TSTP Solution File: SET016-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET016-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n022.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 : Sun May  5 09:02:51 EDT 2024

% Result   : Unsatisfiable 0.56s 0.74s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   24 (  10 unt;   0 def)
%            Number of atoms       :   40 (  16 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   30 (  14   ~;  14   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f47,plain,
    $false,
    inference(avatar_sat_refutation,[],[f22,f29,f46]) ).

fof(f46,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f45]) ).

fof(f45,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f42,f8]) ).

fof(f8,axiom,
    m1 != m2,
    file('/export/starexec/sandbox2/tmp/tmp.uyENZ1rugn/Vampire---4.8_17695',prove_first_components_equal) ).

fof(f42,plain,
    ( m1 = m2
    | ~ spl0_1 ),
    inference(resolution,[],[f34,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : member(X0,unordered_pair(X0,X1)),
    file('/export/starexec/sandbox2/tmp/tmp.uyENZ1rugn/Vampire---4.8_17695',unordered_pair_1) ).

fof(f34,plain,
    ( ! [X0] :
        ( ~ member(X0,unordered_pair(m1,r1))
        | m2 = X0 )
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f17]) ).

fof(f17,plain,
    ( unordered_pair(m1,r1) = singleton_set(m2)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f15]) ).

fof(f15,plain,
    ( spl0_1
  <=> unordered_pair(m1,r1) = singleton_set(m2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( ~ member(X0,singleton_set(X1))
      | X0 = X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.uyENZ1rugn/Vampire---4.8_17695',singleton_2) ).

fof(f29,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f28]) ).

fof(f28,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f27,f8]) ).

fof(f27,plain,
    ( m1 = m2
    | ~ spl0_2 ),
    inference(resolution,[],[f25,f2]) ).

fof(f25,plain,
    ( member(m2,singleton_set(m1))
    | ~ spl0_2 ),
    inference(superposition,[],[f1,f21]) ).

fof(f21,plain,
    ( singleton_set(m1) = singleton_set(m2)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f19]) ).

fof(f19,plain,
    ( spl0_2
  <=> singleton_set(m1) = singleton_set(m2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1,axiom,
    ! [X0] : member(X0,singleton_set(X0)),
    file('/export/starexec/sandbox2/tmp/tmp.uyENZ1rugn/Vampire---4.8_17695',singleton_1) ).

fof(f22,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f13,f19,f15]) ).

fof(f13,plain,
    ( singleton_set(m1) = singleton_set(m2)
    | unordered_pair(m1,r1) = singleton_set(m2) ),
    inference(resolution,[],[f10,f5]) ).

fof(f5,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X0,unordered_pair(X1,X2))
      | X0 = X1
      | X0 = X2 ),
    file('/export/starexec/sandbox2/tmp/tmp.uyENZ1rugn/Vampire---4.8_17695',unordered_pair_3) ).

fof(f10,plain,
    member(singleton_set(m2),unordered_pair(singleton_set(m1),unordered_pair(m1,r1))),
    inference(superposition,[],[f3,f9]) ).

fof(f9,plain,
    unordered_pair(singleton_set(m1),unordered_pair(m1,r1)) = unordered_pair(singleton_set(m2),unordered_pair(m2,r2)),
    inference(definition_unfolding,[],[f7,f6,f6]) ).

fof(f6,axiom,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton_set(X0),unordered_pair(X0,X1)),
    file('/export/starexec/sandbox2/tmp/tmp.uyENZ1rugn/Vampire---4.8_17695',ordered_pair) ).

fof(f7,axiom,
    ordered_pair(m1,r1) = ordered_pair(m2,r2),
    file('/export/starexec/sandbox2/tmp/tmp.uyENZ1rugn/Vampire---4.8_17695',equal_ordered_pairs) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SET016-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15  % 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 : n022.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   : Fri May  3 16:46:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.36  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.uyENZ1rugn/Vampire---4.8_17695
% 0.56/0.74  % (17811)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)
% 0.56/0.74  % (17811)Refutation not found, incomplete strategy% (17811)------------------------------
% 0.56/0.74  % (17811)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (17811)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (17811)Memory used [KB]: 963
% 0.56/0.74  % (17811)Time elapsed: 0.002 s
% 0.56/0.74  % (17811)Instructions burned: 2 (million)
% 0.56/0.74  % (17811)------------------------------
% 0.56/0.74  % (17811)------------------------------
% 0.56/0.74  % (17804)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)
% 0.56/0.74  % (17805)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)
% 0.56/0.74  % (17807)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)
% 0.56/0.74  % (17806)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74  % (17808)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)
% 0.56/0.74  % (17809)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)
% 0.56/0.74  % (17810)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)
% 0.56/0.74  % (17804)Refutation not found, incomplete strategy% (17804)------------------------------
% 0.56/0.74  % (17804)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (17804)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (17804)Memory used [KB]: 963
% 0.56/0.74  % (17804)Time elapsed: 0.002 s
% 0.56/0.74  % (17804)Instructions burned: 2 (million)
% 0.56/0.74  % (17807)Refutation not found, incomplete strategy% (17807)------------------------------
% 0.56/0.74  % (17807)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (17807)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (17807)Memory used [KB]: 950
% 0.56/0.74  % (17807)Time elapsed: 0.002 s
% 0.56/0.74  % (17808)Refutation not found, incomplete strategy% (17808)------------------------------
% 0.56/0.74  % (17808)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (17808)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (17808)Memory used [KB]: 966
% 0.56/0.74  % (17808)Time elapsed: 0.002 s
% 0.56/0.74  % (17808)Instructions burned: 2 (million)
% 0.56/0.74  % (17807)Instructions burned: 2 (million)
% 0.56/0.74  % (17804)------------------------------
% 0.56/0.74  % (17804)------------------------------
% 0.56/0.74  % (17808)------------------------------
% 0.56/0.74  % (17808)------------------------------
% 0.56/0.74  % (17807)------------------------------
% 0.56/0.74  % (17807)------------------------------
% 0.56/0.74  % (17805)Also succeeded, but the first one will report.
% 0.56/0.74  % (17809)First to succeed.
% 0.56/0.74  % (17812)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)
% 0.56/0.74  % (17810)Also succeeded, but the first one will report.
% 0.56/0.74  % (17809)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17803"
% 0.56/0.74  % (17806)Also succeeded, but the first one will report.
% 0.56/0.74  % (17812)Refutation not found, incomplete strategy% (17812)------------------------------
% 0.56/0.74  % (17812)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (17812)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (17812)Memory used [KB]: 968
% 0.56/0.74  % (17812)Time elapsed: 0.002 s
% 0.56/0.74  % (17812)Instructions burned: 3 (million)
% 0.56/0.74  % (17809)Refutation found. Thanks to Tanya!
% 0.56/0.74  % SZS status Unsatisfiable for Vampire---4
% 0.56/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.74  % (17809)------------------------------
% 0.56/0.74  % (17809)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (17809)Termination reason: Refutation
% 0.56/0.74  
% 0.56/0.74  % (17809)Memory used [KB]: 989
% 0.56/0.74  % (17809)Time elapsed: 0.004 s
% 0.56/0.74  % (17809)Instructions burned: 3 (million)
% 0.56/0.74  % (17803)Success in time 0.379 s
% 0.56/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------