%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : SET584+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 : n028.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 07:10:52 PM UTC 2026 % Result : Theorem 0.67s 1.36s % Output : Proof 0.67s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET584+3 : TPTP v9.2.1. Released v2.2.0. % 0.13/0.13 % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % 0.16/0.32 % Computer : n028.cluster.edu % 0.16/0.32 % Model : x86_64 x86_64 % 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.32 % Memory : 8042.1875MB % 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.32 % CPULimit : 300 % 0.16/0.32 % WCLimit : 300 % 0.16/0.32 % DateTime : Mon May 11 13:40:17 EDT 2026 % 0.16/0.32 % CPUTime : % 0.67/1.36 % SZS status Theorem % 0.67/1.36 % SZS output start Proof % 0.67/1.36 % 0.67/1.36 =============================================================== % 0.67/1.36 TPTP Problem: prove_th33 (conjecture with 5 axiom(s)) % 0.67/1.36 Axioms: [union_defn,subset_defn,commutativity_of_union,reflexivity_of_subset,equal_member_defn] % 0.67/1.36 =============================================================== % 0.67/1.36 % 0.67/1.36 Combined formula: 5 axiom(s) => conjecture % 0.67/1.36 % 0.67/1.36 % Equality/functions detected -> nanoCoP oracle mode % 0.67/1.36 nanoCoP : % 0.67/1.36 % 493,419 inferences, 0.219 CPU in 0.219 seconds (100% CPU, 2252494 Lips) % 0.67/1.36 % 0.67/1.36 % nanoCoP proof (equality/functions) % 0.67/1.36 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 0.67/1.36 % 0.67/1.36 % SZS output end Proof %------------------------------------------------------------------------------