TSTP Solution File: SET821-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET821-1 : TPTP v8.1.2. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n021.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 09:08:37 EDT 2024

% Result   : Unsatisfiable 0.73s 0.86s
% Output   : Refutation 0.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   26 (   8 unt;   0 def)
%            Number of atoms       :   49 (   7 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   42 (  19   ~;  21   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-3 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1441,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1410,f1416,f1440]) ).

fof(f1440,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f1439]) ).

fof(f1439,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f1435,f352]) ).

fof(f352,axiom,
    class_Orderings_Oorder(tc_IntDef_Oint),
    file('/export/starexec/sandbox/tmp/tmp.xeSnGemq7R/Vampire---4.8_18652',clsarity_IntDef__Oint_31) ).

fof(f1435,plain,
    ( ~ class_Orderings_Oorder(tc_IntDef_Oint)
    | ~ spl0_1 ),
    inference(resolution,[],[f1418,f123]) ).

fof(f123,axiom,
    ! [X2,X0] :
      ( ~ c_less(X0,X0,X2)
      | ~ class_Orderings_Oorder(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.xeSnGemq7R/Vampire---4.8_18652',cls_Orderings_Oorder__less__irrefl__iff1_0) ).

fof(f1418,plain,
    ( c_less(v_b,v_b,tc_IntDef_Oint)
    | ~ spl0_1 ),
    inference(superposition,[],[f1359,f1371]) ).

fof(f1371,plain,
    ( v_b = v_c
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f1369]) ).

fof(f1369,plain,
    ( spl0_1
  <=> v_b = v_c ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1359,axiom,
    c_less(v_b,v_c,tc_IntDef_Oint),
    file('/export/starexec/sandbox/tmp/tmp.xeSnGemq7R/Vampire---4.8_18652',cls_conjecture_1) ).

fof(f1416,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f1415,f1373,f1369]) ).

fof(f1373,plain,
    ( spl0_2
  <=> c_in(v_a,c_insert(v_b,c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1415,plain,
    ( c_in(v_a,c_insert(v_b,c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint)
    | v_b = v_c ),
    inference(subsumption_resolution,[],[f1391,f174]) ).

fof(f174,axiom,
    ! [X2,X4] : ~ c_in(X4,c_emptyset,X2),
    file('/export/starexec/sandbox/tmp/tmp.xeSnGemq7R/Vampire---4.8_18652',cls_Set_OemptyE_0) ).

fof(f1391,plain,
    ( c_in(v_a,c_insert(v_b,c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint)
    | c_in(v_c,c_emptyset,tc_IntDef_Oint)
    | v_b = v_c ),
    inference(resolution,[],[f1363,f304]) ).

fof(f304,axiom,
    ! [X2,X4] : c_in(X4,c_insert(X4,c_emptyset,X2),X2),
    file('/export/starexec/sandbox/tmp/tmp.xeSnGemq7R/Vampire---4.8_18652',cls_Set_OsingletonI_0) ).

fof(f1363,plain,
    ! [X0,X1] :
      ( ~ c_in(v_b,c_insert(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_in(v_a,c_insert(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
      | c_in(v_c,X1,tc_IntDef_Oint)
      | v_c = X0 ),
    inference(resolution,[],[f1360,f177]) ).

fof(f177,axiom,
    ! [X2,X6,X4,X13] :
      ( ~ c_in(X4,c_insert(X6,X13,X2),X2)
      | c_in(X4,X13,X2)
      | X4 = X6 ),
    file('/export/starexec/sandbox/tmp/tmp.xeSnGemq7R/Vampire---4.8_18652',cls_Set_OinsertE_0) ).

fof(f1360,axiom,
    ! [X41] :
      ( c_in(v_c,X41,tc_IntDef_Oint)
      | ~ c_in(v_b,X41,tc_IntDef_Oint)
      | c_in(v_a,X41,tc_IntDef_Oint) ),
    file('/export/starexec/sandbox/tmp/tmp.xeSnGemq7R/Vampire---4.8_18652',cls_conjecture_2) ).

fof(f1410,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f1409]) ).

fof(f1409,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f1405,f352]) ).

fof(f1405,plain,
    ( ~ class_Orderings_Oorder(tc_IntDef_Oint)
    | ~ spl0_2 ),
    inference(resolution,[],[f1390,f123]) ).

fof(f1390,plain,
    ( c_less(v_a,v_a,tc_IntDef_Oint)
    | ~ spl0_2 ),
    inference(superposition,[],[f1358,f1382]) ).

fof(f1382,plain,
    ( v_a = v_b
    | ~ spl0_2 ),
    inference(unit_resulting_resolution,[],[f174,f1375,f177]) ).

fof(f1375,plain,
    ( c_in(v_a,c_insert(v_b,c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f1373]) ).

fof(f1358,axiom,
    c_less(v_a,v_b,tc_IntDef_Oint),
    file('/export/starexec/sandbox/tmp/tmp.xeSnGemq7R/Vampire---4.8_18652',cls_conjecture_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13  % Problem    : SET821-1 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.15  % 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
% 0.16/0.36  % Computer : n021.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 16:42:53 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.16/0.37  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/tmp/tmp.xeSnGemq7R/Vampire---4.8_18652
% 0.70/0.85  % (18975)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)
% 0.70/0.85  % (18977)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.70/0.85  % (18978)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)
% 0.70/0.85  % (18981)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)
% 0.70/0.85  % (18979)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)
% 0.70/0.85  % (18976)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)
% 0.70/0.85  % (18980)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)
% 0.70/0.85  % (18982)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)
% 0.70/0.85  % (18978)Refutation not found, incomplete strategy% (18978)------------------------------
% 0.70/0.85  % (18978)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.85  % (18978)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.85  
% 0.70/0.85  % (18978)Memory used [KB]: 1729
% 0.70/0.85  % (18978)Time elapsed: 0.004 s
% 0.70/0.85  % (18978)Instructions burned: 5 (million)
% 0.70/0.85  % (18980)Refutation not found, incomplete strategy% (18980)------------------------------
% 0.70/0.85  % (18980)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.85  % (18980)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.85  
% 0.70/0.85  % (18980)Memory used [KB]: 1718
% 0.70/0.85  % (18980)Time elapsed: 0.004 s
% 0.70/0.85  % (18980)Instructions burned: 5 (million)
% 0.70/0.85  % (18982)Refutation not found, incomplete strategy% (18982)------------------------------
% 0.70/0.85  % (18982)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.85  % (18982)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.85  
% 0.70/0.85  % (18982)Memory used [KB]: 1716
% 0.70/0.85  % (18977)Refutation not found, incomplete strategy% (18977)------------------------------
% 0.70/0.85  % (18977)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.85  % (18982)Time elapsed: 0.004 s
% 0.70/0.85  % (18982)Instructions burned: 5 (million)
% 0.70/0.85  % (18977)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.85  
% 0.70/0.85  % (18977)Memory used [KB]: 1733
% 0.70/0.85  % (18977)Time elapsed: 0.005 s
% 0.70/0.85  % (18977)Instructions burned: 6 (million)
% 0.70/0.85  % (18980)------------------------------
% 0.70/0.85  % (18980)------------------------------
% 0.70/0.85  % (18978)------------------------------
% 0.70/0.85  % (18978)------------------------------
% 0.70/0.85  % (18982)------------------------------
% 0.70/0.85  % (18982)------------------------------
% 0.70/0.85  % (18977)------------------------------
% 0.70/0.85  % (18977)------------------------------
% 0.70/0.85  % (18975)Refutation not found, incomplete strategy% (18975)------------------------------
% 0.70/0.85  % (18975)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.85  % (18975)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.85  
% 0.70/0.85  % (18975)Memory used [KB]: 1764
% 0.70/0.85  % (18975)Time elapsed: 0.006 s
% 0.70/0.85  % (18975)Instructions burned: 7 (million)
% 0.70/0.85  % (18975)------------------------------
% 0.70/0.85  % (18975)------------------------------
% 0.70/0.86  % (18983)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 (2995ds/55Mi)
% 0.70/0.86  % (18985)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.70/0.86  % (18984)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 (2995ds/50Mi)
% 0.70/0.86  % (18986)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.70/0.86  % (18987)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.70/0.86  % (18981)First to succeed.
% 0.70/0.86  % (18981)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18883"
% 0.70/0.86  % (18983)Refutation not found, incomplete strategy% (18983)------------------------------
% 0.70/0.86  % (18983)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.86  % (18983)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.86  
% 0.73/0.86  % (18983)Memory used [KB]: 1728
% 0.73/0.86  % (18983)Time elapsed: 0.004 s
% 0.73/0.86  % (18983)Instructions burned: 5 (million)
% 0.73/0.86  % (18985)Refutation not found, incomplete strategy% (18985)------------------------------
% 0.73/0.86  % (18985)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.86  % (18987)Refutation not found, incomplete strategy% (18987)------------------------------
% 0.73/0.86  % (18987)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.86  % (18987)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.86  
% 0.73/0.86  % (18987)Memory used [KB]: 1715
% 0.73/0.86  % (18987)Time elapsed: 0.004 s
% 0.73/0.86  % (18987)Instructions burned: 5 (million)
% 0.73/0.86  % (18983)------------------------------
% 0.73/0.86  % (18983)------------------------------
% 0.73/0.86  % (18981)Refutation found. Thanks to Tanya!
% 0.73/0.86  % SZS status Unsatisfiable for Vampire---4
% 0.73/0.86  % SZS output start Proof for Vampire---4
% See solution above
% 0.73/0.86  % (18981)------------------------------
% 0.73/0.86  % (18981)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.86  % (18981)Termination reason: Refutation
% 0.73/0.86  
% 0.73/0.86  % (18981)Memory used [KB]: 1905
% 0.73/0.86  % (18981)Time elapsed: 0.011 s
% 0.73/0.86  % (18981)Instructions burned: 18 (million)
% 0.73/0.86  % (18883)Success in time 0.486 s
% 0.73/0.86  % Vampire---4.8 exiting
%------------------------------------------------------------------------------