TSTP Solution File: NUM625+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM625+3 : TPTP v8.1.2. Released v4.0.0.
% 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 : n014.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 03:32:34 EDT 2024

% Result   : ContradictoryAxioms 0.67s 0.85s
% Output   : Refutation 0.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   13 (   8 unt;   1 typ;   0 def)
%            Number of atoms       :   63 (   9 equ)
%            Maximal formula atoms :    4 (   5 avg)
%            Number of connectives :   14 (   4   ~;   1   |;   7   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   41 (  41 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   11 (   9 usr;   5 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    6 (   5   !;   0   ?;   4   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_35,type,
    sQ73_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f1183,plain,
    $false,
    inference(subsumption_resolution,[],[f1092,f1084]) ).

tff(f1084,plain,
    sQ73_eqProxy($i,szmzizndt0(xQ),xx),
    inference(equality_proxy_replacement,[],[f943,f1002]) ).

tff(f1002,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( sQ73_eqProxy(X0,X1,X2)
    <=> ( X1 = X2 ) ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ73_eqProxy])]) ).

tff(f943,plain,
    szmzizndt0(xQ) = xx,
    inference(definition_unfolding,[],[f770,f810]) ).

tff(f810,plain,
    xp = xx,
    inference(cnf_transformation,[],[f120]) ).

tff(f120,axiom,
    xp = xx,
    file('/export/starexec/sandbox/tmp/tmp.MLdLVxsepz/Vampire---4.8_9661',m__5496) ).

tff(f770,plain,
    xp = szmzizndt0(xQ),
    inference(cnf_transformation,[],[f180]) ).

tff(f180,plain,
    ( ( xp = szmzizndt0(xQ) )
    & ! [X0] :
        ( sdtlseqdt0(xp,X0)
        | ~ aElementOf0(X0,xQ) )
    & aElementOf0(xp,xQ) ),
    inference(ennf_transformation,[],[f103]) ).

tff(f103,axiom,
    ( ( xp = szmzizndt0(xQ) )
    & ! [X0] :
        ( aElementOf0(X0,xQ)
       => sdtlseqdt0(xp,X0) )
    & aElementOf0(xp,xQ) ),
    file('/export/starexec/sandbox/tmp/tmp.MLdLVxsepz/Vampire---4.8_9661',m__5147) ).

tff(f1092,plain,
    ~ sQ73_eqProxy($i,szmzizndt0(xQ),xx),
    inference(equality_proxy_replacement,[],[f795,f1002]) ).

tff(f795,plain,
    szmzizndt0(xQ) != xx,
    inference(cnf_transformation,[],[f113]) ).

tff(f113,axiom,
    ( aElementOf0(xx,xP)
    & ( szmzizndt0(xQ) != xx )
    & aElementOf0(xx,xQ)
    & aElement0(xx) ),
    file('/export/starexec/sandbox/tmp/tmp.MLdLVxsepz/Vampire---4.8_9661',m__5348) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : NUM625+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13  % 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
% 0.12/0.34  % Computer : n014.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Apr 30 16:46:48 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  This is a FOF_CAX_RFO_SEQ problem
% 0.12/0.34  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.MLdLVxsepz/Vampire---4.8_9661
% 0.66/0.83  % (9778)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)
% 0.66/0.83  % (9776)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.66/0.83  % (9775)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)
% 0.66/0.83  % (9777)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)
% 0.66/0.83  % (9774)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)
% 0.66/0.83  % (9779)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)
% 0.66/0.83  % (9781)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)
% 0.66/0.83  % (9780)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)
% 0.67/0.85  % (9774)First to succeed.
% 0.67/0.85  % (9781)Also succeeded, but the first one will report.
% 0.67/0.85  % (9774)Refutation found. Thanks to Tanya!
% 0.67/0.85  % SZS status ContradictoryAxioms for Vampire---4
% 0.67/0.85  % SZS output start Proof for Vampire---4
% See solution above
% 0.67/0.85  % (9774)------------------------------
% 0.67/0.85  % (9774)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.85  % (9774)Termination reason: Refutation
% 0.67/0.85  
% 0.67/0.85  % (9774)Memory used [KB]: 1639
% 0.67/0.85  % (9774)Time elapsed: 0.015 s
% 0.67/0.85  % (9774)Instructions burned: 29 (million)
% 0.67/0.85  % (9774)------------------------------
% 0.67/0.85  % (9774)------------------------------
% 0.67/0.85  % (9772)Success in time 0.494 s
% 0.67/0.85  % Vampire---4.8 exiting
%------------------------------------------------------------------------------