%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : KRS110+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n027.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 03:39:29 EDT 2022 % Result : Unsatisfiable 0.71s 0.87s % Output : Proof 0.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : KRS110+1 : TPTP v8.1.0. Released v3.1.0. % 0.08/0.14 % Command : run_zenon %s %d % 0.14/0.35 % Computer : n027.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 600 % 0.14/0.35 % DateTime : Tue Jun 7 07:08:40 EDT 2022 % 0.14/0.35 % CPUTime : % 0.71/0.87 (* PROOF-FOUND *) % 0.71/0.87 % SZS status Unsatisfiable % 0.71/0.87 (* BEGIN-PROOF *) % 0.71/0.87 % SZS output start Proof % 0.71/0.87 Theorem zenon_thm : False. % 0.71/0.87 Proof. % 0.71/0.87 assert (zenon_L1_ : forall (zenon_TY_bn : zenon_U), (cpxcomp zenon_TY_bn) -> (~(exists Y : zenon_U, (ra_Px1 zenon_TY_bn Y))) -> False). % 0.71/0.87 do 1 intro. intros zenon_H25 zenon_H26. % 0.71/0.87 generalize (axiom_4 zenon_TY_bn). zenon_intro zenon_H28. % 0.71/0.87 apply (zenon_equiv_s _ _ zenon_H28); [ zenon_intro zenon_H2a; zenon_intro zenon_H26 | zenon_intro zenon_H25; zenon_intro zenon_H29 ]. % 0.71/0.87 exact (zenon_H2a zenon_H25). % 0.71/0.87 exact (zenon_H26 zenon_H29). % 0.71/0.87 (* end of lemma zenon_L1_ *) % 0.71/0.87 generalize (axiom_2 (i2003_11_14_17_21_12565)). zenon_intro zenon_H2b. % 0.71/0.87 apply (zenon_equiv_s _ _ zenon_H2b); [ zenon_intro zenon_H2e; zenon_intro zenon_H2d | zenon_intro axiom_12; zenon_intro zenon_H2c ]. % 0.71/0.87 exact (zenon_H2e axiom_12). % 0.71/0.87 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H30. zenon_intro zenon_H2f. % 0.71/0.87 elim zenon_H30. zenon_intro zenon_TY_bn. zenon_intro zenon_H31. % 0.71/0.87 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H33. zenon_intro zenon_H32. % 0.71/0.87 generalize (axiom_5 zenon_TY_bn). zenon_intro zenon_H34. % 0.71/0.87 apply (zenon_equiv_s _ _ zenon_H34); [ zenon_intro zenon_H37; zenon_intro zenon_H36 | zenon_intro zenon_H32; zenon_intro zenon_H35 ]. % 0.71/0.87 exact (zenon_H37 zenon_H32). % 0.71/0.87 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H39. zenon_intro zenon_H38. % 0.71/0.87 generalize (axiom_3 zenon_TY_bn). zenon_intro zenon_H3a. % 0.71/0.87 apply (zenon_equiv_s _ _ zenon_H3a); [ zenon_intro zenon_H3c; zenon_intro zenon_H3b | zenon_intro zenon_H39; zenon_intro zenon_H26 ]. % 0.71/0.87 exact (zenon_H3c zenon_H39). % 0.71/0.87 generalize (zenon_H2f zenon_TY_bn). zenon_intro zenon_H3d. % 0.71/0.87 apply (zenon_imply_s _ _ zenon_H3d); [ zenon_intro zenon_H3e | zenon_intro zenon_H25 ]. % 0.71/0.87 exact (zenon_H3e zenon_H33). % 0.71/0.87 apply (zenon_L1_ zenon_TY_bn); trivial. % 0.71/0.87 Qed. % 0.71/0.87 % SZS output end Proof % 0.71/0.87 (* END-PROOF *) % 0.71/0.87 nodes searched: 17067 % 0.71/0.87 max branch formulas: 4801 % 0.71/0.87 proof nodes created: 1351 % 0.71/0.87 formulas created: 63820 % 0.71/0.87 %------------------------------------------------------------------------------