%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : KRS268+1 : TPTP v8.1.0. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n026.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 03:39:53 EDT 2022 % Result : Theorem 0.41s 0.62s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS268+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 0.12/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n026.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Tue Jun 7 08:31:46 EDT 2022 % 0.19/0.34 % CPUTime : % 0.41/0.62 (* PROOF-FOUND *) % 0.41/0.62 % SZS status Theorem % 0.41/0.62 (* BEGIN-PROOF *) % 0.41/0.62 % SZS output start Proof % 0.41/0.62 Theorem mighta_wca_thm : (mighta (wca) (thm)). % 0.41/0.62 Proof. % 0.41/0.62 assert (zenon_L1_ : forall (zenon_TF_bn : zenon_U) (zenon_TF_bo : zenon_U), (forall C : zenon_U, (((~(exists I2 : zenon_U, (model I2 zenon_TF_bo)))/\((exists I2 : zenon_U, (model I2 C))/\(exists I4 : zenon_U, (~(model I4 C)))))<->(status zenon_TF_bo C (wca)))) -> (exists I2 : zenon_U, (~(model I2 zenon_TF_bn))) -> (exists I1 : zenon_U, (model I1 zenon_TF_bn)) -> (~(exists I2 : zenon_U, (model I2 zenon_TF_bo))) -> (~(status zenon_TF_bo zenon_TF_bn (wca))) -> False). % 0.41/0.62 do 2 intro. intros zenon_H22 zenon_H23 zenon_H24 zenon_H25 zenon_H26. % 0.41/0.62 generalize (zenon_H22 zenon_TF_bn). zenon_intro zenon_H29. % 0.41/0.62 apply (zenon_equiv_s _ _ zenon_H29); [ zenon_intro zenon_H2c; zenon_intro zenon_H26 | zenon_intro zenon_H2b; zenon_intro zenon_H2a ]. % 0.41/0.62 apply (zenon_notand_s _ _ zenon_H2c); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d ]. % 0.41/0.62 exact (zenon_H2e zenon_H25). % 0.41/0.62 apply (zenon_notand_s _ _ zenon_H2d); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ]. % 0.41/0.62 exact (zenon_H30 zenon_H24). % 0.41/0.62 exact (zenon_H2f zenon_H23). % 0.41/0.62 exact (zenon_H26 zenon_H2a). % 0.41/0.62 (* end of lemma zenon_L1_ *) % 0.41/0.62 assert (zenon_L2_ : forall (zenon_TF_bn : zenon_U) (zenon_TF_bo : zenon_U), (~(status zenon_TF_bo zenon_TF_bn (wca))) -> (~(exists I2 : zenon_U, (model I2 zenon_TF_bo))) -> (exists I1 : zenon_U, (model I1 zenon_TF_bn)) -> (exists I2 : zenon_U, (~(model I2 zenon_TF_bn))) -> False). % 0.41/0.62 do 2 intro. intros zenon_H26 zenon_H25 zenon_H24 zenon_H23. % 0.41/0.62 generalize (wca zenon_TF_bo). zenon_intro zenon_H22. % 0.41/0.62 apply (zenon_L1_ zenon_TF_bn zenon_TF_bo); trivial. % 0.41/0.62 (* end of lemma zenon_L2_ *) % 0.41/0.62 apply NNPP. intro zenon_G. % 0.41/0.62 elim satisfiable. zenon_intro zenon_TF_bn. zenon_intro zenon_H31. % 0.41/0.62 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H24. zenon_intro zenon_H23. % 0.41/0.62 elim contradiction. zenon_intro zenon_TF_bo. zenon_intro zenon_H32. % 0.41/0.62 generalize (mighta (wca)). zenon_intro zenon_H33. % 0.41/0.62 generalize (zenon_H33 (thm)). zenon_intro zenon_H34. % 0.41/0.62 apply (zenon_equiv_s _ _ zenon_H34); [ zenon_intro zenon_H37; zenon_intro zenon_G | zenon_intro zenon_H36; zenon_intro zenon_H35 ]. % 0.41/0.62 apply zenon_H37. exists zenon_TF_bo. apply NNPP. zenon_intro zenon_H38. % 0.41/0.62 generalize (thm zenon_TF_bo). zenon_intro zenon_H39. % 0.41/0.62 generalize (zenon_H39 zenon_TF_bn). zenon_intro zenon_H3a. % 0.41/0.62 apply (zenon_equiv_s _ _ zenon_H3a); [ zenon_intro zenon_H3e; zenon_intro zenon_H3d | zenon_intro zenon_H3c; zenon_intro zenon_H3b ]. % 0.41/0.62 apply (zenon_notallex_s (fun I1 : zenon_U => ((model I1 zenon_TF_bo)->(model I1 zenon_TF_bn))) zenon_H3e); [ zenon_intro zenon_H3f; idtac ]. % 0.41/0.62 elim zenon_H3f. zenon_intro zenon_TI1_cm. zenon_intro zenon_H41. % 0.41/0.62 apply (zenon_notimply_s _ _ zenon_H41). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.41/0.62 generalize (zenon_H32 zenon_TI1_cm). zenon_intro zenon_H44. % 0.41/0.62 exact (zenon_H44 zenon_H43). % 0.41/0.62 apply zenon_H38. exists zenon_TF_bn. apply NNPP. zenon_intro zenon_H45. % 0.41/0.62 apply (zenon_notand_s _ _ zenon_H45); [ zenon_intro zenon_H26 | zenon_intro zenon_H3d ]. % 0.41/0.62 generalize (cax zenon_TF_bo). zenon_intro zenon_H0. % 0.41/0.62 generalize (zenon_H0 zenon_E). zenon_intro zenon_H46. % 0.41/0.62 apply (zenon_equiv_s _ _ zenon_H46); [ zenon_intro zenon_H2e; zenon_intro zenon_H48 | zenon_intro zenon_H25; zenon_intro zenon_H47 ]. % 0.41/0.62 apply zenon_H2e. zenon_intro zenon_H49. % 0.41/0.62 elim zenon_H49. zenon_intro zenon_TI2_cw. zenon_intro zenon_H4b. % 0.41/0.62 generalize (zenon_H32 zenon_TI2_cw). zenon_intro zenon_H4c. % 0.41/0.62 exact (zenon_H4c zenon_H4b). % 0.41/0.62 apply (zenon_L2_ zenon_TF_bn zenon_TF_bo); trivial. % 0.41/0.62 exact (zenon_H3d zenon_H3b). % 0.41/0.62 exact (zenon_G zenon_H35). % 0.41/0.62 Qed. % 0.41/0.62 % SZS output end Proof % 0.41/0.62 (* END-PROOF *) % 0.41/0.62 nodes searched: 4065 % 0.41/0.62 max branch formulas: 1576 % 0.41/0.62 proof nodes created: 228 % 0.41/0.62 formulas created: 28358 % 0.41/0.62 %------------------------------------------------------------------------------