TSTP Solution File: SEU788^2 by E---3.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.2.0
% Problem  : SEU788^2 : TPTP v8.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n023.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 15:11:16 EDT 2024

% Result   : Theorem 1.25s 0.68s
% Output   : CNFRefutation 1.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   53 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :  313 (  11 equ;   0 cnn)
%            Maximal formula atoms :   44 (   5 avg)
%            Number of connectives : 1658 ( 157   ~; 177   |;  11   &;1241   @)
%                                         (   6 <=>;  66  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   43 (  12 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  16 usr;  10 con; 0-3 aty)
%            Number of variables   :  171 (   0   ^ 171   !;   0   ?; 171   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_22,type,
    in: $i > $i > $o ).

thf(decl_23,type,
    subset: $i > $i > $o ).

thf(decl_24,type,
    setextsub: $o ).

thf(decl_25,type,
    binunion: $i > $i > $i ).

thf(decl_26,type,
    kpair: $i > $i > $i ).

thf(decl_27,type,
    breln1: $i > $i > $o ).

thf(decl_28,type,
    subbreln1: $o ).

thf(decl_29,type,
    breln1unionprop: $o ).

thf(decl_30,type,
    breln1unionIL: $o ).

thf(decl_31,type,
    breln1unionIR: $o ).

thf(decl_32,type,
    breln1unionE: $o ).

thf(decl_33,type,
    esk1_3: $i > $i > $i > $i ).

thf(decl_34,type,
    esk2_3: $i > $i > $i > $i ).

thf(decl_35,type,
    esk3_0: $i ).

thf(decl_36,type,
    esk4_0: $i ).

thf(decl_37,type,
    esk5_0: $i ).

thf(breln1unionCommutes,conjecture,
    ( setextsub
   => ( subbreln1
     => ( breln1unionprop
       => ( breln1unionIL
         => ( breln1unionIR
           => ( breln1unionE
             => ! [X1: $i,X3: $i] :
                  ( ( breln1 @ X1 @ X3 )
                 => ! [X4: $i] :
                      ( ( breln1 @ X1 @ X4 )
                     => ( ( binunion @ X3 @ X4 )
                        = ( binunion @ X4 @ X3 ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.vChp3jP4bo/E---3.1_23874.p',breln1unionCommutes) ).

thf(setextsub,axiom,
    ( setextsub
  <=> ! [X1: $i,X2: $i] :
        ( ( subset @ X1 @ X2 )
       => ( ( subset @ X2 @ X1 )
         => ( X1 = X2 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.vChp3jP4bo/E---3.1_23874.p',setextsub) ).

thf(subbreln1,axiom,
    ( subbreln1
  <=> ! [X1: $i,X3: $i] :
        ( ( breln1 @ X1 @ X3 )
       => ! [X4: $i] :
            ( ( breln1 @ X1 @ X4 )
           => ( ! [X5: $i] :
                  ( ( in @ X5 @ X1 )
                 => ! [X6: $i] :
                      ( ( in @ X6 @ X1 )
                     => ( ( in @ ( kpair @ X5 @ X6 ) @ X3 )
                       => ( in @ ( kpair @ X5 @ X6 ) @ X4 ) ) ) )
             => ( subset @ X3 @ X4 ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.vChp3jP4bo/E---3.1_23874.p',subbreln1) ).

thf(breln1unionprop,axiom,
    ( breln1unionprop
  <=> ! [X1: $i,X3: $i] :
        ( ( breln1 @ X1 @ X3 )
       => ! [X4: $i] :
            ( ( breln1 @ X1 @ X4 )
           => ( breln1 @ X1 @ ( binunion @ X3 @ X4 ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.vChp3jP4bo/E---3.1_23874.p',breln1unionprop) ).

thf(breln1unionIL,axiom,
    ( breln1unionIL
  <=> ! [X1: $i,X3: $i] :
        ( ( breln1 @ X1 @ X3 )
       => ! [X4: $i] :
            ( ( breln1 @ X1 @ X4 )
           => ! [X5: $i] :
                ( ( in @ X5 @ X1 )
               => ! [X6: $i] :
                    ( ( in @ X6 @ X1 )
                   => ( ( in @ ( kpair @ X5 @ X6 ) @ X3 )
                     => ( in @ ( kpair @ X5 @ X6 ) @ ( binunion @ X3 @ X4 ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.vChp3jP4bo/E---3.1_23874.p',breln1unionIL) ).

thf(breln1unionIR,axiom,
    ( breln1unionIR
  <=> ! [X1: $i,X3: $i] :
        ( ( breln1 @ X1 @ X3 )
       => ! [X4: $i] :
            ( ( breln1 @ X1 @ X4 )
           => ! [X5: $i] :
                ( ( in @ X5 @ X1 )
               => ! [X6: $i] :
                    ( ( in @ X6 @ X1 )
                   => ( ( in @ ( kpair @ X5 @ X6 ) @ X4 )
                     => ( in @ ( kpair @ X5 @ X6 ) @ ( binunion @ X3 @ X4 ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.vChp3jP4bo/E---3.1_23874.p',breln1unionIR) ).

thf(breln1unionE,axiom,
    ( breln1unionE
  <=> ! [X1: $i,X3: $i] :
        ( ( breln1 @ X1 @ X3 )
       => ! [X4: $i] :
            ( ( breln1 @ X1 @ X4 )
           => ! [X5: $i] :
                ( ( in @ X5 @ X1 )
               => ! [X6: $i] :
                    ( ( in @ X6 @ X1 )
                   => ( ( in @ ( kpair @ X5 @ X6 ) @ ( binunion @ X3 @ X4 ) )
                     => ( ( in @ ( kpair @ X5 @ X6 ) @ X3 )
                        | ( in @ ( kpair @ X5 @ X6 ) @ X4 ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.vChp3jP4bo/E---3.1_23874.p',breln1unionE) ).

thf(c_0_7,negated_conjecture,
    ~ ( ! [X35: $i,X36: $i] :
          ( ( subset @ X35 @ X36 )
         => ( ( subset @ X36 @ X35 )
           => ( X35 = X36 ) ) )
     => ( ! [X37: $i,X38: $i] :
            ( ( breln1 @ X37 @ X38 )
           => ! [X39: $i] :
                ( ( breln1 @ X37 @ X39 )
               => ( ! [X40: $i] :
                      ( ( in @ X40 @ X37 )
                     => ! [X41: $i] :
                          ( ( in @ X41 @ X37 )
                         => ( ( in @ ( kpair @ X40 @ X41 ) @ X38 )
                           => ( in @ ( kpair @ X40 @ X41 ) @ X39 ) ) ) )
                 => ( subset @ X38 @ X39 ) ) ) )
       => ( ! [X42: $i,X43: $i] :
              ( ( breln1 @ X42 @ X43 )
             => ! [X44: $i] :
                  ( ( breln1 @ X42 @ X44 )
                 => ( breln1 @ X42 @ ( binunion @ X43 @ X44 ) ) ) )
         => ( ! [X45: $i,X46: $i] :
                ( ( breln1 @ X45 @ X46 )
               => ! [X47: $i] :
                    ( ( breln1 @ X45 @ X47 )
                   => ! [X48: $i] :
                        ( ( in @ X48 @ X45 )
                       => ! [X49: $i] :
                            ( ( in @ X49 @ X45 )
                           => ( ( in @ ( kpair @ X48 @ X49 ) @ X46 )
                             => ( in @ ( kpair @ X48 @ X49 ) @ ( binunion @ X46 @ X47 ) ) ) ) ) ) )
           => ( ! [X50: $i,X51: $i] :
                  ( ( breln1 @ X50 @ X51 )
                 => ! [X52: $i] :
                      ( ( breln1 @ X50 @ X52 )
                     => ! [X53: $i] :
                          ( ( in @ X53 @ X50 )
                         => ! [X54: $i] :
                              ( ( in @ X54 @ X50 )
                             => ( ( in @ ( kpair @ X53 @ X54 ) @ X52 )
                               => ( in @ ( kpair @ X53 @ X54 ) @ ( binunion @ X51 @ X52 ) ) ) ) ) ) )
             => ( ! [X55: $i,X56: $i] :
                    ( ( breln1 @ X55 @ X56 )
                   => ! [X57: $i] :
                        ( ( breln1 @ X55 @ X57 )
                       => ! [X58: $i] :
                            ( ( in @ X58 @ X55 )
                           => ! [X59: $i] :
                                ( ( in @ X59 @ X55 )
                               => ( ( in @ ( kpair @ X58 @ X59 ) @ ( binunion @ X56 @ X57 ) )
                                 => ( ( in @ ( kpair @ X58 @ X59 ) @ X56 )
                                    | ( in @ ( kpair @ X58 @ X59 ) @ X57 ) ) ) ) ) ) )
               => ! [X1: $i,X3: $i] :
                    ( ( breln1 @ X1 @ X3 )
                   => ! [X4: $i] :
                        ( ( breln1 @ X1 @ X4 )
                       => ( ( binunion @ X3 @ X4 )
                          = ( binunion @ X4 @ X3 ) ) ) ) ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[breln1unionCommutes]),setextsub]),subbreln1]),breln1unionprop]),breln1unionIL]),breln1unionIR]),breln1unionE]) ).

thf(c_0_8,negated_conjecture,
    ! [X60: $i,X61: $i,X62: $i,X63: $i,X64: $i,X67: $i,X68: $i,X69: $i,X70: $i,X71: $i,X72: $i,X73: $i,X74: $i,X75: $i,X76: $i,X77: $i,X78: $i,X79: $i,X80: $i,X81: $i,X82: $i,X83: $i,X84: $i] :
      ( ( ~ ( subset @ X60 @ X61 )
        | ~ ( subset @ X61 @ X60 )
        | ( X60 = X61 ) )
      & ( ( in @ ( esk1_3 @ X62 @ X63 @ X64 ) @ X62 )
        | ( subset @ X63 @ X64 )
        | ~ ( breln1 @ X62 @ X64 )
        | ~ ( breln1 @ X62 @ X63 ) )
      & ( ( in @ ( esk2_3 @ X62 @ X63 @ X64 ) @ X62 )
        | ( subset @ X63 @ X64 )
        | ~ ( breln1 @ X62 @ X64 )
        | ~ ( breln1 @ X62 @ X63 ) )
      & ( ( in @ ( kpair @ ( esk1_3 @ X62 @ X63 @ X64 ) @ ( esk2_3 @ X62 @ X63 @ X64 ) ) @ X63 )
        | ( subset @ X63 @ X64 )
        | ~ ( breln1 @ X62 @ X64 )
        | ~ ( breln1 @ X62 @ X63 ) )
      & ( ~ ( in @ ( kpair @ ( esk1_3 @ X62 @ X63 @ X64 ) @ ( esk2_3 @ X62 @ X63 @ X64 ) ) @ X64 )
        | ( subset @ X63 @ X64 )
        | ~ ( breln1 @ X62 @ X64 )
        | ~ ( breln1 @ X62 @ X63 ) )
      & ( ~ ( breln1 @ X67 @ X68 )
        | ~ ( breln1 @ X67 @ X69 )
        | ( breln1 @ X67 @ ( binunion @ X68 @ X69 ) ) )
      & ( ~ ( breln1 @ X70 @ X71 )
        | ~ ( breln1 @ X70 @ X72 )
        | ~ ( in @ X73 @ X70 )
        | ~ ( in @ X74 @ X70 )
        | ~ ( in @ ( kpair @ X73 @ X74 ) @ X71 )
        | ( in @ ( kpair @ X73 @ X74 ) @ ( binunion @ X71 @ X72 ) ) )
      & ( ~ ( breln1 @ X75 @ X76 )
        | ~ ( breln1 @ X75 @ X77 )
        | ~ ( in @ X78 @ X75 )
        | ~ ( in @ X79 @ X75 )
        | ~ ( in @ ( kpair @ X78 @ X79 ) @ X77 )
        | ( in @ ( kpair @ X78 @ X79 ) @ ( binunion @ X76 @ X77 ) ) )
      & ( ~ ( breln1 @ X80 @ X81 )
        | ~ ( breln1 @ X80 @ X82 )
        | ~ ( in @ X83 @ X80 )
        | ~ ( in @ X84 @ X80 )
        | ~ ( in @ ( kpair @ X83 @ X84 ) @ ( binunion @ X81 @ X82 ) )
        | ( in @ ( kpair @ X83 @ X84 ) @ X81 )
        | ( in @ ( kpair @ X83 @ X84 ) @ X82 ) )
      & ( breln1 @ esk3_0 @ esk4_0 )
      & ( breln1 @ esk3_0 @ esk5_0 )
      & ( ( binunion @ esk4_0 @ esk5_0 )
       != ( binunion @ esk5_0 @ esk4_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_7])])])])])]) ).

thf(c_0_9,negated_conjecture,
    ! [X1: $i,X3: $i,X5: $i,X4: $i,X2: $i] :
      ( ( in @ ( kpair @ X4 @ X5 ) @ ( binunion @ X2 @ X3 ) )
      | ~ ( breln1 @ X1 @ X2 )
      | ~ ( breln1 @ X1 @ X3 )
      | ~ ( in @ X4 @ X1 )
      | ~ ( in @ X5 @ X1 )
      | ~ ( in @ ( kpair @ X4 @ X5 ) @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_10,negated_conjecture,
    breln1 @ esk3_0 @ esk5_0,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_11,negated_conjecture,
    ! [X1: $i,X2: $i,X5: $i,X4: $i,X3: $i] :
      ( ( in @ ( kpair @ X4 @ X5 ) @ X2 )
      | ( in @ ( kpair @ X4 @ X5 ) @ X3 )
      | ~ ( breln1 @ X1 @ X2 )
      | ~ ( breln1 @ X1 @ X3 )
      | ~ ( in @ X4 @ X1 )
      | ~ ( in @ X5 @ X1 )
      | ~ ( in @ ( kpair @ X4 @ X5 ) @ ( binunion @ X2 @ X3 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_12,negated_conjecture,
    ! [X1: $i,X3: $i,X2: $i] :
      ( ( in @ ( kpair @ ( esk1_3 @ X1 @ X2 @ X3 ) @ ( esk2_3 @ X1 @ X2 @ X3 ) ) @ X2 )
      | ( subset @ X2 @ X3 )
      | ~ ( breln1 @ X1 @ X3 )
      | ~ ( breln1 @ X1 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_13,negated_conjecture,
    ! [X1: $i,X3: $i,X2: $i] :
      ( ( subset @ X2 @ X3 )
      | ~ ( in @ ( kpair @ ( esk1_3 @ X1 @ X2 @ X3 ) @ ( esk2_3 @ X1 @ X2 @ X3 ) ) @ X3 )
      | ~ ( breln1 @ X1 @ X3 )
      | ~ ( breln1 @ X1 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_14,negated_conjecture,
    ! [X1: $i,X2: $i,X3: $i] :
      ( ( in @ ( kpair @ X1 @ X2 ) @ ( binunion @ X3 @ esk5_0 ) )
      | ~ ( in @ ( kpair @ X1 @ X2 ) @ X3 )
      | ~ ( in @ X2 @ esk3_0 )
      | ~ ( in @ X1 @ esk3_0 )
      | ~ ( breln1 @ esk3_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

thf(c_0_15,negated_conjecture,
    ! [X1: $i,X3: $i,X2: $i,X5: $i,X4: $i] :
      ( ( in @ ( kpair @ ( esk1_3 @ X1 @ ( binunion @ X2 @ X3 ) @ X4 ) @ ( esk2_3 @ X1 @ ( binunion @ X2 @ X3 ) @ X4 ) ) @ X2 )
      | ( in @ ( kpair @ ( esk1_3 @ X1 @ ( binunion @ X2 @ X3 ) @ X4 ) @ ( esk2_3 @ X1 @ ( binunion @ X2 @ X3 ) @ X4 ) ) @ X3 )
      | ( subset @ ( binunion @ X2 @ X3 ) @ X4 )
      | ~ ( in @ ( esk2_3 @ X1 @ ( binunion @ X2 @ X3 ) @ X4 ) @ X5 )
      | ~ ( in @ ( esk1_3 @ X1 @ ( binunion @ X2 @ X3 ) @ X4 ) @ X5 )
      | ~ ( breln1 @ X1 @ ( binunion @ X2 @ X3 ) )
      | ~ ( breln1 @ X5 @ X3 )
      | ~ ( breln1 @ X5 @ X2 )
      | ~ ( breln1 @ X1 @ X4 ) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

thf(c_0_16,negated_conjecture,
    ! [X1: $i,X3: $i,X2: $i] :
      ( ( in @ ( esk2_3 @ X1 @ X2 @ X3 ) @ X1 )
      | ( subset @ X2 @ X3 )
      | ~ ( breln1 @ X1 @ X3 )
      | ~ ( breln1 @ X1 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_17,negated_conjecture,
    ! [X1: $i,X2: $i,X3: $i] :
      ( ( breln1 @ X1 @ ( binunion @ X2 @ X3 ) )
      | ~ ( breln1 @ X1 @ X2 )
      | ~ ( breln1 @ X1 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_18,negated_conjecture,
    ! [X3: $i,X2: $i,X1: $i] :
      ( ( subset @ X1 @ ( binunion @ X2 @ esk5_0 ) )
      | ~ ( in @ ( kpair @ ( esk1_3 @ X3 @ X1 @ ( binunion @ X2 @ esk5_0 ) ) @ ( esk2_3 @ X3 @ X1 @ ( binunion @ X2 @ esk5_0 ) ) ) @ X2 )
      | ~ ( in @ ( esk2_3 @ X3 @ X1 @ ( binunion @ X2 @ esk5_0 ) ) @ esk3_0 )
      | ~ ( in @ ( esk1_3 @ X3 @ X1 @ ( binunion @ X2 @ esk5_0 ) ) @ esk3_0 )
      | ~ ( breln1 @ X3 @ ( binunion @ X2 @ esk5_0 ) )
      | ~ ( breln1 @ esk3_0 @ X2 )
      | ~ ( breln1 @ X3 @ X1 ) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

thf(c_0_19,negated_conjecture,
    ! [X1: $i,X3: $i,X2: $i,X4: $i] :
      ( ( in @ ( kpair @ ( esk1_3 @ X1 @ ( binunion @ X2 @ X3 ) @ X4 ) @ ( esk2_3 @ X1 @ ( binunion @ X2 @ X3 ) @ X4 ) ) @ X3 )
      | ( in @ ( kpair @ ( esk1_3 @ X1 @ ( binunion @ X2 @ X3 ) @ X4 ) @ ( esk2_3 @ X1 @ ( binunion @ X2 @ X3 ) @ X4 ) ) @ X2 )
      | ( subset @ ( binunion @ X2 @ X3 ) @ X4 )
      | ~ ( in @ ( esk1_3 @ X1 @ ( binunion @ X2 @ X3 ) @ X4 ) @ X1 )
      | ~ ( breln1 @ X1 @ X3 )
      | ~ ( breln1 @ X1 @ X2 )
      | ~ ( breln1 @ X1 @ X4 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).

thf(c_0_20,negated_conjecture,
    ! [X1: $i,X3: $i,X2: $i] :
      ( ( in @ ( esk1_3 @ X1 @ X2 @ X3 ) @ X1 )
      | ( subset @ X2 @ X3 )
      | ~ ( breln1 @ X1 @ X3 )
      | ~ ( breln1 @ X1 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_21,negated_conjecture,
    ! [X2: $i,X1: $i] :
      ( ( subset @ X1 @ ( binunion @ X1 @ esk5_0 ) )
      | ~ ( in @ ( esk2_3 @ X2 @ X1 @ ( binunion @ X1 @ esk5_0 ) ) @ esk3_0 )
      | ~ ( in @ ( esk1_3 @ X2 @ X1 @ ( binunion @ X1 @ esk5_0 ) ) @ esk3_0 )
      | ~ ( breln1 @ X2 @ ( binunion @ X1 @ esk5_0 ) )
      | ~ ( breln1 @ esk3_0 @ X1 )
      | ~ ( breln1 @ X2 @ X1 ) ),
    inference(spm,[status(thm)],[c_0_18,c_0_12]) ).

thf(c_0_22,negated_conjecture,
    ! [X1: $i,X3: $i,X2: $i,X4: $i] :
      ( ( in @ ( kpair @ ( esk1_3 @ X1 @ ( binunion @ X2 @ X3 ) @ X4 ) @ ( esk2_3 @ X1 @ ( binunion @ X2 @ X3 ) @ X4 ) ) @ X2 )
      | ( in @ ( kpair @ ( esk1_3 @ X1 @ ( binunion @ X2 @ X3 ) @ X4 ) @ ( esk2_3 @ X1 @ ( binunion @ X2 @ X3 ) @ X4 ) ) @ X3 )
      | ( subset @ ( binunion @ X2 @ X3 ) @ X4 )
      | ~ ( breln1 @ X1 @ X3 )
      | ~ ( breln1 @ X1 @ X2 )
      | ~ ( breln1 @ X1 @ X4 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_17]) ).

thf(c_0_23,negated_conjecture,
    breln1 @ esk3_0 @ esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_24,negated_conjecture,
    ! [X2: $i,X1: $i,X5: $i,X4: $i,X3: $i] :
      ( ( in @ ( kpair @ X4 @ X5 ) @ ( binunion @ X2 @ X3 ) )
      | ~ ( breln1 @ X1 @ X2 )
      | ~ ( breln1 @ X1 @ X3 )
      | ~ ( in @ X4 @ X1 )
      | ~ ( in @ X5 @ X1 )
      | ~ ( in @ ( kpair @ X4 @ X5 ) @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_25,negated_conjecture,
    ! [X1: $i] :
      ( ( subset @ X1 @ ( binunion @ X1 @ esk5_0 ) )
      | ~ ( breln1 @ esk3_0 @ ( binunion @ X1 @ esk5_0 ) )
      | ~ ( breln1 @ esk3_0 @ X1 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_16]),c_0_20]) ).

thf(c_0_26,negated_conjecture,
    ! [X1: $i,X2: $i] :
      ( ( in @ ( kpair @ ( esk1_3 @ esk3_0 @ ( binunion @ X1 @ esk5_0 ) @ X2 ) @ ( esk2_3 @ esk3_0 @ ( binunion @ X1 @ esk5_0 ) @ X2 ) ) @ esk5_0 )
      | ( in @ ( kpair @ ( esk1_3 @ esk3_0 @ ( binunion @ X1 @ esk5_0 ) @ X2 ) @ ( esk2_3 @ esk3_0 @ ( binunion @ X1 @ esk5_0 ) @ X2 ) ) @ X1 )
      | ( subset @ ( binunion @ X1 @ esk5_0 ) @ X2 )
      | ~ ( breln1 @ esk3_0 @ X1 )
      | ~ ( breln1 @ esk3_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_22,c_0_10]) ).

thf(c_0_27,negated_conjecture,
    ! [X1: $i,X2: $i,X3: $i] :
      ( ( in @ ( kpair @ X1 @ X2 ) @ ( binunion @ X3 @ esk4_0 ) )
      | ~ ( in @ ( kpair @ X1 @ X2 ) @ X3 )
      | ~ ( in @ X2 @ esk3_0 )
      | ~ ( in @ X1 @ esk3_0 )
      | ~ ( breln1 @ esk3_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_9,c_0_23]) ).

thf(c_0_28,negated_conjecture,
    ! [X1: $i,X2: $i,X3: $i,X6: $i,X5: $i,X4: $i] :
      ( ( in @ ( kpair @ X1 @ X2 ) @ ( binunion @ X3 @ ( binunion @ X4 @ X5 ) ) )
      | ~ ( in @ ( kpair @ X1 @ X2 ) @ ( binunion @ X4 @ X5 ) )
      | ~ ( in @ X2 @ X6 )
      | ~ ( in @ X1 @ X6 )
      | ~ ( breln1 @ X6 @ X3 )
      | ~ ( breln1 @ X6 @ X5 )
      | ~ ( breln1 @ X6 @ X4 ) ),
    inference(spm,[status(thm)],[c_0_24,c_0_17]) ).

thf(c_0_29,negated_conjecture,
    ! [X2: $i,X1: $i] :
      ( ( X1 = X2 )
      | ~ ( subset @ X1 @ X2 )
      | ~ ( subset @ X2 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_30,negated_conjecture,
    ! [X1: $i] :
      ( ( subset @ X1 @ ( binunion @ X1 @ esk5_0 ) )
      | ~ ( breln1 @ esk3_0 @ X1 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_17]),c_0_10])]) ).

thf(c_0_31,negated_conjecture,
    ! [X1: $i] :
      ( ( in @ ( kpair @ ( esk1_3 @ esk3_0 @ ( binunion @ esk5_0 @ esk5_0 ) @ X1 ) @ ( esk2_3 @ esk3_0 @ ( binunion @ esk5_0 @ esk5_0 ) @ X1 ) ) @ esk5_0 )
      | ( subset @ ( binunion @ esk5_0 @ esk5_0 ) @ X1 )
      | ~ ( breln1 @ esk3_0 @ X1 ) ),
    inference(spm,[status(thm)],[c_0_26,c_0_10]) ).

thf(c_0_32,negated_conjecture,
    ! [X1: $i,X2: $i,X3: $i] :
      ( ( in @ ( kpair @ X1 @ X2 ) @ ( binunion @ X3 @ esk4_0 ) )
      | ~ ( in @ ( kpair @ X1 @ X2 ) @ esk4_0 )
      | ~ ( in @ X2 @ esk3_0 )
      | ~ ( in @ X1 @ esk3_0 )
      | ~ ( breln1 @ esk3_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_24,c_0_23]) ).

thf(c_0_33,negated_conjecture,
    ! [X3: $i,X2: $i,X1: $i] :
      ( ( subset @ X1 @ ( binunion @ X2 @ esk4_0 ) )
      | ~ ( in @ ( kpair @ ( esk1_3 @ X3 @ X1 @ ( binunion @ X2 @ esk4_0 ) ) @ ( esk2_3 @ X3 @ X1 @ ( binunion @ X2 @ esk4_0 ) ) ) @ X2 )
      | ~ ( in @ ( esk2_3 @ X3 @ X1 @ ( binunion @ X2 @ esk4_0 ) ) @ esk3_0 )
      | ~ ( in @ ( esk1_3 @ X3 @ X1 @ ( binunion @ X2 @ esk4_0 ) ) @ esk3_0 )
      | ~ ( breln1 @ X3 @ ( binunion @ X2 @ esk4_0 ) )
      | ~ ( breln1 @ esk3_0 @ X2 )
      | ~ ( breln1 @ X3 @ X1 ) ),
    inference(spm,[status(thm)],[c_0_13,c_0_27]) ).

thf(c_0_34,negated_conjecture,
    ! [X1: $i] :
      ( ( in @ ( kpair @ ( esk1_3 @ esk3_0 @ ( binunion @ esk4_0 @ esk5_0 ) @ X1 ) @ ( esk2_3 @ esk3_0 @ ( binunion @ esk4_0 @ esk5_0 ) @ X1 ) ) @ esk4_0 )
      | ( in @ ( kpair @ ( esk1_3 @ esk3_0 @ ( binunion @ esk4_0 @ esk5_0 ) @ X1 ) @ ( esk2_3 @ esk3_0 @ ( binunion @ esk4_0 @ esk5_0 ) @ X1 ) ) @ esk5_0 )
      | ( subset @ ( binunion @ esk4_0 @ esk5_0 ) @ X1 )
      | ~ ( breln1 @ esk3_0 @ X1 ) ),
    inference(spm,[status(thm)],[c_0_26,c_0_23]) ).

thf(c_0_35,negated_conjecture,
    ! [X1: $i,X2: $i,X4: $i,X3: $i] :
      ( ( in @ ( kpair @ X1 @ X2 ) @ ( binunion @ esk4_0 @ ( binunion @ X3 @ X4 ) ) )
      | ~ ( in @ ( kpair @ X1 @ X2 ) @ ( binunion @ X3 @ X4 ) )
      | ~ ( in @ X2 @ esk3_0 )
      | ~ ( in @ X1 @ esk3_0 )
      | ~ ( breln1 @ esk3_0 @ X4 )
      | ~ ( breln1 @ esk3_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_28,c_0_23]) ).

thf(c_0_36,negated_conjecture,
    ! [X1: $i] :
      ( ( ( binunion @ X1 @ esk5_0 )
        = X1 )
      | ~ ( subset @ ( binunion @ X1 @ esk5_0 ) @ X1 )
      | ~ ( breln1 @ esk3_0 @ X1 ) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

thf(c_0_37,negated_conjecture,
    ( ( subset @ ( binunion @ esk5_0 @ esk5_0 ) @ esk5_0 )
    | ~ ( breln1 @ esk3_0 @ ( binunion @ esk5_0 @ esk5_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_31]),c_0_10])]) ).

thf(c_0_38,negated_conjecture,
    ! [X3: $i,X2: $i,X1: $i] :
      ( ( subset @ X1 @ ( binunion @ X2 @ esk4_0 ) )
      | ~ ( in @ ( kpair @ ( esk1_3 @ X3 @ X1 @ ( binunion @ X2 @ esk4_0 ) ) @ ( esk2_3 @ X3 @ X1 @ ( binunion @ X2 @ esk4_0 ) ) ) @ esk4_0 )
      | ~ ( in @ ( esk2_3 @ X3 @ X1 @ ( binunion @ X2 @ esk4_0 ) ) @ esk3_0 )
      | ~ ( in @ ( esk1_3 @ X3 @ X1 @ ( binunion @ X2 @ esk4_0 ) ) @ esk3_0 )
      | ~ ( breln1 @ X3 @ ( binunion @ X2 @ esk4_0 ) )
      | ~ ( breln1 @ esk3_0 @ X2 )
      | ~ ( breln1 @ X3 @ X1 ) ),
    inference(spm,[status(thm)],[c_0_13,c_0_32]) ).

thf(c_0_39,negated_conjecture,
    ( ( in @ ( kpair @ ( esk1_3 @ esk3_0 @ ( binunion @ esk4_0 @ esk5_0 ) @ ( binunion @ esk5_0 @ esk4_0 ) ) @ ( esk2_3 @ esk3_0 @ ( binunion @ esk4_0 @ esk5_0 ) @ ( binunion @ esk5_0 @ esk4_0 ) ) ) @ esk4_0 )
    | ( subset @ ( binunion @ esk4_0 @ esk5_0 ) @ ( binunion @ esk5_0 @ esk4_0 ) )
    | ~ ( breln1 @ esk3_0 @ ( binunion @ esk5_0 @ esk4_0 ) )
    | ~ ( breln1 @ esk3_0 @ ( binunion @ esk4_0 @ esk5_0 ) ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_10])]),c_0_20]),c_0_16]) ).

thf(c_0_40,negated_conjecture,
    ! [X2: $i,X4: $i,X3: $i,X1: $i] :
      ( ( subset @ X1 @ ( binunion @ esk4_0 @ ( binunion @ X2 @ X3 ) ) )
      | ~ ( in @ ( kpair @ ( esk1_3 @ X4 @ X1 @ ( binunion @ esk4_0 @ ( binunion @ X2 @ X3 ) ) ) @ ( esk2_3 @ X4 @ X1 @ ( binunion @ esk4_0 @ ( binunion @ X2 @ X3 ) ) ) ) @ ( binunion @ X2 @ X3 ) )
      | ~ ( in @ ( esk2_3 @ X4 @ X1 @ ( binunion @ esk4_0 @ ( binunion @ X2 @ X3 ) ) ) @ esk3_0 )
      | ~ ( in @ ( esk1_3 @ X4 @ X1 @ ( binunion @ esk4_0 @ ( binunion @ X2 @ X3 ) ) ) @ esk3_0 )
      | ~ ( breln1 @ X4 @ ( binunion @ esk4_0 @ ( binunion @ X2 @ X3 ) ) )
      | ~ ( breln1 @ esk3_0 @ X3 )
      | ~ ( breln1 @ esk3_0 @ X2 )
      | ~ ( breln1 @ X4 @ X1 ) ),
    inference(spm,[status(thm)],[c_0_13,c_0_35]) ).

thf(c_0_41,negated_conjecture,
    ! [X1: $i,X2: $i] :
      ( ( in @ ( kpair @ ( esk1_3 @ esk3_0 @ ( binunion @ X1 @ esk4_0 ) @ X2 ) @ ( esk2_3 @ esk3_0 @ ( binunion @ X1 @ esk4_0 ) @ X2 ) ) @ esk4_0 )
      | ( in @ ( kpair @ ( esk1_3 @ esk3_0 @ ( binunion @ X1 @ esk4_0 ) @ X2 ) @ ( esk2_3 @ esk3_0 @ ( binunion @ X1 @ esk4_0 ) @ X2 ) ) @ X1 )
      | ( subset @ ( binunion @ X1 @ esk4_0 ) @ X2 )
      | ~ ( breln1 @ esk3_0 @ X1 )
      | ~ ( breln1 @ esk3_0 @ X2 ) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

thf(c_0_42,negated_conjecture,
    ( ( ( binunion @ esk5_0 @ esk5_0 )
      = esk5_0 )
    | ~ ( breln1 @ esk3_0 @ ( binunion @ esk5_0 @ esk5_0 ) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_10])]) ).

thf(c_0_43,negated_conjecture,
    ( ( subset @ ( binunion @ esk4_0 @ esk5_0 ) @ ( binunion @ esk5_0 @ esk4_0 ) )
    | ~ ( breln1 @ esk3_0 @ ( binunion @ esk5_0 @ esk4_0 ) )
    | ~ ( breln1 @ esk3_0 @ ( binunion @ esk4_0 @ esk5_0 ) ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_10])]),c_0_20]),c_0_16]) ).

thf(c_0_44,negated_conjecture,
    ( ( binunion @ esk4_0 @ esk5_0 )
   != ( binunion @ esk5_0 @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_45,negated_conjecture,
    ! [X3: $i,X2: $i,X1: $i] :
      ( ( subset @ X1 @ ( binunion @ esk4_0 @ ( binunion @ X2 @ esk5_0 ) ) )
      | ~ ( in @ ( kpair @ ( esk1_3 @ X3 @ X1 @ ( binunion @ esk4_0 @ ( binunion @ X2 @ esk5_0 ) ) ) @ ( esk2_3 @ X3 @ X1 @ ( binunion @ esk4_0 @ ( binunion @ X2 @ esk5_0 ) ) ) ) @ X2 )
      | ~ ( in @ ( esk2_3 @ X3 @ X1 @ ( binunion @ esk4_0 @ ( binunion @ X2 @ esk5_0 ) ) ) @ esk3_0 )
      | ~ ( in @ ( esk1_3 @ X3 @ X1 @ ( binunion @ esk4_0 @ ( binunion @ X2 @ esk5_0 ) ) ) @ esk3_0 )
      | ~ ( breln1 @ X3 @ ( binunion @ esk4_0 @ ( binunion @ X2 @ esk5_0 ) ) )
      | ~ ( breln1 @ esk3_0 @ X2 )
      | ~ ( breln1 @ X3 @ X1 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_14]),c_0_10])]) ).

thf(c_0_46,negated_conjecture,
    ! [X1: $i] :
      ( ( in @ ( kpair @ ( esk1_3 @ esk3_0 @ ( binunion @ esk5_0 @ esk4_0 ) @ X1 ) @ ( esk2_3 @ esk3_0 @ ( binunion @ esk5_0 @ esk4_0 ) @ X1 ) ) @ esk5_0 )
      | ( in @ ( kpair @ ( esk1_3 @ esk3_0 @ ( binunion @ esk5_0 @ esk4_0 ) @ X1 ) @ ( esk2_3 @ esk3_0 @ ( binunion @ esk5_0 @ esk4_0 ) @ X1 ) ) @ esk4_0 )
      | ( subset @ ( binunion @ esk5_0 @ esk4_0 ) @ X1 )
      | ~ ( breln1 @ esk3_0 @ X1 ) ),
    inference(spm,[status(thm)],[c_0_41,c_0_10]) ).

thf(c_0_47,negated_conjecture,
    ( ( binunion @ esk5_0 @ esk5_0 )
    = esk5_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_17]),c_0_10])]) ).

thf(c_0_48,negated_conjecture,
    ( ~ ( subset @ ( binunion @ esk5_0 @ esk4_0 ) @ ( binunion @ esk4_0 @ esk5_0 ) )
    | ~ ( breln1 @ esk3_0 @ ( binunion @ esk5_0 @ esk4_0 ) )
    | ~ ( breln1 @ esk3_0 @ ( binunion @ esk4_0 @ esk5_0 ) ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_43]),c_0_44]) ).

thf(c_0_49,negated_conjecture,
    ( ( in @ ( kpair @ ( esk1_3 @ esk3_0 @ ( binunion @ esk5_0 @ esk4_0 ) @ ( binunion @ esk4_0 @ esk5_0 ) ) @ ( esk2_3 @ esk3_0 @ ( binunion @ esk5_0 @ esk4_0 ) @ ( binunion @ esk4_0 @ esk5_0 ) ) ) @ esk4_0 )
    | ~ ( breln1 @ esk3_0 @ ( binunion @ esk4_0 @ esk5_0 ) )
    | ~ ( breln1 @ esk3_0 @ ( binunion @ esk5_0 @ esk4_0 ) ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_47]),c_0_47]),c_0_47]),c_0_47]),c_0_47]),c_0_10])]),c_0_20]),c_0_16]),c_0_48]) ).

thf(c_0_50,negated_conjecture,
    ( ~ ( breln1 @ esk3_0 @ ( binunion @ esk4_0 @ esk5_0 ) )
    | ~ ( breln1 @ esk3_0 @ ( binunion @ esk5_0 @ esk4_0 ) ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_49]),c_0_23])]),c_0_20]),c_0_16]),c_0_48]) ).

thf(c_0_51,negated_conjecture,
    ~ ( breln1 @ esk3_0 @ ( binunion @ esk4_0 @ esk5_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_17]),c_0_23]),c_0_10])]) ).

thf(c_0_52,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_17]),c_0_10]),c_0_23])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEU788^2 : TPTP v8.2.0. Released v3.7.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n023.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   : Fri Jun 21 17:25:39 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.21/0.50  Running higher-order theorem proving
% 0.21/0.50  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.vChp3jP4bo/E---3.1_23874.p
% 1.25/0.68  # Version: 3.2.0-ho
% 1.25/0.68  # Preprocessing class: HSSSSLSSSLSNFFN.
% 1.25/0.68  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.25/0.68  # Starting lpo6_lambda_fix with 1500s (5) cores
% 1.25/0.68  # Starting post_as_ho8 with 300s (1) cores
% 1.25/0.68  # Starting post_as_ho3 with 300s (1) cores
% 1.25/0.68  # Starting post_as_ho2 with 300s (1) cores
% 1.25/0.68  # lpo6_lambda_fix with pid 24026 completed with status 0
% 1.25/0.68  # Result found by lpo6_lambda_fix
% 1.25/0.68  # Preprocessing class: HSSSSLSSSLSNFFN.
% 1.25/0.68  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.25/0.68  # Starting lpo6_lambda_fix with 1500s (5) cores
% 1.25/0.68  # No SInE strategy applied
% 1.25/0.68  # Search class: HGUSF-FFSF32-SFFFMFNN
% 1.25/0.68  # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 1.25/0.68  # Starting new_ho_10 with 901s (1) cores
% 1.25/0.68  # Starting sh5l with 151s (1) cores
% 1.25/0.68  # Starting sh3l with 151s (1) cores
% 1.25/0.68  # Starting ehoh_best3_rw with 151s (1) cores
% 1.25/0.68  # Starting lpo6_lambda_fix with 146s (1) cores
% 1.25/0.68  # sh3l with pid 24036 completed with status 0
% 1.25/0.68  # Result found by sh3l
% 1.25/0.68  # Preprocessing class: HSSSSLSSSLSNFFN.
% 1.25/0.68  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.25/0.68  # Starting lpo6_lambda_fix with 1500s (5) cores
% 1.25/0.68  # No SInE strategy applied
% 1.25/0.68  # Search class: HGUSF-FFSF32-SFFFMFNN
% 1.25/0.68  # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 1.25/0.68  # Starting new_ho_10 with 901s (1) cores
% 1.25/0.68  # Starting sh5l with 151s (1) cores
% 1.25/0.68  # Starting sh3l with 151s (1) cores
% 1.25/0.68  # Preprocessing time       : 0.001 s
% 1.25/0.68  # Presaturation interreduction done
% 1.25/0.68  
% 1.25/0.68  # Proof found!
% 1.25/0.68  # SZS status Theorem
% 1.25/0.68  # SZS output start CNFRefutation
% See solution above
% 1.25/0.68  # Parsed axioms                        : 18
% 1.25/0.68  # Removed by relevancy pruning/SinE    : 0
% 1.25/0.68  # Initial clauses                      : 23
% 1.25/0.68  # Removed in clause preprocessing      : 11
% 1.25/0.68  # Initial clauses in saturation        : 12
% 1.25/0.68  # Processed clauses                    : 492
% 1.25/0.68  # ...of these trivial                  : 19
% 1.25/0.68  # ...subsumed                          : 115
% 1.25/0.68  # ...remaining for further processing  : 358
% 1.25/0.68  # Other redundant clauses eliminated   : 0
% 1.25/0.68  # Clauses deleted for lack of memory   : 0
% 1.25/0.68  # Backward-subsumed                    : 57
% 1.25/0.68  # Backward-rewritten                   : 7
% 1.25/0.68  # Generated clauses                    : 2405
% 1.25/0.68  # ...of the previous two non-redundant : 2221
% 1.25/0.68  # ...aggressively subsumed             : 0
% 1.25/0.68  # Contextual simplify-reflections      : 44
% 1.25/0.68  # Paramodulations                      : 2405
% 1.25/0.68  # Factorizations                       : 0
% 1.25/0.68  # NegExts                              : 0
% 1.25/0.68  # Equation resolutions                 : 0
% 1.25/0.68  # Disequality decompositions           : 0
% 1.25/0.68  # Total rewrite steps                  : 2243
% 1.25/0.68  # ...of those cached                   : 2228
% 1.25/0.68  # Propositional unsat checks           : 0
% 1.25/0.68  #    Propositional check models        : 0
% 1.25/0.68  #    Propositional check unsatisfiable : 0
% 1.25/0.68  #    Propositional clauses             : 0
% 1.25/0.68  #    Propositional clauses after purity: 0
% 1.25/0.68  #    Propositional unsat core size     : 0
% 1.25/0.68  #    Propositional preprocessing time  : 0.000
% 1.25/0.68  #    Propositional encoding time       : 0.000
% 1.25/0.68  #    Propositional solver time         : 0.000
% 1.25/0.68  #    Success case prop preproc time    : 0.000
% 1.25/0.68  #    Success case prop encoding time   : 0.000
% 1.25/0.68  #    Success case prop solver time     : 0.000
% 1.25/0.68  # Current number of processed clauses  : 282
% 1.25/0.68  #    Positive orientable unit clauses  : 15
% 1.25/0.68  #    Positive unorientable unit clauses: 0
% 1.25/0.68  #    Negative unit clauses             : 2
% 1.25/0.68  #    Non-unit-clauses                  : 265
% 1.25/0.68  # Current number of unprocessed clauses: 1723
% 1.25/0.68  # ...number of literals in the above   : 16803
% 1.25/0.68  # Current number of archived formulas  : 0
% 1.25/0.68  # Current number of archived clauses   : 76
% 1.25/0.68  # Clause-clause subsumption calls (NU) : 32789
% 1.25/0.68  # Rec. Clause-clause subsumption calls : 4738
% 1.25/0.68  # Non-unit clause-clause subsumptions  : 207
% 1.25/0.68  # Unit Clause-clause subsumption calls : 1158
% 1.25/0.68  # Rewrite failures with RHS unbound    : 0
% 1.25/0.68  # BW rewrite match attempts            : 18
% 1.25/0.68  # BW rewrite match successes           : 3
% 1.25/0.68  # Condensation attempts                : 0
% 1.25/0.68  # Condensation successes               : 0
% 1.25/0.68  # Termbank termtop insertions          : 416424
% 1.25/0.68  # Search garbage collected termcells   : 892
% 1.25/0.68  
% 1.25/0.68  # -------------------------------------------------
% 1.25/0.68  # User time                : 0.161 s
% 1.25/0.68  # System time              : 0.008 s
% 1.25/0.68  # Total time               : 0.169 s
% 1.25/0.68  # Maximum resident set size: 1968 pages
% 1.25/0.68  
% 1.25/0.68  # -------------------------------------------------
% 1.25/0.68  # User time                : 0.762 s
% 1.25/0.68  # System time              : 0.032 s
% 1.25/0.68  # Total time               : 0.794 s
% 1.25/0.68  # Maximum resident set size: 1712 pages
% 1.25/0.68  % E---3.1 exiting
% 1.25/0.68  % E exiting
%------------------------------------------------------------------------------