TSTP Solution File: NUM501+3 by iProver---3.8

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%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : NUM501+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n015.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 11:30:58 EDT 2023

% Result   : Theorem 9.47s 2.17s
% Output   : CNFRefutation 9.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   70 (  18 unt;   0 def)
%            Number of atoms       :  281 (  76 equ)
%            Maximal formula atoms :   13 (   4 avg)
%            Number of connectives :  352 ( 141   ~; 131   |;  68   &)
%                                         (   3 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :  104 (   0 sgn;  59   !;  15   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => aNaturalNumber0(sdtasdt0(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).

fof(f30,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( doDivides0(X0,X1)
      <=> ? [X2] :
            ( sdtasdt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiv) ).

fof(f32,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( doDivides0(X1,X2)
          & doDivides0(X0,X1) )
       => doDivides0(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivTrans) ).

fof(f39,axiom,
    ( aNaturalNumber0(xp)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xn) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).

fof(f45,axiom,
    ( xk = sdtsldt0(sdtasdt0(xn,xm),xp)
    & sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
    & aNaturalNumber0(xk) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2306) ).

fof(f48,axiom,
    ( isPrime0(xr)
    & ! [X0] :
        ( ( ( doDivides0(X0,xr)
            | ? [X1] :
                ( sdtasdt0(X0,X1) = xr
                & aNaturalNumber0(X1) ) )
          & aNaturalNumber0(X0) )
       => ( xr = X0
          | sz10 = X0 ) )
    & sz10 != xr
    & sz00 != xr
    & doDivides0(xr,xk)
    & ? [X0] :
        ( xk = sdtasdt0(xr,X0)
        & aNaturalNumber0(X0) )
    & aNaturalNumber0(xr) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2342) ).

fof(f49,conjecture,
    ( doDivides0(xr,sdtasdt0(xn,xm))
    | ? [X0] :
        ( sdtasdt0(xn,xm) = sdtasdt0(xr,X0)
        & aNaturalNumber0(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f50,negated_conjecture,
    ~ ( doDivides0(xr,sdtasdt0(xn,xm))
      | ? [X0] :
          ( sdtasdt0(xn,xm) = sdtasdt0(xr,X0)
          & aNaturalNumber0(X0) ) ),
    inference(negated_conjecture,[],[f49]) ).

fof(f56,plain,
    ( isPrime0(xr)
    & ! [X0] :
        ( ( ( doDivides0(X0,xr)
            | ? [X1] :
                ( sdtasdt0(X0,X1) = xr
                & aNaturalNumber0(X1) ) )
          & aNaturalNumber0(X0) )
       => ( xr = X0
          | sz10 = X0 ) )
    & sz10 != xr
    & sz00 != xr
    & doDivides0(xr,xk)
    & ? [X2] :
        ( xk = sdtasdt0(xr,X2)
        & aNaturalNumber0(X2) )
    & aNaturalNumber0(xr) ),
    inference(rectify,[],[f48]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f59]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f66]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( ( doDivides0(X0,X1)
      <=> ? [X2] :
            ( sdtasdt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ( doDivides0(X0,X1)
      <=> ? [X2] :
            ( sdtasdt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f103]) ).

fof(f107,plain,
    ! [X0,X1,X2] :
      ( doDivides0(X0,X2)
      | ~ doDivides0(X1,X2)
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f108,plain,
    ! [X0,X1,X2] :
      ( doDivides0(X0,X2)
      | ~ doDivides0(X1,X2)
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f107]) ).

fof(f128,plain,
    ( isPrime0(xr)
    & ! [X0] :
        ( xr = X0
        | sz10 = X0
        | ( ~ doDivides0(X0,xr)
          & ! [X1] :
              ( sdtasdt0(X0,X1) != xr
              | ~ aNaturalNumber0(X1) ) )
        | ~ aNaturalNumber0(X0) )
    & sz10 != xr
    & sz00 != xr
    & doDivides0(xr,xk)
    & ? [X2] :
        ( xk = sdtasdt0(xr,X2)
        & aNaturalNumber0(X2) )
    & aNaturalNumber0(xr) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f129,plain,
    ( isPrime0(xr)
    & ! [X0] :
        ( xr = X0
        | sz10 = X0
        | ( ~ doDivides0(X0,xr)
          & ! [X1] :
              ( sdtasdt0(X0,X1) != xr
              | ~ aNaturalNumber0(X1) ) )
        | ~ aNaturalNumber0(X0) )
    & sz10 != xr
    & sz00 != xr
    & doDivides0(xr,xk)
    & ? [X2] :
        ( xk = sdtasdt0(xr,X2)
        & aNaturalNumber0(X2) )
    & aNaturalNumber0(xr) ),
    inference(flattening,[],[f128]) ).

fof(f130,plain,
    ( ~ doDivides0(xr,sdtasdt0(xn,xm))
    & ! [X0] :
        ( sdtasdt0(xn,xm) != sdtasdt0(xr,X0)
        | ~ aNaturalNumber0(X0) ) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f140,plain,
    ! [X0,X1] :
      ( ( ( doDivides0(X0,X1)
          | ! [X2] :
              ( sdtasdt0(X0,X2) != X1
              | ~ aNaturalNumber0(X2) ) )
        & ( ? [X2] :
              ( sdtasdt0(X0,X2) = X1
              & aNaturalNumber0(X2) )
          | ~ doDivides0(X0,X1) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(nnf_transformation,[],[f104]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( ( ( doDivides0(X0,X1)
          | ! [X2] :
              ( sdtasdt0(X0,X2) != X1
              | ~ aNaturalNumber0(X2) ) )
        & ( ? [X3] :
              ( sdtasdt0(X0,X3) = X1
              & aNaturalNumber0(X3) )
          | ~ doDivides0(X0,X1) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(rectify,[],[f140]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( sdtasdt0(X0,X3) = X1
          & aNaturalNumber0(X3) )
     => ( sdtasdt0(X0,sK3(X0,X1)) = X1
        & aNaturalNumber0(sK3(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( ( ( doDivides0(X0,X1)
          | ! [X2] :
              ( sdtasdt0(X0,X2) != X1
              | ~ aNaturalNumber0(X2) ) )
        & ( ( sdtasdt0(X0,sK3(X0,X1)) = X1
            & aNaturalNumber0(sK3(X0,X1)) )
          | ~ doDivides0(X0,X1) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f141,f142]) ).

fof(f170,plain,
    ( ? [X2] :
        ( xk = sdtasdt0(xr,X2)
        & aNaturalNumber0(X2) )
   => ( xk = sdtasdt0(xr,sK13)
      & aNaturalNumber0(sK13) ) ),
    introduced(choice_axiom,[]) ).

fof(f171,plain,
    ( isPrime0(xr)
    & ! [X0] :
        ( xr = X0
        | sz10 = X0
        | ( ~ doDivides0(X0,xr)
          & ! [X1] :
              ( sdtasdt0(X0,X1) != xr
              | ~ aNaturalNumber0(X1) ) )
        | ~ aNaturalNumber0(X0) )
    & sz10 != xr
    & sz00 != xr
    & doDivides0(xr,xk)
    & xk = sdtasdt0(xr,sK13)
    & aNaturalNumber0(sK13)
    & aNaturalNumber0(xr) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f129,f170]) ).

fof(f176,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f181,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f221,plain,
    ! [X2,X0,X1] :
      ( doDivides0(X0,X1)
      | sdtasdt0(X0,X2) != X1
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f225,plain,
    ! [X2,X0,X1] :
      ( doDivides0(X0,X2)
      | ~ doDivides0(X1,X2)
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f242,plain,
    aNaturalNumber0(xp),
    inference(cnf_transformation,[],[f39]) ).

fof(f279,plain,
    aNaturalNumber0(xk),
    inference(cnf_transformation,[],[f45]) ).

fof(f280,plain,
    sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
    inference(cnf_transformation,[],[f45]) ).

fof(f286,plain,
    aNaturalNumber0(xr),
    inference(cnf_transformation,[],[f171]) ).

fof(f288,plain,
    xk = sdtasdt0(xr,sK13),
    inference(cnf_transformation,[],[f171]) ).

fof(f289,plain,
    doDivides0(xr,xk),
    inference(cnf_transformation,[],[f171]) ).

fof(f296,plain,
    ~ doDivides0(xr,sdtasdt0(xn,xm)),
    inference(cnf_transformation,[],[f130]) ).

fof(f303,plain,
    ! [X2,X0] :
      ( doDivides0(X0,sdtasdt0(X0,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(sdtasdt0(X0,X2))
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f221]) ).

cnf(c_53,plain,
    ( ~ aNaturalNumber0(X0)
    | ~ aNaturalNumber0(X1)
    | aNaturalNumber0(sdtasdt0(X0,X1)) ),
    inference(cnf_transformation,[],[f176]) ).

cnf(c_58,plain,
    ( ~ aNaturalNumber0(X0)
    | ~ aNaturalNumber0(X1)
    | sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
    inference(cnf_transformation,[],[f181]) ).

cnf(c_95,plain,
    ( ~ aNaturalNumber0(sdtasdt0(X0,X1))
    | ~ aNaturalNumber0(X0)
    | ~ aNaturalNumber0(X1)
    | doDivides0(X0,sdtasdt0(X0,X1)) ),
    inference(cnf_transformation,[],[f303]) ).

cnf(c_101,plain,
    ( ~ doDivides0(X0,X1)
    | ~ doDivides0(X1,X2)
    | ~ aNaturalNumber0(X0)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | doDivides0(X0,X2) ),
    inference(cnf_transformation,[],[f225]) ).

cnf(c_116,plain,
    aNaturalNumber0(xp),
    inference(cnf_transformation,[],[f242]) ).

cnf(c_156,plain,
    sdtasdt0(xp,xk) = sdtasdt0(xn,xm),
    inference(cnf_transformation,[],[f280]) ).

cnf(c_157,plain,
    aNaturalNumber0(xk),
    inference(cnf_transformation,[],[f279]) ).

cnf(c_167,plain,
    doDivides0(xr,xk),
    inference(cnf_transformation,[],[f289]) ).

cnf(c_168,plain,
    sdtasdt0(xr,sK13) = xk,
    inference(cnf_transformation,[],[f288]) ).

cnf(c_170,plain,
    aNaturalNumber0(xr),
    inference(cnf_transformation,[],[f286]) ).

cnf(c_171,negated_conjecture,
    ~ doDivides0(xr,sdtasdt0(xn,xm)),
    inference(cnf_transformation,[],[f296]) ).

cnf(c_243,plain,
    ( ~ aNaturalNumber0(X0)
    | ~ aNaturalNumber0(X1)
    | doDivides0(X0,sdtasdt0(X0,X1)) ),
    inference(global_subsumption_just,[status(thm)],[c_95,c_53,c_95]) ).

cnf(c_7623,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_7626,plain,
    ( X0 != X1
    | ~ aNaturalNumber0(X1)
    | aNaturalNumber0(X0) ),
    theory(equality) ).

cnf(c_7632,plain,
    ( X0 != X1
    | X2 != X3
    | ~ doDivides0(X1,X3)
    | doDivides0(X0,X2) ),
    theory(equality) ).

cnf(c_9428,plain,
    ( ~ doDivides0(X0,X1)
    | ~ doDivides0(xr,X0)
    | ~ aNaturalNumber0(X0)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(xr)
    | doDivides0(xr,X1) ),
    inference(instantiation,[status(thm)],[c_101]) ).

cnf(c_9453,plain,
    ( ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xk)
    | aNaturalNumber0(sdtasdt0(xp,xk)) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_9550,plain,
    ( ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xk)
    | sdtasdt0(xp,xk) = sdtasdt0(xk,xp) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_9578,plain,
    xr = xr,
    inference(instantiation,[status(thm)],[c_7623]) ).

cnf(c_10064,plain,
    ( X0 != X1
    | X2 != sdtasdt0(X1,X3)
    | ~ doDivides0(X1,sdtasdt0(X1,X3))
    | doDivides0(X0,X2) ),
    inference(instantiation,[status(thm)],[c_7632]) ).

cnf(c_10067,plain,
    ( X0 != xr
    | X1 != xk
    | ~ doDivides0(xr,xk)
    | doDivides0(X0,X1) ),
    inference(instantiation,[status(thm)],[c_7632]) ).

cnf(c_10069,plain,
    ( ~ doDivides0(sdtasdt0(xr,X0),X1)
    | ~ doDivides0(xr,sdtasdt0(xr,X0))
    | ~ aNaturalNumber0(sdtasdt0(xr,X0))
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(xr)
    | doDivides0(xr,X1) ),
    inference(instantiation,[status(thm)],[c_9428]) ).

cnf(c_10538,plain,
    ~ doDivides0(xr,sdtasdt0(xp,xk)),
    inference(superposition,[status(thm)],[c_156,c_171]) ).

cnf(c_12250,plain,
    ( ~ aNaturalNumber0(xk)
    | aNaturalNumber0(sdtasdt0(xr,sK13)) ),
    inference(resolution,[status(thm)],[c_7626,c_168]) ).

cnf(c_12903,plain,
    ( sdtasdt0(xp,xk) != sdtasdt0(xk,xp)
    | X0 != xk
    | ~ doDivides0(xk,sdtasdt0(xk,xp))
    | doDivides0(X0,sdtasdt0(xp,xk)) ),
    inference(instantiation,[status(thm)],[c_10064]) ).

cnf(c_13452,plain,
    ( sdtasdt0(xr,sK13) != xk
    | X0 != xr
    | ~ doDivides0(xr,xk)
    | doDivides0(X0,sdtasdt0(xr,sK13)) ),
    inference(instantiation,[status(thm)],[c_10067]) ).

cnf(c_18210,plain,
    ( sdtasdt0(xp,xk) != sdtasdt0(xk,xp)
    | sdtasdt0(xr,sK13) != xk
    | ~ doDivides0(xk,sdtasdt0(xk,xp))
    | doDivides0(sdtasdt0(xr,sK13),sdtasdt0(xp,xk)) ),
    inference(instantiation,[status(thm)],[c_12903]) ).

cnf(c_21230,plain,
    ( ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xk)
    | doDivides0(xk,sdtasdt0(xk,xp)) ),
    inference(instantiation,[status(thm)],[c_243]) ).

cnf(c_21733,plain,
    ( sdtasdt0(xr,sK13) != xk
    | xr != xr
    | ~ doDivides0(xr,xk)
    | doDivides0(xr,sdtasdt0(xr,sK13)) ),
    inference(instantiation,[status(thm)],[c_13452]) ).

cnf(c_26749,plain,
    ( ~ doDivides0(sdtasdt0(xr,sK13),sdtasdt0(xp,xk))
    | ~ doDivides0(xr,sdtasdt0(xr,sK13))
    | ~ aNaturalNumber0(sdtasdt0(xp,xk))
    | ~ aNaturalNumber0(sdtasdt0(xr,sK13))
    | ~ aNaturalNumber0(xr)
    | doDivides0(xr,sdtasdt0(xp,xk)) ),
    inference(instantiation,[status(thm)],[c_10069]) ).

cnf(c_26750,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_26749,c_21733,c_21230,c_18210,c_12250,c_10538,c_9578,c_9550,c_9453,c_168,c_167,c_116,c_157,c_170]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM501+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n015.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri Aug 25 18:05:22 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 9.47/2.17  % SZS status Started for theBenchmark.p
% 9.47/2.17  % SZS status Theorem for theBenchmark.p
% 9.47/2.17  
% 9.47/2.17  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 9.47/2.17  
% 9.47/2.17  ------  iProver source info
% 9.47/2.17  
% 9.47/2.17  git: date: 2023-05-31 18:12:56 +0000
% 9.47/2.17  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 9.47/2.17  git: non_committed_changes: false
% 9.47/2.17  git: last_make_outside_of_git: false
% 9.47/2.17  
% 9.47/2.17  ------ Parsing...
% 9.47/2.17  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 9.47/2.17  
% 9.47/2.17  ------ Preprocessing... sup_sim: 3  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 9.47/2.17  
% 9.47/2.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 9.47/2.17  
% 9.47/2.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 9.47/2.17  ------ Proving...
% 9.47/2.17  ------ Problem Properties 
% 9.47/2.17  
% 9.47/2.17  
% 9.47/2.17  clauses                                 117
% 9.47/2.17  conjectures                             1
% 9.47/2.17  EPR                                     42
% 9.47/2.17  Horn                                    77
% 9.47/2.17  unary                                   37
% 9.47/2.17  binary                                  14
% 9.47/2.17  lits                                    389
% 9.47/2.17  lits eq                                 119
% 9.47/2.17  fd_pure                                 0
% 9.47/2.17  fd_pseudo                               0
% 9.47/2.17  fd_cond                                 24
% 9.47/2.17  fd_pseudo_cond                          11
% 9.47/2.17  AC symbols                              0
% 9.47/2.17  
% 9.47/2.17  ------ Input Options Time Limit: Unbounded
% 9.47/2.17  
% 9.47/2.17  
% 9.47/2.17  ------ 
% 9.47/2.17  Current options:
% 9.47/2.17  ------ 
% 9.47/2.17  
% 9.47/2.17  
% 9.47/2.17  
% 9.47/2.17  
% 9.47/2.17  ------ Proving...
% 9.47/2.17  
% 9.47/2.17  
% 9.47/2.17  % SZS status Theorem for theBenchmark.p
% 9.47/2.17  
% 9.47/2.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.47/2.17  
% 9.47/2.18  
%------------------------------------------------------------------------------