TSTP Solution File: LCL004-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL004-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n026.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 07:32:38 EDT 2024

% Result   : Unsatisfiable 0.76s 0.92s
% Output   : Refutation 0.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   36 (   9 unt;   0 def)
%            Number of atoms       :   72 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   68 (  32   ~;  31   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    7 (   6 usr;   6 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   99 (  99   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f132,plain,
    $false,
    inference(avatar_sat_refutation,[],[f73,f89,f99,f115,f125,f131]) ).

fof(f131,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f126]) ).

fof(f126,plain,
    ( $false
    | ~ spl0_5 ),
    inference(resolution,[],[f124,f3]) ).

fof(f3,axiom,
    ~ is_a_theorem(or(not(a),or(b,a))),
    file('/export/starexec/sandbox2/tmp/tmp.xMbTEt2ctv/Vampire---4.8_23745',an_3) ).

fof(f124,plain,
    ( ! [X2,X1] : is_a_theorem(or(not(X1),or(X2,X1)))
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f123]) ).

fof(f123,plain,
    ( spl0_5
  <=> ! [X2,X1] : is_a_theorem(or(not(X1),or(X2,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f125,plain,
    ( spl0_5
    | spl0_2
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f116,f113,f71,f123]) ).

fof(f71,plain,
    ( spl0_2
  <=> ! [X0] : ~ is_a_theorem(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f113,plain,
    ( spl0_4
  <=> ! [X2,X1,X3] : is_a_theorem(or(X1,or(not(X2),or(X3,X2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f116,plain,
    ( ! [X2,X0,X1] :
        ( ~ is_a_theorem(X0)
        | is_a_theorem(or(not(X1),or(X2,X1))) )
    | ~ spl0_4 ),
    inference(resolution,[],[f114,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(or(not(X0),X1))
      | ~ is_a_theorem(X0)
      | is_a_theorem(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.xMbTEt2ctv/Vampire---4.8_23745',condensed_detachment) ).

fof(f114,plain,
    ( ! [X2,X3,X1] : is_a_theorem(or(X1,or(not(X2),or(X3,X2))))
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f113]) ).

fof(f115,plain,
    ( spl0_4
    | spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f106,f97,f71,f113]) ).

fof(f97,plain,
    ( spl0_3
  <=> ! [X2,X1,X3] : is_a_theorem(or(not(or(not(X1),X2)),or(not(X2),or(X3,X2)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f106,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ is_a_theorem(X0)
        | is_a_theorem(or(X1,or(not(X2),or(X3,X2)))) )
    | ~ spl0_3 ),
    inference(resolution,[],[f101,f1]) ).

fof(f101,plain,
    ( ! [X2,X3,X0,X1] : is_a_theorem(or(X0,or(X1,or(not(X2),or(X3,X2)))))
    | ~ spl0_3 ),
    inference(resolution,[],[f98,f32]) ).

fof(f32,plain,
    ! [X2,X3,X1,X4,X5] :
      ( ~ is_a_theorem(or(not(or(not(X2),X5)),or(X1,X2)))
      | is_a_theorem(or(X3,or(X4,or(X1,X2)))) ),
    inference(condensation,[],[f31]) ).

fof(f31,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ is_a_theorem(or(not(X0),or(X1,X2)))
      | is_a_theorem(or(X3,or(X4,or(X1,X2))))
      | ~ is_a_theorem(or(not(or(not(X2),X5)),or(X1,X2))) ),
    inference(resolution,[],[f24,f21]) ).

fof(f21,plain,
    ! [X2,X3,X0,X1,X4] :
      ( is_a_theorem(or(not(or(not(X3),X0)),or(X4,or(X2,X0))))
      | ~ is_a_theorem(or(not(or(not(X0),X1)),or(X2,X0))) ),
    inference(resolution,[],[f8,f1]) ).

fof(f8,plain,
    ! [X2,X3,X0,X1,X4] : is_a_theorem(or(not(or(not(or(not(X0),X1)),or(X2,X0))),or(not(or(not(X3),X0)),or(X4,or(X2,X0))))),
    inference(resolution,[],[f6,f4]) ).

fof(f4,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ is_a_theorem(or(not(or(not(X0),X1)),or(X2,or(X3,X4))))
      | is_a_theorem(or(not(or(not(X3),X0)),or(X2,or(X4,X0)))) ),
    inference(resolution,[],[f2,f1]) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1,X4] : is_a_theorem(or(not(or(not(or(not(X0),X1)),or(X2,or(X3,X4)))),or(not(or(not(X3),X0)),or(X2,or(X4,X0))))),
    file('/export/starexec/sandbox2/tmp/tmp.xMbTEt2ctv/Vampire---4.8_23745',an_CAMerideth) ).

fof(f6,plain,
    ! [X2,X3,X0,X1,X4] : is_a_theorem(or(not(or(not(or(X0,X1)),X2)),or(not(or(not(X3),X1)),or(or(not(X1),X4),X2)))),
    inference(resolution,[],[f5,f4]) ).

fof(f5,plain,
    ! [X2,X3,X0,X1,X4] : is_a_theorem(or(not(or(not(X0),or(not(X1),X2))),or(not(or(not(X3),X1)),or(or(X4,X1),or(not(X1),X2))))),
    inference(resolution,[],[f4,f2]) ).

fof(f24,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ is_a_theorem(or(not(or(not(X0),X1)),or(X2,X0)))
      | ~ is_a_theorem(or(not(X3),X0))
      | is_a_theorem(or(X4,or(X2,X0))) ),
    inference(resolution,[],[f21,f1]) ).

fof(f98,plain,
    ( ! [X2,X3,X1] : is_a_theorem(or(not(or(not(X1),X2)),or(not(X2),or(X3,X2))))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f97]) ).

fof(f99,plain,
    ( spl0_3
    | spl0_2
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f90,f68,f71,f97]) ).

fof(f68,plain,
    ( spl0_1
  <=> ! [X4,X2,X1,X3] : is_a_theorem(or(X1,or(not(or(not(X2),X3)),or(not(X3),or(X4,X3))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f90,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ is_a_theorem(X0)
        | is_a_theorem(or(not(or(not(X1),X2)),or(not(X2),or(X3,X2)))) )
    | ~ spl0_1 ),
    inference(resolution,[],[f69,f1]) ).

fof(f69,plain,
    ( ! [X2,X3,X1,X4] : is_a_theorem(or(X1,or(not(or(not(X2),X3)),or(not(X3),or(X4,X3)))))
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f68]) ).

fof(f89,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f74]) ).

fof(f74,plain,
    ( $false
    | ~ spl0_2 ),
    inference(resolution,[],[f72,f2]) ).

fof(f72,plain,
    ( ! [X0] : ~ is_a_theorem(X0)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f71]) ).

fof(f73,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f61,f71,f68]) ).

fof(f61,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ is_a_theorem(X0)
      | is_a_theorem(or(X1,or(not(or(not(X2),X3)),or(not(X3),or(X4,X3))))) ),
    inference(resolution,[],[f53,f1]) ).

fof(f53,plain,
    ! [X2,X3,X0,X1,X4] : is_a_theorem(or(X0,or(X1,or(not(or(not(X2),X3)),or(not(X3),or(X4,X3)))))),
    inference(resolution,[],[f32,f2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : LCL004-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.15  % 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 : n026.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   : Fri May  3 13:49:36 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a CNF_UNS_RFO_NEQ_HRN 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.xMbTEt2ctv/Vampire---4.8_23745
% 0.76/0.91  % (23996)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.76/0.91  % (24000)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 (2994ds/83Mi)
% 0.76/0.91  % (23994)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 (2994ds/34Mi)
% 0.76/0.91  % (23997)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.76/0.91  % (23995)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 (2994ds/51Mi)
% 0.76/0.91  % (23998)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 (2994ds/34Mi)
% 0.76/0.91  % (23999)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.76/0.91  % (24001)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 (2994ds/56Mi)
% 0.76/0.91  % (23998)Refutation not found, incomplete strategy% (23998)------------------------------
% 0.76/0.91  % (23998)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.91  % (23999)Refutation not found, incomplete strategy% (23999)------------------------------
% 0.76/0.91  % (23999)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.91  % (23998)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.91  
% 0.76/0.91  % (23998)Memory used [KB]: 960
% 0.76/0.91  % (23999)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.92  
% 0.76/0.92  % (23998)Time elapsed: 0.003 s
% 0.76/0.92  % (23999)Memory used [KB]: 959
% 0.76/0.92  % (23999)Time elapsed: 0.003 s
% 0.76/0.92  % (23998)Instructions burned: 2 (million)
% 0.76/0.92  % (23999)Instructions burned: 2 (million)
% 0.76/0.92  % (24001)Refutation not found, incomplete strategy% (24001)------------------------------
% 0.76/0.92  % (24001)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.92  % (24001)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.92  
% 0.76/0.92  % (24001)Memory used [KB]: 959
% 0.76/0.92  % (24001)Time elapsed: 0.002 s
% 0.76/0.92  % (24001)Instructions burned: 2 (million)
% 0.76/0.92  % (23998)------------------------------
% 0.76/0.92  % (23998)------------------------------
% 0.76/0.92  % (23999)------------------------------
% 0.76/0.92  % (23999)------------------------------
% 0.76/0.92  % (24001)------------------------------
% 0.76/0.92  % (24001)------------------------------
% 0.76/0.92  % (23995)First to succeed.
% 0.76/0.92  % (23995)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23958"
% 0.76/0.92  % (24004)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/208Mi)
% 0.76/0.92  % (24002)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 (2994ds/55Mi)
% 0.76/0.92  % (24003)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2994ds/50Mi)
% 0.76/0.92  % (23995)Refutation found. Thanks to Tanya!
% 0.76/0.92  % SZS status Unsatisfiable for Vampire---4
% 0.76/0.92  % SZS output start Proof for Vampire---4
% See solution above
% 0.76/0.92  % (23995)------------------------------
% 0.76/0.92  % (23995)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.76/0.92  % (23995)Termination reason: Refutation
% 0.76/0.92  
% 0.76/0.92  % (23995)Memory used [KB]: 1080
% 0.76/0.92  % (23995)Time elapsed: 0.006 s
% 0.76/0.92  % (23995)Instructions burned: 7 (million)
% 0.76/0.92  % (23958)Success in time 0.545 s
% 0.76/0.92  % Vampire---4.8 exiting
%------------------------------------------------------------------------------