TSTP Solution File: SWV781-1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV781-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n016.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 : Sun May  5 11:11:06 EDT 2024

% Result   : Unsatisfiable 0.19s 0.41s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   76
% Syntax   : Number of formulae    :  121 (  68 unt;   0 def)
%            Number of atoms       :  183 (  21 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   97 (  35   ~;  24   |;   0   &)
%                                         (  38 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   52 (  50 usr;  39 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;   9 con; 0-3 aty)
%            Number of variables   :   72 (  72   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f756,plain,
    $false,
    inference(avatar_sat_refutation,[],[f579,f584,f589,f594,f599,f604,f609,f614,f619,f624,f629,f634,f639,f644,f650,f655,f660,f664,f668,f672,f676,f680,f684,f688,f692,f696,f700,f704,f708,f712,f716,f720,f724,f728,f732,f736,f740,f744,f755]) ).

fof(f755,plain,
    ( spl0_15
    | ~ spl0_33 ),
    inference(avatar_contradiction_clause,[],[f754]) ).

fof(f754,plain,
    ( $false
    | spl0_15
    | ~ spl0_33 ),
    inference(resolution,[],[f723,f649]) ).

fof(f649,plain,
    ( ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool))
    | spl0_15 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f647,plain,
    ( spl0_15
  <=> c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f723,plain,
    ( ! [X3,X8] : c_lessequals(X8,X8,tc_fun(X3,tc_bool))
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f722,plain,
    ( spl0_33
  <=> ! [X8,X3] : c_lessequals(X8,X8,tc_fun(X3,tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f744,plain,
    spl0_38,
    inference(avatar_split_clause,[],[f532,f742]) ).

fof(f742,plain,
    ( spl0_38
  <=> ! [X70,X69] :
        ( ~ class_HOL_Oord(X70)
        | class_HOL_Oord(tc_fun(X69,X70)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f532,axiom,
    ! [X70,X69] :
      ( ~ class_HOL_Oord(X70)
      | class_HOL_Oord(tc_fun(X69,X70)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__HOL_Oord) ).

fof(f740,plain,
    spl0_37,
    inference(avatar_split_clause,[],[f531,f738]) ).

fof(f738,plain,
    ( spl0_37
  <=> ! [X70,X69] :
        ( ~ class_Orderings_Oorder(X70)
        | class_Orderings_Oorder(tc_fun(X69,X70)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f531,axiom,
    ! [X70,X69] :
      ( ~ class_Orderings_Oorder(X70)
      | class_Orderings_Oorder(tc_fun(X69,X70)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Oorder) ).

fof(f736,plain,
    spl0_36,
    inference(avatar_split_clause,[],[f530,f734]) ).

fof(f734,plain,
    ( spl0_36
  <=> ! [X70,X69] :
        ( ~ class_Lattices_Olattice(X70)
        | class_Lattices_Olattice(tc_fun(X69,X70)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f530,axiom,
    ! [X70,X69] :
      ( ~ class_Lattices_Olattice(X70)
      | class_Lattices_Olattice(tc_fun(X69,X70)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olattice) ).

fof(f732,plain,
    spl0_35,
    inference(avatar_split_clause,[],[f529,f730]) ).

fof(f730,plain,
    ( spl0_35
  <=> ! [X70,X69] :
        ( ~ class_Orderings_Opreorder(X70)
        | class_Orderings_Opreorder(tc_fun(X69,X70)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f529,axiom,
    ! [X70,X69] :
      ( ~ class_Orderings_Opreorder(X70)
      | class_Orderings_Opreorder(tc_fun(X69,X70)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Opreorder) ).

fof(f728,plain,
    spl0_34,
    inference(avatar_split_clause,[],[f528,f726]) ).

fof(f726,plain,
    ( spl0_34
  <=> ! [X70,X69] :
        ( ~ class_Lattices_Olattice(X70)
        | class_Lattices_Oupper__semilattice(tc_fun(X69,X70)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f528,axiom,
    ! [X70,X69] :
      ( ~ class_Lattices_Olattice(X70)
      | class_Lattices_Oupper__semilattice(tc_fun(X69,X70)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Oupper__semilattice) ).

fof(f724,plain,
    spl0_33,
    inference(avatar_split_clause,[],[f516,f722]) ).

fof(f516,axiom,
    ! [X3,X8] : c_lessequals(X8,X8,tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__refl_0) ).

fof(f720,plain,
    spl0_32,
    inference(avatar_split_clause,[],[f513,f718]) ).

fof(f718,plain,
    ( spl0_32
  <=> ! [X1,X3] :
        ( ~ class_Orderings_Oorder(X3)
        | c_lessequals(X1,X1,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f513,axiom,
    ! [X3,X1] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X1,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__iff_0) ).

fof(f716,plain,
    spl0_31,
    inference(avatar_split_clause,[],[f512,f714]) ).

fof(f714,plain,
    ( spl0_31
  <=> ! [X1,X3] :
        ( ~ class_Orderings_Opreorder(X3)
        | c_lessequals(X1,X1,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f512,axiom,
    ! [X3,X1] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X1,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__refl_0) ).

fof(f712,plain,
    spl0_30,
    inference(avatar_split_clause,[],[f414,f710]) ).

fof(f710,plain,
    ( spl0_30
  <=> ! [X11] : c_Message_Oparts(X11) = c_Message_Oparts(c_Message_Oanalz(X11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f414,axiom,
    ! [X11] : c_Message_Oparts(X11) = c_Message_Oparts(c_Message_Oanalz(X11)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__analz_0) ).

fof(f708,plain,
    spl0_29,
    inference(avatar_split_clause,[],[f411,f706]) ).

fof(f706,plain,
    ( spl0_29
  <=> ! [X11] : c_Message_Oanalz(X11) = c_Message_Oanalz(c_Message_Oanalz(X11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f411,axiom,
    ! [X11] : c_Message_Oanalz(X11) = c_Message_Oanalz(c_Message_Oanalz(X11)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__idem_0) ).

fof(f704,plain,
    spl0_28,
    inference(avatar_split_clause,[],[f383,f702]) ).

fof(f702,plain,
    ( spl0_28
  <=> ! [X11] : c_Message_Oparts(X11) = c_Message_Oparts(c_Message_Oparts(X11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f383,axiom,
    ! [X11] : c_Message_Oparts(X11) = c_Message_Oparts(c_Message_Oparts(X11)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__idem_0) ).

fof(f700,plain,
    spl0_27,
    inference(avatar_split_clause,[],[f379,f698]) ).

fof(f698,plain,
    ( spl0_27
  <=> ! [X11] : c_Message_Oparts(X11) = c_Message_Oanalz(c_Message_Oparts(X11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f379,axiom,
    ! [X11] : c_Message_Oparts(X11) = c_Message_Oanalz(c_Message_Oparts(X11)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__parts_0) ).

fof(f696,plain,
    spl0_26,
    inference(avatar_split_clause,[],[f331,f694]) ).

fof(f694,plain,
    ( spl0_26
  <=> ! [X11] : c_Message_Osynth(X11) = c_Message_Osynth(c_Message_Osynth(X11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f331,axiom,
    ! [X11] : c_Message_Osynth(X11) = c_Message_Osynth(c_Message_Osynth(X11)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__idem_0) ).

fof(f692,plain,
    spl0_25,
    inference(avatar_split_clause,[],[f328,f690]) ).

fof(f690,plain,
    ( spl0_25
  <=> ! [X34,X1,X3] : c_List_Olist_OCons(X1,X34,X3) != X34 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f328,axiom,
    ! [X3,X1,X34] : c_List_Olist_OCons(X1,X34,X3) != X34,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__Cons__self2_0) ).

fof(f688,plain,
    spl0_24,
    inference(avatar_split_clause,[],[f272,f686]) ).

fof(f686,plain,
    ( spl0_24
  <=> ! [X3] :
        ( ~ class_Orderings_Olinorder(X3)
        | c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X3),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f272,axiom,
    ! [X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted_Osimps_I1_J_0) ).

fof(f684,plain,
    spl0_23,
    inference(avatar_split_clause,[],[f402,f682]) ).

fof(f682,plain,
    ( spl0_23
  <=> ! [X2,X3] : c_List_Odistinct(c_List_Oremdups(X2,X3),X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f402,axiom,
    ! [X2,X3] : c_List_Odistinct(c_List_Oremdups(X2,X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__remdups_0) ).

fof(f680,plain,
    spl0_22,
    inference(avatar_split_clause,[],[f355,f678]) ).

fof(f678,plain,
    ( spl0_22
  <=> ! [X0,X3] : c_COMBI(X0,X3) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f355,axiom,
    ! [X3,X0] : c_COMBI(X0,X3) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_COMBI__def_0) ).

fof(f676,plain,
    spl0_21,
    inference(avatar_split_clause,[],[f544,f674]) ).

fof(f674,plain,
    ( spl0_21
  <=> ! [X1,X3] : c_fequal(X1,X1,X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f544,axiom,
    ! [X3,X1] : c_fequal(X1,X1,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).

fof(f672,plain,
    spl0_20,
    inference(avatar_split_clause,[],[f456,f670]) ).

fof(f670,plain,
    ( spl0_20
  <=> ! [X44] : c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X44) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f456,axiom,
    ! [X44] : c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X44),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I7_J_0) ).

fof(f668,plain,
    spl0_19,
    inference(avatar_split_clause,[],[f356,f666]) ).

fof(f666,plain,
    ( spl0_19
  <=> ! [X50] : c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X50) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f356,axiom,
    ! [X50] : c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X50),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I2_J_0) ).

fof(f664,plain,
    spl0_18,
    inference(avatar_split_clause,[],[f257,f662]) ).

fof(f662,plain,
    ( spl0_18
  <=> ! [X3] : c_List_Odistinct(c_List_Olist_ONil(X3),X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f257,axiom,
    ! [X3] : c_List_Odistinct(c_List_Olist_ONil(X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct_Osimps_I1_J_0) ).

fof(f660,plain,
    spl0_17,
    inference(avatar_split_clause,[],[f174,f657]) ).

fof(f657,plain,
    ( spl0_17
  <=> c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f174,axiom,
    c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Spy__in__bad_0) ).

fof(f655,plain,
    ~ spl0_16,
    inference(avatar_split_clause,[],[f87,f652]) ).

fof(f652,plain,
    ( spl0_16
  <=> c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f87,axiom,
    ~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Server__not__bad_0) ).

fof(f650,plain,
    ( ~ spl0_15
    | spl0_14 ),
    inference(avatar_split_clause,[],[f645,f641,f647]) ).

fof(f641,plain,
    ( spl0_14
  <=> c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(v_P,c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f645,plain,
    ( ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool))
    | spl0_14 ),
    inference(forward_demodulation,[],[f643,f520]) ).

fof(f520,axiom,
    ! [X3,X0] : c_List_Olist_ONil(X3) = c_List_OtakeWhile(X0,c_List_Olist_ONil(X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_takeWhile_Osimps_I1_J_0) ).

fof(f643,plain,
    ( ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(v_P,c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool))
    | spl0_14 ),
    inference(avatar_component_clause,[],[f641]) ).

fof(f644,plain,
    ~ spl0_14,
    inference(avatar_split_clause,[],[f527,f641]) ).

fof(f527,axiom,
    ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(v_P,c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f639,plain,
    spl0_13,
    inference(avatar_split_clause,[],[f482,f636]) ).

fof(f636,plain,
    ( spl0_13
  <=> c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f482,axiom,
    c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__sharedp_ONil_0) ).

fof(f634,plain,
    ~ spl0_12,
    inference(avatar_split_clause,[],[f454,f631]) ).

fof(f631,plain,
    ( spl0_12
  <=> c_Message_Oagent_OServer = c_Message_Oagent_OSpy ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f454,axiom,
    c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I4_J_0) ).

fof(f629,plain,
    spl0_11,
    inference(avatar_split_clause,[],[f543,f626]) ).

fof(f626,plain,
    ( spl0_11
  <=> class_HOL_Oord(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f543,axiom,
    class_HOL_Oord(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__HOL_Oord) ).

fof(f624,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f542,f621]) ).

fof(f621,plain,
    ( spl0_10
  <=> class_Orderings_Oorder(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f542,axiom,
    class_Orderings_Oorder(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Oorder) ).

fof(f619,plain,
    spl0_9,
    inference(avatar_split_clause,[],[f541,f616]) ).

fof(f616,plain,
    ( spl0_9
  <=> class_Lattices_Olattice(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f541,axiom,
    class_Lattices_Olattice(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olattice) ).

fof(f614,plain,
    spl0_8,
    inference(avatar_split_clause,[],[f540,f611]) ).

fof(f611,plain,
    ( spl0_8
  <=> class_Orderings_Opreorder(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f540,axiom,
    class_Orderings_Opreorder(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Opreorder) ).

fof(f609,plain,
    spl0_7,
    inference(avatar_split_clause,[],[f539,f606]) ).

fof(f606,plain,
    ( spl0_7
  <=> class_Lattices_Oupper__semilattice(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f539,axiom,
    class_Lattices_Oupper__semilattice(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oupper__semilattice) ).

fof(f604,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f538,f601]) ).

fof(f601,plain,
    ( spl0_6
  <=> class_HOL_Oord(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f538,axiom,
    class_HOL_Oord(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__HOL_Oord) ).

fof(f599,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f537,f596]) ).

fof(f596,plain,
    ( spl0_5
  <=> class_Orderings_Oorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f537,axiom,
    class_Orderings_Oorder(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Oorder) ).

fof(f594,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f536,f591]) ).

fof(f591,plain,
    ( spl0_4
  <=> class_Lattices_Olattice(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f536,axiom,
    class_Lattices_Olattice(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Lattices_Olattice) ).

fof(f589,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f535,f586]) ).

fof(f586,plain,
    ( spl0_3
  <=> class_Orderings_Olinorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f535,axiom,
    class_Orderings_Olinorder(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).

fof(f584,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f534,f581]) ).

fof(f581,plain,
    ( spl0_2
  <=> class_Orderings_Opreorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f534,axiom,
    class_Orderings_Opreorder(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Opreorder) ).

fof(f579,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f533,f576]) ).

fof(f576,plain,
    ( spl0_1
  <=> class_Lattices_Oupper__semilattice(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f533,axiom,
    class_Lattices_Oupper__semilattice(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Lattices_Oupper__semilattice) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWV781-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n016.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 20:56:53 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (15479)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.39  % (15482)WARNING: value z3 for option sas not known
% 0.19/0.39  % (15484)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.19/0.39  % (15483)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.19/0.39  % (15481)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.19/0.39  % (15486)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.19/0.39  % (15482)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.19/0.39  % (15485)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.19/0.39  % (15480)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.19/0.41  % (15484)First to succeed.
% 0.19/0.41  % (15484)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15479"
% 0.19/0.41  % (15484)Refutation found. Thanks to Tanya!
% 0.19/0.41  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.41  % (15484)------------------------------
% 0.19/0.41  % (15484)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.41  % (15484)Termination reason: Refutation
% 0.19/0.41  
% 0.19/0.41  % (15484)Memory used [KB]: 1451
% 0.19/0.41  % (15484)Time elapsed: 0.021 s
% 0.19/0.41  % (15484)Instructions burned: 39 (million)
% 0.19/0.41  % (15479)Success in time 0.058 s
%------------------------------------------------------------------------------