TSTP Solution File: SYN098-1.002 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN098-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -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 : Wed Aug 31 19:36:53 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   26
% Syntax   : Number of formulae    :   41 (   2 unt;   0 def)
%            Number of atoms       :   93 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   89 (  37   ~;  40   |;   0   &)
%                                         (  12 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   26 (  25 usr;  26 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f309,plain,
    $false,
    inference(avatar_sat_refutation,[],[f139,f211,f221,f235,f267,f272,f278,f287,f289,f291,f298,f301,f308]) ).

fof(f308,plain,
    ( spl0_30
    | spl0_36 ),
    inference(avatar_split_clause,[],[f307,f232,f203]) ).

fof(f203,plain,
    ( spl0_30
  <=> sym_p_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f232,plain,
    ( spl0_36
  <=> sym_q_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f307,plain,
    ( sym_q_0
    | sym_p_0 ),
    inference(subsumption_resolution,[],[f35,f36]) ).

fof(f36,axiom,
    sym_u_1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_1_s3_goal_1) ).

fof(f35,axiom,
    ( sym_q_0
    | ~ sym_u_1
    | sym_p_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_s3_goal_1) ).

fof(f301,plain,
    ( ~ spl0_41
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f67,f96,f264]) ).

fof(f264,plain,
    ( spl0_41
  <=> sym_u_17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f96,plain,
    ( spl0_7
  <=> sym_q_3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f67,axiom,
    ( ~ sym_q_3
    | ~ sym_u_17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_t3_4) ).

fof(f298,plain,
    ( spl0_4
    | ~ spl0_36
    | spl0_9
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f45,f228,f105,f232,f83]) ).

fof(f83,plain,
    ( spl0_4
  <=> sym_p_1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f105,plain,
    ( spl0_9
  <=> sym_q_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f228,plain,
    ( spl0_35
  <=> sym_u_6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f45,axiom,
    ( ~ sym_u_6
    | sym_q_2
    | ~ sym_q_0
    | sym_p_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_s3_type12_1) ).

fof(f291,plain,
    ( ~ spl0_43
    | ~ spl0_4
    | spl0_9
    | spl0_7 ),
    inference(avatar_split_clause,[],[f43,f96,f105,f83,f275]) ).

fof(f275,plain,
    ( spl0_43
  <=> sym_u_5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f43,axiom,
    ( sym_q_3
    | sym_q_2
    | ~ sym_p_1
    | ~ sym_u_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_s3_type11_4) ).

fof(f289,plain,
    ( ~ spl0_9
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f65,f218,f105]) ).

fof(f218,plain,
    ( spl0_33
  <=> sym_u_16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f65,axiom,
    ( ~ sym_u_16
    | ~ sym_q_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_t3_3) ).

fof(f287,plain,
    ( spl0_6
    | ~ spl0_30
    | spl0_4
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f37,f269,f83,f203,f91]) ).

fof(f91,plain,
    ( spl0_6
  <=> sym_p_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f269,plain,
    ( spl0_42
  <=> sym_u_2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f37,axiom,
    ( ~ sym_u_2
    | sym_p_1
    | ~ sym_p_0
    | sym_p_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_s3_type11_1) ).

fof(f278,plain,
    ( spl0_43
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f44,f83,f275]) ).

fof(f44,axiom,
    ( ~ sym_p_1
    | sym_u_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_5_s3_type11_4) ).

fof(f272,plain,
    ( ~ spl0_30
    | spl0_42 ),
    inference(avatar_split_clause,[],[f38,f269,f203]) ).

fof(f38,axiom,
    ( sym_u_2
    | ~ sym_p_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_2_s3_type11_1) ).

fof(f267,plain,
    ( ~ spl0_7
    | spl0_41 ),
    inference(avatar_split_clause,[],[f68,f264,f96]) ).

fof(f68,axiom,
    ( sym_u_17
    | ~ sym_q_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_17_t3_4) ).

fof(f235,plain,
    ( spl0_35
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f46,f232,f228]) ).

fof(f46,axiom,
    ( ~ sym_q_0
    | sym_u_6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_6_s3_type12_1) ).

fof(f221,plain,
    ( spl0_33
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f66,f105,f218]) ).

fof(f66,axiom,
    ( ~ sym_q_2
    | sym_u_16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_16_t3_3) ).

fof(f211,plain,
    ( ~ spl0_16
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f61,f91,f136]) ).

fof(f136,plain,
    ( spl0_16
  <=> sym_u_14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f61,axiom,
    ( ~ sym_p_2
    | ~ sym_u_14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_t3_1) ).

fof(f139,plain,
    ( spl0_16
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f62,f91,f136]) ).

fof(f62,axiom,
    ( ~ sym_p_2
    | sym_u_14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sym_u_14_t3_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN098-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n029.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 21:40:27 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.50  % (7028)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.50  % (7055)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.51  % (7039)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51  % (7039)First to succeed.
% 0.19/0.51  % (7039)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (7039)------------------------------
% 0.19/0.51  % (7039)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (7039)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (7039)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (7039)Memory used [KB]: 5628
% 0.19/0.51  % (7039)Time elapsed: 0.004 s
% 0.19/0.51  % (7039)Instructions burned: 2 (million)
% 0.19/0.51  % (7039)------------------------------
% 0.19/0.51  % (7039)------------------------------
% 0.19/0.51  % (7025)Success in time 0.164 s
%------------------------------------------------------------------------------