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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : SWB007+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 : n018.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 03:03:42 PM UTC 2026

% Result   : Theorem 15.83s 2.44s
% Output   : Proof 15.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   23 (  10 unt;   0 def)
%            Number of atoms       :   51 (   7 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   46 (  18   ~;  12   |;  15   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   9 con; 0-0 aty)
%            Number of variables   :    8 (   0 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f353,axiom,
    ! [X,Y] :
      ( iext(uri_owl_sameAs,X,Y)
    <=> X = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).

fof(f353_nnf,plain,
    ! [X,Y] :
      ( ( X != Y
        | iext(uri_owl_sameAs,X,Y) )
      & ( X = Y
        | ~ iext(uri_owl_sameAs,X,Y) ) ),
    inference(nnf_transformation,[status(thm)],[f353]) ).

fof(f353_sk,plain,
    ! [X,Y] :
      ( ( X != Y
        | iext(uri_owl_sameAs,X,Y) )
      & ( X = Y
        | ~ iext(uri_owl_sameAs,X,Y) ) ),
    inference(skolemisation,[status(esa)],[f353_nnf]) ).

cnf(c1047,plain,
    ( X0 = X1
    | ~ iext(uri_owl_sameAs,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f353_sk]) ).

fof(f559,axiom,
    ( iext(uri_rdfs_range,uri_ex_p,uri_ex_c1)
    & iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1)
    & iext(uri_rdf_type,uri_ex_w,uri_ex_c1)
    & iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_007_Equal_Classes) ).

fof(f559_nnf,plain,
    ( iext(uri_rdfs_range,uri_ex_p,uri_ex_c1)
    & iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1)
    & iext(uri_rdf_type,uri_ex_w,uri_ex_c1)
    & iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2) ),
    inference(nnf_transformation,[status(thm)],[f559]) ).

fof(f559_sk,plain,
    ( iext(uri_rdfs_range,uri_ex_p,uri_ex_c1)
    & iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1)
    & iext(uri_rdf_type,uri_ex_w,uri_ex_c1)
    & iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2) ),
    inference(skolemisation,[status(esa)],[f559_nnf]) ).

cnf(c1407,plain,
    iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2),
    inference(cnf_transformation,[status(esa)],[f559_sk]) ).

cnf(p917,plain,
    uri_ex_c1 = uri_ex_c2,
    inference(resolution,[status(thm)],[c1047,c1407]) ).

cnf(c1410,plain,
    iext(uri_rdfs_range,uri_ex_p,uri_ex_c1),
    inference(cnf_transformation,[status(esa)],[f559_sk]) ).

cnf(p921,plain,
    iext(uri_rdfs_range,uri_ex_p,uri_ex_c2),
    inference(demodulation,[status(thm)],[p917,c1410]) ).

cnf(c1409,plain,
    iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1),
    inference(cnf_transformation,[status(esa)],[f559_sk]) ).

cnf(p920,plain,
    iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2),
    inference(demodulation,[status(thm)],[p917,c1409]) ).

cnf(c1408,plain,
    iext(uri_rdf_type,uri_ex_w,uri_ex_c1),
    inference(cnf_transformation,[status(esa)],[f559_sk]) ).

cnf(p919,plain,
    iext(uri_rdf_type,uri_ex_w,uri_ex_c2),
    inference(demodulation,[status(thm)],[p917,c1408]) ).

fof(f558,conjecture,
    ( iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
    & iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
    & iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_007_Equal_Classes) ).

fof(f558_neg,negated_conjecture,
    ~ ( iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
      & iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
      & iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
    inference(negated_conjecture,[status(cth)],[f558]) ).

fof(f558_nnf,plain,
    ( ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
    | ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
    | ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
    inference(nnf_transformation,[status(thm)],[f558_neg]) ).

fof(f558_sk,plain,
    ( ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
    | ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
    | ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
    inference(skolemisation,[status(esa)],[f558_nnf]) ).

cnf(c1406,plain,
    ( ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
    | ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
    | ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
    inference(cnf_transformation,[status(esa)],[f558_sk]) ).

cnf(p935,plain,
    ( ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
    | ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2) ),
    inference(resolution,[status(thm)],[p919,c1406]) ).

cnf(p936,plain,
    ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2),
    inference(resolution,[status(thm)],[p920,p935]) ).

cnf(p937,plain,
    $false,
    inference(resolution,[status(thm)],[p921,p936]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWB007+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.36  % Computer : n018.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Thu Sep 24 15:24:20 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 15.83/2.44  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.83/2.44  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------