%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : KLE057+1 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n019.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 02:37:28 EDT 2022 % Result : Theorem 0.19s 0.50s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : KLE057+1 : TPTP v8.1.0. Released v4.0.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n019.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 : Thu Jun 16 10:09:39 EDT 2022 % 0.13/0.34 % CPUTime : % 0.19/0.50 (* PROOF-FOUND *) % 0.19/0.50 % SZS status Theorem % 0.19/0.50 (* BEGIN-PROOF *) % 0.19/0.50 % SZS output start Proof % 0.19/0.50 Theorem goals : (forall X0 : zenon_U, ((X0 = (zero))->((domain X0) = (zero)))). % 0.19/0.50 Proof. % 0.19/0.50 apply NNPP. intro zenon_G. % 0.19/0.50 apply (zenon_notallex_s (fun X0 : zenon_U => ((X0 = (zero))->((domain X0) = (zero)))) zenon_G); [ zenon_intro zenon_H12; idtac ]. % 0.19/0.50 elim zenon_H12. zenon_intro zenon_TX0_t. zenon_intro zenon_H14. % 0.19/0.50 apply (zenon_notimply_s _ _ zenon_H14). zenon_intro zenon_H16. zenon_intro zenon_H15. % 0.19/0.50 cut (((domain (zero)) = (zero)) = ((domain zenon_TX0_t) = (zero))). % 0.19/0.50 intro zenon_D_pnotp. % 0.19/0.50 apply zenon_H15. % 0.19/0.50 rewrite <- zenon_D_pnotp. % 0.19/0.50 exact domain4. % 0.19/0.50 cut (((zero) = (zero))); [idtac | apply NNPP; zenon_intro zenon_H17]. % 0.19/0.50 cut (((domain (zero)) = (domain zenon_TX0_t))); [idtac | apply NNPP; zenon_intro zenon_H18]. % 0.19/0.50 congruence. % 0.19/0.50 elim (classic ((domain zenon_TX0_t) = (domain zenon_TX0_t))); [ zenon_intro zenon_H19 | zenon_intro zenon_H1a ]. % 0.19/0.50 cut (((domain zenon_TX0_t) = (domain zenon_TX0_t)) = ((domain (zero)) = (domain zenon_TX0_t))). % 0.19/0.50 intro zenon_D_pnotp. % 0.19/0.50 apply zenon_H18. % 0.19/0.50 rewrite <- zenon_D_pnotp. % 0.19/0.50 exact zenon_H19. % 0.19/0.50 cut (((domain zenon_TX0_t) = (domain zenon_TX0_t))); [idtac | apply NNPP; zenon_intro zenon_H1a]. % 0.19/0.50 cut (((domain zenon_TX0_t) = (domain (zero)))); [idtac | apply NNPP; zenon_intro zenon_H1b]. % 0.19/0.50 congruence. % 0.19/0.50 cut ((zenon_TX0_t = (zero))); [idtac | apply NNPP; zenon_intro zenon_H1c]. % 0.19/0.50 congruence. % 0.19/0.50 exact (zenon_H1c zenon_H16). % 0.19/0.50 apply zenon_H1a. apply refl_equal. % 0.19/0.50 apply zenon_H1a. apply refl_equal. % 0.19/0.50 apply zenon_H17. apply refl_equal. % 0.19/0.50 Qed. % 0.19/0.50 % SZS output end Proof % 0.19/0.50 (* END-PROOF *) % 0.19/0.50 nodes searched: 33 % 0.19/0.50 max branch formulas: 49 % 0.19/0.50 proof nodes created: 6 % 0.19/0.50 formulas created: 418 % 0.19/0.50 %------------------------------------------------------------------------------