%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : CAT005-3 : 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 : n019.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 15:51:15 EDT 2022

% Result   : Unsatisfiable 0.19s 0.47s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   21 (   9 unt;   0 def)
%            Number of atoms       :   33 (   9 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   24 (  12   ~;  10   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f100,plain,
    $false,
    inference(avatar_sat_refutation,[],[f44,f93,f99]) ).

fof(f99,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f98]) ).

fof(f98,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f94,f21]) ).

fof(f21,axiom,
    d != domain(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_of_a_is_d) ).

fof(f94,plain,
    ( d = domain(a)
    | ~ spl0_2 ),
    inference(backward_demodulation,[],[f51,f43]) ).

fof(f43,plain,
    ( d = codomain(d)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f41,plain,
    ( spl0_2
  <=> d = codomain(d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f51,plain,
    domain(a) = codomain(d),
    inference(resolution,[],[f7,f18]) ).

fof(f18,axiom,
    there_exists(compose(a,d)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ad_exists) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ there_exists(compose(X0,X1))
      | domain(X0) = codomain(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_codomain_composition1) ).

fof(f93,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f92,f37]) ).

fof(f37,plain,
    ( spl0_1
  <=> there_exists(d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f92,plain,
    there_exists(d),
    inference(subsumption_resolution,[],[f88,f28]) ).

fof(f28,plain,
    there_exists(domain(a)),
    inference(resolution,[],[f6,f18]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ~ there_exists(compose(X0,X1))
      | there_exists(domain(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_implies_domain) ).

fof(f88,plain,
    ( there_exists(d)
    | ~ there_exists(domain(a)) ),
    inference(superposition,[],[f5,f51]) ).

fof(f5,axiom,
    ! [X0] :
      ( ~ there_exists(codomain(X0))
      | there_exists(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain_has_elements) ).

fof(f44,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f35,f41,f37]) ).

fof(f35,plain,
    ( d = codomain(d)
    | ~ there_exists(d) ),
    inference(superposition,[],[f19,f11]) ).

fof(f11,axiom,
    ! [X0] : compose(codomain(X0),X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_codomain) ).

fof(f19,axiom,
    ! [X0] :
      ( ~ there_exists(compose(X0,d))
      | compose(X0,d) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xd_equals_x) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : CAT005-3 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n019.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon Aug 29 16:19:50 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.19/0.46  % (25427)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.46  % (25427)First to succeed.
% 0.19/0.46  % (25435)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 (2999ds/75Mi)
% 0.19/0.47  % (25427)Refutation found. Thanks to Tanya!
% 0.19/0.47  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47  % (25427)------------------------------
% 0.19/0.47  % (25427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47  % (25427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47  % (25427)Termination reason: Refutation
% 0.19/0.47  
% 0.19/0.47  % (25427)Memory used [KB]: 5500
% 0.19/0.47  % (25427)Time elapsed: 0.064 s
% 0.19/0.47  % (25427)Instructions burned: 4 (million)
% 0.19/0.47  % (25427)------------------------------
% 0.19/0.47  % (25427)------------------------------
% 0.19/0.47  % (25419)Success in time 0.125 s
%------------------------------------------------------------------------------