TSTP Solution File: SET130-6 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET130-6 : 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 : n020.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 09:04:15 EDT 2024

% Result   : Unsatisfiable 0.59s 0.76s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   24 (   9 unt;   0 def)
%            Number of atoms       :   40 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   34 (  18   ~;  14   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :   11 (   3 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-2 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f309,plain,
    $false,
    inference(avatar_sat_refutation,[],[f297,f300,f308]) ).

fof(f308,plain,
    ( ~ spl0_19
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f305,f294,f290]) ).

fof(f290,plain,
    ( spl0_19
  <=> member(u,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f294,plain,
    ( spl0_20
  <=> member(u,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f305,plain,
    ( ~ member(u,universal_class)
    | ~ spl0_20 ),
    inference(resolution,[],[f303,f10]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( member(X1,unordered_pair(X0,X1))
      | ~ member(X1,universal_class) ),
    file('/export/starexec/sandbox/tmp/tmp.wYJyAMj6ke/Vampire---4.8_13312',unordered_pair3) ).

fof(f303,plain,
    ( ~ member(u,unordered_pair(u,u))
    | ~ spl0_20 ),
    inference(resolution,[],[f302,f24]) ).

fof(f24,axiom,
    ! [X0,X4] :
      ( ~ member(X4,complement(X0))
      | ~ member(X4,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.wYJyAMj6ke/Vampire---4.8_13312',complement1) ).

fof(f302,plain,
    ( member(u,complement(unordered_pair(u,u)))
    | ~ spl0_20 ),
    inference(resolution,[],[f296,f21]) ).

fof(f21,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,intersection(X0,X1))
      | member(X4,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.wYJyAMj6ke/Vampire---4.8_13312',intersection1) ).

fof(f296,plain,
    ( member(u,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f300,plain,
    spl0_19,
    inference(avatar_contradiction_clause,[],[f298]) ).

fof(f298,plain,
    ( $false
    | spl0_19 ),
    inference(resolution,[],[f292,f93]) ).

fof(f93,axiom,
    member(u,universal_class),
    file('/export/starexec/sandbox/tmp/tmp.wYJyAMj6ke/Vampire---4.8_13312',prove_member_of_triple1_1) ).

fof(f292,plain,
    ( ~ member(u,universal_class)
    | spl0_19 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f297,plain,
    ( ~ spl0_19
    | spl0_20 ),
    inference(avatar_split_clause,[],[f285,f294,f290]) ).

fof(f285,plain,
    ( member(u,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
    | ~ member(u,universal_class) ),
    inference(resolution,[],[f25,f144]) ).

fof(f144,plain,
    ~ member(u,complement(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))),
    inference(definition_unfolding,[],[f94,f100,f100,f100]) ).

fof(f100,plain,
    ! [X0,X1] : set_builder(X0,X1) = complement(intersection(complement(unordered_pair(X0,X0)),complement(X1))),
    inference(definition_unfolding,[],[f92,f26,f12]) ).

fof(f12,axiom,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox/tmp/tmp.wYJyAMj6ke/Vampire---4.8_13312',singleton_set) ).

fof(f26,axiom,
    ! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
    file('/export/starexec/sandbox/tmp/tmp.wYJyAMj6ke/Vampire---4.8_13312',union) ).

fof(f92,axiom,
    ! [X0,X1] : union(singleton(X0),X1) = set_builder(X0,X1),
    file('/export/starexec/sandbox/tmp/tmp.wYJyAMj6ke/Vampire---4.8_13312',definition_of_set_builder) ).

fof(f94,axiom,
    ~ member(u,set_builder(u,set_builder(y,set_builder(z,null_class)))),
    file('/export/starexec/sandbox/tmp/tmp.wYJyAMj6ke/Vampire---4.8_13312',prove_member_of_triple1_2) ).

fof(f25,axiom,
    ! [X0,X4] :
      ( member(X4,complement(X0))
      | member(X4,X0)
      | ~ member(X4,universal_class) ),
    file('/export/starexec/sandbox/tmp/tmp.wYJyAMj6ke/Vampire---4.8_13312',complement2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SET130-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.04/0.15  % 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
% 0.15/0.36  % Computer : n020.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 16:59:23 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.36  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.wYJyAMj6ke/Vampire---4.8_13312
% 0.59/0.75  % (13427)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)
% 0.59/0.75  % (13427)Refutation not found, incomplete strategy% (13427)------------------------------
% 0.59/0.75  % (13427)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (13427)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (13427)Memory used [KB]: 1054
% 0.59/0.75  % (13427)Time elapsed: 0.002 s
% 0.59/0.75  % (13427)Instructions burned: 2 (million)
% 0.59/0.75  % (13427)------------------------------
% 0.59/0.75  % (13427)------------------------------
% 0.59/0.75  % (13420)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)
% 0.59/0.75  % (13422)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.75  % (13424)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)
% 0.59/0.75  % (13421)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)
% 0.59/0.75  % (13425)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)
% 0.59/0.75  % (13426)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)
% 0.59/0.75  % (13423)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)
% 0.59/0.75  % (13423)Refutation not found, incomplete strategy% (13423)------------------------------
% 0.59/0.75  % (13423)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (13423)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (13423)Memory used [KB]: 1054
% 0.59/0.75  % (13423)Time elapsed: 0.003 s
% 0.59/0.75  % (13423)Instructions burned: 2 (million)
% 0.59/0.75  % (13423)------------------------------
% 0.59/0.75  % (13423)------------------------------
% 0.59/0.75  % (13428)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)
% 0.59/0.75  % (13428)Refutation not found, incomplete strategy% (13428)------------------------------
% 0.59/0.75  % (13428)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (13428)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (13428)Memory used [KB]: 1053
% 0.59/0.75  % (13428)Time elapsed: 0.001 s
% 0.59/0.75  % (13428)Instructions burned: 2 (million)
% 0.59/0.75  % (13428)------------------------------
% 0.59/0.75  % (13428)------------------------------
% 0.59/0.75  % (13420)Refutation not found, incomplete strategy% (13420)------------------------------
% 0.59/0.75  % (13420)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (13420)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (13420)Memory used [KB]: 1102
% 0.59/0.75  % (13420)Time elapsed: 0.006 s
% 0.59/0.75  % (13420)Instructions burned: 6 (million)
% 0.59/0.75  % (13420)------------------------------
% 0.59/0.75  % (13420)------------------------------
% 0.59/0.75  % (13430)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)
% 0.59/0.75  % (13429)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)
% 0.59/0.76  % (13430)Refutation not found, incomplete strategy% (13430)------------------------------
% 0.59/0.76  % (13430)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (13430)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (13430)Memory used [KB]: 1081
% 0.59/0.76  % (13430)Time elapsed: 0.002 s
% 0.59/0.76  % (13430)Instructions burned: 4 (million)
% 0.59/0.76  % (13430)------------------------------
% 0.59/0.76  % (13430)------------------------------
% 0.59/0.76  % (13421)First to succeed.
% 0.59/0.76  % (13431)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)
% 0.59/0.76  % (13421)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13419"
% 0.59/0.76  % (13432)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 (2996ds/518Mi)
% 0.59/0.76  % (13421)Refutation found. Thanks to Tanya!
% 0.59/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.59/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.76  % (13421)------------------------------
% 0.59/0.76  % (13421)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (13421)Termination reason: Refutation
% 0.59/0.76  
% 0.59/0.76  % (13421)Memory used [KB]: 1227
% 0.59/0.76  % (13421)Time elapsed: 0.011 s
% 0.59/0.76  % (13421)Instructions burned: 14 (million)
% 0.59/0.76  % (13419)Success in time 0.39 s
% 0.59/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------