%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SET553-6 : TPTP v8.1.0. Bugfixed v2.1.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n011.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 : 600s % DateTime : Tue Jul 19 02:46:30 EDT 2022 % Result : Unsatisfiable 0.12s 0.35s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SET553-6 : TPTP v8.1.0. Bugfixed v2.1.0. % 0.06/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.33 % Computer : n011.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Sun Jul 10 00:07:11 EDT 2022 % 0.12/0.33 % CPUTime : % 0.12/0.35 % SZS status Unsatisfiable % 0.12/0.35 % SZS output begin IncompleteProof % 0.12/0.35 cnf(c0, axiom, % 0.12/0.35 ~subclass(intersection(domain_of(x),complement(domain_of(intersection(compose(domain_of(flip(cross_product(element_relation,universal_class))),x),identity_relation)))),domain_of(x))). % 0.12/0.35 cnf(c1, plain, % 0.12/0.35 ~subclass(intersection(domain_of(x),complement(domain_of(intersection(compose(domain_of(flip(cross_product(element_relation,universal_class))),x),identity_relation)))),domain_of(x)), % 0.12/0.35 inference(start, [], [c0])). % 0.12/0.35 % 0.12/0.35 cnf(c2, axiom, % 0.12/0.35 subclass(X0,X1) | member(not_subclass_element(X0,X1),X0)). % 0.12/0.35 cnf(a0, assumption, % 0.12/0.35 intersection(domain_of(x),complement(domain_of(intersection(compose(domain_of(flip(cross_product(element_relation,universal_class))),x),identity_relation)))) = X0). % 0.12/0.35 cnf(a1, assumption, % 0.12/0.35 domain_of(x) = X1). % 0.12/0.35 cnf(c3, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 0.12/0.35 cnf(c4, plain, % 0.12/0.35 member(not_subclass_element(X0,X1),X0), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 0.12/0.35 % 0.12/0.35 cnf(c5, axiom, % 0.12/0.35 member(X2,X3) | ~member(X2,intersection(X3,X4))). % 0.12/0.35 cnf(a2, assumption, % 0.12/0.35 not_subclass_element(X0,X1) = X2). % 0.12/0.35 cnf(a3, assumption, % 0.12/0.35 X0 = intersection(X3,X4)). % 0.12/0.35 cnf(c6, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])). % 0.12/0.35 cnf(c7, plain, % 0.12/0.35 member(X2,X3), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])). % 0.12/0.35 % 0.12/0.35 cnf(c8, axiom, % 0.12/0.35 subclass(X5,X6) | ~member(not_subclass_element(X5,X6),X6)). % 0.12/0.35 cnf(a4, assumption, % 0.12/0.35 X2 = not_subclass_element(X5,X6)). % 0.12/0.35 cnf(a5, assumption, % 0.12/0.35 X3 = X6). % 0.12/0.35 cnf(c9, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])). % 0.12/0.35 cnf(c10, plain, % 0.12/0.35 subclass(X5,X6), % 0.12/0.35 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])). % 0.12/0.35 % 0.12/0.35 cnf(c11, plain, % 0.12/0.35 ~subclass(intersection(domain_of(x),complement(domain_of(intersection(compose(domain_of(flip(cross_product(element_relation,universal_class))),x),identity_relation)))),domain_of(x))). % 0.12/0.35 cnf(a6, assumption, % 0.12/0.35 X5 = intersection(domain_of(x),complement(domain_of(intersection(compose(domain_of(flip(cross_product(element_relation,universal_class))),x),identity_relation))))). % 0.12/0.35 cnf(a7, assumption, % 0.12/0.35 X6 = domain_of(x)). % 0.12/0.35 cnf(c12, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(predicate_reduction, [assumptions([a6, a7])], [c10, c11])). % 0.12/0.35 % 0.12/0.35 cnf(c13, plain, % 0.12/0.35 $false, % 0.12/0.35 inference(constraint_solving, [ % 0.12/0.35 bind(X0, intersection(domain_of(x),complement(domain_of(intersection(compose(domain_of(flip(cross_product(element_relation,universal_class))),x),identity_relation))))), % 0.12/0.35 bind(X1, domain_of(x)), % 0.12/0.35 bind(X2, not_subclass_element(X0,X1)), % 0.12/0.35 bind(X3, domain_of(x)), % 0.12/0.35 bind(X4, complement(domain_of(intersection(compose(domain_of(flip(cross_product(element_relation,universal_class))),x),identity_relation)))), % 0.12/0.35 bind(X5, intersection(domain_of(x),complement(domain_of(intersection(compose(domain_of(flip(cross_product(element_relation,universal_class))),x),identity_relation))))), % 0.12/0.35 bind(X6, domain_of(x)) % 0.12/0.35 ], % 0.12/0.35 [a0, a1, a2, a3, a4, a5, a6, a7])). % 0.12/0.35 % 0.12/0.35 % SZS output end IncompleteProof %------------------------------------------------------------------------------