TSTP Solution File: SWC389-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC389-1 : 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 : n018.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 04:01:51 EDT 2024

% Result   : Unsatisfiable 0.62s 0.80s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   29
% Syntax   : Number of formulae    :   82 (   8 unt;   0 def)
%            Number of atoms       :  217 (  26 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  257 ( 122   ~; 125   |;   0   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   17 (  15 usr;  11 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f514,plain,
    $false,
    inference(avatar_sat_refutation,[],[f235,f240,f255,f269,f270,f271,f272,f283,f288,f311,f319,f349,f403,f460]) ).

fof(f460,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f459]) ).

fof(f459,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | spl0_10 ),
    inference(subsumption_resolution,[],[f458,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(f458,plain,
    ( ~ ssList(sk7)
    | ~ spl0_4
    | ~ spl0_7
    | spl0_10 ),
    inference(subsumption_resolution,[],[f457,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(f457,plain,
    ( ~ ssList(sk6)
    | ~ ssList(sk7)
    | ~ spl0_7
    | spl0_10 ),
    inference(subsumption_resolution,[],[f456,f208]) ).

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

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/tmp/tmp.k5QenJPdjE/Vampire---4.8_25192',co1_6) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox2/tmp/tmp.k5QenJPdjE/Vampire---4.8_25192',co1_1) ).

fof(f456,plain,
    ( ~ ssList(sk3)
    | ~ ssList(sk6)
    | ~ ssList(sk7)
    | ~ spl0_7
    | spl0_10 ),
    inference(subsumption_resolution,[],[f455,f209]) ).

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

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/tmp/tmp.k5QenJPdjE/Vampire---4.8_25192',co1_5) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox2/tmp/tmp.k5QenJPdjE/Vampire---4.8_25192',co1_2) ).

fof(f455,plain,
    ( ~ ssList(sk4)
    | ~ ssList(sk3)
    | ~ ssList(sk6)
    | ~ ssList(sk7)
    | ~ spl0_7
    | spl0_10 ),
    inference(subsumption_resolution,[],[f433,f278]) ).

fof(f278,plain,
    ( ~ segmentP(sk4,sk3)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f276]) ).

fof(f276,plain,
    ( spl0_10
  <=> segmentP(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f433,plain,
    ( segmentP(sk4,sk3)
    | ~ ssList(sk4)
    | ~ ssList(sk3)
    | ~ ssList(sk6)
    | ~ ssList(sk7)
    | ~ spl0_7 ),
    inference(superposition,[],[f217,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(f217,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/sandbox2/tmp/tmp.k5QenJPdjE/Vampire---4.8_25192',clause173) ).

fof(f403,plain,
    ( spl0_12
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f402,f252,f228,f285]) ).

fof(f285,plain,
    ( spl0_12
  <=> singletonP(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

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(f402,plain,
    ( singletonP(sk3)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f401,f230]) ).

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

fof(f401,plain,
    ( singletonP(sk3)
    | ~ ssItem(sk5)
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f369,f208]) ).

fof(f369,plain,
    ( singletonP(sk3)
    | ~ ssList(sk3)
    | ~ ssItem(sk5)
    | ~ spl0_6 ),
    inference(superposition,[],[f221,f254]) ).

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

fof(f221,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/sandbox2/tmp/tmp.k5QenJPdjE/Vampire---4.8_25192',clause116) ).

fof(f349,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f348]) ).

fof(f348,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f347,f8]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.k5QenJPdjE/Vampire---4.8_25192',clause8) ).

fof(f347,plain,
    ( ~ ssList(nil)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f337,f230]) ).

fof(f337,plain,
    ( ~ ssItem(sk5)
    | ~ ssList(nil)
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f327]) ).

fof(f327,plain,
    ( nil != nil
    | ~ ssItem(sk5)
    | ~ ssList(nil)
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(superposition,[],[f99,f321]) ).

fof(f321,plain,
    ( nil = cons(sk5,nil)
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f254,f239]) ).

fof(f239,plain,
    ( nil = sk3
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f237,plain,
    ( spl0_3
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f99,axiom,
    ! [X0,X1] :
      ( cons(X0,X1) != X1
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.k5QenJPdjE/Vampire---4.8_25192',clause99) ).

fof(f319,plain,
    ( ~ spl0_2
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f318]) ).

fof(f318,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f316,f8]) ).

fof(f316,plain,
    ( ~ ssList(nil)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(resolution,[],[f313,f226]) ).

fof(f226,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f220]) ).

fof(f220,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/sandbox2/tmp/tmp.k5QenJPdjE/Vampire---4.8_25192',clause115) ).

fof(f313,plain,
    ( neq(nil,nil)
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f282,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(f282,plain,
    ( neq(sk4,nil)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f280]) ).

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

fof(f311,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f310]) ).

fof(f310,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(subsumption_resolution,[],[f304,f8]) ).

fof(f304,plain,
    ( ~ ssList(nil)
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(resolution,[],[f299,f57]) ).

fof(f57,axiom,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.k5QenJPdjE/Vampire---4.8_25192',clause57) ).

fof(f299,plain,
    ( ~ segmentP(nil,nil)
    | ~ spl0_2
    | ~ spl0_3
    | spl0_10 ),
    inference(forward_demodulation,[],[f292,f239]) ).

fof(f292,plain,
    ( ~ segmentP(nil,sk3)
    | ~ spl0_2
    | spl0_10 ),
    inference(superposition,[],[f278,f234]) ).

fof(f288,plain,
    ( ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f211,f285,f276]) ).

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

fof(f207,axiom,
    ( ~ singletonP(sk1)
    | ~ segmentP(sk2,sk1) ),
    file('/export/starexec/sandbox2/tmp/tmp.k5QenJPdjE/Vampire---4.8_25192',co1_22) ).

fof(f283,plain,
    ( ~ spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f210,f280,f276]) ).

fof(f210,plain,
    ( neq(sk4,nil)
    | ~ segmentP(sk4,sk3) ),
    inference(definition_unfolding,[],[f206,f190,f190,f191]) ).

fof(f206,axiom,
    ( neq(sk2,nil)
    | ~ segmentP(sk2,sk1) ),
    file('/export/starexec/sandbox2/tmp/tmp.k5QenJPdjE/Vampire---4.8_25192',co1_21) ).

fof(f272,plain,
    ( spl0_7
    | spl0_3 ),
    inference(avatar_split_clause,[],[f203,f237,f257]) ).

fof(f203,axiom,
    ( nil = sk3
    | sk4 = app(app(sk6,sk3),sk7) ),
    file('/export/starexec/sandbox2/tmp/tmp.k5QenJPdjE/Vampire---4.8_25192',co1_18) ).

fof(f271,plain,
    ( spl0_6
    | spl0_3 ),
    inference(avatar_split_clause,[],[f202,f237,f252]) ).

fof(f202,axiom,
    ( nil = sk3
    | sk3 = cons(sk5,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.k5QenJPdjE/Vampire---4.8_25192',co1_17) ).

fof(f270,plain,
    ( spl0_5
    | spl0_3 ),
    inference(avatar_split_clause,[],[f201,f237,f247]) ).

fof(f201,axiom,
    ( nil = sk3
    | ssList(sk7) ),
    file('/export/starexec/sandbox2/tmp/tmp.k5QenJPdjE/Vampire---4.8_25192',co1_16) ).

fof(f269,plain,
    ( spl0_4
    | spl0_3 ),
    inference(avatar_split_clause,[],[f200,f237,f242]) ).

fof(f200,axiom,
    ( nil = sk3
    | ssList(sk6) ),
    file('/export/starexec/sandbox2/tmp/tmp.k5QenJPdjE/Vampire---4.8_25192',co1_15) ).

fof(f255,plain,
    ( spl0_6
    | spl0_2 ),
    inference(avatar_split_clause,[],[f196,f232,f252]) ).

fof(f196,axiom,
    ( nil = sk4
    | sk3 = cons(sk5,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.k5QenJPdjE/Vampire---4.8_25192',co1_11) ).

fof(f240,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f193,f237,f228]) ).

fof(f193,axiom,
    ( nil = sk3
    | ssItem(sk5) ),
    file('/export/starexec/sandbox2/tmp/tmp.k5QenJPdjE/Vampire---4.8_25192',co1_8) ).

fof(f235,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f192,f232,f228]) ).

fof(f192,axiom,
    ( nil = sk4
    | ssItem(sk5) ),
    file('/export/starexec/sandbox2/tmp/tmp.k5QenJPdjE/Vampire---4.8_25192',co1_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWC389-1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n018.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   : Tue Apr 30 18:31:59 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_SEQ_NHN 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.k5QenJPdjE/Vampire---4.8_25192
% 0.62/0.79  % (25386)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)
% 0.62/0.79  % (25388)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.79  % (25387)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)
% 0.62/0.79  % (25389)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)
% 0.62/0.79  % (25391)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)
% 0.62/0.79  % (25390)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)
% 0.62/0.79  % (25392)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)
% 0.62/0.79  % (25393)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)
% 0.62/0.80  % (25391)First to succeed.
% 0.62/0.80  % (25391)Refutation found. Thanks to Tanya!
% 0.62/0.80  % SZS status Unsatisfiable for Vampire---4
% 0.62/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.80  % (25391)------------------------------
% 0.62/0.80  % (25391)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (25391)Termination reason: Refutation
% 0.62/0.80  
% 0.62/0.80  % (25391)Memory used [KB]: 1262
% 0.62/0.80  % (25391)Time elapsed: 0.009 s
% 0.62/0.80  % (25391)Instructions burned: 12 (million)
% 0.62/0.80  % (25391)------------------------------
% 0.62/0.80  % (25391)------------------------------
% 0.62/0.80  % (25356)Success in time 0.424 s
% 0.62/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------