TSTP Solution File: SWC384-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC384-1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n023.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 09:50:44 EDT 2024

% Result   : Unsatisfiable 0.59s 0.75s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   60 (  11 unt;   0 def)
%            Number of atoms       :  147 (  18 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  163 (  76   ~;  79   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   15 (  13 usr;   9 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f470,plain,
    $false,
    inference(avatar_sat_refutation,[],[f235,f245,f250,f255,f260,f283,f291,f359,f416]) ).

fof(f416,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f415]) ).

fof(f415,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | spl0_11 ),
    inference(subsumption_resolution,[],[f414,f249]) ).

fof(f249,plain,
    ( ssList(sk7)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f247,plain,
    ( spl0_5
  <=> ssList(sk7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f414,plain,
    ( ~ ssList(sk7)
    | ~ spl0_4
    | ~ spl0_7
    | spl0_11 ),
    inference(subsumption_resolution,[],[f413,f244]) ).

fof(f244,plain,
    ( ssList(sk6)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f242,plain,
    ( spl0_4
  <=> ssList(sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f413,plain,
    ( ~ ssList(sk6)
    | ~ ssList(sk7)
    | ~ spl0_7
    | spl0_11 ),
    inference(subsumption_resolution,[],[f412,f208]) ).

fof(f208,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox/tmp/tmp.q3qzao13iv/Vampire---4.8_29579',co1_6) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox/tmp/tmp.q3qzao13iv/Vampire---4.8_29579',co1_1) ).

fof(f412,plain,
    ( ~ ssList(sk3)
    | ~ ssList(sk6)
    | ~ ssList(sk7)
    | ~ spl0_7
    | spl0_11 ),
    inference(subsumption_resolution,[],[f411,f209]) ).

fof(f209,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox/tmp/tmp.q3qzao13iv/Vampire---4.8_29579',co1_5) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox/tmp/tmp.q3qzao13iv/Vampire---4.8_29579',co1_2) ).

fof(f411,plain,
    ( ~ ssList(sk4)
    | ~ ssList(sk3)
    | ~ ssList(sk6)
    | ~ ssList(sk7)
    | ~ spl0_7
    | spl0_11 ),
    inference(subsumption_resolution,[],[f389,f282]) ).

fof(f282,plain,
    ( ~ segmentP(sk4,sk3)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f280,plain,
    ( spl0_11
  <=> segmentP(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f389,plain,
    ( segmentP(sk4,sk3)
    | ~ ssList(sk4)
    | ~ ssList(sk3)
    | ~ ssList(sk6)
    | ~ ssList(sk7)
    | ~ spl0_7 ),
    inference(superposition,[],[f220,f259]) ).

fof(f259,plain,
    ( sk4 = app(app(sk6,sk3),sk7)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f257,plain,
    ( spl0_7
  <=> sk4 = app(app(sk6,sk3),sk7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f220,plain,
    ! [X2,X0,X1] :
      ( segmentP(app(app(X0,X1),X2),X1)
      | ~ ssList(app(app(X0,X1),X2))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(X2) ),
    inference(equality_resolution,[],[f173]) ).

fof(f173,axiom,
    ! [X2,X3,X0,X1] :
      ( segmentP(X3,X1)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | app(app(X0,X1),X2) != X3 ),
    file('/export/starexec/sandbox/tmp/tmp.q3qzao13iv/Vampire---4.8_29579',clause173) ).

fof(f359,plain,
    ( spl0_10
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f358,f252,f228,f276]) ).

fof(f276,plain,
    ( spl0_10
  <=> singletonP(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f228,plain,
    ( spl0_1
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f252,plain,
    ( spl0_6
  <=> sk3 = cons(sk5,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f358,plain,
    ( singletonP(sk3)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f357,f230]) ).

fof(f230,plain,
    ( ssItem(sk5)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f357,plain,
    ( singletonP(sk3)
    | ~ ssItem(sk5)
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f325,f208]) ).

fof(f325,plain,
    ( singletonP(sk3)
    | ~ ssList(sk3)
    | ~ ssItem(sk5)
    | ~ spl0_6 ),
    inference(superposition,[],[f219,f254]) ).

fof(f254,plain,
    ( sk3 = cons(sk5,nil)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f219,plain,
    ! [X0] :
      ( singletonP(cons(X0,nil))
      | ~ ssList(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(equality_resolution,[],[f116]) ).

fof(f116,axiom,
    ! [X0,X1] :
      ( singletonP(X1)
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | cons(X0,nil) != X1 ),
    file('/export/starexec/sandbox/tmp/tmp.q3qzao13iv/Vampire---4.8_29579',clause116) ).

fof(f291,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f290]) ).

fof(f290,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f288,f8]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.q3qzao13iv/Vampire---4.8_29579',clause8) ).

fof(f288,plain,
    ( ~ ssList(nil)
    | ~ spl0_2 ),
    inference(resolution,[],[f284,f223]) ).

fof(f223,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f213]) ).

fof(f213,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ ssList(X1)
      | ~ neq(X1,X1) ),
    inference(equality_resolution,[],[f115]) ).

fof(f115,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ neq(X0,X1)
      | X0 != X1 ),
    file('/export/starexec/sandbox/tmp/tmp.q3qzao13iv/Vampire---4.8_29579',clause115) ).

fof(f284,plain,
    ( neq(nil,nil)
    | ~ spl0_2 ),
    inference(superposition,[],[f210,f234]) ).

fof(f234,plain,
    ( nil = sk4
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f232,plain,
    ( spl0_2
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f210,plain,
    neq(sk4,nil),
    inference(definition_unfolding,[],[f192,f190]) ).

fof(f192,axiom,
    neq(sk2,nil),
    file('/export/starexec/sandbox/tmp/tmp.q3qzao13iv/Vampire---4.8_29579',co1_7) ).

fof(f283,plain,
    ( ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f211,f280,f276]) ).

fof(f211,plain,
    ( ~ segmentP(sk4,sk3)
    | ~ singletonP(sk3) ),
    inference(definition_unfolding,[],[f207,f190,f191,f191]) ).

fof(f207,axiom,
    ( ~ segmentP(sk2,sk1)
    | ~ singletonP(sk1) ),
    file('/export/starexec/sandbox/tmp/tmp.q3qzao13iv/Vampire---4.8_29579',co1_22) ).

fof(f260,plain,
    ( spl0_7
    | spl0_2 ),
    inference(avatar_split_clause,[],[f198,f232,f257]) ).

fof(f198,axiom,
    ( nil = sk4
    | sk4 = app(app(sk6,sk3),sk7) ),
    file('/export/starexec/sandbox/tmp/tmp.q3qzao13iv/Vampire---4.8_29579',co1_13) ).

fof(f255,plain,
    ( spl0_6
    | spl0_2 ),
    inference(avatar_split_clause,[],[f197,f232,f252]) ).

fof(f197,axiom,
    ( nil = sk4
    | sk3 = cons(sk5,nil) ),
    file('/export/starexec/sandbox/tmp/tmp.q3qzao13iv/Vampire---4.8_29579',co1_12) ).

fof(f250,plain,
    ( spl0_5
    | spl0_2 ),
    inference(avatar_split_clause,[],[f196,f232,f247]) ).

fof(f196,axiom,
    ( nil = sk4
    | ssList(sk7) ),
    file('/export/starexec/sandbox/tmp/tmp.q3qzao13iv/Vampire---4.8_29579',co1_11) ).

fof(f245,plain,
    ( spl0_4
    | spl0_2 ),
    inference(avatar_split_clause,[],[f195,f232,f242]) ).

fof(f195,axiom,
    ( nil = sk4
    | ssList(sk6) ),
    file('/export/starexec/sandbox/tmp/tmp.q3qzao13iv/Vampire---4.8_29579',co1_10) ).

fof(f235,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f193,f232,f228]) ).

fof(f193,axiom,
    ( nil = sk4
    | ssItem(sk5) ),
    file('/export/starexec/sandbox/tmp/tmp.q3qzao13iv/Vampire---4.8_29579',co1_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWC384-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.15  % 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
% 0.14/0.36  % Computer : n023.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 20:30:38 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.q3qzao13iv/Vampire---4.8_29579
% 0.59/0.74  % (29846)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)
% 0.59/0.74  % (29845)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)
% 0.59/0.75  % (29839)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)
% 0.59/0.75  % (29841)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.75  % (29840)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)
% 0.59/0.75  % (29842)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)
% 0.59/0.75  % (29843)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)
% 0.59/0.75  % (29844)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)
% 0.59/0.75  % (29846)Refutation not found, incomplete strategy% (29846)------------------------------
% 0.59/0.75  % (29846)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (29846)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (29846)Memory used [KB]: 1191
% 0.59/0.75  % (29846)Time elapsed: 0.003 s
% 0.59/0.75  % (29846)Instructions burned: 5 (million)
% 0.59/0.75  % (29846)------------------------------
% 0.59/0.75  % (29846)------------------------------
% 0.59/0.75  % (29844)First to succeed.
% 0.59/0.75  % (29839)Refutation not found, incomplete strategy% (29839)------------------------------
% 0.59/0.75  % (29839)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (29839)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (29839)Memory used [KB]: 1221
% 0.59/0.75  % (29839)Time elapsed: 0.008 s
% 0.59/0.75  % (29839)Instructions burned: 11 (million)
% 0.59/0.75  % (29843)Refutation not found, incomplete strategy% (29843)------------------------------
% 0.59/0.75  % (29843)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (29843)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (29843)Memory used [KB]: 1284
% 0.59/0.75  % (29843)Time elapsed: 0.008 s
% 0.59/0.75  % (29843)Instructions burned: 13 (million)
% 0.59/0.75  % (29839)------------------------------
% 0.59/0.75  % (29839)------------------------------
% 0.59/0.75  % (29844)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29834"
% 0.59/0.75  % (29843)------------------------------
% 0.59/0.75  % (29843)------------------------------
% 0.59/0.75  % (29844)Refutation found. Thanks to Tanya!
% 0.59/0.75  % SZS status Unsatisfiable for Vampire---4
% 0.59/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.75  % (29844)------------------------------
% 0.59/0.75  % (29844)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (29844)Termination reason: Refutation
% 0.59/0.75  
% 0.59/0.75  % (29844)Memory used [KB]: 1255
% 0.59/0.75  % (29844)Time elapsed: 0.008 s
% 0.59/0.75  % (29844)Instructions burned: 11 (million)
% 0.59/0.75  % (29834)Success in time 0.386 s
% 0.59/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------