TSTP Solution File: SYO040_8 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO040_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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n008.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 0.61s 0.78s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   58 (   4 unt;   3 typ;   0 def)
%            Number of atoms       :  206 (  13 equ)
%            Maximal formula atoms :    4 (   3 avg)
%            Number of connectives :  171 (  76   ~;  86   |;   0   &)
%                                         (   9 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of FOOLs       :   73 (  57 fml;  16 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   17 (  14 usr;  14 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :    8 (   8   !;   0   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    h: $o > $i ).

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

tff(pred_def_3,type,
    sP0: $o > $o ).

tff(f84,plain,
    $false,
    inference(avatar_sat_refutation,[],[f31,f36,f40,f41,f50,f51,f56,f57,f62,f63,f64,f65,f66,f67,f68,f69,f75,f83]) ).

tff(f83,plain,
    ( ~ spl3_1
    | ~ spl3_7 ),
    inference(avatar_contradiction_clause,[],[f82]) ).

tff(f82,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_7 ),
    inference(trivial_inequality_removal,[],[f78]) ).

tff(f78,plain,
    ( ( h($false) != h($false) )
    | ~ spl3_1
    | ~ spl3_7 ),
    inference(unit_resulting_resolution,[],[f49,f22]) ).

tff(f22,plain,
    ( ! [X1: $o] :
        ( ~ sP0((X1))
        | ( h((X1)) != h($false) ) )
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f21]) ).

tff(f21,plain,
    ( spl3_1
  <=> ! [X1: $o] :
        ( ~ sP0((X1))
        | ( h((X1)) != h($false) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

tff(f49,plain,
    ( sP0($false)
    | ~ spl3_7 ),
    inference(avatar_component_clause,[],[f47]) ).

tff(f47,plain,
    ( spl3_7
  <=> sP0($false) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).

tff(f75,plain,
    ( ~ spl3_5
    | ~ spl3_8 ),
    inference(avatar_contradiction_clause,[],[f74]) ).

tff(f74,plain,
    ( $false
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(trivial_inequality_removal,[],[f70]) ).

tff(f70,plain,
    ( ( h($true) != h($true) )
    | ~ spl3_5
    | ~ spl3_8 ),
    inference(unit_resulting_resolution,[],[f55,f39]) ).

tff(f39,plain,
    ( ! [X1: $o] :
        ( ~ sP0((X1))
        | ( h((X1)) != h($true) ) )
    | ~ spl3_5 ),
    inference(avatar_component_clause,[],[f38]) ).

tff(f38,plain,
    ( spl3_5
  <=> ! [X1: $o] :
        ( ~ sP0((X1))
        | ( h((X1)) != h($true) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).

tff(f55,plain,
    ( sP0($true)
    | ~ spl3_8 ),
    inference(avatar_component_clause,[],[f53]) ).

tff(f53,plain,
    ( spl3_8
  <=> sP0($true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).

tff(f69,plain,
    ( spl3_9
    | ~ spl3_4
    | ~ spl3_3 ),
    inference(avatar_split_clause,[],[f4,f28,f33,f59]) ).

tff(f59,plain,
    ( spl3_9
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).

tff(f33,plain,
    ( spl3_4
  <=> f($true) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

tff(f28,plain,
    ( spl3_3
  <=> x ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

tff(f4,plain,
    ( ~ x
    | ~ f($true)
    | sP2 ),
    inference(cnf_transformation,[],[f3]) ).

tff(f3,plain,
    h(f(f(f(x)))) != h(f(x)),
    inference(flattening,[],[f2]) ).

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

tff(f1,conjecture,
    h(f(f(f(x)))) = h(f(x)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',2) ).

tff(f68,plain,
    ( spl3_9
    | ~ spl3_2
    | spl3_3 ),
    inference(avatar_split_clause,[],[f5,f28,f24,f59]) ).

tff(f24,plain,
    ( spl3_2
  <=> f($false) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

tff(f5,plain,
    ( x
    | ~ f($false)
    | sP2 ),
    inference(cnf_transformation,[],[f3]) ).

tff(f67,plain,
    ( ~ spl3_9
    | spl3_4
    | ~ spl3_3 ),
    inference(avatar_split_clause,[],[f6,f28,f33,f59]) ).

tff(f6,plain,
    ( ~ x
    | f($true)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f3]) ).

tff(f66,plain,
    ( ~ spl3_9
    | spl3_2
    | spl3_3 ),
    inference(avatar_split_clause,[],[f7,f28,f24,f59]) ).

tff(f7,plain,
    ( x
    | f($false)
    | ~ sP2 ),
    inference(cnf_transformation,[],[f3]) ).

tff(f65,plain,
    ( spl3_6
    | ~ spl3_4
    | ~ spl3_9 ),
    inference(avatar_split_clause,[],[f8,f59,f33,f43]) ).

tff(f43,plain,
    ( spl3_6
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).

tff(f8,plain,
    ( ~ sP2
    | ~ f($true)
    | sP1 ),
    inference(cnf_transformation,[],[f3]) ).

tff(f64,plain,
    ( spl3_6
    | ~ spl3_2
    | spl3_9 ),
    inference(avatar_split_clause,[],[f9,f59,f24,f43]) ).

tff(f9,plain,
    ( sP2
    | ~ f($false)
    | sP1 ),
    inference(cnf_transformation,[],[f3]) ).

tff(f63,plain,
    ( ~ spl3_6
    | spl3_4
    | ~ spl3_9 ),
    inference(avatar_split_clause,[],[f10,f59,f33,f43]) ).

tff(f10,plain,
    ( ~ sP2
    | f($true)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f3]) ).

tff(f62,plain,
    ( ~ spl3_6
    | spl3_2
    | spl3_9 ),
    inference(avatar_split_clause,[],[f11,f59,f24,f43]) ).

tff(f11,plain,
    ( sP2
    | f($false)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f3]) ).

tff(f57,plain,
    ( ~ spl3_4
    | ~ spl3_6
    | spl3_8 ),
    inference(avatar_split_clause,[],[f12,f53,f43,f33]) ).

tff(f12,plain,
    ( sP0($true)
    | ~ sP1
    | ~ f($true) ),
    inference(cnf_transformation,[],[f3]) ).

tff(f56,plain,
    ( ~ spl3_2
    | spl3_6
    | spl3_8 ),
    inference(avatar_split_clause,[],[f13,f53,f43,f24]) ).

tff(f13,plain,
    ( sP0($true)
    | sP1
    | ~ f($false) ),
    inference(cnf_transformation,[],[f3]) ).

tff(f51,plain,
    ( spl3_4
    | ~ spl3_6
    | spl3_7 ),
    inference(avatar_split_clause,[],[f14,f47,f43,f33]) ).

tff(f14,plain,
    ( sP0($false)
    | ~ sP1
    | f($true) ),
    inference(cnf_transformation,[],[f3]) ).

tff(f50,plain,
    ( spl3_2
    | spl3_6
    | spl3_7 ),
    inference(avatar_split_clause,[],[f15,f47,f43,f24]) ).

tff(f15,plain,
    ( sP0($false)
    | sP1
    | f($false) ),
    inference(cnf_transformation,[],[f3]) ).

tff(f41,plain,
    ( spl3_5
    | ~ spl3_4
    | ~ spl3_3 ),
    inference(avatar_split_clause,[],[f16,f28,f33,f38]) ).

tff(f16,plain,
    ! [X1: $o] :
      ( ~ x
      | ~ f($true)
      | ~ sP0((X1))
      | ( h((X1)) != h($true) ) ),
    inference(cnf_transformation,[],[f3]) ).

tff(f40,plain,
    ( spl3_5
    | ~ spl3_2
    | spl3_3 ),
    inference(avatar_split_clause,[],[f17,f28,f24,f38]) ).

tff(f17,plain,
    ! [X1: $o] :
      ( x
      | ~ f($false)
      | ~ sP0((X1))
      | ( h((X1)) != h($true) ) ),
    inference(cnf_transformation,[],[f3]) ).

tff(f36,plain,
    ( spl3_1
    | spl3_4
    | ~ spl3_3 ),
    inference(avatar_split_clause,[],[f18,f28,f33,f21]) ).

tff(f18,plain,
    ! [X1: $o] :
      ( ~ x
      | f($true)
      | ~ sP0((X1))
      | ( h((X1)) != h($false) ) ),
    inference(cnf_transformation,[],[f3]) ).

tff(f31,plain,
    ( spl3_1
    | spl3_2
    | spl3_3 ),
    inference(avatar_split_clause,[],[f19,f28,f24,f21]) ).

tff(f19,plain,
    ! [X1: $o] :
      ( x
      | f($false)
      | ~ sP0((X1))
      | ( h((X1)) != h($false) ) ),
    inference(cnf_transformation,[],[f3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYO040_8 : TPTP v8.2.0. Released v8.0.0.
% 0.03/0.13  % 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
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon May 20 10:38:07 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  This is a TX0_THM_EQU_NAR problem
% 0.13/0.34  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
% 0.61/0.77  % (15417)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)
% 0.61/0.77  % (15418)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)
% 0.61/0.77  % (15419)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)
% 0.61/0.77  % (15420)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)
% 0.61/0.77  % (15417)Refutation not found, incomplete strategy% (15417)------------------------------
% 0.61/0.77  % (15417)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (15417)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (15417)Memory used [KB]: 968
% 0.61/0.77  % (15417)Time elapsed: 0.002 s
% 0.61/0.77  % (15417)Instructions burned: 2 (million)
% 0.61/0.77  % (15413)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)
% 0.61/0.77  % (15417)------------------------------
% 0.61/0.77  % (15417)------------------------------
% 0.61/0.77  % (15414)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)
% 0.61/0.77  % (15420)Refutation not found, incomplete strategy% (15420)------------------------------
% 0.61/0.77  % (15420)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (15420)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (15420)Memory used [KB]: 952
% 0.61/0.77  % (15420)Time elapsed: 0.002 s
% 0.61/0.77  % (15420)Instructions burned: 2 (million)
% 0.61/0.77  % (15418)Refutation not found, incomplete strategy% (15418)------------------------------
% 0.61/0.77  % (15418)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (15418)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (15418)Memory used [KB]: 955
% 0.61/0.77  % (15418)Time elapsed: 0.003 s
% 0.61/0.77  % (15418)Instructions burned: 2 (million)
% 0.61/0.77  % (15420)------------------------------
% 0.61/0.77  % (15420)------------------------------
% 0.61/0.77  % (15418)------------------------------
% 0.61/0.77  % (15418)------------------------------
% 0.61/0.77  % (15419)First to succeed.
% 0.61/0.77  % (15413)Refutation not found, incomplete strategy% (15413)------------------------------
% 0.61/0.77  % (15413)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (15413)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (15413)Memory used [KB]: 969
% 0.61/0.77  % (15413)Time elapsed: 0.003 s
% 0.61/0.77  % (15413)Instructions burned: 2 (million)
% 0.61/0.77  % (15413)------------------------------
% 0.61/0.77  % (15413)------------------------------
% 0.61/0.77  % (15419)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15412"
% 0.61/0.78  % (15419)Refutation found. Thanks to Tanya!
% 0.61/0.78  % SZS status Theorem for theBenchmark
% 0.61/0.78  % SZS output start Proof for theBenchmark
% See solution above
% 0.61/0.78  % (15419)------------------------------
% 0.61/0.78  % (15419)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78  % (15419)Termination reason: Refutation
% 0.61/0.78  
% 0.61/0.78  % (15419)Memory used [KB]: 989
% 0.61/0.78  % (15419)Time elapsed: 0.004 s
% 0.61/0.78  % (15419)Instructions burned: 4 (million)
% 0.61/0.78  % (15412)Success in time 0.426 s
% 0.61/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------