%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : GEO146+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % Computer : n020.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 06:58:42 PM UTC 2026 % Result : Theorem 0.64s 1.37s % Output : Proof 0.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : GEO146+1 : TPTP v9.2.1. Released v2.4.0. % 0.11/0.13 % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % 0.16/0.34 % Computer : n020.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 11:43:51 EDT 2026 % 0.16/0.34 % CPUTime : % 0.64/1.37 % SZS status Theorem % 0.64/1.38 % SZS output start Proof % 0.64/1.38 % 0.64/1.38 =============================================================== % 0.64/1.38 TPTP Problem: t12 (conjecture with 36 axiom(s)) % 0.64/1.38 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,between_o_defn,start_point_defn,finish_point_defn,o1,o2,o3,o4,o5,o6,underlying_curve_defn,connect_defn,symmetry_of_at_the_same_time,assciativity_of_at_the_same_time,idempotence_of_at_the_same_time,conjunction_at_the_same_time,at_on_trajectory,trajectories_are_oriented_curves,homogeneous_behaviour,localization] % 0.64/1.38 =============================================================== % 0.64/1.38 % 0.64/1.38 Combined formula: 36 axiom(s) => conjecture % 0.64/1.38 % 0.64/1.38 % Equality/functions detected -> nanoCoP oracle mode % 0.64/1.38 nanoCoP : % 0.64/1.38 % 167,878 inferences, 0.115 CPU in 0.115 seconds (100% CPU, 1457996 Lips) % 0.64/1.38 % 0.64/1.38 % nanoCoP proof (equality/functions) % 0.64/1.38 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 0.64/1.38 % 0.64/1.38 % SZS output end Proof %------------------------------------------------------------------------------