TSTP Solution File: SET714+4 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET714+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 : n013.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 18:25:25 EDT 2022

% Result   : Theorem 1.62s 0.58s
% Output   : Refutation 1.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   59 (   9 unt;   0 def)
%            Number of atoms       :  260 (   7 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :  304 ( 103   ~;  93   |;  71   &)
%                                         (  12 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   8 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-5 aty)
%            Number of variables   :  236 ( 208   !;  28   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f245,plain,
    $false,
    inference(subsumption_resolution,[],[f236,f196]) ).

fof(f196,plain,
    ~ identity(compose_function(inverse_function(sK11,sK10,sK12),sK11,sK10,sK12,sK10),sK10),
    inference(cnf_transformation,[],[f138]) ).

fof(f138,plain,
    ( ~ identity(compose_function(inverse_function(sK11,sK10,sK12),sK11,sK10,sK12,sK10),sK10)
    & maps(sK11,sK10,sK12)
    & one_to_one(sK11,sK10,sK12) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f136,f137]) ).

fof(f137,plain,
    ( ? [X0,X1,X2] :
        ( ~ identity(compose_function(inverse_function(X1,X0,X2),X1,X0,X2,X0),X0)
        & maps(X1,X0,X2)
        & one_to_one(X1,X0,X2) )
   => ( ~ identity(compose_function(inverse_function(sK11,sK10,sK12),sK11,sK10,sK12,sK10),sK10)
      & maps(sK11,sK10,sK12)
      & one_to_one(sK11,sK10,sK12) ) ),
    introduced(choice_axiom,[]) ).

fof(f136,plain,
    ? [X0,X1,X2] :
      ( ~ identity(compose_function(inverse_function(X1,X0,X2),X1,X0,X2,X0),X0)
      & maps(X1,X0,X2)
      & one_to_one(X1,X0,X2) ),
    inference(rectify,[],[f78]) ).

fof(f78,plain,
    ? [X2,X1,X0] :
      ( ~ identity(compose_function(inverse_function(X1,X2,X0),X1,X2,X0,X2),X2)
      & maps(X1,X2,X0)
      & one_to_one(X1,X2,X0) ),
    inference(flattening,[],[f77]) ).

fof(f77,plain,
    ? [X0,X1,X2] :
      ( ~ identity(compose_function(inverse_function(X1,X2,X0),X1,X2,X0,X2),X2)
      & one_to_one(X1,X2,X0)
      & maps(X1,X2,X0) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f57,plain,
    ~ ! [X0,X1,X2] :
        ( ( one_to_one(X1,X2,X0)
          & maps(X1,X2,X0) )
       => identity(compose_function(inverse_function(X1,X2,X0),X1,X2,X0,X2),X2) ),
    inference(rectify,[],[f30]) ).

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

fof(f29,conjecture,
    ! [X1,X5,X0] :
      ( ( one_to_one(X5,X0,X1)
        & maps(X5,X0,X1) )
     => identity(compose_function(inverse_function(X5,X0,X1),X5,X0,X1,X0),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thII05) ).

fof(f236,plain,
    identity(compose_function(inverse_function(sK11,sK10,sK12),sK11,sK10,sK12,sK10),sK10),
    inference(resolution,[],[f231,f197]) ).

fof(f197,plain,
    ! [X0,X1] :
      ( ~ apply(X0,sK13(X0,X1),sK13(X0,X1))
      | identity(X0,X1) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f140,plain,
    ! [X0,X1] :
      ( ( member(sK13(X0,X1),X1)
        & ~ apply(X0,sK13(X0,X1),sK13(X0,X1)) )
      | identity(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f73,f139]) ).

fof(f139,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( member(X2,X1)
          & ~ apply(X0,X2,X2) )
     => ( member(sK13(X0,X1),X1)
        & ~ apply(X0,sK13(X0,X1),sK13(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( member(X2,X1)
          & ~ apply(X0,X2,X2) )
      | identity(X0,X1) ),
    inference(ennf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( member(X2,X1)
         => apply(X0,X2,X2) )
     => identity(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f32]) ).

fof(f32,plain,
    ! [X1,X0] :
      ( identity(X0,X1)
    <=> ! [X2] :
          ( member(X2,X1)
         => apply(X0,X2,X2) ) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X5,X0] :
      ( ! [X2] :
          ( member(X2,X0)
         => apply(X5,X2,X2) )
    <=> identity(X5,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).

fof(f231,plain,
    apply(compose_function(inverse_function(sK11,sK10,sK12),sK11,sK10,sK12,sK10),sK13(compose_function(inverse_function(sK11,sK10,sK12),sK11,sK10,sK12,sK10),sK10),sK13(compose_function(inverse_function(sK11,sK10,sK12),sK11,sK10,sK12,sK10),sK10)),
    inference(resolution,[],[f226,f204]) ).

fof(f204,plain,
    member(sK13(compose_function(inverse_function(sK11,sK10,sK12),sK11,sK10,sK12,sK10),sK10),sK10),
    inference(resolution,[],[f198,f196]) ).

fof(f198,plain,
    ! [X0,X1] :
      ( identity(X0,X1)
      | member(sK13(X0,X1),X1) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f226,plain,
    ! [X0] :
      ( ~ member(sK13(compose_function(inverse_function(sK11,sK10,sK12),sK11,sK10,sK12,sK10),sK10),X0)
      | apply(compose_function(inverse_function(sK11,sK10,sK12),sK11,sK10,sK12,X0),sK13(compose_function(inverse_function(sK11,sK10,sK12),sK11,sK10,sK12,sK10),sK10),sK13(compose_function(inverse_function(sK11,sK10,sK12),sK11,sK10,sK12,sK10),sK10)) ),
    inference(resolution,[],[f225,f212]) ).

fof(f212,plain,
    apply(inverse_function(sK11,sK10,sK12),sK4(sK11,sK12,sK13(compose_function(inverse_function(sK11,sK10,sK12),sK11,sK10,sK12,sK10),sK10)),sK13(compose_function(inverse_function(sK11,sK10,sK12),sK11,sK10,sK12,sK10),sK10)),
    inference(resolution,[],[f211,f206]) ).

fof(f206,plain,
    member(sK4(sK11,sK12,sK13(compose_function(inverse_function(sK11,sK10,sK12),sK11,sK10,sK12,sK10),sK10)),sK12),
    inference(resolution,[],[f205,f195]) ).

fof(f195,plain,
    maps(sK11,sK10,sK12),
    inference(cnf_transformation,[],[f138]) ).

fof(f205,plain,
    ! [X0,X1] :
      ( ~ maps(X0,sK10,X1)
      | member(sK4(X0,X1,sK13(compose_function(inverse_function(sK11,sK10,sK12),sK11,sK10,sK12,sK10),sK10)),X1) ),
    inference(resolution,[],[f165,f204]) ).

fof(f165,plain,
    ! [X2,X3,X0,X1] :
      ( ~ member(X3,X0)
      | ~ maps(X1,X0,X2)
      | member(sK4(X1,X2,X3),X2) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3] :
            ( ~ member(X3,X0)
            | ( apply(X1,X3,sK4(X1,X2,X3))
              & member(sK4(X1,X2,X3),X2) ) )
        & ! [X5,X6,X7] :
            ( ~ member(X7,X0)
            | ~ member(X6,X2)
            | ~ apply(X1,X7,X5)
            | ~ member(X5,X2)
            | X5 = X6
            | ~ apply(X1,X7,X6) ) )
      | ~ maps(X1,X0,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f104,f105]) ).

fof(f105,plain,
    ! [X1,X2,X3] :
      ( ? [X4] :
          ( apply(X1,X3,X4)
          & member(X4,X2) )
     => ( apply(X1,X3,sK4(X1,X2,X3))
        & member(sK4(X1,X2,X3),X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f104,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3] :
            ( ~ member(X3,X0)
            | ? [X4] :
                ( apply(X1,X3,X4)
                & member(X4,X2) ) )
        & ! [X5,X6,X7] :
            ( ~ member(X7,X0)
            | ~ member(X6,X2)
            | ~ apply(X1,X7,X5)
            | ~ member(X5,X2)
            | X5 = X6
            | ~ apply(X1,X7,X6) ) )
      | ~ maps(X1,X0,X2) ),
    inference(rectify,[],[f69]) ).

fof(f69,plain,
    ! [X1,X0,X2] :
      ( ( ! [X6] :
            ( ~ member(X6,X1)
            | ? [X7] :
                ( apply(X0,X6,X7)
                & member(X7,X2) ) )
        & ! [X4,X5,X3] :
            ( ~ member(X3,X1)
            | ~ member(X5,X2)
            | ~ apply(X0,X3,X4)
            | ~ member(X4,X2)
            | X4 = X5
            | ~ apply(X0,X3,X5) ) )
      | ~ maps(X0,X1,X2) ),
    inference(flattening,[],[f68]) ).

fof(f68,plain,
    ! [X1,X0,X2] :
      ( ( ! [X5,X3,X4] :
            ( X4 = X5
            | ~ apply(X0,X3,X5)
            | ~ apply(X0,X3,X4)
            | ~ member(X3,X1)
            | ~ member(X4,X2)
            | ~ member(X5,X2) )
        & ! [X6] :
            ( ~ member(X6,X1)
            | ? [X7] :
                ( apply(X0,X6,X7)
                & member(X7,X2) ) ) )
      | ~ maps(X0,X1,X2) ),
    inference(ennf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X1,X0,X2] :
      ( maps(X0,X1,X2)
     => ( ! [X5,X3,X4] :
            ( ( member(X3,X1)
              & member(X4,X2)
              & member(X5,X2) )
           => ( ( apply(X0,X3,X5)
                & apply(X0,X3,X4) )
             => X4 = X5 ) )
        & ! [X6] :
            ( member(X6,X1)
           => ? [X7] :
                ( apply(X0,X6,X7)
                & member(X7,X2) ) ) ) ),
    inference(unused_predicate_definition_removal,[],[f47]) ).

fof(f47,plain,
    ! [X1,X0,X2] :
      ( ( ! [X5,X3,X4] :
            ( ( member(X3,X1)
              & member(X4,X2)
              & member(X5,X2) )
           => ( ( apply(X0,X3,X5)
                & apply(X0,X3,X4) )
             => X4 = X5 ) )
        & ! [X6] :
            ( member(X6,X1)
           => ? [X7] :
                ( apply(X0,X6,X7)
                & member(X7,X2) ) ) )
    <=> maps(X0,X1,X2) ),
    inference(rectify,[],[f12]) ).

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

fof(f211,plain,
    ! [X0] :
      ( ~ member(sK4(sK11,sK12,sK13(compose_function(inverse_function(sK11,sK10,sK12),sK11,sK10,sK12,sK10),sK10)),X0)
      | apply(inverse_function(sK11,sK10,X0),sK4(sK11,sK12,sK13(compose_function(inverse_function(sK11,sK10,sK12),sK11,sK10,sK12,sK10),sK10)),sK13(compose_function(inverse_function(sK11,sK10,sK12),sK11,sK10,sK12,sK10),sK10)) ),
    inference(resolution,[],[f210,f204]) ).

fof(f210,plain,
    ! [X0,X1] :
      ( ~ member(sK13(compose_function(inverse_function(sK11,sK10,sK12),sK11,sK10,sK12,sK10),sK10),X1)
      | ~ member(sK4(sK11,sK12,sK13(compose_function(inverse_function(sK11,sK10,sK12),sK11,sK10,sK12,sK10),sK10)),X0)
      | apply(inverse_function(sK11,X1,X0),sK4(sK11,sK12,sK13(compose_function(inverse_function(sK11,sK10,sK12),sK11,sK10,sK12,sK10),sK10)),sK13(compose_function(inverse_function(sK11,sK10,sK12),sK11,sK10,sK12,sK10),sK10)) ),
    inference(resolution,[],[f209,f148]) ).

fof(f148,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ apply(X0,X4,X1)
      | ~ member(X1,X2)
      | apply(inverse_function(X0,X3,X2),X1,X4)
      | ~ member(X4,X3) ),
    inference(cnf_transformation,[],[f88]) ).

fof(f88,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ member(X1,X2)
      | ( ( apply(X0,X4,X1)
          | ~ apply(inverse_function(X0,X3,X2),X1,X4) )
        & ( apply(inverse_function(X0,X3,X2),X1,X4)
          | ~ apply(X0,X4,X1) ) )
      | ~ member(X4,X3) ),
    inference(rectify,[],[f87]) ).

fof(f87,plain,
    ! [X3,X2,X0,X1,X4] :
      ( ~ member(X2,X0)
      | ( ( apply(X3,X4,X2)
          | ~ apply(inverse_function(X3,X1,X0),X2,X4) )
        & ( apply(inverse_function(X3,X1,X0),X2,X4)
          | ~ apply(X3,X4,X2) ) )
      | ~ member(X4,X1) ),
    inference(nnf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X3,X2,X0,X1,X4] :
      ( ~ member(X2,X0)
      | ( apply(X3,X4,X2)
      <=> apply(inverse_function(X3,X1,X0),X2,X4) )
      | ~ member(X4,X1) ),
    inference(flattening,[],[f66]) ).

fof(f66,plain,
    ! [X3,X4,X0,X1,X2] :
      ( ( apply(X3,X4,X2)
      <=> apply(inverse_function(X3,X1,X0),X2,X4) )
      | ~ member(X2,X0)
      | ~ member(X4,X1) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X3,X4,X0,X1,X2] :
      ( ( member(X2,X0)
        & member(X4,X1) )
     => ( apply(X3,X4,X2)
      <=> apply(inverse_function(X3,X1,X0),X2,X4) ) ),
    inference(rectify,[],[f21]) ).

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

fof(f209,plain,
    apply(sK11,sK13(compose_function(inverse_function(sK11,sK10,sK12),sK11,sK10,sK12,sK10),sK10),sK4(sK11,sK12,sK13(compose_function(inverse_function(sK11,sK10,sK12),sK11,sK10,sK12,sK10),sK10))),
    inference(resolution,[],[f208,f204]) ).

fof(f208,plain,
    ! [X0] :
      ( ~ member(X0,sK10)
      | apply(sK11,X0,sK4(sK11,sK12,X0)) ),
    inference(resolution,[],[f166,f195]) ).

fof(f166,plain,
    ! [X2,X3,X0,X1] :
      ( ~ maps(X1,X0,X2)
      | ~ member(X3,X0)
      | apply(X1,X3,sK4(X1,X2,X3)) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f225,plain,
    ! [X2,X0,X1] :
      ( ~ apply(X0,sK4(sK11,sK12,sK13(compose_function(inverse_function(sK11,sK10,sK12),sK11,sK10,sK12,sK10),sK10)),X1)
      | ~ member(X1,X2)
      | apply(compose_function(X0,sK11,sK10,sK12,X2),sK13(compose_function(inverse_function(sK11,sK10,sK12),sK11,sK10,sK12,sK10),sK10),X1) ),
    inference(resolution,[],[f221,f206]) ).

fof(f221,plain,
    ! [X2,X3,X0,X1] :
      ( ~ member(sK4(sK11,sK12,sK13(compose_function(inverse_function(sK11,sK10,sK12),sK11,sK10,sK12,sK10),sK10)),X0)
      | ~ apply(X1,sK4(sK11,sK12,sK13(compose_function(inverse_function(sK11,sK10,sK12),sK11,sK10,sK12,sK10),sK10)),X2)
      | apply(compose_function(X1,sK11,sK10,X0,X3),sK13(compose_function(inverse_function(sK11,sK10,sK12),sK11,sK10,sK12,sK10),sK10),X2)
      | ~ member(X2,X3) ),
    inference(resolution,[],[f218,f209]) ).

fof(f218,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ apply(X3,sK13(compose_function(inverse_function(sK11,sK10,sK12),sK11,sK10,sK12,sK10),sK10),X5)
      | ~ member(X5,X4)
      | ~ apply(X2,X5,X0)
      | apply(compose_function(X2,X3,sK10,X4,X1),sK13(compose_function(inverse_function(sK11,sK10,sK12),sK11,sK10,sK12,sK10),sK10),X0)
      | ~ member(X0,X1) ),
    inference(resolution,[],[f150,f204]) ).

fof(f150,plain,
    ! [X2,X3,X0,X1,X8,X6,X4,X5] :
      ( ~ member(X4,X0)
      | ~ member(X1,X5)
      | apply(compose_function(X2,X3,X0,X6,X5),X4,X1)
      | ~ apply(X2,X8,X1)
      | ~ member(X8,X6)
      | ~ apply(X3,X4,X8) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ member(X4,X0)
      | ( ( ( apply(X3,X4,sK2(X1,X2,X3,X4,X6))
            & apply(X2,sK2(X1,X2,X3,X4,X6),X1)
            & member(sK2(X1,X2,X3,X4,X6),X6) )
          | ~ apply(compose_function(X2,X3,X0,X6,X5),X4,X1) )
        & ( apply(compose_function(X2,X3,X0,X6,X5),X4,X1)
          | ! [X8] :
              ( ~ apply(X3,X4,X8)
              | ~ apply(X2,X8,X1)
              | ~ member(X8,X6) ) ) )
      | ~ member(X1,X5) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f90,f91]) ).

fof(f91,plain,
    ! [X1,X2,X3,X4,X6] :
      ( ? [X7] :
          ( apply(X3,X4,X7)
          & apply(X2,X7,X1)
          & member(X7,X6) )
     => ( apply(X3,X4,sK2(X1,X2,X3,X4,X6))
        & apply(X2,sK2(X1,X2,X3,X4,X6),X1)
        & member(sK2(X1,X2,X3,X4,X6),X6) ) ),
    introduced(choice_axiom,[]) ).

fof(f90,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ member(X4,X0)
      | ( ( ? [X7] :
              ( apply(X3,X4,X7)
              & apply(X2,X7,X1)
              & member(X7,X6) )
          | ~ apply(compose_function(X2,X3,X0,X6,X5),X4,X1) )
        & ( apply(compose_function(X2,X3,X0,X6,X5),X4,X1)
          | ! [X8] :
              ( ~ apply(X3,X4,X8)
              | ~ apply(X2,X8,X1)
              | ~ member(X8,X6) ) ) )
      | ~ member(X1,X5) ),
    inference(rectify,[],[f89]) ).

fof(f89,plain,
    ! [X0,X2,X1,X3,X4,X5,X6] :
      ( ~ member(X4,X0)
      | ( ( ? [X7] :
              ( apply(X3,X4,X7)
              & apply(X1,X7,X2)
              & member(X7,X6) )
          | ~ apply(compose_function(X1,X3,X0,X6,X5),X4,X2) )
        & ( apply(compose_function(X1,X3,X0,X6,X5),X4,X2)
          | ! [X7] :
              ( ~ apply(X3,X4,X7)
              | ~ apply(X1,X7,X2)
              | ~ member(X7,X6) ) ) )
      | ~ member(X2,X5) ),
    inference(nnf_transformation,[],[f76]) ).

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

fof(f75,plain,
    ! [X3,X4,X1,X5,X0,X6,X2] :
      ( ( ? [X7] :
            ( apply(X3,X4,X7)
            & apply(X1,X7,X2)
            & member(X7,X6) )
      <=> apply(compose_function(X1,X3,X0,X6,X5),X4,X2) )
      | ~ member(X2,X5)
      | ~ member(X4,X0) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X3,X4,X1,X5,X0,X6,X2] :
      ( ( member(X2,X5)
        & member(X4,X0) )
     => ( ? [X7] :
            ( apply(X3,X4,X7)
            & apply(X1,X7,X2)
            & member(X7,X6) )
      <=> apply(compose_function(X1,X3,X0,X6,X5),X4,X2) ) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X9,X11,X5,X2,X10,X1] :
      ( ( member(X11,X10)
        & member(X2,X0) )
     => ( apply(compose_function(X9,X5,X0,X1,X10),X2,X11)
      <=> ? [X4] :
            ( apply(X5,X2,X4)
            & apply(X9,X4,X11)
            & member(X4,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose_function) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SET714+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.13/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n013.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   : Tue Aug 30 14:11:17 EDT 2022
% 0.20/0.35  % CPUTime    : 
% 0.20/0.51  % (3640)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52  % (3630)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)
% 0.20/0.53  % (3627)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)
% 0.20/0.53  % (3628)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)
% 0.20/0.53  % (3631)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (3648)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.53  % (3628)Refutation not found, incomplete strategy% (3628)------------------------------
% 0.20/0.53  % (3628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (3628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (3628)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (3628)Memory used [KB]: 5628
% 0.20/0.53  % (3628)Time elapsed: 0.121 s
% 0.20/0.53  % (3628)Instructions burned: 7 (million)
% 0.20/0.53  % (3628)------------------------------
% 0.20/0.53  % (3628)------------------------------
% 0.20/0.53  % (3654)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)
% 0.20/0.53  % (3656)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)
% 0.20/0.54  % (3629)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)
% 0.20/0.54  % (3650)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)
% 0.20/0.54  % (3632)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)
% 0.20/0.54  % (3645)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  % (3643)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)
% 0.20/0.54  % (3646)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)
% 0.20/0.54  % (3633)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)
% 0.20/0.54  % (3655)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54  % (3637)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54  % (3642)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)
% 0.20/0.54  % (3651)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.55  % (3649)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)
% 0.20/0.55  % (3636)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)
% 0.20/0.55  % (3635)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55  % (3647)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)
% 0.20/0.55  % (3652)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.55  % (3635)Instruction limit reached!
% 0.20/0.55  % (3635)------------------------------
% 0.20/0.55  % (3635)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (3635)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (3635)Termination reason: Unknown
% 0.20/0.55  % (3635)Termination phase: Property scanning
% 0.20/0.55  
% 0.20/0.55  % (3635)Memory used [KB]: 1023
% 0.20/0.55  % (3635)Time elapsed: 0.005 s
% 0.20/0.55  % (3635)Instructions burned: 3 (million)
% 0.20/0.55  % (3635)------------------------------
% 0.20/0.55  % (3635)------------------------------
% 0.20/0.55  % (3644)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.55  % (3641)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)
% 0.20/0.55  % (3639)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.55  % (3638)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)
% 0.20/0.56  TRYING [1]
% 0.20/0.56  % (3653)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)
% 0.20/0.56  % (3634)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.56  % (3650)First to succeed.
% 0.20/0.57  TRYING [1]
% 0.20/0.57  TRYING [1]
% 0.20/0.57  TRYING [2]
% 0.20/0.57  TRYING [2]
% 1.62/0.58  TRYING [3]
% 1.62/0.58  TRYING [2]
% 1.62/0.58  % (3634)Instruction limit reached!
% 1.62/0.58  % (3634)------------------------------
% 1.62/0.58  % (3634)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.58  % (3634)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.58  % (3634)Termination reason: Unknown
% 1.62/0.58  % (3634)Termination phase: Saturation
% 1.62/0.58  
% 1.62/0.58  % (3634)Memory used [KB]: 5628
% 1.62/0.58  % (3634)Time elapsed: 0.160 s
% 1.62/0.58  % (3634)Instructions burned: 7 (million)
% 1.62/0.58  % (3634)------------------------------
% 1.62/0.58  % (3634)------------------------------
% 1.62/0.58  % (3650)Refutation found. Thanks to Tanya!
% 1.62/0.58  % SZS status Theorem for theBenchmark
% 1.62/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.62/0.58  % (3650)------------------------------
% 1.62/0.58  % (3650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.58  % (3650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.58  % (3650)Termination reason: Refutation
% 1.62/0.58  
% 1.62/0.58  % (3650)Memory used [KB]: 5628
% 1.62/0.58  % (3650)Time elapsed: 0.131 s
% 1.62/0.58  % (3650)Instructions burned: 9 (million)
% 1.62/0.58  % (3650)------------------------------
% 1.62/0.58  % (3650)------------------------------
% 1.62/0.58  % (3626)Success in time 0.229 s
%------------------------------------------------------------------------------