TSTP Solution File: SEU743^2 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SEU743^2 : TPTP v8.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 03:29:46 EDT 2024

% Result   : Theorem 3.52s 0.94s
% Output   : CNFRefutation 3.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   38 (   7 unt;  13 typ;   0 def)
%            Number of atoms       :  135 (   0 equ;   0 cnn)
%            Maximal formula atoms :   28 (   5 avg)
%            Number of connectives :  706 (  57   ~;  55   |;   9   &; 539   @)
%                                         (   4 <=>;  42  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   31 (  11 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  13 usr;   9 con; 0-3 aty)
%            Number of variables   :   84 (   0   ^  84   !;   0   ?;  84   :)

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

thf(decl_23,type,
    powerset: $i > $i ).

thf(decl_24,type,
    binunion: $i > $i > $i ).

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

thf(decl_26,type,
    binintersectT_lem: $o ).

thf(decl_27,type,
    binunionT_lem: $o ).

thf(decl_28,type,
    powersetTI1: $o ).

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

thf(decl_30,type,
    esk1_3: $i > $i > $i > $i ).

thf(decl_31,type,
    esk2_0: $i ).

thf(decl_32,type,
    esk3_0: $i ).

thf(decl_33,type,
    esk4_0: $i ).

thf(decl_34,type,
    esk5_0: $i ).

thf(intersectInPowersetIntersectUnions,conjecture,
    ( binintersectT_lem
   => ( binunionT_lem
     => ( powersetTI1
       => ( inIntersectImpInIntersectUnions
         => ! [X1: $i,X2: $i] :
              ( ( in @ X2 @ ( powerset @ X1 ) )
             => ! [X3: $i] :
                  ( ( in @ X3 @ ( powerset @ X1 ) )
                 => ! [X5: $i] :
                      ( ( in @ X5 @ ( powerset @ X1 ) )
                     => ( in @ ( binintersect @ X2 @ X3 ) @ ( powerset @ ( binintersect @ ( binunion @ X2 @ X5 ) @ ( binunion @ X3 @ X5 ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersectInPowersetIntersectUnions) ).

thf(binintersectT_lem,axiom,
    ( binintersectT_lem
  <=> ! [X1: $i,X2: $i] :
        ( ( in @ X2 @ ( powerset @ X1 ) )
       => ! [X3: $i] :
            ( ( in @ X3 @ ( powerset @ X1 ) )
           => ( in @ ( binintersect @ X2 @ X3 ) @ ( powerset @ X1 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binintersectT_lem) ).

thf(binunionT_lem,axiom,
    ( binunionT_lem
  <=> ! [X1: $i,X2: $i] :
        ( ( in @ X2 @ ( powerset @ X1 ) )
       => ! [X3: $i] :
            ( ( in @ X3 @ ( powerset @ X1 ) )
           => ( in @ ( binunion @ X2 @ X3 ) @ ( powerset @ X1 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binunionT_lem) ).

thf(powersetTI1,axiom,
    ( powersetTI1
  <=> ! [X1: $i,X2: $i] :
        ( ( in @ X2 @ ( powerset @ X1 ) )
       => ! [X3: $i] :
            ( ( in @ X3 @ ( powerset @ X1 ) )
           => ( ! [X4: $i] :
                  ( ( in @ X4 @ X1 )
                 => ( ( in @ X4 @ X2 )
                   => ( in @ X4 @ X3 ) ) )
             => ( in @ X2 @ ( powerset @ X3 ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',powersetTI1) ).

thf(inIntersectImpInIntersectUnions,axiom,
    ( inIntersectImpInIntersectUnions
  <=> ! [X1: $i,X2: $i] :
        ( ( in @ X2 @ ( powerset @ X1 ) )
       => ! [X3: $i] :
            ( ( in @ X3 @ ( powerset @ X1 ) )
           => ! [X5: $i] :
                ( ( in @ X5 @ ( powerset @ X1 ) )
               => ! [X4: $i] :
                    ( ( in @ X4 @ X1 )
                   => ( ( in @ X4 @ ( binintersect @ X2 @ X3 ) )
                     => ( in @ X4 @ ( binintersect @ ( binunion @ X2 @ X5 ) @ ( binunion @ X3 @ X5 ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inIntersectImpInIntersectUnions) ).

thf(c_0_5,negated_conjecture,
    ~ ( ! [X25: $i,X26: $i] :
          ( ( in @ X26 @ ( powerset @ X25 ) )
         => ! [X27: $i] :
              ( ( in @ X27 @ ( powerset @ X25 ) )
             => ( in @ ( binintersect @ X26 @ X27 ) @ ( powerset @ X25 ) ) ) )
     => ( ! [X28: $i,X29: $i] :
            ( ( in @ X29 @ ( powerset @ X28 ) )
           => ! [X30: $i] :
                ( ( in @ X30 @ ( powerset @ X28 ) )
               => ( in @ ( binunion @ X29 @ X30 ) @ ( powerset @ X28 ) ) ) )
       => ( ! [X31: $i,X32: $i] :
              ( ( in @ X32 @ ( powerset @ X31 ) )
             => ! [X33: $i] :
                  ( ( in @ X33 @ ( powerset @ X31 ) )
                 => ( ! [X34: $i] :
                        ( ( in @ X34 @ X31 )
                       => ( ( in @ X34 @ X32 )
                         => ( in @ X34 @ X33 ) ) )
                   => ( in @ X32 @ ( powerset @ X33 ) ) ) ) )
         => ( ! [X35: $i,X36: $i] :
                ( ( in @ X36 @ ( powerset @ X35 ) )
               => ! [X37: $i] :
                    ( ( in @ X37 @ ( powerset @ X35 ) )
                   => ! [X38: $i] :
                        ( ( in @ X38 @ ( powerset @ X35 ) )
                       => ! [X39: $i] :
                            ( ( in @ X39 @ X35 )
                           => ( ( in @ X39 @ ( binintersect @ X36 @ X37 ) )
                             => ( in @ X39 @ ( binintersect @ ( binunion @ X36 @ X38 ) @ ( binunion @ X37 @ X38 ) ) ) ) ) ) ) )
           => ! [X1: $i,X2: $i] :
                ( ( in @ X2 @ ( powerset @ X1 ) )
               => ! [X3: $i] :
                    ( ( in @ X3 @ ( powerset @ X1 ) )
                   => ! [X5: $i] :
                        ( ( in @ X5 @ ( powerset @ X1 ) )
                       => ( in @ ( binintersect @ X2 @ X3 ) @ ( powerset @ ( binintersect @ ( binunion @ X2 @ X5 ) @ ( binunion @ X3 @ X5 ) ) ) ) ) ) ) ) ) ) ),
    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)],[intersectInPowersetIntersectUnions]),binintersectT_lem]),binunionT_lem]),powersetTI1]),inIntersectImpInIntersectUnions]) ).

thf(c_0_6,negated_conjecture,
    ! [X40: $i,X41: $i,X42: $i,X43: $i,X44: $i,X45: $i,X46: $i,X47: $i,X48: $i,X50: $i,X51: $i,X52: $i,X53: $i,X54: $i] :
      ( ( ~ ( in @ X41 @ ( powerset @ X40 ) )
        | ~ ( in @ X42 @ ( powerset @ X40 ) )
        | ( in @ ( binintersect @ X41 @ X42 ) @ ( powerset @ X40 ) ) )
      & ( ~ ( in @ X44 @ ( powerset @ X43 ) )
        | ~ ( in @ X45 @ ( powerset @ X43 ) )
        | ( in @ ( binunion @ X44 @ X45 ) @ ( powerset @ X43 ) ) )
      & ( ( in @ ( esk1_3 @ X46 @ X47 @ X48 ) @ X46 )
        | ( in @ X47 @ ( powerset @ X48 ) )
        | ~ ( in @ X48 @ ( powerset @ X46 ) )
        | ~ ( in @ X47 @ ( powerset @ X46 ) ) )
      & ( ( in @ ( esk1_3 @ X46 @ X47 @ X48 ) @ X47 )
        | ( in @ X47 @ ( powerset @ X48 ) )
        | ~ ( in @ X48 @ ( powerset @ X46 ) )
        | ~ ( in @ X47 @ ( powerset @ X46 ) ) )
      & ( ~ ( in @ ( esk1_3 @ X46 @ X47 @ X48 ) @ X48 )
        | ( in @ X47 @ ( powerset @ X48 ) )
        | ~ ( in @ X48 @ ( powerset @ X46 ) )
        | ~ ( in @ X47 @ ( powerset @ X46 ) ) )
      & ( ~ ( in @ X51 @ ( powerset @ X50 ) )
        | ~ ( in @ X52 @ ( powerset @ X50 ) )
        | ~ ( in @ X53 @ ( powerset @ X50 ) )
        | ~ ( in @ X54 @ X50 )
        | ~ ( in @ X54 @ ( binintersect @ X51 @ X52 ) )
        | ( in @ X54 @ ( binintersect @ ( binunion @ X51 @ X53 ) @ ( binunion @ X52 @ X53 ) ) ) )
      & ( in @ esk3_0 @ ( powerset @ esk2_0 ) )
      & ( in @ esk4_0 @ ( powerset @ esk2_0 ) )
      & ( in @ esk5_0 @ ( powerset @ esk2_0 ) )
      & ~ ( in @ ( binintersect @ esk3_0 @ esk4_0 ) @ ( powerset @ ( binintersect @ ( binunion @ esk3_0 @ esk5_0 ) @ ( binunion @ esk4_0 @ esk5_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_5])])])])])]) ).

thf(c_0_7,negated_conjecture,
    ! [X2: $i,X1: $i,X4: $i,X5: $i,X3: $i] :
      ( ( in @ X5 @ ( binintersect @ ( binunion @ X1 @ X4 ) @ ( binunion @ X3 @ X4 ) ) )
      | ~ ( in @ X1 @ ( powerset @ X2 ) )
      | ~ ( in @ X3 @ ( powerset @ X2 ) )
      | ~ ( in @ X4 @ ( powerset @ X2 ) )
      | ~ ( in @ X5 @ X2 )
      | ~ ( in @ X5 @ ( binintersect @ X1 @ X3 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

thf(c_0_8,negated_conjecture,
    in @ esk5_0 @ ( powerset @ esk2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

thf(c_0_9,negated_conjecture,
    ! [X3: $i,X2: $i,X1: $i] :
      ( ( in @ X2 @ ( powerset @ X3 ) )
      | ~ ( in @ ( esk1_3 @ X1 @ X2 @ X3 ) @ X3 )
      | ~ ( in @ X3 @ ( powerset @ X1 ) )
      | ~ ( in @ X2 @ ( powerset @ X1 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

thf(c_0_10,negated_conjecture,
    ! [X3: $i,X2: $i,X1: $i] :
      ( ( in @ X1 @ ( binintersect @ ( binunion @ X2 @ esk5_0 ) @ ( binunion @ X3 @ esk5_0 ) ) )
      | ~ ( in @ X1 @ ( binintersect @ X2 @ X3 ) )
      | ~ ( in @ X3 @ ( powerset @ esk2_0 ) )
      | ~ ( in @ X2 @ ( powerset @ esk2_0 ) )
      | ~ ( in @ X1 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

thf(c_0_11,negated_conjecture,
    ! [X1: $i,X3: $i,X2: $i,X4: $i] :
      ( ( in @ X1 @ ( powerset @ ( binintersect @ ( binunion @ X2 @ esk5_0 ) @ ( binunion @ X3 @ esk5_0 ) ) ) )
      | ~ ( in @ ( esk1_3 @ X4 @ X1 @ ( binintersect @ ( binunion @ X2 @ esk5_0 ) @ ( binunion @ X3 @ esk5_0 ) ) ) @ ( binintersect @ X2 @ X3 ) )
      | ~ ( in @ ( esk1_3 @ X4 @ X1 @ ( binintersect @ ( binunion @ X2 @ esk5_0 ) @ ( binunion @ X3 @ esk5_0 ) ) ) @ esk2_0 )
      | ~ ( in @ ( binintersect @ ( binunion @ X2 @ esk5_0 ) @ ( binunion @ X3 @ esk5_0 ) ) @ ( powerset @ X4 ) )
      | ~ ( in @ X3 @ ( powerset @ esk2_0 ) )
      | ~ ( in @ X2 @ ( powerset @ esk2_0 ) )
      | ~ ( in @ X1 @ ( powerset @ X4 ) ) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

thf(c_0_12,negated_conjecture,
    ! [X3: $i,X2: $i,X1: $i] :
      ( ( in @ ( esk1_3 @ X1 @ X2 @ X3 ) @ X2 )
      | ( in @ X2 @ ( powerset @ X3 ) )
      | ~ ( in @ X3 @ ( powerset @ X1 ) )
      | ~ ( in @ X2 @ ( powerset @ X1 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

thf(c_0_13,negated_conjecture,
    ! [X3: $i,X2: $i,X1: $i] :
      ( ( in @ ( binintersect @ X1 @ X2 ) @ ( powerset @ ( binintersect @ ( binunion @ X1 @ esk5_0 ) @ ( binunion @ X2 @ esk5_0 ) ) ) )
      | ~ ( in @ ( esk1_3 @ X3 @ ( binintersect @ X1 @ X2 ) @ ( binintersect @ ( binunion @ X1 @ esk5_0 ) @ ( binunion @ X2 @ esk5_0 ) ) ) @ esk2_0 )
      | ~ ( in @ ( binintersect @ ( binunion @ X1 @ esk5_0 ) @ ( binunion @ X2 @ esk5_0 ) ) @ ( powerset @ X3 ) )
      | ~ ( in @ ( binintersect @ X1 @ X2 ) @ ( powerset @ X3 ) )
      | ~ ( in @ X2 @ ( powerset @ esk2_0 ) )
      | ~ ( in @ X1 @ ( powerset @ esk2_0 ) ) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

thf(c_0_14,negated_conjecture,
    ! [X3: $i,X2: $i,X1: $i] :
      ( ( in @ ( esk1_3 @ X1 @ X2 @ X3 ) @ X1 )
      | ( in @ X2 @ ( powerset @ X3 ) )
      | ~ ( in @ X3 @ ( powerset @ X1 ) )
      | ~ ( in @ X2 @ ( powerset @ X1 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

thf(c_0_15,negated_conjecture,
    ! [X1: $i,X3: $i,X2: $i] :
      ( ( in @ ( binintersect @ X1 @ X3 ) @ ( powerset @ X2 ) )
      | ~ ( in @ X1 @ ( powerset @ X2 ) )
      | ~ ( in @ X3 @ ( powerset @ X2 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

thf(c_0_16,negated_conjecture,
    ~ ( in @ ( binintersect @ esk3_0 @ esk4_0 ) @ ( powerset @ ( binintersect @ ( binunion @ esk3_0 @ esk5_0 ) @ ( binunion @ esk4_0 @ esk5_0 ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

thf(c_0_17,negated_conjecture,
    ! [X2: $i,X1: $i] :
      ( ( in @ ( binintersect @ X1 @ X2 ) @ ( powerset @ ( binintersect @ ( binunion @ X1 @ esk5_0 ) @ ( binunion @ X2 @ esk5_0 ) ) ) )
      | ~ ( in @ ( binintersect @ ( binunion @ X1 @ esk5_0 ) @ ( binunion @ X2 @ esk5_0 ) ) @ ( powerset @ esk2_0 ) )
      | ~ ( in @ X2 @ ( powerset @ esk2_0 ) )
      | ~ ( in @ X1 @ ( powerset @ esk2_0 ) ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).

thf(c_0_18,negated_conjecture,
    in @ esk4_0 @ ( powerset @ esk2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

thf(c_0_19,negated_conjecture,
    in @ esk3_0 @ ( powerset @ esk2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

thf(c_0_20,negated_conjecture,
    ~ ( in @ ( binintersect @ ( binunion @ esk3_0 @ esk5_0 ) @ ( binunion @ esk4_0 @ esk5_0 ) ) @ ( powerset @ esk2_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19])]) ).

thf(c_0_21,negated_conjecture,
    ( ~ ( in @ ( binunion @ esk4_0 @ esk5_0 ) @ ( powerset @ esk2_0 ) )
    | ~ ( in @ ( binunion @ esk3_0 @ esk5_0 ) @ ( powerset @ esk2_0 ) ) ),
    inference(spm,[status(thm)],[c_0_20,c_0_15]) ).

thf(c_0_22,negated_conjecture,
    ! [X1: $i,X3: $i,X2: $i] :
      ( ( in @ ( binunion @ X1 @ X3 ) @ ( powerset @ X2 ) )
      | ~ ( in @ X1 @ ( powerset @ X2 ) )
      | ~ ( in @ X3 @ ( powerset @ X2 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

thf(c_0_23,negated_conjecture,
    ~ ( in @ ( binunion @ esk4_0 @ esk5_0 ) @ ( powerset @ esk2_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_8]),c_0_19])]) ).

thf(c_0_24,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_22]),c_0_8]),c_0_18])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem    : SEU743^2 : TPTP v8.2.0. Released v3.7.0.
% 0.13/0.15  % Command    : run_E %s %d THM
% 0.14/0.37  % Computer : n015.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit   : 300
% 0.14/0.37  % WCLimit    : 300
% 0.14/0.37  % DateTime   : Sun May 19 16:35:38 EDT 2024
% 0.14/0.37  % CPUTime    : 
% 0.23/0.51  Running higher-order theorem proving
% 0.23/0.51  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/benchmark/theBenchmark.p
% 3.52/0.94  # Version: 3.1.0-ho
% 3.52/0.94  # Preprocessing class: HSSSSLSSSLSNFFN.
% 3.52/0.94  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.52/0.94  # Starting lpo6_lambda_fix with 1500s (5) cores
% 3.52/0.94  # Starting post_as_ho8 with 300s (1) cores
% 3.52/0.94  # Starting post_as_ho3 with 300s (1) cores
% 3.52/0.94  # Starting post_as_ho2 with 300s (1) cores
% 3.52/0.94  # post_as_ho3 with pid 5046 completed with status 0
% 3.52/0.94  # Result found by post_as_ho3
% 3.52/0.94  # Preprocessing class: HSSSSLSSSLSNFFN.
% 3.52/0.94  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.52/0.94  # Starting lpo6_lambda_fix with 1500s (5) cores
% 3.52/0.94  # Starting post_as_ho8 with 300s (1) cores
% 3.52/0.94  # Starting post_as_ho3 with 300s (1) cores
% 3.52/0.94  # No SInE strategy applied
% 3.52/0.94  # Search class: HGUNF-FFSS32-MFFFMFNN
% 3.52/0.94  # partial match(2): HGUNF-FFSF32-SFFFMFNN
% 3.52/0.94  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 3.52/0.94  # Starting new_ho_10 with 163s (1) cores
% 3.52/0.94  # new_ho_10 with pid 5051 completed with status 0
% 3.52/0.94  # Result found by new_ho_10
% 3.52/0.94  # Preprocessing class: HSSSSLSSSLSNFFN.
% 3.52/0.94  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.52/0.94  # Starting lpo6_lambda_fix with 1500s (5) cores
% 3.52/0.94  # Starting post_as_ho8 with 300s (1) cores
% 3.52/0.94  # Starting post_as_ho3 with 300s (1) cores
% 3.52/0.94  # No SInE strategy applied
% 3.52/0.94  # Search class: HGUNF-FFSS32-MFFFMFNN
% 3.52/0.94  # partial match(2): HGUNF-FFSF32-SFFFMFNN
% 3.52/0.94  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 3.52/0.94  # Starting new_ho_10 with 163s (1) cores
% 3.52/0.94  # Preprocessing time       : 0.001 s
% 3.52/0.94  # Presaturation interreduction done
% 3.52/0.94  
% 3.52/0.94  # Proof found!
% 3.52/0.94  # SZS status Theorem
% 3.52/0.94  # SZS output start CNFRefutation
% See solution above
% 3.52/0.94  # Parsed axioms                        : 13
% 3.52/0.94  # Removed by relevancy pruning/SinE    : 0
% 3.52/0.94  # Initial clauses                      : 18
% 3.52/0.94  # Removed in clause preprocessing      : 8
% 3.52/0.94  # Initial clauses in saturation        : 10
% 3.52/0.94  # Processed clauses                    : 421
% 3.52/0.94  # ...of these trivial                  : 0
% 3.52/0.94  # ...subsumed                          : 69
% 3.52/0.94  # ...remaining for further processing  : 352
% 3.52/0.94  # Other redundant clauses eliminated   : 0
% 3.52/0.94  # Clauses deleted for lack of memory   : 0
% 3.52/0.94  # Backward-subsumed                    : 1
% 3.52/0.94  # Backward-rewritten                   : 0
% 3.52/0.94  # Generated clauses                    : 6892
% 3.52/0.94  # ...of the previous two non-redundant : 6887
% 3.52/0.94  # ...aggressively subsumed             : 0
% 3.52/0.94  # Contextual simplify-reflections      : 3
% 3.52/0.94  # Paramodulations                      : 6892
% 3.52/0.94  # Factorizations                       : 0
% 3.52/0.94  # NegExts                              : 0
% 3.52/0.94  # Equation resolutions                 : 0
% 3.52/0.94  # Disequality decompositions           : 0
% 3.52/0.94  # Total rewrite steps                  : 9
% 3.52/0.94  # ...of those cached                   : 3
% 3.52/0.94  # Propositional unsat checks           : 0
% 3.52/0.94  #    Propositional check models        : 0
% 3.52/0.94  #    Propositional check unsatisfiable : 0
% 3.52/0.94  #    Propositional clauses             : 0
% 3.52/0.94  #    Propositional clauses after purity: 0
% 3.52/0.94  #    Propositional unsat core size     : 0
% 3.52/0.94  #    Propositional preprocessing time  : 0.000
% 3.52/0.94  #    Propositional encoding time       : 0.000
% 3.52/0.94  #    Propositional solver time         : 0.000
% 3.52/0.94  #    Success case prop preproc time    : 0.000
% 3.52/0.94  #    Success case prop encoding time   : 0.000
% 3.52/0.94  #    Success case prop solver time     : 0.000
% 3.52/0.94  # Current number of processed clauses  : 341
% 3.52/0.94  #    Positive orientable unit clauses  : 6
% 3.52/0.94  #    Positive unorientable unit clauses: 0
% 3.52/0.94  #    Negative unit clauses             : 3
% 3.52/0.94  #    Non-unit-clauses                  : 332
% 3.52/0.94  # Current number of unprocessed clauses: 6486
% 3.52/0.94  # ...number of literals in the above   : 77315
% 3.52/0.94  # Current number of archived formulas  : 0
% 3.52/0.94  # Current number of archived clauses   : 11
% 3.52/0.94  # Clause-clause subsumption calls (NU) : 98042
% 3.52/0.94  # Rec. Clause-clause subsumption calls : 5573
% 3.52/0.94  # Non-unit clause-clause subsumptions  : 72
% 3.52/0.94  # Unit Clause-clause subsumption calls : 30
% 3.52/0.94  # Rewrite failures with RHS unbound    : 0
% 3.52/0.94  # BW rewrite match attempts            : 0
% 3.52/0.94  # BW rewrite match successes           : 0
% 3.52/0.94  # Condensation attempts                : 421
% 3.52/0.94  # Condensation successes               : 0
% 3.52/0.94  # Termbank termtop insertions          : 865680
% 3.52/0.94  # Search garbage collected termcells   : 590
% 3.52/0.94  
% 3.52/0.94  # -------------------------------------------------
% 3.52/0.94  # User time                : 0.397 s
% 3.52/0.94  # System time              : 0.009 s
% 3.52/0.94  # Total time               : 0.406 s
% 3.52/0.94  # Maximum resident set size: 1884 pages
% 3.52/0.94  
% 3.52/0.94  # -------------------------------------------------
% 3.52/0.94  # User time                : 0.398 s
% 3.52/0.94  # System time              : 0.011 s
% 3.52/0.94  # Total time               : 0.410 s
% 3.52/0.94  # Maximum resident set size: 1708 pages
% 3.52/0.94  % E---3.1 exiting
% 3.52/0.94  % E exiting
%------------------------------------------------------------------------------