%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : GEO176+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 : n028.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 06:30:39 EDT 2022 % Result : Theorem 0.19s 0.41s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : GEO176+2 : TPTP v8.1.0. Released v3.3.0. % 0.06/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n028.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 01:49:58 EDT 2022 % 0.12/0.33 % CPUTime : % 0.19/0.41 % SZS status Theorem % 0.19/0.41 (* PROOF-FOUND *) % 0.19/0.41 (* BEGIN-PROOF *) % 0.19/0.41 % SZS output start Proof % 0.19/0.41 1. (convergent_lines T_0 T_1) (-. (convergent_lines T_0 T_1)) ### Axiom % 0.19/0.41 2. (apart_point_and_line T_2 T_0) (-. (apart_point_and_line T_2 T_0)) ### Axiom % 0.19/0.41 3. (-. ((apart_point_and_line T_2 T_0) \/ (apart_point_and_line T_2 T_1))) (apart_point_and_line T_2 T_0) ### NotOr 2 % 0.19/0.41 4. (-. (distinct_points T_2 (intersection_point T_0 T_1))) (distinct_points T_2 (intersection_point T_0 T_1)) ### Axiom % 0.19/0.41 5. ((convergent_lines T_0 T_1) => (((apart_point_and_line T_2 T_0) \/ (apart_point_and_line T_2 T_1)) => (distinct_points T_2 (intersection_point T_0 T_1)))) (-. (distinct_points T_2 (intersection_point T_0 T_1))) (apart_point_and_line T_2 T_0) (convergent_lines T_0 T_1) ### DisjTree 1 3 4 % 0.19/0.41 6. (All Z, ((convergent_lines T_0 T_1) => (((apart_point_and_line Z T_0) \/ (apart_point_and_line Z T_1)) => (distinct_points Z (intersection_point T_0 T_1))))) (convergent_lines T_0 T_1) (apart_point_and_line T_2 T_0) (-. (distinct_points T_2 (intersection_point T_0 T_1))) ### All 5 % 0.19/0.41 7. (All Y, (All Z, ((convergent_lines T_0 Y) => (((apart_point_and_line Z T_0) \/ (apart_point_and_line Z Y)) => (distinct_points Z (intersection_point T_0 Y)))))) (-. (distinct_points T_2 (intersection_point T_0 T_1))) (apart_point_and_line T_2 T_0) (convergent_lines T_0 T_1) ### All 6 % 0.19/0.41 8. (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))))))) (convergent_lines T_0 T_1) (apart_point_and_line T_2 T_0) (-. (distinct_points T_2 (intersection_point T_0 T_1))) ### All 7 % 0.19/0.41 9. (convergent_lines T_0 T_1) (-. (convergent_lines T_0 T_1)) ### Axiom % 0.19/0.41 10. (apart_point_and_line T_2 T_1) (-. (apart_point_and_line T_2 T_1)) ### Axiom % 0.19/0.41 11. (-. ((apart_point_and_line T_2 T_0) \/ (apart_point_and_line T_2 T_1))) (apart_point_and_line T_2 T_1) ### NotOr 10 % 0.19/0.41 12. (-. (distinct_points T_2 (intersection_point T_0 T_1))) (distinct_points T_2 (intersection_point T_0 T_1)) ### Axiom % 0.19/0.41 13. ((convergent_lines T_0 T_1) => (((apart_point_and_line T_2 T_0) \/ (apart_point_and_line T_2 T_1)) => (distinct_points T_2 (intersection_point T_0 T_1)))) (-. (distinct_points T_2 (intersection_point T_0 T_1))) (apart_point_and_line T_2 T_1) (convergent_lines T_0 T_1) ### DisjTree 9 11 12 % 0.19/0.41 14. (All Z, ((convergent_lines T_0 T_1) => (((apart_point_and_line Z T_0) \/ (apart_point_and_line Z T_1)) => (distinct_points Z (intersection_point T_0 T_1))))) (convergent_lines T_0 T_1) (apart_point_and_line T_2 T_1) (-. (distinct_points T_2 (intersection_point T_0 T_1))) ### All 13 % 0.19/0.41 15. (All Y, (All Z, ((convergent_lines T_0 Y) => (((apart_point_and_line Z T_0) \/ (apart_point_and_line Z Y)) => (distinct_points Z (intersection_point T_0 Y)))))) (-. (distinct_points T_2 (intersection_point T_0 T_1))) (apart_point_and_line T_2 T_1) (convergent_lines T_0 T_1) ### All 14 % 0.19/0.41 16. (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))))))) (convergent_lines T_0 T_1) (apart_point_and_line T_2 T_1) (-. (distinct_points T_2 (intersection_point T_0 T_1))) ### All 15 % 0.19/0.41 17. ((apart_point_and_line T_2 T_0) \/ (apart_point_and_line T_2 T_1)) (-. (distinct_points T_2 (intersection_point T_0 T_1))) (convergent_lines T_0 T_1) (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))))))) ### Or 8 16 % 0.19/0.41 18. (-. (((distinct_points T_2 T_3) /\ ((convergent_lines T_0 T_1) /\ ((apart_point_and_line T_2 T_0) \/ (apart_point_and_line T_2 T_1)))) => (distinct_points T_2 (intersection_point T_0 T_1)))) (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 17 % 0.19/0.41 19. (-. (All V, (((distinct_points T_2 T_3) /\ ((convergent_lines T_0 V) /\ ((apart_point_and_line T_2 T_0) \/ (apart_point_and_line T_2 V)))) => (distinct_points T_2 (intersection_point T_0 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 18 % 0.19/0.41 20. (-. (All U, (All V, (((distinct_points T_2 T_3) /\ ((convergent_lines U V) /\ ((apart_point_and_line T_2 U) \/ (apart_point_and_line T_2 V)))) => (distinct_points T_2 (intersection_point U 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 19 % 0.19/0.41 21. (-. (All Y, (All U, (All V, (((distinct_points T_2 Y) /\ ((convergent_lines U V) /\ ((apart_point_and_line T_2 U) \/ (apart_point_and_line T_2 V)))) => (distinct_points T_2 (intersection_point U 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 20 % 0.19/0.41 22. (-. (All X, (All Y, (All U, (All V, (((distinct_points X Y) /\ ((convergent_lines U V) /\ ((apart_point_and_line X U) \/ (apart_point_and_line X V)))) => (distinct_points X (intersection_point U 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 21 % 0.19/0.41 % SZS output end Proof % 0.19/0.41 (* END-PROOF *) %------------------------------------------------------------------------------