TSTP Solution File: SEU055+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SEU055+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n018.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 : Thu Aug 31 17:03:33 EDT 2023

% Result   : Theorem 3.47s 1.14s
% Output   : CNFRefutation 3.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   78 (  29 unt;   0 def)
%            Number of atoms       :  246 (  89 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  284 ( 116   ~; 114   |;  40   &)
%                                         (   4 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   1 con; 0-2 aty)
%            Number of variables   :   93 (   0 sgn;  58   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6,axiom,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ( one_to_one(X0)
      <=> ! [X1,X2] :
            ( ( apply(X0,X1) = apply(X0,X2)
              & in(X2,relation_dom(X0))
              & in(X1,relation_dom(X0)) )
           => X1 = X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_funct_1) ).

fof(f27,axiom,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1) )
     => ( in(X0,relation_dom(X1))
       => relation_image(X1,singleton(X0)) = singleton(apply(X1,X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t117_funct_1) ).

fof(f28,conjecture,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ( ! [X1,X2] : relation_image(X0,set_difference(X1,X2)) = set_difference(relation_image(X0,X1),relation_image(X0,X2))
       => one_to_one(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t124_funct_1) ).

fof(f29,negated_conjecture,
    ~ ! [X0] :
        ( ( function(X0)
          & relation(X0) )
       => ( ! [X1,X2] : relation_image(X0,set_difference(X1,X2)) = set_difference(relation_image(X0,X1),relation_image(X0,X2))
         => one_to_one(X0) ) ),
    inference(negated_conjecture,[],[f28]) ).

fof(f31,axiom,
    ! [X0,X1] :
      ( singleton(X0) = set_difference(singleton(X0),singleton(X1))
    <=> X0 != X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_zfmisc_1) ).

fof(f50,plain,
    ! [X0] :
      ( ( one_to_one(X0)
      <=> ! [X1,X2] :
            ( X1 = X2
            | apply(X0,X1) != apply(X0,X2)
            | ~ in(X2,relation_dom(X0))
            | ~ in(X1,relation_dom(X0)) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f51,plain,
    ! [X0] :
      ( ( one_to_one(X0)
      <=> ! [X1,X2] :
            ( X1 = X2
            | apply(X0,X1) != apply(X0,X2)
            | ~ in(X2,relation_dom(X0))
            | ~ in(X1,relation_dom(X0)) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(flattening,[],[f50]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( relation_image(X1,singleton(X0)) = singleton(apply(X1,X0))
      | ~ in(X0,relation_dom(X1))
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( relation_image(X1,singleton(X0)) = singleton(apply(X1,X0))
      | ~ in(X0,relation_dom(X1))
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(flattening,[],[f58]) ).

fof(f60,plain,
    ? [X0] :
      ( ~ one_to_one(X0)
      & ! [X1,X2] : relation_image(X0,set_difference(X1,X2)) = set_difference(relation_image(X0,X1),relation_image(X0,X2))
      & function(X0)
      & relation(X0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f61,plain,
    ? [X0] :
      ( ~ one_to_one(X0)
      & ! [X1,X2] : relation_image(X0,set_difference(X1,X2)) = set_difference(relation_image(X0,X1),relation_image(X0,X2))
      & function(X0)
      & relation(X0) ),
    inference(flattening,[],[f60]) ).

fof(f75,plain,
    ! [X0] :
      ( ( ( one_to_one(X0)
          | ? [X1,X2] :
              ( X1 != X2
              & apply(X0,X1) = apply(X0,X2)
              & in(X2,relation_dom(X0))
              & in(X1,relation_dom(X0)) ) )
        & ( ! [X1,X2] :
              ( X1 = X2
              | apply(X0,X1) != apply(X0,X2)
              | ~ in(X2,relation_dom(X0))
              | ~ in(X1,relation_dom(X0)) )
          | ~ one_to_one(X0) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f51]) ).

fof(f76,plain,
    ! [X0] :
      ( ( ( one_to_one(X0)
          | ? [X1,X2] :
              ( X1 != X2
              & apply(X0,X1) = apply(X0,X2)
              & in(X2,relation_dom(X0))
              & in(X1,relation_dom(X0)) ) )
        & ( ! [X3,X4] :
              ( X3 = X4
              | apply(X0,X3) != apply(X0,X4)
              | ~ in(X4,relation_dom(X0))
              | ~ in(X3,relation_dom(X0)) )
          | ~ one_to_one(X0) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(rectify,[],[f75]) ).

fof(f77,plain,
    ! [X0] :
      ( ? [X1,X2] :
          ( X1 != X2
          & apply(X0,X1) = apply(X0,X2)
          & in(X2,relation_dom(X0))
          & in(X1,relation_dom(X0)) )
     => ( sK1(X0) != sK2(X0)
        & apply(X0,sK1(X0)) = apply(X0,sK2(X0))
        & in(sK2(X0),relation_dom(X0))
        & in(sK1(X0),relation_dom(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f78,plain,
    ! [X0] :
      ( ( ( one_to_one(X0)
          | ( sK1(X0) != sK2(X0)
            & apply(X0,sK1(X0)) = apply(X0,sK2(X0))
            & in(sK2(X0),relation_dom(X0))
            & in(sK1(X0),relation_dom(X0)) ) )
        & ( ! [X3,X4] :
              ( X3 = X4
              | apply(X0,X3) != apply(X0,X4)
              | ~ in(X4,relation_dom(X0))
              | ~ in(X3,relation_dom(X0)) )
          | ~ one_to_one(X0) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f76,f77]) ).

fof(f101,plain,
    ( ? [X0] :
        ( ~ one_to_one(X0)
        & ! [X1,X2] : relation_image(X0,set_difference(X1,X2)) = set_difference(relation_image(X0,X1),relation_image(X0,X2))
        & function(X0)
        & relation(X0) )
   => ( ~ one_to_one(sK14)
      & ! [X2,X1] : relation_image(sK14,set_difference(X1,X2)) = set_difference(relation_image(sK14,X1),relation_image(sK14,X2))
      & function(sK14)
      & relation(sK14) ) ),
    introduced(choice_axiom,[]) ).

fof(f102,plain,
    ( ~ one_to_one(sK14)
    & ! [X1,X2] : relation_image(sK14,set_difference(X1,X2)) = set_difference(relation_image(sK14,X1),relation_image(sK14,X2))
    & function(sK14)
    & relation(sK14) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f61,f101]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( ( singleton(X0) = set_difference(singleton(X0),singleton(X1))
        | X0 = X1 )
      & ( X0 != X1
        | singleton(X0) != set_difference(singleton(X0),singleton(X1)) ) ),
    inference(nnf_transformation,[],[f31]) ).

fof(f117,plain,
    ! [X0] :
      ( one_to_one(X0)
      | in(sK1(X0),relation_dom(X0))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f118,plain,
    ! [X0] :
      ( one_to_one(X0)
      | in(sK2(X0),relation_dom(X0))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f119,plain,
    ! [X0] :
      ( one_to_one(X0)
      | apply(X0,sK1(X0)) = apply(X0,sK2(X0))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f120,plain,
    ! [X0] :
      ( one_to_one(X0)
      | sK1(X0) != sK2(X0)
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( relation_image(X1,singleton(X0)) = singleton(apply(X1,X0))
      | ~ in(X0,relation_dom(X1))
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f154,plain,
    relation(sK14),
    inference(cnf_transformation,[],[f102]) ).

fof(f155,plain,
    function(sK14),
    inference(cnf_transformation,[],[f102]) ).

fof(f156,plain,
    ! [X2,X1] : relation_image(sK14,set_difference(X1,X2)) = set_difference(relation_image(sK14,X1),relation_image(sK14,X2)),
    inference(cnf_transformation,[],[f102]) ).

fof(f157,plain,
    ~ one_to_one(sK14),
    inference(cnf_transformation,[],[f102]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( X0 != X1
      | singleton(X0) != set_difference(singleton(X0),singleton(X1)) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f160,plain,
    ! [X0,X1] :
      ( singleton(X0) = set_difference(singleton(X0),singleton(X1))
      | X0 = X1 ),
    inference(cnf_transformation,[],[f103]) ).

fof(f176,plain,
    ! [X1] : singleton(X1) != set_difference(singleton(X1),singleton(X1)),
    inference(equality_resolution,[],[f159]) ).

cnf(c_57,plain,
    ( sK1(X0) != sK2(X0)
    | ~ function(X0)
    | ~ relation(X0)
    | one_to_one(X0) ),
    inference(cnf_transformation,[],[f120]) ).

cnf(c_58,plain,
    ( ~ function(X0)
    | ~ relation(X0)
    | apply(X0,sK1(X0)) = apply(X0,sK2(X0))
    | one_to_one(X0) ),
    inference(cnf_transformation,[],[f119]) ).

cnf(c_59,plain,
    ( ~ function(X0)
    | ~ relation(X0)
    | in(sK2(X0),relation_dom(X0))
    | one_to_one(X0) ),
    inference(cnf_transformation,[],[f118]) ).

cnf(c_60,plain,
    ( ~ function(X0)
    | ~ relation(X0)
    | in(sK1(X0),relation_dom(X0))
    | one_to_one(X0) ),
    inference(cnf_transformation,[],[f117]) ).

cnf(c_94,plain,
    ( ~ in(X0,relation_dom(X1))
    | ~ function(X1)
    | ~ relation(X1)
    | singleton(apply(X1,X0)) = relation_image(X1,singleton(X0)) ),
    inference(cnf_transformation,[],[f153]) ).

cnf(c_95,negated_conjecture,
    ~ one_to_one(sK14),
    inference(cnf_transformation,[],[f157]) ).

cnf(c_96,negated_conjecture,
    set_difference(relation_image(sK14,X0),relation_image(sK14,X1)) = relation_image(sK14,set_difference(X0,X1)),
    inference(cnf_transformation,[],[f156]) ).

cnf(c_97,negated_conjecture,
    function(sK14),
    inference(cnf_transformation,[],[f155]) ).

cnf(c_98,negated_conjecture,
    relation(sK14),
    inference(cnf_transformation,[],[f154]) ).

cnf(c_100,plain,
    ( set_difference(singleton(X0),singleton(X1)) = singleton(X0)
    | X0 = X1 ),
    inference(cnf_transformation,[],[f160]) ).

cnf(c_101,plain,
    set_difference(singleton(X0),singleton(X0)) != singleton(X0),
    inference(cnf_transformation,[],[f176]) ).

cnf(c_1079,plain,
    ( X0 != sK14
    | ~ function(X0)
    | ~ relation(X0)
    | in(sK1(X0),relation_dom(X0)) ),
    inference(resolution_lifted,[status(thm)],[c_60,c_95]) ).

cnf(c_1080,plain,
    ( ~ function(sK14)
    | ~ relation(sK14)
    | in(sK1(sK14),relation_dom(sK14)) ),
    inference(unflattening,[status(thm)],[c_1079]) ).

cnf(c_1086,plain,
    ( X0 != sK14
    | ~ function(X0)
    | ~ relation(X0)
    | in(sK2(X0),relation_dom(X0)) ),
    inference(resolution_lifted,[status(thm)],[c_59,c_95]) ).

cnf(c_1087,plain,
    ( ~ function(sK14)
    | ~ relation(sK14)
    | in(sK2(sK14),relation_dom(sK14)) ),
    inference(unflattening,[status(thm)],[c_1086]) ).

cnf(c_1093,plain,
    ( X0 != sK14
    | ~ function(X0)
    | ~ relation(X0)
    | apply(X0,sK1(X0)) = apply(X0,sK2(X0)) ),
    inference(resolution_lifted,[status(thm)],[c_58,c_95]) ).

cnf(c_1094,plain,
    ( ~ function(sK14)
    | ~ relation(sK14)
    | apply(sK14,sK1(sK14)) = apply(sK14,sK2(sK14)) ),
    inference(unflattening,[status(thm)],[c_1093]) ).

cnf(c_1100,plain,
    ( sK1(X0) != sK2(X0)
    | X0 != sK14
    | ~ function(X0)
    | ~ relation(X0) ),
    inference(resolution_lifted,[status(thm)],[c_57,c_95]) ).

cnf(c_1101,plain,
    ( sK1(sK14) != sK2(sK14)
    | ~ function(sK14)
    | ~ relation(sK14) ),
    inference(unflattening,[status(thm)],[c_1100]) ).

cnf(c_1241,plain,
    ( X0 != sK14
    | ~ in(X1,relation_dom(X0))
    | ~ relation(X0)
    | singleton(apply(X0,X1)) = relation_image(X0,singleton(X1)) ),
    inference(resolution_lifted,[status(thm)],[c_94,c_97]) ).

cnf(c_1242,plain,
    ( ~ in(X0,relation_dom(sK14))
    | ~ relation(sK14)
    | singleton(apply(sK14,X0)) = relation_image(sK14,singleton(X0)) ),
    inference(unflattening,[status(thm)],[c_1241]) ).

cnf(c_1244,plain,
    ( ~ in(X0,relation_dom(sK14))
    | singleton(apply(sK14,X0)) = relation_image(sK14,singleton(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_1242,c_98,c_1242]) ).

cnf(c_1401,plain,
    ( X0 != sK14
    | ~ relation(X0)
    | in(sK1(X0),relation_dom(X0))
    | one_to_one(X0) ),
    inference(resolution_lifted,[status(thm)],[c_60,c_97]) ).

cnf(c_1402,plain,
    ( ~ relation(sK14)
    | in(sK1(sK14),relation_dom(sK14))
    | one_to_one(sK14) ),
    inference(unflattening,[status(thm)],[c_1401]) ).

cnf(c_1403,plain,
    in(sK1(sK14),relation_dom(sK14)),
    inference(global_subsumption_just,[status(thm)],[c_1402,c_98,c_97,c_1080]) ).

cnf(c_1408,plain,
    ( X0 != sK14
    | ~ relation(X0)
    | in(sK2(X0),relation_dom(X0))
    | one_to_one(X0) ),
    inference(resolution_lifted,[status(thm)],[c_59,c_97]) ).

cnf(c_1409,plain,
    ( ~ relation(sK14)
    | in(sK2(sK14),relation_dom(sK14))
    | one_to_one(sK14) ),
    inference(unflattening,[status(thm)],[c_1408]) ).

cnf(c_1410,plain,
    in(sK2(sK14),relation_dom(sK14)),
    inference(global_subsumption_just,[status(thm)],[c_1409,c_98,c_97,c_1087]) ).

cnf(c_1415,plain,
    ( X0 != sK14
    | ~ relation(X0)
    | apply(X0,sK1(X0)) = apply(X0,sK2(X0))
    | one_to_one(X0) ),
    inference(resolution_lifted,[status(thm)],[c_58,c_97]) ).

cnf(c_1416,plain,
    ( ~ relation(sK14)
    | apply(sK14,sK1(sK14)) = apply(sK14,sK2(sK14))
    | one_to_one(sK14) ),
    inference(unflattening,[status(thm)],[c_1415]) ).

cnf(c_1417,plain,
    apply(sK14,sK1(sK14)) = apply(sK14,sK2(sK14)),
    inference(global_subsumption_just,[status(thm)],[c_1416,c_98,c_97,c_1094]) ).

cnf(c_3407,plain,
    singleton(apply(sK14,sK1(sK14))) = relation_image(sK14,singleton(sK1(sK14))),
    inference(superposition,[status(thm)],[c_1403,c_1244]) ).

cnf(c_3408,plain,
    singleton(apply(sK14,sK2(sK14))) = relation_image(sK14,singleton(sK2(sK14))),
    inference(superposition,[status(thm)],[c_1410,c_1244]) ).

cnf(c_3434,plain,
    singleton(apply(sK14,sK1(sK14))) = relation_image(sK14,singleton(sK2(sK14))),
    inference(light_normalisation,[status(thm)],[c_3408,c_1417]) ).

cnf(c_3435,plain,
    set_difference(singleton(apply(sK14,sK1(sK14))),relation_image(sK14,X0)) = relation_image(sK14,set_difference(singleton(sK2(sK14)),X0)),
    inference(superposition,[status(thm)],[c_3434,c_96]) ).

cnf(c_3436,plain,
    set_difference(relation_image(sK14,X0),singleton(apply(sK14,sK1(sK14)))) = relation_image(sK14,set_difference(X0,singleton(sK2(sK14)))),
    inference(superposition,[status(thm)],[c_3434,c_96]) ).

cnf(c_3440,plain,
    set_difference(relation_image(sK14,X0),singleton(apply(sK14,sK1(sK14)))) = relation_image(sK14,set_difference(X0,singleton(sK1(sK14)))),
    inference(superposition,[status(thm)],[c_3407,c_96]) ).

cnf(c_3452,plain,
    set_difference(singleton(apply(sK14,sK1(sK14))),singleton(apply(sK14,sK1(sK14)))) = relation_image(sK14,set_difference(singleton(sK1(sK14)),singleton(sK2(sK14)))),
    inference(superposition,[status(thm)],[c_3407,c_3436]) ).

cnf(c_3460,plain,
    set_difference(singleton(apply(sK14,sK1(sK14))),singleton(apply(sK14,sK1(sK14)))) = relation_image(sK14,set_difference(singleton(sK2(sK14)),singleton(sK1(sK14)))),
    inference(superposition,[status(thm)],[c_3407,c_3435]) ).

cnf(c_3469,plain,
    set_difference(singleton(apply(sK14,sK1(sK14))),singleton(apply(sK14,sK1(sK14)))) = relation_image(sK14,set_difference(singleton(sK1(sK14)),singleton(sK1(sK14)))),
    inference(superposition,[status(thm)],[c_3407,c_3440]) ).

cnf(c_3474,plain,
    relation_image(sK14,set_difference(X0,singleton(sK1(sK14)))) = relation_image(sK14,set_difference(X0,singleton(sK2(sK14)))),
    inference(superposition,[status(thm)],[c_3440,c_3436]) ).

cnf(c_3628,plain,
    relation_image(sK14,set_difference(singleton(sK1(sK14)),singleton(sK2(sK14)))) = relation_image(sK14,set_difference(singleton(sK2(sK14)),singleton(sK1(sK14)))),
    inference(light_normalisation,[status(thm)],[c_3460,c_3452]) ).

cnf(c_3629,plain,
    ( relation_image(sK14,set_difference(singleton(sK1(sK14)),singleton(sK2(sK14)))) = relation_image(sK14,singleton(sK2(sK14)))
    | sK1(sK14) = sK2(sK14) ),
    inference(superposition,[status(thm)],[c_100,c_3628]) ).

cnf(c_3716,plain,
    relation_image(sK14,set_difference(singleton(sK1(sK14)),singleton(sK1(sK14)))) != singleton(apply(sK14,sK1(sK14))),
    inference(superposition,[status(thm)],[c_3469,c_101]) ).

cnf(c_3904,plain,
    relation_image(sK14,set_difference(singleton(sK1(sK14)),singleton(sK2(sK14)))) = relation_image(sK14,singleton(sK2(sK14))),
    inference(global_subsumption_just,[status(thm)],[c_3629,c_98,c_97,c_1101,c_3629]) ).

cnf(c_3906,plain,
    relation_image(sK14,set_difference(singleton(sK1(sK14)),singleton(sK1(sK14)))) = relation_image(sK14,singleton(sK2(sK14))),
    inference(demodulation,[status(thm)],[c_3904,c_3474]) ).

cnf(c_3907,plain,
    relation_image(sK14,set_difference(singleton(sK1(sK14)),singleton(sK1(sK14)))) = singleton(apply(sK14,sK1(sK14))),
    inference(light_normalisation,[status(thm)],[c_3906,c_3434]) ).

cnf(c_4294,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_3716,c_3907]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU055+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n018.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 : Wed Aug 23 21:13:42 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.47/1.14  % SZS status Started for theBenchmark.p
% 3.47/1.14  % SZS status Theorem for theBenchmark.p
% 3.47/1.14  
% 3.47/1.14  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.47/1.14  
% 3.47/1.14  ------  iProver source info
% 3.47/1.14  
% 3.47/1.14  git: date: 2023-05-31 18:12:56 +0000
% 3.47/1.14  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.47/1.14  git: non_committed_changes: false
% 3.47/1.14  git: last_make_outside_of_git: false
% 3.47/1.14  
% 3.47/1.14  ------ Parsing...
% 3.47/1.14  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.47/1.14  
% 3.47/1.14  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e 
% 3.47/1.14  
% 3.47/1.14  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.47/1.14  
% 3.47/1.14  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.47/1.14  ------ Proving...
% 3.47/1.14  ------ Problem Properties 
% 3.47/1.14  
% 3.47/1.14  
% 3.47/1.14  clauses                                 72
% 3.47/1.14  conjectures                             3
% 3.47/1.14  EPR                                     27
% 3.47/1.14  Horn                                    62
% 3.47/1.14  unary                                   31
% 3.47/1.14  binary                                  28
% 3.47/1.14  lits                                    132
% 3.47/1.14  lits eq                                 34
% 3.47/1.14  fd_pure                                 0
% 3.47/1.14  fd_pseudo                               0
% 3.47/1.14  fd_cond                                 1
% 3.47/1.14  fd_pseudo_cond                          8
% 3.47/1.14  AC symbols                              0
% 3.47/1.14  
% 3.47/1.14  ------ Input Options Time Limit: Unbounded
% 3.47/1.14  
% 3.47/1.14  
% 3.47/1.14  ------ 
% 3.47/1.14  Current options:
% 3.47/1.14  ------ 
% 3.47/1.14  
% 3.47/1.14  
% 3.47/1.14  
% 3.47/1.14  
% 3.47/1.14  ------ Proving...
% 3.47/1.14  
% 3.47/1.14  
% 3.47/1.14  % SZS status Theorem for theBenchmark.p
% 3.47/1.14  
% 3.47/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.47/1.15  
% 3.47/1.15  
%------------------------------------------------------------------------------