%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : GRA003+1 : TPTP v9.2.1. Bugfixed v3.2.0. % Transfm : none % Format : tptp:raw % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % Computer : n003.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 06:59:32 PM UTC 2026 % Result : Theorem 27.94s 28.22s % Output : Proof 27.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRA003+1 : TPTP v9.2.1. Bugfixed v3.2.0. % 0.00/0.12 % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % 0.13/0.32 % Computer : n003.cluster.edu % 0.13/0.32 % Model : x86_64 x86_64 % 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.32 % Memory : 8042.1875MB % 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.32 % CPULimit : 300 % 0.13/0.32 % WCLimit : 300 % 0.13/0.32 % DateTime : Mon May 11 11:51:12 EDT 2026 % 0.13/0.32 % CPUTime : % 27.94/28.22 % SZS status Theorem % 27.94/28.22 % SZS output start Proof % 27.94/28.22 % 27.94/28.22 =============================================================== % 27.94/28.22 TPTP Problem: vertices_and_edges (conjecture with 17 axiom(s)) % 27.94/28.22 Axioms: [no_loops,edge_ends_are_vertices,complete_properties,path_defn,path_properties,on_path_properties,in_path_properties,sequential_defn,precedes_defn,precedes_properties,shortest_path_defn,shortest_path_properties,triangle_defn,length_defn,path_length_sequential_pairs,sequential_pairs_and_triangles,graph_has_them_all] % 27.94/28.22 =============================================================== % 27.94/28.22 % 27.94/28.22 Combined formula: 17 axiom(s) => conjecture % 27.94/28.22 % 27.94/28.22 % Equality/functions detected -> nanoCoP oracle mode % 27.94/28.22 nanoCoP : % 27.94/28.22 % 66,411,810 inferences, 26.477 CPU in 26.476 seconds (100% CPU, 2508294 Lips) % 27.94/28.22 % 27.94/28.22 % nanoCoP proof (equality/functions) % 27.94/28.22 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 27.94/28.22 % 27.94/28.22 % SZS output end Proof %------------------------------------------------------------------------------