TSTP Solution File: SWC018-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC018-1 : 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 : n015.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 09:48:00 EDT 2024

% Result   : Unsatisfiable 0.61s 0.76s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   64 (  11 unt;   0 def)
%            Number of atoms       :  200 (  32 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  277 ( 141   ~; 132   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   5 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   26 (  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f364,plain,
    $false,
    inference(avatar_sat_refutation,[],[f222,f231,f232,f233,f330,f337,f357]) ).

fof(f357,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f356]) ).

fof(f356,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f355,f345]) ).

fof(f345,plain,
    ( frontsegP(nil,nil)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f341,f220]) ).

fof(f220,plain,
    ( nil = sk3
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f219,plain,
    ( spl0_2
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f341,plain,
    ( frontsegP(nil,sk3)
    | ~ spl0_1 ),
    inference(superposition,[],[f265,f217]) ).

fof(f217,plain,
    ( nil = sk4
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f215,plain,
    ( spl0_1
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f265,plain,
    frontsegP(sk4,sk3),
    inference(subsumption_resolution,[],[f264,f192]) ).

fof(f192,axiom,
    ssList(sk5),
    file('/export/starexec/sandbox2/tmp/tmp.wUtII0QYdh/Vampire---4.8_521',co1_7) ).

fof(f264,plain,
    ( frontsegP(sk4,sk3)
    | ~ ssList(sk5) ),
    inference(subsumption_resolution,[],[f263,f201]) ).

fof(f201,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/tmp/tmp.wUtII0QYdh/Vampire---4.8_521',co1_6) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox2/tmp/tmp.wUtII0QYdh/Vampire---4.8_521',co1_1) ).

fof(f263,plain,
    ( frontsegP(sk4,sk3)
    | ~ ssList(sk3)
    | ~ ssList(sk5) ),
    inference(subsumption_resolution,[],[f243,f202]) ).

fof(f202,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/tmp/tmp.wUtII0QYdh/Vampire---4.8_521',co1_5) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox2/tmp/tmp.wUtII0QYdh/Vampire---4.8_521',co1_2) ).

fof(f243,plain,
    ( frontsegP(sk4,sk3)
    | ~ ssList(sk4)
    | ~ ssList(sk3)
    | ~ ssList(sk5) ),
    inference(superposition,[],[f210,f193]) ).

fof(f193,axiom,
    sk4 = app(sk3,sk5),
    file('/export/starexec/sandbox2/tmp/tmp.wUtII0QYdh/Vampire---4.8_521',co1_8) ).

fof(f210,plain,
    ! [X0,X1] :
      ( frontsegP(app(X0,X1),X0)
      | ~ ssList(app(X0,X1))
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f144]) ).

fof(f144,axiom,
    ! [X2,X0,X1] :
      ( frontsegP(X2,X0)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | app(X0,X1) != X2 ),
    file('/export/starexec/sandbox2/tmp/tmp.wUtII0QYdh/Vampire---4.8_521',clause144) ).

fof(f355,plain,
    ( ~ frontsegP(nil,nil)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f354,f217]) ).

fof(f354,plain,
    ( ~ frontsegP(sk4,sk4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f353,f345]) ).

fof(f353,plain,
    ( ~ frontsegP(nil,nil)
    | ~ frontsegP(sk4,sk4)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f352,f220]) ).

fof(f352,plain,
    ( ~ frontsegP(sk3,nil)
    | ~ frontsegP(sk4,sk4)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f351,f217]) ).

fof(f351,plain,
    ( ~ frontsegP(sk3,sk4)
    | ~ frontsegP(sk4,sk4)
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f317,f202]) ).

fof(f317,plain,
    ( ~ ssList(sk4)
    | ~ frontsegP(sk3,sk4)
    | ~ frontsegP(sk4,sk4)
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(resolution,[],[f230,f226]) ).

fof(f226,plain,
    ( neq(sk4,nil)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f224,plain,
    ( spl0_3
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f230,plain,
    ( ! [X6] :
        ( ~ neq(X6,nil)
        | ~ ssList(X6)
        | ~ frontsegP(sk3,X6)
        | ~ frontsegP(sk4,X6) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f229,plain,
    ( spl0_4
  <=> ! [X6] :
        ( ~ frontsegP(sk3,X6)
        | ~ ssList(X6)
        | ~ neq(X6,nil)
        | ~ frontsegP(sk4,X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f337,plain,
    ( spl0_2
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f245,f215,f219]) ).

fof(f245,plain,
    ( nil != sk4
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f244,f192]) ).

fof(f244,plain,
    ( nil != sk4
    | ~ ssList(sk5)
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f235,f201]) ).

fof(f235,plain,
    ( nil != sk4
    | ~ ssList(sk3)
    | ~ ssList(sk5)
    | nil = sk3 ),
    inference(superposition,[],[f118,f193]) ).

fof(f118,axiom,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | nil = X0 ),
    file('/export/starexec/sandbox2/tmp/tmp.wUtII0QYdh/Vampire---4.8_521',clause118) ).

fof(f330,plain,
    ( spl0_2
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f327,f229,f219]) ).

fof(f327,plain,
    ( nil = sk3
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f324,f201]) ).

fof(f324,plain,
    ( ~ ssList(sk3)
    | nil = sk3
    | ~ spl0_4 ),
    inference(duplicate_literal_removal,[],[f322]) ).

fof(f322,plain,
    ( ~ ssList(sk3)
    | nil = sk3
    | ~ ssList(sk3)
    | ~ spl0_4 ),
    inference(resolution,[],[f320,f61]) ).

fof(f61,axiom,
    ! [X0] :
      ( frontsegP(X0,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.wUtII0QYdh/Vampire---4.8_521',clause61) ).

fof(f320,plain,
    ( ! [X0] :
        ( ~ frontsegP(sk3,X0)
        | ~ ssList(X0)
        | nil = X0 )
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f319,f256]) ).

fof(f256,plain,
    ! [X0] :
      ( frontsegP(sk4,X0)
      | ~ ssList(X0)
      | ~ frontsegP(sk3,X0) ),
    inference(subsumption_resolution,[],[f255,f192]) ).

fof(f255,plain,
    ! [X0] :
      ( frontsegP(sk4,X0)
      | ~ ssList(X0)
      | ~ ssList(sk5)
      | ~ frontsegP(sk3,X0) ),
    inference(subsumption_resolution,[],[f237,f201]) ).

fof(f237,plain,
    ! [X0] :
      ( frontsegP(sk4,X0)
      | ~ ssList(sk3)
      | ~ ssList(X0)
      | ~ ssList(sk5)
      | ~ frontsegP(sk3,X0) ),
    inference(superposition,[],[f137,f193]) ).

fof(f137,axiom,
    ! [X2,X0,X1] :
      ( frontsegP(app(X0,X2),X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ frontsegP(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.wUtII0QYdh/Vampire---4.8_521',clause137) ).

fof(f319,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | ~ frontsegP(sk3,X0)
        | ~ frontsegP(sk4,X0)
        | nil = X0 )
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f318,f8]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.wUtII0QYdh/Vampire---4.8_521',clause8) ).

fof(f318,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | ~ frontsegP(sk3,X0)
        | ~ frontsegP(sk4,X0)
        | nil = X0
        | ~ ssList(nil) )
    | ~ spl0_4 ),
    inference(duplicate_literal_removal,[],[f316]) ).

fof(f316,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | ~ frontsegP(sk3,X0)
        | ~ frontsegP(sk4,X0)
        | nil = X0
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl0_4 ),
    inference(resolution,[],[f230,f100]) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.wUtII0QYdh/Vampire---4.8_521',clause100) ).

fof(f233,plain,
    ( ~ spl0_2
    | spl0_4 ),
    inference(avatar_split_clause,[],[f206,f229,f219]) ).

fof(f206,plain,
    ! [X6] :
      ( ~ frontsegP(sk3,X6)
      | ~ frontsegP(sk4,X6)
      | ~ neq(X6,nil)
      | ~ ssList(X6)
      | nil != sk3 ),
    inference(definition_unfolding,[],[f200,f191,f190,f191]) ).

fof(f200,axiom,
    ! [X6] :
      ( ~ frontsegP(sk1,X6)
      | ~ frontsegP(sk2,X6)
      | ~ neq(X6,nil)
      | ~ ssList(X6)
      | nil != sk1 ),
    file('/export/starexec/sandbox2/tmp/tmp.wUtII0QYdh/Vampire---4.8_521',co1_15) ).

fof(f232,plain,
    ( ~ spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f205,f224,f219]) ).

fof(f205,plain,
    ( neq(sk4,nil)
    | nil != sk3 ),
    inference(definition_unfolding,[],[f199,f190,f191]) ).

fof(f199,axiom,
    ( neq(sk2,nil)
    | nil != sk1 ),
    file('/export/starexec/sandbox2/tmp/tmp.wUtII0QYdh/Vampire---4.8_521',co1_14) ).

fof(f231,plain,
    ( spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f204,f229,f215]) ).

fof(f204,plain,
    ! [X6] :
      ( ~ frontsegP(sk3,X6)
      | ~ frontsegP(sk4,X6)
      | ~ neq(X6,nil)
      | ~ ssList(X6)
      | nil = sk4 ),
    inference(definition_unfolding,[],[f198,f191,f190,f190]) ).

fof(f198,axiom,
    ! [X6] :
      ( ~ frontsegP(sk1,X6)
      | ~ frontsegP(sk2,X6)
      | ~ neq(X6,nil)
      | ~ ssList(X6)
      | nil = sk2 ),
    file('/export/starexec/sandbox2/tmp/tmp.wUtII0QYdh/Vampire---4.8_521',co1_13) ).

fof(f222,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f196,f219,f215]) ).

fof(f196,axiom,
    ( nil != sk3
    | nil = sk4 ),
    file('/export/starexec/sandbox2/tmp/tmp.wUtII0QYdh/Vampire---4.8_521',co1_11) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWC018-1 : TPTP v8.1.2. Released v2.4.0.
% 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 : n015.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 20:24:23 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.36  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.wUtII0QYdh/Vampire---4.8_521
% 0.60/0.76  % (748)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)
% 0.60/0.76  % (751)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)
% 0.60/0.76  % (742)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)
% 0.60/0.76  % (746)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)
% 0.60/0.76  % (743)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)
% 0.60/0.76  % (749)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)
% 0.60/0.76  % (744)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.76  % (750)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)
% 0.60/0.76  % (749)First to succeed.
% 0.61/0.76  % (749)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-709"
% 0.61/0.76  % (744)Also succeeded, but the first one will report.
% 0.61/0.76  % (746)Also succeeded, but the first one will report.
% 0.61/0.76  % (749)Refutation found. Thanks to Tanya!
% 0.61/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.76  % (749)------------------------------
% 0.61/0.76  % (749)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (749)Termination reason: Refutation
% 0.61/0.76  
% 0.61/0.76  % (749)Memory used [KB]: 1223
% 0.61/0.76  % (749)Time elapsed: 0.007 s
% 0.61/0.76  % (749)Instructions burned: 8 (million)
% 0.61/0.76  % (709)Success in time 0.389 s
% 0.61/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------