%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : KRS073+1 : TPTP v8.1.0. Released v3.1.0. % 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 03:39:22 EDT 2022 % Result : Unsatisfiable 104.57s 104.80s % Output : Proof 104.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : KRS073+1 : TPTP v8.1.0. Released v3.1.0. % 0.10/0.12 % 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 : Tue Jun 7 12:09:05 EDT 2022 % 0.12/0.33 % CPUTime : % 104.57/104.80 (* PROOF-FOUND *) % 104.57/104.80 % SZS status Unsatisfiable % 104.57/104.80 (* BEGIN-PROOF *) % 104.57/104.80 % SZS output start Proof % 104.57/104.80 Theorem zenon_thm : False. % 104.57/104.80 Proof. % 104.57/104.80 assert (zenon_L1_ : forall (zenon_TY_bg : zenon_U), (rf (i2003_11_14_17_18_54369) zenon_TY_bg) -> (~(rinvF zenon_TY_bg (i2003_11_14_17_18_54369))) -> False). % 104.57/104.80 do 1 intro. intros zenon_H1e zenon_H1f. % 104.57/104.80 generalize (axiom_5 zenon_TY_bg). zenon_intro zenon_H21. % 104.57/104.80 generalize (zenon_H21 (i2003_11_14_17_18_54369)). zenon_intro zenon_H22. % 104.57/104.80 apply (zenon_equiv_s _ _ zenon_H22); [ zenon_intro zenon_H1f; zenon_intro zenon_H24 | zenon_intro zenon_H23; zenon_intro zenon_H1e ]. % 104.57/104.80 exact (zenon_H24 zenon_H1e). % 104.57/104.80 exact (zenon_H1f zenon_H23). % 104.57/104.80 (* end of lemma zenon_L1_ *) % 104.57/104.80 assert (zenon_L2_ : forall (zenon_TW_bn : zenon_U), (rs (i2003_11_14_17_18_54369) zenon_TW_bn) -> (~(rinvS zenon_TW_bn (i2003_11_14_17_18_54369))) -> False). % 104.57/104.80 do 1 intro. intros zenon_H25 zenon_H26. % 104.57/104.80 generalize (axiom_7 zenon_TW_bn). zenon_intro zenon_H28. % 104.57/104.80 generalize (zenon_H28 (i2003_11_14_17_18_54369)). zenon_intro zenon_H29. % 104.57/104.80 apply (zenon_equiv_s _ _ zenon_H29); [ zenon_intro zenon_H26; zenon_intro zenon_H2b | zenon_intro zenon_H2a; zenon_intro zenon_H25 ]. % 104.57/104.80 exact (zenon_H2b zenon_H25). % 104.57/104.80 exact (zenon_H26 zenon_H2a). % 104.57/104.80 (* end of lemma zenon_L2_ *) % 104.57/104.80 assert (zenon_L3_ : forall (zenon_TY_bg : zenon_U), (rinvS zenon_TY_bg (i2003_11_14_17_18_54369)) -> (~(rs (i2003_11_14_17_18_54369) zenon_TY_bg)) -> False). % 104.57/104.80 do 1 intro. intros zenon_H2c zenon_H2d. % 104.57/104.80 generalize (axiom_7 zenon_TY_bg). zenon_intro zenon_H2e. % 104.57/104.80 generalize (zenon_H2e (i2003_11_14_17_18_54369)). zenon_intro zenon_H2f. % 104.57/104.80 apply (zenon_equiv_s _ _ zenon_H2f); [ zenon_intro zenon_H31; zenon_intro zenon_H2d | zenon_intro zenon_H2c; zenon_intro zenon_H30 ]. % 104.57/104.80 exact (zenon_H31 zenon_H2c). % 104.57/104.80 exact (zenon_H2d zenon_H30). % 104.57/104.80 (* end of lemma zenon_L3_ *) % 104.57/104.80 assert (zenon_L4_ : forall (zenon_TY_bg : zenon_U), (exists W : zenon_U, ((rs (i2003_11_14_17_18_54369) W)/\(cp W))) -> (forall Z : zenon_U, (((rf (i2003_11_14_17_18_54369) zenon_TY_bg)/\(rf (i2003_11_14_17_18_54369) Z))->(zenon_TY_bg = Z))) -> (rf (i2003_11_14_17_18_54369) zenon_TY_bg) -> (~(rs (i2003_11_14_17_18_54369) zenon_TY_bg)) -> False). % 104.57/104.80 do 1 intro. intros zenon_H32 zenon_H33 zenon_H1e zenon_H2d. % 104.57/104.80 elim zenon_H32. zenon_intro zenon_TW_bn. zenon_intro zenon_H34. % 104.57/104.80 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H25. zenon_intro zenon_H35. % 104.57/104.80 generalize (rinvS_substitution_1 zenon_TW_bn). zenon_intro zenon_H36. % 104.57/104.80 generalize (zenon_H36 zenon_TY_bg). zenon_intro zenon_H37. % 104.57/104.80 generalize (zenon_H33 zenon_TW_bn). zenon_intro zenon_H38. % 104.57/104.80 apply (zenon_imply_s _ _ zenon_H38); [ zenon_intro zenon_H3a | zenon_intro zenon_H39 ]. % 104.57/104.80 apply (zenon_notand_s _ _ zenon_H3a); [ zenon_intro zenon_H24 | zenon_intro zenon_H3b ]. % 104.57/104.80 exact (zenon_H24 zenon_H1e). % 104.57/104.80 generalize (axiom_11 (i2003_11_14_17_18_54369)). zenon_intro zenon_H3c. % 104.57/104.80 generalize (zenon_H3c zenon_TW_bn). zenon_intro zenon_H3d. % 104.57/104.80 apply (zenon_imply_s _ _ zenon_H3d); [ zenon_intro zenon_H2b | zenon_intro zenon_H3e ]. % 104.57/104.80 exact (zenon_H2b zenon_H25). % 104.57/104.80 exact (zenon_H3b zenon_H3e). % 104.57/104.80 generalize (zenon_H37 (i2003_11_14_17_18_54369)). zenon_intro zenon_H3f. % 104.57/104.80 apply (zenon_imply_s _ _ zenon_H3f); [ zenon_intro zenon_H40 | zenon_intro zenon_H2c ]. % 104.57/104.80 apply (zenon_notand_s _ _ zenon_H40); [ zenon_intro zenon_H41 | zenon_intro zenon_H26 ]. % 104.57/104.80 apply zenon_H41. apply sym_equal. exact zenon_H39. % 104.57/104.80 apply (zenon_L2_ zenon_TW_bn); trivial. % 104.57/104.80 apply (zenon_L3_ zenon_TY_bg); trivial. % 104.57/104.80 (* end of lemma zenon_L4_ *) % 104.57/104.80 generalize (axiom_2 (i2003_11_14_17_18_54369)). zenon_intro zenon_H42. % 104.57/104.80 apply (zenon_equiv_s _ _ zenon_H42); [ zenon_intro zenon_H45; zenon_intro zenon_H44 | zenon_intro axiom_9; zenon_intro zenon_H43 ]. % 104.57/104.80 exact (zenon_H45 axiom_9). % 104.57/104.80 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H47. zenon_intro zenon_H46. % 104.57/104.80 elim zenon_H47. zenon_intro zenon_TY_bg. zenon_intro zenon_H48. % 104.57/104.80 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H1e. zenon_intro zenon_H49. % 104.57/104.80 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 104.57/104.80 generalize (zenon_H4b (i2003_11_14_17_18_54369)). zenon_intro zenon_H4c. % 104.57/104.80 apply (zenon_imply_s _ _ zenon_H4c); [ zenon_intro zenon_H31 | zenon_intro zenon_H4d ]. % 104.57/104.82 generalize (axiom_7 zenon_TY_bg). zenon_intro zenon_H2e. % 104.57/104.82 generalize (zenon_H2e (i2003_11_14_17_18_54369)). zenon_intro zenon_H2f. % 104.57/104.82 apply (zenon_equiv_s _ _ zenon_H2f); [ zenon_intro zenon_H31; zenon_intro zenon_H2d | zenon_intro zenon_H2c; zenon_intro zenon_H30 ]. % 104.57/104.82 generalize (axiom_3 (i2003_11_14_17_18_54369)). zenon_intro zenon_H4e. % 104.57/104.82 generalize (zenon_H4e zenon_TY_bg). zenon_intro zenon_H33. % 104.57/104.82 generalize (zenon_H4a (i2003_11_14_17_18_54369)). zenon_intro zenon_H4f. % 104.57/104.82 apply (zenon_imply_s _ _ zenon_H4f); [ zenon_intro zenon_H1f | zenon_intro zenon_H32 ]. % 104.57/104.82 apply (zenon_L1_ zenon_TY_bg); trivial. % 104.57/104.82 apply (zenon_L4_ zenon_TY_bg); trivial. % 104.57/104.82 exact (zenon_H31 zenon_H2c). % 104.57/104.82 exact (zenon_H46 zenon_H4d). % 104.57/104.82 Qed. % 104.57/104.82 % SZS output end Proof % 104.57/104.82 (* END-PROOF *) % 104.57/104.82 nodes searched: 2446438 % 104.57/104.82 max branch formulas: 50571 % 104.57/104.82 proof nodes created: 31168 % 104.57/104.82 formulas created: 5524049 % 104.57/104.82 %------------------------------------------------------------------------------