TSTP Solution File: SWC378+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWC378+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n027.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 20:42:58 EDT 2023

% Result   : Theorem 4.02s 1.16s
% Output   : CNFRefutation 4.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   58 (  15 unt;   0 def)
%            Number of atoms       :  376 (  68 equ)
%            Maximal formula atoms :   30 (   6 avg)
%            Number of connectives :  476 ( 158   ~; 162   |; 132   &)
%                                         (   2 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :  118 (   0 sgn;  42   !;  52   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f36,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( memberP(app(X1,X2),X0)
              <=> ( memberP(X2,X0)
                  | memberP(X1,X0) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ! [X6] :
                      ( ( memberP(X0,X6)
                        & memberP(X1,X6) )
                      | ( ~ memberP(X0,X6)
                        & ~ memberP(X1,X6) )
                      | ~ ssItem(X6) )
                  | ! [X4] :
                      ( ssList(X4)
                     => ! [X5] :
                          ( app(X5,X4) != X2
                          | app(X4,X5) != X3
                          | ~ ssList(X5) ) )
                  | X0 != X2
                  | X1 != X3
                  | ~ ssList(X3) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ! [X6] :
                        ( ( memberP(X0,X6)
                          & memberP(X1,X6) )
                        | ( ~ memberP(X0,X6)
                          & ~ memberP(X1,X6) )
                        | ~ ssItem(X6) )
                    | ! [X4] :
                        ( ssList(X4)
                       => ! [X5] :
                            ( app(X5,X4) != X2
                            | app(X4,X5) != X3
                            | ~ ssList(X5) ) )
                    | X0 != X2
                    | X1 != X3
                    | ~ ssList(X3) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f98,plain,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ! [X4] :
                        ( ( memberP(X0,X4)
                          & memberP(X1,X4) )
                        | ( ~ memberP(X0,X4)
                          & ~ memberP(X1,X4) )
                        | ~ ssItem(X4) )
                    | ! [X5] :
                        ( ssList(X5)
                       => ! [X6] :
                            ( app(X6,X5) != X2
                            | app(X5,X6) != X3
                            | ~ ssList(X6) ) )
                    | X0 != X2
                    | X1 != X3
                    | ~ ssList(X3) ) ) ) ),
    inference(rectify,[],[f97]) ).

fof(f147,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( memberP(app(X1,X2),X0)
              <=> ( memberP(X2,X0)
                  | memberP(X1,X0) ) )
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f222,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ( ~ memberP(X0,X4)
                        | ~ memberP(X1,X4) )
                      & ( memberP(X0,X4)
                        | memberP(X1,X4) )
                      & ssItem(X4) )
                  & ? [X5] :
                      ( ? [X6] :
                          ( app(X6,X5) = X2
                          & app(X5,X6) = X3
                          & ssList(X6) )
                      & ssList(X5) )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f322,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( memberP(app(X1,X2),X0)
                  | ( ~ memberP(X2,X0)
                    & ~ memberP(X1,X0) ) )
                & ( memberP(X2,X0)
                  | memberP(X1,X0)
                  | ~ memberP(app(X1,X2),X0) ) )
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(nnf_transformation,[],[f147]) ).

fof(f323,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( memberP(app(X1,X2),X0)
                  | ( ~ memberP(X2,X0)
                    & ~ memberP(X1,X0) ) )
                & ( memberP(X2,X0)
                  | memberP(X1,X0)
                  | ~ memberP(app(X1,X2),X0) ) )
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f322]) ).

fof(f343,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ( ~ memberP(X0,X4)
                          | ~ memberP(X1,X4) )
                        & ( memberP(X0,X4)
                          | memberP(X1,X4) )
                        & ssItem(X4) )
                    & ? [X5] :
                        ( ? [X6] :
                            ( app(X6,X5) = X2
                            & app(X5,X6) = X3
                            & ssList(X6) )
                        & ssList(X5) )
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ( ~ memberP(sK53,X4)
                        | ~ memberP(X1,X4) )
                      & ( memberP(sK53,X4)
                        | memberP(X1,X4) )
                      & ssItem(X4) )
                  & ? [X5] :
                      ( ? [X6] :
                          ( app(X6,X5) = X2
                          & app(X5,X6) = X3
                          & ssList(X6) )
                      & ssList(X5) )
                  & sK53 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK53) ) ),
    introduced(choice_axiom,[]) ).

fof(f344,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ? [X4] :
                    ( ( ~ memberP(sK53,X4)
                      | ~ memberP(X1,X4) )
                    & ( memberP(sK53,X4)
                      | memberP(X1,X4) )
                    & ssItem(X4) )
                & ? [X5] :
                    ( ? [X6] :
                        ( app(X6,X5) = X2
                        & app(X5,X6) = X3
                        & ssList(X6) )
                    & ssList(X5) )
                & sK53 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( ( ~ memberP(sK53,X4)
                    | ~ memberP(sK54,X4) )
                  & ( memberP(sK53,X4)
                    | memberP(sK54,X4) )
                  & ssItem(X4) )
              & ? [X5] :
                  ( ? [X6] :
                      ( app(X6,X5) = X2
                      & app(X5,X6) = X3
                      & ssList(X6) )
                  & ssList(X5) )
              & sK53 = X2
              & sK54 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK54) ) ),
    introduced(choice_axiom,[]) ).

fof(f345,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ? [X4] :
                ( ( ~ memberP(sK53,X4)
                  | ~ memberP(sK54,X4) )
                & ( memberP(sK53,X4)
                  | memberP(sK54,X4) )
                & ssItem(X4) )
            & ? [X5] :
                ( ? [X6] :
                    ( app(X6,X5) = X2
                    & app(X5,X6) = X3
                    & ssList(X6) )
                & ssList(X5) )
            & sK53 = X2
            & sK54 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ? [X4] :
              ( ( ~ memberP(sK53,X4)
                | ~ memberP(sK54,X4) )
              & ( memberP(sK53,X4)
                | memberP(sK54,X4) )
              & ssItem(X4) )
          & ? [X5] :
              ( ? [X6] :
                  ( app(X6,X5) = sK55
                  & app(X5,X6) = X3
                  & ssList(X6) )
              & ssList(X5) )
          & sK53 = sK55
          & sK54 = X3
          & ssList(X3) )
      & ssList(sK55) ) ),
    introduced(choice_axiom,[]) ).

fof(f346,plain,
    ( ? [X3] :
        ( ? [X4] :
            ( ( ~ memberP(sK53,X4)
              | ~ memberP(sK54,X4) )
            & ( memberP(sK53,X4)
              | memberP(sK54,X4) )
            & ssItem(X4) )
        & ? [X5] :
            ( ? [X6] :
                ( app(X6,X5) = sK55
                & app(X5,X6) = X3
                & ssList(X6) )
            & ssList(X5) )
        & sK53 = sK55
        & sK54 = X3
        & ssList(X3) )
   => ( ? [X4] :
          ( ( ~ memberP(sK53,X4)
            | ~ memberP(sK54,X4) )
          & ( memberP(sK53,X4)
            | memberP(sK54,X4) )
          & ssItem(X4) )
      & ? [X5] :
          ( ? [X6] :
              ( app(X6,X5) = sK55
              & app(X5,X6) = sK56
              & ssList(X6) )
          & ssList(X5) )
      & sK53 = sK55
      & sK54 = sK56
      & ssList(sK56) ) ),
    introduced(choice_axiom,[]) ).

fof(f347,plain,
    ( ? [X4] :
        ( ( ~ memberP(sK53,X4)
          | ~ memberP(sK54,X4) )
        & ( memberP(sK53,X4)
          | memberP(sK54,X4) )
        & ssItem(X4) )
   => ( ( ~ memberP(sK53,sK57)
        | ~ memberP(sK54,sK57) )
      & ( memberP(sK53,sK57)
        | memberP(sK54,sK57) )
      & ssItem(sK57) ) ),
    introduced(choice_axiom,[]) ).

fof(f348,plain,
    ( ? [X5] :
        ( ? [X6] :
            ( app(X6,X5) = sK55
            & app(X5,X6) = sK56
            & ssList(X6) )
        & ssList(X5) )
   => ( ? [X6] :
          ( sK55 = app(X6,sK58)
          & sK56 = app(sK58,X6)
          & ssList(X6) )
      & ssList(sK58) ) ),
    introduced(choice_axiom,[]) ).

fof(f349,plain,
    ( ? [X6] :
        ( sK55 = app(X6,sK58)
        & sK56 = app(sK58,X6)
        & ssList(X6) )
   => ( sK55 = app(sK59,sK58)
      & sK56 = app(sK58,sK59)
      & ssList(sK59) ) ),
    introduced(choice_axiom,[]) ).

fof(f350,plain,
    ( ( ~ memberP(sK53,sK57)
      | ~ memberP(sK54,sK57) )
    & ( memberP(sK53,sK57)
      | memberP(sK54,sK57) )
    & ssItem(sK57)
    & sK55 = app(sK59,sK58)
    & sK56 = app(sK58,sK59)
    & ssList(sK59)
    & ssList(sK58)
    & sK53 = sK55
    & sK54 = sK56
    & ssList(sK56)
    & ssList(sK55)
    & ssList(sK54)
    & ssList(sK53) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57,sK58,sK59])],[f222,f349,f348,f347,f346,f345,f344,f343]) ).

fof(f467,plain,
    ! [X2,X0,X1] :
      ( memberP(X2,X0)
      | memberP(X1,X0)
      | ~ memberP(app(X1,X2),X0)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f323]) ).

fof(f468,plain,
    ! [X2,X0,X1] :
      ( memberP(app(X1,X2),X0)
      | ~ memberP(X1,X0)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f323]) ).

fof(f469,plain,
    ! [X2,X0,X1] :
      ( memberP(app(X1,X2),X0)
      | ~ memberP(X2,X0)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f323]) ).

fof(f554,plain,
    sK54 = sK56,
    inference(cnf_transformation,[],[f350]) ).

fof(f555,plain,
    sK53 = sK55,
    inference(cnf_transformation,[],[f350]) ).

fof(f556,plain,
    ssList(sK58),
    inference(cnf_transformation,[],[f350]) ).

fof(f557,plain,
    ssList(sK59),
    inference(cnf_transformation,[],[f350]) ).

fof(f558,plain,
    sK56 = app(sK58,sK59),
    inference(cnf_transformation,[],[f350]) ).

fof(f559,plain,
    sK55 = app(sK59,sK58),
    inference(cnf_transformation,[],[f350]) ).

fof(f560,plain,
    ssItem(sK57),
    inference(cnf_transformation,[],[f350]) ).

fof(f561,plain,
    ( memberP(sK53,sK57)
    | memberP(sK54,sK57) ),
    inference(cnf_transformation,[],[f350]) ).

fof(f562,plain,
    ( ~ memberP(sK53,sK57)
    | ~ memberP(sK54,sK57) ),
    inference(cnf_transformation,[],[f350]) ).

fof(f563,plain,
    ( ~ memberP(sK55,sK57)
    | ~ memberP(sK56,sK57) ),
    inference(definition_unfolding,[],[f562,f555,f554]) ).

fof(f564,plain,
    ( memberP(sK55,sK57)
    | memberP(sK56,sK57) ),
    inference(definition_unfolding,[],[f561,f555,f554]) ).

cnf(c_165,plain,
    ( ~ memberP(X0,X1)
    | ~ ssItem(X1)
    | ~ ssList(X0)
    | ~ ssList(X2)
    | memberP(app(X2,X0),X1) ),
    inference(cnf_transformation,[],[f469]) ).

cnf(c_166,plain,
    ( ~ memberP(X0,X1)
    | ~ ssItem(X1)
    | ~ ssList(X0)
    | ~ ssList(X2)
    | memberP(app(X0,X2),X1) ),
    inference(cnf_transformation,[],[f468]) ).

cnf(c_167,plain,
    ( ~ memberP(app(X0,X1),X2)
    | ~ ssItem(X2)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | memberP(X0,X2)
    | memberP(X1,X2) ),
    inference(cnf_transformation,[],[f467]) ).

cnf(c_246,negated_conjecture,
    ( ~ memberP(sK55,sK57)
    | ~ memberP(sK56,sK57) ),
    inference(cnf_transformation,[],[f563]) ).

cnf(c_247,negated_conjecture,
    ( memberP(sK55,sK57)
    | memberP(sK56,sK57) ),
    inference(cnf_transformation,[],[f564]) ).

cnf(c_248,negated_conjecture,
    ssItem(sK57),
    inference(cnf_transformation,[],[f560]) ).

cnf(c_249,negated_conjecture,
    app(sK59,sK58) = sK55,
    inference(cnf_transformation,[],[f559]) ).

cnf(c_250,negated_conjecture,
    app(sK58,sK59) = sK56,
    inference(cnf_transformation,[],[f558]) ).

cnf(c_251,negated_conjecture,
    ssList(sK59),
    inference(cnf_transformation,[],[f557]) ).

cnf(c_252,negated_conjecture,
    ssList(sK58),
    inference(cnf_transformation,[],[f556]) ).

cnf(c_4085,negated_conjecture,
    app(sK58,sK59) = sK56,
    inference(subtyping,[status(esa)],[c_250]) ).

cnf(c_4086,negated_conjecture,
    app(sK59,sK58) = sK55,
    inference(subtyping,[status(esa)],[c_249]) ).

cnf(c_4154,plain,
    ( ~ memberP(app(X0_13,X1_13),X0_14)
    | ~ ssItem(X0_14)
    | ~ ssList(X0_13)
    | ~ ssList(X1_13)
    | memberP(X0_13,X0_14)
    | memberP(X1_13,X0_14) ),
    inference(subtyping,[status(esa)],[c_167]) ).

cnf(c_4155,plain,
    ( ~ memberP(X0_13,X0_14)
    | ~ ssItem(X0_14)
    | ~ ssList(X0_13)
    | ~ ssList(X1_13)
    | memberP(app(X0_13,X1_13),X0_14) ),
    inference(subtyping,[status(esa)],[c_166]) ).

cnf(c_4156,plain,
    ( ~ memberP(X0_13,X0_14)
    | ~ ssItem(X0_14)
    | ~ ssList(X0_13)
    | ~ ssList(X1_13)
    | memberP(app(X1_13,X0_13),X0_14) ),
    inference(subtyping,[status(esa)],[c_165]) ).

cnf(c_8719,plain,
    ( ~ memberP(sK58,X0_14)
    | ~ ssItem(X0_14)
    | ~ ssList(sK59)
    | ~ ssList(sK58)
    | memberP(sK55,X0_14) ),
    inference(superposition,[status(thm)],[c_4086,c_4156]) ).

cnf(c_8720,plain,
    ( ~ memberP(sK59,X0_14)
    | ~ ssItem(X0_14)
    | ~ ssList(sK59)
    | ~ ssList(sK58)
    | memberP(sK56,X0_14) ),
    inference(superposition,[status(thm)],[c_4085,c_4156]) ).

cnf(c_8741,plain,
    ( ~ memberP(sK59,sK57)
    | ~ ssItem(sK57)
    | ~ ssList(sK59)
    | ~ ssList(sK58)
    | memberP(sK56,sK57) ),
    inference(instantiation,[status(thm)],[c_8720]) ).

cnf(c_8742,plain,
    ( ~ memberP(sK58,sK57)
    | ~ ssItem(sK57)
    | ~ ssList(sK59)
    | ~ ssList(sK58)
    | memberP(sK55,sK57) ),
    inference(instantiation,[status(thm)],[c_8719]) ).

cnf(c_8749,plain,
    ( ~ memberP(sK59,X0_14)
    | ~ ssItem(X0_14)
    | ~ ssList(sK59)
    | ~ ssList(sK58)
    | memberP(sK55,X0_14) ),
    inference(superposition,[status(thm)],[c_4086,c_4155]) ).

cnf(c_8750,plain,
    ( ~ memberP(sK58,X0_14)
    | ~ ssItem(X0_14)
    | ~ ssList(sK59)
    | ~ ssList(sK58)
    | memberP(sK56,X0_14) ),
    inference(superposition,[status(thm)],[c_4085,c_4155]) ).

cnf(c_8771,plain,
    ( ~ memberP(sK58,sK57)
    | ~ ssItem(sK57)
    | ~ ssList(sK59)
    | ~ ssList(sK58)
    | memberP(sK56,sK57) ),
    inference(instantiation,[status(thm)],[c_8750]) ).

cnf(c_8772,plain,
    ( ~ memberP(sK59,sK57)
    | ~ ssItem(sK57)
    | ~ ssList(sK59)
    | ~ ssList(sK58)
    | memberP(sK55,sK57) ),
    inference(instantiation,[status(thm)],[c_8749]) ).

cnf(c_11164,plain,
    ( ~ memberP(sK55,X0_14)
    | ~ ssItem(X0_14)
    | ~ ssList(sK59)
    | ~ ssList(sK58)
    | memberP(sK59,X0_14)
    | memberP(sK58,X0_14) ),
    inference(superposition,[status(thm)],[c_4086,c_4154]) ).

cnf(c_11165,plain,
    ( ~ memberP(sK56,X0_14)
    | ~ ssItem(X0_14)
    | ~ ssList(sK59)
    | ~ ssList(sK58)
    | memberP(sK59,X0_14)
    | memberP(sK58,X0_14) ),
    inference(superposition,[status(thm)],[c_4085,c_4154]) ).

cnf(c_11190,plain,
    ( ~ memberP(sK56,sK57)
    | ~ ssItem(sK57)
    | ~ ssList(sK59)
    | ~ ssList(sK58)
    | memberP(sK59,sK57)
    | memberP(sK58,sK57) ),
    inference(instantiation,[status(thm)],[c_11165]) ).

cnf(c_11191,plain,
    ( ~ memberP(sK55,sK57)
    | ~ ssItem(sK57)
    | ~ ssList(sK59)
    | ~ ssList(sK58)
    | memberP(sK59,sK57)
    | memberP(sK58,sK57) ),
    inference(instantiation,[status(thm)],[c_11164]) ).

cnf(c_11576,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_11191,c_11190,c_8772,c_8771,c_8742,c_8741,c_246,c_247,c_248,c_251,c_252]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWC378+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n027.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Mon Aug 28 16:32:37 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.02/1.16  % SZS status Started for theBenchmark.p
% 4.02/1.16  % SZS status Theorem for theBenchmark.p
% 4.02/1.16  
% 4.02/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.02/1.16  
% 4.02/1.16  ------  iProver source info
% 4.02/1.16  
% 4.02/1.16  git: date: 2023-05-31 18:12:56 +0000
% 4.02/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.02/1.16  git: non_committed_changes: false
% 4.02/1.16  git: last_make_outside_of_git: false
% 4.02/1.16  
% 4.02/1.16  ------ Parsing...
% 4.02/1.16  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 4.02/1.16  
% 4.02/1.16  ------ Preprocessing... sup_sim: 0  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  pe_s  pe_e 
% 4.02/1.16  
% 4.02/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  scvd_s sp: 0 0s scvd_e  snvd_s sp: 0 0s snvd_e 
% 4.02/1.16  
% 4.02/1.16  ------ Preprocessing...
% 4.02/1.16  ------ Proving...
% 4.02/1.16  ------ Problem Properties 
% 4.02/1.16  
% 4.02/1.16  
% 4.02/1.16  clauses                                 189
% 4.02/1.16  conjectures                             9
% 4.02/1.16  EPR                                     56
% 4.02/1.16  Horn                                    120
% 4.02/1.16  unary                                   23
% 4.02/1.16  binary                                  42
% 4.02/1.16  lits                                    629
% 4.02/1.16  lits eq                                 80
% 4.02/1.16  fd_pure                                 0
% 4.02/1.16  fd_pseudo                               0
% 4.02/1.16  fd_cond                                 21
% 4.02/1.16  fd_pseudo_cond                          14
% 4.02/1.16  AC symbols                              0
% 4.02/1.16  
% 4.02/1.16  ------ Input Options Time Limit: Unbounded
% 4.02/1.16  
% 4.02/1.16  
% 4.02/1.16  ------ 
% 4.02/1.16  Current options:
% 4.02/1.16  ------ 
% 4.02/1.16  
% 4.02/1.16  
% 4.02/1.16  
% 4.02/1.16  
% 4.02/1.16  ------ Proving...
% 4.02/1.16  
% 4.02/1.16  
% 4.02/1.16  % SZS status Theorem for theBenchmark.p
% 4.02/1.16  
% 4.02/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.02/1.16  
% 4.02/1.16  
%------------------------------------------------------------------------------