%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : KRS178+1 : TPTP v8.1.0. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n028.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 : Sun Jul 17 03:39:41 EDT 2022 % Result : Theorem 0.17s 0.48s % Output : Proof 0.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.10 % Problem : KRS178+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 0.03/0.11 % Command : run_zenon %s %d % 0.10/0.31 % Computer : n028.cluster.edu % 0.10/0.31 % Model : x86_64 x86_64 % 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.31 % Memory : 8042.1875MB % 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.31 % CPULimit : 300 % 0.10/0.31 % WCLimit : 600 % 0.10/0.31 % DateTime : Tue Jun 7 17:15:15 EDT 2022 % 0.10/0.32 % CPUTime : % 0.17/0.48 (* PROOF-FOUND *) % 0.17/0.48 % SZS status Theorem % 0.17/0.48 (* BEGIN-PROOF *) % 0.17/0.48 % SZS output start Proof % 0.17/0.48 Theorem isa_reflexive : (forall S1 : zenon_U, (isa S1 S1)). % 0.17/0.48 Proof. % 0.17/0.48 apply NNPP. intro zenon_G. % 0.17/0.48 apply (zenon_notallex_s (fun S1 : zenon_U => (isa S1 S1)) zenon_G); [ zenon_intro zenon_He; idtac ]. % 0.17/0.48 elim zenon_He. zenon_intro zenon_TS1_p. zenon_intro zenon_H10. % 0.17/0.48 generalize (isa zenon_TS1_p). zenon_intro zenon_H11. % 0.17/0.48 generalize (zenon_H11 zenon_TS1_p). zenon_intro zenon_H12. % 0.17/0.48 apply (zenon_equiv_s _ _ zenon_H12); [ zenon_intro zenon_H15; zenon_intro zenon_H10 | zenon_intro zenon_H14; zenon_intro zenon_H13 ]. % 0.17/0.48 apply (zenon_notallex_s (fun Ax : zenon_U => (forall C : zenon_U, ((status Ax C zenon_TS1_p)->(status Ax C zenon_TS1_p)))) zenon_H15); [ zenon_intro zenon_H16; idtac ]. % 0.17/0.48 elim zenon_H16. zenon_intro zenon_TAx_x. zenon_intro zenon_H18. % 0.17/0.48 apply (zenon_notallex_s (fun C : zenon_U => ((status zenon_TAx_x C zenon_TS1_p)->(status zenon_TAx_x C zenon_TS1_p))) zenon_H18); [ zenon_intro zenon_H19; idtac ]. % 0.17/0.48 elim zenon_H19. zenon_intro zenon_TC_ba. zenon_intro zenon_H1b. % 0.17/0.48 apply (zenon_notimply_s _ _ zenon_H1b). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.17/0.48 exact (zenon_H1c zenon_H1d). % 0.17/0.48 exact (zenon_H10 zenon_H13). % 0.17/0.48 Qed. % 0.17/0.48 % SZS output end Proof % 0.17/0.48 (* END-PROOF *) % 0.17/0.48 nodes searched: 30 % 0.17/0.48 max branch formulas: 51 % 0.17/0.48 proof nodes created: 6 % 0.17/0.48 formulas created: 487 % 0.17/0.48 %------------------------------------------------------------------------------