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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SET171+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 : n008.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 02:46:49 PM UTC 2026

% Result   : Theorem 10.54s 2.30s
% Output   : CNFRefutation 10.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   59 (   7 unt;   0 def)
%            Number of atoms       :  171 (  19 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  192 (  80   ~;  90   |;  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   :   98 (   0 sgn  93   !;   5   ?;  35   :)

% 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,intersection(X0,X1))
    <=> ( member(X2,X1)
        & member(X2,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( X0 = X1
    <=> ! [X2] :
          ( member(X2,X0)
        <=> member(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn) ).

fof(f9,conjecture,
    ! [X0,X1,X2] : union(X0,intersection(X1,X2)) = intersection(union(X0,X1),union(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_union_distributes_over_intersection) ).

fof(f10,negated_conjecture,
    ~ ! [X0,X1,X2] : union(X0,intersection(X1,X2)) = intersection(union(X0,X1),union(X0,X2)),
    inference(negated_conjecture,[status(cth)],[f9]) ).

fof(f11,plain,
    ? [X0,X1,X2] : union(X0,intersection(X1,X2)) != intersection(union(X0,X1),union(X0,X2)),
    inference(ennf_transformation,[],[f10]) ).

fof(f13,plain,
    union(sK0,intersection(sK1,sK2)) != intersection(union(sK0,sK1),union(sK0,sK2)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f11]) ).

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

fof(f16,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))],[f15]) ).

fof(f17,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(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(flattening,[],[f17]) ).

fof(f19,plain,
    ! [X0,X1,X2] :
      ( ( ~ member(X2,intersection(X0,X1))
        | ( member(X2,X1)
          & member(X2,X0) ) )
      & ( ~ member(X2,X1)
        | ~ member(X2,X0)
        | member(X2,intersection(X0,X1)) ) ),
    inference(nnf_transformation,[],[f2]) ).

fof(f20,plain,
    ! [X0,X1,X2] :
      ( ( ~ member(X2,intersection(X0,X1))
        | ( member(X2,X1)
          & member(X2,X0) ) )
      & ( ~ member(X2,X1)
        | ~ member(X2,X0)
        | member(X2,intersection(X0,X1)) ) ),
    inference(flattening,[],[f19]) ).

fof(f26,plain,
    union(sK0,intersection(sK1,sK2)) != intersection(union(sK0,sK1),union(sK0,sK2)),
    inference(cnf_transformation,[],[f13]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( member(sK3(X0,X1),X0)
      | member(sK3(X0,X1),X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f16]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ~ member(sK3(X0,X1),X0)
      | ~ member(sK3(X0,X1),X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f16]) ).

fof(f32,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,union(X0,X1))
      | member(X2,X1)
      | member(X2,X0) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f33,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,X1)
      | member(X2,union(X0,X1)) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f34,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,X0)
      | member(X2,union(X0,X1)) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f36,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,intersection(X0,X1))
      | member(X2,X1) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f37,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,intersection(X0,X1))
      | member(X2,X0) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f38,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,X1)
      | ~ member(X2,X0)
      | member(X2,intersection(X0,X1)) ),
    inference(cnf_transformation,[],[f20]) ).

tcf(c_49,negated_conjecture,
    intersection(union(sK0,sK1),union(sK0,sK2)) != union(sK0,intersection(sK1,sK2)),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ member(sK3(X0,X1),X1)
      | ~ member(sK3(X0,X1),X0) ),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_51,plain,
    ! [X0: $i,X1: $i] :
      ( member(sK3(X0,X1),X1)
      | member(sK3(X0,X1),X0)
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f29]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X0,union(X1,X2))
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[],[f34]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X0,union(X2,X1))
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[],[f33]) ).

tcf(c_55,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X0,X2)
      | member(X0,X1)
      | ~ member(X0,union(X1,X2)) ),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_57,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X0,intersection(X1,X2))
      | ~ member(X0,X2)
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[],[f38]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X0,X1)
      | ~ member(X0,intersection(X1,X2)) ),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_59,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X0,X2)
      | ~ member(X0,intersection(X1,X2)) ),
    inference(cnf_transformation,[],[f36]) ).

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

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

tcf(c_753,plain,
    ( member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),union(sK0,sK2))
    | ~ member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),intersection(union(sK0,sK1),union(sK0,sK2))) ),
    inference(instantiation,[status(thm)],[c_59]) ).

tcf(c_754,plain,
    ( member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),union(sK0,sK1))
    | ~ member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),intersection(union(sK0,sK1),union(sK0,sK2))) ),
    inference(instantiation,[status(thm)],[c_58]) ).

tcf(c_1029,plain,
    ( member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),sK0)
    | member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),intersection(sK1,sK2))
    | ~ member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),union(sK0,intersection(sK1,sK2))) ),
    inference(instantiation,[status(thm)],[c_55]) ).

tcf(c_1684,plain,
    ( member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),sK2)
    | member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),sK0)
    | ~ member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),union(sK0,sK2)) ),
    inference(instantiation,[status(thm)],[c_55]) ).

tcf(c_1780,plain,
    ! [X0: $i] :
      ( member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),intersection(union(sK0,sK1),X0))
      | ~ member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),X0)
      | ~ member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),union(sK0,sK1)) ),
    inference(instantiation,[status(thm)],[c_57]) ).

tcf(c_1787,plain,
    ( member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),sK1)
    | member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),sK0)
    | ~ member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),union(sK0,sK1)) ),
    inference(instantiation,[status(thm)],[c_55]) ).

tcf(c_3433,plain,
    ! [X0: $i] :
      ( member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),union(sK0,X0))
      | ~ member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),sK0) ),
    inference(instantiation,[status(thm)],[c_53]) ).

tcf(c_3714,plain,
    ! [X0: $i,X1: $i] :
      ( member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),intersection(X0,X1))
      | ~ member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),X1)
      | ~ member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),X0) ),
    inference(instantiation,[status(thm)],[c_57]) ).

tcf(c_3715,plain,
    ! [X0: $i,X1: $i] :
      ( member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),union(X1,X0))
      | ~ member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),X0) ),
    inference(instantiation,[status(thm)],[c_54]) ).

tcf(c_3722,plain,
    ! [X0: $i,X1: $i] :
      ( member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),X1)
      | ~ member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),intersection(X0,X1)) ),
    inference(instantiation,[status(thm)],[c_59]) ).

tcf(c_3723,plain,
    ! [X0: $i,X1: $i] :
      ( member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),X0)
      | ~ member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),intersection(X0,X1)) ),
    inference(instantiation,[status(thm)],[c_58]) ).

tcf(c_5897,plain,
    ( member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),intersection(union(sK0,sK1),union(sK0,sK2)))
    | ~ member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),union(sK0,sK2))
    | ~ member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),union(sK0,sK1)) ),
    inference(instantiation,[status(thm)],[c_1780]) ).

tcf(c_9357,plain,
    ! [X0: $i] :
      ( member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),union(X0,intersection(sK1,sK2)))
      | ~ member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),intersection(sK1,sK2)) ),
    inference(instantiation,[status(thm)],[c_3715]) ).

tcf(c_9358,plain,
    ( member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),union(sK0,intersection(sK1,sK2)))
    | ~ member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),intersection(sK1,sK2)) ),
    inference(instantiation,[status(thm)],[c_9357]) ).

tcf(c_9363,plain,
    ! [X0: $i] :
      ( member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),union(X0,sK2))
      | ~ member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),sK2) ),
    inference(instantiation,[status(thm)],[c_3715]) ).

tcf(c_9364,plain,
    ( member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),union(sK0,sK2))
    | ~ member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),sK2) ),
    inference(instantiation,[status(thm)],[c_9363]) ).

tcf(c_9369,plain,
    ! [X0: $i] :
      ( member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),union(X0,sK1))
      | ~ member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),sK1) ),
    inference(instantiation,[status(thm)],[c_3715]) ).

tcf(c_9370,plain,
    ( member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),union(sK0,sK1))
    | ~ member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),sK1) ),
    inference(instantiation,[status(thm)],[c_9369]) ).

tcf(c_9960,plain,
    ( member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),sK2)
    | ~ member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),intersection(sK1,sK2)) ),
    inference(instantiation,[status(thm)],[c_3722]) ).

tcf(c_9972,plain,
    ( member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),sK1)
    | ~ member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),intersection(sK1,sK2)) ),
    inference(instantiation,[status(thm)],[c_3723]) ).

tcf(c_12972,plain,
    ( member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),union(sK0,intersection(sK1,sK2)))
    | ~ member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),sK0) ),
    inference(instantiation,[status(thm)],[c_3433]) ).

tcf(c_18909,plain,
    ( member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),union(sK0,sK1))
    | ~ member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),sK0) ),
    inference(instantiation,[status(thm)],[c_3433]) ).

tcf(c_18988,plain,
    ( member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),union(sK0,sK2))
    | ~ member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),sK0) ),
    inference(instantiation,[status(thm)],[c_3433]) ).

tcf(c_20613,plain,
    ( member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),intersection(sK1,sK2))
    | ~ member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),sK2)
    | ~ member(sK3(intersection(union(sK0,sK1),union(sK0,sK2)),union(sK0,intersection(sK1,sK2))),sK1) ),
    inference(instantiation,[status(thm)],[c_3714]) ).

tcf(c_27692,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_20613,c_18988,c_18909,c_12972,c_9972,c_9960,c_9370,c_9364,c_9358,c_5897,c_1787,c_1684,c_1029,c_753,c_754,c_719,c_718,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET171+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.38  % Computer : n008.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Thu Sep 24 10:08:09 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.42  Running first-order theorem proving
% 0.10/0.42  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
% 0.10/0.43  
% 0.10/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43  
% 0.10/0.43  % Detected problem language: tptp
% 0.10/0.44  % Proving...
% 10.54/2.30  % SZS status Started for theBenchmark.p
% 10.54/2.30  % SZS status Theorem for theBenchmark.p
% 10.54/2.30  
% 10.54/2.30  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.54/2.30  
% 10.54/2.30  % ------  iProver source info
% 10.54/2.30  
% 10.54/2.30  % git: date: 2026-07-19 20:42:38 +0200
% 10.54/2.30  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.54/2.30  % git: non_committed_changes: false
% 10.54/2.30  
% 10.54/2.30  % ------ Parsing...
% 10.54/2.30  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 10.54/2.30  
% 10.54/2.30  % ------ 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 % 
% 10.54/2.30  
% 10.54/2.30  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 10.54/2.30  
% 10.54/2.30  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 10.54/2.30  % ------ Proving...
% 10.54/2.30  % ------ Problem Properties 
% 10.54/2.30  
% 10.54/2.30  % 
% 10.54/2.30  % clauses                               16
% 10.54/2.30  % conjectures                           1
% 10.54/2.30  % EPR                                   3
% 10.54/2.30  % Horn                                  13
% 10.54/2.30  % unary                                 4
% 10.54/2.30  % binary                                6
% 10.54/2.30  % lits                                  34
% 10.54/2.30  % lits eq                               6
% 10.54/2.30  % fd_pure                               0
% 10.54/2.30  % fd_pseudo                             0
% 10.54/2.30  % fd_cond                               0
% 10.54/2.30  % fd_pseudo_cond                        3
% 10.54/2.30  % AC symbols                            0
% 10.54/2.30  
% 10.54/2.30  % ------ Schedule dynamic 5 is on 
% 10.54/2.30  
% 10.54/2.30  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.54/2.30  
% 10.54/2.30  
% 10.54/2.30  % ------ 
% 10.54/2.30  % Current options:
% 10.54/2.30  % ------ 
% 10.54/2.30  
% 10.54/2.30  
% 10.54/2.30  % 
% 10.54/2.30  
% 10.54/2.30  % ------ Proving...
% 10.54/2.30  % 
% 10.54/2.30  
% 10.54/2.30  % SZS status Theorem for theBenchmark.p
% 10.54/2.30  
% 10.54/2.30  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.54/2.31  
% 10.54/2.31  
%------------------------------------------------------------------------------