TSTP Solution File: SET848-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET848-1 : 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 : n016.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 : Wed May  1 03:49:14 EDT 2024

% Result   : Unsatisfiable 0.62s 0.83s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   13 (   7 unt;   0 def)
%            Number of atoms       :   21 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   21 (  13   ~;   8   |;   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   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1425,plain,
    $false,
    inference(subsumption_resolution,[],[f1424,f310]) ).

fof(f310,axiom,
    ! [X2,X13] : c_lessequals(X13,X13,tc_set(X2)),
    file('/export/starexec/sandbox/tmp/tmp.CNEzQKI67G/Vampire---4.8_26921',cls_Set_Osubset__refl_0) ).

fof(f1424,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,[],[f1419,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/sandbox/tmp/tmp.CNEzQKI67G/Vampire---4.8_26921',cls_Zorn_OTFin__UnionI_0) ).

fof(f1419,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,[],[f1418,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/sandbox/tmp/tmp.CNEzQKI67G/Vampire---4.8_26921',cls_Zorn_OTFin__chain__lemma4_0) ).

fof(f1418,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(subsumption_resolution,[],[f1417,f1365]) ).

fof(f1365,axiom,
    c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) = c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),
    file('/export/starexec/sandbox/tmp/tmp.CNEzQKI67G/Vampire---4.8_26921',cls_conjecture_1) ).

fof(f1417,plain,
    ( c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) != c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a)
    | ~ 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,[],[f1414,f1364]) ).

fof(f1364,axiom,
    ~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/tmp/tmp.CNEzQKI67G/Vampire---4.8_26921',cls_conjecture_0) ).

fof(f1414,plain,
    ! [X2,X0,X1] :
      ( c_in(X1,c_Zorn_Omaxchain(X0,X2),tc_set(tc_set(X2)))
      | c_Zorn_Osucc(X0,X1,X2) != X1
      | ~ c_in(X1,c_Zorn_Ochain(X0,X2),tc_set(tc_set(X2))) ),
    inference(resolution,[],[f1363,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/sandbox/tmp/tmp.CNEzQKI67G/Vampire---4.8_26921',cls_Set_ODiffI_0) ).

fof(f1363,axiom,
    ! [X40,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)))
      | c_Zorn_Osucc(X40,X34,X2) != X34 ),
    file('/export/starexec/sandbox/tmp/tmp.CNEzQKI67G/Vampire---4.8_26921',cls_Zorn_Osucc__not__equals_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SET848-1 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.12  % 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
% 0.11/0.32  % Computer : n016.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % 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   : Tue Apr 30 17:49:26 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.CNEzQKI67G/Vampire---4.8_26921
% 0.62/0.83  % (27031)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)
% 0.62/0.83  % (27033)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.83  % (27032)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)
% 0.62/0.83  % (27034)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)
% 0.62/0.83  % (27035)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)
% 0.62/0.83  % (27036)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)
% 0.62/0.83  % (27037)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)
% 0.62/0.83  % (27038)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)
% 0.62/0.83  % (27034)Refutation not found, incomplete strategy% (27034)------------------------------
% 0.62/0.83  % (27034)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.83  % (27036)Refutation not found, incomplete strategy% (27036)------------------------------
% 0.62/0.83  % (27036)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.83  % (27036)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.83  
% 0.62/0.83  % (27036)Memory used [KB]: 1720
% 0.62/0.83  % (27036)Time elapsed: 0.004 s
% 0.62/0.83  % (27036)Instructions burned: 5 (million)
% 0.62/0.83  % (27036)------------------------------
% 0.62/0.83  % (27036)------------------------------
% 0.62/0.83  % (27034)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.83  
% 0.62/0.83  % (27034)Memory used [KB]: 1719
% 0.62/0.83  % (27034)Time elapsed: 0.004 s
% 0.62/0.83  % (27034)Instructions burned: 5 (million)
% 0.62/0.83  % (27034)------------------------------
% 0.62/0.83  % (27034)------------------------------
% 0.62/0.83  % (27038)Refutation not found, incomplete strategy% (27038)------------------------------
% 0.62/0.83  % (27038)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.83  % (27038)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.83  
% 0.62/0.83  % (27038)Memory used [KB]: 1717
% 0.62/0.83  % (27038)Time elapsed: 0.004 s
% 0.62/0.83  % (27038)Instructions burned: 5 (million)
% 0.62/0.83  % (27038)------------------------------
% 0.62/0.83  % (27038)------------------------------
% 0.62/0.83  % (27031)Refutation not found, incomplete strategy% (27031)------------------------------
% 0.62/0.83  % (27031)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.83  % (27031)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.83  
% 0.62/0.83  % (27031)Memory used [KB]: 1767
% 0.62/0.83  % (27031)Time elapsed: 0.005 s
% 0.62/0.83  % (27031)Instructions burned: 8 (million)
% 0.62/0.83  % (27031)------------------------------
% 0.62/0.83  % (27031)------------------------------
% 0.62/0.83  % (27033)First to succeed.
% 0.62/0.83  % (27041)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 (2994ds/208Mi)
% 0.62/0.83  % (27039)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 (2994ds/55Mi)
% 0.62/0.83  % (27040)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 (2994ds/50Mi)
% 0.62/0.83  % (27042)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 (2994ds/52Mi)
% 0.62/0.83  % (27033)Refutation found. Thanks to Tanya!
% 0.62/0.83  % SZS status Unsatisfiable for Vampire---4
% 0.62/0.83  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.83  % (27033)------------------------------
% 0.62/0.83  % (27033)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.83  % (27033)Termination reason: Refutation
% 0.62/0.83  
% 0.62/0.83  % (27033)Memory used [KB]: 1839
% 0.62/0.83  % (27033)Time elapsed: 0.009 s
% 0.62/0.83  % (27033)Instructions burned: 13 (million)
% 0.62/0.83  % (27033)------------------------------
% 0.62/0.83  % (27033)------------------------------
% 0.62/0.83  % (27030)Success in time 0.504 s
% 0.62/0.84  % Vampire---4.8 exiting
%------------------------------------------------------------------------------