TSTP Solution File: SWW474_2 by E-SAT---3.1.00

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%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWW474_2 : TPTP v8.2.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n020.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 06:45:53 EDT 2024

% Result   : Theorem 1.31s 0.84s
% Output   : CNFRefutation 1.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   56
% Syntax   : Number of formulae    :   85 (  18 unt;  45 typ;   0 def)
%            Number of atoms       :   81 (  13 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   76 (  35   ~;  30   |;   1   &)
%                                         (   1 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of types       :   19 (  18 usr)
%            Number of type conns  :   24 (  15   >;   9   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   26 (  26 usr;  12 con; 0-2 aty)
%            Number of variables   :   45 (   0 sgn  45   !;   0   ?;  45   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_sort1,type,
    fun_co2032091866_state: $tType ).

tff(decl_sort2,type,
    fun_fu973320112_state: $tType ).

tff(decl_sort3,type,
    fun_fu1296727421e_bool: $tType ).

tff(decl_sort4,type,
    pname: $tType ).

tff(decl_sort5,type,
    bool: $tType ).

tff(decl_sort6,type,
    fun_pname_bool: $tType ).

tff(decl_sort7,type,
    fun_Ho1996104121e_bool: $tType ).

tff(decl_sort8,type,
    hoare_1875481847_state: $tType ).

tff(decl_sort9,type,
    fun_pn664418900_state: $tType ).

tff(decl_sort10,type,
    fun_fu689207471l_bool: $tType ).

tff(decl_sort11,type,
    fun_fu1173762305l_bool: $tType ).

tff(decl_sort12,type,
    fun_fu1176632176e_bool: $tType ).

tff(decl_sort13,type,
    fun_com_bool: $tType ).

tff(decl_sort14,type,
    fun_pname_option_com: $tType ).

tff(decl_sort15,type,
    fun_pname_com: $tType ).

tff(decl_sort16,type,
    com: $tType ).

tff(decl_sort17,type,
    option_com: $tType ).

tff(decl_sort18,type,
    fun_Ho1110608055e_bool: $tType ).

tff(decl_22,type,
    cOMBB_1364904209_pname: fun_co2032091866_state > fun_fu973320112_state ).

tff(decl_99,type,
    wt: fun_com_bool ).

tff(decl_100,type,
    wT_bodies: bool ).

tff(decl_101,type,
    body: fun_pname_option_com ).

tff(decl_102,type,
    body_1: fun_pname_com ).

tff(decl_126,type,
    hoare_Mirabelle_MGT: fun_co2032091866_state ).

tff(decl_127,type,
    hoare_2131502867_state: fun_Ho1996104121e_bool > fun_fu689207471l_bool ).

tff(decl_129,type,
    hoare_1239590103gleton: bool ).

tff(decl_142,type,
    dom_pname_com: fun_pname_option_com > fun_pname_bool ).

tff(decl_144,type,
    some_com: com > option_com ).

tff(decl_154,type,
    bot_bo1715400655e_bool: fun_Ho1996104121e_bool ).

tff(decl_159,type,
    ord_le233469699e_bool: fun_fu1173762305l_bool ).

tff(decl_169,type,
    image_1283223414_state: fun_pn664418900_state > fun_fu1176632176e_bool ).

tff(decl_184,type,
    insert694999549_state: fun_Ho1110608055e_bool ).

tff(decl_201,type,
    hAPP_com_bool: ( fun_com_bool * com ) > bool ).

tff(decl_202,type,
    hAPP_c406083500_state: ( fun_co2032091866_state * com ) > hoare_1875481847_state ).

tff(decl_210,type,
    hAPP_p799580910on_com: ( fun_pname_option_com * pname ) > option_com ).

tff(decl_247,type,
    hAPP_H1625489667e_bool: ( fun_Ho1110608055e_bool * hoare_1875481847_state ) > fun_fu1296727421e_bool ).

tff(decl_253,type,
    hAPP_f2031411714_state: ( fun_fu973320112_state * fun_pname_com ) > fun_pn664418900_state ).

tff(decl_265,type,
    hAPP_f1291720380e_bool: ( fun_fu1176632176e_bool * fun_pname_bool ) > fun_Ho1996104121e_bool ).

tff(decl_313,type,
    hAPP_f1408815105l_bool: ( fun_fu689207471l_bool * fun_Ho1996104121e_bool ) > bool ).

tff(decl_317,type,
    hAPP_f121055253e_bool: ( fun_fu1296727421e_bool * fun_Ho1996104121e_bool ) > fun_Ho1996104121e_bool ).

tff(decl_321,type,
    hAPP_f1873026899l_bool: ( fun_fu1173762305l_bool * fun_Ho1996104121e_bool ) > fun_fu689207471l_bool ).

tff(decl_369,type,
    hBOOL: bool > $o ).

tff(decl_375,type,
    fa: fun_Ho1996104121e_bool ).

tff(decl_376,type,
    pn: pname ).

tff(decl_377,type,
    y: com ).

tff(fact_4_cut,axiom,
    ! [X1: fun_Ho1996104121e_bool,X4: fun_Ho1996104121e_bool,X2: fun_Ho1996104121e_bool] :
      ( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X4),X2))
     => ( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X1),X4))
       => hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X1),X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_cut) ).

tff(conj_6,hypothesis,
    hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(hAPP_f1291720380e_bool(image_1283223414_state(hAPP_f2031411714_state(cOMBB_1364904209_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),fa)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_6) ).

tff(fact_2_weaken,axiom,
    ! [X2: fun_Ho1996104121e_bool,X1: fun_Ho1996104121e_bool,X3: fun_Ho1996104121e_bool] :
      ( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X1),X3))
     => ( hBOOL(hAPP_f1408815105l_bool(hAPP_f1873026899l_bool(ord_le233469699e_bool,X2),X3))
       => hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X1),X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_weaken) ).

tff(fact_158_subset__empty,axiom,
    ! [X287: fun_Ho1996104121e_bool] :
      ( hBOOL(hAPP_f1408815105l_bool(hAPP_f1873026899l_bool(ord_le233469699e_bool,X287),bot_bo1715400655e_bool))
    <=> ( X287 = bot_bo1715400655e_bool ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_158_subset__empty) ).

tff(fact_0_empty,axiom,
    ! [X1: fun_Ho1996104121e_bool] : hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X1),bot_bo1715400655e_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_empty) ).

tff(fact_53_MGF,axiom,
    ! [X90: com] :
      ( hBOOL(hoare_1239590103gleton)
     => ( hBOOL(wT_bodies)
       => ( hBOOL(hAPP_com_bool(wt,X90))
         => hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(bot_bo1715400655e_bool),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,X90)),bot_bo1715400655e_bool))) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_53_MGF) ).

tff(conj_7,conjecture,
    hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(hAPP_f1291720380e_bool(image_1283223414_state(hAPP_f2031411714_state(cOMBB_1364904209_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,y)),bot_bo1715400655e_bool))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_7) ).

tff(conj_1,hypothesis,
    hBOOL(wT_bodies),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).

tff(conj_0,hypothesis,
    hBOOL(hoare_1239590103gleton),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

tff(fact_215_WT__bodiesD,axiom,
    ! [X387: pname,X388: com] :
      ( hBOOL(wT_bodies)
     => ( ( hAPP_p799580910on_com(body,X387) = some_com(X388) )
       => hBOOL(hAPP_com_bool(wt,X388)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_215_WT__bodiesD) ).

tff(conj_5,hypothesis,
    hAPP_p799580910on_com(body,pn) = some_com(y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_5) ).

tff(c_0_11,plain,
    ! [X2159: fun_Ho1996104121e_bool,X2160: fun_Ho1996104121e_bool,X2161: fun_Ho1996104121e_bool] :
      ( ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X2160),X2161))
      | ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X2159),X2160))
      | hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X2159),X2161)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_4_cut])])]) ).

tcf(c_0_12,plain,
    ! [X3: fun_Ho1996104121e_bool,X2: fun_Ho1996104121e_bool,X1: fun_Ho1996104121e_bool] :
      ( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X3),X2))
      | ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X1),X2))
      | ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X3),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

tcf(c_0_13,hypothesis,
    hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(hAPP_f1291720380e_bool(image_1283223414_state(hAPP_f2031411714_state(cOMBB_1364904209_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),fa)),
    inference(split_conjunct,[status(thm)],[conj_6]) ).

tff(c_0_14,plain,
    ! [X2153: fun_Ho1996104121e_bool,X2154: fun_Ho1996104121e_bool,X2155: fun_Ho1996104121e_bool] :
      ( ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X2154),X2155))
      | ~ hBOOL(hAPP_f1408815105l_bool(hAPP_f1873026899l_bool(ord_le233469699e_bool,X2153),X2155))
      | hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X2154),X2153)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_2_weaken])])]) ).

tff(c_0_15,plain,
    ! [X2040: fun_Ho1996104121e_bool] :
      ( ( ~ hBOOL(hAPP_f1408815105l_bool(hAPP_f1873026899l_bool(ord_le233469699e_bool,X2040),bot_bo1715400655e_bool))
        | ( X2040 = bot_bo1715400655e_bool ) )
      & ( ( X2040 != bot_bo1715400655e_bool )
        | hBOOL(hAPP_f1408815105l_bool(hAPP_f1873026899l_bool(ord_le233469699e_bool,X2040),bot_bo1715400655e_bool)) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_158_subset__empty])])]) ).

tff(c_0_16,plain,
    ! [X2150: fun_Ho1996104121e_bool] : hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X2150),bot_bo1715400655e_bool)),
    inference(variable_rename,[status(thm)],[fact_0_empty]) ).

tcf(c_0_17,hypothesis,
    ! [X1: fun_Ho1996104121e_bool] :
      ( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(hAPP_f1291720380e_bool(image_1283223414_state(hAPP_f2031411714_state(cOMBB_1364904209_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),X1))
      | ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(fa),X1)) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

tcf(c_0_18,plain,
    ! [X1: fun_Ho1996104121e_bool,X3: fun_Ho1996104121e_bool,X2: fun_Ho1996104121e_bool] :
      ( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X1),X3))
      | ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X1),X2))
      | ~ hBOOL(hAPP_f1408815105l_bool(hAPP_f1873026899l_bool(ord_le233469699e_bool,X3),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

tcf(c_0_19,plain,
    ! [X1: fun_Ho1996104121e_bool] :
      ( hBOOL(hAPP_f1408815105l_bool(hAPP_f1873026899l_bool(ord_le233469699e_bool,X1),bot_bo1715400655e_bool))
      | ( X1 != bot_bo1715400655e_bool ) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

tcf(c_0_20,plain,
    ! [X1: fun_Ho1996104121e_bool] : hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X1),bot_bo1715400655e_bool)),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

tff(c_0_21,plain,
    ! [X1801: com] :
      ( ~ hBOOL(hoare_1239590103gleton)
      | ~ hBOOL(wT_bodies)
      | ~ hBOOL(hAPP_com_bool(wt,X1801))
      | hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(bot_bo1715400655e_bool),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,X1801)),bot_bo1715400655e_bool))) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_53_MGF])])]) ).

tff(c_0_22,negated_conjecture,
    ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(hAPP_f1291720380e_bool(image_1283223414_state(hAPP_f2031411714_state(cOMBB_1364904209_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,y)),bot_bo1715400655e_bool))),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_7])]) ).

tcf(c_0_23,hypothesis,
    ! [X2: fun_Ho1996104121e_bool,X1: fun_Ho1996104121e_bool] :
      ( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(hAPP_f1291720380e_bool(image_1283223414_state(hAPP_f2031411714_state(cOMBB_1364904209_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),X1))
      | ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(fa),X2))
      | ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X2),X1)) ),
    inference(spm,[status(thm)],[c_0_12,c_0_17]) ).

tcf(c_0_24,plain,
    ! [X1: fun_Ho1996104121e_bool,X2: fun_Ho1996104121e_bool] :
      ( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X1),X2))
      | ( X2 != bot_bo1715400655e_bool ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).

tcf(c_0_25,plain,
    ! [X56: com] :
      ( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(bot_bo1715400655e_bool),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,X56)),bot_bo1715400655e_bool)))
      | ~ hBOOL(hoare_1239590103gleton)
      | ~ hBOOL(wT_bodies)
      | ~ hBOOL(hAPP_com_bool(wt,X56)) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

tcf(c_0_26,hypothesis,
    hBOOL(wT_bodies),
    inference(split_conjunct,[status(thm)],[conj_1]) ).

tcf(c_0_27,hypothesis,
    hBOOL(hoare_1239590103gleton),
    inference(split_conjunct,[status(thm)],[conj_0]) ).

tff(c_0_28,plain,
    ! [X1802: pname,X1803: com] :
      ( ~ hBOOL(wT_bodies)
      | ( hAPP_p799580910on_com(body,X1802) != some_com(X1803) )
      | hBOOL(hAPP_com_bool(wt,X1803)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_215_WT__bodiesD])])]) ).

tff(c_0_29,negated_conjecture,
    ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(hAPP_f1291720380e_bool(image_1283223414_state(hAPP_f2031411714_state(cOMBB_1364904209_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,y)),bot_bo1715400655e_bool))),
    inference(fof_nnf,[status(thm)],[c_0_22]) ).

tcf(c_0_30,hypothesis,
    ! [X2: fun_Ho1996104121e_bool,X1: fun_Ho1996104121e_bool] :
      ( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(hAPP_f1291720380e_bool(image_1283223414_state(hAPP_f2031411714_state(cOMBB_1364904209_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),X1))
      | ( X2 != bot_bo1715400655e_bool )
      | ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(X2),X1)) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

tcf(c_0_31,plain,
    ! [X56: com] :
      ( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(bot_bo1715400655e_bool),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,X56)),bot_bo1715400655e_bool)))
      | ~ hBOOL(hAPP_com_bool(wt,X56)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).

tcf(c_0_32,plain,
    ! [X6: pname,X56: com] :
      ( hBOOL(hAPP_com_bool(wt,X56))
      | ~ hBOOL(wT_bodies)
      | ( hAPP_p799580910on_com(body,X6) != some_com(X56) ) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

tcf(c_0_33,negated_conjecture,
    ~ hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(hAPP_f1291720380e_bool(image_1283223414_state(hAPP_f2031411714_state(cOMBB_1364904209_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,y)),bot_bo1715400655e_bool))),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

tcf(c_0_34,hypothesis,
    ! [X56: com] :
      ( hBOOL(hAPP_f1408815105l_bool(hoare_2131502867_state(hAPP_f1291720380e_bool(image_1283223414_state(hAPP_f2031411714_state(cOMBB_1364904209_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f121055253e_bool(hAPP_H1625489667e_bool(insert694999549_state,hAPP_c406083500_state(hoare_Mirabelle_MGT,X56)),bot_bo1715400655e_bool)))
      | ~ hBOOL(hAPP_com_bool(wt,X56)) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

tcf(c_0_35,plain,
    ! [X6: pname,X56: com] :
      ( hBOOL(hAPP_com_bool(wt,X56))
      | ( hAPP_p799580910on_com(body,X6) != some_com(X56) ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_26])]) ).

tcf(c_0_36,hypothesis,
    hAPP_p799580910on_com(body,pn) = some_com(y),
    inference(split_conjunct,[status(thm)],[conj_5]) ).

tcf(c_0_37,negated_conjecture,
    ~ hBOOL(hAPP_com_bool(wt,y)),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

tcf(c_0_38,hypothesis,
    ! [X6: pname] : hAPP_p799580910on_com(body,X6) != hAPP_p799580910on_com(body,pn),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).

cnf(c_0_39,hypothesis,
    $false,
    inference(er,[status(thm)],[c_0_38]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SWW474_2 : TPTP v8.2.0. Released v5.3.0.
% 0.14/0.15  % Command    : run_E %s %d THM
% 0.15/0.36  % Computer : n020.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sat May 18 20:53:23 EDT 2024
% 0.22/0.36  % CPUTime    : 
% 0.22/0.51  Running first-order model finding
% 0.22/0.51  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.31/0.84  # Version: 3.1.0
% 1.31/0.84  # Preprocessing class: FMLMSMSLSSSNFFN.
% 1.31/0.84  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.31/0.84  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 1.31/0.84  # Starting new_bool_3 with 600s (2) cores
% 1.31/0.84  # Starting new_bool_1 with 600s (2) cores
% 1.31/0.84  # Starting sh5l with 300s (1) cores
% 1.31/0.84  # new_bool_1 with pid 9032 completed with status 0
% 1.31/0.84  # Result found by new_bool_1
% 1.31/0.84  # Preprocessing class: FMLMSMSLSSSNFFN.
% 1.31/0.84  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.31/0.84  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 1.31/0.84  # Starting new_bool_3 with 600s (2) cores
% 1.31/0.84  # Starting new_bool_1 with 600s (2) cores
% 1.31/0.84  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.31/0.84  # Search class: FGHSM-FSLM32-DFFFFFNN
% 1.31/0.84  # Scheduled 13 strats onto 2 cores with 600 seconds (600 total)
% 1.31/0.84  # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 45s (1) cores
% 1.31/0.84  # Starting new_bool_1 with 61s (1) cores
% 1.31/0.84  # G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 9036 completed with status 0
% 1.31/0.84  # Result found by G-E--_301_C18_F1_URBAN_S5PRR_S0Y
% 1.31/0.84  # Preprocessing class: FMLMSMSLSSSNFFN.
% 1.31/0.84  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.31/0.84  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 1.31/0.84  # Starting new_bool_3 with 600s (2) cores
% 1.31/0.84  # Starting new_bool_1 with 600s (2) cores
% 1.31/0.84  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.31/0.84  # Search class: FGHSM-FSLM32-DFFFFFNN
% 1.31/0.84  # Scheduled 13 strats onto 2 cores with 600 seconds (600 total)
% 1.31/0.84  # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 45s (1) cores
% 1.31/0.84  # Preprocessing time       : 0.036 s
% 1.31/0.84  
% 1.31/0.84  # Proof found!
% 1.31/0.84  # SZS status Theorem
% 1.31/0.84  # SZS output start CNFRefutation
% See solution above
% 1.31/0.84  # Parsed axioms                        : 1346
% 1.31/0.84  # Removed by relevancy pruning/SinE    : 926
% 1.31/0.84  # Initial clauses                      : 601
% 1.31/0.84  # Removed in clause preprocessing      : 20
% 1.31/0.84  # Initial clauses in saturation        : 581
% 1.31/0.84  # Processed clauses                    : 822
% 1.31/0.84  # ...of these trivial                  : 52
% 1.31/0.84  # ...subsumed                          : 303
% 1.31/0.84  # ...remaining for further processing  : 467
% 1.31/0.84  # Other redundant clauses eliminated   : 59
% 1.31/0.84  # Clauses deleted for lack of memory   : 0
% 1.31/0.84  # Backward-subsumed                    : 5
% 1.31/0.84  # Backward-rewritten                   : 2
% 1.31/0.84  # Generated clauses                    : 4415
% 1.31/0.84  # ...of the previous two non-redundant : 3674
% 1.31/0.84  # ...aggressively subsumed             : 0
% 1.31/0.84  # Contextual simplify-reflections      : 2
% 1.31/0.84  # Paramodulations                      : 4334
% 1.31/0.84  # Factorizations                       : 0
% 1.31/0.84  # NegExts                              : 0
% 1.31/0.84  # Equation resolutions                 : 83
% 1.31/0.84  # Disequality decompositions           : 0
% 1.31/0.84  # Total rewrite steps                  : 1197
% 1.31/0.84  # ...of those cached                   : 839
% 1.31/0.84  # Propositional unsat checks           : 0
% 1.31/0.84  #    Propositional check models        : 0
% 1.31/0.84  #    Propositional check unsatisfiable : 0
% 1.31/0.84  #    Propositional clauses             : 0
% 1.31/0.84  #    Propositional clauses after purity: 0
% 1.31/0.84  #    Propositional unsat core size     : 0
% 1.31/0.84  #    Propositional preprocessing time  : 0.000
% 1.31/0.84  #    Propositional encoding time       : 0.000
% 1.31/0.84  #    Propositional solver time         : 0.000
% 1.31/0.84  #    Success case prop preproc time    : 0.000
% 1.31/0.84  #    Success case prop encoding time   : 0.000
% 1.31/0.84  #    Success case prop solver time     : 0.000
% 1.31/0.84  # Current number of processed clauses  : 430
% 1.31/0.84  #    Positive orientable unit clauses  : 75
% 1.31/0.84  #    Positive unorientable unit clauses: 7
% 1.31/0.84  #    Negative unit clauses             : 25
% 1.31/0.84  #    Non-unit-clauses                  : 323
% 1.31/0.84  # Current number of unprocessed clauses: 3423
% 1.31/0.84  # ...number of literals in the above   : 9237
% 1.31/0.84  # Current number of archived formulas  : 0
% 1.31/0.84  # Current number of archived clauses   : 7
% 1.31/0.84  # Clause-clause subsumption calls (NU) : 30012
% 1.31/0.84  # Rec. Clause-clause subsumption calls : 17410
% 1.31/0.84  # Non-unit clause-clause subsumptions  : 235
% 1.31/0.84  # Unit Clause-clause subsumption calls : 548
% 1.31/0.84  # Rewrite failures with RHS unbound    : 0
% 1.31/0.84  # BW rewrite match attempts            : 211
% 1.31/0.84  # BW rewrite match successes           : 27
% 1.31/0.84  # Condensation attempts                : 0
% 1.31/0.84  # Condensation successes               : 0
% 1.31/0.84  # Termbank termtop insertions          : 154109
% 1.31/0.84  # Search garbage collected termcells   : 13846
% 1.31/0.84  
% 1.31/0.84  # -------------------------------------------------
% 1.31/0.84  # User time                : 0.232 s
% 1.31/0.84  # System time              : 0.023 s
% 1.31/0.84  # Total time               : 0.254 s
% 1.31/0.84  # Maximum resident set size: 6420 pages
% 1.31/0.84  
% 1.31/0.84  # -------------------------------------------------
% 1.31/0.84  # User time                : 0.486 s
% 1.31/0.84  # System time              : 0.026 s
% 1.31/0.84  # Total time               : 0.512 s
% 1.31/0.84  # Maximum resident set size: 4328 pages
% 1.31/0.84  % E---3.1 exiting
%------------------------------------------------------------------------------