%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : SET063+1 : TPTP v9.2.1. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % Computer : n028.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 07:10:12 PM UTC 2026 % Result : Theorem 0.63s 1.38s % Output : Proof 0.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SET063+1 : TPTP v9.2.1. Bugfixed v5.4.0. % 0.07/0.13 % Command : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300 % 0.16/0.34 % Computer : n028.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 13:37:02 EDT 2026 % 0.16/0.34 % CPUTime : % 0.63/1.38 % SZS status Theorem % 0.63/1.38 % SZS output start Proof % 0.63/1.38 % 0.63/1.38 =============================================================== % 0.63/1.38 TPTP Problem: corollary_of_null_class_is_subclass (conjecture with 43 axiom(s)) % 0.63/1.38 Axioms: [subclass_defn,class_elements_are_sets,extensionality,unordered_pair_defn,unordered_pair,singleton_set_defn,ordered_pair_defn,cross_product_defn,first_second,cross_product,element_relation_defn,element_relation,intersection,complement,restrict_defn,null_class_defn,domain_of,rotate_defn,rotate,flip_defn,flip,union_defn,successor_defn,successor_relation_defn1,successor_relation_defn2,inverse_defn,range_of_defn,image_defn,inductive_defn,infinity,sum_class_defn,sum_class,power_class_defn,power_class,compose_defn1,compose_defn2,identity_relation,function_defn,replacement,disjoint_defn,regularity,apply_defn,choice] % 0.63/1.38 =============================================================== % 0.63/1.38 % 0.63/1.38 Combined formula: 43 axiom(s) => conjecture % 0.63/1.38 % 0.63/1.38 % Equality/functions detected -> nanoCoP oracle mode % 0.63/1.38 nanoCoP : % 0.63/1.38 % 142,936 inferences, 0.114 CPU in 0.115 seconds (100% CPU, 1254223 Lips) % 0.63/1.38 % 0.63/1.38 % nanoCoP proof (equality/functions) % 0.63/1.38 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 0.63/1.38 % 0.63/1.38 % SZS output end Proof %------------------------------------------------------------------------------