%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : SET637+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 : n024.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 07:11:01 PM UTC 2026 % Result : Theorem 0.51s 1.26s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SET637+3 : TPTP v9.2.1. Released v2.2.0. % 0.00/0.06 % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % 0.06/0.24 % Computer : n024.cluster.edu % 0.06/0.24 % Model : x86_64 x86_64 % 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.24 % Memory : 8042.1875MB % 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.24 % CPULimit : 300 % 0.06/0.24 % WCLimit : 300 % 0.06/0.24 % DateTime : Mon May 11 08:40:42 EDT 2026 % 0.06/0.24 % CPUTime : % 0.51/1.26 % SZS status Theorem % 0.51/1.26 % SZS output start Proof % 0.51/1.26 % 0.51/1.26 =============================================================== % 0.51/1.26 TPTP Problem: prove_th119 (conjecture with 8 axiom(s)) % 0.51/1.26 Axioms: [intersection_defn,intersect_defn,empty_set_defn,equal_member_defn,not_equal_defn,commutativity_of_intersection,symmetry_of_intersect,empty_defn] % 0.51/1.26 =============================================================== % 0.51/1.26 % 0.51/1.26 Combined formula: 8 axiom(s) => conjecture % 0.51/1.26 % 0.51/1.26 % Equality/functions detected -> nanoCoP oracle mode % 0.51/1.26 nanoCoP : % 0.51/1.26 % 635,364 inferences, 0.253 CPU in 0.267 seconds (95% CPU, 2514777 Lips) % 0.51/1.26 % 0.51/1.26 % nanoCoP proof (equality/functions) % 0.51/1.26 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 0.51/1.26 % 0.51/1.26 % SZS output end Proof %------------------------------------------------------------------------------