TSTP Solution File: SWC003-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC003-1 : 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 : n011.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 03:59:08 EDT 2024

% Result   : Unsatisfiable 0.56s 0.76s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   58 (   7 unt;   0 def)
%            Number of atoms       :  170 (  26 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  219 ( 107   ~; 101   |;   0   &)
%                                         (  11 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   16 (  14 usr;  12 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f465,plain,
    $false,
    inference(avatar_sat_refutation,[],[f265,f270,f275,f280,f285,f290,f296,f327,f347,f421,f441,f464]) ).

fof(f464,plain,
    ( ~ spl0_18
    | ~ spl0_5
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f456,f418,f267,f337]) ).

fof(f337,plain,
    ( spl0_18
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f267,plain,
    ( spl0_5
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f418,plain,
    ( spl0_26
  <=> nil = cons(sk5,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f456,plain,
    ( ~ ssItem(sk5)
    | ~ ssList(nil)
    | ~ spl0_26 ),
    inference(trivial_inequality_removal,[],[f454]) ).

fof(f454,plain,
    ( nil != nil
    | ~ ssItem(sk5)
    | ~ ssList(nil)
    | ~ spl0_26 ),
    inference(superposition,[],[f98,f420]) ).

fof(f420,plain,
    ( nil = cons(sk5,nil)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f98,axiom,
    ! [X0,X1] :
      ( nil != cons(X0,X1)
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.CdyxOUANxI/Vampire---4.8_7852',clause98) ).

fof(f441,plain,
    ( ~ spl0_5
    | ~ spl0_18
    | spl0_16 ),
    inference(avatar_split_clause,[],[f440,f324,f337,f267]) ).

fof(f324,plain,
    ( spl0_16
  <=> ssList(cons(sk5,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f440,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sk5)
    | spl0_16 ),
    inference(resolution,[],[f326,f86]) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.CdyxOUANxI/Vampire---4.8_7852',clause86) ).

fof(f326,plain,
    ( ~ ssList(cons(sk5,nil))
    | spl0_16 ),
    inference(avatar_component_clause,[],[f324]) ).

fof(f421,plain,
    ( ~ spl0_18
    | ~ spl0_16
    | spl0_26
    | spl0_15 ),
    inference(avatar_split_clause,[],[f403,f320,f418,f324,f337]) ).

fof(f320,plain,
    ( spl0_15
  <=> neq(cons(sk5,nil),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f403,plain,
    ( nil = cons(sk5,nil)
    | ~ ssList(cons(sk5,nil))
    | ~ ssList(nil)
    | spl0_15 ),
    inference(resolution,[],[f100,f322]) ).

fof(f322,plain,
    ( ~ neq(cons(sk5,nil),nil)
    | spl0_15 ),
    inference(avatar_component_clause,[],[f320]) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.CdyxOUANxI/Vampire---4.8_7852',clause100) ).

fof(f347,plain,
    spl0_18,
    inference(avatar_contradiction_clause,[],[f346]) ).

fof(f346,plain,
    ( $false
    | spl0_18 ),
    inference(resolution,[],[f339,f8]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.CdyxOUANxI/Vampire---4.8_7852',clause8) ).

fof(f339,plain,
    ( ~ ssList(nil)
    | spl0_18 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f327,plain,
    ( ~ spl0_15
    | ~ spl0_7
    | ~ spl0_16
    | ~ spl0_6
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f318,f287,f282,f259,f272,f324,f277,f320]) ).

fof(f277,plain,
    ( spl0_7
  <=> ssList(sk7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f272,plain,
    ( spl0_6
  <=> ssList(sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f259,plain,
    ( spl0_3
  <=> ! [X6,X7,X8] :
        ( ~ neq(X7,nil)
        | ~ ssList(X6)
        | ~ ssList(X7)
        | ~ ssList(X8)
        | sk4 != app(app(X6,X7),X8)
        | sk3 != app(X6,X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f282,plain,
    ( spl0_8
  <=> sk4 = app(app(sk6,cons(sk5,nil)),sk7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f287,plain,
    ( spl0_9
  <=> sk3 = app(sk6,sk7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f318,plain,
    ( ~ ssList(sk6)
    | ~ ssList(cons(sk5,nil))
    | ~ ssList(sk7)
    | ~ neq(cons(sk5,nil),nil)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f317]) ).

fof(f317,plain,
    ( sk3 != sk3
    | ~ ssList(sk6)
    | ~ ssList(cons(sk5,nil))
    | ~ ssList(sk7)
    | ~ neq(cons(sk5,nil),nil)
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f300,f289]) ).

fof(f289,plain,
    ( sk3 = app(sk6,sk7)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f287]) ).

fof(f300,plain,
    ( ~ ssList(sk6)
    | ~ ssList(cons(sk5,nil))
    | ~ ssList(sk7)
    | ~ neq(cons(sk5,nil),nil)
    | sk3 != app(sk6,sk7)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f299]) ).

fof(f299,plain,
    ( sk4 != sk4
    | ~ ssList(sk6)
    | ~ ssList(cons(sk5,nil))
    | ~ ssList(sk7)
    | ~ neq(cons(sk5,nil),nil)
    | sk3 != app(sk6,sk7)
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f260,f284]) ).

fof(f284,plain,
    ( sk4 = app(app(sk6,cons(sk5,nil)),sk7)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f282]) ).

fof(f260,plain,
    ( ! [X8,X6,X7] :
        ( sk4 != app(app(X6,X7),X8)
        | ~ ssList(X6)
        | ~ ssList(X7)
        | ~ ssList(X8)
        | ~ neq(X7,nil)
        | sk3 != app(X6,X8) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f296,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f295]) ).

fof(f295,plain,
    ( $false
    | spl0_4 ),
    inference(resolution,[],[f264,f244]) ).

fof(f244,plain,
    neq(sk4,nil),
    inference(duplicate_literal_removal,[],[f210]) ).

fof(f210,plain,
    ( neq(sk4,nil)
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f192,f190,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/tmp/tmp.CdyxOUANxI/Vampire---4.8_7852',co1_5) ).

fof(f192,axiom,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.CdyxOUANxI/Vampire---4.8_7852',co1_7) ).

fof(f264,plain,
    ( ~ neq(sk4,nil)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f262,plain,
    ( spl0_4
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f290,plain,
    ( spl0_9
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f206,f262,f287]) ).

fof(f206,axiom,
    ( ~ neq(sk4,nil)
    | sk3 = app(sk6,sk7) ),
    file('/export/starexec/sandbox2/tmp/tmp.CdyxOUANxI/Vampire---4.8_7852',co1_21) ).

fof(f285,plain,
    ( spl0_8
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f205,f262,f282]) ).

fof(f205,axiom,
    ( ~ neq(sk4,nil)
    | sk4 = app(app(sk6,cons(sk5,nil)),sk7) ),
    file('/export/starexec/sandbox2/tmp/tmp.CdyxOUANxI/Vampire---4.8_7852',co1_20) ).

fof(f280,plain,
    ( spl0_7
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f204,f262,f277]) ).

fof(f204,axiom,
    ( ~ neq(sk4,nil)
    | ssList(sk7) ),
    file('/export/starexec/sandbox2/tmp/tmp.CdyxOUANxI/Vampire---4.8_7852',co1_19) ).

fof(f275,plain,
    ( spl0_6
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f203,f262,f272]) ).

fof(f203,axiom,
    ( ~ neq(sk4,nil)
    | ssList(sk6) ),
    file('/export/starexec/sandbox2/tmp/tmp.CdyxOUANxI/Vampire---4.8_7852',co1_18) ).

fof(f270,plain,
    ( spl0_5
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f202,f262,f267]) ).

fof(f202,axiom,
    ( ~ neq(sk4,nil)
    | ssItem(sk5) ),
    file('/export/starexec/sandbox2/tmp/tmp.CdyxOUANxI/Vampire---4.8_7852',co1_17) ).

fof(f265,plain,
    ( spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f219,f262,f259]) ).

fof(f219,plain,
    ! [X8,X6,X7] :
      ( ~ neq(sk4,nil)
      | ~ neq(X7,nil)
      | sk3 != app(X6,X8)
      | sk4 != app(app(X6,X7),X8)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f201,f191,f190]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/tmp/tmp.CdyxOUANxI/Vampire---4.8_7852',co1_6) ).

fof(f201,axiom,
    ! [X8,X6,X7] :
      ( ~ neq(sk4,nil)
      | ~ neq(X7,nil)
      | sk1 != app(X6,X8)
      | sk2 != app(app(X6,X7),X8)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.CdyxOUANxI/Vampire---4.8_7852',co1_16) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SWC003-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.15  % 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 : n011.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 18:20:31 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.CdyxOUANxI/Vampire---4.8_7852
% 0.56/0.75  % (7966)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  % (7960)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  % (7962)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  % (7961)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  % (7964)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  % (7963)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  % (7965)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  % (7964)Refutation not found, incomplete strategy% (7964)------------------------------
% 0.56/0.75  % (7964)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75  % (7964)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (7964)Memory used [KB]: 1273
% 0.56/0.75  % (7964)Time elapsed: 0.008 s
% 0.56/0.75  % (7964)Instructions burned: 12 (million)
% 0.56/0.75  % (7964)------------------------------
% 0.56/0.75  % (7964)------------------------------
% 0.56/0.76  % (7961)First to succeed.
% 0.56/0.76  % (7967)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)
% 0.56/0.76  % (7968)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 (2996ds/55Mi)
% 0.56/0.76  % (7961)Refutation found. Thanks to Tanya!
% 0.56/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.56/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.76  % (7961)------------------------------
% 0.56/0.76  % (7961)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76  % (7961)Termination reason: Refutation
% 0.56/0.76  
% 0.56/0.76  % (7961)Memory used [KB]: 1304
% 0.56/0.76  % (7961)Time elapsed: 0.012 s
% 0.56/0.76  % (7961)Instructions burned: 16 (million)
% 0.56/0.76  % (7961)------------------------------
% 0.56/0.76  % (7961)------------------------------
% 0.56/0.76  % (7959)Success in time 0.379 s
% 0.56/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------