TSTP Solution File: GEO037-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO037-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n010.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 02:21:21 EDT 2024

% Result   : Unsatisfiable 0.62s 0.81s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   32 (  13 unt;   0 def)
%            Number of atoms       :   54 (   6 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   42 (  20   ~;  19   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-4 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-4 aty)
%            Number of variables   :   46 (  46   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f709,plain,
    $false,
    inference(avatar_sat_refutation,[],[f32,f631,f634,f708]) ).

fof(f708,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f707]) ).

fof(f707,plain,
    ( $false
    | ~ spl0_1 ),
    inference(resolution,[],[f703,f36]) ).

fof(f36,plain,
    ! [X0,X1] : between(X0,X1,X1),
    inference(superposition,[],[f4,f34]) ).

fof(f34,plain,
    ! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
    inference(resolution,[],[f5,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( ~ equidistant(X0,X1,X2,X2)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.YZ2M3sfxUm/Vampire---4.8_26520',identity_for_equidistance) ).

fof(f5,axiom,
    ! [X3,X0,X1,X5] : equidistant(X1,extension(X0,X1,X5,X3),X5,X3),
    file('/export/starexec/sandbox2/tmp/tmp.YZ2M3sfxUm/Vampire---4.8_26520',segment_construction2) ).

fof(f4,axiom,
    ! [X3,X0,X1,X5] : between(X0,X1,extension(X0,X1,X5,X3)),
    file('/export/starexec/sandbox2/tmp/tmp.YZ2M3sfxUm/Vampire---4.8_26520',segment_construction1) ).

fof(f703,plain,
    ( ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_1)
    | ~ spl0_1 ),
    inference(superposition,[],[f12,f695]) ).

fof(f695,plain,
    ( lower_dimension_point_1 = lower_dimension_point_2
    | ~ spl0_1 ),
    inference(resolution,[],[f638,f3]) ).

fof(f638,plain,
    ( equidistant(lower_dimension_point_1,lower_dimension_point_2,v,v)
    | ~ spl0_1 ),
    inference(superposition,[],[f43,f23]) ).

fof(f23,plain,
    ( v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f21]) ).

fof(f21,plain,
    ( spl0_1
  <=> v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f43,plain,
    ! [X2,X3,X0,X1] : equidistant(X0,X1,extension(X2,X3,X0,X1),X3),
    inference(resolution,[],[f39,f5]) ).

fof(f39,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X3,X2,X0,X1)
      | equidistant(X0,X1,X2,X3) ),
    inference(resolution,[],[f2,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : equidistant(X0,X1,X1,X0),
    file('/export/starexec/sandbox2/tmp/tmp.YZ2M3sfxUm/Vampire---4.8_26520',reflexivity_for_equidistance) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,X1,X4,X5)
      | equidistant(X2,X3,X4,X5)
      | ~ equidistant(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.YZ2M3sfxUm/Vampire---4.8_26520',transitivity_for_equidistance) ).

fof(f12,axiom,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
    file('/export/starexec/sandbox2/tmp/tmp.YZ2M3sfxUm/Vampire---4.8_26520',lower_dimension3) ).

fof(f634,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f632]) ).

fof(f632,plain,
    ( $false
    | spl0_3 ),
    inference(resolution,[],[f31,f4]) ).

fof(f31,plain,
    ( ~ between(u,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2))
    | spl0_3 ),
    inference(avatar_component_clause,[],[f29]) ).

fof(f29,plain,
    ( spl0_3
  <=> between(u,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f631,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f628]) ).

fof(f628,plain,
    ( $false
    | spl0_2 ),
    inference(resolution,[],[f625,f53]) ).

fof(f53,plain,
    ! [X2,X3,X0,X1] : equidistant(X0,X1,X2,extension(X3,X2,X1,X0)),
    inference(resolution,[],[f49,f39]) ).

fof(f49,plain,
    ! [X2,X3,X0,X1] : equidistant(extension(X0,X1,X2,X3),X1,X3,X2),
    inference(resolution,[],[f43,f39]) ).

fof(f625,plain,
    ( ~ equidistant(lower_dimension_point_2,lower_dimension_point_1,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2))
    | spl0_2 ),
    inference(resolution,[],[f57,f27]) ).

fof(f27,plain,
    ( ~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))
    | spl0_2 ),
    inference(avatar_component_clause,[],[f25]) ).

fof(f25,plain,
    ( spl0_2
  <=> equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f57,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( equidistant(X0,X1,X2,extension(X3,X2,X4,X5))
      | ~ equidistant(X5,X4,X0,X1) ),
    inference(resolution,[],[f53,f2]) ).

fof(f32,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f19,f29,f25,f21]) ).

fof(f19,axiom,
    ( ~ between(u,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2))
    | ~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2))
    | v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2) ),
    file('/export/starexec/sandbox2/tmp/tmp.YZ2M3sfxUm/Vampire---4.8_26520',prove_lengthen) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : GEO037-2 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n010.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 18:42:19 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.YZ2M3sfxUm/Vampire---4.8_26520
% 0.62/0.80  % (26717)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)
% 0.62/0.80  % (26718)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)
% 0.62/0.80  % (26719)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.80  % (26720)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)
% 0.62/0.80  % (26721)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)
% 0.62/0.80  % (26723)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)
% 0.62/0.80  % (26722)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)
% 0.62/0.80  % (26724)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)
% 0.62/0.81  % (26724)Refutation not found, incomplete strategy% (26724)------------------------------
% 0.62/0.81  % (26724)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81  % (26724)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (26724)Memory used [KB]: 1027
% 0.62/0.81  % (26724)Time elapsed: 0.010 s
% 0.62/0.81  % (26724)Instructions burned: 16 (million)
% 0.62/0.81  % (26724)------------------------------
% 0.62/0.81  % (26724)------------------------------
% 0.62/0.81  % (26726)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.62/0.81  % (26718)First to succeed.
% 0.62/0.81  % (26718)Refutation found. Thanks to Tanya!
% 0.62/0.81  % SZS status Unsatisfiable for Vampire---4
% 0.62/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.82  % (26718)------------------------------
% 0.62/0.82  % (26718)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82  % (26718)Termination reason: Refutation
% 0.62/0.82  
% 0.62/0.82  % (26718)Memory used [KB]: 1090
% 0.62/0.82  % (26718)Time elapsed: 0.016 s
% 0.62/0.82  % (26718)Instructions burned: 25 (million)
% 0.62/0.82  % (26718)------------------------------
% 0.62/0.82  % (26718)------------------------------
% 0.62/0.82  % (26678)Success in time 0.438 s
% 0.62/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------