%------------------------------------------------------------------------------ % File : G4Plus---1.5.2 % Problem : SET067+1 : TPTP v9.2.1. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : g4plus.sh /export/starexec/sandbox2/benchmark/theBenchmark.p 300 % Computer : n016.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 07:10:13 PM UTC 2026 % Result : Theorem 1.15s 2.40s % Output : Proof 1.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET067+1 : TPTP v9.2.1. Bugfixed v5.4.0. % 0.12/0.12 % Command : g4plus.sh /export/starexec/sandbox2/benchmark/theBenchmark.p 300 % 0.15/0.33 % Computer : n016.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 13:37:07 EDT 2026 % 0.15/0.34 % CPUTime : % 1.15/2.40 % SZS status Theorem % 1.15/2.40 % SZS output start Proof % 1.15/2.40 % 1.15/2.40 =============================================================== % 1.15/2.40 TPTP Problem: pair_contains_other (conjecture with 43 axiom(s)) % 1.15/2.40 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] % 1.15/2.40 =============================================================== % 1.15/2.40 % 1.15/2.40 Combined formula: 43 axiom(s) => conjecture % 1.15/2.40 % 1.15/2.40 % Equality/functions detected -> nanoCoP oracle mode % 1.15/2.40 nanoCoP : % 1.15/2.40 % 928,269 inferences, 0.572 CPU in 0.572 seconds (100% CPU, 1623973 Lips) % 1.15/2.40 % 1.15/2.40 % nanoCoP proof (equality/functions) % 1.15/2.40 % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula). % 1.15/2.40 % 1.15/2.40 % SZS output end Proof %------------------------------------------------------------------------------