%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : CAT012-4 : 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 : n021.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 0.19s 0.57s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (   6 unt;   0 def)
%            Number of atoms       :   14 (   5 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (   8   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 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(f30,plain,
    $false,
    inference(resolution,[],[f25,f12]) ).

fof(f12,axiom,
    there_exists(domain(a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assume_domain_exists) ).

fof(f25,plain,
    ~ there_exists(domain(a)),
    inference(resolution,[],[f23,f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( there_exists(X0)
      | ~ there_exists(domain(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_has_elements) ).

fof(f23,plain,
    ~ there_exists(a),
    inference(trivial_inequality_removal,[],[f21]) ).

fof(f21,plain,
    ( ~ there_exists(a)
    | domain(a) != domain(a) ),
    inference(superposition,[],[f13,f19]) ).

fof(f19,plain,
    ! [X0] :
      ( domain(X0) = codomain(domain(X0))
      | ~ there_exists(X0) ),
    inference(superposition,[],[f7,f10]) ).

fof(f10,axiom,
    ! [X0] : compose(X0,domain(X0)) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose_domain) ).

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : CAT012-4 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 16:15:10 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.55  % (13893)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.55  % (13892)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.56  % (13908)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.56  % (13893)First to succeed.
% 0.19/0.57  % (13892)Also succeeded, but the first one will report.
% 0.19/0.57  % (13893)Refutation found. Thanks to Tanya!
% 0.19/0.57  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.57  % (13893)------------------------------
% 0.19/0.57  % (13893)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (13893)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (13893)Termination reason: Refutation
% 0.19/0.57  
% 0.19/0.57  % (13893)Memory used [KB]: 5756
% 0.19/0.57  % (13893)Time elapsed: 0.146 s
% 0.19/0.57  % (13893)Instructions burned: 2 (million)
% 0.19/0.57  % (13893)------------------------------
% 0.19/0.57  % (13893)------------------------------
% 0.19/0.57  % (13887)Success in time 0.219 s
%------------------------------------------------------------------------------