%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : SET762+4 : TPTP v9.2.1. Bugfixed v2.2.1. % Transfm : none % Format : tptp:raw % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % Computer : n020.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 07:11:10 PM UTC 2026 % Result : Theorem 20.58s 20.99s % Output : Proof 20.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET762+4 : TPTP v9.2.1. Bugfixed v2.2.1. % 0.00/0.12 % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % 0.15/0.32 % Computer : n020.cluster.edu % 0.15/0.32 % Model : x86_64 x86_64 % 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.32 % Memory : 8042.1875MB % 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.32 % CPULimit : 300 % 0.15/0.32 % WCLimit : 300 % 0.15/0.32 % DateTime : Mon May 11 13:41:21 EDT 2026 % 0.15/0.33 % CPUTime : % 20.58/20.99 % SZS status Theorem % 20.58/20.99 % SZS output start Proof % 20.58/21.00 % 20.58/21.00 =============================================================== % 20.58/21.00 TPTP Problem: thIIa12 (conjecture with 28 axiom(s)) % 20.58/21.00 Axioms: [subset,equal_set,power_set,intersection,union,empty_set,difference,singleton,unordered_pair,sum,product,maps,compose_predicate,compose_function,equal_maps,identity,injective,surjective,one_to_one,inverse_predicate,inverse_function,image2,image3,inverse_image2,inverse_image3,increasing_function,decreasing_function,isomorphism] % 20.58/21.00 =============================================================== % 20.58/21.00 % 20.58/21.00 Combined formula: 28 axiom(s) => conjecture % 20.58/21.00 % 20.58/21.00 % Equality/functions detected -> nanoCoP oracle mode % 20.58/21.00 nanoCoP : % 20.58/21.00 % 27,909,905 inferences, 19.324 CPU in 19.341 seconds (100% CPU, 1444290 Lips) % 20.58/21.00 % 20.58/21.00 % nanoCoP proof (equality/functions) % 20.58/21.00 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 20.58/21.00 % 20.58/21.00 % SZS output end Proof %------------------------------------------------------------------------------