TSTP Solution File: SET722+4 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SET722+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n014.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 : Fri May  3 03:01:21 EDT 2024

% Result   : Theorem 24.63s 4.22s
% Output   : CNFRefutation 24.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   52 (   5 unt;   0 def)
%            Number of atoms       :  222 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :  270 ( 100   ~;  92   |;  60   &)
%                                         (   7 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-5 aty)
%            Number of variables   :  226 (   0 sgn 136   !;  31   ?)

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

fof(f18,axiom,
    ! [X5,X0,X1] :
      ( surjective(X5,X0,X1)
    <=> ! [X4] :
          ( member(X4,X1)
         => ? [X3] :
              ( apply(X5,X3,X4)
              & member(X3,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',surjective) ).

fof(f29,conjecture,
    ! [X5,X9,X0,X1,X10] :
      ( ( surjective(compose_function(X9,X5,X0,X1,X10),X0,X10)
        & maps(X9,X1,X10)
        & maps(X5,X0,X1) )
     => surjective(X9,X1,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thII13) ).

fof(f30,negated_conjecture,
    ~ ! [X5,X9,X0,X1,X10] :
        ( ( surjective(compose_function(X9,X5,X0,X1,X10),X0,X10)
          & maps(X9,X1,X10)
          & maps(X5,X0,X1) )
       => surjective(X9,X1,X10) ),
    inference(negated_conjecture,[],[f29]) ).

fof(f42,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( member(X6,X4)
        & member(X5,X2) )
     => ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
      <=> ? [X7] :
            ( apply(X0,X7,X6)
            & apply(X1,X5,X7)
            & member(X7,X3) ) ) ),
    inference(rectify,[],[f14]) ).

fof(f46,plain,
    ! [X0,X1,X2] :
      ( surjective(X0,X1,X2)
    <=> ! [X3] :
          ( member(X3,X2)
         => ? [X4] :
              ( apply(X0,X4,X3)
              & member(X4,X1) ) ) ),
    inference(rectify,[],[f18]) ).

fof(f57,plain,
    ~ ! [X0,X1,X2,X3,X4] :
        ( ( surjective(compose_function(X1,X0,X2,X3,X4),X2,X4)
          & maps(X1,X3,X4)
          & maps(X0,X2,X3) )
       => surjective(X1,X3,X4) ),
    inference(rectify,[],[f30]) ).

fof(f63,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
      <=> ? [X7] :
            ( apply(X0,X7,X6)
            & apply(X1,X5,X7)
            & member(X7,X3) ) )
      | ~ member(X6,X4)
      | ~ member(X5,X2) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f64,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
      <=> ? [X7] :
            ( apply(X0,X7,X6)
            & apply(X1,X5,X7)
            & member(X7,X3) ) )
      | ~ member(X6,X4)
      | ~ member(X5,X2) ),
    inference(flattening,[],[f63]) ).

fof(f65,plain,
    ! [X0,X1,X2] :
      ( surjective(X0,X1,X2)
    <=> ! [X3] :
          ( ? [X4] :
              ( apply(X0,X4,X3)
              & member(X4,X1) )
          | ~ member(X3,X2) ) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f68,plain,
    ? [X0,X1,X2,X3,X4] :
      ( ~ surjective(X1,X3,X4)
      & surjective(compose_function(X1,X0,X2,X3,X4),X2,X4)
      & maps(X1,X3,X4)
      & maps(X0,X2,X3) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f69,plain,
    ? [X0,X1,X2,X3,X4] :
      ( ~ surjective(X1,X3,X4)
      & surjective(compose_function(X1,X0,X2,X3,X4),X2,X4)
      & maps(X1,X3,X4)
      & maps(X0,X2,X3) ),
    inference(flattening,[],[f68]) ).

fof(f94,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
          | ! [X7] :
              ( ~ apply(X0,X7,X6)
              | ~ apply(X1,X5,X7)
              | ~ member(X7,X3) ) )
        & ( ? [X7] :
              ( apply(X0,X7,X6)
              & apply(X1,X5,X7)
              & member(X7,X3) )
          | ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
      | ~ member(X6,X4)
      | ~ member(X5,X2) ),
    inference(nnf_transformation,[],[f64]) ).

fof(f95,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
          | ! [X7] :
              ( ~ apply(X0,X7,X6)
              | ~ apply(X1,X5,X7)
              | ~ member(X7,X3) ) )
        & ( ? [X8] :
              ( apply(X0,X8,X6)
              & apply(X1,X5,X8)
              & member(X8,X3) )
          | ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
      | ~ member(X6,X4)
      | ~ member(X5,X2) ),
    inference(rectify,[],[f94]) ).

fof(f96,plain,
    ! [X0,X1,X3,X5,X6] :
      ( ? [X8] :
          ( apply(X0,X8,X6)
          & apply(X1,X5,X8)
          & member(X8,X3) )
     => ( apply(X0,sK4(X0,X1,X3,X5,X6),X6)
        & apply(X1,X5,sK4(X0,X1,X3,X5,X6))
        & member(sK4(X0,X1,X3,X5,X6),X3) ) ),
    introduced(choice_axiom,[]) ).

fof(f97,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
          | ! [X7] :
              ( ~ apply(X0,X7,X6)
              | ~ apply(X1,X5,X7)
              | ~ member(X7,X3) ) )
        & ( ( apply(X0,sK4(X0,X1,X3,X5,X6),X6)
            & apply(X1,X5,sK4(X0,X1,X3,X5,X6))
            & member(sK4(X0,X1,X3,X5,X6),X3) )
          | ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
      | ~ member(X6,X4)
      | ~ member(X5,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f95,f96]) ).

fof(f98,plain,
    ! [X0,X1,X2] :
      ( ( surjective(X0,X1,X2)
        | ? [X3] :
            ( ! [X4] :
                ( ~ apply(X0,X4,X3)
                | ~ member(X4,X1) )
            & member(X3,X2) ) )
      & ( ! [X3] :
            ( ? [X4] :
                ( apply(X0,X4,X3)
                & member(X4,X1) )
            | ~ member(X3,X2) )
        | ~ surjective(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f65]) ).

fof(f99,plain,
    ! [X0,X1,X2] :
      ( ( surjective(X0,X1,X2)
        | ? [X3] :
            ( ! [X4] :
                ( ~ apply(X0,X4,X3)
                | ~ member(X4,X1) )
            & member(X3,X2) ) )
      & ( ! [X5] :
            ( ? [X6] :
                ( apply(X0,X6,X5)
                & member(X6,X1) )
            | ~ member(X5,X2) )
        | ~ surjective(X0,X1,X2) ) ),
    inference(rectify,[],[f98]) ).

fof(f100,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ! [X4] :
              ( ~ apply(X0,X4,X3)
              | ~ member(X4,X1) )
          & member(X3,X2) )
     => ( ! [X4] :
            ( ~ apply(X0,X4,sK5(X0,X1,X2))
            | ~ member(X4,X1) )
        & member(sK5(X0,X1,X2),X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f101,plain,
    ! [X0,X1,X5] :
      ( ? [X6] :
          ( apply(X0,X6,X5)
          & member(X6,X1) )
     => ( apply(X0,sK6(X0,X1,X5),X5)
        & member(sK6(X0,X1,X5),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f102,plain,
    ! [X0,X1,X2] :
      ( ( surjective(X0,X1,X2)
        | ( ! [X4] :
              ( ~ apply(X0,X4,sK5(X0,X1,X2))
              | ~ member(X4,X1) )
          & member(sK5(X0,X1,X2),X2) ) )
      & ( ! [X5] :
            ( ( apply(X0,sK6(X0,X1,X5),X5)
              & member(sK6(X0,X1,X5),X1) )
            | ~ member(X5,X2) )
        | ~ surjective(X0,X1,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f99,f101,f100]) ).

fof(f122,plain,
    ( ? [X0,X1,X2,X3,X4] :
        ( ~ surjective(X1,X3,X4)
        & surjective(compose_function(X1,X0,X2,X3,X4),X2,X4)
        & maps(X1,X3,X4)
        & maps(X0,X2,X3) )
   => ( ~ surjective(sK12,sK14,sK15)
      & surjective(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15)
      & maps(sK12,sK14,sK15)
      & maps(sK11,sK13,sK14) ) ),
    introduced(choice_axiom,[]) ).

fof(f123,plain,
    ( ~ surjective(sK12,sK14,sK15)
    & surjective(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15)
    & maps(sK12,sK14,sK15)
    & maps(sK11,sK13,sK14) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14,sK15])],[f69,f122]) ).

fof(f153,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( member(sK4(X0,X1,X3,X5,X6),X3)
      | ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
      | ~ member(X6,X4)
      | ~ member(X5,X2) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f155,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( apply(X0,sK4(X0,X1,X3,X5,X6),X6)
      | ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
      | ~ member(X6,X4)
      | ~ member(X5,X2) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f157,plain,
    ! [X2,X0,X1,X5] :
      ( member(sK6(X0,X1,X5),X1)
      | ~ member(X5,X2)
      | ~ surjective(X0,X1,X2) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f158,plain,
    ! [X2,X0,X1,X5] :
      ( apply(X0,sK6(X0,X1,X5),X5)
      | ~ member(X5,X2)
      | ~ surjective(X0,X1,X2) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f159,plain,
    ! [X2,X0,X1] :
      ( surjective(X0,X1,X2)
      | member(sK5(X0,X1,X2),X2) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f160,plain,
    ! [X2,X0,X1,X4] :
      ( surjective(X0,X1,X2)
      | ~ apply(X0,X4,sK5(X0,X1,X2))
      | ~ member(X4,X1) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f179,plain,
    surjective(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15),
    inference(cnf_transformation,[],[f123]) ).

fof(f180,plain,
    ~ surjective(sK12,sK14,sK15),
    inference(cnf_transformation,[],[f123]) ).

cnf(c_79,plain,
    ( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
    | ~ member(X5,X2)
    | ~ member(X6,X4)
    | apply(X0,sK4(X0,X1,X3,X5,X6),X6) ),
    inference(cnf_transformation,[],[f155]) ).

cnf(c_81,plain,
    ( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
    | ~ member(X5,X2)
    | ~ member(X6,X4)
    | member(sK4(X0,X1,X3,X5,X6),X3) ),
    inference(cnf_transformation,[],[f153]) ).

cnf(c_82,plain,
    ( ~ apply(X0,X1,sK5(X0,X2,X3))
    | ~ member(X1,X2)
    | surjective(X0,X2,X3) ),
    inference(cnf_transformation,[],[f160]) ).

cnf(c_83,plain,
    ( member(sK5(X0,X1,X2),X2)
    | surjective(X0,X1,X2) ),
    inference(cnf_transformation,[],[f159]) ).

cnf(c_84,plain,
    ( ~ surjective(X0,X1,X2)
    | ~ member(X3,X2)
    | apply(X0,sK6(X0,X1,X3),X3) ),
    inference(cnf_transformation,[],[f158]) ).

cnf(c_85,plain,
    ( ~ surjective(X0,X1,X2)
    | ~ member(X3,X2)
    | member(sK6(X0,X1,X3),X1) ),
    inference(cnf_transformation,[],[f157]) ).

cnf(c_102,negated_conjecture,
    ~ surjective(sK12,sK14,sK15),
    inference(cnf_transformation,[],[f180]) ).

cnf(c_103,negated_conjecture,
    surjective(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15),
    inference(cnf_transformation,[],[f179]) ).

cnf(c_987,plain,
    ( member(sK5(sK12,sK14,sK15),sK15)
    | surjective(sK12,sK14,sK15) ),
    inference(instantiation,[status(thm)],[c_83]) ).

cnf(c_4460,plain,
    ( ~ member(sK5(sK12,sK14,sK15),sK15)
    | ~ surjective(X0,X1,sK15)
    | member(sK6(X0,X1,sK5(sK12,sK14,sK15)),X1) ),
    inference(instantiation,[status(thm)],[c_85]) ).

cnf(c_4461,plain,
    ( ~ member(sK5(sK12,sK14,sK15),sK15)
    | ~ surjective(X0,X1,sK15)
    | apply(X0,sK6(X0,X1,sK5(sK12,sK14,sK15)),sK5(sK12,sK14,sK15)) ),
    inference(instantiation,[status(thm)],[c_84]) ).

cnf(c_4959,plain,
    ( ~ apply(compose_function(X0,X1,X2,X3,X4),sK6(compose_function(X0,X1,X2,X3,X4),X5,X6),X6)
    | ~ member(sK6(compose_function(X0,X1,X2,X3,X4),X5,X6),X2)
    | ~ member(X6,X4)
    | member(sK4(X0,X1,X3,sK6(compose_function(X0,X1,X2,X3,X4),X5,X6),X6),X3) ),
    inference(instantiation,[status(thm)],[c_81]) ).

cnf(c_4961,plain,
    ( ~ apply(compose_function(X0,X1,X2,X3,X4),sK6(compose_function(X0,X1,X2,X3,X4),X5,X6),X6)
    | ~ member(sK6(compose_function(X0,X1,X2,X3,X4),X5,X6),X2)
    | ~ member(X6,X4)
    | apply(X0,sK4(X0,X1,X3,sK6(compose_function(X0,X1,X2,X3,X4),X5,X6),X6),X6) ),
    inference(instantiation,[status(thm)],[c_79]) ).

cnf(c_5733,plain,
    ( ~ surjective(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15)
    | ~ member(sK5(sK12,sK14,sK15),sK15)
    | member(sK6(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK5(sK12,sK14,sK15)),sK13) ),
    inference(instantiation,[status(thm)],[c_4460]) ).

cnf(c_5737,plain,
    ( ~ surjective(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK15)
    | ~ member(sK5(sK12,sK14,sK15),sK15)
    | apply(compose_function(sK12,sK11,sK13,sK14,sK15),sK6(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK5(sK12,sK14,sK15)),sK5(sK12,sK14,sK15)) ),
    inference(instantiation,[status(thm)],[c_4461]) ).

cnf(c_7318,plain,
    ( ~ apply(compose_function(X0,X1,X2,X3,X4),sK6(compose_function(X0,X1,X2,X3,X4),X5,sK5(sK12,sK14,sK15)),sK5(sK12,sK14,sK15))
    | ~ member(sK6(compose_function(X0,X1,X2,X3,X4),X5,sK5(sK12,sK14,sK15)),X2)
    | ~ member(sK5(sK12,sK14,sK15),X4)
    | apply(X0,sK4(X0,X1,X3,sK6(compose_function(X0,X1,X2,X3,X4),X5,sK5(sK12,sK14,sK15)),sK5(sK12,sK14,sK15)),sK5(sK12,sK14,sK15)) ),
    inference(instantiation,[status(thm)],[c_4961]) ).

cnf(c_7320,plain,
    ( ~ apply(compose_function(X0,X1,X2,X3,X4),sK6(compose_function(X0,X1,X2,X3,X4),X5,sK5(sK12,sK14,sK15)),sK5(sK12,sK14,sK15))
    | ~ member(sK6(compose_function(X0,X1,X2,X3,X4),X5,sK5(sK12,sK14,sK15)),X2)
    | ~ member(sK5(sK12,sK14,sK15),X4)
    | member(sK4(X0,X1,X3,sK6(compose_function(X0,X1,X2,X3,X4),X5,sK5(sK12,sK14,sK15)),sK5(sK12,sK14,sK15)),X3) ),
    inference(instantiation,[status(thm)],[c_4959]) ).

cnf(c_9038,plain,
    ( ~ apply(compose_function(sK12,sK11,sK13,sK14,sK15),sK6(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK5(sK12,sK14,sK15)),sK5(sK12,sK14,sK15))
    | ~ member(sK6(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK5(sK12,sK14,sK15)),sK13)
    | ~ member(sK5(sK12,sK14,sK15),sK15)
    | member(sK4(sK12,sK11,sK14,sK6(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK5(sK12,sK14,sK15)),sK5(sK12,sK14,sK15)),sK14) ),
    inference(instantiation,[status(thm)],[c_7320]) ).

cnf(c_9040,plain,
    ( ~ apply(compose_function(sK12,sK11,sK13,sK14,sK15),sK6(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK5(sK12,sK14,sK15)),sK5(sK12,sK14,sK15))
    | ~ member(sK6(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK5(sK12,sK14,sK15)),sK13)
    | ~ member(sK5(sK12,sK14,sK15),sK15)
    | apply(sK12,sK4(sK12,sK11,sK14,sK6(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK5(sK12,sK14,sK15)),sK5(sK12,sK14,sK15)),sK5(sK12,sK14,sK15)) ),
    inference(instantiation,[status(thm)],[c_7318]) ).

cnf(c_10896,plain,
    ( ~ apply(sK12,sK4(sK12,sK11,sK14,sK6(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK5(sK12,sK14,sK15)),sK5(sK12,sK14,sK15)),sK5(sK12,sK14,sK15))
    | ~ member(sK4(sK12,sK11,sK14,sK6(compose_function(sK12,sK11,sK13,sK14,sK15),sK13,sK5(sK12,sK14,sK15)),sK5(sK12,sK14,sK15)),sK14)
    | surjective(sK12,sK14,sK15) ),
    inference(instantiation,[status(thm)],[c_82]) ).

cnf(c_10897,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_10896,c_9038,c_9040,c_5737,c_5733,c_987,c_103,c_102]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET722+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.06/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n014.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 : Thu May  2 20:14:32 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 24.63/4.22  % SZS status Started for theBenchmark.p
% 24.63/4.22  % SZS status Theorem for theBenchmark.p
% 24.63/4.22  
% 24.63/4.22  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 24.63/4.22  
% 24.63/4.22  ------  iProver source info
% 24.63/4.22  
% 24.63/4.22  git: date: 2024-05-02 19:28:25 +0000
% 24.63/4.22  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 24.63/4.22  git: non_committed_changes: false
% 24.63/4.22  
% 24.63/4.22  ------ Parsing...
% 24.63/4.22  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 24.63/4.22  
% 24.63/4.22  ------ Preprocessing...
% 24.63/4.22  
% 24.63/4.22  ------ Preprocessing...
% 24.63/4.22  
% 24.63/4.22  ------ Preprocessing...
% 24.63/4.22  ------ Proving...
% 24.63/4.22  ------ Problem Properties 
% 24.63/4.22  
% 24.63/4.22  
% 24.63/4.22  clauses                                 57
% 24.63/4.22  conjectures                             4
% 24.63/4.22  EPR                                     6
% 24.63/4.22  Horn                                    51
% 24.63/4.22  unary                                   8
% 24.63/4.22  binary                                  26
% 24.63/4.22  lits                                    143
% 24.63/4.22  lits eq                                 4
% 24.63/4.22  fd_pure                                 0
% 24.63/4.22  fd_pseudo                               0
% 24.63/4.22  fd_cond                                 0
% 24.63/4.22  fd_pseudo_cond                          3
% 24.63/4.22  AC symbols                              0
% 24.63/4.22  
% 24.63/4.22  ------ Input Options Time Limit: Unbounded
% 24.63/4.22  
% 24.63/4.22  
% 24.63/4.22  ------ 
% 24.63/4.22  Current options:
% 24.63/4.22  ------ 
% 24.63/4.22  
% 24.63/4.22  
% 24.63/4.22  
% 24.63/4.22  
% 24.63/4.22  ------ Proving...
% 24.63/4.22  
% 24.63/4.22  
% 24.63/4.22  % SZS status Theorem for theBenchmark.p
% 24.63/4.22  
% 24.63/4.22  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 24.63/4.22  
% 24.63/4.23  
%------------------------------------------------------------------------------