TSTP Solution File: SEU689^2 by E---3.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.2.0
% Problem  : SEU689^2 : TPTP v8.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n018.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 15:10:07 EDT 2024

% Result   : Theorem 0.15s 0.48s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   28 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :  132 (  16 equ;   0 cnn)
%            Maximal formula atoms :   22 (   4 avg)
%            Number of connectives :  608 (  48   ~;  61   |;   9   &; 450   @)
%                                         (   2 <=>;  38  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (  10 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   7 con; 0-4 aty)
%            Number of variables   :  110 (  13   ^  97   !;   0   ?; 110   :)

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

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

thf(decl_24,type,
    subsetI1: $o ).

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

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

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

thf(decl_28,type,
    brelnall1: $o ).

thf(decl_29,type,
    esk1_2: $i > $i > $i ).

thf(decl_30,type,
    esk2_4: $i > $i > $i > ( $i > $o ) > $i ).

thf(decl_31,type,
    esk3_4: $i > $i > $i > ( $i > $o ) > $i ).

thf(decl_32,type,
    esk4_0: $i ).

thf(decl_33,type,
    esk5_0: $i ).

thf(decl_34,type,
    esk6_0: $i ).

thf(decl_35,type,
    esk7_0: $i ).

thf(breln,axiom,
    ( breln
    = ( ^ [X1: $i,X2: $i,X4: $i] : ( subset @ X4 @ ( cartprod @ X1 @ X2 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.tawh0MwJ0q/E---3.1_25718.p',breln) ).

thf(brelnall1,axiom,
    ( brelnall1
  <=> ! [X1: $i,X2: $i,X5: $i] :
        ( ( breln @ X1 @ X2 @ X5 )
       => ! [X6: $i > $o] :
            ( ! [X3: $i] :
                ( ( in @ X3 @ X1 )
               => ! [X7: $i] :
                    ( ( in @ X7 @ X2 )
                   => ( ( in @ ( kpair @ X3 @ X7 ) @ X5 )
                     => ( X6 @ ( kpair @ X3 @ X7 ) ) ) ) )
           => ! [X3: $i] :
                ( ( in @ X3 @ X5 )
               => ( X6 @ X3 ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.tawh0MwJ0q/E---3.1_25718.p',brelnall1) ).

thf(subbreln,conjecture,
    ( subsetI1
   => ( brelnall1
     => ! [X1: $i,X2: $i,X5: $i] :
          ( ( breln @ X1 @ X2 @ X5 )
         => ! [X8: $i] :
              ( ( breln @ X1 @ X2 @ X8 )
             => ( ! [X3: $i] :
                    ( ( in @ X3 @ X1 )
                   => ! [X7: $i] :
                        ( ( in @ X7 @ X2 )
                       => ( ( in @ ( kpair @ X3 @ X7 ) @ X5 )
                         => ( in @ ( kpair @ X3 @ X7 ) @ X8 ) ) ) )
               => ( subset @ X5 @ X8 ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.tawh0MwJ0q/E---3.1_25718.p',subbreln) ).

thf(subsetI1,axiom,
    ( subsetI1
  <=> ! [X1: $i,X2: $i] :
        ( ! [X3: $i] :
            ( ( in @ X3 @ X1 )
           => ( in @ X3 @ X2 ) )
       => ( subset @ X1 @ X2 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.tawh0MwJ0q/E---3.1_25718.p',subsetI1) ).

thf(c_0_4,plain,
    ( breln
    = ( ^ [Z0: $i,Z1: $i,Z2: $i] : ( subset @ Z2 @ ( cartprod @ Z0 @ Z1 ) ) ) ),
    inference(fof_simplification,[status(thm)],[breln]) ).

thf(c_0_5,axiom,
    ( brelnall1
    = ( ! [X1: $i,X2: $i,X5: $i] :
          ( ( subset @ X5 @ ( cartprod @ X1 @ X2 ) )
         => ! [X6: $i > $o] :
              ( ! [X3: $i] :
                  ( ( in @ X3 @ X1 )
                 => ! [X7: $i] :
                      ( ( in @ X7 @ X2 )
                     => ( ( in @ ( kpair @ X3 @ X7 ) @ X5 )
                       => ( X6 @ ( kpair @ X3 @ X7 ) ) ) ) )
             => ! [X3: $i] :
                  ( ( in @ X3 @ X5 )
                 => ( X6 @ X3 ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[brelnall1,c_0_4]) ).

thf(c_0_6,negated_conjecture,
    ~ ( ! [X25: $i,X26: $i] :
          ( ! [X27: $i] :
              ( ( in @ X27 @ X25 )
             => ( in @ X27 @ X26 ) )
         => ( subset @ X25 @ X26 ) )
     => ( ! [X28: $i,X29: $i,X30: $i] :
            ( ( subset @ X30 @ ( cartprod @ X28 @ X29 ) )
           => ! [X31: $i > $o] :
                ( ! [X32: $i] :
                    ( ( in @ X32 @ X28 )
                   => ! [X33: $i] :
                        ( ( in @ X33 @ X29 )
                       => ( ( in @ ( kpair @ X32 @ X33 ) @ X30 )
                         => ( X31 @ ( kpair @ X32 @ X33 ) ) ) ) )
               => ! [X34: $i] :
                    ( ( in @ X34 @ X30 )
                   => ( X31 @ X34 ) ) ) )
       => ! [X1: $i,X2: $i,X5: $i] :
            ( ( subset @ X5 @ ( cartprod @ X1 @ X2 ) )
           => ! [X8: $i] :
                ( ( subset @ X8 @ ( cartprod @ X1 @ X2 ) )
               => ( ! [X3: $i] :
                      ( ( in @ X3 @ X1 )
                     => ! [X7: $i] :
                          ( ( in @ X7 @ X2 )
                         => ( ( in @ ( kpair @ X3 @ X7 ) @ X5 )
                           => ( in @ ( kpair @ X3 @ X7 ) @ X8 ) ) ) )
                 => ( subset @ X5 @ X8 ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[subbreln]),c_0_5]),subsetI1]),c_0_4]) ).

thf(c_0_7,negated_conjecture,
    ! [X35: $i,X36: $i,X38: $i,X39: $i,X40: $i,X41: $i > $o,X44: $i,X49: $i,X50: $i] :
      ( ( ( in @ ( esk1_2 @ X35 @ X36 ) @ X35 )
        | ( subset @ X35 @ X36 ) )
      & ( ~ ( in @ ( esk1_2 @ X35 @ X36 ) @ X36 )
        | ( subset @ X35 @ X36 ) )
      & ( ( in @ ( esk2_4 @ X38 @ X39 @ X40 @ X41 ) @ X38 )
        | ~ ( in @ X44 @ X40 )
        | ( X41 @ X44 )
        | ~ ( subset @ X40 @ ( cartprod @ X38 @ X39 ) ) )
      & ( ( in @ ( esk3_4 @ X38 @ X39 @ X40 @ X41 ) @ X39 )
        | ~ ( in @ X44 @ X40 )
        | ( X41 @ X44 )
        | ~ ( subset @ X40 @ ( cartprod @ X38 @ X39 ) ) )
      & ( ( in @ ( kpair @ ( esk2_4 @ X38 @ X39 @ X40 @ X41 ) @ ( esk3_4 @ X38 @ X39 @ X40 @ X41 ) ) @ X40 )
        | ~ ( in @ X44 @ X40 )
        | ( X41 @ X44 )
        | ~ ( subset @ X40 @ ( cartprod @ X38 @ X39 ) ) )
      & ( ~ ( X41 @ ( kpair @ ( esk2_4 @ X38 @ X39 @ X40 @ X41 ) @ ( esk3_4 @ X38 @ X39 @ X40 @ X41 ) ) )
        | ~ ( in @ X44 @ X40 )
        | ( X41 @ X44 )
        | ~ ( subset @ X40 @ ( cartprod @ X38 @ X39 ) ) )
      & ( subset @ esk6_0 @ ( cartprod @ esk4_0 @ esk5_0 ) )
      & ( subset @ esk7_0 @ ( cartprod @ esk4_0 @ esk5_0 ) )
      & ( ~ ( in @ X49 @ esk4_0 )
        | ~ ( in @ X50 @ esk5_0 )
        | ~ ( in @ ( kpair @ X49 @ X50 ) @ esk6_0 )
        | ( in @ ( kpair @ X49 @ X50 ) @ esk7_0 ) )
      & ~ ( subset @ esk6_0 @ esk7_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_6])])])])])]) ).

thf(c_0_8,negated_conjecture,
    ! [X1: $i,X6: $i > $o,X4: $i,X3: $i,X2: $i] :
      ( ( X6 @ X4 )
      | ~ ( X6 @ ( kpair @ ( esk2_4 @ X1 @ X2 @ X3 @ X6 ) @ ( esk3_4 @ X1 @ X2 @ X3 @ X6 ) ) )
      | ~ ( in @ X4 @ X3 )
      | ~ ( subset @ X3 @ ( cartprod @ X1 @ X2 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

thf(c_0_9,negated_conjecture,
    ! [X1: $i,X2: $i,X4: $i,X3: $i] :
      ( ( ( kpair
          @ ( esk2_4 @ X1 @ X2 @ X3
            @ ^ [Z0: $i] : ( Z0 != X4 ) )
          @ ( esk3_4 @ X1 @ X2 @ X3
            @ ^ [Z0: $i] : ( Z0 != X4 ) ) )
        = X4 )
      | ~ ( subset @ X3 @ ( cartprod @ X1 @ X2 ) )
      | ~ ( in @ X4 @ X3 ) ),
    inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]),c_0_8]) ).

thf(c_0_10,negated_conjecture,
    ! [X1: $i,X2: $i] :
      ( ( in @ ( esk1_2 @ X1 @ X2 ) @ X1 )
      | ( subset @ X1 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

thf(c_0_11,negated_conjecture,
    ! [X1: $i,X6: $i > $o,X4: $i,X3: $i,X2: $i] :
      ( ( in @ ( esk3_4 @ X1 @ X2 @ X3 @ X6 ) @ X2 )
      | ( X6 @ X4 )
      | ~ ( in @ X4 @ X3 )
      | ~ ( subset @ X3 @ ( cartprod @ X1 @ X2 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

thf(c_0_12,negated_conjecture,
    subset @ esk6_0 @ ( cartprod @ esk4_0 @ esk5_0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

thf(c_0_13,negated_conjecture,
    ! [X1: $i,X2: $i] :
      ( ( in @ ( kpair @ X1 @ X2 ) @ esk7_0 )
      | ~ ( in @ X1 @ esk4_0 )
      | ~ ( in @ X2 @ esk5_0 )
      | ~ ( in @ ( kpair @ X1 @ X2 ) @ esk6_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

thf(c_0_14,negated_conjecture,
    ! [X1: $i,X4: $i,X3: $i,X2: $i] :
      ( ( ( kpair
          @ ( esk2_4 @ X1 @ X2 @ X3
            @ ^ [Z0: $i] :
                ( Z0
               != ( esk1_2 @ X3 @ X4 ) ) )
          @ ( esk3_4 @ X1 @ X2 @ X3
            @ ^ [Z0: $i] :
                ( Z0
               != ( esk1_2 @ X3 @ X4 ) ) ) )
        = ( esk1_2 @ X3 @ X4 ) )
      | ( subset @ X3 @ X4 )
      | ~ ( subset @ X3 @ ( cartprod @ X1 @ X2 ) ) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

thf(c_0_15,negated_conjecture,
    ! [X6: $i > $o,X1: $i] :
      ( ( in @ ( esk3_4 @ esk4_0 @ esk5_0 @ esk6_0 @ X6 ) @ esk5_0 )
      | ( X6 @ X1 )
      | ~ ( in @ X1 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

thf(c_0_16,negated_conjecture,
    ! [X1: $i,X6: $i > $o,X4: $i,X3: $i,X2: $i] :
      ( ( in @ ( esk2_4 @ X1 @ X2 @ X3 @ X6 ) @ X1 )
      | ( X6 @ X4 )
      | ~ ( in @ X4 @ X3 )
      | ~ ( subset @ X3 @ ( cartprod @ X1 @ X2 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

thf(c_0_17,negated_conjecture,
    ! [X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( in @ ( esk1_2 @ X1 @ X2 ) @ esk7_0 )
      | ( subset @ X1 @ X2 )
      | ~ ( in
          @ ( esk3_4 @ X3 @ X4 @ X1
            @ ^ [Z0: $i] :
                ( Z0
               != ( esk1_2 @ X1 @ X2 ) ) )
          @ esk5_0 )
      | ~ ( in
          @ ( esk2_4 @ X3 @ X4 @ X1
            @ ^ [Z0: $i] :
                ( Z0
               != ( esk1_2 @ X1 @ X2 ) ) )
          @ esk4_0 )
      | ~ ( in @ ( esk1_2 @ X1 @ X2 ) @ esk6_0 )
      | ~ ( subset @ X1 @ ( cartprod @ X3 @ X4 ) ) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

thf(c_0_18,negated_conjecture,
    ! [X6: $i > $o,X1: $i] :
      ( ( in @ ( esk3_4 @ esk4_0 @ esk5_0 @ esk6_0 @ X6 ) @ esk5_0 )
      | ( X6 @ ( esk1_2 @ esk6_0 @ X1 ) )
      | ( subset @ esk6_0 @ X1 ) ),
    inference(spm,[status(thm)],[c_0_15,c_0_10]) ).

thf(c_0_19,negated_conjecture,
    ! [X6: $i > $o,X1: $i] :
      ( ( in @ ( esk2_4 @ esk4_0 @ esk5_0 @ esk6_0 @ X6 ) @ esk4_0 )
      | ( X6 @ X1 )
      | ~ ( in @ X1 @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_16,c_0_12]) ).

thf(c_0_20,negated_conjecture,
    ! [X2: $i,X1: $i] :
      ( ( in @ ( esk1_2 @ esk6_0 @ X1 ) @ esk7_0 )
      | ( subset @ esk6_0 @ X2 )
      | ( subset @ esk6_0 @ X1 )
      | ( ( esk1_2 @ esk6_0 @ X2 )
       != ( esk1_2 @ esk6_0 @ X1 ) )
      | ~ ( in
          @ ( esk2_4 @ esk4_0 @ esk5_0 @ esk6_0
            @ ^ [Z0: $i] :
                ( Z0
               != ( esk1_2 @ esk6_0 @ X1 ) ) )
          @ esk4_0 ) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18])]),c_0_12])]),c_0_10]) ).

thf(c_0_21,negated_conjecture,
    ! [X6: $i > $o,X1: $i] :
      ( ( in @ ( esk2_4 @ esk4_0 @ esk5_0 @ esk6_0 @ X6 ) @ esk4_0 )
      | ( X6 @ ( esk1_2 @ esk6_0 @ X1 ) )
      | ( subset @ esk6_0 @ X1 ) ),
    inference(spm,[status(thm)],[c_0_19,c_0_10]) ).

thf(c_0_22,negated_conjecture,
    ! [X3: $i,X2: $i,X1: $i] :
      ( ( in @ ( esk1_2 @ esk6_0 @ X1 ) @ esk7_0 )
      | ( subset @ esk6_0 @ X2 )
      | ( subset @ esk6_0 @ X1 )
      | ( subset @ esk6_0 @ X3 )
      | ( ( esk1_2 @ esk6_0 @ X2 )
       != ( esk1_2 @ esk6_0 @ X1 ) )
      | ( ( esk1_2 @ esk6_0 @ X3 )
       != ( esk1_2 @ esk6_0 @ X1 ) ) ),
    inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21])]) ).

thf(c_0_23,negated_conjecture,
    ! [X2: $i,X1: $i] :
      ( ( in @ ( esk1_2 @ esk6_0 @ X1 ) @ esk7_0 )
      | ( subset @ esk6_0 @ X2 )
      | ( subset @ esk6_0 @ X1 )
      | ( ( esk1_2 @ esk6_0 @ X2 )
       != ( esk1_2 @ esk6_0 @ X1 ) ) ),
    inference(er,[status(thm)],[c_0_22]) ).

thf(c_0_24,negated_conjecture,
    ! [X1: $i,X2: $i] :
      ( ( subset @ X1 @ X2 )
      | ~ ( in @ ( esk1_2 @ X1 @ X2 ) @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

thf(c_0_25,negated_conjecture,
    ! [X1: $i] :
      ( ( in @ ( esk1_2 @ esk6_0 @ X1 ) @ esk7_0 )
      | ( subset @ esk6_0 @ X1 ) ),
    inference(er,[status(thm)],[c_0_23]) ).

thf(c_0_26,negated_conjecture,
    ~ ( subset @ esk6_0 @ esk7_0 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

thf(c_0_27,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SEU689^2 : TPTP v8.2.0. Released v3.7.0.
% 0.00/0.09  % Command    : run_E %s %d THM
% 0.08/0.29  % Computer : n018.cluster.edu
% 0.08/0.29  % Model    : x86_64 x86_64
% 0.08/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29  % Memory   : 8042.1875MB
% 0.08/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29  % CPULimit   : 300
% 0.08/0.29  % WCLimit    : 300
% 0.08/0.29  % DateTime   : Fri Jun 21 13:04:38 EDT 2024
% 0.13/0.29  % CPUTime    : 
% 0.15/0.40  Running higher-order theorem proving
% 0.15/0.40  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.tawh0MwJ0q/E---3.1_25718.p
% 0.15/0.48  # Version: 3.2.0-ho
% 0.15/0.48  # Preprocessing class: HSSSSLSSSLSNSFA.
% 0.15/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.48  # Starting post_as_ho5 with 1500s (5) cores
% 0.15/0.48  # Starting post_as_ho10 with 300s (1) cores
% 0.15/0.48  # Starting post_as_ho4 with 300s (1) cores
% 0.15/0.48  # Starting sh5l with 300s (1) cores
% 0.15/0.48  # post_as_ho5 with pid 25797 completed with status 0
% 0.15/0.48  # Result found by post_as_ho5
% 0.15/0.48  # Preprocessing class: HSSSSLSSSLSNSFA.
% 0.15/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.48  # Starting post_as_ho5 with 1500s (5) cores
% 0.15/0.48  # SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true)
% 0.15/0.48  # Search class: HGUNF-FFSF32-SSFFMSBN
% 0.15/0.48  # partial match(2): HGUNF-FFSF11-SSFFMSBN
% 0.15/0.48  # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.48  # Starting post_as_ho12 with 601s (1) cores
% 0.15/0.48  # Starting new_ho_8 with 226s (1) cores
% 0.15/0.48  # Starting new_ho_4 with 226s (1) cores
% 0.15/0.48  # Starting post_as_ho5 with 226s (1) cores
% 0.15/0.48  # Starting post_as_ho4 with 221s (1) cores
% 0.15/0.48  # post_as_ho5 with pid 25807 completed with status 0
% 0.15/0.48  # Result found by post_as_ho5
% 0.15/0.48  # Preprocessing class: HSSSSLSSSLSNSFA.
% 0.15/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.48  # Starting post_as_ho5 with 1500s (5) cores
% 0.15/0.48  # SinE strategy is GSinE(CountFormulas,,true,1.0,0,2,20000,1.0,true)
% 0.15/0.48  # Search class: HGUNF-FFSF32-SSFFMSBN
% 0.15/0.48  # partial match(2): HGUNF-FFSF11-SSFFMSBN
% 0.15/0.48  # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.48  # Starting post_as_ho12 with 601s (1) cores
% 0.15/0.48  # Starting new_ho_8 with 226s (1) cores
% 0.15/0.48  # Starting new_ho_4 with 226s (1) cores
% 0.15/0.48  # Starting post_as_ho5 with 226s (1) cores
% 0.15/0.48  # Preprocessing time       : 0.001 s
% 0.15/0.48  # Presaturation interreduction done
% 0.15/0.48  
% 0.15/0.48  # Proof found!
% 0.15/0.48  # SZS status Theorem
% 0.15/0.48  # SZS output start CNFRefutation
% See solution above
% 0.15/0.48  # Parsed axioms                        : 11
% 0.15/0.48  # Removed by relevancy pruning/SinE    : 7
% 0.15/0.48  # Initial clauses                      : 10
% 0.15/0.48  # Removed in clause preprocessing      : 0
% 0.15/0.48  # Initial clauses in saturation        : 10
% 0.15/0.48  # Processed clauses                    : 109
% 0.15/0.48  # ...of these trivial                  : 6
% 0.15/0.48  # ...subsumed                          : 9
% 0.15/0.48  # ...remaining for further processing  : 94
% 0.15/0.48  # Other redundant clauses eliminated   : 3
% 0.15/0.48  # Clauses deleted for lack of memory   : 0
% 0.15/0.48  # Backward-subsumed                    : 3
% 0.15/0.48  # Backward-rewritten                   : 0
% 0.15/0.48  # Generated clauses                    : 735
% 0.15/0.48  # ...of the previous two non-redundant : 643
% 0.15/0.48  # ...aggressively subsumed             : 0
% 0.15/0.48  # Contextual simplify-reflections      : 1
% 0.15/0.48  # Paramodulations                      : 684
% 0.15/0.48  # Factorizations                       : 12
% 0.15/0.48  # NegExts                              : 7
% 0.15/0.48  # Equation resolutions                 : 18
% 0.15/0.48  # Disequality decompositions           : 0
% 0.15/0.48  # Total rewrite steps                  : 68
% 0.15/0.48  # ...of those cached                   : 58
% 0.15/0.48  # Propositional unsat checks           : 0
% 0.15/0.48  #    Propositional check models        : 0
% 0.15/0.48  #    Propositional check unsatisfiable : 0
% 0.15/0.48  #    Propositional clauses             : 0
% 0.15/0.48  #    Propositional clauses after purity: 0
% 0.15/0.48  #    Propositional unsat core size     : 0
% 0.15/0.48  #    Propositional preprocessing time  : 0.000
% 0.15/0.48  #    Propositional encoding time       : 0.000
% 0.15/0.48  #    Propositional solver time         : 0.000
% 0.15/0.48  #    Success case prop preproc time    : 0.000
% 0.15/0.48  #    Success case prop encoding time   : 0.000
% 0.15/0.48  #    Success case prop solver time     : 0.000
% 0.15/0.48  # Current number of processed clauses  : 75
% 0.15/0.48  #    Positive orientable unit clauses  : 3
% 0.15/0.48  #    Positive unorientable unit clauses: 0
% 0.15/0.48  #    Negative unit clauses             : 1
% 0.15/0.48  #    Non-unit-clauses                  : 71
% 0.15/0.48  # Current number of unprocessed clauses: 529
% 0.15/0.48  # ...number of literals in the above   : 2709
% 0.15/0.48  # Current number of archived formulas  : 0
% 0.15/0.48  # Current number of archived clauses   : 19
% 0.15/0.48  # Clause-clause subsumption calls (NU) : 475
% 0.15/0.48  # Rec. Clause-clause subsumption calls : 109
% 0.15/0.48  # Non-unit clause-clause subsumptions  : 13
% 0.15/0.48  # Unit Clause-clause subsumption calls : 2
% 0.15/0.48  # Rewrite failures with RHS unbound    : 0
% 0.15/0.48  # BW rewrite match attempts            : 4
% 0.15/0.48  # BW rewrite match successes           : 0
% 0.15/0.48  # Condensation attempts                : 0
% 0.15/0.48  # Condensation successes               : 0
% 0.15/0.48  # Termbank termtop insertions          : 183326
% 0.15/0.48  # Search garbage collected termcells   : 510
% 0.15/0.48  
% 0.15/0.48  # -------------------------------------------------
% 0.15/0.48  # User time                : 0.063 s
% 0.15/0.48  # System time              : 0.006 s
% 0.15/0.48  # Total time               : 0.069 s
% 0.15/0.48  # Maximum resident set size: 1964 pages
% 0.15/0.48  
% 0.15/0.48  # -------------------------------------------------
% 0.15/0.48  # User time                : 0.326 s
% 0.15/0.48  # System time              : 0.019 s
% 0.15/0.48  # Total time               : 0.345 s
% 0.15/0.48  # Maximum resident set size: 1716 pages
% 0.15/0.48  % E---3.1 exiting
% 0.15/0.48  % E exiting
%------------------------------------------------------------------------------