TSTP Solution File: GEO057-3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO057-3 : 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 : n009.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 02:21:30 EDT 2024

% Result   : Unsatisfiable 0.62s 0.83s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   11 (   8 unt;   1 typ;   0 def)
%            Number of atoms       :   38 (   5 equ)
%            Maximal formula atoms :    2 (   3 avg)
%            Number of connectives :    7 (   5   ~;   1   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   26 (  26 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   4 usr;   2 prp; 0-4 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   15 (  14   !;   0   ?;  15   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

tff(f49,plain,
    $false,
    inference(subsumption_resolution,[],[f48,f40]) ).

tff(f40,plain,
    ! [X3: $i,X10: $i,X5: $i] : sQ0_eqProxy($i,extension(X10,X3,X5,X5),X3),
    inference(equality_proxy_replacement,[],[f29,f38]) ).

tff(f38,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( sQ0_eqProxy(X0,X1,X2)
    <=> ( X1 = X2 ) ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

tff(f29,axiom,
    ! [X3: $i,X10: $i,X5: $i] : ( extension(X10,X3,X5,X5) = X3 ),
    file('/export/starexec/sandbox2/tmp/tmp.SKkxR0fQLC/Vampire---4.8_5334',e1) ).

tff(f48,plain,
    ~ sQ0_eqProxy($i,extension(u,u,u,u),u),
    inference(resolution,[],[f46,f39]) ).

tff(f39,plain,
    ~ sQ0_eqProxy($i,u,extension(u,u,u,u)),
    inference(equality_proxy_replacement,[],[f34,f38]) ).

tff(f34,plain,
    u != extension(u,u,u,u),
    inference(definition_unfolding,[],[f33,f19]) ).

tff(f19,axiom,
    ! [X3: $i,X10: $i] : ( reflection(X10,X3) = extension(X10,X3,X10,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.SKkxR0fQLC/Vampire---4.8_5334',reflection) ).

tff(f33,axiom,
    u != reflection(u,u),
    file('/export/starexec/sandbox2/tmp/tmp.SKkxR0fQLC/Vampire---4.8_5334',prove_null_extension_by_reflection) ).

tff(f46,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( sQ0_eqProxy(X0,X2,X1)
      | ~ sQ0_eqProxy(X0,X1,X2) ),
    inference(equality_proxy_axiom,[],[f38]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : GEO057-3 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14  % 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 : n009.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   : Tue Apr 30 18:53:41 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.SKkxR0fQLC/Vampire---4.8_5334
% 0.62/0.83  % (5539)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)
% 0.62/0.83  % (5545)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)
% 0.62/0.83  % (5542)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.83  % (5540)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)
% 0.62/0.83  % (5543)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)
% 0.62/0.83  % (5544)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)
% 0.62/0.83  % (5547)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)
% 0.62/0.83  % (5546)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)
% 0.62/0.83  % (5539)First to succeed.
% 0.62/0.83  % (5545)Also succeeded, but the first one will report.
% 0.62/0.83  % (5546)Also succeeded, but the first one will report.
% 0.62/0.83  % (5539)Refutation found. Thanks to Tanya!
% 0.62/0.83  % SZS status Unsatisfiable for Vampire---4
% 0.62/0.83  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.83  % (5539)------------------------------
% 0.62/0.83  % (5539)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.83  % (5539)Termination reason: Refutation
% 0.62/0.83  
% 0.62/0.83  % (5539)Memory used [KB]: 990
% 0.62/0.83  % (5539)Time elapsed: 0.003 s
% 0.62/0.83  % (5539)Instructions burned: 2 (million)
% 0.62/0.83  % (5539)------------------------------
% 0.62/0.83  % (5539)------------------------------
% 0.62/0.83  % (5494)Success in time 0.46 s
% 0.62/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------