%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : CAT007-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n025.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  : 600s
% DateTime : Fri Jul 15 00:04:33 EDT 2022

% Result   : Unsatisfiable 0.18s 0.34s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    8 (   5 unt;   0 nHn;   8 RR)
%            Number of literals    :   13 (   0 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(domain_codomain_composition2,axiom,
    ( ~ there_exists(domain(X))
    | ~ equalish(domain(X),codomain(Y))
    | there_exists(compose(X,Y)) ) ).

cnf(domain_of_c2_exists,hypothesis,
    there_exists(domain(c2)) ).

cnf(domain_of_c2_equals_codomain_of_c1,hypothesis,
    equalish(domain(c2),codomain(c1)) ).

cnf(prove_c1_c2_is_defined,negated_conjecture,
    ~ there_exists(compose(c2,c1)) ).

cnf(refute_0_0,plain,
    ( ~ equalish(domain(c2),codomain(c1))
    | ~ there_exists(domain(c2))
    | there_exists(compose(c2,c1)) ),
    inference(subst,[],[domain_codomain_composition2:[bind(X,$fot(c2)),bind(Y,$fot(c1))]]) ).

cnf(refute_0_1,plain,
    ( ~ there_exists(domain(c2))
    | there_exists(compose(c2,c1)) ),
    inference(resolve,[$cnf( equalish(domain(c2),codomain(c1)) )],[domain_of_c2_equals_codomain_of_c1,refute_0_0]) ).

cnf(refute_0_2,plain,
    there_exists(compose(c2,c1)),
    inference(resolve,[$cnf( there_exists(domain(c2)) )],[domain_of_c2_exists,refute_0_1]) ).

cnf(refute_0_3,plain,
    $false,
    inference(resolve,[$cnf( there_exists(compose(c2,c1)) )],[refute_0_2,prove_c1_c2_is_defined]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : CAT007-3 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun May 29 16:13:41 EDT 2022
% 0.18/0.33  % CPUTime  : 
% 0.18/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.34  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.34  
% 0.18/0.34  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.18/0.34  
%------------------------------------------------------------------------------