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7 | 7 | % Full summary: pmGenerator --transform data/w3.txt -f -n -t . -j 1
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8 | 8 | % Step counting: pmGenerator --transform data/w3.txt -f -n -t . -p -2 -d
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9 | 9 | % pmGenerator --transform data/w3.txt -f -n -t CpCqp,CCpCqrCCpqCpr,CCNpNqCqp,Cpp,CCpqCCqrCpr,CCNppp,CpCNpq -p -2 -d
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10 |
| -% Compact (1970 bytes): pmGenerator --transform data/w3.txt -f -n -t CpCqp,CCpCqrCCpqCpr,CCNpNqCqp,Cpp,CCpqCCqrCpr,CCNppp,CpCNpq -j -1 -s CCCpCCqrCsrtCCCqrCsrt,CCCNpqCCrCCNsCCNtuCrvCCvsCtsqCCqwCpw,CCCCNpCCNqrCCsCCNtCCNuvCswCCwtCutxCCxpCqpyCCyzCaz,CCCpCqrsCCqrs,CCCpqrCqr,CCCNpqrCpr,CCNppCqp,CCCCNpqCrqpCsp,CpCCpqCrq,CCCNCNpqrsCps,CpCqCrp,CCCCCpqrCsrtCqt,CNNCpqCrCpq,CCNCCpCqpNrsCrs,CCpNpCqNp,CCpCqNpCrCqNp,CCCpqrCNpr,CCNpqCNCrpq,CCpqCNCprq,CCNpqCNCrCspq,CCpqCCNppq,CCNCpqrCCrqCpq,CCpCpqCpq,CCCCpqCrqsCps,CCpqCNCprq,CCpCqrCqCpr |
| 10 | +% Compact (1951 bytes): pmGenerator --transform data/w3.txt -f -n -t CpCqp,CCpCqrCCpqCpr,CCNpNqCqp,Cpp,CCpqCCqrCpr,CCNppp,CpCNpq -j -1 -s CCCpCCqrCsrtCCCqrCsrt,CCCNpqCCrCCNsCCNtuCrvCCvsCtsqCCqwCpw,CCCCNpCCNqrCCsCCNtCCNuvCswCCwtCutxCCxpCqpyCCyzCaz,CCCpCqrsCCqrs,CCCpqrCqr,CCCNpqrCpr,CCNppCqp,CCCCNpqCrqpCsp,CpCCpqCrq,CCCNCNpqrsCps,CpCqCrp,CCCCCpqrCsrtCqt,CNNCpqCrCpq,CCNCCpCqpNrsCrs,CCpNpCqNp,CCpCqNpCrCqNp,CCCpqrCNpr,CCNpqCNCrpq,CCpqCNCprq,CCNpqCNCrCspq,CCpqCCNppq,CCNCpqrCCrqCpq,CCpCpqCpq,CCCCpqCrqsCps,CCpCqrCqCpr |
11 | 11 | % Concrete (296514 bytes): pmGenerator --transform data/w3.txt -f -n -t CpCqp,CCpCqrCCpqCpr,CCNpNqCqp,Cpp,CCpqCCqrCpr,CCNppp,CpCNpq -j -1 -e
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12 | 12 |
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13 | 13 | CpCCNqCCNrsCptCCtqCrq = 1
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65 | 65 | [41] CCNppp = D[33]DDD[0]D[18]DDD1[6]1[16][36]1
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66 | 66 |
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67 | 67 | [42] CCNpqCNCrpq = D[7]D[0]D[18]DD[7]D[0]D[33]D[18][16]D[18][40]
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68 |
| -[43] CNCpqCrCsp = D[52][27] |
69 |
| -[44] CCNpqCNCrCspq = D[7]D[0]D[18]DD[7]D[0]DD[7][34][20]D[18]D[13][40] |
70 |
| -[45] CCpCpqCrCpq = D[0][43] |
71 |
| -[46] CCpqCCNppq = D[7]D[0]D[39]D[0]DD[23]D[17]D[18][36]1 |
72 |
| -[47] CCNCpqrCCrqCpq = DD[46]DD1[21]DDD[3]D[3]D1[7][6][13]D[44]1 |
73 |
| -[48] CCpCpqCpq = DD[45][45]1 |
74 |
| -[49] CCCCpqCrqsCps = DD[13]D1D[6]D[3]DD[15]11D[46]D[28][48] |
75 |
| -[50] CCpqCCNqpq = D[0]D[49][46] |
76 |
| -[51] CpCCpqq = D[49][48] |
77 |
| -[52] CCpqCNCprq = D[7]D[0]DDD[0]D[28]D[17]D[19]D[14]D[19][32]DDD[13]D1DDD[15]D[3]D[3]D1[11]1[0]1DD[3][11][37]1 |
| 68 | +[43] CCpqCNCprq = D[7]D[0]DDD[0]D[28]D[17]D[19]D[14]D[19][32]DDD[13]D1DDD[15]D[3]D[3]D1[11]1[0]1DD[3][11][37]1 |
| 69 | +[44] CNCpqCrCsp = D[43][27] |
| 70 | +[45] CCNpqCNCrCspq = D[7]D[0]D[18]DD[7]D[0]DD[7][34][20]D[18]D[13][40] |
| 71 | +[46] CCpCpqCrCpq = D[0][44] |
| 72 | +[47] CCpqCCNppq = D[7]D[0]D[39]D[0]DD[23]D[17]D[18][36]1 |
| 73 | +[48] CCNCpqrCCrqCpq = DD[47]DD1[21]DDD[3]D[3]D1[7][6][13]D[45]1 |
| 74 | +[49] CCpCpqCpq = DD[46][46]1 |
| 75 | +[50] CCCCpqCrqsCps = DD[13]D1D[6]D[3]DD[15]11D[47]D[28][49] |
| 76 | +[51] CCpqCCNqpq = D[0]D[50][47] |
| 77 | +[52] CpCCpqq = D[50][49] |
78 | 78 |
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79 | 79 | % Axiom 1 by Łukasiewicz (CCpqCCqrCpr), i.e. (0→1)→((1→2)→(0→2)) ; 16469 steps
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80 |
| -[53] CCpqCCqrCpr = DDD1[52]D[26]D[46][51][47] |
| 80 | +[53] CCpqCCqrCpr = DDD1[43]D[26]D[47][52][48] |
81 | 81 |
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82 | 82 | % Axiom 3 for Frege by Łukasiewicz (CCNpNqCqp), i.e. (¬0→¬1)→(1→0) ; 23321 steps
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83 |
| -[54] CCNpNqCqp = DD[7][37]DD[48]D[0]D[42][43]DD[50]D[18]D[19][33]D[42]D[48]DD[7]D[0]D[25][38][44] |
| 83 | +[54] CCNpNqCqp = DD[7][37]DD[49]D[0]D[42][44]DD[51]D[18]D[19][33]D[42]D[49]DD[7]D[0]D[25][38][45] |
84 | 84 |
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85 | 85 | [55] CCCCpqCrqsCCrps = D[53][53]
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86 |
| -[56] CCpCqrCqCpr = D[55]D[53][51] |
| 86 | +[56] CCpCqrCqCpr = D[55]D[53][52] |
87 | 87 |
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88 | 88 | % Axiom 2 by Frege (CCpCqrCCpqCpr), i.e. (0→(1→2))→((0→1)→(0→2)) ; 254925 steps
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89 |
| -[57] CCpCqrCCpqCpr = D[56]D[55]D[47]DD[56]D[39][50]D[56]D[55][39] |
| 89 | +[57] CCpCqrCCpqCpr = D[56]D[55]D[48]DD[56]D[39][51]D[56]D[55][39] |
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