%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : CAT012-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n002.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 17:17:00 EDT 2024

% Result   : Unsatisfiable 1.82s 2.04s
% Output   : Refutation 1.82s
% 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_codomain_of_domain_is_domain,negated_conjecture,
    codomain(domain(a)) != domain(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_codomain_of_domain_is_domain) ).

cnf(product_on_codomain,axiom,
    product(codomain(X10),X10,X10),
    file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',product_on_codomain) ).

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

cnf(c122,plain,
    ( ~ product(codomain(X114),X114,X113)
    | X113 = X114 ),
    inference(resolution,[status(thm)],[composition_is_well_defined,product_on_codomain]) ).

cnf(domain_is_an_identity_map,axiom,
    identity_map(domain(X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',domain_is_an_identity_map) ).

cnf(mapping_from_codomain_of_x_to_x,axiom,
    defined(codomain(X6),X6),
    file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',mapping_from_codomain_of_x_to_x) ).

cnf(identity2,axiom,
    ( ~ defined(X47,X48)
    | ~ identity_map(X48)
    | product(X47,X48,X47) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',identity2) ).

cnf(c40,plain,
    ( ~ identity_map(X137)
    | product(codomain(X137),X137,codomain(X137)) ),
    inference(resolution,[status(thm)],[identity2,mapping_from_codomain_of_x_to_x]) ).

cnf(c191,plain,
    product(codomain(domain(X919)),domain(X919),codomain(domain(X919))),
    inference(resolution,[status(thm)],[c40,domain_is_an_identity_map]) ).

cnf(c4620,plain,
    codomain(domain(X929)) = domain(X929),
    inference(resolution,[status(thm)],[c191,c122]) ).

cnf(c4674,plain,
    $false,
    inference(resolution,[status(thm)],[c4620,prove_codomain_of_domain_is_domain]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : CAT012-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n002.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 : Wed May  8 21:05:08 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 1.82/2.04  % Version:  1.5
% 1.82/2.04  % SZS status Unsatisfiable
% 1.82/2.04  % SZS output start CNFRefutation
% See solution above
% 1.82/2.04  
% 1.82/2.04  % Initial clauses    : 28
% 1.82/2.04  % Processed clauses  : 356
% 1.82/2.04  % Factors computed   : 16
% 1.82/2.04  % Resolvents computed: 4664
% 1.82/2.04  % Tautologies deleted: 63
% 1.82/2.04  % Forward subsumed   : 249
% 1.82/2.04  % Backward subsumed  : 13
% 1.82/2.04  % -------- CPU Time ---------
% 1.82/2.04  % User time          : 1.675 s
% 1.82/2.04  % System time        : 0.016 s
% 1.82/2.04  % Total time         : 1.691 s
%------------------------------------------------------------------------------