TSTP Solution File: SYN379+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN379+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : n029.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 : Fri Sep  1 03:39:40 EDT 2023

% Result   : Theorem 0.22s 0.43s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    9 (   3 unt;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   26 (  14   ~;   0   |;   5   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   32 (;  28   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,plain,
    $false,
    inference(resolution,[],[f8,f7]) ).

fof(f7,plain,
    ! [X2,X3,X0] : big_q(X2,X0,X3),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ! [X0] :
      ( ! [X1] : ~ big_q(X0,X0,X1)
      & ! [X2,X3] : big_q(X2,X0,X3) ),
    inference(rectify,[],[f5]) ).

fof(f5,plain,
    ! [X1] :
      ( ! [X4] : ~ big_q(X1,X1,X4)
      & ! [X2,X3] : big_q(X2,X1,X3) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ~ ? [X1] :
        ( ! [X2,X3] : big_q(X2,X1,X3)
       => ~ ! [X4] : ~ big_q(X1,X1,X4) ),
    inference(pure_predicate_removal,[],[f3]) ).

fof(f3,plain,
    ~ ( ! [X0] : big_p(X0)
     => ? [X1] :
          ( ! [X2,X3] : big_q(X2,X1,X3)
         => ~ ! [X4] :
                ( ~ big_q(X1,X1,X4)
                & big_p(X4) ) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ! [X0] : big_p(X0)
     => ? [X1] :
          ( ! [X0,X2] : big_q(X0,X1,X2)
         => ~ ! [X2] :
                ( ~ big_q(X1,X1,X2)
                & big_p(X2) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ! [X0] : big_p(X0)
   => ? [X1] :
        ( ! [X0,X2] : big_q(X0,X1,X2)
       => ~ ! [X2] :
              ( ~ big_q(X1,X1,X2)
              & big_p(X2) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.gKFxgCNXG1/Vampire---4.8_14803',x2131) ).

fof(f8,plain,
    ! [X0,X1] : ~ big_q(X0,X0,X1),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SYN379+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36  % Computer : n029.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sat Aug 26 20:57:55 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.gKFxgCNXG1/Vampire---4.8_14803
% 0.14/0.36  % (15148)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (15159)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)
% 0.22/0.42  % (15151)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)
% 0.22/0.42  % (15156)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)
% 0.22/0.42  % (15152)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)
% 0.22/0.42  % (15166)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)
% 0.22/0.42  % (15152)First to succeed.
% 0.22/0.42  % (15154)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.22/0.42  % (15159)Also succeeded, but the first one will report.
% 0.22/0.43  % (15152)Refutation found. Thanks to Tanya!
% 0.22/0.43  % SZS status Theorem for Vampire---4
% 0.22/0.43  % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.43  % (15152)------------------------------
% 0.22/0.43  % (15152)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43  % (15152)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43  % (15152)Termination reason: Refutation
% 0.22/0.43  
% 0.22/0.43  % (15152)Memory used [KB]: 895
% 0.22/0.43  % (15152)Time elapsed: 0.003 s
% 0.22/0.43  % (15152)------------------------------
% 0.22/0.43  % (15152)------------------------------
% 0.22/0.43  % (15148)Success in time 0.061 s
% 0.22/0.43  % Vampire---4.8 exiting
%------------------------------------------------------------------------------