%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : SET636+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 : n016.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 11.88s 12.71s % Output : Proof 11.88s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SET636+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 : n016.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 13:41:22 EDT 2026 % 0.14/0.33 % CPUTime : % 11.88/12.71 % SZS status Theorem % 11.88/12.72 % SZS output start Proof % 11.88/12.72 % 11.88/12.72 =============================================================== % 11.88/12.72 TPTP Problem: prove_th118 (conjecture with 11 axiom(s)) % 11.88/12.72 Axioms: [intersection_defn,intersect_defn,empty_set_defn,disjoint_defn,equal_defn,commutativity_of_intersection,symmetry_of_intersect,subset_defn,reflexivity_of_subset,empty_defn,equal_member_defn] % 11.88/12.72 =============================================================== % 11.88/12.72 % 11.88/12.72 Combined formula: 11 axiom(s) => conjecture % 11.88/12.72 % 11.88/12.72 % Equality/functions detected -> nanoCoP oracle mode % 11.88/12.72 nanoCoP : % 11.88/12.72 % 32,230,566 inferences, 10.969 CPU in 10.967 seconds (100% CPU, 2938449 Lips) % 11.88/12.72 % 11.88/12.72 % nanoCoP proof (equality/functions) % 11.88/12.72 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 11.88/12.72 % 11.88/12.72 % SZS output end Proof %------------------------------------------------------------------------------