TSTP Solution File: SYN059+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN059+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : n009.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 : Wed May  1 04:33:07 EDT 2024

% Result   : Theorem 0.55s 0.73s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   81 (   8 unt;   0 def)
%            Number of atoms       :  217 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  227 (  91   ~;  92   |;  13   &)
%                                         (  20 <=>;   9  =>;   0  <=;   2 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   24 (  23 usr;  19 prp; 0-1 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   48 (  45   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f150,plain,
    $false,
    inference(avatar_sat_refutation,[],[f38,f42,f50,f54,f58,f67,f72,f73,f78,f83,f92,f108,f115,f133,f138,f142,f149]) ).

fof(f149,plain,
    ~ spl10_3,
    inference(avatar_contradiction_clause,[],[f143]) ).

fof(f143,plain,
    ( $false
    | ~ spl10_3 ),
    inference(unit_resulting_resolution,[],[f22,f37]) ).

fof(f37,plain,
    ( ! [X3] : ~ big_g(X3)
    | ~ spl10_3 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f36,plain,
    ( spl10_3
  <=> ! [X3] : ~ big_g(X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).

fof(f22,plain,
    big_g(sK7),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ? [X0] : big_g(X0),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ? [X1] : big_g(X1),
    file('/export/starexec/sandbox/tmp/tmp.odbOxFVSoD/Vampire---4.8_17097',pel29_2) ).

fof(f142,plain,
    ( ~ spl10_4
    | ~ spl10_13
    | spl10_15 ),
    inference(avatar_contradiction_clause,[],[f141]) ).

fof(f141,plain,
    ( $false
    | ~ spl10_4
    | ~ spl10_13
    | spl10_15 ),
    inference(subsumption_resolution,[],[f140,f91]) ).

fof(f91,plain,
    ( ~ big_h(sK3)
    | spl10_15 ),
    inference(avatar_component_clause,[],[f89]) ).

fof(f89,plain,
    ( spl10_15
  <=> big_h(sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_15])]) ).

fof(f140,plain,
    ( big_h(sK3)
    | ~ spl10_4
    | ~ spl10_13 ),
    inference(unit_resulting_resolution,[],[f82,f41]) ).

fof(f41,plain,
    ( ! [X2] :
        ( big_h(X2)
        | ~ big_f(X2) )
    | ~ spl10_4 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f40,plain,
    ( spl10_4
  <=> ! [X2] :
        ( ~ big_f(X2)
        | big_h(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).

fof(f82,plain,
    ( big_f(sK3)
    | ~ spl10_13 ),
    inference(avatar_component_clause,[],[f80]) ).

fof(f80,plain,
    ( spl10_13
  <=> big_f(sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_13])]) ).

fof(f138,plain,
    ( spl10_14
    | ~ spl10_8
    | ~ spl10_12 ),
    inference(avatar_split_clause,[],[f137,f75,f56,f85]) ).

fof(f85,plain,
    ( spl10_14
  <=> big_j(sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_14])]) ).

fof(f56,plain,
    ( spl10_8
  <=> ! [X0] : sP5(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).

fof(f75,plain,
    ( spl10_12
  <=> big_g(sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_12])]) ).

fof(f137,plain,
    ( big_j(sK4)
    | ~ spl10_8
    | ~ spl10_12 ),
    inference(unit_resulting_resolution,[],[f57,f77,f14]) ).

fof(f14,plain,
    ! [X0] :
      ( ~ sP5(X0)
      | big_j(X0)
      | ~ big_g(X0) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,plain,
    ( ( ! [X0] :
          ( big_j(X0)
          | ~ big_g(X0) )
      & ! [X1] :
          ( big_h(X1)
          | ~ big_f(X1) ) )
  <~> ! [X2,X3] :
        ( ( big_j(X3)
          & big_h(X2) )
        | ~ big_g(X3)
        | ~ big_f(X2) ) ),
    inference(flattening,[],[f7]) ).

fof(f7,plain,
    ( ( ! [X0] :
          ( big_j(X0)
          | ~ big_g(X0) )
      & ! [X1] :
          ( big_h(X1)
          | ~ big_f(X1) ) )
  <~> ! [X2,X3] :
        ( ( big_j(X3)
          & big_h(X2) )
        | ~ big_g(X3)
        | ~ big_f(X2) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,plain,
    ~ ( ( ! [X0] :
            ( big_g(X0)
           => big_j(X0) )
        & ! [X1] :
            ( big_f(X1)
           => big_h(X1) ) )
    <=> ! [X2,X3] :
          ( ( big_g(X3)
            & big_f(X2) )
         => ( big_j(X3)
            & big_h(X2) ) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,negated_conjecture,
    ~ ( ( ! [X2] :
            ( big_g(X2)
           => big_j(X2) )
        & ! [X0] :
            ( big_f(X0)
           => big_h(X0) ) )
    <=> ! [X3,X1] :
          ( ( big_g(X1)
            & big_f(X3) )
         => ( big_j(X1)
            & big_h(X3) ) ) ),
    inference(negated_conjecture,[],[f3]) ).

fof(f3,conjecture,
    ( ( ! [X2] :
          ( big_g(X2)
         => big_j(X2) )
      & ! [X0] :
          ( big_f(X0)
         => big_h(X0) ) )
  <=> ! [X3,X1] :
        ( ( big_g(X1)
          & big_f(X3) )
       => ( big_j(X1)
          & big_h(X3) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.odbOxFVSoD/Vampire---4.8_17097',pel29) ).

fof(f77,plain,
    ( big_g(sK4)
    | ~ spl10_12 ),
    inference(avatar_component_clause,[],[f75]) ).

fof(f57,plain,
    ( ! [X0] : sP5(X0)
    | ~ spl10_8 ),
    inference(avatar_component_clause,[],[f56]) ).

fof(f133,plain,
    ( spl10_10
    | ~ spl10_4
    | ~ spl10_11 ),
    inference(avatar_split_clause,[],[f122,f69,f40,f64]) ).

fof(f64,plain,
    ( spl10_10
  <=> big_h(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_10])]) ).

fof(f69,plain,
    ( spl10_11
  <=> big_f(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_11])]) ).

fof(f122,plain,
    ( big_h(sK1)
    | ~ spl10_4
    | ~ spl10_11 ),
    inference(unit_resulting_resolution,[],[f71,f41]) ).

fof(f71,plain,
    ( big_f(sK1)
    | ~ spl10_11 ),
    inference(avatar_component_clause,[],[f69]) ).

fof(f115,plain,
    ~ spl10_7,
    inference(avatar_contradiction_clause,[],[f112]) ).

fof(f112,plain,
    ( $false
    | ~ spl10_7 ),
    inference(unit_resulting_resolution,[],[f21,f53]) ).

fof(f53,plain,
    ( ! [X2] : ~ big_f(X2)
    | ~ spl10_7 ),
    inference(avatar_component_clause,[],[f52]) ).

fof(f52,plain,
    ( spl10_7
  <=> ! [X2] : ~ big_f(X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).

fof(f21,plain,
    big_f(sK6),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ? [X0] : big_f(X0),
    file('/export/starexec/sandbox/tmp/tmp.odbOxFVSoD/Vampire---4.8_17097',pel29_1) ).

fof(f108,plain,
    ( ~ spl10_6
    | spl10_9 ),
    inference(avatar_contradiction_clause,[],[f107]) ).

fof(f107,plain,
    ( $false
    | ~ spl10_6
    | spl10_9 ),
    inference(subsumption_resolution,[],[f101,f93]) ).

fof(f93,plain,
    ( big_g(sK2)
    | spl10_9 ),
    inference(unit_resulting_resolution,[],[f62,f12]) ).

fof(f12,plain,
    ! [X0] :
      ( sP5(X0)
      | big_g(X0) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f62,plain,
    ( ~ sP5(sK2)
    | spl10_9 ),
    inference(avatar_component_clause,[],[f60]) ).

fof(f60,plain,
    ( spl10_9
  <=> sP5(sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_9])]) ).

fof(f101,plain,
    ( ~ big_g(sK2)
    | ~ spl10_6
    | spl10_9 ),
    inference(resolution,[],[f49,f95]) ).

fof(f95,plain,
    ( ~ big_j(sK2)
    | spl10_9 ),
    inference(unit_resulting_resolution,[],[f62,f13]) ).

fof(f13,plain,
    ! [X0] :
      ( sP5(X0)
      | ~ big_j(X0) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f49,plain,
    ( ! [X3] :
        ( big_j(X3)
        | ~ big_g(X3) )
    | ~ spl10_6 ),
    inference(avatar_component_clause,[],[f48]) ).

fof(f48,plain,
    ( spl10_6
  <=> ! [X3] :
        ( ~ big_g(X3)
        | big_j(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).

fof(f92,plain,
    ( spl10_2
    | ~ spl10_14
    | ~ spl10_15 ),
    inference(avatar_split_clause,[],[f11,f89,f85,f32]) ).

fof(f32,plain,
    ( spl10_2
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).

fof(f11,plain,
    ( ~ big_h(sK3)
    | ~ big_j(sK4)
    | sP0 ),
    inference(cnf_transformation,[],[f8]) ).

fof(f83,plain,
    ( spl10_2
    | spl10_13 ),
    inference(avatar_split_clause,[],[f15,f80,f32]) ).

fof(f15,plain,
    ( big_f(sK3)
    | sP0 ),
    inference(cnf_transformation,[],[f8]) ).

fof(f78,plain,
    ( spl10_2
    | spl10_12 ),
    inference(avatar_split_clause,[],[f16,f75,f32]) ).

fof(f16,plain,
    ( big_g(sK4)
    | sP0 ),
    inference(cnf_transformation,[],[f8]) ).

fof(f73,plain,
    ( spl10_4
    | spl10_2 ),
    inference(avatar_split_clause,[],[f17,f32,f40]) ).

fof(f17,plain,
    ! [X1] :
      ( sP0
      | ~ big_f(X1)
      | big_h(X1) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f72,plain,
    ( ~ spl10_9
    | spl10_11
    | ~ spl10_2 ),
    inference(avatar_split_clause,[],[f18,f32,f69,f60]) ).

fof(f18,plain,
    ( ~ sP0
    | big_f(sK1)
    | ~ sP5(sK2) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f67,plain,
    ( ~ spl10_9
    | ~ spl10_10
    | ~ spl10_2 ),
    inference(avatar_split_clause,[],[f19,f32,f64,f60]) ).

fof(f19,plain,
    ( ~ sP0
    | ~ big_h(sK1)
    | ~ sP5(sK2) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f58,plain,
    ( spl10_8
    | spl10_2 ),
    inference(avatar_split_clause,[],[f20,f32,f56]) ).

fof(f20,plain,
    ! [X0] :
      ( sP0
      | sP5(X0) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f54,plain,
    ( spl10_5
    | spl10_7 ),
    inference(avatar_split_clause,[],[f23,f52,f44]) ).

fof(f44,plain,
    ( spl10_5
  <=> sP8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).

fof(f23,plain,
    ! [X2] :
      ( ~ big_f(X2)
      | sP8 ),
    inference(cnf_transformation,[],[f23_D]) ).

fof(f23_D,plain,
    ( ! [X2] : ~ big_f(X2)
  <=> ~ sP8 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP8])]) ).

fof(f50,plain,
    ( ~ spl10_5
    | ~ spl10_2
    | spl10_6 ),
    inference(avatar_split_clause,[],[f24,f48,f32,f44]) ).

fof(f24,plain,
    ! [X3] :
      ( ~ big_g(X3)
      | big_j(X3)
      | ~ sP0
      | ~ sP8 ),
    inference(general_splitting,[],[f10,f23_D]) ).

fof(f10,plain,
    ! [X2,X3] :
      ( ~ big_f(X2)
      | ~ big_g(X3)
      | big_j(X3)
      | ~ sP0 ),
    inference(cnf_transformation,[],[f8]) ).

fof(f42,plain,
    ( spl10_1
    | spl10_4 ),
    inference(avatar_split_clause,[],[f25,f40,f28]) ).

fof(f28,plain,
    ( spl10_1
  <=> sP9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).

fof(f25,plain,
    ! [X2] :
      ( ~ big_f(X2)
      | big_h(X2)
      | sP9 ),
    inference(cnf_transformation,[],[f25_D]) ).

fof(f25_D,plain,
    ( ! [X2] :
        ( ~ big_f(X2)
        | big_h(X2) )
  <=> ~ sP9 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP9])]) ).

fof(f38,plain,
    ( ~ spl10_1
    | ~ spl10_2
    | spl10_3 ),
    inference(avatar_split_clause,[],[f26,f36,f32,f28]) ).

fof(f26,plain,
    ! [X3] :
      ( ~ big_g(X3)
      | ~ sP0
      | ~ sP9 ),
    inference(general_splitting,[],[f9,f25_D]) ).

fof(f9,plain,
    ! [X2,X3] :
      ( ~ big_f(X2)
      | ~ big_g(X3)
      | big_h(X2)
      | ~ sP0 ),
    inference(cnf_transformation,[],[f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN059+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.14  % 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
% 0.15/0.35  % Computer : n009.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
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Apr 30 17:20:56 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a FOF_THM_EPR_NEQ problem
% 0.15/0.36  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/tmp/tmp.odbOxFVSoD/Vampire---4.8_17097
% 0.55/0.73  % (17338)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)
% 0.55/0.73  % (17332)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)
% 0.55/0.73  % (17334)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.73  % (17335)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)
% 0.55/0.73  % (17336)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)
% 0.55/0.73  % (17333)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)
% 0.55/0.73  % (17337)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)
% 0.55/0.73  % (17338)First to succeed.
% 0.55/0.73  % (17332)Also succeeded, but the first one will report.
% 0.55/0.73  % (17338)Refutation found. Thanks to Tanya!
% 0.55/0.73  % SZS status Theorem for Vampire---4
% 0.55/0.73  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.73  % (17338)------------------------------
% 0.55/0.73  % (17338)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.73  % (17338)Termination reason: Refutation
% 0.55/0.73  
% 0.55/0.73  % (17338)Memory used [KB]: 1011
% 0.55/0.73  % (17338)Time elapsed: 0.004 s
% 0.55/0.73  % (17338)Instructions burned: 5 (million)
% 0.55/0.73  % (17338)------------------------------
% 0.55/0.73  % (17338)------------------------------
% 0.55/0.73  % (17328)Success in time 0.366 s
% 0.55/0.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------