%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SYN364+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 : 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 : Thu Jul 21 12:43:01 EDT 2022 % Result : Theorem 0.18s 0.41s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SYN364+1 : TPTP v8.1.0. Released v2.0.0. % 0.06/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n019.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 06:51:53 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.41 % SZS status Theorem % 0.18/0.41 (* PROOF-FOUND *) % 0.18/0.41 (* BEGIN-PROOF *) % 0.18/0.41 % SZS output start Proof % 0.18/0.41 1. (big_p zenon_X0 T_1) (-. (big_p zenon_X0 T_1)) ### Axiom % 0.18/0.41 2. (-. (Ex Y, (big_p zenon_X0 Y))) (big_p zenon_X0 T_1) ### NotExists 1 % 0.18/0.41 3. (big_p (g T_2) (g T_2)) (-. (big_p (g T_2) (g T_2))) ### Axiom % 0.18/0.41 4. (-. (big_p T_2 T_2)) (big_p T_2 T_2) ### Axiom % 0.18/0.41 5. (All Z, (big_p Z Z)) (-. (big_p T_2 T_2)) ### All 4 % 0.18/0.41 6. ((Ex Y, (big_p zenon_X0 Y)) => (All Z, (big_p Z Z))) (-. (big_p T_2 T_2)) (big_p zenon_X0 T_1) ### Imply 2 5 % 0.18/0.41 7. (All X, ((Ex Y, (big_p X Y)) => (All Z, (big_p Z Z)))) (big_p zenon_X0 T_1) (-. (big_p T_2 T_2)) ### All 6 % 0.18/0.41 8. (big_q (f zenon_X0 T_1)) (-. (big_q (f zenon_X0 T_1))) ### Axiom % 0.18/0.41 9. (big_p (g (f zenon_X0 T_1)) T_3) (-. (big_p (g (f zenon_X0 T_1)) T_3)) ### Axiom % 0.18/0.41 10. (-. (Ex Y, (big_p (g (f zenon_X0 T_1)) Y))) (big_p (g (f zenon_X0 T_1)) T_3) ### NotExists 9 % 0.18/0.41 11. ((Ex Y, (big_p (g (f zenon_X0 T_1)) Y)) => (All Z, (big_p Z Z))) (-. (big_p T_2 T_2)) (big_p (g (f zenon_X0 T_1)) T_3) ### Imply 10 5 % 0.18/0.41 12. (All X, ((Ex Y, (big_p X Y)) => (All Z, (big_p Z Z)))) (big_p (g (f zenon_X0 T_1)) T_3) (-. (big_p T_2 T_2)) ### All 11 % 0.18/0.41 13. (-. (big_m (g (f zenon_X0 T_1)))) (big_m (g (f zenon_X0 T_1))) ### Axiom % 0.18/0.41 14. ((big_m (g (f zenon_X0 T_1))) /\ (big_q (f (g (f zenon_X0 T_1)) T_3))) (-. (big_m (g (f zenon_X0 T_1)))) ### And 13 % 0.18/0.41 15. ((big_p (g (f zenon_X0 T_1)) T_3) \/ ((big_m (g (f zenon_X0 T_1))) /\ (big_q (f (g (f zenon_X0 T_1)) T_3)))) (-. (big_m (g (f zenon_X0 T_1)))) (-. (big_p T_2 T_2)) (All X, ((Ex Y, (big_p X Y)) => (All Z, (big_p Z Z)))) ### Or 12 14 % 0.18/0.41 16. (Ex V, ((big_p (g (f zenon_X0 T_1)) V) \/ ((big_m (g (f zenon_X0 T_1))) /\ (big_q (f (g (f zenon_X0 T_1)) V))))) (All X, ((Ex Y, (big_p X Y)) => (All Z, (big_p Z Z)))) (-. (big_p T_2 T_2)) (-. (big_m (g (f zenon_X0 T_1)))) ### Exists 15 % 0.18/0.41 17. (All U, (Ex V, ((big_p U V) \/ ((big_m U) /\ (big_q (f U V)))))) (-. (big_m (g (f zenon_X0 T_1)))) (-. (big_p T_2 T_2)) (All X, ((Ex Y, (big_p X Y)) => (All Z, (big_p Z Z)))) ### All 16 % 0.18/0.41 18. ((big_q (f zenon_X0 T_1)) => (-. (big_m (g (f zenon_X0 T_1))))) (All X, ((Ex Y, (big_p X Y)) => (All Z, (big_p Z Z)))) (-. (big_p T_2 T_2)) (All U, (Ex V, ((big_p U V) \/ ((big_m U) /\ (big_q (f U V)))))) (big_q (f zenon_X0 T_1)) ### Imply 8 17 % 0.18/0.41 19. (All W, ((big_q W) => (-. (big_m (g W))))) (big_q (f zenon_X0 T_1)) (All U, (Ex V, ((big_p U V) \/ ((big_m U) /\ (big_q (f U V)))))) (-. (big_p T_2 T_2)) (All X, ((Ex Y, (big_p X Y)) => (All Z, (big_p Z Z)))) ### All 18 % 0.18/0.41 20. ((big_m zenon_X0) /\ (big_q (f zenon_X0 T_1))) (All X, ((Ex Y, (big_p X Y)) => (All Z, (big_p Z Z)))) (-. (big_p T_2 T_2)) (All U, (Ex V, ((big_p U V) \/ ((big_m U) /\ (big_q (f U V)))))) (All W, ((big_q W) => (-. (big_m (g W))))) ### And 19 % 0.18/0.41 21. ((big_p zenon_X0 T_1) \/ ((big_m zenon_X0) /\ (big_q (f zenon_X0 T_1)))) (All W, ((big_q W) => (-. (big_m (g W))))) (All U, (Ex V, ((big_p U V) \/ ((big_m U) /\ (big_q (f U V)))))) (-. (big_p T_2 T_2)) (All X, ((Ex Y, (big_p X Y)) => (All Z, (big_p Z Z)))) ### Or 7 20 % 0.18/0.41 22. (Ex V, ((big_p zenon_X0 V) \/ ((big_m zenon_X0) /\ (big_q (f zenon_X0 V))))) (All X, ((Ex Y, (big_p X Y)) => (All Z, (big_p Z Z)))) (-. (big_p T_2 T_2)) (All U, (Ex V, ((big_p U V) \/ ((big_m U) /\ (big_q (f U V)))))) (All W, ((big_q W) => (-. (big_m (g W))))) ### Exists 21 % 0.18/0.41 23. (All W, ((big_q W) => (-. (big_m (g W))))) (All U, (Ex V, ((big_p U V) \/ ((big_m U) /\ (big_q (f U V)))))) (-. (big_p T_2 T_2)) (All X, ((Ex Y, (big_p X Y)) => (All Z, (big_p Z Z)))) ### All 22 % 0.18/0.41 24. (-. ((big_p (g T_2) (g T_2)) /\ (big_p T_2 T_2))) (All X, ((Ex Y, (big_p X Y)) => (All Z, (big_p Z Z)))) (All U, (Ex V, ((big_p U V) \/ ((big_m U) /\ (big_q (f U V)))))) (All W, ((big_q W) => (-. (big_m (g W))))) (big_p (g T_2) (g T_2)) ### NotAnd 3 23 % 0.18/0.41 25. (-. (Ex V, ((big_p (g T_2) V) /\ (big_p T_2 T_2)))) (big_p (g T_2) (g T_2)) (All W, ((big_q W) => (-. (big_m (g W))))) (All U, (Ex V, ((big_p U V) \/ ((big_m U) /\ (big_q (f U V)))))) (All X, ((Ex Y, (big_p X Y)) => (All Z, (big_p Z Z)))) ### NotExists 24 % 0.18/0.41 26. (All Z, (big_p Z Z)) (All X, ((Ex Y, (big_p X Y)) => (All Z, (big_p Z Z)))) (All U, (Ex V, ((big_p U V) \/ ((big_m U) /\ (big_q (f U V)))))) (All W, ((big_q W) => (-. (big_m (g W))))) (-. (Ex V, ((big_p (g T_2) V) /\ (big_p T_2 T_2)))) ### All 25 % 0.18/0.41 27. ((Ex Y, (big_p zenon_X0 Y)) => (All Z, (big_p Z Z))) (-. (Ex V, ((big_p (g T_2) V) /\ (big_p T_2 T_2)))) (All W, ((big_q W) => (-. (big_m (g W))))) (All U, (Ex V, ((big_p U V) \/ ((big_m U) /\ (big_q (f U V)))))) (All X, ((Ex Y, (big_p X Y)) => (All Z, (big_p Z Z)))) (big_p zenon_X0 T_1) ### Imply 2 26 % 0.18/0.41 28. (big_p zenon_X0 T_1) (All X, ((Ex Y, (big_p X Y)) => (All Z, (big_p Z Z)))) (All U, (Ex V, ((big_p U V) \/ ((big_m U) /\ (big_q (f U V)))))) (All W, ((big_q W) => (-. (big_m (g W))))) (-. (Ex V, ((big_p (g T_2) V) /\ (big_p T_2 T_2)))) ### All 27 % 0.18/0.41 29. (big_q (f zenon_X0 T_1)) (-. (big_q (f zenon_X0 T_1))) ### Axiom % 0.18/0.41 30. ((Ex Y, (big_p (g (f zenon_X0 T_1)) Y)) => (All Z, (big_p Z Z))) (-. (Ex V, ((big_p (g T_2) V) /\ (big_p T_2 T_2)))) (All W, ((big_q W) => (-. (big_m (g W))))) (All U, (Ex V, ((big_p U V) \/ ((big_m U) /\ (big_q (f U V)))))) (All X, ((Ex Y, (big_p X Y)) => (All Z, (big_p Z Z)))) (big_p (g (f zenon_X0 T_1)) T_3) ### Imply 10 26 % 0.18/0.41 31. (big_p (g (f zenon_X0 T_1)) T_3) (All X, ((Ex Y, (big_p X Y)) => (All Z, (big_p Z Z)))) (All U, (Ex V, ((big_p U V) \/ ((big_m U) /\ (big_q (f U V)))))) (All W, ((big_q W) => (-. (big_m (g W))))) (-. (Ex V, ((big_p (g T_2) V) /\ (big_p T_2 T_2)))) ### All 30 % 0.18/0.41 32. ((big_p (g (f zenon_X0 T_1)) T_3) \/ ((big_m (g (f zenon_X0 T_1))) /\ (big_q (f (g (f zenon_X0 T_1)) T_3)))) (-. (big_m (g (f zenon_X0 T_1)))) (-. (Ex V, ((big_p (g T_2) V) /\ (big_p T_2 T_2)))) (All W, ((big_q W) => (-. (big_m (g W))))) (All U, (Ex V, ((big_p U V) \/ ((big_m U) /\ (big_q (f U V)))))) (All X, ((Ex Y, (big_p X Y)) => (All Z, (big_p Z Z)))) ### Or 31 14 % 0.18/0.41 33. (Ex V, ((big_p (g (f zenon_X0 T_1)) V) \/ ((big_m (g (f zenon_X0 T_1))) /\ (big_q (f (g (f zenon_X0 T_1)) V))))) (All X, ((Ex Y, (big_p X Y)) => (All Z, (big_p Z Z)))) (All U, (Ex V, ((big_p U V) \/ ((big_m U) /\ (big_q (f U V)))))) (All W, ((big_q W) => (-. (big_m (g W))))) (-. (Ex V, ((big_p (g T_2) V) /\ (big_p T_2 T_2)))) (-. (big_m (g (f zenon_X0 T_1)))) ### Exists 32 % 0.18/0.41 34. (-. (big_m (g (f zenon_X0 T_1)))) (-. (Ex V, ((big_p (g T_2) V) /\ (big_p T_2 T_2)))) (All W, ((big_q W) => (-. (big_m (g W))))) (All U, (Ex V, ((big_p U V) \/ ((big_m U) /\ (big_q (f U V)))))) (All X, ((Ex Y, (big_p X Y)) => (All Z, (big_p Z Z)))) ### All 33 % 0.18/0.41 35. ((big_q (f zenon_X0 T_1)) => (-. (big_m (g (f zenon_X0 T_1))))) (All X, ((Ex Y, (big_p X Y)) => (All Z, (big_p Z Z)))) (All U, (Ex V, ((big_p U V) \/ ((big_m U) /\ (big_q (f U V)))))) (All W, ((big_q W) => (-. (big_m (g W))))) (-. (Ex V, ((big_p (g T_2) V) /\ (big_p T_2 T_2)))) (big_q (f zenon_X0 T_1)) ### Imply 29 34 % 0.18/0.41 36. (big_q (f zenon_X0 T_1)) (-. (Ex V, ((big_p (g T_2) V) /\ (big_p T_2 T_2)))) (All W, ((big_q W) => (-. (big_m (g W))))) (All U, (Ex V, ((big_p U V) \/ ((big_m U) /\ (big_q (f U V)))))) (All X, ((Ex Y, (big_p X Y)) => (All Z, (big_p Z Z)))) ### All 35 % 0.18/0.41 37. ((big_m zenon_X0) /\ (big_q (f zenon_X0 T_1))) (All X, ((Ex Y, (big_p X Y)) => (All Z, (big_p Z Z)))) (All U, (Ex V, ((big_p U V) \/ ((big_m U) /\ (big_q (f U V)))))) (All W, ((big_q W) => (-. (big_m (g W))))) (-. (Ex V, ((big_p (g T_2) V) /\ (big_p T_2 T_2)))) ### And 36 % 0.18/0.41 38. ((big_p zenon_X0 T_1) \/ ((big_m zenon_X0) /\ (big_q (f zenon_X0 T_1)))) (-. (Ex V, ((big_p (g T_2) V) /\ (big_p T_2 T_2)))) (All W, ((big_q W) => (-. (big_m (g W))))) (All U, (Ex V, ((big_p U V) \/ ((big_m U) /\ (big_q (f U V)))))) (All X, ((Ex Y, (big_p X Y)) => (All Z, (big_p Z Z)))) ### Or 28 37 % 0.18/0.41 39. (Ex V, ((big_p zenon_X0 V) \/ ((big_m zenon_X0) /\ (big_q (f zenon_X0 V))))) (All X, ((Ex Y, (big_p X Y)) => (All Z, (big_p Z Z)))) (All U, (Ex V, ((big_p U V) \/ ((big_m U) /\ (big_q (f U V)))))) (All W, ((big_q W) => (-. (big_m (g W))))) (-. (Ex V, ((big_p (g T_2) V) /\ (big_p T_2 T_2)))) ### Exists 38 % 0.18/0.41 40. (-. (Ex V, ((big_p (g T_2) V) /\ (big_p T_2 T_2)))) (All W, ((big_q W) => (-. (big_m (g W))))) (All U, (Ex V, ((big_p U V) \/ ((big_m U) /\ (big_q (f U V)))))) (All X, ((Ex Y, (big_p X Y)) => (All Z, (big_p Z Z)))) ### All 39 % 0.18/0.41 41. (-. (All U, (Ex V, ((big_p (g U) V) /\ (big_p U U))))) (All X, ((Ex Y, (big_p X Y)) => (All Z, (big_p Z Z)))) (All U, (Ex V, ((big_p U V) \/ ((big_m U) /\ (big_q (f U V)))))) (All W, ((big_q W) => (-. (big_m (g W))))) ### NotAllEx 40 % 0.18/0.41 42. (-. (((All X, ((Ex Y, (big_p X Y)) => (All Z, (big_p Z Z)))) /\ ((All U, (Ex V, ((big_p U V) \/ ((big_m U) /\ (big_q (f U V)))))) /\ (All W, ((big_q W) => (-. (big_m (g W))))))) => (All U, (Ex V, ((big_p (g U) V) /\ (big_p U U)))))) ### ConjTree 41 % 0.18/0.41 % SZS output end Proof % 0.18/0.41 (* END-PROOF *) %------------------------------------------------------------------------------