%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : KLE001+1 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n029.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 02:37:09 EDT 2022 % Result : Theorem 0.20s 0.50s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : KLE001+1 : TPTP v8.1.0. Released v4.0.0. % 0.07/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n029.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 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Thu Jun 16 14:53:42 EDT 2022 % 0.12/0.34 % CPUTime : % 0.20/0.50 (* PROOF-FOUND *) % 0.20/0.50 % SZS status Theorem % 0.20/0.50 (* BEGIN-PROOF *) % 0.20/0.50 % SZS output start Proof % 0.20/0.50 Theorem goals : (forall X0 : zenon_U, (forall X1 : zenon_U, (forall X2 : zenon_U, ((leq X0 X1)->(leq (addition X0 X2) (addition X0 X2)))))). % 0.20/0.50 Proof. % 0.20/0.50 apply NNPP. intro zenon_G. % 0.20/0.50 apply (zenon_notallex_s (fun X0 : zenon_U => (forall X1 : zenon_U, (forall X2 : zenon_U, ((leq X0 X1)->(leq (addition X0 X2) (addition X0 X2)))))) zenon_G); [ zenon_intro zenon_Hd; idtac ]. % 0.20/0.50 elim zenon_Hd. zenon_intro zenon_TX0_o. zenon_intro zenon_Hf. % 0.20/0.50 apply (zenon_notallex_s (fun X1 : zenon_U => (forall X2 : zenon_U, ((leq zenon_TX0_o X1)->(leq (addition zenon_TX0_o X2) (addition zenon_TX0_o X2))))) zenon_Hf); [ zenon_intro zenon_H10; idtac ]. % 0.20/0.50 elim zenon_H10. zenon_intro zenon_TX1_r. zenon_intro zenon_H12. % 0.20/0.50 apply (zenon_notallex_s (fun X2 : zenon_U => ((leq zenon_TX0_o zenon_TX1_r)->(leq (addition zenon_TX0_o X2) (addition zenon_TX0_o X2)))) zenon_H12); [ zenon_intro zenon_H13; idtac ]. % 0.20/0.50 elim zenon_H13. zenon_intro zenon_TX2_u. zenon_intro zenon_H15. % 0.20/0.50 apply (zenon_notimply_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.20/0.50 generalize (order (addition zenon_TX0_o zenon_TX2_u)). zenon_intro zenon_H18. % 0.20/0.50 generalize (zenon_H18 (addition zenon_TX0_o zenon_TX2_u)). zenon_intro zenon_H19. % 0.20/0.50 apply (zenon_equiv_s _ _ zenon_H19); [ zenon_intro zenon_H16; zenon_intro zenon_H1c | zenon_intro zenon_H1b; zenon_intro zenon_H1a ]. % 0.20/0.50 generalize (additive_idempotence (addition zenon_TX0_o zenon_TX2_u)). zenon_intro zenon_H1a. % 0.20/0.50 exact (zenon_H1c zenon_H1a). % 0.20/0.50 exact (zenon_H16 zenon_H1b). % 0.20/0.50 Qed. % 0.20/0.50 % SZS output end Proof % 0.20/0.50 (* END-PROOF *) % 0.20/0.50 nodes searched: 153 % 0.20/0.50 max branch formulas: 103 % 0.20/0.50 proof nodes created: 11 % 0.20/0.50 formulas created: 1517 % 0.20/0.50 %------------------------------------------------------------------------------