%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SWW216+1 : TPTP v9.0.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n001.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 : 300s % DateTime : Mon Apr 14 09:13:50 AM UTC 2025 % Result : Theorem 134.33s 134.53s % Output : Proof 134.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : SWW216+1 : TPTP v9.0.0. Released v5.2.0. % 0.10/0.12 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n001.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 : 300 % 0.13/0.34 % DateTime : Mon Apr 14 02:06:04 EDT 2025 % 0.13/0.34 % CPUTime : % 134.33/134.53 (* PROOF-FOUND *) % 134.33/134.53 % SZS status Theorem % 134.33/134.53 (* BEGIN-PROOF *) % 134.33/134.53 % SZS output start Proof % 134.33/134.53 Theorem conj_0 : (c_Orderings_Oord__class_Oless (tc_RealDef_Oreal) (hAPP (c_Groups_Otimes__class_Otimes (tc_RealDef_Oreal) (v_da____)) (v_m____)) (v_e)). % 134.33/134.53 Proof. % 134.33/134.53 apply NNPP. intro zenon_G. % 134.33/134.53 generalize (fact_pos__less__divide__eq (v_e)). zenon_intro zenon_H4bf. % 134.33/134.53 generalize (zenon_H4bf (v_da____)). zenon_intro zenon_H4c0. % 134.33/134.53 generalize (zenon_H4c0 (v_m____)). zenon_intro zenon_H4c1. % 134.33/134.53 generalize (zenon_H4c1 (tc_RealDef_Oreal)). zenon_intro zenon_H4c2. % 134.33/134.53 apply (zenon_imply_s _ _ zenon_H4c2); [ zenon_intro zenon_H4c4 | zenon_intro zenon_H4c3 ]. % 134.33/134.53 exact (zenon_H4c4 arity_RealDef__Oreal__Fields_Olinordered__field). % 134.33/134.53 apply (zenon_imply_s _ _ zenon_H4c3); [ zenon_intro zenon_H4c6 | zenon_intro zenon_H4c5 ]. % 134.33/134.53 exact (zenon_H4c6 fact_m_I1_J). % 134.33/134.53 apply (zenon_equiv_s _ _ zenon_H4c5); [ zenon_intro zenon_H4c8; zenon_intro zenon_G | zenon_intro fact_H_I3_J; zenon_intro zenon_H4c7 ]. % 134.33/134.53 exact (zenon_H4c8 fact_H_I3_J). % 134.33/134.53 exact (zenon_G zenon_H4c7). % 134.33/134.53 Qed. % 134.33/134.53 % SZS output end Proof % 134.33/134.53 (* END-PROOF *) % 134.33/134.53 nodes searched: 517614 % 134.33/134.53 max branch formulas: 90031 % 134.33/134.53 proof nodes created: 2027 % 134.33/134.53 formulas created: 6261798 % 134.33/134.53 %------------------------------------------------------------------------------