%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : SET614+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 : n006.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 10.01s 10.67s % Output : Proof 10.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET614+3 : TPTP v9.2.1. Released v2.2.0. % 0.00/0.12 % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % 0.15/0.33 % Computer : n006.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Mon May 11 13:40:32 EDT 2026 % 0.15/0.34 % CPUTime : % 10.01/10.67 % SZS status Theorem % 10.01/10.67 % SZS output start Proof % 10.01/10.67 % 10.01/10.67 =============================================================== % 10.01/10.67 TPTP Problem: prove_difference_difference_union (conjecture with 7 axiom(s)) % 10.01/10.67 Axioms: [union_defn,difference_defn,equal_defn,commutativity_of_union,subset_defn,reflexivity_of_subset,equal_member_defn] % 10.01/10.67 =============================================================== % 10.01/10.67 % 10.01/10.67 Combined formula: 7 axiom(s) => conjecture % 10.01/10.67 % 10.01/10.67 % Equality/functions detected -> nanoCoP oracle mode % 10.01/10.67 nanoCoP : % 10.01/10.67 % 23,998,695 inferences, 9.172 CPU in 9.172 seconds (100% CPU, 2616413 Lips) % 10.01/10.67 % 10.01/10.67 % nanoCoP proof (equality/functions) % 10.01/10.67 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 10.01/10.67 % 10.01/10.67 % SZS output end Proof %------------------------------------------------------------------------------