%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : PUZ001+1 : TPTP v8.1.0. Released v2.0.0. % 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 : Mon Jul 18 18:33:35 EDT 2022 % Result : Theorem 0.39s 0.59s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : PUZ001+1 : TPTP v8.1.0. Released v2.0.0. % 0.03/0.13 % Command : run_zenon %s %d % 0.12/0.34 % Computer : n026.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Sat May 28 22:32:54 EDT 2022 % 0.12/0.35 % CPUTime : % 0.39/0.59 (* PROOF-FOUND *) % 0.39/0.59 % SZS status Theorem % 0.39/0.59 (* BEGIN-PROOF *) % 0.39/0.59 % SZS output start Proof % 0.39/0.59 Theorem pel55 : (killed (agatha) (agatha)). % 0.39/0.59 Proof. % 0.39/0.59 assert (zenon_L1_ : (~((agatha) = (agatha))) -> False). % 0.39/0.59 do 0 intro. intros zenon_He. % 0.39/0.59 apply zenon_He. apply refl_equal. % 0.39/0.59 (* end of lemma zenon_L1_ *) % 0.39/0.59 assert (zenon_L2_ : forall (zenon_TX_r : zenon_U), (~(killed (agatha) (agatha))) -> (killed zenon_TX_r (agatha)) -> (zenon_TX_r = (agatha)) -> False). % 0.39/0.59 do 1 intro. intros zenon_G zenon_Hf zenon_H10. % 0.39/0.59 cut ((killed zenon_TX_r (agatha)) = (killed (agatha) (agatha))). % 0.39/0.59 intro zenon_D_pnotp. % 0.39/0.59 apply zenon_G. % 0.39/0.59 rewrite <- zenon_D_pnotp. % 0.39/0.59 exact zenon_Hf. % 0.39/0.59 cut (((agatha) = (agatha))); [idtac | apply NNPP; zenon_intro zenon_He]. % 0.39/0.59 cut ((zenon_TX_r = (agatha))); [idtac | apply NNPP; zenon_intro zenon_H12]. % 0.39/0.59 congruence. % 0.39/0.59 exact (zenon_H12 zenon_H10). % 0.39/0.59 apply zenon_He. apply refl_equal. % 0.39/0.59 (* end of lemma zenon_L2_ *) % 0.39/0.59 assert (zenon_L3_ : forall (zenon_TY_w : zenon_U) (zenon_TX_r : zenon_U), (~(zenon_TX_r = zenon_TY_w)) -> (zenon_TX_r = (butler)) -> (zenon_TY_w = (butler)) -> False). % 0.39/0.59 do 2 intro. intros zenon_H13 zenon_H14 zenon_H15. % 0.39/0.59 cut ((zenon_TX_r = (butler)) = (zenon_TX_r = zenon_TY_w)). % 0.39/0.59 intro zenon_D_pnotp. % 0.39/0.59 apply zenon_H13. % 0.39/0.59 rewrite <- zenon_D_pnotp. % 0.39/0.59 exact zenon_H14. % 0.39/0.59 cut (((butler) = zenon_TY_w)); [idtac | apply NNPP; zenon_intro zenon_H17]. % 0.39/0.59 cut ((zenon_TX_r = zenon_TX_r)); [idtac | apply NNPP; zenon_intro zenon_H18]. % 0.39/0.59 congruence. % 0.39/0.59 apply zenon_H18. apply refl_equal. % 0.39/0.59 apply zenon_H17. apply sym_equal. exact zenon_H15. % 0.39/0.59 (* end of lemma zenon_L3_ *) % 0.39/0.59 assert (zenon_L4_ : (~((butler) = (butler))) -> False). % 0.39/0.59 do 0 intro. intros zenon_H19. % 0.39/0.59 apply zenon_H19. apply refl_equal. % 0.39/0.59 (* end of lemma zenon_L4_ *) % 0.39/0.59 assert (zenon_L5_ : forall (zenon_TX_r : zenon_U), (zenon_TX_r = (charles)) -> (killed zenon_TX_r (agatha)) -> False). % 0.39/0.59 do 1 intro. intros zenon_H1a zenon_Hf. % 0.39/0.59 generalize (pel55_7 (agatha)). zenon_intro zenon_H1b. % 0.39/0.59 apply (zenon_imply_s _ _ zenon_H1b); [ zenon_intro zenon_H1d | zenon_intro zenon_H1c ]. % 0.39/0.59 exact (zenon_H1d pel55_11). % 0.39/0.59 generalize (pel55_6 (agatha)). zenon_intro zenon_H1e. % 0.39/0.59 apply (zenon_imply_s _ _ zenon_H1e); [ zenon_intro zenon_H20 | zenon_intro zenon_H1f ]. % 0.39/0.59 exact (zenon_H20 zenon_H1c). % 0.39/0.59 generalize (pel55_4 zenon_TX_r). zenon_intro zenon_H21. % 0.39/0.59 generalize (zenon_H21 (agatha)). zenon_intro zenon_H22. % 0.39/0.59 apply (zenon_imply_s _ _ zenon_H22); [ zenon_intro zenon_H24 | zenon_intro zenon_H23 ]. % 0.39/0.59 exact (zenon_H24 zenon_Hf). % 0.39/0.59 cut ((hates zenon_TX_r (agatha)) = (hates (charles) (agatha))). % 0.39/0.59 intro zenon_D_pnotp. % 0.39/0.59 apply zenon_H1f. % 0.39/0.59 rewrite <- zenon_D_pnotp. % 0.39/0.59 exact zenon_H23. % 0.39/0.59 cut (((agatha) = (agatha))); [idtac | apply NNPP; zenon_intro zenon_He]. % 0.39/0.59 cut ((zenon_TX_r = (charles))); [idtac | apply NNPP; zenon_intro zenon_H25]. % 0.39/0.59 congruence. % 0.39/0.59 exact (zenon_H25 zenon_H1a). % 0.39/0.59 apply zenon_He. apply refl_equal. % 0.39/0.59 (* end of lemma zenon_L5_ *) % 0.39/0.59 apply NNPP. intro zenon_G. % 0.39/0.59 elim pel55_1. zenon_intro zenon_TX_r. zenon_intro zenon_H26. % 0.39/0.59 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H27. zenon_intro zenon_Hf. % 0.39/0.59 generalize (pel55_3 zenon_TX_r). zenon_intro zenon_H28. % 0.39/0.59 apply (zenon_imply_s _ _ zenon_H28); [ zenon_intro zenon_H2a | zenon_intro zenon_H29 ]. % 0.39/0.59 exact (zenon_H2a zenon_H27). % 0.39/0.59 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H10 | zenon_intro zenon_H2b ]. % 0.39/0.59 apply (zenon_L2_ zenon_TX_r); trivial. % 0.39/0.59 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H14 | zenon_intro zenon_H1a ]. % 0.39/0.59 generalize (pel55_10 (agatha)). zenon_intro zenon_H2c. % 0.39/0.59 elim zenon_H2c. zenon_intro zenon_TY_w. zenon_intro zenon_H2d. % 0.39/0.59 generalize (pel55_7 zenon_TY_w). zenon_intro zenon_H2e. % 0.39/0.59 apply (zenon_imply_s _ _ zenon_H2e); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ]. % 0.39/0.59 apply zenon_H30. zenon_intro zenon_H15. % 0.39/0.59 generalize (pel55_8 zenon_TY_w). zenon_intro zenon_H31. % 0.39/0.59 apply (zenon_imply_s _ _ zenon_H31); [ zenon_intro zenon_H33 | zenon_intro zenon_H32 ]. % 0.39/0.59 apply zenon_H33. zenon_intro zenon_H34. % 0.39/0.59 generalize (pel55_5 zenon_TY_w). zenon_intro zenon_H35. % 0.39/0.59 generalize (zenon_H35 (agatha)). zenon_intro zenon_H36. % 0.39/0.59 apply (zenon_imply_s _ _ zenon_H36); [ zenon_intro zenon_H38 | zenon_intro zenon_H37 ]. % 0.39/0.59 cut ((killed zenon_TX_r (agatha)) = (killed zenon_TY_w (agatha))). % 0.39/0.59 intro zenon_D_pnotp. % 0.39/0.59 apply zenon_H38. % 0.39/0.59 rewrite <- zenon_D_pnotp. % 0.39/0.59 exact zenon_Hf. % 0.39/0.59 cut (((agatha) = (agatha))); [idtac | apply NNPP; zenon_intro zenon_He]. % 0.39/0.59 cut ((zenon_TX_r = zenon_TY_w)); [idtac | apply NNPP; zenon_intro zenon_H13]. % 0.39/0.59 congruence. % 0.39/0.59 apply (zenon_L3_ zenon_TY_w zenon_TX_r); trivial. % 0.39/0.59 apply zenon_He. apply refl_equal. % 0.39/0.59 exact (zenon_H37 zenon_H34). % 0.39/0.59 generalize (pel55_10 (butler)). zenon_intro zenon_H39. % 0.39/0.59 elim zenon_H39. zenon_intro zenon_TY_cg. zenon_intro zenon_H3b. % 0.39/0.59 generalize (pel55_9 zenon_TY_cg). zenon_intro zenon_H3c. % 0.39/0.59 apply (zenon_imply_s _ _ zenon_H3c); [ zenon_intro zenon_H3e | zenon_intro zenon_H3d ]. % 0.39/0.59 generalize (pel55_7 zenon_TY_cg). zenon_intro zenon_H3f. % 0.39/0.59 apply (zenon_imply_s _ _ zenon_H3f); [ zenon_intro zenon_H41 | zenon_intro zenon_H40 ]. % 0.39/0.59 apply zenon_H41. zenon_intro zenon_H42. % 0.39/0.59 cut ((hates (butler) zenon_TY_w) = (hates (butler) zenon_TY_cg)). % 0.39/0.59 intro zenon_D_pnotp. % 0.39/0.59 apply zenon_H3b. % 0.39/0.59 rewrite <- zenon_D_pnotp. % 0.39/0.59 exact zenon_H32. % 0.39/0.59 cut ((zenon_TY_w = zenon_TY_cg)); [idtac | apply NNPP; zenon_intro zenon_H43]. % 0.39/0.59 cut (((butler) = (butler))); [idtac | apply NNPP; zenon_intro zenon_H19]. % 0.39/0.59 congruence. % 0.39/0.59 apply zenon_H19. apply refl_equal. % 0.39/0.59 cut ((zenon_TY_w = (butler)) = (zenon_TY_w = zenon_TY_cg)). % 0.39/0.59 intro zenon_D_pnotp. % 0.39/0.59 apply zenon_H43. % 0.39/0.59 rewrite <- zenon_D_pnotp. % 0.39/0.59 exact zenon_H15. % 0.39/0.59 cut (((butler) = zenon_TY_cg)); [idtac | apply NNPP; zenon_intro zenon_H44]. % 0.39/0.59 cut ((zenon_TY_w = zenon_TY_w)); [idtac | apply NNPP; zenon_intro zenon_H45]. % 0.39/0.59 congruence. % 0.39/0.59 apply zenon_H45. apply refl_equal. % 0.39/0.59 apply zenon_H44. apply sym_equal. exact zenon_H42. % 0.39/0.59 exact (zenon_H3e zenon_H40). % 0.39/0.59 exact (zenon_H3b zenon_H3d). % 0.39/0.59 exact (zenon_H2d zenon_H2f). % 0.39/0.59 apply (zenon_L5_ zenon_TX_r); trivial. % 0.39/0.59 Qed. % 0.39/0.59 % SZS output end Proof % 0.39/0.59 (* END-PROOF *) % 0.39/0.59 nodes searched: 3322 % 0.39/0.59 max branch formulas: 293 % 0.39/0.59 proof nodes created: 351 % 0.39/0.59 formulas created: 3585 % 0.39/0.59 %------------------------------------------------------------------------------