%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : GEO176+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 : n019.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 0.45s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO176+3 : TPTP v8.1.0. Released v4.0.0. % 0.00/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n019.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 : Fri Jun 17 22:40:54 EDT 2022 % 0.12/0.33 % CPUTime : % 0.19/0.45 % SZS status Theorem % 0.19/0.45 (* PROOF-FOUND *) % 0.19/0.45 (* BEGIN-PROOF *) % 0.19/0.45 % SZS output start Proof % 0.19/0.45 1. (apart_point_and_line T_0 T_1) (-. (apart_point_and_line T_0 T_1)) ### Axiom % 0.19/0.45 2. (apart_point_and_line T_0 T_1) (-. (apart_point_and_line T_0 T_1)) ### Axiom % 0.19/0.45 3. (-. (distinct_points T_0 (intersection_point T_1 T_2))) (distinct_points T_0 (intersection_point T_1 T_2)) ### Axiom % 0.19/0.45 4. (distinct_lines T_1 T_2) (-. (distinct_lines T_1 T_2)) ### Axiom % 0.19/0.45 5. (-. (convergent_lines T_1 T_2)) (distinct_lines T_1 T_2) ### Extension/test/p1ctrp 4 % 0.19/0.45 6. (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 % 0.19/0.45 7. ((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_1) (distinct_lines T_1 T_2) ### Imply 5 6 % 0.19/0.45 8. (All Y, ((convergent_lines T_1 Y) => (-. (apart_point_and_line (intersection_point T_1 Y) T_1)))) (distinct_lines T_1 T_2) (apart_point_and_line (intersection_point T_1 T_2) T_1) ### All 7 % 0.19/0.45 9. ((apart_point_and_line T_0 T_1) => ((distinct_points T_0 (intersection_point T_1 T_2)) \/ (apart_point_and_line (intersection_point T_1 T_2) T_1))) (distinct_lines T_1 T_2) (All Y, ((convergent_lines T_1 Y) => (-. (apart_point_and_line (intersection_point T_1 Y) T_1)))) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (apart_point_and_line T_0 T_1) ### DisjTree 2 3 8 % 0.19/0.45 10. (All Z, ((apart_point_and_line T_0 T_1) => ((distinct_points T_0 Z) \/ (apart_point_and_line Z T_1)))) (apart_point_and_line T_0 T_1) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (All Y, ((convergent_lines T_1 Y) => (-. (apart_point_and_line (intersection_point T_1 Y) T_1)))) (distinct_lines T_1 T_2) ### All 9 % 0.19/0.45 11. (-. (apart_point_and_line T_0 T_2)) (apart_point_and_line T_0 T_2) ### Axiom % 0.19/0.45 12. ((apart_point_and_line T_0 T_1) => ((distinct_lines T_1 T_2) \/ (apart_point_and_line T_0 T_2))) (-. (apart_point_and_line T_0 T_2)) (All Y, ((convergent_lines T_1 Y) => (-. (apart_point_and_line (intersection_point T_1 Y) T_1)))) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (All Z, ((apart_point_and_line T_0 T_1) => ((distinct_points T_0 Z) \/ (apart_point_and_line Z T_1)))) (apart_point_and_line T_0 T_1) ### DisjTree 1 10 11 % 0.19/0.45 13. (All Z, ((apart_point_and_line T_0 T_1) => ((distinct_lines T_1 Z) \/ (apart_point_and_line T_0 Z)))) (apart_point_and_line T_0 T_1) (All Z, ((apart_point_and_line T_0 T_1) => ((distinct_points T_0 Z) \/ (apart_point_and_line Z T_1)))) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (All Y, ((convergent_lines T_1 Y) => (-. (apart_point_and_line (intersection_point T_1 Y) T_1)))) (-. (apart_point_and_line T_0 T_2)) ### All 12 % 0.19/0.45 14. (-. (distinct_points T_0 (intersection_point T_1 T_2))) (distinct_points T_0 (intersection_point T_1 T_2)) ### Axiom % 0.19/0.45 15. (-. (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 % 0.19/0.45 16. ((apart_point_and_line T_0 T_2) => ((distinct_points T_0 (intersection_point T_1 T_2)) \/ (apart_point_and_line (intersection_point T_1 T_2) T_2))) (-. (apart_point_and_line (intersection_point T_1 T_2) T_2)) (All Y, ((convergent_lines T_1 Y) => (-. (apart_point_and_line (intersection_point T_1 Y) T_1)))) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (All Z, ((apart_point_and_line T_0 T_1) => ((distinct_points T_0 Z) \/ (apart_point_and_line Z T_1)))) (apart_point_and_line T_0 T_1) (All Z, ((apart_point_and_line T_0 T_1) => ((distinct_lines T_1 Z) \/ (apart_point_and_line T_0 Z)))) ### DisjTree 13 14 15 % 0.19/0.45 17. (All Z, ((apart_point_and_line T_0 T_2) => ((distinct_points T_0 Z) \/ (apart_point_and_line Z T_2)))) (All Z, ((apart_point_and_line T_0 T_1) => ((distinct_lines T_1 Z) \/ (apart_point_and_line T_0 Z)))) (apart_point_and_line T_0 T_1) (All Z, ((apart_point_and_line T_0 T_1) => ((distinct_points T_0 Z) \/ (apart_point_and_line Z T_1)))) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (All Y, ((convergent_lines T_1 Y) => (-. (apart_point_and_line (intersection_point T_1 Y) T_1)))) (-. (apart_point_and_line (intersection_point T_1 T_2) T_2)) ### All 16 % 0.19/0.45 18. (All Y, (All Z, ((apart_point_and_line T_0 Y) => ((distinct_points T_0 Z) \/ (apart_point_and_line Z Y))))) (-. (apart_point_and_line (intersection_point T_1 T_2) T_2)) (All Y, ((convergent_lines T_1 Y) => (-. (apart_point_and_line (intersection_point T_1 Y) T_1)))) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (All Z, ((apart_point_and_line T_0 T_1) => ((distinct_points T_0 Z) \/ (apart_point_and_line Z T_1)))) (apart_point_and_line T_0 T_1) (All Z, ((apart_point_and_line T_0 T_1) => ((distinct_lines T_1 Z) \/ (apart_point_and_line T_0 Z)))) ### All 17 % 0.19/0.45 19. (All Z, ((apart_point_and_line T_0 T_1) => ((distinct_lines T_1 Z) \/ (apart_point_and_line T_0 Z)))) (apart_point_and_line T_0 T_1) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (All Y, ((convergent_lines T_1 Y) => (-. (apart_point_and_line (intersection_point T_1 Y) T_1)))) (-. (apart_point_and_line (intersection_point T_1 T_2) T_2)) (All Y, (All Z, ((apart_point_and_line T_0 Y) => ((distinct_points T_0 Z) \/ (apart_point_and_line Z Y))))) ### All 18 % 0.19/0.45 20. (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (-. (apart_point_and_line (intersection_point T_1 T_2) T_2)) (All Y, ((convergent_lines T_1 Y) => (-. (apart_point_and_line (intersection_point T_1 Y) T_1)))) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (apart_point_and_line T_0 T_1) (All Z, ((apart_point_and_line T_0 T_1) => ((distinct_lines T_1 Z) \/ (apart_point_and_line T_0 Z)))) ### All 19 % 0.19/0.45 21. (All Y, (All Z, ((apart_point_and_line T_0 Y) => ((distinct_lines Y Z) \/ (apart_point_and_line T_0 Z))))) (apart_point_and_line T_0 T_1) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (All Y, ((convergent_lines T_1 Y) => (-. (apart_point_and_line (intersection_point T_1 Y) T_1)))) (-. (apart_point_and_line (intersection_point T_1 T_2) T_2)) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) ### All 20 % 0.19/0.45 22. (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (-. (apart_point_and_line (intersection_point T_1 T_2) T_2)) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (apart_point_and_line T_0 T_1) (All Y, (All Z, ((apart_point_and_line T_0 Y) => ((distinct_lines Y Z) \/ (apart_point_and_line T_0 Z))))) ### All 21 % 0.19/0.45 23. (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) (apart_point_and_line T_0 T_1) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (-. (apart_point_and_line (intersection_point T_1 T_2) T_2)) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) ### All 22 % 0.19/0.45 24. (apart_point_and_line T_0 T_2) (-. (apart_point_and_line T_0 T_2)) ### Axiom % 0.19/0.45 25. (-. (distinct_points T_0 (intersection_point T_1 T_2))) (distinct_points T_0 (intersection_point T_1 T_2)) ### Axiom % 0.19/0.45 26. (-. (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 % 0.19/0.45 27. ((apart_point_and_line T_0 T_2) => ((distinct_points T_0 (intersection_point T_1 T_2)) \/ (apart_point_and_line (intersection_point T_1 T_2) T_2))) (-. (apart_point_and_line (intersection_point T_1 T_2) T_2)) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (apart_point_and_line T_0 T_2) ### DisjTree 24 25 26 % 0.19/0.45 28. (All Z, ((apart_point_and_line T_0 T_2) => ((distinct_points T_0 Z) \/ (apart_point_and_line Z T_2)))) (apart_point_and_line T_0 T_2) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (-. (apart_point_and_line (intersection_point T_1 T_2) T_2)) ### All 27 % 0.19/0.45 29. (All Y, (All Z, ((apart_point_and_line T_0 Y) => ((distinct_points T_0 Z) \/ (apart_point_and_line Z Y))))) (-. (apart_point_and_line (intersection_point T_1 T_2) T_2)) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (apart_point_and_line T_0 T_2) ### All 28 % 0.19/0.45 30. (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (apart_point_and_line T_0 T_2) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (-. (apart_point_and_line (intersection_point T_1 T_2) T_2)) ### All 29 % 0.19/0.45 31. ((apart_point_and_line T_0 T_1) \/ (apart_point_and_line T_0 T_2)) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (-. (apart_point_and_line (intersection_point T_1 T_2) T_2)) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) ### Or 23 30 % 0.19/0.45 32. (convergent_lines T_1 T_2) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) (-. (distinct_points T_0 (intersection_point T_1 T_2))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) ((apart_point_and_line T_0 T_1) \/ (apart_point_and_line T_0 T_2)) ### Extension/test/ci4 31 % 0.19/0.45 33. (-. (((distinct_points T_0 T_3) /\ ((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, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) ### ConjTree 32 % 0.19/0.45 34. (-. (All V, (((distinct_points T_0 T_3) /\ ((convergent_lines T_1 V) /\ ((apart_point_and_line T_0 T_1) \/ (apart_point_and_line T_0 V)))) => (distinct_points T_0 (intersection_point T_1 V))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) ### NotAllEx 33 % 0.19/0.45 35. (-. (All U, (All V, (((distinct_points T_0 T_3) /\ ((convergent_lines U V) /\ ((apart_point_and_line T_0 U) \/ (apart_point_and_line T_0 V)))) => (distinct_points T_0 (intersection_point U V)))))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) ### NotAllEx 34 % 0.19/0.45 36. (-. (All Y, (All U, (All V, (((distinct_points T_0 Y) /\ ((convergent_lines U V) /\ ((apart_point_and_line T_0 U) \/ (apart_point_and_line T_0 V)))) => (distinct_points T_0 (intersection_point U V))))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (All X, (All Y, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) ### NotAllEx 35 % 0.19/0.45 37. (-. (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, ((convergent_lines X Y) => (-. (apart_point_and_line (intersection_point X Y) X))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_points X Z) \/ (apart_point_and_line Z Y)))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) ### NotAllEx 36 % 0.19/0.45 % SZS output end Proof % 0.19/0.45 (* END-PROOF *) %------------------------------------------------------------------------------