TSTP Solution File: SWB087+1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWB087+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n025.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 : Mon Jun 24 16:12:33 EDT 2024

% Result   : Theorem 0.21s 0.44s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   31 (  10 unt;   0 def)
%            Number of atoms       :   72 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   72 (  31   ~;  25   |;   6   &)
%                                         (   8 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :   38 (  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f623,plain,
    $false,
    inference(avatar_sat_refutation,[],[f608,f620,f622]) ).

fof(f622,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f621]) ).

fof(f621,plain,
    ( $false
    | ~ spl0_1 ),
    inference(resolution,[],[f604,f586]) ).

fof(f586,plain,
    iext(uri_owl_hasSelf,uri_ex_z,literal_typed(dat_str_true,uri_xsd_boolean)),
    inference(cnf_transformation,[],[f561]) ).

fof(f561,axiom,
    ( iext(uri_ex_p,uri_ex_w,uri_ex_w)
    & iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
    & iext(uri_owl_hasSelf,uri_ex_z,literal_typed(dat_str_true,uri_xsd_boolean)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f604,plain,
    ( ! [X1] : ~ iext(uri_owl_hasSelf,uri_ex_z,X1)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f603]) ).

fof(f603,plain,
    ( spl0_1
  <=> ! [X1] : ~ iext(uri_owl_hasSelf,uri_ex_z,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f620,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f619]) ).

fof(f619,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f618,f585]) ).

fof(f585,plain,
    ~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    inference(cnf_transformation,[],[f562]) ).

fof(f562,plain,
    ~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    inference(flattening,[],[f560]) ).

fof(f560,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    inference(negated_conjecture,[],[f559]) ).

fof(f559,conjecture,
    iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f618,plain,
    ( iext(uri_rdf_type,uri_ex_w,uri_ex_z)
    | ~ spl0_2 ),
    inference(resolution,[],[f609,f590]) ).

fof(f590,plain,
    ! [X0,X1] :
      ( ~ icext(X1,X0)
      | iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f583]) ).

fof(f583,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) )
      & ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f563]) ).

fof(f563,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    inference(rectify,[],[f25]) ).

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

fof(f609,plain,
    ( icext(uri_ex_z,uri_ex_w)
    | ~ spl0_2 ),
    inference(resolution,[],[f607,f588]) ).

fof(f588,plain,
    iext(uri_ex_p,uri_ex_w,uri_ex_w),
    inference(cnf_transformation,[],[f561]) ).

fof(f607,plain,
    ( ! [X0] :
        ( ~ iext(uri_ex_p,X0,X0)
        | icext(uri_ex_z,X0) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f606]) ).

fof(f606,plain,
    ( spl0_2
  <=> ! [X0] :
        ( ~ iext(uri_ex_p,X0,X0)
        | icext(uri_ex_z,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f608,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f600,f606,f603]) ).

fof(f600,plain,
    ! [X0,X1] :
      ( ~ iext(uri_ex_p,X0,X0)
      | icext(uri_ex_z,X0)
      | ~ iext(uri_owl_hasSelf,uri_ex_z,X1) ),
    inference(resolution,[],[f592,f587]) ).

fof(f587,plain,
    iext(uri_owl_onProperty,uri_ex_z,uri_ex_p),
    inference(cnf_transformation,[],[f561]) ).

fof(f592,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(X1,X3,X3)
      | icext(X0,X3)
      | ~ iext(uri_owl_hasSelf,X0,X2) ),
    inference(cnf_transformation,[],[f584]) ).

fof(f584,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ( icext(X0,X3)
            | ~ iext(X1,X3,X3) )
          & ( iext(X1,X3,X3)
            | ~ icext(X0,X3) ) )
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_hasSelf,X0,X2) ),
    inference(nnf_transformation,[],[f577]) ).

fof(f577,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( icext(X0,X3)
        <=> iext(X1,X3,X3) )
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_hasSelf,X0,X2) ),
    inference(flattening,[],[f576]) ).

fof(f576,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( icext(X0,X3)
        <=> iext(X1,X3,X3) )
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_hasSelf,X0,X2) ),
    inference(ennf_transformation,[],[f564]) ).

fof(f564,plain,
    ! [X0,X1,X2] :
      ( ( iext(uri_owl_onProperty,X0,X1)
        & iext(uri_owl_hasSelf,X0,X2) )
     => ! [X3] :
          ( icext(X0,X3)
        <=> iext(X1,X3,X3) ) ),
    inference(rectify,[],[f314]) ).

fof(f314,axiom,
    ! [X10,X1,X30] :
      ( ( iext(uri_owl_onProperty,X10,X1)
        & iext(uri_owl_hasSelf,X10,X30) )
     => ! [X3] :
          ( icext(X10,X3)
        <=> iext(X1,X3,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWB087+1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.12  % Command    : run_vampire %s %d THM
% 0.13/0.33  % Computer : n025.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   : Tue Jun 18 18:46:09 EDT 2024
% 0.13/0.33  % CPUTime    : 
% 0.21/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.21/0.35  Running first-order theorem proving
% 0.21/0.35  Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.43  % (10693)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  % (10697)lrs+10_1:3_drc=off:sil=256000:sp=unary_first:lwlo=on:i=216875:kws=precedence:ins=3:rawr=on:nwc=10.0_0 on theBenchmark for (2999ds/216875Mi)
% 0.21/0.43  % (10693)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  % (10695)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.21/0.43  % (10693)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  % (10698)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.21/0.43  % (10693)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  % (10694)lrs+1011_1:12_anc=none:drc=off:sil=64000:sims=off:sp=unary_first:spb=goal_then_units:lsd=20:rnwc=on:nwc=2.0:i=53554:add=off:awrs=converge:bd=off:uhcvi=on:tgt=ground:afp=300:afq=1.63_0 on theBenchmark for (2999ds/53554Mi)
% 0.21/0.43  % (10693)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  % (10699)dis+1010_1:1_sil=2000:nwc=3.0:s2a=on:i=132:ins=5:fsr=off:ss=axioms:sd=2:fd=off_0 on theBenchmark for (2999ds/132Mi)
% 0.21/0.43  % (10693)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  % (10696)lrs+1010_2201:262144_anc=all:drc=encompass:sil=256000:sims=off:sp=frequency:spb=goal_then_units:rp=on:lwlo=on:st=3.0:i=179501:bs=unit_only:nm=6:ins=2:fsd=on:ss=axioms:sgt=16:afr=on:tgt=ground:awrs=decay:awrsf=200:acc=on:ccuc=first_0 on theBenchmark for (2999ds/179501Mi)
% 0.21/0.43  % (10693)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  % (10700)dis+1010_159245:1048576_to=lpo:sil=2000:etr=on:sp=unary_frequency:spb=goal:rnwc=on:nwc=10.9066:st=2:i=124:sd=1:nm=3:av=off:ss=axioms:rawr=on:drc=encompass:foolp=on:sgt=5:cond=fast:er=filter:erape=on:erml=2:s2a=on_0 on theBenchmark for (2999ds/124Mi)
% 0.21/0.43  % (10699)Refutation not found, incomplete strategy% (10699)------------------------------
% 0.21/0.43  % (10699)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.43  % (10699)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.43  % (10699)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.43  
% 0.21/0.43  % (10699)Memory used [KB]: 1373
% 0.21/0.43  % (10699)Time elapsed: 0.004 s
% 0.21/0.43  % (10698)First to succeed.
% 0.21/0.43  % (10699)Instructions burned: 5 (million)
% 0.21/0.44  % (10699)------------------------------
% 0.21/0.44  % (10699)------------------------------
% 0.21/0.44  % (10698)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10693"
% 0.21/0.44  % (10700)Refutation not found, incomplete strategy% (10700)------------------------------
% 0.21/0.44  % (10700)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.44  % (10700)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.44  % (10700)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.44  
% 0.21/0.44  % (10700)Memory used [KB]: 1459
% 0.21/0.44  % (10700)Time elapsed: 0.005 s
% 0.21/0.44  % (10700)Instructions burned: 7 (million)
% 0.21/0.44  % (10700)------------------------------
% 0.21/0.44  % (10700)------------------------------
% 0.21/0.44  % (10693)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44  % (10698)Refutation found. Thanks to Tanya!
% 0.21/0.44  % SZS status Theorem for theBenchmark
% 0.21/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.44  % (10698)------------------------------
% 0.21/0.44  % (10698)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.44  % (10698)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.44  % (10698)Termination reason: Refutation
% 0.21/0.44  
% 0.21/0.44  % (10698)Memory used [KB]: 1481
% 0.21/0.44  % (10698)Time elapsed: 0.005 s
% 0.21/0.44  % (10698)Instructions burned: 5 (million)
% 0.21/0.44  % (10698)------------------------------
% 0.21/0.44  % (10698)------------------------------
% 0.21/0.44  % (10693)Success in time 0.065 s
%------------------------------------------------------------------------------