TSTP Solution File: SEU284+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU284+1 : 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 : n005.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 18:28:21 EDT 2022

% Result   : Theorem 1.58s 0.62s
% Output   : Refutation 1.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   65 (   5 unt;   0 def)
%            Number of atoms       :  258 (  95 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  304 ( 111   ~;  98   |;  78   &)
%                                         (   4 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   5 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   1 con; 0-2 aty)
%            Number of variables   :  114 (  78   !;  36   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f189,plain,
    $false,
    inference(avatar_sat_refutation,[],[f144,f152,f180,f184,f188]) ).

fof(f188,plain,
    spl13_4,
    inference(avatar_contradiction_clause,[],[f187]) ).

fof(f187,plain,
    ( $false
    | spl13_4 ),
    inference(subsumption_resolution,[],[f186,f149]) ).

fof(f149,plain,
    ! [X0] : sP0(X0),
    inference(subsumption_resolution,[],[f148,f103]) ).

fof(f103,plain,
    ! [X0] :
      ( sK6(X0) != sK4(X0)
      | sP0(X0) ),
    inference(equality_resolution,[],[f84]) ).

fof(f84,plain,
    ! [X2,X0] :
      ( singleton(sK3(X0)) != X2
      | sK6(X0) != sK4(X0)
      | sP0(X0) ),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,plain,
    ! [X0] :
      ( ( ! [X2] : singleton(sK3(X0)) != X2
        & in(sK3(X0),X0) )
      | ( sK6(X0) = singleton(sK5(X0))
        & sK6(X0) != sK4(X0)
        & singleton(sK5(X0)) = sK4(X0)
        & in(sK5(X0),X0) )
      | sP0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6])],[f51,f53,f52]) ).

fof(f52,plain,
    ! [X0] :
      ( ? [X1] :
          ( ! [X2] : singleton(X1) != X2
          & in(X1,X0) )
     => ( ! [X2] : singleton(sK3(X0)) != X2
        & in(sK3(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f53,plain,
    ! [X0] :
      ( ? [X3,X4,X5] :
          ( singleton(X4) = X5
          & X3 != X5
          & singleton(X4) = X3
          & in(X4,X0) )
     => ( sK6(X0) = singleton(sK5(X0))
        & sK6(X0) != sK4(X0)
        & singleton(sK5(X0)) = sK4(X0)
        & in(sK5(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f51,plain,
    ! [X0] :
      ( ? [X1] :
          ( ! [X2] : singleton(X1) != X2
          & in(X1,X0) )
      | ? [X3,X4,X5] :
          ( singleton(X4) = X5
          & X3 != X5
          & singleton(X4) = X3
          & in(X4,X0) )
      | sP0(X0) ),
    inference(rectify,[],[f43]) ).

fof(f43,plain,
    ! [X0] :
      ( ? [X1] :
          ( ! [X2] : singleton(X1) != X2
          & in(X1,X0) )
      | ? [X4,X5,X3] :
          ( singleton(X5) = X3
          & X3 != X4
          & singleton(X5) = X4
          & in(X5,X0) )
      | sP0(X0) ),
    inference(definition_folding,[],[f38,f42]) ).

fof(f42,plain,
    ! [X0] :
      ( ? [X6] :
          ( function(X6)
          & ! [X7] :
              ( apply(X6,X7) = singleton(X7)
              | ~ in(X7,X0) )
          & relation(X6)
          & relation_dom(X6) = X0 )
      | ~ sP0(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f38,plain,
    ! [X0] :
      ( ? [X1] :
          ( ! [X2] : singleton(X1) != X2
          & in(X1,X0) )
      | ? [X4,X5,X3] :
          ( singleton(X5) = X3
          & X3 != X4
          & singleton(X5) = X4
          & in(X5,X0) )
      | ? [X6] :
          ( function(X6)
          & ! [X7] :
              ( apply(X6,X7) = singleton(X7)
              | ~ in(X7,X0) )
          & relation(X6)
          & relation_dom(X6) = X0 ) ),
    inference(flattening,[],[f37]) ).

fof(f37,plain,
    ! [X0] :
      ( ? [X6] :
          ( function(X6)
          & ! [X7] :
              ( apply(X6,X7) = singleton(X7)
              | ~ in(X7,X0) )
          & relation(X6)
          & relation_dom(X6) = X0 )
      | ? [X3,X5,X4] :
          ( X3 != X4
          & singleton(X5) = X4
          & singleton(X5) = X3
          & in(X5,X0) )
      | ? [X1] :
          ( ! [X2] : singleton(X1) != X2
          & in(X1,X0) ) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0] :
      ( ( ! [X3,X5,X4] :
            ( ( singleton(X5) = X4
              & singleton(X5) = X3
              & in(X5,X0) )
           => X3 = X4 )
        & ! [X1] :
            ~ ( ! [X2] : singleton(X1) != X2
              & in(X1,X0) ) )
     => ? [X6] :
          ( relation(X6)
          & function(X6)
          & relation_dom(X6) = X0
          & ! [X7] :
              ( in(X7,X0)
             => apply(X6,X7) = singleton(X7) ) ) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( ( ! [X1] :
            ~ ( ! [X2] : singleton(X1) != X2
              & in(X1,X0) )
        & ! [X2,X3,X1] :
            ( ( in(X1,X0)
              & singleton(X1) = X3
              & singleton(X1) = X2 )
           => X2 = X3 ) )
     => ? [X1] :
          ( ! [X2] :
              ( in(X2,X0)
             => apply(X1,X2) = singleton(X2) )
          & relation_dom(X1) = X0
          & function(X1)
          & relation(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s2_funct_1__e16_22__wellord2__1) ).

fof(f148,plain,
    ! [X0] :
      ( sP0(X0)
      | sK6(X0) = sK4(X0) ),
    inference(duplicate_literal_removal,[],[f146]) ).

fof(f146,plain,
    ! [X0] :
      ( sK6(X0) = sK4(X0)
      | sP0(X0)
      | sP0(X0) ),
    inference(superposition,[],[f102,f104]) ).

fof(f104,plain,
    ! [X0] :
      ( singleton(sK5(X0)) = sK4(X0)
      | sP0(X0) ),
    inference(equality_resolution,[],[f83]) ).

fof(f83,plain,
    ! [X2,X0] :
      ( singleton(sK3(X0)) != X2
      | singleton(sK5(X0)) = sK4(X0)
      | sP0(X0) ),
    inference(cnf_transformation,[],[f54]) ).

fof(f102,plain,
    ! [X0] :
      ( sK6(X0) = singleton(sK5(X0))
      | sP0(X0) ),
    inference(equality_resolution,[],[f85]) ).

fof(f85,plain,
    ! [X2,X0] :
      ( singleton(sK3(X0)) != X2
      | sK6(X0) = singleton(sK5(X0))
      | sP0(X0) ),
    inference(cnf_transformation,[],[f54]) ).

fof(f186,plain,
    ( ~ sP0(sK11)
    | spl13_4 ),
    inference(resolution,[],[f179,f75]) ).

fof(f75,plain,
    ! [X0] :
      ( relation(sK2(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0] :
      ( ( function(sK2(X0))
        & ! [X2] :
            ( singleton(X2) = apply(sK2(X0),X2)
            | ~ in(X2,X0) )
        & relation(sK2(X0))
        & relation_dom(sK2(X0)) = X0 )
      | ~ sP0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f48,f49]) ).

fof(f49,plain,
    ! [X0] :
      ( ? [X1] :
          ( function(X1)
          & ! [X2] :
              ( apply(X1,X2) = singleton(X2)
              | ~ in(X2,X0) )
          & relation(X1)
          & relation_dom(X1) = X0 )
     => ( function(sK2(X0))
        & ! [X2] :
            ( singleton(X2) = apply(sK2(X0),X2)
            | ~ in(X2,X0) )
        & relation(sK2(X0))
        & relation_dom(sK2(X0)) = X0 ) ),
    introduced(choice_axiom,[]) ).

fof(f48,plain,
    ! [X0] :
      ( ? [X1] :
          ( function(X1)
          & ! [X2] :
              ( apply(X1,X2) = singleton(X2)
              | ~ in(X2,X0) )
          & relation(X1)
          & relation_dom(X1) = X0 )
      | ~ sP0(X0) ),
    inference(rectify,[],[f47]) ).

fof(f47,plain,
    ! [X0] :
      ( ? [X6] :
          ( function(X6)
          & ! [X7] :
              ( apply(X6,X7) = singleton(X7)
              | ~ in(X7,X0) )
          & relation(X6)
          & relation_dom(X6) = X0 )
      | ~ sP0(X0) ),
    inference(nnf_transformation,[],[f42]) ).

fof(f179,plain,
    ( ~ relation(sK2(sK11))
    | spl13_4 ),
    inference(avatar_component_clause,[],[f177]) ).

fof(f177,plain,
    ( spl13_4
  <=> relation(sK2(sK11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).

fof(f184,plain,
    spl13_3,
    inference(avatar_contradiction_clause,[],[f183]) ).

fof(f183,plain,
    ( $false
    | spl13_3 ),
    inference(subsumption_resolution,[],[f182,f149]) ).

fof(f182,plain,
    ( ~ sP0(sK11)
    | spl13_3 ),
    inference(resolution,[],[f175,f77]) ).

fof(f77,plain,
    ! [X0] :
      ( function(sK2(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f175,plain,
    ( ~ function(sK2(sK11))
    | spl13_3 ),
    inference(avatar_component_clause,[],[f173]) ).

fof(f173,plain,
    ( spl13_3
  <=> function(sK2(sK11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).

fof(f180,plain,
    ( ~ spl13_3
    | ~ spl13_4
    | ~ spl13_2 ),
    inference(avatar_split_clause,[],[f171,f141,f177,f173]) ).

fof(f141,plain,
    ( spl13_2
  <=> in(sK12(sK2(sK11)),sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).

fof(f171,plain,
    ( ~ relation(sK2(sK11))
    | ~ function(sK2(sK11))
    | ~ spl13_2 ),
    inference(subsumption_resolution,[],[f170,f143]) ).

fof(f143,plain,
    ( in(sK12(sK2(sK11)),sK11)
    | ~ spl13_2 ),
    inference(avatar_component_clause,[],[f141]) ).

fof(f170,plain,
    ( ~ relation(sK2(sK11))
    | ~ function(sK2(sK11))
    | ~ in(sK12(sK2(sK11)),sK11) ),
    inference(equality_resolution,[],[f169]) ).

fof(f169,plain,
    ! [X0] :
      ( sK11 != X0
      | ~ relation(sK2(X0))
      | ~ function(sK2(X0))
      | ~ in(sK12(sK2(X0)),X0) ),
    inference(subsumption_resolution,[],[f168,f149]) ).

fof(f168,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | ~ function(sK2(X0))
      | ~ relation(sK2(X0))
      | ~ in(sK12(sK2(X0)),X0)
      | sK11 != X0 ),
    inference(superposition,[],[f167,f74]) ).

fof(f74,plain,
    ! [X0] :
      ( relation_dom(sK2(X0)) = X0
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f167,plain,
    ! [X0] :
      ( relation_dom(sK2(X0)) != sK11
      | ~ in(sK12(sK2(X0)),X0)
      | ~ function(sK2(X0))
      | ~ relation(sK2(X0)) ),
    inference(trivial_inequality_removal,[],[f166]) ).

fof(f166,plain,
    ! [X0] :
      ( ~ relation(sK2(X0))
      | relation_dom(sK2(X0)) != sK11
      | ~ in(sK12(sK2(X0)),X0)
      | ~ function(sK2(X0))
      | singleton(sK12(sK2(X0))) != singleton(sK12(sK2(X0))) ),
    inference(superposition,[],[f101,f165]) ).

fof(f165,plain,
    ! [X2,X0] :
      ( singleton(X2) = apply(sK2(X0),X2)
      | ~ in(X2,X0) ),
    inference(subsumption_resolution,[],[f76,f149]) ).

fof(f76,plain,
    ! [X2,X0] :
      ( singleton(X2) = apply(sK2(X0),X2)
      | ~ sP0(X0)
      | ~ in(X2,X0) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f101,plain,
    ! [X1] :
      ( singleton(sK12(X1)) != apply(X1,sK12(X1))
      | ~ relation(X1)
      | relation_dom(X1) != sK11
      | ~ function(X1) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X1] :
      ( ~ function(X1)
      | relation_dom(X1) != sK11
      | ( singleton(sK12(X1)) != apply(X1,sK12(X1))
        & in(sK12(X1),sK11) )
      | ~ relation(X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f41,f66,f65]) ).

fof(f65,plain,
    ( ? [X0] :
      ! [X1] :
        ( ~ function(X1)
        | relation_dom(X1) != X0
        | ? [X2] :
            ( apply(X1,X2) != singleton(X2)
            & in(X2,X0) )
        | ~ relation(X1) )
   => ! [X1] :
        ( ~ function(X1)
        | relation_dom(X1) != sK11
        | ? [X2] :
            ( apply(X1,X2) != singleton(X2)
            & in(X2,sK11) )
        | ~ relation(X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f66,plain,
    ! [X1] :
      ( ? [X2] :
          ( apply(X1,X2) != singleton(X2)
          & in(X2,sK11) )
     => ( singleton(sK12(X1)) != apply(X1,sK12(X1))
        & in(sK12(X1),sK11) ) ),
    introduced(choice_axiom,[]) ).

fof(f41,plain,
    ? [X0] :
    ! [X1] :
      ( ~ function(X1)
      | relation_dom(X1) != X0
      | ? [X2] :
          ( apply(X1,X2) != singleton(X2)
          & in(X2,X0) )
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
      ? [X1] :
        ( ! [X2] :
            ( in(X2,X0)
           => apply(X1,X2) = singleton(X2) )
        & function(X1)
        & relation_dom(X1) = X0
        & relation(X1) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0] :
    ? [X1] :
      ( ! [X2] :
          ( in(X2,X0)
         => apply(X1,X2) = singleton(X2) )
      & function(X1)
      & relation_dom(X1) = X0
      & relation(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_funct_1__e16_22__wellord2) ).

fof(f152,plain,
    spl13_1,
    inference(avatar_contradiction_clause,[],[f151]) ).

fof(f151,plain,
    ( $false
    | spl13_1 ),
    inference(resolution,[],[f149,f139]) ).

fof(f139,plain,
    ( ~ sP0(sK11)
    | spl13_1 ),
    inference(avatar_component_clause,[],[f137]) ).

fof(f137,plain,
    ( spl13_1
  <=> sP0(sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).

fof(f144,plain,
    ( ~ spl13_1
    | spl13_2 ),
    inference(avatar_split_clause,[],[f135,f141,f137]) ).

fof(f135,plain,
    ( in(sK12(sK2(sK11)),sK11)
    | ~ sP0(sK11) ),
    inference(equality_resolution,[],[f134]) ).

fof(f134,plain,
    ! [X5] :
      ( sK11 != X5
      | ~ sP0(X5)
      | in(sK12(sK2(X5)),sK11) ),
    inference(subsumption_resolution,[],[f133,f77]) ).

fof(f133,plain,
    ! [X5] :
      ( ~ function(sK2(X5))
      | ~ sP0(X5)
      | sK11 != X5
      | in(sK12(sK2(X5)),sK11) ),
    inference(subsumption_resolution,[],[f131,f75]) ).

fof(f131,plain,
    ! [X5] :
      ( in(sK12(sK2(X5)),sK11)
      | sK11 != X5
      | ~ relation(sK2(X5))
      | ~ function(sK2(X5))
      | ~ sP0(X5) ),
    inference(superposition,[],[f100,f74]) ).

fof(f100,plain,
    ! [X1] :
      ( relation_dom(X1) != sK11
      | ~ relation(X1)
      | ~ function(X1)
      | in(sK12(X1),sK11) ),
    inference(cnf_transformation,[],[f67]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEU284+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 15:04:18 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 1.58/0.56  % (18921)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)
% 1.58/0.58  % (18921)Refutation not found, incomplete strategy% (18921)------------------------------
% 1.58/0.58  % (18921)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.58  % (18913)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)
% 1.58/0.58  % (18909)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)
% 1.58/0.58  % (18909)Refutation not found, incomplete strategy% (18909)------------------------------
% 1.58/0.58  % (18909)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.58  % (18925)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.58/0.59  % (18908)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.58/0.59  % (18909)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.59  % (18909)Termination reason: Refutation not found, incomplete strategy
% 1.58/0.59  
% 1.58/0.59  % (18909)Memory used [KB]: 5884
% 1.58/0.59  % (18909)Time elapsed: 0.155 s
% 1.58/0.59  % (18909)Instructions burned: 2 (million)
% 1.58/0.59  % (18909)------------------------------
% 1.58/0.59  % (18909)------------------------------
% 1.58/0.59  % (18921)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.59  % (18921)Termination reason: Refutation not found, incomplete strategy
% 1.58/0.59  
% 1.58/0.59  % (18921)Memory used [KB]: 6012
% 1.58/0.59  % (18921)Time elapsed: 0.147 s
% 1.58/0.59  % (18921)Instructions burned: 6 (million)
% 1.58/0.59  % (18921)------------------------------
% 1.58/0.59  % (18921)------------------------------
% 1.58/0.59  % (18919)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)
% 1.58/0.59  % (18920)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)
% 1.58/0.59  % (18929)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)
% 1.58/0.59  % (18910)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)
% 1.58/0.59  % (18925)Instruction limit reached!
% 1.58/0.59  % (18925)------------------------------
% 1.58/0.59  % (18925)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.59  % (18925)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.59  % (18925)Termination reason: Unknown
% 1.58/0.59  % (18925)Termination phase: Finite model building preprocessing
% 1.58/0.59  
% 1.58/0.59  % (18925)Memory used [KB]: 1407
% 1.58/0.59  % (18925)Time elapsed: 0.004 s
% 1.58/0.59  % (18925)Instructions burned: 3 (million)
% 1.58/0.59  % (18925)------------------------------
% 1.58/0.59  % (18925)------------------------------
% 1.58/0.59  % (18910)Instruction limit reached!
% 1.58/0.59  % (18910)------------------------------
% 1.58/0.59  % (18910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.59  % (18910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.59  % (18910)Termination reason: Unknown
% 1.58/0.59  % (18910)Termination phase: Saturation
% 1.58/0.59  
% 1.58/0.59  % (18910)Memory used [KB]: 1407
% 1.58/0.59  % (18910)Time elapsed: 0.004 s
% 1.58/0.59  % (18910)Instructions burned: 3 (million)
% 1.58/0.59  % (18910)------------------------------
% 1.58/0.59  % (18910)------------------------------
% 1.58/0.59  % (18917)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)
% 1.58/0.60  % (18917)Refutation not found, incomplete strategy% (18917)------------------------------
% 1.58/0.60  % (18917)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.60  % (18917)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.60  % (18917)Termination reason: Refutation not found, incomplete strategy
% 1.58/0.60  
% 1.58/0.60  % (18917)Memory used [KB]: 5884
% 1.58/0.60  % (18917)Time elapsed: 0.162 s
% 1.58/0.60  % (18917)Instructions burned: 3 (million)
% 1.58/0.60  % (18917)------------------------------
% 1.58/0.60  % (18917)------------------------------
% 1.58/0.60  % (18914)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)
% 1.58/0.60  % (18926)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)
% 1.58/0.60  % (18913)Instruction limit reached!
% 1.58/0.60  % (18913)------------------------------
% 1.58/0.60  % (18913)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.60  % (18913)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.60  % (18913)Termination reason: Unknown
% 1.58/0.60  % (18913)Termination phase: Saturation
% 1.58/0.60  
% 1.58/0.60  % (18913)Memory used [KB]: 1663
% 1.58/0.60  % (18913)Time elapsed: 0.163 s
% 1.58/0.60  % (18913)Instructions burned: 15 (million)
% 1.58/0.60  % (18913)------------------------------
% 1.58/0.60  % (18913)------------------------------
% 1.58/0.60  % (18914)First to succeed.
% 1.58/0.61  % (18924)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)
% 1.58/0.61  % (18932)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)
% 1.58/0.61  % (18931)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)
% 1.58/0.61  % (18931)Refutation not found, incomplete strategy% (18931)------------------------------
% 1.58/0.61  % (18931)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.61  % (18931)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.61  % (18931)Termination reason: Refutation not found, incomplete strategy
% 1.58/0.61  
% 1.58/0.61  % (18931)Memory used [KB]: 1407
% 1.58/0.61  % (18931)Time elapsed: 0.132 s
% 1.58/0.61  % (18931)Instructions burned: 3 (million)
% 1.58/0.61  % (18931)------------------------------
% 1.58/0.61  % (18931)------------------------------
% 1.58/0.61  % (18930)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)
% 1.58/0.61  % (18920)Refutation not found, incomplete strategy% (18920)------------------------------
% 1.58/0.61  % (18920)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.61  % (18920)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.61  % (18920)Termination reason: Refutation not found, incomplete strategy
% 1.58/0.61  
% 1.58/0.61  % (18920)Memory used [KB]: 1535
% 1.58/0.61  % (18920)Time elapsed: 0.186 s
% 1.58/0.61  % (18920)Instructions burned: 3 (million)
% 1.58/0.61  % (18920)------------------------------
% 1.58/0.61  % (18920)------------------------------
% 1.58/0.61  % (18918)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)
% 1.58/0.62  % (18919)Refutation not found, incomplete strategy% (18919)------------------------------
% 1.58/0.62  % (18919)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.62  % (18919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.62  % (18919)Termination reason: Refutation not found, incomplete strategy
% 1.58/0.62  
% 1.58/0.62  % (18919)Memory used [KB]: 6012
% 1.58/0.62  % (18919)Time elapsed: 0.188 s
% 1.58/0.62  % (18919)Instructions burned: 6 (million)
% 1.58/0.62  % (18919)------------------------------
% 1.58/0.62  % (18919)------------------------------
% 1.58/0.62  % (18912)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)
% 1.58/0.62  % (18918)Refutation not found, incomplete strategy% (18918)------------------------------
% 1.58/0.62  % (18918)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.62  % (18918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.62  % (18918)Termination reason: Refutation not found, incomplete strategy
% 1.58/0.62  
% 1.58/0.62  % (18918)Memory used [KB]: 6012
% 1.58/0.62  % (18918)Time elapsed: 0.186 s
% 1.58/0.62  % (18918)Instructions burned: 3 (million)
% 1.58/0.62  % (18918)------------------------------
% 1.58/0.62  % (18918)------------------------------
% 1.58/0.62  % (18911)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)
% 1.58/0.62  % (18926)Instruction limit reached!
% 1.58/0.62  % (18926)------------------------------
% 1.58/0.62  % (18926)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.62  % (18926)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.62  % (18926)Termination reason: Unknown
% 1.58/0.62  % (18926)Termination phase: Preprocessing 3
% 1.58/0.62  
% 1.58/0.62  % (18926)Memory used [KB]: 1407
% 1.58/0.62  % (18926)Time elapsed: 0.003 s
% 1.58/0.62  % (18926)Instructions burned: 2 (million)
% 1.58/0.62  % (18926)------------------------------
% 1.58/0.62  % (18926)------------------------------
% 1.58/0.62  % (18916)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)
% 1.58/0.62  % (18908)Also succeeded, but the first one will report.
% 1.58/0.62  % (18914)Refutation found. Thanks to Tanya!
% 1.58/0.62  % SZS status Theorem for theBenchmark
% 1.58/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 1.58/0.62  % (18914)------------------------------
% 1.58/0.62  % (18914)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.62  % (18914)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.62  % (18914)Termination reason: Refutation
% 1.58/0.62  
% 1.58/0.62  % (18914)Memory used [KB]: 6012
% 1.58/0.62  % (18914)Time elapsed: 0.180 s
% 1.58/0.62  % (18914)Instructions burned: 5 (million)
% 1.58/0.62  % (18914)------------------------------
% 1.58/0.62  % (18914)------------------------------
% 1.58/0.62  % (18907)Success in time 0.259 s
%------------------------------------------------------------------------------