TSTP Solution File: SEV044^5 by E---3.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.2.0
% Problem  : SEV044^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n022.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 : Mon Jun 24 15:53:21 EDT 2024

% Result   : Theorem 0.17s 0.47s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   41 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :  130 (   0 equ;   0 cnn)
%            Maximal formula atoms :   41 (   3 avg)
%            Number of connectives :  672 (  56   ~;  78   |;  21   &; 495   @)
%                                         (   0 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (   7 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   18 (  18   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   9 usr;   3 con; 0-3 aty)
%            Number of variables   :   72 (   0   ^  72   !;   0   ?;  72   :)

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

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

thf(decl_22,type,
    epred1_0: b > $o ).

thf(decl_23,type,
    epred2_0: b > a > a > $o ).

thf(decl_24,type,
    esk1_0: b > a ).

thf(decl_25,type,
    esk2_0: b > a ).

thf(decl_26,type,
    esk3_0: b ).

thf(decl_27,type,
    esk4_0: b > a ).

thf(decl_28,type,
    esk5_0: b > a ).

thf(decl_29,type,
    esk6_0: b > a ).

thf(decl_30,type,
    esk7_0: b ).

thf(cTHM506_pme,conjecture,
    ! [X1: b > $o,X2: b > a > a > $o] :
      ( ! [X3: b] :
          ( ( X1 @ X3 )
         => ( ! [X4: a,X5: a] :
                ( ( X2 @ X3 @ X4 @ X5 )
               => ( X2 @ X3 @ X5 @ X4 ) )
            & ! [X4: a,X5: a,X6: a] :
                ( ( ( X2 @ X3 @ X4 @ X5 )
                  & ( X2 @ X3 @ X5 @ X6 ) )
               => ( X2 @ X3 @ X4 @ X6 ) ) ) )
     => ( ! [X7: b > a,X8: b > a] :
            ( ! [X9: b] :
                ( ( X1 @ X9 )
               => ( X2 @ X9 @ ( X7 @ X9 ) @ ( X8 @ X9 ) ) )
           => ! [X10: b] :
                ( ( X1 @ X10 )
               => ( X2 @ X10 @ ( X8 @ X10 ) @ ( X7 @ X10 ) ) ) )
        & ! [X11: b > a,X12: b > a,X13: b > a] :
            ( ( ! [X14: b] :
                  ( ( X1 @ X14 )
                 => ( X2 @ X14 @ ( X11 @ X14 ) @ ( X12 @ X14 ) ) )
              & ! [X15: b] :
                  ( ( X1 @ X15 )
                 => ( X2 @ X15 @ ( X12 @ X15 ) @ ( X13 @ X15 ) ) ) )
           => ! [X16: b] :
                ( ( X1 @ X16 )
               => ( X2 @ X16 @ ( X11 @ X16 ) @ ( X13 @ X16 ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.MkCajgA2pb/E---3.1_4352.p',cTHM506_pme) ).

thf(c_0_1,negated_conjecture,
    ~ ! [X1: b > $o,X2: b > a > a > $o] :
        ( ! [X3: b] :
            ( ( X1 @ X3 )
           => ( ! [X4: a,X5: a] :
                  ( ( X2 @ X3 @ X4 @ X5 )
                 => ( X2 @ X3 @ X5 @ X4 ) )
              & ! [X4: a,X5: a,X6: a] :
                  ( ( ( X2 @ X3 @ X4 @ X5 )
                    & ( X2 @ X3 @ X5 @ X6 ) )
                 => ( X2 @ X3 @ X4 @ X6 ) ) ) )
       => ( ! [X7: b > a,X8: b > a] :
              ( ! [X9: b] :
                  ( ( X1 @ X9 )
                 => ( X2 @ X9 @ ( X7 @ X9 ) @ ( X8 @ X9 ) ) )
             => ! [X10: b] :
                  ( ( X1 @ X10 )
                 => ( X2 @ X10 @ ( X8 @ X10 ) @ ( X7 @ X10 ) ) ) )
          & ! [X11: b > a,X12: b > a,X13: b > a] :
              ( ( ! [X14: b] :
                    ( ( X1 @ X14 )
                   => ( X2 @ X14 @ ( X11 @ X14 ) @ ( X12 @ X14 ) ) )
                & ! [X15: b] :
                    ( ( X1 @ X15 )
                   => ( X2 @ X15 @ ( X12 @ X15 ) @ ( X13 @ X15 ) ) ) )
             => ! [X16: b] :
                  ( ( X1 @ X16 )
                 => ( X2 @ X16 @ ( X11 @ X16 ) @ ( X13 @ X16 ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[cTHM506_pme]) ).

thf(c_0_2,negated_conjecture,
    ! [X37: b,X38: a,X39: a,X40: a,X41: a,X42: a,X45: b,X50: b,X51: b] :
      ( ( ~ ( epred2_0 @ X37 @ X38 @ X39 )
        | ( epred2_0 @ X37 @ X39 @ X38 )
        | ~ ( epred1_0 @ X37 ) )
      & ( ~ ( epred2_0 @ X37 @ X40 @ X41 )
        | ~ ( epred2_0 @ X37 @ X41 @ X42 )
        | ( epred2_0 @ X37 @ X40 @ X42 )
        | ~ ( epred1_0 @ X37 ) )
      & ( ~ ( epred1_0 @ X50 )
        | ( epred2_0 @ X50 @ ( esk4_0 @ X50 ) @ ( esk5_0 @ X50 ) )
        | ~ ( epred1_0 @ X45 )
        | ( epred2_0 @ X45 @ ( esk1_0 @ X45 ) @ ( esk2_0 @ X45 ) ) )
      & ( ~ ( epred1_0 @ X51 )
        | ( epred2_0 @ X51 @ ( esk5_0 @ X51 ) @ ( esk6_0 @ X51 ) )
        | ~ ( epred1_0 @ X45 )
        | ( epred2_0 @ X45 @ ( esk1_0 @ X45 ) @ ( esk2_0 @ X45 ) ) )
      & ( ( epred1_0 @ esk7_0 )
        | ~ ( epred1_0 @ X45 )
        | ( epred2_0 @ X45 @ ( esk1_0 @ X45 ) @ ( esk2_0 @ X45 ) ) )
      & ( ~ ( epred2_0 @ esk7_0 @ ( esk4_0 @ esk7_0 ) @ ( esk6_0 @ esk7_0 ) )
        | ~ ( epred1_0 @ X45 )
        | ( epred2_0 @ X45 @ ( esk1_0 @ X45 ) @ ( esk2_0 @ X45 ) ) )
      & ( ~ ( epred1_0 @ X50 )
        | ( epred2_0 @ X50 @ ( esk4_0 @ X50 ) @ ( esk5_0 @ X50 ) )
        | ( epred1_0 @ esk3_0 ) )
      & ( ~ ( epred1_0 @ X51 )
        | ( epred2_0 @ X51 @ ( esk5_0 @ X51 ) @ ( esk6_0 @ X51 ) )
        | ( epred1_0 @ esk3_0 ) )
      & ( ( epred1_0 @ esk7_0 )
        | ( epred1_0 @ esk3_0 ) )
      & ( ~ ( epred2_0 @ esk7_0 @ ( esk4_0 @ esk7_0 ) @ ( esk6_0 @ esk7_0 ) )
        | ( epred1_0 @ esk3_0 ) )
      & ( ~ ( epred1_0 @ X50 )
        | ( epred2_0 @ X50 @ ( esk4_0 @ X50 ) @ ( esk5_0 @ X50 ) )
        | ~ ( epred2_0 @ esk3_0 @ ( esk2_0 @ esk3_0 ) @ ( esk1_0 @ esk3_0 ) ) )
      & ( ~ ( epred1_0 @ X51 )
        | ( epred2_0 @ X51 @ ( esk5_0 @ X51 ) @ ( esk6_0 @ X51 ) )
        | ~ ( epred2_0 @ esk3_0 @ ( esk2_0 @ esk3_0 ) @ ( esk1_0 @ esk3_0 ) ) )
      & ( ( epred1_0 @ esk7_0 )
        | ~ ( epred2_0 @ esk3_0 @ ( esk2_0 @ esk3_0 ) @ ( esk1_0 @ esk3_0 ) ) )
      & ( ~ ( epred2_0 @ esk7_0 @ ( esk4_0 @ esk7_0 ) @ ( esk6_0 @ esk7_0 ) )
        | ~ ( epred2_0 @ esk3_0 @ ( esk2_0 @ esk3_0 ) @ ( esk1_0 @ esk3_0 ) ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])])]) ).

thf(c_0_3,negated_conjecture,
    ! [X3: b] :
      ( ( epred2_0 @ X3 @ ( esk4_0 @ X3 ) @ ( esk5_0 @ X3 ) )
      | ( epred1_0 @ esk3_0 )
      | ~ ( epred1_0 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_4,negated_conjecture,
    ( ( epred1_0 @ esk7_0 )
    | ( epred1_0 @ esk3_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_5,negated_conjecture,
    ! [X5: a,X4: a,X3: b] :
      ( ( epred2_0 @ X3 @ X5 @ X4 )
      | ~ ( epred2_0 @ X3 @ X4 @ X5 )
      | ~ ( epred1_0 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_6,negated_conjecture,
    ( ( epred2_0 @ esk7_0 @ ( esk4_0 @ esk7_0 ) @ ( esk5_0 @ esk7_0 ) )
    | ( epred1_0 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_3,c_0_4]) ).

thf(c_0_7,negated_conjecture,
    ! [X3: b] :
      ( ( epred2_0 @ X3 @ ( esk5_0 @ X3 ) @ ( esk6_0 @ X3 ) )
      | ( epred1_0 @ esk3_0 )
      | ~ ( epred1_0 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_8,negated_conjecture,
    ! [X4: a,X6: a,X5: a,X3: b] :
      ( ( epred2_0 @ X3 @ X4 @ X6 )
      | ~ ( epred2_0 @ X3 @ X4 @ X5 )
      | ~ ( epred2_0 @ X3 @ X5 @ X6 )
      | ~ ( epred1_0 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_9,negated_conjecture,
    ( ( epred2_0 @ esk7_0 @ ( esk5_0 @ esk7_0 ) @ ( esk4_0 @ esk7_0 ) )
    | ( epred1_0 @ esk3_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_4]) ).

thf(c_0_10,negated_conjecture,
    ( ( epred2_0 @ esk7_0 @ ( esk5_0 @ esk7_0 ) @ ( esk6_0 @ esk7_0 ) )
    | ( epred1_0 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_7,c_0_4]) ).

thf(c_0_11,negated_conjecture,
    ! [X4: a] :
      ( ( epred2_0 @ esk7_0 @ X4 @ ( esk4_0 @ esk7_0 ) )
      | ( epred1_0 @ esk3_0 )
      | ~ ( epred2_0 @ esk7_0 @ X4 @ ( esk5_0 @ esk7_0 ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_4]) ).

thf(c_0_12,negated_conjecture,
    ( ( epred2_0 @ esk7_0 @ ( esk6_0 @ esk7_0 ) @ ( esk5_0 @ esk7_0 ) )
    | ( epred1_0 @ esk3_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_10]),c_0_4]) ).

thf(c_0_13,negated_conjecture,
    ( ( epred2_0 @ esk7_0 @ ( esk6_0 @ esk7_0 ) @ ( esk4_0 @ esk7_0 ) )
    | ( epred1_0 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

thf(c_0_14,negated_conjecture,
    ( ( epred1_0 @ esk3_0 )
    | ~ ( epred2_0 @ esk7_0 @ ( esk4_0 @ esk7_0 ) @ ( esk6_0 @ esk7_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_15,negated_conjecture,
    ! [X3: b] :
      ( ( epred1_0 @ esk7_0 )
      | ( epred2_0 @ X3 @ ( esk1_0 @ X3 ) @ ( esk2_0 @ X3 ) )
      | ~ ( epred1_0 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_16,negated_conjecture,
    epred1_0 @ esk3_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_13]),c_0_4]),c_0_14]) ).

thf(c_0_17,negated_conjecture,
    ! [X3: b,X9: b] :
      ( ( epred2_0 @ X3 @ ( esk5_0 @ X3 ) @ ( esk6_0 @ X3 ) )
      | ( epred2_0 @ X9 @ ( esk1_0 @ X9 ) @ ( esk2_0 @ X9 ) )
      | ~ ( epred1_0 @ X3 )
      | ~ ( epred1_0 @ X9 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_18,negated_conjecture,
    ( ( epred2_0 @ esk3_0 @ ( esk1_0 @ esk3_0 ) @ ( esk2_0 @ esk3_0 ) )
    | ( epred1_0 @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

thf(c_0_19,negated_conjecture,
    ( ( epred1_0 @ esk7_0 )
    | ~ ( epred2_0 @ esk3_0 @ ( esk2_0 @ esk3_0 ) @ ( esk1_0 @ esk3_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_20,negated_conjecture,
    ! [X3: b] :
      ( ( epred2_0 @ esk3_0 @ ( esk1_0 @ esk3_0 ) @ ( esk2_0 @ esk3_0 ) )
      | ( epred2_0 @ X3 @ ( esk5_0 @ X3 ) @ ( esk6_0 @ X3 ) )
      | ~ ( epred1_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_17,c_0_16]) ).

thf(c_0_21,negated_conjecture,
    epred1_0 @ esk7_0,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_18]),c_0_16])]),c_0_19]) ).

thf(c_0_22,negated_conjecture,
    ! [X3: b,X9: b] :
      ( ( epred2_0 @ X3 @ ( esk4_0 @ X3 ) @ ( esk5_0 @ X3 ) )
      | ( epred2_0 @ X9 @ ( esk1_0 @ X9 ) @ ( esk2_0 @ X9 ) )
      | ~ ( epred1_0 @ X3 )
      | ~ ( epred1_0 @ X9 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_23,negated_conjecture,
    ( ( epred2_0 @ esk7_0 @ ( esk5_0 @ esk7_0 ) @ ( esk6_0 @ esk7_0 ) )
    | ( epred2_0 @ esk3_0 @ ( esk1_0 @ esk3_0 ) @ ( esk2_0 @ esk3_0 ) ) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

thf(c_0_24,negated_conjecture,
    ! [X3: b] :
      ( ( epred2_0 @ esk3_0 @ ( esk1_0 @ esk3_0 ) @ ( esk2_0 @ esk3_0 ) )
      | ( epred2_0 @ X3 @ ( esk4_0 @ X3 ) @ ( esk5_0 @ X3 ) )
      | ~ ( epred1_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_22,c_0_16]) ).

thf(c_0_25,negated_conjecture,
    ! [X4: a] :
      ( ( epred2_0 @ esk3_0 @ ( esk1_0 @ esk3_0 ) @ ( esk2_0 @ esk3_0 ) )
      | ( epred2_0 @ esk7_0 @ X4 @ ( esk6_0 @ esk7_0 ) )
      | ~ ( epred2_0 @ esk7_0 @ X4 @ ( esk5_0 @ esk7_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_23]),c_0_21])]) ).

thf(c_0_26,negated_conjecture,
    ( ( epred2_0 @ esk7_0 @ ( esk4_0 @ esk7_0 ) @ ( esk5_0 @ esk7_0 ) )
    | ( epred2_0 @ esk3_0 @ ( esk1_0 @ esk3_0 ) @ ( esk2_0 @ esk3_0 ) ) ),
    inference(spm,[status(thm)],[c_0_24,c_0_21]) ).

thf(c_0_27,negated_conjecture,
    ! [X3: b] :
      ( ( epred2_0 @ X3 @ ( esk1_0 @ X3 ) @ ( esk2_0 @ X3 ) )
      | ~ ( epred2_0 @ esk7_0 @ ( esk4_0 @ esk7_0 ) @ ( esk6_0 @ esk7_0 ) )
      | ~ ( epred1_0 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_28,negated_conjecture,
    ( ( epred2_0 @ esk7_0 @ ( esk4_0 @ esk7_0 ) @ ( esk6_0 @ esk7_0 ) )
    | ( epred2_0 @ esk3_0 @ ( esk1_0 @ esk3_0 ) @ ( esk2_0 @ esk3_0 ) ) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

thf(c_0_29,negated_conjecture,
    ! [X3: b] :
      ( ( epred2_0 @ esk3_0 @ ( esk1_0 @ esk3_0 ) @ ( esk2_0 @ esk3_0 ) )
      | ( epred2_0 @ X3 @ ( esk1_0 @ X3 ) @ ( esk2_0 @ X3 ) )
      | ~ ( epred1_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

thf(c_0_30,negated_conjecture,
    epred2_0 @ esk3_0 @ ( esk1_0 @ esk3_0 ) @ ( esk2_0 @ esk3_0 ),
    inference(spm,[status(thm)],[c_0_29,c_0_16]) ).

thf(c_0_31,negated_conjecture,
    ! [X3: b] :
      ( ( epred2_0 @ X3 @ ( esk5_0 @ X3 ) @ ( esk6_0 @ X3 ) )
      | ~ ( epred1_0 @ X3 )
      | ~ ( epred2_0 @ esk3_0 @ ( esk2_0 @ esk3_0 ) @ ( esk1_0 @ esk3_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_32,negated_conjecture,
    epred2_0 @ esk3_0 @ ( esk2_0 @ esk3_0 ) @ ( esk1_0 @ esk3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_30]),c_0_16])]) ).

thf(c_0_33,negated_conjecture,
    ! [X3: b] :
      ( ( epred2_0 @ X3 @ ( esk5_0 @ X3 ) @ ( esk6_0 @ X3 ) )
      | ~ ( epred1_0 @ X3 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32])]) ).

thf(c_0_34,negated_conjecture,
    ! [X3: b] :
      ( ( epred2_0 @ X3 @ ( esk4_0 @ X3 ) @ ( esk5_0 @ X3 ) )
      | ~ ( epred1_0 @ X3 )
      | ~ ( epred2_0 @ esk3_0 @ ( esk2_0 @ esk3_0 ) @ ( esk1_0 @ esk3_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_35,negated_conjecture,
    ( ~ ( epred2_0 @ esk7_0 @ ( esk4_0 @ esk7_0 ) @ ( esk6_0 @ esk7_0 ) )
    | ~ ( epred2_0 @ esk3_0 @ ( esk2_0 @ esk3_0 ) @ ( esk1_0 @ esk3_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_36,negated_conjecture,
    ! [X4: a,X3: b] :
      ( ( epred2_0 @ X3 @ X4 @ ( esk6_0 @ X3 ) )
      | ~ ( epred2_0 @ X3 @ X4 @ ( esk5_0 @ X3 ) )
      | ~ ( epred1_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_8,c_0_33]) ).

thf(c_0_37,negated_conjecture,
    ! [X3: b] :
      ( ( epred2_0 @ X3 @ ( esk4_0 @ X3 ) @ ( esk5_0 @ X3 ) )
      | ~ ( epred1_0 @ X3 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_32])]) ).

thf(c_0_38,negated_conjecture,
    ~ ( epred2_0 @ esk7_0 @ ( esk4_0 @ esk7_0 ) @ ( esk6_0 @ esk7_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_32])]) ).

thf(c_0_39,negated_conjecture,
    ! [X3: b] :
      ( ( epred2_0 @ X3 @ ( esk4_0 @ X3 ) @ ( esk6_0 @ X3 ) )
      | ~ ( epred1_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

thf(c_0_40,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_21])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10  % Problem    : SEV044^5 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.10  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n022.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Fri Jun 21 18:18:08 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.17/0.45  Running higher-order theorem proving
% 0.17/0.45  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/tmp/tmp.MkCajgA2pb/E---3.1_4352.p
% 0.17/0.47  # Version: 3.2.0-ho
% 0.17/0.47  # Preprocessing class: HSMSSMSSSSSNSSA.
% 0.17/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47  # Starting post_as_ho1 with 1500s (5) cores
% 0.17/0.47  # Starting post_as_ho12 with 300s (1) cores
% 0.17/0.47  # Starting new_ho_3 with 300s (1) cores
% 0.17/0.47  # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.17/0.47  # post_as_ho1 with pid 4430 completed with status 0
% 0.17/0.47  # Result found by post_as_ho1
% 0.17/0.47  # Preprocessing class: HSMSSMSSSSSNSSA.
% 0.17/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47  # Starting post_as_ho1 with 1500s (5) cores
% 0.17/0.47  # No SInE strategy applied
% 0.17/0.47  # Search class: HGHNF-FFSF00-SSSFFFNN
% 0.17/0.47  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.47  # Starting sh3 with 811s (1) cores
% 0.17/0.47  # Starting post_as_ho1 with 151s (1) cores
% 0.17/0.47  # Starting new_bool_3 with 136s (1) cores
% 0.17/0.47  # Starting new_bool_1 with 136s (1) cores
% 0.17/0.47  # Starting new_bool_2 with 136s (1) cores
% 0.17/0.47  # post_as_ho1 with pid 4438 completed with status 0
% 0.17/0.47  # Result found by post_as_ho1
% 0.17/0.47  # Preprocessing class: HSMSSMSSSSSNSSA.
% 0.17/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47  # Starting post_as_ho1 with 1500s (5) cores
% 0.17/0.47  # No SInE strategy applied
% 0.17/0.47  # Search class: HGHNF-FFSF00-SSSFFFNN
% 0.17/0.47  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.47  # Starting sh3 with 811s (1) cores
% 0.17/0.47  # Starting post_as_ho1 with 151s (1) cores
% 0.17/0.47  # Preprocessing time       : 0.001 s
% 0.17/0.47  # Presaturation interreduction done
% 0.17/0.47  
% 0.17/0.47  # Proof found!
% 0.17/0.47  # SZS status Theorem
% 0.17/0.47  # SZS output start CNFRefutation
% See solution above
% 0.17/0.47  # Parsed axioms                        : 3
% 0.17/0.47  # Removed by relevancy pruning/SinE    : 0
% 0.17/0.47  # Initial clauses                      : 16
% 0.17/0.47  # Removed in clause preprocessing      : 2
% 0.17/0.47  # Initial clauses in saturation        : 14
% 0.17/0.47  # Processed clauses                    : 114
% 0.17/0.47  # ...of these trivial                  : 0
% 0.17/0.47  # ...subsumed                          : 10
% 0.17/0.47  # ...remaining for further processing  : 104
% 0.17/0.47  # Other redundant clauses eliminated   : 0
% 0.17/0.47  # Clauses deleted for lack of memory   : 0
% 0.17/0.47  # Backward-subsumed                    : 12
% 0.17/0.47  # Backward-rewritten                   : 51
% 0.17/0.47  # Generated clauses                    : 178
% 0.17/0.47  # ...of the previous two non-redundant : 153
% 0.17/0.47  # ...aggressively subsumed             : 0
% 0.17/0.47  # Contextual simplify-reflections      : 7
% 0.17/0.47  # Paramodulations                      : 178
% 0.17/0.47  # Factorizations                       : 0
% 0.17/0.47  # NegExts                              : 0
% 0.17/0.47  # Equation resolutions                 : 0
% 0.17/0.47  # Disequality decompositions           : 0
% 0.17/0.47  # Total rewrite steps                  : 135
% 0.17/0.47  # ...of those cached                   : 125
% 0.17/0.47  # Propositional unsat checks           : 0
% 0.17/0.47  #    Propositional check models        : 0
% 0.17/0.47  #    Propositional check unsatisfiable : 0
% 0.17/0.47  #    Propositional clauses             : 0
% 0.17/0.47  #    Propositional clauses after purity: 0
% 0.17/0.47  #    Propositional unsat core size     : 0
% 0.17/0.47  #    Propositional preprocessing time  : 0.000
% 0.17/0.47  #    Propositional encoding time       : 0.000
% 0.17/0.47  #    Propositional solver time         : 0.000
% 0.17/0.47  #    Success case prop preproc time    : 0.000
% 0.17/0.47  #    Success case prop encoding time   : 0.000
% 0.17/0.47  #    Success case prop solver time     : 0.000
% 0.17/0.47  # Current number of processed clauses  : 27
% 0.17/0.47  #    Positive orientable unit clauses  : 10
% 0.17/0.47  #    Positive unorientable unit clauses: 0
% 0.17/0.47  #    Negative unit clauses             : 1
% 0.17/0.47  #    Non-unit-clauses                  : 16
% 0.17/0.47  # Current number of unprocessed clauses: 6
% 0.17/0.47  # ...number of literals in the above   : 15
% 0.17/0.47  # Current number of archived formulas  : 0
% 0.17/0.47  # Current number of archived clauses   : 77
% 0.17/0.47  # Clause-clause subsumption calls (NU) : 429
% 0.17/0.47  # Rec. Clause-clause subsumption calls : 359
% 0.17/0.47  # Non-unit clause-clause subsumptions  : 23
% 0.17/0.47  # Unit Clause-clause subsumption calls : 16
% 0.17/0.47  # Rewrite failures with RHS unbound    : 0
% 0.17/0.47  # BW rewrite match attempts            : 12
% 0.17/0.47  # BW rewrite match successes           : 6
% 0.17/0.47  # Condensation attempts                : 0
% 0.17/0.47  # Condensation successes               : 0
% 0.17/0.47  # Termbank termtop insertions          : 4658
% 0.17/0.47  # Search garbage collected termcells   : 519
% 0.17/0.47  
% 0.17/0.47  # -------------------------------------------------
% 0.17/0.47  # User time                : 0.011 s
% 0.17/0.47  # System time              : 0.001 s
% 0.17/0.47  # Total time               : 0.012 s
% 0.17/0.47  # Maximum resident set size: 1868 pages
% 0.17/0.47  
% 0.17/0.47  # -------------------------------------------------
% 0.17/0.47  # User time                : 0.047 s
% 0.17/0.47  # System time              : 0.005 s
% 0.17/0.47  # Total time               : 0.052 s
% 0.17/0.47  # Maximum resident set size: 1732 pages
% 0.17/0.47  % E---3.1 exiting
% 0.17/0.47  % E exiting
%------------------------------------------------------------------------------