TSTP Solution File: SWC054-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC054-1 : TPTP v8.2.0. 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 : n012.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 : Tue May 21 04:35:51 EDT 2024

% Result   : Unsatisfiable 0.46s 0.72s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   50 (   3 unt;   1 typ;   0 def)
%            Number of atoms       :  253 (  13 equ)
%            Maximal formula atoms :    6 (   5 avg)
%            Number of connectives :  167 (  81   ~;  77   |;   0   &)
%                                         (   9 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :  118 ( 118 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   20 (  18 usr;  15 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   12 (  11   !;   0   ?;  11   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

tff(f304,plain,
    $false,
    inference(avatar_sat_refutation,[],[f241,f250,f255,f260,f265,f266,f270,f271,f272,f303]) ).

tff(f303,plain,
    ( ~ spl1_3
    | ~ spl1_5
    | ~ spl1_6
    | ~ spl1_7
    | ~ spl1_8 ),
    inference(avatar_contradiction_clause,[],[f302]) ).

tff(f302,plain,
    ( $false
    | ~ spl1_3
    | ~ spl1_5
    | ~ spl1_6
    | ~ spl1_7
    | ~ spl1_8 ),
    inference(subsumption_resolution,[],[f301,f259]) ).

tff(f259,plain,
    ( segmentP(sk4,sk5)
    | ~ spl1_6 ),
    inference(avatar_component_clause,[],[f257]) ).

tff(f257,plain,
    ( spl1_6
  <=> segmentP(sk4,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).

tff(f301,plain,
    ( ~ segmentP(sk4,sk5)
    | ~ spl1_3
    | ~ spl1_5
    | ~ spl1_7
    | ~ spl1_8 ),
    inference(subsumption_resolution,[],[f300,f264]) ).

tff(f264,plain,
    ( segmentP(sk3,sk5)
    | ~ spl1_7 ),
    inference(avatar_component_clause,[],[f262]) ).

tff(f262,plain,
    ( spl1_7
  <=> segmentP(sk3,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).

tff(f300,plain,
    ( ~ segmentP(sk3,sk5)
    | ~ segmentP(sk4,sk5)
    | ~ spl1_3
    | ~ spl1_5
    | ~ spl1_8 ),
    inference(subsumption_resolution,[],[f289,f245]) ).

tff(f245,plain,
    ( ssList(sk5)
    | ~ spl1_3 ),
    inference(avatar_component_clause,[],[f243]) ).

tff(f243,plain,
    ( spl1_3
  <=> ssList(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

tff(f289,plain,
    ( ~ ssList(sk5)
    | ~ segmentP(sk3,sk5)
    | ~ segmentP(sk4,sk5)
    | ~ spl1_5
    | ~ spl1_8 ),
    inference(resolution,[],[f269,f254]) ).

tff(f254,plain,
    ( neq(sk5,nil)
    | ~ spl1_5 ),
    inference(avatar_component_clause,[],[f252]) ).

tff(f252,plain,
    ( spl1_5
  <=> neq(sk5,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).

tff(f269,plain,
    ( ! [X6: $i] :
        ( ~ neq(X6,nil)
        | ~ ssList(X6)
        | ~ segmentP(sk3,X6)
        | ~ segmentP(sk4,X6) )
    | ~ spl1_8 ),
    inference(avatar_component_clause,[],[f268]) ).

tff(f268,plain,
    ( spl1_8
  <=> ! [X6] :
        ( ~ segmentP(sk3,X6)
        | ~ ssList(X6)
        | ~ neq(X6,nil)
        | ~ segmentP(sk4,X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_8])]) ).

tff(f272,plain,
    ( ~ spl1_1
    | spl1_8 ),
    inference(avatar_split_clause,[],[f217,f268,f234]) ).

tff(f234,plain,
    ( spl1_1
  <=> sQ0_eqProxy($i,nil,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

tff(f217,plain,
    ! [X6: $i] :
      ( ~ segmentP(sk3,X6)
      | ~ segmentP(sk4,X6)
      | ~ neq(X6,nil)
      | ~ ssList(X6)
      | ~ sQ0_eqProxy($i,nil,sk3) ),
    inference(equality_proxy_replacement,[],[f206,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(f206,plain,
    ! [X6: $i] :
      ( ~ segmentP(sk3,X6)
      | ~ segmentP(sk4,X6)
      | ~ neq(X6,nil)
      | ~ ssList(X6)
      | ( nil != sk3 ) ),
    inference(definition_unfolding,[],[f200,f191,f190,f191]) ).

tff(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).

tff(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).

tff(f200,axiom,
    ! [X6: $i] :
      ( ~ segmentP(sk1,X6)
      | ~ segmentP(sk2,X6)
      | ~ neq(X6,nil)
      | ~ ssList(X6)
      | ( nil != sk1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

tff(f271,plain,
    ( ~ spl1_1
    | spl1_4 ),
    inference(avatar_split_clause,[],[f216,f247,f234]) ).

tff(f247,plain,
    ( spl1_4
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).

tff(f216,plain,
    ( neq(sk4,nil)
    | ~ sQ0_eqProxy($i,nil,sk3) ),
    inference(equality_proxy_replacement,[],[f205,f212]) ).

tff(f205,plain,
    ( neq(sk4,nil)
    | ( nil != sk3 ) ),
    inference(definition_unfolding,[],[f199,f190,f191]) ).

tff(f199,axiom,
    ( neq(sk2,nil)
    | ( nil != sk1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

tff(f270,plain,
    ( spl1_2
    | spl1_8 ),
    inference(avatar_split_clause,[],[f215,f268,f238]) ).

tff(f238,plain,
    ( spl1_2
  <=> sQ0_eqProxy($i,nil,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

tff(f215,plain,
    ! [X6: $i] :
      ( ~ segmentP(sk3,X6)
      | ~ segmentP(sk4,X6)
      | ~ neq(X6,nil)
      | ~ ssList(X6)
      | sQ0_eqProxy($i,nil,sk4) ),
    inference(equality_proxy_replacement,[],[f204,f212]) ).

tff(f204,plain,
    ! [X6: $i] :
      ( ~ segmentP(sk3,X6)
      | ~ segmentP(sk4,X6)
      | ~ neq(X6,nil)
      | ~ ssList(X6)
      | ( nil = sk4 ) ),
    inference(definition_unfolding,[],[f198,f191,f190,f190]) ).

tff(f198,axiom,
    ! [X6: $i] :
      ( ~ segmentP(sk1,X6)
      | ~ segmentP(sk2,X6)
      | ~ neq(X6,nil)
      | ~ ssList(X6)
      | ( nil = sk2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

tff(f266,plain,
    ( spl1_2
    | spl1_4 ),
    inference(avatar_split_clause,[],[f214,f247,f238]) ).

tff(f214,plain,
    ( neq(sk4,nil)
    | sQ0_eqProxy($i,nil,sk4) ),
    inference(equality_proxy_replacement,[],[f203,f212]) ).

tff(f203,plain,
    ( neq(sk4,nil)
    | ( nil = sk4 ) ),
    inference(definition_unfolding,[],[f197,f190,f190]) ).

tff(f197,axiom,
    ( neq(sk2,nil)
    | ( nil = sk2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

tff(f265,plain,
    ( spl1_7
    | ~ spl1_4 ),
    inference(avatar_split_clause,[],[f196,f247,f262]) ).

tff(f196,axiom,
    ( ~ neq(sk4,nil)
    | segmentP(sk3,sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

tff(f260,plain,
    ( spl1_6
    | ~ spl1_4 ),
    inference(avatar_split_clause,[],[f195,f247,f257]) ).

tff(f195,axiom,
    ( ~ neq(sk4,nil)
    | segmentP(sk4,sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

tff(f255,plain,
    ( spl1_5
    | ~ spl1_4 ),
    inference(avatar_split_clause,[],[f194,f247,f252]) ).

tff(f194,axiom,
    ( ~ neq(sk4,nil)
    | neq(sk5,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

tff(f250,plain,
    ( spl1_3
    | ~ spl1_4 ),
    inference(avatar_split_clause,[],[f193,f247,f243]) ).

tff(f193,axiom,
    ( ~ neq(sk4,nil)
    | ssList(sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

tff(f241,plain,
    ( spl1_1
    | ~ spl1_2 ),
    inference(avatar_split_clause,[],[f213,f238,f234]) ).

tff(f213,plain,
    ( ~ sQ0_eqProxy($i,nil,sk4)
    | sQ0_eqProxy($i,nil,sk3) ),
    inference(equality_proxy_replacement,[],[f192,f212]) ).

tff(f192,axiom,
    ( ( nil != sk4 )
    | ( nil = sk3 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SWC054-1 : TPTP v8.2.0. Released v2.4.0.
% 0.00/0.10  % 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
% 0.09/0.29  % Computer : n012.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Sun May 19 02:55:08 EDT 2024
% 0.09/0.29  % CPUTime    : 
% 0.09/0.29  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.09/0.29  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/benchmark/theBenchmark.p
% 0.46/0.72  % (11625)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 theBenchmark for (2995ds/34Mi)
% 0.46/0.72  % (11626)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 theBenchmark for (2995ds/51Mi)
% 0.46/0.72  % (11630)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.46/0.72  % (11627)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.46/0.72  % (11628)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.46/0.72  % (11632)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.46/0.72  % (11625)First to succeed.
% 0.46/0.72  % (11627)Also succeeded, but the first one will report.
% 0.46/0.72  % (11631)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 theBenchmark for (2995ds/83Mi)
% 0.46/0.72  % (11628)Also succeeded, but the first one will report.
% 0.46/0.72  % (11632)Also succeeded, but the first one will report.
% 0.46/0.72  % (11625)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11615"
% 0.46/0.72  % (11629)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 theBenchmark for (2995ds/34Mi)
% 0.46/0.72  % (11630)Also succeeded, but the first one will report.
% 0.46/0.72  % (11625)Refutation found. Thanks to Tanya!
% 0.46/0.72  % SZS status Unsatisfiable for theBenchmark
% 0.46/0.72  % SZS output start Proof for theBenchmark
% See solution above
% 0.46/0.72  % (11625)------------------------------
% 0.46/0.72  % (11625)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.72  % (11625)Termination reason: Refutation
% 0.46/0.72  
% 0.46/0.72  % (11625)Memory used [KB]: 1196
% 0.46/0.72  % (11625)Time elapsed: 0.005 s
% 0.46/0.72  % (11625)Instructions burned: 5 (million)
% 0.46/0.72  % (11615)Success in time 0.419 s
% 0.46/0.72  % Vampire---4.8 exiting
%------------------------------------------------------------------------------