%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SYN726+1 : TPTP v8.1.0. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n022.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 : Thu Jul 21 12:46:08 EDT 2022 % Result : Theorem 0.47s 0.63s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN726+1 : TPTP v8.1.0. Released v2.5.0. % 0.03/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n022.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 : Tue Jul 12 03:19:55 EDT 2022 % 0.12/0.33 % CPUTime : % 0.47/0.63 % SZS status Theorem % 0.47/0.63 (* PROOF-FOUND *) % 0.47/0.63 (* BEGIN-PROOF *) % 0.47/0.63 % SZS output start Proof % 0.47/0.63 1. (-. (p T_0 T_1)) (p T_0 T_1) ### Axiom % 0.47/0.63 2. (-. (p T_0 T_2)) (p T_0 T_2) ### Axiom % 0.47/0.63 3. (-. (q T_2 T_0)) (q T_0 T_2) ### Sym(q) % 0.47/0.63 4. ((p T_0 T_2) \/ (q T_0 T_2)) (-. (q T_2 T_0)) (-. (p T_0 T_2)) ### Or 2 3 % 0.47/0.63 5. (All Y, ((p T_0 Y) \/ (q T_0 Y))) (-. (p T_0 T_2)) (-. (q T_2 T_0)) ### All 4 % 0.47/0.63 6. (T_1 != T_1) ### Refl(=) % 0.47/0.63 7. (-. (q T_2 T_1)) (q T_0 T_1) (-. (p T_0 T_2)) (All Y, ((p T_0 Y) \/ (q T_0 Y))) ### Trans 5 6 % 0.47/0.63 8. ((p T_0 T_1) \/ (q T_0 T_1)) (All Y, ((p T_0 Y) \/ (q T_0 Y))) (-. (p T_0 T_2)) (-. (q T_2 T_1)) (-. (p T_0 T_1)) ### Or 1 7 % 0.47/0.63 9. (-. (p T_0 T_1)) (-. (q T_2 T_1)) (-. (p T_0 T_2)) (All Y, ((p T_0 Y) \/ (q T_0 Y))) ### All 8 % 0.47/0.63 10. (T_1 != T_1) ### Refl(=) % 0.47/0.63 11. (p T_2 T_1) (All Y, ((p T_0 Y) \/ (q T_0 Y))) (-. (q T_2 T_1)) (-. (p T_0 T_1)) ### Trans 9 10 % 0.47/0.63 12. (T_3 != T_3) ### Refl(=) % 0.47/0.63 13. (-. (p T_0 T_3)) (p T_1 T_3) (-. (q T_2 T_1)) (All Y, ((p T_0 Y) \/ (q T_0 Y))) (p T_2 T_1) ### Trans 11 12 % 0.47/0.63 14. (T_1 != T_1) ### Refl(=) % 0.47/0.63 15. (All X, (All Y, ((p X Y) \/ (q X Y)))) (-. (p T_0 T_2)) (-. (q T_2 T_1)) (-. (p T_0 T_1)) ### All 9 % 0.47/0.63 16. (T_2 != T_2) ### Refl(=) % 0.47/0.63 17. (p T_1 T_2) (-. (q T_2 T_1)) (-. (p T_0 T_2)) (All X, (All Y, ((p X Y) \/ (q X Y)))) ### Trans 15 16 % 0.47/0.63 18. (T_3 != T_3) ### Refl(=) % 0.47/0.63 19. (-. (p T_0 T_3)) (p T_2 T_3) (All X, (All Y, ((p X Y) \/ (q X Y)))) (-. (q T_2 T_1)) (p T_1 T_2) ### Trans 17 18 % 0.47/0.63 20. (-. (q T_3 T_2)) (q T_2 T_3) ### Sym(q) % 0.47/0.63 21. ((p T_2 T_3) \/ (q T_2 T_3)) (-. (q T_3 T_2)) (p T_1 T_2) (-. (q T_2 T_1)) (All X, (All Y, ((p X Y) \/ (q X Y)))) (-. (p T_0 T_3)) ### Or 19 20 % 0.47/0.63 22. (All Y, ((p T_2 Y) \/ (q T_2 Y))) (-. (p T_0 T_3)) (All X, (All Y, ((p X Y) \/ (q X Y)))) (-. (q T_2 T_1)) (p T_1 T_2) (-. (q T_3 T_2)) ### All 21 % 0.47/0.63 23. (q T_1 T_3) (p T_1 T_2) (-. (q T_2 T_1)) (All X, (All Y, ((p X Y) \/ (q X Y)))) (-. (p T_0 T_3)) (All Y, ((p T_2 Y) \/ (q T_2 Y))) ### Trans-sym 14 22 % 0.47/0.63 24. ((p T_1 T_3) \/ (q T_1 T_3)) (All Y, ((p T_2 Y) \/ (q T_2 Y))) (All X, (All Y, ((p X Y) \/ (q X Y)))) (p T_1 T_2) (p T_2 T_1) (All Y, ((p T_0 Y) \/ (q T_0 Y))) (-. (q T_2 T_1)) (-. (p T_0 T_3)) ### Or 13 23 % 0.47/0.63 25. (All Y, ((p T_1 Y) \/ (q T_1 Y))) (-. (p T_0 T_3)) (-. (q T_2 T_1)) (All Y, ((p T_0 Y) \/ (q T_0 Y))) (p T_2 T_1) (p T_1 T_2) (All X, (All Y, ((p X Y) \/ (q X Y)))) (All Y, ((p T_2 Y) \/ (q T_2 Y))) ### All 24 % 0.47/0.63 26. (All Y, ((p T_2 Y) \/ (q T_2 Y))) (All X, (All Y, ((p X Y) \/ (q X Y)))) (p T_1 T_2) (p T_2 T_1) (-. (q T_2 T_1)) (-. (p T_0 T_3)) (All Y, ((p T_1 Y) \/ (q T_1 Y))) ### All 25 % 0.47/0.63 27. (-. (q T_2 T_1)) (q T_2 T_1) ### Axiom % 0.47/0.63 28. ((p T_2 T_1) \/ (q T_2 T_1)) (All Y, ((p T_1 Y) \/ (q T_1 Y))) (-. (p T_0 T_3)) (-. (q T_2 T_1)) (p T_1 T_2) (All X, (All Y, ((p X Y) \/ (q X Y)))) (All Y, ((p T_2 Y) \/ (q T_2 Y))) ### Or 26 27 % 0.47/0.63 29. (All Y, ((p T_2 Y) \/ (q T_2 Y))) (All X, (All Y, ((p X Y) \/ (q X Y)))) (p T_1 T_2) (-. (q T_2 T_1)) (-. (p T_0 T_3)) (All Y, ((p T_1 Y) \/ (q T_1 Y))) ### All 28 % 0.47/0.63 30. (-. (q T_2 T_1)) (q T_1 T_2) ### Sym(q) % 0.47/0.63 31. ((p T_1 T_2) \/ (q T_1 T_2)) (All Y, ((p T_1 Y) \/ (q T_1 Y))) (-. (p T_0 T_3)) (-. (q T_2 T_1)) (All X, (All Y, ((p X Y) \/ (q X Y)))) (All Y, ((p T_2 Y) \/ (q T_2 Y))) ### Or 29 30 % 0.47/0.63 32. (All Y, ((p T_2 Y) \/ (q T_2 Y))) (All X, (All Y, ((p X Y) \/ (q X Y)))) (-. (q T_2 T_1)) (-. (p T_0 T_3)) (All Y, ((p T_1 Y) \/ (q T_1 Y))) ### All 31 % 0.47/0.63 33. (All Y, ((p T_1 Y) \/ (q T_1 Y))) (-. (p T_0 T_3)) (-. (q T_2 T_1)) (All X, (All Y, ((p X Y) \/ (q X Y)))) ### All 32 % 0.47/0.63 34. (All X, (All Y, ((p X Y) \/ (q X Y)))) (-. (q T_2 T_1)) (-. (p T_0 T_3)) ### All 33 % 0.47/0.63 35. (-. (All Y, (q T_2 Y))) (-. (p T_0 T_3)) (All X, (All Y, ((p X Y) \/ (q X Y)))) ### NotAllEx 34 % 0.47/0.63 36. (-. (All X, (All Y, (q X Y)))) (All X, (All Y, ((p X Y) \/ (q X Y)))) (-. (p T_0 T_3)) ### NotAllEx 35 % 0.47/0.63 37. (-. (All Y, (p T_0 Y))) (All X, (All Y, ((p X Y) \/ (q X Y)))) (-. (All X, (All Y, (q X Y)))) ### NotAllEx 36 % 0.47/0.63 38. (-. (All X, (All Y, (p X Y)))) (-. (All X, (All Y, (q X Y)))) (All X, (All Y, ((p X Y) \/ (q X Y)))) ### NotAllEx 37 % 0.47/0.63 39. (-. ((((All X, (All Y, (All Z, (((p X Y) /\ (p Y Z)) => (p X Z))))) /\ ((All X, (All Y, (All Z, (((q X Y) /\ (q Y Z)) => (q X Z))))) /\ ((All X, (All Y, ((q X Y) => (q Y X)))) /\ (All X, (All Y, ((p X Y) \/ (q X Y))))))) => (All X, (All Y, (p X Y)))) \/ (All X, (All Y, (q X Y))))) ### ConjTree 38 % 0.47/0.63 % SZS output end Proof % 0.47/0.63 (* END-PROOF *) %------------------------------------------------------------------------------