%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : COM141+1 : TPTP v8.1.0. Released v6.4.0. % 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 : Fri Jul 15 01:53:24 EDT 2022 % Result : Theorem 0.39s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : COM141+1 : TPTP v8.1.0. Released v6.4.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.12/0.34 % Computer : n017.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % 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 : Thu Jun 16 16:38:56 EDT 2022 % 0.12/0.34 % CPUTime : % 0.39/0.57 (* PROOF-FOUND *) % 0.39/0.57 % SZS status Theorem % 0.39/0.57 (* BEGIN-PROOF *) % 0.39/0.57 % SZS output start Proof % 0.39/0.57 Theorem T-Weak-abs : (forall Vx : zenon_U, (forall VS : zenon_U, (forall VC : zenon_U, (forall Vy : zenon_U, (forall VS1 : zenon_U, (forall VT : zenon_U, ((((vlookup Vx VC) = (vnoType))/\(vtcheck VC (vabs Vy VS1 (veabs)) VT))->(vtcheck (vbind Vx VS VC) (vabs Vy VS1 (veabs)) VT)))))))). % 0.39/0.57 Proof. % 0.39/0.57 apply NNPP. intro zenon_G. % 0.39/0.57 apply (zenon_notallex_s (fun Vx : zenon_U => (forall VS : zenon_U, (forall VC : zenon_U, (forall Vy : zenon_U, (forall VS1 : zenon_U, (forall VT : zenon_U, ((((vlookup Vx VC) = (vnoType))/\(vtcheck VC (vabs Vy VS1 (veabs)) VT))->(vtcheck (vbind Vx VS VC) (vabs Vy VS1 (veabs)) VT)))))))) zenon_G); [ zenon_intro zenon_H3a; idtac ]. % 0.39/0.57 elim zenon_H3a. zenon_intro zenon_TVx_ch. zenon_intro zenon_H3c. % 0.39/0.57 apply (zenon_notallex_s (fun VS : zenon_U => (forall VC : zenon_U, (forall Vy : zenon_U, (forall VS1 : zenon_U, (forall VT : zenon_U, ((((vlookup zenon_TVx_ch VC) = (vnoType))/\(vtcheck VC (vabs Vy VS1 (veabs)) VT))->(vtcheck (vbind zenon_TVx_ch VS VC) (vabs Vy VS1 (veabs)) VT))))))) zenon_H3c); [ zenon_intro zenon_H3d; idtac ]. % 0.39/0.57 elim zenon_H3d. zenon_intro zenon_TVS_ck. zenon_intro zenon_H3f. % 0.39/0.57 apply (zenon_notallex_s (fun VC : zenon_U => (forall Vy : zenon_U, (forall VS1 : zenon_U, (forall VT : zenon_U, ((((vlookup zenon_TVx_ch VC) = (vnoType))/\(vtcheck VC (vabs Vy VS1 (veabs)) VT))->(vtcheck (vbind zenon_TVx_ch zenon_TVS_ck VC) (vabs Vy VS1 (veabs)) VT)))))) zenon_H3f); [ zenon_intro zenon_H40; idtac ]. % 0.39/0.57 elim zenon_H40. zenon_intro zenon_TVC_cn. zenon_intro zenon_H42. % 0.39/0.57 apply (zenon_notallex_s (fun Vy : zenon_U => (forall VS1 : zenon_U, (forall VT : zenon_U, ((((vlookup zenon_TVx_ch zenon_TVC_cn) = (vnoType))/\(vtcheck zenon_TVC_cn (vabs Vy VS1 (veabs)) VT))->(vtcheck (vbind zenon_TVx_ch zenon_TVS_ck zenon_TVC_cn) (vabs Vy VS1 (veabs)) VT))))) zenon_H42); [ zenon_intro zenon_H43; idtac ]. % 0.39/0.57 elim zenon_H43. zenon_intro zenon_TVy_cq. zenon_intro zenon_H45. % 0.39/0.57 apply (zenon_notallex_s (fun VS1 : zenon_U => (forall VT : zenon_U, ((((vlookup zenon_TVx_ch zenon_TVC_cn) = (vnoType))/\(vtcheck zenon_TVC_cn (vabs zenon_TVy_cq VS1 (veabs)) VT))->(vtcheck (vbind zenon_TVx_ch zenon_TVS_ck zenon_TVC_cn) (vabs zenon_TVy_cq VS1 (veabs)) VT)))) zenon_H45); [ zenon_intro zenon_H46; idtac ]. % 0.39/0.57 elim zenon_H46. zenon_intro zenon_TVS1_ct. zenon_intro zenon_H48. % 0.39/0.57 apply (zenon_notallex_s (fun VT : zenon_U => ((((vlookup zenon_TVx_ch zenon_TVC_cn) = (vnoType))/\(vtcheck zenon_TVC_cn (vabs zenon_TVy_cq zenon_TVS1_ct (veabs)) VT))->(vtcheck (vbind zenon_TVx_ch zenon_TVS_ck zenon_TVC_cn) (vabs zenon_TVy_cq zenon_TVS1_ct (veabs)) VT))) zenon_H48); [ zenon_intro zenon_H49; idtac ]. % 0.39/0.57 elim zenon_H49. zenon_intro zenon_TVT_cw. zenon_intro zenon_H4b. % 0.39/0.57 apply (zenon_notimply_s _ _ zenon_H4b). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.39/0.57 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.39/0.57 generalize (T-Weak-abs-2 zenon_TVx_ch). zenon_intro zenon_H50. % 0.39/0.57 generalize (T-Weak-abs-1 zenon_TVx_ch). zenon_intro zenon_H51. % 0.39/0.57 generalize (zenon_H50 zenon_TVS_ck). zenon_intro zenon_H52. % 0.39/0.57 generalize (zenon_H51 zenon_TVS_ck). zenon_intro zenon_H53. % 0.39/0.57 generalize (zenon_H52 zenon_TVC_cn). zenon_intro zenon_H54. % 0.39/0.57 generalize (zenon_H53 zenon_TVC_cn). zenon_intro zenon_H55. % 0.39/0.57 generalize (zenon_H54 zenon_TVy_cq). zenon_intro zenon_H56. % 0.39/0.57 generalize (zenon_H55 zenon_TVy_cq). zenon_intro zenon_H57. % 0.39/0.57 generalize (zenon_H56 zenon_TVS1_ct). zenon_intro zenon_H58. % 0.39/0.57 generalize (zenon_H57 zenon_TVS1_ct). zenon_intro zenon_H59. % 0.39/0.57 generalize (zenon_H58 zenon_TVT_cw). zenon_intro zenon_H5a. % 0.39/0.57 apply (zenon_imply_s _ _ zenon_H5a); [ zenon_intro zenon_H5c | zenon_intro zenon_H5b ]. % 0.39/0.57 apply (zenon_notand_s _ _ zenon_H5c); [ zenon_intro zenon_H5e | zenon_intro zenon_H5d ]. % 0.39/0.57 generalize (zenon_H59 zenon_TVT_cw). zenon_intro zenon_H5f. % 0.39/0.57 apply (zenon_imply_s _ _ zenon_H5f); [ zenon_intro zenon_H60 | zenon_intro zenon_H5b ]. % 0.39/0.57 apply (zenon_notand_s _ _ zenon_H60); [ zenon_intro zenon_H61 | zenon_intro zenon_H5d ]. % 0.39/0.57 exact (zenon_H61 zenon_H5e). % 0.39/0.57 apply (zenon_notand_s _ _ zenon_H5d); [ zenon_intro zenon_H63 | zenon_intro zenon_H62 ]. % 0.39/0.57 exact (zenon_H63 zenon_H4f). % 0.39/0.57 exact (zenon_H62 zenon_H4e). % 0.39/0.57 exact (zenon_H4c zenon_H5b). % 0.39/0.57 apply (zenon_notand_s _ _ zenon_H5d); [ zenon_intro zenon_H63 | zenon_intro zenon_H62 ]. % 0.39/0.57 exact (zenon_H63 zenon_H4f). % 0.39/0.57 exact (zenon_H62 zenon_H4e). % 0.39/0.57 exact (zenon_H4c zenon_H5b). % 0.39/0.57 Qed. % 0.39/0.57 % SZS output end Proof % 0.39/0.57 (* END-PROOF *) % 0.39/0.57 nodes searched: 1222 % 0.39/0.57 max branch formulas: 974 % 0.39/0.57 proof nodes created: 108 % 0.39/0.57 formulas created: 13613 % 0.39/0.57 %------------------------------------------------------------------------------