TSTP Solution File: SET095+4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET095+4 : 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 : n031.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 03:44:59 EDT 2024

% Result   : Theorem 0.57s 0.74s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   19 (   7 unt;   0 def)
%            Number of atoms       :   34 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   24 (   9   ~;   4   |;   2   &)
%                                         (   3 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   27 (  24   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f34,plain,
    $false,
    inference(subsumption_resolution,[],[f31,f19]) ).

fof(f19,plain,
    member(sK1,sK0),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,plain,
    ? [X0,X1] :
      ( ~ subset(singleton(X1),X0)
      & member(X1,X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,plain,
    ~ ! [X0,X1] :
        ( member(X1,X0)
       => subset(singleton(X1),X0) ),
    inference(rectify,[],[f13]) ).

fof(f13,negated_conjecture,
    ~ ! [X0,X2] :
        ( member(X2,X0)
       => subset(singleton(X2),X0) ),
    inference(negated_conjecture,[],[f12]) ).

fof(f12,conjecture,
    ! [X0,X2] :
      ( member(X2,X0)
     => subset(singleton(X2),X0) ),
    file('/export/starexec/sandbox/tmp/tmp.3N53C8lMb4/Vampire---4.8_403',thI44) ).

fof(f31,plain,
    ~ member(sK1,sK0),
    inference(superposition,[],[f27,f28]) ).

fof(f28,plain,
    sK1 = sK2(singleton(sK1),sK0),
    inference(unit_resulting_resolution,[],[f26,f24]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ~ member(X0,singleton(X1))
      | X0 = X1 ),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( member(X0,singleton(X1))
    <=> X0 = X1 ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X2,X0] :
      ( member(X2,singleton(X0))
    <=> X0 = X2 ),
    file('/export/starexec/sandbox/tmp/tmp.3N53C8lMb4/Vampire---4.8_403',singleton) ).

fof(f26,plain,
    member(sK2(singleton(sK1),sK0),singleton(sK1)),
    inference(unit_resulting_resolution,[],[f20,f21]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( member(sK2(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | ? [X2] :
          ( ~ member(X2,X1)
          & member(X2,X0) ) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) )
     => subset(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.3N53C8lMb4/Vampire---4.8_403',subset) ).

fof(f20,plain,
    ~ subset(singleton(sK1),sK0),
    inference(cnf_transformation,[],[f17]) ).

fof(f27,plain,
    ~ member(sK2(singleton(sK1),sK0),sK0),
    inference(unit_resulting_resolution,[],[f20,f22]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ~ member(sK2(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SET095+4 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.15  % 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
% 0.15/0.36  % Computer : n031.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 17:52:44 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  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/tmp/tmp.3N53C8lMb4/Vampire---4.8_403
% 0.57/0.74  % (708)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)
% 0.57/0.74  % (702)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)
% 0.57/0.74  % (708)First to succeed.
% 0.57/0.74  % (705)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)
% 0.57/0.74  % (704)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74  % (707)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)
% 0.57/0.74  % (708)Refutation found. Thanks to Tanya!
% 0.57/0.74  % SZS status Theorem for Vampire---4
% 0.57/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.75  % (708)------------------------------
% 0.57/0.75  % (708)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (708)Termination reason: Refutation
% 0.57/0.75  
% 0.57/0.75  % (708)Memory used [KB]: 971
% 0.57/0.75  % (708)Time elapsed: 0.002 s
% 0.57/0.75  % (708)Instructions burned: 3 (million)
% 0.57/0.75  % (708)------------------------------
% 0.57/0.75  % (708)------------------------------
% 0.57/0.75  % (698)Success in time 0.379 s
% 0.57/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------