%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO148+1 : TPTP v8.1.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n024.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 07:00:14 EDT 2022 % Result : Theorem 0.41s 0.58s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : GEO148+1 : TPTP v8.1.0. Released v2.4.0. % 0.11/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n024.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Sat Jun 18 14:31:17 EDT 2022 % 0.12/0.33 % CPUTime : % 0.41/0.58 (* PROOF-FOUND *) % 0.41/0.58 % SZS status Theorem % 0.41/0.58 (* BEGIN-PROOF *) % 0.41/0.58 % SZS output start Proof % 0.41/0.58 Theorem t14 : (forall P : zenon_U, (forall X : zenon_U, (forall Y : zenon_U, ((connect X Y P)->(forall Q1 : zenon_U, (forall Q2 : zenon_U, (((ordered_by (trajectory_of Y) Q2 P)/\(ordered_by (trajectory_of X) P Q1))->(~(once (at_the_same_time (at X Q1) (at Y Q2))))))))))). % 0.41/0.58 Proof. % 0.41/0.58 apply NNPP. intro zenon_G. % 0.41/0.58 apply (zenon_notallex_s (fun P : zenon_U => (forall X : zenon_U, (forall Y : zenon_U, ((connect X Y P)->(forall Q1 : zenon_U, (forall Q2 : zenon_U, (((ordered_by (trajectory_of Y) Q2 P)/\(ordered_by (trajectory_of X) P Q1))->(~(once (at_the_same_time (at X Q1) (at Y Q2))))))))))) zenon_G); [ zenon_intro zenon_H25; idtac ]. % 0.41/0.58 elim zenon_H25. zenon_intro zenon_TP_bm. zenon_intro zenon_H27. % 0.41/0.58 apply (zenon_notallex_s (fun X : zenon_U => (forall Y : zenon_U, ((connect X Y zenon_TP_bm)->(forall Q1 : zenon_U, (forall Q2 : zenon_U, (((ordered_by (trajectory_of Y) Q2 zenon_TP_bm)/\(ordered_by (trajectory_of X) zenon_TP_bm Q1))->(~(once (at_the_same_time (at X Q1) (at Y Q2)))))))))) zenon_H27); [ zenon_intro zenon_H28; idtac ]. % 0.41/0.58 elim zenon_H28. zenon_intro zenon_TX_bp. zenon_intro zenon_H2a. % 0.41/0.58 apply (zenon_notallex_s (fun Y : zenon_U => ((connect zenon_TX_bp Y zenon_TP_bm)->(forall Q1 : zenon_U, (forall Q2 : zenon_U, (((ordered_by (trajectory_of Y) Q2 zenon_TP_bm)/\(ordered_by (trajectory_of zenon_TX_bp) zenon_TP_bm Q1))->(~(once (at_the_same_time (at zenon_TX_bp Q1) (at Y Q2))))))))) zenon_H2a); [ zenon_intro zenon_H2b; idtac ]. % 0.41/0.58 elim zenon_H2b. zenon_intro zenon_TY_bs. zenon_intro zenon_H2d. % 0.41/0.58 apply (zenon_notimply_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.41/0.58 generalize (connect_defn zenon_TX_bp). zenon_intro zenon_H30. % 0.41/0.58 generalize (zenon_H30 zenon_TY_bs). zenon_intro zenon_H31. % 0.41/0.58 generalize (zenon_H31 zenon_TP_bm). zenon_intro zenon_H32. % 0.41/0.58 apply (zenon_equiv_s _ _ zenon_H32); [ zenon_intro zenon_H35; zenon_intro zenon_H34 | zenon_intro zenon_H2f; zenon_intro zenon_H33 ]. % 0.41/0.58 exact (zenon_H35 zenon_H2f). % 0.41/0.58 apply (zenon_notallex_s (fun Q1 : zenon_U => (forall Q2 : zenon_U, (((ordered_by (trajectory_of zenon_TY_bs) Q2 zenon_TP_bm)/\(ordered_by (trajectory_of zenon_TX_bp) zenon_TP_bm Q1))->(~(once (at_the_same_time (at zenon_TX_bp Q1) (at zenon_TY_bs Q2))))))) zenon_H2e); [ zenon_intro zenon_H36; idtac ]. % 0.41/0.58 elim zenon_H36. zenon_intro zenon_TQ1_cd. zenon_intro zenon_H38. % 0.41/0.58 apply (zenon_notallex_s (fun Q2 : zenon_U => (((ordered_by (trajectory_of zenon_TY_bs) Q2 zenon_TP_bm)/\(ordered_by (trajectory_of zenon_TX_bp) zenon_TP_bm zenon_TQ1_cd))->(~(once (at_the_same_time (at zenon_TX_bp zenon_TQ1_cd) (at zenon_TY_bs Q2)))))) zenon_H38); [ zenon_intro zenon_H39; idtac ]. % 0.41/0.58 elim zenon_H39. zenon_intro zenon_TQ2_cg. zenon_intro zenon_H3b. % 0.41/0.58 apply (zenon_notimply_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H3c. % 0.41/0.58 apply zenon_H3c. zenon_intro zenon_H3e. % 0.41/0.58 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H40. zenon_intro zenon_H3f. % 0.41/0.58 generalize (homogeneous_behaviour zenon_TP_bm). zenon_intro zenon_H41. % 0.41/0.58 generalize (zenon_H41 zenon_TP_bm). zenon_intro zenon_H42. % 0.41/0.58 generalize (zenon_H42 zenon_TQ1_cd). zenon_intro zenon_H43. % 0.41/0.58 generalize (zenon_H43 zenon_TQ2_cg). zenon_intro zenon_H44. % 0.41/0.58 generalize (zenon_H44 zenon_TX_bp). zenon_intro zenon_H45. % 0.41/0.58 generalize (zenon_H45 zenon_TY_bs). zenon_intro zenon_H46. % 0.41/0.58 apply (zenon_imply_s _ _ zenon_H46); [ zenon_intro zenon_H48 | zenon_intro zenon_H47 ]. % 0.41/0.58 apply (zenon_notand_s _ _ zenon_H48); [ zenon_intro zenon_H34 | zenon_intro zenon_H49 ]. % 0.41/0.58 exact (zenon_H34 zenon_H33). % 0.41/0.58 exact (zenon_H49 zenon_H3e). % 0.41/0.58 apply (zenon_notand_s _ _ zenon_H47); [ zenon_intro zenon_H4b | zenon_intro zenon_H4a ]. % 0.41/0.58 exact (zenon_H4b zenon_H3f). % 0.41/0.58 exact (zenon_H4a zenon_H40). % 0.41/0.58 Qed. % 0.41/0.58 % SZS output end Proof % 0.41/0.58 (* END-PROOF *) % 0.41/0.58 nodes searched: 3913 % 0.41/0.58 max branch formulas: 1715 % 0.41/0.58 proof nodes created: 295 % 0.41/0.58 formulas created: 23200 % 0.41/0.58 %------------------------------------------------------------------------------