TSTP Solution File: SWB002+4 by CSE_E---1.5

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%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWB002+4 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n006.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 20:01:44 EDT 2023

% Result   : Theorem 0.19s 0.57s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   45
% Syntax   : Number of formulae    :   52 (   3 unt;  43 typ;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (   5   ~;   2   |;   4   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   6   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :   37 (  37 usr;  37 con; 0-0 aty)
%            Number of variables   :    9 (   0 sgn;   2   !;   5   ?;   0   :)

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

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

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

tff(decl_25,type,
    lv: $i > $o ).

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

tff(decl_27,type,
    uri_rdf_first: $i ).

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

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

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

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

tff(decl_32,type,
    uri_rdf__1: $i ).

tff(decl_33,type,
    uri_rdf__2: $i ).

tff(decl_34,type,
    uri_rdf__3: $i ).

tff(decl_35,type,
    uri_rdf_object: $i ).

tff(decl_36,type,
    uri_rdf_value: $i ).

tff(decl_37,type,
    uri_rdf_subject: $i ).

tff(decl_38,type,
    uri_rdfs_domain: $i ).

tff(decl_39,type,
    uri_rdfs_comment: $i ).

tff(decl_40,type,
    uri_rdfs_Resource: $i ).

tff(decl_41,type,
    uri_rdfs_range: $i ).

tff(decl_42,type,
    uri_rdfs_Literal: $i ).

tff(decl_43,type,
    uri_rdfs_isDefinedBy: $i ).

tff(decl_44,type,
    uri_rdfs_subPropertyOf: $i ).

tff(decl_45,type,
    uri_rdfs_seeAlso: $i ).

tff(decl_46,type,
    uri_rdfs_label: $i ).

tff(decl_47,type,
    icext: ( $i * $i ) > $o ).

tff(decl_48,type,
    ic: $i > $o ).

tff(decl_49,type,
    uri_rdfs_subClassOf: $i ).

tff(decl_50,type,
    uri_rdf_Alt: $i ).

tff(decl_51,type,
    uri_rdfs_Container: $i ).

tff(decl_52,type,
    uri_rdf_Bag: $i ).

tff(decl_53,type,
    uri_rdfs_ContainerMembershipProperty: $i ).

tff(decl_54,type,
    uri_rdfs_member: $i ).

tff(decl_55,type,
    uri_rdfs_Seq: $i ).

tff(decl_56,type,
    uri_rdf_XMLLiteral: $i ).

tff(decl_57,type,
    uri_rdfs_Datatype: $i ).

tff(decl_58,type,
    uri_rdfs_Class: $i ).

tff(decl_59,type,
    uri_rdfs_Statement: $i ).

tff(decl_60,type,
    uri_rdf_predicate: $i ).

tff(decl_61,type,
    uri_ex_p: $i ).

tff(decl_62,type,
    uri_ex_q: $i ).

tff(decl_63,type,
    uri_ex_s: $i ).

tff(decl_64,type,
    esk1_0: $i ).

fof(testcase_conclusion_fullish_002_Existential_Blank_Nodes,conjecture,
    ? [X11,X12] :
      ( iext(uri_ex_p,X11,X12)
      & iext(uri_ex_q,X12,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_002_Existential_Blank_Nodes) ).

fof(testcase_premise_fullish_002_Existential_Blank_Nodes,axiom,
    ? [X13] :
      ( iext(uri_ex_p,uri_ex_s,X13)
      & iext(uri_ex_q,X13,uri_ex_s) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_002_Existential_Blank_Nodes) ).

fof(c_0_2,negated_conjecture,
    ~ ? [X11,X12] :
        ( iext(uri_ex_p,X11,X12)
        & iext(uri_ex_q,X12,X11) ),
    inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_002_Existential_Blank_Nodes]) ).

fof(c_0_3,negated_conjecture,
    ! [X51,X52] :
      ( ~ iext(uri_ex_p,X51,X52)
      | ~ iext(uri_ex_q,X52,X51) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])]) ).

fof(c_0_4,plain,
    ( iext(uri_ex_p,uri_ex_s,esk1_0)
    & iext(uri_ex_q,esk1_0,uri_ex_s) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_002_Existential_Blank_Nodes])]) ).

cnf(c_0_5,negated_conjecture,
    ( ~ iext(uri_ex_p,X1,X2)
    | ~ iext(uri_ex_q,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,plain,
    iext(uri_ex_q,esk1_0,uri_ex_s),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    iext(uri_ex_p,uri_ex_s,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWB002+4 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.12  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33  % Computer : n006.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Sun Aug 27 07:22:22 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.19/0.55  start to proof: theBenchmark
% 0.19/0.57  % Version  : CSE_E---1.5
% 0.19/0.57  % Problem  : theBenchmark.p
% 0.19/0.57  % Proof found
% 0.19/0.57  % SZS status Theorem for theBenchmark.p
% 0.19/0.57  % SZS output start Proof
% See solution above
% 0.19/0.58  % Total time : 0.010000 s
% 0.19/0.58  % SZS output end Proof
% 0.19/0.58  % Total time : 0.014000 s
%------------------------------------------------------------------------------