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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SET615+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n014.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 02:47:34 PM UTC 2026

% Result   : Theorem 27.44s 6.39s
% Output   : CNFRefutation 27.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   59 (   7 unt;   0 def)
%            Number of atoms       :  173 (  19 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  195 (  81   ~;  92   |;  18   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    4 (   2 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    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   99 (   0 sgn  94   !;   5   ?;  36   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1,X2] :
      ( member(X2,union(X0,X1))
    <=> ( member(X2,X1)
        | member(X2,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( member(X2,difference(X0,X1))
    <=> ( ~ member(X2,X1)
        & member(X2,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( X0 = X1
    <=> ! [X2] :
          ( member(X2,X0)
        <=> member(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn) ).

fof(f8,conjecture,
    ! [X0,X1,X2] : difference(union(X0,X1),X2) = union(difference(X0,X2),difference(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_difference_distributes_over_union) ).

fof(f9,negated_conjecture,
    ~ ! [X0,X1,X2] : difference(union(X0,X1),X2) = union(difference(X0,X2),difference(X1,X2)),
    inference(negated_conjecture,[status(cth)],[f8]) ).

fof(f10,plain,
    ? [X0,X1,X2] : difference(union(X0,X1),X2) != union(difference(X0,X2),difference(X1,X2)),
    inference(ennf_transformation,[],[f9]) ).

fof(f12,plain,
    difference(union(sK0,sK1),sK2) != union(difference(sK0,sK2),difference(sK1,sK2)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f10]) ).

fof(f13,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,[],[f7]) ).

fof(f14,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,[],[f13]) ).

fof(f15,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))],[f14]) ).

fof(f18,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,[],[f1]) ).

fof(f19,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,[],[f18]) ).

fof(f20,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,[],[f2]) ).

fof(f21,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,[],[f20]) ).

fof(f25,plain,
    difference(union(sK0,sK1),sK2) != union(difference(sK0,sK2),difference(sK1,sK2)),
    inference(cnf_transformation,[],[f12]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( member(sK3(X0,X1),X0)
      | member(sK3(X0,X1),X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f15]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ~ member(sK3(X0,X1),X0)
      | ~ member(sK3(X0,X1),X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f15]) ).

fof(f34,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,union(X0,X1))
      | member(X2,X1)
      | member(X2,X0) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f35,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,X1)
      | member(X2,union(X0,X1)) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f36,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,X0)
      | member(X2,union(X0,X1)) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f37,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,difference(X0,X1))
      | ~ member(X2,X1) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f38,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,difference(X0,X1))
      | member(X2,X0) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f39,plain,
    ! [X2,X0,X1] :
      ( member(X2,X1)
      | ~ member(X2,X0)
      | member(X2,difference(X0,X1)) ),
    inference(cnf_transformation,[],[f21]) ).

tcf(c_49,negated_conjecture,
    union(difference(sK0,sK2),difference(sK1,sK2)) != difference(union(sK0,sK1),sK2),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ member(sK3(X0,X1),X1)
      | ~ member(sK3(X0,X1),X0) ),
    inference(cnf_transformation,[],[f29]) ).

tcf(c_51,plain,
    ! [X0: $i,X1: $i] :
      ( member(sK3(X0,X1),X1)
      | member(sK3(X0,X1),X0)
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X0,union(X1,X2))
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_57,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X0,union(X2,X1))
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X0,X2)
      | member(X0,X1)
      | ~ member(X0,union(X1,X2)) ),
    inference(cnf_transformation,[],[f34]) ).

tcf(c_59,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X0,X2)
      | member(X0,difference(X1,X2))
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[],[f39]) ).

tcf(c_60,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X0,X1)
      | ~ member(X0,difference(X1,X2)) ),
    inference(cnf_transformation,[],[f38]) ).

tcf(c_61,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ member(X0,X2)
      | ~ member(X0,difference(X1,X2)) ),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_718,plain,
    ( ( union(difference(sK0,sK2),difference(sK1,sK2)) = difference(union(sK0,sK1),sK2) )
    | ~ member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),difference(union(sK0,sK1),sK2))
    | ~ member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),union(difference(sK0,sK2),difference(sK1,sK2))) ),
    inference(instantiation,[status(thm)],[c_50]) ).

tcf(c_719,plain,
    ( member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),difference(union(sK0,sK1),sK2))
    | member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),union(difference(sK0,sK2),difference(sK1,sK2)))
    | ( union(difference(sK0,sK2),difference(sK1,sK2)) = difference(union(sK0,sK1),sK2) ) ),
    inference(instantiation,[status(thm)],[c_51]) ).

tcf(c_736,plain,
    ( member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),difference(sK1,sK2))
    | member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),difference(sK0,sK2))
    | ~ member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),union(difference(sK0,sK2),difference(sK1,sK2))) ),
    inference(instantiation,[status(thm)],[c_58]) ).

tcf(c_1154,plain,
    ( member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),union(sK0,sK1))
    | ~ member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),difference(union(sK0,sK1),sK2)) ),
    inference(instantiation,[status(thm)],[c_60]) ).

tcf(c_1667,plain,
    ( member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),sK0)
    | ~ member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),difference(sK0,sK2)) ),
    inference(instantiation,[status(thm)],[c_60]) ).

tcf(c_2065,plain,
    ! [X0: $i] :
      ( member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),X0)
      | member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),difference(union(sK0,sK1),X0))
      | ~ member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),union(sK0,sK1)) ),
    inference(instantiation,[status(thm)],[c_59]) ).

tcf(c_2070,plain,
    ( member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),sK2)
    | member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),difference(union(sK0,sK1),sK2))
    | ~ member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),union(sK0,sK1)) ),
    inference(instantiation,[status(thm)],[c_2065]) ).

tcf(c_2072,plain,
    ( member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),sK1)
    | member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),sK0)
    | ~ member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),union(sK0,sK1)) ),
    inference(instantiation,[status(thm)],[c_58]) ).

tcf(c_2367,plain,
    ! [X0: $i,X1: $i] :
      ( member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),X1)
      | member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),difference(X0,X1))
      | ~ member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),X0) ),
    inference(instantiation,[status(thm)],[c_59]) ).

tcf(c_2368,plain,
    ! [X0: $i,X1: $i] :
      ( member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),union(X1,X0))
      | ~ member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),X0) ),
    inference(instantiation,[status(thm)],[c_57]) ).

tcf(c_2369,plain,
    ! [X0: $i,X1: $i] :
      ( member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),union(X0,X1))
      | ~ member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),X0) ),
    inference(instantiation,[status(thm)],[c_56]) ).

tcf(c_2376,plain,
    ! [X0: $i,X1: $i] :
      ( member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),X0)
      | ~ member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),difference(X0,X1)) ),
    inference(instantiation,[status(thm)],[c_60]) ).

tcf(c_2379,plain,
    ! [X0: $i,X1: $i] :
      ( ~ member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),X1)
      | ~ member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),difference(X0,X1)) ),
    inference(instantiation,[status(thm)],[c_61]) ).

tcf(c_10127,plain,
    ( member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),union(sK0,sK1))
    | ~ member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),sK1) ),
    inference(instantiation,[status(thm)],[c_2368]) ).

tcf(c_10128,plain,
    ( member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),union(sK0,sK1))
    | ~ member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),sK0) ),
    inference(instantiation,[status(thm)],[c_2369]) ).

tcf(c_10283,plain,
    ( ~ member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),sK2)
    | ~ member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),difference(sK1,sK2)) ),
    inference(instantiation,[status(thm)],[c_2379]) ).

tcf(c_11889,plain,
    ! [X0: $i] :
      ( member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),X0),union(difference(sK0,sK2),difference(sK1,sK2)))
      | ~ member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),X0),difference(sK1,sK2)) ),
    inference(instantiation,[status(thm)],[c_57]) ).

tcf(c_20762,plain,
    ( member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),sK1)
    | ~ member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),difference(sK1,sK2)) ),
    inference(instantiation,[status(thm)],[c_2376]) ).

tcf(c_31414,plain,
    ( ~ member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),sK2)
    | ~ member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),difference(sK0,sK2)) ),
    inference(instantiation,[status(thm)],[c_2379]) ).

tcf(c_40108,plain,
    ( ~ member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),sK2)
    | ~ member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),difference(union(sK0,sK1),sK2)) ),
    inference(instantiation,[status(thm)],[c_2379]) ).

tcf(c_40400,plain,
    ( member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),union(difference(sK0,sK2),difference(sK1,sK2)))
    | ~ member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),difference(sK0,sK2)) ),
    inference(instantiation,[status(thm)],[c_2369]) ).

tcf(c_58487,plain,
    ( member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),union(difference(sK0,sK2),difference(sK1,sK2)))
    | ~ member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),difference(sK1,sK2)) ),
    inference(instantiation,[status(thm)],[c_11889]) ).

tcf(c_72751,plain,
    ! [X0: $i] :
      ( member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),X0)
      | member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),difference(sK1,X0))
      | ~ member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),sK1) ),
    inference(instantiation,[status(thm)],[c_2367]) ).

tcf(c_72752,plain,
    ( member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),sK2)
    | member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),difference(sK1,sK2))
    | ~ member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),sK1) ),
    inference(instantiation,[status(thm)],[c_72751]) ).

tcf(c_85257,plain,
    ! [X0: $i] :
      ( member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),X0)
      | member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),difference(sK0,X0))
      | ~ member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),sK0) ),
    inference(instantiation,[status(thm)],[c_2367]) ).

tcf(c_85266,plain,
    ( member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),sK2)
    | member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),difference(sK0,sK2))
    | ~ member(sK3(union(difference(sK0,sK2),difference(sK1,sK2)),difference(union(sK0,sK1),sK2)),sK0) ),
    inference(instantiation,[status(thm)],[c_85257]) ).

tcf(c_85267,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_85266,c_72752,c_58487,c_40400,c_40108,c_31414,c_20762,c_10283,c_10128,c_10127,c_2072,c_2070,c_1667,c_1154,c_736,c_719,c_718,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SET615+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.07/0.33  % Computer : n014.cluster.edu
% 0.07/0.33  % Model    : x86_64 x86_64
% 0.07/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33  % Memory   : 8046.5625MB
% 0.07/0.33  % OS       : Linux 6.8.0-71-generic
% 0.07/0.33  % CPULimit : 300
% 0.07/0.33  % WCLimit  : 300
% 0.07/0.33  % DateTime : Thu Sep 24 11:28:02 UTC 2026
% 0.07/0.33  % CPUTime  : 
% 0.07/0.33  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.38  Running first-order theorem proving
% 0.11/0.38  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
% 0.11/0.39  
% 0.11/0.39  % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.39  
% 0.11/0.39  % Detected problem language: tptp
% 0.11/0.40  % Proving...
% 27.44/6.39  % SZS status Started for theBenchmark.p
% 27.44/6.39  % SZS status Theorem for theBenchmark.p
% 27.44/6.39  
% 27.44/6.39  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 27.44/6.39  
% 27.44/6.39  % ------  iProver source info
% 27.44/6.39  
% 27.44/6.39  % git: date: 2026-07-19 20:42:38 +0200
% 27.44/6.39  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 27.44/6.39  % git: non_committed_changes: false
% 27.44/6.39  
% 27.44/6.39  % ------ Parsing...
% 27.44/6.39  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 27.44/6.39  
% 27.44/6.39  % ------ 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 % 
% 27.44/6.39  
% 27.44/6.39  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 27.44/6.39  
% 27.44/6.39  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 27.44/6.39  % ------ Proving...
% 27.44/6.39  % ------ Problem Properties 
% 27.44/6.39  
% 27.44/6.39  % 
% 27.44/6.39  % clauses                               15
% 27.44/6.39  % conjectures                           1
% 27.44/6.39  % EPR                                   3
% 27.44/6.39  % Horn                                  11
% 27.44/6.39  % unary                                 3
% 27.44/6.39  % binary                                6
% 27.44/6.39  % lits                                  33
% 27.44/6.39  % lits eq                               5
% 27.44/6.39  % fd_pure                               0
% 27.44/6.39  % fd_pseudo                             0
% 27.44/6.39  % fd_cond                               0
% 27.44/6.39  % fd_pseudo_cond                        3
% 27.44/6.39  % AC symbols                            0
% 27.44/6.39  
% 27.44/6.39  % ------ Schedule dynamic 5 is on 
% 27.44/6.39  
% 27.44/6.39  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 27.44/6.39  
% 27.44/6.39  
% 27.44/6.39  % ------ 
% 27.44/6.39  % Current options:
% 27.44/6.39  % ------ 
% 27.44/6.39  
% 27.44/6.39  
% 27.44/6.39  % 
% 27.44/6.39  
% 27.44/6.39  % ------ Proving...
% 27.44/6.39  % 
% 27.44/6.39  
% 27.44/6.39  % SZS status Theorem for theBenchmark.p
% 27.44/6.39  
% 27.44/6.39  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 27.44/6.39  
% 27.44/6.39  
%------------------------------------------------------------------------------