TSTP Solution File: GEO069-3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO069-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% 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 : Wed May  1 02:21:35 EDT 2024

% Result   : Unsatisfiable 0.61s 0.82s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   25 (  11 unt;   0 def)
%            Number of atoms       :   41 (   3 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   29 (  13   ~;  14   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f338,plain,
    $false,
    inference(avatar_sat_refutation,[],[f118,f307,f337]) ).

fof(f337,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f336]) ).

fof(f336,plain,
    ( $false
    | spl0_2 ),
    inference(subsumption_resolution,[],[f329,f256]) ).

fof(f256,plain,
    colinear(v,w,x),
    inference(unit_resulting_resolution,[],[f142,f143,f104,f102]) ).

fof(f102,axiom,
    ! [X3,X10,X0,X5] :
      ( X3 = X10
      | colinear(X10,X5,X0)
      | ~ colinear(X10,X3,X0)
      | ~ colinear(X10,X3,X5) ),
    file('/export/starexec/sandbox/tmp/tmp.cU9nkDq5oj/Vampire---4.8_28939',t12_1) ).

fof(f104,axiom,
    u != v,
    file('/export/starexec/sandbox/tmp/tmp.cU9nkDq5oj/Vampire---4.8_28939',u_not_v) ).

fof(f143,plain,
    colinear(v,u,x),
    inference(unit_resulting_resolution,[],[f106,f92]) ).

fof(f92,axiom,
    ! [X3,X10,X5] :
      ( colinear(X3,X5,X10)
      | ~ colinear(X10,X3,X5) ),
    file('/export/starexec/sandbox/tmp/tmp.cU9nkDq5oj/Vampire---4.8_28939',t10_2) ).

fof(f106,axiom,
    colinear(x,v,u),
    file('/export/starexec/sandbox/tmp/tmp.cU9nkDq5oj/Vampire---4.8_28939',xvu_colinear) ).

fof(f142,plain,
    colinear(v,u,w),
    inference(unit_resulting_resolution,[],[f105,f92]) ).

fof(f105,axiom,
    colinear(w,v,u),
    file('/export/starexec/sandbox/tmp/tmp.cU9nkDq5oj/Vampire---4.8_28939',wvu_colinear) ).

fof(f329,plain,
    ( ~ colinear(v,w,x)
    | spl0_2 ),
    inference(resolution,[],[f117,f91]) ).

fof(f91,axiom,
    ! [X3,X10,X5] :
      ( colinear(X5,X3,X10)
      | ~ colinear(X10,X3,X5) ),
    file('/export/starexec/sandbox/tmp/tmp.cU9nkDq5oj/Vampire---4.8_28939',t10_1) ).

fof(f117,plain,
    ( ~ colinear(x,w,v)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f115,plain,
    ( spl0_2
  <=> colinear(x,w,v) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f307,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f306]) ).

fof(f306,plain,
    ( $false
    | spl0_1 ),
    inference(subsumption_resolution,[],[f249,f104]) ).

fof(f249,plain,
    ( u = v
    | spl0_1 ),
    inference(unit_resulting_resolution,[],[f127,f128,f132,f102]) ).

fof(f132,plain,
    ( ~ colinear(u,w,x)
    | spl0_1 ),
    inference(unit_resulting_resolution,[],[f113,f91]) ).

fof(f113,plain,
    ( ~ colinear(x,w,u)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f111]) ).

fof(f111,plain,
    ( spl0_1
  <=> colinear(x,w,u) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f128,plain,
    colinear(u,v,x),
    inference(unit_resulting_resolution,[],[f106,f91]) ).

fof(f127,plain,
    colinear(u,v,w),
    inference(unit_resulting_resolution,[],[f105,f91]) ).

fof(f118,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f107,f115,f111]) ).

fof(f107,axiom,
    ( ~ colinear(x,w,v)
    | ~ colinear(x,w,u) ),
    file('/export/starexec/sandbox/tmp/tmp.cU9nkDq5oj/Vampire---4.8_28939',prove_xwu_and_xwv_colinear) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : GEO069-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.33  % Computer : n018.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Tue Apr 30 19:11:58 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.33  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.11/0.33  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.cU9nkDq5oj/Vampire---4.8_28939
% 0.61/0.81  % (29053)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.81  % (29052)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.81  % (29054)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.61/0.81  % (29055)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.81  % (29051)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.61/0.81  % (29056)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.61/0.81  % (29057)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.61/0.82  % (29050)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.61/0.82  % (29053)First to succeed.
% 0.61/0.82  % (29053)Refutation found. Thanks to Tanya!
% 0.61/0.82  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.82  % (29053)------------------------------
% 0.61/0.82  % (29053)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (29053)Termination reason: Refutation
% 0.61/0.82  
% 0.61/0.82  % (29053)Memory used [KB]: 1150
% 0.61/0.82  % (29053)Time elapsed: 0.007 s
% 0.61/0.82  % (29053)Instructions burned: 10 (million)
% 0.61/0.82  % (29053)------------------------------
% 0.61/0.82  % (29053)------------------------------
% 0.61/0.82  % (29048)Success in time 0.486 s
% 0.61/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------