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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : SWB074+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n006.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 03:03:58 PM UTC 2026

% Result   : Theorem 27.89s 9.03s
% Output   : Proof 27.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   30 (  14 unt;   0 def)
%            Number of atoms       :   64 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   57 (  23   ~;  19   |;  12   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   27 (   3 sgn  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f265,axiom,
    ! [X,Y] :
      ( iext(uri_owl_topDataProperty,X,Y)
    <=> ( lv(Y)
        & ir(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_topdataproperty_ext) ).

fof(f265_nnf,plain,
    ! [X,Y] :
      ( ( ~ lv(Y)
        | ~ ir(X)
        | iext(uri_owl_topDataProperty,X,Y) )
      & ( ( lv(Y)
          & ir(X) )
        | ~ iext(uri_owl_topDataProperty,X,Y) ) ),
    inference(nnf_transformation,[status(thm)],[f265]) ).

fof(f265_sk,plain,
    ! [X,Y] :
      ( ( ~ lv(Y)
        | ~ ir(X)
        | iext(uri_owl_topDataProperty,X,Y) )
      & ( ( lv(Y)
          & ir(X) )
        | ~ iext(uri_owl_topDataProperty,X,Y) ) ),
    inference(skolemisation,[status(esa)],[f265_nnf]) ).

cnf(c348,plain,
    ( ~ lv(X1)
    | ~ ir(X0)
    | iext(uri_owl_topDataProperty,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f265_sk]) ).

fof(f1,axiom,
    ! [X] : ir(X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_ir) ).

fof(f1_nnf,plain,
    ! [X] : ir(X),
    inference(nnf_transformation,[status(thm)],[f1]) ).

fof(f1_sk,plain,
    ! [X] : ir(X),
    inference(skolemisation,[status(esa)],[f1_nnf]) ).

cnf(c1,plain,
    ir(X0),
    inference(cnf_transformation,[status(esa)],[f1_sk]) ).

cnf(p900,plain,
    ( ~ lv(X1)
    | iext(uri_owl_topDataProperty,X0,X1) ),
    inference(resolution,[status(thm)],[c348,c1]) ).

fof(f55,axiom,
    ! [X] :
      ( lv(X)
    <=> icext(uri_rdfs_Literal,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_lv_def) ).

fof(f55_nnf,plain,
    ! [X] :
      ( ( ~ icext(uri_rdfs_Literal,X)
        | lv(X) )
      & ( icext(uri_rdfs_Literal,X)
        | ~ lv(X) ) ),
    inference(nnf_transformation,[status(thm)],[f55]) ).

fof(f55_sk,plain,
    ! [X] :
      ( ( ~ icext(uri_rdfs_Literal,X)
        | lv(X) )
      & ( icext(uri_rdfs_Literal,X)
        | ~ lv(X) ) ),
    inference(skolemisation,[status(esa)],[f55_nnf]) ).

cnf(c60,plain,
    ( ~ icext(uri_rdfs_Literal,X0)
    | lv(X0) ),
    inference(cnf_transformation,[status(esa)],[f55_sk]) ).

fof(f559,axiom,
    ( iext(uri_rdf_type,uri_ex_x,uri_owl_Thing)
    & iext(uri_rdf_type,uri_ex_y,uri_rdfs_Literal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_prop_topdataproperty_ext_lo) ).

fof(f559_nnf,plain,
    ( iext(uri_rdf_type,uri_ex_x,uri_owl_Thing)
    & iext(uri_rdf_type,uri_ex_y,uri_rdfs_Literal) ),
    inference(nnf_transformation,[status(thm)],[f559]) ).

fof(f559_sk,plain,
    ( iext(uri_rdf_type,uri_ex_x,uri_owl_Thing)
    & iext(uri_rdf_type,uri_ex_y,uri_rdfs_Literal) ),
    inference(skolemisation,[status(esa)],[f559_nnf]) ).

cnf(c1407,plain,
    iext(uri_rdf_type,uri_ex_y,uri_rdfs_Literal),
    inference(cnf_transformation,[status(esa)],[f559_sk]) ).

fof(f24,axiom,
    ! [X,C] :
      ( iext(uri_rdf_type,X,C)
    <=> icext(C,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f24_nnf,plain,
    ! [X,C] :
      ( ( ~ icext(C,X)
        | iext(uri_rdf_type,X,C) )
      & ( icext(C,X)
        | ~ iext(uri_rdf_type,X,C) ) ),
    inference(nnf_transformation,[status(thm)],[f24]) ).

fof(f24_sk,plain,
    ! [X,C] :
      ( ( ~ icext(C,X)
        | iext(uri_rdf_type,X,C) )
      & ( icext(C,X)
        | ~ iext(uri_rdf_type,X,C) ) ),
    inference(skolemisation,[status(esa)],[f24_nnf]) ).

cnf(c25,plain,
    ( icext(X1,X0)
    | ~ iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f24_sk]) ).

cnf(p688,plain,
    icext(uri_rdfs_Literal,uri_ex_y),
    inference(resolution,[status(thm)],[c1407,c25]) ).

cnf(p689,plain,
    lv(uri_ex_y),
    inference(resolution,[status(thm)],[c60,p688]) ).

cnf(p905,plain,
    iext(uri_owl_topDataProperty,X0,uri_ex_y),
    inference(resolution,[status(thm)],[p900,p689]) ).

fof(f558,conjecture,
    iext(uri_owl_topDataProperty,uri_ex_x,uri_ex_y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_prop_topdataproperty_ext_lo) ).

fof(f558_neg,negated_conjecture,
    ~ iext(uri_owl_topDataProperty,uri_ex_x,uri_ex_y),
    inference(negated_conjecture,[status(cth)],[f558]) ).

fof(f558_nnf,plain,
    ~ iext(uri_owl_topDataProperty,uri_ex_x,uri_ex_y),
    inference(nnf_transformation,[status(thm)],[f558_neg]) ).

fof(f558_sk,plain,
    ~ iext(uri_owl_topDataProperty,uri_ex_x,uri_ex_y),
    inference(skolemisation,[status(esa)],[f558_nnf]) ).

cnf(c1406,plain,
    ~ iext(uri_owl_topDataProperty,uri_ex_x,uri_ex_y),
    inference(cnf_transformation,[status(esa)],[f558_sk]) ).

cnf(p906,plain,
    $false,
    inference(resolution,[status(thm)],[p905,c1406]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB074+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/5.37  % Computer : n006.cluster.edu
% 0.10/5.37  % Model    : x86_64 x86_64
% 0.10/5.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37  % Memory   : 8046.5625MB
% 0.10/5.37  % OS       : Linux 6.8.0-71-generic
% 0.10/5.37  % CPULimit : 300
% 0.10/5.37  % WCLimit  : 300
% 0.10/5.37  % DateTime : Thu Sep 24 15:45:08 UTC 2026
% 0.10/5.37  % CPUTime  : 
% 0.10/5.37  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 27.89/9.03  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.89/9.03  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------