TSTP Solution File: SYO582+1 by E---3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.0
% Problem  : SYO582+1 : TPTP v8.1.0. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 30 00:25:46 EDT 2022

% Result   : CounterSatisfiable 0.19s 0.48s
% Output   : Saturation 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    k04_buttercup10517: $i > $o ).

tff(decl_23,type,
    k04_buttercup10516: $i > $o ).

tff(decl_24,type,
    b48_buttercup10518: $i > $o ).

tff(decl_25,type,
    b48_buttercup10515: $i > $o ).

tff(decl_26,type,
    b48_buttercup10519: $i > $o ).

tff(decl_27,type,
    b48_buttercup10520: $i > $o ).

tff(decl_28,type,
    b48_buttercup10521: $i > $o ).

tff(decl_29,type,
    b48_buttercup10421: $i > $o ).

tff(decl_30,type,
    b48_buttercup10417: $i > $o ).

tff(decl_31,type,
    b48_buttercup10422: $i > $o ).

tff(decl_32,type,
    b48_buttercup10227: $i > $o ).

tff(decl_33,type,
    b48_buttercup10222: $i > $o ).

tff(decl_34,type,
    b48_buttercup10228: $i > $o ).

tff(decl_35,type,
    b48_buttercup10229: $i > $o ).

tff(decl_36,type,
    k04_buttercup10419: $i > $o ).

tff(decl_37,type,
    k04_buttercup10225: $i > $o ).

tff(decl_38,type,
    esk1_0: $i ).

tff(decl_39,type,
    esk2_0: $i ).

tff(decl_40,type,
    esk3_0: $i ).

tff(decl_41,type,
    esk4_0: $i ).

tff(decl_42,type,
    esk5_0: $i ).

tff(decl_43,type,
    esk6_0: $i ).

tff(decl_44,type,
    esk7_0: $i ).

tff(decl_45,type,
    esk8_0: $i ).

tff(decl_46,type,
    esk9_0: $i ).

tff(decl_47,type,
    esk10_0: $i ).

tff(decl_48,type,
    esk11_0: $i ).

tff(decl_49,type,
    esk12_0: $i ).

tff(decl_50,type,
    esk13_0: $i ).

tff(decl_51,type,
    esk14_0: $i ).

tff(decl_52,type,
    esk15_0: $i ).

tff(decl_53,type,
    esk16_0: $i ).

tff(decl_54,type,
    esk17_0: $i ).

tff(decl_55,type,
    esk18_0: $i ).

tff(decl_56,type,
    esk19_0: $i ).

tff(decl_57,type,
    esk20_0: $i ).

tff(decl_58,type,
    esk21_0: $i ).

tff(decl_59,type,
    esk22_0: $i ).

tff(decl_60,type,
    esk23_0: $i ).

tff(decl_61,type,
    esk24_0: $i ).

tff(decl_62,type,
    esk25_0: $i ).

tff(decl_63,type,
    esk26_0: $i ).

tff(decl_64,type,
    esk27_0: $i ).

tff(decl_65,type,
    esk28_0: $i ).

tff(decl_66,type,
    esk29_0: $i ).

tff(decl_67,type,
    esk30_0: $i ).

tff(decl_68,type,
    esk31_0: $i ).

tff(decl_69,type,
    esk32_0: $i ).

tff(decl_70,type,
    esk33_0: $i ).

fof(sos_16,axiom,
    ( ! [X22] :
        ( b48_buttercup10229(X22)
       => k04_buttercup10225(X22) )
    & ? [X23] :
        ( k04_buttercup10225(X23)
        & ~ b48_buttercup10229(X23) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_16) ).

fof(sos_12,axiom,
    ( ! [X13] :
        ( b48_buttercup10227(X13)
       => k04_buttercup10225(X13) )
    & ? [X14] :
        ( k04_buttercup10225(X14)
        & ~ b48_buttercup10227(X14) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_12) ).

fof(sos_15,axiom,
    ( ! [X20] :
        ( k04_buttercup10516(X20)
       => b48_buttercup10417(X20) )
    & ? [X21] :
        ( b48_buttercup10417(X21)
        & ~ k04_buttercup10516(X21) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_15) ).

fof(sos_17,axiom,
    ( ! [X24] :
        ( b48_buttercup10515(X24)
       => k04_buttercup10516(X24) )
    & ? [X25] :
        ( k04_buttercup10516(X25)
        & ~ b48_buttercup10515(X25) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_17) ).

fof(goals_38,conjecture,
    ( ! [X49] :
        ( k04_buttercup10225(X49)
      <=> b48_buttercup10519(X49) )
    | ( ! [X50] :
          ( b48_buttercup10519(X50)
         => k04_buttercup10225(X50) )
      & ? [X51] :
          ( k04_buttercup10225(X51)
          & ~ b48_buttercup10519(X51) ) )
    | ? [X52,X53,X54] :
        ( k04_buttercup10225(X52)
        & b48_buttercup10519(X52)
        & k04_buttercup10225(X53)
        & ~ b48_buttercup10519(X53)
        & ~ k04_buttercup10225(X54)
        & b48_buttercup10519(X54) )
    | ! [X55] :
        ( k04_buttercup10225(X55)
       => ~ b48_buttercup10519(X55) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_38) ).

fof(sos_30,axiom,
    ? [X41] : b48_buttercup10229(X41),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_30) ).

fof(sos_29,axiom,
    ? [X40] : b48_buttercup10227(X40),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_29) ).

fof(sos_22,axiom,
    ? [X33] : k04_buttercup10225(X33),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_22) ).

fof(sos_21,axiom,
    ? [X30,X31,X32] :
      ( k04_buttercup10419(X30)
      & b48_buttercup10417(X30)
      & k04_buttercup10419(X31)
      & ~ b48_buttercup10417(X31)
      & ~ k04_buttercup10419(X32)
      & b48_buttercup10417(X32) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_21) ).

fof(sos_03,axiom,
    ! [X3] :
      ( b48_buttercup10519(X3)
     => b48_buttercup10515(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).

fof(sos_01,axiom,
    ! [X1] :
      ( k04_buttercup10517(X1)
     => k04_buttercup10516(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).

fof(sos_20,axiom,
    ! [X29] :
      ( k04_buttercup10517(X29)
    <=> b48_buttercup10421(X29) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_20) ).

fof(sos_14,axiom,
    ? [X17,X18,X19] :
      ( k04_buttercup10419(X17)
      & b48_buttercup10222(X17)
      & k04_buttercup10419(X18)
      & ~ b48_buttercup10222(X18)
      & ~ k04_buttercup10419(X19)
      & b48_buttercup10222(X19) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_14) ).

fof(sos_18,axiom,
    ( ! [X26] :
        ( k04_buttercup10225(X26)
       => b48_buttercup10222(X26) )
    & ? [X27] :
        ( b48_buttercup10222(X27)
        & ~ k04_buttercup10225(X27) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_18) ).

fof(sos_02,axiom,
    ! [X2] :
      ( b48_buttercup10518(X2)
     => b48_buttercup10515(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).

fof(sos_36,axiom,
    ? [X47] : b48_buttercup10518(X47),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_36) ).

fof(sos_04,axiom,
    ! [X4] :
      ( b48_buttercup10520(X4)
     => b48_buttercup10515(X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).

fof(sos_37,axiom,
    ? [X48] : b48_buttercup10520(X48),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_37) ).

fof(sos_05,axiom,
    ! [X5] :
      ( b48_buttercup10521(X5)
     => b48_buttercup10515(X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05) ).

fof(sos_26,axiom,
    ? [X37] : b48_buttercup10521(X37),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_26) ).

fof(sos_23,axiom,
    ? [X34] : k04_buttercup10517(X34),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_23) ).

fof(sos_13,axiom,
    ( ! [X15] :
        ( b48_buttercup10228(X15)
       => k04_buttercup10419(X15) )
    & ? [X16] :
        ( k04_buttercup10419(X16)
        & ~ b48_buttercup10228(X16) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_13) ).

fof(sos_11,axiom,
    ( ! [X11] :
        ( b48_buttercup10422(X11)
       => k04_buttercup10419(X11) )
    & ? [X12] :
        ( k04_buttercup10419(X12)
        & ~ b48_buttercup10422(X12) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_11) ).

fof(sos_35,axiom,
    ? [X46] : b48_buttercup10519(X46),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).

fof(sos_19,axiom,
    ~ ! [X28] :
        ( k04_buttercup10419(X28)
      <=> b48_buttercup10421(X28) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_19) ).

fof(sos_06,axiom,
    ! [X6] :
      ( b48_buttercup10421(X6)
     => b48_buttercup10417(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_06) ).

fof(sos_33,axiom,
    ? [X44] : b48_buttercup10515(X44),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_33) ).

fof(sos_28,axiom,
    ? [X39] : b48_buttercup10421(X39),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_28) ).

fof(sos_34,axiom,
    ? [X45] : b48_buttercup10228(X45),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_34) ).

fof(sos_27,axiom,
    ? [X38] : b48_buttercup10422(X38),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_27) ).

fof(sos_10,axiom,
    ! [X10] :
      ( b48_buttercup10229(X10)
     => b48_buttercup10222(X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_10) ).

fof(sos_09,axiom,
    ! [X9] :
      ( b48_buttercup10228(X9)
     => b48_buttercup10222(X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_09) ).

fof(sos_08,axiom,
    ! [X8] :
      ( b48_buttercup10227(X8)
     => b48_buttercup10222(X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).

fof(sos_07,axiom,
    ! [X7] :
      ( b48_buttercup10422(X7)
     => b48_buttercup10417(X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).

fof(sos_24,axiom,
    ? [X35] : k04_buttercup10516(X35),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_24) ).

fof(sos_25,axiom,
    ? [X36] : k04_buttercup10419(X36),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_25) ).

fof(sos_32,axiom,
    ? [X43] : b48_buttercup10222(X43),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).

fof(sos_31,axiom,
    ? [X42] : b48_buttercup10417(X42),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_31) ).

fof(c_0_38,plain,
    ( ! [X22] :
        ( b48_buttercup10229(X22)
       => k04_buttercup10225(X22) )
    & ? [X23] :
        ( k04_buttercup10225(X23)
        & ~ b48_buttercup10229(X23) ) ),
    inference(fof_simplification,[status(thm)],[sos_16]) ).

fof(c_0_39,plain,
    ( ! [X13] :
        ( b48_buttercup10227(X13)
       => k04_buttercup10225(X13) )
    & ? [X14] :
        ( k04_buttercup10225(X14)
        & ~ b48_buttercup10227(X14) ) ),
    inference(fof_simplification,[status(thm)],[sos_12]) ).

fof(c_0_40,plain,
    ( ! [X20] :
        ( k04_buttercup10516(X20)
       => b48_buttercup10417(X20) )
    & ? [X21] :
        ( b48_buttercup10417(X21)
        & ~ k04_buttercup10516(X21) ) ),
    inference(fof_simplification,[status(thm)],[sos_15]) ).

fof(c_0_41,plain,
    ( ! [X24] :
        ( b48_buttercup10515(X24)
       => k04_buttercup10516(X24) )
    & ? [X25] :
        ( k04_buttercup10516(X25)
        & ~ b48_buttercup10515(X25) ) ),
    inference(fof_simplification,[status(thm)],[sos_17]) ).

fof(c_0_42,negated_conjecture,
    ~ ( ! [X49] :
          ( k04_buttercup10225(X49)
        <=> b48_buttercup10519(X49) )
      | ( ! [X50] :
            ( b48_buttercup10519(X50)
           => k04_buttercup10225(X50) )
        & ? [X51] :
            ( k04_buttercup10225(X51)
            & ~ b48_buttercup10519(X51) ) )
      | ? [X52,X53,X54] :
          ( k04_buttercup10225(X52)
          & b48_buttercup10519(X52)
          & k04_buttercup10225(X53)
          & ~ b48_buttercup10519(X53)
          & ~ k04_buttercup10225(X54)
          & b48_buttercup10519(X54) )
      | ! [X55] :
          ( k04_buttercup10225(X55)
         => ~ b48_buttercup10519(X55) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[goals_38])]) ).

fof(c_0_43,plain,
    ! [X67] :
      ( ( ~ b48_buttercup10229(X67)
        | k04_buttercup10225(X67) )
      & k04_buttercup10225(esk6_0)
      & ~ b48_buttercup10229(esk6_0) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])]) ).

fof(c_0_44,plain,
    b48_buttercup10229(esk12_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[sos_30])]) ).

fof(c_0_45,plain,
    ! [X65] :
      ( ( ~ b48_buttercup10227(X65)
        | k04_buttercup10225(X65) )
      & k04_buttercup10225(esk5_0)
      & ~ b48_buttercup10227(esk5_0) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])]) ).

fof(c_0_46,plain,
    b48_buttercup10227(esk11_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[sos_29])]) ).

fof(c_0_47,plain,
    ! [X91] :
      ( ( ~ k04_buttercup10516(X91)
        | b48_buttercup10417(X91) )
      & b48_buttercup10417(esk20_0)
      & ~ k04_buttercup10516(esk20_0) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])]) ).

fof(c_0_48,plain,
    ! [X75] :
      ( ( ~ b48_buttercup10515(X75)
        | k04_buttercup10516(X75) )
      & k04_buttercup10516(esk9_0)
      & ~ b48_buttercup10515(esk9_0) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])])]) ).

fof(c_0_49,negated_conjecture,
    ! [X58,X59,X60,X61] :
      ( ( ~ k04_buttercup10225(esk1_0)
        | ~ b48_buttercup10519(esk1_0) )
      & ( k04_buttercup10225(esk1_0)
        | b48_buttercup10519(esk1_0) )
      & ( b48_buttercup10519(esk2_0)
        | ~ k04_buttercup10225(X58)
        | b48_buttercup10519(X58) )
      & ( ~ k04_buttercup10225(esk2_0)
        | ~ k04_buttercup10225(X58)
        | b48_buttercup10519(X58) )
      & ( ~ k04_buttercup10225(X59)
        | ~ b48_buttercup10519(X59)
        | ~ k04_buttercup10225(X60)
        | b48_buttercup10519(X60)
        | k04_buttercup10225(X61)
        | ~ b48_buttercup10519(X61) )
      & k04_buttercup10225(esk3_0)
      & b48_buttercup10519(esk3_0) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])])])]) ).

cnf(c_0_50,plain,
    ( k04_buttercup10225(X1)
    | ~ b48_buttercup10229(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_43]),
    [final] ).

cnf(c_0_51,plain,
    b48_buttercup10229(esk12_0),
    inference(split_conjunct,[status(thm)],[c_0_44]),
    [final] ).

cnf(c_0_52,plain,
    ( k04_buttercup10225(X1)
    | ~ b48_buttercup10227(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_45]),
    [final] ).

cnf(c_0_53,plain,
    b48_buttercup10227(esk11_0),
    inference(split_conjunct,[status(thm)],[c_0_46]),
    [final] ).

fof(c_0_54,plain,
    k04_buttercup10225(esk8_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[sos_22])]) ).

fof(c_0_55,plain,
    ? [X30,X31,X32] :
      ( k04_buttercup10419(X30)
      & b48_buttercup10417(X30)
      & k04_buttercup10419(X31)
      & ~ b48_buttercup10417(X31)
      & ~ k04_buttercup10419(X32)
      & b48_buttercup10417(X32) ),
    inference(fof_simplification,[status(thm)],[sos_21]) ).

cnf(c_0_56,plain,
    ( b48_buttercup10417(X1)
    | ~ k04_buttercup10516(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_47]),
    [final] ).

cnf(c_0_57,plain,
    ( k04_buttercup10516(X1)
    | ~ b48_buttercup10515(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_48]),
    [final] ).

fof(c_0_58,plain,
    ! [X63] :
      ( ~ b48_buttercup10519(X63)
      | b48_buttercup10515(X63) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_03])]) ).

cnf(c_0_59,negated_conjecture,
    ( b48_buttercup10519(X2)
    | k04_buttercup10225(X3)
    | ~ k04_buttercup10225(X1)
    | ~ b48_buttercup10519(X1)
    | ~ k04_buttercup10225(X2)
    | ~ b48_buttercup10519(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_49]),
    [final] ).

cnf(c_0_60,plain,
    k04_buttercup10225(esk12_0),
    inference(spm,[status(thm)],[c_0_50,c_0_51]),
    [final] ).

cnf(c_0_61,plain,
    k04_buttercup10225(esk11_0),
    inference(spm,[status(thm)],[c_0_52,c_0_53]),
    [final] ).

cnf(c_0_62,plain,
    k04_buttercup10225(esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_45]),
    [final] ).

cnf(c_0_63,plain,
    k04_buttercup10225(esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_43]),
    [final] ).

cnf(c_0_64,plain,
    k04_buttercup10225(esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_54]),
    [final] ).

fof(c_0_65,plain,
    ! [X90] :
      ( ~ k04_buttercup10517(X90)
      | k04_buttercup10516(X90) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_01])]) ).

fof(c_0_66,plain,
    ! [X104] :
      ( ( ~ k04_buttercup10517(X104)
        | b48_buttercup10421(X104) )
      & ( ~ b48_buttercup10421(X104)
        | k04_buttercup10517(X104) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_20])]) ).

fof(c_0_67,plain,
    ( k04_buttercup10419(esk26_0)
    & b48_buttercup10417(esk26_0)
    & k04_buttercup10419(esk27_0)
    & ~ b48_buttercup10417(esk27_0)
    & ~ k04_buttercup10419(esk28_0)
    & b48_buttercup10417(esk28_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_55])]) ).

cnf(c_0_68,plain,
    ( b48_buttercup10417(X1)
    | ~ b48_buttercup10515(X1) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]),
    [final] ).

cnf(c_0_69,plain,
    ( b48_buttercup10515(X1)
    | ~ b48_buttercup10519(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_58]),
    [final] ).

cnf(c_0_70,plain,
    ~ k04_buttercup10516(esk20_0),
    inference(split_conjunct,[status(thm)],[c_0_47]),
    [final] ).

fof(c_0_71,plain,
    ? [X17,X18,X19] :
      ( k04_buttercup10419(X17)
      & b48_buttercup10222(X17)
      & k04_buttercup10419(X18)
      & ~ b48_buttercup10222(X18)
      & ~ k04_buttercup10419(X19)
      & b48_buttercup10222(X19) ),
    inference(fof_simplification,[status(thm)],[sos_14]) ).

fof(c_0_72,plain,
    ( ! [X26] :
        ( k04_buttercup10225(X26)
       => b48_buttercup10222(X26) )
    & ? [X27] :
        ( b48_buttercup10222(X27)
        & ~ k04_buttercup10225(X27) ) ),
    inference(fof_simplification,[status(thm)],[sos_18]) ).

fof(c_0_73,plain,
    ! [X72] :
      ( ~ b48_buttercup10518(X72)
      | b48_buttercup10515(X72) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_02])]) ).

fof(c_0_74,plain,
    b48_buttercup10518(esk17_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[sos_36])]) ).

fof(c_0_75,plain,
    ! [X73] :
      ( ~ b48_buttercup10520(X73)
      | b48_buttercup10515(X73) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_04])]) ).

fof(c_0_76,plain,
    b48_buttercup10520(esk18_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[sos_37])]) ).

fof(c_0_77,plain,
    ! [X74] :
      ( ~ b48_buttercup10521(X74)
      | b48_buttercup10515(X74) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_05])]) ).

fof(c_0_78,plain,
    b48_buttercup10521(esk19_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[sos_26])]) ).

fof(c_0_79,plain,
    k04_buttercup10517(esk30_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[sos_23])]) ).

fof(c_0_80,plain,
    ( ! [X15] :
        ( b48_buttercup10228(X15)
       => k04_buttercup10419(X15) )
    & ? [X16] :
        ( k04_buttercup10419(X16)
        & ~ b48_buttercup10228(X16) ) ),
    inference(fof_simplification,[status(thm)],[sos_13]) ).

fof(c_0_81,plain,
    ( ! [X11] :
        ( b48_buttercup10422(X11)
       => k04_buttercup10419(X11) )
    & ? [X12] :
        ( k04_buttercup10419(X12)
        & ~ b48_buttercup10422(X12) ) ),
    inference(fof_simplification,[status(thm)],[sos_11]) ).

cnf(c_0_82,negated_conjecture,
    ( k04_buttercup10225(X1)
    | b48_buttercup10519(esk12_0)
    | ~ k04_buttercup10225(X2)
    | ~ b48_buttercup10519(X1)
    | ~ b48_buttercup10519(X2) ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_83,negated_conjecture,
    k04_buttercup10225(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_49]),
    [final] ).

cnf(c_0_84,negated_conjecture,
    b48_buttercup10519(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_49]),
    [final] ).

fof(c_0_85,plain,
    b48_buttercup10519(esk4_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[sos_35])]) ).

cnf(c_0_86,negated_conjecture,
    ( k04_buttercup10225(X1)
    | b48_buttercup10519(esk11_0)
    | ~ k04_buttercup10225(X2)
    | ~ b48_buttercup10519(X1)
    | ~ b48_buttercup10519(X2) ),
    inference(spm,[status(thm)],[c_0_59,c_0_61]) ).

cnf(c_0_87,negated_conjecture,
    ( k04_buttercup10225(X1)
    | b48_buttercup10519(esk5_0)
    | ~ k04_buttercup10225(X2)
    | ~ b48_buttercup10519(X1)
    | ~ b48_buttercup10519(X2) ),
    inference(spm,[status(thm)],[c_0_59,c_0_62]) ).

cnf(c_0_88,negated_conjecture,
    ( b48_buttercup10519(esk2_0)
    | b48_buttercup10519(X1)
    | ~ k04_buttercup10225(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_49]),
    [final] ).

cnf(c_0_89,negated_conjecture,
    ( k04_buttercup10225(X1)
    | b48_buttercup10519(esk6_0)
    | ~ k04_buttercup10225(X2)
    | ~ b48_buttercup10519(X1)
    | ~ b48_buttercup10519(X2) ),
    inference(spm,[status(thm)],[c_0_59,c_0_63]) ).

cnf(c_0_90,negated_conjecture,
    ( k04_buttercup10225(X1)
    | b48_buttercup10519(esk8_0)
    | ~ k04_buttercup10225(X2)
    | ~ b48_buttercup10519(X1)
    | ~ b48_buttercup10519(X2) ),
    inference(spm,[status(thm)],[c_0_59,c_0_64]) ).

cnf(c_0_91,plain,
    ( k04_buttercup10516(X1)
    | ~ k04_buttercup10517(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_65]),
    [final] ).

cnf(c_0_92,plain,
    ( k04_buttercup10517(X1)
    | ~ b48_buttercup10421(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_66]),
    [final] ).

fof(c_0_93,plain,
    ( ( ~ k04_buttercup10419(esk25_0)
      | ~ b48_buttercup10421(esk25_0) )
    & ( k04_buttercup10419(esk25_0)
      | b48_buttercup10421(esk25_0) ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_19])])]) ).

cnf(c_0_94,plain,
    ~ b48_buttercup10417(esk27_0),
    inference(split_conjunct,[status(thm)],[c_0_67]),
    [final] ).

cnf(c_0_95,plain,
    ( b48_buttercup10417(X1)
    | ~ b48_buttercup10519(X1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]),
    [final] ).

fof(c_0_96,plain,
    ! [X106] :
      ( ~ b48_buttercup10421(X106)
      | b48_buttercup10417(X106) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_06])]) ).

cnf(c_0_97,plain,
    ~ b48_buttercup10515(esk20_0),
    inference(spm,[status(thm)],[c_0_70,c_0_57]),
    [final] ).

cnf(c_0_98,plain,
    ~ b48_buttercup10515(esk9_0),
    inference(split_conjunct,[status(thm)],[c_0_48]),
    [final] ).

fof(c_0_99,plain,
    ( k04_buttercup10419(esk13_0)
    & b48_buttercup10222(esk13_0)
    & k04_buttercup10419(esk14_0)
    & ~ b48_buttercup10222(esk14_0)
    & ~ k04_buttercup10419(esk15_0)
    & b48_buttercup10222(esk15_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_71])]) ).

fof(c_0_100,plain,
    ! [X69] :
      ( ( ~ k04_buttercup10225(X69)
        | b48_buttercup10222(X69) )
      & b48_buttercup10222(esk7_0)
      & ~ k04_buttercup10225(esk7_0) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_72])])])]) ).

fof(c_0_101,plain,
    b48_buttercup10515(esk10_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[sos_33])]) ).

cnf(c_0_102,plain,
    ( b48_buttercup10515(X1)
    | ~ b48_buttercup10518(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_73]),
    [final] ).

cnf(c_0_103,plain,
    b48_buttercup10518(esk17_0),
    inference(split_conjunct,[status(thm)],[c_0_74]),
    [final] ).

cnf(c_0_104,plain,
    ( b48_buttercup10515(X1)
    | ~ b48_buttercup10520(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_75]),
    [final] ).

cnf(c_0_105,plain,
    b48_buttercup10520(esk18_0),
    inference(split_conjunct,[status(thm)],[c_0_76]),
    [final] ).

cnf(c_0_106,plain,
    ( b48_buttercup10515(X1)
    | ~ b48_buttercup10521(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_77]),
    [final] ).

cnf(c_0_107,plain,
    b48_buttercup10521(esk19_0),
    inference(split_conjunct,[status(thm)],[c_0_78]),
    [final] ).

fof(c_0_108,plain,
    b48_buttercup10421(esk33_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[sos_28])]) ).

cnf(c_0_109,plain,
    k04_buttercup10517(esk30_0),
    inference(split_conjunct,[status(thm)],[c_0_79]),
    [final] ).

fof(c_0_110,plain,
    ! [X94] :
      ( ( ~ b48_buttercup10228(X94)
        | k04_buttercup10419(X94) )
      & k04_buttercup10419(esk22_0)
      & ~ b48_buttercup10228(esk22_0) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_80])])])]) ).

fof(c_0_111,plain,
    b48_buttercup10228(esk23_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[sos_34])]) ).

fof(c_0_112,plain,
    ! [X97] :
      ( ( ~ b48_buttercup10422(X97)
        | k04_buttercup10419(X97) )
      & k04_buttercup10419(esk24_0)
      & ~ b48_buttercup10422(esk24_0) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_81])])])]) ).

fof(c_0_113,plain,
    b48_buttercup10422(esk32_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[sos_27])]) ).

fof(c_0_114,plain,
    ! [X80] :
      ( ~ b48_buttercup10229(X80)
      | b48_buttercup10222(X80) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_10])]) ).

fof(c_0_115,plain,
    ! [X82] :
      ( ~ b48_buttercup10228(X82)
      | b48_buttercup10222(X82) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_09])]) ).

fof(c_0_116,plain,
    ! [X78] :
      ( ~ b48_buttercup10227(X78)
      | b48_buttercup10222(X78) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_08])]) ).

fof(c_0_117,plain,
    ! [X107] :
      ( ~ b48_buttercup10422(X107)
      | b48_buttercup10417(X107) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_07])]) ).

fof(c_0_118,plain,
    k04_buttercup10516(esk21_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[sos_24])]) ).

cnf(c_0_119,negated_conjecture,
    ( k04_buttercup10225(X1)
    | b48_buttercup10519(esk12_0)
    | ~ b48_buttercup10519(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84])]),
    [final] ).

cnf(c_0_120,negated_conjecture,
    ( k04_buttercup10225(esk1_0)
    | b48_buttercup10519(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_49]),
    [final] ).

cnf(c_0_121,plain,
    b48_buttercup10519(esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_85]),
    [final] ).

cnf(c_0_122,negated_conjecture,
    ( k04_buttercup10225(X1)
    | b48_buttercup10519(esk11_0)
    | ~ b48_buttercup10519(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_83]),c_0_84])]),
    [final] ).

cnf(c_0_123,negated_conjecture,
    ( k04_buttercup10225(X1)
    | b48_buttercup10519(esk5_0)
    | ~ b48_buttercup10519(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_83]),c_0_84])]),
    [final] ).

cnf(c_0_124,negated_conjecture,
    ( b48_buttercup10519(esk2_0)
    | b48_buttercup10519(esk5_0) ),
    inference(spm,[status(thm)],[c_0_88,c_0_62]),
    [final] ).

cnf(c_0_125,negated_conjecture,
    ( k04_buttercup10225(X1)
    | b48_buttercup10519(esk6_0)
    | ~ b48_buttercup10519(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_83]),c_0_84])]),
    [final] ).

cnf(c_0_126,negated_conjecture,
    ( b48_buttercup10519(esk2_0)
    | b48_buttercup10519(esk6_0) ),
    inference(spm,[status(thm)],[c_0_88,c_0_63]),
    [final] ).

cnf(c_0_127,negated_conjecture,
    ( k04_buttercup10225(X1)
    | b48_buttercup10519(esk8_0)
    | ~ b48_buttercup10519(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_83]),c_0_84])]),
    [final] ).

cnf(c_0_128,plain,
    ( k04_buttercup10516(X1)
    | ~ b48_buttercup10421(X1) ),
    inference(spm,[status(thm)],[c_0_91,c_0_92]),
    [final] ).

cnf(c_0_129,plain,
    ( k04_buttercup10419(esk25_0)
    | b48_buttercup10421(esk25_0) ),
    inference(split_conjunct,[status(thm)],[c_0_93]),
    [final] ).

cnf(c_0_130,plain,
    ~ b48_buttercup10519(esk27_0),
    inference(spm,[status(thm)],[c_0_94,c_0_95]),
    [final] ).

cnf(c_0_131,negated_conjecture,
    ( b48_buttercup10519(X1)
    | ~ k04_buttercup10225(esk2_0)
    | ~ k04_buttercup10225(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_49]),
    [final] ).

cnf(c_0_132,plain,
    ( b48_buttercup10417(X1)
    | ~ b48_buttercup10421(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_96]),
    [final] ).

cnf(c_0_133,plain,
    ~ b48_buttercup10519(esk20_0),
    inference(spm,[status(thm)],[c_0_97,c_0_69]),
    [final] ).

cnf(c_0_134,plain,
    ~ b48_buttercup10519(esk9_0),
    inference(spm,[status(thm)],[c_0_98,c_0_69]),
    [final] ).

cnf(c_0_135,negated_conjecture,
    ( ~ k04_buttercup10225(esk1_0)
    | ~ b48_buttercup10519(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_49]),
    [final] ).

cnf(c_0_136,plain,
    ~ b48_buttercup10222(esk14_0),
    inference(split_conjunct,[status(thm)],[c_0_99]),
    [final] ).

cnf(c_0_137,plain,
    ( b48_buttercup10222(X1)
    | ~ k04_buttercup10225(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_100]),
    [final] ).

cnf(c_0_138,plain,
    b48_buttercup10515(esk10_0),
    inference(split_conjunct,[status(thm)],[c_0_101]),
    [final] ).

cnf(c_0_139,plain,
    b48_buttercup10515(esk17_0),
    inference(spm,[status(thm)],[c_0_102,c_0_103]),
    [final] ).

cnf(c_0_140,plain,
    b48_buttercup10515(esk18_0),
    inference(spm,[status(thm)],[c_0_104,c_0_105]),
    [final] ).

cnf(c_0_141,plain,
    b48_buttercup10515(esk19_0),
    inference(spm,[status(thm)],[c_0_106,c_0_107]),
    [final] ).

cnf(c_0_142,plain,
    b48_buttercup10421(esk33_0),
    inference(split_conjunct,[status(thm)],[c_0_108]),
    [final] ).

cnf(c_0_143,plain,
    k04_buttercup10516(esk30_0),
    inference(spm,[status(thm)],[c_0_91,c_0_109]),
    [final] ).

cnf(c_0_144,plain,
    ( k04_buttercup10419(X1)
    | ~ b48_buttercup10228(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_110]),
    [final] ).

cnf(c_0_145,plain,
    b48_buttercup10228(esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_111]),
    [final] ).

cnf(c_0_146,plain,
    ( k04_buttercup10419(X1)
    | ~ b48_buttercup10422(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_112]),
    [final] ).

cnf(c_0_147,plain,
    b48_buttercup10422(esk32_0),
    inference(split_conjunct,[status(thm)],[c_0_113]),
    [final] ).

cnf(c_0_148,plain,
    ( b48_buttercup10222(X1)
    | ~ b48_buttercup10229(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_114]),
    [final] ).

cnf(c_0_149,plain,
    ( b48_buttercup10222(X1)
    | ~ b48_buttercup10228(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_115]),
    [final] ).

cnf(c_0_150,plain,
    ( b48_buttercup10222(X1)
    | ~ b48_buttercup10227(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_116]),
    [final] ).

cnf(c_0_151,plain,
    ( b48_buttercup10417(X1)
    | ~ b48_buttercup10422(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_117]),
    [final] ).

cnf(c_0_152,plain,
    k04_buttercup10516(esk9_0),
    inference(split_conjunct,[status(thm)],[c_0_48]),
    [final] ).

cnf(c_0_153,plain,
    k04_buttercup10516(esk21_0),
    inference(split_conjunct,[status(thm)],[c_0_118]),
    [final] ).

cnf(c_0_154,plain,
    ( b48_buttercup10421(X1)
    | ~ k04_buttercup10517(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_66]),
    [final] ).

fof(c_0_155,plain,
    k04_buttercup10419(esk29_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[sos_25])]) ).

fof(c_0_156,plain,
    b48_buttercup10222(esk16_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[sos_32])]) ).

fof(c_0_157,plain,
    b48_buttercup10417(esk31_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[sos_31])]) ).

cnf(c_0_158,negated_conjecture,
    ( k04_buttercup10225(esk1_0)
    | b48_buttercup10519(esk12_0) ),
    inference(spm,[status(thm)],[c_0_119,c_0_120]),
    [final] ).

cnf(c_0_159,negated_conjecture,
    ( k04_buttercup10225(esk4_0)
    | b48_buttercup10519(esk12_0) ),
    inference(spm,[status(thm)],[c_0_119,c_0_121]),
    [final] ).

cnf(c_0_160,negated_conjecture,
    ( k04_buttercup10225(esk1_0)
    | b48_buttercup10519(esk11_0) ),
    inference(spm,[status(thm)],[c_0_122,c_0_120]),
    [final] ).

cnf(c_0_161,negated_conjecture,
    ( k04_buttercup10225(esk4_0)
    | b48_buttercup10519(esk11_0) ),
    inference(spm,[status(thm)],[c_0_122,c_0_121]),
    [final] ).

cnf(c_0_162,negated_conjecture,
    ( k04_buttercup10225(esk1_0)
    | b48_buttercup10519(esk5_0) ),
    inference(spm,[status(thm)],[c_0_123,c_0_120]),
    [final] ).

cnf(c_0_163,negated_conjecture,
    ( k04_buttercup10225(esk2_0)
    | b48_buttercup10519(esk5_0) ),
    inference(spm,[status(thm)],[c_0_123,c_0_124]),
    [final] ).

cnf(c_0_164,negated_conjecture,
    ( k04_buttercup10225(esk4_0)
    | b48_buttercup10519(esk5_0) ),
    inference(spm,[status(thm)],[c_0_123,c_0_121]),
    [final] ).

cnf(c_0_165,negated_conjecture,
    ( k04_buttercup10225(esk1_0)
    | b48_buttercup10519(esk6_0) ),
    inference(spm,[status(thm)],[c_0_125,c_0_120]),
    [final] ).

cnf(c_0_166,negated_conjecture,
    ( k04_buttercup10225(esk2_0)
    | b48_buttercup10519(esk6_0) ),
    inference(spm,[status(thm)],[c_0_125,c_0_126]),
    [final] ).

cnf(c_0_167,negated_conjecture,
    ( k04_buttercup10225(esk4_0)
    | b48_buttercup10519(esk6_0) ),
    inference(spm,[status(thm)],[c_0_125,c_0_121]),
    [final] ).

cnf(c_0_168,negated_conjecture,
    ( k04_buttercup10225(esk1_0)
    | b48_buttercup10519(esk8_0) ),
    inference(spm,[status(thm)],[c_0_127,c_0_120]),
    [final] ).

cnf(c_0_169,negated_conjecture,
    ( k04_buttercup10225(esk4_0)
    | b48_buttercup10519(esk8_0) ),
    inference(spm,[status(thm)],[c_0_127,c_0_121]),
    [final] ).

cnf(c_0_170,negated_conjecture,
    ( b48_buttercup10519(esk2_0)
    | b48_buttercup10519(esk12_0) ),
    inference(spm,[status(thm)],[c_0_88,c_0_60]),
    [final] ).

cnf(c_0_171,negated_conjecture,
    ( b48_buttercup10519(esk2_0)
    | b48_buttercup10519(esk11_0) ),
    inference(spm,[status(thm)],[c_0_88,c_0_61]),
    [final] ).

cnf(c_0_172,plain,
    ( k04_buttercup10419(esk25_0)
    | k04_buttercup10516(esk25_0) ),
    inference(spm,[status(thm)],[c_0_128,c_0_129]),
    [final] ).

cnf(c_0_173,negated_conjecture,
    ( ~ k04_buttercup10225(esk2_0)
    | ~ k04_buttercup10225(esk27_0) ),
    inference(spm,[status(thm)],[c_0_130,c_0_131]),
    [final] ).

cnf(c_0_174,negated_conjecture,
    ( b48_buttercup10519(esk2_0)
    | b48_buttercup10519(esk8_0) ),
    inference(spm,[status(thm)],[c_0_88,c_0_64]),
    [final] ).

cnf(c_0_175,plain,
    ( k04_buttercup10419(esk25_0)
    | b48_buttercup10417(esk25_0) ),
    inference(spm,[status(thm)],[c_0_132,c_0_129]),
    [final] ).

cnf(c_0_176,negated_conjecture,
    ( ~ k04_buttercup10225(esk2_0)
    | ~ k04_buttercup10225(esk20_0) ),
    inference(spm,[status(thm)],[c_0_133,c_0_131]),
    [final] ).

cnf(c_0_177,negated_conjecture,
    ( ~ k04_buttercup10225(esk2_0)
    | ~ k04_buttercup10225(esk9_0) ),
    inference(spm,[status(thm)],[c_0_134,c_0_131]),
    [final] ).

cnf(c_0_178,negated_conjecture,
    ( ~ k04_buttercup10225(esk1_0)
    | ~ k04_buttercup10225(esk2_0) ),
    inference(spm,[status(thm)],[c_0_135,c_0_131]),
    [final] ).

cnf(c_0_179,plain,
    ( ~ k04_buttercup10419(esk25_0)
    | ~ b48_buttercup10421(esk25_0) ),
    inference(split_conjunct,[status(thm)],[c_0_93]),
    [final] ).

cnf(c_0_180,plain,
    ~ k04_buttercup10225(esk14_0),
    inference(spm,[status(thm)],[c_0_136,c_0_137]),
    [final] ).

cnf(c_0_181,plain,
    ~ k04_buttercup10225(esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_100]),
    [final] ).

cnf(c_0_182,plain,
    ~ k04_buttercup10419(esk28_0),
    inference(split_conjunct,[status(thm)],[c_0_67]),
    [final] ).

cnf(c_0_183,plain,
    ~ k04_buttercup10419(esk15_0),
    inference(split_conjunct,[status(thm)],[c_0_99]),
    [final] ).

cnf(c_0_184,plain,
    ~ b48_buttercup10229(esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_43]),
    [final] ).

cnf(c_0_185,plain,
    ~ b48_buttercup10228(esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_110]),
    [final] ).

cnf(c_0_186,plain,
    ~ b48_buttercup10227(esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_45]),
    [final] ).

cnf(c_0_187,plain,
    ~ b48_buttercup10422(esk24_0),
    inference(split_conjunct,[status(thm)],[c_0_112]),
    [final] ).

cnf(c_0_188,plain,
    b48_buttercup10417(esk10_0),
    inference(spm,[status(thm)],[c_0_68,c_0_138]),
    [final] ).

cnf(c_0_189,plain,
    b48_buttercup10417(esk17_0),
    inference(spm,[status(thm)],[c_0_68,c_0_139]),
    [final] ).

cnf(c_0_190,plain,
    b48_buttercup10417(esk18_0),
    inference(spm,[status(thm)],[c_0_68,c_0_140]),
    [final] ).

cnf(c_0_191,plain,
    b48_buttercup10417(esk19_0),
    inference(spm,[status(thm)],[c_0_68,c_0_141]),
    [final] ).

cnf(c_0_192,plain,
    k04_buttercup10516(esk33_0),
    inference(spm,[status(thm)],[c_0_128,c_0_142]),
    [final] ).

cnf(c_0_193,plain,
    b48_buttercup10417(esk30_0),
    inference(spm,[status(thm)],[c_0_56,c_0_143]),
    [final] ).

cnf(c_0_194,plain,
    k04_buttercup10419(esk23_0),
    inference(spm,[status(thm)],[c_0_144,c_0_145]),
    [final] ).

cnf(c_0_195,plain,
    k04_buttercup10419(esk32_0),
    inference(spm,[status(thm)],[c_0_146,c_0_147]),
    [final] ).

cnf(c_0_196,plain,
    b48_buttercup10222(esk12_0),
    inference(spm,[status(thm)],[c_0_148,c_0_51]),
    [final] ).

cnf(c_0_197,plain,
    b48_buttercup10222(esk23_0),
    inference(spm,[status(thm)],[c_0_149,c_0_145]),
    [final] ).

cnf(c_0_198,plain,
    b48_buttercup10222(esk11_0),
    inference(spm,[status(thm)],[c_0_150,c_0_53]),
    [final] ).

cnf(c_0_199,plain,
    b48_buttercup10417(esk32_0),
    inference(spm,[status(thm)],[c_0_151,c_0_147]),
    [final] ).

cnf(c_0_200,plain,
    b48_buttercup10417(esk33_0),
    inference(spm,[status(thm)],[c_0_132,c_0_142]),
    [final] ).

cnf(c_0_201,plain,
    b48_buttercup10417(esk9_0),
    inference(spm,[status(thm)],[c_0_56,c_0_152]),
    [final] ).

cnf(c_0_202,plain,
    b48_buttercup10417(esk21_0),
    inference(spm,[status(thm)],[c_0_56,c_0_153]),
    [final] ).

cnf(c_0_203,plain,
    b48_buttercup10421(esk30_0),
    inference(spm,[status(thm)],[c_0_154,c_0_109]),
    [final] ).

cnf(c_0_204,plain,
    k04_buttercup10419(esk29_0),
    inference(split_conjunct,[status(thm)],[c_0_155]),
    [final] ).

cnf(c_0_205,plain,
    k04_buttercup10419(esk27_0),
    inference(split_conjunct,[status(thm)],[c_0_67]),
    [final] ).

cnf(c_0_206,plain,
    k04_buttercup10419(esk26_0),
    inference(split_conjunct,[status(thm)],[c_0_67]),
    [final] ).

cnf(c_0_207,plain,
    k04_buttercup10419(esk24_0),
    inference(split_conjunct,[status(thm)],[c_0_112]),
    [final] ).

cnf(c_0_208,plain,
    k04_buttercup10419(esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_110]),
    [final] ).

cnf(c_0_209,plain,
    k04_buttercup10419(esk14_0),
    inference(split_conjunct,[status(thm)],[c_0_99]),
    [final] ).

cnf(c_0_210,plain,
    k04_buttercup10419(esk13_0),
    inference(split_conjunct,[status(thm)],[c_0_99]),
    [final] ).

cnf(c_0_211,plain,
    b48_buttercup10222(esk16_0),
    inference(split_conjunct,[status(thm)],[c_0_156]),
    [final] ).

cnf(c_0_212,plain,
    b48_buttercup10222(esk15_0),
    inference(split_conjunct,[status(thm)],[c_0_99]),
    [final] ).

cnf(c_0_213,plain,
    b48_buttercup10222(esk13_0),
    inference(split_conjunct,[status(thm)],[c_0_99]),
    [final] ).

cnf(c_0_214,plain,
    b48_buttercup10222(esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_100]),
    [final] ).

cnf(c_0_215,plain,
    b48_buttercup10417(esk31_0),
    inference(split_conjunct,[status(thm)],[c_0_157]),
    [final] ).

cnf(c_0_216,plain,
    b48_buttercup10417(esk28_0),
    inference(split_conjunct,[status(thm)],[c_0_67]),
    [final] ).

cnf(c_0_217,plain,
    b48_buttercup10417(esk26_0),
    inference(split_conjunct,[status(thm)],[c_0_67]),
    [final] ).

cnf(c_0_218,plain,
    b48_buttercup10417(esk20_0),
    inference(split_conjunct,[status(thm)],[c_0_47]),
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYO582+1 : TPTP v8.1.0. Released v5.5.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n020.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Sep  5 14:19:44 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.46  Running first-order on 8 cores theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  # Version: 3.0pre003
% 0.19/0.48  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.48  # Starting sh5l with 300s (1) cores
% 0.19/0.48  # sh5l with pid 11609 completed with status 1
% 0.19/0.48  # Result found by sh5l
% 0.19/0.48  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.48  # Starting sh5l with 300s (1) cores
% 0.19/0.48  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.48  # ...ProofStateSinE()=38/38
% 0.19/0.48  # Search class: FGHNF-FFMM00-SFFFFFNN
% 0.19/0.48  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.48  # Starting H----_011_C07_F1_PI_AE_OS_S1U with 163s (1) cores
% 0.19/0.48  # H----_011_C07_F1_PI_AE_OS_S1U with pid 11617 completed with status 1
% 0.19/0.48  # Result found by H----_011_C07_F1_PI_AE_OS_S1U
% 0.19/0.48  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.48  # Starting sh5l with 300s (1) cores
% 0.19/0.48  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.48  # ...ProofStateSinE()=38/38
% 0.19/0.48  # Search class: FGHNF-FFMM00-SFFFFFNN
% 0.19/0.48  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.48  # Starting H----_011_C07_F1_PI_AE_OS_S1U with 163s (1) cores
% 0.19/0.48  # Preprocessing time       : 0.002 s
% 0.19/0.48  
% 0.19/0.48  # No proof found!
% 0.19/0.48  # SZS status CounterSatisfiable
% 0.19/0.48  # SZS output start Saturation
% See solution above
% 0.19/0.48  # Parsed axioms                        : 38
% 0.19/0.48  # Removed by relevancy pruning/SinE    : 0
% 0.19/0.48  # Initial clauses                      : 70
% 0.19/0.48  # Removed in clause preprocessing      : 0
% 0.19/0.48  # Initial clauses in saturation        : 70
% 0.19/0.48  # Processed clauses                    : 143
% 0.19/0.48  # ...of these trivial                  : 1
% 0.19/0.48  # ...subsumed                          : 7
% 0.19/0.48  # ...remaining for further processing  : 135
% 0.19/0.48  # Other redundant clauses eliminated   : 0
% 0.19/0.48  # Clauses deleted for lack of memory   : 0
% 0.19/0.48  # Backward-subsumed                    : 7
% 0.19/0.48  # Backward-rewritten                   : 0
% 0.19/0.48  # Generated clauses                    : 195
% 0.19/0.48  # ...of the previous two non-redundant : 93
% 0.19/0.48  # ...aggressively subsumed             : 0
% 0.19/0.48  # Contextual simplify-reflections      : 0
% 0.19/0.48  # Paramodulations                      : 195
% 0.19/0.48  # Factorizations                       : 0
% 0.19/0.48  # NegExts                              : 0
% 0.19/0.48  # Equation resolutions                 : 0
% 0.19/0.48  # Propositional unsat checks           : 0
% 0.19/0.48  #    Propositional check models        : 0
% 0.19/0.48  #    Propositional check unsatisfiable : 0
% 0.19/0.48  #    Propositional clauses             : 0
% 0.19/0.48  #    Propositional clauses after purity: 0
% 0.19/0.48  #    Propositional unsat core size     : 0
% 0.19/0.48  #    Propositional preprocessing time  : 0.000
% 0.19/0.48  #    Propositional encoding time       : 0.000
% 0.19/0.48  #    Propositional solver time         : 0.000
% 0.19/0.48  #    Success case prop preproc time    : 0.000
% 0.19/0.48  #    Success case prop encoding time   : 0.000
% 0.19/0.48  #    Success case prop solver time     : 0.000
% 0.19/0.48  # Current number of processed clauses  : 128
% 0.19/0.48  #    Positive orientable unit clauses  : 55
% 0.19/0.48  #    Positive unorientable unit clauses: 0
% 0.19/0.48  #    Negative unit clauses             : 16
% 0.19/0.48  #    Non-unit-clauses                  : 57
% 0.19/0.48  # Current number of unprocessed clauses: 0
% 0.19/0.48  # ...number of literals in the above   : 0
% 0.19/0.48  # Current number of archived formulas  : 0
% 0.19/0.48  # Current number of archived clauses   : 7
% 0.19/0.48  # Clause-clause subsumption calls (NU) : 514
% 0.19/0.48  # Rec. Clause-clause subsumption calls : 382
% 0.19/0.48  # Non-unit clause-clause subsumptions  : 14
% 0.19/0.48  # Unit Clause-clause subsumption calls : 109
% 0.19/0.48  # Rewrite failures with RHS unbound    : 0
% 0.19/0.48  # BW rewrite match attempts            : 0
% 0.19/0.48  # BW rewrite match successes           : 0
% 0.19/0.48  # Condensation attempts                : 0
% 0.19/0.48  # Condensation successes               : 0
% 0.19/0.48  # Termbank termtop insertions          : 4242
% 0.19/0.48  
% 0.19/0.48  # -------------------------------------------------
% 0.19/0.48  # User time                : 0.010 s
% 0.19/0.48  # System time              : 0.002 s
% 0.19/0.48  # Total time               : 0.013 s
% 0.19/0.48  # Maximum resident set size: 1932 pages
% 0.19/0.48  
% 0.19/0.48  # -------------------------------------------------
% 0.19/0.48  # User time                : 0.010 s
% 0.19/0.48  # System time              : 0.006 s
% 0.19/0.48  # Total time               : 0.017 s
% 0.19/0.48  # Maximum resident set size: 1772 pages
%------------------------------------------------------------------------------