%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : SET635+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 : n021.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 07:11:00 PM UTC 2026 % Result : Theorem 29.64s 29.27s % Output : Proof 29.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET635+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % 0.17/0.34 % Computer : n021.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Mon May 11 13:41:46 EDT 2026 % 0.17/0.34 % CPUTime : % 29.64/29.27 % SZS status Theorem % 29.64/29.27 % SZS output start Proof % 29.64/29.27 % 29.64/29.27 =============================================================== % 29.64/29.27 TPTP Problem: prove_th117 (conjecture with 15 axiom(s)) % 29.64/29.27 Axioms: [intersection_is_subset,difference_empty_set,union_empty_set,difference_and_intersection_and_union,difference_and_intersection,intersection_defn,difference_defn,equal_defn,commutativity_of_union,empty_set_defn,commutativity_of_intersection,subset_defn,reflexivity_of_subset,equal_member_defn,empty_defn] % 29.64/29.27 =============================================================== % 29.64/29.27 % 29.64/29.27 Combined formula: 15 axiom(s) => conjecture % 29.64/29.27 % 29.64/29.27 % Equality/functions detected -> nanoCoP oracle mode % 29.64/29.27 nanoCoP : % 29.64/29.27 % 78,586,358 inferences, 28.096 CPU in 28.101 seconds (100% CPU, 2797082 Lips) % 29.64/29.27 % 29.64/29.27 % nanoCoP proof (equality/functions) % 29.64/29.27 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 29.64/29.27 % 29.64/29.27 % SZS output end Proof %------------------------------------------------------------------------------