TSTP Solution File: SEU284+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SEU284+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n028.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 17:05:28 EDT 2023

% Result   : Theorem 2.78s 1.15s
% Output   : CNFRefutation 2.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   78 (   8 unt;   0 def)
%            Number of atoms       :  287 ( 134 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  321 ( 112   ~; 118   |;  78   &)
%                                         (   0 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   1 con; 0-2 aty)
%            Number of variables   :  127 (   0 sgn;  69   !;  38   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X0] :
    ? [X1] :
      ( ! [X2] :
          ( in(X2,X0)
         => apply(X1,X2) = singleton(X2) )
      & relation_dom(X1) = X0
      & function(X1)
      & relation(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_funct_1__e16_22__wellord2) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
      ? [X1] :
        ( ! [X2] :
            ( in(X2,X0)
           => apply(X1,X2) = singleton(X2) )
        & relation_dom(X1) = X0
        & function(X1)
        & relation(X1) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f8,axiom,
    ! [X0] :
      ( ( ! [X1] :
            ~ ( ! [X2] : singleton(X1) != X2
              & in(X1,X0) )
        & ! [X1,X2,X3] :
            ( ( singleton(X1) = X3
              & singleton(X1) = X2
              & in(X1,X0) )
           => X2 = X3 ) )
     => ? [X1] :
          ( ! [X2] :
              ( in(X2,X0)
             => apply(X1,X2) = singleton(X2) )
          & relation_dom(X1) = X0
          & function(X1)
          & relation(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',s2_funct_1__e16_22__wellord2__1) ).

fof(f29,plain,
    ! [X0] :
      ( ( ! [X1] :
            ~ ( ! [X2] : singleton(X1) != X2
              & in(X1,X0) )
        & ! [X3,X4,X5] :
            ( ( singleton(X3) = X5
              & singleton(X3) = X4
              & in(X3,X0) )
           => X4 = X5 ) )
     => ? [X6] :
          ( ! [X7] :
              ( in(X7,X0)
             => apply(X6,X7) = singleton(X7) )
          & relation_dom(X6) = X0
          & function(X6)
          & relation(X6) ) ),
    inference(rectify,[],[f8]) ).

fof(f32,plain,
    ? [X0] :
    ! [X1] :
      ( ? [X2] :
          ( apply(X1,X2) != singleton(X2)
          & in(X2,X0) )
      | relation_dom(X1) != X0
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f34,plain,
    ! [X0] :
      ( ? [X6] :
          ( ! [X7] :
              ( apply(X6,X7) = singleton(X7)
              | ~ in(X7,X0) )
          & relation_dom(X6) = X0
          & function(X6)
          & relation(X6) )
      | ? [X1] :
          ( ! [X2] : singleton(X1) != X2
          & in(X1,X0) )
      | ? [X3,X4,X5] :
          ( X4 != X5
          & singleton(X3) = X5
          & singleton(X3) = X4
          & in(X3,X0) ) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f35,plain,
    ! [X0] :
      ( ? [X6] :
          ( ! [X7] :
              ( apply(X6,X7) = singleton(X7)
              | ~ in(X7,X0) )
          & relation_dom(X6) = X0
          & function(X6)
          & relation(X6) )
      | ? [X1] :
          ( ! [X2] : singleton(X1) != X2
          & in(X1,X0) )
      | ? [X3,X4,X5] :
          ( X4 != X5
          & singleton(X3) = X5
          & singleton(X3) = X4
          & in(X3,X0) ) ),
    inference(flattening,[],[f34]) ).

fof(f47,plain,
    ! [X0] :
      ( ? [X3,X4,X5] :
          ( X4 != X5
          & singleton(X3) = X5
          & singleton(X3) = X4
          & in(X3,X0) )
      | ~ sP0(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f48,plain,
    ! [X0] :
      ( ? [X6] :
          ( ! [X7] :
              ( apply(X6,X7) = singleton(X7)
              | ~ in(X7,X0) )
          & relation_dom(X6) = X0
          & function(X6)
          & relation(X6) )
      | ? [X1] :
          ( ! [X2] : singleton(X1) != X2
          & in(X1,X0) )
      | sP0(X0) ),
    inference(definition_folding,[],[f35,f47]) ).

fof(f49,plain,
    ( ? [X0] :
      ! [X1] :
        ( ? [X2] :
            ( apply(X1,X2) != singleton(X2)
            & in(X2,X0) )
        | relation_dom(X1) != X0
        | ~ function(X1)
        | ~ relation(X1) )
   => ! [X1] :
        ( ? [X2] :
            ( apply(X1,X2) != singleton(X2)
            & in(X2,sK1) )
        | relation_dom(X1) != sK1
        | ~ function(X1)
        | ~ relation(X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f50,plain,
    ! [X1] :
      ( ? [X2] :
          ( apply(X1,X2) != singleton(X2)
          & in(X2,sK1) )
     => ( apply(X1,sK2(X1)) != singleton(sK2(X1))
        & in(sK2(X1),sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f51,plain,
    ! [X1] :
      ( ( apply(X1,sK2(X1)) != singleton(sK2(X1))
        & in(sK2(X1),sK1) )
      | relation_dom(X1) != sK1
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f32,f50,f49]) ).

fof(f54,plain,
    ! [X0] :
      ( ? [X3,X4,X5] :
          ( X4 != X5
          & singleton(X3) = X5
          & singleton(X3) = X4
          & in(X3,X0) )
      | ~ sP0(X0) ),
    inference(nnf_transformation,[],[f47]) ).

fof(f55,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( X2 != X3
          & singleton(X1) = X3
          & singleton(X1) = X2
          & in(X1,X0) )
      | ~ sP0(X0) ),
    inference(rectify,[],[f54]) ).

fof(f56,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( X2 != X3
          & singleton(X1) = X3
          & singleton(X1) = X2
          & in(X1,X0) )
     => ( sK5(X0) != sK6(X0)
        & sK6(X0) = singleton(sK4(X0))
        & sK5(X0) = singleton(sK4(X0))
        & in(sK4(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f57,plain,
    ! [X0] :
      ( ( sK5(X0) != sK6(X0)
        & sK6(X0) = singleton(sK4(X0))
        & sK5(X0) = singleton(sK4(X0))
        & in(sK4(X0),X0) )
      | ~ sP0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f55,f56]) ).

fof(f58,plain,
    ! [X0] :
      ( ? [X1] :
          ( ! [X2] :
              ( apply(X1,X2) = singleton(X2)
              | ~ in(X2,X0) )
          & relation_dom(X1) = X0
          & function(X1)
          & relation(X1) )
      | ? [X3] :
          ( ! [X4] : singleton(X3) != X4
          & in(X3,X0) )
      | sP0(X0) ),
    inference(rectify,[],[f48]) ).

fof(f59,plain,
    ! [X0] :
      ( ? [X1] :
          ( ! [X2] :
              ( apply(X1,X2) = singleton(X2)
              | ~ in(X2,X0) )
          & relation_dom(X1) = X0
          & function(X1)
          & relation(X1) )
     => ( ! [X2] :
            ( singleton(X2) = apply(sK7(X0),X2)
            | ~ in(X2,X0) )
        & relation_dom(sK7(X0)) = X0
        & function(sK7(X0))
        & relation(sK7(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f60,plain,
    ! [X0] :
      ( ? [X3] :
          ( ! [X4] : singleton(X3) != X4
          & in(X3,X0) )
     => ( ! [X4] : singleton(sK8(X0)) != X4
        & in(sK8(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f61,plain,
    ! [X0] :
      ( ( ! [X2] :
            ( singleton(X2) = apply(sK7(X0),X2)
            | ~ in(X2,X0) )
        & relation_dom(sK7(X0)) = X0
        & function(sK7(X0))
        & relation(sK7(X0)) )
      | ( ! [X4] : singleton(sK8(X0)) != X4
        & in(sK8(X0),X0) )
      | sP0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f58,f60,f59]) ).

fof(f74,plain,
    ! [X1] :
      ( in(sK2(X1),sK1)
      | relation_dom(X1) != sK1
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f75,plain,
    ! [X1] :
      ( apply(X1,sK2(X1)) != singleton(sK2(X1))
      | relation_dom(X1) != sK1
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f80,plain,
    ! [X0] :
      ( sK5(X0) = singleton(sK4(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f81,plain,
    ! [X0] :
      ( sK6(X0) = singleton(sK4(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f82,plain,
    ! [X0] :
      ( sK5(X0) != sK6(X0)
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f84,plain,
    ! [X0,X4] :
      ( relation(sK7(X0))
      | singleton(sK8(X0)) != X4
      | sP0(X0) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f86,plain,
    ! [X0,X4] :
      ( function(sK7(X0))
      | singleton(sK8(X0)) != X4
      | sP0(X0) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f87,plain,
    ! [X0] :
      ( relation_dom(sK7(X0)) = X0
      | in(sK8(X0),X0)
      | sP0(X0) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f88,plain,
    ! [X0,X4] :
      ( relation_dom(sK7(X0)) = X0
      | singleton(sK8(X0)) != X4
      | sP0(X0) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f90,plain,
    ! [X2,X0,X4] :
      ( singleton(X2) = apply(sK7(X0),X2)
      | ~ in(X2,X0)
      | singleton(sK8(X0)) != X4
      | sP0(X0) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f114,plain,
    ! [X2,X0] :
      ( singleton(X2) = apply(sK7(X0),X2)
      | ~ in(X2,X0)
      | sP0(X0) ),
    inference(equality_resolution,[],[f90]) ).

fof(f115,plain,
    ! [X0] :
      ( relation_dom(sK7(X0)) = X0
      | sP0(X0) ),
    inference(equality_resolution,[],[f88]) ).

fof(f116,plain,
    ! [X0] :
      ( function(sK7(X0))
      | sP0(X0) ),
    inference(equality_resolution,[],[f86]) ).

fof(f117,plain,
    ! [X0] :
      ( relation(sK7(X0))
      | sP0(X0) ),
    inference(equality_resolution,[],[f84]) ).

cnf(c_49,negated_conjecture,
    ( apply(X0,sK2(X0)) != singleton(sK2(X0))
    | relation_dom(X0) != sK1
    | ~ function(X0)
    | ~ relation(X0) ),
    inference(cnf_transformation,[],[f75]) ).

cnf(c_50,negated_conjecture,
    ( relation_dom(X0) != sK1
    | ~ function(X0)
    | ~ relation(X0)
    | in(sK2(X0),sK1) ),
    inference(cnf_transformation,[],[f74]) ).

cnf(c_54,plain,
    ( sK5(X0) != sK6(X0)
    | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f82]) ).

cnf(c_55,plain,
    ( ~ sP0(X0)
    | singleton(sK4(X0)) = sK6(X0) ),
    inference(cnf_transformation,[],[f81]) ).

cnf(c_56,plain,
    ( ~ sP0(X0)
    | singleton(sK4(X0)) = sK5(X0) ),
    inference(cnf_transformation,[],[f80]) ).

cnf(c_58,plain,
    ( ~ in(X0,X1)
    | apply(sK7(X1),X0) = singleton(X0)
    | sP0(X1) ),
    inference(cnf_transformation,[],[f114]) ).

cnf(c_60,plain,
    ( relation_dom(sK7(X0)) = X0
    | sP0(X0) ),
    inference(cnf_transformation,[],[f115]) ).

cnf(c_61,plain,
    ( relation_dom(sK7(X0)) = X0
    | in(sK8(X0),X0)
    | sP0(X0) ),
    inference(cnf_transformation,[],[f87]) ).

cnf(c_62,plain,
    ( function(sK7(X0))
    | sP0(X0) ),
    inference(cnf_transformation,[],[f116]) ).

cnf(c_64,plain,
    ( relation(sK7(X0))
    | sP0(X0) ),
    inference(cnf_transformation,[],[f117]) ).

cnf(c_110,plain,
    ( relation_dom(sK7(X0)) = X0
    | sP0(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_61,c_60]) ).

cnf(c_554,plain,
    ( sK5(X0) != sK6(X0)
    | X0 != X1
    | relation_dom(sK7(X1)) = X1 ),
    inference(resolution_lifted,[status(thm)],[c_110,c_54]) ).

cnf(c_555,plain,
    ( sK5(X0) != sK6(X0)
    | relation_dom(sK7(X0)) = X0 ),
    inference(unflattening,[status(thm)],[c_554]) ).

cnf(c_2231,plain,
    ( singleton(sK4(X0)) = sK6(X0)
    | relation_dom(sK7(X0)) = X0 ),
    inference(superposition,[status(thm)],[c_60,c_55]) ).

cnf(c_2238,plain,
    ( singleton(sK4(X0)) = sK5(X0)
    | relation_dom(sK7(X0)) = X0 ),
    inference(superposition,[status(thm)],[c_60,c_56]) ).

cnf(c_2354,plain,
    ( relation_dom(sK7(X0)) = X0
    | sK5(X0) = sK6(X0) ),
    inference(superposition,[status(thm)],[c_2231,c_2238]) ).

cnf(c_2381,plain,
    relation_dom(sK7(X0)) = X0,
    inference(global_subsumption_just,[status(thm)],[c_2354,c_555,c_2354]) ).

cnf(c_2393,plain,
    ( X0 != sK1
    | ~ function(sK7(X0))
    | ~ relation(sK7(X0))
    | in(sK2(sK7(X0)),sK1) ),
    inference(superposition,[status(thm)],[c_2381,c_50]) ).

cnf(c_2431,plain,
    ( ~ function(sK7(sK1))
    | ~ relation(sK7(sK1))
    | in(sK2(sK7(sK1)),sK1) ),
    inference(equality_resolution,[status(thm)],[c_2393]) ).

cnf(c_2441,plain,
    ( ~ function(sK7(sK1))
    | ~ relation(sK7(sK1))
    | apply(sK7(sK1),sK2(sK7(sK1))) = singleton(sK2(sK7(sK1)))
    | sP0(sK1) ),
    inference(superposition,[status(thm)],[c_2431,c_58]) ).

cnf(c_2474,plain,
    ( apply(sK7(sK1),sK2(sK7(sK1))) = singleton(sK2(sK7(sK1)))
    | sP0(sK1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2441,c_64,c_62]) ).

cnf(c_2477,plain,
    ( apply(sK7(sK1),sK2(sK7(sK1))) = singleton(sK2(sK7(sK1)))
    | singleton(sK4(sK1)) = sK5(sK1) ),
    inference(superposition,[status(thm)],[c_2474,c_56]) ).

cnf(c_2478,plain,
    ( apply(sK7(sK1),sK2(sK7(sK1))) = singleton(sK2(sK7(sK1)))
    | singleton(sK4(sK1)) = sK6(sK1) ),
    inference(superposition,[status(thm)],[c_2474,c_55]) ).

cnf(c_2494,plain,
    ( relation_dom(sK7(sK1)) != sK1
    | ~ function(sK7(sK1))
    | ~ relation(sK7(sK1))
    | singleton(sK4(sK1)) = sK5(sK1) ),
    inference(superposition,[status(thm)],[c_2477,c_49]) ).

cnf(c_2495,plain,
    ( ~ function(sK7(sK1))
    | ~ relation(sK7(sK1))
    | singleton(sK4(sK1)) = sK5(sK1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2494,c_2381]) ).

cnf(c_2503,plain,
    ( relation_dom(sK7(sK1)) != sK1
    | ~ function(sK7(sK1))
    | ~ relation(sK7(sK1))
    | singleton(sK4(sK1)) = sK6(sK1) ),
    inference(superposition,[status(thm)],[c_2478,c_49]) ).

cnf(c_2504,plain,
    ( ~ function(sK7(sK1))
    | ~ relation(sK7(sK1))
    | singleton(sK4(sK1)) = sK6(sK1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2503,c_2381]) ).

cnf(c_2556,plain,
    ( relation_dom(sK7(sK1)) = sK1
    | sP0(sK1) ),
    inference(instantiation,[status(thm)],[c_60]) ).

cnf(c_2557,plain,
    ( apply(sK7(sK1),sK2(sK7(sK1))) != singleton(sK2(sK7(sK1)))
    | relation_dom(sK7(sK1)) != sK1
    | ~ function(sK7(sK1))
    | ~ relation(sK7(sK1)) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_2651,plain,
    ( ~ relation(sK7(sK1))
    | singleton(sK4(sK1)) = sK5(sK1)
    | sP0(sK1) ),
    inference(superposition,[status(thm)],[c_62,c_2495]) ).

cnf(c_2662,plain,
    ( ~ relation(sK7(sK1))
    | singleton(sK4(sK1)) = sK6(sK1)
    | sP0(sK1) ),
    inference(superposition,[status(thm)],[c_62,c_2504]) ).

cnf(c_2669,plain,
    singleton(sK4(sK1)) = sK5(sK1),
    inference(forward_subsumption_resolution,[status(thm)],[c_2651,c_56,c_64]) ).

cnf(c_2679,plain,
    ( ~ relation(sK7(sK1))
    | sK5(sK1) = sK6(sK1)
    | sP0(sK1) ),
    inference(light_normalisation,[status(thm)],[c_2662,c_2669]) ).

cnf(c_2683,plain,
    ( sK5(sK1) = sK6(sK1)
    | sP0(sK1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2679,c_64]) ).

cnf(c_2687,plain,
    ( singleton(sK4(sK1)) = sK6(sK1)
    | sK5(sK1) = sK6(sK1) ),
    inference(superposition,[status(thm)],[c_2683,c_55]) ).

cnf(c_2689,plain,
    sK5(sK1) = sK6(sK1),
    inference(light_normalisation,[status(thm)],[c_2687,c_2669]) ).

cnf(c_2692,plain,
    ~ sP0(sK1),
    inference(superposition,[status(thm)],[c_2689,c_54]) ).

cnf(c_2693,plain,
    apply(sK7(sK1),sK2(sK7(sK1))) = singleton(sK2(sK7(sK1))),
    inference(backward_subsumption_resolution,[status(thm)],[c_2474,c_2692]) ).

cnf(c_2696,plain,
    ( relation_dom(sK7(sK1)) != sK1
    | ~ function(sK7(sK1))
    | ~ relation(sK7(sK1)) ),
    inference(superposition,[status(thm)],[c_2693,c_49]) ).

cnf(c_2697,plain,
    ( ~ function(sK7(sK1))
    | ~ relation(sK7(sK1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2696,c_2381]) ).

cnf(c_2703,plain,
    ( function(sK7(sK1))
    | sP0(sK1) ),
    inference(instantiation,[status(thm)],[c_62]) ).

cnf(c_2704,plain,
    ~ relation(sK7(sK1)),
    inference(global_subsumption_just,[status(thm)],[c_2697,c_2556,c_2557,c_2692,c_2693,c_2703]) ).

cnf(c_2707,plain,
    sP0(sK1),
    inference(superposition,[status(thm)],[c_64,c_2704]) ).

cnf(c_2708,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_2707,c_2692]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU284+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n028.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 20:29:04 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.78/1.15  % SZS status Started for theBenchmark.p
% 2.78/1.15  % SZS status Theorem for theBenchmark.p
% 2.78/1.15  
% 2.78/1.15  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.78/1.15  
% 2.78/1.15  ------  iProver source info
% 2.78/1.15  
% 2.78/1.15  git: date: 2023-05-31 18:12:56 +0000
% 2.78/1.15  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.78/1.15  git: non_committed_changes: false
% 2.78/1.15  git: last_make_outside_of_git: false
% 2.78/1.15  
% 2.78/1.15  ------ Parsing...
% 2.78/1.15  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 2.78/1.15  
% 2.78/1.15  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 2.78/1.15  
% 2.78/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.78/1.15  
% 2.78/1.15  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.78/1.15  ------ Proving...
% 2.78/1.15  ------ Problem Properties 
% 2.78/1.15  
% 2.78/1.15  
% 2.78/1.15  clauses                                 31
% 2.78/1.15  conjectures                             2
% 2.78/1.15  EPR                                     17
% 2.78/1.15  Horn                                    26
% 2.78/1.15  unary                                   11
% 2.78/1.15  binary                                  15
% 2.78/1.15  lits                                    58
% 2.78/1.15  lits eq                                 10
% 2.78/1.15  fd_pure                                 0
% 2.78/1.15  fd_pseudo                               0
% 2.78/1.15  fd_cond                                 1
% 2.78/1.15  fd_pseudo_cond                          1
% 2.78/1.15  AC symbols                              0
% 2.78/1.15  
% 2.78/1.15  ------ Schedule dynamic 5 is on 
% 2.78/1.15  
% 2.78/1.15  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.78/1.15  
% 2.78/1.15  
% 2.78/1.15  ------ 
% 2.78/1.15  Current options:
% 2.78/1.15  ------ 
% 2.78/1.15  
% 2.78/1.15  
% 2.78/1.15  
% 2.78/1.15  
% 2.78/1.15  ------ Proving...
% 2.78/1.15  
% 2.78/1.15  
% 2.78/1.15  % SZS status Theorem for theBenchmark.p
% 2.78/1.15  
% 2.78/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.78/1.15  
% 2.78/1.15  
%------------------------------------------------------------------------------