TSTP Solution File: SET507-6 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET507-6 : TPTP v8.2.0. 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 : n009.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 : Tue May 21 03:11:43 EDT 2024

% Result   : Unsatisfiable 0.56s 0.76s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   22 (   7 unt;   0 def)
%            Number of atoms       :   44 (  12 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   43 (  21   ~;  21   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   24 (  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f528,plain,
    $false,
    inference(avatar_sat_refutation,[],[f318,f527]) ).

fof(f527,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f518]) ).

fof(f518,plain,
    ( $false
    | ~ spl0_2 ),
    inference(resolution,[],[f514,f11]) ).

fof(f11,axiom,
    ! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pairs_in_universal) ).

fof(f514,plain,
    ( ! [X0] : ~ member(X0,universal_class)
    | ~ spl0_2 ),
    inference(duplicate_literal_removal,[],[f513]) ).

fof(f513,plain,
    ( ! [X0] :
        ( ~ member(X0,universal_class)
        | ~ member(X0,universal_class) )
    | ~ spl0_2 ),
    inference(superposition,[],[f24,f495]) ).

fof(f495,plain,
    ( universal_class = complement(universal_class)
    | ~ spl0_2 ),
    inference(resolution,[],[f474,f11]) ).

fof(f474,plain,
    ( ! [X2,X0,X1] :
        ( ~ member(unordered_pair(X1,X2),X0)
        | universal_class = complement(X0) )
    | ~ spl0_2 ),
    inference(resolution,[],[f405,f24]) ).

fof(f405,plain,
    ( ! [X2,X0,X1] :
        ( member(unordered_pair(X0,X1),X2)
        | universal_class = X2 )
    | ~ spl0_2 ),
    inference(resolution,[],[f397,f11]) ).

fof(f397,plain,
    ( ! [X0,X1] :
        ( ~ member(X0,universal_class)
        | member(X0,X1)
        | universal_class = X1 )
    | ~ spl0_2 ),
    inference(superposition,[],[f283,f216]) ).

fof(f216,plain,
    ( universal_class = null_class
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f214,plain,
    ( spl0_2
  <=> universal_class = null_class ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f283,plain,
    ! [X0,X1] :
      ( ~ member(X1,null_class)
      | member(X1,X0)
      | null_class = X0 ),
    inference(superposition,[],[f21,f67]) ).

fof(f67,axiom,
    ! [X0] :
      ( null_class = intersection(X0,regular(X0))
      | null_class = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity2) ).

fof(f21,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,intersection(X0,X1))
      | member(X4,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).

fof(f24,axiom,
    ! [X0,X4] :
      ( ~ member(X4,complement(X0))
      | ~ member(X4,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).

fof(f318,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f266,f214]) ).

fof(f266,plain,
    universal_class = null_class,
    inference(resolution,[],[f195,f113]) ).

fof(f113,axiom,
    subclass(universal_class,null_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_universal_class_not_subclass_of_null_class_1) ).

fof(f195,plain,
    ! [X0] :
      ( ~ subclass(universal_class,X0)
      | universal_class = X0 ),
    inference(resolution,[],[f7,f4]) ).

fof(f4,axiom,
    ! [X0] : subclass(X0,universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ subclass(X1,X0)
      | X0 = X1
      | ~ subclass(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SET507-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.12/0.14  % 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
% 0.14/0.35  % Computer : n009.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Mon May 20 12:15:38 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.36  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/benchmark/theBenchmark.p
% 0.56/0.74  % (4776)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 theBenchmark for (2996ds/83Mi)
% 0.56/0.74  % (4770)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 theBenchmark for (2996ds/34Mi)
% 0.56/0.74  % (4772)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.56/0.74  % (4771)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 theBenchmark for (2996ds/51Mi)
% 0.56/0.74  % (4774)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 theBenchmark for (2996ds/34Mi)
% 0.56/0.74  % (4773)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.56/0.74  % (4775)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.56/0.74  % (4776)Refutation not found, incomplete strategy% (4776)------------------------------
% 0.56/0.74  % (4776)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (4776)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (4776)Memory used [KB]: 1143
% 0.56/0.74  % (4776)Time elapsed: 0.003 s
% 0.56/0.74  % (4776)Instructions burned: 5 (million)
% 0.56/0.75  % (4776)------------------------------
% 0.56/0.75  % (4776)------------------------------
% 0.56/0.75  % (4773)Refutation not found, incomplete strategy% (4773)------------------------------
% 0.56/0.75  % (4773)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (4773)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  % (4775)Refutation not found, incomplete strategy% (4775)------------------------------
% 0.56/0.75  % (4775)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (4775)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (4775)Memory used [KB]: 1095
% 0.56/0.75  % (4775)Time elapsed: 0.003 s
% 0.56/0.75  % (4775)Instructions burned: 2 (million)
% 0.56/0.75  
% 0.56/0.75  % (4772)Refutation not found, incomplete strategy% (4772)------------------------------
% 0.56/0.75  % (4772)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (4772)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (4772)Memory used [KB]: 1108
% 0.56/0.75  % (4772)Time elapsed: 0.003 s
% 0.56/0.75  % (4772)Instructions burned: 2 (million)
% 0.56/0.75  % (4773)Memory used [KB]: 1095
% 0.56/0.75  % (4773)Time elapsed: 0.003 s
% 0.56/0.75  % (4773)Instructions burned: 2 (million)
% 0.56/0.75  % (4775)------------------------------
% 0.56/0.75  % (4775)------------------------------
% 0.56/0.75  % (4772)------------------------------
% 0.56/0.75  % (4772)------------------------------
% 0.56/0.75  % (4770)Refutation not found, incomplete strategy% (4770)------------------------------
% 0.56/0.75  % (4770)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (4770)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (4770)Memory used [KB]: 1105
% 0.56/0.75  % (4770)Time elapsed: 0.003 s
% 0.56/0.75  % (4770)Instructions burned: 3 (million)
% 0.56/0.75  % (4773)------------------------------
% 0.56/0.75  % (4773)------------------------------
% 0.56/0.75  % (4770)------------------------------
% 0.56/0.75  % (4770)------------------------------
% 0.56/0.75  % (4774)Refutation not found, incomplete strategy% (4774)------------------------------
% 0.56/0.75  % (4774)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (4774)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (4774)Memory used [KB]: 1145
% 0.56/0.75  % (4774)Time elapsed: 0.004 s
% 0.56/0.75  % (4774)Instructions burned: 6 (million)
% 0.56/0.75  % (4777)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.56/0.75  % (4774)------------------------------
% 0.56/0.75  % (4774)------------------------------
% 0.56/0.75  % (4777)Refutation not found, incomplete strategy% (4777)------------------------------
% 0.56/0.75  % (4777)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (4777)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (4777)Memory used [KB]: 1079
% 0.56/0.75  % (4777)Time elapsed: 0.001 s
% 0.56/0.75  % (4777)Instructions burned: 2 (million)
% 0.56/0.75  % (4778)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 theBenchmark for (2996ds/55Mi)
% 0.56/0.75  % (4777)------------------------------
% 0.56/0.75  % (4777)------------------------------
% 0.56/0.75  % (4778)Refutation not found, incomplete strategy% (4778)------------------------------
% 0.56/0.75  % (4778)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (4778)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (4778)Memory used [KB]: 1095
% 0.56/0.75  % (4778)Time elapsed: 0.002 s
% 0.56/0.75  % (4778)Instructions burned: 2 (million)
% 0.56/0.75  % (4778)------------------------------
% 0.56/0.75  % (4778)------------------------------
% 0.56/0.75  % (4779)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 theBenchmark for (2996ds/50Mi)
% 0.56/0.75  % (4780)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.56/0.75  % (4781)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 theBenchmark for (2996ds/52Mi)
% 0.56/0.75  % (4782)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 theBenchmark for (2996ds/518Mi)
% 0.56/0.75  % (4784)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 theBenchmark for (2996ds/243Mi)
% 0.56/0.75  % (4780)Refutation not found, incomplete strategy% (4780)------------------------------
% 0.56/0.75  % (4780)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (4780)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (4780)Memory used [KB]: 1107
% 0.56/0.75  % (4780)Time elapsed: 0.004 s
% 0.56/0.75  % (4780)Instructions burned: 3 (million)
% 0.56/0.75  % (4783)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 theBenchmark for (2996ds/42Mi)
% 0.56/0.75  % (4780)------------------------------
% 0.56/0.75  % (4780)------------------------------
% 0.56/0.75  % (4785)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2996ds/117Mi)
% 0.56/0.75  % (4783)Refutation not found, incomplete strategy% (4783)------------------------------
% 0.56/0.75  % (4783)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (4785)Refutation not found, incomplete strategy% (4785)------------------------------
% 0.56/0.75  % (4785)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (4785)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (4785)Memory used [KB]: 1100
% 0.56/0.75  % (4785)Time elapsed: 0.002 s
% 0.56/0.75  % (4785)Instructions burned: 2 (million)
% 0.56/0.75  % (4783)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.76  % (4783)Memory used [KB]: 1147
% 0.56/0.76  % (4783)Time elapsed: 0.004 s
% 0.56/0.76  % (4783)Instructions burned: 5 (million)
% 0.56/0.76  % (4785)------------------------------
% 0.56/0.76  % (4785)------------------------------
% 0.56/0.76  % (4783)------------------------------
% 0.56/0.76  % (4783)------------------------------
% 0.56/0.76  % (4771)First to succeed.
% 0.56/0.76  % (4771)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4769"
% 0.56/0.76  % (4786)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 theBenchmark for (2996ds/143Mi)
% 0.56/0.76  % (4771)Refutation found. Thanks to Tanya!
% 0.56/0.76  % SZS status Unsatisfiable for theBenchmark
% 0.56/0.76  % SZS output start Proof for theBenchmark
% See solution above
% 0.56/0.76  % (4771)------------------------------
% 0.56/0.76  % (4771)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (4771)Termination reason: Refutation
% 0.56/0.76  
% 0.56/0.76  % (4771)Memory used [KB]: 1294
% 0.56/0.76  % (4771)Time elapsed: 0.014 s
% 0.56/0.76  % (4771)Instructions burned: 20 (million)
% 0.56/0.76  % (4769)Success in time 0.387 s
% 0.56/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------