TSTP Solution File: SEU003+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU003+1 : TPTP v8.1.2. Released v3.2.0.
% 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 : n025.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 03:49:46 EDT 2024

% Result   : Theorem 0.87s 0.81s
% Output   : Refutation 0.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   56 (   8 unt;   0 def)
%            Number of atoms       :  291 (  46 equ)
%            Maximal formula atoms :   16 (   5 avg)
%            Number of connectives :  369 ( 134   ~; 129   |;  79   &)
%                                         (  11 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   2 con; 0-2 aty)
%            Number of variables   :  123 (  98   !;  25   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f345,plain,
    $false,
    inference(subsumption_resolution,[],[f344,f115]) ).

fof(f115,plain,
    ~ subset(relation_rng(sK1),relation_dom(sK0)),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ( ~ subset(relation_rng(sK1),relation_dom(sK0))
    & relation_dom(sK1) = relation_dom(relation_composition(sK1,sK0))
    & function(sK1)
    & relation(sK1)
    & function(sK0)
    & relation(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f43,f77,f76]) ).

fof(f76,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ~ subset(relation_rng(X1),relation_dom(X0))
            & relation_dom(X1) = relation_dom(relation_composition(X1,X0))
            & function(X1)
            & relation(X1) )
        & function(X0)
        & relation(X0) )
   => ( ? [X1] :
          ( ~ subset(relation_rng(X1),relation_dom(sK0))
          & relation_dom(X1) = relation_dom(relation_composition(X1,sK0))
          & function(X1)
          & relation(X1) )
      & function(sK0)
      & relation(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f77,plain,
    ( ? [X1] :
        ( ~ subset(relation_rng(X1),relation_dom(sK0))
        & relation_dom(X1) = relation_dom(relation_composition(X1,sK0))
        & function(X1)
        & relation(X1) )
   => ( ~ subset(relation_rng(sK1),relation_dom(sK0))
      & relation_dom(sK1) = relation_dom(relation_composition(sK1,sK0))
      & function(sK1)
      & relation(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f43,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ subset(relation_rng(X1),relation_dom(X0))
          & relation_dom(X1) = relation_dom(relation_composition(X1,X0))
          & function(X1)
          & relation(X1) )
      & function(X0)
      & relation(X0) ),
    inference(flattening,[],[f42]) ).

fof(f42,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ subset(relation_rng(X1),relation_dom(X0))
          & relation_dom(X1) = relation_dom(relation_composition(X1,X0))
          & function(X1)
          & relation(X1) )
      & function(X0)
      & relation(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,negated_conjecture,
    ~ ! [X0] :
        ( ( function(X0)
          & relation(X0) )
       => ! [X1] :
            ( ( function(X1)
              & relation(X1) )
           => ( relation_dom(X1) = relation_dom(relation_composition(X1,X0))
             => subset(relation_rng(X1),relation_dom(X0)) ) ) ),
    inference(negated_conjecture,[],[f30]) ).

fof(f30,conjecture,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ! [X1] :
          ( ( function(X1)
            & relation(X1) )
         => ( relation_dom(X1) = relation_dom(relation_composition(X1,X0))
           => subset(relation_rng(X1),relation_dom(X0)) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.HJ05PAoU8f/Vampire---4.8_7336',t27_funct_1) ).

fof(f344,plain,
    subset(relation_rng(sK1),relation_dom(sK0)),
    inference(duplicate_literal_removal,[],[f342]) ).

fof(f342,plain,
    ( subset(relation_rng(sK1),relation_dom(sK0))
    | subset(relation_rng(sK1),relation_dom(sK0)) ),
    inference(resolution,[],[f331,f153]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( ~ in(sK8(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ in(sK8(X0,X1),X1)
          & in(sK8(X0,X1),X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f95,f96]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ in(X2,X1)
          & in(X2,X0) )
     => ( ~ in(sK8(X0,X1),X1)
        & in(sK8(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f94]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X2] :
            ( in(X2,X1)
            | ~ in(X2,X0) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X1)
          | ~ in(X2,X0) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.HJ05PAoU8f/Vampire---4.8_7336',d3_tarski) ).

fof(f331,plain,
    ! [X0] :
      ( in(sK8(relation_rng(sK1),X0),relation_dom(sK0))
      | subset(relation_rng(sK1),X0) ),
    inference(resolution,[],[f328,f152]) ).

fof(f152,plain,
    ! [X0,X1] :
      ( in(sK8(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f328,plain,
    ! [X0] :
      ( ~ in(X0,relation_rng(sK1))
      | in(X0,relation_dom(sK0)) ),
    inference(subsumption_resolution,[],[f327,f112]) ).

fof(f112,plain,
    relation(sK1),
    inference(cnf_transformation,[],[f78]) ).

fof(f327,plain,
    ! [X0] :
      ( in(X0,relation_dom(sK0))
      | ~ in(X0,relation_rng(sK1))
      | ~ relation(sK1) ),
    inference(subsumption_resolution,[],[f326,f113]) ).

fof(f113,plain,
    function(sK1),
    inference(cnf_transformation,[],[f78]) ).

fof(f326,plain,
    ! [X0] :
      ( in(X0,relation_dom(sK0))
      | ~ in(X0,relation_rng(sK1))
      | ~ function(sK1)
      | ~ relation(sK1) ),
    inference(duplicate_literal_removal,[],[f325]) ).

fof(f325,plain,
    ! [X0] :
      ( in(X0,relation_dom(sK0))
      | ~ in(X0,relation_rng(sK1))
      | ~ in(X0,relation_rng(sK1))
      | ~ function(sK1)
      | ~ relation(sK1) ),
    inference(resolution,[],[f294,f177]) ).

fof(f177,plain,
    ! [X0,X5] :
      ( in(sK4(X0,X5),relation_dom(X0))
      | ~ in(X5,relation_rng(X0))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f118]) ).

fof(f118,plain,
    ! [X0,X1,X5] :
      ( in(sK4(X0,X5),relation_dom(X0))
      | ~ in(X5,X1)
      | relation_rng(X0) != X1
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_rng(X0) = X1
            | ( ( ! [X3] :
                    ( apply(X0,X3) != sK2(X0,X1)
                    | ~ in(X3,relation_dom(X0)) )
                | ~ in(sK2(X0,X1),X1) )
              & ( ( sK2(X0,X1) = apply(X0,sK3(X0,X1))
                  & in(sK3(X0,X1),relation_dom(X0)) )
                | in(sK2(X0,X1),X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] :
                      ( apply(X0,X6) != X5
                      | ~ in(X6,relation_dom(X0)) ) )
                & ( ( apply(X0,sK4(X0,X5)) = X5
                    & in(sK4(X0,X5),relation_dom(X0)) )
                  | ~ in(X5,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f80,f83,f82,f81]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ! [X3] :
                ( apply(X0,X3) != X2
                | ~ in(X3,relation_dom(X0)) )
            | ~ in(X2,X1) )
          & ( ? [X4] :
                ( apply(X0,X4) = X2
                & in(X4,relation_dom(X0)) )
            | in(X2,X1) ) )
     => ( ( ! [X3] :
              ( apply(X0,X3) != sK2(X0,X1)
              | ~ in(X3,relation_dom(X0)) )
          | ~ in(sK2(X0,X1),X1) )
        & ( ? [X4] :
              ( apply(X0,X4) = sK2(X0,X1)
              & in(X4,relation_dom(X0)) )
          | in(sK2(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( apply(X0,X4) = sK2(X0,X1)
          & in(X4,relation_dom(X0)) )
     => ( sK2(X0,X1) = apply(X0,sK3(X0,X1))
        & in(sK3(X0,X1),relation_dom(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f83,plain,
    ! [X0,X5] :
      ( ? [X7] :
          ( apply(X0,X7) = X5
          & in(X7,relation_dom(X0)) )
     => ( apply(X0,sK4(X0,X5)) = X5
        & in(sK4(X0,X5),relation_dom(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f80,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_rng(X0) = X1
            | ? [X2] :
                ( ( ! [X3] :
                      ( apply(X0,X3) != X2
                      | ~ in(X3,relation_dom(X0)) )
                  | ~ in(X2,X1) )
                & ( ? [X4] :
                      ( apply(X0,X4) = X2
                      & in(X4,relation_dom(X0)) )
                  | in(X2,X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] :
                      ( apply(X0,X6) != X5
                      | ~ in(X6,relation_dom(X0)) ) )
                & ( ? [X7] :
                      ( apply(X0,X7) = X5
                      & in(X7,relation_dom(X0)) )
                  | ~ in(X5,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(rectify,[],[f79]) ).

fof(f79,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( relation_rng(X0) = X1
            | ? [X2] :
                ( ( ! [X3] :
                      ( apply(X0,X3) != X2
                      | ~ in(X3,relation_dom(X0)) )
                  | ~ in(X2,X1) )
                & ( ? [X3] :
                      ( apply(X0,X3) = X2
                      & in(X3,relation_dom(X0)) )
                  | in(X2,X1) ) ) )
          & ( ! [X2] :
                ( ( in(X2,X1)
                  | ! [X3] :
                      ( apply(X0,X3) != X2
                      | ~ in(X3,relation_dom(X0)) ) )
                & ( ? [X3] :
                      ( apply(X0,X3) = X2
                      & in(X3,relation_dom(X0)) )
                  | ~ in(X2,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0] :
      ( ! [X1] :
          ( relation_rng(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] :
                  ( apply(X0,X3) = X2
                  & in(X3,relation_dom(X0)) ) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(flattening,[],[f46]) ).

fof(f46,plain,
    ! [X0] :
      ( ! [X1] :
          ( relation_rng(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] :
                  ( apply(X0,X3) = X2
                  & in(X3,relation_dom(X0)) ) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ! [X1] :
          ( relation_rng(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] :
                  ( apply(X0,X3) = X2
                  & in(X3,relation_dom(X0)) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.HJ05PAoU8f/Vampire---4.8_7336',d5_funct_1) ).

fof(f294,plain,
    ! [X0] :
      ( ~ in(sK4(sK1,X0),relation_dom(sK1))
      | in(X0,relation_dom(sK0))
      | ~ in(X0,relation_rng(sK1)) ),
    inference(subsumption_resolution,[],[f293,f112]) ).

fof(f293,plain,
    ! [X0] :
      ( in(X0,relation_dom(sK0))
      | ~ in(sK4(sK1,X0),relation_dom(sK1))
      | ~ in(X0,relation_rng(sK1))
      | ~ relation(sK1) ),
    inference(subsumption_resolution,[],[f284,f113]) ).

fof(f284,plain,
    ! [X0] :
      ( in(X0,relation_dom(sK0))
      | ~ in(sK4(sK1,X0),relation_dom(sK1))
      | ~ in(X0,relation_rng(sK1))
      | ~ function(sK1)
      | ~ relation(sK1) ),
    inference(superposition,[],[f282,f176]) ).

fof(f176,plain,
    ! [X0,X5] :
      ( apply(X0,sK4(X0,X5)) = X5
      | ~ in(X5,relation_rng(X0))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f119]) ).

fof(f119,plain,
    ! [X0,X1,X5] :
      ( apply(X0,sK4(X0,X5)) = X5
      | ~ in(X5,X1)
      | relation_rng(X0) != X1
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f282,plain,
    ! [X0] :
      ( in(apply(sK1,X0),relation_dom(sK0))
      | ~ in(X0,relation_dom(sK1)) ),
    inference(subsumption_resolution,[],[f281,f110]) ).

fof(f110,plain,
    relation(sK0),
    inference(cnf_transformation,[],[f78]) ).

fof(f281,plain,
    ! [X0] :
      ( ~ in(X0,relation_dom(sK1))
      | in(apply(sK1,X0),relation_dom(sK0))
      | ~ relation(sK0) ),
    inference(subsumption_resolution,[],[f280,f111]) ).

fof(f111,plain,
    function(sK0),
    inference(cnf_transformation,[],[f78]) ).

fof(f280,plain,
    ! [X0] :
      ( ~ in(X0,relation_dom(sK1))
      | in(apply(sK1,X0),relation_dom(sK0))
      | ~ function(sK0)
      | ~ relation(sK0) ),
    inference(subsumption_resolution,[],[f279,f112]) ).

fof(f279,plain,
    ! [X0] :
      ( ~ in(X0,relation_dom(sK1))
      | in(apply(sK1,X0),relation_dom(sK0))
      | ~ relation(sK1)
      | ~ function(sK0)
      | ~ relation(sK0) ),
    inference(subsumption_resolution,[],[f274,f113]) ).

fof(f274,plain,
    ! [X0] :
      ( ~ in(X0,relation_dom(sK1))
      | in(apply(sK1,X0),relation_dom(sK0))
      | ~ function(sK1)
      | ~ relation(sK1)
      | ~ function(sK0)
      | ~ relation(sK0) ),
    inference(superposition,[],[f128,f114]) ).

fof(f114,plain,
    relation_dom(sK1) = relation_dom(relation_composition(sK1,sK0)),
    inference(cnf_transformation,[],[f78]) ).

fof(f128,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,relation_dom(relation_composition(X2,X1)))
      | in(apply(X2,X0),relation_dom(X1))
      | ~ function(X2)
      | ~ relation(X2)
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( ( in(X0,relation_dom(relation_composition(X2,X1)))
              | ~ in(apply(X2,X0),relation_dom(X1))
              | ~ in(X0,relation_dom(X2)) )
            & ( ( in(apply(X2,X0),relation_dom(X1))
                & in(X0,relation_dom(X2)) )
              | ~ in(X0,relation_dom(relation_composition(X2,X1))) ) )
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(flattening,[],[f85]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( ( in(X0,relation_dom(relation_composition(X2,X1)))
              | ~ in(apply(X2,X0),relation_dom(X1))
              | ~ in(X0,relation_dom(X2)) )
            & ( ( in(apply(X2,X0),relation_dom(X1))
                & in(X0,relation_dom(X2)) )
              | ~ in(X0,relation_dom(relation_composition(X2,X1))) ) )
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(nnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( in(X0,relation_dom(relation_composition(X2,X1)))
          <=> ( in(apply(X2,X0),relation_dom(X1))
              & in(X0,relation_dom(X2)) ) )
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(flattening,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( in(X0,relation_dom(relation_composition(X2,X1)))
          <=> ( in(apply(X2,X0),relation_dom(X1))
              & in(X0,relation_dom(X2)) ) )
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,axiom,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1) )
     => ! [X2] :
          ( ( function(X2)
            & relation(X2) )
         => ( in(X0,relation_dom(relation_composition(X2,X1)))
          <=> ( in(apply(X2,X0),relation_dom(X1))
              & in(X0,relation_dom(X2)) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.HJ05PAoU8f/Vampire---4.8_7336',t21_funct_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SEU003+1 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.14  % 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
% 0.14/0.35  % Computer : n025.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Apr 30 16:23:41 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35  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.HJ05PAoU8f/Vampire---4.8_7336
% 0.57/0.74  % (7603)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)
% 0.57/0.74  % (7597)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)
% 0.57/0.74  % (7599)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74  % (7600)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)
% 0.57/0.74  % (7598)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)
% 0.57/0.74  % (7604)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)
% 0.57/0.74  % (7601)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)
% 0.57/0.74  % (7602)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)
% 0.57/0.74  % (7602)Refutation not found, incomplete strategy% (7602)------------------------------
% 0.57/0.74  % (7602)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74  % (7602)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (7602)Memory used [KB]: 1053
% 0.57/0.74  % (7602)Time elapsed: 0.004 s
% 0.57/0.74  % (7602)Instructions burned: 4 (million)
% 0.57/0.74  % (7602)------------------------------
% 0.57/0.74  % (7602)------------------------------
% 0.57/0.75  % (7601)Refutation not found, incomplete strategy% (7601)------------------------------
% 0.57/0.75  % (7601)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (7601)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (7601)Memory used [KB]: 1149
% 0.57/0.75  % (7601)Time elapsed: 0.007 s
% 0.57/0.75  % (7601)Instructions burned: 9 (million)
% 0.57/0.75  % (7601)------------------------------
% 0.57/0.75  % (7601)------------------------------
% 0.57/0.75  % (7605)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 (2996ds/55Mi)
% 0.57/0.75  % (7606)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 (2996ds/50Mi)
% 0.57/0.76  % (7600)Instruction limit reached!
% 0.57/0.76  % (7600)------------------------------
% 0.57/0.76  % (7600)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (7600)Termination reason: Unknown
% 0.57/0.76  % (7600)Termination phase: Saturation
% 0.57/0.76  
% 0.57/0.76  % (7600)Memory used [KB]: 1553
% 0.57/0.76  % (7600)Time elapsed: 0.019 s
% 0.57/0.76  % (7600)Instructions burned: 34 (million)
% 0.57/0.76  % (7600)------------------------------
% 0.57/0.76  % (7600)------------------------------
% 0.57/0.76  % (7597)Instruction limit reached!
% 0.57/0.76  % (7597)------------------------------
% 0.57/0.76  % (7597)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (7597)Termination reason: Unknown
% 0.57/0.76  % (7597)Termination phase: Saturation
% 0.57/0.76  
% 0.57/0.76  % (7597)Memory used [KB]: 1300
% 0.57/0.76  % (7597)Time elapsed: 0.020 s
% 0.57/0.76  % (7597)Instructions burned: 34 (million)
% 0.57/0.76  % (7597)------------------------------
% 0.57/0.76  % (7597)------------------------------
% 0.57/0.76  % (7603)Instruction limit reached!
% 0.57/0.76  % (7603)------------------------------
% 0.57/0.76  % (7603)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (7603)Termination reason: Unknown
% 0.57/0.76  % (7603)Termination phase: Saturation
% 0.57/0.76  
% 0.57/0.76  % (7603)Memory used [KB]: 1405
% 0.57/0.76  % (7603)Time elapsed: 0.023 s
% 0.57/0.76  % (7603)Instructions burned: 86 (million)
% 0.57/0.76  % (7603)------------------------------
% 0.57/0.76  % (7603)------------------------------
% 0.57/0.76  % (7607)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 (2996ds/208Mi)
% 0.57/0.76  % (7608)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 (2996ds/52Mi)
% 0.57/0.76  % (7609)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 (2996ds/518Mi)
% 0.57/0.76  % (7598)Instruction limit reached!
% 0.57/0.76  % (7598)------------------------------
% 0.57/0.76  % (7598)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (7598)Termination reason: Unknown
% 0.57/0.76  % (7598)Termination phase: Saturation
% 0.57/0.76  
% 0.57/0.76  % (7598)Memory used [KB]: 1257
% 0.57/0.76  % (7598)Time elapsed: 0.026 s
% 0.57/0.76  % (7598)Instructions burned: 53 (million)
% 0.57/0.76  % (7598)------------------------------
% 0.57/0.76  % (7598)------------------------------
% 0.57/0.77  % (7607)Refutation not found, incomplete strategy% (7607)------------------------------
% 0.57/0.77  % (7607)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.77  % (7607)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.77  
% 0.57/0.77  % (7607)Memory used [KB]: 1137
% 0.57/0.77  % (7607)Time elapsed: 0.008 s
% 0.57/0.77  % (7607)Instructions burned: 9 (million)
% 0.57/0.77  % (7607)------------------------------
% 0.57/0.77  % (7607)------------------------------
% 0.57/0.77  % (7610)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 (2996ds/42Mi)
% 0.57/0.77  % (7604)Instruction limit reached!
% 0.57/0.77  % (7604)------------------------------
% 0.57/0.77  % (7604)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.77  % (7604)Termination reason: Unknown
% 0.57/0.77  % (7604)Termination phase: Saturation
% 0.57/0.77  
% 0.57/0.77  % (7604)Memory used [KB]: 1525
% 0.57/0.77  % (7604)Time elapsed: 0.033 s
% 0.57/0.77  % (7604)Instructions burned: 58 (million)
% 0.57/0.77  % (7604)------------------------------
% 0.57/0.77  % (7604)------------------------------
% 0.57/0.77  % (7611)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.57/0.77  % (7612)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.57/0.78  % (7605)Instruction limit reached!
% 0.57/0.78  % (7605)------------------------------
% 0.57/0.78  % (7605)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.78  % (7605)Termination reason: Unknown
% 0.57/0.78  % (7605)Termination phase: Saturation
% 0.57/0.78  
% 0.57/0.78  % (7605)Memory used [KB]: 1918
% 0.57/0.78  % (7605)Time elapsed: 0.030 s
% 0.57/0.78  % (7605)Instructions burned: 55 (million)
% 0.57/0.78  % (7605)------------------------------
% 0.57/0.78  % (7605)------------------------------
% 0.57/0.78  % (7606)Instruction limit reached!
% 0.57/0.78  % (7606)------------------------------
% 0.57/0.78  % (7606)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.78  % (7606)Termination reason: Unknown
% 0.57/0.78  % (7606)Termination phase: Saturation
% 0.57/0.78  
% 0.57/0.78  % (7606)Memory used [KB]: 1698
% 0.57/0.78  % (7606)Time elapsed: 0.031 s
% 0.57/0.78  % (7606)Instructions burned: 51 (million)
% 0.57/0.78  % (7606)------------------------------
% 0.57/0.78  % (7606)------------------------------
% 0.57/0.78  % (7613)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.57/0.78  % (7614)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.57/0.79  % (7599)Instruction limit reached!
% 0.57/0.79  % (7599)------------------------------
% 0.57/0.79  % (7599)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.79  % (7599)Termination reason: Unknown
% 0.57/0.79  % (7599)Termination phase: Saturation
% 0.57/0.79  
% 0.57/0.79  % (7599)Memory used [KB]: 1986
% 0.57/0.79  % (7599)Time elapsed: 0.051 s
% 0.57/0.79  % (7599)Instructions burned: 78 (million)
% 0.57/0.79  % (7599)------------------------------
% 0.57/0.79  % (7599)------------------------------
% 0.57/0.79  % (7610)Instruction limit reached!
% 0.57/0.79  % (7610)------------------------------
% 0.57/0.79  % (7610)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.79  % (7610)Termination reason: Unknown
% 0.57/0.79  % (7610)Termination phase: Saturation
% 0.57/0.79  
% 0.57/0.79  % (7610)Memory used [KB]: 1269
% 0.57/0.79  % (7610)Time elapsed: 0.025 s
% 0.57/0.79  % (7610)Instructions burned: 43 (million)
% 0.57/0.79  % (7610)------------------------------
% 0.57/0.79  % (7610)------------------------------
% 0.57/0.79  % (7615)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.87/0.80  % (7608)Instruction limit reached!
% 0.87/0.80  % (7608)------------------------------
% 0.87/0.80  % (7608)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.87/0.80  % (7608)Termination reason: Unknown
% 0.87/0.80  % (7608)Termination phase: Saturation
% 0.87/0.80  
% 0.87/0.80  % (7608)Memory used [KB]: 1705
% 0.87/0.80  % (7608)Time elapsed: 0.035 s
% 0.87/0.80  % (7608)Instructions burned: 53 (million)
% 0.87/0.80  % (7608)------------------------------
% 0.87/0.80  % (7608)------------------------------
% 0.87/0.80  % (7616)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.87/0.80  % (7617)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.87/0.81  % (7617)First to succeed.
% 0.87/0.81  % (7617)Refutation found. Thanks to Tanya!
% 0.87/0.81  % SZS status Theorem for Vampire---4
% 0.87/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.87/0.81  % (7617)------------------------------
% 0.87/0.81  % (7617)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.87/0.81  % (7617)Termination reason: Refutation
% 0.87/0.81  
% 0.87/0.81  % (7617)Memory used [KB]: 1170
% 0.87/0.81  % (7617)Time elapsed: 0.011 s
% 0.87/0.81  % (7617)Instructions burned: 15 (million)
% 0.87/0.81  % (7617)------------------------------
% 0.87/0.81  % (7617)------------------------------
% 0.87/0.81  % (7593)Success in time 0.439 s
% 0.87/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------