%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : CAT013-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n005.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 : Thu May  9 17:17:01 EDT 2024

% Result   : Unsatisfiable 1.65s 1.82s
% Output   : Refutation 1.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   7 unt;   0 nHn;   6 RR)
%            Number of literals    :   17 (   4 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   14 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_domain_of_codomain_is_codomain,negated_conjecture,
    domain(codomain(a)) != codomain(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_of_codomain_is_codomain) ).

cnf(product_on_domain,axiom,
    product(X9,domain(X9),X9),
    file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',product_on_domain) ).

cnf(composition_is_well_defined,axiom,
    ( ~ product(X98,X97,X99)
    | ~ product(X98,X97,X96)
    | X99 = X96 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',composition_is_well_defined) ).

cnf(c121,plain,
    ( ~ product(X103,domain(X103),X104)
    | X104 = X103 ),
    inference(resolution,[status(thm)],[composition_is_well_defined,product_on_domain]) ).

cnf(codomain_is_an_identity_map,axiom,
    identity_map(codomain(X4)),
    file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',codomain_is_an_identity_map) ).

cnf(mapping_from_x_to_its_domain,axiom,
    defined(X5,domain(X5)),
    file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',mapping_from_x_to_its_domain) ).

cnf(identity1,axiom,
    ( ~ defined(X46,X45)
    | ~ identity_map(X46)
    | product(X46,X45,X45) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',identity1) ).

cnf(c34,plain,
    ( ~ identity_map(X135)
    | product(X135,domain(X135),domain(X135)) ),
    inference(resolution,[status(thm)],[identity1,mapping_from_x_to_its_domain]) ).

cnf(c188,plain,
    product(codomain(X899),domain(codomain(X899)),domain(codomain(X899))),
    inference(resolution,[status(thm)],[c34,codomain_is_an_identity_map]) ).

cnf(c4529,plain,
    domain(codomain(X902)) = codomain(X902),
    inference(resolution,[status(thm)],[c188,c121]) ).

cnf(c4542,plain,
    $false,
    inference(resolution,[status(thm)],[c4529,prove_domain_of_codomain_is_codomain]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : CAT013-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n005.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed May  8 21:04:08 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 1.65/1.82  % Version:  1.5
% 1.65/1.82  % SZS status Unsatisfiable
% 1.65/1.82  % SZS output start CNFRefutation
% See solution above
% 1.65/1.82  
% 1.65/1.82  % Initial clauses    : 28
% 1.65/1.82  % Processed clauses  : 346
% 1.65/1.82  % Factors computed   : 16
% 1.65/1.82  % Resolvents computed: 4535
% 1.65/1.82  % Tautologies deleted: 61
% 1.65/1.82  % Forward subsumed   : 238
% 1.65/1.82  % Backward subsumed  : 13
% 1.65/1.82  % -------- CPU Time ---------
% 1.65/1.82  % User time          : 1.458 s
% 1.65/1.82  % System time        : 0.015 s
% 1.65/1.82  % Total time         : 1.473 s
%------------------------------------------------------------------------------