TSTP Solution File: SWW470_1 by Vampire---4.9

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%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWW470_1 : TPTP v8.2.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n008.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 : Mon Jun 24 18:32:39 EDT 2024

% Result   : Theorem 0.22s 0.48s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   44 (  35 unt;   0 typ;   0 def)
%            Number of atoms       :   81 (  24 equ)
%            Maximal formula atoms :   10 (   1 avg)
%            Number of connectives :   60 (  23   ~;  15   |;  12   &)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of types       :   46 (  45 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :  112 ( 112 usr;  30 con; 0-6 aty)
%            Number of variables   :  112 ( 100   !;  12   ?; 112   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    x_a: $tType ).

tff(type_def_6,type,
    com: $tType ).

tff(type_def_7,type,
    state: $tType ).

tff(type_def_8,type,
    bool: $tType ).

tff(type_def_9,type,
    hoare_1927711152iple_a: $tType ).

tff(type_def_10,type,
    fun_a_fun_state_bool: $tType ).

tff(type_def_11,type,
    fun_a_1632297036l_bool: $tType ).

tff(type_def_12,type,
    fun_a_998512028e_bool: $tType ).

tff(type_def_13,type,
    fun_a_2117018159e_bool: $tType ).

tff(type_def_14,type,
    fun_state_bool: $tType ).

tff(type_def_15,type,
    fun_st1506752259e_bool: $tType ).

tff(type_def_16,type,
    fun_st2063251938l_bool: $tType ).

tff(type_def_17,type,
    fun_bool_bool: $tType ).

tff(type_def_18,type,
    fun_bo675861616e_bool: $tType ).

tff(type_def_19,type,
    fun_bo1936561970e_bool: $tType ).

tff(type_def_20,type,
    fun_bo1549164019l_bool: $tType ).

tff(type_def_21,type,
    fun_Ho1877127206a_bool: $tType ).

tff(type_def_22,type,
    fun_Ho843200573iple_a: $tType ).

tff(type_def_23,type,
    fun_Ho957066028l_bool: $tType ).

tff(type_def_24,type,
    fun_Ho440810351a_bool: $tType ).

tff(type_def_25,type,
    fun_Ho333840202iple_a: $tType ).

tff(type_def_26,type,
    fun_Ho525994229l_bool: $tType ).

tff(type_def_27,type,
    fun_Ho1630563774a_bool: $tType ).

tff(type_def_28,type,
    fun_fu2118559873l_bool: $tType ).

tff(type_def_29,type,
    fun_fu1591723597e_bool: $tType ).

tff(type_def_30,type,
    fun_fu2008829792e_bool: $tType ).

tff(type_def_31,type,
    fun_fu222103665e_bool: $tType ).

tff(type_def_32,type,
    fun_fu734682033e_bool: $tType ).

tff(type_def_33,type,
    fun_fu281355805e_bool: $tType ).

tff(type_def_34,type,
    fun_fu373216837e_bool: $tType ).

tff(type_def_35,type,
    fun_fu1658206819l_bool: $tType ).

tff(type_def_36,type,
    fun_fu402792811e_bool: $tType ).

tff(type_def_37,type,
    fun_fu1219323149e_bool: $tType ).

tff(type_def_38,type,
    fun_fu1047394976e_bool: $tType ).

tff(type_def_39,type,
    fun_fu832487784l_bool: $tType ).

tff(type_def_40,type,
    fun_fu1033095803iple_a: $tType ).

tff(type_def_41,type,
    fun_fu1585556401a_bool: $tType ).

tff(type_def_42,type,
    fun_fu269925879l_bool: $tType ).

tff(type_def_43,type,
    fun_fu276214394a_bool: $tType ).

tff(type_def_44,type,
    fun_fu1644852787l_bool: $tType ).

tff(type_def_45,type,
    fun_fu1249172034a_bool: $tType ).

tff(type_def_46,type,
    fun_fu1563903738a_bool: $tType ).

tff(type_def_47,type,
    fun_fu893561155a_bool: $tType ).

tff(type_def_48,type,
    fun_fu1192765369a_bool: $tType ).

tff(type_def_49,type,
    fun_fu1905604217a_bool: $tType ).

tff(func_def_0,type,
    cOMBB_160679318_state: fun_bool_bool > fun_fu373216837e_bool ).

tff(func_def_1,type,
    cOMBB_213049548iple_a: fun_bool_bool > fun_fu1585556401a_bool ).

tff(func_def_2,type,
    cOMBB_188601460_state: fun_bo1549164019l_bool > fun_fu1658206819l_bool ).

tff(func_def_3,type,
    cOMBB_196465322iple_a: fun_bo1549164019l_bool > fun_fu269925879l_bool ).

tff(func_def_4,type,
    cOMBB_1355796797bool_a: fun_fu1658206819l_bool > fun_fu2118559873l_bool ).

tff(func_def_5,type,
    cOMBB_1348041619bool_a: fun_fu1219323149e_bool > fun_fu1591723597e_bool ).

tff(func_def_6,type,
    cOMBB_145932198bool_a: fun_fu1047394976e_bool > fun_fu2008829792e_bool ).

tff(func_def_7,type,
    cOMBB_1083611331iple_a: fun_fu832487784l_bool > fun_fu1563903738a_bool ).

tff(func_def_8,type,
    cOMBC_41962815e_bool: fun_fu222103665e_bool ).

tff(func_def_9,type,
    cOMBC_892787026e_bool: fun_fu734682033e_bool ).

tff(func_def_10,type,
    cOMBC_2027030106e_bool: fun_fu402792811e_bool ).

tff(func_def_11,type,
    cOMBC_231445413l_bool: fun_fu1219323149e_bool ).

tff(func_def_12,type,
    cOMBC_671859290a_bool: fun_fu893561155a_bool ).

tff(func_def_13,type,
    cOMBC_862840740l_bool: fun_fu1192765369a_bool ).

tff(func_def_14,type,
    cOMBC_825881325a_bool: fun_fu1905604217a_bool ).

tff(func_def_15,type,
    cOMBK_bool_state: bool > fun_state_bool ).

tff(func_def_16,type,
    cOMBK_712844119iple_a: bool > fun_Ho1877127206a_bool ).

tff(func_def_17,type,
    cOMBK_1458035955bool_a: fun_state_bool > fun_a_fun_state_bool ).

tff(func_def_18,type,
    cOMBS_1378840469l_bool: fun_fu1047394976e_bool ).

tff(func_def_19,type,
    cOMBS_2061548107l_bool: fun_fu1249172034a_bool ).

tff(func_def_20,type,
    skip: com ).

tff(func_def_21,type,
    semi: ( com * com ) > com ).

tff(func_def_22,type,
    finite68738179iple_a: fun_fu832487784l_bool ).

tff(func_def_23,type,
    finite2098837632iple_a: ( fun_Ho333840202iple_a * fun_Ho1877127206a_bool ) > fun_Ho1877127206a_bool ).

tff(func_def_24,type,
    finite1943414032iple_a: fun_Ho333840202iple_a > fun_fu1033095803iple_a ).

tff(func_def_25,type,
    finite148164294iple_a: ( fun_Ho333840202iple_a * hoare_1927711152iple_a * fun_Ho1877127206a_bool ) > fun_Ho1877127206a_bool ).

tff(func_def_26,type,
    finite83514413iple_a: ( fun_Ho333840202iple_a * fun_fu1033095803iple_a ) > bool ).

tff(func_def_27,type,
    finite1511031594iple_a: ( fun_Ho333840202iple_a * fun_fu1033095803iple_a ) > bool ).

tff(func_def_28,type,
    the_Ho1307659873iple_a: fun_fu1033095803iple_a ).

tff(func_def_29,type,
    hoare_1617968510rivs_a: fun_Ho1877127206a_bool > fun_fu832487784l_bool ).

tff(func_def_30,type,
    hoare_1652181356iple_a: ( fun_a_fun_state_bool * com * fun_a_fun_state_bool ) > hoare_1927711152iple_a ).

tff(func_def_31,type,
    bot_bot_bool: bool ).

tff(func_def_32,type,
    bot_bo1208640912a_bool: fun_Ho1877127206a_bool ).

tff(func_def_33,type,
    collec829051333iple_a: fun_Ho1877127206a_bool > fun_Ho1877127206a_bool ).

tff(func_def_34,type,
    insert1434104874iple_a: fun_Ho1630563774a_bool ).

tff(func_def_35,type,
    the_el1997360207iple_a: fun_fu1033095803iple_a ).

tff(func_def_36,type,
    fFalse: bool ).

tff(func_def_37,type,
    fNot: fun_bool_bool ).

tff(func_def_38,type,
    fTrue: bool ).

tff(func_def_39,type,
    fconj: fun_bo1549164019l_bool ).

tff(func_def_40,type,
    fdisj: fun_bo1549164019l_bool ).

tff(func_def_41,type,
    fequal_state: fun_st1506752259e_bool ).

tff(func_def_42,type,
    fequal1440857775iple_a: fun_Ho440810351a_bool ).

tff(func_def_43,type,
    fequal1285825639a_bool: fun_fu1644852787l_bool ).

tff(func_def_44,type,
    fimplies: fun_bo1549164019l_bool ).

tff(func_def_45,type,
    hAPP_a2036067514e_bool: ( fun_a_fun_state_bool * x_a ) > fun_state_bool ).

tff(func_def_46,type,
    hAPP_a849909144l_bool: ( fun_a_1632297036l_bool * x_a ) > fun_st2063251938l_bool ).

tff(func_def_47,type,
    hAPP_a723219176e_bool: ( fun_a_998512028e_bool * x_a ) > fun_bo1936561970e_bool ).

tff(func_def_48,type,
    hAPP_a1200519163e_bool: ( fun_a_2117018159e_bool * x_a ) > fun_fu373216837e_bool ).

tff(func_def_49,type,
    hAPP_state_bool: ( fun_state_bool * state ) > bool ).

tff(func_def_50,type,
    hAPP_s1806633685e_bool: ( fun_st1506752259e_bool * state ) > fun_state_bool ).

tff(func_def_51,type,
    hAPP_s58564346l_bool: ( fun_st2063251938l_bool * state ) > fun_bool_bool ).

tff(func_def_52,type,
    hAPP_bool_bool: ( fun_bool_bool * bool ) > bool ).

tff(func_def_53,type,
    hAPP_b540892988e_bool: ( fun_bo675861616e_bool * bool ) > fun_a_fun_state_bool ).

tff(func_def_54,type,
    hAPP_b2019457360e_bool: ( fun_bo1936561970e_bool * bool ) > fun_state_bool ).

tff(func_def_55,type,
    hAPP_b589554111l_bool: ( fun_bo1549164019l_bool * bool ) > fun_bool_bool ).

tff(func_def_56,type,
    hAPP_H1448631928a_bool: ( fun_Ho1877127206a_bool * hoare_1927711152iple_a ) > bool ).

tff(func_def_57,type,
    hAPP_H963118037iple_a: ( fun_Ho843200573iple_a * hoare_1927711152iple_a ) > hoare_1927711152iple_a ).

tff(func_def_58,type,
    hAPP_H1487873860l_bool: ( fun_Ho957066028l_bool * hoare_1927711152iple_a ) > fun_bool_bool ).

tff(func_def_59,type,
    hAPP_H1027145665a_bool: ( fun_Ho440810351a_bool * hoare_1927711152iple_a ) > fun_Ho1877127206a_bool ).

tff(func_def_60,type,
    hAPP_H1700437986iple_a: ( fun_Ho333840202iple_a * hoare_1927711152iple_a ) > fun_Ho843200573iple_a ).

tff(func_def_61,type,
    hAPP_H694056973l_bool: ( fun_Ho525994229l_bool * hoare_1927711152iple_a ) > fun_fu832487784l_bool ).

tff(func_def_62,type,
    hAPP_H1975128022a_bool: ( fun_Ho1630563774a_bool * hoare_1927711152iple_a ) > fun_fu1585556401a_bool ).

tff(func_def_63,type,
    hAPP_f1509969235l_bool: ( fun_fu2118559873l_bool * fun_a_fun_state_bool ) > fun_a_1632297036l_bool ).

tff(func_def_64,type,
    hAPP_f340725611e_bool: ( fun_fu1591723597e_bool * fun_a_1632297036l_bool ) > fun_a_998512028e_bool ).

tff(func_def_65,type,
    hAPP_f963367678e_bool: ( fun_fu2008829792e_bool * fun_a_1632297036l_bool ) > fun_a_2117018159e_bool ).

tff(func_def_66,type,
    hAPP_f1824947087e_bool: ( fun_fu222103665e_bool * fun_a_998512028e_bool ) > fun_bo675861616e_bool ).

tff(func_def_67,type,
    hAPP_f1261923407e_bool: ( fun_fu734682033e_bool * fun_a_2117018159e_bool ) > fun_fu281355805e_bool ).

tff(func_def_68,type,
    hAPP_f762886889e_bool: ( fun_fu281355805e_bool * fun_state_bool ) > fun_a_fun_state_bool ).

tff(func_def_69,type,
    hAPP_f1759915619e_bool: ( fun_fu373216837e_bool * fun_state_bool ) > fun_state_bool ).

tff(func_def_70,type,
    hAPP_f1259673775l_bool: ( fun_fu1658206819l_bool * fun_state_bool ) > fun_st2063251938l_bool ).

tff(func_def_71,type,
    hAPP_f817621513e_bool: ( fun_fu402792811e_bool * fun_st1506752259e_bool ) > fun_st1506752259e_bool ).

tff(func_def_72,type,
    hAPP_f167292325e_bool: ( fun_fu1219323149e_bool * fun_st2063251938l_bool ) > fun_bo1936561970e_bool ).

tff(func_def_73,type,
    hAPP_f644196280e_bool: ( fun_fu1047394976e_bool * fun_st2063251938l_bool ) > fun_fu373216837e_bool ).

tff(func_def_74,type,
    hAPP_f1454306822l_bool: ( fun_fu832487784l_bool * fun_Ho1877127206a_bool ) > bool ).

tff(func_def_75,type,
    hAPP_f490779847iple_a: ( fun_fu1033095803iple_a * fun_Ho1877127206a_bool ) > hoare_1927711152iple_a ).

tff(func_def_76,type,
    hAPP_f16502863a_bool: ( fun_fu1585556401a_bool * fun_Ho1877127206a_bool ) > fun_Ho1877127206a_bool ).

tff(func_def_77,type,
    hAPP_f749678531l_bool: ( fun_fu269925879l_bool * fun_Ho1877127206a_bool ) > fun_Ho957066028l_bool ).

tff(func_def_78,type,
    hAPP_f993216280a_bool: ( fun_fu276214394a_bool * fun_Ho1877127206a_bool ) > fun_Ho440810351a_bool ).

tff(func_def_79,type,
    hAPP_f625100287l_bool: ( fun_fu1644852787l_bool * fun_Ho1877127206a_bool ) > fun_fu832487784l_bool ).

tff(func_def_80,type,
    hAPP_f2112551770a_bool: ( fun_fu1249172034a_bool * fun_Ho957066028l_bool ) > fun_fu1585556401a_bool ).

tff(func_def_81,type,
    hAPP_f909473944a_bool: ( fun_fu1563903738a_bool * fun_Ho440810351a_bool ) > fun_Ho1877127206a_bool ).

tff(func_def_82,type,
    hAPP_f1216137953a_bool: ( fun_fu893561155a_bool * fun_Ho440810351a_bool ) > fun_Ho440810351a_bool ).

tff(func_def_83,type,
    hAPP_f684479953a_bool: ( fun_fu1192765369a_bool * fun_Ho525994229l_bool ) > fun_fu1585556401a_bool ).

tff(func_def_84,type,
    hAPP_f1022403729a_bool: ( fun_fu1905604217a_bool * fun_Ho1630563774a_bool ) > fun_fu276214394a_bool ).

tff(func_def_85,type,
    member127332739iple_a: fun_Ho525994229l_bool ).

tff(func_def_86,type,
    g: fun_Ho1877127206a_bool ).

tff(func_def_87,type,
    p: fun_a_fun_state_bool ).

tff(func_def_88,type,
    b: fun_state_bool ).

tff(func_def_89,type,
    c: com ).

tff(func_def_90,type,
    sK0: hoare_1927711152iple_a > fun_a_fun_state_bool ).

tff(func_def_91,type,
    sK1: hoare_1927711152iple_a > com ).

tff(func_def_92,type,
    sK2: hoare_1927711152iple_a > fun_a_fun_state_bool ).

tff(func_def_93,type,
    sK3: ( fun_a_fun_state_bool * fun_a_fun_state_bool * fun_a_fun_state_bool * fun_a_fun_state_bool ) > x_a ).

tff(func_def_94,type,
    sK4: ( fun_a_fun_state_bool * fun_a_fun_state_bool * fun_a_fun_state_bool * fun_a_fun_state_bool ) > state ).

tff(func_def_95,type,
    sK5: ( fun_a_fun_state_bool * fun_a_fun_state_bool * fun_a_fun_state_bool * fun_a_fun_state_bool ) > state ).

tff(func_def_96,type,
    sK6: ( fun_a_fun_state_bool * fun_a_fun_state_bool ) > x_a ).

tff(func_def_97,type,
    sK7: ( fun_a_fun_state_bool * fun_a_fun_state_bool ) > state ).

tff(func_def_98,type,
    sK8: ( fun_a_fun_state_bool * fun_a_fun_state_bool ) > x_a ).

tff(func_def_99,type,
    sK9: ( fun_a_fun_state_bool * fun_a_fun_state_bool ) > state ).

tff(func_def_100,type,
    sK10: ( fun_a_fun_state_bool * fun_Ho1877127206a_bool * com * fun_a_fun_state_bool ) > x_a ).

tff(func_def_101,type,
    sK11: ( fun_a_fun_state_bool * fun_Ho1877127206a_bool * com * fun_a_fun_state_bool ) > state ).

tff(func_def_102,type,
    sK12: ( fun_a_fun_state_bool * fun_Ho1877127206a_bool * com * fun_a_fun_state_bool * fun_a_fun_state_bool * fun_a_fun_state_bool ) > state ).

tff(func_def_103,type,
    sK13: fun_fu832487784l_bool > hoare_1927711152iple_a ).

tff(func_def_104,type,
    sK14: fun_fu832487784l_bool > fun_Ho1877127206a_bool ).

tff(func_def_105,type,
    sK15: fun_fu832487784l_bool > hoare_1927711152iple_a ).

tff(func_def_106,type,
    sK16: fun_fu832487784l_bool > fun_Ho1877127206a_bool ).

tff(func_def_107,type,
    sK17: fun_fu832487784l_bool > hoare_1927711152iple_a ).

tff(func_def_108,type,
    sK18: fun_Ho1877127206a_bool > fun_Ho1877127206a_bool ).

tff(func_def_109,type,
    sK19: fun_Ho1877127206a_bool > hoare_1927711152iple_a ).

tff(func_def_110,type,
    sK20: fun_Ho1877127206a_bool > hoare_1927711152iple_a ).

tff(func_def_111,type,
    sK21: fun_Ho1877127206a_bool > hoare_1927711152iple_a ).

tff(pred_def_1,type,
    hBOOL: bool > $o ).

tff(f1529,plain,
    $false,
    inference(resolution,[],[f1488,f261]) ).

tff(f261,plain,
    ~ hBOOL(fFalse),
    inference(cnf_transformation,[],[f104]) ).

tff(f104,axiom,
    ~ hBOOL(fFalse),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f1488,plain,
    hBOOL(fFalse),
    inference(superposition,[],[f1486,f239]) ).

tff(f239,plain,
    ! [X0: bool,X1: state] : ( hAPP_state_bool(cOMBK_bool_state(X0),X1) = X0 ),
    inference(cnf_transformation,[],[f141]) ).

tff(f141,plain,
    ! [X0: bool,X1: state] : ( hAPP_state_bool(cOMBK_bool_state(X0),X1) = X0 ),
    inference(rectify,[],[f111]) ).

tff(f111,axiom,
    ! [X54: bool,X55: state] : ( hAPP_state_bool(cOMBK_bool_state(X54),X55) = X54 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f1486,plain,
    hBOOL(hAPP_state_bool(cOMBK_bool_state(fFalse),sK11(hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)),g,c,cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse))))),
    inference(resolution,[],[f1120,f345]) ).

tff(f345,plain,
    ~ hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(g),hAPP_H1027145665a_bool(fequal1440857775iple_a,hoare_1652181356iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))))),
    inference(superposition,[],[f340,f302]) ).

tff(f302,plain,
    ! [X0: fun_Ho1877127206a_bool] : ( collec829051333iple_a(X0) = X0 ),
    inference(cnf_transformation,[],[f172]) ).

tff(f172,plain,
    ! [X0: fun_Ho1877127206a_bool] : ( collec829051333iple_a(X0) = X0 ),
    inference(rectify,[],[f75]) ).

tff(f75,axiom,
    ! [X10: fun_Ho1877127206a_bool] : ( collec829051333iple_a(X10) = X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f340,plain,
    ~ hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(g),collec829051333iple_a(hAPP_H1027145665a_bool(fequal1440857775iple_a,hoare_1652181356iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b))))))),
    inference(backward_demodulation,[],[f235,f305]) ).

tff(f305,plain,
    ! [X0: hoare_1927711152iple_a] : ( hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X0),bot_bo1208640912a_bool) = collec829051333iple_a(hAPP_H1027145665a_bool(fequal1440857775iple_a,X0)) ),
    inference(cnf_transformation,[],[f175]) ).

tff(f175,plain,
    ! [X0: hoare_1927711152iple_a] : ( hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X0),bot_bo1208640912a_bool) = collec829051333iple_a(hAPP_H1027145665a_bool(fequal1440857775iple_a,X0)) ),
    inference(rectify,[],[f13]) ).

tff(f13,axiom,
    ! [X20: hoare_1927711152iple_a] : ( collec829051333iple_a(hAPP_H1027145665a_bool(fequal1440857775iple_a,X20)) = hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X20),bot_bo1208640912a_bool) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f235,plain,
    ~ hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(g),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1208640912a_bool))),
    inference(cnf_transformation,[],[f137]) ).

tff(f137,plain,
    ~ hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(g),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1208640912a_bool))),
    inference(flattening,[],[f136]) ).

tff(f136,negated_conjecture,
    ~ hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(g),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1208640912a_bool))),
    inference(negated_conjecture,[],[f135]) ).

tff(f135,conjecture,
    hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(g),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(cOMBK_1458035955bool_a(cOMBK_bool_state(fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(cOMBB_145932198bool_a(cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(cOMBB_1355796797bool_a(cOMBB_188601460_state(fconj)),p))),hAPP_f1759915619e_bool(cOMBB_160679318_state(fNot),b)))),bot_bo1208640912a_bool))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f1120,plain,
    ! [X2: fun_Ho1877127206a_bool,X3: com,X0: fun_state_bool,X1: fun_a_fun_state_bool] :
      ( hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X2),hAPP_H1027145665a_bool(fequal1440857775iple_a,hoare_1652181356iple_a(cOMBK_1458035955bool_a(X0),X3,X1))))
      | hBOOL(hAPP_state_bool(X0,sK11(X1,X2,X3,cOMBK_1458035955bool_a(X0)))) ),
    inference(superposition,[],[f937,f240]) ).

tff(f240,plain,
    ! [X0: fun_state_bool,X1: x_a] : ( hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(X0),X1) = X0 ),
    inference(cnf_transformation,[],[f142]) ).

tff(f142,plain,
    ! [X0: fun_state_bool,X1: x_a] : ( hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(X0),X1) = X0 ),
    inference(rectify,[],[f112]) ).

tff(f112,axiom,
    ! [X54: fun_state_bool,X55: x_a] : ( hAPP_a2036067514e_bool(cOMBK_1458035955bool_a(X54),X55) = X54 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f937,plain,
    ! [X2: com,X3: fun_a_fun_state_bool,X0: fun_a_fun_state_bool,X1: fun_Ho1877127206a_bool] :
      ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,sK10(X0,X1,X2,X3)),sK11(X0,X1,X2,X3)))
      | hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X1),hAPP_H1027145665a_bool(fequal1440857775iple_a,hoare_1652181356iple_a(X3,X2,X0)))) ),
    inference(backward_demodulation,[],[f278,f894]) ).

tff(f894,plain,
    ! [X0: hoare_1927711152iple_a] : ( hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X0),bot_bo1208640912a_bool) = hAPP_H1027145665a_bool(fequal1440857775iple_a,X0) ),
    inference(superposition,[],[f870,f536]) ).

tff(f536,plain,
    ! [X0: hoare_1927711152iple_a] : ( hAPP_H1027145665a_bool(fequal1440857775iple_a,X0) = hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X0),hAPP_H1027145665a_bool(fequal1440857775iple_a,X0)) ),
    inference(superposition,[],[f351,f302]) ).

tff(f351,plain,
    ! [X0: hoare_1927711152iple_a] : ( collec829051333iple_a(hAPP_H1027145665a_bool(fequal1440857775iple_a,X0)) = hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X0),collec829051333iple_a(hAPP_H1027145665a_bool(fequal1440857775iple_a,X0))) ),
    inference(superposition,[],[f260,f305]) ).

tff(f260,plain,
    ! [X0: hoare_1927711152iple_a,X1: fun_Ho1877127206a_bool] : ( hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X0),X1) = hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X0),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X0),X1)) ),
    inference(cnf_transformation,[],[f153]) ).

tff(f153,plain,
    ! [X0: hoare_1927711152iple_a,X1: fun_Ho1877127206a_bool] : ( hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X0),X1) = hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X0),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X0),X1)) ),
    inference(rectify,[],[f30]) ).

tff(f30,axiom,
    ! [X25: hoare_1927711152iple_a,X22: fun_Ho1877127206a_bool] : ( hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X25),X22) = hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X25),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X25),X22)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f870,plain,
    ! [X0: hoare_1927711152iple_a] : ( hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X0),bot_bo1208640912a_bool) = hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X0),hAPP_H1027145665a_bool(fequal1440857775iple_a,X0)) ),
    inference(superposition,[],[f833,f302]) ).

tff(f833,plain,
    ! [X0: hoare_1927711152iple_a] : ( hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X0),bot_bo1208640912a_bool) = hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X0),collec829051333iple_a(hAPP_H1027145665a_bool(fequal1440857775iple_a,X0))) ),
    inference(superposition,[],[f367,f260]) ).

tff(f367,plain,
    ! [X0: hoare_1927711152iple_a,X1: hoare_1927711152iple_a] : ( hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X0),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X1),bot_bo1208640912a_bool)) = hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X1),collec829051333iple_a(hAPP_H1027145665a_bool(fequal1440857775iple_a,X0))) ),
    inference(superposition,[],[f259,f305]) ).

tff(f259,plain,
    ! [X2: fun_Ho1877127206a_bool,X0: hoare_1927711152iple_a,X1: hoare_1927711152iple_a] : ( hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X0),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X1),X2)) = hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X1),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X0),X2)) ),
    inference(cnf_transformation,[],[f152]) ).

tff(f152,plain,
    ! [X0: hoare_1927711152iple_a,X1: hoare_1927711152iple_a,X2: fun_Ho1877127206a_bool] : ( hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X0),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X1),X2)) = hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X1),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X0),X2)) ),
    inference(rectify,[],[f29]) ).

tff(f29,axiom,
    ! [X25: hoare_1927711152iple_a,X26: hoare_1927711152iple_a,X22: fun_Ho1877127206a_bool] : ( hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X25),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X26),X22)) = hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X26),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,X25),X22)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f278,plain,
    ! [X2: com,X3: fun_a_fun_state_bool,X0: fun_a_fun_state_bool,X1: fun_Ho1877127206a_bool] :
      ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,sK10(X0,X1,X2,X3)),sK11(X0,X1,X2,X3)))
      | hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X1),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X3,X2,X0)),bot_bo1208640912a_bool))) ),
    inference(cnf_transformation,[],[f212]) ).

tff(f212,plain,
    ! [X0: fun_a_fun_state_bool,X1: fun_Ho1877127206a_bool,X2: com,X3: fun_a_fun_state_bool] :
      ( hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X1),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X3,X2,X0)),bot_bo1208640912a_bool)))
      | ( ! [X6: fun_a_fun_state_bool,X7: fun_a_fun_state_bool] :
            ( ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK10(X0,X1,X2,X3)),sK12(X0,X1,X2,X3,X6,X7)))
              & ! [X9: x_a] :
                  ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X7,X9),sK12(X0,X1,X2,X3,X6,X7)))
                  | ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X6,X9),sK11(X0,X1,X2,X3))) ) )
            | ~ hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X1),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X6,X2,X7)),bot_bo1208640912a_bool))) )
        & hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,sK10(X0,X1,X2,X3)),sK11(X0,X1,X2,X3))) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f191,f211,f210]) ).

tff(f210,plain,
    ! [X0: fun_a_fun_state_bool,X1: fun_Ho1877127206a_bool,X2: com,X3: fun_a_fun_state_bool] :
      ( ? [X4: x_a,X5: state] :
          ( ! [X6: fun_a_fun_state_bool,X7: fun_a_fun_state_bool] :
              ( ? [X8: state] :
                  ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X4),X8))
                  & ! [X9: x_a] :
                      ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X7,X9),X8))
                      | ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X6,X9),X5)) ) )
              | ~ hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X1),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X6,X2,X7)),bot_bo1208640912a_bool))) )
          & hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X4),X5)) )
     => ( ! [X7: fun_a_fun_state_bool,X6: fun_a_fun_state_bool] :
            ( ? [X8: state] :
                ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK10(X0,X1,X2,X3)),X8))
                & ! [X9: x_a] :
                    ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X7,X9),X8))
                    | ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X6,X9),sK11(X0,X1,X2,X3))) ) )
            | ~ hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X1),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X6,X2,X7)),bot_bo1208640912a_bool))) )
        & hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,sK10(X0,X1,X2,X3)),sK11(X0,X1,X2,X3))) ) ),
    introduced(choice_axiom,[]) ).

tff(f211,plain,
    ! [X0: fun_a_fun_state_bool,X1: fun_Ho1877127206a_bool,X2: com,X3: fun_a_fun_state_bool,X6: fun_a_fun_state_bool,X7: fun_a_fun_state_bool] :
      ( ? [X8: state] :
          ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK10(X0,X1,X2,X3)),X8))
          & ! [X9: x_a] :
              ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X7,X9),X8))
              | ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X6,X9),sK11(X0,X1,X2,X3))) ) )
     => ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK10(X0,X1,X2,X3)),sK12(X0,X1,X2,X3,X6,X7)))
        & ! [X9: x_a] :
            ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X7,X9),sK12(X0,X1,X2,X3,X6,X7)))
            | ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X6,X9),sK11(X0,X1,X2,X3))) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f191,plain,
    ! [X0: fun_a_fun_state_bool,X1: fun_Ho1877127206a_bool,X2: com,X3: fun_a_fun_state_bool] :
      ( hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X1),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X3,X2,X0)),bot_bo1208640912a_bool)))
      | ? [X4: x_a,X5: state] :
          ( ! [X6: fun_a_fun_state_bool,X7: fun_a_fun_state_bool] :
              ( ? [X8: state] :
                  ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X4),X8))
                  & ! [X9: x_a] :
                      ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X7,X9),X8))
                      | ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X6,X9),X5)) ) )
              | ~ hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X1),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X6,X2,X7)),bot_bo1208640912a_bool))) )
          & hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X4),X5)) ) ),
    inference(ennf_transformation,[],[f164]) ).

tff(f164,plain,
    ! [X0: fun_a_fun_state_bool,X1: fun_Ho1877127206a_bool,X2: com,X3: fun_a_fun_state_bool] :
      ( ! [X4: x_a,X5: state] :
          ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X4),X5))
         => ? [X6: fun_a_fun_state_bool,X7: fun_a_fun_state_bool] :
              ( ! [X8: state] :
                  ( ! [X9: x_a] :
                      ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X6,X9),X5))
                     => hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X7,X9),X8)) )
                 => hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X4),X8)) )
              & hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X1),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X6,X2,X7)),bot_bo1208640912a_bool))) ) )
     => hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X1),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X3,X2,X0)),bot_bo1208640912a_bool))) ),
    inference(rectify,[],[f61]) ).

tff(f61,axiom,
    ! [X12: fun_a_fun_state_bool,X0: fun_Ho1877127206a_bool,X11: com,X10: fun_a_fun_state_bool] :
      ( ! [X14: x_a,X15: state] :
          ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X10,X14),X15))
         => ? [X42: fun_a_fun_state_bool,X43: fun_a_fun_state_bool] :
              ( ! [X18: state] :
                  ( ! [X19: x_a] :
                      ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X42,X19),X15))
                     => hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X43,X19),X18)) )
                 => hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X12,X14),X18)) )
              & hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X0),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X42,X11,X43)),bot_bo1208640912a_bool))) ) )
     => hBOOL(hAPP_f1454306822l_bool(hoare_1617968510rivs_a(X0),hAPP_f16502863a_bool(hAPP_H1975128022a_bool(insert1434104874iple_a,hoare_1652181356iple_a(X10,X11,X12)),bot_bo1208640912a_bool))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWW470_1 : TPTP v8.2.0. Released v5.3.0.
% 0.07/0.12  % Command    : run_vampire %s %d THM
% 0.12/0.34  % Computer : n008.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Wed Jun 19 09:26:09 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.36  This is a TF0_THM_EQU_NAR problem
% 0.12/0.36  Running first-order theorem proving
% 0.12/0.36  Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.43  % (6770)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (6776)dis+1010_1:1_sil=2000:nwc=3.0:s2a=on:i=132:ins=5:fsr=off:ss=axioms:sd=2:fd=off_0 on theBenchmark for (2999ds/132Mi)
% 0.22/0.43  % (6770)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (6773)lrs+1010_2201:262144_anc=all:drc=encompass:sil=256000:sims=off:sp=frequency:spb=goal_then_units:rp=on:lwlo=on:st=3.0:i=179501:bs=unit_only:nm=6:ins=2:fsd=on:ss=axioms:sgt=16:afr=on:tgt=ground:awrs=decay:awrsf=200:acc=on:ccuc=first_0 on theBenchmark for (2999ds/179501Mi)
% 0.22/0.43  % (6770)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (6774)lrs+10_1:3_drc=off:sil=256000:sp=unary_first:lwlo=on:i=216875:kws=precedence:ins=3:rawr=on:nwc=10.0_0 on theBenchmark for (2999ds/216875Mi)
% 0.22/0.43  % (6770)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (6775)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.22/0.43  % (6770)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (6771)lrs+1011_1:12_anc=none:drc=off:sil=64000:sims=off:sp=unary_first:spb=goal_then_units:lsd=20:rnwc=on:nwc=2.0:i=53554:add=off:awrs=converge:bd=off:uhcvi=on:tgt=ground:afp=300:afq=1.63_0 on theBenchmark for (2999ds/53554Mi)
% 0.22/0.43  % (6770)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (6777)dis+1010_159245:1048576_to=lpo:sil=2000:etr=on:sp=unary_frequency:spb=goal:rnwc=on:nwc=10.9066:st=2:i=124:sd=1:nm=3:av=off:ss=axioms:rawr=on:drc=encompass:foolp=on:sgt=5:cond=fast:er=filter:erape=on:erml=2:s2a=on_0 on theBenchmark for (2999ds/124Mi)
% 0.22/0.43  % (6770)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (6772)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.22/0.48  % (6776)First to succeed.
% 0.22/0.48  % (6776)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6770"
% 0.22/0.48  % (6770)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.48  % (6776)Refutation found. Thanks to Tanya!
% 0.22/0.48  % SZS status Theorem for theBenchmark
% 0.22/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.49  % (6776)------------------------------
% 0.22/0.49  % (6776)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.49  % (6776)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.49  % (6776)Termination reason: Refutation
% 0.22/0.49  
% 0.22/0.49  % (6776)Memory used [KB]: 1901
% 0.22/0.49  % (6776)Time elapsed: 0.052 s
% 0.22/0.49  % (6776)Instructions burned: 78 (million)
% 0.22/0.49  % (6776)------------------------------
% 0.22/0.49  % (6776)------------------------------
% 0.22/0.49  % (6770)Success in time 0.113 s
%------------------------------------------------------------------------------