%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : CAT013-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n008.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 0.40s 0.58s
% Output   : Refutation 0.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   13 (   8 unt;   0 nHn;  11 RR)
%            Number of literals    :   19 (   8 equ;   7 neg)
%            Maximal clause size   :    3 (   1 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   :   10 (   0 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(domain_codomain_composition1,axiom,
    ( ~ there_exists(compose(X19,X20))
    | domain(X19) = codomain(X20) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CAT003-0.ax',domain_codomain_composition1) ).

cnf(assume_codomain_exists,plain,
    there_exists(codomain(a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assume_codomain_exists) ).

cnf(codomain_has_elements,axiom,
    ( ~ there_exists(codomain(X13))
    | there_exists(X13) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CAT003-0.ax',codomain_has_elements) ).

cnf(c8,plain,
    there_exists(a),
    inference(resolution,[status(thm)],[codomain_has_elements,assume_codomain_exists]) ).

cnf(symmetry,axiom,
    ( X16 != X17
    | X17 = X16 ),
    theory(equality) ).

cnf(compose_codomain,axiom,
    compose(codomain(X22),X22) = X22,
    file('/export/starexec/sandbox2/benchmark/Axioms/CAT003-0.ax',compose_codomain) ).

cnf(c16,plain,
    X24 = compose(codomain(X24),X24),
    inference(resolution,[status(thm)],[compose_codomain,symmetry]) ).

cnf(c5,axiom,
    ( X32 != X31
    | ~ there_exists(X32)
    | there_exists(X31) ),
    theory(equality) ).

cnf(c26,plain,
    ( ~ there_exists(X45)
    | there_exists(compose(codomain(X45),X45)) ),
    inference(resolution,[status(thm)],[c5,c16]) ).

cnf(c44,plain,
    there_exists(compose(codomain(a),a)),
    inference(resolution,[status(thm)],[c26,c8]) ).

cnf(c50,plain,
    domain(codomain(a)) = codomain(a),
    inference(resolution,[status(thm)],[c44,domain_codomain_composition1]) ).

cnf(c266,plain,
    $false,
    inference(resolution,[status(thm)],[c50,prove_domain_of_codomain_is_codomain]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : CAT013-3 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n008.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 21:04:23 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.40/0.58  % Version:  1.5
% 0.40/0.58  % SZS status Unsatisfiable
% 0.40/0.58  % SZS output start CNFRefutation
% See solution above
% 0.40/0.58  
% 0.40/0.58  % Initial clauses    : 28
% 0.40/0.58  % Processed clauses  : 53
% 0.40/0.58  % Factors computed   : 5
% 0.40/0.58  % Resolvents computed: 260
% 0.40/0.58  % Tautologies deleted: 3
% 0.40/0.58  % Forward subsumed   : 30
% 0.40/0.58  % Backward subsumed  : 0
% 0.40/0.58  % -------- CPU Time ---------
% 0.40/0.58  % User time          : 0.223 s
% 0.40/0.58  % System time        : 0.015 s
% 0.40/0.58  % Total time         : 0.238 s
%------------------------------------------------------------------------------