%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : CAT017-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n006.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 17:17:03 EDT 2024
% Result : Unsatisfiable 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 8 unt; 0 nHn; 11 RR)
% Number of literals : 19 ( 5 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 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 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_codomain_of_a_exists,negated_conjecture,
~ there_exists(codomain(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_codomain_of_a_exists) ).
cnf(domain_has_elements,axiom,
( ~ there_exists(domain(X10))
| there_exists(X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',domain_has_elements) ).
cnf(composition_implies_domain,axiom,
( ~ there_exists(compose(X18,X19))
| there_exists(domain(X18)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',composition_implies_domain) ).
cnf(assume_a_exists,plain,
there_exists(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assume_a_exists) ).
cnf(symmetry,axiom,
( X12 != X13
| X13 = X12 ),
theory(equality) ).
cnf(compose_codomain,axiom,
compose(codomain(X16),X16) = X16,
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',compose_codomain) ).
cnf(c12,plain,
X20 = compose(codomain(X20),X20),
inference(resolution,[status(thm)],[compose_codomain,symmetry]) ).
cnf(c4,axiom,
( X24 != X23
| ~ there_exists(X24)
| there_exists(X23) ),
theory(equality) ).
cnf(c18,plain,
( ~ there_exists(X28)
| there_exists(compose(codomain(X28),X28)) ),
inference(resolution,[status(thm)],[c4,c12]) ).
cnf(c23,plain,
there_exists(compose(codomain(a),a)),
inference(resolution,[status(thm)],[c18,assume_a_exists]) ).
cnf(c24,plain,
there_exists(domain(codomain(a))),
inference(resolution,[status(thm)],[c23,composition_implies_domain]) ).
cnf(c30,plain,
there_exists(codomain(a)),
inference(resolution,[status(thm)],[c24,domain_has_elements]) ).
cnf(c32,plain,
$false,
inference(resolution,[status(thm)],[c30,prove_codomain_of_a_exists]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CAT017-4 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n006.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 20:57:53 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.18/0.52 % Version: 1.5
% 0.18/0.52 % SZS status Unsatisfiable
% 0.18/0.52 % SZS output start CNFRefutation
% See solution above
% 0.18/0.52
% 0.18/0.52 % Initial clauses : 21
% 0.18/0.52 % Processed clauses : 22
% 0.18/0.52 % Factors computed : 0
% 0.18/0.52 % Resolvents computed: 30
% 0.18/0.52 % Tautologies deleted: 1
% 0.18/0.52 % Forward subsumed : 5
% 0.18/0.52 % Backward subsumed : 0
% 0.18/0.52 % -------- CPU Time ---------
% 0.18/0.52 % User time : 0.168 s
% 0.18/0.52 % System time : 0.012 s
% 0.18/0.52 % Total time : 0.180 s
%------------------------------------------------------------------------------