TSTP Solution File: SEU144+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU144+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 : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:26:52 EDT 2022

% Result   : Theorem 1.92s 0.59s
% Output   : Refutation 1.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   59 (   6 unt;   0 def)
%            Number of atoms       :  180 (  39 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  199 (  78   ~;  82   |;  23   &)
%                                         (  10 <=>;   5  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   83 (  71   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1343,plain,
    $false,
    inference(avatar_sat_refutation,[],[f357,f358,f1096,f1342]) ).

fof(f1342,plain,
    ( ~ spl15_1
    | spl15_2 ),
    inference(avatar_contradiction_clause,[],[f1341]) ).

fof(f1341,plain,
    ( $false
    | ~ spl15_1
    | spl15_2 ),
    inference(subsumption_resolution,[],[f1329,f352]) ).

fof(f352,plain,
    ( in(sK8,sK7)
    | ~ spl15_1 ),
    inference(avatar_component_clause,[],[f350]) ).

fof(f350,plain,
    ( spl15_1
  <=> in(sK8,sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).

fof(f1329,plain,
    ( ~ in(sK8,sK7)
    | spl15_2 ),
    inference(resolution,[],[f1328,f355]) ).

fof(f355,plain,
    ( ~ subset(sF14,sK7)
    | spl15_2 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f354,plain,
    ( spl15_2
  <=> subset(sF14,sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).

fof(f1328,plain,
    ! [X1] :
      ( subset(sF14,X1)
      | ~ in(sK8,X1) ),
    inference(duplicate_literal_removal,[],[f1324]) ).

fof(f1324,plain,
    ! [X1] :
      ( subset(sF14,X1)
      | subset(sF14,X1)
      | ~ in(sK8,X1) ),
    inference(superposition,[],[f218,f572]) ).

fof(f572,plain,
    ! [X2] :
      ( sK2(X2,sF14) = sK8
      | subset(sF14,X2) ),
    inference(resolution,[],[f562,f217]) ).

fof(f217,plain,
    ! [X0,X1] :
      ( in(sK2(X0,X1),X1)
      | subset(X1,X0) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( ( subset(X1,X0)
        | ( ~ in(sK2(X0,X1),X0)
          & in(sK2(X0,X1),X1) ) )
      & ( ! [X3] :
            ( in(X3,X0)
            | ~ in(X3,X1) )
        | ~ subset(X1,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f139,f140]) ).

fof(f140,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ in(X2,X0)
          & in(X2,X1) )
     => ( ~ in(sK2(X0,X1),X0)
        & in(sK2(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f139,plain,
    ! [X0,X1] :
      ( ( subset(X1,X0)
        | ? [X2] :
            ( ~ in(X2,X0)
            & in(X2,X1) ) )
      & ( ! [X3] :
            ( in(X3,X0)
            | ~ in(X3,X1) )
        | ~ subset(X1,X0) ) ),
    inference(rectify,[],[f138]) ).

fof(f138,plain,
    ! [X0,X1] :
      ( ( subset(X1,X0)
        | ? [X2] :
            ( ~ in(X2,X0)
            & in(X2,X1) ) )
      & ( ! [X2] :
            ( in(X2,X0)
            | ~ in(X2,X1) )
        | ~ subset(X1,X0) ) ),
    inference(nnf_transformation,[],[f113]) ).

fof(f113,plain,
    ! [X0,X1] :
      ( subset(X1,X0)
    <=> ! [X2] :
          ( in(X2,X0)
          | ~ in(X2,X1) ) ),
    inference(ennf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( in(X2,X1)
         => in(X2,X0) )
    <=> subset(X1,X0) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X1,X0] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).

fof(f562,plain,
    ! [X0] :
      ( ~ in(X0,sF14)
      | sK8 = X0 ),
    inference(superposition,[],[f333,f346]) ).

fof(f346,plain,
    sF14 = unordered_pair(sK8,sK8),
    introduced(function_definition,[]) ).

fof(f333,plain,
    ! [X3,X0] :
      ( ~ in(X3,unordered_pair(X0,X0))
      | X0 = X3 ),
    inference(equality_resolution,[],[f305]) ).

fof(f305,plain,
    ! [X3,X0,X1] :
      ( X0 = X3
      | ~ in(X3,X1)
      | unordered_pair(X0,X0) != X1 ),
    inference(definition_unfolding,[],[f212,f266]) ).

fof(f266,plain,
    ! [X0] : singleton(X0) = unordered_pair(X0,X0),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,axiom,
    ! [X0] : singleton(X0) = unordered_pair(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t69_enumset1) ).

fof(f212,plain,
    ! [X3,X0,X1] :
      ( X0 = X3
      | ~ in(X3,X1)
      | singleton(X0) != X1 ),
    inference(cnf_transformation,[],[f137]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( ( singleton(X0) = X1
        | ( ( sK1(X0,X1) != X0
            | ~ in(sK1(X0,X1),X1) )
          & ( sK1(X0,X1) = X0
            | in(sK1(X0,X1),X1) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X1)
              | X0 != X3 )
            & ( X0 = X3
              | ~ in(X3,X1) ) )
        | singleton(X0) != X1 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f135,f136]) ).

fof(f136,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( X0 != X2
            | ~ in(X2,X1) )
          & ( X0 = X2
            | in(X2,X1) ) )
     => ( ( sK1(X0,X1) != X0
          | ~ in(sK1(X0,X1),X1) )
        & ( sK1(X0,X1) = X0
          | in(sK1(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f135,plain,
    ! [X0,X1] :
      ( ( singleton(X0) = X1
        | ? [X2] :
            ( ( X0 != X2
              | ~ in(X2,X1) )
            & ( X0 = X2
              | in(X2,X1) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X1)
              | X0 != X3 )
            & ( X0 = X3
              | ~ in(X3,X1) ) )
        | singleton(X0) != X1 ) ),
    inference(rectify,[],[f134]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( ( singleton(X0) = X1
        | ? [X2] :
            ( ( X0 != X2
              | ~ in(X2,X1) )
            & ( X0 = X2
              | in(X2,X1) ) ) )
      & ( ! [X2] :
            ( ( in(X2,X1)
              | X0 != X2 )
            & ( X0 = X2
              | ~ in(X2,X1) ) )
        | singleton(X0) != X1 ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( singleton(X0) = X1
    <=> ! [X2] :
          ( in(X2,X1)
        <=> X0 = X2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).

fof(f218,plain,
    ! [X0,X1] :
      ( ~ in(sK2(X0,X1),X0)
      | subset(X1,X0) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f1096,plain,
    ( spl15_1
    | ~ spl15_2 ),
    inference(avatar_contradiction_clause,[],[f1095]) ).

fof(f1095,plain,
    ( $false
    | spl15_1
    | ~ spl15_2 ),
    inference(subsumption_resolution,[],[f1094,f374]) ).

fof(f374,plain,
    in(sK8,sF14),
    inference(superposition,[],[f332,f346]) ).

fof(f332,plain,
    ! [X3] : in(X3,unordered_pair(X3,X3)),
    inference(equality_resolution,[],[f331]) ).

fof(f331,plain,
    ! [X3,X1] :
      ( in(X3,X1)
      | unordered_pair(X3,X3) != X1 ),
    inference(equality_resolution,[],[f304]) ).

fof(f304,plain,
    ! [X3,X0,X1] :
      ( in(X3,X1)
      | X0 != X3
      | unordered_pair(X0,X0) != X1 ),
    inference(definition_unfolding,[],[f213,f266]) ).

fof(f213,plain,
    ! [X3,X0,X1] :
      ( in(X3,X1)
      | X0 != X3
      | singleton(X0) != X1 ),
    inference(cnf_transformation,[],[f137]) ).

fof(f1094,plain,
    ( ~ in(sK8,sF14)
    | spl15_1
    | ~ spl15_2 ),
    inference(resolution,[],[f1078,f351]) ).

fof(f351,plain,
    ( ~ in(sK8,sK7)
    | spl15_1 ),
    inference(avatar_component_clause,[],[f350]) ).

fof(f1078,plain,
    ( ! [X37] :
        ( in(X37,sK7)
        | ~ in(X37,sF14) )
    | ~ spl15_2 ),
    inference(resolution,[],[f216,f356]) ).

fof(f356,plain,
    ( subset(sF14,sK7)
    | ~ spl15_2 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f216,plain,
    ! [X3,X0,X1] :
      ( ~ subset(X1,X0)
      | ~ in(X3,X1)
      | in(X3,X0) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f358,plain,
    ( ~ spl15_1
    | ~ spl15_2 ),
    inference(avatar_split_clause,[],[f347,f354,f350]) ).

fof(f347,plain,
    ( ~ subset(sF14,sK7)
    | ~ in(sK8,sK7) ),
    inference(definition_folding,[],[f317,f346]) ).

fof(f317,plain,
    ( ~ subset(unordered_pair(sK8,sK8),sK7)
    | ~ in(sK8,sK7) ),
    inference(definition_unfolding,[],[f269,f266]) ).

fof(f269,plain,
    ( ~ subset(singleton(sK8),sK7)
    | ~ in(sK8,sK7) ),
    inference(cnf_transformation,[],[f177]) ).

fof(f177,plain,
    ( ( ~ subset(singleton(sK8),sK7)
      | ~ in(sK8,sK7) )
    & ( subset(singleton(sK8),sK7)
      | in(sK8,sK7) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f175,f176]) ).

fof(f176,plain,
    ( ? [X0,X1] :
        ( ( ~ subset(singleton(X1),X0)
          | ~ in(X1,X0) )
        & ( subset(singleton(X1),X0)
          | in(X1,X0) ) )
   => ( ( ~ subset(singleton(sK8),sK7)
        | ~ in(sK8,sK7) )
      & ( subset(singleton(sK8),sK7)
        | in(sK8,sK7) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f175,plain,
    ? [X0,X1] :
      ( ( ~ subset(singleton(X1),X0)
        | ~ in(X1,X0) )
      & ( subset(singleton(X1),X0)
        | in(X1,X0) ) ),
    inference(nnf_transformation,[],[f124]) ).

fof(f124,plain,
    ? [X0,X1] :
      ( in(X1,X0)
    <~> subset(singleton(X1),X0) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,plain,
    ~ ! [X0,X1] :
        ( in(X1,X0)
      <=> subset(singleton(X1),X0) ),
    inference(rectify,[],[f30]) ).

fof(f30,negated_conjecture,
    ~ ! [X1,X0] :
        ( in(X0,X1)
      <=> subset(singleton(X0),X1) ),
    inference(negated_conjecture,[],[f29]) ).

fof(f29,conjecture,
    ! [X1,X0] :
      ( in(X0,X1)
    <=> subset(singleton(X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_zfmisc_1) ).

fof(f357,plain,
    ( spl15_1
    | spl15_2 ),
    inference(avatar_split_clause,[],[f348,f354,f350]) ).

fof(f348,plain,
    ( subset(sF14,sK7)
    | in(sK8,sK7) ),
    inference(definition_folding,[],[f318,f346]) ).

fof(f318,plain,
    ( subset(unordered_pair(sK8,sK8),sK7)
    | in(sK8,sK7) ),
    inference(definition_unfolding,[],[f268,f266]) ).

fof(f268,plain,
    ( subset(singleton(sK8),sK7)
    | in(sK8,sK7) ),
    inference(cnf_transformation,[],[f177]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SEU144+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n007.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 14:29:01 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.48  % (12466)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)
% 0.20/0.49  % (12450)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)
% 0.20/0.50  % (12458)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)
% 0.20/0.51  % (12458)Instruction limit reached!
% 0.20/0.51  % (12458)------------------------------
% 0.20/0.51  % (12458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (12453)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)
% 0.20/0.51  % (12458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (12458)Termination reason: Unknown
% 0.20/0.51  % (12458)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (12458)Memory used [KB]: 6140
% 0.20/0.51  % (12458)Time elapsed: 0.120 s
% 0.20/0.51  % (12458)Instructions burned: 8 (million)
% 0.20/0.51  % (12458)------------------------------
% 0.20/0.51  % (12458)------------------------------
% 0.20/0.52  % (12465)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)
% 0.20/0.52  % (12451)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)
% 0.20/0.52  % (12443)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.52  % (12447)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)
% 0.20/0.52  % (12444)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)
% 0.20/0.52  % (12459)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)
% 0.20/0.53  % (12449)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)
% 0.20/0.53  % (12446)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)
% 0.20/0.53  % (12471)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)
% 0.20/0.53  % (12455)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)
% 0.20/0.53  % (12448)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)
% 0.20/0.53  % (12445)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)
% 0.20/0.53  % (12454)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)
% 0.20/0.53  % (12452)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)
% 0.20/0.53  % (12450)Instruction limit reached!
% 0.20/0.53  % (12450)------------------------------
% 0.20/0.53  % (12450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (12445)Instruction limit reached!
% 0.20/0.53  % (12445)------------------------------
% 0.20/0.53  % (12445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (12445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (12445)Termination reason: Unknown
% 0.20/0.53  % (12445)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (12445)Memory used [KB]: 1535
% 0.20/0.53  % (12445)Time elapsed: 0.003 s
% 0.20/0.53  % (12445)Instructions burned: 5 (million)
% 0.20/0.53  % (12445)------------------------------
% 0.20/0.53  % (12445)------------------------------
% 0.20/0.53  % (12450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (12450)Termination reason: Unknown
% 0.20/0.53  % (12450)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (12450)Memory used [KB]: 6524
% 0.20/0.53  % (12450)Time elapsed: 0.121 s
% 0.20/0.53  % (12450)Instructions burned: 39 (million)
% 0.20/0.53  % (12450)------------------------------
% 0.20/0.53  % (12450)------------------------------
% 0.20/0.54  % (12454)Instruction limit reached!
% 0.20/0.54  % (12454)------------------------------
% 0.20/0.54  % (12454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (12454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (12454)Termination reason: Unknown
% 0.20/0.54  % (12454)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (12454)Memory used [KB]: 6140
% 0.20/0.54  % (12454)Time elapsed: 0.005 s
% 0.20/0.54  % (12454)Instructions burned: 7 (million)
% 0.20/0.54  % (12454)------------------------------
% 0.20/0.54  % (12454)------------------------------
% 0.20/0.54  % (12457)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)
% 0.20/0.54  % (12457)Instruction limit reached!
% 0.20/0.54  % (12457)------------------------------
% 0.20/0.54  % (12457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (12457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (12457)Termination reason: Unknown
% 0.20/0.54  % (12457)Termination phase: Function definition elimination
% 0.20/0.54  
% 0.20/0.54  % (12457)Memory used [KB]: 1535
% 0.20/0.54  % (12457)Time elapsed: 0.003 s
% 0.20/0.54  % (12457)Instructions burned: 4 (million)
% 0.20/0.54  % (12457)------------------------------
% 0.20/0.54  % (12457)------------------------------
% 0.20/0.54  % (12453)Instruction limit reached!
% 0.20/0.54  % (12453)------------------------------
% 0.20/0.54  % (12453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (12463)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)
% 0.20/0.54  % (12470)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)
% 0.20/0.54  % (12464)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)
% 0.20/0.54  % (12468)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)
% 0.20/0.54  % (12466)Instruction limit reached!
% 0.20/0.54  % (12466)------------------------------
% 0.20/0.54  % (12466)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (12466)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (12466)Termination reason: Unknown
% 0.20/0.54  % (12466)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (12466)Memory used [KB]: 2046
% 0.20/0.54  % (12466)Time elapsed: 0.138 s
% 0.20/0.54  % (12466)Instructions burned: 45 (million)
% 0.20/0.54  % (12466)------------------------------
% 0.20/0.54  % (12466)------------------------------
% 0.20/0.54  % (12461)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)
% 0.20/0.54  % (12469)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)
% 0.20/0.55  % (12462)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)
% 0.20/0.55  % (12453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (12453)Termination reason: Unknown
% 0.20/0.55  % (12453)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (12453)Memory used [KB]: 6268
% 0.20/0.55  % (12453)Time elapsed: 0.133 s
% 0.20/0.55  % (12453)Instructions burned: 12 (million)
% 0.20/0.55  % (12453)------------------------------
% 0.20/0.55  % (12453)------------------------------
% 0.20/0.55  % (12461)Instruction limit reached!
% 0.20/0.55  % (12461)------------------------------
% 0.20/0.55  % (12461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (12461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (12461)Termination reason: Unknown
% 0.20/0.55  % (12461)Termination phase: Preprocessing 1
% 0.20/0.55  
% 0.20/0.55  % (12461)Memory used [KB]: 1407
% 0.20/0.55  % (12461)Time elapsed: 0.003 s
% 0.20/0.55  % (12461)Instructions burned: 2 (million)
% 0.20/0.55  % (12461)------------------------------
% 0.20/0.55  % (12461)------------------------------
% 0.20/0.55  % (12456)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)
% 0.20/0.55  % (12447)Instruction limit reached!
% 0.20/0.55  % (12447)------------------------------
% 0.20/0.55  % (12447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (12447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (12447)Termination reason: Unknown
% 0.20/0.55  % (12447)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (12447)Memory used [KB]: 6140
% 0.20/0.55  % (12447)Time elapsed: 0.149 s
% 0.20/0.55  % (12447)Instructions burned: 13 (million)
% 0.20/0.55  % (12447)------------------------------
% 0.20/0.55  % (12447)------------------------------
% 0.20/0.55  % (12471)Instruction limit reached!
% 0.20/0.55  % (12471)------------------------------
% 0.20/0.55  % (12471)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (12444)Instruction limit reached!
% 0.20/0.55  % (12444)------------------------------
% 0.20/0.55  % (12444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (12444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (12444)Termination reason: Unknown
% 0.20/0.55  % (12444)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (12444)Memory used [KB]: 6268
% 0.20/0.55  % (12444)Time elapsed: 0.147 s
% 0.20/0.55  % (12444)Instructions burned: 14 (million)
% 0.20/0.55  % (12444)------------------------------
% 0.20/0.55  % (12444)------------------------------
% 0.20/0.55  % (12472)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)
% 0.20/0.55  % (12467)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)
% 0.20/0.55  % (12455)Instruction limit reached!
% 0.20/0.55  % (12455)------------------------------
% 0.20/0.55  % (12455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (12455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (12471)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (12471)Termination reason: Unknown
% 0.20/0.55  % (12455)Termination reason: Unknown
% 0.20/0.55  % (12471)Termination phase: Saturation
% 0.20/0.55  % (12455)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  
% 0.20/0.55  % (12471)Memory used [KB]: 6140
% 0.20/0.55  % (12455)Memory used [KB]: 1791
% 0.20/0.55  % (12471)Time elapsed: 0.160 s
% 0.20/0.55  % (12455)Time elapsed: 0.141 s
% 0.20/0.55  % (12471)Instructions burned: 8 (million)
% 0.20/0.55  % (12455)Instructions burned: 17 (million)
% 0.20/0.55  % (12455)------------------------------
% 0.20/0.55  % (12455)------------------------------
% 0.20/0.55  % (12471)------------------------------
% 0.20/0.55  % (12471)------------------------------
% 0.20/0.55  % (12460)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.56  % (12448)Instruction limit reached!
% 0.20/0.56  % (12448)------------------------------
% 0.20/0.56  % (12448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (12460)Instruction limit reached!
% 0.20/0.57  % (12460)------------------------------
% 0.20/0.57  % (12460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (12460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (12460)Termination reason: Unknown
% 0.20/0.57  % (12460)Termination phase: Property scanning
% 0.20/0.57  
% 0.20/0.57  % (12460)Memory used [KB]: 1535
% 0.20/0.57  % (12460)Time elapsed: 0.004 s
% 0.20/0.57  % (12460)Instructions burned: 3 (million)
% 0.20/0.57  % (12460)------------------------------
% 0.20/0.57  % (12460)------------------------------
% 0.20/0.57  % (12462)Instruction limit reached!
% 0.20/0.57  % (12462)------------------------------
% 0.20/0.57  % (12462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (12462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (12462)Termination reason: Unknown
% 0.20/0.57  % (12462)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (12462)Memory used [KB]: 6140
% 0.20/0.57  % (12462)Time elapsed: 0.151 s
% 0.20/0.57  % (12462)Instructions burned: 11 (million)
% 0.20/0.57  % (12462)------------------------------
% 0.20/0.57  % (12462)------------------------------
% 1.68/0.57  % (12448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.57  % (12448)Termination reason: Unknown
% 1.68/0.57  % (12448)Termination phase: Saturation
% 1.68/0.57  
% 1.68/0.57  % (12448)Memory used [KB]: 1663
% 1.68/0.57  % (12448)Time elapsed: 0.163 s
% 1.68/0.57  % (12448)Instructions burned: 16 (million)
% 1.68/0.57  % (12448)------------------------------
% 1.68/0.57  % (12448)------------------------------
% 1.68/0.58  % (12472)Instruction limit reached!
% 1.68/0.58  % (12472)------------------------------
% 1.68/0.58  % (12472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.58  % (12443)First to succeed.
% 1.68/0.59  % (12452)Instruction limit reached!
% 1.68/0.59  % (12452)------------------------------
% 1.68/0.59  % (12452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.59  % (12452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.59  % (12452)Termination reason: Unknown
% 1.68/0.59  % (12452)Termination phase: Saturation
% 1.68/0.59  
% 1.68/0.59  % (12452)Memory used [KB]: 6524
% 1.68/0.59  % (12452)Time elapsed: 0.182 s
% 1.68/0.59  % (12452)Instructions burned: 33 (million)
% 1.68/0.59  % (12452)------------------------------
% 1.68/0.59  % (12452)------------------------------
% 1.68/0.59  % (12463)Instruction limit reached!
% 1.68/0.59  % (12463)------------------------------
% 1.68/0.59  % (12463)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.59  % (12463)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.59  % (12463)Termination reason: Unknown
% 1.68/0.59  % (12463)Termination phase: Saturation
% 1.68/0.59  
% 1.68/0.59  % (12463)Memory used [KB]: 6268
% 1.68/0.59  % (12463)Time elapsed: 0.192 s
% 1.68/0.59  % (12463)Instructions burned: 32 (million)
% 1.68/0.59  % (12463)------------------------------
% 1.68/0.59  % (12463)------------------------------
% 1.92/0.59  % (12443)Refutation found. Thanks to Tanya!
% 1.92/0.59  % SZS status Theorem for theBenchmark
% 1.92/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.92/0.59  % (12443)------------------------------
% 1.92/0.59  % (12443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.59  % (12443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.59  % (12443)Termination reason: Refutation
% 1.92/0.59  
% 1.92/0.59  % (12443)Memory used [KB]: 6396
% 1.92/0.59  % (12443)Time elapsed: 0.173 s
% 1.92/0.59  % (12443)Instructions burned: 38 (million)
% 1.92/0.59  % (12443)------------------------------
% 1.92/0.59  % (12443)------------------------------
% 1.92/0.59  % (12442)Success in time 0.235 s
%------------------------------------------------------------------------------