%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : GEO219+1 : 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 : 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 06:31:16 EDT 2022 % Result : Theorem 9.43s 9.62s % Output : Proof 9.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO219+1 : TPTP v8.1.0. Released v3.3.0. % 0.12/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.34 % Computer : n019.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 13:35:39 EDT 2022 % 0.19/0.34 % CPUTime : % 9.43/9.62 % SZS status Theorem % 9.43/9.62 (* PROOF-FOUND *) % 9.43/9.62 (* BEGIN-PROOF *) % 9.43/9.62 % SZS output start Proof % 9.43/9.62 1. (-. (unorthogonal_lines T_0 T_1)) (unorthogonal_lines T_0 T_1) ### Axiom % 9.43/9.62 2. (-. (-. (unorthogonal_lines T_0 T_1))) (-. (unorthogonal_lines T_0 T_1)) ### NotNot 1 % 9.43/9.62 3. (-. ((-. (convergent_lines T_0 T_1)) \/ (-. (unorthogonal_lines T_0 T_1)))) (-. (unorthogonal_lines T_0 T_1)) ### NotOr 2 % 9.43/9.62 4. (-. (convergent_lines T_0 T_2)) (convergent_lines T_0 T_2) ### Axiom % 9.43/9.62 5. (-. (-. (convergent_lines T_0 T_2))) (-. (convergent_lines T_0 T_2)) ### NotNot 4 % 9.43/9.62 6. (-. ((-. (convergent_lines T_0 T_2)) \/ (-. (unorthogonal_lines T_0 T_2)))) (-. (convergent_lines T_0 T_2)) ### NotOr 5 % 9.43/9.62 7. (convergent_lines T_0 T_1) (-. (convergent_lines T_0 T_1)) ### Axiom % 9.43/9.62 8. (-. (convergent_lines T_0 T_2)) (convergent_lines T_0 T_2) ### Axiom % 9.43/9.62 9. (-. (convergent_lines T_1 T_2)) (convergent_lines T_1 T_2) ### Axiom % 9.43/9.62 10. ((convergent_lines T_0 T_1) => ((convergent_lines T_0 T_2) \/ (convergent_lines T_1 T_2))) (-. (convergent_lines T_1 T_2)) (-. (convergent_lines T_0 T_2)) (convergent_lines T_0 T_1) ### DisjTree 7 8 9 % 9.43/9.62 11. (All Z, ((convergent_lines T_0 T_1) => ((convergent_lines T_0 Z) \/ (convergent_lines T_1 Z)))) (convergent_lines T_0 T_1) (-. (convergent_lines T_0 T_2)) (-. (convergent_lines T_1 T_2)) ### All 10 % 9.43/9.62 12. (unorthogonal_lines T_1 T_2) (-. (unorthogonal_lines T_1 T_2)) ### Axiom % 9.43/9.62 13. ((((-. (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_0 T_1) (All Z, ((convergent_lines T_0 T_1) => ((convergent_lines T_0 Z) \/ (convergent_lines T_1 Z)))) (-. (convergent_lines T_0 T_2)) (-. (unorthogonal_lines T_0 T_1)) ### DisjTree 3 6 11 12 % 9.43/9.62 14. (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))))) (-. (unorthogonal_lines T_0 T_1)) (-. (convergent_lines T_0 T_2)) (All Z, ((convergent_lines T_0 T_1) => ((convergent_lines T_0 Z) \/ (convergent_lines T_1 Z)))) (convergent_lines T_0 T_1) (unorthogonal_lines T_1 T_2) ### All 13 % 9.43/9.62 15. (All Y, (All Z, ((convergent_lines T_0 Y) => ((convergent_lines T_0 Z) \/ (convergent_lines Y Z))))) (unorthogonal_lines T_1 T_2) (convergent_lines T_0 T_1) (-. (convergent_lines T_0 T_2)) (-. (unorthogonal_lines T_0 T_1)) (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))))) ### All 14 % 9.43/9.62 16. (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_0 T_1)) (-. (convergent_lines T_0 T_2)) (convergent_lines T_0 T_1) (unorthogonal_lines T_1 T_2) (All Y, (All Z, ((convergent_lines T_0 Y) => ((convergent_lines T_0 Z) \/ (convergent_lines Y Z))))) ### All 15 % 9.43/9.62 17. (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (unorthogonal_lines T_1 T_2) (convergent_lines T_0 T_1) (-. (convergent_lines T_0 T_2)) (-. (unorthogonal_lines T_0 T_1)) (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 16 % 9.43/9.62 18. (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))))))) (-. (unorthogonal_lines T_0 T_1)) (-. (convergent_lines T_0 T_2)) (convergent_lines T_0 T_1) (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 17 % 9.43/9.62 19. (-. (-. (convergent_lines T_0 T_1))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (unorthogonal_lines T_1 T_2) (-. (convergent_lines T_0 T_2)) (-. (unorthogonal_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))))))) ### NotNot 18 % 9.43/9.62 20. (-. ((-. (convergent_lines T_0 T_1)) /\ (-. (unorthogonal_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))))))) (-. (unorthogonal_lines T_0 T_1)) (-. (convergent_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)))))) ### NotAnd 19 2 % 9.43/9.62 21. (All M, (-. ((-. (convergent_lines T_0 M)) /\ (-. (unorthogonal_lines T_0 M))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (unorthogonal_lines T_1 T_2) (-. (convergent_lines T_0 T_2)) (-. (unorthogonal_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 20 % 9.43/9.62 22. (All L, (All M, (-. ((-. (convergent_lines L M)) /\ (-. (unorthogonal_lines L 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))))))) (-. (unorthogonal_lines T_0 T_1)) (-. (convergent_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 21 % 9.43/9.62 23. (-. (((-. (unorthogonal_lines T_0 T_1)) /\ (-. (convergent_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 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 L, (All M, (-. ((-. (convergent_lines L M)) /\ (-. (unorthogonal_lines L M)))))) ### ConjTree 22 % 9.43/9.62 24. (-. (All N, (((-. (unorthogonal_lines T_0 T_1)) /\ (-. (convergent_lines T_0 N))) => (-. (unorthogonal_lines T_1 N))))) (All L, (All M, (-. ((-. (convergent_lines L M)) /\ (-. (unorthogonal_lines L 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))))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) ### NotAllEx 23 % 9.43/9.62 25. (-. (All M, (All N, (((-. (unorthogonal_lines T_0 M)) /\ (-. (convergent_lines T_0 N))) => (-. (unorthogonal_lines M N)))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (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 L, (All M, (-. ((-. (convergent_lines L M)) /\ (-. (unorthogonal_lines L M)))))) ### NotAllEx 24 % 9.43/9.62 26. (-. (All L, (All M, (All N, (((-. (unorthogonal_lines L M)) /\ (-. (convergent_lines L N))) => (-. (unorthogonal_lines M N))))))) (All L, (All M, (-. ((-. (convergent_lines L M)) /\ (-. (unorthogonal_lines L 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))))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) ### NotAllEx 25 % 9.43/9.63 % SZS output end Proof % 9.43/9.63 (* END-PROOF *) %------------------------------------------------------------------------------