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

View Problem - Process Solution

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

% Computer : n009.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 16:13:28 EDT 2024

% Result   : Theorem 4.79s 1.10s
% Output   : Refutation 4.79s
% 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(f9661,plain,
    $false,
    inference(avatar_sat_refutation,[],[f3820,f3824,f9660]) ).

fof(f9660,plain,
    ~ spl251_33,
    inference(avatar_contradiction_clause,[],[f9656]) ).

fof(f9656,plain,
    ( $false
    | ~ spl251_33 ),
    inference(resolution,[],[f4725,f1919]) ).

fof(f1919,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/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f4725,plain,
    ( iext(uri_rdf_type,uri_ex_w,uri_ex_z)
    | ~ spl251_33 ),
    inference(resolution,[],[f4722,f2639]) ).

fof(f2639,plain,
    ! [X0,X1] :
      ( ~ icext(X1,X0)
      | iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f1615]) ).

fof(f1615,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) )
      & ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f836]) ).

fof(f836,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/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f4722,plain,
    ( icext(uri_ex_z,uri_ex_w)
    | ~ spl251_33 ),
    inference(resolution,[],[f3823,f2113]) ).

fof(f2113,plain,
    iext(uri_ex_p,uri_ex_w,uri_ex_w),
    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/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f3823,plain,
    ( ! [X0] :
        ( ~ iext(uri_ex_p,X0,X0)
        | icext(uri_ex_z,X0) )
    | ~ spl251_33 ),
    inference(avatar_component_clause,[],[f3822]) ).

fof(f3822,plain,
    ( spl251_33
  <=> ! [X0] :
        ( ~ iext(uri_ex_p,X0,X0)
        | icext(uri_ex_z,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl251_33])]) ).

fof(f3824,plain,
    ( spl251_20
    | spl251_33 ),
    inference(avatar_split_clause,[],[f3566,f3822,f3560]) ).

fof(f3560,plain,
    ( spl251_20
  <=> ! [X1] : ~ iext(uri_owl_hasSelf,uri_ex_z,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl251_20])]) ).

fof(f3566,plain,
    ! [X0,X1] :
      ( ~ iext(uri_ex_p,X0,X0)
      | icext(uri_ex_z,X0)
      | ~ iext(uri_owl_hasSelf,uri_ex_z,X1) ),
    inference(resolution,[],[f2656,f2112]) ).

fof(f2112,plain,
    iext(uri_owl_onProperty,uri_ex_z,uri_ex_p),
    inference(cnf_transformation,[],[f561]) ).

fof(f2656,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,[],[f1629]) ).

fof(f1629,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,[],[f1182]) ).

fof(f1182,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,[],[f1181]) ).

fof(f1181,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,[],[f842]) ).

fof(f842,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/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f3820,plain,
    ~ spl251_20,
    inference(avatar_contradiction_clause,[],[f3819]) ).

fof(f3819,plain,
    ( $false
    | ~ spl251_20 ),
    inference(resolution,[],[f3561,f2111]) ).

fof(f2111,plain,
    iext(uri_owl_hasSelf,uri_ex_z,literal_typed(dat_str_true,uri_xsd_boolean)),
    inference(cnf_transformation,[],[f561]) ).

fof(f3561,plain,
    ( ! [X1] : ~ iext(uri_owl_hasSelf,uri_ex_z,X1)
    | ~ spl251_20 ),
    inference(avatar_component_clause,[],[f3560]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : SWB087+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.14  % Command    : run_vampire %s %d SAT
% 0.14/0.38  % Computer : n009.cluster.edu
% 0.14/0.38  % Model    : x86_64 x86_64
% 0.14/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38  % Memory   : 8042.1875MB
% 0.14/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.38  % CPULimit   : 300
% 0.14/0.38  % WCLimit    : 300
% 0.14/0.38  % DateTime   : Tue Jun 18 18:46:09 EDT 2024
% 0.14/0.38  % CPUTime    : 
% 0.25/0.39  This is a FOF_THM_RFO_SEQ problem
% 0.25/0.39  Running first-order model finding
% 0.25/0.39  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.26/0.47  % (19758)Running in auto input_syntax mode. Trying TPTP
% 0.26/0.47  % (19762)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (2999ds/152523Mi)
% 0.26/0.47  % (19758)Running in auto input_syntax mode. Trying TPTP
% 0.26/0.47  % (19761)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.26/0.47  % (19758)Running in auto input_syntax mode. Trying TPTP
% 0.26/0.47  % (19763)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.26/0.47  % (19758)Running in auto input_syntax mode. Trying TPTP
% 0.26/0.47  % (19759)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.26/0.47  % (19758)Running in auto input_syntax mode. Trying TPTP
% 0.26/0.47  % (19764)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (2999ds/146Mi)
% 0.26/0.47  % (19758)Running in auto input_syntax mode. Trying TPTP
% 0.26/0.47  % (19760)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (2999ds/99418Mi)
% 0.26/0.47  % (19758)Running in auto input_syntax mode. Trying TPTP
% 0.26/0.47  % (19765)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (2999ds/115Mi)
% 0.26/0.52  % (19763)Instruction limit reached!
% 0.26/0.52  % (19763)------------------------------
% 0.26/0.52  % (19763)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.26/0.52  % (19763)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.26/0.52  % (19763)Termination reason: Time limit
% 0.26/0.52  % (19763)Termination phase: Saturation
% 0.26/0.52  
% 0.26/0.52  % (19763)Memory used [KB]: 2510
% 0.26/0.52  % (19763)Time elapsed: 0.051 s
% 0.26/0.52  % (19763)Instructions burned: 104 (million)
% 0.96/0.53  % (19765)Instruction limit reached!
% 0.96/0.53  % (19765)------------------------------
% 0.96/0.53  % (19765)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.96/0.53  % (19765)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.96/0.53  % (19765)Termination reason: Time limit
% 0.96/0.53  % (19765)Termination phase: Saturation
% 0.96/0.53  
% 0.96/0.53  % (19765)Memory used [KB]: 2974
% 0.96/0.53  % (19765)Time elapsed: 0.059 s
% 0.96/0.53  % (19765)Instructions burned: 116 (million)
% 0.96/0.54  % (19764)Instruction limit reached!
% 0.96/0.54  % (19764)------------------------------
% 0.96/0.54  % (19764)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.96/0.54  % (19764)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.96/0.54  % (19764)Termination reason: Time limit
% 0.96/0.54  % (19764)Termination phase: Saturation
% 0.96/0.54  
% 0.96/0.54  % (19764)Memory used [KB]: 2779
% 0.96/0.54  % (19764)Time elapsed: 0.057 s
% 0.96/0.54  % (19764)Instructions burned: 150 (million)
% 1.07/0.58  % (19758)Running in auto input_syntax mode. Trying TPTP
% 1.07/0.58  % (19766)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2999ds/404Mi)
% 1.07/0.58  % (19758)Running in auto input_syntax mode. Trying TPTP
% 1.07/0.58  % (19768)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 1.07/0.59  % (19758)Running in auto input_syntax mode. Trying TPTP
% 1.07/0.59  % (19767)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 1.07/0.59  TRYING [1]
% 1.07/0.61  TRYING [2]
% 1.45/0.67  % (19767)Instruction limit reached!
% 1.45/0.67  % (19767)------------------------------
% 1.45/0.67  % (19767)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.45/0.67  % (19767)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.45/0.67  % (19767)Termination reason: Time limit
% 1.45/0.67  % (19767)Termination phase: Saturation
% 1.45/0.67  
% 1.45/0.67  % (19767)Memory used [KB]: 5032
% 1.45/0.67  % (19767)Time elapsed: 0.101 s
% 1.45/0.67  % (19767)Instructions burned: 176 (million)
% 1.81/0.71  % (19768)Instruction limit reached!
% 1.81/0.71  % (19768)------------------------------
% 1.81/0.71  % (19768)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.81/0.71  % (19768)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.81/0.71  % (19768)Termination reason: Time limit
% 1.81/0.71  % (19768)Termination phase: Saturation
% 1.81/0.71  
% 1.81/0.71  % (19768)Memory used [KB]: 6035
% 1.81/0.71  % (19768)Time elapsed: 0.131 s
% 1.81/0.71  % (19768)Instructions burned: 270 (million)
% 1.81/0.72  % (19758)Running in auto input_syntax mode. Trying TPTP
% 1.81/0.72  % (19769)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2997ds/900Mi)
% 2.25/0.77  % (19758)Running in auto input_syntax mode. Trying TPTP
% 2.25/0.77  % (19770)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2997ds/7859Mi)
% 2.25/0.78  % (19766)Instruction limit reached!
% 2.25/0.78  % (19766)------------------------------
% 2.25/0.78  % (19766)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.25/0.78  % (19766)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.25/0.78  % (19766)Termination reason: Time limit
% 2.25/0.78  % (19766)Termination phase: Saturation
% 2.25/0.78  
% 2.25/0.78  % (19766)Memory used [KB]: 8176
% 2.25/0.78  % (19766)Time elapsed: 0.201 s
% 2.25/0.78  % (19766)Instructions burned: 405 (million)
% 2.25/0.79  TRYING [3]
% 2.68/0.83  TRYING [1]
% 2.68/0.84  % (19758)Running in auto input_syntax mode. Trying TPTP
% 2.68/0.84  % (19771)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2996ds/2145Mi)
% 2.68/0.84  TRYING [2]
% 3.20/0.94  TRYING [3]
% 4.79/1.09  % (19771)First to succeed.
% 4.79/1.09  % (19771)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19758"
% 4.79/1.10  % (19758)Running in auto input_syntax mode. Trying TPTP
% 4.79/1.10  % (19771)Refutation found. Thanks to Tanya!
% 4.79/1.10  % SZS status Theorem for theBenchmark
% 4.79/1.10  % SZS output start Proof for theBenchmark
% See solution above
% 4.79/1.10  % (19771)------------------------------
% 4.79/1.10  % (19771)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.79/1.10  % (19771)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.79/1.10  % (19771)Termination reason: Refutation
% 4.79/1.10  
% 4.79/1.10  % (19771)Memory used [KB]: 13747
% 4.79/1.10  % (19771)Time elapsed: 0.279 s
% 4.79/1.10  % (19771)Instructions burned: 498 (million)
% 4.79/1.10  % (19771)------------------------------
% 4.79/1.10  % (19771)------------------------------
% 4.79/1.10  % (19758)Success in time 0.67 s
%------------------------------------------------------------------------------