%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SWW469+5 : TPTP v8.1.0. Released v5.3.0. % 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 : Thu Jul 21 02:21:44 EDT 2022 % Result : Theorem 2.49s 2.69s % Output : Proof 2.49s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : SWW469+5 : TPTP v8.1.0. Released v5.3.0. % 0.04/0.14 % Command : run_zenon %s %d % 0.13/0.35 % Computer : n029.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Sat Jun 4 21:12:33 EDT 2022 % 0.13/0.35 % CPUTime : % 2.49/2.69 (* PROOF-FOUND *) % 2.49/2.69 % SZS status Theorem % 2.49/2.69 (* BEGIN-PROOF *) % 2.49/2.69 % SZS output start Proof % 2.49/2.69 Theorem conj_1 : (forall T : zenon_U, (~(forall S : zenon_U, ((ti (state) S) = (ti (state) T))))). % 2.49/2.69 Proof. % 2.49/2.69 assert (zenon_L1_ : forall (zenon_TT_cm : zenon_U) (zenon_TT_cn : zenon_U), (forall S : zenon_U, ((ti (state) S) = (ti (state) zenon_TT_cn))) -> (~((ti (state) zenon_TT_cn) = (ti (state) zenon_TT_cm))) -> False). % 2.49/2.69 do 2 intro. intros zenon_H0 zenon_H3f. % 2.49/2.69 generalize (zenon_H0 zenon_TT_cm). zenon_intro zenon_H42. % 2.49/2.69 apply zenon_H3f. apply sym_equal. exact zenon_H42. % 2.49/2.69 (* end of lemma zenon_L1_ *) % 2.49/2.69 apply NNPP. intro zenon_G. % 2.49/2.69 apply (zenon_notallex_s (fun T : zenon_U => (~(forall S : zenon_U, ((ti (state) S) = (ti (state) T))))) zenon_G); [ zenon_intro zenon_H43; idtac ]. % 2.49/2.69 elim zenon_H43. zenon_intro zenon_TT_cn. zenon_intro zenon_H44. % 2.49/2.69 apply zenon_H44. zenon_intro zenon_H0. % 2.49/2.69 apply (zenon_equiv_s _ _ fact_0_state__not__singleton__def); [ zenon_intro zenon_H47; zenon_intro zenon_H46 | zenon_intro conj_0; zenon_intro zenon_H45 ]. % 2.49/2.69 exact (zenon_H47 conj_0). % 2.49/2.69 elim zenon_H45. zenon_intro zenon_TS_cu. zenon_intro zenon_H49. % 2.49/2.69 elim zenon_H49. zenon_intro zenon_TT_cm. zenon_intro zenon_H4a. % 2.49/2.69 generalize (zenon_H0 zenon_E). zenon_intro zenon_H4b. % 2.49/2.69 cut (((ti (state) zenon_E) = (ti (state) zenon_TT_cn)) = ((ti (state) zenon_TS_cu) = (ti (state) zenon_TT_cm))). % 2.49/2.69 intro zenon_D_pnotp. % 2.49/2.69 apply zenon_H4a. % 2.49/2.69 rewrite <- zenon_D_pnotp. % 2.49/2.69 exact zenon_H4b. % 2.49/2.69 cut (((ti (state) zenon_TT_cn) = (ti (state) zenon_TT_cm))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 2.49/2.69 cut (((ti (state) zenon_E) = (ti (state) zenon_TS_cu))); [idtac | apply NNPP; zenon_intro zenon_H4c]. % 2.49/2.69 congruence. % 2.49/2.69 elim (classic ((ti (state) zenon_TS_cu) = (ti (state) zenon_TS_cu))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ]. % 2.49/2.69 cut (((ti (state) zenon_TS_cu) = (ti (state) zenon_TS_cu)) = ((ti (state) zenon_E) = (ti (state) zenon_TS_cu))). % 2.49/2.69 intro zenon_D_pnotp. % 2.49/2.69 apply zenon_H4c. % 2.49/2.69 rewrite <- zenon_D_pnotp. % 2.49/2.69 exact zenon_H4d. % 2.49/2.69 cut (((ti (state) zenon_TS_cu) = (ti (state) zenon_TS_cu))); [idtac | apply NNPP; zenon_intro zenon_H4e]. % 2.49/2.69 cut (((ti (state) zenon_TS_cu) = (ti (state) zenon_E))); [idtac | apply NNPP; zenon_intro zenon_H4f]. % 2.49/2.69 congruence. % 2.49/2.69 generalize (zenon_H0 zenon_TS_cu). zenon_intro zenon_H50. % 2.49/2.69 elim (classic ((ti (state) zenon_E) = (ti (state) zenon_E))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 2.49/2.69 cut (((ti (state) zenon_E) = (ti (state) zenon_E)) = ((ti (state) zenon_TS_cu) = (ti (state) zenon_E))). % 2.49/2.69 intro zenon_D_pnotp. % 2.49/2.69 apply zenon_H4f. % 2.49/2.69 rewrite <- zenon_D_pnotp. % 2.49/2.69 exact zenon_H51. % 2.49/2.69 cut (((ti (state) zenon_E) = (ti (state) zenon_E))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 2.49/2.69 cut (((ti (state) zenon_E) = (ti (state) zenon_TS_cu))); [idtac | apply NNPP; zenon_intro zenon_H4c]. % 2.49/2.69 congruence. % 2.49/2.69 cut (((ti (state) zenon_E) = (ti (state) zenon_TT_cn)) = ((ti (state) zenon_E) = (ti (state) zenon_TS_cu))). % 2.49/2.69 intro zenon_D_pnotp. % 2.49/2.69 apply zenon_H4c. % 2.49/2.69 rewrite <- zenon_D_pnotp. % 2.49/2.69 exact zenon_H4b. % 2.49/2.69 cut (((ti (state) zenon_TT_cn) = (ti (state) zenon_TS_cu))); [idtac | apply NNPP; zenon_intro zenon_H53]. % 2.49/2.69 cut (((ti (state) zenon_E) = (ti (state) zenon_E))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 2.49/2.69 congruence. % 2.49/2.69 apply zenon_H52. apply refl_equal. % 2.49/2.69 apply zenon_H53. apply sym_equal. exact zenon_H50. % 2.49/2.69 apply zenon_H52. apply refl_equal. % 2.49/2.69 apply zenon_H52. apply refl_equal. % 2.49/2.69 apply zenon_H4e. apply refl_equal. % 2.49/2.69 apply zenon_H4e. apply refl_equal. % 2.49/2.69 apply (zenon_L1_ zenon_TT_cm zenon_TT_cn); trivial. % 2.49/2.69 Qed. % 2.49/2.69 % SZS output end Proof % 2.49/2.69 (* END-PROOF *) % 2.49/2.69 nodes searched: 5342 % 2.49/2.69 max branch formulas: 2003 % 2.49/2.69 proof nodes created: 67 % 2.49/2.69 formulas created: 110612 % 2.49/2.69 %------------------------------------------------------------------------------