TSTP Solution File: COM137+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : COM137+1 : TPTP v8.1.0. Released v6.4.0.
% 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 : n017.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 15:53:23 EDT 2022

% Result   : Theorem 1.69s 0.60s
% Output   : Refutation 1.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   92 (  24 unt;   0 def)
%            Number of atoms       :  309 ( 117 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  319 ( 102   ~; 102   |;  90   &)
%                                         (   0 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   21 (  21 usr;   6 con; 0-3 aty)
%            Number of variables   :  332 ( 257   !;  75   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f694,plain,
    $false,
    inference(unit_resulting_resolution,[],[f293,f610,f693,f330]) ).

fof(f330,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ vtcheck(X3,X1,varrow(X0,X4))
      | ~ vtcheck(X3,X2,X0)
      | vtcheck(X3,vapp(X1,X2),X4) ),
    inference(cnf_transformation,[],[f227]) ).

fof(f227,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ vtcheck(X3,X2,X0)
      | ~ vtcheck(X3,X1,varrow(X0,X4))
      | vtcheck(X3,vapp(X1,X2),X4) ),
    inference(rectify,[],[f136]) ).

fof(f136,plain,
    ! [X4,X1,X0,X3,X2] :
      ( ~ vtcheck(X3,X0,X4)
      | ~ vtcheck(X3,X1,varrow(X4,X2))
      | vtcheck(X3,vapp(X1,X0),X2) ),
    inference(flattening,[],[f135]) ).

fof(f135,plain,
    ! [X4,X2,X3,X1,X0] :
      ( vtcheck(X3,vapp(X1,X0),X2)
      | ~ vtcheck(X3,X1,varrow(X4,X2))
      | ~ vtcheck(X3,X0,X4) ),
    inference(ennf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X4,X2,X3,X1,X0] :
      ( ( vtcheck(X3,X1,varrow(X4,X2))
        & vtcheck(X3,X0,X4) )
     => vtcheck(X3,vapp(X1,X0),X2) ),
    inference(rectify,[],[f53]) ).

fof(f53,axiom,
    ! [X12,X11,X14,X19,X9] :
      ( ( vtcheck(X19,X11,varrow(X9,X14))
        & vtcheck(X19,X12,X9) )
     => vtcheck(X19,vapp(X11,X12),X14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-app') ).

fof(f693,plain,
    vtcheck(sK9,ve2app,sK50(vapp(ve1app,ve2app),sK10,vbind(sK8,sK11,sK9))),
    inference(subsumption_resolution,[],[f685,f501]) ).

fof(f501,plain,
    ~ visFreeVar(sK8,ve2app),
    inference(resolution,[],[f294,f466]) ).

fof(f466,plain,
    ! [X2,X3,X4] :
      ( visFreeVar(X3,vapp(X2,X4))
      | ~ visFreeVar(X3,X4) ),
    inference(equality_resolution,[],[f465]) ).

fof(f465,plain,
    ! [X2,X3,X0,X4] :
      ( X0 != X3
      | ~ visFreeVar(X3,X4)
      | visFreeVar(X0,vapp(X2,X4)) ),
    inference(equality_resolution,[],[f328]) ).

fof(f328,plain,
    ! [X2,X3,X0,X1,X4] :
      ( vapp(X2,X4) != X1
      | X0 != X3
      | ~ visFreeVar(X3,X4)
      | visFreeVar(X0,X1) ),
    inference(cnf_transformation,[],[f226]) ).

fof(f226,plain,
    ! [X0,X1,X2,X3,X4] :
      ( vapp(X2,X4) != X1
      | X0 != X3
      | ( ( ~ visFreeVar(X0,X1)
          | visFreeVar(X3,X2)
          | visFreeVar(X3,X4) )
        & ( ( ~ visFreeVar(X3,X4)
            & ~ visFreeVar(X3,X2) )
          | visFreeVar(X0,X1) ) ) ),
    inference(rectify,[],[f140]) ).

fof(f140,plain,
    ! [X0,X2,X1,X4,X3] :
      ( vapp(X1,X3) != X2
      | X0 != X4
      | ( ( ~ visFreeVar(X0,X2)
          | visFreeVar(X4,X1)
          | visFreeVar(X4,X3) )
        & ( ( ~ visFreeVar(X4,X3)
            & ~ visFreeVar(X4,X1) )
          | visFreeVar(X0,X2) ) ) ),
    inference(flattening,[],[f139]) ).

fof(f139,plain,
    ! [X2,X0,X1,X3,X4] :
      ( ( ( ( ~ visFreeVar(X4,X3)
            & ~ visFreeVar(X4,X1) )
          | visFreeVar(X0,X2) )
        & ( visFreeVar(X4,X1)
          | visFreeVar(X4,X3)
          | ~ visFreeVar(X0,X2) ) )
      | vapp(X1,X3) != X2
      | X0 != X4 ),
    inference(ennf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X2,X0,X1,X3,X4] :
      ( ( vapp(X1,X3) = X2
        & X0 = X4 )
     => ( ( ( visFreeVar(X4,X3)
            | visFreeVar(X4,X1) )
         => visFreeVar(X0,X2) )
        & ( visFreeVar(X0,X2)
         => ( visFreeVar(X4,X1)
            | visFreeVar(X4,X3) ) ) ) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X0,X11,X3,X12,X13] :
      ( ( vapp(X11,X12) = X3
        & X0 = X13 )
     => ( ( visFreeVar(X0,X3)
         => ( visFreeVar(X13,X11)
            | visFreeVar(X13,X12) ) )
        & ( ( visFreeVar(X13,X11)
            | visFreeVar(X13,X12) )
         => visFreeVar(X0,X3) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',isFreeVar2) ).

fof(f294,plain,
    ~ visFreeVar(sK8,vapp(ve1app,ve2app)),
    inference(cnf_transformation,[],[f203]) ).

fof(f203,plain,
    ( vtcheck(vbind(sK8,sK11,sK9),vapp(ve1app,ve2app),sK10)
    & ~ visFreeVar(sK8,vapp(ve1app,ve2app))
    & ~ vtcheck(sK9,vapp(ve1app,ve2app),sK10) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11])],[f201,f202]) ).

fof(f202,plain,
    ( ? [X0,X1,X2,X3] :
        ( vtcheck(vbind(X0,X3,X1),vapp(ve1app,ve2app),X2)
        & ~ visFreeVar(X0,vapp(ve1app,ve2app))
        & ~ vtcheck(X1,vapp(ve1app,ve2app),X2) )
   => ( vtcheck(vbind(sK8,sK11,sK9),vapp(ve1app,ve2app),sK10)
      & ~ visFreeVar(sK8,vapp(ve1app,ve2app))
      & ~ vtcheck(sK9,vapp(ve1app,ve2app),sK10) ) ),
    introduced(choice_axiom,[]) ).

fof(f201,plain,
    ? [X0,X1,X2,X3] :
      ( vtcheck(vbind(X0,X3,X1),vapp(ve1app,ve2app),X2)
      & ~ visFreeVar(X0,vapp(ve1app,ve2app))
      & ~ vtcheck(X1,vapp(ve1app,ve2app),X2) ),
    inference(rectify,[],[f175]) ).

fof(f175,plain,
    ? [X3,X1,X2,X0] :
      ( vtcheck(vbind(X3,X0,X1),vapp(ve1app,ve2app),X2)
      & ~ visFreeVar(X3,vapp(ve1app,ve2app))
      & ~ vtcheck(X1,vapp(ve1app,ve2app),X2) ),
    inference(flattening,[],[f174]) ).

fof(f174,plain,
    ? [X2,X0,X3,X1] :
      ( ~ vtcheck(X1,vapp(ve1app,ve2app),X2)
      & ~ visFreeVar(X3,vapp(ve1app,ve2app))
      & vtcheck(vbind(X3,X0,X1),vapp(ve1app,ve2app),X2) ),
    inference(ennf_transformation,[],[f62]) ).

fof(f62,plain,
    ~ ! [X2,X0,X3,X1] :
        ( ( ~ visFreeVar(X3,vapp(ve1app,ve2app))
          & vtcheck(vbind(X3,X0,X1),vapp(ve1app,ve2app),X2) )
       => vtcheck(X1,vapp(ve1app,ve2app),X2) ),
    inference(rectify,[],[f59]) ).

fof(f59,negated_conjecture,
    ~ ! [X9,X19,X14,X8] :
        ( ( vtcheck(vbind(X8,X9,X19),vapp(ve1app,ve2app),X14)
          & ~ visFreeVar(X8,vapp(ve1app,ve2app)) )
       => vtcheck(X19,vapp(ve1app,ve2app),X14) ),
    inference(negated_conjecture,[],[f58]) ).

fof(f58,conjecture,
    ! [X9,X19,X14,X8] :
      ( ( vtcheck(vbind(X8,X9,X19),vapp(ve1app,ve2app),X14)
        & ~ visFreeVar(X8,vapp(ve1app,ve2app)) )
     => vtcheck(X19,vapp(ve1app,ve2app),X14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Strong-app') ).

fof(f685,plain,
    ( visFreeVar(sK8,ve2app)
    | vtcheck(sK9,ve2app,sK50(vapp(ve1app,ve2app),sK10,vbind(sK8,sK11,sK9))) ),
    inference(resolution,[],[f684,f318]) ).

fof(f318,plain,
    ! [X2,X3,X0,X1] :
      ( ~ vtcheck(vbind(X0,X2,X3),ve2app,X1)
      | visFreeVar(X0,ve2app)
      | vtcheck(X3,ve2app,X1) ),
    inference(cnf_transformation,[],[f219]) ).

fof(f219,plain,
    ! [X0,X1,X2,X3] :
      ( ~ vtcheck(vbind(X0,X2,X3),ve2app,X1)
      | vtcheck(X3,ve2app,X1)
      | visFreeVar(X0,ve2app) ),
    inference(rectify,[],[f158]) ).

fof(f158,plain,
    ! [X2,X3,X1,X0] :
      ( ~ vtcheck(vbind(X2,X1,X0),ve2app,X3)
      | vtcheck(X0,ve2app,X3)
      | visFreeVar(X2,ve2app) ),
    inference(flattening,[],[f157]) ).

fof(f157,plain,
    ! [X1,X3,X2,X0] :
      ( vtcheck(X0,ve2app,X3)
      | visFreeVar(X2,ve2app)
      | ~ vtcheck(vbind(X2,X1,X0),ve2app,X3) ),
    inference(ennf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X1,X3,X2,X0] :
      ( ( ~ visFreeVar(X2,ve2app)
        & vtcheck(vbind(X2,X1,X0),ve2app,X3) )
     => vtcheck(X0,ve2app,X3) ),
    inference(rectify,[],[f57]) ).

fof(f57,axiom,
    ! [X19,X9,X8,X14] :
      ( ( ~ visFreeVar(X8,ve2app)
        & vtcheck(vbind(X8,X9,X19),ve2app,X14) )
     => vtcheck(X19,ve2app,X14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Strong-app-IH2') ).

fof(f684,plain,
    vtcheck(vbind(sK8,sK11,sK9),ve2app,sK50(vapp(ve1app,ve2app),sK10,vbind(sK8,sK11,sK9))),
    inference(backward_demodulation,[],[f519,f682]) ).

fof(f682,plain,
    ve2app = sK51(vapp(ve1app,ve2app),sK10,vbind(sK8,sK11,sK9)),
    inference(equality_resolution,[],[f559]) ).

fof(f559,plain,
    ! [X8,X7] :
      ( vapp(ve1app,ve2app) != vapp(X7,X8)
      | sK51(vapp(ve1app,ve2app),sK10,vbind(sK8,sK11,sK9)) = X8 ),
    inference(superposition,[],[f306,f517]) ).

fof(f517,plain,
    vapp(ve1app,ve2app) = vapp(sK49(vapp(ve1app,ve2app),sK10,vbind(sK8,sK11,sK9)),sK51(vapp(ve1app,ve2app),sK10,vbind(sK8,sK11,sK9))),
    inference(resolution,[],[f513,f386]) ).

fof(f386,plain,
    ! [X2,X0,X1] :
      ( ~ sP7(X0,X1,X2)
      | vapp(sK49(X0,X1,X2),sK51(X0,X1,X2)) = X0 ),
    inference(cnf_transformation,[],[f273]) ).

fof(f273,plain,
    ! [X0,X1,X2] :
      ( ( vapp(sK49(X0,X1,X2),sK51(X0,X1,X2)) = X0
        & vtcheck(X2,sK49(X0,X1,X2),varrow(sK50(X0,X1,X2),X1))
        & vtcheck(X2,sK51(X0,X1,X2),sK50(X0,X1,X2)) )
      | ~ sP7(X0,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK49,sK50,sK51])],[f271,f272]) ).

fof(f272,plain,
    ! [X0,X1,X2] :
      ( ? [X3,X4,X5] :
          ( vapp(X3,X5) = X0
          & vtcheck(X2,X3,varrow(X4,X1))
          & vtcheck(X2,X5,X4) )
     => ( vapp(sK49(X0,X1,X2),sK51(X0,X1,X2)) = X0
        & vtcheck(X2,sK49(X0,X1,X2),varrow(sK50(X0,X1,X2),X1))
        & vtcheck(X2,sK51(X0,X1,X2),sK50(X0,X1,X2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f271,plain,
    ! [X0,X1,X2] :
      ( ? [X3,X4,X5] :
          ( vapp(X3,X5) = X0
          & vtcheck(X2,X3,varrow(X4,X1))
          & vtcheck(X2,X5,X4) )
      | ~ sP7(X0,X1,X2) ),
    inference(rectify,[],[f270]) ).

fof(f270,plain,
    ! [X2,X0,X1] :
      ( ? [X3,X4,X5] :
          ( vapp(X3,X5) = X2
          & vtcheck(X1,X3,varrow(X4,X0))
          & vtcheck(X1,X5,X4) )
      | ~ sP7(X2,X0,X1) ),
    inference(nnf_transformation,[],[f196]) ).

fof(f196,plain,
    ! [X2,X0,X1] :
      ( ? [X3,X4,X5] :
          ( vapp(X3,X5) = X2
          & vtcheck(X1,X3,varrow(X4,X0))
          & vtcheck(X1,X5,X4) )
      | ~ sP7(X2,X0,X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).

fof(f513,plain,
    sP7(vapp(ve1app,ve2app),sK10,vbind(sK8,sK11,sK9)),
    inference(subsumption_resolution,[],[f512,f308]) ).

fof(f308,plain,
    ! [X2,X0,X1] : vvar(X2) != vapp(X0,X1),
    inference(cnf_transformation,[],[f213]) ).

fof(f213,plain,
    ! [X0,X1,X2] : vvar(X2) != vapp(X0,X1),
    inference(rectify,[],[f81]) ).

fof(f81,plain,
    ! [X2,X1,X0] : vvar(X0) != vapp(X2,X1),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X5,X3] : vvar(X0) != vapp(X3,X5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-var-app') ).

fof(f512,plain,
    ( vapp(ve1app,ve2app) = vvar(sK52(vbind(sK8,sK11,sK9),sK10,vapp(ve1app,ve2app)))
    | sP7(vapp(ve1app,ve2app),sK10,vbind(sK8,sK11,sK9)) ),
    inference(subsumption_resolution,[],[f511,f303]) ).

fof(f303,plain,
    ! [X2,X3,X0,X1,X4] : vapp(X1,X4) != vabs(X0,X3,X2),
    inference(cnf_transformation,[],[f210]) ).

fof(f210,plain,
    ! [X0,X1,X2,X3,X4] : vapp(X1,X4) != vabs(X0,X3,X2),
    inference(rectify,[],[f80]) ).

fof(f80,plain,
    ! [X4,X3,X1,X2,X0] : vabs(X4,X2,X1) != vapp(X3,X0),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X6,X3,X2,X5,X0] : vabs(X0,X2,X3) != vapp(X5,X6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-abs-app') ).

fof(f511,plain,
    ( sP7(vapp(ve1app,ve2app),sK10,vbind(sK8,sK11,sK9))
    | vapp(ve1app,ve2app) = vabs(sK55(vbind(sK8,sK11,sK9),sK10,vapp(ve1app,ve2app)),sK53(vbind(sK8,sK11,sK9),sK10,vapp(ve1app,ve2app)),sK54(vbind(sK8,sK11,sK9),sK10,vapp(ve1app,ve2app)))
    | vapp(ve1app,ve2app) = vvar(sK52(vbind(sK8,sK11,sK9),sK10,vapp(ve1app,ve2app))) ),
    inference(resolution,[],[f295,f389]) ).

fof(f389,plain,
    ! [X2,X0,X1] :
      ( ~ vtcheck(X0,X2,X1)
      | sP7(X2,X1,X0)
      | vabs(sK55(X0,X1,X2),sK53(X0,X1,X2),sK54(X0,X1,X2)) = X2
      | vvar(sK52(X0,X1,X2)) = X2 ),
    inference(cnf_transformation,[],[f277]) ).

fof(f277,plain,
    ! [X0,X1,X2] :
      ( ( vlookup(sK52(X0,X1,X2),X0) = vsomeType(X1)
        & vvar(sK52(X0,X1,X2)) = X2 )
      | ( vabs(sK55(X0,X1,X2),sK53(X0,X1,X2),sK54(X0,X1,X2)) = X2
        & vtcheck(vbind(sK55(X0,X1,X2),sK53(X0,X1,X2),X0),sK54(X0,X1,X2),sK56(X0,X1,X2))
        & varrow(sK53(X0,X1,X2),sK56(X0,X1,X2)) = X1 )
      | ~ vtcheck(X0,X2,X1)
      | sP7(X2,X1,X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK52,sK53,sK54,sK55,sK56])],[f274,f276,f275]) ).

fof(f275,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( vlookup(X3,X0) = vsomeType(X1)
          & vvar(X3) = X2 )
     => ( vlookup(sK52(X0,X1,X2),X0) = vsomeType(X1)
        & vvar(sK52(X0,X1,X2)) = X2 ) ),
    introduced(choice_axiom,[]) ).

fof(f276,plain,
    ! [X0,X1,X2] :
      ( ? [X4,X5,X6,X7] :
          ( vabs(X6,X4,X5) = X2
          & vtcheck(vbind(X6,X4,X0),X5,X7)
          & varrow(X4,X7) = X1 )
     => ( vabs(sK55(X0,X1,X2),sK53(X0,X1,X2),sK54(X0,X1,X2)) = X2
        & vtcheck(vbind(sK55(X0,X1,X2),sK53(X0,X1,X2),X0),sK54(X0,X1,X2),sK56(X0,X1,X2))
        & varrow(sK53(X0,X1,X2),sK56(X0,X1,X2)) = X1 ) ),
    introduced(choice_axiom,[]) ).

fof(f274,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( vlookup(X3,X0) = vsomeType(X1)
          & vvar(X3) = X2 )
      | ? [X4,X5,X6,X7] :
          ( vabs(X6,X4,X5) = X2
          & vtcheck(vbind(X6,X4,X0),X5,X7)
          & varrow(X4,X7) = X1 )
      | ~ vtcheck(X0,X2,X1)
      | sP7(X2,X1,X0) ),
    inference(rectify,[],[f197]) ).

fof(f197,plain,
    ! [X1,X0,X2] :
      ( ? [X6] :
          ( vlookup(X6,X1) = vsomeType(X0)
          & vvar(X6) = X2 )
      | ? [X10,X8,X7,X9] :
          ( vabs(X7,X10,X8) = X2
          & vtcheck(vbind(X7,X10,X1),X8,X9)
          & varrow(X10,X9) = X0 )
      | ~ vtcheck(X1,X2,X0)
      | sP7(X2,X0,X1) ),
    inference(definition_folding,[],[f123,f196]) ).

fof(f123,plain,
    ! [X1,X0,X2] :
      ( ? [X6] :
          ( vlookup(X6,X1) = vsomeType(X0)
          & vvar(X6) = X2 )
      | ? [X10,X8,X7,X9] :
          ( vabs(X7,X10,X8) = X2
          & vtcheck(vbind(X7,X10,X1),X8,X9)
          & varrow(X10,X9) = X0 )
      | ~ vtcheck(X1,X2,X0)
      | ? [X3,X4,X5] :
          ( vapp(X3,X5) = X2
          & vtcheck(X1,X3,varrow(X4,X0))
          & vtcheck(X1,X5,X4) ) ),
    inference(flattening,[],[f122]) ).

fof(f122,plain,
    ! [X1,X0,X2] :
      ( ? [X3,X4,X5] :
          ( vapp(X3,X5) = X2
          & vtcheck(X1,X3,varrow(X4,X0))
          & vtcheck(X1,X5,X4) )
      | ? [X6] :
          ( vlookup(X6,X1) = vsomeType(X0)
          & vvar(X6) = X2 )
      | ? [X10,X8,X7,X9] :
          ( vabs(X7,X10,X8) = X2
          & vtcheck(vbind(X7,X10,X1),X8,X9)
          & varrow(X10,X9) = X0 )
      | ~ vtcheck(X1,X2,X0) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X1,X0,X2] :
      ( vtcheck(X1,X2,X0)
     => ( ? [X3,X4,X5] :
            ( vapp(X3,X5) = X2
            & vtcheck(X1,X3,varrow(X4,X0))
            & vtcheck(X1,X5,X4) )
        | ? [X6] :
            ( vlookup(X6,X1) = vsomeType(X0)
            & vvar(X6) = X2 )
        | ? [X10,X8,X7,X9] :
            ( vabs(X7,X10,X8) = X2
            & vtcheck(vbind(X7,X10,X1),X8,X9)
            & varrow(X10,X9) = X0 ) ) ),
    inference(rectify,[],[f54]) ).

fof(f54,axiom,
    ! [X14,X19,X10] :
      ( vtcheck(X19,X10,X14)
     => ( ? [X11,X9,X12] :
            ( vapp(X11,X12) = X10
            & vtcheck(X19,X11,varrow(X9,X14))
            & vtcheck(X19,X12,X9) )
        | ? [X8] :
            ( vlookup(X8,X19) = vsomeType(X14)
            & vvar(X8) = X10 )
        | ? [X8,X12,X33,X32] :
            ( vabs(X8,X32,X12) = X10
            & vtcheck(vbind(X8,X32,X19),X12,X33)
            & varrow(X32,X33) = X14 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-inv') ).

fof(f295,plain,
    vtcheck(vbind(sK8,sK11,sK9),vapp(ve1app,ve2app),sK10),
    inference(cnf_transformation,[],[f203]) ).

fof(f306,plain,
    ! [X2,X3,X0,X1] :
      ( vapp(X2,X0) != vapp(X3,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f211]) ).

fof(f211,plain,
    ! [X0,X1,X2,X3] :
      ( ( ( X0 = X1
          & X2 = X3 )
        | vapp(X2,X0) != vapp(X3,X1) )
      & ( X0 != X1
        | X2 != X3
        | vapp(X2,X0) = vapp(X3,X1) ) ),
    inference(rectify,[],[f121]) ).

fof(f121,plain,
    ! [X2,X3,X0,X1] :
      ( ( ( X2 = X3
          & X0 = X1 )
        | vapp(X1,X3) != vapp(X0,X2) )
      & ( X2 != X3
        | X0 != X1
        | vapp(X1,X3) = vapp(X0,X2) ) ),
    inference(flattening,[],[f120]) ).

fof(f120,plain,
    ! [X1,X2,X0,X3] :
      ( ( vapp(X1,X3) = vapp(X0,X2)
        | X2 != X3
        | X0 != X1 )
      & ( ( X2 = X3
          & X0 = X1 )
        | vapp(X1,X3) != vapp(X0,X2) ) ),
    inference(ennf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X1,X2,X0,X3] :
      ( ( ( X2 = X3
          & X0 = X1 )
       => vapp(X1,X3) = vapp(X0,X2) )
      & ( vapp(X1,X3) = vapp(X0,X2)
       => ( X2 = X3
          & X0 = X1 ) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X6,X3,X7,X5] :
      ( ( vapp(X3,X5) = vapp(X6,X7)
       => ( X5 = X7
          & X3 = X6 ) )
      & ( ( X3 = X6
          & X5 = X7 )
       => vapp(X3,X5) = vapp(X6,X7) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-app') ).

fof(f519,plain,
    vtcheck(vbind(sK8,sK11,sK9),sK51(vapp(ve1app,ve2app),sK10,vbind(sK8,sK11,sK9)),sK50(vapp(ve1app,ve2app),sK10,vbind(sK8,sK11,sK9))),
    inference(resolution,[],[f513,f384]) ).

fof(f384,plain,
    ! [X2,X0,X1] :
      ( ~ sP7(X0,X1,X2)
      | vtcheck(X2,sK51(X0,X1,X2),sK50(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f273]) ).

fof(f610,plain,
    vtcheck(sK9,ve1app,varrow(sK50(vapp(ve1app,ve2app),sK10,vbind(sK8,sK11,sK9)),sK10)),
    inference(subsumption_resolution,[],[f601,f500]) ).

fof(f500,plain,
    ~ visFreeVar(sK8,ve1app),
    inference(resolution,[],[f294,f468]) ).

fof(f468,plain,
    ! [X2,X3,X4] :
      ( visFreeVar(X3,vapp(X2,X4))
      | ~ visFreeVar(X3,X2) ),
    inference(equality_resolution,[],[f467]) ).

fof(f467,plain,
    ! [X2,X3,X0,X4] :
      ( X0 != X3
      | ~ visFreeVar(X3,X2)
      | visFreeVar(X0,vapp(X2,X4)) ),
    inference(equality_resolution,[],[f327]) ).

fof(f327,plain,
    ! [X2,X3,X0,X1,X4] :
      ( vapp(X2,X4) != X1
      | X0 != X3
      | ~ visFreeVar(X3,X2)
      | visFreeVar(X0,X1) ),
    inference(cnf_transformation,[],[f226]) ).

fof(f601,plain,
    ( visFreeVar(sK8,ve1app)
    | vtcheck(sK9,ve1app,varrow(sK50(vapp(ve1app,ve2app),sK10,vbind(sK8,sK11,sK9)),sK10)) ),
    inference(resolution,[],[f586,f317]) ).

fof(f317,plain,
    ! [X2,X3,X0,X1] :
      ( ~ vtcheck(vbind(X0,X1,X3),ve1app,X2)
      | visFreeVar(X0,ve1app)
      | vtcheck(X3,ve1app,X2) ),
    inference(cnf_transformation,[],[f218]) ).

fof(f218,plain,
    ! [X0,X1,X2,X3] :
      ( ~ vtcheck(vbind(X0,X1,X3),ve1app,X2)
      | visFreeVar(X0,ve1app)
      | vtcheck(X3,ve1app,X2) ),
    inference(rectify,[],[f167]) ).

fof(f167,plain,
    ! [X3,X2,X0,X1] :
      ( ~ vtcheck(vbind(X3,X2,X1),ve1app,X0)
      | visFreeVar(X3,ve1app)
      | vtcheck(X1,ve1app,X0) ),
    inference(flattening,[],[f166]) ).

fof(f166,plain,
    ! [X1,X0,X2,X3] :
      ( vtcheck(X1,ve1app,X0)
      | ~ vtcheck(vbind(X3,X2,X1),ve1app,X0)
      | visFreeVar(X3,ve1app) ),
    inference(ennf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X1,X0,X2,X3] :
      ( ( vtcheck(vbind(X3,X2,X1),ve1app,X0)
        & ~ visFreeVar(X3,ve1app) )
     => vtcheck(X1,ve1app,X0) ),
    inference(rectify,[],[f56]) ).

fof(f56,axiom,
    ! [X14,X19,X9,X8] :
      ( ( ~ visFreeVar(X8,ve1app)
        & vtcheck(vbind(X8,X9,X19),ve1app,X14) )
     => vtcheck(X19,ve1app,X14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Strong-app-IH1') ).

fof(f586,plain,
    vtcheck(vbind(sK8,sK11,sK9),ve1app,varrow(sK50(vapp(ve1app,ve2app),sK10,vbind(sK8,sK11,sK9)),sK10)),
    inference(backward_demodulation,[],[f518,f577]) ).

fof(f577,plain,
    ve1app = sK49(vapp(ve1app,ve2app),sK10,vbind(sK8,sK11,sK9)),
    inference(equality_resolution,[],[f557]) ).

fof(f557,plain,
    ! [X3,X4] :
      ( vapp(ve1app,ve2app) != vapp(X3,X4)
      | sK49(vapp(ve1app,ve2app),sK10,vbind(sK8,sK11,sK9)) = X3 ),
    inference(superposition,[],[f305,f517]) ).

fof(f305,plain,
    ! [X2,X3,X0,X1] :
      ( vapp(X2,X0) != vapp(X3,X1)
      | X2 = X3 ),
    inference(cnf_transformation,[],[f211]) ).

fof(f518,plain,
    vtcheck(vbind(sK8,sK11,sK9),sK49(vapp(ve1app,ve2app),sK10,vbind(sK8,sK11,sK9)),varrow(sK50(vapp(ve1app,ve2app),sK10,vbind(sK8,sK11,sK9)),sK10)),
    inference(resolution,[],[f513,f385]) ).

fof(f385,plain,
    ! [X2,X0,X1] :
      ( ~ sP7(X0,X1,X2)
      | vtcheck(X2,sK49(X0,X1,X2),varrow(sK50(X0,X1,X2),X1)) ),
    inference(cnf_transformation,[],[f273]) ).

fof(f293,plain,
    ~ vtcheck(sK9,vapp(ve1app,ve2app),sK10),
    inference(cnf_transformation,[],[f203]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : COM137+1 : TPTP v8.1.0. Released v6.4.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n017.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon Aug 29 16:52:04 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.19/0.46  % (12323)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)
% 0.19/0.46  % (12323)Instruction limit reached!
% 0.19/0.46  % (12323)------------------------------
% 0.19/0.46  % (12323)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (12339)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.48  % (12323)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (12323)Termination reason: Unknown
% 0.19/0.48  % (12323)Termination phase: Saturation
% 0.19/0.48  
% 0.19/0.48  % (12323)Memory used [KB]: 6396
% 0.19/0.48  % (12323)Time elapsed: 0.090 s
% 0.19/0.48  % (12323)Instructions burned: 13 (million)
% 0.19/0.48  % (12323)------------------------------
% 0.19/0.48  % (12323)------------------------------
% 0.19/0.48  % (12331)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)
% 0.19/0.49  % (12339)Instruction limit reached!
% 0.19/0.49  % (12339)------------------------------
% 0.19/0.49  % (12339)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (12339)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (12339)Termination reason: Unknown
% 0.19/0.49  % (12339)Termination phase: Preprocessing 2
% 0.19/0.49  
% 0.19/0.49  % (12339)Memory used [KB]: 1535
% 0.19/0.49  % (12339)Time elapsed: 0.003 s
% 0.19/0.49  % (12339)Instructions burned: 3 (million)
% 0.19/0.49  % (12339)------------------------------
% 0.19/0.49  % (12339)------------------------------
% 0.19/0.49  % (12321)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.50  % (12349)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)
% 0.19/0.50  % (12325)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  % (12348)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)
% 0.19/0.50  % (12330)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)
% 0.19/0.51  % (12341)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)
% 0.19/0.51  % (12333)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  % (12336)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  % (12347)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)
% 0.19/0.51  % (12338)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)
% 0.19/0.51  % (12336)Instruction limit reached!
% 0.19/0.51  % (12336)------------------------------
% 0.19/0.51  % (12336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (12328)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)
% 0.19/0.52  % (12336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (12336)Termination reason: Unknown
% 0.19/0.52  % (12336)Termination phase: Preprocessing 3
% 0.19/0.52  
% 0.19/0.52  % (12336)Memory used [KB]: 1663
% 0.19/0.52  % (12336)Time elapsed: 0.004 s
% 0.19/0.52  % (12336)Instructions burned: 4 (million)
% 0.19/0.52  % (12324)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)
% 0.19/0.52  % (12336)------------------------------
% 0.19/0.52  % (12336)------------------------------
% 0.19/0.52  % (12329)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)
% 0.19/0.52  % (12337)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)
% 0.19/0.52  % (12324)Instruction limit reached!
% 0.19/0.52  % (12324)------------------------------
% 0.19/0.52  % (12324)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (12324)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (12324)Termination reason: Unknown
% 0.19/0.52  % (12324)Termination phase: Preprocessing 3
% 0.19/0.52  
% 0.19/0.52  % (12324)Memory used [KB]: 1663
% 0.19/0.52  % (12324)Time elapsed: 0.003 s
% 0.19/0.52  % (12324)Instructions burned: 5 (million)
% 0.19/0.52  % (12324)------------------------------
% 0.19/0.52  % (12324)------------------------------
% 0.19/0.52  % (12341)Instruction limit reached!
% 0.19/0.52  % (12341)------------------------------
% 0.19/0.52  % (12341)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (12326)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)
% 0.19/0.52  % (12340)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)
% 0.19/0.52  % (12328)Refutation not found, incomplete strategy% (12328)------------------------------
% 0.19/0.52  % (12328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (12328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (12328)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (12328)Memory used [KB]: 6012
% 0.19/0.52  % (12328)Time elapsed: 0.130 s
% 0.19/0.52  % (12328)Instructions burned: 4 (million)
% 0.19/0.52  % (12328)------------------------------
% 0.19/0.52  % (12328)------------------------------
% 0.19/0.52  % (12340)Instruction limit reached!
% 0.19/0.52  % (12340)------------------------------
% 0.19/0.52  % (12340)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (12340)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (12340)Termination reason: Unknown
% 0.19/0.52  % (12340)Termination phase: Preprocessing 3
% 0.19/0.52  
% 0.19/0.52  % (12340)Memory used [KB]: 1535
% 0.19/0.52  % (12340)Time elapsed: 0.002 s
% 0.19/0.52  % (12340)Instructions burned: 2 (million)
% 0.19/0.52  % (12340)------------------------------
% 0.19/0.52  % (12340)------------------------------
% 0.19/0.52  % (12333)Instruction limit reached!
% 0.19/0.52  % (12333)------------------------------
% 0.19/0.52  % (12333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (12333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (12333)Termination reason: Unknown
% 0.19/0.52  % (12333)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (12333)Memory used [KB]: 6140
% 0.19/0.52  % (12333)Time elapsed: 0.134 s
% 0.19/0.52  % (12333)Instructions burned: 7 (million)
% 0.19/0.52  % (12333)------------------------------
% 0.19/0.52  % (12333)------------------------------
% 0.19/0.52  % (12337)Instruction limit reached!
% 0.19/0.52  % (12337)------------------------------
% 0.19/0.52  % (12337)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (12337)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (12337)Termination reason: Unknown
% 0.19/0.52  % (12337)Termination phase: Property scanning
% 0.19/0.52  
% 0.19/0.52  % (12337)Memory used [KB]: 1791
% 0.19/0.52  % (12337)Time elapsed: 0.008 s
% 0.19/0.52  % (12337)Instructions burned: 7 (million)
% 0.19/0.52  % (12337)------------------------------
% 0.19/0.52  % (12337)------------------------------
% 0.19/0.52  % (12327)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)
% 0.19/0.52  % (12341)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (12341)Termination reason: Unknown
% 0.19/0.52  % (12341)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (12341)Memory used [KB]: 1791
% 0.19/0.52  % (12341)Time elapsed: 0.007 s
% 0.19/0.52  % (12341)Instructions burned: 12 (million)
% 0.19/0.52  % (12341)------------------------------
% 0.19/0.52  % (12341)------------------------------
% 0.19/0.52  % (12326)Refutation not found, incomplete strategy% (12326)------------------------------
% 0.19/0.52  % (12326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (12335)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)
% 0.19/0.53  % (12332)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)
% 0.19/0.53  % (12334)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)
% 0.19/0.53  % (12332)Refutation not found, incomplete strategy% (12332)------------------------------
% 0.19/0.53  % (12332)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (12346)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)
% 0.19/0.53  % (12332)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (12332)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (12332)Memory used [KB]: 6140
% 0.19/0.53  % (12332)Time elapsed: 0.146 s
% 0.19/0.53  % (12332)Instructions burned: 3 (million)
% 0.19/0.53  % (12332)------------------------------
% 0.19/0.53  % (12332)------------------------------
% 0.19/0.53  % (12331)Instruction limit reached!
% 0.19/0.53  % (12331)------------------------------
% 0.19/0.53  % (12331)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (12331)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (12331)Termination reason: Unknown
% 0.19/0.53  % (12331)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (12331)Memory used [KB]: 6908
% 0.19/0.53  % (12331)Time elapsed: 0.162 s
% 0.19/0.53  % (12331)Instructions burned: 35 (million)
% 0.19/0.53  % (12331)------------------------------
% 0.19/0.53  % (12331)------------------------------
% 0.19/0.53  % (12350)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)
% 0.19/0.54  % (12351)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)
% 0.19/0.54  % (12342)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)
% 0.19/0.54  % (12344)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)
% 0.19/0.54  % (12326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (12326)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (12326)Memory used [KB]: 6012
% 0.19/0.54  % (12326)Time elapsed: 0.130 s
% 0.19/0.54  % (12326)Instructions burned: 3 (million)
% 0.19/0.54  % (12326)------------------------------
% 0.19/0.54  % (12326)------------------------------
% 0.19/0.54  % (12343)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)
% 1.59/0.54  % (12334)Refutation not found, incomplete strategy% (12334)------------------------------
% 1.59/0.54  % (12334)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.54  % (12334)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.54  % (12334)Termination reason: Refutation not found, incomplete strategy
% 1.59/0.54  
% 1.59/0.54  % (12334)Memory used [KB]: 2046
% 1.59/0.54  % (12334)Time elapsed: 0.149 s
% 1.59/0.54  % (12334)Instructions burned: 15 (million)
% 1.59/0.54  % (12334)------------------------------
% 1.59/0.54  % (12334)------------------------------
% 1.59/0.55  % (12327)Refutation not found, incomplete strategy% (12327)------------------------------
% 1.59/0.55  % (12327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.55  % (12327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.55  % (12327)Termination reason: Refutation not found, incomplete strategy
% 1.59/0.55  
% 1.59/0.55  % (12327)Memory used [KB]: 1663
% 1.59/0.55  % (12327)Time elapsed: 0.150 s
% 1.59/0.55  % (12327)Instructions burned: 4 (million)
% 1.59/0.55  % (12327)------------------------------
% 1.59/0.55  % (12327)------------------------------
% 1.59/0.55  % (12351)Instruction limit reached!
% 1.59/0.55  % (12351)------------------------------
% 1.59/0.55  % (12351)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.55  % (12352)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)
% 1.59/0.55  % (12351)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.55  % (12351)Termination reason: Unknown
% 1.59/0.55  % (12351)Termination phase: Equality resolution with deletion
% 1.59/0.55  
% 1.59/0.55  % (12351)Memory used [KB]: 1791
% 1.59/0.55  % (12351)Time elapsed: 0.005 s
% 1.59/0.55  % (12351)Instructions burned: 8 (million)
% 1.59/0.55  % (12351)------------------------------
% 1.59/0.55  % (12351)------------------------------
% 1.69/0.56  % (12350)Instruction limit reached!
% 1.69/0.56  % (12350)------------------------------
% 1.69/0.56  % (12350)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.56  % (12325)Instruction limit reached!
% 1.69/0.56  % (12325)------------------------------
% 1.69/0.56  % (12325)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.57  % (12350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.57  % (12350)Termination reason: Unknown
% 1.69/0.57  % (12350)Termination phase: Saturation
% 1.69/0.57  
% 1.69/0.57  % (12350)Memory used [KB]: 6652
% 1.69/0.57  % (12350)Time elapsed: 0.157 s
% 1.69/0.57  % (12350)Instructions burned: 25 (million)
% 1.69/0.57  % (12350)------------------------------
% 1.69/0.57  % (12350)------------------------------
% 1.69/0.57  % (12338)Instruction limit reached!
% 1.69/0.57  % (12338)------------------------------
% 1.69/0.57  % (12338)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.57  % (12325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.57  % (12325)Termination reason: Unknown
% 1.69/0.57  % (12325)Termination phase: Saturation
% 1.69/0.57  
% 1.69/0.57  % (12325)Memory used [KB]: 7164
% 1.69/0.57  % (12325)Time elapsed: 0.167 s
% 1.69/0.57  % (12325)Instructions burned: 51 (million)
% 1.69/0.57  % (12325)------------------------------
% 1.69/0.57  % (12325)------------------------------
% 1.69/0.58  % (12346)First to succeed.
% 1.69/0.58  % (12330)Instruction limit reached!
% 1.69/0.58  % (12330)------------------------------
% 1.69/0.58  % (12330)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.58  % (12330)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.58  % (12330)Termination reason: Unknown
% 1.69/0.58  % (12330)Termination phase: Saturation
% 1.69/0.58  
% 1.69/0.58  % (12330)Memory used [KB]: 6908
% 1.69/0.58  % (12330)Time elapsed: 0.176 s
% 1.69/0.58  % (12330)Instructions burned: 49 (million)
% 1.69/0.58  % (12330)------------------------------
% 1.69/0.58  % (12330)------------------------------
% 1.69/0.58  % (12338)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.58  % (12338)Termination reason: Unknown
% 1.69/0.58  % (12338)Termination phase: Saturation
% 1.69/0.58  
% 1.69/0.58  % (12338)Memory used [KB]: 7164
% 1.69/0.58  % (12338)Time elapsed: 0.167 s
% 1.69/0.58  % (12338)Instructions burned: 52 (million)
% 1.69/0.58  % (12338)------------------------------
% 1.69/0.58  % (12338)------------------------------
% 1.69/0.58  % (12342)Instruction limit reached!
% 1.69/0.58  % (12342)------------------------------
% 1.69/0.58  % (12342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.58  % (12342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.58  % (12342)Termination reason: Unknown
% 1.69/0.58  % (12342)Termination phase: Saturation
% 1.69/0.58  
% 1.69/0.58  % (12342)Memory used [KB]: 6524
% 1.69/0.58  % (12342)Time elapsed: 0.182 s
% 1.69/0.58  % (12342)Instructions burned: 30 (million)
% 1.69/0.58  % (12342)------------------------------
% 1.69/0.58  % (12342)------------------------------
% 1.69/0.59  % (12352)Instruction limit reached!
% 1.69/0.59  % (12352)------------------------------
% 1.69/0.59  % (12352)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.59  % (12352)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.59  % (12352)Termination reason: Unknown
% 1.69/0.59  % (12352)Termination phase: Property scanning
% 1.69/0.59  
% 1.69/0.59  % (12352)Memory used [KB]: 8315
% 1.69/0.59  % (12352)Time elapsed: 0.016 s
% 1.69/0.59  % (12352)Instructions burned: 24 (million)
% 1.69/0.59  % (12352)------------------------------
% 1.69/0.59  % (12352)------------------------------
% 1.69/0.60  % (12439)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 1.69/0.60  % (12346)Refutation found. Thanks to Tanya!
% 1.69/0.60  % SZS status Theorem for theBenchmark
% 1.69/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.69/0.60  % (12346)------------------------------
% 1.69/0.60  % (12346)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.60  % (12346)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.60  % (12346)Termination reason: Refutation
% 1.69/0.60  
% 1.69/0.60  % (12346)Memory used [KB]: 2174
% 1.69/0.60  % (12346)Time elapsed: 0.153 s
% 1.69/0.60  % (12346)Instructions burned: 30 (million)
% 1.69/0.60  % (12346)------------------------------
% 1.69/0.60  % (12346)------------------------------
% 1.69/0.60  % (12318)Success in time 0.253 s
%------------------------------------------------------------------------------