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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SET582+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n016.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 02:47:26 PM UTC 2026

% Result   : Theorem 10.69s 2.95s
% Output   : CNFRefutation 10.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   69 (   6 unt;   0 def)
%            Number of atoms       :  227 (  23 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  266 ( 108   ~; 119   |;  27   &)
%                                         (  10 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :  117 (   0 sgn 109   !;   8   ?;  38   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0,X1,X2] :
      ( member(X2,union(X0,X1))
    <=> ( member(X2,X1)
        | member(X2,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).

fof(f3,axiom,
    ! [X0,X1,X2] :
      ( member(X2,difference(X0,X1))
    <=> ( ~ member(X2,X1)
        & member(X2,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn) ).

fof(f4,axiom,
    ! [X0,X1] : symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetric_difference_defn) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( X0 = X1
    <=> ! [X2] :
          ( member(X2,X0)
        <=> member(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_member_defn) ).

fof(f11,conjecture,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ~ member(X3,X0)
        <=> ( member(X3,X1)
          <=> member(X3,X2) ) )
     => X0 = symmetric_difference(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th25) ).

fof(f12,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ! [X3] :
            ( ~ member(X3,X0)
          <=> ( member(X3,X1)
            <=> member(X3,X2) ) )
       => X0 = symmetric_difference(X1,X2) ),
    inference(negated_conjecture,[status(cth)],[f11]) ).

fof(f13,plain,
    ? [X0,X1,X2] :
      ( ! [X3] :
          ( ~ member(X3,X0)
        <=> ( member(X3,X1)
          <=> member(X3,X2) ) )
      & symmetric_difference(X1,X2) != X0 ),
    inference(ennf_transformation,[],[f12]) ).

fof(f15,plain,
    ? [X0,X1,X2] :
      ( ! [X3] :
          ( ( member(X3,X0)
            | ( ( ~ member(X3,X1)
                | member(X3,X2) )
              & ( ~ member(X3,X2)
                | member(X3,X1) ) ) )
          & ( ( ( member(X3,X1)
                | member(X3,X2) )
              & ( ~ member(X3,X1)
                | ~ member(X3,X2) ) )
            | ~ member(X3,X0) ) )
      & symmetric_difference(X1,X2) != X0 ),
    inference(nnf_transformation,[],[f13]) ).

fof(f16,plain,
    ( ! [X3] :
        ( ( member(X3,sK0)
          | ( ( ~ member(X3,sK1)
              | member(X3,sK2) )
            & ( ~ member(X3,sK2)
              | member(X3,sK1) ) ) )
        & ( ( ( member(X3,sK1)
              | member(X3,sK2) )
            & ( ~ member(X3,sK1)
              | ~ member(X3,sK2) ) )
          | ~ member(X3,sK0) ) )
    & sK0 != symmetric_difference(sK1,sK2) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f15]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( ( X0 != X1
        | ! [X2] :
            ( ( ~ member(X2,X0)
              | member(X2,X1) )
            & ( ~ member(X2,X1)
              | member(X2,X0) ) ) )
      & ( ? [X2] :
            ( ( member(X2,X0)
              | member(X2,X1) )
            & ( ~ member(X2,X0)
              | ~ member(X2,X1) ) )
        | X0 = X1 ) ),
    inference(nnf_transformation,[],[f8]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ( X0 != X1
        | ! [X3] :
            ( ( ~ member(X3,X0)
              | member(X3,X1) )
            & ( ~ member(X3,X1)
              | member(X3,X0) ) ) )
      & ( ? [X2] :
            ( ( member(X2,X0)
              | member(X2,X1) )
            & ( ~ member(X2,X0)
              | ~ member(X2,X1) ) )
        | X0 = X1 ) ),
    inference(rectify,[],[f17]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ( X0 != X1
        | ! [X3] :
            ( ( ~ member(X3,X0)
              | member(X3,X1) )
            & ( ~ member(X3,X1)
              | member(X3,X0) ) ) )
      & ( ( ( member(sK3(X0,X1),X0)
            | member(sK3(X0,X1),X1) )
          & ( ~ member(sK3(X0,X1),X0)
            | ~ member(sK3(X0,X1),X1) ) )
        | X0 = X1 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f18]) ).

fof(f22,plain,
    ! [X0,X1,X2] :
      ( ( ~ member(X2,union(X0,X1))
        | member(X2,X1)
        | member(X2,X0) )
      & ( ( ~ member(X2,X1)
          & ~ member(X2,X0) )
        | member(X2,union(X0,X1)) ) ),
    inference(nnf_transformation,[],[f2]) ).

fof(f23,plain,
    ! [X0,X1,X2] :
      ( ( ~ member(X2,union(X0,X1))
        | member(X2,X1)
        | member(X2,X0) )
      & ( ( ~ member(X2,X1)
          & ~ member(X2,X0) )
        | member(X2,union(X0,X1)) ) ),
    inference(flattening,[],[f22]) ).

fof(f24,plain,
    ! [X0,X1,X2] :
      ( ( ~ member(X2,difference(X0,X1))
        | ( ~ member(X2,X1)
          & member(X2,X0) ) )
      & ( member(X2,X1)
        | ~ member(X2,X0)
        | member(X2,difference(X0,X1)) ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f25,plain,
    ! [X0,X1,X2] :
      ( ( ~ member(X2,difference(X0,X1))
        | ( ~ member(X2,X1)
          & member(X2,X0) ) )
      & ( member(X2,X1)
        | ~ member(X2,X0)
        | member(X2,difference(X0,X1)) ) ),
    inference(flattening,[],[f24]) ).

fof(f26,plain,
    ! [X3] :
      ( member(X3,sK0)
      | ~ member(X3,sK1)
      | member(X3,sK2) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f27,plain,
    ! [X3] :
      ( member(X3,sK0)
      | ~ member(X3,sK2)
      | member(X3,sK1) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f28,plain,
    ! [X3] :
      ( member(X3,sK1)
      | member(X3,sK2)
      | ~ member(X3,sK0) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f29,plain,
    ! [X3] :
      ( ~ member(X3,sK1)
      | ~ member(X3,sK2)
      | ~ member(X3,sK0) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f30,plain,
    sK0 != symmetric_difference(sK1,sK2),
    inference(cnf_transformation,[],[f16]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( member(sK3(X0,X1),X0)
      | member(sK3(X0,X1),X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f19]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ~ member(sK3(X0,X1),X0)
      | ~ member(sK3(X0,X1),X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f19]) ).

fof(f38,plain,
    ! [X0,X1] : symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)),
    inference(cnf_transformation,[],[f4]) ).

fof(f40,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,union(X0,X1))
      | member(X2,X1)
      | member(X2,X0) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f41,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,X1)
      | member(X2,union(X0,X1)) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f42,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,X0)
      | member(X2,union(X0,X1)) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f43,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,difference(X0,X1))
      | ~ member(X2,X1) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f44,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,difference(X0,X1))
      | member(X2,X0) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f45,plain,
    ! [X2,X0,X1] :
      ( member(X2,X1)
      | ~ member(X2,X0)
      | member(X2,difference(X0,X1)) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f46,plain,
    sK0 != union(difference(sK1,sK2),difference(sK2,sK1)),
    inference(definition_unfolding,[],[f30,f38]) ).

tcf(c_49,negated_conjecture,
    union(difference(sK1,sK2),difference(sK2,sK1)) != sK0,
    inference(cnf_transformation,[],[f46]) ).

tcf(c_50,negated_conjecture,
    ! [X0: $i] :
      ( ~ member(X0,sK2)
      | ~ member(X0,sK1)
      | ~ member(X0,sK0) ),
    inference(cnf_transformation,[],[f29]) ).

tcf(c_51,negated_conjecture,
    ! [X0: $i] :
      ( member(X0,sK2)
      | member(X0,sK1)
      | ~ member(X0,sK0) ),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_52,negated_conjecture,
    ! [X0: $i] :
      ( member(X0,sK1)
      | member(X0,sK0)
      | ~ member(X0,sK2) ),
    inference(cnf_transformation,[],[f27]) ).

tcf(c_53,negated_conjecture,
    ! [X0: $i] :
      ( member(X0,sK2)
      | member(X0,sK0)
      | ~ member(X0,sK1) ),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ member(sK3(X0,X1),X1)
      | ~ member(sK3(X0,X1),X0) ),
    inference(cnf_transformation,[],[f34]) ).

tcf(c_55,plain,
    ! [X0: $i,X1: $i] :
      ( member(sK3(X0,X1),X1)
      | member(sK3(X0,X1),X0)
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f33]) ).

tcf(c_60,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X0,union(X1,X2))
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_61,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X0,union(X2,X1))
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_62,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X0,X2)
      | member(X0,X1)
      | ~ member(X0,union(X1,X2)) ),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_63,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X0,X2)
      | member(X0,difference(X1,X2))
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[],[f45]) ).

tcf(c_64,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X0,X1)
      | ~ member(X0,difference(X1,X2)) ),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_65,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ member(X0,X2)
      | ~ member(X0,difference(X1,X2)) ),
    inference(cnf_transformation,[],[f43]) ).

tcf(c_874,plain,
    ( ( union(difference(sK1,sK2),difference(sK2,sK1)) = sK0 )
    | ~ member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),sK0)
    | ~ member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),union(difference(sK1,sK2),difference(sK2,sK1))) ),
    inference(instantiation,[status(thm)],[c_54]) ).

tcf(c_875,plain,
    ( member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),sK0)
    | member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),union(difference(sK1,sK2),difference(sK2,sK1)))
    | ( union(difference(sK1,sK2),difference(sK2,sK1)) = sK0 ) ),
    inference(instantiation,[status(thm)],[c_55]) ).

tcf(c_884,plain,
    ( member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),difference(sK2,sK1))
    | member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),difference(sK1,sK2))
    | ~ member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),union(difference(sK1,sK2),difference(sK2,sK1))) ),
    inference(instantiation,[status(thm)],[c_62]) ).

tcf(c_1395,plain,
    ( member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),sK2)
    | member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),sK1)
    | ~ member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),sK0) ),
    inference(instantiation,[status(thm)],[c_51]) ).

tcf(c_1396,plain,
    ( ~ member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),sK2)
    | ~ member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),sK1)
    | ~ member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),sK0) ),
    inference(instantiation,[status(thm)],[c_50]) ).

tcf(c_2262,plain,
    ( member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),sK1)
    | member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),sK0)
    | ~ member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),sK2) ),
    inference(instantiation,[status(thm)],[c_52]) ).

tcf(c_2263,plain,
    ! [X0: $i] :
      ( member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),X0)
      | member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),difference(sK2,X0))
      | ~ member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),sK2) ),
    inference(instantiation,[status(thm)],[c_63]) ).

tcf(c_2268,plain,
    ( member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),sK1)
    | member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),difference(sK2,sK1))
    | ~ member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),sK2) ),
    inference(instantiation,[status(thm)],[c_2263]) ).

tcf(c_2269,plain,
    ! [X0: $i] :
      ( ~ member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),sK2)
      | ~ member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),difference(X0,sK2)) ),
    inference(instantiation,[status(thm)],[c_65]) ).

tcf(c_2270,plain,
    ( ~ member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),sK2)
    | ~ member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),difference(sK1,sK2)) ),
    inference(instantiation,[status(thm)],[c_2269]) ).

tcf(c_2833,plain,
    ( member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),sK1)
    | ~ member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),difference(sK1,sK2)) ),
    inference(instantiation,[status(thm)],[c_64]) ).

tcf(c_4285,plain,
    ( member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),sK2)
    | member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),sK0)
    | ~ member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),sK1) ),
    inference(instantiation,[status(thm)],[c_53]) ).

tcf(c_4286,plain,
    ! [X0: $i,X1: $i] :
      ( member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),X1)
      | member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),difference(X0,X1))
      | ~ member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),X0) ),
    inference(instantiation,[status(thm)],[c_63]) ).

tcf(c_4295,plain,
    ! [X0: $i,X1: $i] :
      ( member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),X0)
      | ~ member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),difference(X0,X1)) ),
    inference(instantiation,[status(thm)],[c_64]) ).

tcf(c_4298,plain,
    ! [X0: $i,X1: $i] :
      ( ~ member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),X1)
      | ~ member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),difference(X0,X1)) ),
    inference(instantiation,[status(thm)],[c_65]) ).

tcf(c_10653,plain,
    ! [X0: $i] :
      ( member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),X0),union(difference(sK1,sK2),difference(sK2,sK1)))
      | ~ member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),X0),difference(sK1,sK2)) ),
    inference(instantiation,[status(thm)],[c_60]) ).

tcf(c_10655,plain,
    ! [X0: $i] :
      ( member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),X0),union(difference(sK1,sK2),difference(sK2,sK1)))
      | ~ member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),X0),difference(sK2,sK1)) ),
    inference(instantiation,[status(thm)],[c_61]) ).

tcf(c_31097,plain,
    ( member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),union(difference(sK1,sK2),difference(sK2,sK1)))
    | ~ member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),difference(sK1,sK2)) ),
    inference(instantiation,[status(thm)],[c_10653]) ).

tcf(c_31110,plain,
    ( member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),union(difference(sK1,sK2),difference(sK2,sK1)))
    | ~ member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),difference(sK2,sK1)) ),
    inference(instantiation,[status(thm)],[c_10655]) ).

tcf(c_31937,plain,
    ! [X0: $i] :
      ( member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),sK2)
      | ~ member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),difference(sK2,X0)) ),
    inference(instantiation,[status(thm)],[c_4295]) ).

tcf(c_31938,plain,
    ( member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),sK2)
    | ~ member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),difference(sK2,sK1)) ),
    inference(instantiation,[status(thm)],[c_31937]) ).

tcf(c_31963,plain,
    ( ~ member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),sK1)
    | ~ member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),difference(sK2,sK1)) ),
    inference(instantiation,[status(thm)],[c_4298]) ).

tcf(c_36653,plain,
    ! [X0: $i] :
      ( member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),sK2)
      | member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),difference(X0,sK2))
      | ~ member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),X0) ),
    inference(instantiation,[status(thm)],[c_4286]) ).

tcf(c_36654,plain,
    ( member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),sK2)
    | member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),difference(sK1,sK2))
    | ~ member(sK3(union(difference(sK1,sK2),difference(sK2,sK1)),sK0),sK1) ),
    inference(instantiation,[status(thm)],[c_36653]) ).

tcf(c_40831,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_36654,c_31963,c_31938,c_31110,c_31097,c_4285,c_2833,c_2270,c_2268,c_2262,c_1395,c_1396,c_884,c_875,c_874,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET582+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.58  % Computer : n016.cluster.edu
% 0.11/0.58  % Model    : x86_64 x86_64
% 0.11/0.58  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.58  % Memory   : 8046.5625MB
% 0.11/0.58  % OS       : Linux 6.8.0-71-generic
% 0.11/0.58  % CPULimit : 300
% 0.11/0.58  % WCLimit  : 300
% 0.11/0.58  % DateTime : Thu Sep 24 11:25:28 UTC 2026
% 0.11/0.58  % CPUTime  : 
% 0.11/0.58  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.62  Running first-order theorem proving
% 0.11/0.62  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
% 0.15/0.63  
% 0.15/0.63  % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.63  
% 0.15/0.64  % Detected problem language: tptp
% 0.15/0.65  % Proving...
% 10.69/2.95  % SZS status Started for theBenchmark.p
% 10.69/2.95  % SZS status Theorem for theBenchmark.p
% 10.69/2.95  
% 10.69/2.95  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.69/2.95  
% 10.69/2.95  % ------  iProver source info
% 10.69/2.95  
% 10.69/2.95  % git: date: 2026-07-19 20:42:38 +0200
% 10.69/2.95  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.69/2.95  % git: non_committed_changes: false
% 10.69/2.95  
% 10.69/2.95  % ------ Parsing...
% 10.69/2.95  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 10.69/2.95  
% 10.69/2.95  % ------ Preprocessing... sup_sim: 0  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 % 
% 10.69/2.95  
% 10.69/2.95  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 10.69/2.95  
% 10.69/2.95  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 10.69/2.95  % ------ Proving...
% 10.69/2.95  % ------ Problem Properties 
% 10.69/2.95  
% 10.69/2.95  % 
% 10.69/2.95  % clauses                               16
% 10.69/2.95  % conjectures                           5
% 10.69/2.95  % EPR                                   4
% 10.69/2.95  % Horn                                  9
% 10.69/2.95  % unary                                 2
% 10.69/2.95  % binary                                4
% 10.69/2.95  % lits                                  40
% 10.69/2.95  % lits eq                               6
% 10.69/2.95  % fd_pure                               0
% 10.69/2.95  % fd_pseudo                             0
% 10.69/2.95  % fd_cond                               0
% 10.69/2.95  % fd_pseudo_cond                        4
% 10.69/2.95  % AC symbols                            0
% 10.69/2.95  
% 10.69/2.95  % ------ Schedule dynamic 5 is on 
% 10.69/2.95  
% 10.69/2.95  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.69/2.95  
% 10.69/2.95  
% 10.69/2.95  % ------ 
% 10.69/2.95  % Current options:
% 10.69/2.95  % ------ 
% 10.69/2.95  
% 10.69/2.95  
% 10.69/2.95  % 
% 10.69/2.95  
% 10.69/2.95  % ------ Proving...
% 10.69/2.95  % 
% 10.69/2.95  
% 10.69/2.95  % SZS status Theorem for theBenchmark.p
% 10.69/2.95  
% 10.69/2.95  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.69/2.96  
% 10.69/2.96  
%------------------------------------------------------------------------------