TSTP Solution File: SWV246-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV246-1 : TPTP v8.1.2. Released v3.2.0.
% 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 : n006.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 10:28:34 EDT 2024

% Result   : Unsatisfiable 0.65s 0.83s
% Output   : Refutation 0.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   28 (   9 unt;   1 typ;   0 def)
%            Number of atoms       :  182 (   0 equ)
%            Maximal formula atoms :    3 (   6 avg)
%            Number of connectives :   42 (  21   ~;  19   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :  134 ( 134 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   14 (  13 usr;   8 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   26 (  25   !;   0   ?;  26   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_82,type,
    sQ0_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f1474,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1445,f1467,f1473]) ).

tff(f1473,plain,
    ~ spl1_1,
    inference(avatar_contradiction_clause,[],[f1472]) ).

tff(f1472,plain,
    ( $false
    | ~ spl1_1 ),
    inference(subsumption_resolution,[],[f1471,f1413]) ).

tff(f1413,plain,
    ~ c_in(v_Y,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    inference(resolution,[],[f1327,f1403]) ).

tff(f1403,axiom,
    ~ c_in(v_Y,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox2/tmp/tmp.S0quSxUNiQ/Vampire---4.8_28482',cls_conjecture_2) ).

tff(f1327,axiom,
    ! [X1: $i,X4: $i,X12: $i,X13: $i] :
      ( c_in(X4,c_union(X12,X13,X1),X1)
      | ~ c_in(X4,X12,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.S0quSxUNiQ/Vampire---4.8_28482',cls_Set_OUnCI_1) ).

tff(f1471,plain,
    ( c_in(v_Y,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl1_1 ),
    inference(resolution,[],[f1440,f1362]) ).

tff(f1362,axiom,
    ! [X56: $i,X55: $i,X53: $i] :
      ( ~ c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Oanalz(X55),tc_Message_Omsg)
      | c_in(X56,c_Message_Oanalz(X55),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.S0quSxUNiQ/Vampire---4.8_28482',cls_Message_OMPair__analz_0) ).

tff(f1440,plain,
    ( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl1_1 ),
    inference(avatar_component_clause,[],[f1438]) ).

tff(f1438,plain,
    ( spl1_1
  <=> c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

tff(f1467,plain,
    ~ spl1_2,
    inference(avatar_contradiction_clause,[],[f1466]) ).

tff(f1466,plain,
    ( $false
    | ~ spl1_2 ),
    inference(resolution,[],[f1460,f1456]) ).

tff(f1456,plain,
    ( c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg)
    | ~ spl1_2 ),
    inference(subsumption_resolution,[],[f1453,f1412]) ).

tff(f1412,plain,
    ~ c_in(v_Y,c_Message_Osynth(v_G),tc_Message_Omsg),
    inference(resolution,[],[f1326,f1403]) ).

tff(f1326,axiom,
    ! [X1: $i,X4: $i,X12: $i,X13: $i] :
      ( c_in(X4,c_union(X12,X13,X1),X1)
      | ~ c_in(X4,X13,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.S0quSxUNiQ/Vampire---4.8_28482',cls_Set_OUnCI_0) ).

tff(f1453,plain,
    ( c_in(v_Y,c_Message_Osynth(v_G),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg)
    | ~ spl1_2 ),
    inference(resolution,[],[f1366,f1444]) ).

tff(f1444,plain,
    ( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg)
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f1442]) ).

tff(f1442,plain,
    ( spl1_2
  <=> c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

tff(f1366,axiom,
    ! [X56: $i,X55: $i,X53: $i] :
      ( ~ c_in(c_Message_Omsg_OMPair(X53,X56),c_Message_Osynth(X55),tc_Message_Omsg)
      | c_in(X56,c_Message_Osynth(X55),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(X53,X56),X55,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.S0quSxUNiQ/Vampire---4.8_28482',cls_Message_OMPair__synth_0) ).

tff(f1460,plain,
    ! [X0: $i] : ~ c_in(c_Message_Omsg_OMPair(X0,v_Y),v_G,tc_Message_Omsg),
    inference(resolution,[],[f1448,f1327]) ).

tff(f1448,plain,
    ! [X0: $i] : ~ c_in(c_Message_Omsg_OMPair(X0,v_Y),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),
    inference(resolution,[],[f1425,f1413]) ).

tff(f1425,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg) ),
    inference(resolution,[],[f1362,f1377]) ).

tff(f1377,axiom,
    ! [X55: $i,X53: $i] :
      ( c_in(X53,c_Message_Oanalz(X55),tc_Message_Omsg)
      | ~ c_in(X53,X55,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/tmp/tmp.S0quSxUNiQ/Vampire---4.8_28482',cls_Message_Oanalz_OInj_0) ).

tff(f1445,plain,
    ( spl1_1
    | spl1_2 ),
    inference(avatar_split_clause,[],[f1434,f1442,f1438]) ).

tff(f1434,plain,
    ( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(resolution,[],[f1328,f1402]) ).

tff(f1402,axiom,
    c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox2/tmp/tmp.S0quSxUNiQ/Vampire---4.8_28482',cls_conjecture_1) ).

tff(f1328,axiom,
    ! [X1: $i,X4: $i,X12: $i,X13: $i] :
      ( ~ c_in(X4,c_union(X12,X13,X1),X1)
      | c_in(X4,X13,X1)
      | c_in(X4,X12,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.S0quSxUNiQ/Vampire---4.8_28482',cls_Set_OUnE_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV246-1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14  % 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
% 0.15/0.35  % Computer : n006.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 20:54:23 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.35  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.S0quSxUNiQ/Vampire---4.8_28482
% 0.65/0.82  % (28705)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)
% 0.65/0.82  % (28709)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)
% 0.65/0.82  % (28704)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.65/0.82  % (28702)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)
% 0.65/0.82  % (28703)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)
% 0.65/0.82  % (28706)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)
% 0.65/0.82  % (28707)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)
% 0.65/0.82  % (28708)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)
% 0.65/0.82  % (28709)Refutation not found, incomplete strategy% (28709)------------------------------
% 0.65/0.82  % (28709)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.82  % (28709)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.82  
% 0.65/0.82  % (28709)Memory used [KB]: 1766
% 0.65/0.82  % (28709)Time elapsed: 0.003 s
% 0.65/0.82  % (28709)Instructions burned: 6 (million)
% 0.65/0.82  % (28709)------------------------------
% 0.65/0.82  % (28709)------------------------------
% 0.65/0.82  % (28707)Refutation not found, incomplete strategy% (28707)------------------------------
% 0.65/0.82  % (28707)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.82  % (28713)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.65/0.82  % (28707)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.82  
% 0.65/0.82  % (28707)Memory used [KB]: 1771
% 0.65/0.82  % (28707)Time elapsed: 0.006 s
% 0.65/0.82  % (28707)Instructions burned: 7 (million)
% 0.65/0.83  % (28707)------------------------------
% 0.65/0.83  % (28707)------------------------------
% 0.65/0.83  % (28702)First to succeed.
% 0.65/0.83  % (28702)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28644"
% 0.65/0.83  % (28704)Also succeeded, but the first one will report.
% 0.65/0.83  % (28702)Refutation found. Thanks to Tanya!
% 0.65/0.83  % SZS status Unsatisfiable for Vampire---4
% 0.65/0.83  % SZS output start Proof for Vampire---4
% See solution above
% 0.65/0.83  % (28702)------------------------------
% 0.65/0.83  % (28702)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.83  % (28702)Termination reason: Refutation
% 0.65/0.83  
% 0.65/0.83  % (28702)Memory used [KB]: 1869
% 0.65/0.83  % (28702)Time elapsed: 0.008 s
% 0.65/0.83  % (28702)Instructions burned: 11 (million)
% 0.65/0.83  % (28644)Success in time 0.464 s
% 0.65/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------