TSTP Solution File: SEU212+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU212+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n028.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 Aug 31 18:27:28 EDT 2022

% Result   : Theorem 1.62s 0.58s
% Output   : Refutation 1.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   56 (   3 unt;   0 def)
%            Number of atoms       :  259 (  55 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  311 ( 108   ~; 117   |;  57   &)
%                                         (  16 <=>;  11  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   4 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-2 aty)
%            Number of variables   :   99 (  68   !;  31   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1478,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1157,f1165,f1166,f1405,f1471,f1477]) ).

fof(f1477,plain,
    ( ~ spl66_1
    | spl66_2
    | ~ spl66_3 ),
    inference(avatar_contradiction_clause,[],[f1476]) ).

fof(f1476,plain,
    ( $false
    | ~ spl66_1
    | spl66_2
    | ~ spl66_3 ),
    inference(subsumption_resolution,[],[f1475,f1155]) ).

fof(f1155,plain,
    ( ~ in(ordered_pair(sK6,sK8),sK7)
    | spl66_2 ),
    inference(avatar_component_clause,[],[f1154]) ).

fof(f1154,plain,
    ( spl66_2
  <=> in(ordered_pair(sK6,sK8),sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl66_2])]) ).

fof(f1475,plain,
    ( in(ordered_pair(sK6,sK8),sK7)
    | ~ spl66_1
    | ~ spl66_3 ),
    inference(backward_demodulation,[],[f1421,f1152]) ).

fof(f1152,plain,
    ( apply(sK7,sK6) = sK8
    | ~ spl66_1 ),
    inference(avatar_component_clause,[],[f1150]) ).

fof(f1150,plain,
    ( spl66_1
  <=> apply(sK7,sK6) = sK8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl66_1])]) ).

fof(f1421,plain,
    ( in(ordered_pair(sK6,apply(sK7,sK6)),sK7)
    | ~ spl66_3 ),
    inference(unit_resulting_resolution,[],[f769,f768,f1163,f1141]) ).

fof(f1141,plain,
    ! [X2,X0] :
      ( in(ordered_pair(X2,apply(X0,X2)),X0)
      | ~ in(X2,relation_dom(X0))
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(equality_resolution,[],[f1049]) ).

fof(f1049,plain,
    ! [X2,X0,X1] :
      ( ~ in(X2,relation_dom(X0))
      | in(ordered_pair(X2,X1),X0)
      | apply(X0,X2) != X1
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f709]) ).

fof(f709,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ( ( empty_set = X1
                | apply(X0,X2) != X1 )
              & ( apply(X0,X2) = X1
                | empty_set != X1 ) )
            | in(X2,relation_dom(X0)) )
          & ( ~ in(X2,relation_dom(X0))
            | ( ( in(ordered_pair(X2,X1),X0)
                | apply(X0,X2) != X1 )
              & ( apply(X0,X2) = X1
                | ~ in(ordered_pair(X2,X1),X0) ) ) ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(rectify,[],[f708]) ).

fof(f708,plain,
    ! [X0] :
      ( ! [X2,X1] :
          ( ( ( ( empty_set = X2
                | apply(X0,X1) != X2 )
              & ( apply(X0,X1) = X2
                | empty_set != X2 ) )
            | in(X1,relation_dom(X0)) )
          & ( ~ in(X1,relation_dom(X0))
            | ( ( in(ordered_pair(X1,X2),X0)
                | apply(X0,X1) != X2 )
              & ( apply(X0,X1) = X2
                | ~ in(ordered_pair(X1,X2),X0) ) ) ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(nnf_transformation,[],[f430]) ).

fof(f430,plain,
    ! [X0] :
      ( ! [X2,X1] :
          ( ( ( empty_set = X2
            <=> apply(X0,X1) = X2 )
            | in(X1,relation_dom(X0)) )
          & ( ~ in(X1,relation_dom(X0))
            | ( in(ordered_pair(X1,X2),X0)
            <=> apply(X0,X1) = X2 ) ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(flattening,[],[f429]) ).

fof(f429,plain,
    ! [X0] :
      ( ! [X2,X1] :
          ( ( ( empty_set = X2
            <=> apply(X0,X1) = X2 )
            | in(X1,relation_dom(X0)) )
          & ( ~ in(X1,relation_dom(X0))
            | ( in(ordered_pair(X1,X2),X0)
            <=> apply(X0,X1) = X2 ) ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,axiom,
    ! [X0] :
      ( ( relation(X0)
        & function(X0) )
     => ! [X2,X1] :
          ( ( in(X1,relation_dom(X0))
           => ( in(ordered_pair(X1,X2),X0)
            <=> apply(X0,X1) = X2 ) )
          & ( ~ in(X1,relation_dom(X0))
           => ( empty_set = X2
            <=> apply(X0,X1) = X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_funct_1) ).

fof(f1163,plain,
    ( in(sK6,relation_dom(sK7))
    | ~ spl66_3 ),
    inference(avatar_component_clause,[],[f1162]) ).

fof(f1162,plain,
    ( spl66_3
  <=> in(sK6,relation_dom(sK7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl66_3])]) ).

fof(f768,plain,
    relation(sK7),
    inference(cnf_transformation,[],[f498]) ).

fof(f498,plain,
    ( function(sK7)
    & relation(sK7)
    & ( ~ in(sK6,relation_dom(sK7))
      | apply(sK7,sK6) != sK8
      | ~ in(ordered_pair(sK6,sK8),sK7) )
    & ( ( in(sK6,relation_dom(sK7))
        & apply(sK7,sK6) = sK8 )
      | in(ordered_pair(sK6,sK8),sK7) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f496,f497]) ).

fof(f497,plain,
    ( ? [X0,X1,X2] :
        ( function(X1)
        & relation(X1)
        & ( ~ in(X0,relation_dom(X1))
          | apply(X1,X0) != X2
          | ~ in(ordered_pair(X0,X2),X1) )
        & ( ( in(X0,relation_dom(X1))
            & apply(X1,X0) = X2 )
          | in(ordered_pair(X0,X2),X1) ) )
   => ( function(sK7)
      & relation(sK7)
      & ( ~ in(sK6,relation_dom(sK7))
        | apply(sK7,sK6) != sK8
        | ~ in(ordered_pair(sK6,sK8),sK7) )
      & ( ( in(sK6,relation_dom(sK7))
          & apply(sK7,sK6) = sK8 )
        | in(ordered_pair(sK6,sK8),sK7) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f496,plain,
    ? [X0,X1,X2] :
      ( function(X1)
      & relation(X1)
      & ( ~ in(X0,relation_dom(X1))
        | apply(X1,X0) != X2
        | ~ in(ordered_pair(X0,X2),X1) )
      & ( ( in(X0,relation_dom(X1))
          & apply(X1,X0) = X2 )
        | in(ordered_pair(X0,X2),X1) ) ),
    inference(rectify,[],[f495]) ).

fof(f495,plain,
    ? [X1,X2,X0] :
      ( function(X2)
      & relation(X2)
      & ( ~ in(X1,relation_dom(X2))
        | apply(X2,X1) != X0
        | ~ in(ordered_pair(X1,X0),X2) )
      & ( ( in(X1,relation_dom(X2))
          & apply(X2,X1) = X0 )
        | in(ordered_pair(X1,X0),X2) ) ),
    inference(flattening,[],[f494]) ).

fof(f494,plain,
    ? [X1,X2,X0] :
      ( function(X2)
      & relation(X2)
      & ( ~ in(X1,relation_dom(X2))
        | apply(X2,X1) != X0
        | ~ in(ordered_pair(X1,X0),X2) )
      & ( ( in(X1,relation_dom(X2))
          & apply(X2,X1) = X0 )
        | in(ordered_pair(X1,X0),X2) ) ),
    inference(nnf_transformation,[],[f416]) ).

fof(f416,plain,
    ? [X1,X2,X0] :
      ( function(X2)
      & relation(X2)
      & ( in(ordered_pair(X1,X0),X2)
      <~> ( in(X1,relation_dom(X2))
          & apply(X2,X1) = X0 ) ) ),
    inference(flattening,[],[f415]) ).

fof(f415,plain,
    ? [X1,X2,X0] :
      ( ( in(ordered_pair(X1,X0),X2)
      <~> ( in(X1,relation_dom(X2))
          & apply(X2,X1) = X0 ) )
      & relation(X2)
      & function(X2) ),
    inference(ennf_transformation,[],[f217]) ).

fof(f217,plain,
    ~ ! [X1,X2,X0] :
        ( ( relation(X2)
          & function(X2) )
       => ( in(ordered_pair(X1,X0),X2)
        <=> ( in(X1,relation_dom(X2))
            & apply(X2,X1) = X0 ) ) ),
    inference(rectify,[],[f207]) ).

fof(f207,negated_conjecture,
    ~ ! [X1,X0,X2] :
        ( ( relation(X2)
          & function(X2) )
       => ( ( in(X0,relation_dom(X2))
            & apply(X2,X0) = X1 )
        <=> in(ordered_pair(X0,X1),X2) ) ),
    inference(negated_conjecture,[],[f206]) ).

fof(f206,conjecture,
    ! [X1,X0,X2] :
      ( ( relation(X2)
        & function(X2) )
     => ( ( in(X0,relation_dom(X2))
          & apply(X2,X0) = X1 )
      <=> in(ordered_pair(X0,X1),X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_funct_1) ).

fof(f769,plain,
    function(sK7),
    inference(cnf_transformation,[],[f498]) ).

fof(f1471,plain,
    ( spl66_1
    | ~ spl66_2
    | ~ spl66_3 ),
    inference(avatar_contradiction_clause,[],[f1470]) ).

fof(f1470,plain,
    ( $false
    | spl66_1
    | ~ spl66_2
    | ~ spl66_3 ),
    inference(subsumption_resolution,[],[f1420,f1151]) ).

fof(f1151,plain,
    ( apply(sK7,sK6) != sK8
    | spl66_1 ),
    inference(avatar_component_clause,[],[f1150]) ).

fof(f1420,plain,
    ( apply(sK7,sK6) = sK8
    | ~ spl66_2
    | ~ spl66_3 ),
    inference(unit_resulting_resolution,[],[f769,f768,f1156,f1163,f1048]) ).

fof(f1048,plain,
    ! [X2,X0,X1] :
      ( ~ in(ordered_pair(X2,X1),X0)
      | ~ function(X0)
      | apply(X0,X2) = X1
      | ~ relation(X0)
      | ~ in(X2,relation_dom(X0)) ),
    inference(cnf_transformation,[],[f709]) ).

fof(f1156,plain,
    ( in(ordered_pair(sK6,sK8),sK7)
    | ~ spl66_2 ),
    inference(avatar_component_clause,[],[f1154]) ).

fof(f1405,plain,
    ( ~ spl66_2
    | spl66_3 ),
    inference(avatar_contradiction_clause,[],[f1404]) ).

fof(f1404,plain,
    ( $false
    | ~ spl66_2
    | spl66_3 ),
    inference(subsumption_resolution,[],[f1345,f1164]) ).

fof(f1164,plain,
    ( ~ in(sK6,relation_dom(sK7))
    | spl66_3 ),
    inference(avatar_component_clause,[],[f1162]) ).

fof(f1345,plain,
    ( in(sK6,relation_dom(sK7))
    | ~ spl66_2 ),
    inference(unit_resulting_resolution,[],[f768,f1156,f1116]) ).

fof(f1116,plain,
    ! [X0,X6,X5] :
      ( ~ in(ordered_pair(X5,X6),X0)
      | ~ relation(X0)
      | in(X5,relation_dom(X0)) ),
    inference(equality_resolution,[],[f922]) ).

fof(f922,plain,
    ! [X0,X1,X6,X5] :
      ( ~ relation(X0)
      | in(X5,X1)
      | ~ in(ordered_pair(X5,X6),X0)
      | relation_dom(X0) != X1 ),
    inference(cnf_transformation,[],[f625]) ).

fof(f625,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( relation_dom(X0) = X1
            | ( ( ! [X3] : ~ in(ordered_pair(sK39(X0,X1),X3),X0)
                | ~ in(sK39(X0,X1),X1) )
              & ( in(ordered_pair(sK39(X0,X1),sK40(X0,X1)),X0)
                | in(sK39(X0,X1),X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
                & ( in(ordered_pair(X5,sK41(X0,X5)),X0)
                  | ~ in(X5,X1) ) )
            | relation_dom(X0) != X1 ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK39,sK40,sK41])],[f621,f624,f623,f622]) ).

fof(f622,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(sK39(X0,X1),X3),X0)
          | ~ in(sK39(X0,X1),X1) )
        & ( ? [X4] : in(ordered_pair(sK39(X0,X1),X4),X0)
          | in(sK39(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f623,plain,
    ! [X0,X1] :
      ( ? [X4] : in(ordered_pair(sK39(X0,X1),X4),X0)
     => in(ordered_pair(sK39(X0,X1),sK40(X0,X1)),X0) ),
    introduced(choice_axiom,[]) ).

fof(f624,plain,
    ! [X0,X5] :
      ( ? [X7] : in(ordered_pair(X5,X7),X0)
     => in(ordered_pair(X5,sK41(X0,X5)),X0) ),
    introduced(choice_axiom,[]) ).

fof(f621,plain,
    ! [X0] :
      ( ~ relation(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 ) ) ),
    inference(rectify,[],[f620]) ).

fof(f620,plain,
    ! [X0] :
      ( ~ relation(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 ) ) ),
    inference(nnf_transformation,[],[f456]) ).

fof(f456,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( relation_dom(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( relation_dom(X0) = X1
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).

fof(f1166,plain,
    ( spl66_3
    | spl66_2 ),
    inference(avatar_split_clause,[],[f766,f1154,f1162]) ).

fof(f766,plain,
    ( in(ordered_pair(sK6,sK8),sK7)
    | in(sK6,relation_dom(sK7)) ),
    inference(cnf_transformation,[],[f498]) ).

fof(f1165,plain,
    ( ~ spl66_3
    | ~ spl66_2
    | ~ spl66_1 ),
    inference(avatar_split_clause,[],[f767,f1150,f1154,f1162]) ).

fof(f767,plain,
    ( apply(sK7,sK6) != sK8
    | ~ in(ordered_pair(sK6,sK8),sK7)
    | ~ in(sK6,relation_dom(sK7)) ),
    inference(cnf_transformation,[],[f498]) ).

fof(f1157,plain,
    ( spl66_1
    | spl66_2 ),
    inference(avatar_split_clause,[],[f765,f1154,f1150]) ).

fof(f765,plain,
    ( in(ordered_pair(sK6,sK8),sK7)
    | apply(sK7,sK6) = sK8 ),
    inference(cnf_transformation,[],[f498]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SEU212+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n028.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 14:58:33 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.50  % (7832)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.50  % (7840)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51  % (7826)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (7835)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.52  % (7848)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.52  % (7827)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52  % (7852)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.52  % (7840)Instruction limit reached!
% 0.19/0.52  % (7840)------------------------------
% 0.19/0.52  % (7840)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (7836)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (7840)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (7840)Termination reason: Unknown
% 0.19/0.52  % (7840)Termination phase: shuffling
% 0.19/0.52  
% 0.19/0.52  % (7840)Memory used [KB]: 1663
% 0.19/0.52  % (7840)Time elapsed: 0.005 s
% 0.19/0.52  % (7840)Instructions burned: 3 (million)
% 0.19/0.52  % (7840)------------------------------
% 0.19/0.52  % (7840)------------------------------
% 0.19/0.52  % (7823)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52  % (7824)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52  % (7837)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52  % (7825)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52  % (7825)Instruction limit reached!
% 0.19/0.52  % (7825)------------------------------
% 0.19/0.52  % (7825)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (7825)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (7825)Termination reason: Unknown
% 0.19/0.52  % (7825)Termination phase: Naming
% 0.19/0.52  
% 0.19/0.52  % (7825)Memory used [KB]: 1663
% 0.19/0.52  % (7825)Time elapsed: 0.004 s
% 0.19/0.52  % (7825)Instructions burned: 4 (million)
% 0.19/0.52  % (7825)------------------------------
% 0.19/0.52  % (7825)------------------------------
% 0.19/0.52  % (7835)Instruction limit reached!
% 0.19/0.52  % (7835)------------------------------
% 0.19/0.52  % (7835)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (7844)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53  % (7824)Instruction limit reached!
% 0.19/0.53  % (7824)------------------------------
% 0.19/0.53  % (7824)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (7824)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (7824)Termination reason: Unknown
% 0.19/0.53  % (7824)Termination phase: Function definition elimination
% 0.19/0.53  
% 0.19/0.53  % (7824)Memory used [KB]: 2174
% 0.19/0.53  % (7824)Time elapsed: 0.007 s
% 0.19/0.53  % (7824)Instructions burned: 14 (million)
% 0.19/0.53  % (7824)------------------------------
% 0.19/0.53  % (7824)------------------------------
% 0.19/0.53  % (7829)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.53  % (7841)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53  % (7851)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.53  % (7843)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.53  % (7849)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53  % (7847)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53  % (7838)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53  % (7837)Instruction limit reached!
% 0.19/0.53  % (7837)------------------------------
% 0.19/0.53  % (7837)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (7837)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (7837)Termination reason: Unknown
% 0.19/0.53  % (7837)Termination phase: shuffling
% 0.19/0.53  
% 0.19/0.53  % (7837)Memory used [KB]: 1663
% 0.19/0.53  % (7837)Time elapsed: 0.004 s
% 0.19/0.53  % (7837)Instructions burned: 4 (million)
% 0.19/0.53  % (7837)------------------------------
% 0.19/0.53  % (7837)------------------------------
% 0.19/0.53  % (7845)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.53  % (7835)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (7835)Termination reason: Unknown
% 0.19/0.53  % (7835)Termination phase: Property scanning
% 0.19/0.53  
% 0.19/0.53  % (7835)Memory used [KB]: 2174
% 0.19/0.53  % (7835)Time elapsed: 0.011 s
% 0.19/0.53  % (7835)Instructions burned: 17 (million)
% 0.19/0.53  % (7835)------------------------------
% 0.19/0.53  % (7835)------------------------------
% 1.40/0.54  % (7842)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.40/0.54  % (7851)Instruction limit reached!
% 1.40/0.54  % (7851)------------------------------
% 1.40/0.54  % (7851)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.54  % (7851)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.54  % (7851)Termination reason: Unknown
% 1.40/0.54  % (7851)Termination phase: Preprocessing 3
% 1.40/0.54  
% 1.40/0.54  % (7851)Memory used [KB]: 1918
% 1.40/0.54  % (7851)Time elapsed: 0.008 s
% 1.40/0.54  % (7851)Instructions burned: 8 (million)
% 1.40/0.54  % (7851)------------------------------
% 1.40/0.54  % (7851)------------------------------
% 1.40/0.54  % (7846)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.40/0.54  % (7839)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.40/0.54  % (7834)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.40/0.54  % (7832)Instruction limit reached!
% 1.40/0.54  % (7832)------------------------------
% 1.40/0.54  % (7832)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.54  % (7832)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.54  % (7832)Termination reason: Unknown
% 1.40/0.54  % (7832)Termination phase: Saturation
% 1.40/0.54  
% 1.40/0.54  % (7832)Memory used [KB]: 6908
% 1.40/0.54  % (7832)Time elapsed: 0.030 s
% 1.40/0.54  % (7832)Instructions burned: 34 (million)
% 1.40/0.54  % (7832)------------------------------
% 1.40/0.54  % (7832)------------------------------
% 1.40/0.54  % (7834)Instruction limit reached!
% 1.40/0.54  % (7834)------------------------------
% 1.40/0.54  % (7834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.54  % (7834)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.54  % (7834)Termination reason: Unknown
% 1.40/0.54  % (7834)Termination phase: Preprocessing 3
% 1.40/0.54  
% 1.40/0.54  % (7834)Memory used [KB]: 2046
% 1.40/0.54  % (7834)Time elapsed: 0.006 s
% 1.40/0.54  % (7834)Instructions burned: 9 (million)
% 1.40/0.54  % (7834)------------------------------
% 1.40/0.54  % (7834)------------------------------
% 1.40/0.54  % (7850)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.40/0.54  % (7833)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.40/0.54  % (7827)Instruction limit reached!
% 1.40/0.54  % (7827)------------------------------
% 1.40/0.54  % (7827)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.54  % (7827)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.54  % (7827)Termination reason: Unknown
% 1.40/0.54  % (7827)Termination phase: Function definition elimination
% 1.40/0.54  
% 1.40/0.54  % (7827)Memory used [KB]: 2046
% 1.40/0.54  % (7827)Time elapsed: 0.007 s
% 1.40/0.54  % (7827)Instructions burned: 13 (million)
% 1.40/0.54  % (7827)------------------------------
% 1.40/0.54  % (7827)------------------------------
% 1.40/0.55  % (7828)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.40/0.55  % (7830)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.40/0.55  % (7841)Instruction limit reached!
% 1.40/0.55  % (7841)------------------------------
% 1.40/0.55  % (7841)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.55  % (7841)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.55  % (7841)Termination reason: Unknown
% 1.40/0.55  % (7841)Termination phase: SInE selection
% 1.40/0.55  
% 1.40/0.55  % (7841)Memory used [KB]: 1535
% 1.40/0.55  % (7841)Time elapsed: 0.002 s
% 1.40/0.55  % (7841)Instructions burned: 2 (million)
% 1.40/0.55  % (7841)------------------------------
% 1.40/0.55  % (7841)------------------------------
% 1.40/0.55  % (7838)Instruction limit reached!
% 1.40/0.55  % (7838)------------------------------
% 1.40/0.55  % (7838)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.55  % (7838)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.55  % (7838)Termination reason: Unknown
% 1.40/0.55  % (7838)Termination phase: Preprocessing 3
% 1.40/0.55  
% 1.40/0.55  % (7838)Memory used [KB]: 1918
% 1.40/0.55  % (7838)Time elapsed: 0.006 s
% 1.40/0.55  % (7838)Instructions burned: 7 (million)
% 1.40/0.55  % (7838)------------------------------
% 1.40/0.55  % (7838)------------------------------
% 1.40/0.56  % (7831)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.62/0.56  % (7842)Instruction limit reached!
% 1.62/0.56  % (7842)------------------------------
% 1.62/0.56  % (7842)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.56  % (7842)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.56  % (7842)Termination reason: Unknown
% 1.62/0.56  % (7842)Termination phase: Property scanning
% 1.62/0.56  
% 1.62/0.56  % (7842)Memory used [KB]: 2046
% 1.62/0.56  % (7842)Time elapsed: 0.007 s
% 1.62/0.56  % (7842)Instructions burned: 11 (million)
% 1.62/0.56  % (7842)------------------------------
% 1.62/0.56  % (7842)------------------------------
% 1.62/0.56  % (7843)Instruction limit reached!
% 1.62/0.56  % (7843)------------------------------
% 1.62/0.56  % (7843)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.56  % (7843)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.56  % (7843)Termination reason: Unknown
% 1.62/0.56  % (7843)Termination phase: Saturation
% 1.62/0.56  
% 1.62/0.56  % (7843)Memory used [KB]: 6780
% 1.62/0.56  % (7843)Time elapsed: 0.152 s
% 1.62/0.56  % (7843)Instructions burned: 30 (million)
% 1.62/0.56  % (7843)------------------------------
% 1.62/0.56  % (7843)------------------------------
% 1.62/0.57  % (7833)Instruction limit reached!
% 1.62/0.57  % (7833)------------------------------
% 1.62/0.57  % (7833)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.57  % (7833)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.57  % (7833)Termination reason: Unknown
% 1.62/0.57  % (7833)Termination phase: Function definition elimination
% 1.62/0.57  
% 1.62/0.57  % (7833)Memory used [KB]: 2174
% 1.62/0.57  % (7833)Time elapsed: 0.007 s
% 1.62/0.57  % (7833)Instructions burned: 14 (million)
% 1.62/0.57  % (7833)------------------------------
% 1.62/0.57  % (7833)------------------------------
% 1.62/0.57  % (7828)Instruction limit reached!
% 1.62/0.57  % (7828)------------------------------
% 1.62/0.57  % (7828)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.57  % (7828)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.57  % (7828)Termination reason: Unknown
% 1.62/0.57  % (7828)Termination phase: Property scanning
% 1.62/0.57  
% 1.62/0.57  % (7828)Memory used [KB]: 2174
% 1.62/0.57  % (7828)Time elapsed: 0.011 s
% 1.62/0.57  % (7828)Instructions burned: 16 (million)
% 1.62/0.57  % (7828)------------------------------
% 1.62/0.57  % (7828)------------------------------
% 1.62/0.57  % (7850)Instruction limit reached!
% 1.62/0.57  % (7850)------------------------------
% 1.62/0.57  % (7850)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.57  % (7850)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.57  % (7850)Termination reason: Unknown
% 1.62/0.57  % (7850)Termination phase: Saturation
% 1.62/0.57  
% 1.62/0.57  % (7850)Memory used [KB]: 6780
% 1.62/0.57  % (7850)Time elapsed: 0.158 s
% 1.62/0.57  % (7850)Instructions burned: 26 (million)
% 1.62/0.57  % (7850)------------------------------
% 1.62/0.57  % (7850)------------------------------
% 1.62/0.57  % (7852)Instruction limit reached!
% 1.62/0.57  % (7852)------------------------------
% 1.62/0.57  % (7852)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.57  % (7852)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.57  % (7852)Termination reason: Unknown
% 1.62/0.57  % (7852)Termination phase: Saturation
% 1.62/0.57  
% 1.62/0.57  % (7852)Memory used [KB]: 6780
% 1.62/0.57  % (7852)Time elapsed: 0.016 s
% 1.62/0.57  % (7852)Instructions burned: 25 (million)
% 1.62/0.57  % (7852)------------------------------
% 1.62/0.57  % (7852)------------------------------
% 1.62/0.58  % (7826)First to succeed.
% 1.62/0.58  % (7826)Refutation found. Thanks to Tanya!
% 1.62/0.58  % SZS status Theorem for theBenchmark
% 1.62/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.62/0.58  % (7826)------------------------------
% 1.62/0.58  % (7826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.58  % (7826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.58  % (7826)Termination reason: Refutation
% 1.62/0.58  
% 1.62/0.58  % (7826)Memory used [KB]: 7419
% 1.62/0.58  % (7826)Time elapsed: 0.169 s
% 1.62/0.58  % (7826)Instructions burned: 42 (million)
% 1.62/0.58  % (7826)------------------------------
% 1.62/0.58  % (7826)------------------------------
% 1.62/0.58  % (7822)Success in time 0.222 s
%------------------------------------------------------------------------------