%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SYN056+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n012.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 12:40:39 EDT 2022 % Result : Theorem 0.12s 0.40s % Output : Proof 0.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYN056+1 : TPTP v8.1.0. Released v2.0.0. % 0.11/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n012.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 : Mon Jul 11 22:02:57 EDT 2022 % 0.12/0.33 % CPUTime : % 0.12/0.40 % SZS status Theorem % 0.12/0.40 (* PROOF-FOUND *) % 0.12/0.40 (* BEGIN-PROOF *) % 0.12/0.40 % SZS output start Proof % 0.12/0.40 1. (big_p T_0) (-. (big_p T_0)) ### Axiom % 0.12/0.40 2. (-. (Ex X, (big_p X))) (big_p T_0) ### NotExists 1 % 0.12/0.40 3. (-. ((big_p T_0) => (big_r T_0))) (-. (Ex X, (big_p X))) ### NotImply 2 % 0.12/0.40 4. (-. (All X, ((big_p X) => (big_r X)))) (-. (Ex X, (big_p X))) ### NotAllEx 3 % 0.12/0.40 5. (big_q T_1) (-. (big_q T_1)) ### Axiom % 0.12/0.40 6. (-. (Ex Y, (big_q Y))) (big_q T_1) ### NotExists 5 % 0.12/0.40 7. (-. ((big_q T_1) => (big_s T_1))) (-. (Ex Y, (big_q Y))) ### NotImply 6 % 0.12/0.40 8. (-. (All Y, ((big_q Y) => (big_s Y)))) (-. (Ex Y, (big_q Y))) ### NotAllEx 7 % 0.12/0.40 9. (-. ((All X, ((big_p X) => (big_r X))) <=> (All Y, ((big_q Y) => (big_s Y))))) (-. (Ex Y, (big_q Y))) (-. (Ex X, (big_p X))) ### NotEquiv 4 8 % 0.12/0.40 10. (big_q T_2) (-. (big_q T_2)) ### Axiom % 0.12/0.40 11. (big_p T_0) (-. (big_p T_0)) ### Axiom % 0.12/0.40 12. (big_q T_2) (-. (big_q T_2)) ### Axiom % 0.12/0.40 13. (big_s T_2) (-. (big_s T_2)) ### Axiom % 0.12/0.40 14. (-. (big_r T_0)) (big_r T_0) ### Axiom % 0.12/0.40 15. ((big_r T_0) <=> (big_s T_2)) (-. (big_r T_0)) (big_s T_2) ### Equiv 13 14 % 0.12/0.40 16. (((big_p T_0) /\ (big_q T_2)) => ((big_r T_0) <=> (big_s T_2))) (big_s T_2) (-. (big_r T_0)) (big_q T_2) (big_p T_0) ### DisjTree 11 12 15 % 0.12/0.40 17. (All Y, (((big_p T_0) /\ (big_q Y)) => ((big_r T_0) <=> (big_s Y)))) (big_p T_0) (big_q T_2) (-. (big_r T_0)) (big_s T_2) ### All 16 % 0.12/0.40 18. ((big_q T_2) => (big_s T_2)) (-. (big_r T_0)) (big_p T_0) (All Y, (((big_p T_0) /\ (big_q Y)) => ((big_r T_0) <=> (big_s Y)))) (big_q T_2) ### Imply 10 17 % 0.12/0.40 19. (All Y, ((big_q Y) => (big_s Y))) (big_q T_2) (All Y, (((big_p T_0) /\ (big_q Y)) => ((big_r T_0) <=> (big_s Y)))) (big_p T_0) (-. (big_r T_0)) ### All 18 % 0.12/0.40 20. (All X, (All Y, (((big_p X) /\ (big_q Y)) => ((big_r X) <=> (big_s Y))))) (-. (big_r T_0)) (big_p T_0) (big_q T_2) (All Y, ((big_q Y) => (big_s Y))) ### All 19 % 0.12/0.40 21. (-. ((big_p T_0) => (big_r T_0))) (All Y, ((big_q Y) => (big_s Y))) (big_q T_2) (All X, (All Y, (((big_p X) /\ (big_q Y)) => ((big_r X) <=> (big_s Y))))) ### NotImply 20 % 0.12/0.40 22. (-. (All X, ((big_p X) => (big_r X)))) (All X, (All Y, (((big_p X) /\ (big_q Y)) => ((big_r X) <=> (big_s Y))))) (big_q T_2) (All Y, ((big_q Y) => (big_s Y))) ### NotAllEx 21 % 0.12/0.40 23. (big_p T_3) (-. (big_p T_3)) ### Axiom % 0.12/0.40 24. (big_q T_2) (-. (big_q T_2)) ### Axiom % 0.12/0.40 25. (big_p T_3) (-. (big_p T_3)) ### Axiom % 0.12/0.40 26. (-. (big_r T_3)) (big_r T_3) ### Axiom % 0.12/0.40 27. ((big_p T_3) => (big_r T_3)) (-. (big_r T_3)) (big_p T_3) ### Imply 25 26 % 0.12/0.40 28. (All X, ((big_p X) => (big_r X))) (big_p T_3) (-. (big_r T_3)) ### All 27 % 0.12/0.40 29. (big_p T_3) (-. (big_p T_3)) ### Axiom % 0.12/0.40 30. (big_q T_1) (-. (big_q T_1)) ### Axiom % 0.12/0.40 31. (big_r T_3) (-. (big_r T_3)) ### Axiom % 0.12/0.40 32. (-. (big_s T_1)) (big_s T_1) ### Axiom % 0.12/0.40 33. ((big_r T_3) <=> (big_s T_1)) (-. (big_s T_1)) (big_r T_3) ### Equiv 31 32 % 0.12/0.40 34. (((big_p T_3) /\ (big_q T_1)) => ((big_r T_3) <=> (big_s T_1))) (big_r T_3) (-. (big_s T_1)) (big_q T_1) (big_p T_3) ### DisjTree 29 30 33 % 0.12/0.40 35. (All Y, (((big_p T_3) /\ (big_q Y)) => ((big_r T_3) <=> (big_s Y)))) (big_p T_3) (big_q T_1) (-. (big_s T_1)) (big_r T_3) ### All 34 % 0.12/0.40 36. ((big_r T_3) <=> (big_s T_2)) (-. (big_s T_1)) (big_q T_1) (All Y, (((big_p T_3) /\ (big_q Y)) => ((big_r T_3) <=> (big_s Y)))) (big_p T_3) (All X, ((big_p X) => (big_r X))) ### Equiv 28 35 % 0.12/0.40 37. (((big_p T_3) /\ (big_q T_2)) => ((big_r T_3) <=> (big_s T_2))) (All X, ((big_p X) => (big_r X))) (All Y, (((big_p T_3) /\ (big_q Y)) => ((big_r T_3) <=> (big_s Y)))) (big_q T_1) (-. (big_s T_1)) (big_q T_2) (big_p T_3) ### DisjTree 23 24 36 % 0.12/0.40 38. (big_p T_3) (big_q T_2) (-. (big_s T_1)) (big_q T_1) (All Y, (((big_p T_3) /\ (big_q Y)) => ((big_r T_3) <=> (big_s Y)))) (All X, ((big_p X) => (big_r X))) ### All 37 % 0.12/0.40 39. (All X, (All Y, (((big_p X) /\ (big_q Y)) => ((big_r X) <=> (big_s Y))))) (All X, ((big_p X) => (big_r X))) (big_q T_1) (-. (big_s T_1)) (big_q T_2) (big_p T_3) ### All 38 % 0.12/0.40 40. (-. ((big_q T_1) => (big_s T_1))) (big_p T_3) (big_q T_2) (All X, ((big_p X) => (big_r X))) (All X, (All Y, (((big_p X) /\ (big_q Y)) => ((big_r X) <=> (big_s Y))))) ### NotImply 39 % 0.12/0.40 41. (-. (All Y, ((big_q Y) => (big_s Y)))) (All X, (All Y, (((big_p X) /\ (big_q Y)) => ((big_r X) <=> (big_s Y))))) (All X, ((big_p X) => (big_r X))) (big_q T_2) (big_p T_3) ### NotAllEx 40 % 0.12/0.40 42. (-. ((All X, ((big_p X) => (big_r X))) <=> (All Y, ((big_q Y) => (big_s Y))))) (big_p T_3) (big_q T_2) (All X, (All Y, (((big_p X) /\ (big_q Y)) => ((big_r X) <=> (big_s Y))))) ### NotEquiv 22 41 % 0.12/0.40 43. (Ex Y, (big_q Y)) (All X, (All Y, (((big_p X) /\ (big_q Y)) => ((big_r X) <=> (big_s Y))))) (big_p T_3) (-. ((All X, ((big_p X) => (big_r X))) <=> (All Y, ((big_q Y) => (big_s Y))))) ### Exists 42 % 0.12/0.40 44. (Ex X, (big_p X)) (-. ((All X, ((big_p X) => (big_r X))) <=> (All Y, ((big_q Y) => (big_s Y))))) (All X, (All Y, (((big_p X) /\ (big_q Y)) => ((big_r X) <=> (big_s Y))))) (Ex Y, (big_q Y)) ### Exists 43 % 0.12/0.40 45. ((Ex X, (big_p X)) <=> (Ex Y, (big_q Y))) (All X, (All Y, (((big_p X) /\ (big_q Y)) => ((big_r X) <=> (big_s Y))))) (-. ((All X, ((big_p X) => (big_r X))) <=> (All Y, ((big_q Y) => (big_s Y))))) ### Equiv 9 44 % 0.12/0.40 % SZS output end Proof % 0.12/0.40 (* END-PROOF *) %------------------------------------------------------------------------------