TSTP Solution File: SWB001+2 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SWB001+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n023.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  : 600s
% DateTime : Tue Jul 19 19:12:59 EDT 2022

% Result   : Theorem 0.13s 0.39s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   60 (  48 unt;  10 typ;   0 def)
%            Number of atoms       :  189 (  47 equ;   0 cnn)
%            Maximal formula atoms :    4 (   3 avg)
%            Number of connectives :  421 ( 100   ~;  30   |;  15   &; 276   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  10 usr;  11 con; 0-3 aty)
%            Number of variables   :    0 (   0   ^   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_iext,type,
    iext: $i > $i > $i > $o ).

thf(tp_uri_ex_c,type,
    uri_ex_c: $i ).

thf(tp_uri_ex_d,type,
    uri_ex_d: $i ).

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

thf(tp_uri_ex_r,type,
    uri_ex_r: $i ).

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

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

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

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

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

thf(1,axiom,
    ( ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_r )
    & ( iext @ uri_rdf_type @ uri_ex_r @ uri_owl_Restriction )
    & ( iext @ uri_owl_onProperty @ uri_ex_r @ uri_ex_p )
    & ( iext @ uri_owl_someValuesFrom @ uri_ex_r @ uri_ex_d ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_001_Subgraph_Entailment) ).

thf(2,conjecture,
    ( ( iext @ uri_rdf_type @ uri_ex_r @ uri_owl_Restriction )
    & ( iext @ uri_owl_onProperty @ uri_ex_r @ uri_ex_p ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_001_Subgraph_Entailment) ).

thf(3,negated_conjecture,
    ( ( ( iext @ uri_rdf_type @ uri_ex_r @ uri_owl_Restriction )
      & ( iext @ uri_owl_onProperty @ uri_ex_r @ uri_ex_p ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[2]) ).

thf(4,plain,
    ( ( ( iext @ uri_rdf_type @ uri_ex_r @ uri_owl_Restriction )
      & ( iext @ uri_owl_onProperty @ uri_ex_r @ uri_ex_p ) )
    = $false ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(5,plain,
    ( ( ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_r )
      & ( iext @ uri_rdf_type @ uri_ex_r @ uri_owl_Restriction )
      & ( iext @ uri_owl_onProperty @ uri_ex_r @ uri_ex_p )
      & ( iext @ uri_owl_someValuesFrom @ uri_ex_r @ uri_ex_d ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(6,plain,
    ( ( iext @ uri_rdf_type @ uri_ex_r @ uri_owl_Restriction )
    = $false ),
    inference(split_conjecture,[split_conjecture(split,[])],[4]) ).

thf(7,plain,
    ( ( iext @ uri_owl_onProperty @ uri_ex_r @ uri_ex_p )
    = $false ),
    inference(split_conjecture,[split_conjecture(split,[])],[4]) ).

thf(8,plain,
    ( ( ~ ( iext @ uri_rdf_type @ uri_ex_r @ uri_owl_Restriction ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[6]) ).

thf(9,plain,
    ( ( ~ ( iext @ uri_owl_onProperty @ uri_ex_r @ uri_ex_p ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[7]) ).

thf(10,plain,
    ( ( ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_r )
      & ( iext @ uri_rdf_type @ uri_ex_r @ uri_owl_Restriction )
      & ( iext @ uri_owl_onProperty @ uri_ex_r @ uri_ex_p )
      & ( iext @ uri_owl_someValuesFrom @ uri_ex_r @ uri_ex_d ) )
    = $true ),
    inference(copy,[status(thm)],[5]) ).

thf(11,plain,
    ( ( ~ ( iext @ uri_rdf_type @ uri_ex_r @ uri_owl_Restriction ) )
    = $true ),
    inference(copy,[status(thm)],[8]) ).

thf(12,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_r )
                      | ~ ( iext @ uri_rdf_type @ uri_ex_r @ uri_owl_Restriction ) )
                | ~ ( iext @ uri_owl_onProperty @ uri_ex_r @ uri_ex_p ) )
          | ~ ( iext @ uri_owl_someValuesFrom @ uri_ex_r @ uri_ex_d ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(13,plain,
    ( ( iext @ uri_rdf_type @ uri_ex_r @ uri_owl_Restriction )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[11]) ).

thf(14,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_r )
                  | ~ ( iext @ uri_rdf_type @ uri_ex_r @ uri_owl_Restriction ) )
            | ~ ( iext @ uri_owl_onProperty @ uri_ex_r @ uri_ex_p ) )
      | ~ ( iext @ uri_owl_someValuesFrom @ uri_ex_r @ uri_ex_d ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[12]) ).

thf(15,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_r )
                  | ~ ( iext @ uri_rdf_type @ uri_ex_r @ uri_owl_Restriction ) )
            | ~ ( iext @ uri_owl_onProperty @ uri_ex_r @ uri_ex_p ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[14]) ).

thf(16,plain,
    ( ( ~ ( iext @ uri_owl_someValuesFrom @ uri_ex_r @ uri_ex_d ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[14]) ).

thf(17,plain,
    ( ( ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_r )
                | ~ ( iext @ uri_rdf_type @ uri_ex_r @ uri_owl_Restriction ) )
          | ~ ( iext @ uri_owl_onProperty @ uri_ex_r @ uri_ex_p ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[15]) ).

thf(18,plain,
    ( ( iext @ uri_owl_someValuesFrom @ uri_ex_r @ uri_ex_d )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[16]) ).

thf(19,plain,
    ( ( ~ ~ ( ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_r )
            | ~ ( iext @ uri_rdf_type @ uri_ex_r @ uri_owl_Restriction ) )
      | ~ ( iext @ uri_owl_onProperty @ uri_ex_r @ uri_ex_p ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[17]) ).

thf(20,plain,
    ( ( ~ ~ ( ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_r )
            | ~ ( iext @ uri_rdf_type @ uri_ex_r @ uri_owl_Restriction ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[19]) ).

thf(21,plain,
    ( ( ~ ( iext @ uri_owl_onProperty @ uri_ex_r @ uri_ex_p ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[19]) ).

thf(22,plain,
    ( ( ~ ( ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_r )
          | ~ ( iext @ uri_rdf_type @ uri_ex_r @ uri_owl_Restriction ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[20]) ).

thf(23,plain,
    ( ( iext @ uri_owl_onProperty @ uri_ex_r @ uri_ex_p )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[21]) ).

thf(24,plain,
    ( ( ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_r )
      | ~ ( iext @ uri_rdf_type @ uri_ex_r @ uri_owl_Restriction ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[22]) ).

thf(25,plain,
    ( ( ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_r ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[24]) ).

thf(26,plain,
    ( ( ~ ( iext @ uri_rdf_type @ uri_ex_r @ uri_owl_Restriction ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[24]) ).

thf(27,plain,
    ( ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_r )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[25]) ).

thf(28,plain,
    ( ( iext @ uri_rdf_type @ uri_ex_r @ uri_owl_Restriction )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[26]) ).

thf(29,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[13,28,27,23,18]) ).

thf(30,plain,
    ( ( ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_r )
      & ( iext @ uri_rdf_type @ uri_ex_r @ uri_owl_Restriction )
      & ( iext @ uri_owl_onProperty @ uri_ex_r @ uri_ex_p )
      & ( iext @ uri_owl_someValuesFrom @ uri_ex_r @ uri_ex_d ) )
    = $true ),
    inference(copy,[status(thm)],[5]) ).

thf(31,plain,
    ( ( ~ ( iext @ uri_owl_onProperty @ uri_ex_r @ uri_ex_p ) )
    = $true ),
    inference(copy,[status(thm)],[9]) ).

thf(32,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_r )
                      | ~ ( iext @ uri_rdf_type @ uri_ex_r @ uri_owl_Restriction ) )
                | ~ ( iext @ uri_owl_onProperty @ uri_ex_r @ uri_ex_p ) )
          | ~ ( iext @ uri_owl_someValuesFrom @ uri_ex_r @ uri_ex_d ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[30]) ).

thf(33,plain,
    ( ( iext @ uri_owl_onProperty @ uri_ex_r @ uri_ex_p )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[31]) ).

thf(34,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_r )
                  | ~ ( iext @ uri_rdf_type @ uri_ex_r @ uri_owl_Restriction ) )
            | ~ ( iext @ uri_owl_onProperty @ uri_ex_r @ uri_ex_p ) )
      | ~ ( iext @ uri_owl_someValuesFrom @ uri_ex_r @ uri_ex_d ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[32]) ).

thf(35,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_r )
                  | ~ ( iext @ uri_rdf_type @ uri_ex_r @ uri_owl_Restriction ) )
            | ~ ( iext @ uri_owl_onProperty @ uri_ex_r @ uri_ex_p ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[34]) ).

thf(36,plain,
    ( ( ~ ( iext @ uri_owl_someValuesFrom @ uri_ex_r @ uri_ex_d ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[34]) ).

thf(37,plain,
    ( ( ~ ( ~ ~ ( ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_r )
                | ~ ( iext @ uri_rdf_type @ uri_ex_r @ uri_owl_Restriction ) )
          | ~ ( iext @ uri_owl_onProperty @ uri_ex_r @ uri_ex_p ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[35]) ).

thf(38,plain,
    ( ( iext @ uri_owl_someValuesFrom @ uri_ex_r @ uri_ex_d )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[36]) ).

thf(39,plain,
    ( ( ~ ~ ( ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_r )
            | ~ ( iext @ uri_rdf_type @ uri_ex_r @ uri_owl_Restriction ) )
      | ~ ( iext @ uri_owl_onProperty @ uri_ex_r @ uri_ex_p ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[37]) ).

thf(40,plain,
    ( ( ~ ~ ( ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_r )
            | ~ ( iext @ uri_rdf_type @ uri_ex_r @ uri_owl_Restriction ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[39]) ).

thf(41,plain,
    ( ( ~ ( iext @ uri_owl_onProperty @ uri_ex_r @ uri_ex_p ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[39]) ).

thf(42,plain,
    ( ( ~ ( ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_r )
          | ~ ( iext @ uri_rdf_type @ uri_ex_r @ uri_owl_Restriction ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[40]) ).

thf(43,plain,
    ( ( iext @ uri_owl_onProperty @ uri_ex_r @ uri_ex_p )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[41]) ).

thf(44,plain,
    ( ( ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_r )
      | ~ ( iext @ uri_rdf_type @ uri_ex_r @ uri_owl_Restriction ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[42]) ).

thf(45,plain,
    ( ( ~ ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_r ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[44]) ).

thf(46,plain,
    ( ( ~ ( iext @ uri_rdf_type @ uri_ex_r @ uri_owl_Restriction ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[44]) ).

thf(47,plain,
    ( ( iext @ uri_rdfs_subClassOf @ uri_ex_c @ uri_ex_r )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[45]) ).

thf(48,plain,
    ( ( iext @ uri_rdf_type @ uri_ex_r @ uri_owl_Restriction )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[46]) ).

thf(49,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[33,48,47,43,38]) ).

thf(50,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[49,29]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWB001+2 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34  % Computer : n023.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  : 600
% 0.13/0.34  % DateTime : Wed Jun  1 07:39:26 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  
% 0.13/0.35   No.of.Axioms: 1
% 0.13/0.35  
% 0.13/0.35   Length.of.Defs: 0
% 0.13/0.35  
% 0.13/0.35   Contains.Choice.Funs: false
% 0.13/0.35  (rf:0,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:3,loop_count:0,foatp_calls:0,translation:fof_full)
% 0.13/0.39  ********************************
% 0.13/0.39  *   All subproblems solved!    *
% 0.13/0.39  ********************************
% 0.13/0.39  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:49,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.13/0.40  
% 0.13/0.40  %**** Beginning of derivation protocol ****
% 0.13/0.40  % SZS output start CNFRefutation
% See solution above
% 0.13/0.40  
% 0.13/0.40  %**** End of derivation protocol ****
% 0.13/0.40  %**** no. of clauses in derivation: 50 ****
% 0.13/0.40  %**** clause counter: 49 ****
% 0.13/0.40  
% 0.13/0.40  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:49,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------