TSTP Solution File: SYN122-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN122-1 : TPTP v8.1.2. Released v1.1.0.
% 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 : n022.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 03:37:46 EDT 2023

% Result   : Unsatisfiable 0.20s 0.44s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   20 (   6 unt;   0 def)
%            Number of atoms       :   54 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   79 (  45   ~;  33   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   2 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   33 (;  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f610,plain,
    $false,
    inference(resolution,[],[f609,f14]) ).

fof(f14,axiom,
    ! [X0] : p0(b,X0),
    file('/export/starexec/sandbox/tmp/tmp.6TouUjAUPj/Vampire---4.8_7509',axiom_14) ).

fof(f609,plain,
    ! [X0] : ~ p0(X0,X0),
    inference(resolution,[],[f608,f31]) ).

fof(f31,axiom,
    m0(b,b,e),
    file('/export/starexec/sandbox/tmp/tmp.6TouUjAUPj/Vampire---4.8_7509',axiom_31) ).

fof(f608,plain,
    ! [X0,X1] :
      ( ~ m0(X0,b,e)
      | ~ p0(X1,X1) ),
    inference(resolution,[],[f606,f14]) ).

fof(f606,plain,
    ! [X2,X0,X1] :
      ( ~ p0(X2,X2)
      | ~ m0(X1,X2,e)
      | ~ p0(X0,X0) ),
    inference(resolution,[],[f605,f163]) ).

fof(f163,axiom,
    ! [X2] :
      ( s1(X2)
      | ~ p0(X2,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.6TouUjAUPj/Vampire---4.8_7509',rule_125) ).

fof(f605,plain,
    ! [X2,X0,X1] :
      ( ~ s1(X1)
      | ~ p0(X2,X2)
      | ~ m0(X0,X1,e) ),
    inference(resolution,[],[f604,f30]) ).

fof(f30,axiom,
    n0(e,e),
    file('/export/starexec/sandbox/tmp/tmp.6TouUjAUPj/Vampire---4.8_7509',axiom_30) ).

fof(f604,plain,
    ! [X2,X0,X1] :
      ( ~ n0(e,e)
      | ~ m0(X0,X1,e)
      | ~ p0(X2,X2)
      | ~ s1(X1) ),
    inference(resolution,[],[f602,f14]) ).

fof(f602,plain,
    ! [X2,X0,X1] :
      ( ~ p0(b,b)
      | ~ m0(X1,X0,e)
      | ~ n0(e,e)
      | ~ p0(X2,X2)
      | ~ s1(X0) ),
    inference(resolution,[],[f601,f163]) ).

fof(f601,plain,
    ! [X2,X0,X1] :
      ( ~ s1(b)
      | ~ s1(X0)
      | ~ m0(X1,X0,e)
      | ~ n0(e,e)
      | ~ p0(X2,X2) ),
    inference(resolution,[],[f598,f504]) ).

fof(f504,plain,
    ! [X10] :
      ( ~ p0(X10,X10)
      | sP67 ),
    inference(cnf_transformation,[],[f504_D]) ).

fof(f504_D,plain,
    ( ! [X10] : ~ p0(X10,X10)
  <=> ~ sP67 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP67])]) ).

fof(f598,plain,
    ! [X2,X3] :
      ( ~ sP67
      | ~ s1(b)
      | ~ s1(X2)
      | ~ m0(X3,X2,e)
      | ~ n0(e,e) ),
    inference(resolution,[],[f596,f505]) ).

fof(f505,plain,
    ! [X3,X11,X6] :
      ( ~ s1(X11)
      | l2(X3,X3)
      | ~ m0(X6,X11,X3)
      | ~ sP67 ),
    inference(general_splitting,[],[f171,f504_D]) ).

fof(f171,axiom,
    ! [X3,X10,X11,X6] :
      ( ~ s1(X11)
      | ~ p0(X10,X10)
      | l2(X3,X3)
      | ~ m0(X6,X11,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.6TouUjAUPj/Vampire---4.8_7509',rule_133) ).

fof(f596,plain,
    ( ~ l2(e,e)
    | ~ n0(e,e)
    | ~ s1(b) ),
    inference(resolution,[],[f369,f169]) ).

fof(f169,axiom,
    ! [X8,X7] :
      ( ~ s1(X7)
      | ~ n0(e,X8)
      | ~ l2(X8,X8)
      | l2(X7,X8) ),
    file('/export/starexec/sandbox/tmp/tmp.6TouUjAUPj/Vampire---4.8_7509',rule_131) ).

fof(f369,axiom,
    ~ l2(b,e),
    file('/export/starexec/sandbox/tmp/tmp.6TouUjAUPj/Vampire---4.8_7509',prove_this) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : SYN122-1 : TPTP v8.1.2. Released v1.1.0.
% 0.15/0.16  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.36  % Computer : n022.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   : Sat Aug 26 18:20:40 EDT 2023
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a CNF_UNS_EPR_NEQ_HRN problem
% 0.16/0.36  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.6TouUjAUPj/Vampire---4.8_7509
% 0.16/0.36  % (7645)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43  % (7657)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)
% 0.20/0.43  % (7655)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)
% 0.20/0.43  % (7653)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)
% 0.20/0.43  % (7650)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)
% 0.20/0.43  % (7659)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)
% 0.20/0.43  % (7656)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)
% 0.20/0.43  % (7647)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)
% 0.20/0.44  % (7659)First to succeed.
% 0.20/0.44  % (7659)Refutation found. Thanks to Tanya!
% 0.20/0.44  % SZS status Unsatisfiable for Vampire---4
% 0.20/0.44  % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.44  % (7659)------------------------------
% 0.20/0.44  % (7659)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.44  % (7659)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.44  % (7659)Termination reason: Refutation
% 0.20/0.44  
% 0.20/0.44  % (7659)Memory used [KB]: 1791
% 0.20/0.44  % (7659)Time elapsed: 0.009 s
% 0.20/0.44  % (7659)------------------------------
% 0.20/0.44  % (7659)------------------------------
% 0.20/0.44  % (7645)Success in time 0.074 s
% 0.20/0.44  % Vampire---4.8 exiting
%------------------------------------------------------------------------------