TSTP Solution File: SET094-6 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET094-6 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n022.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 09:03:52 EDT 2024

% Result   : Unsatisfiable 0.59s 0.79s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   11 (   8 unt;   0 def)
%            Number of atoms       :   16 (  11 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   10 (   5   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f358,plain,
    $false,
    inference(trivial_inequality_removal,[],[f357]) ).

fof(f357,plain,
    y != y,
    inference(superposition,[],[f94,f326]) ).

fof(f326,plain,
    member_of(x) = y,
    inference(resolution,[],[f320,f93]) ).

fof(f93,axiom,
    member(y,x),
    file('/export/starexec/sandbox2/tmp/tmp.Y3q6YlDihd/Vampire---4.8_25524',prove_property_of_singletons1_2) ).

fof(f320,plain,
    ! [X0] :
      ( ~ member(X0,x)
      | member_of(x) = X0 ),
    inference(duplicate_literal_removal,[],[f319]) ).

fof(f319,plain,
    ! [X0] :
      ( ~ member(X0,x)
      | member_of(x) = X0
      | member_of(x) = X0 ),
    inference(superposition,[],[f8,f143]) ).

fof(f143,plain,
    x = unordered_pair(member_of(x),member_of(x)),
    inference(definition_unfolding,[],[f92,f12]) ).

fof(f12,axiom,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox2/tmp/tmp.Y3q6YlDihd/Vampire---4.8_25524',singleton_set) ).

fof(f92,axiom,
    x = singleton(member_of(x)),
    file('/export/starexec/sandbox2/tmp/tmp.Y3q6YlDihd/Vampire---4.8_25524',prove_property_of_singletons1_1) ).

fof(f8,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X2,unordered_pair(X0,X1))
      | X0 = X2
      | X1 = X2 ),
    file('/export/starexec/sandbox2/tmp/tmp.Y3q6YlDihd/Vampire---4.8_25524',unordered_pair_member) ).

fof(f94,axiom,
    member_of(x) != y,
    file('/export/starexec/sandbox2/tmp/tmp.Y3q6YlDihd/Vampire---4.8_25524',prove_property_of_singletons1_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem    : SET094-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.05/0.12  % 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
% 0.11/0.33  % Computer : n022.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Fri May  3 16:35:23 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.33  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.11/0.33  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.Y3q6YlDihd/Vampire---4.8_25524
% 0.59/0.78  % (25638)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)
% 0.59/0.78  % (25634)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)
% 0.59/0.78  % (25639)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)
% 0.59/0.78  % (25636)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.59/0.78  % (25635)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)
% 0.59/0.78  % (25637)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)
% 0.59/0.78  % (25641)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)
% 0.59/0.78  % (25640)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)
% 0.59/0.78  % (25641)Refutation not found, incomplete strategy% (25641)------------------------------
% 0.59/0.78  % (25641)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (25641)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78  
% 0.59/0.78  % (25641)Memory used [KB]: 1055
% 0.59/0.78  % (25641)Time elapsed: 0.002 s
% 0.59/0.78  % (25641)Instructions burned: 2 (million)
% 0.59/0.78  % (25637)Refutation not found, incomplete strategy% (25637)------------------------------
% 0.59/0.78  % (25637)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (25637)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78  
% 0.59/0.78  % (25637)Memory used [KB]: 1055
% 0.59/0.78  % (25639)Refutation not found, incomplete strategy% (25639)------------------------------
% 0.59/0.78  % (25639)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (25639)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78  
% 0.59/0.78  % (25639)Memory used [KB]: 1055
% 0.59/0.78  % (25639)Time elapsed: 0.003 s
% 0.59/0.78  % (25639)Instructions burned: 2 (million)
% 0.59/0.78  % (25637)Time elapsed: 0.003 s
% 0.59/0.78  % (25637)Instructions burned: 2 (million)
% 0.59/0.78  % (25641)------------------------------
% 0.59/0.78  % (25641)------------------------------
% 0.59/0.78  % (25639)------------------------------
% 0.59/0.78  % (25639)------------------------------
% 0.59/0.78  % (25637)------------------------------
% 0.59/0.78  % (25637)------------------------------
% 0.59/0.78  % (25636)Refutation not found, incomplete strategy% (25636)------------------------------
% 0.59/0.78  % (25636)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78  % (25636)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78  
% 0.59/0.78  % (25636)Memory used [KB]: 1055
% 0.59/0.78  % (25636)Time elapsed: 0.004 s
% 0.59/0.78  % (25636)Instructions burned: 2 (million)
% 0.59/0.78  % (25636)------------------------------
% 0.59/0.78  % (25636)------------------------------
% 0.59/0.79  % (25638)Refutation not found, incomplete strategy% (25638)------------------------------
% 0.59/0.79  % (25638)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (25638)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.79  
% 0.59/0.79  % (25638)Memory used [KB]: 1145
% 0.59/0.79  % (25638)Time elapsed: 0.006 s
% 0.59/0.79  % (25638)Instructions burned: 8 (million)
% 0.59/0.79  % (25638)------------------------------
% 0.59/0.79  % (25638)------------------------------
% 0.59/0.79  % (25634)Refutation not found, incomplete strategy% (25634)------------------------------
% 0.59/0.79  % (25634)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (25634)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.79  
% 0.59/0.79  % (25634)Memory used [KB]: 1097
% 0.59/0.79  % (25634)Time elapsed: 0.007 s
% 0.59/0.79  % (25634)Instructions burned: 9 (million)
% 0.59/0.79  % (25642)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)
% 0.59/0.79  % (25644)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)
% 0.59/0.79  % (25643)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)
% 0.59/0.79  % (25645)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)
% 0.59/0.79  % (25634)------------------------------
% 0.59/0.79  % (25634)------------------------------
% 0.59/0.79  % (25642)Refutation not found, incomplete strategy% (25642)------------------------------
% 0.59/0.79  % (25642)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (25642)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.79  
% 0.59/0.79  % (25642)Memory used [KB]: 1055
% 0.59/0.79  % (25642)Time elapsed: 0.002 s
% 0.59/0.79  % (25642)Instructions burned: 2 (million)
% 0.59/0.79  % (25642)------------------------------
% 0.59/0.79  % (25642)------------------------------
% 0.59/0.79  % (25644)Refutation not found, incomplete strategy% (25644)------------------------------
% 0.59/0.79  % (25644)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (25644)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.79  
% 0.59/0.79  % (25644)Memory used [KB]: 1083
% 0.59/0.79  % (25644)Time elapsed: 0.004 s
% 0.59/0.79  % (25644)Instructions burned: 5 (million)
% 0.59/0.79  % (25644)------------------------------
% 0.59/0.79  % (25644)------------------------------
% 0.59/0.79  % (25646)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)
% 0.59/0.79  % (25635)First to succeed.
% 0.59/0.79  % (25635)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25632"
% 0.59/0.79  % (25647)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.59/0.79  % (25635)Refutation found. Thanks to Tanya!
% 0.59/0.79  % SZS status Unsatisfiable for Vampire---4
% 0.59/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.79  % (25635)------------------------------
% 0.59/0.79  % (25635)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79  % (25635)Termination reason: Refutation
% 0.59/0.79  
% 0.59/0.79  % (25635)Memory used [KB]: 1232
% 0.59/0.79  % (25635)Time elapsed: 0.010 s
% 0.59/0.79  % (25635)Instructions burned: 15 (million)
% 0.59/0.79  % (25632)Success in time 0.456 s
% 0.59/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------