TSTP Solution File: SWC043-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC043-1 : 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/sandbox/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 : Sun May  5 09:48:10 EDT 2024

% Result   : Unsatisfiable 0.56s 0.75s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   28 (  16 unt;   1 typ;   0 def)
%            Number of atoms       :   98 (  12 equ)
%            Maximal formula atoms :    4 (   3 avg)
%            Number of connectives :   41 (  21   ~;  18   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   51 (  51 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   12 (  10 usr;   8 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   15 (  14   !;   0   ?;  15   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_20,type,
    sQ0_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f274,plain,
    $false,
    inference(avatar_sat_refutation,[],[f248,f273]) ).

tff(f273,plain,
    spl1_2,
    inference(avatar_contradiction_clause,[],[f272]) ).

tff(f272,plain,
    ( $false
    | spl1_2 ),
    inference(subsumption_resolution,[],[f271,f234]) ).

tff(f234,plain,
    ( ~ sQ0_eqProxy($i,sk3,sk4)
    | spl1_2 ),
    inference(avatar_component_clause,[],[f232]) ).

tff(f232,plain,
    ( spl1_2
  <=> sQ0_eqProxy($i,sk3,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

tff(f271,plain,
    sQ0_eqProxy($i,sk3,sk4),
    inference(forward_literal_rewriting,[],[f270,f225]) ).

tff(f225,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( sQ0_eqProxy(X0,X2,X1)
      | ~ sQ0_eqProxy(X0,X1,X2) ),
    inference(equality_proxy_axiom,[],[f212]) ).

tff(f212,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( sQ0_eqProxy(X0,X1,X2)
    <=> ( X1 = X2 ) ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

tff(f270,plain,
    sQ0_eqProxy($i,sk4,sk3),
    inference(subsumption_resolution,[],[f269,f194]) ).

tff(f194,axiom,
    ssList(sk5),
    file('/export/starexec/sandbox/tmp/tmp.4KxhLlN2X5/Vampire---4.8_9288',co1_9) ).

tff(f269,plain,
    ( ~ ssList(sk5)
    | sQ0_eqProxy($i,sk4,sk3) ),
    inference(subsumption_resolution,[],[f265,f188]) ).

tff(f188,axiom,
    ssList(sk3),
    file('/export/starexec/sandbox/tmp/tmp.4KxhLlN2X5/Vampire---4.8_9288',co1_3) ).

tff(f265,plain,
    ( ~ ssList(sk3)
    | ~ ssList(sk5)
    | sQ0_eqProxy($i,sk4,sk3) ),
    inference(resolution,[],[f262,f214]) ).

tff(f214,plain,
    sQ0_eqProxy($i,sk4,app(sk3,sk5)),
    inference(equality_proxy_replacement,[],[f195,f212]) ).

tff(f195,axiom,
    sk4 = app(sk3,sk5),
    file('/export/starexec/sandbox/tmp/tmp.4KxhLlN2X5/Vampire---4.8_9288',co1_10) ).

tff(f262,plain,
    ! [X0: $i,X1: $i] :
      ( ~ sQ0_eqProxy($i,sk4,app(X0,X1))
      | ~ ssList(X0)
      | ~ ssList(X1)
      | sQ0_eqProxy($i,sk4,X0) ),
    inference(resolution,[],[f225,f221]) ).

tff(f221,plain,
    ! [X0: $i,X1: $i] :
      ( ~ sQ0_eqProxy($i,app(X0,X1),sk4)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | sQ0_eqProxy($i,sk4,X0) ),
    inference(equality_proxy_replacement,[],[f207,f212]) ).

tff(f207,plain,
    ! [X0: $i,X1: $i] :
      ( ( sk4 = X0 )
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ( app(X0,X1) != sk4 ) ),
    inference(definition_unfolding,[],[f118,f199,f199]) ).

tff(f199,plain,
    nil = sk4,
    inference(definition_unfolding,[],[f190,f191]) ).

tff(f191,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox/tmp/tmp.4KxhLlN2X5/Vampire---4.8_9288',co1_6) ).

tff(f190,axiom,
    nil = sk2,
    file('/export/starexec/sandbox/tmp/tmp.4KxhLlN2X5/Vampire---4.8_9288',co1_5) ).

tff(f118,axiom,
    ! [X0: $i,X1: $i] :
      ( ( nil = X0 )
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ( nil != app(X0,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.4KxhLlN2X5/Vampire---4.8_9288',clause118) ).

tff(f248,plain,
    ~ spl1_2,
    inference(avatar_split_clause,[],[f213,f232]) ).

tff(f213,plain,
    ~ sQ0_eqProxy($i,sk3,sk4),
    inference(equality_proxy_replacement,[],[f202,f212]) ).

tff(f202,plain,
    sk3 != sk4,
    inference(definition_unfolding,[],[f193,f199,f192]) ).

tff(f192,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox/tmp/tmp.4KxhLlN2X5/Vampire---4.8_9288',co1_7) ).

tff(f193,axiom,
    nil != sk1,
    file('/export/starexec/sandbox/tmp/tmp.4KxhLlN2X5/Vampire---4.8_9288',co1_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SWC043-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35  % Computer : n011.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   : Fri May  3 20:27:53 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.4KxhLlN2X5/Vampire---4.8_9288
% 0.56/0.74  % (9405)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  % (9398)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  % (9400)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  % (9399)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  % (9402)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  % (9401)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  % (9403)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  % (9404)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  % (9405)Refutation not found, incomplete strategy% (9405)------------------------------
% 0.56/0.74  % (9405)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (9405)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (9405)Memory used [KB]: 1198
% 0.56/0.74  % (9405)Time elapsed: 0.003 s
% 0.56/0.74  % (9405)Instructions burned: 6 (million)
% 0.56/0.74  % (9405)------------------------------
% 0.56/0.74  % (9405)------------------------------
% 0.56/0.74  % (9398)First to succeed.
% 0.56/0.74  % (9401)Also succeeded, but the first one will report.
% 0.56/0.74  % (9398)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9397"
% 0.56/0.74  % (9406)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)
% 0.56/0.75  % (9398)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  % (9398)------------------------------
% 0.56/0.75  % (9398)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (9398)Termination reason: Refutation
% 0.56/0.75  
% 0.56/0.75  % (9398)Memory used [KB]: 1191
% 0.56/0.75  % (9398)Time elapsed: 0.005 s
% 0.56/0.75  % (9398)Instructions burned: 4 (million)
% 0.56/0.75  % (9397)Success in time 0.379 s
% 0.56/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------