TSTP Solution File: SWV900-1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV900-1 : 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 : n021.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 11:12:08 EDT 2024

% Result   : Unsatisfiable 0.22s 0.45s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :  137
% Syntax   : Number of formulae    :  216 ( 113 unt;   0 def)
%            Number of atoms       :  346 (  26 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  202 (  72   ~;  61   |;   0   &)
%                                         (  69 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   94 (  92 usr;  72 prp; 0-4 aty)
%            Number of functors    :   28 (  28 usr;   8 con; 0-5 aty)
%            Number of variables   :  168 ( 168   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f922,plain,
    $false,
    inference(avatar_sat_refutation,[],[f609,f614,f619,f624,f629,f634,f639,f644,f649,f654,f659,f664,f669,f674,f679,f684,f689,f694,f699,f704,f709,f714,f719,f724,f729,f734,f739,f743,f747,f751,f755,f759,f764,f770,f774,f778,f783,f787,f791,f795,f799,f803,f807,f811,f815,f819,f823,f827,f831,f835,f839,f843,f847,f851,f855,f859,f863,f867,f871,f875,f879,f883,f887,f891,f895,f899,f903,f907,f918,f921]) ).

fof(f921,plain,
    ( spl0_34
    | ~ spl0_67 ),
    inference(avatar_contradiction_clause,[],[f919]) ).

fof(f919,plain,
    ( $false
    | spl0_34
    | ~ spl0_67 ),
    inference(resolution,[],[f902,f769]) ).

fof(f769,plain,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Com_Ostate)
    | spl0_34 ),
    inference(avatar_component_clause,[],[f767]) ).

fof(f767,plain,
    ( spl0_34
  <=> c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Com_Ostate) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f902,plain,
    ( ! [X0,X19] : c_Hoare__Mirabelle_Ohoare__derivs(X19,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X0),tc_bool)),X0)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f901]) ).

fof(f901,plain,
    ( spl0_67
  <=> ! [X0,X19] : c_Hoare__Mirabelle_Ohoare__derivs(X19,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X0),tc_bool)),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f918,plain,
    ( spl0_69
    | ~ spl0_3
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f908,f865,f616,f916]) ).

fof(f916,plain,
    ( spl0_69
  <=> ! [X0] : c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_nat) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f616,plain,
    ( spl0_3
  <=> class_Lattices_Oupper__semilattice(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f865,plain,
    ( spl0_58
  <=> ! [X2,X0] :
        ( ~ class_Lattices_Oupper__semilattice(X0)
        | c_Lattices_Oupper__semilattice__class_Osup(X2,X2,X0) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f908,plain,
    ( ! [X0] : c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_nat) = X0
    | ~ spl0_3
    | ~ spl0_58 ),
    inference(resolution,[],[f866,f618]) ).

fof(f618,plain,
    ( class_Lattices_Oupper__semilattice(tc_nat)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f616]) ).

fof(f866,plain,
    ( ! [X2,X0] :
        ( ~ class_Lattices_Oupper__semilattice(X0)
        | c_Lattices_Oupper__semilattice__class_Osup(X2,X2,X0) = X2 )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f865]) ).

fof(f907,plain,
    spl0_68,
    inference(avatar_split_clause,[],[f542,f905]) ).

fof(f905,plain,
    ( spl0_68
  <=> ! [X66,X67] :
        ( ~ class_Finite__Set_Ofinite_Ofinite(X66)
        | ~ class_Finite__Set_Ofinite_Ofinite(X67)
        | class_Finite__Set_Ofinite_Ofinite(tc_fun(X66,X67)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f542,axiom,
    ! [X66,X67] :
      ( ~ class_Finite__Set_Ofinite_Ofinite(X66)
      | ~ class_Finite__Set_Ofinite_Ofinite(X67)
      | class_Finite__Set_Ofinite_Ofinite(tc_fun(X66,X67)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Finite__Set_Ofinite_Ofinite) ).

fof(f903,plain,
    spl0_67,
    inference(avatar_split_clause,[],[f521,f901]) ).

fof(f521,axiom,
    ! [X0,X19] : c_Hoare__Mirabelle_Ohoare__derivs(X19,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X0),tc_bool)),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty_0) ).

fof(f899,plain,
    spl0_66,
    inference(avatar_split_clause,[],[f435,f897]) ).

fof(f897,plain,
    ( spl0_66
  <=> ! [X2,X0] : hAPP(c_Option_Othe(X0),c_Option_Ooption_OSome(X2,X0)) = X2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f435,axiom,
    ! [X2,X0] : hAPP(c_Option_Othe(X0),c_Option_Ooption_OSome(X2,X0)) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_the_Osimps_0) ).

fof(f895,plain,
    spl0_65,
    inference(avatar_split_clause,[],[f402,f893]) ).

fof(f893,plain,
    ( spl0_65
  <=> ! [X4,X0] : c_Lattices_Olower__semilattice__class_Oinf(X4,X4,tc_fun(X0,tc_bool)) = X4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f402,axiom,
    ! [X0,X4] : c_Lattices_Olower__semilattice__class_Oinf(X4,X4,tc_fun(X0,tc_bool)) = X4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__absorb_0) ).

fof(f891,plain,
    spl0_64,
    inference(avatar_split_clause,[],[f401,f889]) ).

fof(f889,plain,
    ( spl0_64
  <=> ! [X2,X0] :
        ( ~ class_Lattices_Olower__semilattice(X0)
        | c_Lattices_Olower__semilattice__class_Oinf(X2,X2,X0) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f401,axiom,
    ! [X2,X0] :
      ( ~ class_Lattices_Olower__semilattice(X0)
      | c_Lattices_Olower__semilattice__class_Oinf(X2,X2,X0) = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__idem_0) ).

fof(f887,plain,
    spl0_63,
    inference(avatar_split_clause,[],[f331,f885]) ).

fof(f885,plain,
    ( spl0_63
  <=> ! [X0,X19,X49] :
        ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X19,X49,X0)
        | c_Hoare__Mirabelle_Ohoare__valids(X19,X49,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f331,axiom,
    ! [X0,X49,X19] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X19,X49,X0)
      | c_Hoare__Mirabelle_Ohoare__valids(X19,X49,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hoare__sound_0) ).

fof(f883,plain,
    spl0_62,
    inference(avatar_split_clause,[],[f256,f881]) ).

fof(f881,plain,
    ( spl0_62
  <=> ! [X2,X0] : ~ hBOOL(c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f256,axiom,
    ! [X2,X0] : ~ hBOOL(c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ex__in__conv_0) ).

fof(f879,plain,
    spl0_61,
    inference(avatar_split_clause,[],[f212,f877]) ).

fof(f877,plain,
    ( spl0_61
  <=> ! [X2,X3] :
        ( X2 = X3
        | c_Suc(X2) != c_Suc(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f212,axiom,
    ! [X2,X3] :
      ( X2 = X3
      | c_Suc(X2) != c_Suc(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__inject_0) ).

fof(f875,plain,
    spl0_60,
    inference(avatar_split_clause,[],[f206,f873]) ).

fof(f873,plain,
    ( spl0_60
  <=> ! [X2,X0] : hBOOL(c_in(X2,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f206,axiom,
    ! [X2,X0] : hBOOL(c_in(X2,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UNIV__I_0) ).

fof(f871,plain,
    spl0_59,
    inference(avatar_split_clause,[],[f144,f869]) ).

fof(f869,plain,
    ( spl0_59
  <=> ! [X4,X0] : c_Lattices_Oupper__semilattice__class_Osup(X4,X4,tc_fun(X0,tc_bool)) = X4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f144,axiom,
    ! [X0,X4] : c_Lattices_Oupper__semilattice__class_Osup(X4,X4,tc_fun(X0,tc_bool)) = X4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__absorb_0) ).

fof(f867,plain,
    spl0_58,
    inference(avatar_split_clause,[],[f143,f865]) ).

fof(f143,axiom,
    ! [X2,X0] :
      ( ~ class_Lattices_Oupper__semilattice(X0)
      | c_Lattices_Oupper__semilattice__class_Osup(X2,X2,X0) = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__idem_0) ).

fof(f863,plain,
    spl0_57,
    inference(avatar_split_clause,[],[f140,f861]) ).

fof(f861,plain,
    ( spl0_57
  <=> ! [X9,X0,X2] : hBOOL(c_in(X2,c_Set_Oinsert(X2,X9,X0),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f140,axiom,
    ! [X2,X0,X9] : hBOOL(c_in(X2,c_Set_Oinsert(X2,X9,X0),X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertCI_1) ).

fof(f859,plain,
    spl0_56,
    inference(avatar_split_clause,[],[f134,f857]) ).

fof(f857,plain,
    ( spl0_56
  <=> ! [X20,X0,X12,X22] : hAPP(c_COMBK(X20,X0,X12),X22) = X20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f134,axiom,
    ! [X0,X22,X12,X20] : hAPP(c_COMBK(X20,X0,X12),X22) = X20,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_COMBK__def_0) ).

fof(f855,plain,
    spl0_55,
    inference(avatar_split_clause,[],[f579,f853]) ).

fof(f853,plain,
    ( spl0_55
  <=> ! [X2,X0] : hBOOL(hAPP(hAPP(c_fequal(X0),X2),X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f579,axiom,
    ! [X2,X0] : hBOOL(hAPP(hAPP(c_fequal(X0),X2),X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).

fof(f851,plain,
    spl0_54,
    inference(avatar_split_clause,[],[f520,f849]) ).

fof(f849,plain,
    ( spl0_54
  <=> ! [X2,X0] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f520,axiom,
    ! [X2,X0] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot1E_0) ).

fof(f847,plain,
    spl0_53,
    inference(avatar_split_clause,[],[f385,f845]) ).

fof(f845,plain,
    ( spl0_53
  <=> ! [X2,X0,X4] : hBOOL(hAPP(c_Set_Oinsert(X2,X4,X0),X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f385,axiom,
    ! [X2,X0,X4] : hBOOL(hAPP(c_Set_Oinsert(X2,X4,X0),X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_1) ).

fof(f843,plain,
    spl0_52,
    inference(avatar_split_clause,[],[f354,f841]) ).

fof(f841,plain,
    ( spl0_52
  <=> ! [X2,X0] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f354,axiom,
    ! [X2,X0] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_top1I_0) ).

fof(f839,plain,
    spl0_51,
    inference(avatar_split_clause,[],[f550,f837]) ).

fof(f837,plain,
    ( spl0_51
  <=> ! [X66,X67] :
        ( ~ class_HOL_Oord(X67)
        | class_HOL_Oord(tc_fun(X66,X67)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f550,axiom,
    ! [X66,X67] :
      ( ~ class_HOL_Oord(X67)
      | class_HOL_Oord(tc_fun(X66,X67)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__HOL_Oord) ).

fof(f835,plain,
    spl0_50,
    inference(avatar_split_clause,[],[f549,f833]) ).

fof(f833,plain,
    ( spl0_50
  <=> ! [X66,X67] :
        ( ~ class_HOL_Ominus(X67)
        | class_HOL_Ominus(tc_fun(X66,X67)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f549,axiom,
    ! [X66,X67] :
      ( ~ class_HOL_Ominus(X67)
      | class_HOL_Ominus(tc_fun(X66,X67)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__HOL_Ominus) ).

fof(f831,plain,
    spl0_49,
    inference(avatar_split_clause,[],[f548,f829]) ).

fof(f829,plain,
    ( spl0_49
  <=> ! [X66,X67] :
        ( ~ class_HOL_Ouminus(X67)
        | class_HOL_Ouminus(tc_fun(X66,X67)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f548,axiom,
    ! [X66,X67] :
      ( ~ class_HOL_Ouminus(X67)
      | class_HOL_Ouminus(tc_fun(X66,X67)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__HOL_Ouminus) ).

fof(f827,plain,
    spl0_48,
    inference(avatar_split_clause,[],[f547,f825]) ).

fof(f825,plain,
    ( spl0_48
  <=> ! [X66,X67] :
        ( ~ class_Orderings_Obot(X67)
        | class_Orderings_Obot(tc_fun(X66,X67)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f547,axiom,
    ! [X66,X67] :
      ( ~ class_Orderings_Obot(X67)
      | class_Orderings_Obot(tc_fun(X66,X67)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Obot) ).

fof(f823,plain,
    spl0_47,
    inference(avatar_split_clause,[],[f546,f821]) ).

fof(f821,plain,
    ( spl0_47
  <=> ! [X66,X67] :
        ( ~ class_Orderings_Otop(X67)
        | class_Orderings_Otop(tc_fun(X66,X67)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f546,axiom,
    ! [X66,X67] :
      ( ~ class_Orderings_Otop(X67)
      | class_Orderings_Otop(tc_fun(X66,X67)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Otop) ).

fof(f819,plain,
    spl0_46,
    inference(avatar_split_clause,[],[f545,f817]) ).

fof(f817,plain,
    ( spl0_46
  <=> ! [X66,X67] :
        ( ~ class_Orderings_Oorder(X67)
        | class_Orderings_Oorder(tc_fun(X66,X67)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f545,axiom,
    ! [X66,X67] :
      ( ~ class_Orderings_Oorder(X67)
      | class_Orderings_Oorder(tc_fun(X66,X67)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Oorder) ).

fof(f815,plain,
    spl0_45,
    inference(avatar_split_clause,[],[f544,f813]) ).

fof(f813,plain,
    ( spl0_45
  <=> ! [X66,X67] :
        ( ~ class_Lattices_Olattice(X67)
        | class_Lattices_Olattice(tc_fun(X66,X67)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f544,axiom,
    ! [X66,X67] :
      ( ~ class_Lattices_Olattice(X67)
      | class_Lattices_Olattice(tc_fun(X66,X67)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olattice) ).

fof(f811,plain,
    spl0_44,
    inference(avatar_split_clause,[],[f543,f809]) ).

fof(f809,plain,
    ( spl0_44
  <=> ! [X66,X67] :
        ( ~ class_Orderings_Opreorder(X67)
        | class_Orderings_Opreorder(tc_fun(X66,X67)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f543,axiom,
    ! [X66,X67] :
      ( ~ class_Orderings_Opreorder(X67)
      | class_Orderings_Opreorder(tc_fun(X66,X67)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Opreorder) ).

fof(f807,plain,
    spl0_43,
    inference(avatar_split_clause,[],[f541,f805]) ).

fof(f805,plain,
    ( spl0_43
  <=> ! [X66,X67] :
        ( ~ class_Lattices_Oboolean__algebra(X67)
        | class_Lattices_Oboolean__algebra(tc_fun(X66,X67)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f541,axiom,
    ! [X66,X67] :
      ( ~ class_Lattices_Oboolean__algebra(X67)
      | class_Lattices_Oboolean__algebra(tc_fun(X66,X67)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Oboolean__algebra) ).

fof(f803,plain,
    spl0_42,
    inference(avatar_split_clause,[],[f540,f801]) ).

fof(f801,plain,
    ( spl0_42
  <=> ! [X66,X67] :
        ( ~ class_Lattices_Obounded__lattice(X67)
        | class_Lattices_Obounded__lattice(tc_fun(X66,X67)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f540,axiom,
    ! [X66,X67] :
      ( ~ class_Lattices_Obounded__lattice(X67)
      | class_Lattices_Obounded__lattice(tc_fun(X66,X67)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Obounded__lattice) ).

fof(f799,plain,
    spl0_41,
    inference(avatar_split_clause,[],[f539,f797]) ).

fof(f797,plain,
    ( spl0_41
  <=> ! [X66,X67] :
        ( ~ class_Lattices_Odistrib__lattice(X67)
        | class_Lattices_Odistrib__lattice(tc_fun(X66,X67)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f539,axiom,
    ! [X66,X67] :
      ( ~ class_Lattices_Odistrib__lattice(X67)
      | class_Lattices_Odistrib__lattice(tc_fun(X66,X67)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Odistrib__lattice) ).

fof(f795,plain,
    spl0_40,
    inference(avatar_split_clause,[],[f538,f793]) ).

fof(f793,plain,
    ( spl0_40
  <=> ! [X66,X67] :
        ( ~ class_Lattices_Olattice(X67)
        | class_Lattices_Olower__semilattice(tc_fun(X66,X67)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f538,axiom,
    ! [X66,X67] :
      ( ~ class_Lattices_Olattice(X67)
      | class_Lattices_Olower__semilattice(tc_fun(X66,X67)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olower__semilattice) ).

fof(f791,plain,
    spl0_39,
    inference(avatar_split_clause,[],[f537,f789]) ).

fof(f789,plain,
    ( spl0_39
  <=> ! [X66,X67] :
        ( ~ class_Lattices_Olattice(X67)
        | class_Lattices_Oupper__semilattice(tc_fun(X66,X67)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f537,axiom,
    ! [X66,X67] :
      ( ~ class_Lattices_Olattice(X67)
      | class_Lattices_Oupper__semilattice(tc_fun(X66,X67)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Oupper__semilattice) ).

fof(f787,plain,
    spl0_38,
    inference(avatar_split_clause,[],[f536,f785]) ).

fof(f785,plain,
    ( spl0_38
  <=> ! [X66,X67] :
        ( ~ class_Complete__Lattice_Ocomplete__lattice(X67)
        | class_Complete__Lattice_Ocomplete__lattice(tc_fun(X66,X67)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f536,axiom,
    ! [X66,X67] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X67)
      | class_Complete__Lattice_Ocomplete__lattice(tc_fun(X66,X67)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Complete__Lattice_Ocomplete__lattice) ).

fof(f783,plain,
    spl0_37,
    inference(avatar_split_clause,[],[f490,f780]) ).

fof(f780,plain,
    ( spl0_37
  <=> c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f490,axiom,
    c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__dom__body_0) ).

fof(f778,plain,
    spl0_36,
    inference(avatar_split_clause,[],[f271,f776]) ).

fof(f776,plain,
    ( spl0_36
  <=> ! [X0] : c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f271,axiom,
    ! [X0] : c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite_OemptyI_0) ).

fof(f774,plain,
    spl0_35,
    inference(avatar_split_clause,[],[f27,f772]) ).

fof(f772,plain,
    ( spl0_35
  <=> ! [X18,X0] : c_Option_Ooption_ONone(X0) != c_Option_Ooption_OSome(X18,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f27,axiom,
    ! [X0,X18] : c_Option_Ooption_ONone(X0) != c_Option_Ooption_OSome(X18,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_option_Osimps_I2_J_0) ).

fof(f770,plain,
    ( ~ spl0_34
    | spl0_33 ),
    inference(avatar_split_clause,[],[f765,f761,f767]) ).

fof(f761,plain,
    ( spl0_33
  <=> c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Com_Ostate) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f765,plain,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Com_Ostate)
    | spl0_33 ),
    inference(forward_demodulation,[],[f763,f511]) ).

fof(f511,axiom,
    ! [X0,X11,X4,X35,X12,X32] : c_Set_Oimage(X11,c_Set_Oimage(X35,X4,X32,X12),X12,X0) = c_Set_Oimage(c_COMBB(X11,X35,X12,X0,X32),X4,X32,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__image_0) ).

fof(f763,plain,
    ( ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Com_Ostate)
    | spl0_33 ),
    inference(avatar_component_clause,[],[f761]) ).

fof(f764,plain,
    ~ spl0_33,
    inference(avatar_split_clause,[],[f535,f761]) ).

fof(f535,axiom,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Com_Ostate),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f759,plain,
    spl0_32,
    inference(avatar_split_clause,[],[f576,f757]) ).

fof(f757,plain,
    ( spl0_32
  <=> ! [X67] :
        ( ~ class_Finite__Set_Ofinite_Ofinite(X67)
        | class_Finite__Set_Ofinite_Ofinite(tc_Option_Ooption(X67)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f576,axiom,
    ! [X67] :
      ( ~ class_Finite__Set_Ofinite_Ofinite(X67)
      | class_Finite__Set_Ofinite_Ofinite(tc_Option_Ooption(X67)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Option__Ooption__Finite__Set_Ofinite_Ofinite) ).

fof(f755,plain,
    ( spl0_31
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f439,f606,f753]) ).

fof(f753,plain,
    ( spl0_31
  <=> ! [X31] : v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X31) != X31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f606,plain,
    ( spl0_1
  <=> c_Hoare__Mirabelle_Ostate__not__singleton ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f439,axiom,
    ! [X31] :
      ( ~ c_Hoare__Mirabelle_Ostate__not__singleton
      | v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X31) != X31 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_single__stateE_0) ).

fof(f751,plain,
    spl0_30,
    inference(avatar_split_clause,[],[f191,f749]) ).

fof(f749,plain,
    ( spl0_30
  <=> ! [X11,X0,X12] : c_Map_Omap__le(X11,X11,X0,X12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f191,axiom,
    ! [X0,X11,X12] : c_Map_Omap__le(X11,X11,X0,X12),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__le__refl_0) ).

fof(f747,plain,
    spl0_29,
    inference(avatar_split_clause,[],[f79,f745]) ).

fof(f745,plain,
    ( spl0_29
  <=> ! [X4,X0] :
        ( ~ class_Finite__Set_Ofinite_Ofinite(X0)
        | c_Finite__Set_Ofinite(X4,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f79,axiom,
    ! [X0,X4] :
      ( ~ class_Finite__Set_Ofinite_Ofinite(X0)
      | c_Finite__Set_Ofinite(X4,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite_0) ).

fof(f743,plain,
    spl0_28,
    inference(avatar_split_clause,[],[f399,f741]) ).

fof(f741,plain,
    ( spl0_28
  <=> ! [X10] : c_Suc(X10) != X10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f399,axiom,
    ! [X10] : c_Suc(X10) != X10,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_n__not__Suc__n_0) ).

fof(f739,plain,
    spl0_27,
    inference(avatar_split_clause,[],[f575,f736]) ).

fof(f736,plain,
    ( spl0_27
  <=> class_HOL_Oord(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f575,axiom,
    class_HOL_Oord(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__HOL_Oord) ).

fof(f734,plain,
    spl0_26,
    inference(avatar_split_clause,[],[f574,f731]) ).

fof(f731,plain,
    ( spl0_26
  <=> class_HOL_Ominus(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f574,axiom,
    class_HOL_Ominus(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__HOL_Ominus) ).

fof(f729,plain,
    spl0_25,
    inference(avatar_split_clause,[],[f573,f726]) ).

fof(f726,plain,
    ( spl0_25
  <=> class_HOL_Ouminus(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f573,axiom,
    class_HOL_Ouminus(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__HOL_Ouminus) ).

fof(f724,plain,
    spl0_24,
    inference(avatar_split_clause,[],[f572,f721]) ).

fof(f721,plain,
    ( spl0_24
  <=> class_Orderings_Obot(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f572,axiom,
    class_Orderings_Obot(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Obot) ).

fof(f719,plain,
    spl0_23,
    inference(avatar_split_clause,[],[f571,f716]) ).

fof(f716,plain,
    ( spl0_23
  <=> class_Orderings_Otop(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f571,axiom,
    class_Orderings_Otop(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Otop) ).

fof(f714,plain,
    spl0_22,
    inference(avatar_split_clause,[],[f570,f711]) ).

fof(f711,plain,
    ( spl0_22
  <=> class_Orderings_Oorder(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f570,axiom,
    class_Orderings_Oorder(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Oorder) ).

fof(f709,plain,
    spl0_21,
    inference(avatar_split_clause,[],[f569,f706]) ).

fof(f706,plain,
    ( spl0_21
  <=> class_Lattices_Olattice(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f569,axiom,
    class_Lattices_Olattice(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olattice) ).

fof(f704,plain,
    spl0_20,
    inference(avatar_split_clause,[],[f568,f701]) ).

fof(f701,plain,
    ( spl0_20
  <=> class_Orderings_Opreorder(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f568,axiom,
    class_Orderings_Opreorder(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Opreorder) ).

fof(f699,plain,
    spl0_19,
    inference(avatar_split_clause,[],[f567,f696]) ).

fof(f696,plain,
    ( spl0_19
  <=> class_Finite__Set_Ofinite_Ofinite(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f567,axiom,
    class_Finite__Set_Ofinite_Ofinite(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Finite__Set_Ofinite_Ofinite) ).

fof(f694,plain,
    spl0_18,
    inference(avatar_split_clause,[],[f566,f691]) ).

fof(f691,plain,
    ( spl0_18
  <=> class_Lattices_Oboolean__algebra(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f566,axiom,
    class_Lattices_Oboolean__algebra(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oboolean__algebra) ).

fof(f689,plain,
    spl0_17,
    inference(avatar_split_clause,[],[f565,f686]) ).

fof(f686,plain,
    ( spl0_17
  <=> class_Lattices_Obounded__lattice(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f565,axiom,
    class_Lattices_Obounded__lattice(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Obounded__lattice) ).

fof(f684,plain,
    spl0_16,
    inference(avatar_split_clause,[],[f564,f681]) ).

fof(f681,plain,
    ( spl0_16
  <=> class_Lattices_Odistrib__lattice(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f564,axiom,
    class_Lattices_Odistrib__lattice(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Odistrib__lattice) ).

fof(f679,plain,
    spl0_15,
    inference(avatar_split_clause,[],[f563,f676]) ).

fof(f676,plain,
    ( spl0_15
  <=> class_Lattices_Olower__semilattice(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f563,axiom,
    class_Lattices_Olower__semilattice(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olower__semilattice) ).

fof(f674,plain,
    spl0_14,
    inference(avatar_split_clause,[],[f562,f671]) ).

fof(f671,plain,
    ( spl0_14
  <=> class_Lattices_Oupper__semilattice(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f562,axiom,
    class_Lattices_Oupper__semilattice(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oupper__semilattice) ).

fof(f669,plain,
    spl0_13,
    inference(avatar_split_clause,[],[f561,f666]) ).

fof(f666,plain,
    ( spl0_13
  <=> class_Complete__Lattice_Ocomplete__lattice(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f561,axiom,
    class_Complete__Lattice_Ocomplete__lattice(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Complete__Lattice_Ocomplete__lattice) ).

fof(f664,plain,
    spl0_12,
    inference(avatar_split_clause,[],[f560,f661]) ).

fof(f661,plain,
    ( spl0_12
  <=> class_HOL_Oord(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f560,axiom,
    class_HOL_Oord(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__HOL_Oord) ).

fof(f659,plain,
    spl0_11,
    inference(avatar_split_clause,[],[f559,f656]) ).

fof(f656,plain,
    ( spl0_11
  <=> class_HOL_Ominus(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f559,axiom,
    class_HOL_Ominus(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__HOL_Ominus) ).

fof(f654,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f558,f651]) ).

fof(f651,plain,
    ( spl0_10
  <=> class_Orderings_Obot(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f558,axiom,
    class_Orderings_Obot(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Obot) ).

fof(f649,plain,
    spl0_9,
    inference(avatar_split_clause,[],[f557,f646]) ).

fof(f646,plain,
    ( spl0_9
  <=> class_Orderings_Oorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f557,axiom,
    class_Orderings_Oorder(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Oorder) ).

fof(f644,plain,
    spl0_8,
    inference(avatar_split_clause,[],[f556,f641]) ).

fof(f641,plain,
    ( spl0_8
  <=> class_Lattices_Olattice(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f556,axiom,
    class_Lattices_Olattice(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Lattices_Olattice) ).

fof(f639,plain,
    spl0_7,
    inference(avatar_split_clause,[],[f555,f636]) ).

fof(f636,plain,
    ( spl0_7
  <=> class_Orderings_Olinorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f555,axiom,
    class_Orderings_Olinorder(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).

fof(f634,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f554,f631]) ).

fof(f631,plain,
    ( spl0_6
  <=> class_Orderings_Opreorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f554,axiom,
    class_Orderings_Opreorder(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Opreorder) ).

fof(f629,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f553,f626]) ).

fof(f626,plain,
    ( spl0_5
  <=> class_Lattices_Odistrib__lattice(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f553,axiom,
    class_Lattices_Odistrib__lattice(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Lattices_Odistrib__lattice) ).

fof(f624,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f552,f621]) ).

fof(f621,plain,
    ( spl0_4
  <=> class_Lattices_Olower__semilattice(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f552,axiom,
    class_Lattices_Olower__semilattice(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Lattices_Olower__semilattice) ).

fof(f619,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f551,f616]) ).

fof(f551,axiom,
    class_Lattices_Oupper__semilattice(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Lattices_Oupper__semilattice) ).

fof(f614,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f533,f611]) ).

fof(f611,plain,
    ( spl0_2
  <=> c_Com_OWT__bodies ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f533,axiom,
    c_Com_OWT__bodies,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f609,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f532,f606]) ).

fof(f532,axiom,
    c_Hoare__Mirabelle_Ostate__not__singleton,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SWV900-1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n021.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 21:07:53 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (30445)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.41  % (30448)WARNING: value z3 for option sas not known
% 0.22/0.41  % (30449)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.41  % (30450)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)
% 0.22/0.41  % (30451)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)
% 0.22/0.41  % (30447)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.41  % (30448)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)
% 0.22/0.41  % (30446)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.41  % (30452)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)
% 0.22/0.44  % (30450)First to succeed.
% 0.22/0.45  % (30450)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30445"
% 0.22/0.45  % (30450)Refutation found. Thanks to Tanya!
% 0.22/0.45  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.45  % (30450)------------------------------
% 0.22/0.45  % (30450)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.45  % (30450)Termination reason: Refutation
% 0.22/0.45  
% 0.22/0.45  % (30450)Memory used [KB]: 1595
% 0.22/0.45  % (30450)Time elapsed: 0.033 s
% 0.22/0.45  % (30450)Instructions burned: 56 (million)
% 0.22/0.45  % (30445)Success in time 0.072 s
%------------------------------------------------------------------------------