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E-SAT---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : ITP205^1 : 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 08:05:50 AM UTC 2026

% Result   : Theorem 0.73s 0.50s
% Output   : CNFRefutation 0.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   31 (  21 unt;   0 typ;   0 def)
%            Number of atoms       :   51 (   7 equ;   0 cnn)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :  496 (  18   ~;  14   |;   3   &; 458   @)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   9 avg)
%            Number of types       :    6 (   5 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   5 con; 0-3 aty)
%            Number of variables   :   43 (   2   ^;  41   !;   0   ?;  43   :)

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

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

thf(decl_sort3,type,
    produc1078154247n_game: $tType ).

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

thf(decl_sort5,type,
    produc1418842292n_game: $tType ).

thf(decl_36,type,
    sup_sup_set_variable: set_variable > set_variable > set_variable ).

thf(decl_39,type,
    the_game: option_game > game ).

thf(decl_45,type,
    ord_le282106107riable: set_variable > set_variable > $o ).

thf(decl_52,type,
    produc893821739n_game: produc1078154247n_game > set_variable ).

thf(decl_55,type,
    produc293487213n_game: produc1078154247n_game > option_game ).

thf(decl_62,type,
    static_BVG: game > set_variable ).

thf(decl_64,type,
    compose: game > game > game ).

thf(decl_69,type,
    uSubst516392814stappp: produc1418842292n_game > set_variable > game > produc1078154247n_game ).

thf(decl_73,type,
    ua: set_variable ).

thf(decl_74,type,
    alpha: game ).

thf(decl_75,type,
    beta: game ).

thf(decl_76,type,
    sigma: produc1418842292n_game ).

thf(fact_137_sup__assoc,axiom,
    ! [X268: set_variable,X269: set_variable,X270: set_variable] :
      ( ( sup_sup_set_variable @ ( sup_sup_set_variable @ X268 @ X269 ) @ X270 )
      = ( sup_sup_set_variable @ X268 @ ( sup_sup_set_variable @ X269 @ X270 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.J7yO7B3Rwh/E---3.1_3158566.p',fact_137_sup__assoc) ).

thf(fact_11_Un__subset__iff,axiom,
    ! [X11: set_variable,X12: set_variable,X13: set_variable] :
      ( ( ord_le282106107riable @ ( sup_sup_set_variable @ X11 @ X12 ) @ X13 )
    <=> ( ( ord_le282106107riable @ X11 @ X13 )
        & ( ord_le282106107riable @ X12 @ X13 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.J7yO7B3Rwh/E---3.1_3158566.p',fact_11_Un__subset__iff) ).

thf(fact_0__092_060open_062U_A_092_060union_062_ABVG_A_Ithe_A_Isnd_A_Iusubstappp_A_092_060sigma_062_AU_A_092_060alpha_062_J_J_J_A_092_060union_062_ABVG_A_Ithe_A_Isnd_A_Iusubstappp_A_092_060sigma_062_A_Ifst_A_Iusubstappp_A_092_060sigma_062_AU_A_092_060alpha_062_J_J_A_092_060beta_062_J_J_J_A_092_060subseteq_062_Afst_A_Iusubstappp_A_092_060sigma_062_A_Ifst_A_Iusubstappp_A_092_060sigma_062_AU_A_092_060alpha_062_J_J_A_092_060beta_062_J_092_060close_062,axiom,
    ord_le282106107riable @ ( sup_sup_set_variable @ ( sup_sup_set_variable @ ua @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) ) ) @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ) ) ) @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ),
    file('/export/starexec/sandbox/tmp/tmp.J7yO7B3Rwh/E---3.1_3158566.p',fact_0__092_060open_062U_A_092_060union_062_ABVG_A_Ithe_A_Isnd_A_Iusubstappp_A_092_060sigma_062_AU_A_092_060alpha_062_J_J_J_A_092_060union_062_ABVG_A_Ithe_A_Isnd_A_Iusubstappp_A_092_060sigma_062_A_Ifst_A_Iusubstappp_A_092_060sigma_062_AU_A_092_060alpha_062_J_J_A_092_060beta_062_J_J_J_A_092_060subseteq_062_Afst_A_Iusubstappp_A_092_060sigma_062_A_Ifst_A_Iusubstappp_A_092_060sigma_062_AU_A_092_060alpha_062_J_J_A_092_060beta_062_J_092_060close_062) ).

thf(fact_229_dual__order_Otrans,axiom,
    ! [X502: set_variable,X503: set_variable,X504: set_variable] :
      ( ( ord_le282106107riable @ X502 @ X503 )
     => ( ( ord_le282106107riable @ X504 @ X502 )
       => ( ord_le282106107riable @ X504 @ X503 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.J7yO7B3Rwh/E---3.1_3158566.p',fact_229_dual__order_Otrans) ).

thf(conj_0,conjecture,
    ord_le282106107riable @ ( sup_sup_set_variable @ ua @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ ( compose @ alpha @ beta ) ) ) ) ) ) @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ),
    file('/export/starexec/sandbox/tmp/tmp.J7yO7B3Rwh/E---3.1_3158566.p',conj_0) ).

thf(fact_1_fact,axiom,
    ord_le282106107riable @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ ( compose @ alpha @ beta ) ) ) ) ) @ ( sup_sup_set_variable @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) ) @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.J7yO7B3Rwh/E---3.1_3158566.p',fact_1_fact) ).

thf(fact_125_sup__commute,axiom,
    ( sup_sup_set_variable
    = ( ^ [X242: set_variable,X243: set_variable] : ( sup_sup_set_variable @ X243 @ X242 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.J7yO7B3Rwh/E---3.1_3158566.p',fact_125_sup__commute) ).

thf(c_0_7,plain,
    ! [X2044: set_variable,X2045: set_variable,X2046: set_variable] :
      ( ( sup_sup_set_variable @ ( sup_sup_set_variable @ X2044 @ X2045 ) @ X2046 )
      = ( sup_sup_set_variable @ X2044 @ ( sup_sup_set_variable @ X2045 @ X2046 ) ) ),
    inference(variable_rename,[status(thm)],[fact_137_sup__assoc]) ).

thf(c_0_8,plain,
    ! [X1713: set_variable,X1714: set_variable,X1715: set_variable] :
      ( ( ( ord_le282106107riable @ X1713 @ X1715 )
        | ~ ( ord_le282106107riable @ ( sup_sup_set_variable @ X1713 @ X1714 ) @ X1715 ) )
      & ( ( ord_le282106107riable @ X1714 @ X1715 )
        | ~ ( ord_le282106107riable @ ( sup_sup_set_variable @ X1713 @ X1714 ) @ X1715 ) )
      & ( ~ ( ord_le282106107riable @ X1713 @ X1715 )
        | ~ ( ord_le282106107riable @ X1714 @ X1715 )
        | ( ord_le282106107riable @ ( sup_sup_set_variable @ X1713 @ X1714 ) @ X1715 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_11_Un__subset__iff])])])]) ).

thf(c_0_9,plain,
    ord_le282106107riable @ ( sup_sup_set_variable @ ( sup_sup_set_variable @ ua @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) ) ) @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ) ) ) @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ),
    inference(split_conjunct,[status(thm)],[fact_0__092_060open_062U_A_092_060union_062_ABVG_A_Ithe_A_Isnd_A_Iusubstappp_A_092_060sigma_062_AU_A_092_060alpha_062_J_J_J_A_092_060union_062_ABVG_A_Ithe_A_Isnd_A_Iusubstappp_A_092_060sigma_062_A_Ifst_A_Iusubstappp_A_092_060sigma_062_AU_A_092_060alpha_062_J_J_A_092_060beta_062_J_J_J_A_092_060subseteq_062_Afst_A_Iusubstappp_A_092_060sigma_062_A_Ifst_A_Iusubstappp_A_092_060sigma_062_AU_A_092_060alpha_062_J_J_A_092_060beta_062_J_092_060close_062]) ).

thf(c_0_10,plain,
    ! [X1: set_variable,X4: set_variable,X11: set_variable] :
      ( ( sup_sup_set_variable @ ( sup_sup_set_variable @ X1 @ X4 ) @ X11 )
      = ( sup_sup_set_variable @ X1 @ ( sup_sup_set_variable @ X4 @ X11 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

thf(c_0_11,plain,
    ! [X2325: set_variable,X2326: set_variable,X2327: set_variable] :
      ( ~ ( ord_le282106107riable @ X2325 @ X2326 )
      | ~ ( ord_le282106107riable @ X2327 @ X2325 )
      | ( ord_le282106107riable @ X2327 @ X2326 ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_229_dual__order_Otrans])])]) ).

thf(c_0_12,negated_conjecture,
    ~ ( ord_le282106107riable @ ( sup_sup_set_variable @ ua @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ ( compose @ alpha @ beta ) ) ) ) ) ) @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ),
    inference(assume_negation,[status(cth)],[conj_0]) ).

thf(c_0_13,plain,
    ! [X1: set_variable,X11: set_variable,X4: set_variable] :
      ( ( ord_le282106107riable @ X1 @ X4 )
      | ~ ( ord_le282106107riable @ ( sup_sup_set_variable @ X1 @ X11 ) @ X4 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_14,plain,
    ord_le282106107riable @ ( sup_sup_set_variable @ ua @ ( sup_sup_set_variable @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) ) @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ) ) ) ) @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ),
    inference(rw,[status(thm)],[c_0_9,c_0_10]) ).

thf(c_0_15,plain,
    ! [X11: set_variable,X4: set_variable,X1: set_variable] :
      ( ( ord_le282106107riable @ X11 @ X4 )
      | ~ ( ord_le282106107riable @ X1 @ X4 )
      | ~ ( ord_le282106107riable @ X11 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

thf(c_0_16,plain,
    ord_le282106107riable @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ ( compose @ alpha @ beta ) ) ) ) ) @ ( sup_sup_set_variable @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) ) @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ) ) ),
    inference(split_conjunct,[status(thm)],[fact_1_fact]) ).

thf(c_0_17,plain,
    ! [X1: set_variable,X11: set_variable,X4: set_variable] :
      ( ( ord_le282106107riable @ X1 @ X4 )
      | ~ ( ord_le282106107riable @ ( sup_sup_set_variable @ X11 @ X1 ) @ X4 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_18,plain,
    ! [X1631: set_variable,X1632: set_variable] :
      ( ( sup_sup_set_variable @ X1631 @ X1632 )
      = ( sup_sup_set_variable @ X1632 @ X1631 ) ),
    inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_125_sup__commute])]) ).

thf(c_0_19,negated_conjecture,
    ~ ( ord_le282106107riable @ ( sup_sup_set_variable @ ua @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ ( compose @ alpha @ beta ) ) ) ) ) ) @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

thf(c_0_20,plain,
    ! [X1: set_variable,X11: set_variable,X4: set_variable] :
      ( ( ord_le282106107riable @ ( sup_sup_set_variable @ X1 @ X11 ) @ X4 )
      | ~ ( ord_le282106107riable @ X1 @ X4 )
      | ~ ( ord_le282106107riable @ X11 @ X4 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_21,plain,
    ord_le282106107riable @ ua @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

thf(c_0_22,plain,
    ! [X1: set_variable] :
      ( ( ord_le282106107riable @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ ( compose @ alpha @ beta ) ) ) ) ) @ X1 )
      | ~ ( ord_le282106107riable @ ( sup_sup_set_variable @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) ) @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ) ) ) @ X1 ) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

thf(c_0_23,plain,
    ord_le282106107riable @ ( sup_sup_set_variable @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) ) @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ) ) ) @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ),
    inference(spm,[status(thm)],[c_0_17,c_0_14]) ).

thf(c_0_24,plain,
    ! [X2015: set_variable,X2016: set_variable] :
      ( ( sup_sup_set_variable @ X2015 @ X2016 )
      = ( sup_sup_set_variable @ X2016 @ X2015 ) ),
    inference(variable_rename,[status(thm)],[c_0_18]) ).

thf(c_0_25,negated_conjecture,
    ~ ( ord_le282106107riable @ ( sup_sup_set_variable @ ua @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ ( compose @ alpha @ beta ) ) ) ) ) ) @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ),
    inference(fof_nnf,[status(thm)],[c_0_19]) ).

thf(c_0_26,plain,
    ! [X1: set_variable] :
      ( ( ord_le282106107riable @ ( sup_sup_set_variable @ X1 @ ua ) @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) )
      | ~ ( ord_le282106107riable @ X1 @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

thf(c_0_27,plain,
    ord_le282106107riable @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ ( compose @ alpha @ beta ) ) ) ) ) @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

thf(c_0_28,plain,
    ! [X4: set_variable,X1: set_variable] :
      ( ( sup_sup_set_variable @ X1 @ X4 )
      = ( sup_sup_set_variable @ X4 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

thf(c_0_29,negated_conjecture,
    ~ ( ord_le282106107riable @ ( sup_sup_set_variable @ ua @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ ( compose @ alpha @ beta ) ) ) ) ) ) @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP205^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.18  % Computer : n014.cluster.edu
% 0.05/0.18  % Model    : x86_64 x86_64
% 0.05/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.18  % Memory   : 8046.5625MB
% 0.05/0.18  % OS       : Linux 6.8.0-71-generic
% 0.05/0.18  % CPULimit : 300
% 0.05/0.18  % WCLimit  : 300
% 0.05/0.18  % DateTime : Tue Sep 29 20:11:29 UTC 2026
% 0.05/0.18  % CPUTime  : 
% 0.05/0.18  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.22  Running higher-order theorem proving
% 0.20/0.27  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.J7yO7B3Rwh/E---3.1_3158566.p
% 0.73/0.50  % Version: 3.5.1-ho
% 0.73/0.50  % Preprocessing class: HSLSSMSSSSLCHFA.
% 0.73/0.50  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.73/0.50  % Starting ehoh_best4 with 1500s (5) cores
% 0.73/0.50  % Starting additional_ho_6 with 300s (1) cores
% 0.73/0.50  % Starting new_bool_3 with 300s (1) cores
% 0.73/0.50  % Starting new_bool_1 with 300s (1) cores
% 0.73/0.50  % ehoh_best4 with pid 3158579 completed with status 0
% 0.73/0.50  % Result found by ehoh_best4
% 0.73/0.50  % Preprocessing class: HSLSSMSSSSLCHFA.
% 0.73/0.50  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.73/0.50  % Starting ehoh_best4 with 1500s (5) cores
% 0.73/0.50  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.73/0.50  % No SInE strategy applied
% 0.73/0.50  % Search class: HGHSM-FSLS31-DHFFFSBN
% 0.73/0.50  % partial match(1): HGHSM-FSLM31-DHFFFSBN
% 0.73/0.50  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.73/0.50  % Starting SubtermCWHack with 136s (1) cores
% 0.73/0.50  % Starting ehoh_best4 with 151s (1) cores
% 0.73/0.50  % Starting new_bool_6 with 136s (1) cores
% 0.73/0.50  % Starting lpo8_s with 136s (1) cores
% 0.73/0.50  % Starting lpo1_lambda_fix with 136s (1) cores
% 0.73/0.50  % ehoh_best4 with pid 3158587 completed with status 0
% 0.73/0.50  % Result found by ehoh_best4
% 0.73/0.50  % Preprocessing class: HSLSSMSSSSLCHFA.
% 0.73/0.50  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.73/0.50  % Starting ehoh_best4 with 1500s (5) cores
% 0.73/0.50  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.73/0.50  % No SInE strategy applied
% 0.73/0.50  % Search class: HGHSM-FSLS31-DHFFFSBN
% 0.73/0.50  % partial match(1): HGHSM-FSLM31-DHFFFSBN
% 0.73/0.50  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.73/0.50  % Starting SubtermCWHack with 136s (1) cores
% 0.73/0.50  % Starting ehoh_best4 with 151s (1) cores
% 0.73/0.50  % Preprocessing time       : 0.006 s
% 0.73/0.50  % Presaturation interreduction done
% 0.73/0.50  
% 0.73/0.50  % Proof found!
% 0.73/0.50  % SZS status Theorem
% 0.73/0.50  % SZS output start CNFRefutation
% See solution above
% 0.73/0.50  % Parsed axioms                        : 419
% 0.73/0.50  % Removed by relevancy pruning/SinE    : 0
% 0.73/0.50  % Initial clauses                      : 697
% 0.73/0.50  % Removed in clause preprocessing      : 110
% 0.73/0.50  % Initial clauses in saturation        : 587
% 0.73/0.50  % Processed clauses                    : 1939
% 0.73/0.50  % ...of these trivial                  : 177
% 0.73/0.50  % ...subsumed                          : 644
% 0.73/0.50  % ...remaining for further processing  : 1117
% 0.73/0.50  % Other redundant clauses eliminated   : 293
% 0.73/0.50  % Clauses deleted for lack of memory   : 0
% 0.73/0.50  % Backward-subsumed                    : 4
% 0.73/0.50  % Backward-rewritten                   : 25
% 0.73/0.50  % Generated clauses                    : 7930
% 0.73/0.50  % ...of the previous two non-redundant : 6566
% 0.73/0.50  % ...aggressively subsumed             : 0
% 0.73/0.50  % Contextual simplify-reflections      : 0
% 0.73/0.50  % Paramodulations                      : 7435
% 0.73/0.50  % Factorizations                       : 8
% 0.73/0.50  % NegExts                              : 0
% 0.73/0.50  % Equation resolutions                 : 313
% 0.73/0.50  % Disequality decompositions           : 0
% 0.73/0.50  % Total rewrite steps                  : 2162
% 0.73/0.50  % ...of those cached                   : 1564
% 0.73/0.50  % Propositional unsat checks           : 0
% 0.73/0.50  %    Propositional check models        : 0
% 0.73/0.50  %    Propositional check unsatisfiable : 0
% 0.73/0.50  %    Propositional clauses             : 0
% 0.73/0.50  %    Propositional clauses after purity: 0
% 0.73/0.50  %    Propositional unsat core size     : 0
% 0.73/0.50  %    Propositional preprocessing time  : 0.000
% 0.73/0.50  %    Propositional encoding time       : 0.000
% 0.73/0.50  %    Propositional solver time         : 0.000
% 0.73/0.50  %    Success case prop preproc time    : 0.000
% 0.73/0.50  %    Success case prop encoding time   : 0.000
% 0.73/0.50  %    Success case prop solver time     : 0.000
% 0.73/0.50  % Current number of processed clauses  : 639
% 0.73/0.50  %    Positive orientable unit clauses  : 193
% 0.73/0.50  %    Positive unorientable unit clauses: 12
% 0.73/0.50  %    Negative unit clauses             : 7
% 0.73/0.50  %    Non-unit-clauses                  : 427
% 0.73/0.50  % Current number of unprocessed clauses: 5511
% 0.73/0.50  % ...number of literals in the above   : 12908
% 0.73/0.50  % Current number of archived formulas  : 0
% 0.73/0.50  % Current number of archived clauses   : 380
% 0.73/0.50  % Clause-clause subsumption calls (NU) : 74325
% 0.73/0.50  % Rec. Clause-clause subsumption calls : 57897
% 0.73/0.50  % Non-unit clause-clause subsumptions  : 575
% 0.73/0.50  % Unit Clause-clause subsumption calls : 4848
% 0.73/0.50  % Rewrite failures with RHS unbound    : 0
% 0.73/0.50  % BW rewrite match attempts            : 412
% 0.73/0.50  % BW rewrite match successes           : 198
% 0.73/0.50  % Condensation attempts                : 0
% 0.73/0.50  % Condensation successes               : 0
% 0.73/0.50  % Termbank termtop insertions          : 210034
% 0.73/0.50  % Search garbage collected termcells   : 11730
% 0.73/0.50  
% 0.73/0.50  % -------------------------------------------------
% 0.73/0.50  % User time                : 0.186 s
% 0.73/0.50  % System time              : 0.009 s
% 0.73/0.50  % Total time               : 0.195 s
% 0.73/0.50  % Maximum resident set size: 6836 pages
% 0.73/0.50  
% 0.73/0.50  % -------------------------------------------------
% 0.73/0.50  % User time                : 0.614 s
% 0.73/0.50  % System time              : 0.058 s
% 0.73/0.50  % Total time               : 0.672 s
% 0.73/0.50  % Maximum resident set size: 5632 pages
% 0.73/0.50  % E exiting
%------------------------------------------------------------------------------