TSTP Solution File: SEU225+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SEU225+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n012.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 17:04:54 EDT 2023

% Result   : Theorem 3.54s 1.13s
% Output   : CNFRefutation 3.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   67 (   9 unt;   0 def)
%            Number of atoms       :  313 (  81 equ)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives :  408 ( 162   ~; 159   |;  59   &)
%                                         (  12 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-2 aty)
%            Number of variables   :  140 (   4 sgn; 100   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,axiom,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ! [X1,X2] :
          ( ( ~ in(X1,relation_dom(X0))
           => ( apply(X0,X1) = X2
            <=> empty_set = X2 ) )
          & ( in(X1,relation_dom(X0))
           => ( apply(X0,X1) = X2
            <=> in(ordered_pair(X1,X2),X0) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_funct_1) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( relation(X0)
     => relation(relation_dom_restriction(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_relat_1) ).

fof(f20,axiom,
    ! [X0,X1] :
      ( ( relation_empty_yielding(X0)
        & relation(X0) )
     => ( relation_empty_yielding(relation_dom_restriction(X0,X1))
        & relation(relation_dom_restriction(X0,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc13_relat_1) ).

fof(f26,axiom,
    ! [X0,X1] :
      ( ( function(X0)
        & relation(X0) )
     => ( function(relation_dom_restriction(X0,X1))
        & relation(relation_dom_restriction(X0,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_funct_1) ).

fof(f31,axiom,
    ! [X0,X1,X2] :
      ( ( function(X2)
        & relation(X2) )
     => ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
      <=> ( in(X1,X0)
          & in(X1,relation_dom(X2)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l82_funct_1) ).

fof(f43,axiom,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1) )
     => ! [X2] :
          ( ( function(X2)
            & relation(X2) )
         => ( relation_dom_restriction(X2,X0) = X1
          <=> ( ! [X3] :
                  ( in(X3,relation_dom(X1))
                 => apply(X1,X3) = apply(X2,X3) )
              & relation_dom(X1) = set_intersection2(relation_dom(X2),X0) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t68_funct_1) ).

fof(f45,conjecture,
    ! [X0,X1,X2] :
      ( ( function(X2)
        & relation(X2) )
     => ( in(X1,X0)
       => apply(relation_dom_restriction(X2,X0),X1) = apply(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t72_funct_1) ).

fof(f46,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ( function(X2)
          & relation(X2) )
       => ( in(X1,X0)
         => apply(relation_dom_restriction(X2,X0),X1) = apply(X2,X1) ) ),
    inference(negated_conjecture,[],[f45]) ).

fof(f57,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ( apply(X0,X1) = X2
            <=> empty_set = X2 )
            | in(X1,relation_dom(X0)) )
          & ( ( apply(X0,X1) = X2
            <=> in(ordered_pair(X1,X2),X0) )
            | ~ in(X1,relation_dom(X0)) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f58,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ( apply(X0,X1) = X2
            <=> empty_set = X2 )
            | in(X1,relation_dom(X0)) )
          & ( ( apply(X0,X1) = X2
            <=> in(ordered_pair(X1,X2),X0) )
            | ~ in(X1,relation_dom(X0)) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(flattening,[],[f57]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( relation(relation_dom_restriction(X0,X1))
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ( relation_empty_yielding(relation_dom_restriction(X0,X1))
        & relation(relation_dom_restriction(X0,X1)) )
      | ~ relation_empty_yielding(X0)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ( relation_empty_yielding(relation_dom_restriction(X0,X1))
        & relation(relation_dom_restriction(X0,X1)) )
      | ~ relation_empty_yielding(X0)
      | ~ relation(X0) ),
    inference(flattening,[],[f60]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( ( function(relation_dom_restriction(X0,X1))
        & relation(relation_dom_restriction(X0,X1)) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( ( function(relation_dom_restriction(X0,X1))
        & relation(relation_dom_restriction(X0,X1)) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(flattening,[],[f64]) ).

fof(f69,plain,
    ! [X0,X1,X2] :
      ( ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
      <=> ( in(X1,X0)
          & in(X1,relation_dom(X2)) ) )
      | ~ function(X2)
      | ~ relation(X2) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f70,plain,
    ! [X0,X1,X2] :
      ( ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
      <=> ( in(X1,X0)
          & in(X1,relation_dom(X2)) ) )
      | ~ function(X2)
      | ~ relation(X2) ),
    inference(flattening,[],[f69]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( relation_dom_restriction(X2,X0) = X1
          <=> ( ! [X3] :
                  ( apply(X1,X3) = apply(X2,X3)
                  | ~ in(X3,relation_dom(X1)) )
              & relation_dom(X1) = set_intersection2(relation_dom(X2),X0) ) )
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( relation_dom_restriction(X2,X0) = X1
          <=> ( ! [X3] :
                  ( apply(X1,X3) = apply(X2,X3)
                  | ~ in(X3,relation_dom(X1)) )
              & relation_dom(X1) = set_intersection2(relation_dom(X2),X0) ) )
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(flattening,[],[f74]) ).

fof(f77,plain,
    ? [X0,X1,X2] :
      ( apply(relation_dom_restriction(X2,X0),X1) != apply(X2,X1)
      & in(X1,X0)
      & function(X2)
      & relation(X2) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f78,plain,
    ? [X0,X1,X2] :
      ( apply(relation_dom_restriction(X2,X0),X1) != apply(X2,X1)
      & in(X1,X0)
      & function(X2)
      & relation(X2) ),
    inference(flattening,[],[f77]) ).

fof(f81,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( ( ( apply(X0,X1) = X2
                | empty_set != X2 )
              & ( empty_set = X2
                | apply(X0,X1) != X2 ) )
            | in(X1,relation_dom(X0)) )
          & ( ( ( apply(X0,X1) = X2
                | ~ in(ordered_pair(X1,X2),X0) )
              & ( in(ordered_pair(X1,X2),X0)
                | apply(X0,X1) != X2 ) )
            | ~ in(X1,relation_dom(X0)) ) )
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f58]) ).

fof(f84,plain,
    ! [X0,X1,X2] :
      ( ( ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
          | ~ in(X1,X0)
          | ~ in(X1,relation_dom(X2)) )
        & ( ( in(X1,X0)
            & in(X1,relation_dom(X2)) )
          | ~ in(X1,relation_dom(relation_dom_restriction(X2,X0))) ) )
      | ~ function(X2)
      | ~ relation(X2) ),
    inference(nnf_transformation,[],[f70]) ).

fof(f85,plain,
    ! [X0,X1,X2] :
      ( ( ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
          | ~ in(X1,X0)
          | ~ in(X1,relation_dom(X2)) )
        & ( ( in(X1,X0)
            & in(X1,relation_dom(X2)) )
          | ~ in(X1,relation_dom(relation_dom_restriction(X2,X0))) ) )
      | ~ function(X2)
      | ~ relation(X2) ),
    inference(flattening,[],[f84]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( ( relation_dom_restriction(X2,X0) = X1
              | ? [X3] :
                  ( apply(X1,X3) != apply(X2,X3)
                  & in(X3,relation_dom(X1)) )
              | relation_dom(X1) != set_intersection2(relation_dom(X2),X0) )
            & ( ( ! [X3] :
                    ( apply(X1,X3) = apply(X2,X3)
                    | ~ in(X3,relation_dom(X1)) )
                & relation_dom(X1) = set_intersection2(relation_dom(X2),X0) )
              | relation_dom_restriction(X2,X0) != X1 ) )
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(nnf_transformation,[],[f75]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( ( relation_dom_restriction(X2,X0) = X1
              | ? [X3] :
                  ( apply(X1,X3) != apply(X2,X3)
                  & in(X3,relation_dom(X1)) )
              | relation_dom(X1) != set_intersection2(relation_dom(X2),X0) )
            & ( ( ! [X3] :
                    ( apply(X1,X3) = apply(X2,X3)
                    | ~ in(X3,relation_dom(X1)) )
                & relation_dom(X1) = set_intersection2(relation_dom(X2),X0) )
              | relation_dom_restriction(X2,X0) != X1 ) )
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(flattening,[],[f102]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( ( relation_dom_restriction(X2,X0) = X1
              | ? [X3] :
                  ( apply(X1,X3) != apply(X2,X3)
                  & in(X3,relation_dom(X1)) )
              | relation_dom(X1) != set_intersection2(relation_dom(X2),X0) )
            & ( ( ! [X4] :
                    ( apply(X1,X4) = apply(X2,X4)
                    | ~ in(X4,relation_dom(X1)) )
                & relation_dom(X1) = set_intersection2(relation_dom(X2),X0) )
              | relation_dom_restriction(X2,X0) != X1 ) )
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(rectify,[],[f103]) ).

fof(f105,plain,
    ! [X1,X2] :
      ( ? [X3] :
          ( apply(X1,X3) != apply(X2,X3)
          & in(X3,relation_dom(X1)) )
     => ( apply(X1,sK9(X1,X2)) != apply(X2,sK9(X1,X2))
        & in(sK9(X1,X2),relation_dom(X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( ( relation_dom_restriction(X2,X0) = X1
              | ( apply(X1,sK9(X1,X2)) != apply(X2,sK9(X1,X2))
                & in(sK9(X1,X2),relation_dom(X1)) )
              | relation_dom(X1) != set_intersection2(relation_dom(X2),X0) )
            & ( ( ! [X4] :
                    ( apply(X1,X4) = apply(X2,X4)
                    | ~ in(X4,relation_dom(X1)) )
                & relation_dom(X1) = set_intersection2(relation_dom(X2),X0) )
              | relation_dom_restriction(X2,X0) != X1 ) )
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f104,f105]) ).

fof(f107,plain,
    ( ? [X0,X1,X2] :
        ( apply(relation_dom_restriction(X2,X0),X1) != apply(X2,X1)
        & in(X1,X0)
        & function(X2)
        & relation(X2) )
   => ( apply(relation_dom_restriction(sK12,sK10),sK11) != apply(sK12,sK11)
      & in(sK11,sK10)
      & function(sK12)
      & relation(sK12) ) ),
    introduced(choice_axiom,[]) ).

fof(f108,plain,
    ( apply(relation_dom_restriction(sK12,sK10),sK11) != apply(sK12,sK11)
    & in(sK11,sK10)
    & function(sK12)
    & relation(sK12) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f78,f107]) ).

fof(f118,plain,
    ! [X2,X0,X1] :
      ( empty_set = X2
      | apply(X0,X1) != X2
      | in(X1,relation_dom(X0))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f121,plain,
    ! [X0,X1] :
      ( relation(relation_dom_restriction(X0,X1))
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f126,plain,
    ! [X0,X1] :
      ( relation(relation_dom_restriction(X0,X1))
      | ~ relation_empty_yielding(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( function(relation_dom_restriction(X0,X1))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f143,plain,
    ! [X2,X0,X1] :
      ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
      | ~ in(X1,X0)
      | ~ in(X1,relation_dom(X2))
      | ~ function(X2)
      | ~ relation(X2) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f163,plain,
    ! [X2,X0,X1,X4] :
      ( apply(X1,X4) = apply(X2,X4)
      | ~ in(X4,relation_dom(X1))
      | relation_dom_restriction(X2,X0) != X1
      | ~ function(X2)
      | ~ relation(X2)
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f167,plain,
    relation(sK12),
    inference(cnf_transformation,[],[f108]) ).

fof(f168,plain,
    function(sK12),
    inference(cnf_transformation,[],[f108]) ).

fof(f169,plain,
    in(sK11,sK10),
    inference(cnf_transformation,[],[f108]) ).

fof(f170,plain,
    apply(relation_dom_restriction(sK12,sK10),sK11) != apply(sK12,sK11),
    inference(cnf_transformation,[],[f108]) ).

fof(f177,plain,
    ! [X0,X1] :
      ( apply(X0,X1) = empty_set
      | in(X1,relation_dom(X0))
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f118]) ).

fof(f179,plain,
    ! [X2,X0,X4] :
      ( apply(X2,X4) = apply(relation_dom_restriction(X2,X0),X4)
      | ~ in(X4,relation_dom(relation_dom_restriction(X2,X0)))
      | ~ function(X2)
      | ~ relation(X2)
      | ~ function(relation_dom_restriction(X2,X0))
      | ~ relation(relation_dom_restriction(X2,X0)) ),
    inference(equality_resolution,[],[f163]) ).

cnf(c_55,plain,
    ( ~ function(X0)
    | ~ relation(X0)
    | apply(X0,X1) = empty_set
    | in(X1,relation_dom(X0)) ),
    inference(cnf_transformation,[],[f177]) ).

cnf(c_58,plain,
    ( ~ relation(X0)
    | relation(relation_dom_restriction(X0,X1)) ),
    inference(cnf_transformation,[],[f121]) ).

cnf(c_64,plain,
    ( ~ relation(X0)
    | ~ relation_empty_yielding(X0)
    | relation(relation_dom_restriction(X0,X1)) ),
    inference(cnf_transformation,[],[f126]) ).

cnf(c_70,plain,
    ( ~ function(X0)
    | ~ relation(X0)
    | function(relation_dom_restriction(X0,X1)) ),
    inference(cnf_transformation,[],[f134]) ).

cnf(c_78,plain,
    ( ~ in(X0,relation_dom(X1))
    | ~ in(X0,X2)
    | ~ function(X1)
    | ~ relation(X1)
    | in(X0,relation_dom(relation_dom_restriction(X1,X2))) ),
    inference(cnf_transformation,[],[f143]) ).

cnf(c_101,plain,
    ( ~ in(X0,relation_dom(relation_dom_restriction(X1,X2)))
    | ~ function(relation_dom_restriction(X1,X2))
    | ~ relation(relation_dom_restriction(X1,X2))
    | ~ function(X1)
    | ~ relation(X1)
    | apply(relation_dom_restriction(X1,X2),X0) = apply(X1,X0) ),
    inference(cnf_transformation,[],[f179]) ).

cnf(c_104,negated_conjecture,
    apply(relation_dom_restriction(sK12,sK10),sK11) != apply(sK12,sK11),
    inference(cnf_transformation,[],[f170]) ).

cnf(c_105,negated_conjecture,
    in(sK11,sK10),
    inference(cnf_transformation,[],[f169]) ).

cnf(c_106,negated_conjecture,
    function(sK12),
    inference(cnf_transformation,[],[f168]) ).

cnf(c_107,negated_conjecture,
    relation(sK12),
    inference(cnf_transformation,[],[f167]) ).

cnf(c_140,plain,
    ( ~ relation(X0)
    | relation(relation_dom_restriction(X0,X1)) ),
    inference(global_subsumption_just,[status(thm)],[c_64,c_58]) ).

cnf(c_235,plain,
    ( ~ in(X0,relation_dom(relation_dom_restriction(X1,X2)))
    | ~ function(relation_dom_restriction(X1,X2))
    | ~ function(X1)
    | ~ relation(X1)
    | apply(relation_dom_restriction(X1,X2),X0) = apply(X1,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_101,c_140]) ).

cnf(c_271,plain,
    ( ~ in(X0,relation_dom(relation_dom_restriction(X1,X2)))
    | ~ function(X1)
    | ~ relation(X1)
    | apply(relation_dom_restriction(X1,X2),X0) = apply(X1,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_235,c_70]) ).

cnf(c_939,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_1932,plain,
    ( apply(relation_dom_restriction(sK12,sK10),sK11) != X0
    | apply(sK12,sK11) != X0
    | apply(relation_dom_restriction(sK12,sK10),sK11) = apply(sK12,sK11) ),
    inference(instantiation,[status(thm)],[c_939]) ).

cnf(c_1933,plain,
    ( apply(relation_dom_restriction(sK12,sK10),sK11) != empty_set
    | apply(sK12,sK11) != empty_set
    | apply(relation_dom_restriction(sK12,sK10),sK11) = apply(sK12,sK11) ),
    inference(instantiation,[status(thm)],[c_1932]) ).

cnf(c_2010,plain,
    ( ~ in(sK11,relation_dom(X0))
    | ~ in(sK11,sK10)
    | ~ function(X0)
    | ~ relation(X0)
    | in(sK11,relation_dom(relation_dom_restriction(X0,sK10))) ),
    inference(instantiation,[status(thm)],[c_78]) ).

cnf(c_2505,plain,
    ( ~ function(sK12)
    | ~ relation(sK12)
    | function(relation_dom_restriction(sK12,sK10)) ),
    inference(instantiation,[status(thm)],[c_70]) ).

cnf(c_2527,plain,
    ( ~ function(sK12)
    | ~ relation(sK12)
    | apply(sK12,sK11) = empty_set
    | in(sK11,relation_dom(sK12)) ),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_3963,plain,
    ( ~ relation(sK12)
    | relation(relation_dom_restriction(sK12,sK10)) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_4161,plain,
    ( ~ function(relation_dom_restriction(sK12,sK10))
    | ~ relation(relation_dom_restriction(sK12,sK10))
    | apply(relation_dom_restriction(sK12,sK10),sK11) = empty_set
    | in(sK11,relation_dom(relation_dom_restriction(sK12,sK10))) ),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_4765,plain,
    ( ~ in(sK11,relation_dom(sK12))
    | ~ in(sK11,sK10)
    | ~ function(sK12)
    | ~ relation(sK12)
    | in(sK11,relation_dom(relation_dom_restriction(sK12,sK10))) ),
    inference(instantiation,[status(thm)],[c_2010]) ).

cnf(c_6990,plain,
    ( ~ in(sK11,relation_dom(relation_dom_restriction(sK12,sK10)))
    | ~ function(sK12)
    | ~ relation(sK12)
    | apply(relation_dom_restriction(sK12,sK10),sK11) = apply(sK12,sK11) ),
    inference(instantiation,[status(thm)],[c_271]) ).

cnf(c_6993,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_6990,c_4765,c_4161,c_3963,c_2527,c_2505,c_1933,c_104,c_105,c_106,c_107]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU225+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n012.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Aug 23 20:30:12 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.54/1.13  % SZS status Started for theBenchmark.p
% 3.54/1.13  % SZS status Theorem for theBenchmark.p
% 3.54/1.13  
% 3.54/1.13  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.54/1.13  
% 3.54/1.13  ------  iProver source info
% 3.54/1.13  
% 3.54/1.13  git: date: 2023-05-31 18:12:56 +0000
% 3.54/1.13  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.54/1.13  git: non_committed_changes: false
% 3.54/1.13  git: last_make_outside_of_git: false
% 3.54/1.13  
% 3.54/1.13  ------ Parsing...
% 3.54/1.13  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.54/1.13  
% 3.54/1.13  ------ Preprocessing... sup_sim: 2  sf_s  rm: 5 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 3 0s  sf_e  pe_s  pe_e 
% 3.54/1.13  
% 3.54/1.13  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.54/1.13  
% 3.54/1.13  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.54/1.13  ------ Proving...
% 3.54/1.13  ------ Problem Properties 
% 3.54/1.13  
% 3.54/1.13  
% 3.54/1.13  clauses                                 49
% 3.54/1.13  conjectures                             4
% 3.54/1.13  EPR                                     25
% 3.54/1.13  Horn                                    46
% 3.54/1.13  unary                                   26
% 3.54/1.13  binary                                  9
% 3.54/1.13  lits                                    103
% 3.54/1.13  lits eq                                 16
% 3.54/1.13  fd_pure                                 0
% 3.54/1.13  fd_pseudo                               0
% 3.54/1.13  fd_cond                                 1
% 3.54/1.13  fd_pseudo_cond                          4
% 3.54/1.13  AC symbols                              0
% 3.54/1.13  
% 3.54/1.13  ------ Schedule dynamic 5 is on 
% 3.54/1.13  
% 3.54/1.13  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.54/1.13  
% 3.54/1.13  
% 3.54/1.13  ------ 
% 3.54/1.13  Current options:
% 3.54/1.13  ------ 
% 3.54/1.13  
% 3.54/1.13  
% 3.54/1.13  
% 3.54/1.13  
% 3.54/1.13  ------ Proving...
% 3.54/1.13  
% 3.54/1.13  
% 3.54/1.13  % SZS status Theorem for theBenchmark.p
% 3.54/1.13  
% 3.54/1.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.54/1.13  
% 3.54/1.13  
%------------------------------------------------------------------------------