TSTP Solution File: SEU187+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU187+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n014.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 : Wed May  1 03:50:33 EDT 2024

% Result   : Theorem 0.60s 0.79s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   66 (  10 unt;   0 def)
%            Number of atoms       :  230 (  49 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  260 (  96   ~; 111   |;  30   &)
%                                         (  11 <=>;  11  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   1 con; 0-2 aty)
%            Number of variables   :  146 ( 117   !;  29   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f229,plain,
    $false,
    inference(avatar_sat_refutation,[],[f131,f185,f228]) ).

fof(f228,plain,
    ( ~ spl12_1
    | spl12_2 ),
    inference(avatar_contradiction_clause,[],[f227]) ).

fof(f227,plain,
    ( $false
    | ~ spl12_1
    | spl12_2 ),
    inference(subsumption_resolution,[],[f222,f130]) ).

fof(f130,plain,
    ( empty_set != relation_rng(empty_set)
    | spl12_2 ),
    inference(avatar_component_clause,[],[f128]) ).

fof(f128,plain,
    ( spl12_2
  <=> empty_set = relation_rng(empty_set) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).

fof(f222,plain,
    ( empty_set = relation_rng(empty_set)
    | ~ spl12_1 ),
    inference(resolution,[],[f217,f188]) ).

fof(f188,plain,
    ( ! [X0] : ~ in(X0,empty_set)
    | ~ spl12_1 ),
    inference(backward_demodulation,[],[f175,f125]) ).

fof(f125,plain,
    ( empty_set = relation_dom(empty_set)
    | ~ spl12_1 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f124,plain,
    ( spl12_1
  <=> empty_set = relation_dom(empty_set) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).

fof(f175,plain,
    ! [X0] : ~ in(X0,relation_dom(empty_set)),
    inference(resolution,[],[f174,f92]) ).

fof(f92,plain,
    empty(empty_set),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,axiom,
    ( relation(empty_set)
    & empty(empty_set) ),
    file('/export/starexec/sandbox/tmp/tmp.R5w7RykWhE/Vampire---4.8_673',fc4_relat_1) ).

fof(f174,plain,
    ! [X0,X1] :
      ( ~ empty(X1)
      | ~ in(X0,relation_dom(X1)) ),
    inference(subsumption_resolution,[],[f171,f97]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | ~ empty(X1) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ~ empty(X1)
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,axiom,
    ! [X0,X1] :
      ~ ( empty(X1)
        & in(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.R5w7RykWhE/Vampire---4.8_673',t7_boole) ).

fof(f171,plain,
    ! [X0,X1] :
      ( ~ in(X0,relation_dom(X1))
      | in(unordered_pair(singleton(X0),unordered_pair(X0,sK6(X1,X0))),X1)
      | ~ empty(X1) ),
    inference(resolution,[],[f139,f108]) ).

fof(f108,plain,
    ! [X0] :
      ( relation(X0)
      | ~ empty(X0) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0] :
      ( relation(X0)
      | ~ empty(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( empty(X0)
     => relation(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.R5w7RykWhE/Vampire---4.8_673',cc1_relat_1) ).

fof(f139,plain,
    ! [X0,X5] :
      ( ~ relation(X0)
      | ~ in(X5,relation_dom(X0))
      | in(unordered_pair(singleton(X5),unordered_pair(X5,sK6(X0,X5))),X0) ),
    inference(backward_demodulation,[],[f122,f89]) ).

fof(f89,plain,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    file('/export/starexec/sandbox/tmp/tmp.R5w7RykWhE/Vampire---4.8_673',commutativity_k2_tarski) ).

fof(f122,plain,
    ! [X0,X5] :
      ( in(unordered_pair(unordered_pair(X5,sK6(X0,X5)),singleton(X5)),X0)
      | ~ in(X5,relation_dom(X0))
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f117]) ).

fof(f117,plain,
    ! [X0,X1,X5] :
      ( in(unordered_pair(unordered_pair(X5,sK6(X0,X5)),singleton(X5)),X0)
      | ~ in(X5,X1)
      | relation_dom(X0) != X1
      | ~ relation(X0) ),
    inference(definition_unfolding,[],[f85,f80]) ).

fof(f80,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    file('/export/starexec/sandbox/tmp/tmp.R5w7RykWhE/Vampire---4.8_673',d5_tarski) ).

fof(f85,plain,
    ! [X0,X1,X5] :
      ( in(ordered_pair(X5,sK6(X0,X5)),X0)
      | ~ in(X5,X1)
      | relation_dom(X0) != X1
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_dom(X0) = X1
            | ( ( ! [X3] : ~ in(ordered_pair(sK4(X0,X1),X3),X0)
                | ~ in(sK4(X0,X1),X1) )
              & ( in(ordered_pair(sK4(X0,X1),sK5(X0,X1)),X0)
                | in(sK4(X0,X1),X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
                & ( in(ordered_pair(X5,sK6(X0,X5)),X0)
                  | ~ in(X5,X1) ) )
            | relation_dom(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f60,f63,f62,f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
            | ~ in(X2,X1) )
          & ( ? [X4] : in(ordered_pair(X2,X4),X0)
            | in(X2,X1) ) )
     => ( ( ! [X3] : ~ in(ordered_pair(sK4(X0,X1),X3),X0)
          | ~ in(sK4(X0,X1),X1) )
        & ( ? [X4] : in(ordered_pair(sK4(X0,X1),X4),X0)
          | in(sK4(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ? [X4] : in(ordered_pair(sK4(X0,X1),X4),X0)
     => in(ordered_pair(sK4(X0,X1),sK5(X0,X1)),X0) ),
    introduced(choice_axiom,[]) ).

fof(f63,plain,
    ! [X0,X5] :
      ( ? [X7] : in(ordered_pair(X5,X7),X0)
     => in(ordered_pair(X5,sK6(X0,X5)),X0) ),
    introduced(choice_axiom,[]) ).

fof(f60,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_dom(X0) = X1
            | ? [X2] :
                ( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
                  | ~ in(X2,X1) )
                & ( ? [X4] : in(ordered_pair(X2,X4),X0)
                  | in(X2,X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
                & ( ? [X7] : in(ordered_pair(X5,X7),X0)
                  | ~ in(X5,X1) ) )
            | relation_dom(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(rectify,[],[f59]) ).

fof(f59,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_dom(X0) = X1
            | ? [X2] :
                ( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
                  | ~ in(X2,X1) )
                & ( ? [X3] : in(ordered_pair(X2,X3),X0)
                  | in(X2,X1) ) ) )
          & ( ! [X2] :
                ( ( in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
                & ( ? [X3] : in(ordered_pair(X2,X3),X0)
                  | ~ in(X2,X1) ) )
            | relation_dom(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
      ( ! [X1] :
          ( relation_dom(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( relation_dom(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.R5w7RykWhE/Vampire---4.8_673',d4_relat_1) ).

fof(f217,plain,
    ( ! [X0] :
        ( in(sK1(empty_set,X0),X0)
        | relation_rng(empty_set) = X0 )
    | ~ spl12_1 ),
    inference(subsumption_resolution,[],[f214,f188]) ).

fof(f214,plain,
    ! [X0] :
      ( relation_rng(empty_set) = X0
      | in(sK1(empty_set,X0),X0)
      | in(unordered_pair(singleton(sK2(empty_set,X0)),unordered_pair(sK1(empty_set,X0),sK2(empty_set,X0))),empty_set) ),
    inference(resolution,[],[f141,f93]) ).

fof(f93,plain,
    relation(empty_set),
    inference(cnf_transformation,[],[f19]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | relation_rng(X0) = X1
      | in(sK1(X0,X1),X1)
      | in(unordered_pair(singleton(sK2(X0,X1)),unordered_pair(sK1(X0,X1),sK2(X0,X1))),X0) ),
    inference(forward_demodulation,[],[f137,f89]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( in(unordered_pair(singleton(sK2(X0,X1)),unordered_pair(sK2(X0,X1),sK1(X0,X1))),X0)
      | relation_rng(X0) = X1
      | in(sK1(X0,X1),X1)
      | ~ relation(X0) ),
    inference(backward_demodulation,[],[f111,f89]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( relation_rng(X0) = X1
      | in(unordered_pair(unordered_pair(sK2(X0,X1),sK1(X0,X1)),singleton(sK2(X0,X1))),X0)
      | in(sK1(X0,X1),X1)
      | ~ relation(X0) ),
    inference(definition_unfolding,[],[f83,f80]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( relation_rng(X0) = X1
      | in(ordered_pair(sK2(X0,X1),sK1(X0,X1)),X0)
      | in(sK1(X0,X1),X1)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_rng(X0) = X1
            | ( ( ! [X3] : ~ in(ordered_pair(X3,sK1(X0,X1)),X0)
                | ~ in(sK1(X0,X1),X1) )
              & ( in(ordered_pair(sK2(X0,X1),sK1(X0,X1)),X0)
                | in(sK1(X0,X1),X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
                & ( in(ordered_pair(sK3(X0,X5),X5),X0)
                  | ~ in(X5,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f54,f57,f56,f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
            | ~ in(X2,X1) )
          & ( ? [X4] : in(ordered_pair(X4,X2),X0)
            | in(X2,X1) ) )
     => ( ( ! [X3] : ~ in(ordered_pair(X3,sK1(X0,X1)),X0)
          | ~ in(sK1(X0,X1),X1) )
        & ( ? [X4] : in(ordered_pair(X4,sK1(X0,X1)),X0)
          | in(sK1(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( ? [X4] : in(ordered_pair(X4,sK1(X0,X1)),X0)
     => in(ordered_pair(sK2(X0,X1),sK1(X0,X1)),X0) ),
    introduced(choice_axiom,[]) ).

fof(f57,plain,
    ! [X0,X5] :
      ( ? [X7] : in(ordered_pair(X7,X5),X0)
     => in(ordered_pair(sK3(X0,X5),X5),X0) ),
    introduced(choice_axiom,[]) ).

fof(f54,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_rng(X0) = X1
            | ? [X2] :
                ( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
                  | ~ in(X2,X1) )
                & ( ? [X4] : in(ordered_pair(X4,X2),X0)
                  | in(X2,X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
                & ( ? [X7] : in(ordered_pair(X7,X5),X0)
                  | ~ in(X5,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(rectify,[],[f53]) ).

fof(f53,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_rng(X0) = X1
            | ? [X2] :
                ( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
                  | ~ in(X2,X1) )
                & ( ? [X3] : in(ordered_pair(X3,X2),X0)
                  | in(X2,X1) ) ) )
          & ( ! [X2] :
                ( ( in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
                & ( ? [X3] : in(ordered_pair(X3,X2),X0)
                  | ~ in(X2,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0] :
      ( ! [X1] :
          ( relation_rng(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( relation_rng(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.R5w7RykWhE/Vampire---4.8_673',d5_relat_1) ).

fof(f185,plain,
    spl12_1,
    inference(avatar_split_clause,[],[f182,f124]) ).

fof(f182,plain,
    empty_set = relation_dom(empty_set),
    inference(resolution,[],[f175,f160]) ).

fof(f160,plain,
    ! [X0] :
      ( in(sK0(X0,empty_set),X0)
      | empty_set = X0 ),
    inference(resolution,[],[f156,f92]) ).

fof(f156,plain,
    ! [X0,X1] :
      ( ~ empty(X1)
      | in(sK0(X0,X1),X0)
      | X0 = X1 ),
    inference(resolution,[],[f78,f97]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( in(sK0(X0,X1),X1)
      | X0 = X1
      | in(sK0(X0,X1),X0) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ( ( ~ in(sK0(X0,X1),X1)
          | ~ in(sK0(X0,X1),X0) )
        & ( in(sK0(X0,X1),X1)
          | in(sK0(X0,X1),X0) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f50,f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ~ in(X2,X1)
            | ~ in(X2,X0) )
          & ( in(X2,X1)
            | in(X2,X0) ) )
     => ( ( ~ in(sK0(X0,X1),X1)
          | ~ in(sK0(X0,X1),X0) )
        & ( in(sK0(X0,X1),X1)
          | in(sK0(X0,X1),X0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ? [X2] :
          ( ( ~ in(X2,X1)
            | ~ in(X2,X0) )
          & ( in(X2,X1)
            | in(X2,X0) ) ) ),
    inference(nnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ? [X2] :
          ( in(X2,X0)
        <~> in(X2,X1) ) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ! [X0,X1] :
      ( ! [X2] :
          ( in(X2,X0)
        <=> in(X2,X1) )
     => X0 = X1 ),
    file('/export/starexec/sandbox/tmp/tmp.R5w7RykWhE/Vampire---4.8_673',t2_tarski) ).

fof(f131,plain,
    ( ~ spl12_1
    | ~ spl12_2 ),
    inference(avatar_split_clause,[],[f75,f128,f124]) ).

fof(f75,plain,
    ( empty_set != relation_rng(empty_set)
    | empty_set != relation_dom(empty_set) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ( empty_set != relation_rng(empty_set)
    | empty_set != relation_dom(empty_set) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,negated_conjecture,
    ~ ( empty_set = relation_rng(empty_set)
      & empty_set = relation_dom(empty_set) ),
    inference(negated_conjecture,[],[f29]) ).

fof(f29,conjecture,
    ( empty_set = relation_rng(empty_set)
    & empty_set = relation_dom(empty_set) ),
    file('/export/starexec/sandbox/tmp/tmp.R5w7RykWhE/Vampire---4.8_673',t60_relat_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : SEU187+1 : TPTP v8.1.2. Released v3.3.0.
% 0.02/0.11  % 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
% 0.10/0.31  % Computer : n014.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Apr 30 16:06:33 EDT 2024
% 0.16/0.31  % CPUTime    : 
% 0.16/0.31  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.31  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.R5w7RykWhE/Vampire---4.8_673
% 0.60/0.79  % (792)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 (2995ds/34Mi)
% 0.60/0.79  % (794)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.79  % (796)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 (2995ds/34Mi)
% 0.60/0.79  % (795)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.79  % (793)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 (2995ds/51Mi)
% 0.60/0.79  % (797)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.79  % (798)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 (2995ds/83Mi)
% 0.60/0.79  % (799)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 (2995ds/56Mi)
% 0.60/0.79  % (797)Refutation not found, incomplete strategy% (797)------------------------------
% 0.60/0.79  % (797)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (797)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (797)Memory used [KB]: 1043
% 0.60/0.79  % (797)Time elapsed: 0.003 s
% 0.60/0.79  % (797)Instructions burned: 3 (million)
% 0.60/0.79  % (797)------------------------------
% 0.60/0.79  % (797)------------------------------
% 0.60/0.79  % (799)Refutation not found, incomplete strategy% (799)------------------------------
% 0.60/0.79  % (799)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (799)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (799)Memory used [KB]: 1057
% 0.60/0.79  % (799)Time elapsed: 0.003 s
% 0.60/0.79  % (799)Instructions burned: 3 (million)
% 0.60/0.79  % (799)------------------------------
% 0.60/0.79  % (799)------------------------------
% 0.60/0.79  % (795)Refutation not found, incomplete strategy% (795)------------------------------
% 0.60/0.79  % (795)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (795)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (795)Memory used [KB]: 1041
% 0.60/0.79  % (795)Time elapsed: 0.004 s
% 0.60/0.79  % (795)Instructions burned: 3 (million)
% 0.60/0.79  % (795)------------------------------
% 0.60/0.79  % (795)------------------------------
% 0.60/0.79  % (792)Refutation not found, incomplete strategy% (792)------------------------------
% 0.60/0.79  % (792)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (792)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (792)Memory used [KB]: 1049
% 0.60/0.79  % (792)Time elapsed: 0.004 s
% 0.60/0.79  % (792)Instructions burned: 4 (million)
% 0.60/0.79  % (792)------------------------------
% 0.60/0.79  % (792)------------------------------
% 0.60/0.79  % (796)Refutation not found, incomplete strategy% (796)------------------------------
% 0.60/0.79  % (796)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (796)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (796)Memory used [KB]: 1063
% 0.60/0.79  % (796)Time elapsed: 0.004 s
% 0.60/0.79  % (796)Instructions burned: 4 (million)
% 0.60/0.79  % (796)------------------------------
% 0.60/0.79  % (796)------------------------------
% 0.60/0.79  % (798)Refutation not found, incomplete strategy% (798)------------------------------
% 0.60/0.79  % (798)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (798)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (798)Memory used [KB]: 1031
% 0.60/0.79  % (798)Time elapsed: 0.004 s
% 0.60/0.79  % (798)Instructions burned: 3 (million)
% 0.60/0.79  % (798)------------------------------
% 0.60/0.79  % (798)------------------------------
% 0.60/0.79  % (800)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)
% 0.60/0.79  % (802)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)
% 0.60/0.79  % (801)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)
% 0.60/0.79  % (803)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)
% 0.60/0.79  % (804)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)
% 0.60/0.79  % (794)First to succeed.
% 0.60/0.79  % (805)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)
% 0.60/0.79  % (801)Refutation not found, incomplete strategy% (801)------------------------------
% 0.60/0.79  % (801)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (801)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (801)Memory used [KB]: 1039
% 0.60/0.79  % (801)Time elapsed: 0.003 s
% 0.60/0.79  % (801)Instructions burned: 4 (million)
% 0.60/0.79  % (801)------------------------------
% 0.60/0.79  % (801)------------------------------
% 0.60/0.79  % (804)Refutation not found, incomplete strategy% (804)------------------------------
% 0.60/0.79  % (804)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (804)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (804)Memory used [KB]: 1049
% 0.60/0.79  % (804)Time elapsed: 0.003 s
% 0.60/0.79  % (804)Instructions burned: 4 (million)
% 0.60/0.79  % (804)------------------------------
% 0.60/0.79  % (804)------------------------------
% 0.60/0.79  % (805)Refutation not found, incomplete strategy% (805)------------------------------
% 0.60/0.79  % (805)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (805)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (805)Memory used [KB]: 1036
% 0.60/0.79  % (805)Time elapsed: 0.003 s
% 0.60/0.79  % (805)Instructions burned: 3 (million)
% 0.60/0.79  % (805)------------------------------
% 0.60/0.79  % (805)------------------------------
% 0.60/0.79  % (794)Refutation found. Thanks to Tanya!
% 0.60/0.79  % SZS status Theorem for Vampire---4
% 0.60/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.80  % (794)------------------------------
% 0.60/0.80  % (794)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (794)Termination reason: Refutation
% 0.60/0.80  
% 0.60/0.80  % (794)Memory used [KB]: 1086
% 0.60/0.80  % (794)Time elapsed: 0.010 s
% 0.60/0.80  % (794)Instructions burned: 12 (million)
% 0.60/0.80  % (794)------------------------------
% 0.60/0.80  % (794)------------------------------
% 0.60/0.80  % (791)Success in time 0.475 s
% 0.60/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------