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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SEU788^2 : TPTP v9.3.1. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:25:38 AM UTC 2026

% Result   : Theorem 2.22s 0.55s
% Output   : CNFRefutation 2.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   54 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :  322 (  12 equ;   0 cnn)
%            Maximal formula atoms :   44 (   5 avg)
%            Number of connectives : 1675 ( 158   ~; 177   |;  11   &;1249   @)
%                                         (   6 <=>;  74  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   43 (  13 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   :  174 (   0   ^; 174   !;   0   ?; 174   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_23,type,
    in: $i > $i > $o ).

thf(decl_24,type,
    subset: $i > $i > $o ).

thf(decl_25,type,
    setextsub: $o ).

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

thf(decl_27,type,
    kpair: $i > $i > $i ).

thf(decl_28,type,
    breln1: $i > $i > $o ).

thf(decl_29,type,
    subbreln1: $o ).

thf(decl_30,type,
    breln1unionprop: $o ).

thf(decl_31,type,
    breln1unionIL: $o ).

thf(decl_32,type,
    breln1unionIR: $o ).

thf(decl_33,type,
    breln1unionE: $o ).

thf(decl_34,type,
    esk1_3: $i > $i > $i > $i ).

thf(decl_35,type,
    esk2_3: $i > $i > $i > $i ).

thf(decl_36,type,
    esk3_0: $i ).

thf(decl_37,type,
    esk4_0: $i ).

thf(decl_38,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/sandbox/tmp/tmp.hm7PG35WGQ/E---3.1_2744856.p',breln1unionCommutes) ).

thf(setextsub,axiom,
    ( setextsub
  <=> ! [X1: $i,X2: $i] :
        ( ( subset @ X1 @ X2 )
       => ( ( subset @ X2 @ X1 )
         => ( X1 = X2 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.hm7PG35WGQ/E---3.1_2744856.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/sandbox/tmp/tmp.hm7PG35WGQ/E---3.1_2744856.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/sandbox/tmp/tmp.hm7PG35WGQ/E---3.1_2744856.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/sandbox/tmp/tmp.hm7PG35WGQ/E---3.1_2744856.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/sandbox/tmp/tmp.hm7PG35WGQ/E---3.1_2744856.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/sandbox/tmp/tmp.hm7PG35WGQ/E---3.1_2744856.p',breln1unionE) ).

thf(c_0_7,negated_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 ) ) ) ) ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[breln1unionCommutes]) ).

thf(c_0_8,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)],[c_0_7,setextsub]),subbreln1]),breln1unionprop]),breln1unionIL]),breln1unionIR]),breln1unionE]) ).

thf(c_0_9,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_8])])])])])]) ).

thf(c_0_10,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_9]) ).

thf(c_0_11,negated_conjecture,
    breln1 @ esk3_0 @ esk5_0,
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

thf(c_0_12,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_9]) ).

thf(c_0_13,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_9]) ).

thf(c_0_14,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_9]) ).

thf(c_0_15,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_10,c_0_11]) ).

thf(c_0_16,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_12,c_0_13]) ).

thf(c_0_17,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_9]) ).

thf(c_0_18,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_9]) ).

thf(c_0_19,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_14,c_0_15]) ).

thf(c_0_20,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_16,c_0_17]),c_0_18]) ).

thf(c_0_21,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_9]) ).

thf(c_0_22,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_19,c_0_13]) ).

thf(c_0_23,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_20,c_0_21]),c_0_18]) ).

thf(c_0_24,negated_conjecture,
    breln1 @ esk3_0 @ esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

thf(c_0_25,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_9]) ).

thf(c_0_26,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_22,c_0_17]),c_0_21]) ).

thf(c_0_27,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_23,c_0_11]) ).

thf(c_0_28,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_10,c_0_24]) ).

thf(c_0_29,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_25,c_0_18]) ).

thf(c_0_30,negated_conjecture,
    ! [X2: $i,X1: $i] :
      ( ( X1 = X2 )
      | ~ ( subset @ X1 @ X2 )
      | ~ ( subset @ X2 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

thf(c_0_31,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_26,c_0_18]),c_0_11])]) ).

thf(c_0_32,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_27,c_0_11]) ).

thf(c_0_33,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_25,c_0_24]) ).

thf(c_0_34,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_14,c_0_28]) ).

thf(c_0_35,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_27,c_0_24]) ).

thf(c_0_36,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_29,c_0_24]) ).

thf(c_0_37,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_30,c_0_31]) ).

thf(c_0_38,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_14,c_0_32]),c_0_11])]) ).

thf(c_0_39,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_14,c_0_33]) ).

thf(c_0_40,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_34,c_0_35]),c_0_11])]),c_0_21]),c_0_17]) ).

thf(c_0_41,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_14,c_0_36]) ).

thf(c_0_42,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_23,c_0_24]) ).

thf(c_0_43,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_37,c_0_38]),c_0_11])]) ).

thf(c_0_44,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_39,c_0_40]),c_0_11])]),c_0_21]),c_0_17]) ).

thf(c_0_45,negated_conjecture,
    ( ( binunion @ esk4_0 @ esk5_0 )
   != ( binunion @ esk5_0 @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

thf(c_0_46,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_41,c_0_15]),c_0_11])]) ).

thf(c_0_47,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_42,c_0_11]) ).

thf(c_0_48,negated_conjecture,
    ( ( binunion @ esk5_0 @ esk5_0 )
    = esk5_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_18]),c_0_11])]) ).

thf(c_0_49,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_30,c_0_44]),c_0_45]) ).

thf(c_0_50,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_46,c_0_47]),c_0_48]),c_0_48]),c_0_48]),c_0_48]),c_0_48]),c_0_48]),c_0_11])]),c_0_21]),c_0_17]),c_0_49]) ).

thf(c_0_51,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_19,c_0_50]),c_0_24])]),c_0_21]),c_0_17]),c_0_49]) ).

thf(c_0_52,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_51,c_0_18]),c_0_24]),c_0_11])]) ).

thf(c_0_53,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_18]),c_0_11]),c_0_24])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU788^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.18  % Computer : n014.cluster.edu
% 0.06/0.18  % Model    : x86_64 x86_64
% 0.06/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18  % Memory   : 8046.5625MB
% 0.06/0.18  % OS       : Linux 6.8.0-71-generic
% 0.06/0.18  % CPULimit : 300
% 0.06/0.18  % WCLimit  : 300
% 0.06/0.18  % DateTime : Tue Sep 29 14:28:59 UTC 2026
% 0.06/0.18  % CPUTime  : 
% 0.06/0.18  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.22  Running higher-order theorem proving
% 0.06/0.23  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.hm7PG35WGQ/E---3.1_2744856.p
% 2.22/0.55  % Version: 3.5.1-ho
% 2.22/0.55  % Preprocessing class: HSSSSLSSSLSNFFN.
% 2.22/0.55  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.22/0.55  % Starting lpo6_lambda_fix with 1500s (5) cores
% 2.22/0.55  % Starting post_as_ho8 with 300s (1) cores
% 2.22/0.55  % Starting post_as_ho3 with 300s (1) cores
% 2.22/0.55  % Starting post_as_ho2 with 300s (1) cores
% 2.22/0.55  % lpo6_lambda_fix with pid 2744869 completed with status 0
% 2.22/0.55  % Result found by lpo6_lambda_fix
% 2.22/0.55  % Preprocessing class: HSSSSLSSSLSNFFN.
% 2.22/0.55  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.22/0.55  % Starting lpo6_lambda_fix with 1500s (5) cores
% 2.22/0.55  % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = Auto)
% 2.22/0.55  % No SInE strategy applied
% 2.22/0.55  % Search class: HGUSF-FFSF32-SFFFMFNN
% 2.22/0.55  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 2.22/0.55  % Starting SubtermCWHack with 151s (1) cores
% 2.22/0.55  % Starting new_ho_10 with 901s (1) cores
% 2.22/0.55  % Starting sh5l with 151s (1) cores
% 2.22/0.55  % Starting sh3l with 151s (1) cores
% 2.22/0.55  % Starting ehoh_best3_rw with 146s (1) cores
% 2.22/0.55  % sh3l with pid 2744879 completed with status 0
% 2.22/0.55  % Result found by sh3l
% 2.22/0.55  % Preprocessing class: HSSSSLSSSLSNFFN.
% 2.22/0.55  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.22/0.55  % Starting lpo6_lambda_fix with 1500s (5) cores
% 2.22/0.55  % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = Auto)
% 2.22/0.55  % No SInE strategy applied
% 2.22/0.55  % Search class: HGUSF-FFSF32-SFFFMFNN
% 2.22/0.55  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 2.22/0.55  % Starting SubtermCWHack with 151s (1) cores
% 2.22/0.55  % Starting new_ho_10 with 901s (1) cores
% 2.22/0.55  % Starting sh5l with 151s (1) cores
% 2.22/0.55  % Starting sh3l with 151s (1) cores
% 2.22/0.55  % Preprocessing time       : 0.002 s
% 2.22/0.55  % Presaturation interreduction done
% 2.22/0.55  
% 2.22/0.55  % Proof found!
% 2.22/0.55  % SZS status Theorem
% 2.22/0.55  % SZS output start CNFRefutation
% See solution above
% 2.22/0.55  % Parsed axioms                        : 18
% 2.22/0.55  % Removed by relevancy pruning/SinE    : 0
% 2.22/0.55  % Initial clauses                      : 23
% 2.22/0.55  % Removed in clause preprocessing      : 11
% 2.22/0.55  % Initial clauses in saturation        : 12
% 2.22/0.55  % Processed clauses                    : 492
% 2.22/0.55  % ...of these trivial                  : 19
% 2.22/0.55  % ...subsumed                          : 115
% 2.22/0.55  % ...remaining for further processing  : 358
% 2.22/0.55  % Other redundant clauses eliminated   : 0
% 2.22/0.55  % Clauses deleted for lack of memory   : 0
% 2.22/0.55  % Backward-subsumed                    : 57
% 2.22/0.55  % Backward-rewritten                   : 7
% 2.22/0.55  % Generated clauses                    : 2403
% 2.22/0.55  % ...of the previous two non-redundant : 2219
% 2.22/0.55  % ...aggressively subsumed             : 0
% 2.22/0.55  % Contextual simplify-reflections      : 44
% 2.22/0.55  % Paramodulations                      : 2403
% 2.22/0.55  % Factorizations                       : 0
% 2.22/0.55  % NegExts                              : 0
% 2.22/0.55  % Equation resolutions                 : 0
% 2.22/0.55  % Disequality decompositions           : 0
% 2.22/0.55  % Total rewrite steps                  : 2241
% 2.22/0.55  % ...of those cached                   : 2226
% 2.22/0.55  % Propositional unsat checks           : 0
% 2.22/0.55  %    Propositional check models        : 0
% 2.22/0.55  %    Propositional check unsatisfiable : 0
% 2.22/0.55  %    Propositional clauses             : 0
% 2.22/0.55  %    Propositional clauses after purity: 0
% 2.22/0.55  %    Propositional unsat core size     : 0
% 2.22/0.55  %    Propositional preprocessing time  : 0.000
% 2.22/0.55  %    Propositional encoding time       : 0.000
% 2.22/0.55  %    Propositional solver time         : 0.000
% 2.22/0.55  %    Success case prop preproc time    : 0.000
% 2.22/0.55  %    Success case prop encoding time   : 0.000
% 2.22/0.55  %    Success case prop solver time     : 0.000
% 2.22/0.55  % Current number of processed clauses  : 282
% 2.22/0.55  %    Positive orientable unit clauses  : 15
% 2.22/0.55  %    Positive unorientable unit clauses: 0
% 2.22/0.55  %    Negative unit clauses             : 2
% 2.22/0.55  %    Non-unit-clauses                  : 265
% 2.22/0.55  % Current number of unprocessed clauses: 1721
% 2.22/0.55  % ...number of literals in the above   : 16785
% 2.22/0.55  % Current number of archived formulas  : 0
% 2.22/0.55  % Current number of archived clauses   : 76
% 2.22/0.55  % Clause-clause subsumption calls (NU) : 33401
% 2.22/0.55  % Rec. Clause-clause subsumption calls : 4644
% 2.22/0.55  % Non-unit clause-clause subsumptions  : 207
% 2.22/0.55  % Unit Clause-clause subsumption calls : 1156
% 2.22/0.55  % Rewrite failures with RHS unbound    : 0
% 2.22/0.55  % BW rewrite match attempts            : 18
% 2.22/0.55  % BW rewrite match successes           : 3
% 2.22/0.55  % Condensation attempts                : 0
% 2.22/0.55  % Condensation successes               : 0
% 2.22/0.55  % Termbank termtop insertions          : 416207
% 2.22/0.55  % Search garbage collected termcells   : 891
% 2.22/0.55  
% 2.22/0.55  % -------------------------------------------------
% 2.22/0.55  % User time                : 0.285 s
% 2.22/0.55  % System time              : 0.017 s
% 2.22/0.55  % Total time               : 0.302 s
% 2.22/0.55  % Maximum resident set size: 3644 pages
% 2.22/0.55  
% 2.22/0.55  % -------------------------------------------------
% 2.22/0.55  % User time                : 1.352 s
% 2.22/0.55  % System time              : 0.054 s
% 2.22/0.55  % Total time               : 1.406 s
% 2.22/0.55  % Maximum resident set size: 4608 pages
% 2.22/0.55  % E exiting
%------------------------------------------------------------------------------