%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : SET610+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 : n012.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 07:10:56 PM UTC 2026 % Result : Theorem 1.87s 2.28s % Output : Proof 1.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SET610+3 : TPTP v9.2.1. Released v2.2.0. % 0.00/0.06 % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % 0.07/0.24 % Computer : n012.cluster.edu % 0.07/0.24 % Model : x86_64 x86_64 % 0.07/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.24 % Memory : 8042.1875MB % 0.07/0.24 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.24 % CPULimit : 300 % 0.07/0.24 % WCLimit : 300 % 0.07/0.24 % DateTime : Mon May 11 13:40:31 EDT 2026 % 0.07/0.24 % CPUTime : % 1.87/2.28 % SZS status Theorem % 1.87/2.28 % SZS output start Proof % 1.87/2.28 % 1.87/2.28 =============================================================== % 1.87/2.28 TPTP Problem: prove_th83 (conjecture with 8 axiom(s)) % 1.87/2.28 Axioms: [member_equal,union_defn,difference_defn,equal_defn,commutativity_of_union,equal_member_defn,subset_defn,reflexivity_of_subset] % 1.87/2.28 =============================================================== % 1.87/2.28 % 1.87/2.28 Combined formula: 8 axiom(s) => conjecture % 1.87/2.28 % 1.87/2.28 % Equality/functions detected -> nanoCoP oracle mode % 1.87/2.28 nanoCoP : % 1.87/2.28 % 3,456,814 inferences, 1.580 CPU in 1.581 seconds (100% CPU, 2187402 Lips) % 1.87/2.28 % 1.87/2.28 % nanoCoP proof (equality/functions) % 1.87/2.28 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 1.87/2.28 % 1.87/2.28 % SZS output end Proof %------------------------------------------------------------------------------