%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET764+4 : TPTP v8.1.0. Bugfixed v2.2.1. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n011.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 : 600s % DateTime : Tue Jul 19 05:43:49 EDT 2022 % Result : Theorem 0.11s 0.37s % Output : Proof 0.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : SET764+4 : TPTP v8.1.0. Bugfixed v2.2.1. % 0.10/0.11 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.11/0.33 % Computer : n011.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 600 % 0.11/0.33 % DateTime : Mon Jul 11 02:46:42 EDT 2022 % 0.11/0.33 % CPUTime : % 0.11/0.37 % SZS status Theorem % 0.11/0.37 (* PROOF-FOUND *) % 0.11/0.37 (* BEGIN-PROOF *) % 0.11/0.37 % SZS output start Proof % 0.11/0.37 1. (member T_0 (empty_set)) (-. (member T_0 (empty_set))) ### Axiom % 0.11/0.37 2. (All X, (-. (member X (empty_set)))) (member T_0 (empty_set)) ### All 1 % 0.11/0.37 3. (member T_1 (inverse_image2 T_2 (empty_set))) (All X, (-. (member X (empty_set)))) ### Extension/test/inverse_image2 2 % 0.11/0.37 4. (-. (subset (inverse_image2 T_2 (empty_set)) (empty_set))) (All X, (-. (member X (empty_set)))) ### Extension/test/not_subset 3 % 0.11/0.37 5. (member T_3 (empty_set)) (-. (member T_3 (empty_set))) ### Axiom % 0.11/0.37 6. (All X, (-. (member X (empty_set)))) (member T_3 (empty_set)) ### All 5 % 0.11/0.37 7. (-. (subset (empty_set) (inverse_image2 T_2 (empty_set)))) (All X, (-. (member X (empty_set)))) ### Extension/test/not_subset 6 % 0.11/0.37 8. (-. (equal_set (inverse_image2 T_2 (empty_set)) (empty_set))) (All X, (-. (member X (empty_set)))) ### Extension/test/not_equal_set 4 7 % 0.11/0.37 9. (-. ((maps T_2 T_4 T_5) => (equal_set (inverse_image2 T_2 (empty_set)) (empty_set)))) (All X, (-. (member X (empty_set)))) ### NotImply 8 % 0.11/0.37 10. (-. (All B, ((maps T_2 T_4 B) => (equal_set (inverse_image2 T_2 (empty_set)) (empty_set))))) (All X, (-. (member X (empty_set)))) ### NotAllEx 9 % 0.11/0.37 11. (-. (All A, (All B, ((maps T_2 A B) => (equal_set (inverse_image2 T_2 (empty_set)) (empty_set)))))) (All X, (-. (member X (empty_set)))) ### NotAllEx 10 % 0.11/0.37 12. (-. (All F, (All A, (All B, ((maps F A B) => (equal_set (inverse_image2 F (empty_set)) (empty_set))))))) (All X, (-. (member X (empty_set)))) ### NotAllEx 11 % 0.11/0.37 % SZS output end Proof % 0.11/0.37 (* END-PROOF *) %------------------------------------------------------------------------------