TSTP Solution File: SEU139+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU139+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n022.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 09:20:26 EDT 2024

% Result   : Theorem 0.60s 0.81s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   22 (   9 unt;   0 def)
%            Number of atoms       :   47 (   8 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   45 (  20   ~;  11   |;  11   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   26 (  22   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f40,plain,
    $false,
    inference(subsumption_resolution,[],[f39,f20]) ).

fof(f20,plain,
    ! [X0] : ~ proper_subset(X0,X0),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,plain,
    ! [X0] : ~ proper_subset(X0,X0),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] : ~ proper_subset(X0,X0),
    file('/export/starexec/sandbox/tmp/tmp.3gXqp3iR6c/Vampire---4.8_30256',irreflexivity_r2_xboole_0) ).

fof(f39,plain,
    proper_subset(sK0,sK0),
    inference(backward_demodulation,[],[f19,f36]) ).

fof(f36,plain,
    sK0 = sK1,
    inference(subsumption_resolution,[],[f33,f32]) ).

fof(f32,plain,
    ~ proper_subset(sK0,sK1),
    inference(resolution,[],[f24,f19]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ~ proper_subset(X1,X0)
      | ~ proper_subset(X0,X1) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( ~ proper_subset(X1,X0)
      | ~ proper_subset(X0,X1) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( proper_subset(X0,X1)
     => ~ proper_subset(X1,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.3gXqp3iR6c/Vampire---4.8_30256',antisymmetry_r2_xboole_0) ).

fof(f33,plain,
    ( sK0 = sK1
    | proper_subset(sK0,sK1) ),
    inference(resolution,[],[f23,f18]) ).

fof(f18,plain,
    subset(sK0,sK1),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,plain,
    ( proper_subset(sK1,sK0)
    & subset(sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f10,f12]) ).

fof(f12,plain,
    ( ? [X0,X1] :
        ( proper_subset(X1,X0)
        & subset(X0,X1) )
   => ( proper_subset(sK1,sK0)
      & subset(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f10,plain,
    ? [X0,X1] :
      ( proper_subset(X1,X0)
      & subset(X0,X1) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,negated_conjecture,
    ~ ! [X0,X1] :
        ~ ( proper_subset(X1,X0)
          & subset(X0,X1) ),
    inference(negated_conjecture,[],[f6]) ).

fof(f6,conjecture,
    ! [X0,X1] :
      ~ ( proper_subset(X1,X0)
        & subset(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.3gXqp3iR6c/Vampire---4.8_30256',t60_xboole_1) ).

fof(f23,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | X0 = X1
      | proper_subset(X0,X1) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( ( proper_subset(X0,X1)
        | X0 = X1
        | ~ subset(X0,X1) )
      & ( ( X0 != X1
          & subset(X0,X1) )
        | ~ proper_subset(X0,X1) ) ),
    inference(flattening,[],[f14]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( ( proper_subset(X0,X1)
        | X0 = X1
        | ~ subset(X0,X1) )
      & ( ( X0 != X1
          & subset(X0,X1) )
        | ~ proper_subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( proper_subset(X0,X1)
    <=> ( X0 != X1
        & subset(X0,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.3gXqp3iR6c/Vampire---4.8_30256',d8_xboole_0) ).

fof(f19,plain,
    proper_subset(sK1,sK0),
    inference(cnf_transformation,[],[f13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SEU139+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.12  % 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
% 0.12/0.33  % Computer : n022.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Fri May  3 11:16:42 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  This is a FOF_THM_EPR_SEQ problem
% 0.12/0.33  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.3gXqp3iR6c/Vampire---4.8_30256
% 0.60/0.81  % (30379)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)
% 0.60/0.81  % (30376)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.81  % (30378)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)
% 0.60/0.81  % (30374)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)
% 0.60/0.81  % (30380)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)
% 0.60/0.81  % (30375)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)
% 0.60/0.81  % (30377)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)
% 0.60/0.81  % (30379)Refutation not found, incomplete strategy% (30379)------------------------------
% 0.60/0.81  % (30379)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (30379)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (30379)Memory used [KB]: 962
% 0.60/0.81  % (30379)Time elapsed: 0.002 s
% 0.60/0.81  % (30380)Refutation not found, incomplete strategy% (30380)------------------------------
% 0.60/0.81  % (30380)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (30379)Instructions burned: 2 (million)
% 0.60/0.81  % (30378)Refutation not found, incomplete strategy% (30378)------------------------------
% 0.60/0.81  % (30378)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (30378)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (30378)Memory used [KB]: 965
% 0.60/0.81  % (30378)Time elapsed: 0.002 s
% 0.60/0.81  % (30378)Instructions burned: 2 (million)
% 0.60/0.81  % (30380)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (30380)Memory used [KB]: 961
% 0.60/0.81  % (30380)Time elapsed: 0.002 s
% 0.60/0.81  % (30380)Instructions burned: 2 (million)
% 0.60/0.81  % (30374)Refutation not found, incomplete strategy% (30374)------------------------------
% 0.60/0.81  % (30374)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (30381)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)
% 0.60/0.81  % (30374)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (30374)Memory used [KB]: 965
% 0.60/0.81  % (30374)Time elapsed: 0.003 s
% 0.60/0.81  % (30374)Instructions burned: 2 (million)
% 0.60/0.81  % (30379)------------------------------
% 0.60/0.81  % (30379)------------------------------
% 0.60/0.81  % (30378)------------------------------
% 0.60/0.81  % (30378)------------------------------
% 0.60/0.81  % (30376)First to succeed.
% 0.60/0.81  % (30380)------------------------------
% 0.60/0.81  % (30380)------------------------------
% 0.60/0.81  % (30375)Also succeeded, but the first one will report.
% 0.60/0.81  % (30377)Refutation not found, incomplete strategy% (30377)------------------------------
% 0.60/0.81  % (30377)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (30377)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  % (30374)------------------------------
% 0.60/0.81  % (30374)------------------------------
% 0.60/0.81  
% 0.60/0.81  % (30377)Memory used [KB]: 962
% 0.60/0.81  % (30377)Time elapsed: 0.002 s
% 0.60/0.81  % (30377)Instructions burned: 2 (million)
% 0.60/0.81  % (30377)------------------------------
% 0.60/0.81  % (30377)------------------------------
% 0.60/0.81  % (30381)Refutation not found, incomplete strategy% (30381)------------------------------
% 0.60/0.81  % (30381)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (30381)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81  
% 0.60/0.81  % (30381)Memory used [KB]: 962
% 0.60/0.81  % (30381)Time elapsed: 0.002 s
% 0.60/0.81  % (30381)Instructions burned: 2 (million)
% 0.60/0.81  % (30376)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30368"
% 0.60/0.81  % (30381)------------------------------
% 0.60/0.81  % (30381)------------------------------
% 0.60/0.81  % (30376)Refutation found. Thanks to Tanya!
% 0.60/0.81  % SZS status Theorem for Vampire---4
% 0.60/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.81  % (30376)------------------------------
% 0.60/0.81  % (30376)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (30376)Termination reason: Refutation
% 0.60/0.81  
% 0.60/0.81  % (30376)Memory used [KB]: 981
% 0.60/0.81  % (30376)Time elapsed: 0.003 s
% 0.60/0.81  % (30376)Instructions burned: 3 (million)
% 0.60/0.81  % (30368)Success in time 0.478 s
% 0.60/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------