TSTP Solution File: SET758+4 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET758+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 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 : n011.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 18:22:09 EDT 2022

% Result   : Theorem 0.20s 0.60s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   63 (  13 unt;   0 def)
%            Number of atoms       :  276 (  12 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :  326 ( 113   ~; 102   |;  84   &)
%                                         (   8 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-3 aty)
%            Number of variables   :  230 ( 192   !;  38   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f542,plain,
    $false,
    inference(subsumption_resolution,[],[f541,f96]) ).

fof(f96,plain,
    ~ member(sK0(sK2,image3(sK5,inverse_image3(sK5,sK2,sK4),sK3)),sK2),
    inference(resolution,[],[f69,f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( subset(X1,X0)
      | ~ member(sK0(X0,X1),X0) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ~ member(X2,X1)
            | member(X2,X0) )
        | ~ subset(X1,X0) )
      & ( subset(X1,X0)
        | ( member(sK0(X0,X1),X1)
          & ~ member(sK0(X0,X1),X0) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f42,f43]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( member(X3,X1)
          & ~ member(X3,X0) )
     => ( member(sK0(X0,X1),X1)
        & ~ member(sK0(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ~ member(X2,X1)
            | member(X2,X0) )
        | ~ subset(X1,X0) )
      & ( subset(X1,X0)
        | ? [X3] :
            ( member(X3,X1)
            & ~ member(X3,X0) ) ) ),
    inference(rectify,[],[f41]) ).

fof(f41,plain,
    ! [X1,X0] :
      ( ( ! [X2] :
            ( ~ member(X2,X0)
            | member(X2,X1) )
        | ~ subset(X0,X1) )
      & ( subset(X0,X1)
        | ? [X2] :
            ( member(X2,X0)
            & ~ member(X2,X1) ) ) ),
    inference(nnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( ~ member(X2,X0)
          | member(X2,X1) )
    <=> subset(X0,X1) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X1,X0] :
      ( ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) )
    <=> subset(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset) ).

fof(f69,plain,
    ~ subset(image3(sK5,inverse_image3(sK5,sK2,sK4),sK3),sK2),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ( subset(sK2,sK3)
    & ~ subset(image3(sK5,inverse_image3(sK5,sK2,sK4),sK3),sK2)
    & maps(sK5,sK4,sK3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f50,f51]) ).

fof(f51,plain,
    ( ? [X0,X1,X2,X3] :
        ( subset(X0,X1)
        & ~ subset(image3(X3,inverse_image3(X3,X0,X2),X1),X0)
        & maps(X3,X2,X1) )
   => ( subset(sK2,sK3)
      & ~ subset(image3(sK5,inverse_image3(sK5,sK2,sK4),sK3),sK2)
      & maps(sK5,sK4,sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f50,plain,
    ? [X0,X1,X2,X3] :
      ( subset(X0,X1)
      & ~ subset(image3(X3,inverse_image3(X3,X0,X2),X1),X0)
      & maps(X3,X2,X1) ),
    inference(rectify,[],[f39]) ).

fof(f39,plain,
    ? [X3,X0,X1,X2] :
      ( subset(X3,X0)
      & ~ subset(image3(X2,inverse_image3(X2,X3,X1),X0),X3)
      & maps(X2,X1,X0) ),
    inference(flattening,[],[f38]) ).

fof(f38,plain,
    ? [X0,X2,X1,X3] :
      ( ~ subset(image3(X2,inverse_image3(X2,X3,X1),X0),X3)
      & subset(X3,X0)
      & maps(X2,X1,X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,plain,
    ~ ! [X0,X2,X1,X3] :
        ( ( subset(X3,X0)
          & maps(X2,X1,X0) )
       => subset(image3(X2,inverse_image3(X2,X3,X1),X0),X3) ),
    inference(rectify,[],[f30]) ).

fof(f30,negated_conjecture,
    ~ ! [X1,X0,X5,X4] :
        ( ( maps(X5,X0,X1)
          & subset(X4,X1) )
       => subset(image3(X5,inverse_image3(X5,X4,X0),X1),X4) ),
    inference(negated_conjecture,[],[f29]) ).

fof(f29,conjecture,
    ! [X1,X0,X5,X4] :
      ( ( maps(X5,X0,X1)
        & subset(X4,X1) )
     => subset(image3(X5,inverse_image3(X5,X4,X0),X1),X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIIa08) ).

fof(f541,plain,
    member(sK0(sK2,image3(sK5,inverse_image3(sK5,sK2,sK4),sK3)),sK2),
    inference(backward_demodulation,[],[f224,f533]) ).

fof(f533,plain,
    sK6(sK2,sK1(sK5,inverse_image3(sK5,sK2,sK4),sK0(sK2,image3(sK5,inverse_image3(sK5,sK2,sK4),sK3))),sK5) = sK0(sK2,image3(sK5,inverse_image3(sK5,sK2,sK4),sK3)),
    inference(unit_resulting_resolution,[],[f129,f128,f225,f130,f224,f319]) ).

fof(f319,plain,
    ! [X2,X3,X0,X1] :
      ( ~ member(sK6(X2,X0,sK5),sK2)
      | ~ member(X1,sK3)
      | ~ apply(sK5,X0,X1)
      | sK6(X2,X0,sK5) = X1
      | ~ member(X0,sK4)
      | ~ member(X0,inverse_image3(sK5,X2,X3)) ),
    inference(resolution,[],[f149,f78]) ).

fof(f78,plain,
    ! [X0] :
      ( member(X0,sK3)
      | ~ member(X0,sK2) ),
    inference(resolution,[],[f70,f63]) ).

fof(f63,plain,
    ! [X2,X0,X1] :
      ( ~ subset(X1,X0)
      | member(X2,X0)
      | ~ member(X2,X1) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f70,plain,
    subset(sK2,sK3),
    inference(cnf_transformation,[],[f52]) ).

fof(f149,plain,
    ! [X8,X6,X9,X7] :
      ( ~ member(sK6(X8,X6,sK5),sK3)
      | ~ apply(sK5,X6,X7)
      | ~ member(X6,sK4)
      | ~ member(X6,inverse_image3(sK5,X8,X9))
      | ~ member(X7,sK3)
      | sK6(X8,X6,sK5) = X7 ),
    inference(resolution,[],[f79,f73]) ).

fof(f73,plain,
    ! [X2,X3,X0,X1] :
      ( ~ member(X2,inverse_image3(X3,X1,X0))
      | apply(X3,X2,sK6(X1,X2,X3)) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1,X2,X3] :
      ( ( ( member(sK6(X1,X2,X3),X1)
          & apply(X3,X2,sK6(X1,X2,X3))
          & member(X2,X0) )
        | ~ member(X2,inverse_image3(X3,X1,X0)) )
      & ( member(X2,inverse_image3(X3,X1,X0))
        | ! [X5] :
            ( ~ member(X5,X1)
            | ~ apply(X3,X2,X5) )
        | ~ member(X2,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f55,f56]) ).

fof(f56,plain,
    ! [X1,X2,X3] :
      ( ? [X4] :
          ( member(X4,X1)
          & apply(X3,X2,X4) )
     => ( member(sK6(X1,X2,X3),X1)
        & apply(X3,X2,sK6(X1,X2,X3)) ) ),
    introduced(choice_axiom,[]) ).

fof(f55,plain,
    ! [X0,X1,X2,X3] :
      ( ( ( ? [X4] :
              ( member(X4,X1)
              & apply(X3,X2,X4) )
          & member(X2,X0) )
        | ~ member(X2,inverse_image3(X3,X1,X0)) )
      & ( member(X2,inverse_image3(X3,X1,X0))
        | ! [X5] :
            ( ~ member(X5,X1)
            | ~ apply(X3,X2,X5) )
        | ~ member(X2,X0) ) ),
    inference(rectify,[],[f54]) ).

fof(f54,plain,
    ! [X0,X1,X3,X2] :
      ( ( ( ? [X4] :
              ( member(X4,X1)
              & apply(X2,X3,X4) )
          & member(X3,X0) )
        | ~ member(X3,inverse_image3(X2,X1,X0)) )
      & ( member(X3,inverse_image3(X2,X1,X0))
        | ! [X4] :
            ( ~ member(X4,X1)
            | ~ apply(X2,X3,X4) )
        | ~ member(X3,X0) ) ),
    inference(flattening,[],[f53]) ).

fof(f53,plain,
    ! [X0,X1,X3,X2] :
      ( ( ( ? [X4] :
              ( member(X4,X1)
              & apply(X2,X3,X4) )
          & member(X3,X0) )
        | ~ member(X3,inverse_image3(X2,X1,X0)) )
      & ( member(X3,inverse_image3(X2,X1,X0))
        | ! [X4] :
            ( ~ member(X4,X1)
            | ~ apply(X2,X3,X4) )
        | ~ member(X3,X0) ) ),
    inference(nnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1,X3,X2] :
      ( ( ? [X4] :
            ( member(X4,X1)
            & apply(X2,X3,X4) )
        & member(X3,X0) )
    <=> member(X3,inverse_image3(X2,X1,X0)) ),
    inference(rectify,[],[f25]) ).

fof(f25,axiom,
    ! [X0,X1,X5,X2] :
      ( ( ? [X4] :
            ( apply(X5,X2,X4)
            & member(X4,X1) )
        & member(X2,X0) )
    <=> member(X2,inverse_image3(X5,X1,X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_image3) ).

fof(f79,plain,
    ! [X2,X0,X1] :
      ( ~ apply(sK5,X0,X2)
      | ~ apply(sK5,X0,X1)
      | ~ member(X2,sK3)
      | X1 = X2
      | ~ member(X1,sK3)
      | ~ member(X0,sK4) ),
    inference(resolution,[],[f68,f75]) ).

fof(f75,plain,
    ! [X2,X0,X1,X6,X7,X5] :
      ( ~ member(X5,X0)
      | ~ member(X6,X1)
      | ~ member(X7,X1)
      | ~ maps(X2,X0,X1)
      | ~ apply(X2,X5,X6)
      | ~ apply(X2,X5,X7)
      | X6 = X7 ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3] :
            ( ( member(sK7(X1,X2,X3),X1)
              & apply(X2,X3,sK7(X1,X2,X3)) )
            | ~ member(X3,X0) )
        & ! [X5,X6,X7] :
            ( ~ member(X6,X1)
            | ~ apply(X2,X5,X6)
            | ~ apply(X2,X5,X7)
            | X6 = X7
            | ~ member(X7,X1)
            | ~ member(X5,X0) ) )
      | ~ maps(X2,X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f58,f59]) ).

fof(f59,plain,
    ! [X1,X2,X3] :
      ( ? [X4] :
          ( member(X4,X1)
          & apply(X2,X3,X4) )
     => ( member(sK7(X1,X2,X3),X1)
        & apply(X2,X3,sK7(X1,X2,X3)) ) ),
    introduced(choice_axiom,[]) ).

fof(f58,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3] :
            ( ? [X4] :
                ( member(X4,X1)
                & apply(X2,X3,X4) )
            | ~ member(X3,X0) )
        & ! [X5,X6,X7] :
            ( ~ member(X6,X1)
            | ~ apply(X2,X5,X6)
            | ~ apply(X2,X5,X7)
            | X6 = X7
            | ~ member(X7,X1)
            | ~ member(X5,X0) ) )
      | ~ maps(X2,X0,X1) ),
    inference(rectify,[],[f37]) ).

fof(f37,plain,
    ! [X0,X2,X1] :
      ( ( ! [X3] :
            ( ? [X4] :
                ( member(X4,X2)
                & apply(X1,X3,X4) )
            | ~ member(X3,X0) )
        & ! [X7,X6,X5] :
            ( ~ member(X6,X2)
            | ~ apply(X1,X7,X6)
            | ~ apply(X1,X7,X5)
            | X5 = X6
            | ~ member(X5,X2)
            | ~ member(X7,X0) ) )
      | ~ maps(X1,X0,X2) ),
    inference(flattening,[],[f36]) ).

fof(f36,plain,
    ! [X2,X1,X0] :
      ( ( ! [X3] :
            ( ? [X4] :
                ( member(X4,X2)
                & apply(X1,X3,X4) )
            | ~ member(X3,X0) )
        & ! [X6,X7,X5] :
            ( X5 = X6
            | ~ apply(X1,X7,X5)
            | ~ apply(X1,X7,X6)
            | ~ member(X6,X2)
            | ~ member(X7,X0)
            | ~ member(X5,X2) ) )
      | ~ maps(X1,X0,X2) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X2,X1,X0] :
      ( maps(X1,X0,X2)
     => ( ! [X3] :
            ( member(X3,X0)
           => ? [X4] :
                ( member(X4,X2)
                & apply(X1,X3,X4) ) )
        & ! [X6,X7,X5] :
            ( ( member(X6,X2)
              & member(X7,X0)
              & member(X5,X2) )
           => ( ( apply(X1,X7,X5)
                & apply(X1,X7,X6) )
             => X5 = X6 ) ) ) ),
    inference(unused_predicate_definition_removal,[],[f34]) ).

fof(f34,plain,
    ! [X2,X1,X0] :
      ( ( ! [X3] :
            ( member(X3,X0)
           => ? [X4] :
                ( member(X4,X2)
                & apply(X1,X3,X4) ) )
        & ! [X6,X7,X5] :
            ( ( member(X6,X2)
              & member(X7,X0)
              & member(X5,X2) )
           => ( ( apply(X1,X7,X5)
                & apply(X1,X7,X6) )
             => X5 = X6 ) ) )
    <=> maps(X1,X0,X2) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X0,X5,X1] :
      ( ( ! [X2] :
            ( member(X2,X0)
           => ? [X4] :
                ( member(X4,X1)
                & apply(X5,X2,X4) ) )
        & ! [X6,X7,X2] :
            ( ( member(X6,X1)
              & member(X2,X0)
              & member(X7,X1) )
           => ( ( apply(X5,X2,X6)
                & apply(X5,X2,X7) )
             => X6 = X7 ) ) )
    <=> maps(X5,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maps) ).

fof(f68,plain,
    maps(sK5,sK4,sK3),
    inference(cnf_transformation,[],[f52]) ).

fof(f130,plain,
    member(sK1(sK5,inverse_image3(sK5,sK2,sK4),sK0(sK2,image3(sK5,inverse_image3(sK5,sK2,sK4),sK3))),inverse_image3(sK5,sK2,sK4)),
    inference(unit_resulting_resolution,[],[f93,f65]) ).

fof(f65,plain,
    ! [X2,X3,X0,X1] :
      ( ~ member(X2,image3(X0,X1,X3))
      | member(sK1(X0,X1,X2),X1) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1,X2,X3] :
      ( ( member(X2,image3(X0,X1,X3))
        | ! [X4] :
            ( ~ apply(X0,X4,X2)
            | ~ member(X4,X1) )
        | ~ member(X2,X3) )
      & ( ( apply(X0,sK1(X0,X1,X2),X2)
          & member(sK1(X0,X1,X2),X1)
          & member(X2,X3) )
        | ~ member(X2,image3(X0,X1,X3)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f47,f48]) ).

fof(f48,plain,
    ! [X0,X1,X2] :
      ( ? [X5] :
          ( apply(X0,X5,X2)
          & member(X5,X1) )
     => ( apply(X0,sK1(X0,X1,X2),X2)
        & member(sK1(X0,X1,X2),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f47,plain,
    ! [X0,X1,X2,X3] :
      ( ( member(X2,image3(X0,X1,X3))
        | ! [X4] :
            ( ~ apply(X0,X4,X2)
            | ~ member(X4,X1) )
        | ~ member(X2,X3) )
      & ( ( ? [X5] :
              ( apply(X0,X5,X2)
              & member(X5,X1) )
          & member(X2,X3) )
        | ~ member(X2,image3(X0,X1,X3)) ) ),
    inference(rectify,[],[f46]) ).

fof(f46,plain,
    ! [X2,X1,X0,X3] :
      ( ( member(X0,image3(X2,X1,X3))
        | ! [X4] :
            ( ~ apply(X2,X4,X0)
            | ~ member(X4,X1) )
        | ~ member(X0,X3) )
      & ( ( ? [X4] :
              ( apply(X2,X4,X0)
              & member(X4,X1) )
          & member(X0,X3) )
        | ~ member(X0,image3(X2,X1,X3)) ) ),
    inference(flattening,[],[f45]) ).

fof(f45,plain,
    ! [X2,X1,X0,X3] :
      ( ( member(X0,image3(X2,X1,X3))
        | ! [X4] :
            ( ~ apply(X2,X4,X0)
            | ~ member(X4,X1) )
        | ~ member(X0,X3) )
      & ( ( ? [X4] :
              ( apply(X2,X4,X0)
              & member(X4,X1) )
          & member(X0,X3) )
        | ~ member(X0,image3(X2,X1,X3)) ) ),
    inference(nnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X2,X1,X0,X3] :
      ( member(X0,image3(X2,X1,X3))
    <=> ( ? [X4] :
            ( apply(X2,X4,X0)
            & member(X4,X1) )
        & member(X0,X3) ) ),
    inference(rectify,[],[f23]) ).

fof(f23,axiom,
    ! [X4,X0,X5,X1] :
      ( ( member(X4,X1)
        & ? [X2] :
            ( member(X2,X0)
            & apply(X5,X2,X4) ) )
    <=> member(X4,image3(X5,X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',image3) ).

fof(f93,plain,
    member(sK0(sK2,image3(sK5,inverse_image3(sK5,sK2,sK4),sK3)),image3(sK5,inverse_image3(sK5,sK2,sK4),sK3)),
    inference(unit_resulting_resolution,[],[f69,f62]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( member(sK0(X0,X1),X1)
      | subset(X1,X0) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f225,plain,
    member(sK1(sK5,inverse_image3(sK5,sK2,sK4),sK0(sK2,image3(sK5,inverse_image3(sK5,sK2,sK4),sK3))),sK4),
    inference(unit_resulting_resolution,[],[f130,f72]) ).

fof(f72,plain,
    ! [X2,X3,X0,X1] :
      ( ~ member(X2,inverse_image3(X3,X1,X0))
      | member(X2,X0) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f128,plain,
    apply(sK5,sK1(sK5,inverse_image3(sK5,sK2,sK4),sK0(sK2,image3(sK5,inverse_image3(sK5,sK2,sK4),sK3))),sK0(sK2,image3(sK5,inverse_image3(sK5,sK2,sK4),sK3))),
    inference(unit_resulting_resolution,[],[f93,f66]) ).

fof(f66,plain,
    ! [X2,X3,X0,X1] :
      ( apply(X0,sK1(X0,X1,X2),X2)
      | ~ member(X2,image3(X0,X1,X3)) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f129,plain,
    member(sK0(sK2,image3(sK5,inverse_image3(sK5,sK2,sK4),sK3)),sK3),
    inference(unit_resulting_resolution,[],[f93,f64]) ).

fof(f64,plain,
    ! [X2,X3,X0,X1] :
      ( ~ member(X2,image3(X0,X1,X3))
      | member(X2,X3) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f224,plain,
    member(sK6(sK2,sK1(sK5,inverse_image3(sK5,sK2,sK4),sK0(sK2,image3(sK5,inverse_image3(sK5,sK2,sK4),sK3))),sK5),sK2),
    inference(unit_resulting_resolution,[],[f130,f74]) ).

fof(f74,plain,
    ! [X2,X3,X0,X1] :
      ( ~ member(X2,inverse_image3(X3,X1,X0))
      | member(sK6(X1,X2,X3),X1) ),
    inference(cnf_transformation,[],[f57]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET758+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 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
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % 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 14:16:25 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.54  % (30003)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)
% 0.20/0.55  % (30012)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)
% 0.20/0.55  % (30013)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)
% 0.20/0.55  % (30004)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)
% 0.20/0.55  % (30005)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)
% 0.20/0.55  % (30008)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)
% 0.20/0.55  % (30019)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)
% 0.20/0.56  % (30008)Instruction limit reached!
% 0.20/0.56  % (30008)------------------------------
% 0.20/0.56  % (30008)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (30016)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)
% 0.20/0.56  % (30024)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)
% 0.20/0.56  % (30021)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)
% 0.20/0.56  % (30012)Instruction limit reached!
% 0.20/0.56  % (30012)------------------------------
% 0.20/0.56  % (30012)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (30020)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)
% 0.20/0.56  % (30011)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)
% 0.20/0.57  % (30020)Refutation not found, incomplete strategy% (30020)------------------------------
% 0.20/0.57  % (30020)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (30020)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (30020)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.57  
% 0.20/0.57  % (30020)Memory used [KB]: 1535
% 0.20/0.57  % (30020)Time elapsed: 0.137 s
% 0.20/0.57  % (30020)Instructions burned: 2 (million)
% 0.20/0.57  % (30020)------------------------------
% 0.20/0.57  % (30020)------------------------------
% 0.20/0.57  % (30011)Instruction limit reached!
% 0.20/0.57  % (30011)------------------------------
% 0.20/0.57  % (30011)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (30012)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (30012)Termination reason: Unknown
% 0.20/0.57  % (30012)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (30012)Memory used [KB]: 6140
% 0.20/0.57  % (30012)Time elapsed: 0.143 s
% 0.20/0.57  % (30012)Instructions burned: 7 (million)
% 0.20/0.57  % (30012)------------------------------
% 0.20/0.57  % (30012)------------------------------
% 0.20/0.57  % (30016)Refutation not found, incomplete strategy% (30016)------------------------------
% 0.20/0.57  % (30016)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (30016)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (30016)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.57  
% 0.20/0.57  % (30016)Memory used [KB]: 6012
% 0.20/0.57  % (30016)Time elapsed: 0.145 s
% 0.20/0.57  % (30016)Instructions burned: 2 (million)
% 0.20/0.57  % (30016)------------------------------
% 0.20/0.57  % (30016)------------------------------
% 0.20/0.57  % (30008)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (30008)Termination reason: Unknown
% 0.20/0.57  % (30008)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (30008)Memory used [KB]: 6140
% 0.20/0.57  % (30008)Time elapsed: 0.128 s
% 0.20/0.57  % (30008)Instructions burned: 7 (million)
% 0.20/0.57  % (30008)------------------------------
% 0.20/0.57  % (30008)------------------------------
% 0.20/0.58  % (30011)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (30011)Termination reason: Unknown
% 0.20/0.58  % (30011)Termination phase: Saturation
% 0.20/0.58  
% 0.20/0.58  % (30011)Memory used [KB]: 6012
% 0.20/0.58  % (30011)Time elapsed: 0.005 s
% 0.20/0.58  % (30011)Instructions burned: 4 (million)
% 0.20/0.58  % (30011)------------------------------
% 0.20/0.58  % (30011)------------------------------
% 0.20/0.58  % (30004)First to succeed.
% 0.20/0.59  % (30024)Instruction limit reached!
% 0.20/0.59  % (30024)------------------------------
% 0.20/0.59  % (30024)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (30024)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (30024)Termination reason: Unknown
% 0.20/0.59  % (30024)Termination phase: Saturation
% 0.20/0.59  
% 0.20/0.59  % (30024)Memory used [KB]: 6524
% 0.20/0.59  % (30024)Time elapsed: 0.162 s
% 0.20/0.59  % (30024)Instructions burned: 25 (million)
% 0.20/0.59  % (30024)------------------------------
% 0.20/0.59  % (30024)------------------------------
% 0.20/0.60  % (30004)Refutation found. Thanks to Tanya!
% 0.20/0.60  % SZS status Theorem for theBenchmark
% 0.20/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.60  % (30004)------------------------------
% 0.20/0.60  % (30004)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60  % (30004)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60  % (30004)Termination reason: Refutation
% 0.20/0.60  
% 0.20/0.60  % (30004)Memory used [KB]: 6396
% 0.20/0.60  % (30004)Time elapsed: 0.147 s
% 0.20/0.60  % (30004)Instructions burned: 26 (million)
% 0.20/0.60  % (30004)------------------------------
% 0.20/0.60  % (30004)------------------------------
% 0.20/0.60  % (29996)Success in time 0.234 s
%------------------------------------------------------------------------------