TSTP Solution File: SWC308-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC308-1 : 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 : n028.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 09:50:11 EDT 2024

% Result   : Unsatisfiable 0.57s 0.78s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   68 (  13 unt;   0 def)
%            Number of atoms       :  217 (  48 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  287 ( 138   ~; 140   |;   0   &)
%                                         (   9 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   14 (  12 usr;  10 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   34 (  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f423,plain,
    $false,
    inference(avatar_sat_refutation,[],[f267,f282,f302,f304,f381,f385,f399,f405,f410,f422]) ).

fof(f422,plain,
    ( ~ spl0_11
    | ~ spl0_12
    | spl0_10
    | spl0_8 ),
    inference(avatar_split_clause,[],[f412,f264,f273,f290,f286]) ).

fof(f286,plain,
    ( spl0_11
  <=> ssList(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f290,plain,
    ( spl0_12
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f273,plain,
    ( spl0_10
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f264,plain,
    ( spl0_8
  <=> neq(nil,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f412,plain,
    ( nil = sk4
    | ~ ssList(nil)
    | ~ ssList(sk4)
    | spl0_8 ),
    inference(resolution,[],[f266,f100]) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.0ZvI1BVreN/Vampire---4.8_25685',clause100) ).

fof(f266,plain,
    ( ~ neq(nil,sk4)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f410,plain,
    ( ~ spl0_7
    | ~ spl0_12
    | spl0_6 ),
    inference(avatar_split_clause,[],[f409,f256,f290,f260]) ).

fof(f260,plain,
    ( spl0_7
  <=> ssItem(hd(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f256,plain,
    ( spl0_6
  <=> ssList(cons(hd(sk4),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f409,plain,
    ( ~ ssList(nil)
    | ~ ssItem(hd(sk4))
    | spl0_6 ),
    inference(resolution,[],[f258,f86]) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.0ZvI1BVreN/Vampire---4.8_25685',clause86) ).

fof(f258,plain,
    ( ~ ssList(cons(hd(sk4),nil))
    | spl0_6 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f405,plain,
    ( ~ spl0_11
    | spl0_10
    | spl0_5 ),
    inference(avatar_split_clause,[],[f404,f252,f273,f286]) ).

fof(f252,plain,
    ( spl0_5
  <=> ssList(tl(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f404,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | spl0_5 ),
    inference(resolution,[],[f254,f75]) ).

fof(f75,axiom,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.0ZvI1BVreN/Vampire---4.8_25685',clause75) ).

fof(f254,plain,
    ( ~ ssList(tl(sk4))
    | spl0_5 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f399,plain,
    ( ~ spl0_12
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f397,f273,f290]) ).

fof(f397,plain,
    ( ~ ssList(nil)
    | ~ spl0_10 ),
    inference(resolution,[],[f393,f233]) ).

fof(f233,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f206]) ).

fof(f206,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.0ZvI1BVreN/Vampire---4.8_25685',clause115) ).

fof(f393,plain,
    ( neq(nil,nil)
    | ~ spl0_10 ),
    inference(superposition,[],[f198,f274]) ).

fof(f274,plain,
    ( nil = sk4
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f198,plain,
    neq(sk4,nil),
    inference(definition_unfolding,[],[f192,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/tmp/tmp.0ZvI1BVreN/Vampire---4.8_25685',co1_5) ).

fof(f192,axiom,
    neq(sk2,nil),
    file('/export/starexec/sandbox2/tmp/tmp.0ZvI1BVreN/Vampire---4.8_25685',co1_7) ).

fof(f385,plain,
    ( ~ spl0_11
    | spl0_10
    | spl0_7 ),
    inference(avatar_split_clause,[],[f382,f260,f273,f286]) ).

fof(f382,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | spl0_7 ),
    inference(resolution,[],[f262,f76]) ).

fof(f76,axiom,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.0ZvI1BVreN/Vampire---4.8_25685',clause76) ).

fof(f262,plain,
    ( ~ ssItem(hd(sk4))
    | spl0_7 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f381,plain,
    ( ~ spl0_11
    | spl0_10
    | ~ spl0_7
    | ~ spl0_5
    | spl0_4 ),
    inference(avatar_split_clause,[],[f380,f248,f252,f260,f273,f286]) ).

fof(f248,plain,
    ( spl0_4
  <=> sk3 = app(tl(sk4),cons(hd(sk4),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f380,plain,
    ( sk3 = app(tl(sk4),cons(hd(sk4),nil))
    | ~ ssList(tl(sk4))
    | ~ ssItem(hd(sk4))
    | nil = sk4
    | ~ ssList(sk4) ),
    inference(equality_resolution,[],[f378]) ).

fof(f378,plain,
    ! [X0] :
      ( sk4 != X0
      | sk3 = app(tl(X0),cons(hd(X0),nil))
      | ~ ssList(tl(X0))
      | ~ ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(superposition,[],[f377,f104]) ).

fof(f104,axiom,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.0ZvI1BVreN/Vampire---4.8_25685',clause104) ).

fof(f377,plain,
    ! [X0,X1] :
      ( cons(X0,X1) != sk4
      | sk3 = app(X1,cons(X0,nil))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(duplicate_literal_removal,[],[f370]) ).

fof(f370,plain,
    ! [X0,X1] :
      ( cons(X0,X1) != sk4
      | sk3 = app(X1,cons(X0,nil))
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(superposition,[],[f194,f120]) ).

fof(f120,axiom,
    ! [X0,X1] :
      ( cons(X0,X1) = app(cons(X0,nil),X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.0ZvI1BVreN/Vampire---4.8_25685',clause120) ).

fof(f194,axiom,
    ! [X6,X7] :
      ( sk4 != app(cons(X6,nil),X7)
      | sk3 = app(X7,cons(X6,nil))
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.0ZvI1BVreN/Vampire---4.8_25685',co1_9) ).

fof(f304,plain,
    spl0_12,
    inference(avatar_contradiction_clause,[],[f303]) ).

fof(f303,plain,
    ( $false
    | spl0_12 ),
    inference(resolution,[],[f292,f8]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.0ZvI1BVreN/Vampire---4.8_25685',clause8) ).

fof(f292,plain,
    ( ~ ssList(nil)
    | spl0_12 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f302,plain,
    spl0_11,
    inference(avatar_contradiction_clause,[],[f301]) ).

fof(f301,plain,
    ( $false
    | spl0_11 ),
    inference(resolution,[],[f288,f197]) ).

fof(f197,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox2/tmp/tmp.0ZvI1BVreN/Vampire---4.8_25685',co1_2) ).

fof(f288,plain,
    ( ~ ssList(sk4)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f282,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f281]) ).

fof(f281,plain,
    ( $false
    | spl0_3 ),
    inference(resolution,[],[f246,f196]) ).

fof(f196,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/tmp/tmp.0ZvI1BVreN/Vampire---4.8_25685',co1_6) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox2/tmp/tmp.0ZvI1BVreN/Vampire---4.8_25685',co1_1) ).

fof(f246,plain,
    ( ~ ssList(sk3)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f244,plain,
    ( spl0_3
  <=> ssList(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f267,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f242,f264,f260,f256,f252,f248,f244]) ).

fof(f242,plain,
    ( ~ neq(nil,sk4)
    | ~ ssItem(hd(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | ~ ssList(tl(sk4))
    | sk3 != app(tl(sk4),cons(hd(sk4),nil))
    | ~ ssList(sk3) ),
    inference(inner_rewriting,[],[f228]) ).

fof(f228,plain,
    ( ~ neq(nil,sk4)
    | ~ ssItem(hd(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | ~ ssList(tl(sk4))
    | sk3 != app(tl(sk4),cons(hd(sk4),nil))
    | ~ ssList(app(tl(sk4),cons(hd(sk4),nil))) ),
    inference(duplicate_literal_removal,[],[f227]) ).

fof(f227,plain,
    ( ~ neq(nil,sk4)
    | ~ neq(nil,sk4)
    | ~ ssItem(hd(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | ~ ssList(tl(sk4))
    | sk3 != app(tl(sk4),cons(hd(sk4),nil))
    | ~ ssList(app(tl(sk4),cons(hd(sk4),nil))) ),
    inference(equality_resolution,[],[f226]) ).

fof(f226,plain,
    ! [X7] :
      ( ~ neq(nil,sk4)
      | ~ neq(nil,sk4)
      | ~ ssItem(hd(sk4))
      | tl(sk4) != X7
      | ~ ssList(cons(hd(sk4),nil))
      | ~ ssList(X7)
      | sk3 != app(X7,cons(hd(sk4),nil))
      | ~ ssList(app(X7,cons(hd(sk4),nil))) ),
    inference(equality_resolution,[],[f225]) ).

fof(f225,plain,
    ! [X6,X7] :
      ( ~ neq(nil,sk4)
      | ~ neq(nil,sk4)
      | ~ ssItem(hd(sk4))
      | app(X7,cons(hd(sk4),nil)) != X6
      | tl(sk4) != X7
      | ~ ssList(cons(hd(sk4),nil))
      | ~ ssList(X7)
      | sk3 != X6
      | ~ ssList(X6) ),
    inference(equality_resolution,[],[f224]) ).

fof(f224,plain,
    ! [X8,X6,X7] :
      ( ~ neq(nil,sk4)
      | ~ neq(nil,sk4)
      | cons(hd(sk4),nil) != X8
      | ~ ssItem(hd(sk4))
      | app(X7,X8) != X6
      | tl(sk4) != X7
      | ~ ssList(X8)
      | ~ ssList(X7)
      | sk3 != X6
      | ~ ssList(X6) ),
    inference(equality_resolution,[],[f199]) ).

fof(f199,plain,
    ! [X8,X6,X9,X7] :
      ( ~ neq(nil,sk4)
      | ~ neq(nil,sk4)
      | hd(sk4) != X9
      | cons(X9,nil) != X8
      | ~ ssItem(X9)
      | app(X7,X8) != X6
      | tl(sk4) != X7
      | ~ ssList(X8)
      | ~ ssList(X7)
      | sk3 != X6
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f193,f190,f190,f190,f190,f191]) ).

fof(f193,axiom,
    ! [X8,X6,X9,X7] :
      ( ~ neq(nil,sk2)
      | ~ neq(nil,sk2)
      | hd(sk2) != X9
      | cons(X9,nil) != X8
      | ~ ssItem(X9)
      | app(X7,X8) != X6
      | tl(sk2) != X7
      | ~ ssList(X8)
      | ~ ssList(X7)
      | sk1 != X6
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.0ZvI1BVreN/Vampire---4.8_25685',co1_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWC308-1 : 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
% 0.14/0.35  % Computer : n028.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % 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 20:27:08 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.0ZvI1BVreN/Vampire---4.8_25685
% 0.57/0.77  % (25878)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)
% 0.57/0.77  % (25880)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.57/0.77  % (25881)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)
% 0.57/0.77  % (25879)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)
% 0.57/0.77  % (25882)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)
% 0.57/0.77  % (25883)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)
% 0.57/0.77  % (25885)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)
% 0.57/0.77  % (25884)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)
% 0.57/0.77  % (25885)Refutation not found, incomplete strategy% (25885)------------------------------
% 0.57/0.77  % (25885)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77  % (25885)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.77  
% 0.57/0.77  % (25885)Memory used [KB]: 1193
% 0.57/0.77  % (25885)Time elapsed: 0.004 s
% 0.57/0.77  % (25885)Instructions burned: 4 (million)
% 0.57/0.77  % (25885)------------------------------
% 0.57/0.77  % (25885)------------------------------
% 0.57/0.78  % (25886)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.57/0.78  % (25879)First to succeed.
% 0.57/0.78  % (25882)Refutation not found, incomplete strategy% (25882)------------------------------
% 0.57/0.78  % (25882)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78  % (25882)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78  
% 0.57/0.78  % (25882)Memory used [KB]: 1400
% 0.57/0.78  % (25882)Time elapsed: 0.011 s
% 0.57/0.78  % (25882)Instructions burned: 17 (million)
% 0.57/0.78  % (25882)------------------------------
% 0.57/0.78  % (25882)------------------------------
% 0.57/0.78  % (25879)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25877"
% 0.57/0.78  % (25879)Refutation found. Thanks to Tanya!
% 0.57/0.78  % SZS status Unsatisfiable for Vampire---4
% 0.57/0.78  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.78  % (25879)------------------------------
% 0.57/0.78  % (25879)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78  % (25879)Termination reason: Refutation
% 0.57/0.78  
% 0.57/0.78  % (25879)Memory used [KB]: 1290
% 0.57/0.78  % (25879)Time elapsed: 0.013 s
% 0.57/0.78  % (25879)Instructions burned: 17 (million)
% 0.57/0.78  % (25877)Success in time 0.414 s
% 0.57/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------