TSTP Solution File: SET101-6 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET101-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 : n005.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 03:45:03 EDT 2024

% Result   : Unsatisfiable 0.58s 0.77s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    9 (   8 unt;   0 def)
%            Number of atoms       :   10 (   3 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    5 (   4   ~;   1   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f169,plain,
    $false,
    inference(resolution,[],[f167,f11]) ).

fof(f11,axiom,
    ! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
    file('/export/starexec/sandbox/tmp/tmp.J1yanIFeZt/Vampire---4.8_9798',unordered_pairs_in_universal) ).

fof(f167,plain,
    ~ member(unordered_pair(x,x),universal_class),
    inference(resolution,[],[f9,f141]) ).

fof(f141,plain,
    ~ member(unordered_pair(x,x),unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y)))),
    inference(definition_unfolding,[],[f92,f12,f97]) ).

fof(f97,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
    inference(definition_unfolding,[],[f13,f12,f12]) ).

fof(f13,axiom,
    ! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
    file('/export/starexec/sandbox/tmp/tmp.J1yanIFeZt/Vampire---4.8_9798',ordered_pair) ).

fof(f12,axiom,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox/tmp/tmp.J1yanIFeZt/Vampire---4.8_9798',singleton_set) ).

fof(f92,axiom,
    ~ member(singleton(x),ordered_pair(x,y)),
    file('/export/starexec/sandbox/tmp/tmp.J1yanIFeZt/Vampire---4.8_9798',prove_singleton_member_of_ordered_pair_1) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( member(X0,unordered_pair(X0,X1))
      | ~ member(X0,universal_class) ),
    file('/export/starexec/sandbox/tmp/tmp.J1yanIFeZt/Vampire---4.8_9798',unordered_pair2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SET101-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.15  % 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
% 0.15/0.37  % Computer : n005.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   : Tue Apr 30 17:08:56 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.J1yanIFeZt/Vampire---4.8_9798
% 0.58/0.76  % (10204)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)
% 0.58/0.76  % (10204)Refutation not found, incomplete strategy% (10204)------------------------------
% 0.58/0.76  % (10204)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76  % (10204)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (10204)Memory used [KB]: 1050
% 0.58/0.76  % (10204)Time elapsed: 0.002 s
% 0.58/0.76  % (10204)Instructions burned: 2 (million)
% 0.58/0.76  % (10204)------------------------------
% 0.58/0.76  % (10204)------------------------------
% 0.58/0.76  % (10197)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)
% 0.58/0.76  % (10198)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)
% 0.58/0.76  % (10200)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)
% 0.58/0.76  % (10202)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)
% 0.58/0.76  % (10201)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)
% 0.58/0.76  % (10203)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)
% 0.58/0.77  % (10199)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.77  % (10202)Refutation not found, incomplete strategy% (10202)------------------------------
% 0.58/0.77  % (10202)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.77  % (10202)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.77  
% 0.58/0.77  % (10202)Memory used [KB]: 1050
% 0.58/0.77  % (10202)Time elapsed: 0.002 s
% 0.58/0.77  % (10202)Instructions burned: 2 (million)
% 0.58/0.77  % (10202)------------------------------
% 0.58/0.77  % (10202)------------------------------
% 0.58/0.77  % (10199)Refutation not found, incomplete strategy% (10199)------------------------------
% 0.58/0.77  % (10199)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.77  % (10199)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.77  
% 0.58/0.77  % (10199)Memory used [KB]: 1065
% 0.58/0.77  % (10199)Time elapsed: 0.003 s
% 0.58/0.77  % (10199)Instructions burned: 2 (million)
% 0.58/0.77  % (10199)------------------------------
% 0.58/0.77  % (10199)------------------------------
% 0.58/0.77  % (10197)Refutation not found, incomplete strategy% (10197)------------------------------
% 0.58/0.77  % (10197)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.77  % (10197)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.77  
% 0.58/0.77  % (10197)Memory used [KB]: 1071
% 0.58/0.77  % (10197)Time elapsed: 0.003 s
% 0.58/0.77  % (10197)Instructions burned: 3 (million)
% 0.58/0.77  % (10197)------------------------------
% 0.58/0.77  % (10197)------------------------------
% 0.58/0.77  % (10207)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)
% 0.58/0.77  % (10201)Refutation not found, incomplete strategy% (10201)------------------------------
% 0.58/0.77  % (10201)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.77  % (10201)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.77  
% 0.58/0.77  % (10201)Memory used [KB]: 1131
% 0.58/0.77  % (10201)Time elapsed: 0.004 s
% 0.58/0.77  % (10201)Instructions burned: 5 (million)
% 0.58/0.77  % (10201)------------------------------
% 0.58/0.77  % (10201)------------------------------
% 0.58/0.77  % (10198)First to succeed.
% 0.58/0.77  % (10208)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)
% 0.58/0.77  % (10210)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)
% 0.58/0.77  % (10198)Refutation found. Thanks to Tanya!
% 0.58/0.77  % SZS status Unsatisfiable for Vampire---4
% 0.58/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.77  % (10198)------------------------------
% 0.58/0.77  % (10198)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.77  % (10198)Termination reason: Refutation
% 0.58/0.77  
% 0.58/0.77  % (10198)Memory used [KB]: 1175
% 0.58/0.77  % (10198)Time elapsed: 0.007 s
% 0.58/0.77  % (10198)Instructions burned: 10 (million)
% 0.58/0.77  % (10198)------------------------------
% 0.58/0.77  % (10198)------------------------------
% 0.58/0.77  % (10045)Success in time 0.393 s
% 0.58/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------