TSTP Solution File: SET843-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET843-1 : TPTP v8.2.0. Released v3.2.0.
% 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 : n007.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 03:13:35 EDT 2024

% Result   : Unsatisfiable 0.60s 0.77s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   36 (   4 unt;   0 def)
%            Number of atoms       :   89 (  21 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  102 (  49   ~;  51   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   34 (  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1425,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1376,f1377,f1407,f1424]) ).

fof(f1424,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_contradiction_clause,[],[f1423]) ).

fof(f1423,plain,
    ( $false
    | ~ spl0_1
    | spl0_2 ),
    inference(subsumption_resolution,[],[f1422,f1365]) ).

fof(f1365,axiom,
    c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f1422,plain,
    ( ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ spl0_1
    | spl0_2 ),
    inference(subsumption_resolution,[],[f1420,f1375]) ).

fof(f1375,plain,
    ( v_m != c_Zorn_Osucc(v_S,v_m,t_a)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f1373]) ).

fof(f1373,plain,
    ( spl0_2
  <=> v_m = c_Zorn_Osucc(v_S,v_m,t_a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1420,plain,
    ( v_m = c_Zorn_Osucc(v_S,v_m,t_a)
    | ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ spl0_1 ),
    inference(resolution,[],[f1413,f1362]) ).

fof(f1362,axiom,
    ! [X40,X2,X0] :
      ( c_in(c_Zorn_Osucc(X40,X0,X2),c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
      | ~ c_in(X0,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin_OsuccI_0) ).

fof(f1413,plain,
    ( ! [X0] :
        ( ~ c_in(c_Zorn_Osucc(X0,v_m,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
        | v_m = c_Zorn_Osucc(X0,v_m,t_a) )
    | ~ spl0_1 ),
    inference(resolution,[],[f1411,f1380]) ).

fof(f1380,plain,
    ! [X2,X0,X1] :
      ( ~ c_lessequals(c_Zorn_Osucc(X1,X0,X2),X0,tc_set(tc_set(X2)))
      | c_Zorn_Osucc(X1,X0,X2) = X0 ),
    inference(resolution,[],[f309,f1361]) ).

fof(f1361,axiom,
    ! [X40,X2,X0] : c_lessequals(X0,c_Zorn_Osucc(X40,X0,X2),tc_set(tc_set(X2))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OAbrial__axiom1_0) ).

fof(f309,axiom,
    ! [X2,X15,X13] :
      ( ~ c_lessequals(X13,X15,tc_set(X2))
      | X13 = X15
      | ~ c_lessequals(X15,X13,tc_set(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).

fof(f1411,plain,
    ( ! [X0] :
        ( c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
        | ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) )
    | ~ spl0_1 ),
    inference(superposition,[],[f1360,f1370]) ).

fof(f1370,plain,
    ( v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f1369]) ).

fof(f1369,plain,
    ( spl0_1
  <=> v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1360,axiom,
    ! [X2,X15,X13] :
      ( c_lessequals(X15,c_Union(X13,X2),tc_set(X2))
      | ~ c_in(X15,X13,tc_set(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnion__upper_0) ).

fof(f1407,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_contradiction_clause,[],[f1406]) ).

fof(f1406,plain,
    ( $false
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f1405,f1371]) ).

fof(f1371,plain,
    ( v_m != c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f1369]) ).

fof(f1405,plain,
    ( v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f1404,f1365]) ).

fof(f1404,plain,
    ( ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))
    | ~ spl0_2 ),
    inference(resolution,[],[f1402,f310]) ).

fof(f310,axiom,
    ! [X2,X13] : c_lessequals(X13,X13,tc_set(X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).

fof(f1402,plain,
    ( ! [X0] :
        ( ~ c_lessequals(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a))))
        | ~ c_in(v_m,X0,tc_set(tc_set(t_a)))
        | v_m = c_Union(X0,tc_set(t_a)) )
    | ~ spl0_2 ),
    inference(resolution,[],[f1393,f1363]) ).

fof(f1363,axiom,
    ! [X2,X40,X54] :
      ( c_in(c_Union(X54,tc_set(X2)),c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
      | ~ c_lessequals(X54,c_Zorn_OTFin(X40,X2),tc_set(tc_set(tc_set(X2)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__UnionI_0) ).

fof(f1393,plain,
    ( ! [X0] :
        ( ~ c_in(c_Union(X0,tc_set(t_a)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
        | v_m = c_Union(X0,tc_set(t_a))
        | ~ c_in(v_m,X0,tc_set(tc_set(t_a))) )
    | ~ spl0_2 ),
    inference(resolution,[],[f1390,f1381]) ).

fof(f1381,plain,
    ! [X2,X0,X1] :
      ( ~ c_lessequals(c_Union(X1,X2),X0,tc_set(X2))
      | c_Union(X1,X2) = X0
      | ~ c_in(X0,X1,tc_set(X2)) ),
    inference(resolution,[],[f309,f1360]) ).

fof(f1390,plain,
    ( ! [X0] :
        ( c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
        | ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) )
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f1389,f1365]) ).

fof(f1389,plain,
    ( ! [X0] :
        ( c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
        | ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
        | ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) )
    | ~ spl0_2 ),
    inference(trivial_inequality_removal,[],[f1388]) ).

fof(f1388,plain,
    ( ! [X0] :
        ( v_m != v_m
        | c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
        | ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
        | ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) )
    | ~ spl0_2 ),
    inference(superposition,[],[f1364,f1374]) ).

fof(f1374,plain,
    ( v_m = c_Zorn_Osucc(v_S,v_m,t_a)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f1373]) ).

fof(f1364,axiom,
    ! [X40,X2,X18,X12] :
      ( c_Zorn_Osucc(X40,X12,X2) != X12
      | c_lessequals(X18,X12,tc_set(tc_set(X2)))
      | ~ c_in(X18,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
      | ~ c_in(X12,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Oeq__succ__upper_0) ).

fof(f1377,plain,
    ( spl0_2
    | spl0_1 ),
    inference(avatar_split_clause,[],[f1367,f1369,f1373]) ).

fof(f1367,axiom,
    ( v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))
    | v_m = c_Zorn_Osucc(v_S,v_m,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f1376,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f1366,f1373,f1369]) ).

fof(f1366,axiom,
    ( v_m != c_Zorn_Osucc(v_S,v_m,t_a)
    | v_m != c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SET843-1 : TPTP v8.2.0. Released v3.2.0.
% 0.12/0.15  % 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
% 0.14/0.36  % Computer : n007.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
% 0.14/0.37  % CPULimit   : 300
% 0.14/0.37  % WCLimit    : 300
% 0.14/0.37  % DateTime   : Mon May 20 11:14:23 EDT 2024
% 0.14/0.37  % CPUTime    : 
% 0.14/0.37  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.37  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/benchmark/theBenchmark.p
% 0.55/0.76  % (8421)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 theBenchmark for (2996ds/34Mi)
% 0.55/0.76  % (8423)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.55/0.76  % (8424)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)
% 0.55/0.76  % (8425)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)
% 0.55/0.76  % (8428)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)
% 0.55/0.76  % (8422)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)
% 0.55/0.76  % (8426)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)
% 0.60/0.76  % (8427)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)
% 0.60/0.76  % (8428)Refutation not found, incomplete strategy% (8428)------------------------------
% 0.60/0.76  % (8428)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (8428)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (8428)Memory used [KB]: 1737
% 0.60/0.76  % (8428)Time elapsed: 0.003 s
% 0.60/0.76  % (8428)Instructions burned: 5 (million)
% 0.60/0.76  % (8424)Refutation not found, incomplete strategy% (8424)------------------------------
% 0.60/0.76  % (8424)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (8424)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (8424)Memory used [KB]: 1751
% 0.60/0.76  % (8426)Refutation not found, incomplete strategy% (8426)------------------------------
% 0.60/0.76  % (8426)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (8424)Time elapsed: 0.004 s
% 0.60/0.76  % (8424)Instructions burned: 6 (million)
% 0.60/0.76  % (8426)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (8426)Memory used [KB]: 1752
% 0.60/0.76  % (8426)Time elapsed: 0.004 s
% 0.60/0.76  % (8426)Instructions burned: 6 (million)
% 0.60/0.76  % (8428)------------------------------
% 0.60/0.76  % (8428)------------------------------
% 0.60/0.76  % (8424)------------------------------
% 0.60/0.76  % (8424)------------------------------
% 0.60/0.76  % (8426)------------------------------
% 0.60/0.76  % (8426)------------------------------
% 0.60/0.76  % (8423)First to succeed.
% 0.60/0.77  % (8423)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8420"
% 0.60/0.77  % (8423)Refutation found. Thanks to Tanya!
% 0.60/0.77  % SZS status Unsatisfiable for theBenchmark
% 0.60/0.77  % SZS output start Proof for theBenchmark
% See solution above
% 0.60/0.77  % (8423)------------------------------
% 0.60/0.77  % (8423)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (8423)Termination reason: Refutation
% 0.60/0.77  
% 0.60/0.77  % (8423)Memory used [KB]: 1855
% 0.60/0.77  % (8423)Time elapsed: 0.006 s
% 0.60/0.77  % (8423)Instructions burned: 10 (million)
% 0.60/0.77  % (8420)Success in time 0.39 s
% 0.60/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------