%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN063-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n002.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 : Tue Apr 30 18:02:01 EDT 2024

% Result   : Unsatisfiable 0.15s 0.38s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   22 (   6 unt;   0 def)
%            Number of atoms       :   44 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   36 (  14   ~;  17   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   6 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f47,plain,
    $false,
    inference(avatar_sat_refutation,[],[f17,f19,f34,f44,f46]) ).

fof(f46,plain,
    ~ spl1_3,
    inference(avatar_contradiction_clause,[],[f45]) ).

fof(f45,plain,
    ( $false
    | ~ spl1_3 ),
    inference(resolution,[],[f23,f4]) ).

fof(f4,axiom,
    ~ big_p(c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).

fof(f23,plain,
    ( big_p(c)
    | ~ spl1_3 ),
    inference(avatar_component_clause,[],[f21]) ).

fof(f21,plain,
    ( spl1_3
  <=> big_p(c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

fof(f44,plain,
    ( ~ spl1_1
    | spl1_3
    | spl1_2
    | ~ spl1_4 ),
    inference(avatar_split_clause,[],[f9,f25,f15,f21,f11]) ).

fof(f11,plain,
    ( spl1_1
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f15,plain,
    ( spl1_2
  <=> ! [X0] : big_p(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f25,plain,
    ( spl1_4
  <=> big_p(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).

fof(f9,plain,
    ! [X1] :
      ( ~ big_p(a)
      | big_p(X1)
      | big_p(c)
      | ~ sP0 ),
    inference(general_splitting,[],[f2,f8_D]) ).

fof(f8,plain,
    ! [X0] :
      ( big_p(X0)
      | sP0 ),
    inference(cnf_transformation,[],[f8_D]) ).

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

fof(f2,axiom,
    ! [X0,X1] :
      ( ~ big_p(a)
      | big_p(X0)
      | big_p(X1)
      | big_p(c) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).

fof(f34,plain,
    spl1_4,
    inference(avatar_contradiction_clause,[],[f33]) ).

fof(f33,plain,
    ( $false
    | spl1_4 ),
    inference(resolution,[],[f27,f1]) ).

fof(f1,axiom,
    big_p(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).

fof(f27,plain,
    ( ~ big_p(a)
    | spl1_4 ),
    inference(avatar_component_clause,[],[f25]) ).

fof(f19,plain,
    ~ spl1_2,
    inference(avatar_contradiction_clause,[],[f18]) ).

fof(f18,plain,
    ( $false
    | ~ spl1_2 ),
    inference(resolution,[],[f16,f4]) ).

fof(f16,plain,
    ( ! [X0] : big_p(X0)
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f15]) ).

fof(f17,plain,
    ( spl1_1
    | spl1_2 ),
    inference(avatar_split_clause,[],[f8,f15,f11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN063-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n002.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 02:10:25 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (18006)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37  % (18009)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.37  % (18009)First to succeed.
% 0.15/0.38  % (18009)Refutation found. Thanks to Tanya!
% 0.15/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38  % (18009)------------------------------
% 0.15/0.38  % (18009)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38  % (18009)Termination reason: Refutation
% 0.15/0.38  
% 0.15/0.38  % (18009)Memory used [KB]: 752
% 0.15/0.38  % (18009)Time elapsed: 0.003 s
% 0.15/0.38  % (18009)Instructions burned: 2 (million)
% 0.15/0.38  % (18009)------------------------------
% 0.15/0.38  % (18009)------------------------------
% 0.15/0.38  % (18006)Success in time 0.002 s
%------------------------------------------------------------------------------