TSTP Solution File: SWB004+2 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWB004+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n018.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 Aug 22 11:00:14 EDT 2023

% Result   : Theorem 7.19s 2.84s
% Output   : CNFRefutation 7.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  111 (  33 unt;  15 typ;   0 def)
%            Number of atoms       :  242 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  267 ( 121   ~; 128   |;   8   &)
%                                         (   8 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (   8   >;   6   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   67 (;  67   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ iext > icext > ir > idc > ic > #nlpp > uri_rdfs_subClassOf > uri_rdfs_Datatype > uri_rdfs_Class > uri_rdf_type > uri_owl_equivalentClass > uri_owl_Thing > uri_owl_Class > #skF_3 > #skF_2 > #skF_1

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(uri_rdfs_Datatype,type,
    uri_rdfs_Datatype: $i ).

tff(uri_owl_equivalentClass,type,
    uri_owl_equivalentClass: $i ).

tff(uri_rdf_type,type,
    uri_rdf_type: $i ).

tff(uri_owl_Thing,type,
    uri_owl_Thing: $i ).

tff(icext,type,
    icext: ( $i * $i ) > $o ).

tff('#skF_3',type,
    '#skF_3': ( $i * $i ) > $i ).

tff(ir,type,
    ir: $i > $o ).

tff(ic,type,
    ic: $i > $o ).

tff(uri_rdfs_subClassOf,type,
    uri_rdfs_subClassOf: $i ).

tff(uri_rdfs_Class,type,
    uri_rdfs_Class: $i ).

tff(uri_owl_Class,type,
    uri_owl_Class: $i ).

tff(iext,type,
    iext: ( $i * $i * $i ) > $o ).

tff(idc,type,
    idc: $i > $o ).

tff('#skF_2',type,
    '#skF_2': ( $i * $i ) > $i ).

tff('#skF_1',type,
    '#skF_1': ( $i * $i ) > $i ).

tff(f_35,axiom,
    ic(uri_owl_Class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_classowl_type) ).

tff(f_50,axiom,
    ic(uri_owl_Thing),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_thing_type) ).

tff(f_26,axiom,
    ! [X] : ir(X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_ir) ).

tff(f_54,axiom,
    ! [X] :
      ( icext(uri_owl_Thing,X)
    <=> ir(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_thing_ext) ).

tff(f_65,axiom,
    ! [C1,C2] :
      ( iext(uri_rdfs_subClassOf,C1,C2)
    <=> ( ic(C1)
        & ic(C2)
        & ! [X] :
            ( icext(C1,X)
           => icext(C2,X) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).

tff(f_39,axiom,
    ! [X] :
      ( icext(uri_owl_Class,X)
    <=> ic(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_classowl_ext) ).

tff(f_30,axiom,
    ! [X,C] :
      ( iext(uri_rdf_type,X,C)
    <=> icext(C,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).

tff(f_86,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) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_004_Axiomatic_Triples) ).

tff(f_45,axiom,
    ic(uri_rdfs_Datatype),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_datatype_type) ).

tff(f_49,axiom,
    ! [X] :
      ( icext(uri_rdfs_Datatype,X)
    <=> idc(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_datatype_ext) ).

tff(f_34,axiom,
    ! [X] :
      ( idc(X)
     => ic(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_idc_cond_set) ).

tff(f_40,axiom,
    ic(uri_rdfs_Class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_classrdfs_type) ).

tff(f_44,axiom,
    ! [X] :
      ( icext(uri_rdfs_Class,X)
    <=> ic(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_classrdfs_ext) ).

tff(f_76,axiom,
    ! [C1,C2] :
      ( iext(uri_owl_equivalentClass,C1,C2)
    <=> ( ic(C1)
        & ic(C2)
        & ! [X] :
            ( icext(C1,X)
          <=> icext(C2,X) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).

tff(c_10,plain,
    ic(uri_owl_Class),
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_28,plain,
    ic(uri_owl_Thing),
    inference(cnfTransformation,[status(thm)],[f_50]) ).

tff(c_2,plain,
    ! [X_1] : ir(X_1),
    inference(cnfTransformation,[status(thm)],[f_26]) ).

tff(c_32,plain,
    ! [X_8] :
      ( icext(uri_owl_Thing,X_8)
      | ~ ir(X_8) ),
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_63,plain,
    ! [X_8] : icext(uri_owl_Thing,X_8),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_32]) ).

tff(c_6521,plain,
    ! [C2_385,C1_386] :
      ( ~ icext(C2_385,'#skF_1'(C1_386,C2_385))
      | iext(uri_rdfs_subClassOf,C1_386,C2_385)
      | ~ ic(C2_385)
      | ~ ic(C1_386) ),
    inference(cnfTransformation,[status(thm)],[f_65]) ).

tff(c_6541,plain,
    ! [C1_386] :
      ( iext(uri_rdfs_subClassOf,C1_386,uri_owl_Thing)
      | ~ ic(uri_owl_Thing)
      | ~ ic(C1_386) ),
    inference(resolution,[status(thm)],[c_63,c_6521]) ).

tff(c_6584,plain,
    ! [C1_388] :
      ( iext(uri_rdfs_subClassOf,C1_388,uri_owl_Thing)
      | ~ ic(C1_388) ),
    inference(demodulation,[status(thm),theory(equality)],[c_28,c_6541]) ).

tff(c_14,plain,
    ! [X_5] :
      ( icext(uri_owl_Class,X_5)
      | ~ ic(X_5) ),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_553,plain,
    ! [X_112,C_113] :
      ( iext(uri_rdf_type,X_112,C_113)
      | ~ icext(C_113,X_112) ),
    inference(cnfTransformation,[status(thm)],[f_30]) ).

tff(c_91,plain,
    ! [X_38,C_39] :
      ( iext(uri_rdf_type,X_38,C_39)
      | ~ icext(C_39,X_38) ),
    inference(cnfTransformation,[status(thm)],[f_30]) ).

tff(c_60,plain,
    ( ~ iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)
    | ~ iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | ~ iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Class)
    | ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing) ),
    inference(cnfTransformation,[status(thm)],[f_86]) ).

tff(c_73,plain,
    ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Thing),
    inference(splitLeft,[status(thm)],[c_60]) ).

tff(c_97,plain,
    ~ icext(uri_owl_Thing,uri_owl_Class),
    inference(resolution,[status(thm)],[c_91,c_73]) ).

tff(c_102,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_63,c_97]) ).

tff(c_103,plain,
    ( ~ 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(splitRight,[status(thm)],[c_60]) ).

tff(c_120,plain,
    ~ iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class),
    inference(splitLeft,[status(thm)],[c_103]) ).

tff(c_22,plain,
    ic(uri_rdfs_Datatype),
    inference(cnfTransformation,[status(thm)],[f_45]) ).

tff(c_245,plain,
    ! [C1_88,C2_89] :
      ( icext(C1_88,'#skF_1'(C1_88,C2_89))
      | iext(uri_rdfs_subClassOf,C1_88,C2_89)
      | ~ ic(C2_89)
      | ~ ic(C1_88) ),
    inference(cnfTransformation,[status(thm)],[f_65]) ).

tff(c_24,plain,
    ! [X_7] :
      ( idc(X_7)
      | ~ icext(uri_rdfs_Datatype,X_7) ),
    inference(cnfTransformation,[status(thm)],[f_49]) ).

tff(c_259,plain,
    ! [C2_89] :
      ( idc('#skF_1'(uri_rdfs_Datatype,C2_89))
      | iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,C2_89)
      | ~ ic(C2_89)
      | ~ ic(uri_rdfs_Datatype) ),
    inference(resolution,[status(thm)],[c_245,c_24]) ).

tff(c_316,plain,
    ! [C2_95] :
      ( idc('#skF_1'(uri_rdfs_Datatype,C2_95))
      | iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,C2_95)
      | ~ ic(C2_95) ),
    inference(demodulation,[status(thm),theory(equality)],[c_22,c_259]) ).

tff(c_8,plain,
    ! [X_4] :
      ( ic(X_4)
      | ~ idc(X_4) ),
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(c_516,plain,
    ! [C2_107] :
      ( ic('#skF_1'(uri_rdfs_Datatype,C2_107))
      | iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,C2_107)
      | ~ ic(C2_107) ),
    inference(resolution,[status(thm)],[c_316,c_8]) ).

tff(c_180,plain,
    ! [C2_81,C1_82] :
      ( ~ icext(C2_81,'#skF_1'(C1_82,C2_81))
      | iext(uri_rdfs_subClassOf,C1_82,C2_81)
      | ~ ic(C2_81)
      | ~ ic(C1_82) ),
    inference(cnfTransformation,[status(thm)],[f_65]) ).

tff(c_192,plain,
    ! [C1_82] :
      ( iext(uri_rdfs_subClassOf,C1_82,uri_owl_Class)
      | ~ ic(uri_owl_Class)
      | ~ ic(C1_82)
      | ~ ic('#skF_1'(C1_82,uri_owl_Class)) ),
    inference(resolution,[status(thm)],[c_14,c_180]) ).

tff(c_205,plain,
    ! [C1_82] :
      ( iext(uri_rdfs_subClassOf,C1_82,uri_owl_Class)
      | ~ ic(C1_82)
      | ~ ic('#skF_1'(C1_82,uri_owl_Class)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_192]) ).

tff(c_524,plain,
    ( ~ ic(uri_rdfs_Datatype)
    | iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class)
    | ~ ic(uri_owl_Class) ),
    inference(resolution,[status(thm)],[c_516,c_205]) ).

tff(c_530,plain,
    iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_22,c_524]) ).

tff(c_532,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_120,c_530]) ).

tff(c_533,plain,
    ( ~ iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | ~ iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Class) ),
    inference(splitRight,[status(thm)],[c_103]) ).

tff(c_545,plain,
    ~ iext(uri_rdf_type,uri_owl_Class,uri_owl_Class),
    inference(splitLeft,[status(thm)],[c_533]) ).

tff(c_561,plain,
    ~ icext(uri_owl_Class,uri_owl_Class),
    inference(resolution,[status(thm)],[c_553,c_545]) ).

tff(c_564,plain,
    ~ ic(uri_owl_Class),
    inference(resolution,[status(thm)],[c_14,c_561]) ).

tff(c_568,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_564]) ).

tff(c_569,plain,
    ( ~ iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing)
    | ~ iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class) ),
    inference(splitRight,[status(thm)],[c_533]) ).

tff(c_587,plain,
    ~ iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class),
    inference(splitLeft,[status(thm)],[c_569]) ).

tff(c_16,plain,
    ic(uri_rdfs_Class),
    inference(cnfTransformation,[status(thm)],[f_40]) ).

tff(c_20,plain,
    ! [X_6] :
      ( icext(uri_rdfs_Class,X_6)
      | ~ ic(X_6) ),
    inference(cnfTransformation,[status(thm)],[f_44]) ).

tff(c_534,plain,
    iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,uri_owl_Class),
    inference(splitRight,[status(thm)],[c_103]) ).

tff(c_26,plain,
    ! [X_7] :
      ( icext(uri_rdfs_Datatype,X_7)
      | ~ idc(X_7) ),
    inference(cnfTransformation,[status(thm)],[f_49]) ).

tff(c_593,plain,
    ! [C2_120,X_121,C1_122] :
      ( icext(C2_120,X_121)
      | ~ icext(C1_122,X_121)
      | ~ iext(uri_rdfs_subClassOf,C1_122,C2_120) ),
    inference(cnfTransformation,[status(thm)],[f_65]) ).

tff(c_629,plain,
    ! [C2_132,X_133] :
      ( icext(C2_132,X_133)
      | ~ iext(uri_rdfs_subClassOf,uri_rdfs_Datatype,C2_132)
      | ~ idc(X_133) ),
    inference(resolution,[status(thm)],[c_26,c_593]) ).

tff(c_632,plain,
    ! [X_133] :
      ( icext(uri_owl_Class,X_133)
      | ~ idc(X_133) ),
    inference(resolution,[status(thm)],[c_534,c_629]) ).

tff(c_897,plain,
    ! [C1_174,C2_175] :
      ( ~ icext(C1_174,'#skF_2'(C1_174,C2_175))
      | ~ icext(C2_175,'#skF_3'(C1_174,C2_175))
      | iext(uri_owl_equivalentClass,C1_174,C2_175)
      | ~ ic(C2_175)
      | ~ ic(C1_174) ),
    inference(cnfTransformation,[status(thm)],[f_76]) ).

tff(c_900,plain,
    ! [C2_175] :
      ( ~ icext(C2_175,'#skF_3'(uri_owl_Class,C2_175))
      | iext(uri_owl_equivalentClass,uri_owl_Class,C2_175)
      | ~ ic(C2_175)
      | ~ ic(uri_owl_Class)
      | ~ idc('#skF_2'(uri_owl_Class,C2_175)) ),
    inference(resolution,[status(thm)],[c_632,c_897]) ).

tff(c_964,plain,
    ! [C2_178] :
      ( ~ icext(C2_178,'#skF_3'(uri_owl_Class,C2_178))
      | iext(uri_owl_equivalentClass,uri_owl_Class,C2_178)
      | ~ ic(C2_178)
      | ~ idc('#skF_2'(uri_owl_Class,C2_178)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_900]) ).

tff(c_976,plain,
    ( iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | ~ ic(uri_rdfs_Class)
    | ~ idc('#skF_2'(uri_owl_Class,uri_rdfs_Class))
    | ~ ic('#skF_3'(uri_owl_Class,uri_rdfs_Class)) ),
    inference(resolution,[status(thm)],[c_20,c_964]) ).

tff(c_993,plain,
    ( iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | ~ idc('#skF_2'(uri_owl_Class,uri_rdfs_Class))
    | ~ ic('#skF_3'(uri_owl_Class,uri_rdfs_Class)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_16,c_976]) ).

tff(c_994,plain,
    ( ~ idc('#skF_2'(uri_owl_Class,uri_rdfs_Class))
    | ~ ic('#skF_3'(uri_owl_Class,uri_rdfs_Class)) ),
    inference(negUnitSimplification,[status(thm)],[c_587,c_993]) ).

tff(c_1188,plain,
    ~ ic('#skF_3'(uri_owl_Class,uri_rdfs_Class)),
    inference(splitLeft,[status(thm)],[c_994]) ).

tff(c_1092,plain,
    ! [C2_181,C1_182] :
      ( icext(C2_181,'#skF_2'(C1_182,C2_181))
      | icext(C1_182,'#skF_3'(C1_182,C2_181))
      | iext(uri_owl_equivalentClass,C1_182,C2_181)
      | ~ ic(C2_181)
      | ~ ic(C1_182) ),
    inference(cnfTransformation,[status(thm)],[f_76]) ).

tff(c_18,plain,
    ! [X_6] :
      ( ic(X_6)
      | ~ icext(uri_rdfs_Class,X_6) ),
    inference(cnfTransformation,[status(thm)],[f_44]) ).

tff(c_1107,plain,
    ! [C1_182] :
      ( ic('#skF_2'(C1_182,uri_rdfs_Class))
      | icext(C1_182,'#skF_3'(C1_182,uri_rdfs_Class))
      | iext(uri_owl_equivalentClass,C1_182,uri_rdfs_Class)
      | ~ ic(uri_rdfs_Class)
      | ~ ic(C1_182) ),
    inference(resolution,[status(thm)],[c_1092,c_18]) ).

tff(c_2721,plain,
    ! [C1_238] :
      ( ic('#skF_2'(C1_238,uri_rdfs_Class))
      | icext(C1_238,'#skF_3'(C1_238,uri_rdfs_Class))
      | iext(uri_owl_equivalentClass,C1_238,uri_rdfs_Class)
      | ~ ic(C1_238) ),
    inference(demodulation,[status(thm),theory(equality)],[c_16,c_1107]) ).

tff(c_12,plain,
    ! [X_5] :
      ( ic(X_5)
      | ~ icext(uri_owl_Class,X_5) ),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_2747,plain,
    ( ic('#skF_3'(uri_owl_Class,uri_rdfs_Class))
    | ic('#skF_2'(uri_owl_Class,uri_rdfs_Class))
    | iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | ~ ic(uri_owl_Class) ),
    inference(resolution,[status(thm)],[c_2721,c_12]) ).

tff(c_2765,plain,
    ( ic('#skF_3'(uri_owl_Class,uri_rdfs_Class))
    | ic('#skF_2'(uri_owl_Class,uri_rdfs_Class))
    | iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class) ),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_2747]) ).

tff(c_2766,plain,
    ic('#skF_2'(uri_owl_Class,uri_rdfs_Class)),
    inference(negUnitSimplification,[status(thm)],[c_587,c_1188,c_2765]) ).

tff(c_1331,plain,
    ! [C1_196,C2_197] :
      ( ~ icext(C1_196,'#skF_2'(C1_196,C2_197))
      | icext(C1_196,'#skF_3'(C1_196,C2_197))
      | iext(uri_owl_equivalentClass,C1_196,C2_197)
      | ~ ic(C2_197)
      | ~ ic(C1_196) ),
    inference(cnfTransformation,[status(thm)],[f_76]) ).

tff(c_1357,plain,
    ! [C2_197] :
      ( ic('#skF_3'(uri_owl_Class,C2_197))
      | ~ icext(uri_owl_Class,'#skF_2'(uri_owl_Class,C2_197))
      | iext(uri_owl_equivalentClass,uri_owl_Class,C2_197)
      | ~ ic(C2_197)
      | ~ ic(uri_owl_Class) ),
    inference(resolution,[status(thm)],[c_1331,c_12]) ).

tff(c_3223,plain,
    ! [C2_252] :
      ( ic('#skF_3'(uri_owl_Class,C2_252))
      | ~ icext(uri_owl_Class,'#skF_2'(uri_owl_Class,C2_252))
      | iext(uri_owl_equivalentClass,uri_owl_Class,C2_252)
      | ~ ic(C2_252) ),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_1357]) ).

tff(c_3282,plain,
    ! [C2_253] :
      ( ic('#skF_3'(uri_owl_Class,C2_253))
      | iext(uri_owl_equivalentClass,uri_owl_Class,C2_253)
      | ~ ic(C2_253)
      | ~ ic('#skF_2'(uri_owl_Class,C2_253)) ),
    inference(resolution,[status(thm)],[c_14,c_3223]) ).

tff(c_3300,plain,
    ( iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | ~ ic(uri_rdfs_Class)
    | ~ ic('#skF_2'(uri_owl_Class,uri_rdfs_Class)) ),
    inference(resolution,[status(thm)],[c_3282,c_1188]) ).

tff(c_3316,plain,
    iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class),
    inference(demodulation,[status(thm),theory(equality)],[c_2766,c_16,c_3300]) ).

tff(c_3318,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_587,c_3316]) ).

tff(c_3320,plain,
    ic('#skF_3'(uri_owl_Class,uri_rdfs_Class)),
    inference(splitRight,[status(thm)],[c_994]) ).

tff(c_909,plain,
    ! [C2_175] :
      ( ~ icext(C2_175,'#skF_3'(uri_owl_Class,C2_175))
      | iext(uri_owl_equivalentClass,uri_owl_Class,C2_175)
      | ~ ic(C2_175)
      | ~ ic(uri_owl_Class)
      | ~ ic('#skF_2'(uri_owl_Class,C2_175)) ),
    inference(resolution,[status(thm)],[c_14,c_897]) ).

tff(c_5904,plain,
    ! [C2_342] :
      ( ~ icext(C2_342,'#skF_3'(uri_owl_Class,C2_342))
      | iext(uri_owl_equivalentClass,uri_owl_Class,C2_342)
      | ~ ic(C2_342)
      | ~ ic('#skF_2'(uri_owl_Class,C2_342)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_909]) ).

tff(c_5928,plain,
    ( iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | ~ ic(uri_rdfs_Class)
    | ~ ic('#skF_2'(uri_owl_Class,uri_rdfs_Class))
    | ~ ic('#skF_3'(uri_owl_Class,uri_rdfs_Class)) ),
    inference(resolution,[status(thm)],[c_20,c_5904]) ).

tff(c_5956,plain,
    ( iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | ~ ic('#skF_2'(uri_owl_Class,uri_rdfs_Class)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_3320,c_16,c_5928]) ).

tff(c_5957,plain,
    ~ ic('#skF_2'(uri_owl_Class,uri_rdfs_Class)),
    inference(negUnitSimplification,[status(thm)],[c_587,c_5956]) ).

tff(c_3357,plain,
    ! [C2_261,C1_262] :
      ( icext(C2_261,'#skF_2'(C1_262,C2_261))
      | ~ icext(C2_261,'#skF_3'(C1_262,C2_261))
      | iext(uri_owl_equivalentClass,C1_262,C2_261)
      | ~ ic(C2_261)
      | ~ ic(C1_262) ),
    inference(cnfTransformation,[status(thm)],[f_76]) ).

tff(c_3377,plain,
    ! [C1_262] :
      ( icext(uri_rdfs_Class,'#skF_2'(C1_262,uri_rdfs_Class))
      | iext(uri_owl_equivalentClass,C1_262,uri_rdfs_Class)
      | ~ ic(uri_rdfs_Class)
      | ~ ic(C1_262)
      | ~ ic('#skF_3'(C1_262,uri_rdfs_Class)) ),
    inference(resolution,[status(thm)],[c_20,c_3357]) ).

tff(c_6338,plain,
    ! [C1_354] :
      ( icext(uri_rdfs_Class,'#skF_2'(C1_354,uri_rdfs_Class))
      | iext(uri_owl_equivalentClass,C1_354,uri_rdfs_Class)
      | ~ ic(C1_354)
      | ~ ic('#skF_3'(C1_354,uri_rdfs_Class)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_16,c_3377]) ).

tff(c_6366,plain,
    ! [C1_355] :
      ( ic('#skF_2'(C1_355,uri_rdfs_Class))
      | iext(uri_owl_equivalentClass,C1_355,uri_rdfs_Class)
      | ~ ic(C1_355)
      | ~ ic('#skF_3'(C1_355,uri_rdfs_Class)) ),
    inference(resolution,[status(thm)],[c_6338,c_18]) ).

tff(c_6377,plain,
    ( ic('#skF_2'(uri_owl_Class,uri_rdfs_Class))
    | iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class)
    | ~ ic(uri_owl_Class) ),
    inference(resolution,[status(thm)],[c_3320,c_6366]) ).

tff(c_6387,plain,
    ( ic('#skF_2'(uri_owl_Class,uri_rdfs_Class))
    | iext(uri_owl_equivalentClass,uri_owl_Class,uri_rdfs_Class) ),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_6377]) ).

tff(c_6389,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_587,c_5957,c_6387]) ).

tff(c_6390,plain,
    ~ iext(uri_rdfs_subClassOf,uri_owl_Class,uri_owl_Thing),
    inference(splitRight,[status(thm)],[c_569]) ).

tff(c_6598,plain,
    ~ ic(uri_owl_Class),
    inference(resolution,[status(thm)],[c_6584,c_6390]) ).

tff(c_6617,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_6598]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SWB004+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.15  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.36  % Computer : n018.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Aug  3 18:36:20 EDT 2023
% 0.14/0.37  % CPUTime  : 
% 7.19/2.84  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.19/2.86  
% 7.19/2.86  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.19/2.90  
% 7.19/2.90  Inference rules
% 7.19/2.90  ----------------------
% 7.19/2.90  #Ref     : 0
% 7.19/2.90  #Sup     : 1198
% 7.19/2.90  #Fact    : 0
% 7.19/2.90  #Define  : 0
% 7.19/2.90  #Split   : 60
% 7.19/2.90  #Chain   : 0
% 7.19/2.90  #Close   : 0
% 7.19/2.90  
% 7.19/2.90  Ordering : KBO
% 7.19/2.90  
% 7.19/2.90  Simplification rules
% 7.19/2.90  ----------------------
% 7.19/2.90  #Subsume      : 291
% 7.19/2.90  #Demod        : 1088
% 7.19/2.90  #Tautology    : 436
% 7.19/2.90  #SimpNegUnit  : 51
% 7.19/2.90  #BackRed      : 0
% 7.19/2.90  
% 7.19/2.90  #Partial instantiations: 0
% 7.19/2.90  #Strategies tried      : 1
% 7.19/2.90  
% 7.19/2.90  Timing (in seconds)
% 7.19/2.90  ----------------------
% 7.19/2.91  Preprocessing        : 0.49
% 7.19/2.91  Parsing              : 0.26
% 7.19/2.91  CNF conversion       : 0.04
% 7.19/2.91  Main loop            : 1.32
% 7.19/2.91  Inferencing          : 0.51
% 7.19/2.91  Reduction            : 0.36
% 7.19/2.91  Demodulation         : 0.24
% 7.19/2.91  BG Simplification    : 0.04
% 7.19/2.91  Subsumption          : 0.32
% 7.19/2.91  Abstraction          : 0.04
% 7.19/2.91  MUC search           : 0.00
% 7.19/2.91  Cooper               : 0.00
% 7.19/2.91  Total                : 1.88
% 7.19/2.91  Index Insertion      : 0.00
% 7.19/2.91  Index Deletion       : 0.00
% 7.19/2.91  Index Matching       : 0.00
% 7.19/2.91  BG Taut test         : 0.00
%------------------------------------------------------------------------------