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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SET614+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 : n002.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 12.61s 7.63s
% Output   : CNFRefutation 12.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   65 (  10 unt;   0 def)
%            Number of atoms       :  186 (  20 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  204 (  83   ~;  99   |;  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   :  105 (   0 sgn 100   !;   5   ?;  42   :)

% 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(difference(X0,X1),X2) = difference(X0,union(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_difference_difference_union) ).

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

fof(f11,plain,
    ? [X0,X1,X2] : difference(difference(X0,X1),X2) != difference(X0,union(X1,X2)),
    inference(ennf_transformation,[],[f9]) ).

fof(f12,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(f13,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,[],[f12]) ).

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

fof(f21,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(f22,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,[],[f21]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( ( X0 != X1
        | ! [X3] :
            ( ( ~ member(X3,X0)
              | member(X3,X1) )
            & ( ~ member(X3,X1)
              | member(X3,X0) ) ) )
      & ( ( ( member(sK1(X0,X1),X0)
            | member(sK1(X0,X1),X1) )
          & ( ~ member(sK1(X0,X1),X0)
            | ~ member(sK1(X0,X1),X1) ) )
        | X0 = X1 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f22]) ).

fof(f24,plain,
    difference(difference(sK2,sK3),sK4) != difference(sK2,union(sK3,sK4)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f11]) ).

fof(f25,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,union(X0,X1))
      | member(X2,X1)
      | member(X2,X0) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f26,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,X1)
      | member(X2,union(X0,X1)) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f27,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,X0)
      | member(X2,union(X0,X1)) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f28,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,difference(X0,X1))
      | ~ member(X2,X1) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f29,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,difference(X0,X1))
      | member(X2,X0) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f30,plain,
    ! [X2,X0,X1] :
      ( member(X2,X1)
      | ~ member(X2,X0)
      | member(X2,difference(X0,X1)) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( member(sK1(X0,X1),X0)
      | member(sK1(X0,X1),X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f23]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ~ member(sK1(X0,X1),X0)
      | ~ member(sK1(X0,X1),X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f23]) ).

fof(f43,plain,
    difference(difference(sK2,sK3),sK4) != difference(sK2,union(sK3,sK4)),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_49,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X0,union(X1,X2))
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[],[f27]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X0,union(X2,X1))
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_51,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X0,X2)
      | member(X0,X1)
      | ~ member(X0,union(X1,X2)) ),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_52,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X0,X2)
      | member(X0,difference(X1,X2))
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X0,X1)
      | ~ member(X0,difference(X1,X2)) ),
    inference(cnf_transformation,[],[f29]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ member(X0,X2)
      | ~ member(X0,difference(X1,X2)) ),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_63,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ member(sK1(X0,X1),X1)
      | ~ member(sK1(X0,X1),X0) ),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_64,plain,
    ! [X0: $i,X1: $i] :
      ( member(sK1(X0,X1),X1)
      | member(sK1(X0,X1),X0)
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_65,negated_conjecture,
    difference(difference(sK2,sK3),sK4) != difference(sK2,union(sK3,sK4)),
    inference(cnf_transformation,[],[f43]) ).

tcf(c_418,plain,
    ( member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),difference(sK2,union(sK3,sK4)))
    | member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),difference(difference(sK2,sK3),sK4))
    | ( difference(difference(sK2,sK3),sK4) = difference(sK2,union(sK3,sK4)) ) ),
    inference(instantiation,[status(thm)],[c_64]) ).

tcf(c_419,plain,
    ( member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),difference(sK2,union(sK3,sK4)))
    | member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),difference(difference(sK2,sK3),sK4))
    | ( difference(difference(sK2,sK3),sK4) = difference(sK2,union(sK3,sK4)) ) ),
    inference(instantiation,[status(thm)],[c_64]) ).

tcf(c_420,plain,
    ( member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),difference(sK2,union(sK3,sK4)))
    | member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),difference(difference(sK2,sK3),sK4)) ),
    inference(global_subsumption_just,[status(thm)],[c_419,c_65,c_418]) ).

tcf(c_430,plain,
    ( ~ member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),sK4)
    | ~ member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),difference(difference(sK2,sK3),sK4)) ),
    inference(instantiation,[status(thm)],[c_54]) ).

tcf(c_431,plain,
    ( member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),difference(sK2,sK3))
    | ~ member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),difference(difference(sK2,sK3),sK4)) ),
    inference(instantiation,[status(thm)],[c_53]) ).

tcf(c_432,plain,
    ( ( difference(difference(sK2,sK3),sK4) = difference(sK2,union(sK3,sK4)) )
    | ~ member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),difference(sK2,union(sK3,sK4)))
    | ~ member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),difference(difference(sK2,sK3),sK4)) ),
    inference(instantiation,[status(thm)],[c_63]) ).

tcf(c_446,plain,
    ( ~ member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),union(sK3,sK4))
    | ~ member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),difference(sK2,union(sK3,sK4))) ),
    inference(instantiation,[status(thm)],[c_54]) ).

tcf(c_447,plain,
    ( member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),sK2)
    | ~ member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),difference(sK2,union(sK3,sK4))) ),
    inference(instantiation,[status(thm)],[c_53]) ).

tcf(c_469,plain,
    ! [X0: $i,X1: $i] :
      ( member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),X1)
      | member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),difference(X0,X1))
      | ~ member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),X0) ),
    inference(instantiation,[status(thm)],[c_52]) ).

tcf(c_471,plain,
    ! [X0: $i,X1: $i] :
      ( member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),union(X0,X1))
      | ~ member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),X0) ),
    inference(instantiation,[status(thm)],[c_49]) ).

tcf(c_472,plain,
    ! [X0: $i,X1: $i] :
      ( member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),union(X1,X0))
      | ~ member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),X0) ),
    inference(instantiation,[status(thm)],[c_50]) ).

tcf(c_515,plain,
    ( ~ member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),sK3)
    | ~ member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),difference(sK2,sK3)) ),
    inference(instantiation,[status(thm)],[c_54]) ).

tcf(c_516,plain,
    ( member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),sK2)
    | ~ member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),difference(sK2,sK3)) ),
    inference(instantiation,[status(thm)],[c_53]) ).

tcf(c_517,plain,
    member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),sK2),
    inference(global_subsumption_just,[status(thm)],[c_516,c_420,c_431,c_447,c_516]) ).

tcf(c_537,plain,
    ! [X0: $i] :
      ( member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),sK4)
      | member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),difference(X0,sK4))
      | ~ member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),X0) ),
    inference(instantiation,[status(thm)],[c_469]) ).

tcf(c_543,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),union(X1,X2))
      | member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),difference(X0,union(X1,X2)))
      | ~ member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),X0) ),
    inference(instantiation,[status(thm)],[c_469]) ).

tcf(c_565,plain,
    ! [X0: $i,X1: $i] :
      ( member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),X1)
      | member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),X0)
      | ~ member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),union(X0,X1)) ),
    inference(instantiation,[status(thm)],[c_51]) ).

tcf(c_644,plain,
    ! [X0: $i] :
      ( member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),sK3)
      | member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),difference(X0,sK3))
      | ~ member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),X0) ),
    inference(instantiation,[status(thm)],[c_469]) ).

tcf(c_645,plain,
    ( member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),sK3)
    | member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),difference(sK2,sK3))
    | ~ member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),sK2) ),
    inference(instantiation,[status(thm)],[c_644]) ).

tcf(c_660,plain,
    ( member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),union(sK3,sK4))
    | ~ member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),sK3) ),
    inference(instantiation,[status(thm)],[c_471]) ).

tcf(c_661,plain,
    ~ member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),sK3),
    inference(global_subsumption_just,[status(thm)],[c_660,c_65,c_418,c_431,c_446,c_515,c_660]) ).

tcf(c_663,plain,
    ( member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),union(sK3,sK4))
    | ~ member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),sK4) ),
    inference(instantiation,[status(thm)],[c_472]) ).

tcf(c_664,plain,
    ~ member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),sK4),
    inference(global_subsumption_just,[status(thm)],[c_663,c_65,c_418,c_430,c_446,c_663]) ).

tcf(c_712,plain,
    ! [X0: $i] :
      ( member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),union(sK3,sK4))
      | member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),difference(X0,union(sK3,sK4)))
      | ~ member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),X0) ),
    inference(instantiation,[status(thm)],[c_543]) ).

tcf(c_713,plain,
    ( member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),union(sK3,sK4))
    | member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),difference(sK2,union(sK3,sK4)))
    | ~ member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),sK2) ),
    inference(instantiation,[status(thm)],[c_712]) ).

tcf(c_738,plain,
    ! [X0: $i] :
      ( member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),sK4)
      | member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),X0)
      | ~ member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),union(X0,sK4)) ),
    inference(instantiation,[status(thm)],[c_565]) ).

tcf(c_829,plain,
    ( member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),sK4)
    | member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),difference(difference(sK2,sK3),sK4))
    | ~ member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),difference(sK2,sK3)) ),
    inference(instantiation,[status(thm)],[c_537]) ).

tcf(c_1177,plain,
    ! [X0: $i,X1: $i] :
      ( member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),X1)
      | member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),X0)
      | ~ member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),union(X0,X1)) ),
    inference(instantiation,[status(thm)],[c_51]) ).

tcf(c_1454,plain,
    ! [X0: $i] :
      ( member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),sK4)
      | member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),X0)
      | ~ member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),union(X0,sK4)) ),
    inference(instantiation,[status(thm)],[c_1177]) ).

tcf(c_1455,plain,
    ! [X0: $i] :
      ( ~ member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),union(X0,sK4))
      | member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),X0) ),
    inference(global_subsumption_just,[status(thm)],[c_1454,c_664,c_738]) ).

tcf(c_1456,plain,
    ! [X0: $i] :
      ( member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),X0)
      | ~ member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),union(X0,sK4)) ),
    inference(renaming,[status(thm)],[c_1455]) ).

tcf(c_2294,plain,
    ( member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),sK3)
    | ~ member(sK1(difference(difference(sK2,sK3),sK4),difference(sK2,union(sK3,sK4))),union(sK3,sK4)) ),
    inference(instantiation,[status(thm)],[c_1456]) ).

tcf(c_2295,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_2294,c_829,c_713,c_664,c_661,c_645,c_517,c_432,c_65]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET614+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/5.36  % Computer : n002.cluster.edu
% 0.08/5.36  % Model    : x86_64 x86_64
% 0.08/5.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36  % Memory   : 8046.5625MB
% 0.08/5.36  % OS       : Linux 6.8.0-71-generic
% 0.08/5.36  % CPULimit : 300
% 0.08/5.36  % WCLimit  : 300
% 0.08/5.36  % DateTime : Thu Sep 24 11:30:39 UTC 2026
% 0.08/5.36  % CPUTime  : 
% 0.08/5.36  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/5.40  Running first-order theorem proving
% 0.12/5.40  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
% 0.12/5.41  
% 0.12/5.41  % ======== iProver multi-core TPTP/SMT =========
% 0.12/5.41  
% 0.12/5.41  % Detected problem language: tptp
% 0.12/5.43  % Proving...
% 12.61/7.63  % SZS status Started for theBenchmark.p
% 12.61/7.63  % SZS status Theorem for theBenchmark.p
% 12.61/7.63  
% 12.61/7.63  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 12.61/7.63  
% 12.61/7.63  % ------  iProver source info
% 12.61/7.63  
% 12.61/7.63  % git: date: 2026-07-19 20:42:38 +0200
% 12.61/7.63  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 12.61/7.63  % git: non_committed_changes: false
% 12.61/7.63  
% 12.61/7.63  % ------ Parsing...
% 12.61/7.63  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 12.61/7.63  
% 12.61/7.63  % ------ 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 % 
% 12.61/7.63  
% 12.61/7.63  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 12.61/7.63  
% 12.61/7.63  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 12.61/7.63  % ------ Proving...
% 12.61/7.63  % ------ Problem Properties 
% 12.61/7.63  
% 12.61/7.63  % 
% 12.61/7.63  % clauses                               15
% 12.61/7.63  % conjectures                           1
% 12.61/7.63  % EPR                                   3
% 12.61/7.63  % Horn                                  11
% 12.61/7.63  % unary                                 3
% 12.61/7.63  % binary                                6
% 12.61/7.63  % lits                                  33
% 12.61/7.63  % lits eq                               5
% 12.61/7.63  % fd_pure                               0
% 12.61/7.63  % fd_pseudo                             0
% 12.61/7.63  % fd_cond                               0
% 12.61/7.63  % fd_pseudo_cond                        3
% 12.61/7.63  % AC symbols                            0
% 12.61/7.63  
% 12.61/7.63  % ------ Input Options Time Limit: Unbounded
% 12.61/7.63  
% 12.61/7.63  
% 12.61/7.63  % ------ 
% 12.61/7.63  % Current options:
% 12.61/7.63  % ------ 
% 12.61/7.63  
% 12.61/7.63  
% 12.61/7.63  % 
% 12.61/7.63  
% 12.61/7.63  % ------ Proving...
% 12.61/7.63  % 
% 12.61/7.63  
% 12.61/7.63  % SZS status Theorem for theBenchmark.p
% 12.61/7.63  
% 12.61/7.63  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 12.61/7.63  
% 12.61/7.63  
%------------------------------------------------------------------------------