TSTP Solution File: SYO041_8 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO041_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 09:02:24 EDT 2024

% Result   : Theorem 0.56s 0.74s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   66 (   1 unt;   2 typ;   0 def)
%            Number of atoms       :  247 (   8 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  196 (  77   ~;  96   |;   9   &)
%                                         (  13 <=>;   0  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of FOOLs       :   64 (  64 fml;   0 var)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   21 (  18 usr;  18 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_2,type,
    f: $o > $o ).

tff(pred_def_3,type,
    g: $o > $o ).

tff(f104,plain,
    $false,
    inference(avatar_sat_refutation,[],[f42,f43,f48,f55,f56,f58,f59,f72,f77,f78,f79,f85,f86,f92,f93,f94,f95,f96,f97,f98,f99,f100,f101,f102,f103]) ).

tff(f103,plain,
    ( spl4_10
    | ~ spl4_8
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f4,f35,f74,f89]) ).

tff(f89,plain,
    ( spl4_10
  <=> sP3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).

tff(f74,plain,
    ( spl4_8
  <=> f($true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).

tff(f35,plain,
    ( spl4_1
  <=> x ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

tff(f4,plain,
    ( ~ x
    | ~ f($true)
    | sP3 ),
    inference(cnf_transformation,[],[f3]) ).

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

tff(f2,negated_conjecture,
    ~ ~ ( ( f(f(f(x))) = g(f(x)) )
        & ( g(y) = x )
        & ( g(x) = y )
        & ( x != y ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ~ ( ( f(f(f(x))) = g(f(x)) )
      & ( g(y) = x )
      & ( g(x) = y )
      & ( x != y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',3) ).

tff(f102,plain,
    ( spl4_10
    | ~ spl4_5
    | spl4_1 ),
    inference(avatar_split_clause,[],[f5,f35,f61,f89]) ).

tff(f61,plain,
    ( spl4_5
  <=> f($false) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).

tff(f5,plain,
    ( x
    | ~ f($false)
    | sP3 ),
    inference(cnf_transformation,[],[f3]) ).

tff(f101,plain,
    ( ~ spl4_10
    | spl4_8
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f6,f35,f74,f89]) ).

tff(f6,plain,
    ( ~ x
    | f($true)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f3]) ).

tff(f100,plain,
    ( ~ spl4_10
    | spl4_5
    | spl4_1 ),
    inference(avatar_split_clause,[],[f7,f35,f61,f89]) ).

tff(f7,plain,
    ( x
    | f($false)
    | ~ sP3 ),
    inference(cnf_transformation,[],[f3]) ).

tff(f99,plain,
    ( spl4_9
    | ~ spl4_8
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f8,f35,f74,f81]) ).

tff(f81,plain,
    ( spl4_9
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).

tff(f8,plain,
    ( ~ x
    | ~ f($true)
    | sP2 ),
    inference(cnf_transformation,[],[f3]) ).

tff(f98,plain,
    ( spl4_9
    | ~ spl4_5
    | spl4_1 ),
    inference(avatar_split_clause,[],[f9,f35,f61,f81]) ).

tff(f9,plain,
    ( x
    | ~ f($false)
    | sP2 ),
    inference(cnf_transformation,[],[f3]) ).

tff(f97,plain,
    ( ~ spl4_9
    | spl4_8
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f10,f35,f74,f81]) ).

tff(f10,plain,
    ( ~ x
    | f($true)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f3]) ).

tff(f96,plain,
    ( ~ spl4_9
    | spl4_5
    | spl4_1 ),
    inference(avatar_split_clause,[],[f11,f35,f61,f81]) ).

tff(f11,plain,
    ( x
    | f($false)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f3]) ).

tff(f95,plain,
    ( spl4_6
    | ~ spl4_8
    | ~ spl4_10 ),
    inference(avatar_split_clause,[],[f12,f89,f74,f65]) ).

tff(f65,plain,
    ( spl4_6
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).

tff(f12,plain,
    ( ~ sP3
    | ~ f($true)
    | sP1 ),
    inference(cnf_transformation,[],[f3]) ).

tff(f94,plain,
    ( spl4_6
    | ~ spl4_5
    | spl4_10 ),
    inference(avatar_split_clause,[],[f13,f89,f61,f65]) ).

tff(f13,plain,
    ( sP3
    | ~ f($false)
    | sP1 ),
    inference(cnf_transformation,[],[f3]) ).

tff(f93,plain,
    ( ~ spl4_6
    | spl4_8
    | ~ spl4_10 ),
    inference(avatar_split_clause,[],[f14,f89,f74,f65]) ).

tff(f14,plain,
    ( ~ sP3
    | f($true)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f3]) ).

tff(f92,plain,
    ( ~ spl4_6
    | spl4_5
    | spl4_10 ),
    inference(avatar_split_clause,[],[f15,f89,f61,f65]) ).

tff(f15,plain,
    ( sP3
    | f($false)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f3]) ).

tff(f86,plain,
    ( spl4_7
    | ~ spl4_3
    | spl4_9 ),
    inference(avatar_split_clause,[],[f17,f81,f45,f69]) ).

tff(f69,plain,
    ( spl4_7
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).

tff(f45,plain,
    ( spl4_3
  <=> g($false) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

tff(f17,plain,
    ( sP2
    | ~ g($false)
    | sP0 ),
    inference(cnf_transformation,[],[f3]) ).

tff(f85,plain,
    ( ~ spl4_7
    | spl4_4
    | ~ spl4_9 ),
    inference(avatar_split_clause,[],[f18,f81,f50,f69]) ).

tff(f50,plain,
    ( spl4_4
  <=> g($true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

tff(f18,plain,
    ( ~ sP2
    | g($true)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f3]) ).

tff(f79,plain,
    ( ~ spl4_8
    | ~ spl4_6
    | spl4_7 ),
    inference(avatar_split_clause,[],[f20,f69,f65,f74]) ).

tff(f20,plain,
    ( sP0
    | ~ sP1
    | ~ f($true) ),
    inference(cnf_transformation,[],[f3]) ).

tff(f78,plain,
    ( ~ spl4_5
    | spl4_6
    | spl4_7 ),
    inference(avatar_split_clause,[],[f21,f69,f65,f61]) ).

tff(f21,plain,
    ( sP0
    | sP1
    | ~ f($false) ),
    inference(cnf_transformation,[],[f3]) ).

tff(f77,plain,
    ( spl4_8
    | ~ spl4_6
    | ~ spl4_7 ),
    inference(avatar_split_clause,[],[f22,f69,f65,f74]) ).

tff(f22,plain,
    ( ~ sP0
    | ~ sP1
    | f($true) ),
    inference(cnf_transformation,[],[f3]) ).

tff(f72,plain,
    ( spl4_5
    | spl4_6
    | ~ spl4_7 ),
    inference(avatar_split_clause,[],[f23,f69,f65,f61]) ).

tff(f23,plain,
    ( ~ sP0
    | sP1
    | f($false) ),
    inference(cnf_transformation,[],[f3]) ).

tff(f59,plain,
    ( ~ spl4_4
    | ~ spl4_2
    | spl4_1 ),
    inference(avatar_split_clause,[],[f24,f35,f39,f50]) ).

tff(f39,plain,
    ( spl4_2
  <=> y ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

tff(f24,plain,
    ( x
    | ~ y
    | ~ g($true) ),
    inference(cnf_transformation,[],[f3]) ).

tff(f58,plain,
    ( ~ spl4_3
    | spl4_2
    | spl4_1 ),
    inference(avatar_split_clause,[],[f25,f35,f39,f45]) ).

tff(f25,plain,
    ( x
    | y
    | ~ g($false) ),
    inference(cnf_transformation,[],[f3]) ).

tff(f56,plain,
    ( spl4_3
    | spl4_2
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f27,f35,f39,f45]) ).

tff(f27,plain,
    ( ~ x
    | y
    | g($false) ),
    inference(cnf_transformation,[],[f3]) ).

tff(f55,plain,
    ( ~ spl4_4
    | ~ spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f28,f39,f35,f50]) ).

tff(f28,plain,
    ( y
    | ~ x
    | ~ g($true) ),
    inference(cnf_transformation,[],[f3]) ).

tff(f48,plain,
    ( spl4_3
    | spl4_1
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f31,f39,f35,f45]) ).

tff(f31,plain,
    ( ~ y
    | x
    | g($false) ),
    inference(cnf_transformation,[],[f3]) ).

tff(f43,plain,
    ( spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f32,f39,f35]) ).

tff(f32,plain,
    ( y
    | x ),
    inference(cnf_transformation,[],[f3]) ).

tff(f42,plain,
    ( ~ spl4_1
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f33,f39,f35]) ).

tff(f33,plain,
    ( ~ y
    | ~ x ),
    inference(cnf_transformation,[],[f3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYO041_8 : TPTP v8.2.0. Released v8.0.0.
% 0.11/0.14  % 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
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon May 20 10:54:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a TX0_THM_EQU_NAR problem
% 0.14/0.35  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
% 0.56/0.74  % (4843)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 (2996ds/56Mi)
% 0.56/0.74  % (4843)Refutation not found, incomplete strategy% (4843)------------------------------
% 0.56/0.74  % (4843)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (4843)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (4843)Memory used [KB]: 958
% 0.56/0.74  % (4843)Time elapsed: 0.002 s
% 0.56/0.74  % (4843)Instructions burned: 2 (million)
% 0.56/0.74  % (4836)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 (2996ds/34Mi)
% 0.56/0.74  % (4838)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.56/0.74  % (4843)------------------------------
% 0.56/0.74  % (4843)------------------------------
% 0.56/0.74  % (4837)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 (2996ds/51Mi)
% 0.56/0.74  % (4840)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 (2996ds/34Mi)
% 0.56/0.74  % (4841)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.56/0.74  % (4839)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.56/0.74  % (4842)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 (2996ds/83Mi)
% 0.56/0.74  % (4840)Refutation not found, incomplete strategy% (4840)------------------------------
% 0.56/0.74  % (4840)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (4840)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (4840)Memory used [KB]: 963
% 0.56/0.74  % (4840)Time elapsed: 0.003 s
% 0.56/0.74  % (4840)Instructions burned: 3 (million)
% 0.56/0.74  % (4836)Refutation not found, incomplete strategy% (4836)------------------------------
% 0.56/0.74  % (4836)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (4839)Refutation not found, incomplete strategy% (4839)------------------------------
% 0.56/0.74  % (4839)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (4836)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (4836)Memory used [KB]: 985
% 0.56/0.74  % (4836)Time elapsed: 0.003 s
% 0.56/0.74  % (4836)Instructions burned: 3 (million)
% 0.56/0.74  % (4839)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (4839)Memory used [KB]: 965
% 0.56/0.74  % (4842)First to succeed.
% 0.56/0.74  % (4841)Refutation not found, incomplete strategy% (4841)------------------------------
% 0.56/0.74  % (4841)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (4841)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (4841)Memory used [KB]: 964
% 0.56/0.74  % (4841)Time elapsed: 0.003 s
% 0.56/0.74  % (4841)Instructions burned: 3 (million)
% 0.56/0.74  % (4839)Time elapsed: 0.003 s
% 0.56/0.74  % (4839)Instructions burned: 3 (million)
% 0.56/0.74  % (4840)------------------------------
% 0.56/0.74  % (4840)------------------------------
% 0.56/0.74  % (4838)Refutation not found, incomplete strategy% (4838)------------------------------
% 0.56/0.74  % (4838)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (4836)------------------------------
% 0.56/0.74  % (4836)------------------------------
% 0.56/0.74  % (4838)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (4838)Memory used [KB]: 968
% 0.56/0.74  % (4838)Time elapsed: 0.003 s
% 0.56/0.74  % (4838)Instructions burned: 3 (million)
% 0.56/0.74  % (4841)------------------------------
% 0.56/0.74  % (4841)------------------------------
% 0.56/0.74  % (4839)------------------------------
% 0.56/0.74  % (4839)------------------------------
% 0.56/0.74  % (4838)------------------------------
% 0.56/0.74  % (4838)------------------------------
% 0.56/0.74  % (4842)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4676"
% 0.56/0.74  % (4842)Refutation found. Thanks to Tanya!
% 0.56/0.74  % SZS status Theorem for theBenchmark
% 0.56/0.74  % SZS output start Proof for theBenchmark
% See solution above
% 0.56/0.74  % (4842)------------------------------
% 0.56/0.74  % (4842)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (4842)Termination reason: Refutation
% 0.56/0.74  
% 0.56/0.74  % (4842)Memory used [KB]: 975
% 0.56/0.74  % (4842)Time elapsed: 0.004 s
% 0.56/0.74  % (4842)Instructions burned: 4 (million)
% 0.56/0.74  % (4676)Success in time 0.382 s
% 0.56/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------