TSTP Solution File: SYN583-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN583-1 : TPTP v8.1.2. Released v2.5.0.
% 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 : n032.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 03:41:49 EDT 2023

% Result   : Unsatisfiable 0.16s 0.35s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   36 (   9 unt;   0 def)
%            Number of atoms       :   74 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   72 (  34   ~;  32   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   6 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   27 (;  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f169,plain,
    $false,
    inference(avatar_sat_refutation,[],[f82,f86,f93,f163,f165,f168]) ).

fof(f168,plain,
    spl4_10,
    inference(avatar_contradiction_clause,[],[f166]) ).

fof(f166,plain,
    ( $false
    | spl4_10 ),
    inference(subsumption_resolution,[],[f4,f162]) ).

fof(f162,plain,
    ( ~ p2(c13,c18)
    | spl4_10 ),
    inference(avatar_component_clause,[],[f160]) ).

fof(f160,plain,
    ( spl4_10
  <=> p2(c13,c18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).

fof(f4,axiom,
    p2(c13,c18),
    file('/export/starexec/sandbox2/tmp/tmp.g68ovpMaaa/Vampire---4.8_13283',p2_4) ).

fof(f165,plain,
    spl4_9,
    inference(avatar_contradiction_clause,[],[f164]) ).

fof(f164,plain,
    ( $false
    | spl4_9 ),
    inference(resolution,[],[f158,f3]) ).

fof(f3,axiom,
    ! [X2] : p5(X2,X2),
    file('/export/starexec/sandbox2/tmp/tmp.g68ovpMaaa/Vampire---4.8_13283',p5_3) ).

fof(f158,plain,
    ( ~ p5(c15,c15)
    | spl4_9 ),
    inference(avatar_component_clause,[],[f156]) ).

fof(f156,plain,
    ( spl4_9
  <=> p5(c15,c15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).

fof(f163,plain,
    ( ~ spl4_9
    | ~ spl4_10
    | spl4_3 ),
    inference(avatar_split_clause,[],[f144,f90,f160,f156]) ).

fof(f90,plain,
    ( spl4_3
  <=> p2(f6(c15,c13),f6(c15,c18)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f144,plain,
    ( ~ p2(c13,c18)
    | ~ p5(c15,c15)
    | spl4_3 ),
    inference(resolution,[],[f23,f92]) ).

fof(f92,plain,
    ( ~ p2(f6(c15,c13),f6(c15,c18))
    | spl4_3 ),
    inference(avatar_component_clause,[],[f90]) ).

fof(f23,axiom,
    ! [X31,X28,X29,X30] :
      ( p2(f6(X28,X29),f6(X30,X31))
      | ~ p2(X29,X31)
      | ~ p5(X28,X30) ),
    file('/export/starexec/sandbox2/tmp/tmp.g68ovpMaaa/Vampire---4.8_13283',p2_23) ).

fof(f93,plain,
    ( ~ spl4_3
    | spl4_2 ),
    inference(avatar_split_clause,[],[f87,f79,f90]) ).

fof(f79,plain,
    ( spl4_2
  <=> p2(f4(f6(c15,c13)),f4(f6(c15,c18))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f87,plain,
    ( ~ p2(f6(c15,c13),f6(c15,c18))
    | spl4_2 ),
    inference(resolution,[],[f81,f14]) ).

fof(f14,axiom,
    ! [X10,X9] :
      ( p2(f4(X9),f4(X10))
      | ~ p2(X9,X10) ),
    file('/export/starexec/sandbox2/tmp/tmp.g68ovpMaaa/Vampire---4.8_13283',p2_14) ).

fof(f81,plain,
    ( ~ p2(f4(f6(c15,c13)),f4(f6(c15,c18)))
    | spl4_2 ),
    inference(avatar_component_clause,[],[f79]) ).

fof(f86,plain,
    spl4_1,
    inference(avatar_contradiction_clause,[],[f83]) ).

fof(f83,plain,
    ( $false
    | spl4_1 ),
    inference(resolution,[],[f77,f2]) ).

fof(f2,axiom,
    ! [X1] : p2(X1,X1),
    file('/export/starexec/sandbox2/tmp/tmp.g68ovpMaaa/Vampire---4.8_13283',p2_2) ).

fof(f77,plain,
    ( ~ p2(c16,c16)
    | spl4_1 ),
    inference(avatar_component_clause,[],[f75]) ).

fof(f75,plain,
    ( spl4_1
  <=> p2(c16,c16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f82,plain,
    ( ~ spl4_1
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f47,f79,f75]) ).

fof(f47,plain,
    ( ~ p2(f4(f6(c15,c13)),f4(f6(c15,c18)))
    | ~ p2(c16,c16) ),
    inference(resolution,[],[f46,f7]) ).

fof(f7,axiom,
    p11(f4(f6(c15,c13)),c16),
    file('/export/starexec/sandbox2/tmp/tmp.g68ovpMaaa/Vampire---4.8_13283',p11_7) ).

fof(f46,plain,
    ! [X0,X1] :
      ( ~ p11(X0,X1)
      | ~ p2(X0,f4(f6(c15,c18)))
      | ~ p2(X1,c16) ),
    inference(resolution,[],[f39,f9]) ).

fof(f9,axiom,
    ~ p11(f4(f6(c15,c18)),c16),
    file('/export/starexec/sandbox2/tmp/tmp.g68ovpMaaa/Vampire---4.8_13283',not_p11_9) ).

fof(f39,plain,
    ! [X2,X3,X0,X1] :
      ( p11(X1,X3)
      | ~ p11(X0,X2)
      | ~ p2(X0,X1)
      | ~ p2(X2,X3) ),
    inference(resolution,[],[f29,f28]) ).

fof(f28,plain,
    ! [X21,X23,X20] :
      ( sP1(X20,X23)
      | p11(X20,X21)
      | ~ p2(X23,X21) ),
    inference(cnf_transformation,[],[f28_D]) ).

fof(f28_D,plain,
    ! [X23,X20] :
      ( ! [X21] :
          ( p11(X20,X21)
          | ~ p2(X23,X21) )
    <=> ~ sP1(X20,X23) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f29,plain,
    ! [X22,X23,X20] :
      ( ~ sP1(X20,X23)
      | ~ p2(X22,X20)
      | ~ p11(X22,X23) ),
    inference(general_splitting,[],[f21,f28_D]) ).

fof(f21,axiom,
    ! [X21,X22,X23,X20] :
      ( ~ p11(X22,X23)
      | ~ p2(X23,X21)
      | ~ p2(X22,X20)
      | p11(X20,X21) ),
    file('/export/starexec/sandbox2/tmp/tmp.g68ovpMaaa/Vampire---4.8_13283',p11_21) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SYN583-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.12  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.11/0.31  % Computer : n032.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Sat Aug 26 16:50:44 EDT 2023
% 0.11/0.31  % CPUTime    : 
% 0.11/0.31  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.11/0.31  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.g68ovpMaaa/Vampire---4.8_13283
% 0.11/0.31  % (13392)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.35  % (13396)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)
% 0.16/0.35  % (13396)First to succeed.
% 0.16/0.35  % (13396)Refutation found. Thanks to Tanya!
% 0.16/0.35  % SZS status Unsatisfiable for Vampire---4
% 0.16/0.35  % SZS output start Proof for Vampire---4
% See solution above
% 0.16/0.35  % (13396)------------------------------
% 0.16/0.35  % (13396)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.16/0.35  % (13396)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.16/0.35  % (13396)Termination reason: Refutation
% 0.16/0.35  
% 0.16/0.35  % (13396)Memory used [KB]: 10106
% 0.16/0.35  % (13396)Time elapsed: 0.005 s
% 0.16/0.35  % (13396)------------------------------
% 0.16/0.35  % (13396)------------------------------
% 0.16/0.35  % (13392)Success in time 0.036 s
% 0.16/0.35  % Vampire---4.8 exiting
%------------------------------------------------------------------------------