TSTP Solution File: RNG114+4 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : RNG114+4 : TPTP v8.1.2. Released v4.0.0.
% 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 : Fri May  3 02:57:43 EDT 2024

% Result   : Theorem 10.09s 2.13s
% Output   : CNFRefutation 10.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   43 (  11 unt;   0 def)
%            Number of atoms       :  265 (  78 equ)
%            Maximal formula atoms :   28 (   6 avg)
%            Number of connectives :  316 (  94   ~;  76   |; 125   &)
%                                         (   9 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   7 con; 0-2 aty)
%            Number of variables   :  122 (   0 sgn  70   !;  42   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f42,axiom,
    ( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
    & ! [X0] :
        ( aElementOf0(X0,xI)
      <=> ? [X1,X2] :
            ( sdtpldt0(X1,X2) = X0
            & aElementOf0(X2,slsdtgt0(xb))
            & aElementOf0(X1,slsdtgt0(xa)) ) )
    & ! [X0] :
        ( aElementOf0(X0,slsdtgt0(xb))
      <=> ? [X1] :
            ( sdtasdt0(xb,X1) = X0
            & aElement0(X1) ) )
    & ! [X0] :
        ( aElementOf0(X0,slsdtgt0(xa))
      <=> ? [X1] :
            ( sdtasdt0(xa,X1) = X0
            & aElement0(X1) ) )
    & aIdeal0(xI)
    & ! [X0] :
        ( aElementOf0(X0,xI)
       => ( ! [X1] :
              ( aElement0(X1)
             => aElementOf0(sdtasdt0(X1,X0),xI) )
          & ! [X1] :
              ( aElementOf0(X1,xI)
             => aElementOf0(sdtpldt0(X0,X1),xI) ) ) )
    & aSet0(xI) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2174) ).

fof(f45,axiom,
    ( ! [X0] :
        ( ( sz00 != X0
          & ( aElementOf0(X0,xI)
            | ? [X1,X2] :
                ( sdtpldt0(X1,X2) = X0
                & aElementOf0(X2,slsdtgt0(xb))
                & aElementOf0(X1,slsdtgt0(xa)) ) ) )
       => ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
    & sz00 != xu
    & aElementOf0(xu,xI)
    & ? [X0,X1] :
        ( sdtpldt0(X0,X1) = xu
        & aElementOf0(X1,slsdtgt0(xb))
        & aElementOf0(X0,slsdtgt0(xa)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2273) ).

fof(f47,conjecture,
    ? [X0,X1] :
      ( xu = sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1))
      & aElement0(X1)
      & aElement0(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f48,negated_conjecture,
    ~ ? [X0,X1] :
        ( xu = sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1))
        & aElement0(X1)
        & aElement0(X0) ),
    inference(negated_conjecture,[],[f47]) ).

fof(f57,plain,
    ( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
    & ! [X0] :
        ( aElementOf0(X0,xI)
      <=> ? [X1,X2] :
            ( sdtpldt0(X1,X2) = X0
            & aElementOf0(X2,slsdtgt0(xb))
            & aElementOf0(X1,slsdtgt0(xa)) ) )
    & ! [X3] :
        ( aElementOf0(X3,slsdtgt0(xb))
      <=> ? [X4] :
            ( sdtasdt0(xb,X4) = X3
            & aElement0(X4) ) )
    & ! [X5] :
        ( aElementOf0(X5,slsdtgt0(xa))
      <=> ? [X6] :
            ( sdtasdt0(xa,X6) = X5
            & aElement0(X6) ) )
    & aIdeal0(xI)
    & ! [X7] :
        ( aElementOf0(X7,xI)
       => ( ! [X8] :
              ( aElement0(X8)
             => aElementOf0(sdtasdt0(X8,X7),xI) )
          & ! [X9] :
              ( aElementOf0(X9,xI)
             => aElementOf0(sdtpldt0(X7,X9),xI) ) ) )
    & aSet0(xI) ),
    inference(rectify,[],[f42]) ).

fof(f60,plain,
    ( ! [X0] :
        ( ( sz00 != X0
          & ( aElementOf0(X0,xI)
            | ? [X1,X2] :
                ( sdtpldt0(X1,X2) = X0
                & aElementOf0(X2,slsdtgt0(xb))
                & aElementOf0(X1,slsdtgt0(xa)) ) ) )
       => ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
    & sz00 != xu
    & aElementOf0(xu,xI)
    & ? [X3,X4] :
        ( xu = sdtpldt0(X3,X4)
        & aElementOf0(X4,slsdtgt0(xb))
        & aElementOf0(X3,slsdtgt0(xa)) ) ),
    inference(rectify,[],[f45]) ).

fof(f114,plain,
    ( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
    & ! [X0] :
        ( aElementOf0(X0,xI)
      <=> ? [X1,X2] :
            ( sdtpldt0(X1,X2) = X0
            & aElementOf0(X2,slsdtgt0(xb))
            & aElementOf0(X1,slsdtgt0(xa)) ) )
    & ! [X3] :
        ( aElementOf0(X3,slsdtgt0(xb))
      <=> ? [X4] :
            ( sdtasdt0(xb,X4) = X3
            & aElement0(X4) ) )
    & ! [X5] :
        ( aElementOf0(X5,slsdtgt0(xa))
      <=> ? [X6] :
            ( sdtasdt0(xa,X6) = X5
            & aElement0(X6) ) )
    & aIdeal0(xI)
    & ! [X7] :
        ( ( ! [X8] :
              ( aElementOf0(sdtasdt0(X8,X7),xI)
              | ~ aElement0(X8) )
          & ! [X9] :
              ( aElementOf0(sdtpldt0(X7,X9),xI)
              | ~ aElementOf0(X9,xI) ) )
        | ~ aElementOf0(X7,xI) )
    & aSet0(xI) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f115,plain,
    ( ! [X0] :
        ( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
        | sz00 = X0
        | ( ~ aElementOf0(X0,xI)
          & ! [X1,X2] :
              ( sdtpldt0(X1,X2) != X0
              | ~ aElementOf0(X2,slsdtgt0(xb))
              | ~ aElementOf0(X1,slsdtgt0(xa)) ) ) )
    & sz00 != xu
    & aElementOf0(xu,xI)
    & ? [X3,X4] :
        ( xu = sdtpldt0(X3,X4)
        & aElementOf0(X4,slsdtgt0(xb))
        & aElementOf0(X3,slsdtgt0(xa)) ) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f116,plain,
    ( ! [X0] :
        ( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
        | sz00 = X0
        | ( ~ aElementOf0(X0,xI)
          & ! [X1,X2] :
              ( sdtpldt0(X1,X2) != X0
              | ~ aElementOf0(X2,slsdtgt0(xb))
              | ~ aElementOf0(X1,slsdtgt0(xa)) ) ) )
    & sz00 != xu
    & aElementOf0(xu,xI)
    & ? [X3,X4] :
        ( xu = sdtpldt0(X3,X4)
        & aElementOf0(X4,slsdtgt0(xb))
        & aElementOf0(X3,slsdtgt0(xa)) ) ),
    inference(flattening,[],[f115]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( xu != sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1))
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f184,plain,
    ( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
    & ! [X0] :
        ( ( aElementOf0(X0,xI)
          | ! [X1,X2] :
              ( sdtpldt0(X1,X2) != X0
              | ~ aElementOf0(X2,slsdtgt0(xb))
              | ~ aElementOf0(X1,slsdtgt0(xa)) ) )
        & ( ? [X1,X2] :
              ( sdtpldt0(X1,X2) = X0
              & aElementOf0(X2,slsdtgt0(xb))
              & aElementOf0(X1,slsdtgt0(xa)) )
          | ~ aElementOf0(X0,xI) ) )
    & ! [X3] :
        ( ( aElementOf0(X3,slsdtgt0(xb))
          | ! [X4] :
              ( sdtasdt0(xb,X4) != X3
              | ~ aElement0(X4) ) )
        & ( ? [X4] :
              ( sdtasdt0(xb,X4) = X3
              & aElement0(X4) )
          | ~ aElementOf0(X3,slsdtgt0(xb)) ) )
    & ! [X5] :
        ( ( aElementOf0(X5,slsdtgt0(xa))
          | ! [X6] :
              ( sdtasdt0(xa,X6) != X5
              | ~ aElement0(X6) ) )
        & ( ? [X6] :
              ( sdtasdt0(xa,X6) = X5
              & aElement0(X6) )
          | ~ aElementOf0(X5,slsdtgt0(xa)) ) )
    & aIdeal0(xI)
    & ! [X7] :
        ( ( ! [X8] :
              ( aElementOf0(sdtasdt0(X8,X7),xI)
              | ~ aElement0(X8) )
          & ! [X9] :
              ( aElementOf0(sdtpldt0(X7,X9),xI)
              | ~ aElementOf0(X9,xI) ) )
        | ~ aElementOf0(X7,xI) )
    & aSet0(xI) ),
    inference(nnf_transformation,[],[f114]) ).

fof(f185,plain,
    ( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
    & ! [X0] :
        ( ( aElementOf0(X0,xI)
          | ! [X1,X2] :
              ( sdtpldt0(X1,X2) != X0
              | ~ aElementOf0(X2,slsdtgt0(xb))
              | ~ aElementOf0(X1,slsdtgt0(xa)) ) )
        & ( ? [X3,X4] :
              ( sdtpldt0(X3,X4) = X0
              & aElementOf0(X4,slsdtgt0(xb))
              & aElementOf0(X3,slsdtgt0(xa)) )
          | ~ aElementOf0(X0,xI) ) )
    & ! [X5] :
        ( ( aElementOf0(X5,slsdtgt0(xb))
          | ! [X6] :
              ( sdtasdt0(xb,X6) != X5
              | ~ aElement0(X6) ) )
        & ( ? [X7] :
              ( sdtasdt0(xb,X7) = X5
              & aElement0(X7) )
          | ~ aElementOf0(X5,slsdtgt0(xb)) ) )
    & ! [X8] :
        ( ( aElementOf0(X8,slsdtgt0(xa))
          | ! [X9] :
              ( sdtasdt0(xa,X9) != X8
              | ~ aElement0(X9) ) )
        & ( ? [X10] :
              ( sdtasdt0(xa,X10) = X8
              & aElement0(X10) )
          | ~ aElementOf0(X8,slsdtgt0(xa)) ) )
    & aIdeal0(xI)
    & ! [X11] :
        ( ( ! [X12] :
              ( aElementOf0(sdtasdt0(X12,X11),xI)
              | ~ aElement0(X12) )
          & ! [X13] :
              ( aElementOf0(sdtpldt0(X11,X13),xI)
              | ~ aElementOf0(X13,xI) ) )
        | ~ aElementOf0(X11,xI) )
    & aSet0(xI) ),
    inference(rectify,[],[f184]) ).

fof(f186,plain,
    ! [X0] :
      ( ? [X3,X4] :
          ( sdtpldt0(X3,X4) = X0
          & aElementOf0(X4,slsdtgt0(xb))
          & aElementOf0(X3,slsdtgt0(xa)) )
     => ( sdtpldt0(sK28(X0),sK29(X0)) = X0
        & aElementOf0(sK29(X0),slsdtgt0(xb))
        & aElementOf0(sK28(X0),slsdtgt0(xa)) ) ),
    introduced(choice_axiom,[]) ).

fof(f187,plain,
    ! [X5] :
      ( ? [X7] :
          ( sdtasdt0(xb,X7) = X5
          & aElement0(X7) )
     => ( sdtasdt0(xb,sK30(X5)) = X5
        & aElement0(sK30(X5)) ) ),
    introduced(choice_axiom,[]) ).

fof(f188,plain,
    ! [X8] :
      ( ? [X10] :
          ( sdtasdt0(xa,X10) = X8
          & aElement0(X10) )
     => ( sdtasdt0(xa,sK31(X8)) = X8
        & aElement0(sK31(X8)) ) ),
    introduced(choice_axiom,[]) ).

fof(f189,plain,
    ( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
    & ! [X0] :
        ( ( aElementOf0(X0,xI)
          | ! [X1,X2] :
              ( sdtpldt0(X1,X2) != X0
              | ~ aElementOf0(X2,slsdtgt0(xb))
              | ~ aElementOf0(X1,slsdtgt0(xa)) ) )
        & ( ( sdtpldt0(sK28(X0),sK29(X0)) = X0
            & aElementOf0(sK29(X0),slsdtgt0(xb))
            & aElementOf0(sK28(X0),slsdtgt0(xa)) )
          | ~ aElementOf0(X0,xI) ) )
    & ! [X5] :
        ( ( aElementOf0(X5,slsdtgt0(xb))
          | ! [X6] :
              ( sdtasdt0(xb,X6) != X5
              | ~ aElement0(X6) ) )
        & ( ( sdtasdt0(xb,sK30(X5)) = X5
            & aElement0(sK30(X5)) )
          | ~ aElementOf0(X5,slsdtgt0(xb)) ) )
    & ! [X8] :
        ( ( aElementOf0(X8,slsdtgt0(xa))
          | ! [X9] :
              ( sdtasdt0(xa,X9) != X8
              | ~ aElement0(X9) ) )
        & ( ( sdtasdt0(xa,sK31(X8)) = X8
            & aElement0(sK31(X8)) )
          | ~ aElementOf0(X8,slsdtgt0(xa)) ) )
    & aIdeal0(xI)
    & ! [X11] :
        ( ( ! [X12] :
              ( aElementOf0(sdtasdt0(X12,X11),xI)
              | ~ aElement0(X12) )
          & ! [X13] :
              ( aElementOf0(sdtpldt0(X11,X13),xI)
              | ~ aElementOf0(X13,xI) ) )
        | ~ aElementOf0(X11,xI) )
    & aSet0(xI) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29,sK30,sK31])],[f185,f188,f187,f186]) ).

fof(f202,plain,
    ( ? [X3,X4] :
        ( xu = sdtpldt0(X3,X4)
        & aElementOf0(X4,slsdtgt0(xb))
        & aElementOf0(X3,slsdtgt0(xa)) )
   => ( xu = sdtpldt0(sK41,sK42)
      & aElementOf0(sK42,slsdtgt0(xb))
      & aElementOf0(sK41,slsdtgt0(xa)) ) ),
    introduced(choice_axiom,[]) ).

fof(f203,plain,
    ( ! [X0] :
        ( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
        | sz00 = X0
        | ( ~ aElementOf0(X0,xI)
          & ! [X1,X2] :
              ( sdtpldt0(X1,X2) != X0
              | ~ aElementOf0(X2,slsdtgt0(xb))
              | ~ aElementOf0(X1,slsdtgt0(xa)) ) ) )
    & sz00 != xu
    & aElementOf0(xu,xI)
    & xu = sdtpldt0(sK41,sK42)
    & aElementOf0(sK42,slsdtgt0(xb))
    & aElementOf0(sK41,slsdtgt0(xa)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK41,sK42])],[f116,f202]) ).

fof(f324,plain,
    ! [X8] :
      ( aElement0(sK31(X8))
      | ~ aElementOf0(X8,slsdtgt0(xa)) ),
    inference(cnf_transformation,[],[f189]) ).

fof(f325,plain,
    ! [X8] :
      ( sdtasdt0(xa,sK31(X8)) = X8
      | ~ aElementOf0(X8,slsdtgt0(xa)) ),
    inference(cnf_transformation,[],[f189]) ).

fof(f327,plain,
    ! [X5] :
      ( aElement0(sK30(X5))
      | ~ aElementOf0(X5,slsdtgt0(xb)) ),
    inference(cnf_transformation,[],[f189]) ).

fof(f328,plain,
    ! [X5] :
      ( sdtasdt0(xb,sK30(X5)) = X5
      | ~ aElementOf0(X5,slsdtgt0(xb)) ),
    inference(cnf_transformation,[],[f189]) ).

fof(f358,plain,
    aElementOf0(sK41,slsdtgt0(xa)),
    inference(cnf_transformation,[],[f203]) ).

fof(f359,plain,
    aElementOf0(sK42,slsdtgt0(xb)),
    inference(cnf_transformation,[],[f203]) ).

fof(f360,plain,
    xu = sdtpldt0(sK41,sK42),
    inference(cnf_transformation,[],[f203]) ).

fof(f371,plain,
    ! [X0,X1] :
      ( xu != sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1))
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f118]) ).

cnf(c_169,plain,
    ( ~ aElementOf0(X0,slsdtgt0(xb))
    | sdtasdt0(xb,sK30(X0)) = X0 ),
    inference(cnf_transformation,[],[f328]) ).

cnf(c_170,plain,
    ( ~ aElementOf0(X0,slsdtgt0(xb))
    | aElement0(sK30(X0)) ),
    inference(cnf_transformation,[],[f327]) ).

cnf(c_172,plain,
    ( ~ aElementOf0(X0,slsdtgt0(xa))
    | sdtasdt0(xa,sK31(X0)) = X0 ),
    inference(cnf_transformation,[],[f325]) ).

cnf(c_173,plain,
    ( ~ aElementOf0(X0,slsdtgt0(xa))
    | aElement0(sK31(X0)) ),
    inference(cnf_transformation,[],[f324]) ).

cnf(c_205,plain,
    sdtpldt0(sK41,sK42) = xu,
    inference(cnf_transformation,[],[f360]) ).

cnf(c_206,plain,
    aElementOf0(sK42,slsdtgt0(xb)),
    inference(cnf_transformation,[],[f359]) ).

cnf(c_207,plain,
    aElementOf0(sK41,slsdtgt0(xa)),
    inference(cnf_transformation,[],[f358]) ).

cnf(c_214,negated_conjecture,
    ( sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1)) != xu
    | ~ aElement0(X0)
    | ~ aElement0(X1) ),
    inference(cnf_transformation,[],[f371]) ).

cnf(c_7925,negated_conjecture,
    ( sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1)) != xu
    | ~ aElement0(X0)
    | ~ aElement0(X1) ),
    inference(demodulation,[status(thm)],[c_214]) ).

cnf(c_10085,plain,
    aElement0(sK30(sK42)),
    inference(superposition,[status(thm)],[c_206,c_170]) ).

cnf(c_10093,plain,
    aElement0(sK31(sK41)),
    inference(superposition,[status(thm)],[c_207,c_173]) ).

cnf(c_11630,plain,
    sdtasdt0(xb,sK30(sK42)) = sK42,
    inference(superposition,[status(thm)],[c_206,c_169]) ).

cnf(c_11657,plain,
    sdtasdt0(xa,sK31(sK41)) = sK41,
    inference(superposition,[status(thm)],[c_207,c_172]) ).

cnf(c_29512,plain,
    ( sdtpldt0(sdtasdt0(xa,X0),sK42) != xu
    | ~ aElement0(sK30(sK42))
    | ~ aElement0(X0) ),
    inference(superposition,[status(thm)],[c_11630,c_7925]) ).

cnf(c_29524,plain,
    ( sdtpldt0(sdtasdt0(xa,X0),sK42) != xu
    | ~ aElement0(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_29512,c_10085]) ).

cnf(c_29958,plain,
    ( sdtpldt0(sK41,sK42) != xu
    | ~ aElement0(sK31(sK41)) ),
    inference(superposition,[status(thm)],[c_11657,c_29524]) ).

cnf(c_29969,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_29958,c_10093,c_205]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : RNG114+4 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.32  % Computer : n012.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Thu May  2 21:13:10 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  Running first-order theorem proving
% 0.18/0.44  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 10.09/2.13  % SZS status Started for theBenchmark.p
% 10.09/2.13  % SZS status Theorem for theBenchmark.p
% 10.09/2.13  
% 10.09/2.13  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 10.09/2.13  
% 10.09/2.13  ------  iProver source info
% 10.09/2.13  
% 10.09/2.13  git: date: 2024-05-02 19:28:25 +0000
% 10.09/2.13  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 10.09/2.13  git: non_committed_changes: false
% 10.09/2.13  
% 10.09/2.13  ------ Parsing...
% 10.09/2.13  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 10.09/2.13  
% 10.09/2.13  ------ Preprocessing... sup_sim: 1  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 10.09/2.13  
% 10.09/2.13  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 10.09/2.13  
% 10.09/2.13  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 10.09/2.13  ------ Proving...
% 10.09/2.13  ------ Problem Properties 
% 10.09/2.13  
% 10.09/2.13  
% 10.09/2.13  clauses                                 158
% 10.09/2.13  conjectures                             1
% 10.09/2.13  EPR                                     42
% 10.09/2.13  Horn                                    131
% 10.09/2.13  unary                                   40
% 10.09/2.13  binary                                  36
% 10.09/2.13  lits                                    449
% 10.09/2.13  lits eq                                 70
% 10.09/2.13  fd_pure                                 0
% 10.09/2.13  fd_pseudo                               0
% 10.09/2.13  fd_cond                                 5
% 10.09/2.13  fd_pseudo_cond                          11
% 10.09/2.13  AC symbols                              0
% 10.09/2.13  
% 10.09/2.13  ------ Schedule dynamic 5 is on 
% 10.09/2.13  
% 10.09/2.13  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.09/2.13  
% 10.09/2.13  
% 10.09/2.13  ------ 
% 10.09/2.13  Current options:
% 10.09/2.13  ------ 
% 10.09/2.13  
% 10.09/2.13  
% 10.09/2.13  
% 10.09/2.13  
% 10.09/2.13  ------ Proving...
% 10.09/2.13  
% 10.09/2.13  
% 10.09/2.13  % SZS status Theorem for theBenchmark.p
% 10.09/2.13  
% 10.09/2.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.09/2.13  
% 10.09/2.14  
%------------------------------------------------------------------------------