LTS Termination Proof

by AProVE

Input

Integer Transition System

Proof

1 Switch to Cooperation Termination Proof

We consider the following cutpoint-transitions:
l5 l5 l5: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l22 l22 l22: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l48 l48 l48: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l18 l18 l18: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l17 l17 l17: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l52 l52 l52: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l35 l35 l35: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l21 l21 l21: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l6 l6 l6: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l34 l34 l34: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l46 l46 l46: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l53 l53 l53: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l19 l19 l19: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l33 l33 l33: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l47 l47 l47: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l40 l40 l40: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l58 l58 l58: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l37 l37 l37: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l11 l11 l11: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l49 l49 l49: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l32 l32 l32: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l63 l63 l63: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l28 l28 l28: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l42 l42 l42: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l2 l2 l2: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l23 l23 l23: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l4 l4 l4: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l44 l44 l44: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l51 l51 l51: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l16 l16 l16: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l65 l65 l65: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l30 l30 l30: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l56 l56 l56: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l39 l39 l39: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l43 l43 l43: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l60 l60 l60: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l13 l13 l13: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l31 l31 l31: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l9 l9 l9: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l14 l14 l14: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l25 l25 l25: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l55 l55 l55: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l8 l8 l8: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l27 l27 l27: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l0 l0 l0: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l12 l12 l12: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l61 l61 l61: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l26 l26 l26: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l54 l54 l54: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l7 l7 l7: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l24 l24 l24: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l3 l3 l3: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l41 l41 l41: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l20 l20 l20: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l62 l62 l62: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l45 l45 l45: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l59 l59 l59: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l66 l66 l66: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l57 l57 l57: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l38 l38 l38: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l10 l10 l10: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l36 l36 l36: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l29 l29 l29: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l15 l15 l15: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l64 l64 l64: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
l50 l50 l50: x1 = x1x2 = x2x3 = x3x4 = x4x5 = x5x6 = x6x7 = x7x8 = x8x9 = x9x10 = x10x11 = x11x12 = x12x13 = x13x14 = x14x15 = x15x16 = x16x17 = x17x18 = x18x19 = x19x20 = x20x21 = x21x22 = x22x23 = x23x24 = x24x25 = x25x26 = x26x27 = x27x28 = x28x29 = x29x30 = x30x31 = x31x32 = x32x33 = x33x34 = x34x35 = x35x36 = x36x37 = x37x38 = x38x39 = x39x40 = x40x41 = x41x42 = x42x43 = x43x44 = x44x45 = x45x46 = x46x47 = x47x48 = x48x49 = x49x50 = x50x51 = x51x52 = x52x53 = x53x54 = x54x55 = x55x56 = x56x57 = x57x58 = x58x59 = x59x60 = x60x61 = x61x62 = x62x63 = x63x64 = x64x65 = x65x66 = x66x67 = x67x68 = x68x69 = x69x70 = x70
and for every transition t, a duplicate t is considered.

2 SCC Decomposition

We consider subproblems for each of the 3 SCC(s) of the program graph.

2.1 SCC Subproblem 1/3

Here we consider the SCC { l38, l65 }.

2.1.1 Transition Removal

We remove transition 69 using the following ranking functions, which are bounded by 0.

l38: −1 − x48 + x52
l65: −1 − x48 + x52

2.1.2 Transition Removal

We remove transition 70 using the following ranking functions, which are bounded by 0.

l65: 0
l38: −1

2.1.3 Trivial Cooperation Program

There are no more "sharp" transitions in the cooperation program. Hence the cooperation termination is proved.

2.2 SCC Subproblem 2/3

Here we consider the SCC { l44, l41, l46, l49, l48, l45, l47 }.

2.2.1 Transition Removal

We remove transition 45 using the following ranking functions, which are bounded by 0.

l41: 1 + 3⋅x33 + x50
l45: −1 + 3⋅x33 + x50
l44: 1 + 3⋅x33 + x50
l49: 1 + 3⋅x34 + x51
l48: 1 + 3⋅x34 + x51
l47: 1 + 3⋅x34 + x51
l46: −1 + 3⋅x33 + x50

2.2.2 Transition Removal

We remove transitions 51, 50, 49, 48, 47, 46 using the following ranking functions, which are bounded by 0.

l44: 0
l41: −1
l49: 1
l48: 2
l47: 3
l46: 4
l45: 5

2.2.3 Trivial Cooperation Program

There are no more "sharp" transitions in the cooperation program. Hence the cooperation termination is proved.

2.3 SCC Subproblem 3/3

Here we consider the SCC { l5, l4, l7, l6, l8, l3, l0, l2 }.

2.3.1 Transition Removal

We remove transition 2 using the following ranking functions, which are bounded by 0.

l0: x36
l3: −1 + x36
l2: x36
l8: x37
l7: x37
l6: x37
l5: x37
l4: −1 + x36

2.3.2 Transition Removal

We remove transitions 9, 8, 7, 6, 5, 4, 3 using the following ranking functions, which are bounded by 0.

l2: 0
l0: −1
l8: 1
l7: 2
l6: 3
l5: 4
l4: 5
l3: 6

2.3.3 Trivial Cooperation Program

There are no more "sharp" transitions in the cooperation program. Hence the cooperation termination is proved.

Tool configuration

AProVE