TSTP Solution File: SYN069-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN069-1 : 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 : n007.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 11:55:54 EDT 2024

% Result   : Unsatisfiable 0.62s 0.76s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   34 (   3 unt;   0 def)
%            Number of atoms       :  100 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  130 (  64   ~;  63   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   4 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   23 (  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f40,plain,
    $false,
    inference(avatar_sat_refutation,[],[f25,f29,f35,f39]) ).

fof(f39,plain,
    ( spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f38,f19,f23]) ).

fof(f23,plain,
    ( spl0_3
  <=> ! [X0] :
        ( ~ big_h(a,X0)
        | ~ big_g(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f19,plain,
    ( spl0_2
  <=> big_h(a,f(a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f38,plain,
    ( ! [X0] :
        ( ~ big_h(a,X0)
        | ~ big_g(X0) )
    | spl0_2 ),
    inference(subsumption_resolution,[],[f37,f10]) ).

fof(f10,plain,
    ! [X0] :
      ( ~ big_k(X0)
      | ~ big_h(a,X0) ),
    inference(resolution,[],[f6,f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( ~ big_l(X0)
      | ~ big_k(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.4V8JhLAy9e/Vampire---4.8_19060',clause_4) ).

fof(f6,axiom,
    ! [X0] :
      ( big_l(X0)
      | ~ big_h(a,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.4V8JhLAy9e/Vampire---4.8_19060',clause_6) ).

fof(f37,plain,
    ( ! [X0] :
        ( ~ big_h(a,X0)
        | ~ big_g(X0)
        | big_k(X0) )
    | spl0_2 ),
    inference(subsumption_resolution,[],[f36,f5]) ).

fof(f5,axiom,
    big_f(a),
    file('/export/starexec/sandbox2/tmp/tmp.4V8JhLAy9e/Vampire---4.8_19060',clause_5) ).

fof(f36,plain,
    ( ! [X0] :
        ( ~ big_h(a,X0)
        | ~ big_g(X0)
        | big_k(X0)
        | ~ big_f(a) )
    | spl0_2 ),
    inference(resolution,[],[f21,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( big_h(X0,f(X0))
      | ~ big_h(X0,X1)
      | ~ big_g(X1)
      | big_k(X1)
      | ~ big_f(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.4V8JhLAy9e/Vampire---4.8_19060',clause_2) ).

fof(f21,plain,
    ( ~ big_h(a,f(a))
    | spl0_2 ),
    inference(avatar_component_clause,[],[f19]) ).

fof(f35,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f34]) ).

fof(f34,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f33,f5]) ).

fof(f33,plain,
    ( ~ big_f(a)
    | ~ spl0_3 ),
    inference(resolution,[],[f32,f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( big_g(g(X0))
      | ~ big_f(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.4V8JhLAy9e/Vampire---4.8_19060',clause_8) ).

fof(f32,plain,
    ( ~ big_g(g(a))
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f30,f5]) ).

fof(f30,plain,
    ( ~ big_g(g(a))
    | ~ big_f(a)
    | ~ spl0_3 ),
    inference(resolution,[],[f24,f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( big_h(X0,g(X0))
      | ~ big_f(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.4V8JhLAy9e/Vampire---4.8_19060',clause_9) ).

fof(f24,plain,
    ( ! [X0] :
        ( ~ big_h(a,X0)
        | ~ big_g(X0) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f23]) ).

fof(f29,plain,
    ( spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f28,f15,f23]) ).

fof(f15,plain,
    ( spl0_1
  <=> big_g(f(a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f28,plain,
    ( ! [X0] :
        ( ~ big_h(a,X0)
        | ~ big_g(X0) )
    | spl0_1 ),
    inference(subsumption_resolution,[],[f27,f10]) ).

fof(f27,plain,
    ( ! [X0] :
        ( ~ big_h(a,X0)
        | ~ big_g(X0)
        | big_k(X0) )
    | spl0_1 ),
    inference(subsumption_resolution,[],[f26,f5]) ).

fof(f26,plain,
    ( ! [X0] :
        ( ~ big_h(a,X0)
        | ~ big_g(X0)
        | big_k(X0)
        | ~ big_f(a) )
    | spl0_1 ),
    inference(resolution,[],[f17,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( big_g(f(X0))
      | ~ big_h(X0,X1)
      | ~ big_g(X1)
      | big_k(X1)
      | ~ big_f(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.4V8JhLAy9e/Vampire---4.8_19060',clause_1) ).

fof(f17,plain,
    ( ~ big_g(f(a))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f15]) ).

fof(f25,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f13,f23,f19,f15]) ).

fof(f13,plain,
    ! [X0] :
      ( ~ big_h(a,X0)
      | ~ big_g(X0)
      | ~ big_h(a,f(a))
      | ~ big_g(f(a)) ),
    inference(subsumption_resolution,[],[f12,f10]) ).

fof(f12,plain,
    ! [X0] :
      ( ~ big_h(a,X0)
      | ~ big_g(X0)
      | big_k(X0)
      | ~ big_h(a,f(a))
      | ~ big_g(f(a)) ),
    inference(subsumption_resolution,[],[f11,f5]) ).

fof(f11,plain,
    ! [X0] :
      ( ~ big_h(a,X0)
      | ~ big_g(X0)
      | big_k(X0)
      | ~ big_f(a)
      | ~ big_h(a,f(a))
      | ~ big_g(f(a)) ),
    inference(resolution,[],[f3,f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( big_j(a,X0)
      | ~ big_h(a,X0)
      | ~ big_g(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.4V8JhLAy9e/Vampire---4.8_19060',clause_7) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ big_j(X0,f(X0))
      | ~ big_h(X0,X1)
      | ~ big_g(X1)
      | big_k(X1)
      | ~ big_f(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.4V8JhLAy9e/Vampire---4.8_19060',clause_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SYN069-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.15  % 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 : n007.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 17:21:08 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_NEQ_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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.4V8JhLAy9e/Vampire---4.8_19060
% 0.62/0.76  % (19227)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)
% 0.62/0.76  % (19229)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.62/0.76  % (19230)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)
% 0.62/0.76  % (19227)Refutation not found, incomplete strategy% (19227)------------------------------
% 0.62/0.76  % (19227)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.76  % (19227)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.76  % (19228)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)
% 0.62/0.76  % (19231)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)
% 0.62/0.76  
% 0.62/0.76  % (19227)Memory used [KB]: 944
% 0.62/0.76  % (19227)Time elapsed: 0.001 s
% 0.62/0.76  % (19227)Instructions burned: 2 (million)
% 0.62/0.76  % (19232)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)
% 0.62/0.76  % (19234)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)
% 0.62/0.76  % (19233)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)
% 0.62/0.76  % (19227)------------------------------
% 0.62/0.76  % (19227)------------------------------
% 0.62/0.76  % (19230)Refutation not found, incomplete strategy% (19230)------------------------------
% 0.62/0.76  % (19230)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.76  % (19230)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.76  
% 0.62/0.76  % (19230)Memory used [KB]: 944
% 0.62/0.76  % (19230)Time elapsed: 0.002 s
% 0.62/0.76  % (19230)Instructions burned: 2 (million)
% 0.62/0.76  % (19232)Refutation not found, incomplete strategy% (19232)------------------------------
% 0.62/0.76  % (19232)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.76  % (19232)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.76  
% 0.62/0.76  % (19232)Memory used [KB]: 944
% 0.62/0.76  % (19232)Time elapsed: 0.002 s
% 0.62/0.76  % (19232)Instructions burned: 2 (million)
% 0.62/0.76  % (19234)Refutation not found, incomplete strategy% (19234)------------------------------
% 0.62/0.76  % (19234)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.76  % (19234)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.76  
% 0.62/0.76  % (19234)Memory used [KB]: 944
% 0.62/0.76  % (19234)Time elapsed: 0.002 s
% 0.62/0.76  % (19234)Instructions burned: 2 (million)
% 0.62/0.76  % (19233)Refutation not found, incomplete strategy% (19233)------------------------------
% 0.62/0.76  % (19233)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.76  % (19230)------------------------------
% 0.62/0.76  % (19230)------------------------------
% 0.62/0.76  % (19233)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.76  
% 0.62/0.76  % (19233)Memory used [KB]: 944
% 0.62/0.76  % (19233)Time elapsed: 0.002 s
% 0.62/0.76  % (19233)Instructions burned: 2 (million)
% 0.62/0.76  % (19234)------------------------------
% 0.62/0.76  % (19234)------------------------------
% 0.62/0.76  % (19232)------------------------------
% 0.62/0.76  % (19232)------------------------------
% 0.62/0.76  % (19233)------------------------------
% 0.62/0.76  % (19233)------------------------------
% 0.62/0.76  % (19231)Also succeeded, but the first one will report.
% 0.62/0.76  % (19229)First to succeed.
% 0.62/0.76  % (19228)Also succeeded, but the first one will report.
% 0.62/0.76  % (19229)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19226"
% 0.62/0.76  % (19229)Refutation found. Thanks to Tanya!
% 0.62/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.62/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.76  % (19229)------------------------------
% 0.62/0.76  % (19229)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.76  % (19229)Termination reason: Refutation
% 0.62/0.76  
% 0.62/0.76  % (19229)Memory used [KB]: 992
% 0.62/0.76  % (19229)Time elapsed: 0.003 s
% 0.62/0.76  % (19229)Instructions burned: 3 (million)
% 0.62/0.76  % (19226)Success in time 0.392 s
% 0.62/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------