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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : MGT053+1 : TPTP v8.1.2. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n003.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 03:22:06 EDT 2024

% Result   : Theorem 0.54s 0.72s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   56 (   1 unt;   0 def)
%            Number of atoms       :  182 (   0 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  210 (  84   ~;  95   |;  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(f93,plain,
    $false,
    inference(avatar_sat_refutation,[],[f47,f48,f63,f64,f69,f70,f71,f78,f79,f80,f90,f92]) ).

fof(f92,plain,
    ( ~ spl4_4
    | spl4_5
    | spl4_2
    | ~ spl4_3 ),
    inference(avatar_split_clause,[],[f91,f52,f44,f60,f56]) ).

fof(f56,plain,
    ( spl4_4
  <=> is_aligned(sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

fof(f60,plain,
    ( spl4_5
  <=> is_aligned(sK0,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).

fof(f44,plain,
    ( spl4_2
  <=> dissimilar(sK0,sK2,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f52,plain,
    ( spl4_3
  <=> organization(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f91,plain,
    ( is_aligned(sK0,sK2)
    | ~ is_aligned(sK0,sK1)
    | spl4_2
    | ~ spl4_3 ),
    inference(subsumption_resolution,[],[f84,f53]) ).

fof(f53,plain,
    ( organization(sK0)
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f52]) ).

fof(f84,plain,
    ( is_aligned(sK0,sK2)
    | ~ is_aligned(sK0,sK1)
    | ~ organization(sK0)
    | spl4_2 ),
    inference(resolution,[],[f46,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/sandbox2/tmp/tmp.F2Fa0zLeOT/Vampire---4.8_24446',definition_2) ).

fof(f46,plain,
    ( ~ dissimilar(sK0,sK2,sK1)
    | spl4_2 ),
    inference(avatar_component_clause,[],[f44]) ).

fof(f90,plain,
    ( ~ spl4_5
    | spl4_4
    | spl4_2
    | ~ spl4_3 ),
    inference(avatar_split_clause,[],[f89,f52,f44,f56,f60]) ).

fof(f89,plain,
    ( is_aligned(sK0,sK1)
    | ~ is_aligned(sK0,sK2)
    | spl4_2
    | ~ spl4_3 ),
    inference(subsumption_resolution,[],[f83,f53]) ).

fof(f83,plain,
    ( is_aligned(sK0,sK1)
    | ~ is_aligned(sK0,sK2)
    | ~ organization(sK0)
    | spl4_2 ),
    inference(resolution,[],[f46,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(f80,plain,
    ( spl4_3
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f73,f40,f52]) ).

fof(f40,plain,
    ( spl4_1
  <=> dissimilar(sK0,sK1,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f73,plain,
    ( organization(sK0)
    | ~ spl4_1 ),
    inference(resolution,[],[f41,f28]) ).

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

fof(f41,plain,
    ( dissimilar(sK0,sK1,sK2)
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f79,plain,
    ( ~ spl4_4
    | ~ spl4_5
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f75,f40,f60,f56]) ).

fof(f75,plain,
    ( ~ is_aligned(sK0,sK2)
    | ~ is_aligned(sK0,sK1)
    | ~ spl4_1 ),
    inference(resolution,[],[f41,f30]) ).

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

fof(f78,plain,
    ( spl4_4
    | spl4_5
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f74,f40,f60,f56]) ).

fof(f74,plain,
    ( is_aligned(sK0,sK2)
    | is_aligned(sK0,sK1)
    | ~ spl4_1 ),
    inference(resolution,[],[f41,f29]) ).

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

fof(f71,plain,
    ( ~ spl4_5
    | ~ spl4_4
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f67,f44,f56,f60]) ).

fof(f67,plain,
    ( ~ is_aligned(sK0,sK1)
    | ~ is_aligned(sK0,sK2)
    | ~ spl4_2 ),
    inference(resolution,[],[f45,f30]) ).

fof(f45,plain,
    ( dissimilar(sK0,sK2,sK1)
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f44]) ).

fof(f70,plain,
    ( spl4_5
    | spl4_4
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f66,f44,f56,f60]) ).

fof(f66,plain,
    ( is_aligned(sK0,sK1)
    | is_aligned(sK0,sK2)
    | ~ spl4_2 ),
    inference(resolution,[],[f45,f29]) ).

fof(f69,plain,
    ( ~ spl4_2
    | spl4_3 ),
    inference(avatar_contradiction_clause,[],[f68]) ).

fof(f68,plain,
    ( $false
    | ~ spl4_2
    | spl4_3 ),
    inference(subsumption_resolution,[],[f65,f54]) ).

fof(f54,plain,
    ( ~ organization(sK0)
    | spl4_3 ),
    inference(avatar_component_clause,[],[f52]) ).

fof(f65,plain,
    ( organization(sK0)
    | ~ spl4_2 ),
    inference(resolution,[],[f45,f28]) ).

fof(f64,plain,
    ( ~ spl4_3
    | ~ spl4_5
    | spl4_4
    | spl4_1 ),
    inference(avatar_split_clause,[],[f50,f40,f56,f60,f52]) ).

fof(f50,plain,
    ( is_aligned(sK0,sK1)
    | ~ is_aligned(sK0,sK2)
    | ~ organization(sK0)
    | spl4_1 ),
    inference(resolution,[],[f42,f32]) ).

fof(f42,plain,
    ( ~ dissimilar(sK0,sK1,sK2)
    | spl4_1 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f63,plain,
    ( ~ spl4_3
    | ~ spl4_4
    | spl4_5
    | spl4_1 ),
    inference(avatar_split_clause,[],[f49,f40,f60,f56,f52]) ).

fof(f49,plain,
    ( is_aligned(sK0,sK2)
    | ~ is_aligned(sK0,sK1)
    | ~ organization(sK0)
    | spl4_1 ),
    inference(resolution,[],[f42,f31]) ).

fof(f48,plain,
    ( spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f33,f44,f40]) ).

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/sandbox2/tmp/tmp.F2Fa0zLeOT/Vampire---4.8_24446',lemma_7) ).

fof(f47,plain,
    ( ~ spl4_1
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f34,f44,f40]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : MGT053+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13  % 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
% 0.14/0.34  % Computer : n003.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Apr 30 18:15:34 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.34  This is a FOF_THM_EPR_SEQ 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/tmp/tmp.F2Fa0zLeOT/Vampire---4.8_24446
% 0.54/0.72  % (24636)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)
% 0.54/0.72  % (24638)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.54/0.72  % (24636)Refutation not found, incomplete strategy% (24636)------------------------------
% 0.54/0.72  % (24636)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.72  % (24638)Refutation not found, incomplete strategy% (24638)------------------------------
% 0.54/0.72  % (24638)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.72  % (24638)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.72  
% 0.54/0.72  % (24638)Memory used [KB]: 959
% 0.54/0.72  % (24638)Time elapsed: 0.001 s
% 0.54/0.72  % (24638)Instructions burned: 2 (million)
% 0.54/0.72  % (24638)------------------------------
% 0.54/0.72  % (24638)------------------------------
% 0.54/0.72  % (24636)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.72  
% 0.54/0.72  % (24636)Memory used [KB]: 959
% 0.54/0.72  % (24636)Time elapsed: 0.002 s
% 0.54/0.72  % (24636)Instructions burned: 2 (million)
% 0.54/0.72  % (24636)------------------------------
% 0.54/0.72  % (24636)------------------------------
% 0.54/0.72  % (24633)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.72  % (24631)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)
% 0.54/0.72  % (24634)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)
% 0.54/0.72  % (24635)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)
% 0.54/0.72  % (24637)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)
% 0.54/0.72  % (24630)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)
% 0.54/0.72  % (24634)Refutation not found, incomplete strategy% (24634)------------------------------
% 0.54/0.72  % (24634)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.72  % (24634)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.72  
% 0.54/0.72  % (24634)Memory used [KB]: 960
% 0.54/0.72  % (24634)Time elapsed: 0.002 s
% 0.54/0.72  % (24634)Instructions burned: 2 (million)
% 0.54/0.72  % (24634)------------------------------
% 0.54/0.72  % (24634)------------------------------
% 0.54/0.72  % (24637)Refutation not found, incomplete strategy% (24637)------------------------------
% 0.54/0.72  % (24637)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.72  % (24637)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.72  
% 0.54/0.72  % (24637)Memory used [KB]: 959
% 0.54/0.72  % (24637)Time elapsed: 0.002 s
% 0.54/0.72  % (24637)Instructions burned: 2 (million)
% 0.54/0.72  % (24637)------------------------------
% 0.54/0.72  % (24637)------------------------------
% 0.54/0.72  % (24635)First to succeed.
% 0.54/0.72  % (24641)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.54/0.72  % (24642)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.54/0.72  % (24641)Refutation not found, incomplete strategy% (24641)------------------------------
% 0.54/0.72  % (24641)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.72  % (24641)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.72  
% 0.54/0.72  % (24641)Memory used [KB]: 975
% 0.54/0.72  % (24641)Time elapsed: 0.001 s
% 0.54/0.72  % (24641)Instructions burned: 2 (million)
% 0.54/0.72  % (24641)------------------------------
% 0.54/0.72  % (24641)------------------------------
% 0.54/0.72  % (24630)Also succeeded, but the first one will report.
% 0.54/0.72  % (24635)Refutation found. Thanks to Tanya!
% 0.54/0.72  % SZS status Theorem for Vampire---4
% 0.54/0.72  % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.72  % (24635)------------------------------
% 0.54/0.72  % (24635)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.72  % (24635)Termination reason: Refutation
% 0.54/0.72  
% 0.54/0.72  % (24635)Memory used [KB]: 991
% 0.54/0.72  % (24635)Time elapsed: 0.004 s
% 0.54/0.72  % (24635)Instructions burned: 4 (million)
% 0.54/0.72  % (24635)------------------------------
% 0.54/0.72  % (24635)------------------------------
% 0.54/0.72  % (24615)Success in time 0.37 s
% 0.54/0.72  % Vampire---4.8 exiting
%------------------------------------------------------------------------------