%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : SET014+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 : n015.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 07:10:02 PM UTC 2026 % Result : Theorem 0.55s 1.36s % Output : Proof 0.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SET014+3 : TPTP v9.2.1. Released v2.2.0. % 0.00/0.12 % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % 0.14/0.33 % Computer : n015.cluster.edu % 0.14/0.33 % Model : x86_64 x86_64 % 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.33 % Memory : 8042.1875MB % 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.33 % CPULimit : 300 % 0.14/0.33 % WCLimit : 300 % 0.14/0.33 % DateTime : Mon May 11 13:36:17 EDT 2026 % 0.14/0.33 % CPUTime : % 0.55/1.36 % SZS status Theorem % 0.55/1.36 % SZS output start Proof % 0.55/1.37 % 0.55/1.37 =============================================================== % 0.55/1.37 TPTP Problem: prove_union_subset (conjecture with 5 axiom(s)) % 0.55/1.37 Axioms: [union_defn,subset_defn,commutativity_of_union,reflexivity_of_subset,equal_member_defn] % 0.55/1.37 =============================================================== % 0.55/1.37 % 0.55/1.37 Combined formula: 5 axiom(s) => conjecture % 0.55/1.37 % 0.55/1.37 % Equality/functions detected -> nanoCoP oracle mode % 0.55/1.37 nanoCoP : % 0.55/1.37 % 78,898 inferences, 0.063 CPU in 0.063 seconds (100% CPU, 1260664 Lips) % 0.55/1.37 % 0.55/1.37 % nanoCoP proof (equality/functions) % 0.55/1.37 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 0.55/1.37 % 0.55/1.37 % SZS output end Proof %------------------------------------------------------------------------------