TSTP Solution File: GEO035-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO035-2 : 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 : n012.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 05:08:47 EDT 2024

% Result   : Unsatisfiable 0.59s 0.76s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    9 (   5 unt;   1 typ;   0 def)
%            Number of atoms       :   25 (   3 equ)
%            Maximal formula atoms :    2 (   3 avg)
%            Number of connectives :    7 (   4   ~;   2   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   14 (  14 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   6 usr;   4 prp; 0-4 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   17 (  16   !;   0   ?;  17   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_3,type,
    sQ0_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f37,plain,
    $false,
    inference(resolution,[],[f31,f21]) ).

tff(f21,plain,
    ~ sQ0_eqProxy($i,v,extension(u,v,w,w)),
    inference(equality_proxy_replacement,[],[f19,f20]) ).

tff(f20,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( sQ0_eqProxy(X0,X1,X2)
    <=> ( X1 = X2 ) ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

tff(f19,axiom,
    v != extension(u,v,w,w),
    file('/export/starexec/sandbox2/tmp/tmp.eYH8LFok7U/Vampire---4.8_8417',prove_null_extension) ).

tff(f31,plain,
    ! [X2: $i,X0: $i,X1: $i] : sQ0_eqProxy($i,X0,extension(X1,X0,X2,X2)),
    inference(resolution,[],[f25,f5]) ).

tff(f5,axiom,
    ! [X3: $i,X0: $i,X1: $i,X5: $i] : equidistant(X1,extension(X0,X1,X5,X3),X5,X3),
    file('/export/starexec/sandbox2/tmp/tmp.eYH8LFok7U/Vampire---4.8_8417',segment_construction2) ).

tff(f25,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ~ equidistant(X0,X1,X2,X2)
      | sQ0_eqProxy($i,X0,X1) ),
    inference(equality_proxy_replacement,[],[f3,f20]) ).

tff(f3,axiom,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ equidistant(X0,X1,X2,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.eYH8LFok7U/Vampire---4.8_8417',identity_for_equidistance) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : GEO035-2 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.14  % 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 : n012.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 21:58:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.35  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.eYH8LFok7U/Vampire---4.8_8417
% 0.59/0.76  % (8525)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)
% 0.59/0.76  % (8529)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)
% 0.59/0.76  % (8527)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.76  % (8528)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)
% 0.59/0.76  % (8526)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)
% 0.59/0.76  % (8525)First to succeed.
% 0.59/0.76  % (8532)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)
% 0.59/0.76  % (8529)Also succeeded, but the first one will report.
% 0.59/0.76  % (8528)Also succeeded, but the first one will report.
% 0.59/0.76  % (8525)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8524"
% 0.59/0.76  % (8527)Also succeeded, but the first one will report.
% 0.59/0.76  % (8526)Also succeeded, but the first one will report.
% 0.59/0.76  % (8525)Refutation found. Thanks to Tanya!
% 0.59/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.59/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.76  % (8525)------------------------------
% 0.59/0.76  % (8525)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (8525)Termination reason: Refutation
% 0.59/0.76  
% 0.59/0.76  % (8525)Memory used [KB]: 998
% 0.59/0.76  % (8525)Time elapsed: 0.002 s
% 0.59/0.76  % (8525)Instructions burned: 3 (million)
% 0.59/0.76  % (8524)Success in time 0.402 s
% 0.59/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------