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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SET934+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n003.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 02:49:09 PM UTC 2026

% Result   : Theorem 4.20s 1.09s
% Output   : CNFRefutation 4.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   57 (   7 unt;   0 def)
%            Number of atoms       :  211 (  21 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  254 ( 100   ~; 112   |;  35   &)
%                                         (   6 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-3 aty)
%            Number of variables   :  122 (   0 sgn 113   !;   9   ?;  24   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0,X1] :
      ( X1 = powerset(X0)
    <=> ! [X2] :
          ( in(X2,X1)
        <=> subset(X2,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_zfmisc_1) ).

fof(f4,axiom,
    ! [X0,X1,X2] :
      ( X2 = set_union2(X0,X1)
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,X1)
            | in(X3,X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

fof(f14,conjecture,
    ! [X0,X1] : subset(set_union2(powerset(X0),powerset(X1)),powerset(set_union2(X0,X1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t81_zfmisc_1) ).

fof(f15,negated_conjecture,
    ~ ! [X0,X1] : subset(set_union2(powerset(X0),powerset(X1)),powerset(set_union2(X0,X1))),
    inference(negated_conjecture,[status(cth)],[f14]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( ~ in(X2,X0)
          | in(X2,X1) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f24,plain,
    ? [X0,X1] : ~ subset(set_union2(powerset(X0),powerset(X1)),powerset(set_union2(X0,X1))),
    inference(ennf_transformation,[],[f15]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ( powerset(X0) != X1
        | ! [X2] :
            ( ( ~ in(X2,X1)
              | subset(X2,X0) )
            & ( ~ subset(X2,X0)
              | in(X2,X1) ) ) )
      & ( ? [X2] :
            ( ( in(X2,X1)
              | subset(X2,X0) )
            & ( ~ in(X2,X1)
              | ~ subset(X2,X0) ) )
        | X1 = powerset(X0) ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ( powerset(X0) != X1
        | ! [X3] :
            ( ( ~ in(X3,X1)
              | subset(X3,X0) )
            & ( ~ subset(X3,X0)
              | in(X3,X1) ) ) )
      & ( ? [X2] :
            ( ( in(X2,X1)
              | subset(X2,X0) )
            & ( ~ in(X2,X1)
              | ~ subset(X2,X0) ) )
        | X1 = powerset(X0) ) ),
    inference(rectify,[],[f25]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ( powerset(X0) != X1
        | ! [X3] :
            ( ( ~ in(X3,X1)
              | subset(X3,X0) )
            & ( ~ subset(X3,X0)
              | in(X3,X1) ) ) )
      & ( ( ( in(sK0(X0,X1),X1)
            | subset(sK0(X0,X1),X0) )
          & ( ~ in(sK0(X0,X1),X1)
            | ~ subset(sK0(X0,X1),X0) ) )
        | X1 = powerset(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f26]) ).

fof(f28,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X0,X1) != X2
        | ! [X3] :
            ( ( ~ in(X3,X2)
              | in(X3,X1)
              | in(X3,X0) )
            & ( ( ~ in(X3,X1)
                & ~ in(X3,X0) )
              | in(X3,X2) ) ) )
      & ( ? [X3] :
            ( ( in(X3,X2)
              | in(X3,X1)
              | in(X3,X0) )
            & ( ~ in(X3,X2)
              | ( ~ in(X3,X1)
                & ~ in(X3,X0) ) ) )
        | X2 = set_union2(X0,X1) ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f29,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X0,X1) != X2
        | ! [X3] :
            ( ( ~ in(X3,X2)
              | in(X3,X1)
              | in(X3,X0) )
            & ( ( ~ in(X3,X1)
                & ~ in(X3,X0) )
              | in(X3,X2) ) ) )
      & ( ? [X3] :
            ( ( in(X3,X2)
              | in(X3,X1)
              | in(X3,X0) )
            & ( ~ in(X3,X2)
              | ( ~ in(X3,X1)
                & ~ in(X3,X0) ) ) )
        | X2 = set_union2(X0,X1) ) ),
    inference(flattening,[],[f28]) ).

fof(f30,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X0,X1) != X2
        | ! [X4] :
            ( ( ~ in(X4,X2)
              | in(X4,X1)
              | in(X4,X0) )
            & ( ( ~ in(X4,X1)
                & ~ in(X4,X0) )
              | in(X4,X2) ) ) )
      & ( ? [X3] :
            ( ( in(X3,X2)
              | in(X3,X1)
              | in(X3,X0) )
            & ( ~ in(X3,X2)
              | ( ~ in(X3,X1)
                & ~ in(X3,X0) ) ) )
        | X2 = set_union2(X0,X1) ) ),
    inference(rectify,[],[f29]) ).

fof(f31,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X0,X1) != X2
        | ! [X4] :
            ( ( ~ in(X4,X2)
              | in(X4,X1)
              | in(X4,X0) )
            & ( ( ~ in(X4,X1)
                & ~ in(X4,X0) )
              | in(X4,X2) ) ) )
      & ( ( ( in(sK1(X0,X1,X2),X2)
            | in(sK1(X0,X1,X2),X1)
            | in(sK1(X0,X1,X2),X0) )
          & ( ~ in(sK1(X0,X1,X2),X2)
            | ( ~ in(sK1(X0,X1,X2),X1)
              & ~ in(sK1(X0,X1,X2),X0) ) ) )
        | X2 = set_union2(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1,X2))],[f30]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ( ~ subset(X0,X1)
        | ! [X2] :
            ( ~ in(X2,X0)
            | in(X2,X1) ) )
      & ( ? [X2] :
            ( in(X2,X0)
            & ~ in(X2,X1) )
        | subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f19]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ( ~ subset(X0,X1)
        | ! [X3] :
            ( ~ in(X3,X0)
            | in(X3,X1) ) )
      & ( ? [X2] :
            ( in(X2,X0)
            & ~ in(X2,X1) )
        | subset(X0,X1) ) ),
    inference(rectify,[],[f32]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ( ~ subset(X0,X1)
        | ! [X3] :
            ( ~ in(X3,X0)
            | in(X3,X1) ) )
      & ( ( in(sK2(X0,X1),X0)
          & ~ in(sK2(X0,X1),X1) )
        | subset(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f33]) ).

fof(f37,plain,
    ~ subset(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X0,sK5),skolemize(X1,sK6)],[f24]) ).

fof(f40,plain,
    ! [X3,X0,X1] :
      ( powerset(X0) != X1
      | ~ in(X3,X1)
      | subset(X3,X0) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f41,plain,
    ! [X3,X0,X1] :
      ( powerset(X0) != X1
      | ~ subset(X3,X0)
      | in(X3,X1) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f44,plain,
    ! [X2,X0,X1,X4] :
      ( set_union2(X0,X1) != X2
      | ~ in(X4,X2)
      | in(X4,X1)
      | in(X4,X0) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f45,plain,
    ! [X2,X0,X1,X4] :
      ( set_union2(X0,X1) != X2
      | ~ in(X4,X1)
      | in(X4,X2) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f46,plain,
    ! [X2,X0,X1,X4] :
      ( set_union2(X0,X1) != X2
      | ~ in(X4,X0)
      | in(X4,X2) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f50,plain,
    ! [X3,X0,X1] :
      ( ~ subset(X0,X1)
      | ~ in(X3,X0)
      | in(X3,X1) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( in(sK2(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ~ in(sK2(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f61,plain,
    ~ subset(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),
    inference(cnf_transformation,[],[f37]) ).

fof(f62,plain,
    ! [X3,X0] :
      ( ~ subset(X3,X0)
      | in(X3,powerset(X0)) ),
    inference(equality_resolution,[],[f41]) ).

fof(f63,plain,
    ! [X3,X0] :
      ( ~ in(X3,powerset(X0))
      | subset(X3,X0) ),
    inference(equality_resolution,[],[f40]) ).

fof(f64,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,X0)
      | in(X4,set_union2(X0,X1)) ),
    inference(equality_resolution,[],[f46]) ).

fof(f65,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,X1)
      | in(X4,set_union2(X0,X1)) ),
    inference(equality_resolution,[],[f45]) ).

fof(f66,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,set_union2(X0,X1))
      | in(X4,X1)
      | in(X4,X0) ),
    inference(equality_resolution,[],[f44]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i] :
      ( in(X0,powerset(X1))
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i] :
      ( subset(X0,X1)
      | ~ in(X0,powerset(X1)) ),
    inference(cnf_transformation,[],[f63]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( in(X0,set_union2(X1,X2))
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f64]) ).

tcf(c_59,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( in(X0,set_union2(X2,X1))
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f65]) ).

tcf(c_60,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( in(X0,X2)
      | in(X0,X1)
      | ~ in(X0,set_union2(X1,X2)) ),
    inference(cnf_transformation,[],[f66]) ).

tcf(c_61,plain,
    ! [X0: $i,X1: $i] :
      ( subset(X0,X1)
      | ~ in(sK2(X0,X1),X1) ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_62,plain,
    ! [X0: $i,X1: $i] :
      ( subset(X0,X1)
      | in(sK2(X0,X1),X0) ),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_63,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( in(X0,X2)
      | ~ subset(X1,X2)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_72,negated_conjecture,
    ~ subset(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),
    inference(cnf_transformation,[],[f61]) ).

tcf(c_733,plain,
    ( subset(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6)))
    | ~ in(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),powerset(set_union2(sK5,sK6))) ),
    inference(instantiation,[status(thm)],[c_61]) ).

tcf(c_735,plain,
    ( subset(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6)))
    | in(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),set_union2(powerset(sK5),powerset(sK6))) ),
    inference(instantiation,[status(thm)],[c_62]) ).

tcf(c_740,plain,
    ( in(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),powerset(set_union2(sK5,sK6)))
    | ~ subset(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),set_union2(sK5,sK6)) ),
    inference(instantiation,[status(thm)],[c_53]) ).

tcf(c_773,plain,
    ( subset(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),set_union2(sK5,sK6))
    | ~ in(sK2(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),set_union2(sK5,sK6)),set_union2(sK5,sK6)) ),
    inference(instantiation,[status(thm)],[c_61]) ).

tcf(c_775,plain,
    ( subset(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),set_union2(sK5,sK6))
    | in(sK2(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),set_union2(sK5,sK6)),sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6)))) ),
    inference(instantiation,[status(thm)],[c_62]) ).

tcf(c_784,plain,
    ! [X0: $i,X1: $i] :
      ( in(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),X1)
      | in(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),X0)
      | ~ in(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),set_union2(X0,X1)) ),
    inference(instantiation,[status(thm)],[c_60]) ).

tcf(c_914,plain,
    ( in(sK2(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),set_union2(sK5,sK6)),set_union2(sK5,sK6))
    | ~ in(sK2(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),set_union2(sK5,sK6)),sK5) ),
    inference(instantiation,[status(thm)],[c_58]) ).

tcf(c_915,plain,
    ( in(sK2(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),set_union2(sK5,sK6)),set_union2(sK5,sK6))
    | ~ in(sK2(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),set_union2(sK5,sK6)),sK6) ),
    inference(instantiation,[status(thm)],[c_59]) ).

tcf(c_937,plain,
    ! [X0: $i] :
      ( subset(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),X0)
      | ~ in(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),powerset(X0)) ),
    inference(instantiation,[status(thm)],[c_54]) ).

tcf(c_940,plain,
    ( subset(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),sK5)
    | ~ in(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),powerset(sK5)) ),
    inference(instantiation,[status(thm)],[c_937]) ).

tcf(c_1177,plain,
    ( in(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),powerset(sK6))
    | in(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),powerset(sK5))
    | ~ in(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),set_union2(powerset(sK5),powerset(sK6))) ),
    inference(instantiation,[status(thm)],[c_784]) ).

tcf(c_1513,plain,
    ! [X0: $i] :
      ( in(sK2(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),set_union2(sK5,sK6)),X0)
      | ~ subset(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),X0)
      | ~ in(sK2(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),set_union2(sK5,sK6)),sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6)))) ),
    inference(instantiation,[status(thm)],[c_63]) ).

tcf(c_1514,plain,
    ( in(sK2(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),set_union2(sK5,sK6)),sK5)
    | ~ subset(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),sK5)
    | ~ in(sK2(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),set_union2(sK5,sK6)),sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6)))) ),
    inference(instantiation,[status(thm)],[c_1513]) ).

tcf(c_3995,plain,
    ( subset(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),sK6)
    | ~ in(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),powerset(sK6)) ),
    inference(instantiation,[status(thm)],[c_937]) ).

tcf(c_6054,plain,
    ( in(sK2(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),set_union2(sK5,sK6)),sK6)
    | ~ subset(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),sK6)
    | ~ in(sK2(sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6))),set_union2(sK5,sK6)),sK2(set_union2(powerset(sK5),powerset(sK6)),powerset(set_union2(sK5,sK6)))) ),
    inference(instantiation,[status(thm)],[c_1513]) ).

tcf(c_6055,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_6054,c_3995,c_1514,c_1177,c_940,c_915,c_914,c_773,c_775,c_740,c_733,c_735,c_72]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SET934+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36  % Computer : n003.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Thu Sep 24 12:26:06 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41  Running first-order theorem proving
% 0.09/0.41  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.42  
% 0.09/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42  
% 0.09/0.42  % Detected problem language: tptp
% 0.09/0.43  % Proving...
% 4.20/1.09  % SZS status Started for theBenchmark.p
% 4.20/1.09  % SZS status Theorem for theBenchmark.p
% 4.20/1.09  
% 4.20/1.09  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.20/1.09  
% 4.20/1.09  % ------  iProver source info
% 4.20/1.09  
% 4.20/1.09  % git: date: 2026-07-19 20:42:38 +0200
% 4.20/1.09  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.20/1.09  % git: non_committed_changes: false
% 4.20/1.09  
% 4.20/1.09  % ------ Parsing...
% 4.20/1.09  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 4.20/1.09  
% 4.20/1.09  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 4.20/1.09  
% 4.20/1.09  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 4.20/1.09  
% 4.20/1.09  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.20/1.09  % ------ Proving...
% 4.20/1.09  % ------ Problem Properties 
% 4.20/1.09  
% 4.20/1.09  % 
% 4.20/1.09  % clauses                               24
% 4.20/1.09  % conjectures                           1
% 4.20/1.09  % EPR                                   6
% 4.20/1.09  % Horn                                  20
% 4.20/1.09  % unary                                 7
% 4.20/1.09  % binary                                9
% 4.20/1.09  % lits                                  50
% 4.20/1.09  % lits eq                               7
% 4.20/1.09  % fd_pure                               0
% 4.20/1.09  % fd_pseudo                             0
% 4.20/1.09  % fd_cond                               0
% 4.20/1.09  % fd_pseudo_cond                        5
% 4.20/1.09  % AC symbols                            0
% 4.20/1.09  
% 4.20/1.09  % ------ Input Options Time Limit: Unbounded
% 4.20/1.09  
% 4.20/1.09  
% 4.20/1.09  % ------ 
% 4.20/1.09  % Current options:
% 4.20/1.09  % ------ 
% 4.20/1.09  
% 4.20/1.09  
% 4.20/1.09  % 
% 4.20/1.09  
% 4.20/1.09  % ------ Proving...
% 4.20/1.09  % 
% 4.20/1.09  
% 4.20/1.09  % SZS status Theorem for theBenchmark.p
% 4.20/1.09  
% 4.20/1.09  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.20/1.10  
% 4.20/1.10  
%------------------------------------------------------------------------------