%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : GEO206+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 : n018.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 06:31:05 EDT 2022 % Result : Theorem 9.12s 9.32s % Output : Proof 9.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO206+2 : TPTP v8.1.0. Released v3.3.0. % 0.12/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.34 % Computer : n018.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 : Fri Jun 17 15:48:32 EDT 2022 % 0.13/0.34 % CPUTime : % 9.12/9.32 % SZS status Theorem % 9.12/9.32 (* PROOF-FOUND *) % 9.12/9.32 (* BEGIN-PROOF *) % 9.12/9.32 % SZS output start Proof % 9.12/9.32 1. (distinct_lines T_0 (parallel_through_point T_1 T_2)) (-. (distinct_lines T_0 (parallel_through_point T_1 T_2))) ### Axiom % 9.12/9.32 2. (-. (apart_point_and_line T_2 T_0)) (apart_point_and_line T_2 T_0) ### Axiom % 9.12/9.32 3. (apart_point_and_line T_2 (parallel_through_point T_1 T_2)) (-. (apart_point_and_line T_2 (parallel_through_point T_1 T_2))) ### Axiom % 9.12/9.32 4. (All Y, (-. (apart_point_and_line T_2 (parallel_through_point Y T_2)))) (apart_point_and_line T_2 (parallel_through_point T_1 T_2)) ### All 3 % 9.12/9.32 5. (All X, (All Y, (-. (apart_point_and_line X (parallel_through_point Y X))))) (apart_point_and_line T_2 (parallel_through_point T_1 T_2)) ### All 4 % 9.12/9.32 6. (convergent_lines T_0 (parallel_through_point T_1 T_2)) (-. (convergent_lines T_0 (parallel_through_point T_1 T_2))) ### Axiom % 9.12/9.32 7. (-. (convergent_lines T_0 T_1)) (convergent_lines T_0 T_1) ### Axiom % 9.12/9.32 8. (convergent_lines (parallel_through_point T_1 T_2) T_1) (-. (convergent_lines (parallel_through_point T_1 T_2) T_1)) ### Axiom % 9.12/9.32 9. (All Y, (-. (convergent_lines (parallel_through_point Y T_2) Y))) (convergent_lines (parallel_through_point T_1 T_2) T_1) ### All 8 % 9.12/9.32 10. (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) (convergent_lines (parallel_through_point T_1 T_2) T_1) ### All 9 % 9.12/9.32 11. ((convergent_lines T_0 (parallel_through_point T_1 T_2)) => ((convergent_lines T_0 T_1) \/ (convergent_lines (parallel_through_point T_1 T_2) T_1))) (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) (-. (convergent_lines T_0 T_1)) (convergent_lines T_0 (parallel_through_point T_1 T_2)) ### DisjTree 6 7 10 % 9.12/9.32 12. (All Z, ((convergent_lines T_0 (parallel_through_point T_1 T_2)) => ((convergent_lines T_0 Z) \/ (convergent_lines (parallel_through_point T_1 T_2) Z)))) (convergent_lines T_0 (parallel_through_point T_1 T_2)) (-. (convergent_lines T_0 T_1)) (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) ### All 11 % 9.12/9.32 13. (All Y, (All Z, ((convergent_lines T_0 Y) => ((convergent_lines T_0 Z) \/ (convergent_lines Y Z))))) (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) (-. (convergent_lines T_0 T_1)) (convergent_lines T_0 (parallel_through_point T_1 T_2)) ### All 12 % 9.12/9.32 14. (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (convergent_lines T_0 (parallel_through_point T_1 T_2)) (-. (convergent_lines T_0 T_1)) (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) ### All 13 % 9.12/9.32 15. ((distinct_lines T_0 (parallel_through_point T_1 T_2)) => ((apart_point_and_line T_2 T_0) \/ ((apart_point_and_line T_2 (parallel_through_point T_1 T_2)) \/ (convergent_lines T_0 (parallel_through_point T_1 T_2))))) (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) (-. (convergent_lines T_0 T_1)) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All X, (All Y, (-. (apart_point_and_line X (parallel_through_point Y X))))) (-. (apart_point_and_line T_2 T_0)) (distinct_lines T_0 (parallel_through_point T_1 T_2)) ### DisjTree 1 2 5 14 % 9.12/9.32 16. (All Z, ((distinct_lines T_0 Z) => ((apart_point_and_line T_2 T_0) \/ ((apart_point_and_line T_2 Z) \/ (convergent_lines T_0 Z))))) (distinct_lines T_0 (parallel_through_point T_1 T_2)) (-. (apart_point_and_line T_2 T_0)) (All X, (All Y, (-. (apart_point_and_line X (parallel_through_point Y X))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (-. (convergent_lines T_0 T_1)) (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) ### All 15 % 9.12/9.32 17. (All Y, (All Z, ((distinct_lines Y Z) => ((apart_point_and_line T_2 Y) \/ ((apart_point_and_line T_2 Z) \/ (convergent_lines Y Z)))))) (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) (-. (convergent_lines T_0 T_1)) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All X, (All Y, (-. (apart_point_and_line X (parallel_through_point Y X))))) (-. (apart_point_and_line T_2 T_0)) (distinct_lines T_0 (parallel_through_point T_1 T_2)) ### All 16 % 9.12/9.32 18. (All X, (All Y, (All Z, ((distinct_lines Y Z) => ((apart_point_and_line X Y) \/ ((apart_point_and_line X Z) \/ (convergent_lines Y Z))))))) (distinct_lines T_0 (parallel_through_point T_1 T_2)) (-. (apart_point_and_line T_2 T_0)) (All X, (All Y, (-. (apart_point_and_line X (parallel_through_point Y X))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (-. (convergent_lines T_0 T_1)) (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) ### All 17 % 9.12/9.32 19. (-. (((-. (apart_point_and_line T_2 T_0)) /\ (-. (convergent_lines T_0 T_1))) => (-. (distinct_lines T_0 (parallel_through_point T_1 T_2))))) (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All X, (All Y, (-. (apart_point_and_line X (parallel_through_point Y X))))) (All X, (All Y, (All Z, ((distinct_lines Y Z) => ((apart_point_and_line X Y) \/ ((apart_point_and_line X Z) \/ (convergent_lines Y Z))))))) ### ConjTree 18 % 9.12/9.32 20. (-. (All Z, (((-. (apart_point_and_line T_2 T_0)) /\ (-. (convergent_lines T_0 Z))) => (-. (distinct_lines T_0 (parallel_through_point Z T_2)))))) (All X, (All Y, (All Z, ((distinct_lines Y Z) => ((apart_point_and_line X Y) \/ ((apart_point_and_line X Z) \/ (convergent_lines Y Z))))))) (All X, (All Y, (-. (apart_point_and_line X (parallel_through_point Y X))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) ### NotAllEx 19 % 9.12/9.32 21. (-. (All Y, (All Z, (((-. (apart_point_and_line T_2 Y)) /\ (-. (convergent_lines Y Z))) => (-. (distinct_lines Y (parallel_through_point Z T_2))))))) (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All X, (All Y, (-. (apart_point_and_line X (parallel_through_point Y X))))) (All X, (All Y, (All Z, ((distinct_lines Y Z) => ((apart_point_and_line X Y) \/ ((apart_point_and_line X Z) \/ (convergent_lines Y Z))))))) ### NotAllEx 20 % 9.12/9.32 22. (-. (All X, (All Y, (All Z, (((-. (apart_point_and_line X Y)) /\ (-. (convergent_lines Y Z))) => (-. (distinct_lines Y (parallel_through_point Z X)))))))) (All X, (All Y, (All Z, ((distinct_lines Y Z) => ((apart_point_and_line X Y) \/ ((apart_point_and_line X Z) \/ (convergent_lines Y Z))))))) (All X, (All Y, (-. (apart_point_and_line X (parallel_through_point Y X))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All X, (All Y, (-. (convergent_lines (parallel_through_point Y X) Y)))) ### NotAllEx 21 % 9.12/9.32 % SZS output end Proof % 9.12/9.32 (* END-PROOF *) %------------------------------------------------------------------------------