TSTP Solution File: SYN319-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN319-1 : TPTP v8.1.0. Released v1.2.0.
% 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 : n015.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 19:37:29 EDT 2022

% Result   : Unsatisfiable 1.53s 0.56s
% Output   : Refutation 1.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   16 (   6 unt;   0 def)
%            Number of atoms       :   26 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   21 (  11   ~;   8   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   3 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 2-2 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f22,plain,
    $false,
    inference(avatar_sat_refutation,[],[f14,f18,f21]) ).

fof(f21,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f20]) ).

fof(f20,plain,
    ( $false
    | ~ spl0_1 ),
    inference(resolution,[],[f10,f16]) ).

fof(f16,plain,
    ! [X2,X3] : ~ f(z2(X2,X3)),
    inference(resolution,[],[f7,f5]) ).

fof(f5,axiom,
    ! [X1] :
      ( h(X1)
      | ~ f(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).

fof(f7,axiom,
    ! [X0,X1] : ~ h(z2(X1,X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).

fof(f10,plain,
    ( ! [X0] : f(X0)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f9]) ).

fof(f9,plain,
    ( spl0_1
  <=> ! [X0] : f(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f18,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f17]) ).

fof(f17,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f15,f13]) ).

fof(f13,plain,
    ( ! [X1] : g(X1)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f12]) ).

fof(f12,plain,
    ( spl0_2
  <=> ! [X1] : g(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f15,plain,
    ! [X0,X1] : ~ g(z2(X0,X1)),
    inference(resolution,[],[f7,f6]) ).

fof(f6,axiom,
    ! [X1] :
      ( h(X1)
      | ~ g(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).

fof(f14,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f1,f12,f9]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( g(X1)
      | f(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN319-1 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n015.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 21:55:36 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 1.53/0.56  % (31909)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 1.53/0.56  % (31909)First to succeed.
% 1.53/0.56  % (31901)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 1.53/0.56  % (31888)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 (3000ds/37Mi)
% 1.53/0.56  % (31901)Also succeeded, but the first one will report.
% 1.53/0.56  % (31909)Refutation found. Thanks to Tanya!
% 1.53/0.56  % SZS status Unsatisfiable for theBenchmark
% 1.53/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.53/0.56  % (31909)------------------------------
% 1.53/0.56  % (31909)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.56  % (31909)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.56  % (31909)Termination reason: Refutation
% 1.53/0.56  
% 1.53/0.56  % (31909)Memory used [KB]: 5373
% 1.53/0.56  % (31909)Time elapsed: 0.081 s
% 1.53/0.56  % (31909)Instructions burned: 2 (million)
% 1.53/0.56  % (31909)------------------------------
% 1.53/0.56  % (31909)------------------------------
% 1.53/0.56  % (31885)Success in time 0.207 s
%------------------------------------------------------------------------------