TSTP Solution File: SET018+4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET018+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n007.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 09:02:54 EDT 2024

% Result   : Theorem 0.58s 0.77s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   96 (  12 unt;   0 def)
%            Number of atoms       :  248 (  69 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  267 ( 115   ~; 112   |;  20   &)
%                                         (  13 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   7 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   96 (  85   !;  11   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f520,plain,
    $false,
    inference(avatar_sat_refutation,[],[f159,f169,f170,f233,f246,f332,f408,f473,f507]) ).

fof(f507,plain,
    ( ~ spl7_1
    | spl7_2 ),
    inference(avatar_contradiction_clause,[],[f506]) ).

fof(f506,plain,
    ( $false
    | ~ spl7_1
    | spl7_2 ),
    inference(trivial_inequality_removal,[],[f504]) ).

fof(f504,plain,
    ( singleton(sK3) != singleton(sK3)
    | ~ spl7_1
    | spl7_2 ),
    inference(superposition,[],[f157,f492]) ).

fof(f492,plain,
    ( sK3 = sK5
    | ~ spl7_1 ),
    inference(resolution,[],[f485,f70]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( ~ member(X0,singleton(X1))
      | X0 = X1 ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( ( member(X0,singleton(X1))
        | X0 != X1 )
      & ( X0 = X1
        | ~ member(X0,singleton(X1)) ) ),
    inference(nnf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( member(X0,singleton(X1))
    <=> X0 = X1 ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X2,X0] :
      ( member(X2,singleton(X0))
    <=> X0 = X2 ),
    file('/export/starexec/sandbox/tmp/tmp.pW1KuX9orS/Vampire---4.8_975',singleton) ).

fof(f485,plain,
    ( member(sK5,singleton(sK3))
    | ~ spl7_1 ),
    inference(superposition,[],[f85,f154]) ).

fof(f154,plain,
    ( singleton(sK3) = unordered_pair(sK5,sK6)
    | ~ spl7_1 ),
    inference(avatar_component_clause,[],[f152]) ).

fof(f152,plain,
    ( spl7_1
  <=> singleton(sK3) = unordered_pair(sK5,sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).

fof(f85,plain,
    ! [X2,X1] : member(X1,unordered_pair(X1,X2)),
    inference(equality_resolution,[],[f73]) ).

fof(f73,plain,
    ! [X2,X0,X1] :
      ( member(X0,unordered_pair(X1,X2))
      | X0 != X1 ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,unordered_pair(X1,X2))
        | ( X0 != X2
          & X0 != X1 ) )
      & ( X0 = X2
        | X0 = X1
        | ~ member(X0,unordered_pair(X1,X2)) ) ),
    inference(flattening,[],[f41]) ).

fof(f41,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,unordered_pair(X1,X2))
        | ( X0 != X2
          & X0 != X1 ) )
      & ( X0 = X2
        | X0 = X1
        | ~ member(X0,unordered_pair(X1,X2)) ) ),
    inference(nnf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0,X1,X2] :
      ( member(X0,unordered_pair(X1,X2))
    <=> ( X0 = X2
        | X0 = X1 ) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X2,X0,X1] :
      ( member(X2,unordered_pair(X0,X1))
    <=> ( X1 = X2
        | X0 = X2 ) ),
    file('/export/starexec/sandbox/tmp/tmp.pW1KuX9orS/Vampire---4.8_975',unordered_pair) ).

fof(f157,plain,
    ( singleton(sK3) != singleton(sK5)
    | spl7_2 ),
    inference(avatar_component_clause,[],[f156]) ).

fof(f156,plain,
    ( spl7_2
  <=> singleton(sK3) = singleton(sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).

fof(f473,plain,
    ( spl7_6
    | ~ spl7_1
    | ~ spl7_2 ),
    inference(avatar_split_clause,[],[f469,f156,f152,f230]) ).

fof(f230,plain,
    ( spl7_6
  <=> sK3 = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_6])]) ).

fof(f469,plain,
    ( sK3 = sK6
    | ~ spl7_1
    | ~ spl7_2 ),
    inference(resolution,[],[f467,f70]) ).

fof(f467,plain,
    ( member(sK6,singleton(sK3))
    | ~ spl7_1
    | ~ spl7_2 ),
    inference(superposition,[],[f84,f453]) ).

fof(f453,plain,
    ( singleton(sK3) = unordered_pair(sK3,sK6)
    | ~ spl7_1
    | ~ spl7_2 ),
    inference(forward_demodulation,[],[f154,f189]) ).

fof(f189,plain,
    ( sK3 = sK5
    | ~ spl7_2 ),
    inference(resolution,[],[f183,f70]) ).

fof(f183,plain,
    ( member(sK5,singleton(sK3))
    | ~ spl7_2 ),
    inference(superposition,[],[f83,f158]) ).

fof(f158,plain,
    ( singleton(sK3) = singleton(sK5)
    | ~ spl7_2 ),
    inference(avatar_component_clause,[],[f156]) ).

fof(f83,plain,
    ! [X1] : member(X1,singleton(X1)),
    inference(equality_resolution,[],[f71]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( member(X0,singleton(X1))
      | X0 != X1 ),
    inference(cnf_transformation,[],[f40]) ).

fof(f84,plain,
    ! [X2,X1] : member(X2,unordered_pair(X1,X2)),
    inference(equality_resolution,[],[f74]) ).

fof(f74,plain,
    ! [X2,X0,X1] :
      ( member(X0,unordered_pair(X1,X2))
      | X0 != X2 ),
    inference(cnf_transformation,[],[f42]) ).

fof(f408,plain,
    ( ~ spl7_2
    | ~ spl7_3
    | ~ spl7_6 ),
    inference(avatar_contradiction_clause,[],[f407]) ).

fof(f407,plain,
    ( $false
    | ~ spl7_2
    | ~ spl7_3
    | ~ spl7_6 ),
    inference(trivial_inequality_removal,[],[f404]) ).

fof(f404,plain,
    ( sK3 != sK3
    | ~ spl7_2
    | ~ spl7_3
    | ~ spl7_6 ),
    inference(superposition,[],[f256,f395]) ).

fof(f395,plain,
    ( sK3 = sK4
    | ~ spl7_2
    | ~ spl7_3 ),
    inference(forward_demodulation,[],[f392,f189]) ).

fof(f392,plain,
    ( sK4 = sK5
    | ~ spl7_2
    | ~ spl7_3 ),
    inference(resolution,[],[f374,f182]) ).

fof(f182,plain,
    ( ! [X0] :
        ( ~ member(X0,singleton(sK3))
        | sK5 = X0 )
    | ~ spl7_2 ),
    inference(superposition,[],[f70,f158]) ).

fof(f374,plain,
    ( member(sK4,singleton(sK3))
    | ~ spl7_2
    | ~ spl7_3 ),
    inference(superposition,[],[f84,f359]) ).

fof(f359,plain,
    ( singleton(sK3) = unordered_pair(sK3,sK4)
    | ~ spl7_2
    | ~ spl7_3 ),
    inference(forward_demodulation,[],[f163,f158]) ).

fof(f163,plain,
    ( unordered_pair(sK3,sK4) = singleton(sK5)
    | ~ spl7_3 ),
    inference(avatar_component_clause,[],[f161]) ).

fof(f161,plain,
    ( spl7_3
  <=> unordered_pair(sK3,sK4) = singleton(sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).

fof(f256,plain,
    ( sK3 != sK4
    | ~ spl7_6 ),
    inference(superposition,[],[f82,f232]) ).

fof(f232,plain,
    ( sK3 = sK6
    | ~ spl7_6 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f82,plain,
    sK4 != sK6,
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ( sK4 != sK6
    & equal_set(unordered_pair(singleton(sK3),unordered_pair(sK3,sK4)),unordered_pair(singleton(sK5),unordered_pair(sK5,sK6))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6])],[f28,f51]) ).

fof(f51,plain,
    ( ? [X0,X1,X2,X3] :
        ( X1 != X3
        & equal_set(unordered_pair(singleton(X0),unordered_pair(X0,X1)),unordered_pair(singleton(X2),unordered_pair(X2,X3))) )
   => ( sK4 != sK6
      & equal_set(unordered_pair(singleton(sK3),unordered_pair(sK3,sK4)),unordered_pair(singleton(sK5),unordered_pair(sK5,sK6))) ) ),
    introduced(choice_axiom,[]) ).

fof(f28,plain,
    ? [X0,X1,X2,X3] :
      ( X1 != X3
      & equal_set(unordered_pair(singleton(X0),unordered_pair(X0,X1)),unordered_pair(singleton(X2),unordered_pair(X2,X3))) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,plain,
    ~ ! [X0,X1,X2,X3] :
        ( equal_set(unordered_pair(singleton(X0),unordered_pair(X0,X1)),unordered_pair(singleton(X2),unordered_pair(X2,X3)))
       => X1 = X3 ),
    inference(rectify,[],[f13]) ).

fof(f13,negated_conjecture,
    ~ ! [X0,X1,X5,X6] :
        ( equal_set(unordered_pair(singleton(X0),unordered_pair(X0,X1)),unordered_pair(singleton(X5),unordered_pair(X5,X6)))
       => X1 = X6 ),
    inference(negated_conjecture,[],[f12]) ).

fof(f12,conjecture,
    ! [X0,X1,X5,X6] :
      ( equal_set(unordered_pair(singleton(X0),unordered_pair(X0,X1)),unordered_pair(singleton(X5),unordered_pair(X5,X6)))
     => X1 = X6 ),
    file('/export/starexec/sandbox/tmp/tmp.pW1KuX9orS/Vampire---4.8_975',thI50b) ).

fof(f332,plain,
    ( ~ spl7_2
    | ~ spl7_4
    | ~ spl7_6 ),
    inference(avatar_contradiction_clause,[],[f331]) ).

fof(f331,plain,
    ( $false
    | ~ spl7_2
    | ~ spl7_4
    | ~ spl7_6 ),
    inference(trivial_inequality_removal,[],[f329]) ).

fof(f329,plain,
    ( sK3 != sK3
    | ~ spl7_2
    | ~ spl7_4
    | ~ spl7_6 ),
    inference(superposition,[],[f256,f319]) ).

fof(f319,plain,
    ( sK3 = sK4
    | ~ spl7_2
    | ~ spl7_4
    | ~ spl7_6 ),
    inference(duplicate_literal_removal,[],[f317]) ).

fof(f317,plain,
    ( sK3 = sK4
    | sK3 = sK4
    | ~ spl7_2
    | ~ spl7_4
    | ~ spl7_6 ),
    inference(resolution,[],[f300,f72]) ).

fof(f72,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,unordered_pair(X1,X2))
      | X0 = X1
      | X0 = X2 ),
    inference(cnf_transformation,[],[f42]) ).

fof(f300,plain,
    ( member(sK4,unordered_pair(sK3,sK3))
    | ~ spl7_2
    | ~ spl7_4
    | ~ spl7_6 ),
    inference(superposition,[],[f84,f274]) ).

fof(f274,plain,
    ( unordered_pair(sK3,sK4) = unordered_pair(sK3,sK3)
    | ~ spl7_2
    | ~ spl7_4
    | ~ spl7_6 ),
    inference(forward_demodulation,[],[f264,f189]) ).

fof(f264,plain,
    ( unordered_pair(sK3,sK4) = unordered_pair(sK5,sK3)
    | ~ spl7_4
    | ~ spl7_6 ),
    inference(superposition,[],[f168,f232]) ).

fof(f168,plain,
    ( unordered_pair(sK3,sK4) = unordered_pair(sK5,sK6)
    | ~ spl7_4 ),
    inference(avatar_component_clause,[],[f166]) ).

fof(f166,plain,
    ( spl7_4
  <=> unordered_pair(sK3,sK4) = unordered_pair(sK5,sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).

fof(f246,plain,
    ~ spl7_5,
    inference(avatar_contradiction_clause,[],[f245]) ).

fof(f245,plain,
    ( $false
    | ~ spl7_5 ),
    inference(trivial_inequality_removal,[],[f235]) ).

fof(f235,plain,
    ( sK4 != sK4
    | ~ spl7_5 ),
    inference(superposition,[],[f82,f228]) ).

fof(f228,plain,
    ( sK4 = sK6
    | ~ spl7_5 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f226,plain,
    ( spl7_5
  <=> sK4 = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_5])]) ).

fof(f233,plain,
    ( spl7_5
    | spl7_6
    | ~ spl7_4 ),
    inference(avatar_split_clause,[],[f223,f166,f230,f226]) ).

fof(f223,plain,
    ( sK3 = sK6
    | sK4 = sK6
    | ~ spl7_4 ),
    inference(resolution,[],[f214,f72]) ).

fof(f214,plain,
    ( member(sK6,unordered_pair(sK3,sK4))
    | ~ spl7_4 ),
    inference(superposition,[],[f84,f168]) ).

fof(f170,plain,
    ( spl7_4
    | spl7_1 ),
    inference(avatar_split_clause,[],[f149,f152,f166]) ).

fof(f149,plain,
    ( singleton(sK3) = unordered_pair(sK5,sK6)
    | unordered_pair(sK3,sK4) = unordered_pair(sK5,sK6) ),
    inference(resolution,[],[f72,f111]) ).

fof(f111,plain,
    member(unordered_pair(sK5,sK6),unordered_pair(singleton(sK3),unordered_pair(sK3,sK4))),
    inference(resolution,[],[f106,f87]) ).

fof(f87,plain,
    subset(unordered_pair(singleton(sK5),unordered_pair(sK5,sK6)),unordered_pair(singleton(sK3),unordered_pair(sK3,sK4))),
    inference(resolution,[],[f57,f81]) ).

fof(f81,plain,
    equal_set(unordered_pair(singleton(sK3),unordered_pair(sK3,sK4)),unordered_pair(singleton(sK5),unordered_pair(sK5,sK6))),
    inference(cnf_transformation,[],[f52]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( ~ equal_set(X0,X1)
      | subset(X1,X0) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ( subset(X1,X0)
        & subset(X0,X1) )
      | ~ equal_set(X0,X1) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( equal_set(X0,X1)
     => ( subset(X1,X0)
        & subset(X0,X1) ) ),
    inference(unused_predicate_definition_removal,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( equal_set(X0,X1)
    <=> ( subset(X1,X0)
        & subset(X0,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.pW1KuX9orS/Vampire---4.8_975',equal_set) ).

fof(f106,plain,
    ! [X2,X0,X1] :
      ( ~ subset(unordered_pair(X2,X0),X1)
      | member(X0,X1) ),
    inference(resolution,[],[f53,f84]) ).

fof(f53,plain,
    ! [X3,X0,X1] :
      ( ~ member(X3,X0)
      | member(X3,X1)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ member(sK0(X0,X1),X1)
          & member(sK0(X0,X1),X0) ) )
      & ( ! [X3] :
            ( member(X3,X1)
            | ~ member(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f30,f31]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ member(X2,X1)
          & member(X2,X0) )
     => ( ~ member(sK0(X0,X1),X1)
        & member(sK0(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f30,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,[],[f29]) ).

fof(f29,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,[],[f25]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X1)
          | ~ member(X2,X0) ) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.pW1KuX9orS/Vampire---4.8_975',subset) ).

fof(f169,plain,
    ( spl7_4
    | spl7_3 ),
    inference(avatar_split_clause,[],[f148,f161,f166]) ).

fof(f148,plain,
    ( unordered_pair(sK3,sK4) = singleton(sK5)
    | unordered_pair(sK3,sK4) = unordered_pair(sK5,sK6) ),
    inference(resolution,[],[f72,f110]) ).

fof(f110,plain,
    member(unordered_pair(sK3,sK4),unordered_pair(singleton(sK5),unordered_pair(sK5,sK6))),
    inference(resolution,[],[f106,f86]) ).

fof(f86,plain,
    subset(unordered_pair(singleton(sK3),unordered_pair(sK3,sK4)),unordered_pair(singleton(sK5),unordered_pair(sK5,sK6))),
    inference(resolution,[],[f56,f81]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( ~ equal_set(X0,X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f159,plain,
    ( spl7_1
    | spl7_2 ),
    inference(avatar_split_clause,[],[f146,f156,f152]) ).

fof(f146,plain,
    ( singleton(sK3) = singleton(sK5)
    | singleton(sK3) = unordered_pair(sK5,sK6) ),
    inference(resolution,[],[f72,f119]) ).

fof(f119,plain,
    member(singleton(sK3),unordered_pair(singleton(sK5),unordered_pair(sK5,sK6))),
    inference(resolution,[],[f107,f86]) ).

fof(f107,plain,
    ! [X2,X0,X1] :
      ( ~ subset(unordered_pair(X0,X2),X1)
      | member(X0,X1) ),
    inference(resolution,[],[f53,f85]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SET018+4 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.36  % Computer : n007.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   : Fri May  3 16:55:08 EDT 2024
% 0.13/0.36  % CPUTime    : 
% 0.13/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.13/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.pW1KuX9orS/Vampire---4.8_975
% 0.56/0.76  % (1110)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.76  % (1113)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.56/0.76  % (1114)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.76  % (1112)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.76  % (1116)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.56/0.76  % (1115)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.56/0.76  % (1111)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.56/0.76  % (1117)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.58/0.76  % (1110)Refutation not found, incomplete strategy% (1110)------------------------------
% 0.58/0.76  % (1110)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (1110)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (1110)Memory used [KB]: 978
% 0.58/0.76  % (1110)Time elapsed: 0.002 s
% 0.58/0.76  % (1110)Instructions burned: 2 (million)
% 0.58/0.76  % (1115)Refutation not found, incomplete strategy% (1115)------------------------------
% 0.58/0.76  % (1115)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (1115)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (1115)Memory used [KB]: 966
% 0.58/0.76  % (1115)Time elapsed: 0.003 s
% 0.58/0.76  % (1115)Instructions burned: 2 (million)
% 0.58/0.76  % (1113)Refutation not found, incomplete strategy% (1113)------------------------------
% 0.58/0.76  % (1113)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (1113)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (1113)Memory used [KB]: 980
% 0.58/0.76  % (1113)Time elapsed: 0.003 s
% 0.58/0.76  % (1113)Instructions burned: 3 (million)
% 0.58/0.76  % (1110)------------------------------
% 0.58/0.76  % (1110)------------------------------
% 0.58/0.76  % (1117)Refutation not found, incomplete strategy% (1117)------------------------------
% 0.58/0.76  % (1117)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (1117)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (1117)Memory used [KB]: 980
% 0.58/0.76  % (1117)Time elapsed: 0.003 s
% 0.58/0.76  % (1117)Instructions burned: 2 (million)
% 0.58/0.76  % (1113)------------------------------
% 0.58/0.76  % (1113)------------------------------
% 0.58/0.76  % (1115)------------------------------
% 0.58/0.76  % (1115)------------------------------
% 0.58/0.76  % (1117)------------------------------
% 0.58/0.76  % (1117)------------------------------
% 0.58/0.77  % (1121)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.58/0.77  % (1118)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.58/0.77  % (1120)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.58/0.77  % (1119)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.58/0.77  % (1118)Refutation not found, incomplete strategy% (1118)------------------------------
% 0.58/0.77  % (1118)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77  % (1118)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.77  
% 0.58/0.77  % (1120)Refutation not found, incomplete strategy% (1120)------------------------------
% 0.58/0.77  % (1120)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77  % (1120)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.77  
% 0.58/0.77  % (1120)Memory used [KB]: 963
% 0.58/0.77  % (1120)Time elapsed: 0.002 s
% 0.58/0.77  % (1120)Instructions burned: 2 (million)
% 0.58/0.77  % (1118)Memory used [KB]: 966
% 0.58/0.77  % (1118)Time elapsed: 0.002 s
% 0.58/0.77  % (1118)Instructions burned: 2 (million)
% 0.58/0.77  % (1118)------------------------------
% 0.58/0.77  % (1118)------------------------------
% 0.58/0.77  % (1120)------------------------------
% 0.58/0.77  % (1120)------------------------------
% 0.58/0.77  % (1116)Also succeeded, but the first one will report.
% 0.58/0.77  % (1111)First to succeed.
% 0.58/0.77  % (1111)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1109"
% 0.58/0.77  % (1123)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.58/0.77  % (1124)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.58/0.77  % (1111)Refutation found. Thanks to Tanya!
% 0.58/0.77  % SZS status Theorem for Vampire---4
% 0.58/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.77  % (1111)------------------------------
% 0.58/0.77  % (1111)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77  % (1111)Termination reason: Refutation
% 0.58/0.77  
% 0.58/0.77  % (1111)Memory used [KB]: 1125
% 0.58/0.77  % (1111)Time elapsed: 0.011 s
% 0.58/0.77  % (1111)Instructions burned: 16 (million)
% 0.58/0.77  % (1109)Success in time 0.408 s
% 0.58/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------