TSTP Solution File: SET117-6 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET117-6 : 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 : 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 : Sun May  5 09:04:09 EDT 2024

% Result   : Unsatisfiable 0.70s 0.87s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    9 (   9 unt;   0 def)
%            Number of atoms       :    9 (   5 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    1 (   1   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f147,plain,
    $false,
    inference(resolution,[],[f146,f93]) ).

fof(f93,axiom,
    ~ member(x,universal_class),
    file('/export/starexec/sandbox/tmp/tmp.2cG9SoTiLW/Vampire---4.8_32164',prove_corollary_1_to_ordered_pairs_are_sets_2) ).

fof(f146,plain,
    member(x,universal_class),
    inference(superposition,[],[f11,f142]) ).

fof(f142,plain,
    x = unordered_pair(unordered_pair(first(x),first(x)),unordered_pair(first(x),unordered_pair(second(x),second(x)))),
    inference(definition_unfolding,[],[f92,f98]) ).

fof(f98,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(f12,axiom,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox/tmp/tmp.2cG9SoTiLW/Vampire---4.8_32164',singleton_set) ).

fof(f13,axiom,
    ! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
    file('/export/starexec/sandbox/tmp/tmp.2cG9SoTiLW/Vampire---4.8_32164',ordered_pair) ).

fof(f92,axiom,
    x = ordered_pair(first(x),second(x)),
    file('/export/starexec/sandbox/tmp/tmp.2cG9SoTiLW/Vampire---4.8_32164',prove_corollary_1_to_ordered_pairs_are_sets_1) ).

fof(f11,axiom,
    ! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
    file('/export/starexec/sandbox/tmp/tmp.2cG9SoTiLW/Vampire---4.8_32164',unordered_pairs_in_universal) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SET117-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.14  % 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
% 0.13/0.35  % Computer : n016.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 17:06:38 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.13/0.36  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.2cG9SoTiLW/Vampire---4.8_32164
% 0.70/0.86  % (32483)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.70/0.86  % (32481)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)
% 0.70/0.86  % (32482)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)
% 0.70/0.86  % (32484)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)
% 0.70/0.86  % (32488)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)
% 0.70/0.86  % (32485)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)
% 0.70/0.86  % (32486)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)
% 0.70/0.86  % (32487)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)
% 0.70/0.86  % (32488)Refutation not found, incomplete strategy% (32488)------------------------------
% 0.70/0.86  % (32488)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.86  % (32488)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.86  
% 0.70/0.86  % (32488)Memory used [KB]: 1052
% 0.70/0.86  % (32488)Time elapsed: 0.002 s
% 0.70/0.86  % (32488)Instructions burned: 2 (million)
% 0.70/0.86  % (32488)------------------------------
% 0.70/0.86  % (32488)------------------------------
% 0.70/0.86  % (32486)Refutation not found, incomplete strategy% (32486)------------------------------
% 0.70/0.86  % (32486)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.86  % (32486)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.86  
% 0.70/0.86  % (32486)Memory used [KB]: 1057
% 0.70/0.86  % (32486)Time elapsed: 0.003 s
% 0.70/0.86  % (32486)Instructions burned: 2 (million)
% 0.70/0.86  % (32486)------------------------------
% 0.70/0.86  % (32486)------------------------------
% 0.70/0.87  % (32481)Refutation not found, incomplete strategy% (32481)------------------------------
% 0.70/0.87  % (32481)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.87  % (32481)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.87  
% 0.70/0.87  % (32481)Memory used [KB]: 1100
% 0.70/0.87  % (32481)Time elapsed: 0.006 s
% 0.70/0.87  % (32481)Instructions burned: 9 (million)
% 0.70/0.87  % (32482)First to succeed.
% 0.70/0.87  % (32489)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)
% 0.70/0.87  % (32481)------------------------------
% 0.70/0.87  % (32481)------------------------------
% 0.70/0.87  % (32482)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32389"
% 0.70/0.87  % (32490)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)
% 0.70/0.87  % (32482)Refutation found. Thanks to Tanya!
% 0.70/0.87  % SZS status Unsatisfiable for Vampire---4
% 0.70/0.87  % SZS output start Proof for Vampire---4
% See solution above
% 0.70/0.87  % (32482)------------------------------
% 0.70/0.87  % (32482)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.87  % (32482)Termination reason: Refutation
% 0.70/0.87  
% 0.70/0.87  % (32482)Memory used [KB]: 1123
% 0.70/0.87  % (32482)Time elapsed: 0.007 s
% 0.70/0.87  % (32482)Instructions burned: 9 (million)
% 0.70/0.87  % (32389)Success in time 0.502 s
% 0.70/0.87  % Vampire---4.8 exiting
%------------------------------------------------------------------------------