TSTP Solution File: SET787-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET787-1 : TPTP v8.1.2. Released v2.7.0.
% 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 : n032.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 09:08:29 EDT 2024

% Result   : Unsatisfiable 0.56s 0.74s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   27 (   9 unt;   0 def)
%            Number of atoms       :   48 (   5 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   45 (  24   ~;  19   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f89,plain,
    $false,
    inference(avatar_sat_refutation,[],[f48,f59,f88]) ).

fof(f88,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f87]) ).

fof(f87,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f86,f13]) ).

fof(f13,axiom,
    member(sk2,union(cons(a,cons(b,eptset)))),
    file('/export/starexec/sandbox2/tmp/tmp.mwEH3Gyklc/Vampire---4.8_15544',un_eq_Union_2_c1) ).

fof(f86,plain,
    ( ~ member(sk2,union(cons(a,cons(b,eptset))))
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f82,f16]) ).

fof(f16,plain,
    ~ member(sk2,b),
    inference(unit_resulting_resolution,[],[f14,f7]) ).

fof(f7,axiom,
    ! [X2,X3,X5] :
      ( member(X5,un(X2,X3))
      | ~ member(X5,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.mwEH3Gyklc/Vampire---4.8_15544',unI2) ).

fof(f14,axiom,
    ~ member(sk2,un(a,b)),
    file('/export/starexec/sandbox2/tmp/tmp.mwEH3Gyklc/Vampire---4.8_15544',un_eq_Union_2_c2) ).

fof(f82,plain,
    ( member(sk2,b)
    | ~ member(sk2,union(cons(a,cons(b,eptset))))
    | ~ spl0_1 ),
    inference(superposition,[],[f1,f63]) ).

fof(f63,plain,
    ( b = unionE_sk1(sk2,cons(a,cons(b,eptset)))
    | ~ spl0_1 ),
    inference(unit_resulting_resolution,[],[f8,f43,f5]) ).

fof(f5,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X0,cons(X1,X4))
      | X0 = X1
      | member(X0,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.mwEH3Gyklc/Vampire---4.8_15544',clause112) ).

fof(f43,plain,
    ( member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(b,eptset))
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f41,plain,
    ( spl0_1
  <=> member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(b,eptset)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f8,axiom,
    ! [X6] : ~ member(X6,eptset),
    file('/export/starexec/sandbox2/tmp/tmp.mwEH3Gyklc/Vampire---4.8_15544',clause158) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( member(X0,unionE_sk1(X0,X1))
      | ~ member(X0,union(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.mwEH3Gyklc/Vampire---4.8_15544',clause119) ).

fof(f59,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f58]) ).

fof(f58,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f57,f13]) ).

fof(f57,plain,
    ( ~ member(sk2,union(cons(a,cons(b,eptset))))
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f53,f15]) ).

fof(f15,plain,
    ~ member(sk2,a),
    inference(unit_resulting_resolution,[],[f14,f6]) ).

fof(f6,axiom,
    ! [X2,X3,X5] :
      ( member(X5,un(X2,X3))
      | ~ member(X5,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.mwEH3Gyklc/Vampire---4.8_15544',unI1) ).

fof(f53,plain,
    ( member(sk2,a)
    | ~ member(sk2,union(cons(a,cons(b,eptset))))
    | ~ spl0_2 ),
    inference(superposition,[],[f1,f47]) ).

fof(f47,plain,
    ( a = unionE_sk1(sk2,cons(a,cons(b,eptset)))
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f45,plain,
    ( spl0_2
  <=> a = unionE_sk1(sk2,cons(a,cons(b,eptset))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f48,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f39,f45,f41]) ).

fof(f39,plain,
    ( a = unionE_sk1(sk2,cons(a,cons(b,eptset)))
    | member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(b,eptset)) ),
    inference(resolution,[],[f20,f5]) ).

fof(f20,plain,
    member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(a,cons(b,eptset))),
    inference(unit_resulting_resolution,[],[f13,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( member(unionE_sk1(X0,X1),X1)
      | ~ member(X0,union(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.mwEH3Gyklc/Vampire---4.8_15544',clause120) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : SET787-1 : TPTP v8.1.2. Released v2.7.0.
% 0.09/0.11  % 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
% 0.11/0.31  % Computer : n032.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Fri May  3 16:29:22 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.11/0.32  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.mwEH3Gyklc/Vampire---4.8_15544
% 0.56/0.73  % (15654)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.56/0.73  % (15652)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 (2995ds/34Mi)
% 0.56/0.73  % (15657)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.56/0.73  % (15655)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.56/0.73  % (15653)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 (2995ds/51Mi)
% 0.56/0.73  % (15656)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 (2995ds/34Mi)
% 0.56/0.73  % (15658)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 (2995ds/83Mi)
% 0.56/0.73  % (15659)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 (2995ds/56Mi)
% 0.56/0.73  % (15657)Refutation not found, incomplete strategy% (15657)------------------------------
% 0.56/0.73  % (15657)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73  % (15657)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (15657)Memory used [KB]: 965
% 0.56/0.73  % (15657)Time elapsed: 0.002 s
% 0.56/0.73  % (15657)Instructions burned: 2 (million)
% 0.56/0.73  % (15659)Refutation not found, incomplete strategy% (15659)------------------------------
% 0.56/0.73  % (15659)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73  % (15656)Refutation not found, incomplete strategy% (15656)------------------------------
% 0.56/0.73  % (15656)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73  % (15656)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (15656)Memory used [KB]: 968
% 0.56/0.73  % (15656)Time elapsed: 0.002 s
% 0.56/0.73  % (15656)Instructions burned: 2 (million)
% 0.56/0.73  % (15659)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (15659)Memory used [KB]: 965
% 0.56/0.73  % (15659)Time elapsed: 0.002 s
% 0.56/0.73  % (15659)Instructions burned: 2 (million)
% 0.56/0.73  % (15657)------------------------------
% 0.56/0.73  % (15657)------------------------------
% 0.56/0.73  % (15656)------------------------------
% 0.56/0.73  % (15656)------------------------------
% 0.56/0.73  % (15659)------------------------------
% 0.56/0.73  % (15659)------------------------------
% 0.56/0.74  % (15658)First to succeed.
% 0.56/0.74  % (15654)Also succeeded, but the first one will report.
% 0.56/0.74  % (15658)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15651"
% 0.56/0.74  % (15658)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  % (15658)------------------------------
% 0.56/0.74  % (15658)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (15658)Termination reason: Refutation
% 0.56/0.74  
% 0.56/0.74  % (15658)Memory used [KB]: 1064
% 0.56/0.74  % (15658)Time elapsed: 0.004 s
% 0.56/0.74  % (15658)Instructions burned: 5 (million)
% 0.56/0.74  % (15651)Success in time 0.413 s
% 0.56/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------