TSTP Solution File: SYO500_8 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO500_8 : TPTP v8.2.0. Released v8.0.0.
% 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 : n018.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 09:05:32 EDT 2024

% Result   : Theorem 0.69s 0.89s
% Output   : Refutation 0.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   44 (   3 unt;   1 typ;   0 def)
%            Number of atoms       :  153 (   2 equ)
%            Maximal formula atoms :    3 (   3 avg)
%            Number of connectives :  122 (  50   ~;  64   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of FOOLs       :   38 (  38 fml;   0 var)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   14 (  11 usr;  12 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_1,type,
    f: $o > $o ).

tff(f61,plain,
    $false,
    inference(avatar_sat_refutation,[],[f33,f38,f39,f40,f45,f46,f47,f48,f53,f54,f55,f56,f57,f58,f59,f60]) ).

tff(f60,plain,
    ( spl3_6
    | ~ spl3_4
    | ~ spl3_5 ),
    inference(avatar_split_clause,[],[f5,f42,f35,f50]) ).

tff(f50,plain,
    ( spl3_6
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).

tff(f35,plain,
    ( spl3_4
  <=> f($true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

tff(f42,plain,
    ( spl3_5
  <=> x ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).

tff(f5,plain,
    ( ~ x
    | ~ f($true)
    | sP2 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f4,plain,
    ( f(f(f(x)))
  <~> f(x) ),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,plain,
    ~ ( f(f(f(x)))
    <=> f(x) ),
    inference(flattening,[],[f2]) ).

tff(f2,negated_conjecture,
    f(f(f(x))) != f(x),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    f(f(f(x))) = f(x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

tff(f59,plain,
    ( spl3_6
    | ~ spl3_1
    | spl3_5 ),
    inference(avatar_split_clause,[],[f6,f42,f22,f50]) ).

tff(f22,plain,
    ( spl3_1
  <=> f($false) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

tff(f6,plain,
    ( x
    | ~ f($false)
    | sP2 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f58,plain,
    ( ~ spl3_6
    | spl3_4
    | ~ spl3_5 ),
    inference(avatar_split_clause,[],[f7,f42,f35,f50]) ).

tff(f7,plain,
    ( ~ x
    | f($true)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f57,plain,
    ( ~ spl3_6
    | spl3_1
    | spl3_5 ),
    inference(avatar_split_clause,[],[f8,f42,f22,f50]) ).

tff(f8,plain,
    ( x
    | f($false)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f56,plain,
    ( spl3_2
    | ~ spl3_4
    | ~ spl3_6 ),
    inference(avatar_split_clause,[],[f9,f50,f35,f26]) ).

tff(f26,plain,
    ( spl3_2
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

tff(f9,plain,
    ( ~ sP2
    | ~ f($true)
    | sP1 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f55,plain,
    ( spl3_2
    | ~ spl3_1
    | spl3_6 ),
    inference(avatar_split_clause,[],[f10,f50,f22,f26]) ).

tff(f10,plain,
    ( sP2
    | ~ f($false)
    | sP1 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f54,plain,
    ( ~ spl3_2
    | spl3_4
    | ~ spl3_6 ),
    inference(avatar_split_clause,[],[f11,f50,f35,f26]) ).

tff(f11,plain,
    ( ~ sP2
    | f($true)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f53,plain,
    ( ~ spl3_2
    | spl3_1
    | spl3_6 ),
    inference(avatar_split_clause,[],[f12,f50,f22,f26]) ).

tff(f12,plain,
    ( sP2
    | f($false)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f48,plain,
    ( spl3_3
    | ~ spl3_4
    | ~ spl3_5 ),
    inference(avatar_split_clause,[],[f13,f42,f35,f30]) ).

tff(f30,plain,
    ( spl3_3
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

tff(f13,plain,
    ( ~ x
    | ~ f($true)
    | sP0 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f47,plain,
    ( spl3_3
    | ~ spl3_1
    | spl3_5 ),
    inference(avatar_split_clause,[],[f14,f42,f22,f30]) ).

tff(f14,plain,
    ( x
    | ~ f($false)
    | sP0 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f46,plain,
    ( ~ spl3_3
    | spl3_4
    | ~ spl3_5 ),
    inference(avatar_split_clause,[],[f15,f42,f35,f30]) ).

tff(f15,plain,
    ( ~ x
    | f($true)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f45,plain,
    ( ~ spl3_3
    | spl3_1
    | spl3_5 ),
    inference(avatar_split_clause,[],[f16,f42,f22,f30]) ).

tff(f16,plain,
    ( x
    | f($false)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f4]) ).

tff(f40,plain,
    ( ~ spl3_4
    | ~ spl3_2
    | ~ spl3_3 ),
    inference(avatar_split_clause,[],[f17,f30,f26,f35]) ).

tff(f17,plain,
    ( ~ sP0
    | ~ sP1
    | ~ f($true) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f39,plain,
    ( ~ spl3_1
    | spl3_2
    | ~ spl3_3 ),
    inference(avatar_split_clause,[],[f18,f30,f26,f22]) ).

tff(f18,plain,
    ( ~ sP0
    | sP1
    | ~ f($false) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f38,plain,
    ( spl3_4
    | ~ spl3_2
    | spl3_3 ),
    inference(avatar_split_clause,[],[f19,f30,f26,f35]) ).

tff(f19,plain,
    ( sP0
    | ~ sP1
    | f($true) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f33,plain,
    ( spl3_1
    | spl3_2
    | spl3_3 ),
    inference(avatar_split_clause,[],[f20,f30,f26,f22]) ).

tff(f20,plain,
    ( sP0
    | sP1
    | f($false) ),
    inference(cnf_transformation,[],[f4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYO500_8 : TPTP v8.2.0. Released v8.0.0.
% 0.07/0.15  % 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
% 0.15/0.38  % Computer : n018.cluster.edu
% 0.15/0.38  % Model    : x86_64 x86_64
% 0.15/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38  % Memory   : 8042.1875MB
% 0.15/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38  % CPULimit   : 300
% 0.15/0.38  % WCLimit    : 300
% 0.15/0.38  % DateTime   : Mon May 20 11:03:23 EDT 2024
% 0.15/0.38  % CPUTime    : 
% 0.15/0.38  This is a TX0_THM_EQU_NAR problem
% 0.15/0.38  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/benchmark/theBenchmark.p
% 0.69/0.89  % (19236)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)
% 0.69/0.89  % (19237)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)
% 0.69/0.89  % (19239)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)
% 0.69/0.89  % (19241)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)
% 0.69/0.89  % (19238)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.69/0.89  % (19240)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)
% 0.69/0.89  % (19242)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)
% 0.69/0.89  % (19243)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)
% 0.69/0.89  % (19240)Refutation not found, incomplete strategy% (19240)------------------------------
% 0.69/0.89  % (19240)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.89  % (19239)Refutation not found, incomplete strategy% (19239)------------------------------
% 0.69/0.89  % (19239)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.89  % (19239)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.89  
% 0.69/0.89  % (19239)Memory used [KB]: 953
% 0.69/0.89  % (19239)Time elapsed: 0.003 s
% 0.69/0.89  % (19239)Instructions burned: 2 (million)
% 0.69/0.89  % (19240)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.89  
% 0.69/0.89  % (19240)Memory used [KB]: 952
% 0.69/0.89  % (19242)First to succeed.
% 0.69/0.89  % (19240)Time elapsed: 0.003 s
% 0.69/0.89  % (19240)Instructions burned: 2 (million)
% 0.69/0.89  % (19236)Refutation not found, incomplete strategy% (19236)------------------------------
% 0.69/0.89  % (19236)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.89  % (19236)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.89  
% 0.69/0.89  % (19236)Memory used [KB]: 970
% 0.69/0.89  % (19236)Time elapsed: 0.003 s
% 0.69/0.89  % (19236)Instructions burned: 2 (million)
% 0.69/0.89  % (19239)------------------------------
% 0.69/0.89  % (19239)------------------------------
% 0.69/0.89  % (19243)Refutation not found, incomplete strategy% (19243)------------------------------
% 0.69/0.89  % (19243)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.89  % (19243)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.89  
% 0.69/0.89  % (19243)Memory used [KB]: 952
% 0.69/0.89  % (19243)Time elapsed: 0.002 s
% 0.69/0.89  % (19243)Instructions burned: 2 (million)
% 0.69/0.89  % (19240)------------------------------
% 0.69/0.89  % (19240)------------------------------
% 0.69/0.89  % (19236)------------------------------
% 0.69/0.89  % (19236)------------------------------
% 0.69/0.89  % (19243)------------------------------
% 0.69/0.89  % (19243)------------------------------
% 0.69/0.89  % (19242)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19235"
% 0.69/0.89  % (19241)Refutation not found, incomplete strategy% (19241)------------------------------
% 0.69/0.89  % (19241)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.89  % (19241)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.89  
% 0.69/0.89  % (19241)Memory used [KB]: 955
% 0.69/0.89  % (19241)Time elapsed: 0.004 s
% 0.69/0.89  % (19242)Refutation found. Thanks to Tanya!
% 0.69/0.89  % SZS status Theorem for theBenchmark
% 0.69/0.89  % SZS output start Proof for theBenchmark
% See solution above
% 0.69/0.89  % (19242)------------------------------
% 0.69/0.89  % (19242)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.89  % (19242)Termination reason: Refutation
% 0.69/0.89  
% 0.69/0.89  % (19242)Memory used [KB]: 964
% 0.69/0.89  % (19242)Time elapsed: 0.004 s
% 0.69/0.89  % (19242)Instructions burned: 3 (million)
% 0.69/0.89  % (19235)Success in time 0.502 s
% 0.69/0.89  % Vampire---4.8 exiting
%------------------------------------------------------------------------------