TSTP Solution File: NUM687^4 by E---3.1.00

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%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : NUM687^4 : TPTP v8.1.2. Released v7.1.0.
% 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 : Sat May  4 08:56:16 EDT 2024

% Result   : Theorem 0.40s 0.69s
% Output   : CNFRefutation 0.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   34
% Syntax   : Number of formulae    :   69 (  33 unt;  20 typ;   0 def)
%            Number of atoms       :  214 (  38 equ;   0 cnn)
%            Maximal formula atoms :   13 (   4 avg)
%            Number of connectives :  433 (  33   ~;  23   |;   7   &; 332   @)
%                                         (   0 <=>;  38  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   43 (  43   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   23 (  20 usr;   7 con; 0-3 aty)
%            Number of variables   :  100 (  72   ^  28   !;   0   ?; 100   :)

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

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

thf(decl_25,type,
    in: $i > $i > $o ).

thf(decl_61,type,
    imp: $o > $o > $o ).

thf(decl_62,type,
    d_not: $o > $o ).

thf(decl_67,type,
    l_or: $o > $o > $o ).

thf(decl_72,type,
    l_some: $i > ( $i > $o ) > $o ).

thf(decl_77,type,
    e_is: $i > $i > $i > $o ).

thf(decl_123,type,
    nat: $i ).

thf(decl_124,type,
    n_is: $i > $i > $o ).

thf(decl_127,type,
    n_some: ( $i > $o ) > $o ).

thf(decl_142,type,
    n_pl: $i > $i > $i ).

thf(decl_147,type,
    diffprop: $i > $i > $i > $o ).

thf(decl_148,type,
    d_29_ii: $i > $i > $o ).

thf(decl_149,type,
    iii: $i > $i > $o ).

thf(decl_151,type,
    moreis: $i > $i > $o ).

thf(decl_155,type,
    esk1_0: $i ).

thf(decl_156,type,
    esk2_0: $i ).

thf(decl_157,type,
    esk3_0: $i ).

thf(decl_158,type,
    esk4_0: $i ).

thf(def_d_not,axiom,
    ( d_not
    = ( ^ [X76: $o] : ( imp @ X76 @ ~ $true ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.b9Impsm9FZ/E---3.1_1267.p',def_d_not) ).

thf(def_imp,axiom,
    ( imp
    = ( ^ [X74: $o,X75: $o] :
          ( X74
         => X75 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.b9Impsm9FZ/E---3.1_1267.p',def_imp) ).

thf(def_d_29_ii,axiom,
    ( d_29_ii
    = ( ^ [X1: $i,X210: $i] : ( n_some @ ( diffprop @ X1 @ X210 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.b9Impsm9FZ/E---3.1_1267.p',def_d_29_ii) ).

thf(def_l_or,axiom,
    ( l_or
    = ( ^ [X83: $o] : ( imp @ ( d_not @ X83 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.b9Impsm9FZ/E---3.1_1267.p',def_l_or) ).

thf(def_e_is,axiom,
    ( e_is
    = ( ^ [X1: $i,X101: $i,X102: $i] : ( X101 = X102 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.b9Impsm9FZ/E---3.1_1267.p',def_e_is) ).

thf(def_moreis,axiom,
    ( moreis
    = ( ^ [X1: $i,X229: $i] : ( l_or @ ( d_29_ii @ X1 @ X229 ) @ ( n_is @ X1 @ X229 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.b9Impsm9FZ/E---3.1_1267.p',def_moreis) ).

thf(def_n_some,axiom,
    ( n_some
    = ( l_some @ nat ) ),
    file('/export/starexec/sandbox/tmp/tmp.b9Impsm9FZ/E---3.1_1267.p',def_n_some) ).

thf(def_n_is,axiom,
    ( n_is
    = ( ^ [Z0: $i,Z1: $i] : ( Z0 = Z1 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.b9Impsm9FZ/E---3.1_1267.p',def_n_is) ).

thf(def_all_of,axiom,
    ( all_of
    = ( ^ [X3: $i > $o,X2: $i > $o] :
        ! [X4: $i] :
          ( ( is_of @ X4 @ X3 )
         => ( X2 @ X4 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.b9Impsm9FZ/E---3.1_1267.p',def_all_of) ).

thf(def_is_of,axiom,
    ( is_of
    = ( ^ [X1: $i,X2: $i > $o] : ( X2 @ X1 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.b9Impsm9FZ/E---3.1_1267.p',def_is_of) ).

thf(def_iii,axiom,
    ( iii
    = ( ^ [X1: $i,X211: $i] : ( n_some @ ( diffprop @ X211 @ X1 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.b9Impsm9FZ/E---3.1_1267.p',def_iii) ).

thf(satz22a,conjecture,
    ( all_of
    @ ^ [X1: $i] : ( in @ X1 @ nat )
    @ ^ [X1: $i] :
        ( all_of
        @ ^ [X311: $i] : ( in @ X311 @ nat )
        @ ^ [X312: $i] :
            ( all_of
            @ ^ [X4: $i] : ( in @ X4 @ nat )
            @ ^ [X4: $i] :
                ( all_of
                @ ^ [X13: $i] : ( in @ X13 @ nat )
                @ ^ [X13: $i] :
                    ( ( moreis @ X1 @ X312 )
                   => ( ( d_29_ii @ X4 @ X13 )
                     => ( d_29_ii @ ( n_pl @ X1 @ X4 ) @ ( n_pl @ X312 @ X13 ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.b9Impsm9FZ/E---3.1_1267.p',satz22a) ).

thf(satz21a,axiom,
    ( all_of
    @ ^ [X1: $i] : ( in @ X1 @ nat )
    @ ^ [X1: $i] :
        ( all_of
        @ ^ [X309: $i] : ( in @ X309 @ nat )
        @ ^ [X310: $i] :
            ( all_of
            @ ^ [X4: $i] : ( in @ X4 @ nat )
            @ ^ [X4: $i] :
                ( all_of
                @ ^ [X13: $i] : ( in @ X13 @ nat )
                @ ^ [X13: $i] :
                    ( ( iii @ X1 @ X310 )
                   => ( ( iii @ X4 @ X13 )
                     => ( iii @ ( n_pl @ X1 @ X4 ) @ ( n_pl @ X310 @ X13 ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.b9Impsm9FZ/E---3.1_1267.p',satz21a) ).

thf(satz19f,axiom,
    ( all_of
    @ ^ [X1: $i] : ( in @ X1 @ nat )
    @ ^ [X1: $i] :
        ( all_of
        @ ^ [X277: $i] : ( in @ X277 @ nat )
        @ ^ [X278: $i] :
            ( all_of
            @ ^ [X4: $i] : ( in @ X4 @ nat )
            @ ^ [X4: $i] :
                ( ( iii @ X1 @ X278 )
               => ( iii @ ( n_pl @ X4 @ X1 ) @ ( n_pl @ X4 @ X278 ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.b9Impsm9FZ/E---3.1_1267.p',satz19f) ).

thf(c_0_14,plain,
    ( d_not
    = ( ^ [Z0: $o] :
          ( Z0
         => ~ $true ) ) ),
    inference(fof_simplification,[status(thm)],[def_d_not]) ).

thf(c_0_15,plain,
    ( imp
    = ( ^ [Z0: $o,Z1: $o] :
          ( Z0
         => Z1 ) ) ),
    inference(fof_simplification,[status(thm)],[def_imp]) ).

thf(c_0_16,plain,
    ( d_29_ii
    = ( ^ [Z0: $i,Z1: $i] : ( l_some @ nat @ ( diffprop @ Z0 @ Z1 ) ) ) ),
    inference(fof_simplification,[status(thm)],[def_d_29_ii]) ).

thf(c_0_17,plain,
    ( l_or
    = ( ^ [Z0: $o,Z1: $o] :
          ( ( Z0
           => ~ $true )
         => Z1 ) ) ),
    inference(fof_simplification,[status(thm)],[def_l_or]) ).

thf(c_0_18,plain,
    ( d_not
    = ( ^ [Z0: $o] :
          ( Z0
         => ~ $true ) ) ),
    inference(apply_def,[status(thm)],[c_0_14,c_0_15]) ).

thf(c_0_19,plain,
    ( e_is
    = ( ^ [Z0: $i,Z1: $i,Z2: $i] : ( Z1 = Z2 ) ) ),
    inference(fof_simplification,[status(thm)],[def_e_is]) ).

thf(c_0_20,plain,
    ( moreis
    = ( ^ [Z0: $i,Z1: $i] :
          ( ( ( l_some @ nat @ ( diffprop @ Z0 @ Z1 ) )
           => ~ $true )
         => ( Z0 = Z1 ) ) ) ),
    inference(fof_simplification,[status(thm)],[def_moreis]) ).

thf(c_0_21,plain,
    ( d_29_ii
    = ( ^ [Z0: $i,Z1: $i] : ( l_some @ nat @ ( diffprop @ Z0 @ Z1 ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_16,def_n_some]) ).

thf(c_0_22,plain,
    ( l_or
    = ( ^ [Z0: $o,Z1: $o] :
          ( ( Z0
           => ~ $true )
         => Z1 ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_17,c_0_15]),c_0_18]) ).

thf(c_0_23,axiom,
    ( n_is
    = ( ^ [Z0: $i,Z1: $i] : ( Z0 = Z1 ) ) ),
    inference(apply_def,[status(thm)],[def_n_is,c_0_19]) ).

thf(c_0_24,plain,
    ( all_of
    = ( ^ [Z0: $i > $o,Z1: $i > $o] :
        ! [X4: $i] :
          ( ( Z0 @ X4 )
         => ( Z1 @ X4 ) ) ) ),
    inference(fof_simplification,[status(thm)],[def_all_of]) ).

thf(c_0_25,plain,
    ( is_of
    = ( ^ [Z0: $i,Z1: $i > $o] : ( Z1 @ Z0 ) ) ),
    inference(fof_simplification,[status(thm)],[def_is_of]) ).

thf(c_0_26,plain,
    ( iii
    = ( ^ [Z0: $i,Z1: $i] : ( l_some @ nat @ ( diffprop @ Z1 @ Z0 ) ) ) ),
    inference(fof_simplification,[status(thm)],[def_iii]) ).

thf(c_0_27,plain,
    ( moreis
    = ( ^ [Z0: $i,Z1: $i] :
          ( ( ( l_some @ nat @ ( diffprop @ Z0 @ Z1 ) )
           => ~ $true )
         => ( Z0 = Z1 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23]) ).

thf(c_0_28,plain,
    ( all_of
    = ( ^ [Z0: $i > $o,Z1: $i > $o] :
        ! [X4: $i] :
          ( ( Z0 @ X4 )
         => ( Z1 @ X4 ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_24,c_0_25]) ).

thf(c_0_29,plain,
    ( iii
    = ( ^ [Z0: $i,Z1: $i] : ( l_some @ nat @ ( diffprop @ Z1 @ Z0 ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_26,def_n_some]) ).

thf(c_0_30,negated_conjecture,
    ~ ! [X383: $i] :
        ( ( in @ X383 @ nat )
       => ! [X382: $i] :
            ( ( in @ X382 @ nat )
           => ! [X381: $i] :
                ( ( in @ X381 @ nat )
               => ! [X380: $i] :
                    ( ( in @ X380 @ nat )
                   => ( ( ( ( l_some @ nat @ ( diffprop @ X383 @ X382 ) )
                         => ~ $true )
                       => ( X383 = X382 ) )
                     => ( ( l_some @ nat @ ( diffprop @ X381 @ X380 ) )
                       => ( l_some @ nat @ ( diffprop @ ( n_pl @ X383 @ X381 ) @ ( n_pl @ X382 @ X380 ) ) ) ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz22a])]),c_0_27]),c_0_21]),c_0_28]) ).

thf(c_0_31,plain,
    ! [X474: $i] :
      ( ( in @ X474 @ nat )
     => ! [X473: $i] :
          ( ( in @ X473 @ nat )
         => ! [X472: $i] :
              ( ( in @ X472 @ nat )
             => ! [X471: $i] :
                  ( ( in @ X471 @ nat )
                 => ( ( l_some @ nat @ ( diffprop @ X473 @ X474 ) )
                   => ( ( l_some @ nat @ ( diffprop @ X471 @ X472 ) )
                     => ( l_some @ nat @ ( diffprop @ ( n_pl @ X473 @ X471 ) @ ( n_pl @ X474 @ X472 ) ) ) ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz21a]),c_0_29]),c_0_28]) ).

thf(c_0_32,negated_conjecture,
    ( ( in @ esk1_0 @ nat )
    & ( in @ esk2_0 @ nat )
    & ( in @ esk3_0 @ nat )
    & ( in @ esk4_0 @ nat )
    & ( ( l_some @ nat @ ( diffprop @ esk1_0 @ esk2_0 ) )
      | ( esk1_0 = esk2_0 ) )
    & ( $true
      | ( esk1_0 = esk2_0 ) )
    & ( l_some @ nat @ ( diffprop @ esk3_0 @ esk4_0 ) )
    & ~ ( l_some @ nat @ ( diffprop @ ( n_pl @ esk1_0 @ esk3_0 ) @ ( n_pl @ esk2_0 @ esk4_0 ) ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])])]) ).

thf(c_0_33,plain,
    ! [X654: $i,X655: $i,X656: $i,X657: $i] :
      ( ~ ( in @ X654 @ nat )
      | ~ ( in @ X655 @ nat )
      | ~ ( in @ X656 @ nat )
      | ~ ( in @ X657 @ nat )
      | ~ ( l_some @ nat @ ( diffprop @ X655 @ X654 ) )
      | ~ ( l_some @ nat @ ( diffprop @ X657 @ X656 ) )
      | ( l_some @ nat @ ( diffprop @ ( n_pl @ X655 @ X657 ) @ ( n_pl @ X654 @ X656 ) ) ) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])]) ).

thf(c_0_34,negated_conjecture,
    ~ ( l_some @ nat @ ( diffprop @ ( n_pl @ esk1_0 @ esk3_0 ) @ ( n_pl @ esk2_0 @ esk4_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

thf(c_0_35,plain,
    ! [X1: $i,X4: $i,X6: $i,X5: $i] :
      ( ( l_some @ nat @ ( diffprop @ ( n_pl @ X4 @ X6 ) @ ( n_pl @ X1 @ X5 ) ) )
      | ~ ( in @ X1 @ nat )
      | ~ ( in @ X4 @ nat )
      | ~ ( in @ X5 @ nat )
      | ~ ( in @ X6 @ nat )
      | ~ ( l_some @ nat @ ( diffprop @ X4 @ X1 ) )
      | ~ ( l_some @ nat @ ( diffprop @ X6 @ X5 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

thf(c_0_36,negated_conjecture,
    l_some @ nat @ ( diffprop @ esk3_0 @ esk4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

thf(c_0_37,negated_conjecture,
    in @ esk3_0 @ nat,
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

thf(c_0_38,negated_conjecture,
    in @ esk4_0 @ nat,
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

thf(c_0_39,negated_conjecture,
    in @ esk1_0 @ nat,
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

thf(c_0_40,negated_conjecture,
    in @ esk2_0 @ nat,
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

thf(c_0_41,negated_conjecture,
    ( ( l_some @ nat @ ( diffprop @ esk1_0 @ esk2_0 ) )
    | ( esk1_0 = esk2_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

thf(c_0_42,negated_conjecture,
    ~ ( l_some @ nat @ ( diffprop @ esk1_0 @ esk2_0 ) ),
    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(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40])]) ).

thf(c_0_43,plain,
    ! [X432: $i] :
      ( ( in @ X432 @ nat )
     => ! [X431: $i] :
          ( ( in @ X431 @ nat )
         => ! [X430: $i] :
              ( ( in @ X430 @ nat )
             => ( ( l_some @ nat @ ( diffprop @ X431 @ X432 ) )
               => ( l_some @ nat @ ( diffprop @ ( n_pl @ X430 @ X431 ) @ ( n_pl @ X430 @ X432 ) ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz19f]),c_0_29]),c_0_28]) ).

thf(c_0_44,negated_conjecture,
    esk2_0 = esk1_0,
    inference(sr,[status(thm)],[c_0_41,c_0_42]) ).

thf(c_0_45,plain,
    ! [X613: $i,X614: $i,X615: $i] :
      ( ~ ( in @ X613 @ nat )
      | ~ ( in @ X614 @ nat )
      | ~ ( in @ X615 @ nat )
      | ~ ( l_some @ nat @ ( diffprop @ X614 @ X613 ) )
      | ( l_some @ nat @ ( diffprop @ ( n_pl @ X615 @ X614 ) @ ( n_pl @ X615 @ X613 ) ) ) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])]) ).

thf(c_0_46,negated_conjecture,
    ~ ( l_some @ nat @ ( diffprop @ ( n_pl @ esk1_0 @ esk3_0 ) @ ( n_pl @ esk1_0 @ esk4_0 ) ) ),
    inference(spm,[status(thm)],[c_0_34,c_0_44]) ).

thf(c_0_47,plain,
    ! [X5: $i,X4: $i,X1: $i] :
      ( ( l_some @ nat @ ( diffprop @ ( n_pl @ X5 @ X4 ) @ ( n_pl @ X5 @ X1 ) ) )
      | ~ ( in @ X1 @ nat )
      | ~ ( in @ X4 @ nat )
      | ~ ( in @ X5 @ nat )
      | ~ ( l_some @ nat @ ( diffprop @ X4 @ X1 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

thf(c_0_48,negated_conjecture,
    $false,
    inference(cn,[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_36]),c_0_39]),c_0_37]),c_0_38])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.16  % Problem    : NUM687^4 : TPTP v8.1.2. Released v7.1.0.
% 0.13/0.17  % Command    : run_E %s %d THM
% 0.17/0.39  % Computer : n015.cluster.edu
% 0.17/0.39  % Model    : x86_64 x86_64
% 0.17/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.39  % Memory   : 8042.1875MB
% 0.17/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.39  % CPULimit   : 300
% 0.17/0.39  % WCLimit    : 300
% 0.17/0.39  % DateTime   : Fri May  3 09:39:51 EDT 2024
% 0.17/0.39  % CPUTime    : 
% 0.24/0.56  Running higher-order theorem proving
% 0.24/0.56  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.b9Impsm9FZ/E---3.1_1267.p
% 0.40/0.69  # Version: 3.1.0-ho
% 0.40/0.69  # Preprocessing class: HSLMSMSSLLLCHSA.
% 0.40/0.69  # Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 0.40/0.69  # Starting lpo1_fix with 900s (3) cores
% 0.40/0.69  # Starting full_lambda_9 with 300s (1) cores
% 0.40/0.69  # Starting almost_fo_4 with 300s (1) cores
% 0.40/0.69  # Starting new_ho_9 with 300s (1) cores
% 0.40/0.69  # Starting pre_casc_4 with 300s (1) cores
% 0.40/0.69  # Starting ho_unfolding_6 with 300s (1) cores
% 0.40/0.69  # full_lambda_9 with pid 1429 completed with status 0
% 0.40/0.69  # Result found by full_lambda_9
% 0.40/0.69  # Preprocessing class: HSLMSMSSLLLCHSA.
% 0.40/0.69  # Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 0.40/0.69  # Starting lpo1_fix with 900s (3) cores
% 0.40/0.69  # Starting full_lambda_9 with 300s (1) cores
% 0.40/0.69  # SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true)
% 0.40/0.69  # Search class: HGHSM-FSLM32-DHSMMSBN
% 0.40/0.69  # partial match(1): HGHSM-FSLM32-MHSMMSBN
% 0.40/0.69  # Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.40/0.69  # Starting full_lambda_5 with 25s (1) cores
% 0.40/0.69  # full_lambda_5 with pid 1445 completed with status 0
% 0.40/0.69  # Result found by full_lambda_5
% 0.40/0.69  # Preprocessing class: HSLMSMSSLLLCHSA.
% 0.40/0.69  # Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 0.40/0.69  # Starting lpo1_fix with 900s (3) cores
% 0.40/0.69  # Starting full_lambda_9 with 300s (1) cores
% 0.40/0.69  # SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true)
% 0.40/0.69  # Search class: HGHSM-FSLM32-DHSMMSBN
% 0.40/0.69  # partial match(1): HGHSM-FSLM32-MHSMMSBN
% 0.40/0.69  # Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.40/0.69  # Starting full_lambda_5 with 25s (1) cores
% 0.40/0.69  # Preprocessing time       : 0.006 s
% 0.40/0.69  # Presaturation interreduction done
% 0.40/0.69  
% 0.40/0.69  # Proof found!
% 0.40/0.69  # SZS status Theorem
% 0.40/0.69  # SZS output start CNFRefutation
% See solution above
% 0.40/0.69  # Parsed axioms                        : 391
% 0.40/0.69  # Removed by relevancy pruning/SinE    : 263
% 0.40/0.69  # Initial clauses                      : 340
% 0.40/0.69  # Removed in clause preprocessing      : 175
% 0.40/0.69  # Initial clauses in saturation        : 165
% 0.40/0.69  # Processed clauses                    : 354
% 0.40/0.69  # ...of these trivial                  : 5
% 0.40/0.69  # ...subsumed                          : 83
% 0.40/0.69  # ...remaining for further processing  : 266
% 0.40/0.69  # Other redundant clauses eliminated   : 20
% 0.40/0.69  # Clauses deleted for lack of memory   : 0
% 0.40/0.69  # Backward-subsumed                    : 0
% 0.40/0.69  # Backward-rewritten                   : 5
% 0.40/0.69  # Generated clauses                    : 732
% 0.40/0.69  # ...of the previous two non-redundant : 704
% 0.40/0.69  # ...aggressively subsumed             : 0
% 0.40/0.69  # Contextual simplify-reflections      : 1
% 0.40/0.69  # Paramodulations                      : 543
% 0.40/0.69  # Factorizations                       : 2
% 0.40/0.69  # NegExts                              : 2
% 0.40/0.69  # Equation resolutions                 : 26
% 0.40/0.69  # Disequality decompositions           : 0
% 0.40/0.69  # Total rewrite steps                  : 144
% 0.40/0.69  # ...of those cached                   : 127
% 0.40/0.69  # Propositional unsat checks           : 0
% 0.40/0.69  #    Propositional check models        : 0
% 0.40/0.69  #    Propositional check unsatisfiable : 0
% 0.40/0.69  #    Propositional clauses             : 0
% 0.40/0.69  #    Propositional clauses after purity: 0
% 0.40/0.69  #    Propositional unsat core size     : 0
% 0.40/0.69  #    Propositional preprocessing time  : 0.000
% 0.40/0.69  #    Propositional encoding time       : 0.000
% 0.40/0.69  #    Propositional solver time         : 0.000
% 0.40/0.69  #    Success case prop preproc time    : 0.000
% 0.40/0.69  #    Success case prop encoding time   : 0.000
% 0.40/0.69  #    Success case prop solver time     : 0.000
% 0.40/0.69  # Current number of processed clauses  : 137
% 0.40/0.69  #    Positive orientable unit clauses  : 20
% 0.40/0.69  #    Positive unorientable unit clauses: 0
% 0.40/0.69  #    Negative unit clauses             : 11
% 0.40/0.69  #    Non-unit-clauses                  : 106
% 0.40/0.69  # Current number of unprocessed clauses: 625
% 0.40/0.69  # ...number of literals in the above   : 3268
% 0.40/0.69  # Current number of archived formulas  : 0
% 0.40/0.69  # Current number of archived clauses   : 117
% 0.40/0.69  # Clause-clause subsumption calls (NU) : 5391
% 0.40/0.69  # Rec. Clause-clause subsumption calls : 1398
% 0.40/0.69  # Non-unit clause-clause subsumptions  : 80
% 0.40/0.69  # Unit Clause-clause subsumption calls : 90
% 0.40/0.69  # Rewrite failures with RHS unbound    : 0
% 0.40/0.69  # BW rewrite match attempts            : 5
% 0.40/0.69  # BW rewrite match successes           : 1
% 0.40/0.69  # Condensation attempts                : 0
% 0.40/0.69  # Condensation successes               : 0
% 0.40/0.69  # Termbank termtop insertions          : 63529
% 0.40/0.69  # Search garbage collected termcells   : 16465
% 0.40/0.69  
% 0.40/0.69  # -------------------------------------------------
% 0.40/0.69  # User time                : 0.089 s
% 0.40/0.69  # System time              : 0.011 s
% 0.40/0.69  # Total time               : 0.100 s
% 0.40/0.69  # Maximum resident set size: 4812 pages
% 0.40/0.69  
% 0.40/0.69  # -------------------------------------------------
% 0.40/0.69  # User time                : 0.100 s
% 0.40/0.69  # System time              : 0.014 s
% 0.40/0.69  # Total time               : 0.114 s
% 0.40/0.69  # Maximum resident set size: 2360 pages
% 0.40/0.69  % E---3.1 exiting
% 0.40/0.69  % E exiting
%------------------------------------------------------------------------------