%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SEU320+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 : n022.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 0.19s 0.39s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SEU320+1 : TPTP v8.1.0. Released v3.3.0. % 0.07/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.33 % Computer : n022.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 11:19:31 EDT 2022 % 0.12/0.33 % CPUTime : % 0.19/0.39 % SZS status Theorem % 0.19/0.39 % SZS output begin IncompleteProof % 0.19/0.39 cnf(c0, axiom, % 0.19/0.39 top_str(sK3)). % 0.19/0.39 cnf(c1, plain, % 0.19/0.39 top_str(sK3), % 0.19/0.39 inference(start, [], [c0])). % 0.19/0.39 % 0.19/0.39 cnf(c2, axiom, % 0.19/0.39 closed_subset(X0,X1) | ~open_subset(subset_complement(the_carrier(X1),X0),X1) | ~element(X0,powerset(the_carrier(X1))) | ~top_str(X1)). % 0.19/0.39 cnf(a0, assumption, % 0.19/0.39 sK3 = X1). % 0.19/0.39 cnf(c3, plain, % 0.19/0.39 $false, % 0.19/0.39 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.19/0.39 cnf(c4, plain, % 0.19/0.39 closed_subset(X0,X1) | ~open_subset(subset_complement(the_carrier(X1),X0),X1) | ~element(X0,powerset(the_carrier(X1))), % 0.19/0.39 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.19/0.39 % 0.19/0.39 cnf(c5, axiom, % 0.19/0.39 ~closed_subset(subset_complement(the_carrier(sK3),sK4),sK3) | ~open_subset(sK4,sK3)). % 0.19/0.39 cnf(a1, assumption, % 0.19/0.39 X0 = subset_complement(the_carrier(sK3),sK4)). % 0.19/0.39 cnf(a2, assumption, % 0.19/0.39 X1 = sK3). % 0.19/0.39 cnf(c6, plain, % 0.19/0.39 ~open_subset(subset_complement(the_carrier(X1),X0),X1) | ~element(X0,powerset(the_carrier(X1))), % 0.19/0.39 inference(strict_predicate_extension, [assumptions([a1, a2])], [c4, c5])). % 0.19/0.39 cnf(c7, plain, % 0.19/0.39 ~open_subset(sK4,sK3), % 0.19/0.39 inference(strict_predicate_extension, [assumptions([a1, a2])], [c4, c5])). % 0.19/0.39 % 0.19/0.39 cnf(c8, axiom, % 0.19/0.39 open_subset(subset_complement(the_carrier(X2),X3),X2) | ~closed_subset(X3,X2) | ~element(X3,powerset(the_carrier(X2))) | ~top_str(X2)). % 0.19/0.39 cnf(a3, assumption, % 0.19/0.39 X4 = sK4). % 0.19/0.39 cnf(a4, assumption, % 0.19/0.39 X5 = sK3). % 0.19/0.39 cnf(c9, plain, % 0.19/0.39 $false, % 0.19/0.39 inference(lazy_predicate_extension, [assumptions([a3, a4])], [c7, c8])). % 0.19/0.39 cnf(c10, plain, % 0.19/0.39 ~closed_subset(X3,X2) | ~element(X3,powerset(the_carrier(X2))) | ~top_str(X2), % 0.19/0.39 inference(lazy_predicate_extension, [assumptions([a3, a4])], [c7, c8])). % 0.19/0.39 cnf(c11, plain, % 0.19/0.39 subset_complement(the_carrier(X2),X3) != X4 | X2 != X5, % 0.19/0.39 inference(lazy_predicate_extension, [assumptions([a3, a4])], [c7, c8])). % 0.19/0.39 % 0.19/0.39 cnf(c12, axiom, % 0.19/0.39 subset_complement(X6,subset_complement(X6,X7)) = X7 | ~element(X7,powerset(X6))). % 0.19/0.39 cnf(a5, assumption, % 0.19/0.39 subset_complement(the_carrier(X2),X3) = subset_complement(X6,subset_complement(X6,X7))). % 0.19/0.39 cnf(c13, plain, % 0.19/0.39 X2 != X5, % 0.19/0.39 inference(strict_function_extension, [assumptions([a5])], [c11, c12])). % 0.19/0.39 cnf(c14, plain, % 0.19/0.39 ~element(X7,powerset(X6)), % 0.19/0.39 inference(strict_function_extension, [assumptions([a5])], [c11, c12])). % 0.19/0.39 cnf(c15, plain, % 0.19/0.39 X8 != X7 | X8 != X4, % 0.19/0.39 inference(strict_function_extension, [assumptions([a5])], [c11, c12])). % 0.19/0.39 % 0.19/0.39 cnf(a6, assumption, % 0.19/0.39 X8 = X7). % 0.19/0.39 cnf(c16, plain, % 0.19/0.39 X8 != X4, % 0.19/0.39 inference(reflexivity, [assumptions([a6])], [c15])). % 0.19/0.39 % 0.19/0.39 cnf(a7, assumption, % 0.19/0.39 X8 = X4). % 0.19/0.39 cnf(c17, plain, % 0.19/0.39 $false, % 0.19/0.39 inference(reflexivity, [assumptions([a7])], [c16])). % 0.19/0.39 % 0.19/0.39 cnf(c18, axiom, % 0.19/0.39 element(sK4,powerset(the_carrier(sK3)))). % 0.19/0.39 cnf(a8, assumption, % 0.19/0.39 X7 = sK4). % 0.19/0.39 cnf(a9, assumption, % 0.19/0.39 powerset(X6) = powerset(the_carrier(sK3))). % 0.19/0.39 cnf(c19, plain, % 0.19/0.39 $false, % 0.19/0.39 inference(strict_predicate_extension, [assumptions([a8, a9])], [c14, c18])). % 0.19/0.39 cnf(c20, plain, % 0.19/0.39 $false, % 0.19/0.39 inference(strict_predicate_extension, [assumptions([a8, a9])], [c14, c18])). % 0.19/0.39 % 0.19/0.39 cnf(a10, assumption, % 0.19/0.39 X2 = X5). % 0.19/0.39 cnf(c21, plain, % 0.19/0.39 $false, % 0.19/0.39 inference(reflexivity, [assumptions([a10])], [c13])). % 0.19/0.39 % 0.19/0.39 cnf(c22, plain, % 0.19/0.39 closed_subset(X0,X1)). % 0.19/0.39 cnf(a11, assumption, % 0.19/0.39 X3 = X0). % 0.19/0.39 cnf(a12, assumption, % 0.19/0.39 X2 = X1). % 0.19/0.39 cnf(c23, plain, % 0.19/0.39 ~element(X3,powerset(the_carrier(X2))) | ~top_str(X2), % 0.19/0.39 inference(predicate_reduction, [assumptions([a11, a12])], [c10, c22])). % 0.19/0.39 % 0.19/0.39 cnf(c24, axiom, % 0.19/0.39 element(subset_complement(X9,X10),powerset(X9)) | ~element(X10,powerset(X9))). % 0.19/0.39 cnf(a13, assumption, % 0.19/0.39 X3 = subset_complement(X9,X10)). % 0.19/0.39 cnf(a14, assumption, % 0.19/0.39 powerset(the_carrier(X2)) = powerset(X9)). % 0.19/0.39 cnf(c25, plain, % 0.19/0.39 ~top_str(X2), % 0.19/0.39 inference(strict_predicate_extension, [assumptions([a13, a14])], [c23, c24])). % 0.19/0.39 cnf(c26, plain, % 0.19/0.39 ~element(X10,powerset(X9)), % 0.19/0.39 inference(strict_predicate_extension, [assumptions([a13, a14])], [c23, c24])). % 0.19/0.39 % 0.19/0.39 cnf(c27, plain, % 0.19/0.39 element(X7,powerset(X6))). % 0.19/0.39 cnf(a15, assumption, % 0.19/0.39 X10 = X7). % 0.19/0.39 cnf(a16, assumption, % 0.19/0.39 powerset(X9) = powerset(X6)). % 0.19/0.39 cnf(c28, plain, % 0.19/0.39 $false, % 0.19/0.39 inference(predicate_reduction, [assumptions([a15, a16])], [c26, c27])). % 0.19/0.39 % 0.19/0.39 cnf(c29, plain, % 0.19/0.39 top_str(sK3)). % 0.19/0.39 cnf(a17, assumption, % 0.19/0.39 X2 = sK3). % 0.19/0.39 cnf(c30, plain, % 0.19/0.39 $false, % 0.19/0.39 inference(predicate_reduction, [assumptions([a17])], [c25, c29])). % 0.19/0.39 % 0.19/0.39 cnf(c31, plain, % 0.19/0.39 subset_complement(the_carrier(X2),X3) = X4). % 0.19/0.39 cnf(a18, assumption, % 0.19/0.39 subset_complement(the_carrier(X1),X0) = subset_complement(the_carrier(X2),X3)). % 0.19/0.39 cnf(c32, plain, % 0.19/0.39 ~element(X0,powerset(the_carrier(X1))), % 0.19/0.39 inference(equality_reduction, [assumptions([a18])], [c6, c31])). % 0.19/0.39 cnf(c33, plain, % 0.19/0.39 ~open_subset(X4,X1), % 0.19/0.39 inference(equality_reduction, [assumptions([a18])], [c6, c31])). % 0.19/0.39 % 0.19/0.39 cnf(c34, axiom, % 0.19/0.39 closed_subset(subset_complement(the_carrier(sK3),sK4),sK3) | open_subset(sK4,sK3)). % 0.19/0.39 cnf(a19, assumption, % 0.19/0.39 X4 = sK4). % 0.19/0.39 cnf(a20, assumption, % 0.19/0.39 X1 = sK3). % 0.19/0.39 cnf(c35, plain, % 0.19/0.39 $false, % 0.19/0.39 inference(strict_predicate_extension, [assumptions([a19, a20])], [c33, c34])). % 0.19/0.39 cnf(c36, plain, % 0.19/0.39 closed_subset(subset_complement(the_carrier(sK3),sK4),sK3), % 0.19/0.39 inference(strict_predicate_extension, [assumptions([a19, a20])], [c33, c34])). % 0.19/0.39 % 0.19/0.39 cnf(c37, plain, % 0.19/0.39 ~closed_subset(X0,X1)). % 0.19/0.39 cnf(a21, assumption, % 0.19/0.39 subset_complement(the_carrier(sK3),sK4) = X0). % 0.19/0.39 cnf(a22, assumption, % 0.19/0.39 sK3 = X1). % 0.19/0.39 cnf(c38, plain, % 0.19/0.39 $false, % 0.19/0.39 inference(predicate_reduction, [assumptions([a21, a22])], [c36, c37])). % 0.19/0.39 % 0.19/0.39 cnf(c39, plain, % 0.19/0.39 element(X3,powerset(the_carrier(X2)))). % 0.19/0.39 cnf(a23, assumption, % 0.19/0.39 X0 = X3). % 0.19/0.39 cnf(a24, assumption, % 0.19/0.39 powerset(the_carrier(X1)) = powerset(the_carrier(X2))). % 0.19/0.39 cnf(c40, plain, % 0.19/0.39 $false, % 0.19/0.39 inference(predicate_reduction, [assumptions([a23, a24])], [c32, c39])). % 0.19/0.39 % 0.19/0.39 cnf(c41, plain, % 0.19/0.39 $false, % 0.19/0.39 inference(constraint_solving, [ % 0.19/0.39 bind(X0, subset_complement(the_carrier(sK3),sK4)), % 0.19/0.39 bind(X1, sK3), % 0.19/0.39 bind(X2, sK3), % 0.19/0.39 bind(X3, subset_complement(X6,X7)), % 0.19/0.39 bind(X4, sK4), % 0.19/0.39 bind(X5, sK3), % 0.19/0.39 bind(X6, the_carrier(X2)), % 0.19/0.39 bind(X7, sK4), % 0.19/0.39 bind(X8, sK4), % 0.19/0.39 bind(X9, the_carrier(X2)), % 0.19/0.39 bind(X10, sK4) % 0.19/0.39 ], % 0.19/0.39 [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])). % 0.19/0.39 % 0.19/0.39 % SZS output end IncompleteProof %------------------------------------------------------------------------------