TSTP Solution File: SET019-3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET019-3 : TPTP v8.1.2. 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 : n025.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 09:02:55 EDT 2024

% Result   : Unsatisfiable 0.56s 0.74s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   29 (   5 unt;   0 def)
%            Number of atoms       :   62 (   4 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   59 (  26   ~;  30   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f420,plain,
    $false,
    inference(avatar_sat_refutation,[],[f220,f221,f347,f419]) ).

fof(f419,plain,
    ( ~ spl1_1
    | spl1_2 ),
    inference(avatar_contradiction_clause,[],[f418]) ).

fof(f418,plain,
    ( $false
    | ~ spl1_1
    | spl1_2 ),
    inference(subsumption_resolution,[],[f386,f215]) ).

fof(f215,plain,
    ( member(f1(b,a),b)
    | ~ spl1_1 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f213,plain,
    ( spl1_1
  <=> member(f1(b,a),b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f386,plain,
    ( ~ member(f1(b,a),b)
    | spl1_2 ),
    inference(resolution,[],[f237,f218]) ).

fof(f218,plain,
    ( ~ member(f1(b,a),a)
    | spl1_2 ),
    inference(avatar_component_clause,[],[f217]) ).

fof(f217,plain,
    ( spl1_2
  <=> member(f1(b,a),a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f237,plain,
    ! [X0] :
      ( member(X0,a)
      | ~ member(X0,b) ),
    inference(resolution,[],[f145,f67]) ).

fof(f67,axiom,
    ! [X2,X0,X1] :
      ( member(X2,X1)
      | ~ member(X2,X0)
      | ~ subset(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.gO2Ojr8V23/Vampire---4.8_2131',subset1) ).

fof(f145,axiom,
    subset(b,a),
    file('/export/starexec/sandbox2/tmp/tmp.gO2Ojr8V23/Vampire---4.8_2131',a_contains_b) ).

fof(f347,plain,
    ( spl1_1
    | ~ spl1_2 ),
    inference(avatar_contradiction_clause,[],[f346]) ).

fof(f346,plain,
    ( $false
    | spl1_1
    | ~ spl1_2 ),
    inference(subsumption_resolution,[],[f321,f146]) ).

fof(f146,axiom,
    subset(a,b),
    file('/export/starexec/sandbox2/tmp/tmp.gO2Ojr8V23/Vampire---4.8_2131',b_contains_a) ).

fof(f321,plain,
    ( ~ subset(a,b)
    | spl1_1
    | ~ spl1_2 ),
    inference(resolution,[],[f288,f219]) ).

fof(f219,plain,
    ( member(f1(b,a),a)
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f217]) ).

fof(f288,plain,
    ( ! [X0] :
        ( ~ member(f1(b,a),X0)
        | ~ subset(X0,b) )
    | spl1_1 ),
    inference(resolution,[],[f214,f67]) ).

fof(f214,plain,
    ( ~ member(f1(b,a),b)
    | spl1_1 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f221,plain,
    ( ~ spl1_1
    | ~ spl1_2 ),
    inference(avatar_split_clause,[],[f203,f217,f213]) ).

fof(f203,plain,
    ( ~ member(f1(b,a),a)
    | ~ member(f1(b,a),b) ),
    inference(resolution,[],[f198,f165]) ).

fof(f165,plain,
    ! [X0,X1] :
      ( sQ0_eqProxy(X0,X1)
      | ~ member(f1(X0,X1),X1)
      | ~ member(f1(X0,X1),X0) ),
    inference(equality_proxy_replacement,[],[f4,f162]) ).

fof(f162,plain,
    ! [X0,X1] :
      ( sQ0_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( X0 = X1
      | ~ member(f1(X0,X1),X1)
      | ~ member(f1(X0,X1),X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.gO2Ojr8V23/Vampire---4.8_2131',extensionality3) ).

fof(f198,plain,
    ~ sQ0_eqProxy(b,a),
    inference(equality_proxy_replacement,[],[f147,f162]) ).

fof(f147,axiom,
    b != a,
    file('/export/starexec/sandbox2/tmp/tmp.gO2Ojr8V23/Vampire---4.8_2131',prove__a_equals_b) ).

fof(f220,plain,
    ( spl1_1
    | spl1_2 ),
    inference(avatar_split_clause,[],[f202,f217,f213]) ).

fof(f202,plain,
    ( member(f1(b,a),a)
    | member(f1(b,a),b) ),
    inference(resolution,[],[f198,f164]) ).

fof(f164,plain,
    ! [X0,X1] :
      ( sQ0_eqProxy(X0,X1)
      | member(f1(X0,X1),X1)
      | member(f1(X0,X1),X0) ),
    inference(equality_proxy_replacement,[],[f3,f162]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( X0 = X1
      | member(f1(X0,X1),X1)
      | member(f1(X0,X1),X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.gO2Ojr8V23/Vampire---4.8_2131',extensionality2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12  % Problem    : SET019-3 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13  % 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 : n025.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
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 16:53:38 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.19/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.19/0.35  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/tmp/tmp.gO2Ojr8V23/Vampire---4.8_2131
% 0.56/0.73  % (2241)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)
% 0.56/0.73  % (2243)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.73  % (2242)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)
% 0.56/0.73  % (2244)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)
% 0.56/0.73  % (2245)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)
% 0.56/0.73  % (2246)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)
% 0.56/0.73  % (2247)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)
% 0.56/0.74  % (2241)Refutation not found, incomplete strategy% (2241)------------------------------
% 0.56/0.74  % (2241)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (2241)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (2241)Memory used [KB]: 1149
% 0.56/0.74  % (2241)Time elapsed: 0.002 s
% 0.56/0.74  % (2241)Instructions burned: 2 (million)
% 0.56/0.74  % (2244)Refutation not found, incomplete strategy% (2244)------------------------------
% 0.56/0.74  % (2244)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (2241)------------------------------
% 0.56/0.74  % (2241)------------------------------
% 0.56/0.74  % (2243)Refutation not found, incomplete strategy% (2243)------------------------------
% 0.56/0.74  % (2243)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (2243)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (2243)Memory used [KB]: 1134
% 0.56/0.74  % (2243)Time elapsed: 0.002 s
% 0.56/0.74  % (2243)Instructions burned: 2 (million)
% 0.56/0.74  % (2244)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (2246)Refutation not found, incomplete strategy% (2246)------------------------------
% 0.56/0.74  % (2246)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (2244)Memory used [KB]: 1134
% 0.56/0.74  % (2244)Time elapsed: 0.002 s
% 0.56/0.74  % (2244)Instructions burned: 2 (million)
% 0.56/0.74  % (2246)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (2246)Memory used [KB]: 1135
% 0.56/0.74  % (2246)Time elapsed: 0.002 s
% 0.56/0.74  % (2246)Instructions burned: 2 (million)
% 0.56/0.74  % (2243)------------------------------
% 0.56/0.74  % (2243)------------------------------
% 0.56/0.74  % (2244)------------------------------
% 0.56/0.74  % (2244)------------------------------
% 0.56/0.74  % (2246)------------------------------
% 0.56/0.74  % (2246)------------------------------
% 0.56/0.74  % (2247)Refutation not found, incomplete strategy% (2247)------------------------------
% 0.56/0.74  % (2247)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (2247)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (2247)Memory used [KB]: 1135
% 0.56/0.74  % (2247)Time elapsed: 0.003 s
% 0.56/0.74  % (2247)Instructions burned: 3 (million)
% 0.56/0.74  % (2247)------------------------------
% 0.56/0.74  % (2247)------------------------------
% 0.56/0.74  % (2249)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)
% 0.56/0.74  % (2250)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)
% 0.56/0.74  % (2252)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)
% 0.56/0.74  % (2249)Refutation not found, incomplete strategy% (2249)------------------------------
% 0.56/0.74  % (2249)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (2249)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (2249)Memory used [KB]: 1151
% 0.56/0.74  % (2249)Time elapsed: 0.002 s
% 0.56/0.74  % (2249)Instructions burned: 3 (million)
% 0.56/0.74  % (2248)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)
% 0.56/0.74  % (2249)------------------------------
% 0.56/0.74  % (2249)------------------------------
% 0.56/0.74  % (2245)First to succeed.
% 0.56/0.74  % (2248)Refutation not found, incomplete strategy% (2248)------------------------------
% 0.56/0.74  % (2248)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (2248)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (2248)Memory used [KB]: 1135
% 0.56/0.74  % (2248)Time elapsed: 0.002 s
% 0.56/0.74  % (2248)Instructions burned: 2 (million)
% 0.56/0.74  % (2248)------------------------------
% 0.56/0.74  % (2248)------------------------------
% 0.56/0.74  % (2245)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2240"
% 0.56/0.74  % (2253)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)
% 0.56/0.74  % (2245)Refutation found. Thanks to Tanya!
% 0.56/0.74  % SZS status Unsatisfiable for Vampire---4
% 0.56/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.74  % (2245)------------------------------
% 0.56/0.74  % (2245)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (2245)Termination reason: Refutation
% 0.56/0.74  
% 0.56/0.74  % (2245)Memory used [KB]: 1204
% 0.56/0.74  % (2245)Time elapsed: 0.007 s
% 0.56/0.74  % (2245)Instructions burned: 11 (million)
% 0.56/0.74  % (2240)Success in time 0.387 s
% 0.56/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------