%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : ITP023+1 : TPTP v9.2.1. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : g4plus.sh /export/starexec/sandbox2/benchmark/theBenchmark.p 300 % Computer : n007.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 : Tue May 12 07:01:51 PM UTC 2026 % Result : Theorem 6.55s 7.61s % Output : Proof 6.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP023+1 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.12/0.13 % Command : g4plus.sh /export/starexec/sandbox2/benchmark/theBenchmark.p 300 % 0.16/0.34 % Computer : n007.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon May 11 12:14:09 EDT 2026 % 0.16/0.34 % CPUTime : % 6.55/7.61 % SZS status Theorem % 6.55/7.61 % SZS output start Proof % 6.55/7.61 % 6.55/7.61 =============================================================== % 6.55/7.61 TPTP Problem: thm_2Ereal__topology_2EBOUNDED__BALL (conjecture with 52 axiom(s)) % 6.55/7.61 Axioms: [reserved_2Eho_2Eeq__ext,reserved_2Eho_2Eboolext,reserved_2Eho_2Etruth,reserved_2Eho_2Enotfalse,reserved_2Eho_2Ebool__cases__ax,reserved_2Eho_2Ei__thm,reserved_2Eho_2Ek__thm,reserved_2Eho_2Es__thm,reserved_2Elogic_2E_2F_5C,reserved_2Elogic_2E_5C_2F,reserved_2Elogic_2E_7E,reserved_2Elogic_2E_3D_3D_3E,reserved_2Elogic_2E_3D,reserved_2Equant_2E_21,reserved_2Equant_2E_3F,arityeq2_2Ec_2Ebool_2E_2F_5C_2E2,arityeq2_2Ec_2Ebool_2E_5C_2F_2E2,arityeq1_2Ec_2Ebool_2E_7E_2E1,arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2,arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a,arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a,arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a,arityeq1_2Ec_2Ereal__topology_2Ebounded__def_2E1,arityeq2_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal,arityeq1_2Ec_2Ereal__topology_2Eball_2E1,arityeq1_2Ec_2Ereal__topology_2Ecball_2E1,arityeq2_2Ec_2Epred__set_2ESUBSET_2E2_2Emono_2Etyop_2Erealax_2Ereal,thm_2Ebool_2ETRUTH,thm_2Ebool_2EIMP__ANTISYM__AX,thm_2Ebool_2EIMP__F,thm_2Ebool_2EF__IMP,thm_2Ebool_2EIMP__CLAUSES,thm_2Ebool_2ENOT__CLAUSES,thm_2Ebool_2EEQ__SYM__EQ,thm_2Ebool_2EEQ__CLAUSES,thm_2Ebool_2ENOT__FORALL__THM,thm_2Ebool_2EDISJ__ASSOC,thm_2Ebool_2EDISJ__SYM,thm_2Ebool_2EDE__MORGAN__THM,thm_2Ereal__topology_2EBALL__SUBSET__CBALL,thm_2Ereal__topology_2EBOUNDED__SUBSET,thm_2Ereal__topology_2EBOUNDED__CBALL,thm_2Esat_2ENOT__NOT,thm_2Esat_2EAND__INV__IMP,thm_2Esat_2EOR__DUAL2,thm_2Esat_2EOR__DUAL3,thm_2Esat_2EAND__INV2,thm_2Esat_2Edc__eq,thm_2Esat_2Edc__conj,thm_2Esat_2Edc__disj,thm_2Esat_2Edc__imp,thm_2Esat_2Edc__neg] % 6.55/7.61 =============================================================== % 6.55/7.61 % 6.55/7.61 Combined formula: 52 axiom(s) => conjecture % 6.55/7.61 % 6.55/7.61 % Equality/functions detected -> nanoCoP oracle mode % 6.55/7.61 nanoCoP : % 6.55/7.61 % 8,960,773 inferences, 5.740 CPU in 5.740 seconds (100% CPU, 1561019 Lips) % 6.55/7.61 % 6.55/7.61 % nanoCoP proof (equality/functions) % 6.55/7.61 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 6.55/7.61 % 6.55/7.61 % SZS output end Proof %------------------------------------------------------------------------------