%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : SET143+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 : n027.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 07:10:23 PM UTC 2026 % Result : Theorem 1.68s 2.41s % Output : Proof 1.68s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET143+3 : TPTP v9.2.1. Released v2.2.0. % 0.00/0.13 % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % 0.14/0.33 % Computer : n027.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 13:38:05 EDT 2026 % 0.14/0.33 % CPUTime : % 1.68/2.41 % SZS status Theorem % 1.68/2.41 % SZS output start Proof % 1.68/2.41 % 1.68/2.41 =============================================================== % 1.68/2.41 TPTP Problem: prove_associativity_of_intersection (conjecture with 6 axiom(s)) % 1.68/2.41 Axioms: [intersection_defn,equal_defn,commutativity_of_intersection,subset_defn,reflexivity_of_subset,equal_member_defn] % 1.68/2.41 =============================================================== % 1.68/2.41 % 1.68/2.41 Combined formula: 6 axiom(s) => conjecture % 1.68/2.41 % 1.68/2.41 % Equality/functions detected -> nanoCoP oracle mode % 1.68/2.41 nanoCoP : % 1.68/2.41 % 3,497,879 inferences, 1.199 CPU in 1.198 seconds (100% CPU, 2918395 Lips) % 1.68/2.41 % 1.68/2.41 % nanoCoP proof (equality/functions) % 1.68/2.41 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 1.68/2.41 % 1.68/2.41 % SZS output end Proof %------------------------------------------------------------------------------