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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SET018+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 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 02:46:05 PM UTC 2026

% Result   : Theorem 0.69s 1.29s
% Output   : CNFRefutation 0.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   84 (  28 unt;   0 def)
%            Number of atoms       :  188 ( 102 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  152 (  48   ~;  86   |;  15   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 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    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   70 (   0 sgn  62   !;   8   ?;  17   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X0,X1,X2] :
      ( member(X0,unordered_pair(X1,X2))
    <=> ( ( X0 = X2
          | X0 = X1 )
        & member(X0,universal_class) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',unordered_pair_defn) ).

fof(f5,axiom,
    ! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',unordered_pair) ).

fof(f6,axiom,
    ! [X0] : singleton(X0) = unordered_pair(X0,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',singleton_set_defn) ).

fof(f7,axiom,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',ordered_pair_defn) ).

fof(f44,conjecture,
    ! [X0,X1,X2,X3] :
      ( ( member(X1,universal_class)
        & ordered_pair(X0,X1) = ordered_pair(X2,X3) )
     => X1 = X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair_determines_components2) ).

fof(f45,negated_conjecture,
    ~ ! [X0,X1,X2,X3] :
        ( ( member(X1,universal_class)
          & ordered_pair(X0,X1) = ordered_pair(X2,X3) )
       => X1 = X3 ),
    inference(negated_conjecture,[status(cth)],[f44]) ).

fof(f60,plain,
    ? [X0,X1,X2,X3] :
      ( member(X1,universal_class)
      & ordered_pair(X0,X1) = ordered_pair(X2,X3)
      & X1 != X3 ),
    inference(ennf_transformation,[],[f45]) ).

fof(f61,plain,
    ? [X0,X1,X2,X3] :
      ( member(X1,universal_class)
      & ordered_pair(X0,X1) = ordered_pair(X2,X3)
      & X1 != X3 ),
    inference(flattening,[],[f60]) ).

fof(f67,plain,
    ! [X0,X1,X2] :
      ( ( ~ member(X0,unordered_pair(X1,X2))
        | ( ( X0 = X2
            | X0 = X1 )
          & member(X0,universal_class) ) )
      & ( ( X0 != X2
          & X0 != X1 )
        | ~ member(X0,universal_class)
        | member(X0,unordered_pair(X1,X2)) ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f68,plain,
    ! [X0,X1,X2] :
      ( ( ~ member(X0,unordered_pair(X1,X2))
        | ( ( X0 = X2
            | X0 = X1 )
          & member(X0,universal_class) ) )
      & ( ( X0 != X2
          & X0 != X1 )
        | ~ member(X0,universal_class)
        | member(X0,unordered_pair(X1,X2)) ) ),
    inference(flattening,[],[f67]) ).

fof(f104,plain,
    ( member(sK7,universal_class)
    & ordered_pair(sK6,sK7) = ordered_pair(sK8,sK9)
    & sK7 != sK9 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9]),skolemize(X0,sK6),skolemize(X1,sK7),skolemize(X2,sK8),skolemize(X3,sK9)],[f61]) ).

fof(f112,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,unordered_pair(X1,X2))
      | X0 = X2
      | X0 = X1 ),
    inference(cnf_transformation,[],[f68]) ).

fof(f113,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,unordered_pair(X1,X2))
      | member(X0,universal_class) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f114,plain,
    ! [X2,X0,X1] :
      ( X0 != X2
      | ~ member(X0,universal_class)
      | member(X0,unordered_pair(X1,X2)) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f115,plain,
    ! [X2,X0,X1] :
      ( X0 != X1
      | ~ member(X0,universal_class)
      | member(X0,unordered_pair(X1,X2)) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f116,plain,
    ! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
    inference(cnf_transformation,[],[f5]) ).

fof(f117,plain,
    ! [X0] : singleton(X0) = unordered_pair(X0,X0),
    inference(cnf_transformation,[],[f6]) ).

fof(f118,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))),
    inference(cnf_transformation,[],[f7]) ).

fof(f192,plain,
    member(sK7,universal_class),
    inference(cnf_transformation,[],[f104]) ).

fof(f193,plain,
    ordered_pair(sK6,sK7) = ordered_pair(sK8,sK9),
    inference(cnf_transformation,[],[f104]) ).

fof(f194,plain,
    sK7 != sK9,
    inference(cnf_transformation,[],[f104]) ).

fof(f195,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
    inference(definition_unfolding,[],[f118,f117,f117]) ).

fof(f232,plain,
    unordered_pair(unordered_pair(sK6,sK6),unordered_pair(sK6,unordered_pair(sK7,sK7))) = unordered_pair(unordered_pair(sK8,sK8),unordered_pair(sK8,unordered_pair(sK9,sK9))),
    inference(definition_unfolding,[],[f193,f195,f195]) ).

fof(f235,plain,
    ! [X2,X1] :
      ( ~ member(X1,universal_class)
      | member(X1,unordered_pair(X1,X2)) ),
    inference(equality_resolution,[],[f115]) ).

fof(f236,plain,
    ! [X2,X1] :
      ( ~ member(X2,universal_class)
      | member(X2,unordered_pair(X1,X2)) ),
    inference(equality_resolution,[],[f114]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i] :
      ( member(X0,unordered_pair(X0,X1))
      | ~ member(X0,universal_class) ),
    inference(cnf_transformation,[],[f235]) ).

tcf(c_57,plain,
    ! [X0: $i,X1: $i] :
      ( member(X0,unordered_pair(X1,X0))
      | ~ member(X0,universal_class) ),
    inference(cnf_transformation,[],[f236]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X0,universal_class)
      | ~ member(X0,unordered_pair(X1,X2)) ),
    inference(cnf_transformation,[],[f113]) ).

tcf(c_59,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0 = X2 )
      | ( X0 = X1 )
      | ~ member(X0,unordered_pair(X1,X2)) ),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_60,plain,
    ! [X0: $i,X1: $i] : member(unordered_pair(X0,X1),universal_class),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_128,negated_conjecture,
    sK7 != sK9,
    inference(cnf_transformation,[],[f194]) ).

tcf(c_129,negated_conjecture,
    unordered_pair(unordered_pair(sK6,sK6),unordered_pair(sK6,unordered_pair(sK7,sK7))) = unordered_pair(unordered_pair(sK8,sK8),unordered_pair(sK8,unordered_pair(sK9,sK9))),
    inference(cnf_transformation,[],[f232]) ).

tcf(c_130,negated_conjecture,
    member(sK7,universal_class),
    inference(cnf_transformation,[],[f192]) ).

tcf(c_179,plain,
    ( member(unordered_pair(sK8,sK8),unordered_pair(unordered_pair(sK6,sK6),unordered_pair(sK6,unordered_pair(sK7,sK7))))
    | ~ member(unordered_pair(sK8,sK8),universal_class) ),
    inference(superposition,[status(thm)],[c_129,c_56]) ).

tcf(c_181,plain,
    ( member(unordered_pair(sK8,unordered_pair(sK9,sK9)),unordered_pair(unordered_pair(sK6,sK6),unordered_pair(sK6,unordered_pair(sK7,sK7))))
    | ~ member(unordered_pair(sK8,unordered_pair(sK9,sK9)),universal_class) ),
    inference(superposition,[status(thm)],[c_129,c_57]) ).

tcf(c_182,plain,
    ! [X0: $i] :
      ( ( unordered_pair(sK8,sK8) = X0 )
      | ( unordered_pair(sK8,unordered_pair(sK9,sK9)) = X0 )
      | ~ member(X0,unordered_pair(unordered_pair(sK6,sK6),unordered_pair(sK6,unordered_pair(sK7,sK7)))) ),
    inference(superposition,[status(thm)],[c_129,c_59]) ).

tcf(c_194,plain,
    member(unordered_pair(sK8,sK8),unordered_pair(unordered_pair(sK6,sK6),unordered_pair(sK6,unordered_pair(sK7,sK7)))),
    inference(forward_subsumption_resolution,[status(thm)],[c_179,c_60]) ).

tcf(c_195,plain,
    ( ( unordered_pair(sK6,sK6) = unordered_pair(sK8,sK8) )
    | ( unordered_pair(sK6,unordered_pair(sK7,sK7)) = unordered_pair(sK8,sK8) ) ),
    inference(superposition,[status(thm)],[c_194,c_59]) ).

tcf(c_196,plain,
    member(unordered_pair(sK8,sK8),universal_class),
    inference(superposition,[status(thm)],[c_194,c_58]) ).

tcf(c_200,plain,
    member(unordered_pair(sK8,unordered_pair(sK9,sK9)),unordered_pair(unordered_pair(sK6,sK6),unordered_pair(sK6,unordered_pair(sK7,sK7)))),
    inference(forward_subsumption_resolution,[status(thm)],[c_181,c_60]) ).

tcf(c_201,plain,
    ( ( unordered_pair(sK8,unordered_pair(sK9,sK9)) = unordered_pair(sK6,sK6) )
    | ( unordered_pair(sK6,unordered_pair(sK7,sK7)) = unordered_pair(sK8,unordered_pair(sK9,sK9)) ) ),
    inference(superposition,[status(thm)],[c_200,c_59]) ).

tcf(c_211,plain,
    ( ( unordered_pair(sK6,unordered_pair(sK7,sK7)) = unordered_pair(sK8,sK8) )
    | ( unordered_pair(sK6,unordered_pair(sK7,sK7)) = unordered_pair(sK8,unordered_pair(sK9,sK9)) )
    | ~ member(unordered_pair(sK6,unordered_pair(sK7,sK7)),universal_class) ),
    inference(superposition,[status(thm)],[c_57,c_182]) ).

tcf(c_234,plain,
    ( member(unordered_pair(sK8,sK8),unordered_pair(unordered_pair(sK6,sK6),unordered_pair(sK6,unordered_pair(sK7,sK7))))
    | ~ member(unordered_pair(sK8,sK8),universal_class) ),
    inference(superposition,[status(thm)],[c_129,c_56]) ).

tcf(c_243,plain,
    ( member(sK6,unordered_pair(sK8,sK8))
    | ( unordered_pair(sK6,sK6) = unordered_pair(sK8,sK8) )
    | ~ member(sK6,universal_class) ),
    inference(superposition,[status(thm)],[c_195,c_56]) ).

tcf(c_268,plain,
    ( member(unordered_pair(sK9,sK9),unordered_pair(sK6,unordered_pair(sK7,sK7)))
    | ( unordered_pair(sK8,unordered_pair(sK9,sK9)) = unordered_pair(sK6,sK6) )
    | ~ member(unordered_pair(sK9,sK9),universal_class) ),
    inference(superposition,[status(thm)],[c_201,c_57]) ).

tcf(c_275,plain,
    member(unordered_pair(sK8,sK8),unordered_pair(unordered_pair(sK6,sK6),unordered_pair(sK6,unordered_pair(sK7,sK7)))),
    inference(global_subsumption_just,[status(thm)],[c_234,c_179,c_196]) ).

tcf(c_277,plain,
    ( ( unordered_pair(sK6,sK6) = unordered_pair(sK8,sK8) )
    | ( unordered_pair(sK6,unordered_pair(sK7,sK7)) = unordered_pair(sK8,sK8) ) ),
    inference(superposition,[status(thm)],[c_275,c_59]) ).

tcf(c_317,plain,
    ( ( unordered_pair(sK6,unordered_pair(sK7,sK7)) = unordered_pair(sK8,sK8) )
    | ( unordered_pair(sK6,unordered_pair(sK7,sK7)) = unordered_pair(sK8,unordered_pair(sK9,sK9)) ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_211,c_60]) ).

tcf(c_326,plain,
    ! [X0: $i] :
      ( ( X0 = sK8 )
      | ( unordered_pair(sK9,sK9) = X0 )
      | ( unordered_pair(sK6,unordered_pair(sK7,sK7)) = unordered_pair(sK8,sK8) )
      | ~ member(X0,unordered_pair(sK6,unordered_pair(sK7,sK7))) ),
    inference(superposition,[status(thm)],[c_317,c_59]) ).

tcf(c_337,plain,
    ( member(sK6,unordered_pair(sK8,sK8))
    | ( unordered_pair(sK6,sK6) = unordered_pair(sK8,sK8) )
    | ~ member(sK6,universal_class) ),
    inference(superposition,[status(thm)],[c_277,c_56]) ).

tcf(c_366,plain,
    ( ( sK6 = sK8 )
    | ( unordered_pair(sK6,sK6) = unordered_pair(sK8,sK8) )
    | ~ member(sK6,universal_class) ),
    inference(superposition,[status(thm)],[c_243,c_59]) ).

tcf(c_471,plain,
    ( member(unordered_pair(sK9,sK9),unordered_pair(sK6,unordered_pair(sK7,sK7)))
    | ( unordered_pair(sK8,unordered_pair(sK9,sK9)) = unordered_pair(sK6,sK6) ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_268,c_60]) ).

tcf(c_477,plain,
    ( ( unordered_pair(sK9,sK9) = sK6 )
    | ( unordered_pair(sK7,sK7) = unordered_pair(sK9,sK9) )
    | ( unordered_pair(sK8,unordered_pair(sK9,sK9)) = unordered_pair(sK6,sK6) ) ),
    inference(superposition,[status(thm)],[c_471,c_59]) ).

tcf(c_659,plain,
    ( ( unordered_pair(sK7,sK7) = sK8 )
    | ( unordered_pair(sK7,sK7) = unordered_pair(sK9,sK9) )
    | ( unordered_pair(sK6,unordered_pair(sK7,sK7)) = unordered_pair(sK8,sK8) )
    | ~ member(unordered_pair(sK7,sK7),universal_class) ),
    inference(superposition,[status(thm)],[c_57,c_326]) ).

tcf(c_754,plain,
    ( member(unordered_pair(sK9,sK9),unordered_pair(sK6,sK6))
    | ( unordered_pair(sK9,sK9) = sK6 )
    | ( unordered_pair(sK7,sK7) = unordered_pair(sK9,sK9) )
    | ~ member(unordered_pair(sK9,sK9),universal_class) ),
    inference(superposition,[status(thm)],[c_477,c_57]) ).

tcf(c_869,plain,
    ( ( sK6 = sK8 )
    | ( unordered_pair(sK6,sK6) = unordered_pair(sK8,sK8) )
    | ~ member(sK6,universal_class) ),
    inference(superposition,[status(thm)],[c_337,c_59]) ).

tcf(c_1151,plain,
    ( ( unordered_pair(sK7,sK7) = sK8 )
    | ( unordered_pair(sK7,sK7) = unordered_pair(sK9,sK9) )
    | ( unordered_pair(sK6,unordered_pair(sK7,sK7)) = unordered_pair(sK8,sK8) ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_659,c_60]) ).

tcf(c_1160,plain,
    ( member(unordered_pair(sK7,sK7),unordered_pair(sK8,sK8))
    | ( unordered_pair(sK7,sK7) = sK8 )
    | ( unordered_pair(sK7,sK7) = unordered_pair(sK9,sK9) )
    | ~ member(unordered_pair(sK7,sK7),universal_class) ),
    inference(superposition,[status(thm)],[c_1151,c_57]) ).

tcf(c_1359,plain,
    ( member(unordered_pair(sK9,sK9),unordered_pair(sK6,sK6))
    | ( unordered_pair(sK9,sK9) = sK6 )
    | ( unordered_pair(sK7,sK7) = unordered_pair(sK9,sK9) ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_754,c_60]) ).

tcf(c_1366,plain,
    ( ( unordered_pair(sK9,sK9) = sK6 )
    | ( unordered_pair(sK7,sK7) = unordered_pair(sK9,sK9) ) ),
    inference(superposition,[status(thm)],[c_1359,c_59]) ).

tcf(c_1667,plain,
    ( member(unordered_pair(sK7,sK7),unordered_pair(sK8,sK8))
    | ( unordered_pair(sK7,sK7) = sK8 )
    | ( unordered_pair(sK7,sK7) = unordered_pair(sK9,sK9) ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1160,c_60]) ).

tcf(c_1676,plain,
    ( ( unordered_pair(sK7,sK7) = sK8 )
    | ( unordered_pair(sK7,sK7) = unordered_pair(sK9,sK9) ) ),
    inference(superposition,[status(thm)],[c_1667,c_59]) ).

tcf(c_1738,plain,
    ! [X0: $i] :
      ( ( X0 = sK9 )
      | ( unordered_pair(sK9,sK9) = sK6 )
      | ~ member(X0,unordered_pair(sK7,sK7)) ),
    inference(superposition,[status(thm)],[c_1366,c_59]) ).

tcf(c_1750,plain,
    ( member(unordered_pair(sK8,unordered_pair(sK7,sK7)),unordered_pair(unordered_pair(sK6,sK6),unordered_pair(sK6,unordered_pair(sK7,sK7))))
    | ( unordered_pair(sK9,sK9) = sK6 ) ),
    inference(superposition,[status(thm)],[c_1366,c_200]) ).

tcf(c_1816,plain,
    ! [X0: $i] :
      ( ( X0 = sK9 )
      | ( unordered_pair(sK7,sK7) = sK8 )
      | ~ member(X0,unordered_pair(sK7,sK7)) ),
    inference(superposition,[status(thm)],[c_1676,c_59]) ).

tcf(c_1828,plain,
    ( member(unordered_pair(sK8,unordered_pair(sK7,sK7)),unordered_pair(unordered_pair(sK6,sK6),unordered_pair(sK6,unordered_pair(sK7,sK7))))
    | ( unordered_pair(sK7,sK7) = sK8 ) ),
    inference(superposition,[status(thm)],[c_1676,c_200]) ).

tcf(c_1934,plain,
    ( ( sK7 = sK9 )
    | ( unordered_pair(sK9,sK9) = sK6 )
    | ~ member(sK7,universal_class) ),
    inference(superposition,[status(thm)],[c_56,c_1738]) ).

tcf(c_1937,plain,
    unordered_pair(sK9,sK9) = sK6,
    inference(global_subsumption_just,[status(thm)],[c_1750,c_130,c_128,c_1934]) ).

tcf(c_1942,plain,
    member(sK6,universal_class),
    inference(superposition,[status(thm)],[c_1937,c_60]) ).

tcf(c_1944,plain,
    ! [X0: $i] :
      ( ( X0 = sK9 )
      | ~ member(X0,sK6) ),
    inference(superposition,[status(thm)],[c_1937,c_59]) ).

tcf(c_1963,plain,
    ( ( sK6 = sK8 )
    | ( unordered_pair(sK6,sK6) = unordered_pair(sK8,sK8) ) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_366,c_1942]) ).

tcf(c_2059,plain,
    ( ( sK7 = sK9 )
    | ( unordered_pair(sK7,sK7) = sK8 )
    | ~ member(sK7,universal_class) ),
    inference(superposition,[status(thm)],[c_56,c_1816]) ).

tcf(c_2063,plain,
    unordered_pair(sK7,sK7) = sK8,
    inference(global_subsumption_just,[status(thm)],[c_1828,c_130,c_128,c_2059]) ).

tcf(c_2066,plain,
    member(sK8,universal_class),
    inference(superposition,[status(thm)],[c_2063,c_60]) ).

tcf(c_2067,plain,
    ( member(sK7,sK8)
    | ~ member(sK7,universal_class) ),
    inference(superposition,[status(thm)],[c_2063,c_57]) ).

tcf(c_2097,plain,
    ( ( sK6 = sK8 )
    | ( unordered_pair(sK6,sK6) = unordered_pair(sK8,sK8) ) ),
    inference(global_subsumption_just,[status(thm)],[c_869,c_366,c_1942]) ).

tcf(c_2105,plain,
    ( member(sK8,unordered_pair(sK6,sK6))
    | ( sK6 = sK8 )
    | ~ member(sK8,universal_class) ),
    inference(superposition,[status(thm)],[c_2097,c_57]) ).

tcf(c_2174,plain,
    ( member(sK8,unordered_pair(sK6,sK6))
    | ( sK6 = sK8 )
    | ~ member(sK8,universal_class) ),
    inference(superposition,[status(thm)],[c_1963,c_57]) ).

tcf(c_2586,plain,
    member(sK7,sK8),
    inference(global_subsumption_just,[status(thm)],[c_2067,c_130,c_2067]) ).

tcf(c_2882,plain,
    ( member(sK8,unordered_pair(sK6,sK6))
    | ( sK6 = sK8 ) ),
    inference(global_subsumption_just,[status(thm)],[c_2174,c_2066,c_2105]) ).

tcf(c_2888,plain,
    sK6 = sK8,
    inference(superposition,[status(thm)],[c_2882,c_59]) ).

tcf(c_2904,plain,
    member(sK7,sK6),
    inference(demodulation,[status(thm)],[c_2586,c_2888]) ).

tcf(c_3511,plain,
    sK7 = sK9,
    inference(superposition,[status(thm)],[c_2904,c_1944]) ).

tcf(c_3513,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_128,c_3511]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SET018+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36  % Computer : n014.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Thu Sep 24 09:11:33 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41  Running first-order theorem proving
% 0.10/0.41  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
% 0.10/0.42  
% 0.10/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42  
% 0.10/0.42  % Detected problem language: tptp
% 0.10/0.43  % Proving...
% 0.69/1.29  % SZS status Started for theBenchmark.p
% 0.69/1.29  % SZS status Theorem for theBenchmark.p
% 0.69/1.29  
% 0.69/1.29  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.69/1.29  
% 0.69/1.29  % ------  iProver source info
% 0.69/1.29  
% 0.69/1.29  % git: date: 2026-07-19 20:42:38 +0200
% 0.69/1.29  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.69/1.29  % git: non_committed_changes: false
% 0.69/1.29  
% 0.69/1.29  % ------ Parsing...
% 0.69/1.29  % ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.69/1.29  % ------ Proving...
% 0.69/1.29  % ------ Problem Properties 
% 0.69/1.29  
% 0.69/1.29  % 
% 0.69/1.29  % clauses                               82
% 0.69/1.29  % conjectures                           3
% 0.69/1.29  % EPR                                   14
% 0.69/1.29  % Horn                                  73
% 0.69/1.29  % unary                                 16
% 0.69/1.29  % binary                                44
% 0.69/1.29  % lits                                  170
% 0.69/1.29  % lits eq                               16
% 0.69/1.29  % fd_pure                               0
% 0.69/1.29  % fd_pseudo                             0
% 0.69/1.29  % fd_cond                               4
% 0.69/1.29  % fd_pseudo_cond                        3
% 0.69/1.29  % AC symbols                            0
% 0.69/1.29  
% 0.69/1.29  % ------ Input Options Time Limit: Unbounded
% 0.69/1.29  
% 0.69/1.29  
% 0.69/1.29  % ------ 
% 0.69/1.29  % Current options:
% 0.69/1.29  % ------ 
% 0.69/1.29  
% 0.69/1.29  
% 0.69/1.29  % 
% 0.69/1.29  
% 0.69/1.29  % ------ Proving...
% 0.69/1.29  % 
% 0.69/1.29  
% 0.69/1.29  % SZS status Theorem for theBenchmark.p
% 0.69/1.29  
% 0.69/1.29  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.69/1.29  
% 0.69/1.29  
%------------------------------------------------------------------------------