%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : SET592+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 : n020.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 07:10:53 PM UTC 2026 % Result : Theorem 0.56s 1.34s % Output : Proof 0.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SET592+3 : TPTP v9.2.1. Released v2.2.0. % 0.00/0.12 % Command : g4plus.sh /export/starexec/sandbox2/benchmark/theBenchmark.p 300 % 0.12/0.31 % Computer : n020.cluster.edu % 0.12/0.31 % Model : x86_64 x86_64 % 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.31 % Memory : 8042.1875MB % 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.31 % CPULimit : 300 % 0.12/0.31 % WCLimit : 300 % 0.12/0.31 % DateTime : Mon May 11 13:40:06 EDT 2026 % 0.12/0.31 % CPUTime : % 0.56/1.34 % SZS status Theorem % 0.56/1.34 % SZS output start Proof % 0.56/1.34 % 0.56/1.34 =============================================================== % 0.56/1.34 TPTP Problem: prove_th51 (conjecture with 10 axiom(s)) % 0.56/1.34 Axioms: [subset_of_empty_set_is_empty_set,intersection_of_subsets,empty_set_defn,intersection_defn,subset_defn,equal_defn,commutativity_of_intersection,reflexivity_of_subset,empty_defn,equal_member_defn] % 0.56/1.34 =============================================================== % 0.56/1.34 % 0.56/1.34 Combined formula: 10 axiom(s) => conjecture % 0.56/1.34 % 0.56/1.34 % Equality/functions detected -> nanoCoP oracle mode % 0.56/1.34 nanoCoP : % 0.56/1.34 % 219,580 inferences, 0.096 CPU in 0.096 seconds (100% CPU, 2276274 Lips) % 0.56/1.34 % 0.56/1.34 % nanoCoP proof (equality/functions) % 0.56/1.34 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 0.56/1.34 % 0.56/1.34 % SZS output end Proof %------------------------------------------------------------------------------