%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : GEO111+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : g4plus.sh /export/starexec/sandbox2/benchmark/theBenchmark.p 300 % Computer : n018.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 06:58:38 PM UTC 2026 % Result : Theorem 3.66s 4.45s % Output : Proof 3.66s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO111+1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.12 % Command : g4plus.sh /export/starexec/sandbox2/benchmark/theBenchmark.p 300 % 0.15/0.32 % Computer : n018.cluster.edu % 0.15/0.32 % Model : x86_64 x86_64 % 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.32 % Memory : 8042.1875MB % 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.32 % CPULimit : 300 % 0.15/0.32 % WCLimit : 300 % 0.15/0.32 % DateTime : Mon May 11 11:42:18 EDT 2026 % 0.15/0.32 % CPUTime : % 3.66/4.45 % SZS status Theorem % 3.66/4.46 % SZS output start Proof % 3.66/4.46 % 3.66/4.46 =============================================================== % 3.66/4.46 TPTP Problem: theorem_3_8_1 (conjecture with 17 axiom(s)) % 3.66/4.46 Axioms: [part_of_defn,sum_defn,end_point_defn,inner_point_defn,meet_defn,closed_defn,open_defn,c1,c2,c3,c4,c5,c6,c7,c8,c9,between_c_defn] % 3.66/4.46 =============================================================== % 3.66/4.46 % 3.66/4.46 Combined formula: 17 axiom(s) => conjecture % 3.66/4.46 % 3.66/4.46 % Equality/functions detected -> nanoCoP oracle mode % 3.66/4.46 nanoCoP : % 3.66/4.46 % 5,962,398 inferences, 3.057 CPU in 3.057 seconds (100% CPU, 1950400 Lips) % 3.66/4.46 % 3.66/4.46 % nanoCoP proof (equality/functions) % 3.66/4.46 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 3.66/4.46 % 3.66/4.46 % SZS output end Proof %------------------------------------------------------------------------------