TSTP Solution File: COM013+4 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : COM013+4 : TPTP v8.1.0. Released v4.0.0.
% 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 : n004.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 15:53:09 EDT 2022

% Result   : Theorem 1.48s 0.54s
% Output   : Refutation 1.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   40 (  12 unt;   0 def)
%            Number of atoms       :  315 (  21 equ)
%            Maximal formula atoms :   46 (   7 avg)
%            Number of connectives :  401 ( 126   ~; 113   |; 140   &)
%                                         (   0 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-1 aty)
%            Number of variables   :  110 (  71   !;  39   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f176,plain,
    $false,
    inference(subsumption_resolution,[],[f172,f113]) ).

fof(f113,plain,
    aReductOfIn0(sK7(sK4),sK4,xR),
    inference(subsumption_resolution,[],[f111,f106]) ).

fof(f106,plain,
    aElement0(sK4),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ( aElement0(sK4)
    & ! [X1] :
        ( ( aNormalFormOfIn0(sK5(X1),X1,xR)
          & ( ( sdtmndtplgtdt0(X1,xR,sK5(X1))
              & ( aReductOfIn0(sK5(X1),X1,xR)
                | ( aElement0(sK6(X1))
                  & aReductOfIn0(sK6(X1),X1,xR)
                  & sdtmndtplgtdt0(sK6(X1),xR,sK5(X1)) ) ) )
            | sK5(X1) = X1 )
          & aElement0(sK5(X1))
          & ! [X4] : ~ aReductOfIn0(X4,sK5(X1),xR)
          & sdtmndtasgtdt0(X1,xR,sK5(X1)) )
        | ~ aElement0(X1)
        | ~ iLess0(X1,sK4) )
    & ! [X5] :
        ( ( ~ aElement0(X5)
          | ( ~ sdtmndtplgtdt0(sK4,xR,X5)
            & sK4 != X5
            & ! [X6] :
                ( ~ aReductOfIn0(X6,sK4,xR)
                | ~ sdtmndtplgtdt0(X6,xR,X5)
                | ~ aElement0(X6) )
            & ~ sdtmndtasgtdt0(sK4,xR,X5)
            & ~ aReductOfIn0(X5,sK4,xR) )
          | aReductOfIn0(sK7(X5),X5,xR) )
        & ~ aNormalFormOfIn0(X5,sK4,xR) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7])],[f37,f65,f64,f63,f62]) ).

fof(f62,plain,
    ( ? [X0] :
        ( aElement0(X0)
        & ! [X1] :
            ( ? [X2] :
                ( aNormalFormOfIn0(X2,X1,xR)
                & ( ( sdtmndtplgtdt0(X1,xR,X2)
                    & ( aReductOfIn0(X2,X1,xR)
                      | ? [X3] :
                          ( aElement0(X3)
                          & aReductOfIn0(X3,X1,xR)
                          & sdtmndtplgtdt0(X3,xR,X2) ) ) )
                  | X1 = X2 )
                & aElement0(X2)
                & ! [X4] : ~ aReductOfIn0(X4,X2,xR)
                & sdtmndtasgtdt0(X1,xR,X2) )
            | ~ aElement0(X1)
            | ~ iLess0(X1,X0) )
        & ! [X5] :
            ( ( ~ aElement0(X5)
              | ( ~ sdtmndtplgtdt0(X0,xR,X5)
                & X0 != X5
                & ! [X6] :
                    ( ~ aReductOfIn0(X6,X0,xR)
                    | ~ sdtmndtplgtdt0(X6,xR,X5)
                    | ~ aElement0(X6) )
                & ~ sdtmndtasgtdt0(X0,xR,X5)
                & ~ aReductOfIn0(X5,X0,xR) )
              | ? [X7] : aReductOfIn0(X7,X5,xR) )
            & ~ aNormalFormOfIn0(X5,X0,xR) ) )
   => ( aElement0(sK4)
      & ! [X1] :
          ( ? [X2] :
              ( aNormalFormOfIn0(X2,X1,xR)
              & ( ( sdtmndtplgtdt0(X1,xR,X2)
                  & ( aReductOfIn0(X2,X1,xR)
                    | ? [X3] :
                        ( aElement0(X3)
                        & aReductOfIn0(X3,X1,xR)
                        & sdtmndtplgtdt0(X3,xR,X2) ) ) )
                | X1 = X2 )
              & aElement0(X2)
              & ! [X4] : ~ aReductOfIn0(X4,X2,xR)
              & sdtmndtasgtdt0(X1,xR,X2) )
          | ~ aElement0(X1)
          | ~ iLess0(X1,sK4) )
      & ! [X5] :
          ( ( ~ aElement0(X5)
            | ( ~ sdtmndtplgtdt0(sK4,xR,X5)
              & sK4 != X5
              & ! [X6] :
                  ( ~ aReductOfIn0(X6,sK4,xR)
                  | ~ sdtmndtplgtdt0(X6,xR,X5)
                  | ~ aElement0(X6) )
              & ~ sdtmndtasgtdt0(sK4,xR,X5)
              & ~ aReductOfIn0(X5,sK4,xR) )
            | ? [X7] : aReductOfIn0(X7,X5,xR) )
          & ~ aNormalFormOfIn0(X5,sK4,xR) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f63,plain,
    ! [X1] :
      ( ? [X2] :
          ( aNormalFormOfIn0(X2,X1,xR)
          & ( ( sdtmndtplgtdt0(X1,xR,X2)
              & ( aReductOfIn0(X2,X1,xR)
                | ? [X3] :
                    ( aElement0(X3)
                    & aReductOfIn0(X3,X1,xR)
                    & sdtmndtplgtdt0(X3,xR,X2) ) ) )
            | X1 = X2 )
          & aElement0(X2)
          & ! [X4] : ~ aReductOfIn0(X4,X2,xR)
          & sdtmndtasgtdt0(X1,xR,X2) )
     => ( aNormalFormOfIn0(sK5(X1),X1,xR)
        & ( ( sdtmndtplgtdt0(X1,xR,sK5(X1))
            & ( aReductOfIn0(sK5(X1),X1,xR)
              | ? [X3] :
                  ( aElement0(X3)
                  & aReductOfIn0(X3,X1,xR)
                  & sdtmndtplgtdt0(X3,xR,sK5(X1)) ) ) )
          | sK5(X1) = X1 )
        & aElement0(sK5(X1))
        & ! [X4] : ~ aReductOfIn0(X4,sK5(X1),xR)
        & sdtmndtasgtdt0(X1,xR,sK5(X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f64,plain,
    ! [X1] :
      ( ? [X3] :
          ( aElement0(X3)
          & aReductOfIn0(X3,X1,xR)
          & sdtmndtplgtdt0(X3,xR,sK5(X1)) )
     => ( aElement0(sK6(X1))
        & aReductOfIn0(sK6(X1),X1,xR)
        & sdtmndtplgtdt0(sK6(X1),xR,sK5(X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f65,plain,
    ! [X5] :
      ( ? [X7] : aReductOfIn0(X7,X5,xR)
     => aReductOfIn0(sK7(X5),X5,xR) ),
    introduced(choice_axiom,[]) ).

fof(f37,plain,
    ? [X0] :
      ( aElement0(X0)
      & ! [X1] :
          ( ? [X2] :
              ( aNormalFormOfIn0(X2,X1,xR)
              & ( ( sdtmndtplgtdt0(X1,xR,X2)
                  & ( aReductOfIn0(X2,X1,xR)
                    | ? [X3] :
                        ( aElement0(X3)
                        & aReductOfIn0(X3,X1,xR)
                        & sdtmndtplgtdt0(X3,xR,X2) ) ) )
                | X1 = X2 )
              & aElement0(X2)
              & ! [X4] : ~ aReductOfIn0(X4,X2,xR)
              & sdtmndtasgtdt0(X1,xR,X2) )
          | ~ aElement0(X1)
          | ~ iLess0(X1,X0) )
      & ! [X5] :
          ( ( ~ aElement0(X5)
            | ( ~ sdtmndtplgtdt0(X0,xR,X5)
              & X0 != X5
              & ! [X6] :
                  ( ~ aReductOfIn0(X6,X0,xR)
                  | ~ sdtmndtplgtdt0(X6,xR,X5)
                  | ~ aElement0(X6) )
              & ~ sdtmndtasgtdt0(X0,xR,X5)
              & ~ aReductOfIn0(X5,X0,xR) )
            | ? [X7] : aReductOfIn0(X7,X5,xR) )
          & ~ aNormalFormOfIn0(X5,X0,xR) ) ),
    inference(flattening,[],[f36]) ).

fof(f36,plain,
    ? [X0] :
      ( ! [X5] :
          ( ( ~ aElement0(X5)
            | ( ~ sdtmndtplgtdt0(X0,xR,X5)
              & X0 != X5
              & ! [X6] :
                  ( ~ aReductOfIn0(X6,X0,xR)
                  | ~ sdtmndtplgtdt0(X6,xR,X5)
                  | ~ aElement0(X6) )
              & ~ sdtmndtasgtdt0(X0,xR,X5)
              & ~ aReductOfIn0(X5,X0,xR) )
            | ? [X7] : aReductOfIn0(X7,X5,xR) )
          & ~ aNormalFormOfIn0(X5,X0,xR) )
      & ! [X1] :
          ( ? [X2] :
              ( aNormalFormOfIn0(X2,X1,xR)
              & ( ( sdtmndtplgtdt0(X1,xR,X2)
                  & ( aReductOfIn0(X2,X1,xR)
                    | ? [X3] :
                        ( aElement0(X3)
                        & aReductOfIn0(X3,X1,xR)
                        & sdtmndtplgtdt0(X3,xR,X2) ) ) )
                | X1 = X2 )
              & aElement0(X2)
              & ! [X4] : ~ aReductOfIn0(X4,X2,xR)
              & sdtmndtasgtdt0(X1,xR,X2) )
          | ~ iLess0(X1,X0)
          | ~ aElement0(X1) )
      & aElement0(X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,plain,
    ~ ! [X0] :
        ( aElement0(X0)
       => ( ! [X1] :
              ( aElement0(X1)
             => ( iLess0(X1,X0)
               => ? [X2] :
                    ( ~ ? [X4] : aReductOfIn0(X4,X2,xR)
                    & aElement0(X2)
                    & aNormalFormOfIn0(X2,X1,xR)
                    & sdtmndtasgtdt0(X1,xR,X2)
                    & ( ( sdtmndtplgtdt0(X1,xR,X2)
                        & ( aReductOfIn0(X2,X1,xR)
                          | ? [X3] :
                              ( aElement0(X3)
                              & aReductOfIn0(X3,X1,xR)
                              & sdtmndtplgtdt0(X3,xR,X2) ) ) )
                      | X1 = X2 ) ) ) )
         => ? [X5] :
              ( aNormalFormOfIn0(X5,X0,xR)
              | ( ~ ? [X7] : aReductOfIn0(X7,X5,xR)
                & ( ? [X6] :
                      ( aReductOfIn0(X6,X0,xR)
                      & sdtmndtplgtdt0(X6,xR,X5)
                      & aElement0(X6) )
                  | X0 = X5
                  | sdtmndtasgtdt0(X0,xR,X5)
                  | sdtmndtplgtdt0(X0,xR,X5)
                  | aReductOfIn0(X5,X0,xR) )
                & aElement0(X5) ) ) ) ),
    inference(rectify,[],[f16]) ).

fof(f16,negated_conjecture,
    ~ ! [X0] :
        ( aElement0(X0)
       => ( ! [X1] :
              ( aElement0(X1)
             => ( iLess0(X1,X0)
               => ? [X2] :
                    ( ( ( sdtmndtplgtdt0(X1,xR,X2)
                        & ( aReductOfIn0(X2,X1,xR)
                          | ? [X3] :
                              ( aElement0(X3)
                              & aReductOfIn0(X3,X1,xR)
                              & sdtmndtplgtdt0(X3,xR,X2) ) ) )
                      | X1 = X2 )
                    & aElement0(X2)
                    & sdtmndtasgtdt0(X1,xR,X2)
                    & aNormalFormOfIn0(X2,X1,xR)
                    & ~ ? [X3] : aReductOfIn0(X3,X2,xR) ) ) )
         => ? [X1] :
              ( ( ( aReductOfIn0(X1,X0,xR)
                  | sdtmndtplgtdt0(X0,xR,X1)
                  | sdtmndtasgtdt0(X0,xR,X1)
                  | X0 = X1
                  | ? [X2] :
                      ( sdtmndtplgtdt0(X2,xR,X1)
                      & aReductOfIn0(X2,X0,xR)
                      & aElement0(X2) ) )
                & ~ ? [X2] : aReductOfIn0(X2,X1,xR)
                & aElement0(X1) )
              | aNormalFormOfIn0(X1,X0,xR) ) ) ),
    inference(negated_conjecture,[],[f15]) ).

fof(f15,conjecture,
    ! [X0] :
      ( aElement0(X0)
     => ( ! [X1] :
            ( aElement0(X1)
           => ( iLess0(X1,X0)
             => ? [X2] :
                  ( ( ( sdtmndtplgtdt0(X1,xR,X2)
                      & ( aReductOfIn0(X2,X1,xR)
                        | ? [X3] :
                            ( aElement0(X3)
                            & aReductOfIn0(X3,X1,xR)
                            & sdtmndtplgtdt0(X3,xR,X2) ) ) )
                    | X1 = X2 )
                  & aElement0(X2)
                  & sdtmndtasgtdt0(X1,xR,X2)
                  & aNormalFormOfIn0(X2,X1,xR)
                  & ~ ? [X3] : aReductOfIn0(X3,X2,xR) ) ) )
       => ? [X1] :
            ( ( ( aReductOfIn0(X1,X0,xR)
                | sdtmndtplgtdt0(X0,xR,X1)
                | sdtmndtasgtdt0(X0,xR,X1)
                | X0 = X1
                | ? [X2] :
                    ( sdtmndtplgtdt0(X2,xR,X1)
                    & aReductOfIn0(X2,X0,xR)
                    & aElement0(X2) ) )
              & ~ ? [X2] : aReductOfIn0(X2,X1,xR)
              & aElement0(X1) )
            | aNormalFormOfIn0(X1,X0,xR) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f111,plain,
    ( ~ aElement0(sK4)
    | aReductOfIn0(sK7(sK4),sK4,xR) ),
    inference(equality_resolution,[],[f96]) ).

fof(f96,plain,
    ! [X5] :
      ( ~ aElement0(X5)
      | sK4 != X5
      | aReductOfIn0(sK7(X5),X5,xR) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f172,plain,
    ~ aReductOfIn0(sK7(sK4),sK4,xR),
    inference(backward_demodulation,[],[f134,f163]) ).

fof(f163,plain,
    sK5(sK7(sK4)) = sK7(sK4),
    inference(unit_resulting_resolution,[],[f117,f125,f162,f104]) ).

fof(f104,plain,
    ! [X1] :
      ( sdtmndtplgtdt0(X1,xR,sK5(X1))
      | sK5(X1) = X1
      | ~ iLess0(X1,sK4)
      | ~ aElement0(X1) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f162,plain,
    ~ sdtmndtplgtdt0(sK7(sK4),xR,sK5(sK7(sK4))),
    inference(unit_resulting_resolution,[],[f117,f113,f130,f128,f95]) ).

fof(f95,plain,
    ! [X6,X5] :
      ( ~ sdtmndtplgtdt0(X6,xR,X5)
      | ~ aElement0(X5)
      | ~ aElement0(X6)
      | ~ aReductOfIn0(X6,sK4,xR)
      | aReductOfIn0(sK7(X5),X5,xR) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f128,plain,
    ! [X0] : ~ aReductOfIn0(X0,sK5(sK7(sK4)),xR),
    inference(unit_resulting_resolution,[],[f117,f125,f99]) ).

fof(f99,plain,
    ! [X1,X4] :
      ( ~ aReductOfIn0(X4,sK5(X1),xR)
      | ~ iLess0(X1,sK4)
      | ~ aElement0(X1) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f130,plain,
    aElement0(sK5(sK7(sK4))),
    inference(unit_resulting_resolution,[],[f117,f125,f100]) ).

fof(f100,plain,
    ! [X1] :
      ( ~ iLess0(X1,sK4)
      | ~ aElement0(X1)
      | aElement0(sK5(X1)) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f125,plain,
    iLess0(sK7(sK4),sK4),
    inference(unit_resulting_resolution,[],[f106,f117,f113,f79]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( ~ aReductOfIn0(X0,X1,xR)
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | iLess0(X0,X1) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ( ! [X0,X1] :
        ( ~ aElement0(X0)
        | iLess0(X0,X1)
        | ( ~ aReductOfIn0(X0,X1,xR)
          & ! [X2] :
              ( ~ aElement0(X2)
              | ~ sdtmndtplgtdt0(X2,xR,X0)
              | ~ aReductOfIn0(X2,X1,xR) )
          & ~ sdtmndtplgtdt0(X1,xR,X0) )
        | ~ aElement0(X1) )
    & isTerminating0(xR)
    & aRewritingSystem0(xR) ),
    inference(rectify,[],[f29]) ).

fof(f29,plain,
    ( ! [X1,X0] :
        ( ~ aElement0(X1)
        | iLess0(X1,X0)
        | ( ~ aReductOfIn0(X1,X0,xR)
          & ! [X2] :
              ( ~ aElement0(X2)
              | ~ sdtmndtplgtdt0(X2,xR,X1)
              | ~ aReductOfIn0(X2,X0,xR) )
          & ~ sdtmndtplgtdt0(X0,xR,X1) )
        | ~ aElement0(X0) )
    & isTerminating0(xR)
    & aRewritingSystem0(xR) ),
    inference(flattening,[],[f28]) ).

fof(f28,plain,
    ( aRewritingSystem0(xR)
    & isTerminating0(xR)
    & ! [X1,X0] :
        ( iLess0(X1,X0)
        | ( ~ aReductOfIn0(X1,X0,xR)
          & ! [X2] :
              ( ~ aElement0(X2)
              | ~ sdtmndtplgtdt0(X2,xR,X1)
              | ~ aReductOfIn0(X2,X0,xR) )
          & ~ sdtmndtplgtdt0(X0,xR,X1) )
        | ~ aElement0(X1)
        | ~ aElement0(X0) ) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ( aRewritingSystem0(xR)
    & isTerminating0(xR)
    & ! [X1,X0] :
        ( ( aElement0(X1)
          & aElement0(X0) )
       => ( ( ? [X2] :
                ( sdtmndtplgtdt0(X2,xR,X1)
                & aElement0(X2)
                & aReductOfIn0(X2,X0,xR) )
            | aReductOfIn0(X1,X0,xR)
            | sdtmndtplgtdt0(X0,xR,X1) )
         => iLess0(X1,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__587) ).

fof(f117,plain,
    aElement0(sK7(sK4)),
    inference(unit_resulting_resolution,[],[f75,f106,f113,f108]) ).

fof(f108,plain,
    ! [X2,X0,X1] :
      ( ~ aReductOfIn0(X2,X0,X1)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X0)
      | aElement0(X2) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ~ aReductOfIn0(X2,X0,X1)
          | aElement0(X2) )
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(X1) ),
    inference(rectify,[],[f27]) ).

fof(f27,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( ~ aReductOfIn0(X2,X1,X0)
          | aElement0(X2) )
      | ~ aElement0(X1)
      | ~ aRewritingSystem0(X0) ),
    inference(flattening,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ~ aReductOfIn0(X2,X1,X0)
          | aElement0(X2) )
      | ~ aRewritingSystem0(X0)
      | ~ aElement0(X1) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ( aRewritingSystem0(X0)
        & aElement0(X1) )
     => ! [X2] :
          ( aReductOfIn0(X2,X1,X0)
         => aElement0(X2) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X1,X0] :
      ( ( aRewritingSystem0(X1)
        & aElement0(X0) )
     => ! [X2] :
          ( aReductOfIn0(X2,X0,X1)
         => aElement0(X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mReduct) ).

fof(f75,plain,
    aRewritingSystem0(xR),
    inference(cnf_transformation,[],[f49]) ).

fof(f134,plain,
    ~ aReductOfIn0(sK5(sK7(sK4)),sK4,xR),
    inference(unit_resulting_resolution,[],[f130,f128,f93]) ).

fof(f93,plain,
    ! [X5] :
      ( aReductOfIn0(sK7(X5),X5,xR)
      | ~ aReductOfIn0(X5,sK4,xR)
      | ~ aElement0(X5) ),
    inference(cnf_transformation,[],[f66]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : COM013+4 : TPTP v8.1.0. Released v4.0.0.
% 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 : n004.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   : Mon Aug 29 17:00:05 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (12899)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)
% 0.19/0.50  % (12915)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50  % (12901)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)
% 0.19/0.50  % (12922)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)
% 0.19/0.50  % (12909)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  % (12900)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)
% 0.19/0.51  % (12904)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)
% 0.19/0.51  % (12909)Instruction limit reached!
% 0.19/0.51  % (12909)------------------------------
% 0.19/0.51  % (12909)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (12909)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (12909)Termination reason: Unknown
% 0.19/0.51  % (12909)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (12909)Memory used [KB]: 6140
% 0.19/0.51  % (12909)Time elapsed: 0.124 s
% 0.19/0.51  % (12909)Instructions burned: 7 (million)
% 0.19/0.51  % (12909)------------------------------
% 0.19/0.51  % (12909)------------------------------
% 0.19/0.51  % (12912)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)
% 0.19/0.51  % (12910)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  % (12911)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)
% 0.19/0.51  % (12900)Instruction limit reached!
% 0.19/0.51  % (12900)------------------------------
% 0.19/0.51  % (12900)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (12900)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (12900)Termination reason: Unknown
% 0.19/0.51  % (12900)Termination phase: Property scanning
% 0.19/0.51  
% 0.19/0.51  % (12900)Memory used [KB]: 1535
% 0.19/0.51  % (12900)Time elapsed: 0.004 s
% 0.19/0.51  % (12900)Instructions burned: 4 (million)
% 0.19/0.51  % (12900)------------------------------
% 0.19/0.51  % (12900)------------------------------
% 0.19/0.51  % (12926)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)
% 0.19/0.52  % (12911)First to succeed.
% 1.24/0.52  % (12907)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)
% 1.24/0.52  % (12917)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)
% 1.24/0.52  % (12915)Instruction limit reached!
% 1.24/0.52  % (12915)------------------------------
% 1.24/0.52  % (12915)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.52  % (12920)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.24/0.52  % (12918)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)
% 1.24/0.52  % (12905)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)
% 1.24/0.52  % (12912)Instruction limit reached!
% 1.24/0.52  % (12912)------------------------------
% 1.24/0.52  % (12912)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.52  % (12912)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.24/0.52  % (12912)Termination reason: Unknown
% 1.24/0.52  % (12912)Termination phase: Property scanning
% 1.24/0.52  
% 1.24/0.52  % (12912)Memory used [KB]: 1535
% 1.24/0.52  % (12912)Time elapsed: 0.004 s
% 1.24/0.52  % (12912)Instructions burned: 3 (million)
% 1.24/0.52  % (12912)------------------------------
% 1.24/0.52  % (12912)------------------------------
% 1.24/0.52  % (12902)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.24/0.52  % (12915)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.24/0.52  % (12915)Termination reason: Unknown
% 1.24/0.52  % (12915)Termination phase: Property scanning
% 1.24/0.52  
% 1.24/0.52  % (12915)Memory used [KB]: 1535
% 1.24/0.52  % (12915)Time elapsed: 0.003 s
% 1.24/0.52  % (12915)Instructions burned: 3 (million)
% 1.24/0.52  % (12915)------------------------------
% 1.24/0.52  % (12915)------------------------------
% 1.24/0.52  % (12908)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.24/0.53  % (12899)Instruction limit reached!
% 1.24/0.53  % (12899)------------------------------
% 1.24/0.53  % (12899)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.53  % (12899)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.24/0.53  % (12899)Termination reason: Unknown
% 1.24/0.53  % (12899)Termination phase: Saturation
% 1.24/0.53  
% 1.24/0.53  % (12899)Memory used [KB]: 6268
% 1.24/0.53  % (12899)Time elapsed: 0.120 s
% 1.24/0.53  % (12899)Instructions burned: 13 (million)
% 1.24/0.53  % (12899)------------------------------
% 1.24/0.53  % (12899)------------------------------
% 1.24/0.53  % (12921)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.24/0.53  % (12924)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)
% 1.24/0.53  % (12927)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)
% 1.24/0.53  % (12928)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)
% 1.24/0.53  % (12898)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.24/0.53  % (12913)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)
% 1.24/0.53  % (12913)Instruction limit reached!
% 1.24/0.53  % (12913)------------------------------
% 1.24/0.53  % (12913)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.53  % (12913)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.24/0.53  % (12913)Termination reason: Unknown
% 1.24/0.53  % (12913)Termination phase: Saturation
% 1.24/0.53  
% 1.24/0.53  % (12913)Memory used [KB]: 6140
% 1.24/0.53  % (12913)Time elapsed: 0.098 s
% 1.24/0.53  % (12913)Instructions burned: 8 (million)
% 1.24/0.53  % (12913)------------------------------
% 1.24/0.53  % (12913)------------------------------
% 1.24/0.53  % (12925)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)
% 1.24/0.54  % (12927)Instruction limit reached!
% 1.24/0.54  % (12927)------------------------------
% 1.24/0.54  % (12927)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.54  % (12919)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.24/0.54  % (12927)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.24/0.54  % (12927)Termination reason: Unknown
% 1.24/0.54  % (12927)Termination phase: Saturation
% 1.24/0.54  
% 1.24/0.54  % (12927)Memory used [KB]: 6140
% 1.24/0.54  % (12927)Time elapsed: 0.149 s
% 1.24/0.54  % (12927)Instructions burned: 8 (million)
% 1.24/0.54  % (12927)------------------------------
% 1.24/0.54  % (12927)------------------------------
% 1.24/0.54  % (12901)Also succeeded, but the first one will report.
% 1.48/0.54  % (12911)Refutation found. Thanks to Tanya!
% 1.48/0.54  % SZS status Theorem for theBenchmark
% 1.48/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.48/0.54  % (12911)------------------------------
% 1.48/0.54  % (12911)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.54  % (12911)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.54  % (12911)Termination reason: Refutation
% 1.48/0.54  
% 1.48/0.54  % (12911)Memory used [KB]: 6140
% 1.48/0.54  % (12911)Time elapsed: 0.118 s
% 1.48/0.54  % (12911)Instructions burned: 6 (million)
% 1.48/0.54  % (12911)------------------------------
% 1.48/0.54  % (12911)------------------------------
% 1.48/0.54  % (12897)Success in time 0.185 s
%------------------------------------------------------------------------------