TSTP Solution File: SEU238+3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SEU238+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n020.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 18:32:46 EDT 2022

% Result   : Theorem 2.41s 0.67s
% Output   : Refutation 2.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   87 (  13 unt;   0 def)
%            Number of atoms       :  324 (  37 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  384 ( 147   ~; 145   |;  59   &)
%                                         (  10 <=>;  23  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-1 aty)
%            Number of variables   :  108 (  94   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1047,plain,
    $false,
    inference(subsumption_resolution,[],[f1046,f211]) ).

fof(f211,plain,
    ! [X0,X1] :
      ( ~ in(X1,X0)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f145,plain,
    ! [X0,X1] :
      ( ~ in(X1,X0)
      | ~ in(X0,X1) ),
    inference(rectify,[],[f97]) ).

fof(f97,plain,
    ! [X1,X0] :
      ( ~ in(X0,X1)
      | ~ in(X1,X0) ),
    inference(ennf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( in(X1,X0)
     => ~ in(X0,X1) ),
    inference(rectify,[],[f1]) ).

fof(f1,axiom,
    ! [X1,X0] :
      ( in(X0,X1)
     => ~ in(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).

fof(f1046,plain,
    in(sK4,sK4),
    inference(forward_demodulation,[],[f1045,f712]) ).

fof(f712,plain,
    sK4 = succ(sK5),
    inference(backward_demodulation,[],[f267,f708]) ).

fof(f708,plain,
    sK4 = sF17,
    inference(resolution,[],[f707,f268]) ).

fof(f268,plain,
    ( ~ being_limit_ordinal(sK4)
    | sK4 = sF17 ),
    inference(definition_folding,[],[f197,f267]) ).

fof(f197,plain,
    ( ~ being_limit_ordinal(sK4)
    | sK4 = succ(sK5) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ( ( ( ~ being_limit_ordinal(sK4)
        & ! [X1] :
            ( succ(X1) != sK4
            | ~ ordinal(X1) ) )
      | ( being_limit_ordinal(sK4)
        & sK4 = succ(sK5)
        & ordinal(sK5) ) )
    & ordinal(sK4) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f132,f134,f133]) ).

fof(f133,plain,
    ( ? [X0] :
        ( ( ( ~ being_limit_ordinal(X0)
            & ! [X1] :
                ( succ(X1) != X0
                | ~ ordinal(X1) ) )
          | ( being_limit_ordinal(X0)
            & ? [X2] :
                ( succ(X2) = X0
                & ordinal(X2) ) ) )
        & ordinal(X0) )
   => ( ( ( ~ being_limit_ordinal(sK4)
          & ! [X1] :
              ( succ(X1) != sK4
              | ~ ordinal(X1) ) )
        | ( being_limit_ordinal(sK4)
          & ? [X2] :
              ( sK4 = succ(X2)
              & ordinal(X2) ) ) )
      & ordinal(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f134,plain,
    ( ? [X2] :
        ( sK4 = succ(X2)
        & ordinal(X2) )
   => ( sK4 = succ(sK5)
      & ordinal(sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f132,plain,
    ? [X0] :
      ( ( ( ~ being_limit_ordinal(X0)
          & ! [X1] :
              ( succ(X1) != X0
              | ~ ordinal(X1) ) )
        | ( being_limit_ordinal(X0)
          & ? [X2] :
              ( succ(X2) = X0
              & ordinal(X2) ) ) )
      & ordinal(X0) ),
    inference(rectify,[],[f113]) ).

fof(f113,plain,
    ? [X0] :
      ( ( ( ~ being_limit_ordinal(X0)
          & ! [X2] :
              ( succ(X2) != X0
              | ~ ordinal(X2) ) )
        | ( being_limit_ordinal(X0)
          & ? [X1] :
              ( succ(X1) = X0
              & ordinal(X1) ) ) )
      & ordinal(X0) ),
    inference(ennf_transformation,[],[f64]) ).

fof(f64,plain,
    ~ ! [X0] :
        ( ordinal(X0)
       => ( ~ ( being_limit_ordinal(X0)
              & ? [X1] :
                  ( succ(X1) = X0
                  & ordinal(X1) ) )
          & ~ ( ~ being_limit_ordinal(X0)
              & ! [X2] :
                  ( ordinal(X2)
                 => succ(X2) != X0 ) ) ) ),
    inference(rectify,[],[f50]) ).

fof(f50,negated_conjecture,
    ~ ! [X0] :
        ( ordinal(X0)
       => ( ~ ( being_limit_ordinal(X0)
              & ? [X1] :
                  ( succ(X1) = X0
                  & ordinal(X1) ) )
          & ~ ( ! [X1] :
                  ( ordinal(X1)
                 => succ(X1) != X0 )
              & ~ being_limit_ordinal(X0) ) ) ),
    inference(negated_conjecture,[],[f49]) ).

fof(f49,conjecture,
    ! [X0] :
      ( ordinal(X0)
     => ( ~ ( being_limit_ordinal(X0)
            & ? [X1] :
                ( succ(X1) = X0
                & ordinal(X1) ) )
        & ~ ( ! [X1] :
                ( ordinal(X1)
               => succ(X1) != X0 )
            & ~ being_limit_ordinal(X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t42_ordinal1) ).

fof(f707,plain,
    being_limit_ordinal(sK4),
    inference(subsumption_resolution,[],[f705,f192]) ).

fof(f192,plain,
    ordinal(sK4),
    inference(cnf_transformation,[],[f135]) ).

fof(f705,plain,
    ( being_limit_ordinal(sK4)
    | ~ ordinal(sK4) ),
    inference(duplicate_literal_removal,[],[f701]) ).

fof(f701,plain,
    ( ~ ordinal(sK4)
    | being_limit_ordinal(sK4)
    | being_limit_ordinal(sK4) ),
    inference(resolution,[],[f700,f207]) ).

fof(f207,plain,
    ! [X0] :
      ( ~ in(succ(sK8(X0)),X0)
      | ~ ordinal(X0)
      | being_limit_ordinal(X0) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f144,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ( ( ! [X1] :
              ( ~ ordinal(X1)
              | ~ in(X1,X0)
              | in(succ(X1),X0) )
          | ~ being_limit_ordinal(X0) )
        & ( being_limit_ordinal(X0)
          | ( ordinal(sK8(X0))
            & in(sK8(X0),X0)
            & ~ in(succ(sK8(X0)),X0) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f142,f143]) ).

fof(f143,plain,
    ! [X0] :
      ( ? [X2] :
          ( ordinal(X2)
          & in(X2,X0)
          & ~ in(succ(X2),X0) )
     => ( ordinal(sK8(X0))
        & in(sK8(X0),X0)
        & ~ in(succ(sK8(X0)),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f142,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ( ( ! [X1] :
              ( ~ ordinal(X1)
              | ~ in(X1,X0)
              | in(succ(X1),X0) )
          | ~ being_limit_ordinal(X0) )
        & ( being_limit_ordinal(X0)
          | ? [X2] :
              ( ordinal(X2)
              & in(X2,X0)
              & ~ in(succ(X2),X0) ) ) ) ),
    inference(rectify,[],[f141]) ).

fof(f141,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ( ( ! [X1] :
              ( ~ ordinal(X1)
              | ~ in(X1,X0)
              | in(succ(X1),X0) )
          | ~ being_limit_ordinal(X0) )
        & ( being_limit_ordinal(X0)
          | ? [X1] :
              ( ordinal(X1)
              & in(X1,X0)
              & ~ in(succ(X1),X0) ) ) ) ),
    inference(nnf_transformation,[],[f115]) ).

fof(f115,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ( ! [X1] :
            ( ~ ordinal(X1)
            | ~ in(X1,X0)
            | in(succ(X1),X0) )
      <=> being_limit_ordinal(X0) ) ),
    inference(flattening,[],[f114]) ).

fof(f114,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( in(succ(X1),X0)
            | ~ in(X1,X0)
            | ~ ordinal(X1) )
      <=> being_limit_ordinal(X0) )
      | ~ ordinal(X0) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f48,axiom,
    ! [X0] :
      ( ordinal(X0)
     => ( ! [X1] :
            ( ordinal(X1)
           => ( in(X1,X0)
             => in(succ(X1),X0) ) )
      <=> being_limit_ordinal(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t41_ordinal1) ).

fof(f700,plain,
    ( in(succ(sK8(sK4)),sK4)
    | being_limit_ordinal(sK4) ),
    inference(subsumption_resolution,[],[f699,f192]) ).

fof(f699,plain,
    ( in(succ(sK8(sK4)),sK4)
    | ~ ordinal(sK4)
    | being_limit_ordinal(sK4) ),
    inference(duplicate_literal_removal,[],[f697]) ).

fof(f697,plain,
    ( ~ ordinal(sK4)
    | being_limit_ordinal(sK4)
    | in(succ(sK8(sK4)),sK4)
    | being_limit_ordinal(sK4) ),
    inference(resolution,[],[f686,f209]) ).

fof(f209,plain,
    ! [X0] :
      ( ordinal(sK8(X0))
      | being_limit_ordinal(X0)
      | ~ ordinal(X0) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f686,plain,
    ( ~ ordinal(sK8(sK4))
    | in(succ(sK8(sK4)),sK4)
    | being_limit_ordinal(sK4) ),
    inference(resolution,[],[f684,f226]) ).

fof(f226,plain,
    ! [X0] :
      ( epsilon_transitive(succ(X0))
      | ~ ordinal(X0) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X0] :
      ( ( ordinal(succ(X0))
        & epsilon_connected(succ(X0))
        & epsilon_transitive(succ(X0))
        & ~ empty(succ(X0)) )
      | ~ ordinal(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( ordinal(X0)
     => ( ordinal(succ(X0))
        & epsilon_connected(succ(X0))
        & epsilon_transitive(succ(X0))
        & ~ empty(succ(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_ordinal1) ).

fof(f684,plain,
    ( ~ epsilon_transitive(succ(sK8(sK4)))
    | being_limit_ordinal(sK4)
    | in(succ(sK8(sK4)),sK4) ),
    inference(subsumption_resolution,[],[f682,f192]) ).

fof(f682,plain,
    ( ~ ordinal(sK4)
    | ~ epsilon_transitive(succ(sK8(sK4)))
    | being_limit_ordinal(sK4)
    | in(succ(sK8(sK4)),sK4) ),
    inference(resolution,[],[f681,f220]) ).

fof(f220,plain,
    ! [X0,X1] :
      ( ~ proper_subset(X0,X1)
      | ~ epsilon_transitive(X0)
      | ~ ordinal(X1)
      | in(X0,X1) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f119,plain,
    ! [X0] :
      ( ! [X1] :
          ( in(X0,X1)
          | ~ ordinal(X1)
          | ~ proper_subset(X0,X1) )
      | ~ epsilon_transitive(X0) ),
    inference(flattening,[],[f118]) ).

fof(f118,plain,
    ! [X0] :
      ( ! [X1] :
          ( in(X0,X1)
          | ~ proper_subset(X0,X1)
          | ~ ordinal(X1) )
      | ~ epsilon_transitive(X0) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,axiom,
    ! [X0] :
      ( epsilon_transitive(X0)
     => ! [X1] :
          ( ordinal(X1)
         => ( proper_subset(X0,X1)
           => in(X0,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_ordinal1) ).

fof(f681,plain,
    ( proper_subset(succ(sK8(sK4)),sK4)
    | being_limit_ordinal(sK4) ),
    inference(subsumption_resolution,[],[f680,f192]) ).

fof(f680,plain,
    ( ~ ordinal(sK4)
    | proper_subset(succ(sK8(sK4)),sK4)
    | being_limit_ordinal(sK4) ),
    inference(duplicate_literal_removal,[],[f678]) ).

fof(f678,plain,
    ( being_limit_ordinal(sK4)
    | proper_subset(succ(sK8(sK4)),sK4)
    | ~ ordinal(sK4)
    | being_limit_ordinal(sK4) ),
    inference(resolution,[],[f677,f209]) ).

fof(f677,plain,
    ( ~ ordinal(sK8(sK4))
    | being_limit_ordinal(sK4)
    | proper_subset(succ(sK8(sK4)),sK4) ),
    inference(subsumption_resolution,[],[f676,f195]) ).

fof(f195,plain,
    ! [X1] :
      ( succ(X1) != sK4
      | ~ ordinal(X1)
      | being_limit_ordinal(sK4) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f676,plain,
    ( proper_subset(succ(sK8(sK4)),sK4)
    | ~ ordinal(sK8(sK4))
    | being_limit_ordinal(sK4)
    | sK4 = succ(sK8(sK4)) ),
    inference(subsumption_resolution,[],[f674,f192]) ).

fof(f674,plain,
    ( sK4 = succ(sK8(sK4))
    | proper_subset(succ(sK8(sK4)),sK4)
    | ~ ordinal(sK4)
    | ~ ordinal(sK8(sK4))
    | being_limit_ordinal(sK4) ),
    inference(resolution,[],[f607,f208]) ).

fof(f208,plain,
    ! [X0] :
      ( in(sK8(X0),X0)
      | ~ ordinal(X0)
      | being_limit_ordinal(X0) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f607,plain,
    ! [X1] :
      ( ~ in(X1,sK4)
      | proper_subset(succ(X1),sK4)
      | succ(X1) = sK4
      | ~ ordinal(X1) ),
    inference(subsumption_resolution,[],[f606,f228]) ).

fof(f228,plain,
    ! [X0] :
      ( ordinal(succ(X0))
      | ~ ordinal(X0) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f606,plain,
    ! [X1] :
      ( ~ ordinal(succ(X1))
      | proper_subset(succ(X1),sK4)
      | succ(X1) = sK4
      | ~ in(X1,sK4)
      | ~ ordinal(X1) ),
    inference(subsumption_resolution,[],[f598,f192]) ).

fof(f598,plain,
    ! [X1] :
      ( succ(X1) = sK4
      | proper_subset(succ(X1),sK4)
      | ~ ordinal(X1)
      | ~ ordinal(sK4)
      | ~ in(X1,sK4)
      | ~ ordinal(succ(X1)) ),
    inference(resolution,[],[f576,f259]) ).

fof(f259,plain,
    ! [X0,X1] :
      ( ordinal_subset(succ(X0),X1)
      | ~ in(X0,X1)
      | ~ ordinal(X0)
      | ~ ordinal(X1) ),
    inference(cnf_transformation,[],[f164]) ).

fof(f164,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ! [X1] :
          ( ( ( in(X0,X1)
              | ~ ordinal_subset(succ(X0),X1) )
            & ( ordinal_subset(succ(X0),X1)
              | ~ in(X0,X1) ) )
          | ~ ordinal(X1) ) ),
    inference(nnf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ! [X1] :
          ( ( in(X0,X1)
          <=> ordinal_subset(succ(X0),X1) )
          | ~ ordinal(X1) ) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,axiom,
    ! [X0] :
      ( ordinal(X0)
     => ! [X1] :
          ( ordinal(X1)
         => ( in(X0,X1)
          <=> ordinal_subset(succ(X0),X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_ordinal1) ).

fof(f576,plain,
    ! [X6] :
      ( ~ ordinal_subset(X6,sK4)
      | ~ ordinal(X6)
      | sK4 = X6
      | proper_subset(X6,sK4) ),
    inference(resolution,[],[f406,f192]) ).

fof(f406,plain,
    ! [X2,X3] :
      ( ~ ordinal(X3)
      | proper_subset(X2,X3)
      | ~ ordinal_subset(X2,X3)
      | X2 = X3
      | ~ ordinal(X2) ),
    inference(resolution,[],[f241,f248]) ).

fof(f248,plain,
    ! [X0,X1] :
      ( ~ subset(X1,X0)
      | proper_subset(X1,X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f160]) ).

fof(f160,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ subset(X1,X0)
      | proper_subset(X1,X0) ),
    inference(rectify,[],[f106]) ).

fof(f106,plain,
    ! [X1,X0] :
      ( X0 = X1
      | ~ subset(X0,X1)
      | proper_subset(X0,X1) ),
    inference(flattening,[],[f105]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( proper_subset(X0,X1)
      | X0 = X1
      | ~ subset(X0,X1) ),
    inference(ennf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ( X0 != X1
        & subset(X0,X1) )
     => proper_subset(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f12]) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( ( X0 != X1
        & subset(X0,X1) )
    <=> proper_subset(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_xboole_0) ).

fof(f241,plain,
    ! [X0,X1] :
      ( subset(X1,X0)
      | ~ ordinal_subset(X1,X0)
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(cnf_transformation,[],[f157]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( ( ( subset(X1,X0)
          | ~ ordinal_subset(X1,X0) )
        & ( ordinal_subset(X1,X0)
          | ~ subset(X1,X0) ) )
      | ~ ordinal(X0)
      | ~ ordinal(X1) ),
    inference(nnf_transformation,[],[f103]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( ( subset(X1,X0)
      <=> ordinal_subset(X1,X0) )
      | ~ ordinal(X0)
      | ~ ordinal(X1) ),
    inference(flattening,[],[f102]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( ( subset(X1,X0)
      <=> ordinal_subset(X1,X0) )
      | ~ ordinal(X1)
      | ~ ordinal(X0) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ( ordinal(X1)
        & ordinal(X0) )
     => ( subset(X1,X0)
      <=> ordinal_subset(X1,X0) ) ),
    inference(rectify,[],[f38]) ).

fof(f38,axiom,
    ! [X1,X0] :
      ( ( ordinal(X0)
        & ordinal(X1) )
     => ( ordinal_subset(X0,X1)
      <=> subset(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r1_ordinal1) ).

fof(f267,plain,
    sF17 = succ(sK5),
    introduced(function_definition,[]) ).

fof(f1045,plain,
    in(succ(sK5),sK4),
    inference(subsumption_resolution,[],[f1040,f709]) ).

fof(f709,plain,
    ordinal(sK5),
    inference(resolution,[],[f707,f196]) ).

fof(f196,plain,
    ( ~ being_limit_ordinal(sK4)
    | ordinal(sK5) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f1040,plain,
    ( in(succ(sK5),sK4)
    | ~ ordinal(sK5) ),
    inference(resolution,[],[f711,f713]) ).

fof(f713,plain,
    in(sK5,sK4),
    inference(backward_demodulation,[],[f270,f708]) ).

fof(f270,plain,
    in(sK5,sF17),
    inference(superposition,[],[f229,f267]) ).

fof(f229,plain,
    ! [X0] : in(X0,succ(X0)),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,axiom,
    ! [X0] : in(X0,succ(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_ordinal1) ).

fof(f711,plain,
    ! [X0] :
      ( ~ in(X0,sK4)
      | ~ ordinal(X0)
      | in(succ(X0),sK4) ),
    inference(subsumption_resolution,[],[f710,f192]) ).

fof(f710,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | ~ ordinal(sK4)
      | in(succ(X0),sK4)
      | ~ in(X0,sK4) ),
    inference(resolution,[],[f707,f210]) ).

fof(f210,plain,
    ! [X0,X1] :
      ( ~ being_limit_ordinal(X0)
      | in(succ(X1),X0)
      | ~ ordinal(X0)
      | ~ ordinal(X1)
      | ~ in(X1,X0) ),
    inference(cnf_transformation,[],[f144]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEU238+3 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n020.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 Aug 30 14:58:15 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.57  % (10774)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.57  % (10757)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.57  % (10766)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.57  % (10759)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.58  % (10759)Instruction limit reached!
% 0.21/0.58  % (10759)------------------------------
% 0.21/0.58  % (10759)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58  % (10759)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58  % (10759)Termination reason: Unknown
% 0.21/0.58  % (10759)Termination phase: Clausification
% 0.21/0.58  
% 0.21/0.58  % (10759)Memory used [KB]: 1023
% 0.21/0.58  % (10759)Time elapsed: 0.005 s
% 0.21/0.58  % (10759)Instructions burned: 3 (million)
% 0.21/0.58  % (10759)------------------------------
% 0.21/0.58  % (10759)------------------------------
% 0.21/0.58  TRYING [1]
% 0.21/0.59  % (10773)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.59  % (10765)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.59  TRYING [2]
% 0.21/0.59  TRYING [3]
% 0.21/0.60  TRYING [4]
% 0.21/0.62  % (10753)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.62  % (10751)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.63  % (10754)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.63  % (10755)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.63  % (10756)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.63  % (10777)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.63  TRYING [5]
% 0.21/0.63  % (10769)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.64  % (10767)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.64  % (10761)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.64  % (10758)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.64  % (10762)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.64  % (10763)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 2.06/0.64  % (10764)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.06/0.65  TRYING [1]
% 2.06/0.65  TRYING [2]
% 2.06/0.65  % (10778)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 2.06/0.65  % (10779)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 2.06/0.65  % (10780)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 2.06/0.65  TRYING [3]
% 2.06/0.65  % (10757)Instruction limit reached!
% 2.06/0.65  % (10757)------------------------------
% 2.06/0.65  % (10757)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.65  TRYING [4]
% 2.06/0.65  % (10775)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 2.06/0.66  % (10768)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.06/0.66  % (10757)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.66  % (10757)Termination reason: Unknown
% 2.06/0.66  % (10757)Termination phase: Finite model building SAT solving
% 2.06/0.66  
% 2.06/0.66  % (10757)Memory used [KB]: 6780
% 2.06/0.66  % (10757)Time elapsed: 0.206 s
% 2.06/0.66  % (10757)Instructions burned: 51 (million)
% 2.06/0.66  % (10757)------------------------------
% 2.06/0.66  % (10757)------------------------------
% 2.06/0.66  % (10770)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.06/0.66  % (10771)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 2.06/0.66  % (10772)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 2.38/0.66  % (10752)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.38/0.67  % (10766)First to succeed.
% 2.41/0.67  % (10758)Instruction limit reached!
% 2.41/0.67  % (10758)------------------------------
% 2.41/0.67  % (10758)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.67  % (10758)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.67  % (10758)Termination reason: Unknown
% 2.41/0.67  % (10758)Termination phase: Saturation
% 2.41/0.67  
% 2.41/0.67  % (10758)Memory used [KB]: 5628
% 2.41/0.67  % (10758)Time elapsed: 0.234 s
% 2.41/0.67  % (10758)Instructions burned: 7 (million)
% 2.41/0.67  % (10758)------------------------------
% 2.41/0.67  % (10758)------------------------------
% 2.41/0.67  % (10766)Refutation found. Thanks to Tanya!
% 2.41/0.67  % SZS status Theorem for theBenchmark
% 2.41/0.67  % SZS output start Proof for theBenchmark
% See solution above
% 2.41/0.67  % (10766)------------------------------
% 2.41/0.67  % (10766)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.67  % (10766)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.67  % (10766)Termination reason: Refutation
% 2.41/0.67  
% 2.41/0.67  % (10766)Memory used [KB]: 1407
% 2.41/0.67  % (10766)Time elapsed: 0.173 s
% 2.41/0.67  % (10766)Instructions burned: 37 (million)
% 2.41/0.67  % (10766)------------------------------
% 2.41/0.67  % (10766)------------------------------
% 2.41/0.67  % (10750)Success in time 0.311 s
%------------------------------------------------------------------------------