TSTP Solution File: SYN084-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN084-2 : TPTP v8.2.0. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n025.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 : Tue May 21 08:20:52 EDT 2024

% Result   : Unsatisfiable 0.68s 0.86s
% Output   : Refutation 0.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   38 (   3 unt;   0 def)
%            Number of atoms       :   95 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   97 (  40   ~;  48   |;   0   &)
%                                         (   9 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :   11 (  10 usr;  10 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f58,plain,
    $false,
    inference(avatar_sat_refutation,[],[f15,f19,f28,f45,f46,f47,f49,f51,f53,f56,f57]) ).

fof(f57,plain,
    ( spl0_9
    | ~ spl0_1
    | spl0_5 ),
    inference(avatar_split_clause,[],[f55,f25,f9,f42]) ).

fof(f42,plain,
    ( spl0_9
  <=> big_p(sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f9,plain,
    ( spl0_1
  <=> ! [X0] :
        ( big_p(X0)
        | big_p(f(f(X0))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f25,plain,
    ( spl0_5
  <=> big_p(f(f(sk2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f55,plain,
    ( big_p(sk2)
    | ~ spl0_1
    | spl0_5 ),
    inference(resolution,[],[f27,f10]) ).

fof(f10,plain,
    ( ! [X0] :
        ( big_p(f(f(X0)))
        | big_p(X0) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f9]) ).

fof(f27,plain,
    ( ~ big_p(f(f(sk2)))
    | spl0_5 ),
    inference(avatar_component_clause,[],[f25]) ).

fof(f56,plain,
    ( ~ spl0_7
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f54,f25,f17,f34]) ).

fof(f34,plain,
    ( spl0_7
  <=> big_p(f(sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f17,plain,
    ( spl0_3
  <=> ! [X0] :
        ( ~ big_p(f(X0))
        | big_p(f(f(X0))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f54,plain,
    ( ~ big_p(f(sk2))
    | ~ spl0_3
    | spl0_5 ),
    inference(resolution,[],[f27,f18]) ).

fof(f18,plain,
    ( ! [X0] :
        ( big_p(f(f(X0)))
        | ~ big_p(f(X0)) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f17]) ).

fof(f53,plain,
    ( ~ spl0_6
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f52,f21,f17,f30]) ).

fof(f30,plain,
    ( spl0_6
  <=> big_p(f(sk1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f21,plain,
    ( spl0_4
  <=> big_p(f(f(sk1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f52,plain,
    ( ~ big_p(f(sk1))
    | ~ spl0_3
    | spl0_4 ),
    inference(resolution,[],[f18,f23]) ).

fof(f23,plain,
    ( ~ big_p(f(f(sk1)))
    | spl0_4 ),
    inference(avatar_component_clause,[],[f21]) ).

fof(f51,plain,
    ( spl0_8
    | ~ spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f50,f21,f9,f38]) ).

fof(f38,plain,
    ( spl0_8
  <=> big_p(sk1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f50,plain,
    ( big_p(sk1)
    | ~ spl0_1
    | spl0_4 ),
    inference(resolution,[],[f10,f23]) ).

fof(f49,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f48]) ).

fof(f48,plain,
    ( $false
    | spl0_2 ),
    inference(resolution,[],[f14,f1]) ).

fof(f1,axiom,
    big_p(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel62_1) ).

fof(f14,plain,
    ( ~ big_p(a)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f12]) ).

fof(f12,plain,
    ( spl0_2
  <=> big_p(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f47,plain,
    ( spl0_7
    | ~ spl0_9
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f7,f21,f42,f34]) ).

fof(f7,axiom,
    ( ~ big_p(f(f(sk1)))
    | ~ big_p(sk2)
    | big_p(f(sk2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel62_7) ).

fof(f46,plain,
    ( spl0_6
    | ~ spl0_8
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f6,f25,f38,f30]) ).

fof(f6,axiom,
    ( ~ big_p(f(f(sk2)))
    | ~ big_p(sk1)
    | big_p(f(sk1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel62_6) ).

fof(f45,plain,
    ( spl0_6
    | spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f5,f42,f38,f34,f30]) ).

fof(f5,axiom,
    ( ~ big_p(sk2)
    | ~ big_p(sk1)
    | big_p(f(sk2))
    | big_p(f(sk1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel62_5) ).

fof(f28,plain,
    ( ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f4,f25,f21]) ).

fof(f4,axiom,
    ( ~ big_p(f(f(sk2)))
    | ~ big_p(f(f(sk1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel62_4) ).

fof(f19,plain,
    ( spl0_3
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f3,f12,f17]) ).

fof(f3,axiom,
    ! [X0] :
      ( ~ big_p(a)
      | ~ big_p(f(X0))
      | big_p(f(f(X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel62_3) ).

fof(f15,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f2,f12,f9]) ).

fof(f2,axiom,
    ! [X0] :
      ( ~ big_p(a)
      | big_p(X0)
      | big_p(f(f(X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel62_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN084-2 : TPTP v8.2.0. Released v1.2.0.
% 0.13/0.14  % 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
% 0.13/0.35  % Computer : n025.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon May 20 15:07:23 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.20/0.35  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/benchmark/theBenchmark.p
% 0.68/0.86  % (10803)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 theBenchmark for (2995ds/83Mi)
% 0.68/0.86  % (10800)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.68/0.86  % (10799)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.68/0.86  % (10801)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 theBenchmark for (2995ds/34Mi)
% 0.68/0.86  % (10797)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 theBenchmark for (2995ds/34Mi)
% 0.68/0.86  % (10798)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 theBenchmark for (2995ds/51Mi)
% 0.68/0.86  % (10804)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.68/0.86  % (10802)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.68/0.86  % (10804)Also succeeded, but the first one will report.
% 0.68/0.86  % (10801)Also succeeded, but the first one will report.
% 0.68/0.86  % (10797)Also succeeded, but the first one will report.
% 0.68/0.86  % (10799)Also succeeded, but the first one will report.
% 0.68/0.86  % (10798)First to succeed.
% 0.68/0.86  % (10803)Also succeeded, but the first one will report.
% 0.68/0.86  % (10800)Also succeeded, but the first one will report.
% 0.68/0.86  % (10798)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10796"
% 0.68/0.86  % (10802)Also succeeded, but the first one will report.
% 0.68/0.86  % (10798)Refutation found. Thanks to Tanya!
% 0.68/0.86  % SZS status Unsatisfiable for theBenchmark
% 0.68/0.86  % SZS output start Proof for theBenchmark
% See solution above
% 0.68/0.86  % (10798)------------------------------
% 0.68/0.86  % (10798)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.86  % (10798)Termination reason: Refutation
% 0.68/0.86  
% 0.68/0.86  % (10798)Memory used [KB]: 982
% 0.68/0.86  % (10798)Time elapsed: 0.004 s
% 0.68/0.86  % (10798)Instructions burned: 3 (million)
% 0.68/0.86  % (10796)Success in time 0.503 s
% 0.68/0.86  % Vampire---4.8 exiting
%------------------------------------------------------------------------------