%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SYN374+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 : n023.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 12:43:05 EDT 2022 % Result : Theorem 0.12s 0.39s % Output : Proof 0.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : SYN374+1 : TPTP v8.1.0. Released v2.0.0. % 0.10/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n023.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 16:48:39 EDT 2022 % 0.12/0.33 % CPUTime : % 0.12/0.39 % SZS status Theorem % 0.12/0.39 (* PROOF-FOUND *) % 0.12/0.39 (* BEGIN-PROOF *) % 0.12/0.39 % SZS output start Proof % 0.12/0.39 1. (big_p T_0) (-. (big_p T_0)) ### Axiom % 0.12/0.39 2. (-. (Ex X, (big_p X))) (big_p T_0) ### NotExists 1 % 0.12/0.39 3. (-. (big_p T_1)) (big_p T_1) ### Axiom % 0.12/0.39 4. (-. ((big_p T_1) <=> (big_p T_0))) (-. (big_p T_1)) (-. (Ex X, (big_p X))) ### NotEquiv 2 3 % 0.12/0.39 5. (-. (All Y, ((big_p T_1) <=> (big_p Y)))) (-. (Ex X, (big_p X))) (-. (big_p T_1)) ### NotAllEx 4 % 0.12/0.39 6. (-. (Ex X, (All Y, ((big_p X) <=> (big_p Y))))) (-. (big_p T_1)) (-. (Ex X, (big_p X))) ### NotExists 5 % 0.12/0.39 7. (-. (All Y, (big_p Y))) (-. (Ex X, (big_p X))) (-. (Ex X, (All Y, ((big_p X) <=> (big_p Y))))) ### NotAllEx 6 % 0.12/0.39 8. (big_p T_2) (-. (big_p T_2)) ### Axiom % 0.12/0.39 9. (-. (big_p T_3)) (big_p T_3) ### Axiom % 0.12/0.39 10. (All Y, (big_p Y)) (-. (big_p T_3)) ### All 9 % 0.12/0.39 11. (-. ((big_p T_2) <=> (big_p T_3))) (All Y, (big_p Y)) (big_p T_2) ### NotEquiv 8 10 % 0.12/0.39 12. (-. (All Y, ((big_p T_2) <=> (big_p Y)))) (big_p T_2) (All Y, (big_p Y)) ### NotAllEx 11 % 0.12/0.39 13. (-. (Ex X, (All Y, ((big_p X) <=> (big_p Y))))) (All Y, (big_p Y)) (big_p T_2) ### NotExists 12 % 0.12/0.39 14. (Ex X, (big_p X)) (All Y, (big_p Y)) (-. (Ex X, (All Y, ((big_p X) <=> (big_p Y))))) ### Exists 13 % 0.12/0.39 15. ((Ex X, (big_p X)) <=> (All Y, (big_p Y))) (-. (Ex X, (All Y, ((big_p X) <=> (big_p Y))))) ### Equiv 7 14 % 0.12/0.39 16. (-. (big_p T_4)) (big_p T_4) ### Axiom % 0.12/0.39 17. (All Y, (big_p Y)) (-. (big_p T_4)) ### All 16 % 0.12/0.39 18. (big_p T_4) (-. (big_p T_4)) ### Axiom % 0.12/0.39 19. (-. (Ex X, (big_p X))) (big_p T_4) ### NotExists 18 % 0.12/0.39 20. ((big_p T_4) <=> (big_p zenon_X5)) (-. (Ex X, (big_p X))) (All Y, (big_p Y)) ### Equiv 17 19 % 0.12/0.39 21. (All Y, ((big_p T_4) <=> (big_p Y))) (All Y, (big_p Y)) (-. (Ex X, (big_p X))) ### All 20 % 0.12/0.39 22. (big_p T_2) (-. (big_p T_2)) ### Axiom % 0.12/0.39 23. (-. (big_p T_4)) (big_p T_4) ### Axiom % 0.12/0.39 24. ((big_p T_4) <=> (big_p T_2)) (-. (big_p T_4)) (big_p T_2) ### Equiv 22 23 % 0.12/0.39 25. (All Y, ((big_p T_4) <=> (big_p Y))) (big_p T_2) (-. (big_p T_4)) ### All 24 % 0.12/0.39 26. (big_p T_4) (-. (big_p T_4)) ### Axiom % 0.12/0.39 27. (-. (big_p T_1)) (big_p T_1) ### Axiom % 0.12/0.39 28. ((big_p T_4) <=> (big_p T_1)) (-. (big_p T_1)) (big_p T_4) ### Equiv 26 27 % 0.12/0.39 29. (All Y, ((big_p T_4) <=> (big_p Y))) (big_p T_4) (-. (big_p T_1)) ### All 28 % 0.12/0.39 30. ((big_p T_4) <=> (big_p zenon_X5)) (-. (big_p T_1)) (big_p T_2) (All Y, ((big_p T_4) <=> (big_p Y))) ### Equiv 25 29 % 0.12/0.39 31. (All Y, ((big_p T_4) <=> (big_p Y))) (big_p T_2) (-. (big_p T_1)) ### All 30 % 0.12/0.39 32. (-. (All Y, (big_p Y))) (big_p T_2) (All Y, ((big_p T_4) <=> (big_p Y))) ### NotAllEx 31 % 0.12/0.39 33. (Ex X, (big_p X)) (All Y, ((big_p T_4) <=> (big_p Y))) (-. (All Y, (big_p Y))) ### Exists 32 % 0.12/0.39 34. (-. ((Ex X, (big_p X)) <=> (All Y, (big_p Y)))) (All Y, ((big_p T_4) <=> (big_p Y))) ### NotEquiv 21 33 % 0.12/0.39 35. (Ex X, (All Y, ((big_p X) <=> (big_p Y)))) (-. ((Ex X, (big_p X)) <=> (All Y, (big_p Y)))) ### Exists 34 % 0.12/0.39 36. (-. ((Ex X, (All Y, ((big_p X) <=> (big_p Y)))) <=> ((Ex X, (big_p X)) <=> (All Y, (big_p Y))))) ### NotEquiv 15 35 % 0.12/0.39 % SZS output end Proof % 0.12/0.39 (* END-PROOF *) %------------------------------------------------------------------------------