TSTP Solution File: GEO030-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO030-2 : 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 : 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 : Sun May  5 05:08:44 EDT 2024

% Result   : Unsatisfiable 0.61s 0.80s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   14 (  11 unt;   0 def)
%            Number of atoms       :   24 (   4 equ)
%            Maximal formula atoms :    8 (   1 avg)
%            Number of connectives :   23 (  13   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   23 (  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f112,plain,
    $false,
    inference(subsumption_resolution,[],[f81,f40]) ).

fof(f40,plain,
    ! [X0] : ~ equidistant(X0,X0,w,w1),
    inference(unit_resulting_resolution,[],[f1,f28,f2]) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( equidistant(X2,X3,X4,X5)
      | ~ equidistant(X0,X1,X4,X5)
      | ~ equidistant(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.47iMyIJ2O5/Vampire---4.8_32295',transitivity_for_equidistance) ).

fof(f28,plain,
    ! [X0] : ~ equidistant(w,w1,X0,X0),
    inference(unit_resulting_resolution,[],[f23,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( X0 = X1
      | ~ equidistant(X0,X1,X2,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.47iMyIJ2O5/Vampire---4.8_32295',identity_for_equidistance) ).

fof(f23,axiom,
    w != w1,
    file('/export/starexec/sandbox2/tmp/tmp.47iMyIJ2O5/Vampire---4.8_32295',prove_w_is_w1) ).

fof(f1,axiom,
    ! [X0,X1] : equidistant(X0,X1,X1,X0),
    file('/export/starexec/sandbox2/tmp/tmp.47iMyIJ2O5/Vampire---4.8_32295',reflexivity_for_equidistance) ).

fof(f81,plain,
    equidistant(w,w,w,w1),
    inference(unit_resulting_resolution,[],[f22,f19,f19,f39,f20,f21,f39,f6]) ).

fof(f6,axiom,
    ! [X2,X3,X0,X1,X8,X6,X9,X7] :
      ( equidistant(X2,X3,X8,X9)
      | X0 = X1
      | ~ between(X6,X7,X8)
      | ~ between(X0,X1,X2)
      | ~ equidistant(X1,X3,X7,X9)
      | ~ equidistant(X0,X3,X6,X9)
      | ~ equidistant(X1,X2,X7,X8)
      | ~ equidistant(X0,X1,X6,X7) ),
    file('/export/starexec/sandbox2/tmp/tmp.47iMyIJ2O5/Vampire---4.8_32295',outer_five_segment) ).

fof(f21,axiom,
    equidistant(v,w,v,w1),
    file('/export/starexec/sandbox2/tmp/tmp.47iMyIJ2O5/Vampire---4.8_32295',v_to_w_equals_v_to_w1) ).

fof(f20,axiom,
    equidistant(u,w,u,w1),
    file('/export/starexec/sandbox2/tmp/tmp.47iMyIJ2O5/Vampire---4.8_32295',u_to_w_equals_u_to_w1) ).

fof(f39,plain,
    ! [X0,X1] : equidistant(X0,X1,X0,X1),
    inference(unit_resulting_resolution,[],[f1,f1,f2]) ).

fof(f19,axiom,
    between(u,v,w),
    file('/export/starexec/sandbox2/tmp/tmp.47iMyIJ2O5/Vampire---4.8_32295',v_between_u_and_w) ).

fof(f22,axiom,
    u != v,
    file('/export/starexec/sandbox2/tmp/tmp.47iMyIJ2O5/Vampire---4.8_32295',u_not_v) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : GEO030-2 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.14  % 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
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 21:53:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.36  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.47iMyIJ2O5/Vampire---4.8_32295
% 0.61/0.78  % (32526)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.78  % (32531)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)
% 0.61/0.79  % (32524)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)
% 0.61/0.79  % (32525)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)
% 0.61/0.79  % (32527)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)
% 0.61/0.79  % (32529)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)
% 0.61/0.79  % (32530)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)
% 0.61/0.79  % (32528)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)
% 0.61/0.80  % (32531)Also succeeded, but the first one will report.
% 0.61/0.80  % (32527)First to succeed.
% 0.61/0.80  % (32527)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32483"
% 0.61/0.80  % (32527)Refutation found. Thanks to Tanya!
% 0.61/0.80  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.80  % (32527)------------------------------
% 0.61/0.80  % (32527)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (32527)Termination reason: Refutation
% 0.61/0.80  
% 0.61/0.80  % (32527)Memory used [KB]: 1099
% 0.61/0.80  % (32527)Time elapsed: 0.017 s
% 0.61/0.80  % (32527)Instructions burned: 14 (million)
% 0.61/0.80  % (32483)Success in time 0.432 s
% 0.61/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------