TSTP Solution File: COM140+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : COM140+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_sat --cores 0 -t %d %s

% Computer : n002.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 15:53:59 EDT 2022

% Result   : Theorem 2.22s 0.68s
% Output   : Refutation 2.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   87 (  16 unt;   0 def)
%            Number of atoms       :  267 (  89 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  287 ( 107   ~; 105   |;  47   &)
%                                         (   2 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   8 con; 0-3 aty)
%            Number of variables   :  277 ( 253   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1071,plain,
    $false,
    inference(avatar_sat_refutation,[],[f998,f1006,f1070]) ).

fof(f1070,plain,
    ~ spl93_1,
    inference(avatar_contradiction_clause,[],[f1065]) ).

fof(f1065,plain,
    ( $false
    | ~ spl93_1 ),
    inference(resolution,[],[f1063,f610]) ).

fof(f610,plain,
    ! [X3] : visFreeVar(X3,vvar(X3)),
    inference(equality_resolution,[],[f609]) ).

fof(f609,plain,
    ! [X3,X0] :
      ( visFreeVar(X0,vvar(X3))
      | X0 != X3 ),
    inference(equality_resolution,[],[f608]) ).

fof(f608,plain,
    ! [X2,X3,X0] :
      ( visFreeVar(X0,vvar(X2))
      | X2 != X3
      | X0 != X3 ),
    inference(equality_resolution,[],[f468]) ).

fof(f468,plain,
    ! [X2,X3,X0,X1] :
      ( vvar(X2) != X1
      | visFreeVar(X0,X1)
      | X2 != X3
      | X0 != X3 ),
    inference(cnf_transformation,[],[f322]) ).

fof(f322,plain,
    ! [X0,X1,X2,X3] :
      ( vvar(X2) != X1
      | ( ( visFreeVar(X0,X1)
          | X2 != X3 )
        & ( X2 = X3
          | ~ visFreeVar(X0,X1) ) )
      | X0 != X3 ),
    inference(rectify,[],[f161]) ).

fof(f161,plain,
    ! [X2,X3,X1,X0] :
      ( vvar(X1) != X3
      | ( ( visFreeVar(X2,X3)
          | X0 != X1 )
        & ( X0 = X1
          | ~ visFreeVar(X2,X3) ) )
      | X0 != X2 ),
    inference(flattening,[],[f160]) ).

fof(f160,plain,
    ! [X1,X3,X2,X0] :
      ( ( ( visFreeVar(X2,X3)
          | X0 != X1 )
        & ( X0 = X1
          | ~ visFreeVar(X2,X3) ) )
      | X0 != X2
      | vvar(X1) != X3 ),
    inference(ennf_transformation,[],[f70]) ).

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

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

fof(f1063,plain,
    ( ! [X47] : ~ visFreeVar(sK17,X47)
    | ~ spl93_1 ),
    inference(superposition,[],[f706,f1010]) ).

fof(f1010,plain,
    ( ! [X0] : vgensym(vapp(veabs,X0)) = sK17
    | ~ spl93_1 ),
    inference(resolution,[],[f994,f662]) ).

fof(f662,plain,
    ! [X0,X1] : ~ visFreeVar(vgensym(vapp(X0,X1)),X0),
    inference(resolution,[],[f566,f605]) ).

fof(f605,plain,
    ! [X0] : ~ visFreeVar(vgensym(X0),X0),
    inference(equality_resolution,[],[f461]) ).

fof(f461,plain,
    ! [X0,X1] :
      ( vgensym(X0) != X1
      | ~ visFreeVar(X1,X0) ),
    inference(cnf_transformation,[],[f319]) ).

fof(f319,plain,
    ! [X0,X1] :
      ( vgensym(X0) != X1
      | ~ visFreeVar(X1,X0) ),
    inference(rectify,[],[f157]) ).

fof(f157,plain,
    ! [X1,X0] :
      ( vgensym(X1) != X0
      | ~ visFreeVar(X0,X1) ),
    inference(ennf_transformation,[],[f108]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( vgensym(X1) = X0
     => ~ visFreeVar(X0,X1) ),
    inference(rectify,[],[f28]) ).

fof(f28,axiom,
    ! [X13,X10] :
      ( vgensym(X10) = X13
     => ~ visFreeVar(X13,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','gensym-is-fresh') ).

fof(f566,plain,
    ! [X2,X3,X4] :
      ( visFreeVar(X4,vapp(X3,X2))
      | ~ visFreeVar(X4,X3) ),
    inference(equality_resolution,[],[f565]) ).

fof(f565,plain,
    ! [X2,X3,X1,X4] :
      ( X1 != X4
      | ~ visFreeVar(X1,X3)
      | visFreeVar(X4,vapp(X3,X2)) ),
    inference(equality_resolution,[],[f420]) ).

fof(f420,plain,
    ! [X2,X3,X0,X1,X4] :
      ( vapp(X3,X2) != X0
      | X1 != X4
      | ~ visFreeVar(X1,X3)
      | visFreeVar(X4,X0) ),
    inference(cnf_transformation,[],[f284]) ).

fof(f284,plain,
    ! [X0,X1,X2,X3,X4] :
      ( vapp(X3,X2) != X0
      | X1 != X4
      | ( ( ( ~ visFreeVar(X1,X3)
            & ~ visFreeVar(X1,X2) )
          | visFreeVar(X4,X0) )
        & ( visFreeVar(X1,X3)
          | visFreeVar(X1,X2)
          | ~ visFreeVar(X4,X0) ) ) ),
    inference(rectify,[],[f202]) ).

fof(f202,plain,
    ! [X1,X2,X0,X3,X4] :
      ( vapp(X3,X0) != X1
      | X2 != X4
      | ( ( ( ~ visFreeVar(X2,X3)
            & ~ visFreeVar(X2,X0) )
          | visFreeVar(X4,X1) )
        & ( visFreeVar(X2,X3)
          | visFreeVar(X2,X0)
          | ~ visFreeVar(X4,X1) ) ) ),
    inference(flattening,[],[f201]) ).

fof(f201,plain,
    ! [X1,X3,X0,X2,X4] :
      ( ( ( ( ~ visFreeVar(X2,X3)
            & ~ visFreeVar(X2,X0) )
          | visFreeVar(X4,X1) )
        & ( visFreeVar(X2,X0)
          | visFreeVar(X2,X3)
          | ~ visFreeVar(X4,X1) ) )
      | vapp(X3,X0) != X1
      | X2 != X4 ),
    inference(ennf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X1,X3,X0,X2,X4] :
      ( ( vapp(X3,X0) = X1
        & X2 = X4 )
     => ( ( ( visFreeVar(X2,X0)
            | visFreeVar(X2,X3) )
         => visFreeVar(X4,X1) )
        & ( visFreeVar(X4,X1)
         => ( visFreeVar(X2,X0)
            | visFreeVar(X2,X3) ) ) ) ),
    inference(rectify,[],[f12]) ).

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

fof(f994,plain,
    ( ! [X0] :
        ( visFreeVar(X0,veabs)
        | sK17 = X0 )
    | ~ spl93_1 ),
    inference(avatar_component_clause,[],[f993]) ).

fof(f993,plain,
    ( spl93_1
  <=> ! [X0] :
        ( sK17 = X0
        | visFreeVar(X0,veabs) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl93_1])]) ).

fof(f706,plain,
    ! [X2,X3,X0,X1,X4] : ~ visFreeVar(vgensym(vapp(X0,vapp(vapp(vapp(X1,X2),X3),X4))),X2),
    inference(resolution,[],[f679,f568]) ).

fof(f568,plain,
    ! [X2,X3,X4] :
      ( visFreeVar(X4,vapp(X3,X2))
      | ~ visFreeVar(X4,X2) ),
    inference(equality_resolution,[],[f567]) ).

fof(f567,plain,
    ! [X2,X3,X1,X4] :
      ( X1 != X4
      | ~ visFreeVar(X1,X2)
      | visFreeVar(X4,vapp(X3,X2)) ),
    inference(equality_resolution,[],[f419]) ).

fof(f419,plain,
    ! [X2,X3,X0,X1,X4] :
      ( vapp(X3,X2) != X0
      | X1 != X4
      | ~ visFreeVar(X1,X2)
      | visFreeVar(X4,X0) ),
    inference(cnf_transformation,[],[f284]) ).

fof(f679,plain,
    ! [X6,X7,X4,X5] : ~ visFreeVar(vgensym(vapp(X4,vapp(vapp(X5,X6),X7))),X5),
    inference(resolution,[],[f668,f566]) ).

fof(f668,plain,
    ! [X3,X4,X5] : ~ visFreeVar(vgensym(vapp(X3,vapp(X4,X5))),X4),
    inference(resolution,[],[f665,f566]) ).

fof(f665,plain,
    ! [X0,X1] : ~ visFreeVar(vgensym(vapp(X0,X1)),X1),
    inference(resolution,[],[f568,f605]) ).

fof(f1006,plain,
    ~ spl93_2,
    inference(avatar_contradiction_clause,[],[f1002]) ).

fof(f1002,plain,
    ( $false
    | ~ spl93_2 ),
    inference(resolution,[],[f997,f506]) ).

fof(f506,plain,
    ~ vtcheck(vbind(sK17,sK13,sK14),vabs(sK17,sK16,veabs),sK18),
    inference(definition_unfolding,[],[f355,f356]) ).

fof(f356,plain,
    sK15 = sK17,
    inference(cnf_transformation,[],[f237]) ).

fof(f237,plain,
    ( sK15 = sK17
    & ~ vtcheck(vbind(sK17,sK13,sK14),vabs(sK15,sK16,veabs),sK18)
    & vnoType = vlookup(sK17,sK14)
    & vtcheck(sK14,vabs(sK15,sK16,veabs),sK18) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16,sK17,sK18])],[f235,f236]) ).

fof(f236,plain,
    ( ? [X0,X1,X2,X3,X4,X5] :
        ( X2 = X4
        & ~ vtcheck(vbind(X4,X0,X1),vabs(X2,X3,veabs),X5)
        & vnoType = vlookup(X4,X1)
        & vtcheck(X1,vabs(X2,X3,veabs),X5) )
   => ( sK15 = sK17
      & ~ vtcheck(vbind(sK17,sK13,sK14),vabs(sK15,sK16,veabs),sK18)
      & vnoType = vlookup(sK17,sK14)
      & vtcheck(sK14,vabs(sK15,sK16,veabs),sK18) ) ),
    introduced(choice_axiom,[]) ).

fof(f235,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( X2 = X4
      & ~ vtcheck(vbind(X4,X0,X1),vabs(X2,X3,veabs),X5)
      & vnoType = vlookup(X4,X1)
      & vtcheck(X1,vabs(X2,X3,veabs),X5) ),
    inference(rectify,[],[f206]) ).

fof(f206,plain,
    ? [X4,X3,X5,X1,X0,X2] :
      ( X0 = X5
      & ~ vtcheck(vbind(X0,X4,X3),vabs(X5,X1,veabs),X2)
      & vnoType = vlookup(X0,X3)
      & vtcheck(X3,vabs(X5,X1,veabs),X2) ),
    inference(flattening,[],[f205]) ).

fof(f205,plain,
    ? [X2,X4,X0,X5,X1,X3] :
      ( ~ vtcheck(vbind(X0,X4,X3),vabs(X5,X1,veabs),X2)
      & X0 = X5
      & vtcheck(X3,vabs(X5,X1,veabs),X2)
      & vnoType = vlookup(X0,X3) ),
    inference(ennf_transformation,[],[f71]) ).

fof(f71,plain,
    ~ ! [X2,X4,X0,X5,X1,X3] :
        ( ( X0 = X5
          & vtcheck(X3,vabs(X5,X1,veabs),X2)
          & vnoType = vlookup(X0,X3) )
       => vtcheck(vbind(X0,X4,X3),vabs(X5,X1,veabs),X2) ),
    inference(rectify,[],[f63]) ).

fof(f63,negated_conjecture,
    ~ ! [X8,X35,X14,X19,X9,X20] :
        ( ( X8 = X20
          & vnoType = vlookup(X8,X19)
          & vtcheck(X19,vabs(X20,X35,veabs),X14) )
       => vtcheck(vbind(X8,X9,X19),vabs(X20,X35,veabs),X14) ),
    inference(negated_conjecture,[],[f62]) ).

fof(f62,conjecture,
    ! [X8,X35,X14,X19,X9,X20] :
      ( ( X8 = X20
        & vnoType = vlookup(X8,X19)
        & vtcheck(X19,vabs(X20,X35,veabs),X14) )
     => vtcheck(vbind(X8,X9,X19),vabs(X20,X35,veabs),X14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-abs-2') ).

fof(f355,plain,
    ~ vtcheck(vbind(sK17,sK13,sK14),vabs(sK15,sK16,veabs),sK18),
    inference(cnf_transformation,[],[f237]) ).

fof(f997,plain,
    ( ! [X1] : vtcheck(vbind(sK17,X1,sK14),vabs(sK17,sK16,veabs),sK18)
    | ~ spl93_2 ),
    inference(avatar_component_clause,[],[f996]) ).

fof(f996,plain,
    ( spl93_2
  <=> ! [X1] : vtcheck(vbind(sK17,X1,sK14),vabs(sK17,sK16,veabs),sK18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl93_2])]) ).

fof(f998,plain,
    ( spl93_1
    | spl93_2 ),
    inference(avatar_split_clause,[],[f989,f996,f993]) ).

fof(f989,plain,
    ! [X0,X1] :
      ( vtcheck(vbind(sK17,X1,sK14),vabs(sK17,sK16,veabs),sK18)
      | sK17 = X0
      | visFreeVar(X0,veabs) ),
    inference(duplicate_literal_removal,[],[f974]) ).

fof(f974,plain,
    ! [X0,X1] :
      ( visFreeVar(X0,veabs)
      | vtcheck(vbind(sK17,X1,sK14),vabs(sK17,sK16,veabs),sK18)
      | sK17 = X0
      | visFreeVar(X0,veabs) ),
    inference(resolution,[],[f831,f835]) ).

fof(f835,plain,
    ! [X2,X0,X1] :
      ( ~ valphaEquivalent(vabs(X0,sK16,vsubst(sK17,vvar(X0),veabs)),X2)
      | sK17 = X0
      | vtcheck(vbind(sK17,X1,sK14),X2,sK18)
      | visFreeVar(X0,veabs) ),
    inference(resolution,[],[f828,f769]) ).

fof(f769,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ vtcheck(sK14,vabs(X0,X1,X2),X3)
      | vtcheck(vbind(sK17,X5,sK14),X4,X3)
      | sK17 = X0
      | ~ valphaEquivalent(vabs(X0,X1,X2),X4) ),
    inference(resolution,[],[f766,f350]) ).

fof(f350,plain,
    ! [X2,X3,X0,X1] :
      ( ~ vtcheck(X0,X2,X3)
      | ~ valphaEquivalent(X2,X1)
      | vtcheck(X0,X1,X3) ),
    inference(cnf_transformation,[],[f233]) ).

fof(f233,plain,
    ! [X0,X1,X2,X3] :
      ( vtcheck(X0,X1,X3)
      | ~ vtcheck(X0,X2,X3)
      | ~ valphaEquivalent(X2,X1) ),
    inference(rectify,[],[f199]) ).

fof(f199,plain,
    ! [X2,X0,X1,X3] :
      ( vtcheck(X2,X0,X3)
      | ~ vtcheck(X2,X1,X3)
      | ~ valphaEquivalent(X1,X0) ),
    inference(flattening,[],[f198]) ).

fof(f198,plain,
    ! [X0,X2,X3,X1] :
      ( vtcheck(X2,X0,X3)
      | ~ valphaEquivalent(X1,X0)
      | ~ vtcheck(X2,X1,X3) ),
    inference(ennf_transformation,[],[f100]) ).

fof(f100,plain,
    ! [X0,X2,X3,X1] :
      ( ( valphaEquivalent(X1,X0)
        & vtcheck(X2,X1,X3) )
     => vtcheck(X2,X0,X3) ),
    inference(rectify,[],[f59]) ).

fof(f59,axiom,
    ! [X11,X10,X19,X14] :
      ( ( valphaEquivalent(X10,X11)
        & vtcheck(X19,X10,X14) )
     => vtcheck(X19,X11,X14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','alpha-equiv-typing') ).

fof(f766,plain,
    ! [X2,X3,X0,X1,X4] :
      ( vtcheck(vbind(sK17,X0,sK14),vabs(X1,X2,X3),X4)
      | sK17 = X1
      | ~ vtcheck(sK14,vabs(X1,X2,X3),X4) ),
    inference(trivial_inequality_removal,[],[f762]) ).

fof(f762,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ vtcheck(sK14,vabs(X1,X2,X3),X4)
      | sK17 = X1
      | vtcheck(vbind(sK17,X0,sK14),vabs(X1,X2,X3),X4)
      | vnoType != vnoType ),
    inference(superposition,[],[f423,f354]) ).

fof(f354,plain,
    vnoType = vlookup(sK17,sK14),
    inference(cnf_transformation,[],[f237]) ).

fof(f423,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( vnoType != vlookup(X5,X3)
      | vtcheck(vbind(X5,X6,X3),vabs(X0,X1,X2),X4)
      | ~ vtcheck(X3,vabs(X0,X1,X2),X4)
      | X0 = X5 ),
    inference(cnf_transformation,[],[f286]) ).

fof(f286,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( vtcheck(vbind(X5,X6,X3),vabs(X0,X1,X2),X4)
      | ~ vtcheck(X3,vabs(X0,X1,X2),X4)
      | X0 = X5
      | vnoType != vlookup(X5,X3) ),
    inference(rectify,[],[f141]) ).

fof(f141,plain,
    ! [X2,X6,X4,X5,X0,X1,X3] :
      ( vtcheck(vbind(X1,X3,X5),vabs(X2,X6,X4),X0)
      | ~ vtcheck(X5,vabs(X2,X6,X4),X0)
      | X1 = X2
      | vnoType != vlookup(X1,X5) ),
    inference(flattening,[],[f140]) ).

fof(f140,plain,
    ! [X5,X2,X6,X0,X3,X4,X1] :
      ( vtcheck(vbind(X1,X3,X5),vabs(X2,X6,X4),X0)
      | ~ vtcheck(X5,vabs(X2,X6,X4),X0)
      | vnoType != vlookup(X1,X5)
      | X1 = X2 ),
    inference(ennf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X5,X2,X6,X0,X3,X4,X1] :
      ( ( vtcheck(X5,vabs(X2,X6,X4),X0)
        & vnoType = vlookup(X1,X5)
        & X1 != X2 )
     => vtcheck(vbind(X1,X3,X5),vabs(X2,X6,X4),X0) ),
    inference(rectify,[],[f61]) ).

fof(f61,axiom,
    ! [X14,X8,X20,X9,X11,X19,X35] :
      ( ( vnoType = vlookup(X8,X19)
        & vtcheck(X19,vabs(X20,X35,X11),X14)
        & X8 != X20 )
     => vtcheck(vbind(X8,X9,X19),vabs(X20,X35,X11),X14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-abs-1-gen') ).

fof(f828,plain,
    ! [X0] :
      ( vtcheck(sK14,vabs(X0,sK16,vsubst(sK17,vvar(X0),veabs)),sK18)
      | visFreeVar(X0,veabs) ),
    inference(resolution,[],[f357,f654]) ).

fof(f654,plain,
    ! [X0] :
      ( ~ valphaEquivalent(vabs(sK17,sK16,veabs),X0)
      | vtcheck(sK14,X0,sK18) ),
    inference(resolution,[],[f350,f507]) ).

fof(f507,plain,
    vtcheck(sK14,vabs(sK17,sK16,veabs),sK18),
    inference(definition_unfolding,[],[f353,f356]) ).

fof(f353,plain,
    vtcheck(sK14,vabs(sK15,sK16,veabs),sK18),
    inference(cnf_transformation,[],[f237]) ).

fof(f357,plain,
    ! [X2,X3,X0,X1] :
      ( valphaEquivalent(vabs(X2,X0,X3),vabs(X1,X0,vsubst(X2,vvar(X1),X3)))
      | visFreeVar(X1,X3) ),
    inference(cnf_transformation,[],[f238]) ).

fof(f238,plain,
    ! [X0,X1,X2,X3] :
      ( valphaEquivalent(vabs(X2,X0,X3),vabs(X1,X0,vsubst(X2,vvar(X1),X3)))
      | visFreeVar(X1,X3) ),
    inference(rectify,[],[f172]) ).

fof(f172,plain,
    ! [X0,X2,X3,X1] :
      ( valphaEquivalent(vabs(X3,X0,X1),vabs(X2,X0,vsubst(X3,vvar(X2),X1)))
      | visFreeVar(X2,X1) ),
    inference(ennf_transformation,[],[f109]) ).

fof(f109,plain,
    ! [X0,X1,X3,X2] :
      ( ~ visFreeVar(X2,X1)
     => valphaEquivalent(vabs(X3,X0,X1),vabs(X2,X0,vsubst(X3,vvar(X2),X1))) ),
    inference(rectify,[],[f58]) ).

fof(f58,axiom,
    ! [X9,X10,X20,X8] :
      ( ~ visFreeVar(X20,X10)
     => valphaEquivalent(vabs(X8,X9,X10),vabs(X20,X9,vsubst(X8,vvar(X20),X10))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','alpha-equiv-subst-abs') ).

fof(f831,plain,
    ! [X11,X14,X12,X13] :
      ( valphaEquivalent(vabs(X11,X13,vsubst(X14,vvar(X11),X12)),vabs(X14,X13,X12))
      | visFreeVar(X11,X12) ),
    inference(resolution,[],[f357,f422]) ).

fof(f422,plain,
    ! [X0,X1] :
      ( ~ valphaEquivalent(X1,X0)
      | valphaEquivalent(X0,X1) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f154,plain,
    ! [X0,X1] :
      ( ~ valphaEquivalent(X1,X0)
      | valphaEquivalent(X0,X1) ),
    inference(ennf_transformation,[],[f113]) ).

fof(f113,plain,
    ! [X1,X0] :
      ( valphaEquivalent(X1,X0)
     => valphaEquivalent(X0,X1) ),
    inference(rectify,[],[f56]) ).

fof(f56,axiom,
    ! [X12,X11] :
      ( valphaEquivalent(X11,X12)
     => valphaEquivalent(X12,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','alpha-equiv-sym') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : COM140+1 : TPTP v8.1.0. Released v6.4.0.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n002.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 17:40:43 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.18/0.45  % (4900)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.46  % (4912)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.47  % (4900)Instruction limit reached!
% 0.18/0.47  % (4900)------------------------------
% 0.18/0.47  % (4900)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.47  % (4900)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.47  % (4900)Termination reason: Unknown
% 0.18/0.47  % (4900)Termination phase: Property scanning
% 0.18/0.47  
% 0.18/0.47  % (4900)Memory used [KB]: 1279
% 0.18/0.47  % (4900)Time elapsed: 0.007 s
% 0.18/0.47  % (4900)Instructions burned: 7 (million)
% 0.18/0.47  % (4900)------------------------------
% 0.18/0.47  % (4900)------------------------------
% 0.18/0.51  % (4915)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.18/0.52  % (4921)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.52  % (4892)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.52  % (4897)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52  % (4902)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52  % (4907)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.53  % (4894)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.53  % (4895)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.53  % (4898)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.53  % (4901)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.53  % (4901)Instruction limit reached!
% 0.18/0.53  % (4901)------------------------------
% 0.18/0.53  % (4901)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (4901)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (4901)Termination reason: Unknown
% 0.18/0.53  % (4901)Termination phase: Preprocessing 1
% 0.18/0.53  
% 0.18/0.53  % (4901)Memory used [KB]: 1023
% 0.18/0.53  % (4901)Time elapsed: 0.002 s
% 0.18/0.53  % (4901)Instructions burned: 2 (million)
% 0.18/0.53  % (4901)------------------------------
% 0.18/0.53  % (4901)------------------------------
% 0.18/0.53  % (4918)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.53  % (4914)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.53  % (4916)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.18/0.54  % (4913)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.54  % (4911)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.54  % (4910)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.54  % (4905)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.54  % (4908)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.18/0.54  % (4917)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.54  % (4903)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.54  % (4906)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.54  % (4893)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.54  % (4904)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.54  % (4899)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.55  % (4919)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.55  % (4922)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.18/0.55  % (4920)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.18/0.56  % (4909)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.58  % (4912)Instruction limit reached!
% 0.18/0.58  % (4912)------------------------------
% 0.18/0.58  % (4912)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.58  % (4912)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.58  % (4912)Termination reason: Unknown
% 0.18/0.58  % (4912)Termination phase: Saturation
% 0.18/0.58  
% 0.18/0.58  % (4912)Memory used [KB]: 2430
% 0.18/0.58  % (4912)Time elapsed: 0.185 s
% 0.18/0.58  % (4912)Instructions burned: 101 (million)
% 0.18/0.58  % (4912)------------------------------
% 0.18/0.58  % (4912)------------------------------
% 0.18/0.59  % (4894)Instruction limit reached!
% 0.18/0.59  % (4894)------------------------------
% 0.18/0.59  % (4894)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.59  % (4894)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.59  % (4894)Termination reason: Unknown
% 0.18/0.59  % (4894)Termination phase: Saturation
% 0.18/0.59  
% 0.18/0.59  % (4894)Memory used [KB]: 1918
% 0.18/0.59  % (4894)Time elapsed: 0.172 s
% 0.18/0.59  % (4894)Instructions burned: 38 (million)
% 0.18/0.59  % (4894)------------------------------
% 0.18/0.59  % (4894)------------------------------
% 0.18/0.59  % (4923)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 1.96/0.60  TRYING [1]
% 1.96/0.60  TRYING [2]
% 1.96/0.60  TRYING [1]
% 1.96/0.60  % (4899)Instruction limit reached!
% 1.96/0.60  % (4899)------------------------------
% 1.96/0.60  % (4899)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.60  % (4899)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.60  % (4899)Termination reason: Unknown
% 1.96/0.60  % (4899)Termination phase: Finite model building constraint generation
% 1.96/0.60  
% 1.96/0.60  % (4899)Memory used [KB]: 8571
% 1.96/0.60  % (4899)Time elapsed: 0.184 s
% 1.96/0.60  % (4899)Instructions burned: 52 (million)
% 1.96/0.60  % (4899)------------------------------
% 1.96/0.60  % (4899)------------------------------
% 1.96/0.61  TRYING [2]
% 1.96/0.61  % (4895)Instruction limit reached!
% 1.96/0.61  % (4895)------------------------------
% 1.96/0.61  % (4895)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.61  % (4895)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.61  % (4895)Termination reason: Unknown
% 1.96/0.61  % (4895)Termination phase: Saturation
% 1.96/0.61  
% 1.96/0.61  % (4895)Memory used [KB]: 6268
% 1.96/0.61  % (4895)Time elapsed: 0.211 s
% 1.96/0.61  % (4895)Instructions burned: 51 (million)
% 1.96/0.61  % (4895)------------------------------
% 1.96/0.61  % (4895)------------------------------
% 1.96/0.61  TRYING [1]
% 1.96/0.61  % (4898)Instruction limit reached!
% 1.96/0.61  % (4898)------------------------------
% 1.96/0.61  % (4898)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.61  % (4898)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.61  % (4898)Termination reason: Unknown
% 1.96/0.61  % (4898)Termination phase: Saturation
% 1.96/0.61  
% 1.96/0.61  % (4898)Memory used [KB]: 6140
% 1.96/0.61  % (4898)Time elapsed: 0.211 s
% 1.96/0.61  % (4898)Instructions burned: 49 (million)
% 1.96/0.61  % (4898)------------------------------
% 1.96/0.61  % (4898)------------------------------
% 1.96/0.61  % (4897)Instruction limit reached!
% 1.96/0.61  % (4897)------------------------------
% 1.96/0.61  % (4897)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.61  % (4897)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.61  % (4897)Termination reason: Unknown
% 1.96/0.61  % (4897)Termination phase: Saturation
% 1.96/0.61  
% 1.96/0.61  % (4897)Memory used [KB]: 6652
% 1.96/0.61  % (4897)Time elapsed: 0.215 s
% 1.96/0.61  % (4897)Instructions burned: 52 (million)
% 1.96/0.61  % (4897)------------------------------
% 1.96/0.61  % (4897)------------------------------
% 1.96/0.61  TRYING [2]
% 2.11/0.61  % (4910)Instruction limit reached!
% 2.11/0.61  % (4910)------------------------------
% 2.11/0.61  % (4910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.61  % (4910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.61  % (4910)Termination reason: Unknown
% 2.11/0.61  % (4910)Termination phase: Finite model building constraint generation
% 2.11/0.61  
% 2.11/0.61  % (4910)Memory used [KB]: 8699
% 2.11/0.61  % (4910)Time elapsed: 0.219 s
% 2.11/0.61  % (4910)Instructions burned: 59 (million)
% 2.11/0.61  % (4910)------------------------------
% 2.11/0.61  % (4910)------------------------------
% 2.22/0.63  % (4893)Instruction limit reached!
% 2.22/0.63  % (4893)------------------------------
% 2.22/0.63  % (4893)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.63  % (4893)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.63  % (4893)Termination reason: Unknown
% 2.22/0.63  % (4893)Termination phase: Saturation
% 2.22/0.63  
% 2.22/0.63  % (4893)Memory used [KB]: 6524
% 2.22/0.63  % (4893)Time elapsed: 0.234 s
% 2.22/0.63  % (4893)Instructions burned: 51 (million)
% 2.22/0.63  % (4893)------------------------------
% 2.22/0.63  % (4893)------------------------------
% 2.22/0.63  % (4902)Instruction limit reached!
% 2.22/0.63  % (4902)------------------------------
% 2.22/0.63  % (4902)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.63  % (4902)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.63  % (4902)Termination reason: Unknown
% 2.22/0.63  % (4902)Termination phase: Saturation
% 2.22/0.63  
% 2.22/0.63  % (4902)Memory used [KB]: 1791
% 2.22/0.63  % (4902)Time elapsed: 0.213 s
% 2.22/0.63  % (4902)Instructions burned: 51 (million)
% 2.22/0.63  % (4902)------------------------------
% 2.22/0.63  % (4902)------------------------------
% 2.22/0.64  % (4907)Instruction limit reached!
% 2.22/0.64  % (4907)------------------------------
% 2.22/0.64  % (4907)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.65  % (4903)Instruction limit reached!
% 2.22/0.65  % (4903)------------------------------
% 2.22/0.65  % (4903)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.65  % (4903)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.65  % (4903)Termination reason: Unknown
% 2.22/0.65  % (4903)Termination phase: Saturation
% 2.22/0.65  
% 2.22/0.65  % (4903)Memory used [KB]: 6780
% 2.22/0.65  % (4903)Time elapsed: 0.218 s
% 2.22/0.65  % (4903)Instructions burned: 50 (million)
% 2.22/0.65  % (4903)------------------------------
% 2.22/0.65  % (4903)------------------------------
% 2.22/0.66  % (4907)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.66  % (4907)Termination reason: Unknown
% 2.22/0.66  % (4907)Termination phase: Saturation
% 2.22/0.66  
% 2.22/0.66  % (4907)Memory used [KB]: 7547
% 2.22/0.66  % (4907)Time elapsed: 0.037 s
% 2.22/0.66  % (4907)Instructions burned: 68 (million)
% 2.22/0.66  % (4907)------------------------------
% 2.22/0.66  % (4907)------------------------------
% 2.22/0.66  % (4919)Instruction limit reached!
% 2.22/0.66  % (4919)------------------------------
% 2.22/0.66  % (4919)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.66  % (4919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.66  % (4919)Termination reason: Unknown
% 2.22/0.66  % (4919)Termination phase: Saturation
% 2.22/0.66  
% 2.22/0.66  % (4919)Memory used [KB]: 7419
% 2.22/0.66  % (4919)Time elapsed: 0.041 s
% 2.22/0.66  % (4919)Instructions burned: 68 (million)
% 2.22/0.66  % (4919)------------------------------
% 2.22/0.66  % (4919)------------------------------
% 2.22/0.68  % (4913)First to succeed.
% 2.22/0.68  % (4913)Refutation found. Thanks to Tanya!
% 2.22/0.68  % SZS status Theorem for theBenchmark
% 2.22/0.68  % SZS output start Proof for theBenchmark
% See solution above
% 2.22/0.68  % (4913)------------------------------
% 2.22/0.68  % (4913)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.22/0.68  % (4913)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.22/0.68  % (4913)Termination reason: Refutation
% 2.22/0.68  
% 2.22/0.68  % (4913)Memory used [KB]: 7036
% 2.22/0.68  % (4913)Time elapsed: 0.275 s
% 2.22/0.68  % (4913)Instructions burned: 86 (million)
% 2.22/0.68  % (4913)------------------------------
% 2.22/0.68  % (4913)------------------------------
% 2.22/0.68  % (4891)Success in time 0.335 s
%------------------------------------------------------------------------------