TSTP Solution File: GEO059-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO059-2 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n024.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 : Sun May  5 05:08:58 EDT 2024

% Result   : Unsatisfiable 0.58s 0.76s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   18 (  14 unt;   0 def)
%            Number of atoms       :   23 (   1 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   12 (   7   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-4 aty)
%            Number of variables   :   66 (  66   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f212,plain,
    $false,
    inference(resolution,[],[f199,f21]) ).

fof(f21,plain,
    ~ equidistant(v,u,v,extension(extension(u,v,u,v),v,extension(u,v,u,v),v)),
    inference(definition_unfolding,[],[f20,f19,f19]) ).

fof(f19,axiom,
    ! [X3,X10] : reflection(X10,X3) = extension(X10,X3,X10,X3),
    file('/export/starexec/sandbox/tmp/tmp.JVgMKQP5Sp/Vampire---4.8_2284',reflection) ).

fof(f20,axiom,
    ~ equidistant(v,u,v,reflection(reflection(u,v),v)),
    file('/export/starexec/sandbox/tmp/tmp.JVgMKQP5Sp/Vampire---4.8_2284',prove_congruence) ).

fof(f199,plain,
    ! [X2,X3,X0,X1,X4,X5] : equidistant(X0,X1,X2,extension(X3,X2,extension(X4,X5,X1,X0),X5)),
    inference(resolution,[],[f162,f36]) ).

fof(f36,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X2,X3,X0,X1)
      | equidistant(X0,X1,X2,X3) ),
    inference(resolution,[],[f31,f2]) ).

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/sandbox/tmp/tmp.JVgMKQP5Sp/Vampire---4.8_2284',transitivity_for_equidistance) ).

fof(f31,plain,
    ! [X0,X1] : equidistant(X0,X1,X0,X1),
    inference(resolution,[],[f28,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : equidistant(X0,X1,X1,X0),
    file('/export/starexec/sandbox/tmp/tmp.JVgMKQP5Sp/Vampire---4.8_2284',reflexivity_for_equidistance) ).

fof(f28,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X3,X2,X0,X1)
      | equidistant(X0,X1,X2,X3) ),
    inference(resolution,[],[f2,f1]) ).

fof(f162,plain,
    ! [X2,X3,X0,X1,X4,X5] : equidistant(X0,extension(X1,X0,extension(X2,X3,X4,X5),X3),X5,X4),
    inference(resolution,[],[f125,f28]) ).

fof(f125,plain,
    ! [X2,X3,X0,X1,X4,X5] : equidistant(X0,X1,X2,extension(X3,X2,extension(X4,X5,X0,X1),X5)),
    inference(resolution,[],[f88,f36]) ).

fof(f88,plain,
    ! [X2,X3,X0,X1,X4,X5] : equidistant(X0,extension(X1,X0,extension(X2,X3,X4,X5),X3),X4,X5),
    inference(resolution,[],[f29,f41]) ).

fof(f41,plain,
    ! [X2,X3,X0,X1] : equidistant(X0,X1,X2,extension(X3,X2,X1,X0)),
    inference(resolution,[],[f37,f28]) ).

fof(f37,plain,
    ! [X2,X3,X0,X1] : equidistant(extension(X0,X1,X2,X3),X1,X3,X2),
    inference(resolution,[],[f32,f28]) ).

fof(f32,plain,
    ! [X2,X3,X0,X1] : equidistant(X0,X1,extension(X2,X3,X0,X1),X3),
    inference(resolution,[],[f28,f5]) ).

fof(f5,axiom,
    ! [X3,X0,X1,X5] : equidistant(X1,extension(X0,X1,X5,X3),X5,X3),
    file('/export/starexec/sandbox/tmp/tmp.JVgMKQP5Sp/Vampire---4.8_2284',segment_construction2) ).

fof(f29,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X4,extension(X5,X4,X2,X3),X0,X1)
      | equidistant(X0,X1,X2,X3) ),
    inference(resolution,[],[f2,f5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : GEO059-2 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.37  % Computer : n024.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit   : 300
% 0.14/0.37  % WCLimit    : 300
% 0.14/0.37  % DateTime   : Fri May  3 21:56:53 EDT 2024
% 0.14/0.37  % CPUTime    : 
% 0.14/0.37  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.37  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.JVgMKQP5Sp/Vampire---4.8_2284
% 0.54/0.76  % (2393)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 (2996ds/34Mi)
% 0.54/0.76  % (2397)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 (2996ds/34Mi)
% 0.54/0.76  % (2395)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.76  % (2396)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.54/0.76  % (2394)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 (2996ds/51Mi)
% 0.54/0.76  % (2398)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.54/0.76  % (2400)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 (2996ds/56Mi)
% 0.54/0.76  % (2399)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 (2996ds/83Mi)
% 0.58/0.76  % (2394)First to succeed.
% 0.58/0.76  % (2394)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2392"
% 0.58/0.76  % (2394)Refutation found. Thanks to Tanya!
% 0.58/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.58/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.76  % (2394)------------------------------
% 0.58/0.76  % (2394)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (2394)Termination reason: Refutation
% 0.58/0.76  
% 0.58/0.76  % (2394)Memory used [KB]: 1039
% 0.58/0.76  % (2394)Time elapsed: 0.007 s
% 0.58/0.76  % (2394)Instructions burned: 10 (million)
% 0.58/0.76  % (2392)Success in time 0.384 s
% 0.58/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------