%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYO632-1 : TPTP v8.1.0. Released v7.1.0.
% 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 : n004.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 19:51:49 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   13 (   5 unt;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   20 (  12   ~;   6   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f17,plain,
    $false,
    inference(avatar_sat_refutation,[],[f12,f14,f16]) ).

fof(f16,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f15]) ).

fof(f15,plain,
    ( $false
    | ~ spl0_2 ),
    inference(unit_resulting_resolution,[],[f11,f2]) ).

fof(f2,axiom,
    ! [X0] : 'E'(f('AP'(s(s('0')),X0)),'0'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2_02) ).

fof(f11,plain,
    ( ! [X2] : ~ 'E'(f(X2),'0')
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f10]) ).

fof(f10,plain,
    ( spl0_2
  <=> ! [X2] : ~ 'E'(f(X2),'0') ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f14,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f13]) ).

fof(f13,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f8,f3]) ).

fof(f3,axiom,
    ! [X1] : 'E'(f(X1),s('0')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_0_03) ).

fof(f8,plain,
    ( ! [X3] : ~ 'E'(f(X3),s('0'))
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f7]) ).

fof(f7,plain,
    ( spl0_1
  <=> ! [X3] : ~ 'E'(f(X3),s('0')) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f12,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f4,f10,f7]) ).

fof(f4,axiom,
    ! [X2,X3] :
      ( ~ 'E'(f(X2),'0')
      | ~ 'E'(f(X3),s('0')) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1_04) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SYO632-1 : TPTP v8.1.0. Released v7.1.0.
% 0.04/0.13  % 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 : n004.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 23:05:19 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.49  % (31722)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.50  % (31737)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.50  % (31729)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.50  % (31730)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.51  % (31722)First to succeed.
% 0.19/0.51  % (31722)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  % (31722)------------------------------
% 0.19/0.51  % (31722)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (31722)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (31722)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (31722)Memory used [KB]: 5373
% 0.19/0.51  % (31722)Time elapsed: 0.104 s
% 0.19/0.51  % (31722)Instructions burned: 1 (million)
% 0.19/0.51  % (31722)------------------------------
% 0.19/0.51  % (31722)------------------------------
% 0.19/0.51  % (31720)Success in time 0.16 s
%------------------------------------------------------------------------------