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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWB008+2 : TPTP v9.2.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n002.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 05:16:40 PM UTC 2026

% Result   : Theorem 0.26s 1.61s
% Output   : CNFRefutation 0.26s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 16)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_char_inversefunctional,axiom,
    ! [X4] :
      ( icext(uri_owl_InverseFunctionalProperty,X4)
    <=> ( ip(X4)
        & ! [X5,X6,X3] :
            ( ( iext(X4,X5,X3)
              & iext(X4,X6,X3) )
           => X5 = X6 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_inversefunctional) ).

fof(rdfs_cext_def,axiom,
    ! [X1,X2] :
      ( iext(uri_rdf_type,X1,X2)
    <=> icext(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(owl_eqdis_sameas,axiom,
    ! [X1,X3] :
      ( iext(uri_owl_sameAs,X1,X3)
    <=> X1 = X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas) ).

fof(testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties,conjecture,
    iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties) ).

fof(testcase_premise_fullish_008_Inverse_Functional_Data_Properties,axiom,
    ( iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_DatatypeProperty)
    & iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty)
    & iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz))
    & iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_008_Inverse_Functional_Data_Properties) ).

fof(i_0_5,plain,
    ! [X19,X20,X21,X22,X23] :
      ( ( ip(X19)
        | ~ icext(uri_owl_InverseFunctionalProperty,X19) )
      & ( ~ iext(X19,X20,X22)
        | ~ iext(X19,X21,X22)
        | X20 = X21
        | ~ icext(uri_owl_InverseFunctionalProperty,X19) )
      & ( iext(X23,esk1_1(X23),esk3_1(X23))
        | ~ ip(X23)
        | icext(uri_owl_InverseFunctionalProperty,X23) )
      & ( iext(X23,esk2_1(X23),esk3_1(X23))
        | ~ ip(X23)
        | icext(uri_owl_InverseFunctionalProperty,X23) )
      & ( esk1_1(X23) != esk2_1(X23)
        | ~ ip(X23)
        | icext(uri_owl_InverseFunctionalProperty,X23) ) ),
    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_char_inversefunctional])])])])])]) ).

fof(i_0_6,plain,
    ! [X15,X16] :
      ( ( ~ iext(uri_rdf_type,X15,X16)
        | icext(X16,X15) )
      & ( ~ icext(X16,X15)
        | iext(uri_rdf_type,X15,X16) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).

fof(i_0_7,plain,
    ! [X17,X18] :
      ( ( ~ iext(uri_owl_sameAs,X17,X18)
        | X17 = X18 )
      & ( X17 != X18
        | iext(uri_owl_sameAs,X17,X18) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_eqdis_sameas])]) ).

fof(i_0_8,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties])]) ).

cnf(i_0_9,plain,
    ( X2 = X4
    | ~ iext(X1,X2,X3)
    | ~ iext(X1,X4,X3)
    | ~ icext(uri_owl_InverseFunctionalProperty,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_5]),
    [final] ).

cnf(i_0_10,plain,
    ( icext(X2,X1)
    | ~ iext(uri_rdf_type,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_6]),
    [final] ).

cnf(i_0_11,plain,
    ( iext(X1,esk2_1(X1),esk3_1(X1))
    | icext(uri_owl_InverseFunctionalProperty,X1)
    | ~ ip(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_5]),
    [final] ).

cnf(i_0_12,plain,
    ( iext(X1,esk1_1(X1),esk3_1(X1))
    | icext(uri_owl_InverseFunctionalProperty,X1)
    | ~ ip(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_5]),
    [final] ).

cnf(i_0_13,plain,
    ( X1 = X2
    | ~ iext(uri_owl_sameAs,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_7]),
    [final] ).

cnf(i_0_14,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(split_conjunct,[status(thm)],[i_0_8]),
    [final] ).

cnf(i_0_15,plain,
    ( iext(uri_rdf_type,X2,X1)
    | ~ icext(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_6]),
    [final] ).

cnf(i_0_16,plain,
    ( iext(uri_owl_sameAs,X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[i_0_7]),
    [final] ).

cnf(i_0_17,plain,
    iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)),
    inference(split_conjunct,[status(thm)],[testcase_premise_fullish_008_Inverse_Functional_Data_Properties]),
    [final] ).

cnf(i_0_18,plain,
    iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)),
    inference(split_conjunct,[status(thm)],[testcase_premise_fullish_008_Inverse_Functional_Data_Properties]),
    [final] ).

cnf(i_0_19,plain,
    iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_DatatypeProperty),
    inference(split_conjunct,[status(thm)],[testcase_premise_fullish_008_Inverse_Functional_Data_Properties]),
    [final] ).

cnf(i_0_20,plain,
    iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty),
    inference(split_conjunct,[status(thm)],[testcase_premise_fullish_008_Inverse_Functional_Data_Properties]),
    [final] ).

cnf(i_0_21,plain,
    ( icext(uri_owl_InverseFunctionalProperty,X1)
    | esk1_1(X1) != esk2_1(X1)
    | ~ ip(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_5]),
    [final] ).

cnf(i_0_22,plain,
    ( ip(X1)
    | ~ icext(uri_owl_InverseFunctionalProperty,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_5]),
    [final] ).

cnf(i_0_23,axiom,
    X1 = X1 ).

cnf(i_0_24,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_25,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_26,axiom,
    ( X1 != X2
    | esk2_1(X1) = esk2_1(X2) ) ).

cnf(i_0_27,axiom,
    ( X1 != X2
    | esk1_1(X1) = esk1_1(X2) ) ).

cnf(i_0_28,axiom,
    ( X1 != X2
    | ~ iext(X1,X3,X4)
    | iext(X2,X3,X4) ) ).

cnf(i_0_29,axiom,
    ( X1 != X2
    | ~ iext(X3,X1,X4)
    | iext(X3,X2,X4) ) ).

cnf(i_0_30,axiom,
    ( X1 != X2
    | ~ iext(X3,X4,X1)
    | iext(X3,X4,X2) ) ).

cnf(i_0_31,axiom,
    ( X1 != X2
    | ~ icext(X1,X3)
    | icext(X2,X3) ) ).

cnf(i_0_32,axiom,
    ( X1 != X2
    | ~ icext(X3,X1)
    | icext(X3,X2) ) ).

cnf(i_0_33,axiom,
    ( X1 != X2
    | ~ ip(X1)
    | ip(X2) ) ).

cnf(i_0_23_001,axiom,
    X1 = X1 ).

cnf(i_0_24_002,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_25_003,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_26_004,axiom,
    ( X1 != X2
    | esk2_1(X1) = esk2_1(X2) ) ).

cnf(i_0_27_005,axiom,
    ( X1 != X2
    | esk1_1(X1) = esk1_1(X2) ) ).

cnf(i_0_28_006,axiom,
    ( X1 != X2
    | ~ iext(X1,X3,X4)
    | iext(X2,X3,X4) ) ).

cnf(i_0_29_007,axiom,
    ( X1 != X2
    | ~ iext(X3,X1,X4)
    | iext(X3,X2,X4) ) ).

cnf(i_0_30_008,axiom,
    ( X1 != X2
    | ~ iext(X3,X4,X1)
    | iext(X3,X4,X2) ) ).

cnf(i_0_31_009,axiom,
    ( X1 != X2
    | ~ icext(X1,X3)
    | icext(X2,X3) ) ).

cnf(i_0_32_010,axiom,
    ( X1 != X2
    | ~ icext(X3,X1)
    | icext(X3,X2) ) ).

cnf(i_0_33_011,axiom,
    ( X1 != X2
    | ~ ip(X1)
    | ip(X2) ) ).

cnf(i_0_34,plain,
    iext(uri_owl_sameAs,X1,X1),
    inference(equality_inference,[],[16]) ).

cnf(i_0_35,plain,
    uri_ex_bob != uri_ex_robert,
    inference(scs_inference,[],[i_0_14,i_0_16]) ).

cnf(i_0_36,plain,
    ( iext(uri_owl_sameAs,X1,X2)
    | X1 != X2 ),
    inference(rename_variables,[],[i_0_16]) ).

cnf(i_0_37,plain,
    icext(uri_owl_DatatypeProperty,uri_foaf_mbox_sha1sum),
    inference(scs_inference,[],[i_0_14,i_0_19,i_0_16,i_0_10]) ).

cnf(i_0_38,plain,
    ( ~ iext(uri_rdf_type,X1,X2)
    | icext(X2,X1) ),
    inference(rename_variables,[],[i_0_10]) ).

cnf(i_0_39,plain,
    uri_ex_robert != uri_ex_bob,
    inference(scs_inference,[],[i_0_14,i_0_34,i_0_19,i_0_16,i_0_10,i_0_29]) ).

cnf(i_0_40,plain,
    iext(uri_owl_sameAs,X1,X1),
    inference(rename_variables,[],[i_0_34]) ).

cnf(i_0_41,plain,
    ( X1 != uri_owl_sameAs
    | ~ iext(X1,uri_ex_bob,uri_ex_robert) ),
    inference(scs_inference,[],[i_0_14,i_0_34,i_0_19,i_0_16,i_0_10,i_0_29,i_0_28]) ).

cnf(i_0_42,plain,
    ( ~ icext(uri_ex_robert,uri_ex_bob)
    | uri_rdf_type != uri_owl_sameAs ),
    inference(scs_inference,[],[i_0_14,i_0_34,i_0_19,i_0_16,i_0_10,i_0_29,i_0_28,i_0_15]) ).

cnf(i_0_43,plain,
    ( iext(uri_rdf_type,X1,X2)
    | ~ icext(X2,X1) ),
    inference(rename_variables,[],[i_0_15]) ).

cnf(i_0_44,plain,
    ( uri_rdf_type != uri_owl_sameAs
    | X1 != uri_ex_bob
    | ~ icext(uri_ex_robert,X1) ),
    inference(scs_inference,[],[i_0_14,i_0_34,i_0_19,i_0_16,i_0_10,i_0_29,i_0_28,i_0_15,i_0_32]) ).

cnf(i_0_45,plain,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(equality_inference,[],[41]) ).

cnf(i_0_46,plain,
    icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum),
    inference(scs_inference,[],[i_0_20,i_0_10]) ).

cnf(i_0_47,plain,
    ( ~ iext(uri_rdf_type,X1,X2)
    | icext(X2,X1) ),
    inference(rename_variables,[],[i_0_10]) ).

cnf(i_0_48,plain,
    $false,
    inference(scs_inference,[],[i_0_35,i_0_20,i_0_17,i_0_18,i_0_10,i_0_9]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWB008+2 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33  % Computer : n002.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit   : 300
% 0.15/0.33  % WCLimit    : 300
% 0.15/0.33  % DateTime   : Tue May  5 04:06:46 EDT 2026
% 0.15/0.33  % CPUTime    : 
% 0.15/0.34  % start to proof: theBenchmark
% 0.26/1.61  % Version  : CSE_E---1.7
% 0.26/1.61  % Problem  : theBenchmark.p
% 0.26/1.61  % SZS status Theorem for theBenchmark.p
% 0.26/1.61  % SZS output start CNFRefutation
% See solution above
% 0.26/1.66  % Total time : 1.272s
%------------------------------------------------------------------------------