TSTP Solution File: SWB008+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWB008+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n014.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 : Wed Aug 31 18:36:13 EDT 2022

% Result   : Theorem 1.31s 0.54s
% Output   : Refutation 1.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   33 (  12 unt;   0 def)
%            Number of atoms       :  114 (  23 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  124 (  43   ~;  37   |;  33   &)
%                                         (   8 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-1 aty)
%            Number of variables   :   70 (  58   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f740,plain,
    $false,
    inference(subsumption_resolution,[],[f739,f669]) ).

fof(f669,plain,
    ! [X1] : iext(uri_owl_sameAs,X1,X1),
    inference(equality_resolution,[],[f662]) ).

fof(f662,plain,
    ! [X0,X1] :
      ( iext(uri_owl_sameAs,X1,X0)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f615]) ).

fof(f615,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ iext(uri_owl_sameAs,X1,X0) )
      & ( iext(uri_owl_sameAs,X1,X0)
        | X0 != X1 ) ),
    inference(rectify,[],[f614]) ).

fof(f614,plain,
    ! [X1,X0] :
      ( ( X0 = X1
        | ~ iext(uri_owl_sameAs,X0,X1) )
      & ( iext(uri_owl_sameAs,X0,X1)
        | X0 != X1 ) ),
    inference(nnf_transformation,[],[f564]) ).

fof(f564,plain,
    ! [X1,X0] :
      ( X0 = X1
    <=> iext(uri_owl_sameAs,X0,X1) ),
    inference(rectify,[],[f354]) ).

fof(f354,axiom,
    ! [X3,X6] :
      ( X3 = X6
    <=> iext(uri_owl_sameAs,X3,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas) ).

fof(f739,plain,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_bob),
    inference(backward_demodulation,[],[f639,f735]) ).

fof(f735,plain,
    uri_ex_bob = uri_ex_robert,
    inference(unit_resulting_resolution,[],[f647,f646,f719,f653]) ).

fof(f653,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(X0,X2,X3)
      | ~ icext(uri_owl_InverseFunctionalProperty,X0)
      | X1 = X2
      | ~ iext(X0,X1,X3) ),
    inference(cnf_transformation,[],[f610]) ).

fof(f610,plain,
    ! [X0] :
      ( ( ( ip(X0)
          & ! [X1,X2,X3] :
              ( ~ iext(X0,X2,X3)
              | X1 = X2
              | ~ iext(X0,X1,X3) ) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) )
      & ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ~ ip(X0)
        | ( iext(X0,sK1(X0),sK2(X0))
          & sK1(X0) != sK0(X0)
          & iext(X0,sK0(X0),sK2(X0)) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f608,f609]) ).

fof(f609,plain,
    ! [X0] :
      ( ? [X4,X5,X6] :
          ( iext(X0,X5,X6)
          & X4 != X5
          & iext(X0,X4,X6) )
     => ( iext(X0,sK1(X0),sK2(X0))
        & sK1(X0) != sK0(X0)
        & iext(X0,sK0(X0),sK2(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f608,plain,
    ! [X0] :
      ( ( ( ip(X0)
          & ! [X1,X2,X3] :
              ( ~ iext(X0,X2,X3)
              | X1 = X2
              | ~ iext(X0,X1,X3) ) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) )
      & ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ~ ip(X0)
        | ? [X4,X5,X6] :
            ( iext(X0,X5,X6)
            & X4 != X5
            & iext(X0,X4,X6) ) ) ),
    inference(rectify,[],[f607]) ).

fof(f607,plain,
    ! [X0] :
      ( ( ( ip(X0)
          & ! [X1,X3,X2] :
              ( ~ iext(X0,X3,X2)
              | X1 = X3
              | ~ iext(X0,X1,X2) ) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) )
      & ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ~ ip(X0)
        | ? [X1,X3,X2] :
            ( iext(X0,X3,X2)
            & X1 != X3
            & iext(X0,X1,X2) ) ) ),
    inference(flattening,[],[f606]) ).

fof(f606,plain,
    ! [X0] :
      ( ( ( ip(X0)
          & ! [X1,X3,X2] :
              ( ~ iext(X0,X3,X2)
              | X1 = X3
              | ~ iext(X0,X1,X2) ) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) )
      & ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ~ ip(X0)
        | ? [X1,X3,X2] :
            ( iext(X0,X3,X2)
            & X1 != X3
            & iext(X0,X1,X2) ) ) ),
    inference(nnf_transformation,[],[f592]) ).

fof(f592,plain,
    ! [X0] :
      ( ( ip(X0)
        & ! [X1,X3,X2] :
            ( ~ iext(X0,X3,X2)
            | X1 = X3
            | ~ iext(X0,X1,X2) ) )
    <=> icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(flattening,[],[f591]) ).

fof(f591,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ip(X0)
        & ! [X1,X2,X3] :
            ( X1 = X3
            | ~ iext(X0,X3,X2)
            | ~ iext(X0,X1,X2) ) ) ),
    inference(ennf_transformation,[],[f568]) ).

fof(f568,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ip(X0)
        & ! [X1,X2,X3] :
            ( ( iext(X0,X3,X2)
              & iext(X0,X1,X2) )
           => X1 = X3 ) ) ),
    inference(rectify,[],[f394]) ).

fof(f394,axiom,
    ! [X1] :
      ( ( ip(X1)
        & ! [X36,X6,X37] :
            ( ( iext(X1,X36,X6)
              & iext(X1,X37,X6) )
           => X36 = X37 ) )
    <=> icext(uri_owl_InverseFunctionalProperty,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_inversefunctional) ).

fof(f719,plain,
    icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum),
    inference(unit_resulting_resolution,[],[f648,f657]) ).

fof(f657,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_type,X0,X1)
      | icext(X1,X0) ),
    inference(cnf_transformation,[],[f612]) ).

fof(f612,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) )
      & ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) ) ),
    inference(rectify,[],[f611]) ).

fof(f611,plain,
    ! [X1,X0] :
      ( ( iext(uri_rdf_type,X1,X0)
        | ~ icext(X0,X1) )
      & ( icext(X0,X1)
        | ~ iext(uri_rdf_type,X1,X0) ) ),
    inference(nnf_transformation,[],[f569]) ).

fof(f569,plain,
    ! [X1,X0] :
      ( iext(uri_rdf_type,X1,X0)
    <=> icext(X0,X1) ),
    inference(rectify,[],[f25]) ).

fof(f25,axiom,
    ! [X4,X3] :
      ( icext(X4,X3)
    <=> iext(uri_rdf_type,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f648,plain,
    iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty),
    inference(cnf_transformation,[],[f561]) ).

fof(f561,axiom,
    ( iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty)
    & iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz))
    & iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz))
    & iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_DatatypeProperty) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_008_Inverse_Functional_Data_Properties) ).

fof(f646,plain,
    iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)),
    inference(cnf_transformation,[],[f561]) ).

fof(f647,plain,
    iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)),
    inference(cnf_transformation,[],[f561]) ).

fof(f639,plain,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(cnf_transformation,[],[f562]) ).

fof(f562,plain,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(flattening,[],[f560]) ).

fof(f560,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(negated_conjecture,[],[f559]) ).

fof(f559,conjecture,
    iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWB008+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n014.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   : Tue Aug 30 17:27:03 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.51  % (24664)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.52  % (24684)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52  % (24675)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.53  % (24683)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.53  % (24676)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (24664)Refutation not found, incomplete strategy% (24664)------------------------------
% 0.20/0.53  % (24664)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (24664)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (24664)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (24664)Memory used [KB]: 6396
% 0.20/0.53  % (24664)Time elapsed: 0.114 s
% 0.20/0.53  % (24664)Instructions burned: 4 (million)
% 0.20/0.53  % (24664)------------------------------
% 0.20/0.53  % (24664)------------------------------
% 0.20/0.53  % (24677)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53  % (24671)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.53  % (24676)First to succeed.
% 0.20/0.53  % (24691)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.53  % (24677)Instruction limit reached!
% 0.20/0.53  % (24677)------------------------------
% 0.20/0.53  % (24677)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (24677)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (24677)Termination reason: Unknown
% 0.20/0.53  % (24677)Termination phase: Preprocessing 1
% 0.20/0.53  
% 0.20/0.53  % (24677)Memory used [KB]: 2174
% 0.20/0.53  % (24677)Time elapsed: 0.003 s
% 0.20/0.53  % (24677)Instructions burned: 5 (million)
% 0.20/0.53  % (24677)------------------------------
% 0.20/0.53  % (24677)------------------------------
% 0.20/0.54  % (24685)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.31/0.54  % (24668)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.31/0.54  % (24671)Refutation not found, incomplete strategy% (24671)------------------------------
% 1.31/0.54  % (24671)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.54  % (24671)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.54  % (24671)Termination reason: Refutation not found, incomplete strategy
% 1.31/0.54  
% 1.31/0.54  % (24671)Memory used [KB]: 6396
% 1.31/0.54  % (24671)Time elapsed: 0.129 s
% 1.31/0.54  % (24671)Instructions burned: 4 (million)
% 1.31/0.54  % (24671)------------------------------
% 1.31/0.54  % (24671)------------------------------
% 1.31/0.54  % (24676)Refutation found. Thanks to Tanya!
% 1.31/0.54  % SZS status Theorem for theBenchmark
% 1.31/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.31/0.54  % (24676)------------------------------
% 1.31/0.54  % (24676)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.54  % (24676)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.54  % (24676)Termination reason: Refutation
% 1.31/0.54  
% 1.31/0.54  % (24676)Memory used [KB]: 6524
% 1.31/0.54  % (24676)Time elapsed: 0.116 s
% 1.31/0.54  % (24676)Instructions burned: 9 (million)
% 1.31/0.54  % (24676)------------------------------
% 1.31/0.54  % (24676)------------------------------
% 1.31/0.54  % (24662)Success in time 0.192 s
%------------------------------------------------------------------------------