TSTP Solution File: SET002-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET002-1 : TPTP v8.2.0. Released v1.0.0.
% 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 : 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 : Tue May 21 03:07:33 EDT 2024

% Result   : Unsatisfiable 0.53s 0.73s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   30 (   8 unt;   0 def)
%            Number of atoms       :   59 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   49 (  20   ~;  26   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   4 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f66,plain,
    $false,
    inference(avatar_sat_refutation,[],[f50,f52,f56,f65]) ).

fof(f65,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f64,f29]) ).

fof(f29,plain,
    ( spl0_1
  <=> subset(aUa,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f64,plain,
    subset(aUa,a),
    inference(duplicate_literal_removal,[],[f62]) ).

fof(f62,plain,
    ( subset(aUa,a)
    | subset(aUa,a) ),
    inference(resolution,[],[f61,f3]) ).

fof(f3,axiom,
    ! [X2,X1] :
      ( ~ member(member_of_1_not_of_2(X1,X2),X2)
      | subset(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsets_axiom2) ).

fof(f61,plain,
    ! [X0] :
      ( member(member_of_1_not_of_2(aUa,X0),a)
      | subset(aUa,X0) ),
    inference(resolution,[],[f59,f2]) ).

fof(f2,axiom,
    ! [X2,X1] :
      ( member(member_of_1_not_of_2(X1,X2),X1)
      | subset(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsets_axiom1) ).

fof(f59,plain,
    ! [X0] :
      ( ~ member(X0,aUa)
      | member(X0,a) ),
    inference(duplicate_literal_removal,[],[f58]) ).

fof(f58,plain,
    ! [X0] :
      ( member(X0,a)
      | ~ member(X0,aUa)
      | member(X0,a) ),
    inference(resolution,[],[f7,f13]) ).

fof(f13,axiom,
    union(a,a,aUa),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_union_a_is_aUa) ).

fof(f7,axiom,
    ! [X3,X0,X4,X5] :
      ( ~ union(X3,X4,X5)
      | member(X0,X3)
      | ~ member(X0,X5)
      | member(X0,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_union_is_member_of_one_set) ).

fof(f56,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f53]) ).

fof(f53,plain,
    ( $false
    | ~ spl0_4 ),
    inference(resolution,[],[f49,f14]) ).

fof(f14,axiom,
    ~ equal_sets(aUa,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_equals_aUa) ).

fof(f49,plain,
    ( equal_sets(aUa,a)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f47]) ).

fof(f47,plain,
    ( spl0_4
  <=> equal_sets(aUa,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f52,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f51]) ).

fof(f51,plain,
    ( $false
    | spl0_3 ),
    inference(resolution,[],[f45,f25]) ).

fof(f25,plain,
    subset(a,aUa),
    inference(duplicate_literal_removal,[],[f24]) ).

fof(f24,plain,
    ( subset(a,aUa)
    | subset(a,aUa) ),
    inference(resolution,[],[f23,f3]) ).

fof(f23,plain,
    ! [X0] :
      ( member(member_of_1_not_of_2(a,X0),aUa)
      | subset(a,X0) ),
    inference(resolution,[],[f22,f2]) ).

fof(f22,plain,
    ! [X0] :
      ( ~ member(X0,a)
      | member(X0,aUa) ),
    inference(resolution,[],[f8,f13]) ).

fof(f8,axiom,
    ! [X3,X0,X4,X5] :
      ( ~ union(X3,X4,X5)
      | ~ member(X0,X3)
      | member(X0,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_set1_is_member_of_union) ).

fof(f45,plain,
    ( ~ subset(a,aUa)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f43]) ).

fof(f43,plain,
    ( spl0_3
  <=> subset(a,aUa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f50,plain,
    ( ~ spl0_3
    | spl0_4
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f41,f29,f47,f43]) ).

fof(f41,plain,
    ( equal_sets(aUa,a)
    | ~ subset(a,aUa)
    | ~ spl0_1 ),
    inference(resolution,[],[f30,f6]) ).

fof(f6,axiom,
    ! [X3,X4] :
      ( ~ subset(X4,X3)
      | equal_sets(X4,X3)
      | ~ subset(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsets_are_set_equal_sets) ).

fof(f30,plain,
    ( subset(aUa,a)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f29]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET002-1 : TPTP v8.2.0. Released v1.0.0.
% 0.07/0.14  % 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
% 0.13/0.34  % Computer : n012.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon May 20 13:33:08 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.13/0.35  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/benchmark/theBenchmark.p
% 0.53/0.72  % (8133)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)
% 0.53/0.72  % (8133)Refutation not found, incomplete strategy% (8133)------------------------------
% 0.53/0.72  % (8133)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.72  % (8133)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.72  
% 0.53/0.72  % (8133)Memory used [KB]: 1002
% 0.53/0.72  % (8133)Time elapsed: 0.002 s
% 0.53/0.72  % (8133)Instructions burned: 2 (million)
% 0.53/0.72  % (8127)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)
% 0.53/0.72  % (8133)------------------------------
% 0.53/0.72  % (8133)------------------------------
% 0.53/0.72  % (8130)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)
% 0.53/0.72  % (8131)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)
% 0.53/0.72  % (8128)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)
% 0.53/0.72  % (8129)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.53/0.72  % (8132)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)
% 0.53/0.72  % (8132)Refutation not found, incomplete strategy% (8132)------------------------------
% 0.53/0.72  % (8132)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.72  % (8130)Refutation not found, incomplete strategy% (8130)------------------------------
% 0.53/0.72  % (8130)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.72  % (8130)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.72  
% 0.53/0.72  % (8130)Memory used [KB]: 997
% 0.53/0.72  % (8130)Time elapsed: 0.002 s
% 0.53/0.72  % (8130)Instructions burned: 2 (million)
% 0.53/0.72  % (8132)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.72  
% 0.53/0.72  % (8132)Memory used [KB]: 999
% 0.53/0.72  % (8132)Time elapsed: 0.002 s
% 0.53/0.72  % (8132)Instructions burned: 2 (million)
% 0.53/0.72  % (8130)------------------------------
% 0.53/0.72  % (8130)------------------------------
% 0.53/0.72  % (8132)------------------------------
% 0.53/0.72  % (8132)------------------------------
% 0.53/0.72  % (8128)First to succeed.
% 0.53/0.72  % (8131)Also succeeded, but the first one will report.
% 0.53/0.72  % (8127)Refutation not found, incomplete strategy% (8127)------------------------------
% 0.53/0.72  % (8127)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.72  % (8134)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)
% 0.53/0.72  % (8127)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.72  % (8128)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8126"
% 0.53/0.72  
% 0.53/0.72  % (8127)Memory used [KB]: 1021
% 0.53/0.72  % (8127)Time elapsed: 0.004 s
% 0.53/0.72  % (8127)Instructions burned: 4 (million)
% 0.53/0.73  % (8127)------------------------------
% 0.53/0.73  % (8127)------------------------------
% 0.53/0.73  % (8134)Refutation not found, incomplete strategy% (8134)------------------------------
% 0.53/0.73  % (8134)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.73  % (8134)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.73  
% 0.53/0.73  % (8134)Memory used [KB]: 999
% 0.53/0.73  % (8134)Time elapsed: 0.001 s
% 0.53/0.73  % (8134)Instructions burned: 2 (million)
% 0.53/0.73  % (8129)Also succeeded, but the first one will report.
% 0.53/0.73  % (8134)------------------------------
% 0.53/0.73  % (8134)------------------------------
% 0.53/0.73  % (8128)Refutation found. Thanks to Tanya!
% 0.53/0.73  % SZS status Unsatisfiable for theBenchmark
% 0.53/0.73  % SZS output start Proof for theBenchmark
% See solution above
% 0.53/0.73  % (8128)------------------------------
% 0.53/0.73  % (8128)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.73  % (8128)Termination reason: Refutation
% 0.53/0.73  
% 0.53/0.73  % (8128)Memory used [KB]: 1029
% 0.53/0.73  % (8128)Time elapsed: 0.004 s
% 0.53/0.73  % (8128)Instructions burned: 3 (million)
% 0.53/0.73  % (8126)Success in time 0.37 s
% 0.53/0.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------