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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWB017+1 : TPTP v9.2.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  5 05:16:53 PM UTC 2026

% Result   : Theorem 1.91s 1.91s
% Output   : CNFRefutation 1.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (   9 unt;   0 def)
%            Number of atoms       :   45 (   5 equ)
%            Maximal formula atoms :   15 (   2 avg)
%            Number of connectives :   48 (  20   ~;  16   |;  10   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   22 (   0 sgn  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(testcase_conclusion_fullish_017_Built_in_Based_Definitions,conjecture,
    iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_017_Built_in_Based_Definitions) ).

fof(owl_eqdis_differentfrom,axiom,
    ! [X4,X7] :
      ( iext(uri_owl_differentFrom,X4,X7)
    <=> X4 != X7 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_eqdis_differentfrom) ).

fof(owl_eqdis_propertydisjointwith,axiom,
    ! [X33,X34] :
      ( iext(uri_owl_propertyDisjointWith,X33,X34)
    <=> ( ip(X33)
        & ip(X34)
        & ! [X4,X7] :
            ~ ( iext(X33,X4,X7)
              & iext(X34,X4,X7) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_eqdis_propertydisjointwith) ).

fof(testcase_premise_fullish_017_Built_in_Based_Definitions,axiom,
    ( iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type)
    & iext(uri_rdf_type,uri_ex_w,uri_ex_c)
    & iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_017_Built_in_Based_Definitions) ).

fof(c_0_4,negated_conjecture,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_017_Built_in_Based_Definitions])]) ).

fof(c_0_5,plain,
    ! [X1754,X1755] :
      ( ( ~ iext(uri_owl_differentFrom,X1754,X1755)
        | X1754 != X1755 )
      & ( X1754 = X1755
        | iext(uri_owl_differentFrom,X1754,X1755) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_eqdis_differentfrom])]) ).

fof(c_0_6,plain,
    ! [X1804,X1805,X1806,X1807,X1808,X1809] :
      ( ( ip(X1804)
        | ~ iext(uri_owl_propertyDisjointWith,X1804,X1805) )
      & ( ip(X1805)
        | ~ iext(uri_owl_propertyDisjointWith,X1804,X1805) )
      & ( ~ iext(X1804,X1806,X1807)
        | ~ iext(X1805,X1806,X1807)
        | ~ iext(uri_owl_propertyDisjointWith,X1804,X1805) )
      & ( iext(X1808,esk119_2(X1808,X1809),esk120_2(X1808,X1809))
        | ~ ip(X1808)
        | ~ ip(X1809)
        | iext(uri_owl_propertyDisjointWith,X1808,X1809) )
      & ( iext(X1809,esk119_2(X1808,X1809),esk120_2(X1808,X1809))
        | ~ ip(X1808)
        | ~ ip(X1809)
        | iext(uri_owl_propertyDisjointWith,X1808,X1809) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_eqdis_propertydisjointwith])])])])])]) ).

cnf(c_0_7,negated_conjecture,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,plain,
    ( X1 = X2
    | iext(uri_owl_differentFrom,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( ~ iext(X1,X2,X3)
    | ~ iext(X4,X2,X3)
    | ~ iext(uri_owl_propertyDisjointWith,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type),
    inference(split_conjunct,[status(thm)],[testcase_premise_fullish_017_Built_in_Based_Definitions]) ).

cnf(c_0_11,plain,
    iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c),
    inference(split_conjunct,[status(thm)],[testcase_premise_fullish_017_Built_in_Based_Definitions]) ).

cnf(c_0_12,negated_conjecture,
    uri_ex_u = uri_ex_w,
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_13,plain,
    ( ~ iext(uri_rdf_type,X1,X2)
    | ~ iext(uri_ex_notInstanceOf,X1,X2) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,plain,
    iext(uri_ex_notInstanceOf,uri_ex_w,uri_ex_c),
    inference(rw,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,plain,
    iext(uri_rdf_type,uri_ex_w,uri_ex_c),
    inference(split_conjunct,[status(thm)],[testcase_premise_fullish_017_Built_in_Based_Definitions]) ).

cnf(c_0_16,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SWB017+1 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.11  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32  % Computer : n019.cluster.edu
% 0.14/0.32  % Model    : x86_64 x86_64
% 0.14/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32  % Memory   : 8042.1875MB
% 0.14/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32  % CPULimit   : 300
% 0.14/0.32  % WCLimit    : 300
% 0.14/0.32  % DateTime   : Tue May  5 04:07:59 EDT 2026
% 0.14/0.32  % CPUTime    : 
% 0.14/0.33  % start to proof: theBenchmark
% 1.91/1.91  % Version  : CSE_E---1.7
% 1.91/1.91  % Problem  : theBenchmark.p
% 1.91/1.91  % SZS status Theorem for theBenchmark.p
% 1.91/1.91  % SZS output start CNFRefutation
% See solution above
% 1.91/1.91  % Total time : 1.478s
%------------------------------------------------------------------------------