TSTP Solution File: SYN345-1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN345-1 : TPTP v8.1.2. Released v1.2.0.
% 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 : n008.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 : Wed May  1 04:34:03 EDT 2024

% Result   : Unsatisfiable 0.56s 0.75s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   36 (   1 unt;   0 def)
%            Number of atoms       :   89 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   94 (  41   ~;  46   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   8 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   27 (  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f51,plain,
    $false,
    inference(avatar_sat_refutation,[],[f20,f28,f32,f36,f37,f41,f42,f44,f46,f48,f50]) ).

fof(f50,plain,
    ( ~ spl0_1
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f49]) ).

fof(f49,plain,
    ( $false
    | ~ spl0_1
    | spl0_3 ),
    inference(resolution,[],[f11,f18]) ).

fof(f18,plain,
    ( ~ f(a,b,b)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f17]) ).

fof(f17,plain,
    ( spl0_3
  <=> f(a,b,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f11,plain,
    ( ! [X0] : f(a,b,X0)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f10]) ).

fof(f10,plain,
    ( spl0_1
  <=> ! [X0] : f(a,b,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f48,plain,
    ( ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f47]) ).

fof(f47,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(resolution,[],[f35,f40]) ).

fof(f40,plain,
    ( ! [X0] : ~ f(b,b,X0)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f39]) ).

fof(f39,plain,
    ( spl0_8
  <=> ! [X0] : ~ f(b,b,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f35,plain,
    ( ! [X0,X1] : f(X0,X1,z(X0,X1))
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f34]) ).

fof(f34,plain,
    ( spl0_7
  <=> ! [X0,X1] : f(X0,X1,z(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f46,plain,
    ( ~ spl0_5
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f45]) ).

fof(f45,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f40,f27]) ).

fof(f27,plain,
    ( ! [X0,X1] : f(b,X0,X1)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f26]) ).

fof(f26,plain,
    ( spl0_5
  <=> ! [X0,X1] : f(b,X0,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f44,plain,
    ( ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f43]) ).

fof(f43,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(resolution,[],[f31,f27]) ).

fof(f31,plain,
    ( ! [X0,X1] : ~ f(X0,z(X0,X1),z(X0,X1))
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f30]) ).

fof(f30,plain,
    ( spl0_6
  <=> ! [X0,X1] : ~ f(X0,z(X0,X1),z(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f42,plain,
    ( spl0_8
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f8,f17,f13,f39]) ).

fof(f13,plain,
    ( spl0_2
  <=> f(a,a,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f8,axiom,
    ! [X0] :
      ( ~ f(a,b,b)
      | ~ f(a,a,b)
      | ~ f(b,b,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.nkmqMWcZ8g/Vampire---4.8_14393',clause8) ).

fof(f41,plain,
    ( spl0_8
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f7,f17,f13,f39]) ).

fof(f7,axiom,
    ! [X0] :
      ( f(a,b,b)
      | f(a,a,b)
      | ~ f(b,b,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.nkmqMWcZ8g/Vampire---4.8_14393',clause7) ).

fof(f37,plain,
    ( spl0_7
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f6,f17,f13,f34]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ~ f(a,b,b)
      | ~ f(a,a,b)
      | f(X0,X1,z(X0,X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.nkmqMWcZ8g/Vampire---4.8_14393',clause6) ).

fof(f36,plain,
    ( spl0_7
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f5,f17,f13,f34]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( f(a,b,b)
      | f(a,a,b)
      | f(X0,X1,z(X0,X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.nkmqMWcZ8g/Vampire---4.8_14393',clause5) ).

fof(f32,plain,
    ( spl0_6
    | spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f4,f17,f13,f30]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( ~ f(a,b,b)
      | f(a,a,b)
      | ~ f(X0,z(X0,X1),z(X0,X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.nkmqMWcZ8g/Vampire---4.8_14393',clause4) ).

fof(f28,plain,
    ( spl0_5
    | spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f3,f17,f13,f26]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ f(a,b,b)
      | f(a,a,b)
      | f(b,X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.nkmqMWcZ8g/Vampire---4.8_14393',clause3) ).

fof(f20,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f1,f17,f13,f10]) ).

fof(f1,axiom,
    ! [X0] :
      ( f(a,b,b)
      | ~ f(a,a,b)
      | f(a,b,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.nkmqMWcZ8g/Vampire---4.8_14393',clause1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SYN345-1 : TPTP v8.1.2. Released v1.2.0.
% 0.11/0.15  % 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 : n008.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   : Tue Apr 30 17:25:42 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.nkmqMWcZ8g/Vampire---4.8_14393
% 0.56/0.74  % (14601)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  % (14603)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)
% 0.56/0.75  % (14603)First to succeed.
% 0.56/0.75  % (14596)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)
% 0.56/0.75  % (14598)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75  % (14597)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)
% 0.56/0.75  % (14599)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)
% 0.56/0.75  % (14600)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)
% 0.56/0.75  % (14601)Also succeeded, but the first one will report.
% 0.56/0.75  % (14602)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)
% 0.56/0.75  % (14603)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  % (14603)------------------------------
% 0.56/0.75  % (14603)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75  % (14603)Termination reason: Refutation
% 0.56/0.75  
% 0.56/0.75  % (14603)Memory used [KB]: 980
% 0.56/0.75  % (14603)Time elapsed: 0.002 s
% 0.56/0.75  % (14603)Instructions burned: 3 (million)
% 0.56/0.75  % (14603)------------------------------
% 0.56/0.75  % (14603)------------------------------
% 0.56/0.75  % (14564)Success in time 0.381 s
% 0.56/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------