TSTP Solution File: SYN052-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN052-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n025.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 19:36:41 EDT 2022

% Result   : Unsatisfiable 0.18s 0.48s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   20 (   1 unt;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   39 (  18   ~;  17   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   6 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f29,plain,
    $false,
    inference(avatar_sat_refutation,[],[f18,f19,f20,f24,f26,f28]) ).

fof(f28,plain,
    ( ~ spl0_1
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f27]) ).

fof(f27,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f23,f8]) ).

fof(f8,plain,
    ( ! [X1] : big_f(X1)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f7]) ).

fof(f7,plain,
    ( spl0_1
  <=> ! [X1] : big_f(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f23,plain,
    ( ! [X0] : ~ big_f(X0)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f22]) ).

fof(f22,plain,
    ( spl0_4
  <=> ! [X0] : ~ big_f(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f26,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_contradiction_clause,[],[f25]) ).

fof(f25,plain,
    ( $false
    | ~ spl0_1
    | spl0_2 ),
    inference(subsumption_resolution,[],[f12,f8]) ).

fof(f12,plain,
    ( ~ big_f(a)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f10]) ).

fof(f10,plain,
    ( spl0_2
  <=> big_f(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f24,plain,
    ( spl0_4
    | spl0_3 ),
    inference(avatar_split_clause,[],[f1,f15,f22]) ).

fof(f15,plain,
    ( spl0_3
  <=> p ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f1,axiom,
    ! [X0] :
      ( p
      | ~ big_f(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).

fof(f20,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f3,f15,f7]) ).

fof(f3,axiom,
    ! [X1] :
      ( p
      | big_f(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).

fof(f19,plain,
    ( ~ spl0_3
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f4,f10,f15]) ).

fof(f4,axiom,
    ( ~ big_f(a)
    | ~ p ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).

fof(f18,plain,
    ( spl0_1
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f2,f15,f7]) ).

fof(f2,axiom,
    ! [X0] :
      ( ~ p
      | big_f(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN052-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 21:33:45 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.48  % (23578)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.18/0.48  % (23578)First to succeed.
% 0.18/0.48  % (23578)Refutation found. Thanks to Tanya!
% 0.18/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48  % (23578)------------------------------
% 0.18/0.48  % (23578)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48  % (23578)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48  % (23578)Termination reason: Refutation
% 0.18/0.48  
% 0.18/0.48  % (23578)Memory used [KB]: 5373
% 0.18/0.48  % (23578)Time elapsed: 0.085 s
% 0.18/0.48  % (23578)Instructions burned: 1 (million)
% 0.18/0.48  % (23578)------------------------------
% 0.18/0.48  % (23578)------------------------------
% 0.18/0.48  % (23570)Success in time 0.138 s
%------------------------------------------------------------------------------