TSTP Solution File: COM126+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : COM126+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 : n023.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 15:53:21 EDT 2022

% Result   : Theorem 0.20s 0.61s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   97 (  22 unt;   0 def)
%            Number of atoms       :  327 ( 125 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  331 ( 101   ~; 115   |;  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   :  336 ( 260   !;  76   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f677,plain,
    $false,
    inference(unit_resulting_resolution,[],[f303,f662,f673,f325]) ).

fof(f325,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ vtcheck(X4,X2,varrow(X1,X0))
      | vtcheck(X4,vapp(X2,X3),X0)
      | ~ vtcheck(X4,X3,X1) ),
    inference(cnf_transformation,[],[f220]) ).

fof(f220,plain,
    ! [X0,X1,X2,X3,X4] :
      ( vtcheck(X4,vapp(X2,X3),X0)
      | ~ vtcheck(X4,X2,varrow(X1,X0))
      | ~ vtcheck(X4,X3,X1) ),
    inference(rectify,[],[f140]) ).

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

fof(f139,plain,
    ! [X3,X4,X0,X2,X1] :
      ( vtcheck(X4,vapp(X3,X0),X2)
      | ~ vtcheck(X4,X3,varrow(X1,X2))
      | ~ vtcheck(X4,X0,X1) ),
    inference(ennf_transformation,[],[f96]) ).

fof(f96,plain,
    ! [X3,X4,X0,X2,X1] :
      ( ( vtcheck(X4,X3,varrow(X1,X2))
        & vtcheck(X4,X0,X1) )
     => vtcheck(X4,vapp(X3,X0),X2) ),
    inference(rectify,[],[f53]) ).

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

fof(f673,plain,
    ! [X0] : vtcheck(vbind(sK8,X0,sK11),ve1app,varrow(sK24(sK9,vapp(ve1app,ve2app),sK11),sK9)),
    inference(resolution,[],[f575,f505]) ).

fof(f505,plain,
    ~ visFreeVar(sK8,ve1app),
    inference(resolution,[],[f304,f422]) ).

fof(f422,plain,
    ! [X2,X3,X4] :
      ( visFreeVar(X3,vapp(X2,X4))
      | ~ visFreeVar(X3,X2) ),
    inference(equality_resolution,[],[f421]) ).

fof(f421,plain,
    ! [X2,X3,X1,X4] :
      ( X1 != X3
      | visFreeVar(X3,vapp(X2,X4))
      | ~ visFreeVar(X1,X2) ),
    inference(equality_resolution,[],[f299]) ).

fof(f299,plain,
    ! [X2,X3,X0,X1,X4] :
      ( vapp(X2,X4) != X0
      | X1 != X3
      | visFreeVar(X3,X0)
      | ~ visFreeVar(X1,X2) ),
    inference(cnf_transformation,[],[f206]) ).

fof(f206,plain,
    ! [X0,X1,X2,X3,X4] :
      ( vapp(X2,X4) != X0
      | X1 != X3
      | ( ( visFreeVar(X3,X0)
          | ( ~ visFreeVar(X1,X4)
            & ~ visFreeVar(X1,X2) ) )
        & ( ~ visFreeVar(X3,X0)
          | visFreeVar(X1,X4)
          | visFreeVar(X1,X2) ) ) ),
    inference(rectify,[],[f176]) ).

fof(f176,plain,
    ! [X0,X3,X1,X4,X2] :
      ( vapp(X1,X2) != X0
      | X3 != X4
      | ( ( visFreeVar(X4,X0)
          | ( ~ visFreeVar(X3,X2)
            & ~ visFreeVar(X3,X1) ) )
        & ( ~ visFreeVar(X4,X0)
          | visFreeVar(X3,X2)
          | visFreeVar(X3,X1) ) ) ),
    inference(flattening,[],[f175]) ).

fof(f175,plain,
    ! [X4,X2,X0,X3,X1] :
      ( ( ( visFreeVar(X4,X0)
          | ( ~ visFreeVar(X3,X2)
            & ~ visFreeVar(X3,X1) ) )
        & ( visFreeVar(X3,X2)
          | visFreeVar(X3,X1)
          | ~ visFreeVar(X4,X0) ) )
      | X3 != X4
      | vapp(X1,X2) != X0 ),
    inference(ennf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X4,X2,X0,X3,X1] :
      ( ( X3 = X4
        & vapp(X1,X2) = X0 )
     => ( ( ( visFreeVar(X3,X2)
            | visFreeVar(X3,X1) )
         => visFreeVar(X4,X0) )
        & ( visFreeVar(X4,X0)
         => ( visFreeVar(X3,X2)
            | visFreeVar(X3,X1) ) ) ) ),
    inference(rectify,[],[f12]) ).

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

fof(f304,plain,
    ~ visFreeVar(sK8,vapp(ve1app,ve2app)),
    inference(cnf_transformation,[],[f209]) ).

fof(f209,plain,
    ( ~ visFreeVar(sK8,vapp(ve1app,ve2app))
    & ~ vtcheck(vbind(sK8,sK10,sK11),vapp(ve1app,ve2app),sK9)
    & vtcheck(sK11,vapp(ve1app,ve2app),sK9) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11])],[f207,f208]) ).

fof(f208,plain,
    ( ? [X0,X1,X2,X3] :
        ( ~ visFreeVar(X0,vapp(ve1app,ve2app))
        & ~ vtcheck(vbind(X0,X2,X3),vapp(ve1app,ve2app),X1)
        & vtcheck(X3,vapp(ve1app,ve2app),X1) )
   => ( ~ visFreeVar(sK8,vapp(ve1app,ve2app))
      & ~ vtcheck(vbind(sK8,sK10,sK11),vapp(ve1app,ve2app),sK9)
      & vtcheck(sK11,vapp(ve1app,ve2app),sK9) ) ),
    introduced(choice_axiom,[]) ).

fof(f207,plain,
    ? [X0,X1,X2,X3] :
      ( ~ visFreeVar(X0,vapp(ve1app,ve2app))
      & ~ vtcheck(vbind(X0,X2,X3),vapp(ve1app,ve2app),X1)
      & vtcheck(X3,vapp(ve1app,ve2app),X1) ),
    inference(rectify,[],[f158]) ).

fof(f158,plain,
    ? [X2,X0,X3,X1] :
      ( ~ visFreeVar(X2,vapp(ve1app,ve2app))
      & ~ vtcheck(vbind(X2,X3,X1),vapp(ve1app,ve2app),X0)
      & vtcheck(X1,vapp(ve1app,ve2app),X0) ),
    inference(flattening,[],[f157]) ).

fof(f157,plain,
    ? [X0,X2,X3,X1] :
      ( ~ vtcheck(vbind(X2,X3,X1),vapp(ve1app,ve2app),X0)
      & vtcheck(X1,vapp(ve1app,ve2app),X0)
      & ~ visFreeVar(X2,vapp(ve1app,ve2app)) ),
    inference(ennf_transformation,[],[f62]) ).

fof(f62,plain,
    ~ ! [X0,X2,X3,X1] :
        ( ( vtcheck(X1,vapp(ve1app,ve2app),X0)
          & ~ visFreeVar(X2,vapp(ve1app,ve2app)) )
       => vtcheck(vbind(X2,X3,X1),vapp(ve1app,ve2app),X0) ),
    inference(rectify,[],[f60]) ).

fof(f60,negated_conjecture,
    ~ ! [X14,X19,X8,X9] :
        ( ( vtcheck(X19,vapp(ve1app,ve2app),X14)
          & ~ visFreeVar(X8,vapp(ve1app,ve2app)) )
       => vtcheck(vbind(X8,X9,X19),vapp(ve1app,ve2app),X14) ),
    inference(negated_conjecture,[],[f59]) ).

fof(f59,conjecture,
    ! [X14,X19,X8,X9] :
      ( ( vtcheck(X19,vapp(ve1app,ve2app),X14)
        & ~ visFreeVar(X8,vapp(ve1app,ve2app)) )
     => vtcheck(vbind(X8,X9,X19),vapp(ve1app,ve2app),X14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-FreeVar-app') ).

fof(f575,plain,
    ! [X0,X1] :
      ( visFreeVar(X0,ve1app)
      | vtcheck(vbind(X0,X1,sK11),ve1app,varrow(sK24(sK9,vapp(ve1app,ve2app),sK11),sK9)) ),
    inference(resolution,[],[f573,f345]) ).

fof(f345,plain,
    ! [X2,X3,X0,X1] :
      ( ~ vtcheck(X1,ve1app,X3)
      | visFreeVar(X0,ve1app)
      | vtcheck(vbind(X0,X2,X1),ve1app,X3) ),
    inference(cnf_transformation,[],[f241]) ).

fof(f241,plain,
    ! [X0,X1,X2,X3] :
      ( ~ vtcheck(X1,ve1app,X3)
      | visFreeVar(X0,ve1app)
      | vtcheck(vbind(X0,X2,X1),ve1app,X3) ),
    inference(rectify,[],[f172]) ).

fof(f172,plain,
    ! [X0,X2,X1,X3] :
      ( ~ vtcheck(X2,ve1app,X3)
      | visFreeVar(X0,ve1app)
      | vtcheck(vbind(X0,X1,X2),ve1app,X3) ),
    inference(flattening,[],[f171]) ).

fof(f171,plain,
    ! [X3,X0,X2,X1] :
      ( vtcheck(vbind(X0,X1,X2),ve1app,X3)
      | ~ vtcheck(X2,ve1app,X3)
      | visFreeVar(X0,ve1app) ),
    inference(ennf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X3,X0,X2,X1] :
      ( ( vtcheck(X2,ve1app,X3)
        & ~ visFreeVar(X0,ve1app) )
     => vtcheck(vbind(X0,X1,X2),ve1app,X3) ),
    inference(rectify,[],[f57]) ).

fof(f57,axiom,
    ! [X8,X9,X19,X14] :
      ( ( vtcheck(X19,ve1app,X14)
        & ~ visFreeVar(X8,ve1app) )
     => vtcheck(vbind(X8,X9,X19),ve1app,X14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-FreeVar-app-IH1') ).

fof(f573,plain,
    vtcheck(sK11,ve1app,varrow(sK24(sK9,vapp(ve1app,ve2app),sK11),sK9)),
    inference(backward_demodulation,[],[f544,f570]) ).

fof(f570,plain,
    ve1app = sK22(sK9,vapp(ve1app,ve2app),sK11),
    inference(equality_resolution,[],[f558]) ).

fof(f558,plain,
    ! [X4,X5] :
      ( vapp(ve1app,ve2app) != vapp(X4,X5)
      | sK22(sK9,vapp(ve1app,ve2app),sK11) = X4 ),
    inference(superposition,[],[f367,f548]) ).

fof(f548,plain,
    vapp(ve1app,ve2app) = vapp(sK22(sK9,vapp(ve1app,ve2app),sK11),sK23(sK9,vapp(ve1app,ve2app),sK11)),
    inference(subsumption_resolution,[],[f546,f307]) ).

fof(f307,plain,
    ! [X2,X3,X0,X1,X4] : vabs(X4,X1,X3) != vapp(X2,X0),
    inference(cnf_transformation,[],[f212]) ).

fof(f212,plain,
    ! [X0,X1,X2,X3,X4] : vabs(X4,X1,X3) != vapp(X2,X0),
    inference(rectify,[],[f77]) ).

fof(f77,plain,
    ! [X0,X2,X4,X1,X3] : vapp(X4,X0) != vabs(X3,X2,X1),
    inference(rectify,[],[f6]) ).

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

fof(f546,plain,
    ( vapp(ve1app,ve2app) = vapp(sK22(sK9,vapp(ve1app,ve2app),sK11),sK23(sK9,vapp(ve1app,ve2app),sK11))
    | vapp(ve1app,ve2app) = vabs(sK19(vapp(ve1app,ve2app),sK11,sK9),sK20(vapp(ve1app,ve2app),sK11,sK9),sK18(vapp(ve1app,ve2app),sK11,sK9)) ),
    inference(resolution,[],[f514,f330]) ).

fof(f330,plain,
    ! [X2,X0,X1] :
      ( ~ sP0(X0,X1,X2)
      | vabs(sK19(X0,X1,X2),sK20(X0,X1,X2),sK18(X0,X1,X2)) = X0 ),
    inference(cnf_transformation,[],[f230]) ).

fof(f230,plain,
    ! [X0,X1,X2] :
      ( ( vabs(sK19(X0,X1,X2),sK20(X0,X1,X2),sK18(X0,X1,X2)) = X0
        & vtcheck(vbind(sK19(X0,X1,X2),sK20(X0,X1,X2),X1),sK18(X0,X1,X2),sK21(X0,X1,X2))
        & varrow(sK20(X0,X1,X2),sK21(X0,X1,X2)) = X2 )
      | ~ sP0(X0,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21])],[f228,f229]) ).

fof(f229,plain,
    ! [X0,X1,X2] :
      ( ? [X3,X4,X5,X6] :
          ( vabs(X4,X5,X3) = X0
          & vtcheck(vbind(X4,X5,X1),X3,X6)
          & varrow(X5,X6) = X2 )
     => ( vabs(sK19(X0,X1,X2),sK20(X0,X1,X2),sK18(X0,X1,X2)) = X0
        & vtcheck(vbind(sK19(X0,X1,X2),sK20(X0,X1,X2),X1),sK18(X0,X1,X2),sK21(X0,X1,X2))
        & varrow(sK20(X0,X1,X2),sK21(X0,X1,X2)) = X2 ) ),
    introduced(choice_axiom,[]) ).

fof(f228,plain,
    ! [X0,X1,X2] :
      ( ? [X3,X4,X5,X6] :
          ( vabs(X4,X5,X3) = X0
          & vtcheck(vbind(X4,X5,X1),X3,X6)
          & varrow(X5,X6) = X2 )
      | ~ sP0(X0,X1,X2) ),
    inference(rectify,[],[f227]) ).

fof(f227,plain,
    ! [X0,X1,X2] :
      ( ? [X9,X10,X8,X7] :
          ( vabs(X10,X8,X9) = X0
          & vtcheck(vbind(X10,X8,X1),X9,X7)
          & varrow(X8,X7) = X2 )
      | ~ sP0(X0,X1,X2) ),
    inference(nnf_transformation,[],[f191]) ).

fof(f191,plain,
    ! [X0,X1,X2] :
      ( ? [X9,X10,X8,X7] :
          ( vabs(X10,X8,X9) = X0
          & vtcheck(vbind(X10,X8,X1),X9,X7)
          & varrow(X8,X7) = X2 )
      | ~ sP0(X0,X1,X2) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f514,plain,
    ( sP0(vapp(ve1app,ve2app),sK11,sK9)
    | vapp(ve1app,ve2app) = vapp(sK22(sK9,vapp(ve1app,ve2app),sK11),sK23(sK9,vapp(ve1app,ve2app),sK11)) ),
    inference(subsumption_resolution,[],[f510,f297]) ).

fof(f297,plain,
    ! [X2,X0,X1] : vvar(X0) != vapp(X2,X1),
    inference(cnf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0,X1,X2] : 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(f510,plain,
    ( sP0(vapp(ve1app,ve2app),sK11,sK9)
    | vapp(ve1app,ve2app) = vapp(sK22(sK9,vapp(ve1app,ve2app),sK11),sK23(sK9,vapp(ve1app,ve2app),sK11))
    | vapp(ve1app,ve2app) = vvar(sK25(sK9,vapp(ve1app,ve2app),sK11)) ),
    inference(resolution,[],[f302,f331]) ).

fof(f331,plain,
    ! [X2,X0,X1] :
      ( ~ vtcheck(X2,X1,X0)
      | sP0(X1,X2,X0)
      | vapp(sK22(X0,X1,X2),sK23(X0,X1,X2)) = X1
      | vvar(sK25(X0,X1,X2)) = X1 ),
    inference(cnf_transformation,[],[f234]) ).

fof(f234,plain,
    ! [X0,X1,X2] :
      ( ( vtcheck(X2,sK22(X0,X1,X2),varrow(sK24(X0,X1,X2),X0))
        & vtcheck(X2,sK23(X0,X1,X2),sK24(X0,X1,X2))
        & vapp(sK22(X0,X1,X2),sK23(X0,X1,X2)) = X1 )
      | ( vlookup(sK25(X0,X1,X2),X2) = vsomeType(X0)
        & vvar(sK25(X0,X1,X2)) = X1 )
      | ~ vtcheck(X2,X1,X0)
      | sP0(X1,X2,X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23,sK24,sK25])],[f231,f233,f232]) ).

fof(f232,plain,
    ! [X0,X1,X2] :
      ( ? [X3,X4,X5] :
          ( vtcheck(X2,X3,varrow(X5,X0))
          & vtcheck(X2,X4,X5)
          & vapp(X3,X4) = X1 )
     => ( vtcheck(X2,sK22(X0,X1,X2),varrow(sK24(X0,X1,X2),X0))
        & vtcheck(X2,sK23(X0,X1,X2),sK24(X0,X1,X2))
        & vapp(sK22(X0,X1,X2),sK23(X0,X1,X2)) = X1 ) ),
    introduced(choice_axiom,[]) ).

fof(f233,plain,
    ! [X0,X1,X2] :
      ( ? [X6] :
          ( vlookup(X6,X2) = vsomeType(X0)
          & vvar(X6) = X1 )
     => ( vlookup(sK25(X0,X1,X2),X2) = vsomeType(X0)
        & vvar(sK25(X0,X1,X2)) = X1 ) ),
    introduced(choice_axiom,[]) ).

fof(f231,plain,
    ! [X0,X1,X2] :
      ( ? [X3,X4,X5] :
          ( vtcheck(X2,X3,varrow(X5,X0))
          & vtcheck(X2,X4,X5)
          & vapp(X3,X4) = X1 )
      | ? [X6] :
          ( vlookup(X6,X2) = vsomeType(X0)
          & vvar(X6) = X1 )
      | ~ vtcheck(X2,X1,X0)
      | sP0(X1,X2,X0) ),
    inference(rectify,[],[f192]) ).

fof(f192,plain,
    ! [X2,X0,X1] :
      ( ? [X5,X6,X4] :
          ( vtcheck(X1,X5,varrow(X4,X2))
          & vtcheck(X1,X6,X4)
          & vapp(X5,X6) = X0 )
      | ? [X3] :
          ( vsomeType(X2) = vlookup(X3,X1)
          & vvar(X3) = X0 )
      | ~ vtcheck(X1,X0,X2)
      | sP0(X0,X1,X2) ),
    inference(definition_folding,[],[f189,f191]) ).

fof(f189,plain,
    ! [X2,X0,X1] :
      ( ? [X5,X6,X4] :
          ( vtcheck(X1,X5,varrow(X4,X2))
          & vtcheck(X1,X6,X4)
          & vapp(X5,X6) = X0 )
      | ? [X3] :
          ( vsomeType(X2) = vlookup(X3,X1)
          & vvar(X3) = X0 )
      | ~ vtcheck(X1,X0,X2)
      | ? [X9,X10,X8,X7] :
          ( vabs(X10,X8,X9) = X0
          & vtcheck(vbind(X10,X8,X1),X9,X7)
          & varrow(X8,X7) = X2 ) ),
    inference(flattening,[],[f188]) ).

fof(f188,plain,
    ! [X1,X0,X2] :
      ( ? [X3] :
          ( vsomeType(X2) = vlookup(X3,X1)
          & vvar(X3) = X0 )
      | ? [X5,X6,X4] :
          ( vtcheck(X1,X5,varrow(X4,X2))
          & vtcheck(X1,X6,X4)
          & vapp(X5,X6) = X0 )
      | ? [X9,X10,X8,X7] :
          ( vabs(X10,X8,X9) = X0
          & vtcheck(vbind(X10,X8,X1),X9,X7)
          & varrow(X8,X7) = X2 )
      | ~ vtcheck(X1,X0,X2) ),
    inference(ennf_transformation,[],[f82]) ).

fof(f82,plain,
    ! [X1,X0,X2] :
      ( vtcheck(X1,X0,X2)
     => ( ? [X3] :
            ( vsomeType(X2) = vlookup(X3,X1)
            & vvar(X3) = X0 )
        | ? [X5,X6,X4] :
            ( vtcheck(X1,X5,varrow(X4,X2))
            & vtcheck(X1,X6,X4)
            & vapp(X5,X6) = X0 )
        | ? [X9,X10,X8,X7] :
            ( vabs(X10,X8,X9) = X0
            & vtcheck(vbind(X10,X8,X1),X9,X7)
            & varrow(X8,X7) = X2 ) ) ),
    inference(rectify,[],[f54]) ).

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

fof(f302,plain,
    vtcheck(sK11,vapp(ve1app,ve2app),sK9),
    inference(cnf_transformation,[],[f209]) ).

fof(f367,plain,
    ! [X2,X3,X0,X1] :
      ( vapp(X0,X3) != vapp(X2,X1)
      | X0 = X2 ),
    inference(cnf_transformation,[],[f258]) ).

fof(f258,plain,
    ! [X0,X1,X2,X3] :
      ( ( ( X1 = X3
          & X0 = X2 )
        | vapp(X0,X3) != vapp(X2,X1) )
      & ( X1 != X3
        | vapp(X0,X3) = vapp(X2,X1)
        | X0 != X2 ) ),
    inference(rectify,[],[f146]) ).

fof(f146,plain,
    ! [X1,X2,X0,X3] :
      ( ( ( X2 = X3
          & X0 = X1 )
        | vapp(X1,X3) != vapp(X0,X2) )
      & ( X2 != X3
        | vapp(X1,X3) = vapp(X0,X2)
        | X0 != X1 ) ),
    inference(flattening,[],[f145]) ).

fof(f145,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,[],[f78]) ).

fof(f78,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,
    ! [X3,X6,X5,X7] :
      ( ( vapp(X3,X5) = vapp(X6,X7)
       => ( X3 = X6
          & X5 = X7 ) )
      & ( ( X5 = X7
          & X3 = X6 )
       => vapp(X3,X5) = vapp(X6,X7) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-app') ).

fof(f544,plain,
    vtcheck(sK11,sK22(sK9,vapp(ve1app,ve2app),sK11),varrow(sK24(sK9,vapp(ve1app,ve2app),sK11),sK9)),
    inference(subsumption_resolution,[],[f542,f307]) ).

fof(f542,plain,
    ( vapp(ve1app,ve2app) = vabs(sK19(vapp(ve1app,ve2app),sK11,sK9),sK20(vapp(ve1app,ve2app),sK11,sK9),sK18(vapp(ve1app,ve2app),sK11,sK9))
    | vtcheck(sK11,sK22(sK9,vapp(ve1app,ve2app),sK11),varrow(sK24(sK9,vapp(ve1app,ve2app),sK11),sK9)) ),
    inference(resolution,[],[f515,f330]) ).

fof(f515,plain,
    ( sP0(vapp(ve1app,ve2app),sK11,sK9)
    | vtcheck(sK11,sK22(sK9,vapp(ve1app,ve2app),sK11),varrow(sK24(sK9,vapp(ve1app,ve2app),sK11),sK9)) ),
    inference(subsumption_resolution,[],[f508,f297]) ).

fof(f508,plain,
    ( vtcheck(sK11,sK22(sK9,vapp(ve1app,ve2app),sK11),varrow(sK24(sK9,vapp(ve1app,ve2app),sK11),sK9))
    | sP0(vapp(ve1app,ve2app),sK11,sK9)
    | vapp(ve1app,ve2app) = vvar(sK25(sK9,vapp(ve1app,ve2app),sK11)) ),
    inference(resolution,[],[f302,f335]) ).

fof(f335,plain,
    ! [X2,X0,X1] :
      ( ~ vtcheck(X2,X1,X0)
      | vvar(sK25(X0,X1,X2)) = X1
      | sP0(X1,X2,X0)
      | vtcheck(X2,sK22(X0,X1,X2),varrow(sK24(X0,X1,X2),X0)) ),
    inference(cnf_transformation,[],[f234]) ).

fof(f662,plain,
    ! [X0] : vtcheck(vbind(sK8,X0,sK11),ve2app,sK24(sK9,vapp(ve1app,ve2app),sK11)),
    inference(resolution,[],[f647,f506]) ).

fof(f506,plain,
    ~ visFreeVar(sK8,ve2app),
    inference(resolution,[],[f304,f420]) ).

fof(f420,plain,
    ! [X2,X3,X4] :
      ( visFreeVar(X3,vapp(X2,X4))
      | ~ visFreeVar(X3,X4) ),
    inference(equality_resolution,[],[f419]) ).

fof(f419,plain,
    ! [X2,X3,X1,X4] :
      ( X1 != X3
      | visFreeVar(X3,vapp(X2,X4))
      | ~ visFreeVar(X1,X4) ),
    inference(equality_resolution,[],[f300]) ).

fof(f300,plain,
    ! [X2,X3,X0,X1,X4] :
      ( vapp(X2,X4) != X0
      | X1 != X3
      | visFreeVar(X3,X0)
      | ~ visFreeVar(X1,X4) ),
    inference(cnf_transformation,[],[f206]) ).

fof(f647,plain,
    ! [X0,X1] :
      ( visFreeVar(X0,ve2app)
      | vtcheck(vbind(X0,X1,sK11),ve2app,sK24(sK9,vapp(ve1app,ve2app),sK11)) ),
    inference(resolution,[],[f645,f322]) ).

fof(f322,plain,
    ! [X2,X3,X0,X1] :
      ( ~ vtcheck(X0,ve2app,X3)
      | vtcheck(vbind(X1,X2,X0),ve2app,X3)
      | visFreeVar(X1,ve2app) ),
    inference(cnf_transformation,[],[f219]) ).

fof(f219,plain,
    ! [X0,X1,X2,X3] :
      ( ~ vtcheck(X0,ve2app,X3)
      | visFreeVar(X1,ve2app)
      | vtcheck(vbind(X1,X2,X0),ve2app,X3) ),
    inference(rectify,[],[f132]) ).

fof(f132,plain,
    ! [X2,X1,X3,X0] :
      ( ~ vtcheck(X2,ve2app,X0)
      | visFreeVar(X1,ve2app)
      | vtcheck(vbind(X1,X3,X2),ve2app,X0) ),
    inference(flattening,[],[f131]) ).

fof(f131,plain,
    ! [X3,X0,X2,X1] :
      ( vtcheck(vbind(X1,X3,X2),ve2app,X0)
      | ~ vtcheck(X2,ve2app,X0)
      | visFreeVar(X1,ve2app) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X3,X0,X2,X1] :
      ( ( vtcheck(X2,ve2app,X0)
        & ~ visFreeVar(X1,ve2app) )
     => vtcheck(vbind(X1,X3,X2),ve2app,X0) ),
    inference(rectify,[],[f58]) ).

fof(f58,axiom,
    ! [X14,X8,X19,X9] :
      ( ( vtcheck(X19,ve2app,X14)
        & ~ visFreeVar(X8,ve2app) )
     => vtcheck(vbind(X8,X9,X19),ve2app,X14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-FreeVar-app-IH2') ).

fof(f645,plain,
    vtcheck(sK11,ve2app,sK24(sK9,vapp(ve1app,ve2app),sK11)),
    inference(backward_demodulation,[],[f526,f620]) ).

fof(f620,plain,
    ve2app = sK23(sK9,vapp(ve1app,ve2app),sK11),
    inference(equality_resolution,[],[f560]) ).

fof(f560,plain,
    ! [X8,X9] :
      ( vapp(ve1app,ve2app) != vapp(X8,X9)
      | sK23(sK9,vapp(ve1app,ve2app),sK11) = X9 ),
    inference(superposition,[],[f368,f548]) ).

fof(f368,plain,
    ! [X2,X3,X0,X1] :
      ( vapp(X0,X3) != vapp(X2,X1)
      | X1 = X3 ),
    inference(cnf_transformation,[],[f258]) ).

fof(f526,plain,
    vtcheck(sK11,sK23(sK9,vapp(ve1app,ve2app),sK11),sK24(sK9,vapp(ve1app,ve2app),sK11)),
    inference(subsumption_resolution,[],[f524,f307]) ).

fof(f524,plain,
    ( vtcheck(sK11,sK23(sK9,vapp(ve1app,ve2app),sK11),sK24(sK9,vapp(ve1app,ve2app),sK11))
    | vapp(ve1app,ve2app) = vabs(sK19(vapp(ve1app,ve2app),sK11,sK9),sK20(vapp(ve1app,ve2app),sK11,sK9),sK18(vapp(ve1app,ve2app),sK11,sK9)) ),
    inference(resolution,[],[f516,f330]) ).

fof(f516,plain,
    ( sP0(vapp(ve1app,ve2app),sK11,sK9)
    | vtcheck(sK11,sK23(sK9,vapp(ve1app,ve2app),sK11),sK24(sK9,vapp(ve1app,ve2app),sK11)) ),
    inference(subsumption_resolution,[],[f509,f297]) ).

fof(f509,plain,
    ( vtcheck(sK11,sK23(sK9,vapp(ve1app,ve2app),sK11),sK24(sK9,vapp(ve1app,ve2app),sK11))
    | vapp(ve1app,ve2app) = vvar(sK25(sK9,vapp(ve1app,ve2app),sK11))
    | sP0(vapp(ve1app,ve2app),sK11,sK9) ),
    inference(resolution,[],[f302,f333]) ).

fof(f333,plain,
    ! [X2,X0,X1] :
      ( ~ vtcheck(X2,X1,X0)
      | vvar(sK25(X0,X1,X2)) = X1
      | sP0(X1,X2,X0)
      | vtcheck(X2,sK23(X0,X1,X2),sK24(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f234]) ).

fof(f303,plain,
    ~ vtcheck(vbind(sK8,sK10,sK11),vapp(ve1app,ve2app),sK9),
    inference(cnf_transformation,[],[f209]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : COM126+1 : TPTP v8.1.0. Released v6.4.0.
% 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 : n023.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 17:47:35 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.52  % (2906)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52  % (2906)Instruction limit reached!
% 0.20/0.52  % (2906)------------------------------
% 0.20/0.52  % (2906)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (2906)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (2906)Termination reason: Unknown
% 0.20/0.52  % (2906)Termination phase: shuffling
% 0.20/0.52  
% 0.20/0.52  % (2906)Memory used [KB]: 1535
% 0.20/0.52  % (2906)Time elapsed: 0.004 s
% 0.20/0.52  % (2906)Instructions burned: 3 (million)
% 0.20/0.52  % (2906)------------------------------
% 0.20/0.52  % (2906)------------------------------
% 0.20/0.52  % (2898)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.52  % (2921)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)
% 0.20/0.53  % (2913)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)
% 0.20/0.53  % (2897)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)
% 0.20/0.53  % (2892)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.53  % (2895)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)
% 0.20/0.53  % (2897)Refutation not found, incomplete strategy% (2897)------------------------------
% 0.20/0.53  % (2897)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (2897)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (2897)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (2897)Memory used [KB]: 1663
% 0.20/0.53  % (2897)Time elapsed: 0.125 s
% 0.20/0.53  % (2897)Instructions burned: 3 (million)
% 0.20/0.53  % (2897)------------------------------
% 0.20/0.53  % (2897)------------------------------
% 0.20/0.53  % (2908)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (2914)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.54  % (2920)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)
% 0.20/0.54  % (2896)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)
% 0.20/0.54  % (2894)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)
% 0.20/0.54  % (2894)Instruction limit reached!
% 0.20/0.54  % (2894)------------------------------
% 0.20/0.54  % (2894)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (2894)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (2894)Termination reason: Unknown
% 0.20/0.54  % (2894)Termination phase: Preprocessing 3
% 0.20/0.54  
% 0.20/0.54  % (2894)Memory used [KB]: 1663
% 0.20/0.54  % (2894)Time elapsed: 0.003 s
% 0.20/0.54  % (2894)Instructions burned: 4 (million)
% 0.20/0.54  % (2894)------------------------------
% 0.20/0.54  % (2894)------------------------------
% 0.20/0.54  % (2893)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)
% 0.20/0.54  % (2905)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)
% 0.20/0.54  % (2912)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)
% 0.20/0.54  % (2904)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)
% 0.20/0.54  % (2910)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)
% 0.20/0.54  % (2910)Instruction limit reached!
% 0.20/0.54  % (2910)------------------------------
% 0.20/0.54  % (2910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (2910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (2910)Termination reason: Unknown
% 0.20/0.54  % (2910)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (2910)Memory used [KB]: 1535
% 0.20/0.54  % (2910)Time elapsed: 0.003 s
% 0.20/0.54  % (2910)Instructions burned: 3 (million)
% 0.20/0.54  % (2910)------------------------------
% 0.20/0.54  % (2910)------------------------------
% 0.20/0.54  % (2911)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.55  % (2907)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55  % (2903)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55  % (2900)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.55  % (2909)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.55  % (2919)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.55  % (2915)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.55  % (2909)Instruction limit reached!
% 0.20/0.55  % (2909)------------------------------
% 0.20/0.55  % (2909)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (2909)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (2909)Termination reason: Unknown
% 0.20/0.55  % (2909)Termination phase: Naming
% 0.20/0.55  
% 0.20/0.55  % (2909)Memory used [KB]: 1663
% 0.20/0.55  % (2909)Time elapsed: 0.003 s
% 0.20/0.55  % (2909)Instructions burned: 4 (million)
% 0.20/0.55  % (2909)------------------------------
% 0.20/0.55  % (2909)------------------------------
% 0.20/0.55  % (2901)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)
% 0.20/0.55  % (2903)Instruction limit reached!
% 0.20/0.55  % (2903)------------------------------
% 0.20/0.55  % (2903)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (2903)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (2903)Termination reason: Unknown
% 0.20/0.55  % (2903)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (2903)Memory used [KB]: 6140
% 0.20/0.55  % (2903)Time elapsed: 0.149 s
% 0.20/0.55  % (2903)Instructions burned: 8 (million)
% 0.20/0.55  % (2903)------------------------------
% 0.20/0.55  % (2903)------------------------------
% 0.20/0.55  % (2916)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55  % (2899)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.55  % (2921)Instruction limit reached!
% 0.20/0.55  % (2921)------------------------------
% 0.20/0.55  % (2921)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (2921)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (2921)Termination reason: Unknown
% 0.20/0.56  % (2921)Termination phase: Property scanning
% 0.20/0.56  
% 0.20/0.56  % (2921)Memory used [KB]: 8315
% 0.20/0.56  % (2921)Time elapsed: 0.026 s
% 0.20/0.56  % (2921)Instructions burned: 24 (million)
% 0.20/0.56  % (2921)------------------------------
% 0.20/0.56  % (2921)------------------------------
% 0.20/0.56  % (2902)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)
% 0.20/0.56  % (2920)Instruction limit reached!
% 0.20/0.56  % (2920)------------------------------
% 0.20/0.56  % (2920)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (2920)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (2920)Termination reason: Unknown
% 0.20/0.56  % (2920)Termination phase: Equality resolution with deletion
% 0.20/0.56  
% 0.20/0.56  % (2920)Memory used [KB]: 1791
% 0.20/0.56  % (2920)Time elapsed: 0.005 s
% 0.20/0.56  % (2920)Instructions burned: 8 (million)
% 0.20/0.56  % (2920)------------------------------
% 0.20/0.56  % (2920)------------------------------
% 0.20/0.56  % (2918)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)
% 0.20/0.56  % (2902)Refutation not found, incomplete strategy% (2902)------------------------------
% 0.20/0.56  % (2902)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (2902)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (2902)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56  
% 0.20/0.56  % (2902)Memory used [KB]: 6140
% 0.20/0.56  % (2902)Time elapsed: 0.156 s
% 0.20/0.56  % (2902)Instructions burned: 5 (million)
% 0.20/0.56  % (2902)------------------------------
% 0.20/0.56  % (2902)------------------------------
% 0.20/0.56  % (2904)Refutation not found, incomplete strategy% (2904)------------------------------
% 0.20/0.56  % (2904)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (2896)Instruction limit reached!
% 0.20/0.56  % (2896)------------------------------
% 0.20/0.56  % (2896)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (2896)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (2896)Termination reason: Unknown
% 0.20/0.56  % (2896)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (2896)Memory used [KB]: 6140
% 0.20/0.56  % (2896)Time elapsed: 0.137 s
% 0.20/0.56  % (2896)Instructions burned: 15 (million)
% 0.20/0.56  % (2896)------------------------------
% 0.20/0.56  % (2896)------------------------------
% 0.20/0.56  % (2898)Instruction limit reached!
% 0.20/0.56  % (2898)------------------------------
% 0.20/0.56  % (2898)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (2898)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (2917)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)
% 0.20/0.56  % (2898)Termination reason: Unknown
% 0.20/0.56  % (2898)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (2898)Memory used [KB]: 6268
% 0.20/0.56  % (2898)Time elapsed: 0.100 s
% 0.20/0.56  % (2898)Instructions burned: 39 (million)
% 0.20/0.56  % (2898)------------------------------
% 0.20/0.56  % (2898)------------------------------
% 0.20/0.56  % (2911)Instruction limit reached!
% 0.20/0.56  % (2911)------------------------------
% 0.20/0.56  % (2911)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (2911)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (2911)Termination reason: Unknown
% 0.20/0.56  % (2911)Termination phase: Property scanning
% 0.20/0.56  
% 0.20/0.56  % (2911)Memory used [KB]: 1791
% 0.20/0.56  % (2911)Time elapsed: 0.006 s
% 0.20/0.56  % (2911)Instructions burned: 12 (million)
% 0.20/0.56  % (2911)------------------------------
% 0.20/0.56  % (2911)------------------------------
% 0.20/0.57  % (2907)Instruction limit reached!
% 0.20/0.57  % (2907)------------------------------
% 0.20/0.57  % (2907)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (2907)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (2907)Termination reason: Unknown
% 0.20/0.57  % (2907)Termination phase: Equality resolution with deletion
% 0.20/0.57  
% 0.20/0.57  % (2907)Memory used [KB]: 1791
% 0.20/0.57  % (2907)Time elapsed: 0.004 s
% 0.20/0.57  % (2907)Instructions burned: 8 (million)
% 0.20/0.57  % (2907)------------------------------
% 0.20/0.57  % (2907)------------------------------
% 0.20/0.57  % (2893)Instruction limit reached!
% 0.20/0.57  % (2893)------------------------------
% 0.20/0.57  % (2893)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (2893)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (2893)Termination reason: Unknown
% 0.20/0.57  % (2893)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (2893)Memory used [KB]: 6396
% 0.20/0.57  % (2893)Time elapsed: 0.160 s
% 0.20/0.57  % (2893)Instructions burned: 13 (million)
% 0.20/0.57  % (2893)------------------------------
% 0.20/0.57  % (2893)------------------------------
% 0.20/0.58  % (2904)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (2904)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.58  
% 0.20/0.58  % (2904)Memory used [KB]: 2046
% 0.20/0.58  % (2904)Time elapsed: 0.140 s
% 0.20/0.58  % (2904)Instructions burned: 15 (million)
% 0.20/0.58  % (2904)------------------------------
% 0.20/0.58  % (2904)------------------------------
% 0.20/0.59  % (2912)Instruction limit reached!
% 0.20/0.59  % (2912)------------------------------
% 0.20/0.59  % (2912)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (2912)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (2912)Termination reason: Unknown
% 0.20/0.59  % (2912)Termination phase: Saturation
% 0.20/0.59  
% 0.20/0.59  % (2912)Memory used [KB]: 6524
% 0.20/0.59  % (2912)Time elapsed: 0.187 s
% 0.20/0.59  % (2912)Instructions burned: 31 (million)
% 0.20/0.59  % (2912)------------------------------
% 0.20/0.59  % (2912)------------------------------
% 0.20/0.59  % (2919)Instruction limit reached!
% 0.20/0.59  % (2919)------------------------------
% 0.20/0.59  % (2919)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (2919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (2919)Termination reason: Unknown
% 0.20/0.59  % (2919)Termination phase: Saturation
% 0.20/0.59  
% 0.20/0.59  % (2919)Memory used [KB]: 6652
% 0.20/0.59  % (2919)Time elapsed: 0.184 s
% 0.20/0.59  % (2919)Instructions burned: 26 (million)
% 0.20/0.59  % (2919)------------------------------
% 0.20/0.59  % (2919)------------------------------
% 0.20/0.60  % (2901)Instruction limit reached!
% 0.20/0.60  % (2901)------------------------------
% 0.20/0.60  % (2901)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60  % (2901)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60  % (2901)Termination reason: Unknown
% 0.20/0.60  % (2901)Termination phase: Saturation
% 0.20/0.60  
% 0.20/0.60  % (2901)Memory used [KB]: 6908
% 0.20/0.60  % (2901)Time elapsed: 0.180 s
% 0.20/0.60  % (2901)Instructions burned: 34 (million)
% 0.20/0.60  % (2901)------------------------------
% 0.20/0.60  % (2901)------------------------------
% 0.20/0.60  % (2915)First to succeed.
% 0.20/0.61  % (2895)Instruction limit reached!
% 0.20/0.61  % (2895)------------------------------
% 0.20/0.61  % (2895)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61  % (2895)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61  % (2895)Termination reason: Unknown
% 0.20/0.61  % (2895)Termination phase: Saturation
% 0.20/0.61  
% 0.20/0.61  % (2895)Memory used [KB]: 7164
% 0.20/0.61  % (2895)Time elapsed: 0.196 s
% 0.20/0.61  % (2895)Instructions burned: 51 (million)
% 0.20/0.61  % (2895)------------------------------
% 0.20/0.61  % (2895)------------------------------
% 0.20/0.61  % (2915)Refutation found. Thanks to Tanya!
% 0.20/0.61  % SZS status Theorem for theBenchmark
% 0.20/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.61  % (2915)------------------------------
% 0.20/0.61  % (2915)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61  % (2915)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61  % (2915)Termination reason: Refutation
% 0.20/0.61  
% 0.20/0.61  % (2915)Memory used [KB]: 2174
% 0.20/0.61  % (2915)Time elapsed: 0.198 s
% 0.20/0.61  % (2915)Instructions burned: 28 (million)
% 0.20/0.61  % (2915)------------------------------
% 0.20/0.61  % (2915)------------------------------
% 0.20/0.61  % (2891)Success in time 0.238 s
%------------------------------------------------------------------------------