%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : CAT014-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n017.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 30 18:14:10 EDT 2023

% Result   : Unsatisfiable 0.19s 0.54s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   12 (   8 unt;   4 typ;   0 def)
%            Number of atoms       :    8 (   7 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    4 (   3   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :    5 (   0 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    domain: $i > $i ).

tff(decl_23,type,
    codomain: $i > $i ).

tff(decl_24,type,
    compose: ( $i * $i ) > $i ).

tff(decl_25,type,
    a: $i ).

cnf(codomain_of_domain_is_domain,axiom,
    codomain(domain(X1)) = domain(X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/CAT002-0.ax',codomain_of_domain_is_domain) ).

cnf(domain_of_codomain_is_codomain,axiom,
    domain(codomain(X1)) = codomain(X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/CAT002-0.ax',domain_of_codomain_is_codomain) ).

cnf(prove_codomain_is_idempotent,negated_conjecture,
    codomain(codomain(a)) != codomain(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_codomain_is_idempotent) ).

cnf(c_0_3,axiom,
    codomain(domain(X1)) = domain(X1),
    codomain_of_domain_is_domain ).

cnf(c_0_4,axiom,
    domain(codomain(X1)) = codomain(X1),
    domain_of_codomain_is_codomain ).

cnf(c_0_5,negated_conjecture,
    codomain(codomain(a)) != codomain(a),
    prove_codomain_is_idempotent ).

cnf(c_0_6,plain,
    codomain(codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_3,c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : CAT014-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n017.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   : Sat Aug 26 23:34:11 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.52  start to proof: theBenchmark
% 0.19/0.54  % Version  : CSE_E---1.5
% 0.19/0.54  % Problem  : theBenchmark.p
% 0.19/0.54  % Proof found
% 0.19/0.54  % SZS status Theorem for theBenchmark.p
% 0.19/0.54  % SZS output start Proof
% See solution above
% 0.19/0.54  % Total time : 0.003000 s
% 0.19/0.54  % SZS output end Proof
% 0.19/0.54  % Total time : 0.006000 s
%------------------------------------------------------------------------------