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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : ITP158^1 : TPTP v9.3.1. Released v7.5.0.
% 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 08:04:32 AM UTC 2026

% Result   : Theorem 4.27s 1.01s
% Output   : CNFRefutation 4.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   31 (  11 unt;   0 typ;   0 def)
%            Number of atoms       :   76 (   4 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  344 (  26   ~;  19   |;   3   &; 288   @)
%                                         (   1 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   8 avg)
%            Number of types       :   10 (   9 usr)
%            Number of type conns  :   19 (  19   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   24 (  22 usr;   6 con; 0-3 aty)
%            Number of variables   :   47 (   1   ^;  44   !;   2   ?;  47   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_sort1,type,
    list_P796095576elle_U: $tType ).

thf(decl_sort2,type,
    list_nat: $tType ).

thf(decl_sort3,type,
    nat: $tType ).

thf(decl_sort4,type,
    list_P512754263e_form: $tType ).

thf(decl_sort5,type,
    prover1687215943e_form: $tType ).

thf(decl_sort6,type,
    set_nat: $tType ).

thf(decl_sort7,type,
    set_Pr619177522elle_U: $tType ).

thf(decl_sort8,type,
    produc227817602le_U_o: $tType ).

thf(decl_sort9,type,
    prover_Mirabelle_U: $tType ).

thf(decl_29,type,
    append1038020460e_form: list_P512754263e_form > list_P512754263e_form > list_P512754263e_form ).

thf(decl_53,type,
    cons_P1475164433e_form: prover1687215943e_form > list_P512754263e_form > list_P512754263e_form ).

thf(decl_59,type,
    nil_Pr1384483009e_form: list_P512754263e_form ).

thf(decl_63,type,
    set_nat2: list_nat > set_nat ).

thf(decl_95,type,
    produc1069574002le_U_o: set_Pr619177522elle_U > ( nat > list_P796095576elle_U > $o ) > produc227817602le_U_o ).

thf(decl_96,type,
    prover1282070756_SEval: produc227817602le_U_o > ( nat > prover_Mirabelle_U ) > list_P512754263e_form > $o ).

thf(decl_97,type,
    prover1539709396Svalid: list_P512754263e_form > $o ).

thf(decl_98,type,
    prover1577896257_finst: prover1687215943e_form > nat > prover1687215943e_form ).

thf(decl_101,type,
    prover571163162e_FAll: prover1687215943e_form > prover1687215943e_form ).

thf(decl_103,type,
    prover1847600056is_env: produc227817602le_U_o > ( nat > prover_Mirabelle_U ) > $o ).

thf(decl_106,type,
    prover_Mirabelle_sfv: list_P512754263e_form > list_nat ).

thf(decl_114,type,
    member_nat: nat > set_nat > $o ).

thf(decl_126,type,
    a: set_Pr619177522elle_U ).

thf(decl_127,type,
    b: nat > list_P796095576elle_U > $o ).

thf(decl_128,type,
    f: prover1687215943e_form ).

thf(decl_129,type,
    s: list_P512754263e_form ).

thf(decl_130,type,
    u: nat ).

thf(decl_132,type,
    esk2_1: list_P512754263e_form > produc227817602le_U_o ).

thf(decl_133,type,
    esk3_1: list_P512754263e_form > nat > prover_Mirabelle_U ).

thf(decl_440,type,
    esk290_1: produc227817602le_U_o > set_Pr619177522elle_U ).

thf(decl_441,type,
    epred21_1: produc227817602le_U_o > nat > list_P796095576elle_U > $o ).

thf(decl_587,type,
    esk429_0: nat > prover_Mirabelle_U ).

thf(conj_2,conjecture,
    ! [X870: nat > prover_Mirabelle_U] :
      ( ~ ( prover1847600056is_env @ ( produc1069574002le_U_o @ a @ b ) @ X870 )
      | ( prover1282070756_SEval @ ( produc1069574002le_U_o @ a @ b ) @ X870 @ ( cons_P1475164433e_form @ ( prover571163162e_FAll @ f ) @ s ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.3i5YOFtziZ/E---3.1_3144207.p',conj_2) ).

thf(fact_23_Svalid__def,axiom,
    ( prover1539709396Svalid
    = ( ^ [X34: list_P512754263e_form] :
        ! [X35: produc227817602le_U_o,X36: nat > prover_Mirabelle_U] :
          ( ( prover1847600056is_env @ X35 @ X36 )
         => ( prover1282070756_SEval @ X35 @ X36 @ X34 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.3i5YOFtziZ/E---3.1_3144207.p',fact_23_Svalid__def) ).

thf(conj_1,hypothesis,
    ! [X867: set_Pr619177522elle_U,X868: nat > list_P796095576elle_U > $o,X869: nat > prover_Mirabelle_U] :
      ( ( prover1847600056is_env @ ( produc1069574002le_U_o @ X867 @ X868 ) @ X869 )
     => ( prover1282070756_SEval @ ( produc1069574002le_U_o @ X867 @ X868 ) @ X869 @ ( append1038020460e_form @ s @ ( cons_P1475164433e_form @ ( prover1577896257_finst @ f @ u ) @ nil_Pr1384483009e_form ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.3i5YOFtziZ/E---3.1_3144207.p',conj_1) ).

thf(fact_193_surj__pair,axiom,
    ! [X472: produc227817602le_U_o] :
    ? [X473: set_Pr619177522elle_U,X474: nat > list_P796095576elle_U > $o] :
      ( X472
      = ( produc1069574002le_U_o @ X473 @ X474 ) ),
    file('/export/starexec/sandbox/tmp/tmp.3i5YOFtziZ/E---3.1_3144207.p',fact_193_surj__pair) ).

thf(fact_4_sound__FAll,axiom,
    ! [X11: nat,X12: prover1687215943e_form,X5: list_P512754263e_form] :
      ( ~ ( member_nat @ X11 @ ( set_nat2 @ ( prover_Mirabelle_sfv @ ( cons_P1475164433e_form @ ( prover571163162e_FAll @ X12 ) @ X5 ) ) ) )
     => ( ( prover1539709396Svalid @ ( append1038020460e_form @ X5 @ ( cons_P1475164433e_form @ ( prover1577896257_finst @ X12 @ X11 ) @ nil_Pr1384483009e_form ) ) )
       => ( prover1539709396Svalid @ ( cons_P1475164433e_form @ ( prover571163162e_FAll @ X12 ) @ X5 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.3i5YOFtziZ/E---3.1_3144207.p',fact_4_sound__FAll) ).

thf(conj_0,hypothesis,
    ~ ( member_nat @ u @ ( set_nat2 @ ( prover_Mirabelle_sfv @ ( cons_P1475164433e_form @ ( prover571163162e_FAll @ f ) @ s ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.3i5YOFtziZ/E---3.1_3144207.p',conj_0) ).

thf(c_0_6,negated_conjecture,
    ~ ! [X870: nat > prover_Mirabelle_U] :
        ( ~ ( prover1847600056is_env @ ( produc1069574002le_U_o @ a @ b ) @ X870 )
        | ( prover1282070756_SEval @ ( produc1069574002le_U_o @ a @ b ) @ X870 @ ( cons_P1475164433e_form @ ( prover571163162e_FAll @ f ) @ s ) ) ),
    inference(assume_negation,[status(cth)],[conj_2]) ).

thf(c_0_7,plain,
    ! [X2219: list_P512754263e_form] :
      ( ( prover1539709396Svalid @ X2219 )
    <=> ! [X35: produc227817602le_U_o,X36: nat > prover_Mirabelle_U] :
          ( ( prover1847600056is_env @ X35 @ X36 )
         => ( prover1282070756_SEval @ X35 @ X36 @ X2219 ) ) ),
    inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_23_Svalid__def])]) ).

thf(c_0_8,negated_conjecture,
    ~ ! [X870: nat > prover_Mirabelle_U] :
        ( ~ ( prover1847600056is_env @ ( produc1069574002le_U_o @ a @ b ) @ X870 )
        | ( prover1282070756_SEval @ ( produc1069574002le_U_o @ a @ b ) @ X870 @ ( cons_P1475164433e_form @ ( prover571163162e_FAll @ f ) @ s ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

thf(c_0_9,hypothesis,
    ! [X3762: set_Pr619177522elle_U,X3763: nat > list_P796095576elle_U > $o,X3764: nat > prover_Mirabelle_U] :
      ( ~ ( prover1847600056is_env @ ( produc1069574002le_U_o @ X3762 @ X3763 ) @ X3764 )
      | ( prover1282070756_SEval @ ( produc1069574002le_U_o @ X3762 @ X3763 ) @ X3764 @ ( append1038020460e_form @ s @ ( cons_P1475164433e_form @ ( prover1577896257_finst @ f @ u ) @ nil_Pr1384483009e_form ) ) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_1])])]) ).

thf(c_0_10,plain,
    ! [X3075: produc227817602le_U_o] :
      ( X3075
      = ( produc1069574002le_U_o @ ( esk290_1 @ X3075 ) @ ( epred21_1 @ X3075 ) ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[fact_193_surj__pair])]) ).

thf(c_0_11,plain,
    ! [X2279: list_P512754263e_form,X2280: produc227817602le_U_o,X2281: nat > prover_Mirabelle_U,X2282: list_P512754263e_form] :
      ( ( ~ ( prover1539709396Svalid @ X2279 )
        | ~ ( prover1847600056is_env @ X2280 @ X2281 )
        | ( prover1282070756_SEval @ X2280 @ X2281 @ X2279 ) )
      & ( ( prover1847600056is_env @ ( esk2_1 @ X2282 ) @ ( esk3_1 @ X2282 ) )
        | ( prover1539709396Svalid @ X2282 ) )
      & ( ~ ( prover1282070756_SEval @ ( esk2_1 @ X2282 ) @ ( esk3_1 @ X2282 ) @ X2282 )
        | ( prover1539709396Svalid @ X2282 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])])])]) ).

thf(c_0_12,negated_conjecture,
    ( ( prover1847600056is_env @ ( produc1069574002le_U_o @ a @ b ) @ esk429_0 )
    & ~ ( prover1282070756_SEval @ ( produc1069574002le_U_o @ a @ b ) @ esk429_0 @ ( cons_P1475164433e_form @ ( prover571163162e_FAll @ f ) @ s ) ) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).

thf(c_0_13,plain,
    ! [X11: nat,X12: prover1687215943e_form,X5: list_P512754263e_form] :
      ( ~ ( member_nat @ X11 @ ( set_nat2 @ ( prover_Mirabelle_sfv @ ( cons_P1475164433e_form @ ( prover571163162e_FAll @ X12 ) @ X5 ) ) ) )
     => ( ( prover1539709396Svalid @ ( append1038020460e_form @ X5 @ ( cons_P1475164433e_form @ ( prover1577896257_finst @ X12 @ X11 ) @ nil_Pr1384483009e_form ) ) )
       => ( prover1539709396Svalid @ ( cons_P1475164433e_form @ ( prover571163162e_FAll @ X12 ) @ X5 ) ) ) ),
    inference(fof_simplification,[status(thm)],[fact_4_sound__FAll]) ).

thf(c_0_14,hypothesis,
    ! [X392: nat > list_P796095576elle_U > $o,X391: set_Pr619177522elle_U,X4: nat > prover_Mirabelle_U] :
      ( ( prover1282070756_SEval @ ( produc1069574002le_U_o @ X391 @ X392 ) @ X4 @ ( append1038020460e_form @ s @ ( cons_P1475164433e_form @ ( prover1577896257_finst @ f @ u ) @ nil_Pr1384483009e_form ) ) )
      | ~ ( prover1847600056is_env @ ( produc1069574002le_U_o @ X391 @ X392 ) @ X4 ) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

thf(c_0_15,plain,
    ! [X3: produc227817602le_U_o] :
      ( X3
      = ( produc1069574002le_U_o @ ( esk290_1 @ X3 ) @ ( epred21_1 @ X3 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

thf(c_0_16,hypothesis,
    ~ ( member_nat @ u @ ( set_nat2 @ ( prover_Mirabelle_sfv @ ( cons_P1475164433e_form @ ( prover571163162e_FAll @ f ) @ s ) ) ) ),
    inference(fof_simplification,[status(thm)],[conj_0]) ).

thf(c_0_17,plain,
    ! [X3: produc227817602le_U_o,X5: list_P512754263e_form,X4: nat > prover_Mirabelle_U] :
      ( ( prover1282070756_SEval @ X3 @ X4 @ X5 )
      | ~ ( prover1539709396Svalid @ X5 )
      | ~ ( prover1847600056is_env @ X3 @ X4 ) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

thf(c_0_18,negated_conjecture,
    prover1847600056is_env @ ( produc1069574002le_U_o @ a @ b ) @ esk429_0,
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

thf(c_0_19,plain,
    ! [X2240: nat,X2241: prover1687215943e_form,X2242: list_P512754263e_form] :
      ( ( member_nat @ X2240 @ ( set_nat2 @ ( prover_Mirabelle_sfv @ ( cons_P1475164433e_form @ ( prover571163162e_FAll @ X2241 ) @ X2242 ) ) ) )
      | ~ ( prover1539709396Svalid @ ( append1038020460e_form @ X2242 @ ( cons_P1475164433e_form @ ( prover1577896257_finst @ X2241 @ X2240 ) @ nil_Pr1384483009e_form ) ) )
      | ( prover1539709396Svalid @ ( cons_P1475164433e_form @ ( prover571163162e_FAll @ X2241 ) @ X2242 ) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).

thf(c_0_20,plain,
    ! [X5: list_P512754263e_form] :
      ( ( prover1539709396Svalid @ X5 )
      | ~ ( prover1282070756_SEval @ ( esk2_1 @ X5 ) @ ( esk3_1 @ X5 ) @ X5 ) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

thf(c_0_21,hypothesis,
    ! [X3: produc227817602le_U_o,X4: nat > prover_Mirabelle_U] :
      ( ( prover1282070756_SEval @ X3 @ X4 @ ( append1038020460e_form @ s @ ( cons_P1475164433e_form @ ( prover1577896257_finst @ f @ u ) @ nil_Pr1384483009e_form ) ) )
      | ~ ( prover1847600056is_env @ X3 @ X4 ) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

thf(c_0_22,plain,
    ! [X5: list_P512754263e_form] :
      ( ( prover1847600056is_env @ ( esk2_1 @ X5 ) @ ( esk3_1 @ X5 ) )
      | ( prover1539709396Svalid @ X5 ) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

thf(c_0_23,hypothesis,
    ~ ( member_nat @ u @ ( set_nat2 @ ( prover_Mirabelle_sfv @ ( cons_P1475164433e_form @ ( prover571163162e_FAll @ f ) @ s ) ) ) ),
    inference(fof_nnf,[status(thm)],[c_0_16]) ).

thf(c_0_24,negated_conjecture,
    ~ ( prover1282070756_SEval @ ( produc1069574002le_U_o @ a @ b ) @ esk429_0 @ ( cons_P1475164433e_form @ ( prover571163162e_FAll @ f ) @ s ) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

thf(c_0_25,negated_conjecture,
    ! [X5: list_P512754263e_form] :
      ( ( prover1282070756_SEval @ ( produc1069574002le_U_o @ a @ b ) @ esk429_0 @ X5 )
      | ~ ( prover1539709396Svalid @ X5 ) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

thf(c_0_26,plain,
    ! [X1: prover1687215943e_form,X5: list_P512754263e_form,X8: nat] :
      ( ( member_nat @ X8 @ ( set_nat2 @ ( prover_Mirabelle_sfv @ ( cons_P1475164433e_form @ ( prover571163162e_FAll @ X1 ) @ X5 ) ) ) )
      | ( prover1539709396Svalid @ ( cons_P1475164433e_form @ ( prover571163162e_FAll @ X1 ) @ X5 ) )
      | ~ ( prover1539709396Svalid @ ( append1038020460e_form @ X5 @ ( cons_P1475164433e_form @ ( prover1577896257_finst @ X1 @ X8 ) @ nil_Pr1384483009e_form ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

thf(c_0_27,hypothesis,
    prover1539709396Svalid @ ( append1038020460e_form @ s @ ( cons_P1475164433e_form @ ( prover1577896257_finst @ f @ u ) @ nil_Pr1384483009e_form ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).

thf(c_0_28,hypothesis,
    ~ ( member_nat @ u @ ( set_nat2 @ ( prover_Mirabelle_sfv @ ( cons_P1475164433e_form @ ( prover571163162e_FAll @ f ) @ s ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

thf(c_0_29,negated_conjecture,
    ~ ( prover1539709396Svalid @ ( cons_P1475164433e_form @ ( prover571163162e_FAll @ f ) @ s ) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

thf(c_0_30,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ITP158^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18  % Computer : n014.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Tue Sep 29 20:03:39 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22  Running higher-order theorem proving
% 0.26/0.29  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.3i5YOFtziZ/E---3.1_3144207.p
% 4.27/1.01  % Version: 3.5.1-ho
% 4.27/1.01  % Preprocessing class: HSLMSMSMSSSNHSA.
% 4.27/1.01  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.27/1.01  % Starting ho_unfolding_3 with 1500s (5) cores
% 4.27/1.01  % Starting sh7 with 300s (1) cores
% 4.27/1.01  % Starting ho_unfolding_2 with 300s (1) cores
% 4.27/1.01  % Starting new_bool_12 with 300s (1) cores
% 4.27/1.01  % ho_unfolding_3 with pid 3144227 completed with status 0
% 4.27/1.01  % Result found by ho_unfolding_3
% 4.27/1.01  % Preprocessing class: HSLMSMSMSSSNHSA.
% 4.27/1.01  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.27/1.01  % Starting ho_unfolding_3 with 1500s (5) cores
% 4.27/1.01  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.27/1.01  % No SInE strategy applied
% 4.27/1.01  % Search class: HGHSM-FSLM31-MHSFFSBN
% 4.27/1.01  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 4.27/1.01  % Starting SubtermCWHack with 136s (1) cores
% 4.27/1.01  % Starting ho_unfolding_3 with 151s (1) cores
% 4.27/1.01  % Starting lpo4_lambdas_fix with 136s (1) cores
% 4.27/1.01  % Starting post_as_ho3 with 136s (1) cores
% 4.27/1.01  % Starting full_lambda_10 with 136s (1) cores
% 4.27/1.01  % full_lambda_10 with pid 3144237 completed with status 0
% 4.27/1.01  % Result found by full_lambda_10
% 4.27/1.01  % Preprocessing class: HSLMSMSMSSSNHSA.
% 4.27/1.01  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.27/1.01  % Starting ho_unfolding_3 with 1500s (5) cores
% 4.27/1.01  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.27/1.01  % No SInE strategy applied
% 4.27/1.01  % Search class: HGHSM-FSLM31-MHSFFSBN
% 4.27/1.01  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 4.27/1.01  % Starting SubtermCWHack with 136s (1) cores
% 4.27/1.01  % Starting ho_unfolding_3 with 151s (1) cores
% 4.27/1.01  % Starting lpo4_lambdas_fix with 136s (1) cores
% 4.27/1.01  % Starting post_as_ho3 with 136s (1) cores
% 4.27/1.01  % Starting full_lambda_10 with 136s (1) cores
% 4.27/1.01  % Preprocessing time       : 0.028 s
% 4.27/1.01  % Presaturation interreduction done
% 4.27/1.01  
% 4.27/1.01  % Proof found!
% 4.27/1.01  % SZS status Theorem
% 4.27/1.01  % SZS output start CNFRefutation
% See solution above
% 4.27/1.01  % Parsed axioms                        : 505
% 4.27/1.01  % Removed by relevancy pruning/SinE    : 0
% 4.27/1.01  % Initial clauses                      : 927
% 4.27/1.01  % Removed in clause preprocessing      : 166
% 4.27/1.01  % Initial clauses in saturation        : 761
% 4.27/1.01  % Processed clauses                    : 2317
% 4.27/1.01  % ...of these trivial                  : 42
% 4.27/1.01  % ...subsumed                          : 442
% 4.27/1.01  % ...remaining for further processing  : 1833
% 4.27/1.01  % Other redundant clauses eliminated   : 1391
% 4.27/1.01  % Clauses deleted for lack of memory   : 0
% 4.27/1.01  % Backward-subsumed                    : 4
% 4.27/1.01  % Backward-rewritten                   : 6
% 4.27/1.01  % Generated clauses                    : 14250
% 4.27/1.01  % ...of the previous two non-redundant : 12435
% 4.27/1.01  % ...aggressively subsumed             : 0
% 4.27/1.01  % Contextual simplify-reflections      : 1
% 4.27/1.01  % Paramodulations                      : 12762
% 4.27/1.01  % Factorizations                       : 0
% 4.27/1.01  % NegExts                              : 12
% 4.27/1.01  % Equation resolutions                 : 1423
% 4.27/1.01  % Disequality decompositions           : 0
% 4.27/1.01  % Total rewrite steps                  : 1097
% 4.27/1.01  % ...of those cached                   : 769
% 4.27/1.01  % Propositional unsat checks           : 0
% 4.27/1.01  %    Propositional check models        : 0
% 4.27/1.01  %    Propositional check unsatisfiable : 0
% 4.27/1.01  %    Propositional clauses             : 0
% 4.27/1.01  %    Propositional clauses after purity: 0
% 4.27/1.01  %    Propositional unsat core size     : 0
% 4.27/1.01  %    Propositional preprocessing time  : 0.000
% 4.27/1.01  %    Propositional encoding time       : 0.000
% 4.27/1.01  %    Propositional solver time         : 0.000
% 4.27/1.01  %    Success case prop preproc time    : 0.000
% 4.27/1.01  %    Success case prop encoding time   : 0.000
% 4.27/1.01  %    Success case prop solver time     : 0.000
% 4.27/1.01  % Current number of processed clauses  : 1053
% 4.27/1.01  %    Positive orientable unit clauses  : 125
% 4.27/1.01  %    Positive unorientable unit clauses: 17
% 4.27/1.01  %    Negative unit clauses             : 66
% 4.27/1.01  %    Non-unit-clauses                  : 845
% 4.27/1.01  % Current number of unprocessed clauses: 11509
% 4.27/1.01  % ...number of literals in the above   : 38989
% 4.27/1.01  % Current number of archived formulas  : 0
% 4.27/1.01  % Current number of archived clauses   : 662
% 4.27/1.01  % Clause-clause subsumption calls (NU) : 90960
% 4.27/1.01  % Rec. Clause-clause subsumption calls : 64326
% 4.27/1.01  % Non-unit clause-clause subsumptions  : 224
% 4.27/1.01  % Unit Clause-clause subsumption calls : 7882
% 4.27/1.01  % Rewrite failures with RHS unbound    : 0
% 4.27/1.01  % BW rewrite match attempts            : 15011
% 4.27/1.01  % BW rewrite match successes           : 20
% 4.27/1.01  % Condensation attempts                : 2317
% 4.27/1.01  % Condensation successes               : 0
% 4.27/1.01  % Termbank termtop insertions          : 734492
% 4.27/1.01  % Search garbage collected termcells   : 21061
% 4.27/1.01  
% 4.27/1.01  % -------------------------------------------------
% 4.27/1.01  % User time                : 0.579 s
% 4.27/1.01  % System time              : 0.033 s
% 4.27/1.01  % Total time               : 0.613 s
% 4.27/1.01  % Maximum resident set size: 8232 pages
% 4.27/1.01  
% 4.27/1.01  % -------------------------------------------------
% 4.27/1.01  % User time                : 2.653 s
% 4.27/1.01  % System time              : 0.147 s
% 4.27/1.01  % Total time               : 2.799 s
% 4.27/1.01  % Maximum resident set size: 5888 pages
% 4.27/1.01  % E exiting
%------------------------------------------------------------------------------