TSTP Solution File: SWV926-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV926-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n026.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 : Thu Aug 31 23:31:02 EDT 2023

% Result   : Unsatisfiable 0.34s 0.64s
% Output   : Refutation 0.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   50 (  15 unt;   0 def)
%            Number of atoms       :  100 (   5 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  106 (  56   ~;  47   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    8 (   6 usr;   4 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;  10 con; 0-3 aty)
%            Number of variables   :   24 (;  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1636,plain,
    $false,
    inference(avatar_sat_refutation,[],[f515,f767,f1538,f1633]) ).

fof(f1633,plain,
    ( spl0_2
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1632]) ).

fof(f1632,plain,
    ( $false
    | spl0_2
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1631,f727]) ).

fof(f727,plain,
    ( class_Lattices_Oupper__semilattice(tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f726,plain,
    ( spl0_11
  <=> class_Lattices_Oupper__semilattice(tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f1631,plain,
    ( ~ class_Lattices_Oupper__semilattice(tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | spl0_2 ),
    inference(subsumption_resolution,[],[f1625,f1528]) ).

fof(f1528,plain,
    c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
    inference(resolution,[],[f516,f798]) ).

fof(f798,plain,
    c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_ad,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
    inference(superposition,[],[f450,f471]) ).

fof(f471,axiom,
    v_ad = c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_ae,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
    file('/export/starexec/sandbox/tmp/tmp.U5KeOxGVAz/Vampire---4.8_17612',cls_conjecture_5) ).

fof(f450,axiom,
    ! [X2,X39,X4] : c_lessequals(X4,c_Lattices_Oupper__semilattice__class_Osup(X4,X39,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox/tmp/tmp.U5KeOxGVAz/Vampire---4.8_17612',cls_Un__upper1_0) ).

fof(f516,plain,
    ! [X0] :
      ( ~ c_lessequals(X0,v_ad,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
      | c_lessequals(X0,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
    inference(resolution,[],[f466,f399]) ).

fof(f399,axiom,
    ! [X2,X39,X4,X17] :
      ( ~ c_lessequals(X39,X17,tc_fun(X2,tc_bool))
      | ~ c_lessequals(X4,X39,tc_fun(X2,tc_bool))
      | c_lessequals(X4,X17,tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox/tmp/tmp.U5KeOxGVAz/Vampire---4.8_17612',cls_subset__trans_0) ).

fof(f466,axiom,
    c_lessequals(v_ad,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
    file('/export/starexec/sandbox/tmp/tmp.U5KeOxGVAz/Vampire---4.8_17612',cls_conjecture_0) ).

fof(f1625,plain,
    ( ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ class_Lattices_Oupper__semilattice(tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | spl0_2 ),
    inference(resolution,[],[f1539,f413]) ).

fof(f413,axiom,
    ! [X2,X21,X0,X6] :
      ( c_lessequals(X6,c_Lattices_Oupper__semilattice__class_Osup(X21,X0,X2),X2)
      | ~ c_lessequals(X6,X0,X2)
      | ~ class_Lattices_Oupper__semilattice(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.U5KeOxGVAz/Vampire---4.8_17612',cls_le__supI2_0) ).

fof(f1539,plain,
    ( ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | spl0_2 ),
    inference(forward_demodulation,[],[f514,f644]) ).

fof(f644,plain,
    v_ab = c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
    inference(superposition,[],[f469,f459]) ).

fof(f459,axiom,
    ! [X2,X39,X4] : c_Lattices_Oupper__semilattice__class_Osup(X4,X39,tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X39,X4,tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox/tmp/tmp.U5KeOxGVAz/Vampire---4.8_17612',cls_Un__commute_0) ).

fof(f469,axiom,
    v_ab = c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_ac,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
    file('/export/starexec/sandbox/tmp/tmp.U5KeOxGVAz/Vampire---4.8_17612',cls_conjecture_3) ).

fof(f514,plain,
    ( ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_x,c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | spl0_2 ),
    inference(avatar_component_clause,[],[f512]) ).

fof(f512,plain,
    ( spl0_2
  <=> c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_x,c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1538,plain,
    ( spl0_1
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1537]) ).

fof(f1537,plain,
    ( $false
    | spl0_1
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f1529,f915]) ).

fof(f915,plain,
    ( ~ c_lessequals(v_ae,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | spl0_1
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f914,f644]) ).

fof(f914,plain,
    ( ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | spl0_1
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f894,f727]) ).

fof(f894,plain,
    ( ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ class_Lattices_Oupper__semilattice(tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | spl0_1 ),
    inference(resolution,[],[f510,f413]) ).

fof(f510,plain,
    ( ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_x,c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f508,plain,
    ( spl0_1
  <=> c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_x,c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1529,plain,
    c_lessequals(v_ae,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
    inference(resolution,[],[f516,f797]) ).

fof(f797,plain,
    c_lessequals(v_ae,v_ad,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
    inference(superposition,[],[f449,f471]) ).

fof(f449,axiom,
    ! [X2,X39,X4] : c_lessequals(X39,c_Lattices_Oupper__semilattice__class_Osup(X4,X39,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox/tmp/tmp.U5KeOxGVAz/Vampire---4.8_17612',cls_Un__upper2_0) ).

fof(f767,plain,
    spl0_11,
    inference(avatar_contradiction_clause,[],[f766]) ).

fof(f766,plain,
    ( $false
    | spl0_11 ),
    inference(subsumption_resolution,[],[f765,f491]) ).

fof(f491,axiom,
    class_Lattices_Olattice(tc_bool),
    file('/export/starexec/sandbox/tmp/tmp.U5KeOxGVAz/Vampire---4.8_17612',clsarity_bool__Lattices_Olattice) ).

fof(f765,plain,
    ( ~ class_Lattices_Olattice(tc_bool)
    | spl0_11 ),
    inference(resolution,[],[f728,f474]) ).

fof(f474,axiom,
    ! [X99,X100] :
      ( class_Lattices_Oupper__semilattice(tc_fun(X99,X100))
      | ~ class_Lattices_Olattice(X100) ),
    file('/export/starexec/sandbox/tmp/tmp.U5KeOxGVAz/Vampire---4.8_17612',clsarity_fun__Lattices_Oupper__semilattice) ).

fof(f728,plain,
    ( ~ class_Lattices_Oupper__semilattice(tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | spl0_11 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f515,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f506,f512,f508]) ).

fof(f506,plain,
    ( ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_x,c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_x,c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
    inference(forward_demodulation,[],[f505,f442]) ).

fof(f442,axiom,
    ! [X2,X39,X4,X17] : c_Lattices_Oupper__semilattice__class_Osup(X4,c_Lattices_Oupper__semilattice__class_Osup(X39,X17,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X39,c_Lattices_Oupper__semilattice__class_Osup(X4,X17,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox/tmp/tmp.U5KeOxGVAz/Vampire---4.8_17612',cls_Un__left__commute_0) ).

fof(f505,plain,
    ( ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Lattices_Oupper__semilattice__class_Osup(v_x,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_x,c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
    inference(forward_demodulation,[],[f504,f459]) ).

fof(f504,plain,
    ( ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_x,c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
    inference(forward_demodulation,[],[f503,f442]) ).

fof(f503,plain,
    ( ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_x,c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
    inference(subsumption_resolution,[],[f502,f450]) ).

fof(f502,plain,
    ( ~ c_lessequals(v_x,c_Lattices_Oupper__semilattice__class_Osup(v_x,c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_x,c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
    inference(forward_demodulation,[],[f501,f442]) ).

fof(f501,plain,
    ( ~ c_lessequals(v_x,c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Lattices_Oupper__semilattice__class_Osup(v_x,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_x,c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
    inference(forward_demodulation,[],[f500,f459]) ).

fof(f500,plain,
    ( ~ c_lessequals(v_x,c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_x,c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
    inference(forward_demodulation,[],[f499,f442]) ).

fof(f499,plain,
    ( ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_x,c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_lessequals(v_x,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
    inference(forward_demodulation,[],[f498,f442]) ).

fof(f498,plain,
    ( ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Lattices_Oupper__semilattice__class_Osup(v_x,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_lessequals(v_x,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
    inference(forward_demodulation,[],[f497,f459]) ).

fof(f497,plain,
    ( ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_lessequals(v_x,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
    inference(forward_demodulation,[],[f473,f442]) ).

fof(f473,axiom,
    ( ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_lessequals(v_x,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
    file('/export/starexec/sandbox/tmp/tmp.U5KeOxGVAz/Vampire---4.8_17612',cls_conjecture_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.25  % Problem    : SWV926-1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.27  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.28/0.48  % Computer : n026.cluster.edu
% 0.28/0.48  % Model    : x86_64 x86_64
% 0.28/0.48  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.28/0.48  % Memory   : 8042.1875MB
% 0.28/0.48  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.28/0.48  % CPULimit   : 300
% 0.28/0.48  % WCLimit    : 300
% 0.28/0.48  % DateTime   : Tue Aug 29 04:34:50 EDT 2023
% 0.28/0.48  % CPUTime    : 
% 0.28/0.48  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.28/0.49  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.U5KeOxGVAz/Vampire---4.8_17612
% 0.28/0.49  % (17756)Running in auto input_syntax mode. Trying TPTP
% 0.34/0.61  % (17773)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.34/0.63  % (17758)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.34/0.63  % (17761)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.34/0.63  % (17769)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.34/0.63  % (17764)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.34/0.63  % (17768)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.34/0.64  % (17757)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.34/0.64  % (17773)First to succeed.
% 0.34/0.64  % (17773)Refutation found. Thanks to Tanya!
% 0.34/0.64  % SZS status Unsatisfiable for Vampire---4
% 0.34/0.64  % SZS output start Proof for Vampire---4
% See solution above
% 0.34/0.64  % (17773)------------------------------
% 0.34/0.64  % (17773)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.34/0.64  % (17773)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.34/0.64  % (17773)Termination reason: Refutation
% 0.34/0.64  
% 0.34/0.64  % (17773)Memory used [KB]: 7036
% 0.34/0.64  % (17773)Time elapsed: 0.025 s
% 0.34/0.64  % (17773)------------------------------
% 0.34/0.64  % (17773)------------------------------
% 0.34/0.64  % (17756)Success in time 0.148 s
% 0.34/0.64  % Vampire---4.8 exiting
%------------------------------------------------------------------------------