TSTP Solution File: SET143+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET143+3 : TPTP v8.1.2. Released v2.2.0.
% 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 : n018.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 15:38:15 EDT 2023

% Result   : Theorem 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   98 (  27 unt;   0 def)
%            Number of atoms       :  252 (  36 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  255 ( 101   ~; 115   |;  29   &)
%                                         (   6 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :  140 (; 128   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2841,plain,
    $false,
    inference(subsumption_resolution,[],[f2840,f2807]) ).

fof(f2807,plain,
    member(sK3(sF8,sF6),sK0),
    inference(resolution,[],[f2801,f125]) ).

fof(f125,plain,
    ! [X0] :
      ( ~ member(X0,sF6)
      | member(X0,sK0) ),
    inference(resolution,[],[f124,f35]) ).

fof(f35,plain,
    ! [X3,X0,X1] :
      ( ~ subset(X0,X1)
      | ~ member(X3,X0)
      | member(X3,X1) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ member(sK4(X0,X1),X1)
          & member(sK4(X0,X1),X0) ) )
      & ( ! [X3] :
            ( member(X3,X1)
            | ~ member(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f20,f21]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ member(X2,X1)
          & member(X2,X0) )
     => ( ~ member(sK4(X0,X1),X1)
        & member(sK4(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ member(X2,X1)
            & member(X2,X0) ) )
      & ( ! [X3] :
            ( member(X3,X1)
            | ~ member(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f19]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ member(X2,X1)
            & member(X2,X0) ) )
      & ( ! [X2] :
            ( member(X2,X1)
            | ~ member(X2,X0) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f10]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X1)
          | ~ member(X2,X0) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.DUDtUyScWm/Vampire---4.8_27638',subset_defn) ).

fof(f124,plain,
    subset(sF6,sK0),
    inference(duplicate_literal_removal,[],[f123]) ).

fof(f123,plain,
    ( subset(sF6,sK0)
    | subset(sF6,sK0) ),
    inference(resolution,[],[f88,f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ~ member(sK4(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f88,plain,
    ! [X1] :
      ( member(sK4(sF6,X1),sK0)
      | subset(sF6,X1) ),
    inference(resolution,[],[f67,f59]) ).

fof(f59,plain,
    ! [X6] :
      ( ~ member(X6,sF5)
      | member(X6,sK0) ),
    inference(superposition,[],[f38,f45]) ).

fof(f45,plain,
    intersection(sK0,sK1) = sF5,
    introduced(function_definition,[]) ).

fof(f38,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,intersection(X0,X1))
      | member(X2,X0) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0,X1,X2] :
      ( ( member(X2,intersection(X0,X1))
        | ~ member(X2,X1)
        | ~ member(X2,X0) )
      & ( ( member(X2,X1)
          & member(X2,X0) )
        | ~ member(X2,intersection(X0,X1)) ) ),
    inference(flattening,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1,X2] :
      ( ( member(X2,intersection(X0,X1))
        | ~ member(X2,X1)
        | ~ member(X2,X0) )
      & ( ( member(X2,X1)
          & member(X2,X0) )
        | ~ member(X2,intersection(X0,X1)) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1,X2] :
      ( member(X2,intersection(X0,X1))
    <=> ( member(X2,X1)
        & member(X2,X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.DUDtUyScWm/Vampire---4.8_27638',intersection_defn) ).

fof(f67,plain,
    ! [X0] :
      ( member(sK4(sF6,X0),sF5)
      | subset(sF6,X0) ),
    inference(resolution,[],[f63,f36]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( member(sK4(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f63,plain,
    ! [X10] :
      ( ~ member(X10,sF6)
      | member(X10,sF5) ),
    inference(superposition,[],[f38,f46]) ).

fof(f46,plain,
    intersection(sF5,sK2) = sF6,
    introduced(function_definition,[]) ).

fof(f2801,plain,
    member(sK3(sF8,sF6),sF6),
    inference(subsumption_resolution,[],[f2799,f49]) ).

fof(f49,plain,
    sF6 != sF8,
    inference(definition_folding,[],[f25,f48,f47,f46,f45]) ).

fof(f47,plain,
    intersection(sK1,sK2) = sF7,
    introduced(function_definition,[]) ).

fof(f48,plain,
    intersection(sK0,sF7) = sF8,
    introduced(function_definition,[]) ).

fof(f25,plain,
    intersection(intersection(sK0,sK1),sK2) != intersection(sK0,intersection(sK1,sK2)),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,plain,
    intersection(intersection(sK0,sK1),sK2) != intersection(sK0,intersection(sK1,sK2)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f9,f11]) ).

fof(f11,plain,
    ( ? [X0,X1,X2] : intersection(intersection(X0,X1),X2) != intersection(X0,intersection(X1,X2))
   => intersection(intersection(sK0,sK1),sK2) != intersection(sK0,intersection(sK1,sK2)) ),
    introduced(choice_axiom,[]) ).

fof(f9,plain,
    ? [X0,X1,X2] : intersection(intersection(X0,X1),X2) != intersection(X0,intersection(X1,X2)),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,negated_conjecture,
    ~ ! [X0,X1,X2] : intersection(intersection(X0,X1),X2) = intersection(X0,intersection(X1,X2)),
    inference(negated_conjecture,[],[f7]) ).

fof(f7,conjecture,
    ! [X0,X1,X2] : intersection(intersection(X0,X1),X2) = intersection(X0,intersection(X1,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.DUDtUyScWm/Vampire---4.8_27638',prove_associativity_of_intersection) ).

fof(f2799,plain,
    ( member(sK3(sF8,sF6),sF6)
    | sF6 = sF8 ),
    inference(superposition,[],[f1464,f2747]) ).

fof(f2747,plain,
    sF8 = intersection(sF6,sF8),
    inference(resolution,[],[f2742,f195]) ).

fof(f195,plain,
    ! [X3,X4] :
      ( ~ subset(X3,intersection(X4,X3))
      | intersection(X4,X3) = X3 ),
    inference(resolution,[],[f187,f30]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | ~ subset(X1,X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ subset(X1,X0)
        | ~ subset(X0,X1) )
      & ( ( subset(X1,X0)
          & subset(X0,X1) )
        | X0 != X1 ) ),
    inference(flattening,[],[f13]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ subset(X1,X0)
        | ~ subset(X0,X1) )
      & ( ( subset(X1,X0)
          & subset(X0,X1) )
        | X0 != X1 ) ),
    inference(nnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( X0 = X1
    <=> ( subset(X1,X0)
        & subset(X0,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.DUDtUyScWm/Vampire---4.8_27638',equal_defn) ).

fof(f187,plain,
    ! [X0,X1] : subset(intersection(X1,X0),X0),
    inference(superposition,[],[f184,f27]) ).

fof(f27,plain,
    ! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
    file('/export/starexec/sandbox2/tmp/tmp.DUDtUyScWm/Vampire---4.8_27638',commutativity_of_intersection) ).

fof(f184,plain,
    ! [X0,X1] : subset(intersection(X0,X1),X0),
    inference(duplicate_literal_removal,[],[f160]) ).

fof(f160,plain,
    ! [X0,X1] :
      ( subset(intersection(X0,X1),X0)
      | subset(intersection(X0,X1),X0) ),
    inference(resolution,[],[f56,f37]) ).

fof(f56,plain,
    ! [X2,X0,X1] :
      ( member(sK4(intersection(X0,X1),X2),X0)
      | subset(intersection(X0,X1),X2) ),
    inference(resolution,[],[f38,f36]) ).

fof(f2742,plain,
    subset(sF8,intersection(sF6,sF8)),
    inference(duplicate_literal_removal,[],[f2735]) ).

fof(f2735,plain,
    ( subset(sF8,intersection(sF6,sF8))
    | subset(sF8,intersection(sF6,sF8)) ),
    inference(resolution,[],[f2677,f502]) ).

fof(f502,plain,
    ! [X0,X1] :
      ( ~ member(sK4(X0,intersection(X1,X0)),X1)
      | subset(X0,intersection(X1,X0)) ),
    inference(duplicate_literal_removal,[],[f452]) ).

fof(f452,plain,
    ! [X0,X1] :
      ( ~ member(sK4(X0,intersection(X1,X0)),X1)
      | subset(X0,intersection(X1,X0))
      | subset(X0,intersection(X1,X0)) ),
    inference(resolution,[],[f138,f36]) ).

fof(f138,plain,
    ! [X2,X0,X1] :
      ( ~ member(sK4(X0,intersection(X1,X2)),X2)
      | ~ member(sK4(X0,intersection(X1,X2)),X1)
      | subset(X0,intersection(X1,X2)) ),
    inference(resolution,[],[f40,f37]) ).

fof(f40,plain,
    ! [X2,X0,X1] :
      ( member(X2,intersection(X0,X1))
      | ~ member(X2,X1)
      | ~ member(X2,X0) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f2677,plain,
    ! [X1] :
      ( member(sK4(sF8,X1),sF6)
      | subset(sF8,X1) ),
    inference(subsumption_resolution,[],[f2671,f93]) ).

fof(f93,plain,
    ! [X0] :
      ( member(sK4(sF8,X0),sK2)
      | subset(sF8,X0) ),
    inference(resolution,[],[f78,f74]) ).

fof(f74,plain,
    ! [X8] :
      ( ~ member(X8,sF7)
      | member(X8,sK2) ),
    inference(superposition,[],[f39,f47]) ).

fof(f39,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,intersection(X0,X1))
      | member(X2,X1) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f78,plain,
    ! [X0] :
      ( member(sK4(sF8,X0),sF7)
      | subset(sF8,X0) ),
    inference(resolution,[],[f73,f36]) ).

fof(f73,plain,
    ! [X7] :
      ( ~ member(X7,sF8)
      | member(X7,sF7) ),
    inference(superposition,[],[f39,f48]) ).

fof(f2671,plain,
    ! [X1] :
      ( subset(sF8,X1)
      | member(sK4(sF8,X1),sF6)
      | ~ member(sK4(sF8,X1),sK2) ),
    inference(resolution,[],[f2602,f146]) ).

fof(f146,plain,
    ! [X9] :
      ( ~ member(X9,sF5)
      | member(X9,sF6)
      | ~ member(X9,sK2) ),
    inference(superposition,[],[f40,f50]) ).

fof(f50,plain,
    sF6 = intersection(sK2,sF5),
    inference(superposition,[],[f27,f46]) ).

fof(f2602,plain,
    ! [X0] :
      ( member(sK4(sF8,X0),sF5)
      | subset(sF8,X0) ),
    inference(resolution,[],[f2586,f36]) ).

fof(f2586,plain,
    ! [X0] :
      ( ~ member(X0,sF8)
      | member(X0,sF5) ),
    inference(resolution,[],[f2583,f35]) ).

fof(f2583,plain,
    subset(sF8,sF5),
    inference(subsumption_resolution,[],[f2581,f94]) ).

fof(f94,plain,
    ! [X1] :
      ( member(sK4(sF8,X1),sK1)
      | subset(sF8,X1) ),
    inference(resolution,[],[f78,f61]) ).

fof(f61,plain,
    ! [X8] :
      ( ~ member(X8,sF7)
      | member(X8,sK1) ),
    inference(superposition,[],[f38,f47]) ).

fof(f2581,plain,
    ( ~ member(sK4(sF8,sF5),sK1)
    | subset(sF8,sF5) ),
    inference(duplicate_literal_removal,[],[f2564]) ).

fof(f2564,plain,
    ( ~ member(sK4(sF8,sF5),sK1)
    | subset(sF8,sF5)
    | subset(sF8,sF5) ),
    inference(resolution,[],[f148,f65]) ).

fof(f65,plain,
    ! [X0] :
      ( member(sK4(sF8,X0),sK0)
      | subset(sF8,X0) ),
    inference(resolution,[],[f60,f36]) ).

fof(f60,plain,
    ! [X7] :
      ( ~ member(X7,sF8)
      | member(X7,sK0) ),
    inference(superposition,[],[f38,f48]) ).

fof(f148,plain,
    ! [X0] :
      ( ~ member(sK4(X0,sF5),sK0)
      | ~ member(sK4(X0,sF5),sK1)
      | subset(X0,sF5) ),
    inference(resolution,[],[f143,f37]) ).

fof(f143,plain,
    ! [X6] :
      ( member(X6,sF5)
      | ~ member(X6,sK1)
      | ~ member(X6,sK0) ),
    inference(superposition,[],[f40,f45]) ).

fof(f1464,plain,
    ! [X0,X1] :
      ( member(sK3(intersection(X0,X1),X0),X0)
      | intersection(X0,X1) = X0 ),
    inference(factoring,[],[f274]) ).

fof(f274,plain,
    ! [X3,X4,X5] :
      ( member(sK3(intersection(X3,X4),X5),X5)
      | member(sK3(intersection(X3,X4),X5),X3)
      | intersection(X3,X4) = X5 ),
    inference(resolution,[],[f33,f38]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( member(sK3(X0,X1),X1)
      | member(sK3(X0,X1),X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ( ( ~ member(sK3(X0,X1),X1)
            | ~ member(sK3(X0,X1),X0) )
          & ( member(sK3(X0,X1),X1)
            | member(sK3(X0,X1),X0) ) ) )
      & ( ! [X3] :
            ( ( member(X3,X0)
              | ~ member(X3,X1) )
            & ( member(X3,X1)
              | ~ member(X3,X0) ) )
        | X0 != X1 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f16,f17]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ~ member(X2,X1)
            | ~ member(X2,X0) )
          & ( member(X2,X1)
            | member(X2,X0) ) )
     => ( ( ~ member(sK3(X0,X1),X1)
          | ~ member(sK3(X0,X1),X0) )
        & ( member(sK3(X0,X1),X1)
          | member(sK3(X0,X1),X0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ? [X2] :
            ( ( ~ member(X2,X1)
              | ~ member(X2,X0) )
            & ( member(X2,X1)
              | member(X2,X0) ) ) )
      & ( ! [X3] :
            ( ( member(X3,X0)
              | ~ member(X3,X1) )
            & ( member(X3,X1)
              | ~ member(X3,X0) ) )
        | X0 != X1 ) ),
    inference(rectify,[],[f15]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ? [X2] :
            ( ( ~ member(X2,X1)
              | ~ member(X2,X0) )
            & ( member(X2,X1)
              | member(X2,X0) ) ) )
      & ( ! [X2] :
            ( ( member(X2,X0)
              | ~ member(X2,X1) )
            & ( member(X2,X1)
              | ~ member(X2,X0) ) )
        | X0 != X1 ) ),
    inference(nnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( X0 = X1
    <=> ! [X2] :
          ( member(X2,X0)
        <=> member(X2,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.DUDtUyScWm/Vampire---4.8_27638',equal_member_defn) ).

fof(f2840,plain,
    ~ member(sK3(sF8,sF6),sK0),
    inference(subsumption_resolution,[],[f2839,f2809]) ).

fof(f2809,plain,
    member(sK3(sF8,sF6),sK2),
    inference(resolution,[],[f2801,f62]) ).

fof(f62,plain,
    ! [X9] :
      ( ~ member(X9,sF6)
      | member(X9,sK2) ),
    inference(superposition,[],[f38,f50]) ).

fof(f2839,plain,
    ( ~ member(sK3(sF8,sF6),sK2)
    | ~ member(sK3(sF8,sF6),sK0) ),
    inference(subsumption_resolution,[],[f2838,f2808]) ).

fof(f2808,plain,
    member(sK3(sF8,sF6),sK1),
    inference(resolution,[],[f2801,f120]) ).

fof(f120,plain,
    ! [X0] :
      ( ~ member(X0,sF6)
      | member(X0,sK1) ),
    inference(resolution,[],[f110,f35]) ).

fof(f110,plain,
    subset(sF6,sK1),
    inference(duplicate_literal_removal,[],[f109]) ).

fof(f109,plain,
    ( subset(sF6,sK1)
    | subset(sF6,sK1) ),
    inference(resolution,[],[f87,f37]) ).

fof(f87,plain,
    ! [X0] :
      ( member(sK4(sF6,X0),sK1)
      | subset(sF6,X0) ),
    inference(resolution,[],[f67,f72]) ).

fof(f72,plain,
    ! [X6] :
      ( ~ member(X6,sF5)
      | member(X6,sK1) ),
    inference(superposition,[],[f39,f45]) ).

fof(f2838,plain,
    ( ~ member(sK3(sF8,sF6),sK1)
    | ~ member(sK3(sF8,sF6),sK2)
    | ~ member(sK3(sF8,sF6),sK0) ),
    inference(resolution,[],[f2811,f154]) ).

fof(f154,plain,
    ! [X1] :
      ( member(X1,sF8)
      | ~ member(X1,sK1)
      | ~ member(X1,sK2)
      | ~ member(X1,sK0) ),
    inference(resolution,[],[f145,f144]) ).

fof(f144,plain,
    ! [X7] :
      ( ~ member(X7,sF7)
      | member(X7,sF8)
      | ~ member(X7,sK0) ),
    inference(superposition,[],[f40,f48]) ).

fof(f145,plain,
    ! [X8] :
      ( member(X8,sF7)
      | ~ member(X8,sK2)
      | ~ member(X8,sK1) ),
    inference(superposition,[],[f40,f47]) ).

fof(f2811,plain,
    ~ member(sK3(sF8,sF6),sF8),
    inference(subsumption_resolution,[],[f2806,f49]) ).

fof(f2806,plain,
    ( sF6 = sF8
    | ~ member(sK3(sF8,sF6),sF8) ),
    inference(resolution,[],[f2801,f34]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ~ member(sK3(X0,X1),X1)
      | X0 = X1
      | ~ member(sK3(X0,X1),X0) ),
    inference(cnf_transformation,[],[f18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SET143+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.36  % Computer : n018.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit   : 300
% 0.13/0.36  % WCLimit    : 300
% 0.13/0.36  % DateTime   : Sat Aug 26 15:06:30 EDT 2023
% 0.13/0.36  % CPUTime    : 
% 0.13/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.13/0.36  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.DUDtUyScWm/Vampire---4.8_27638
% 0.20/0.37  % (27797)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42  % (27802)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.20/0.42  % (27803)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.20/0.42  % (27804)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 0.20/0.42  % (27800)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.20/0.42  % (27799)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.20/0.42  % (27802)Refutation not found, incomplete strategy% (27802)------------------------------
% 0.20/0.42  % (27802)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.42  % (27802)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.42  % (27802)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.42  
% 0.20/0.42  % (27802)Memory used [KB]: 895
% 0.20/0.42  % (27802)Time elapsed: 0.003 s
% 0.20/0.42  % (27802)------------------------------
% 0.20/0.42  % (27802)------------------------------
% 0.20/0.42  % (27801)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.20/0.43  % (27798)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.20/0.52  % (27804)First to succeed.
% 0.20/0.52  % (27805)ott+4_40_av=off:bce=on:fsd=off:fde=unused:nm=4:nwc=1.1:sos=all:sp=frequency_375 on Vampire---4 for (375ds/0Mi)
% 0.20/0.52  % (27804)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Theorem for Vampire---4
% 0.20/0.52  % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.52  % (27804)------------------------------
% 0.20/0.52  % (27804)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.52  % (27804)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.52  % (27804)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (27804)Memory used [KB]: 3582
% 0.20/0.52  % (27804)Time elapsed: 0.099 s
% 0.20/0.52  % (27804)------------------------------
% 0.20/0.52  % (27804)------------------------------
% 0.20/0.52  % (27797)Success in time 0.153 s
% 0.20/0.52  % Vampire---4.8 exiting
%------------------------------------------------------------------------------