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Beagle---0.9.52.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.52
% Problem  : KRS155+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/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 : n008.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 07:07:48 PM UTC 2025

% Result   : Theorem 33.95s 21.00s
% Output   : CNFRefutation 34.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :   33
% Syntax   : Number of formulae    :  244 ( 126 unt;   0 typ;   0 def)
%            Number of atoms       :  926 (   0 equ)
%            Maximal formula atoms :   19 (   3 avg)
%            Number of connectives : 1340 ( 658   ~; 638   |;  30   &)
%                                         (  14 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   5 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  :  103 ( 102 usr;   1 prp; 0-2 aty)
%            Number of functors    :   93 (  93 usr;  14 con; 0-1 aty)
%            Number of variables   :   65 (  56   !;   9   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ ra_Px9 > ra_Px8 > ra_Px7 > ra_Px6 > ra_Px5 > ra_Px34 > ra_Px33 > ra_Px32 > ra_Px31 > ra_Px30 > ra_Px3 > ra_Px29 > ra_Px28 > ra_Px25 > ra_Px23 > ra_Px20 > ra_Px2 > ra_Px18 > ra_Px17 > ra_Px14 > ra_Px13 > ra_Px12 > ra_Px10 > ra_Px1 > rR1 > xsd_string > xsd_integer > cowlThing > cowlNothing > cTOP > cTEST > cC94xcomp > cC94 > cC92xcomp > cC92 > cC90 > cC88 > cC86 > cC84xcomp > cC84 > cC82xcomp > cC82 > cC80 > cC8 > cC78xcomp > cC78 > cC76 > cC74xcomp > cC74 > cC72xcomp > cC72 > cC70 > cC6xcomp > cC68 > cC66 > cC64 > cC62xcomp > cC62 > cC60 > cC6 > cC58 > cC56 > cC54xcomp > cC54 > cC52xcomp > cC52 > cC50xcomp > cC50 > cC48xcomp > cC48 > cC46 > cC44xcomp > cC44 > cC42xcomp > cC42 > cC40 > cC4 > cC38 > cC36xcomp > cC36 > cC34xcomp > cC34 > cC32xcomp > cC32 > cC30 > cC2xcomp > cC28xcomp > cC28 > cC26xcomp > cC26 > cC24 > cC22 > cC20xcomp > cC20 > cC2 > cC18 > cC16xcomp > cC16 > cC14xcomp > cC14 > cC12 > cC10 > #nlpp > iV8476 > iV8475 > iV8474 > iV8473 > iV8472 > iV8471 > iV8470 > iV8469 > iV8468 > iV8467 > #skF_53 > #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_35 > #skF_19 > #skF_1 > #skF_31 > #skF_75 > #skF_62 > #skF_73 > #skF_79 > #skF_22 > #skF_37 > #skF_80 > #skF_72 > #skF_40 > #skF_8 > #skF_69 > #skF_68 > #skF_52 > #skF_64 > #skF_34 > #skF_58 > #skF_29 > #skF_15 > #skF_32 > #skF_81 > #skF_56 > #skF_60 > #skF_28 > #skF_71 > #skF_10 > #skF_41 > #skF_38 > #skF_43 > #skF_82 > #skF_57 > #skF_74 > #skF_39 > #skF_23 > #skF_59 > #skF_33 > #skF_26 > #skF_13 > #skF_67 > #skF_78 > #skF_77 > #skF_17 > #skF_3 > #skF_54 > #skF_11 > #skF_14 > #skF_48 > #skF_27 > #skF_83 > #skF_12 > #skF_49 > #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_51 > #skF_47

%Foreground sorts:

%Background operators:

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

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

tff(cC20xcomp,type,
    cC20xcomp: $i > $o ).

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

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

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

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

tff(cTOP,type,
    cTOP: $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_Px17,type,
    ra_Px17: ( $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(ra_Px5,type,
    ra_Px5: ( $i * $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('#skF_16',type,
    '#skF_16': $i > $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(iV8476,type,
    iV8476: $i ).

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

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

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(cC74xcomp,type,
    cC74xcomp: $i > $o ).

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

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

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

tff(cC50xcomp,type,
    cC50xcomp: $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(iV8474,type,
    iV8474: $i ).

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

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

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

tff(iV8468,type,
    iV8468: $i ).

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_81',type,
    '#skF_81': $i ).

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

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

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

tff(cC6,type,
    cC6: $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_Px23,type,
    ra_Px23: ( $i * $i ) > $o ).

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

tff(cC6xcomp,type,
    cC6xcomp: $i > $o ).

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

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

tff(cC36xcomp,type,
    cC36xcomp: $i > $o ).

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

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

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

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

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

tff(iV8469,type,
    iV8469: $i ).

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

tff(ra_Px33,type,
    ra_Px33: ( $i * $i ) > $o ).

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

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

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

tff(iV8471,type,
    iV8471: $i ).

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

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

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

tff(cC80,type,
    cC80: $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(cC14xcomp,type,
    cC14xcomp: $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(rR1,type,
    rR1: ( $i * $i ) > $o ).

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

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

tff(iV8473,type,
    iV8473: $i ).

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

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

tff(iV8470,type,
    iV8470: $i ).

tff(iV8467,type,
    iV8467: $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(cC50,type,
    cC50: $i > $o ).

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_11',type,
    '#skF_11': $i > $i ).

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

tff(cC44xcomp,type,
    cC44xcomp: $i > $o ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(iV8475,type,
    iV8475: $i ).

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

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

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

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

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

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

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

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

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

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(cC52xcomp,type,
    cC52xcomp: $i > $o ).

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

tff(cowlNothing,type,
    cowlNothing: $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_63',type,
    '#skF_63': $i > $i ).

tff(iV8472,type,
    iV8472: $i ).

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

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

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

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

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

tff(f_750,axiom,
    cC78xcomp(iV8471),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_118) ).

tff(f_752,axiom,
    cC2xcomp(iV8471),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_119) ).

tff(f_598,axiom,
    ! [X] :
      ( cC80(X)
    <=> ( cC78xcomp(X)
        & cC2xcomp(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_80) ).

tff(f_761,axiom,
    cC2xcomp(iV8472),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_122) ).

tff(f_462,axiom,
    ! [X] :
      ( cC60(X)
    <=> ( cC2xcomp(X)
        & cC58(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_61) ).

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

tff(f_723,axiom,
    cowlThing(iV8467),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_102) ).

tff(f_754,axiom,
    cowlThing(iV8471),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_120) ).

tff(f_763,axiom,
    cowlThing(iV8472),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_123) ).

tff(f_844,negated_conjecture,
    ~ ( ! [X] :
          ( cowlThing(X)
          & ~ cowlNothing(X) )
      & ! [X] :
          ( xsd_string(X)
        <=> ~ xsd_integer(X) )
      & cC20(iV8467)
      & cC4(iV8467)
      & cC8(iV8467)
      & cC82(iV8467)
      & cC62(iV8467)
      & cC14(iV8467)
      & cC34(iV8467)
      & cC10(iV8467)
      & cowlThing(iV8467)
      & cC48(iV8467)
      & cowlThing(iV8471)
      & cC80(iV8471)
      & cC58(iV8472)
      & cC60(iV8472)
      & cowlThing(iV8472) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).

tff(f_724,axiom,
    rR1(iV8467,iV8471),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_103) ).

tff(f_124,axiom,
    ! [X] :
      ( cC20(X)
    <=> ? [Y] :
          ( rR1(X,Y)
          & cC2xcomp(Y) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).

tff(f_280,axiom,
    ! [X] :
      ( cC4(X)
    <=> ? [Y] :
          ( rR1(X,Y)
          & cC2xcomp(Y) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_35) ).

tff(f_737,axiom,
    cC6xcomp(iV8469),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_113) ).

tff(f_726,axiom,
    rR1(iV8467,iV8469),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_105) ).

tff(f_591,axiom,
    ! [X] :
      ( cC8(X)
    <=> ? [Y] :
          ( rR1(X,Y)
          & cC6xcomp(Y) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_79) ).

tff(f_613,axiom,
    ! [X] :
      ( cC82(X)
    <=> ? [Y] :
          ( rR1(X,Y)
          & cC80(Y) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_82) ).

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

tff(f_783,axiom,
    cC2(iV8476),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_132) ).

tff(f_764,axiom,
    rR1(iV8472,iV8476),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_124) ).

tff(f_434,axiom,
    ! [X] :
      ( cC58(X)
    <=> ? [Y] :
          ( rR1(X,Y)
          & cC2(Y) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_57) ).

tff(f_731,axiom,
    rR1(iV8467,iV8472),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_110) ).

tff(f_470,axiom,
    ! [X] :
      ( cC62(X)
    <=> ? [Y] :
          ( rR1(X,Y)
          & cC60(Y) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_62) ).

tff(f_746,axiom,
    cTOP(iV8470),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_116) ).

tff(f_725,axiom,
    rR1(iV8467,iV8470),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_104) ).

tff(f_69,axiom,
    ! [X] :
      ( cC14(X)
    <=> ? [Y] :
          ( rR1(X,Y)
          & cTOP(Y) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

tff(f_779,axiom,
    cC2xcomp(iV8475),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_130) ).

tff(f_730,axiom,
    rR1(iV8467,iV8475),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_109) ).

tff(f_344,axiom,
    ! [X] :
      ( cC48(X)
    <=> ? [Y] :
          ( rR1(X,Y)
          & cC2xcomp(Y) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_44) ).

tff(f_770,axiom,
    cC32xcomp(iV8474),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_127) ).

tff(f_727,axiom,
    rR1(iV8467,iV8474),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_106) ).

tff(f_236,axiom,
    ! [X] :
      ( cC34(X)
    <=> ? [Y] :
          ( rR1(X,Y)
          & cC32xcomp(Y) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_29) ).

tff(f_46,axiom,
    ! [X] :
      ( cC10(X)
    <=> ( cC4(X)
        & cC8(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

tff(c_526,plain,
    cC78xcomp(iV8471),
    inference(cnfTransformation,[status(thm)],[f_750]) ).

tff(c_528,plain,
    cC2xcomp(iV8471),
    inference(cnfTransformation,[status(thm)],[f_752]) ).

tff(c_62305,plain,
    ! [X_5259] :
      ( cC80(X_5259)
      | ~ cC2xcomp(X_5259)
      | ~ cC78xcomp(X_5259) ),
    inference(cnfTransformation,[status(thm)],[f_598]) ).

tff(c_534,plain,
    cC2xcomp(iV8472),
    inference(cnfTransformation,[status(thm)],[f_761]) ).

tff(c_48833,plain,
    ! [X_4118] :
      ( cC60(X_4118)
      | ~ cC58(X_4118)
      | ~ cC2xcomp(X_4118) ),
    inference(cnfTransformation,[status(thm)],[f_462]) ).

tff(c_38877,plain,
    ! [X_3153] :
      ( cC80(X_3153)
      | ~ cC2xcomp(X_3153)
      | ~ cC78xcomp(X_3153) ),
    inference(cnfTransformation,[status(thm)],[f_598]) ).

tff(c_24423,plain,
    ! [X_2233] :
      ( cC60(X_2233)
      | ~ cC58(X_2233)
      | ~ cC2xcomp(X_2233) ),
    inference(cnfTransformation,[status(thm)],[f_462]) ).

tff(c_398,plain,
    ! [X_279] :
      ( cC80(X_279)
      | ~ cC2xcomp(X_279)
      | ~ cC78xcomp(X_279) ),
    inference(cnfTransformation,[status(thm)],[f_598]) ).

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_494,plain,
    cowlThing(iV8467),
    inference(cnfTransformation,[status(thm)],[f_723]) ).

tff(c_530,plain,
    cowlThing(iV8471),
    inference(cnfTransformation,[status(thm)],[f_754]) ).

tff(c_536,plain,
    cowlThing(iV8472),
    inference(cnfTransformation,[status(thm)],[f_763]) ).

tff(c_564,plain,
    ( ~ xsd_integer('#skF_82')
    | xsd_string('#skF_83')
    | ~ cowlThing(iV8472)
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cowlThing(iV8471)
    | ~ cC48(iV8467)
    | ~ cowlThing(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cC20(iV8467)
    | ~ cowlThing('#skF_81')
    | cowlNothing('#skF_80') ),
    inference(cnfTransformation,[status(thm)],[f_844]) ).

tff(c_568,plain,
    ( ~ xsd_integer('#skF_82')
    | xsd_string('#skF_83')
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cowlThing(iV8471)
    | ~ cC48(iV8467)
    | ~ cowlThing(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cC20(iV8467)
    | ~ cowlThing('#skF_81')
    | cowlNothing('#skF_80') ),
    inference(demodulation,[status(thm),theory(equality)],[c_536,c_564]) ).

tff(c_576,plain,
    ( ~ xsd_integer('#skF_82')
    | xsd_string('#skF_83')
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cC48(iV8467)
    | ~ cowlThing(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cC20(iV8467)
    | ~ cowlThing('#skF_81')
    | cowlNothing('#skF_80') ),
    inference(demodulation,[status(thm),theory(equality)],[c_530,c_568]) ).

tff(c_586,plain,
    ( ~ xsd_integer('#skF_82')
    | xsd_string('#skF_83')
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cC48(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cC20(iV8467)
    | ~ cowlThing('#skF_81')
    | cowlNothing('#skF_80') ),
    inference(demodulation,[status(thm),theory(equality)],[c_494,c_576]) ).

tff(c_592,plain,
    ( ~ xsd_integer('#skF_82')
    | xsd_string('#skF_83')
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cC48(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cC20(iV8467)
    | ~ cowlThing('#skF_81') ),
    inference(negUnitSimplification,[status(thm)],[c_4,c_586]) ).

tff(c_610,plain,
    ( ~ xsd_integer('#skF_82')
    | xsd_string('#skF_83')
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cC48(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cC20(iV8467) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_592]) ).

tff(c_613,plain,
    ~ cC20(iV8467),
    inference(splitLeft,[status(thm)],[c_610]) ).

tff(c_496,plain,
    rR1(iV8467,iV8471),
    inference(cnfTransformation,[status(thm)],[f_724]) ).

tff(c_6890,plain,
    ! [X_741,Y_742] :
      ( cC20(X_741)
      | ~ cC2xcomp(Y_742)
      | ~ rR1(X_741,Y_742) ),
    inference(cnfTransformation,[status(thm)],[f_124]) ).

tff(c_6995,plain,
    ( cC20(iV8467)
    | ~ cC2xcomp(iV8471) ),
    inference(resolution,[status(thm)],[c_496,c_6890]) ).

tff(c_7051,plain,
    cC20(iV8467),
    inference(demodulation,[status(thm),theory(equality)],[c_528,c_6995]) ).

tff(c_7053,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_613,c_7051]) ).

tff(c_7055,plain,
    cC20(iV8467),
    inference(splitRight,[status(thm)],[c_610]) ).

tff(c_562,plain,
    ( ~ xsd_string('#skF_82')
    | xsd_string('#skF_83')
    | ~ cowlThing(iV8472)
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cowlThing(iV8471)
    | ~ cC48(iV8467)
    | ~ cowlThing(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cC20(iV8467)
    | ~ cowlThing('#skF_81')
    | cowlNothing('#skF_80') ),
    inference(cnfTransformation,[status(thm)],[f_844]) ).

tff(c_570,plain,
    ( ~ xsd_string('#skF_82')
    | xsd_string('#skF_83')
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cowlThing(iV8471)
    | ~ cC48(iV8467)
    | ~ cowlThing(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cC20(iV8467)
    | ~ cowlThing('#skF_81')
    | cowlNothing('#skF_80') ),
    inference(demodulation,[status(thm),theory(equality)],[c_536,c_562]) ).

tff(c_578,plain,
    ( ~ xsd_string('#skF_82')
    | xsd_string('#skF_83')
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cC48(iV8467)
    | ~ cowlThing(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cC20(iV8467)
    | ~ cowlThing('#skF_81')
    | cowlNothing('#skF_80') ),
    inference(demodulation,[status(thm),theory(equality)],[c_530,c_570]) ).

tff(c_588,plain,
    ( ~ xsd_string('#skF_82')
    | xsd_string('#skF_83')
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cC48(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cC20(iV8467)
    | ~ cowlThing('#skF_81')
    | cowlNothing('#skF_80') ),
    inference(demodulation,[status(thm),theory(equality)],[c_494,c_578]) ).

tff(c_589,plain,
    ( ~ xsd_string('#skF_82')
    | xsd_string('#skF_83')
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cC48(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cC20(iV8467)
    | ~ cowlThing('#skF_81') ),
    inference(negUnitSimplification,[status(thm)],[c_4,c_588]) ).

tff(c_604,plain,
    ( ~ xsd_string('#skF_82')
    | xsd_string('#skF_83')
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cC48(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cC20(iV8467) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_589]) ).

tff(c_7057,plain,
    ( ~ xsd_string('#skF_82')
    | xsd_string('#skF_83')
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cC48(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467) ),
    inference(demodulation,[status(thm),theory(equality)],[c_7055,c_604]) ).

tff(c_7058,plain,
    ~ cC4(iV8467),
    inference(splitLeft,[status(thm)],[c_7057]) ).

tff(c_13230,plain,
    ! [X_1143,Y_1144] :
      ( cC4(X_1143)
      | ~ cC2xcomp(Y_1144)
      | ~ rR1(X_1143,Y_1144) ),
    inference(cnfTransformation,[status(thm)],[f_280]) ).

tff(c_13329,plain,
    ( cC4(iV8467)
    | ~ cC2xcomp(iV8471) ),
    inference(resolution,[status(thm)],[c_496,c_13230]) ).

tff(c_13387,plain,
    cC4(iV8467),
    inference(demodulation,[status(thm),theory(equality)],[c_528,c_13329]) ).

tff(c_13389,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_7058,c_13387]) ).

tff(c_13391,plain,
    cC4(iV8467),
    inference(splitRight,[status(thm)],[c_7057]) ).

tff(c_560,plain,
    ( ~ xsd_integer('#skF_82')
    | xsd_integer('#skF_83')
    | ~ cowlThing(iV8472)
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cowlThing(iV8471)
    | ~ cC48(iV8467)
    | ~ cowlThing(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cC20(iV8467)
    | ~ cowlThing('#skF_81')
    | cowlNothing('#skF_80') ),
    inference(cnfTransformation,[status(thm)],[f_844]) ).

tff(c_572,plain,
    ( ~ xsd_integer('#skF_82')
    | xsd_integer('#skF_83')
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cowlThing(iV8471)
    | ~ cC48(iV8467)
    | ~ cowlThing(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cC20(iV8467)
    | ~ cowlThing('#skF_81')
    | cowlNothing('#skF_80') ),
    inference(demodulation,[status(thm),theory(equality)],[c_536,c_560]) ).

tff(c_580,plain,
    ( ~ xsd_integer('#skF_82')
    | xsd_integer('#skF_83')
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cC48(iV8467)
    | ~ cowlThing(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cC20(iV8467)
    | ~ cowlThing('#skF_81')
    | cowlNothing('#skF_80') ),
    inference(demodulation,[status(thm),theory(equality)],[c_530,c_572]) ).

tff(c_582,plain,
    ( ~ xsd_integer('#skF_82')
    | xsd_integer('#skF_83')
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cC48(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cC20(iV8467)
    | ~ cowlThing('#skF_81')
    | cowlNothing('#skF_80') ),
    inference(demodulation,[status(thm),theory(equality)],[c_494,c_580]) ).

tff(c_590,plain,
    ( ~ xsd_integer('#skF_82')
    | xsd_integer('#skF_83')
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cC48(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cC20(iV8467)
    | ~ cowlThing('#skF_81') ),
    inference(negUnitSimplification,[status(thm)],[c_4,c_582]) ).

tff(c_606,plain,
    ( ~ xsd_integer('#skF_82')
    | xsd_integer('#skF_83')
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cC48(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cC20(iV8467) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_590]) ).

tff(c_13393,plain,
    ( ~ xsd_integer('#skF_82')
    | xsd_integer('#skF_83')
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cC48(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467)
    | ~ cC8(iV8467) ),
    inference(demodulation,[status(thm),theory(equality)],[c_7055,c_13391,c_606]) ).

tff(c_13394,plain,
    ~ cC8(iV8467),
    inference(splitLeft,[status(thm)],[c_13393]) ).

tff(c_516,plain,
    cC6xcomp(iV8469),
    inference(cnfTransformation,[status(thm)],[f_737]) ).

tff(c_500,plain,
    rR1(iV8467,iV8469),
    inference(cnfTransformation,[status(thm)],[f_726]) ).

tff(c_20257,plain,
    ! [X_1552,Y_1553] :
      ( cC8(X_1552)
      | ~ cC6xcomp(Y_1553)
      | ~ rR1(X_1552,Y_1553) ),
    inference(cnfTransformation,[status(thm)],[f_591]) ).

tff(c_20368,plain,
    ( cC8(iV8467)
    | ~ cC6xcomp(iV8469) ),
    inference(resolution,[status(thm)],[c_500,c_20257]) ).

tff(c_20424,plain,
    cC8(iV8467),
    inference(demodulation,[status(thm),theory(equality)],[c_516,c_20368]) ).

tff(c_20426,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_13394,c_20424]) ).

tff(c_20428,plain,
    cC8(iV8467),
    inference(splitRight,[status(thm)],[c_13393]) ).

tff(c_558,plain,
    ( ~ xsd_string('#skF_82')
    | xsd_integer('#skF_83')
    | ~ cowlThing(iV8472)
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cowlThing(iV8471)
    | ~ cC48(iV8467)
    | ~ cowlThing(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cC20(iV8467)
    | ~ cowlThing('#skF_81')
    | cowlNothing('#skF_80') ),
    inference(cnfTransformation,[status(thm)],[f_844]) ).

tff(c_566,plain,
    ( ~ xsd_string('#skF_82')
    | xsd_integer('#skF_83')
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cowlThing(iV8471)
    | ~ cC48(iV8467)
    | ~ cowlThing(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cC20(iV8467)
    | ~ cowlThing('#skF_81')
    | cowlNothing('#skF_80') ),
    inference(demodulation,[status(thm),theory(equality)],[c_536,c_558]) ).

tff(c_574,plain,
    ( ~ xsd_string('#skF_82')
    | xsd_integer('#skF_83')
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cC48(iV8467)
    | ~ cowlThing(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cC20(iV8467)
    | ~ cowlThing('#skF_81')
    | cowlNothing('#skF_80') ),
    inference(demodulation,[status(thm),theory(equality)],[c_530,c_566]) ).

tff(c_584,plain,
    ( ~ xsd_string('#skF_82')
    | xsd_integer('#skF_83')
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cC48(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cC20(iV8467)
    | ~ cowlThing('#skF_81')
    | cowlNothing('#skF_80') ),
    inference(demodulation,[status(thm),theory(equality)],[c_494,c_574]) ).

tff(c_591,plain,
    ( ~ xsd_string('#skF_82')
    | xsd_integer('#skF_83')
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cC48(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cC20(iV8467)
    | ~ cowlThing('#skF_81') ),
    inference(negUnitSimplification,[status(thm)],[c_4,c_584]) ).

tff(c_608,plain,
    ( ~ xsd_string('#skF_82')
    | xsd_integer('#skF_83')
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cC48(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cC20(iV8467) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_591]) ).

tff(c_20431,plain,
    ( ~ xsd_string('#skF_82')
    | xsd_integer('#skF_83')
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cC48(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467) ),
    inference(demodulation,[status(thm),theory(equality)],[c_7055,c_13391,c_20428,c_608]) ).

tff(c_20432,plain,
    ~ cC82(iV8467),
    inference(splitLeft,[status(thm)],[c_20431]) ).

tff(c_22675,plain,
    ! [X_1908,Y_1909] :
      ( cC82(X_1908)
      | ~ cC80(Y_1909)
      | ~ rR1(X_1908,Y_1909) ),
    inference(cnfTransformation,[status(thm)],[f_613]) ).

tff(c_22783,plain,
    ( cC82(iV8467)
    | ~ cC80(iV8471) ),
    inference(resolution,[status(thm)],[c_496,c_22675]) ).

tff(c_22839,plain,
    ~ cC80(iV8471),
    inference(negUnitSimplification,[status(thm)],[c_20432,c_22783]) ).

tff(c_22868,plain,
    ( ~ cC2xcomp(iV8471)
    | ~ cC78xcomp(iV8471) ),
    inference(resolution,[status(thm)],[c_398,c_22839]) ).

tff(c_22872,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_526,c_528,c_22868]) ).

tff(c_22874,plain,
    cC82(iV8467),
    inference(splitRight,[status(thm)],[c_20431]) ).

tff(c_7054,plain,
    ( ~ cC4(iV8467)
    | ~ cC8(iV8467)
    | ~ cC82(iV8467)
    | ~ cC62(iV8467)
    | ~ cC14(iV8467)
    | ~ cC34(iV8467)
    | ~ cC10(iV8467)
    | ~ cC48(iV8467)
    | ~ cC80(iV8471)
    | ~ cC58(iV8472)
    | ~ cC60(iV8472)
    | ~ xsd_integer('#skF_82')
    | xsd_string('#skF_83') ),
    inference(splitRight,[status(thm)],[c_610]) ).

tff(c_22880,plain,
    ( ~ cC62(iV8467)
    | ~ cC14(iV8467)
    | ~ cC34(iV8467)
    | ~ cC10(iV8467)
    | ~ cC48(iV8467)
    | ~ cC80(iV8471)
    | ~ cC58(iV8472)
    | ~ cC60(iV8472)
    | ~ xsd_integer('#skF_82')
    | xsd_string('#skF_83') ),
    inference(demodulation,[status(thm),theory(equality)],[c_22874,c_20428,c_13391,c_7054]) ).

tff(c_22881,plain,
    ~ xsd_integer('#skF_82'),
    inference(splitLeft,[status(thm)],[c_22880]) ).

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

tff(c_22873,plain,
    ( ~ cC62(iV8467)
    | ~ cC14(iV8467)
    | ~ cC34(iV8467)
    | ~ cC10(iV8467)
    | ~ cC48(iV8467)
    | ~ cC80(iV8471)
    | ~ cC58(iV8472)
    | ~ cC60(iV8472)
    | ~ xsd_string('#skF_82')
    | xsd_integer('#skF_83') ),
    inference(splitRight,[status(thm)],[c_20431]) ).

tff(c_22890,plain,
    ~ xsd_string('#skF_82'),
    inference(splitLeft,[status(thm)],[c_22873]) ).

tff(c_22893,plain,
    xsd_integer('#skF_82'),
    inference(resolution,[status(thm)],[c_8,c_22890]) ).

tff(c_22897,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_22881,c_22893]) ).

tff(c_22899,plain,
    xsd_string('#skF_82'),
    inference(splitRight,[status(thm)],[c_22873]) ).

tff(c_13390,plain,
    ( ~ cC8(iV8467)
    | ~ cC82(iV8467)
    | ~ cC62(iV8467)
    | ~ cC14(iV8467)
    | ~ cC34(iV8467)
    | ~ cC10(iV8467)
    | ~ cC48(iV8467)
    | ~ cC80(iV8471)
    | ~ cC58(iV8472)
    | ~ cC60(iV8472)
    | ~ xsd_string('#skF_82')
    | xsd_string('#skF_83') ),
    inference(splitRight,[status(thm)],[c_7057]) ).

tff(c_22919,plain,
    ( ~ cC62(iV8467)
    | ~ cC14(iV8467)
    | ~ cC34(iV8467)
    | ~ cC10(iV8467)
    | ~ cC48(iV8467)
    | ~ cC80(iV8471)
    | ~ cC58(iV8472)
    | ~ cC60(iV8472)
    | xsd_string('#skF_83') ),
    inference(demodulation,[status(thm),theory(equality)],[c_22899,c_22874,c_20428,c_13390]) ).

tff(c_22920,plain,
    ~ cC60(iV8472),
    inference(splitLeft,[status(thm)],[c_22919]) ).

tff(c_24426,plain,
    ( ~ cC58(iV8472)
    | ~ cC2xcomp(iV8472) ),
    inference(resolution,[status(thm)],[c_24423,c_22920]) ).

tff(c_24435,plain,
    ~ cC58(iV8472),
    inference(demodulation,[status(thm),theory(equality)],[c_534,c_24426]) ).

tff(c_554,plain,
    cC2(iV8476),
    inference(cnfTransformation,[status(thm)],[f_783]) ).

tff(c_538,plain,
    rR1(iV8472,iV8476),
    inference(cnfTransformation,[status(thm)],[f_764]) ).

tff(c_26347,plain,
    ! [X_2277,Y_2278] :
      ( cC58(X_2277)
      | ~ cC2(Y_2278)
      | ~ rR1(X_2277,Y_2278) ),
    inference(cnfTransformation,[status(thm)],[f_434]) ).

tff(c_26449,plain,
    ( cC58(iV8472)
    | ~ cC2(iV8476) ),
    inference(resolution,[status(thm)],[c_538,c_26347]) ).

tff(c_26503,plain,
    cC58(iV8472),
    inference(demodulation,[status(thm),theory(equality)],[c_554,c_26449]) ).

tff(c_26505,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_24435,c_26503]) ).

tff(c_26507,plain,
    cC60(iV8472),
    inference(splitRight,[status(thm)],[c_22919]) ).

tff(c_302,plain,
    ! [X_215] :
      ( cC58(X_215)
      | ~ cC60(X_215) ),
    inference(cnfTransformation,[status(thm)],[f_462]) ).

tff(c_26514,plain,
    cC58(iV8472),
    inference(resolution,[status(thm)],[c_26507,c_302]) ).

tff(c_22898,plain,
    ( ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cC48(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | xsd_integer('#skF_83') ),
    inference(splitRight,[status(thm)],[c_22873]) ).

tff(c_26533,plain,
    ( ~ cC80(iV8471)
    | ~ cC48(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | xsd_integer('#skF_83') ),
    inference(demodulation,[status(thm),theory(equality)],[c_26514,c_26507,c_22898]) ).

tff(c_26534,plain,
    ~ cC62(iV8467),
    inference(splitLeft,[status(thm)],[c_26533]) ).

tff(c_510,plain,
    rR1(iV8467,iV8472),
    inference(cnfTransformation,[status(thm)],[f_731]) ).

tff(c_33022,plain,
    ! [X_2653,Y_2654] :
      ( cC62(X_2653)
      | ~ cC60(Y_2654)
      | ~ rR1(X_2653,Y_2654) ),
    inference(cnfTransformation,[status(thm)],[f_470]) ).

tff(c_33142,plain,
    ( cC62(iV8467)
    | ~ cC60(iV8472) ),
    inference(resolution,[status(thm)],[c_510,c_33022]) ).

tff(c_33198,plain,
    cC62(iV8467),
    inference(demodulation,[status(thm),theory(equality)],[c_26507,c_33142]) ).

tff(c_33200,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_26534,c_33198]) ).

tff(c_33202,plain,
    cC62(iV8467),
    inference(splitRight,[status(thm)],[c_26533]) ).

tff(c_26506,plain,
    ( ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cC48(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | xsd_string('#skF_83') ),
    inference(splitRight,[status(thm)],[c_22919]) ).

tff(c_33220,plain,
    ( ~ cC80(iV8471)
    | ~ cC48(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | xsd_string('#skF_83') ),
    inference(demodulation,[status(thm),theory(equality)],[c_33202,c_26514,c_26506]) ).

tff(c_33221,plain,
    ~ cC14(iV8467),
    inference(splitLeft,[status(thm)],[c_33220]) ).

tff(c_522,plain,
    cTOP(iV8470),
    inference(cnfTransformation,[status(thm)],[f_746]) ).

tff(c_498,plain,
    rR1(iV8467,iV8470),
    inference(cnfTransformation,[status(thm)],[f_725]) ).

tff(c_38495,plain,
    ! [X_3007,Y_3008] :
      ( cC14(X_3007)
      | ~ cTOP(Y_3008)
      | ~ rR1(X_3007,Y_3008) ),
    inference(cnfTransformation,[status(thm)],[f_69]) ).

tff(c_38594,plain,
    ( cC14(iV8467)
    | ~ cTOP(iV8470) ),
    inference(resolution,[status(thm)],[c_498,c_38495]) ).

tff(c_38652,plain,
    cC14(iV8467),
    inference(demodulation,[status(thm),theory(equality)],[c_522,c_38594]) ).

tff(c_38654,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_33221,c_38652]) ).

tff(c_38656,plain,
    cC14(iV8467),
    inference(splitRight,[status(thm)],[c_33220]) ).

tff(c_33201,plain,
    ( ~ cC14(iV8467)
    | ~ cC34(iV8467)
    | ~ cC10(iV8467)
    | ~ cC48(iV8467)
    | ~ cC80(iV8471)
    | xsd_integer('#skF_83') ),
    inference(splitRight,[status(thm)],[c_26533]) ).

tff(c_38674,plain,
    ( ~ cC34(iV8467)
    | ~ cC10(iV8467)
    | ~ cC48(iV8467)
    | ~ cC80(iV8471)
    | xsd_integer('#skF_83') ),
    inference(demodulation,[status(thm),theory(equality)],[c_38656,c_33201]) ).

tff(c_38675,plain,
    ~ cC80(iV8471),
    inference(splitLeft,[status(thm)],[c_38674]) ).

tff(c_38880,plain,
    ( ~ cC2xcomp(iV8471)
    | ~ cC78xcomp(iV8471) ),
    inference(resolution,[status(thm)],[c_38877,c_38675]) ).

tff(c_38890,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_526,c_528,c_38880]) ).

tff(c_38892,plain,
    cC80(iV8471),
    inference(splitRight,[status(thm)],[c_38674]) ).

tff(c_38655,plain,
    ( ~ cC34(iV8467)
    | ~ cC10(iV8467)
    | ~ cC48(iV8467)
    | ~ cC80(iV8471)
    | xsd_string('#skF_83') ),
    inference(splitRight,[status(thm)],[c_33220]) ).

tff(c_38906,plain,
    ( ~ cC34(iV8467)
    | ~ cC10(iV8467)
    | ~ cC48(iV8467)
    | xsd_string('#skF_83') ),
    inference(demodulation,[status(thm),theory(equality)],[c_38892,c_38655]) ).

tff(c_38907,plain,
    ~ cC48(iV8467),
    inference(splitLeft,[status(thm)],[c_38906]) ).

tff(c_550,plain,
    cC2xcomp(iV8475),
    inference(cnfTransformation,[status(thm)],[f_779]) ).

tff(c_508,plain,
    rR1(iV8467,iV8475),
    inference(cnfTransformation,[status(thm)],[f_730]) ).

tff(c_41936,plain,
    ! [X_3456,Y_3457] :
      ( cC48(X_3456)
      | ~ cC2xcomp(Y_3457)
      | ~ rR1(X_3456,Y_3457) ),
    inference(cnfTransformation,[status(thm)],[f_344]) ).

tff(c_42041,plain,
    ( cC48(iV8467)
    | ~ cC2xcomp(iV8475) ),
    inference(resolution,[status(thm)],[c_508,c_41936]) ).

tff(c_42097,plain,
    cC48(iV8467),
    inference(demodulation,[status(thm),theory(equality)],[c_550,c_42041]) ).

tff(c_42099,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_38907,c_42097]) ).

tff(c_42101,plain,
    cC48(iV8467),
    inference(splitRight,[status(thm)],[c_38906]) ).

tff(c_38891,plain,
    ( ~ cC48(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | xsd_integer('#skF_83') ),
    inference(splitRight,[status(thm)],[c_38674]) ).

tff(c_42105,plain,
    ( ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | xsd_integer('#skF_83') ),
    inference(demodulation,[status(thm),theory(equality)],[c_42101,c_38891]) ).

tff(c_42106,plain,
    ~ cC34(iV8467),
    inference(splitLeft,[status(thm)],[c_42105]) ).

tff(c_544,plain,
    cC32xcomp(iV8474),
    inference(cnfTransformation,[status(thm)],[f_770]) ).

tff(c_502,plain,
    rR1(iV8467,iV8474),
    inference(cnfTransformation,[status(thm)],[f_727]) ).

tff(c_48066,plain,
    ! [X_3784,Y_3785] :
      ( cC34(X_3784)
      | ~ cC32xcomp(Y_3785)
      | ~ rR1(X_3784,Y_3785) ),
    inference(cnfTransformation,[status(thm)],[f_236]) ).

tff(c_48162,plain,
    ( cC34(iV8467)
    | ~ cC32xcomp(iV8474) ),
    inference(resolution,[status(thm)],[c_502,c_48066]) ).

tff(c_48220,plain,
    cC34(iV8467),
    inference(demodulation,[status(thm),theory(equality)],[c_544,c_48162]) ).

tff(c_48222,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_42106,c_48220]) ).

tff(c_48223,plain,
    ( ~ cC10(iV8467)
    | xsd_integer('#skF_83') ),
    inference(splitRight,[status(thm)],[c_42105]) ).

tff(c_48225,plain,
    ~ cC10(iV8467),
    inference(splitLeft,[status(thm)],[c_48223]) ).

tff(c_48430,plain,
    ! [X_3911] :
      ( cC10(X_3911)
      | ~ cC8(X_3911)
      | ~ cC4(X_3911) ),
    inference(cnfTransformation,[status(thm)],[f_46]) ).

tff(c_48436,plain,
    ( cC10(iV8467)
    | ~ cC4(iV8467) ),
    inference(resolution,[status(thm)],[c_20428,c_48430]) ).

tff(c_48440,plain,
    cC10(iV8467),
    inference(demodulation,[status(thm),theory(equality)],[c_13391,c_48436]) ).

tff(c_48442,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_48225,c_48440]) ).

tff(c_48443,plain,
    xsd_integer('#skF_83'),
    inference(splitRight,[status(thm)],[c_48223]) ).

tff(c_48224,plain,
    cC34(iV8467),
    inference(splitRight,[status(thm)],[c_42105]) ).

tff(c_48444,plain,
    cC10(iV8467),
    inference(splitRight,[status(thm)],[c_48223]) ).

tff(c_42100,plain,
    ( ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | xsd_string('#skF_83') ),
    inference(splitRight,[status(thm)],[c_38906]) ).

tff(c_48452,plain,
    xsd_string('#skF_83'),
    inference(demodulation,[status(thm),theory(equality)],[c_48224,c_48444,c_42100]) ).

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

tff(c_48455,plain,
    ~ xsd_integer('#skF_83'),
    inference(resolution,[status(thm)],[c_48452,c_6]) ).

tff(c_48459,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_48443,c_48455]) ).

tff(c_48461,plain,
    xsd_integer('#skF_82'),
    inference(splitRight,[status(thm)],[c_22880]) ).

tff(c_20427,plain,
    ( ~ cC82(iV8467)
    | ~ cC62(iV8467)
    | ~ cC14(iV8467)
    | ~ cC34(iV8467)
    | ~ cC10(iV8467)
    | ~ cC48(iV8467)
    | ~ cC80(iV8471)
    | ~ cC58(iV8472)
    | ~ cC60(iV8472)
    | ~ xsd_integer('#skF_82')
    | xsd_integer('#skF_83') ),
    inference(splitRight,[status(thm)],[c_13393]) ).

tff(c_48485,plain,
    ( ~ cC62(iV8467)
    | ~ cC14(iV8467)
    | ~ cC34(iV8467)
    | ~ cC10(iV8467)
    | ~ cC48(iV8467)
    | ~ cC80(iV8471)
    | ~ cC58(iV8472)
    | ~ cC60(iV8472)
    | xsd_integer('#skF_83') ),
    inference(demodulation,[status(thm),theory(equality)],[c_48461,c_22874,c_20427]) ).

tff(c_48486,plain,
    ~ cC60(iV8472),
    inference(splitLeft,[status(thm)],[c_48485]) ).

tff(c_48836,plain,
    ( ~ cC58(iV8472)
    | ~ cC2xcomp(iV8472) ),
    inference(resolution,[status(thm)],[c_48833,c_48486]) ).

tff(c_48845,plain,
    ~ cC58(iV8472),
    inference(demodulation,[status(thm),theory(equality)],[c_534,c_48836]) ).

tff(c_50355,plain,
    ! [X_4263,Y_4264] :
      ( cC58(X_4263)
      | ~ cC2(Y_4264)
      | ~ rR1(X_4263,Y_4264) ),
    inference(cnfTransformation,[status(thm)],[f_434]) ).

tff(c_50457,plain,
    ( cC58(iV8472)
    | ~ cC2(iV8476) ),
    inference(resolution,[status(thm)],[c_538,c_50355]) ).

tff(c_50511,plain,
    cC58(iV8472),
    inference(demodulation,[status(thm),theory(equality)],[c_554,c_50457]) ).

tff(c_50513,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_48845,c_50511]) ).

tff(c_50515,plain,
    cC60(iV8472),
    inference(splitRight,[status(thm)],[c_48485]) ).

tff(c_50522,plain,
    cC58(iV8472),
    inference(resolution,[status(thm)],[c_50515,c_302]) ).

tff(c_48460,plain,
    ( ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cC48(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | xsd_string('#skF_83') ),
    inference(splitRight,[status(thm)],[c_22880]) ).

tff(c_50548,plain,
    ( ~ cC80(iV8471)
    | ~ cC48(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | xsd_string('#skF_83') ),
    inference(demodulation,[status(thm),theory(equality)],[c_50522,c_50515,c_48460]) ).

tff(c_50549,plain,
    ~ cC62(iV8467),
    inference(splitLeft,[status(thm)],[c_50548]) ).

tff(c_54494,plain,
    ! [X_4619,Y_4620] :
      ( cC62(X_4619)
      | ~ cC60(Y_4620)
      | ~ rR1(X_4619,Y_4620) ),
    inference(cnfTransformation,[status(thm)],[f_470]) ).

tff(c_54614,plain,
    ( cC62(iV8467)
    | ~ cC60(iV8472) ),
    inference(resolution,[status(thm)],[c_510,c_54494]) ).

tff(c_54670,plain,
    cC62(iV8467),
    inference(demodulation,[status(thm),theory(equality)],[c_50515,c_54614]) ).

tff(c_54672,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_50549,c_54670]) ).

tff(c_54674,plain,
    cC62(iV8467),
    inference(splitRight,[status(thm)],[c_50548]) ).

tff(c_50514,plain,
    ( ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cC48(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | xsd_integer('#skF_83') ),
    inference(splitRight,[status(thm)],[c_48485]) ).

tff(c_54684,plain,
    ( ~ cC80(iV8471)
    | ~ cC48(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | xsd_integer('#skF_83') ),
    inference(demodulation,[status(thm),theory(equality)],[c_54674,c_50522,c_50514]) ).

tff(c_54685,plain,
    ~ cC14(iV8467),
    inference(splitLeft,[status(thm)],[c_54684]) ).

tff(c_60653,plain,
    ! [X_4979,Y_4980] :
      ( cC14(X_4979)
      | ~ cTOP(Y_4980)
      | ~ rR1(X_4979,Y_4980) ),
    inference(cnfTransformation,[status(thm)],[f_69]) ).

tff(c_60752,plain,
    ( cC14(iV8467)
    | ~ cTOP(iV8470) ),
    inference(resolution,[status(thm)],[c_498,c_60653]) ).

tff(c_60810,plain,
    cC14(iV8467),
    inference(demodulation,[status(thm),theory(equality)],[c_522,c_60752]) ).

tff(c_60812,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_54685,c_60810]) ).

tff(c_60814,plain,
    cC14(iV8467),
    inference(splitRight,[status(thm)],[c_54684]) ).

tff(c_54673,plain,
    ( ~ cC14(iV8467)
    | ~ cC34(iV8467)
    | ~ cC10(iV8467)
    | ~ cC48(iV8467)
    | ~ cC80(iV8471)
    | xsd_string('#skF_83') ),
    inference(splitRight,[status(thm)],[c_50548]) ).

tff(c_60826,plain,
    ( ~ cC34(iV8467)
    | ~ cC10(iV8467)
    | ~ cC48(iV8467)
    | ~ cC80(iV8471)
    | xsd_string('#skF_83') ),
    inference(demodulation,[status(thm),theory(equality)],[c_60814,c_54673]) ).

tff(c_60827,plain,
    ~ cC80(iV8471),
    inference(splitLeft,[status(thm)],[c_60826]) ).

tff(c_62308,plain,
    ( ~ cC2xcomp(iV8471)
    | ~ cC78xcomp(iV8471) ),
    inference(resolution,[status(thm)],[c_62305,c_60827]) ).

tff(c_62318,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_526,c_528,c_62308]) ).

tff(c_62320,plain,
    cC80(iV8471),
    inference(splitRight,[status(thm)],[c_60826]) ).

tff(c_60813,plain,
    ( ~ cC34(iV8467)
    | ~ cC10(iV8467)
    | ~ cC48(iV8467)
    | ~ cC80(iV8471)
    | xsd_integer('#skF_83') ),
    inference(splitRight,[status(thm)],[c_54684]) ).

tff(c_62335,plain,
    ( ~ cC34(iV8467)
    | ~ cC10(iV8467)
    | ~ cC48(iV8467)
    | xsd_integer('#skF_83') ),
    inference(demodulation,[status(thm),theory(equality)],[c_62320,c_60813]) ).

tff(c_62336,plain,
    ~ cC48(iV8467),
    inference(splitLeft,[status(thm)],[c_62335]) ).

tff(c_64511,plain,
    ! [X_5559,Y_5560] :
      ( cC48(X_5559)
      | ~ cC2xcomp(Y_5560)
      | ~ rR1(X_5559,Y_5560) ),
    inference(cnfTransformation,[status(thm)],[f_344]) ).

tff(c_64616,plain,
    ( cC48(iV8467)
    | ~ cC2xcomp(iV8475) ),
    inference(resolution,[status(thm)],[c_508,c_64511]) ).

tff(c_64672,plain,
    cC48(iV8467),
    inference(demodulation,[status(thm),theory(equality)],[c_550,c_64616]) ).

tff(c_64674,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_62336,c_64672]) ).

tff(c_64676,plain,
    cC48(iV8467),
    inference(splitRight,[status(thm)],[c_62335]) ).

tff(c_62319,plain,
    ( ~ cC48(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | xsd_string('#skF_83') ),
    inference(splitRight,[status(thm)],[c_60826]) ).

tff(c_64680,plain,
    ( ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | xsd_string('#skF_83') ),
    inference(demodulation,[status(thm),theory(equality)],[c_64676,c_62319]) ).

tff(c_64681,plain,
    ~ cC34(iV8467),
    inference(splitLeft,[status(thm)],[c_64680]) ).

tff(c_71498,plain,
    ! [X_5909,Y_5910] :
      ( cC34(X_5909)
      | ~ cC32xcomp(Y_5910)
      | ~ rR1(X_5909,Y_5910) ),
    inference(cnfTransformation,[status(thm)],[f_236]) ).

tff(c_71594,plain,
    ( cC34(iV8467)
    | ~ cC32xcomp(iV8474) ),
    inference(resolution,[status(thm)],[c_502,c_71498]) ).

tff(c_71652,plain,
    cC34(iV8467),
    inference(demodulation,[status(thm),theory(equality)],[c_544,c_71594]) ).

tff(c_71654,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_64681,c_71652]) ).

tff(c_71655,plain,
    ( ~ cC10(iV8467)
    | xsd_string('#skF_83') ),
    inference(splitRight,[status(thm)],[c_64680]) ).

tff(c_71657,plain,
    ~ cC10(iV8467),
    inference(splitLeft,[status(thm)],[c_71655]) ).

tff(c_72050,plain,
    ! [X_6052] :
      ( cC10(X_6052)
      | ~ cC8(X_6052)
      | ~ cC4(X_6052) ),
    inference(cnfTransformation,[status(thm)],[f_46]) ).

tff(c_72056,plain,
    ( cC10(iV8467)
    | ~ cC4(iV8467) ),
    inference(resolution,[status(thm)],[c_20428,c_72050]) ).

tff(c_72060,plain,
    cC10(iV8467),
    inference(demodulation,[status(thm),theory(equality)],[c_13391,c_72056]) ).

tff(c_72062,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_71657,c_72060]) ).

tff(c_72063,plain,
    xsd_string('#skF_83'),
    inference(splitRight,[status(thm)],[c_71655]) ).

tff(c_72068,plain,
    ~ xsd_integer('#skF_83'),
    inference(resolution,[status(thm)],[c_72063,c_6]) ).

tff(c_71656,plain,
    cC34(iV8467),
    inference(splitRight,[status(thm)],[c_64680]) ).

tff(c_72064,plain,
    cC10(iV8467),
    inference(splitRight,[status(thm)],[c_71655]) ).

tff(c_64675,plain,
    ( ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | xsd_integer('#skF_83') ),
    inference(splitRight,[status(thm)],[c_62335]) ).

tff(c_72070,plain,
    xsd_integer('#skF_83'),
    inference(demodulation,[status(thm),theory(equality)],[c_71656,c_72064,c_64675]) ).

tff(c_72071,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_72068,c_72070]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : KRS155+1 : TPTP v9.0.0. Released v3.1.0.
% 0.00/0.10  % 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
% 0.09/0.31  % Computer : n008.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit : 300
% 0.09/0.31  % WCLimit  : 300
% 0.09/0.31  % DateTime : Tue Apr  8 03:00:47 EDT 2025
% 0.09/0.31  % CPUTime  : 
% 33.95/21.00  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.95/21.04  
% 33.95/21.04  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------