TSTP Solution File: SYN347-1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN347-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 : n028.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 04:34:04 EDT 2024

% Result   : Unsatisfiable 0.56s 0.75s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   29 (   1 unt;   0 def)
%            Number of atoms       :   73 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   81 (  37   ~;  39   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   6 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   30 (  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f60,plain,
    $false,
    inference(avatar_sat_refutation,[],[f14,f18,f22,f26,f35,f59]) ).

fof(f59,plain,
    ( ~ spl0_1
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f58]) ).

fof(f58,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f55,f56]) ).

fof(f56,plain,
    ( f(b,y(a,b))
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(unit_resulting_resolution,[],[f54,f17]) ).

fof(f17,plain,
    ( ! [X0,X1] :
        ( ~ f(X0,y(X0,X1))
        | f(X1,y(X0,X1)) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f16]) ).

fof(f16,plain,
    ( spl0_3
  <=> ! [X0,X1] :
        ( f(X1,y(X0,X1))
        | ~ f(X0,y(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f54,plain,
    ( f(a,y(a,b))
    | ~ spl0_1 ),
    inference(factoring,[],[f48]) ).

fof(f48,plain,
    ( ! [X0] :
        ( f(X0,y(X0,b))
        | f(a,y(X0,b)) )
    | ~ spl0_1 ),
    inference(resolution,[],[f9,f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( f(b,y(X0,X1))
      | f(a,y(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.pNO2m7IcSA/Vampire---4.8_29959',clause5) ).

fof(f9,plain,
    ( ! [X0,X1] :
        ( ~ f(X1,y(X0,X1))
        | f(X0,y(X0,X1)) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f8]) ).

fof(f8,plain,
    ( spl0_1
  <=> ! [X0,X1] :
        ( ~ f(X1,y(X0,X1))
        | f(X0,y(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f55,plain,
    ( ~ f(b,y(a,b))
    | ~ spl0_1 ),
    inference(unit_resulting_resolution,[],[f54,f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ~ f(b,y(X0,X1))
      | ~ f(a,y(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.pNO2m7IcSA/Vampire---4.8_29959',clause6) ).

fof(f35,plain,
    ( ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f34]) ).

fof(f34,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f33,f21]) ).

fof(f21,plain,
    ( ! [X0,X1] :
        ( ~ f(X0,y(X0,X1))
        | ~ f(X1,y(X0,X1)) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f20]) ).

fof(f20,plain,
    ( spl0_4
  <=> ! [X0,X1] :
        ( ~ f(X1,y(X0,X1))
        | ~ f(X0,y(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f33,plain,
    ( ! [X0] : f(X0,y(X0,X0))
    | ~ spl0_5 ),
    inference(factoring,[],[f25]) ).

fof(f25,plain,
    ( ! [X0,X1] :
        ( f(X1,y(X0,X1))
        | f(X0,y(X0,X1)) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f24]) ).

fof(f24,plain,
    ( spl0_5
  <=> ! [X0,X1] :
        ( f(X1,y(X0,X1))
        | f(X0,y(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f26,plain,
    ( spl0_5
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f4,f11,f24]) ).

fof(f11,plain,
    ( spl0_2
  <=> f(a,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( ~ f(a,b)
      | f(X1,y(X0,X1))
      | f(X0,y(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.pNO2m7IcSA/Vampire---4.8_29959',clause4) ).

fof(f22,plain,
    ( spl0_4
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f3,f11,f20]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ f(a,b)
      | ~ f(X1,y(X0,X1))
      | ~ f(X0,y(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.pNO2m7IcSA/Vampire---4.8_29959',clause3) ).

fof(f18,plain,
    ( spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f2,f11,f16]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( f(a,b)
      | f(X1,y(X0,X1))
      | ~ f(X0,y(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.pNO2m7IcSA/Vampire---4.8_29959',clause2) ).

fof(f14,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f1,f11,f8]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( f(a,b)
      | ~ f(X1,y(X0,X1))
      | f(X0,y(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.pNO2m7IcSA/Vampire---4.8_29959',clause1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : SYN347-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.16  % 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
% 0.15/0.37  % Computer : n028.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Tue Apr 30 17:44:45 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a CNF_UNS_RFO_NEQ_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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.pNO2m7IcSA/Vampire---4.8_29959
% 0.56/0.75  % (30222)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  % (30223)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  % (30216)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  % (30219)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  % (30217)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  % (30218)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  % (30222)First to succeed.
% 0.56/0.75  % (30220)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  % (30221)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)
% 0.56/0.75  % (30222)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  % (30222)------------------------------
% 0.56/0.75  % (30222)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75  % (30222)Termination reason: Refutation
% 0.56/0.75  
% 0.56/0.75  % (30222)Memory used [KB]: 988
% 0.56/0.75  % (30222)Time elapsed: 0.002 s
% 0.56/0.75  % (30222)Instructions burned: 4 (million)
% 0.56/0.75  % (30222)------------------------------
% 0.56/0.75  % (30222)------------------------------
% 0.56/0.75  % (30212)Success in time 0.373 s
% 0.56/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------