%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : GEO214+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 : 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 06:31:11 EDT 2022 % Result : Theorem 8.42s 8.66s % Output : Proof 8.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : GEO214+1 : TPTP v8.1.0. Released v3.3.0. % 0.11/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.14/0.34 % Computer : n014.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 600 % 0.14/0.34 % DateTime : Fri Jun 17 21:54:04 EDT 2022 % 0.14/0.34 % CPUTime : % 8.42/8.66 % SZS status Theorem % 8.42/8.66 (* PROOF-FOUND *) % 8.42/8.66 (* BEGIN-PROOF *) % 8.42/8.66 % SZS output start Proof % 8.42/8.66 1. (convergent_lines T_0 T_1) (-. (convergent_lines T_0 T_1)) ### Axiom % 8.42/8.66 2. (-. (convergent_lines T_0 T_0)) (convergent_lines T_0 T_0) ### Axiom % 8.42/8.66 3. (-. (convergent_lines T_1 T_0)) (convergent_lines T_1 T_0) ### Axiom % 8.42/8.66 4. ((convergent_lines T_0 T_1) => ((convergent_lines T_0 T_0) \/ (convergent_lines T_1 T_0))) (-. (convergent_lines T_1 T_0)) (-. (convergent_lines T_0 T_0)) (convergent_lines T_0 T_1) ### DisjTree 1 2 3 % 8.42/8.66 5. (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_0)) (-. (convergent_lines T_1 T_0)) ### All 4 % 8.42/8.66 6. (All Y, (All Z, ((convergent_lines T_0 Y) => ((convergent_lines T_0 Z) \/ (convergent_lines Y Z))))) (-. (convergent_lines T_1 T_0)) (-. (convergent_lines T_0 T_0)) (convergent_lines T_0 T_1) ### All 5 % 8.42/8.66 7. (All X, (-. (convergent_lines X X))) (convergent_lines T_0 T_1) (-. (convergent_lines T_1 T_0)) (All Y, (All Z, ((convergent_lines T_0 Y) => ((convergent_lines T_0 Z) \/ (convergent_lines Y Z))))) ### All 6 % 8.42/8.66 8. (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (-. (convergent_lines T_1 T_0)) (convergent_lines T_0 T_1) (All X, (-. (convergent_lines X X))) ### All 7 % 8.42/8.66 9. (unorthogonal_lines T_1 T_0) (-. (unorthogonal_lines T_1 T_0)) ### Axiom % 8.42/8.66 10. (-. (convergent_lines T_1 T_1)) (convergent_lines T_1 T_1) ### Axiom % 8.42/8.66 11. ((convergent_lines T_1 T_1) /\ (unorthogonal_lines T_1 T_1)) (-. (convergent_lines T_1 T_1)) ### And 10 % 8.42/8.66 12. (-. (unorthogonal_lines T_0 T_1)) (unorthogonal_lines T_0 T_1) ### Axiom % 8.42/8.66 13. ((convergent_lines T_0 T_1) /\ (unorthogonal_lines T_0 T_1)) (-. (unorthogonal_lines T_0 T_1)) ### And 12 % 8.42/8.66 14. (((convergent_lines T_1 T_0) /\ (unorthogonal_lines T_1 T_0)) => (((convergent_lines T_1 T_1) /\ (unorthogonal_lines T_1 T_1)) \/ ((convergent_lines T_0 T_1) /\ (unorthogonal_lines T_0 T_1)))) (-. (unorthogonal_lines T_0 T_1)) (-. (convergent_lines T_1 T_1)) (unorthogonal_lines T_1 T_0) (All X, (-. (convergent_lines X X))) (convergent_lines T_0 T_1) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) ### DisjTree 8 9 11 13 % 8.42/8.66 15. (All N, (((convergent_lines T_1 T_0) /\ (unorthogonal_lines T_1 T_0)) => (((convergent_lines T_1 N) /\ (unorthogonal_lines T_1 N)) \/ ((convergent_lines T_0 N) /\ (unorthogonal_lines T_0 N))))) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (convergent_lines T_0 T_1) (All X, (-. (convergent_lines X X))) (unorthogonal_lines T_1 T_0) (-. (convergent_lines T_1 T_1)) (-. (unorthogonal_lines T_0 T_1)) ### All 14 % 8.42/8.66 16. (All M, (All N, (((convergent_lines T_1 M) /\ (unorthogonal_lines T_1 M)) => (((convergent_lines T_1 N) /\ (unorthogonal_lines T_1 N)) \/ ((convergent_lines M N) /\ (unorthogonal_lines M N)))))) (-. (unorthogonal_lines T_0 T_1)) (-. (convergent_lines T_1 T_1)) (unorthogonal_lines T_1 T_0) (All X, (-. (convergent_lines X X))) (convergent_lines T_0 T_1) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) ### All 15 % 8.42/8.66 17. (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) (convergent_lines T_0 T_1) (All X, (-. (convergent_lines X X))) (unorthogonal_lines T_1 T_0) (-. (unorthogonal_lines T_0 T_1)) (All M, (All N, (((convergent_lines T_1 M) /\ (unorthogonal_lines T_1 M)) => (((convergent_lines T_1 N) /\ (unorthogonal_lines T_1 N)) \/ ((convergent_lines M N) /\ (unorthogonal_lines M N)))))) ### All 16 % 8.42/8.66 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)) (unorthogonal_lines T_1 T_0) (All X, (-. (convergent_lines X X))) (convergent_lines T_0 T_1) (All X, (All Y, (All Z, ((convergent_lines X Y) => ((convergent_lines X Z) \/ (convergent_lines Y Z)))))) ### All 17 % 8.42/8.66 19. (-. (unorthogonal_lines T_0 T_1)) (unorthogonal_lines T_0 T_1) ### Axiom % 8.42/8.66 20. ((convergent_lines T_0 T_1) \/ (unorthogonal_lines T_0 T_1)) (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_1 T_0) (-. (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))))))) ### Or 18 19 % 8.42/8.66 21. (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))))))) (-. (unorthogonal_lines T_0 T_1)) (unorthogonal_lines T_1 T_0) (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 20 % 8.42/8.66 22. (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))) (unorthogonal_lines T_1 T_0) (-. (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 21 % 8.42/8.66 23. (-. ((unorthogonal_lines T_1 T_0) => (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 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)))) ### NotImply 22 % 8.42/8.66 24. (-. (All M, ((unorthogonal_lines T_1 M) => (unorthogonal_lines M T_1)))) (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 23 % 8.42/8.66 25. (-. (All L, (All M, ((unorthogonal_lines L M) => (unorthogonal_lines M L))))) (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 24 % 8.42/8.66 % SZS output end Proof % 8.42/8.66 (* END-PROOF *) %------------------------------------------------------------------------------