TSTP Solution File: GEO082-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO082-1 : TPTP v8.1.2. Released v2.4.0.
% 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 : n028.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 05:09:11 EDT 2024

% Result   : Unsatisfiable 0.69s 0.86s
% Output   : Refutation 0.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   29 (   5 unt;   0 def)
%            Number of atoms       :   64 (   4 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   63 (  28   ~;  32   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f218,plain,
    $false,
    inference(avatar_sat_refutation,[],[f105,f106,f154,f217]) ).

fof(f217,plain,
    ( ~ spl1_1
    | spl1_2 ),
    inference(avatar_contradiction_clause,[],[f216]) ).

fof(f216,plain,
    ( $false
    | ~ spl1_1
    | spl1_2 ),
    inference(subsumption_resolution,[],[f215,f50]) ).

fof(f50,axiom,
    part_of(sk15,sk14),
    file('/export/starexec/sandbox2/tmp/tmp.J2G1PbO0gO/Vampire---4.8_9065',part_of_antisymmetry_68) ).

fof(f215,plain,
    ( ~ part_of(sk15,sk14)
    | ~ spl1_1
    | spl1_2 ),
    inference(resolution,[],[f156,f103]) ).

fof(f103,plain,
    ( ~ incident_c(ax0_sk13(sk14,sk15),sk14)
    | spl1_2 ),
    inference(avatar_component_clause,[],[f102]) ).

fof(f102,plain,
    ( spl1_2
  <=> incident_c(ax0_sk13(sk14,sk15),sk14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f156,plain,
    ( ! [X0] :
        ( incident_c(ax0_sk13(sk14,sk15),X0)
        | ~ part_of(sk15,X0) )
    | ~ spl1_1 ),
    inference(resolution,[],[f100,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( incident_c(X2,X1)
      | ~ incident_c(X2,X0)
      | ~ part_of(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.J2G1PbO0gO/Vampire---4.8_9065',part_of_defn_1) ).

fof(f100,plain,
    ( incident_c(ax0_sk13(sk14,sk15),sk15)
    | ~ spl1_1 ),
    inference(avatar_component_clause,[],[f98]) ).

fof(f98,plain,
    ( spl1_1
  <=> incident_c(ax0_sk13(sk14,sk15),sk15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f154,plain,
    ( spl1_1
    | ~ spl1_2 ),
    inference(avatar_contradiction_clause,[],[f153]) ).

fof(f153,plain,
    ( $false
    | spl1_1
    | ~ spl1_2 ),
    inference(subsumption_resolution,[],[f139,f49]) ).

fof(f49,axiom,
    part_of(sk14,sk15),
    file('/export/starexec/sandbox2/tmp/tmp.J2G1PbO0gO/Vampire---4.8_9065',part_of_antisymmetry_67) ).

fof(f139,plain,
    ( ~ part_of(sk14,sk15)
    | spl1_1
    | ~ spl1_2 ),
    inference(resolution,[],[f109,f104]) ).

fof(f104,plain,
    ( incident_c(ax0_sk13(sk14,sk15),sk14)
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f102]) ).

fof(f109,plain,
    ( ! [X0] :
        ( ~ incident_c(ax0_sk13(sk14,sk15),X0)
        | ~ part_of(X0,sk15) )
    | spl1_1 ),
    inference(resolution,[],[f99,f1]) ).

fof(f99,plain,
    ( ~ incident_c(ax0_sk13(sk14,sk15),sk15)
    | spl1_1 ),
    inference(avatar_component_clause,[],[f98]) ).

fof(f106,plain,
    ( ~ spl1_2
    | ~ spl1_1 ),
    inference(avatar_split_clause,[],[f94,f98,f102]) ).

fof(f94,plain,
    ( ~ incident_c(ax0_sk13(sk14,sk15),sk15)
    | ~ incident_c(ax0_sk13(sk14,sk15),sk14) ),
    inference(resolution,[],[f72,f71]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( sQ0_eqProxy(X0,X1)
      | ~ incident_c(ax0_sk13(X0,X1),X1)
      | ~ incident_c(ax0_sk13(X0,X1),X0) ),
    inference(equality_proxy_replacement,[],[f48,f56]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( sQ0_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

fof(f48,axiom,
    ! [X0,X1] :
      ( X0 = X1
      | ~ incident_c(ax0_sk13(X0,X1),X1)
      | ~ incident_c(ax0_sk13(X0,X1),X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.J2G1PbO0gO/Vampire---4.8_9065',c9_48) ).

fof(f72,plain,
    ~ sQ0_eqProxy(sk14,sk15),
    inference(equality_proxy_replacement,[],[f51,f56]) ).

fof(f51,axiom,
    sk14 != sk15,
    file('/export/starexec/sandbox2/tmp/tmp.J2G1PbO0gO/Vampire---4.8_9065',part_of_antisymmetry_69) ).

fof(f105,plain,
    ( spl1_1
    | spl1_2 ),
    inference(avatar_split_clause,[],[f93,f102,f98]) ).

fof(f93,plain,
    ( incident_c(ax0_sk13(sk14,sk15),sk14)
    | incident_c(ax0_sk13(sk14,sk15),sk15) ),
    inference(resolution,[],[f72,f68]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( sQ0_eqProxy(X0,X1)
      | incident_c(ax0_sk13(X0,X1),X0)
      | incident_c(ax0_sk13(X0,X1),X1) ),
    inference(equality_proxy_replacement,[],[f45,f56]) ).

fof(f45,axiom,
    ! [X0,X1] :
      ( X0 = X1
      | incident_c(ax0_sk13(X0,X1),X0)
      | incident_c(ax0_sk13(X0,X1),X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.J2G1PbO0gO/Vampire---4.8_9065',c9_45) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : GEO082-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.15  % 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
% 0.14/0.35  % Computer : n028.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 21:57:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.36  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.J2G1PbO0gO/Vampire---4.8_9065
% 0.60/0.85  % (9267)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.85  % (9265)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)
% 0.60/0.85  % (9266)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)
% 0.60/0.85  % (9268)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)
% 0.60/0.85  % (9269)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)
% 0.60/0.85  % (9270)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)
% 0.60/0.85  % (9271)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)
% 0.60/0.85  % (9272)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)
% 0.60/0.85  % (9270)Refutation not found, incomplete strategy% (9270)------------------------------
% 0.60/0.85  % (9270)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.85  % (9267)Refutation not found, incomplete strategy% (9267)------------------------------
% 0.60/0.85  % (9267)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.85  % (9268)Refutation not found, incomplete strategy% (9268)------------------------------
% 0.60/0.85  % (9268)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.85  % (9267)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.85  
% 0.60/0.85  % (9268)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.85  
% 0.60/0.85  % (9267)Memory used [KB]: 972
% 0.60/0.85  % (9268)Memory used [KB]: 972
% 0.60/0.85  % (9267)Time elapsed: 0.003 s
% 0.60/0.85  % (9268)Time elapsed: 0.003 s
% 0.60/0.85  % (9267)Instructions burned: 2 (million)
% 0.60/0.85  % (9268)Instructions burned: 2 (million)
% 0.60/0.85  % (9272)Refutation not found, incomplete strategy% (9272)------------------------------
% 0.60/0.85  % (9272)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.85  % (9272)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.85  
% 0.60/0.85  % (9272)Memory used [KB]: 973
% 0.60/0.85  % (9272)Time elapsed: 0.002 s
% 0.60/0.85  % (9272)Instructions burned: 2 (million)
% 0.60/0.85  % (9270)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.85  
% 0.60/0.85  % (9270)Memory used [KB]: 971
% 0.60/0.85  % (9270)Time elapsed: 0.003 s
% 0.60/0.85  % (9270)Instructions burned: 2 (million)
% 0.60/0.86  % (9271)Refutation not found, incomplete strategy% (9271)------------------------------
% 0.60/0.86  % (9271)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.86  % (9271)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.86  
% 0.60/0.86  % (9271)Memory used [KB]: 973
% 0.60/0.86  % (9271)Time elapsed: 0.003 s
% 0.60/0.86  % (9271)Instructions burned: 2 (million)
% 0.60/0.86  % (9272)------------------------------
% 0.60/0.86  % (9272)------------------------------
% 0.60/0.86  % (9268)------------------------------
% 0.60/0.86  % (9268)------------------------------
% 0.60/0.86  % (9270)------------------------------
% 0.60/0.86  % (9270)------------------------------
% 0.60/0.86  % (9271)------------------------------
% 0.60/0.86  % (9271)------------------------------
% 0.60/0.86  % (9267)------------------------------
% 0.60/0.86  % (9267)------------------------------
% 0.60/0.86  % (9269)First to succeed.
% 0.69/0.86  % (9269)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9225"
% 0.69/0.86  % (9269)Refutation found. Thanks to Tanya!
% 0.69/0.86  % SZS status Unsatisfiable for Vampire---4
% 0.69/0.86  % SZS output start Proof for Vampire---4
% See solution above
% 0.69/0.86  % (9269)------------------------------
% 0.69/0.86  % (9269)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.86  % (9269)Termination reason: Refutation
% 0.69/0.86  
% 0.69/0.86  % (9269)Memory used [KB]: 1084
% 0.69/0.86  % (9269)Time elapsed: 0.005 s
% 0.69/0.86  % (9269)Instructions burned: 6 (million)
% 0.69/0.86  % (9225)Success in time 0.493 s
% 0.69/0.86  % Vampire---4.8 exiting
%------------------------------------------------------------------------------