TSTP Solution File: NUM552+3 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : NUM552+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n014.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 02:49:54 EDT 2024

% Result   : Theorem 3.79s 1.12s
% Output   : CNFRefutation 3.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   31 (  11 unt;   0 def)
%            Number of atoms       :  313 (  44 equ)
%            Maximal formula atoms :   43 (  10 avg)
%            Number of connectives :  385 ( 103   ~;  80   |; 167   &)
%                                         (   0 <=>;  35  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            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   :   78 (   0 sgn  56   !;  18   ?)

% 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) ) ) )
       => ( slcrc0 = slbdtsldtrb0(xS,xk)
          | ~ ? [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/sandbox2/benchmark/theBenchmark.p',m__2227) ).

fof(f65,axiom,
    ( aElementOf0(xQ,slbdtsldtrb0(xS,xk))
    & xk = sbrdtbr0(xQ)
    & aSubsetOf0(xQ,xS)
    & ! [X0] :
        ( aElementOf0(X0,xQ)
       => aElementOf0(X0,xS) )
    & aSet0(xQ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2270) ).

fof(f68,conjecture,
    ( aElementOf0(xx,xQ)
   => aElementOf0(xx,xT) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

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

fof(f76,plain,
    ( ~ ( ! [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)
                & ! [X2] :
                    ( aElementOf0(X2,X0)
                   => aElementOf0(X2,xS) )
                & aSet0(X0) ) ) )
       => ( slcrc0 = slbdtsldtrb0(xS,xk)
          | ~ ? [X3] : aElementOf0(X3,slbdtsldtrb0(xS,xk)) ) )
    & aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
    & ! [X4] :
        ( aElementOf0(X4,slbdtsldtrb0(xS,xk))
       => aElementOf0(X4,slbdtsldtrb0(xT,xk)) )
    & ! [X5] :
        ( ( ( xk = sbrdtbr0(X5)
            & ( aSubsetOf0(X5,xT)
              | ( ! [X6] :
                    ( aElementOf0(X6,X5)
                   => aElementOf0(X6,xT) )
                & aSet0(X5) ) ) )
         => aElementOf0(X5,slbdtsldtrb0(xT,xk)) )
        & ( aElementOf0(X5,slbdtsldtrb0(xT,xk))
         => ( xk = sbrdtbr0(X5)
            & aSubsetOf0(X5,xT)
            & ! [X7] :
                ( aElementOf0(X7,X5)
               => aElementOf0(X7,xT) )
            & aSet0(X5) ) ) )
    & aSet0(slbdtsldtrb0(xT,xk))
    & ! [X8] :
        ( ( ( xk = sbrdtbr0(X8)
            & ( aSubsetOf0(X8,xS)
              | ( ! [X9] :
                    ( aElementOf0(X9,X8)
                   => aElementOf0(X9,xS) )
                & aSet0(X8) ) ) )
         => aElementOf0(X8,slbdtsldtrb0(xS,xk)) )
        & ( aElementOf0(X8,slbdtsldtrb0(xS,xk))
         => ( xk = sbrdtbr0(X8)
            & aSubsetOf0(X8,xS)
            & ! [X10] :
                ( aElementOf0(X10,X8)
               => aElementOf0(X10,xS) )
            & aSet0(X8) ) ) )
    & aSet0(slbdtsldtrb0(xS,xk)) ),
    inference(rectify,[],[f63]) ).

fof(f159,plain,
    ( slcrc0 != slbdtsldtrb0(xS,xk)
    & ? [X3] : aElementOf0(X3,slbdtsldtrb0(xS,xk))
    & ! [X0] :
        ( ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
          | sbrdtbr0(X0) != xk
          | ( ~ aSubsetOf0(X0,xS)
            & ( ? [X1] :
                  ( ~ aElementOf0(X1,xS)
                  & aElementOf0(X1,X0) )
              | ~ aSet0(X0) ) ) )
        & ( ( sbrdtbr0(X0) = xk
            & aSubsetOf0(X0,xS)
            & ! [X2] :
                ( aElementOf0(X2,xS)
                | ~ aElementOf0(X2,X0) )
            & aSet0(X0) )
          | ~ aElementOf0(X0,slbdtsldtrb0(xS,xk)) ) )
    & aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
    & ! [X4] :
        ( aElementOf0(X4,slbdtsldtrb0(xT,xk))
        | ~ aElementOf0(X4,slbdtsldtrb0(xS,xk)) )
    & ! [X5] :
        ( ( aElementOf0(X5,slbdtsldtrb0(xT,xk))
          | xk != sbrdtbr0(X5)
          | ( ~ aSubsetOf0(X5,xT)
            & ( ? [X6] :
                  ( ~ aElementOf0(X6,xT)
                  & aElementOf0(X6,X5) )
              | ~ aSet0(X5) ) ) )
        & ( ( xk = sbrdtbr0(X5)
            & aSubsetOf0(X5,xT)
            & ! [X7] :
                ( aElementOf0(X7,xT)
                | ~ aElementOf0(X7,X5) )
            & aSet0(X5) )
          | ~ aElementOf0(X5,slbdtsldtrb0(xT,xk)) ) )
    & aSet0(slbdtsldtrb0(xT,xk))
    & ! [X8] :
        ( ( aElementOf0(X8,slbdtsldtrb0(xS,xk))
          | xk != sbrdtbr0(X8)
          | ( ~ aSubsetOf0(X8,xS)
            & ( ? [X9] :
                  ( ~ aElementOf0(X9,xS)
                  & aElementOf0(X9,X8) )
              | ~ aSet0(X8) ) ) )
        & ( ( xk = sbrdtbr0(X8)
            & aSubsetOf0(X8,xS)
            & ! [X10] :
                ( aElementOf0(X10,xS)
                | ~ aElementOf0(X10,X8) )
            & aSet0(X8) )
          | ~ aElementOf0(X8,slbdtsldtrb0(xS,xk)) ) )
    & aSet0(slbdtsldtrb0(xS,xk)) ),
    inference(ennf_transformation,[],[f76]) ).

fof(f160,plain,
    ( slcrc0 != slbdtsldtrb0(xS,xk)
    & ? [X3] : aElementOf0(X3,slbdtsldtrb0(xS,xk))
    & ! [X0] :
        ( ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
          | sbrdtbr0(X0) != xk
          | ( ~ aSubsetOf0(X0,xS)
            & ( ? [X1] :
                  ( ~ aElementOf0(X1,xS)
                  & aElementOf0(X1,X0) )
              | ~ aSet0(X0) ) ) )
        & ( ( sbrdtbr0(X0) = xk
            & aSubsetOf0(X0,xS)
            & ! [X2] :
                ( aElementOf0(X2,xS)
                | ~ aElementOf0(X2,X0) )
            & aSet0(X0) )
          | ~ aElementOf0(X0,slbdtsldtrb0(xS,xk)) ) )
    & aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
    & ! [X4] :
        ( aElementOf0(X4,slbdtsldtrb0(xT,xk))
        | ~ aElementOf0(X4,slbdtsldtrb0(xS,xk)) )
    & ! [X5] :
        ( ( aElementOf0(X5,slbdtsldtrb0(xT,xk))
          | xk != sbrdtbr0(X5)
          | ( ~ aSubsetOf0(X5,xT)
            & ( ? [X6] :
                  ( ~ aElementOf0(X6,xT)
                  & aElementOf0(X6,X5) )
              | ~ aSet0(X5) ) ) )
        & ( ( xk = sbrdtbr0(X5)
            & aSubsetOf0(X5,xT)
            & ! [X7] :
                ( aElementOf0(X7,xT)
                | ~ aElementOf0(X7,X5) )
            & aSet0(X5) )
          | ~ aElementOf0(X5,slbdtsldtrb0(xT,xk)) ) )
    & aSet0(slbdtsldtrb0(xT,xk))
    & ! [X8] :
        ( ( aElementOf0(X8,slbdtsldtrb0(xS,xk))
          | xk != sbrdtbr0(X8)
          | ( ~ aSubsetOf0(X8,xS)
            & ( ? [X9] :
                  ( ~ aElementOf0(X9,xS)
                  & aElementOf0(X9,X8) )
              | ~ aSet0(X8) ) ) )
        & ( ( xk = sbrdtbr0(X8)
            & aSubsetOf0(X8,xS)
            & ! [X10] :
                ( aElementOf0(X10,xS)
                | ~ aElementOf0(X10,X8) )
            & aSet0(X8) )
          | ~ aElementOf0(X8,slbdtsldtrb0(xS,xk)) ) )
    & aSet0(slbdtsldtrb0(xS,xk)) ),
    inference(flattening,[],[f159]) ).

fof(f161,plain,
    ( aElementOf0(xQ,slbdtsldtrb0(xS,xk))
    & xk = sbrdtbr0(xQ)
    & aSubsetOf0(xQ,xS)
    & ! [X0] :
        ( aElementOf0(X0,xS)
        | ~ aElementOf0(X0,xQ) )
    & aSet0(xQ) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f162,plain,
    ( ~ aElementOf0(xx,xT)
    & aElementOf0(xx,xQ) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f223,plain,
    ( slcrc0 != slbdtsldtrb0(xS,xk)
    & ? [X0] : aElementOf0(X0,slbdtsldtrb0(xS,xk))
    & ! [X1] :
        ( ( aElementOf0(X1,slbdtsldtrb0(xS,xk))
          | sbrdtbr0(X1) != xk
          | ( ~ aSubsetOf0(X1,xS)
            & ( ? [X2] :
                  ( ~ aElementOf0(X2,xS)
                  & aElementOf0(X2,X1) )
              | ~ aSet0(X1) ) ) )
        & ( ( sbrdtbr0(X1) = xk
            & aSubsetOf0(X1,xS)
            & ! [X3] :
                ( aElementOf0(X3,xS)
                | ~ aElementOf0(X3,X1) )
            & aSet0(X1) )
          | ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ) )
    & aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
    & ! [X4] :
        ( aElementOf0(X4,slbdtsldtrb0(xT,xk))
        | ~ aElementOf0(X4,slbdtsldtrb0(xS,xk)) )
    & ! [X5] :
        ( ( aElementOf0(X5,slbdtsldtrb0(xT,xk))
          | xk != sbrdtbr0(X5)
          | ( ~ aSubsetOf0(X5,xT)
            & ( ? [X6] :
                  ( ~ aElementOf0(X6,xT)
                  & aElementOf0(X6,X5) )
              | ~ aSet0(X5) ) ) )
        & ( ( xk = sbrdtbr0(X5)
            & aSubsetOf0(X5,xT)
            & ! [X7] :
                ( aElementOf0(X7,xT)
                | ~ aElementOf0(X7,X5) )
            & aSet0(X5) )
          | ~ aElementOf0(X5,slbdtsldtrb0(xT,xk)) ) )
    & aSet0(slbdtsldtrb0(xT,xk))
    & ! [X8] :
        ( ( aElementOf0(X8,slbdtsldtrb0(xS,xk))
          | xk != sbrdtbr0(X8)
          | ( ~ aSubsetOf0(X8,xS)
            & ( ? [X9] :
                  ( ~ aElementOf0(X9,xS)
                  & aElementOf0(X9,X8) )
              | ~ aSet0(X8) ) ) )
        & ( ( xk = sbrdtbr0(X8)
            & aSubsetOf0(X8,xS)
            & ! [X10] :
                ( aElementOf0(X10,xS)
                | ~ aElementOf0(X10,X8) )
            & aSet0(X8) )
          | ~ aElementOf0(X8,slbdtsldtrb0(xS,xk)) ) )
    & aSet0(slbdtsldtrb0(xS,xk)) ),
    inference(rectify,[],[f160]) ).

fof(f224,plain,
    ( ? [X0] : aElementOf0(X0,slbdtsldtrb0(xS,xk))
   => aElementOf0(sK15,slbdtsldtrb0(xS,xk)) ),
    introduced(choice_axiom,[]) ).

fof(f225,plain,
    ! [X1] :
      ( ? [X2] :
          ( ~ aElementOf0(X2,xS)
          & aElementOf0(X2,X1) )
     => ( ~ aElementOf0(sK16(X1),xS)
        & aElementOf0(sK16(X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f226,plain,
    ! [X5] :
      ( ? [X6] :
          ( ~ aElementOf0(X6,xT)
          & aElementOf0(X6,X5) )
     => ( ~ aElementOf0(sK17(X5),xT)
        & aElementOf0(sK17(X5),X5) ) ),
    introduced(choice_axiom,[]) ).

fof(f227,plain,
    ! [X8] :
      ( ? [X9] :
          ( ~ aElementOf0(X9,xS)
          & aElementOf0(X9,X8) )
     => ( ~ aElementOf0(sK18(X8),xS)
        & aElementOf0(sK18(X8),X8) ) ),
    introduced(choice_axiom,[]) ).

fof(f228,plain,
    ( slcrc0 != slbdtsldtrb0(xS,xk)
    & aElementOf0(sK15,slbdtsldtrb0(xS,xk))
    & ! [X1] :
        ( ( aElementOf0(X1,slbdtsldtrb0(xS,xk))
          | sbrdtbr0(X1) != xk
          | ( ~ aSubsetOf0(X1,xS)
            & ( ( ~ aElementOf0(sK16(X1),xS)
                & aElementOf0(sK16(X1),X1) )
              | ~ aSet0(X1) ) ) )
        & ( ( sbrdtbr0(X1) = xk
            & aSubsetOf0(X1,xS)
            & ! [X3] :
                ( aElementOf0(X3,xS)
                | ~ aElementOf0(X3,X1) )
            & aSet0(X1) )
          | ~ aElementOf0(X1,slbdtsldtrb0(xS,xk)) ) )
    & aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
    & ! [X4] :
        ( aElementOf0(X4,slbdtsldtrb0(xT,xk))
        | ~ aElementOf0(X4,slbdtsldtrb0(xS,xk)) )
    & ! [X5] :
        ( ( aElementOf0(X5,slbdtsldtrb0(xT,xk))
          | xk != sbrdtbr0(X5)
          | ( ~ aSubsetOf0(X5,xT)
            & ( ( ~ aElementOf0(sK17(X5),xT)
                & aElementOf0(sK17(X5),X5) )
              | ~ aSet0(X5) ) ) )
        & ( ( xk = sbrdtbr0(X5)
            & aSubsetOf0(X5,xT)
            & ! [X7] :
                ( aElementOf0(X7,xT)
                | ~ aElementOf0(X7,X5) )
            & aSet0(X5) )
          | ~ aElementOf0(X5,slbdtsldtrb0(xT,xk)) ) )
    & aSet0(slbdtsldtrb0(xT,xk))
    & ! [X8] :
        ( ( aElementOf0(X8,slbdtsldtrb0(xS,xk))
          | xk != sbrdtbr0(X8)
          | ( ~ aSubsetOf0(X8,xS)
            & ( ( ~ aElementOf0(sK18(X8),xS)
                & aElementOf0(sK18(X8),X8) )
              | ~ aSet0(X8) ) ) )
        & ( ( xk = sbrdtbr0(X8)
            & aSubsetOf0(X8,xS)
            & ! [X10] :
                ( aElementOf0(X10,xS)
                | ~ aElementOf0(X10,X8) )
            & aSet0(X8) )
          | ~ aElementOf0(X8,slbdtsldtrb0(xS,xk)) ) )
    & aSet0(slbdtsldtrb0(xS,xk)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16,sK17,sK18])],[f223,f227,f226,f225,f224]) ).

fof(f352,plain,
    ! [X7,X5] :
      ( aElementOf0(X7,xT)
      | ~ aElementOf0(X7,X5)
      | ~ aElementOf0(X5,slbdtsldtrb0(xT,xk)) ),
    inference(cnf_transformation,[],[f228]) ).

fof(f358,plain,
    ! [X4] :
      ( aElementOf0(X4,slbdtsldtrb0(xT,xk))
      | ~ aElementOf0(X4,slbdtsldtrb0(xS,xk)) ),
    inference(cnf_transformation,[],[f228]) ).

fof(f374,plain,
    aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
    inference(cnf_transformation,[],[f161]) ).

fof(f380,plain,
    aElementOf0(xx,xQ),
    inference(cnf_transformation,[],[f162]) ).

fof(f381,plain,
    ~ aElementOf0(xx,xT),
    inference(cnf_transformation,[],[f162]) ).

cnf(c_172,plain,
    ( ~ aElementOf0(X0,slbdtsldtrb0(xS,xk))
    | aElementOf0(X0,slbdtsldtrb0(xT,xk)) ),
    inference(cnf_transformation,[],[f358]) ).

cnf(c_178,plain,
    ( ~ aElementOf0(X0,slbdtsldtrb0(xT,xk))
    | ~ aElementOf0(X1,X0)
    | aElementOf0(X1,xT) ),
    inference(cnf_transformation,[],[f352]) ).

cnf(c_190,plain,
    aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
    inference(cnf_transformation,[],[f374]) ).

cnf(c_200,negated_conjecture,
    ~ aElementOf0(xx,xT),
    inference(cnf_transformation,[],[f381]) ).

cnf(c_201,negated_conjecture,
    aElementOf0(xx,xQ),
    inference(cnf_transformation,[],[f380]) ).

cnf(c_9618,negated_conjecture,
    aElementOf0(xx,xQ),
    inference(demodulation,[status(thm)],[c_201]) ).

cnf(c_9619,negated_conjecture,
    ~ aElementOf0(xx,xT),
    inference(demodulation,[status(thm)],[c_200]) ).

cnf(c_12172,plain,
    aElementOf0(xQ,slbdtsldtrb0(xT,xk)),
    inference(superposition,[status(thm)],[c_190,c_172]) ).

cnf(c_12989,plain,
    ( ~ aElementOf0(X0,xQ)
    | aElementOf0(X0,xT) ),
    inference(superposition,[status(thm)],[c_12172,c_178]) ).

cnf(c_13404,plain,
    aElementOf0(xx,xT),
    inference(superposition,[status(thm)],[c_9618,c_12989]) ).

cnf(c_13405,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_13404,c_9619]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : NUM552+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n014.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.32  % DateTime : Thu May  2 19:16:02 EDT 2024
% 0.10/0.32  % CPUTime  : 
% 0.16/0.42  Running first-order theorem proving
% 0.16/0.42  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
% 3.79/1.12  % SZS status Started for theBenchmark.p
% 3.79/1.12  % SZS status Theorem for theBenchmark.p
% 3.79/1.12  
% 3.79/1.12  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.79/1.12  
% 3.79/1.12  ------  iProver source info
% 3.79/1.12  
% 3.79/1.12  git: date: 2024-05-02 19:28:25 +0000
% 3.79/1.12  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.79/1.12  git: non_committed_changes: false
% 3.79/1.12  
% 3.79/1.12  ------ Parsing...
% 3.79/1.12  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.79/1.12  
% 3.79/1.12  ------ 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 
% 3.79/1.12  
% 3.79/1.12  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.79/1.12  
% 3.79/1.12  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.79/1.12  ------ Proving...
% 3.79/1.12  ------ Problem Properties 
% 3.79/1.12  
% 3.79/1.12  
% 3.79/1.12  clauses                                 144
% 3.79/1.12  conjectures                             2
% 3.79/1.12  EPR                                     42
% 3.79/1.12  Horn                                    111
% 3.79/1.12  unary                                   28
% 3.79/1.12  binary                                  24
% 3.79/1.12  lits                                    448
% 3.79/1.12  lits eq                                 68
% 3.79/1.12  fd_pure                                 0
% 3.79/1.12  fd_pseudo                               0
% 3.79/1.12  fd_cond                                 9
% 3.79/1.12  fd_pseudo_cond                          18
% 3.79/1.12  AC symbols                              0
% 3.79/1.12  
% 3.79/1.12  ------ Schedule dynamic 5 is on 
% 3.79/1.12  
% 3.79/1.12  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.79/1.12  
% 3.79/1.12  
% 3.79/1.12  ------ 
% 3.79/1.12  Current options:
% 3.79/1.12  ------ 
% 3.79/1.12  
% 3.79/1.12  
% 3.79/1.12  
% 3.79/1.12  
% 3.79/1.12  ------ Proving...
% 3.79/1.12  
% 3.79/1.12  
% 3.79/1.12  % SZS status Theorem for theBenchmark.p
% 3.79/1.12  
% 3.79/1.12  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.79/1.12  
% 3.79/1.12  
%------------------------------------------------------------------------------