TSTP Solution File: CSR044+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : CSR044+1 : TPTP v8.1.2. Released v3.4.0.
% 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 : n027.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 04:49:23 EDT 2024

% Result   : Theorem 0.55s 0.75s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   59 (   9 unt;   0 def)
%            Number of atoms       :  138 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  143 (  64   ~;  56   |;   8   &)
%                                         (   3 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   4 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-4 aty)
%            Number of variables   :   52 (  49   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f212,plain,
    $false,
    inference(avatar_sat_refutation,[],[f188,f192,f200,f211]) ).

fof(f211,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f210]) ).

fof(f210,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f209,f162]) ).

fof(f162,plain,
    executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,axiom,
    executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
    file('/export/starexec/sandbox2/tmp/tmp.ygfLlaveFP/Vampire---4.8_22574',just12) ).

fof(f209,plain,
    ( ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(resolution,[],[f207,f171]) ).

fof(f171,plain,
    ! [X0] :
      ( isa(X0,c_executionbyfiringsquad)
      | ~ executionbyfiringsquad(X0) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f141,plain,
    ! [X0] :
      ( isa(X0,c_executionbyfiringsquad)
      | ~ executionbyfiringsquad(X0) ),
    inference(ennf_transformation,[],[f77]) ).

fof(f77,plain,
    ! [X0] :
      ( executionbyfiringsquad(X0)
     => isa(X0,c_executionbyfiringsquad) ),
    inference(rectify,[],[f34]) ).

fof(f34,axiom,
    ! [X12] :
      ( executionbyfiringsquad(X12)
     => isa(X12,c_executionbyfiringsquad) ),
    file('/export/starexec/sandbox2/tmp/tmp.ygfLlaveFP/Vampire---4.8_22574',just34) ).

fof(f207,plain,
    ( ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f206,f162]) ).

fof(f206,plain,
    ( ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad)
    | ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(resolution,[],[f205,f191]) ).

fof(f191,plain,
    ( ! [X0] :
        ( tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
        | ~ executionbyfiringsquad(X0) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f190]) ).

fof(f190,plain,
    ( spl0_3
  <=> ! [X0] :
        ( tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
        | ~ executionbyfiringsquad(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f205,plain,
    ( ! [X0] :
        ( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
        | ~ isa(X0,c_executionbyfiringsquad) )
    | ~ spl0_2 ),
    inference(resolution,[],[f203,f154]) ).

fof(f154,plain,
    ! [X0] :
      ( ~ tptpcol_16_29490(X0)
      | ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f128,plain,
    ! [X0] :
      ( ( ~ tptpcol_16_29490(X0)
        | ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0) )
      & mtvisible(c_tptp_member3633_mt) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,plain,
    ~ ? [X0] :
        ( mtvisible(c_tptp_member3633_mt)
       => ( tptpcol_16_29490(X0)
          & tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0) ) ),
    inference(rectify,[],[f66]) ).

fof(f66,negated_conjecture,
    ~ ? [X12] :
        ( mtvisible(c_tptp_member3633_mt)
       => ( tptpcol_16_29490(X12)
          & tptp_9_720(c_tptpexecutionbyfiringsquad_90,X12) ) ),
    inference(negated_conjecture,[],[f65]) ).

fof(f65,conjecture,
    ? [X12] :
      ( mtvisible(c_tptp_member3633_mt)
     => ( tptpcol_16_29490(X12)
        & tptp_9_720(c_tptpexecutionbyfiringsquad_90,X12) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ygfLlaveFP/Vampire---4.8_22574',query44) ).

fof(f203,plain,
    ( ! [X0] :
        ( tptpcol_16_29490(f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
        | ~ isa(X0,c_executionbyfiringsquad) )
    | ~ spl0_2 ),
    inference(resolution,[],[f202,f187]) ).

fof(f187,plain,
    ( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f185]) ).

fof(f185,plain,
    ( spl0_2
  <=> relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f202,plain,
    ! [X2,X0,X1] :
      ( ~ relationallexists(X0,X1,c_tptpcol_16_29490)
      | ~ isa(X2,X1)
      | tptpcol_16_29490(f_relationallexistsfn(X2,X0,X1,c_tptpcol_16_29490)) ),
    inference(resolution,[],[f168,f164]) ).

fof(f164,plain,
    ! [X0] :
      ( ~ isa(X0,c_tptpcol_16_29490)
      | tptpcol_16_29490(X0) ),
    inference(cnf_transformation,[],[f136]) ).

fof(f136,plain,
    ! [X0] :
      ( tptpcol_16_29490(X0)
      | ~ isa(X0,c_tptpcol_16_29490) ),
    inference(ennf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0] :
      ( isa(X0,c_tptpcol_16_29490)
     => tptpcol_16_29490(X0) ),
    inference(rectify,[],[f31]) ).

fof(f31,axiom,
    ! [X12] :
      ( isa(X12,c_tptpcol_16_29490)
     => tptpcol_16_29490(X12) ),
    file('/export/starexec/sandbox2/tmp/tmp.ygfLlaveFP/Vampire---4.8_22574',just31) ).

fof(f168,plain,
    ! [X2,X3,X0,X1] :
      ( isa(f_relationallexistsfn(X0,X2,X1,X3),X3)
      | ~ relationallexists(X2,X1,X3)
      | ~ isa(X0,X1) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f140,plain,
    ! [X0,X1,X2,X3] :
      ( isa(f_relationallexistsfn(X0,X2,X1,X3),X3)
      | ~ relationallexists(X2,X1,X3)
      | ~ isa(X0,X1) ),
    inference(flattening,[],[f139]) ).

fof(f139,plain,
    ! [X0,X1,X2,X3] :
      ( isa(f_relationallexistsfn(X0,X2,X1,X3),X3)
      | ~ relationallexists(X2,X1,X3)
      | ~ isa(X0,X1) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1,X2,X3] :
      ( ( relationallexists(X2,X1,X3)
        & isa(X0,X1) )
     => isa(f_relationallexistsfn(X0,X2,X1,X3),X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.ygfLlaveFP/Vampire---4.8_22574',just1) ).

fof(f200,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f199]) ).

fof(f199,plain,
    ( $false
    | spl0_1 ),
    inference(subsumption_resolution,[],[f198,f153]) ).

fof(f153,plain,
    mtvisible(c_tptp_member3633_mt),
    inference(cnf_transformation,[],[f128]) ).

fof(f198,plain,
    ( ~ mtvisible(c_tptp_member3633_mt)
    | spl0_1 ),
    inference(resolution,[],[f196,f161]) ).

fof(f161,plain,
    genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox2/tmp/tmp.ygfLlaveFP/Vampire---4.8_22574',just9) ).

fof(f196,plain,
    ( ! [X0] :
        ( ~ genlmt(X0,c_tptp_spindleheadmt)
        | ~ mtvisible(X0) )
    | spl0_1 ),
    inference(resolution,[],[f195,f156]) ).

fof(f156,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(flattening,[],[f129]) ).

fof(f129,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ( genlmt(X0,X1)
        & mtvisible(X0) )
     => mtvisible(X1) ),
    inference(rectify,[],[f48]) ).

fof(f48,axiom,
    ! [X18,X19] :
      ( ( genlmt(X18,X19)
        & mtvisible(X18) )
     => mtvisible(X19) ),
    file('/export/starexec/sandbox2/tmp/tmp.ygfLlaveFP/Vampire---4.8_22574',just48) ).

fof(f195,plain,
    ( ~ mtvisible(c_tptp_spindleheadmt)
    | spl0_1 ),
    inference(resolution,[],[f193,f169]) ).

fof(f169,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/export/starexec/sandbox2/tmp/tmp.ygfLlaveFP/Vampire---4.8_22574',just8) ).

fof(f193,plain,
    ( ! [X0] :
        ( ~ genlmt(X0,c_cyclistsmt)
        | ~ mtvisible(X0) )
    | spl0_1 ),
    inference(resolution,[],[f156,f183]) ).

fof(f183,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f181]) ).

fof(f181,plain,
    ( spl0_1
  <=> mtvisible(c_cyclistsmt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f192,plain,
    ( ~ spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f159,f190,f181]) ).

fof(f159,plain,
    ! [X0] :
      ( tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
      | ~ executionbyfiringsquad(X0)
      | ~ mtvisible(c_cyclistsmt) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f133,plain,
    ! [X0] :
      ( tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
      | ~ executionbyfiringsquad(X0)
      | ~ mtvisible(c_cyclistsmt) ),
    inference(flattening,[],[f132]) ).

fof(f132,plain,
    ! [X0] :
      ( tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
      | ~ executionbyfiringsquad(X0)
      | ~ mtvisible(c_cyclistsmt) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( ( executionbyfiringsquad(X0)
        & mtvisible(c_cyclistsmt) )
     => tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
    file('/export/starexec/sandbox2/tmp/tmp.ygfLlaveFP/Vampire---4.8_22574',just10) ).

fof(f188,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f158,f185,f181]) ).

fof(f158,plain,
    ( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f131,plain,
    ( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ( mtvisible(c_cyclistsmt)
   => relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
    file('/export/starexec/sandbox2/tmp/tmp.ygfLlaveFP/Vampire---4.8_22574',just11) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : CSR044+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.15  % 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
% 0.15/0.36  % Computer : n027.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 20:09:08 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_NEQ problem
% 0.15/0.37  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.ygfLlaveFP/Vampire---4.8_22574
% 0.55/0.75  % (22771)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)
% 0.55/0.75  % (22775)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)
% 0.55/0.75  % (22773)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75  % (22774)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)
% 0.55/0.75  % (22778)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)
% 0.55/0.75  % (22772)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)
% 0.55/0.75  % (22777)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 (2996ds/83Mi)
% 0.55/0.75  % (22776)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.55/0.75  % (22771)Refutation not found, incomplete strategy% (22771)------------------------------
% 0.55/0.75  % (22771)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (22771)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (22771)Memory used [KB]: 1049
% 0.55/0.75  % (22771)Time elapsed: 0.002 s
% 0.55/0.75  % (22771)Instructions burned: 2 (million)
% 0.55/0.75  % (22778)Refutation not found, incomplete strategy% (22778)------------------------------
% 0.55/0.75  % (22778)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (22778)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (22778)Memory used [KB]: 963
% 0.55/0.75  % (22778)Time elapsed: 0.002 s
% 0.55/0.75  % (22774)Refutation not found, incomplete strategy% (22774)------------------------------
% 0.55/0.75  % (22774)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (22774)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (22774)Memory used [KB]: 1031
% 0.55/0.75  % (22774)Time elapsed: 0.003 s
% 0.55/0.75  % (22774)Instructions burned: 2 (million)
% 0.55/0.75  % (22778)Instructions burned: 2 (million)
% 0.55/0.75  % (22771)------------------------------
% 0.55/0.75  % (22771)------------------------------
% 0.55/0.75  % (22776)Refutation not found, incomplete strategy% (22776)------------------------------
% 0.55/0.75  % (22776)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (22776)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (22776)Memory used [KB]: 963
% 0.55/0.75  % (22776)Time elapsed: 0.003 s
% 0.55/0.75  % (22776)Instructions burned: 2 (million)
% 0.55/0.75  % (22774)------------------------------
% 0.55/0.75  % (22774)------------------------------
% 0.55/0.75  % (22778)------------------------------
% 0.55/0.75  % (22778)------------------------------
% 0.55/0.75  % (22777)Refutation not found, incomplete strategy% (22777)------------------------------
% 0.55/0.75  % (22777)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (22777)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (22776)------------------------------
% 0.55/0.75  % (22776)------------------------------
% 0.55/0.75  % (22777)Memory used [KB]: 1031
% 0.55/0.75  % (22777)Time elapsed: 0.003 s
% 0.55/0.75  % (22777)Instructions burned: 2 (million)
% 0.55/0.75  % (22777)------------------------------
% 0.55/0.75  % (22777)------------------------------
% 0.55/0.75  % (22773)First to succeed.
% 0.55/0.75  % (22773)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22762"
% 0.55/0.75  % (22779)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 (2996ds/55Mi)
% 0.55/0.75  % (22772)Also succeeded, but the first one will report.
% 0.55/0.75  % (22773)Refutation found. Thanks to Tanya!
% 0.55/0.75  % SZS status Theorem for Vampire---4
% 0.55/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75  % (22773)------------------------------
% 0.55/0.75  % (22773)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (22773)Termination reason: Refutation
% 0.55/0.75  
% 0.55/0.75  % (22773)Memory used [KB]: 1077
% 0.55/0.75  % (22773)Time elapsed: 0.005 s
% 0.55/0.75  % (22773)Instructions burned: 5 (million)
% 0.55/0.75  % (22762)Success in time 0.38 s
% 0.55/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------