TSTP Solution File: SWB013+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWB013+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.baksr700xb true

% Computer : n024.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 20:15:56 EDT 2023

% Result   : Theorem 1.30s 1.12s
% Output   : Refutation 1.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   40
% Syntax   : Number of formulae    :   88 (  28 unt;  31 typ;   0 def)
%            Number of atoms       :  179 (   3 equ;   0 cnn)
%            Maximal formula atoms :   19 (   3 avg)
%            Number of connectives :  708 (  74   ~;  72   |;  37   &; 512   @)
%                                         (   8 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   33 (  31 usr;  27 con; 0-3 aty)
%            Number of variables   :  124 (   0   ^; 118   !;   6   ?; 124   :)

% Comments : 
%------------------------------------------------------------------------------
thf(uri_ex_alice_type,type,
    uri_ex_alice: $i ).

thf(uri_owl_sameAs_type,type,
    uri_owl_sameAs: $i ).

thf(ip_type,type,
    ip: $i > $o ).

thf(uri_owl_ObjectProperty_type,type,
    uri_owl_ObjectProperty: $i ).

thf(uri_foaf_knows_type,type,
    uri_foaf_knows: $i ).

thf(uri_owl_Restriction_type,type,
    uri_owl_Restriction: $i ).

thf(iext_type,type,
    iext: $i > $i > $i > $o ).

thf(uri_ex_Clique_type,type,
    uri_ex_Clique: $i ).

thf(uri_owl_onProperty_type,type,
    uri_owl_onProperty: $i ).

thf(uri_ex_sameCliqueAs_type,type,
    uri_ex_sameCliqueAs: $i ).

thf(sk__14_type,type,
    sk__14: $i ).

thf(sk__12_type,type,
    sk__12: $i ).

thf(uri_rdfs_range_type,type,
    uri_rdfs_range: $i ).

thf(uri_rdf_nil_type,type,
    uri_rdf_nil: $i ).

thf(sk__13_type,type,
    sk__13: $i ).

thf(sk__type,type,
    sk_: $i > $i > $i > $i ).

thf(uri_owl_inverseOf_type,type,
    uri_owl_inverseOf: $i ).

thf(sk__11_type,type,
    sk__11: $i ).

thf(uri_ex_JoesGang_type,type,
    uri_ex_JoesGang: $i ).

thf(uri_rdfs_subPropertyOf_type,type,
    uri_rdfs_subPropertyOf: $i ).

thf(uri_owl_someValuesFrom_type,type,
    uri_owl_someValuesFrom: $i ).

thf(uri_rdf_type_type,type,
    uri_rdf_type: $i ).

thf(uri_owl_Class_type,type,
    uri_owl_Class: $i ).

thf(uri_owl_propertyChainAxiom_type,type,
    uri_owl_propertyChainAxiom: $i ).

thf(ic_type,type,
    ic: $i > $o ).

thf(uri_rdfs_subClassOf_type,type,
    uri_rdfs_subClassOf: $i ).

thf(uri_rdf_rest_type,type,
    uri_rdf_rest: $i ).

thf(sk__10_type,type,
    sk__10: $i ).

thf(uri_rdf_first_type,type,
    uri_rdf_first: $i ).

thf(icext_type,type,
    icext: $i > $i > $o ).

thf(uri_ex_bob_type,type,
    uri_ex_bob: $i ).

thf(testcase_conclusion_fullish_013_Cliques,conjecture,
    iext @ uri_foaf_knows @ uri_ex_alice @ uri_ex_bob ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( iext @ uri_foaf_knows @ uri_ex_alice @ uri_ex_bob ),
    inference('cnf.neg',[status(esa)],[testcase_conclusion_fullish_013_Cliques]) ).

thf(zip_derived_cl32,plain,
    ~ ( iext @ uri_foaf_knows @ uri_ex_alice @ uri_ex_bob ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(testcase_premise_fullish_013_Cliques,axiom,
    ? [BNODE_r: $i,BNODE_i: $i,BNODE_l1: $i,BNODE_l2: $i,BNODE_l3: $i] :
      ( ( iext @ uri_rdf_type @ uri_ex_bob @ uri_ex_JoesGang )
      & ( iext @ uri_rdf_type @ uri_ex_alice @ uri_ex_JoesGang )
      & ( iext @ uri_rdf_type @ uri_ex_JoesGang @ uri_ex_Clique )
      & ( iext @ uri_owl_inverseOf @ BNODE_i @ uri_rdf_type )
      & ( iext @ uri_rdf_rest @ BNODE_l3 @ uri_rdf_nil )
      & ( iext @ uri_rdf_first @ BNODE_l3 @ BNODE_i )
      & ( iext @ uri_rdf_rest @ BNODE_l2 @ BNODE_l3 )
      & ( iext @ uri_rdf_first @ BNODE_l2 @ uri_ex_sameCliqueAs )
      & ( iext @ uri_rdf_rest @ BNODE_l1 @ BNODE_l2 )
      & ( iext @ uri_rdf_first @ BNODE_l1 @ uri_rdf_type )
      & ( iext @ uri_owl_propertyChainAxiom @ uri_foaf_knows @ BNODE_l1 )
      & ( iext @ uri_rdf_type @ uri_foaf_knows @ uri_owl_ObjectProperty )
      & ( iext @ uri_owl_someValuesFrom @ BNODE_r @ uri_ex_Clique )
      & ( iext @ uri_owl_onProperty @ BNODE_r @ uri_ex_sameCliqueAs )
      & ( iext @ uri_rdf_type @ BNODE_r @ uri_owl_Restriction )
      & ( iext @ uri_rdfs_subClassOf @ uri_ex_Clique @ BNODE_r )
      & ( iext @ uri_rdfs_range @ uri_ex_sameCliqueAs @ uri_ex_Clique )
      & ( iext @ uri_rdfs_subPropertyOf @ uri_ex_sameCliqueAs @ uri_owl_sameAs )
      & ( iext @ uri_rdf_type @ uri_ex_Clique @ uri_owl_Class ) ) ).

thf(zip_derived_cl44,plain,
    iext @ uri_owl_propertyChainAxiom @ uri_foaf_knows @ sk__12,
    inference(cnf,[status(esa)],[testcase_premise_fullish_013_Cliques]) ).

thf(zip_derived_cl50,plain,
    iext @ uri_rdf_type @ uri_ex_alice @ uri_ex_JoesGang,
    inference(cnf,[status(esa)],[testcase_premise_fullish_013_Cliques]) ).

thf(zip_derived_cl51,plain,
    iext @ uri_rdf_type @ uri_ex_bob @ uri_ex_JoesGang,
    inference(cnf,[status(esa)],[testcase_premise_fullish_013_Cliques]) ).

thf(zip_derived_cl48,plain,
    iext @ uri_owl_inverseOf @ sk__11 @ uri_rdf_type,
    inference(cnf,[status(esa)],[testcase_premise_fullish_013_Cliques]) ).

thf(owl_inv,axiom,
    ! [P1: $i,P2: $i] :
      ( ( iext @ uri_owl_inverseOf @ P1 @ P2 )
    <=> ( ( ip @ P1 )
        & ( ip @ P2 )
        & ! [X: $i,Y: $i] :
            ( ( iext @ P1 @ X @ Y )
          <=> ( iext @ P2 @ Y @ X ) ) ) ) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( iext @ X0 @ X1 @ X2 )
      | ( iext @ X3 @ X2 @ X1 )
      | ~ ( iext @ uri_owl_inverseOf @ X3 @ X0 ) ),
    inference(cnf,[status(esa)],[owl_inv]) ).

thf(zip_derived_cl78,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( iext @ uri_rdf_type @ X1 @ X0 )
      | ( iext @ sk__11 @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl29]) ).

thf(zip_derived_cl189,plain,
    iext @ sk__11 @ uri_ex_JoesGang @ uri_ex_bob,
    inference('s_sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl78]) ).

thf(zip_derived_cl34,plain,
    iext @ uri_rdf_first @ sk__14 @ sk__11,
    inference(cnf,[status(esa)],[testcase_premise_fullish_013_Cliques]) ).

thf(zip_derived_cl45,plain,
    iext @ uri_rdf_first @ sk__12 @ uri_rdf_type,
    inference(cnf,[status(esa)],[testcase_premise_fullish_013_Cliques]) ).

thf(zip_derived_cl46,plain,
    iext @ uri_rdf_rest @ sk__12 @ sk__13,
    inference(cnf,[status(esa)],[testcase_premise_fullish_013_Cliques]) ).

thf(zip_derived_cl47,plain,
    iext @ uri_rdf_first @ sk__13 @ uri_ex_sameCliqueAs,
    inference(cnf,[status(esa)],[testcase_premise_fullish_013_Cliques]) ).

thf(zip_derived_cl35,plain,
    iext @ uri_rdf_rest @ sk__13 @ sk__14,
    inference(cnf,[status(esa)],[testcase_premise_fullish_013_Cliques]) ).

thf(zip_derived_cl33,plain,
    iext @ uri_rdf_rest @ sk__14 @ uri_rdf_nil,
    inference(cnf,[status(esa)],[testcase_premise_fullish_013_Cliques]) ).

thf(owl_chain_003,axiom,
    ! [P: $i,S1: $i,P1: $i,S2: $i,P2: $i,S3: $i,P3: $i] :
      ( ( ( iext @ uri_rdf_first @ S1 @ P1 )
        & ( iext @ uri_rdf_rest @ S1 @ S2 )
        & ( iext @ uri_rdf_first @ S2 @ P2 )
        & ( iext @ uri_rdf_rest @ S2 @ S3 )
        & ( iext @ uri_rdf_first @ S3 @ P3 )
        & ( iext @ uri_rdf_rest @ S3 @ uri_rdf_nil ) )
     => ( ( iext @ uri_owl_propertyChainAxiom @ P @ S1 )
      <=> ( ( ip @ P )
          & ( ip @ P1 )
          & ( ip @ P2 )
          & ( ip @ P3 )
          & ! [Y0: $i,Y1: $i,Y2: $i,Y3: $i] :
              ( ( ( iext @ P1 @ Y0 @ Y1 )
                & ( iext @ P2 @ Y1 @ Y2 )
                & ( iext @ P3 @ Y2 @ Y3 ) )
             => ( iext @ P @ Y0 @ Y3 ) ) ) ) ) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( iext @ uri_rdf_rest @ X0 @ uri_rdf_nil )
      | ~ ( iext @ uri_rdf_rest @ X1 @ X0 )
      | ~ ( iext @ uri_rdf_first @ X1 @ X2 )
      | ~ ( iext @ uri_rdf_rest @ X3 @ X1 )
      | ~ ( iext @ uri_rdf_first @ X3 @ X4 )
      | ~ ( iext @ uri_rdf_first @ X0 @ X5 )
      | ( iext @ X6 @ X7 @ X8 )
      | ~ ( iext @ X5 @ X9 @ X8 )
      | ~ ( iext @ X4 @ X7 @ X10 )
      | ~ ( iext @ X2 @ X10 @ X9 )
      | ~ ( iext @ uri_owl_propertyChainAxiom @ X6 @ X3 ) ),
    inference(cnf,[status(esa)],[owl_chain_003]) ).

thf(zip_derived_cl159,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ~ ( iext @ uri_rdf_rest @ X0 @ sk__14 )
      | ~ ( iext @ uri_rdf_first @ X0 @ X1 )
      | ~ ( iext @ uri_rdf_rest @ X2 @ X0 )
      | ~ ( iext @ uri_rdf_first @ X2 @ X3 )
      | ~ ( iext @ uri_rdf_first @ sk__14 @ X4 )
      | ( iext @ X7 @ X6 @ X5 )
      | ~ ( iext @ X4 @ X8 @ X5 )
      | ~ ( iext @ X3 @ X6 @ X9 )
      | ~ ( iext @ X1 @ X9 @ X8 )
      | ~ ( iext @ uri_owl_propertyChainAxiom @ X7 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl21]) ).

thf(zip_derived_cl553,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( iext @ uri_rdf_first @ sk__13 @ X0 )
      | ~ ( iext @ uri_rdf_rest @ X1 @ sk__13 )
      | ~ ( iext @ uri_rdf_first @ X1 @ X2 )
      | ~ ( iext @ uri_rdf_first @ sk__14 @ X3 )
      | ( iext @ X6 @ X5 @ X4 )
      | ~ ( iext @ X3 @ X7 @ X4 )
      | ~ ( iext @ X2 @ X5 @ X8 )
      | ~ ( iext @ X0 @ X8 @ X7 )
      | ~ ( iext @ uri_owl_propertyChainAxiom @ X6 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl159]) ).

thf(zip_derived_cl562,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ~ ( iext @ uri_rdf_rest @ X0 @ sk__13 )
      | ~ ( iext @ uri_rdf_first @ X0 @ X1 )
      | ~ ( iext @ uri_rdf_first @ sk__14 @ X2 )
      | ( iext @ X5 @ X4 @ X3 )
      | ~ ( iext @ X2 @ X6 @ X3 )
      | ~ ( iext @ X1 @ X4 @ X7 )
      | ~ ( iext @ uri_ex_sameCliqueAs @ X7 @ X6 )
      | ~ ( iext @ uri_owl_propertyChainAxiom @ X5 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl553]) ).

thf(zip_derived_cl563,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( iext @ uri_rdf_first @ sk__12 @ X0 )
      | ~ ( iext @ uri_rdf_first @ sk__14 @ X1 )
      | ( iext @ X4 @ X3 @ X2 )
      | ~ ( iext @ X1 @ X5 @ X2 )
      | ~ ( iext @ X0 @ X3 @ X6 )
      | ~ ( iext @ uri_ex_sameCliqueAs @ X6 @ X5 )
      | ~ ( iext @ uri_owl_propertyChainAxiom @ X4 @ sk__12 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl562]) ).

thf(zip_derived_cl564,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( iext @ uri_rdf_first @ sk__14 @ X0 )
      | ( iext @ X3 @ X2 @ X1 )
      | ~ ( iext @ X0 @ X4 @ X1 )
      | ~ ( iext @ uri_rdf_type @ X2 @ X5 )
      | ~ ( iext @ uri_ex_sameCliqueAs @ X5 @ X4 )
      | ~ ( iext @ uri_owl_propertyChainAxiom @ X3 @ sk__12 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl563]) ).

thf(zip_derived_cl565,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( iext @ X2 @ X1 @ X0 )
      | ~ ( iext @ sk__11 @ X3 @ X0 )
      | ~ ( iext @ uri_rdf_type @ X1 @ X4 )
      | ~ ( iext @ uri_ex_sameCliqueAs @ X4 @ X3 )
      | ~ ( iext @ uri_owl_propertyChainAxiom @ X2 @ sk__12 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl564]) ).

thf(zip_derived_cl579,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( iext @ X1 @ X0 @ uri_ex_bob )
      | ~ ( iext @ uri_rdf_type @ X0 @ X2 )
      | ~ ( iext @ uri_ex_sameCliqueAs @ X2 @ uri_ex_JoesGang )
      | ~ ( iext @ uri_owl_propertyChainAxiom @ X1 @ sk__12 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl189,zip_derived_cl565]) ).

thf(zip_derived_cl662,plain,
    ! [X0: $i] :
      ( ( iext @ X0 @ uri_ex_alice @ uri_ex_bob )
      | ~ ( iext @ uri_ex_sameCliqueAs @ uri_ex_JoesGang @ uri_ex_JoesGang )
      | ~ ( iext @ uri_owl_propertyChainAxiom @ X0 @ sk__12 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl579]) ).

thf(zip_derived_cl42,plain,
    iext @ uri_owl_someValuesFrom @ sk__10 @ uri_ex_Clique,
    inference(cnf,[status(esa)],[testcase_premise_fullish_013_Cliques]) ).

thf(zip_derived_cl49,plain,
    iext @ uri_rdf_type @ uri_ex_JoesGang @ uri_ex_Clique,
    inference(cnf,[status(esa)],[testcase_premise_fullish_013_Cliques]) ).

thf(rdfs_cext_def,axiom,
    ! [X: $i,C: $i] :
      ( ( iext @ uri_rdf_type @ X @ C )
    <=> ( icext @ C @ X ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( icext @ X0 @ X1 )
      | ~ ( iext @ uri_rdf_type @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[rdfs_cext_def]) ).

thf(zip_derived_cl70,plain,
    icext @ uri_ex_Clique @ uri_ex_JoesGang,
    inference('s_sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl0]) ).

thf(zip_derived_cl39,plain,
    iext @ uri_rdfs_subClassOf @ uri_ex_Clique @ sk__10,
    inference(cnf,[status(esa)],[testcase_premise_fullish_013_Cliques]) ).

thf(owl_rdfsext_subclassof,axiom,
    ! [C1: $i,C2: $i] :
      ( ( iext @ uri_rdfs_subClassOf @ C1 @ C2 )
    <=> ( ( ic @ C1 )
        & ( ic @ C2 )
        & ! [X: $i] :
            ( ( icext @ C1 @ X )
           => ( icext @ C2 @ X ) ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( icext @ X0 @ X1 )
      | ( icext @ X2 @ X1 )
      | ~ ( iext @ uri_rdfs_subClassOf @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[owl_rdfsext_subclassof]) ).

thf(zip_derived_cl72,plain,
    ! [X0: $i] :
      ( ~ ( icext @ uri_ex_Clique @ X0 )
      | ( icext @ sk__10 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl7]) ).

thf(zip_derived_cl165,plain,
    icext @ sk__10 @ uri_ex_JoesGang,
    inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl72]) ).

thf(zip_derived_cl41,plain,
    iext @ uri_owl_onProperty @ sk__10 @ uri_ex_sameCliqueAs,
    inference(cnf,[status(esa)],[testcase_premise_fullish_013_Cliques]) ).

thf(owl_restrict_somevaluesfrom,axiom,
    ! [Z: $i,P: $i,C: $i] :
      ( ( ( iext @ uri_owl_someValuesFrom @ Z @ C )
        & ( iext @ uri_owl_onProperty @ Z @ P ) )
     => ! [X: $i] :
          ( ( icext @ Z @ X )
        <=> ? [Y: $i] :
              ( ( icext @ C @ Y )
              & ( iext @ P @ X @ Y ) ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( iext @ uri_owl_onProperty @ X0 @ X1 )
      | ~ ( iext @ uri_owl_someValuesFrom @ X0 @ X2 )
      | ( iext @ X1 @ X3 @ ( sk_ @ X3 @ X2 @ X1 ) )
      | ~ ( icext @ X0 @ X3 ) ),
    inference(cnf,[status(esa)],[owl_restrict_somevaluesfrom]) ).

thf(zip_derived_cl69,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( iext @ uri_owl_someValuesFrom @ sk__10 @ X0 )
      | ( iext @ uri_ex_sameCliqueAs @ X1 @ ( sk_ @ X1 @ X0 @ uri_ex_sameCliqueAs ) )
      | ~ ( icext @ sk__10 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl3]) ).

thf(zip_derived_cl202,plain,
    ! [X0: $i] :
      ( ~ ( iext @ uri_owl_someValuesFrom @ sk__10 @ X0 )
      | ( iext @ uri_ex_sameCliqueAs @ uri_ex_JoesGang @ ( sk_ @ uri_ex_JoesGang @ X0 @ uri_ex_sameCliqueAs ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl165,zip_derived_cl69]) ).

thf(zip_derived_cl246,plain,
    iext @ uri_ex_sameCliqueAs @ uri_ex_JoesGang @ ( sk_ @ uri_ex_JoesGang @ uri_ex_Clique @ uri_ex_sameCliqueAs ),
    inference('s_sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl202]) ).

thf(zip_derived_cl246_001,plain,
    iext @ uri_ex_sameCliqueAs @ uri_ex_JoesGang @ ( sk_ @ uri_ex_JoesGang @ uri_ex_Clique @ uri_ex_sameCliqueAs ),
    inference('s_sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl202]) ).

thf(zip_derived_cl37,plain,
    iext @ uri_rdfs_subPropertyOf @ uri_ex_sameCliqueAs @ uri_owl_sameAs,
    inference(cnf,[status(esa)],[testcase_premise_fullish_013_Cliques]) ).

thf(owl_rdfsext_subpropertyof,axiom,
    ! [P1: $i,P2: $i] :
      ( ( iext @ uri_rdfs_subPropertyOf @ P1 @ P2 )
    <=> ( ( ip @ P1 )
        & ( ip @ P2 )
        & ! [X: $i,Y: $i] :
            ( ( iext @ P1 @ X @ Y )
           => ( iext @ P2 @ X @ Y ) ) ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( iext @ X0 @ X1 @ X2 )
      | ( iext @ X3 @ X1 @ X2 )
      | ~ ( iext @ uri_rdfs_subPropertyOf @ X0 @ X3 ) ),
    inference(cnf,[status(esa)],[owl_rdfsext_subpropertyof]) ).

thf(zip_derived_cl73,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( iext @ uri_ex_sameCliqueAs @ X1 @ X0 )
      | ( iext @ uri_owl_sameAs @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl12]) ).

thf(zip_derived_cl247,plain,
    iext @ uri_owl_sameAs @ uri_ex_JoesGang @ ( sk_ @ uri_ex_JoesGang @ uri_ex_Clique @ uri_ex_sameCliqueAs ),
    inference('s_sup-',[status(thm)],[zip_derived_cl246,zip_derived_cl73]) ).

thf(owl_eqdis_sameas,axiom,
    ! [X: $i,Y: $i] :
      ( ( iext @ uri_owl_sameAs @ X @ Y )
    <=> ( X = Y ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ~ ( iext @ uri_owl_sameAs @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[owl_eqdis_sameas]) ).

thf(zip_derived_cl249,plain,
    ( uri_ex_JoesGang
    = ( sk_ @ uri_ex_JoesGang @ uri_ex_Clique @ uri_ex_sameCliqueAs ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl247,zip_derived_cl15]) ).

thf(zip_derived_cl257,plain,
    iext @ uri_ex_sameCliqueAs @ uri_ex_JoesGang @ uri_ex_JoesGang,
    inference(demod,[status(thm)],[zip_derived_cl246,zip_derived_cl249]) ).

thf(zip_derived_cl685,plain,
    ! [X0: $i] :
      ( ( iext @ X0 @ uri_ex_alice @ uri_ex_bob )
      | ~ ( iext @ uri_owl_propertyChainAxiom @ X0 @ sk__12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl662,zip_derived_cl257]) ).

thf(zip_derived_cl687,plain,
    iext @ uri_foaf_knows @ uri_ex_alice @ uri_ex_bob,
    inference('s_sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl685]) ).

thf(zip_derived_cl688,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl687]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SWB013+2 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.baksr700xb true
% 0.11/0.33  % Computer : n024.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Sun Aug 27 07:20:53 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 0.11/0.33  % Running portfolio for 300 s
% 0.11/0.33  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33  % Number of cores: 8
% 0.11/0.33  % Python version: Python 3.6.8
% 0.11/0.33  % Running in FO mode
% 0.18/0.63  % Total configuration time : 435
% 0.18/0.63  % Estimated wc time : 1092
% 0.18/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.71  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.71  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.72  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.72  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.72  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.30/1.12  % Solved by fo/fo13.sh.
% 1.30/1.12  % done 346 iterations in 0.363s
% 1.30/1.12  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.30/1.12  % SZS output start Refutation
% See solution above
% 1.30/1.12  
% 1.30/1.12  
% 1.30/1.12  % Terminating...
% 1.70/1.25  % Runner terminated.
% 1.70/1.26  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------