%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET886+1 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n017.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 05:44:48 EDT 2022 % Result : Theorem 6.35s 6.62s % Output : Proof 6.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET886+1 : TPTP v8.1.0. Released v3.2.0. % 0.12/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n017.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Mon Jul 11 08:06:18 EDT 2022 % 0.12/0.34 % CPUTime : % 6.35/6.62 % SZS status Theorem % 6.35/6.62 (* PROOF-FOUND *) % 6.35/6.62 (* BEGIN-PROOF *) % 6.35/6.62 % SZS output start Proof % 6.35/6.62 1. (subset (unordered_pair T_0 T_1) (singleton T_2)) (-. (subset (unordered_pair T_0 T_1) (singleton T_2))) ### Axiom % 6.35/6.62 2. (T_0 != T_2) (T_0 = T_2) ### Axiom % 6.35/6.62 3. ((subset (unordered_pair T_0 T_1) (singleton T_2)) => (T_0 = T_2)) (T_0 != T_2) (subset (unordered_pair T_0 T_1) (singleton T_2)) ### Imply 1 2 % 6.35/6.62 4. (All C, ((subset (unordered_pair T_0 T_1) (singleton C)) => (T_0 = C))) (subset (unordered_pair T_0 T_1) (singleton T_2)) (T_0 != T_2) ### All 3 % 6.35/6.62 5. (All B, (All C, ((subset (unordered_pair T_0 B) (singleton C)) => (T_0 = C)))) (T_0 != T_2) (subset (unordered_pair T_0 T_1) (singleton T_2)) ### All 4 % 6.35/6.62 6. (All A, (All B, (All C, ((subset (unordered_pair A B) (singleton C)) => (A = C))))) (subset (unordered_pair T_0 T_1) (singleton T_2)) (T_0 != T_2) ### All 5 % 6.35/6.62 7. ((unordered_pair T_1 T_0) = (unordered_pair T_0 T_1)) ((unordered_pair T_0 T_1) != (unordered_pair T_1 T_0)) ### Sym(=) % 6.35/6.62 8. ((singleton T_2) != (singleton T_2)) ### Refl(=) % 6.35/6.62 9. (-. (subset (unordered_pair T_1 T_0) (singleton T_2))) (subset (unordered_pair T_0 T_1) (singleton T_2)) ((unordered_pair T_1 T_0) = (unordered_pair T_0 T_1)) ### P-NotP 7 8 % 6.35/6.62 10. (T_1 != T_2) (T_1 = T_2) ### Axiom % 6.35/6.62 11. ((subset (unordered_pair T_1 T_0) (singleton T_2)) => (T_1 = T_2)) (T_1 != T_2) ((unordered_pair T_1 T_0) = (unordered_pair T_0 T_1)) (subset (unordered_pair T_0 T_1) (singleton T_2)) ### Imply 9 10 % 6.35/6.62 12. (All C, ((subset (unordered_pair T_1 T_0) (singleton C)) => (T_1 = C))) (subset (unordered_pair T_0 T_1) (singleton T_2)) ((unordered_pair T_1 T_0) = (unordered_pair T_0 T_1)) (T_1 != T_2) ### All 11 % 6.35/6.62 13. (All B, (All C, ((subset (unordered_pair T_1 B) (singleton C)) => (T_1 = C)))) (T_1 != T_2) ((unordered_pair T_1 T_0) = (unordered_pair T_0 T_1)) (subset (unordered_pair T_0 T_1) (singleton T_2)) ### All 12 % 6.35/6.62 14. (All A, (All B, (All C, ((subset (unordered_pair A B) (singleton C)) => (A = C))))) (subset (unordered_pair T_0 T_1) (singleton T_2)) ((unordered_pair T_1 T_0) = (unordered_pair T_0 T_1)) (T_1 != T_2) ### All 13 % 6.35/6.62 15. (All B, ((unordered_pair T_1 B) = (unordered_pair B T_1))) (T_1 != T_2) (subset (unordered_pair T_0 T_1) (singleton T_2)) (All A, (All B, (All C, ((subset (unordered_pair A B) (singleton C)) => (A = C))))) ### All 14 % 6.35/6.62 16. ((unordered_pair T_0 T_1) != (unordered_pair T_2 T_2)) (All B, ((unordered_pair T_1 B) = (unordered_pair B T_1))) (subset (unordered_pair T_0 T_1) (singleton T_2)) (All A, (All B, (All C, ((subset (unordered_pair A B) (singleton C)) => (A = C))))) ### NotEqual 6 15 % 6.35/6.62 17. ((singleton T_2) != (singleton T_2)) ### Refl(=) % 6.35/6.62 18. ((singleton T_2) != (singleton T_2)) ### Refl(=) % 6.35/6.62 19. ((unordered_pair T_0 T_1) != (singleton T_2)) ((unordered_pair T_2 T_2) = (singleton T_2)) (All A, (All B, (All C, ((subset (unordered_pair A B) (singleton C)) => (A = C))))) (subset (unordered_pair T_0 T_1) (singleton T_2)) (All B, ((unordered_pair T_1 B) = (unordered_pair B T_1))) ### TransEq 16 17 18 % 6.35/6.62 20. (All A, (All B, ((unordered_pair A B) = (unordered_pair B A)))) (subset (unordered_pair T_0 T_1) (singleton T_2)) (All A, (All B, (All C, ((subset (unordered_pair A B) (singleton C)) => (A = C))))) ((unordered_pair T_2 T_2) = (singleton T_2)) ((unordered_pair T_0 T_1) != (singleton T_2)) ### All 19 % 6.35/6.62 21. (All A, ((unordered_pair A A) = (singleton A))) ((unordered_pair T_0 T_1) != (singleton T_2)) (All A, (All B, (All C, ((subset (unordered_pair A B) (singleton C)) => (A = C))))) (subset (unordered_pair T_0 T_1) (singleton T_2)) (All A, (All B, ((unordered_pair A B) = (unordered_pair B A)))) ### All 20 % 6.35/6.62 22. (-. ((subset (unordered_pair T_0 T_1) (singleton T_2)) => ((unordered_pair T_0 T_1) = (singleton T_2)))) (All A, (All B, ((unordered_pair A B) = (unordered_pair B A)))) (All A, (All B, (All C, ((subset (unordered_pair A B) (singleton C)) => (A = C))))) (All A, ((unordered_pair A A) = (singleton A))) ### NotImply 21 % 6.35/6.62 23. (-. (All C, ((subset (unordered_pair T_0 T_1) (singleton C)) => ((unordered_pair T_0 T_1) = (singleton C))))) (All A, ((unordered_pair A A) = (singleton A))) (All A, (All B, (All C, ((subset (unordered_pair A B) (singleton C)) => (A = C))))) (All A, (All B, ((unordered_pair A B) = (unordered_pair B A)))) ### NotAllEx 22 % 6.35/6.62 24. (-. (All B, (All C, ((subset (unordered_pair T_0 B) (singleton C)) => ((unordered_pair T_0 B) = (singleton C)))))) (All A, (All B, ((unordered_pair A B) = (unordered_pair B A)))) (All A, (All B, (All C, ((subset (unordered_pair A B) (singleton C)) => (A = C))))) (All A, ((unordered_pair A A) = (singleton A))) ### NotAllEx 23 % 6.35/6.62 25. (-. (All A, (All B, (All C, ((subset (unordered_pair A B) (singleton C)) => ((unordered_pair A B) = (singleton C))))))) (All A, ((unordered_pair A A) = (singleton A))) (All A, (All B, (All C, ((subset (unordered_pair A B) (singleton C)) => (A = C))))) (All A, (All B, ((unordered_pair A B) = (unordered_pair B A)))) ### NotAllEx 24 % 6.35/6.62 % SZS output end Proof % 6.35/6.62 (* END-PROOF *) %------------------------------------------------------------------------------