TSTP Solution File: RNG104+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : RNG104+2 : 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 : n018.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 18:15:01 EDT 2022

% Result   : Theorem 0.18s 0.55s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   63 (  15 unt;   0 def)
%            Number of atoms       :  243 (  73 equ)
%            Maximal formula atoms :   17 (   3 avg)
%            Number of connectives :  275 (  95   ~;  91   |;  71   &)
%                                         (   6 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :  100 (  76   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f410,plain,
    $false,
    inference(avatar_sat_refutation,[],[f148,f151,f409]) ).

fof(f409,plain,
    ~ spl7_3,
    inference(avatar_contradiction_clause,[],[f408]) ).

fof(f408,plain,
    ( $false
    | ~ spl7_3 ),
    inference(subsumption_resolution,[],[f407,f147]) ).

fof(f147,plain,
    ( aElement0(xx)
    | ~ spl7_3 ),
    inference(avatar_component_clause,[],[f145]) ).

fof(f145,plain,
    ( spl7_3
  <=> aElement0(xx) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).

fof(f407,plain,
    ~ aElement0(xx),
    inference(subsumption_resolution,[],[f402,f119]) ).

fof(f119,plain,
    aElement0(xz),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ( aElement0(sK5)
    & xx = sdtasdt0(xc,sK5)
    & aElementOf0(xx,slsdtgt0(xc))
    & aElementOf0(xy,slsdtgt0(xc))
    & xy = sdtasdt0(xc,sK6)
    & aElement0(sK6)
    & aElement0(xz) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f89,f91,f90]) ).

fof(f90,plain,
    ( ? [X0] :
        ( aElement0(X0)
        & sdtasdt0(xc,X0) = xx )
   => ( aElement0(sK5)
      & xx = sdtasdt0(xc,sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f91,plain,
    ( ? [X1] :
        ( xy = sdtasdt0(xc,X1)
        & aElement0(X1) )
   => ( xy = sdtasdt0(xc,sK6)
      & aElement0(sK6) ) ),
    introduced(choice_axiom,[]) ).

fof(f89,plain,
    ( ? [X0] :
        ( aElement0(X0)
        & sdtasdt0(xc,X0) = xx )
    & aElementOf0(xx,slsdtgt0(xc))
    & aElementOf0(xy,slsdtgt0(xc))
    & ? [X1] :
        ( xy = sdtasdt0(xc,X1)
        & aElement0(X1) )
    & aElement0(xz) ),
    inference(rectify,[],[f45]) ).

fof(f45,plain,
    ( ? [X1] :
        ( aElement0(X1)
        & xx = sdtasdt0(xc,X1) )
    & aElementOf0(xx,slsdtgt0(xc))
    & aElementOf0(xy,slsdtgt0(xc))
    & ? [X0] :
        ( sdtasdt0(xc,X0) = xy
        & aElement0(X0) )
    & aElement0(xz) ),
    inference(rectify,[],[f39]) ).

fof(f39,axiom,
    ( aElementOf0(xx,slsdtgt0(xc))
    & aElement0(xz)
    & ? [X0] :
        ( sdtasdt0(xc,X0) = xy
        & aElement0(X0) )
    & aElementOf0(xy,slsdtgt0(xc))
    & ? [X0] :
        ( aElement0(X0)
        & sdtasdt0(xc,X0) = xx ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1933) ).

fof(f402,plain,
    ( ~ aElement0(xz)
    | ~ aElement0(xx) ),
    inference(trivial_inequality_removal,[],[f401]) ).

fof(f401,plain,
    ( ~ aElement0(xz)
    | sdtasdt0(xx,xz) != sdtasdt0(xx,xz)
    | ~ aElement0(xx) ),
    inference(superposition,[],[f398,f118]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aElement0(X0)
      | ~ aElement0(X1) ),
    inference(cnf_transformation,[],[f88]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( ~ aElement0(X1)
      | ~ aElement0(X0)
      | sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
    inference(rectify,[],[f72]) ).

fof(f72,plain,
    ! [X1,X0] :
      ( ~ aElement0(X0)
      | ~ aElement0(X1)
      | sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
    inference(flattening,[],[f71]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aElement0(X0)
      | ~ aElement0(X1) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ( aElement0(X0)
        & aElement0(X1) )
     => sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X1,X0] :
      ( ( aElement0(X1)
        & aElement0(X0) )
     => sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).

fof(f398,plain,
    sdtasdt0(xz,xx) != sdtasdt0(xx,xz),
    inference(subsumption_resolution,[],[f381,f119]) ).

fof(f381,plain,
    ( sdtasdt0(xz,xx) != sdtasdt0(xx,xz)
    | ~ aElement0(xz) ),
    inference(superposition,[],[f99,f320]) ).

fof(f320,plain,
    ! [X1] :
      ( sdtasdt0(xc,sdtasdt0(xu,X1)) = sdtasdt0(xx,X1)
      | ~ aElement0(X1) ),
    inference(subsumption_resolution,[],[f319,f94]) ).

fof(f94,plain,
    aElement0(xc),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,axiom,
    aElement0(xc),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1905) ).

fof(f319,plain,
    ! [X1] :
      ( ~ aElement0(xc)
      | ~ aElement0(X1)
      | sdtasdt0(xc,sdtasdt0(xu,X1)) = sdtasdt0(xx,X1) ),
    inference(subsumption_resolution,[],[f285,f113]) ).

fof(f113,plain,
    aElement0(xu),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,axiom,
    ( aElement0(xu)
    & xx = sdtasdt0(xc,xu) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1956) ).

fof(f285,plain,
    ! [X1] :
      ( sdtasdt0(xc,sdtasdt0(xu,X1)) = sdtasdt0(xx,X1)
      | ~ aElement0(X1)
      | ~ aElement0(xu)
      | ~ aElement0(xc) ),
    inference(superposition,[],[f95,f112]) ).

fof(f112,plain,
    xx = sdtasdt0(xc,xu),
    inference(cnf_transformation,[],[f40]) ).

fof(f95,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(X1,sdtasdt0(X2,X0)) = sdtasdt0(sdtasdt0(X1,X2),X0)
      | ~ aElement0(X1)
      | ~ aElement0(X2)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X0,X1,X2] :
      ( ~ aElement0(X1)
      | ~ aElement0(X2)
      | ~ aElement0(X0)
      | sdtasdt0(X1,sdtasdt0(X2,X0)) = sdtasdt0(sdtasdt0(X1,X2),X0) ),
    inference(rectify,[],[f58]) ).

fof(f58,plain,
    ! [X2,X1,X0] :
      ( ~ aElement0(X1)
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | sdtasdt0(sdtasdt0(X1,X0),X2) = sdtasdt0(X1,sdtasdt0(X0,X2)) ),
    inference(flattening,[],[f57]) ).

fof(f57,plain,
    ! [X2,X0,X1] :
      ( sdtasdt0(sdtasdt0(X1,X0),X2) = sdtasdt0(X1,sdtasdt0(X0,X2))
      | ~ aElement0(X0)
      | ~ aElement0(X2)
      | ~ aElement0(X1) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X2,X0,X1] :
      ( ( aElement0(X0)
        & aElement0(X2)
        & aElement0(X1) )
     => sdtasdt0(sdtasdt0(X1,X0),X2) = sdtasdt0(X1,sdtasdt0(X0,X2)) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X1,X0,X2] :
      ( ( aElement0(X2)
        & aElement0(X1)
        & aElement0(X0) )
     => sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).

fof(f99,plain,
    sdtasdt0(xz,xx) != sdtasdt0(xc,sdtasdt0(xu,xz)),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    sdtasdt0(xz,xx) != sdtasdt0(xc,sdtasdt0(xu,xz)),
    inference(flattening,[],[f44]) ).

fof(f44,negated_conjecture,
    sdtasdt0(xz,xx) != sdtasdt0(xc,sdtasdt0(xu,xz)),
    inference(negated_conjecture,[],[f43]) ).

fof(f43,conjecture,
    sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f151,plain,
    spl7_1,
    inference(avatar_contradiction_clause,[],[f150]) ).

fof(f150,plain,
    ( $false
    | spl7_1 ),
    inference(subsumption_resolution,[],[f149,f94]) ).

fof(f149,plain,
    ( ~ aElement0(xc)
    | spl7_1 ),
    inference(resolution,[],[f138,f128]) ).

fof(f128,plain,
    ! [X0] :
      ( aSet0(slsdtgt0(X0))
      | ~ aElement0(X0) ),
    inference(equality_resolution,[],[f108]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( ~ aElement0(X0)
      | aSet0(X1)
      | slsdtgt0(X0) != X1 ),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | ! [X1] :
          ( ( ( aSet0(X1)
              & ! [X2] :
                  ( ( ( aElement0(sK0(X0,X2))
                      & sdtasdt0(X0,sK0(X0,X2)) = X2 )
                    | ~ aElementOf0(X2,X1) )
                  & ( aElementOf0(X2,X1)
                    | ! [X4] :
                        ( ~ aElement0(X4)
                        | sdtasdt0(X0,X4) != X2 ) ) ) )
            | slsdtgt0(X0) != X1 )
          & ( slsdtgt0(X0) = X1
            | ~ aSet0(X1)
            | ( ( ~ aElementOf0(sK1(X0,X1),X1)
                | ! [X6] :
                    ( ~ aElement0(X6)
                    | sdtasdt0(X0,X6) != sK1(X0,X1) ) )
              & ( aElementOf0(sK1(X0,X1),X1)
                | ( aElement0(sK2(X0,X1))
                  & sK1(X0,X1) = sdtasdt0(X0,sK2(X0,X1)) ) ) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f77,f80,f79,f78]) ).

fof(f78,plain,
    ! [X0,X2] :
      ( ? [X3] :
          ( aElement0(X3)
          & sdtasdt0(X0,X3) = X2 )
     => ( aElement0(sK0(X0,X2))
        & sdtasdt0(X0,sK0(X0,X2)) = X2 ) ),
    introduced(choice_axiom,[]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( ( ~ aElementOf0(X5,X1)
            | ! [X6] :
                ( ~ aElement0(X6)
                | sdtasdt0(X0,X6) != X5 ) )
          & ( aElementOf0(X5,X1)
            | ? [X7] :
                ( aElement0(X7)
                & sdtasdt0(X0,X7) = X5 ) ) )
     => ( ( ~ aElementOf0(sK1(X0,X1),X1)
          | ! [X6] :
              ( ~ aElement0(X6)
              | sdtasdt0(X0,X6) != sK1(X0,X1) ) )
        & ( aElementOf0(sK1(X0,X1),X1)
          | ? [X7] :
              ( aElement0(X7)
              & sdtasdt0(X0,X7) = sK1(X0,X1) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( ? [X7] :
          ( aElement0(X7)
          & sdtasdt0(X0,X7) = sK1(X0,X1) )
     => ( aElement0(sK2(X0,X1))
        & sK1(X0,X1) = sdtasdt0(X0,sK2(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f77,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | ! [X1] :
          ( ( ( aSet0(X1)
              & ! [X2] :
                  ( ( ? [X3] :
                        ( aElement0(X3)
                        & sdtasdt0(X0,X3) = X2 )
                    | ~ aElementOf0(X2,X1) )
                  & ( aElementOf0(X2,X1)
                    | ! [X4] :
                        ( ~ aElement0(X4)
                        | sdtasdt0(X0,X4) != X2 ) ) ) )
            | slsdtgt0(X0) != X1 )
          & ( slsdtgt0(X0) = X1
            | ~ aSet0(X1)
            | ? [X5] :
                ( ( ~ aElementOf0(X5,X1)
                  | ! [X6] :
                      ( ~ aElement0(X6)
                      | sdtasdt0(X0,X6) != X5 ) )
                & ( aElementOf0(X5,X1)
                  | ? [X7] :
                      ( aElement0(X7)
                      & sdtasdt0(X0,X7) = X5 ) ) ) ) ) ),
    inference(rectify,[],[f76]) ).

fof(f76,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | ! [X1] :
          ( ( ( aSet0(X1)
              & ! [X2] :
                  ( ( ? [X3] :
                        ( aElement0(X3)
                        & sdtasdt0(X0,X3) = X2 )
                    | ~ aElementOf0(X2,X1) )
                  & ( aElementOf0(X2,X1)
                    | ! [X3] :
                        ( ~ aElement0(X3)
                        | sdtasdt0(X0,X3) != X2 ) ) ) )
            | slsdtgt0(X0) != X1 )
          & ( slsdtgt0(X0) = X1
            | ~ aSet0(X1)
            | ? [X2] :
                ( ( ~ aElementOf0(X2,X1)
                  | ! [X3] :
                      ( ~ aElement0(X3)
                      | sdtasdt0(X0,X3) != X2 ) )
                & ( aElementOf0(X2,X1)
                  | ? [X3] :
                      ( aElement0(X3)
                      & sdtasdt0(X0,X3) = X2 ) ) ) ) ) ),
    inference(flattening,[],[f75]) ).

fof(f75,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | ! [X1] :
          ( ( ( aSet0(X1)
              & ! [X2] :
                  ( ( ? [X3] :
                        ( aElement0(X3)
                        & sdtasdt0(X0,X3) = X2 )
                    | ~ aElementOf0(X2,X1) )
                  & ( aElementOf0(X2,X1)
                    | ! [X3] :
                        ( ~ aElement0(X3)
                        | sdtasdt0(X0,X3) != X2 ) ) ) )
            | slsdtgt0(X0) != X1 )
          & ( slsdtgt0(X0) = X1
            | ~ aSet0(X1)
            | ? [X2] :
                ( ( ~ aElementOf0(X2,X1)
                  | ! [X3] :
                      ( ~ aElement0(X3)
                      | sdtasdt0(X0,X3) != X2 ) )
                & ( aElementOf0(X2,X1)
                  | ? [X3] :
                      ( aElement0(X3)
                      & sdtasdt0(X0,X3) = X2 ) ) ) ) ) ),
    inference(nnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | ! [X1] :
          ( ( aSet0(X1)
            & ! [X2] :
                ( ? [X3] :
                    ( aElement0(X3)
                    & sdtasdt0(X0,X3) = X2 )
              <=> aElementOf0(X2,X1) ) )
        <=> slsdtgt0(X0) = X1 ) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,axiom,
    ! [X0] :
      ( aElement0(X0)
     => ! [X1] :
          ( ( aSet0(X1)
            & ! [X2] :
                ( ? [X3] :
                    ( aElement0(X3)
                    & sdtasdt0(X0,X3) = X2 )
              <=> aElementOf0(X2,X1) ) )
        <=> slsdtgt0(X0) = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPrIdeal) ).

fof(f138,plain,
    ( ~ aSet0(slsdtgt0(xc))
    | spl7_1 ),
    inference(avatar_component_clause,[],[f136]) ).

fof(f136,plain,
    ( spl7_1
  <=> aSet0(slsdtgt0(xc)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).

fof(f148,plain,
    ( spl7_3
    | ~ spl7_1 ),
    inference(avatar_split_clause,[],[f134,f136,f145]) ).

fof(f134,plain,
    ( ~ aSet0(slsdtgt0(xc))
    | aElement0(xx) ),
    inference(resolution,[],[f111,f123]) ).

fof(f123,plain,
    aElementOf0(xx,slsdtgt0(xc)),
    inference(cnf_transformation,[],[f92]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X1,X0)
      | aElement0(X1)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | ! [X1] :
          ( aElement0(X1)
          | ~ aElementOf0(X1,X0) ) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( aElementOf0(X1,X0)
         => aElement0(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : RNG104+2 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n018.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 12:12:40 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.18/0.48  % (17882)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.18/0.49  % (17890)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.49  % (17897)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)
% 0.18/0.50  % (17873)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.50  % (17880)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)
% 0.18/0.50  % (17890)Instruction limit reached!
% 0.18/0.50  % (17890)------------------------------
% 0.18/0.50  % (17890)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (17883)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.18/0.51  % (17888)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)
% 0.18/0.51  % (17890)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (17890)Termination reason: Unknown
% 0.18/0.51  % (17890)Termination phase: Preprocessing 3
% 0.18/0.51  
% 0.18/0.51  % (17890)Memory used [KB]: 1535
% 0.18/0.51  % (17890)Time elapsed: 0.005 s
% 0.18/0.51  % (17890)Instructions burned: 3 (million)
% 0.18/0.51  % (17890)------------------------------
% 0.18/0.51  % (17890)------------------------------
% 0.18/0.52  % (17879)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)
% 0.18/0.52  % (17888)Instruction limit reached!
% 0.18/0.52  % (17888)------------------------------
% 0.18/0.52  % (17888)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (17888)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (17888)Termination reason: Unknown
% 0.18/0.52  % (17888)Termination phase: Saturation
% 0.18/0.52  
% 0.18/0.52  % (17888)Memory used [KB]: 6140
% 0.18/0.52  % (17888)Time elapsed: 0.006 s
% 0.18/0.52  % (17888)Instructions burned: 8 (million)
% 0.18/0.52  % (17888)------------------------------
% 0.18/0.52  % (17888)------------------------------
% 0.18/0.52  % (17875)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)
% 0.18/0.52  % (17877)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)
% 0.18/0.52  % (17876)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)
% 0.18/0.52  % (17895)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)
% 0.18/0.52  % (17875)Instruction limit reached!
% 0.18/0.52  % (17875)------------------------------
% 0.18/0.52  % (17875)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (17875)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (17875)Termination reason: Unknown
% 0.18/0.52  % (17875)Termination phase: Property scanning
% 0.18/0.52  
% 0.18/0.52  % (17875)Memory used [KB]: 1535
% 0.18/0.52  % (17875)Time elapsed: 0.003 s
% 0.18/0.52  % (17875)Instructions burned: 4 (million)
% 0.18/0.52  % (17875)------------------------------
% 0.18/0.52  % (17875)------------------------------
% 0.18/0.52  % (17874)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)
% 0.18/0.52  % (17901)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)
% 0.18/0.53  % (17881)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)
% 0.18/0.53  % (17883)Instruction limit reached!
% 0.18/0.53  % (17883)------------------------------
% 0.18/0.53  % (17883)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (17883)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (17883)Termination reason: Unknown
% 0.18/0.53  % (17883)Termination phase: Saturation
% 0.18/0.53  
% 0.18/0.53  % (17883)Memory used [KB]: 6268
% 0.18/0.53  % (17883)Time elapsed: 0.127 s
% 0.18/0.53  % (17883)Instructions burned: 12 (million)
% 0.18/0.53  % (17883)------------------------------
% 0.18/0.53  % (17883)------------------------------
% 0.18/0.53  % (17878)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)
% 0.18/0.53  % (17887)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)
% 0.18/0.53  % (17893)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)
% 0.18/0.53  % (17882)Instruction limit reached!
% 0.18/0.53  % (17882)------------------------------
% 0.18/0.53  % (17882)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (17898)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.18/0.53  % (17892)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)
% 0.18/0.53  % (17882)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (17882)Termination reason: Unknown
% 0.18/0.53  % (17882)Termination phase: Saturation
% 0.18/0.53  
% 0.18/0.53  % (17882)Memory used [KB]: 6524
% 0.18/0.53  % (17882)Time elapsed: 0.113 s
% 0.18/0.53  % (17882)Instructions burned: 33 (million)
% 0.18/0.53  % (17882)------------------------------
% 0.18/0.53  % (17882)------------------------------
% 0.18/0.53  % (17887)Instruction limit reached!
% 0.18/0.53  % (17887)------------------------------
% 0.18/0.53  % (17887)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (17887)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (17887)Termination reason: Unknown
% 0.18/0.53  % (17887)Termination phase: shuffling
% 0.18/0.53  
% 0.18/0.53  % (17887)Memory used [KB]: 1535
% 0.18/0.53  % (17887)Time elapsed: 0.003 s
% 0.18/0.53  % (17887)Instructions burned: 4 (million)
% 0.18/0.53  % (17887)------------------------------
% 0.18/0.53  % (17887)------------------------------
% 0.18/0.53  % (17902)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.18/0.54  % (17896)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)
% 0.18/0.54  % (17891)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.54  % (17885)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)
% 0.18/0.54  % (17884)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)
% 0.18/0.54  % (17891)Instruction limit reached!
% 0.18/0.54  % (17891)------------------------------
% 0.18/0.54  % (17891)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (17891)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (17891)Termination reason: Unknown
% 0.18/0.54  % (17891)Termination phase: Preprocessing 3
% 0.18/0.54  
% 0.18/0.54  % (17891)Memory used [KB]: 1407
% 0.18/0.54  % (17891)Time elapsed: 0.002 s
% 0.18/0.54  % (17891)Instructions burned: 2 (million)
% 0.18/0.54  % (17891)------------------------------
% 0.18/0.54  % (17891)------------------------------
% 0.18/0.54  % (17894)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.54  % (17900)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)
% 0.18/0.54  % (17899)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.54  % (17889)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)
% 0.18/0.54  % (17886)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)
% 0.18/0.54  % (17879)First to succeed.
% 0.18/0.55  % (17879)Refutation found. Thanks to Tanya!
% 0.18/0.55  % SZS status Theorem for theBenchmark
% 0.18/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.55  % (17879)------------------------------
% 0.18/0.55  % (17879)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55  % (17879)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55  % (17879)Termination reason: Refutation
% 0.18/0.55  
% 0.18/0.55  % (17879)Memory used [KB]: 6140
% 0.18/0.55  % (17879)Time elapsed: 0.112 s
% 0.18/0.55  % (17879)Instructions burned: 11 (million)
% 0.18/0.55  % (17879)------------------------------
% 0.18/0.55  % (17879)------------------------------
% 0.18/0.55  % (17872)Success in time 0.198 s
%------------------------------------------------------------------------------