%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : COM147+1 : TPTP v8.1.0. Released v6.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n022.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 01:53:25 EDT 2022 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : COM147+1 : TPTP v8.1.0. Released v6.4.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.12/0.34 % Computer : n022.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 19:10:17 EDT 2022 % 0.12/0.34 % CPUTime : % 0.38/0.56 (* PROOF-FOUND *) % 0.38/0.56 % SZS status Theorem % 0.38/0.56 (* BEGIN-PROOF *) % 0.38/0.56 % SZS output start Proof % 0.38/0.56 Theorem T-Progress-T-abs : (forall VTin : zenon_U, (forall Vx : zenon_U, (forall VS : zenon_U, (((vtcheck (vempty) (vabs Vx VS (ve1)) VTin)/\(~(visValue (vabs Vx VS (ve1)))))->(exists Veout : zenon_U, ((vreduce (vabs Vx VS (ve1))) = (vsomeExp Veout))))))). % 0.38/0.56 Proof. % 0.38/0.56 apply NNPP. intro zenon_G. % 0.38/0.56 apply (zenon_notallex_s (fun VTin : zenon_U => (forall Vx : zenon_U, (forall VS : zenon_U, (((vtcheck (vempty) (vabs Vx VS (ve1)) VTin)/\(~(visValue (vabs Vx VS (ve1)))))->(exists Veout : zenon_U, ((vreduce (vabs Vx VS (ve1))) = (vsomeExp Veout))))))) zenon_G); [ zenon_intro zenon_H3a; idtac ]. % 0.38/0.56 elim zenon_H3a. zenon_intro zenon_TVTin_ch. zenon_intro zenon_H3c. % 0.38/0.56 apply (zenon_notallex_s (fun Vx : zenon_U => (forall VS : zenon_U, (((vtcheck (vempty) (vabs Vx VS (ve1)) zenon_TVTin_ch)/\(~(visValue (vabs Vx VS (ve1)))))->(exists Veout : zenon_U, ((vreduce (vabs Vx VS (ve1))) = (vsomeExp Veout)))))) zenon_H3c); [ zenon_intro zenon_H3d; idtac ]. % 0.38/0.56 elim zenon_H3d. zenon_intro zenon_TVx_ck. zenon_intro zenon_H3f. % 0.38/0.56 apply (zenon_notallex_s (fun VS : zenon_U => (((vtcheck (vempty) (vabs zenon_TVx_ck VS (ve1)) zenon_TVTin_ch)/\(~(visValue (vabs zenon_TVx_ck VS (ve1)))))->(exists Veout : zenon_U, ((vreduce (vabs zenon_TVx_ck VS (ve1))) = (vsomeExp Veout))))) zenon_H3f); [ zenon_intro zenon_H40; idtac ]. % 0.38/0.56 elim zenon_H40. zenon_intro zenon_TVS_cn. zenon_intro zenon_H42. % 0.38/0.56 apply (zenon_notimply_s _ _ zenon_H42). zenon_intro zenon_H44. zenon_intro zenon_H43. % 0.38/0.56 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H46. zenon_intro zenon_H45. % 0.38/0.56 generalize (isValue0 zenon_TVx_ck). zenon_intro zenon_H47. % 0.38/0.56 generalize (zenon_H47 zenon_TVS_cn). zenon_intro zenon_H48. % 0.38/0.56 generalize (zenon_H48 (ve1)). zenon_intro zenon_H49. % 0.38/0.56 generalize (zenon_H49 (vabs zenon_TVx_ck zenon_TVS_cn (ve1))). zenon_intro zenon_H4a. % 0.38/0.56 apply (zenon_imply_s _ _ zenon_H4a); [ zenon_intro zenon_H4c | zenon_intro zenon_H4b ]. % 0.38/0.56 apply zenon_H4c. apply refl_equal. % 0.38/0.56 exact (zenon_H45 zenon_H4b). % 0.38/0.56 Qed. % 0.38/0.56 % SZS output end Proof % 0.38/0.56 (* END-PROOF *) % 0.38/0.56 nodes searched: 828 % 0.38/0.56 max branch formulas: 834 % 0.38/0.56 proof nodes created: 41 % 0.38/0.56 formulas created: 12058 % 0.38/0.56 %------------------------------------------------------------------------------