TSTP Solution File: KRS154+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : KRS154+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n011.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 : Tue Aug 22 10:45:39 EDT 2023

% Result   : Theorem 19.43s 8.96s
% Output   : CNFRefutation 19.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :  274
% Syntax   : Number of formulae    :  445 ( 105 unt; 250 typ;   0 def)
%            Number of atoms       :  582 (   0 equ)
%            Maximal formula atoms :   13 (   2 avg)
%            Number of connectives :  777 ( 390   ~; 357   |;  20   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  285 ( 245   >;  40   *;   0   +;   0  <<)
%            Number of predicates  :  155 ( 154 usr;   1 prp; 0-2 aty)
%            Number of functors    :   96 (  96 usr;   5 con; 0-1 aty)
%            Number of variables   :   35 (;  35   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ ra_Px9 > ra_Px8 > ra_Px7 > ra_Px65 > ra_Px64 > ra_Px63 > ra_Px6 > ra_Px56 > ra_Px53 > ra_Px52 > ra_Px49 > ra_Px48 > ra_Px47 > ra_Px46 > ra_Px45 > ra_Px44 > ra_Px4 > ra_Px39 > ra_Px38 > ra_Px37 > ra_Px36 > ra_Px35 > ra_Px30 > ra_Px3 > ra_Px29 > ra_Px28 > ra_Px25 > ra_Px24 > ra_Px22 > ra_Px21 > ra_Px20 > ra_Px2 > ra_Px16 > ra_Px15 > ra_Px14 > ra_Px13 > ra_Px12 > ra_Px11 > ra_Px1 > rR1 > xsd_string > xsd_integer > cowlThing > cowlNothing > cTEST > cC98xcomp > cC98 > cC96xcomp > cC96 > cC94xcomp > cC94 > cC92xcomp > cC92 > cC90xcomp > cC90 > cC8xcomp > cC88xcomp > cC88 > cC86xcomp > cC86 > cC84xcomp > cC84 > cC82xcomp > cC82 > cC80 > cC8 > cC78xcomp > cC78 > cC76xcomp > cC76 > cC74 > cC72xcomp > cC72 > cC70 > cC68xcomp > cC68 > cC66 > cC64 > cC62 > cC60 > cC6 > cC58 > cC56 > cC54 > cC52 > cC50xcomp > cC50 > cC4xcomp > cC48xcomp > cC48 > cC46xcomp > cC46 > cC44 > cC42 > cC40xcomp > cC40 > cC4 > cC38 > cC36 > cC34xcomp > cC34 > cC32xcomp > cC32 > cC30xcomp > cC30 > cC2xcomp > cC28xcomp > cC28 > cC26 > cC24 > cC22xcomp > cC22 > cC20 > cC2 > cC18xcomp > cC18 > cC16xcomp > cC16 > cC140 > cC14 > cC138xcomp > cC138 > cC136xcomp > cC136 > cC134xcomp > cC134 > cC132xcomp > cC132 > cC130xcomp > cC130 > cC12xcomp > cC128 > cC126 > cC124 > cC122 > cC120 > cC12 > cC118 > cC116 > cC114 > cC112xcomp > cC112 > cC110xcomp > cC110 > cC10xcomp > cC108xcomp > cC108 > cC106 > cC104 > cC102xcomp > cC102 > cC100xcomp > cC100 > cC10 > #nlpp > iV822576 > #skF_53 > #skF_91 > #skF_9 > #skF_36 > #skF_25 > #skF_7 > #skF_5 > #skF_44 > #skF_21 > #skF_16 > #skF_61 > #skF_2 > #skF_4 > #skF_18 > #skF_24 > #skF_66 > #skF_94 > #skF_35 > #skF_19 > #skF_1 > #skF_31 > #skF_75 > #skF_62 > #skF_73 > #skF_79 > #skF_22 > #skF_37 > #skF_72 > #skF_40 > #skF_8 > #skF_69 > #skF_68 > #skF_52 > #skF_64 > #skF_92 > #skF_34 > #skF_58 > #skF_29 > #skF_15 > #skF_32 > #skF_56 > #skF_60 > #skF_28 > #skF_71 > #skF_10 > #skF_41 > #skF_83 > #skF_82 > #skF_38 > #skF_43 > #skF_80 > #skF_57 > #skF_90 > #skF_74 > #skF_84 > #skF_39 > #skF_23 > #skF_59 > #skF_33 > #skF_26 > #skF_13 > #skF_67 > #skF_89 > #skF_78 > #skF_77 > #skF_17 > #skF_3 > #skF_54 > #skF_11 > #skF_93 > #skF_14 > #skF_95 > #skF_48 > #skF_81 > #skF_88 > #skF_27 > #skF_12 > #skF_49 > #skF_87 > #skF_86 > #skF_46 > #skF_42 > #skF_50 > #skF_45 > #skF_55 > #skF_30 > #skF_6 > #skF_65 > #skF_70 > #skF_63 > #skF_20 > #skF_76 > #skF_85 > #skF_51 > #skF_47

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(cC34xcomp,type,
    cC34xcomp: $i > $o ).

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

tff(ra_Px35,type,
    ra_Px35: ( $i * $i ) > $o ).

tff(ra_Px28,type,
    ra_Px28: ( $i * $i ) > $o ).

tff(ra_Px47,type,
    ra_Px47: ( $i * $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('#skF_9',type,
    '#skF_9': $i > $i ).

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

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

tff(ra_Px48,type,
    ra_Px48: ( $i * $i ) > $o ).

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

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

tff(cC82xcomp,type,
    cC82xcomp: $i > $o ).

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

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

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

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

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

tff(cC138xcomp,type,
    cC138xcomp: $i > $o ).

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

tff(cC48xcomp,type,
    cC48xcomp: $i > $o ).

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

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

tff(ra_Px21,type,
    ra_Px21: ( $i * $i ) > $o ).

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

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

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

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

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

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(cC28xcomp,type,
    cC28xcomp: $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('#skF_94',type,
    '#skF_94': $i ).

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

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

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

tff(ra_Px53,type,
    ra_Px53: ( $i * $i ) > $o ).

tff(cC4xcomp,type,
    cC4xcomp: $i > $o ).

tff(cC68xcomp,type,
    cC68xcomp: $i > $o ).

tff(ra_Px64,type,
    ra_Px64: ( $i * $i ) > $o ).

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

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

tff(cC92xcomp,type,
    cC92xcomp: $i > $o ).

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

tff(ra_Px8,type,
    ra_Px8: ( $i * $i ) > $o ).

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

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

tff(ra_Px63,type,
    ra_Px63: ( $i * $i ) > $o ).

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

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

tff(iV822576,type,
    iV822576: $i ).

tff(cC110xcomp,type,
    cC110xcomp: $i > $o ).

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

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

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

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

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

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

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

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

tff(cC136xcomp,type,
    cC136xcomp: $i > $o ).

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

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

tff(ra_Px6,type,
    ra_Px6: ( $i * $i ) > $o ).

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

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

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

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

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

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

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

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

tff(cC50xcomp,type,
    cC50xcomp: $i > $o ).

tff(ra_Px39,type,
    ra_Px39: ( $i * $i ) > $o ).

tff(cTEST,type,
    cTEST: $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_Px15,type,
    ra_Px15: ( $i * $i ) > $o ).

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

tff(cC86xcomp,type,
    cC86xcomp: $i > $o ).

tff(ra_Px11,type,
    ra_Px11: ( $i * $i ) > $o ).

tff(ra_Px24,type,
    ra_Px24: ( $i * $i ) > $o ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(cC30xcomp,type,
    cC30xcomp: $i > $o ).

tff(cC92,type,
    cC92: $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(cC88xcomp,type,
    cC88xcomp: $i > $o ).

tff(ra_Px1,type,
    ra_Px1: ( $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('#skF_74',type,
    '#skF_74': $i > $i ).

tff(ra_Px13,type,
    ra_Px13: ( $i * $i ) > $o ).

tff(cC16xcomp,type,
    cC16xcomp: $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(ra_Px22,type,
    ra_Px22: ( $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(ra_Px56,type,
    ra_Px56: ( $i * $i ) > $o ).

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

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

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

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

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

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

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

tff('#skF_89',type,
    '#skF_89': $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(cC32,type,
    cC32: $i > $o ).

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

tff(cC76xcomp,type,
    cC76xcomp: $i > $o ).

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

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

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

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

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

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

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

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

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

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

tff(ra_Px38,type,
    ra_Px38: ( $i * $i ) > $o ).

tff(cC18xcomp,type,
    cC18xcomp: $i > $o ).

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

tff(ra_Px25,type,
    ra_Px25: ( $i * $i ) > $o ).

tff(ra_Px36,type,
    ra_Px36: ( $i * $i ) > $o ).

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

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

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

tff(cC66,type,
    cC66: $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(cC102xcomp,type,
    cC102xcomp: $i > $o ).

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

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

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

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

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

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

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

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

tff(ra_Px16,type,
    ra_Px16: ( $i * $i ) > $o ).

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

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

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

tff(cC112xcomp,type,
    cC112xcomp: $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(ra_Px3,type,
    ra_Px3: ( $i * $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(cC96xcomp,type,
    cC96xcomp: $i > $o ).

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(cC46xcomp,type,
    cC46xcomp: $i > $o ).

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

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

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

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

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

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

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

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

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

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(cC84xcomp,type,
    cC84xcomp: $i > $o ).

tff(f_1029,axiom,
    cC4(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_149) ).

tff(f_1074,axiom,
    cC10xcomp(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_167) ).

tff(f_667,axiom,
    ! [X] :
      ( cC56(X)
    <=> ( cC4(X)
        & cC10xcomp(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_93) ).

tff(f_1061,axiom,
    cC34(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_162) ).

tff(f_674,axiom,
    ! [X] :
      ( cC58(X)
    <=> ( cC34(X)
        & cC56(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_94) ).

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

tff(f_1072,axiom,
    cowlThing(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_166) ).

tff(f_1117,negated_conjecture,
    ~ ( ! [X] :
          ( cowlThing(X)
          & ~ cowlNothing(X) )
      & ! [X] :
          ( xsd_string(X)
        <=> ~ xsd_integer(X) )
      & cC58(iV822576)
      & cC116(iV822576)
      & cC114(iV822576)
      & cowlThing(iV822576)
      & cC94(iV822576)
      & cC80(iV822576)
      & cC110(iV822576)
      & cC136(iV822576)
      & cC56(iV822576) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).

tff(f_1035,axiom,
    cC76xcomp(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_152) ).

tff(f_1033,axiom,
    cC112xcomp(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_151) ).

tff(f_1037,axiom,
    cC96xcomp(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_153) ).

tff(f_175,axiom,
    ! [X] :
      ( cC114(X)
    <=> ( cC112xcomp(X)
        & cC96xcomp(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).

tff(f_1050,axiom,
    cC78xcomp(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_158) ).

tff(f_832,axiom,
    ! [X] :
      ( cC80(X)
    <=> ( cC78xcomp(X)
        & cC76xcomp(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_117) ).

tff(f_182,axiom,
    ! [X] :
      ( cC116(X)
    <=> ( cC114(X)
        & cC80(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).

tff(f_1025,axiom,
    cC102xcomp(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_147) ).

tff(f_1027,axiom,
    cC108xcomp(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_148) ).

tff(f_135,axiom,
    ! [X] :
      ( cC110(X)
    <=> ( cC102xcomp(X)
        & cC108xcomp(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).

tff(f_1057,axiom,
    cC134xcomp(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_160) ).

tff(f_320,axiom,
    ! [X] :
      ( cC136(X)
    <=> ( cC134xcomp(X)
        & cC116(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_42) ).

tff(f_1059,axiom,
    cC86xcomp(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_161) ).

tff(f_1076,axiom,
    cC92xcomp(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_168) ).

tff(f_961,axiom,
    ! [X] :
      ( cC94(X)
    <=> ( cC86xcomp(X)
        & cC92xcomp(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_136) ).

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

tff(c_724,plain,
    cC4(iV822576),
    inference(cnfTransformation,[status(thm)],[f_1029]) ).

tff(c_760,plain,
    cC10xcomp(iV822576),
    inference(cnfTransformation,[status(thm)],[f_1074]) ).

tff(c_456,plain,
    ! [X_271] :
      ( cC56(X_271)
      | ~ cC10xcomp(X_271)
      | ~ cC4(X_271) ),
    inference(cnfTransformation,[status(thm)],[f_667]) ).

tff(c_750,plain,
    cC34(iV822576),
    inference(cnfTransformation,[status(thm)],[f_1061]) ).

tff(c_3474,plain,
    ! [X_1011] :
      ( cC58(X_1011)
      | ~ cC56(X_1011)
      | ~ cC34(X_1011) ),
    inference(cnfTransformation,[status(thm)],[f_674]) ).

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_758,plain,
    cowlThing(iV822576),
    inference(cnfTransformation,[status(thm)],[f_1072]) ).

tff(c_764,plain,
    ( ~ xsd_string('#skF_94')
    | xsd_integer('#skF_95')
    | ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ cowlThing('#skF_93')
    | cowlNothing('#skF_92') ),
    inference(cnfTransformation,[status(thm)],[f_1117]) ).

tff(c_774,plain,
    ( ~ xsd_string('#skF_94')
    | xsd_integer('#skF_95')
    | ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ cowlThing('#skF_93')
    | cowlNothing('#skF_92') ),
    inference(demodulation,[status(thm),theory(equality)],[c_758,c_764]) ).

tff(c_782,plain,
    ( ~ xsd_string('#skF_94')
    | xsd_integer('#skF_95')
    | ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ cowlThing('#skF_93') ),
    inference(negUnitSimplification,[status(thm)],[c_4,c_774]) ).

tff(c_791,plain,
    ( ~ xsd_string('#skF_94')
    | xsd_integer('#skF_95')
    | ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_782]) ).

tff(c_793,plain,
    ~ cC58(iV822576),
    inference(splitLeft,[status(thm)],[c_791]) ).

tff(c_3483,plain,
    ( ~ cC56(iV822576)
    | ~ cC34(iV822576) ),
    inference(resolution,[status(thm)],[c_3474,c_793]) ).

tff(c_3488,plain,
    ~ cC56(iV822576),
    inference(demodulation,[status(thm),theory(equality)],[c_750,c_3483]) ).

tff(c_3504,plain,
    ( ~ cC10xcomp(iV822576)
    | ~ cC4(iV822576) ),
    inference(resolution,[status(thm)],[c_456,c_3488]) ).

tff(c_3508,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_724,c_760,c_3504]) ).

tff(c_3510,plain,
    cC58(iV822576),
    inference(splitRight,[status(thm)],[c_791]) ).

tff(c_768,plain,
    ( ~ xsd_string('#skF_94')
    | xsd_string('#skF_95')
    | ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ cowlThing('#skF_93')
    | cowlNothing('#skF_92') ),
    inference(cnfTransformation,[status(thm)],[f_1117]) ).

tff(c_776,plain,
    ( ~ xsd_string('#skF_94')
    | xsd_string('#skF_95')
    | ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ cowlThing('#skF_93')
    | cowlNothing('#skF_92') ),
    inference(demodulation,[status(thm),theory(equality)],[c_758,c_768]) ).

tff(c_779,plain,
    ( ~ xsd_string('#skF_94')
    | xsd_string('#skF_95')
    | ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ cowlThing('#skF_93') ),
    inference(negUnitSimplification,[status(thm)],[c_4,c_776]) ).

tff(c_785,plain,
    ( ~ xsd_string('#skF_94')
    | xsd_string('#skF_95')
    | ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_779]) ).

tff(c_792,plain,
    ~ cC58(iV822576),
    inference(splitLeft,[status(thm)],[c_785]) ).

tff(c_3515,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_3510,c_792]) ).

tff(c_3517,plain,
    cC58(iV822576),
    inference(splitRight,[status(thm)],[c_785]) ).

tff(c_3519,plain,
    ( ~ xsd_string('#skF_94')
    | xsd_integer('#skF_95')
    | ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576) ),
    inference(demodulation,[status(thm),theory(equality)],[c_3517,c_791]) ).

tff(c_3520,plain,
    ~ cC116(iV822576),
    inference(splitLeft,[status(thm)],[c_3519]) ).

tff(c_730,plain,
    cC76xcomp(iV822576),
    inference(cnfTransformation,[status(thm)],[f_1035]) ).

tff(c_728,plain,
    cC112xcomp(iV822576),
    inference(cnfTransformation,[status(thm)],[f_1033]) ).

tff(c_732,plain,
    cC96xcomp(iV822576),
    inference(cnfTransformation,[status(thm)],[f_1037]) ).

tff(c_6690,plain,
    ! [X_1655] :
      ( cC114(X_1655)
      | ~ cC96xcomp(X_1655)
      | ~ cC112xcomp(X_1655) ),
    inference(cnfTransformation,[status(thm)],[f_175]) ).

tff(c_6699,plain,
    ( cC114(iV822576)
    | ~ cC112xcomp(iV822576) ),
    inference(resolution,[status(thm)],[c_732,c_6690]) ).

tff(c_6704,plain,
    cC114(iV822576),
    inference(demodulation,[status(thm),theory(equality)],[c_728,c_6699]) ).

tff(c_742,plain,
    cC78xcomp(iV822576),
    inference(cnfTransformation,[status(thm)],[f_1050]) ).

tff(c_7731,plain,
    ! [X_1761] :
      ( cC80(X_1761)
      | ~ cC76xcomp(X_1761)
      | ~ cC78xcomp(X_1761) ),
    inference(cnfTransformation,[status(thm)],[f_832]) ).

tff(c_106,plain,
    ! [X_65] :
      ( cC116(X_65)
      | ~ cC80(X_65)
      | ~ cC114(X_65) ),
    inference(cnfTransformation,[status(thm)],[f_182]) ).

tff(c_11495,plain,
    ! [X_2125] :
      ( cC116(X_2125)
      | ~ cC114(X_2125)
      | ~ cC76xcomp(X_2125)
      | ~ cC78xcomp(X_2125) ),
    inference(resolution,[status(thm)],[c_7731,c_106]) ).

tff(c_11504,plain,
    ( cC116(iV822576)
    | ~ cC114(iV822576)
    | ~ cC76xcomp(iV822576) ),
    inference(resolution,[status(thm)],[c_742,c_11495]) ).

tff(c_11509,plain,
    cC116(iV822576),
    inference(demodulation,[status(thm),theory(equality)],[c_730,c_6704,c_11504]) ).

tff(c_11511,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_3520,c_11509]) ).

tff(c_11513,plain,
    cC116(iV822576),
    inference(splitRight,[status(thm)],[c_3519]) ).

tff(c_766,plain,
    ( ~ xsd_integer('#skF_94')
    | xsd_integer('#skF_95')
    | ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ cowlThing('#skF_93')
    | cowlNothing('#skF_92') ),
    inference(cnfTransformation,[status(thm)],[f_1117]) ).

tff(c_778,plain,
    ( ~ xsd_integer('#skF_94')
    | xsd_integer('#skF_95')
    | ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ cowlThing('#skF_93')
    | cowlNothing('#skF_92') ),
    inference(demodulation,[status(thm),theory(equality)],[c_758,c_766]) ).

tff(c_780,plain,
    ( ~ xsd_integer('#skF_94')
    | xsd_integer('#skF_95')
    | ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ cowlThing('#skF_93') ),
    inference(negUnitSimplification,[status(thm)],[c_4,c_778]) ).

tff(c_787,plain,
    ( ~ xsd_integer('#skF_94')
    | xsd_integer('#skF_95')
    | ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_780]) ).

tff(c_11515,plain,
    ( ~ xsd_integer('#skF_94')
    | xsd_integer('#skF_95')
    | ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576) ),
    inference(demodulation,[status(thm),theory(equality)],[c_3517,c_787]) ).

tff(c_11516,plain,
    ~ cC116(iV822576),
    inference(splitLeft,[status(thm)],[c_11515]) ).

tff(c_11520,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_11513,c_11516]) ).

tff(c_11522,plain,
    cC116(iV822576),
    inference(splitRight,[status(thm)],[c_11515]) ).

tff(c_20003,plain,
    ! [X_4852] :
      ( cC80(X_4852)
      | ~ cC116(X_4852) ),
    inference(cnfTransformation,[status(thm)],[f_182]) ).

tff(c_720,plain,
    cC102xcomp(iV822576),
    inference(cnfTransformation,[status(thm)],[f_1025]) ).

tff(c_722,plain,
    cC108xcomp(iV822576),
    inference(cnfTransformation,[status(thm)],[f_1027]) ).

tff(c_19871,plain,
    ! [X_4793] :
      ( cC110(X_4793)
      | ~ cC108xcomp(X_4793)
      | ~ cC102xcomp(X_4793) ),
    inference(cnfTransformation,[status(thm)],[f_135]) ).

tff(c_746,plain,
    cC134xcomp(iV822576),
    inference(cnfTransformation,[status(thm)],[f_1057]) ).

tff(c_18624,plain,
    ! [X_4421] :
      ( cC136(X_4421)
      | ~ cC116(X_4421)
      | ~ cC134xcomp(X_4421) ),
    inference(cnfTransformation,[status(thm)],[f_320]) ).

tff(c_748,plain,
    cC86xcomp(iV822576),
    inference(cnfTransformation,[status(thm)],[f_1059]) ).

tff(c_762,plain,
    cC92xcomp(iV822576),
    inference(cnfTransformation,[status(thm)],[f_1076]) ).

tff(c_17364,plain,
    ! [X_4026] :
      ( cC94(X_4026)
      | ~ cC92xcomp(X_4026)
      | ~ cC86xcomp(X_4026) ),
    inference(cnfTransformation,[status(thm)],[f_961]) ).

tff(c_14212,plain,
    ! [X_3315] :
      ( cC80(X_3315)
      | ~ cC116(X_3315) ),
    inference(cnfTransformation,[status(thm)],[f_182]) ).

tff(c_14109,plain,
    ! [X_3271] :
      ( cC94(X_3271)
      | ~ cC92xcomp(X_3271)
      | ~ cC86xcomp(X_3271) ),
    inference(cnfTransformation,[status(thm)],[f_961]) ).

tff(c_12949,plain,
    ! [X_2887] :
      ( cC110(X_2887)
      | ~ cC108xcomp(X_2887)
      | ~ cC102xcomp(X_2887) ),
    inference(cnfTransformation,[status(thm)],[f_135]) ).

tff(c_12492,plain,
    ! [X_2607] :
      ( cC136(X_2607)
      | ~ cC116(X_2607)
      | ~ cC134xcomp(X_2607) ),
    inference(cnfTransformation,[status(thm)],[f_320]) ).

tff(c_770,plain,
    ( ~ xsd_integer('#skF_94')
    | xsd_string('#skF_95')
    | ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ cowlThing('#skF_93')
    | cowlNothing('#skF_92') ),
    inference(cnfTransformation,[status(thm)],[f_1117]) ).

tff(c_772,plain,
    ( ~ xsd_integer('#skF_94')
    | xsd_string('#skF_95')
    | ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ cowlThing('#skF_93')
    | cowlNothing('#skF_92') ),
    inference(demodulation,[status(thm),theory(equality)],[c_758,c_770]) ).

tff(c_781,plain,
    ( ~ xsd_integer('#skF_94')
    | xsd_string('#skF_95')
    | ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ cowlThing('#skF_93') ),
    inference(negUnitSimplification,[status(thm)],[c_4,c_772]) ).

tff(c_789,plain,
    ( ~ xsd_integer('#skF_94')
    | xsd_string('#skF_95')
    | ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_781]) ).

tff(c_11525,plain,
    ( ~ xsd_integer('#skF_94')
    | xsd_string('#skF_95')
    | ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576) ),
    inference(demodulation,[status(thm),theory(equality)],[c_3517,c_789]) ).

tff(c_11526,plain,
    ~ cC116(iV822576),
    inference(splitLeft,[status(thm)],[c_11525]) ).

tff(c_11530,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_11522,c_11526]) ).

tff(c_11531,plain,
    ( ~ cC114(iV822576)
    | ~ cC94(iV822576)
    | ~ cC80(iV822576)
    | ~ cC110(iV822576)
    | ~ cC136(iV822576)
    | ~ cC56(iV822576)
    | ~ xsd_integer('#skF_94')
    | xsd_string('#skF_95') ),
    inference(splitRight,[status(thm)],[c_11525]) ).

tff(c_11548,plain,
    ~ xsd_integer('#skF_94'),
    inference(splitLeft,[status(thm)],[c_11531]) ).

tff(c_11611,plain,
    ! [X_2189] :
      ( xsd_string(X_2189)
      | xsd_integer(X_2189) ),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_3516,plain,
    ( ~ cC116(iV822576)
    | ~ cC114(iV822576)
    | ~ cC94(iV822576)
    | ~ cC80(iV822576)
    | ~ cC110(iV822576)
    | ~ cC136(iV822576)
    | ~ cC56(iV822576)
    | ~ xsd_string('#skF_94')
    | xsd_string('#skF_95') ),
    inference(splitRight,[status(thm)],[c_785]) ).

tff(c_11538,plain,
    ( ~ cC114(iV822576)
    | ~ cC94(iV822576)
    | ~ cC80(iV822576)
    | ~ cC110(iV822576)
    | ~ cC136(iV822576)
    | ~ cC56(iV822576)
    | ~ xsd_string('#skF_94')
    | xsd_string('#skF_95') ),
    inference(demodulation,[status(thm),theory(equality)],[c_11522,c_3516]) ).

tff(c_11539,plain,
    ~ xsd_string('#skF_94'),
    inference(splitLeft,[status(thm)],[c_11538]) ).

tff(c_11617,plain,
    xsd_integer('#skF_94'),
    inference(resolution,[status(thm)],[c_11611,c_11539]) ).

tff(c_11622,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_11548,c_11617]) ).

tff(c_11624,plain,
    xsd_integer('#skF_94'),
    inference(splitRight,[status(thm)],[c_11531]) ).

tff(c_11521,plain,
    ( ~ cC114(iV822576)
    | ~ cC94(iV822576)
    | ~ cC80(iV822576)
    | ~ cC110(iV822576)
    | ~ cC136(iV822576)
    | ~ cC56(iV822576)
    | ~ xsd_integer('#skF_94')
    | xsd_integer('#skF_95') ),
    inference(splitRight,[status(thm)],[c_11515]) ).

tff(c_11648,plain,
    ( ~ cC114(iV822576)
    | ~ cC94(iV822576)
    | ~ cC80(iV822576)
    | ~ cC110(iV822576)
    | ~ cC136(iV822576)
    | ~ cC56(iV822576)
    | xsd_integer('#skF_95') ),
    inference(demodulation,[status(thm),theory(equality)],[c_11624,c_11521]) ).

tff(c_11649,plain,
    ~ cC56(iV822576),
    inference(splitLeft,[status(thm)],[c_11648]) ).

tff(c_11684,plain,
    ! [X_2233] :
      ( cC56(X_2233)
      | ~ cC58(X_2233) ),
    inference(cnfTransformation,[status(thm)],[f_674]) ).

tff(c_11687,plain,
    cC56(iV822576),
    inference(resolution,[status(thm)],[c_3517,c_11684]) ).

tff(c_11691,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_11649,c_11687]) ).

tff(c_11693,plain,
    cC56(iV822576),
    inference(splitRight,[status(thm)],[c_11648]) ).

tff(c_11623,plain,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cC114(iV822576)
    | xsd_string('#skF_95') ),
    inference(splitRight,[status(thm)],[c_11531]) ).

tff(c_11701,plain,
    ( ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cC114(iV822576)
    | xsd_string('#skF_95') ),
    inference(demodulation,[status(thm),theory(equality)],[c_11693,c_11623]) ).

tff(c_11702,plain,
    ~ cC114(iV822576),
    inference(splitLeft,[status(thm)],[c_11701]) ).

tff(c_11778,plain,
    ! [X_2286] :
      ( cC114(X_2286)
      | ~ cC116(X_2286) ),
    inference(cnfTransformation,[status(thm)],[f_182]) ).

tff(c_11781,plain,
    cC114(iV822576),
    inference(resolution,[status(thm)],[c_11522,c_11778]) ).

tff(c_11785,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_11702,c_11781]) ).

tff(c_11787,plain,
    cC114(iV822576),
    inference(splitRight,[status(thm)],[c_11701]) ).

tff(c_11692,plain,
    ( ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cC114(iV822576)
    | xsd_integer('#skF_95') ),
    inference(splitRight,[status(thm)],[c_11648]) ).

tff(c_11788,plain,
    ~ cC114(iV822576),
    inference(splitLeft,[status(thm)],[c_11692]) ).

tff(c_11790,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_11787,c_11788]) ).

tff(c_11791,plain,
    ( ~ cC94(iV822576)
    | ~ cC80(iV822576)
    | ~ cC110(iV822576)
    | ~ cC136(iV822576)
    | xsd_integer('#skF_95') ),
    inference(splitRight,[status(thm)],[c_11692]) ).

tff(c_11799,plain,
    ~ cC136(iV822576),
    inference(splitLeft,[status(thm)],[c_11791]) ).

tff(c_12495,plain,
    ( ~ cC116(iV822576)
    | ~ cC134xcomp(iV822576) ),
    inference(resolution,[status(thm)],[c_12492,c_11799]) ).

tff(c_12505,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_746,c_11522,c_12495]) ).

tff(c_12507,plain,
    cC136(iV822576),
    inference(splitRight,[status(thm)],[c_11791]) ).

tff(c_11786,plain,
    ( ~ cC94(iV822576)
    | ~ cC80(iV822576)
    | ~ cC110(iV822576)
    | ~ cC136(iV822576)
    | xsd_string('#skF_95') ),
    inference(splitRight,[status(thm)],[c_11701]) ).

tff(c_12521,plain,
    ( ~ cC94(iV822576)
    | ~ cC80(iV822576)
    | ~ cC110(iV822576)
    | xsd_string('#skF_95') ),
    inference(demodulation,[status(thm),theory(equality)],[c_12507,c_11786]) ).

tff(c_12522,plain,
    ~ cC110(iV822576),
    inference(splitLeft,[status(thm)],[c_12521]) ).

tff(c_12958,plain,
    ( ~ cC108xcomp(iV822576)
    | ~ cC102xcomp(iV822576) ),
    inference(resolution,[status(thm)],[c_12949,c_12522]) ).

tff(c_12964,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_720,c_722,c_12958]) ).

tff(c_12966,plain,
    cC110(iV822576),
    inference(splitRight,[status(thm)],[c_12521]) ).

tff(c_12506,plain,
    ( ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | xsd_integer('#skF_95') ),
    inference(splitRight,[status(thm)],[c_11791]) ).

tff(c_12976,plain,
    ( ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | xsd_integer('#skF_95') ),
    inference(demodulation,[status(thm),theory(equality)],[c_12966,c_12506]) ).

tff(c_12977,plain,
    ~ cC94(iV822576),
    inference(splitLeft,[status(thm)],[c_12976]) ).

tff(c_14118,plain,
    ( ~ cC92xcomp(iV822576)
    | ~ cC86xcomp(iV822576) ),
    inference(resolution,[status(thm)],[c_14109,c_12977]) ).

tff(c_14124,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_748,c_762,c_14118]) ).

tff(c_14126,plain,
    cC94(iV822576),
    inference(splitRight,[status(thm)],[c_12976]) ).

tff(c_12965,plain,
    ( ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | xsd_string('#skF_95') ),
    inference(splitRight,[status(thm)],[c_12521]) ).

tff(c_14130,plain,
    ( ~ cC80(iV822576)
    | xsd_string('#skF_95') ),
    inference(demodulation,[status(thm),theory(equality)],[c_14126,c_12965]) ).

tff(c_14131,plain,
    ~ cC80(iV822576),
    inference(splitLeft,[status(thm)],[c_14130]) ).

tff(c_14221,plain,
    ~ cC116(iV822576),
    inference(resolution,[status(thm)],[c_14212,c_14131]) ).

tff(c_14227,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_11522,c_14221]) ).

tff(c_14228,plain,
    xsd_string('#skF_95'),
    inference(splitRight,[status(thm)],[c_14130]) ).

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

tff(c_14233,plain,
    ~ xsd_integer('#skF_95'),
    inference(resolution,[status(thm)],[c_14228,c_6]) ).

tff(c_14229,plain,
    cC80(iV822576),
    inference(splitRight,[status(thm)],[c_14130]) ).

tff(c_14125,plain,
    ( ~ cC80(iV822576)
    | xsd_integer('#skF_95') ),
    inference(splitRight,[status(thm)],[c_12976]) ).

tff(c_14237,plain,
    xsd_integer('#skF_95'),
    inference(demodulation,[status(thm),theory(equality)],[c_14229,c_14125]) ).

tff(c_14238,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_14233,c_14237]) ).

tff(c_14240,plain,
    xsd_string('#skF_94'),
    inference(splitRight,[status(thm)],[c_11538]) ).

tff(c_11512,plain,
    ( ~ cC114(iV822576)
    | ~ cC94(iV822576)
    | ~ cC80(iV822576)
    | ~ cC110(iV822576)
    | ~ cC136(iV822576)
    | ~ cC56(iV822576)
    | ~ xsd_string('#skF_94')
    | xsd_integer('#skF_95') ),
    inference(splitRight,[status(thm)],[c_3519]) ).

tff(c_14259,plain,
    ( ~ cC114(iV822576)
    | ~ cC94(iV822576)
    | ~ cC80(iV822576)
    | ~ cC110(iV822576)
    | ~ cC136(iV822576)
    | ~ cC56(iV822576)
    | xsd_integer('#skF_95') ),
    inference(demodulation,[status(thm),theory(equality)],[c_14240,c_11512]) ).

tff(c_14260,plain,
    ~ cC56(iV822576),
    inference(splitLeft,[status(thm)],[c_14259]) ).

tff(c_14308,plain,
    ! [X_3368] :
      ( cC56(X_3368)
      | ~ cC58(X_3368) ),
    inference(cnfTransformation,[status(thm)],[f_674]) ).

tff(c_14311,plain,
    cC56(iV822576),
    inference(resolution,[status(thm)],[c_3517,c_14308]) ).

tff(c_14315,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_14260,c_14311]) ).

tff(c_14317,plain,
    cC56(iV822576),
    inference(splitRight,[status(thm)],[c_14259]) ).

tff(c_14239,plain,
    ( ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cC114(iV822576)
    | xsd_string('#skF_95') ),
    inference(splitRight,[status(thm)],[c_11538]) ).

tff(c_14338,plain,
    ( ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cC114(iV822576)
    | xsd_string('#skF_95') ),
    inference(demodulation,[status(thm),theory(equality)],[c_14317,c_14239]) ).

tff(c_14339,plain,
    ~ cC114(iV822576),
    inference(splitLeft,[status(thm)],[c_14338]) ).

tff(c_14431,plain,
    ! [X_3437] :
      ( cC114(X_3437)
      | ~ cC116(X_3437) ),
    inference(cnfTransformation,[status(thm)],[f_182]) ).

tff(c_14434,plain,
    cC114(iV822576),
    inference(resolution,[status(thm)],[c_11522,c_14431]) ).

tff(c_14438,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_14339,c_14434]) ).

tff(c_14440,plain,
    cC114(iV822576),
    inference(splitRight,[status(thm)],[c_14338]) ).

tff(c_14316,plain,
    ( ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cC114(iV822576)
    | xsd_integer('#skF_95') ),
    inference(splitRight,[status(thm)],[c_14259]) ).

tff(c_14448,plain,
    ( ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | xsd_integer('#skF_95') ),
    inference(demodulation,[status(thm),theory(equality)],[c_14440,c_14316]) ).

tff(c_14449,plain,
    ~ cC94(iV822576),
    inference(splitLeft,[status(thm)],[c_14448]) ).

tff(c_17373,plain,
    ( ~ cC92xcomp(iV822576)
    | ~ cC86xcomp(iV822576) ),
    inference(resolution,[status(thm)],[c_17364,c_14449]) ).

tff(c_17379,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_748,c_762,c_17373]) ).

tff(c_17381,plain,
    cC94(iV822576),
    inference(splitRight,[status(thm)],[c_14448]) ).

tff(c_14439,plain,
    ( ~ cC94(iV822576)
    | ~ cC80(iV822576)
    | ~ cC110(iV822576)
    | ~ cC136(iV822576)
    | xsd_string('#skF_95') ),
    inference(splitRight,[status(thm)],[c_14338]) ).

tff(c_17396,plain,
    ( ~ cC80(iV822576)
    | ~ cC110(iV822576)
    | ~ cC136(iV822576)
    | xsd_string('#skF_95') ),
    inference(demodulation,[status(thm),theory(equality)],[c_17381,c_14439]) ).

tff(c_17397,plain,
    ~ cC136(iV822576),
    inference(splitLeft,[status(thm)],[c_17396]) ).

tff(c_18630,plain,
    ( ~ cC116(iV822576)
    | ~ cC134xcomp(iV822576) ),
    inference(resolution,[status(thm)],[c_18624,c_17397]) ).

tff(c_18641,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_746,c_11522,c_18630]) ).

tff(c_18643,plain,
    cC136(iV822576),
    inference(splitRight,[status(thm)],[c_17396]) ).

tff(c_17380,plain,
    ( ~ cC80(iV822576)
    | ~ cC110(iV822576)
    | ~ cC136(iV822576)
    | xsd_integer('#skF_95') ),
    inference(splitRight,[status(thm)],[c_14448]) ).

tff(c_18657,plain,
    ( ~ cC80(iV822576)
    | ~ cC110(iV822576)
    | xsd_integer('#skF_95') ),
    inference(demodulation,[status(thm),theory(equality)],[c_18643,c_17380]) ).

tff(c_18658,plain,
    ~ cC110(iV822576),
    inference(splitLeft,[status(thm)],[c_18657]) ).

tff(c_19880,plain,
    ( ~ cC108xcomp(iV822576)
    | ~ cC102xcomp(iV822576) ),
    inference(resolution,[status(thm)],[c_19871,c_18658]) ).

tff(c_19886,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_720,c_722,c_19880]) ).

tff(c_19888,plain,
    cC110(iV822576),
    inference(splitRight,[status(thm)],[c_18657]) ).

tff(c_18642,plain,
    ( ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | xsd_string('#skF_95') ),
    inference(splitRight,[status(thm)],[c_17396]) ).

tff(c_19893,plain,
    ( ~ cC80(iV822576)
    | xsd_string('#skF_95') ),
    inference(demodulation,[status(thm),theory(equality)],[c_19888,c_18642]) ).

tff(c_19894,plain,
    ~ cC80(iV822576),
    inference(splitLeft,[status(thm)],[c_19893]) ).

tff(c_20012,plain,
    ~ cC116(iV822576),
    inference(resolution,[status(thm)],[c_20003,c_19894]) ).

tff(c_20018,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_11522,c_20012]) ).

tff(c_20020,plain,
    cC80(iV822576),
    inference(splitRight,[status(thm)],[c_19893]) ).

tff(c_19887,plain,
    ( ~ cC80(iV822576)
    | xsd_integer('#skF_95') ),
    inference(splitRight,[status(thm)],[c_18657]) ).

tff(c_20021,plain,
    ~ cC80(iV822576),
    inference(splitLeft,[status(thm)],[c_19887]) ).

tff(c_20023,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_20020,c_20021]) ).

tff(c_20024,plain,
    xsd_integer('#skF_95'),
    inference(splitRight,[status(thm)],[c_19887]) ).

tff(c_20019,plain,
    xsd_string('#skF_95'),
    inference(splitRight,[status(thm)],[c_19893]) ).

tff(c_20050,plain,
    ! [X_4866] :
      ( ~ xsd_integer(X_4866)
      | ~ xsd_string(X_4866) ),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_20053,plain,
    ~ xsd_integer('#skF_95'),
    inference(resolution,[status(thm)],[c_20019,c_20050]) ).

tff(c_20060,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_20024,c_20053]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : KRS154+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.15  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.36  % Computer : n011.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Aug  3 20:09:36 EDT 2023
% 0.14/0.37  % CPUTime  : 
% 19.43/8.96  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.43/8.99  
% 19.43/8.99  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 19.67/9.04  
% 19.67/9.04  Inference rules
% 19.67/9.04  ----------------------
% 19.67/9.04  #Ref     : 0
% 19.67/9.04  #Sup     : 3697
% 19.67/9.04  #Fact    : 0
% 19.67/9.04  #Define  : 0
% 19.67/9.04  #Split   : 95
% 19.67/9.04  #Chain   : 0
% 19.67/9.04  #Close   : 0
% 19.67/9.04  
% 19.67/9.04  Ordering : KBO
% 19.67/9.04  
% 19.67/9.04  Simplification rules
% 19.67/9.04  ----------------------
% 19.67/9.04  #Subsume      : 328
% 19.67/9.04  #Demod        : 247
% 19.67/9.04  #Tautology    : 1274
% 19.67/9.04  #SimpNegUnit  : 25
% 19.67/9.04  #BackRed      : 0
% 19.67/9.04  
% 19.67/9.04  #Partial instantiations: 0
% 19.67/9.04  #Strategies tried      : 1
% 19.67/9.04  
% 19.67/9.04  Timing (in seconds)
% 19.67/9.04  ----------------------
% 19.67/9.04  Preprocessing        : 0.86
% 19.67/9.04  Parsing              : 0.43
% 19.67/9.04  CNF conversion       : 0.10
% 19.67/9.04  Main loop            : 7.06
% 19.67/9.04  Inferencing          : 2.64
% 19.67/9.04  Reduction            : 2.05
% 19.67/9.04  Demodulation         : 1.12
% 19.67/9.05  BG Simplification    : 0.11
% 19.67/9.05  Subsumption          : 1.53
% 19.67/9.05  Abstraction          : 0.09
% 19.67/9.05  MUC search           : 0.00
% 19.67/9.05  Cooper               : 0.00
% 19.67/9.05  Total                : 8.01
% 19.67/9.05  Index Insertion      : 0.00
% 19.67/9.05  Index Deletion       : 0.00
% 19.67/9.05  Index Matching       : 0.00
% 19.67/9.05  BG Taut test         : 0.00
%------------------------------------------------------------------------------