%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : GEO172+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 06:30:35 EDT 2022 % Result : Theorem 0.18s 0.46s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : GEO172+2 : TPTP v8.1.0. Released v3.3.0. % 0.10/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.32 % Computer : n005.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 600 % 0.12/0.32 % DateTime : Sat Jun 18 04:01:38 EDT 2022 % 0.12/0.32 % CPUTime : % 0.18/0.46 % SZS status Theorem % 0.18/0.46 (* PROOF-FOUND *) % 0.18/0.46 (* BEGIN-PROOF *) % 0.18/0.46 % SZS output start Proof % 0.18/0.46 1. (distinct_points T_0 (intersection_point T_1 T_2)) (-. (distinct_points T_0 (intersection_point T_1 T_2))) ### Axiom % 0.18/0.46 2. (convergent_lines T_1 T_2) (-. (convergent_lines T_1 T_2)) ### Axiom % 0.18/0.46 3. (-. (distinct_lines T_1 T_2)) (convergent_lines T_1 T_2) ### Extension/test/ceq3ctrp 2 % 0.18/0.46 4. (-. (apart_point_and_line T_0 T_1)) (apart_point_and_line T_0 T_1) ### Axiom % 0.18/0.46 5. (-. (apart_point_and_line T_0 T_2)) (apart_point_and_line T_0 T_2) ### Axiom % 0.18/0.46 6. (convergent_lines T_1 T_2) (-. (convergent_lines T_1 T_2)) ### Axiom % 0.18/0.46 7. (apart_point_and_line (intersection_point T_1 T_2) T_1) (-. (apart_point_and_line (intersection_point T_1 T_2) T_1)) ### Axiom % 0.18/0.46 8. (-. ((apart_point_and_line (intersection_point T_1 T_2) T_1) \/ (apart_point_and_line (intersection_point T_1 T_2) T_2))) (apart_point_and_line (intersection_point T_1 T_2) T_1) ### NotOr 7 % 0.18/0.46 9. (distinct_points (intersection_point T_1 T_2) (intersection_point T_1 T_2)) ### Extension/test/apart1 % 0.18/0.46 10. ((convergent_lines T_1 T_2) => (((apart_point_and_line (intersection_point T_1 T_2) T_1) \/ (apart_point_and_line (intersection_point T_1 T_2) T_2)) => (distinct_points (intersection_point T_1 T_2) (intersection_point T_1 T_2)))) (apart_point_and_line (intersection_point T_1 T_2) T_1) (convergent_lines T_1 T_2) ### DisjTree 6 8 9 % 0.18/0.46 11. (All Z, ((convergent_lines T_1 T_2) => (((apart_point_and_line Z T_1) \/ (apart_point_and_line Z T_2)) => (distinct_points Z (intersection_point T_1 T_2))))) (convergent_lines T_1 T_2) (apart_point_and_line (intersection_point T_1 T_2) T_1) ### All 10 % 0.18/0.46 12. (convergent_lines T_1 T_2) (-. (convergent_lines T_1 T_2)) ### Axiom % 0.18/0.46 13. (apart_point_and_line (intersection_point T_1 T_2) T_2) (-. (apart_point_and_line (intersection_point T_1 T_2) T_2)) ### Axiom % 0.18/0.46 14. (-. ((apart_point_and_line (intersection_point T_1 T_2) T_1) \/ (apart_point_and_line (intersection_point T_1 T_2) T_2))) (apart_point_and_line (intersection_point T_1 T_2) T_2) ### NotOr 13 % 0.18/0.46 15. ((convergent_lines T_1 T_2) => (((apart_point_and_line (intersection_point T_1 T_2) T_1) \/ (apart_point_and_line (intersection_point T_1 T_2) T_2)) => (distinct_points (intersection_point T_1 T_2) (intersection_point T_1 T_2)))) (apart_point_and_line (intersection_point T_1 T_2) T_2) (convergent_lines T_1 T_2) ### DisjTree 12 14 9 % 0.18/0.46 16. (All Z, ((convergent_lines T_1 T_2) => (((apart_point_and_line Z T_1) \/ (apart_point_and_line Z T_2)) => (distinct_points Z (intersection_point T_1 T_2))))) (convergent_lines T_1 T_2) (apart_point_and_line (intersection_point T_1 T_2) T_2) ### All 15 % 0.18/0.46 17. (((distinct_points T_0 (intersection_point T_1 T_2)) /\ (distinct_lines T_1 T_2)) => ((apart_point_and_line T_0 T_1) \/ ((apart_point_and_line T_0 T_2) \/ ((apart_point_and_line (intersection_point T_1 T_2) T_1) \/ (apart_point_and_line (intersection_point T_1 T_2) T_2))))) (All Z, ((convergent_lines T_1 T_2) => (((apart_point_and_line Z T_1) \/ (apart_point_and_line Z T_2)) => (distinct_points Z (intersection_point T_1 T_2))))) (-. (apart_point_and_line T_0 T_2)) (-. (apart_point_and_line T_0 T_1)) (convergent_lines T_1 T_2) (distinct_points T_0 (intersection_point T_1 T_2)) ### DisjTree 1 3 4 5 11 16 % 0.18/0.46 18. (All V, (((distinct_points T_0 (intersection_point T_1 T_2)) /\ (distinct_lines T_1 V)) => ((apart_point_and_line T_0 T_1) \/ ((apart_point_and_line T_0 V) \/ ((apart_point_and_line (intersection_point T_1 T_2) T_1) \/ (apart_point_and_line (intersection_point T_1 T_2) V)))))) (distinct_points T_0 (intersection_point T_1 T_2)) (convergent_lines T_1 T_2) (-. (apart_point_and_line T_0 T_1)) (-. (apart_point_and_line T_0 T_2)) (All Z, ((convergent_lines T_1 T_2) => (((apart_point_and_line Z T_1) \/ (apart_point_and_line Z T_2)) => (distinct_points Z (intersection_point T_1 T_2))))) ### All 17 % 0.18/0.46 19. (All U, (All V, (((distinct_points T_0 (intersection_point T_1 T_2)) /\ (distinct_lines U V)) => ((apart_point_and_line T_0 U) \/ ((apart_point_and_line T_0 V) \/ ((apart_point_and_line (intersection_point T_1 T_2) U) \/ (apart_point_and_line (intersection_point T_1 T_2) V))))))) (All Z, ((convergent_lines T_1 T_2) => (((apart_point_and_line Z T_1) \/ (apart_point_and_line Z T_2)) => (distinct_points Z (intersection_point T_1 T_2))))) (-. (apart_point_and_line T_0 T_2)) (-. (apart_point_and_line T_0 T_1)) (convergent_lines T_1 T_2) (distinct_points T_0 (intersection_point T_1 T_2)) ### All 18 % 0.18/0.46 20. (All Y, (All U, (All V, (((distinct_points T_0 Y) /\ (distinct_lines U V)) => ((apart_point_and_line T_0 U) \/ ((apart_point_and_line T_0 V) \/ ((apart_point_and_line Y U) \/ (apart_point_and_line Y V)))))))) (distinct_points T_0 (intersection_point T_1 T_2)) (convergent_lines T_1 T_2) (-. (apart_point_and_line T_0 T_1)) (-. (apart_point_and_line T_0 T_2)) (All Z, ((convergent_lines T_1 T_2) => (((apart_point_and_line Z T_1) \/ (apart_point_and_line Z T_2)) => (distinct_points Z (intersection_point T_1 T_2))))) ### All 19 % 0.18/0.46 21. (All X, (All Y, (All U, (All V, (((distinct_points X Y) /\ (distinct_lines U V)) => ((apart_point_and_line X U) \/ ((apart_point_and_line X V) \/ ((apart_point_and_line Y U) \/ (apart_point_and_line Y V))))))))) (All Z, ((convergent_lines T_1 T_2) => (((apart_point_and_line Z T_1) \/ (apart_point_and_line Z T_2)) => (distinct_points Z (intersection_point T_1 T_2))))) (-. (apart_point_and_line T_0 T_2)) (-. (apart_point_and_line T_0 T_1)) (convergent_lines T_1 T_2) (distinct_points T_0 (intersection_point T_1 T_2)) ### All 20 % 0.18/0.46 22. (All Y, (All Z, ((convergent_lines T_1 Y) => (((apart_point_and_line Z T_1) \/ (apart_point_and_line Z Y)) => (distinct_points Z (intersection_point T_1 Y)))))) (distinct_points T_0 (intersection_point T_1 T_2)) (convergent_lines T_1 T_2) (-. (apart_point_and_line T_0 T_1)) (-. (apart_point_and_line T_0 T_2)) (All X, (All Y, (All U, (All V, (((distinct_points X Y) /\ (distinct_lines U V)) => ((apart_point_and_line X U) \/ ((apart_point_and_line X V) \/ ((apart_point_and_line Y U) \/ (apart_point_and_line Y V))))))))) ### All 21 % 0.18/0.46 23. (All X, (All Y, (All Z, ((convergent_lines X Y) => (((apart_point_and_line Z X) \/ (apart_point_and_line Z Y)) => (distinct_points Z (intersection_point X Y))))))) (All X, (All Y, (All U, (All V, (((distinct_points X Y) /\ (distinct_lines U V)) => ((apart_point_and_line X U) \/ ((apart_point_and_line X V) \/ ((apart_point_and_line Y U) \/ (apart_point_and_line Y V))))))))) (-. (apart_point_and_line T_0 T_2)) (-. (apart_point_and_line T_0 T_1)) (convergent_lines T_1 T_2) (distinct_points T_0 (intersection_point T_1 T_2)) ### All 22 % 0.18/0.46 24. (-. (((convergent_lines T_1 T_2) /\ ((-. (apart_point_and_line T_0 T_1)) /\ (-. (apart_point_and_line T_0 T_2)))) => (-. (distinct_points T_0 (intersection_point T_1 T_2))))) (All X, (All Y, (All U, (All V, (((distinct_points X Y) /\ (distinct_lines U V)) => ((apart_point_and_line X U) \/ ((apart_point_and_line X V) \/ ((apart_point_and_line Y U) \/ (apart_point_and_line Y V))))))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => (((apart_point_and_line Z X) \/ (apart_point_and_line Z Y)) => (distinct_points Z (intersection_point X Y))))))) ### ConjTree 23 % 0.18/0.46 25. (-. (All Z, (((convergent_lines T_1 T_2) /\ ((-. (apart_point_and_line Z T_1)) /\ (-. (apart_point_and_line Z T_2)))) => (-. (distinct_points Z (intersection_point T_1 T_2)))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => (((apart_point_and_line Z X) \/ (apart_point_and_line Z Y)) => (distinct_points Z (intersection_point X Y))))))) (All X, (All Y, (All U, (All V, (((distinct_points X Y) /\ (distinct_lines U V)) => ((apart_point_and_line X U) \/ ((apart_point_and_line X V) \/ ((apart_point_and_line Y U) \/ (apart_point_and_line Y V))))))))) ### NotAllEx 24 % 0.18/0.46 26. (-. (All Y, (All Z, (((convergent_lines T_1 Y) /\ ((-. (apart_point_and_line Z T_1)) /\ (-. (apart_point_and_line Z Y)))) => (-. (distinct_points Z (intersection_point T_1 Y))))))) (All X, (All Y, (All U, (All V, (((distinct_points X Y) /\ (distinct_lines U V)) => ((apart_point_and_line X U) \/ ((apart_point_and_line X V) \/ ((apart_point_and_line Y U) \/ (apart_point_and_line Y V))))))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => (((apart_point_and_line Z X) \/ (apart_point_and_line Z Y)) => (distinct_points Z (intersection_point X Y))))))) ### NotAllEx 25 % 0.18/0.46 27. (-. (All X, (All Y, (All Z, (((convergent_lines X Y) /\ ((-. (apart_point_and_line Z X)) /\ (-. (apart_point_and_line Z Y)))) => (-. (distinct_points Z (intersection_point X Y)))))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => (((apart_point_and_line Z X) \/ (apart_point_and_line Z Y)) => (distinct_points Z (intersection_point X Y))))))) (All X, (All Y, (All U, (All V, (((distinct_points X Y) /\ (distinct_lines U V)) => ((apart_point_and_line X U) \/ ((apart_point_and_line X V) \/ ((apart_point_and_line Y U) \/ (apart_point_and_line Y V))))))))) ### NotAllEx 26 % 0.18/0.46 % SZS output end Proof % 0.18/0.46 (* END-PROOF *) %------------------------------------------------------------------------------