TSTP Solution File: SET186-6 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET186-6 : 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 : n012.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 03:45:41 EDT 2024

% Result   : Unsatisfiable 0.60s 0.81s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   29 (  10 unt;   0 def)
%            Number of atoms       :   50 (   3 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   40 (  19   ~;  19   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f354,plain,
    $false,
    inference(avatar_sat_refutation,[],[f326,f348,f353]) ).

fof(f353,plain,
    ~ spl0_19,
    inference(avatar_contradiction_clause,[],[f352]) ).

fof(f352,plain,
    ( $false
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f349,f114]) ).

fof(f114,axiom,
    ~ subclass(x,y),
    file('/export/starexec/sandbox/tmp/tmp.G8iD6Uc9ex/Vampire---4.8_9630',prove_subclass_property4_2) ).

fof(f349,plain,
    ( subclass(x,y)
    | ~ spl0_19 ),
    inference(resolution,[],[f325,f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(X0,X1),X1)
      | subclass(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.G8iD6Uc9ex/Vampire---4.8_9630',not_subclass_members2) ).

fof(f325,plain,
    ( member(not_subclass_element(x,y),y)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f323]) ).

fof(f323,plain,
    ( spl0_19
  <=> member(not_subclass_element(x,y),y) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f348,plain,
    ~ spl0_18,
    inference(avatar_contradiction_clause,[],[f347]) ).

fof(f347,plain,
    ( $false
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f345,f187]) ).

fof(f187,plain,
    member(not_subclass_element(x,y),x),
    inference(resolution,[],[f2,f114]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | member(not_subclass_element(X0,X1),X0) ),
    file('/export/starexec/sandbox/tmp/tmp.G8iD6Uc9ex/Vampire---4.8_9630',not_subclass_members1) ).

fof(f345,plain,
    ( ~ member(not_subclass_element(x,y),x)
    | ~ spl0_18 ),
    inference(resolution,[],[f328,f24]) ).

fof(f24,axiom,
    ! [X0,X4] :
      ( ~ member(X4,complement(X0))
      | ~ member(X4,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.G8iD6Uc9ex/Vampire---4.8_9630',complement1) ).

fof(f328,plain,
    ( member(not_subclass_element(x,y),complement(x))
    | ~ spl0_18 ),
    inference(resolution,[],[f321,f21]) ).

fof(f21,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,intersection(X0,X1))
      | member(X4,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.G8iD6Uc9ex/Vampire---4.8_9630',intersection1) ).

fof(f321,plain,
    ( member(not_subclass_element(x,y),intersection(complement(x),complement(y)))
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f319]) ).

fof(f319,plain,
    ( spl0_18
  <=> member(not_subclass_element(x,y),intersection(complement(x),complement(y))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f326,plain,
    ( spl0_18
    | spl0_19 ),
    inference(avatar_split_clause,[],[f317,f323,f319]) ).

fof(f317,plain,
    ( member(not_subclass_element(x,y),y)
    | member(not_subclass_element(x,y),intersection(complement(x),complement(y))) ),
    inference(superposition,[],[f285,f124]) ).

fof(f124,plain,
    y = complement(intersection(complement(x),complement(y))),
    inference(definition_unfolding,[],[f113,f26]) ).

fof(f26,axiom,
    ! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
    file('/export/starexec/sandbox/tmp/tmp.G8iD6Uc9ex/Vampire---4.8_9630',union) ).

fof(f113,axiom,
    y = union(x,y),
    file('/export/starexec/sandbox/tmp/tmp.G8iD6Uc9ex/Vampire---4.8_9630',prove_subclass_property4_1) ).

fof(f285,plain,
    ! [X0] :
      ( member(not_subclass_element(x,y),complement(X0))
      | member(not_subclass_element(x,y),X0) ),
    inference(resolution,[],[f25,f211]) ).

fof(f211,plain,
    member(not_subclass_element(x,y),universal_class),
    inference(resolution,[],[f206,f4]) ).

fof(f4,axiom,
    ! [X0] : subclass(X0,universal_class),
    file('/export/starexec/sandbox/tmp/tmp.G8iD6Uc9ex/Vampire---4.8_9630',class_elements_are_sets) ).

fof(f206,plain,
    ! [X0] :
      ( ~ subclass(x,X0)
      | member(not_subclass_element(x,y),X0) ),
    inference(resolution,[],[f1,f187]) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X2,X0)
      | member(X2,X1)
      | ~ subclass(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.G8iD6Uc9ex/Vampire---4.8_9630',subclass_members) ).

fof(f25,axiom,
    ! [X0,X4] :
      ( ~ member(X4,universal_class)
      | member(X4,complement(X0))
      | member(X4,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.G8iD6Uc9ex/Vampire---4.8_9630',complement2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem    : SET186-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.11  % 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 : n012.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 17:06:56 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.G8iD6Uc9ex/Vampire---4.8_9630
% 0.60/0.79  % (9742)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)
% 0.60/0.79  % (9743)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.80  % (9741)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)
% 0.60/0.80  % (9744)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)
% 0.60/0.80  % (9745)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)
% 0.60/0.80  % (9746)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)
% 0.60/0.80  % (9747)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)
% 0.60/0.80  % (9748)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)
% 0.60/0.80  % (9741)Refutation not found, incomplete strategy% (9741)------------------------------
% 0.60/0.80  % (9741)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (9741)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  % (9748)Refutation not found, incomplete strategy% (9748)------------------------------
% 0.60/0.80  % (9748)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (9748)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (9748)Memory used [KB]: 1071
% 0.60/0.80  % (9744)Refutation not found, incomplete strategy% (9744)------------------------------
% 0.60/0.80  % (9744)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (9748)Time elapsed: 0.002 s
% 0.60/0.80  % (9744)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (9748)Instructions burned: 2 (million)
% 0.60/0.80  % (9748)------------------------------
% 0.60/0.80  % (9748)------------------------------
% 0.60/0.80  % (9744)Memory used [KB]: 1071
% 0.60/0.80  % (9744)Time elapsed: 0.003 s
% 0.60/0.80  % (9744)Instructions burned: 2 (million)
% 0.60/0.80  % (9744)------------------------------
% 0.60/0.80  % (9744)------------------------------
% 0.60/0.80  
% 0.60/0.80  % (9741)Memory used [KB]: 1084
% 0.60/0.80  % (9741)Time elapsed: 0.003 s
% 0.60/0.80  % (9741)Instructions burned: 3 (million)
% 0.60/0.80  % (9741)------------------------------
% 0.60/0.80  % (9741)------------------------------
% 0.60/0.80  % (9745)Refutation not found, incomplete strategy% (9745)------------------------------
% 0.60/0.80  % (9745)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (9745)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (9745)Memory used [KB]: 1142
% 0.60/0.80  % (9745)Time elapsed: 0.004 s
% 0.60/0.80  % (9745)Instructions burned: 6 (million)
% 0.60/0.80  % (9745)------------------------------
% 0.60/0.80  % (9745)------------------------------
% 0.60/0.80  % (9751)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)
% 0.60/0.80  % (9749)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)
% 0.60/0.80  % (9750)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)
% 0.60/0.80  % (9749)Refutation not found, incomplete strategy% (9749)------------------------------
% 0.60/0.80  % (9749)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (9749)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (9749)Memory used [KB]: 1072
% 0.60/0.80  % (9752)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)
% 0.60/0.80  % (9749)Time elapsed: 0.003 s
% 0.60/0.80  % (9749)Instructions burned: 2 (million)
% 0.60/0.80  % (9749)------------------------------
% 0.60/0.80  % (9749)------------------------------
% 0.60/0.80  % (9751)Refutation not found, incomplete strategy% (9751)------------------------------
% 0.60/0.80  % (9751)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (9751)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (9751)Memory used [KB]: 1090
% 0.60/0.80  % (9751)Time elapsed: 0.003 s
% 0.60/0.80  % (9751)Instructions burned: 3 (million)
% 0.60/0.80  % (9751)------------------------------
% 0.60/0.80  % (9751)------------------------------
% 0.60/0.80  % (9743)First to succeed.
% 0.60/0.81  % (9753)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)
% 0.60/0.81  % (9754)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)
% 0.60/0.81  % (9743)Refutation found. Thanks to Tanya!
% 0.60/0.81  % SZS status Unsatisfiable for Vampire---4
% 0.60/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.81  % (9743)------------------------------
% 0.60/0.81  % (9743)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (9743)Termination reason: Refutation
% 0.60/0.81  
% 0.60/0.81  % (9743)Memory used [KB]: 1231
% 0.60/0.81  % (9743)Time elapsed: 0.012 s
% 0.60/0.81  % (9743)Instructions burned: 19 (million)
% 0.60/0.81  % (9743)------------------------------
% 0.60/0.81  % (9743)------------------------------
% 0.60/0.81  % (9738)Success in time 0.481 s
% 0.60/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------