TSTP Solution File: SET986+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SET986+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n004.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 15:10:56 EDT 2023

% Result   : Theorem 3.85s 1.15s
% Output   : CNFRefutation 3.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   66 (  12 unt;   0 def)
%            Number of atoms       :  302 (  84 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  379 ( 143   ~; 160   |;  64   &)
%                                         (   6 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-3 aty)
%            Number of variables   :  148 (   2 sgn; 102   !;  15   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( singleton(X0) = X1
    <=> ! [X2] :
          ( in(X2,X1)
        <=> X0 = X2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).

fof(f5,axiom,
    ! [X0,X1,X2] :
      ( set_union2(X0,X1) = X2
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,X1)
            | in(X3,X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).

fof(f7,axiom,
    ! [X0,X1,X2] :
      ( set_difference(X0,X1) = X2
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( ~ in(X3,X1)
            & in(X3,X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).

fof(f14,conjecture,
    ! [X0,X1] :
      ( in(X0,X1)
     => set_union2(set_difference(X1,singleton(X0)),singleton(X0)) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t140_zfmisc_1) ).

fof(f15,negated_conjecture,
    ~ ! [X0,X1] :
        ( in(X0,X1)
       => set_union2(set_difference(X1,singleton(X0)),singleton(X0)) = X1 ),
    inference(negated_conjecture,[],[f14]) ).

fof(f23,plain,
    ? [X0,X1] :
      ( set_union2(set_difference(X1,singleton(X0)),singleton(X0)) != X1
      & in(X0,X1) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ( singleton(X0) = X1
        | ? [X2] :
            ( ( X0 != X2
              | ~ in(X2,X1) )
            & ( X0 = X2
              | in(X2,X1) ) ) )
      & ( ! [X2] :
            ( ( in(X2,X1)
              | X0 != X2 )
            & ( X0 = X2
              | ~ in(X2,X1) ) )
        | singleton(X0) != X1 ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ( singleton(X0) = X1
        | ? [X2] :
            ( ( X0 != X2
              | ~ in(X2,X1) )
            & ( X0 = X2
              | in(X2,X1) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X1)
              | X0 != X3 )
            & ( X0 = X3
              | ~ in(X3,X1) ) )
        | singleton(X0) != X1 ) ),
    inference(rectify,[],[f26]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( X0 != X2
            | ~ in(X2,X1) )
          & ( X0 = X2
            | in(X2,X1) ) )
     => ( ( sK0(X0,X1) != X0
          | ~ in(sK0(X0,X1),X1) )
        & ( sK0(X0,X1) = X0
          | in(sK0(X0,X1),X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ( singleton(X0) = X1
        | ( ( sK0(X0,X1) != X0
            | ~ in(sK0(X0,X1),X1) )
          & ( sK0(X0,X1) = X0
            | in(sK0(X0,X1),X1) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X1)
              | X0 != X3 )
            & ( X0 = X3
              | ~ in(X3,X1) ) )
        | singleton(X0) != X1 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f27,f28]) ).

fof(f30,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X0,X1) = X2
        | ? [X3] :
            ( ( ( ~ in(X3,X1)
                & ~ in(X3,X0) )
              | ~ in(X3,X2) )
            & ( in(X3,X1)
              | in(X3,X0)
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | ( ~ in(X3,X1)
                & ~ in(X3,X0) ) )
            & ( in(X3,X1)
              | in(X3,X0)
              | ~ in(X3,X2) ) )
        | set_union2(X0,X1) != X2 ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X0,X1) = X2
        | ? [X3] :
            ( ( ( ~ in(X3,X1)
                & ~ in(X3,X0) )
              | ~ in(X3,X2) )
            & ( in(X3,X1)
              | in(X3,X0)
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | ( ~ in(X3,X1)
                & ~ in(X3,X0) ) )
            & ( in(X3,X1)
              | in(X3,X0)
              | ~ in(X3,X2) ) )
        | set_union2(X0,X1) != X2 ) ),
    inference(flattening,[],[f30]) ).

fof(f32,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X0,X1) = X2
        | ? [X3] :
            ( ( ( ~ in(X3,X1)
                & ~ in(X3,X0) )
              | ~ in(X3,X2) )
            & ( in(X3,X1)
              | in(X3,X0)
              | in(X3,X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ( ~ in(X4,X1)
                & ~ in(X4,X0) ) )
            & ( in(X4,X1)
              | in(X4,X0)
              | ~ in(X4,X2) ) )
        | set_union2(X0,X1) != X2 ) ),
    inference(rectify,[],[f31]) ).

fof(f33,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ( ~ in(X3,X1)
              & ~ in(X3,X0) )
            | ~ in(X3,X2) )
          & ( in(X3,X1)
            | in(X3,X0)
            | in(X3,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)
          | in(sK1(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f34,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X0,X1) = 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)
            | in(sK1(X0,X1,X2),X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ( ~ in(X4,X1)
                & ~ in(X4,X0) ) )
            & ( in(X4,X1)
              | in(X4,X0)
              | ~ in(X4,X2) ) )
        | set_union2(X0,X1) != X2 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f32,f33]) ).

fof(f39,plain,
    ! [X0,X1,X2] :
      ( ( set_difference(X0,X1) = X2
        | ? [X3] :
            ( ( in(X3,X1)
              | ~ in(X3,X0)
              | ~ in(X3,X2) )
            & ( ( ~ in(X3,X1)
                & in(X3,X0) )
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | in(X3,X1)
              | ~ in(X3,X0) )
            & ( ( ~ in(X3,X1)
                & in(X3,X0) )
              | ~ in(X3,X2) ) )
        | set_difference(X0,X1) != X2 ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f40,plain,
    ! [X0,X1,X2] :
      ( ( set_difference(X0,X1) = X2
        | ? [X3] :
            ( ( in(X3,X1)
              | ~ in(X3,X0)
              | ~ in(X3,X2) )
            & ( ( ~ in(X3,X1)
                & in(X3,X0) )
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | in(X3,X1)
              | ~ in(X3,X0) )
            & ( ( ~ in(X3,X1)
                & in(X3,X0) )
              | ~ in(X3,X2) ) )
        | set_difference(X0,X1) != X2 ) ),
    inference(flattening,[],[f39]) ).

fof(f41,plain,
    ! [X0,X1,X2] :
      ( ( set_difference(X0,X1) = X2
        | ? [X3] :
            ( ( in(X3,X1)
              | ~ in(X3,X0)
              | ~ in(X3,X2) )
            & ( ( ~ in(X3,X1)
                & in(X3,X0) )
              | in(X3,X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | in(X4,X1)
              | ~ in(X4,X0) )
            & ( ( ~ in(X4,X1)
                & in(X4,X0) )
              | ~ in(X4,X2) ) )
        | set_difference(X0,X1) != X2 ) ),
    inference(rectify,[],[f40]) ).

fof(f42,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( in(X3,X1)
            | ~ in(X3,X0)
            | ~ in(X3,X2) )
          & ( ( ~ in(X3,X1)
              & in(X3,X0) )
            | in(X3,X2) ) )
     => ( ( in(sK3(X0,X1,X2),X1)
          | ~ in(sK3(X0,X1,X2),X0)
          | ~ in(sK3(X0,X1,X2),X2) )
        & ( ( ~ in(sK3(X0,X1,X2),X1)
            & in(sK3(X0,X1,X2),X0) )
          | in(sK3(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f43,plain,
    ! [X0,X1,X2] :
      ( ( set_difference(X0,X1) = X2
        | ( ( in(sK3(X0,X1,X2),X1)
            | ~ in(sK3(X0,X1,X2),X0)
            | ~ in(sK3(X0,X1,X2),X2) )
          & ( ( ~ in(sK3(X0,X1,X2),X1)
              & in(sK3(X0,X1,X2),X0) )
            | in(sK3(X0,X1,X2),X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | in(X4,X1)
              | ~ in(X4,X0) )
            & ( ( ~ in(X4,X1)
                & in(X4,X0) )
              | ~ in(X4,X2) ) )
        | set_difference(X0,X1) != X2 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f41,f42]) ).

fof(f48,plain,
    ( ? [X0,X1] :
        ( set_union2(set_difference(X1,singleton(X0)),singleton(X0)) != X1
        & in(X0,X1) )
   => ( sK7 != set_union2(set_difference(sK7,singleton(sK6)),singleton(sK6))
      & in(sK6,sK7) ) ),
    introduced(choice_axiom,[]) ).

fof(f49,plain,
    ( sK7 != set_union2(set_difference(sK7,singleton(sK6)),singleton(sK6))
    & in(sK6,sK7) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f23,f48]) ).

fof(f53,plain,
    ! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
    inference(cnf_transformation,[],[f2]) ).

fof(f57,plain,
    ! [X3,X0,X1] :
      ( X0 = X3
      | ~ in(X3,X1)
      | singleton(X0) != X1 ),
    inference(cnf_transformation,[],[f29]) ).

fof(f58,plain,
    ! [X3,X0,X1] :
      ( in(X3,X1)
      | X0 != X3
      | singleton(X0) != X1 ),
    inference(cnf_transformation,[],[f29]) ).

fof(f64,plain,
    ! [X2,X0,X1] :
      ( set_union2(X0,X1) = X2
      | in(sK1(X0,X1,X2),X1)
      | in(sK1(X0,X1,X2),X0)
      | in(sK1(X0,X1,X2),X2) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f65,plain,
    ! [X2,X0,X1] :
      ( set_union2(X0,X1) = X2
      | ~ in(sK1(X0,X1,X2),X0)
      | ~ in(sK1(X0,X1,X2),X2) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f66,plain,
    ! [X2,X0,X1] :
      ( set_union2(X0,X1) = X2
      | ~ in(sK1(X0,X1,X2),X1)
      | ~ in(sK1(X0,X1,X2),X2) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f70,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X0)
      | ~ in(X4,X2)
      | set_difference(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f43]) ).

fof(f72,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X2)
      | in(X4,X1)
      | ~ in(X4,X0)
      | set_difference(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f43]) ).

fof(f82,plain,
    in(sK6,sK7),
    inference(cnf_transformation,[],[f49]) ).

fof(f83,plain,
    sK7 != set_union2(set_difference(sK7,singleton(sK6)),singleton(sK6)),
    inference(cnf_transformation,[],[f49]) ).

fof(f89,plain,
    ! [X3,X1] :
      ( in(X3,X1)
      | singleton(X3) != X1 ),
    inference(equality_resolution,[],[f58]) ).

fof(f90,plain,
    ! [X3] : in(X3,singleton(X3)),
    inference(equality_resolution,[],[f89]) ).

fof(f91,plain,
    ! [X3,X0] :
      ( X0 = X3
      | ~ in(X3,singleton(X0)) ),
    inference(equality_resolution,[],[f57]) ).

fof(f95,plain,
    ! [X0,X1,X4] :
      ( in(X4,set_difference(X0,X1))
      | in(X4,X1)
      | ~ in(X4,X0) ),
    inference(equality_resolution,[],[f72]) ).

fof(f97,plain,
    ! [X0,X1,X4] :
      ( in(X4,X0)
      | ~ in(X4,set_difference(X0,X1)) ),
    inference(equality_resolution,[],[f70]) ).

cnf(c_50,plain,
    set_union2(X0,X1) = set_union2(X1,X0),
    inference(cnf_transformation,[],[f53]) ).

cnf(c_56,plain,
    in(X0,singleton(X0)),
    inference(cnf_transformation,[],[f90]) ).

cnf(c_57,plain,
    ( ~ in(X0,singleton(X1))
    | X0 = X1 ),
    inference(cnf_transformation,[],[f91]) ).

cnf(c_58,plain,
    ( ~ in(sK1(X0,X1,X2),X1)
    | ~ in(sK1(X0,X1,X2),X2)
    | set_union2(X0,X1) = X2 ),
    inference(cnf_transformation,[],[f66]) ).

cnf(c_59,plain,
    ( ~ in(sK1(X0,X1,X2),X0)
    | ~ in(sK1(X0,X1,X2),X2)
    | set_union2(X0,X1) = X2 ),
    inference(cnf_transformation,[],[f65]) ).

cnf(c_60,plain,
    ( set_union2(X0,X1) = X2
    | in(sK1(X0,X1,X2),X0)
    | in(sK1(X0,X1,X2),X1)
    | in(sK1(X0,X1,X2),X2) ),
    inference(cnf_transformation,[],[f64]) ).

cnf(c_70,plain,
    ( ~ in(X0,X1)
    | in(X0,set_difference(X1,X2))
    | in(X0,X2) ),
    inference(cnf_transformation,[],[f95]) ).

cnf(c_72,plain,
    ( ~ in(X0,set_difference(X1,X2))
    | in(X0,X1) ),
    inference(cnf_transformation,[],[f97]) ).

cnf(c_79,negated_conjecture,
    set_union2(set_difference(sK7,singleton(sK6)),singleton(sK6)) != sK7,
    inference(cnf_transformation,[],[f83]) ).

cnf(c_80,negated_conjecture,
    in(sK6,sK7),
    inference(cnf_transformation,[],[f82]) ).

cnf(c_238,plain,
    set_union2(singleton(sK6),set_difference(sK7,singleton(sK6))) != sK7,
    inference(demodulation,[status(thm)],[c_79,c_50]) ).

cnf(c_398,plain,
    ( X0 != X1
    | X2 != X3
    | ~ in(X1,X3)
    | in(X0,X2) ),
    theory(equality) ).

cnf(c_771,plain,
    ( set_union2(singleton(sK6),set_difference(sK7,singleton(sK6))) = sK7
    | in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),set_difference(sK7,singleton(sK6)))
    | in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),singleton(sK6))
    | in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),sK7) ),
    inference(instantiation,[status(thm)],[c_60]) ).

cnf(c_772,plain,
    ( ~ in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),set_difference(sK7,singleton(sK6)))
    | ~ in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),sK7)
    | set_union2(singleton(sK6),set_difference(sK7,singleton(sK6))) = sK7 ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_773,plain,
    ( ~ in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),singleton(sK6))
    | ~ in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),sK7)
    | set_union2(singleton(sK6),set_difference(sK7,singleton(sK6))) = sK7 ),
    inference(instantiation,[status(thm)],[c_59]) ).

cnf(c_779,plain,
    ( ~ in(sK7,singleton(X0))
    | sK7 = X0 ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_802,plain,
    ( ~ in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),set_difference(sK7,X0))
    | in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),sK7) ),
    inference(instantiation,[status(thm)],[c_72]) ).

cnf(c_805,plain,
    ( sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7) != X0
    | sK7 != X1
    | ~ in(X0,X1)
    | in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),sK7) ),
    inference(instantiation,[status(thm)],[c_398]) ).

cnf(c_859,plain,
    ( ~ in(sK7,singleton(sK7))
    | sK7 = sK7 ),
    inference(instantiation,[status(thm)],[c_779]) ).

cnf(c_908,plain,
    ( ~ in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),X0)
    | in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),set_difference(X0,singleton(sK6)))
    | in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),singleton(sK6)) ),
    inference(instantiation,[status(thm)],[c_70]) ).

cnf(c_969,plain,
    ( ~ in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),singleton(X0))
    | sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7) = X0 ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_970,plain,
    ( ~ in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),singleton(sK6))
    | sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7) = sK6 ),
    inference(instantiation,[status(thm)],[c_969]) ).

cnf(c_1079,plain,
    in(sK7,singleton(sK7)),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_1588,plain,
    ( ~ in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),set_difference(sK7,singleton(sK6)))
    | in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),sK7) ),
    inference(instantiation,[status(thm)],[c_802]) ).

cnf(c_3167,plain,
    ( sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7) != X0
    | sK7 != sK7
    | ~ in(X0,sK7)
    | in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),sK7) ),
    inference(instantiation,[status(thm)],[c_805]) ).

cnf(c_3168,plain,
    ( sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7) != sK6
    | sK7 != sK7
    | ~ in(sK6,sK7)
    | in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),sK7) ),
    inference(instantiation,[status(thm)],[c_3167]) ).

cnf(c_4284,plain,
    ( ~ in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),sK7)
    | in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),set_difference(sK7,singleton(sK6)))
    | in(sK1(singleton(sK6),set_difference(sK7,singleton(sK6)),sK7),singleton(sK6)) ),
    inference(instantiation,[status(thm)],[c_908]) ).

cnf(c_5153,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_4284,c_3168,c_1588,c_1079,c_970,c_859,c_771,c_772,c_773,c_238,c_80]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET986+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n004.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 : Sat Aug 26 08:55:23 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.85/1.15  % SZS status Started for theBenchmark.p
% 3.85/1.15  % SZS status Theorem for theBenchmark.p
% 3.85/1.15  
% 3.85/1.15  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.85/1.15  
% 3.85/1.15  ------  iProver source info
% 3.85/1.15  
% 3.85/1.15  git: date: 2023-05-31 18:12:56 +0000
% 3.85/1.15  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.85/1.15  git: non_committed_changes: false
% 3.85/1.15  git: last_make_outside_of_git: false
% 3.85/1.15  
% 3.85/1.15  ------ Parsing...
% 3.85/1.15  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.85/1.15  
% 3.85/1.15  ------ Preprocessing... sup_sim: 1  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 
% 3.85/1.15  
% 3.85/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.85/1.15  
% 3.85/1.15  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.85/1.15  ------ Proving...
% 3.85/1.15  ------ Problem Properties 
% 3.85/1.15  
% 3.85/1.15  
% 3.85/1.15  clauses                                 32
% 3.85/1.15  conjectures                             1
% 3.85/1.15  EPR                                     7
% 3.85/1.15  Horn                                    23
% 3.85/1.15  unary                                   9
% 3.85/1.15  binary                                  10
% 3.85/1.15  lits                                    70
% 3.85/1.15  lits eq                                 16
% 3.85/1.15  fd_pure                                 0
% 3.85/1.15  fd_pseudo                               0
% 3.85/1.15  fd_cond                                 0
% 3.85/1.15  fd_pseudo_cond                          10
% 3.85/1.15  AC symbols                              0
% 3.85/1.15  
% 3.85/1.15  ------ Input Options Time Limit: Unbounded
% 3.85/1.15  
% 3.85/1.15  
% 3.85/1.15  ------ 
% 3.85/1.15  Current options:
% 3.85/1.15  ------ 
% 3.85/1.15  
% 3.85/1.15  
% 3.85/1.15  
% 3.85/1.15  
% 3.85/1.15  ------ Proving...
% 3.85/1.15  
% 3.85/1.15  
% 3.85/1.15  % SZS status Theorem for theBenchmark.p
% 3.85/1.15  
% 3.85/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.85/1.15  
% 3.85/1.16  
%------------------------------------------------------------------------------