%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : GEO218+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 : n029.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 06:31:15 EDT 2022 % Result : Theorem 7.51s 7.72s % Output : Proof 7.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.14 % Problem : GEO218+2 : TPTP v8.1.0. Released v3.3.0. % 0.14/0.14 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.15/0.36 % Computer : n029.cluster.edu % 0.15/0.36 % Model : x86_64 x86_64 % 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.36 % Memory : 8042.1875MB % 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.36 % CPULimit : 300 % 0.15/0.36 % WCLimit : 600 % 0.15/0.36 % DateTime : Sat Jun 18 16:52:14 EDT 2022 % 0.15/0.36 % CPUTime : % 7.51/7.72 % SZS status Theorem % 7.51/7.72 (* PROOF-FOUND *) % 7.51/7.72 (* BEGIN-PROOF *) % 7.51/7.72 % SZS output start Proof % 7.51/7.72 1. (-. (convergent_lines T_0 T_1)) (convergent_lines T_0 T_1) ### Axiom % 7.51/7.72 2. (-. (-. (convergent_lines T_0 T_1))) (-. (convergent_lines T_0 T_1)) ### NotNot 1 % 7.51/7.72 3. (-. ((-. (convergent_lines T_0 T_1)) \/ (-. (unorthogonal_lines T_0 T_1)))) (-. (convergent_lines T_0 T_1)) ### NotOr 2 % 7.51/7.72 4. (-. (unorthogonal_lines T_0 T_2)) (unorthogonal_lines T_0 T_2) ### Axiom % 7.51/7.72 5. (-. (-. (unorthogonal_lines T_0 T_2))) (-. (unorthogonal_lines T_0 T_2)) ### NotNot 4 % 7.51/7.72 6. (-. ((-. (convergent_lines T_0 T_2)) \/ (-. (unorthogonal_lines T_0 T_2)))) (-. (unorthogonal_lines T_0 T_2)) ### NotOr 5 % 7.51/7.72 7. (convergent_lines T_0 T_2) (-. (convergent_lines T_0 T_2)) ### Axiom % 7.51/7.72 8. (convergent_lines T_0 T_0) (-. (convergent_lines T_0 T_0)) ### Axiom % 7.51/7.72 9. (All X, (-. (convergent_lines X X))) (convergent_lines T_0 T_0) ### All 8 % 7.51/7.72 10. (convergent_lines T_2 T_0) (-. (convergent_lines T_2 T_0)) ### Axiom % 7.51/7.72 11. (convergent_lines T_2 T_1) (-. (convergent_lines T_2 T_1)) ### Axiom % 7.51/7.72 12. (-. (convergent_lines T_2 T_2)) (convergent_lines T_2 T_2) ### Axiom % 7.51/7.72 13. (-. (convergent_lines T_1 T_2)) (convergent_lines T_1 T_2) ### Axiom % 7.51/7.72 14. ((convergent_lines T_2 T_1) => ((convergent_lines T_2 T_2) \/ (convergent_lines T_1 T_2))) (-. (convergent_lines T_1 T_2)) (-. (convergent_lines T_2 T_2)) (convergent_lines T_2 T_1) ### DisjTree 11 12 13 % 7.51/7.72 15. (All Z, ((convergent_lines T_2 T_1) => ((convergent_lines T_2 Z) \/ (convergent_lines T_1 Z)))) (convergent_lines T_2 T_1) (-. (convergent_lines T_2 T_2)) (-. (convergent_lines T_1 T_2)) ### All 14 % 7.51/7.72 16. (All Y, (All Z, ((convergent_lines T_2 Y) => ((convergent_lines T_2 Z) \/ (convergent_lines Y Z))))) (-. (convergent_lines T_1 T_2)) (-. (convergent_lines T_2 T_2)) (convergent_lines T_2 T_1) ### All 15 % 7.51/7.72 17. (-. (convergent_lines T_0 T_1)) (convergent_lines T_0 T_1) ### Axiom % 7.51/7.72 18. ((convergent_lines T_2 T_0) => ((convergent_lines T_2 T_1) \/ (convergent_lines T_0 T_1))) (-. (convergent_lines T_0 T_1)) (-. (convergent_lines T_2 T_2)) (-. (convergent_lines T_1 T_2)) (All Y, (All Z, ((convergent_lines T_2 Y) => ((convergent_lines T_2 Z) \/ (convergent_lines Y Z))))) (convergent_lines T_2 T_0) ### DisjTree 10 16 17 % 7.51/7.72 19. (All Z, ((convergent_lines T_2 T_0) => ((convergent_lines T_2 Z) \/ (convergent_lines T_0 Z)))) (convergent_lines T_2 T_0) (All Y, (All Z, ((convergent_lines T_2 Y) => ((convergent_lines T_2 Z) \/ (convergent_lines Y Z))))) (-. (convergent_lines T_1 T_2)) (-. (convergent_lines T_2 T_2)) (-. (convergent_lines T_0 T_1)) ### All 18 % 7.51/7.72 20. (-. (convergent_lines T_0 T_1)) (-. (convergent_lines T_2 T_2)) (-. (convergent_lines T_1 T_2)) (All Y, (All Z, ((convergent_lines T_2 Y) => ((convergent_lines T_2 Z) \/ (convergent_lines Y Z))))) (convergent_lines T_2 T_0) ### All 19 % 7.51/7.72 21. (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (convergent_lines T_2 T_0) (-. (convergent_lines T_1 T_2)) (-. (convergent_lines T_2 T_2)) (-. (convergent_lines T_0 T_1)) ### All 20 % 7.51/7.72 22. ((convergent_lines T_0 T_2) => ((convergent_lines T_0 T_0) \/ (convergent_lines T_2 T_0))) (-. (convergent_lines T_0 T_1)) (-. (convergent_lines T_2 T_2)) (-. (convergent_lines T_1 T_2)) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All X, (-. (convergent_lines X X))) (convergent_lines T_0 T_2) ### DisjTree 7 9 21 % 7.51/7.72 23. (All Z, ((convergent_lines T_0 T_2) => ((convergent_lines T_0 Z) \/ (convergent_lines T_2 Z)))) (convergent_lines T_0 T_2) (All X, (-. (convergent_lines X X))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (-. (convergent_lines T_1 T_2)) (-. (convergent_lines T_2 T_2)) (-. (convergent_lines T_0 T_1)) ### All 22 % 7.51/7.72 24. (unorthogonal_lines T_1 T_2) (-. (unorthogonal_lines T_1 T_2)) ### Axiom % 7.51/7.72 25. ((((-. (convergent_lines T_0 T_1)) \/ (-. (unorthogonal_lines T_0 T_1))) /\ ((-. (convergent_lines T_0 T_2)) \/ (-. (unorthogonal_lines T_0 T_2)))) => ((-. (convergent_lines T_1 T_2)) \/ (-. (unorthogonal_lines T_1 T_2)))) (unorthogonal_lines T_1 T_2) (-. (convergent_lines T_2 T_2)) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All X, (-. (convergent_lines X X))) (convergent_lines T_0 T_2) (All Z, ((convergent_lines T_0 T_2) => ((convergent_lines T_0 Z) \/ (convergent_lines T_2 Z)))) (-. (unorthogonal_lines T_0 T_2)) (-. (convergent_lines T_0 T_1)) ### DisjTree 3 6 23 24 % 7.51/7.72 26. (All N, ((((-. (convergent_lines T_0 T_1)) \/ (-. (unorthogonal_lines T_0 T_1))) /\ ((-. (convergent_lines T_0 N)) \/ (-. (unorthogonal_lines T_0 N)))) => ((-. (convergent_lines T_1 N)) \/ (-. (unorthogonal_lines T_1 N))))) (-. (convergent_lines T_0 T_1)) (-. (unorthogonal_lines T_0 T_2)) (All Z, ((convergent_lines T_0 T_2) => ((convergent_lines T_0 Z) \/ (convergent_lines T_2 Z)))) (convergent_lines T_0 T_2) (All X, (-. (convergent_lines X X))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (-. (convergent_lines T_2 T_2)) (unorthogonal_lines T_1 T_2) ### All 25 % 7.51/7.72 27. (All M, (All N, ((((-. (convergent_lines T_0 M)) \/ (-. (unorthogonal_lines T_0 M))) /\ ((-. (convergent_lines T_0 N)) \/ (-. (unorthogonal_lines T_0 N)))) => ((-. (convergent_lines M N)) \/ (-. (unorthogonal_lines M N)))))) (unorthogonal_lines T_1 T_2) (-. (convergent_lines T_2 T_2)) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All X, (-. (convergent_lines X X))) (convergent_lines T_0 T_2) (All Z, ((convergent_lines T_0 T_2) => ((convergent_lines T_0 Z) \/ (convergent_lines T_2 Z)))) (-. (unorthogonal_lines T_0 T_2)) (-. (convergent_lines T_0 T_1)) ### All 26 % 7.51/7.72 28. (All Y, (All Z, ((convergent_lines T_0 Y) => ((convergent_lines T_0 Z) \/ (convergent_lines Y Z))))) (-. (convergent_lines T_0 T_1)) (-. (unorthogonal_lines T_0 T_2)) (convergent_lines T_0 T_2) (All X, (-. (convergent_lines X X))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (-. (convergent_lines T_2 T_2)) (unorthogonal_lines T_1 T_2) (All M, (All N, ((((-. (convergent_lines T_0 M)) \/ (-. (unorthogonal_lines T_0 M))) /\ ((-. (convergent_lines T_0 N)) \/ (-. (unorthogonal_lines T_0 N)))) => ((-. (convergent_lines M N)) \/ (-. (unorthogonal_lines M N)))))) ### All 27 % 7.51/7.72 29. (All M, (All N, ((((-. (convergent_lines T_0 M)) \/ (-. (unorthogonal_lines T_0 M))) /\ ((-. (convergent_lines T_0 N)) \/ (-. (unorthogonal_lines T_0 N)))) => ((-. (convergent_lines M N)) \/ (-. (unorthogonal_lines M N)))))) (unorthogonal_lines T_1 T_2) (-. (convergent_lines T_2 T_2)) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All X, (-. (convergent_lines X X))) (convergent_lines T_0 T_2) (-. (unorthogonal_lines T_0 T_2)) (-. (convergent_lines T_0 T_1)) ### All 28 % 7.51/7.72 30. (All L, (All M, (All N, ((((-. (convergent_lines L M)) \/ (-. (unorthogonal_lines L M))) /\ ((-. (convergent_lines L N)) \/ (-. (unorthogonal_lines L N)))) => ((-. (convergent_lines M N)) \/ (-. (unorthogonal_lines M N))))))) (-. (convergent_lines T_0 T_1)) (-. (unorthogonal_lines T_0 T_2)) (convergent_lines T_0 T_2) (All X, (-. (convergent_lines X X))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (-. (convergent_lines T_2 T_2)) (unorthogonal_lines T_1 T_2) ### All 29 % 7.51/7.72 31. (unorthogonal_lines T_1 T_2) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All X, (-. (convergent_lines X X))) (convergent_lines T_0 T_2) (-. (unorthogonal_lines T_0 T_2)) (-. (convergent_lines T_0 T_1)) (All L, (All M, (All N, ((((-. (convergent_lines L M)) \/ (-. (unorthogonal_lines L M))) /\ ((-. (convergent_lines L N)) \/ (-. (unorthogonal_lines L N)))) => ((-. (convergent_lines M N)) \/ (-. (unorthogonal_lines M N))))))) ### All 30 % 7.51/7.72 32. (-. (-. (convergent_lines T_0 T_2))) (All L, (All M, (All N, ((((-. (convergent_lines L M)) \/ (-. (unorthogonal_lines L M))) /\ ((-. (convergent_lines L N)) \/ (-. (unorthogonal_lines L N)))) => ((-. (convergent_lines M N)) \/ (-. (unorthogonal_lines M N))))))) (-. (convergent_lines T_0 T_1)) (-. (unorthogonal_lines T_0 T_2)) (All X, (-. (convergent_lines X X))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (unorthogonal_lines T_1 T_2) ### NotNot 31 % 7.51/7.75 33. (-. ((-. (convergent_lines T_0 T_2)) /\ (-. (unorthogonal_lines T_0 T_2)))) (unorthogonal_lines T_1 T_2) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All X, (-. (convergent_lines X X))) (-. (unorthogonal_lines T_0 T_2)) (-. (convergent_lines T_0 T_1)) (All L, (All M, (All N, ((((-. (convergent_lines L M)) \/ (-. (unorthogonal_lines L M))) /\ ((-. (convergent_lines L N)) \/ (-. (unorthogonal_lines L N)))) => ((-. (convergent_lines M N)) \/ (-. (unorthogonal_lines M N))))))) ### NotAnd 32 5 % 7.51/7.75 34. (All M, (-. ((-. (convergent_lines T_0 M)) /\ (-. (unorthogonal_lines T_0 M))))) (All L, (All M, (All N, ((((-. (convergent_lines L M)) \/ (-. (unorthogonal_lines L M))) /\ ((-. (convergent_lines L N)) \/ (-. (unorthogonal_lines L N)))) => ((-. (convergent_lines M N)) \/ (-. (unorthogonal_lines M N))))))) (-. (convergent_lines T_0 T_1)) (-. (unorthogonal_lines T_0 T_2)) (All X, (-. (convergent_lines X X))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (unorthogonal_lines T_1 T_2) ### All 33 % 7.51/7.75 35. (All L, (All M, (-. ((-. (convergent_lines L M)) /\ (-. (unorthogonal_lines L M)))))) (unorthogonal_lines T_1 T_2) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All X, (-. (convergent_lines X X))) (-. (unorthogonal_lines T_0 T_2)) (-. (convergent_lines T_0 T_1)) (All L, (All M, (All N, ((((-. (convergent_lines L M)) \/ (-. (unorthogonal_lines L M))) /\ ((-. (convergent_lines L N)) \/ (-. (unorthogonal_lines L N)))) => ((-. (convergent_lines M N)) \/ (-. (unorthogonal_lines M N))))))) ### All 34 % 7.51/7.75 36. (-. (((-. (convergent_lines T_0 T_1)) /\ (-. (unorthogonal_lines T_0 T_2))) => (-. (unorthogonal_lines T_1 T_2)))) (All L, (All M, (All N, ((((-. (convergent_lines L M)) \/ (-. (unorthogonal_lines L M))) /\ ((-. (convergent_lines L N)) \/ (-. (unorthogonal_lines L N)))) => ((-. (convergent_lines M N)) \/ (-. (unorthogonal_lines M N))))))) (All X, (-. (convergent_lines X X))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All L, (All M, (-. ((-. (convergent_lines L M)) /\ (-. (unorthogonal_lines L M)))))) ### ConjTree 35 % 7.51/7.75 37. (-. (All N, (((-. (convergent_lines T_0 T_1)) /\ (-. (unorthogonal_lines T_0 N))) => (-. (unorthogonal_lines T_1 N))))) (All L, (All M, (-. ((-. (convergent_lines L M)) /\ (-. (unorthogonal_lines L M)))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All X, (-. (convergent_lines X X))) (All L, (All M, (All N, ((((-. (convergent_lines L M)) \/ (-. (unorthogonal_lines L M))) /\ ((-. (convergent_lines L N)) \/ (-. (unorthogonal_lines L N)))) => ((-. (convergent_lines M N)) \/ (-. (unorthogonal_lines M N))))))) ### NotAllEx 36 % 7.51/7.75 38. (-. (All M, (All N, (((-. (convergent_lines T_0 M)) /\ (-. (unorthogonal_lines T_0 N))) => (-. (unorthogonal_lines M N)))))) (All L, (All M, (All N, ((((-. (convergent_lines L M)) \/ (-. (unorthogonal_lines L M))) /\ ((-. (convergent_lines L N)) \/ (-. (unorthogonal_lines L N)))) => ((-. (convergent_lines M N)) \/ (-. (unorthogonal_lines M N))))))) (All X, (-. (convergent_lines X X))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All L, (All M, (-. ((-. (convergent_lines L M)) /\ (-. (unorthogonal_lines L M)))))) ### NotAllEx 37 % 7.51/7.75 39. (-. (All L, (All M, (All N, (((-. (convergent_lines L M)) /\ (-. (unorthogonal_lines L N))) => (-. (unorthogonal_lines M N))))))) (All L, (All M, (-. ((-. (convergent_lines L M)) /\ (-. (unorthogonal_lines L M)))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (All X, (-. (convergent_lines X X))) (All L, (All M, (All N, ((((-. (convergent_lines L M)) \/ (-. (unorthogonal_lines L M))) /\ ((-. (convergent_lines L N)) \/ (-. (unorthogonal_lines L N)))) => ((-. (convergent_lines M N)) \/ (-. (unorthogonal_lines M N))))))) ### NotAllEx 38 % 7.51/7.75 % SZS output end Proof % 7.51/7.75 (* END-PROOF *) %------------------------------------------------------------------------------