%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : CAT013-4 : 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_uns --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 15:50:43 EDT 2022

% Result   : Unsatisfiable 0.22s 0.53s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   12 (   5 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   4   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f51,plain,
    $false,
    inference(subsumption_resolution,[],[f49,f13]) ).

fof(f13,axiom,
    codomain(a) != domain(codomain(a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_of_codomain_is_codomain) ).

fof(f49,plain,
    codomain(a) = domain(codomain(a)),
    inference(resolution,[],[f29,f15]) ).

fof(f15,plain,
    there_exists(a),
    inference(resolution,[],[f5,f12]) ).

fof(f12,axiom,
    there_exists(codomain(a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assume_codomain_exists) ).

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

fof(f29,plain,
    ! [X1] :
      ( ~ there_exists(X1)
      | codomain(X1) = domain(codomain(X1)) ),
    inference(superposition,[],[f7,f11]) ).

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : CAT013-4 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.36  % Computer : n011.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Mon Aug 29 16:16:24 EDT 2022
% 0.14/0.36  % CPUTime    : 
% 0.22/0.51  % (32310)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.22/0.52  % (32315)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.52  % (32318)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.52  % (32310)First to succeed.
% 0.22/0.53  % (32310)Refutation found. Thanks to Tanya!
% 0.22/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.53  % (32310)------------------------------
% 0.22/0.53  % (32310)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.53  % (32310)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.53  % (32310)Termination reason: Refutation
% 0.22/0.53  
% 0.22/0.53  % (32310)Memory used [KB]: 5756
% 0.22/0.53  % (32310)Time elapsed: 0.104 s
% 0.22/0.53  % (32310)Instructions burned: 3 (million)
% 0.22/0.53  % (32310)------------------------------
% 0.22/0.53  % (32310)------------------------------
% 0.22/0.53  % (32298)Success in time 0.159 s
%------------------------------------------------------------------------------