TSTP Solution File: SET009+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET009+3 : TPTP v8.1.2. Released v2.2.0.
% 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 : n002.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 03:44:01 EDT 2024

% Result   : Theorem 0.55s 0.75s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   21 (   9 unt;   0 def)
%            Number of atoms       :   38 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   32 (  15   ~;   9   |;   2   &)
%                                         (   3 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   34 (  31   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f71,plain,
    $false,
    inference(subsumption_resolution,[],[f63,f33]) ).

fof(f33,plain,
    ~ member(sK3(difference(sK2,sK1),difference(sK2,sK0)),sK0),
    inference(unit_resulting_resolution,[],[f8,f24,f14]) ).

fof(f14,plain,
    ! [X2,X0,X1] :
      ( ~ subset(X0,X1)
      | member(X2,X1)
      | ~ member(X2,X0) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X1)
          | ~ member(X2,X0) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.vpsxiw7pWH/Vampire---4.8_28349',subset_defn) ).

fof(f24,plain,
    ~ member(sK3(difference(sK2,sK1),difference(sK2,sK0)),sK1),
    inference(unit_resulting_resolution,[],[f19,f11]) ).

fof(f11,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,difference(X0,X1))
      | ~ member(X2,X1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1,X2] :
      ( member(X2,difference(X0,X1))
    <=> ( ~ member(X2,X1)
        & member(X2,X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.vpsxiw7pWH/Vampire---4.8_28349',difference_defn) ).

fof(f19,plain,
    member(sK3(difference(sK2,sK1),difference(sK2,sK0)),difference(sK2,sK1)),
    inference(unit_resulting_resolution,[],[f9,f15]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( member(sK3(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f9,plain,
    ~ subset(difference(sK2,sK1),difference(sK2,sK0)),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ? [X0,X1,X2] :
      ( ~ subset(difference(X2,X1),difference(X2,X0))
      & subset(X0,X1) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( subset(X0,X1)
       => subset(difference(X2,X1),difference(X2,X0)) ),
    inference(negated_conjecture,[],[f4]) ).

fof(f4,conjecture,
    ! [X0,X1,X2] :
      ( subset(X0,X1)
     => subset(difference(X2,X1),difference(X2,X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.vpsxiw7pWH/Vampire---4.8_28349',prove_subset_difference) ).

fof(f8,plain,
    subset(sK0,sK1),
    inference(cnf_transformation,[],[f6]) ).

fof(f63,plain,
    member(sK3(difference(sK2,sK1),difference(sK2,sK0)),sK0),
    inference(unit_resulting_resolution,[],[f23,f20,f12]) ).

fof(f12,plain,
    ! [X2,X0,X1] :
      ( member(X2,difference(X0,X1))
      | member(X2,X1)
      | ~ member(X2,X0) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f20,plain,
    ~ member(sK3(difference(sK2,sK1),difference(sK2,sK0)),difference(sK2,sK0)),
    inference(unit_resulting_resolution,[],[f9,f16]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( ~ member(sK3(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f23,plain,
    member(sK3(difference(sK2,sK1),difference(sK2,sK0)),sK2),
    inference(unit_resulting_resolution,[],[f19,f10]) ).

fof(f10,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,difference(X0,X1))
      | member(X2,X0) ),
    inference(cnf_transformation,[],[f1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SET009+3 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.15  % 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
% 0.16/0.36  % Computer : n002.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 17:39:25 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a FOF_THM_RFO_NEQ problem
% 0.16/0.37  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.vpsxiw7pWH/Vampire---4.8_28349
% 0.55/0.75  % (28615)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)
% 0.55/0.75  % (28609)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)
% 0.55/0.75  % (28611)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75  % (28612)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)
% 0.55/0.75  % (28610)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)
% 0.55/0.75  % (28613)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)
% 0.55/0.75  % (28614)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)
% 0.55/0.75  % (28615)First to succeed.
% 0.55/0.75  % (28612)Refutation not found, incomplete strategy% (28612)------------------------------
% 0.55/0.75  % (28612)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (28612)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (28612)Memory used [KB]: 962
% 0.55/0.75  % (28612)Time elapsed: 0.002 s
% 0.55/0.75  % (28612)Instructions burned: 2 (million)
% 0.55/0.75  % (28612)------------------------------
% 0.55/0.75  % (28612)------------------------------
% 0.55/0.75  % (28614)Refutation not found, incomplete strategy% (28614)------------------------------
% 0.55/0.75  % (28614)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (28614)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (28614)Memory used [KB]: 952
% 0.55/0.75  % (28614)Time elapsed: 0.002 s
% 0.55/0.75  % (28614)Instructions burned: 2 (million)
% 0.55/0.75  % (28614)------------------------------
% 0.55/0.75  % (28614)------------------------------
% 0.55/0.75  % (28615)Refutation found. Thanks to Tanya!
% 0.55/0.75  % SZS status Theorem for Vampire---4
% 0.55/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75  % (28615)------------------------------
% 0.55/0.75  % (28615)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (28615)Termination reason: Refutation
% 0.55/0.75  
% 0.55/0.75  % (28615)Memory used [KB]: 978
% 0.55/0.75  % (28615)Time elapsed: 0.003 s
% 0.55/0.75  % (28615)Instructions burned: 4 (million)
% 0.55/0.75  % (28615)------------------------------
% 0.55/0.75  % (28615)------------------------------
% 0.55/0.76  % (28605)Success in time 0.381 s
% 0.55/0.76  terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.55/0.76  28605 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.vpsxiw7pWH/Vampire---4.8_28349
% 0.55/0.76  % (28605)------------------------------
% 0.55/0.76  % (28605)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  % (28605)Termination reason: Unknown
% 0.55/0.76  % (28605)Termination phase: Unknown
% 0.55/0.76  
% 0.55/0.76  % (28605)Memory used [KB]: 438
% 0.55/0.76  % (28605)Time elapsed: 0.381 s
% 0.55/0.76  % (28605)Instructions burned: 952 (million)
% 0.55/0.76  % (28605)------------------------------
% 0.55/0.76  % (28605)------------------------------
% 0.55/0.76  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  ???
% 0.55/0.76   ???
% 0.55/0.76    ???
% 0.55/0.76     ???
% 0.55/0.76      ???
% 0.55/0.76       ???
% 0.55/0.76        ???
% 0.55/0.76         ???
% 0.55/0.76          ???
% 0.55/0.76           ???
% 0.55/0.76            ???
% 0.55/0.76             ???
% 0.55/0.76              ???
% 0.55/0.76               ???
% 0.55/0.76                ???
% 0.55/0.76                 ???
% 0.55/0.76                  ???
% 0.55/0.76                   ???
% 0.55/0.76                    ???
% 0.55/0.76                     ???
% 0.55/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------