%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : GEO183+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 : n014.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 06:30:45 EDT 2022 % Result : Theorem 0.51s 0.73s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : GEO183+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 : n014.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 08:51:04 EDT 2022 % 0.12/0.33 % CPUTime : % 0.51/0.73 % SZS status Theorem % 0.51/0.73 (* PROOF-FOUND *) % 0.51/0.73 (* BEGIN-PROOF *) % 0.51/0.73 % SZS output start Proof % 0.51/0.73 1. (distinct_points T_0 T_1) (-. (distinct_points T_0 T_1)) ### Axiom % 0.51/0.73 2. (apart_point_and_line T_0 T_2) (-. (apart_point_and_line T_0 T_2)) ### Axiom % 0.51/0.73 3. (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (distinct_lines T_2 (line_connecting T_0 T_1)) ### Axiom % 0.51/0.73 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 % 0.51/0.73 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 % 0.51/0.73 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 % 0.51/0.73 7. (distinct_points T_0 T_0) ### Extension/test/apart1 % 0.51/0.73 8. ((distinct_points T_0 T_0) /\ (distinct_points T_0 T_1)) ### And 7 % 0.51/0.73 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 % 0.51/0.73 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 % 0.51/0.73 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 % 0.51/0.73 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 % 0.51/0.73 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 % 0.51/0.73 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 % 0.51/0.73 15. (-. (-. (apart_point_and_line T_0 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)))))) ### NotNot 14 % 0.51/0.73 16. (distinct_points T_0 T_1) (-. (distinct_points T_0 T_1)) ### Axiom % 0.51/0.73 17. (apart_point_and_line T_1 T_2) (-. (apart_point_and_line T_1 T_2)) ### Axiom % 0.51/0.73 18. (-. (distinct_lines T_2 (line_connecting T_0 T_1))) (distinct_lines T_2 (line_connecting T_0 T_1)) ### Axiom % 0.51/0.73 19. (-. (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 % 0.51/0.73 20. ((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 17 18 19 % 0.51/0.73 21. (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 20 % 0.51/0.73 22. (distinct_points T_1 T_1) ### Extension/test/apart1 % 0.51/0.73 23. ((distinct_points T_1 T_0) /\ (distinct_points T_1 T_1)) ### And 22 % 0.51/0.73 24. ((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 16 21 23 % 0.51/0.73 25. (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 24 % 0.51/0.73 26. (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 25 % 0.51/0.73 27. (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 26 % 0.51/0.73 28. (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 27 % 0.51/0.73 29. (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 28 % 0.51/0.73 30. (-. (-. (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)))))) ### NotNot 29 % 0.51/0.73 31. (-. ((-. (apart_point_and_line T_0 T_2)) /\ (-. (apart_point_and_line 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)))))) (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) (-. (distinct_lines T_2 (line_connecting T_0 T_1))) ### NotAnd 15 30 % 0.51/0.73 32. (-. (((distinct_points T_0 T_1) /\ ((convergent_lines T_2 T_3) /\ (-. (distinct_lines T_2 (line_connecting T_0 T_1))))) => ((-. (apart_point_and_line T_0 T_2)) /\ (-. (apart_point_and_line T_1 T_2))))) (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)))))) ### ConjTree 31 % 0.51/0.73 33. (-. (All V, (((distinct_points T_0 T_1) /\ ((convergent_lines T_2 V) /\ (-. (distinct_lines T_2 (line_connecting T_0 T_1))))) => ((-. (apart_point_and_line T_0 T_2)) /\ (-. (apart_point_and_line 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)))))) (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 32 % 0.51/0.73 34. (-. (All U, (All V, (((distinct_points T_0 T_1) /\ ((convergent_lines U V) /\ (-. (distinct_lines U (line_connecting T_0 T_1))))) => ((-. (apart_point_and_line T_0 U)) /\ (-. (apart_point_and_line T_1 U))))))) (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 33 % 0.51/0.73 35. (-. (All Y, (All U, (All V, (((distinct_points T_0 Y) /\ ((convergent_lines U V) /\ (-. (distinct_lines U (line_connecting T_0 Y))))) => ((-. (apart_point_and_line T_0 U)) /\ (-. (apart_point_and_line Y U)))))))) (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 34 % 0.51/0.73 36. (-. (All X, (All Y, (All U, (All V, (((distinct_points X Y) /\ ((convergent_lines U V) /\ (-. (distinct_lines U (line_connecting X Y))))) => ((-. (apart_point_and_line X U)) /\ (-. (apart_point_and_line Y U))))))))) (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 35 % 0.51/0.73 % SZS output end Proof % 0.51/0.73 (* END-PROOF *) %------------------------------------------------------------------------------