%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : KRS017-1 : TPTP v8.1.0. Released v2.0.0.
% 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 : n011.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 17:30:36 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (   5 unt;   0 def)
%            Number of atoms       :   28 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   30 (  16   ~;  13   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f18,plain,
    $false,
    inference(subsumption_resolution,[],[f17,f2]) ).

fof(f2,axiom,
    ~ a(exists),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).

fof(f17,plain,
    a(exists),
    inference(subsumption_resolution,[],[f16,f1]) ).

fof(f1,axiom,
    e(exists),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).

fof(f16,plain,
    ( ~ e(exists)
    | a(exists) ),
    inference(resolution,[],[f15,f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( r(X0,u0r3(X0))
      | ~ e(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).

fof(f15,plain,
    ! [X0] :
      ( ~ r(X0,u0r3(exists))
      | a(X0) ),
    inference(resolution,[],[f12,f9]) ).

fof(f9,plain,
    ! [X2,X1] :
      ( ~ sP0(X2)
      | a(X1)
      | ~ r(X1,X2) ),
    inference(general_splitting,[],[f4,f8_D]) ).

fof(f8,plain,
    ! [X2,X0] :
      ( ~ e(X0)
      | ~ r(X0,X2)
      | sP0(X2) ),
    inference(cnf_transformation,[],[f8_D]) ).

fof(f8_D,plain,
    ! [X2] :
      ( ! [X0] :
          ( ~ e(X0)
          | ~ r(X0,X2) )
    <=> ~ sP0(X2) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f4,axiom,
    ! [X2,X0,X1] :
      ( ~ r(X0,X2)
      | a(X1)
      | ~ r(X1,X2)
      | ~ e(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).

fof(f12,plain,
    sP0(u0r3(exists)),
    inference(subsumption_resolution,[],[f11,f1]) ).

fof(f11,plain,
    ( ~ e(exists)
    | sP0(u0r3(exists)) ),
    inference(resolution,[],[f10,f3]) ).

fof(f10,plain,
    ! [X0] :
      ( ~ r(exists,X0)
      | sP0(X0) ),
    inference(resolution,[],[f8,f1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : KRS017-1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.14  % 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 : n011.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 00:30:25 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (8623)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.20/0.51  % (8623)First to succeed.
% 0.20/0.51  % (8623)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (8623)------------------------------
% 0.20/0.51  % (8623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (8623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (8623)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (8623)Memory used [KB]: 5373
% 0.20/0.51  % (8623)Time elapsed: 0.083 s
% 0.20/0.51  % (8623)Instructions burned: 1 (million)
% 0.20/0.51  % (8623)------------------------------
% 0.20/0.51  % (8623)------------------------------
% 0.20/0.51  % (8601)Success in time 0.15 s
%------------------------------------------------------------------------------