TSTP Solution File: SWC277-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC277-1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n018.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 04:37:41 EDT 2024

% Result   : Unsatisfiable 0.64s 0.78s
% Output   : Refutation 0.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   61 (  19 unt;   0 def)
%            Number of atoms       :  117 (  14 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  100 (  44   ~;  46   |;   0   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   18 (  16 usr;  11 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f383,plain,
    $false,
    inference(avatar_sat_refutation,[],[f243,f273,f308,f346,f356,f358,f365,f373,f375,f380,f382]) ).

fof(f382,plain,
    ~ spl0_11,
    inference(avatar_contradiction_clause,[],[f381]) ).

fof(f381,plain,
    ( $false
    | ~ spl0_11 ),
    inference(resolution,[],[f307,f197]) ).

fof(f197,plain,
    ~ totalorderedP(sk3),
    inference(definition_unfolding,[],[f193,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f193,axiom,
    ~ totalorderedP(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f307,plain,
    ( totalorderedP(sk3)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f305]) ).

fof(f305,plain,
    ( spl0_11
  <=> totalorderedP(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f380,plain,
    spl0_7,
    inference(avatar_contradiction_clause,[],[f377]) ).

fof(f377,plain,
    ( $false
    | spl0_7 ),
    inference(resolution,[],[f288,f47]) ).

fof(f47,axiom,
    ! [X0] : ssItem(skaf44(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f288,plain,
    ( ~ ssItem(skaf44(sk3))
    | spl0_7 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f286,plain,
    ( spl0_7
  <=> ssItem(skaf44(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f375,plain,
    spl0_19,
    inference(avatar_contradiction_clause,[],[f374]) ).

fof(f374,plain,
    ( $false
    | spl0_19 ),
    inference(resolution,[],[f351,f196]) ).

fof(f196,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).

fof(f351,plain,
    ( ~ ssList(sk4)
    | spl0_19 ),
    inference(avatar_component_clause,[],[f349]) ).

fof(f349,plain,
    ( spl0_19
  <=> ssList(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f373,plain,
    ~ spl0_18,
    inference(avatar_contradiction_clause,[],[f372]) ).

fof(f372,plain,
    ( $false
    | ~ spl0_18 ),
    inference(resolution,[],[f369,f4]) ).

fof(f4,axiom,
    totalorderedP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).

fof(f369,plain,
    ( ~ totalorderedP(nil)
    | ~ spl0_18 ),
    inference(superposition,[],[f197,f340]) ).

fof(f340,plain,
    ( nil = sk3
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f339]) ).

fof(f339,plain,
    ( spl0_18
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f365,plain,
    ( spl0_18
    | ~ spl0_6
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f364,f353,f270,f339]) ).

fof(f270,plain,
    ( spl0_6
  <=> ssList(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f353,plain,
    ( spl0_20
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f364,plain,
    ( ~ ssList(sk3)
    | nil = sk3
    | ~ spl0_20 ),
    inference(resolution,[],[f360,f80]) ).

fof(f80,axiom,
    ! [X0] :
      ( ~ segmentP(nil,X0)
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f360,plain,
    ( segmentP(nil,sk3)
    | ~ spl0_20 ),
    inference(superposition,[],[f192,f355]) ).

fof(f355,plain,
    ( nil = sk4
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f353]) ).

fof(f192,axiom,
    segmentP(sk4,sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f358,plain,
    spl0_15,
    inference(avatar_contradiction_clause,[],[f357]) ).

fof(f357,plain,
    ( $false
    | spl0_15 ),
    inference(resolution,[],[f327,f8]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

fof(f327,plain,
    ( ~ ssList(nil)
    | spl0_15 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f325,plain,
    ( spl0_15
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f356,plain,
    ( ~ spl0_15
    | ~ spl0_19
    | spl0_20
    | spl0_4 ),
    inference(avatar_split_clause,[],[f347,f240,f353,f349,f325]) ).

fof(f240,plain,
    ( spl0_4
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f347,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | ~ ssList(nil)
    | spl0_4 ),
    inference(resolution,[],[f242,f100]) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f242,plain,
    ( ~ neq(sk4,nil)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f346,plain,
    spl0_6,
    inference(avatar_contradiction_clause,[],[f345]) ).

fof(f345,plain,
    ( $false
    | spl0_6 ),
    inference(resolution,[],[f272,f195]) ).

fof(f195,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

fof(f272,plain,
    ( ~ ssList(sk3)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f308,plain,
    ( ~ spl0_7
    | spl0_11
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f277,f266,f305,f286]) ).

fof(f266,plain,
    ( spl0_5
  <=> sk3 = cons(skaf44(sk3),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f277,plain,
    ( totalorderedP(sk3)
    | ~ ssItem(skaf44(sk3))
    | ~ spl0_5 ),
    inference(superposition,[],[f67,f268]) ).

fof(f268,plain,
    ( sk3 = cons(skaf44(sk3),nil)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f67,axiom,
    ! [X0] :
      ( totalorderedP(cons(X0,nil))
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f273,plain,
    ( spl0_5
    | ~ spl0_6
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f264,f236,f270,f266]) ).

fof(f236,plain,
    ( spl0_3
  <=> singletonP(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f264,plain,
    ( ~ ssList(sk3)
    | sk3 = cons(skaf44(sk3),nil)
    | ~ spl0_3 ),
    inference(resolution,[],[f101,f238]) ).

fof(f238,plain,
    ( singletonP(sk3)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f236]) ).

fof(f101,axiom,
    ! [X0] :
      ( ~ singletonP(X0)
      | ~ ssList(X0)
      | cons(skaf44(X0),nil) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f243,plain,
    ( spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f194,f240,f236]) ).

fof(f194,axiom,
    ( ~ neq(sk4,nil)
    | singletonP(sk3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWC277-1 : TPTP v8.2.0. 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
% 0.15/0.36  % Computer : n018.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   : Sun May 19 02:54:53 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  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/benchmark/theBenchmark.p
% 0.58/0.78  % (31209)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)
% 0.58/0.78  % (31211)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)
% 0.58/0.78  % (31210)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.58/0.78  % (31212)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)
% 0.58/0.78  % (31213)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)
% 0.58/0.78  % (31208)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)
% 0.58/0.78  % (31214)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)
% 0.58/0.78  % (31215)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)
% 0.64/0.78  % (31215)Refutation not found, incomplete strategy% (31215)------------------------------
% 0.64/0.78  % (31215)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.78  % (31215)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.78  
% 0.64/0.78  % (31215)Memory used [KB]: 1167
% 0.64/0.78  % (31215)Time elapsed: 0.003 s
% 0.64/0.78  % (31215)Instructions burned: 4 (million)
% 0.64/0.78  % (31215)------------------------------
% 0.64/0.78  % (31215)------------------------------
% 0.64/0.78  % (31213)Refutation not found, incomplete strategy% (31213)------------------------------
% 0.64/0.78  % (31213)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.78  % (31213)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.78  
% 0.64/0.78  % (31213)Memory used [KB]: 1193
% 0.64/0.78  % (31213)Time elapsed: 0.004 s
% 0.64/0.78  % (31213)Instructions burned: 5 (million)
% 0.64/0.78  % (31213)------------------------------
% 0.64/0.78  % (31213)------------------------------
% 0.64/0.78  % (31209)First to succeed.
% 0.64/0.78  % (31209)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31207"
% 0.64/0.78  % (31209)Refutation found. Thanks to Tanya!
% 0.64/0.78  % SZS status Unsatisfiable for theBenchmark
% 0.64/0.78  % SZS output start Proof for theBenchmark
% See solution above
% 0.64/0.78  % (31209)------------------------------
% 0.64/0.78  % (31209)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.78  % (31209)Termination reason: Refutation
% 0.64/0.78  
% 0.64/0.78  % (31209)Memory used [KB]: 1284
% 0.64/0.78  % (31209)Time elapsed: 0.006 s
% 0.64/0.78  % (31209)Instructions burned: 13 (million)
% 0.64/0.78  % (31207)Success in time 0.411 s
% 0.64/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------