%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : PUZ001+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 : n024.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 : Mon Jul 18 18:27:46 EDT 2022 % Result : Theorem 0.13s 0.43s % Output : Proof 0.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.09 % Problem : PUZ001+1 : TPTP v8.1.0. Released v2.0.0. % 0.00/0.09 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.09/0.29 % Computer : n024.cluster.edu % 0.09/0.29 % Model : x86_64 x86_64 % 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.29 % Memory : 8042.1875MB % 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64 % 0.09/0.29 % CPULimit : 300 % 0.09/0.29 % WCLimit : 600 % 0.09/0.29 % DateTime : Sat May 28 22:22:21 EDT 2022 % 0.13/0.29 % CPUTime : % 0.13/0.43 % SZS status Theorem % 0.13/0.43 (* PROOF-FOUND *) % 0.13/0.43 (* BEGIN-PROOF *) % 0.13/0.43 % SZS output start Proof % 0.13/0.43 1. (lives T_0) (-. (lives T_0)) ### Axiom % 0.13/0.43 2. (T_0 = (agatha)) (T_0 != (agatha)) ### Axiom % 0.13/0.43 3. ((agatha) != (agatha)) ### NotEqual % 0.13/0.43 4. (-. (killed (agatha) (agatha))) (killed T_0 (agatha)) (T_0 = (agatha)) ### P-NotP 2 3 % 0.13/0.43 5. (killed T_0 (agatha)) (-. (killed T_0 (agatha))) ### Axiom % 0.13/0.43 6. (-. (richer T_0 (agatha))) (richer T_0 (agatha)) ### Axiom % 0.13/0.43 7. (-. (-. (richer T_0 (agatha)))) (-. (richer T_0 (agatha))) ### NotNot 6 % 0.13/0.43 8. ((butler) != (butler)) ### NotEqual % 0.13/0.43 9. (T_0 != T_0) ### Refl(=) % 0.13/0.43 10. (T_1 = (butler)) ((butler) != T_1) ### Sym(=) % 0.13/0.43 11. (T_0 != T_1) (T_0 = (butler)) (T_1 = (butler)) ### Trans 9 10 % 0.13/0.43 12. (-. (hates (butler) T_1)) (hates (butler) T_0) (T_1 = (butler)) (T_0 = (butler)) ### P-NotP 8 11 % 0.13/0.43 13. ((-. (richer T_0 (agatha))) => (hates (butler) T_0)) (T_0 = (butler)) (T_1 = (butler)) (-. (hates (butler) T_1)) (-. (richer T_0 (agatha))) ### Imply 7 12 % 0.13/0.43 14. (All X, ((-. (richer X (agatha))) => (hates (butler) X))) (-. (richer T_0 (agatha))) (-. (hates (butler) T_1)) (T_1 = (butler)) (T_0 = (butler)) ### All 13 % 0.13/0.43 15. ((killed T_0 (agatha)) => (-. (richer T_0 (agatha)))) (T_0 = (butler)) (T_1 = (butler)) (-. (hates (butler) T_1)) (All X, ((-. (richer X (agatha))) => (hates (butler) X))) (killed T_0 (agatha)) ### Imply 5 14 % 0.13/0.43 16. (All Y, ((killed T_0 Y) => (-. (richer T_0 Y)))) (killed T_0 (agatha)) (All X, ((-. (richer X (agatha))) => (hates (butler) X))) (-. (hates (butler) T_1)) (T_1 = (butler)) (T_0 = (butler)) ### All 15 % 0.13/0.43 17. (All X, (All Y, ((killed X Y) => (-. (richer X Y))))) (T_0 = (butler)) (T_1 = (butler)) (-. (hates (butler) T_1)) (All X, ((-. (richer X (agatha))) => (hates (butler) X))) (killed T_0 (agatha)) ### All 16 % 0.13/0.43 18. (-. (T_1 != (butler))) (killed T_0 (agatha)) (All X, ((-. (richer X (agatha))) => (hates (butler) X))) (-. (hates (butler) T_1)) (T_0 = (butler)) (All X, (All Y, ((killed X Y) => (-. (richer X Y))))) ### NotNot 17 % 0.13/0.43 19. (-. (hates (agatha) T_1)) (hates (agatha) T_1) ### Axiom % 0.13/0.43 20. ((T_1 != (butler)) => (hates (agatha) T_1)) (-. (hates (agatha) T_1)) (All X, (All Y, ((killed X Y) => (-. (richer X Y))))) (T_0 = (butler)) (-. (hates (butler) T_1)) (All X, ((-. (richer X (agatha))) => (hates (butler) X))) (killed T_0 (agatha)) ### Imply 18 19 % 0.13/0.43 21. (All X, ((X != (butler)) => (hates (agatha) X))) (killed T_0 (agatha)) (All X, ((-. (richer X (agatha))) => (hates (butler) X))) (-. (hates (butler) T_1)) (T_0 = (butler)) (All X, (All Y, ((killed X Y) => (-. (richer X Y))))) (-. (hates (agatha) T_1)) ### All 20 % 0.13/0.43 22. (-. (hates (butler) T_1)) (hates (butler) T_1) ### Axiom % 0.13/0.43 23. ((hates (agatha) T_1) => (hates (butler) T_1)) (All X, (All Y, ((killed X Y) => (-. (richer X Y))))) (T_0 = (butler)) (-. (hates (butler) T_1)) (All X, ((-. (richer X (agatha))) => (hates (butler) X))) (killed T_0 (agatha)) (All X, ((X != (butler)) => (hates (agatha) X))) ### Imply 21 22 % 0.13/0.43 24. (All X, ((hates (agatha) X) => (hates (butler) X))) (All X, ((X != (butler)) => (hates (agatha) X))) (killed T_0 (agatha)) (All X, ((-. (richer X (agatha))) => (hates (butler) X))) (-. (hates (butler) T_1)) (T_0 = (butler)) (All X, (All Y, ((killed X Y) => (-. (richer X Y))))) ### All 23 % 0.13/0.43 25. (Ex Y, (-. (hates (butler) Y))) (All X, (All Y, ((killed X Y) => (-. (richer X Y))))) (T_0 = (butler)) (All X, ((-. (richer X (agatha))) => (hates (butler) X))) (killed T_0 (agatha)) (All X, ((X != (butler)) => (hates (agatha) X))) (All X, ((hates (agatha) X) => (hates (butler) X))) ### Exists 24 % 0.13/0.43 26. (All X, (Ex Y, (-. (hates X Y)))) (All X, ((hates (agatha) X) => (hates (butler) X))) (All X, ((X != (butler)) => (hates (agatha) X))) (killed T_0 (agatha)) (All X, ((-. (richer X (agatha))) => (hates (butler) X))) (T_0 = (butler)) (All X, (All Y, ((killed X Y) => (-. (richer X Y))))) ### All 25 % 0.13/0.43 27. ((agatha) != (butler)) ((agatha) = (butler)) ### Axiom % 0.13/0.43 28. (-. ((agatha) != (butler))) ((agatha) != (butler)) ### NotNot 27 % 0.13/0.43 29. (hates (agatha) (agatha)) (-. (hates (agatha) (agatha))) ### Axiom % 0.13/0.43 30. (killed T_0 (agatha)) (-. (killed T_0 (agatha))) ### Axiom % 0.13/0.43 31. (T_0 = (charles)) (T_0 != (charles)) ### Axiom % 0.13/0.43 32. (-. (hates (charles) (agatha))) (hates T_0 (agatha)) (T_0 = (charles)) ### P-NotP 31 3 % 0.13/0.43 33. ((killed T_0 (agatha)) => (hates T_0 (agatha))) (T_0 = (charles)) (-. (hates (charles) (agatha))) (killed T_0 (agatha)) ### Imply 30 32 % 0.13/0.43 34. (All Y, ((killed T_0 Y) => (hates T_0 Y))) (killed T_0 (agatha)) (-. (hates (charles) (agatha))) (T_0 = (charles)) ### All 33 % 0.13/0.43 35. (All X, (All Y, ((killed X Y) => (hates X Y)))) (T_0 = (charles)) (-. (hates (charles) (agatha))) (killed T_0 (agatha)) ### All 34 % 0.13/0.43 36. ((hates (agatha) (agatha)) => (-. (hates (charles) (agatha)))) (killed T_0 (agatha)) (T_0 = (charles)) (All X, (All Y, ((killed X Y) => (hates X Y)))) (hates (agatha) (agatha)) ### Imply 29 35 % 0.13/0.43 37. (All X, ((hates (agatha) X) => (-. (hates (charles) X)))) (hates (agatha) (agatha)) (All X, (All Y, ((killed X Y) => (hates X Y)))) (T_0 = (charles)) (killed T_0 (agatha)) ### All 36 % 0.13/0.43 38. (((agatha) != (butler)) => (hates (agatha) (agatha))) (killed T_0 (agatha)) (T_0 = (charles)) (All X, (All Y, ((killed X Y) => (hates X Y)))) (All X, ((hates (agatha) X) => (-. (hates (charles) X)))) ((agatha) != (butler)) ### Imply 28 37 % 0.13/0.43 39. (All X, ((X != (butler)) => (hates (agatha) X))) ((agatha) != (butler)) (All X, ((hates (agatha) X) => (-. (hates (charles) X)))) (All X, (All Y, ((killed X Y) => (hates X Y)))) (T_0 = (charles)) (killed T_0 (agatha)) ### All 38 % 0.13/0.43 40. ((lives T_0) => ((T_0 = (agatha)) \/ ((T_0 = (butler)) \/ (T_0 = (charles))))) (All X, (All Y, ((killed X Y) => (hates X Y)))) (All X, ((hates (agatha) X) => (-. (hates (charles) X)))) ((agatha) != (butler)) (All X, (All Y, ((killed X Y) => (-. (richer X Y))))) (All X, ((-. (richer X (agatha))) => (hates (butler) X))) (All X, ((X != (butler)) => (hates (agatha) X))) (All X, ((hates (agatha) X) => (hates (butler) X))) (All X, (Ex Y, (-. (hates X Y)))) (killed T_0 (agatha)) (-. (killed (agatha) (agatha))) (lives T_0) ### DisjTree 1 4 26 39 % 0.13/0.43 41. (All X, ((lives X) => ((X = (agatha)) \/ ((X = (butler)) \/ (X = (charles)))))) (lives T_0) (-. (killed (agatha) (agatha))) (killed T_0 (agatha)) (All X, (Ex Y, (-. (hates X Y)))) (All X, ((hates (agatha) X) => (hates (butler) X))) (All X, ((X != (butler)) => (hates (agatha) X))) (All X, ((-. (richer X (agatha))) => (hates (butler) X))) (All X, (All Y, ((killed X Y) => (-. (richer X Y))))) ((agatha) != (butler)) (All X, ((hates (agatha) X) => (-. (hates (charles) X)))) (All X, (All Y, ((killed X Y) => (hates X Y)))) ### All 40 % 0.13/0.43 42. ((lives T_0) /\ (killed T_0 (agatha))) (All X, (All Y, ((killed X Y) => (hates X Y)))) (All X, ((hates (agatha) X) => (-. (hates (charles) X)))) ((agatha) != (butler)) (All X, (All Y, ((killed X Y) => (-. (richer X Y))))) (All X, ((-. (richer X (agatha))) => (hates (butler) X))) (All X, ((X != (butler)) => (hates (agatha) X))) (All X, ((hates (agatha) X) => (hates (butler) X))) (All X, (Ex Y, (-. (hates X Y)))) (-. (killed (agatha) (agatha))) (All X, ((lives X) => ((X = (agatha)) \/ ((X = (butler)) \/ (X = (charles)))))) ### And 41 % 0.13/0.43 43. (Ex X, ((lives X) /\ (killed X (agatha)))) (All X, ((lives X) => ((X = (agatha)) \/ ((X = (butler)) \/ (X = (charles)))))) (-. (killed (agatha) (agatha))) (All X, (Ex Y, (-. (hates X Y)))) (All X, ((hates (agatha) X) => (hates (butler) X))) (All X, ((X != (butler)) => (hates (agatha) X))) (All X, ((-. (richer X (agatha))) => (hates (butler) X))) (All X, (All Y, ((killed X Y) => (-. (richer X Y))))) ((agatha) != (butler)) (All X, ((hates (agatha) X) => (-. (hates (charles) X)))) (All X, (All Y, ((killed X Y) => (hates X Y)))) ### Exists 42 % 0.13/0.43 % SZS output end Proof % 0.13/0.43 (* END-PROOF *) %------------------------------------------------------------------------------