%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : SET012+4 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : g4plus.sh /export/starexec/sandbox2/benchmark/theBenchmark.p 300 % Computer : n008.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 07:10:01 PM UTC 2026 % Result : Theorem 2.79s 3.43s % Output : Proof 2.79s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SET012+4 : TPTP v9.2.1. Released v2.2.0. % 0.00/0.12 % Command : g4plus.sh /export/starexec/sandbox2/benchmark/theBenchmark.p 300 % 0.15/0.33 % Computer : n008.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 13:36:15 EDT 2026 % 0.15/0.33 % CPUTime : % 2.79/3.43 % SZS status Theorem % 2.79/3.43 % SZS output start Proof % 2.79/3.44 % 2.79/3.44 =============================================================== % 2.79/3.44 TPTP Problem: thI23 (conjecture with 11 axiom(s)) % 2.79/3.44 Axioms: [subset,equal_set,power_set,intersection,union,empty_set,difference,singleton,unordered_pair,sum,product] % 2.79/3.44 =============================================================== % 2.79/3.44 % 2.79/3.44 Combined formula: 11 axiom(s) => conjecture % 2.79/3.44 % 2.79/3.44 % Equality/functions detected -> nanoCoP oracle mode % 2.79/3.44 nanoCoP : % 2.79/3.44 % 5,791,206 inferences, 2.232 CPU in 2.232 seconds (100% CPU, 2594385 Lips) % 2.79/3.44 % 2.79/3.44 % nanoCoP proof (equality/functions) % 2.79/3.44 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 2.79/3.44 % 2.79/3.44 % SZS output end Proof %------------------------------------------------------------------------------