%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : GEO210+2 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n005.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 06:31:08 EDT 2022 % Result : Theorem 16.51s 16.68s % Output : Proof 16.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GEO210+2 : TPTP v8.1.0. Released v3.3.0. % 0.07/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n005.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 : Sat Jun 18 04:47:23 EDT 2022 % 0.12/0.33 % CPUTime : % 16.51/16.68 % SZS status Theorem % 16.51/16.68 (* PROOF-FOUND *) % 16.51/16.68 (* BEGIN-PROOF *) % 16.51/16.68 % SZS output start Proof % 16.51/16.68 1. (distinct_lines T_0 (orthogonal_through_point T_1 T_2)) (-. (distinct_lines T_0 (orthogonal_through_point T_1 T_2))) ### Axiom % 16.51/16.68 2. (-. (apart_point_and_line T_2 T_0)) (apart_point_and_line T_2 T_0) ### Axiom % 16.51/16.68 3. (apart_point_and_line T_2 (orthogonal_through_point T_1 T_2)) (-. (apart_point_and_line T_2 (orthogonal_through_point T_1 T_2))) ### Axiom % 16.51/16.68 4. (All L, (-. (apart_point_and_line T_2 (orthogonal_through_point L T_2)))) (apart_point_and_line T_2 (orthogonal_through_point T_1 T_2)) ### All 3 % 16.51/16.68 5. (All A, (All L, (-. (apart_point_and_line A (orthogonal_through_point L A))))) (apart_point_and_line T_2 (orthogonal_through_point T_1 T_2)) ### All 4 % 16.51/16.68 6. (-. (unorthogonal_lines T_0 T_1)) (unorthogonal_lines T_0 T_1) ### Axiom % 16.51/16.68 7. (unorthogonal_lines (orthogonal_through_point T_1 T_2) T_1) (-. (unorthogonal_lines (orthogonal_through_point T_1 T_2) T_1)) ### Axiom % 16.51/16.68 8. (All L, (-. (unorthogonal_lines (orthogonal_through_point L T_2) L))) (unorthogonal_lines (orthogonal_through_point T_1 T_2) T_1) ### All 7 % 16.51/16.68 9. (All A, (All L, (-. (unorthogonal_lines (orthogonal_through_point L A) L)))) (unorthogonal_lines (orthogonal_through_point T_1 T_2) T_1) ### All 8 % 16.51/16.68 10. ((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))))) (All A, (All L, (-. (unorthogonal_lines (orthogonal_through_point L A) L)))) (-. (unorthogonal_lines T_0 T_1)) (All A, (All L, (-. (apart_point_and_line A (orthogonal_through_point L A))))) (-. (apart_point_and_line T_2 T_0)) (distinct_lines T_0 (orthogonal_through_point T_1 T_2)) ### DisjTree 1 2 5 6 9 % 16.51/16.68 11. (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)) (All A, (All L, (-. (apart_point_and_line A (orthogonal_through_point L A))))) (-. (unorthogonal_lines T_0 T_1)) (All A, (All L, (-. (unorthogonal_lines (orthogonal_through_point L A) L)))) ### All 10 % 16.51/16.68 12. (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))))))) (All A, (All L, (-. (unorthogonal_lines (orthogonal_through_point L A) L)))) (-. (unorthogonal_lines T_0 T_1)) (All A, (All L, (-. (apart_point_and_line A (orthogonal_through_point L A))))) (-. (apart_point_and_line T_2 T_0)) (distinct_lines T_0 (orthogonal_through_point T_1 T_2)) ### All 11 % 16.51/16.68 13. (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)) (All A, (All L, (-. (apart_point_and_line A (orthogonal_through_point L A))))) (-. (unorthogonal_lines T_0 T_1)) (All A, (All L, (-. (unorthogonal_lines (orthogonal_through_point L A) L)))) ### All 12 % 16.51/16.68 14. (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))))))))) (All A, (All L, (-. (unorthogonal_lines (orthogonal_through_point L A) L)))) (-. (unorthogonal_lines T_0 T_1)) (All A, (All L, (-. (apart_point_and_line A (orthogonal_through_point L A))))) (-. (apart_point_and_line T_2 T_0)) (distinct_lines T_0 (orthogonal_through_point T_1 T_2)) ### All 13 % 16.51/16.68 15. (-. (((-. (apart_point_and_line T_2 T_0)) /\ (-. (unorthogonal_lines T_0 T_1))) => (-. (distinct_lines T_0 (orthogonal_through_point T_1 T_2))))) (All A, (All L, (-. (apart_point_and_line A (orthogonal_through_point L A))))) (All A, (All L, (-. (unorthogonal_lines (orthogonal_through_point L A) L)))) (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 14 % 16.51/16.68 16. (-. (All M, (((-. (apart_point_and_line T_2 T_0)) /\ (-. (unorthogonal_lines T_0 M))) => (-. (distinct_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))))))))) (All A, (All L, (-. (unorthogonal_lines (orthogonal_through_point L A) L)))) (All A, (All L, (-. (apart_point_and_line A (orthogonal_through_point L A))))) ### NotAllEx 15 % 16.51/16.68 17. (-. (All L, (All M, (((-. (apart_point_and_line T_2 L)) /\ (-. (unorthogonal_lines L M))) => (-. (distinct_lines L (orthogonal_through_point M T_2))))))) (All A, (All L, (-. (apart_point_and_line A (orthogonal_through_point L A))))) (All A, (All L, (-. (unorthogonal_lines (orthogonal_through_point L A) L)))) (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 % 16.51/16.68 18. (-. (All A, (All L, (All M, (((-. (apart_point_and_line A L)) /\ (-. (unorthogonal_lines L M))) => (-. (distinct_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))))))))) (All A, (All L, (-. (unorthogonal_lines (orthogonal_through_point L A) L)))) (All A, (All L, (-. (apart_point_and_line A (orthogonal_through_point L A))))) ### NotAllEx 17 % 16.51/16.68 % SZS output end Proof % 16.51/16.68 (* END-PROOF *) %------------------------------------------------------------------------------