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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWB004+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 : n029.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 05:16:33 PM UTC 2026

% Result   : Theorem 1.26s 1.72s
% Output   : CNFRefutation 1.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   63 (  17 unt;   0 def)
%            Number of atoms       :  184 (   0 equ)
%            Maximal formula atoms :   20 (   2 avg)
%            Number of connectives :  201 (  80   ~;  85   |;  26   &)
%                                         (   8 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   59 (   2 sgn  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_parts_idc_cond_set,axiom,
    ! [X1] :
      ( idc(X1)
     => ic(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_idc_cond_set) ).

fof(owl_class_datatype_ext,axiom,
    ! [X1] :
      ( icext(uri_rdfs_Datatype,X1)
    <=> idc(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_datatype_ext) ).

fof(owl_rdfsext_subclassof,axiom,
    ! [X3,X4] :
      ( iext(uri_rdfs_subClassOf,X3,X4)
    <=> ( ic(X3)
        & ic(X4)
        & ! [X1] :
            ( icext(X3,X1)
           => icext(X4,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).

fof(testcase_conclusion_fullish_004_Axiomatic_Triples,conjecture,
    ( iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing)
    & iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
    & iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
    & iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    & iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_004_Axiomatic_Triples) ).

fof(owl_class_thing_ext,axiom,
    ! [X1] :
      ( icext(uri_owl_Thing,X1)
    <=> ir(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_thing_ext) ).

fof(simple_ir,axiom,
    ! [X1] : ir(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_ir) ).

fof(owl_class_classowl_ext,axiom,
    ! [X1] :
      ( icext(uri_owl_Class,X1)
    <=> ic(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_classowl_ext) ).

fof(owl_class_classowl_type,axiom,
    ic(uri_owl_Class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_classowl_type) ).

fof(owl_eqdis_equivalentclass,axiom,
    ! [X3,X4] :
      ( iext(uri_owl_equivalentClass,X3,X4)
    <=> ( ic(X3)
        & ic(X4)
        & ! [X1] :
            ( icext(X3,X1)
          <=> icext(X4,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).

fof(owl_class_classrdfs_ext,axiom,
    ! [X1] :
      ( icext(uri_rdfs_Class,X1)
    <=> ic(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_classrdfs_ext) ).

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_class_datatype_type,axiom,
    ic(uri_rdfs_Datatype),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_datatype_type) ).

fof(owl_class_classrdfs_type,axiom,
    ic(uri_rdfs_Class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_classrdfs_type) ).

fof(owl_class_thing_type,axiom,
    ic(uri_owl_Thing),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_thing_type) ).

fof(c_0_14,plain,
    ! [X22] :
      ( ~ idc(X22)
      | ic(X22) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_parts_idc_cond_set])]) ).

fof(c_0_15,plain,
    ! [X25] :
      ( ( ~ icext(uri_rdfs_Datatype,X25)
        | idc(X25) )
      & ( ~ idc(X25)
        | icext(uri_rdfs_Datatype,X25) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_class_datatype_ext])]) ).

fof(c_0_16,plain,
    ! [X27,X28,X29,X30,X31] :
      ( ( ic(X27)
        | ~ iext(uri_rdfs_subClassOf,X27,X28) )
      & ( ic(X28)
        | ~ iext(uri_rdfs_subClassOf,X27,X28) )
      & ( ~ icext(X27,X29)
        | icext(X28,X29)
        | ~ iext(uri_rdfs_subClassOf,X27,X28) )
      & ( icext(X30,esk1_2(X30,X31))
        | ~ ic(X30)
        | ~ ic(X31)
        | iext(uri_rdfs_subClassOf,X30,X31) )
      & ( ~ icext(X31,esk1_2(X30,X31))
        | ~ ic(X30)
        | ~ ic(X31)
        | iext(uri_rdfs_subClassOf,X30,X31) ) ),
    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_rdfsext_subclassof])])])])])]) ).

fof(c_0_17,negated_conjecture,
    ~ ( iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing)
      & iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
      & iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
      & iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
      & iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) ),
    inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_004_Axiomatic_Triples]) ).

fof(c_0_18,plain,
    ! [X26] :
      ( ( ~ icext(uri_owl_Thing,X26)
        | ir(X26) )
      & ( ~ ir(X26)
        | icext(uri_owl_Thing,X26) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_class_thing_ext])]) ).

fof(c_0_19,plain,
    ! [X19] : ir(X19),
    inference(variable_rename,[status(thm)],[simple_ir]) ).

fof(c_0_20,plain,
    ! [X23] :
      ( ( ~ icext(uri_owl_Class,X23)
        | ic(X23) )
      & ( ~ ic(X23)
        | icext(uri_owl_Class,X23) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_class_classowl_ext])]) ).

cnf(c_0_21,plain,
    ( ic(X1)
    | ~ idc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_22,plain,
    ( idc(X1)
    | ~ icext(uri_rdfs_Datatype,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_23,plain,
    ( icext(X1,esk1_2(X1,X2))
    | iext(uri_rdfs_subClassOf,X1,X2)
    | ~ ic(X1)
    | ~ ic(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_24,plain,
    ic(uri_owl_Class),
    inference(split_conjunct,[status(thm)],[owl_class_classowl_type]) ).

fof(c_0_25,plain,
    ! [X33,X34,X35,X36,X37,X38] :
      ( ( ic(X33)
        | ~ iext(uri_owl_equivalentClass,X33,X34) )
      & ( ic(X34)
        | ~ iext(uri_owl_equivalentClass,X33,X34) )
      & ( ~ icext(X33,X35)
        | icext(X34,X35)
        | ~ iext(uri_owl_equivalentClass,X33,X34) )
      & ( ~ icext(X34,X36)
        | icext(X33,X36)
        | ~ iext(uri_owl_equivalentClass,X33,X34) )
      & ( ~ icext(X37,esk2_2(X37,X38))
        | ~ icext(X38,esk2_2(X37,X38))
        | ~ ic(X37)
        | ~ ic(X38)
        | iext(uri_owl_equivalentClass,X37,X38) )
      & ( icext(X37,esk2_2(X37,X38))
        | icext(X38,esk2_2(X37,X38))
        | ~ ic(X37)
        | ~ ic(X38)
        | iext(uri_owl_equivalentClass,X37,X38) ) ),
    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_equivalentclass])])])])])]) ).

fof(c_0_26,plain,
    ! [X24] :
      ( ( ~ icext(uri_rdfs_Class,X24)
        | ic(X24) )
      & ( ~ ic(X24)
        | icext(uri_rdfs_Class,X24) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_class_classrdfs_ext])]) ).

fof(c_0_27,negated_conjecture,
    ( ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
    | ~ iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
    | ~ iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | ~ iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) ),
    inference(fof_nnf,[status(thm)],[c_0_17]) ).

fof(c_0_28,plain,
    ! [X20,X21] :
      ( ( ~ iext(uri_rdf_type,X20,X21)
        | icext(X21,X20) )
      & ( ~ icext(X21,X20)
        | iext(uri_rdf_type,X20,X21) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).

cnf(c_0_29,plain,
    ( icext(uri_owl_Thing,X1)
    | ~ ir(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_30,plain,
    ir(X1),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_31,plain,
    ( icext(uri_owl_Class,X1)
    | ~ ic(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_32,plain,
    ( ic(X1)
    | ~ icext(uri_rdfs_Datatype,X1) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_33,plain,
    ( icext(X1,esk1_2(X1,uri_owl_Class))
    | iext(uri_rdfs_subClassOf,X1,uri_owl_Class)
    | ~ ic(X1) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_34,plain,
    ic(uri_rdfs_Datatype),
    inference(split_conjunct,[status(thm)],[owl_class_datatype_type]) ).

cnf(c_0_35,plain,
    ( icext(X1,esk2_2(X1,X2))
    | icext(X2,esk2_2(X1,X2))
    | iext(uri_owl_equivalentClass,X1,X2)
    | ~ ic(X1)
    | ~ ic(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_36,plain,
    ic(uri_rdfs_Class),
    inference(split_conjunct,[status(thm)],[owl_class_classrdfs_type]) ).

cnf(c_0_37,plain,
    ( icext(uri_rdfs_Class,X1)
    | ~ ic(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_38,plain,
    ( ic(X1)
    | ~ icext(uri_owl_Class,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_39,negated_conjecture,
    ( ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
    | ~ iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
    | ~ iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | ~ iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_40,plain,
    ( iext(uri_rdf_type,X2,X1)
    | ~ icext(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_41,plain,
    icext(uri_owl_Thing,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]) ).

cnf(c_0_42,plain,
    ( icext(uri_owl_Class,X1)
    | ~ icext(uri_rdfs_Datatype,X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_43,plain,
    ( icext(uri_rdfs_Datatype,esk1_2(uri_rdfs_Datatype,uri_owl_Class))
    | iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_44,plain,
    ( icext(uri_rdfs_Class,esk2_2(X1,uri_rdfs_Class))
    | icext(X1,esk2_2(X1,uri_rdfs_Class))
    | iext(uri_owl_equivalentClass,X1,uri_rdfs_Class)
    | ~ ic(X1) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_45,plain,
    ( icext(uri_rdfs_Class,X1)
    | ~ icext(uri_owl_Class,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_46,negated_conjecture,
    ( ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
    | ~ iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
    | ~ iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)
    | ~ iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]) ).

cnf(c_0_47,plain,
    icext(uri_owl_Class,uri_owl_Class),
    inference(spm,[status(thm)],[c_0_31,c_0_24]) ).

cnf(c_0_48,plain,
    ( iext(uri_rdfs_subClassOf,X2,X1)
    | ~ icext(X1,esk1_2(X2,X1))
    | ~ ic(X2)
    | ~ ic(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_49,plain,
    ( icext(uri_owl_Class,esk1_2(uri_rdfs_Datatype,uri_owl_Class))
    | iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_50,plain,
    ( ic(X1)
    | ~ icext(uri_rdfs_Class,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_51,plain,
    ( iext(uri_owl_equivalentClass,X1,X2)
    | ~ icext(X1,esk2_2(X1,X2))
    | ~ icext(X2,esk2_2(X1,X2))
    | ~ ic(X1)
    | ~ ic(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_52,plain,
    ( icext(uri_rdfs_Class,esk2_2(uri_owl_Class,uri_rdfs_Class))
    | iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_24]),c_0_45]) ).

cnf(c_0_53,negated_conjecture,
    ( ~ iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
    | ~ iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)
    | ~ iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_40]),c_0_47])]) ).

cnf(c_0_54,plain,
    iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_34]),c_0_24])]) ).

cnf(c_0_55,plain,
    ( icext(uri_owl_Class,X1)
    | ~ icext(uri_rdfs_Class,X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_50]) ).

cnf(c_0_56,plain,
    ( iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | ~ icext(uri_owl_Class,esk2_2(uri_owl_Class,uri_rdfs_Class)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_36]),c_0_24])]) ).

cnf(c_0_57,negated_conjecture,
    ( ~ iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
    | ~ iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54])]) ).

cnf(c_0_58,plain,
    iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_52]),c_0_56]) ).

cnf(c_0_59,plain,
    ic(uri_owl_Thing),
    inference(split_conjunct,[status(thm)],[owl_class_thing_type]) ).

cnf(c_0_60,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58])]) ).

cnf(c_0_61,plain,
    ( iext(uri_rdfs_subClassOf,X1,uri_owl_Thing)
    | ~ ic(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_41]),c_0_59])]) ).

cnf(c_0_62,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_24])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWB004+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 : n029.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 04:05:30 EDT 2026
% 0.15/0.33  % CPUTime    : 
% 0.15/0.34  % start to proof: theBenchmark
% 1.26/1.72  % Version  : CSE_E---1.7
% 1.26/1.72  % Problem  : theBenchmark.p
% 1.26/1.72  % SZS status Theorem for theBenchmark.p
% 1.26/1.72  % SZS output start CNFRefutation
% See solution above
% 1.26/1.72  % Total time : 1.369s
%------------------------------------------------------------------------------