%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : SET063+3 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % Computer : n005.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 07:10:12 PM UTC 2026 % Result : Theorem 0.47s 1.38s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SET063+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % 0.16/0.34 % Computer : n005.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 13:36:46 EDT 2026 % 0.16/0.34 % CPUTime : % 0.47/1.38 % SZS status Theorem % 0.47/1.38 % SZS output start Proof % 0.47/1.38 % 0.47/1.38 =============================================================== % 0.47/1.38 TPTP Problem: prove_subset_of_empty_set_is_empty_set (conjecture with 6 axiom(s)) % 0.47/1.38 Axioms: [empty_set_subset,empty_set_defn,subset_defn,equal_defn,reflexivity_of_subset,empty_defn] % 0.47/1.38 =============================================================== % 0.47/1.38 % 0.47/1.38 Combined formula: 6 axiom(s) => conjecture % 0.47/1.38 % 0.47/1.38 % Equality/functions detected -> nanoCoP oracle mode % 0.47/1.38 nanoCoP : % 0.47/1.38 % 5,615 inferences, 0.002 CPU in 0.002 seconds (100% CPU, 2797294 Lips) % 0.47/1.38 % 0.47/1.38 % nanoCoP proof (equality/functions) % 0.47/1.38 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 0.47/1.38 % 0.47/1.38 % SZS output end Proof %------------------------------------------------------------------------------