TSTP Solution File: SWC118-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC118-1 : 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 : n014.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 03:59:54 EDT 2024

% Result   : Unsatisfiable 0.59s 0.76s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   39 (  13 unt;   0 def)
%            Number of atoms       :   86 (  15 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   89 (  42   ~;  43   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   5 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f343,plain,
    $false,
    inference(avatar_sat_refutation,[],[f224,f225,f234,f326,f332]) ).

fof(f332,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f331]) ).

fof(f331,plain,
    ( $false
    | spl0_2
    | spl0_3 ),
    inference(subsumption_resolution,[],[f330,f8]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.rPoauOIAx1/Vampire---4.8_17476',clause8) ).

fof(f330,plain,
    ( ~ ssList(nil)
    | spl0_2
    | spl0_3 ),
    inference(subsumption_resolution,[],[f329,f201]) ).

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

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/tmp/tmp.rPoauOIAx1/Vampire---4.8_17476',co1_6) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox2/tmp/tmp.rPoauOIAx1/Vampire---4.8_17476',co1_1) ).

fof(f329,plain,
    ( ~ ssList(sk3)
    | ~ ssList(nil)
    | spl0_2
    | spl0_3 ),
    inference(subsumption_resolution,[],[f327,f223]) ).

fof(f223,plain,
    ( nil != sk3
    | spl0_2 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f221,plain,
    ( spl0_2
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f327,plain,
    ( nil = sk3
    | ~ ssList(sk3)
    | ~ ssList(nil)
    | spl0_3 ),
    inference(resolution,[],[f229,f100]) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.rPoauOIAx1/Vampire---4.8_17476',clause100) ).

fof(f229,plain,
    ( ~ neq(sk3,nil)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f227,plain,
    ( spl0_3
  <=> neq(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f326,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f325,f231]) ).

fof(f231,plain,
    ( spl0_4
  <=> segmentP(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f325,plain,
    segmentP(sk4,sk3),
    inference(subsumption_resolution,[],[f324,f193]) ).

fof(f193,axiom,
    ssList(sk6),
    file('/export/starexec/sandbox2/tmp/tmp.rPoauOIAx1/Vampire---4.8_17476',co1_8) ).

fof(f324,plain,
    ( segmentP(sk4,sk3)
    | ~ ssList(sk6) ),
    inference(subsumption_resolution,[],[f323,f192]) ).

fof(f192,axiom,
    ssList(sk5),
    file('/export/starexec/sandbox2/tmp/tmp.rPoauOIAx1/Vampire---4.8_17476',co1_7) ).

fof(f323,plain,
    ( segmentP(sk4,sk3)
    | ~ ssList(sk5)
    | ~ ssList(sk6) ),
    inference(subsumption_resolution,[],[f322,f201]) ).

fof(f322,plain,
    ( segmentP(sk4,sk3)
    | ~ ssList(sk3)
    | ~ ssList(sk5)
    | ~ ssList(sk6) ),
    inference(subsumption_resolution,[],[f240,f202]) ).

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

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/tmp/tmp.rPoauOIAx1/Vampire---4.8_17476',co1_5) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox2/tmp/tmp.rPoauOIAx1/Vampire---4.8_17476',co1_2) ).

fof(f240,plain,
    ( segmentP(sk4,sk3)
    | ~ ssList(sk4)
    | ~ ssList(sk3)
    | ~ ssList(sk5)
    | ~ ssList(sk6) ),
    inference(superposition,[],[f209,f194]) ).

fof(f194,axiom,
    sk4 = app(app(sk5,sk3),sk6),
    file('/export/starexec/sandbox2/tmp/tmp.rPoauOIAx1/Vampire---4.8_17476',co1_9) ).

fof(f209,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.rPoauOIAx1/Vampire---4.8_17476',clause173) ).

fof(f234,plain,
    ( ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f204,f231,f227]) ).

fof(f204,plain,
    ( ~ segmentP(sk4,sk3)
    | ~ neq(sk3,nil) ),
    inference(definition_unfolding,[],[f200,f190,f191,f191]) ).

fof(f200,axiom,
    ( ~ segmentP(sk2,sk1)
    | ~ neq(sk1,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.rPoauOIAx1/Vampire---4.8_17476',co1_15) ).

fof(f225,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f203,f221,f217]) ).

fof(f217,plain,
    ( spl0_1
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f203,plain,
    ( nil != sk3
    | nil != sk4 ),
    inference(definition_unfolding,[],[f199,f191,f190]) ).

fof(f199,axiom,
    ( nil != sk1
    | nil != sk2 ),
    file('/export/starexec/sandbox2/tmp/tmp.rPoauOIAx1/Vampire---4.8_17476',co1_14) ).

fof(f224,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f198,f221,f217]) ).

fof(f198,axiom,
    ( nil != sk3
    | nil = sk4 ),
    file('/export/starexec/sandbox2/tmp/tmp.rPoauOIAx1/Vampire---4.8_17476',co1_13) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.13  % Problem    : SWC118-1 : TPTP v8.1.2. Released v2.4.0.
% 0.14/0.15  % 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
% 0.16/0.36  % Computer : n014.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 18:13:34 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.16/0.36  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.rPoauOIAx1/Vampire---4.8_17476
% 0.56/0.75  % (17662)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)
% 0.56/0.75  % (17664)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)
% 0.56/0.75  % (17657)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)
% 0.56/0.75  % (17659)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75  % (17658)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)
% 0.56/0.75  % (17660)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)
% 0.56/0.75  % (17661)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)
% 0.56/0.75  % (17663)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)
% 0.56/0.75  % (17662)First to succeed.
% 0.59/0.76  % (17662)Refutation found. Thanks to Tanya!
% 0.59/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.59/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.76  % (17662)------------------------------
% 0.59/0.76  % (17662)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76  % (17662)Termination reason: Refutation
% 0.59/0.76  
% 0.59/0.76  % (17662)Memory used [KB]: 1217
% 0.59/0.76  % (17662)Time elapsed: 0.004 s
% 0.59/0.76  % (17662)Instructions burned: 7 (million)
% 0.59/0.76  % (17662)------------------------------
% 0.59/0.76  % (17662)------------------------------
% 0.59/0.76  % (17641)Success in time 0.382 s
% 0.59/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------