%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : GEO174+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 : n010.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 06:30:37 EDT 2022 % Result : Theorem 0.54s 0.71s % Output : Proof 0.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GEO174+2 : TPTP v8.1.0. Released v3.3.0. % 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.34 % Computer : n010.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 : Sat Jun 18 13:22:53 EDT 2022 % 0.13/0.34 % CPUTime : % 0.54/0.71 % SZS status Theorem % 0.54/0.71 (* PROOF-FOUND *) % 0.54/0.71 (* BEGIN-PROOF *) % 0.54/0.71 % SZS output start Proof % 0.54/0.71 1. (distinct_points T_0 T_1) (-. (distinct_points T_0 T_1)) ### Axiom % 0.54/0.71 2. (apart_point_and_line T_0 T_2) (-. (apart_point_and_line T_0 T_2)) ### Axiom % 0.54/0.71 3. (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (distinct_lines T_2 (line_connecting T_0 T_1)) ### Axiom % 0.54/0.71 4. (-. (apart_point_and_line T_0 (line_connecting T_0 T_1))) (apart_point_and_line T_0 (line_connecting T_0 T_1)) ### Axiom % 0.54/0.71 5. ((apart_point_and_line T_0 T_2) => ((distinct_lines T_2 (line_connecting T_0 T_1)) \/ (apart_point_and_line T_0 (line_connecting T_0 T_1)))) (-. (apart_point_and_line T_0 (line_connecting T_0 T_1))) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (apart_point_and_line T_0 T_2) ### DisjTree 2 3 4 % 0.54/0.71 6. (All Z, ((apart_point_and_line T_0 T_2) => ((distinct_lines T_2 Z) \/ (apart_point_and_line T_0 Z)))) (apart_point_and_line T_0 T_2) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (-. (apart_point_and_line T_0 (line_connecting T_0 T_1))) ### All 5 % 0.54/0.71 7. (distinct_points T_0 T_0) ### Extension/test/apart1 % 0.54/0.71 8. ((distinct_points T_0 T_0) /\ (distinct_points T_0 T_1)) ### And 7 % 0.54/0.71 9. ((distinct_points T_0 T_1) => ((apart_point_and_line T_0 (line_connecting T_0 T_1)) => ((distinct_points T_0 T_0) /\ (distinct_points T_0 T_1)))) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (apart_point_and_line T_0 T_2) (All Z, ((apart_point_and_line T_0 T_2) => ((distinct_lines T_2 Z) \/ (apart_point_and_line T_0 Z)))) (distinct_points T_0 T_1) ### DisjTree 1 6 8 % 0.54/0.71 10. (All Z, ((distinct_points T_0 T_1) => ((apart_point_and_line Z (line_connecting T_0 T_1)) => ((distinct_points Z T_0) /\ (distinct_points Z T_1))))) (distinct_points T_0 T_1) (All Z, ((apart_point_and_line T_0 T_2) => ((distinct_lines T_2 Z) \/ (apart_point_and_line T_0 Z)))) (apart_point_and_line T_0 T_2) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) ### All 9 % 0.54/0.71 11. (All Y, (All Z, ((distinct_points T_0 Y) => ((apart_point_and_line Z (line_connecting T_0 Y)) => ((distinct_points Z T_0) /\ (distinct_points Z Y)))))) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (apart_point_and_line T_0 T_2) (All Z, ((apart_point_and_line T_0 T_2) => ((distinct_lines T_2 Z) \/ (apart_point_and_line T_0 Z)))) (distinct_points T_0 T_1) ### All 10 % 0.54/0.71 12. (All X, (All Y, (All Z, ((distinct_points X Y) => ((apart_point_and_line Z (line_connecting X Y)) => ((distinct_points Z X) /\ (distinct_points Z Y))))))) (distinct_points T_0 T_1) (All Z, ((apart_point_and_line T_0 T_2) => ((distinct_lines T_2 Z) \/ (apart_point_and_line T_0 Z)))) (apart_point_and_line T_0 T_2) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) ### All 11 % 0.54/0.71 13. (All Y, (All Z, ((apart_point_and_line T_0 Y) => ((distinct_lines Y Z) \/ (apart_point_and_line T_0 Z))))) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (apart_point_and_line T_0 T_2) (distinct_points T_0 T_1) (All X, (All Y, (All Z, ((distinct_points X Y) => ((apart_point_and_line Z (line_connecting X Y)) => ((distinct_points Z X) /\ (distinct_points Z Y))))))) ### All 12 % 0.54/0.71 14. (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, ((distinct_points X Y) => ((apart_point_and_line Z (line_connecting X Y)) => ((distinct_points Z X) /\ (distinct_points Z Y))))))) (distinct_points T_0 T_1) (apart_point_and_line T_0 T_2) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) ### All 13 % 0.54/0.71 15. (distinct_points T_0 T_1) (-. (distinct_points T_0 T_1)) ### Axiom % 0.54/0.71 16. (apart_point_and_line T_1 T_2) (-. (apart_point_and_line T_1 T_2)) ### Axiom % 0.54/0.71 17. (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (distinct_lines T_2 (line_connecting T_0 T_1)) ### Axiom % 0.54/0.71 18. (-. (apart_point_and_line T_1 (line_connecting T_0 T_1))) (apart_point_and_line T_1 (line_connecting T_0 T_1)) ### Axiom % 0.54/0.71 19. ((apart_point_and_line T_1 T_2) => ((distinct_lines T_2 (line_connecting T_0 T_1)) \/ (apart_point_and_line T_1 (line_connecting T_0 T_1)))) (-. (apart_point_and_line T_1 (line_connecting T_0 T_1))) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (apart_point_and_line T_1 T_2) ### DisjTree 16 17 18 % 0.54/0.71 20. (All Z, ((apart_point_and_line T_1 T_2) => ((distinct_lines T_2 Z) \/ (apart_point_and_line T_1 Z)))) (apart_point_and_line T_1 T_2) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (-. (apart_point_and_line T_1 (line_connecting T_0 T_1))) ### All 19 % 0.54/0.71 21. (distinct_points T_1 T_1) ### Extension/test/apart1 % 0.54/0.71 22. ((distinct_points T_1 T_0) /\ (distinct_points T_1 T_1)) ### And 21 % 0.54/0.71 23. ((distinct_points T_0 T_1) => ((apart_point_and_line T_1 (line_connecting T_0 T_1)) => ((distinct_points T_1 T_0) /\ (distinct_points T_1 T_1)))) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (apart_point_and_line T_1 T_2) (All Z, ((apart_point_and_line T_1 T_2) => ((distinct_lines T_2 Z) \/ (apart_point_and_line T_1 Z)))) (distinct_points T_0 T_1) ### DisjTree 15 20 22 % 0.54/0.71 24. (All Z, ((distinct_points T_0 T_1) => ((apart_point_and_line Z (line_connecting T_0 T_1)) => ((distinct_points Z T_0) /\ (distinct_points Z T_1))))) (distinct_points T_0 T_1) (All Z, ((apart_point_and_line T_1 T_2) => ((distinct_lines T_2 Z) \/ (apart_point_and_line T_1 Z)))) (apart_point_and_line T_1 T_2) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) ### All 23 % 0.54/0.71 25. (All Y, (All Z, ((distinct_points T_0 Y) => ((apart_point_and_line Z (line_connecting T_0 Y)) => ((distinct_points Z T_0) /\ (distinct_points Z Y)))))) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (apart_point_and_line T_1 T_2) (All Z, ((apart_point_and_line T_1 T_2) => ((distinct_lines T_2 Z) \/ (apart_point_and_line T_1 Z)))) (distinct_points T_0 T_1) ### All 24 % 0.54/0.71 26. (All X, (All Y, (All Z, ((distinct_points X Y) => ((apart_point_and_line Z (line_connecting X Y)) => ((distinct_points Z X) /\ (distinct_points Z Y))))))) (distinct_points T_0 T_1) (All Z, ((apart_point_and_line T_1 T_2) => ((distinct_lines T_2 Z) \/ (apart_point_and_line T_1 Z)))) (apart_point_and_line T_1 T_2) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) ### All 25 % 0.54/0.71 27. (All Y, (All Z, ((apart_point_and_line T_1 Y) => ((distinct_lines Y Z) \/ (apart_point_and_line T_1 Z))))) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (apart_point_and_line T_1 T_2) (distinct_points T_0 T_1) (All X, (All Y, (All Z, ((distinct_points X Y) => ((apart_point_and_line Z (line_connecting X Y)) => ((distinct_points Z X) /\ (distinct_points Z Y))))))) ### All 26 % 0.54/0.71 28. (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, ((distinct_points X Y) => ((apart_point_and_line Z (line_connecting X Y)) => ((distinct_points Z X) /\ (distinct_points Z Y))))))) (distinct_points T_0 T_1) (apart_point_and_line T_1 T_2) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) ### All 27 % 0.54/0.71 29. ((apart_point_and_line T_0 T_2) \/ (apart_point_and_line T_1 T_2)) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (distinct_points T_0 T_1) (All X, (All Y, (All Z, ((distinct_points X Y) => ((apart_point_and_line Z (line_connecting X Y)) => ((distinct_points Z X) /\ (distinct_points Z Y))))))) (All X, (All Y, (All Z, ((apart_point_and_line X Y) => ((distinct_lines Y Z) \/ (apart_point_and_line X Z)))))) ### Or 14 28 % 0.54/0.71 30. (-. (((distinct_points T_0 T_1) /\ ((convergent_lines T_2 T_3) /\ ((apart_point_and_line T_0 T_2) \/ (apart_point_and_line T_1 T_2)))) => (distinct_lines T_2 (line_connecting T_0 T_1)))) (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, ((distinct_points X Y) => ((apart_point_and_line Z (line_connecting X Y)) => ((distinct_points Z X) /\ (distinct_points Z Y))))))) ### ConjTree 29 % 0.54/0.71 31. (-. (All V, (((distinct_points T_0 T_1) /\ ((convergent_lines T_2 V) /\ ((apart_point_and_line T_0 T_2) \/ (apart_point_and_line T_1 T_2)))) => (distinct_lines T_2 (line_connecting T_0 T_1))))) (All X, (All Y, (All Z, ((distinct_points X Y) => ((apart_point_and_line Z (line_connecting X Y)) => ((distinct_points Z X) /\ (distinct_points 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 30 % 0.54/0.71 32. (-. (All U, (All V, (((distinct_points T_0 T_1) /\ ((convergent_lines U V) /\ ((apart_point_and_line T_0 U) \/ (apart_point_and_line T_1 U)))) => (distinct_lines U (line_connecting T_0 T_1)))))) (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, ((distinct_points X Y) => ((apart_point_and_line Z (line_connecting X Y)) => ((distinct_points Z X) /\ (distinct_points Z Y))))))) ### NotAllEx 31 % 0.54/0.71 33. (-. (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 Y U)))) => (distinct_lines U (line_connecting T_0 Y))))))) (All X, (All Y, (All Z, ((distinct_points X Y) => ((apart_point_and_line Z (line_connecting X Y)) => ((distinct_points Z X) /\ (distinct_points 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 32 % 0.54/0.71 34. (-. (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 Y U)))) => (distinct_lines U (line_connecting X Y)))))))) (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, ((distinct_points X Y) => ((apart_point_and_line Z (line_connecting X Y)) => ((distinct_points Z X) /\ (distinct_points Z Y))))))) ### NotAllEx 33 % 0.54/0.71 % SZS output end Proof % 0.54/0.71 (* END-PROOF *) %------------------------------------------------------------------------------