%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : SET612+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 : n007.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 07:10:57 PM UTC 2026 % Result : Theorem 28.96s 29.27s % Output : Proof 28.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET612+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % 0.16/0.34 % Computer : n007.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon May 11 13:39:54 EDT 2026 % 0.16/0.34 % CPUTime : % 28.96/29.27 % SZS status Theorem % 28.96/29.27 % SZS output start Proof % 28.96/29.27 % 28.96/29.27 =============================================================== % 28.96/29.27 TPTP Problem: prove_th85 (conjecture with 12 axiom(s)) % 28.96/29.27 Axioms: [union_defn,intersection_defn,difference_defn,subset_of_union,intersection_of_subsets,subset_difference,equal_defn,commutativity_of_union,commutativity_of_intersection,subset_defn,reflexivity_of_subset,equal_member_defn] % 28.96/29.27 =============================================================== % 28.96/29.27 % 28.96/29.27 Combined formula: 12 axiom(s) => conjecture % 28.96/29.27 % 28.96/29.27 % Equality/functions detected -> nanoCoP oracle mode % 28.96/29.27 nanoCoP : % 28.96/29.27 % 65,832,772 inferences, 27.449 CPU in 27.454 seconds (100% CPU, 2398392 Lips) % 28.96/29.27 % 28.96/29.27 % nanoCoP proof (equality/functions) % 28.96/29.27 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 28.96/29.27 % 28.96/29.27 % SZS output end Proof %------------------------------------------------------------------------------