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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWB068+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n026.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 03:04:36 PM UTC 2026

% Result   : Theorem 2.05s 1.74s
% Output   : CNFRefutation 2.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   68 (  23 unt;   0 def)
%            Number of atoms       :  301 (  76 equ)
%            Maximal formula atoms :   11 (   4 avg)
%            Number of connectives :  371 ( 138   ~; 186   |;  44   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;  13 con; 0-1 aty)
%            Number of variables   :  122 (   0 sgn 108   !;  14   ?;  51   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f25,axiom,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',rdfs_cext_def) ).

fof(f345,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_differentFrom,X0,X1)
    <=> X0 != X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_eqdis_differentfrom) ).

fof(f366,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( X3 != X5
        & X1 != X5
        & X1 != X3
        & iext(uri_rdf_rest,X4,uri_rdf_nil)
        & iext(uri_rdf_first,X4,X5)
        & iext(uri_rdf_rest,X2,X4)
        & iext(uri_rdf_first,X2,X3)
        & iext(uri_rdf_rest,X0,X2)
        & iext(uri_rdf_first,X0,X1) )
     => ? [X6] :
          ( iext(uri_owl_members,X6,X0)
          & icext(uri_owl_AllDifferent,X6) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_ndis_alldifferent_members_fi_003) ).

fof(f559,conjecture,
    ? [X0,X1,X2,X3] :
      ( iext(uri_rdf_rest,X0,uri_rdf_nil)
      & iext(uri_rdf_first,X0,uri_ex_w3)
      & iext(uri_owl_members,X3,X1)
      & iext(uri_rdf_type,X3,uri_owl_AllDifferent)
      & iext(uri_rdf_rest,X2,X0)
      & iext(uri_rdf_first,X2,uri_ex_w2)
      & iext(uri_rdf_rest,X1,X2)
      & iext(uri_rdf_first,X1,uri_ex_w1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_ndis_alldifferent_bw) ).

fof(f560,negated_conjecture,
    ~ ? [X0,X1,X2,X3] :
        ( iext(uri_rdf_rest,X0,uri_rdf_nil)
        & iext(uri_rdf_first,X0,uri_ex_w3)
        & iext(uri_owl_members,X3,X1)
        & iext(uri_rdf_type,X3,uri_owl_AllDifferent)
        & iext(uri_rdf_rest,X2,X0)
        & iext(uri_rdf_first,X2,uri_ex_w2)
        & iext(uri_rdf_rest,X1,X2)
        & iext(uri_rdf_first,X1,uri_ex_w1) ),
    inference(negated_conjecture,[status(cth)],[f559]) ).

fof(f561,axiom,
    ? [X0,X1,X2] :
      ( iext(uri_rdf_rest,X1,X2)
      & iext(uri_rdf_first,X1,uri_ex_w1)
      & iext(uri_rdf_rest,X2,X0)
      & iext(uri_rdf_first,X2,uri_ex_w2)
      & iext(uri_owl_differentFrom,uri_ex_w2,uri_ex_w3)
      & iext(uri_rdf_rest,X0,uri_rdf_nil)
      & iext(uri_rdf_first,X0,uri_ex_w3)
      & iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w3)
      & iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_ndis_alldifferent_bw) ).

fof(f562,plain,
    ! [X0,X1,X2,X3] :
      ( ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X0,uri_ex_w3)
      | ~ iext(uri_owl_members,X3,X1)
      | ~ iext(uri_rdf_type,X3,uri_owl_AllDifferent)
      | ~ iext(uri_rdf_rest,X2,X0)
      | ~ iext(uri_rdf_first,X2,uri_ex_w2)
      | ~ iext(uri_rdf_rest,X1,X2)
      | ~ iext(uri_rdf_first,X1,uri_ex_w1) ),
    inference(ennf_transformation,[],[f560]) ).

fof(f567,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( X3 = X5
      | X1 = X5
      | X1 = X3
      | ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X4,X5)
      | ~ iext(uri_rdf_rest,X2,X4)
      | ~ iext(uri_rdf_first,X2,X3)
      | ~ iext(uri_rdf_rest,X0,X2)
      | ~ iext(uri_rdf_first,X0,X1)
      | ? [X6] :
          ( iext(uri_owl_members,X6,X0)
          & icext(uri_owl_AllDifferent,X6) ) ),
    inference(ennf_transformation,[],[f366]) ).

fof(f568,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( X3 = X5
      | X1 = X5
      | X1 = X3
      | ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X4,X5)
      | ~ iext(uri_rdf_rest,X2,X4)
      | ~ iext(uri_rdf_first,X2,X3)
      | ~ iext(uri_rdf_rest,X0,X2)
      | ~ iext(uri_rdf_first,X0,X1)
      | ? [X6] :
          ( iext(uri_owl_members,X6,X0)
          & icext(uri_owl_AllDifferent,X6) ) ),
    inference(flattening,[],[f567]) ).

fof(f593,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdf_type,X0,X1)
        | icext(X1,X0) )
      & ( ~ icext(X1,X0)
        | iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f25]) ).

fof(f595,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( X3 = X5
      | X1 = X5
      | X1 = X3
      | ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X4,X5)
      | ~ iext(uri_rdf_rest,X2,X4)
      | ~ iext(uri_rdf_first,X2,X3)
      | ~ iext(uri_rdf_rest,X0,X2)
      | ~ iext(uri_rdf_first,X0,X1)
      | ( iext(uri_owl_members,sK0(X0),X0)
        & icext(uri_owl_AllDifferent,sK0(X0)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X6,sK0(X0))],[f568]) ).

fof(f599,plain,
    ( iext(uri_rdf_rest,sK5,sK6)
    & iext(uri_rdf_first,sK5,uri_ex_w1)
    & iext(uri_rdf_rest,sK6,sK4)
    & iext(uri_rdf_first,sK6,uri_ex_w2)
    & iext(uri_owl_differentFrom,uri_ex_w2,uri_ex_w3)
    & iext(uri_rdf_rest,sK4,uri_rdf_nil)
    & iext(uri_rdf_first,sK4,uri_ex_w3)
    & iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w3)
    & iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w2) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X0,sK4),skolemize(X1,sK5),skolemize(X2,sK6)],[f561]) ).

fof(f608,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_owl_differentFrom,X0,X1)
        | X0 != X1 )
      & ( X0 = X1
        | iext(uri_owl_differentFrom,X0,X1) ) ),
    inference(nnf_transformation,[],[f345]) ).

fof(f613,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X0,uri_ex_w3)
      | ~ iext(uri_owl_members,X3,X1)
      | ~ iext(uri_rdf_type,X3,uri_owl_AllDifferent)
      | ~ iext(uri_rdf_rest,X2,X0)
      | ~ iext(uri_rdf_first,X2,uri_ex_w2)
      | ~ iext(uri_rdf_rest,X1,X2)
      | ~ iext(uri_rdf_first,X1,uri_ex_w1) ),
    inference(cnf_transformation,[],[f562]) ).

fof(f620,plain,
    ! [X0,X1] :
      ( ~ icext(X1,X0)
      | iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f593]) ).

fof(f631,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( X3 = X5
      | X1 = X5
      | X1 = X3
      | ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X4,X5)
      | ~ iext(uri_rdf_rest,X2,X4)
      | ~ iext(uri_rdf_first,X2,X3)
      | ~ iext(uri_rdf_rest,X0,X2)
      | ~ iext(uri_rdf_first,X0,X1)
      | iext(uri_owl_members,sK0(X0),X0) ),
    inference(cnf_transformation,[],[f595]) ).

fof(f632,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( X3 = X5
      | X1 = X5
      | X1 = X3
      | ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X4,X5)
      | ~ iext(uri_rdf_rest,X2,X4)
      | ~ iext(uri_rdf_first,X2,X3)
      | ~ iext(uri_rdf_rest,X0,X2)
      | ~ iext(uri_rdf_first,X0,X1)
      | icext(uri_owl_AllDifferent,sK0(X0)) ),
    inference(cnf_transformation,[],[f595]) ).

fof(f642,plain,
    iext(uri_rdf_rest,sK5,sK6),
    inference(cnf_transformation,[],[f599]) ).

fof(f643,plain,
    iext(uri_rdf_first,sK5,uri_ex_w1),
    inference(cnf_transformation,[],[f599]) ).

fof(f644,plain,
    iext(uri_rdf_rest,sK6,sK4),
    inference(cnf_transformation,[],[f599]) ).

fof(f645,plain,
    iext(uri_rdf_first,sK6,uri_ex_w2),
    inference(cnf_transformation,[],[f599]) ).

fof(f646,plain,
    iext(uri_owl_differentFrom,uri_ex_w2,uri_ex_w3),
    inference(cnf_transformation,[],[f599]) ).

fof(f647,plain,
    iext(uri_rdf_rest,sK4,uri_rdf_nil),
    inference(cnf_transformation,[],[f599]) ).

fof(f648,plain,
    iext(uri_rdf_first,sK4,uri_ex_w3),
    inference(cnf_transformation,[],[f599]) ).

fof(f649,plain,
    iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w3),
    inference(cnf_transformation,[],[f599]) ).

fof(f650,plain,
    iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w2),
    inference(cnf_transformation,[],[f599]) ).

fof(f679,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_differentFrom,X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f608]) ).

fof(f697,plain,
    ! [X1] : ~ iext(uri_owl_differentFrom,X1,X1),
    inference(equality_resolution,[],[f679]) ).

tcf(c_49,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ iext(uri_rdf_type,X3,uri_owl_AllDifferent)
      | ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X2,uri_ex_w3)
      | ~ iext(uri_rdf_first,X1,uri_ex_w2)
      | ~ iext(uri_rdf_first,X0,uri_ex_w1)
      | ~ iext(uri_owl_members,X3,X0)
      | ~ iext(uri_rdf_rest,X1,X2)
      | ~ iext(uri_rdf_rest,X0,X1) ),
    inference(cnf_transformation,[],[f613]) ).

tcf(c_55,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_rdf_type,X1,X0)
      | ~ icext(X0,X1) ),
    inference(cnf_transformation,[],[f620]) ).

tcf(c_67,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( icext(uri_owl_AllDifferent,sK0(X2))
      | ( X3 = X5 )
      | ( X1 = X5 )
      | ( X1 = X3 )
      | ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
      | ~ iext(uri_rdf_rest,X2,X0)
      | ~ iext(uri_rdf_rest,X0,X4)
      | ~ iext(uri_rdf_first,X4,X5)
      | ~ iext(uri_rdf_first,X2,X3)
      | ~ iext(uri_rdf_first,X0,X1) ),
    inference(cnf_transformation,[],[f632]) ).

tcf(c_68,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( iext(uri_owl_members,sK0(X2),X2)
      | ( X3 = X5 )
      | ( X1 = X5 )
      | ( X1 = X3 )
      | ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
      | ~ iext(uri_rdf_rest,X2,X0)
      | ~ iext(uri_rdf_rest,X0,X4)
      | ~ iext(uri_rdf_first,X4,X5)
      | ~ iext(uri_rdf_first,X2,X3)
      | ~ iext(uri_rdf_first,X0,X1) ),
    inference(cnf_transformation,[],[f631]) ).

tcf(c_78,plain,
    iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w2),
    inference(cnf_transformation,[],[f650]) ).

tcf(c_79,plain,
    iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w3),
    inference(cnf_transformation,[],[f649]) ).

tcf(c_80,plain,
    iext(uri_rdf_first,sK4,uri_ex_w3),
    inference(cnf_transformation,[],[f648]) ).

tcf(c_81,plain,
    iext(uri_rdf_rest,sK4,uri_rdf_nil),
    inference(cnf_transformation,[],[f647]) ).

tcf(c_82,plain,
    iext(uri_owl_differentFrom,uri_ex_w2,uri_ex_w3),
    inference(cnf_transformation,[],[f646]) ).

tcf(c_83,plain,
    iext(uri_rdf_first,sK6,uri_ex_w2),
    inference(cnf_transformation,[],[f645]) ).

tcf(c_84,plain,
    iext(uri_rdf_rest,sK6,sK4),
    inference(cnf_transformation,[],[f644]) ).

tcf(c_85,plain,
    iext(uri_rdf_first,sK5,uri_ex_w1),
    inference(cnf_transformation,[],[f643]) ).

tcf(c_86,plain,
    iext(uri_rdf_rest,sK5,sK6),
    inference(cnf_transformation,[],[f642]) ).

tcf(c_116,plain,
    ! [X0: $i] : ~ iext(uri_owl_differentFrom,X0,X0),
    inference(cnf_transformation,[],[f697]) ).

tcf(c_6873,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ iext(uri_owl_members,X2,sK5)
      | ~ iext(uri_rdf_type,X2,uri_owl_AllDifferent)
      | ~ iext(uri_rdf_rest,sK5,X0)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,uri_ex_w3)
      | ~ iext(uri_rdf_first,X0,uri_ex_w2)
      | ~ iext(uri_rdf_rest,X0,X1) ),
    inference(superposition,[status(thm)],[c_85,c_49]) ).

tcf(c_6896,plain,
    ! [X0: $i] :
      ( ~ iext(uri_rdf_rest,sK5,sK4)
      | ~ iext(uri_rdf_rest,uri_rdf_nil,uri_rdf_nil)
      | ~ iext(uri_rdf_first,sK4,uri_ex_w2)
      | ~ iext(uri_rdf_first,uri_rdf_nil,uri_ex_w3)
      | ~ iext(uri_owl_members,X0,sK5)
      | ~ iext(uri_rdf_type,X0,uri_owl_AllDifferent) ),
    inference(superposition,[status(thm)],[c_81,c_6873]) ).

tcf(c_6897,plain,
    ! [X0: $i] :
      ( ~ iext(uri_rdf_rest,sK5,sK6)
      | ~ iext(uri_rdf_rest,sK4,uri_rdf_nil)
      | ~ iext(uri_rdf_first,sK6,uri_ex_w2)
      | ~ iext(uri_rdf_first,sK4,uri_ex_w3)
      | ~ iext(uri_owl_members,X0,sK5)
      | ~ iext(uri_rdf_type,X0,uri_owl_AllDifferent) ),
    inference(superposition,[status(thm)],[c_84,c_6873]) ).

tcf(c_6898,plain,
    ! [X0: $i] :
      ( ~ iext(uri_rdf_rest,sK5,sK6)
      | ~ iext(uri_owl_members,X0,sK5)
      | ~ iext(uri_rdf_type,X0,uri_owl_AllDifferent) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6897,c_81,c_83,c_80]) ).

tcf(c_6910,plain,
    ! [X0: $i] :
      ( ~ iext(uri_owl_members,X0,sK5)
      | ~ iext(uri_rdf_type,X0,uri_owl_AllDifferent) ),
    inference(global_subsumption_just,[status(thm)],[c_6896,c_86,c_6898]) ).

tcf(c_6974,plain,
    ! [X0: $i] :
      ( ~ icext(uri_owl_AllDifferent,X0)
      | ~ iext(uri_owl_members,X0,sK5) ),
    inference(superposition,[status(thm)],[c_55,c_6910]) ).

tcf(c_8117,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( icext(uri_owl_AllDifferent,sK0(X0))
      | ( X3 = uri_ex_w2 )
      | ( X1 = uri_ex_w2 )
      | ( X1 = X3 )
      | ~ iext(uri_rdf_rest,sK6,X2)
      | ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
      | ~ iext(uri_rdf_rest,X0,sK6)
      | ~ iext(uri_rdf_first,X2,X3)
      | ~ iext(uri_rdf_first,X0,X1) ),
    inference(superposition,[status(thm)],[c_83,c_67]) ).

tcf(c_8198,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( iext(uri_owl_members,sK0(X0),X0)
      | ( X3 = uri_ex_w2 )
      | ( X1 = uri_ex_w2 )
      | ( X1 = X3 )
      | ~ iext(uri_rdf_rest,sK6,X2)
      | ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
      | ~ iext(uri_rdf_rest,X0,sK6)
      | ~ iext(uri_rdf_first,X2,X3)
      | ~ iext(uri_rdf_first,X0,X1) ),
    inference(superposition,[status(thm)],[c_83,c_68]) ).

tcf(c_11245,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( icext(uri_owl_AllDifferent,sK0(X0))
      | ( X2 = uri_ex_w2 )
      | ( X1 = uri_ex_w2 )
      | ( X1 = X2 )
      | ~ iext(uri_rdf_rest,sK6,sK4)
      | ~ iext(uri_rdf_rest,X0,sK6)
      | ~ iext(uri_rdf_first,sK4,X2)
      | ~ iext(uri_rdf_first,X0,X1) ),
    inference(superposition,[status(thm)],[c_81,c_8117]) ).

tcf(c_11246,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( icext(uri_owl_AllDifferent,sK0(X0))
      | ( X2 = uri_ex_w2 )
      | ( X1 = uri_ex_w2 )
      | ( X1 = X2 )
      | ~ iext(uri_rdf_rest,X0,sK6)
      | ~ iext(uri_rdf_first,sK4,X2)
      | ~ iext(uri_rdf_first,X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11245,c_84]) ).

tcf(c_11270,plain,
    ! [X0: $i] :
      ( icext(uri_owl_AllDifferent,sK0(sK5))
      | ( uri_ex_w1 = uri_ex_w2 )
      | ( X0 = uri_ex_w2 )
      | ( X0 = uri_ex_w1 )
      | ~ iext(uri_rdf_rest,sK5,sK6)
      | ~ iext(uri_rdf_first,sK4,X0) ),
    inference(superposition,[status(thm)],[c_85,c_11246]) ).

tcf(c_11273,plain,
    ! [X0: $i] :
      ( icext(uri_owl_AllDifferent,sK0(sK5))
      | ( uri_ex_w1 = uri_ex_w2 )
      | ( X0 = uri_ex_w2 )
      | ( X0 = uri_ex_w1 )
      | ~ iext(uri_rdf_first,sK4,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11270,c_86]) ).

tcf(c_11330,plain,
    ( icext(uri_owl_AllDifferent,sK0(sK5))
    | ( uri_ex_w2 = uri_ex_w3 )
    | ( uri_ex_w1 = uri_ex_w3 )
    | ( uri_ex_w1 = uri_ex_w2 ) ),
    inference(superposition,[status(thm)],[c_80,c_11273]) ).

tcf(c_11556,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( iext(uri_owl_members,sK0(X0),X0)
      | ( X2 = uri_ex_w2 )
      | ( X1 = uri_ex_w2 )
      | ( X1 = X2 )
      | ~ iext(uri_rdf_rest,sK6,sK4)
      | ~ iext(uri_rdf_rest,X0,sK6)
      | ~ iext(uri_rdf_first,sK4,X2)
      | ~ iext(uri_rdf_first,X0,X1) ),
    inference(superposition,[status(thm)],[c_81,c_8198]) ).

tcf(c_11557,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( iext(uri_owl_members,sK0(X0),X0)
      | ( X2 = uri_ex_w2 )
      | ( X1 = uri_ex_w2 )
      | ( X1 = X2 )
      | ~ iext(uri_rdf_rest,X0,sK6)
      | ~ iext(uri_rdf_first,sK4,X2)
      | ~ iext(uri_rdf_first,X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11556,c_84]) ).

tcf(c_11581,plain,
    ! [X0: $i] :
      ( iext(uri_owl_members,sK0(sK5),sK5)
      | ( uri_ex_w1 = uri_ex_w2 )
      | ( X0 = uri_ex_w2 )
      | ( X0 = uri_ex_w1 )
      | ~ iext(uri_rdf_rest,sK5,sK6)
      | ~ iext(uri_rdf_first,sK4,X0) ),
    inference(superposition,[status(thm)],[c_85,c_11557]) ).

tcf(c_11584,plain,
    ! [X0: $i] :
      ( iext(uri_owl_members,sK0(sK5),sK5)
      | ( uri_ex_w1 = uri_ex_w2 )
      | ( X0 = uri_ex_w2 )
      | ( X0 = uri_ex_w1 )
      | ~ iext(uri_rdf_first,sK4,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11581,c_86]) ).

tcf(c_11649,plain,
    ( iext(uri_owl_members,sK0(sK5),sK5)
    | ( uri_ex_w2 = uri_ex_w3 )
    | ( uri_ex_w1 = uri_ex_w3 )
    | ( uri_ex_w1 = uri_ex_w2 ) ),
    inference(superposition,[status(thm)],[c_80,c_11584]) ).

tcf(c_11668,plain,
    ( ( uri_ex_w2 = uri_ex_w3 )
    | ( uri_ex_w1 = uri_ex_w3 )
    | ( uri_ex_w1 = uri_ex_w2 )
    | ~ icext(uri_owl_AllDifferent,sK0(sK5)) ),
    inference(superposition,[status(thm)],[c_11649,c_6974]) ).

tcf(c_11685,plain,
    ( ( uri_ex_w2 = uri_ex_w3 )
    | ( uri_ex_w1 = uri_ex_w3 )
    | ( uri_ex_w1 = uri_ex_w2 ) ),
    inference(global_subsumption_just,[status(thm)],[c_11668,c_11330,c_11668]) ).

tcf(c_11696,plain,
    ( iext(uri_owl_differentFrom,uri_ex_w2,uri_ex_w2)
    | ( uri_ex_w1 = uri_ex_w3 )
    | ( uri_ex_w1 = uri_ex_w2 ) ),
    inference(superposition,[status(thm)],[c_11685,c_82]) ).

tcf(c_11702,plain,
    ( ( uri_ex_w1 = uri_ex_w3 )
    | ( uri_ex_w1 = uri_ex_w2 ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11696,c_116]) ).

tcf(c_11714,plain,
    ( iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w1)
    | ( uri_ex_w1 = uri_ex_w2 ) ),
    inference(superposition,[status(thm)],[c_11702,c_79]) ).

tcf(c_11715,plain,
    uri_ex_w1 = uri_ex_w2,
    inference(forward_subsumption_resolution,[status(thm)],[c_11714,c_116]) ).

tcf(c_11762,plain,
    iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w1),
    inference(demodulation,[status(thm)],[c_78,c_11715]) ).

tcf(c_11772,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_11762,c_116]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB068+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37  % Computer : n026.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Thu Sep 24 15:46:56 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41  Running first-order theorem proving
% 0.10/0.41  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
% 0.10/0.42  
% 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...
% 2.05/1.74  % SZS status Started for theBenchmark.p
% 2.05/1.74  % SZS status Theorem for theBenchmark.p
% 2.05/1.74  
% 2.05/1.74  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.05/1.74  
% 2.05/1.74  % ------  iProver source info
% 2.05/1.74  
% 2.05/1.74  % git: date: 2026-07-19 20:42:38 +0200
% 2.05/1.74  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.05/1.74  % git: non_committed_changes: false
% 2.05/1.74  
% 2.05/1.74  % ------ Parsing...
% 2.05/1.74  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 2.05/1.74  
% 2.05/1.74  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 4 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e % 
% 2.05/1.74  
% 2.05/1.74  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 2.05/1.74  
% 2.05/1.74  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.05/1.74  % ------ Proving...
% 2.05/1.74  % ------ Problem Properties 
% 2.05/1.74  
% 2.05/1.74  % 
% 2.05/1.74  % clauses                               56
% 2.05/1.74  % conjectures                           1
% 2.05/1.74  % EPR                                   46
% 2.05/1.74  % Horn                                  49
% 2.05/1.74  % unary                                 27
% 2.05/1.74  % binary                                12
% 2.05/1.74  % lits                                  149
% 2.05/1.74  % lits eq                               9
% 2.05/1.74  % fd_pure                               0
% 2.05/1.74  % fd_pseudo                             0
% 2.05/1.74  % fd_cond                               0
% 2.05/1.74  % fd_pseudo_cond                        5
% 2.05/1.74  % AC symbols                            0
% 2.05/1.74  
% 2.05/1.74  % ------ Schedule dynamic 5 is on 
% 2.05/1.74  
% 2.05/1.74  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.05/1.74  
% 2.05/1.74  
% 2.05/1.74  % ------ 
% 2.05/1.74  % Current options:
% 2.05/1.74  % ------ 
% 2.05/1.74  
% 2.05/1.74  
% 2.05/1.74  % 
% 2.05/1.74  
% 2.05/1.74  % ------ Proving...
% 2.05/1.74  % 
% 2.05/1.74  
% 2.05/1.74  % SZS status Theorem for theBenchmark.p
% 2.05/1.74  
% 2.05/1.74  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.05/1.75  
% 2.05/1.75  
%------------------------------------------------------------------------------