TSTP Solution File: SET720+4 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET720+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 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 : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:25:27 EDT 2022

% Result   : Theorem 0.18s 0.49s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   60 (  12 unt;   0 def)
%            Number of atoms       :  257 (  25 equ)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives :  284 (  87   ~;  81   |;  83   &)
%                                         (   8 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-4 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-4 aty)
%            Number of variables   :  205 ( 174   !;  31   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f258,plain,
    $false,
    inference(subsumption_resolution,[],[f257,f193]) ).

fof(f193,plain,
    ~ equal_maps(inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10,sK11),
    inference(cnf_transformation,[],[f129]) ).

fof(f129,plain,
    ( ~ equal_maps(inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10,sK11)
    & one_to_one(sK12,sK10,sK11)
    & maps(sK12,sK10,sK11) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f127,f128]) ).

fof(f128,plain,
    ( ? [X0,X1,X2] :
        ( ~ equal_maps(inverse_function(inverse_function(X2,X0,X1),X1,X0),X2,X0,X1)
        & one_to_one(X2,X0,X1)
        & maps(X2,X0,X1) )
   => ( ~ equal_maps(inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10,sK11)
      & one_to_one(sK12,sK10,sK11)
      & maps(sK12,sK10,sK11) ) ),
    introduced(choice_axiom,[]) ).

fof(f127,plain,
    ? [X0,X1,X2] :
      ( ~ equal_maps(inverse_function(inverse_function(X2,X0,X1),X1,X0),X2,X0,X1)
      & one_to_one(X2,X0,X1)
      & maps(X2,X0,X1) ),
    inference(rectify,[],[f66]) ).

fof(f66,plain,
    ? [X1,X2,X0] :
      ( ~ equal_maps(inverse_function(inverse_function(X0,X1,X2),X2,X1),X0,X1,X2)
      & one_to_one(X0,X1,X2)
      & maps(X0,X1,X2) ),
    inference(flattening,[],[f65]) ).

fof(f65,plain,
    ? [X1,X0,X2] :
      ( ~ equal_maps(inverse_function(inverse_function(X0,X1,X2),X2,X1),X0,X1,X2)
      & maps(X0,X1,X2)
      & one_to_one(X0,X1,X2) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,plain,
    ~ ! [X1,X0,X2] :
        ( ( maps(X0,X1,X2)
          & one_to_one(X0,X1,X2) )
       => equal_maps(inverse_function(inverse_function(X0,X1,X2),X2,X1),X0,X1,X2) ),
    inference(rectify,[],[f30]) ).

fof(f30,negated_conjecture,
    ~ ! [X5,X0,X1] :
        ( ( maps(X5,X0,X1)
          & one_to_one(X5,X0,X1) )
       => equal_maps(inverse_function(inverse_function(X5,X0,X1),X1,X0),X5,X0,X1) ),
    inference(negated_conjecture,[],[f29]) ).

fof(f29,conjecture,
    ! [X5,X0,X1] :
      ( ( maps(X5,X0,X1)
        & one_to_one(X5,X0,X1) )
     => equal_maps(inverse_function(inverse_function(X5,X0,X1),X1,X0),X5,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thII11) ).

fof(f257,plain,
    equal_maps(inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10,sK11),
    inference(trivial_inequality_removal,[],[f256]) ).

fof(f256,plain,
    ( sK4(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10) != sK4(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10)
    | equal_maps(inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10,sK11) ),
    inference(superposition,[],[f174,f247]) ).

fof(f247,plain,
    sK4(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10) = sK5(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10),
    inference(subsumption_resolution,[],[f246,f211]) ).

fof(f211,plain,
    member(sK4(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10),sK11),
    inference(resolution,[],[f176,f193]) ).

fof(f176,plain,
    ! [X2,X3,X0,X1] :
      ( equal_maps(X1,X2,X3,X0)
      | member(sK4(X0,X1,X2,X3),X0) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f112,plain,
    ! [X0,X1,X2,X3] :
      ( ( apply(X2,sK6(X0,X1,X2,X3),sK5(X0,X1,X2,X3))
        & member(sK6(X0,X1,X2,X3),X3)
        & member(sK4(X0,X1,X2,X3),X0)
        & apply(X1,sK6(X0,X1,X2,X3),sK4(X0,X1,X2,X3))
        & sK5(X0,X1,X2,X3) != sK4(X0,X1,X2,X3)
        & member(sK5(X0,X1,X2,X3),X0) )
      | equal_maps(X1,X2,X3,X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f110,f111]) ).

fof(f111,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X4,X5,X6] :
          ( apply(X2,X6,X5)
          & member(X6,X3)
          & member(X4,X0)
          & apply(X1,X6,X4)
          & X4 != X5
          & member(X5,X0) )
     => ( apply(X2,sK6(X0,X1,X2,X3),sK5(X0,X1,X2,X3))
        & member(sK6(X0,X1,X2,X3),X3)
        & member(sK4(X0,X1,X2,X3),X0)
        & apply(X1,sK6(X0,X1,X2,X3),sK4(X0,X1,X2,X3))
        & sK5(X0,X1,X2,X3) != sK4(X0,X1,X2,X3)
        & member(sK5(X0,X1,X2,X3),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f110,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X4,X5,X6] :
          ( apply(X2,X6,X5)
          & member(X6,X3)
          & member(X4,X0)
          & apply(X1,X6,X4)
          & X4 != X5
          & member(X5,X0) )
      | equal_maps(X1,X2,X3,X0) ),
    inference(rectify,[],[f71]) ).

fof(f71,plain,
    ! [X3,X1,X2,X0] :
      ( ? [X4,X6,X5] :
          ( apply(X2,X5,X6)
          & member(X5,X0)
          & member(X4,X3)
          & apply(X1,X5,X4)
          & X4 != X6
          & member(X6,X3) )
      | equal_maps(X1,X2,X0,X3) ),
    inference(flattening,[],[f70]) ).

fof(f70,plain,
    ! [X2,X1,X3,X0] :
      ( equal_maps(X1,X2,X0,X3)
      | ? [X6,X4,X5] :
          ( X4 != X6
          & apply(X2,X5,X6)
          & apply(X1,X5,X4)
          & member(X5,X0)
          & member(X6,X3)
          & member(X4,X3) ) ),
    inference(ennf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X2,X1,X3,X0] :
      ( ! [X6,X4,X5] :
          ( ( member(X5,X0)
            & member(X6,X3)
            & member(X4,X3) )
         => ( ( apply(X2,X5,X6)
              & apply(X1,X5,X4) )
           => X4 = X6 ) )
     => equal_maps(X1,X2,X0,X3) ),
    inference(unused_predicate_definition_removal,[],[f52]) ).

fof(f52,plain,
    ! [X2,X1,X3,X0] :
      ( ! [X6,X4,X5] :
          ( ( member(X5,X0)
            & member(X6,X3)
            & member(X4,X3) )
         => ( ( apply(X2,X5,X6)
              & apply(X1,X5,X4) )
           => X4 = X6 ) )
    <=> equal_maps(X1,X2,X0,X3) ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X0,X5,X9,X1] :
      ( ! [X6,X2,X7] :
          ( ( member(X7,X1)
            & member(X2,X0)
            & member(X6,X1) )
         => ( ( apply(X9,X2,X7)
              & apply(X5,X2,X6) )
           => X6 = X7 ) )
    <=> equal_maps(X5,X9,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_maps) ).

fof(f246,plain,
    ( sK4(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10) = sK5(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10)
    | ~ member(sK4(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10),sK11) ),
    inference(resolution,[],[f234,f229]) ).

fof(f229,plain,
    apply(sK12,sK6(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10),sK4(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10)),
    inference(subsumption_resolution,[],[f228,f211]) ).

fof(f228,plain,
    ( apply(sK12,sK6(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10),sK4(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10))
    | ~ member(sK4(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10),sK11) ),
    inference(subsumption_resolution,[],[f226,f212]) ).

fof(f212,plain,
    member(sK6(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10),sK10),
    inference(resolution,[],[f177,f193]) ).

fof(f177,plain,
    ! [X2,X3,X0,X1] :
      ( equal_maps(X1,X2,X3,X0)
      | member(sK6(X0,X1,X2,X3),X3) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f226,plain,
    ( apply(sK12,sK6(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10),sK4(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10))
    | ~ member(sK6(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10),sK10)
    | ~ member(sK4(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10),sK11) ),
    inference(resolution,[],[f225,f167]) ).

fof(f167,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ apply(inverse_function(X2,X3,X4),X0,X1)
      | apply(X2,X1,X0)
      | ~ member(X1,X3)
      | ~ member(X0,X4) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ member(X0,X4)
      | ( ( apply(inverse_function(X2,X3,X4),X0,X1)
          | ~ apply(X2,X1,X0) )
        & ( apply(X2,X1,X0)
          | ~ apply(inverse_function(X2,X3,X4),X0,X1) ) )
      | ~ member(X1,X3) ),
    inference(rectify,[],[f103]) ).

fof(f103,plain,
    ! [X3,X0,X1,X4,X2] :
      ( ~ member(X3,X2)
      | ( ( apply(inverse_function(X1,X4,X2),X3,X0)
          | ~ apply(X1,X0,X3) )
        & ( apply(X1,X0,X3)
          | ~ apply(inverse_function(X1,X4,X2),X3,X0) ) )
      | ~ member(X0,X4) ),
    inference(nnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X3,X0,X1,X4,X2] :
      ( ~ member(X3,X2)
      | ( apply(inverse_function(X1,X4,X2),X3,X0)
      <=> apply(X1,X0,X3) )
      | ~ member(X0,X4) ),
    inference(flattening,[],[f67]) ).

fof(f67,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ( apply(inverse_function(X1,X4,X2),X3,X0)
      <=> apply(X1,X0,X3) )
      | ~ member(X0,X4)
      | ~ member(X3,X2) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ( member(X0,X4)
        & member(X3,X2) )
     => ( apply(inverse_function(X1,X4,X2),X3,X0)
      <=> apply(X1,X0,X3) ) ),
    inference(rectify,[],[f21]) ).

fof(f21,axiom,
    ! [X2,X5,X1,X4,X0] :
      ( ( member(X4,X1)
        & member(X2,X0) )
     => ( apply(X5,X2,X4)
      <=> apply(inverse_function(X5,X0,X1),X4,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_function) ).

fof(f225,plain,
    apply(inverse_function(sK12,sK10,sK11),sK4(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10),sK6(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10)),
    inference(subsumption_resolution,[],[f224,f211]) ).

fof(f224,plain,
    ( ~ member(sK4(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10),sK11)
    | apply(inverse_function(sK12,sK10,sK11),sK4(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10),sK6(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10)) ),
    inference(subsumption_resolution,[],[f222,f212]) ).

fof(f222,plain,
    ( apply(inverse_function(sK12,sK10,sK11),sK4(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10),sK6(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10))
    | ~ member(sK6(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10),sK10)
    | ~ member(sK4(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10),sK11) ),
    inference(resolution,[],[f217,f167]) ).

fof(f217,plain,
    apply(inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK6(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10),sK4(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10)),
    inference(resolution,[],[f175,f193]) ).

fof(f175,plain,
    ! [X2,X3,X0,X1] :
      ( equal_maps(X1,X2,X3,X0)
      | apply(X1,sK6(X0,X1,X2,X3),sK4(X0,X1,X2,X3)) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f234,plain,
    ! [X1] :
      ( ~ apply(sK12,sK6(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10),X1)
      | ~ member(X1,sK11)
      | sK5(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10) = X1 ),
    inference(subsumption_resolution,[],[f232,f210]) ).

fof(f210,plain,
    member(sK5(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10),sK11),
    inference(resolution,[],[f173,f193]) ).

fof(f173,plain,
    ! [X2,X3,X0,X1] :
      ( equal_maps(X1,X2,X3,X0)
      | member(sK5(X0,X1,X2,X3),X0) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f232,plain,
    ! [X1] :
      ( sK5(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10) = X1
      | ~ member(X1,sK11)
      | ~ member(sK5(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10),sK11)
      | ~ apply(sK12,sK6(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10),X1) ),
    inference(resolution,[],[f221,f218]) ).

fof(f218,plain,
    apply(sK12,sK6(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10),sK5(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10)),
    inference(resolution,[],[f178,f193]) ).

fof(f178,plain,
    ! [X2,X3,X0,X1] :
      ( equal_maps(X1,X2,X3,X0)
      | apply(X2,sK6(X0,X1,X2,X3),sK5(X0,X1,X2,X3)) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f221,plain,
    ! [X0,X1] :
      ( ~ apply(sK12,sK6(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10),X0)
      | ~ member(X1,sK11)
      | ~ apply(sK12,sK6(sK11,inverse_function(inverse_function(sK12,sK10,sK11),sK11,sK10),sK12,sK10),X1)
      | ~ member(X0,sK11)
      | X0 = X1 ),
    inference(resolution,[],[f220,f212]) ).

fof(f220,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,sK10)
      | X1 = X2
      | ~ apply(sK12,X0,X2)
      | ~ member(X1,sK11)
      | ~ member(X2,sK11)
      | ~ apply(sK12,X0,X1) ),
    inference(resolution,[],[f160,f191]) ).

fof(f191,plain,
    maps(sK12,sK10,sK11),
    inference(cnf_transformation,[],[f129]) ).

fof(f160,plain,
    ! [X2,X0,X1,X6,X7,X5] :
      ( ~ maps(X2,X0,X1)
      | ~ member(X7,X0)
      | ~ apply(X2,X7,X5)
      | X5 = X6
      | ~ apply(X2,X7,X6)
      | ~ member(X6,X1)
      | ~ member(X5,X1) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3] :
            ( ~ member(X3,X0)
            | ( apply(X2,X3,sK1(X1,X2,X3))
              & member(sK1(X1,X2,X3),X1) ) )
        & ! [X5,X6,X7] :
            ( ~ member(X7,X0)
            | ~ apply(X2,X7,X5)
            | ~ member(X5,X1)
            | X5 = X6
            | ~ apply(X2,X7,X6)
            | ~ member(X6,X1) ) )
      | ~ maps(X2,X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f95,f96]) ).

fof(f96,plain,
    ! [X1,X2,X3] :
      ( ? [X4] :
          ( apply(X2,X3,X4)
          & member(X4,X1) )
     => ( apply(X2,X3,sK1(X1,X2,X3))
        & member(sK1(X1,X2,X3),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f95,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3] :
            ( ~ member(X3,X0)
            | ? [X4] :
                ( apply(X2,X3,X4)
                & member(X4,X1) ) )
        & ! [X5,X6,X7] :
            ( ~ member(X7,X0)
            | ~ apply(X2,X7,X5)
            | ~ member(X5,X1)
            | X5 = X6
            | ~ apply(X2,X7,X6)
            | ~ member(X6,X1) ) )
      | ~ maps(X2,X0,X1) ),
    inference(rectify,[],[f76]) ).

fof(f76,plain,
    ! [X1,X0,X2] :
      ( ( ! [X3] :
            ( ~ member(X3,X1)
            | ? [X4] :
                ( apply(X2,X3,X4)
                & member(X4,X0) ) )
        & ! [X6,X7,X5] :
            ( ~ member(X5,X1)
            | ~ apply(X2,X5,X6)
            | ~ member(X6,X0)
            | X6 = X7
            | ~ apply(X2,X5,X7)
            | ~ member(X7,X0) ) )
      | ~ maps(X2,X1,X0) ),
    inference(flattening,[],[f75]) ).

fof(f75,plain,
    ! [X0,X2,X1] :
      ( ( ! [X7,X6,X5] :
            ( X6 = X7
            | ~ apply(X2,X5,X7)
            | ~ apply(X2,X5,X6)
            | ~ member(X5,X1)
            | ~ member(X7,X0)
            | ~ member(X6,X0) )
        & ! [X3] :
            ( ~ member(X3,X1)
            | ? [X4] :
                ( apply(X2,X3,X4)
                & member(X4,X0) ) ) )
      | ~ maps(X2,X1,X0) ),
    inference(ennf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0,X2,X1] :
      ( maps(X2,X1,X0)
     => ( ! [X7,X6,X5] :
            ( ( member(X5,X1)
              & member(X7,X0)
              & member(X6,X0) )
           => ( ( apply(X2,X5,X7)
                & apply(X2,X5,X6) )
             => X6 = X7 ) )
        & ! [X3] :
            ( member(X3,X1)
           => ? [X4] :
                ( apply(X2,X3,X4)
                & member(X4,X0) ) ) ) ),
    inference(unused_predicate_definition_removal,[],[f53]) ).

fof(f53,plain,
    ! [X0,X2,X1] :
      ( maps(X2,X1,X0)
    <=> ( ! [X7,X6,X5] :
            ( ( member(X5,X1)
              & member(X7,X0)
              & member(X6,X0) )
           => ( ( apply(X2,X5,X7)
                & apply(X2,X5,X6) )
             => X6 = X7 ) )
        & ! [X3] :
            ( member(X3,X1)
           => ? [X4] :
                ( apply(X2,X3,X4)
                & member(X4,X0) ) ) ) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X1,X0,X5] :
      ( maps(X5,X0,X1)
    <=> ( ! [X2] :
            ( member(X2,X0)
           => ? [X4] :
                ( apply(X5,X2,X4)
                & member(X4,X1) ) )
        & ! [X2,X6,X7] :
            ( ( member(X2,X0)
              & member(X6,X1)
              & member(X7,X1) )
           => ( ( apply(X5,X2,X7)
                & apply(X5,X2,X6) )
             => X6 = X7 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maps) ).

fof(f174,plain,
    ! [X2,X3,X0,X1] :
      ( sK5(X0,X1,X2,X3) != sK4(X0,X1,X2,X3)
      | equal_maps(X1,X2,X3,X0) ),
    inference(cnf_transformation,[],[f112]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SET720+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.03/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.32  % Computer : n021.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Aug 30 14:11:26 EDT 2022
% 0.11/0.33  % CPUTime    : 
% 0.18/0.47  % (11532)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)
% 0.18/0.47  % (11553)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)
% 0.18/0.47  % (11545)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)
% 0.18/0.48  % (11552)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)
% 0.18/0.48  % (11535)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)
% 0.18/0.48  % (11553)First to succeed.
% 0.18/0.48  % (11536)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.49  % (11544)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)
% 0.18/0.49  % (11553)Refutation found. Thanks to Tanya!
% 0.18/0.49  % SZS status Theorem for theBenchmark
% 0.18/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49  % (11553)------------------------------
% 0.18/0.49  % (11553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (11553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (11553)Termination reason: Refutation
% 0.18/0.49  
% 0.18/0.49  % (11553)Memory used [KB]: 5628
% 0.18/0.49  % (11553)Time elapsed: 0.079 s
% 0.18/0.49  % (11553)Instructions burned: 8 (million)
% 0.18/0.49  % (11553)------------------------------
% 0.18/0.49  % (11553)------------------------------
% 0.18/0.49  % (11526)Success in time 0.157 s
%------------------------------------------------------------------------------