%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : TOP022+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n021.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 21:35:22 EDT 2022 % Result : Theorem 0.20s 0.42s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : TOP022+1 : TPTP v8.1.0. Released v3.1.0. % 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.34 % Computer : n021.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 : 600 % 0.13/0.34 % DateTime : Sun May 29 08:29:12 EDT 2022 % 0.13/0.34 % CPUTime : % 0.20/0.42 % SZS status Theorem % 0.20/0.42 (* PROOF-FOUND *) % 0.20/0.42 (* BEGIN-PROOF *) % 0.20/0.42 % SZS output start Proof % 0.20/0.42 1. (path_connected T_0) (-. (path_connected T_0)) ### Axiom % 0.20/0.42 2. (a_member_of T_1 T_0) (-. (a_member_of T_1 T_0)) ### Axiom % 0.20/0.42 3. (a_member_of T_2 T_0) (-. (a_member_of T_2 T_0)) ### Axiom % 0.20/0.42 4. (a_path_from_to_in T_3 T_1 T_2 T_0) (-. (a_path_from_to_in T_3 T_1 T_2 T_0)) ### Axiom % 0.20/0.42 5. (-. (a_group_isomorphism_from_to (alpha_hat T_3) (first_homotop_grp T_0 T_1) (first_homotop_grp T_0 T_2))) (a_path_from_to_in T_3 T_1 T_2 T_0) ### Extension/test/m_8_2_1ctrp 4 % 0.20/0.42 6. (-. (isomorphic_groups (first_homotop_grp T_0 T_1) (first_homotop_grp T_0 T_2))) (a_path_from_to_in T_3 T_1 T_2 T_0) ### Extension/test/not_isomorphic_groups_defn_inst 5 % 0.20/0.42 7. (Ex P, (a_path_from_to_in P T_1 T_2 T_0)) (-. (isomorphic_groups (first_homotop_grp T_0 T_1) (first_homotop_grp T_0 T_2))) ### Exists 6 % 0.20/0.42 8. (((a_member_of T_1 T_0) /\ (a_member_of T_2 T_0)) => (Ex P, (a_path_from_to_in P T_1 T_2 T_0))) (-. (isomorphic_groups (first_homotop_grp T_0 T_1) (first_homotop_grp T_0 T_2))) (a_member_of T_2 T_0) (a_member_of T_1 T_0) ### DisjTree 2 3 7 % 0.20/0.42 9. ((path_connected T_0) <=> (((a_member_of T_1 T_0) /\ (a_member_of T_2 T_0)) => (Ex P, (a_path_from_to_in P T_1 T_2 T_0)))) (a_member_of T_1 T_0) (a_member_of T_2 T_0) (-. (isomorphic_groups (first_homotop_grp T_0 T_1) (first_homotop_grp T_0 T_2))) (path_connected T_0) ### Equiv 1 8 % 0.20/0.42 10. (All X1, ((path_connected T_0) <=> (((a_member_of T_1 T_0) /\ (a_member_of X1 T_0)) => (Ex P, (a_path_from_to_in P T_1 X1 T_0))))) (path_connected T_0) (-. (isomorphic_groups (first_homotop_grp T_0 T_1) (first_homotop_grp T_0 T_2))) (a_member_of T_2 T_0) (a_member_of T_1 T_0) ### All 9 % 0.20/0.42 11. (All X0, (All X1, ((path_connected T_0) <=> (((a_member_of X0 T_0) /\ (a_member_of X1 T_0)) => (Ex P, (a_path_from_to_in P X0 X1 T_0)))))) (a_member_of T_1 T_0) (a_member_of T_2 T_0) (-. (isomorphic_groups (first_homotop_grp T_0 T_1) (first_homotop_grp T_0 T_2))) (path_connected T_0) ### All 10 % 0.20/0.42 12. (All X, (All X0, (All X1, ((path_connected X) <=> (((a_member_of X0 X) /\ (a_member_of X1 X)) => (Ex P, (a_path_from_to_in P X0 X1 X))))))) (path_connected T_0) (-. (isomorphic_groups (first_homotop_grp T_0 T_1) (first_homotop_grp T_0 T_2))) (a_member_of T_2 T_0) (a_member_of T_1 T_0) ### All 11 % 0.20/0.42 13. (-. (((path_connected T_0) /\ ((a_member_of T_1 T_0) /\ (a_member_of T_2 T_0))) => (isomorphic_groups (first_homotop_grp T_0 T_1) (first_homotop_grp T_0 T_2)))) (All X, (All X0, (All X1, ((path_connected X) <=> (((a_member_of X0 X) /\ (a_member_of X1 X)) => (Ex P, (a_path_from_to_in P X0 X1 X))))))) ### ConjTree 12 % 0.20/0.42 14. (-. (All X1, (((path_connected T_0) /\ ((a_member_of T_1 T_0) /\ (a_member_of X1 T_0))) => (isomorphic_groups (first_homotop_grp T_0 T_1) (first_homotop_grp T_0 X1))))) (All X, (All X0, (All X1, ((path_connected X) <=> (((a_member_of X0 X) /\ (a_member_of X1 X)) => (Ex P, (a_path_from_to_in P X0 X1 X))))))) ### NotAllEx 13 % 0.20/0.42 15. (-. (All X0, (All X1, (((path_connected T_0) /\ ((a_member_of X0 T_0) /\ (a_member_of X1 T_0))) => (isomorphic_groups (first_homotop_grp T_0 X0) (first_homotop_grp T_0 X1)))))) (All X, (All X0, (All X1, ((path_connected X) <=> (((a_member_of X0 X) /\ (a_member_of X1 X)) => (Ex P, (a_path_from_to_in P X0 X1 X))))))) ### NotAllEx 14 % 0.20/0.42 16. (-. (All X, (All X0, (All X1, (((path_connected X) /\ ((a_member_of X0 X) /\ (a_member_of X1 X))) => (isomorphic_groups (first_homotop_grp X X0) (first_homotop_grp X X1))))))) (All X, (All X0, (All X1, ((path_connected X) <=> (((a_member_of X0 X) /\ (a_member_of X1 X)) => (Ex P, (a_path_from_to_in P X0 X1 X))))))) ### NotAllEx 15 % 0.20/0.42 % SZS output end Proof % 0.20/0.42 (* END-PROOF *) %------------------------------------------------------------------------------