Why3 Proof Results for Project "german_pfs_certif"
Theory "german_pfs_certif.German_pfs_initialisation": fully verified in 32.27 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
initialisation | 17.00 | 13.25 | 0.10 | 0.04 | 1.81 | 0.04 | 0.03 |
Theory "german_pfs_certif.German_pfs_property": fully verified in 2.84 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
property | 0.20 | 0.05 | 0.06 | 0.05 | 2.42 | 0.05 | 0.01 |
Theory "german_pfs_certif.German_pfs_hint_1": fully verified in 0.67 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_1 | 0.07 | 0.08 | 0.04 | Timeout (5s) | 0.45 | 0.02 | 0.01 |
Theory "german_pfs_certif.German_pfs_hint_2": fully verified in 1.20 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_2 | 0.26 | 0.13 | 0.53 | 0.23 | Timeout (5s) | 0.03 | 0.02 |
Theory "german_pfs_certif.German_pfs_hint_3": fully verified in 3.83 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_3 | 0.30 | 0.22 | 0.79 | 0.26 | Timeout (5s) | 2.25 | 0.01 |
Theory "german_pfs_certif.German_pfs_hint_4": fully verified in 1.60 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_4 | 0.28 | 0.18 | 0.82 | 0.26 | Timeout (5s) | 0.04 | 0.02 |
Theory "german_pfs_certif.German_pfs_hint_5": fully verified in 2.07 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_5 | 0.31 | 0.23 | 1.22 | 0.27 | Timeout (5s) | 0.03 | 0.01 |
Theory "german_pfs_certif.German_pfs_hint_6": fully verified in 1.71 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_6 | 0.32 | 0.18 | 0.88 | 0.27 | Timeout (5s) | 0.05 | 0.01 |
Theory "german_pfs_certif.German_pfs_hint_7": fully verified in 2.19 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_7 | 0.27 | 0.25 | 1.32 | 0.29 | Timeout (5s) | 0.04 | 0.02 |
Theory "german_pfs_certif.German_pfs_hint_8": fully verified in 1.17 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_8 | 0.18 | 0.21 | 0.44 | 0.23 | Timeout (5s) | 0.10 | 0.01 |
Theory "german_pfs_certif.German_pfs_hint_9": fully verified in 3.91 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_9 | 0.45 | 0.23 | 2.89 | 0.33 | Timeout (5s) | 1.55 | 0.01 |
Theory "german_pfs_certif.German_pfs_hint_10": fully verified in 1.06 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_10 | 0.44 | 0.23 | Timeout (5s) | 0.37 | Timeout (5s) | 0.72 | 0.02 |
Theory "german_pfs_certif.German_pfs_hint_11": fully verified in 2.30 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_11 | 0.38 | 0.24 | 1.37 | 0.30 | Timeout (5s) | 1.20 | 0.01 |
Theory "german_pfs_certif.German_pfs_hint_12": fully verified in 0.90 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_12 | 0.39 | 0.23 | Timeout (5s) | 0.27 | Timeout (5s) | 2.03 | 0.01 |
Theory "german_pfs_certif.German_pfs_hint_13": fully verified in 1.63 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_13 | 0.48 | 0.27 | 0.58 | 0.29 | Timeout (5s) | 1.63 | 0.01 |
Theory "german_pfs_certif.German_pfs_hint_14": fully verified in 1.35 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_14 | 0.41 | 0.22 | Timeout (5s) | 0.29 | Timeout (5s) | 0.42 | 0.01 |
Theory "german_pfs_certif.German_pfs_hint_15": fully verified in 2.45 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_15 | 0.34 | 0.21 | 1.57 | 0.31 | Timeout (5s) | 0.63 | 0.02 |
Theory "german_pfs_certif.German_pfs_hint_16": fully verified in 0.96 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_16 | 0.30 | 0.22 | Timeout (5s) | 0.35 | Timeout (5s) | 0.08 | 0.01 |
Theory "german_pfs_certif.German_pfs_hint_17": fully verified in 0.73 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_17 | 0.09 | 0.14 | 0.17 | 0.23 | Timeout (5s) | 0.08 | 0.02 |
Theory "german_pfs_certif.German_pfs_hint_18": fully verified in 1.58 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_18 | 0.11 | 0.10 | 0.16 | 0.20 | 0.85 | 0.15 | 0.01 |
Theory "german_pfs_certif.German_pfs_hint_19": fully verified in 0.57 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_19 | 0.10 | 0.10 | 0.11 | 0.18 | Timeout (5s) | 0.06 | 0.02 |
Theory "german_pfs_certif.German_pfs_hint_20": fully verified in 5.51 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_20 | 0.13 | 0.09 | 0.14 | 0.12 | 4.94 | 0.08 | 0.01 |
Theory "german_pfs_certif.German_pfs_hint_21": fully verified in 1.12 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_21 | 0.07 | 0.08 | 0.06 | 0.18 | 0.69 | 0.03 | 0.01 |
Theory "german_pfs_certif.German_pfs_hint_22": fully verified in 1.48 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_22 | 0.18 | 0.17 | 0.49 | 0.17 | Timeout (5s) | 0.46 | 0.01 |
Theory "german_pfs_certif.German_pfs_hint_23": fully verified in 1.03 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_23 | 0.09 | 0.06 | 0.05 | 0.12 | 0.67 | 0.03 | 0.01 |
Theory "german_pfs_certif.German_pfs_hint_24": fully verified in 2.11 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_24 | 0.22 | 0.18 | 0.53 | 0.14 | Timeout (5s) | 1.03 | 0.01 |
Theory "german_pfs_certif.German_pfs_hint_25": fully verified in 1.49 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_25 | 0.18 | 0.17 | 0.88 | 0.14 | Timeout (5s) | 0.11 | 0.01 |
Theory "german_pfs_certif.German_pfs_hint_26": fully verified in 1.27 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_26 | 0.15 | 0.11 | 0.82 | 0.15 | Timeout (5s) | 0.03 | 0.01 |
Theory "german_pfs_certif.German_pfs_hint_27": fully verified in 1.35 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_27 | 0.16 | 0.12 | 0.85 | 0.15 | Timeout (5s) | 0.05 | 0.02 |
Theory "german_pfs_certif.German_pfs_hint_28": fully verified in 1.36 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_28 | 0.15 | 0.17 | 0.85 | 0.15 | Timeout (5s) | 0.03 | 0.01 |
Theory "german_pfs_certif.German_pfs_hint_29": fully verified in 1.55 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_29 | 0.25 | 0.14 | 0.91 | 0.19 | Timeout (5s) | 0.05 | 0.01 |
Theory "german_pfs_certif.German_pfs_hint_30": fully verified in 1.82 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_30 | 0.24 | 0.13 | 1.25 | 0.16 | Timeout (5s) | 0.03 | 0.01 |
Theory "german_pfs_certif.German_pfs_hint_31": fully verified in 0.75 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_31 | 0.14 | 0.11 | 0.32 | 0.14 | Timeout (5s) | 0.03 | 0.01 |
Theory "german_pfs_certif.German_pfs_hint_32": fully verified in 0.70 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_32 | 0.12 | 0.10 | 0.31 | 0.13 | Timeout (5s) | 0.03 | 0.01 |
Theory "german_pfs_certif.German_pfs_hint_33": fully verified in 4.63 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_33 | 0.34 | 0.11 | 3.92 | 0.25 | Timeout (5s) | 3.43 | 0.01 |
Theory "german_pfs_certif.German_pfs_hint_34": fully verified in 3.38 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_34 | 0.36 | 0.16 | 2.58 | 0.27 | Timeout (5s) | 1.85 | 0.01 |
Theory "german_pfs_certif.German_pfs_hint_35": fully verified in 0.85 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_35 | 0.36 | 0.20 | Timeout (5s) | 0.28 | Timeout (5s) | 0.99 | 0.01 |
Theory "german_pfs_certif.German_pfs_hint_36": fully verified in 1.18 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_36 | 0.36 | 0.17 | Timeout (5s) | 0.25 | Timeout (5s) | 0.38 | 0.02 |
Theory "german_pfs_certif.German_pfs_hint_37": fully verified in 0.74 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_37 | 0.32 | 0.15 | Timeout (5s) | 0.21 | Timeout (5s) | 0.05 | 0.01 |
Theory "german_pfs_certif.German_pfs_hint_38": fully verified in 6.13 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_38 | 0.33 | 0.16 | 4.95 | 0.29 | Timeout (5s) | 0.39 | 0.01 |
Theory "german_pfs_certif.German_pfs_hint_39": fully verified in 3.77 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_39 | 0.12 | 0.12 | 0.22 | 0.17 | Timeout (5s) | 3.12 | 0.02 |
Theory "german_pfs_certif.German_pfs_hint_40": fully verified in 0.54 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_40 | 0.09 | 0.11 | 0.15 | 0.18 | Timeout (5s) | 4.90 | 0.01 |
Theory "german_pfs_certif.German_pfs_hint_41": fully verified in 0.43 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_41 | 0.11 | 3.01 | 0.18 | 0.30 | Timeout (5s) | 2.86 | 0.02 |
Theory "german_pfs_certif.German_pfs_hint_42": fully verified in 0.47 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_42 | 0.09 | 0.63 | 0.63 | 0.36 | Timeout (5s) | 5.00 | 0.02 |
Theory "german_pfs_certif.German_pfs_hint_43": fully verified in 1.18 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_43 | 0.08 | 0.17 | 0.18 | 0.31 | Timeout (5s) | 0.43 | 0.01 |
Theory "german_pfs_certif.German_pfs_hint_44": fully verified in 0.35 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_44 | 0.10 | 1.48 | 0.17 | Timeout (5s) | Timeout (5s) | 0.07 | 0.01 |
Theory "german_pfs_certif.German_pfs_hint_45": fully verified in 7.99 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_45 | 0.08 | 0.54 | Timeout (5s) | 4.86 | 3.02 | 5.05 | 0.03 |
Theory "german_pfs_certif.German_pfs_hint_46": fully verified in 3.32 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_46 | 0.11 | 2.44 | 0.18 | 1.00 | 2.01 | 5.01 | 0.02 |
Theory "german_pfs_certif.German_pfs_hint_47": fully verified in 0.38 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_47 | 0.12 | 2.52 | 0.25 | Timeout (5s) | Timeout (30s) | 5.13 | 0.01 |
Theory "german_pfs_certif.German_pfs_hint_48": fully verified in 2.84 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_48 | 0.07 | 0.49 | Timeout (30s) | Timeout (30s) | 2.75 | 5.06 | 0.02 |
Theory "german_pfs_certif.German_pfs_hint_49": fully verified in 3.42 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_49 | 0.07 | 1.82 | 0.15 | 1.69 | 1.13 | 0.37 | 0.01 |
Theory "german_pfs_certif.German_pfs_hint_50": fully verified in 2.56 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_50 | 0.06 | 0.53 | Timeout (30s) | Timeout (30s) | 2.48 | 3.71 | 0.02 |
Theory "german_pfs_certif.German_pfs_hint_51": fully verified in 4.93 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
hint_51 | 0.09 | 1.98 | 0.24 | Timeout (5s) | 4.59 | 5.11 | 0.01 |
Theory "german_pfs_certif.German_pfs_preservation": fully verified in 0.80 s
Obligations | Alt-Ergo (0.96) | CVC3 (2.4.1) | CVC4 (1.3) | Eprover (1.8-001) | Spass (3.5) | Yices (1.0.40) | Z3 (4.3.2) |
preservation | 0.30 | 0.06 | 0.04 | 0.07 | 0.28 | 0.05 | 0.00 |