%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : GEO210+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n020.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 : Sat Jul 16 06:31:09 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 % 0.10/0.12 % Problem : GEO210+3 : TPTP v8.1.0. Released v4.0.0. % 0.10/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.14/0.34 % Computer : n020.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 600 % 0.14/0.34 % DateTime : Fri Jun 17 18:14:04 EDT 2022 % 0.14/0.34 % 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. (distinct_lines T_0 (orthogonal_through_point T_1 T_2)) (-. (distinct_lines T_0 (orthogonal_through_point T_1 T_2))) ### Axiom % 0.20/0.42 2. (-. (apart_point_and_line T_2 T_0)) (apart_point_and_line T_2 T_0) ### Axiom % 0.20/0.42 3. (apart_point_and_line T_2 (orthogonal_through_point T_1 T_2)) ### Extension/test/ooc2 % 0.20/0.42 4. (-. (unorthogonal_lines T_0 T_1)) (unorthogonal_lines T_0 T_1) ### Axiom % 0.20/0.42 5. (unorthogonal_lines (orthogonal_through_point T_1 T_2) T_1) ### Extension/test/ooc1 % 0.20/0.42 6. ((distinct_lines T_0 (orthogonal_through_point T_1 T_2)) => ((apart_point_and_line T_2 T_0) \/ ((apart_point_and_line T_2 (orthogonal_through_point T_1 T_2)) \/ ((unorthogonal_lines T_0 T_1) \/ (unorthogonal_lines (orthogonal_through_point T_1 T_2) T_1))))) (-. (unorthogonal_lines T_0 T_1)) (-. (apart_point_and_line T_2 T_0)) (distinct_lines T_0 (orthogonal_through_point T_1 T_2)) ### DisjTree 1 2 3 4 5 % 0.20/0.42 7. (All N, ((distinct_lines T_0 (orthogonal_through_point T_1 T_2)) => ((apart_point_and_line T_2 T_0) \/ ((apart_point_and_line T_2 (orthogonal_through_point T_1 T_2)) \/ ((unorthogonal_lines T_0 N) \/ (unorthogonal_lines (orthogonal_through_point T_1 T_2) N)))))) (distinct_lines T_0 (orthogonal_through_point T_1 T_2)) (-. (apart_point_and_line T_2 T_0)) (-. (unorthogonal_lines T_0 T_1)) ### All 6 % 0.20/0.42 8. (All M, (All N, ((distinct_lines T_0 M) => ((apart_point_and_line T_2 T_0) \/ ((apart_point_and_line T_2 M) \/ ((unorthogonal_lines T_0 N) \/ (unorthogonal_lines M N))))))) (-. (unorthogonal_lines T_0 T_1)) (-. (apart_point_and_line T_2 T_0)) (distinct_lines T_0 (orthogonal_through_point T_1 T_2)) ### All 7 % 0.20/0.42 9. (All L, (All M, (All N, ((distinct_lines L M) => ((apart_point_and_line T_2 L) \/ ((apart_point_and_line T_2 M) \/ ((unorthogonal_lines L N) \/ (unorthogonal_lines M N)))))))) (distinct_lines T_0 (orthogonal_through_point T_1 T_2)) (-. (apart_point_and_line T_2 T_0)) (-. (unorthogonal_lines T_0 T_1)) ### All 8 % 0.20/0.42 10. (All A, (All L, (All M, (All N, ((distinct_lines L M) => ((apart_point_and_line A L) \/ ((apart_point_and_line A M) \/ ((unorthogonal_lines L N) \/ (unorthogonal_lines M N))))))))) (-. (unorthogonal_lines T_0 T_1)) (-. (apart_point_and_line T_2 T_0)) (distinct_lines T_0 (orthogonal_through_point T_1 T_2)) ### All 9 % 0.20/0.42 11. (-. (equal_lines T_0 (orthogonal_through_point T_1 T_2))) (-. (apart_point_and_line T_2 T_0)) (-. (unorthogonal_lines T_0 T_1)) (All A, (All L, (All M, (All N, ((distinct_lines L M) => ((apart_point_and_line A L) \/ ((apart_point_and_line A M) \/ ((unorthogonal_lines L N) \/ (unorthogonal_lines M N))))))))) ### Extension/test/not_ax2 10 % 0.20/0.42 12. (orthogonal_lines T_0 T_1) (All A, (All L, (All M, (All N, ((distinct_lines L M) => ((apart_point_and_line A L) \/ ((apart_point_and_line A M) \/ ((unorthogonal_lines L N) \/ (unorthogonal_lines M N))))))))) (-. (apart_point_and_line T_2 T_0)) (-. (equal_lines T_0 (orthogonal_through_point T_1 T_2))) ### Extension/test/a5 11 % 0.20/0.42 13. (incident_point_and_line T_2 T_0) (-. (equal_lines T_0 (orthogonal_through_point T_1 T_2))) (All A, (All L, (All M, (All N, ((distinct_lines L M) => ((apart_point_and_line A L) \/ ((apart_point_and_line A M) \/ ((unorthogonal_lines L N) \/ (unorthogonal_lines M N))))))))) (orthogonal_lines T_0 T_1) ### Extension/test/a4 12 % 0.20/0.42 14. (-. (((incident_point_and_line T_2 T_0) /\ (orthogonal_lines T_0 T_1)) => (equal_lines T_0 (orthogonal_through_point T_1 T_2)))) (All A, (All L, (All M, (All N, ((distinct_lines L M) => ((apart_point_and_line A L) \/ ((apart_point_and_line A M) \/ ((unorthogonal_lines L N) \/ (unorthogonal_lines M N))))))))) ### ConjTree 13 % 0.20/0.42 15. (-. (All M, (((incident_point_and_line T_2 T_0) /\ (orthogonal_lines T_0 M)) => (equal_lines T_0 (orthogonal_through_point M T_2))))) (All A, (All L, (All M, (All N, ((distinct_lines L M) => ((apart_point_and_line A L) \/ ((apart_point_and_line A M) \/ ((unorthogonal_lines L N) \/ (unorthogonal_lines M N))))))))) ### NotAllEx 14 % 0.20/0.42 16. (-. (All L, (All M, (((incident_point_and_line T_2 L) /\ (orthogonal_lines L M)) => (equal_lines L (orthogonal_through_point M T_2)))))) (All A, (All L, (All M, (All N, ((distinct_lines L M) => ((apart_point_and_line A L) \/ ((apart_point_and_line A M) \/ ((unorthogonal_lines L N) \/ (unorthogonal_lines M N))))))))) ### NotAllEx 15 % 0.20/0.42 17. (-. (All A, (All L, (All M, (((incident_point_and_line A L) /\ (orthogonal_lines L M)) => (equal_lines L (orthogonal_through_point M A))))))) (All A, (All L, (All M, (All N, ((distinct_lines L M) => ((apart_point_and_line A L) \/ ((apart_point_and_line A M) \/ ((unorthogonal_lines L N) \/ (unorthogonal_lines M N))))))))) ### NotAllEx 16 % 0.20/0.42 % SZS output end Proof % 0.20/0.42 (* END-PROOF *) %------------------------------------------------------------------------------