TSTP Solution File: SWB005+2 by CSE_E---1.5

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%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWB005+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% 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 : Thu Aug 31 20:01:47 EDT 2023

% Result   : Theorem 0.21s 0.60s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   50 (  14 unt;  12 typ;   0 def)
%            Number of atoms       :  103 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  111 (  46   ~;  40   |;  19   &)
%                                         (   5 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   4   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :   34 (   7 sgn;  20   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    ir: $i > $o ).

tff(decl_23,type,
    iext: ( $i * $i * $i ) > $o ).

tff(decl_24,type,
    ip: $i > $o ).

tff(decl_25,type,
    uri_rdf_type: $i ).

tff(decl_26,type,
    uri_rdf_Property: $i ).

tff(decl_27,type,
    icext: ( $i * $i ) > $o ).

tff(decl_28,type,
    uri_rdfs_Resource: $i ).

tff(decl_29,type,
    uri_owl_Thing: $i ).

tff(decl_30,type,
    uri_owl_ObjectProperty: $i ).

tff(decl_31,type,
    uri_ex_s: $i ).

tff(decl_32,type,
    uri_ex_p: $i ).

tff(decl_33,type,
    uri_ex_o: $i ).

fof(simple_iext_property,axiom,
    ! [X2,X3,X4] :
      ( iext(X3,X2,X4)
     => ip(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_iext_property) ).

fof(testcase_conclusion_fullish_005_Everything_is_a_Resource,conjecture,
    ( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    & iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    & iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    & iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    & iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    & iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    & iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_005_Everything_is_a_Resource) ).

fof(rdf_type_ip,axiom,
    ! [X3] :
      ( iext(uri_rdf_type,X3,uri_rdf_Property)
    <=> ip(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_type_ip) ).

fof(testcase_premise_fullish_005_Everything_is_a_Resource,axiom,
    iext(uri_ex_p,uri_ex_s,uri_ex_o),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_005_Everything_is_a_Resource) ).

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

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

fof(rdfs_cext_def,axiom,
    ! [X1,X5] :
      ( iext(uri_rdf_type,X1,X5)
    <=> icext(X5,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).

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

fof(owl_class_objectproperty_ext,axiom,
    ! [X1] :
      ( icext(uri_owl_ObjectProperty,X1)
    <=> ip(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_objectproperty_ext) ).

fof(c_0_9,plain,
    ! [X7,X8,X9] :
      ( ~ iext(X8,X7,X9)
      | ip(X8) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[simple_iext_property])]) ).

fof(c_0_10,negated_conjecture,
    ~ ( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
      & iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
      & iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
      & iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
      & iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
      & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
      & iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
      & iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
    inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_005_Everything_is_a_Resource]) ).

fof(c_0_11,plain,
    ! [X10] :
      ( ( ~ iext(uri_rdf_type,X10,uri_rdf_Property)
        | ip(X10) )
      & ( ~ ip(X10)
        | iext(uri_rdf_type,X10,uri_rdf_Property) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdf_type_ip])]) ).

cnf(c_0_12,plain,
    ( ip(X1)
    | ~ iext(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_13,plain,
    iext(uri_ex_p,uri_ex_s,uri_ex_o),
    inference(split_conjunct,[status(thm)],[testcase_premise_fullish_005_Everything_is_a_Resource]) ).

fof(c_0_14,plain,
    ! [X14] :
      ( ( ~ icext(uri_owl_Thing,X14)
        | ir(X14) )
      & ( ~ ir(X14)
        | icext(uri_owl_Thing,X14) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_class_thing_ext])]) ).

fof(c_0_15,plain,
    ! [X6] : ir(X6),
    inference(variable_rename,[status(thm)],[simple_ir]) ).

fof(c_0_16,negated_conjecture,
    ( ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
    inference(fof_nnf,[status(thm)],[c_0_10]) ).

cnf(c_0_17,plain,
    ( iext(uri_rdf_type,X1,uri_rdf_Property)
    | ~ ip(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_18,plain,
    ip(uri_ex_p),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

fof(c_0_19,plain,
    ! [X11,X12] :
      ( ( ~ iext(uri_rdf_type,X11,X12)
        | icext(X12,X11) )
      & ( ~ icext(X12,X11)
        | iext(uri_rdf_type,X11,X12) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).

cnf(c_0_20,plain,
    ( icext(uri_owl_Thing,X1)
    | ~ ir(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_21,plain,
    ir(X1),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_22,plain,
    ! [X13] :
      ( ( ~ ir(X13)
        | icext(uri_rdfs_Resource,X13) )
      & ( ~ icext(uri_rdfs_Resource,X13)
        | ir(X13) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_ir_def])]) ).

cnf(c_0_23,negated_conjecture,
    ( ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_24,plain,
    iext(uri_rdf_type,uri_ex_p,uri_rdf_Property),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_25,plain,
    ( iext(uri_rdf_type,X2,X1)
    | ~ icext(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_26,plain,
    icext(uri_owl_Thing,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21])]) ).

cnf(c_0_27,plain,
    ( icext(uri_rdfs_Resource,X1)
    | ~ ir(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

fof(c_0_28,plain,
    ! [X15] :
      ( ( ~ icext(uri_owl_ObjectProperty,X15)
        | ip(X15) )
      & ( ~ ip(X15)
        | icext(uri_owl_ObjectProperty,X15) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_class_objectproperty_ext])]) ).

cnf(c_0_29,negated_conjecture,
    ( ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24])]) ).

cnf(c_0_30,plain,
    iext(uri_rdf_type,X1,uri_owl_Thing),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_31,plain,
    icext(uri_rdfs_Resource,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_21])]) ).

cnf(c_0_32,plain,
    ( icext(uri_owl_ObjectProperty,X1)
    | ~ ip(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_33,negated_conjecture,
    ( ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
    | ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    | ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30]),c_0_30]),c_0_30])]) ).

cnf(c_0_34,plain,
    iext(uri_rdf_type,X1,uri_rdfs_Resource),
    inference(spm,[status(thm)],[c_0_25,c_0_31]) ).

cnf(c_0_35,plain,
    icext(uri_owl_ObjectProperty,uri_ex_p),
    inference(spm,[status(thm)],[c_0_32,c_0_18]) ).

cnf(c_0_36,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34]),c_0_34]),c_0_34])]) ).

cnf(c_0_37,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_35]),c_0_36]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SWB005+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35  % Computer : n019.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun Aug 27 06:49:13 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.59  start to proof: theBenchmark
% 0.21/0.60  % Version  : CSE_E---1.5
% 0.21/0.60  % Problem  : theBenchmark.p
% 0.21/0.60  % Proof found
% 0.21/0.60  % SZS status Theorem for theBenchmark.p
% 0.21/0.60  % SZS output start Proof
% See solution above
% 0.21/0.61  % Total time : 0.007000 s
% 0.21/0.61  % SZS output end Proof
% 0.21/0.61  % Total time : 0.009000 s
%------------------------------------------------------------------------------