%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO146+1 : TPTP v8.1.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n025.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 : Sat Jul 16 07:00:13 EDT 2022 % Result : Theorem 0.41s 0.57s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : GEO146+1 : TPTP v8.1.0. Released v2.4.0. % 0.03/0.13 % Command : run_zenon %s %d % 0.14/0.34 % Computer : n025.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 600 % 0.14/0.34 % DateTime : Sat Jun 18 06:03:13 EDT 2022 % 0.14/0.34 % CPUTime : % 0.41/0.57 (* PROOF-FOUND *) % 0.41/0.57 % SZS status Theorem % 0.41/0.57 (* BEGIN-PROOF *) % 0.41/0.57 % SZS output start Proof % 0.41/0.57 Theorem t12 : (forall X : zenon_U, (forall Y : zenon_U, (forall P : zenon_U, ((connect X Y P)<->(connect Y X P))))). % 0.41/0.57 Proof. % 0.41/0.57 apply NNPP. intro zenon_G. % 0.41/0.57 apply (zenon_notallex_s (fun X : zenon_U => (forall Y : zenon_U, (forall P : zenon_U, ((connect X Y P)<->(connect Y X P))))) zenon_G); [ zenon_intro zenon_H25; idtac ]. % 0.41/0.57 elim zenon_H25. zenon_intro zenon_TX_bm. zenon_intro zenon_H27. % 0.41/0.57 apply (zenon_notallex_s (fun Y : zenon_U => (forall P : zenon_U, ((connect zenon_TX_bm Y P)<->(connect Y zenon_TX_bm P)))) zenon_H27); [ zenon_intro zenon_H28; idtac ]. % 0.41/0.57 elim zenon_H28. zenon_intro zenon_TY_bp. zenon_intro zenon_H2a. % 0.41/0.57 apply (zenon_notallex_s (fun P : zenon_U => ((connect zenon_TX_bm zenon_TY_bp P)<->(connect zenon_TY_bp zenon_TX_bm P))) zenon_H2a); [ zenon_intro zenon_H2b; idtac ]. % 0.41/0.57 elim zenon_H2b. zenon_intro zenon_TP_bs. zenon_intro zenon_H2d. % 0.41/0.57 apply (zenon_notequiv_s _ _ zenon_H2d); [ zenon_intro zenon_H31; zenon_intro zenon_H30 | zenon_intro zenon_H2f; zenon_intro zenon_H2e ]. % 0.41/0.57 generalize (connect_defn zenon_TX_bm). zenon_intro zenon_H32. % 0.41/0.57 generalize (zenon_H32 zenon_TY_bp). zenon_intro zenon_H33. % 0.41/0.57 generalize (zenon_H33 zenon_TP_bs). zenon_intro zenon_H34. % 0.41/0.57 apply (zenon_equiv_s _ _ zenon_H34); [ zenon_intro zenon_H31; zenon_intro zenon_H36 | zenon_intro zenon_H2f; zenon_intro zenon_H35 ]. % 0.41/0.57 generalize (connect_defn zenon_TY_bp). zenon_intro zenon_H37. % 0.41/0.57 generalize (zenon_H37 zenon_TX_bm). zenon_intro zenon_H38. % 0.41/0.57 generalize (zenon_H38 zenon_TP_bs). zenon_intro zenon_H39. % 0.41/0.57 apply (zenon_equiv_s _ _ zenon_H39); [ zenon_intro zenon_H2e; zenon_intro zenon_H3b | zenon_intro zenon_H30; zenon_intro zenon_H3a ]. % 0.41/0.57 exact (zenon_H2e zenon_H30). % 0.41/0.57 generalize (symmetry_of_at_the_same_time (at zenon_TY_bp zenon_TP_bs)). zenon_intro zenon_H3c. % 0.41/0.57 generalize (zenon_H3c (at zenon_TX_bm zenon_TP_bs)). zenon_intro zenon_H3d. % 0.41/0.57 apply (zenon_equiv_s _ _ zenon_H3d); [ zenon_intro zenon_H3b; zenon_intro zenon_H36 | zenon_intro zenon_H3a; zenon_intro zenon_H35 ]. % 0.41/0.57 exact (zenon_H3b zenon_H3a). % 0.41/0.57 exact (zenon_H36 zenon_H35). % 0.41/0.57 exact (zenon_H31 zenon_H2f). % 0.41/0.57 generalize (connect_defn zenon_TX_bm). zenon_intro zenon_H32. % 0.41/0.57 generalize (zenon_H32 zenon_TY_bp). zenon_intro zenon_H33. % 0.41/0.57 generalize (zenon_H33 zenon_TP_bs). zenon_intro zenon_H34. % 0.41/0.57 apply (zenon_equiv_s _ _ zenon_H34); [ zenon_intro zenon_H31; zenon_intro zenon_H36 | zenon_intro zenon_H2f; zenon_intro zenon_H35 ]. % 0.41/0.57 exact (zenon_H31 zenon_H2f). % 0.41/0.57 generalize (connect_defn zenon_TY_bp). zenon_intro zenon_H37. % 0.41/0.57 generalize (zenon_H37 zenon_TX_bm). zenon_intro zenon_H38. % 0.41/0.57 generalize (zenon_H38 zenon_TP_bs). zenon_intro zenon_H39. % 0.41/0.57 apply (zenon_equiv_s _ _ zenon_H39); [ zenon_intro zenon_H2e; zenon_intro zenon_H3b | zenon_intro zenon_H30; zenon_intro zenon_H3a ]. % 0.41/0.57 generalize (symmetry_of_at_the_same_time (at zenon_TX_bm zenon_TP_bs)). zenon_intro zenon_H3e. % 0.41/0.57 generalize (zenon_H3e (at zenon_TY_bp zenon_TP_bs)). zenon_intro zenon_H3f. % 0.41/0.57 apply (zenon_equiv_s _ _ zenon_H3f); [ zenon_intro zenon_H36; zenon_intro zenon_H3b | zenon_intro zenon_H35; zenon_intro zenon_H3a ]. % 0.41/0.57 exact (zenon_H36 zenon_H35). % 0.41/0.57 exact (zenon_H3b zenon_H3a). % 0.41/0.57 exact (zenon_H2e zenon_H30). % 0.41/0.57 Qed. % 0.41/0.57 % SZS output end Proof % 0.41/0.57 (* END-PROOF *) % 0.41/0.57 nodes searched: 1667 % 0.41/0.57 max branch formulas: 759 % 0.41/0.57 proof nodes created: 76 % 0.41/0.57 formulas created: 13754 % 0.41/0.57 %------------------------------------------------------------------------------