TSTP Solution File: MGT053+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : MGT053+1 : TPTP v8.2.0. Released v2.4.0.
% 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 : n017.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 00:42:27 EDT 2024

% Result   : Theorem 0.60s 0.75s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   51 (   1 unt;   0 def)
%            Number of atoms       :  167 (   0 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  193 (  77   ~;  85   |;  15   &)
%                                         (  13 <=>;   1  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   6 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   48 (  39   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f97,plain,
    $false,
    inference(avatar_sat_refutation,[],[f43,f44,f61,f63,f74,f79,f86,f87,f88,f89,f93,f96]) ).

fof(f96,plain,
    ( ~ spl3_5
    | ~ spl3_4
    | spl3_3
    | spl3_2 ),
    inference(avatar_split_clause,[],[f94,f40,f54,f58,f71]) ).

fof(f71,plain,
    ( spl3_5
  <=> organization(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).

fof(f58,plain,
    ( spl3_4
  <=> is_aligned(sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

fof(f54,plain,
    ( spl3_3
  <=> is_aligned(sK0,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

fof(f40,plain,
    ( spl3_2
  <=> dissimilar(sK0,sK2,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f94,plain,
    ( is_aligned(sK0,sK2)
    | ~ is_aligned(sK0,sK1)
    | ~ organization(sK0)
    | spl3_2 ),
    inference(resolution,[],[f42,f32]) ).

fof(f32,plain,
    ! [X2,X0,X1] :
      ( dissimilar(X0,X1,X2)
      | is_aligned(X0,X1)
      | ~ is_aligned(X0,X2)
      | ~ organization(X0) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0,X1,X2] :
      ( ( dissimilar(X0,X1,X2)
        | ( ( is_aligned(X0,X1)
            | ~ is_aligned(X0,X2) )
          & ( is_aligned(X0,X2)
            | ~ is_aligned(X0,X1) ) )
        | ~ organization(X0) )
      & ( ( ( ~ is_aligned(X0,X2)
            | ~ is_aligned(X0,X1) )
          & ( is_aligned(X0,X2)
            | is_aligned(X0,X1) )
          & organization(X0) )
        | ~ dissimilar(X0,X1,X2) ) ),
    inference(flattening,[],[f19]) ).

fof(f19,plain,
    ! [X0,X1,X2] :
      ( ( dissimilar(X0,X1,X2)
        | ( ( is_aligned(X0,X1)
            | ~ is_aligned(X0,X2) )
          & ( is_aligned(X0,X2)
            | ~ is_aligned(X0,X1) ) )
        | ~ organization(X0) )
      & ( ( ( ~ is_aligned(X0,X2)
            | ~ is_aligned(X0,X1) )
          & ( is_aligned(X0,X2)
            | is_aligned(X0,X1) )
          & organization(X0) )
        | ~ dissimilar(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X0,X1,X2] :
      ( dissimilar(X0,X1,X2)
    <=> ( ( is_aligned(X0,X1)
        <~> is_aligned(X0,X2) )
        & organization(X0) ) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,plain,
    ! [X0,X1,X2] :
      ( dissimilar(X0,X1,X2)
    <=> ( ~ ( is_aligned(X0,X1)
          <=> is_aligned(X0,X2) )
        & organization(X0) ) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X3,X4] :
      ( dissimilar(X0,X3,X4)
    <=> ( ~ ( is_aligned(X0,X3)
          <=> is_aligned(X0,X4) )
        & organization(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2) ).

fof(f42,plain,
    ( ~ dissimilar(sK0,sK2,sK1)
    | spl3_2 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f93,plain,
    ( spl3_5
    | ~ spl3_1 ),
    inference(avatar_split_clause,[],[f92,f36,f71]) ).

fof(f36,plain,
    ( spl3_1
  <=> dissimilar(sK0,sK1,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f92,plain,
    ( organization(sK0)
    | ~ spl3_1 ),
    inference(resolution,[],[f37,f28]) ).

fof(f28,plain,
    ! [X2,X0,X1] :
      ( ~ dissimilar(X0,X1,X2)
      | organization(X0) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f37,plain,
    ( dissimilar(sK0,sK1,sK2)
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f89,plain,
    ( spl3_4
    | spl3_3
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f77,f40,f54,f58]) ).

fof(f77,plain,
    ( is_aligned(sK0,sK2)
    | is_aligned(sK0,sK1)
    | ~ spl3_2 ),
    inference(resolution,[],[f41,f29]) ).

fof(f29,plain,
    ! [X2,X0,X1] :
      ( ~ dissimilar(X0,X1,X2)
      | is_aligned(X0,X1)
      | is_aligned(X0,X2) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f41,plain,
    ( dissimilar(sK0,sK2,sK1)
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f88,plain,
    ( ~ spl3_5
    | ~ spl3_4
    | spl3_3
    | spl3_1 ),
    inference(avatar_split_clause,[],[f75,f36,f54,f58,f71]) ).

fof(f75,plain,
    ( is_aligned(sK0,sK2)
    | ~ is_aligned(sK0,sK1)
    | ~ organization(sK0)
    | spl3_1 ),
    inference(resolution,[],[f38,f31]) ).

fof(f31,plain,
    ! [X2,X0,X1] :
      ( dissimilar(X0,X1,X2)
      | is_aligned(X0,X2)
      | ~ is_aligned(X0,X1)
      | ~ organization(X0) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f38,plain,
    ( ~ dissimilar(sK0,sK1,sK2)
    | spl3_1 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f87,plain,
    ( ~ spl3_4
    | ~ spl3_3
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f76,f40,f54,f58]) ).

fof(f76,plain,
    ( ~ is_aligned(sK0,sK2)
    | ~ is_aligned(sK0,sK1)
    | ~ spl3_2 ),
    inference(resolution,[],[f41,f30]) ).

fof(f30,plain,
    ! [X2,X0,X1] :
      ( ~ dissimilar(X0,X1,X2)
      | ~ is_aligned(X0,X1)
      | ~ is_aligned(X0,X2) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f86,plain,
    ( ~ spl3_5
    | ~ spl3_3
    | spl3_4
    | spl3_1 ),
    inference(avatar_split_clause,[],[f83,f36,f58,f54,f71]) ).

fof(f83,plain,
    ( is_aligned(sK0,sK1)
    | ~ is_aligned(sK0,sK2)
    | ~ organization(sK0)
    | spl3_1 ),
    inference(resolution,[],[f32,f38]) ).

fof(f79,plain,
    ( spl3_5
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f78,f40,f71]) ).

fof(f78,plain,
    ( organization(sK0)
    | ~ spl3_2 ),
    inference(resolution,[],[f41,f28]) ).

fof(f74,plain,
    ( ~ spl3_5
    | ~ spl3_3
    | spl3_4
    | spl3_2 ),
    inference(avatar_split_clause,[],[f64,f40,f58,f54,f71]) ).

fof(f64,plain,
    ( is_aligned(sK0,sK1)
    | ~ is_aligned(sK0,sK2)
    | ~ organization(sK0)
    | spl3_2 ),
    inference(resolution,[],[f31,f42]) ).

fof(f63,plain,
    ( ~ spl3_3
    | ~ spl3_4
    | ~ spl3_1 ),
    inference(avatar_split_clause,[],[f62,f36,f58,f54]) ).

fof(f62,plain,
    ( ~ is_aligned(sK0,sK1)
    | ~ is_aligned(sK0,sK2)
    | ~ spl3_1 ),
    inference(resolution,[],[f30,f37]) ).

fof(f61,plain,
    ( spl3_3
    | spl3_4
    | ~ spl3_1 ),
    inference(avatar_split_clause,[],[f52,f36,f58,f54]) ).

fof(f52,plain,
    ( is_aligned(sK0,sK1)
    | is_aligned(sK0,sK2)
    | ~ spl3_1 ),
    inference(resolution,[],[f29,f37]) ).

fof(f44,plain,
    ( spl3_1
    | spl3_2 ),
    inference(avatar_split_clause,[],[f33,f40,f36]) ).

fof(f33,plain,
    ( dissimilar(sK0,sK2,sK1)
    | dissimilar(sK0,sK1,sK2) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,plain,
    ( ( ~ dissimilar(sK0,sK2,sK1)
      | ~ dissimilar(sK0,sK1,sK2) )
    & ( dissimilar(sK0,sK2,sK1)
      | dissimilar(sK0,sK1,sK2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f21,f22]) ).

fof(f22,plain,
    ( ? [X0,X1,X2] :
        ( ( ~ dissimilar(X0,X2,X1)
          | ~ dissimilar(X0,X1,X2) )
        & ( dissimilar(X0,X2,X1)
          | dissimilar(X0,X1,X2) ) )
   => ( ( ~ dissimilar(sK0,sK2,sK1)
        | ~ dissimilar(sK0,sK1,sK2) )
      & ( dissimilar(sK0,sK2,sK1)
        | dissimilar(sK0,sK1,sK2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f21,plain,
    ? [X0,X1,X2] :
      ( ( ~ dissimilar(X0,X2,X1)
        | ~ dissimilar(X0,X1,X2) )
      & ( dissimilar(X0,X2,X1)
        | dissimilar(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f18]) ).

fof(f18,plain,
    ? [X0,X1,X2] :
      ( dissimilar(X0,X1,X2)
    <~> dissimilar(X0,X2,X1) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,plain,
    ~ ! [X0,X1,X2] :
        ( dissimilar(X0,X1,X2)
      <=> dissimilar(X0,X2,X1) ),
    inference(rectify,[],[f9]) ).

fof(f9,negated_conjecture,
    ~ ! [X0,X5,X6] :
        ( dissimilar(X0,X5,X6)
      <=> dissimilar(X0,X6,X5) ),
    inference(negated_conjecture,[],[f8]) ).

fof(f8,conjecture,
    ! [X0,X5,X6] :
      ( dissimilar(X0,X5,X6)
    <=> dissimilar(X0,X6,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_7) ).

fof(f43,plain,
    ( ~ spl3_1
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f34,f40,f36]) ).

fof(f34,plain,
    ( ~ dissimilar(sK0,sK2,sK1)
    | ~ dissimilar(sK0,sK1,sK2) ),
    inference(cnf_transformation,[],[f23]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : MGT053+1 : TPTP v8.2.0. Released v2.4.0.
% 0.12/0.14  % 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
% 0.14/0.36  % Computer : n017.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sun May 19 00:01:08 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_EPR_SEQ problem
% 0.14/0.36  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/benchmark/theBenchmark.p
% 0.57/0.75  % (28334)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)
% 0.57/0.75  % (28337)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)
% 0.57/0.75  % (28335)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.57/0.75  % (28338)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)
% 0.57/0.75  % (28336)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)
% 0.57/0.75  % (28340)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)
% 0.57/0.75  % (28339)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)
% 0.57/0.75  % (28338)Refutation not found, incomplete strategy% (28338)------------------------------
% 0.57/0.75  % (28338)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (28338)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (28336)Refutation not found, incomplete strategy% (28336)------------------------------
% 0.57/0.75  % (28336)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (28336)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (28336)Memory used [KB]: 968
% 0.57/0.75  % (28336)Time elapsed: 0.002 s
% 0.57/0.75  % (28336)Instructions burned: 2 (million)
% 0.57/0.75  % (28338)Memory used [KB]: 968
% 0.57/0.75  % (28338)Time elapsed: 0.002 s
% 0.57/0.75  % (28338)Instructions burned: 2 (million)
% 0.57/0.75  % (28340)Refutation not found, incomplete strategy% (28340)------------------------------
% 0.57/0.75  % (28340)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (28340)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (28340)Memory used [KB]: 968
% 0.57/0.75  % (28340)Time elapsed: 0.002 s
% 0.57/0.75  % (28340)Instructions burned: 2 (million)
% 0.57/0.75  % (28336)------------------------------
% 0.57/0.75  % (28336)------------------------------
% 0.57/0.75  % (28339)Refutation not found, incomplete strategy% (28339)------------------------------
% 0.57/0.75  % (28339)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (28338)------------------------------
% 0.57/0.75  % (28338)------------------------------
% 0.57/0.75  % (28339)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (28339)Memory used [KB]: 967
% 0.57/0.75  % (28339)Time elapsed: 0.002 s
% 0.57/0.75  % (28339)Instructions burned: 2 (million)
% 0.57/0.75  % (28340)------------------------------
% 0.57/0.75  % (28340)------------------------------
% 0.57/0.75  % (28337)Also succeeded, but the first one will report.
% 0.57/0.75  % (28334)First to succeed.
% 0.57/0.75  % (28339)------------------------------
% 0.57/0.75  % (28339)------------------------------
% 0.60/0.75  % (28334)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28332"
% 0.60/0.75  % (28334)Refutation found. Thanks to Tanya!
% 0.60/0.75  % SZS status Theorem for theBenchmark
% 0.60/0.75  % SZS output start Proof for theBenchmark
% See solution above
% 0.60/0.75  % (28334)------------------------------
% 0.60/0.75  % (28334)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.75  % (28334)Termination reason: Refutation
% 0.60/0.75  
% 0.60/0.75  % (28334)Memory used [KB]: 1018
% 0.60/0.75  % (28334)Time elapsed: 0.003 s
% 0.60/0.75  % (28334)Instructions burned: 5 (million)
% 0.60/0.75  % (28332)Success in time 0.386 s
% 0.60/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------