%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : TOP022+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n026.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 : Thu Jul 21 21:31:29 EDT 2022 % Result : Theorem 0.13s 0.36s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : TOP022+1 : TPTP v8.1.0. Released v3.1.0. % 0.08/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.35 % Computer : n026.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Sun May 29 08:47:09 EDT 2022 % 0.13/0.35 % CPUTime : % 0.13/0.36 % SZS status Theorem % 0.13/0.36 % SZS output begin IncompleteProof % 0.13/0.36 cnf(c0, axiom, % 0.13/0.36 ~isomorphic_groups(first_homotop_grp(sK2,sK3),first_homotop_grp(sK2,sK4))). % 0.13/0.36 cnf(c1, plain, % 0.13/0.36 ~isomorphic_groups(first_homotop_grp(sK2,sK3),first_homotop_grp(sK2,sK4)), % 0.13/0.36 inference(start, [], [c0])). % 0.13/0.36 % 0.13/0.36 cnf(c2, axiom, % 0.13/0.36 isomorphic_groups(X0,X1) | ~a_group_isomorphism_from_to(X2,X0,X1)). % 0.13/0.36 cnf(a0, assumption, % 0.13/0.36 first_homotop_grp(sK2,sK3) = X0). % 0.13/0.36 cnf(a1, assumption, % 0.13/0.36 first_homotop_grp(sK2,sK4) = X1). % 0.13/0.36 cnf(c3, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 0.13/0.36 cnf(c4, plain, % 0.13/0.36 ~a_group_isomorphism_from_to(X2,X0,X1), % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 0.13/0.36 % 0.13/0.36 cnf(c5, axiom, % 0.13/0.36 a_group_isomorphism_from_to(alpha_hat(X3),first_homotop_grp(X4,X5),first_homotop_grp(X4,X6)) | ~a_path_from_to_in(X3,X5,X6,X4)). % 0.13/0.36 cnf(a2, assumption, % 0.13/0.36 X2 = alpha_hat(X3)). % 0.13/0.36 cnf(a3, assumption, % 0.13/0.36 X0 = first_homotop_grp(X4,X5)). % 0.13/0.36 cnf(a4, assumption, % 0.13/0.36 X1 = first_homotop_grp(X4,X6)). % 0.13/0.36 cnf(c6, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a2, a3, a4])], [c4, c5])). % 0.13/0.36 cnf(c7, plain, % 0.13/0.36 ~a_path_from_to_in(X3,X5,X6,X4), % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a2, a3, a4])], [c4, c5])). % 0.13/0.36 % 0.13/0.36 cnf(c8, axiom, % 0.13/0.36 a_path_from_to_in(sK1(X7,X8,X9),X8,X9,X7) | ~a_member_of(X9,X7) | ~a_member_of(X8,X7) | ~path_connected(X7)). % 0.13/0.36 cnf(a5, assumption, % 0.13/0.36 X3 = sK1(X7,X8,X9)). % 0.13/0.36 cnf(a6, assumption, % 0.13/0.36 X5 = X8). % 0.13/0.36 cnf(a7, assumption, % 0.13/0.36 X6 = X9). % 0.13/0.36 cnf(a8, assumption, % 0.13/0.36 X4 = X7). % 0.13/0.36 cnf(c9, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a5, a6, a7, a8])], [c7, c8])). % 0.13/0.36 cnf(c10, plain, % 0.13/0.36 ~a_member_of(X9,X7) | ~a_member_of(X8,X7) | ~path_connected(X7), % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a5, a6, a7, a8])], [c7, c8])). % 0.13/0.36 % 0.13/0.36 cnf(c11, axiom, % 0.13/0.36 a_member_of(sK4,sK2)). % 0.13/0.36 cnf(a9, assumption, % 0.13/0.36 X9 = sK4). % 0.13/0.36 cnf(a10, assumption, % 0.13/0.36 X7 = sK2). % 0.13/0.36 cnf(c12, plain, % 0.13/0.36 ~a_member_of(X8,X7) | ~path_connected(X7), % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a9, a10])], [c10, c11])). % 0.13/0.36 cnf(c13, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a9, a10])], [c10, c11])). % 0.13/0.36 % 0.13/0.36 cnf(c14, axiom, % 0.13/0.36 a_member_of(sK3,sK2)). % 0.13/0.36 cnf(a11, assumption, % 0.13/0.36 X8 = sK3). % 0.13/0.36 cnf(a12, assumption, % 0.13/0.36 X7 = sK2). % 0.13/0.36 cnf(c15, plain, % 0.13/0.36 ~path_connected(X7), % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a11, a12])], [c12, c14])). % 0.13/0.36 cnf(c16, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a11, a12])], [c12, c14])). % 0.13/0.36 % 0.13/0.36 cnf(c17, axiom, % 0.13/0.36 path_connected(sK2)). % 0.13/0.36 cnf(a13, assumption, % 0.13/0.36 X7 = sK2). % 0.13/0.36 cnf(c18, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a13])], [c15, c17])). % 0.13/0.36 cnf(c19, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(strict_predicate_extension, [assumptions([a13])], [c15, c17])). % 0.13/0.36 % 0.13/0.36 cnf(c20, plain, % 0.13/0.36 $false, % 0.13/0.36 inference(constraint_solving, [ % 0.13/0.36 bind(X0, first_homotop_grp(sK2,sK3)), % 0.13/0.36 bind(X1, first_homotop_grp(sK2,sK4)), % 0.13/0.36 bind(X2, alpha_hat(X3)), % 0.13/0.36 bind(X3, sK1(X7,X8,X9)), % 0.13/0.36 bind(X4, sK2), % 0.13/0.36 bind(X5, sK3), % 0.13/0.36 bind(X6, sK4), % 0.13/0.36 bind(X7, sK2), % 0.13/0.36 bind(X8, sK3), % 0.13/0.36 bind(X9, sK4) % 0.13/0.36 ], % 0.13/0.36 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13])). % 0.13/0.36 % 0.13/0.36 % SZS output end IncompleteProof %------------------------------------------------------------------------------