%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : SET144+3 : TPTP v9.2.1. Released v2.2.0. % 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 07:10:23 PM UTC 2026 % Result : Theorem 3.60s 4.46s % Output : Proof 3.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET144+3 : TPTP v9.2.1. Released v2.2.0. % 0.00/0.12 % Command : g4plus.sh /export/starexec/sandbox2/benchmark/theBenchmark.p 300 % 0.15/0.33 % Computer : n018.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Mon May 11 13:37:33 EDT 2026 % 0.15/0.33 % CPUTime : % 3.60/4.46 % SZS status Theorem % 3.60/4.47 % SZS output start Proof % 3.60/4.47 % 3.60/4.47 =============================================================== % 3.60/4.47 TPTP Problem: prove_th44 (conjecture with 8 axiom(s)) % 3.60/4.47 Axioms: [union_defn,intersection_defn,subset_defn,equal_defn,commutativity_of_union,commutativity_of_intersection,reflexivity_of_subset,equal_member_defn] % 3.60/4.47 =============================================================== % 3.60/4.47 % 3.60/4.47 Combined formula: 8 axiom(s) => conjecture % 3.60/4.47 % 3.60/4.47 % Equality/functions detected -> nanoCoP oracle mode % 3.60/4.47 nanoCoP : % 3.60/4.47 % 7,591,859 inferences, 3.013 CPU in 3.013 seconds (100% CPU, 2519383 Lips) % 3.60/4.47 % 3.60/4.47 % nanoCoP proof (equality/functions) % 3.60/4.47 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 3.60/4.47 % 3.60/4.47 % SZS output end Proof %------------------------------------------------------------------------------