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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : NUM552+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n001.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 02:25:59 PM UTC 2026

% Result   : Theorem 4.25s 1.34s
% Output   : CNFRefutation 4.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   25 (   9 unt;   0 def)
%            Number of atoms       :  297 (  44 equ)
%            Maximal formula atoms :   43 (  11 avg)
%            Number of connectives :  368 (  96   ~;  80   |; 161   &)
%                                         (   0 <=>;  31  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :   71 (   0 sgn  57   !;  14   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f63,axiom,
    ( ~ ( ! [X0] :
            ( ( ( sbrdtbr0(X0) = xk
                & ( aSubsetOf0(X0,xS)
                  | ( ! [X1] :
                        ( aElementOf0(X1,X0)
                       => aElementOf0(X1,xS) )
                    & aSet0(X0) ) ) )
             => aElementOf0(X0,slbdtsldtrb0(xS,xk)) )
            & ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
             => ( sbrdtbr0(X0) = xk
                & aSubsetOf0(X0,xS)
                & ! [X1] :
                    ( aElementOf0(X1,X0)
                   => aElementOf0(X1,xS) )
                & aSet0(X0) ) ) )
       => ( slbdtsldtrb0(xS,xk) = slcrc0
          | ~ ? [X0] : aElementOf0(X0,slbdtsldtrb0(xS,xk)) ) )
    & aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
    & ! [X0] :
        ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
       => aElementOf0(X0,slbdtsldtrb0(xT,xk)) )
    & ! [X0] :
        ( ( ( sbrdtbr0(X0) = xk
            & ( aSubsetOf0(X0,xT)
              | ( ! [X1] :
                    ( aElementOf0(X1,X0)
                   => aElementOf0(X1,xT) )
                & aSet0(X0) ) ) )
         => aElementOf0(X0,slbdtsldtrb0(xT,xk)) )
        & ( aElementOf0(X0,slbdtsldtrb0(xT,xk))
         => ( sbrdtbr0(X0) = xk
            & aSubsetOf0(X0,xT)
            & ! [X1] :
                ( aElementOf0(X1,X0)
               => aElementOf0(X1,xT) )
            & aSet0(X0) ) ) )
    & aSet0(slbdtsldtrb0(xT,xk))
    & ! [X0] :
        ( ( ( sbrdtbr0(X0) = xk
            & ( aSubsetOf0(X0,xS)
              | ( ! [X1] :
                    ( aElementOf0(X1,X0)
                   => aElementOf0(X1,xS) )
                & aSet0(X0) ) ) )
         => aElementOf0(X0,slbdtsldtrb0(xS,xk)) )
        & ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
         => ( sbrdtbr0(X0) = xk
            & aSubsetOf0(X0,xS)
            & ! [X1] :
                ( aElementOf0(X1,X0)
               => aElementOf0(X1,xS) )
            & aSet0(X0) ) ) )
    & aSet0(slbdtsldtrb0(xS,xk)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2227) ).

fof(f65,axiom,
    ( aElementOf0(xQ,slbdtsldtrb0(xS,xk))
    & sbrdtbr0(xQ) = xk
    & aSubsetOf0(xQ,xS)
    & ! [X0] :
        ( aElementOf0(X0,xQ)
       => aElementOf0(X0,xS) )
    & aSet0(xQ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2270) ).

fof(f68,conjecture,
    ( aElementOf0(xx,xQ)
   => aElementOf0(xx,xT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f69,negated_conjecture,
    ~ ( aElementOf0(xx,xQ)
     => aElementOf0(xx,xT) ),
    inference(negated_conjecture,[status(cth)],[f68]) ).

fof(f70,plain,
    ( ~ ( ! [X7] :
            ( ( ( xk = sbrdtbr0(X7)
                & ( aSubsetOf0(X7,xS)
                  | ( ! [X9] :
                        ( aElementOf0(X9,X7)
                       => aElementOf0(X9,xS) )
                    & aSet0(X7) ) ) )
             => aElementOf0(X7,slbdtsldtrb0(xS,xk)) )
            & ( aElementOf0(X7,slbdtsldtrb0(xS,xk))
             => ( xk = sbrdtbr0(X7)
                & aSubsetOf0(X7,xS)
                & ! [X8] :
                    ( aElementOf0(X8,X7)
                   => aElementOf0(X8,xS) )
                & aSet0(X7) ) ) )
       => ( slbdtsldtrb0(xS,xk) = slcrc0
          | ~ ? [X10] : aElementOf0(X10,slbdtsldtrb0(xS,xk)) ) )
    & aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
    & ! [X6] :
        ( aElementOf0(X6,slbdtsldtrb0(xS,xk))
       => aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
    & ! [X3] :
        ( ( ( sbrdtbr0(X3) = xk
            & ( aSubsetOf0(X3,xT)
              | ( ! [X5] :
                    ( aElementOf0(X5,X3)
                   => aElementOf0(X5,xT) )
                & aSet0(X3) ) ) )
         => aElementOf0(X3,slbdtsldtrb0(xT,xk)) )
        & ( aElementOf0(X3,slbdtsldtrb0(xT,xk))
         => ( sbrdtbr0(X3) = xk
            & aSubsetOf0(X3,xT)
            & ! [X4] :
                ( aElementOf0(X4,X3)
               => aElementOf0(X4,xT) )
            & aSet0(X3) ) ) )
    & aSet0(slbdtsldtrb0(xT,xk))
    & ! [X0] :
        ( ( ( sbrdtbr0(X0) = xk
            & ( aSubsetOf0(X0,xS)
              | ( ! [X2] :
                    ( aElementOf0(X2,X0)
                   => aElementOf0(X2,xS) )
                & aSet0(X0) ) ) )
         => aElementOf0(X0,slbdtsldtrb0(xS,xk)) )
        & ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
         => ( sbrdtbr0(X0) = xk
            & aSubsetOf0(X0,xS)
            & ! [X1] :
                ( aElementOf0(X1,X0)
               => aElementOf0(X1,xS) )
            & aSet0(X0) ) ) )
    & aSet0(slbdtsldtrb0(xS,xk)) ),
    inference(rectify,[],[f63]) ).

fof(f76,plain,
    ( ! [X7] :
        ( ( xk != sbrdtbr0(X7)
          | ( ~ aSubsetOf0(X7,xS)
            & ( ? [X9] :
                  ( aElementOf0(X9,X7)
                  & ~ aElementOf0(X9,xS) )
              | ~ aSet0(X7) ) )
          | aElementOf0(X7,slbdtsldtrb0(xS,xk)) )
        & ( ~ aElementOf0(X7,slbdtsldtrb0(xS,xk))
          | ( xk = sbrdtbr0(X7)
            & aSubsetOf0(X7,xS)
            & ! [X8] :
                ( ~ aElementOf0(X8,X7)
                | aElementOf0(X8,xS) )
            & aSet0(X7) ) ) )
    & slcrc0 != slbdtsldtrb0(xS,xk)
    & ? [X10] : aElementOf0(X10,slbdtsldtrb0(xS,xk))
    & aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
    & ! [X6] :
        ( ~ aElementOf0(X6,slbdtsldtrb0(xS,xk))
        | aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
    & ! [X3] :
        ( ( sbrdtbr0(X3) != xk
          | ( ~ aSubsetOf0(X3,xT)
            & ( ? [X5] :
                  ( aElementOf0(X5,X3)
                  & ~ aElementOf0(X5,xT) )
              | ~ aSet0(X3) ) )
          | aElementOf0(X3,slbdtsldtrb0(xT,xk)) )
        & ( ~ aElementOf0(X3,slbdtsldtrb0(xT,xk))
          | ( sbrdtbr0(X3) = xk
            & aSubsetOf0(X3,xT)
            & ! [X4] :
                ( ~ aElementOf0(X4,X3)
                | aElementOf0(X4,xT) )
            & aSet0(X3) ) ) )
    & aSet0(slbdtsldtrb0(xT,xk))
    & ! [X0] :
        ( ( sbrdtbr0(X0) != xk
          | ( ~ aSubsetOf0(X0,xS)
            & ( ? [X2] :
                  ( aElementOf0(X2,X0)
                  & ~ aElementOf0(X2,xS) )
              | ~ aSet0(X0) ) )
          | aElementOf0(X0,slbdtsldtrb0(xS,xk)) )
        & ( ~ aElementOf0(X0,slbdtsldtrb0(xS,xk))
          | ( sbrdtbr0(X0) = xk
            & aSubsetOf0(X0,xS)
            & ! [X1] :
                ( ~ aElementOf0(X1,X0)
                | aElementOf0(X1,xS) )
            & aSet0(X0) ) ) )
    & aSet0(slbdtsldtrb0(xS,xk)) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f77,plain,
    ( ! [X7] :
        ( ( xk != sbrdtbr0(X7)
          | ( ~ aSubsetOf0(X7,xS)
            & ( ? [X9] :
                  ( aElementOf0(X9,X7)
                  & ~ aElementOf0(X9,xS) )
              | ~ aSet0(X7) ) )
          | aElementOf0(X7,slbdtsldtrb0(xS,xk)) )
        & ( ~ aElementOf0(X7,slbdtsldtrb0(xS,xk))
          | ( xk = sbrdtbr0(X7)
            & aSubsetOf0(X7,xS)
            & ! [X8] :
                ( ~ aElementOf0(X8,X7)
                | aElementOf0(X8,xS) )
            & aSet0(X7) ) ) )
    & slcrc0 != slbdtsldtrb0(xS,xk)
    & ? [X10] : aElementOf0(X10,slbdtsldtrb0(xS,xk))
    & aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
    & ! [X6] :
        ( ~ aElementOf0(X6,slbdtsldtrb0(xS,xk))
        | aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
    & ! [X3] :
        ( ( sbrdtbr0(X3) != xk
          | ( ~ aSubsetOf0(X3,xT)
            & ( ? [X5] :
                  ( aElementOf0(X5,X3)
                  & ~ aElementOf0(X5,xT) )
              | ~ aSet0(X3) ) )
          | aElementOf0(X3,slbdtsldtrb0(xT,xk)) )
        & ( ~ aElementOf0(X3,slbdtsldtrb0(xT,xk))
          | ( sbrdtbr0(X3) = xk
            & aSubsetOf0(X3,xT)
            & ! [X4] :
                ( ~ aElementOf0(X4,X3)
                | aElementOf0(X4,xT) )
            & aSet0(X3) ) ) )
    & aSet0(slbdtsldtrb0(xT,xk))
    & ! [X0] :
        ( ( sbrdtbr0(X0) != xk
          | ( ~ aSubsetOf0(X0,xS)
            & ( ? [X2] :
                  ( aElementOf0(X2,X0)
                  & ~ aElementOf0(X2,xS) )
              | ~ aSet0(X0) ) )
          | aElementOf0(X0,slbdtsldtrb0(xS,xk)) )
        & ( ~ aElementOf0(X0,slbdtsldtrb0(xS,xk))
          | ( sbrdtbr0(X0) = xk
            & aSubsetOf0(X0,xS)
            & ! [X1] :
                ( ~ aElementOf0(X1,X0)
                | aElementOf0(X1,xS) )
            & aSet0(X0) ) ) )
    & aSet0(slbdtsldtrb0(xS,xk)) ),
    inference(flattening,[],[f76]) ).

fof(f78,plain,
    ( aElementOf0(xQ,slbdtsldtrb0(xS,xk))
    & sbrdtbr0(xQ) = xk
    & aSubsetOf0(xQ,xS)
    & ! [X0] :
        ( ~ aElementOf0(X0,xQ)
        | aElementOf0(X0,xS) )
    & aSet0(xQ) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f79,plain,
    ( aElementOf0(xx,xQ)
    & ~ aElementOf0(xx,xT) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f161,plain,
    ( ! [X8] :
        ( ( xk != sbrdtbr0(X8)
          | ( ~ aSubsetOf0(X8,xS)
            & ( ? [X10] :
                  ( aElementOf0(X10,X8)
                  & ~ aElementOf0(X10,xS) )
              | ~ aSet0(X8) ) )
          | aElementOf0(X8,slbdtsldtrb0(xS,xk)) )
        & ( ~ aElementOf0(X8,slbdtsldtrb0(xS,xk))
          | ( xk = sbrdtbr0(X8)
            & aSubsetOf0(X8,xS)
            & ! [X9] :
                ( ~ aElementOf0(X9,X8)
                | aElementOf0(X9,xS) )
            & aSet0(X8) ) ) )
    & slcrc0 != slbdtsldtrb0(xS,xk)
    & ? [X7] : aElementOf0(X7,slbdtsldtrb0(xS,xk))
    & aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
    & ! [X6] :
        ( ~ aElementOf0(X6,slbdtsldtrb0(xS,xk))
        | aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
    & ! [X3] :
        ( ( sbrdtbr0(X3) != xk
          | ( ~ aSubsetOf0(X3,xT)
            & ( ? [X5] :
                  ( aElementOf0(X5,X3)
                  & ~ aElementOf0(X5,xT) )
              | ~ aSet0(X3) ) )
          | aElementOf0(X3,slbdtsldtrb0(xT,xk)) )
        & ( ~ aElementOf0(X3,slbdtsldtrb0(xT,xk))
          | ( sbrdtbr0(X3) = xk
            & aSubsetOf0(X3,xT)
            & ! [X4] :
                ( ~ aElementOf0(X4,X3)
                | aElementOf0(X4,xT) )
            & aSet0(X3) ) ) )
    & aSet0(slbdtsldtrb0(xT,xk))
    & ! [X0] :
        ( ( sbrdtbr0(X0) != xk
          | ( ~ aSubsetOf0(X0,xS)
            & ( ? [X2] :
                  ( aElementOf0(X2,X0)
                  & ~ aElementOf0(X2,xS) )
              | ~ aSet0(X0) ) )
          | aElementOf0(X0,slbdtsldtrb0(xS,xk)) )
        & ( ~ aElementOf0(X0,slbdtsldtrb0(xS,xk))
          | ( sbrdtbr0(X0) = xk
            & aSubsetOf0(X0,xS)
            & ! [X1] :
                ( ~ aElementOf0(X1,X0)
                | aElementOf0(X1,xS) )
            & aSet0(X0) ) ) )
    & aSet0(slbdtsldtrb0(xS,xk)) ),
    inference(rectify,[],[f77]) ).

fof(f162,plain,
    ( ! [X8] :
        ( ( xk != sbrdtbr0(X8)
          | ( ~ aSubsetOf0(X8,xS)
            & ( ( aElementOf0(sK7(X8),X8)
                & ~ aElementOf0(sK7(X8),xS) )
              | ~ aSet0(X8) ) )
          | aElementOf0(X8,slbdtsldtrb0(xS,xk)) )
        & ( ~ aElementOf0(X8,slbdtsldtrb0(xS,xk))
          | ( xk = sbrdtbr0(X8)
            & aSubsetOf0(X8,xS)
            & ! [X9] :
                ( ~ aElementOf0(X9,X8)
                | aElementOf0(X9,xS) )
            & aSet0(X8) ) ) )
    & slcrc0 != slbdtsldtrb0(xS,xk)
    & aElementOf0(sK6,slbdtsldtrb0(xS,xk))
    & aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
    & ! [X6] :
        ( ~ aElementOf0(X6,slbdtsldtrb0(xS,xk))
        | aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
    & ! [X3] :
        ( ( sbrdtbr0(X3) != xk
          | ( ~ aSubsetOf0(X3,xT)
            & ( ( aElementOf0(sK5(X3),X3)
                & ~ aElementOf0(sK5(X3),xT) )
              | ~ aSet0(X3) ) )
          | aElementOf0(X3,slbdtsldtrb0(xT,xk)) )
        & ( ~ aElementOf0(X3,slbdtsldtrb0(xT,xk))
          | ( sbrdtbr0(X3) = xk
            & aSubsetOf0(X3,xT)
            & ! [X4] :
                ( ~ aElementOf0(X4,X3)
                | aElementOf0(X4,xT) )
            & aSet0(X3) ) ) )
    & aSet0(slbdtsldtrb0(xT,xk))
    & ! [X0] :
        ( ( sbrdtbr0(X0) != xk
          | ( ~ aSubsetOf0(X0,xS)
            & ( ( aElementOf0(sK4(X0),X0)
                & ~ aElementOf0(sK4(X0),xS) )
              | ~ aSet0(X0) ) )
          | aElementOf0(X0,slbdtsldtrb0(xS,xk)) )
        & ( ~ aElementOf0(X0,slbdtsldtrb0(xS,xk))
          | ( sbrdtbr0(X0) = xk
            & aSubsetOf0(X0,xS)
            & ! [X1] :
                ( ~ aElementOf0(X1,X0)
                | aElementOf0(X1,xS) )
            & aSet0(X0) ) ) )
    & aSet0(slbdtsldtrb0(xS,xk)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7]),skolemize(X2,sK4(X0)),skolemize(X5,sK5(X3)),skolemize(X7,sK6),skolemize(X10,sK7(X8))],[f161]) ).

fof(f214,plain,
    ! [X6] :
      ( ~ aElementOf0(X6,slbdtsldtrb0(xS,xk))
      | aElementOf0(X6,slbdtsldtrb0(xT,xk)) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f220,plain,
    ! [X3,X4] :
      ( ~ aElementOf0(X3,slbdtsldtrb0(xT,xk))
      | ~ aElementOf0(X4,X3)
      | aElementOf0(X4,xT) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f232,plain,
    aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
    inference(cnf_transformation,[],[f78]) ).

fof(f242,plain,
    aElementOf0(xx,xQ),
    inference(cnf_transformation,[],[f79]) ).

fof(f243,plain,
    ~ aElementOf0(xx,xT),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_63,plain,
    ! [X0: $i,X1: $i] :
      ( aElementOf0(X1,xT)
      | ~ aElementOf0(X1,X0)
      | ~ aElementOf0(X0,slbdtsldtrb0(xT,xk)) ),
    inference(cnf_transformation,[],[f220]) ).

tcf(c_69,plain,
    ! [X0: $i] :
      ( aElementOf0(X0,slbdtsldtrb0(xT,xk))
      | ~ aElementOf0(X0,slbdtsldtrb0(xS,xk)) ),
    inference(cnf_transformation,[],[f214]) ).

tcf(c_85,plain,
    aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
    inference(cnf_transformation,[],[f232]) ).

tcf(c_91,negated_conjecture,
    ~ aElementOf0(xx,xT),
    inference(cnf_transformation,[],[f243]) ).

tcf(c_92,negated_conjecture,
    aElementOf0(xx,xQ),
    inference(cnf_transformation,[],[f242]) ).

tcf(c_11462,plain,
    aElementOf0(xQ,slbdtsldtrb0(xT,xk)),
    inference(superposition,[status(thm)],[c_85,c_69]) ).

tcf(c_11549,plain,
    ! [X0: $i] :
      ( aElementOf0(X0,xT)
      | ~ aElementOf0(X0,xQ) ),
    inference(superposition,[status(thm)],[c_11462,c_63]) ).

tcf(c_11585,plain,
    aElementOf0(xx,xT),
    inference(superposition,[status(thm)],[c_92,c_11549]) ).

tcf(c_11587,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_11585,c_91]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM552+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.39  % Computer : n001.cluster.edu
% 0.11/0.39  % Model    : x86_64 x86_64
% 0.11/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39  % Memory   : 8046.5625MB
% 0.11/0.39  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Thu Sep 24 04:40:37 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.43  Running first-order theorem proving
% 0.11/0.43  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.44  
% 0.11/0.44  % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.44  
% 0.11/0.44  % Detected problem language: tptp
% 0.11/0.46  % Proving...
% 4.25/1.34  % SZS status Started for theBenchmark.p
% 4.25/1.34  % SZS status Theorem for theBenchmark.p
% 4.25/1.34  
% 4.25/1.34  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.25/1.34  
% 4.25/1.34  % ------  iProver source info
% 4.25/1.34  
% 4.25/1.34  % git: date: 2026-07-19 20:42:38 +0200
% 4.25/1.34  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.25/1.34  % git: non_committed_changes: false
% 4.25/1.34  
% 4.25/1.34  % ------ Parsing...
% 4.25/1.34  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 4.25/1.34  
% 4.25/1.34  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 4.25/1.34  
% 4.25/1.34  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 4.25/1.34  
% 4.25/1.34  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.25/1.34  % ------ Proving...
% 4.25/1.34  % ------ Problem Properties 
% 4.25/1.34  
% 4.25/1.34  % 
% 4.25/1.34  % clauses                               135
% 4.25/1.34  % conjectures                           2
% 4.25/1.34  % EPR                                   42
% 4.25/1.34  % Horn                                  111
% 4.25/1.34  % unary                                 28
% 4.25/1.34  % binary                                24
% 4.25/1.34  % lits                                  402
% 4.25/1.34  % lits eq                               53
% 4.25/1.34  % fd_pure                               0
% 4.25/1.34  % fd_pseudo                             0
% 4.25/1.34  % fd_cond                               4
% 4.25/1.34  % fd_pseudo_cond                        14
% 4.25/1.34  % AC symbols                            0
% 4.25/1.34  
% 4.25/1.34  % ------ Schedule dynamic 5 is on 
% 4.25/1.34  
% 4.25/1.34  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.25/1.34  
% 4.25/1.34  
% 4.25/1.34  % ------ 
% 4.25/1.34  % Current options:
% 4.25/1.34  % ------ 
% 4.25/1.34  
% 4.25/1.34  
% 4.25/1.34  % 
% 4.25/1.34  
% 4.25/1.34  % ------ Proving...
% 4.25/1.34  % 
% 4.25/1.34  
% 4.25/1.34  % SZS status Theorem for theBenchmark.p
% 4.25/1.34  
% 4.25/1.34  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.25/1.34  
% 4.25/1.34  
%------------------------------------------------------------------------------