TSTP Solution File: COM135+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : COM135+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 : n027.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 1.46s 0.62s
% Output   : Refutation 1.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   15
% Syntax   : Number of formulae    :  115 (  25 unt;   0 def)
%            Number of atoms       :  404 ( 274 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  435 ( 146   ~; 165   |;  85   &)
%                                         (   0 <=>;  39  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   22 (  22 usr;   6 con; 0-3 aty)
%            Number of variables   :  445 ( 362   !;  83   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f873,plain,
    $false,
    inference(subsumption_resolution,[],[f849,f310]) ).

fof(f310,plain,
    vtcheck(sK17,sK18,sK21),
    inference(cnf_transformation,[],[f217]) ).

fof(f217,plain,
    ( vtcheck(vbind(sK20,sK21,sK17),vvar(sK19),sK22)
    & vtcheck(sK17,sK18,sK21)
    & ~ vtcheck(sK17,vsubst(sK20,sK18,vvar(sK19)),sK22) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19,sK20,sK21,sK22])],[f215,f216]) ).

fof(f216,plain,
    ( ? [X0,X1,X2,X3,X4,X5] :
        ( vtcheck(vbind(X3,X4,X0),vvar(X2),X5)
        & vtcheck(X0,X1,X4)
        & ~ vtcheck(X0,vsubst(X3,X1,vvar(X2)),X5) )
   => ( vtcheck(vbind(sK20,sK21,sK17),vvar(sK19),sK22)
      & vtcheck(sK17,sK18,sK21)
      & ~ vtcheck(sK17,vsubst(sK20,sK18,vvar(sK19)),sK22) ) ),
    introduced(choice_axiom,[]) ).

fof(f215,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( vtcheck(vbind(X3,X4,X0),vvar(X2),X5)
      & vtcheck(X0,X1,X4)
      & ~ vtcheck(X0,vsubst(X3,X1,vvar(X2)),X5) ),
    inference(rectify,[],[f176]) ).

fof(f176,plain,
    ? [X1,X5,X4,X0,X2,X3] :
      ( vtcheck(vbind(X0,X2,X1),vvar(X4),X3)
      & vtcheck(X1,X5,X2)
      & ~ vtcheck(X1,vsubst(X0,X5,vvar(X4)),X3) ),
    inference(flattening,[],[f175]) ).

fof(f175,plain,
    ? [X1,X3,X4,X5,X0,X2] :
      ( ~ vtcheck(X1,vsubst(X0,X5,vvar(X4)),X3)
      & vtcheck(X1,X5,X2)
      & vtcheck(vbind(X0,X2,X1),vvar(X4),X3) ),
    inference(ennf_transformation,[],[f61]) ).

fof(f61,plain,
    ~ ! [X1,X3,X4,X5,X0,X2] :
        ( ( vtcheck(X1,X5,X2)
          & vtcheck(vbind(X0,X2,X1),vvar(X4),X3) )
       => vtcheck(X1,vsubst(X0,X5,vvar(X4)),X3) ),
    inference(rectify,[],[f59]) ).

fof(f59,negated_conjecture,
    ~ ! [X8,X19,X14,X33,X20,X10] :
        ( ( vtcheck(X19,X10,X14)
          & vtcheck(vbind(X8,X14,X19),vvar(X20),X33) )
       => vtcheck(X19,vsubst(X8,X10,vvar(X20)),X33) ),
    inference(negated_conjecture,[],[f58]) ).

fof(f58,conjecture,
    ! [X8,X19,X14,X33,X20,X10] :
      ( ( vtcheck(X19,X10,X14)
        & vtcheck(vbind(X8,X14,X19),vvar(X20),X33) )
     => vtcheck(X19,vsubst(X8,X10,vvar(X20)),X33) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-subst-var') ).

fof(f849,plain,
    ~ vtcheck(sK17,sK18,sK21),
    inference(backward_demodulation,[],[f529,f804]) ).

fof(f804,plain,
    sK22 = sK21,
    inference(equality_resolution,[],[f649]) ).

fof(f649,plain,
    ! [X2,X0,X1] :
      ( vlookup(X1,vbind(X1,X0,X2)) != vlookup(sK19,vbind(sK19,sK21,sK17))
      | sK22 = X0 ),
    inference(superposition,[],[f634,f452]) ).

fof(f452,plain,
    ! [X3,X6,X4] : vsomeType(X4) = vlookup(X6,vbind(X6,X4,X3)),
    inference(equality_resolution,[],[f451]) ).

fof(f451,plain,
    ! [X3,X1,X6,X4] :
      ( vsomeType(X4) = vlookup(X6,X1)
      | vbind(X6,X4,X3) != X1 ),
    inference(equality_resolution,[],[f450]) ).

fof(f450,plain,
    ! [X2,X3,X1,X6,X4] :
      ( vsomeType(X4) = vlookup(X6,X1)
      | X2 != X6
      | vbind(X2,X4,X3) != X1 ),
    inference(equality_resolution,[],[f449]) ).

fof(f449,plain,
    ! [X2,X3,X0,X1,X6,X4] :
      ( vsomeType(X4) = X0
      | vlookup(X6,X1) != X0
      | X2 != X6
      | vbind(X2,X4,X3) != X1 ),
    inference(equality_resolution,[],[f331]) ).

fof(f331,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( vsomeType(X4) = X0
      | X5 != X6
      | vlookup(X6,X1) != X0
      | X2 != X5
      | vbind(X2,X4,X3) != X1 ),
    inference(cnf_transformation,[],[f232]) ).

fof(f232,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( vsomeType(X4) = X0
      | X5 != X6
      | vlookup(X6,X1) != X0
      | X2 != X5
      | vbind(X2,X4,X3) != X1 ),
    inference(rectify,[],[f117]) ).

fof(f117,plain,
    ! [X1,X4,X2,X6,X3,X5,X0] :
      ( vsomeType(X3) = X1
      | X0 != X5
      | vlookup(X0,X4) != X1
      | X2 != X5
      | vbind(X2,X3,X6) != X4 ),
    inference(flattening,[],[f116]) ).

fof(f116,plain,
    ! [X3,X1,X4,X0,X6,X2,X5] :
      ( vsomeType(X3) = X1
      | vlookup(X0,X4) != X1
      | X2 != X5
      | vbind(X2,X3,X6) != X4
      | X0 != X5 ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X3,X1,X4,X0,X6,X2,X5] :
      ( ( vbind(X2,X3,X6) = X4
        & X0 = X5 )
     => ( X2 = X5
       => ( vlookup(X0,X4) = X1
         => vsomeType(X3) = X1 ) ) ),
    inference(rectify,[],[f23]) ).

fof(f23,axiom,
    ! [X0,X18,X20,X21,X15,X8,X19] :
      ( ( X0 = X8
        & vbind(X20,X21,X19) = X15 )
     => ( X8 = X20
       => ( vlookup(X0,X15) = X18
         => vsomeType(X21) = X18 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lookup1) ).

fof(f634,plain,
    ! [X2] :
      ( vsomeType(X2) != vlookup(sK19,vbind(sK19,sK21,sK17))
      | sK22 = X2 ),
    inference(superposition,[],[f396,f631]) ).

fof(f631,plain,
    vsomeType(sK22) = vlookup(sK19,vbind(sK19,sK21,sK17)),
    inference(subsumption_resolution,[],[f629,f402]) ).

fof(f402,plain,
    ! [X2,X0,X1] : vapp(X1,X0) != vvar(X2),
    inference(cnf_transformation,[],[f286]) ).

fof(f286,plain,
    ! [X0,X1,X2] : vapp(X1,X0) != vvar(X2),
    inference(rectify,[],[f82]) ).

fof(f82,plain,
    ! [X0,X2,X1] : vvar(X1) != vapp(X2,X0),
    inference(rectify,[],[f5]) ).

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

fof(f629,plain,
    ( vsomeType(sK22) = vlookup(sK19,vbind(sK19,sK21,sK17))
    | vvar(sK19) = vapp(sK25(sK22,vbind(sK19,sK21,sK17),vvar(sK19)),sK24(sK22,vbind(sK19,sK21,sK17),vvar(sK19))) ),
    inference(resolution,[],[f627,f335]) ).

fof(f335,plain,
    ! [X2,X0,X1] :
      ( ~ sP2(X0,X1,X2)
      | vapp(sK25(X0,X1,X2),sK24(X0,X1,X2)) = X2 ),
    inference(cnf_transformation,[],[f238]) ).

fof(f238,plain,
    ! [X0,X1,X2] :
      ( ( vtcheck(X1,sK25(X0,X1,X2),varrow(sK23(X0,X1,X2),X0))
        & vtcheck(X1,sK24(X0,X1,X2),sK23(X0,X1,X2))
        & vapp(sK25(X0,X1,X2),sK24(X0,X1,X2)) = X2 )
      | ~ sP2(X0,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24,sK25])],[f236,f237]) ).

fof(f237,plain,
    ! [X0,X1,X2] :
      ( ? [X3,X4,X5] :
          ( vtcheck(X1,X5,varrow(X3,X0))
          & vtcheck(X1,X4,X3)
          & vapp(X5,X4) = X2 )
     => ( vtcheck(X1,sK25(X0,X1,X2),varrow(sK23(X0,X1,X2),X0))
        & vtcheck(X1,sK24(X0,X1,X2),sK23(X0,X1,X2))
        & vapp(sK25(X0,X1,X2),sK24(X0,X1,X2)) = X2 ) ),
    introduced(choice_axiom,[]) ).

fof(f236,plain,
    ! [X0,X1,X2] :
      ( ? [X3,X4,X5] :
          ( vtcheck(X1,X5,varrow(X3,X0))
          & vtcheck(X1,X4,X3)
          & vapp(X5,X4) = X2 )
      | ~ sP2(X0,X1,X2) ),
    inference(rectify,[],[f235]) ).

fof(f235,plain,
    ! [X1,X0,X2] :
      ( ? [X8,X9,X10] :
          ( vtcheck(X0,X10,varrow(X8,X1))
          & vtcheck(X0,X9,X8)
          & vapp(X10,X9) = X2 )
      | ~ sP2(X1,X0,X2) ),
    inference(nnf_transformation,[],[f191]) ).

fof(f191,plain,
    ! [X1,X0,X2] :
      ( ? [X8,X9,X10] :
          ( vtcheck(X0,X10,varrow(X8,X1))
          & vtcheck(X0,X9,X8)
          & vapp(X10,X9) = X2 )
      | ~ sP2(X1,X0,X2) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f627,plain,
    ( sP2(sK22,vbind(sK19,sK21,sK17),vvar(sK19))
    | vsomeType(sK22) = vlookup(sK19,vbind(sK19,sK21,sK17)) ),
    inference(forward_demodulation,[],[f626,f614]) ).

fof(f614,plain,
    sK30(sK22,vvar(sK19),vbind(sK19,sK21,sK17)) = sK19,
    inference(resolution,[],[f613,f499]) ).

fof(f499,plain,
    ! [X2,X1] :
      ( ~ visFreeVar(X2,vvar(X1))
      | X1 = X2 ),
    inference(equality_resolution,[],[f498]) ).

fof(f498,plain,
    ! [X2,X0,X1] :
      ( ~ visFreeVar(X2,vvar(X1))
      | X0 = X1
      | X0 != X2 ),
    inference(equality_resolution,[],[f404]) ).

fof(f404,plain,
    ! [X2,X3,X0,X1] :
      ( vvar(X1) != X3
      | ~ visFreeVar(X2,X3)
      | X0 = X1
      | X0 != X2 ),
    inference(cnf_transformation,[],[f287]) ).

fof(f287,plain,
    ! [X0,X1,X2,X3] :
      ( vvar(X1) != X3
      | ( ( ~ visFreeVar(X2,X3)
          | X0 = X1 )
        & ( visFreeVar(X2,X3)
          | X0 != X1 ) )
      | X0 != X2 ),
    inference(rectify,[],[f123]) ).

fof(f123,plain,
    ! [X3,X1,X2,X0] :
      ( vvar(X1) != X0
      | ( ( ~ visFreeVar(X2,X0)
          | X1 = X3 )
        & ( visFreeVar(X2,X0)
          | X1 != X3 ) )
      | X2 != X3 ),
    inference(flattening,[],[f122]) ).

fof(f122,plain,
    ! [X3,X1,X0,X2] :
      ( ( ( ~ visFreeVar(X2,X0)
          | X1 = X3 )
        & ( visFreeVar(X2,X0)
          | X1 != X3 ) )
      | X2 != X3
      | vvar(X1) != X0 ),
    inference(ennf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X3,X1,X0,X2] :
      ( ( X2 = X3
        & vvar(X1) = X0 )
     => ( ( visFreeVar(X2,X0)
         => X1 = X3 )
        & ( X1 = X3
         => visFreeVar(X2,X0) ) ) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X3,X8,X0,X13] :
      ( ( vvar(X8) = X3
        & X0 = X13 )
     => ( ( visFreeVar(X0,X3)
         => X8 = X13 )
        & ( X8 = X13
         => visFreeVar(X0,X3) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',isFreeVar0) ).

fof(f613,plain,
    visFreeVar(sK30(sK22,vvar(sK19),vbind(sK19,sK21,sK17)),vvar(sK19)),
    inference(superposition,[],[f502,f603]) ).

fof(f603,plain,
    vvar(sK19) = vvar(sK30(sK22,vvar(sK19),vbind(sK19,sK21,sK17))),
    inference(subsumption_resolution,[],[f601,f402]) ).

fof(f601,plain,
    ( vvar(sK19) = vvar(sK30(sK22,vvar(sK19),vbind(sK19,sK21,sK17)))
    | vvar(sK19) = vapp(sK25(sK22,vbind(sK19,sK21,sK17),vvar(sK19)),sK24(sK22,vbind(sK19,sK21,sK17),vvar(sK19))) ),
    inference(resolution,[],[f540,f335]) ).

fof(f540,plain,
    ( sP2(sK22,vbind(sK19,sK21,sK17),vvar(sK19))
    | vvar(sK19) = vvar(sK30(sK22,vvar(sK19),vbind(sK19,sK21,sK17))) ),
    inference(subsumption_resolution,[],[f532,f327]) ).

fof(f327,plain,
    ! [X2,X3,X0,X1] : vvar(X2) != vabs(X0,X3,X1),
    inference(cnf_transformation,[],[f228]) ).

fof(f228,plain,
    ! [X0,X1,X2,X3] : vvar(X2) != vabs(X0,X3,X1),
    inference(rectify,[],[f79]) ).

fof(f79,plain,
    ! [X3,X2,X0,X1] : vvar(X0) != vabs(X3,X1,X2),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X2,X3,X1] : vvar(X0) != vabs(X1,X2,X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-var-abs') ).

fof(f532,plain,
    ( vvar(sK19) = vabs(sK27(sK22,vvar(sK19),vbind(sK19,sK21,sK17)),sK29(sK22,vvar(sK19),vbind(sK19,sK21,sK17)),sK26(sK22,vvar(sK19),vbind(sK19,sK21,sK17)))
    | sP2(sK22,vbind(sK19,sK21,sK17),vvar(sK19))
    | vvar(sK19) = vvar(sK30(sK22,vvar(sK19),vbind(sK19,sK21,sK17))) ),
    inference(resolution,[],[f527,f338]) ).

fof(f338,plain,
    ! [X2,X0,X1] :
      ( ~ vtcheck(X2,X1,X0)
      | vvar(sK30(X0,X1,X2)) = X1
      | sP2(X0,X2,X1)
      | vabs(sK27(X0,X1,X2),sK29(X0,X1,X2),sK26(X0,X1,X2)) = X1 ),
    inference(cnf_transformation,[],[f242]) ).

fof(f242,plain,
    ! [X0,X1,X2] :
      ( ( vtcheck(vbind(sK27(X0,X1,X2),sK29(X0,X1,X2),X2),sK26(X0,X1,X2),sK28(X0,X1,X2))
        & varrow(sK29(X0,X1,X2),sK28(X0,X1,X2)) = X0
        & vabs(sK27(X0,X1,X2),sK29(X0,X1,X2),sK26(X0,X1,X2)) = X1 )
      | ~ vtcheck(X2,X1,X0)
      | sP2(X0,X2,X1)
      | ( vsomeType(X0) = vlookup(sK30(X0,X1,X2),X2)
        & vvar(sK30(X0,X1,X2)) = X1 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK26,sK27,sK28,sK29,sK30])],[f239,f241,f240]) ).

fof(f240,plain,
    ! [X0,X1,X2] :
      ( ? [X3,X4,X5,X6] :
          ( vtcheck(vbind(X4,X6,X2),X3,X5)
          & varrow(X6,X5) = X0
          & vabs(X4,X6,X3) = X1 )
     => ( vtcheck(vbind(sK27(X0,X1,X2),sK29(X0,X1,X2),X2),sK26(X0,X1,X2),sK28(X0,X1,X2))
        & varrow(sK29(X0,X1,X2),sK28(X0,X1,X2)) = X0
        & vabs(sK27(X0,X1,X2),sK29(X0,X1,X2),sK26(X0,X1,X2)) = X1 ) ),
    introduced(choice_axiom,[]) ).

fof(f241,plain,
    ! [X0,X1,X2] :
      ( ? [X7] :
          ( vlookup(X7,X2) = vsomeType(X0)
          & vvar(X7) = X1 )
     => ( vsomeType(X0) = vlookup(sK30(X0,X1,X2),X2)
        & vvar(sK30(X0,X1,X2)) = X1 ) ),
    introduced(choice_axiom,[]) ).

fof(f239,plain,
    ! [X0,X1,X2] :
      ( ? [X3,X4,X5,X6] :
          ( vtcheck(vbind(X4,X6,X2),X3,X5)
          & varrow(X6,X5) = X0
          & vabs(X4,X6,X3) = X1 )
      | ~ vtcheck(X2,X1,X0)
      | sP2(X0,X2,X1)
      | ? [X7] :
          ( vlookup(X7,X2) = vsomeType(X0)
          & vvar(X7) = X1 ) ),
    inference(rectify,[],[f192]) ).

fof(f192,plain,
    ! [X1,X2,X0] :
      ( ? [X6,X7,X4,X5] :
          ( vtcheck(vbind(X7,X5,X0),X6,X4)
          & varrow(X5,X4) = X1
          & vabs(X7,X5,X6) = X2 )
      | ~ vtcheck(X0,X2,X1)
      | sP2(X1,X0,X2)
      | ? [X3] :
          ( vsomeType(X1) = vlookup(X3,X0)
          & vvar(X3) = X2 ) ),
    inference(definition_folding,[],[f159,f191]) ).

fof(f159,plain,
    ! [X1,X2,X0] :
      ( ? [X6,X7,X4,X5] :
          ( vtcheck(vbind(X7,X5,X0),X6,X4)
          & varrow(X5,X4) = X1
          & vabs(X7,X5,X6) = X2 )
      | ~ vtcheck(X0,X2,X1)
      | ? [X8,X9,X10] :
          ( vtcheck(X0,X10,varrow(X8,X1))
          & vtcheck(X0,X9,X8)
          & vapp(X10,X9) = X2 )
      | ? [X3] :
          ( vsomeType(X1) = vlookup(X3,X0)
          & vvar(X3) = X2 ) ),
    inference(flattening,[],[f158]) ).

fof(f158,plain,
    ! [X1,X0,X2] :
      ( ? [X3] :
          ( vsomeType(X1) = vlookup(X3,X0)
          & vvar(X3) = X2 )
      | ? [X6,X7,X4,X5] :
          ( vtcheck(vbind(X7,X5,X0),X6,X4)
          & varrow(X5,X4) = X1
          & vabs(X7,X5,X6) = X2 )
      | ? [X8,X9,X10] :
          ( vtcheck(X0,X10,varrow(X8,X1))
          & vtcheck(X0,X9,X8)
          & vapp(X10,X9) = X2 )
      | ~ vtcheck(X0,X2,X1) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X1,X0,X2] :
      ( vtcheck(X0,X2,X1)
     => ( ? [X3] :
            ( vsomeType(X1) = vlookup(X3,X0)
            & vvar(X3) = X2 )
        | ? [X6,X7,X4,X5] :
            ( vtcheck(vbind(X7,X5,X0),X6,X4)
            & varrow(X5,X4) = X1
            & vabs(X7,X5,X6) = X2 )
        | ? [X8,X9,X10] :
            ( vtcheck(X0,X10,varrow(X8,X1))
            & vtcheck(X0,X9,X8)
            & vapp(X10,X9) = X2 ) ) ),
    inference(rectify,[],[f54]) ).

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

fof(f527,plain,
    vtcheck(vbind(sK19,sK21,sK17),vvar(sK19),sK22),
    inference(backward_demodulation,[],[f311,f525]) ).

fof(f525,plain,
    sK20 = sK19,
    inference(subsumption_resolution,[],[f524,f512]) ).

fof(f512,plain,
    ( ~ vtcheck(sK17,vvar(sK19),sK22)
    | sK20 = sK19 ),
    inference(superposition,[],[f309,f437]) ).

fof(f437,plain,
    ! [X2,X6,X4] :
      ( vsubst(X4,X6,vvar(X2)) = vvar(X2)
      | X2 = X4 ),
    inference(equality_resolution,[],[f436]) ).

fof(f436,plain,
    ! [X2,X1,X6,X4] :
      ( vsubst(X4,X6,vvar(X2)) = vvar(X2)
      | X1 = X2
      | X1 != X4 ),
    inference(equality_resolution,[],[f435]) ).

fof(f435,plain,
    ! [X2,X1,X6,X4,X5] :
      ( vsubst(X4,X6,vvar(X2)) != X5
      | vvar(X2) = X5
      | X1 = X2
      | X1 != X4 ),
    inference(equality_resolution,[],[f434]) ).

fof(f434,plain,
    ! [X2,X3,X1,X6,X4,X5] :
      ( X3 != X6
      | vsubst(X4,X3,vvar(X2)) != X5
      | vvar(X2) = X5
      | X1 = X2
      | X1 != X4 ),
    inference(equality_resolution,[],[f323]) ).

fof(f323,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( vvar(X2) != X0
      | X3 != X6
      | vsubst(X4,X3,X0) != X5
      | vvar(X2) = X5
      | X1 = X2
      | X1 != X4 ),
    inference(cnf_transformation,[],[f225]) ).

fof(f225,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( vvar(X2) != X0
      | X3 != X6
      | vsubst(X4,X3,X0) != X5
      | vvar(X2) = X5
      | X1 = X2
      | X1 != X4 ),
    inference(rectify,[],[f132]) ).

fof(f132,plain,
    ! [X5,X1,X0,X3,X2,X6,X4] :
      ( vvar(X0) != X5
      | X3 != X4
      | vsubst(X2,X3,X5) != X6
      | vvar(X0) = X6
      | X0 = X1
      | X1 != X2 ),
    inference(flattening,[],[f131]) ).

fof(f131,plain,
    ! [X6,X5,X1,X2,X3,X4,X0] :
      ( vvar(X0) = X6
      | vsubst(X2,X3,X5) != X6
      | X0 = X1
      | vvar(X0) != X5
      | X1 != X2
      | X3 != X4 ),
    inference(ennf_transformation,[],[f77]) ).

fof(f77,plain,
    ! [X6,X5,X1,X2,X3,X4,X0] :
      ( ( vvar(X0) = X5
        & X1 = X2
        & X3 = X4 )
     => ( X0 != X1
       => ( vsubst(X2,X3,X5) = X6
         => vvar(X0) = X6 ) ) ),
    inference(rectify,[],[f30]) ).

fof(f30,axiom,
    ! [X20,X8,X0,X3,X10,X5,X18] :
      ( ( X3 = X10
        & X0 = X8
        & vvar(X20) = X5 )
     => ( X8 != X20
       => ( vsubst(X0,X3,X5) = X18
         => vvar(X20) = X18 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subst1) ).

fof(f309,plain,
    ~ vtcheck(sK17,vsubst(sK20,sK18,vvar(sK19)),sK22),
    inference(cnf_transformation,[],[f217]) ).

fof(f524,plain,
    ( sK20 = sK19
    | vtcheck(sK17,vvar(sK19),sK22) ),
    inference(resolution,[],[f513,f499]) ).

fof(f513,plain,
    ( visFreeVar(sK20,vvar(sK19))
    | vtcheck(sK17,vvar(sK19),sK22) ),
    inference(resolution,[],[f311,f328]) ).

fof(f328,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ vtcheck(vbind(X0,X1,X2),X4,X3)
      | visFreeVar(X0,X4)
      | vtcheck(X2,X4,X3) ),
    inference(cnf_transformation,[],[f229]) ).

fof(f229,plain,
    ! [X0,X1,X2,X3,X4] :
      ( visFreeVar(X0,X4)
      | vtcheck(X2,X4,X3)
      | ~ vtcheck(vbind(X0,X1,X2),X4,X3) ),
    inference(rectify,[],[f172]) ).

fof(f172,plain,
    ! [X1,X2,X3,X4,X0] :
      ( visFreeVar(X1,X0)
      | vtcheck(X3,X0,X4)
      | ~ vtcheck(vbind(X1,X2,X3),X0,X4) ),
    inference(flattening,[],[f171]) ).

fof(f171,plain,
    ! [X1,X3,X4,X0,X2] :
      ( vtcheck(X3,X0,X4)
      | visFreeVar(X1,X0)
      | ~ vtcheck(vbind(X1,X2,X3),X0,X4) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X1,X3,X4,X0,X2] :
      ( ( ~ visFreeVar(X1,X0)
        & vtcheck(vbind(X1,X2,X3),X0,X4) )
     => vtcheck(X3,X0,X4) ),
    inference(rectify,[],[f56]) ).

fof(f56,axiom,
    ! [X10,X8,X9,X19,X14] :
      ( ( vtcheck(vbind(X8,X9,X19),X10,X14)
        & ~ visFreeVar(X8,X10) )
     => vtcheck(X19,X10,X14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Strong') ).

fof(f311,plain,
    vtcheck(vbind(sK20,sK21,sK17),vvar(sK19),sK22),
    inference(cnf_transformation,[],[f217]) ).

fof(f502,plain,
    ! [X2] : visFreeVar(X2,vvar(X2)),
    inference(equality_resolution,[],[f501]) ).

fof(f501,plain,
    ! [X2,X1] :
      ( visFreeVar(X2,vvar(X1))
      | X1 != X2 ),
    inference(equality_resolution,[],[f500]) ).

fof(f500,plain,
    ! [X2,X0,X1] :
      ( visFreeVar(X2,vvar(X1))
      | X0 != X1
      | X0 != X2 ),
    inference(equality_resolution,[],[f403]) ).

fof(f403,plain,
    ! [X2,X3,X0,X1] :
      ( vvar(X1) != X3
      | visFreeVar(X2,X3)
      | X0 != X1
      | X0 != X2 ),
    inference(cnf_transformation,[],[f287]) ).

fof(f626,plain,
    ( sP2(sK22,vbind(sK19,sK21,sK17),vvar(sK19))
    | vsomeType(sK22) = vlookup(sK30(sK22,vvar(sK19),vbind(sK19,sK21,sK17)),vbind(sK19,sK21,sK17)) ),
    inference(forward_demodulation,[],[f625,f525]) ).

fof(f625,plain,
    ( sP2(sK22,vbind(sK20,sK21,sK17),vvar(sK19))
    | vsomeType(sK22) = vlookup(sK30(sK22,vvar(sK19),vbind(sK19,sK21,sK17)),vbind(sK19,sK21,sK17)) ),
    inference(forward_demodulation,[],[f523,f525]) ).

fof(f523,plain,
    ( vlookup(sK30(sK22,vvar(sK19),vbind(sK20,sK21,sK17)),vbind(sK20,sK21,sK17)) = vsomeType(sK22)
    | sP2(sK22,vbind(sK20,sK21,sK17),vvar(sK19)) ),
    inference(subsumption_resolution,[],[f516,f327]) ).

fof(f516,plain,
    ( vlookup(sK30(sK22,vvar(sK19),vbind(sK20,sK21,sK17)),vbind(sK20,sK21,sK17)) = vsomeType(sK22)
    | sP2(sK22,vbind(sK20,sK21,sK17),vvar(sK19))
    | vvar(sK19) = vabs(sK27(sK22,vvar(sK19),vbind(sK20,sK21,sK17)),sK29(sK22,vvar(sK19),vbind(sK20,sK21,sK17)),sK26(sK22,vvar(sK19),vbind(sK20,sK21,sK17))) ),
    inference(resolution,[],[f311,f339]) ).

fof(f339,plain,
    ! [X2,X0,X1] :
      ( ~ vtcheck(X2,X1,X0)
      | vsomeType(X0) = vlookup(sK30(X0,X1,X2),X2)
      | sP2(X0,X2,X1)
      | vabs(sK27(X0,X1,X2),sK29(X0,X1,X2),sK26(X0,X1,X2)) = X1 ),
    inference(cnf_transformation,[],[f242]) ).

fof(f396,plain,
    ! [X0,X1] :
      ( vsomeType(X1) != vsomeType(X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f281]) ).

fof(f281,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | vsomeType(X1) != vsomeType(X0) )
      & ( vsomeType(X1) = vsomeType(X0)
        | X0 != X1 ) ),
    inference(rectify,[],[f130]) ).

fof(f130,plain,
    ! [X1,X0] :
      ( ( X0 = X1
        | vsomeType(X1) != vsomeType(X0) )
      & ( vsomeType(X1) = vsomeType(X0)
        | X0 != X1 ) ),
    inference(ennf_transformation,[],[f88]) ).

fof(f88,plain,
    ! [X1,X0] :
      ( ( X0 = X1
       => vsomeType(X1) = vsomeType(X0) )
      & ( vsomeType(X1) = vsomeType(X0)
       => X0 = X1 ) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X2,X4] :
      ( ( X2 = X4
       => vsomeType(X2) = vsomeType(X4) )
      & ( vsomeType(X2) = vsomeType(X4)
       => X2 = X4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-someType') ).

fof(f529,plain,
    ~ vtcheck(sK17,sK18,sK22),
    inference(forward_demodulation,[],[f528,f466]) ).

fof(f466,plain,
    ! [X3,X6] : vsubst(X6,X3,vvar(X6)) = X3,
    inference(equality_resolution,[],[f465]) ).

fof(f465,plain,
    ! [X3,X1,X6] :
      ( vvar(X6) != X1
      | vsubst(X6,X3,X1) = X3 ),
    inference(equality_resolution,[],[f464]) ).

fof(f464,plain,
    ! [X3,X1,X6,X5] :
      ( vsubst(X6,X3,X1) != X5
      | vvar(X6) != X1
      | X3 = X5 ),
    inference(equality_resolution,[],[f463]) ).

fof(f463,plain,
    ! [X3,X1,X6,X4,X5] :
      ( X4 != X6
      | vsubst(X4,X3,X1) != X5
      | vvar(X6) != X1
      | X3 = X5 ),
    inference(equality_resolution,[],[f462]) ).

fof(f462,plain,
    ! [X2,X3,X1,X6,X4,X5] :
      ( X2 != X3
      | X4 != X6
      | vsubst(X4,X3,X1) != X5
      | vvar(X6) != X1
      | X2 = X5 ),
    inference(equality_resolution,[],[f347]) ).

fof(f347,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( X0 != X6
      | X2 != X3
      | X4 != X6
      | vsubst(X4,X3,X1) != X5
      | vvar(X0) != X1
      | X2 = X5 ),
    inference(cnf_transformation,[],[f247]) ).

fof(f247,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( X0 != X6
      | X2 != X3
      | X4 != X6
      | vsubst(X4,X3,X1) != X5
      | vvar(X0) != X1
      | X2 = X5 ),
    inference(rectify,[],[f129]) ).

fof(f129,plain,
    ! [X0,X1,X2,X4,X6,X5,X3] :
      ( X0 != X3
      | X2 != X4
      | X3 != X6
      | vsubst(X6,X4,X1) != X5
      | vvar(X0) != X1
      | X2 = X5 ),
    inference(flattening,[],[f128]) ).

fof(f128,plain,
    ! [X6,X3,X5,X4,X1,X2,X0] :
      ( X2 = X5
      | vsubst(X6,X4,X1) != X5
      | X0 != X3
      | vvar(X0) != X1
      | X3 != X6
      | X2 != X4 ),
    inference(ennf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X6,X3,X5,X4,X1,X2,X0] :
      ( ( vvar(X0) = X1
        & X3 = X6
        & X2 = X4 )
     => ( X0 = X3
       => ( vsubst(X6,X4,X1) = X5
         => X2 = X5 ) ) ),
    inference(rectify,[],[f29]) ).

fof(f29,axiom,
    ! [X20,X5,X10,X8,X3,X18,X0] :
      ( ( vvar(X20) = X5
        & X3 = X10
        & X0 = X8 )
     => ( X8 = X20
       => ( vsubst(X0,X3,X5) = X18
         => X10 = X18 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subst0) ).

fof(f528,plain,
    ~ vtcheck(sK17,vsubst(sK19,sK18,vvar(sK19)),sK22),
    inference(backward_demodulation,[],[f309,f525]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : COM135+1 : TPTP v8.1.0. Released v6.4.0.
% 0.06/0.13  % 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 : n027.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 17:43:30 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  % (4569)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)
% 0.19/0.50  % (4577)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)
% 0.19/0.51  % (4558)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51  % (4557)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)
% 0.19/0.51  % (4585)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)
% 0.19/0.51  % (4559)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)
% 0.19/0.51  % (4560)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)
% 0.19/0.51  % (4567)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)
% 0.19/0.52  % (4578)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)
% 0.19/0.52  % (4583)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)
% 1.30/0.52  % (4558)Instruction limit reached!
% 1.30/0.52  % (4558)------------------------------
% 1.30/0.52  % (4558)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.52  % (4570)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)
% 1.30/0.52  % (4567)Instruction limit reached!
% 1.30/0.52  % (4567)------------------------------
% 1.30/0.52  % (4567)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.52  % (4567)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.52  % (4567)Termination reason: Unknown
% 1.30/0.52  % (4567)Termination phase: Saturation
% 1.30/0.52  
% 1.30/0.52  % (4567)Memory used [KB]: 6140
% 1.30/0.52  % (4567)Time elapsed: 0.113 s
% 1.30/0.52  % (4567)Instructions burned: 7 (million)
% 1.30/0.52  % (4567)------------------------------
% 1.30/0.52  % (4567)------------------------------
% 1.30/0.52  % (4558)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.52  % (4558)Termination reason: Unknown
% 1.30/0.52  % (4558)Termination phase: Preprocessing 3
% 1.30/0.52  
% 1.30/0.52  % (4558)Memory used [KB]: 1663
% 1.30/0.52  % (4558)Time elapsed: 0.004 s
% 1.30/0.52  % (4558)Instructions burned: 4 (million)
% 1.30/0.52  % (4558)------------------------------
% 1.30/0.52  % (4558)------------------------------
% 1.30/0.52  % (4562)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)
% 1.30/0.52  % (4579)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.30/0.52  % (4565)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.30/0.52  % (4580)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)
% 1.30/0.53  % (4556)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.30/0.53  % (4561)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)
% 1.30/0.53  % (4561)Refutation not found, incomplete strategy% (4561)------------------------------
% 1.30/0.53  % (4561)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.53  % (4561)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.53  % (4561)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.53  
% 1.30/0.53  % (4561)Memory used [KB]: 1663
% 1.30/0.53  % (4561)Time elapsed: 0.122 s
% 1.30/0.53  % (4561)Instructions burned: 4 (million)
% 1.30/0.53  % (4561)------------------------------
% 1.30/0.53  % (4561)------------------------------
% 1.30/0.53  % (4568)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)
% 1.30/0.53  % (4560)Instruction limit reached!
% 1.30/0.53  % (4560)------------------------------
% 1.30/0.53  % (4560)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.53  % (4560)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.53  % (4560)Termination reason: Unknown
% 1.30/0.53  % (4560)Termination phase: Saturation
% 1.30/0.53  
% 1.30/0.53  % (4560)Memory used [KB]: 6268
% 1.30/0.53  % (4560)Time elapsed: 0.132 s
% 1.30/0.53  % (4560)Instructions burned: 13 (million)
% 1.30/0.53  % (4560)------------------------------
% 1.30/0.53  % (4560)------------------------------
% 1.30/0.53  % (4557)Instruction limit reached!
% 1.30/0.53  % (4557)------------------------------
% 1.30/0.53  % (4557)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.53  % (4557)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.53  % (4557)Termination reason: Unknown
% 1.30/0.53  % (4557)Termination phase: Saturation
% 1.30/0.53  
% 1.30/0.53  % (4557)Memory used [KB]: 6524
% 1.30/0.53  % (4557)Time elapsed: 0.135 s
% 1.30/0.53  % (4557)Instructions burned: 14 (million)
% 1.30/0.53  % (4557)------------------------------
% 1.30/0.53  % (4557)------------------------------
% 1.30/0.53  % (4572)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)
% 1.30/0.54  % (4571)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.30/0.54  % (4574)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)
% 1.30/0.54  % (4570)Instruction limit reached!
% 1.30/0.54  % (4570)------------------------------
% 1.30/0.54  % (4570)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.54  % (4570)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.54  % (4570)Termination reason: Unknown
% 1.30/0.54  % (4570)Termination phase: Unused predicate definition removal
% 1.30/0.54  
% 1.30/0.54  % (4570)Memory used [KB]: 1535
% 1.30/0.54  % (4570)Time elapsed: 0.004 s
% 1.30/0.54  % (4570)Instructions burned: 3 (million)
% 1.30/0.54  % (4570)------------------------------
% 1.30/0.54  % (4570)------------------------------
% 1.30/0.54  % (4574)Instruction limit reached!
% 1.30/0.54  % (4574)------------------------------
% 1.30/0.54  % (4574)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.54  % (4574)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.54  % (4574)Termination reason: Unknown
% 1.30/0.54  % (4574)Termination phase: Preprocessing 2
% 1.30/0.54  
% 1.30/0.54  % (4574)Memory used [KB]: 1535
% 1.30/0.54  % (4574)Time elapsed: 0.003 s
% 1.30/0.54  % (4574)Instructions burned: 2 (million)
% 1.30/0.54  % (4574)------------------------------
% 1.30/0.54  % (4574)------------------------------
% 1.30/0.54  % (4568)Instruction limit reached!
% 1.30/0.54  % (4568)------------------------------
% 1.30/0.54  % (4568)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.54  % (4568)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.54  % (4568)Termination reason: Unknown
% 1.30/0.54  % (4568)Termination phase: Saturation
% 1.30/0.54  
% 1.30/0.54  % (4568)Memory used [KB]: 2046
% 1.30/0.54  % (4568)Time elapsed: 0.134 s
% 1.30/0.54  % (4568)Instructions burned: 17 (million)
% 1.30/0.54  % (4568)------------------------------
% 1.30/0.54  % (4568)------------------------------
% 1.46/0.54  % (4571)Instruction limit reached!
% 1.46/0.54  % (4571)------------------------------
% 1.46/0.54  % (4571)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.54  % (4571)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.54  % (4571)Termination reason: Unknown
% 1.46/0.54  % (4571)Termination phase: Equality resolution with deletion
% 1.46/0.54  
% 1.46/0.54  % (4571)Memory used [KB]: 1791
% 1.46/0.54  % (4571)Time elapsed: 0.004 s
% 1.46/0.54  % (4571)Instructions burned: 8 (million)
% 1.46/0.54  % (4571)------------------------------
% 1.46/0.54  % (4571)------------------------------
% 1.46/0.54  % (4582)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.46/0.54  % (4566)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.46/0.54  % (4581)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.46/0.54  % (4564)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)
% 1.46/0.54  % (4563)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.46/0.54  % (4585)Instruction limit reached!
% 1.46/0.54  % (4585)------------------------------
% 1.46/0.54  % (4585)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.54  % (4566)Refutation not found, incomplete strategy% (4566)------------------------------
% 1.46/0.54  % (4566)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.54  % (4566)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.54  % (4566)Termination reason: Refutation not found, incomplete strategy
% 1.46/0.54  
% 1.46/0.54  % (4566)Memory used [KB]: 6140
% 1.46/0.54  % (4566)Time elapsed: 0.147 s
% 1.46/0.54  % (4566)Instructions burned: 5 (million)
% 1.46/0.54  % (4566)------------------------------
% 1.46/0.54  % (4566)------------------------------
% 1.46/0.54  % (4585)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.54  % (4585)Termination reason: Unknown
% 1.46/0.54  % (4585)Termination phase: Property scanning
% 1.46/0.54  
% 1.46/0.54  % (4585)Memory used [KB]: 8315
% 1.46/0.54  % (4585)Time elapsed: 0.020 s
% 1.46/0.54  % (4585)Instructions burned: 24 (million)
% 1.46/0.54  % (4585)------------------------------
% 1.46/0.54  % (4585)------------------------------
% 1.46/0.54  % (4564)Refutation not found, incomplete strategy% (4564)------------------------------
% 1.46/0.54  % (4564)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.54  % (4564)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.54  % (4564)Termination reason: Refutation not found, incomplete strategy
% 1.46/0.54  
% 1.46/0.54  % (4564)Memory used [KB]: 6012
% 1.46/0.54  % (4564)Time elapsed: 0.150 s
% 1.46/0.54  % (4564)Instructions burned: 3 (million)
% 1.46/0.54  % (4564)------------------------------
% 1.46/0.54  % (4564)------------------------------
% 1.46/0.55  % (4575)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.46/0.55  % (4573)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.46/0.55  % (4573)Instruction limit reached!
% 1.46/0.55  % (4573)------------------------------
% 1.46/0.55  % (4573)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.55  % (4573)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.55  % (4573)Termination reason: Unknown
% 1.46/0.55  % (4573)Termination phase: Preprocessing 3
% 1.46/0.55  
% 1.46/0.55  % (4573)Memory used [KB]: 1663
% 1.46/0.55  % (4573)Time elapsed: 0.004 s
% 1.46/0.55  % (4573)Instructions burned: 4 (million)
% 1.46/0.55  % (4573)------------------------------
% 1.46/0.55  % (4573)------------------------------
% 1.46/0.55  % (4584)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.46/0.55  % (4583)Instruction limit reached!
% 1.46/0.55  % (4583)------------------------------
% 1.46/0.55  % (4583)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.55  % (4583)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.55  % (4583)Termination reason: Unknown
% 1.46/0.55  % (4583)Termination phase: Saturation
% 1.46/0.55  
% 1.46/0.55  % (4583)Memory used [KB]: 6652
% 1.46/0.55  % (4583)Time elapsed: 0.135 s
% 1.46/0.55  % (4583)Instructions burned: 26 (million)
% 1.46/0.55  % (4583)------------------------------
% 1.46/0.55  % (4583)------------------------------
% 1.46/0.55  % (4576)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.46/0.56  % (4584)Instruction limit reached!
% 1.46/0.56  % (4584)------------------------------
% 1.46/0.56  % (4584)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.56  % (4584)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.56  % (4584)Termination reason: Unknown
% 1.46/0.56  % (4584)Termination phase: Equality proxy
% 1.46/0.56  
% 1.46/0.56  % (4584)Memory used [KB]: 1791
% 1.46/0.56  % (4584)Time elapsed: 0.005 s
% 1.46/0.56  % (4584)Instructions burned: 10 (million)
% 1.46/0.56  % (4584)------------------------------
% 1.46/0.56  % (4584)------------------------------
% 1.46/0.56  % (4565)Instruction limit reached!
% 1.46/0.56  % (4565)------------------------------
% 1.46/0.56  % (4565)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.56  % (4565)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.56  % (4565)Termination reason: Unknown
% 1.46/0.56  % (4565)Termination phase: Saturation
% 1.46/0.56  
% 1.46/0.56  % (4565)Memory used [KB]: 7036
% 1.46/0.56  % (4565)Time elapsed: 0.162 s
% 1.46/0.56  % (4565)Instructions burned: 34 (million)
% 1.46/0.56  % (4565)------------------------------
% 1.46/0.56  % (4565)------------------------------
% 1.46/0.56  % (4575)Instruction limit reached!
% 1.46/0.56  % (4575)------------------------------
% 1.46/0.56  % (4575)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.56  % (4575)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.56  % (4575)Termination reason: Unknown
% 1.46/0.56  % (4575)Termination phase: Property scanning
% 1.46/0.56  
% 1.46/0.56  % (4575)Memory used [KB]: 1918
% 1.46/0.56  % (4575)Time elapsed: 0.007 s
% 1.46/0.56  % (4575)Instructions burned: 12 (million)
% 1.46/0.56  % (4575)------------------------------
% 1.46/0.56  % (4575)------------------------------
% 1.46/0.57  % (4582)Refutation not found, incomplete strategy% (4582)------------------------------
% 1.46/0.57  % (4582)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.57  % (4582)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.57  % (4582)Termination reason: Refutation not found, incomplete strategy
% 1.46/0.57  
% 1.46/0.57  % (4582)Memory used [KB]: 6780
% 1.46/0.57  % (4582)Time elapsed: 0.139 s
% 1.46/0.57  % (4582)Instructions burned: 17 (million)
% 1.46/0.57  % (4582)------------------------------
% 1.46/0.57  % (4582)------------------------------
% 1.46/0.57  % (4569)Instruction limit reached!
% 1.46/0.57  % (4569)------------------------------
% 1.46/0.57  % (4569)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.57  % (4569)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.57  % (4569)Termination reason: Unknown
% 1.46/0.57  % (4569)Termination phase: Saturation
% 1.46/0.57  
% 1.46/0.57  % (4569)Memory used [KB]: 7291
% 1.46/0.57  % (4569)Time elapsed: 0.154 s
% 1.46/0.57  % (4569)Instructions burned: 52 (million)
% 1.46/0.57  % (4569)------------------------------
% 1.46/0.57  % (4569)------------------------------
% 1.46/0.58  % (4562)Instruction limit reached!
% 1.46/0.58  % (4562)------------------------------
% 1.46/0.58  % (4562)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.58  % (4576)Instruction limit reached!
% 1.46/0.58  % (4576)------------------------------
% 1.46/0.58  % (4576)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.60  % (4562)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.60  % (4562)Termination reason: Unknown
% 1.46/0.60  % (4562)Termination phase: Saturation
% 1.46/0.60  
% 1.46/0.60  % (4562)Memory used [KB]: 6524
% 1.46/0.60  % (4562)Time elapsed: 0.131 s
% 1.46/0.60  % (4562)Instructions burned: 41 (million)
% 1.46/0.60  % (4562)------------------------------
% 1.46/0.60  % (4562)------------------------------
% 1.46/0.60  % (4576)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.60  % (4576)Termination reason: Unknown
% 1.46/0.60  % (4576)Termination phase: Saturation
% 1.46/0.60  
% 1.46/0.60  % (4576)Memory used [KB]: 6524
% 1.46/0.60  % (4576)Time elapsed: 0.182 s
% 1.46/0.60  % (4576)Instructions burned: 31 (million)
% 1.46/0.60  % (4576)------------------------------
% 1.46/0.60  % (4576)------------------------------
% 1.46/0.60  % (4579)First to succeed.
% 1.46/0.61  % (4578)Instruction limit reached!
% 1.46/0.61  % (4578)------------------------------
% 1.46/0.61  % (4578)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.61  % (4563)Instruction limit reached!
% 1.46/0.61  % (4563)------------------------------
% 1.46/0.61  % (4563)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.61  % (4580)Instruction limit reached!
% 1.46/0.61  % (4580)------------------------------
% 1.46/0.61  % (4580)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.61  % (4559)Instruction limit reached!
% 1.46/0.61  % (4559)------------------------------
% 1.46/0.61  % (4559)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.61  % (4572)Instruction limit reached!
% 1.46/0.61  % (4572)------------------------------
% 1.46/0.61  % (4572)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.61  % (4572)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.61  % (4572)Termination reason: Unknown
% 1.46/0.61  % (4572)Termination phase: Saturation
% 1.46/0.61  
% 1.46/0.61  % (4572)Memory used [KB]: 7419
% 1.46/0.61  % (4572)Time elapsed: 0.198 s
% 1.46/0.61  % (4572)Instructions burned: 51 (million)
% 1.46/0.61  % (4572)------------------------------
% 1.46/0.61  % (4572)------------------------------
% 1.46/0.61  % (4559)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.61  % (4559)Termination reason: Unknown
% 1.46/0.61  % (4559)Termination phase: Saturation
% 1.46/0.61  
% 1.46/0.61  % (4559)Memory used [KB]: 7547
% 1.46/0.61  % (4559)Time elapsed: 0.206 s
% 1.46/0.61  % (4559)Instructions burned: 52 (million)
% 1.46/0.61  % (4559)------------------------------
% 1.46/0.61  % (4559)------------------------------
% 1.46/0.61  % (4580)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.61  % (4580)Termination reason: Unknown
% 1.46/0.61  % (4580)Termination phase: Saturation
% 1.46/0.61  
% 1.46/0.61  % (4580)Memory used [KB]: 6908
% 1.46/0.61  % (4580)Time elapsed: 0.210 s
% 1.46/0.61  % (4580)Instructions burned: 51 (million)
% 1.46/0.61  % (4580)------------------------------
% 1.46/0.61  % (4580)------------------------------
% 1.46/0.62  % (4586)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)
% 1.46/0.62  % (4579)Refutation found. Thanks to Tanya!
% 1.46/0.62  % SZS status Theorem for theBenchmark
% 1.46/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 1.46/0.62  % (4579)------------------------------
% 1.46/0.62  % (4579)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.62  % (4579)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.62  % (4579)Termination reason: Refutation
% 1.46/0.62  
% 1.46/0.62  % (4579)Memory used [KB]: 2302
% 1.46/0.62  % (4579)Time elapsed: 0.187 s
% 1.46/0.62  % (4579)Instructions burned: 42 (million)
% 1.46/0.62  % (4579)------------------------------
% 1.46/0.62  % (4579)------------------------------
% 1.46/0.62  % (4555)Success in time 0.259 s
%------------------------------------------------------------------------------