%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SWV411+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n012.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 : Wed Jul 20 21:51:16 EDT 2022 % Result : Theorem 0.17s 0.39s % Output : Proof 0.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : SWV411+1 : TPTP v8.1.0. Released v3.3.0. % 0.10/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.32 % Computer : n012.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 600 % 0.12/0.32 % DateTime : Wed Jun 15 23:21:09 EDT 2022 % 0.12/0.32 % CPUTime : % 0.17/0.39 % SZS status Theorem % 0.17/0.39 (* PROOF-FOUND *) % 0.17/0.39 (* BEGIN-PROOF *) % 0.17/0.39 % SZS output start Proof % 0.17/0.39 1. (contains_slb T_0 T_1) (-. (contains_slb T_0 T_1)) ### Axiom % 0.17/0.39 2. (pair_in_list T_0 T_1 T_2) (-. (pair_in_list T_0 T_1 T_2)) ### Axiom % 0.17/0.39 3. (pair_in_list T_0 T_1 T_2) (-. (pair_in_list T_0 T_1 T_2)) ### Axiom % 0.17/0.39 4. (-. (pair_in_list (insert_slb T_0 (pair T_3 T_4)) T_1 T_2)) (pair_in_list T_0 T_1 T_2) ### Extension/test/not_ax23 2 3 % 0.17/0.39 5. (-. (Ex X1, (pair_in_list (insert_slb T_0 (pair T_3 T_4)) T_1 X1))) (pair_in_list T_0 T_1 T_2) ### NotExists 4 % 0.17/0.39 6. (Ex W, (pair_in_list T_0 T_1 W)) (-. (Ex X1, (pair_in_list (insert_slb T_0 (pair T_3 T_4)) T_1 X1))) ### Exists 5 % 0.17/0.39 7. ((contains_slb T_0 T_1) => (Ex W, (pair_in_list T_0 T_1 W))) (-. (Ex X1, (pair_in_list (insert_slb T_0 (pair T_3 T_4)) T_1 X1))) (contains_slb T_0 T_1) ### Imply 1 6 % 0.17/0.39 8. (All V, ((contains_slb T_0 V) => (Ex W, (pair_in_list T_0 V W)))) (contains_slb T_0 T_1) (-. (Ex X1, (pair_in_list (insert_slb T_0 (pair T_3 T_4)) T_1 X1))) ### All 7 % 0.17/0.39 9. (T_3 = T_1) (T_3 != T_1) ### Axiom % 0.17/0.39 10. (T_4 != T_4) ### Refl(=) % 0.17/0.39 11. (-. (pair_in_list (insert_slb T_0 (pair T_3 T_4)) T_1 T_4)) (T_3 = T_1) ### Extension/test/not_ax23 9 10 % 0.17/0.39 12. (-. (Ex X1, (pair_in_list (insert_slb T_0 (pair T_3 T_4)) T_1 X1))) (T_3 = T_1) ### NotExists 11 % 0.17/0.39 13. (contains_slb (insert_slb T_0 (pair T_3 T_4)) T_1) (-. (Ex X1, (pair_in_list (insert_slb T_0 (pair T_3 T_4)) T_1 X1))) (All V, ((contains_slb T_0 V) => (Ex W, (pair_in_list T_0 V W)))) ### Extension/test/ax21 8 12 % 0.17/0.39 14. (-. ((contains_slb (insert_slb T_0 (pair T_3 T_4)) T_1) => (Ex X1, (pair_in_list (insert_slb T_0 (pair T_3 T_4)) T_1 X1)))) (All V, ((contains_slb T_0 V) => (Ex W, (pair_in_list T_0 V W)))) ### NotImply 13 % 0.17/0.39 15. (-. (All Z, ((contains_slb (insert_slb T_0 (pair T_3 Z)) T_1) => (Ex X1, (pair_in_list (insert_slb T_0 (pair T_3 Z)) T_1 X1))))) (All V, ((contains_slb T_0 V) => (Ex W, (pair_in_list T_0 V W)))) ### NotAllEx 14 % 0.17/0.39 16. (-. (All Y, (All Z, ((contains_slb (insert_slb T_0 (pair Y Z)) T_1) => (Ex X1, (pair_in_list (insert_slb T_0 (pair Y Z)) T_1 X1)))))) (All V, ((contains_slb T_0 V) => (Ex W, (pair_in_list T_0 V W)))) ### NotAllEx 15 % 0.17/0.39 17. (-. (All X, (All Y, (All Z, ((contains_slb (insert_slb T_0 (pair Y Z)) X) => (Ex X1, (pair_in_list (insert_slb T_0 (pair Y Z)) X X1))))))) (All V, ((contains_slb T_0 V) => (Ex W, (pair_in_list T_0 V W)))) ### NotAllEx 16 % 0.17/0.39 18. (-. ((All V, ((contains_slb T_0 V) => (Ex W, (pair_in_list T_0 V W)))) => (All X, (All Y, (All Z, ((contains_slb (insert_slb T_0 (pair Y Z)) X) => (Ex X1, (pair_in_list (insert_slb T_0 (pair Y Z)) X X1)))))))) ### NotImply 17 % 0.17/0.39 19. (-. (All U, ((All V, ((contains_slb U V) => (Ex W, (pair_in_list U V W)))) => (All X, (All Y, (All Z, ((contains_slb (insert_slb U (pair Y Z)) X) => (Ex X1, (pair_in_list (insert_slb U (pair Y Z)) X X1))))))))) ### NotAllEx 18 % 0.17/0.39 % SZS output end Proof % 0.17/0.39 (* END-PROOF *) %------------------------------------------------------------------------------