%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : SET169+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 : n004.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 07:10:26 PM UTC 2026 % Result : Theorem 4.13s 4.47s % Output : Proof 4.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET169+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % 0.15/0.34 % Computer : n004.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Mon May 11 13:38:03 EDT 2026 % 0.15/0.34 % CPUTime : % 4.13/4.47 % SZS status Theorem % 4.13/4.47 % SZS output start Proof % 4.13/4.47 % 4.13/4.47 =============================================================== % 4.13/4.47 TPTP Problem: prove_intersection_distributes_over_union (conjecture with 8 axiom(s)) % 4.13/4.47 Axioms: [union_defn,intersection_defn,equal_defn,commutativity_of_union,commutativity_of_intersection,subset_defn,reflexivity_of_subset,equal_member_defn] % 4.13/4.47 =============================================================== % 4.13/4.47 % 4.13/4.47 Combined formula: 8 axiom(s) => conjecture % 4.13/4.47 % 4.13/4.47 % Equality/functions detected -> nanoCoP oracle mode % 4.13/4.47 nanoCoP : % 4.13/4.47 % 9,282,150 inferences, 3.513 CPU in 3.512 seconds (100% CPU, 2642518 Lips) % 4.13/4.47 % 4.13/4.47 % nanoCoP proof (equality/functions) % 4.13/4.47 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 4.13/4.47 % 4.13/4.47 % SZS output end Proof %------------------------------------------------------------------------------