TSTP Solution File: SWC386-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC386-1 : 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 04:01:50 EDT 2024

% Result   : Unsatisfiable 0.56s 0.75s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   53 (   5 unt;   0 def)
%            Number of atoms       :  135 (  27 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  162 (  80   ~;  75   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   8 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f277,plain,
    $false,
    inference(avatar_sat_refutation,[],[f226,f231,f236,f241,f243,f252,f253,f254,f263,f270,f276]) ).

fof(f276,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f275]) ).

fof(f275,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f274,f240]) ).

fof(f240,plain,
    ( memberP(sk4,sk5)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f238,plain,
    ( spl0_5
  <=> memberP(sk4,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f274,plain,
    ( ~ memberP(sk4,sk5)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f273,f221]) ).

fof(f221,plain,
    ( ssItem(sk5)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f219,plain,
    ( spl0_1
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f273,plain,
    ( ~ ssItem(sk5)
    | ~ memberP(sk4,sk5)
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f272]) ).

fof(f272,plain,
    ( sk3 != sk3
    | ~ ssItem(sk5)
    | ~ memberP(sk4,sk5)
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(superposition,[],[f251,f235]) ).

fof(f235,plain,
    ( sk3 = cons(sk5,nil)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f233,plain,
    ( spl0_4
  <=> sk3 = cons(sk5,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f251,plain,
    ( ! [X6] :
        ( sk3 != cons(X6,nil)
        | ~ ssItem(X6)
        | ~ memberP(sk4,X6) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f250,plain,
    ( spl0_7
  <=> ! [X6] :
        ( ~ memberP(sk4,X6)
        | ~ ssItem(X6)
        | sk3 != cons(X6,nil) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f270,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f269]) ).

fof(f269,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f268,f221]) ).

fof(f268,plain,
    ( ~ ssItem(sk5)
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(resolution,[],[f266,f71]) ).

fof(f71,axiom,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.ID2P8xXr6Z/Vampire---4.8_12483',clause71) ).

fof(f266,plain,
    ( memberP(nil,sk5)
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f240,f225]) ).

fof(f225,plain,
    ( nil = sk4
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f223]) ).

fof(f223,plain,
    ( spl0_2
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f263,plain,
    ( ~ spl0_2
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f262]) ).

fof(f262,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f261,f259]) ).

fof(f259,plain,
    ( neq(nil,nil)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(backward_demodulation,[],[f247,f225]) ).

fof(f247,plain,
    ( neq(sk4,nil)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f245,plain,
    ( spl0_6
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f261,plain,
    ~ neq(nil,nil),
    inference(resolution,[],[f215,f8]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.ID2P8xXr6Z/Vampire---4.8_12483',clause8) ).

fof(f215,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ neq(X1,X1) ),
    inference(duplicate_literal_removal,[],[f211]) ).

fof(f211,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.ID2P8xXr6Z/Vampire---4.8_12483',clause115) ).

fof(f254,plain,
    ( ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f207,f250,f228]) ).

fof(f228,plain,
    ( spl0_3
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f207,plain,
    ! [X6] :
      ( ~ memberP(sk4,X6)
      | sk3 != cons(X6,nil)
      | ~ ssItem(X6)
      | nil != sk3 ),
    inference(definition_unfolding,[],[f201,f190,f191,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/tmp/tmp.ID2P8xXr6Z/Vampire---4.8_12483',co1_6) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/tmp/tmp.ID2P8xXr6Z/Vampire---4.8_12483',co1_5) ).

fof(f201,axiom,
    ! [X6] :
      ( ~ memberP(sk2,X6)
      | sk1 != cons(X6,nil)
      | ~ ssItem(X6)
      | nil != sk1 ),
    file('/export/starexec/sandbox2/tmp/tmp.ID2P8xXr6Z/Vampire---4.8_12483',co1_16) ).

fof(f253,plain,
    ( ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f206,f245,f228]) ).

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

fof(f200,axiom,
    ( neq(sk2,nil)
    | nil != sk1 ),
    file('/export/starexec/sandbox2/tmp/tmp.ID2P8xXr6Z/Vampire---4.8_12483',co1_15) ).

fof(f252,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_split_clause,[],[f205,f250,f223]) ).

fof(f205,plain,
    ! [X6] :
      ( ~ memberP(sk4,X6)
      | sk3 != cons(X6,nil)
      | ~ ssItem(X6)
      | nil = sk4 ),
    inference(definition_unfolding,[],[f199,f190,f191,f190]) ).

fof(f199,axiom,
    ! [X6] :
      ( ~ memberP(sk2,X6)
      | sk1 != cons(X6,nil)
      | ~ ssItem(X6)
      | nil = sk2 ),
    file('/export/starexec/sandbox2/tmp/tmp.ID2P8xXr6Z/Vampire---4.8_12483',co1_14) ).

fof(f243,plain,
    ( spl0_5
    | spl0_3 ),
    inference(avatar_split_clause,[],[f197,f228,f238]) ).

fof(f197,axiom,
    ( nil = sk3
    | memberP(sk4,sk5) ),
    file('/export/starexec/sandbox2/tmp/tmp.ID2P8xXr6Z/Vampire---4.8_12483',co1_12) ).

fof(f241,plain,
    ( spl0_5
    | spl0_2 ),
    inference(avatar_split_clause,[],[f195,f223,f238]) ).

fof(f195,axiom,
    ( nil = sk4
    | memberP(sk4,sk5) ),
    file('/export/starexec/sandbox2/tmp/tmp.ID2P8xXr6Z/Vampire---4.8_12483',co1_10) ).

fof(f236,plain,
    ( spl0_4
    | spl0_2 ),
    inference(avatar_split_clause,[],[f194,f223,f233]) ).

fof(f194,axiom,
    ( nil = sk4
    | sk3 = cons(sk5,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.ID2P8xXr6Z/Vampire---4.8_12483',co1_9) ).

fof(f231,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f193,f228,f219]) ).

fof(f193,axiom,
    ( nil = sk3
    | ssItem(sk5) ),
    file('/export/starexec/sandbox2/tmp/tmp.ID2P8xXr6Z/Vampire---4.8_12483',co1_8) ).

fof(f226,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f192,f223,f219]) ).

fof(f192,axiom,
    ( nil = sk4
    | ssItem(sk5) ),
    file('/export/starexec/sandbox2/tmp/tmp.ID2P8xXr6Z/Vampire---4.8_12483',co1_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWC386-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.14  % 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
% 0.15/0.35  % Computer : n014.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Apr 30 18:12:33 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  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.ID2P8xXr6Z/Vampire---4.8_12483
% 0.56/0.74  % (12676)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)
% 0.56/0.74  % (12679)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)
% 0.56/0.74  % (12672)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)
% 0.56/0.74  % (12674)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74  % (12673)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)
% 0.56/0.74  % (12675)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)
% 0.56/0.74  % (12677)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)
% 0.56/0.74  % (12678)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)
% 0.56/0.74  % (12679)Refutation not found, incomplete strategy% (12679)------------------------------
% 0.56/0.74  % (12679)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74  % (12679)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (12679)Memory used [KB]: 1189
% 0.56/0.74  % (12679)Time elapsed: 0.002 s
% 0.56/0.74  % (12679)Instructions burned: 4 (million)
% 0.56/0.74  % (12679)------------------------------
% 0.56/0.74  % (12679)------------------------------
% 0.56/0.74  % (12674)First to succeed.
% 0.56/0.74  % (12675)Also succeeded, but the first one will report.
% 0.56/0.75  % (12677)Also succeeded, but the first one will report.
% 0.56/0.75  % (12674)Refutation found. Thanks to Tanya!
% 0.56/0.75  % SZS status Unsatisfiable for Vampire---4
% 0.56/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75  % (12674)------------------------------
% 0.56/0.75  % (12674)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75  % (12674)Termination reason: Refutation
% 0.56/0.75  
% 0.56/0.75  % (12674)Memory used [KB]: 1206
% 0.56/0.75  % (12674)Time elapsed: 0.006 s
% 0.56/0.75  % (12674)Instructions burned: 6 (million)
% 0.56/0.75  % (12674)------------------------------
% 0.56/0.75  % (12674)------------------------------
% 0.56/0.75  % (12650)Success in time 0.379 s
% 0.56/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------