TSTP Solution File: LCL666+1.001 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL666+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n009.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 : Thu Aug 31 08:28:40 EDT 2023

% Result   : Theorem 0.21s 0.42s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   6 unt;   0 def)
%            Number of atoms       :   49 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :   72 (  37   ~;  18   |;  16   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   17 (;  11   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f14,plain,
    $false,
    inference(unit_resulting_resolution,[],[f13,f12]) ).

fof(f12,plain,
    ! [X0] : r1(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] : r1(X0,X0),
    file('/export/starexec/sandbox2/tmp/tmp.Vg5jGKN9hW/Vampire---4.8_4966',reflexivity) ).

fof(f13,plain,
    ~ r1(sK0,sK0),
    inference(unit_resulting_resolution,[],[f11,f10,f9]) ).

fof(f9,plain,
    ! [X1] :
      ( ~ r1(sK0,X1)
      | ~ p201(X1)
      | ~ p101(X1) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,plain,
    ( p101(sK0)
    & p201(sK0)
    & ! [X1] :
        ( ~ p101(X1)
        | ~ p201(X1)
        | ~ r1(sK0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f6,f7]) ).

fof(f7,plain,
    ( ? [X0] :
        ( p101(X0)
        & p201(X0)
        & ! [X1] :
            ( ~ p101(X1)
            | ~ p201(X1)
            | ~ r1(X0,X1) ) )
   => ( p101(sK0)
      & p201(sK0)
      & ! [X1] :
          ( ~ p101(X1)
          | ~ p201(X1)
          | ~ r1(sK0,X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f6,plain,
    ? [X0] :
      ( p101(X0)
      & p201(X0)
      & ! [X1] :
          ( ~ p101(X1)
          | ~ p201(X1)
          | ~ r1(X0,X1) ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ? [X0] :
      ( p101(X0)
      & p201(X0)
      & ! [X1] :
          ( ~ p101(X1)
          | ~ p201(X1)
          | ~ r1(X0,X1) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ? [X0] :
      ~ ( ~ ( p101(X0)
            & p201(X0) )
        | ~ ! [X1] :
              ( ~ ( p101(X1)
                  & p201(X1) )
              | ~ r1(X0,X1) ) ),
    inference(flattening,[],[f3]) ).

fof(f3,negated_conjecture,
    ~ ~ ? [X0] :
          ~ ( ~ ( p101(X0)
                & p201(X0) )
            | ~ ! [X1] :
                  ( ~ ( p101(X1)
                      & p201(X1) )
                  | ~ r1(X0,X1) ) ),
    inference(negated_conjecture,[],[f2]) ).

fof(f2,conjecture,
    ~ ? [X0] :
        ~ ( ~ ( p101(X0)
              & p201(X0) )
          | ~ ! [X1] :
                ( ~ ( p101(X1)
                    & p201(X1) )
                | ~ r1(X0,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Vg5jGKN9hW/Vampire---4.8_4966',main) ).

fof(f10,plain,
    p201(sK0),
    inference(cnf_transformation,[],[f8]) ).

fof(f11,plain,
    p101(sK0),
    inference(cnf_transformation,[],[f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : LCL666+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35  % Computer : n009.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri Aug 25 07:03:21 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_EPR_NEQ problem
% 0.14/0.36  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.Vg5jGKN9hW/Vampire---4.8_4966
% 0.14/0.36  % (5073)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (5079)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.21/0.42  % (5077)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.21/0.42  % (5075)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.21/0.42  % (5074)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.21/0.42  % (5080)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.21/0.42  % (5079)First to succeed.
% 0.21/0.42  % (5074)Also succeeded, but the first one will report.
% 0.21/0.42  % (5078)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.21/0.42  % (5075)Also succeeded, but the first one will report.
% 0.21/0.42  % (5079)Refutation found. Thanks to Tanya!
% 0.21/0.42  % SZS status Theorem for Vampire---4
% 0.21/0.42  % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.42  % (5079)------------------------------
% 0.21/0.42  % (5079)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42  % (5079)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42  % (5079)Termination reason: Refutation
% 0.21/0.42  
% 0.21/0.42  % (5079)Memory used [KB]: 5373
% 0.21/0.42  % (5079)Time elapsed: 0.003 s
% 0.21/0.42  % (5079)------------------------------
% 0.21/0.42  % (5079)------------------------------
% 0.21/0.42  % (5073)Success in time 0.061 s
% 0.21/0.42  % Vampire---4.8 exiting
%------------------------------------------------------------------------------