%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SEU319+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n012.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 11:55:02 EDT 2022 % Result : Theorem 59.37s 9.65s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SEU319+1 : TPTP v8.1.0. Released v3.3.0. % 0.11/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.33 % Computer : n012.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 : Mon Jun 20 10:46:07 EDT 2022 % 0.12/0.33 % CPUTime : % 59.37/9.65 % SZS status Theorem % 59.37/9.65 % SZS output begin IncompleteProof % 59.37/9.65 cnf(c0, axiom, % 59.37/9.65 ~open_subset(subset_complement(the_carrier(sK3),sK4),sK3) | ~closed_subset(sK4,sK3)). % 59.37/9.65 cnf(c1, plain, % 59.37/9.65 ~open_subset(subset_complement(the_carrier(sK3),sK4),sK3) | ~closed_subset(sK4,sK3), % 59.37/9.65 inference(start, [], [c0])). % 59.37/9.65 % 59.37/9.65 cnf(c2, axiom, % 59.37/9.65 open_subset(subset_difference(the_carrier(X0),cast_as_carrier_subset(X0),X1),X0) | ~closed_subset(X1,X0) | ~element(X1,powerset(the_carrier(X0))) | ~top_str(X0)). % 59.37/9.65 cnf(a0, assumption, % 59.37/9.65 X2 = subset_complement(the_carrier(sK3),sK4)). % 59.37/9.65 cnf(a1, assumption, % 59.37/9.65 X3 = sK3). % 59.37/9.65 cnf(c3, plain, % 59.37/9.65 ~closed_subset(sK4,sK3), % 59.37/9.65 inference(lazy_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 59.37/9.65 cnf(c4, plain, % 59.37/9.65 ~closed_subset(X1,X0) | ~element(X1,powerset(the_carrier(X0))) | ~top_str(X0), % 59.37/9.65 inference(lazy_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 59.37/9.65 cnf(c5, plain, % 59.37/9.65 subset_difference(the_carrier(X0),cast_as_carrier_subset(X0),X1) != X2 | X0 != X3, % 59.37/9.65 inference(lazy_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 59.37/9.65 % 59.37/9.65 cnf(c6, axiom, % 59.37/9.65 subset_difference(the_carrier(X4),cast_as_carrier_subset(X4),X5) = subset_complement(the_carrier(X4),X5) | ~element(X5,powerset(the_carrier(X4))) | ~one_sorted_str(X4)). % 59.37/9.65 cnf(a2, assumption, % 59.37/9.65 subset_difference(the_carrier(X0),cast_as_carrier_subset(X0),X1) = subset_difference(the_carrier(X4),cast_as_carrier_subset(X4),X5)). % 59.37/9.65 cnf(c7, plain, % 59.37/9.65 X0 != X3, % 59.37/9.65 inference(strict_function_extension, [assumptions([a2])], [c5, c6])). % 59.37/9.65 cnf(c8, plain, % 59.37/9.65 ~element(X5,powerset(the_carrier(X4))) | ~one_sorted_str(X4), % 59.37/9.65 inference(strict_function_extension, [assumptions([a2])], [c5, c6])). % 59.37/9.65 cnf(c9, plain, % 59.37/9.65 X6 != subset_complement(the_carrier(X4),X5) | X6 != X2, % 59.37/9.65 inference(strict_function_extension, [assumptions([a2])], [c5, c6])). % 59.37/9.65 % 59.37/9.65 cnf(a3, assumption, % 59.37/9.65 X6 = subset_complement(the_carrier(X4),X5)). % 59.37/9.65 cnf(c10, plain, % 59.37/9.65 X6 != X2, % 59.37/9.65 inference(reflexivity, [assumptions([a3])], [c9])). % 59.37/9.65 % 59.37/9.65 cnf(a4, assumption, % 59.37/9.65 X6 = X2). % 59.37/9.65 cnf(c11, plain, % 59.37/9.65 $false, % 59.37/9.65 inference(reflexivity, [assumptions([a4])], [c10])). % 59.37/9.65 % 59.37/9.65 cnf(c12, axiom, % 59.37/9.65 element(sK4,powerset(the_carrier(sK3)))). % 59.37/9.65 cnf(a5, assumption, % 59.37/9.65 X5 = sK4). % 59.37/9.65 cnf(a6, assumption, % 59.37/9.65 powerset(the_carrier(X4)) = powerset(the_carrier(sK3))). % 59.37/9.65 cnf(c13, plain, % 59.37/9.65 ~one_sorted_str(X4), % 59.37/9.65 inference(strict_predicate_extension, [assumptions([a5, a6])], [c8, c12])). % 59.37/9.65 cnf(c14, plain, % 59.37/9.65 $false, % 59.37/9.65 inference(strict_predicate_extension, [assumptions([a5, a6])], [c8, c12])). % 59.37/9.65 % 59.37/9.65 cnf(c15, axiom, % 59.37/9.65 one_sorted_str(X7) | ~top_str(X7)). % 59.37/9.65 cnf(a7, assumption, % 59.37/9.65 X4 = X7). % 59.37/9.65 cnf(c16, plain, % 59.37/9.65 $false, % 59.37/9.65 inference(strict_predicate_extension, [assumptions([a7])], [c13, c15])). % 59.37/9.65 cnf(c17, plain, % 59.37/9.65 ~top_str(X7), % 59.37/9.65 inference(strict_predicate_extension, [assumptions([a7])], [c13, c15])). % 59.37/9.65 % 59.37/9.65 cnf(c18, axiom, % 59.37/9.65 top_str(sK3)). % 59.37/9.65 cnf(a8, assumption, % 59.37/9.65 X7 = sK3). % 59.37/9.65 cnf(c19, plain, % 59.37/9.65 $false, % 59.37/9.65 inference(strict_predicate_extension, [assumptions([a8])], [c17, c18])). % 59.37/9.65 cnf(c20, plain, % 59.37/9.65 $false, % 59.37/9.65 inference(strict_predicate_extension, [assumptions([a8])], [c17, c18])). % 59.37/9.65 % 59.37/9.65 cnf(a9, assumption, % 59.37/9.65 X0 = X3). % 59.37/9.65 cnf(c21, plain, % 59.37/9.65 $false, % 59.37/9.65 inference(reflexivity, [assumptions([a9])], [c7])). % 59.37/9.65 % 59.37/9.65 cnf(c22, axiom, % 59.37/9.65 open_subset(subset_complement(the_carrier(sK3),sK4),sK3) | closed_subset(sK4,sK3)). % 59.37/9.65 cnf(a10, assumption, % 59.37/9.65 X1 = sK4). % 59.37/9.65 cnf(a11, assumption, % 59.37/9.65 X0 = sK3). % 59.37/9.65 cnf(c23, plain, % 59.37/9.65 ~element(X1,powerset(the_carrier(X0))) | ~top_str(X0), % 59.37/9.65 inference(strict_predicate_extension, [assumptions([a10, a11])], [c4, c22])). % 59.37/9.65 cnf(c24, plain, % 59.37/9.65 open_subset(subset_complement(the_carrier(sK3),sK4),sK3), % 59.37/9.65 inference(strict_predicate_extension, [assumptions([a10, a11])], [c4, c22])). % 59.37/9.65 % 59.37/9.65 cnf(c25, plain, % 59.37/9.65 ~open_subset(subset_complement(the_carrier(sK3),sK4),sK3)). % 59.37/9.65 cnf(a12, assumption, % 59.37/9.65 subset_complement(the_carrier(sK3),sK4) = subset_complement(the_carrier(sK3),sK4)). % 59.37/9.65 cnf(a13, assumption, % 59.37/9.65 sK3 = sK3). % 59.37/9.65 cnf(c26, plain, % 59.37/9.65 $false, % 59.37/9.65 inference(predicate_reduction, [assumptions([a12, a13])], [c24, c25])). % 59.37/9.65 % 59.37/9.65 cnf(c27, plain, % 59.37/9.65 element(X5,powerset(the_carrier(X4)))). % 59.37/9.65 cnf(a14, assumption, % 59.37/9.65 X1 = X5). % 59.37/9.65 cnf(a15, assumption, % 59.37/9.65 powerset(the_carrier(X0)) = powerset(the_carrier(X4))). % 59.37/9.65 cnf(c28, plain, % 59.37/9.65 ~top_str(X0), % 59.37/9.65 inference(predicate_reduction, [assumptions([a14, a15])], [c23, c27])). % 59.37/9.65 % 59.37/9.65 cnf(c29, plain, % 59.37/9.65 top_str(X7)). % 59.37/9.65 cnf(a16, assumption, % 59.37/9.65 X0 = X7). % 59.37/9.65 cnf(c30, plain, % 59.37/9.65 $false, % 59.37/9.65 inference(predicate_reduction, [assumptions([a16])], [c28, c29])). % 59.37/9.65 % 59.37/9.65 cnf(c31, axiom, % 59.37/9.65 closed_subset(X8,X9) | ~open_subset(subset_difference(the_carrier(X9),cast_as_carrier_subset(X9),X8),X9) | ~element(X8,powerset(the_carrier(X9))) | ~top_str(X9)). % 59.37/9.65 cnf(a17, assumption, % 59.37/9.65 sK4 = X8). % 59.37/9.65 cnf(a18, assumption, % 59.37/9.65 sK3 = X9). % 59.37/9.65 cnf(c32, plain, % 59.37/9.65 $false, % 59.37/9.65 inference(strict_predicate_extension, [assumptions([a17, a18])], [c3, c31])). % 59.37/9.65 cnf(c33, plain, % 59.37/9.65 ~open_subset(subset_difference(the_carrier(X9),cast_as_carrier_subset(X9),X8),X9) | ~element(X8,powerset(the_carrier(X9))) | ~top_str(X9), % 59.37/9.65 inference(strict_predicate_extension, [assumptions([a17, a18])], [c3, c31])). % 59.37/9.65 % 59.37/9.65 cnf(c34, plain, % 59.37/9.65 subset_difference(the_carrier(X0),cast_as_carrier_subset(X0),X1) = X2). % 59.37/9.65 cnf(a19, assumption, % 59.37/9.65 subset_difference(the_carrier(X9),cast_as_carrier_subset(X9),X8) = subset_difference(the_carrier(X0),cast_as_carrier_subset(X0),X1)). % 59.37/9.65 cnf(c35, plain, % 59.37/9.65 ~element(X8,powerset(the_carrier(X9))) | ~top_str(X9), % 59.37/9.65 inference(equality_reduction, [assumptions([a19])], [c33, c34])). % 59.37/9.65 cnf(c36, plain, % 59.37/9.65 ~open_subset(X2,X9), % 59.37/9.65 inference(equality_reduction, [assumptions([a19])], [c33, c34])). % 59.37/9.65 % 59.37/9.65 cnf(c37, plain, % 59.37/9.65 open_subset(subset_complement(the_carrier(sK3),sK4),sK3)). % 59.37/9.65 cnf(a20, assumption, % 59.37/9.65 X2 = subset_complement(the_carrier(sK3),sK4)). % 59.37/9.65 cnf(a21, assumption, % 59.37/9.65 X9 = sK3). % 59.37/9.65 cnf(c38, plain, % 59.37/9.65 $false, % 59.37/9.65 inference(predicate_reduction, [assumptions([a20, a21])], [c36, c37])). % 59.37/9.65 % 59.37/9.65 cnf(c39, plain, % 59.37/9.65 element(X5,powerset(the_carrier(X4)))). % 59.37/9.65 cnf(a22, assumption, % 59.37/9.65 X8 = X5). % 59.37/9.65 cnf(a23, assumption, % 59.37/9.65 powerset(the_carrier(X9)) = powerset(the_carrier(X4))). % 59.37/9.65 cnf(c40, plain, % 59.37/9.65 ~top_str(X9), % 59.37/9.65 inference(predicate_reduction, [assumptions([a22, a23])], [c35, c39])). % 59.37/9.65 % 59.37/9.65 cnf(c41, plain, % 59.37/9.65 top_str(X7)). % 59.37/9.65 cnf(a24, assumption, % 59.37/9.65 X9 = X7). % 59.37/9.65 cnf(c42, plain, % 59.37/9.65 $false, % 59.37/9.65 inference(predicate_reduction, [assumptions([a24])], [c40, c41])). % 59.37/9.65 % 59.37/9.65 cnf(c43, plain, % 59.37/9.65 $false, % 59.37/9.65 inference(constraint_solving, [ % 59.37/9.65 bind(X0, sK3), % 59.37/9.65 bind(X1, sK4), % 59.37/9.65 bind(X2, subset_complement(the_carrier(sK3),sK4)), % 59.37/9.65 bind(X3, sK3), % 59.37/9.65 bind(X4, sK3), % 59.37/9.65 bind(X5, sK4), % 59.37/9.65 bind(X6, subset_complement(the_carrier(X4),X5)), % 59.37/9.65 bind(X7, sK3), % 59.37/9.65 bind(X8, sK4), % 59.37/9.65 bind(X9, sK3) % 59.37/9.65 ], % 59.37/9.65 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22, a23, a24])). % 59.37/9.65 % 59.37/9.65 % SZS output end IncompleteProof %------------------------------------------------------------------------------