%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : RNG112+4 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n017.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 20:48:29 EDT 2022 % Result : Theorem 0.82s 1.01s % Output : Proof 0.82s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : RNG112+4 : TPTP v8.1.0. Released v4.0.0. % 0.07/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n017.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 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Mon May 30 04:46:09 EDT 2022 % 0.12/0.34 % CPUTime : % 0.82/1.01 (* PROOF-FOUND *) % 0.82/1.01 % SZS status Theorem % 0.82/1.01 (* BEGIN-PROOF *) % 0.82/1.01 % SZS output start Proof % 0.82/1.01 Theorem m__ : (exists W0 : zenon_U, (((exists W1 : zenon_U, (exists W2 : zenon_U, ((aElementOf0 W1 (slsdtgt0 (xa)))/\((aElementOf0 W2 (slsdtgt0 (xb)))/\((sdtpldt0 W1 W2) = W0)))))\/(aElementOf0 W0 (xI)))/\((~(W0 = (sz00)))/\(forall W1 : zenon_U, (((exists W2 : zenon_U, (exists W3 : zenon_U, ((aElementOf0 W2 (slsdtgt0 (xa)))/\((aElementOf0 W3 (slsdtgt0 (xb)))/\((sdtpldt0 W2 W3) = W1)))))/\((aElementOf0 W1 (xI))/\(~(W1 = (sz00)))))->(~(iLess0 (sbrdtbr0 W1) (sbrdtbr0 W0)))))))). % 0.82/1.01 Proof. % 0.82/1.01 assert (zenon_L1_ : (exists W1 : zenon_U, ((exists W2 : zenon_U, (exists W3 : zenon_U, ((aElementOf0 W2 (slsdtgt0 (xa)))/\((aElementOf0 W3 (slsdtgt0 (xb)))/\((sdtpldt0 W2 W3) = W1)))))/\((aElementOf0 W1 (xI))/\((~(W1 = (sz00)))/\(forall W2 : zenon_U, ((((exists W3 : zenon_U, (exists W4 : zenon_U, ((aElementOf0 W3 (slsdtgt0 (xa)))/\((aElementOf0 W4 (slsdtgt0 (xb)))/\((sdtpldt0 W3 W4) = W2)))))\/(aElementOf0 W2 (xI)))/\(~(W2 = (sz00))))->(~(iLess0 (sbrdtbr0 W2) (sbrdtbr0 W1))))))))) -> (~(exists W0 : zenon_U, (((exists W1 : zenon_U, (exists W2 : zenon_U, ((aElementOf0 W1 (slsdtgt0 (xa)))/\((aElementOf0 W2 (slsdtgt0 (xb)))/\((sdtpldt0 W1 W2) = W0)))))\/(aElementOf0 W0 (xI)))/\((~(W0 = (sz00)))/\(forall W1 : zenon_U, (((exists W2 : zenon_U, (exists W3 : zenon_U, ((aElementOf0 W2 (slsdtgt0 (xa)))/\((aElementOf0 W3 (slsdtgt0 (xb)))/\((sdtpldt0 W2 W3) = W1)))))/\((aElementOf0 W1 (xI))/\(~(W1 = (sz00)))))->(~(iLess0 (sbrdtbr0 W1) (sbrdtbr0 W0))))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H2e zenon_G. % 0.82/1.01 elim zenon_H2e. zenon_intro zenon_TW1_bv. zenon_intro zenon_H30. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H32. zenon_intro zenon_H31. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H34. zenon_intro zenon_H33. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H36. zenon_intro zenon_H35. % 0.82/1.01 apply zenon_G. exists zenon_TW1_bv. apply NNPP. zenon_intro zenon_H37. % 0.82/1.01 apply (zenon_notand_s _ _ zenon_H37); [ zenon_intro zenon_H39 | zenon_intro zenon_H38 ]. % 0.82/1.01 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3b. zenon_intro zenon_H3a. % 0.82/1.01 exact (zenon_H3b zenon_H32). % 0.82/1.01 apply (zenon_notand_s _ _ zenon_H38); [ zenon_intro zenon_H3d | zenon_intro zenon_H3c ]. % 0.82/1.01 exact (zenon_H3d zenon_H36). % 0.82/1.01 apply (zenon_notallex_s (fun W1 : zenon_U => (((exists W2 : zenon_U, (exists W3 : zenon_U, ((aElementOf0 W2 (slsdtgt0 (xa)))/\((aElementOf0 W3 (slsdtgt0 (xb)))/\((sdtpldt0 W2 W3) = W1)))))/\((aElementOf0 W1 (xI))/\(~(W1 = (sz00)))))->(~(iLess0 (sbrdtbr0 W1) (sbrdtbr0 zenon_TW1_bv))))) zenon_H3c); [ zenon_intro zenon_H3e; idtac ]. % 0.82/1.01 elim zenon_H3e. zenon_intro zenon_TW1_cl. zenon_intro zenon_H40. % 0.82/1.01 apply (zenon_notimply_s _ _ zenon_H40). zenon_intro zenon_H42. zenon_intro zenon_H41. % 0.82/1.01 apply zenon_H41. zenon_intro zenon_H43. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.82/1.01 generalize (zenon_H35 zenon_TW1_cl). zenon_intro zenon_H48. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H48); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ]. % 0.82/1.01 apply (zenon_notand_s _ _ zenon_H4a); [ zenon_intro zenon_H4c | zenon_intro zenon_H4b ]. % 0.82/1.01 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4e. zenon_intro zenon_H4d. % 0.82/1.01 exact (zenon_H4e zenon_H45). % 0.82/1.01 exact (zenon_H4b zenon_H46). % 0.82/1.01 exact (zenon_H49 zenon_H43). % 0.82/1.01 (* end of lemma zenon_L1_ *) % 0.82/1.01 apply NNPP. intro zenon_G. % 0.82/1.01 elim m__2228. zenon_intro zenon_TW0_db. zenon_intro zenon_H50. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H52. zenon_intro zenon_H51. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H54. zenon_intro zenon_H53. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H58. zenon_intro zenon_H57. % 0.82/1.01 apply zenon_G. exists zenon_TW0_db. apply NNPP. zenon_intro zenon_H59. % 0.82/1.01 apply (zenon_notand_s _ _ zenon_H59); [ zenon_intro zenon_H5b | zenon_intro zenon_H5a ]. % 0.82/1.01 apply (zenon_notor_s _ _ zenon_H5b). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.82/1.01 exact (zenon_H5d zenon_H56). % 0.82/1.01 apply (zenon_notand_s _ _ zenon_H5a); [ zenon_intro zenon_H5f | zenon_intro zenon_H5e ]. % 0.82/1.01 exact (zenon_H5f zenon_H57). % 0.82/1.01 apply (zenon_notallex_s (fun W1 : zenon_U => (((exists W2 : zenon_U, (exists W3 : zenon_U, ((aElementOf0 W2 (slsdtgt0 (xa)))/\((aElementOf0 W3 (slsdtgt0 (xb)))/\((sdtpldt0 W2 W3) = W1)))))/\((aElementOf0 W1 (xI))/\(~(W1 = (sz00)))))->(~(iLess0 (sbrdtbr0 W1) (sbrdtbr0 zenon_TW0_db))))) zenon_H5e); [ zenon_intro zenon_H60; idtac ]. % 0.82/1.01 elim zenon_H60. zenon_intro zenon_TW1_dt. zenon_intro zenon_H62. % 0.82/1.01 apply (zenon_notimply_s _ _ zenon_H62). zenon_intro zenon_H64. zenon_intro zenon_H63. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.82/1.01 generalize (m__2351 zenon_TW1_dt). zenon_intro zenon_H69. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H69); [ zenon_intro zenon_H6a | zenon_intro zenon_H2e ]. % 0.82/1.01 apply (zenon_notand_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 0.82/1.01 apply (zenon_notor_s _ _ zenon_H6c). zenon_intro zenon_H6e. zenon_intro zenon_H6d. % 0.82/1.01 exact (zenon_H6e zenon_H66). % 0.82/1.01 exact (zenon_H6b zenon_H67). % 0.82/1.01 apply (zenon_L1_); trivial. % 0.82/1.01 Qed. % 0.82/1.01 % SZS output end Proof % 0.82/1.01 (* END-PROOF *) % 0.82/1.01 nodes searched: 9262 % 0.82/1.01 max branch formulas: 1969 % 0.82/1.01 proof nodes created: 282 % 0.82/1.01 formulas created: 46507 % 0.82/1.01 %------------------------------------------------------------------------------