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Beagle---0.9.52.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.52
% Problem  : KRS157+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n003.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 : Wed Apr  9 07:07:49 PM UTC 2025

% Result   : Theorem 8.98s 3.10s
% Output   : CNFRefutation 9.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :    9
% Syntax   : Number of formulae    :  138 (  75 unt;   0 typ;   0 def)
%            Number of atoms       :  421 (   0 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  562 ( 279   ~; 262   |;  15   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  210 ( 209 usr;   1 prp; 0-2 aty)
%            Number of functors    :  153 ( 153 usr;   5 con; 0-1 aty)
%            Number of variables   :   27 (  27   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ ra_Px9 > ra_Px88 > ra_Px87 > ra_Px86 > ra_Px85 > ra_Px76 > ra_Px75 > ra_Px74 > ra_Px73 > ra_Px72 > ra_Px71 > ra_Px70 > ra_Px7 > ra_Px69 > ra_Px68 > ra_Px65 > ra_Px62 > ra_Px59 > ra_Px58 > ra_Px57 > ra_Px56 > ra_Px55 > ra_Px52 > ra_Px5 > ra_Px49 > ra_Px46 > ra_Px45 > ra_Px44 > ra_Px43 > ra_Px40 > ra_Px4 > ra_Px37 > ra_Px34 > ra_Px32 > ra_Px31 > ra_Px30 > ra_Px29 > ra_Px26 > ra_Px23 > ra_Px20 > ra_Px2 > ra_Px19 > ra_Px18 > ra_Px14 > ra_Px12 > ra_Px10 > ra_Px1 > rR1 > xsd_string > xsd_integer > cowlThing > cowlNothing > cTOP > cTEST > cC98xcomp > cC98 > cC96xcomp > cC96 > cC94xcomp > cC94 > cC92 > cC90xcomp > cC90 > cC8xcomp > cC88 > cC86 > cC84 > cC82 > cC80 > cC8 > cC78xcomp > cC78 > cC76 > cC74 > cC72xcomp > cC72 > cC70xcomp > cC70 > cC68 > cC66 > cC64 > cC62xcomp > cC62 > cC60xcomp > cC60 > cC6 > cC58xcomp > cC58 > cC56 > cC54xcomp > cC54 > cC52 > cC50 > cC48 > cC46 > cC44 > cC42xcomp > cC42 > cC40xcomp > cC40 > cC4 > cC38xcomp > cC38 > cC36 > cC34 > cC32xcomp > cC32 > cC30 > cC2xcomp > cC28 > cC26xcomp > cC26 > cC24xcomp > cC24 > cC22xcomp > cC22 > cC216 > cC214xcomp > cC214 > cC212xcomp > cC212 > cC210 > cC208xcomp > cC208 > cC206 > cC204 > cC202xcomp > cC202 > cC200xcomp > cC200 > cC20 > cC2 > cC198 > cC196xcomp > cC196 > cC194 > cC192 > cC190 > cC188 > cC186 > cC184xcomp > cC184 > cC182 > cC180 > cC18 > cC178xcomp > cC178 > cC176xcomp > cC176 > cC174 > cC172 > cC170 > cC16xcomp > cC168xcomp > cC168 > cC166xcomp > cC166 > cC164xcomp > cC164 > cC162 > cC160xcomp > cC160 > cC16 > cC158 > cC156 > cC154 > cC152 > cC150 > cC148xcomp > cC148 > cC146 > cC144 > cC142xcomp > cC142 > cC140xcomp > cC140 > cC14 > cC138 > cC136 > cC134xcomp > cC134 > cC132xcomp > cC132 > cC130xcomp > cC130 > cC12xcomp > cC128 > cC126xcomp > cC126 > cC124 > cC122 > cC120 > cC12 > cC118 > cC116 > cC114xcomp > cC114 > cC112 > cC110 > cC10xcomp > cC108xcomp > cC108 > cC106xcomp > cC106 > cC104 > cC102 > cC100xcomp > cC100 > cC10 > #nlpp > iV3102 > #skF_53 > #skF_91 > #skF_135 > #skF_9 > #skF_134 > #skF_36 > #skF_25 > #skF_7 > #skF_5 > #skF_114 > #skF_44 > #skF_133 > #skF_21 > #skF_16 > #skF_61 > #skF_130 > #skF_109 > #skF_117 > #skF_105 > #skF_2 > #skF_4 > #skF_123 > #skF_18 > #skF_24 > #skF_66 > #skF_106 > #skF_35 > #skF_141 > #skF_101 > #skF_129 > #skF_19 > #skF_1 > #skF_31 > #skF_75 > #skF_62 > #skF_73 > #skF_79 > #skF_22 > #skF_103 > #skF_37 > #skF_150 > #skF_120 > #skF_127 > #skF_72 > #skF_111 > #skF_140 > #skF_97 > #skF_118 > #skF_131 > #skF_40 > #skF_8 > #skF_100 > #skF_122 > #skF_136 > #skF_138 > #skF_124 > #skF_69 > #skF_68 > #skF_52 > #skF_64 > #skF_34 > #skF_58 > #skF_29 > #skF_15 > #skF_32 > #skF_151 > #skF_93 > #skF_98 > #skF_56 > #skF_60 > #skF_28 > #skF_71 > #skF_110 > #skF_10 > #skF_41 > #skF_147 > #skF_83 > #skF_126 > #skF_152 > #skF_82 > #skF_38 > #skF_43 > #skF_132 > #skF_144 > #skF_149 > #skF_128 > #skF_107 > #skF_113 > #skF_92 > #skF_108 > #skF_80 > #skF_57 > #skF_90 > #skF_74 > #skF_84 > #skF_39 > #skF_23 > #skF_59 > #skF_33 > #skF_26 > #skF_13 > #skF_96 > #skF_102 > #skF_67 > #skF_89 > #skF_116 > #skF_78 > #skF_77 > #skF_115 > #skF_17 > #skF_3 > #skF_54 > #skF_145 > #skF_121 > #skF_11 > #skF_95 > #skF_137 > #skF_94 > #skF_99 > #skF_142 > #skF_14 > #skF_148 > #skF_48 > #skF_81 > #skF_88 > #skF_27 > #skF_143 > #skF_12 > #skF_49 > #skF_87 > #skF_86 > #skF_46 > #skF_42 > #skF_50 > #skF_119 > #skF_45 > #skF_55 > #skF_30 > #skF_146 > #skF_6 > #skF_139 > #skF_65 > #skF_70 > #skF_125 > #skF_63 > #skF_20 > #skF_76 > #skF_112 > #skF_85 > #skF_51 > #skF_47 > #skF_104

%Foreground sorts:

%Background operators:

%Foreground operators:
tff('#skF_53',type,
    '#skF_53': $i > $i ).

tff(cC186,type,
    cC186: $i > $o ).

tff(cC104,type,
    cC104: $i > $o ).

tff(cC94,type,
    cC94: $i > $o ).

tff(cC8,type,
    cC8: $i > $o ).

tff(ra_Px49,type,
    ra_Px49: ( $i * $i ) > $o ).

tff('#skF_91',type,
    '#skF_91': $i > $i ).

tff(cC70,type,
    cC70: $i > $o ).

tff(cC142,type,
    cC142: $i > $o ).

tff(cTOP,type,
    cTOP: $i > $o ).

tff('#skF_135',type,
    '#skF_135': $i > $i ).

tff('#skF_9',type,
    '#skF_9': $i > $i ).

tff('#skF_134',type,
    '#skF_134': $i > $i ).

tff('#skF_36',type,
    '#skF_36': $i > $i ).

tff('#skF_25',type,
    '#skF_25': $i > $i ).

tff('#skF_7',type,
    '#skF_7': $i > $i ).

tff(cC166,type,
    cC166: $i > $o ).

tff('#skF_5',type,
    '#skF_5': $i > $i ).

tff(cC178,type,
    cC178: $i > $o ).

tff(ra_Px70,type,
    ra_Px70: ( $i * $i ) > $o ).

tff('#skF_114',type,
    '#skF_114': $i > $i ).

tff(cC140xcomp,type,
    cC140xcomp: $i > $o ).

tff(ra_Px5,type,
    ra_Px5: ( $i * $i ) > $o ).

tff('#skF_44',type,
    '#skF_44': $i > $i ).

tff('#skF_133',type,
    '#skF_133': $i > $i ).

tff('#skF_21',type,
    '#skF_21': $i > $i ).

tff(cC162,type,
    cC162: $i > $o ).

tff(cC14,type,
    cC14: $i > $o ).

tff(cC100,type,
    cC100: $i > $o ).

tff(cC154,type,
    cC154: $i > $o ).

tff('#skF_16',type,
    '#skF_16': $i > $i ).

tff(ra_Px59,type,
    ra_Px59: ( $i * $i ) > $o ).

tff(cC10xcomp,type,
    cC10xcomp: $i > $o ).

tff(ra_Px71,type,
    ra_Px71: ( $i * $i ) > $o ).

tff('#skF_61',type,
    '#skF_61': $i > $i ).

tff('#skF_130',type,
    '#skF_130': $i > $i ).

tff('#skF_109',type,
    '#skF_109': $i > $i ).

tff(cC130,type,
    cC130: $i > $o ).

tff('#skF_117',type,
    '#skF_117': $i > $i ).

tff(ra_Px37,type,
    ra_Px37: ( $i * $i ) > $o ).

tff('#skF_105',type,
    '#skF_105': $i > $i ).

tff(ra_Px72,type,
    ra_Px72: ( $i * $i ) > $o ).

tff(ra_Px76,type,
    ra_Px76: ( $i * $i ) > $o ).

tff('#skF_2',type,
    '#skF_2': $i > $i ).

tff('#skF_4',type,
    '#skF_4': $i > $i ).

tff('#skF_123',type,
    '#skF_123': $i > $i ).

tff(ra_Px20,type,
    ra_Px20: ( $i * $i ) > $o ).

tff('#skF_18',type,
    '#skF_18': $i > $i ).

tff(cC214,type,
    cC214: $i > $o ).

tff(ra_Px2,type,
    ra_Px2: ( $i * $i ) > $o ).

tff(cC88,type,
    cC88: $i > $o ).

tff(ra_Px30,type,
    ra_Px30: ( $i * $i ) > $o ).

tff(cC156,type,
    cC156: $i > $o ).

tff(cC22,type,
    cC22: $i > $o ).

tff('#skF_24',type,
    '#skF_24': $i > $i ).

tff(cC112,type,
    cC112: $i > $o ).

tff('#skF_66',type,
    '#skF_66': $i > $i ).

tff(cowlThing,type,
    cowlThing: $i > $o ).

tff(cC34,type,
    cC34: $i > $o ).

tff('#skF_106',type,
    '#skF_106': $i > $i ).

tff('#skF_35',type,
    '#skF_35': $i > $i ).

tff(ra_Px68,type,
    ra_Px68: ( $i * $i ) > $o ).

tff('#skF_141',type,
    '#skF_141': $i > $i ).

tff(cC148xcomp,type,
    cC148xcomp: $i > $o ).

tff(cC114xcomp,type,
    cC114xcomp: $i > $o ).

tff('#skF_101',type,
    '#skF_101': $i > $i ).

tff(cC2,type,
    cC2: $i > $o ).

tff('#skF_129',type,
    '#skF_129': $i > $i ).

tff('#skF_19',type,
    '#skF_19': $i > $i ).

tff(cC100xcomp,type,
    cC100xcomp: $i > $o ).

tff('#skF_1',type,
    '#skF_1': $i > $i ).

tff(cC40xcomp,type,
    cC40xcomp: $i > $o ).

tff(cC108xcomp,type,
    cC108xcomp: $i > $o ).

tff('#skF_31',type,
    '#skF_31': $i > $i ).

tff(ra_Px55,type,
    ra_Px55: ( $i * $i ) > $o ).

tff('#skF_75',type,
    '#skF_75': $i > $i ).

tff(cC106xcomp,type,
    cC106xcomp: $i > $o ).

tff(cC168,type,
    cC168: $i > $o ).

tff(cC52,type,
    cC52: $i > $o ).

tff('#skF_62',type,
    '#skF_62': $i > $i ).

tff('#skF_73',type,
    '#skF_73': $i > $i ).

tff('#skF_79',type,
    '#skF_79': $i > $i ).

tff(ra_Px26,type,
    ra_Px26: ( $i * $i ) > $o ).

tff(cC118,type,
    cC118: $i > $o ).

tff(cC208,type,
    cC208: $i > $o ).

tff('#skF_22',type,
    '#skF_22': $i > $i ).

tff(cC16,type,
    cC16: $i > $o ).

tff('#skF_103',type,
    '#skF_103': $i > $i ).

tff(cC202xcomp,type,
    cC202xcomp: $i > $o ).

tff(cC22xcomp,type,
    cC22xcomp: $i > $o ).

tff(cC198,type,
    cC198: $i > $o ).

tff(cC78,type,
    cC78: $i > $o ).

tff('#skF_37',type,
    '#skF_37': $i > $i ).

tff('#skF_150',type,
    '#skF_150': $i ).

tff('#skF_120',type,
    '#skF_120': $i > $i ).

tff(cC180,type,
    cC180: $i > $o ).

tff(cC194,type,
    cC194: $i > $o ).

tff(ra_Px73,type,
    ra_Px73: ( $i * $i ) > $o ).

tff('#skF_127',type,
    '#skF_127': $i > $i ).

tff(cC10,type,
    cC10: $i > $o ).

tff('#skF_72',type,
    '#skF_72': $i > $i ).

tff(ra_Px75,type,
    ra_Px75: ( $i * $i ) > $o ).

tff('#skF_111',type,
    '#skF_111': $i > $i ).

tff('#skF_140',type,
    '#skF_140': $i > $i ).

tff('#skF_97',type,
    '#skF_97': $i > $i ).

tff('#skF_118',type,
    '#skF_118': $i > $i ).

tff(cC148,type,
    cC148: $i > $o ).

tff(cC108,type,
    cC108: $i > $o ).

tff(cC62xcomp,type,
    cC62xcomp: $i > $o ).

tff('#skF_131',type,
    '#skF_131': $i > $i ).

tff(cC176,type,
    cC176: $i > $o ).

tff('#skF_40',type,
    '#skF_40': $i > $i ).

tff(cC42xcomp,type,
    cC42xcomp: $i > $o ).

tff('#skF_8',type,
    '#skF_8': $i > $i ).

tff('#skF_100',type,
    '#skF_100': $i > $i ).

tff(ra_Px14,type,
    ra_Px14: ( $i * $i ) > $o ).

tff('#skF_122',type,
    '#skF_122': $i > $i ).

tff('#skF_136',type,
    '#skF_136': $i > $i ).

tff(cC128,type,
    cC128: $i > $o ).

tff(cC82,type,
    cC82: $i > $o ).

tff(cC98xcomp,type,
    cC98xcomp: $i > $o ).

tff(cC160xcomp,type,
    cC160xcomp: $i > $o ).

tff('#skF_138',type,
    '#skF_138': $i > $i ).

tff(cC72,type,
    cC72: $i > $o ).

tff(cC56,type,
    cC56: $i > $o ).

tff(cC136,type,
    cC136: $i > $o ).

tff('#skF_124',type,
    '#skF_124': $i > $i ).

tff(cTEST,type,
    cTEST: $i > $o ).

tff(ra_Px62,type,
    ra_Px62: ( $i * $i ) > $o ).

tff('#skF_69',type,
    '#skF_69': $i > $i ).

tff('#skF_68',type,
    '#skF_68': $i > $i ).

tff(cC58,type,
    cC58: $i > $o ).

tff('#skF_52',type,
    '#skF_52': $i > $i ).

tff(cC12,type,
    cC12: $i > $o ).

tff('#skF_64',type,
    '#skF_64': $i > $i ).

tff(cC114,type,
    cC114: $i > $o ).

tff(ra_Px31,type,
    ra_Px31: ( $i * $i ) > $o ).

tff(cC96,type,
    cC96: $i > $o ).

tff(cC134xcomp,type,
    cC134xcomp: $i > $o ).

tff(cC46,type,
    cC46: $i > $o ).

tff(cC176xcomp,type,
    cC176xcomp: $i > $o ).

tff('#skF_34',type,
    '#skF_34': $i > $i ).

tff('#skF_58',type,
    '#skF_58': $i > $i ).

tff('#skF_29',type,
    '#skF_29': $i > $i ).

tff(cC84,type,
    cC84: $i > $o ).

tff('#skF_15',type,
    '#skF_15': $i > $i ).

tff(ra_Px85,type,
    ra_Px85: ( $i * $i ) > $o ).

tff(xsd_integer,type,
    xsd_integer: $i > $o ).

tff('#skF_32',type,
    '#skF_32': $i > $i ).

tff(cC64,type,
    cC64: $i > $o ).

tff(cC206,type,
    cC206: $i > $o ).

tff(cC48,type,
    cC48: $i > $o ).

tff('#skF_151',type,
    '#skF_151': $i ).

tff('#skF_93',type,
    '#skF_93': $i > $i ).

tff('#skF_98',type,
    '#skF_98': $i > $i ).

tff('#skF_56',type,
    '#skF_56': $i > $i ).

tff(cC126xcomp,type,
    cC126xcomp: $i > $o ).

tff(cC38,type,
    cC38: $i > $o ).

tff(cC124,type,
    cC124: $i > $o ).

tff('#skF_60',type,
    '#skF_60': $i > $i ).

tff(cC214xcomp,type,
    cC214xcomp: $i > $o ).

tff(cC6,type,
    cC6: $i > $o ).

tff(cC106,type,
    cC106: $i > $o ).

tff(cC18,type,
    cC18: $i > $o ).

tff('#skF_28',type,
    '#skF_28': $i > $i ).

tff('#skF_71',type,
    '#skF_71': $i > $i ).

tff(ra_Px40,type,
    ra_Px40: ( $i * $i ) > $o ).

tff(ra_Px23,type,
    ra_Px23: ( $i * $i ) > $o ).

tff('#skF_110',type,
    '#skF_110': $i > $i ).

tff('#skF_10',type,
    '#skF_10': $i > $i ).

tff('#skF_41',type,
    '#skF_41': $i > $i ).

tff(cC142xcomp,type,
    cC142xcomp: $i > $o ).

tff('#skF_147',type,
    '#skF_147': $i > $i ).

tff('#skF_83',type,
    '#skF_83': $i > $i ).

tff('#skF_126',type,
    '#skF_126': $i > $i ).

tff(cC188,type,
    cC188: $i > $o ).

tff(cC150,type,
    cC150: $i > $o ).

tff(ra_Px7,type,
    ra_Px7: ( $i * $i ) > $o ).

tff(ra_Px74,type,
    ra_Px74: ( $i * $i ) > $o ).

tff('#skF_152',type,
    '#skF_152': $i ).

tff('#skF_82',type,
    '#skF_82': $i > $i ).

tff('#skF_38',type,
    '#skF_38': $i > $i ).

tff('#skF_43',type,
    '#skF_43': $i > $i ).

tff(ra_Px9,type,
    ra_Px9: ( $i * $i ) > $o ).

tff(ra_Px52,type,
    ra_Px52: ( $i * $i ) > $o ).

tff('#skF_132',type,
    '#skF_132': $i > $i ).

tff('#skF_144',type,
    '#skF_144': $i > $i ).

tff(cC42,type,
    cC42: $i > $o ).

tff(cC78xcomp,type,
    cC78xcomp: $i > $o ).

tff('#skF_149',type,
    '#skF_149': $i ).

tff(ra_Px34,type,
    ra_Px34: ( $i * $i ) > $o ).

tff('#skF_128',type,
    '#skF_128': $i > $i ).

tff(ra_Px57,type,
    ra_Px57: ( $i * $i ) > $o ).

tff(cC60,type,
    cC60: $i > $o ).

tff(cC38xcomp,type,
    cC38xcomp: $i > $o ).

tff(cC204,type,
    cC204: $i > $o ).

tff(cC216,type,
    cC216: $i > $o ).

tff('#skF_107',type,
    '#skF_107': $i > $i ).

tff('#skF_113',type,
    '#skF_113': $i > $i ).

tff(cC92,type,
    cC92: $i > $o ).

tff('#skF_92',type,
    '#skF_92': $i > $i ).

tff('#skF_108',type,
    '#skF_108': $i > $i ).

tff(ra_Px69,type,
    ra_Px69: ( $i * $i ) > $o ).

tff('#skF_80',type,
    '#skF_80': $i > $i ).

tff('#skF_57',type,
    '#skF_57': $i > $i ).

tff('#skF_90',type,
    '#skF_90': $i > $i ).

tff(ra_Px1,type,
    ra_Px1: ( $i * $i ) > $o ).

tff(ra_Px43,type,
    ra_Px43: ( $i * $i ) > $o ).

tff(ra_Px12,type,
    ra_Px12: ( $i * $i ) > $o ).

tff(cC8xcomp,type,
    cC8xcomp: $i > $o ).

tff(cC68,type,
    cC68: $i > $o ).

tff(cC200xcomp,type,
    cC200xcomp: $i > $o ).

tff('#skF_74',type,
    '#skF_74': $i > $i ).

tff(cC16xcomp,type,
    cC16xcomp: $i > $o ).

tff(ra_Px32,type,
    ra_Px32: ( $i * $i ) > $o ).

tff('#skF_84',type,
    '#skF_84': $i > $i ).

tff('#skF_39',type,
    '#skF_39': $i > $i ).

tff(cC62,type,
    cC62: $i > $o ).

tff(cC80,type,
    cC80: $i > $o ).

tff(cC98,type,
    cC98: $i > $o ).

tff('#skF_23',type,
    '#skF_23': $i > $i ).

tff('#skF_59',type,
    '#skF_59': $i > $i ).

tff(cC40,type,
    cC40: $i > $o ).

tff(cC196xcomp,type,
    cC196xcomp: $i > $o ).

tff(ra_Px19,type,
    ra_Px19: ( $i * $i ) > $o ).

tff(ra_Px87,type,
    ra_Px87: ( $i * $i ) > $o ).

tff(cC72xcomp,type,
    cC72xcomp: $i > $o ).

tff('#skF_33',type,
    '#skF_33': $i > $i ).

tff(cC54,type,
    cC54: $i > $o ).

tff('#skF_26',type,
    '#skF_26': $i > $i ).

tff(cC184,type,
    cC184: $i > $o ).

tff(ra_Px56,type,
    ra_Px56: ( $i * $i ) > $o ).

tff(rR1,type,
    rR1: ( $i * $i ) > $o ).

tff(cC60xcomp,type,
    cC60xcomp: $i > $o ).

tff(cC58xcomp,type,
    cC58xcomp: $i > $o ).

tff(cC146,type,
    cC146: $i > $o ).

tff(cC76,type,
    cC76: $i > $o ).

tff('#skF_13',type,
    '#skF_13': $i > $i ).

tff(cC170,type,
    cC170: $i > $o ).

tff(cC202,type,
    cC202: $i > $o ).

tff('#skF_96',type,
    '#skF_96': $i > $i ).

tff(cC90xcomp,type,
    cC90xcomp: $i > $o ).

tff(ra_Px65,type,
    ra_Px65: ( $i * $i ) > $o ).

tff('#skF_102',type,
    '#skF_102': $i > $i ).

tff(cC212xcomp,type,
    cC212xcomp: $i > $o ).

tff('#skF_67',type,
    '#skF_67': $i > $i ).

tff(cC132xcomp,type,
    cC132xcomp: $i > $o ).

tff(ra_Px58,type,
    ra_Px58: ( $i * $i ) > $o ).

tff('#skF_89',type,
    '#skF_89': $i > $i ).

tff('#skF_116',type,
    '#skF_116': $i > $i ).

tff('#skF_78',type,
    '#skF_78': $i > $i ).

tff('#skF_77',type,
    '#skF_77': $i > $i ).

tff(cC28,type,
    cC28: $i > $o ).

tff(cC2xcomp,type,
    cC2xcomp: $i > $o ).

tff(xsd_string,type,
    xsd_string: $i > $o ).

tff(cC74,type,
    cC74: $i > $o ).

tff(cC86,type,
    cC86: $i > $o ).

tff(cC12xcomp,type,
    cC12xcomp: $i > $o ).

tff(cC50,type,
    cC50: $i > $o ).

tff('#skF_115',type,
    '#skF_115': $i > $i ).

tff(cC32,type,
    cC32: $i > $o ).

tff('#skF_17',type,
    '#skF_17': $i > $i ).

tff('#skF_3',type,
    '#skF_3': $i > $i ).

tff('#skF_54',type,
    '#skF_54': $i > $i ).

tff('#skF_145',type,
    '#skF_145': $i > $i ).

tff('#skF_121',type,
    '#skF_121': $i > $i ).

tff('#skF_11',type,
    '#skF_11': $i > $i ).

tff(cC182,type,
    cC182: $i > $o ).

tff('#skF_95',type,
    '#skF_95': $i > $i ).

tff('#skF_137',type,
    '#skF_137': $i > $i ).

tff(cC164xcomp,type,
    cC164xcomp: $i > $o ).

tff(cC116,type,
    cC116: $i > $o ).

tff('#skF_94',type,
    '#skF_94': $i > $i ).

tff('#skF_99',type,
    '#skF_99': $i > $i ).

tff(cC36,type,
    cC36: $i > $o ).

tff(cC152,type,
    cC152: $i > $o ).

tff('#skF_142',type,
    '#skF_142': $i > $i ).

tff(cC192,type,
    cC192: $i > $o ).

tff(cC110,type,
    cC110: $i > $o ).

tff(iV3102,type,
    iV3102: $i ).

tff('#skF_14',type,
    '#skF_14': $i > $i ).

tff(cC120,type,
    cC120: $i > $o ).

tff(ra_Px88,type,
    ra_Px88: ( $i * $i ) > $o ).

tff(cC130xcomp,type,
    cC130xcomp: $i > $o ).

tff(cC174,type,
    cC174: $i > $o ).

tff(cC44,type,
    cC44: $i > $o ).

tff('#skF_148',type,
    '#skF_148': $i > $i ).

tff(cC208xcomp,type,
    cC208xcomp: $i > $o ).

tff(cC196,type,
    cC196: $i > $o ).

tff(cC70xcomp,type,
    cC70xcomp: $i > $o ).

tff(cC168xcomp,type,
    cC168xcomp: $i > $o ).

tff(cC190,type,
    cC190: $i > $o ).

tff(cC126,type,
    cC126: $i > $o ).

tff(ra_Px29,type,
    ra_Px29: ( $i * $i ) > $o ).

tff(cC66,type,
    cC66: $i > $o ).

tff(cC158,type,
    cC158: $i > $o ).

tff(cC166xcomp,type,
    cC166xcomp: $i > $o ).

tff('#skF_48',type,
    '#skF_48': $i > $i ).

tff('#skF_81',type,
    '#skF_81': $i > $i ).

tff('#skF_88',type,
    '#skF_88': $i > $i ).

tff(cC4,type,
    cC4: $i > $o ).

tff(cC32xcomp,type,
    cC32xcomp: $i > $o ).

tff(cC144,type,
    cC144: $i > $o ).

tff(cC94xcomp,type,
    cC94xcomp: $i > $o ).

tff(cC172,type,
    cC172: $i > $o ).

tff(cC134,type,
    cC134: $i > $o ).

tff('#skF_27',type,
    '#skF_27': $i > $i ).

tff('#skF_143',type,
    '#skF_143': $i > $i ).

tff(cC20,type,
    cC20: $i > $o ).

tff('#skF_12',type,
    '#skF_12': $i > $i ).

tff(cC122,type,
    cC122: $i > $o ).

tff(ra_Px10,type,
    ra_Px10: ( $i * $i ) > $o ).

tff('#skF_49',type,
    '#skF_49': $i > $i ).

tff(cC160,type,
    cC160: $i > $o ).

tff('#skF_87',type,
    '#skF_87': $i > $i ).

tff(ra_Px18,type,
    ra_Px18: ( $i * $i ) > $o ).

tff('#skF_86',type,
    '#skF_86': $i > $i ).

tff(cC26xcomp,type,
    cC26xcomp: $i > $o ).

tff('#skF_46',type,
    '#skF_46': $i > $i ).

tff(cC138,type,
    cC138: $i > $o ).

tff(ra_Px86,type,
    ra_Px86: ( $i * $i ) > $o ).

tff('#skF_42',type,
    '#skF_42': $i > $i ).

tff(ra_Px45,type,
    ra_Px45: ( $i * $i ) > $o ).

tff(cC132,type,
    cC132: $i > $o ).

tff(cC30,type,
    cC30: $i > $o ).

tff(cC90,type,
    cC90: $i > $o ).

tff(ra_Px46,type,
    ra_Px46: ( $i * $i ) > $o ).

tff('#skF_50',type,
    '#skF_50': $i > $i ).

tff(cC178xcomp,type,
    cC178xcomp: $i > $o ).

tff(cC96xcomp,type,
    cC96xcomp: $i > $o ).

tff('#skF_119',type,
    '#skF_119': $i > $i ).

tff(cC140,type,
    cC140: $i > $o ).

tff(cC24,type,
    cC24: $i > $o ).

tff('#skF_45',type,
    '#skF_45': $i > $i ).

tff('#skF_55',type,
    '#skF_55': $i > $i ).

tff(cC26,type,
    cC26: $i > $o ).

tff('#skF_30',type,
    '#skF_30': $i > $i ).

tff('#skF_146',type,
    '#skF_146': $i > $i ).

tff('#skF_6',type,
    '#skF_6': $i > $i ).

tff(cowlNothing,type,
    cowlNothing: $i > $o ).

tff('#skF_139',type,
    '#skF_139': $i > $i ).

tff(cC24xcomp,type,
    cC24xcomp: $i > $o ).

tff(cC210,type,
    cC210: $i > $o ).

tff('#skF_65',type,
    '#skF_65': $i > $i ).

tff(cC54xcomp,type,
    cC54xcomp: $i > $o ).

tff('#skF_70',type,
    '#skF_70': $i > $i ).

tff('#skF_125',type,
    '#skF_125': $i > $i ).

tff(cC184xcomp,type,
    cC184xcomp: $i > $o ).

tff(cC200,type,
    cC200: $i > $o ).

tff('#skF_63',type,
    '#skF_63': $i > $i ).

tff('#skF_20',type,
    '#skF_20': $i > $i ).

tff('#skF_76',type,
    '#skF_76': $i > $i ).

tff('#skF_112',type,
    '#skF_112': $i > $i ).

tff(cC102,type,
    cC102: $i > $o ).

tff(ra_Px44,type,
    ra_Px44: ( $i * $i ) > $o ).

tff('#skF_85',type,
    '#skF_85': $i > $i ).

tff(cC212,type,
    cC212: $i > $o ).

tff('#skF_51',type,
    '#skF_51': $i > $i ).

tff('#skF_47',type,
    '#skF_47': $i > $i ).

tff(ra_Px4,type,
    ra_Px4: ( $i * $i ) > $o ).

tff('#skF_104',type,
    '#skF_104': $i > $i ).

tff(cC164,type,
    cC164: $i > $o ).

tff(f_39,axiom,
    ! [X] :
      ( xsd_string(X)
    <=> ~ xsd_integer(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

tff(f_33,axiom,
    ! [X] :
      ( cowlThing(X)
      & ~ cowlNothing(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).

tff(f_1493,axiom,
    cowlThing(iV3102),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_217) ).

tff(f_1533,negated_conjecture,
    ~ ( ! [X] :
          ( cowlThing(X)
          & ~ cowlNothing(X) )
      & ! [X] :
          ( xsd_string(X)
        <=> ~ xsd_integer(X) )
      & cC14(iV3102)
      & cC44(iV3102)
      & cC216(iV3102)
      & cC64(iV3102)
      & cC46(iV3102)
      & cC28(iV3102)
      & cowlThing(iV3102)
      & cC30(iV3102) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

tff(f_1448,axiom,
    cTEST(iV3102),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_202) ).

tff(f_1446,axiom,
    ! [X] :
      ( cTEST(X)
    <=> ( cC216(X)
        & cC46(X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_201) ).

tff(f_1072,axiom,
    ! [X] :
      ( cC46(X)
    <=> ( cC30(X)
        & cC44(X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_148) ).

tff(f_960,axiom,
    ! [X] :
      ( cC30(X)
    <=> ( cC28(X)
        & cC14(X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_132) ).

tff(f_884,axiom,
    ! [X] :
      ( cC216(X)
    <=> ( cC64(X)
        & cC214xcomp(X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_121) ).

tff(c_8,plain,
    ! [X_2] :
      ( xsd_string(X_2)
      | xsd_integer(X_2) ),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_2,plain,
    ! [X_1] : cowlThing(X_1),
    inference(cnfTransformation,[status(thm)],[f_33]) ).

tff(c_4,plain,
    ! [X_1] : ~ cowlNothing(X_1),
    inference(cnfTransformation,[status(thm)],[f_33]) ).

tff(c_1052,plain,
    cowlThing(iV3102),
    inference(cnfTransformation,[status(thm)],[f_1493]) ).

tff(c_1060,plain,
    ( ~ xsd_string('#skF_151')
    | xsd_string('#skF_152')
    | ~ cC30(iV3102)
    | ~ cowlThing(iV3102)
    | ~ cC28(iV3102)
    | ~ cC46(iV3102)
    | ~ cC64(iV3102)
    | ~ cC216(iV3102)
    | ~ cC44(iV3102)
    | ~ cC14(iV3102)
    | ~ cowlThing('#skF_150')
    | cowlNothing('#skF_149') ),
    inference(cnfTransformation,[status(thm)],[f_1533]) ).

tff(c_1070,plain,
    ( ~ xsd_string('#skF_151')
    | xsd_string('#skF_152')
    | ~ cC30(iV3102)
    | ~ cC28(iV3102)
    | ~ cC46(iV3102)
    | ~ cC64(iV3102)
    | ~ cC216(iV3102)
    | ~ cC44(iV3102)
    | ~ cC14(iV3102)
    | ~ cowlThing('#skF_150')
    | cowlNothing('#skF_149') ),
    inference(demodulation,[status(thm),theory(equality)],[c_1052,c_1060]) ).

tff(c_1072,plain,
    ( ~ xsd_string('#skF_151')
    | xsd_string('#skF_152')
    | ~ cC30(iV3102)
    | ~ cC28(iV3102)
    | ~ cC46(iV3102)
    | ~ cC64(iV3102)
    | ~ cC216(iV3102)
    | ~ cC44(iV3102)
    | ~ cC14(iV3102)
    | ~ cowlThing('#skF_150') ),
    inference(negUnitSimplification,[status(thm)],[c_4,c_1070]) ).

tff(c_1079,plain,
    ( ~ xsd_string('#skF_151')
    | xsd_string('#skF_152')
    | ~ cC30(iV3102)
    | ~ cC28(iV3102)
    | ~ cC46(iV3102)
    | ~ cC64(iV3102)
    | ~ cC216(iV3102)
    | ~ cC44(iV3102)
    | ~ cC14(iV3102) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_1072]) ).

tff(c_1086,plain,
    ~ cC14(iV3102),
    inference(splitLeft,[status(thm)],[c_1079]) ).

tff(c_1022,plain,
    cTEST(iV3102),
    inference(cnfTransformation,[status(thm)],[f_1448]) ).

tff(c_1179,plain,
    ! [X_729] :
      ( cC46(X_729)
      | ~ cTEST(X_729) ),
    inference(cnfTransformation,[status(thm)],[f_1446]) ).

tff(c_1183,plain,
    cC46(iV3102),
    inference(resolution,[status(thm)],[c_1022,c_1179]) ).

tff(c_750,plain,
    ! [X_476] :
      ( cC30(X_476)
      | ~ cC46(X_476) ),
    inference(cnfTransformation,[status(thm)],[f_1072]) ).

tff(c_1192,plain,
    cC30(iV3102),
    inference(resolution,[status(thm)],[c_1183,c_750]) ).

tff(c_1229,plain,
    ! [X_748] :
      ( cC14(X_748)
      | ~ cC30(X_748) ),
    inference(cnfTransformation,[status(thm)],[f_960]) ).

tff(c_1232,plain,
    cC14(iV3102),
    inference(resolution,[status(thm)],[c_1192,c_1229]) ).

tff(c_1236,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1086,c_1232]) ).

tff(c_1238,plain,
    cC14(iV3102),
    inference(splitRight,[status(thm)],[c_1079]) ).

tff(c_1058,plain,
    ( ~ xsd_integer('#skF_151')
    | xsd_integer('#skF_152')
    | ~ cC30(iV3102)
    | ~ cowlThing(iV3102)
    | ~ cC28(iV3102)
    | ~ cC46(iV3102)
    | ~ cC64(iV3102)
    | ~ cC216(iV3102)
    | ~ cC44(iV3102)
    | ~ cC14(iV3102)
    | ~ cowlThing('#skF_150')
    | cowlNothing('#skF_149') ),
    inference(cnfTransformation,[status(thm)],[f_1533]) ).

tff(c_1066,plain,
    ( ~ xsd_integer('#skF_151')
    | xsd_integer('#skF_152')
    | ~ cC30(iV3102)
    | ~ cC28(iV3102)
    | ~ cC46(iV3102)
    | ~ cC64(iV3102)
    | ~ cC216(iV3102)
    | ~ cC44(iV3102)
    | ~ cC14(iV3102)
    | ~ cowlThing('#skF_150')
    | cowlNothing('#skF_149') ),
    inference(demodulation,[status(thm),theory(equality)],[c_1052,c_1058]) ).

tff(c_1074,plain,
    ( ~ xsd_integer('#skF_151')
    | xsd_integer('#skF_152')
    | ~ cC30(iV3102)
    | ~ cC28(iV3102)
    | ~ cC46(iV3102)
    | ~ cC64(iV3102)
    | ~ cC216(iV3102)
    | ~ cC44(iV3102)
    | ~ cC14(iV3102)
    | ~ cowlThing('#skF_150') ),
    inference(negUnitSimplification,[status(thm)],[c_4,c_1066]) ).

tff(c_1083,plain,
    ( ~ xsd_integer('#skF_151')
    | xsd_integer('#skF_152')
    | ~ cC30(iV3102)
    | ~ cC28(iV3102)
    | ~ cC46(iV3102)
    | ~ cC64(iV3102)
    | ~ cC216(iV3102)
    | ~ cC44(iV3102)
    | ~ cC14(iV3102) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_1074]) ).

tff(c_1246,plain,
    ( ~ xsd_integer('#skF_151')
    | xsd_integer('#skF_152')
    | ~ cC30(iV3102)
    | ~ cC28(iV3102)
    | ~ cC46(iV3102)
    | ~ cC64(iV3102)
    | ~ cC216(iV3102)
    | ~ cC44(iV3102) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1238,c_1083]) ).

tff(c_1247,plain,
    ~ cC44(iV3102),
    inference(splitLeft,[status(thm)],[c_1246]) ).

tff(c_1358,plain,
    ! [X_840] :
      ( cC46(X_840)
      | ~ cTEST(X_840) ),
    inference(cnfTransformation,[status(thm)],[f_1446]) ).

tff(c_1362,plain,
    cC46(iV3102),
    inference(resolution,[status(thm)],[c_1022,c_1358]) ).

tff(c_748,plain,
    ! [X_476] :
      ( cC44(X_476)
      | ~ cC46(X_476) ),
    inference(cnfTransformation,[status(thm)],[f_1072]) ).

tff(c_1365,plain,
    cC44(iV3102),
    inference(resolution,[status(thm)],[c_1362,c_748]) ).

tff(c_1372,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1247,c_1365]) ).

tff(c_1374,plain,
    cC44(iV3102),
    inference(splitRight,[status(thm)],[c_1246]) ).

tff(c_1062,plain,
    ( ~ xsd_integer('#skF_151')
    | xsd_string('#skF_152')
    | ~ cC30(iV3102)
    | ~ cowlThing(iV3102)
    | ~ cC28(iV3102)
    | ~ cC46(iV3102)
    | ~ cC64(iV3102)
    | ~ cC216(iV3102)
    | ~ cC44(iV3102)
    | ~ cC14(iV3102)
    | ~ cowlThing('#skF_150')
    | cowlNothing('#skF_149') ),
    inference(cnfTransformation,[status(thm)],[f_1533]) ).

tff(c_1064,plain,
    ( ~ xsd_integer('#skF_151')
    | xsd_string('#skF_152')
    | ~ cC30(iV3102)
    | ~ cC28(iV3102)
    | ~ cC46(iV3102)
    | ~ cC64(iV3102)
    | ~ cC216(iV3102)
    | ~ cC44(iV3102)
    | ~ cC14(iV3102)
    | ~ cowlThing('#skF_150')
    | cowlNothing('#skF_149') ),
    inference(demodulation,[status(thm),theory(equality)],[c_1052,c_1062]) ).

tff(c_1073,plain,
    ( ~ xsd_integer('#skF_151')
    | xsd_string('#skF_152')
    | ~ cC30(iV3102)
    | ~ cC28(iV3102)
    | ~ cC46(iV3102)
    | ~ cC64(iV3102)
    | ~ cC216(iV3102)
    | ~ cC44(iV3102)
    | ~ cC14(iV3102)
    | ~ cowlThing('#skF_150') ),
    inference(negUnitSimplification,[status(thm)],[c_4,c_1064]) ).

tff(c_1081,plain,
    ( ~ xsd_integer('#skF_151')
    | xsd_string('#skF_152')
    | ~ cC30(iV3102)
    | ~ cC28(iV3102)
    | ~ cC46(iV3102)
    | ~ cC64(iV3102)
    | ~ cC216(iV3102)
    | ~ cC44(iV3102)
    | ~ cC14(iV3102) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_1073]) ).

tff(c_1376,plain,
    ( ~ xsd_integer('#skF_151')
    | xsd_string('#skF_152')
    | ~ cC30(iV3102)
    | ~ cC28(iV3102)
    | ~ cC46(iV3102)
    | ~ cC64(iV3102)
    | ~ cC216(iV3102)
    | ~ cC44(iV3102) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1238,c_1081]) ).

tff(c_1377,plain,
    ~ cC44(iV3102),
    inference(splitLeft,[status(thm)],[c_1376]) ).

tff(c_1379,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1374,c_1377]) ).

tff(c_1381,plain,
    cC44(iV3102),
    inference(splitRight,[status(thm)],[c_1376]) ).

tff(c_1056,plain,
    ( ~ xsd_string('#skF_151')
    | xsd_integer('#skF_152')
    | ~ cC30(iV3102)
    | ~ cowlThing(iV3102)
    | ~ cC28(iV3102)
    | ~ cC46(iV3102)
    | ~ cC64(iV3102)
    | ~ cC216(iV3102)
    | ~ cC44(iV3102)
    | ~ cC14(iV3102)
    | ~ cowlThing('#skF_150')
    | cowlNothing('#skF_149') ),
    inference(cnfTransformation,[status(thm)],[f_1533]) ).

tff(c_1068,plain,
    ( ~ xsd_string('#skF_151')
    | xsd_integer('#skF_152')
    | ~ cC30(iV3102)
    | ~ cC28(iV3102)
    | ~ cC46(iV3102)
    | ~ cC64(iV3102)
    | ~ cC216(iV3102)
    | ~ cC44(iV3102)
    | ~ cC14(iV3102)
    | ~ cowlThing('#skF_150')
    | cowlNothing('#skF_149') ),
    inference(demodulation,[status(thm),theory(equality)],[c_1052,c_1056]) ).

tff(c_1071,plain,
    ( ~ xsd_string('#skF_151')
    | xsd_integer('#skF_152')
    | ~ cC30(iV3102)
    | ~ cC28(iV3102)
    | ~ cC46(iV3102)
    | ~ cC64(iV3102)
    | ~ cC216(iV3102)
    | ~ cC44(iV3102)
    | ~ cC14(iV3102)
    | ~ cowlThing('#skF_150') ),
    inference(negUnitSimplification,[status(thm)],[c_4,c_1068]) ).

tff(c_1077,plain,
    ( ~ xsd_string('#skF_151')
    | xsd_integer('#skF_152')
    | ~ cC30(iV3102)
    | ~ cC28(iV3102)
    | ~ cC46(iV3102)
    | ~ cC64(iV3102)
    | ~ cC216(iV3102)
    | ~ cC44(iV3102)
    | ~ cC14(iV3102) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_1071]) ).

tff(c_1239,plain,
    ~ cC14(iV3102),
    inference(splitLeft,[status(thm)],[c_1077]) ).

tff(c_1241,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1238,c_1239]) ).

tff(c_1242,plain,
    ( ~ cC44(iV3102)
    | ~ cC216(iV3102)
    | ~ cC64(iV3102)
    | ~ cC46(iV3102)
    | ~ cC28(iV3102)
    | ~ cC30(iV3102)
    | ~ xsd_string('#skF_151')
    | xsd_integer('#skF_152') ),
    inference(splitRight,[status(thm)],[c_1077]) ).

tff(c_1387,plain,
    ( ~ cC216(iV3102)
    | ~ cC64(iV3102)
    | ~ cC46(iV3102)
    | ~ cC28(iV3102)
    | ~ cC30(iV3102)
    | ~ xsd_string('#skF_151')
    | xsd_integer('#skF_152') ),
    inference(demodulation,[status(thm),theory(equality)],[c_1381,c_1242]) ).

tff(c_1388,plain,
    ~ xsd_string('#skF_151'),
    inference(splitLeft,[status(thm)],[c_1387]) ).

tff(c_1392,plain,
    xsd_integer('#skF_151'),
    inference(resolution,[status(thm)],[c_8,c_1388]) ).

tff(c_1380,plain,
    ( ~ cC216(iV3102)
    | ~ cC64(iV3102)
    | ~ cC46(iV3102)
    | ~ cC28(iV3102)
    | ~ cC30(iV3102)
    | ~ xsd_integer('#skF_151')
    | xsd_string('#skF_152') ),
    inference(splitRight,[status(thm)],[c_1376]) ).

tff(c_1416,plain,
    ( ~ cC216(iV3102)
    | ~ cC64(iV3102)
    | ~ cC46(iV3102)
    | ~ cC28(iV3102)
    | ~ cC30(iV3102)
    | xsd_string('#skF_152') ),
    inference(demodulation,[status(thm),theory(equality)],[c_1392,c_1380]) ).

tff(c_1417,plain,
    ~ cC30(iV3102),
    inference(splitLeft,[status(thm)],[c_1416]) ).

tff(c_1495,plain,
    ! [X_912] :
      ( cC46(X_912)
      | ~ cTEST(X_912) ),
    inference(cnfTransformation,[status(thm)],[f_1446]) ).

tff(c_1499,plain,
    cC46(iV3102),
    inference(resolution,[status(thm)],[c_1022,c_1495]) ).

tff(c_1505,plain,
    cC30(iV3102),
    inference(resolution,[status(thm)],[c_1499,c_750]) ).

tff(c_1511,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1417,c_1505]) ).

tff(c_1513,plain,
    cC30(iV3102),
    inference(splitRight,[status(thm)],[c_1416]) ).

tff(c_1373,plain,
    ( ~ cC216(iV3102)
    | ~ cC64(iV3102)
    | ~ cC46(iV3102)
    | ~ cC28(iV3102)
    | ~ cC30(iV3102)
    | ~ xsd_integer('#skF_151')
    | xsd_integer('#skF_152') ),
    inference(splitRight,[status(thm)],[c_1246]) ).

tff(c_1516,plain,
    ( ~ cC216(iV3102)
    | ~ cC64(iV3102)
    | ~ cC46(iV3102)
    | ~ cC28(iV3102)
    | xsd_integer('#skF_152') ),
    inference(demodulation,[status(thm),theory(equality)],[c_1392,c_1513,c_1373]) ).

tff(c_1517,plain,
    ~ cC28(iV3102),
    inference(splitLeft,[status(thm)],[c_1516]) ).

tff(c_1577,plain,
    ! [X_963] :
      ( cC28(X_963)
      | ~ cC30(X_963) ),
    inference(cnfTransformation,[status(thm)],[f_960]) ).

tff(c_1580,plain,
    cC28(iV3102),
    inference(resolution,[status(thm)],[c_1513,c_1577]) ).

tff(c_1584,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1517,c_1580]) ).

tff(c_1585,plain,
    ( ~ cC46(iV3102)
    | ~ cC64(iV3102)
    | ~ cC216(iV3102)
    | xsd_integer('#skF_152') ),
    inference(splitRight,[status(thm)],[c_1516]) ).

tff(c_1598,plain,
    ~ cC216(iV3102),
    inference(splitLeft,[status(thm)],[c_1585]) ).

tff(c_1717,plain,
    ! [X_1038] :
      ( cC216(X_1038)
      | ~ cTEST(X_1038) ),
    inference(cnfTransformation,[status(thm)],[f_1446]) ).

tff(c_1720,plain,
    cC216(iV3102),
    inference(resolution,[status(thm)],[c_1022,c_1717]) ).

tff(c_1724,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1598,c_1720]) ).

tff(c_1726,plain,
    cC216(iV3102),
    inference(splitRight,[status(thm)],[c_1585]) ).

tff(c_1773,plain,
    ! [X_1067] :
      ( cC64(X_1067)
      | ~ cC216(X_1067) ),
    inference(cnfTransformation,[status(thm)],[f_884]) ).

tff(c_1586,plain,
    cC28(iV3102),
    inference(splitRight,[status(thm)],[c_1516]) ).

tff(c_1512,plain,
    ( ~ cC28(iV3102)
    | ~ cC46(iV3102)
    | ~ cC64(iV3102)
    | ~ cC216(iV3102)
    | xsd_string('#skF_152') ),
    inference(splitRight,[status(thm)],[c_1416]) ).

tff(c_1734,plain,
    ( ~ cC46(iV3102)
    | ~ cC64(iV3102)
    | xsd_string('#skF_152') ),
    inference(demodulation,[status(thm),theory(equality)],[c_1726,c_1586,c_1512]) ).

tff(c_1735,plain,
    ~ cC64(iV3102),
    inference(splitLeft,[status(thm)],[c_1734]) ).

tff(c_1776,plain,
    ~ cC216(iV3102),
    inference(resolution,[status(thm)],[c_1773,c_1735]) ).

tff(c_1780,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1726,c_1776]) ).

tff(c_1782,plain,
    cC64(iV3102),
    inference(splitRight,[status(thm)],[c_1734]) ).

tff(c_1725,plain,
    ( ~ cC64(iV3102)
    | ~ cC46(iV3102)
    | xsd_integer('#skF_152') ),
    inference(splitRight,[status(thm)],[c_1585]) ).

tff(c_1787,plain,
    ( ~ cC46(iV3102)
    | xsd_integer('#skF_152') ),
    inference(demodulation,[status(thm),theory(equality)],[c_1782,c_1725]) ).

tff(c_1788,plain,
    ~ cC46(iV3102),
    inference(splitLeft,[status(thm)],[c_1787]) ).

tff(c_1858,plain,
    ! [X_1111] :
      ( cC46(X_1111)
      | ~ cTEST(X_1111) ),
    inference(cnfTransformation,[status(thm)],[f_1446]) ).

tff(c_1861,plain,
    cC46(iV3102),
    inference(resolution,[status(thm)],[c_1022,c_1858]) ).

tff(c_1865,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1788,c_1861]) ).

tff(c_1866,plain,
    xsd_integer('#skF_152'),
    inference(splitRight,[status(thm)],[c_1787]) ).

tff(c_1867,plain,
    cC46(iV3102),
    inference(splitRight,[status(thm)],[c_1787]) ).

tff(c_1781,plain,
    ( ~ cC46(iV3102)
    | xsd_string('#skF_152') ),
    inference(splitRight,[status(thm)],[c_1734]) ).

tff(c_1883,plain,
    xsd_string('#skF_152'),
    inference(demodulation,[status(thm),theory(equality)],[c_1867,c_1781]) ).

tff(c_6,plain,
    ! [X_2] :
      ( ~ xsd_integer(X_2)
      | ~ xsd_string(X_2) ),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_1886,plain,
    ~ xsd_integer('#skF_152'),
    inference(resolution,[status(thm)],[c_1883,c_6]) ).

tff(c_1890,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1866,c_1886]) ).

tff(c_1892,plain,
    xsd_string('#skF_151'),
    inference(splitRight,[status(thm)],[c_1387]) ).

tff(c_1237,plain,
    ( ~ cC44(iV3102)
    | ~ cC216(iV3102)
    | ~ cC64(iV3102)
    | ~ cC46(iV3102)
    | ~ cC28(iV3102)
    | ~ cC30(iV3102)
    | ~ xsd_string('#skF_151')
    | xsd_string('#skF_152') ),
    inference(splitRight,[status(thm)],[c_1079]) ).

tff(c_1909,plain,
    ( ~ cC216(iV3102)
    | ~ cC64(iV3102)
    | ~ cC46(iV3102)
    | ~ cC28(iV3102)
    | ~ cC30(iV3102)
    | xsd_string('#skF_152') ),
    inference(demodulation,[status(thm),theory(equality)],[c_1892,c_1381,c_1237]) ).

tff(c_1910,plain,
    ~ cC30(iV3102),
    inference(splitLeft,[status(thm)],[c_1909]) ).

tff(c_1996,plain,
    ! [X_1185] :
      ( cC46(X_1185)
      | ~ cTEST(X_1185) ),
    inference(cnfTransformation,[status(thm)],[f_1446]) ).

tff(c_2000,plain,
    cC46(iV3102),
    inference(resolution,[status(thm)],[c_1022,c_1996]) ).

tff(c_2006,plain,
    cC30(iV3102),
    inference(resolution,[status(thm)],[c_2000,c_750]) ).

tff(c_2012,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1910,c_2006]) ).

tff(c_2013,plain,
    ( ~ cC28(iV3102)
    | ~ cC46(iV3102)
    | ~ cC64(iV3102)
    | ~ cC216(iV3102)
    | xsd_string('#skF_152') ),
    inference(splitRight,[status(thm)],[c_1909]) ).

tff(c_2034,plain,
    ~ cC216(iV3102),
    inference(splitLeft,[status(thm)],[c_2013]) ).

tff(c_2068,plain,
    ! [X_1224] :
      ( cC216(X_1224)
      | ~ cTEST(X_1224) ),
    inference(cnfTransformation,[status(thm)],[f_1446]) ).

tff(c_2071,plain,
    cC216(iV3102),
    inference(resolution,[status(thm)],[c_1022,c_2068]) ).

tff(c_2075,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2034,c_2071]) ).

tff(c_2077,plain,
    cC216(iV3102),
    inference(splitRight,[status(thm)],[c_2013]) ).

tff(c_2121,plain,
    ! [X_1250] :
      ( cC64(X_1250)
      | ~ cC216(X_1250) ),
    inference(cnfTransformation,[status(thm)],[f_884]) ).

tff(c_2014,plain,
    cC30(iV3102),
    inference(splitRight,[status(thm)],[c_1909]) ).

tff(c_1891,plain,
    ( ~ cC30(iV3102)
    | ~ cC28(iV3102)
    | ~ cC46(iV3102)
    | ~ cC64(iV3102)
    | ~ cC216(iV3102)
    | xsd_integer('#skF_152') ),
    inference(splitRight,[status(thm)],[c_1387]) ).

tff(c_2083,plain,
    ( ~ cC28(iV3102)
    | ~ cC46(iV3102)
    | ~ cC64(iV3102)
    | xsd_integer('#skF_152') ),
    inference(demodulation,[status(thm),theory(equality)],[c_2077,c_2014,c_1891]) ).

tff(c_2084,plain,
    ~ cC64(iV3102),
    inference(splitLeft,[status(thm)],[c_2083]) ).

tff(c_2124,plain,
    ~ cC216(iV3102),
    inference(resolution,[status(thm)],[c_2121,c_2084]) ).

tff(c_2128,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_2077,c_2124]) ).

tff(c_2130,plain,
    cC64(iV3102),
    inference(splitRight,[status(thm)],[c_2083]) ).

tff(c_2076,plain,
    ( ~ cC64(iV3102)
    | ~ cC46(iV3102)
    | ~ cC28(iV3102)
    | xsd_string('#skF_152') ),
    inference(splitRight,[status(thm)],[c_2013]) ).

tff(c_2136,plain,
    ( ~ cC46(iV3102)
    | ~ cC28(iV3102)
    | xsd_string('#skF_152') ),
    inference(demodulation,[status(thm),theory(equality)],[c_2130,c_2076]) ).

tff(c_2137,plain,
    ~ cC28(iV3102),
    inference(splitLeft,[status(thm)],[c_2136]) ).

tff(c_2187,plain,
    ! [X_1284] :
      ( cC28(X_1284)
      | ~ cC30(X_1284) ),
    inference(cnfTransformation,[status(thm)],[f_960]) ).

tff(c_2190,plain,
    cC28(iV3102),
    inference(resolution,[status(thm)],[c_2014,c_2187]) ).

tff(c_2194,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2137,c_2190]) ).

tff(c_2195,plain,
    ( ~ cC46(iV3102)
    | xsd_string('#skF_152') ),
    inference(splitRight,[status(thm)],[c_2136]) ).

tff(c_2200,plain,
    ~ cC46(iV3102),
    inference(splitLeft,[status(thm)],[c_2195]) ).

tff(c_2267,plain,
    ! [X_1318] :
      ( cC46(X_1318)
      | ~ cTEST(X_1318) ),
    inference(cnfTransformation,[status(thm)],[f_1446]) ).

tff(c_2270,plain,
    cC46(iV3102),
    inference(resolution,[status(thm)],[c_1022,c_2267]) ).

tff(c_2274,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2200,c_2270]) ).

tff(c_2275,plain,
    xsd_string('#skF_152'),
    inference(splitRight,[status(thm)],[c_2195]) ).

tff(c_2280,plain,
    ~ xsd_integer('#skF_152'),
    inference(resolution,[status(thm)],[c_2275,c_6]) ).

tff(c_2196,plain,
    cC28(iV3102),
    inference(splitRight,[status(thm)],[c_2136]) ).

tff(c_2276,plain,
    cC46(iV3102),
    inference(splitRight,[status(thm)],[c_2195]) ).

tff(c_2129,plain,
    ( ~ cC46(iV3102)
    | ~ cC28(iV3102)
    | xsd_integer('#skF_152') ),
    inference(splitRight,[status(thm)],[c_2083]) ).

tff(c_2298,plain,
    xsd_integer('#skF_152'),
    inference(demodulation,[status(thm),theory(equality)],[c_2196,c_2276,c_2129]) ).

tff(c_2299,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2280,c_2298]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07  % Problem  : KRS157+1 : TPTP v9.0.0. Released v3.1.0.
% 0.02/0.07  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.06/0.26  % Computer : n003.cluster.edu
% 0.06/0.26  % Model    : x86_64 x86_64
% 0.06/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26  % Memory   : 8042.1875MB
% 0.06/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26  % CPULimit : 300
% 0.06/0.26  % WCLimit  : 300
% 0.06/0.26  % DateTime : Tue Apr  8 03:00:48 EDT 2025
% 0.11/0.26  % CPUTime  : 
% 8.98/3.10  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.41/3.12  
% 9.41/3.12  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------