TSTP Solution File: SYN082-1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN082-1 : 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 : n029.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 11:55:59 EDT 2024

% Result   : Unsatisfiable 0.56s 0.74s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   28 (   1 unt;   0 def)
%            Number of atoms       :   73 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   84 (  39   ~;  40   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   6 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f41,plain,
    $false,
    inference(avatar_sat_refutation,[],[f16,f21,f27,f31,f32,f33,f37,f40]) ).

fof(f40,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f39]) ).

fof(f39,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f12,f38]) ).

fof(f38,plain,
    ( ! [X1] : ~ big_f(a,X1)
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f24,f30]) ).

fof(f30,plain,
    ( ! [X1] :
        ( ~ big_f(a,X1)
        | ~ big_f(g(X1),X1) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f29]) ).

fof(f29,plain,
    ( spl0_5
  <=> ! [X1] :
        ( ~ big_f(a,X1)
        | ~ big_f(g(X1),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f24,plain,
    ( ! [X1] :
        ( ~ big_f(a,X1)
        | big_f(g(X1),X1) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f23]) ).

fof(f23,plain,
    ( spl0_4
  <=> ! [X1] :
        ( ~ big_f(a,X1)
        | big_f(g(X1),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f12,plain,
    ( big_f(a,f(a))
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f10]) ).

fof(f10,plain,
    ( spl0_1
  <=> big_f(a,f(a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f37,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f34,f18,f14,f10]) ).

fof(f14,plain,
    ( spl0_2
  <=> ! [X0] :
        ( big_f(X0,f(a))
        | ~ big_f(X0,b) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f18,plain,
    ( spl0_3
  <=> big_f(a,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f34,plain,
    ( big_f(a,f(a))
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(resolution,[],[f15,f20]) ).

fof(f20,plain,
    ( big_f(a,b)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f18]) ).

fof(f15,plain,
    ( ! [X0] :
        ( ~ big_f(X0,b)
        | big_f(X0,f(a)) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f14]) ).

fof(f33,plain,
    ( spl0_5
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f8,f10,f29]) ).

fof(f8,axiom,
    ! [X1] :
      ( ~ big_f(a,f(a))
      | ~ big_f(a,X1)
      | ~ big_f(g(X1),X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.vrORVpAsMH/Vampire---4.8_18158',clause_8) ).

fof(f32,plain,
    ( spl0_5
    | spl0_3 ),
    inference(avatar_split_clause,[],[f7,f18,f29]) ).

fof(f7,axiom,
    ! [X1] :
      ( big_f(a,b)
      | ~ big_f(a,X1)
      | ~ big_f(g(X1),X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.vrORVpAsMH/Vampire---4.8_18158',clause_7) ).

fof(f31,plain,
    ( spl0_5
    | spl0_2 ),
    inference(avatar_split_clause,[],[f6,f14,f29]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( big_f(X0,f(a))
      | ~ big_f(X0,b)
      | ~ big_f(a,X1)
      | ~ big_f(g(X1),X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.vrORVpAsMH/Vampire---4.8_18158',clause_6) ).

fof(f27,plain,
    ( spl0_4
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f5,f10,f23]) ).

fof(f5,axiom,
    ! [X1] :
      ( ~ big_f(a,f(a))
      | ~ big_f(a,X1)
      | big_f(g(X1),X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.vrORVpAsMH/Vampire---4.8_18158',clause_5) ).

fof(f21,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f2,f18,f10]) ).

fof(f2,axiom,
    ( big_f(a,b)
    | big_f(a,f(a)) ),
    file('/export/starexec/sandbox2/tmp/tmp.vrORVpAsMH/Vampire---4.8_18158',clause_2) ).

fof(f16,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f1,f14,f10]) ).

fof(f1,axiom,
    ! [X0] :
      ( big_f(X0,f(a))
      | ~ big_f(X0,b)
      | big_f(a,f(a)) ),
    file('/export/starexec/sandbox2/tmp/tmp.vrORVpAsMH/Vampire---4.8_18158',clause_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem    : SYN082-1 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.14  % 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
% 0.15/0.35  % Computer : n029.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 17:51:23 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.vrORVpAsMH/Vampire---4.8_18158
% 0.56/0.74  % (18552)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)
% 0.56/0.74  % (18552)First to succeed.
% 0.56/0.74  % (18545)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)
% 0.56/0.74  % (18546)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)
% 0.56/0.74  % (18547)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74  % (18548)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)
% 0.56/0.74  % (18549)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)
% 0.56/0.74  % (18552)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18430"
% 0.56/0.74  % (18550)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  % (18551)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)
% 0.56/0.74  % (18552)Refutation found. Thanks to Tanya!
% 0.56/0.74  % SZS status Unsatisfiable for Vampire---4
% 0.56/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.74  % (18552)------------------------------
% 0.56/0.74  % (18552)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (18552)Termination reason: Refutation
% 0.56/0.74  
% 0.56/0.74  % (18552)Memory used [KB]: 992
% 0.56/0.74  % (18552)Time elapsed: 0.002 s
% 0.56/0.74  % (18552)Instructions burned: 3 (million)
% 0.56/0.74  % (18430)Success in time 0.377 s
% 0.56/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------