TSTP Solution File: PHI005^4 by E---3.1.00

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%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : PHI005^4 : TPTP v8.2.0. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 02:18:06 EDT 2024

% Result   : Theorem 18.75s 2.82s
% Output   : CNFRefutation 18.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  119 (  31 unt;  25 typ;   0 def)
%            Number of atoms       :  222 (  27 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  809 ( 122   ~;  86   |;  12   &; 570   @)
%                                         (   3 <=>;  15  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   21 (   8 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :  192 ( 192   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   26 (  23 usr;  10 con; 0-5 aty)
%            Number of variables   :  286 (  95   ^ 187   !;   4   ?; 286   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_sort1,type,
    qML_mu: $tType ).

thf(decl_sort2,type,
    qML_i: $tType ).

thf(decl_22,type,
    scott_G: qML_mu > qML_i > $o ).

thf(decl_23,type,
    scott_NE_QML_mu: qML_mu > qML_i > $o ).

thf(decl_24,type,
    scott_P: ( qML_mu > qML_i > $o ) > qML_i > $o ).

thf(decl_25,type,
    scott_ess_QML_mu: ( qML_mu > qML_i > $o ) > qML_mu > qML_i > $o ).

thf(decl_26,type,
    epred1_2: qML_mu > qML_i > qML_mu > qML_i > $o ).

thf(decl_27,type,
    esk1_3: qML_i > ( qML_mu > qML_i > $o ) > ( qML_mu > qML_i > $o ) > qML_i ).

thf(decl_28,type,
    esk2_3: qML_i > ( qML_mu > qML_i > $o ) > ( qML_mu > qML_i > $o ) > qML_mu ).

thf(decl_29,type,
    epred2_3: ( qML_mu > qML_i > $o ) > qML_mu > qML_i > qML_mu > qML_i > $o ).

thf(decl_30,type,
    esk3_3: ( qML_mu > qML_i > $o ) > qML_mu > qML_i > qML_i ).

thf(decl_31,type,
    esk4_3: ( qML_mu > qML_i > $o ) > qML_mu > qML_i > qML_mu ).

thf(decl_32,type,
    esk5_4: qML_mu > qML_i > ( qML_mu > qML_i > $o ) > qML_i > qML_mu ).

thf(decl_33,type,
    epred3_2: qML_mu > qML_i > qML_mu > qML_i > $o ).

thf(decl_34,type,
    esk6_2: qML_mu > qML_i > qML_i ).

thf(decl_35,type,
    esk7_0: qML_i ).

thf(decl_72,type,
    esk44_0: qML_mu ).

thf(decl_74,type,
    esk46_0: qML_i ).

thf(decl_85,type,
    esk57_0: qML_mu ).

thf(decl_87,type,
    esk59_0: qML_i ).

thf(decl_113,type,
    esk85_1: ( qML_mu > qML_i > $o ) > qML_mu ).

thf(decl_114,type,
    esk86_1: ( qML_mu > qML_i > $o ) > qML_i ).

thf(decl_475,type,
    esk447_0: qML_mu ).

thf(decl_477,type,
    esk449_0: qML_i ).

thf(decl_1344,type,
    esk1316_0: qML_i ).

thf(fact_7_A1a,axiom,
    ! [X5: qML_i,X6: qML_mu > qML_i > $o] :
      ( ( scott_P
        @ ^ [X15: qML_mu,X8: qML_i] :
            ~ ( X6 @ X15 @ X8 )
        @ X5 )
     => ~ ( scott_P @ X6 @ X5 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_A1a) ).

thf(fact_4_A2,axiom,
    ! [X5: qML_i,X6: qML_mu > qML_i > $o,X9: qML_mu > qML_i > $o] :
      ( ( ( scott_P @ X6 @ X5 )
        & ! [X10: qML_i,X11: qML_mu] :
            ( ( X6 @ X11 @ X10 )
           => ( X9 @ X11 @ X10 ) ) )
     => ( scott_P @ X9 @ X5 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_A2) ).

thf(fact_1_A3,axiom,
    ! [X4: qML_i] : ( scott_P @ scott_G @ X4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_A3) ).

thf(fact_3_A1b,axiom,
    ! [X5: qML_i,X6: qML_mu > qML_i > $o] :
      ( ~ ( scott_P @ X6 @ X5 )
     => ( scott_P
        @ ^ [X7: qML_mu,X8: qML_i] :
            ~ ( X6 @ X7 @ X8 )
        @ X5 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_A1b) ).

thf(fact_0_G__def,axiom,
    ( scott_G
    = ( ^ [X1: qML_mu,X2: qML_i] :
        ! [X3: qML_mu > qML_i > $o] :
          ( ( scott_P @ X3 @ X2 )
         => ( X3 @ X1 @ X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_G__def) ).

thf(fact_2_A4,axiom,
    ! [X5: qML_i,X6: qML_mu > qML_i > $o] :
      ( ( scott_P @ X6 @ X5 )
     => ! [X4: qML_i] : ( scott_P @ X6 @ X4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_A4) ).

thf(fact_6_ess__def,axiom,
    ( scott_ess_QML_mu
    = ( ^ [X12: qML_mu > qML_i > $o,X1: qML_mu,X2: qML_i] :
          ( ( X12 @ X1 @ X2 )
          & ! [X3: qML_mu > qML_i > $o] :
              ( ( X3 @ X1 @ X2 )
             => ! [X13: qML_i,X14: qML_mu] :
                  ( ( X12 @ X14 @ X13 )
                 => ( X3 @ X14 @ X13 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_ess__def) ).

thf(fact_5_A5,axiom,
    ! [X4: qML_i] : ( scott_P @ scott_NE_QML_mu @ X4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_A5) ).

thf(fact_8_NE__def,axiom,
    ( scott_NE_QML_mu
    = ( ^ [X1: qML_mu,X2: qML_i] :
        ! [X3: qML_mu > qML_i > $o] :
          ( ( scott_ess_QML_mu @ X3 @ X1 @ X2 )
         => ! [X13: qML_i] :
            ? [X16: qML_mu] : ( X3 @ X16 @ X13 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_NE__def) ).

thf(conj_0,conjecture,
    ! [X17: qML_i,X10: qML_i] :
    ? [X18: qML_mu] : ( scott_G @ X18 @ X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

thf(c_0_10,plain,
    ! [X5: qML_i,X6: qML_mu > qML_i > $o] :
      ( ( scott_P
        @ ^ [Z0: qML_mu,Z1: qML_i] :
            ~ ( X6 @ Z0 @ Z1 )
        @ X5 )
     => ~ ( scott_P @ X6 @ X5 ) ),
    inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_7_A1a])]) ).

thf(c_0_11,plain,
    ! [X55: qML_i,X56: qML_mu > qML_i > $o,X57: qML_mu > qML_i > $o] :
      ( ( ( X56 @ ( esk2_3 @ X55 @ X56 @ X57 ) @ ( esk1_3 @ X55 @ X56 @ X57 ) )
        | ~ ( scott_P @ X56 @ X55 )
        | ( scott_P @ X57 @ X55 ) )
      & ( ~ ( X57 @ ( esk2_3 @ X55 @ X56 @ X57 ) @ ( esk1_3 @ X55 @ X56 @ X57 ) )
        | ~ ( scott_P @ X56 @ X55 )
        | ( scott_P @ X57 @ X55 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_4_A2])])])])]) ).

thf(c_0_12,plain,
    ! [X73: qML_i,X74: qML_mu > qML_i > $o] :
      ( ~ ( scott_P
          @ ^ [Z0: qML_mu,Z1: qML_i] :
              ~ ( X74 @ Z0 @ Z1 )
          @ X73 )
      | ~ ( scott_P @ X74 @ X73 ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).

thf(c_0_13,plain,
    ! [X6: qML_mu > qML_i > $o,X3: qML_mu > qML_i > $o,X2: qML_i] :
      ( ( scott_P @ X3 @ X2 )
      | ~ ( X3 @ ( esk2_3 @ X2 @ X6 @ X3 ) @ ( esk1_3 @ X2 @ X6 @ X3 ) )
      | ~ ( scott_P @ X6 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

thf(c_0_14,plain,
    ! [X3: qML_mu > qML_i > $o,X2: qML_i] :
      ( ~ ( scott_P
          @ ^ [Z0: qML_mu,Z1: qML_i] :
              ~ ( X3 @ Z0 @ Z1 )
          @ X2 )
      | ~ ( scott_P @ X3 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

thf(c_0_15,plain,
    ! [X3: qML_mu > qML_i > $o,X2: qML_i] :
      ( ( scott_P
        @ ^ [Z0: qML_mu,Z1: qML_i] : $true
        @ X2 )
      | ~ ( scott_P @ X3 @ X2 ) ),
    inference(primitive_enumeration,[status(thm)],[c_0_13]) ).

thf(c_0_16,plain,
    ! [X49: qML_i] : ( scott_P @ scott_G @ X49 ),
    inference(variable_rename,[status(thm)],[fact_1_A3]) ).

thf(c_0_17,plain,
    ! [X5: qML_i,X6: qML_mu > qML_i > $o] :
      ( ~ ( scott_P @ X6 @ X5 )
     => ( scott_P
        @ ^ [Z0: qML_mu,Z1: qML_i] :
            ~ ( X6 @ Z0 @ Z1 )
        @ X5 ) ),
    inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_3_A1b])]) ).

thf(c_0_18,plain,
    ! [X6: qML_mu > qML_i > $o,X3: qML_mu > qML_i > $o,X2: qML_i] :
      ( ( ( ^ [Z0: qML_mu,Z1: qML_i] :
              ~ ( X3 @ Z0 @ Z1 ) )
       != ( ^ [Z0: qML_mu,Z1: qML_i] : $true ) )
      | ~ ( scott_P @ X3 @ X2 )
      | ~ ( scott_P @ X6 @ X2 ) ),
    inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_14,c_0_15])]) ).

thf(c_0_19,plain,
    ! [X2: qML_i] : ( scott_P @ scott_G @ X2 ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_20,plain,
    ! [X53: qML_i,X54: qML_mu > qML_i > $o] :
      ( ( scott_P @ X54 @ X53 )
      | ( scott_P
        @ ^ [Z0: qML_mu,Z1: qML_i] :
            ~ ( X54 @ Z0 @ Z1 )
        @ X53 ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])]) ).

thf(c_0_21,plain,
    ! [X36: qML_mu,X37: qML_i] :
      ( ( scott_G @ X36 @ X37 )
    <=> ! [X3: qML_mu > qML_i > $o] :
          ( ( scott_P @ X3 @ X37 )
         => ( X3 @ X36 @ X37 ) ) ),
    inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_0_G__def])]) ).

thf(c_0_22,plain,
    ! [X50: qML_i,X51: qML_mu > qML_i > $o,X52: qML_i] :
      ( ~ ( scott_P @ X51 @ X50 )
      | ( scott_P @ X51 @ X52 ) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_2_A4])])])]) ).

thf(c_0_23,plain,
    ! [X3: qML_mu > qML_i > $o,X2: qML_i] :
      ( ( ( ^ [Z0: qML_mu,Z1: qML_i] :
              ~ ( scott_G @ Z0 @ Z1 ) )
       != ( ^ [Z0: qML_mu,Z1: qML_i] : $true ) )
      | ~ ( scott_P @ X3 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

thf(c_0_24,plain,
    ! [X38: qML_mu > qML_i > $o,X39: qML_mu,X40: qML_i] :
      ( ( scott_ess_QML_mu @ X38 @ X39 @ X40 )
    <=> ( ( X38 @ X39 @ X40 )
        & ! [X3: qML_mu > qML_i > $o] :
            ( ( X3 @ X39 @ X40 )
           => ! [X13: qML_i,X14: qML_mu] :
                ( ( X38 @ X14 @ X13 )
               => ( X3 @ X14 @ X13 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_6_ess__def])]) ).

thf(c_0_25,plain,
    ! [X3: qML_mu > qML_i > $o,X2: qML_i] :
      ( ( scott_P @ X3 @ X2 )
      | ( scott_P
        @ ^ [Z0: qML_mu,Z1: qML_i] :
            ~ ( X3 @ Z0 @ Z1 )
        @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

thf(c_0_26,plain,
    ! [X60: qML_i] : ( scott_P @ scott_NE_QML_mu @ X60 ),
    inference(variable_rename,[status(thm)],[fact_5_A5]) ).

thf(c_0_27,plain,
    ! [X43: qML_mu,X44: qML_i,X45: qML_mu > qML_i > $o,X46: qML_mu,X47: qML_i] :
      ( ( ~ ( scott_G @ X43 @ X44 )
        | ~ ( scott_P @ X45 @ X44 )
        | ( X45 @ X43 @ X44 ) )
      & ( ( scott_P @ ( epred1_2 @ X46 @ X47 ) @ X47 )
        | ( scott_G @ X46 @ X47 ) )
      & ( ~ ( epred1_2 @ X46 @ X47 @ X46 @ X47 )
        | ( scott_G @ X46 @ X47 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])])])])]) ).

thf(c_0_28,plain,
    ! [X4: qML_i,X3: qML_mu > qML_i > $o,X2: qML_i] :
      ( ( scott_P @ X3 @ X4 )
      | ~ ( scott_P @ X3 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

thf(c_0_29,plain,
    ! [X3: qML_mu > qML_i > $o,X2: qML_i] :
      ( ( ( ^ [Z0: qML_i] :
              ~ ( scott_G @ esk57_0 @ Z0 ) )
       != ( ^ [Z0: qML_i] : $true ) )
      | ~ ( scott_P @ X3 @ X2 ) ),
    inference(neg_ext,[status(thm)],[c_0_23]) ).

thf(c_0_30,plain,
    ! [X61: qML_mu > qML_i > $o,X62: qML_mu,X63: qML_i,X64: qML_mu > qML_i > $o,X65: qML_i,X66: qML_mu,X67: qML_mu > qML_i > $o,X68: qML_mu,X69: qML_i] :
      ( ( ( X61 @ X62 @ X63 )
        | ~ ( scott_ess_QML_mu @ X61 @ X62 @ X63 ) )
      & ( ~ ( X64 @ X62 @ X63 )
        | ~ ( X61 @ X66 @ X65 )
        | ( X64 @ X66 @ X65 )
        | ~ ( scott_ess_QML_mu @ X61 @ X62 @ X63 ) )
      & ( ( epred2_3 @ X67 @ X68 @ X69 @ X68 @ X69 )
        | ~ ( X67 @ X68 @ X69 )
        | ( scott_ess_QML_mu @ X67 @ X68 @ X69 ) )
      & ( ( X67 @ ( esk4_3 @ X67 @ X68 @ X69 ) @ ( esk3_3 @ X67 @ X68 @ X69 ) )
        | ~ ( X67 @ X68 @ X69 )
        | ( scott_ess_QML_mu @ X67 @ X68 @ X69 ) )
      & ( ~ ( epred2_3 @ X67 @ X68 @ X69 @ ( esk4_3 @ X67 @ X68 @ X69 ) @ ( esk3_3 @ X67 @ X68 @ X69 ) )
        | ~ ( X67 @ X68 @ X69 )
        | ( scott_ess_QML_mu @ X67 @ X68 @ X69 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])])])])]) ).

thf(c_0_31,plain,
    ! [X6: qML_mu > qML_i > $o,X3: qML_mu > qML_i > $o,X2: qML_i] :
      ( ( scott_P
        @ ^ [Z0: qML_mu,Z1: qML_i] :
            ~ ( X3 @ Z0 @ Z1 )
        @ X2 )
      | ( ( ^ [Z0: qML_mu,Z1: qML_i] :
              ~ ( X3 @ Z0 @ Z1 ) )
       != ( ^ [Z0: qML_mu,Z1: qML_i] : $true ) )
      | ~ ( scott_P @ X6 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_25]) ).

thf(c_0_32,plain,
    ! [X2: qML_i] : ( scott_P @ scott_NE_QML_mu @ X2 ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

thf(c_0_33,plain,
    ! [X1: qML_mu,X3: qML_mu > qML_i > $o,X2: qML_i] :
      ( ( X3 @ X1 @ X2 )
      | ~ ( scott_G @ X1 @ X2 )
      | ~ ( scott_P @ X3 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

thf(c_0_34,plain,
    ! [X2: qML_i,X3: qML_mu > qML_i > $o,X4: qML_i] :
      ( ( scott_P
        @ ^ [Z0: qML_mu,Z1: qML_i] :
            ~ ( X3 @ Z0 @ Z1 )
        @ X2 )
      | ( scott_P @ X3 @ X4 ) ),
    inference(spm,[status(thm)],[c_0_28,c_0_25]) ).

thf(c_0_35,plain,
    ! [X3: qML_mu > qML_i > $o,X2: qML_i] :
      ( ( scott_G @ esk57_0 @ esk59_0 )
      | ~ ( scott_P @ X3 @ X2 ) ),
    inference(cn,[status(thm)],[inference(neg_ext,[status(thm)],[c_0_29])]) ).

thf(c_0_36,plain,
    ! [X1: qML_mu,X3: qML_mu > qML_i > $o,X2: qML_i] :
      ( ( X3 @ X1 @ X2 )
      | ~ ( scott_ess_QML_mu @ X3 @ X1 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

thf(c_0_37,plain,
    ! [X2: qML_i,X3: qML_mu > qML_i > $o] :
      ( ( scott_P
        @ ^ [Z0: qML_mu,Z1: qML_i] :
            ~ ( X3 @ Z0 @ Z1 )
        @ X2 )
      | ( ( ^ [Z0: qML_mu,Z1: qML_i] :
              ~ ( X3 @ Z0 @ Z1 ) )
       != ( ^ [Z0: qML_mu,Z1: qML_i] : $true ) ) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

thf(c_0_38,plain,
    ! [X1: qML_mu,X3: qML_mu > qML_i > $o,X2: qML_i,X4: qML_i] :
      ( ( scott_P @ X3 @ X2 )
      | ~ ( scott_G @ X1 @ X4 )
      | ~ ( X3 @ X1 @ X4 ) ),
    inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34])]) ).

thf(c_0_39,plain,
    scott_G @ esk57_0 @ esk59_0,
    inference(spm,[status(thm)],[c_0_35,c_0_32]) ).

thf(c_0_40,plain,
    ! [X1: qML_mu,X3: qML_mu > qML_i > $o,X2: qML_i] :
      ( ( epred2_3 @ X3 @ X1 @ X2 @ X1 @ X2 )
      | ( scott_ess_QML_mu @ X3 @ X1 @ X2 )
      | ~ ( X3 @ X1 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

thf(c_0_41,plain,
    ! [X1: qML_mu,X2: qML_i] :
      ~ ( scott_ess_QML_mu
        @ ^ [Z0: qML_mu,Z1: qML_i] : ~ $true
        @ X1
        @ X2 ),
    inference(primitive_enumeration,[status(thm)],[c_0_36]) ).

thf(c_0_42,plain,
    ! [X3: qML_mu > qML_i > $o,X2: qML_i] :
      ( ( X3 @ ( esk85_1 @ X3 ) @ ( esk86_1 @ X3 ) )
      | ( scott_P
        @ ^ [Z0: qML_mu,Z1: qML_i] :
            ~ ( X3 @ Z0 @ Z1 )
        @ X2 ) ),
    inference(cn,[status(thm)],[inference(neg_ext,[status(thm)],[c_0_37])]) ).

thf(c_0_43,plain,
    ! [X2: qML_i,X3: qML_mu > qML_i > $o] :
      ( ( scott_P @ X3 @ X2 )
      | ~ ( X3 @ esk57_0 @ esk59_0 ) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

thf(c_0_44,plain,
    ( ( epred2_3 @ scott_G @ esk57_0 @ esk59_0 @ esk57_0 @ esk59_0 )
    | ( scott_ess_QML_mu @ scott_G @ esk57_0 @ esk59_0 ) ),
    inference(spm,[status(thm)],[c_0_40,c_0_39]) ).

thf(c_0_45,plain,
    ! [X3: qML_mu > qML_i > $o,X2: qML_i] :
      ( ( ( ^ [Z0: qML_mu,Z1: qML_i] :
              ~ ( X3 @ Z0 @ Z1 ) )
       != scott_G )
      | ~ ( scott_P @ X3 @ X2 ) ),
    inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_14,c_0_19])]) ).

thf(c_0_46,plain,
    ! [X2: qML_i] :
      ( scott_P
      @ ^ [Z0: qML_mu,Z1: qML_i] :
          ~ ( scott_ess_QML_mu
            @ ^ [Z2: qML_mu,Z3: qML_i] : ~ $true
            @ Z0
            @ Z1 )
      @ X2 ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

thf(c_0_47,plain,
    ! [X2: qML_i] :
      ( ( scott_P @ ( epred2_3 @ scott_G @ esk57_0 @ esk59_0 ) @ X2 )
      | ( scott_ess_QML_mu @ scott_G @ esk57_0 @ esk59_0 ) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

thf(c_0_48,plain,
    ! [X1: qML_mu,X3: qML_mu > qML_i > $o,X2: qML_i] :
      ( ( X3 @ ( esk4_3 @ X3 @ X1 @ X2 ) @ ( esk3_3 @ X3 @ X1 @ X2 ) )
      | ( scott_ess_QML_mu @ X3 @ X1 @ X2 )
      | ~ ( X3 @ X1 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

thf(c_0_49,plain,
    ( ( ^ [Z0: qML_mu,Z1: qML_i] :
          ( scott_ess_QML_mu
          @ ^ [Z2: qML_mu,Z3: qML_i] : ~ $true
          @ Z0
          @ Z1 ) )
   != scott_G ),
    inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46])]) ).

thf(c_0_50,plain,
    ! [X1: qML_mu,X2: qML_i] :
      ( ( epred2_3 @ scott_G @ esk57_0 @ esk59_0 @ X1 @ X2 )
      | ( scott_ess_QML_mu @ scott_G @ esk57_0 @ esk59_0 )
      | ~ ( scott_G @ X1 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_33,c_0_47]) ).

thf(c_0_51,plain,
    ( ( scott_G @ ( esk4_3 @ scott_G @ esk57_0 @ esk59_0 ) @ ( esk3_3 @ scott_G @ esk57_0 @ esk59_0 ) )
    | ( scott_ess_QML_mu @ scott_G @ esk57_0 @ esk59_0 ) ),
    inference(spm,[status(thm)],[c_0_48,c_0_39]) ).

thf(c_0_52,plain,
    ( ( scott_ess_QML_mu
      @ ^ [Z0: qML_mu,Z1: qML_i] : ~ $true
      @ esk447_0 )
   != ( scott_G @ esk447_0 ) ),
    inference(neg_ext,[status(thm)],[c_0_49]) ).

thf(c_0_53,plain,
    ! [X1: qML_mu,X3: qML_mu > qML_i > $o,X7: qML_mu,X6: qML_mu > qML_i > $o,X4: qML_i,X2: qML_i] :
      ( ( X3 @ X7 @ X4 )
      | ~ ( X3 @ X1 @ X2 )
      | ~ ( X6 @ X7 @ X4 )
      | ~ ( scott_ess_QML_mu @ X6 @ X1 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

thf(c_0_54,plain,
    ! [X1: qML_mu,X3: qML_mu > qML_i > $o,X2: qML_i] :
      ( ( scott_ess_QML_mu @ X3 @ X1 @ X2 )
      | ~ ( epred2_3 @ X3 @ X1 @ X2 @ ( esk4_3 @ X3 @ X1 @ X2 ) @ ( esk3_3 @ X3 @ X1 @ X2 ) )
      | ~ ( X3 @ X1 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

thf(c_0_55,plain,
    ( ( epred2_3 @ scott_G @ esk57_0 @ esk59_0 @ ( esk4_3 @ scott_G @ esk57_0 @ esk59_0 ) @ ( esk3_3 @ scott_G @ esk57_0 @ esk59_0 ) )
    | ( scott_ess_QML_mu @ scott_G @ esk57_0 @ esk59_0 ) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

thf(c_0_56,plain,
    ( ( scott_ess_QML_mu
      @ ^ [Z0: qML_mu,Z1: qML_i] : ~ $true
      @ esk447_0
      @ esk449_0 )
  <~> ( scott_G @ esk447_0 @ esk449_0 ) ),
    inference(neg_ext,[status(thm)],[c_0_52]) ).

thf(c_0_57,plain,
    ! [X1: qML_mu,X2: qML_i,X3: qML_mu > qML_i > $o,X7: qML_mu,X4: qML_i] :
      ( ( X1 = X7 )
      | ~ ( scott_ess_QML_mu @ X3 @ X1 @ X2 )
      | ~ ( X3 @ X7 @ X4 ) ),
    inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]),c_0_53]) ).

thf(c_0_58,plain,
    scott_ess_QML_mu @ scott_G @ esk57_0 @ esk59_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_39])]) ).

thf(c_0_59,plain,
    ( ( scott_ess_QML_mu
      @ ^ [Z0: qML_mu,Z1: qML_i] : ~ $true
      @ esk447_0
      @ esk449_0 )
    | ( scott_G @ esk447_0 @ esk449_0 ) ),
    inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_56])]) ).

thf(c_0_60,plain,
    ! [X2: qML_i] :
      ( scott_P
      @ ^ [Z0: qML_mu,Z1: qML_i] : $true
      @ X2 ),
    inference(spm,[status(thm)],[c_0_15,c_0_32]) ).

thf(c_0_61,plain,
    ! [X1: qML_mu,X2: qML_i] :
      ( ( esk57_0 = X1 )
      | ~ ( scott_G @ X1 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

thf(c_0_62,plain,
    scott_G @ esk447_0 @ esk449_0,
    inference(spm,[status(thm)],[c_0_36,c_0_59]) ).

thf(c_0_63,plain,
    ( ( ^ [Z0: qML_mu,Z1: qML_i] : ~ $true )
   != scott_G ),
    inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_60])]) ).

thf(c_0_64,plain,
    ! [X1: qML_mu,X3: qML_mu > qML_i > $o,X2: qML_i] :
      ( ( scott_P
        @ ^ [Z0: qML_mu,Z1: qML_i] :
            ~ ( X3 @ Z0 @ Z1 )
        @ X2 )
      | ( X3 @ X1 @ X2 )
      | ~ ( scott_G @ X1 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_33,c_0_25]) ).

thf(c_0_65,plain,
    esk57_0 = esk447_0,
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

thf(c_0_66,plain,
    ( ( ^ [Z0: qML_i] : ~ $true )
   != ( scott_G @ esk44_0 ) ),
    inference(neg_ext,[status(thm)],[c_0_63]) ).

thf(c_0_67,plain,
    ! [X1: qML_mu,X6: qML_mu > qML_i > $o,X3: qML_mu > qML_i > $o,X2: qML_i] :
      ( ( X3 @ X1 @ X2 )
      | ( ( ^ [Z0: qML_mu,Z1: qML_i] :
              ~ ( X6 @ Z0 @ Z1 ) )
       != ( ^ [Z0: qML_mu,Z1: qML_i] :
              ~ ( X3 @ Z0 @ Z1 ) ) )
      | ~ ( scott_P @ X6 @ X2 )
      | ~ ( scott_G @ X1 @ X2 ) ),
    inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_14,c_0_64])]) ).

thf(c_0_68,plain,
    ! [X1: qML_mu,X2: qML_i,X3: qML_mu > qML_i > $o,X7: qML_mu,X4: qML_i] :
      ( ( X2 = X4 )
      | ~ ( scott_ess_QML_mu @ X3 @ X1 @ X2 )
      | ~ ( X3 @ X7 @ X4 ) ),
    inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]),c_0_53]) ).

thf(c_0_69,plain,
    scott_ess_QML_mu @ scott_G @ esk447_0 @ esk59_0,
    inference(rw,[status(thm)],[c_0_58,c_0_65]) ).

thf(c_0_70,plain,
    ! [X1: qML_mu,X2: qML_i] :
      ( ( esk447_0 = X1 )
      | ~ ( scott_G @ X1 @ X2 ) ),
    inference(rw,[status(thm)],[c_0_61,c_0_65]) ).

thf(c_0_71,plain,
    scott_G @ esk44_0 @ esk46_0,
    inference(neg_ext,[status(thm)],[c_0_66]) ).

thf(c_0_72,plain,
    ! [X3: qML_mu > qML_i > $o,X2: qML_i,X1: qML_mu,X6: qML_mu > qML_i > $o,X4: qML_i] :
      ( ( scott_P
        @ ^ [Z0: qML_mu,Z1: qML_i] :
            ~ ( X3 @ Z0 @ Z1 )
        @ X2 )
      | ( X6 @ X1 @ X4 )
      | ( ( ^ [Z0: qML_mu,Z1: qML_i] :
              ~ ( X3 @ Z0 @ Z1 ) )
       != ( ^ [Z0: qML_mu,Z1: qML_i] :
              ~ ( X6 @ Z0 @ Z1 ) ) )
      | ~ ( scott_G @ X1 @ X4 ) ),
    inference(spm,[status(thm)],[c_0_67,c_0_34]) ).

thf(c_0_73,plain,
    ! [X1: qML_mu,X2: qML_i] :
      ( ( esk59_0 = X2 )
      | ~ ( scott_G @ X1 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

thf(c_0_74,plain,
    esk44_0 = esk447_0,
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

thf(c_0_75,plain,
    ! [X2: qML_i,X3: qML_mu > qML_i > $o,X6: qML_mu > qML_i > $o] :
      ( ( scott_P
        @ ^ [Z0: qML_mu,Z1: qML_i] :
            ~ ( X3 @ Z0 @ Z1 )
        @ X2 )
      | ( X6 @ esk57_0 @ esk59_0 )
      | ( ( ^ [Z0: qML_mu,Z1: qML_i] :
              ~ ( X3 @ Z0 @ Z1 ) )
       != ( ^ [Z0: qML_mu,Z1: qML_i] :
              ~ ( X6 @ Z0 @ Z1 ) ) ) ),
    inference(spm,[status(thm)],[c_0_72,c_0_39]) ).

thf(c_0_76,plain,
    esk59_0 = esk449_0,
    inference(spm,[status(thm)],[c_0_73,c_0_62]) ).

thf(c_0_77,plain,
    ( ( ^ [Z0: qML_i] : ~ $true )
   != ( scott_G @ esk447_0 ) ),
    inference(rw,[status(thm)],[c_0_66,c_0_74]) ).

thf(c_0_78,plain,
    ! [X2: qML_i,X3: qML_mu > qML_i > $o] :
      ( ( scott_P
        @ ^ [Z0: qML_mu,Z1: qML_i] :
            ~ ( X3 @ Z0 @ Z1 )
        @ X2 )
      | ( X3 @ esk57_0 @ esk59_0 ) ),
    inference(er,[status(thm)],[c_0_75]) ).

thf(c_0_79,plain,
    ! [X41: qML_mu,X42: qML_i] :
      ( ( scott_NE_QML_mu @ X41 @ X42 )
    <=> ! [X3: qML_mu > qML_i > $o] :
          ( ( scott_ess_QML_mu @ X3 @ X41 @ X42 )
         => ! [X13: qML_i] :
            ? [X16: qML_mu] : ( X3 @ X16 @ X13 ) ) ),
    inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_8_NE__def])]) ).

thf(c_0_80,plain,
    ! [X1: qML_mu,X2: qML_i] :
      ( ( esk449_0 = X2 )
      | ~ ( scott_G @ X1 @ X2 ) ),
    inference(rw,[status(thm)],[c_0_73,c_0_76]) ).

thf(c_0_81,plain,
    scott_G @ esk447_0 @ esk1316_0,
    inference(neg_ext,[status(thm)],[c_0_77]) ).

thf(c_0_82,plain,
    ! [X3: qML_mu > qML_i > $o,X2: qML_i] :
      ( ( X3 @ esk57_0 @ esk59_0 )
      | ~ ( scott_P @ X3 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_14,c_0_78]) ).

thf(c_0_83,negated_conjecture,
    ~ ! [X17: qML_i,X10: qML_i] :
      ? [X18: qML_mu] : ( scott_G @ X18 @ X10 ),
    inference(assume_negation,[status(cth)],[conj_0]) ).

thf(c_0_84,plain,
    ! [X75: qML_mu,X76: qML_i,X77: qML_mu > qML_i > $o,X78: qML_i,X80: qML_mu,X81: qML_i,X84: qML_mu] :
      ( ( ~ ( scott_NE_QML_mu @ X75 @ X76 )
        | ~ ( scott_ess_QML_mu @ X77 @ X75 @ X76 )
        | ( X77 @ ( esk5_4 @ X75 @ X76 @ X77 @ X78 ) @ X78 ) )
      & ( ( scott_ess_QML_mu @ ( epred3_2 @ X80 @ X81 ) @ X80 @ X81 )
        | ( scott_NE_QML_mu @ X80 @ X81 ) )
      & ( ~ ( epred3_2 @ X80 @ X81 @ X84 @ ( esk6_2 @ X80 @ X81 ) )
        | ( scott_NE_QML_mu @ X80 @ X81 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_79])])])])])])]) ).

thf(c_0_85,plain,
    esk449_0 = esk1316_0,
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

thf(c_0_86,plain,
    scott_NE_QML_mu @ esk57_0 @ esk59_0,
    inference(spm,[status(thm)],[c_0_82,c_0_32]) ).

thf(c_0_87,negated_conjecture,
    ! [X86: qML_mu] :
      ~ ( scott_G @ X86 @ esk7_0 ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_83])])])])]) ).

thf(c_0_88,plain,
    ! [X1: qML_mu,X4: qML_i,X3: qML_mu > qML_i > $o,X2: qML_i] :
      ( ( X3 @ ( esk5_4 @ X1 @ X2 @ X3 @ X4 ) @ X4 )
      | ~ ( scott_NE_QML_mu @ X1 @ X2 )
      | ~ ( scott_ess_QML_mu @ X3 @ X1 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_84]) ).

thf(c_0_89,plain,
    scott_ess_QML_mu @ scott_G @ esk447_0 @ esk1316_0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_76]),c_0_85]) ).

thf(c_0_90,plain,
    scott_NE_QML_mu @ esk447_0 @ esk1316_0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_65]),c_0_76]),c_0_85]) ).

thf(c_0_91,negated_conjecture,
    ! [X1: qML_mu] :
      ~ ( scott_G @ X1 @ esk7_0 ),
    inference(split_conjunct,[status(thm)],[c_0_87]) ).

thf(c_0_92,plain,
    ! [X2: qML_i] : ( scott_G @ ( esk5_4 @ esk447_0 @ esk1316_0 @ scott_G @ X2 ) @ X2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90])]) ).

thf(c_0_93,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[c_0_91,c_0_92]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : PHI005^4 : TPTP v8.2.0. Released v6.4.0.
% 0.11/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n002.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sat May 18 14:46:22 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  Running higher-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.75/2.82  # Version: 3.1.0-ho
% 18.75/2.82  # Preprocessing class: HSMSSMSSSSMNHFA.
% 18.75/2.82  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.75/2.82  # Starting ehoh_best_nonlift with 1500s (5) cores
% 18.75/2.82  # Starting lpo6_lambda_fix with 300s (1) cores
% 18.75/2.82  # Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 18.75/2.82  # Starting ehoh_best3_fo with 300s (1) cores
% 18.75/2.82  # ehoh_best_nonlift with pid 25433 completed with status 0
% 18.75/2.82  # Result found by ehoh_best_nonlift
% 18.75/2.82  # Preprocessing class: HSMSSMSSSSMNHFA.
% 18.75/2.82  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.75/2.82  # Starting ehoh_best_nonlift with 1500s (5) cores
% 18.75/2.82  # No SInE strategy applied
% 18.75/2.82  # Search class: HGHNS-FFSF33-MHFFFSBN
% 18.75/2.82  # partial match(4): HGHNS-FFMF32-SHSFFSBN
% 18.75/2.82  # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 18.75/2.82  # Starting ho_unfolding_3 with 901s (1) cores
% 18.75/2.82  # Starting ehoh_best_nonlift_rwall with 151s (1) cores
% 18.75/2.82  # Starting ehoh_best_nonlift_nonlambdatoforall with 151s (1) cores
% 18.75/2.82  # Starting ehoh_best8_lambda with 151s (1) cores
% 18.75/2.82  # Starting ehoh_best_nonlift with 146s (1) cores
% 18.75/2.82  # ehoh_best_nonlift_nonlambdatoforall with pid 25441 completed with status 0
% 18.75/2.82  # Result found by ehoh_best_nonlift_nonlambdatoforall
% 18.75/2.82  # Preprocessing class: HSMSSMSSSSMNHFA.
% 18.75/2.82  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.75/2.82  # Starting ehoh_best_nonlift with 1500s (5) cores
% 18.75/2.82  # No SInE strategy applied
% 18.75/2.82  # Search class: HGHNS-FFSF33-MHFFFSBN
% 18.75/2.82  # partial match(4): HGHNS-FFMF32-SHSFFSBN
% 18.75/2.82  # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 18.75/2.82  # Starting ho_unfolding_3 with 901s (1) cores
% 18.75/2.82  # Starting ehoh_best_nonlift_rwall with 151s (1) cores
% 18.75/2.82  # Starting ehoh_best_nonlift_nonlambdatoforall with 151s (1) cores
% 18.75/2.82  # Preprocessing time       : 0.002 s
% 18.75/2.82  # Presaturation interreduction done
% 18.75/2.82  
% 18.75/2.82  # Proof found!
% 18.75/2.82  # SZS status Theorem
% 18.75/2.82  # SZS output start CNFRefutation
% See solution above
% 18.75/2.82  # Parsed axioms                        : 16
% 18.75/2.82  # Removed by relevancy pruning/SinE    : 0
% 18.75/2.82  # Initial clauses                      : 25
% 18.75/2.82  # Removed in clause preprocessing      : 6
% 18.75/2.82  # Initial clauses in saturation        : 19
% 18.75/2.82  # Processed clauses                    : 9742
% 18.75/2.82  # ...of these trivial                  : 527
% 18.75/2.82  # ...subsumed                          : 4780
% 18.75/2.82  # ...remaining for further processing  : 4435
% 18.75/2.82  # Other redundant clauses eliminated   : 3965
% 18.75/2.82  # Clauses deleted for lack of memory   : 0
% 18.75/2.82  # Backward-subsumed                    : 190
% 18.75/2.82  # Backward-rewritten                   : 2930
% 18.75/2.82  # Generated clauses                    : 94903
% 18.75/2.82  # ...of the previous two non-redundant : 77812
% 18.75/2.82  # ...aggressively subsumed             : 0
% 18.75/2.82  # Contextual simplify-reflections      : 1
% 18.75/2.82  # Paramodulations                      : 88604
% 18.75/2.82  # Factorizations                       : 24
% 18.75/2.82  # NegExts                              : 1322
% 18.75/2.82  # Equation resolutions                 : 4208
% 18.75/2.82  # Disequality decompositions           : 0
% 18.75/2.82  # Total rewrite steps                  : 20552
% 18.75/2.82  # ...of those cached                   : 20415
% 18.75/2.82  # Propositional unsat checks           : 0
% 18.75/2.82  #    Propositional check models        : 0
% 18.75/2.82  #    Propositional check unsatisfiable : 0
% 18.75/2.82  #    Propositional clauses             : 0
% 18.75/2.82  #    Propositional clauses after purity: 0
% 18.75/2.82  #    Propositional unsat core size     : 0
% 18.75/2.82  #    Propositional preprocessing time  : 0.000
% 18.75/2.82  #    Propositional encoding time       : 0.000
% 18.75/2.82  #    Propositional solver time         : 0.000
% 18.75/2.82  #    Success case prop preproc time    : 0.000
% 18.75/2.82  #    Success case prop encoding time   : 0.000
% 18.75/2.82  #    Success case prop solver time     : 0.000
% 18.75/2.82  # Current number of processed clauses  : 962
% 18.75/2.82  #    Positive orientable unit clauses  : 56
% 18.75/2.82  #    Positive unorientable unit clauses: 0
% 18.75/2.82  #    Negative unit clauses             : 31
% 18.75/2.82  #    Non-unit-clauses                  : 875
% 18.75/2.82  # Current number of unprocessed clauses: 66171
% 18.75/2.82  # ...number of literals in the above   : 211991
% 18.75/2.82  # Current number of archived formulas  : 0
% 18.75/2.82  # Current number of archived clauses   : 3473
% 18.75/2.82  # Clause-clause subsumption calls (NU) : 503526
% 18.75/2.82  # Rec. Clause-clause subsumption calls : 434160
% 18.75/2.82  # Non-unit clause-clause subsumptions  : 4856
% 18.75/2.82  # Unit Clause-clause subsumption calls : 13923
% 18.75/2.82  # Rewrite failures with RHS unbound    : 0
% 18.75/2.82  # BW rewrite match attempts            : 72
% 18.75/2.82  # BW rewrite match successes           : 57
% 18.75/2.82  # Condensation attempts                : 0
% 18.75/2.82  # Condensation successes               : 0
% 18.75/2.82  # Termbank termtop insertions          : 4798981
% 18.75/2.82  # Search garbage collected termcells   : 581
% 18.75/2.82  
% 18.75/2.82  # -------------------------------------------------
% 18.75/2.82  # User time                : 2.240 s
% 18.75/2.82  # System time              : 0.044 s
% 18.75/2.82  # Total time               : 2.284 s
% 18.75/2.82  # Maximum resident set size: 1876 pages
% 18.75/2.82  
% 18.75/2.82  # -------------------------------------------------
% 18.75/2.82  # User time                : 11.244 s
% 18.75/2.82  # System time              : 0.229 s
% 18.75/2.82  # Total time               : 11.473 s
% 18.75/2.82  # Maximum resident set size: 1744 pages
% 18.75/2.82  % E---3.1 exiting
% 18.75/2.82  % E exiting
%------------------------------------------------------------------------------