%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : SET813+4 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : g4plus.sh /export/starexec/sandbox2/benchmark/theBenchmark.p 300 % Computer : n005.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 07:11:15 PM UTC 2026 % Result : Theorem 4.41s 5.50s % Output : Proof 4.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET813+4 : TPTP v9.2.1. Released v3.2.0. % 0.11/0.13 % Command : g4plus.sh /export/starexec/sandbox2/benchmark/theBenchmark.p 300 % 0.16/0.34 % Computer : n005.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon May 11 13:42:46 EDT 2026 % 0.16/0.34 % CPUTime : % 4.41/5.50 % SZS status Theorem % 4.41/5.50 % SZS output start Proof % 4.41/5.51 % 4.41/5.51 =============================================================== % 4.41/5.51 TPTP Problem: thV12 (conjecture with 19 axiom(s)) % 4.41/5.51 Axioms: [subset,equal_set,power_set,intersection,union,empty_set,difference,singleton,unordered_pair,sum,product,ordinal_number,strict_well_order,least,rel_member,strict_order,set_member,initial_segment,successor] % 4.41/5.51 =============================================================== % 4.41/5.51 % 4.41/5.51 Combined formula: 19 axiom(s) => conjecture % 4.41/5.51 % 4.41/5.51 % Equality/functions detected -> nanoCoP oracle mode % 4.41/5.51 nanoCoP : % 4.41/5.51 % 8,364,255 inferences, 3.764 CPU in 3.764 seconds (100% CPU, 2221958 Lips) % 4.41/5.51 % 4.41/5.51 % nanoCoP proof (equality/functions) % 4.41/5.51 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 4.41/5.51 % 4.41/5.51 % SZS output end Proof %------------------------------------------------------------------------------