TSTP Solution File: SET795+4 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET795+4 : 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_uns --cores 0 -t %d %s

% Computer : n006.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 18:22:17 EDT 2022

% Result   : Theorem 1.29s 0.52s
% Output   : Refutation 1.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   70 (   9 unt;   0 def)
%            Number of atoms       :  314 (  33 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  362 ( 118   ~; 110   |;  95   &)
%                                         (  11 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   3 prp; 0-4 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-4 aty)
%            Number of variables   :  207 ( 184   !;  23   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f122,plain,
    $false,
    inference(avatar_sat_refutation,[],[f108,f113,f121]) ).

fof(f121,plain,
    ~ spl6_5,
    inference(avatar_contradiction_clause,[],[f120]) ).

fof(f120,plain,
    ( $false
    | ~ spl6_5 ),
    inference(subsumption_resolution,[],[f119,f58]) ).

fof(f58,plain,
    member(sK1,sK2),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ( order(sK4,sK2)
    & apply(sK4,sK3,sK1)
    & ~ least_upper_bound(sK1,unordered_pair(sK3,sK1),sK4,sK2)
    & member(sK3,sK2)
    & member(sK1,sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f44,f45]) ).

fof(f45,plain,
    ( ? [X0,X1,X2,X3] :
        ( order(X3,X1)
        & apply(X3,X2,X0)
        & ~ least_upper_bound(X0,unordered_pair(X2,X0),X3,X1)
        & member(X2,X1)
        & member(X0,X1) )
   => ( order(sK4,sK2)
      & apply(sK4,sK3,sK1)
      & ~ least_upper_bound(sK1,unordered_pair(sK3,sK1),sK4,sK2)
      & member(sK3,sK2)
      & member(sK1,sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f44,plain,
    ? [X0,X1,X2,X3] :
      ( order(X3,X1)
      & apply(X3,X2,X0)
      & ~ least_upper_bound(X0,unordered_pair(X2,X0),X3,X1)
      & member(X2,X1)
      & member(X0,X1) ),
    inference(rectify,[],[f32]) ).

fof(f32,plain,
    ? [X3,X2,X0,X1] :
      ( order(X1,X2)
      & apply(X1,X0,X3)
      & ~ least_upper_bound(X3,unordered_pair(X0,X3),X1,X2)
      & member(X0,X2)
      & member(X3,X2) ),
    inference(flattening,[],[f31]) ).

fof(f31,plain,
    ? [X2,X3,X1,X0] :
      ( ~ least_upper_bound(X3,unordered_pair(X0,X3),X1,X2)
      & member(X0,X2)
      & member(X3,X2)
      & apply(X1,X0,X3)
      & order(X1,X2) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,plain,
    ~ ! [X2,X3,X1,X0] :
        ( ( member(X0,X2)
          & member(X3,X2)
          & apply(X1,X0,X3)
          & order(X1,X2) )
       => least_upper_bound(X3,unordered_pair(X0,X3),X1,X2) ),
    inference(rectify,[],[f23]) ).

fof(f23,negated_conjecture,
    ~ ! [X0,X5,X3,X1] :
        ( ( apply(X5,X0,X1)
          & member(X1,X3)
          & member(X0,X3)
          & order(X5,X3) )
       => least_upper_bound(X1,unordered_pair(X0,X1),X5,X3) ),
    inference(negated_conjecture,[],[f22]) ).

fof(f22,conjecture,
    ! [X0,X5,X3,X1] :
      ( ( apply(X5,X0,X1)
        & member(X1,X3)
        & member(X0,X3)
        & order(X5,X3) )
     => least_upper_bound(X1,unordered_pair(X0,X1),X5,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIV7) ).

fof(f119,plain,
    ( ~ member(sK1,sK2)
    | ~ spl6_5 ),
    inference(resolution,[],[f118,f71]) ).

fof(f71,plain,
    ! [X0] :
      ( apply(sK4,X0,X0)
      | ~ member(X0,sK2) ),
    inference(resolution,[],[f63,f62]) ).

fof(f62,plain,
    order(sK4,sK2),
    inference(cnf_transformation,[],[f46]) ).

fof(f63,plain,
    ! [X0,X1,X7] :
      ( ~ order(X1,X0)
      | apply(X1,X7,X7)
      | ~ member(X7,X0) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ~ order(X1,X0)
      | ( ! [X2,X3,X4] :
            ( ~ apply(X1,X2,X4)
            | ~ member(X3,X0)
            | ~ apply(X1,X3,X2)
            | ~ member(X4,X0)
            | apply(X1,X3,X4)
            | ~ member(X2,X0) )
        & ! [X5,X6] :
            ( ~ member(X6,X0)
            | ~ apply(X1,X6,X5)
            | ~ member(X5,X0)
            | ~ apply(X1,X5,X6)
            | X5 = X6 )
        & ! [X7] :
            ( ~ member(X7,X0)
            | apply(X1,X7,X7) ) ) ),
    inference(rectify,[],[f34]) ).

fof(f34,plain,
    ! [X1,X0] :
      ( ~ order(X0,X1)
      | ( ! [X5,X7,X6] :
            ( ~ apply(X0,X5,X6)
            | ~ member(X7,X1)
            | ~ apply(X0,X7,X5)
            | ~ member(X6,X1)
            | apply(X0,X7,X6)
            | ~ member(X5,X1) )
        & ! [X3,X2] :
            ( ~ member(X2,X1)
            | ~ apply(X0,X2,X3)
            | ~ member(X3,X1)
            | ~ apply(X0,X3,X2)
            | X2 = X3 )
        & ! [X4] :
            ( ~ member(X4,X1)
            | apply(X0,X4,X4) ) ) ),
    inference(flattening,[],[f33]) ).

fof(f33,plain,
    ! [X1,X0] :
      ( ( ! [X4] :
            ( ~ member(X4,X1)
            | apply(X0,X4,X4) )
        & ! [X5,X6,X7] :
            ( apply(X0,X7,X6)
            | ~ apply(X0,X5,X6)
            | ~ apply(X0,X7,X5)
            | ~ member(X7,X1)
            | ~ member(X5,X1)
            | ~ member(X6,X1) )
        & ! [X3,X2] :
            ( X2 = X3
            | ~ apply(X0,X3,X2)
            | ~ apply(X0,X2,X3)
            | ~ member(X2,X1)
            | ~ member(X3,X1) ) )
      | ~ order(X0,X1) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X1,X0] :
      ( order(X0,X1)
     => ( ! [X4] :
            ( member(X4,X1)
           => apply(X0,X4,X4) )
        & ! [X5,X6,X7] :
            ( ( member(X7,X1)
              & member(X5,X1)
              & member(X6,X1) )
           => ( ( apply(X0,X5,X6)
                & apply(X0,X7,X5) )
             => apply(X0,X7,X6) ) )
        & ! [X3,X2] :
            ( ( member(X2,X1)
              & member(X3,X1) )
           => ( ( apply(X0,X3,X2)
                & apply(X0,X2,X3) )
             => X2 = X3 ) ) ) ),
    inference(unused_predicate_definition_removal,[],[f27]) ).

fof(f27,plain,
    ! [X1,X0] :
      ( ( ! [X4] :
            ( member(X4,X1)
           => apply(X0,X4,X4) )
        & ! [X5,X6,X7] :
            ( ( member(X7,X1)
              & member(X5,X1)
              & member(X6,X1) )
           => ( ( apply(X0,X5,X6)
                & apply(X0,X7,X5) )
             => apply(X0,X7,X6) ) )
        & ! [X3,X2] :
            ( ( member(X2,X1)
              & member(X3,X1) )
           => ( ( apply(X0,X3,X2)
                & apply(X0,X2,X3) )
             => X2 = X3 ) ) )
    <=> order(X0,X1) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X5,X3] :
      ( order(X5,X3)
    <=> ( ! [X2,X4] :
            ( ( member(X4,X3)
              & member(X2,X3) )
           => ( ( apply(X5,X2,X4)
                & apply(X5,X4,X2) )
             => X2 = X4 ) )
        & ! [X2] :
            ( member(X2,X3)
           => apply(X5,X2,X2) )
        & ! [X4,X6,X2] :
            ( ( member(X4,X3)
              & member(X2,X3)
              & member(X6,X3) )
           => ( ( apply(X5,X2,X4)
                & apply(X5,X4,X6) )
             => apply(X5,X2,X6) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',order) ).

fof(f118,plain,
    ( ~ apply(sK4,sK1,sK1)
    | ~ spl6_5 ),
    inference(subsumption_resolution,[],[f116,f98]) ).

fof(f98,plain,
    ~ upper_bound(sK1,sK4,unordered_pair(sK3,sK1)),
    inference(subsumption_resolution,[],[f97,f70]) ).

fof(f70,plain,
    ! [X2,X0] : member(X2,unordered_pair(X0,X2)),
    inference(equality_resolution,[],[f53]) ).

fof(f53,plain,
    ! [X2,X0,X1] :
      ( member(X1,unordered_pair(X0,X2))
      | X1 != X2 ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1,X2] :
      ( ( member(X1,unordered_pair(X0,X2))
        | ( X0 != X1
          & X1 != X2 ) )
      & ( X0 = X1
        | X1 = X2
        | ~ member(X1,unordered_pair(X0,X2)) ) ),
    inference(rectify,[],[f39]) ).

fof(f39,plain,
    ! [X2,X1,X0] :
      ( ( member(X1,unordered_pair(X2,X0))
        | ( X1 != X2
          & X0 != X1 ) )
      & ( X1 = X2
        | X0 = X1
        | ~ member(X1,unordered_pair(X2,X0)) ) ),
    inference(flattening,[],[f38]) ).

fof(f38,plain,
    ! [X2,X1,X0] :
      ( ( member(X1,unordered_pair(X2,X0))
        | ( X1 != X2
          & X0 != X1 ) )
      & ( X1 = X2
        | X0 = X1
        | ~ member(X1,unordered_pair(X2,X0)) ) ),
    inference(nnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X2,X1,X0] :
      ( member(X1,unordered_pair(X2,X0))
    <=> ( X1 = X2
        | X0 = X1 ) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X1,X2,X0] :
      ( ( X1 = X2
        | X0 = X2 )
    <=> member(X2,unordered_pair(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair) ).

fof(f97,plain,
    ( ~ member(sK1,unordered_pair(sK3,sK1))
    | ~ upper_bound(sK1,sK4,unordered_pair(sK3,sK1)) ),
    inference(resolution,[],[f96,f60]) ).

fof(f60,plain,
    ~ least_upper_bound(sK1,unordered_pair(sK3,sK1),sK4,sK2),
    inference(cnf_transformation,[],[f46]) ).

fof(f96,plain,
    ! [X8,X6,X7,X5] :
      ( least_upper_bound(X5,X7,X6,X8)
      | ~ member(X5,X7)
      | ~ upper_bound(X5,X6,X7) ),
    inference(duplicate_literal_removal,[],[f94]) ).

fof(f94,plain,
    ! [X8,X6,X7,X5] :
      ( least_upper_bound(X5,X7,X6,X8)
      | ~ member(X5,X7)
      | ~ upper_bound(X5,X6,X7)
      | ~ member(X5,X7)
      | ~ upper_bound(X5,X6,X7)
      | ~ member(X5,X7)
      | least_upper_bound(X5,X7,X6,X8) ),
    inference(resolution,[],[f76,f57]) ).

fof(f57,plain,
    ! [X2,X3,X0,X1] :
      ( ~ apply(X0,X2,sK0(X0,X1,X2,X3))
      | least_upper_bound(X2,X3,X0,X1)
      | ~ upper_bound(X2,X0,X3)
      | ~ member(X2,X3) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1,X2,X3] :
      ( least_upper_bound(X2,X3,X0,X1)
      | ~ member(X2,X3)
      | ~ upper_bound(X2,X0,X3)
      | ( ~ apply(X0,X2,sK0(X0,X1,X2,X3))
        & upper_bound(sK0(X0,X1,X2,X3),X0,X3)
        & member(sK0(X0,X1,X2,X3),X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f41,f42]) ).

fof(f42,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X4] :
          ( ~ apply(X0,X2,X4)
          & upper_bound(X4,X0,X3)
          & member(X4,X1) )
     => ( ~ apply(X0,X2,sK0(X0,X1,X2,X3))
        & upper_bound(sK0(X0,X1,X2,X3),X0,X3)
        & member(sK0(X0,X1,X2,X3),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f41,plain,
    ! [X0,X1,X2,X3] :
      ( least_upper_bound(X2,X3,X0,X1)
      | ~ member(X2,X3)
      | ~ upper_bound(X2,X0,X3)
      | ? [X4] :
          ( ~ apply(X0,X2,X4)
          & upper_bound(X4,X0,X3)
          & member(X4,X1) ) ),
    inference(rectify,[],[f36]) ).

fof(f36,plain,
    ! [X1,X0,X3,X2] :
      ( least_upper_bound(X3,X2,X1,X0)
      | ~ member(X3,X2)
      | ~ upper_bound(X3,X1,X2)
      | ? [X4] :
          ( ~ apply(X1,X3,X4)
          & upper_bound(X4,X1,X2)
          & member(X4,X0) ) ),
    inference(flattening,[],[f35]) ).

fof(f35,plain,
    ! [X0,X3,X2,X1] :
      ( least_upper_bound(X3,X2,X1,X0)
      | ? [X4] :
          ( ~ apply(X1,X3,X4)
          & upper_bound(X4,X1,X2)
          & member(X4,X0) )
      | ~ upper_bound(X3,X1,X2)
      | ~ member(X3,X2) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0,X3,X2,X1] :
      ( ( ! [X4] :
            ( ( upper_bound(X4,X1,X2)
              & member(X4,X0) )
           => apply(X1,X3,X4) )
        & upper_bound(X3,X1,X2)
        & member(X3,X2) )
     => least_upper_bound(X3,X2,X1,X0) ),
    inference(unused_predicate_definition_removal,[],[f25]) ).

fof(f25,plain,
    ! [X0,X3,X2,X1] :
      ( least_upper_bound(X3,X2,X1,X0)
    <=> ( ! [X4] :
            ( ( upper_bound(X4,X1,X2)
              & member(X4,X0) )
           => apply(X1,X3,X4) )
        & upper_bound(X3,X1,X2)
        & member(X3,X2) ) ),
    inference(rectify,[],[f20]) ).

fof(f20,axiom,
    ! [X3,X5,X2,X0] :
      ( least_upper_bound(X0,X2,X5,X3)
    <=> ( member(X0,X2)
        & ! [X7] :
            ( ( member(X7,X3)
              & upper_bound(X7,X5,X2) )
           => apply(X5,X0,X7) )
        & upper_bound(X0,X5,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',least_upper_bound) ).

fof(f76,plain,
    ! [X2,X3,X0,X1,X4] :
      ( apply(X2,X4,sK0(X2,X3,X0,X1))
      | ~ upper_bound(X0,X2,X1)
      | ~ member(X0,X1)
      | ~ member(X4,X1)
      | least_upper_bound(X0,X1,X2,X3) ),
    inference(resolution,[],[f56,f66]) ).

fof(f66,plain,
    ! [X2,X0,X1,X4] :
      ( ~ upper_bound(X2,X0,X1)
      | apply(X0,X4,X2)
      | ~ member(X4,X1) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1,X2] :
      ( ( upper_bound(X2,X0,X1)
        | ( ~ apply(X0,sK5(X0,X1,X2),X2)
          & member(sK5(X0,X1,X2),X1) ) )
      & ( ! [X4] :
            ( apply(X0,X4,X2)
            | ~ member(X4,X1) )
        | ~ upper_bound(X2,X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f49,f50]) ).

fof(f50,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ~ apply(X0,X3,X2)
          & member(X3,X1) )
     => ( ~ apply(X0,sK5(X0,X1,X2),X2)
        & member(sK5(X0,X1,X2),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f49,plain,
    ! [X0,X1,X2] :
      ( ( upper_bound(X2,X0,X1)
        | ? [X3] :
            ( ~ apply(X0,X3,X2)
            & member(X3,X1) ) )
      & ( ! [X4] :
            ( apply(X0,X4,X2)
            | ~ member(X4,X1) )
        | ~ upper_bound(X2,X0,X1) ) ),
    inference(rectify,[],[f48]) ).

fof(f48,plain,
    ! [X2,X1,X0] :
      ( ( upper_bound(X0,X2,X1)
        | ? [X3] :
            ( ~ apply(X2,X3,X0)
            & member(X3,X1) ) )
      & ( ! [X3] :
            ( apply(X2,X3,X0)
            | ~ member(X3,X1) )
        | ~ upper_bound(X0,X2,X1) ) ),
    inference(nnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X2,X1,X0] :
      ( upper_bound(X0,X2,X1)
    <=> ! [X3] :
          ( apply(X2,X3,X0)
          | ~ member(X3,X1) ) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( member(X3,X1)
         => apply(X2,X3,X0) )
    <=> upper_bound(X0,X2,X1) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X7,X3,X5] :
      ( upper_bound(X7,X5,X3)
    <=> ! [X2] :
          ( member(X2,X3)
         => apply(X5,X2,X7) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',upper_bound) ).

fof(f56,plain,
    ! [X2,X3,X0,X1] :
      ( upper_bound(sK0(X0,X1,X2,X3),X0,X3)
      | least_upper_bound(X2,X3,X0,X1)
      | ~ member(X2,X3)
      | ~ upper_bound(X2,X0,X3) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f116,plain,
    ( upper_bound(sK1,sK4,unordered_pair(sK3,sK1))
    | ~ apply(sK4,sK1,sK1)
    | ~ spl6_5 ),
    inference(superposition,[],[f68,f107]) ).

fof(f107,plain,
    ( sK5(sK4,unordered_pair(sK3,sK1),sK1) = sK1
    | ~ spl6_5 ),
    inference(avatar_component_clause,[],[f105]) ).

fof(f105,plain,
    ( spl6_5
  <=> sK5(sK4,unordered_pair(sK3,sK1),sK1) = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).

fof(f68,plain,
    ! [X2,X0,X1] :
      ( ~ apply(X0,sK5(X0,X1,X2),X2)
      | upper_bound(X2,X0,X1) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f113,plain,
    ~ spl6_4,
    inference(avatar_contradiction_clause,[],[f112]) ).

fof(f112,plain,
    ( $false
    | ~ spl6_4 ),
    inference(subsumption_resolution,[],[f111,f98]) ).

fof(f111,plain,
    ( upper_bound(sK1,sK4,unordered_pair(sK3,sK1))
    | ~ spl6_4 ),
    inference(subsumption_resolution,[],[f109,f61]) ).

fof(f61,plain,
    apply(sK4,sK3,sK1),
    inference(cnf_transformation,[],[f46]) ).

fof(f109,plain,
    ( ~ apply(sK4,sK3,sK1)
    | upper_bound(sK1,sK4,unordered_pair(sK3,sK1))
    | ~ spl6_4 ),
    inference(superposition,[],[f68,f103]) ).

fof(f103,plain,
    ( sK5(sK4,unordered_pair(sK3,sK1),sK1) = sK3
    | ~ spl6_4 ),
    inference(avatar_component_clause,[],[f101]) ).

fof(f101,plain,
    ( spl6_4
  <=> sK5(sK4,unordered_pair(sK3,sK1),sK1) = sK3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).

fof(f108,plain,
    ( spl6_4
    | spl6_5 ),
    inference(avatar_split_clause,[],[f99,f105,f101]) ).

fof(f99,plain,
    ( sK5(sK4,unordered_pair(sK3,sK1),sK1) = sK1
    | sK5(sK4,unordered_pair(sK3,sK1),sK1) = sK3 ),
    inference(resolution,[],[f98,f74]) ).

fof(f74,plain,
    ! [X6,X7,X4,X5] :
      ( upper_bound(X7,X5,unordered_pair(X4,X6))
      | sK5(X5,unordered_pair(X4,X6),X7) = X4
      | sK5(X5,unordered_pair(X4,X6),X7) = X6 ),
    inference(resolution,[],[f52,f67]) ).

fof(f67,plain,
    ! [X2,X0,X1] :
      ( member(sK5(X0,X1,X2),X1)
      | upper_bound(X2,X0,X1) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f52,plain,
    ! [X2,X0,X1] :
      ( ~ member(X1,unordered_pair(X0,X2))
      | X0 = X1
      | X1 = X2 ),
    inference(cnf_transformation,[],[f40]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET795+4 : 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_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n006.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
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 14:19:25 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (2264)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)
% 0.19/0.51  % (2272)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)
% 0.19/0.51  % (2263)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)
% 0.19/0.51  % (2280)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)
% 0.19/0.51  % (2257)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)
% 0.19/0.51  % (2256)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)
% 0.19/0.51  % (2280)Refutation not found, incomplete strategy% (2280)------------------------------
% 0.19/0.51  % (2280)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (2256)First to succeed.
% 0.19/0.52  % (2280)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (2280)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (2280)Memory used [KB]: 6012
% 0.19/0.52  % (2280)Time elapsed: 0.102 s
% 0.19/0.52  % (2280)Instructions burned: 5 (million)
% 0.19/0.52  % (2280)------------------------------
% 0.19/0.52  % (2280)------------------------------
% 1.29/0.52  % (2255)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)
% 1.29/0.52  % (2254)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)
% 1.29/0.52  % (2266)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)
% 1.29/0.52  % (2254)Instruction limit reached!
% 1.29/0.52  % (2254)------------------------------
% 1.29/0.52  % (2254)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.52  % (2254)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.52  % (2254)Termination reason: Unknown
% 1.29/0.52  % (2254)Termination phase: Saturation
% 1.29/0.52  
% 1.29/0.52  % (2254)Memory used [KB]: 6012
% 1.29/0.52  % (2254)Time elapsed: 0.117 s
% 1.29/0.52  % (2254)Instructions burned: 3 (million)
% 1.29/0.52  % (2254)------------------------------
% 1.29/0.52  % (2254)------------------------------
% 1.29/0.52  % (2266)Instruction limit reached!
% 1.29/0.52  % (2266)------------------------------
% 1.29/0.52  % (2266)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.52  % (2266)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.52  % (2266)Termination reason: Unknown
% 1.29/0.52  % (2266)Termination phase: Saturation
% 1.29/0.52  
% 1.29/0.52  % (2266)Memory used [KB]: 6012
% 1.29/0.52  % (2266)Time elapsed: 0.003 s
% 1.29/0.52  % (2266)Instructions burned: 4 (million)
% 1.29/0.52  % (2266)------------------------------
% 1.29/0.52  % (2266)------------------------------
% 1.29/0.52  % (2255)Refutation not found, incomplete strategy% (2255)------------------------------
% 1.29/0.52  % (2255)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.52  % (2255)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.52  % (2255)Termination reason: Refutation not found, incomplete strategy
% 1.29/0.52  
% 1.29/0.52  % (2255)Memory used [KB]: 6012
% 1.29/0.52  % (2255)Time elapsed: 0.117 s
% 1.29/0.52  % (2255)Instructions burned: 4 (million)
% 1.29/0.52  % (2255)------------------------------
% 1.29/0.52  % (2255)------------------------------
% 1.29/0.52  % (2259)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)
% 1.29/0.52  % (2260)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)
% 1.29/0.52  % (2261)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)
% 1.29/0.52  % (2257)Also succeeded, but the first one will report.
% 1.29/0.52  % (2256)Refutation found. Thanks to Tanya!
% 1.29/0.52  % SZS status Theorem for theBenchmark
% 1.29/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 1.29/0.52  % (2256)------------------------------
% 1.29/0.52  % (2256)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.52  % (2256)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.52  % (2256)Termination reason: Refutation
% 1.29/0.52  
% 1.29/0.52  % (2256)Memory used [KB]: 6012
% 1.29/0.52  % (2256)Time elapsed: 0.118 s
% 1.29/0.52  % (2256)Instructions burned: 4 (million)
% 1.29/0.52  % (2256)------------------------------
% 1.29/0.52  % (2256)------------------------------
% 1.29/0.52  % (2251)Success in time 0.172 s
%------------------------------------------------------------------------------