TSTP Solution File: SWB043+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWB043+1 : 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.JIa2f83ioh true

% 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 : Thu Aug 31 20:16:14 EDT 2023

% Result   : Theorem 2.62s 1.21s
% Output   : Refutation 2.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   60 (  19 unt;  14 typ;   0 def)
%            Number of atoms       :  103 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  381 (  37   ~;  37   |;  10   &; 287   @)
%                                         (   2 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  14 usr;  10 con; 0-3 aty)
%            Number of variables   :   59 (   0   ^;  58   !;   1   ?;  59   :)

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

thf(sk__16_type,type,
    sk__16: $i ).

thf(uri_rdf_List_type,type,
    uri_rdf_List: $i ).

thf(uri_ex_p_type,type,
    uri_ex_p: $i ).

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

thf(uri_ex_p1_type,type,
    uri_ex_p1: $i ).

thf(sk__5_type,type,
    sk__5: $i > $i > $i ).

thf(sk__4_type,type,
    sk__4: $i > $i > $i ).

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

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

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

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

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

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

thf(conclusion_rdfbased_sem_chain_subprop,conjecture,
    iext @ uri_rdfs_subPropertyOf @ uri_ex_p1 @ uri_ex_p ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( iext @ uri_rdfs_subPropertyOf @ uri_ex_p1 @ uri_ex_p ),
    inference('cnf.neg',[status(esa)],[conclusion_rdfbased_sem_chain_subprop]) ).

thf(zip_derived_cl101,plain,
    ~ ( iext @ uri_rdfs_subPropertyOf @ uri_ex_p1 @ uri_ex_p ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(rdfs_subpropertyof_reflex,axiom,
    ! [P: $i] :
      ( ( ip @ P )
     => ( iext @ uri_rdfs_subPropertyOf @ P @ P ) ) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i] :
      ( ( iext @ uri_rdfs_subPropertyOf @ X0 @ X0 )
      | ~ ( ip @ X0 ) ),
    inference(cnf,[status(esa)],[rdfs_subpropertyof_reflex]) ).

thf(premise_rdfbased_sem_chain_subprop,axiom,
    ? [X0: $i] :
      ( ( iext @ uri_rdf_rest @ X0 @ uri_rdf_nil )
      & ( iext @ uri_rdf_first @ X0 @ uri_ex_p1 )
      & ( iext @ uri_owl_propertyChainAxiom @ uri_ex_p @ X0 ) ) ).

thf(zip_derived_cl99,plain,
    iext @ uri_rdf_first @ sk__16 @ uri_ex_p1,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_chain_subprop]) ).

thf(owl_chain_001,axiom,
    ! [P: $i,S1: $i,P1: $i] :
      ( ( ( iext @ uri_rdf_first @ S1 @ P1 )
        & ( iext @ uri_rdf_rest @ S1 @ uri_rdf_nil ) )
     => ( ( iext @ uri_owl_propertyChainAxiom @ P @ S1 )
      <=> ( ( ip @ P )
          & ( ip @ P1 )
          & ! [Y0: $i,Y1: $i] :
              ( ( iext @ P1 @ Y0 @ Y1 )
             => ( iext @ P @ Y0 @ Y1 ) ) ) ) ) ).

thf(zip_derived_cl78,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( iext @ uri_rdf_rest @ X0 @ uri_rdf_nil )
      | ~ ( iext @ uri_rdf_first @ X0 @ X1 )
      | ( ip @ X1 )
      | ~ ( iext @ uri_owl_propertyChainAxiom @ X2 @ X0 ) ),
    inference(cnf,[status(esa)],[owl_chain_001]) ).

thf(zip_derived_cl429,plain,
    ! [X0: $i] :
      ( ~ ( iext @ uri_owl_propertyChainAxiom @ X0 @ sk__16 )
      | ( ip @ uri_ex_p1 )
      | ~ ( iext @ uri_rdf_rest @ sk__16 @ uri_rdf_nil ) ),
    inference('sup-',[status(thm)],[zip_derived_cl99,zip_derived_cl78]) ).

thf(zip_derived_cl100,plain,
    iext @ uri_rdf_rest @ sk__16 @ uri_rdf_nil,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_chain_subprop]) ).

thf(zip_derived_cl430,plain,
    ! [X0: $i] :
      ( ~ ( iext @ uri_owl_propertyChainAxiom @ X0 @ sk__16 )
      | ( ip @ uri_ex_p1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl429,zip_derived_cl100]) ).

thf(zip_derived_cl98,plain,
    iext @ uri_owl_propertyChainAxiom @ uri_ex_p @ sk__16,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_chain_subprop]) ).

thf(zip_derived_cl733,plain,
    ip @ uri_ex_p1,
    inference('sup+',[status(thm)],[zip_derived_cl430,zip_derived_cl98]) ).

thf(zip_derived_cl98_001,plain,
    iext @ uri_owl_propertyChainAxiom @ uri_ex_p @ sk__16,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_chain_subprop]) ).

thf(owl_prop_propertychainaxiom_ext,axiom,
    ! [X: $i,Y: $i] :
      ( ( iext @ uri_owl_propertyChainAxiom @ X @ Y )
     => ( ( ip @ X )
        & ( icext @ uri_rdf_List @ Y ) ) ) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i,X1: $i] :
      ( ( ip @ X0 )
      | ~ ( iext @ uri_owl_propertyChainAxiom @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[owl_prop_propertychainaxiom_ext]) ).

thf(zip_derived_cl152,plain,
    ip @ uri_ex_p,
    inference('sup-',[status(thm)],[zip_derived_cl98,zip_derived_cl53]) ).

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_cl72,plain,
    ! [X0: $i,X1: $i] :
      ( ( iext @ uri_rdfs_subPropertyOf @ X0 @ X1 )
      | ( iext @ X0 @ ( sk__4 @ X1 @ X0 ) @ ( sk__5 @ X1 @ X0 ) )
      | ~ ( ip @ X1 )
      | ~ ( ip @ X0 ) ),
    inference(cnf,[status(esa)],[owl_rdfsext_subpropertyof]) ).

thf(zip_derived_cl526,plain,
    ! [X0: $i] :
      ( ~ ( ip @ X0 )
      | ( iext @ X0 @ ( sk__4 @ uri_ex_p @ X0 ) @ ( sk__5 @ uri_ex_p @ X0 ) )
      | ( iext @ uri_rdfs_subPropertyOf @ X0 @ uri_ex_p ) ),
    inference('sup-',[status(thm)],[zip_derived_cl152,zip_derived_cl72]) ).

thf(zip_derived_cl4328,plain,
    ( ( iext @ uri_rdfs_subPropertyOf @ uri_ex_p1 @ uri_ex_p )
    | ( iext @ uri_ex_p1 @ ( sk__4 @ uri_ex_p @ uri_ex_p1 ) @ ( sk__5 @ uri_ex_p @ uri_ex_p1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl733,zip_derived_cl526]) ).

thf(zip_derived_cl101_002,plain,
    ~ ( iext @ uri_rdfs_subPropertyOf @ uri_ex_p1 @ uri_ex_p ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4330,plain,
    iext @ uri_ex_p1 @ ( sk__4 @ uri_ex_p @ uri_ex_p1 ) @ ( sk__5 @ uri_ex_p @ uri_ex_p1 ),
    inference(demod,[status(thm)],[zip_derived_cl4328,zip_derived_cl101]) ).

thf(zip_derived_cl98_003,plain,
    iext @ uri_owl_propertyChainAxiom @ uri_ex_p @ sk__16,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_chain_subprop]) ).

thf(zip_derived_cl99_004,plain,
    iext @ uri_rdf_first @ sk__16 @ uri_ex_p1,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_chain_subprop]) ).

thf(zip_derived_cl79,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( iext @ uri_rdf_rest @ X0 @ uri_rdf_nil )
      | ~ ( iext @ uri_rdf_first @ X0 @ X1 )
      | ~ ( iext @ X1 @ X2 @ X3 )
      | ( iext @ X4 @ X2 @ X3 )
      | ~ ( iext @ uri_owl_propertyChainAxiom @ X4 @ X0 ) ),
    inference(cnf,[status(esa)],[owl_chain_001]) ).

thf(zip_derived_cl574,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( iext @ uri_owl_propertyChainAxiom @ X0 @ sk__16 )
      | ( iext @ X0 @ X2 @ X1 )
      | ~ ( iext @ uri_ex_p1 @ X2 @ X1 )
      | ~ ( iext @ uri_rdf_rest @ sk__16 @ uri_rdf_nil ) ),
    inference('sup-',[status(thm)],[zip_derived_cl99,zip_derived_cl79]) ).

thf(zip_derived_cl100_005,plain,
    iext @ uri_rdf_rest @ sk__16 @ uri_rdf_nil,
    inference(cnf,[status(esa)],[premise_rdfbased_sem_chain_subprop]) ).

thf(zip_derived_cl576,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( iext @ uri_owl_propertyChainAxiom @ X0 @ sk__16 )
      | ( iext @ X0 @ X2 @ X1 )
      | ~ ( iext @ uri_ex_p1 @ X2 @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl574,zip_derived_cl100]) ).

thf(zip_derived_cl1267,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( iext @ uri_ex_p1 @ X1 @ X0 )
      | ( iext @ uri_ex_p @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl98,zip_derived_cl576]) ).

thf(rdfs_subpropertyof_main,axiom,
    ! [P: $i,Q: $i] :
      ( ( iext @ uri_rdfs_subPropertyOf @ P @ Q )
     => ( ( ip @ P )
        & ( ip @ Q )
        & ! [X: $i,Y: $i] :
            ( ( iext @ P @ X @ Y )
           => ( iext @ Q @ X @ Y ) ) ) ) ).

thf(zip_derived_cl35,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)],[rdfs_subpropertyof_main]) ).

thf(zip_derived_cl1269,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( iext @ uri_ex_p1 @ X1 @ X0 )
      | ~ ( iext @ uri_rdfs_subPropertyOf @ uri_ex_p @ X2 )
      | ( iext @ X2 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1267,zip_derived_cl35]) ).

thf(zip_derived_cl4337,plain,
    ! [X0: $i] :
      ( ( iext @ X0 @ ( sk__4 @ uri_ex_p @ uri_ex_p1 ) @ ( sk__5 @ uri_ex_p @ uri_ex_p1 ) )
      | ~ ( iext @ uri_rdfs_subPropertyOf @ uri_ex_p @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4330,zip_derived_cl1269]) ).

thf(zip_derived_cl4754,plain,
    ( ~ ( ip @ uri_ex_p )
    | ( iext @ uri_ex_p @ ( sk__4 @ uri_ex_p @ uri_ex_p1 ) @ ( sk__5 @ uri_ex_p @ uri_ex_p1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl4337]) ).

thf(zip_derived_cl152_006,plain,
    ip @ uri_ex_p,
    inference('sup-',[status(thm)],[zip_derived_cl98,zip_derived_cl53]) ).

thf(zip_derived_cl4764,plain,
    iext @ uri_ex_p @ ( sk__4 @ uri_ex_p @ uri_ex_p1 ) @ ( sk__5 @ uri_ex_p @ uri_ex_p1 ),
    inference(demod,[status(thm)],[zip_derived_cl4754,zip_derived_cl152]) ).

thf(zip_derived_cl73,plain,
    ! [X0: $i,X1: $i] :
      ( ( iext @ uri_rdfs_subPropertyOf @ X0 @ X1 )
      | ~ ( iext @ X1 @ ( sk__4 @ X1 @ X0 ) @ ( sk__5 @ X1 @ X0 ) )
      | ~ ( ip @ X1 )
      | ~ ( ip @ X0 ) ),
    inference(cnf,[status(esa)],[owl_rdfsext_subpropertyof]) ).

thf(simple_iext_property,axiom,
    ! [S: $i,P: $i,O: $i] :
      ( ( iext @ P @ S @ O )
     => ( ip @ P ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ip @ X0 )
      | ~ ( iext @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[simple_iext_property]) ).

thf(zip_derived_cl548,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ip @ X0 )
      | ~ ( iext @ X1 @ ( sk__4 @ X1 @ X0 ) @ ( sk__5 @ X1 @ X0 ) )
      | ( iext @ uri_rdfs_subPropertyOf @ X0 @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl73,zip_derived_cl0]) ).

thf(zip_derived_cl4805,plain,
    ( ( iext @ uri_rdfs_subPropertyOf @ uri_ex_p1 @ uri_ex_p )
    | ~ ( ip @ uri_ex_p1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4764,zip_derived_cl548]) ).

thf(zip_derived_cl733_007,plain,
    ip @ uri_ex_p1,
    inference('sup+',[status(thm)],[zip_derived_cl430,zip_derived_cl98]) ).

thf(zip_derived_cl4807,plain,
    iext @ uri_rdfs_subPropertyOf @ uri_ex_p1 @ uri_ex_p,
    inference(demod,[status(thm)],[zip_derived_cl4805,zip_derived_cl733]) ).

thf(zip_derived_cl4808,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl101,zip_derived_cl4807]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWB043+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.JIa2f83ioh true
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sun Aug 27 07:09:45 EDT 2023
% 0.19/0.35  % CPUTime  : 
% 0.19/0.35  % Running portfolio for 300 s
% 0.19/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.35  % Number of cores: 8
% 0.19/0.35  % Python version: Python 3.6.8
% 0.19/0.35  % Running in FO mode
% 0.21/0.62  % Total configuration time : 435
% 0.21/0.62  % Estimated wc time : 1092
% 0.21/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.65/0.87  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 2.62/1.21  % Solved by fo/fo3_bce.sh.
% 2.62/1.21  % BCE start: 102
% 2.62/1.21  % BCE eliminated: 9
% 2.62/1.21  % PE start: 93
% 2.62/1.21  logic: neq
% 2.62/1.21  % PE eliminated: -14
% 2.62/1.21  % done 883 iterations in 0.458s
% 2.62/1.21  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.62/1.21  % SZS output start Refutation
% See solution above
% 2.62/1.21  
% 2.62/1.21  
% 2.62/1.21  % Terminating...
% 3.05/1.40  % Runner terminated.
% 3.05/1.40  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------