TSTP Solution File: SET192-6 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET192-6 : 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 : n023.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 03:45:42 EDT 2024

% Result   : Unsatisfiable 0.61s 0.82s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   22 (  11 unt;   0 def)
%            Number of atoms       :   35 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   28 (  15   ~;  11   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f369,plain,
    $false,
    inference(avatar_sat_refutation,[],[f268,f356,f368]) ).

fof(f368,plain,
    ~ spl1_4,
    inference(avatar_contradiction_clause,[],[f367]) ).

fof(f367,plain,
    ( $false
    | ~ spl1_4 ),
    inference(subsumption_resolution,[],[f357,f267]) ).

fof(f267,plain,
    ( member(not_subclass_element(complement(y),complement(x)),x)
    | ~ spl1_4 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f265,plain,
    ( spl1_4
  <=> member(not_subclass_element(complement(y),complement(x)),x) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).

fof(f357,plain,
    ~ member(not_subclass_element(complement(y),complement(x)),x),
    inference(unit_resulting_resolution,[],[f113,f327,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X2,X0)
      | member(X2,X1)
      | ~ subclass(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.QN1uLKVDSQ/Vampire---4.8_16066',subclass_members) ).

fof(f327,plain,
    ~ member(not_subclass_element(complement(y),complement(x)),y),
    inference(unit_resulting_resolution,[],[f210,f24]) ).

fof(f24,axiom,
    ! [X0,X4] :
      ( ~ member(X4,X0)
      | ~ member(X4,complement(X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.QN1uLKVDSQ/Vampire---4.8_16066',complement1) ).

fof(f210,plain,
    member(not_subclass_element(complement(y),complement(x)),complement(y)),
    inference(unit_resulting_resolution,[],[f114,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | member(not_subclass_element(X0,X1),X0) ),
    file('/export/starexec/sandbox/tmp/tmp.QN1uLKVDSQ/Vampire---4.8_16066',not_subclass_members1) ).

fof(f114,axiom,
    ~ subclass(complement(y),complement(x)),
    file('/export/starexec/sandbox/tmp/tmp.QN1uLKVDSQ/Vampire---4.8_16066',prove_subclass_property9_2) ).

fof(f113,axiom,
    subclass(x,y),
    file('/export/starexec/sandbox/tmp/tmp.QN1uLKVDSQ/Vampire---4.8_16066',prove_subclass_property9_1) ).

fof(f356,plain,
    spl1_3,
    inference(avatar_split_clause,[],[f328,f261]) ).

fof(f261,plain,
    ( spl1_3
  <=> member(not_subclass_element(complement(y),complement(x)),universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

fof(f328,plain,
    member(not_subclass_element(complement(y),complement(x)),universal_class),
    inference(unit_resulting_resolution,[],[f4,f210,f1]) ).

fof(f4,axiom,
    ! [X0] : subclass(X0,universal_class),
    file('/export/starexec/sandbox/tmp/tmp.QN1uLKVDSQ/Vampire---4.8_16066',class_elements_are_sets) ).

fof(f268,plain,
    ( ~ spl1_3
    | spl1_4 ),
    inference(avatar_split_clause,[],[f256,f265,f261]) ).

fof(f256,plain,
    ( member(not_subclass_element(complement(y),complement(x)),x)
    | ~ member(not_subclass_element(complement(y),complement(x)),universal_class) ),
    inference(resolution,[],[f209,f25]) ).

fof(f25,axiom,
    ! [X0,X4] :
      ( member(X4,complement(X0))
      | member(X4,X0)
      | ~ member(X4,universal_class) ),
    file('/export/starexec/sandbox/tmp/tmp.QN1uLKVDSQ/Vampire---4.8_16066',complement2) ).

fof(f209,plain,
    ~ member(not_subclass_element(complement(y),complement(x)),complement(x)),
    inference(unit_resulting_resolution,[],[f114,f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | ~ member(not_subclass_element(X0,X1),X1) ),
    file('/export/starexec/sandbox/tmp/tmp.QN1uLKVDSQ/Vampire---4.8_16066',not_subclass_members2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09  % Problem    : SET192-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.04/0.11  % 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
% 0.10/0.31  % Computer : n023.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Apr 30 17:29:40 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.16/0.31  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.QN1uLKVDSQ/Vampire---4.8_16066
% 0.61/0.80  % (16183)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)
% 0.61/0.80  % (16182)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)
% 0.61/0.80  % (16184)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)
% 0.61/0.80  % (16181)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.80  % (16179)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)
% 0.61/0.80  % (16180)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)
% 0.61/0.80  % (16185)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)
% 0.61/0.80  % (16186)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)
% 0.61/0.80  % (16186)Refutation not found, incomplete strategy% (16186)------------------------------
% 0.61/0.80  % (16186)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (16182)Refutation not found, incomplete strategy% (16182)------------------------------
% 0.61/0.80  % (16182)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (16182)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (16182)Memory used [KB]: 1071
% 0.61/0.80  % (16182)Time elapsed: 0.003 s
% 0.61/0.80  % (16182)Instructions burned: 2 (million)
% 0.61/0.80  % (16182)------------------------------
% 0.61/0.80  % (16182)------------------------------
% 0.61/0.80  % (16186)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  % (16179)Refutation not found, incomplete strategy% (16179)------------------------------
% 0.61/0.80  % (16179)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (16179)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (16179)Memory used [KB]: 1085
% 0.61/0.80  % (16179)Time elapsed: 0.003 s
% 0.61/0.80  % (16179)Instructions burned: 3 (million)
% 0.61/0.80  % (16179)------------------------------
% 0.61/0.80  % (16179)------------------------------
% 0.61/0.80  
% 0.61/0.80  % (16184)Refutation not found, incomplete strategy% (16184)------------------------------
% 0.61/0.80  % (16184)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (16184)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (16184)Memory used [KB]: 1084
% 0.61/0.80  % (16184)Time elapsed: 0.003 s
% 0.61/0.80  % (16184)Instructions burned: 2 (million)
% 0.61/0.80  % (16184)------------------------------
% 0.61/0.80  % (16184)------------------------------
% 0.61/0.80  % (16186)Memory used [KB]: 1070
% 0.61/0.80  % (16186)Time elapsed: 0.003 s
% 0.61/0.80  % (16186)Instructions burned: 2 (million)
% 0.61/0.80  % (16186)------------------------------
% 0.61/0.80  % (16186)------------------------------
% 0.61/0.80  % (16181)Refutation not found, incomplete strategy% (16181)------------------------------
% 0.61/0.80  % (16181)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (16181)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (16181)Memory used [KB]: 1086
% 0.61/0.80  % (16181)Time elapsed: 0.003 s
% 0.61/0.80  % (16181)Instructions burned: 3 (million)
% 0.61/0.80  % (16181)------------------------------
% 0.61/0.80  % (16181)------------------------------
% 0.61/0.80  % (16185)Refutation not found, incomplete strategy% (16185)------------------------------
% 0.61/0.80  % (16185)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (16185)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (16185)Memory used [KB]: 1086
% 0.61/0.80  % (16185)Time elapsed: 0.003 s
% 0.61/0.80  % (16185)Instructions burned: 3 (million)
% 0.61/0.80  % (16185)------------------------------
% 0.61/0.80  % (16185)------------------------------
% 0.61/0.80  % (16183)Refutation not found, incomplete strategy% (16183)------------------------------
% 0.61/0.80  % (16183)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (16183)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (16183)Memory used [KB]: 1129
% 0.61/0.80  % (16183)Time elapsed: 0.004 s
% 0.61/0.80  % (16183)Instructions burned: 6 (million)
% 0.61/0.80  % (16183)------------------------------
% 0.61/0.80  % (16183)------------------------------
% 0.61/0.81  % (16187)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)
% 0.61/0.81  % (16189)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)
% 0.61/0.81  % (16188)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)
% 0.61/0.81  % (16191)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)
% 0.61/0.81  % (16190)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)
% 0.61/0.81  % (16192)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)
% 0.61/0.81  % (16187)Refutation not found, incomplete strategy% (16187)------------------------------
% 0.61/0.81  % (16187)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (16187)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (16187)Memory used [KB]: 1070
% 0.61/0.81  % (16187)Time elapsed: 0.003 s
% 0.61/0.81  % (16187)Instructions burned: 2 (million)
% 0.61/0.81  % (16187)------------------------------
% 0.61/0.81  % (16187)------------------------------
% 0.61/0.81  % (16193)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.61/0.81  % (16189)Refutation not found, incomplete strategy% (16189)------------------------------
% 0.61/0.81  % (16189)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (16189)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (16189)Memory used [KB]: 1091
% 0.61/0.81  % (16189)Time elapsed: 0.003 s
% 0.61/0.81  % (16189)Instructions burned: 3 (million)
% 0.61/0.81  % (16189)------------------------------
% 0.61/0.81  % (16189)------------------------------
% 0.61/0.81  % (16191)Refutation not found, incomplete strategy% (16191)------------------------------
% 0.61/0.81  % (16191)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (16191)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (16191)Memory used [KB]: 1143
% 0.61/0.81  % (16191)Time elapsed: 0.004 s
% 0.61/0.81  % (16191)Instructions burned: 5 (million)
% 0.61/0.81  % (16191)------------------------------
% 0.61/0.81  % (16191)------------------------------
% 0.61/0.81  % (16194)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.61/0.81  % (16195)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.61/0.81  % (16193)Refutation not found, incomplete strategy% (16193)------------------------------
% 0.61/0.81  % (16193)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (16194)Refutation not found, incomplete strategy% (16194)------------------------------
% 0.61/0.81  % (16194)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (16194)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (16194)Memory used [KB]: 1087
% 0.61/0.81  % (16194)Time elapsed: 0.002 s
% 0.61/0.81  % (16194)Instructions burned: 2 (million)
% 0.61/0.81  % (16194)------------------------------
% 0.61/0.81  % (16194)------------------------------
% 0.61/0.81  % (16193)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (16193)Memory used [KB]: 1156
% 0.61/0.81  % (16193)Time elapsed: 0.006 s
% 0.61/0.81  % (16193)Instructions burned: 8 (million)
% 0.61/0.81  % (16193)------------------------------
% 0.61/0.81  % (16193)------------------------------
% 0.61/0.81  % (16196)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.61/0.82  % (16197)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.61/0.82  % (16198)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.61/0.82  % (16198)Refutation not found, incomplete strategy% (16198)------------------------------
% 0.61/0.82  % (16198)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (16198)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82  
% 0.61/0.82  % (16198)Memory used [KB]: 1113
% 0.61/0.82  % (16198)Time elapsed: 0.004 s
% 0.61/0.82  % (16198)Instructions burned: 5 (million)
% 0.61/0.82  % (16198)------------------------------
% 0.61/0.82  % (16198)------------------------------
% 0.61/0.82  % (16199)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.61/0.82  % (16197)First to succeed.
% 0.61/0.82  % (16197)Refutation found. Thanks to Tanya!
% 0.61/0.82  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.82  % (16197)------------------------------
% 0.61/0.82  % (16197)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (16197)Termination reason: Refutation
% 0.61/0.82  
% 0.61/0.82  % (16197)Memory used [KB]: 1219
% 0.61/0.82  % (16197)Time elapsed: 0.009 s
% 0.61/0.82  % (16197)Instructions burned: 15 (million)
% 0.61/0.82  % (16197)------------------------------
% 0.61/0.82  % (16197)------------------------------
% 0.61/0.82  % (16174)Success in time 0.504 s
% 0.61/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------