TSTP Solution File: SET884+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET884+1 : TPTP v8.1.2. Released v3.2.0.
% 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 : n017.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 03:49:23 EDT 2024

% Result   : Theorem 0.54s 0.75s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   25 (  11 unt;   0 def)
%            Number of atoms       :   52 (  21 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   52 (  25   ~;  13   |;   6   &)
%                                         (   5 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   48 (  45   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f77,plain,
    $false,
    inference(subsumption_resolution,[],[f76,f65]) ).

fof(f65,plain,
    in(sK0,unordered_pair(sK1,sK2)),
    inference(unit_resulting_resolution,[],[f40,f16,f32]) ).

fof(f32,plain,
    ! [X2,X0,X1] :
      ( ~ in(X2,X0)
      | ~ subset(X0,X1)
      | in(X2,X1) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( in(X2,X1)
          | ~ in(X2,X0) )
      | ~ subset(X0,X1) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
     => ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    inference(unused_predicate_definition_removal,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.8X4IZWQOxy/Vampire---4.8_16974',d3_tarski) ).

fof(f16,plain,
    subset(singleton(sK0),unordered_pair(sK1,sK2)),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,plain,
    ? [X0,X1,X2] :
      ( X0 != X2
      & X0 != X1
      & subset(singleton(X0),unordered_pair(X1,X2)) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ~ ( X0 != X2
          & X0 != X1
          & subset(singleton(X0),unordered_pair(X1,X2)) ),
    inference(negated_conjecture,[],[f9]) ).

fof(f9,conjecture,
    ! [X0,X1,X2] :
      ~ ( X0 != X2
        & X0 != X1
        & subset(singleton(X0),unordered_pair(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.8X4IZWQOxy/Vampire---4.8_16974',t25_zfmisc_1) ).

fof(f40,plain,
    ! [X2] : in(X2,singleton(X2)),
    inference(equality_resolution,[],[f39]) ).

fof(f39,plain,
    ! [X2,X1] :
      ( in(X2,X1)
      | singleton(X2) != X1 ),
    inference(equality_resolution,[],[f27]) ).

fof(f27,plain,
    ! [X2,X0,X1] :
      ( X0 != X2
      | in(X2,X1)
      | singleton(X0) != X1 ),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( singleton(X0) = X1
    <=> ! [X2] :
          ( in(X2,X1)
        <=> X0 = X2 ) ),
    file('/export/starexec/sandbox/tmp/tmp.8X4IZWQOxy/Vampire---4.8_16974',d1_tarski) ).

fof(f76,plain,
    ~ in(sK0,unordered_pair(sK1,sK2)),
    inference(forward_demodulation,[],[f75,f26]) ).

fof(f26,plain,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    file('/export/starexec/sandbox/tmp/tmp.8X4IZWQOxy/Vampire---4.8_16974',commutativity_k2_tarski) ).

fof(f75,plain,
    ~ in(sK0,unordered_pair(sK2,sK1)),
    inference(unit_resulting_resolution,[],[f57,f34]) ).

fof(f34,plain,
    ! [X3,X0,X1] :
      ( ~ in(X3,unordered_pair(X0,X1))
      | sP4(X3,X1,X0) ),
    inference(equality_resolution,[],[f23]) ).

fof(f23,plain,
    ! [X2,X3,X0,X1] :
      ( sP4(X3,X1,X0)
      | ~ in(X3,X2)
      | unordered_pair(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1,X2] :
      ( unordered_pair(X0,X1) = X2
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( X1 = X3
            | X0 = X3 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.8X4IZWQOxy/Vampire---4.8_16974',d2_tarski) ).

fof(f57,plain,
    ~ sP4(sK0,sK1,sK2),
    inference(unit_resulting_resolution,[],[f17,f18,f21]) ).

fof(f21,plain,
    ! [X3,X0,X1] :
      ( ~ sP4(X3,X1,X0)
      | X1 = X3
      | X0 = X3 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f18,plain,
    sK0 != sK2,
    inference(cnf_transformation,[],[f13]) ).

fof(f17,plain,
    sK0 != sK1,
    inference(cnf_transformation,[],[f13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SET884+1 : TPTP v8.1.2. Released v3.2.0.
% 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
% 0.16/0.36  % Computer : n017.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 16:51:49 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.36  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.8X4IZWQOxy/Vampire---4.8_16974
% 0.54/0.75  % (17233)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)
% 0.54/0.75  % (17227)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)
% 0.54/0.75  % (17228)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)
% 0.54/0.75  % (17231)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)
% 0.54/0.75  % (17232)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)
% 0.54/0.75  % (17233)First to succeed.
% 0.54/0.75  % (17229)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.75  % (17234)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)
% 0.54/0.75  % (17231)Refutation not found, incomplete strategy% (17231)------------------------------
% 0.54/0.75  % (17231)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75  % (17231)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (17231)Memory used [KB]: 1043
% 0.54/0.75  % (17231)Time elapsed: 0.003 s
% 0.54/0.75  % (17231)Instructions burned: 3 (million)
% 0.54/0.75  % (17231)------------------------------
% 0.54/0.75  % (17231)------------------------------
% 0.54/0.75  % (17232)Also succeeded, but the first one will report.
% 0.54/0.75  % (17230)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)
% 0.54/0.75  % (17233)Refutation found. Thanks to Tanya!
% 0.54/0.75  % SZS status Theorem for Vampire---4
% 0.54/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.75  % (17233)------------------------------
% 0.54/0.75  % (17233)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75  % (17233)Termination reason: Refutation
% 0.54/0.75  
% 0.54/0.75  % (17233)Memory used [KB]: 984
% 0.54/0.75  % (17233)Time elapsed: 0.003 s
% 0.54/0.75  % (17233)Instructions burned: 4 (million)
% 0.54/0.75  % (17233)------------------------------
% 0.54/0.75  % (17233)------------------------------
% 0.54/0.75  % (17223)Success in time 0.382 s
% 0.54/0.75  terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.54/0.75  17223 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.8X4IZWQOxy/Vampire---4.8_16974
% 0.54/0.75  % (17223)------------------------------
% 0.54/0.75  % (17223)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75  % (17223)Termination reason: Unknown
% 0.54/0.75  % (17223)Termination phase: Unknown
% 0.54/0.75  
% 0.54/0.75  % (17223)Memory used [KB]: 439
% 0.54/0.75  % (17223)Time elapsed: 0.382 s
% 0.54/0.75  % (17223)Instructions burned: 952 (million)
% 0.54/0.75  % (17223)------------------------------
% 0.54/0.75  % (17223)------------------------------
% 0.54/0.75  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75  ???
% 0.54/0.75   ???
% 0.54/0.75    ???
% 0.54/0.75     ???
% 0.54/0.75      ???
% 0.54/0.75       ???
% 0.54/0.75        ???
% 0.54/0.75         ???
% 0.54/0.75          ???
% 0.54/0.75           ???
% 0.54/0.75            ???
% 0.54/0.75             ???
% 0.54/0.75              ???
% 0.54/0.75               ???
% 0.54/0.75                ???
% 0.54/0.75                 ???
% 0.54/0.75                  ???
% 0.54/0.75                   ???
% 0.54/0.75                    ???
% 0.54/0.75                     ???
% 0.54/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------