WATCH: 0.00 CPU 0.01 WC This is MELIA, version 0.1.2 Input formulas: =============== ¬((f(4) ≤ 3) ⇐ ((f(7) ≤ 3) ∧ (∀ U:$int (f((U + 1)) ≤ f((U + 2)))))) With signature: =============== Signature with background types: {$int} background ranks: 4: $int $product: $int × $int → $int $true: $o $sum: $int × $int → $int $greatereq: $int × $int → $o 1: $int $divides: $int × $int → $o $lesseq: $int × $int → $o 2: $int $evaleq: $int × $int → $o $uminus: $int → $int $less: $int × $int → $o $difference: $int × $int → $int 7: $int 3: $int $greater: $int × $int → $o foreground types: {$i, $o, $tType} foreground ranks: $true: $o $false: $o f: $int → $int Proving ... WATCH: 5.10 CPU 3.03 WC WATCH: 8.48 CPU 6.03 WC WATCH: 11.54 CPU 9.04 WC WATCH: 14.72 CPU 12.05 WC WATCH: 17.94 CPU 15.06 WC WATCH: 21.04 CPU 18.07 WC WATCH: 24.21 CPU 21.08 WC WATCH: 27.26 CPU 24.09 WC WATCH: 30.34 CPU 27.10 WC WATCH: 33.40 CPU 30.11 WC WATCH: 36.46 CPU 33.13 WC WATCH: 39.52 CPU 36.14 WC WATCH: 42.61 CPU 39.15 WC WATCH: 45.68 CPU 42.17 WC WATCH: 48.76 CPU 45.18 WC WATCH: 51.80 CPU 48.19 WC WATCH: 54.88 CPU 51.20 WC WATCH: 57.92 CPU 54.21 WC WATCH: 60.99 CPU 57.22 WC WATCH: 64.05 CPU 60.23 WC WATCH: 67.17 CPU 63.24 WC WATCH: 70.22 CPU 66.25 WC WATCH: 73.27 CPU 69.26 WC WATCH: 76.32 CPU 72.27 WC WATCH: 79.37 CPU 75.28 WC WATCH: 82.43 CPU 78.29 WC WATCH: 85.49 CPU 81.30 WC WATCH: 88.54 CPU 84.31 WC WATCH: 91.65 CPU 87.32 WC WATCH: 94.70 CPU 90.33 WC WATCH: 97.76 CPU 93.34 WC WATCH: 100.80 CPU 96.35 WC WATCH: 103.85 CPU 99.36 WC WATCH: 106.91 CPU 102.37 WC WATCH: 109.96 CPU 105.38 WC WATCH: 113.02 CPU 108.39 WC WATCH: 116.07 CPU 111.40 WC WATCH: 119.13 CPU 114.41 WC WATCH: 122.20 CPU 117.42 WC WATCH: 125.26 CPU 120.43 WC WATCH: 128.33 CPU 123.44 WC WATCH: 131.38 CPU 126.45 WC WATCH: 134.44 CPU 129.46 WC WATCH: 137.56 CPU 132.47 WC WATCH: 140.61 CPU 135.48 WC WATCH: 143.67 CPU 138.49 WC WATCH: 146.81 CPU 141.50 WC WATCH: 149.92 CPU 144.51 WC WATCH: 153.06 CPU 147.52 WC WATCH: 156.12 CPU 150.53 WC WATCH: 159.26 CPU 153.54 WC WATCH: 162.35 CPU 156.55 WC WATCH: 165.42 CPU 159.56 WC WATCH: 168.47 CPU 162.57 WC WATCH: 171.53 CPU 165.58 WC WATCH: 174.66 CPU 168.59 WC WATCH: 177.71 CPU 171.60 WC WATCH: 180.81 CPU 174.61 WC WATCH: 183.93 CPU 177.61 WC WATCH: 186.98 CPU 180.62 WC WATCH: 190.05 CPU 183.63 WC WATCH: 193.11 CPU 186.64 WC WATCH: 196.17 CPU 189.65 WC WATCH: 199.22 CPU 192.66 WC WATCH: 202.43 CPU 195.67 WC WATCH: 205.57 CPU 198.69 WC WATCH: 208.76 CPU 201.70 WC WATCH: 211.86 CPU 204.71 WC WATCH: 214.92 CPU 207.72 WC WATCH: 218.16 CPU 210.73 WC WATCH: 221.24 CPU 213.74 WC WATCH: 224.32 CPU 216.76 WC WATCH: 227.40 CPU 219.77 WC WATCH: 230.51 CPU 222.79 WC WATCH: 233.60 CPU 225.79 WC WATCH: 236.68 CPU 228.80 WC WATCH: 239.78 CPU 231.81 WC WATCH: 242.84 CPU 234.82 WC WATCH: 245.92 CPU 237.83 WC WATCH: 249.00 CPU 240.85 WC WATCH: 252.15 CPU 243.86 WC WATCH: 255.23 CPU 246.88 WC WATCH: 258.41 CPU 249.89 WC WATCH: 261.46 CPU 252.91 WC WATCH: 264.53 CPU 255.93 WC WATCH: 267.57 CPU 258.94 WC WATCH: 270.74 CPU 261.96 WC WATCH: 273.80 CPU 264.97 WC WATCH: 276.87 CPU 267.99 WC WATCH: 279.96 CPU 271.00 WC WATCH: 283.05 CPU 274.01 WC WATCH: 286.16 CPU 277.02 WC WATCH: 289.24 CPU 280.04 WC WATCH: 292.39 CPU 283.06 WC WATCH: 295.49 CPU 286.07 WC WATCH: 298.59 CPU 289.08 WC WATCH: 301.65 CPU 292.09 WC FINAL WATCH: 301.65 CPU 292.20 WC