TSTP Solution File: SET847-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET847-1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n024.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 09:08:47 EDT 2024

% Result   : Unsatisfiable 0.57s 0.77s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   16 (   8 unt;   0 def)
%            Number of atoms       :   25 (   5 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   24 (  15   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   2 con; 0-3 aty)
%            Number of variables   :   28 (  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1444,plain,
    $false,
    inference(subsumption_resolution,[],[f1443,f310]) ).

fof(f310,axiom,
    ! [X2,X13] : c_lessequals(X13,X13,tc_set(X2)),
    file('/export/starexec/sandbox2/tmp/tmp.dLC0zO6zL4/Vampire---4.8_17688',cls_Set_Osubset__refl_0) ).

fof(f1443,plain,
    ~ c_lessequals(c_Zorn_OTFin(v_S,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a)))),
    inference(resolution,[],[f1439,f1359]) ).

fof(f1359,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/tmp/tmp.dLC0zO6zL4/Vampire---4.8_17688',cls_Zorn_OTFin__UnionI_0) ).

fof(f1439,plain,
    ~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    inference(resolution,[],[f1436,f1360]) ).

fof(f1360,axiom,
    ! [X40,X2,X34] :
      ( c_in(X34,c_Zorn_Ochain(X40,X2),tc_set(tc_set(X2)))
      | ~ c_in(X34,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox2/tmp/tmp.dLC0zO6zL4/Vampire---4.8_17688',cls_Zorn_OTFin__chain__lemma4_0) ).

fof(f1436,plain,
    ~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),
    inference(resolution,[],[f1426,f1364]) ).

fof(f1364,axiom,
    ! [X41] : ~ c_in(X41,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/tmp/tmp.dLC0zO6zL4/Vampire---4.8_17688',cls_conjecture_0) ).

fof(f1426,plain,
    ! [X0,X1] :
      ( c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_Omaxchain(X0,X1),tc_set(tc_set(X1)))
      | ~ c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_Ochain(X0,X1),tc_set(tc_set(X1))) ),
    inference(resolution,[],[f1423,f159]) ).

fof(f159,axiom,
    ! [X2,X34,X15,X13] :
      ( c_in(X34,c_minus(X13,X15,tc_set(X2)),X2)
      | c_in(X34,X15,X2)
      | ~ c_in(X34,X13,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.dLC0zO6zL4/Vampire---4.8_17688',cls_Set_ODiffI_0) ).

fof(f1423,plain,
    ! [X0,X1] : ~ c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_minus(c_Zorn_Ochain(X0,X1),c_Zorn_Omaxchain(X0,X1),tc_set(tc_set(tc_set(X1)))),tc_set(tc_set(X1))),
    inference(trivial_inequality_removal,[],[f1420]) ).

fof(f1420,plain,
    ! [X0,X1] :
      ( c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)) != c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1))
      | ~ c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_minus(c_Zorn_Ochain(X0,X1),c_Zorn_Omaxchain(X0,X1),tc_set(tc_set(tc_set(X1)))),tc_set(tc_set(X1))) ),
    inference(superposition,[],[f1363,f1419]) ).

fof(f1419,plain,
    ! [X0,X1] : c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)) = c_Zorn_Osucc(X0,c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X1),
    inference(subsumption_resolution,[],[f1418,f310]) ).

fof(f1418,plain,
    ! [X0,X1] :
      ( c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)) = c_Zorn_Osucc(X0,c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X1)
      | ~ c_lessequals(c_Zorn_OTFin(X0,X1),c_Zorn_OTFin(X0,X1),tc_set(tc_set(tc_set(X1)))) ),
    inference(resolution,[],[f1362,f1359]) ).

fof(f1362,axiom,
    ! [X40,X2] :
      ( ~ c_in(c_Union(c_Zorn_OTFin(X40,X2),tc_set(X2)),c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
      | c_Union(c_Zorn_OTFin(X40,X2),tc_set(X2)) = c_Zorn_Osucc(X40,c_Union(c_Zorn_OTFin(X40,X2),tc_set(X2)),X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.dLC0zO6zL4/Vampire---4.8_17688',cls_Zorn_Oequal__succ__Union_1) ).

fof(f1363,axiom,
    ! [X40,X2,X34] :
      ( c_Zorn_Osucc(X40,X34,X2) != X34
      | ~ c_in(X34,c_minus(c_Zorn_Ochain(X40,X2),c_Zorn_Omaxchain(X40,X2),tc_set(tc_set(tc_set(X2)))),tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox2/tmp/tmp.dLC0zO6zL4/Vampire---4.8_17688',cls_Zorn_Osucc__not__equals_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SET847-1 : TPTP v8.1.2. Released v3.2.0.
% 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
% 0.15/0.37  % Computer : n024.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Fri May  3 17:02:38 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.37  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/tmp/tmp.dLC0zO6zL4/Vampire---4.8_17688
% 0.57/0.76  % (17797)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)
% 0.57/0.76  % (17800)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)
% 0.57/0.76  % (17801)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)
% 0.57/0.76  % (17799)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.76  % (17798)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)
% 0.57/0.76  % (17803)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)
% 0.57/0.76  % (17802)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)
% 0.57/0.76  % (17804)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)
% 0.57/0.76  % (17800)Refutation not found, incomplete strategy% (17800)------------------------------
% 0.57/0.76  % (17800)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (17800)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (17800)Memory used [KB]: 1712
% 0.57/0.76  % (17800)Time elapsed: 0.003 s
% 0.57/0.76  % (17800)Instructions burned: 5 (million)
% 0.57/0.76  % (17797)Refutation not found, incomplete strategy% (17797)------------------------------
% 0.57/0.76  % (17797)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (17797)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (17797)Memory used [KB]: 1749
% 0.57/0.76  % (17797)Time elapsed: 0.003 s
% 0.57/0.76  % (17797)Instructions burned: 7 (million)
% 0.57/0.76  % (17800)------------------------------
% 0.57/0.76  % (17800)------------------------------
% 0.57/0.76  % (17804)Refutation not found, incomplete strategy% (17804)------------------------------
% 0.57/0.76  % (17804)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (17804)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (17804)Memory used [KB]: 1717
% 0.57/0.76  % (17804)Time elapsed: 0.004 s
% 0.57/0.76  % (17804)Instructions burned: 5 (million)
% 0.57/0.76  % (17797)------------------------------
% 0.57/0.76  % (17797)------------------------------
% 0.57/0.76  % (17804)------------------------------
% 0.57/0.76  % (17804)------------------------------
% 0.57/0.76  % (17802)Refutation not found, incomplete strategy% (17802)------------------------------
% 0.57/0.76  % (17802)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (17802)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (17802)Memory used [KB]: 1735
% 0.57/0.76  % (17802)Time elapsed: 0.005 s
% 0.57/0.76  % (17802)Instructions burned: 6 (million)
% 0.57/0.76  % (17802)------------------------------
% 0.57/0.76  % (17802)------------------------------
% 0.57/0.77  % (17805)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)
% 0.57/0.77  % (17806)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)
% 0.57/0.77  % (17807)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 (2996ds/208Mi)
% 0.57/0.77  % (17808)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 (2996ds/52Mi)
% 0.57/0.77  % (17799)First to succeed.
% 0.57/0.77  % (17799)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17795"
% 0.57/0.77  % (17807)Refutation not found, incomplete strategy% (17807)------------------------------
% 0.57/0.77  % (17807)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77  % (17807)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.77  
% 0.57/0.77  % (17807)Memory used [KB]: 1727
% 0.57/0.77  % (17807)Time elapsed: 0.004 s
% 0.57/0.77  % (17807)Instructions burned: 6 (million)
% 0.57/0.77  % (17807)------------------------------
% 0.57/0.77  % (17807)------------------------------
% 0.57/0.77  % (17799)Refutation found. Thanks to Tanya!
% 0.57/0.77  % SZS status Unsatisfiable for Vampire---4
% 0.57/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.77  % (17799)------------------------------
% 0.57/0.77  % (17799)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77  % (17799)Termination reason: Refutation
% 0.57/0.77  
% 0.57/0.77  % (17799)Memory used [KB]: 1852
% 0.57/0.77  % (17799)Time elapsed: 0.010 s
% 0.57/0.77  % (17799)Instructions burned: 15 (million)
% 0.57/0.77  % (17795)Success in time 0.382 s
% 0.57/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------