0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.15 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.wi3vdNxCLj 0.14/0.36 % Computer : n007.cluster.edu 0.14/0.36 % Model : x86_64 x86_64 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.36 % Memory : 8042.1875MB 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.36 % CPULimit : 960 0.14/0.36 % DateTime : Thu Jul 2 07:16:24 EDT 2020 0.14/0.36 % CPUTime : 0.14/0.36 % Running portfolio for 120 s 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.14/0.36 % Number of cores: 8 0.14/0.36 % Python version: Python 3.6.8 0.14/0.36 % Running in FO mode 61.66/62.11 % Running /export/starexec/sandbox2/solver/bin/fo/fo7.sh for 25 61.66/62.11 % Warning: 61.66/62.11 % To remain in the chosen logic fragment, unification with booleans has been disabled. 61.66/62.11 % 61.66/62.11 % Running /export/starexec/sandbox2/solver/bin/fo/fo8.sh for 20 61.66/62.11 % Warning: 61.66/62.11 % To remain in the chosen logic fragment, unification with booleans has been disabled. 61.66/62.11 % 61.66/62.11 % Running /export/starexec/sandbox2/solver/bin/fo/fo5.sh for 20 61.66/62.11 % Solved by: fo/fo5.sh 61.66/62.11 To remain in the chosen logic fragment, unification with booleans has been disabled. 61.66/62.11 % done 73747 iterations in 16.544s 61.66/62.11 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 61.66/62.11 % SZS output start Refutation 61.66/62.11 tff(ax1, axiom, 61.66/62.11 (((op1(e10,e10) = e13) | (op1(e10,e10) = e12) | (op1(e10,e10) = e11) | 61.66/62.11 (e10 = op1(e10,e10))) & 61.66/62.11 ((e12 = op1(e10,e11)) | (e13 = op1(e10,e11)) | (e11 = op1(e10,e11)) | 61.66/62.11 (e10 = op1(e10,e11))) & 61.66/62.11 ((e12 = op1(e10,e12)) | (op1(e10,e12) = e13) | (e11 = op1(e10,e12)) | 61.66/62.11 (op1(e10,e12) = e10)) & 61.66/62.11 ((op1(e10,e13) = e10) | (e11 = op1(e10,e13)) | (e13 = op1(e10,e13)) | 61.66/62.11 (op1(e10,e13) = e12)) & 61.66/62.11 ((e10 = op1(e11,e11)) | (op1(e11,e11) = e11) | (op1(e11,e11) = e13) | 61.66/62.11 (e12 = op1(e11,e11))) & 61.66/62.11 ((e10 = op1(e11,e12)) | (e11 = op1(e11,e12)) | (e13 = op1(e11,e12)) | 61.66/62.11 (e12 = op1(e11,e12))) & 61.66/62.11 ((op1(e12,e10) = e11) | (e13 = op1(e12,e10)) | (e12 = op1(e12,e10)) | 61.66/62.11 (op1(e12,e10) = e10)) & 61.66/62.11 ((op1(e12,e11) = e10) | (op1(e12,e11) = e11) | (e13 = op1(e12,e11)) | 61.66/62.11 (op1(e12,e11) = e12)) & 61.66/62.11 ((e13 = op1(e12,e12)) | (op1(e12,e12) = e12) | (op1(e12,e12) = e11) | 61.66/62.11 (op1(e12,e12) = e10)) & 61.66/62.11 ((op1(e12,e13) = e10) | (op1(e12,e13) = e13) | (op1(e12,e13) = e12) | 61.66/62.11 (e11 = op1(e12,e13))) & 61.66/62.11 ((e13 = op1(e13,e11)) | (op1(e13,e11) = e12) | (op1(e13,e11) = e11) | 61.66/62.11 (op1(e13,e11) = e10)) & 61.66/62.11 ((e13 = op1(e13,e12)) | (op1(e13,e12) = e12) | (e11 = op1(e13,e12)) | 61.66/62.11 (op1(e13,e12) = e10)) & 61.66/62.11 ((op1(e13,e13) = e10) | (op1(e13,e13) = e11) | (e12 = op1(e13,e13)) | 61.66/62.11 (op1(e13,e13) = e13)) & 61.66/62.11 ((op1(e13,e10) = e10) | (op1(e13,e10) = e13) | (e12 = op1(e13,e10)) | 61.66/62.11 (op1(e13,e10) = e11)) & 61.66/62.11 ((op1(e11,e13) = e13) | (op1(e11,e13) = e12) | (e11 = op1(e11,e13)) | 61.66/62.11 (op1(e11,e13) = e10)) & 61.66/62.11 ((e10 = op1(e11,e10)) | (e13 = op1(e11,e10)) | (op1(e11,e10) = e12) | 61.66/62.11 (op1(e11,e10) = e11)))). 61.66/62.11 tff('0', plain, 61.66/62.11 (op1(e10, e13) = e10 61.66/62.11 | e11 = op1(e10, e13) 61.66/62.11 | e13 = op1(e10, e13) 61.66/62.11 | op1(e10, e13) = e12), 61.66/62.11 inference('cnf', [status(esa)], [ax1])). 61.66/62.11 tff('1', plain, (op1(e10, e13) = e12) <= ((op1(e10, e13) = e12)), 61.66/62.11 inference('split', [status(esa)], ['0'])). 61.66/62.11 tff('2', plain, 61.66/62.11 (e12 = op1(e10, e11) 61.66/62.11 | e13 = op1(e10, e11) 61.66/62.11 | e11 = op1(e10, e11) 61.66/62.11 | e10 = op1(e10, e11)), 61.66/62.11 inference('cnf', [status(esa)], [ax1])). 61.66/62.11 tff(ax5, axiom, 61.66/62.11 ((op1(e10,e10) != op1(e11,e10)) & (op1(e12,e10) != op1(e10,e10)) & 61.66/62.11 (op1(e10,e10) != op1(e13,e10)) & (op1(e12,e10) != op1(e11,e10)) & 61.66/62.11 (op1(e11,e10) != op1(e13,e10)) & (op1(e11,e11) != op1(e12,e11)) & 61.66/62.11 (op1(e11,e11) != op1(e13,e11)) & (op1(e12,e11) != op1(e13,e11)) & 61.66/62.11 (op1(e11,e12) != op1(e10,e12)) & (op1(e13,e12) != op1(e10,e12)) & 61.66/62.11 (op1(e12,e12) != op1(e11,e12)) & (op1(e11,e12) != op1(e13,e12)) & 61.66/62.11 (op1(e12,e12) != op1(e13,e12)) & (op1(e10,e13) != op1(e11,e13)) & 61.66/62.11 (op1(e10,e13) != op1(e12,e13)) & (op1(e13,e13) != op1(e12,e13)) & 61.66/62.11 (op1(e10,e10) != op1(e10,e11)) & (op1(e10,e13) != op1(e10,e10)) & 61.66/62.11 (op1(e10,e11) != op1(e10,e12)) & (op1(e10,e12) != op1(e10,e13)) & 61.66/62.11 (op1(e11,e10) != op1(e11,e12)) & (op1(e11,e10) != op1(e11,e13)) & 61.66/62.11 (op1(e11,e12) != op1(e11,e11)) & (op1(e11,e13) != op1(e11,e11)) & 61.66/62.11 (op1(e11,e12) != op1(e11,e13)) & (op1(e12,e10) != op1(e12,e12)) & 61.66/62.11 (op1(e12,e10) != op1(e12,e13)) & (op1(e12,e11) != op1(e12,e12)) & 61.66/62.11 (op1(e12,e11) != op1(e12,e13)) & (op1(e12,e12) != op1(e12,e13)) & 61.66/62.11 (op1(e13,e10) != op1(e13,e11)) & (op1(e13,e10) != op1(e13,e13)) & 61.66/62.11 (op1(e13,e12) != op1(e13,e13)) & (op1(e13,e11) != op1(e13,e13)) & 61.66/62.11 (op1(e13,e12) != op1(e13,e11)) & (op1(e13,e12) != op1(e13,e10)) & 61.66/62.11 (op1(e12,e10) != op1(e12,e11)) & (op1(e11,e11) != op1(e11,e10)) & 61.66/62.11 (op1(e10,e11) != op1(e10,e13)) & (op1(e10,e10) != op1(e10,e12)) & 61.66/62.11 (op1(e11,e13) != op1(e13,e13)) & (op1(e12,e13) != op1(e11,e13)) & 61.66/62.11 (op1(e10,e13) != op1(e13,e13)) & (op1(e10,e12) != op1(e12,e12)) & 61.66/62.11 (op1(e10,e11) != op1(e13,e11)) & (op1(e12,e11) != op1(e10,e11)) & 61.66/62.11 (op1(e10,e11) != op1(e11,e11)) & (op1(e13,e10) != op1(e12,e10)))). 61.66/62.11 tff('3', plain, op1(e10, e11) != op1(e11, e11), 61.66/62.11 inference('cnf', [status(esa)], [ax5])). 61.66/62.11 tff(ax12, axiom, 61.66/62.11 ((e10 = op1(op1(e12,e12),op1(e12,e12))) & (op1(e12,op1(e12,e12)) = e13) & 61.66/62.11 (e11 = op1(e12,e12)))). 61.66/62.11 tff('4', plain, e10 = op1(op1(e12, e12), op1(e12, e12)), 61.66/62.11 inference('cnf', [status(esa)], [ax12])). 61.66/62.11 tff('5', plain, e11 = op1(e12, e12), inference('cnf', [status(esa)], [ax12])). 61.66/62.11 tff('6', plain, e11 = op1(e12, e12), inference('cnf', [status(esa)], [ax12])). 61.66/62.11 tff('7', plain, e10 = op1(e11, e11), 61.66/62.11 inference('demod', [status(thm)], ['4', '5', '6'])). 61.66/62.11 tff('8', plain, op1(e10, e11) != e10, 61.66/62.11 inference('demod', [status(thm)], ['3', '7'])). 61.66/62.11 tff('9', plain, op1(e12, e11) != op1(e10, e11), 61.66/62.11 inference('cnf', [status(esa)], [ax5])). 61.66/62.11 tff('10', plain, op1(e12, op1(e12, e12)) = e13, 61.66/62.11 inference('cnf', [status(esa)], [ax12])). 61.66/62.11 tff('11', plain, e11 = op1(e12, e12), inference('cnf', [status(esa)], [ax12])). 61.66/62.11 tff('12', plain, op1(e12, e11) = e13, 61.66/62.11 inference('demod', [status(thm)], ['10', '11'])). 61.66/62.11 tff('13', plain, e13 != op1(e10, e11), 61.66/62.11 inference('demod', [status(thm)], ['9', '12'])). 61.66/62.11 tff('14', plain, (e12 = op1(e10, e11) | e11 = op1(e10, e11)), 61.66/62.11 inference('simplify_reflect-', [status(thm)], ['2', '8', '13'])). 61.66/62.11 tff('15', plain, (e12 = op1(e10, e11)) <= ((e12 = op1(e10, e11))), 61.66/62.11 inference('split', [status(esa)], ['14'])). 61.66/62.11 tff('16', plain, op1(e10, e11) != op1(e10, e13), 61.66/62.11 inference('cnf', [status(esa)], [ax5])). 61.66/62.11 tff('17', plain, (e12 != op1(e10, e13)) <= ((e12 = op1(e10, e11))), 61.66/62.11 inference('s_sup-', [status(thm)], ['15', '16'])). 61.66/62.11 tff('18', plain, 61.66/62.11 (e12 != e12) <= ((e12 = op1(e10, e11)) & (op1(e10, e13) = e12)), 61.66/62.11 inference('s_sup-', [status(thm)], ['1', '17'])). 61.66/62.11 tff('19', plain, ~ (op1(e10, e13) = e12) | ~ (e12 = op1(e10, e11)), 61.66/62.11 inference('simplify', [status(thm)], ['18'])). 61.66/62.11 tff(ax10, axiom, 61.66/62.11 ((((op1(e13,e10) = e10) & 61.66/62.11 ((e11 != op1(e13,e13)) | (op1(e13,e11) != e13)) & 61.66/62.11 ((e12 != op1(e13,e13)) | (op1(e13,e12) != e13)) & 61.66/62.11 ((e13 != op1(e13,e13)) | (op1(e13,e13) != e13)) & 61.66/62.11 ((op1(e13,e10) != e13) | (op1(e13,e13) != e10)) & (op1(e10,e13) = e10)) | 61.66/62.11 (((e10 != op1(e10,e10)) | (e10 != op1(e10,e10))) & 61.66/62.11 ((e10 != op1(e10,e13)) | (e13 != op1(e10,e10))) & 61.66/62.11 ((e10 != op1(e10,e12)) | (e12 != op1(e10,e10))) & 61.66/62.11 ((e11 != op1(e10,e10)) | (e10 != op1(e10,e11))) & 61.66/62.11 (e11 = op1(e10,e11)) & (op1(e11,e10) = e11)) | 61.66/62.11 ((e11 = op1(e11,e11)) & (op1(e11,e11) = e11) & 61.66/62.11 ((op1(e11,e11) != e10) | (op1(e11,e10) != e11)) & 61.66/62.11 ((e13 != op1(e11,e11)) | (e11 != op1(e11,e13))) & 61.66/62.11 ((op1(e11,e12) != e11) | (e12 != op1(e11,e11))) & 61.66/62.11 ((op1(e11,e11) != e11) | (op1(e11,e11) != e11))) | 61.66/62.11 (((e12 != op1(e12,e10)) | (op1(e12,e12) != e10)) & 61.66/62.11 ((op1(e12,e12) != e11) | (op1(e12,e11) != e12)) & 61.66/62.11 ((op1(e12,e12) != e13) | (e12 != op1(e12,e13))) & 61.66/62.11 ((op1(e12,e12) != e12) | (op1(e12,e12) != e12)) & 61.66/62.11 (e11 = op1(e12,e11)) & (op1(e11,e12) = e11)) | 61.66/62.11 ((e12 = op1(e12,e10)) & 61.66/62.11 ((e10 != op1(e10,e10)) | (op1(e10,e10) != e10)) & 61.66/62.11 ((e11 != op1(e10,e10)) | (e10 != op1(e10,e11))) & 61.66/62.11 ((op1(e10,e10) != e13) | (op1(e10,e13) != e10)) & 61.66/62.11 ((e12 != op1(e10,e10)) | (e10 != op1(e10,e12))) & (e12 = op1(e10,e12))) | 61.66/62.11 (((op1(e13,e10) != e13) | (op1(e13,e13) != e10)) & 61.66/62.11 ((op1(e13,e13) != e11) | (e13 != op1(e13,e11))) & 61.66/62.11 ((e13 != op1(e13,e13)) | (e13 != op1(e13,e13))) & 61.66/62.11 ((e13 != op1(e13,e12)) | (op1(e13,e13) != e12)) & 61.66/62.11 (e12 = op1(e13,e12)) & (op1(e12,e13) = e12)) | 61.66/62.11 (((op1(e13,e10) != e13) | (op1(e13,e13) != e10)) & 61.66/62.11 ((e13 != op1(e13,e13)) | (op1(e13,e13) != e13)) & 61.66/62.11 ((op1(e13,e13) != e12) | (e13 != op1(e13,e12))) & 61.66/62.11 ((op1(e13,e11) != e13) | (e11 != op1(e13,e13))) & 61.66/62.11 (e13 = op1(e13,e13)) & (op1(e13,e13) = e13)) | 61.66/62.11 ((e13 = op1(e13,e12)) & 61.66/62.11 ((op1(e12,e10) != e12) | (op1(e12,e12) != e10)) & 61.66/62.11 ((op1(e12,e12) != e12) | (op1(e12,e12) != e12)) & 61.66/62.11 ((op1(e12,e13) != e12) | (e13 != op1(e12,e12))) & 61.66/62.11 ((op1(e12,e12) != e11) | (op1(e12,e11) != e12)) & (op1(e12,e13) = e13)) | 61.66/62.11 (((op1(e11,e10) != e11) | (e10 != op1(e11,e11))) & 61.66/62.11 ((e11 != op1(e11,e11)) | (e11 != op1(e11,e11))) & 61.66/62.11 ((op1(e11,e11) != e12) | (e11 != op1(e11,e12))) & 61.66/62.11 ((op1(e11,e11) != e13) | (e11 != op1(e11,e13))) & 61.66/62.11 (e13 = op1(e11,e13)) & (e13 = op1(e13,e11))) | 61.66/62.11 ((op1(e13,e10) = e13) & (op1(e10,e13) = e13) & 61.66/62.11 ((op1(e10,e10) != e10) | (e10 != op1(e10,e10))) & 61.66/62.11 ((e11 != op1(e10,e10)) | (op1(e10,e11) != e10)) & 61.66/62.11 ((e10 != op1(e10,e12)) | (e12 != op1(e10,e10))) & 61.66/62.11 ((op1(e10,e13) != e10) | (e13 != op1(e10,e10)))) | 61.66/62.11 (((op1(e12,e10) != e12) | (op1(e12,e12) != e10)) & 61.66/62.11 ((e11 != op1(e12,e12)) | (op1(e12,e11) != e12)) & 61.66/62.11 ((op1(e12,e12) != e12) | (op1(e12,e12) != e12)) & 61.66/62.11 ((e12 != op1(e12,e13)) | (e13 != op1(e12,e12))) & 61.66/62.11 (op1(e12,e12) = e12) & (e12 = op1(e12,e12))) | 61.66/62.11 ((e12 = op1(e12,e11)) & (op1(e11,e12) = e12) & 61.66/62.11 ((e10 != op1(e11,e11)) | (e11 != op1(e11,e10))) & 61.66/62.11 ((e13 != op1(e11,e11)) | (op1(e11,e13) != e11)) & 61.66/62.11 ((op1(e11,e12) != e11) | (op1(e11,e11) != e12)) & 61.66/62.11 ((e11 != op1(e11,e11)) | (e11 != op1(e11,e11)))) | 61.66/62.11 ((op1(e11,e13) = e11) & 61.66/62.11 ((op1(e13,e11) != e13) | (op1(e13,e13) != e11)) & 61.66/62.11 ((op1(e13,e13) != e13) | (e13 != op1(e13,e13))) & 61.66/62.11 ((e13 != op1(e13,e12)) | (op1(e13,e13) != e12)) & 61.66/62.11 ((op1(e13,e13) != e10) | (op1(e13,e10) != e13)) & (op1(e13,e11) = e11)) | 61.66/62.11 ((e10 = op1(e10,e12)) & (e10 = op1(e12,e10)) & 61.66/62.11 ((e11 != op1(e12,e12)) | (e12 != op1(e12,e11))) & 61.66/62.11 ((op1(e12,e12) != e12) | (e12 != op1(e12,e12))) & 61.66/62.11 ((e12 != op1(e12,e13)) | (e13 != op1(e12,e12))) & 61.66/62.11 ((e10 != op1(e12,e12)) | (e12 != op1(e12,e10)))) | 61.66/62.11 ((op1(e11,e10) = e10) & 61.66/62.11 ((op1(e11,e11) != e11) | (op1(e11,e11) != e11)) & 61.66/62.11 ((e11 != op1(e11,e12)) | (op1(e11,e11) != e12)) & 61.66/62.11 ((e13 != op1(e11,e11)) | (op1(e11,e13) != e11)) & 61.66/62.11 ((op1(e11,e11) != e10) | (e11 != op1(e11,e10))) & (e10 = op1(e10,e11))) | 61.66/62.11 ((e10 = op1(e10,e10)) & (op1(e10,e10) = e10) & 61.66/62.11 ((e10 != op1(e10,e11)) | (op1(e10,e10) != e11)) & 61.66/62.11 ((e10 != op1(e10,e12)) | (op1(e10,e10) != e12)) & 61.66/62.11 ((op1(e10,e10) != e13) | (op1(e10,e13) != e10)) & 61.66/62.11 ((op1(e10,e10) != e10) | (e10 != op1(e10,e10))))) & 61.66/62.11 ((((op1(e10,e11) = e10) | (op1(e10,e10) != e11)) & 61.66/62.11 ((e11 = op1(e11,e11)) | (op1(e11,e11) != e11)) & 61.66/62.11 ((e12 = op1(e12,e11)) | (e11 != op1(e12,e12))) & 61.66/62.11 ((e13 = op1(e13,e11)) | (op1(e13,e13) != e11)) & (op1(e10,e10) = e11)) | 61.66/62.11 ((op1(e10,e10) = e12) & ((op1(e10,e10) != e12) | (op1(e10,e12) = e10)) & 61.66/62.11 ((op1(e13,e13) != e12) | (e13 = op1(e13,e12))) & 61.66/62.11 ((op1(e12,e12) = e12) | (e12 != op1(e12,e12))) & 61.66/62.11 ((op1(e11,e11) != e12) | (e11 = op1(e11,e12)))) | 61.66/62.11 ((op1(e12,e12) = e12) & ((op1(e13,e13) != e12) | (e13 = op1(e13,e12))) & 61.66/62.11 ((op1(e12,e12) != e12) | (e12 = op1(e12,e12))) & 61.66/62.11 ((op1(e11,e11) != e12) | (op1(e11,e12) = e11)) & 61.66/62.11 ((op1(e10,e12) = e10) | (op1(e10,e10) != e12))) | 61.66/62.11 (((e10 = op1(e10,e10)) | (e10 != op1(e10,e10))) & 61.66/62.11 ((e10 != op1(e13,e13)) | (op1(e13,e10) = e13)) & 61.66/62.11 ((e12 = op1(e12,e10)) | (e10 != op1(e12,e12))) & 61.66/62.11 ((op1(e11,e10) = e11) | (e10 != op1(e11,e11))) & (e10 = op1(e13,e13))) | 61.66/62.11 (((e11 = op1(e11,e11)) | (e11 != op1(e11,e11))) & 61.66/62.11 ((e11 != op1(e12,e12)) | (e12 = op1(e12,e11))) & 61.66/62.11 ((e11 != op1(e13,e13)) | (e13 = op1(e13,e11))) & 61.66/62.11 ((e10 = op1(e10,e11)) | (e11 != op1(e10,e10))) & (op1(e13,e13) = e11)) | 61.66/62.11 (((op1(e11,e12) = e11) | (op1(e11,e11) != e12)) & 61.66/62.11 ((e12 != op1(e12,e12)) | (e12 = op1(e12,e12))) & 61.66/62.11 ((e12 != op1(e13,e13)) | (op1(e13,e12) = e13)) & 61.66/62.11 ((e12 != op1(e10,e10)) | (e10 = op1(e10,e12))) & (e12 = op1(e13,e13))) | 61.66/62.11 (((op1(e10,e13) = e10) | (op1(e10,e10) != e13)) & 61.66/62.11 ((e12 = op1(e12,e13)) | (e13 != op1(e12,e12))) & 61.66/62.11 ((op1(e13,e13) = e13) | (e13 != op1(e13,e13))) & 61.66/62.11 ((op1(e11,e13) = e11) | (op1(e11,e11) != e13)) & (e13 = op1(e13,e13))) | 61.66/62.11 ((op1(e12,e12) = e13) & ((e13 != op1(e11,e11)) | (op1(e11,e13) = e11)) & 61.66/62.11 ((op1(e12,e12) != e13) | (op1(e12,e13) = e12)) & 61.66/62.11 ((op1(e13,e13) = e13) | (op1(e13,e13) != e13)) & 61.66/62.11 ((e10 = op1(e10,e13)) | (e13 != op1(e10,e10)))) | 61.66/62.11 ((e11 = op1(e12,e12)) & ((e10 = op1(e10,e11)) | (e11 != op1(e10,e10))) & 61.66/62.11 ((e11 != op1(e13,e13)) | (op1(e13,e11) = e13)) & 61.66/62.11 ((op1(e12,e11) = e12) | (e11 != op1(e12,e12))) & 61.66/62.11 ((e11 = op1(e11,e11)) | (op1(e11,e11) != e11))) | 61.66/62.11 (((op1(e10,e10) != e10) | (op1(e10,e10) = e10)) & 61.66/62.11 ((op1(e11,e10) = e11) | (op1(e11,e11) != e10)) & 61.66/62.11 ((op1(e12,e10) = e12) | (e10 != op1(e12,e12))) & 61.66/62.11 ((op1(e13,e13) != e10) | (op1(e13,e10) = e13)) & (e10 = op1(e12,e12))) | 61.66/62.11 ((op1(e11,e11) = e13) & ((e13 != op1(e11,e11)) | (e11 = op1(e11,e13))) & 61.66/62.11 ((op1(e12,e13) = e12) | (op1(e12,e12) != e13)) & 61.66/62.11 ((e13 != op1(e13,e13)) | (e13 = op1(e13,e13))) & 61.66/62.11 ((e10 = op1(e10,e13)) | (op1(e10,e10) != e13))) | 61.66/62.11 ((op1(e11,e11) = e12) & ((op1(e11,e12) = e11) | (e12 != op1(e11,e11))) & 61.66/62.11 ((e12 != op1(e12,e12)) | (op1(e12,e12) = e12)) & 61.66/62.11 ((e12 != op1(e13,e13)) | (e13 = op1(e13,e12))) & 61.66/62.11 ((op1(e10,e12) = e10) | (e12 != op1(e10,e10)))) | 61.66/62.11 ((e11 = op1(e11,e11)) & ((e10 = op1(e10,e11)) | (e11 != op1(e10,e10))) & 61.66/62.11 ((op1(e13,e11) = e13) | (e11 != op1(e13,e13))) & 61.66/62.11 ((op1(e12,e11) = e12) | (e11 != op1(e12,e12))) & 61.66/62.11 ((e11 = op1(e11,e11)) | (e11 != op1(e11,e11)))) | 61.66/62.11 (((op1(e12,e12) != e10) | (op1(e12,e10) = e12)) & 61.66/62.11 ((e13 = op1(e13,e10)) | (op1(e13,e13) != e10)) & 61.66/62.11 ((op1(e11,e11) != e10) | (e11 = op1(e11,e10))) & 61.66/62.11 ((e10 = op1(e10,e10)) | (e10 != op1(e10,e10))) & (e10 = op1(e11,e11))) | 61.66/62.11 ((op1(e10,e10) = e13) & ((e10 = op1(e10,e13)) | (op1(e10,e10) != e13)) & 61.66/62.11 ((e13 != op1(e11,e11)) | (op1(e11,e13) = e11)) & 61.66/62.11 ((op1(e13,e13) != e13) | (op1(e13,e13) = e13)) & 61.66/62.11 ((op1(e12,e13) = e12) | (op1(e12,e12) != e13))) | 61.66/62.11 (((op1(e10,e10) = e10) | (e10 != op1(e10,e10))) & 61.66/62.11 ((e12 = op1(e12,e10)) | (op1(e12,e12) != e10)) & 61.66/62.11 ((op1(e13,e10) = e13) | (e10 != op1(e13,e13))) & 61.66/62.11 ((op1(e11,e11) != e10) | (e11 = op1(e11,e10))) & (e10 = op1(e10,e10)))))). 61.66/62.11 tff(zf_stmt_0, axiom, 61.66/62.11 (zip_tseitin_12 => 61.66/62.11 ((op1(e13,e11) = e11) & ((op1(e13,e10) != e13) | (op1(e13,e13) != e10)) & 61.66/62.11 ((op1(e13,e13) != e12) | (e13 != op1(e13,e12))) & 61.66/62.11 ((e13 != op1(e13,e13)) | (op1(e13,e13) != e13)) & 61.66/62.11 ((op1(e13,e13) != e11) | (op1(e13,e11) != e13)) & (op1(e11,e13) = e11)))). 61.66/62.11 tff('20', plain, (op1(e11, e13) = e11 | ~ zip_tseitin_12), 61.66/62.11 inference('cnf', [status(esa)], [zf_stmt_0])). 61.66/62.11 tff('21', plain, (op1(e11, e13) = e11) <= ((op1(e11, e13) = e11)), 61.66/62.11 inference('split', [status(esa)], ['20'])). 61.66/62.11 tff('22', plain, (e11 = op1(e10, e13)) <= ((e11 = op1(e10, e13))), 61.66/62.11 inference('split', [status(esa)], ['0'])). 61.66/62.11 tff('23', plain, op1(e10, e13) != op1(e11, e13), 61.66/62.11 inference('cnf', [status(esa)], [ax5])). 61.66/62.11 tff('24', plain, (e11 != op1(e11, e13)) <= ((e11 = op1(e10, e13))), 61.66/62.11 inference('s_sup-', [status(thm)], ['22', '23'])). 61.66/62.11 tff('25', plain, 61.66/62.11 (e11 != e11) <= ((op1(e11, e13) = e11) & (e11 = op1(e10, e13))), 61.66/62.11 inference('s_sup-', [status(thm)], ['21', '24'])). 61.66/62.11 tff('26', plain, ~ (op1(e11, e13) = e11) | ~ (e11 = op1(e10, e13)), 61.66/62.11 inference('simplify', [status(thm)], ['25'])). 61.66/62.11 tff(zf_stmt_1, axiom, 61.66/62.11 (zip_tseitin_5 => 61.66/62.11 ((op1(e12,e13) = e12) & (e12 = op1(e13,e12)) & 61.66/62.11 ((op1(e13,e13) != e12) | (e13 != op1(e13,e12))) & 61.66/62.11 ((e13 != op1(e13,e13)) | (e13 != op1(e13,e13))) & 61.66/62.11 ((e13 != op1(e13,e11)) | (op1(e13,e13) != e11)) & 61.66/62.11 ((op1(e13,e13) != e10) | (op1(e13,e10) != e13))))). 61.66/62.11 tff('27', plain, (op1(e12, e13) = e12 | ~ zip_tseitin_5), 61.66/62.11 inference('cnf', [status(esa)], [zf_stmt_1])). 61.66/62.11 tff('28', plain, ~ ( zip_tseitin_5) | (op1(e12, e13) = e12), 61.66/62.11 inference('split', [status(esa)], ['27'])). 61.66/62.11 tff(zf_stmt_2, axiom, 61.66/62.11 (zip_tseitin_4 => 61.66/62.11 ((e12 = op1(e10,e12)) & ((e10 != op1(e10,e12)) | (e12 != op1(e10,e10))) & 61.66/62.11 ((op1(e10,e13) != e10) | (op1(e10,e10) != e13)) & 61.66/62.11 ((e10 != op1(e10,e11)) | (e11 != op1(e10,e10))) & 61.66/62.11 ((op1(e10,e10) != e10) | (e10 != op1(e10,e10))) & (e12 = op1(e12,e10))))). 61.66/62.11 tff('29', plain, (e12 = op1(e10, e12) | ~ zip_tseitin_4), 61.66/62.11 inference('cnf', [status(esa)], [zf_stmt_2])). 61.66/62.11 tff('30', plain, (e12 = op1(e10, e12)) <= ((e12 = op1(e10, e12))), 61.66/62.11 inference('split', [status(esa)], ['29'])). 61.66/62.11 tff('31', plain, (e12 = op1(e10, e11)) <= ((e12 = op1(e10, e11))), 61.66/62.11 inference('split', [status(esa)], ['14'])). 61.66/62.11 tff('32', plain, op1(e10, e11) != op1(e10, e12), 61.66/62.11 inference('cnf', [status(esa)], [ax5])). 61.66/62.11 tff('33', plain, (e12 != op1(e10, e12)) <= ((e12 = op1(e10, e11))), 61.66/62.11 inference('s_sup-', [status(thm)], ['31', '32'])). 61.66/62.11 tff('34', plain, 61.66/62.11 (e12 != e12) <= ((e12 = op1(e10, e12)) & (e12 = op1(e10, e11))), 61.66/62.11 inference('s_sup-', [status(thm)], ['30', '33'])). 61.66/62.11 tff('35', plain, ~ (e12 = op1(e10, e12)) | ~ (e12 = op1(e10, e11)), 61.66/62.11 inference('simplify', [status(thm)], ['34'])). 61.66/62.11 tff('36', plain, 61.66/62.11 (e13 != op1(e13, e12) | op1(e13, e13) != e12 | ~ zip_tseitin_12), 61.66/62.11 inference('cnf', [status(esa)], [zf_stmt_0])). 61.66/62.11 tff('37', plain, 61.66/62.11 ~ ( zip_tseitin_12) | ~ (e12 = op1(e13, e13)) | ~ (op1(e13, e12) = e13), 61.66/62.11 inference('split', [status(esa)], ['36'])). 61.66/62.11 tff('38', plain, 61.66/62.11 (op1(e13, e13) = e10 61.66/62.11 | op1(e13, e13) = e11 61.66/62.11 | e12 = op1(e13, e13) 61.66/62.11 | op1(e13, e13) = e13), 61.66/62.11 inference('cnf', [status(esa)], [ax1])). 61.66/62.11 tff('39', plain, 61.66/62.11 (e12 = op1(e13, e13)) | (e13 = op1(e13, e13)) | (op1(e13, e13) = e11) | 61.66/62.11 (op1(e13, e13) = e10), inference('split', [status(esa)], ['38'])). 61.66/62.11 tff(zf_stmt_3, axiom, 61.66/62.11 (zip_tseitin_20 => 61.66/62.11 ((op1(e13,e13) = e11) & ((e11 != op1(e10,e10)) | (e10 = op1(e10,e11))) & 61.66/62.11 ((e13 = op1(e13,e11)) | (e11 != op1(e13,e13))) & 61.66/62.11 ((e12 = op1(e12,e11)) | (e11 != op1(e12,e12))) & 61.66/62.11 ((e11 != op1(e11,e11)) | (e11 = op1(e11,e11)))))). 61.66/62.11 tff('40', plain, (op1(e13, e13) = e11 | ~ zip_tseitin_20), 61.66/62.11 inference('cnf', [status(esa)], [zf_stmt_3])). 61.66/62.11 tff('41', plain, (op1(e13, e13) = e11) <= ((op1(e13, e13) = e11)), 61.66/62.11 inference('split', [status(esa)], ['40'])). 61.66/62.11 tff('42', plain, (op1(e13, e11) = e11 | ~ zip_tseitin_12), 61.66/62.11 inference('cnf', [status(esa)], [zf_stmt_0])). 61.66/62.11 tff('43', plain, (op1(e13, e11) = e11) <= ((op1(e13, e11) = e11)), 61.66/62.11 inference('split', [status(esa)], ['42'])). 61.66/62.11 tff('44', plain, op1(e13, e11) != op1(e13, e13), 61.66/62.11 inference('cnf', [status(esa)], [ax5])). 61.66/62.11 tff('45', plain, (e11 != op1(e13, e13)) <= ((op1(e13, e11) = e11)), 61.66/62.11 inference('s_sup-', [status(thm)], ['43', '44'])). 61.66/62.11 tff('46', plain, 61.66/62.11 (e11 != e11) <= ((op1(e13, e11) = e11) & (op1(e13, e13) = e11)), 61.66/62.11 inference('s_sup-', [status(thm)], ['41', '45'])). 61.66/62.11 tff('47', plain, ~ (op1(e13, e13) = e11) | ~ (op1(e13, e11) = e11), 61.66/62.11 inference('simplify', [status(thm)], ['46'])). 61.66/62.11 tff(ax4, axiom, 61.66/62.11 (((e20 = op2(e20,e20)) | (op2(e21,e20) = e20) | (e20 = op2(e22,e20)) | 61.66/62.11 (op2(e23,e20) = e20)) & 61.66/62.11 ((e21 = op2(e20,e20)) | (op2(e20,e21) = e21) | (op2(e20,e23) = e21) | 61.66/62.11 (op2(e20,e22) = e21)) & 61.66/62.11 ((e23 = op2(e20,e20)) | (op2(e21,e20) = e23) | (e23 = op2(e23,e20)) | 61.66/62.11 (op2(e22,e20) = e23)) & 61.66/62.11 ((op2(e23,e21) = e20) | (e20 = op2(e22,e21)) | (op2(e21,e21) = e20) | 61.66/62.11 (e20 = op2(e20,e21))) & 61.66/62.11 ((op2(e21,e21) = e21) | (op2(e21,e22) = e21) | (op2(e21,e23) = e21) | 61.66/62.11 (e21 = op2(e21,e20))) & 61.66/62.11 ((op2(e21,e21) = e21) | (e21 = op2(e23,e21)) | (e21 = op2(e22,e21)) | 61.66/62.11 (op2(e20,e21) = e21)) & 61.66/62.11 ((op2(e21,e20) = e22) | (op2(e21,e21) = e22) | (op2(e21,e23) = e22) | 61.66/62.11 (op2(e21,e22) = e22)) & 61.66/62.11 ((e23 = op2(e21,e20)) | (e23 = op2(e21,e21)) | (e23 = op2(e21,e22)) | 61.66/62.11 (op2(e21,e23) = e23)) & 61.66/62.11 ((e23 = op2(e20,e21)) | (e23 = op2(e23,e21)) | (e23 = op2(e22,e21)) | 61.66/62.11 (op2(e21,e21) = e23)) & 61.66/62.11 ((op2(e21,e22) = e20) | (op2(e22,e22) = e20) | (op2(e23,e22) = e20) | 61.66/62.11 (op2(e20,e22) = e20)) & 61.66/62.11 ((op2(e22,e20) = e21) | (e21 = op2(e22,e21)) | (e21 = op2(e22,e23)) | 61.66/62.11 (e21 = op2(e22,e22))) & 61.66/62.11 ((op2(e22,e21) = e22) | (op2(e22,e23) = e22) | (e22 = op2(e22,e22)) | 61.66/62.11 (e22 = op2(e22,e20))) & 61.66/62.11 ((e20 = op2(e20,e23)) | (op2(e22,e23) = e20) | (e20 = op2(e23,e23)) | 61.66/62.11 (op2(e21,e23) = e20)) & 61.66/62.11 ((op2(e20,e23) = e21) | (op2(e21,e23) = e21) | (e21 = op2(e22,e23)) | 61.66/62.11 (op2(e23,e23) = e21)) & 61.66/62.11 ((e22 = op2(e23,e20)) | (op2(e23,e22) = e22) | (e22 = op2(e23,e23)) | 61.66/62.11 (op2(e23,e21) = e22)) & 61.66/62.11 ((e23 = op2(e23,e23)) | (e23 = op2(e22,e23)) | (op2(e21,e23) = e23) | 61.66/62.11 (e23 = op2(e20,e23))) & 61.66/62.11 ((e23 = op2(e23,e20)) | (op2(e23,e21) = e23) | (e23 = op2(e23,e22)) | 61.66/62.11 (e23 = op2(e23,e23))) & 61.66/62.11 ((op2(e23,e23) = e22) | (e22 = op2(e22,e23)) | (op2(e21,e23) = e22) | 61.66/62.11 (e22 = op2(e20,e23))) & 61.66/62.11 ((op2(e23,e23) = e21) | (op2(e23,e22) = e21) | (e21 = op2(e23,e21)) | 61.66/62.11 (op2(e23,e20) = e21)) & 61.66/62.11 ((e20 = op2(e23,e21)) | (op2(e23,e22) = e20) | (op2(e23,e23) = e20) | 61.66/62.11 (op2(e23,e20) = e20)) & 61.66/62.11 ((op2(e20,e22) = e23) | (e23 = op2(e21,e22)) | (op2(e22,e22) = e23) | 61.66/62.11 (op2(e23,e22) = e23)) & 61.66/62.11 ((op2(e22,e20) = e23) | (op2(e22,e23) = e23) | (op2(e22,e22) = e23) | 61.66/62.11 (op2(e22,e21) = e23)) & 61.66/62.11 ((op2(e21,e22) = e22) | (e22 = op2(e22,e22)) | (op2(e23,e22) = e22) | 61.66/62.11 (op2(e20,e22) = e22)) & 61.66/62.11 ((op2(e22,e22) = e21) | (e21 = op2(e23,e22)) | (op2(e21,e22) = e21) | 61.66/62.11 (op2(e20,e22) = e21)) & 61.66/62.11 ((op2(e22,e20) = e20) | (e20 = op2(e22,e21)) | (op2(e22,e23) = e20) | 61.66/62.11 (e20 = op2(e22,e22))) & 61.66/62.11 ((op2(e20,e21) = e22) | (e22 = op2(e22,e21)) | (e22 = op2(e23,e21)) | 61.66/62.11 (op2(e21,e21) = e22)) & 61.66/62.11 ((e20 = op2(e21,e21)) | (op2(e21,e23) = e20) | (e20 = op2(e21,e22)) | 61.66/62.11 (op2(e21,e20) = e20)) & 61.66/62.11 ((e23 = op2(e20,e21)) | (e23 = op2(e20,e22)) | (op2(e20,e23) = e23) | 61.66/62.11 (e23 = op2(e20,e20))) & 61.66/62.11 ((e22 = op2(e22,e20)) | (op2(e23,e20) = e22) | (e22 = op2(e21,e20)) | 61.66/62.11 (e22 = op2(e20,e20))) & 61.66/62.11 ((op2(e20,e20) = e22) | (e22 = op2(e20,e21)) | (e22 = op2(e20,e23)) | 61.66/62.11 (op2(e20,e22) = e22)) & 61.66/62.11 ((op2(e20,e20) = e21) | (op2(e23,e20) = e21) | (e21 = op2(e22,e20)) | 61.66/62.11 (op2(e21,e20) = e21)) & 61.66/62.11 ((e20 = op2(e20,e20)) | (op2(e20,e23) = e20) | (op2(e20,e22) = e20) | 61.66/62.11 (e20 = op2(e20,e21))))). 61.66/62.11 tff('48', plain, 61.66/62.11 (e22 = op2(e22, e20) 61.66/62.11 | op2(e23, e20) = e22 61.66/62.11 | e22 = op2(e21, e20) 61.66/62.11 | e22 = op2(e20, e20)), 61.66/62.11 inference('cnf', [status(esa)], [ax4])). 61.66/62.11 tff(ax14, axiom, 61.66/62.11 ((h1(e10) = op2(op2(e20,e20),op2(e20,e20))) & 61.66/62.11 (h1(e13) = op2(e20,op2(e20,e20))) & (h1(e11) = op2(e20,e20)) & 61.66/62.11 (e20 = h1(e12)))). 61.66/62.11 tff('49', plain, h1(e11) = op2(e20, e20), 61.66/62.11 inference('cnf', [status(esa)], [ax14])). 61.66/62.11 tff('50', plain, 61.66/62.11 (e22 = op2(e22, e20) 61.66/62.11 | op2(e23, e20) = e22 61.66/62.11 | e22 = op2(e21, e20) 61.66/62.11 | e22 = h1(e11)), 61.66/62.11 inference('demod', [status(thm)], ['48', '49'])). 61.66/62.11 tff('51', plain, (e22 = h1(e11)) <= ((h1(e11) = e22)), 61.66/62.11 inference('split', [status(esa)], ['50'])). 61.66/62.11 tff('52', plain, h1(e13) = op2(e20, op2(e20, e20)), 61.66/62.11 inference('cnf', [status(esa)], [ax14])). 61.66/62.11 tff('53', plain, h1(e11) = op2(e20, e20), 61.66/62.11 inference('cnf', [status(esa)], [ax14])). 61.66/62.11 tff('54', plain, h1(e13) = op2(e20, h1(e11)), 61.66/62.11 inference('demod', [status(thm)], ['52', '53'])). 61.66/62.11 tff('55', plain, (h1(e13) = op2(e20, e22)) <= ((h1(e11) = e22)), 61.66/62.11 inference('s_sup+', [status(thm)], ['51', '54'])). 61.66/62.11 tff('56', plain, 61.66/62.11 (op2(e21, e22) = e20 61.66/62.11 | op2(e22, e22) = e20 61.66/62.11 | op2(e23, e22) = e20 61.66/62.11 | op2(e20, e22) = e20), 61.66/62.11 inference('cnf', [status(esa)], [ax4])). 61.66/62.11 tff(ax13, axiom, 61.66/62.11 ((op2(e22,op2(e22,e22)) = e23) & (e21 = op2(e22,e22)) & 61.66/62.11 (op2(op2(e22,e22),op2(e22,e22)) = e20))). 61.66/62.11 tff('57', plain, e21 = op2(e22, e22), inference('cnf', [status(esa)], [ax13])). 61.66/62.11 tff('58', plain, 61.66/62.11 (op2(e21, e22) = e20 61.66/62.11 | e21 = e20 61.66/62.11 | op2(e23, e22) = e20 61.66/62.11 | op2(e20, e22) = e20), 61.66/62.11 inference('demod', [status(thm)], ['56', '57'])). 61.66/62.11 tff(ax8, axiom, 61.66/62.11 ((e23 != e20) & (e21 != e22) & (e23 != e21) & (e22 != e23) & 61.66/62.11 (e22 != e20) & (e21 != e20))). 61.66/62.11 tff('59', plain, e21 != e20, inference('cnf', [status(esa)], [ax8])). 61.66/62.11 tff('60', plain, 61.66/62.11 (op2(e21, e22) = e20 | op2(e23, e22) = e20 | op2(e20, e22) = e20), 61.66/62.11 inference('simplify_reflect-', [status(thm)], ['58', '59'])). 61.66/62.11 tff('61', plain, (op2(e20, e22) = e20) <= ((op2(e20, e22) = e20)), 61.66/62.11 inference('split', [status(esa)], ['60'])). 61.66/62.11 tff('62', plain, 61.66/62.11 (h1(e13) = e20) <= ((op2(e20, e22) = e20) & (h1(e11) = e22)), 61.66/62.11 inference('s_sup+', [status(thm)], ['55', '61'])). 61.66/62.11 tff('63', plain, 61.66/62.11 (e20 = op2(e20, e23) 61.66/62.11 | op2(e22, e23) = e20 61.66/62.11 | e20 = op2(e23, e23) 61.66/62.11 | op2(e21, e23) = e20), 61.66/62.11 inference('cnf', [status(esa)], [ax4])). 61.66/62.11 tff('64', plain, (e20 = op2(e23, e23)) <= ((e20 = op2(e23, e23))), 61.66/62.11 inference('split', [status(esa)], ['63'])). 61.66/62.11 tff(ax17, axiom, 61.66/62.11 ((op2(e23,e23) = h4(e11)) & (h4(e13) = op2(e23,op2(e23,e23))) & 61.66/62.11 (op2(op2(e23,e23),op2(e23,e23)) = h4(e10)) & (e23 = h4(e12)))). 61.66/62.11 tff('65', plain, op2(e23, e23) = h4(e11), 61.66/62.11 inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('66', plain, (e20 = h4(e11)) <= ((e20 = op2(e23, e23))), 61.66/62.11 inference('s_sup+', [status(thm)], ['64', '65'])). 61.66/62.11 tff(zf_stmt_4, axiom, 61.66/62.11 (zip_tseitin_1 => 61.66/62.11 ((op1(e11,e10) = e11) & (e11 = op1(e10,e11)) & 61.66/62.11 ((e10 != op1(e10,e11)) | (e11 != op1(e10,e10))) & 61.66/62.11 ((e12 != op1(e10,e10)) | (e10 != op1(e10,e12))) & 61.66/62.11 ((e13 != op1(e10,e10)) | (e10 != op1(e10,e13))) & 61.66/62.11 ((e10 != op1(e10,e10)) | (e10 != op1(e10,e10)))))). 61.66/62.11 tff('67', plain, (op1(e11, e10) = e11 | ~ zip_tseitin_1), 61.66/62.11 inference('cnf', [status(esa)], [zf_stmt_4])). 61.66/62.11 tff('68', plain, (op1(e11, e10) = e11) <= ((op1(e11, e10) = e11)), 61.66/62.11 inference('split', [status(esa)], ['67'])). 61.66/62.11 tff(co1, conjecture, 61.66/62.11 (((h1(op1(e10,e10)) = op2(h1(e10),h1(e10))) & 61.66/62.11 (op2(h1(e10),h1(e13)) = h1(op1(e10,e13))) & 61.66/62.11 (h1(op1(e11,e11)) = op2(h1(e11),h1(e11))) & 61.66/62.11 (op2(h1(e12),h1(e10)) = h1(op1(e12,e10))) & 61.66/62.11 (op2(h1(e12),h1(e11)) = h1(op1(e12,e11))) & 61.66/62.11 (op2(h1(e12),h1(e12)) = h1(op1(e12,e12))) & 61.66/62.11 (op2(h1(e12),h1(e13)) = h1(op1(e12,e13))) & 61.66/62.11 (h1(op1(e13,e10)) = op2(h1(e13),h1(e10))) & 61.66/62.11 (op2(h1(e13),h1(e11)) = h1(op1(e13,e11))) & 61.66/62.11 ((h1(e12) = e20) | (e20 = h1(e13)) | (h1(e11) = e20) | (e20 = h1(e10))) & 61.66/62.11 ((h1(e10) = e21) | (e21 = h1(e11)) | (h1(e13) = e21) | (e21 = h1(e12))) & 61.66/62.11 ((h1(e10) = e22) | (e22 = h1(e12)) | (e22 = h1(e13)) | (h1(e11) = e22)) & 61.66/62.11 ((e23 = h1(e10)) | (e23 = h1(e11)) | (e23 = h1(e13)) | (h1(e12) = e23)) & 61.66/62.11 (h1(op1(e13,e13)) = op2(h1(e13),h1(e13))) & 61.66/62.11 (h1(op1(e13,e12)) = op2(h1(e13),h1(e12))) & 61.66/62.11 (h1(op1(e11,e13)) = op2(h1(e11),h1(e13))) & 61.66/62.11 (h1(op1(e11,e12)) = op2(h1(e11),h1(e12))) & 61.66/62.11 (op2(h1(e11),h1(e10)) = h1(op1(e11,e10))) & 61.66/62.11 (op2(h1(e10),h1(e12)) = h1(op1(e10,e12))) & 61.66/62.11 (h1(op1(e10,e11)) = op2(h1(e10),h1(e11)))) | 61.66/62.11 ((h2(op1(e10,e13)) = op2(h2(e10),h2(e13))) & 61.66/62.11 (op2(h2(e11),h2(e10)) = h2(op1(e11,e10))) & 61.66/62.11 (h2(op1(e11,e11)) = op2(h2(e11),h2(e11))) & 61.66/62.11 (op2(h2(e11),h2(e13)) = h2(op1(e11,e13))) & 61.66/62.11 (op2(h2(e12),h2(e10)) = h2(op1(e12,e10))) & 61.66/62.11 (op2(h2(e12),h2(e12)) = h2(op1(e12,e12))) & 61.66/62.11 (h2(op1(e13,e10)) = op2(h2(e13),h2(e10))) & 61.66/62.11 (h2(op1(e13,e11)) = op2(h2(e13),h2(e11))) & 61.66/62.11 (h2(op1(e13,e13)) = op2(h2(e13),h2(e13))) & 61.66/62.11 ((h2(e13) = e22) | (e22 = h2(e12)) | (h2(e11) = e22) | (e22 = h2(e10))) & 61.66/62.11 ((h2(e13) = e23) | (h2(e12) = e23) | (e23 = h2(e11)) | (e23 = h2(e10))) & 61.66/62.11 ((e21 = h2(e10)) | (h2(e11) = e21) | (h2(e12) = e21) | (e21 = h2(e13))) & 61.66/62.11 ((h2(e10) = e20) | (e20 = h2(e12)) | (e20 = h2(e13)) | (h2(e11) = e20)) & 61.66/62.11 (op2(h2(e13),h2(e12)) = h2(op1(e13,e12))) & 61.66/62.11 (h2(op1(e12,e13)) = op2(h2(e12),h2(e13))) & 61.66/62.11 (op2(h2(e12),h2(e11)) = h2(op1(e12,e11))) & 61.66/62.11 (op2(h2(e11),h2(e12)) = h2(op1(e11,e12))) & 61.66/62.11 (op2(h2(e10),h2(e12)) = h2(op1(e10,e12))) & 61.66/62.11 (op2(h2(e10),h2(e11)) = h2(op1(e10,e11))) & 61.66/62.11 (op2(h2(e10),h2(e10)) = h2(op1(e10,e10)))) | 61.66/62.11 ((h3(op1(e11,e10)) = op2(h3(e11),h3(e10))) & 61.66/62.11 (h3(op1(e11,e11)) = op2(h3(e11),h3(e11))) & 61.66/62.11 (h3(op1(e13,e10)) = op2(h3(e13),h3(e10))) & 61.66/62.11 (op2(h3(e13),h3(e11)) = h3(op1(e13,e11))) & 61.66/62.11 (op2(h3(e13),h3(e12)) = h3(op1(e13,e12))) & 61.66/62.11 (h3(op1(e13,e13)) = op2(h3(e13),h3(e13))) & 61.66/62.11 ((h3(e11) = e23) | (h3(e12) = e23) | (h3(e13) = e23) | (h3(e10) = e23)) & 61.66/62.11 ((e22 = h3(e10)) | (h3(e11) = e22) | (e22 = h3(e12)) | (e22 = h3(e13))) & 61.66/62.11 ((h3(e10) = e21) | (h3(e12) = e21) | (e21 = h3(e13)) | (e21 = h3(e11))) & 61.66/62.11 ((e20 = h3(e10)) | (e20 = h3(e11)) | (e20 = h3(e13)) | (e20 = h3(e12))) & 61.66/62.11 (op2(h3(e12),h3(e13)) = h3(op1(e12,e13))) & 61.66/62.11 (op2(h3(e12),h3(e12)) = h3(op1(e12,e12))) & 61.66/62.11 (op2(h3(e12),h3(e11)) = h3(op1(e12,e11))) & 61.66/62.11 (h3(op1(e12,e10)) = op2(h3(e12),h3(e10))) & 61.66/62.11 (h3(op1(e11,e13)) = op2(h3(e11),h3(e13))) & 61.66/62.11 (op2(h3(e11),h3(e12)) = h3(op1(e11,e12))) & 61.66/62.11 (op2(h3(e10),h3(e13)) = h3(op1(e10,e13))) & 61.66/62.11 (h3(op1(e10,e12)) = op2(h3(e10),h3(e12))) & 61.66/62.11 (h3(op1(e10,e11)) = op2(h3(e10),h3(e11))) & 61.66/62.11 (op2(h3(e10),h3(e10)) = h3(op1(e10,e10)))) | 61.66/62.11 ((h4(op1(e10,e12)) = op2(h4(e10),h4(e12))) & 61.66/62.11 (op2(h4(e11),h4(e10)) = h4(op1(e11,e10))) & 61.66/62.11 (h4(op1(e11,e11)) = op2(h4(e11),h4(e11))) & 61.66/62.11 (h4(op1(e11,e12)) = op2(h4(e11),h4(e12))) & 61.66/62.11 (op2(h4(e11),h4(e13)) = h4(op1(e11,e13))) & 61.66/62.11 (h4(op1(e12,e12)) = op2(h4(e12),h4(e12))) & 61.66/62.11 (op2(h4(e12),h4(e13)) = h4(op1(e12,e13))) & 61.66/62.11 (h4(op1(e13,e11)) = op2(h4(e13),h4(e11))) & 61.66/62.11 (op2(h4(e13),h4(e12)) = h4(op1(e13,e12))) & 61.66/62.11 ((h4(e12) = e20) | (h4(e13) = e20) | (e20 = h4(e11)) | (h4(e10) = e20)) & 61.66/62.11 ((h4(e11) = e23) | (h4(e13) = e23) | (h4(e12) = e23) | (e23 = h4(e10))) & 61.66/62.11 ((e22 = h4(e10)) | (h4(e11) = e22) | (e22 = h4(e13)) | (h4(e12) = e22)) & 61.66/62.11 ((h4(e11) = e21) | (h4(e13) = e21) | (e21 = h4(e12)) | (e21 = h4(e10))) & 61.66/62.11 (op2(h4(e13),h4(e13)) = h4(op1(e13,e13))) & 61.66/62.11 (op2(h4(e13),h4(e10)) = h4(op1(e13,e10))) & 61.66/62.11 (op2(h4(e12),h4(e11)) = h4(op1(e12,e11))) & 61.66/62.11 (h4(op1(e12,e10)) = op2(h4(e12),h4(e10))) & 61.66/62.11 (h4(op1(e10,e13)) = op2(h4(e10),h4(e13))) & 61.66/62.11 (op2(h4(e10),h4(e11)) = h4(op1(e10,e11))) & 61.66/62.11 (op2(h4(e10),h4(e10)) = h4(op1(e10,e10)))))). 61.66/62.11 tff(zf_stmt_5, negated_conjecture, 61.66/62.11 (~ 61.66/62.11 (((h1(op1(e10,e10)) = op2(h1(e10),h1(e10))) & 61.66/62.11 (op2(h1(e10),h1(e13)) = h1(op1(e10,e13))) & 61.66/62.11 (h1(op1(e11,e11)) = op2(h1(e11),h1(e11))) & 61.66/62.11 (op2(h1(e12),h1(e10)) = h1(op1(e12,e10))) & 61.66/62.11 (op2(h1(e12),h1(e11)) = h1(op1(e12,e11))) & 61.66/62.11 (op2(h1(e12),h1(e12)) = h1(op1(e12,e12))) & 61.66/62.11 (op2(h1(e12),h1(e13)) = h1(op1(e12,e13))) & 61.66/62.11 (h1(op1(e13,e10)) = op2(h1(e13),h1(e10))) & 61.66/62.11 (op2(h1(e13),h1(e11)) = h1(op1(e13,e11))) & 61.66/62.11 ((h1(e12) = e20) | (e20 = h1(e13)) | (h1(e11) = e20) | (e20 = h1(e10))) & 61.66/62.11 ((h1(e10) = e21) | (e21 = h1(e11)) | (h1(e13) = e21) | (e21 = h1(e12))) & 61.66/62.11 ((h1(e10) = e22) | (e22 = h1(e12)) | (e22 = h1(e13)) | (h1(e11) = e22)) & 61.66/62.11 ((e23 = h1(e10)) | (e23 = h1(e11)) | (e23 = h1(e13)) | (h1(e12) = e23)) & 61.66/62.11 (h1(op1(e13,e13)) = op2(h1(e13),h1(e13))) & 61.66/62.11 (h1(op1(e13,e12)) = op2(h1(e13),h1(e12))) & 61.66/62.11 (h1(op1(e11,e13)) = op2(h1(e11),h1(e13))) & 61.66/62.11 (h1(op1(e11,e12)) = op2(h1(e11),h1(e12))) & 61.66/62.11 (op2(h1(e11),h1(e10)) = h1(op1(e11,e10))) & 61.66/62.11 (op2(h1(e10),h1(e12)) = h1(op1(e10,e12))) & 61.66/62.11 (h1(op1(e10,e11)) = op2(h1(e10),h1(e11)))) | 61.66/62.11 ((h2(op1(e10,e13)) = op2(h2(e10),h2(e13))) & 61.66/62.11 (op2(h2(e11),h2(e10)) = h2(op1(e11,e10))) & 61.66/62.11 (h2(op1(e11,e11)) = op2(h2(e11),h2(e11))) & 61.66/62.11 (op2(h2(e11),h2(e13)) = h2(op1(e11,e13))) & 61.66/62.11 (op2(h2(e12),h2(e10)) = h2(op1(e12,e10))) & 61.66/62.11 (op2(h2(e12),h2(e12)) = h2(op1(e12,e12))) & 61.66/62.11 (h2(op1(e13,e10)) = op2(h2(e13),h2(e10))) & 61.66/62.11 (h2(op1(e13,e11)) = op2(h2(e13),h2(e11))) & 61.66/62.11 (h2(op1(e13,e13)) = op2(h2(e13),h2(e13))) & 61.66/62.11 ((h2(e13) = e22) | (e22 = h2(e12)) | (h2(e11) = e22) | (e22 = h2(e10))) & 61.66/62.11 ((h2(e13) = e23) | (h2(e12) = e23) | (e23 = h2(e11)) | (e23 = h2(e10))) & 61.66/62.11 ((e21 = h2(e10)) | (h2(e11) = e21) | (h2(e12) = e21) | (e21 = h2(e13))) & 61.66/62.11 ((h2(e10) = e20) | (e20 = h2(e12)) | (e20 = h2(e13)) | (h2(e11) = e20)) & 61.66/62.11 (op2(h2(e13),h2(e12)) = h2(op1(e13,e12))) & 61.66/62.11 (h2(op1(e12,e13)) = op2(h2(e12),h2(e13))) & 61.66/62.11 (op2(h2(e12),h2(e11)) = h2(op1(e12,e11))) & 61.66/62.11 (op2(h2(e11),h2(e12)) = h2(op1(e11,e12))) & 61.66/62.11 (op2(h2(e10),h2(e12)) = h2(op1(e10,e12))) & 61.66/62.11 (op2(h2(e10),h2(e11)) = h2(op1(e10,e11))) & 61.66/62.11 (op2(h2(e10),h2(e10)) = h2(op1(e10,e10)))) | 61.66/62.11 ((h3(op1(e11,e10)) = op2(h3(e11),h3(e10))) & 61.66/62.11 (h3(op1(e11,e11)) = op2(h3(e11),h3(e11))) & 61.66/62.11 (h3(op1(e13,e10)) = op2(h3(e13),h3(e10))) & 61.66/62.11 (op2(h3(e13),h3(e11)) = h3(op1(e13,e11))) & 61.66/62.11 (op2(h3(e13),h3(e12)) = h3(op1(e13,e12))) & 61.66/62.11 (h3(op1(e13,e13)) = op2(h3(e13),h3(e13))) & 61.66/62.11 ((h3(e11) = e23) | (h3(e12) = e23) | (h3(e13) = e23) | (h3(e10) = e23)) & 61.66/62.11 ((e22 = h3(e10)) | (h3(e11) = e22) | (e22 = h3(e12)) | (e22 = h3(e13))) & 61.66/62.11 ((h3(e10) = e21) | (h3(e12) = e21) | (e21 = h3(e13)) | (e21 = h3(e11))) & 61.66/62.11 ((e20 = h3(e10)) | (e20 = h3(e11)) | (e20 = h3(e13)) | (e20 = h3(e12))) & 61.66/62.11 (op2(h3(e12),h3(e13)) = h3(op1(e12,e13))) & 61.66/62.11 (op2(h3(e12),h3(e12)) = h3(op1(e12,e12))) & 61.66/62.11 (op2(h3(e12),h3(e11)) = h3(op1(e12,e11))) & 61.66/62.11 (h3(op1(e12,e10)) = op2(h3(e12),h3(e10))) & 61.66/62.11 (h3(op1(e11,e13)) = op2(h3(e11),h3(e13))) & 61.66/62.11 (op2(h3(e11),h3(e12)) = h3(op1(e11,e12))) & 61.66/62.11 (op2(h3(e10),h3(e13)) = h3(op1(e10,e13))) & 61.66/62.11 (h3(op1(e10,e12)) = op2(h3(e10),h3(e12))) & 61.66/62.11 (h3(op1(e10,e11)) = op2(h3(e10),h3(e11))) & 61.66/62.11 (op2(h3(e10),h3(e10)) = h3(op1(e10,e10)))) | 61.66/62.11 ((h4(op1(e10,e12)) = op2(h4(e10),h4(e12))) & 61.66/62.11 (op2(h4(e11),h4(e10)) = h4(op1(e11,e10))) & 61.66/62.11 (h4(op1(e11,e11)) = op2(h4(e11),h4(e11))) & 61.66/62.11 (h4(op1(e11,e12)) = op2(h4(e11),h4(e12))) & 61.66/62.11 (op2(h4(e11),h4(e13)) = h4(op1(e11,e13))) & 61.66/62.11 (h4(op1(e12,e12)) = op2(h4(e12),h4(e12))) & 61.66/62.11 (op2(h4(e12),h4(e13)) = h4(op1(e12,e13))) & 61.66/62.11 (h4(op1(e13,e11)) = op2(h4(e13),h4(e11))) & 61.66/62.11 (op2(h4(e13),h4(e12)) = h4(op1(e13,e12))) & 61.66/62.11 ((h4(e12) = e20) | (h4(e13) = e20) | (e20 = h4(e11)) | (h4(e10) = e20)) & 61.66/62.11 ((h4(e11) = e23) | (h4(e13) = e23) | (h4(e12) = e23) | (e23 = h4(e10))) & 61.66/62.11 ((e22 = h4(e10)) | (h4(e11) = e22) | (e22 = h4(e13)) | (h4(e12) = e22)) & 61.66/62.11 ((h4(e11) = e21) | (h4(e13) = e21) | (e21 = h4(e12)) | (e21 = h4(e10))) & 61.66/62.11 (op2(h4(e13),h4(e13)) = h4(op1(e13,e13))) & 61.66/62.11 (op2(h4(e13),h4(e10)) = h4(op1(e13,e10))) & 61.66/62.11 (op2(h4(e12),h4(e11)) = h4(op1(e12,e11))) & 61.66/62.11 (h4(op1(e12,e10)) = op2(h4(e12),h4(e10))) & 61.66/62.11 (h4(op1(e10,e13)) = op2(h4(e10),h4(e13))) & 61.66/62.11 (op2(h4(e10),h4(e11)) = h4(op1(e10,e11))) & 61.66/62.11 (op2(h4(e10),h4(e10)) = h4(op1(e10,e10))))))). 61.66/62.11 tff('69', plain, 61.66/62.11 (h4(op1(e10, e12)) != op2(h4(e10), h4(e12)) 61.66/62.11 | op2(h4(e11), h4(e10)) != h4(op1(e11, e10)) 61.66/62.11 | h4(op1(e11, e11)) != op2(h4(e11), h4(e11)) 61.66/62.11 | h4(op1(e11, e12)) != op2(h4(e11), h4(e12)) 61.66/62.11 | op2(h4(e11), h4(e13)) != h4(op1(e11, e13)) 61.66/62.11 | h4(op1(e12, e12)) != op2(h4(e12), h4(e12)) 61.66/62.11 | op2(h4(e12), h4(e13)) != h4(op1(e12, e13)) 61.66/62.11 | h4(op1(e13, e11)) != op2(h4(e13), h4(e11)) 61.66/62.11 | op2(h4(e13), h4(e12)) != h4(op1(e13, e12)) 61.66/62.11 | h4(e10) != e20 61.66/62.11 | h4(e11) != e23 61.66/62.11 | e22 != h4(e13) 61.66/62.11 | h4(e11) != e21 61.66/62.11 | op2(h4(e13), h4(e13)) != h4(op1(e13, e13)) 61.66/62.11 | op2(h4(e13), h4(e10)) != h4(op1(e13, e10)) 61.66/62.11 | op2(h4(e12), h4(e11)) != h4(op1(e12, e11)) 61.66/62.11 | h4(op1(e12, e10)) != op2(h4(e12), h4(e10)) 61.66/62.11 | h4(op1(e10, e13)) != op2(h4(e10), h4(e13)) 61.66/62.11 | op2(h4(e10), h4(e11)) != h4(op1(e10, e11)) 61.66/62.11 | op2(h4(e10), h4(e10)) != h4(op1(e10, e10))), 61.66/62.11 inference('cnf', [status(esa)], [zf_stmt_5])). 61.66/62.11 tff('70', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('71', plain, e10 = op1(e11, e11), 61.66/62.11 inference('demod', [status(thm)], ['4', '5', '6'])). 61.66/62.11 tff('72', plain, op2(op2(e23, e23), op2(e23, e23)) = h4(e10), 61.66/62.11 inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('73', plain, op2(e23, e23) = h4(e11), 61.66/62.11 inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('74', plain, op2(e23, e23) = h4(e11), 61.66/62.11 inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('75', plain, op2(h4(e11), h4(e11)) = h4(e10), 61.66/62.11 inference('demod', [status(thm)], ['72', '73', '74'])). 61.66/62.11 tff('76', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('77', plain, e11 = op1(e12, e12), inference('cnf', [status(esa)], [ax12])). 61.66/62.11 tff('78', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('79', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('80', plain, op2(e23, e23) = h4(e11), 61.66/62.11 inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('81', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('82', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('83', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('84', plain, h4(e13) = op2(e23, op2(e23, e23)), 61.66/62.11 inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('85', plain, op2(e23, e23) = h4(e11), 61.66/62.11 inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('86', plain, h4(e13) = op2(e23, h4(e11)), 61.66/62.11 inference('demod', [status(thm)], ['84', '85'])). 61.66/62.11 tff('87', plain, op1(e12, e11) = e13, 61.66/62.11 inference('demod', [status(thm)], ['10', '11'])). 61.66/62.11 tff('88', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('89', plain, 61.66/62.11 (h4(op1(e10, e12)) != op2(h4(e10), e23) 61.66/62.11 | op2(h4(e11), h4(e10)) != h4(op1(e11, e10)) 61.66/62.11 | h4(e10) != h4(e10) 61.66/62.11 | h4(op1(e11, e12)) != op2(h4(e11), e23) 61.66/62.11 | op2(h4(e11), h4(e13)) != h4(op1(e11, e13)) 61.66/62.11 | h4(e11) != h4(e11) 61.66/62.11 | op2(e23, h4(e13)) != h4(op1(e12, e13)) 61.66/62.11 | h4(op1(e13, e11)) != op2(h4(e13), h4(e11)) 61.66/62.11 | op2(h4(e13), e23) != h4(op1(e13, e12)) 61.66/62.11 | h4(e10) != e20 61.66/62.11 | h4(e11) != e23 61.66/62.11 | e22 != h4(e13) 61.66/62.11 | h4(e11) != e21 61.66/62.11 | op2(h4(e13), h4(e13)) != h4(op1(e13, e13)) 61.66/62.11 | op2(h4(e13), h4(e10)) != h4(op1(e13, e10)) 61.66/62.11 | h4(e13) != h4(e13) 61.66/62.11 | h4(op1(e12, e10)) != op2(e23, h4(e10)) 61.66/62.11 | h4(op1(e10, e13)) != op2(h4(e10), h4(e13)) 61.66/62.11 | op2(h4(e10), h4(e11)) != h4(op1(e10, e11)) 61.66/62.11 | op2(h4(e10), h4(e10)) != h4(op1(e10, e10))), 61.66/62.11 inference('demod', [status(thm)], 61.66/62.11 ['69', '70', '71', '75', '76', '77', '78', '79', '80', '81', 61.66/62.11 '82', '83', '86', '87', '88'])). 61.66/62.11 tff('90', plain, 61.66/62.11 (op2(h4(e10), h4(e10)) != h4(op1(e10, e10)) 61.66/62.11 | op2(h4(e10), h4(e11)) != h4(op1(e10, e11)) 61.66/62.11 | h4(op1(e10, e13)) != op2(h4(e10), h4(e13)) 61.66/62.11 | h4(op1(e12, e10)) != op2(e23, h4(e10)) 61.66/62.11 | op2(h4(e13), h4(e10)) != h4(op1(e13, e10)) 61.66/62.11 | op2(h4(e13), h4(e13)) != h4(op1(e13, e13)) 61.66/62.11 | h4(e11) != e21 61.66/62.11 | e22 != h4(e13) 61.66/62.11 | h4(e11) != e23 61.66/62.11 | h4(e10) != e20 61.66/62.11 | op2(h4(e13), e23) != h4(op1(e13, e12)) 61.66/62.11 | h4(op1(e13, e11)) != op2(h4(e13), h4(e11)) 61.66/62.11 | op2(e23, h4(e13)) != h4(op1(e12, e13)) 61.66/62.11 | op2(h4(e11), h4(e13)) != h4(op1(e11, e13)) 61.66/62.11 | h4(op1(e11, e12)) != op2(h4(e11), e23) 61.66/62.11 | op2(h4(e11), h4(e10)) != h4(op1(e11, e10)) 61.66/62.11 | h4(op1(e10, e12)) != op2(h4(e10), e23)), 61.66/62.11 inference('simplify', [status(thm)], ['89'])). 61.66/62.11 tff('91', plain, 61.66/62.11 (op2(h4(e11), h4(e10)) != h4(op1(e11, e10))) 61.66/62.11 <= (~ (op2(h4(e11), h4(e10)) = h4(op1(e11, e10)))), 61.66/62.11 inference('split', [status(esa)], ['90'])). 61.66/62.11 tff('92', plain, 61.66/62.11 (op2(h4(e11), h4(e10)) != h4(e11)) 61.66/62.11 <= (~ (op2(h4(e11), h4(e10)) = h4(op1(e11, e10))) & 61.66/62.11 (op1(e11, e10) = e11)), 61.66/62.11 inference('s_sup-', [status(thm)], ['68', '91'])). 61.66/62.11 tff('93', plain, 61.66/62.11 (op2(e20, h4(e10)) != e20) 61.66/62.11 <= (~ (op2(h4(e11), h4(e10)) = h4(op1(e11, e10))) & 61.66/62.11 (op1(e11, e10) = e11) & 61.66/62.11 (e20 = op2(e23, e23))), 61.66/62.11 inference('s_sup-', [status(thm)], ['66', '92'])). 61.66/62.11 tff('94', plain, (e20 = h4(e11)) <= ((e20 = op2(e23, e23))), 61.66/62.11 inference('s_sup+', [status(thm)], ['64', '65'])). 61.66/62.11 tff('95', plain, op2(h4(e11), h4(e11)) = h4(e10), 61.66/62.11 inference('demod', [status(thm)], ['72', '73', '74'])). 61.66/62.11 tff('96', plain, (op2(e20, e20) = h4(e10)) <= ((e20 = op2(e23, e23))), 61.66/62.11 inference('s_sup+', [status(thm)], ['94', '95'])). 61.66/62.11 tff('97', plain, h1(e11) = op2(e20, e20), 61.66/62.11 inference('cnf', [status(esa)], [ax14])). 61.66/62.11 tff('98', plain, (h1(e11) = h4(e10)) <= ((e20 = op2(e23, e23))), 61.66/62.11 inference('s_sup+', [status(thm)], ['96', '97'])). 61.66/62.11 tff('99', plain, h1(e13) = op2(e20, h1(e11)), 61.66/62.11 inference('demod', [status(thm)], ['52', '53'])). 61.66/62.11 tff('100', plain, (h1(e13) = op2(e20, h4(e10))) <= ((e20 = op2(e23, e23))), 61.66/62.11 inference('s_sup+', [status(thm)], ['98', '99'])). 61.66/62.11 tff('101', plain, 61.66/62.11 (h1(e13) != e20) 61.66/62.11 <= (~ (op2(h4(e11), h4(e10)) = h4(op1(e11, e10))) & 61.66/62.11 (op1(e11, e10) = e11) & 61.66/62.11 (e20 = op2(e23, e23))), 61.66/62.11 inference('demod', [status(thm)], ['93', '100'])). 61.66/62.11 tff('102', plain, 61.66/62.11 (e20 != e20) 61.66/62.11 <= (~ (op2(h4(e11), h4(e10)) = h4(op1(e11, e10))) & 61.66/62.11 (op1(e11, e10) = e11) & 61.66/62.11 (op2(e20, e22) = e20) & 61.66/62.11 (h1(e11) = e22) & 61.66/62.11 (e20 = op2(e23, e23))), 61.66/62.11 inference('s_sup-', [status(thm)], ['62', '101'])). 61.66/62.11 tff('103', plain, 61.66/62.11 (op2(h4(e11), h4(e10)) = h4(op1(e11, e10))) | ~ (h1(e11) = e22) | 61.66/62.11 ~ (op1(e11, e10) = e11) | ~ (op2(e20, e22) = e20) | 61.66/62.11 ~ (e20 = op2(e23, e23)), inference('simplify', [status(thm)], ['102'])). 61.66/62.11 tff('104', plain, 61.66/62.11 (e23 = op2(e23, e23) 61.66/62.11 | e23 = op2(e22, e23) 61.66/62.11 | op2(e21, e23) = e23 61.66/62.11 | e23 = op2(e20, e23)), 61.66/62.11 inference('cnf', [status(esa)], [ax4])). 61.66/62.11 tff('105', plain, (e23 = op2(e20, e23)) <= ((e23 = op2(e20, e23))), 61.66/62.11 inference('split', [status(esa)], ['104'])). 61.66/62.11 tff(ax3, axiom, 61.66/62.11 (((op2(e20,e21) = e22) | (op2(e20,e21) = e23) | (op2(e20,e21) = e21) | 61.66/62.11 (e20 = op2(e20,e21))) & 61.66/62.11 ((e22 = op2(e20,e23)) | (e23 = op2(e20,e23)) | (e21 = op2(e20,e23)) | 61.66/62.11 (op2(e20,e23) = e20)) & 61.66/62.11 ((op2(e21,e22) = e23) | (op2(e21,e22) = e22) | (e21 = op2(e21,e22)) | 61.66/62.11 (op2(e21,e22) = e20)) & 61.66/62.11 ((op2(e22,e22) = e23) | (op2(e22,e22) = e22) | (op2(e22,e22) = e21) | 61.66/62.11 (op2(e22,e22) = e20)) & 61.66/62.11 ((op2(e23,e22) = e20) | (op2(e23,e22) = e22) | (e23 = op2(e23,e22)) | 61.66/62.11 (op2(e23,e22) = e21)) & 61.66/62.11 ((op2(e23,e23) = e22) | (e23 = op2(e23,e23)) | (op2(e23,e23) = e21) | 61.66/62.11 (e20 = op2(e23,e23))) & 61.66/62.11 ((op2(e23,e21) = e21) | (op2(e23,e21) = e22) | (e23 = op2(e23,e21)) | 61.66/62.11 (op2(e23,e21) = e20)) & 61.66/62.11 ((op2(e23,e20) = e20) | (e21 = op2(e23,e20)) | (op2(e23,e20) = e23) | 61.66/62.11 (op2(e23,e20) = e22)) & 61.66/62.11 ((e23 = op2(e22,e23)) | (op2(e22,e23) = e22) | (e21 = op2(e22,e23)) | 61.66/62.11 (op2(e22,e23) = e20)) & 61.66/62.11 ((e20 = op2(e22,e21)) | (e21 = op2(e22,e21)) | (e22 = op2(e22,e21)) | 61.66/62.11 (e23 = op2(e22,e21))) & 61.66/62.11 ((e21 = op2(e22,e20)) | (op2(e22,e20) = e22) | (e23 = op2(e22,e20)) | 61.66/62.11 (op2(e22,e20) = e20)) & 61.66/62.11 ((e21 = op2(e21,e23)) | (e23 = op2(e21,e23)) | (e22 = op2(e21,e23)) | 61.66/62.11 (e20 = op2(e21,e23))) & 61.66/62.11 ((op2(e21,e21) = e21) | (e22 = op2(e21,e21)) | (op2(e21,e21) = e23) | 61.66/62.11 (op2(e21,e21) = e20)) & 61.66/62.11 ((e20 = op2(e21,e20)) | (op2(e21,e20) = e22) | (e23 = op2(e21,e20)) | 61.66/62.11 (op2(e21,e20) = e21)) & 61.66/62.11 ((op2(e20,e22) = e20) | (op2(e20,e22) = e22) | (op2(e20,e22) = e23) | 61.66/62.11 (op2(e20,e22) = e21)) & 61.66/62.11 ((e22 = op2(e20,e20)) | (e23 = op2(e20,e20)) | (e21 = op2(e20,e20)) | 61.66/62.11 (op2(e20,e20) = e20)))). 61.66/62.11 tff('106', plain, 61.66/62.11 (op2(e23, e23) = e22 61.66/62.11 | e23 = op2(e23, e23) 61.66/62.11 | op2(e23, e23) = e21 61.66/62.11 | e20 = op2(e23, e23)), 61.66/62.11 inference('cnf', [status(esa)], [ax3])). 61.66/62.11 tff('107', plain, op2(e23, e23) = h4(e11), 61.66/62.11 inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('108', plain, op2(e23, e23) = h4(e11), 61.66/62.11 inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('109', plain, op2(e23, e23) = h4(e11), 61.66/62.11 inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('110', plain, 61.66/62.11 (h4(e11) = e22 | e23 = op2(e23, e23) | h4(e11) = e21 | e20 = h4(e11)), 61.66/62.11 inference('demod', [status(thm)], ['106', '107', '108', '109'])). 61.66/62.11 tff('111', plain, (e20 = h4(e11)) <= ((h4(e11) = e20)), 61.66/62.11 inference('split', [status(esa)], ['110'])). 61.66/62.11 tff(zf_stmt_6, axiom, 61.66/62.11 (zip_tseitin_11 => 61.66/62.11 (((e11 != op1(e11,e11)) | (e11 != op1(e11,e11))) & 61.66/62.11 ((op1(e11,e11) != e12) | (op1(e11,e12) != e11)) & 61.66/62.11 ((op1(e11,e13) != e11) | (e13 != op1(e11,e11))) & 61.66/62.11 ((e11 != op1(e11,e10)) | (e10 != op1(e11,e11))) & (op1(e11,e12) = e12) & 61.66/62.11 (e12 = op1(e12,e11))))). 61.66/62.11 tff('112', plain, (op1(e11, e12) = e12 | ~ zip_tseitin_11), 61.66/62.11 inference('cnf', [status(esa)], [zf_stmt_6])). 61.66/62.11 tff('113', plain, (op1(e11, e12) = e12) <= ((op1(e11, e12) = e12)), 61.66/62.11 inference('split', [status(esa)], ['112'])). 61.66/62.11 tff('114', plain, 61.66/62.11 (h4(op1(e10, e12)) != op2(h4(e10), h4(e12)) 61.66/62.11 | op2(h4(e11), h4(e10)) != h4(op1(e11, e10)) 61.66/62.11 | h4(op1(e11, e11)) != op2(h4(e11), h4(e11)) 61.66/62.11 | h4(op1(e11, e12)) != op2(h4(e11), h4(e12)) 61.66/62.11 | op2(h4(e11), h4(e13)) != h4(op1(e11, e13)) 61.66/62.11 | h4(op1(e12, e12)) != op2(h4(e12), h4(e12)) 61.66/62.11 | op2(h4(e12), h4(e13)) != h4(op1(e12, e13)) 61.66/62.11 | h4(op1(e13, e11)) != op2(h4(e13), h4(e11)) 61.66/62.11 | op2(h4(e13), h4(e12)) != h4(op1(e13, e12)) 61.66/62.11 | h4(e10) != e20 61.66/62.11 | h4(e11) != e23 61.66/62.11 | h4(e12) != e22 61.66/62.11 | h4(e11) != e21 61.66/62.11 | op2(h4(e13), h4(e13)) != h4(op1(e13, e13)) 61.66/62.11 | op2(h4(e13), h4(e10)) != h4(op1(e13, e10)) 61.66/62.11 | op2(h4(e12), h4(e11)) != h4(op1(e12, e11)) 61.66/62.11 | h4(op1(e12, e10)) != op2(h4(e12), h4(e10)) 61.66/62.11 | h4(op1(e10, e13)) != op2(h4(e10), h4(e13)) 61.66/62.11 | op2(h4(e10), h4(e11)) != h4(op1(e10, e11)) 61.66/62.11 | op2(h4(e10), h4(e10)) != h4(op1(e10, e10))), 61.66/62.11 inference('cnf', [status(esa)], [zf_stmt_5])). 61.66/62.11 tff('115', plain, 61.66/62.11 (h4(op1(e11, e12)) != op2(h4(e11), h4(e12))) 61.66/62.11 <= (~ (h4(op1(e11, e12)) = op2(h4(e11), h4(e12)))), 61.66/62.11 inference('split', [status(esa)], ['114'])). 61.66/62.11 tff('116', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('117', plain, 61.66/62.11 (h4(op1(e11, e12)) != op2(h4(e11), e23)) 61.66/62.11 <= (~ (h4(op1(e11, e12)) = op2(h4(e11), h4(e12)))), 61.66/62.11 inference('demod', [status(thm)], ['115', '116'])). 61.66/62.11 tff('118', plain, 61.66/62.11 (h4(e12) != op2(h4(e11), e23)) 61.66/62.11 <= (~ (h4(op1(e11, e12)) = op2(h4(e11), h4(e12))) & 61.66/62.11 (op1(e11, e12) = e12)), 61.66/62.11 inference('s_sup-', [status(thm)], ['113', '117'])). 61.66/62.11 tff('119', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('120', plain, 61.66/62.11 (e23 != op2(h4(e11), e23)) 61.66/62.11 <= (~ (h4(op1(e11, e12)) = op2(h4(e11), h4(e12))) & 61.66/62.11 (op1(e11, e12) = e12)), 61.66/62.11 inference('demod', [status(thm)], ['118', '119'])). 61.66/62.11 tff('121', plain, 61.66/62.11 (e23 != op2(e20, e23)) 61.66/62.11 <= (~ (h4(op1(e11, e12)) = op2(h4(e11), h4(e12))) & 61.66/62.11 (op1(e11, e12) = e12) & 61.66/62.11 (h4(e11) = e20)), 61.66/62.11 inference('s_sup-', [status(thm)], ['111', '120'])). 61.66/62.11 tff('122', plain, 61.66/62.11 (e23 != e23) 61.66/62.11 <= (~ (h4(op1(e11, e12)) = op2(h4(e11), h4(e12))) & 61.66/62.11 (e23 = op2(e20, e23)) & 61.66/62.11 (op1(e11, e12) = e12) & 61.66/62.11 (h4(e11) = e20)), 61.66/62.11 inference('s_sup-', [status(thm)], ['105', '121'])). 61.66/62.11 tff('123', plain, 61.66/62.11 (h4(op1(e11, e12)) = op2(h4(e11), h4(e12))) | ~ (e23 = op2(e20, e23)) | 61.66/62.11 ~ (h4(e11) = e20) | ~ (op1(e11, e12) = e12), 61.66/62.11 inference('simplify', [status(thm)], ['122'])). 61.66/62.11 tff('124', plain, 61.66/62.11 (e23 = op2(e23, e20) 61.66/62.11 | op2(e23, e21) = e23 61.66/62.11 | e23 = op2(e23, e22) 61.66/62.11 | e23 = op2(e23, e23)), 61.66/62.11 inference('cnf', [status(esa)], [ax4])). 61.66/62.11 tff('125', plain, (e23 = op2(e23, e22)) <= ((op2(e23, e22) = e23)), 61.66/62.11 inference('split', [status(esa)], ['124'])). 61.66/62.11 tff('126', plain, (e20 = h4(e11)) <= ((h4(e11) = e20)), 61.66/62.11 inference('split', [status(esa)], ['110'])). 61.66/62.11 tff('127', plain, op2(h4(e11), h4(e11)) = h4(e10), 61.66/62.11 inference('demod', [status(thm)], ['72', '73', '74'])). 61.66/62.11 tff('128', plain, (op2(e20, e20) = h4(e10)) <= ((h4(e11) = e20)), 61.66/62.11 inference('s_sup+', [status(thm)], ['126', '127'])). 61.66/62.11 tff(ax11, axiom, 61.66/62.11 ((((e20 = op2(e20,e20)) & 61.66/62.11 ((op2(e20,e21) != e20) | (op2(e20,e20) != e21)) & 61.66/62.11 ((op2(e20,e23) != e20) | (e23 != op2(e20,e20))) & 61.66/62.11 ((op2(e20,e22) != e20) | (op2(e20,e20) != e22)) & 61.66/62.11 ((e20 != op2(e20,e20)) | (op2(e20,e20) != e20)) & (e20 = op2(e20,e20))) | 61.66/62.11 (((e20 != op2(e22,e22)) | (e22 != op2(e22,e20))) & 61.66/62.11 ((e22 != op2(e22,e22)) | (op2(e22,e22) != e22)) & 61.66/62.11 ((e22 != op2(e22,e23)) | (e23 != op2(e22,e22))) & 61.66/62.11 ((e22 != op2(e22,e21)) | (e21 != op2(e22,e22))) & 61.66/62.11 (e20 = op2(e22,e20)) & (op2(e20,e22) = e20)) | 61.66/62.11 ((op2(e20,e23) = e20) & (op2(e23,e20) = e20) & 61.66/62.11 ((op2(e23,e20) != e23) | (op2(e23,e23) != e20)) & 61.66/62.11 ((op2(e23,e23) != e23) | (e23 != op2(e23,e23))) & 61.66/62.11 ((op2(e23,e22) != e23) | (e22 != op2(e23,e23))) & 61.66/62.11 ((e21 != op2(e23,e23)) | (e23 != op2(e23,e21)))) | 61.66/62.11 ((e21 = op2(e22,e21)) & 61.66/62.11 ((e20 != op2(e22,e22)) | (op2(e22,e20) != e22)) & 61.66/62.11 ((op2(e22,e22) != e23) | (e22 != op2(e22,e23))) & 61.66/62.11 ((e22 != op2(e22,e22)) | (e22 != op2(e22,e22))) & 61.66/62.11 ((e22 != op2(e22,e21)) | (e21 != op2(e22,e22))) & (e21 = op2(e21,e22))) | 61.66/62.11 ((op2(e22,e23) = e22) & (op2(e23,e22) = e22) & 61.66/62.11 ((e21 != op2(e23,e23)) | (e23 != op2(e23,e21))) & 61.66/62.11 ((op2(e23,e22) != e23) | (op2(e23,e23) != e22)) & 61.66/62.11 ((op2(e23,e23) != e23) | (e23 != op2(e23,e23))) & 61.66/62.11 ((op2(e23,e20) != e23) | (e20 != op2(e23,e23)))) | 61.66/62.11 ((op2(e23,e20) = e23) & 61.66/62.11 ((op2(e20,e20) != e22) | (e20 != op2(e20,e22))) & 61.66/62.11 ((op2(e20,e20) != e23) | (op2(e20,e23) != e20)) & 61.66/62.11 ((e21 != op2(e20,e20)) | (op2(e20,e21) != e20)) & 61.66/62.11 ((op2(e20,e20) != e20) | (e20 != op2(e20,e20))) & (e23 = op2(e20,e23))) | 61.66/62.11 ((e23 = op2(e23,e22)) & (e23 = op2(e22,e23)) & 61.66/62.11 ((e20 != op2(e22,e22)) | (e22 != op2(e22,e20))) & 61.66/62.11 ((op2(e22,e22) != e21) | (e22 != op2(e22,e21))) & 61.66/62.11 ((e22 != op2(e22,e22)) | (op2(e22,e22) != e22)) & 61.66/62.11 ((e22 != op2(e22,e23)) | (e23 != op2(e22,e22)))) | 61.66/62.11 ((op2(e23,e23) = e23) & (op2(e23,e23) = e23) & 61.66/62.11 ((e21 != op2(e23,e23)) | (e23 != op2(e23,e21))) & 61.66/62.11 ((e23 != op2(e23,e23)) | (e23 != op2(e23,e23))) & 61.66/62.11 ((e22 != op2(e23,e23)) | (op2(e23,e22) != e23)) & 61.66/62.11 ((op2(e23,e20) != e23) | (e20 != op2(e23,e23)))) | 61.66/62.11 (((op2(e21,e20) != e21) | (e20 != op2(e21,e21))) & 61.66/62.11 ((op2(e21,e21) != e21) | (e21 != op2(e21,e21))) & 61.66/62.11 ((op2(e21,e23) != e21) | (e23 != op2(e21,e21))) & 61.66/62.11 ((op2(e21,e22) != e21) | (op2(e21,e21) != e22)) & 61.66/62.11 (op2(e21,e23) = e23) & (e23 = op2(e23,e21))) | 61.66/62.11 ((e22 = op2(e22,e22)) & (e22 = op2(e22,e22)) & 61.66/62.11 ((op2(e22,e22) != e22) | (e22 != op2(e22,e22))) & 61.66/62.11 ((op2(e22,e22) != e23) | (e22 != op2(e22,e23))) & 61.66/62.11 ((op2(e22,e22) != e21) | (op2(e22,e21) != e22)) & 61.66/62.11 ((op2(e22,e22) != e20) | (op2(e22,e20) != e22))) | 61.66/62.11 (((e23 != op2(e21,e21)) | (op2(e21,e23) != e21)) & 61.66/62.11 ((e22 != op2(e21,e21)) | (e21 != op2(e21,e22))) & 61.66/62.11 ((e21 != op2(e21,e21)) | (op2(e21,e21) != e21)) & 61.66/62.11 ((e20 != op2(e21,e21)) | (e21 != op2(e21,e20))) & 61.66/62.11 (op2(e21,e22) = e22) & (op2(e22,e21) = e22)) | 61.66/62.11 ((op2(e22,e20) = e22) & 61.66/62.11 ((e20 != op2(e20,e21)) | (op2(e20,e20) != e21)) & 61.66/62.11 ((op2(e20,e20) != e22) | (op2(e20,e22) != e20)) & 61.66/62.11 ((e20 != op2(e20,e23)) | (op2(e20,e20) != e23)) & 61.66/62.11 ((e20 != op2(e20,e20)) | (e20 != op2(e20,e20))) & (op2(e20,e22) = e22)) | 61.66/62.11 ((op2(e21,e23) = e21) & (e21 = op2(e23,e21)) & 61.66/62.11 ((op2(e23,e23) != e20) | (e23 != op2(e23,e20))) & 61.66/62.11 ((e23 != op2(e23,e23)) | (op2(e23,e23) != e23)) & 61.66/62.11 ((e22 != op2(e23,e23)) | (e23 != op2(e23,e22))) & 61.66/62.11 ((e23 != op2(e23,e21)) | (e21 != op2(e23,e23)))) | 61.66/62.11 ((e21 = op2(e21,e21)) & (e21 = op2(e21,e21)) & 61.66/62.11 ((e20 != op2(e21,e21)) | (e21 != op2(e21,e20))) & 61.66/62.11 ((e21 != op2(e21,e21)) | (op2(e21,e21) != e21)) & 61.66/62.11 ((op2(e21,e21) != e23) | (op2(e21,e23) != e21)) & 61.66/62.11 ((op2(e21,e22) != e21) | (op2(e21,e21) != e22))) | 61.66/62.11 ((op2(e21,e20) = e21) & 61.66/62.11 ((op2(e20,e20) != e20) | (op2(e20,e20) != e20)) & 61.66/62.11 ((op2(e20,e20) != e21) | (e20 != op2(e20,e21))) & 61.66/62.11 ((e20 != op2(e20,e22)) | (op2(e20,e20) != e22)) & 61.66/62.11 ((op2(e20,e23) != e20) | (op2(e20,e20) != e23)) & (e21 = op2(e20,e21))) | 61.66/62.11 (((e21 != op2(e21,e20)) | (op2(e21,e21) != e20)) & 61.66/62.11 ((op2(e21,e21) != e23) | (op2(e21,e23) != e21)) & 61.66/62.11 ((e21 != op2(e21,e22)) | (e22 != op2(e21,e21))) & 61.66/62.11 ((e21 != op2(e21,e21)) | (op2(e21,e21) != e21)) & 61.66/62.11 (op2(e21,e20) = e20) & (op2(e20,e21) = e20))) & 61.66/62.11 ((((e21 != op2(e23,e23)) | (e23 = op2(e23,e21))) & 61.66/62.11 ((op2(e22,e22) != e21) | (op2(e22,e21) = e22)) & 61.66/62.11 ((op2(e21,e21) = e21) | (op2(e21,e21) != e21)) & 61.66/62.11 ((e20 = op2(e20,e21)) | (e21 != op2(e20,e20))) & (e21 = op2(e20,e20))) | 61.66/62.11 (((op2(e20,e22) = e20) | (op2(e20,e20) != e22)) & 61.66/62.11 ((op2(e22,e22) = e22) | (op2(e22,e22) != e22)) & 61.66/62.11 ((op2(e23,e22) = e23) | (e22 != op2(e23,e23))) & 61.66/62.11 ((e21 = op2(e21,e22)) | (e22 != op2(e21,e21))) & (e22 = op2(e20,e20))) | 61.66/62.11 (((e20 = op2(e20,e23)) | (e23 != op2(e20,e20))) & 61.66/62.11 ((e21 = op2(e21,e23)) | (e23 != op2(e21,e21))) & 61.66/62.11 ((op2(e23,e23) != e23) | (e23 = op2(e23,e23))) & 61.66/62.11 ((op2(e22,e23) = e22) | (op2(e22,e22) != e23)) & (op2(e20,e20) = e23)) | 61.66/62.11 ((op2(e21,e21) = e23) & ((op2(e20,e23) = e20) | (e23 != op2(e20,e20))) & 61.66/62.11 ((e22 = op2(e22,e23)) | (e23 != op2(e22,e22))) & 61.66/62.11 ((e23 != op2(e23,e23)) | (op2(e23,e23) = e23)) & 61.66/62.11 ((op2(e21,e23) = e21) | (e23 != op2(e21,e21)))) | 61.66/62.11 ((op2(e22,e22) = e20) & ((e20 != op2(e20,e20)) | (e20 = op2(e20,e20))) & 61.66/62.11 ((e21 = op2(e21,e20)) | (e20 != op2(e21,e21))) & 61.66/62.11 ((op2(e22,e22) != e20) | (op2(e22,e20) = e22)) & 61.66/62.11 ((e20 != op2(e23,e23)) | (e23 = op2(e23,e20)))) | 61.66/62.11 (((op2(e21,e21) = e21) | (op2(e21,e21) != e21)) & 61.66/62.11 ((e21 != op2(e22,e22)) | (op2(e22,e21) = e22)) & 61.66/62.11 ((op2(e23,e23) != e21) | (e23 = op2(e23,e21))) & 61.66/62.11 ((e21 != op2(e20,e20)) | (op2(e20,e21) = e20)) & (e21 = op2(e22,e22))) | 61.66/62.11 ((op2(e22,e22) = e22) & ((op2(e20,e20) != e22) | (e20 = op2(e20,e22))) & 61.66/62.11 ((e22 != op2(e21,e21)) | (e21 = op2(e21,e22))) & 61.66/62.11 ((e22 = op2(e22,e22)) | (op2(e22,e22) != e22)) & 61.66/62.11 ((e23 = op2(e23,e22)) | (op2(e23,e23) != e22))) | 61.66/62.11 (((e23 != op2(e23,e23)) | (op2(e23,e23) = e23)) & 61.66/62.11 ((op2(e22,e22) != e23) | (op2(e22,e23) = e22)) & 61.66/62.11 ((e21 = op2(e21,e23)) | (e23 != op2(e21,e21))) & 61.66/62.11 ((e23 != op2(e20,e20)) | (e20 = op2(e20,e23))) & (op2(e23,e23) = e23)) | 61.66/62.11 (((e22 = op2(e22,e22)) | (e22 != op2(e22,e22))) & 61.66/62.11 ((e23 = op2(e23,e22)) | (op2(e23,e23) != e22)) & 61.66/62.11 ((op2(e21,e22) = e21) | (op2(e21,e21) != e22)) & 61.66/62.11 ((e22 != op2(e20,e20)) | (e20 = op2(e20,e22))) & (e22 = op2(e23,e23))) | 61.66/62.11 ((op2(e23,e23) = e21) & ((e20 = op2(e20,e21)) | (op2(e20,e20) != e21)) & 61.66/62.11 ((e21 = op2(e21,e21)) | (op2(e21,e21) != e21)) & 61.66/62.11 ((e23 = op2(e23,e21)) | (op2(e23,e23) != e21)) & 61.66/62.11 ((op2(e22,e21) = e22) | (op2(e22,e22) != e21))) | 61.66/62.11 ((e20 = op2(e23,e23)) & ((op2(e20,e20) = e20) | (e20 != op2(e20,e20))) & 61.66/62.11 ((e20 != op2(e21,e21)) | (e21 = op2(e21,e20))) & 61.66/62.11 ((e23 = op2(e23,e20)) | (e20 != op2(e23,e23))) & 61.66/62.11 ((op2(e22,e20) = e22) | (e20 != op2(e22,e22)))) | 61.66/62.11 (((op2(e20,e20) != e23) | (op2(e20,e23) = e20)) & 61.66/62.11 ((op2(e22,e22) != e23) | (op2(e22,e23) = e22)) & 61.66/62.11 ((op2(e23,e23) = e23) | (op2(e23,e23) != e23)) & 61.66/62.11 ((op2(e21,e21) != e23) | (e21 = op2(e21,e23))) & (e23 = op2(e22,e22))) | 61.66/62.11 (((op2(e20,e22) = e20) | (e22 != op2(e20,e20))) & 61.66/62.11 ((op2(e22,e22) = e22) | (op2(e22,e22) != e22)) & 61.66/62.11 ((e23 = op2(e23,e22)) | (e22 != op2(e23,e23))) & 61.66/62.11 ((e22 != op2(e21,e21)) | (op2(e21,e22) = e21)) & (op2(e21,e21) = e22)) | 61.66/62.11 (((op2(e23,e23) != e21) | (e23 = op2(e23,e21))) & 61.66/62.11 ((op2(e22,e21) = e22) | (e21 != op2(e22,e22))) & 61.66/62.11 ((e21 = op2(e21,e21)) | (e21 != op2(e21,e21))) & 61.66/62.11 ((op2(e20,e21) = e20) | (e21 != op2(e20,e20))) & (op2(e21,e21) = e21)) | 61.66/62.11 (((op2(e20,e20) = e20) | (e20 != op2(e20,e20))) & 61.66/62.11 ((op2(e21,e20) = e21) | (op2(e21,e21) != e20)) & 61.66/62.11 ((e20 != op2(e22,e22)) | (op2(e22,e20) = e22)) & 61.66/62.11 ((op2(e23,e20) = e23) | (e20 != op2(e23,e23))) & (op2(e21,e21) = e20)) | 61.66/62.11 ((e20 = op2(e20,e20)) & ((e20 != op2(e20,e20)) | (e20 = op2(e20,e20))) & 61.66/62.11 ((e20 != op2(e23,e23)) | (e23 = op2(e23,e20))) & 61.66/62.11 ((e20 != op2(e22,e22)) | (e22 = op2(e22,e20))) & 61.66/62.11 ((e20 != op2(e21,e21)) | (e21 = op2(e21,e20))))))). 61.66/62.11 tff(zf_stmt_7, axiom, 61.66/62.11 (zip_tseitin_49 => 61.66/62.11 ((e22 = op2(e20,e20)) & ((e22 != op2(e21,e21)) | (e21 = op2(e21,e22))) & 61.66/62.11 ((e22 != op2(e23,e23)) | (op2(e23,e22) = e23)) & 61.66/62.11 ((op2(e22,e22) != e22) | (op2(e22,e22) = e22)) & 61.66/62.11 ((op2(e20,e20) != e22) | (op2(e20,e22) = e20))))). 61.66/62.11 tff('129', plain, (e22 = op2(e20, e20) | ~ zip_tseitin_49), 61.66/62.11 inference('cnf', [status(esa)], [zf_stmt_7])). 61.66/62.11 tff('130', plain, (e22 = op2(e20, e20)) <= ((e22 = op2(e20, e20))), 61.66/62.11 inference('split', [status(esa)], ['129'])). 61.66/62.11 tff('131', plain, 61.66/62.11 (e22 = h4(e10)) <= ((h4(e11) = e20) & (e22 = op2(e20, e20))), 61.66/62.11 inference('s_sup+', [status(thm)], ['128', '130'])). 61.66/62.11 tff('132', plain, (e12 = op1(e12, e10) | ~ zip_tseitin_4), 61.66/62.11 inference('cnf', [status(esa)], [zf_stmt_2])). 61.66/62.11 tff('133', plain, (e12 = op1(e12, e10)) <= ((e12 = op1(e12, e10))), 61.66/62.11 inference('split', [status(esa)], ['132'])). 61.66/62.11 tff('134', plain, 61.66/62.11 (h4(op1(e12, e10)) != op2(h4(e12), h4(e10))) 61.66/62.11 <= (~ (h4(op1(e12, e10)) = op2(h4(e12), h4(e10)))), 61.66/62.11 inference('split', [status(esa)], ['114'])). 61.66/62.11 tff('135', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('136', plain, 61.66/62.11 (h4(op1(e12, e10)) != op2(e23, h4(e10))) 61.66/62.11 <= (~ (h4(op1(e12, e10)) = op2(h4(e12), h4(e10)))), 61.66/62.11 inference('demod', [status(thm)], ['134', '135'])). 61.66/62.11 tff('137', plain, 61.66/62.11 (h4(e12) != op2(e23, h4(e10))) 61.66/62.11 <= (~ (h4(op1(e12, e10)) = op2(h4(e12), h4(e10))) & 61.66/62.11 (e12 = op1(e12, e10))), 61.66/62.11 inference('s_sup-', [status(thm)], ['133', '136'])). 61.66/62.11 tff('138', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('139', plain, 61.66/62.11 (e23 != op2(e23, h4(e10))) 61.66/62.11 <= (~ (h4(op1(e12, e10)) = op2(h4(e12), h4(e10))) & 61.66/62.11 (e12 = op1(e12, e10))), 61.66/62.11 inference('demod', [status(thm)], ['137', '138'])). 61.66/62.11 tff('140', plain, 61.66/62.11 (e23 != op2(e23, e22)) 61.66/62.11 <= (~ (h4(op1(e12, e10)) = op2(h4(e12), h4(e10))) & 61.66/62.11 (e12 = op1(e12, e10)) & 61.66/62.11 (h4(e11) = e20) & 61.66/62.11 (e22 = op2(e20, e20))), 61.66/62.11 inference('s_sup-', [status(thm)], ['131', '139'])). 61.66/62.11 tff('141', plain, 61.66/62.11 (e23 != e23) 61.66/62.11 <= (~ (h4(op1(e12, e10)) = op2(h4(e12), h4(e10))) & 61.66/62.11 (e12 = op1(e12, e10)) & 61.66/62.11 (op2(e23, e22) = e23) & 61.66/62.11 (h4(e11) = e20) & 61.66/62.11 (e22 = op2(e20, e20))), 61.66/62.11 inference('s_sup-', [status(thm)], ['125', '140'])). 61.66/62.11 tff('142', plain, 61.66/62.11 (h4(op1(e12, e10)) = op2(h4(e12), h4(e10))) | ~ (op2(e23, e22) = e23) | 61.66/62.11 ~ (e12 = op1(e12, e10)) | ~ (e22 = op2(e20, e20)) | ~ (h4(e11) = e20), 61.66/62.11 inference('simplify', [status(thm)], ['141'])). 61.66/62.11 tff('143', plain, 61.66/62.11 (e23 = op2(e20, e20) 61.66/62.11 | op2(e21, e20) = e23 61.66/62.11 | e23 = op2(e23, e20) 61.66/62.11 | op2(e22, e20) = e23), 61.66/62.11 inference('cnf', [status(esa)], [ax4])). 61.66/62.11 tff('144', plain, h1(e11) = op2(e20, e20), 61.66/62.11 inference('cnf', [status(esa)], [ax14])). 61.66/62.11 tff('145', plain, 61.66/62.11 (e23 = h1(e11) 61.66/62.11 | op2(e21, e20) = e23 61.66/62.11 | e23 = op2(e23, e20) 61.66/62.11 | op2(e22, e20) = e23), 61.66/62.11 inference('demod', [status(thm)], ['143', '144'])). 61.66/62.11 tff('146', plain, (op2(e21, e20) = e23) <= ((op2(e21, e20) = e23)), 61.66/62.11 inference('split', [status(esa)], ['145'])). 61.66/62.11 tff(ax15, axiom, 61.66/62.11 ((op2(op2(e21,e21),op2(e21,e21)) = h2(e10)) & 61.66/62.11 (op2(e21,op2(e21,e21)) = h2(e13)) & (op2(e21,e21) = h2(e11)) & 61.66/62.11 (e21 = h2(e12)))). 61.66/62.11 tff('147', plain, op2(e21, op2(e21, e21)) = h2(e13), 61.66/62.11 inference('cnf', [status(esa)], [ax15])). 61.66/62.11 tff('148', plain, op2(e21, e21) = h2(e11), 61.66/62.11 inference('cnf', [status(esa)], [ax15])). 61.66/62.11 tff('149', plain, op2(e21, h2(e11)) = h2(e13), 61.66/62.11 inference('demod', [status(thm)], ['147', '148'])). 61.66/62.11 tff('150', plain, op2(op2(e22, e22), op2(e22, e22)) = e20, 61.66/62.11 inference('cnf', [status(esa)], [ax13])). 61.66/62.11 tff('151', plain, e21 = op2(e22, e22), 61.66/62.11 inference('cnf', [status(esa)], [ax13])). 61.66/62.11 tff('152', plain, e21 = op2(e22, e22), 61.66/62.11 inference('cnf', [status(esa)], [ax13])). 61.66/62.11 tff('153', plain, op2(e21, e21) = e20, 61.66/62.11 inference('demod', [status(thm)], ['150', '151', '152'])). 61.66/62.11 tff('154', plain, op2(e21, e21) = h2(e11), 61.66/62.11 inference('cnf', [status(esa)], [ax15])). 61.66/62.11 tff('155', plain, e20 = h2(e11), 61.66/62.11 inference('s_sup+', [status(thm)], ['153', '154'])). 61.66/62.11 tff('156', plain, op2(e21, e20) = h2(e13), 61.66/62.11 inference('demod', [status(thm)], ['149', '155'])). 61.66/62.11 tff('157', plain, (e23 = h2(e13)) <= ((op2(e21, e20) = e23)), 61.66/62.11 inference('s_sup+', [status(thm)], ['146', '156'])). 61.66/62.11 tff('158', plain, (e20 = h4(e11)) <= ((e20 = op2(e23, e23))), 61.66/62.11 inference('s_sup+', [status(thm)], ['64', '65'])). 61.66/62.11 tff('159', plain, h4(e13) = op2(e23, h4(e11)), 61.66/62.11 inference('demod', [status(thm)], ['84', '85'])). 61.66/62.11 tff('160', plain, (h4(e13) = op2(e23, e20)) <= ((e20 = op2(e23, e23))), 61.66/62.11 inference('s_sup+', [status(thm)], ['158', '159'])). 61.66/62.11 tff('161', plain, 61.66/62.11 (op2(e23, e23) = e21 61.66/62.11 | op2(e23, e22) = e21 61.66/62.11 | e21 = op2(e23, e21) 61.66/62.11 | op2(e23, e20) = e21), 61.66/62.11 inference('cnf', [status(esa)], [ax4])). 61.66/62.11 tff(ax6, axiom, 61.66/62.11 ((op2(e21,e20) != op2(e20,e20)) & (op2(e20,e20) != op2(e22,e20)) & 61.66/62.11 (op2(e22,e21) != op2(e21,e21)) & (op2(e20,e22) != op2(e23,e22)) & 61.66/62.11 (op2(e21,e22) != op2(e22,e22)) & (op2(e23,e22) != op2(e21,e22)) & 61.66/62.11 (op2(e20,e23) != op2(e22,e23)) & (op2(e20,e23) != op2(e23,e23)) & 61.66/62.11 (op2(e21,e23) != op2(e22,e23)) & (op2(e21,e23) != op2(e23,e23)) & 61.66/62.11 (op2(e20,e20) != op2(e20,e21)) & (op2(e20,e20) != op2(e20,e22)) & 61.66/62.11 (op2(e20,e20) != op2(e20,e23)) & (op2(e21,e20) != op2(e21,e21)) & 61.66/62.11 (op2(e21,e22) != op2(e21,e20)) & (op2(e21,e23) != op2(e21,e20)) & 61.66/62.11 (op2(e22,e22) != op2(e22,e20)) & (op2(e22,e22) != op2(e22,e21)) & 61.66/62.11 (op2(e22,e21) != op2(e22,e23)) & (op2(e22,e23) != op2(e22,e22)) & 61.66/62.11 (op2(e23,e20) != op2(e23,e21)) & (op2(e23,e22) != op2(e23,e20)) & 61.66/62.11 (op2(e23,e20) != op2(e23,e23)) & (op2(e23,e22) != op2(e23,e21)) & 61.66/62.11 (op2(e23,e23) != op2(e23,e22)) & (op2(e23,e23) != op2(e23,e21)) & 61.66/62.11 (op2(e22,e23) != op2(e22,e20)) & (op2(e22,e21) != op2(e22,e20)) & 61.66/62.11 (op2(e21,e23) != op2(e21,e22)) & (op2(e21,e23) != op2(e21,e21)) & 61.66/62.11 (op2(e21,e22) != op2(e21,e21)) & (op2(e20,e22) != op2(e20,e23)) & 61.66/62.11 (op2(e20,e21) != op2(e20,e23)) & (op2(e20,e21) != op2(e20,e22)) & 61.66/62.11 (op2(e22,e23) != op2(e23,e23)) & (op2(e21,e23) != op2(e20,e23)) & 61.66/62.11 (op2(e23,e22) != op2(e22,e22)) & (op2(e22,e22) != op2(e20,e22)) & 61.66/62.11 (op2(e20,e22) != op2(e21,e22)) & (op2(e23,e21) != op2(e22,e21)) & 61.66/62.11 (op2(e21,e21) != op2(e23,e21)) & (op2(e20,e21) != op2(e23,e21)) & 61.66/62.11 (op2(e20,e21) != op2(e22,e21)) & (op2(e20,e21) != op2(e21,e21)) & 61.66/62.11 (op2(e22,e20) != op2(e23,e20)) & (op2(e21,e20) != op2(e23,e20)) & 61.66/62.11 (op2(e21,e20) != op2(e22,e20)) & (op2(e23,e20) != op2(e20,e20)))). 61.66/62.11 tff('162', plain, op2(e23, e22) != op2(e22, e22), 61.66/62.11 inference('cnf', [status(esa)], [ax6])). 61.66/62.11 tff('163', plain, e21 = op2(e22, e22), 61.66/62.11 inference('cnf', [status(esa)], [ax13])). 61.66/62.11 tff('164', plain, op2(e23, e22) != e21, 61.66/62.11 inference('demod', [status(thm)], ['162', '163'])). 61.66/62.11 tff('165', plain, 61.66/62.11 (op2(e23, e23) = e21 | e21 = op2(e23, e21) | op2(e23, e20) = e21), 61.66/62.11 inference('simplify_reflect-', [status(thm)], ['161', '164'])). 61.66/62.11 tff('166', plain, (op2(e23, e20) = e21) <= ((op2(e23, e20) = e21)), 61.66/62.11 inference('split', [status(esa)], ['165'])). 61.66/62.11 tff('167', plain, 61.66/62.11 (h4(e13) = e21) <= ((e20 = op2(e23, e23)) & (op2(e23, e20) = e21)), 61.66/62.11 inference('s_sup+', [status(thm)], ['160', '166'])). 61.66/62.11 tff('168', plain, 61.66/62.11 (e13 = op1(e13, e11) 61.66/62.11 | op1(e13, e11) = e12 61.66/62.11 | op1(e13, e11) = e11 61.66/62.11 | op1(e13, e11) = e10), 61.66/62.11 inference('cnf', [status(esa)], [ax1])). 61.66/62.11 tff('169', plain, op1(e11, e11) != op1(e13, e11), 61.66/62.11 inference('cnf', [status(esa)], [ax5])). 61.66/62.11 tff('170', plain, e10 = op1(e11, e11), 61.66/62.11 inference('demod', [status(thm)], ['4', '5', '6'])). 61.66/62.11 tff('171', plain, e10 != op1(e13, e11), 61.66/62.11 inference('demod', [status(thm)], ['169', '170'])). 61.66/62.11 tff('172', plain, op1(e12, e11) != op1(e13, e11), 61.66/62.11 inference('cnf', [status(esa)], [ax5])). 61.66/62.11 tff('173', plain, op1(e12, e11) = e13, 61.66/62.11 inference('demod', [status(thm)], ['10', '11'])). 61.66/62.11 tff('174', plain, e13 != op1(e13, e11), 61.66/62.11 inference('demod', [status(thm)], ['172', '173'])). 61.66/62.11 tff('175', plain, (op1(e13, e11) = e12 | op1(e13, e11) = e11), 61.66/62.11 inference('simplify_reflect-', [status(thm)], ['168', '171', '174'])). 61.66/62.11 tff('176', plain, (op1(e13, e11) = e12) <= ((op1(e13, e11) = e12)), 61.66/62.11 inference('split', [status(esa)], ['175'])). 61.66/62.11 tff('177', plain, 61.66/62.11 (h4(op1(e13, e11)) != op2(h4(e13), h4(e11))) 61.66/62.11 <= (~ (h4(op1(e13, e11)) = op2(h4(e13), h4(e11)))), 61.66/62.11 inference('split', [status(esa)], ['90'])). 61.66/62.11 tff('178', plain, 61.66/62.11 (h4(e12) != op2(h4(e13), h4(e11))) 61.66/62.11 <= (~ (h4(op1(e13, e11)) = op2(h4(e13), h4(e11))) & 61.66/62.11 (op1(e13, e11) = e12)), 61.66/62.11 inference('s_sup-', [status(thm)], ['176', '177'])). 61.66/62.11 tff('179', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('180', plain, 61.66/62.11 (e23 != op2(h4(e13), h4(e11))) 61.66/62.11 <= (~ (h4(op1(e13, e11)) = op2(h4(e13), h4(e11))) & 61.66/62.11 (op1(e13, e11) = e12)), 61.66/62.11 inference('demod', [status(thm)], ['178', '179'])). 61.66/62.11 tff('181', plain, 61.66/62.11 (e23 != op2(e21, h4(e11))) 61.66/62.11 <= (~ (h4(op1(e13, e11)) = op2(h4(e13), h4(e11))) & 61.66/62.11 (e20 = op2(e23, e23)) & 61.66/62.11 (op2(e23, e20) = e21) & 61.66/62.11 (op1(e13, e11) = e12)), 61.66/62.11 inference('s_sup-', [status(thm)], ['167', '180'])). 61.66/62.11 tff('182', plain, (e20 = h4(e11)) <= ((e20 = op2(e23, e23))), 61.66/62.11 inference('s_sup+', [status(thm)], ['64', '65'])). 61.66/62.11 tff('183', plain, op2(e21, e20) = h2(e13), 61.66/62.11 inference('demod', [status(thm)], ['149', '155'])). 61.66/62.11 tff('184', plain, 61.66/62.11 (e23 != h2(e13)) 61.66/62.11 <= (~ (h4(op1(e13, e11)) = op2(h4(e13), h4(e11))) & 61.66/62.11 (e20 = op2(e23, e23)) & 61.66/62.11 (op2(e23, e20) = e21) & 61.66/62.11 (op1(e13, e11) = e12)), 61.66/62.11 inference('demod', [status(thm)], ['181', '182', '183'])). 61.66/62.11 tff('185', plain, 61.66/62.11 (e23 != e23) 61.66/62.11 <= (~ (h4(op1(e13, e11)) = op2(h4(e13), h4(e11))) & 61.66/62.11 (op2(e21, e20) = e23) & 61.66/62.11 (e20 = op2(e23, e23)) & 61.66/62.11 (op2(e23, e20) = e21) & 61.66/62.11 (op1(e13, e11) = e12)), 61.66/62.11 inference('s_sup-', [status(thm)], ['157', '184'])). 61.66/62.11 tff('186', plain, 61.66/62.11 (h4(op1(e13, e11)) = op2(h4(e13), h4(e11))) | ~ (op2(e21, e20) = e23) | 61.66/62.11 ~ (op1(e13, e11) = e12) | ~ (e20 = op2(e23, e23)) | 61.66/62.11 ~ (op2(e23, e20) = e21), inference('simplify', [status(thm)], ['185'])). 61.66/62.11 tff('187', plain, 61.66/62.11 (e22 = h4(e10)) <= ((h4(e11) = e20) & (e22 = op2(e20, e20))), 61.66/62.11 inference('s_sup+', [status(thm)], ['128', '130'])). 61.66/62.11 tff('188', plain, 61.66/62.11 (h4(op1(e10, e12)) != op2(h4(e10), h4(e12)) 61.66/62.11 | op2(h4(e11), h4(e10)) != h4(op1(e11, e10)) 61.66/62.11 | h4(op1(e11, e11)) != op2(h4(e11), h4(e11)) 61.66/62.11 | h4(op1(e11, e12)) != op2(h4(e11), h4(e12)) 61.66/62.11 | op2(h4(e11), h4(e13)) != h4(op1(e11, e13)) 61.66/62.11 | h4(op1(e12, e12)) != op2(h4(e12), h4(e12)) 61.66/62.11 | op2(h4(e12), h4(e13)) != h4(op1(e12, e13)) 61.66/62.11 | h4(op1(e13, e11)) != op2(h4(e13), h4(e11)) 61.66/62.11 | op2(h4(e13), h4(e12)) != h4(op1(e13, e12)) 61.66/62.11 | h4(e10) != e20 61.66/62.11 | h4(e11) != e23 61.66/62.11 | e22 != h4(e10) 61.66/62.11 | h4(e11) != e21 61.66/62.11 | op2(h4(e13), h4(e13)) != h4(op1(e13, e13)) 61.66/62.11 | op2(h4(e13), h4(e10)) != h4(op1(e13, e10)) 61.66/62.11 | op2(h4(e12), h4(e11)) != h4(op1(e12, e11)) 61.66/62.11 | h4(op1(e12, e10)) != op2(h4(e12), h4(e10)) 61.66/62.11 | h4(op1(e10, e13)) != op2(h4(e10), h4(e13)) 61.66/62.11 | op2(h4(e10), h4(e11)) != h4(op1(e10, e11)) 61.66/62.11 | op2(h4(e10), h4(e10)) != h4(op1(e10, e10))), 61.66/62.11 inference('cnf', [status(esa)], [zf_stmt_5])). 61.66/62.11 tff('189', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('190', plain, e10 = op1(e11, e11), 61.66/62.11 inference('demod', [status(thm)], ['4', '5', '6'])). 61.66/62.11 tff('191', plain, op2(h4(e11), h4(e11)) = h4(e10), 61.66/62.11 inference('demod', [status(thm)], ['72', '73', '74'])). 61.66/62.11 tff('192', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('193', plain, e11 = op1(e12, e12), 61.66/62.11 inference('cnf', [status(esa)], [ax12])). 61.66/62.11 tff('194', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('195', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('196', plain, op2(e23, e23) = h4(e11), 61.66/62.11 inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('197', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('198', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('199', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('200', plain, h4(e13) = op2(e23, h4(e11)), 61.66/62.11 inference('demod', [status(thm)], ['84', '85'])). 61.66/62.11 tff('201', plain, op1(e12, e11) = e13, 61.66/62.11 inference('demod', [status(thm)], ['10', '11'])). 61.66/62.11 tff('202', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('203', plain, 61.66/62.11 (h4(op1(e10, e12)) != op2(h4(e10), e23) 61.66/62.11 | op2(h4(e11), h4(e10)) != h4(op1(e11, e10)) 61.66/62.11 | h4(e10) != h4(e10) 61.66/62.11 | h4(op1(e11, e12)) != op2(h4(e11), e23) 61.66/62.11 | op2(h4(e11), h4(e13)) != h4(op1(e11, e13)) 61.66/62.11 | h4(e11) != h4(e11) 61.66/62.11 | op2(e23, h4(e13)) != h4(op1(e12, e13)) 61.66/62.11 | h4(op1(e13, e11)) != op2(h4(e13), h4(e11)) 61.66/62.11 | op2(h4(e13), e23) != h4(op1(e13, e12)) 61.66/62.11 | h4(e10) != e20 61.66/62.11 | h4(e11) != e23 61.66/62.11 | e22 != h4(e10) 61.66/62.11 | h4(e11) != e21 61.66/62.11 | op2(h4(e13), h4(e13)) != h4(op1(e13, e13)) 61.66/62.11 | op2(h4(e13), h4(e10)) != h4(op1(e13, e10)) 61.66/62.11 | h4(e13) != h4(e13) 61.66/62.11 | h4(op1(e12, e10)) != op2(e23, h4(e10)) 61.66/62.11 | h4(op1(e10, e13)) != op2(h4(e10), h4(e13)) 61.66/62.11 | op2(h4(e10), h4(e11)) != h4(op1(e10, e11)) 61.66/62.11 | op2(h4(e10), h4(e10)) != h4(op1(e10, e10))), 61.66/62.11 inference('demod', [status(thm)], 61.66/62.11 ['188', '189', '190', '191', '192', '193', '194', '195', 61.66/62.11 '196', '197', '198', '199', '200', '201', '202'])). 61.66/62.11 tff('204', plain, 61.66/62.11 (op2(h4(e10), h4(e10)) != h4(op1(e10, e10)) 61.66/62.11 | op2(h4(e10), h4(e11)) != h4(op1(e10, e11)) 61.66/62.11 | h4(op1(e10, e13)) != op2(h4(e10), h4(e13)) 61.66/62.11 | h4(op1(e12, e10)) != op2(e23, h4(e10)) 61.66/62.11 | op2(h4(e13), h4(e10)) != h4(op1(e13, e10)) 61.66/62.11 | op2(h4(e13), h4(e13)) != h4(op1(e13, e13)) 61.66/62.11 | h4(e11) != e21 61.66/62.11 | e22 != h4(e10) 61.66/62.11 | h4(e11) != e23 61.66/62.11 | h4(e10) != e20 61.66/62.11 | op2(h4(e13), e23) != h4(op1(e13, e12)) 61.66/62.11 | h4(op1(e13, e11)) != op2(h4(e13), h4(e11)) 61.66/62.11 | op2(e23, h4(e13)) != h4(op1(e12, e13)) 61.66/62.11 | op2(h4(e11), h4(e13)) != h4(op1(e11, e13)) 61.66/62.11 | h4(op1(e11, e12)) != op2(h4(e11), e23) 61.66/62.11 | op2(h4(e11), h4(e10)) != h4(op1(e11, e10)) 61.66/62.11 | h4(op1(e10, e12)) != op2(h4(e10), e23)), 61.66/62.11 inference('simplify', [status(thm)], ['203'])). 61.66/62.11 tff('205', plain, (e22 != h4(e10)) <= (~ (e22 = h4(e10))), 61.66/62.11 inference('split', [status(esa)], ['204'])). 61.66/62.11 tff('206', plain, 61.66/62.11 (e22 != e22) 61.66/62.11 <= (~ (e22 = h4(e10)) & (h4(e11) = e20) & (e22 = op2(e20, e20))), 61.66/62.11 inference('s_sup-', [status(thm)], ['187', '205'])). 61.66/62.11 tff('207', plain, 61.66/62.11 (e22 = h4(e10)) | ~ (e22 = op2(e20, e20)) | ~ (h4(e11) = e20), 61.66/62.11 inference('simplify', [status(thm)], ['206'])). 61.66/62.11 tff('208', plain, 61.66/62.11 (op2(e22, e21) = e22 61.66/62.11 | op2(e22, e23) = e22 61.66/62.11 | e22 = op2(e22, e22) 61.66/62.11 | e22 = op2(e22, e20)), 61.66/62.11 inference('cnf', [status(esa)], [ax4])). 61.66/62.11 tff('209', plain, e21 = op2(e22, e22), 61.66/62.11 inference('cnf', [status(esa)], [ax13])). 61.66/62.11 tff('210', plain, 61.66/62.11 (op2(e22, e21) = e22 61.66/62.11 | op2(e22, e23) = e22 61.66/62.11 | e22 = e21 61.66/62.11 | e22 = op2(e22, e20)), 61.66/62.11 inference('demod', [status(thm)], ['208', '209'])). 61.66/62.11 tff('211', plain, e21 != e22, inference('cnf', [status(esa)], [ax8])). 61.66/62.11 tff('212', plain, 61.66/62.11 (op2(e22, e21) = e22 | op2(e22, e23) = e22 | e22 = op2(e22, e20)), 61.66/62.11 inference('simplify_reflect-', [status(thm)], ['210', '211'])). 61.66/62.11 tff('213', plain, (op2(e22, e23) = e22) <= ((op2(e22, e23) = e22)), 61.66/62.11 inference('split', [status(esa)], ['212'])). 61.66/62.11 tff('214', plain, 61.66/62.11 (e22 = h4(e10)) <= ((h4(e11) = e20) & (e22 = op2(e20, e20))), 61.66/62.11 inference('s_sup+', [status(thm)], ['128', '130'])). 61.66/62.11 tff(zf_stmt_8, axiom, 61.66/62.11 (zip_tseitin_13 => 61.66/62.11 (((e12 != op1(e12,e10)) | (e10 != op1(e12,e12))) & 61.66/62.11 ((e13 != op1(e12,e12)) | (e12 != op1(e12,e13))) & 61.66/62.11 ((e12 != op1(e12,e12)) | (op1(e12,e12) != e12)) & 61.66/62.11 ((e12 != op1(e12,e11)) | (e11 != op1(e12,e12))) & (e10 = op1(e12,e10)) & 61.66/62.11 (e10 = op1(e10,e12))))). 61.66/62.11 tff('215', plain, (e10 = op1(e10, e12) | ~ zip_tseitin_13), 61.66/62.11 inference('cnf', [status(esa)], [zf_stmt_8])). 61.66/62.11 tff('216', plain, (e10 = op1(e10, e12)) <= ((e10 = op1(e10, e12))), 61.66/62.11 inference('split', [status(esa)], ['215'])). 61.66/62.11 tff('217', plain, 61.66/62.11 (h4(op1(e10, e12)) != op2(h4(e10), h4(e12))) 61.66/62.11 <= (~ (h4(op1(e10, e12)) = op2(h4(e10), h4(e12)))), 61.66/62.11 inference('split', [status(esa)], ['114'])). 61.66/62.11 tff('218', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('219', plain, 61.66/62.11 (h4(op1(e10, e12)) != op2(h4(e10), e23)) 61.66/62.11 <= (~ (h4(op1(e10, e12)) = op2(h4(e10), h4(e12)))), 61.66/62.11 inference('demod', [status(thm)], ['217', '218'])). 61.66/62.11 tff('220', plain, 61.66/62.11 (h4(e10) != op2(h4(e10), e23)) 61.66/62.11 <= (~ (h4(op1(e10, e12)) = op2(h4(e10), h4(e12))) & 61.66/62.11 (e10 = op1(e10, e12))), 61.66/62.11 inference('s_sup-', [status(thm)], ['216', '219'])). 61.66/62.11 tff('221', plain, 61.66/62.11 (e22 != op2(e22, e23)) 61.66/62.11 <= (~ (h4(op1(e10, e12)) = op2(h4(e10), h4(e12))) & 61.66/62.11 (e10 = op1(e10, e12)) & 61.66/62.11 (h4(e11) = e20) & 61.66/62.11 (e22 = op2(e20, e20))), 61.66/62.11 inference('s_sup-', [status(thm)], ['214', '220'])). 61.66/62.11 tff('222', plain, 61.66/62.11 (e22 != e22) 61.66/62.11 <= (~ (h4(op1(e10, e12)) = op2(h4(e10), h4(e12))) & 61.66/62.11 (e10 = op1(e10, e12)) & 61.66/62.11 (op2(e22, e23) = e22) & 61.66/62.11 (h4(e11) = e20) & 61.66/62.11 (e22 = op2(e20, e20))), 61.66/62.11 inference('s_sup-', [status(thm)], ['213', '221'])). 61.66/62.11 tff('223', plain, 61.66/62.11 (h4(op1(e10, e12)) = op2(h4(e10), h4(e12))) | ~ (e22 = op2(e20, e20)) | 61.66/62.11 ~ (e10 = op1(e10, e12)) | ~ (h4(e11) = e20) | ~ (op2(e22, e23) = e22), 61.66/62.11 inference('simplify', [status(thm)], ['222'])). 61.66/62.11 tff('224', plain, (e20 = h4(e11)) <= ((h4(e11) = e20)), 61.66/62.11 inference('split', [status(esa)], ['110'])). 61.66/62.11 tff('225', plain, h4(e13) = op2(e23, h4(e11)), 61.66/62.11 inference('demod', [status(thm)], ['84', '85'])). 61.66/62.11 tff('226', plain, (h4(e13) = op2(e23, e20)) <= ((h4(e11) = e20)), 61.66/62.11 inference('s_sup+', [status(thm)], ['224', '225'])). 61.66/62.11 tff('227', plain, (op2(e23, e20) = e21) <= ((op2(e23, e20) = e21)), 61.66/62.11 inference('split', [status(esa)], ['165'])). 61.66/62.11 tff('228', plain, 61.66/62.11 (h4(e13) = e21) <= ((h4(e11) = e20) & (op2(e23, e20) = e21)), 61.66/62.11 inference('s_sup+', [status(thm)], ['226', '227'])). 61.66/62.11 tff('229', plain, 61.66/62.11 (e22 = h4(e10)) <= ((h4(e11) = e20) & (e22 = op2(e20, e20))), 61.66/62.11 inference('s_sup+', [status(thm)], ['128', '130'])). 61.66/62.11 tff('230', plain, 61.66/62.11 (op1(e10, e10) = e13 61.66/62.11 | op1(e10, e10) = e12 61.66/62.11 | op1(e10, e10) = e11 61.66/62.11 | e10 = op1(e10, e10)), 61.66/62.11 inference('cnf', [status(esa)], [ax1])). 61.66/62.11 tff('231', plain, (op1(e10, e10) = e13) <= ((e13 = op1(e10, e10))), 61.66/62.11 inference('split', [status(esa)], ['230'])). 61.66/62.11 tff('232', plain, 61.66/62.11 (op2(h4(e10), h4(e10)) != h4(op1(e10, e10))) 61.66/62.11 <= (~ (op2(h4(e10), h4(e10)) = h4(op1(e10, e10)))), 61.66/62.11 inference('split', [status(esa)], ['90'])). 61.66/62.11 tff('233', plain, 61.66/62.11 (op2(h4(e10), h4(e10)) != h4(e13)) 61.66/62.11 <= (~ (op2(h4(e10), h4(e10)) = h4(op1(e10, e10))) & 61.66/62.11 (e13 = op1(e10, e10))), 61.66/62.11 inference('s_sup-', [status(thm)], ['231', '232'])). 61.66/62.11 tff('234', plain, 61.66/62.11 (op2(e22, e22) != h4(e13)) 61.66/62.11 <= (~ (op2(h4(e10), h4(e10)) = h4(op1(e10, e10))) & 61.66/62.11 (e13 = op1(e10, e10)) & 61.66/62.11 (h4(e11) = e20) & 61.66/62.11 (e22 = op2(e20, e20))), 61.66/62.11 inference('s_sup-', [status(thm)], ['229', '233'])). 61.66/62.11 tff('235', plain, e21 = op2(e22, e22), 61.66/62.11 inference('cnf', [status(esa)], [ax13])). 61.66/62.11 tff('236', plain, 61.66/62.11 (e21 != h4(e13)) 61.66/62.11 <= (~ (op2(h4(e10), h4(e10)) = h4(op1(e10, e10))) & 61.66/62.11 (e13 = op1(e10, e10)) & 61.66/62.11 (h4(e11) = e20) & 61.66/62.11 (e22 = op2(e20, e20))), 61.66/62.11 inference('demod', [status(thm)], ['234', '235'])). 61.66/62.11 tff('237', plain, 61.66/62.11 (e21 != e21) 61.66/62.11 <= (~ (op2(h4(e10), h4(e10)) = h4(op1(e10, e10))) & 61.66/62.11 (e13 = op1(e10, e10)) & 61.66/62.11 (h4(e11) = e20) & 61.66/62.11 (op2(e23, e20) = e21) & 61.66/62.11 (e22 = op2(e20, e20))), 61.66/62.11 inference('s_sup-', [status(thm)], ['228', '236'])). 61.66/62.11 tff('238', plain, 61.66/62.11 (op2(h4(e10), h4(e10)) = h4(op1(e10, e10))) | ~ (e22 = op2(e20, e20)) | 61.66/62.11 ~ (e13 = op1(e10, e10)) | ~ (h4(e11) = e20) | ~ (op2(e23, e20) = e21), 61.66/62.11 inference('simplify', [status(thm)], ['237'])). 61.66/62.11 tff('239', plain, 61.66/62.11 (op2(e21, e20) = e22 61.66/62.11 | op2(e21, e21) = e22 61.66/62.11 | op2(e21, e23) = e22 61.66/62.11 | op2(e21, e22) = e22), 61.66/62.11 inference('cnf', [status(esa)], [ax4])). 61.66/62.11 tff('240', plain, op2(e21, e21) = h2(e11), 61.66/62.11 inference('cnf', [status(esa)], [ax15])). 61.66/62.11 tff('241', plain, 61.66/62.11 (op2(e21, e20) = e22 61.66/62.11 | h2(e11) = e22 61.66/62.11 | op2(e21, e23) = e22 61.66/62.11 | op2(e21, e22) = e22), 61.66/62.11 inference('demod', [status(thm)], ['239', '240'])). 61.66/62.11 tff('242', plain, (op2(e21, e22) = e22) <= ((op2(e21, e22) = e22)), 61.66/62.11 inference('split', [status(esa)], ['241'])). 61.66/62.11 tff('243', plain, 61.66/62.11 (h4(e13) = e21) <= ((h4(e11) = e20) & (op2(e23, e20) = e21)), 61.66/62.11 inference('s_sup+', [status(thm)], ['226', '227'])). 61.66/62.11 tff('244', plain, 61.66/62.11 (e22 = h4(e10)) <= ((h4(e11) = e20) & (e22 = op2(e20, e20))), 61.66/62.11 inference('s_sup+', [status(thm)], ['128', '130'])). 61.66/62.11 tff(zf_stmt_9, axiom, 61.66/62.11 (zip_tseitin_0 => 61.66/62.11 ((op1(e10,e13) = e10) & ((op1(e13,e13) != e10) | (op1(e13,e10) != e13)) & 61.66/62.11 ((op1(e13,e13) != e13) | (e13 != op1(e13,e13))) & 61.66/62.11 ((op1(e13,e12) != e13) | (e12 != op1(e13,e13))) & 61.66/62.11 ((op1(e13,e11) != e13) | (e11 != op1(e13,e13))) & (op1(e13,e10) = e10)))). 61.66/62.11 tff('245', plain, (op1(e13, e10) = e10 | ~ zip_tseitin_0), 61.66/62.11 inference('cnf', [status(esa)], [zf_stmt_9])). 61.66/62.11 tff('246', plain, (op1(e13, e10) = e10) <= ((op1(e13, e10) = e10)), 61.66/62.11 inference('split', [status(esa)], ['245'])). 61.66/62.11 tff('247', plain, 61.66/62.11 (op2(h4(e13), h4(e10)) != h4(op1(e13, e10))) 61.66/62.11 <= (~ (op2(h4(e13), h4(e10)) = h4(op1(e13, e10)))), 61.66/62.11 inference('split', [status(esa)], ['90'])). 61.66/62.11 tff('248', plain, 61.66/62.11 (op2(h4(e13), h4(e10)) != h4(e10)) 61.66/62.11 <= (~ (op2(h4(e13), h4(e10)) = h4(op1(e13, e10))) & 61.66/62.11 (op1(e13, e10) = e10)), 61.66/62.11 inference('s_sup-', [status(thm)], ['246', '247'])). 61.66/62.11 tff('249', plain, 61.66/62.11 (op2(h4(e13), e22) != e22) 61.66/62.11 <= (~ (op2(h4(e13), h4(e10)) = h4(op1(e13, e10))) & 61.66/62.11 (op1(e13, e10) = e10) & 61.66/62.11 (h4(e11) = e20) & 61.66/62.11 (e22 = op2(e20, e20))), 61.66/62.11 inference('s_sup-', [status(thm)], ['244', '248'])). 61.66/62.11 tff('250', plain, 61.66/62.11 (op2(e21, e22) != e22) 61.66/62.11 <= (~ (op2(h4(e13), h4(e10)) = h4(op1(e13, e10))) & 61.66/62.11 (op1(e13, e10) = e10) & 61.66/62.11 (h4(e11) = e20) & 61.66/62.11 (op2(e23, e20) = e21) & 61.66/62.11 (e22 = op2(e20, e20))), 61.66/62.11 inference('s_sup-', [status(thm)], ['243', '249'])). 61.66/62.11 tff('251', plain, 61.66/62.11 (e22 != e22) 61.66/62.11 <= (~ (op2(h4(e13), h4(e10)) = h4(op1(e13, e10))) & 61.66/62.11 (op1(e13, e10) = e10) & 61.66/62.11 (op2(e21, e22) = e22) & 61.66/62.11 (h4(e11) = e20) & 61.66/62.11 (op2(e23, e20) = e21) & 61.66/62.11 (e22 = op2(e20, e20))), 61.66/62.11 inference('s_sup-', [status(thm)], ['242', '250'])). 61.66/62.11 tff('252', plain, 61.66/62.11 (op2(h4(e13), h4(e10)) = h4(op1(e13, e10))) | ~ (e22 = op2(e20, e20)) | 61.66/62.11 ~ (h4(e11) = e20) | ~ (op2(e21, e22) = e22) | ~ (op1(e13, e10) = e10) | 61.66/62.11 ~ (op2(e23, e20) = e21), inference('simplify', [status(thm)], ['251'])). 61.66/62.11 tff('253', plain, 61.66/62.11 (h4(e13) = e21) <= ((h4(e11) = e20) & (op2(e23, e20) = e21)), 61.66/62.11 inference('s_sup+', [status(thm)], ['226', '227'])). 61.66/62.11 tff('254', plain, 61.66/62.11 (e22 = h4(e10)) <= ((h4(e11) = e20) & (e22 = op2(e20, e20))), 61.66/62.11 inference('s_sup+', [status(thm)], ['128', '130'])). 61.66/62.11 tff('255', plain, (op1(e10, e13) = e12) <= ((op1(e10, e13) = e12)), 61.66/62.11 inference('split', [status(esa)], ['0'])). 61.66/62.11 tff('256', plain, 61.66/62.11 (h4(op1(e10, e13)) != op2(h4(e10), h4(e13))) 61.66/62.11 <= (~ (h4(op1(e10, e13)) = op2(h4(e10), h4(e13)))), 61.66/62.11 inference('split', [status(esa)], ['90'])). 61.66/62.11 tff('257', plain, 61.66/62.11 (h4(e12) != op2(h4(e10), h4(e13))) 61.66/62.11 <= (~ (h4(op1(e10, e13)) = op2(h4(e10), h4(e13))) & 61.66/62.11 (op1(e10, e13) = e12)), 61.66/62.11 inference('s_sup-', [status(thm)], ['255', '256'])). 61.66/62.11 tff('258', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('259', plain, 61.66/62.11 (e23 != op2(h4(e10), h4(e13))) 61.66/62.11 <= (~ (h4(op1(e10, e13)) = op2(h4(e10), h4(e13))) & 61.66/62.11 (op1(e10, e13) = e12)), 61.66/62.11 inference('demod', [status(thm)], ['257', '258'])). 61.66/62.11 tff('260', plain, 61.66/62.11 (e23 != op2(e22, h4(e13))) 61.66/62.11 <= (~ (h4(op1(e10, e13)) = op2(h4(e10), h4(e13))) & 61.66/62.11 (h4(e11) = e20) & 61.66/62.11 (op1(e10, e13) = e12) & 61.66/62.11 (e22 = op2(e20, e20))), 61.66/62.11 inference('s_sup-', [status(thm)], ['254', '259'])). 61.66/62.11 tff('261', plain, 61.66/62.11 (e23 != op2(e22, e21)) 61.66/62.11 <= (~ (h4(op1(e10, e13)) = op2(h4(e10), h4(e13))) & 61.66/62.11 (h4(e11) = e20) & 61.66/62.11 (op2(e23, e20) = e21) & 61.66/62.11 (op1(e10, e13) = e12) & 61.66/62.11 (e22 = op2(e20, e20))), 61.66/62.11 inference('s_sup-', [status(thm)], ['253', '260'])). 61.66/62.11 tff('262', plain, op2(e22, op2(e22, e22)) = e23, 61.66/62.11 inference('cnf', [status(esa)], [ax13])). 61.66/62.11 tff(ax16, axiom, 61.66/62.11 ((h3(e10) = op2(op2(e22,e22),op2(e22,e22))) & (op2(e22,e22) = h3(e11)) & 61.66/62.11 (op2(e22,op2(e22,e22)) = h3(e13)) & (h3(e12) = e22))). 61.66/62.11 tff('263', plain, op2(e22, e22) = h3(e11), 61.66/62.11 inference('cnf', [status(esa)], [ax16])). 61.66/62.11 tff('264', plain, op2(e22, h3(e11)) = e23, 61.66/62.11 inference('demod', [status(thm)], ['262', '263'])). 61.66/62.11 tff('265', plain, e21 = op2(e22, e22), 61.66/62.11 inference('cnf', [status(esa)], [ax13])). 61.66/62.11 tff('266', plain, op2(e22, e22) = h3(e11), 61.66/62.11 inference('cnf', [status(esa)], [ax16])). 61.66/62.11 tff('267', plain, e21 = h3(e11), 61.66/62.11 inference('s_sup+', [status(thm)], ['265', '266'])). 61.66/62.11 tff('268', plain, op2(e22, e21) = e23, 61.66/62.11 inference('demod', [status(thm)], ['264', '267'])). 61.66/62.11 tff('269', plain, 61.66/62.11 (e23 != e23) 61.66/62.11 <= (~ (h4(op1(e10, e13)) = op2(h4(e10), h4(e13))) & 61.66/62.11 (h4(e11) = e20) & 61.66/62.11 (op2(e23, e20) = e21) & 61.66/62.11 (op1(e10, e13) = e12) & 61.66/62.11 (e22 = op2(e20, e20))), 61.66/62.11 inference('demod', [status(thm)], ['261', '268'])). 61.66/62.11 tff('270', plain, 61.66/62.11 (h4(op1(e10, e13)) = op2(h4(e10), h4(e13))) | ~ (e22 = op2(e20, e20)) | 61.66/62.11 ~ (op1(e10, e13) = e12) | ~ (h4(e11) = e20) | ~ (op2(e23, e20) = e21), 61.66/62.11 inference('simplify', [status(thm)], ['269'])). 61.66/62.11 tff('271', plain, 61.66/62.11 (e22 = h4(e10)) <= ((h4(e11) = e20) & (e22 = op2(e20, e20))), 61.66/62.11 inference('s_sup+', [status(thm)], ['128', '130'])). 61.66/62.11 tff('272', plain, 61.66/62.11 (e22 = op2(e23, e20) 61.66/62.11 | op2(e23, e22) = e22 61.66/62.11 | e22 = op2(e23, e23) 61.66/62.11 | op2(e23, e21) = e22), 61.66/62.11 inference('cnf', [status(esa)], [ax4])). 61.66/62.11 tff('273', plain, (op2(e23, e21) = e22) <= ((op2(e23, e21) = e22)), 61.66/62.11 inference('split', [status(esa)], ['272'])). 61.66/62.11 tff('274', plain, 61.66/62.11 (h4(e13) = e21) <= ((h4(e11) = e20) & (op2(e23, e20) = e21)), 61.66/62.11 inference('s_sup+', [status(thm)], ['226', '227'])). 61.66/62.11 tff('275', plain, 61.66/62.11 (op1(e12, e13) = e10 61.66/62.11 | op1(e12, e13) = e13 61.66/62.11 | op1(e12, e13) = e12 61.66/62.11 | e11 = op1(e12, e13)), 61.66/62.11 inference('cnf', [status(esa)], [ax1])). 61.66/62.11 tff('276', plain, op1(e12, e12) != op1(e12, e13), 61.66/62.11 inference('cnf', [status(esa)], [ax5])). 61.66/62.11 tff('277', plain, e11 = op1(e12, e12), 61.66/62.11 inference('cnf', [status(esa)], [ax12])). 61.66/62.11 tff('278', plain, e11 != op1(e12, e13), 61.66/62.11 inference('demod', [status(thm)], ['276', '277'])). 61.66/62.11 tff('279', plain, op1(e12, e11) != op1(e12, e13), 61.66/62.11 inference('cnf', [status(esa)], [ax5])). 61.66/62.11 tff('280', plain, op1(e12, e11) = e13, 61.66/62.11 inference('demod', [status(thm)], ['10', '11'])). 61.66/62.11 tff('281', plain, e13 != op1(e12, e13), 61.66/62.11 inference('demod', [status(thm)], ['279', '280'])). 61.66/62.11 tff('282', plain, (op1(e12, e13) = e10 | op1(e12, e13) = e12), 61.66/62.11 inference('simplify_reflect-', [status(thm)], ['275', '278', '281'])). 61.66/62.11 tff('283', plain, (op1(e12, e13) = e10) <= ((op1(e12, e13) = e10)), 61.66/62.11 inference('split', [status(esa)], ['282'])). 61.66/62.11 tff('284', plain, 61.66/62.11 (op2(h4(e12), h4(e13)) != h4(op1(e12, e13))) 61.66/62.11 <= (~ (op2(h4(e12), h4(e13)) = h4(op1(e12, e13)))), 61.66/62.11 inference('split', [status(esa)], ['114'])). 61.66/62.11 tff('285', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('286', plain, 61.66/62.11 (op2(e23, h4(e13)) != h4(op1(e12, e13))) 61.66/62.11 <= (~ (op2(h4(e12), h4(e13)) = h4(op1(e12, e13)))), 61.66/62.11 inference('demod', [status(thm)], ['284', '285'])). 61.66/62.11 tff('287', plain, 61.66/62.11 (op2(e23, h4(e13)) != h4(e10)) 61.66/62.11 <= (~ (op2(h4(e12), h4(e13)) = h4(op1(e12, e13))) & 61.66/62.11 (op1(e12, e13) = e10)), 61.66/62.11 inference('s_sup-', [status(thm)], ['283', '286'])). 61.66/62.11 tff('288', plain, 61.66/62.11 (op2(e23, e21) != h4(e10)) 61.66/62.11 <= (~ (op2(h4(e12), h4(e13)) = h4(op1(e12, e13))) & 61.66/62.11 (h4(e11) = e20) & 61.66/62.11 (op2(e23, e20) = e21) & 61.66/62.11 (op1(e12, e13) = e10)), 61.66/62.11 inference('s_sup-', [status(thm)], ['274', '287'])). 61.66/62.11 tff('289', plain, 61.66/62.11 (e22 != h4(e10)) 61.66/62.11 <= (~ (op2(h4(e12), h4(e13)) = h4(op1(e12, e13))) & 61.66/62.11 (op2(e23, e21) = e22) & 61.66/62.11 (h4(e11) = e20) & 61.66/62.11 (op2(e23, e20) = e21) & 61.66/62.11 (op1(e12, e13) = e10)), 61.66/62.11 inference('s_sup-', [status(thm)], ['273', '288'])). 61.66/62.11 tff('290', plain, 61.66/62.11 (e22 != e22) 61.66/62.11 <= (~ (op2(h4(e12), h4(e13)) = h4(op1(e12, e13))) & 61.66/62.11 (op2(e23, e21) = e22) & 61.66/62.11 (h4(e11) = e20) & 61.66/62.11 (op2(e23, e20) = e21) & 61.66/62.11 (op1(e12, e13) = e10) & 61.66/62.11 (e22 = op2(e20, e20))), 61.66/62.11 inference('s_sup-', [status(thm)], ['271', '289'])). 61.66/62.11 tff('291', plain, 61.66/62.11 (op2(h4(e12), h4(e13)) = h4(op1(e12, e13))) | ~ (e22 = op2(e20, e20)) | 61.66/62.11 ~ (op1(e12, e13) = e10) | ~ (h4(e11) = e20) | ~ (op2(e23, e21) = e22) | 61.66/62.11 ~ (op2(e23, e20) = e21), inference('simplify', [status(thm)], ['290'])). 61.66/62.11 tff('292', plain, 61.66/62.11 (e20 = op2(e20, e20) 61.66/62.11 | op2(e21, e20) = e20 61.66/62.11 | e20 = op2(e22, e20) 61.66/62.11 | op2(e23, e20) = e20), 61.66/62.11 inference('cnf', [status(esa)], [ax4])). 61.66/62.11 tff('293', plain, h1(e11) = op2(e20, e20), 61.66/62.11 inference('cnf', [status(esa)], [ax14])). 61.66/62.11 tff('294', plain, 61.66/62.11 (e20 = h1(e11) 61.66/62.11 | op2(e21, e20) = e20 61.66/62.11 | e20 = op2(e22, e20) 61.66/62.11 | op2(e23, e20) = e20), 61.66/62.11 inference('demod', [status(thm)], ['292', '293'])). 61.66/62.11 tff('295', plain, (e20 = op2(e22, e20)) <= ((e20 = op2(e22, e20))), 61.66/62.11 inference('split', [status(esa)], ['294'])). 61.66/62.11 tff('296', plain, 61.66/62.11 (e22 = h4(e10)) <= ((h4(e11) = e20) & (e22 = op2(e20, e20))), 61.66/62.11 inference('s_sup+', [status(thm)], ['128', '130'])). 61.66/62.11 tff('297', plain, (e11 = op1(e10, e11) | ~ zip_tseitin_1), 61.66/62.11 inference('cnf', [status(esa)], [zf_stmt_4])). 61.66/62.11 tff('298', plain, (e11 = op1(e10, e11)) <= ((e11 = op1(e10, e11))), 61.66/62.11 inference('split', [status(esa)], ['297'])). 61.66/62.11 tff('299', plain, 61.66/62.11 (op2(h4(e10), h4(e11)) != h4(op1(e10, e11))) 61.66/62.11 <= (~ (op2(h4(e10), h4(e11)) = h4(op1(e10, e11)))), 61.66/62.11 inference('split', [status(esa)], ['90'])). 61.66/62.11 tff('300', plain, 61.66/62.11 (op2(h4(e10), h4(e11)) != h4(e11)) 61.66/62.11 <= (~ (op2(h4(e10), h4(e11)) = h4(op1(e10, e11))) & 61.66/62.11 (e11 = op1(e10, e11))), 61.66/62.11 inference('s_sup-', [status(thm)], ['298', '299'])). 61.66/62.11 tff('301', plain, 61.66/62.11 (op2(e22, h4(e11)) != h4(e11)) 61.66/62.11 <= (~ (op2(h4(e10), h4(e11)) = h4(op1(e10, e11))) & 61.66/62.11 (e11 = op1(e10, e11)) & 61.66/62.11 (h4(e11) = e20) & 61.66/62.11 (e22 = op2(e20, e20))), 61.66/62.11 inference('s_sup-', [status(thm)], ['296', '300'])). 61.66/62.11 tff('302', plain, (e20 = h4(e11)) <= ((h4(e11) = e20)), 61.66/62.11 inference('split', [status(esa)], ['110'])). 61.66/62.11 tff('303', plain, (e20 = h4(e11)) <= ((h4(e11) = e20)), 61.66/62.11 inference('split', [status(esa)], ['110'])). 61.66/62.11 tff('304', plain, 61.66/62.11 (op2(e22, e20) != e20) 61.66/62.11 <= (~ (op2(h4(e10), h4(e11)) = h4(op1(e10, e11))) & 61.66/62.11 (e11 = op1(e10, e11)) & 61.66/62.11 (h4(e11) = e20) & 61.66/62.11 (e22 = op2(e20, e20))), 61.66/62.11 inference('demod', [status(thm)], ['301', '302', '303'])). 61.66/62.11 tff('305', plain, 61.66/62.11 (e20 != e20) 61.66/62.11 <= (~ (op2(h4(e10), h4(e11)) = h4(op1(e10, e11))) & 61.66/62.11 (e11 = op1(e10, e11)) & 61.66/62.11 (e20 = op2(e22, e20)) & 61.66/62.11 (h4(e11) = e20) & 61.66/62.11 (e22 = op2(e20, e20))), 61.66/62.11 inference('s_sup-', [status(thm)], ['295', '304'])). 61.66/62.11 tff('306', plain, 61.66/62.11 (op2(h4(e10), h4(e11)) = h4(op1(e10, e11))) | ~ (e22 = op2(e20, e20)) | 61.66/62.11 ~ (h4(e11) = e20) | ~ (e11 = op1(e10, e11)) | ~ (e20 = op2(e22, e20)), 61.66/62.11 inference('simplify', [status(thm)], ['305'])). 61.66/62.11 tff('307', plain, 61.66/62.11 (op2(e21, e21) = e21 61.66/62.11 | op2(e21, e22) = e21 61.66/62.11 | op2(e21, e23) = e21 61.66/62.11 | e21 = op2(e21, e20)), 61.66/62.11 inference('cnf', [status(esa)], [ax4])). 61.66/62.11 tff('308', plain, op2(e21, e21) = h2(e11), 61.66/62.11 inference('cnf', [status(esa)], [ax15])). 61.66/62.11 tff('309', plain, 61.66/62.11 (h2(e11) = e21 61.66/62.11 | op2(e21, e22) = e21 61.66/62.11 | op2(e21, e23) = e21 61.66/62.11 | e21 = op2(e21, e20)), 61.66/62.11 inference('demod', [status(thm)], ['307', '308'])). 61.66/62.11 tff('310', plain, op2(e21, e22) != op2(e22, e22), 61.66/62.11 inference('cnf', [status(esa)], [ax6])). 61.66/62.11 tff('311', plain, e21 = op2(e22, e22), 61.66/62.11 inference('cnf', [status(esa)], [ax13])). 61.66/62.11 tff('312', plain, op2(e21, e22) != e21, 61.66/62.11 inference('demod', [status(thm)], ['310', '311'])). 61.66/62.11 tff('313', plain, 61.66/62.11 (h2(e11) = e21 | op2(e21, e23) = e21 | e21 = op2(e21, e20)), 61.66/62.11 inference('simplify_reflect-', [status(thm)], ['309', '312'])). 61.66/62.11 tff('314', plain, (op2(e21, e23) = e21) <= ((op2(e21, e23) = e21)), 61.66/62.11 inference('split', [status(esa)], ['313'])). 61.66/62.11 tff('315', plain, 61.66/62.11 (h4(e13) = e21) <= ((h4(e11) = e20) & (op2(e23, e20) = e21)), 61.66/62.11 inference('s_sup+', [status(thm)], ['226', '227'])). 61.66/62.11 tff('316', plain, 61.66/62.11 (e13 = op1(e13, e12) 61.66/62.11 | op1(e13, e12) = e12 61.66/62.11 | e11 = op1(e13, e12) 61.66/62.11 | op1(e13, e12) = e10), 61.66/62.11 inference('cnf', [status(esa)], [ax1])). 61.66/62.11 tff('317', plain, op1(e12, e12) != op1(e13, e12), 61.66/62.11 inference('cnf', [status(esa)], [ax5])). 61.66/62.11 tff('318', plain, e11 = op1(e12, e12), 61.66/62.11 inference('cnf', [status(esa)], [ax12])). 61.66/62.11 tff('319', plain, e11 != op1(e13, e12), 61.66/62.11 inference('demod', [status(thm)], ['317', '318'])). 61.66/62.11 tff('320', plain, 61.66/62.11 (e13 = op1(e13, e12) | op1(e13, e12) = e12 | op1(e13, e12) = e10), 61.66/62.11 inference('simplify_reflect-', [status(thm)], ['316', '319'])). 61.66/62.11 tff('321', plain, (e13 = op1(e13, e12)) <= ((op1(e13, e12) = e13)), 61.66/62.11 inference('split', [status(esa)], ['320'])). 61.66/62.11 tff('322', plain, 61.66/62.11 (op2(h4(e13), h4(e12)) != h4(op1(e13, e12))) 61.66/62.11 <= (~ (op2(h4(e13), h4(e12)) = h4(op1(e13, e12)))), 61.66/62.11 inference('split', [status(esa)], ['114'])). 61.66/62.11 tff('323', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('324', plain, 61.66/62.11 (op2(h4(e13), e23) != h4(op1(e13, e12))) 61.66/62.11 <= (~ (op2(h4(e13), h4(e12)) = h4(op1(e13, e12)))), 61.66/62.11 inference('demod', [status(thm)], ['322', '323'])). 61.66/62.11 tff('325', plain, 61.66/62.11 (op2(h4(e13), e23) != h4(e13)) 61.66/62.11 <= (~ (op2(h4(e13), h4(e12)) = h4(op1(e13, e12))) & 61.66/62.11 (op1(e13, e12) = e13)), 61.66/62.11 inference('s_sup-', [status(thm)], ['321', '324'])). 61.66/62.11 tff('326', plain, 61.66/62.11 (op2(e21, e23) != e21) 61.66/62.11 <= (~ (op2(h4(e13), h4(e12)) = h4(op1(e13, e12))) & 61.66/62.11 (op1(e13, e12) = e13) & 61.66/62.11 (h4(e11) = e20) & 61.66/62.11 (op2(e23, e20) = e21)), 61.66/62.11 inference('s_sup-', [status(thm)], ['315', '325'])). 61.66/62.11 tff('327', plain, 61.66/62.11 (e21 != e21) 61.66/62.11 <= (~ (op2(h4(e13), h4(e12)) = h4(op1(e13, e12))) & 61.66/62.11 (op1(e13, e12) = e13) & 61.66/62.11 (op2(e21, e23) = e21) & 61.66/62.11 (h4(e11) = e20) & 61.66/62.11 (op2(e23, e20) = e21)), 61.66/62.11 inference('s_sup-', [status(thm)], ['314', '326'])). 61.66/62.11 tff('328', plain, 61.66/62.11 (op2(h4(e13), h4(e12)) = h4(op1(e13, e12))) | ~ (op2(e23, e20) = e21) | 61.66/62.11 ~ (op1(e13, e12) = e13) | ~ (h4(e11) = e20) | ~ (op2(e21, e23) = e21), 61.66/62.11 inference('simplify', [status(thm)], ['327'])). 61.66/62.11 tff('329', plain, 61.66/62.11 (h4(e13) = e21) <= ((e20 = op2(e23, e23)) & (op2(e23, e20) = e21)), 61.66/62.11 inference('s_sup+', [status(thm)], ['160', '166'])). 61.66/62.11 tff('330', plain, 61.66/62.11 (h4(op1(e10, e12)) != op2(h4(e10), h4(e12)) 61.66/62.11 | op2(h4(e11), h4(e10)) != h4(op1(e11, e10)) 61.66/62.11 | h4(op1(e11, e11)) != op2(h4(e11), h4(e11)) 61.66/62.11 | h4(op1(e11, e12)) != op2(h4(e11), h4(e12)) 61.66/62.11 | op2(h4(e11), h4(e13)) != h4(op1(e11, e13)) 61.66/62.11 | h4(op1(e12, e12)) != op2(h4(e12), h4(e12)) 61.66/62.11 | op2(h4(e12), h4(e13)) != h4(op1(e12, e13)) 61.66/62.11 | h4(op1(e13, e11)) != op2(h4(e13), h4(e11)) 61.66/62.11 | op2(h4(e13), h4(e12)) != h4(op1(e13, e12)) 61.66/62.11 | h4(e10) != e20 61.66/62.11 | h4(e11) != e23 61.66/62.11 | e22 != h4(e13) 61.66/62.11 | h4(e13) != e21 61.66/62.11 | op2(h4(e13), h4(e13)) != h4(op1(e13, e13)) 61.66/62.11 | op2(h4(e13), h4(e10)) != h4(op1(e13, e10)) 61.66/62.11 | op2(h4(e12), h4(e11)) != h4(op1(e12, e11)) 61.66/62.11 | h4(op1(e12, e10)) != op2(h4(e12), h4(e10)) 61.66/62.11 | h4(op1(e10, e13)) != op2(h4(e10), h4(e13)) 61.66/62.11 | op2(h4(e10), h4(e11)) != h4(op1(e10, e11)) 61.66/62.11 | op2(h4(e10), h4(e10)) != h4(op1(e10, e10))), 61.66/62.11 inference('cnf', [status(esa)], [zf_stmt_5])). 61.66/62.11 tff('331', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('332', plain, e10 = op1(e11, e11), 61.66/62.11 inference('demod', [status(thm)], ['4', '5', '6'])). 61.66/62.11 tff('333', plain, op2(h4(e11), h4(e11)) = h4(e10), 61.66/62.11 inference('demod', [status(thm)], ['72', '73', '74'])). 61.66/62.11 tff('334', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('335', plain, e11 = op1(e12, e12), 61.66/62.11 inference('cnf', [status(esa)], [ax12])). 61.66/62.11 tff('336', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('337', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('338', plain, op2(e23, e23) = h4(e11), 61.66/62.11 inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('339', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('340', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('341', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('342', plain, h4(e13) = op2(e23, h4(e11)), 61.66/62.11 inference('demod', [status(thm)], ['84', '85'])). 61.66/62.11 tff('343', plain, op1(e12, e11) = e13, 61.66/62.11 inference('demod', [status(thm)], ['10', '11'])). 61.66/62.11 tff('344', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('345', plain, 61.66/62.11 (h4(op1(e10, e12)) != op2(h4(e10), e23) 61.66/62.11 | op2(h4(e11), h4(e10)) != h4(op1(e11, e10)) 61.66/62.11 | h4(e10) != h4(e10) 61.66/62.11 | h4(op1(e11, e12)) != op2(h4(e11), e23) 61.66/62.11 | op2(h4(e11), h4(e13)) != h4(op1(e11, e13)) 61.66/62.11 | h4(e11) != h4(e11) 61.66/62.11 | op2(e23, h4(e13)) != h4(op1(e12, e13)) 61.66/62.11 | h4(op1(e13, e11)) != op2(h4(e13), h4(e11)) 61.66/62.11 | op2(h4(e13), e23) != h4(op1(e13, e12)) 61.66/62.11 | h4(e10) != e20 61.66/62.11 | h4(e11) != e23 61.66/62.11 | e22 != h4(e13) 61.66/62.11 | h4(e13) != e21 61.66/62.11 | op2(h4(e13), h4(e13)) != h4(op1(e13, e13)) 61.66/62.11 | op2(h4(e13), h4(e10)) != h4(op1(e13, e10)) 61.66/62.11 | h4(e13) != h4(e13) 61.66/62.11 | h4(op1(e12, e10)) != op2(e23, h4(e10)) 61.66/62.11 | h4(op1(e10, e13)) != op2(h4(e10), h4(e13)) 61.66/62.11 | op2(h4(e10), h4(e11)) != h4(op1(e10, e11)) 61.66/62.11 | op2(h4(e10), h4(e10)) != h4(op1(e10, e10))), 61.66/62.11 inference('demod', [status(thm)], 61.66/62.11 ['330', '331', '332', '333', '334', '335', '336', '337', 61.66/62.11 '338', '339', '340', '341', '342', '343', '344'])). 61.66/62.11 tff('346', plain, 61.66/62.11 (op2(h4(e10), h4(e10)) != h4(op1(e10, e10)) 61.66/62.11 | op2(h4(e10), h4(e11)) != h4(op1(e10, e11)) 61.66/62.11 | h4(op1(e10, e13)) != op2(h4(e10), h4(e13)) 61.66/62.11 | h4(op1(e12, e10)) != op2(e23, h4(e10)) 61.66/62.11 | op2(h4(e13), h4(e10)) != h4(op1(e13, e10)) 61.66/62.11 | op2(h4(e13), h4(e13)) != h4(op1(e13, e13)) 61.66/62.11 | h4(e13) != e21 61.66/62.11 | e22 != h4(e13) 61.66/62.11 | h4(e11) != e23 61.66/62.11 | h4(e10) != e20 61.66/62.11 | op2(h4(e13), e23) != h4(op1(e13, e12)) 61.66/62.11 | h4(op1(e13, e11)) != op2(h4(e13), h4(e11)) 61.66/62.11 | op2(e23, h4(e13)) != h4(op1(e12, e13)) 61.66/62.11 | op2(h4(e11), h4(e13)) != h4(op1(e11, e13)) 61.66/62.11 | h4(op1(e11, e12)) != op2(h4(e11), e23) 61.66/62.11 | op2(h4(e11), h4(e10)) != h4(op1(e11, e10)) 61.66/62.11 | h4(op1(e10, e12)) != op2(h4(e10), e23)), 61.66/62.11 inference('simplify', [status(thm)], ['345'])). 61.66/62.11 tff('347', plain, (h4(e13) != e21) <= (~ (h4(e13) = e21)), 61.66/62.11 inference('split', [status(esa)], ['346'])). 61.66/62.11 tff('348', plain, 61.66/62.11 (e21 != e21) 61.66/62.11 <= (~ (h4(e13) = e21) & (e20 = op2(e23, e23)) & (op2(e23, e20) = e21)), 61.66/62.11 inference('s_sup-', [status(thm)], ['329', '347'])). 61.66/62.11 tff('349', plain, 61.66/62.11 (h4(e13) = e21) | ~ (op2(e23, e20) = e21) | ~ (e20 = op2(e23, e23)), 61.66/62.11 inference('simplify', [status(thm)], ['348'])). 61.66/62.11 tff('350', plain, 61.66/62.11 (e21 = op2(e20, e20) 61.66/62.11 | op2(e20, e21) = e21 61.66/62.11 | op2(e20, e23) = e21 61.66/62.11 | op2(e20, e22) = e21), 61.66/62.11 inference('cnf', [status(esa)], [ax4])). 61.66/62.11 tff('351', plain, h1(e11) = op2(e20, e20), 61.66/62.11 inference('cnf', [status(esa)], [ax14])). 61.66/62.11 tff('352', plain, 61.66/62.11 (e21 = h1(e11) 61.66/62.11 | op2(e20, e21) = e21 61.66/62.11 | op2(e20, e23) = e21 61.66/62.11 | op2(e20, e22) = e21), 61.66/62.11 inference('demod', [status(thm)], ['350', '351'])). 61.66/62.11 tff('353', plain, op2(e22, e22) != op2(e20, e22), 61.66/62.11 inference('cnf', [status(esa)], [ax6])). 61.66/62.11 tff('354', plain, e21 = op2(e22, e22), 61.66/62.11 inference('cnf', [status(esa)], [ax13])). 61.66/62.11 tff('355', plain, e21 != op2(e20, e22), 61.66/62.11 inference('demod', [status(thm)], ['353', '354'])). 61.66/62.11 tff('356', plain, 61.66/62.11 (e21 = h1(e11) | op2(e20, e21) = e21 | op2(e20, e23) = e21), 61.66/62.11 inference('simplify_reflect-', [status(thm)], ['352', '355'])). 61.66/62.11 tff('357', plain, (op2(e20, e21) = e21) <= ((op2(e20, e21) = e21)), 61.66/62.11 inference('split', [status(esa)], ['356'])). 61.66/62.11 tff('358', plain, 61.66/62.11 (h4(e13) = e21) <= ((h4(e11) = e20) & (op2(e23, e20) = e21)), 61.66/62.11 inference('s_sup+', [status(thm)], ['226', '227'])). 61.66/62.11 tff('359', plain, 61.66/62.11 (op1(e11, e13) = e13 61.66/62.11 | op1(e11, e13) = e12 61.66/62.11 | e11 = op1(e11, e13) 61.66/62.11 | op1(e11, e13) = e10), 61.66/62.11 inference('cnf', [status(esa)], [ax1])). 61.66/62.11 tff('360', plain, op1(e11, e13) != op1(e11, e11), 61.66/62.11 inference('cnf', [status(esa)], [ax5])). 61.66/62.11 tff('361', plain, e10 = op1(e11, e11), 61.66/62.11 inference('demod', [status(thm)], ['4', '5', '6'])). 61.66/62.11 tff('362', plain, op1(e11, e13) != e10, 61.66/62.11 inference('demod', [status(thm)], ['360', '361'])). 61.66/62.11 tff('363', plain, 61.66/62.11 (op1(e11, e13) = e13 | op1(e11, e13) = e12 | e11 = op1(e11, e13)), 61.66/62.11 inference('simplify_reflect-', [status(thm)], ['359', '362'])). 61.66/62.11 tff('364', plain, (op1(e11, e13) = e13) <= ((op1(e11, e13) = e13)), 61.66/62.11 inference('split', [status(esa)], ['363'])). 61.66/62.11 tff('365', plain, 61.66/62.11 (op2(h4(e11), h4(e13)) != h4(op1(e11, e13))) 61.66/62.11 <= (~ (op2(h4(e11), h4(e13)) = h4(op1(e11, e13)))), 61.66/62.11 inference('split', [status(esa)], ['90'])). 61.66/62.11 tff('366', plain, 61.66/62.11 (op2(h4(e11), h4(e13)) != h4(e13)) 61.66/62.11 <= (~ (op2(h4(e11), h4(e13)) = h4(op1(e11, e13))) & 61.66/62.11 (op1(e11, e13) = e13)), 61.66/62.11 inference('s_sup-', [status(thm)], ['364', '365'])). 61.66/62.11 tff('367', plain, 61.66/62.11 (op2(h4(e11), e21) != e21) 61.66/62.11 <= (~ (op2(h4(e11), h4(e13)) = h4(op1(e11, e13))) & 61.66/62.11 (h4(e11) = e20) & 61.66/62.11 (op2(e23, e20) = e21) & 61.66/62.11 (op1(e11, e13) = e13)), 61.66/62.11 inference('s_sup-', [status(thm)], ['358', '366'])). 61.66/62.11 tff('368', plain, (e20 = h4(e11)) <= ((h4(e11) = e20)), 61.66/62.11 inference('split', [status(esa)], ['110'])). 61.66/62.11 tff('369', plain, 61.66/62.11 (op2(e20, e21) != e21) 61.66/62.11 <= (~ (op2(h4(e11), h4(e13)) = h4(op1(e11, e13))) & 61.66/62.11 (h4(e11) = e20) & 61.66/62.11 (op2(e23, e20) = e21) & 61.66/62.11 (op1(e11, e13) = e13)), 61.66/62.11 inference('demod', [status(thm)], ['367', '368'])). 61.66/62.11 tff('370', plain, 61.66/62.11 (e21 != e21) 61.66/62.11 <= (~ (op2(h4(e11), h4(e13)) = h4(op1(e11, e13))) & 61.66/62.11 (op2(e20, e21) = e21) & 61.66/62.11 (h4(e11) = e20) & 61.66/62.11 (op2(e23, e20) = e21) & 61.66/62.11 (op1(e11, e13) = e13)), 61.66/62.11 inference('s_sup-', [status(thm)], ['357', '369'])). 61.66/62.11 tff('371', plain, 61.66/62.11 (op2(h4(e11), h4(e13)) = h4(op1(e11, e13))) | ~ (op2(e23, e20) = e21) | 61.66/62.11 ~ (op1(e11, e13) = e13) | ~ (h4(e11) = e20) | ~ (op2(e20, e21) = e21), 61.66/62.11 inference('simplify', [status(thm)], ['370'])). 61.66/62.11 tff('372', plain, 61.66/62.11 (h4(e13) = e21) <= ((h4(e11) = e20) & (op2(e23, e20) = e21)), 61.66/62.11 inference('s_sup+', [status(thm)], ['226', '227'])). 61.66/62.11 tff('373', plain, (op1(e13, e13) = e11) <= ((op1(e13, e13) = e11)), 61.66/62.11 inference('split', [status(esa)], ['40'])). 61.66/62.11 tff('374', plain, 61.66/62.11 (h4(op1(e10, e12)) != op2(h4(e10), h4(e12)) 61.66/62.11 | op2(h4(e11), h4(e10)) != h4(op1(e11, e10)) 61.66/62.11 | h4(op1(e11, e11)) != op2(h4(e11), h4(e11)) 61.66/62.11 | h4(op1(e11, e12)) != op2(h4(e11), h4(e12)) 61.66/62.11 | op2(h4(e11), h4(e13)) != h4(op1(e11, e13)) 61.66/62.11 | h4(op1(e12, e12)) != op2(h4(e12), h4(e12)) 61.66/62.11 | op2(h4(e12), h4(e13)) != h4(op1(e12, e13)) 61.66/62.11 | h4(op1(e13, e11)) != op2(h4(e13), h4(e11)) 61.66/62.11 | op2(h4(e13), h4(e12)) != h4(op1(e13, e12)) 61.66/62.11 | h4(e10) != e20 61.66/62.11 | h4(e11) != e23 61.66/62.11 | e22 != h4(e13) 61.66/62.11 | e21 != h4(e10) 61.66/62.11 | op2(h4(e13), h4(e13)) != h4(op1(e13, e13)) 61.66/62.11 | op2(h4(e13), h4(e10)) != h4(op1(e13, e10)) 61.66/62.11 | op2(h4(e12), h4(e11)) != h4(op1(e12, e11)) 61.66/62.11 | h4(op1(e12, e10)) != op2(h4(e12), h4(e10)) 61.66/62.11 | h4(op1(e10, e13)) != op2(h4(e10), h4(e13)) 61.66/62.11 | op2(h4(e10), h4(e11)) != h4(op1(e10, e11)) 61.66/62.11 | op2(h4(e10), h4(e10)) != h4(op1(e10, e10))), 61.66/62.11 inference('cnf', [status(esa)], [zf_stmt_5])). 61.66/62.11 tff('375', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('376', plain, e10 = op1(e11, e11), 61.66/62.11 inference('demod', [status(thm)], ['4', '5', '6'])). 61.66/62.11 tff('377', plain, op2(h4(e11), h4(e11)) = h4(e10), 61.66/62.11 inference('demod', [status(thm)], ['72', '73', '74'])). 61.66/62.11 tff('378', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('379', plain, e11 = op1(e12, e12), 61.66/62.11 inference('cnf', [status(esa)], [ax12])). 61.66/62.11 tff('380', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('381', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('382', plain, op2(e23, e23) = h4(e11), 61.66/62.11 inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('383', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('384', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('385', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('386', plain, h4(e13) = op2(e23, h4(e11)), 61.66/62.11 inference('demod', [status(thm)], ['84', '85'])). 61.66/62.11 tff('387', plain, op1(e12, e11) = e13, 61.66/62.11 inference('demod', [status(thm)], ['10', '11'])). 61.66/62.11 tff('388', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('389', plain, 61.66/62.11 (h4(op1(e10, e12)) != op2(h4(e10), e23) 61.66/62.11 | op2(h4(e11), h4(e10)) != h4(op1(e11, e10)) 61.66/62.11 | h4(e10) != h4(e10) 61.66/62.11 | h4(op1(e11, e12)) != op2(h4(e11), e23) 61.66/62.11 | op2(h4(e11), h4(e13)) != h4(op1(e11, e13)) 61.66/62.11 | h4(e11) != h4(e11) 61.66/62.11 | op2(e23, h4(e13)) != h4(op1(e12, e13)) 61.66/62.11 | h4(op1(e13, e11)) != op2(h4(e13), h4(e11)) 61.66/62.11 | op2(h4(e13), e23) != h4(op1(e13, e12)) 61.66/62.11 | h4(e10) != e20 61.66/62.11 | h4(e11) != e23 61.66/62.11 | e22 != h4(e13) 61.66/62.11 | e21 != h4(e10) 61.66/62.11 | op2(h4(e13), h4(e13)) != h4(op1(e13, e13)) 61.66/62.11 | op2(h4(e13), h4(e10)) != h4(op1(e13, e10)) 61.66/62.11 | h4(e13) != h4(e13) 61.66/62.11 | h4(op1(e12, e10)) != op2(e23, h4(e10)) 61.66/62.11 | h4(op1(e10, e13)) != op2(h4(e10), h4(e13)) 61.66/62.11 | op2(h4(e10), h4(e11)) != h4(op1(e10, e11)) 61.66/62.11 | op2(h4(e10), h4(e10)) != h4(op1(e10, e10))), 61.66/62.11 inference('demod', [status(thm)], 61.66/62.11 ['374', '375', '376', '377', '378', '379', '380', '381', 61.66/62.11 '382', '383', '384', '385', '386', '387', '388'])). 61.66/62.11 tff('390', plain, 61.66/62.11 (op2(h4(e10), h4(e10)) != h4(op1(e10, e10)) 61.66/62.11 | op2(h4(e10), h4(e11)) != h4(op1(e10, e11)) 61.66/62.11 | h4(op1(e10, e13)) != op2(h4(e10), h4(e13)) 61.66/62.11 | h4(op1(e12, e10)) != op2(e23, h4(e10)) 61.66/62.11 | op2(h4(e13), h4(e10)) != h4(op1(e13, e10)) 61.66/62.11 | op2(h4(e13), h4(e13)) != h4(op1(e13, e13)) 61.66/62.11 | e21 != h4(e10) 61.66/62.11 | e22 != h4(e13) 61.66/62.11 | h4(e11) != e23 61.66/62.11 | h4(e10) != e20 61.66/62.11 | op2(h4(e13), e23) != h4(op1(e13, e12)) 61.66/62.11 | h4(op1(e13, e11)) != op2(h4(e13), h4(e11)) 61.66/62.11 | op2(e23, h4(e13)) != h4(op1(e12, e13)) 61.66/62.11 | op2(h4(e11), h4(e13)) != h4(op1(e11, e13)) 61.66/62.11 | h4(op1(e11, e12)) != op2(h4(e11), e23) 61.66/62.11 | op2(h4(e11), h4(e10)) != h4(op1(e11, e10)) 61.66/62.11 | h4(op1(e10, e12)) != op2(h4(e10), e23)), 61.66/62.11 inference('simplify', [status(thm)], ['389'])). 61.66/62.11 tff('391', plain, 61.66/62.11 (op2(h4(e13), h4(e13)) != h4(op1(e13, e13))) 61.66/62.11 <= (~ (op2(h4(e13), h4(e13)) = h4(op1(e13, e13)))), 61.66/62.11 inference('split', [status(esa)], ['390'])). 61.66/62.11 tff('392', plain, 61.66/62.11 (op2(h4(e13), h4(e13)) != h4(e11)) 61.66/62.11 <= (~ (op2(h4(e13), h4(e13)) = h4(op1(e13, e13))) & 61.66/62.11 (op1(e13, e13) = e11)), 61.66/62.11 inference('s_sup-', [status(thm)], ['373', '391'])). 61.66/62.11 tff('393', plain, 61.66/62.11 (op2(e21, e21) != h4(e11)) 61.66/62.11 <= (~ (op2(h4(e13), h4(e13)) = h4(op1(e13, e13))) & 61.66/62.11 (h4(e11) = e20) & 61.66/62.11 (op2(e23, e20) = e21) & 61.66/62.11 (op1(e13, e13) = e11)), 61.66/62.11 inference('s_sup-', [status(thm)], ['372', '392'])). 61.66/62.11 tff('394', plain, op2(e21, e21) = e20, 61.66/62.11 inference('demod', [status(thm)], ['150', '151', '152'])). 61.66/62.11 tff('395', plain, (e20 = h4(e11)) <= ((h4(e11) = e20)), 61.66/62.11 inference('split', [status(esa)], ['110'])). 61.66/62.11 tff('396', plain, 61.66/62.11 (e20 != e20) 61.66/62.11 <= (~ (op2(h4(e13), h4(e13)) = h4(op1(e13, e13))) & 61.66/62.11 (h4(e11) = e20) & 61.66/62.11 (op2(e23, e20) = e21) & 61.66/62.11 (op1(e13, e13) = e11)), 61.66/62.11 inference('demod', [status(thm)], ['393', '394', '395'])). 61.66/62.11 tff('397', plain, 61.66/62.11 (op2(h4(e13), h4(e13)) = h4(op1(e13, e13))) | ~ (op2(e23, e20) = e21) | 61.66/62.11 ~ (op1(e13, e13) = e11) | ~ (h4(e11) = e20), 61.66/62.11 inference('simplify', [status(thm)], ['396'])). 61.66/62.11 tff('398', plain, (e23 = op2(e23, e20)) <= ((e23 = op2(e23, e20))), 61.66/62.11 inference('split', [status(esa)], ['145'])). 61.66/62.11 tff('399', plain, (op2(e23, e20) = e21) <= ((op2(e23, e20) = e21)), 61.66/62.11 inference('split', [status(esa)], ['165'])). 61.66/62.11 tff('400', plain, 61.66/62.11 (e23 = e21) <= ((e23 = op2(e23, e20)) & (op2(e23, e20) = e21)), 61.66/62.11 inference('s_sup+', [status(thm)], ['398', '399'])). 61.66/62.11 tff('401', plain, e23 != e21, inference('cnf', [status(esa)], [ax8])). 61.66/62.11 tff('402', plain, ~ (op2(e23, e20) = e21) | ~ (e23 = op2(e23, e20)), 61.66/62.11 inference('simplify_reflect-', [status(thm)], ['400', '401'])). 61.66/62.11 tff('403', plain, 61.66/62.11 (op2(e23, e23) = e21) | (op2(e23, e20) = e21) | (e21 = op2(e23, e21)), 61.66/62.11 inference('split', [status(esa)], ['165'])). 61.66/62.11 tff('404', plain, (h4(e11) = e22) <= ((e22 = h4(e11))), 61.66/62.11 inference('split', [status(esa)], ['110'])). 61.66/62.11 tff('405', plain, (op2(e23, e21) = e22) <= ((op2(e23, e21) = e22)), 61.66/62.11 inference('split', [status(esa)], ['272'])). 61.66/62.11 tff('406', plain, op2(e23, e23) != op2(e23, e21), 61.66/62.11 inference('cnf', [status(esa)], [ax6])). 61.66/62.11 tff('407', plain, op2(e23, e23) = h4(e11), 61.66/62.11 inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('408', plain, h4(e11) != op2(e23, e21), 61.66/62.11 inference('demod', [status(thm)], ['406', '407'])). 61.66/62.11 tff('409', plain, (h4(e11) != e22) <= ((op2(e23, e21) = e22)), 61.66/62.11 inference('s_sup-', [status(thm)], ['405', '408'])). 61.66/62.11 tff('410', plain, (e22 != e22) <= ((op2(e23, e21) = e22) & (e22 = h4(e11))), 61.66/62.11 inference('s_sup-', [status(thm)], ['404', '409'])). 61.66/62.11 tff('411', plain, ~ (e22 = h4(e11)) | ~ (op2(e23, e21) = e22), 61.66/62.11 inference('simplify', [status(thm)], ['410'])). 61.66/62.11 tff('412', plain, 61.66/62.11 (h4(op1(e10, e12)) != op2(h4(e10), h4(e12)) 61.66/62.11 | op2(h4(e11), h4(e10)) != h4(op1(e11, e10)) 61.66/62.11 | h4(op1(e11, e11)) != op2(h4(e11), h4(e11)) 61.66/62.11 | h4(op1(e11, e12)) != op2(h4(e11), h4(e12)) 61.66/62.11 | op2(h4(e11), h4(e13)) != h4(op1(e11, e13)) 61.66/62.11 | h4(op1(e12, e12)) != op2(h4(e12), h4(e12)) 61.66/62.11 | op2(h4(e12), h4(e13)) != h4(op1(e12, e13)) 61.66/62.11 | h4(op1(e13, e11)) != op2(h4(e13), h4(e11)) 61.66/62.11 | op2(h4(e13), h4(e12)) != h4(op1(e13, e12)) 61.66/62.11 | e20 != h4(e11) 61.66/62.11 | h4(e12) != e23 61.66/62.11 | e22 != h4(e10) 61.66/62.11 | h4(e13) != e21 61.66/62.11 | op2(h4(e13), h4(e13)) != h4(op1(e13, e13)) 61.66/62.11 | op2(h4(e13), h4(e10)) != h4(op1(e13, e10)) 61.66/62.11 | op2(h4(e12), h4(e11)) != h4(op1(e12, e11)) 61.66/62.11 | h4(op1(e12, e10)) != op2(h4(e12), h4(e10)) 61.66/62.11 | h4(op1(e10, e13)) != op2(h4(e10), h4(e13)) 61.66/62.11 | op2(h4(e10), h4(e11)) != h4(op1(e10, e11)) 61.66/62.11 | op2(h4(e10), h4(e10)) != h4(op1(e10, e10))), 61.66/62.11 inference('cnf', [status(esa)], [zf_stmt_5])). 61.66/62.11 tff('413', plain, 61.66/62.11 ~ (op2(h4(e11), h4(e10)) = h4(op1(e11, e10))) | 61.66/62.11 ~ (h4(op1(e12, e10)) = op2(h4(e12), h4(e10))) | 61.66/62.11 ~ (op2(h4(e12), h4(e11)) = h4(op1(e12, e11))) | ~ (h4(e11) = e20) | 61.66/62.11 ~ (h4(op1(e10, e12)) = op2(h4(e10), h4(e12))) | ~ (e22 = h4(e10)) | 61.66/62.11 ~ (op2(h4(e12), h4(e13)) = h4(op1(e12, e13))) | 61.66/62.11 ~ (h4(op1(e12, e12)) = op2(h4(e12), h4(e12))) | 61.66/62.11 ~ (op2(h4(e10), h4(e10)) = h4(op1(e10, e10))) | 61.66/62.11 ~ (h4(op1(e11, e12)) = op2(h4(e11), h4(e12))) | 61.66/62.11 ~ (h4(op1(e11, e11)) = op2(h4(e11), h4(e11))) | 61.66/62.11 ~ (op2(h4(e10), h4(e11)) = h4(op1(e10, e11))) | ~ (h4(e13) = e21) | 61.66/62.11 ~ (op2(h4(e11), h4(e13)) = h4(op1(e11, e13))) | 61.66/62.11 ~ (h4(op1(e13, e11)) = op2(h4(e13), h4(e11))) | 61.66/62.11 ~ (h4(op1(e10, e13)) = op2(h4(e10), h4(e13))) | ~ (h4(e12) = e23) | 61.66/62.11 ~ (op2(h4(e13), h4(e13)) = h4(op1(e13, e13))) | 61.66/62.11 ~ (op2(h4(e13), h4(e10)) = h4(op1(e13, e10))) | 61.66/62.11 ~ (op2(h4(e13), h4(e12)) = h4(op1(e13, e12))), 61.66/62.11 inference('split', [status(esa)], ['412'])). 61.66/62.11 tff('414', plain, (e12 = op1(e13, e12) | ~ zip_tseitin_5), 61.66/62.11 inference('cnf', [status(esa)], [zf_stmt_1])). 61.66/62.11 tff('415', plain, (e12 = op1(e13, e12)) <= ((e12 = op1(e13, e12))), 61.66/62.11 inference('split', [status(esa)], ['414'])). 61.66/62.11 tff('416', plain, (e13 = op1(e13, e12)) <= ((op1(e13, e12) = e13)), 61.66/62.11 inference('split', [status(esa)], ['320'])). 61.66/62.11 tff('417', plain, 61.66/62.11 (e13 = e12) <= ((op1(e13, e12) = e13) & (e12 = op1(e13, e12))), 61.66/62.11 inference('s_sup+', [status(thm)], ['415', '416'])). 61.66/62.11 tff(ax7, axiom, 61.66/62.11 ((e13 != e10) & (e13 != e12) & (e13 != e11) & (e12 != e11) & 61.66/62.11 (e10 != e12) & (e10 != e11))). 61.66/62.11 tff('418', plain, e13 != e12, inference('cnf', [status(esa)], [ax7])). 61.66/62.11 tff('419', plain, ~ (e12 = op1(e13, e12)) | ~ (op1(e13, e12) = e13), 61.66/62.11 inference('simplify_reflect-', [status(thm)], ['417', '418'])). 61.66/62.11 tff(ax2, axiom, 61.66/62.11 (((op1(e11,e10) = e10) | (e10 = op1(e12,e10)) | (op1(e13,e10) = e10) | 61.66/62.11 (op1(e10,e10) = e10)) & 61.66/62.11 ((op1(e10,e11) = e11) | (e11 = op1(e10,e13)) | (e11 = op1(e10,e12)) | 61.66/62.11 (op1(e10,e10) = e11)) & 61.66/62.11 ((op1(e10,e12) = e12) | (op1(e10,e13) = e12) | (op1(e10,e11) = e12) | 61.66/62.11 (e12 = op1(e10,e10))) & 61.66/62.11 ((e13 = op1(e10,e11)) | (op1(e10,e12) = e13) | (e13 = op1(e10,e13)) | 61.66/62.11 (op1(e10,e10) = e13)) & 61.66/62.11 ((e10 = op1(e11,e10)) | (e10 = op1(e11,e11)) | (e10 = op1(e11,e12)) | 61.66/62.11 (e10 = op1(e11,e13))) & 61.66/62.11 ((op1(e13,e11) = e10) | (e10 = op1(e12,e11)) | (e10 = op1(e11,e11)) | 61.66/62.11 (op1(e10,e11) = e10)) & 61.66/62.11 ((op1(e11,e11) = e11) | (e11 = op1(e11,e13)) | (e11 = op1(e11,e12)) | 61.66/62.11 (e11 = op1(e11,e10))) & 61.66/62.11 ((e10 = op1(e12,e10)) | (op1(e12,e12) = e10) | (op1(e12,e13) = e10) | 61.66/62.11 (op1(e12,e11) = e10)) & 61.66/62.11 ((op1(e13,e12) = e10) | (e10 = op1(e12,e12)) | (e10 = op1(e11,e12)) | 61.66/62.11 (op1(e10,e12) = e10)) & 61.66/62.11 ((e12 = op1(e12,e13)) | (op1(e12,e12) = e12) | (op1(e12,e11) = e12) | 61.66/62.11 (op1(e12,e10) = e12)) & 61.66/62.11 ((op1(e11,e12) = e12) | (op1(e13,e12) = e12) | (e12 = op1(e12,e12)) | 61.66/62.11 (op1(e10,e12) = e12)) & 61.66/62.11 ((e10 = op1(e13,e11)) | (e10 = op1(e13,e12)) | (op1(e13,e13) = e10) | 61.66/62.11 (op1(e13,e10) = e10)) & 61.66/62.11 ((op1(e11,e13) = e10) | (op1(e13,e13) = e10) | (op1(e12,e13) = e10) | 61.66/62.11 (op1(e10,e13) = e10)) & 61.66/62.11 ((e11 = op1(e13,e13)) | (op1(e13,e12) = e11) | (op1(e13,e11) = e11) | 61.66/62.11 (op1(e13,e10) = e11)) & 61.66/62.11 ((op1(e10,e13) = e11) | (op1(e11,e13) = e11) | (e11 = op1(e12,e13)) | 61.66/62.11 (e11 = op1(e13,e13))) & 61.66/62.11 ((e12 = op1(e13,e11)) | (op1(e13,e12) = e12) | (op1(e13,e13) = e12) | 61.66/62.11 (op1(e13,e10) = e12)) & 61.66/62.11 ((e13 = op1(e13,e13)) | (op1(e13,e12) = e13) | (op1(e13,e11) = e13) | 61.66/62.11 (e13 = op1(e13,e10))) & 61.66/62.11 ((e13 = op1(e12,e13)) | (e13 = op1(e13,e13)) | (e13 = op1(e11,e13)) | 61.66/62.11 (op1(e10,e13) = e13)) & 61.66/62.11 ((op1(e13,e13) = e12) | (op1(e12,e13) = e12) | (op1(e11,e13) = e12) | 61.66/62.11 (op1(e10,e13) = e12)) & 61.66/62.11 ((op1(e10,e12) = e13) | (op1(e13,e12) = e13) | (op1(e12,e12) = e13) | 61.66/62.11 (e13 = op1(e11,e12))) & 61.66/62.11 ((op1(e12,e10) = e13) | (e13 = op1(e12,e13)) | (op1(e12,e12) = e13) | 61.66/62.11 (e13 = op1(e12,e11))) & 61.66/62.11 ((e11 = op1(e11,e12)) | (op1(e12,e12) = e11) | (e11 = op1(e13,e12)) | 61.66/62.11 (e11 = op1(e10,e12))) & 61.66/62.11 ((e11 = op1(e12,e10)) | (e11 = op1(e12,e11)) | (e11 = op1(e12,e13)) | 61.66/62.11 (e11 = op1(e12,e12))) & 61.66/62.11 ((e13 = op1(e12,e11)) | (e13 = op1(e13,e11)) | (op1(e11,e11) = e13) | 61.66/62.11 (e13 = op1(e10,e11))) & 61.66/62.11 ((op1(e11,e10) = e13) | (e13 = op1(e11,e12)) | (e13 = op1(e11,e13)) | 61.66/62.11 (e13 = op1(e11,e11))) & 61.66/62.11 ((op1(e10,e11) = e12) | (op1(e13,e11) = e12) | (e12 = op1(e12,e11)) | 61.66/62.11 (e12 = op1(e11,e11))) & 61.66/62.11 ((e12 = op1(e11,e11)) | (e12 = op1(e11,e13)) | (op1(e11,e12) = e12) | 61.66/62.11 (e12 = op1(e11,e10))) & 61.66/62.11 ((e11 = op1(e10,e11)) | (e11 = op1(e13,e11)) | (e11 = op1(e12,e11)) | 61.66/62.11 (e11 = op1(e11,e11))) & 61.66/62.11 ((e13 = op1(e11,e10)) | (e13 = op1(e12,e10)) | (op1(e13,e10) = e13) | 61.66/62.11 (op1(e10,e10) = e13)) & 61.66/62.11 ((e12 = op1(e12,e10)) | (op1(e13,e10) = e12) | (op1(e11,e10) = e12) | 61.66/62.11 (op1(e10,e10) = e12)) & 61.66/62.11 ((op1(e10,e10) = e11) | (op1(e13,e10) = e11) | (op1(e12,e10) = e11) | 61.66/62.11 (op1(e11,e10) = e11)) & 61.66/62.11 ((op1(e10,e12) = e10) | (op1(e10,e13) = e10) | (e10 = op1(e10,e11)) | 61.66/62.11 (op1(e10,e10) = e10)))). 61.66/62.11 tff('420', plain, 61.66/62.11 (e13 = op1(e13, e13) 61.66/62.11 | op1(e13, e12) = e13 61.66/62.11 | op1(e13, e11) = e13 61.66/62.11 | e13 = op1(e13, e10)), 61.66/62.11 inference('cnf', [status(esa)], [ax2])). 61.66/62.11 tff('421', plain, e13 != op1(e13, e11), 61.66/62.11 inference('demod', [status(thm)], ['172', '173'])). 61.66/62.11 tff('422', plain, 61.66/62.11 (e13 = op1(e13, e13) | op1(e13, e12) = e13 | e13 = op1(e13, e10)), 61.66/62.11 inference('simplify_reflect-', [status(thm)], ['420', '421'])). 61.66/62.11 tff('423', plain, 61.66/62.11 (op1(e13, e12) = e13) | (e13 = op1(e13, e13)) | (op1(e13, e10) = e13), 61.66/62.11 inference('split', [status(esa)], ['422'])). 61.66/62.11 tff(zf_stmt_10, axiom, 61.66/62.11 (zip_tseitin_6 => 61.66/62.11 ((op1(e13,e13) = e13) & (e13 = op1(e13,e13)) & 61.66/62.11 ((e11 != op1(e13,e13)) | (op1(e13,e11) != e13)) & 61.66/62.11 ((e13 != op1(e13,e12)) | (op1(e13,e13) != e12)) & 61.66/62.11 ((op1(e13,e13) != e13) | (e13 != op1(e13,e13))) & 61.66/62.11 ((op1(e13,e13) != e10) | (op1(e13,e10) != e13))))). 61.66/62.11 tff('424', plain, (op1(e13, e13) = e13 | ~ zip_tseitin_6), 61.66/62.11 inference('cnf', [status(esa)], [zf_stmt_10])). 61.66/62.11 tff('425', plain, (op1(e13, e13) = e13) <= ((e13 = op1(e13, e13))), 61.66/62.11 inference('split', [status(esa)], ['424'])). 61.66/62.11 tff('426', plain, (op1(e13, e13) = e11) <= ((op1(e13, e13) = e11)), 61.66/62.11 inference('split', [status(esa)], ['40'])). 61.66/62.11 tff('427', plain, 61.66/62.11 (e13 = e11) <= ((e13 = op1(e13, e13)) & (op1(e13, e13) = e11)), 61.66/62.11 inference('s_sup+', [status(thm)], ['425', '426'])). 61.66/62.11 tff('428', plain, e13 != e11, inference('cnf', [status(esa)], [ax7])). 61.66/62.11 tff('429', plain, ~ (e13 = op1(e13, e13)) | ~ (op1(e13, e13) = e11), 61.66/62.11 inference('simplify_reflect-', [status(thm)], ['427', '428'])). 61.66/62.11 tff('430', plain, (h4(e11) = e21) <= ((e21 = h4(e11))), 61.66/62.11 inference('split', [status(esa)], ['110'])). 61.66/62.11 tff('431', plain, (op1(e13, e13) = e11) <= ((op1(e13, e13) = e11)), 61.66/62.11 inference('split', [status(esa)], ['40'])). 61.66/62.11 tff('432', plain, 61.66/62.11 (h3(op1(e11, e10)) != op2(h3(e11), h3(e10)) 61.66/62.11 | h3(op1(e11, e11)) != op2(h3(e11), h3(e11)) 61.66/62.11 | h3(op1(e13, e10)) != op2(h3(e13), h3(e10)) 61.66/62.11 | op2(h3(e13), h3(e11)) != h3(op1(e13, e11)) 61.66/62.11 | op2(h3(e13), h3(e12)) != h3(op1(e13, e12)) 61.66/62.11 | h3(op1(e13, e13)) != op2(h3(e13), h3(e13)) 61.66/62.11 | h3(e11) != e23 61.66/62.11 | e22 != h3(e13) 61.66/62.11 | h3(e10) != e21 61.66/62.11 | e20 != h3(e13) 61.66/62.11 | op2(h3(e12), h3(e13)) != h3(op1(e12, e13)) 61.66/62.11 | op2(h3(e12), h3(e12)) != h3(op1(e12, e12)) 61.66/62.11 | op2(h3(e12), h3(e11)) != h3(op1(e12, e11)) 61.66/62.11 | h3(op1(e12, e10)) != op2(h3(e12), h3(e10)) 61.66/62.11 | h3(op1(e11, e13)) != op2(h3(e11), h3(e13)) 61.66/62.11 | op2(h3(e11), h3(e12)) != h3(op1(e11, e12)) 61.66/62.11 | op2(h3(e10), h3(e13)) != h3(op1(e10, e13)) 61.66/62.11 | h3(op1(e10, e12)) != op2(h3(e10), h3(e12)) 61.66/62.11 | h3(op1(e10, e11)) != op2(h3(e10), h3(e11)) 61.66/62.11 | op2(h3(e10), h3(e10)) != h3(op1(e10, e10))), 61.66/62.11 inference('cnf', [status(esa)], [zf_stmt_5])). 61.66/62.11 tff('433', plain, e10 = op1(e11, e11), 61.66/62.11 inference('demod', [status(thm)], ['4', '5', '6'])). 61.66/62.11 tff('434', plain, h3(e10) = op2(op2(e22, e22), op2(e22, e22)), 61.66/62.11 inference('cnf', [status(esa)], [ax16])). 61.66/62.11 tff('435', plain, op2(e22, e22) = h3(e11), 61.66/62.11 inference('cnf', [status(esa)], [ax16])). 61.66/62.11 tff('436', plain, op2(e22, e22) = h3(e11), 61.66/62.11 inference('cnf', [status(esa)], [ax16])). 61.66/62.11 tff('437', plain, h3(e10) = op2(h3(e11), h3(e11)), 61.66/62.11 inference('demod', [status(thm)], ['434', '435', '436'])). 61.66/62.11 tff('438', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.11 tff('439', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.11 tff('440', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.11 tff('441', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.11 tff('442', plain, e21 = op2(e22, e22), 61.66/62.11 inference('cnf', [status(esa)], [ax13])). 61.66/62.11 tff('443', plain, e11 = op1(e12, e12), 61.66/62.11 inference('cnf', [status(esa)], [ax12])). 61.66/62.11 tff('444', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.11 tff('445', plain, op2(e22, h3(e11)) = e23, 61.66/62.11 inference('demod', [status(thm)], ['262', '263'])). 61.66/62.11 tff('446', plain, op1(e12, e11) = e13, 61.66/62.11 inference('demod', [status(thm)], ['10', '11'])). 61.66/62.11 tff('447', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.11 tff('448', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.11 tff('449', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.11 tff('450', plain, 61.66/62.11 (h3(op1(e11, e10)) != op2(h3(e11), h3(e10)) 61.66/62.11 | h3(e10) != h3(e10) 61.66/62.11 | h3(op1(e13, e10)) != op2(h3(e13), h3(e10)) 61.66/62.11 | op2(h3(e13), h3(e11)) != h3(op1(e13, e11)) 61.66/62.11 | op2(h3(e13), e22) != h3(op1(e13, e12)) 61.66/62.11 | h3(op1(e13, e13)) != op2(h3(e13), h3(e13)) 61.66/62.11 | h3(e11) != e23 61.66/62.11 | e22 != h3(e13) 61.66/62.11 | h3(e10) != e21 61.66/62.11 | e20 != h3(e13) 61.66/62.11 | op2(e22, h3(e13)) != h3(op1(e12, e13)) 61.66/62.11 | e21 != h3(e11) 61.66/62.11 | e23 != h3(e13) 61.66/62.11 | h3(op1(e12, e10)) != op2(e22, h3(e10)) 61.66/62.11 | h3(op1(e11, e13)) != op2(h3(e11), h3(e13)) 61.66/62.11 | op2(h3(e11), e22) != h3(op1(e11, e12)) 61.66/62.11 | op2(h3(e10), h3(e13)) != h3(op1(e10, e13)) 61.66/62.11 | h3(op1(e10, e12)) != op2(h3(e10), e22) 61.66/62.11 | h3(op1(e10, e11)) != op2(h3(e10), h3(e11)) 61.66/62.11 | op2(h3(e10), h3(e10)) != h3(op1(e10, e10))), 61.66/62.11 inference('demod', [status(thm)], 61.66/62.11 ['432', '433', '437', '438', '439', '440', '441', '442', 61.66/62.11 '443', '444', '445', '446', '447', '448', '449'])). 61.66/62.11 tff('451', plain, 61.66/62.11 (op2(h3(e10), h3(e10)) != h3(op1(e10, e10)) 61.66/62.11 | h3(op1(e10, e11)) != op2(h3(e10), h3(e11)) 61.66/62.11 | h3(op1(e10, e12)) != op2(h3(e10), e22) 61.66/62.11 | op2(h3(e10), h3(e13)) != h3(op1(e10, e13)) 61.66/62.11 | op2(h3(e11), e22) != h3(op1(e11, e12)) 61.66/62.11 | h3(op1(e11, e13)) != op2(h3(e11), h3(e13)) 61.66/62.11 | h3(op1(e12, e10)) != op2(e22, h3(e10)) 61.66/62.11 | e23 != h3(e13) 61.66/62.11 | e21 != h3(e11) 61.66/62.11 | op2(e22, h3(e13)) != h3(op1(e12, e13)) 61.66/62.11 | e20 != h3(e13) 61.66/62.11 | h3(e10) != e21 61.66/62.11 | e22 != h3(e13) 61.66/62.11 | h3(e11) != e23 61.66/62.11 | h3(op1(e13, e13)) != op2(h3(e13), h3(e13)) 61.66/62.11 | op2(h3(e13), e22) != h3(op1(e13, e12)) 61.66/62.11 | op2(h3(e13), h3(e11)) != h3(op1(e13, e11)) 61.66/62.11 | h3(op1(e13, e10)) != op2(h3(e13), h3(e10)) 61.66/62.11 | h3(op1(e11, e10)) != op2(h3(e11), h3(e10))), 61.66/62.11 inference('simplify', [status(thm)], ['450'])). 61.66/62.11 tff('452', plain, 61.66/62.11 (h3(op1(e13, e13)) != op2(h3(e13), h3(e13))) 61.66/62.11 <= (~ (h3(op1(e13, e13)) = op2(h3(e13), h3(e13)))), 61.66/62.11 inference('split', [status(esa)], ['451'])). 61.66/62.11 tff('453', plain, op2(e22, e21) = e23, 61.66/62.11 inference('demod', [status(thm)], ['264', '267'])). 61.66/62.11 tff('454', plain, op2(e22, op2(e22, e22)) = h3(e13), 61.66/62.11 inference('cnf', [status(esa)], [ax16])). 61.66/62.11 tff('455', plain, op2(e22, e22) = h3(e11), 61.66/62.11 inference('cnf', [status(esa)], [ax16])). 61.66/62.11 tff('456', plain, op2(e22, h3(e11)) = h3(e13), 61.66/62.11 inference('demod', [status(thm)], ['454', '455'])). 61.66/62.11 tff('457', plain, e21 = h3(e11), 61.66/62.11 inference('s_sup+', [status(thm)], ['265', '266'])). 61.66/62.11 tff('458', plain, op2(e22, e21) = h3(e13), 61.66/62.11 inference('demod', [status(thm)], ['456', '457'])). 61.66/62.11 tff('459', plain, e23 = h3(e13), 61.66/62.11 inference('s_sup+', [status(thm)], ['453', '458'])). 61.66/62.11 tff('460', plain, e23 = h3(e13), 61.66/62.11 inference('s_sup+', [status(thm)], ['453', '458'])). 61.66/62.11 tff('461', plain, op2(e23, e23) = h4(e11), 61.66/62.11 inference('cnf', [status(esa)], [ax17])). 61.66/62.11 tff('462', plain, 61.66/62.11 (h3(op1(e13, e13)) != h4(e11)) 61.66/62.11 <= (~ (h3(op1(e13, e13)) = op2(h3(e13), h3(e13)))), 61.66/62.11 inference('demod', [status(thm)], ['452', '459', '460', '461'])). 61.66/62.11 tff('463', plain, 61.66/62.11 (h3(e11) != h4(e11)) 61.66/62.11 <= (~ (h3(op1(e13, e13)) = op2(h3(e13), h3(e13))) & 61.66/62.11 (op1(e13, e13) = e11)), 61.66/62.11 inference('s_sup-', [status(thm)], ['431', '462'])). 61.66/62.11 tff('464', plain, e21 = h3(e11), 61.66/62.11 inference('s_sup+', [status(thm)], ['265', '266'])). 61.66/62.11 tff('465', plain, 61.66/62.11 (e21 != h4(e11)) 61.66/62.11 <= (~ (h3(op1(e13, e13)) = op2(h3(e13), h3(e13))) & 61.66/62.11 (op1(e13, e13) = e11)), 61.66/62.11 inference('demod', [status(thm)], ['463', '464'])). 61.66/62.11 tff('466', plain, 61.66/62.11 (e21 != e21) 61.66/62.11 <= (~ (h3(op1(e13, e13)) = op2(h3(e13), h3(e13))) & 61.66/62.11 (e21 = h4(e11)) & 61.66/62.11 (op1(e13, e13) = e11)), 61.66/62.11 inference('s_sup-', [status(thm)], ['430', '465'])). 61.66/62.11 tff('467', plain, 61.66/62.11 (h3(op1(e13, e13)) = op2(h3(e13), h3(e13))) | ~ (op1(e13, e13) = e11) | 61.66/62.11 ~ (e21 = h4(e11)), inference('simplify', [status(thm)], ['466'])). 61.66/62.11 tff('468', plain, (op2(e23, e20) = e20) <= ((op2(e23, e20) = e20)), 61.66/62.11 inference('split', [status(esa)], ['294'])). 61.66/62.11 tff('469', plain, (op1(e13, e10) = e10) <= ((op1(e13, e10) = e10)), 61.66/62.11 inference('split', [status(esa)], ['245'])). 61.66/62.11 tff('470', plain, 61.66/62.11 (h3(op1(e13, e10)) != op2(h3(e13), h3(e10))) 61.66/62.11 <= (~ (h3(op1(e13, e10)) = op2(h3(e13), h3(e10)))), 61.66/62.11 inference('split', [status(esa)], ['451'])). 61.66/62.11 tff('471', plain, e23 = h3(e13), 61.66/62.11 inference('s_sup+', [status(thm)], ['453', '458'])). 61.66/62.11 tff('472', plain, op2(e21, e21) = e20, 61.66/62.11 inference('demod', [status(thm)], ['150', '151', '152'])). 61.66/62.11 tff('473', plain, h3(e10) = op2(h3(e11), h3(e11)), 61.66/62.11 inference('demod', [status(thm)], ['434', '435', '436'])). 61.66/62.11 tff('474', plain, e21 = h3(e11), 61.66/62.11 inference('s_sup+', [status(thm)], ['265', '266'])). 61.66/62.11 tff('475', plain, e21 = h3(e11), 61.66/62.11 inference('s_sup+', [status(thm)], ['265', '266'])). 61.66/62.11 tff('476', plain, h3(e10) = op2(e21, e21), 61.66/62.11 inference('demod', [status(thm)], ['473', '474', '475'])). 61.66/62.11 tff('477', plain, h3(e10) = e20, 61.66/62.11 inference('s_sup+', [status(thm)], ['472', '476'])). 61.66/62.11 tff('478', plain, 61.66/62.11 (h3(op1(e13, e10)) != op2(e23, e20)) 61.66/62.11 <= (~ (h3(op1(e13, e10)) = op2(h3(e13), h3(e10)))), 61.66/62.11 inference('demod', [status(thm)], ['470', '471', '477'])). 61.66/62.11 tff('479', plain, 61.66/62.11 (h3(e10) != op2(e23, e20)) 61.66/62.11 <= (~ (h3(op1(e13, e10)) = op2(h3(e13), h3(e10))) & 61.66/62.11 (op1(e13, e10) = e10)), 61.66/62.11 inference('s_sup-', [status(thm)], ['469', '478'])). 61.66/62.11 tff('480', plain, h3(e10) = e20, 61.66/62.11 inference('s_sup+', [status(thm)], ['472', '476'])). 61.66/62.11 tff('481', plain, 61.66/62.11 (e20 != op2(e23, e20)) 61.66/62.11 <= (~ (h3(op1(e13, e10)) = op2(h3(e13), h3(e10))) & 61.66/62.11 (op1(e13, e10) = e10)), 61.66/62.11 inference('demod', [status(thm)], ['479', '480'])). 61.66/62.11 tff('482', plain, 61.66/62.11 (e20 != e20) 61.66/62.11 <= (~ (h3(op1(e13, e10)) = op2(h3(e13), h3(e10))) & 61.66/62.11 (op1(e13, e10) = e10) & 61.66/62.11 (op2(e23, e20) = e20)), 61.66/62.11 inference('s_sup-', [status(thm)], ['468', '481'])). 61.66/62.11 tff('483', plain, 61.66/62.11 (h3(op1(e13, e10)) = op2(h3(e13), h3(e10))) | ~ (op2(e23, e20) = e20) | 61.66/62.11 ~ (op1(e13, e10) = e10), inference('simplify', [status(thm)], ['482'])). 61.66/62.11 tff('484', plain, (e22 = op2(e22, e20)) <= ((e22 = op2(e22, e20))), 61.66/62.11 inference('split', [status(esa)], ['212'])). 61.66/62.11 tff('485', plain, (e12 = op1(e12, e10)) <= ((e12 = op1(e12, e10))), 61.66/62.11 inference('split', [status(esa)], ['132'])). 61.66/62.11 tff('486', plain, 61.66/62.11 (h3(op1(e12, e10)) != op2(e22, h3(e10))) 61.66/62.11 <= (~ (h3(op1(e12, e10)) = op2(e22, h3(e10)))), 61.66/62.11 inference('split', [status(esa)], ['451'])). 61.66/62.11 tff('487', plain, h3(e10) = e20, 61.66/62.11 inference('s_sup+', [status(thm)], ['472', '476'])). 61.66/62.11 tff('488', plain, 61.66/62.11 (h3(op1(e12, e10)) != op2(e22, e20)) 61.66/62.11 <= (~ (h3(op1(e12, e10)) = op2(e22, h3(e10)))), 61.66/62.11 inference('demod', [status(thm)], ['486', '487'])). 61.66/62.11 tff('489', plain, 61.66/62.11 (h3(e12) != op2(e22, e20)) 61.66/62.11 <= (~ (h3(op1(e12, e10)) = op2(e22, h3(e10))) & (e12 = op1(e12, e10))), 61.66/62.11 inference('s_sup-', [status(thm)], ['485', '488'])). 61.66/62.11 tff('490', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.11 tff('491', plain, 61.66/62.11 (e22 != op2(e22, e20)) 61.66/62.11 <= (~ (h3(op1(e12, e10)) = op2(e22, h3(e10))) & (e12 = op1(e12, e10))), 61.66/62.11 inference('demod', [status(thm)], ['489', '490'])). 61.66/62.11 tff('492', plain, 61.66/62.11 (e22 != e22) 61.66/62.11 <= (~ (h3(op1(e12, e10)) = op2(e22, h3(e10))) & 61.66/62.11 (e12 = op1(e12, e10)) & 61.66/62.11 (e22 = op2(e22, e20))), 61.66/62.11 inference('s_sup-', [status(thm)], ['484', '491'])). 61.66/62.11 tff('493', plain, 61.66/62.11 (h3(op1(e12, e10)) = op2(e22, h3(e10))) | ~ (e22 = op2(e22, e20)) | 61.66/62.11 ~ (e12 = op1(e12, e10)), inference('simplify', [status(thm)], ['492'])). 61.66/62.11 tff('494', plain, (op2(e22, e23) = e20) <= ((op2(e22, e23) = e20)), 61.66/62.11 inference('split', [status(esa)], ['63'])). 61.66/62.11 tff('495', plain, (op1(e12, e13) = e10) <= ((op1(e12, e13) = e10)), 61.66/62.11 inference('split', [status(esa)], ['282'])). 61.66/62.11 tff('496', plain, 61.66/62.11 (op2(e22, h3(e13)) != h3(op1(e12, e13))) 61.66/62.11 <= (~ (op2(e22, h3(e13)) = h3(op1(e12, e13)))), 61.66/62.11 inference('split', [status(esa)], ['451'])). 61.66/62.11 tff('497', plain, e23 = h3(e13), 61.66/62.11 inference('s_sup+', [status(thm)], ['453', '458'])). 61.66/62.11 tff('498', plain, 61.66/62.11 (op2(e22, e23) != h3(op1(e12, e13))) 61.66/62.11 <= (~ (op2(e22, h3(e13)) = h3(op1(e12, e13)))), 61.66/62.11 inference('demod', [status(thm)], ['496', '497'])). 61.66/62.11 tff('499', plain, 61.66/62.11 (op2(e22, e23) != h3(e10)) 61.66/62.11 <= (~ (op2(e22, h3(e13)) = h3(op1(e12, e13))) & (op1(e12, e13) = e10)), 61.66/62.11 inference('s_sup-', [status(thm)], ['495', '498'])). 61.66/62.11 tff('500', plain, h3(e10) = e20, 61.66/62.11 inference('s_sup+', [status(thm)], ['472', '476'])). 61.66/62.11 tff('501', plain, 61.66/62.11 (op2(e22, e23) != e20) 61.66/62.11 <= (~ (op2(e22, h3(e13)) = h3(op1(e12, e13))) & (op1(e12, e13) = e10)), 61.66/62.11 inference('demod', [status(thm)], ['499', '500'])). 61.66/62.11 tff('502', plain, 61.66/62.11 (e20 != e20) 61.66/62.11 <= (~ (op2(e22, h3(e13)) = h3(op1(e12, e13))) & 61.66/62.11 (op2(e22, e23) = e20) & 61.66/62.12 (op1(e12, e13) = e10)), 61.66/62.12 inference('s_sup-', [status(thm)], ['494', '501'])). 61.66/62.12 tff('503', plain, 61.66/62.12 (op2(e22, h3(e13)) = h3(op1(e12, e13))) | ~ (op2(e22, e23) = e20) | 61.66/62.12 ~ (op1(e12, e13) = e10), inference('simplify', [status(thm)], ['502'])). 61.66/62.12 tff('504', plain, (e23 = h1(e11)) <= ((e23 = h1(e11))), 61.66/62.12 inference('split', [status(esa)], ['145'])). 61.66/62.12 tff('505', plain, (op1(e10, e10) = e13) <= ((e13 = op1(e10, e10))), 61.66/62.12 inference('split', [status(esa)], ['230'])). 61.66/62.12 tff('506', plain, 61.66/62.12 (op2(h3(e10), h3(e10)) != h3(op1(e10, e10))) 61.66/62.12 <= (~ (op2(h3(e10), h3(e10)) = h3(op1(e10, e10)))), 61.66/62.12 inference('split', [status(esa)], ['451'])). 61.66/62.12 tff('507', plain, h3(e10) = e20, 61.66/62.12 inference('s_sup+', [status(thm)], ['472', '476'])). 61.66/62.12 tff('508', plain, h3(e10) = e20, 61.66/62.12 inference('s_sup+', [status(thm)], ['472', '476'])). 61.66/62.12 tff('509', plain, op2(op2(e21, e21), op2(e21, e21)) = h2(e10), 61.66/62.12 inference('cnf', [status(esa)], [ax15])). 61.66/62.12 tff('510', plain, op2(e21, e21) = h2(e11), 61.66/62.12 inference('cnf', [status(esa)], [ax15])). 61.66/62.12 tff('511', plain, op2(e21, e21) = h2(e11), 61.66/62.12 inference('cnf', [status(esa)], [ax15])). 61.66/62.12 tff('512', plain, op2(h2(e11), h2(e11)) = h2(e10), 61.66/62.12 inference('demod', [status(thm)], ['509', '510', '511'])). 61.66/62.12 tff('513', plain, e20 = h2(e11), 61.66/62.12 inference('s_sup+', [status(thm)], ['153', '154'])). 61.66/62.12 tff('514', plain, e20 = h2(e11), 61.66/62.12 inference('s_sup+', [status(thm)], ['153', '154'])). 61.66/62.12 tff('515', plain, op2(e20, e20) = h2(e10), 61.66/62.12 inference('demod', [status(thm)], ['512', '513', '514'])). 61.66/62.12 tff('516', plain, 61.66/62.12 (h2(e10) != h3(op1(e10, e10))) 61.66/62.12 <= (~ (op2(h3(e10), h3(e10)) = h3(op1(e10, e10)))), 61.66/62.12 inference('demod', [status(thm)], ['506', '507', '508', '515'])). 61.66/62.12 tff('517', plain, 61.66/62.12 (h2(e10) != h3(e13)) 61.66/62.12 <= (~ (op2(h3(e10), h3(e10)) = h3(op1(e10, e10))) & 61.66/62.12 (e13 = op1(e10, e10))), 61.66/62.12 inference('s_sup-', [status(thm)], ['505', '516'])). 61.66/62.12 tff('518', plain, e23 = h3(e13), 61.66/62.12 inference('s_sup+', [status(thm)], ['453', '458'])). 61.66/62.12 tff('519', plain, 61.66/62.12 (h2(e10) != e23) 61.66/62.12 <= (~ (op2(h3(e10), h3(e10)) = h3(op1(e10, e10))) & 61.66/62.12 (e13 = op1(e10, e10))), 61.66/62.12 inference('demod', [status(thm)], ['517', '518'])). 61.66/62.12 tff('520', plain, op2(e20, e20) = h2(e10), 61.66/62.12 inference('demod', [status(thm)], ['512', '513', '514'])). 61.66/62.12 tff('521', plain, h1(e11) = op2(e20, e20), 61.66/62.12 inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('522', plain, h1(e11) = h2(e10), 61.66/62.12 inference('s_sup+', [status(thm)], ['520', '521'])). 61.66/62.12 tff('523', plain, 61.66/62.12 (h1(e11) != e23) 61.66/62.12 <= (~ (op2(h3(e10), h3(e10)) = h3(op1(e10, e10))) & 61.66/62.12 (e13 = op1(e10, e10))), 61.66/62.12 inference('demod', [status(thm)], ['519', '522'])). 61.66/62.12 tff('524', plain, 61.66/62.12 (e23 != e23) 61.66/62.12 <= (~ (op2(h3(e10), h3(e10)) = h3(op1(e10, e10))) & 61.66/62.12 (e13 = op1(e10, e10)) & 61.66/62.12 (e23 = h1(e11))), 61.66/62.12 inference('s_sup-', [status(thm)], ['504', '523'])). 61.66/62.12 tff('525', plain, 61.66/62.12 (op2(h3(e10), h3(e10)) = h3(op1(e10, e10))) | ~ (e23 = h1(e11)) | 61.66/62.12 ~ (e13 = op1(e10, e10)), inference('simplify', [status(thm)], ['524'])). 61.66/62.12 tff('526', plain, 61.66/62.12 (op2(e23, e23) = e22 61.66/62.12 | e22 = op2(e22, e23) 61.66/62.12 | op2(e21, e23) = e22 61.66/62.12 | e22 = op2(e20, e23)), 61.66/62.12 inference('cnf', [status(esa)], [ax4])). 61.66/62.12 tff('527', plain, (e22 = op2(e20, e23)) <= ((e22 = op2(e20, e23))), 61.66/62.12 inference('split', [status(esa)], ['526'])). 61.66/62.12 tff('528', plain, (op1(e10, e13) = e12) <= ((op1(e10, e13) = e12)), 61.66/62.12 inference('split', [status(esa)], ['0'])). 61.66/62.12 tff('529', plain, 61.66/62.12 (h3(op1(e11, e10)) != op2(h3(e11), h3(e10)) 61.66/62.12 | h3(op1(e11, e11)) != op2(h3(e11), h3(e11)) 61.66/62.12 | h3(op1(e13, e10)) != op2(h3(e13), h3(e10)) 61.66/62.12 | op2(h3(e13), h3(e11)) != h3(op1(e13, e11)) 61.66/62.12 | op2(h3(e13), h3(e12)) != h3(op1(e13, e12)) 61.66/62.12 | h3(op1(e13, e13)) != op2(h3(e13), h3(e13)) 61.66/62.12 | h3(e11) != e23 61.66/62.12 | e22 != h3(e13) 61.66/62.12 | h3(e10) != e21 61.66/62.12 | e20 != h3(e11) 61.66/62.12 | op2(h3(e12), h3(e13)) != h3(op1(e12, e13)) 61.66/62.12 | op2(h3(e12), h3(e12)) != h3(op1(e12, e12)) 61.66/62.12 | op2(h3(e12), h3(e11)) != h3(op1(e12, e11)) 61.66/62.12 | h3(op1(e12, e10)) != op2(h3(e12), h3(e10)) 61.66/62.12 | h3(op1(e11, e13)) != op2(h3(e11), h3(e13)) 61.66/62.12 | op2(h3(e11), h3(e12)) != h3(op1(e11, e12)) 61.66/62.12 | op2(h3(e10), h3(e13)) != h3(op1(e10, e13)) 61.66/62.12 | h3(op1(e10, e12)) != op2(h3(e10), h3(e12)) 61.66/62.12 | h3(op1(e10, e11)) != op2(h3(e10), h3(e11)) 61.66/62.12 | op2(h3(e10), h3(e10)) != h3(op1(e10, e10))), 61.66/62.12 inference('cnf', [status(esa)], [zf_stmt_5])). 61.66/62.12 tff('530', plain, e10 = op1(e11, e11), 61.66/62.12 inference('demod', [status(thm)], ['4', '5', '6'])). 61.66/62.12 tff('531', plain, h3(e10) = op2(h3(e11), h3(e11)), 61.66/62.12 inference('demod', [status(thm)], ['434', '435', '436'])). 61.66/62.12 tff('532', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.12 tff('533', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.12 tff('534', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.12 tff('535', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.12 tff('536', plain, e21 = op2(e22, e22), 61.66/62.12 inference('cnf', [status(esa)], [ax13])). 61.66/62.12 tff('537', plain, e11 = op1(e12, e12), 61.66/62.12 inference('cnf', [status(esa)], [ax12])). 61.66/62.12 tff('538', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.12 tff('539', plain, op2(e22, h3(e11)) = e23, 61.66/62.12 inference('demod', [status(thm)], ['262', '263'])). 61.66/62.12 tff('540', plain, op1(e12, e11) = e13, 61.66/62.12 inference('demod', [status(thm)], ['10', '11'])). 61.66/62.12 tff('541', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.12 tff('542', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.12 tff('543', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.12 tff('544', plain, 61.66/62.12 (h3(op1(e11, e10)) != op2(h3(e11), h3(e10)) 61.66/62.12 | h3(e10) != h3(e10) 61.66/62.12 | h3(op1(e13, e10)) != op2(h3(e13), h3(e10)) 61.66/62.12 | op2(h3(e13), h3(e11)) != h3(op1(e13, e11)) 61.66/62.12 | op2(h3(e13), e22) != h3(op1(e13, e12)) 61.66/62.12 | h3(op1(e13, e13)) != op2(h3(e13), h3(e13)) 61.66/62.12 | h3(e11) != e23 61.66/62.12 | e22 != h3(e13) 61.66/62.12 | h3(e10) != e21 61.66/62.12 | e20 != h3(e11) 61.66/62.12 | op2(e22, h3(e13)) != h3(op1(e12, e13)) 61.66/62.12 | e21 != h3(e11) 61.66/62.12 | e23 != h3(e13) 61.66/62.12 | h3(op1(e12, e10)) != op2(e22, h3(e10)) 61.66/62.12 | h3(op1(e11, e13)) != op2(h3(e11), h3(e13)) 61.66/62.12 | op2(h3(e11), e22) != h3(op1(e11, e12)) 61.66/62.12 | op2(h3(e10), h3(e13)) != h3(op1(e10, e13)) 61.66/62.12 | h3(op1(e10, e12)) != op2(h3(e10), e22) 61.66/62.12 | h3(op1(e10, e11)) != op2(h3(e10), h3(e11)) 61.66/62.12 | op2(h3(e10), h3(e10)) != h3(op1(e10, e10))), 61.66/62.12 inference('demod', [status(thm)], 61.66/62.12 ['529', '530', '531', '532', '533', '534', '535', '536', 61.66/62.12 '537', '538', '539', '540', '541', '542', '543'])). 61.66/62.12 tff('545', plain, 61.66/62.12 (op2(h3(e10), h3(e10)) != h3(op1(e10, e10)) 61.66/62.12 | h3(op1(e10, e11)) != op2(h3(e10), h3(e11)) 61.66/62.12 | h3(op1(e10, e12)) != op2(h3(e10), e22) 61.66/62.12 | op2(h3(e10), h3(e13)) != h3(op1(e10, e13)) 61.66/62.12 | op2(h3(e11), e22) != h3(op1(e11, e12)) 61.66/62.12 | h3(op1(e11, e13)) != op2(h3(e11), h3(e13)) 61.66/62.12 | h3(op1(e12, e10)) != op2(e22, h3(e10)) 61.66/62.12 | e23 != h3(e13) 61.66/62.12 | e21 != h3(e11) 61.66/62.12 | op2(e22, h3(e13)) != h3(op1(e12, e13)) 61.66/62.12 | e20 != h3(e11) 61.66/62.12 | h3(e10) != e21 61.66/62.12 | e22 != h3(e13) 61.66/62.12 | h3(e11) != e23 61.66/62.12 | h3(op1(e13, e13)) != op2(h3(e13), h3(e13)) 61.66/62.12 | op2(h3(e13), e22) != h3(op1(e13, e12)) 61.66/62.12 | op2(h3(e13), h3(e11)) != h3(op1(e13, e11)) 61.66/62.12 | h3(op1(e13, e10)) != op2(h3(e13), h3(e10)) 61.66/62.12 | h3(op1(e11, e10)) != op2(h3(e11), h3(e10))), 61.66/62.12 inference('simplify', [status(thm)], ['544'])). 61.66/62.12 tff('546', plain, 61.66/62.12 (op2(h3(e10), h3(e13)) != h3(op1(e10, e13))) 61.66/62.12 <= (~ (op2(h3(e10), h3(e13)) = h3(op1(e10, e13)))), 61.66/62.12 inference('split', [status(esa)], ['545'])). 61.66/62.12 tff('547', plain, h3(e10) = e20, 61.66/62.12 inference('s_sup+', [status(thm)], ['472', '476'])). 61.66/62.12 tff('548', plain, e23 = h3(e13), 61.66/62.12 inference('s_sup+', [status(thm)], ['453', '458'])). 61.66/62.12 tff('549', plain, 61.66/62.12 (op2(e20, e23) != h3(op1(e10, e13))) 61.66/62.12 <= (~ (op2(h3(e10), h3(e13)) = h3(op1(e10, e13)))), 61.66/62.12 inference('demod', [status(thm)], ['546', '547', '548'])). 61.66/62.12 tff('550', plain, 61.66/62.12 (op2(e20, e23) != h3(e12)) 61.66/62.12 <= (~ (op2(h3(e10), h3(e13)) = h3(op1(e10, e13))) & 61.66/62.12 (op1(e10, e13) = e12)), 61.66/62.12 inference('s_sup-', [status(thm)], ['528', '549'])). 61.66/62.12 tff('551', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.12 tff('552', plain, 61.66/62.12 (op2(e20, e23) != e22) 61.66/62.12 <= (~ (op2(h3(e10), h3(e13)) = h3(op1(e10, e13))) & 61.66/62.12 (op1(e10, e13) = e12)), 61.66/62.12 inference('demod', [status(thm)], ['550', '551'])). 61.66/62.12 tff('553', plain, 61.66/62.12 (e22 != e22) 61.66/62.12 <= (~ (op2(h3(e10), h3(e13)) = h3(op1(e10, e13))) & 61.66/62.12 (e22 = op2(e20, e23)) & 61.66/62.12 (op1(e10, e13) = e12)), 61.66/62.12 inference('s_sup-', [status(thm)], ['527', '552'])). 61.66/62.12 tff('554', plain, 61.66/62.12 (op2(h3(e10), h3(e13)) = h3(op1(e10, e13))) | ~ (op1(e10, e13) = e12) | 61.66/62.12 ~ (e22 = op2(e20, e23)), inference('simplify', [status(thm)], ['553'])). 61.66/62.12 tff('555', plain, 61.66/62.12 (e10 != op1(e10, e12) | e12 != op1(e10, e10) | ~ zip_tseitin_1), 61.66/62.12 inference('cnf', [status(esa)], [zf_stmt_4])). 61.66/62.12 tff('556', plain, 61.66/62.12 ~ (e12 = op1(e10, e10)) | ~ ( zip_tseitin_1) | ~ (e10 = op1(e10, e12)), 61.66/62.12 inference('split', [status(esa)], ['555'])). 61.66/62.12 tff('557', plain, 61.66/62.12 (h4(op1(e10, e12)) != op2(h4(e10), h4(e12)) 61.66/62.12 | op2(h4(e11), h4(e10)) != h4(op1(e11, e10)) 61.66/62.12 | h4(op1(e11, e11)) != op2(h4(e11), h4(e11)) 61.66/62.12 | h4(op1(e11, e12)) != op2(h4(e11), h4(e12)) 61.66/62.12 | op2(h4(e11), h4(e13)) != h4(op1(e11, e13)) 61.66/62.12 | h4(op1(e12, e12)) != op2(h4(e12), h4(e12)) 61.66/62.12 | op2(h4(e12), h4(e13)) != h4(op1(e12, e13)) 61.66/62.12 | h4(op1(e13, e11)) != op2(h4(e13), h4(e11)) 61.66/62.12 | op2(h4(e13), h4(e12)) != h4(op1(e13, e12)) 61.66/62.12 | h4(e10) != e20 61.66/62.12 | h4(e12) != e23 61.66/62.12 | e22 != h4(e13) 61.66/62.12 | h4(e11) != e21 61.66/62.12 | op2(h4(e13), h4(e13)) != h4(op1(e13, e13)) 61.66/62.12 | op2(h4(e13), h4(e10)) != h4(op1(e13, e10)) 61.66/62.12 | op2(h4(e12), h4(e11)) != h4(op1(e12, e11)) 61.66/62.12 | h4(op1(e12, e10)) != op2(h4(e12), h4(e10)) 61.66/62.12 | h4(op1(e10, e13)) != op2(h4(e10), h4(e13)) 61.66/62.12 | op2(h4(e10), h4(e11)) != h4(op1(e10, e11)) 61.66/62.12 | op2(h4(e10), h4(e10)) != h4(op1(e10, e10))), 61.66/62.12 inference('cnf', [status(esa)], [zf_stmt_5])). 61.66/62.12 tff('558', plain, 61.66/62.12 ~ (h4(op1(e10, e12)) = op2(h4(e10), h4(e12))) | 61.66/62.12 ~ (op2(h4(e12), h4(e13)) = h4(op1(e12, e13))) | 61.66/62.12 ~ (op2(h4(e12), h4(e11)) = h4(op1(e12, e11))) | ~ (e21 = h4(e11)) | 61.66/62.12 ~ (h4(op1(e11, e11)) = op2(h4(e11), h4(e11))) | ~ (e22 = h4(e13)) | 61.66/62.12 ~ (h4(e10) = e20) | ~ (op2(h4(e10), h4(e11)) = h4(op1(e10, e11))) | 61.66/62.12 ~ (h4(op1(e12, e10)) = op2(h4(e12), h4(e10))) | 61.66/62.12 ~ (h4(op1(e12, e12)) = op2(h4(e12), h4(e12))) | 61.66/62.12 ~ (op2(h4(e13), h4(e12)) = h4(op1(e13, e12))) | 61.66/62.12 ~ (h4(op1(e11, e12)) = op2(h4(e11), h4(e12))) | 61.66/62.12 ~ (op2(h4(e13), h4(e13)) = h4(op1(e13, e13))) | 61.66/62.12 ~ (op2(h4(e11), h4(e13)) = h4(op1(e11, e13))) | 61.66/62.12 ~ (op2(h4(e13), h4(e10)) = h4(op1(e13, e10))) | 61.66/62.12 ~ (h4(op1(e13, e11)) = op2(h4(e13), h4(e11))) | ~ (h4(e12) = e23) | 61.66/62.12 ~ (op2(h4(e10), h4(e10)) = h4(op1(e10, e10))) | 61.66/62.12 ~ (h4(op1(e10, e13)) = op2(h4(e10), h4(e13))) | 61.66/62.12 ~ (op2(h4(e11), h4(e10)) = h4(op1(e11, e10))), 61.66/62.12 inference('split', [status(esa)], ['557'])). 61.66/62.12 tff('559', plain, 61.66/62.12 (op2(h4(e12), h4(e11)) != h4(op1(e12, e11))) 61.66/62.12 <= (~ (op2(h4(e12), h4(e11)) = h4(op1(e12, e11)))), 61.66/62.12 inference('split', [status(esa)], ['114'])). 61.66/62.12 tff('560', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.12 tff('561', plain, h4(e13) = op2(e23, h4(e11)), 61.66/62.12 inference('demod', [status(thm)], ['84', '85'])). 61.66/62.12 tff('562', plain, op1(e12, e11) = e13, 61.66/62.12 inference('demod', [status(thm)], ['10', '11'])). 61.66/62.12 tff('563', plain, 61.66/62.12 (h4(e13) != h4(e13)) <= (~ (op2(h4(e12), h4(e11)) = h4(op1(e12, e11)))), 61.66/62.12 inference('demod', [status(thm)], ['559', '560', '561', '562'])). 61.66/62.12 tff('564', plain, (op2(h4(e12), h4(e11)) = h4(op1(e12, e11))), 61.66/62.12 inference('simplify', [status(thm)], ['563'])). 61.66/62.12 tff('565', plain, 61.66/62.12 (h4(op1(e11, e11)) != op2(h4(e11), h4(e11))) 61.66/62.12 <= (~ (h4(op1(e11, e11)) = op2(h4(e11), h4(e11)))), 61.66/62.12 inference('split', [status(esa)], ['114'])). 61.66/62.12 tff('566', plain, e10 = op1(e11, e11), 61.66/62.12 inference('demod', [status(thm)], ['4', '5', '6'])). 61.66/62.12 tff('567', plain, op2(h4(e11), h4(e11)) = h4(e10), 61.66/62.12 inference('demod', [status(thm)], ['72', '73', '74'])). 61.66/62.12 tff('568', plain, 61.66/62.12 (h4(e10) != h4(e10)) <= (~ (h4(op1(e11, e11)) = op2(h4(e11), h4(e11)))), 61.66/62.12 inference('demod', [status(thm)], ['565', '566', '567'])). 61.66/62.12 tff('569', plain, (h4(op1(e11, e11)) = op2(h4(e11), h4(e11))), 61.66/62.12 inference('simplify', [status(thm)], ['568'])). 61.66/62.12 tff('570', plain, 61.66/62.12 (h4(op1(e12, e12)) != op2(h4(e12), h4(e12))) 61.66/62.12 <= (~ (h4(op1(e12, e12)) = op2(h4(e12), h4(e12)))), 61.66/62.12 inference('split', [status(esa)], ['114'])). 61.66/62.12 tff('571', plain, e11 = op1(e12, e12), 61.66/62.12 inference('cnf', [status(esa)], [ax12])). 61.66/62.12 tff('572', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.12 tff('573', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.12 tff('574', plain, op2(e23, e23) = h4(e11), 61.66/62.12 inference('cnf', [status(esa)], [ax17])). 61.66/62.12 tff('575', plain, 61.66/62.12 (h4(e11) != h4(e11)) <= (~ (h4(op1(e12, e12)) = op2(h4(e12), h4(e12)))), 61.66/62.12 inference('demod', [status(thm)], ['570', '571', '572', '573', '574'])). 61.66/62.12 tff('576', plain, (h4(op1(e12, e12)) = op2(h4(e12), h4(e12))), 61.66/62.12 inference('simplify', [status(thm)], ['575'])). 61.66/62.12 tff('577', plain, 61.66/62.12 (h4(op1(e10, e12)) != op2(h4(e10), h4(e12)) 61.66/62.12 | op2(h4(e11), h4(e10)) != h4(op1(e11, e10)) 61.66/62.12 | h4(op1(e11, e11)) != op2(h4(e11), h4(e11)) 61.66/62.12 | h4(op1(e11, e12)) != op2(h4(e11), h4(e12)) 61.66/62.12 | op2(h4(e11), h4(e13)) != h4(op1(e11, e13)) 61.66/62.12 | h4(op1(e12, e12)) != op2(h4(e12), h4(e12)) 61.66/62.12 | op2(h4(e12), h4(e13)) != h4(op1(e12, e13)) 61.66/62.12 | h4(op1(e13, e11)) != op2(h4(e13), h4(e11)) 61.66/62.12 | op2(h4(e13), h4(e12)) != h4(op1(e13, e12)) 61.66/62.12 | h4(e10) != e20 61.66/62.12 | h4(e12) != e23 61.66/62.12 | h4(e12) != e22 61.66/62.12 | h4(e11) != e21 61.66/62.12 | op2(h4(e13), h4(e13)) != h4(op1(e13, e13)) 61.66/62.12 | op2(h4(e13), h4(e10)) != h4(op1(e13, e10)) 61.66/62.12 | op2(h4(e12), h4(e11)) != h4(op1(e12, e11)) 61.66/62.12 | h4(op1(e12, e10)) != op2(h4(e12), h4(e10)) 61.66/62.12 | h4(op1(e10, e13)) != op2(h4(e10), h4(e13)) 61.66/62.12 | op2(h4(e10), h4(e11)) != h4(op1(e10, e11)) 61.66/62.12 | op2(h4(e10), h4(e10)) != h4(op1(e10, e10))), 61.66/62.12 inference('cnf', [status(esa)], [zf_stmt_5])). 61.66/62.12 tff('578', plain, (h4(e12) != e23) <= (~ (h4(e12) = e23)), 61.66/62.12 inference('split', [status(esa)], ['577'])). 61.66/62.12 tff('579', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.12 tff('580', plain, (e23 != e23) <= (~ (h4(e12) = e23)), 61.66/62.12 inference('demod', [status(thm)], ['578', '579'])). 61.66/62.12 tff('581', plain, (h4(e12) = e23), 61.66/62.12 inference('simplify', [status(thm)], ['580'])). 61.66/62.12 tff('582', plain, (e20 = op2(e22, e20)) <= ((e20 = op2(e22, e20))), 61.66/62.12 inference('split', [status(esa)], ['294'])). 61.66/62.12 tff('583', plain, (h4(e11) = e21) <= ((e21 = h4(e11))), 61.66/62.12 inference('split', [status(esa)], ['110'])). 61.66/62.12 tff('584', plain, h4(e13) = op2(e23, h4(e11)), 61.66/62.12 inference('demod', [status(thm)], ['84', '85'])). 61.66/62.12 tff('585', plain, (h4(e13) = op2(e23, e21)) <= ((e21 = h4(e11))), 61.66/62.12 inference('s_sup+', [status(thm)], ['583', '584'])). 61.66/62.12 tff('586', plain, (op2(e23, e21) = e22) <= ((op2(e23, e21) = e22)), 61.66/62.12 inference('split', [status(esa)], ['272'])). 61.66/62.12 tff('587', plain, 61.66/62.12 (h4(e13) = e22) <= ((e21 = h4(e11)) & (op2(e23, e21) = e22)), 61.66/62.12 inference('s_sup+', [status(thm)], ['585', '586'])). 61.66/62.12 tff('588', plain, 61.66/62.12 (op2(h4(e13), h4(e10)) != h4(e10)) 61.66/62.12 <= (~ (op2(h4(e13), h4(e10)) = h4(op1(e13, e10))) & 61.66/62.12 (op1(e13, e10) = e10)), 61.66/62.12 inference('s_sup-', [status(thm)], ['246', '247'])). 61.66/62.12 tff('589', plain, 61.66/62.12 (op2(e22, h4(e10)) != h4(e10)) 61.66/62.12 <= (~ (op2(h4(e13), h4(e10)) = h4(op1(e13, e10))) & 61.66/62.12 (op1(e13, e10) = e10) & 61.66/62.12 (e21 = h4(e11)) & 61.66/62.12 (op2(e23, e21) = e22)), 61.66/62.12 inference('s_sup-', [status(thm)], ['587', '588'])). 61.66/62.12 tff('590', plain, (h4(e11) = e21) <= ((e21 = h4(e11))), 61.66/62.12 inference('split', [status(esa)], ['110'])). 61.66/62.12 tff('591', plain, op2(h4(e11), h4(e11)) = h4(e10), 61.66/62.12 inference('demod', [status(thm)], ['72', '73', '74'])). 61.66/62.12 tff('592', plain, (op2(e21, e21) = h4(e10)) <= ((e21 = h4(e11))), 61.66/62.12 inference('s_sup+', [status(thm)], ['590', '591'])). 61.66/62.12 tff('593', plain, op2(e21, e21) = e20, 61.66/62.12 inference('demod', [status(thm)], ['150', '151', '152'])). 61.66/62.12 tff('594', plain, (h4(e10) = e20) <= ((e21 = h4(e11))), 61.66/62.12 inference('s_sup+', [status(thm)], ['592', '593'])). 61.66/62.12 tff('595', plain, (h4(e10) = e20) <= ((e21 = h4(e11))), 61.66/62.12 inference('s_sup+', [status(thm)], ['592', '593'])). 61.66/62.12 tff('596', plain, 61.66/62.12 (op2(e22, e20) != e20) 61.66/62.12 <= (~ (op2(h4(e13), h4(e10)) = h4(op1(e13, e10))) & 61.66/62.12 (op1(e13, e10) = e10) & 61.66/62.12 (e21 = h4(e11)) & 61.66/62.12 (op2(e23, e21) = e22)), 61.66/62.12 inference('demod', [status(thm)], ['589', '594', '595'])). 61.66/62.12 tff('597', plain, 61.66/62.12 (e20 != e20) 61.66/62.12 <= (~ (op2(h4(e13), h4(e10)) = h4(op1(e13, e10))) & 61.66/62.12 (op1(e13, e10) = e10) & 61.66/62.12 (e20 = op2(e22, e20)) & 61.66/62.12 (e21 = h4(e11)) & 61.66/62.12 (op2(e23, e21) = e22)), 61.66/62.12 inference('s_sup-', [status(thm)], ['582', '596'])). 61.66/62.12 tff('598', plain, 61.66/62.12 (op2(h4(e13), h4(e10)) = h4(op1(e13, e10))) | ~ (e20 = op2(e22, e20)) | 61.66/62.12 ~ (e21 = h4(e11)) | ~ (op1(e13, e10) = e10) | ~ (op2(e23, e21) = e22), 61.66/62.12 inference('simplify', [status(thm)], ['597'])). 61.66/62.12 tff('599', plain, (e20 = op2(e20, e23)) <= ((op2(e20, e23) = e20)), 61.66/62.12 inference('split', [status(esa)], ['63'])). 61.66/62.12 tff('600', plain, (h4(e10) = e20) <= ((e21 = h4(e11))), 61.66/62.12 inference('s_sup+', [status(thm)], ['592', '593'])). 61.66/62.12 tff('601', plain, 61.66/62.12 (h4(e10) != op2(h4(e10), e23)) 61.66/62.12 <= (~ (h4(op1(e10, e12)) = op2(h4(e10), h4(e12))) & 61.66/62.12 (e10 = op1(e10, e12))), 61.66/62.12 inference('s_sup-', [status(thm)], ['216', '219'])). 61.66/62.12 tff('602', plain, 61.66/62.12 (e20 != op2(e20, e23)) 61.66/62.12 <= (~ (h4(op1(e10, e12)) = op2(h4(e10), h4(e12))) & 61.66/62.12 (e10 = op1(e10, e12)) & 61.66/62.12 (e21 = h4(e11))), 61.66/62.12 inference('s_sup-', [status(thm)], ['600', '601'])). 61.66/62.12 tff('603', plain, 61.66/62.12 (e20 != e20) 61.66/62.12 <= (~ (h4(op1(e10, e12)) = op2(h4(e10), h4(e12))) & 61.66/62.12 (e10 = op1(e10, e12)) & 61.66/62.12 (op2(e20, e23) = e20) & 61.66/62.12 (e21 = h4(e11))), 61.66/62.12 inference('s_sup-', [status(thm)], ['599', '602'])). 61.66/62.12 tff('604', plain, 61.66/62.12 (h4(op1(e10, e12)) = op2(h4(e10), h4(e12))) | ~ (op2(e20, e23) = e20) | 61.66/62.12 ~ (e10 = op1(e10, e12)) | ~ (e21 = h4(e11)), 61.66/62.12 inference('simplify', [status(thm)], ['603'])). 61.66/62.12 tff('605', plain, (op2(e22, e23) = e22) <= ((op2(e22, e23) = e22)), 61.66/62.12 inference('split', [status(esa)], ['212'])). 61.66/62.12 tff('606', plain, 61.66/62.12 (h4(e13) = e22) <= ((e21 = h4(e11)) & (op2(e23, e21) = e22)), 61.66/62.12 inference('s_sup+', [status(thm)], ['585', '586'])). 61.66/62.12 tff('607', plain, 61.66/62.12 (op2(h4(e13), e23) != h4(e13)) 61.66/62.12 <= (~ (op2(h4(e13), h4(e12)) = h4(op1(e13, e12))) & 61.66/62.12 (op1(e13, e12) = e13)), 61.66/62.12 inference('s_sup-', [status(thm)], ['321', '324'])). 61.66/62.12 tff('608', plain, 61.66/62.12 (op2(e22, e23) != e22) 61.66/62.12 <= (~ (op2(h4(e13), h4(e12)) = h4(op1(e13, e12))) & 61.66/62.12 (op1(e13, e12) = e13) & 61.66/62.12 (e21 = h4(e11)) & 61.66/62.12 (op2(e23, e21) = e22)), 61.66/62.12 inference('s_sup-', [status(thm)], ['606', '607'])). 61.66/62.12 tff('609', plain, 61.66/62.12 (e22 != e22) 61.66/62.12 <= (~ (op2(h4(e13), h4(e12)) = h4(op1(e13, e12))) & 61.66/62.12 (op1(e13, e12) = e13) & 61.66/62.12 (op2(e22, e23) = e22) & 61.66/62.12 (e21 = h4(e11)) & 61.66/62.12 (op2(e23, e21) = e22)), 61.66/62.12 inference('s_sup-', [status(thm)], ['605', '608'])). 61.66/62.12 tff('610', plain, 61.66/62.12 (op2(h4(e13), h4(e12)) = h4(op1(e13, e12))) | ~ (op2(e22, e23) = e22) | 61.66/62.12 ~ (e21 = h4(e11)) | ~ (op2(e23, e21) = e22) | ~ (op1(e13, e12) = e13), 61.66/62.12 inference('simplify', [status(thm)], ['609'])). 61.66/62.12 tff('611', plain, 61.66/62.12 (op2(e20, e22) = e23 61.66/62.12 | e23 = op2(e21, e22) 61.66/62.12 | op2(e22, e22) = e23 61.66/62.12 | op2(e23, e22) = e23), 61.66/62.12 inference('cnf', [status(esa)], [ax4])). 61.66/62.12 tff('612', plain, e21 = op2(e22, e22), 61.66/62.12 inference('cnf', [status(esa)], [ax13])). 61.66/62.12 tff('613', plain, 61.66/62.12 (op2(e20, e22) = e23 61.66/62.12 | e23 = op2(e21, e22) 61.66/62.12 | e21 = e23 61.66/62.12 | op2(e23, e22) = e23), 61.66/62.12 inference('demod', [status(thm)], ['611', '612'])). 61.66/62.12 tff('614', plain, e23 != e21, inference('cnf', [status(esa)], [ax8])). 61.66/62.12 tff('615', plain, 61.66/62.12 (op2(e20, e22) = e23 | e23 = op2(e21, e22) | op2(e23, e22) = e23), 61.66/62.12 inference('simplify_reflect-', [status(thm)], ['613', '614'])). 61.66/62.12 tff('616', plain, (op2(e20, e22) = e23) <= ((op2(e20, e22) = e23)), 61.66/62.12 inference('split', [status(esa)], ['615'])). 61.66/62.12 tff('617', plain, 61.66/62.12 (op2(e20, e23) = e21 61.66/62.12 | op2(e21, e23) = e21 61.66/62.12 | e21 = op2(e22, e23) 61.66/62.12 | op2(e23, e23) = e21), 61.66/62.12 inference('cnf', [status(esa)], [ax4])). 61.66/62.12 tff('618', plain, op2(e22, e23) != op2(e22, e22), 61.66/62.12 inference('cnf', [status(esa)], [ax6])). 61.66/62.12 tff('619', plain, e21 = op2(e22, e22), 61.66/62.12 inference('cnf', [status(esa)], [ax13])). 61.66/62.12 tff('620', plain, op2(e22, e23) != e21, 61.66/62.12 inference('demod', [status(thm)], ['618', '619'])). 61.66/62.12 tff('621', plain, 61.66/62.12 (op2(e20, e23) = e21 | op2(e21, e23) = e21 | op2(e23, e23) = e21), 61.66/62.12 inference('simplify_reflect-', [status(thm)], ['617', '620'])). 61.66/62.12 tff('622', plain, (op2(e23, e23) = e21) <= ((op2(e23, e23) = e21)), 61.66/62.12 inference('split', [status(esa)], ['621'])). 61.66/62.12 tff('623', plain, op2(e23, e23) = h4(e11), 61.66/62.12 inference('cnf', [status(esa)], [ax17])). 61.66/62.12 tff('624', plain, (e21 = h4(e11)) <= ((op2(e23, e23) = e21)), 61.66/62.12 inference('s_sup+', [status(thm)], ['622', '623'])). 61.66/62.12 tff('625', plain, h4(e13) = op2(e23, h4(e11)), 61.66/62.12 inference('demod', [status(thm)], ['84', '85'])). 61.66/62.12 tff('626', plain, (h4(e13) = op2(e23, e21)) <= ((op2(e23, e23) = e21)), 61.66/62.12 inference('s_sup+', [status(thm)], ['624', '625'])). 61.66/62.12 tff('627', plain, (op2(e23, e21) = e22) <= ((op2(e23, e21) = e22)), 61.66/62.12 inference('split', [status(esa)], ['272'])). 61.66/62.12 tff('628', plain, 61.66/62.12 (h4(e13) = e22) <= ((op2(e23, e23) = e21) & (op2(e23, e21) = e22)), 61.66/62.12 inference('s_sup+', [status(thm)], ['626', '627'])). 61.66/62.12 tff('629', plain, 61.66/62.12 (e23 != op2(h4(e10), h4(e13))) 61.66/62.12 <= (~ (h4(op1(e10, e13)) = op2(h4(e10), h4(e13))) & 61.66/62.12 (op1(e10, e13) = e12)), 61.66/62.12 inference('demod', [status(thm)], ['257', '258'])). 61.66/62.12 tff('630', plain, 61.66/62.12 (e23 != op2(h4(e10), e22)) 61.66/62.12 <= (~ (h4(op1(e10, e13)) = op2(h4(e10), h4(e13))) & 61.66/62.12 (op2(e23, e23) = e21) & 61.66/62.12 (op2(e23, e21) = e22) & 61.66/62.12 (op1(e10, e13) = e12)), 61.66/62.12 inference('s_sup-', [status(thm)], ['628', '629'])). 61.66/62.12 tff('631', plain, (e21 = h4(e11)) <= ((op2(e23, e23) = e21)), 61.66/62.12 inference('s_sup+', [status(thm)], ['622', '623'])). 61.66/62.12 tff('632', plain, op2(h4(e11), h4(e11)) = h4(e10), 61.66/62.12 inference('demod', [status(thm)], ['72', '73', '74'])). 61.66/62.12 tff('633', plain, (op2(e21, e21) = h4(e10)) <= ((op2(e23, e23) = e21)), 61.66/62.12 inference('s_sup+', [status(thm)], ['631', '632'])). 61.66/62.12 tff('634', plain, op2(e21, e21) = e20, 61.66/62.12 inference('demod', [status(thm)], ['150', '151', '152'])). 61.66/62.12 tff('635', plain, (h4(e10) = e20) <= ((op2(e23, e23) = e21)), 61.66/62.12 inference('s_sup+', [status(thm)], ['633', '634'])). 61.66/62.12 tff('636', plain, 61.66/62.12 (e23 != op2(e20, e22)) 61.66/62.12 <= (~ (h4(op1(e10, e13)) = op2(h4(e10), h4(e13))) & 61.66/62.12 (op2(e23, e23) = e21) & 61.66/62.12 (op2(e23, e21) = e22) & 61.66/62.12 (op1(e10, e13) = e12)), 61.66/62.12 inference('demod', [status(thm)], ['630', '635'])). 61.66/62.12 tff('637', plain, 61.66/62.12 (e23 != e23) 61.66/62.12 <= (~ (h4(op1(e10, e13)) = op2(h4(e10), h4(e13))) & 61.66/62.12 (op2(e23, e23) = e21) & 61.66/62.12 (op2(e23, e21) = e22) & 61.66/62.12 (op2(e20, e22) = e23) & 61.66/62.12 (op1(e10, e13) = e12)), 61.66/62.12 inference('s_sup-', [status(thm)], ['616', '636'])). 61.66/62.12 tff('638', plain, 61.66/62.12 (h4(op1(e10, e13)) = op2(h4(e10), h4(e13))) | ~ (op2(e20, e22) = e23) | 61.66/62.12 ~ (op1(e10, e13) = e12) | ~ (op2(e23, e23) = e21) | 61.66/62.12 ~ (op2(e23, e21) = e22), inference('simplify', [status(thm)], ['637'])). 61.66/62.12 tff('639', plain, (e23 = op2(e23, e20)) <= ((e23 = op2(e23, e20))), 61.66/62.12 inference('split', [status(esa)], ['145'])). 61.66/62.12 tff('640', plain, (h4(e10) = e20) <= ((e21 = h4(e11))), 61.66/62.12 inference('s_sup+', [status(thm)], ['592', '593'])). 61.66/62.12 tff('641', plain, 61.66/62.12 (e23 != op2(e23, h4(e10))) 61.66/62.12 <= (~ (h4(op1(e12, e10)) = op2(h4(e12), h4(e10))) & 61.66/62.12 (e12 = op1(e12, e10))), 61.66/62.12 inference('demod', [status(thm)], ['137', '138'])). 61.66/62.12 tff('642', plain, 61.66/62.12 (e23 != op2(e23, e20)) 61.66/62.12 <= (~ (h4(op1(e12, e10)) = op2(h4(e12), h4(e10))) & 61.66/62.12 (e12 = op1(e12, e10)) & 61.66/62.12 (e21 = h4(e11))), 61.66/62.12 inference('s_sup-', [status(thm)], ['640', '641'])). 61.66/62.12 tff('643', plain, 61.66/62.12 (e23 != e23) 61.66/62.12 <= (~ (h4(op1(e12, e10)) = op2(h4(e12), h4(e10))) & 61.66/62.12 (e12 = op1(e12, e10)) & 61.66/62.12 (e23 = op2(e23, e20)) & 61.66/62.12 (e21 = h4(e11))), 61.66/62.12 inference('s_sup-', [status(thm)], ['639', '642'])). 61.66/62.12 tff('644', plain, 61.66/62.12 (h4(op1(e12, e10)) = op2(h4(e12), h4(e10))) | ~ (e21 = h4(e11)) | 61.66/62.12 ~ (e12 = op1(e12, e10)) | ~ (e23 = op2(e23, e20)), 61.66/62.12 inference('simplify', [status(thm)], ['643'])). 61.66/62.12 tff('645', plain, 61.66/62.12 (h4(e13) = e22) <= ((op2(e23, e23) = e21) & (op2(e23, e21) = e22)), 61.66/62.12 inference('s_sup+', [status(thm)], ['626', '627'])). 61.66/62.12 tff('646', plain, (e22 = h1(e11)) <= ((h1(e11) = e22)), 61.66/62.12 inference('split', [status(esa)], ['50'])). 61.66/62.12 tff('647', plain, (h4(e10) = e20) <= ((op2(e23, e23) = e21)), 61.66/62.12 inference('s_sup+', [status(thm)], ['633', '634'])). 61.66/62.12 tff('648', plain, 61.66/62.12 (op2(h4(e10), h4(e10)) != h4(e13)) 61.66/62.12 <= (~ (op2(h4(e10), h4(e10)) = h4(op1(e10, e10))) & 61.66/62.12 (e13 = op1(e10, e10))), 61.66/62.12 inference('s_sup-', [status(thm)], ['231', '232'])). 61.66/62.12 tff('649', plain, 61.66/62.12 (op2(e20, e20) != h4(e13)) 61.66/62.12 <= (~ (op2(h4(e10), h4(e10)) = h4(op1(e10, e10))) & 61.66/62.12 (e13 = op1(e10, e10)) & 61.66/62.12 (op2(e23, e23) = e21)), 61.66/62.12 inference('s_sup-', [status(thm)], ['647', '648'])). 61.66/62.12 tff('650', plain, h1(e11) = op2(e20, e20), 61.66/62.12 inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('651', plain, 61.66/62.12 (h1(e11) != h4(e13)) 61.66/62.12 <= (~ (op2(h4(e10), h4(e10)) = h4(op1(e10, e10))) & 61.66/62.12 (e13 = op1(e10, e10)) & 61.66/62.12 (op2(e23, e23) = e21)), 61.66/62.12 inference('demod', [status(thm)], ['649', '650'])). 61.66/62.12 tff('652', plain, 61.66/62.12 (e22 != h4(e13)) 61.66/62.12 <= (~ (op2(h4(e10), h4(e10)) = h4(op1(e10, e10))) & 61.66/62.12 (e13 = op1(e10, e10)) & 61.66/62.12 (h1(e11) = e22) & 61.66/62.12 (op2(e23, e23) = e21)), 61.66/62.12 inference('s_sup-', [status(thm)], ['646', '651'])). 61.66/62.12 tff('653', plain, 61.66/62.12 (e22 != e22) 61.66/62.12 <= (~ (op2(h4(e10), h4(e10)) = h4(op1(e10, e10))) & 61.66/62.12 (e13 = op1(e10, e10)) & 61.66/62.12 (h1(e11) = e22) & 61.66/62.12 (op2(e23, e23) = e21) & 61.66/62.12 (op2(e23, e21) = e22)), 61.66/62.12 inference('s_sup-', [status(thm)], ['645', '652'])). 61.66/62.12 tff('654', plain, 61.66/62.12 (op2(h4(e10), h4(e10)) = h4(op1(e10, e10))) | ~ (op2(e23, e23) = e21) | 61.66/62.12 ~ (e13 = op1(e10, e10)) | ~ (h1(e11) = e22) | ~ (op2(e23, e21) = e22), 61.66/62.12 inference('simplify', [status(thm)], ['653'])). 61.66/62.12 tff('655', plain, (op2(e23, e22) = e20) <= ((op2(e23, e22) = e20)), 61.66/62.12 inference('split', [status(esa)], ['60'])). 61.66/62.12 tff('656', plain, 61.66/62.12 (h4(e13) = e22) <= ((op2(e23, e23) = e21) & (op2(e23, e21) = e22)), 61.66/62.12 inference('s_sup+', [status(thm)], ['626', '627'])). 61.66/62.12 tff('657', plain, 61.66/62.12 (op2(e23, h4(e13)) != h4(e10)) 61.66/62.12 <= (~ (op2(h4(e12), h4(e13)) = h4(op1(e12, e13))) & 61.66/62.12 (op1(e12, e13) = e10)), 61.66/62.12 inference('s_sup-', [status(thm)], ['283', '286'])). 61.66/62.12 tff('658', plain, 61.66/62.12 (op2(e23, e22) != h4(e10)) 61.66/62.12 <= (~ (op2(h4(e12), h4(e13)) = h4(op1(e12, e13))) & 61.66/62.12 (op2(e23, e23) = e21) & 61.66/62.12 (op2(e23, e21) = e22) & 61.66/62.12 (op1(e12, e13) = e10)), 61.66/62.12 inference('s_sup-', [status(thm)], ['656', '657'])). 61.66/62.12 tff('659', plain, (h4(e10) = e20) <= ((op2(e23, e23) = e21)), 61.66/62.12 inference('s_sup+', [status(thm)], ['633', '634'])). 61.66/62.12 tff('660', plain, 61.66/62.12 (op2(e23, e22) != e20) 61.66/62.12 <= (~ (op2(h4(e12), h4(e13)) = h4(op1(e12, e13))) & 61.66/62.12 (op2(e23, e23) = e21) & 61.66/62.12 (op2(e23, e21) = e22) & 61.66/62.12 (op1(e12, e13) = e10)), 61.66/62.12 inference('demod', [status(thm)], ['658', '659'])). 61.66/62.12 tff('661', plain, 61.66/62.12 (e20 != e20) 61.66/62.12 <= (~ (op2(h4(e12), h4(e13)) = h4(op1(e12, e13))) & 61.66/62.12 (op2(e23, e22) = e20) & 61.66/62.12 (op2(e23, e23) = e21) & 61.66/62.12 (op2(e23, e21) = e22) & 61.66/62.12 (op1(e12, e13) = e10)), 61.66/62.12 inference('s_sup-', [status(thm)], ['655', '660'])). 61.66/62.12 tff('662', plain, 61.66/62.12 (op2(h4(e12), h4(e13)) = h4(op1(e12, e13))) | ~ (op2(e23, e22) = e20) | 61.66/62.12 ~ (op1(e12, e13) = e10) | ~ (op2(e23, e23) = e21) | 61.66/62.12 ~ (op2(e23, e21) = e22), inference('simplify', [status(thm)], ['661'])). 61.66/62.12 tff('663', plain, (op2(e21, e22) = e22) <= ((op2(e21, e22) = e22)), 61.66/62.12 inference('split', [status(esa)], ['241'])). 61.66/62.12 tff('664', plain, 61.66/62.12 (h4(e13) = e22) <= ((op2(e23, e23) = e21) & (op2(e23, e21) = e22)), 61.66/62.12 inference('s_sup+', [status(thm)], ['626', '627'])). 61.66/62.12 tff('665', plain, 61.66/62.12 (op2(h4(e11), h4(e13)) != h4(e13)) 61.66/62.12 <= (~ (op2(h4(e11), h4(e13)) = h4(op1(e11, e13))) & 61.66/62.12 (op1(e11, e13) = e13)), 61.66/62.12 inference('s_sup-', [status(thm)], ['364', '365'])). 61.66/62.12 tff('666', plain, 61.66/62.12 (op2(h4(e11), e22) != e22) 61.66/62.12 <= (~ (op2(h4(e11), h4(e13)) = h4(op1(e11, e13))) & 61.66/62.12 (op2(e23, e23) = e21) & 61.66/62.12 (op2(e23, e21) = e22) & 61.66/62.12 (op1(e11, e13) = e13)), 61.66/62.12 inference('s_sup-', [status(thm)], ['664', '665'])). 61.66/62.12 tff('667', plain, (e21 = h4(e11)) <= ((op2(e23, e23) = e21)), 61.66/62.12 inference('s_sup+', [status(thm)], ['622', '623'])). 61.66/62.12 tff('668', plain, 61.66/62.12 (op2(e21, e22) != e22) 61.66/62.12 <= (~ (op2(h4(e11), h4(e13)) = h4(op1(e11, e13))) & 61.66/62.12 (op2(e23, e23) = e21) & 61.66/62.12 (op2(e23, e21) = e22) & 61.66/62.12 (op1(e11, e13) = e13)), 61.66/62.12 inference('demod', [status(thm)], ['666', '667'])). 61.66/62.12 tff('669', plain, 61.66/62.12 (e22 != e22) 61.66/62.12 <= (~ (op2(h4(e11), h4(e13)) = h4(op1(e11, e13))) & 61.66/62.12 (op2(e21, e22) = e22) & 61.66/62.12 (op2(e23, e23) = e21) & 61.66/62.12 (op2(e23, e21) = e22) & 61.66/62.12 (op1(e11, e13) = e13)), 61.66/62.12 inference('s_sup-', [status(thm)], ['663', '668'])). 61.66/62.12 tff('670', plain, 61.66/62.12 (op2(h4(e11), h4(e13)) = h4(op1(e11, e13))) | ~ (op1(e11, e13) = e13) | 61.66/62.12 ~ (op2(e23, e23) = e21) | ~ (op2(e21, e22) = e22) | 61.66/62.12 ~ (op2(e23, e21) = e22), inference('simplify', [status(thm)], ['669'])). 61.66/62.12 tff('671', plain, 61.66/62.12 (op2(e21, e22) = e22 61.66/62.12 | e22 = op2(e22, e22) 61.66/62.12 | op2(e23, e22) = e22 61.66/62.12 | op2(e20, e22) = e22), 61.66/62.12 inference('cnf', [status(esa)], [ax4])). 61.66/62.12 tff('672', plain, e21 = op2(e22, e22), 61.66/62.12 inference('cnf', [status(esa)], [ax13])). 61.66/62.12 tff('673', plain, 61.66/62.12 (op2(e21, e22) = e22 61.66/62.12 | e22 = e21 61.66/62.12 | op2(e23, e22) = e22 61.66/62.12 | op2(e20, e22) = e22), 61.66/62.12 inference('demod', [status(thm)], ['671', '672'])). 61.66/62.12 tff('674', plain, e21 != e22, inference('cnf', [status(esa)], [ax8])). 61.66/62.12 tff('675', plain, 61.66/62.12 (op2(e21, e22) = e22 | op2(e23, e22) = e22 | op2(e20, e22) = e22), 61.66/62.12 inference('simplify_reflect-', [status(thm)], ['673', '674'])). 61.66/62.12 tff('676', plain, (op2(e20, e22) = e22) <= ((op2(e20, e22) = e22)), 61.66/62.12 inference('split', [status(esa)], ['675'])). 61.66/62.12 tff('677', plain, (op2(e21, e22) = e22) <= ((op2(e21, e22) = e22)), 61.66/62.12 inference('split', [status(esa)], ['241'])). 61.66/62.12 tff('678', plain, op2(e20, e22) != op2(e21, e22), 61.66/62.12 inference('cnf', [status(esa)], [ax6])). 61.66/62.12 tff('679', plain, (op2(e20, e22) != e22) <= ((op2(e21, e22) = e22)), 61.66/62.12 inference('s_sup-', [status(thm)], ['677', '678'])). 61.66/62.12 tff('680', plain, 61.66/62.12 (e22 != e22) <= ((op2(e21, e22) = e22) & (op2(e20, e22) = e22)), 61.66/62.12 inference('s_sup-', [status(thm)], ['676', '679'])). 61.66/62.12 tff('681', plain, ~ (op2(e20, e22) = e22) | ~ (op2(e21, e22) = e22), 61.66/62.12 inference('simplify', [status(thm)], ['680'])). 61.66/62.12 tff('682', plain, 61.66/62.12 (e23 = op2(e21, e20) 61.66/62.12 | e23 = op2(e21, e21) 61.66/62.12 | e23 = op2(e21, e22) 61.66/62.12 | op2(e21, e23) = e23), 61.66/62.12 inference('cnf', [status(esa)], [ax4])). 61.66/62.12 tff('683', plain, op2(e21, e21) = h2(e11), 61.66/62.12 inference('cnf', [status(esa)], [ax15])). 61.66/62.12 tff('684', plain, 61.66/62.12 (e23 = op2(e21, e20) 61.66/62.12 | e23 = h2(e11) 61.66/62.12 | e23 = op2(e21, e22) 61.66/62.12 | op2(e21, e23) = e23), 61.66/62.12 inference('demod', [status(thm)], ['682', '683'])). 61.66/62.12 tff('685', plain, (op2(e21, e23) = e23) <= ((op2(e21, e23) = e23)), 61.66/62.12 inference('split', [status(esa)], ['684'])). 61.66/62.12 tff('686', plain, (h4(e11) = e21) <= ((e21 = h4(e11))), 61.66/62.12 inference('split', [status(esa)], ['110'])). 61.66/62.12 tff('687', plain, 61.66/62.12 (e23 != op2(h4(e11), e23)) 61.66/62.12 <= (~ (h4(op1(e11, e12)) = op2(h4(e11), h4(e12))) & 61.66/62.12 (op1(e11, e12) = e12)), 61.66/62.12 inference('demod', [status(thm)], ['118', '119'])). 61.66/62.12 tff('688', plain, 61.66/62.12 (e23 != op2(e21, e23)) 61.66/62.12 <= (~ (h4(op1(e11, e12)) = op2(h4(e11), h4(e12))) & 61.66/62.12 (e21 = h4(e11)) & 61.66/62.12 (op1(e11, e12) = e12)), 61.66/62.12 inference('s_sup-', [status(thm)], ['686', '687'])). 61.66/62.12 tff('689', plain, 61.66/62.12 (e23 != e23) 61.66/62.12 <= (~ (h4(op1(e11, e12)) = op2(h4(e11), h4(e12))) & 61.66/62.12 (op2(e21, e23) = e23) & 61.66/62.12 (e21 = h4(e11)) & 61.66/62.12 (op1(e11, e12) = e12)), 61.66/62.12 inference('s_sup-', [status(thm)], ['685', '688'])). 61.66/62.12 tff('690', plain, 61.66/62.12 (h4(op1(e11, e12)) = op2(h4(e11), h4(e12))) | ~ (op1(e11, e12) = e12) | 61.66/62.12 ~ (op2(e21, e23) = e23) | ~ (e21 = h4(e11)), 61.66/62.12 inference('simplify', [status(thm)], ['689'])). 61.66/62.12 tff('691', plain, (e21 = op2(e21, e20)) <= ((e21 = op2(e21, e20))), 61.66/62.12 inference('split', [status(esa)], ['313'])). 61.66/62.12 tff('692', plain, op2(e21, e20) = h2(e13), 61.66/62.12 inference('demod', [status(thm)], ['149', '155'])). 61.66/62.12 tff('693', plain, (e21 = h2(e13)) <= ((e21 = op2(e21, e20))), 61.66/62.12 inference('s_sup+', [status(thm)], ['691', '692'])). 61.66/62.12 tff('694', plain, (h4(e11) = e21) <= ((e21 = h4(e11))), 61.66/62.12 inference('split', [status(esa)], ['110'])). 61.66/62.12 tff('695', plain, 61.66/62.12 (op2(h4(e11), h4(e10)) != h4(e11)) 61.66/62.12 <= (~ (op2(h4(e11), h4(e10)) = h4(op1(e11, e10))) & 61.66/62.12 (op1(e11, e10) = e11)), 61.66/62.12 inference('s_sup-', [status(thm)], ['68', '91'])). 61.66/62.12 tff('696', plain, 61.66/62.12 (op2(e21, h4(e10)) != e21) 61.66/62.12 <= (~ (op2(h4(e11), h4(e10)) = h4(op1(e11, e10))) & 61.66/62.12 (op1(e11, e10) = e11) & 61.66/62.12 (e21 = h4(e11))), 61.66/62.12 inference('s_sup-', [status(thm)], ['694', '695'])). 61.66/62.12 tff('697', plain, (h4(e10) = e20) <= ((e21 = h4(e11))), 61.66/62.12 inference('s_sup+', [status(thm)], ['592', '593'])). 61.66/62.12 tff('698', plain, op2(e21, e20) = h2(e13), 61.66/62.12 inference('demod', [status(thm)], ['149', '155'])). 61.66/62.12 tff('699', plain, 61.66/62.12 (h2(e13) != e21) 61.66/62.12 <= (~ (op2(h4(e11), h4(e10)) = h4(op1(e11, e10))) & 61.66/62.12 (op1(e11, e10) = e11) & 61.66/62.12 (e21 = h4(e11))), 61.66/62.12 inference('demod', [status(thm)], ['696', '697', '698'])). 61.66/62.12 tff('700', plain, 61.66/62.12 (e21 != e21) 61.66/62.12 <= (~ (op2(h4(e11), h4(e10)) = h4(op1(e11, e10))) & 61.66/62.12 (op1(e11, e10) = e11) & 61.66/62.12 (e21 = op2(e21, e20)) & 61.66/62.12 (e21 = h4(e11))), 61.66/62.12 inference('s_sup-', [status(thm)], ['693', '699'])). 61.66/62.12 tff('701', plain, 61.66/62.12 (op2(h4(e11), h4(e10)) = h4(op1(e11, e10))) | ~ (e21 = op2(e21, e20)) | 61.66/62.12 ~ (op1(e11, e10) = e11) | ~ (e21 = h4(e11)), 61.66/62.12 inference('simplify', [status(thm)], ['700'])). 61.66/62.12 tff('702', plain, 61.66/62.12 (h4(e13) = e22) <= ((e21 = h4(e11)) & (op2(e23, e21) = e22)), 61.66/62.12 inference('s_sup+', [status(thm)], ['585', '586'])). 61.66/62.12 tff('703', plain, 61.66/62.12 (op2(h4(e13), h4(e13)) != h4(e11)) 61.66/62.12 <= (~ (op2(h4(e13), h4(e13)) = h4(op1(e13, e13))) & 61.66/62.12 (op1(e13, e13) = e11)), 61.66/62.12 inference('s_sup-', [status(thm)], ['373', '391'])). 61.66/62.12 tff('704', plain, 61.66/62.12 (op2(e22, e22) != h4(e11)) 61.66/62.12 <= (~ (op2(h4(e13), h4(e13)) = h4(op1(e13, e13))) & 61.66/62.12 (e21 = h4(e11)) & 61.66/62.12 (op2(e23, e21) = e22) & 61.66/62.12 (op1(e13, e13) = e11)), 61.66/62.12 inference('s_sup-', [status(thm)], ['702', '703'])). 61.66/62.12 tff('705', plain, e21 = op2(e22, e22), 61.66/62.12 inference('cnf', [status(esa)], [ax13])). 61.66/62.12 tff('706', plain, (h4(e11) = e21) <= ((e21 = h4(e11))), 61.66/62.12 inference('split', [status(esa)], ['110'])). 61.66/62.12 tff('707', plain, 61.66/62.12 (e21 != e21) 61.66/62.12 <= (~ (op2(h4(e13), h4(e13)) = h4(op1(e13, e13))) & 61.66/62.12 (e21 = h4(e11)) & 61.66/62.12 (op2(e23, e21) = e22) & 61.66/62.12 (op1(e13, e13) = e11)), 61.66/62.12 inference('demod', [status(thm)], ['704', '705', '706'])). 61.66/62.12 tff('708', plain, 61.66/62.12 (op2(h4(e13), h4(e13)) = h4(op1(e13, e13))) | ~ (op1(e13, e13) = e11) | 61.66/62.12 ~ (e21 = h4(e11)) | ~ (op2(e23, e21) = e22), 61.66/62.12 inference('simplify', [status(thm)], ['707'])). 61.66/62.12 tff('709', plain, 61.66/62.12 (h4(e13) = e22) <= ((e21 = h4(e11)) & (op2(e23, e21) = e22)), 61.66/62.12 inference('s_sup+', [status(thm)], ['585', '586'])). 61.66/62.12 tff('710', plain, 61.66/62.12 (e23 != op2(h4(e13), h4(e11))) 61.66/62.12 <= (~ (h4(op1(e13, e11)) = op2(h4(e13), h4(e11))) & 61.66/62.12 (op1(e13, e11) = e12)), 61.66/62.12 inference('demod', [status(thm)], ['178', '179'])). 61.66/62.12 tff('711', plain, 61.66/62.12 (e23 != op2(e22, h4(e11))) 61.66/62.12 <= (~ (h4(op1(e13, e11)) = op2(h4(e13), h4(e11))) & 61.66/62.12 (e21 = h4(e11)) & 61.66/62.12 (op2(e23, e21) = e22) & 61.66/62.12 (op1(e13, e11) = e12)), 61.66/62.12 inference('s_sup-', [status(thm)], ['709', '710'])). 61.66/62.12 tff('712', plain, (h4(e11) = e21) <= ((e21 = h4(e11))), 61.66/62.12 inference('split', [status(esa)], ['110'])). 61.66/62.12 tff('713', plain, op2(e22, e21) = e23, 61.66/62.12 inference('demod', [status(thm)], ['264', '267'])). 61.66/62.12 tff('714', plain, 61.66/62.12 (e23 != e23) 61.66/62.12 <= (~ (h4(op1(e13, e11)) = op2(h4(e13), h4(e11))) & 61.66/62.12 (e21 = h4(e11)) & 61.66/62.12 (op2(e23, e21) = e22) & 61.66/62.12 (op1(e13, e11) = e12)), 61.66/62.12 inference('demod', [status(thm)], ['711', '712', '713'])). 61.66/62.12 tff('715', plain, 61.66/62.12 (h4(op1(e13, e11)) = op2(h4(e13), h4(e11))) | ~ (op1(e13, e11) = e12) | 61.66/62.12 ~ (e21 = h4(e11)) | ~ (op2(e23, e21) = e22), 61.66/62.12 inference('simplify', [status(thm)], ['714'])). 61.66/62.12 tff('716', plain, 61.66/62.12 (h4(e13) = e22) <= ((e21 = h4(e11)) & (op2(e23, e21) = e22)), 61.66/62.12 inference('s_sup+', [status(thm)], ['585', '586'])). 61.66/62.12 tff('717', plain, (e22 != h4(e13)) <= (~ (e22 = h4(e13))), 61.66/62.12 inference('split', [status(esa)], ['90'])). 61.66/62.12 tff('718', plain, 61.66/62.12 (e22 != e22) 61.66/62.12 <= (~ (e22 = h4(e13)) & (e21 = h4(e11)) & (op2(e23, e21) = e22)), 61.66/62.12 inference('s_sup-', [status(thm)], ['716', '717'])). 61.66/62.12 tff('719', plain, 61.66/62.12 (e22 = h4(e13)) | ~ (e21 = h4(e11)) | ~ (op2(e23, e21) = e22), 61.66/62.12 inference('simplify', [status(thm)], ['718'])). 61.66/62.12 tff('720', plain, (op2(e20, e21) = e21) <= ((op2(e20, e21) = e21)), 61.66/62.12 inference('split', [status(esa)], ['356'])). 61.66/62.12 tff('721', plain, (h4(e10) = e20) <= ((e21 = h4(e11))), 61.66/62.12 inference('s_sup+', [status(thm)], ['592', '593'])). 61.66/62.12 tff('722', plain, 61.66/62.12 (op2(h4(e10), h4(e11)) != h4(e11)) 61.66/62.12 <= (~ (op2(h4(e10), h4(e11)) = h4(op1(e10, e11))) & 61.66/62.12 (e11 = op1(e10, e11))), 61.66/62.12 inference('s_sup-', [status(thm)], ['298', '299'])). 61.66/62.12 tff('723', plain, 61.66/62.12 (op2(e20, h4(e11)) != h4(e11)) 61.66/62.12 <= (~ (op2(h4(e10), h4(e11)) = h4(op1(e10, e11))) & 61.66/62.12 (e11 = op1(e10, e11)) & 61.66/62.12 (e21 = h4(e11))), 61.66/62.12 inference('s_sup-', [status(thm)], ['721', '722'])). 61.66/62.12 tff('724', plain, (h4(e11) = e21) <= ((e21 = h4(e11))), 61.66/62.12 inference('split', [status(esa)], ['110'])). 61.66/62.12 tff('725', plain, (h4(e11) = e21) <= ((e21 = h4(e11))), 61.66/62.12 inference('split', [status(esa)], ['110'])). 61.66/62.12 tff('726', plain, 61.66/62.12 (op2(e20, e21) != e21) 61.66/62.12 <= (~ (op2(h4(e10), h4(e11)) = h4(op1(e10, e11))) & 61.66/62.12 (e11 = op1(e10, e11)) & 61.66/62.12 (e21 = h4(e11))), 61.66/62.12 inference('demod', [status(thm)], ['723', '724', '725'])). 61.66/62.12 tff('727', plain, 61.66/62.12 (e21 != e21) 61.66/62.12 <= (~ (op2(h4(e10), h4(e11)) = h4(op1(e10, e11))) & 61.66/62.12 (e11 = op1(e10, e11)) & 61.66/62.12 (op2(e20, e21) = e21) & 61.66/62.12 (e21 = h4(e11))), 61.66/62.12 inference('s_sup-', [status(thm)], ['720', '726'])). 61.66/62.12 tff('728', plain, 61.66/62.12 (op2(h4(e10), h4(e11)) = h4(op1(e10, e11))) | ~ (e11 = op1(e10, e11)) | 61.66/62.12 ~ (e21 = h4(e11)) | ~ (op2(e20, e21) = e21), 61.66/62.12 inference('simplify', [status(thm)], ['727'])). 61.66/62.12 tff('729', plain, (e21 = h4(e11)) <= ((op2(e23, e23) = e21)), 61.66/62.12 inference('s_sup+', [status(thm)], ['622', '623'])). 61.66/62.12 tff('730', plain, (op2(e20, e23) = e21) <= ((op2(e20, e23) = e21)), 61.66/62.12 inference('split', [status(esa)], ['356'])). 61.66/62.12 tff('731', plain, op2(e20, e23) != op2(e23, e23), 61.66/62.12 inference('cnf', [status(esa)], [ax6])). 61.66/62.12 tff('732', plain, op2(e23, e23) = h4(e11), 61.66/62.12 inference('cnf', [status(esa)], [ax17])). 61.66/62.12 tff('733', plain, op2(e20, e23) != h4(e11), 61.66/62.12 inference('demod', [status(thm)], ['731', '732'])). 61.66/62.12 tff('734', plain, (e21 != h4(e11)) <= ((op2(e20, e23) = e21)), 61.66/62.12 inference('s_sup-', [status(thm)], ['730', '733'])). 61.66/62.12 tff('735', plain, 61.66/62.12 (e21 != e21) <= ((op2(e20, e23) = e21) & (op2(e23, e23) = e21)), 61.66/62.12 inference('s_sup-', [status(thm)], ['729', '734'])). 61.66/62.12 tff('736', plain, ~ (op2(e20, e23) = e21) | ~ (op2(e23, e23) = e21), 61.66/62.12 inference('simplify', [status(thm)], ['735'])). 61.66/62.12 tff('737', plain, (op2(e23, e23) = e21) <= ((op2(e23, e23) = e21)), 61.66/62.12 inference('split', [status(esa)], ['621'])). 61.66/62.12 tff('738', plain, (e22 = op2(e23, e23)) <= ((e22 = op2(e23, e23))), 61.66/62.12 inference('split', [status(esa)], ['272'])). 61.66/62.12 tff('739', plain, 61.66/62.12 (e22 = e21) <= ((op2(e23, e23) = e21) & (e22 = op2(e23, e23))), 61.66/62.12 inference('s_sup+', [status(thm)], ['737', '738'])). 61.66/62.12 tff('740', plain, e21 != e22, inference('cnf', [status(esa)], [ax8])). 61.66/62.12 tff('741', plain, ~ (e22 = op2(e23, e23)) | ~ (op2(e23, e23) = e21), 61.66/62.12 inference('simplify_reflect-', [status(thm)], ['739', '740'])). 61.66/62.12 tff('742', plain, 61.66/62.12 (e11 = op1(e13, e13) 61.66/62.12 | op1(e13, e12) = e11 61.66/62.12 | op1(e13, e11) = e11 61.66/62.12 | op1(e13, e10) = e11), 61.66/62.12 inference('cnf', [status(esa)], [ax2])). 61.66/62.12 tff('743', plain, 61.66/62.12 (op1(e13, e11) = e11) | (op1(e13, e10) = e11) | (op1(e13, e13) = e11) | 61.66/62.12 (e11 = op1(e13, e12)), inference('split', [status(esa)], ['742'])). 61.66/62.12 tff('744', plain, 61.66/62.12 (e13 = op1(e13, e12) 61.66/62.12 | op1(e13, e12) = e12 61.66/62.12 | e11 = op1(e13, e12) 61.66/62.12 | op1(e13, e12) = e10), 61.66/62.12 inference('cnf', [status(esa)], [ax1])). 61.66/62.12 tff('745', plain, (e11 = op1(e13, e12)) <= ((e11 = op1(e13, e12))), 61.66/62.12 inference('split', [status(esa)], ['744'])). 61.66/62.12 tff('746', plain, e11 != op1(e13, e12), 61.66/62.12 inference('demod', [status(thm)], ['317', '318'])). 61.66/62.12 tff('747', plain, ~ (e11 = op1(e13, e12)), 61.66/62.12 inference('simplify_reflect-', [status(thm)], ['745', '746'])). 61.66/62.12 tff('748', plain, (op1(e13, e10) = e10) <= ((op1(e13, e10) = e10)), 61.66/62.12 inference('split', [status(esa)], ['245'])). 61.66/62.12 tff('749', plain, 61.66/62.12 (op1(e13, e10) = e10 61.66/62.12 | op1(e13, e10) = e13 61.66/62.12 | e12 = op1(e13, e10) 61.66/62.12 | op1(e13, e10) = e11), 61.66/62.12 inference('cnf', [status(esa)], [ax1])). 61.66/62.12 tff('750', plain, (op1(e13, e10) = e11) <= ((op1(e13, e10) = e11)), 61.66/62.12 inference('split', [status(esa)], ['749'])). 61.66/62.12 tff('751', plain, 61.66/62.12 (e10 = e11) <= ((op1(e13, e10) = e10) & (op1(e13, e10) = e11)), 61.66/62.12 inference('s_sup+', [status(thm)], ['748', '750'])). 61.66/62.12 tff('752', plain, e10 != e11, inference('cnf', [status(esa)], [ax7])). 61.66/62.12 tff('753', plain, ~ (op1(e13, e10) = e11) | ~ (op1(e13, e10) = e10), 61.66/62.12 inference('simplify_reflect-', [status(thm)], ['751', '752'])). 61.66/62.12 tff('754', plain, 61.66/62.12 (e10 = op1(e11, e10) 61.66/62.12 | e13 = op1(e11, e10) 61.66/62.12 | op1(e11, e10) = e12 61.66/62.12 | op1(e11, e10) = e11), 61.66/62.12 inference('cnf', [status(esa)], [ax1])). 61.66/62.12 tff('755', plain, op1(e11, e11) != op1(e11, e10), 61.66/62.12 inference('cnf', [status(esa)], [ax5])). 61.66/62.12 tff('756', plain, e10 = op1(e11, e11), 61.66/62.12 inference('demod', [status(thm)], ['4', '5', '6'])). 61.66/62.12 tff('757', plain, e10 != op1(e11, e10), 61.66/62.12 inference('demod', [status(thm)], ['755', '756'])). 61.66/62.12 tff('758', plain, 61.66/62.12 (e13 = op1(e11, e10) | op1(e11, e10) = e12 | op1(e11, e10) = e11), 61.66/62.12 inference('simplify_reflect-', [status(thm)], ['754', '757'])). 61.66/62.12 tff('759', plain, (e13 = op1(e11, e10)) <= ((e13 = op1(e11, e10))), 61.66/62.12 inference('split', [status(esa)], ['758'])). 61.66/62.12 tff('760', plain, (op1(e10, e10) = e13) <= ((e13 = op1(e10, e10))), 61.66/62.12 inference('split', [status(esa)], ['230'])). 61.66/62.12 tff('761', plain, op1(e10, e10) != op1(e11, e10), 61.66/62.12 inference('cnf', [status(esa)], [ax5])). 61.66/62.12 tff('762', plain, (e13 != op1(e11, e10)) <= ((e13 = op1(e10, e10))), 61.66/62.12 inference('s_sup-', [status(thm)], ['760', '761'])). 61.66/62.12 tff('763', plain, 61.66/62.12 (e13 != e13) <= ((e13 = op1(e10, e10)) & (e13 = op1(e11, e10))), 61.66/62.12 inference('s_sup-', [status(thm)], ['759', '762'])). 61.66/62.12 tff('764', plain, ~ (e13 = op1(e11, e10)) | ~ (e13 = op1(e10, e10)), 61.66/62.12 inference('simplify', [status(thm)], ['763'])). 61.66/62.12 tff(zf_stmt_11, axiom, 61.66/62.12 (zip_tseitin_30 => 61.66/62.12 (((op1(e12,e12) != e13) | (op1(e12,e13) = e12)) & 61.66/62.12 ((op1(e13,e13) = e13) | (op1(e13,e13) != e13)) & 61.66/62.12 ((op1(e11,e13) = e11) | (e13 != op1(e11,e11))) & 61.66/62.12 ((op1(e10,e10) != e13) | (e10 = op1(e10,e13))) & (op1(e10,e10) = e13)))). 61.66/62.12 tff('765', plain, 61.66/62.12 (e10 = op1(e10, e13) | op1(e10, e10) != e13 | ~ zip_tseitin_30), 61.66/62.12 inference('cnf', [status(esa)], [zf_stmt_11])). 61.66/62.12 tff('766', plain, 61.66/62.12 ~ ( zip_tseitin_30) | ~ (e13 = op1(e10, e10)) | (op1(e10, e13) = e10), 61.66/62.12 inference('split', [status(esa)], ['765'])). 61.66/62.12 tff(zf_stmt_12, axiom, 61.66/62.12 (zip_tseitin_9 => 61.66/62.12 (((e13 != op1(e10,e10)) | (op1(e10,e13) != e10)) & 61.66/62.12 ((e12 != op1(e10,e10)) | (e10 != op1(e10,e12))) & 61.66/62.12 ((op1(e10,e11) != e10) | (e11 != op1(e10,e10))) & 61.66/62.12 ((e10 != op1(e10,e10)) | (op1(e10,e10) != e10)) & (op1(e10,e13) = e13) & 61.66/62.12 (op1(e13,e10) = e13)))). 61.66/62.12 tff('767', plain, (op1(e13, e10) = e13 | ~ zip_tseitin_9), 61.66/62.12 inference('cnf', [status(esa)], [zf_stmt_12])). 61.66/62.12 tff('768', plain, ~ ( zip_tseitin_9) | (op1(e13, e10) = e13), 61.66/62.12 inference('split', [status(esa)], ['767'])). 61.66/62.12 tff('769', plain, 61.66/62.12 (op1(e11, e10) = e10 61.66/62.12 | e10 = op1(e12, e10) 61.66/62.12 | op1(e13, e10) = e10 61.66/62.12 | op1(e10, e10) = e10), 61.66/62.12 inference('cnf', [status(esa)], [ax2])). 61.66/62.12 tff('770', plain, e10 != op1(e11, e10), 61.66/62.12 inference('demod', [status(thm)], ['755', '756'])). 61.66/62.12 tff('771', plain, 61.66/62.12 (e10 = op1(e12, e10) | op1(e13, e10) = e10 | op1(e10, e10) = e10), 61.66/62.12 inference('simplify_reflect-', [status(thm)], ['769', '770'])). 61.66/62.12 tff('772', plain, 61.66/62.12 (op1(e13, e10) = e10) | (e10 = op1(e12, e10)) | (e10 = op1(e10, e10)), 61.66/62.12 inference('split', [status(esa)], ['771'])). 61.66/62.12 tff('773', plain, 61.66/62.12 (op1(e11, e12) = e12 61.66/62.12 | op1(e13, e12) = e12 61.66/62.12 | e12 = op1(e12, e12) 61.66/62.12 | op1(e10, e12) = e12), 61.66/62.12 inference('cnf', [status(esa)], [ax2])). 61.66/62.12 tff('774', plain, 61.66/62.12 (op1(e11, e12) = e12) | (e12 = op1(e13, e12)) | (e12 = op1(e12, e12)) | 61.66/62.12 (e12 = op1(e10, e12)), inference('split', [status(esa)], ['773'])). 61.66/62.12 tff('775', plain, ~ ( zip_tseitin_4) | (e12 = op1(e10, e12)), 61.66/62.12 inference('split', [status(esa)], ['29'])). 61.66/62.12 tff('776', plain, (op1(e12, e13) = e12) <= ((op1(e12, e13) = e12)), 61.66/62.12 inference('split', [status(esa)], ['27'])). 61.66/62.12 tff('777', plain, (op1(e10, e13) = e12) <= ((op1(e10, e13) = e12)), 61.66/62.12 inference('split', [status(esa)], ['0'])). 61.66/62.12 tff('778', plain, op1(e10, e13) != op1(e12, e13), 61.66/62.12 inference('cnf', [status(esa)], [ax5])). 61.66/62.12 tff('779', plain, (e12 != op1(e12, e13)) <= ((op1(e10, e13) = e12)), 61.66/62.12 inference('s_sup-', [status(thm)], ['777', '778'])). 61.66/62.12 tff('780', plain, 61.66/62.12 (e12 != e12) <= ((op1(e12, e13) = e12) & (op1(e10, e13) = e12)), 61.66/62.12 inference('s_sup-', [status(thm)], ['776', '779'])). 61.66/62.12 tff('781', plain, ~ (op1(e12, e13) = e12) | ~ (op1(e10, e13) = e12), 61.66/62.12 inference('simplify', [status(thm)], ['780'])). 61.66/62.12 tff('782', plain, (e12 = op1(e10, e12)) <= ((e12 = op1(e10, e12))), 61.66/62.12 inference('split', [status(esa)], ['29'])). 61.66/62.12 tff('783', plain, (op1(e10, e13) = e12) <= ((op1(e10, e13) = e12)), 61.66/62.12 inference('split', [status(esa)], ['0'])). 61.66/62.12 tff('784', plain, op1(e10, e12) != op1(e10, e13), 61.66/62.12 inference('cnf', [status(esa)], [ax5])). 61.66/62.12 tff('785', plain, (op1(e10, e12) != e12) <= ((op1(e10, e13) = e12)), 61.66/62.12 inference('s_sup-', [status(thm)], ['783', '784'])). 61.66/62.12 tff('786', plain, 61.66/62.12 (e12 != e12) <= ((e12 = op1(e10, e12)) & (op1(e10, e13) = e12)), 61.66/62.12 inference('s_sup-', [status(thm)], ['782', '785'])). 61.66/62.12 tff('787', plain, ~ (e12 = op1(e10, e12)) | ~ (op1(e10, e13) = e12), 61.66/62.12 inference('simplify', [status(thm)], ['786'])). 61.66/62.12 tff('788', plain, (op2(e20, e22) = e20) <= ((op2(e20, e22) = e20)), 61.66/62.12 inference('split', [status(esa)], ['60'])). 61.66/62.12 tff('789', plain, (e10 = op1(e10, e12)) <= ((e10 = op1(e10, e12))), 61.66/62.12 inference('split', [status(esa)], ['215'])). 61.66/62.12 tff('790', plain, 61.66/62.12 (h3(op1(e11, e10)) != op2(h3(e11), h3(e10)) 61.66/62.12 | h3(op1(e11, e11)) != op2(h3(e11), h3(e11)) 61.66/62.12 | h3(op1(e13, e10)) != op2(h3(e13), h3(e10)) 61.66/62.12 | op2(h3(e13), h3(e11)) != h3(op1(e13, e11)) 61.66/62.12 | op2(h3(e13), h3(e12)) != h3(op1(e13, e12)) 61.66/62.12 | h3(op1(e13, e13)) != op2(h3(e13), h3(e13)) 61.66/62.12 | h3(e11) != e23 61.66/62.12 | e22 != h3(e13) 61.66/62.12 | h3(e10) != e21 61.66/62.12 | e20 != h3(e12) 61.66/62.12 | op2(h3(e12), h3(e13)) != h3(op1(e12, e13)) 61.66/62.12 | op2(h3(e12), h3(e12)) != h3(op1(e12, e12)) 61.66/62.12 | op2(h3(e12), h3(e11)) != h3(op1(e12, e11)) 61.66/62.12 | h3(op1(e12, e10)) != op2(h3(e12), h3(e10)) 61.66/62.12 | h3(op1(e11, e13)) != op2(h3(e11), h3(e13)) 61.66/62.12 | op2(h3(e11), h3(e12)) != h3(op1(e11, e12)) 61.66/62.12 | op2(h3(e10), h3(e13)) != h3(op1(e10, e13)) 61.66/62.12 | h3(op1(e10, e12)) != op2(h3(e10), h3(e12)) 61.66/62.12 | h3(op1(e10, e11)) != op2(h3(e10), h3(e11)) 61.66/62.12 | op2(h3(e10), h3(e10)) != h3(op1(e10, e10))), 61.66/62.12 inference('cnf', [status(esa)], [zf_stmt_5])). 61.66/62.12 tff('791', plain, 61.66/62.12 (h3(op1(e10, e12)) != op2(h3(e10), h3(e12))) 61.66/62.12 <= (~ (h3(op1(e10, e12)) = op2(h3(e10), h3(e12)))), 61.66/62.12 inference('split', [status(esa)], ['790'])). 61.66/62.12 tff('792', plain, h3(e10) = e20, 61.66/62.12 inference('s_sup+', [status(thm)], ['472', '476'])). 61.66/62.12 tff('793', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.12 tff('794', plain, 61.66/62.12 (h3(op1(e10, e12)) != op2(e20, e22)) 61.66/62.12 <= (~ (h3(op1(e10, e12)) = op2(h3(e10), h3(e12)))), 61.66/62.12 inference('demod', [status(thm)], ['791', '792', '793'])). 61.66/62.12 tff('795', plain, 61.66/62.12 (h3(e10) != op2(e20, e22)) 61.66/62.12 <= (~ (h3(op1(e10, e12)) = op2(h3(e10), h3(e12))) & 61.66/62.12 (e10 = op1(e10, e12))), 61.66/62.12 inference('s_sup-', [status(thm)], ['789', '794'])). 61.66/62.12 tff('796', plain, h3(e10) = e20, 61.66/62.12 inference('s_sup+', [status(thm)], ['472', '476'])). 61.66/62.12 tff('797', plain, 61.66/62.12 (e20 != op2(e20, e22)) 61.66/62.12 <= (~ (h3(op1(e10, e12)) = op2(h3(e10), h3(e12))) & 61.66/62.12 (e10 = op1(e10, e12))), 61.66/62.12 inference('demod', [status(thm)], ['795', '796'])). 61.66/62.12 tff('798', plain, 61.66/62.12 (e20 != e20) 61.66/62.12 <= (~ (h3(op1(e10, e12)) = op2(h3(e10), h3(e12))) & 61.66/62.12 (e10 = op1(e10, e12)) & 61.66/62.12 (op2(e20, e22) = e20)), 61.66/62.12 inference('s_sup-', [status(thm)], ['788', '797'])). 61.66/62.12 tff('799', plain, 61.66/62.12 (h3(op1(e10, e12)) = op2(h3(e10), h3(e12))) | ~ (op2(e20, e22) = e20) | 61.66/62.12 ~ (e10 = op1(e10, e12)), inference('simplify', [status(thm)], ['798'])). 61.66/62.12 tff('800', plain, (e20 = h4(e11)) <= ((h4(e11) = e20)), 61.66/62.12 inference('split', [status(esa)], ['110'])). 61.66/62.12 tff('801', plain, (e20 = op2(e20, e23)) <= ((op2(e20, e23) = e20)), 61.66/62.12 inference('split', [status(esa)], ['63'])). 61.66/62.12 tff('802', plain, op2(e20, e23) != h4(e11), 61.66/62.12 inference('demod', [status(thm)], ['731', '732'])). 61.66/62.12 tff('803', plain, (e20 != h4(e11)) <= ((op2(e20, e23) = e20)), 61.66/62.12 inference('s_sup-', [status(thm)], ['801', '802'])). 61.66/62.12 tff('804', plain, (e20 != e20) <= ((op2(e20, e23) = e20) & (h4(e11) = e20)), 61.66/62.12 inference('s_sup-', [status(thm)], ['800', '803'])). 61.66/62.12 tff('805', plain, ~ (op2(e20, e23) = e20) | ~ (h4(e11) = e20), 61.66/62.12 inference('simplify', [status(thm)], ['804'])). 61.66/62.12 tff('806', plain, (e20 = h1(e11)) <= ((e20 = h1(e11))), 61.66/62.12 inference('split', [status(esa)], ['294'])). 61.66/62.12 tff('807', plain, (e20 = op2(e22, e20)) <= ((e20 = op2(e22, e20))), 61.66/62.12 inference('split', [status(esa)], ['294'])). 61.66/62.12 tff('808', plain, op2(e20, e20) != op2(e22, e20), 61.66/62.12 inference('cnf', [status(esa)], [ax6])). 61.66/62.12 tff('809', plain, h1(e11) = op2(e20, e20), 61.66/62.12 inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('810', plain, h1(e11) != op2(e22, e20), 61.66/62.12 inference('demod', [status(thm)], ['808', '809'])). 61.66/62.12 tff('811', plain, (h1(e11) != e20) <= ((e20 = op2(e22, e20))), 61.66/62.12 inference('s_sup-', [status(thm)], ['807', '810'])). 61.66/62.12 tff('812', plain, (e20 != e20) <= ((e20 = h1(e11)) & (e20 = op2(e22, e20))), 61.66/62.12 inference('s_sup-', [status(thm)], ['806', '811'])). 61.66/62.12 tff('813', plain, ~ (e20 = h1(e11)) | ~ (e20 = op2(e22, e20)), 61.66/62.12 inference('simplify', [status(thm)], ['812'])). 61.66/62.12 tff('814', plain, (h4(e11) = e22) <= ((e22 = h4(e11))), 61.66/62.12 inference('split', [status(esa)], ['110'])). 61.66/62.12 tff('815', plain, (op2(e22, e23) = e22) <= ((op2(e22, e23) = e22)), 61.66/62.12 inference('split', [status(esa)], ['212'])). 61.66/62.12 tff('816', plain, op2(e22, e23) != op2(e23, e23), 61.66/62.12 inference('cnf', [status(esa)], [ax6])). 61.66/62.12 tff('817', plain, op2(e23, e23) = h4(e11), 61.66/62.12 inference('cnf', [status(esa)], [ax17])). 61.66/62.12 tff('818', plain, op2(e22, e23) != h4(e11), 61.66/62.12 inference('demod', [status(thm)], ['816', '817'])). 61.66/62.12 tff('819', plain, (e22 != h4(e11)) <= ((op2(e22, e23) = e22)), 61.66/62.12 inference('s_sup-', [status(thm)], ['815', '818'])). 61.66/62.12 tff('820', plain, (e22 != e22) <= ((op2(e22, e23) = e22) & (e22 = h4(e11))), 61.66/62.12 inference('s_sup-', [status(thm)], ['814', '819'])). 61.66/62.12 tff('821', plain, ~ (e22 = h4(e11)) | ~ (op2(e22, e23) = e22), 61.66/62.12 inference('simplify', [status(thm)], ['820'])). 61.66/62.12 tff('822', plain, 61.66/62.12 (op2(h3(e12), h3(e11)) != h3(op1(e12, e11))) 61.66/62.12 <= (~ (op2(h3(e12), h3(e11)) = h3(op1(e12, e11)))), 61.66/62.12 inference('split', [status(esa)], ['790'])). 61.66/62.12 tff('823', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.12 tff('824', plain, e21 = h3(e11), 61.66/62.12 inference('s_sup+', [status(thm)], ['265', '266'])). 61.66/62.12 tff('825', plain, op2(e22, e21) = e23, 61.66/62.12 inference('demod', [status(thm)], ['264', '267'])). 61.66/62.12 tff('826', plain, op1(e12, e11) = e13, 61.66/62.12 inference('demod', [status(thm)], ['10', '11'])). 61.66/62.12 tff('827', plain, e23 = h3(e13), 61.66/62.12 inference('s_sup+', [status(thm)], ['453', '458'])). 61.66/62.12 tff('828', plain, 61.66/62.12 (e23 != e23) <= (~ (op2(h3(e12), h3(e11)) = h3(op1(e12, e11)))), 61.66/62.12 inference('demod', [status(thm)], 61.66/62.12 ['822', '823', '824', '825', '826', '827'])). 61.66/62.12 tff('829', plain, (op2(h3(e12), h3(e11)) = h3(op1(e12, e11))), 61.66/62.12 inference('simplify', [status(thm)], ['828'])). 61.66/62.12 tff('830', plain, 61.66/62.12 (op2(h3(e12), h3(e12)) != h3(op1(e12, e12))) 61.66/62.12 <= (~ (op2(h3(e12), h3(e12)) = h3(op1(e12, e12)))), 61.66/62.12 inference('split', [status(esa)], ['790'])). 61.66/62.12 tff('831', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.12 tff('832', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.12 tff('833', plain, e21 = op2(e22, e22), 61.66/62.12 inference('cnf', [status(esa)], [ax13])). 61.66/62.12 tff('834', plain, e11 = op1(e12, e12), 61.66/62.12 inference('cnf', [status(esa)], [ax12])). 61.66/62.12 tff('835', plain, e21 = h3(e11), 61.66/62.12 inference('s_sup+', [status(thm)], ['265', '266'])). 61.66/62.12 tff('836', plain, 61.66/62.12 (e21 != e21) <= (~ (op2(h3(e12), h3(e12)) = h3(op1(e12, e12)))), 61.66/62.12 inference('demod', [status(thm)], 61.66/62.12 ['830', '831', '832', '833', '834', '835'])). 61.66/62.12 tff('837', plain, (op2(h3(e12), h3(e12)) = h3(op1(e12, e12))), 61.66/62.12 inference('simplify', [status(thm)], ['836'])). 61.66/62.12 tff('838', plain, 61.66/62.12 (h3(op1(e11, e10)) != op2(h3(e11), h3(e10)) 61.66/62.12 | h3(op1(e11, e11)) != op2(h3(e11), h3(e11)) 61.66/62.12 | h3(op1(e13, e10)) != op2(h3(e13), h3(e10)) 61.66/62.12 | op2(h3(e13), h3(e11)) != h3(op1(e13, e11)) 61.66/62.12 | op2(h3(e13), h3(e12)) != h3(op1(e13, e12)) 61.66/62.12 | h3(op1(e13, e13)) != op2(h3(e13), h3(e13)) 61.66/62.12 | h3(e11) != e23 61.66/62.12 | e22 != h3(e12) 61.66/62.12 | h3(e10) != e21 61.66/62.12 | e20 != h3(e12) 61.66/62.12 | op2(h3(e12), h3(e13)) != h3(op1(e12, e13)) 61.66/62.12 | op2(h3(e12), h3(e12)) != h3(op1(e12, e12)) 61.66/62.12 | op2(h3(e12), h3(e11)) != h3(op1(e12, e11)) 61.66/62.12 | h3(op1(e12, e10)) != op2(h3(e12), h3(e10)) 61.66/62.12 | h3(op1(e11, e13)) != op2(h3(e11), h3(e13)) 61.66/62.12 | op2(h3(e11), h3(e12)) != h3(op1(e11, e12)) 61.66/62.12 | op2(h3(e10), h3(e13)) != h3(op1(e10, e13)) 61.66/62.12 | h3(op1(e10, e12)) != op2(h3(e10), h3(e12)) 61.66/62.12 | h3(op1(e10, e11)) != op2(h3(e10), h3(e11)) 61.66/62.12 | op2(h3(e10), h3(e10)) != h3(op1(e10, e10))), 61.66/62.12 inference('cnf', [status(esa)], [zf_stmt_5])). 61.66/62.12 tff('839', plain, (e22 != h3(e12)) <= (~ (e22 = h3(e12))), 61.66/62.12 inference('split', [status(esa)], ['838'])). 61.66/62.12 tff('840', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.12 tff('841', plain, (e22 != e22) <= (~ (e22 = h3(e12))), 61.66/62.12 inference('demod', [status(thm)], ['839', '840'])). 61.66/62.12 tff('842', plain, (e22 = h3(e12)), 61.66/62.12 inference('simplify', [status(thm)], ['841'])). 61.66/62.12 tff('843', plain, 61.66/62.12 (h3(op1(e11, e11)) != op2(h3(e11), h3(e11))) 61.66/62.12 <= (~ (h3(op1(e11, e11)) = op2(h3(e11), h3(e11)))), 61.66/62.12 inference('split', [status(esa)], ['790'])). 61.66/62.12 tff('844', plain, e10 = op1(e11, e11), 61.66/62.12 inference('demod', [status(thm)], ['4', '5', '6'])). 61.66/62.12 tff('845', plain, h3(e10) = e20, 61.66/62.12 inference('s_sup+', [status(thm)], ['472', '476'])). 61.66/62.12 tff('846', plain, e21 = h3(e11), 61.66/62.12 inference('s_sup+', [status(thm)], ['265', '266'])). 61.66/62.12 tff('847', plain, e21 = h3(e11), 61.66/62.12 inference('s_sup+', [status(thm)], ['265', '266'])). 61.66/62.12 tff('848', plain, op2(e21, e21) = e20, 61.66/62.12 inference('demod', [status(thm)], ['150', '151', '152'])). 61.66/62.12 tff('849', plain, 61.66/62.12 (e20 != e20) <= (~ (h3(op1(e11, e11)) = op2(h3(e11), h3(e11)))), 61.66/62.12 inference('demod', [status(thm)], 61.66/62.12 ['843', '844', '845', '846', '847', '848'])). 61.66/62.12 tff('850', plain, (h3(op1(e11, e11)) = op2(h3(e11), h3(e11))), 61.66/62.12 inference('simplify', [status(thm)], ['849'])). 61.66/62.12 tff('851', plain, (e23 = op2(e23, e22)) <= ((op2(e23, e22) = e23)), 61.66/62.12 inference('split', [status(esa)], ['124'])). 61.66/62.12 tff('852', plain, (e13 = op1(e13, e12)) <= ((op1(e13, e12) = e13)), 61.66/62.12 inference('split', [status(esa)], ['320'])). 61.66/62.12 tff('853', plain, 61.66/62.12 (op2(h3(e13), h3(e12)) != h3(op1(e13, e12))) 61.66/62.12 <= (~ (op2(h3(e13), h3(e12)) = h3(op1(e13, e12)))), 61.66/62.12 inference('split', [status(esa)], ['790'])). 61.66/62.12 tff('854', plain, e23 = h3(e13), 61.66/62.12 inference('s_sup+', [status(thm)], ['453', '458'])). 61.66/62.12 tff('855', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.12 tff('856', plain, 61.66/62.12 (op2(e23, e22) != h3(op1(e13, e12))) 61.66/62.12 <= (~ (op2(h3(e13), h3(e12)) = h3(op1(e13, e12)))), 61.66/62.12 inference('demod', [status(thm)], ['853', '854', '855'])). 61.66/62.12 tff('857', plain, 61.66/62.12 (op2(e23, e22) != h3(e13)) 61.66/62.12 <= (~ (op2(h3(e13), h3(e12)) = h3(op1(e13, e12))) & 61.66/62.12 (op1(e13, e12) = e13)), 61.66/62.12 inference('s_sup-', [status(thm)], ['852', '856'])). 61.66/62.12 tff('858', plain, e23 = h3(e13), 61.66/62.12 inference('s_sup+', [status(thm)], ['453', '458'])). 61.66/62.12 tff('859', plain, 61.66/62.12 (op2(e23, e22) != e23) 61.66/62.12 <= (~ (op2(h3(e13), h3(e12)) = h3(op1(e13, e12))) & 61.66/62.12 (op1(e13, e12) = e13)), 61.66/62.12 inference('demod', [status(thm)], ['857', '858'])). 61.66/62.12 tff('860', plain, 61.66/62.12 (e23 != e23) 61.66/62.12 <= (~ (op2(h3(e13), h3(e12)) = h3(op1(e13, e12))) & 61.66/62.12 (op1(e13, e12) = e13) & 61.66/62.12 (op2(e23, e22) = e23)), 61.66/62.12 inference('s_sup-', [status(thm)], ['851', '859'])). 61.66/62.12 tff('861', plain, 61.66/62.12 (op2(h3(e13), h3(e12)) = h3(op1(e13, e12))) | ~ (op1(e13, e12) = e13) | 61.66/62.12 ~ (op2(e23, e22) = e23), inference('simplify', [status(thm)], ['860'])). 61.66/62.12 tff('862', plain, 61.66/62.12 (op2(e20, e22) = e23 61.66/62.12 | e23 = op2(e21, e22) 61.66/62.12 | op2(e22, e22) = e23 61.66/62.12 | op2(e23, e22) = e23), 61.66/62.12 inference('cnf', [status(esa)], [ax4])). 61.66/62.12 tff('863', plain, 61.66/62.12 (op2(e23, e22) = e23) | (op2(e20, e22) = e23) | (e23 = op2(e21, e22)) | 61.66/62.12 (e23 = op2(e22, e22)), inference('split', [status(esa)], ['862'])). 61.66/62.12 tff('864', plain, (op2(e21, e22) = e22) <= ((op2(e21, e22) = e22)), 61.66/62.12 inference('split', [status(esa)], ['241'])). 61.66/62.12 tff('865', plain, (op1(e11, e12) = e12) <= ((op1(e11, e12) = e12)), 61.66/62.12 inference('split', [status(esa)], ['112'])). 61.66/62.12 tff('866', plain, 61.66/62.12 (op2(h3(e11), h3(e12)) != h3(op1(e11, e12))) 61.66/62.12 <= (~ (op2(h3(e11), h3(e12)) = h3(op1(e11, e12)))), 61.66/62.12 inference('split', [status(esa)], ['790'])). 61.66/62.12 tff('867', plain, e21 = h3(e11), 61.66/62.12 inference('s_sup+', [status(thm)], ['265', '266'])). 61.66/62.12 tff('868', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.12 tff('869', plain, 61.66/62.12 (op2(e21, e22) != h3(op1(e11, e12))) 61.66/62.12 <= (~ (op2(h3(e11), h3(e12)) = h3(op1(e11, e12)))), 61.66/62.12 inference('demod', [status(thm)], ['866', '867', '868'])). 61.66/62.12 tff('870', plain, 61.66/62.12 (op2(e21, e22) != h3(e12)) 61.66/62.12 <= (~ (op2(h3(e11), h3(e12)) = h3(op1(e11, e12))) & 61.66/62.12 (op1(e11, e12) = e12)), 61.66/62.12 inference('s_sup-', [status(thm)], ['865', '869'])). 61.66/62.12 tff('871', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.12 tff('872', plain, 61.66/62.12 (op2(e21, e22) != e22) 61.66/62.12 <= (~ (op2(h3(e11), h3(e12)) = h3(op1(e11, e12))) & 61.66/62.12 (op1(e11, e12) = e12)), 61.66/62.12 inference('demod', [status(thm)], ['870', '871'])). 61.66/62.12 tff('873', plain, 61.66/62.12 (e22 != e22) 61.66/62.12 <= (~ (op2(h3(e11), h3(e12)) = h3(op1(e11, e12))) & 61.66/62.12 (op2(e21, e22) = e22) & 61.66/62.12 (op1(e11, e12) = e12)), 61.66/62.12 inference('s_sup-', [status(thm)], ['864', '872'])). 61.66/62.12 tff('874', plain, 61.66/62.12 (op2(h3(e11), h3(e12)) = h3(op1(e11, e12))) | ~ (op1(e11, e12) = e12) | 61.66/62.12 ~ (op2(e21, e22) = e22), inference('simplify', [status(thm)], ['873'])). 61.66/62.12 tff('875', plain, 61.66/62.12 (h3(op1(e11, e10)) != op2(h3(e11), h3(e10)) 61.66/62.12 | h3(op1(e11, e11)) != op2(h3(e11), h3(e11)) 61.66/62.12 | h3(op1(e13, e10)) != op2(h3(e13), h3(e10)) 61.66/62.12 | op2(h3(e13), h3(e11)) != h3(op1(e13, e11)) 61.66/62.12 | op2(h3(e13), h3(e12)) != h3(op1(e13, e12)) 61.66/62.12 | h3(op1(e13, e13)) != op2(h3(e13), h3(e13)) 61.66/62.12 | h3(e13) != e23 61.66/62.12 | e22 != h3(e12) 61.66/62.12 | e21 != h3(e11) 61.66/62.12 | e20 != h3(e10) 61.66/62.12 | op2(h3(e12), h3(e13)) != h3(op1(e12, e13)) 61.66/62.12 | op2(h3(e12), h3(e12)) != h3(op1(e12, e12)) 61.66/62.12 | op2(h3(e12), h3(e11)) != h3(op1(e12, e11)) 61.66/62.12 | h3(op1(e12, e10)) != op2(h3(e12), h3(e10)) 61.66/62.12 | h3(op1(e11, e13)) != op2(h3(e11), h3(e13)) 61.66/62.12 | op2(h3(e11), h3(e12)) != h3(op1(e11, e12)) 61.66/62.12 | op2(h3(e10), h3(e13)) != h3(op1(e10, e13)) 61.66/62.12 | h3(op1(e10, e12)) != op2(h3(e10), h3(e12)) 61.66/62.12 | h3(op1(e10, e11)) != op2(h3(e10), h3(e11)) 61.66/62.12 | op2(h3(e10), h3(e10)) != h3(op1(e10, e10))), 61.66/62.12 inference('cnf', [status(esa)], [zf_stmt_5])). 61.66/62.12 tff('876', plain, 61.66/62.12 ~ (h3(op1(e11, e10)) = op2(h3(e11), h3(e10))) | 61.66/62.12 ~ (h3(op1(e12, e10)) = op2(h3(e12), h3(e10))) | 61.66/62.12 ~ (op2(h3(e12), h3(e11)) = h3(op1(e12, e11))) | ~ (e20 = h3(e10)) | 61.66/62.12 ~ (h3(op1(e10, e12)) = op2(h3(e10), h3(e12))) | 61.66/62.12 ~ (op2(h3(e12), h3(e12)) = h3(op1(e12, e12))) | 61.66/62.12 ~ (h3(op1(e13, e10)) = op2(h3(e13), h3(e10))) | 61.66/62.12 ~ (h3(op1(e11, e13)) = op2(h3(e11), h3(e13))) | ~ (e22 = h3(e12)) | 61.66/62.12 ~ (op2(h3(e10), h3(e13)) = h3(op1(e10, e13))) | ~ (e23 = h3(e13)) | 61.66/62.12 ~ (e21 = h3(e11)) | ~ (h3(op1(e10, e11)) = op2(h3(e10), h3(e11))) | 61.66/62.12 ~ (h3(op1(e13, e13)) = op2(h3(e13), h3(e13))) | 61.66/62.12 ~ (h3(op1(e11, e11)) = op2(h3(e11), h3(e11))) | 61.66/62.12 ~ (op2(h3(e12), h3(e13)) = h3(op1(e12, e13))) | 61.66/62.12 ~ (op2(h3(e13), h3(e11)) = h3(op1(e13, e11))) | 61.66/62.12 ~ (op2(h3(e13), h3(e12)) = h3(op1(e13, e12))) | 61.66/62.12 ~ (op2(h3(e10), h3(e10)) = h3(op1(e10, e10))) | 61.66/62.12 ~ (op2(h3(e11), h3(e12)) = h3(op1(e11, e12))), 61.66/62.12 inference('split', [status(esa)], ['875'])). 61.66/62.12 tff('877', plain, (op2(e22, e23) = e22) <= ((op2(e22, e23) = e22)), 61.66/62.12 inference('split', [status(esa)], ['212'])). 61.66/62.12 tff('878', plain, (op1(e12, e13) = e12) <= ((op1(e12, e13) = e12)), 61.66/62.12 inference('split', [status(esa)], ['27'])). 61.66/62.12 tff('879', plain, 61.66/62.12 (op2(h3(e12), h3(e13)) != h3(op1(e12, e13))) 61.66/62.12 <= (~ (op2(h3(e12), h3(e13)) = h3(op1(e12, e13)))), 61.66/62.12 inference('split', [status(esa)], ['790'])). 61.66/62.12 tff('880', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.12 tff('881', plain, e23 = h3(e13), 61.66/62.12 inference('s_sup+', [status(thm)], ['453', '458'])). 61.66/62.12 tff('882', plain, 61.66/62.12 (op2(e22, e23) != h3(op1(e12, e13))) 61.66/62.12 <= (~ (op2(h3(e12), h3(e13)) = h3(op1(e12, e13)))), 61.66/62.12 inference('demod', [status(thm)], ['879', '880', '881'])). 61.66/62.12 tff('883', plain, 61.66/62.12 (op2(e22, e23) != h3(e12)) 61.66/62.12 <= (~ (op2(h3(e12), h3(e13)) = h3(op1(e12, e13))) & 61.66/62.12 (op1(e12, e13) = e12)), 61.66/62.12 inference('s_sup-', [status(thm)], ['878', '882'])). 61.66/62.12 tff('884', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.12 tff('885', plain, 61.66/62.12 (op2(e22, e23) != e22) 61.66/62.12 <= (~ (op2(h3(e12), h3(e13)) = h3(op1(e12, e13))) & 61.66/62.12 (op1(e12, e13) = e12)), 61.66/62.12 inference('demod', [status(thm)], ['883', '884'])). 61.66/62.12 tff('886', plain, 61.66/62.12 (e22 != e22) 61.66/62.12 <= (~ (op2(h3(e12), h3(e13)) = h3(op1(e12, e13))) & 61.66/62.12 (op1(e12, e13) = e12) & 61.66/62.12 (op2(e22, e23) = e22)), 61.66/62.12 inference('s_sup-', [status(thm)], ['877', '885'])). 61.66/62.12 tff('887', plain, 61.66/62.12 (op2(h3(e12), h3(e13)) = h3(op1(e12, e13))) | ~ (op1(e12, e13) = e12) | 61.66/62.12 ~ (op2(e22, e23) = e22), inference('simplify', [status(thm)], ['886'])). 61.66/62.12 tff('888', plain, (e20 = op2(e22, e20)) <= ((e20 = op2(e22, e20))), 61.66/62.12 inference('split', [status(esa)], ['294'])). 61.66/62.12 tff('889', plain, (e10 = op1(e12, e10) | ~ zip_tseitin_13), 61.66/62.12 inference('cnf', [status(esa)], [zf_stmt_8])). 61.66/62.12 tff('890', plain, (e10 = op1(e12, e10)) <= ((e10 = op1(e12, e10))), 61.66/62.12 inference('split', [status(esa)], ['889'])). 61.66/62.12 tff('891', plain, 61.66/62.12 (h3(op1(e12, e10)) != op2(h3(e12), h3(e10))) 61.66/62.12 <= (~ (h3(op1(e12, e10)) = op2(h3(e12), h3(e10)))), 61.66/62.12 inference('split', [status(esa)], ['790'])). 61.66/62.12 tff('892', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.12 tff('893', plain, h3(e10) = e20, 61.66/62.12 inference('s_sup+', [status(thm)], ['472', '476'])). 61.66/62.12 tff('894', plain, 61.66/62.12 (h3(op1(e12, e10)) != op2(e22, e20)) 61.66/62.12 <= (~ (h3(op1(e12, e10)) = op2(h3(e12), h3(e10)))), 61.66/62.12 inference('demod', [status(thm)], ['891', '892', '893'])). 61.66/62.12 tff('895', plain, 61.66/62.12 (h3(e10) != op2(e22, e20)) 61.66/62.12 <= (~ (h3(op1(e12, e10)) = op2(h3(e12), h3(e10))) & 61.66/62.12 (e10 = op1(e12, e10))), 61.66/62.12 inference('s_sup-', [status(thm)], ['890', '894'])). 61.66/62.12 tff('896', plain, h3(e10) = e20, 61.66/62.12 inference('s_sup+', [status(thm)], ['472', '476'])). 61.66/62.12 tff('897', plain, 61.66/62.12 (e20 != op2(e22, e20)) 61.66/62.12 <= (~ (h3(op1(e12, e10)) = op2(h3(e12), h3(e10))) & 61.66/62.12 (e10 = op1(e12, e10))), 61.66/62.12 inference('demod', [status(thm)], ['895', '896'])). 61.66/62.12 tff('898', plain, 61.66/62.12 (e20 != e20) 61.66/62.12 <= (~ (h3(op1(e12, e10)) = op2(h3(e12), h3(e10))) & 61.66/62.12 (e20 = op2(e22, e20)) & 61.66/62.12 (e10 = op1(e12, e10))), 61.66/62.12 inference('s_sup-', [status(thm)], ['888', '897'])). 61.66/62.12 tff('899', plain, 61.66/62.12 (h3(op1(e12, e10)) = op2(h3(e12), h3(e10))) | ~ (e10 = op1(e12, e10)) | 61.66/62.12 ~ (e20 = op2(e22, e20)), inference('simplify', [status(thm)], ['898'])). 61.66/62.12 tff('900', plain, 61.66/62.12 (e23 = op2(e22, e23) 61.66/62.12 | op2(e22, e23) = e22 61.66/62.12 | e21 = op2(e22, e23) 61.66/62.12 | op2(e22, e23) = e20), 61.66/62.12 inference('cnf', [status(esa)], [ax3])). 61.66/62.12 tff('901', plain, op2(e22, e23) != e21, 61.66/62.12 inference('demod', [status(thm)], ['618', '619'])). 61.66/62.12 tff('902', plain, 61.66/62.12 (e23 = op2(e22, e23) | op2(e22, e23) = e22 | op2(e22, e23) = e20), 61.66/62.12 inference('simplify_reflect-', [status(thm)], ['900', '901'])). 61.66/62.12 tff('903', plain, 61.66/62.12 (op2(e22, e23) = e20) | (op2(e22, e23) = e22) | (e23 = op2(e22, e23)), 61.66/62.12 inference('split', [status(esa)], ['902'])). 61.66/62.12 tff('904', plain, (e20 = op2(e23, e23)) <= ((e20 = op2(e23, e23))), 61.66/62.12 inference('split', [status(esa)], ['63'])). 61.66/62.12 tff('905', plain, (e22 = op2(e23, e23)) <= ((e22 = op2(e23, e23))), 61.66/62.12 inference('split', [status(esa)], ['272'])). 61.66/62.12 tff('906', plain, 61.66/62.12 (e22 = e20) <= ((e20 = op2(e23, e23)) & (e22 = op2(e23, e23))), 61.66/62.12 inference('s_sup+', [status(thm)], ['904', '905'])). 61.66/62.12 tff('907', plain, e22 != e20, inference('cnf', [status(esa)], [ax8])). 61.66/62.12 tff('908', plain, ~ (e22 = op2(e23, e23)) | ~ (e20 = op2(e23, e23)), 61.66/62.12 inference('simplify_reflect-', [status(thm)], ['906', '907'])). 61.66/62.12 tff('909', plain, (h4(e13) = op2(e23, e20)) <= ((e20 = op2(e23, e23))), 61.66/62.12 inference('s_sup+', [status(thm)], ['158', '159'])). 61.66/62.12 tff('910', plain, (op2(e23, e20) = e20) <= ((op2(e23, e20) = e20)), 61.66/62.12 inference('split', [status(esa)], ['294'])). 61.66/62.12 tff('911', plain, 61.66/62.12 (h4(e13) = e20) <= ((op2(e23, e20) = e20) & (e20 = op2(e23, e23))), 61.66/62.12 inference('s_sup+', [status(thm)], ['909', '910'])). 61.66/62.12 tff('912', plain, (h4(e13) = op2(e23, e20)) <= ((e20 = op2(e23, e23))), 61.66/62.12 inference('s_sup+', [status(thm)], ['158', '159'])). 61.66/62.12 tff('913', plain, op2(e23, e20) != op2(e23, e23), 61.66/62.12 inference('cnf', [status(esa)], [ax6])). 61.66/62.12 tff('914', plain, op2(e23, e23) = h4(e11), 61.66/62.12 inference('cnf', [status(esa)], [ax17])). 61.66/62.12 tff('915', plain, op2(e23, e20) != h4(e11), 61.66/62.12 inference('demod', [status(thm)], ['913', '914'])). 61.66/62.12 tff('916', plain, (h4(e13) != h4(e11)) <= ((e20 = op2(e23, e23))), 61.66/62.12 inference('s_sup-', [status(thm)], ['912', '915'])). 61.66/62.12 tff('917', plain, (e20 = h4(e11)) <= ((e20 = op2(e23, e23))), 61.66/62.12 inference('s_sup+', [status(thm)], ['64', '65'])). 61.66/62.12 tff('918', plain, (h4(e13) != e20) <= ((e20 = op2(e23, e23))), 61.66/62.12 inference('demod', [status(thm)], ['916', '917'])). 61.66/62.12 tff('919', plain, ~ (e20 = op2(e23, e23)) | ~ (op2(e23, e20) = e20), 61.66/62.12 inference('simplify_reflect-', [status(thm)], ['911', '918'])). 61.66/62.12 tff('920', plain, (h4(e11) = e21) <= ((e21 = h4(e11))), 61.66/62.12 inference('split', [status(esa)], ['110'])). 61.66/62.12 tff(zf_stmt_13, axiom, 61.66/62.12 (zip_tseitin_34 => 61.66/62.12 (((e23 != op2(e23,e21)) | (e21 != op2(e23,e23))) & 61.66/62.12 ((e22 != op2(e23,e23)) | (op2(e23,e22) != e23)) & 61.66/62.12 ((e23 != op2(e23,e23)) | (op2(e23,e23) != e23)) & 61.66/62.12 ((op2(e23,e23) != e20) | (op2(e23,e20) != e23)) & (op2(e23,e20) = e20) & 61.66/62.12 (op2(e20,e23) = e20)))). 61.66/62.12 tff('921', plain, 61.66/62.12 (e21 != op2(e23, e23) | e23 != op2(e23, e21) | ~ zip_tseitin_34), 61.66/62.12 inference('cnf', [status(esa)], [zf_stmt_13])). 61.66/62.12 tff('922', plain, (e21 != op2(e23, e23)) <= (~ (op2(e23, e23) = e21)), 61.66/62.12 inference('split', [status(esa)], ['921'])). 61.66/62.12 tff('923', plain, op2(e23, e23) = h4(e11), 61.66/62.12 inference('cnf', [status(esa)], [ax17])). 61.66/62.12 tff('924', plain, (e21 != h4(e11)) <= (~ (op2(e23, e23) = e21)), 61.66/62.12 inference('demod', [status(thm)], ['922', '923'])). 61.66/62.12 tff('925', plain, 61.66/62.12 (e21 != e21) <= (~ (op2(e23, e23) = e21) & (e21 = h4(e11))), 61.66/62.12 inference('s_sup-', [status(thm)], ['920', '924'])). 61.66/62.12 tff('926', plain, (op2(e23, e23) = e21) | ~ (e21 = h4(e11)), 61.66/62.12 inference('simplify', [status(thm)], ['925'])). 61.66/62.12 tff('927', plain, 61.66/62.12 (h1(op1(e10, e10)) != op2(h1(e10), h1(e10)) 61.66/62.12 | op2(h1(e10), h1(e13)) != h1(op1(e10, e13)) 61.66/62.12 | h1(op1(e11, e11)) != op2(h1(e11), h1(e11)) 61.66/62.12 | op2(h1(e12), h1(e10)) != h1(op1(e12, e10)) 61.66/62.12 | op2(h1(e12), h1(e11)) != h1(op1(e12, e11)) 61.66/62.12 | op2(h1(e12), h1(e12)) != h1(op1(e12, e12)) 61.66/62.12 | op2(h1(e12), h1(e13)) != h1(op1(e12, e13)) 61.66/62.12 | h1(op1(e13, e10)) != op2(h1(e13), h1(e10)) 61.66/62.12 | op2(h1(e13), h1(e11)) != h1(op1(e13, e11)) 61.66/62.12 | h1(e12) != e20 61.66/62.12 | h1(e10) != e21 61.66/62.12 | e22 != h1(e13) 61.66/62.12 | e23 != h1(e11) 61.66/62.12 | h1(op1(e13, e13)) != op2(h1(e13), h1(e13)) 61.66/62.12 | h1(op1(e13, e12)) != op2(h1(e13), h1(e12)) 61.66/62.12 | h1(op1(e11, e13)) != op2(h1(e11), h1(e13)) 61.66/62.12 | h1(op1(e11, e12)) != op2(h1(e11), h1(e12)) 61.66/62.12 | op2(h1(e11), h1(e10)) != h1(op1(e11, e10)) 61.66/62.12 | op2(h1(e10), h1(e12)) != h1(op1(e10, e12)) 61.66/62.12 | h1(op1(e10, e11)) != op2(h1(e10), h1(e11))), 61.66/62.12 inference('cnf', [status(esa)], [zf_stmt_5])). 61.66/62.12 tff('928', plain, e10 = op1(e11, e11), 61.66/62.12 inference('demod', [status(thm)], ['4', '5', '6'])). 61.66/62.12 tff('929', plain, h1(e10) = op2(op2(e20, e20), op2(e20, e20)), 61.66/62.12 inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('930', plain, h1(e11) = op2(e20, e20), 61.66/62.12 inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('931', plain, h1(e11) = op2(e20, e20), 61.66/62.12 inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('932', plain, h1(e10) = op2(h1(e11), h1(e11)), 61.66/62.12 inference('demod', [status(thm)], ['929', '930', '931'])). 61.66/62.12 tff('933', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('934', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('935', plain, h1(e13) = op2(e20, h1(e11)), 61.66/62.12 inference('demod', [status(thm)], ['52', '53'])). 61.66/62.12 tff('936', plain, op1(e12, e11) = e13, 61.66/62.12 inference('demod', [status(thm)], ['10', '11'])). 61.66/62.12 tff('937', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('938', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('939', plain, h1(e11) = op2(e20, e20), 61.66/62.12 inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('940', plain, e11 = op1(e12, e12), 61.66/62.12 inference('cnf', [status(esa)], [ax12])). 61.66/62.12 tff('941', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('942', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('943', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('944', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('945', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('946', plain, 61.66/62.12 (h1(op1(e10, e10)) != op2(h1(e10), h1(e10)) 61.66/62.12 | op2(h1(e10), h1(e13)) != h1(op1(e10, e13)) 61.66/62.12 | h1(e10) != h1(e10) 61.66/62.12 | op2(e20, h1(e10)) != h1(op1(e12, e10)) 61.66/62.12 | h1(e13) != h1(e13) 61.66/62.12 | h1(e11) != h1(e11) 61.66/62.12 | op2(e20, h1(e13)) != h1(op1(e12, e13)) 61.66/62.12 | h1(op1(e13, e10)) != op2(h1(e13), h1(e10)) 61.66/62.12 | op2(h1(e13), h1(e11)) != h1(op1(e13, e11)) 61.66/62.12 | e20 != e20 61.66/62.12 | h1(e10) != e21 61.66/62.12 | e22 != h1(e13) 61.66/62.12 | e23 != h1(e11) 61.66/62.12 | h1(op1(e13, e13)) != op2(h1(e13), h1(e13)) 61.66/62.12 | h1(op1(e13, e12)) != op2(h1(e13), e20) 61.66/62.12 | h1(op1(e11, e13)) != op2(h1(e11), h1(e13)) 61.66/62.12 | h1(op1(e11, e12)) != op2(h1(e11), e20) 61.66/62.12 | op2(h1(e11), h1(e10)) != h1(op1(e11, e10)) 61.66/62.12 | op2(h1(e10), e20) != h1(op1(e10, e12)) 61.66/62.12 | h1(op1(e10, e11)) != op2(h1(e10), h1(e11))), 61.66/62.12 inference('demod', [status(thm)], 61.66/62.12 ['927', '928', '932', '933', '934', '935', '936', '937', 61.66/62.12 '938', '939', '940', '941', '942', '943', '944', '945'])). 61.66/62.12 tff('947', plain, 61.66/62.12 (h1(op1(e10, e11)) != op2(h1(e10), h1(e11)) 61.66/62.12 | op2(h1(e10), e20) != h1(op1(e10, e12)) 61.66/62.12 | op2(h1(e11), h1(e10)) != h1(op1(e11, e10)) 61.66/62.12 | h1(op1(e11, e12)) != op2(h1(e11), e20) 61.66/62.12 | h1(op1(e11, e13)) != op2(h1(e11), h1(e13)) 61.66/62.12 | h1(op1(e13, e12)) != op2(h1(e13), e20) 61.66/62.12 | h1(op1(e13, e13)) != op2(h1(e13), h1(e13)) 61.66/62.12 | e23 != h1(e11) 61.66/62.12 | e22 != h1(e13) 61.66/62.12 | h1(e10) != e21 61.66/62.12 | op2(h1(e13), h1(e11)) != h1(op1(e13, e11)) 61.66/62.12 | h1(op1(e13, e10)) != op2(h1(e13), h1(e10)) 61.66/62.12 | op2(e20, h1(e13)) != h1(op1(e12, e13)) 61.66/62.12 | op2(e20, h1(e10)) != h1(op1(e12, e10)) 61.66/62.12 | op2(h1(e10), h1(e13)) != h1(op1(e10, e13)) 61.66/62.12 | h1(op1(e10, e10)) != op2(h1(e10), h1(e10))), 61.66/62.12 inference('simplify', [status(thm)], ['946'])). 61.66/62.12 tff('948', plain, 61.66/62.12 ~ (op2(e20, h1(e13)) = h1(op1(e12, e13))) | 61.66/62.12 ~ (h1(op1(e10, e11)) = op2(h1(e10), h1(e11))) | ~ (e23 = h1(e11)) | 61.66/62.12 ~ (op2(h1(e10), h1(e13)) = h1(op1(e10, e13))) | 61.66/62.12 ~ (h1(op1(e13, e12)) = op2(h1(e13), e20)) | 61.66/62.12 ~ (op2(h1(e11), h1(e10)) = h1(op1(e11, e10))) | ~ (h1(e10) = e21) | 61.66/62.12 ~ (h1(op1(e11, e13)) = op2(h1(e11), h1(e13))) | 61.66/62.12 ~ (op2(e20, h1(e10)) = h1(op1(e12, e10))) | 61.66/62.12 ~ (h1(op1(e11, e12)) = op2(h1(e11), e20)) | 61.66/62.12 ~ (op2(h1(e10), e20) = h1(op1(e10, e12))) | 61.66/62.12 ~ (op2(h1(e13), h1(e11)) = h1(op1(e13, e11))) | 61.66/62.12 ~ (h1(op1(e13, e13)) = op2(h1(e13), h1(e13))) | 61.66/62.12 ~ (h1(op1(e10, e10)) = op2(h1(e10), h1(e10))) | ~ (e22 = h1(e13)) | 61.66/62.12 ~ (h1(op1(e13, e10)) = op2(h1(e13), h1(e10))), 61.66/62.12 inference('split', [status(esa)], ['947'])). 61.66/62.12 tff('949', plain, (op2(e21, e22) = e22) <= ((op2(e21, e22) = e22)), 61.66/62.12 inference('split', [status(esa)], ['241'])). 61.66/62.12 tff('950', plain, (h4(e11) = e21) <= ((e21 = h4(e11))), 61.66/62.12 inference('split', [status(esa)], ['110'])). 61.66/62.12 tff('951', plain, (e23 = h1(e11)) <= ((e23 = h1(e11))), 61.66/62.12 inference('split', [status(esa)], ['145'])). 61.66/62.12 tff('952', plain, h1(e13) = op2(e20, h1(e11)), 61.66/62.12 inference('demod', [status(thm)], ['52', '53'])). 61.66/62.12 tff('953', plain, (h1(e13) = op2(e20, e23)) <= ((e23 = h1(e11))), 61.66/62.12 inference('s_sup+', [status(thm)], ['951', '952'])). 61.66/62.12 tff('954', plain, (e22 = op2(e20, e23)) <= ((e22 = op2(e20, e23))), 61.66/62.12 inference('split', [status(esa)], ['526'])). 61.66/62.12 tff('955', plain, 61.66/62.12 (e22 = h1(e13)) <= ((e23 = h1(e11)) & (e22 = op2(e20, e23))), 61.66/62.12 inference('s_sup+', [status(thm)], ['953', '954'])). 61.66/62.12 tff('956', plain, (op1(e10, e13) = e13 | ~ zip_tseitin_9), 61.66/62.12 inference('cnf', [status(esa)], [zf_stmt_12])). 61.66/62.12 tff('957', plain, (op1(e10, e13) = e13) <= ((op1(e10, e13) = e13)), 61.66/62.12 inference('split', [status(esa)], ['956'])). 61.66/62.12 tff('958', plain, 61.66/62.12 (h1(op1(e10, e10)) != op2(h1(e10), h1(e10)) 61.66/62.12 | op2(h1(e10), h1(e13)) != h1(op1(e10, e13)) 61.66/62.12 | h1(op1(e11, e11)) != op2(h1(e11), h1(e11)) 61.66/62.12 | op2(h1(e12), h1(e10)) != h1(op1(e12, e10)) 61.66/62.12 | op2(h1(e12), h1(e11)) != h1(op1(e12, e11)) 61.66/62.12 | op2(h1(e12), h1(e12)) != h1(op1(e12, e12)) 61.66/62.12 | op2(h1(e12), h1(e13)) != h1(op1(e12, e13)) 61.66/62.12 | h1(op1(e13, e10)) != op2(h1(e13), h1(e10)) 61.66/62.12 | op2(h1(e13), h1(e11)) != h1(op1(e13, e11)) 61.66/62.12 | e20 != h1(e10) 61.66/62.12 | h1(e10) != e21 61.66/62.12 | h1(e11) != e22 61.66/62.12 | e23 != h1(e10) 61.66/62.12 | h1(op1(e13, e13)) != op2(h1(e13), h1(e13)) 61.66/62.12 | h1(op1(e13, e12)) != op2(h1(e13), h1(e12)) 61.66/62.12 | h1(op1(e11, e13)) != op2(h1(e11), h1(e13)) 61.66/62.12 | h1(op1(e11, e12)) != op2(h1(e11), h1(e12)) 61.66/62.12 | op2(h1(e11), h1(e10)) != h1(op1(e11, e10)) 61.66/62.12 | op2(h1(e10), h1(e12)) != h1(op1(e10, e12)) 61.66/62.12 | h1(op1(e10, e11)) != op2(h1(e10), h1(e11))), 61.66/62.12 inference('cnf', [status(esa)], [zf_stmt_5])). 61.66/62.12 tff('959', plain, e10 = op1(e11, e11), 61.66/62.12 inference('demod', [status(thm)], ['4', '5', '6'])). 61.66/62.12 tff('960', plain, h1(e10) = op2(h1(e11), h1(e11)), 61.66/62.12 inference('demod', [status(thm)], ['929', '930', '931'])). 61.66/62.12 tff('961', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('962', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('963', plain, h1(e13) = op2(e20, h1(e11)), 61.66/62.12 inference('demod', [status(thm)], ['52', '53'])). 61.66/62.12 tff('964', plain, op1(e12, e11) = e13, 61.66/62.12 inference('demod', [status(thm)], ['10', '11'])). 61.66/62.12 tff('965', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('966', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('967', plain, h1(e11) = op2(e20, e20), 61.66/62.12 inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('968', plain, e11 = op1(e12, e12), 61.66/62.12 inference('cnf', [status(esa)], [ax12])). 61.66/62.12 tff('969', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('970', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('971', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('972', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('973', plain, 61.66/62.12 (h1(op1(e10, e10)) != op2(h1(e10), h1(e10)) 61.66/62.12 | op2(h1(e10), h1(e13)) != h1(op1(e10, e13)) 61.66/62.12 | h1(e10) != h1(e10) 61.66/62.12 | op2(e20, h1(e10)) != h1(op1(e12, e10)) 61.66/62.12 | h1(e13) != h1(e13) 61.66/62.12 | h1(e11) != h1(e11) 61.66/62.12 | op2(e20, h1(e13)) != h1(op1(e12, e13)) 61.66/62.12 | h1(op1(e13, e10)) != op2(h1(e13), h1(e10)) 61.66/62.12 | op2(h1(e13), h1(e11)) != h1(op1(e13, e11)) 61.66/62.12 | e20 != h1(e10) 61.66/62.12 | h1(e10) != e21 61.66/62.12 | h1(e11) != e22 61.66/62.12 | e23 != h1(e10) 61.66/62.12 | h1(op1(e13, e13)) != op2(h1(e13), h1(e13)) 61.66/62.12 | h1(op1(e13, e12)) != op2(h1(e13), e20) 61.66/62.12 | h1(op1(e11, e13)) != op2(h1(e11), h1(e13)) 61.66/62.12 | h1(op1(e11, e12)) != op2(h1(e11), e20) 61.66/62.12 | op2(h1(e11), h1(e10)) != h1(op1(e11, e10)) 61.66/62.12 | op2(h1(e10), e20) != h1(op1(e10, e12)) 61.66/62.12 | h1(op1(e10, e11)) != op2(h1(e10), h1(e11))), 61.66/62.12 inference('demod', [status(thm)], 61.66/62.12 ['958', '959', '960', '961', '962', '963', '964', '965', 61.66/62.12 '966', '967', '968', '969', '970', '971', '972'])). 61.66/62.12 tff('974', plain, 61.66/62.12 (h1(op1(e10, e11)) != op2(h1(e10), h1(e11)) 61.66/62.12 | op2(h1(e10), e20) != h1(op1(e10, e12)) 61.66/62.12 | op2(h1(e11), h1(e10)) != h1(op1(e11, e10)) 61.66/62.12 | h1(op1(e11, e12)) != op2(h1(e11), e20) 61.66/62.12 | h1(op1(e11, e13)) != op2(h1(e11), h1(e13)) 61.66/62.12 | h1(op1(e13, e12)) != op2(h1(e13), e20) 61.66/62.12 | h1(op1(e13, e13)) != op2(h1(e13), h1(e13)) 61.66/62.12 | e23 != h1(e10) 61.66/62.12 | h1(e11) != e22 61.66/62.12 | h1(e10) != e21 61.66/62.12 | e20 != h1(e10) 61.66/62.12 | op2(h1(e13), h1(e11)) != h1(op1(e13, e11)) 61.66/62.12 | h1(op1(e13, e10)) != op2(h1(e13), h1(e10)) 61.66/62.12 | op2(e20, h1(e13)) != h1(op1(e12, e13)) 61.66/62.12 | op2(e20, h1(e10)) != h1(op1(e12, e10)) 61.66/62.12 | op2(h1(e10), h1(e13)) != h1(op1(e10, e13)) 61.66/62.12 | h1(op1(e10, e10)) != op2(h1(e10), h1(e10))), 61.66/62.12 inference('simplify', [status(thm)], ['973'])). 61.66/62.12 tff('975', plain, 61.66/62.12 (op2(h1(e10), h1(e13)) != h1(op1(e10, e13))) 61.66/62.12 <= (~ (op2(h1(e10), h1(e13)) = h1(op1(e10, e13)))), 61.66/62.12 inference('split', [status(esa)], ['974'])). 61.66/62.12 tff('976', plain, 61.66/62.12 (op2(h1(e10), h1(e13)) != h1(e13)) 61.66/62.12 <= (~ (op2(h1(e10), h1(e13)) = h1(op1(e10, e13))) & 61.66/62.12 (op1(e10, e13) = e13)), 61.66/62.12 inference('s_sup-', [status(thm)], ['957', '975'])). 61.66/62.12 tff('977', plain, 61.66/62.12 (op2(h1(e10), e22) != e22) 61.66/62.12 <= (~ (op2(h1(e10), h1(e13)) = h1(op1(e10, e13))) & 61.66/62.12 (e23 = h1(e11)) & 61.66/62.12 (op1(e10, e13) = e13) & 61.66/62.12 (e22 = op2(e20, e23))), 61.66/62.12 inference('s_sup-', [status(thm)], ['955', '976'])). 61.66/62.12 tff('978', plain, (e23 = h1(e11)) <= ((e23 = h1(e11))), 61.66/62.12 inference('split', [status(esa)], ['145'])). 61.66/62.12 tff('979', plain, h1(e10) = op2(h1(e11), h1(e11)), 61.66/62.12 inference('demod', [status(thm)], ['929', '930', '931'])). 61.66/62.12 tff('980', plain, (h1(e10) = op2(e23, e23)) <= ((e23 = h1(e11))), 61.66/62.12 inference('s_sup+', [status(thm)], ['978', '979'])). 61.66/62.12 tff('981', plain, op2(e23, e23) = h4(e11), 61.66/62.12 inference('cnf', [status(esa)], [ax17])). 61.66/62.12 tff('982', plain, (h1(e10) = h4(e11)) <= ((e23 = h1(e11))), 61.66/62.12 inference('s_sup+', [status(thm)], ['980', '981'])). 61.66/62.12 tff('983', plain, 61.66/62.12 (op2(h4(e11), e22) != e22) 61.66/62.12 <= (~ (op2(h1(e10), h1(e13)) = h1(op1(e10, e13))) & 61.66/62.12 (e23 = h1(e11)) & 61.66/62.12 (op1(e10, e13) = e13) & 61.66/62.12 (e22 = op2(e20, e23))), 61.66/62.12 inference('demod', [status(thm)], ['977', '982'])). 61.66/62.12 tff('984', plain, 61.66/62.12 (op2(e21, e22) != e22) 61.66/62.12 <= (~ (op2(h1(e10), h1(e13)) = h1(op1(e10, e13))) & 61.66/62.12 (e23 = h1(e11)) & 61.66/62.12 (op1(e10, e13) = e13) & 61.66/62.12 (e21 = h4(e11)) & 61.66/62.12 (e22 = op2(e20, e23))), 61.66/62.12 inference('s_sup-', [status(thm)], ['950', '983'])). 61.66/62.12 tff('985', plain, 61.66/62.12 (e22 != e22) 61.66/62.12 <= (~ (op2(h1(e10), h1(e13)) = h1(op1(e10, e13))) & 61.66/62.12 (e23 = h1(e11)) & 61.66/62.12 (op2(e21, e22) = e22) & 61.66/62.12 (op1(e10, e13) = e13) & 61.66/62.12 (e21 = h4(e11)) & 61.66/62.12 (e22 = op2(e20, e23))), 61.66/62.12 inference('s_sup-', [status(thm)], ['949', '984'])). 61.66/62.12 tff('986', plain, 61.66/62.12 (op2(h1(e10), h1(e13)) = h1(op1(e10, e13))) | ~ (op1(e10, e13) = e13) | 61.66/62.12 ~ (e23 = h1(e11)) | ~ (e21 = h4(e11)) | ~ (e22 = op2(e20, e23)) | 61.66/62.12 ~ (op2(e21, e22) = e22), inference('simplify', [status(thm)], ['985'])). 61.66/62.12 tff('987', plain, (h4(e11) = e21) <= ((e21 = h4(e11))), 61.66/62.12 inference('split', [status(esa)], ['110'])). 61.66/62.12 tff(zf_stmt_14, axiom, 61.66/62.12 (zip_tseitin_50 => 61.66/62.12 ((op2(e20,e20) = e23) & ((op2(e22,e22) != e23) | (op2(e22,e23) = e22)) & 61.66/62.12 ((e23 = op2(e23,e23)) | (op2(e23,e23) != e23)) & 61.66/62.12 ((e23 != op2(e21,e21)) | (e21 = op2(e21,e23))) & 61.66/62.12 ((e23 != op2(e20,e20)) | (e20 = op2(e20,e23)))))). 61.66/62.12 tff('988', plain, (op2(e20, e20) = e23 | ~ zip_tseitin_50), 61.66/62.12 inference('cnf', [status(esa)], [zf_stmt_14])). 61.66/62.12 tff('989', plain, (op2(e20, e20) = e23) <= ((op2(e20, e20) = e23)), 61.66/62.12 inference('split', [status(esa)], ['988'])). 61.66/62.12 tff('990', plain, h1(e11) = op2(e20, e20), 61.66/62.12 inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('991', plain, (h1(e11) = e23) <= ((op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup+', [status(thm)], ['989', '990'])). 61.66/62.12 tff('992', plain, h1(e13) = op2(e20, h1(e11)), 61.66/62.12 inference('demod', [status(thm)], ['52', '53'])). 61.66/62.12 tff('993', plain, (h1(e13) = op2(e20, e23)) <= ((op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup+', [status(thm)], ['991', '992'])). 61.66/62.12 tff('994', plain, (e22 = op2(e20, e23)) <= ((e22 = op2(e20, e23))), 61.66/62.12 inference('split', [status(esa)], ['526'])). 61.66/62.12 tff('995', plain, 61.66/62.12 (e22 = h1(e13)) <= ((e22 = op2(e20, e23)) & (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup+', [status(thm)], ['993', '994'])). 61.66/62.12 tff('996', plain, (op1(e13, e10) = e11) <= ((op1(e13, e10) = e11)), 61.66/62.12 inference('split', [status(esa)], ['749'])). 61.66/62.12 tff('997', plain, 61.66/62.12 (h1(op1(e13, e10)) != op2(h1(e13), h1(e10))) 61.66/62.12 <= (~ (h1(op1(e13, e10)) = op2(h1(e13), h1(e10)))), 61.66/62.12 inference('split', [status(esa)], ['974'])). 61.66/62.12 tff('998', plain, 61.66/62.12 (h1(e11) != op2(h1(e13), h1(e10))) 61.66/62.12 <= (~ (h1(op1(e13, e10)) = op2(h1(e13), h1(e10))) & 61.66/62.12 (op1(e13, e10) = e11)), 61.66/62.12 inference('s_sup-', [status(thm)], ['996', '997'])). 61.66/62.12 tff('999', plain, 61.66/62.12 (h1(e11) != op2(e22, h1(e10))) 61.66/62.12 <= (~ (h1(op1(e13, e10)) = op2(h1(e13), h1(e10))) & 61.66/62.12 (e22 = op2(e20, e23)) & 61.66/62.12 (op1(e13, e10) = e11) & 61.66/62.12 (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup-', [status(thm)], ['995', '998'])). 61.66/62.12 tff('1000', plain, (h1(e11) = e23) <= ((op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup+', [status(thm)], ['989', '990'])). 61.66/62.12 tff('1001', plain, (h1(e11) = e23) <= ((op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup+', [status(thm)], ['989', '990'])). 61.66/62.12 tff('1002', plain, h1(e10) = op2(h1(e11), h1(e11)), 61.66/62.12 inference('demod', [status(thm)], ['929', '930', '931'])). 61.66/62.12 tff('1003', plain, (h1(e10) = op2(e23, e23)) <= ((op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup+', [status(thm)], ['1001', '1002'])). 61.66/62.12 tff('1004', plain, op2(e23, e23) = h4(e11), 61.66/62.12 inference('cnf', [status(esa)], [ax17])). 61.66/62.12 tff('1005', plain, (h1(e10) = h4(e11)) <= ((op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup+', [status(thm)], ['1003', '1004'])). 61.66/62.12 tff('1006', plain, 61.66/62.12 (e23 != op2(e22, h4(e11))) 61.66/62.12 <= (~ (h1(op1(e13, e10)) = op2(h1(e13), h1(e10))) & 61.66/62.12 (e22 = op2(e20, e23)) & 61.66/62.12 (op1(e13, e10) = e11) & 61.66/62.12 (op2(e20, e20) = e23)), 61.66/62.12 inference('demod', [status(thm)], ['999', '1000', '1005'])). 61.66/62.12 tff('1007', plain, 61.66/62.12 (e23 != op2(e22, e21)) 61.66/62.12 <= (~ (h1(op1(e13, e10)) = op2(h1(e13), h1(e10))) & 61.66/62.12 (e21 = h4(e11)) & 61.66/62.12 (e22 = op2(e20, e23)) & 61.66/62.12 (op1(e13, e10) = e11) & 61.66/62.12 (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup-', [status(thm)], ['987', '1006'])). 61.66/62.12 tff('1008', plain, op2(e22, e21) = e23, 61.66/62.12 inference('demod', [status(thm)], ['264', '267'])). 61.66/62.12 tff('1009', plain, 61.66/62.12 (e23 != e23) 61.66/62.12 <= (~ (h1(op1(e13, e10)) = op2(h1(e13), h1(e10))) & 61.66/62.12 (e21 = h4(e11)) & 61.66/62.12 (e22 = op2(e20, e23)) & 61.66/62.12 (op1(e13, e10) = e11) & 61.66/62.12 (op2(e20, e20) = e23)), 61.66/62.12 inference('demod', [status(thm)], ['1007', '1008'])). 61.66/62.12 tff('1010', plain, 61.66/62.12 (h1(op1(e13, e10)) = op2(h1(e13), h1(e10))) | ~ (op1(e13, e10) = e11) | 61.66/62.12 ~ (op2(e20, e20) = e23) | ~ (e21 = h4(e11)) | ~ (e22 = op2(e20, e23)), 61.66/62.12 inference('simplify', [status(thm)], ['1009'])). 61.66/62.12 tff('1011', plain, (op2(e20, e21) = e21) <= ((op2(e20, e21) = e21)), 61.66/62.12 inference('split', [status(esa)], ['356'])). 61.66/62.12 tff('1012', plain, (h4(e11) = e21) <= ((e21 = h4(e11))), 61.66/62.12 inference('split', [status(esa)], ['110'])). 61.66/62.12 tff('1013', plain, (h1(e10) = h4(e11)) <= ((op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup+', [status(thm)], ['1003', '1004'])). 61.66/62.12 tff('1014', plain, (e10 = op1(e12, e10)) <= ((e10 = op1(e12, e10))), 61.66/62.12 inference('split', [status(esa)], ['889'])). 61.66/62.12 tff('1015', plain, 61.66/62.12 (h1(op1(e10, e10)) != op2(h1(e10), h1(e10)) 61.66/62.12 | op2(h1(e10), h1(e13)) != h1(op1(e10, e13)) 61.66/62.12 | h1(op1(e11, e11)) != op2(h1(e11), h1(e11)) 61.66/62.12 | op2(h1(e12), h1(e10)) != h1(op1(e12, e10)) 61.66/62.12 | op2(h1(e12), h1(e11)) != h1(op1(e12, e11)) 61.66/62.12 | op2(h1(e12), h1(e12)) != h1(op1(e12, e12)) 61.66/62.12 | op2(h1(e12), h1(e13)) != h1(op1(e12, e13)) 61.66/62.12 | h1(op1(e13, e10)) != op2(h1(e13), h1(e10)) 61.66/62.12 | op2(h1(e13), h1(e11)) != h1(op1(e13, e11)) 61.66/62.12 | e20 != h1(e10) 61.66/62.12 | h1(e10) != e21 61.66/62.12 | h1(e11) != e22 61.66/62.12 | e23 != h1(e11) 61.66/62.12 | h1(op1(e13, e13)) != op2(h1(e13), h1(e13)) 61.66/62.12 | h1(op1(e13, e12)) != op2(h1(e13), h1(e12)) 61.66/62.12 | h1(op1(e11, e13)) != op2(h1(e11), h1(e13)) 61.66/62.12 | h1(op1(e11, e12)) != op2(h1(e11), h1(e12)) 61.66/62.12 | op2(h1(e11), h1(e10)) != h1(op1(e11, e10)) 61.66/62.12 | op2(h1(e10), h1(e12)) != h1(op1(e10, e12)) 61.66/62.12 | h1(op1(e10, e11)) != op2(h1(e10), h1(e11))), 61.66/62.12 inference('cnf', [status(esa)], [zf_stmt_5])). 61.66/62.12 tff('1016', plain, e10 = op1(e11, e11), 61.66/62.12 inference('demod', [status(thm)], ['4', '5', '6'])). 61.66/62.12 tff('1017', plain, h1(e10) = op2(h1(e11), h1(e11)), 61.66/62.12 inference('demod', [status(thm)], ['929', '930', '931'])). 61.66/62.12 tff('1018', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('1019', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('1020', plain, h1(e13) = op2(e20, h1(e11)), 61.66/62.12 inference('demod', [status(thm)], ['52', '53'])). 61.66/62.12 tff('1021', plain, op1(e12, e11) = e13, 61.66/62.12 inference('demod', [status(thm)], ['10', '11'])). 61.66/62.12 tff('1022', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('1023', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('1024', plain, h1(e11) = op2(e20, e20), 61.66/62.12 inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('1025', plain, e11 = op1(e12, e12), 61.66/62.12 inference('cnf', [status(esa)], [ax12])). 61.66/62.12 tff('1026', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('1027', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('1028', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('1029', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('1030', plain, 61.66/62.12 (h1(op1(e10, e10)) != op2(h1(e10), h1(e10)) 61.66/62.12 | op2(h1(e10), h1(e13)) != h1(op1(e10, e13)) 61.66/62.12 | h1(e10) != h1(e10) 61.66/62.12 | op2(e20, h1(e10)) != h1(op1(e12, e10)) 61.66/62.12 | h1(e13) != h1(e13) 61.66/62.12 | h1(e11) != h1(e11) 61.66/62.12 | op2(e20, h1(e13)) != h1(op1(e12, e13)) 61.66/62.12 | h1(op1(e13, e10)) != op2(h1(e13), h1(e10)) 61.66/62.12 | op2(h1(e13), h1(e11)) != h1(op1(e13, e11)) 61.66/62.12 | e20 != h1(e10) 61.66/62.12 | h1(e10) != e21 61.66/62.12 | h1(e11) != e22 61.66/62.12 | e23 != h1(e11) 61.66/62.12 | h1(op1(e13, e13)) != op2(h1(e13), h1(e13)) 61.66/62.12 | h1(op1(e13, e12)) != op2(h1(e13), e20) 61.66/62.12 | h1(op1(e11, e13)) != op2(h1(e11), h1(e13)) 61.66/62.12 | h1(op1(e11, e12)) != op2(h1(e11), e20) 61.66/62.12 | op2(h1(e11), h1(e10)) != h1(op1(e11, e10)) 61.66/62.12 | op2(h1(e10), e20) != h1(op1(e10, e12)) 61.66/62.12 | h1(op1(e10, e11)) != op2(h1(e10), h1(e11))), 61.66/62.12 inference('demod', [status(thm)], 61.66/62.12 ['1015', '1016', '1017', '1018', '1019', '1020', '1021', 61.66/62.12 '1022', '1023', '1024', '1025', '1026', '1027', '1028', '1029'])). 61.66/62.12 tff('1031', plain, 61.66/62.12 (h1(op1(e10, e11)) != op2(h1(e10), h1(e11)) 61.66/62.12 | op2(h1(e10), e20) != h1(op1(e10, e12)) 61.66/62.12 | op2(h1(e11), h1(e10)) != h1(op1(e11, e10)) 61.66/62.12 | h1(op1(e11, e12)) != op2(h1(e11), e20) 61.66/62.12 | h1(op1(e11, e13)) != op2(h1(e11), h1(e13)) 61.66/62.12 | h1(op1(e13, e12)) != op2(h1(e13), e20) 61.66/62.12 | h1(op1(e13, e13)) != op2(h1(e13), h1(e13)) 61.66/62.12 | e23 != h1(e11) 61.66/62.12 | h1(e11) != e22 61.66/62.12 | h1(e10) != e21 61.66/62.12 | e20 != h1(e10) 61.66/62.12 | op2(h1(e13), h1(e11)) != h1(op1(e13, e11)) 61.66/62.12 | h1(op1(e13, e10)) != op2(h1(e13), h1(e10)) 61.66/62.12 | op2(e20, h1(e13)) != h1(op1(e12, e13)) 61.66/62.12 | op2(e20, h1(e10)) != h1(op1(e12, e10)) 61.66/62.12 | op2(h1(e10), h1(e13)) != h1(op1(e10, e13)) 61.66/62.12 | h1(op1(e10, e10)) != op2(h1(e10), h1(e10))), 61.66/62.12 inference('simplify', [status(thm)], ['1030'])). 61.66/62.12 tff('1032', plain, 61.66/62.12 (op2(e20, h1(e10)) != h1(op1(e12, e10))) 61.66/62.12 <= (~ (op2(e20, h1(e10)) = h1(op1(e12, e10)))), 61.66/62.12 inference('split', [status(esa)], ['1031'])). 61.66/62.12 tff('1033', plain, 61.66/62.12 (op2(e20, h1(e10)) != h1(e10)) 61.66/62.12 <= (~ (op2(e20, h1(e10)) = h1(op1(e12, e10))) & (e10 = op1(e12, e10))), 61.66/62.12 inference('s_sup-', [status(thm)], ['1014', '1032'])). 61.66/62.12 tff('1034', plain, 61.66/62.12 (op2(e20, h4(e11)) != h4(e11)) 61.66/62.12 <= (~ (op2(e20, h1(e10)) = h1(op1(e12, e10))) & 61.66/62.12 (e10 = op1(e12, e10)) & 61.66/62.12 (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1013', '1033'])). 61.66/62.12 tff('1035', plain, 61.66/62.12 (op2(e20, e21) != e21) 61.66/62.12 <= (~ (op2(e20, h1(e10)) = h1(op1(e12, e10))) & 61.66/62.12 (e21 = h4(e11)) & 61.66/62.12 (e10 = op1(e12, e10)) & 61.66/62.12 (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1012', '1034'])). 61.66/62.12 tff('1036', plain, 61.66/62.12 (e21 != e21) 61.66/62.12 <= (~ (op2(e20, h1(e10)) = h1(op1(e12, e10))) & 61.66/62.12 (op2(e20, e21) = e21) & 61.66/62.12 (e21 = h4(e11)) & 61.66/62.12 (e10 = op1(e12, e10)) & 61.66/62.12 (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1011', '1035'])). 61.66/62.12 tff('1037', plain, 61.66/62.12 (op2(e20, h1(e10)) = h1(op1(e12, e10))) | ~ (e10 = op1(e12, e10)) | 61.66/62.12 ~ (op2(e20, e20) = e23) | ~ (op2(e20, e21) = e21) | ~ (e21 = h4(e11)), 61.66/62.12 inference('simplify', [status(thm)], ['1036'])). 61.66/62.12 tff('1038', plain, (op2(e21, e23) = e23) <= ((op2(e21, e23) = e23)), 61.66/62.12 inference('split', [status(esa)], ['684'])). 61.66/62.12 tff('1039', plain, (h4(e11) = e21) <= ((e21 = h4(e11))), 61.66/62.12 inference('split', [status(esa)], ['110'])). 61.66/62.12 tff('1040', plain, (h1(e10) = h4(e11)) <= ((op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup+', [status(thm)], ['1003', '1004'])). 61.66/62.12 tff('1041', plain, (e11 = op1(e10, e11)) <= ((e11 = op1(e10, e11))), 61.66/62.12 inference('split', [status(esa)], ['297'])). 61.66/62.12 tff('1042', plain, 61.66/62.12 (h1(op1(e10, e10)) != op2(h1(e10), h1(e10)) 61.66/62.12 | op2(h1(e10), h1(e13)) != h1(op1(e10, e13)) 61.66/62.12 | h1(op1(e11, e11)) != op2(h1(e11), h1(e11)) 61.66/62.12 | op2(h1(e12), h1(e10)) != h1(op1(e12, e10)) 61.66/62.12 | op2(h1(e12), h1(e11)) != h1(op1(e12, e11)) 61.66/62.12 | op2(h1(e12), h1(e12)) != h1(op1(e12, e12)) 61.66/62.12 | op2(h1(e12), h1(e13)) != h1(op1(e12, e13)) 61.66/62.12 | h1(op1(e13, e10)) != op2(h1(e13), h1(e10)) 61.66/62.12 | op2(h1(e13), h1(e11)) != h1(op1(e13, e11)) 61.66/62.12 | e20 != h1(e10) 61.66/62.12 | h1(e10) != e21 61.66/62.12 | h1(e11) != e22 61.66/62.12 | e23 != h1(e13) 61.66/62.12 | h1(op1(e13, e13)) != op2(h1(e13), h1(e13)) 61.66/62.12 | h1(op1(e13, e12)) != op2(h1(e13), h1(e12)) 61.66/62.12 | h1(op1(e11, e13)) != op2(h1(e11), h1(e13)) 61.66/62.12 | h1(op1(e11, e12)) != op2(h1(e11), h1(e12)) 61.66/62.12 | op2(h1(e11), h1(e10)) != h1(op1(e11, e10)) 61.66/62.12 | op2(h1(e10), h1(e12)) != h1(op1(e10, e12)) 61.66/62.12 | h1(op1(e10, e11)) != op2(h1(e10), h1(e11))), 61.66/62.12 inference('cnf', [status(esa)], [zf_stmt_5])). 61.66/62.12 tff('1043', plain, e10 = op1(e11, e11), 61.66/62.12 inference('demod', [status(thm)], ['4', '5', '6'])). 61.66/62.12 tff('1044', plain, h1(e10) = op2(h1(e11), h1(e11)), 61.66/62.12 inference('demod', [status(thm)], ['929', '930', '931'])). 61.66/62.12 tff('1045', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('1046', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('1047', plain, h1(e13) = op2(e20, h1(e11)), 61.66/62.12 inference('demod', [status(thm)], ['52', '53'])). 61.66/62.12 tff('1048', plain, op1(e12, e11) = e13, 61.66/62.12 inference('demod', [status(thm)], ['10', '11'])). 61.66/62.12 tff('1049', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('1050', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('1051', plain, h1(e11) = op2(e20, e20), 61.66/62.12 inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('1052', plain, e11 = op1(e12, e12), 61.66/62.12 inference('cnf', [status(esa)], [ax12])). 61.66/62.12 tff('1053', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('1054', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('1055', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('1056', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('1057', plain, 61.66/62.12 (h1(op1(e10, e10)) != op2(h1(e10), h1(e10)) 61.66/62.12 | op2(h1(e10), h1(e13)) != h1(op1(e10, e13)) 61.66/62.12 | h1(e10) != h1(e10) 61.66/62.12 | op2(e20, h1(e10)) != h1(op1(e12, e10)) 61.66/62.12 | h1(e13) != h1(e13) 61.66/62.12 | h1(e11) != h1(e11) 61.66/62.12 | op2(e20, h1(e13)) != h1(op1(e12, e13)) 61.66/62.12 | h1(op1(e13, e10)) != op2(h1(e13), h1(e10)) 61.66/62.12 | op2(h1(e13), h1(e11)) != h1(op1(e13, e11)) 61.66/62.12 | e20 != h1(e10) 61.66/62.12 | h1(e10) != e21 61.66/62.12 | h1(e11) != e22 61.66/62.12 | e23 != h1(e13) 61.66/62.12 | h1(op1(e13, e13)) != op2(h1(e13), h1(e13)) 61.66/62.12 | h1(op1(e13, e12)) != op2(h1(e13), e20) 61.66/62.12 | h1(op1(e11, e13)) != op2(h1(e11), h1(e13)) 61.66/62.12 | h1(op1(e11, e12)) != op2(h1(e11), e20) 61.66/62.12 | op2(h1(e11), h1(e10)) != h1(op1(e11, e10)) 61.66/62.12 | op2(h1(e10), e20) != h1(op1(e10, e12)) 61.66/62.12 | h1(op1(e10, e11)) != op2(h1(e10), h1(e11))), 61.66/62.12 inference('demod', [status(thm)], 61.66/62.12 ['1042', '1043', '1044', '1045', '1046', '1047', '1048', 61.66/62.12 '1049', '1050', '1051', '1052', '1053', '1054', '1055', '1056'])). 61.66/62.12 tff('1058', plain, 61.66/62.12 (h1(op1(e10, e11)) != op2(h1(e10), h1(e11)) 61.66/62.12 | op2(h1(e10), e20) != h1(op1(e10, e12)) 61.66/62.12 | op2(h1(e11), h1(e10)) != h1(op1(e11, e10)) 61.66/62.12 | h1(op1(e11, e12)) != op2(h1(e11), e20) 61.66/62.12 | h1(op1(e11, e13)) != op2(h1(e11), h1(e13)) 61.66/62.12 | h1(op1(e13, e12)) != op2(h1(e13), e20) 61.66/62.12 | h1(op1(e13, e13)) != op2(h1(e13), h1(e13)) 61.66/62.12 | e23 != h1(e13) 61.66/62.12 | h1(e11) != e22 61.66/62.12 | h1(e10) != e21 61.66/62.12 | e20 != h1(e10) 61.66/62.12 | op2(h1(e13), h1(e11)) != h1(op1(e13, e11)) 61.66/62.12 | h1(op1(e13, e10)) != op2(h1(e13), h1(e10)) 61.66/62.12 | op2(e20, h1(e13)) != h1(op1(e12, e13)) 61.66/62.12 | op2(e20, h1(e10)) != h1(op1(e12, e10)) 61.66/62.12 | op2(h1(e10), h1(e13)) != h1(op1(e10, e13)) 61.66/62.12 | h1(op1(e10, e10)) != op2(h1(e10), h1(e10))), 61.66/62.12 inference('simplify', [status(thm)], ['1057'])). 61.66/62.12 tff('1059', plain, 61.66/62.12 (h1(op1(e10, e11)) != op2(h1(e10), h1(e11))) 61.66/62.12 <= (~ (h1(op1(e10, e11)) = op2(h1(e10), h1(e11)))), 61.66/62.12 inference('split', [status(esa)], ['1058'])). 61.66/62.12 tff('1060', plain, 61.66/62.12 (h1(e11) != op2(h1(e10), h1(e11))) 61.66/62.12 <= (~ (h1(op1(e10, e11)) = op2(h1(e10), h1(e11))) & 61.66/62.12 (e11 = op1(e10, e11))), 61.66/62.12 inference('s_sup-', [status(thm)], ['1041', '1059'])). 61.66/62.12 tff('1061', plain, 61.66/62.12 (h1(e11) != op2(h4(e11), h1(e11))) 61.66/62.12 <= (~ (h1(op1(e10, e11)) = op2(h1(e10), h1(e11))) & 61.66/62.12 (e11 = op1(e10, e11)) & 61.66/62.12 (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1040', '1060'])). 61.66/62.12 tff('1062', plain, (h1(e11) = e23) <= ((op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup+', [status(thm)], ['989', '990'])). 61.66/62.12 tff('1063', plain, (h1(e11) = e23) <= ((op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup+', [status(thm)], ['989', '990'])). 61.66/62.12 tff('1064', plain, 61.66/62.12 (e23 != op2(h4(e11), e23)) 61.66/62.12 <= (~ (h1(op1(e10, e11)) = op2(h1(e10), h1(e11))) & 61.66/62.12 (e11 = op1(e10, e11)) & 61.66/62.12 (op2(e20, e20) = e23)), 61.66/62.12 inference('demod', [status(thm)], ['1061', '1062', '1063'])). 61.66/62.12 tff('1065', plain, 61.66/62.12 (e23 != op2(e21, e23)) 61.66/62.12 <= (~ (h1(op1(e10, e11)) = op2(h1(e10), h1(e11))) & 61.66/62.12 (e11 = op1(e10, e11)) & 61.66/62.12 (e21 = h4(e11)) & 61.66/62.12 (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1039', '1064'])). 61.66/62.12 tff('1066', plain, 61.66/62.12 (e23 != e23) 61.66/62.12 <= (~ (h1(op1(e10, e11)) = op2(h1(e10), h1(e11))) & 61.66/62.12 (e11 = op1(e10, e11)) & 61.66/62.12 (op2(e21, e23) = e23) & 61.66/62.12 (e21 = h4(e11)) & 61.66/62.12 (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1038', '1065'])). 61.66/62.12 tff('1067', plain, 61.66/62.12 (h1(op1(e10, e11)) = op2(h1(e10), h1(e11))) | ~ (e11 = op1(e10, e11)) | 61.66/62.12 ~ (e21 = h4(e11)) | ~ (op2(e20, e20) = e23) | ~ (op2(e21, e23) = e23), 61.66/62.12 inference('simplify', [status(thm)], ['1066'])). 61.66/62.12 tff('1068', plain, (e21 = h2(e13)) <= ((e21 = op2(e21, e20))), 61.66/62.12 inference('s_sup+', [status(thm)], ['691', '692'])). 61.66/62.12 tff('1069', plain, (h4(e11) = e21) <= ((e21 = h4(e11))), 61.66/62.12 inference('split', [status(esa)], ['110'])). 61.66/62.12 tff('1070', plain, (h1(e10) = h4(e11)) <= ((op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup+', [status(thm)], ['1003', '1004'])). 61.66/62.12 tff('1071', plain, (e10 = op1(e10, e12)) <= ((e10 = op1(e10, e12))), 61.66/62.12 inference('split', [status(esa)], ['215'])). 61.66/62.12 tff('1072', plain, 61.66/62.12 (op2(h1(e10), e20) != h1(op1(e10, e12))) 61.66/62.12 <= (~ (op2(h1(e10), e20) = h1(op1(e10, e12)))), 61.66/62.12 inference('split', [status(esa)], ['974'])). 61.66/62.12 tff('1073', plain, 61.66/62.12 (op2(h1(e10), e20) != h1(e10)) 61.66/62.12 <= (~ (op2(h1(e10), e20) = h1(op1(e10, e12))) & (e10 = op1(e10, e12))), 61.66/62.12 inference('s_sup-', [status(thm)], ['1071', '1072'])). 61.66/62.12 tff('1074', plain, 61.66/62.12 (op2(h4(e11), e20) != h4(e11)) 61.66/62.12 <= (~ (op2(h1(e10), e20) = h1(op1(e10, e12))) & 61.66/62.12 (e10 = op1(e10, e12)) & 61.66/62.12 (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1070', '1073'])). 61.66/62.12 tff('1075', plain, 61.66/62.12 (op2(e21, e20) != e21) 61.66/62.12 <= (~ (op2(h1(e10), e20) = h1(op1(e10, e12))) & 61.66/62.12 (e10 = op1(e10, e12)) & 61.66/62.12 (e21 = h4(e11)) & 61.66/62.12 (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1069', '1074'])). 61.66/62.12 tff('1076', plain, op2(e21, e20) = h2(e13), 61.66/62.12 inference('demod', [status(thm)], ['149', '155'])). 61.66/62.12 tff('1077', plain, 61.66/62.12 (h2(e13) != e21) 61.66/62.12 <= (~ (op2(h1(e10), e20) = h1(op1(e10, e12))) & 61.66/62.12 (e10 = op1(e10, e12)) & 61.66/62.12 (e21 = h4(e11)) & 61.66/62.12 (op2(e20, e20) = e23)), 61.66/62.12 inference('demod', [status(thm)], ['1075', '1076'])). 61.66/62.12 tff('1078', plain, 61.66/62.12 (e21 != e21) 61.66/62.12 <= (~ (op2(h1(e10), e20) = h1(op1(e10, e12))) & 61.66/62.12 (e10 = op1(e10, e12)) & 61.66/62.12 (e21 = op2(e21, e20)) & 61.66/62.12 (e21 = h4(e11)) & 61.66/62.12 (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1068', '1077'])). 61.66/62.12 tff('1079', plain, 61.66/62.12 (op2(h1(e10), e20) = h1(op1(e10, e12))) | ~ (op2(e20, e20) = e23) | 61.66/62.12 ~ (e21 = op2(e21, e20)) | ~ (e10 = op1(e10, e12)) | ~ (e21 = h4(e11)), 61.66/62.12 inference('simplify', [status(thm)], ['1078'])). 61.66/62.12 tff('1080', plain, (e21 = h4(e11)) <= ((op2(e23, e23) = e21)), 61.66/62.12 inference('s_sup+', [status(thm)], ['622', '623'])). 61.66/62.12 tff('1081', plain, 61.66/62.12 (e22 = h1(e13)) <= ((e22 = op2(e20, e23)) & (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup+', [status(thm)], ['993', '994'])). 61.66/62.12 tff(zf_stmt_15, axiom, 61.66/62.12 (zip_tseitin_19 => 61.66/62.12 ((e10 = op1(e13,e13)) & ((e10 != op1(e11,e11)) | (op1(e11,e10) = e11)) & 61.66/62.12 ((e10 != op1(e12,e12)) | (e12 = op1(e12,e10))) & 61.66/62.12 ((op1(e13,e10) = e13) | (e10 != op1(e13,e13))) & 61.66/62.12 ((e10 != op1(e10,e10)) | (e10 = op1(e10,e10)))))). 61.66/62.12 tff('1082', plain, (e10 = op1(e13, e13) | ~ zip_tseitin_19), 61.66/62.12 inference('cnf', [status(esa)], [zf_stmt_15])). 61.66/62.12 tff('1083', plain, (e10 = op1(e13, e13)) <= ((op1(e13, e13) = e10)), 61.66/62.12 inference('split', [status(esa)], ['1082'])). 61.66/62.12 tff('1084', plain, 61.66/62.12 (h1(op1(e13, e13)) != op2(h1(e13), h1(e13))) 61.66/62.12 <= (~ (h1(op1(e13, e13)) = op2(h1(e13), h1(e13)))), 61.66/62.12 inference('split', [status(esa)], ['974'])). 61.66/62.12 tff('1085', plain, 61.66/62.12 (h1(e10) != op2(h1(e13), h1(e13))) 61.66/62.12 <= (~ (h1(op1(e13, e13)) = op2(h1(e13), h1(e13))) & 61.66/62.12 (op1(e13, e13) = e10)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1083', '1084'])). 61.66/62.12 tff('1086', plain, 61.66/62.12 (h1(e10) != op2(e22, e22)) 61.66/62.12 <= (~ (h1(op1(e13, e13)) = op2(h1(e13), h1(e13))) & 61.66/62.12 (op1(e13, e13) = e10) & 61.66/62.12 (e22 = op2(e20, e23)) & 61.66/62.12 (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1081', '1085'])). 61.66/62.12 tff('1087', plain, (h1(e10) = h4(e11)) <= ((op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup+', [status(thm)], ['1003', '1004'])). 61.66/62.12 tff('1088', plain, e21 = op2(e22, e22), 61.66/62.12 inference('cnf', [status(esa)], [ax13])). 61.66/62.12 tff('1089', plain, 61.66/62.12 (h4(e11) != e21) 61.66/62.12 <= (~ (h1(op1(e13, e13)) = op2(h1(e13), h1(e13))) & 61.66/62.12 (op1(e13, e13) = e10) & 61.66/62.12 (e22 = op2(e20, e23)) & 61.66/62.12 (op2(e20, e20) = e23)), 61.66/62.12 inference('demod', [status(thm)], ['1086', '1087', '1088'])). 61.66/62.12 tff('1090', plain, 61.66/62.12 (e21 != e21) 61.66/62.12 <= (~ (h1(op1(e13, e13)) = op2(h1(e13), h1(e13))) & 61.66/62.12 (op1(e13, e13) = e10) & 61.66/62.12 (op2(e23, e23) = e21) & 61.66/62.12 (e22 = op2(e20, e23)) & 61.66/62.12 (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1080', '1089'])). 61.66/62.12 tff('1091', plain, 61.66/62.12 (h1(op1(e13, e13)) = op2(h1(e13), h1(e13))) | ~ (op1(e13, e13) = e10) | 61.66/62.12 ~ (op2(e20, e20) = e23) | ~ (op2(e23, e23) = e21) | 61.66/62.12 ~ (e22 = op2(e20, e23)), inference('simplify', [status(thm)], ['1090'])). 61.66/62.12 tff('1092', plain, (e22 = op2(e22, e20)) <= ((e22 = op2(e22, e20))), 61.66/62.12 inference('split', [status(esa)], ['212'])). 61.66/62.12 tff('1093', plain, 61.66/62.12 (e22 = h1(e13)) <= ((e22 = op2(e20, e23)) & (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup+', [status(thm)], ['993', '994'])). 61.66/62.12 tff('1094', plain, (e13 = op1(e13, e12)) <= ((op1(e13, e12) = e13)), 61.66/62.12 inference('split', [status(esa)], ['320'])). 61.66/62.12 tff('1095', plain, 61.66/62.12 (h1(op1(e13, e12)) != op2(h1(e13), e20)) 61.66/62.12 <= (~ (h1(op1(e13, e12)) = op2(h1(e13), e20))), 61.66/62.12 inference('split', [status(esa)], ['974'])). 61.66/62.12 tff('1096', plain, 61.66/62.12 (h1(e13) != op2(h1(e13), e20)) 61.66/62.12 <= (~ (h1(op1(e13, e12)) = op2(h1(e13), e20)) & (op1(e13, e12) = e13)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1094', '1095'])). 61.66/62.12 tff('1097', plain, 61.66/62.12 (e22 != op2(e22, e20)) 61.66/62.12 <= (~ (h1(op1(e13, e12)) = op2(h1(e13), e20)) & 61.66/62.12 (op1(e13, e12) = e13) & 61.66/62.12 (e22 = op2(e20, e23)) & 61.66/62.12 (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1093', '1096'])). 61.66/62.12 tff('1098', plain, 61.66/62.12 (e22 != e22) 61.66/62.12 <= (~ (h1(op1(e13, e12)) = op2(h1(e13), e20)) & 61.66/62.12 (op1(e13, e12) = e13) & 61.66/62.12 (e22 = op2(e22, e20)) & 61.66/62.12 (e22 = op2(e20, e23)) & 61.66/62.12 (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1092', '1097'])). 61.66/62.12 tff('1099', plain, 61.66/62.12 (h1(op1(e13, e12)) = op2(h1(e13), e20)) | ~ (op1(e13, e12) = e13) | 61.66/62.12 ~ (e22 = op2(e22, e20)) | ~ (op2(e20, e20) = e23) | 61.66/62.12 ~ (e22 = op2(e20, e23)), inference('simplify', [status(thm)], ['1098'])). 61.66/62.12 tff('1100', plain, (op2(e22, e23) = e20) <= ((op2(e22, e23) = e20)), 61.66/62.12 inference('split', [status(esa)], ['63'])). 61.66/62.12 tff('1101', plain, 61.66/62.12 (e22 = h1(e13)) <= ((e22 = op2(e20, e23)) & (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup+', [status(thm)], ['993', '994'])). 61.66/62.12 tff('1102', plain, (op1(e13, e11) = e12) <= ((op1(e13, e11) = e12)), 61.66/62.12 inference('split', [status(esa)], ['175'])). 61.66/62.12 tff('1103', plain, 61.66/62.12 (op2(h1(e13), h1(e11)) != h1(op1(e13, e11))) 61.66/62.12 <= (~ (op2(h1(e13), h1(e11)) = h1(op1(e13, e11)))), 61.66/62.12 inference('split', [status(esa)], ['974'])). 61.66/62.12 tff('1104', plain, 61.66/62.12 (op2(h1(e13), h1(e11)) != h1(e12)) 61.66/62.12 <= (~ (op2(h1(e13), h1(e11)) = h1(op1(e13, e11))) & 61.66/62.12 (op1(e13, e11) = e12)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1102', '1103'])). 61.66/62.12 tff('1105', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('1106', plain, 61.66/62.12 (op2(h1(e13), h1(e11)) != e20) 61.66/62.12 <= (~ (op2(h1(e13), h1(e11)) = h1(op1(e13, e11))) & 61.66/62.12 (op1(e13, e11) = e12)), 61.66/62.12 inference('demod', [status(thm)], ['1104', '1105'])). 61.66/62.12 tff('1107', plain, 61.66/62.12 (op2(e22, h1(e11)) != e20) 61.66/62.12 <= (~ (op2(h1(e13), h1(e11)) = h1(op1(e13, e11))) & 61.66/62.12 (e22 = op2(e20, e23)) & 61.66/62.12 (op1(e13, e11) = e12) & 61.66/62.12 (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1101', '1106'])). 61.66/62.12 tff('1108', plain, (h1(e11) = e23) <= ((op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup+', [status(thm)], ['989', '990'])). 61.66/62.12 tff('1109', plain, 61.66/62.12 (op2(e22, e23) != e20) 61.66/62.12 <= (~ (op2(h1(e13), h1(e11)) = h1(op1(e13, e11))) & 61.66/62.12 (e22 = op2(e20, e23)) & 61.66/62.12 (op1(e13, e11) = e12) & 61.66/62.12 (op2(e20, e20) = e23)), 61.66/62.12 inference('demod', [status(thm)], ['1107', '1108'])). 61.66/62.12 tff('1110', plain, 61.66/62.12 (e20 != e20) 61.66/62.12 <= (~ (op2(h1(e13), h1(e11)) = h1(op1(e13, e11))) & 61.66/62.12 (op2(e22, e23) = e20) & 61.66/62.12 (e22 = op2(e20, e23)) & 61.66/62.12 (op1(e13, e11) = e12) & 61.66/62.12 (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1100', '1109'])). 61.66/62.12 tff('1111', plain, 61.66/62.12 (op2(h1(e13), h1(e11)) = h1(op1(e13, e11))) | ~ (op1(e13, e11) = e12) | 61.66/62.12 ~ (op2(e20, e20) = e23) | ~ (op2(e22, e23) = e20) | 61.66/62.12 ~ (e22 = op2(e20, e23)), inference('simplify', [status(thm)], ['1110'])). 61.66/62.12 tff('1112', plain, (op2(e23, e20) = e20) <= ((op2(e23, e20) = e20)), 61.66/62.12 inference('split', [status(esa)], ['294'])). 61.66/62.12 tff('1113', plain, (h1(e11) = e23) <= ((op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup+', [status(thm)], ['989', '990'])). 61.66/62.12 tff('1114', plain, (op1(e11, e12) = e12) <= ((op1(e11, e12) = e12)), 61.66/62.12 inference('split', [status(esa)], ['112'])). 61.66/62.12 tff('1115', plain, 61.66/62.12 (h1(op1(e11, e12)) != op2(h1(e11), e20)) 61.66/62.12 <= (~ (h1(op1(e11, e12)) = op2(h1(e11), e20))), 61.66/62.12 inference('split', [status(esa)], ['974'])). 61.66/62.12 tff('1116', plain, 61.66/62.12 (h1(e12) != op2(h1(e11), e20)) 61.66/62.12 <= (~ (h1(op1(e11, e12)) = op2(h1(e11), e20)) & (op1(e11, e12) = e12)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1114', '1115'])). 61.66/62.12 tff('1117', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('1118', plain, 61.66/62.12 (e20 != op2(h1(e11), e20)) 61.66/62.12 <= (~ (h1(op1(e11, e12)) = op2(h1(e11), e20)) & (op1(e11, e12) = e12)), 61.66/62.12 inference('demod', [status(thm)], ['1116', '1117'])). 61.66/62.12 tff('1119', plain, 61.66/62.12 (e20 != op2(e23, e20)) 61.66/62.12 <= (~ (h1(op1(e11, e12)) = op2(h1(e11), e20)) & 61.66/62.12 (op1(e11, e12) = e12) & 61.66/62.12 (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1113', '1118'])). 61.66/62.12 tff('1120', plain, 61.66/62.12 (e20 != e20) 61.66/62.12 <= (~ (h1(op1(e11, e12)) = op2(h1(e11), e20)) & 61.66/62.12 (op2(e23, e20) = e20) & 61.66/62.12 (op1(e11, e12) = e12) & 61.66/62.12 (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1112', '1119'])). 61.66/62.12 tff('1121', plain, 61.66/62.12 (h1(op1(e11, e12)) = op2(h1(e11), e20)) | ~ (op1(e11, e12) = e12) | 61.66/62.12 ~ (op2(e20, e20) = e23) | ~ (op2(e23, e20) = e20), 61.66/62.12 inference('simplify', [status(thm)], ['1120'])). 61.66/62.12 tff('1122', plain, (h4(e10) = e20) <= ((e21 = h4(e11))), 61.66/62.12 inference('s_sup+', [status(thm)], ['592', '593'])). 61.66/62.12 tff('1123', plain, (h1(e10) = h4(e11)) <= ((op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup+', [status(thm)], ['1003', '1004'])). 61.66/62.12 tff('1124', plain, (op1(e10, e10) = e12) <= ((e12 = op1(e10, e10))), 61.66/62.12 inference('split', [status(esa)], ['230'])). 61.66/62.12 tff('1125', plain, 61.66/62.12 (h1(op1(e10, e10)) != op2(h1(e10), h1(e10))) 61.66/62.12 <= (~ (h1(op1(e10, e10)) = op2(h1(e10), h1(e10)))), 61.66/62.12 inference('split', [status(esa)], ['974'])). 61.66/62.12 tff('1126', plain, 61.66/62.12 (h1(e12) != op2(h1(e10), h1(e10))) 61.66/62.12 <= (~ (h1(op1(e10, e10)) = op2(h1(e10), h1(e10))) & 61.66/62.12 (e12 = op1(e10, e10))), 61.66/62.12 inference('s_sup-', [status(thm)], ['1124', '1125'])). 61.66/62.12 tff('1127', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('1128', plain, 61.66/62.12 (e20 != op2(h1(e10), h1(e10))) 61.66/62.12 <= (~ (h1(op1(e10, e10)) = op2(h1(e10), h1(e10))) & 61.66/62.12 (e12 = op1(e10, e10))), 61.66/62.12 inference('demod', [status(thm)], ['1126', '1127'])). 61.66/62.12 tff('1129', plain, 61.66/62.12 (e20 != op2(h4(e11), h4(e11))) 61.66/62.12 <= (~ (h1(op1(e10, e10)) = op2(h1(e10), h1(e10))) & 61.66/62.12 (e12 = op1(e10, e10)) & 61.66/62.12 (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1123', '1128'])). 61.66/62.12 tff('1130', plain, op2(h4(e11), h4(e11)) = h4(e10), 61.66/62.12 inference('demod', [status(thm)], ['72', '73', '74'])). 61.66/62.12 tff('1131', plain, 61.66/62.12 (e20 != h4(e10)) 61.66/62.12 <= (~ (h1(op1(e10, e10)) = op2(h1(e10), h1(e10))) & 61.66/62.12 (e12 = op1(e10, e10)) & 61.66/62.12 (op2(e20, e20) = e23)), 61.66/62.12 inference('demod', [status(thm)], ['1129', '1130'])). 61.66/62.12 tff('1132', plain, 61.66/62.12 (e20 != e20) 61.66/62.12 <= (~ (h1(op1(e10, e10)) = op2(h1(e10), h1(e10))) & 61.66/62.12 (e12 = op1(e10, e10)) & 61.66/62.12 (e21 = h4(e11)) & 61.66/62.12 (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1122', '1131'])). 61.66/62.12 tff('1133', plain, 61.66/62.12 (h1(op1(e10, e10)) = op2(h1(e10), h1(e10))) | ~ (e12 = op1(e10, e10)) | 61.66/62.12 ~ (op2(e20, e20) = e23) | ~ (e21 = h4(e11)), 61.66/62.12 inference('simplify', [status(thm)], ['1132'])). 61.66/62.12 tff('1134', plain, 61.66/62.12 (h4(e13) = e22) <= ((e21 = h4(e11)) & (op2(e23, e21) = e22)), 61.66/62.12 inference('s_sup+', [status(thm)], ['585', '586'])). 61.66/62.12 tff('1135', plain, 61.66/62.12 (e22 = h1(e13)) <= ((e22 = op2(e20, e23)) & (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup+', [status(thm)], ['993', '994'])). 61.66/62.12 tff('1136', plain, (h1(e11) = e23) <= ((op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup+', [status(thm)], ['989', '990'])). 61.66/62.12 tff('1137', plain, (e13 = op1(e11, e10)) <= ((e13 = op1(e11, e10))), 61.66/62.12 inference('split', [status(esa)], ['758'])). 61.66/62.12 tff('1138', plain, 61.66/62.12 (op2(h1(e11), h1(e10)) != h1(op1(e11, e10))) 61.66/62.12 <= (~ (op2(h1(e11), h1(e10)) = h1(op1(e11, e10)))), 61.66/62.12 inference('split', [status(esa)], ['974'])). 61.66/62.12 tff('1139', plain, 61.66/62.12 (op2(h1(e11), h1(e10)) != h1(e13)) 61.66/62.12 <= (~ (op2(h1(e11), h1(e10)) = h1(op1(e11, e10))) & 61.66/62.12 (e13 = op1(e11, e10))), 61.66/62.12 inference('s_sup-', [status(thm)], ['1137', '1138'])). 61.66/62.12 tff('1140', plain, 61.66/62.12 (op2(e23, h1(e10)) != h1(e13)) 61.66/62.12 <= (~ (op2(h1(e11), h1(e10)) = h1(op1(e11, e10))) & 61.66/62.12 (e13 = op1(e11, e10)) & 61.66/62.12 (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1136', '1139'])). 61.66/62.12 tff('1141', plain, (h1(e10) = h4(e11)) <= ((op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup+', [status(thm)], ['1003', '1004'])). 61.66/62.12 tff('1142', plain, h4(e13) = op2(e23, h4(e11)), 61.66/62.12 inference('demod', [status(thm)], ['84', '85'])). 61.66/62.12 tff('1143', plain, 61.66/62.12 (h4(e13) != h1(e13)) 61.66/62.12 <= (~ (op2(h1(e11), h1(e10)) = h1(op1(e11, e10))) & 61.66/62.12 (e13 = op1(e11, e10)) & 61.66/62.12 (op2(e20, e20) = e23)), 61.66/62.12 inference('demod', [status(thm)], ['1140', '1141', '1142'])). 61.66/62.12 tff('1144', plain, 61.66/62.12 (h4(e13) != e22) 61.66/62.12 <= (~ (op2(h1(e11), h1(e10)) = h1(op1(e11, e10))) & 61.66/62.12 (e22 = op2(e20, e23)) & 61.66/62.12 (e13 = op1(e11, e10)) & 61.66/62.12 (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1135', '1143'])). 61.66/62.12 tff('1145', plain, 61.66/62.12 (e22 != e22) 61.66/62.12 <= (~ (op2(h1(e11), h1(e10)) = h1(op1(e11, e10))) & 61.66/62.12 (e21 = h4(e11)) & 61.66/62.12 (op2(e23, e21) = e22) & 61.66/62.12 (e22 = op2(e20, e23)) & 61.66/62.12 (e13 = op1(e11, e10)) & 61.66/62.12 (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1134', '1144'])). 61.66/62.12 tff('1146', plain, 61.66/62.12 (op2(h1(e11), h1(e10)) = h1(op1(e11, e10))) | ~ (e13 = op1(e11, e10)) | 61.66/62.12 ~ (op2(e20, e20) = e23) | ~ (op2(e23, e21) = e22) | ~ (e21 = h4(e11)) | 61.66/62.12 ~ (e22 = op2(e20, e23)), inference('simplify', [status(thm)], ['1145'])). 61.66/62.12 tff('1147', plain, (op2(e20, e22) = e20) <= ((op2(e20, e22) = e20)), 61.66/62.12 inference('split', [status(esa)], ['60'])). 61.66/62.12 tff('1148', plain, 61.66/62.12 (e22 = h1(e13)) <= ((e22 = op2(e20, e23)) & (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup+', [status(thm)], ['993', '994'])). 61.66/62.12 tff('1149', plain, (op1(e12, e13) = e12) <= ((op1(e12, e13) = e12)), 61.66/62.12 inference('split', [status(esa)], ['27'])). 61.66/62.12 tff('1150', plain, 61.66/62.12 (op2(e20, h1(e13)) != h1(op1(e12, e13))) 61.66/62.12 <= (~ (op2(e20, h1(e13)) = h1(op1(e12, e13)))), 61.66/62.12 inference('split', [status(esa)], ['974'])). 61.66/62.12 tff('1151', plain, 61.66/62.12 (op2(e20, h1(e13)) != h1(e12)) 61.66/62.12 <= (~ (op2(e20, h1(e13)) = h1(op1(e12, e13))) & (op1(e12, e13) = e12)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1149', '1150'])). 61.66/62.12 tff('1152', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('1153', plain, 61.66/62.12 (op2(e20, h1(e13)) != e20) 61.66/62.12 <= (~ (op2(e20, h1(e13)) = h1(op1(e12, e13))) & (op1(e12, e13) = e12)), 61.66/62.12 inference('demod', [status(thm)], ['1151', '1152'])). 61.66/62.12 tff('1154', plain, 61.66/62.12 (op2(e20, e22) != e20) 61.66/62.12 <= (~ (op2(e20, h1(e13)) = h1(op1(e12, e13))) & 61.66/62.12 (op1(e12, e13) = e12) & 61.66/62.12 (e22 = op2(e20, e23)) & 61.66/62.12 (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1148', '1153'])). 61.66/62.12 tff('1155', plain, 61.66/62.12 (e20 != e20) 61.66/62.12 <= (~ (op2(e20, h1(e13)) = h1(op1(e12, e13))) & 61.66/62.12 (op1(e12, e13) = e12) & 61.66/62.12 (op2(e20, e22) = e20) & 61.66/62.12 (e22 = op2(e20, e23)) & 61.66/62.12 (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1147', '1154'])). 61.66/62.12 tff('1156', plain, 61.66/62.12 (op2(e20, h1(e13)) = h1(op1(e12, e13))) | ~ (op1(e12, e13) = e12) | 61.66/62.12 ~ (e22 = op2(e20, e23)) | ~ (op2(e20, e20) = e23) | 61.66/62.12 ~ (op2(e20, e22) = e20), inference('simplify', [status(thm)], ['1155'])). 61.66/62.12 tff('1157', plain, (h1(e11) = e23) <= ((op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup+', [status(thm)], ['989', '990'])). 61.66/62.12 tff('1158', plain, (e23 = op2(e23, e20)) <= ((e23 = op2(e23, e20))), 61.66/62.12 inference('split', [status(esa)], ['145'])). 61.66/62.12 tff('1159', plain, op2(e23, e20) != op2(e20, e20), 61.66/62.12 inference('cnf', [status(esa)], [ax6])). 61.66/62.12 tff('1160', plain, h1(e11) = op2(e20, e20), 61.66/62.12 inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('1161', plain, op2(e23, e20) != h1(e11), 61.66/62.12 inference('demod', [status(thm)], ['1159', '1160'])). 61.66/62.12 tff('1162', plain, (e23 != h1(e11)) <= ((e23 = op2(e23, e20))), 61.66/62.12 inference('s_sup-', [status(thm)], ['1158', '1161'])). 61.66/62.12 tff('1163', plain, 61.66/62.12 (e23 != e23) <= ((e23 = op2(e23, e20)) & (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1157', '1162'])). 61.66/62.12 tff('1164', plain, ~ (e23 = op2(e23, e20)) | ~ (op2(e20, e20) = e23), 61.66/62.12 inference('simplify', [status(thm)], ['1163'])). 61.66/62.12 tff('1165', plain, (h1(e11) = e23) <= ((op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup+', [status(thm)], ['989', '990'])). 61.66/62.12 tff(zf_stmt_16, axiom, 61.66/62.12 (zip_tseitin_32 => 61.66/62.12 ((e20 = op2(e20,e20)) & ((op2(e20,e20) != e20) | (e20 != op2(e20,e20))) & 61.66/62.12 ((op2(e20,e20) != e22) | (op2(e20,e22) != e20)) & 61.66/62.12 ((e23 != op2(e20,e20)) | (op2(e20,e23) != e20)) & 61.66/62.12 ((op2(e20,e20) != e21) | (op2(e20,e21) != e20)) & (e20 = op2(e20,e20))))). 61.66/62.12 tff('1166', plain, 61.66/62.12 (op2(e20, e23) != e20 | e23 != op2(e20, e20) | ~ zip_tseitin_32), 61.66/62.12 inference('cnf', [status(esa)], [zf_stmt_16])). 61.66/62.12 tff('1167', plain, h1(e11) = op2(e20, e20), 61.66/62.12 inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('1168', plain, 61.66/62.12 (op2(e20, e23) != e20 | e23 != h1(e11) | ~ zip_tseitin_32), 61.66/62.12 inference('demod', [status(thm)], ['1166', '1167'])). 61.66/62.12 tff('1169', plain, (e23 != h1(e11)) <= (~ (e23 = h1(e11))), 61.66/62.12 inference('split', [status(esa)], ['1168'])). 61.66/62.12 tff('1170', plain, 61.66/62.12 (e23 != e23) <= (~ (e23 = h1(e11)) & (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1165', '1169'])). 61.66/62.12 tff('1171', plain, (e23 = h1(e11)) | ~ (op2(e20, e20) = e23), 61.66/62.12 inference('simplify', [status(thm)], ['1170'])). 61.66/62.12 tff('1172', plain, 61.66/62.12 (e22 = h1(e13)) <= ((e22 = op2(e20, e23)) & (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup+', [status(thm)], ['993', '994'])). 61.66/62.12 tff('1173', plain, 61.66/62.12 (h1(op1(e10, e10)) != op2(h1(e10), h1(e10)) 61.66/62.12 | op2(h1(e10), h1(e13)) != h1(op1(e10, e13)) 61.66/62.12 | h1(op1(e11, e11)) != op2(h1(e11), h1(e11)) 61.66/62.12 | op2(h1(e12), h1(e10)) != h1(op1(e12, e10)) 61.66/62.12 | op2(h1(e12), h1(e11)) != h1(op1(e12, e11)) 61.66/62.12 | op2(h1(e12), h1(e12)) != h1(op1(e12, e12)) 61.66/62.12 | op2(h1(e12), h1(e13)) != h1(op1(e12, e13)) 61.66/62.12 | h1(op1(e13, e10)) != op2(h1(e13), h1(e10)) 61.66/62.12 | op2(h1(e13), h1(e11)) != h1(op1(e13, e11)) 61.66/62.12 | e20 != h1(e10) 61.66/62.12 | h1(e10) != e21 61.66/62.12 | e22 != h1(e13) 61.66/62.12 | e23 != h1(e10) 61.66/62.12 | h1(op1(e13, e13)) != op2(h1(e13), h1(e13)) 61.66/62.12 | h1(op1(e13, e12)) != op2(h1(e13), h1(e12)) 61.66/62.12 | h1(op1(e11, e13)) != op2(h1(e11), h1(e13)) 61.66/62.12 | h1(op1(e11, e12)) != op2(h1(e11), h1(e12)) 61.66/62.12 | op2(h1(e11), h1(e10)) != h1(op1(e11, e10)) 61.66/62.12 | op2(h1(e10), h1(e12)) != h1(op1(e10, e12)) 61.66/62.12 | h1(op1(e10, e11)) != op2(h1(e10), h1(e11))), 61.66/62.12 inference('cnf', [status(esa)], [zf_stmt_5])). 61.66/62.12 tff('1174', plain, e10 = op1(e11, e11), 61.66/62.12 inference('demod', [status(thm)], ['4', '5', '6'])). 61.66/62.12 tff('1175', plain, h1(e10) = op2(h1(e11), h1(e11)), 61.66/62.12 inference('demod', [status(thm)], ['929', '930', '931'])). 61.66/62.12 tff('1176', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('1177', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('1178', plain, h1(e13) = op2(e20, h1(e11)), 61.66/62.12 inference('demod', [status(thm)], ['52', '53'])). 61.66/62.12 tff('1179', plain, op1(e12, e11) = e13, 61.66/62.12 inference('demod', [status(thm)], ['10', '11'])). 61.66/62.12 tff('1180', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('1181', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('1182', plain, h1(e11) = op2(e20, e20), 61.66/62.12 inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('1183', plain, e11 = op1(e12, e12), 61.66/62.12 inference('cnf', [status(esa)], [ax12])). 61.66/62.12 tff('1184', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('1185', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('1186', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('1187', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.12 tff('1188', plain, 61.66/62.12 (h1(op1(e10, e10)) != op2(h1(e10), h1(e10)) 61.66/62.12 | op2(h1(e10), h1(e13)) != h1(op1(e10, e13)) 61.66/62.12 | h1(e10) != h1(e10) 61.66/62.12 | op2(e20, h1(e10)) != h1(op1(e12, e10)) 61.66/62.12 | h1(e13) != h1(e13) 61.66/62.12 | h1(e11) != h1(e11) 61.66/62.12 | op2(e20, h1(e13)) != h1(op1(e12, e13)) 61.66/62.12 | h1(op1(e13, e10)) != op2(h1(e13), h1(e10)) 61.66/62.12 | op2(h1(e13), h1(e11)) != h1(op1(e13, e11)) 61.66/62.12 | e20 != h1(e10) 61.66/62.12 | h1(e10) != e21 61.66/62.12 | e22 != h1(e13) 61.66/62.12 | e23 != h1(e10) 61.66/62.12 | h1(op1(e13, e13)) != op2(h1(e13), h1(e13)) 61.66/62.12 | h1(op1(e13, e12)) != op2(h1(e13), e20) 61.66/62.12 | h1(op1(e11, e13)) != op2(h1(e11), h1(e13)) 61.66/62.12 | h1(op1(e11, e12)) != op2(h1(e11), e20) 61.66/62.12 | op2(h1(e11), h1(e10)) != h1(op1(e11, e10)) 61.66/62.12 | op2(h1(e10), e20) != h1(op1(e10, e12)) 61.66/62.12 | h1(op1(e10, e11)) != op2(h1(e10), h1(e11))), 61.66/62.12 inference('demod', [status(thm)], 61.66/62.12 ['1173', '1174', '1175', '1176', '1177', '1178', '1179', 61.66/62.12 '1180', '1181', '1182', '1183', '1184', '1185', '1186', '1187'])). 61.66/62.12 tff('1189', plain, 61.66/62.12 (h1(op1(e10, e11)) != op2(h1(e10), h1(e11)) 61.66/62.12 | op2(h1(e10), e20) != h1(op1(e10, e12)) 61.66/62.12 | op2(h1(e11), h1(e10)) != h1(op1(e11, e10)) 61.66/62.12 | h1(op1(e11, e12)) != op2(h1(e11), e20) 61.66/62.12 | h1(op1(e11, e13)) != op2(h1(e11), h1(e13)) 61.66/62.12 | h1(op1(e13, e12)) != op2(h1(e13), e20) 61.66/62.12 | h1(op1(e13, e13)) != op2(h1(e13), h1(e13)) 61.66/62.12 | e23 != h1(e10) 61.66/62.12 | e22 != h1(e13) 61.66/62.12 | h1(e10) != e21 61.66/62.12 | e20 != h1(e10) 61.66/62.12 | op2(h1(e13), h1(e11)) != h1(op1(e13, e11)) 61.66/62.12 | h1(op1(e13, e10)) != op2(h1(e13), h1(e10)) 61.66/62.12 | op2(e20, h1(e13)) != h1(op1(e12, e13)) 61.66/62.12 | op2(e20, h1(e10)) != h1(op1(e12, e10)) 61.66/62.12 | op2(h1(e10), h1(e13)) != h1(op1(e10, e13)) 61.66/62.12 | h1(op1(e10, e10)) != op2(h1(e10), h1(e10))), 61.66/62.12 inference('simplify', [status(thm)], ['1188'])). 61.66/62.12 tff('1190', plain, (e22 != h1(e13)) <= (~ (e22 = h1(e13))), 61.66/62.12 inference('split', [status(esa)], ['1189'])). 61.66/62.12 tff('1191', plain, 61.66/62.12 (e22 != e22) 61.66/62.12 <= (~ (e22 = h1(e13)) & (e22 = op2(e20, e23)) & (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1172', '1190'])). 61.66/62.12 tff('1192', plain, 61.66/62.12 (e22 = h1(e13)) | ~ (op2(e20, e20) = e23) | ~ (e22 = op2(e20, e23)), 61.66/62.12 inference('simplify', [status(thm)], ['1191'])). 61.66/62.12 tff('1193', plain, (h4(e11) = e21) <= ((e21 = h4(e11))), 61.66/62.12 inference('split', [status(esa)], ['110'])). 61.66/62.12 tff('1194', plain, (h1(e10) = h4(e11)) <= ((op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup+', [status(thm)], ['1003', '1004'])). 61.66/62.12 tff('1195', plain, (h1(e10) != e21) <= (~ (h1(e10) = e21)), 61.66/62.12 inference('split', [status(esa)], ['974'])). 61.66/62.12 tff('1196', plain, 61.66/62.12 (h4(e11) != e21) <= (~ (h1(e10) = e21) & (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1194', '1195'])). 61.66/62.12 tff('1197', plain, 61.66/62.12 (e21 != e21) 61.66/62.12 <= (~ (h1(e10) = e21) & (e21 = h4(e11)) & (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1193', '1196'])). 61.66/62.12 tff('1198', plain, 61.66/62.12 (h1(e10) = e21) | ~ (op2(e20, e20) = e23) | ~ (e21 = h4(e11)), 61.66/62.12 inference('simplify', [status(thm)], ['1197'])). 61.66/62.12 tff('1199', plain, 61.66/62.12 (op2(e21, e20) = e22 61.66/62.12 | op2(e21, e21) = e22 61.66/62.12 | op2(e21, e23) = e22 61.66/62.12 | op2(e21, e22) = e22), 61.66/62.12 inference('cnf', [status(esa)], [ax4])). 61.66/62.12 tff('1200', plain, 61.66/62.12 (op2(e21, e22) = e22) | (op2(e21, e20) = e22) | (op2(e21, e23) = e22) | 61.66/62.12 (op2(e21, e21) = e22), inference('split', [status(esa)], ['1199'])). 61.66/62.12 tff('1201', plain, (e22 = op2(e20, e23)) <= ((e22 = op2(e20, e23))), 61.66/62.12 inference('split', [status(esa)], ['526'])). 61.66/62.12 tff('1202', plain, (op2(e21, e23) = e22) <= ((op2(e21, e23) = e22)), 61.66/62.12 inference('split', [status(esa)], ['241'])). 61.66/62.12 tff('1203', plain, op2(e21, e23) != op2(e20, e23), 61.66/62.12 inference('cnf', [status(esa)], [ax6])). 61.66/62.12 tff('1204', plain, (e22 != op2(e20, e23)) <= ((op2(e21, e23) = e22)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1202', '1203'])). 61.66/62.12 tff('1205', plain, 61.66/62.12 (e22 != e22) <= ((op2(e21, e23) = e22) & (e22 = op2(e20, e23))), 61.66/62.12 inference('s_sup-', [status(thm)], ['1201', '1204'])). 61.66/62.12 tff('1206', plain, ~ (op2(e21, e23) = e22) | ~ (e22 = op2(e20, e23)), 61.66/62.12 inference('simplify', [status(thm)], ['1205'])). 61.66/62.12 tff(zf_stmt_17, axiom, 61.66/62.12 (zip_tseitin_36 => 61.66/62.12 (((e20 != op2(e23,e23)) | (op2(e23,e20) != e23)) & 61.66/62.12 ((e23 != op2(e23,e23)) | (op2(e23,e23) != e23)) & 61.66/62.12 ((op2(e23,e23) != e22) | (op2(e23,e22) != e23)) & 61.66/62.12 ((e23 != op2(e23,e21)) | (e21 != op2(e23,e23))) & (op2(e23,e22) = e22) & 61.66/62.12 (op2(e22,e23) = e22)))). 61.66/62.12 tff('1207', plain, (op2(e23, e22) = e22 | ~ zip_tseitin_36), 61.66/62.12 inference('cnf', [status(esa)], [zf_stmt_17])). 61.66/62.12 tff('1208', plain, ~ ( zip_tseitin_36) | (op2(e23, e22) = e22), 61.66/62.12 inference('split', [status(esa)], ['1207'])). 61.66/62.12 tff('1209', plain, (e22 = op2(e23, e20)) <= ((e22 = op2(e23, e20))), 61.66/62.12 inference('split', [status(esa)], ['272'])). 61.66/62.12 tff('1210', plain, (op2(e23, e21) = e22) <= ((op2(e23, e21) = e22)), 61.66/62.12 inference('split', [status(esa)], ['272'])). 61.66/62.12 tff('1211', plain, op2(e23, e20) != op2(e23, e21), 61.66/62.12 inference('cnf', [status(esa)], [ax6])). 61.66/62.12 tff('1212', plain, (op2(e23, e20) != e22) <= ((op2(e23, e21) = e22)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1210', '1211'])). 61.66/62.12 tff('1213', plain, 61.66/62.12 (e22 != e22) <= ((op2(e23, e21) = e22) & (e22 = op2(e23, e20))), 61.66/62.12 inference('s_sup-', [status(thm)], ['1209', '1212'])). 61.66/62.12 tff('1214', plain, ~ (e22 = op2(e23, e20)) | ~ (op2(e23, e21) = e22), 61.66/62.12 inference('simplify', [status(thm)], ['1213'])). 61.66/62.12 tff('1215', plain, 61.66/62.12 (op2(e23, e21) = e21 61.66/62.12 | op2(e23, e21) = e22 61.66/62.12 | e23 = op2(e23, e21) 61.66/62.12 | op2(e23, e21) = e20), 61.66/62.12 inference('cnf', [status(esa)], [ax3])). 61.66/62.12 tff('1216', plain, 61.66/62.12 (op2(e23, e21) = e22) | (e21 = op2(e23, e21)) | (op2(e23, e21) = e20) | 61.66/62.12 (e23 = op2(e23, e21)), inference('split', [status(esa)], ['1215'])). 61.66/62.12 tff(zf_stmt_18, axiom, 61.66/62.12 (zip_tseitin_44 => 61.66/62.12 (((e21 != op2(e23,e23)) | (e23 != op2(e23,e21))) & 61.66/62.12 ((e23 != op2(e23,e22)) | (e22 != op2(e23,e23))) & 61.66/62.12 ((op2(e23,e23) != e23) | (e23 != op2(e23,e23))) & 61.66/62.12 ((e23 != op2(e23,e20)) | (op2(e23,e23) != e20)) & (e21 = op2(e23,e21)) & 61.66/62.12 (op2(e21,e23) = e21)))). 61.66/62.12 tff('1217', plain, (e21 = op2(e23, e21) | ~ zip_tseitin_44), 61.66/62.12 inference('cnf', [status(esa)], [zf_stmt_18])). 61.66/62.12 tff('1218', plain, ~ ( zip_tseitin_44) | (e21 = op2(e23, e21)), 61.66/62.12 inference('split', [status(esa)], ['1217'])). 61.66/62.12 tff('1219', plain, (e21 = h4(e11)) <= ((op2(e23, e23) = e21)), 61.66/62.12 inference('s_sup+', [status(thm)], ['622', '623'])). 61.66/62.12 tff('1220', plain, 61.66/62.12 (e21 != op2(e23, e23) | e23 != op2(e23, e21) | ~ zip_tseitin_34), 61.66/62.12 inference('cnf', [status(esa)], [zf_stmt_13])). 61.66/62.12 tff('1221', plain, op2(e23, e23) = h4(e11), 61.66/62.12 inference('cnf', [status(esa)], [ax17])). 61.66/62.12 tff('1222', plain, 61.66/62.12 (e21 != h4(e11) | e23 != op2(e23, e21) | ~ zip_tseitin_34), 61.66/62.12 inference('demod', [status(thm)], ['1220', '1221'])). 61.66/62.12 tff('1223', plain, (e21 != h4(e11)) <= (~ (e21 = h4(e11))), 61.66/62.12 inference('split', [status(esa)], ['1222'])). 61.66/62.12 tff('1224', plain, 61.66/62.12 (e21 != e21) <= (~ (e21 = h4(e11)) & (op2(e23, e23) = e21)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1219', '1223'])). 61.66/62.12 tff('1225', plain, (e21 = h4(e11)) | ~ (op2(e23, e23) = e21), 61.66/62.12 inference('simplify', [status(thm)], ['1224'])). 61.66/62.12 tff('1226', plain, (e23 = op2(e23, e22)) <= ((op2(e23, e22) = e23)), 61.66/62.12 inference('split', [status(esa)], ['124'])). 61.66/62.12 tff('1227', plain, 61.66/62.12 (e22 = h1(e13)) <= ((e22 = op2(e20, e23)) & (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup+', [status(thm)], ['993', '994'])). 61.66/62.12 tff('1228', plain, (op1(e11, e13) = e11) <= ((op1(e11, e13) = e11)), 61.66/62.12 inference('split', [status(esa)], ['20'])). 61.66/62.12 tff('1229', plain, 61.66/62.12 (h1(op1(e11, e13)) != op2(h1(e11), h1(e13))) 61.66/62.12 <= (~ (h1(op1(e11, e13)) = op2(h1(e11), h1(e13)))), 61.66/62.12 inference('split', [status(esa)], ['974'])). 61.66/62.12 tff('1230', plain, 61.66/62.12 (h1(e11) != op2(h1(e11), h1(e13))) 61.66/62.12 <= (~ (h1(op1(e11, e13)) = op2(h1(e11), h1(e13))) & 61.66/62.12 (op1(e11, e13) = e11)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1228', '1229'])). 61.66/62.12 tff('1231', plain, 61.66/62.12 (h1(e11) != op2(h1(e11), e22)) 61.66/62.12 <= (~ (h1(op1(e11, e13)) = op2(h1(e11), h1(e13))) & 61.66/62.12 (op1(e11, e13) = e11) & 61.66/62.12 (e22 = op2(e20, e23)) & 61.66/62.12 (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1227', '1230'])). 61.66/62.12 tff('1232', plain, (h1(e11) = e23) <= ((op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup+', [status(thm)], ['989', '990'])). 61.66/62.12 tff('1233', plain, (h1(e11) = e23) <= ((op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup+', [status(thm)], ['989', '990'])). 61.66/62.12 tff('1234', plain, 61.66/62.12 (e23 != op2(e23, e22)) 61.66/62.12 <= (~ (h1(op1(e11, e13)) = op2(h1(e11), h1(e13))) & 61.66/62.12 (op1(e11, e13) = e11) & 61.66/62.12 (e22 = op2(e20, e23)) & 61.66/62.12 (op2(e20, e20) = e23)), 61.66/62.12 inference('demod', [status(thm)], ['1231', '1232', '1233'])). 61.66/62.12 tff('1235', plain, 61.66/62.12 (e23 != e23) 61.66/62.12 <= (~ (h1(op1(e11, e13)) = op2(h1(e11), h1(e13))) & 61.66/62.12 (op2(e23, e22) = e23) & 61.66/62.12 (op1(e11, e13) = e11) & 61.66/62.12 (e22 = op2(e20, e23)) & 61.66/62.12 (op2(e20, e20) = e23)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1226', '1234'])). 61.66/62.12 tff('1236', plain, 61.66/62.12 (h1(op1(e11, e13)) = op2(h1(e11), h1(e13))) | ~ (op1(e11, e13) = e11) | 61.66/62.12 ~ (op2(e23, e22) = e23) | ~ (op2(e20, e20) = e23) | 61.66/62.12 ~ (e22 = op2(e20, e23)), inference('simplify', [status(thm)], ['1235'])). 61.66/62.12 tff('1237', plain, (e23 = op2(e23, e22)) <= ((op2(e23, e22) = e23)), 61.66/62.12 inference('split', [status(esa)], ['124'])). 61.66/62.12 tff('1238', plain, (e13 = op1(e13, e12)) <= ((op1(e13, e12) = e13)), 61.66/62.12 inference('split', [status(esa)], ['320'])). 61.66/62.12 tff('1239', plain, 61.66/62.12 (op2(h3(e13), e22) != h3(op1(e13, e12))) 61.66/62.12 <= (~ (op2(h3(e13), e22) = h3(op1(e13, e12)))), 61.66/62.12 inference('split', [status(esa)], ['451'])). 61.66/62.12 tff('1240', plain, e23 = h3(e13), 61.66/62.12 inference('s_sup+', [status(thm)], ['453', '458'])). 61.66/62.12 tff('1241', plain, 61.66/62.12 (op2(e23, e22) != h3(op1(e13, e12))) 61.66/62.12 <= (~ (op2(h3(e13), e22) = h3(op1(e13, e12)))), 61.66/62.12 inference('demod', [status(thm)], ['1239', '1240'])). 61.66/62.12 tff('1242', plain, 61.66/62.12 (op2(e23, e22) != h3(e13)) 61.66/62.12 <= (~ (op2(h3(e13), e22) = h3(op1(e13, e12))) & (op1(e13, e12) = e13)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1238', '1241'])). 61.66/62.12 tff('1243', plain, e23 = h3(e13), 61.66/62.12 inference('s_sup+', [status(thm)], ['453', '458'])). 61.66/62.12 tff('1244', plain, 61.66/62.12 (op2(e23, e22) != e23) 61.66/62.12 <= (~ (op2(h3(e13), e22) = h3(op1(e13, e12))) & (op1(e13, e12) = e13)), 61.66/62.12 inference('demod', [status(thm)], ['1242', '1243'])). 61.66/62.12 tff('1245', plain, 61.66/62.12 (e23 != e23) 61.66/62.12 <= (~ (op2(h3(e13), e22) = h3(op1(e13, e12))) & 61.66/62.12 (op1(e13, e12) = e13) & 61.66/62.12 (op2(e23, e22) = e23)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1237', '1244'])). 61.66/62.12 tff('1246', plain, 61.66/62.12 (op2(h3(e13), e22) = h3(op1(e13, e12))) | ~ (op1(e13, e12) = e13) | 61.66/62.12 ~ (op2(e23, e22) = e23), inference('simplify', [status(thm)], ['1245'])). 61.66/62.12 tff('1247', plain, (e23 = op2(e20, e23)) <= ((e23 = op2(e20, e23))), 61.66/62.12 inference('split', [status(esa)], ['104'])). 61.66/62.12 tff('1248', plain, (op1(e10, e13) = e13) <= ((op1(e10, e13) = e13)), 61.66/62.12 inference('split', [status(esa)], ['956'])). 61.66/62.12 tff('1249', plain, 61.66/62.12 (op2(e20, e23) != h3(op1(e10, e13))) 61.66/62.12 <= (~ (op2(h3(e10), h3(e13)) = h3(op1(e10, e13)))), 61.66/62.12 inference('demod', [status(thm)], ['546', '547', '548'])). 61.66/62.12 tff('1250', plain, 61.66/62.12 (op2(e20, e23) != h3(e13)) 61.66/62.12 <= (~ (op2(h3(e10), h3(e13)) = h3(op1(e10, e13))) & 61.66/62.12 (op1(e10, e13) = e13)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1248', '1249'])). 61.66/62.12 tff('1251', plain, e23 = h3(e13), 61.66/62.12 inference('s_sup+', [status(thm)], ['453', '458'])). 61.66/62.12 tff('1252', plain, 61.66/62.12 (op2(e20, e23) != e23) 61.66/62.12 <= (~ (op2(h3(e10), h3(e13)) = h3(op1(e10, e13))) & 61.66/62.12 (op1(e10, e13) = e13)), 61.66/62.12 inference('demod', [status(thm)], ['1250', '1251'])). 61.66/62.12 tff('1253', plain, 61.66/62.12 (e23 != e23) 61.66/62.12 <= (~ (op2(h3(e10), h3(e13)) = h3(op1(e10, e13))) & 61.66/62.12 (op1(e10, e13) = e13) & 61.66/62.12 (e23 = op2(e20, e23))), 61.66/62.12 inference('s_sup-', [status(thm)], ['1247', '1252'])). 61.66/62.12 tff('1254', plain, 61.66/62.12 (op2(h3(e10), h3(e13)) = h3(op1(e10, e13))) | ~ (e23 = op2(e20, e23)) | 61.66/62.12 ~ (op1(e10, e13) = e13), inference('simplify', [status(thm)], ['1253'])). 61.66/62.12 tff('1255', plain, (op2(e20, e22) = e20) <= ((op2(e20, e22) = e20)), 61.66/62.12 inference('split', [status(esa)], ['60'])). 61.66/62.12 tff('1256', plain, (e10 = op1(e10, e12)) <= ((e10 = op1(e10, e12))), 61.66/62.12 inference('split', [status(esa)], ['215'])). 61.66/62.12 tff('1257', plain, 61.66/62.12 (h3(op1(e10, e12)) != op2(h3(e10), e22)) 61.66/62.12 <= (~ (h3(op1(e10, e12)) = op2(h3(e10), e22))), 61.66/62.12 inference('split', [status(esa)], ['451'])). 61.66/62.12 tff('1258', plain, h3(e10) = e20, 61.66/62.12 inference('s_sup+', [status(thm)], ['472', '476'])). 61.66/62.12 tff('1259', plain, 61.66/62.12 (h3(op1(e10, e12)) != op2(e20, e22)) 61.66/62.12 <= (~ (h3(op1(e10, e12)) = op2(h3(e10), e22))), 61.66/62.12 inference('demod', [status(thm)], ['1257', '1258'])). 61.66/62.12 tff('1260', plain, 61.66/62.12 (h3(e10) != op2(e20, e22)) 61.66/62.12 <= (~ (h3(op1(e10, e12)) = op2(h3(e10), e22)) & (e10 = op1(e10, e12))), 61.66/62.12 inference('s_sup-', [status(thm)], ['1256', '1259'])). 61.66/62.12 tff('1261', plain, h3(e10) = e20, 61.66/62.12 inference('s_sup+', [status(thm)], ['472', '476'])). 61.66/62.12 tff('1262', plain, 61.66/62.12 (e20 != op2(e20, e22)) 61.66/62.12 <= (~ (h3(op1(e10, e12)) = op2(h3(e10), e22)) & (e10 = op1(e10, e12))), 61.66/62.12 inference('demod', [status(thm)], ['1260', '1261'])). 61.66/62.12 tff('1263', plain, 61.66/62.12 (e20 != e20) 61.66/62.12 <= (~ (h3(op1(e10, e12)) = op2(h3(e10), e22)) & 61.66/62.12 (e10 = op1(e10, e12)) & 61.66/62.12 (op2(e20, e22) = e20)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1255', '1262'])). 61.66/62.12 tff('1264', plain, 61.66/62.12 (h3(op1(e10, e12)) = op2(h3(e10), e22)) | ~ (op2(e20, e22) = e20) | 61.66/62.12 ~ (e10 = op1(e10, e12)), inference('simplify', [status(thm)], ['1263'])). 61.66/62.12 tff('1265', plain, (e23 = h2(e13)) <= ((op2(e21, e20) = e23)), 61.66/62.12 inference('s_sup+', [status(thm)], ['146', '156'])). 61.66/62.12 tff('1266', plain, (e13 = op1(e11, e10)) <= ((e13 = op1(e11, e10))), 61.66/62.12 inference('split', [status(esa)], ['758'])). 61.66/62.12 tff('1267', plain, 61.66/62.12 (h3(op1(e11, e10)) != op2(h3(e11), h3(e10))) 61.66/62.12 <= (~ (h3(op1(e11, e10)) = op2(h3(e11), h3(e10)))), 61.66/62.12 inference('split', [status(esa)], ['451'])). 61.66/62.12 tff('1268', plain, e21 = h3(e11), 61.66/62.12 inference('s_sup+', [status(thm)], ['265', '266'])). 61.66/62.12 tff('1269', plain, h3(e10) = e20, 61.66/62.12 inference('s_sup+', [status(thm)], ['472', '476'])). 61.66/62.12 tff('1270', plain, op2(e21, e20) = h2(e13), 61.66/62.12 inference('demod', [status(thm)], ['149', '155'])). 61.66/62.12 tff('1271', plain, 61.66/62.12 (h3(op1(e11, e10)) != h2(e13)) 61.66/62.12 <= (~ (h3(op1(e11, e10)) = op2(h3(e11), h3(e10)))), 61.66/62.12 inference('demod', [status(thm)], ['1267', '1268', '1269', '1270'])). 61.66/62.12 tff('1272', plain, 61.66/62.12 (h3(e13) != h2(e13)) 61.66/62.12 <= (~ (h3(op1(e11, e10)) = op2(h3(e11), h3(e10))) & 61.66/62.12 (e13 = op1(e11, e10))), 61.66/62.12 inference('s_sup-', [status(thm)], ['1266', '1271'])). 61.66/62.12 tff('1273', plain, e23 = h3(e13), 61.66/62.12 inference('s_sup+', [status(thm)], ['453', '458'])). 61.66/62.12 tff('1274', plain, 61.66/62.12 (e23 != h2(e13)) 61.66/62.12 <= (~ (h3(op1(e11, e10)) = op2(h3(e11), h3(e10))) & 61.66/62.12 (e13 = op1(e11, e10))), 61.66/62.12 inference('demod', [status(thm)], ['1272', '1273'])). 61.66/62.12 tff('1275', plain, 61.66/62.12 (e23 != e23) 61.66/62.12 <= (~ (h3(op1(e11, e10)) = op2(h3(e11), h3(e10))) & 61.66/62.12 (op2(e21, e20) = e23) & 61.66/62.12 (e13 = op1(e11, e10))), 61.66/62.12 inference('s_sup-', [status(thm)], ['1265', '1274'])). 61.66/62.12 tff('1276', plain, 61.66/62.12 (h3(op1(e11, e10)) = op2(h3(e11), h3(e10))) | ~ (op2(e21, e20) = e23) | 61.66/62.12 ~ (e13 = op1(e11, e10)), inference('simplify', [status(thm)], ['1275'])). 61.66/62.12 tff('1277', plain, 61.66/62.12 (op2(e23, e22) = e20 61.66/62.12 | op2(e23, e22) = e22 61.66/62.12 | e23 = op2(e23, e22) 61.66/62.12 | op2(e23, e22) = e21), 61.66/62.12 inference('cnf', [status(esa)], [ax3])). 61.66/62.12 tff('1278', plain, 61.66/62.12 (op2(e23, e22) = e23) | (op2(e23, e22) = e20) | (op2(e23, e22) = e22) | 61.66/62.12 (op2(e23, e22) = e21), inference('split', [status(esa)], ['1277'])). 61.66/62.12 tff('1279', plain, 61.66/62.12 (e22 = op2(e20, e23) 61.66/62.12 | e23 = op2(e20, e23) 61.66/62.12 | e21 = op2(e20, e23) 61.66/62.12 | op2(e20, e23) = e20), 61.66/62.12 inference('cnf', [status(esa)], [ax3])). 61.66/62.12 tff('1280', plain, 61.66/62.12 (e22 = op2(e20, e23)) | (op2(e20, e23) = e20) | (op2(e20, e23) = e21) | 61.66/62.12 (e23 = op2(e20, e23)), inference('split', [status(esa)], ['1279'])). 61.66/62.12 tff('1281', plain, (op2(e21, e23) = e21) <= ((op2(e21, e23) = e21)), 61.66/62.12 inference('split', [status(esa)], ['313'])). 61.66/62.12 tff('1282', plain, (op1(e11, e13) = e11) <= ((op1(e11, e13) = e11)), 61.66/62.12 inference('split', [status(esa)], ['20'])). 61.66/62.12 tff('1283', plain, 61.66/62.12 (h3(op1(e11, e10)) != op2(h3(e11), h3(e10)) 61.66/62.12 | h3(op1(e11, e11)) != op2(h3(e11), h3(e11)) 61.66/62.12 | h3(op1(e13, e10)) != op2(h3(e13), h3(e10)) 61.66/62.12 | op2(h3(e13), h3(e11)) != h3(op1(e13, e11)) 61.66/62.12 | op2(h3(e13), h3(e12)) != h3(op1(e13, e12)) 61.66/62.12 | h3(op1(e13, e13)) != op2(h3(e13), h3(e13)) 61.66/62.12 | h3(e11) != e23 61.66/62.12 | e22 != h3(e13) 61.66/62.12 | h3(e10) != e21 61.66/62.12 | e20 != h3(e10) 61.66/62.12 | op2(h3(e12), h3(e13)) != h3(op1(e12, e13)) 61.66/62.12 | op2(h3(e12), h3(e12)) != h3(op1(e12, e12)) 61.66/62.12 | op2(h3(e12), h3(e11)) != h3(op1(e12, e11)) 61.66/62.12 | h3(op1(e12, e10)) != op2(h3(e12), h3(e10)) 61.66/62.12 | h3(op1(e11, e13)) != op2(h3(e11), h3(e13)) 61.66/62.12 | op2(h3(e11), h3(e12)) != h3(op1(e11, e12)) 61.66/62.12 | op2(h3(e10), h3(e13)) != h3(op1(e10, e13)) 61.66/62.12 | h3(op1(e10, e12)) != op2(h3(e10), h3(e12)) 61.66/62.12 | h3(op1(e10, e11)) != op2(h3(e10), h3(e11)) 61.66/62.12 | op2(h3(e10), h3(e10)) != h3(op1(e10, e10))), 61.66/62.12 inference('cnf', [status(esa)], [zf_stmt_5])). 61.66/62.12 tff('1284', plain, e10 = op1(e11, e11), 61.66/62.12 inference('demod', [status(thm)], ['4', '5', '6'])). 61.66/62.12 tff('1285', plain, h3(e10) = op2(h3(e11), h3(e11)), 61.66/62.12 inference('demod', [status(thm)], ['434', '435', '436'])). 61.66/62.12 tff('1286', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.12 tff('1287', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.12 tff('1288', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.12 tff('1289', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.12 tff('1290', plain, e21 = op2(e22, e22), 61.66/62.12 inference('cnf', [status(esa)], [ax13])). 61.66/62.12 tff('1291', plain, e11 = op1(e12, e12), 61.66/62.12 inference('cnf', [status(esa)], [ax12])). 61.66/62.12 tff('1292', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.12 tff('1293', plain, op2(e22, h3(e11)) = e23, 61.66/62.12 inference('demod', [status(thm)], ['262', '263'])). 61.66/62.12 tff('1294', plain, op1(e12, e11) = e13, 61.66/62.12 inference('demod', [status(thm)], ['10', '11'])). 61.66/62.12 tff('1295', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.12 tff('1296', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.12 tff('1297', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.12 tff('1298', plain, 61.66/62.12 (h3(op1(e11, e10)) != op2(h3(e11), h3(e10)) 61.66/62.12 | h3(e10) != h3(e10) 61.66/62.12 | h3(op1(e13, e10)) != op2(h3(e13), h3(e10)) 61.66/62.12 | op2(h3(e13), h3(e11)) != h3(op1(e13, e11)) 61.66/62.12 | op2(h3(e13), e22) != h3(op1(e13, e12)) 61.66/62.12 | h3(op1(e13, e13)) != op2(h3(e13), h3(e13)) 61.66/62.12 | h3(e11) != e23 61.66/62.12 | e22 != h3(e13) 61.66/62.12 | h3(e10) != e21 61.66/62.12 | e20 != h3(e10) 61.66/62.12 | op2(e22, h3(e13)) != h3(op1(e12, e13)) 61.66/62.12 | e21 != h3(e11) 61.66/62.12 | e23 != h3(e13) 61.66/62.12 | h3(op1(e12, e10)) != op2(e22, h3(e10)) 61.66/62.12 | h3(op1(e11, e13)) != op2(h3(e11), h3(e13)) 61.66/62.12 | op2(h3(e11), e22) != h3(op1(e11, e12)) 61.66/62.12 | op2(h3(e10), h3(e13)) != h3(op1(e10, e13)) 61.66/62.12 | h3(op1(e10, e12)) != op2(h3(e10), e22) 61.66/62.12 | h3(op1(e10, e11)) != op2(h3(e10), h3(e11)) 61.66/62.12 | op2(h3(e10), h3(e10)) != h3(op1(e10, e10))), 61.66/62.12 inference('demod', [status(thm)], 61.66/62.12 ['1283', '1284', '1285', '1286', '1287', '1288', '1289', 61.66/62.12 '1290', '1291', '1292', '1293', '1294', '1295', '1296', '1297'])). 61.66/62.12 tff('1299', plain, 61.66/62.12 (op2(h3(e10), h3(e10)) != h3(op1(e10, e10)) 61.66/62.12 | h3(op1(e10, e11)) != op2(h3(e10), h3(e11)) 61.66/62.12 | h3(op1(e10, e12)) != op2(h3(e10), e22) 61.66/62.12 | op2(h3(e10), h3(e13)) != h3(op1(e10, e13)) 61.66/62.12 | op2(h3(e11), e22) != h3(op1(e11, e12)) 61.66/62.12 | h3(op1(e11, e13)) != op2(h3(e11), h3(e13)) 61.66/62.12 | h3(op1(e12, e10)) != op2(e22, h3(e10)) 61.66/62.12 | e23 != h3(e13) 61.66/62.12 | e21 != h3(e11) 61.66/62.12 | op2(e22, h3(e13)) != h3(op1(e12, e13)) 61.66/62.12 | e20 != h3(e10) 61.66/62.12 | h3(e10) != e21 61.66/62.12 | e22 != h3(e13) 61.66/62.12 | h3(e11) != e23 61.66/62.12 | h3(op1(e13, e13)) != op2(h3(e13), h3(e13)) 61.66/62.12 | op2(h3(e13), e22) != h3(op1(e13, e12)) 61.66/62.12 | op2(h3(e13), h3(e11)) != h3(op1(e13, e11)) 61.66/62.12 | h3(op1(e13, e10)) != op2(h3(e13), h3(e10)) 61.66/62.12 | h3(op1(e11, e10)) != op2(h3(e11), h3(e10))), 61.66/62.12 inference('simplify', [status(thm)], ['1298'])). 61.66/62.12 tff('1300', plain, 61.66/62.12 (h3(op1(e11, e13)) != op2(h3(e11), h3(e13))) 61.66/62.12 <= (~ (h3(op1(e11, e13)) = op2(h3(e11), h3(e13)))), 61.66/62.12 inference('split', [status(esa)], ['1299'])). 61.66/62.12 tff('1301', plain, e21 = h3(e11), 61.66/62.12 inference('s_sup+', [status(thm)], ['265', '266'])). 61.66/62.12 tff('1302', plain, e23 = h3(e13), 61.66/62.12 inference('s_sup+', [status(thm)], ['453', '458'])). 61.66/62.12 tff('1303', plain, 61.66/62.12 (h3(op1(e11, e13)) != op2(e21, e23)) 61.66/62.12 <= (~ (h3(op1(e11, e13)) = op2(h3(e11), h3(e13)))), 61.66/62.12 inference('demod', [status(thm)], ['1300', '1301', '1302'])). 61.66/62.12 tff('1304', plain, 61.66/62.12 (h3(e11) != op2(e21, e23)) 61.66/62.12 <= (~ (h3(op1(e11, e13)) = op2(h3(e11), h3(e13))) & 61.66/62.12 (op1(e11, e13) = e11)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1282', '1303'])). 61.66/62.12 tff('1305', plain, e21 = h3(e11), 61.66/62.12 inference('s_sup+', [status(thm)], ['265', '266'])). 61.66/62.12 tff('1306', plain, 61.66/62.12 (e21 != op2(e21, e23)) 61.66/62.12 <= (~ (h3(op1(e11, e13)) = op2(h3(e11), h3(e13))) & 61.66/62.12 (op1(e11, e13) = e11)), 61.66/62.12 inference('demod', [status(thm)], ['1304', '1305'])). 61.66/62.12 tff('1307', plain, 61.66/62.12 (e21 != e21) 61.66/62.12 <= (~ (h3(op1(e11, e13)) = op2(h3(e11), h3(e13))) & 61.66/62.12 (op2(e21, e23) = e21) & 61.66/62.12 (op1(e11, e13) = e11)), 61.66/62.12 inference('s_sup-', [status(thm)], ['1281', '1306'])). 61.66/62.12 tff('1308', plain, 61.66/62.12 (h3(op1(e11, e13)) = op2(h3(e11), h3(e13))) | ~ (op2(e21, e23) = e21) | 61.66/62.12 ~ (op1(e11, e13) = e11), inference('simplify', [status(thm)], ['1307'])). 61.66/62.12 tff('1309', plain, (op2(e23, e20) = e21) <= ((op2(e23, e20) = e21)), 61.66/62.13 inference('split', [status(esa)], ['165'])). 61.66/62.13 tff('1310', plain, (op1(e13, e10) = e11) <= ((op1(e13, e10) = e11)), 61.66/62.13 inference('split', [status(esa)], ['749'])). 61.66/62.13 tff('1311', plain, 61.66/62.13 (h3(op1(e13, e10)) != op2(e23, e20)) 61.66/62.13 <= (~ (h3(op1(e13, e10)) = op2(h3(e13), h3(e10)))), 61.66/62.13 inference('demod', [status(thm)], ['470', '471', '477'])). 61.66/62.13 tff('1312', plain, 61.66/62.13 (h3(e11) != op2(e23, e20)) 61.66/62.13 <= (~ (h3(op1(e13, e10)) = op2(h3(e13), h3(e10))) & 61.66/62.13 (op1(e13, e10) = e11)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1310', '1311'])). 61.66/62.13 tff('1313', plain, e21 = h3(e11), 61.66/62.13 inference('s_sup+', [status(thm)], ['265', '266'])). 61.66/62.13 tff('1314', plain, 61.66/62.13 (e21 != op2(e23, e20)) 61.66/62.13 <= (~ (h3(op1(e13, e10)) = op2(h3(e13), h3(e10))) & 61.66/62.13 (op1(e13, e10) = e11)), 61.66/62.13 inference('demod', [status(thm)], ['1312', '1313'])). 61.66/62.13 tff('1315', plain, 61.66/62.13 (e21 != e21) 61.66/62.13 <= (~ (h3(op1(e13, e10)) = op2(h3(e13), h3(e10))) & 61.66/62.13 (op2(e23, e20) = e21) & 61.66/62.13 (op1(e13, e10) = e11)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1309', '1314'])). 61.66/62.13 tff('1316', plain, 61.66/62.13 (h3(op1(e13, e10)) = op2(h3(e13), h3(e10))) | ~ (op1(e13, e10) = e11) | 61.66/62.13 ~ (op2(e23, e20) = e21), inference('simplify', [status(thm)], ['1315'])). 61.66/62.13 tff('1317', plain, (e20 = h4(e11)) <= ((e20 = op2(e23, e23))), 61.66/62.13 inference('s_sup+', [status(thm)], ['64', '65'])). 61.66/62.13 tff('1318', plain, (e20 != h4(e11)) <= ((op2(e20, e23) = e20)), 61.66/62.13 inference('s_sup-', [status(thm)], ['801', '802'])). 61.66/62.13 tff('1319', plain, 61.66/62.13 (e20 != e20) <= ((op2(e20, e23) = e20) & (e20 = op2(e23, e23))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1317', '1318'])). 61.66/62.13 tff('1320', plain, ~ (op2(e20, e23) = e20) | ~ (e20 = op2(e23, e23)), 61.66/62.13 inference('simplify', [status(thm)], ['1319'])). 61.66/62.13 tff('1321', plain, (e20 = h4(e11)) <= ((e20 = op2(e23, e23))), 61.66/62.13 inference('s_sup+', [status(thm)], ['64', '65'])). 61.66/62.13 tff('1322', plain, (e10 = op1(e13, e13)) <= ((op1(e13, e13) = e10)), 61.66/62.13 inference('split', [status(esa)], ['1082'])). 61.66/62.13 tff('1323', plain, 61.66/62.13 (h3(op1(e13, e13)) != h4(e11)) 61.66/62.13 <= (~ (h3(op1(e13, e13)) = op2(h3(e13), h3(e13)))), 61.66/62.13 inference('demod', [status(thm)], ['452', '459', '460', '461'])). 61.66/62.13 tff('1324', plain, 61.66/62.13 (h3(e10) != h4(e11)) 61.66/62.13 <= (~ (h3(op1(e13, e13)) = op2(h3(e13), h3(e13))) & 61.66/62.13 (op1(e13, e13) = e10)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1322', '1323'])). 61.66/62.13 tff('1325', plain, h3(e10) = e20, 61.66/62.13 inference('s_sup+', [status(thm)], ['472', '476'])). 61.66/62.13 tff('1326', plain, 61.66/62.13 (e20 != h4(e11)) 61.66/62.13 <= (~ (h3(op1(e13, e13)) = op2(h3(e13), h3(e13))) & 61.66/62.13 (op1(e13, e13) = e10)), 61.66/62.13 inference('demod', [status(thm)], ['1324', '1325'])). 61.66/62.13 tff('1327', plain, 61.66/62.13 (e20 != e20) 61.66/62.13 <= (~ (h3(op1(e13, e13)) = op2(h3(e13), h3(e13))) & 61.66/62.13 (op1(e13, e13) = e10) & 61.66/62.13 (e20 = op2(e23, e23))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1321', '1326'])). 61.66/62.13 tff('1328', plain, 61.66/62.13 (h3(op1(e13, e13)) = op2(h3(e13), h3(e13))) | ~ (op1(e13, e13) = e10) | 61.66/62.13 ~ (e20 = op2(e23, e23)), inference('simplify', [status(thm)], ['1327'])). 61.66/62.13 tff('1329', plain, (e20 = op2(e20, e23)) <= ((op2(e20, e23) = e20)), 61.66/62.13 inference('split', [status(esa)], ['63'])). 61.66/62.13 tff('1330', plain, (h1(e13) = op2(e20, e22)) <= ((h1(e11) = e22)), 61.66/62.13 inference('s_sup+', [status(thm)], ['51', '54'])). 61.66/62.13 tff('1331', plain, (op2(e20, e22) = e23) <= ((op2(e20, e22) = e23)), 61.66/62.13 inference('split', [status(esa)], ['615'])). 61.66/62.13 tff('1332', plain, 61.66/62.13 (h1(e13) = e23) <= ((h1(e11) = e22) & (op2(e20, e22) = e23)), 61.66/62.13 inference('s_sup+', [status(thm)], ['1330', '1331'])). 61.66/62.13 tff('1333', plain, 61.66/62.13 (op2(e20, h1(e13)) != e20) 61.66/62.13 <= (~ (op2(e20, h1(e13)) = h1(op1(e12, e13))) & (op1(e12, e13) = e12)), 61.66/62.13 inference('demod', [status(thm)], ['1151', '1152'])). 61.66/62.13 tff('1334', plain, 61.66/62.13 (op2(e20, e23) != e20) 61.66/62.13 <= (~ (op2(e20, h1(e13)) = h1(op1(e12, e13))) & 61.66/62.13 (op1(e12, e13) = e12) & 61.66/62.13 (h1(e11) = e22) & 61.66/62.13 (op2(e20, e22) = e23)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1332', '1333'])). 61.66/62.13 tff('1335', plain, 61.66/62.13 (e20 != e20) 61.66/62.13 <= (~ (op2(e20, h1(e13)) = h1(op1(e12, e13))) & 61.66/62.13 (op1(e12, e13) = e12) & 61.66/62.13 (h1(e11) = e22) & 61.66/62.13 (op2(e20, e23) = e20) & 61.66/62.13 (op2(e20, e22) = e23)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1329', '1334'])). 61.66/62.13 tff('1336', plain, 61.66/62.13 (op2(e20, h1(e13)) = h1(op1(e12, e13))) | ~ (op1(e12, e13) = e12) | 61.66/62.13 ~ (h1(e11) = e22) | ~ (op2(e20, e22) = e23) | ~ (op2(e20, e23) = e20), 61.66/62.13 inference('simplify', [status(thm)], ['1335'])). 61.66/62.13 tff('1337', plain, (e21 = h4(e11)) <= ((op2(e23, e23) = e21)), 61.66/62.13 inference('s_sup+', [status(thm)], ['622', '623'])). 61.66/62.13 tff('1338', plain, 61.66/62.13 (h1(e13) = e23) <= ((h1(e11) = e22) & (op2(e20, e22) = e23)), 61.66/62.13 inference('s_sup+', [status(thm)], ['1330', '1331'])). 61.66/62.13 tff('1339', plain, 61.66/62.13 (h1(e10) != op2(h1(e13), h1(e13))) 61.66/62.13 <= (~ (h1(op1(e13, e13)) = op2(h1(e13), h1(e13))) & 61.66/62.13 (op1(e13, e13) = e10)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1083', '1084'])). 61.66/62.13 tff('1340', plain, 61.66/62.13 (h1(e10) != op2(e23, e23)) 61.66/62.13 <= (~ (h1(op1(e13, e13)) = op2(h1(e13), h1(e13))) & 61.66/62.13 (op1(e13, e13) = e10) & 61.66/62.13 (h1(e11) = e22) & 61.66/62.13 (op2(e20, e22) = e23)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1338', '1339'])). 61.66/62.13 tff('1341', plain, (e22 = h1(e11)) <= ((h1(e11) = e22)), 61.66/62.13 inference('split', [status(esa)], ['50'])). 61.66/62.13 tff('1342', plain, h1(e10) = op2(h1(e11), h1(e11)), 61.66/62.13 inference('demod', [status(thm)], ['929', '930', '931'])). 61.66/62.13 tff('1343', plain, (h1(e10) = op2(e22, e22)) <= ((h1(e11) = e22)), 61.66/62.13 inference('s_sup+', [status(thm)], ['1341', '1342'])). 61.66/62.13 tff('1344', plain, e21 = op2(e22, e22), 61.66/62.13 inference('cnf', [status(esa)], [ax13])). 61.66/62.13 tff('1345', plain, (e21 = h1(e10)) <= ((h1(e11) = e22)), 61.66/62.13 inference('s_sup+', [status(thm)], ['1343', '1344'])). 61.66/62.13 tff('1346', plain, op2(e23, e23) = h4(e11), 61.66/62.13 inference('cnf', [status(esa)], [ax17])). 61.66/62.13 tff('1347', plain, 61.66/62.13 (e21 != h4(e11)) 61.66/62.13 <= (~ (h1(op1(e13, e13)) = op2(h1(e13), h1(e13))) & 61.66/62.13 (op1(e13, e13) = e10) & 61.66/62.13 (h1(e11) = e22) & 61.66/62.13 (op2(e20, e22) = e23)), 61.66/62.13 inference('demod', [status(thm)], ['1340', '1345', '1346'])). 61.66/62.13 tff('1348', plain, 61.66/62.13 (e21 != e21) 61.66/62.13 <= (~ (h1(op1(e13, e13)) = op2(h1(e13), h1(e13))) & 61.66/62.13 (op1(e13, e13) = e10) & 61.66/62.13 (h1(e11) = e22) & 61.66/62.13 (op2(e23, e23) = e21) & 61.66/62.13 (op2(e20, e22) = e23)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1337', '1347'])). 61.66/62.13 tff('1349', plain, 61.66/62.13 (h1(op1(e13, e13)) = op2(h1(e13), h1(e13))) | ~ (op1(e13, e13) = e10) | 61.66/62.13 ~ (op2(e20, e22) = e23) | ~ (h1(e11) = e22) | ~ (op2(e23, e23) = e21), 61.66/62.13 inference('simplify', [status(thm)], ['1348'])). 61.66/62.13 tff('1350', plain, (e23 = op2(e23, e20)) <= ((e23 = op2(e23, e20))), 61.66/62.13 inference('split', [status(esa)], ['145'])). 61.66/62.13 tff('1351', plain, 61.66/62.13 (h1(e13) = e23) <= ((h1(e11) = e22) & (op2(e20, e22) = e23)), 61.66/62.13 inference('s_sup+', [status(thm)], ['1330', '1331'])). 61.66/62.13 tff('1352', plain, 61.66/62.13 (h1(e13) != op2(h1(e13), e20)) 61.66/62.13 <= (~ (h1(op1(e13, e12)) = op2(h1(e13), e20)) & (op1(e13, e12) = e13)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1094', '1095'])). 61.66/62.13 tff('1353', plain, 61.66/62.13 (e23 != op2(e23, e20)) 61.66/62.13 <= (~ (h1(op1(e13, e12)) = op2(h1(e13), e20)) & 61.66/62.13 (op1(e13, e12) = e13) & 61.66/62.13 (h1(e11) = e22) & 61.66/62.13 (op2(e20, e22) = e23)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1351', '1352'])). 61.66/62.13 tff('1354', plain, 61.66/62.13 (e23 != e23) 61.66/62.13 <= (~ (h1(op1(e13, e12)) = op2(h1(e13), e20)) & 61.66/62.13 (op1(e13, e12) = e13) & 61.66/62.13 (e23 = op2(e23, e20)) & 61.66/62.13 (h1(e11) = e22) & 61.66/62.13 (op2(e20, e22) = e23)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1350', '1353'])). 61.66/62.13 tff('1355', plain, 61.66/62.13 (h1(op1(e13, e12)) = op2(h1(e13), e20)) | ~ (op2(e20, e22) = e23) | 61.66/62.13 ~ (op1(e13, e12) = e13) | ~ (h1(e11) = e22) | ~ (e23 = op2(e23, e20)), 61.66/62.13 inference('simplify', [status(thm)], ['1354'])). 61.66/62.13 tff('1356', plain, 61.66/62.13 (h1(e13) = e23) <= ((h1(e11) = e22) & (op2(e20, e22) = e23)), 61.66/62.13 inference('s_sup+', [status(thm)], ['1330', '1331'])). 61.66/62.13 tff('1357', plain, (e23 != h1(e13)) <= (~ (e23 = h1(e13))), 61.66/62.13 inference('split', [status(esa)], ['1058'])). 61.66/62.13 tff('1358', plain, 61.66/62.13 (e23 != e23) 61.66/62.13 <= (~ (e23 = h1(e13)) & (h1(e11) = e22) & (op2(e20, e22) = e23)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1356', '1357'])). 61.66/62.13 tff('1359', plain, 61.66/62.13 (e23 = h1(e13)) | ~ (op2(e20, e22) = e23) | ~ (h1(e11) = e22), 61.66/62.13 inference('simplify', [status(thm)], ['1358'])). 61.66/62.13 tff('1360', plain, (op2(e21, e23) = e23) <= ((op2(e21, e23) = e23)), 61.66/62.13 inference('split', [status(esa)], ['684'])). 61.66/62.13 tff('1361', plain, 61.66/62.13 (h1(e13) = e23) <= ((h1(e11) = e22) & (op2(e20, e22) = e23)), 61.66/62.13 inference('s_sup+', [status(thm)], ['1330', '1331'])). 61.66/62.13 tff('1362', plain, 61.66/62.13 (op2(h1(e10), h1(e13)) != h1(e13)) 61.66/62.13 <= (~ (op2(h1(e10), h1(e13)) = h1(op1(e10, e13))) & 61.66/62.13 (op1(e10, e13) = e13)), 61.66/62.13 inference('s_sup-', [status(thm)], ['957', '975'])). 61.66/62.13 tff('1363', plain, 61.66/62.13 (op2(h1(e10), e23) != e23) 61.66/62.13 <= (~ (op2(h1(e10), h1(e13)) = h1(op1(e10, e13))) & 61.66/62.13 (op1(e10, e13) = e13) & 61.66/62.13 (h1(e11) = e22) & 61.66/62.13 (op2(e20, e22) = e23)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1361', '1362'])). 61.66/62.13 tff('1364', plain, (e21 = h1(e10)) <= ((h1(e11) = e22)), 61.66/62.13 inference('s_sup+', [status(thm)], ['1343', '1344'])). 61.66/62.13 tff('1365', plain, 61.66/62.13 (op2(e21, e23) != e23) 61.66/62.13 <= (~ (op2(h1(e10), h1(e13)) = h1(op1(e10, e13))) & 61.66/62.13 (op1(e10, e13) = e13) & 61.66/62.13 (h1(e11) = e22) & 61.66/62.13 (op2(e20, e22) = e23)), 61.66/62.13 inference('demod', [status(thm)], ['1363', '1364'])). 61.66/62.13 tff('1366', plain, 61.66/62.13 (e23 != e23) 61.66/62.13 <= (~ (op2(h1(e10), h1(e13)) = h1(op1(e10, e13))) & 61.66/62.13 (op2(e21, e23) = e23) & 61.66/62.13 (op1(e10, e13) = e13) & 61.66/62.13 (h1(e11) = e22) & 61.66/62.13 (op2(e20, e22) = e23)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1360', '1365'])). 61.66/62.13 tff('1367', plain, 61.66/62.13 (op2(h1(e10), h1(e13)) = h1(op1(e10, e13))) | ~ (op2(e20, e22) = e23) | 61.66/62.13 ~ (op1(e10, e13) = e13) | ~ (h1(e11) = e22) | ~ (op2(e21, e23) = e23), 61.66/62.13 inference('simplify', [status(thm)], ['1366'])). 61.66/62.13 tff('1368', plain, 61.66/62.13 (h1(e13) = e23) <= ((h1(e11) = e22) & (op2(e20, e22) = e23)), 61.66/62.13 inference('s_sup+', [status(thm)], ['1330', '1331'])). 61.66/62.13 tff('1369', plain, (e22 = h1(e11)) <= ((h1(e11) = e22)), 61.66/62.13 inference('split', [status(esa)], ['50'])). 61.66/62.13 tff('1370', plain, 61.66/62.13 (op2(h1(e11), h1(e10)) != h1(e13)) 61.66/62.13 <= (~ (op2(h1(e11), h1(e10)) = h1(op1(e11, e10))) & 61.66/62.13 (e13 = op1(e11, e10))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1137', '1138'])). 61.66/62.13 tff('1371', plain, 61.66/62.13 (op2(e22, h1(e10)) != h1(e13)) 61.66/62.13 <= (~ (op2(h1(e11), h1(e10)) = h1(op1(e11, e10))) & 61.66/62.13 (h1(e11) = e22) & 61.66/62.13 (e13 = op1(e11, e10))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1369', '1370'])). 61.66/62.13 tff('1372', plain, (e21 = h1(e10)) <= ((h1(e11) = e22)), 61.66/62.13 inference('s_sup+', [status(thm)], ['1343', '1344'])). 61.66/62.13 tff('1373', plain, op2(e22, e21) = e23, 61.66/62.13 inference('demod', [status(thm)], ['264', '267'])). 61.66/62.13 tff('1374', plain, 61.66/62.13 (e23 != h1(e13)) 61.66/62.13 <= (~ (op2(h1(e11), h1(e10)) = h1(op1(e11, e10))) & 61.66/62.13 (h1(e11) = e22) & 61.66/62.13 (e13 = op1(e11, e10))), 61.66/62.13 inference('demod', [status(thm)], ['1371', '1372', '1373'])). 61.66/62.13 tff('1375', plain, 61.66/62.13 (e23 != e23) 61.66/62.13 <= (~ (op2(h1(e11), h1(e10)) = h1(op1(e11, e10))) & 61.66/62.13 (h1(e11) = e22) & 61.66/62.13 (op2(e20, e22) = e23) & 61.66/62.13 (e13 = op1(e11, e10))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1368', '1374'])). 61.66/62.13 tff('1376', plain, 61.66/62.13 (op2(h1(e11), h1(e10)) = h1(op1(e11, e10))) | ~ (op2(e20, e22) = e23) | 61.66/62.13 ~ (e13 = op1(e11, e10)) | ~ (h1(e11) = e22), 61.66/62.13 inference('simplify', [status(thm)], ['1375'])). 61.66/62.13 tff('1377', plain, (op2(e22, e23) = e22) <= ((op2(e22, e23) = e22)), 61.66/62.13 inference('split', [status(esa)], ['212'])). 61.66/62.13 tff('1378', plain, 61.66/62.13 (h1(e13) = e23) <= ((h1(e11) = e22) & (op2(e20, e22) = e23)), 61.66/62.13 inference('s_sup+', [status(thm)], ['1330', '1331'])). 61.66/62.13 tff('1379', plain, 61.66/62.13 (h1(e11) != op2(h1(e11), h1(e13))) 61.66/62.13 <= (~ (h1(op1(e11, e13)) = op2(h1(e11), h1(e13))) & 61.66/62.13 (op1(e11, e13) = e11)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1228', '1229'])). 61.66/62.13 tff('1380', plain, 61.66/62.13 (h1(e11) != op2(h1(e11), e23)) 61.66/62.13 <= (~ (h1(op1(e11, e13)) = op2(h1(e11), h1(e13))) & 61.66/62.13 (h1(e11) = e22) & 61.66/62.13 (op1(e11, e13) = e11) & 61.66/62.13 (op2(e20, e22) = e23)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1378', '1379'])). 61.66/62.13 tff('1381', plain, (e22 = h1(e11)) <= ((h1(e11) = e22)), 61.66/62.13 inference('split', [status(esa)], ['50'])). 61.66/62.13 tff('1382', plain, (e22 = h1(e11)) <= ((h1(e11) = e22)), 61.66/62.13 inference('split', [status(esa)], ['50'])). 61.66/62.13 tff('1383', plain, 61.66/62.13 (e22 != op2(e22, e23)) 61.66/62.13 <= (~ (h1(op1(e11, e13)) = op2(h1(e11), h1(e13))) & 61.66/62.13 (h1(e11) = e22) & 61.66/62.13 (op1(e11, e13) = e11) & 61.66/62.13 (op2(e20, e22) = e23)), 61.66/62.13 inference('demod', [status(thm)], ['1380', '1381', '1382'])). 61.66/62.13 tff('1384', plain, 61.66/62.13 (e22 != e22) 61.66/62.13 <= (~ (h1(op1(e11, e13)) = op2(h1(e11), h1(e13))) & 61.66/62.13 (h1(e11) = e22) & 61.66/62.13 (op2(e22, e23) = e22) & 61.66/62.13 (op1(e11, e13) = e11) & 61.66/62.13 (op2(e20, e22) = e23)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1377', '1383'])). 61.66/62.13 tff('1385', plain, 61.66/62.13 (h1(op1(e11, e13)) = op2(h1(e11), h1(e13))) | ~ (op1(e11, e13) = e11) | 61.66/62.13 ~ (op2(e20, e22) = e23) | ~ (h1(e11) = e22) | ~ (op2(e22, e23) = e22), 61.66/62.13 inference('simplify', [status(thm)], ['1384'])). 61.66/62.13 tff('1386', plain, (op2(e23, e21) = e22) <= ((op2(e23, e21) = e22)), 61.66/62.13 inference('split', [status(esa)], ['272'])). 61.66/62.13 tff('1387', plain, 61.66/62.13 (h1(e13) = e23) <= ((h1(e11) = e22) & (op2(e20, e22) = e23)), 61.66/62.13 inference('s_sup+', [status(thm)], ['1330', '1331'])). 61.66/62.13 tff('1388', plain, 61.66/62.13 (h1(e11) != op2(h1(e13), h1(e10))) 61.66/62.13 <= (~ (h1(op1(e13, e10)) = op2(h1(e13), h1(e10))) & 61.66/62.13 (op1(e13, e10) = e11)), 61.66/62.13 inference('s_sup-', [status(thm)], ['996', '997'])). 61.66/62.13 tff('1389', plain, 61.66/62.13 (h1(e11) != op2(e23, h1(e10))) 61.66/62.13 <= (~ (h1(op1(e13, e10)) = op2(h1(e13), h1(e10))) & 61.66/62.13 (h1(e11) = e22) & 61.66/62.13 (op2(e20, e22) = e23) & 61.66/62.13 (op1(e13, e10) = e11)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1387', '1388'])). 61.66/62.13 tff('1390', plain, (e22 = h1(e11)) <= ((h1(e11) = e22)), 61.66/62.13 inference('split', [status(esa)], ['50'])). 61.66/62.13 tff('1391', plain, (e21 = h1(e10)) <= ((h1(e11) = e22)), 61.66/62.13 inference('s_sup+', [status(thm)], ['1343', '1344'])). 61.66/62.13 tff('1392', plain, 61.66/62.13 (e22 != op2(e23, e21)) 61.66/62.13 <= (~ (h1(op1(e13, e10)) = op2(h1(e13), h1(e10))) & 61.66/62.13 (h1(e11) = e22) & 61.66/62.13 (op2(e20, e22) = e23) & 61.66/62.13 (op1(e13, e10) = e11)), 61.66/62.13 inference('demod', [status(thm)], ['1389', '1390', '1391'])). 61.66/62.13 tff('1393', plain, 61.66/62.13 (e22 != e22) 61.66/62.13 <= (~ (h1(op1(e13, e10)) = op2(h1(e13), h1(e10))) & 61.66/62.13 (h1(e11) = e22) & 61.66/62.13 (op2(e23, e21) = e22) & 61.66/62.13 (op2(e20, e22) = e23) & 61.66/62.13 (op1(e13, e10) = e11)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1386', '1392'])). 61.66/62.13 tff('1394', plain, 61.66/62.13 (h1(op1(e13, e10)) = op2(h1(e13), h1(e10))) | ~ (op1(e13, e10) = e11) | 61.66/62.13 ~ (op2(e20, e22) = e23) | ~ (h1(e11) = e22) | ~ (op2(e23, e21) = e22), 61.66/62.13 inference('simplify', [status(thm)], ['1393'])). 61.66/62.13 tff('1395', plain, (op2(e23, e22) = e20) <= ((op2(e23, e22) = e20)), 61.66/62.13 inference('split', [status(esa)], ['60'])). 61.66/62.13 tff('1396', plain, 61.66/62.13 (h1(e13) = e23) <= ((h1(e11) = e22) & (op2(e20, e22) = e23)), 61.66/62.13 inference('s_sup+', [status(thm)], ['1330', '1331'])). 61.66/62.13 tff('1397', plain, 61.66/62.13 (op2(h1(e13), h1(e11)) != e20) 61.66/62.13 <= (~ (op2(h1(e13), h1(e11)) = h1(op1(e13, e11))) & 61.66/62.13 (op1(e13, e11) = e12)), 61.66/62.13 inference('demod', [status(thm)], ['1104', '1105'])). 61.66/62.13 tff('1398', plain, 61.66/62.13 (op2(e23, h1(e11)) != e20) 61.66/62.13 <= (~ (op2(h1(e13), h1(e11)) = h1(op1(e13, e11))) & 61.66/62.13 (h1(e11) = e22) & 61.66/62.13 (op2(e20, e22) = e23) & 61.66/62.13 (op1(e13, e11) = e12)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1396', '1397'])). 61.66/62.13 tff('1399', plain, (e22 = h1(e11)) <= ((h1(e11) = e22)), 61.66/62.13 inference('split', [status(esa)], ['50'])). 61.66/62.13 tff('1400', plain, 61.66/62.13 (op2(e23, e22) != e20) 61.66/62.13 <= (~ (op2(h1(e13), h1(e11)) = h1(op1(e13, e11))) & 61.66/62.13 (h1(e11) = e22) & 61.66/62.13 (op2(e20, e22) = e23) & 61.66/62.13 (op1(e13, e11) = e12)), 61.66/62.13 inference('demod', [status(thm)], ['1398', '1399'])). 61.66/62.13 tff('1401', plain, 61.66/62.13 (e20 != e20) 61.66/62.13 <= (~ (op2(h1(e13), h1(e11)) = h1(op1(e13, e11))) & 61.66/62.13 (op2(e23, e22) = e20) & 61.66/62.13 (h1(e11) = e22) & 61.66/62.13 (op2(e20, e22) = e23) & 61.66/62.13 (op1(e13, e11) = e12)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1395', '1400'])). 61.66/62.13 tff('1402', plain, 61.66/62.13 (op2(h1(e13), h1(e11)) = h1(op1(e13, e11))) | ~ (op2(e23, e22) = e20) | 61.66/62.13 ~ (op1(e13, e11) = e12) | ~ (h1(e11) = e22) | ~ (op2(e20, e22) = e23), 61.66/62.13 inference('simplify', [status(thm)], ['1401'])). 61.66/62.13 tff('1403', plain, (e21 = h2(e13)) <= ((e21 = op2(e21, e20))), 61.66/62.13 inference('s_sup+', [status(thm)], ['691', '692'])). 61.66/62.13 tff('1404', plain, (e21 = h1(e10)) <= ((h1(e11) = e22)), 61.66/62.13 inference('s_sup+', [status(thm)], ['1343', '1344'])). 61.66/62.13 tff('1405', plain, 61.66/62.13 (op2(h1(e10), e20) != h1(e10)) 61.66/62.13 <= (~ (op2(h1(e10), e20) = h1(op1(e10, e12))) & (e10 = op1(e10, e12))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1071', '1072'])). 61.66/62.13 tff('1406', plain, 61.66/62.13 (op2(e21, e20) != e21) 61.66/62.13 <= (~ (op2(h1(e10), e20) = h1(op1(e10, e12))) & 61.66/62.13 (e10 = op1(e10, e12)) & 61.66/62.13 (h1(e11) = e22)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1404', '1405'])). 61.66/62.13 tff('1407', plain, op2(e21, e20) = h2(e13), 61.66/62.13 inference('demod', [status(thm)], ['149', '155'])). 61.66/62.13 tff('1408', plain, 61.66/62.13 (h2(e13) != e21) 61.66/62.13 <= (~ (op2(h1(e10), e20) = h1(op1(e10, e12))) & 61.66/62.13 (e10 = op1(e10, e12)) & 61.66/62.13 (h1(e11) = e22)), 61.66/62.13 inference('demod', [status(thm)], ['1406', '1407'])). 61.66/62.13 tff('1409', plain, 61.66/62.13 (e21 != e21) 61.66/62.13 <= (~ (op2(h1(e10), e20) = h1(op1(e10, e12))) & 61.66/62.13 (e10 = op1(e10, e12)) & 61.66/62.13 (e21 = op2(e21, e20)) & 61.66/62.13 (h1(e11) = e22)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1403', '1408'])). 61.66/62.13 tff('1410', plain, 61.66/62.13 (op2(h1(e10), e20) = h1(op1(e10, e12))) | ~ (h1(e11) = e22) | 61.66/62.13 ~ (e10 = op1(e10, e12)) | ~ (e21 = op2(e21, e20)), 61.66/62.13 inference('simplify', [status(thm)], ['1409'])). 61.66/62.13 tff('1411', plain, 61.66/62.13 (op2(e23, e20) = e20 61.66/62.13 | e21 = op2(e23, e20) 61.66/62.13 | op2(e23, e20) = e23 61.66/62.13 | op2(e23, e20) = e22), 61.66/62.13 inference('cnf', [status(esa)], [ax3])). 61.66/62.13 tff('1412', plain, 61.66/62.13 (op2(e23, e20) = e20) | (e23 = op2(e23, e20)) | (op2(e23, e20) = e21) | 61.66/62.13 (e22 = op2(e23, e20)), inference('split', [status(esa)], ['1411'])). 61.66/62.13 tff('1413', plain, 61.66/62.13 (e21 = op2(e21, e23) 61.66/62.13 | e23 = op2(e21, e23) 61.66/62.13 | e22 = op2(e21, e23) 61.66/62.13 | e20 = op2(e21, e23)), 61.66/62.13 inference('cnf', [status(esa)], [ax3])). 61.66/62.13 tff('1414', plain, 61.66/62.13 (op2(e21, e23) = e23) | (op2(e21, e23) = e21) | (op2(e21, e23) = e22) | 61.66/62.13 (op2(e21, e23) = e20), inference('split', [status(esa)], ['1413'])). 61.66/62.13 tff('1415', plain, (e21 = h4(e11)) <= ((op2(e23, e23) = e21)), 61.66/62.13 inference('s_sup+', [status(thm)], ['622', '623'])). 61.66/62.13 tff('1416', plain, (op2(e23, e20) = e21) <= ((op2(e23, e20) = e21)), 61.66/62.13 inference('split', [status(esa)], ['165'])). 61.66/62.13 tff('1417', plain, op2(e23, e20) != h4(e11), 61.66/62.13 inference('demod', [status(thm)], ['913', '914'])). 61.66/62.13 tff('1418', plain, (e21 != h4(e11)) <= ((op2(e23, e20) = e21)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1416', '1417'])). 61.66/62.13 tff('1419', plain, 61.66/62.13 (e21 != e21) <= ((op2(e23, e23) = e21) & (op2(e23, e20) = e21)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1415', '1418'])). 61.66/62.13 tff('1420', plain, ~ (op2(e23, e20) = e21) | ~ (op2(e23, e23) = e21), 61.66/62.13 inference('simplify', [status(thm)], ['1419'])). 61.66/62.13 tff('1421', plain, 61.66/62.13 (h1(op1(e10, e10)) != op2(h1(e10), h1(e10)) 61.66/62.13 | op2(h1(e10), h1(e13)) != h1(op1(e10, e13)) 61.66/62.13 | h1(op1(e11, e11)) != op2(h1(e11), h1(e11)) 61.66/62.13 | op2(h1(e12), h1(e10)) != h1(op1(e12, e10)) 61.66/62.13 | op2(h1(e12), h1(e11)) != h1(op1(e12, e11)) 61.66/62.13 | op2(h1(e12), h1(e12)) != h1(op1(e12, e12)) 61.66/62.13 | op2(h1(e12), h1(e13)) != h1(op1(e12, e13)) 61.66/62.13 | h1(op1(e13, e10)) != op2(h1(e13), h1(e10)) 61.66/62.13 | op2(h1(e13), h1(e11)) != h1(op1(e13, e11)) 61.66/62.13 | h1(e12) != e20 61.66/62.13 | h1(e10) != e21 61.66/62.13 | h1(e11) != e22 61.66/62.13 | e23 != h1(e13) 61.66/62.13 | h1(op1(e13, e13)) != op2(h1(e13), h1(e13)) 61.66/62.13 | h1(op1(e13, e12)) != op2(h1(e13), h1(e12)) 61.66/62.13 | h1(op1(e11, e13)) != op2(h1(e11), h1(e13)) 61.66/62.13 | h1(op1(e11, e12)) != op2(h1(e11), h1(e12)) 61.66/62.13 | op2(h1(e11), h1(e10)) != h1(op1(e11, e10)) 61.66/62.13 | op2(h1(e10), h1(e12)) != h1(op1(e10, e12)) 61.66/62.13 | h1(op1(e10, e11)) != op2(h1(e10), h1(e11))), 61.66/62.13 inference('cnf', [status(esa)], [zf_stmt_5])). 61.66/62.13 tff('1422', plain, e10 = op1(e11, e11), 61.66/62.13 inference('demod', [status(thm)], ['4', '5', '6'])). 61.66/62.13 tff('1423', plain, h1(e10) = op2(h1(e11), h1(e11)), 61.66/62.13 inference('demod', [status(thm)], ['929', '930', '931'])). 61.66/62.13 tff('1424', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.13 tff('1425', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.13 tff('1426', plain, h1(e13) = op2(e20, h1(e11)), 61.66/62.13 inference('demod', [status(thm)], ['52', '53'])). 61.66/62.13 tff('1427', plain, op1(e12, e11) = e13, 61.66/62.13 inference('demod', [status(thm)], ['10', '11'])). 61.66/62.13 tff('1428', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.13 tff('1429', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.13 tff('1430', plain, h1(e11) = op2(e20, e20), 61.66/62.13 inference('cnf', [status(esa)], [ax14])). 61.66/62.13 tff('1431', plain, e11 = op1(e12, e12), 61.66/62.13 inference('cnf', [status(esa)], [ax12])). 61.66/62.13 tff('1432', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.13 tff('1433', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.13 tff('1434', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.13 tff('1435', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.13 tff('1436', plain, e20 = h1(e12), inference('cnf', [status(esa)], [ax14])). 61.66/62.13 tff('1437', plain, 61.66/62.13 (h1(op1(e10, e10)) != op2(h1(e10), h1(e10)) 61.66/62.13 | op2(h1(e10), h1(e13)) != h1(op1(e10, e13)) 61.66/62.13 | h1(e10) != h1(e10) 61.66/62.13 | op2(e20, h1(e10)) != h1(op1(e12, e10)) 61.66/62.13 | h1(e13) != h1(e13) 61.66/62.13 | h1(e11) != h1(e11) 61.66/62.13 | op2(e20, h1(e13)) != h1(op1(e12, e13)) 61.66/62.13 | h1(op1(e13, e10)) != op2(h1(e13), h1(e10)) 61.66/62.13 | op2(h1(e13), h1(e11)) != h1(op1(e13, e11)) 61.66/62.13 | e20 != e20 61.66/62.13 | h1(e10) != e21 61.66/62.13 | h1(e11) != e22 61.66/62.13 | e23 != h1(e13) 61.66/62.13 | h1(op1(e13, e13)) != op2(h1(e13), h1(e13)) 61.66/62.13 | h1(op1(e13, e12)) != op2(h1(e13), e20) 61.66/62.13 | h1(op1(e11, e13)) != op2(h1(e11), h1(e13)) 61.66/62.13 | h1(op1(e11, e12)) != op2(h1(e11), e20) 61.66/62.13 | op2(h1(e11), h1(e10)) != h1(op1(e11, e10)) 61.66/62.13 | op2(h1(e10), e20) != h1(op1(e10, e12)) 61.66/62.13 | h1(op1(e10, e11)) != op2(h1(e10), h1(e11))), 61.66/62.13 inference('demod', [status(thm)], 61.66/62.13 ['1421', '1422', '1423', '1424', '1425', '1426', '1427', 61.66/62.13 '1428', '1429', '1430', '1431', '1432', '1433', '1434', 61.66/62.13 '1435', '1436'])). 61.66/62.13 tff('1438', plain, 61.66/62.13 (h1(op1(e10, e11)) != op2(h1(e10), h1(e11)) 61.66/62.13 | op2(h1(e10), e20) != h1(op1(e10, e12)) 61.66/62.13 | op2(h1(e11), h1(e10)) != h1(op1(e11, e10)) 61.66/62.13 | h1(op1(e11, e12)) != op2(h1(e11), e20) 61.66/62.13 | h1(op1(e11, e13)) != op2(h1(e11), h1(e13)) 61.66/62.13 | h1(op1(e13, e12)) != op2(h1(e13), e20) 61.66/62.13 | h1(op1(e13, e13)) != op2(h1(e13), h1(e13)) 61.66/62.13 | e23 != h1(e13) 61.66/62.13 | h1(e11) != e22 61.66/62.13 | h1(e10) != e21 61.66/62.13 | op2(h1(e13), h1(e11)) != h1(op1(e13, e11)) 61.66/62.13 | h1(op1(e13, e10)) != op2(h1(e13), h1(e10)) 61.66/62.13 | op2(e20, h1(e13)) != h1(op1(e12, e13)) 61.66/62.13 | op2(e20, h1(e10)) != h1(op1(e12, e10)) 61.66/62.13 | op2(h1(e10), h1(e13)) != h1(op1(e10, e13)) 61.66/62.13 | h1(op1(e10, e10)) != op2(h1(e10), h1(e10))), 61.66/62.13 inference('simplify', [status(thm)], ['1437'])). 61.66/62.13 tff('1439', plain, 61.66/62.13 ~ (h1(e11) = e22) | ~ (h1(op1(e11, e13)) = op2(h1(e11), h1(e13))) | 61.66/62.13 ~ (h1(op1(e13, e10)) = op2(h1(e13), h1(e10))) | 61.66/62.13 ~ (op2(h1(e10), e20) = h1(op1(e10, e12))) | 61.66/62.13 ~ (h1(op1(e10, e10)) = op2(h1(e10), h1(e10))) | 61.66/62.13 ~ (op2(e20, h1(e13)) = h1(op1(e12, e13))) | 61.66/62.13 ~ (op2(h1(e11), h1(e10)) = h1(op1(e11, e10))) | 61.66/62.13 ~ (op2(h1(e13), h1(e11)) = h1(op1(e13, e11))) | 61.66/62.13 ~ (h1(op1(e13, e13)) = op2(h1(e13), h1(e13))) | 61.66/62.13 ~ (op2(e20, h1(e10)) = h1(op1(e12, e10))) | ~ (e23 = h1(e13)) | 61.66/62.13 ~ (h1(op1(e11, e12)) = op2(h1(e11), e20)) | 61.66/62.13 ~ (h1(op1(e10, e11)) = op2(h1(e10), h1(e11))) | 61.66/62.13 ~ (h1(op1(e13, e12)) = op2(h1(e13), e20)) | ~ (h1(e10) = e21) | 61.66/62.13 ~ (op2(h1(e10), h1(e13)) = h1(op1(e10, e13))), 61.66/62.13 inference('split', [status(esa)], ['1438'])). 61.66/62.13 tff('1440', plain, (op2(e21, e22) = e22) <= ((op2(e21, e22) = e22)), 61.66/62.13 inference('split', [status(esa)], ['241'])). 61.66/62.13 tff('1441', plain, (e21 = h1(e10)) <= ((h1(e11) = e22)), 61.66/62.13 inference('s_sup+', [status(thm)], ['1343', '1344'])). 61.66/62.13 tff('1442', plain, 61.66/62.13 (h1(e11) != op2(h1(e10), h1(e11))) 61.66/62.13 <= (~ (h1(op1(e10, e11)) = op2(h1(e10), h1(e11))) & 61.66/62.13 (e11 = op1(e10, e11))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1041', '1059'])). 61.66/62.13 tff('1443', plain, 61.66/62.13 (h1(e11) != op2(e21, h1(e11))) 61.66/62.13 <= (~ (h1(op1(e10, e11)) = op2(h1(e10), h1(e11))) & 61.66/62.13 (e11 = op1(e10, e11)) & 61.66/62.13 (h1(e11) = e22)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1441', '1442'])). 61.66/62.13 tff('1444', plain, (e22 = h1(e11)) <= ((h1(e11) = e22)), 61.66/62.13 inference('split', [status(esa)], ['50'])). 61.66/62.13 tff('1445', plain, (e22 = h1(e11)) <= ((h1(e11) = e22)), 61.66/62.13 inference('split', [status(esa)], ['50'])). 61.66/62.13 tff('1446', plain, 61.66/62.13 (e22 != op2(e21, e22)) 61.66/62.13 <= (~ (h1(op1(e10, e11)) = op2(h1(e10), h1(e11))) & 61.66/62.13 (e11 = op1(e10, e11)) & 61.66/62.13 (h1(e11) = e22)), 61.66/62.13 inference('demod', [status(thm)], ['1443', '1444', '1445'])). 61.66/62.13 tff('1447', plain, 61.66/62.13 (e22 != e22) 61.66/62.13 <= (~ (h1(op1(e10, e11)) = op2(h1(e10), h1(e11))) & 61.66/62.13 (e11 = op1(e10, e11)) & 61.66/62.13 (op2(e21, e22) = e22) & 61.66/62.13 (h1(e11) = e22)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1440', '1446'])). 61.66/62.13 tff('1448', plain, 61.66/62.13 (h1(op1(e10, e11)) = op2(h1(e10), h1(e11))) | ~ (e11 = op1(e10, e11)) | 61.66/62.13 ~ (op2(e21, e22) = e22) | ~ (h1(e11) = e22), 61.66/62.13 inference('simplify', [status(thm)], ['1447'])). 61.66/62.13 tff('1449', plain, 61.66/62.13 (op2(e21, e22) = e22 61.66/62.13 | e22 = op2(e22, e22) 61.66/62.13 | op2(e23, e22) = e22 61.66/62.13 | op2(e20, e22) = e22), 61.66/62.13 inference('cnf', [status(esa)], [ax4])). 61.66/62.13 tff('1450', plain, 61.66/62.13 (op2(e21, e22) = e22) | (op2(e20, e22) = e22) | (op2(e23, e22) = e22) | 61.66/62.13 (e22 = op2(e22, e22)), inference('split', [status(esa)], ['1449'])). 61.66/62.13 tff('1451', plain, (e20 = op2(e22, e20)) <= ((e20 = op2(e22, e20))), 61.66/62.13 inference('split', [status(esa)], ['294'])). 61.66/62.13 tff('1452', plain, (e22 = h1(e11)) <= ((h1(e11) = e22)), 61.66/62.13 inference('split', [status(esa)], ['50'])). 61.66/62.13 tff('1453', plain, 61.66/62.13 (e20 != op2(h1(e11), e20)) 61.66/62.13 <= (~ (h1(op1(e11, e12)) = op2(h1(e11), e20)) & (op1(e11, e12) = e12)), 61.66/62.13 inference('demod', [status(thm)], ['1116', '1117'])). 61.66/62.13 tff('1454', plain, 61.66/62.13 (e20 != op2(e22, e20)) 61.66/62.13 <= (~ (h1(op1(e11, e12)) = op2(h1(e11), e20)) & 61.66/62.13 (h1(e11) = e22) & 61.66/62.13 (op1(e11, e12) = e12)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1452', '1453'])). 61.66/62.13 tff('1455', plain, 61.66/62.13 (e20 != e20) 61.66/62.13 <= (~ (h1(op1(e11, e12)) = op2(h1(e11), e20)) & 61.66/62.13 (e20 = op2(e22, e20)) & 61.66/62.13 (h1(e11) = e22) & 61.66/62.13 (op1(e11, e12) = e12)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1451', '1454'])). 61.66/62.13 tff('1456', plain, 61.66/62.13 (h1(op1(e11, e12)) = op2(h1(e11), e20)) | ~ (h1(e11) = e22) | 61.66/62.13 ~ (op1(e11, e12) = e12) | ~ (e20 = op2(e22, e20)), 61.66/62.13 inference('simplify', [status(thm)], ['1455'])). 61.66/62.13 tff('1457', plain, (e20 = op2(e22, e20)) <= ((e20 = op2(e22, e20))), 61.66/62.13 inference('split', [status(esa)], ['294'])). 61.66/62.13 tff('1458', plain, (op2(e23, e20) = e20) <= ((op2(e23, e20) = e20)), 61.66/62.13 inference('split', [status(esa)], ['294'])). 61.66/62.13 tff('1459', plain, op2(e22, e20) != op2(e23, e20), 61.66/62.13 inference('cnf', [status(esa)], [ax6])). 61.66/62.13 tff('1460', plain, (op2(e22, e20) != e20) <= ((op2(e23, e20) = e20)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1458', '1459'])). 61.66/62.13 tff('1461', plain, 61.66/62.13 (e20 != e20) <= ((op2(e23, e20) = e20) & (e20 = op2(e22, e20))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1457', '1460'])). 61.66/62.13 tff('1462', plain, ~ (e20 = op2(e22, e20)) | ~ (op2(e23, e20) = e20), 61.66/62.13 inference('simplify', [status(thm)], ['1461'])). 61.66/62.13 tff('1463', plain, (op2(e20, e21) = e21) <= ((op2(e20, e21) = e21)), 61.66/62.13 inference('split', [status(esa)], ['356'])). 61.66/62.13 tff('1464', plain, (e22 = op2(e20, e20)) <= ((e22 = op2(e20, e20))), 61.66/62.13 inference('split', [status(esa)], ['129'])). 61.66/62.13 tff('1465', plain, h1(e11) = op2(e20, e20), 61.66/62.13 inference('cnf', [status(esa)], [ax14])). 61.66/62.13 tff('1466', plain, (h1(e11) = e22) <= ((e22 = op2(e20, e20))), 61.66/62.13 inference('s_sup+', [status(thm)], ['1464', '1465'])). 61.66/62.13 tff('1467', plain, h1(e10) = op2(h1(e11), h1(e11)), 61.66/62.13 inference('demod', [status(thm)], ['929', '930', '931'])). 61.66/62.13 tff('1468', plain, (h1(e10) = op2(e22, e22)) <= ((e22 = op2(e20, e20))), 61.66/62.13 inference('s_sup+', [status(thm)], ['1466', '1467'])). 61.66/62.13 tff('1469', plain, e21 = op2(e22, e22), 61.66/62.13 inference('cnf', [status(esa)], [ax13])). 61.66/62.13 tff('1470', plain, (e21 = h1(e10)) <= ((e22 = op2(e20, e20))), 61.66/62.13 inference('s_sup+', [status(thm)], ['1468', '1469'])). 61.66/62.13 tff('1471', plain, 61.66/62.13 (op2(e20, h1(e10)) != h1(e10)) 61.66/62.13 <= (~ (op2(e20, h1(e10)) = h1(op1(e12, e10))) & (e10 = op1(e12, e10))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1014', '1032'])). 61.66/62.13 tff('1472', plain, 61.66/62.13 (op2(e20, e21) != e21) 61.66/62.13 <= (~ (op2(e20, h1(e10)) = h1(op1(e12, e10))) & 61.66/62.13 (e10 = op1(e12, e10)) & 61.66/62.13 (e22 = op2(e20, e20))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1470', '1471'])). 61.66/62.13 tff('1473', plain, 61.66/62.13 (e21 != e21) 61.66/62.13 <= (~ (op2(e20, h1(e10)) = h1(op1(e12, e10))) & 61.66/62.13 (op2(e20, e21) = e21) & 61.66/62.13 (e10 = op1(e12, e10)) & 61.66/62.13 (e22 = op2(e20, e20))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1463', '1472'])). 61.66/62.13 tff('1474', plain, 61.66/62.13 (op2(e20, h1(e10)) = h1(op1(e12, e10))) | ~ (e10 = op1(e12, e10)) | 61.66/62.13 ~ (e22 = op2(e20, e20)) | ~ (op2(e20, e21) = e21), 61.66/62.13 inference('simplify', [status(thm)], ['1473'])). 61.66/62.13 tff('1475', plain, (op2(e20, e21) = e21) <= ((op2(e20, e21) = e21)), 61.66/62.13 inference('split', [status(esa)], ['356'])). 61.66/62.13 tff('1476', plain, (op2(e20, e23) = e21) <= ((op2(e20, e23) = e21)), 61.66/62.13 inference('split', [status(esa)], ['356'])). 61.66/62.13 tff('1477', plain, op2(e20, e21) != op2(e20, e23), 61.66/62.13 inference('cnf', [status(esa)], [ax6])). 61.66/62.13 tff('1478', plain, (op2(e20, e21) != e21) <= ((op2(e20, e23) = e21)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1476', '1477'])). 61.66/62.13 tff('1479', plain, 61.66/62.13 (e21 != e21) <= ((op2(e20, e23) = e21) & (op2(e20, e21) = e21)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1475', '1478'])). 61.66/62.13 tff('1480', plain, ~ (op2(e20, e23) = e21) | ~ (op2(e20, e21) = e21), 61.66/62.13 inference('simplify', [status(thm)], ['1479'])). 61.66/62.13 tff('1481', plain, (e22 = op2(e23, e23)) <= ((e22 = op2(e23, e23))), 61.66/62.13 inference('split', [status(esa)], ['272'])). 61.66/62.13 tff('1482', plain, op2(e23, e23) = h4(e11), 61.66/62.13 inference('cnf', [status(esa)], [ax17])). 61.66/62.13 tff('1483', plain, (e22 = h4(e11)) <= ((e22 = op2(e23, e23))), 61.66/62.13 inference('s_sup+', [status(thm)], ['1481', '1482'])). 61.66/62.13 tff('1484', plain, (h4(e11) != e22) <= ((op2(e23, e21) = e22)), 61.66/62.13 inference('s_sup-', [status(thm)], ['405', '408'])). 61.66/62.13 tff('1485', plain, 61.66/62.13 (e22 != e22) <= ((op2(e23, e21) = e22) & (e22 = op2(e23, e23))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1483', '1484'])). 61.66/62.13 tff('1486', plain, ~ (e22 = op2(e23, e23)) | ~ (op2(e23, e21) = e22), 61.66/62.13 inference('simplify', [status(thm)], ['1485'])). 61.66/62.13 tff('1487', plain, (op2(e23, e22) = e22) <= ((op2(e23, e22) = e22)), 61.66/62.13 inference('split', [status(esa)], ['272'])). 61.66/62.13 tff('1488', plain, (op2(e23, e21) = e22) <= ((op2(e23, e21) = e22)), 61.66/62.13 inference('split', [status(esa)], ['272'])). 61.66/62.13 tff('1489', plain, op2(e23, e22) != op2(e23, e21), 61.66/62.13 inference('cnf', [status(esa)], [ax6])). 61.66/62.13 tff('1490', plain, (op2(e23, e22) != e22) <= ((op2(e23, e21) = e22)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1488', '1489'])). 61.66/62.13 tff('1491', plain, 61.66/62.13 (e22 != e22) <= ((op2(e23, e22) = e22) & (op2(e23, e21) = e22)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1487', '1490'])). 61.66/62.13 tff('1492', plain, ~ (op2(e23, e22) = e22) | ~ (op2(e23, e21) = e22), 61.66/62.13 inference('simplify', [status(thm)], ['1491'])). 61.66/62.13 tff('1493', plain, (h1(e13) = op2(e20, e22)) <= ((h1(e11) = e22)), 61.66/62.13 inference('s_sup+', [status(thm)], ['51', '54'])). 61.66/62.13 tff('1494', plain, (op2(e20, e22) = e22) <= ((op2(e20, e22) = e22)), 61.66/62.13 inference('split', [status(esa)], ['675'])). 61.66/62.13 tff('1495', plain, 61.66/62.13 (h1(e13) = e22) <= ((h1(e11) = e22) & (op2(e20, e22) = e22)), 61.66/62.13 inference('s_sup+', [status(thm)], ['1493', '1494'])). 61.66/62.13 tff('1496', plain, (h1(e13) = op2(e20, e22)) <= ((h1(e11) = e22)), 61.66/62.13 inference('s_sup+', [status(thm)], ['51', '54'])). 61.66/62.13 tff('1497', plain, op2(e20, e20) != op2(e20, e22), 61.66/62.13 inference('cnf', [status(esa)], [ax6])). 61.66/62.13 tff('1498', plain, h1(e11) = op2(e20, e20), 61.66/62.13 inference('cnf', [status(esa)], [ax14])). 61.66/62.13 tff('1499', plain, h1(e11) != op2(e20, e22), 61.66/62.13 inference('demod', [status(thm)], ['1497', '1498'])). 61.66/62.13 tff('1500', plain, (h1(e11) != h1(e13)) <= ((h1(e11) = e22)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1496', '1499'])). 61.66/62.13 tff('1501', plain, (e22 = h1(e11)) <= ((h1(e11) = e22)), 61.66/62.13 inference('split', [status(esa)], ['50'])). 61.66/62.13 tff('1502', plain, (e22 != h1(e13)) <= ((h1(e11) = e22)), 61.66/62.13 inference('demod', [status(thm)], ['1500', '1501'])). 61.66/62.13 tff('1503', plain, ~ (op2(e20, e22) = e22) | ~ (h1(e11) = e22), 61.66/62.13 inference('simplify_reflect-', [status(thm)], ['1495', '1502'])). 61.66/62.13 tff('1504', plain, (e21 = h1(e10)) <= ((h1(e11) = e22)), 61.66/62.13 inference('s_sup+', [status(thm)], ['1343', '1344'])). 61.66/62.13 tff('1505', plain, (h1(e10) != e21) <= (~ (h1(e10) = e21)), 61.66/62.13 inference('split', [status(esa)], ['974'])). 61.66/62.13 tff('1506', plain, (e21 != e21) <= (~ (h1(e10) = e21) & (h1(e11) = e22)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1504', '1505'])). 61.66/62.13 tff('1507', plain, (h1(e10) = e21) | ~ (h1(e11) = e22), 61.66/62.13 inference('simplify', [status(thm)], ['1506'])). 61.66/62.13 tff('1508', plain, (e22 = h1(e11)) <= ((h1(e11) = e22)), 61.66/62.13 inference('split', [status(esa)], ['50'])). 61.66/62.13 tff('1509', plain, (e20 = op2(e20, e20) | ~ zip_tseitin_32), 61.66/62.13 inference('cnf', [status(esa)], [zf_stmt_16])). 61.66/62.13 tff('1510', plain, (e20 = op2(e20, e20)) <= ((e20 = op2(e20, e20))), 61.66/62.13 inference('split', [status(esa)], ['1509'])). 61.66/62.13 tff('1511', plain, h1(e11) = op2(e20, e20), 61.66/62.13 inference('cnf', [status(esa)], [ax14])). 61.66/62.13 tff('1512', plain, (h1(e11) = e20) <= ((e20 = op2(e20, e20))), 61.66/62.13 inference('s_sup+', [status(thm)], ['1510', '1511'])). 61.66/62.13 tff('1513', plain, (e22 = e20) <= ((h1(e11) = e22) & (e20 = op2(e20, e20))), 61.66/62.13 inference('s_sup+', [status(thm)], ['1508', '1512'])). 61.66/62.13 tff('1514', plain, e22 != e20, inference('cnf', [status(esa)], [ax8])). 61.66/62.13 tff('1515', plain, ~ (e20 = op2(e20, e20)) | ~ (h1(e11) = e22), 61.66/62.13 inference('simplify_reflect-', [status(thm)], ['1513', '1514'])). 61.66/62.13 tff('1516', plain, (e22 = h1(e11)) <= ((h1(e11) = e22)), 61.66/62.13 inference('split', [status(esa)], ['50'])). 61.66/62.13 tff('1517', plain, (e22 = op2(e23, e20)) <= ((e22 = op2(e23, e20))), 61.66/62.13 inference('split', [status(esa)], ['272'])). 61.66/62.13 tff('1518', plain, op2(e23, e20) != h1(e11), 61.66/62.13 inference('demod', [status(thm)], ['1159', '1160'])). 61.66/62.13 tff('1519', plain, (e22 != h1(e11)) <= ((e22 = op2(e23, e20))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1517', '1518'])). 61.66/62.13 tff('1520', plain, (e22 != e22) <= ((h1(e11) = e22) & (e22 = op2(e23, e20))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1516', '1519'])). 61.66/62.13 tff('1521', plain, ~ (e22 = op2(e23, e20)) | ~ (h1(e11) = e22), 61.66/62.13 inference('simplify', [status(thm)], ['1520'])). 61.66/62.13 tff('1522', plain, (e22 = h1(e11)) <= ((h1(e11) = e22)), 61.66/62.13 inference('split', [status(esa)], ['50'])). 61.66/62.13 tff('1523', plain, 61.66/62.13 (op2(e20, e22) != e20 | op2(e20, e20) != e22 | ~ zip_tseitin_32), 61.66/62.13 inference('cnf', [status(esa)], [zf_stmt_16])). 61.66/62.13 tff('1524', plain, (op2(e20, e20) != e22) <= (~ (e22 = op2(e20, e20))), 61.66/62.13 inference('split', [status(esa)], ['1523'])). 61.66/62.13 tff('1525', plain, h1(e11) = op2(e20, e20), 61.66/62.13 inference('cnf', [status(esa)], [ax14])). 61.66/62.13 tff('1526', plain, (h1(e11) != e22) <= (~ (e22 = op2(e20, e20))), 61.66/62.13 inference('demod', [status(thm)], ['1524', '1525'])). 61.66/62.13 tff('1527', plain, 61.66/62.13 (e22 != e22) <= (~ (e22 = op2(e20, e20)) & (h1(e11) = e22)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1522', '1526'])). 61.66/62.13 tff('1528', plain, ~ (h1(e11) = e22) | (e22 = op2(e20, e20)), 61.66/62.13 inference('simplify', [status(thm)], ['1527'])). 61.66/62.13 tff('1529', plain, (e21 = h1(e10)) <= ((h1(e11) = e22)), 61.66/62.13 inference('s_sup+', [status(thm)], ['1343', '1344'])). 61.66/62.13 tff('1530', plain, 61.66/62.13 (e20 != op2(h1(e10), h1(e10))) 61.66/62.13 <= (~ (h1(op1(e10, e10)) = op2(h1(e10), h1(e10))) & 61.66/62.13 (e12 = op1(e10, e10))), 61.66/62.13 inference('demod', [status(thm)], ['1126', '1127'])). 61.66/62.13 tff('1531', plain, 61.66/62.13 (e20 != op2(e21, e21)) 61.66/62.13 <= (~ (h1(op1(e10, e10)) = op2(h1(e10), h1(e10))) & 61.66/62.13 (e12 = op1(e10, e10)) & 61.66/62.13 (h1(e11) = e22)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1529', '1530'])). 61.66/62.13 tff('1532', plain, op2(e21, e21) = e20, 61.66/62.13 inference('demod', [status(thm)], ['150', '151', '152'])). 61.66/62.13 tff('1533', plain, 61.66/62.13 (e20 != e20) 61.66/62.13 <= (~ (h1(op1(e10, e10)) = op2(h1(e10), h1(e10))) & 61.66/62.13 (e12 = op1(e10, e10)) & 61.66/62.13 (h1(e11) = e22)), 61.66/62.13 inference('demod', [status(thm)], ['1531', '1532'])). 61.66/62.13 tff('1534', plain, 61.66/62.13 (h1(op1(e10, e10)) = op2(h1(e10), h1(e10))) | ~ (e12 = op1(e10, e10)) | 61.66/62.13 ~ (h1(e11) = e22), inference('simplify', [status(thm)], ['1533'])). 61.66/62.13 tff('1535', plain, 61.66/62.13 (e10 = op1(e13, e11) 61.66/62.13 | e10 = op1(e13, e12) 61.66/62.13 | op1(e13, e13) = e10 61.66/62.13 | op1(e13, e10) = e10), 61.66/62.13 inference('cnf', [status(esa)], [ax2])). 61.66/62.13 tff('1536', plain, 61.66/62.13 (op1(e13, e10) = e10) | (op1(e13, e13) = e10) | (op1(e13, e12) = e10) | 61.66/62.13 (op1(e13, e11) = e10), inference('split', [status(esa)], ['1535'])). 61.66/62.13 tff('1537', plain, 61.66/62.13 (e13 = op1(e13, e11) 61.66/62.13 | op1(e13, e11) = e12 61.66/62.13 | op1(e13, e11) = e11 61.66/62.13 | op1(e13, e11) = e10), 61.66/62.13 inference('cnf', [status(esa)], [ax1])). 61.66/62.13 tff('1538', plain, (op1(e13, e11) = e10) <= ((op1(e13, e11) = e10)), 61.66/62.13 inference('split', [status(esa)], ['1537'])). 61.66/62.13 tff('1539', plain, e10 != op1(e13, e11), 61.66/62.13 inference('demod', [status(thm)], ['169', '170'])). 61.66/62.13 tff('1540', plain, ~ (op1(e13, e11) = e10), 61.66/62.13 inference('simplify_reflect-', [status(thm)], ['1538', '1539'])). 61.66/62.13 tff('1541', plain, 61.66/62.13 (op1(e10, e12) = e13 61.66/62.13 | op1(e13, e12) = e13 61.66/62.13 | op1(e12, e12) = e13 61.66/62.13 | e13 = op1(e11, e12)), 61.66/62.13 inference('cnf', [status(esa)], [ax2])). 61.66/62.13 tff('1542', plain, 61.66/62.13 (op1(e13, e12) = e13) | (e13 = op1(e11, e12)) | (op1(e10, e12) = e13) | 61.66/62.13 (op1(e12, e12) = e13), inference('split', [status(esa)], ['1541'])). 61.66/62.13 tff('1543', plain, 61.66/62.13 (op1(e11, e11) = e11 61.66/62.13 | e11 = op1(e11, e13) 61.66/62.13 | e11 = op1(e11, e12) 61.66/62.13 | e11 = op1(e11, e10)), 61.66/62.13 inference('cnf', [status(esa)], [ax2])). 61.66/62.13 tff('1544', plain, e10 = op1(e11, e11), 61.66/62.13 inference('demod', [status(thm)], ['4', '5', '6'])). 61.66/62.13 tff('1545', plain, 61.66/62.13 (e10 = e11 61.66/62.13 | e11 = op1(e11, e13) 61.66/62.13 | e11 = op1(e11, e12) 61.66/62.13 | e11 = op1(e11, e10)), 61.66/62.13 inference('demod', [status(thm)], ['1543', '1544'])). 61.66/62.13 tff('1546', plain, op1(e12, e12) != op1(e11, e12), 61.66/62.13 inference('cnf', [status(esa)], [ax5])). 61.66/62.13 tff('1547', plain, e11 = op1(e12, e12), 61.66/62.13 inference('cnf', [status(esa)], [ax12])). 61.66/62.13 tff('1548', plain, e11 != op1(e11, e12), 61.66/62.13 inference('demod', [status(thm)], ['1546', '1547'])). 61.66/62.13 tff('1549', plain, e10 != e11, inference('cnf', [status(esa)], [ax7])). 61.66/62.13 tff('1550', plain, (e11 = op1(e11, e13) | e11 = op1(e11, e10)), 61.66/62.13 inference('simplify_reflect-', [status(thm)], ['1545', '1548', '1549'])). 61.66/62.13 tff('1551', plain, (op1(e11, e10) = e11) | (op1(e11, e13) = e11), 61.66/62.13 inference('split', [status(esa)], ['1550'])). 61.66/62.13 tff('1552', plain, 61.66/62.13 (e11 = op1(e10, e13)) | (op1(e10, e13) = e13) | (op1(e10, e13) = e10) | 61.66/62.13 (op1(e10, e13) = e12), inference('split', [status(esa)], ['0'])). 61.66/62.13 tff('1553', plain, (op1(e13, e12) = e10) <= ((op1(e13, e12) = e10)), 61.66/62.13 inference('split', [status(esa)], ['320'])). 61.66/62.13 tff('1554', plain, (e10 = op1(e10, e12)) <= ((e10 = op1(e10, e12))), 61.66/62.13 inference('split', [status(esa)], ['215'])). 61.66/62.13 tff('1555', plain, op1(e13, e12) != op1(e10, e12), 61.66/62.13 inference('cnf', [status(esa)], [ax5])). 61.66/62.13 tff('1556', plain, (op1(e13, e12) != e10) <= ((e10 = op1(e10, e12))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1554', '1555'])). 61.66/62.13 tff('1557', plain, 61.66/62.13 (e10 != e10) <= ((e10 = op1(e10, e12)) & (op1(e13, e12) = e10)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1553', '1556'])). 61.66/62.13 tff('1558', plain, ~ (op1(e13, e12) = e10) | ~ (e10 = op1(e10, e12)), 61.66/62.13 inference('simplify', [status(thm)], ['1557'])). 61.66/62.13 tff('1559', plain, (e10 = op1(e10, e12)) <= ((e10 = op1(e10, e12))), 61.66/62.13 inference('split', [status(esa)], ['215'])). 61.66/62.13 tff('1560', plain, 61.66/62.13 (e12 = op1(e10, e12) 61.66/62.13 | op1(e10, e12) = e13 61.66/62.13 | e11 = op1(e10, e12) 61.66/62.13 | op1(e10, e12) = e10), 61.66/62.13 inference('cnf', [status(esa)], [ax1])). 61.66/62.13 tff('1561', plain, op1(e10, e12) != op1(e12, e12), 61.66/62.13 inference('cnf', [status(esa)], [ax5])). 61.66/62.13 tff('1562', plain, e11 = op1(e12, e12), 61.66/62.13 inference('cnf', [status(esa)], [ax12])). 61.66/62.13 tff('1563', plain, op1(e10, e12) != e11, 61.66/62.13 inference('demod', [status(thm)], ['1561', '1562'])). 61.66/62.13 tff('1564', plain, 61.66/62.13 (e12 = op1(e10, e12) | op1(e10, e12) = e13 | op1(e10, e12) = e10), 61.66/62.13 inference('simplify_reflect-', [status(thm)], ['1560', '1563'])). 61.66/62.13 tff('1565', plain, (op1(e10, e12) = e13) <= ((op1(e10, e12) = e13)), 61.66/62.13 inference('split', [status(esa)], ['1564'])). 61.66/62.13 tff('1566', plain, 61.66/62.13 (e10 = e13) <= ((e10 = op1(e10, e12)) & (op1(e10, e12) = e13)), 61.66/62.13 inference('s_sup+', [status(thm)], ['1559', '1565'])). 61.66/62.13 tff('1567', plain, e13 != e10, inference('cnf', [status(esa)], [ax7])). 61.66/62.13 tff('1568', plain, ~ (op1(e10, e12) = e13) | ~ (e10 = op1(e10, e12)), 61.66/62.13 inference('simplify_reflect-', [status(thm)], ['1566', '1567'])). 61.66/62.13 tff('1569', plain, 61.66/62.13 (e10 = op1(e11, e12) 61.66/62.13 | e11 = op1(e11, e12) 61.66/62.13 | e13 = op1(e11, e12) 61.66/62.13 | e12 = op1(e11, e12)), 61.66/62.13 inference('cnf', [status(esa)], [ax1])). 61.66/62.13 tff('1570', plain, e11 != op1(e11, e12), 61.66/62.13 inference('demod', [status(thm)], ['1546', '1547'])). 61.66/62.13 tff('1571', plain, op1(e11, e12) != op1(e11, e11), 61.66/62.13 inference('cnf', [status(esa)], [ax5])). 61.66/62.13 tff('1572', plain, e10 = op1(e11, e11), 61.66/62.13 inference('demod', [status(thm)], ['4', '5', '6'])). 61.66/62.13 tff('1573', plain, op1(e11, e12) != e10, 61.66/62.13 inference('demod', [status(thm)], ['1571', '1572'])). 61.66/62.13 tff('1574', plain, (e13 = op1(e11, e12) | e12 = op1(e11, e12)), 61.66/62.13 inference('simplify_reflect-', [status(thm)], ['1569', '1570', '1573'])). 61.66/62.13 tff('1575', plain, (e13 = op1(e11, e12)) <= ((e13 = op1(e11, e12))), 61.66/62.13 inference('split', [status(esa)], ['1574'])). 61.66/62.13 tff('1576', plain, (e13 = op1(e11, e10)) <= ((e13 = op1(e11, e10))), 61.66/62.13 inference('split', [status(esa)], ['758'])). 61.66/62.13 tff('1577', plain, op1(e11, e10) != op1(e11, e12), 61.66/62.13 inference('cnf', [status(esa)], [ax5])). 61.66/62.13 tff('1578', plain, (e13 != op1(e11, e12)) <= ((e13 = op1(e11, e10))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1576', '1577'])). 61.66/62.13 tff('1579', plain, 61.66/62.13 (e13 != e13) <= ((e13 = op1(e11, e12)) & (e13 = op1(e11, e10))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1575', '1578'])). 61.66/62.13 tff('1580', plain, ~ (e13 = op1(e11, e12)) | ~ (e13 = op1(e11, e10)), 61.66/62.13 inference('simplify', [status(thm)], ['1579'])). 61.66/62.13 tff('1581', plain, 61.66/62.13 (op1(e12, e10) = e11 61.66/62.13 | e13 = op1(e12, e10) 61.66/62.13 | e12 = op1(e12, e10) 61.66/62.13 | op1(e12, e10) = e10), 61.66/62.13 inference('cnf', [status(esa)], [ax1])). 61.66/62.13 tff('1582', plain, op1(e12, e10) != op1(e12, e11), 61.66/62.13 inference('cnf', [status(esa)], [ax5])). 61.66/62.13 tff('1583', plain, op1(e12, e11) = e13, 61.66/62.13 inference('demod', [status(thm)], ['10', '11'])). 61.66/62.13 tff('1584', plain, op1(e12, e10) != e13, 61.66/62.13 inference('demod', [status(thm)], ['1582', '1583'])). 61.66/62.13 tff('1585', plain, op1(e12, e10) != op1(e12, e12), 61.66/62.13 inference('cnf', [status(esa)], [ax5])). 61.66/62.13 tff('1586', plain, e11 = op1(e12, e12), 61.66/62.13 inference('cnf', [status(esa)], [ax12])). 61.66/62.13 tff('1587', plain, op1(e12, e10) != e11, 61.66/62.13 inference('demod', [status(thm)], ['1585', '1586'])). 61.66/62.13 tff('1588', plain, (e12 = op1(e12, e10) | op1(e12, e10) = e10), 61.66/62.13 inference('simplify_reflect-', [status(thm)], ['1581', '1584', '1587'])). 61.66/62.13 tff('1589', plain, (e12 = op1(e12, e10)) | (e10 = op1(e12, e10)), 61.66/62.13 inference('split', [status(esa)], ['1588'])). 61.66/62.13 tff('1590', plain, 61.66/62.13 (op1(e10, e12) = e10 61.66/62.13 | op1(e10, e13) = e10 61.66/62.13 | e10 = op1(e10, e11) 61.66/62.13 | op1(e10, e10) = e10), 61.66/62.13 inference('cnf', [status(esa)], [ax2])). 61.66/62.13 tff('1591', plain, 61.66/62.13 (e10 = op1(e10, e12)) | (e10 = op1(e10, e10)) | (e10 = op1(e10, e11)) | 61.66/62.13 (op1(e10, e13) = e10), inference('split', [status(esa)], ['1590'])). 61.66/62.13 tff(zf_stmt_19, axiom, 61.66/62.13 (zip_tseitin_14 => 61.66/62.13 ((e10 = op1(e10,e11)) & ((e11 != op1(e11,e10)) | (op1(e11,e11) != e10)) & 61.66/62.13 ((op1(e11,e13) != e11) | (e13 != op1(e11,e11))) & 61.66/62.13 ((op1(e11,e11) != e12) | (e11 != op1(e11,e12))) & 61.66/62.13 ((op1(e11,e11) != e11) | (op1(e11,e11) != e11)) & (op1(e11,e10) = e10)))). 61.66/62.13 tff('1592', plain, (e10 = op1(e10, e11) | ~ zip_tseitin_14), 61.66/62.13 inference('cnf', [status(esa)], [zf_stmt_19])). 61.66/62.13 tff('1593', plain, (e10 = op1(e10, e11)) <= ((e10 = op1(e10, e11))), 61.66/62.13 inference('split', [status(esa)], ['1592'])). 61.66/62.13 tff('1594', plain, op1(e10, e11) != e10, 61.66/62.13 inference('demod', [status(thm)], ['3', '7'])). 61.66/62.13 tff('1595', plain, ~ (e10 = op1(e10, e11)), 61.66/62.13 inference('simplify_reflect-', [status(thm)], ['1593', '1594'])). 61.66/62.13 tff('1596', plain, 61.66/62.13 (e13 = op1(e11, e10) 61.66/62.13 | e13 = op1(e12, e10) 61.66/62.13 | op1(e13, e10) = e13 61.66/62.13 | op1(e10, e10) = e13), 61.66/62.13 inference('cnf', [status(esa)], [ax2])). 61.66/62.13 tff('1597', plain, 61.66/62.13 (e13 = op1(e10, e10)) | (e13 = op1(e11, e10)) | (op1(e13, e10) = e13) | 61.66/62.13 (e13 = op1(e12, e10)), inference('split', [status(esa)], ['1596'])). 61.66/62.13 tff('1598', plain, 61.66/62.13 (op1(e12, e10) = e11 61.66/62.13 | e13 = op1(e12, e10) 61.66/62.13 | e12 = op1(e12, e10) 61.66/62.13 | op1(e12, e10) = e10), 61.66/62.13 inference('cnf', [status(esa)], [ax1])). 61.66/62.13 tff('1599', plain, (e13 = op1(e12, e10)) <= ((e13 = op1(e12, e10))), 61.66/62.13 inference('split', [status(esa)], ['1598'])). 61.66/62.13 tff('1600', plain, op1(e12, e10) != e13, 61.66/62.13 inference('demod', [status(thm)], ['1582', '1583'])). 61.66/62.13 tff('1601', plain, ~ (e13 = op1(e12, e10)), 61.66/62.13 inference('simplify_reflect-', [status(thm)], ['1599', '1600'])). 61.66/62.13 tff('1602', plain, (e12 = op1(e10, e11)) | (e11 = op1(e10, e11)), 61.66/62.13 inference('split', [status(esa)], ['14'])). 61.66/62.13 tff('1603', plain, (e12 = op1(e12, e10)) <= ((e12 = op1(e12, e10))), 61.66/62.13 inference('split', [status(esa)], ['132'])). 61.66/62.13 tff('1604', plain, (op1(e10, e10) = e12) <= ((e12 = op1(e10, e10))), 61.66/62.13 inference('split', [status(esa)], ['230'])). 61.66/62.13 tff('1605', plain, op1(e12, e10) != op1(e10, e10), 61.66/62.13 inference('cnf', [status(esa)], [ax5])). 61.66/62.13 tff('1606', plain, (op1(e12, e10) != e12) <= ((e12 = op1(e10, e10))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1604', '1605'])). 61.66/62.13 tff('1607', plain, 61.66/62.13 (e12 != e12) <= ((e12 = op1(e10, e10)) & (e12 = op1(e12, e10))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1603', '1606'])). 61.66/62.13 tff('1608', plain, ~ (e12 = op1(e10, e10)) | ~ (e12 = op1(e12, e10)), 61.66/62.13 inference('simplify', [status(thm)], ['1607'])). 61.66/62.13 tff('1609', plain, (op1(e10, e10) = e12) <= ((e12 = op1(e10, e10))), 61.66/62.13 inference('split', [status(esa)], ['230'])). 61.66/62.13 tff('1610', plain, (op1(e10, e10) = e11) <= ((e11 = op1(e10, e10))), 61.66/62.13 inference('split', [status(esa)], ['230'])). 61.66/62.13 tff('1611', plain, 61.66/62.13 (e12 = e11) <= ((e11 = op1(e10, e10)) & (e12 = op1(e10, e10))), 61.66/62.13 inference('s_sup+', [status(thm)], ['1609', '1610'])). 61.66/62.13 tff('1612', plain, e12 != e11, inference('cnf', [status(esa)], [ax7])). 61.66/62.13 tff('1613', plain, ~ (e12 = op1(e10, e10)) | ~ (e11 = op1(e10, e10)), 61.66/62.13 inference('simplify_reflect-', [status(thm)], ['1611', '1612'])). 61.66/62.13 tff('1614', plain, (op1(e10, e13) = e12) <= ((op1(e10, e13) = e12)), 61.66/62.13 inference('split', [status(esa)], ['0'])). 61.66/62.13 tff('1615', plain, (op1(e10, e10) = e12) <= ((e12 = op1(e10, e10))), 61.66/62.13 inference('split', [status(esa)], ['230'])). 61.66/62.13 tff('1616', plain, op1(e10, e13) != op1(e10, e10), 61.66/62.13 inference('cnf', [status(esa)], [ax5])). 61.66/62.13 tff('1617', plain, (op1(e10, e13) != e12) <= ((e12 = op1(e10, e10))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1615', '1616'])). 61.66/62.13 tff('1618', plain, 61.66/62.13 (e12 != e12) <= ((e12 = op1(e10, e10)) & (op1(e10, e13) = e12)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1614', '1617'])). 61.66/62.13 tff('1619', plain, ~ (e12 = op1(e10, e10)) | ~ (op1(e10, e13) = e12), 61.66/62.13 inference('simplify', [status(thm)], ['1618'])). 61.66/62.13 tff('1620', plain, (e12 = op1(e10, e12)) <= ((e12 = op1(e10, e12))), 61.66/62.13 inference('split', [status(esa)], ['29'])). 61.66/62.13 tff('1621', plain, (op1(e10, e10) = e12) <= ((e12 = op1(e10, e10))), 61.66/62.13 inference('split', [status(esa)], ['230'])). 61.66/62.13 tff('1622', plain, op1(e10, e10) != op1(e10, e12), 61.66/62.13 inference('cnf', [status(esa)], [ax5])). 61.66/62.13 tff('1623', plain, (e12 != op1(e10, e12)) <= ((e12 = op1(e10, e10))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1621', '1622'])). 61.66/62.13 tff('1624', plain, 61.66/62.13 (e12 != e12) <= ((e12 = op1(e10, e10)) & (e12 = op1(e10, e12))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1620', '1623'])). 61.66/62.13 tff('1625', plain, ~ (e12 = op1(e10, e12)) | ~ (e12 = op1(e10, e10)), 61.66/62.13 inference('simplify', [status(thm)], ['1624'])). 61.66/62.13 tff('1626', plain, (op1(e10, e13) = e13) <= ((op1(e10, e13) = e13)), 61.66/62.13 inference('split', [status(esa)], ['956'])). 61.66/62.13 tff('1627', plain, (e11 = op1(e10, e13)) <= ((e11 = op1(e10, e13))), 61.66/62.13 inference('split', [status(esa)], ['0'])). 61.66/62.13 tff('1628', plain, 61.66/62.13 (e11 = e13) <= ((op1(e10, e13) = e13) & (e11 = op1(e10, e13))), 61.66/62.13 inference('s_sup+', [status(thm)], ['1626', '1627'])). 61.66/62.13 tff('1629', plain, e13 != e11, inference('cnf', [status(esa)], [ax7])). 61.66/62.13 tff('1630', plain, ~ (op1(e10, e13) = e13) | ~ (e11 = op1(e10, e13)), 61.66/62.13 inference('simplify_reflect-', [status(thm)], ['1628', '1629'])). 61.66/62.13 tff('1631', plain, (op1(e10, e13) = e13) <= ((op1(e10, e13) = e13)), 61.66/62.13 inference('split', [status(esa)], ['956'])). 61.66/62.13 tff('1632', plain, (op1(e10, e13) = e12) <= ((op1(e10, e13) = e12)), 61.66/62.13 inference('split', [status(esa)], ['0'])). 61.66/62.13 tff('1633', plain, 61.66/62.13 (e13 = e12) <= ((op1(e10, e13) = e13) & (op1(e10, e13) = e12)), 61.66/62.13 inference('s_sup+', [status(thm)], ['1631', '1632'])). 61.66/62.13 tff('1634', plain, e13 != e12, inference('cnf', [status(esa)], [ax7])). 61.66/62.13 tff('1635', plain, ~ (op1(e10, e13) = e12) | ~ (op1(e10, e13) = e13), 61.66/62.13 inference('simplify_reflect-', [status(thm)], ['1633', '1634'])). 61.66/62.13 tff('1636', plain, 61.66/62.13 (e13 = op1(e10, e10)) | (e11 = op1(e10, e10)) | (e12 = op1(e10, e10)) | 61.66/62.13 (e10 = op1(e10, e10)), inference('split', [status(esa)], ['230'])). 61.66/62.13 tff('1637', plain, (e11 = op1(e10, e11)) <= ((e11 = op1(e10, e11))), 61.66/62.13 inference('split', [status(esa)], ['297'])). 61.66/62.13 tff('1638', plain, (op1(e10, e10) = e11) <= ((e11 = op1(e10, e10))), 61.66/62.13 inference('split', [status(esa)], ['230'])). 61.66/62.13 tff('1639', plain, op1(e10, e10) != op1(e10, e11), 61.66/62.13 inference('cnf', [status(esa)], [ax5])). 61.66/62.13 tff('1640', plain, (e11 != op1(e10, e11)) <= ((e11 = op1(e10, e10))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1638', '1639'])). 61.66/62.13 tff('1641', plain, 61.66/62.13 (e11 != e11) <= ((e11 = op1(e10, e11)) & (e11 = op1(e10, e10))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1637', '1640'])). 61.66/62.13 tff('1642', plain, ~ (e11 = op1(e10, e11)) | ~ (e11 = op1(e10, e10)), 61.66/62.13 inference('simplify', [status(thm)], ['1641'])). 61.66/62.13 tff('1643', plain, (e11 = op1(e10, e13)) <= ((e11 = op1(e10, e13))), 61.66/62.13 inference('split', [status(esa)], ['0'])). 61.66/62.13 tff('1644', plain, (e11 = op1(e10, e11)) <= ((e11 = op1(e10, e11))), 61.66/62.13 inference('split', [status(esa)], ['297'])). 61.66/62.13 tff('1645', plain, op1(e10, e11) != op1(e10, e13), 61.66/62.13 inference('cnf', [status(esa)], [ax5])). 61.66/62.13 tff('1646', plain, (e11 != op1(e10, e13)) <= ((e11 = op1(e10, e11))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1644', '1645'])). 61.66/62.13 tff('1647', plain, 61.66/62.13 (e11 != e11) <= ((e11 = op1(e10, e11)) & (e11 = op1(e10, e13))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1643', '1646'])). 61.66/62.13 tff('1648', plain, ~ (e11 = op1(e10, e11)) | ~ (e11 = op1(e10, e13)), 61.66/62.13 inference('simplify', [status(thm)], ['1647'])). 61.66/62.13 tff('1649', plain, (e12 = op1(e13, e12)) <= ((e12 = op1(e13, e12))), 61.66/62.13 inference('split', [status(esa)], ['414'])). 61.66/62.13 tff('1650', plain, (op1(e13, e11) = e12) <= ((op1(e13, e11) = e12)), 61.66/62.13 inference('split', [status(esa)], ['175'])). 61.66/62.13 tff('1651', plain, op1(e13, e12) != op1(e13, e11), 61.66/62.13 inference('cnf', [status(esa)], [ax5])). 61.66/62.13 tff('1652', plain, (op1(e13, e12) != e12) <= ((op1(e13, e11) = e12)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1650', '1651'])). 61.66/62.13 tff('1653', plain, 61.66/62.13 (e12 != e12) <= ((e12 = op1(e13, e12)) & (op1(e13, e11) = e12)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1649', '1652'])). 61.66/62.13 tff('1654', plain, ~ (e12 = op1(e13, e12)) | ~ (op1(e13, e11) = e12), 61.66/62.13 inference('simplify', [status(thm)], ['1653'])). 61.66/62.13 tff('1655', plain, (op1(e13, e11) = e12) <= ((op1(e13, e11) = e12)), 61.66/62.13 inference('split', [status(esa)], ['175'])). 61.66/62.13 tff('1656', plain, (e12 = op1(e10, e11)) <= ((e12 = op1(e10, e11))), 61.66/62.13 inference('split', [status(esa)], ['14'])). 61.66/62.13 tff('1657', plain, op1(e10, e11) != op1(e13, e11), 61.66/62.13 inference('cnf', [status(esa)], [ax5])). 61.66/62.13 tff('1658', plain, (e12 != op1(e13, e11)) <= ((e12 = op1(e10, e11))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1656', '1657'])). 61.66/62.13 tff('1659', plain, 61.66/62.13 (e12 != e12) <= ((e12 = op1(e10, e11)) & (op1(e13, e11) = e12)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1655', '1658'])). 61.66/62.13 tff('1660', plain, ~ (op1(e13, e11) = e12) | ~ (e12 = op1(e10, e11)), 61.66/62.13 inference('simplify', [status(thm)], ['1659'])). 61.66/62.13 tff('1661', plain, (op1(e13, e11) = e11) | (op1(e13, e11) = e12), 61.66/62.13 inference('split', [status(esa)], ['175'])). 61.66/62.13 tff('1662', plain, (op1(e13, e11) = e11) <= ((op1(e13, e11) = e11)), 61.66/62.13 inference('split', [status(esa)], ['42'])). 61.66/62.13 tff('1663', plain, (op1(e13, e10) = e11) <= ((op1(e13, e10) = e11)), 61.66/62.13 inference('split', [status(esa)], ['749'])). 61.66/62.13 tff('1664', plain, op1(e13, e10) != op1(e13, e11), 61.66/62.13 inference('cnf', [status(esa)], [ax5])). 61.66/62.13 tff('1665', plain, (e11 != op1(e13, e11)) <= ((op1(e13, e10) = e11)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1663', '1664'])). 61.66/62.13 tff('1666', plain, 61.66/62.13 (e11 != e11) <= ((op1(e13, e11) = e11) & (op1(e13, e10) = e11)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1662', '1665'])). 61.66/62.13 tff('1667', plain, ~ (op1(e13, e10) = e11) | ~ (op1(e13, e11) = e11), 61.66/62.13 inference('simplify', [status(thm)], ['1666'])). 61.66/62.13 tff(zf_stmt_20, axiom, 61.66/62.13 (zip_tseitin_31 => 61.66/62.13 ((e10 = op1(e10,e10)) & ((e11 = op1(e11,e10)) | (op1(e11,e11) != e10)) & 61.66/62.13 ((e10 != op1(e13,e13)) | (op1(e13,e10) = e13)) & 61.66/62.13 ((op1(e12,e12) != e10) | (e12 = op1(e12,e10))) & 61.66/62.13 ((e10 != op1(e10,e10)) | (op1(e10,e10) = e10))))). 61.66/62.13 tff('1668', plain, (e10 = op1(e10, e10) | ~ zip_tseitin_31), 61.66/62.13 inference('cnf', [status(esa)], [zf_stmt_20])). 61.66/62.13 tff('1669', plain, ~ ( zip_tseitin_31) | (e10 = op1(e10, e10)), 61.66/62.13 inference('split', [status(esa)], ['1668'])). 61.66/62.13 tff('1670', plain, (op1(e10, e13) = e10 | ~ zip_tseitin_0), 61.66/62.13 inference('cnf', [status(esa)], [zf_stmt_9])). 61.66/62.13 tff('1671', plain, ~ ( zip_tseitin_0) | (op1(e10, e13) = e10), 61.66/62.13 inference('split', [status(esa)], ['1670'])). 61.66/62.13 tff('1672', plain, (op1(e11, e13) = e11) <= ((op1(e11, e13) = e11)), 61.66/62.13 inference('split', [status(esa)], ['20'])). 61.66/62.13 tff('1673', plain, (op1(e11, e10) = e11) <= ((op1(e11, e10) = e11)), 61.66/62.13 inference('split', [status(esa)], ['67'])). 61.66/62.13 tff('1674', plain, op1(e11, e10) != op1(e11, e13), 61.66/62.13 inference('cnf', [status(esa)], [ax5])). 61.66/62.13 tff('1675', plain, (e11 != op1(e11, e13)) <= ((op1(e11, e10) = e11)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1673', '1674'])). 61.66/62.13 tff('1676', plain, 61.66/62.13 (e11 != e11) <= ((op1(e11, e10) = e11) & (op1(e11, e13) = e11)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1672', '1675'])). 61.66/62.13 tff('1677', plain, ~ (op1(e11, e13) = e11) | ~ (op1(e11, e10) = e11), 61.66/62.13 inference('simplify', [status(thm)], ['1676'])). 61.66/62.13 tff('1678', plain, 61.66/62.13 (op1(e10, e10) = e11 61.66/62.13 | op1(e13, e10) = e11 61.66/62.13 | op1(e12, e10) = e11 61.66/62.13 | op1(e11, e10) = e11), 61.66/62.13 inference('cnf', [status(esa)], [ax2])). 61.66/62.13 tff('1679', plain, op1(e12, e10) != e11, 61.66/62.13 inference('demod', [status(thm)], ['1585', '1586'])). 61.66/62.13 tff('1680', plain, 61.66/62.13 (op1(e10, e10) = e11 | op1(e13, e10) = e11 | op1(e11, e10) = e11), 61.66/62.13 inference('simplify_reflect-', [status(thm)], ['1678', '1679'])). 61.66/62.13 tff('1681', plain, 61.66/62.13 (op1(e11, e10) = e11) | (e11 = op1(e10, e10)) | (op1(e13, e10) = e11), 61.66/62.13 inference('split', [status(esa)], ['1680'])). 61.66/62.13 tff('1682', plain, (e10 = op1(e10, e12)) <= ((e10 = op1(e10, e12))), 61.66/62.13 inference('split', [status(esa)], ['215'])). 61.66/62.13 tff(zf_stmt_21, axiom, 61.66/62.13 (zip_tseitin_15 => 61.66/62.13 (((e10 != op1(e10,e10)) | (op1(e10,e10) != e10)) & 61.66/62.13 ((op1(e10,e13) != e10) | (op1(e10,e10) != e13)) & 61.66/62.13 ((op1(e10,e10) != e12) | (e10 != op1(e10,e12))) & 61.66/62.13 ((op1(e10,e10) != e11) | (e10 != op1(e10,e11))) & (op1(e10,e10) = e10) & 61.66/62.13 (e10 = op1(e10,e10))))). 61.66/62.13 tff('1683', plain, (op1(e10, e10) = e10 | ~ zip_tseitin_15), 61.66/62.13 inference('cnf', [status(esa)], [zf_stmt_21])). 61.66/62.13 tff('1684', plain, (op1(e10, e10) = e10) <= ((e10 = op1(e10, e10))), 61.66/62.13 inference('split', [status(esa)], ['1683'])). 61.66/62.13 tff('1685', plain, op1(e10, e10) != op1(e10, e12), 61.66/62.13 inference('cnf', [status(esa)], [ax5])). 61.66/62.13 tff('1686', plain, (e10 != op1(e10, e12)) <= ((e10 = op1(e10, e10))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1684', '1685'])). 61.66/62.13 tff('1687', plain, 61.66/62.13 (e10 != e10) <= ((e10 = op1(e10, e12)) & (e10 = op1(e10, e10))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1682', '1686'])). 61.66/62.13 tff('1688', plain, ~ (e10 = op1(e10, e10)) | ~ (e10 = op1(e10, e12)), 61.66/62.13 inference('simplify', [status(thm)], ['1687'])). 61.66/62.13 tff('1689', plain, (op1(e10, e10) = e10) <= ((e10 = op1(e10, e10))), 61.66/62.13 inference('split', [status(esa)], ['1683'])). 61.66/62.13 tff('1690', plain, (op1(e10, e10) = e11) <= ((e11 = op1(e10, e10))), 61.66/62.13 inference('split', [status(esa)], ['230'])). 61.66/62.13 tff('1691', plain, 61.66/62.13 (e10 = e11) <= ((e11 = op1(e10, e10)) & (e10 = op1(e10, e10))), 61.66/62.13 inference('s_sup+', [status(thm)], ['1689', '1690'])). 61.66/62.13 tff('1692', plain, e10 != e11, inference('cnf', [status(esa)], [ax7])). 61.66/62.13 tff('1693', plain, ~ (e10 = op1(e10, e10)) | ~ (e11 = op1(e10, e10)), 61.66/62.13 inference('simplify_reflect-', [status(thm)], ['1691', '1692'])). 61.66/62.13 tff('1694', plain, 61.66/62.13 (e10 != op1(e10, e10) | e10 != op1(e10, e10) | ~ zip_tseitin_1), 61.66/62.13 inference('cnf', [status(esa)], [zf_stmt_4])). 61.66/62.13 tff('1695', plain, (~ zip_tseitin_1 | e10 != op1(e10, e10)), 61.66/62.13 inference('simplify', [status(thm)], ['1694'])). 61.66/62.13 tff('1696', plain, ~ (e10 = op1(e10, e10)) | ~ ( zip_tseitin_1), 61.66/62.13 inference('split', [status(esa)], ['1695'])). 61.66/62.13 tff('1697', plain, 61.66/62.13 (e10 != op1(e10, e10) | op1(e10, e10) != e10 | ~ zip_tseitin_4), 61.66/62.13 inference('cnf', [status(esa)], [zf_stmt_2])). 61.66/62.13 tff('1698', plain, (~ zip_tseitin_4 | e10 != op1(e10, e10)), 61.66/62.13 inference('simplify', [status(thm)], ['1697'])). 61.66/62.13 tff('1699', plain, ~ ( zip_tseitin_4) | ~ (e10 = op1(e10, e10)), 61.66/62.13 inference('split', [status(esa)], ['1698'])). 61.66/62.13 tff('1700', plain, 61.66/62.13 (op1(e10, e10) != e10 | e10 != op1(e10, e10) | ~ zip_tseitin_9), 61.66/62.13 inference('cnf', [status(esa)], [zf_stmt_12])). 61.66/62.13 tff('1701', plain, (~ zip_tseitin_9 | op1(e10, e10) != e10), 61.66/62.13 inference('simplify', [status(thm)], ['1700'])). 61.66/62.13 tff('1702', plain, ~ ( zip_tseitin_9) | ~ (e10 = op1(e10, e10)), 61.66/62.13 inference('split', [status(esa)], ['1701'])). 61.66/62.13 tff('1703', plain, 61.66/62.13 (op1(e10, e10) != e10 | e10 != op1(e10, e10) | ~ zip_tseitin_15), 61.66/62.13 inference('cnf', [status(esa)], [zf_stmt_21])). 61.66/62.13 tff('1704', plain, (~ zip_tseitin_15 | op1(e10, e10) != e10), 61.66/62.13 inference('simplify', [status(thm)], ['1703'])). 61.66/62.13 tff('1705', plain, ~ ( zip_tseitin_15) | ~ (e10 = op1(e10, e10)), 61.66/62.13 inference('split', [status(esa)], ['1704'])). 61.66/62.13 tff(zf_stmt_22, axiom, 61.66/62.13 (zip_tseitin_17 => 61.66/62.13 (((e11 = op1(e11,e12)) | (op1(e11,e11) != e12)) & 61.66/62.13 ((e12 != op1(e12,e12)) | (op1(e12,e12) = e12)) & 61.66/62.13 ((e13 = op1(e13,e12)) | (op1(e13,e13) != e12)) & 61.66/62.13 ((op1(e10,e12) = e10) | (op1(e10,e10) != e12)) & (op1(e10,e10) = e12)))). 61.66/62.13 tff('1706', plain, (op1(e10, e10) = e12 | ~ zip_tseitin_17), 61.66/62.13 inference('cnf', [status(esa)], [zf_stmt_22])). 61.66/62.13 tff('1707', plain, ~ ( zip_tseitin_17) | (e12 = op1(e10, e10)), 61.66/62.13 inference('split', [status(esa)], ['1706'])). 61.66/62.13 tff('1708', plain, (e10 = op1(e13, e13)) <= ((op1(e13, e13) = e10)), 61.66/62.13 inference('split', [status(esa)], ['1082'])). 61.66/62.13 tff('1709', plain, (op1(e13, e13) = e11) <= ((op1(e13, e13) = e11)), 61.66/62.13 inference('split', [status(esa)], ['40'])). 61.66/62.13 tff('1710', plain, 61.66/62.13 (e10 = e11) <= ((op1(e13, e13) = e10) & (op1(e13, e13) = e11)), 61.66/62.13 inference('s_sup+', [status(thm)], ['1708', '1709'])). 61.66/62.13 tff('1711', plain, e10 != e11, inference('cnf', [status(esa)], [ax7])). 61.66/62.13 tff('1712', plain, ~ (op1(e13, e13) = e10) | ~ (op1(e13, e13) = e11), 61.66/62.13 inference('simplify_reflect-', [status(thm)], ['1710', '1711'])). 61.66/62.13 tff('1713', plain, 61.66/62.13 (h3(op1(e11, e10)) != op2(h3(e11), h3(e10)) 61.66/62.13 | h3(op1(e11, e11)) != op2(h3(e11), h3(e11)) 61.66/62.13 | h3(op1(e13, e10)) != op2(h3(e13), h3(e10)) 61.66/62.13 | op2(h3(e13), h3(e11)) != h3(op1(e13, e11)) 61.66/62.13 | op2(h3(e13), h3(e12)) != h3(op1(e13, e12)) 61.66/62.13 | h3(op1(e13, e13)) != op2(h3(e13), h3(e13)) 61.66/62.13 | h3(e13) != e23 61.66/62.13 | e22 != h3(e12) 61.66/62.13 | e21 != h3(e11) 61.66/62.13 | e20 != h3(e10) 61.66/62.13 | op2(h3(e12), h3(e13)) != h3(op1(e12, e13)) 61.66/62.13 | op2(h3(e12), h3(e12)) != h3(op1(e12, e12)) 61.66/62.13 | op2(h3(e12), h3(e11)) != h3(op1(e12, e11)) 61.66/62.13 | h3(op1(e12, e10)) != op2(h3(e12), h3(e10)) 61.66/62.13 | h3(op1(e11, e13)) != op2(h3(e11), h3(e13)) 61.66/62.13 | op2(h3(e11), h3(e12)) != h3(op1(e11, e12)) 61.66/62.13 | op2(h3(e10), h3(e13)) != h3(op1(e10, e13)) 61.66/62.13 | h3(op1(e10, e12)) != op2(h3(e10), h3(e12)) 61.66/62.13 | h3(op1(e10, e11)) != op2(h3(e10), h3(e11)) 61.66/62.13 | op2(h3(e10), h3(e10)) != h3(op1(e10, e10))), 61.66/62.13 inference('cnf', [status(esa)], [zf_stmt_5])). 61.66/62.13 tff('1714', plain, e10 = op1(e11, e11), 61.66/62.13 inference('demod', [status(thm)], ['4', '5', '6'])). 61.66/62.13 tff('1715', plain, h3(e10) = op2(h3(e11), h3(e11)), 61.66/62.13 inference('demod', [status(thm)], ['434', '435', '436'])). 61.66/62.13 tff('1716', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.13 tff('1717', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.13 tff('1718', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.13 tff('1719', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.13 tff('1720', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.13 tff('1721', plain, e21 = op2(e22, e22), 61.66/62.13 inference('cnf', [status(esa)], [ax13])). 61.66/62.13 tff('1722', plain, e11 = op1(e12, e12), 61.66/62.13 inference('cnf', [status(esa)], [ax12])). 61.66/62.13 tff('1723', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.13 tff('1724', plain, op2(e22, h3(e11)) = e23, 61.66/62.13 inference('demod', [status(thm)], ['262', '263'])). 61.66/62.13 tff('1725', plain, op1(e12, e11) = e13, 61.66/62.13 inference('demod', [status(thm)], ['10', '11'])). 61.66/62.13 tff('1726', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.13 tff('1727', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.13 tff('1728', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.13 tff('1729', plain, 61.66/62.13 (h3(op1(e11, e10)) != op2(h3(e11), h3(e10)) 61.66/62.13 | h3(e10) != h3(e10) 61.66/62.13 | h3(op1(e13, e10)) != op2(h3(e13), h3(e10)) 61.66/62.13 | op2(h3(e13), h3(e11)) != h3(op1(e13, e11)) 61.66/62.13 | op2(h3(e13), e22) != h3(op1(e13, e12)) 61.66/62.13 | h3(op1(e13, e13)) != op2(h3(e13), h3(e13)) 61.66/62.13 | h3(e13) != e23 61.66/62.13 | e22 != e22 61.66/62.13 | e21 != h3(e11) 61.66/62.13 | e20 != h3(e10) 61.66/62.13 | op2(e22, h3(e13)) != h3(op1(e12, e13)) 61.66/62.13 | e21 != h3(e11) 61.66/62.13 | e23 != h3(e13) 61.66/62.13 | h3(op1(e12, e10)) != op2(e22, h3(e10)) 61.66/62.13 | h3(op1(e11, e13)) != op2(h3(e11), h3(e13)) 61.66/62.13 | op2(h3(e11), e22) != h3(op1(e11, e12)) 61.66/62.13 | op2(h3(e10), h3(e13)) != h3(op1(e10, e13)) 61.66/62.13 | h3(op1(e10, e12)) != op2(h3(e10), e22) 61.66/62.13 | h3(op1(e10, e11)) != op2(h3(e10), h3(e11)) 61.66/62.13 | op2(h3(e10), h3(e10)) != h3(op1(e10, e10))), 61.66/62.13 inference('demod', [status(thm)], 61.66/62.13 ['1713', '1714', '1715', '1716', '1717', '1718', '1719', 61.66/62.13 '1720', '1721', '1722', '1723', '1724', '1725', '1726', 61.66/62.13 '1727', '1728'])). 61.66/62.13 tff('1730', plain, 61.66/62.13 (op2(h3(e10), h3(e10)) != h3(op1(e10, e10)) 61.66/62.13 | h3(op1(e10, e11)) != op2(h3(e10), h3(e11)) 61.66/62.13 | h3(op1(e10, e12)) != op2(h3(e10), e22) 61.66/62.13 | op2(h3(e10), h3(e13)) != h3(op1(e10, e13)) 61.66/62.13 | op2(h3(e11), e22) != h3(op1(e11, e12)) 61.66/62.13 | h3(op1(e11, e13)) != op2(h3(e11), h3(e13)) 61.66/62.13 | h3(op1(e12, e10)) != op2(e22, h3(e10)) 61.66/62.13 | op2(e22, h3(e13)) != h3(op1(e12, e13)) 61.66/62.13 | e20 != h3(e10) 61.66/62.13 | e21 != h3(e11) 61.66/62.13 | h3(e13) != e23 61.66/62.13 | h3(op1(e13, e13)) != op2(h3(e13), h3(e13)) 61.66/62.13 | op2(h3(e13), e22) != h3(op1(e13, e12)) 61.66/62.13 | op2(h3(e13), h3(e11)) != h3(op1(e13, e11)) 61.66/62.13 | h3(op1(e13, e10)) != op2(h3(e13), h3(e10)) 61.66/62.13 | h3(op1(e11, e10)) != op2(h3(e11), h3(e10))), 61.66/62.13 inference('simplify', [status(thm)], ['1729'])). 61.66/62.13 tff('1731', plain, 61.66/62.13 ~ (op2(h3(e10), h3(e10)) = h3(op1(e10, e10))) | 61.66/62.13 ~ (h3(op1(e11, e10)) = op2(h3(e11), h3(e10))) | ~ (e20 = h3(e10)) | 61.66/62.13 ~ (h3(op1(e13, e10)) = op2(h3(e13), h3(e10))) | ~ (e21 = h3(e11)) | 61.66/62.13 ~ (h3(op1(e12, e10)) = op2(e22, h3(e10))) | 61.66/62.13 ~ (op2(h3(e10), h3(e13)) = h3(op1(e10, e13))) | 61.66/62.13 ~ (op2(h3(e11), e22) = h3(op1(e11, e12))) | 61.66/62.13 ~ (h3(op1(e11, e13)) = op2(h3(e11), h3(e13))) | 61.66/62.13 ~ (op2(e22, h3(e13)) = h3(op1(e12, e13))) | 61.66/62.13 ~ (h3(op1(e10, e11)) = op2(h3(e10), h3(e11))) | 61.66/62.13 ~ (op2(h3(e13), e22) = h3(op1(e13, e12))) | ~ (e23 = h3(e13)) | 61.66/62.13 ~ (h3(op1(e10, e12)) = op2(h3(e10), e22)) | 61.66/62.13 ~ (op2(h3(e13), h3(e11)) = h3(op1(e13, e11))) | 61.66/62.13 ~ (h3(op1(e13, e13)) = op2(h3(e13), h3(e13))), 61.66/62.13 inference('split', [status(esa)], ['1730'])). 61.66/62.13 tff('1732', plain, h3(e10) = e20, 61.66/62.13 inference('s_sup+', [status(thm)], ['472', '476'])). 61.66/62.13 tff('1733', plain, (e20 != h3(e10)) <= (~ (e20 = h3(e10))), 61.66/62.13 inference('split', [status(esa)], ['1299'])). 61.66/62.13 tff('1734', plain, (e20 != e20) <= (~ (e20 = h3(e10))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1732', '1733'])). 61.66/62.13 tff('1735', plain, (e20 = h3(e10)), 61.66/62.13 inference('simplify', [status(thm)], ['1734'])). 61.66/62.13 tff('1736', plain, e21 = h3(e11), 61.66/62.13 inference('s_sup+', [status(thm)], ['265', '266'])). 61.66/62.13 tff('1737', plain, (e21 != h3(e11)) <= (~ (e21 = h3(e11))), 61.66/62.13 inference('split', [status(esa)], ['451'])). 61.66/62.13 tff('1738', plain, (e21 != e21) <= (~ (e21 = h3(e11))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1736', '1737'])). 61.66/62.13 tff('1739', plain, (e21 = h3(e11)), 61.66/62.13 inference('simplify', [status(thm)], ['1738'])). 61.66/62.13 tff('1740', plain, e23 = h3(e13), 61.66/62.13 inference('s_sup+', [status(thm)], ['453', '458'])). 61.66/62.13 tff('1741', plain, (e23 != h3(e13)) <= (~ (e23 = h3(e13))), 61.66/62.13 inference('split', [status(esa)], ['451'])). 61.66/62.13 tff('1742', plain, (e23 != e23) <= (~ (e23 = h3(e13))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1740', '1741'])). 61.66/62.13 tff('1743', plain, (e23 = h3(e13)), 61.66/62.13 inference('simplify', [status(thm)], ['1742'])). 61.66/62.13 tff('1744', plain, (op2(e21, e22) = e22) <= ((op2(e21, e22) = e22)), 61.66/62.13 inference('split', [status(esa)], ['241'])). 61.66/62.13 tff('1745', plain, (op1(e11, e12) = e12) <= ((op1(e11, e12) = e12)), 61.66/62.13 inference('split', [status(esa)], ['112'])). 61.66/62.13 tff('1746', plain, 61.66/62.13 (op2(h3(e11), e22) != h3(op1(e11, e12))) 61.66/62.13 <= (~ (op2(h3(e11), e22) = h3(op1(e11, e12)))), 61.66/62.13 inference('split', [status(esa)], ['451'])). 61.66/62.13 tff('1747', plain, e21 = h3(e11), 61.66/62.13 inference('s_sup+', [status(thm)], ['265', '266'])). 61.66/62.13 tff('1748', plain, 61.66/62.13 (op2(e21, e22) != h3(op1(e11, e12))) 61.66/62.13 <= (~ (op2(h3(e11), e22) = h3(op1(e11, e12)))), 61.66/62.13 inference('demod', [status(thm)], ['1746', '1747'])). 61.66/62.13 tff('1749', plain, 61.66/62.13 (op2(e21, e22) != h3(e12)) 61.66/62.13 <= (~ (op2(h3(e11), e22) = h3(op1(e11, e12))) & (op1(e11, e12) = e12)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1745', '1748'])). 61.66/62.13 tff('1750', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.13 tff('1751', plain, 61.66/62.13 (op2(e21, e22) != e22) 61.66/62.13 <= (~ (op2(h3(e11), e22) = h3(op1(e11, e12))) & (op1(e11, e12) = e12)), 61.66/62.13 inference('demod', [status(thm)], ['1749', '1750'])). 61.66/62.13 tff('1752', plain, 61.66/62.13 (e22 != e22) 61.66/62.13 <= (~ (op2(h3(e11), e22) = h3(op1(e11, e12))) & 61.66/62.13 (op2(e21, e22) = e22) & 61.66/62.13 (op1(e11, e12) = e12)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1744', '1751'])). 61.66/62.13 tff('1753', plain, 61.66/62.13 (op2(h3(e11), e22) = h3(op1(e11, e12))) | ~ (op1(e11, e12) = e12) | 61.66/62.13 ~ (op2(e21, e22) = e22), inference('simplify', [status(thm)], ['1752'])). 61.66/62.13 tff('1754', plain, (e21 = h2(e13)) <= ((e21 = op2(e21, e20))), 61.66/62.13 inference('s_sup+', [status(thm)], ['691', '692'])). 61.66/62.13 tff('1755', plain, (op1(e11, e10) = e11) <= ((op1(e11, e10) = e11)), 61.66/62.13 inference('split', [status(esa)], ['67'])). 61.66/62.13 tff('1756', plain, 61.66/62.13 (h3(op1(e11, e10)) != h2(e13)) 61.66/62.13 <= (~ (h3(op1(e11, e10)) = op2(h3(e11), h3(e10)))), 61.66/62.13 inference('demod', [status(thm)], ['1267', '1268', '1269', '1270'])). 61.66/62.13 tff('1757', plain, 61.66/62.13 (h3(e11) != h2(e13)) 61.66/62.13 <= (~ (h3(op1(e11, e10)) = op2(h3(e11), h3(e10))) & 61.66/62.13 (op1(e11, e10) = e11)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1755', '1756'])). 61.66/62.13 tff('1758', plain, e21 = h3(e11), 61.66/62.13 inference('s_sup+', [status(thm)], ['265', '266'])). 61.66/62.13 tff('1759', plain, 61.66/62.13 (e21 != h2(e13)) 61.66/62.13 <= (~ (h3(op1(e11, e10)) = op2(h3(e11), h3(e10))) & 61.66/62.13 (op1(e11, e10) = e11)), 61.66/62.13 inference('demod', [status(thm)], ['1757', '1758'])). 61.66/62.13 tff('1760', plain, 61.66/62.13 (e21 != e21) 61.66/62.13 <= (~ (h3(op1(e11, e10)) = op2(h3(e11), h3(e10))) & 61.66/62.13 (op1(e11, e10) = e11) & 61.66/62.13 (e21 = op2(e21, e20))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1754', '1759'])). 61.66/62.13 tff('1761', plain, 61.66/62.13 (h3(op1(e11, e10)) = op2(h3(e11), h3(e10))) | ~ (e21 = op2(e21, e20)) | 61.66/62.13 ~ (op1(e11, e10) = e11), inference('simplify', [status(thm)], ['1760'])). 61.66/62.13 tff('1762', plain, (op2(e20, e21) = e21) <= ((op2(e20, e21) = e21)), 61.66/62.13 inference('split', [status(esa)], ['356'])). 61.66/62.13 tff('1763', plain, (e11 = op1(e10, e11)) <= ((e11 = op1(e10, e11))), 61.66/62.13 inference('split', [status(esa)], ['297'])). 61.66/62.13 tff('1764', plain, 61.66/62.13 (h3(op1(e10, e11)) != op2(h3(e10), h3(e11))) 61.66/62.13 <= (~ (h3(op1(e10, e11)) = op2(h3(e10), h3(e11)))), 61.66/62.13 inference('split', [status(esa)], ['451'])). 61.66/62.13 tff('1765', plain, h3(e10) = e20, 61.66/62.13 inference('s_sup+', [status(thm)], ['472', '476'])). 61.66/62.13 tff('1766', plain, e21 = h3(e11), 61.66/62.13 inference('s_sup+', [status(thm)], ['265', '266'])). 61.66/62.13 tff('1767', plain, 61.66/62.13 (h3(op1(e10, e11)) != op2(e20, e21)) 61.66/62.13 <= (~ (h3(op1(e10, e11)) = op2(h3(e10), h3(e11)))), 61.66/62.13 inference('demod', [status(thm)], ['1764', '1765', '1766'])). 61.66/62.13 tff('1768', plain, 61.66/62.13 (h3(e11) != op2(e20, e21)) 61.66/62.13 <= (~ (h3(op1(e10, e11)) = op2(h3(e10), h3(e11))) & 61.66/62.13 (e11 = op1(e10, e11))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1763', '1767'])). 61.66/62.13 tff('1769', plain, e21 = h3(e11), 61.66/62.13 inference('s_sup+', [status(thm)], ['265', '266'])). 61.66/62.13 tff('1770', plain, 61.66/62.13 (e21 != op2(e20, e21)) 61.66/62.13 <= (~ (h3(op1(e10, e11)) = op2(h3(e10), h3(e11))) & 61.66/62.13 (e11 = op1(e10, e11))), 61.66/62.13 inference('demod', [status(thm)], ['1768', '1769'])). 61.66/62.13 tff('1771', plain, 61.66/62.13 (e21 != e21) 61.66/62.13 <= (~ (h3(op1(e10, e11)) = op2(h3(e10), h3(e11))) & 61.66/62.13 (e11 = op1(e10, e11)) & 61.66/62.13 (op2(e20, e21) = e21)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1762', '1770'])). 61.66/62.13 tff('1772', plain, 61.66/62.13 (h3(op1(e10, e11)) = op2(h3(e10), h3(e11))) | ~ (e11 = op1(e10, e11)) | 61.66/62.13 ~ (op2(e20, e21) = e21), inference('simplify', [status(thm)], ['1771'])). 61.66/62.13 tff('1773', plain, (op2(e20, e22) = e23) <= ((op2(e20, e22) = e23)), 61.66/62.13 inference('split', [status(esa)], ['615'])). 61.66/62.13 tff('1774', plain, (op2(e20, e22) = e22) <= ((op2(e20, e22) = e22)), 61.66/62.13 inference('split', [status(esa)], ['675'])). 61.66/62.13 tff('1775', plain, 61.66/62.13 (e23 = e22) <= ((op2(e20, e22) = e23) & (op2(e20, e22) = e22)), 61.66/62.13 inference('s_sup+', [status(thm)], ['1773', '1774'])). 61.66/62.13 tff('1776', plain, e22 != e23, inference('cnf', [status(esa)], [ax8])). 61.66/62.13 tff('1777', plain, ~ (op2(e20, e22) = e22) | ~ (op2(e20, e22) = e23), 61.66/62.13 inference('simplify_reflect-', [status(thm)], ['1775', '1776'])). 61.66/62.13 tff('1778', plain, (op2(e20, e22) = e23) <= ((op2(e20, e22) = e23)), 61.66/62.13 inference('split', [status(esa)], ['615'])). 61.66/62.13 tff('1779', plain, (op1(e10, e12) = e13) <= ((op1(e10, e12) = e13)), 61.66/62.13 inference('split', [status(esa)], ['1564'])). 61.66/62.13 tff('1780', plain, 61.66/62.13 (h3(op1(e10, e12)) != op2(e20, e22)) 61.66/62.13 <= (~ (h3(op1(e10, e12)) = op2(h3(e10), e22))), 61.66/62.13 inference('demod', [status(thm)], ['1257', '1258'])). 61.66/62.13 tff('1781', plain, 61.66/62.13 (h3(e13) != op2(e20, e22)) 61.66/62.13 <= (~ (h3(op1(e10, e12)) = op2(h3(e10), e22)) & (op1(e10, e12) = e13)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1779', '1780'])). 61.66/62.13 tff('1782', plain, e23 = h3(e13), 61.66/62.13 inference('s_sup+', [status(thm)], ['453', '458'])). 61.66/62.13 tff('1783', plain, 61.66/62.13 (e23 != op2(e20, e22)) 61.66/62.13 <= (~ (h3(op1(e10, e12)) = op2(h3(e10), e22)) & (op1(e10, e12) = e13)), 61.66/62.13 inference('demod', [status(thm)], ['1781', '1782'])). 61.66/62.13 tff('1784', plain, 61.66/62.13 (e23 != e23) 61.66/62.13 <= (~ (h3(op1(e10, e12)) = op2(h3(e10), e22)) & 61.66/62.13 (op2(e20, e22) = e23) & 61.66/62.13 (op1(e10, e12) = e13)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1778', '1783'])). 61.66/62.13 tff('1785', plain, 61.66/62.13 (h3(op1(e10, e12)) = op2(h3(e10), e22)) | ~ (op1(e10, e12) = e13) | 61.66/62.13 ~ (op2(e20, e22) = e23), inference('simplify', [status(thm)], ['1784'])). 61.66/62.13 tff('1786', plain, (op2(e23, e21) = e22) <= ((op2(e23, e21) = e22)), 61.66/62.13 inference('split', [status(esa)], ['272'])). 61.66/62.13 tff('1787', plain, (op1(e13, e11) = e12) <= ((op1(e13, e11) = e12)), 61.66/62.13 inference('split', [status(esa)], ['175'])). 61.66/62.13 tff('1788', plain, 61.66/62.13 (op2(h3(e13), h3(e11)) != h3(op1(e13, e11))) 61.66/62.13 <= (~ (op2(h3(e13), h3(e11)) = h3(op1(e13, e11)))), 61.66/62.13 inference('split', [status(esa)], ['451'])). 61.66/62.13 tff('1789', plain, e23 = h3(e13), 61.66/62.13 inference('s_sup+', [status(thm)], ['453', '458'])). 61.66/62.13 tff('1790', plain, e21 = h3(e11), 61.66/62.13 inference('s_sup+', [status(thm)], ['265', '266'])). 61.66/62.13 tff('1791', plain, 61.66/62.13 (op2(e23, e21) != h3(op1(e13, e11))) 61.66/62.13 <= (~ (op2(h3(e13), h3(e11)) = h3(op1(e13, e11)))), 61.66/62.13 inference('demod', [status(thm)], ['1788', '1789', '1790'])). 61.66/62.13 tff('1792', plain, 61.66/62.13 (op2(e23, e21) != h3(e12)) 61.66/62.13 <= (~ (op2(h3(e13), h3(e11)) = h3(op1(e13, e11))) & 61.66/62.13 (op1(e13, e11) = e12)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1787', '1791'])). 61.66/62.13 tff('1793', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.13 tff('1794', plain, 61.66/62.13 (op2(e23, e21) != e22) 61.66/62.13 <= (~ (op2(h3(e13), h3(e11)) = h3(op1(e13, e11))) & 61.66/62.13 (op1(e13, e11) = e12)), 61.66/62.13 inference('demod', [status(thm)], ['1792', '1793'])). 61.66/62.13 tff('1795', plain, 61.66/62.13 (e22 != e22) 61.66/62.13 <= (~ (op2(h3(e13), h3(e11)) = h3(op1(e13, e11))) & 61.66/62.13 (op2(e23, e21) = e22) & 61.66/62.13 (op1(e13, e11) = e12)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1786', '1794'])). 61.66/62.13 tff('1796', plain, 61.66/62.13 (op2(h3(e13), h3(e11)) = h3(op1(e13, e11))) | ~ (op1(e13, e11) = e12) | 61.66/62.13 ~ (op2(e23, e21) = e22), inference('simplify', [status(thm)], ['1795'])). 61.66/62.13 tff('1797', plain, 61.66/62.13 (op2(e20, e21) = e22 61.66/62.13 | e22 = op2(e22, e21) 61.66/62.13 | e22 = op2(e23, e21) 61.66/62.13 | op2(e21, e21) = e22), 61.66/62.13 inference('cnf', [status(esa)], [ax4])). 61.66/62.13 tff('1798', plain, op2(e21, e21) = h2(e11), 61.66/62.13 inference('cnf', [status(esa)], [ax15])). 61.66/62.13 tff('1799', plain, 61.66/62.13 (op2(e20, e21) = e22 61.66/62.13 | e22 = op2(e22, e21) 61.66/62.13 | e22 = op2(e23, e21) 61.66/62.13 | h2(e11) = e22), 61.66/62.13 inference('demod', [status(thm)], ['1797', '1798'])). 61.66/62.13 tff('1800', plain, (op2(e20, e21) = e22) <= ((op2(e20, e21) = e22)), 61.66/62.13 inference('split', [status(esa)], ['1799'])). 61.66/62.13 tff('1801', plain, (op2(e23, e21) = e22) <= ((op2(e23, e21) = e22)), 61.66/62.13 inference('split', [status(esa)], ['272'])). 61.66/62.13 tff('1802', plain, op2(e20, e21) != op2(e23, e21), 61.66/62.13 inference('cnf', [status(esa)], [ax6])). 61.66/62.13 tff('1803', plain, (op2(e20, e21) != e22) <= ((op2(e23, e21) = e22)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1801', '1802'])). 61.66/62.13 tff('1804', plain, 61.66/62.13 (e22 != e22) <= ((op2(e23, e21) = e22) & (op2(e20, e21) = e22)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1800', '1803'])). 61.66/62.13 tff('1805', plain, ~ (op2(e20, e21) = e22) | ~ (op2(e23, e21) = e22), 61.66/62.13 inference('simplify', [status(thm)], ['1804'])). 61.66/62.13 tff('1806', plain, 61.66/62.13 (op2(e23, e21) = e22) | (op2(e23, e22) = e22) | (e22 = op2(e23, e23)) | 61.66/62.13 (e22 = op2(e23, e20)), inference('split', [status(esa)], ['272'])). 61.66/62.13 tff('1807', plain, (op2(e21, e23) = e23) <= ((op2(e21, e23) = e23)), 61.66/62.13 inference('split', [status(esa)], ['684'])). 61.66/62.13 tff('1808', plain, (op1(e11, e13) = e13) <= ((op1(e11, e13) = e13)), 61.66/62.13 inference('split', [status(esa)], ['363'])). 61.66/62.13 tff('1809', plain, 61.66/62.13 (h3(op1(e11, e13)) != op2(e21, e23)) 61.66/62.13 <= (~ (h3(op1(e11, e13)) = op2(h3(e11), h3(e13)))), 61.66/62.13 inference('demod', [status(thm)], ['1300', '1301', '1302'])). 61.66/62.13 tff('1810', plain, 61.66/62.13 (h3(e13) != op2(e21, e23)) 61.66/62.13 <= (~ (h3(op1(e11, e13)) = op2(h3(e11), h3(e13))) & 61.66/62.13 (op1(e11, e13) = e13)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1808', '1809'])). 61.66/62.13 tff('1811', plain, e23 = h3(e13), 61.66/62.13 inference('s_sup+', [status(thm)], ['453', '458'])). 61.66/62.13 tff('1812', plain, 61.66/62.13 (e23 != op2(e21, e23)) 61.66/62.13 <= (~ (h3(op1(e11, e13)) = op2(h3(e11), h3(e13))) & 61.66/62.13 (op1(e11, e13) = e13)), 61.66/62.13 inference('demod', [status(thm)], ['1810', '1811'])). 61.66/62.13 tff('1813', plain, 61.66/62.13 (e23 != e23) 61.66/62.13 <= (~ (h3(op1(e11, e13)) = op2(h3(e11), h3(e13))) & 61.66/62.13 (op2(e21, e23) = e23) & 61.66/62.13 (op1(e11, e13) = e13)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1807', '1812'])). 61.66/62.13 tff('1814', plain, 61.66/62.13 (h3(op1(e11, e13)) = op2(h3(e11), h3(e13))) | ~ (op1(e11, e13) = e13) | 61.66/62.13 ~ (op2(e21, e23) = e23), inference('simplify', [status(thm)], ['1813'])). 61.66/62.13 tff('1815', plain, (e21 = h4(e11)) <= ((op2(e23, e23) = e21)), 61.66/62.13 inference('s_sup+', [status(thm)], ['622', '623'])). 61.66/62.13 tff('1816', plain, (op2(e21, e23) = e21) <= ((op2(e21, e23) = e21)), 61.66/62.13 inference('split', [status(esa)], ['313'])). 61.66/62.13 tff('1817', plain, op2(e21, e23) != op2(e23, e23), 61.66/62.13 inference('cnf', [status(esa)], [ax6])). 61.66/62.13 tff('1818', plain, op2(e23, e23) = h4(e11), 61.66/62.13 inference('cnf', [status(esa)], [ax17])). 61.66/62.13 tff('1819', plain, op2(e21, e23) != h4(e11), 61.66/62.13 inference('demod', [status(thm)], ['1817', '1818'])). 61.66/62.13 tff('1820', plain, (e21 != h4(e11)) <= ((op2(e21, e23) = e21)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1816', '1819'])). 61.66/62.13 tff('1821', plain, 61.66/62.13 (e21 != e21) <= ((op2(e21, e23) = e21) & (op2(e23, e23) = e21)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1815', '1820'])). 61.66/62.13 tff('1822', plain, ~ (op2(e21, e23) = e21) | ~ (op2(e23, e23) = e21), 61.66/62.13 inference('simplify', [status(thm)], ['1821'])). 61.66/62.13 tff('1823', plain, (e21 = h4(e11)) <= ((op2(e23, e23) = e21)), 61.66/62.13 inference('s_sup+', [status(thm)], ['622', '623'])). 61.66/62.13 tff('1824', plain, 61.66/62.13 (e21 != h4(e11)) 61.66/62.13 <= (~ (h3(op1(e13, e13)) = op2(h3(e13), h3(e13))) & 61.66/62.13 (op1(e13, e13) = e11)), 61.66/62.13 inference('demod', [status(thm)], ['463', '464'])). 61.66/62.13 tff('1825', plain, 61.66/62.13 (e21 != e21) 61.66/62.13 <= (~ (h3(op1(e13, e13)) = op2(h3(e13), h3(e13))) & 61.66/62.13 (op2(e23, e23) = e21) & 61.66/62.13 (op1(e13, e13) = e11)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1823', '1824'])). 61.66/62.13 tff('1826', plain, 61.66/62.13 (h3(op1(e13, e13)) = op2(h3(e13), h3(e13))) | ~ (op1(e13, e13) = e11) | 61.66/62.13 ~ (op2(e23, e23) = e21), inference('simplify', [status(thm)], ['1825'])). 61.66/62.13 tff('1827', plain, (e23 = h1(e11)) <= ((e23 = h1(e11))), 61.66/62.13 inference('split', [status(esa)], ['145'])). 61.66/62.13 tff('1828', plain, (e23 != h1(e11)) <= ((e23 = op2(e23, e20))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1158', '1161'])). 61.66/62.13 tff('1829', plain, (e23 != e23) <= ((e23 = h1(e11)) & (e23 = op2(e23, e20))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1827', '1828'])). 61.66/62.13 tff('1830', plain, ~ (e23 = op2(e23, e20)) | ~ (e23 = h1(e11)), 61.66/62.13 inference('simplify', [status(thm)], ['1829'])). 61.66/62.13 tff('1831', plain, (e23 = op2(e23, e20)) <= ((e23 = op2(e23, e20))), 61.66/62.13 inference('split', [status(esa)], ['145'])). 61.66/62.13 tff('1832', plain, (op1(e13, e10) = e13) <= ((op1(e13, e10) = e13)), 61.66/62.13 inference('split', [status(esa)], ['767'])). 61.66/62.13 tff('1833', plain, 61.66/62.13 (h3(op1(e13, e10)) != op2(e23, e20)) 61.66/62.13 <= (~ (h3(op1(e13, e10)) = op2(h3(e13), h3(e10)))), 61.66/62.13 inference('demod', [status(thm)], ['470', '471', '477'])). 61.66/62.13 tff('1834', plain, 61.66/62.13 (h3(e13) != op2(e23, e20)) 61.66/62.13 <= (~ (h3(op1(e13, e10)) = op2(h3(e13), h3(e10))) & 61.66/62.13 (op1(e13, e10) = e13)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1832', '1833'])). 61.66/62.13 tff('1835', plain, e23 = h3(e13), 61.66/62.13 inference('s_sup+', [status(thm)], ['453', '458'])). 61.66/62.13 tff('1836', plain, 61.66/62.13 (e23 != op2(e23, e20)) 61.66/62.13 <= (~ (h3(op1(e13, e10)) = op2(h3(e13), h3(e10))) & 61.66/62.13 (op1(e13, e10) = e13)), 61.66/62.13 inference('demod', [status(thm)], ['1834', '1835'])). 61.66/62.13 tff('1837', plain, 61.66/62.13 (e23 != e23) 61.66/62.13 <= (~ (h3(op1(e13, e10)) = op2(h3(e13), h3(e10))) & 61.66/62.13 (op1(e13, e10) = e13) & 61.66/62.13 (e23 = op2(e23, e20))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1831', '1836'])). 61.66/62.13 tff('1838', plain, 61.66/62.13 (h3(op1(e13, e10)) = op2(h3(e13), h3(e10))) | ~ (op1(e13, e10) = e13) | 61.66/62.13 ~ (e23 = op2(e23, e20)), inference('simplify', [status(thm)], ['1837'])). 61.66/62.13 tff('1839', plain, (e20 = op2(e20, e23)) <= ((op2(e20, e23) = e20)), 61.66/62.13 inference('split', [status(esa)], ['63'])). 61.66/62.13 tff('1840', plain, (op1(e10, e13) = e10) <= ((op1(e10, e13) = e10)), 61.66/62.13 inference('split', [status(esa)], ['1670'])). 61.66/62.13 tff('1841', plain, 61.66/62.13 (op2(e20, e23) != h3(op1(e10, e13))) 61.66/62.13 <= (~ (op2(h3(e10), h3(e13)) = h3(op1(e10, e13)))), 61.66/62.13 inference('demod', [status(thm)], ['546', '547', '548'])). 61.66/62.13 tff('1842', plain, 61.66/62.13 (op2(e20, e23) != h3(e10)) 61.66/62.13 <= (~ (op2(h3(e10), h3(e13)) = h3(op1(e10, e13))) & 61.66/62.13 (op1(e10, e13) = e10)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1840', '1841'])). 61.66/62.13 tff('1843', plain, h3(e10) = e20, 61.66/62.13 inference('s_sup+', [status(thm)], ['472', '476'])). 61.66/62.13 tff('1844', plain, 61.66/62.13 (op2(e20, e23) != e20) 61.66/62.13 <= (~ (op2(h3(e10), h3(e13)) = h3(op1(e10, e13))) & 61.66/62.13 (op1(e10, e13) = e10)), 61.66/62.13 inference('demod', [status(thm)], ['1842', '1843'])). 61.66/62.13 tff('1845', plain, 61.66/62.13 (e20 != e20) 61.66/62.13 <= (~ (op2(h3(e10), h3(e13)) = h3(op1(e10, e13))) & 61.66/62.13 (op1(e10, e13) = e10) & 61.66/62.13 (op2(e20, e23) = e20)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1839', '1844'])). 61.66/62.13 tff('1846', plain, 61.66/62.13 (op2(h3(e10), h3(e13)) = h3(op1(e10, e13))) | ~ (op1(e10, e13) = e10) | 61.66/62.13 ~ (op2(e20, e23) = e20), inference('simplify', [status(thm)], ['1845'])). 61.66/62.13 tff('1847', plain, (e20 = h4(e11)) <= ((e20 = op2(e23, e23))), 61.66/62.13 inference('s_sup+', [status(thm)], ['64', '65'])). 61.66/62.13 tff('1848', plain, (op2(e23, e22) = e20) <= ((op2(e23, e22) = e20)), 61.66/62.13 inference('split', [status(esa)], ['60'])). 61.66/62.13 tff('1849', plain, op2(e23, e23) != op2(e23, e22), 61.66/62.13 inference('cnf', [status(esa)], [ax6])). 61.66/62.13 tff('1850', plain, op2(e23, e23) = h4(e11), 61.66/62.13 inference('cnf', [status(esa)], [ax17])). 61.66/62.13 tff('1851', plain, h4(e11) != op2(e23, e22), 61.66/62.13 inference('demod', [status(thm)], ['1849', '1850'])). 61.66/62.13 tff('1852', plain, (h4(e11) != e20) <= ((op2(e23, e22) = e20)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1848', '1851'])). 61.66/62.13 tff('1853', plain, 61.66/62.13 (e20 != e20) <= ((op2(e23, e22) = e20) & (e20 = op2(e23, e23))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1847', '1852'])). 61.66/62.13 tff('1854', plain, ~ (op2(e23, e22) = e20) | ~ (e20 = op2(e23, e23)), 61.66/62.13 inference('simplify', [status(thm)], ['1853'])). 61.66/62.13 tff('1855', plain, (op2(e23, e22) = e20) <= ((op2(e23, e22) = e20)), 61.66/62.13 inference('split', [status(esa)], ['60'])). 61.66/62.13 tff('1856', plain, (op1(e13, e12) = e10) <= ((op1(e13, e12) = e10)), 61.66/62.13 inference('split', [status(esa)], ['320'])). 61.66/62.13 tff('1857', plain, 61.66/62.13 (op2(e23, e22) != h3(op1(e13, e12))) 61.66/62.13 <= (~ (op2(h3(e13), e22) = h3(op1(e13, e12)))), 61.66/62.13 inference('demod', [status(thm)], ['1239', '1240'])). 61.66/62.13 tff('1858', plain, 61.66/62.13 (op2(e23, e22) != h3(e10)) 61.66/62.13 <= (~ (op2(h3(e13), e22) = h3(op1(e13, e12))) & (op1(e13, e12) = e10)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1856', '1857'])). 61.66/62.13 tff('1859', plain, h3(e10) = e20, 61.66/62.13 inference('s_sup+', [status(thm)], ['472', '476'])). 61.66/62.13 tff('1860', plain, 61.66/62.13 (op2(e23, e22) != e20) 61.66/62.13 <= (~ (op2(h3(e13), e22) = h3(op1(e13, e12))) & (op1(e13, e12) = e10)), 61.66/62.13 inference('demod', [status(thm)], ['1858', '1859'])). 61.66/62.13 tff('1861', plain, 61.66/62.13 (e20 != e20) 61.66/62.13 <= (~ (op2(h3(e13), e22) = h3(op1(e13, e12))) & 61.66/62.13 (op2(e23, e22) = e20) & 61.66/62.13 (op1(e13, e12) = e10)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1855', '1860'])). 61.66/62.13 tff('1862', plain, 61.66/62.13 (op2(h3(e13), e22) = h3(op1(e13, e12))) | ~ (op1(e13, e12) = e10) | 61.66/62.13 ~ (op2(e23, e22) = e20), inference('simplify', [status(thm)], ['1861'])). 61.66/62.13 tff('1863', plain, 61.66/62.13 (e20 = op2(e20, e20) 61.66/62.13 | op2(e20, e23) = e20 61.66/62.13 | op2(e20, e22) = e20 61.66/62.13 | e20 = op2(e20, e21)), 61.66/62.13 inference('cnf', [status(esa)], [ax4])). 61.66/62.13 tff('1864', plain, 61.66/62.13 (op2(e20, e22) = e20) | (e20 = op2(e20, e20)) | (e20 = op2(e20, e21)) | 61.66/62.13 (op2(e20, e23) = e20), inference('split', [status(esa)], ['1863'])). 61.66/62.13 tff('1865', plain, 61.66/62.13 (op2(e21, e22) = e20 61.66/62.13 | op2(e22, e22) = e20 61.66/62.13 | op2(e23, e22) = e20 61.66/62.13 | op2(e20, e22) = e20), 61.66/62.13 inference('cnf', [status(esa)], [ax4])). 61.66/62.13 tff('1866', plain, 61.66/62.13 (op2(e20, e22) = e20) | (op2(e23, e22) = e20) | (op2(e21, e22) = e20) | 61.66/62.13 (op2(e22, e22) = e20), inference('split', [status(esa)], ['1865'])). 61.66/62.13 tff(zf_stmt_23, axiom, 61.66/62.13 (zip_tseitin_58 => 61.66/62.13 (((e20 != op2(e22,e22)) | (op2(e22,e20) = e22)) & 61.66/62.13 ((e20 != op2(e23,e23)) | (e23 = op2(e23,e20))) & 61.66/62.13 ((e21 = op2(e21,e20)) | (e20 != op2(e21,e21))) & 61.66/62.13 ((e20 != op2(e20,e20)) | (op2(e20,e20) = e20)) & (e20 = op2(e23,e23))))). 61.66/62.13 tff('1867', plain, 61.66/62.13 (e20 != op2(e21, e21) | e21 = op2(e21, e20) | ~ zip_tseitin_58), 61.66/62.13 inference('cnf', [status(esa)], [zf_stmt_23])). 61.66/62.13 tff('1868', plain, op2(e21, e21) = h2(e11), 61.66/62.13 inference('cnf', [status(esa)], [ax15])). 61.66/62.13 tff('1869', plain, (e20 != h2(e11) | e21 = op2(e21, e20) | ~ zip_tseitin_58), 61.66/62.13 inference('demod', [status(thm)], ['1867', '1868'])). 61.66/62.13 tff('1870', plain, 61.66/62.13 ~ ( zip_tseitin_58) | (e21 = op2(e21, e20)) | ~ (h2(e11) = e20), 61.66/62.13 inference('split', [status(esa)], ['1869'])). 61.66/62.13 tff(zf_stmt_24, axiom, 61.66/62.13 (zip_tseitin_62 => 61.66/62.13 ((op2(e21,e21) = e20) & ((e20 != op2(e23,e23)) | (op2(e23,e20) = e23)) & 61.66/62.13 ((op2(e22,e20) = e22) | (e20 != op2(e22,e22))) & 61.66/62.13 ((op2(e21,e21) != e20) | (op2(e21,e20) = e21)) & 61.66/62.13 ((e20 != op2(e20,e20)) | (op2(e20,e20) = e20))))). 61.66/62.13 tff('1871', plain, 61.66/62.13 (op2(e21, e20) = e21 | op2(e21, e21) != e20 | ~ zip_tseitin_62), 61.66/62.13 inference('cnf', [status(esa)], [zf_stmt_24])). 61.66/62.13 tff('1872', plain, 61.66/62.13 (e21 = op2(e21, e20)) | ~ ( zip_tseitin_62) | ~ (op2(e21, e21) = e20), 61.66/62.13 inference('split', [status(esa)], ['1871'])). 61.66/62.13 tff('1873', plain, 61.66/62.13 (op2(e23, e21) = e20 61.66/62.13 | e20 = op2(e22, e21) 61.66/62.13 | op2(e21, e21) = e20 61.66/62.13 | e20 = op2(e20, e21)), 61.66/62.13 inference('cnf', [status(esa)], [ax4])). 61.66/62.13 tff('1874', plain, 61.66/62.13 (op2(e21, e21) = e20) | (e20 = op2(e20, e21)) | (op2(e23, e21) = e20) | 61.66/62.13 (e20 = op2(e22, e21)), inference('split', [status(esa)], ['1873'])). 61.66/62.13 tff('1875', plain, (e23 = op2(e23, e20)) <= ((e23 = op2(e23, e20))), 61.66/62.13 inference('split', [status(esa)], ['145'])). 61.66/62.13 tff('1876', plain, (e22 = op2(e23, e20)) <= ((e22 = op2(e23, e20))), 61.66/62.13 inference('split', [status(esa)], ['272'])). 61.66/62.13 tff('1877', plain, 61.66/62.13 (e22 = e23) <= ((e23 = op2(e23, e20)) & (e22 = op2(e23, e20))), 61.66/62.13 inference('s_sup+', [status(thm)], ['1875', '1876'])). 61.66/62.13 tff('1878', plain, e22 != e23, inference('cnf', [status(esa)], [ax8])). 61.66/62.13 tff('1879', plain, ~ (e22 = op2(e23, e20)) | ~ (e23 = op2(e23, e20)), 61.66/62.13 inference('simplify_reflect-', [status(thm)], ['1877', '1878'])). 61.66/62.13 tff(zf_stmt_25, axiom, 61.66/62.13 (zip_tseitin_48 => 61.66/62.13 ((e21 = op2(e20,e20)) & ((e21 != op2(e20,e20)) | (e20 = op2(e20,e21))) & 61.66/62.13 ((op2(e21,e21) != e21) | (op2(e21,e21) = e21)) & 61.66/62.13 ((op2(e22,e21) = e22) | (op2(e22,e22) != e21)) & 61.66/62.13 ((e23 = op2(e23,e21)) | (e21 != op2(e23,e23)))))). 61.66/62.13 tff('1880', plain, 61.66/62.13 (op2(e22, e22) != e21 | op2(e22, e21) = e22 | ~ zip_tseitin_48), 61.66/62.13 inference('cnf', [status(esa)], [zf_stmt_25])). 61.66/62.13 tff('1881', plain, e21 = op2(e22, e22), 61.66/62.13 inference('cnf', [status(esa)], [ax13])). 61.66/62.13 tff('1882', plain, (e21 != e21 | op2(e22, e21) = e22 | ~ zip_tseitin_48), 61.66/62.13 inference('demod', [status(thm)], ['1880', '1881'])). 61.66/62.13 tff('1883', plain, (~ zip_tseitin_48 | op2(e22, e21) = e22), 61.66/62.13 inference('simplify', [status(thm)], ['1882'])). 61.66/62.13 tff('1884', plain, ~ ( zip_tseitin_48) | (op2(e22, e21) = e22), 61.66/62.13 inference('split', [status(esa)], ['1883'])). 61.66/62.13 tff('1885', plain, e21 = op2(e22, e22), 61.66/62.13 inference('cnf', [status(esa)], [ax13])). 61.66/62.13 tff(zf_stmt_26, axiom, 61.66/62.13 (zip_tseitin_59 => 61.66/62.13 ((e23 = op2(e22,e22)) & ((e21 = op2(e21,e23)) | (op2(e21,e21) != e23)) & 61.66/62.13 ((op2(e23,e23) != e23) | (op2(e23,e23) = e23)) & 61.66/62.13 ((op2(e22,e23) = e22) | (op2(e22,e22) != e23)) & 61.66/62.13 ((op2(e20,e23) = e20) | (op2(e20,e20) != e23))))). 61.66/62.13 tff('1886', plain, (e23 = op2(e22, e22) | ~ zip_tseitin_59), 61.66/62.13 inference('cnf', [status(esa)], [zf_stmt_26])). 61.66/62.13 tff('1887', plain, (e23 = op2(e22, e22)) <= ((e23 = op2(e22, e22))), 61.66/62.13 inference('split', [status(esa)], ['1886'])). 61.66/62.13 tff('1888', plain, (e23 = e21) <= ((e23 = op2(e22, e22))), 61.66/62.13 inference('s_sup+', [status(thm)], ['1885', '1887'])). 61.66/62.13 tff('1889', plain, e23 != e21, inference('cnf', [status(esa)], [ax8])). 61.66/62.13 tff('1890', plain, ~ (e23 = op2(e22, e22)), 61.66/62.13 inference('simplify_reflect-', [status(thm)], ['1888', '1889'])). 61.66/62.13 tff('1891', plain, ~ ( zip_tseitin_59) | (e23 = op2(e22, e22)), 61.66/62.13 inference('split', [status(esa)], ['1886'])). 61.66/62.13 tff(zf_stmt_27, axiom, 61.66/62.13 (zip_tseitin_51 => 61.66/62.13 (((e23 != op2(e21,e21)) | (op2(e21,e23) = e21)) & 61.66/62.13 ((op2(e23,e23) = e23) | (e23 != op2(e23,e23))) & 61.66/62.13 ((e23 != op2(e22,e22)) | (e22 = op2(e22,e23))) & 61.66/62.13 ((e23 != op2(e20,e20)) | (op2(e20,e23) = e20)) & (op2(e21,e21) = e23)))). 61.66/62.13 tff('1892', plain, (op2(e21, e21) = e23 | ~ zip_tseitin_51), 61.66/62.13 inference('cnf', [status(esa)], [zf_stmt_27])). 61.66/62.13 tff('1893', plain, ~ ( zip_tseitin_51) | (op2(e21, e21) = e23), 61.66/62.13 inference('split', [status(esa)], ['1892'])). 61.66/62.13 tff(zf_stmt_28, axiom, 61.66/62.13 (zip_tseitin_55 => 61.66/62.13 ((op2(e23,e23) = e23) & ((e20 = op2(e20,e23)) | (e23 != op2(e20,e20))) & 61.66/62.13 ((e23 != op2(e21,e21)) | (e21 = op2(e21,e23))) & 61.66/62.13 ((op2(e22,e23) = e22) | (op2(e22,e22) != e23)) & 61.66/62.13 ((op2(e23,e23) = e23) | (e23 != op2(e23,e23)))))). 61.66/62.13 tff('1894', plain, (op2(e23, e23) = e23 | ~ zip_tseitin_55), 61.66/62.13 inference('cnf', [status(esa)], [zf_stmt_28])). 61.66/62.13 tff('1895', plain, ~ ( zip_tseitin_55) | (e23 = op2(e23, e23)), 61.66/62.13 inference('split', [status(esa)], ['1894'])). 61.66/62.13 tff(zf_stmt_29, axiom, 61.66/62.13 (zip_tseitin_52 => 61.66/62.13 (((e23 = op2(e23,e20)) | (e20 != op2(e23,e23))) & 61.66/62.13 ((op2(e22,e20) = e22) | (op2(e22,e22) != e20)) & 61.66/62.13 ((e20 != op2(e21,e21)) | (e21 = op2(e21,e20))) & 61.66/62.13 ((e20 = op2(e20,e20)) | (e20 != op2(e20,e20))) & (op2(e22,e22) = e20)))). 61.66/62.13 tff('1896', plain, (op2(e22, e22) = e20 | ~ zip_tseitin_52), 61.66/62.13 inference('cnf', [status(esa)], [zf_stmt_29])). 61.66/62.13 tff('1897', plain, ~ ( zip_tseitin_52) | (op2(e22, e22) = e20), 61.66/62.13 inference('split', [status(esa)], ['1896'])). 61.66/62.13 tff(zf_stmt_30, axiom, 61.66/62.13 (zip_tseitin_57 => 61.66/62.13 (((op2(e22,e22) != e21) | (op2(e22,e21) = e22)) & 61.66/62.13 ((op2(e23,e23) != e21) | (e23 = op2(e23,e21))) & 61.66/62.13 ((op2(e21,e21) != e21) | (e21 = op2(e21,e21))) & 61.66/62.13 ((op2(e20,e20) != e21) | (e20 = op2(e20,e21))) & (op2(e23,e23) = e21)))). 61.66/62.13 tff('1898', plain, 61.66/62.13 (op2(e22, e21) = e22 | op2(e22, e22) != e21 | ~ zip_tseitin_57), 61.66/62.13 inference('cnf', [status(esa)], [zf_stmt_30])). 61.66/62.13 tff('1899', plain, e21 = op2(e22, e22), 61.66/62.13 inference('cnf', [status(esa)], [ax13])). 61.66/62.13 tff('1900', plain, (op2(e22, e21) = e22 | e21 != e21 | ~ zip_tseitin_57), 61.66/62.13 inference('demod', [status(thm)], ['1898', '1899'])). 61.66/62.13 tff('1901', plain, (~ zip_tseitin_57 | op2(e22, e21) = e22), 61.66/62.13 inference('simplify', [status(thm)], ['1900'])). 61.66/62.13 tff('1902', plain, ~ ( zip_tseitin_57) | (op2(e22, e21) = e22), 61.66/62.13 inference('split', [status(esa)], ['1901'])). 61.66/62.13 tff(zf_stmt_31, axiom, 61.66/62.13 (zip_tseitin_54 => 61.66/62.13 (((op2(e23,e23) != e22) | (e23 = op2(e23,e22))) & 61.66/62.13 ((op2(e22,e22) != e22) | (e22 = op2(e22,e22))) & 61.66/62.13 ((e21 = op2(e21,e22)) | (e22 != op2(e21,e21))) & 61.66/62.13 ((e20 = op2(e20,e22)) | (op2(e20,e20) != e22)) & (op2(e22,e22) = e22)))). 61.66/62.13 tff('1903', plain, (op2(e22, e22) = e22 | ~ zip_tseitin_54), 61.66/62.13 inference('cnf', [status(esa)], [zf_stmt_31])). 61.66/62.13 tff('1904', plain, ~ ( zip_tseitin_54) | (e22 = op2(e22, e22)), 61.66/62.13 inference('split', [status(esa)], ['1903'])). 61.66/62.13 tff('1905', plain, op2(e21, e21) = e20, 61.66/62.13 inference('demod', [status(thm)], ['150', '151', '152'])). 61.66/62.13 tff(zf_stmt_32, axiom, 61.66/62.13 (zip_tseitin_60 => 61.66/62.13 ((op2(e21,e21) = e22) & ((op2(e21,e22) = e21) | (e22 != op2(e21,e21))) & 61.66/62.13 ((e22 != op2(e23,e23)) | (e23 = op2(e23,e22))) & 61.66/62.13 ((op2(e22,e22) != e22) | (op2(e22,e22) = e22)) & 61.66/62.13 ((e22 != op2(e20,e20)) | (op2(e20,e22) = e20))))). 61.66/62.13 tff('1906', plain, (op2(e21, e21) = e22 | ~ zip_tseitin_60), 61.66/62.13 inference('cnf', [status(esa)], [zf_stmt_32])). 61.66/62.13 tff('1907', plain, (op2(e21, e21) = e22) <= ((op2(e21, e21) = e22)), 61.66/62.13 inference('split', [status(esa)], ['1906'])). 61.66/62.13 tff('1908', plain, (e20 = e22) <= ((op2(e21, e21) = e22)), 61.66/62.13 inference('s_sup+', [status(thm)], ['1905', '1907'])). 61.66/62.13 tff('1909', plain, e22 != e20, inference('cnf', [status(esa)], [ax8])). 61.66/62.13 tff('1910', plain, ~ (op2(e21, e21) = e22), 61.66/62.13 inference('simplify_reflect-', [status(thm)], ['1908', '1909'])). 61.66/62.13 tff('1911', plain, ~ ( zip_tseitin_60) | (op2(e21, e21) = e22), 61.66/62.13 inference('split', [status(esa)], ['1906'])). 61.66/62.13 tff(zf_stmt_33, axiom, 61.66/62.13 (zip_tseitin_61 => 61.66/62.13 ((op2(e21,e21) = e21) & ((e21 != op2(e20,e20)) | (op2(e20,e21) = e20)) & 61.66/62.13 ((e21 != op2(e21,e21)) | (e21 = op2(e21,e21))) & 61.66/62.13 ((e21 != op2(e22,e22)) | (op2(e22,e21) = e22)) & 61.66/62.13 ((e23 = op2(e23,e21)) | (op2(e23,e23) != e21))))). 61.66/62.13 tff('1912', plain, 61.66/62.13 (op2(e22, e21) = e22 | e21 != op2(e22, e22) | ~ zip_tseitin_61), 61.66/62.13 inference('cnf', [status(esa)], [zf_stmt_33])). 61.66/62.13 tff('1913', plain, e21 = op2(e22, e22), 61.66/62.13 inference('cnf', [status(esa)], [ax13])). 61.66/62.13 tff('1914', plain, (op2(e22, e21) = e22 | e21 != e21 | ~ zip_tseitin_61), 61.66/62.13 inference('demod', [status(thm)], ['1912', '1913'])). 61.66/62.13 tff('1915', plain, (~ zip_tseitin_61 | op2(e22, e21) = e22), 61.66/62.13 inference('simplify', [status(thm)], ['1914'])). 61.66/62.13 tff('1916', plain, ~ ( zip_tseitin_61) | (op2(e22, e21) = e22), 61.66/62.13 inference('split', [status(esa)], ['1915'])). 61.66/62.13 tff(zf_stmt_34, axiom, 61.66/62.13 (zip_tseitin_53 => 61.66/62.13 ((e21 = op2(e22,e22)) & ((op2(e20,e21) = e20) | (e21 != op2(e20,e20))) & 61.66/62.13 ((e23 = op2(e23,e21)) | (op2(e23,e23) != e21)) & 61.66/62.13 ((op2(e22,e21) = e22) | (e21 != op2(e22,e22))) & 61.66/62.13 ((op2(e21,e21) != e21) | (op2(e21,e21) = e21))))). 61.66/62.13 tff('1917', plain, 61.66/62.13 (e21 != op2(e22, e22) | op2(e22, e21) = e22 | ~ zip_tseitin_53), 61.66/62.13 inference('cnf', [status(esa)], [zf_stmt_34])). 61.66/62.13 tff('1918', plain, e21 = op2(e22, e22), 61.66/62.13 inference('cnf', [status(esa)], [ax13])). 61.66/62.13 tff('1919', plain, (e21 != e21 | op2(e22, e21) = e22 | ~ zip_tseitin_53), 61.66/62.13 inference('demod', [status(thm)], ['1917', '1918'])). 61.66/62.13 tff('1920', plain, (~ zip_tseitin_53 | op2(e22, e21) = e22), 61.66/62.13 inference('simplify', [status(thm)], ['1919'])). 61.66/62.13 tff('1921', plain, ~ ( zip_tseitin_53) | (op2(e22, e21) = e22), 61.66/62.13 inference('split', [status(esa)], ['1920'])). 61.66/62.13 tff('1922', plain, 61.66/62.13 (op2(e23, e20) = e23 | e20 != op2(e23, e23) | ~ zip_tseitin_62), 61.66/62.13 inference('cnf', [status(esa)], [zf_stmt_24])). 61.66/62.13 tff('1923', plain, 61.66/62.13 ~ (e20 = op2(e23, e23)) | ~ ( zip_tseitin_62) | (e23 = op2(e23, e20)), 61.66/62.13 inference('split', [status(esa)], ['1922'])). 61.66/62.13 tff('1924', plain, 61.66/62.13 (e23 = op2(e23, e20) | e20 != op2(e23, e23) | ~ zip_tseitin_58), 61.66/62.13 inference('cnf', [status(esa)], [zf_stmt_23])). 61.66/62.13 tff('1925', plain, op2(e23, e23) = h4(e11), 61.66/62.13 inference('cnf', [status(esa)], [ax17])). 61.66/62.13 tff('1926', plain, (e23 = op2(e23, e20) | e20 != h4(e11) | ~ zip_tseitin_58), 61.66/62.13 inference('demod', [status(thm)], ['1924', '1925'])). 61.66/62.13 tff('1927', plain, 61.66/62.13 ~ ( zip_tseitin_58) | (e23 = op2(e23, e20)) | ~ (h4(e11) = e20), 61.66/62.13 inference('split', [status(esa)], ['1926'])). 61.66/62.13 tff('1928', plain, ~ ( zip_tseitin_50) | (op2(e20, e20) = e23), 61.66/62.13 inference('split', [status(esa)], ['988'])). 61.66/62.13 tff('1929', plain, 61.66/62.13 (e20 = op2(e20, e23) | e23 != op2(e20, e20) | ~ zip_tseitin_50), 61.66/62.13 inference('cnf', [status(esa)], [zf_stmt_14])). 61.66/62.13 tff('1930', plain, 61.66/62.13 ~ ( zip_tseitin_50) | ~ (op2(e20, e20) = e23) | (op2(e20, e23) = e20), 61.66/62.13 inference('split', [status(esa)], ['1929'])). 61.66/62.13 tff('1931', plain, ~ ( zip_tseitin_49) | (e22 = op2(e20, e20)), 61.66/62.13 inference('split', [status(esa)], ['129'])). 61.66/62.13 tff('1932', plain, (h1(e11) = e22) <= ((e22 = op2(e20, e20))), 61.66/62.13 inference('s_sup+', [status(thm)], ['1464', '1465'])). 61.66/62.13 tff('1933', plain, 61.66/62.13 (op2(e20, e22) != e20 | op2(e20, e20) != e22 | ~ zip_tseitin_32), 61.66/62.13 inference('cnf', [status(esa)], [zf_stmt_16])). 61.66/62.13 tff('1934', plain, h1(e11) = op2(e20, e20), 61.66/62.13 inference('cnf', [status(esa)], [ax14])). 61.66/62.13 tff('1935', plain, 61.66/62.13 (op2(e20, e22) != e20 | h1(e11) != e22 | ~ zip_tseitin_32), 61.66/62.13 inference('demod', [status(thm)], ['1933', '1934'])). 61.66/62.13 tff('1936', plain, (h1(e11) != e22) <= (~ (h1(e11) = e22)), 61.66/62.13 inference('split', [status(esa)], ['1935'])). 61.66/62.13 tff('1937', plain, 61.66/62.13 (e22 != e22) <= (~ (h1(e11) = e22) & (e22 = op2(e20, e20))), 61.66/62.13 inference('s_sup-', [status(thm)], ['1932', '1936'])). 61.66/62.13 tff('1938', plain, ~ (e22 = op2(e20, e20)) | (h1(e11) = e22), 61.66/62.13 inference('simplify', [status(thm)], ['1937'])). 61.66/62.13 tff('1939', plain, (op2(e23, e20) = e21) <= ((op2(e23, e20) = e21)), 61.66/62.13 inference('split', [status(esa)], ['165'])). 61.66/62.13 tff('1940', plain, (e23 = h2(e13)) <= ((op2(e21, e20) = e23)), 61.66/62.13 inference('s_sup+', [status(thm)], ['146', '156'])). 61.66/62.13 tff('1941', plain, (op1(e13, e11) = e12) <= ((op1(e13, e11) = e12)), 61.66/62.13 inference('split', [status(esa)], ['175'])). 61.66/62.13 tff('1942', plain, 61.66/62.13 (h2(op1(e10, e13)) != op2(h2(e10), h2(e13)) 61.66/62.13 | op2(h2(e11), h2(e10)) != h2(op1(e11, e10)) 61.66/62.13 | h2(op1(e11, e11)) != op2(h2(e11), h2(e11)) 61.66/62.13 | op2(h2(e11), h2(e13)) != h2(op1(e11, e13)) 61.66/62.13 | op2(h2(e12), h2(e10)) != h2(op1(e12, e10)) 61.66/62.13 | op2(h2(e12), h2(e12)) != h2(op1(e12, e12)) 61.66/62.13 | h2(op1(e13, e10)) != op2(h2(e13), h2(e10)) 61.66/62.13 | h2(op1(e13, e11)) != op2(h2(e13), h2(e11)) 61.66/62.13 | h2(op1(e13, e13)) != op2(h2(e13), h2(e13)) 61.66/62.13 | e22 != h2(e10) 61.66/62.13 | h2(e13) != e23 61.66/62.13 | e21 != h2(e13) 61.66/62.13 | h2(e10) != e20 61.66/62.13 | op2(h2(e13), h2(e12)) != h2(op1(e13, e12)) 61.66/62.13 | h2(op1(e12, e13)) != op2(h2(e12), h2(e13)) 61.66/62.13 | op2(h2(e12), h2(e11)) != h2(op1(e12, e11)) 61.66/62.13 | op2(h2(e11), h2(e12)) != h2(op1(e11, e12)) 61.66/62.13 | op2(h2(e10), h2(e12)) != h2(op1(e10, e12)) 61.66/62.13 | op2(h2(e10), h2(e11)) != h2(op1(e10, e11)) 61.66/62.13 | op2(h2(e10), h2(e10)) != h2(op1(e10, e10))), 61.66/62.13 inference('cnf', [status(esa)], [zf_stmt_5])). 61.66/62.13 tff('1943', plain, e10 = op1(e11, e11), 61.66/62.13 inference('demod', [status(thm)], ['4', '5', '6'])). 61.66/62.13 tff('1944', plain, op2(h2(e11), h2(e11)) = h2(e10), 61.66/62.13 inference('demod', [status(thm)], ['509', '510', '511'])). 61.66/62.13 tff('1945', plain, e21 = h2(e12), inference('cnf', [status(esa)], [ax15])). 61.66/62.13 tff('1946', plain, e21 = h2(e12), inference('cnf', [status(esa)], [ax15])). 61.66/62.13 tff('1947', plain, e21 = h2(e12), inference('cnf', [status(esa)], [ax15])). 61.66/62.13 tff('1948', plain, op2(e21, e21) = h2(e11), 61.66/62.13 inference('cnf', [status(esa)], [ax15])). 61.66/62.13 tff('1949', plain, e11 = op1(e12, e12), 61.66/62.13 inference('cnf', [status(esa)], [ax12])). 61.66/62.13 tff('1950', plain, e21 = h2(e12), inference('cnf', [status(esa)], [ax15])). 61.66/62.13 tff('1951', plain, e21 = h2(e12), inference('cnf', [status(esa)], [ax15])). 61.66/62.13 tff('1952', plain, e21 = h2(e12), inference('cnf', [status(esa)], [ax15])). 61.66/62.13 tff('1953', plain, op2(e21, h2(e11)) = h2(e13), 61.66/62.13 inference('demod', [status(thm)], ['147', '148'])). 61.66/62.13 tff('1954', plain, op1(e12, e11) = e13, 61.66/62.13 inference('demod', [status(thm)], ['10', '11'])). 61.66/62.13 tff('1955', plain, e21 = h2(e12), inference('cnf', [status(esa)], [ax15])). 61.66/62.13 tff('1956', plain, e21 = h2(e12), inference('cnf', [status(esa)], [ax15])). 61.66/62.13 tff('1957', plain, 61.66/62.13 (h2(op1(e10, e13)) != op2(h2(e10), h2(e13)) 61.66/62.13 | op2(h2(e11), h2(e10)) != h2(op1(e11, e10)) 61.66/62.13 | h2(e10) != h2(e10) 61.66/62.13 | op2(h2(e11), h2(e13)) != h2(op1(e11, e13)) 61.66/62.13 | op2(e21, h2(e10)) != h2(op1(e12, e10)) 61.66/62.13 | h2(e11) != h2(e11) 61.66/62.13 | h2(op1(e13, e10)) != op2(h2(e13), h2(e10)) 61.66/62.13 | h2(op1(e13, e11)) != op2(h2(e13), h2(e11)) 61.66/62.13 | h2(op1(e13, e13)) != op2(h2(e13), h2(e13)) 61.66/62.13 | e22 != h2(e10) 61.66/62.13 | h2(e13) != e23 61.66/62.13 | e21 != h2(e13) 61.66/62.13 | h2(e10) != e20 61.66/62.13 | op2(h2(e13), e21) != h2(op1(e13, e12)) 61.66/62.13 | h2(op1(e12, e13)) != op2(e21, h2(e13)) 61.66/62.13 | h2(e13) != h2(e13) 61.66/62.13 | op2(h2(e11), e21) != h2(op1(e11, e12)) 61.66/62.13 | op2(h2(e10), e21) != h2(op1(e10, e12)) 61.66/62.13 | op2(h2(e10), h2(e11)) != h2(op1(e10, e11)) 61.66/62.13 | op2(h2(e10), h2(e10)) != h2(op1(e10, e10))), 61.66/62.13 inference('demod', [status(thm)], 61.66/62.13 ['1942', '1943', '1944', '1945', '1946', '1947', '1948', 61.66/62.13 '1949', '1950', '1951', '1952', '1953', '1954', '1955', '1956'])). 61.66/62.13 tff('1958', plain, 61.66/62.13 (op2(h2(e10), h2(e10)) != h2(op1(e10, e10)) 61.66/62.13 | op2(h2(e10), h2(e11)) != h2(op1(e10, e11)) 61.66/62.13 | op2(h2(e10), e21) != h2(op1(e10, e12)) 61.66/62.13 | op2(h2(e11), e21) != h2(op1(e11, e12)) 61.66/62.13 | h2(op1(e12, e13)) != op2(e21, h2(e13)) 61.66/62.13 | op2(h2(e13), e21) != h2(op1(e13, e12)) 61.66/62.13 | h2(e10) != e20 61.66/62.13 | e21 != h2(e13) 61.66/62.13 | h2(e13) != e23 61.66/62.13 | e22 != h2(e10) 61.66/62.13 | h2(op1(e13, e13)) != op2(h2(e13), h2(e13)) 61.66/62.13 | h2(op1(e13, e11)) != op2(h2(e13), h2(e11)) 61.66/62.13 | h2(op1(e13, e10)) != op2(h2(e13), h2(e10)) 61.66/62.13 | op2(e21, h2(e10)) != h2(op1(e12, e10)) 61.66/62.13 | op2(h2(e11), h2(e13)) != h2(op1(e11, e13)) 61.66/62.13 | op2(h2(e11), h2(e10)) != h2(op1(e11, e10)) 61.66/62.13 | h2(op1(e10, e13)) != op2(h2(e10), h2(e13))), 61.66/62.13 inference('simplify', [status(thm)], ['1957'])). 61.66/62.13 tff('1959', plain, 61.66/62.13 (h2(op1(e13, e11)) != op2(h2(e13), h2(e11))) 61.66/62.13 <= (~ (h2(op1(e13, e11)) = op2(h2(e13), h2(e11)))), 61.66/62.13 inference('split', [status(esa)], ['1958'])). 61.66/62.13 tff('1960', plain, e20 = h2(e11), 61.66/62.13 inference('s_sup+', [status(thm)], ['153', '154'])). 61.66/62.13 tff('1961', plain, 61.66/62.13 (h2(op1(e13, e11)) != op2(h2(e13), e20)) 61.66/62.13 <= (~ (h2(op1(e13, e11)) = op2(h2(e13), h2(e11)))), 61.66/62.13 inference('demod', [status(thm)], ['1959', '1960'])). 61.66/62.13 tff('1962', plain, 61.66/62.13 (h2(e12) != op2(h2(e13), e20)) 61.66/62.13 <= (~ (h2(op1(e13, e11)) = op2(h2(e13), h2(e11))) & 61.66/62.13 (op1(e13, e11) = e12)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1941', '1961'])). 61.66/62.13 tff('1963', plain, e21 = h2(e12), inference('cnf', [status(esa)], [ax15])). 61.66/62.13 tff('1964', plain, 61.66/62.13 (e21 != op2(h2(e13), e20)) 61.66/62.13 <= (~ (h2(op1(e13, e11)) = op2(h2(e13), h2(e11))) & 61.66/62.13 (op1(e13, e11) = e12)), 61.66/62.13 inference('demod', [status(thm)], ['1962', '1963'])). 61.66/62.13 tff('1965', plain, 61.66/62.13 (e21 != op2(e23, e20)) 61.66/62.13 <= (~ (h2(op1(e13, e11)) = op2(h2(e13), h2(e11))) & 61.66/62.13 (op2(e21, e20) = e23) & 61.66/62.13 (op1(e13, e11) = e12)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1940', '1964'])). 61.66/62.13 tff('1966', plain, 61.66/62.13 (e21 != e21) 61.66/62.13 <= (~ (h2(op1(e13, e11)) = op2(h2(e13), h2(e11))) & 61.66/62.13 (op2(e21, e20) = e23) & 61.66/62.13 (op2(e23, e20) = e21) & 61.66/62.13 (op1(e13, e11) = e12)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1939', '1965'])). 61.66/62.13 tff('1967', plain, 61.66/62.13 (h2(op1(e13, e11)) = op2(h2(e13), h2(e11))) | ~ (op2(e21, e20) = e23) | 61.66/62.13 ~ (op1(e13, e11) = e12) | ~ (op2(e23, e20) = e21), 61.66/62.13 inference('simplify', [status(thm)], ['1966'])). 61.66/62.13 tff('1968', plain, (e23 = op2(e23, e22)) <= ((op2(e23, e22) = e23)), 61.66/62.13 inference('split', [status(esa)], ['124'])). 61.66/62.13 tff('1969', plain, (e22 = h1(e11)) <= ((h1(e11) = e22)), 61.66/62.13 inference('split', [status(esa)], ['50'])). 61.66/62.13 tff('1970', plain, (e23 = h2(e13)) <= ((op2(e21, e20) = e23)), 61.66/62.13 inference('s_sup+', [status(thm)], ['146', '156'])). 61.66/62.13 tff('1971', plain, (op1(e13, e10) = e13) <= ((op1(e13, e10) = e13)), 61.66/62.13 inference('split', [status(esa)], ['767'])). 61.66/62.13 tff('1972', plain, 61.66/62.13 (h2(op1(e13, e10)) != op2(h2(e13), h2(e10))) 61.66/62.13 <= (~ (h2(op1(e13, e10)) = op2(h2(e13), h2(e10)))), 61.66/62.13 inference('split', [status(esa)], ['1958'])). 61.66/62.13 tff('1973', plain, 61.66/62.13 (h2(e13) != op2(h2(e13), h2(e10))) 61.66/62.13 <= (~ (h2(op1(e13, e10)) = op2(h2(e13), h2(e10))) & 61.66/62.13 (op1(e13, e10) = e13)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1971', '1972'])). 61.66/62.13 tff('1974', plain, h1(e11) = h2(e10), 61.66/62.13 inference('s_sup+', [status(thm)], ['520', '521'])). 61.66/62.13 tff('1975', plain, 61.66/62.13 (h2(e13) != op2(h2(e13), h1(e11))) 61.66/62.13 <= (~ (h2(op1(e13, e10)) = op2(h2(e13), h2(e10))) & 61.66/62.13 (op1(e13, e10) = e13)), 61.66/62.13 inference('demod', [status(thm)], ['1973', '1974'])). 61.66/62.13 tff('1976', plain, 61.66/62.13 (e23 != op2(e23, h1(e11))) 61.66/62.13 <= (~ (h2(op1(e13, e10)) = op2(h2(e13), h2(e10))) & 61.66/62.13 (op1(e13, e10) = e13) & 61.66/62.13 (op2(e21, e20) = e23)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1970', '1975'])). 61.66/62.13 tff('1977', plain, 61.66/62.13 (e23 != op2(e23, e22)) 61.66/62.13 <= (~ (h2(op1(e13, e10)) = op2(h2(e13), h2(e10))) & 61.66/62.13 (op1(e13, e10) = e13) & 61.66/62.13 (op2(e21, e20) = e23) & 61.66/62.13 (h1(e11) = e22)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1969', '1976'])). 61.66/62.13 tff('1978', plain, 61.66/62.13 (e23 != e23) 61.66/62.13 <= (~ (h2(op1(e13, e10)) = op2(h2(e13), h2(e10))) & 61.66/62.13 (op1(e13, e10) = e13) & 61.66/62.13 (op2(e21, e20) = e23) & 61.66/62.13 (h1(e11) = e22) & 61.66/62.13 (op2(e23, e22) = e23)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1968', '1977'])). 61.66/62.13 tff('1979', plain, 61.66/62.13 ~ (op1(e13, e10) = e13) | (h2(op1(e13, e10)) = op2(h2(e13), h2(e10))) | 61.66/62.13 ~ (h1(e11) = e22) | ~ (op2(e23, e22) = e23) | ~ (op2(e21, e20) = e23), 61.66/62.13 inference('simplify', [status(thm)], ['1978'])). 61.66/62.13 tff('1980', plain, (op2(e22, e23) = e22) <= ((op2(e22, e23) = e22)), 61.66/62.13 inference('split', [status(esa)], ['212'])). 61.66/62.13 tff('1981', plain, (e23 = h2(e13)) <= ((op2(e21, e20) = e23)), 61.66/62.13 inference('s_sup+', [status(thm)], ['146', '156'])). 61.66/62.13 tff('1982', plain, (e22 = h1(e11)) <= ((h1(e11) = e22)), 61.66/62.13 inference('split', [status(esa)], ['50'])). 61.66/62.13 tff('1983', plain, (op1(e10, e13) = e10) <= ((op1(e10, e13) = e10)), 61.66/62.13 inference('split', [status(esa)], ['1670'])). 61.66/62.13 tff('1984', plain, 61.66/62.13 (h2(op1(e10, e13)) != op2(h2(e10), h2(e13))) 61.66/62.13 <= (~ (h2(op1(e10, e13)) = op2(h2(e10), h2(e13)))), 61.66/62.13 inference('split', [status(esa)], ['1958'])). 61.66/62.13 tff('1985', plain, 61.66/62.13 (h2(e10) != op2(h2(e10), h2(e13))) 61.66/62.13 <= (~ (h2(op1(e10, e13)) = op2(h2(e10), h2(e13))) & 61.66/62.13 (op1(e10, e13) = e10)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1983', '1984'])). 61.66/62.13 tff('1986', plain, h1(e11) = h2(e10), 61.66/62.13 inference('s_sup+', [status(thm)], ['520', '521'])). 61.66/62.13 tff('1987', plain, h1(e11) = h2(e10), 61.66/62.13 inference('s_sup+', [status(thm)], ['520', '521'])). 61.66/62.13 tff('1988', plain, 61.66/62.13 (h1(e11) != op2(h1(e11), h2(e13))) 61.66/62.13 <= (~ (h2(op1(e10, e13)) = op2(h2(e10), h2(e13))) & 61.66/62.13 (op1(e10, e13) = e10)), 61.66/62.13 inference('demod', [status(thm)], ['1985', '1986', '1987'])). 61.66/62.13 tff('1989', plain, 61.66/62.13 (e22 != op2(e22, h2(e13))) 61.66/62.13 <= (~ (h2(op1(e10, e13)) = op2(h2(e10), h2(e13))) & 61.66/62.13 (op1(e10, e13) = e10) & 61.66/62.13 (h1(e11) = e22)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1982', '1988'])). 61.66/62.13 tff('1990', plain, 61.66/62.13 (e22 != op2(e22, e23)) 61.66/62.13 <= (~ (h2(op1(e10, e13)) = op2(h2(e10), h2(e13))) & 61.66/62.13 (op1(e10, e13) = e10) & 61.66/62.13 (op2(e21, e20) = e23) & 61.66/62.13 (h1(e11) = e22)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1981', '1989'])). 61.66/62.13 tff('1991', plain, 61.66/62.13 (e22 != e22) 61.66/62.13 <= (~ (h2(op1(e10, e13)) = op2(h2(e10), h2(e13))) & 61.66/62.13 (op1(e10, e13) = e10) & 61.66/62.13 (op2(e21, e20) = e23) & 61.66/62.13 (h1(e11) = e22) & 61.66/62.13 (op2(e22, e23) = e22)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1980', '1990'])). 61.66/62.13 tff('1992', plain, 61.66/62.13 ~ (op1(e10, e13) = e10) | (h2(op1(e10, e13)) = op2(h2(e10), h2(e13))) | 61.66/62.13 ~ (op2(e22, e23) = e22) | ~ (op2(e21, e20) = e23) | ~ (h1(e11) = e22), 61.66/62.13 inference('simplify', [status(thm)], ['1991'])). 61.66/62.13 tff('1993', plain, (e22 = h1(e11)) <= ((h1(e11) = e22)), 61.66/62.13 inference('split', [status(esa)], ['50'])). 61.66/62.13 tff('1994', plain, (op2(e23, e21) = e22) <= ((op2(e23, e21) = e22)), 61.66/62.13 inference('split', [status(esa)], ['272'])). 61.66/62.13 tff('1995', plain, (e23 = h2(e13)) <= ((op2(e21, e20) = e23)), 61.66/62.13 inference('s_sup+', [status(thm)], ['146', '156'])). 61.66/62.13 tff('1996', plain, (op1(e13, e12) = e10) <= ((op1(e13, e12) = e10)), 61.66/62.13 inference('split', [status(esa)], ['320'])). 61.66/62.13 tff('1997', plain, 61.66/62.13 (op2(h2(e13), e21) != h2(op1(e13, e12))) 61.66/62.13 <= (~ (op2(h2(e13), e21) = h2(op1(e13, e12)))), 61.66/62.13 inference('split', [status(esa)], ['1958'])). 61.66/62.13 tff('1998', plain, 61.66/62.13 (op2(h2(e13), e21) != h2(e10)) 61.66/62.13 <= (~ (op2(h2(e13), e21) = h2(op1(e13, e12))) & (op1(e13, e12) = e10)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1996', '1997'])). 61.66/62.13 tff('1999', plain, h1(e11) = h2(e10), 61.66/62.13 inference('s_sup+', [status(thm)], ['520', '521'])). 61.66/62.13 tff('2000', plain, 61.66/62.13 (op2(h2(e13), e21) != h1(e11)) 61.66/62.13 <= (~ (op2(h2(e13), e21) = h2(op1(e13, e12))) & (op1(e13, e12) = e10)), 61.66/62.13 inference('demod', [status(thm)], ['1998', '1999'])). 61.66/62.13 tff('2001', plain, 61.66/62.13 (op2(e23, e21) != h1(e11)) 61.66/62.13 <= (~ (op2(h2(e13), e21) = h2(op1(e13, e12))) & 61.66/62.13 (op2(e21, e20) = e23) & 61.66/62.13 (op1(e13, e12) = e10)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1995', '2000'])). 61.66/62.13 tff('2002', plain, 61.66/62.13 (e22 != h1(e11)) 61.66/62.13 <= (~ (op2(h2(e13), e21) = h2(op1(e13, e12))) & 61.66/62.13 (op2(e21, e20) = e23) & 61.66/62.13 (op2(e23, e21) = e22) & 61.66/62.13 (op1(e13, e12) = e10)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1994', '2001'])). 61.66/62.13 tff('2003', plain, 61.66/62.13 (e22 != e22) 61.66/62.13 <= (~ (op2(h2(e13), e21) = h2(op1(e13, e12))) & 61.66/62.13 (op2(e21, e20) = e23) & 61.66/62.13 (h1(e11) = e22) & 61.66/62.13 (op2(e23, e21) = e22) & 61.66/62.13 (op1(e13, e12) = e10)), 61.66/62.13 inference('s_sup-', [status(thm)], ['1993', '2002'])). 61.66/62.13 tff('2004', plain, 61.66/62.13 ~ (op1(e13, e12) = e10) | (op2(h2(e13), e21) = h2(op1(e13, e12))) | 61.66/62.13 ~ (op2(e21, e20) = e23) | ~ (h1(e11) = e22) | ~ (op2(e23, e21) = e22), 61.66/62.13 inference('simplify', [status(thm)], ['2003'])). 61.66/62.13 tff('2005', plain, (e23 = op2(e20, e23)) <= ((e23 = op2(e20, e23))), 61.66/62.13 inference('split', [status(esa)], ['104'])). 61.66/62.13 tff('2006', plain, (e23 = h2(e13)) <= ((op2(e21, e20) = e23)), 61.66/62.13 inference('s_sup+', [status(thm)], ['146', '156'])). 61.66/62.13 tff('2007', plain, (op1(e11, e13) = e13) <= ((op1(e11, e13) = e13)), 61.66/62.13 inference('split', [status(esa)], ['363'])). 61.66/62.13 tff('2008', plain, 61.66/62.13 (h2(op1(e10, e13)) != op2(h2(e10), h2(e13)) 61.66/62.13 | op2(h2(e11), h2(e10)) != h2(op1(e11, e10)) 61.66/62.13 | h2(op1(e11, e11)) != op2(h2(e11), h2(e11)) 61.66/62.13 | op2(h2(e11), h2(e13)) != h2(op1(e11, e13)) 61.66/62.13 | op2(h2(e12), h2(e10)) != h2(op1(e12, e10)) 61.66/62.13 | op2(h2(e12), h2(e12)) != h2(op1(e12, e12)) 61.66/62.13 | h2(op1(e13, e10)) != op2(h2(e13), h2(e10)) 61.66/62.13 | h2(op1(e13, e11)) != op2(h2(e13), h2(e11)) 61.66/62.13 | h2(op1(e13, e13)) != op2(h2(e13), h2(e13)) 61.66/62.13 | e22 != h2(e10) 61.66/62.13 | h2(e13) != e23 61.66/62.13 | e21 != h2(e13) 61.66/62.13 | e20 != h2(e13) 61.66/62.13 | op2(h2(e13), h2(e12)) != h2(op1(e13, e12)) 61.66/62.13 | h2(op1(e12, e13)) != op2(h2(e12), h2(e13)) 61.66/62.13 | op2(h2(e12), h2(e11)) != h2(op1(e12, e11)) 61.66/62.13 | op2(h2(e11), h2(e12)) != h2(op1(e11, e12)) 61.66/62.13 | op2(h2(e10), h2(e12)) != h2(op1(e10, e12)) 61.66/62.13 | op2(h2(e10), h2(e11)) != h2(op1(e10, e11)) 61.66/62.13 | op2(h2(e10), h2(e10)) != h2(op1(e10, e10))), 61.66/62.13 inference('cnf', [status(esa)], [zf_stmt_5])). 61.66/62.13 tff('2009', plain, e10 = op1(e11, e11), 61.66/62.13 inference('demod', [status(thm)], ['4', '5', '6'])). 61.66/62.13 tff('2010', plain, op2(h2(e11), h2(e11)) = h2(e10), 61.66/62.13 inference('demod', [status(thm)], ['509', '510', '511'])). 61.66/62.13 tff('2011', plain, e21 = h2(e12), inference('cnf', [status(esa)], [ax15])). 61.66/62.13 tff('2012', plain, e21 = h2(e12), inference('cnf', [status(esa)], [ax15])). 61.66/62.13 tff('2013', plain, e21 = h2(e12), inference('cnf', [status(esa)], [ax15])). 61.66/62.13 tff('2014', plain, op2(e21, e21) = h2(e11), 61.66/62.13 inference('cnf', [status(esa)], [ax15])). 61.66/62.13 tff('2015', plain, e11 = op1(e12, e12), 61.66/62.13 inference('cnf', [status(esa)], [ax12])). 61.66/62.13 tff('2016', plain, e21 = h2(e12), inference('cnf', [status(esa)], [ax15])). 61.66/62.13 tff('2017', plain, e21 = h2(e12), inference('cnf', [status(esa)], [ax15])). 61.66/62.13 tff('2018', plain, e21 = h2(e12), inference('cnf', [status(esa)], [ax15])). 61.66/62.13 tff('2019', plain, op2(e21, h2(e11)) = h2(e13), 61.66/62.13 inference('demod', [status(thm)], ['147', '148'])). 61.66/62.13 tff('2020', plain, op1(e12, e11) = e13, 61.66/62.13 inference('demod', [status(thm)], ['10', '11'])). 61.66/62.13 tff('2021', plain, e21 = h2(e12), inference('cnf', [status(esa)], [ax15])). 61.66/62.13 tff('2022', plain, e21 = h2(e12), inference('cnf', [status(esa)], [ax15])). 61.66/62.13 tff('2023', plain, 61.66/62.13 (h2(op1(e10, e13)) != op2(h2(e10), h2(e13)) 61.66/62.13 | op2(h2(e11), h2(e10)) != h2(op1(e11, e10)) 61.66/62.13 | h2(e10) != h2(e10) 61.66/62.13 | op2(h2(e11), h2(e13)) != h2(op1(e11, e13)) 61.66/62.13 | op2(e21, h2(e10)) != h2(op1(e12, e10)) 61.66/62.13 | h2(e11) != h2(e11) 61.66/62.13 | h2(op1(e13, e10)) != op2(h2(e13), h2(e10)) 61.66/62.13 | h2(op1(e13, e11)) != op2(h2(e13), h2(e11)) 61.66/62.13 | h2(op1(e13, e13)) != op2(h2(e13), h2(e13)) 61.66/62.13 | e22 != h2(e10) 61.66/62.13 | h2(e13) != e23 61.66/62.13 | e21 != h2(e13) 61.66/62.13 | e20 != h2(e13) 61.66/62.13 | op2(h2(e13), e21) != h2(op1(e13, e12)) 61.66/62.13 | h2(op1(e12, e13)) != op2(e21, h2(e13)) 61.66/62.13 | h2(e13) != h2(e13) 61.66/62.13 | op2(h2(e11), e21) != h2(op1(e11, e12)) 61.66/62.13 | op2(h2(e10), e21) != h2(op1(e10, e12)) 61.66/62.13 | op2(h2(e10), h2(e11)) != h2(op1(e10, e11)) 61.66/62.13 | op2(h2(e10), h2(e10)) != h2(op1(e10, e10))), 61.66/62.13 inference('demod', [status(thm)], 61.66/62.13 ['2008', '2009', '2010', '2011', '2012', '2013', '2014', 61.66/62.13 '2015', '2016', '2017', '2018', '2019', '2020', '2021', '2022'])). 61.66/62.13 tff('2024', plain, 61.66/62.13 (op2(h2(e10), h2(e10)) != h2(op1(e10, e10)) 61.66/62.13 | op2(h2(e10), h2(e11)) != h2(op1(e10, e11)) 61.66/62.13 | op2(h2(e10), e21) != h2(op1(e10, e12)) 61.66/62.13 | op2(h2(e11), e21) != h2(op1(e11, e12)) 61.66/62.13 | h2(op1(e12, e13)) != op2(e21, h2(e13)) 61.66/62.13 | op2(h2(e13), e21) != h2(op1(e13, e12)) 61.66/62.13 | e20 != h2(e13) 61.66/62.13 | e21 != h2(e13) 61.66/62.13 | h2(e13) != e23 61.66/62.13 | e22 != h2(e10) 61.66/62.13 | h2(op1(e13, e13)) != op2(h2(e13), h2(e13)) 61.66/62.13 | h2(op1(e13, e11)) != op2(h2(e13), h2(e11)) 61.66/62.13 | h2(op1(e13, e10)) != op2(h2(e13), h2(e10)) 61.66/62.13 | op2(e21, h2(e10)) != h2(op1(e12, e10)) 61.66/62.13 | op2(h2(e11), h2(e13)) != h2(op1(e11, e13)) 61.66/62.13 | op2(h2(e11), h2(e10)) != h2(op1(e11, e10)) 61.66/62.13 | h2(op1(e10, e13)) != op2(h2(e10), h2(e13))), 61.66/62.13 inference('simplify', [status(thm)], ['2023'])). 61.66/62.13 tff('2025', plain, 61.66/62.13 (op2(h2(e11), h2(e13)) != h2(op1(e11, e13))) 61.66/62.13 <= (~ (op2(h2(e11), h2(e13)) = h2(op1(e11, e13)))), 61.66/62.13 inference('split', [status(esa)], ['2024'])). 61.66/62.13 tff('2026', plain, e20 = h2(e11), 61.66/62.13 inference('s_sup+', [status(thm)], ['153', '154'])). 61.66/62.13 tff('2027', plain, 61.66/62.13 (op2(e20, h2(e13)) != h2(op1(e11, e13))) 61.66/62.13 <= (~ (op2(h2(e11), h2(e13)) = h2(op1(e11, e13)))), 61.66/62.13 inference('demod', [status(thm)], ['2025', '2026'])). 61.66/62.13 tff('2028', plain, 61.66/62.13 (op2(e20, h2(e13)) != h2(e13)) 61.66/62.13 <= (~ (op2(h2(e11), h2(e13)) = h2(op1(e11, e13))) & 61.66/62.13 (op1(e11, e13) = e13)), 61.66/62.13 inference('s_sup-', [status(thm)], ['2007', '2027'])). 61.66/62.13 tff('2029', plain, 61.66/62.13 (op2(e20, e23) != e23) 61.66/62.13 <= (~ (op2(h2(e11), h2(e13)) = h2(op1(e11, e13))) & 61.66/62.13 (op2(e21, e20) = e23) & 61.66/62.13 (op1(e11, e13) = e13)), 61.66/62.13 inference('s_sup-', [status(thm)], ['2006', '2028'])). 61.66/62.13 tff('2030', plain, 61.66/62.13 (e23 != e23) 61.66/62.13 <= (~ (op2(h2(e11), h2(e13)) = h2(op1(e11, e13))) & 61.66/62.13 (op2(e21, e20) = e23) & 61.66/62.13 (e23 = op2(e20, e23)) & 61.66/62.13 (op1(e11, e13) = e13)), 61.66/62.13 inference('s_sup-', [status(thm)], ['2005', '2029'])). 61.66/62.13 tff('2031', plain, 61.66/62.13 (op2(h2(e11), h2(e13)) = h2(op1(e11, e13))) | ~ (op2(e21, e20) = e23) | 61.66/62.13 ~ (op1(e11, e13) = e13) | ~ (e23 = op2(e20, e23)), 61.66/62.13 inference('simplify', [status(thm)], ['2030'])). 61.66/62.13 tff('2032', plain, (e20 = h4(e11)) <= ((e20 = op2(e23, e23))), 61.66/62.13 inference('s_sup+', [status(thm)], ['64', '65'])). 61.66/62.13 tff('2033', plain, (e23 = h2(e13)) <= ((op2(e21, e20) = e23)), 61.66/62.13 inference('s_sup+', [status(thm)], ['146', '156'])). 61.66/62.13 tff('2034', plain, (op1(e13, e13) = e11) <= ((op1(e13, e13) = e11)), 61.66/62.13 inference('split', [status(esa)], ['40'])). 61.66/62.13 tff('2035', plain, 61.66/62.13 (h2(op1(e13, e13)) != op2(h2(e13), h2(e13))) 61.66/62.13 <= (~ (h2(op1(e13, e13)) = op2(h2(e13), h2(e13)))), 61.66/62.13 inference('split', [status(esa)], ['1958'])). 61.66/62.13 tff('2036', plain, 61.66/62.13 (h2(e11) != op2(h2(e13), h2(e13))) 61.66/62.13 <= (~ (h2(op1(e13, e13)) = op2(h2(e13), h2(e13))) & 61.66/62.13 (op1(e13, e13) = e11)), 61.66/62.13 inference('s_sup-', [status(thm)], ['2034', '2035'])). 61.66/62.13 tff('2037', plain, e20 = h2(e11), 61.66/62.13 inference('s_sup+', [status(thm)], ['153', '154'])). 61.66/62.13 tff('2038', plain, 61.66/62.13 (e20 != op2(h2(e13), h2(e13))) 61.66/62.13 <= (~ (h2(op1(e13, e13)) = op2(h2(e13), h2(e13))) & 61.66/62.13 (op1(e13, e13) = e11)), 61.66/62.13 inference('demod', [status(thm)], ['2036', '2037'])). 61.66/62.13 tff('2039', plain, 61.66/62.13 (e20 != op2(e23, e23)) 61.66/62.13 <= (~ (h2(op1(e13, e13)) = op2(h2(e13), h2(e13))) & 61.66/62.13 (op2(e21, e20) = e23) & 61.66/62.13 (op1(e13, e13) = e11)), 61.66/62.13 inference('s_sup-', [status(thm)], ['2033', '2038'])). 61.66/62.13 tff('2040', plain, op2(e23, e23) = h4(e11), 61.66/62.13 inference('cnf', [status(esa)], [ax17])). 61.66/62.13 tff('2041', plain, 61.66/62.13 (e20 != h4(e11)) 61.66/62.13 <= (~ (h2(op1(e13, e13)) = op2(h2(e13), h2(e13))) & 61.66/62.13 (op2(e21, e20) = e23) & 61.66/62.13 (op1(e13, e13) = e11)), 61.66/62.13 inference('demod', [status(thm)], ['2039', '2040'])). 61.66/62.13 tff('2042', plain, 61.66/62.13 (e20 != e20) 61.66/62.13 <= (~ (h2(op1(e13, e13)) = op2(h2(e13), h2(e13))) & 61.66/62.13 (op2(e21, e20) = e23) & 61.66/62.13 (e20 = op2(e23, e23)) & 61.66/62.13 (op1(e13, e13) = e11)), 61.66/62.13 inference('s_sup-', [status(thm)], ['2032', '2041'])). 61.66/62.13 tff('2043', plain, 61.66/62.13 (h2(op1(e13, e13)) = op2(h2(e13), h2(e13))) | ~ (op2(e21, e20) = e23) | 61.66/62.13 ~ (op1(e13, e13) = e11) | ~ (e20 = op2(e23, e23)), 61.66/62.13 inference('simplify', [status(thm)], ['2042'])). 61.66/62.13 tff('2044', plain, (op2(e21, e23) = e21) <= ((op2(e21, e23) = e21)), 61.66/62.13 inference('split', [status(esa)], ['313'])). 61.66/62.13 tff('2045', plain, (e23 = h2(e13)) <= ((op2(e21, e20) = e23)), 61.66/62.13 inference('s_sup+', [status(thm)], ['146', '156'])). 61.66/62.13 tff('2046', plain, (op1(e12, e13) = e12) <= ((op1(e12, e13) = e12)), 61.66/62.13 inference('split', [status(esa)], ['27'])). 61.66/62.13 tff('2047', plain, 61.66/62.13 (h2(op1(e12, e13)) != op2(e21, h2(e13))) 61.66/62.13 <= (~ (h2(op1(e12, e13)) = op2(e21, h2(e13)))), 61.66/62.13 inference('split', [status(esa)], ['1958'])). 61.66/62.13 tff('2048', plain, 61.66/62.13 (h2(e12) != op2(e21, h2(e13))) 61.66/62.13 <= (~ (h2(op1(e12, e13)) = op2(e21, h2(e13))) & (op1(e12, e13) = e12)), 61.66/62.13 inference('s_sup-', [status(thm)], ['2046', '2047'])). 61.66/62.13 tff('2049', plain, e21 = h2(e12), inference('cnf', [status(esa)], [ax15])). 61.66/62.13 tff('2050', plain, 61.66/62.13 (e21 != op2(e21, h2(e13))) 61.66/62.13 <= (~ (h2(op1(e12, e13)) = op2(e21, h2(e13))) & (op1(e12, e13) = e12)), 61.66/62.13 inference('demod', [status(thm)], ['2048', '2049'])). 61.66/62.13 tff('2051', plain, 61.66/62.13 (e21 != op2(e21, e23)) 61.66/62.13 <= (~ (h2(op1(e12, e13)) = op2(e21, h2(e13))) & 61.66/62.13 (op1(e12, e13) = e12) & 61.66/62.13 (op2(e21, e20) = e23)), 61.66/62.13 inference('s_sup-', [status(thm)], ['2045', '2050'])). 61.66/62.13 tff('2052', plain, 61.66/62.13 (e21 != e21) 61.66/62.13 <= (~ (h2(op1(e12, e13)) = op2(e21, h2(e13))) & 61.66/62.13 (op1(e12, e13) = e12) & 61.66/62.13 (op2(e21, e20) = e23) & 61.66/62.13 (op2(e21, e23) = e21)), 61.66/62.13 inference('s_sup-', [status(thm)], ['2044', '2051'])). 61.66/62.13 tff('2053', plain, 61.66/62.13 (h2(op1(e12, e13)) = op2(e21, h2(e13))) | ~ (op1(e12, e13) = e12) | 61.66/62.13 ~ (op2(e21, e20) = e23) | ~ (op2(e21, e23) = e21), 61.66/62.13 inference('simplify', [status(thm)], ['2052'])). 61.66/62.13 tff('2054', plain, (e23 = h2(e13)) <= ((op2(e21, e20) = e23)), 61.66/62.13 inference('s_sup+', [status(thm)], ['146', '156'])). 61.66/62.13 tff('2055', plain, (e22 = h1(e11)) <= ((h1(e11) = e22)), 61.66/62.13 inference('split', [status(esa)], ['50'])). 61.66/62.13 tff('2056', plain, (op1(e10, e12) = e13) <= ((op1(e10, e12) = e13)), 61.66/62.13 inference('split', [status(esa)], ['1564'])). 61.66/62.13 tff('2057', plain, 61.66/62.13 (op2(h2(e10), e21) != h2(op1(e10, e12))) 61.66/62.13 <= (~ (op2(h2(e10), e21) = h2(op1(e10, e12)))), 61.66/62.13 inference('split', [status(esa)], ['1958'])). 61.66/62.13 tff('2058', plain, 61.66/62.13 (op2(h2(e10), e21) != h2(e13)) 61.66/62.13 <= (~ (op2(h2(e10), e21) = h2(op1(e10, e12))) & (op1(e10, e12) = e13)), 61.66/62.13 inference('s_sup-', [status(thm)], ['2056', '2057'])). 61.66/62.13 tff('2059', plain, h1(e11) = h2(e10), 61.66/62.13 inference('s_sup+', [status(thm)], ['520', '521'])). 61.66/62.13 tff('2060', plain, 61.66/62.13 (op2(h1(e11), e21) != h2(e13)) 61.66/62.13 <= (~ (op2(h2(e10), e21) = h2(op1(e10, e12))) & (op1(e10, e12) = e13)), 61.66/62.13 inference('demod', [status(thm)], ['2058', '2059'])). 61.66/62.13 tff('2061', plain, 61.66/62.13 (op2(e22, e21) != h2(e13)) 61.66/62.13 <= (~ (op2(h2(e10), e21) = h2(op1(e10, e12))) & 61.66/62.13 (h1(e11) = e22) & 61.66/62.13 (op1(e10, e12) = e13)), 61.66/62.13 inference('s_sup-', [status(thm)], ['2055', '2060'])). 61.66/62.13 tff('2062', plain, op2(e22, e21) = e23, 61.66/62.13 inference('demod', [status(thm)], ['264', '267'])). 61.66/62.13 tff('2063', plain, 61.66/62.13 (e23 != h2(e13)) 61.66/62.13 <= (~ (op2(h2(e10), e21) = h2(op1(e10, e12))) & 61.66/62.13 (h1(e11) = e22) & 61.66/62.13 (op1(e10, e12) = e13)), 61.66/62.13 inference('demod', [status(thm)], ['2061', '2062'])). 61.66/62.13 tff('2064', plain, 61.66/62.13 (e23 != e23) 61.66/62.13 <= (~ (op2(h2(e10), e21) = h2(op1(e10, e12))) & 61.66/62.13 (op2(e21, e20) = e23) & 61.66/62.13 (h1(e11) = e22) & 61.66/62.13 (op1(e10, e12) = e13)), 61.66/62.13 inference('s_sup-', [status(thm)], ['2054', '2063'])). 61.66/62.13 tff('2065', plain, 61.66/62.13 ~ (op1(e10, e12) = e13) | (op2(h2(e10), e21) = h2(op1(e10, e12))) | 61.66/62.13 ~ (op2(e21, e20) = e23) | ~ (h1(e11) = e22), 61.66/62.13 inference('simplify', [status(thm)], ['2064'])). 61.66/62.13 tff('2066', plain, (e23 = h2(e13)) <= ((op2(e21, e20) = e23)), 61.66/62.13 inference('s_sup+', [status(thm)], ['146', '156'])). 61.66/62.13 tff('2067', plain, (h2(e13) != e23) <= (~ (h2(e13) = e23)), 61.66/62.13 inference('split', [status(esa)], ['1958'])). 61.66/62.13 tff('2068', plain, 61.66/62.13 (e23 != e23) <= (~ (h2(e13) = e23) & (op2(e21, e20) = e23)), 61.66/62.13 inference('s_sup-', [status(thm)], ['2066', '2067'])). 61.66/62.13 tff('2069', plain, (h2(e13) = e23) | ~ (op2(e21, e20) = e23), 61.66/62.13 inference('simplify', [status(thm)], ['2068'])). 61.66/62.13 tff('2070', plain, 61.66/62.13 (op2(e23, e23) = e21 61.66/62.13 | op2(e23, e22) = e21 61.66/62.13 | e21 = op2(e23, e21) 61.66/62.13 | op2(e23, e20) = e21), 61.66/62.13 inference('cnf', [status(esa)], [ax4])). 61.66/62.13 tff('2071', plain, 61.66/62.13 (op2(e23, e23) = e21) | (op2(e23, e20) = e21) | (e21 = op2(e23, e21)) | 61.66/62.13 (op2(e23, e22) = e21), inference('split', [status(esa)], ['2070'])). 61.66/62.13 tff('2072', plain, (op2(e23, e22) = e21) <= ((op2(e23, e22) = e21)), 61.66/62.13 inference('split', [status(esa)], ['2070'])). 61.66/62.13 tff('2073', plain, op2(e23, e22) != e21, 61.66/62.13 inference('demod', [status(thm)], ['162', '163'])). 61.66/62.13 tff('2074', plain, ~ (op2(e23, e22) = e21), 61.66/62.13 inference('simplify_reflect-', [status(thm)], ['2072', '2073'])). 61.66/62.13 tff('2075', plain, (op2(e20, e21) = e21) <= ((op2(e20, e21) = e21)), 61.66/62.13 inference('split', [status(esa)], ['356'])). 61.66/62.13 tff('2076', plain, (op1(e11, e12) = e12) <= ((op1(e11, e12) = e12)), 61.66/62.13 inference('split', [status(esa)], ['112'])). 61.66/62.13 tff('2077', plain, 61.66/62.13 (op2(h2(e11), e21) != h2(op1(e11, e12))) 61.66/62.13 <= (~ (op2(h2(e11), e21) = h2(op1(e11, e12)))), 61.66/62.13 inference('split', [status(esa)], ['1958'])). 61.66/62.13 tff('2078', plain, e20 = h2(e11), 61.66/62.13 inference('s_sup+', [status(thm)], ['153', '154'])). 61.66/62.13 tff('2079', plain, 61.66/62.13 (op2(e20, e21) != h2(op1(e11, e12))) 61.66/62.13 <= (~ (op2(h2(e11), e21) = h2(op1(e11, e12)))), 61.66/62.13 inference('demod', [status(thm)], ['2077', '2078'])). 61.66/62.13 tff('2080', plain, 61.66/62.13 (op2(e20, e21) != h2(e12)) 61.66/62.13 <= (~ (op2(h2(e11), e21) = h2(op1(e11, e12))) & (op1(e11, e12) = e12)), 61.66/62.13 inference('s_sup-', [status(thm)], ['2076', '2079'])). 61.66/62.13 tff('2081', plain, e21 = h2(e12), inference('cnf', [status(esa)], [ax15])). 61.66/62.13 tff('2082', plain, 61.66/62.13 (op2(e20, e21) != e21) 61.66/62.13 <= (~ (op2(h2(e11), e21) = h2(op1(e11, e12))) & (op1(e11, e12) = e12)), 61.66/62.13 inference('demod', [status(thm)], ['2080', '2081'])). 61.66/62.13 tff('2083', plain, 61.66/62.13 (e21 != e21) 61.66/62.13 <= (~ (op2(h2(e11), e21) = h2(op1(e11, e12))) & 61.66/62.13 (op2(e20, e21) = e21) & 61.66/62.13 (op1(e11, e12) = e12)), 61.66/62.13 inference('s_sup-', [status(thm)], ['2075', '2082'])). 61.66/62.13 tff('2084', plain, 61.66/62.13 (op2(h2(e11), e21) = h2(op1(e11, e12))) | ~ (op1(e11, e12) = e12) | 61.66/62.13 ~ (op2(e20, e21) = e21), inference('simplify', [status(thm)], ['2083'])). 61.66/62.13 tff('2085', plain, 61.66/62.13 (op2(e21, e21) = e21 61.66/62.13 | e21 = op2(e23, e21) 61.66/62.13 | e21 = op2(e22, e21) 61.66/62.13 | op2(e20, e21) = e21), 61.66/62.13 inference('cnf', [status(esa)], [ax4])). 61.66/62.13 tff('2086', plain, op2(e21, e21) = h2(e11), 61.66/62.13 inference('cnf', [status(esa)], [ax15])). 61.66/62.13 tff('2087', plain, 61.66/62.13 (h2(e11) = e21 61.66/62.13 | e21 = op2(e23, e21) 61.66/62.13 | e21 = op2(e22, e21) 61.66/62.13 | op2(e20, e21) = e21), 61.66/62.13 inference('demod', [status(thm)], ['2085', '2086'])). 61.66/62.13 tff('2088', plain, op2(e22, e22) != op2(e22, e21), 61.66/62.13 inference('cnf', [status(esa)], [ax6])). 61.66/62.13 tff('2089', plain, e21 = op2(e22, e22), 61.66/62.13 inference('cnf', [status(esa)], [ax13])). 61.66/62.13 tff('2090', plain, e21 != op2(e22, e21), 61.66/62.13 inference('demod', [status(thm)], ['2088', '2089'])). 61.66/62.13 tff('2091', plain, 61.66/62.13 (h2(e11) = e21 | e21 = op2(e23, e21) | op2(e20, e21) = e21), 61.66/62.13 inference('simplify_reflect-', [status(thm)], ['2087', '2090'])). 61.66/62.13 tff('2092', plain, (e21 = op2(e23, e21)) <= ((e21 = op2(e23, e21))), 61.66/62.13 inference('split', [status(esa)], ['2091'])). 61.66/62.13 tff('2093', plain, (op2(e23, e21) = e22) <= ((op2(e23, e21) = e22)), 61.66/62.13 inference('split', [status(esa)], ['272'])). 61.66/62.13 tff('2094', plain, 61.66/62.13 (e21 = e22) <= ((e21 = op2(e23, e21)) & (op2(e23, e21) = e22)), 61.66/62.13 inference('s_sup+', [status(thm)], ['2092', '2093'])). 61.66/62.13 tff('2095', plain, e21 != e22, inference('cnf', [status(esa)], [ax8])). 61.66/62.13 tff('2096', plain, ~ (e21 = op2(e23, e21)) | ~ (op2(e23, e21) = e22), 61.66/62.13 inference('simplify_reflect-', [status(thm)], ['2094', '2095'])). 61.66/62.13 tff('2097', plain, (op2(e21, e22) = e22) <= ((op2(e21, e22) = e22)), 61.66/62.13 inference('split', [status(esa)], ['241'])). 61.66/62.13 tff('2098', plain, (e22 = h1(e11)) <= ((h1(e11) = e22)), 61.66/62.13 inference('split', [status(esa)], ['50'])). 61.66/62.13 tff('2099', plain, (e10 = op1(e12, e10)) <= ((e10 = op1(e12, e10))), 61.66/62.13 inference('split', [status(esa)], ['889'])). 61.66/62.13 tff('2100', plain, 61.66/62.13 (op2(e21, h2(e10)) != h2(op1(e12, e10))) 61.66/62.13 <= (~ (op2(e21, h2(e10)) = h2(op1(e12, e10)))), 61.66/62.13 inference('split', [status(esa)], ['1958'])). 61.66/62.13 tff('2101', plain, 61.66/62.13 (op2(e21, h2(e10)) != h2(e10)) 61.66/62.13 <= (~ (op2(e21, h2(e10)) = h2(op1(e12, e10))) & (e10 = op1(e12, e10))), 61.66/62.13 inference('s_sup-', [status(thm)], ['2099', '2100'])). 61.66/62.13 tff('2102', plain, h1(e11) = h2(e10), 61.66/62.13 inference('s_sup+', [status(thm)], ['520', '521'])). 61.66/62.13 tff('2103', plain, h1(e11) = h2(e10), 61.66/62.13 inference('s_sup+', [status(thm)], ['520', '521'])). 61.66/62.13 tff('2104', plain, 61.66/62.13 (op2(e21, h1(e11)) != h1(e11)) 61.66/62.13 <= (~ (op2(e21, h2(e10)) = h2(op1(e12, e10))) & (e10 = op1(e12, e10))), 61.66/62.13 inference('demod', [status(thm)], ['2101', '2102', '2103'])). 61.66/62.13 tff('2105', plain, 61.66/62.13 (op2(e21, e22) != e22) 61.66/62.13 <= (~ (op2(e21, h2(e10)) = h2(op1(e12, e10))) & 61.66/62.13 (h1(e11) = e22) & 61.66/62.13 (e10 = op1(e12, e10))), 61.66/62.13 inference('s_sup-', [status(thm)], ['2098', '2104'])). 61.66/62.13 tff('2106', plain, 61.66/62.13 (e22 != e22) 61.66/62.13 <= (~ (op2(e21, h2(e10)) = h2(op1(e12, e10))) & 61.66/62.13 (op2(e21, e22) = e22) & 61.66/62.13 (h1(e11) = e22) & 61.66/62.13 (e10 = op1(e12, e10))), 61.66/62.13 inference('s_sup-', [status(thm)], ['2097', '2105'])). 61.66/62.13 tff('2107', plain, 61.66/62.13 (op2(e21, h2(e10)) = h2(op1(e12, e10))) | ~ (e10 = op1(e12, e10)) | 61.66/62.13 ~ (h1(e11) = e22) | ~ (op2(e21, e22) = e22), 61.66/62.13 inference('simplify', [status(thm)], ['2106'])). 61.66/62.13 tff('2108', plain, (e23 = op2(e20, e23)) <= ((e23 = op2(e20, e23))), 61.66/62.13 inference('split', [status(esa)], ['104'])). 61.66/62.13 tff('2109', plain, (op2(e21, e23) = e23) <= ((op2(e21, e23) = e23)), 61.66/62.13 inference('split', [status(esa)], ['684'])). 61.66/62.13 tff('2110', plain, op2(e21, e23) != op2(e20, e23), 61.66/62.13 inference('cnf', [status(esa)], [ax6])). 61.66/62.13 tff('2111', plain, (e23 != op2(e20, e23)) <= ((op2(e21, e23) = e23)), 61.66/62.13 inference('s_sup-', [status(thm)], ['2109', '2110'])). 61.66/62.13 tff('2112', plain, 61.66/62.13 (e23 != e23) <= ((op2(e21, e23) = e23) & (e23 = op2(e20, e23))), 61.66/62.13 inference('s_sup-', [status(thm)], ['2108', '2111'])). 61.66/62.13 tff('2113', plain, ~ (e23 = op2(e20, e23)) | ~ (op2(e21, e23) = e23), 61.66/62.13 inference('simplify', [status(thm)], ['2112'])). 61.66/62.13 tff('2114', plain, 61.66/62.13 (h1(e13) = e20) <= ((op2(e20, e22) = e20) & (h1(e11) = e22)), 61.66/62.13 inference('s_sup+', [status(thm)], ['55', '61'])). 61.66/62.13 tff('2115', plain, (op1(e11, e10) = e11) <= ((op1(e11, e10) = e11)), 61.66/62.13 inference('split', [status(esa)], ['67'])). 61.66/62.13 tff('2116', plain, 61.66/62.13 (op2(h2(e11), h2(e10)) != h2(op1(e11, e10))) 61.66/62.13 <= (~ (op2(h2(e11), h2(e10)) = h2(op1(e11, e10)))), 61.66/62.13 inference('split', [status(esa)], ['1958'])). 61.66/62.13 tff('2117', plain, e20 = h2(e11), 61.66/62.13 inference('s_sup+', [status(thm)], ['153', '154'])). 61.66/62.13 tff('2118', plain, 61.66/62.13 (op2(e20, h2(e10)) != h2(op1(e11, e10))) 61.66/62.13 <= (~ (op2(h2(e11), h2(e10)) = h2(op1(e11, e10)))), 61.66/62.13 inference('demod', [status(thm)], ['2116', '2117'])). 61.66/62.13 tff('2119', plain, 61.66/62.13 (op2(e20, h2(e10)) != h2(e11)) 61.66/62.13 <= (~ (op2(h2(e11), h2(e10)) = h2(op1(e11, e10))) & 61.66/62.13 (op1(e11, e10) = e11)), 61.66/62.13 inference('s_sup-', [status(thm)], ['2115', '2118'])). 61.66/62.13 tff('2120', plain, e20 = h2(e11), 61.66/62.13 inference('s_sup+', [status(thm)], ['153', '154'])). 61.66/62.13 tff('2121', plain, 61.66/62.13 (op2(e20, h2(e10)) != e20) 61.66/62.13 <= (~ (op2(h2(e11), h2(e10)) = h2(op1(e11, e10))) & 61.66/62.13 (op1(e11, e10) = e11)), 61.66/62.13 inference('demod', [status(thm)], ['2119', '2120'])). 61.66/62.13 tff('2122', plain, h1(e11) = h2(e10), 61.66/62.13 inference('s_sup+', [status(thm)], ['520', '521'])). 61.66/62.13 tff('2123', plain, h1(e13) = op2(e20, h1(e11)), 61.66/62.13 inference('demod', [status(thm)], ['52', '53'])). 61.66/62.13 tff('2124', plain, 61.66/62.13 (h1(e13) != e20) 61.66/62.13 <= (~ (op2(h2(e11), h2(e10)) = h2(op1(e11, e10))) & 61.66/62.13 (op1(e11, e10) = e11)), 61.66/62.13 inference('demod', [status(thm)], ['2121', '2122', '2123'])). 61.66/62.13 tff('2125', plain, 61.66/62.13 (e20 != e20) 61.66/62.13 <= (~ (op2(h2(e11), h2(e10)) = h2(op1(e11, e10))) & 61.66/62.13 (op1(e11, e10) = e11) & 61.66/62.13 (op2(e20, e22) = e20) & 61.66/62.13 (h1(e11) = e22)), 61.66/62.13 inference('s_sup-', [status(thm)], ['2114', '2124'])). 61.66/62.13 tff('2126', plain, 61.66/62.13 (op2(h2(e11), h2(e10)) = h2(op1(e11, e10))) | ~ (h1(e11) = e22) | 61.66/62.13 ~ (op1(e11, e10) = e11) | ~ (op2(e20, e22) = e20), 61.66/62.13 inference('simplify', [status(thm)], ['2125'])). 61.66/62.13 tff('2127', plain, (e20 = op2(e22, e20)) <= ((e20 = op2(e22, e20))), 61.66/62.13 inference('split', [status(esa)], ['294'])). 61.66/62.13 tff('2128', plain, (e22 = h1(e11)) <= ((h1(e11) = e22)), 61.66/62.13 inference('split', [status(esa)], ['50'])). 61.66/62.13 tff('2129', plain, (e11 = op1(e10, e11)) <= ((e11 = op1(e10, e11))), 61.66/62.13 inference('split', [status(esa)], ['297'])). 61.66/62.13 tff('2130', plain, 61.66/62.13 (op2(h2(e10), h2(e11)) != h2(op1(e10, e11))) 61.66/62.13 <= (~ (op2(h2(e10), h2(e11)) = h2(op1(e10, e11)))), 61.66/62.13 inference('split', [status(esa)], ['1958'])). 61.66/62.13 tff('2131', plain, e20 = h2(e11), 61.66/62.13 inference('s_sup+', [status(thm)], ['153', '154'])). 61.66/62.13 tff('2132', plain, 61.66/62.13 (op2(h2(e10), e20) != h2(op1(e10, e11))) 61.66/62.13 <= (~ (op2(h2(e10), h2(e11)) = h2(op1(e10, e11)))), 61.66/62.13 inference('demod', [status(thm)], ['2130', '2131'])). 61.66/62.13 tff('2133', plain, 61.66/62.13 (op2(h2(e10), e20) != h2(e11)) 61.66/62.13 <= (~ (op2(h2(e10), h2(e11)) = h2(op1(e10, e11))) & 61.66/62.13 (e11 = op1(e10, e11))), 61.66/62.13 inference('s_sup-', [status(thm)], ['2129', '2132'])). 61.66/62.13 tff('2134', plain, e20 = h2(e11), 61.66/62.13 inference('s_sup+', [status(thm)], ['153', '154'])). 61.66/62.13 tff('2135', plain, 61.66/62.13 (op2(h2(e10), e20) != e20) 61.66/62.13 <= (~ (op2(h2(e10), h2(e11)) = h2(op1(e10, e11))) & 61.66/62.13 (e11 = op1(e10, e11))), 61.66/62.13 inference('demod', [status(thm)], ['2133', '2134'])). 61.66/62.13 tff('2136', plain, h1(e11) = h2(e10), 61.66/62.13 inference('s_sup+', [status(thm)], ['520', '521'])). 61.66/62.13 tff('2137', plain, 61.66/62.13 (op2(h1(e11), e20) != e20) 61.66/62.13 <= (~ (op2(h2(e10), h2(e11)) = h2(op1(e10, e11))) & 61.66/62.13 (e11 = op1(e10, e11))), 61.66/62.13 inference('demod', [status(thm)], ['2135', '2136'])). 61.66/62.13 tff('2138', plain, 61.66/62.13 (op2(e22, e20) != e20) 61.66/62.13 <= (~ (op2(h2(e10), h2(e11)) = h2(op1(e10, e11))) & 61.66/62.13 (e11 = op1(e10, e11)) & 61.66/62.13 (h1(e11) = e22)), 61.66/62.13 inference('s_sup-', [status(thm)], ['2128', '2137'])). 61.66/62.13 tff('2139', plain, 61.66/62.13 (e20 != e20) 61.66/62.13 <= (~ (op2(h2(e10), h2(e11)) = h2(op1(e10, e11))) & 61.66/62.13 (e11 = op1(e10, e11)) & 61.66/62.13 (e20 = op2(e22, e20)) & 61.66/62.13 (h1(e11) = e22)), 61.66/62.13 inference('s_sup-', [status(thm)], ['2127', '2138'])). 61.66/62.13 tff('2140', plain, 61.66/62.13 (op2(h2(e10), h2(e11)) = h2(op1(e10, e11))) | ~ (h1(e11) = e22) | 61.66/62.13 ~ (e11 = op1(e10, e11)) | ~ (e20 = op2(e22, e20)), 61.66/62.13 inference('simplify', [status(thm)], ['2139'])). 61.66/62.13 tff('2141', plain, (e21 = h1(e10)) <= ((h1(e11) = e22)), 61.66/62.13 inference('s_sup+', [status(thm)], ['1343', '1344'])). 61.66/62.13 tff('2142', plain, (op1(e10, e10) = e12) <= ((e12 = op1(e10, e10))), 61.66/62.13 inference('split', [status(esa)], ['230'])). 61.66/62.13 tff('2143', plain, 61.66/62.13 (h2(op1(e10, e13)) != op2(h2(e10), h2(e13)) 61.66/62.13 | op2(h2(e11), h2(e10)) != h2(op1(e11, e10)) 61.66/62.13 | h2(op1(e11, e11)) != op2(h2(e11), h2(e11)) 61.66/62.13 | op2(h2(e11), h2(e13)) != h2(op1(e11, e13)) 61.66/62.13 | op2(h2(e12), h2(e10)) != h2(op1(e12, e10)) 61.66/62.13 | op2(h2(e12), h2(e12)) != h2(op1(e12, e12)) 61.66/62.13 | h2(op1(e13, e10)) != op2(h2(e13), h2(e10)) 61.66/62.13 | h2(op1(e13, e11)) != op2(h2(e13), h2(e11)) 61.66/62.13 | h2(op1(e13, e13)) != op2(h2(e13), h2(e13)) 61.66/62.13 | e22 != h2(e10) 61.66/62.13 | h2(e13) != e23 61.66/62.13 | e21 != h2(e13) 61.66/62.13 | h2(e10) != e20 61.66/62.13 | op2(h2(e13), h2(e12)) != h2(op1(e13, e12)) 61.66/62.13 | h2(op1(e12, e13)) != op2(h2(e12), h2(e13)) 61.66/62.13 | op2(h2(e12), h2(e11)) != h2(op1(e12, e11)) 61.66/62.13 | op2(h2(e11), h2(e12)) != h2(op1(e11, e12)) 61.66/62.13 | op2(h2(e10), h2(e12)) != h2(op1(e10, e12)) 61.66/62.13 | op2(h2(e10), h2(e11)) != h2(op1(e10, e11)) 61.66/62.13 | op2(h2(e10), h2(e10)) != h2(op1(e10, e10))), 61.66/62.13 inference('cnf', [status(esa)], [zf_stmt_5])). 61.66/62.13 tff('2144', plain, 61.66/62.13 (op2(h2(e10), h2(e10)) != h2(op1(e10, e10))) 61.66/62.13 <= (~ (op2(h2(e10), h2(e10)) = h2(op1(e10, e10)))), 61.66/62.13 inference('split', [status(esa)], ['2143'])). 61.66/62.13 tff('2145', plain, h1(e11) = h2(e10), 61.66/62.13 inference('s_sup+', [status(thm)], ['520', '521'])). 61.66/62.13 tff('2146', plain, h1(e11) = h2(e10), 61.66/62.13 inference('s_sup+', [status(thm)], ['520', '521'])). 61.66/62.13 tff('2147', plain, h1(e10) = op2(h1(e11), h1(e11)), 61.66/62.13 inference('demod', [status(thm)], ['929', '930', '931'])). 61.66/62.13 tff('2148', plain, 61.66/62.13 (h1(e10) != h2(op1(e10, e10))) 61.66/62.13 <= (~ (op2(h2(e10), h2(e10)) = h2(op1(e10, e10)))), 61.66/62.13 inference('demod', [status(thm)], ['2144', '2145', '2146', '2147'])). 61.66/62.13 tff('2149', plain, 61.66/62.13 (h1(e10) != h2(e12)) 61.66/62.13 <= (~ (op2(h2(e10), h2(e10)) = h2(op1(e10, e10))) & 61.66/62.13 (e12 = op1(e10, e10))), 61.66/62.13 inference('s_sup-', [status(thm)], ['2142', '2148'])). 61.66/62.13 tff('2150', plain, e21 = h2(e12), inference('cnf', [status(esa)], [ax15])). 61.66/62.13 tff('2151', plain, 61.66/62.13 (h1(e10) != e21) 61.66/62.13 <= (~ (op2(h2(e10), h2(e10)) = h2(op1(e10, e10))) & 61.66/62.13 (e12 = op1(e10, e10))), 61.66/62.13 inference('demod', [status(thm)], ['2149', '2150'])). 61.66/62.13 tff('2152', plain, 61.66/62.13 (e21 != e21) 61.66/62.13 <= (~ (op2(h2(e10), h2(e10)) = h2(op1(e10, e10))) & 61.66/62.13 (e12 = op1(e10, e10)) & 61.66/62.13 (h1(e11) = e22)), 61.66/62.13 inference('s_sup-', [status(thm)], ['2141', '2151'])). 61.66/62.13 tff('2153', plain, 61.66/62.13 (op2(h2(e10), h2(e10)) = h2(op1(e10, e10))) | ~ (e12 = op1(e10, e10)) | 61.66/62.13 ~ (h1(e11) = e22), inference('simplify', [status(thm)], ['2152'])). 61.66/62.13 tff('2154', plain, (e22 = h1(e11)) <= ((h1(e11) = e22)), 61.66/62.13 inference('split', [status(esa)], ['50'])). 61.66/62.13 tff('2155', plain, 61.66/62.13 (h2(op1(e10, e13)) != op2(h2(e10), h2(e13)) 61.66/62.13 | op2(h2(e11), h2(e10)) != h2(op1(e11, e10)) 61.66/62.13 | h2(op1(e11, e11)) != op2(h2(e11), h2(e11)) 61.66/62.13 | op2(h2(e11), h2(e13)) != h2(op1(e11, e13)) 61.66/62.13 | op2(h2(e12), h2(e10)) != h2(op1(e12, e10)) 61.66/62.13 | op2(h2(e12), h2(e12)) != h2(op1(e12, e12)) 61.66/62.13 | h2(op1(e13, e10)) != op2(h2(e13), h2(e10)) 61.66/62.13 | h2(op1(e13, e11)) != op2(h2(e13), h2(e11)) 61.66/62.13 | h2(op1(e13, e13)) != op2(h2(e13), h2(e13)) 61.66/62.13 | e22 != h2(e10) 61.66/62.13 | h2(e12) != e23 61.66/62.13 | e21 != h2(e13) 61.66/62.13 | e20 != h2(e13) 61.66/62.13 | op2(h2(e13), h2(e12)) != h2(op1(e13, e12)) 61.66/62.13 | h2(op1(e12, e13)) != op2(h2(e12), h2(e13)) 61.66/62.13 | op2(h2(e12), h2(e11)) != h2(op1(e12, e11)) 61.66/62.13 | op2(h2(e11), h2(e12)) != h2(op1(e11, e12)) 61.66/62.13 | op2(h2(e10), h2(e12)) != h2(op1(e10, e12)) 61.66/62.13 | op2(h2(e10), h2(e11)) != h2(op1(e10, e11)) 61.66/62.13 | op2(h2(e10), h2(e10)) != h2(op1(e10, e10))), 61.66/62.13 inference('cnf', [status(esa)], [zf_stmt_5])). 61.66/62.13 tff('2156', plain, (e22 != h2(e10)) <= (~ (e22 = h2(e10))), 61.66/62.13 inference('split', [status(esa)], ['2155'])). 61.66/62.13 tff('2157', plain, h1(e11) = h2(e10), 61.66/62.13 inference('s_sup+', [status(thm)], ['520', '521'])). 61.66/62.13 tff('2158', plain, (e22 != h1(e11)) <= (~ (e22 = h2(e10))), 61.66/62.13 inference('demod', [status(thm)], ['2156', '2157'])). 61.66/62.13 tff('2159', plain, (e22 != e22) <= (~ (e22 = h2(e10)) & (h1(e11) = e22)), 61.66/62.13 inference('s_sup-', [status(thm)], ['2154', '2158'])). 61.66/62.13 tff('2160', plain, (e22 = h2(e10)) | ~ (h1(e11) = e22), 61.66/62.13 inference('simplify', [status(thm)], ['2159'])). 61.66/62.13 tff('2161', plain, (e22 = h1(e11)) <= ((h1(e11) = e22)), 61.66/62.13 inference('split', [status(esa)], ['50'])). 61.66/62.13 tff('2162', plain, (op2(e20, e21) = e22) <= ((op2(e20, e21) = e22)), 61.66/62.13 inference('split', [status(esa)], ['1799'])). 61.66/62.13 tff('2163', plain, op2(e20, e20) != op2(e20, e21), 61.66/62.13 inference('cnf', [status(esa)], [ax6])). 61.66/62.13 tff('2164', plain, h1(e11) = op2(e20, e20), 61.66/62.13 inference('cnf', [status(esa)], [ax14])). 61.66/62.13 tff('2165', plain, h1(e11) != op2(e20, e21), 61.66/62.13 inference('demod', [status(thm)], ['2163', '2164'])). 61.66/62.13 tff('2166', plain, (h1(e11) != e22) <= ((op2(e20, e21) = e22)), 61.66/62.13 inference('s_sup-', [status(thm)], ['2162', '2165'])). 61.66/62.13 tff('2167', plain, (e22 != e22) <= ((h1(e11) = e22) & (op2(e20, e21) = e22)), 61.66/62.13 inference('s_sup-', [status(thm)], ['2161', '2166'])). 61.66/62.13 tff('2168', plain, ~ (h1(e11) = e22) | ~ (op2(e20, e21) = e22), 61.66/62.13 inference('simplify', [status(thm)], ['2167'])). 61.66/62.13 tff('2169', plain, (e22 = h1(e11)) <= ((h1(e11) = e22)), 61.66/62.13 inference('split', [status(esa)], ['50'])). 61.66/62.13 tff('2170', plain, (op2(e21, e20) = e22) <= ((op2(e21, e20) = e22)), 61.66/62.13 inference('split', [status(esa)], ['241'])). 61.66/62.13 tff('2171', plain, op2(e21, e20) = h2(e13), 61.66/62.13 inference('demod', [status(thm)], ['149', '155'])). 61.66/62.13 tff('2172', plain, (e22 = h2(e13)) <= ((op2(e21, e20) = e22)), 61.66/62.13 inference('s_sup+', [status(thm)], ['2170', '2171'])). 61.66/62.13 tff('2173', plain, op2(e21, e20) != op2(e20, e20), 61.66/62.13 inference('cnf', [status(esa)], [ax6])). 61.66/62.13 tff('2174', plain, h1(e11) = op2(e20, e20), 61.66/62.13 inference('cnf', [status(esa)], [ax14])). 61.66/62.13 tff('2175', plain, op2(e21, e20) != h1(e11), 61.66/62.13 inference('demod', [status(thm)], ['2173', '2174'])). 61.66/62.13 tff('2176', plain, op2(e21, e20) = h2(e13), 61.66/62.13 inference('demod', [status(thm)], ['149', '155'])). 61.66/62.13 tff('2177', plain, h2(e13) != h1(e11), 61.66/62.13 inference('demod', [status(thm)], ['2175', '2176'])). 61.66/62.13 tff('2178', plain, (e22 != h1(e11)) <= ((op2(e21, e20) = e22)), 61.66/62.13 inference('s_sup-', [status(thm)], ['2172', '2177'])). 61.66/62.13 tff('2179', plain, (e22 != e22) <= ((op2(e21, e20) = e22) & (h1(e11) = e22)), 61.66/62.13 inference('s_sup-', [status(thm)], ['2169', '2178'])). 61.66/62.13 tff('2180', plain, ~ (h1(e11) = e22) | ~ (op2(e21, e20) = e22), 61.66/62.13 inference('simplify', [status(thm)], ['2179'])). 61.66/62.13 tff('2181', plain, 61.66/62.13 (h2(op1(e10, e13)) != op2(h2(e10), h2(e13)) 61.66/62.13 | op2(h2(e11), h2(e10)) != h2(op1(e11, e10)) 61.66/62.13 | h2(op1(e11, e11)) != op2(h2(e11), h2(e11)) 61.66/62.13 | op2(h2(e11), h2(e13)) != h2(op1(e11, e13)) 61.66/62.13 | op2(h2(e12), h2(e10)) != h2(op1(e12, e10)) 61.66/62.13 | op2(h2(e12), h2(e12)) != h2(op1(e12, e12)) 61.66/62.13 | h2(op1(e13, e10)) != op2(h2(e13), h2(e10)) 61.66/62.13 | h2(op1(e13, e11)) != op2(h2(e13), h2(e11)) 61.66/62.13 | h2(op1(e13, e13)) != op2(h2(e13), h2(e13)) 61.66/62.13 | e22 != h2(e10) 61.66/62.13 | h2(e13) != e23 61.66/62.13 | h2(e12) != e21 61.66/62.13 | h2(e11) != e20 61.66/62.13 | op2(h2(e13), h2(e12)) != h2(op1(e13, e12)) 61.66/62.13 | h2(op1(e12, e13)) != op2(h2(e12), h2(e13)) 61.66/62.13 | op2(h2(e12), h2(e11)) != h2(op1(e12, e11)) 61.66/62.13 | op2(h2(e11), h2(e12)) != h2(op1(e11, e12)) 61.66/62.13 | op2(h2(e10), h2(e12)) != h2(op1(e10, e12)) 61.66/62.13 | op2(h2(e10), h2(e11)) != h2(op1(e10, e11)) 61.66/62.13 | op2(h2(e10), h2(e10)) != h2(op1(e10, e10))), 61.66/62.13 inference('cnf', [status(esa)], [zf_stmt_5])). 61.66/62.13 tff('2182', plain, e10 = op1(e11, e11), 61.66/62.13 inference('demod', [status(thm)], ['4', '5', '6'])). 61.66/62.13 tff('2183', plain, op2(h2(e11), h2(e11)) = h2(e10), 61.66/62.13 inference('demod', [status(thm)], ['509', '510', '511'])). 61.66/62.13 tff('2184', plain, e21 = h2(e12), inference('cnf', [status(esa)], [ax15])). 61.66/62.13 tff('2185', plain, e21 = h2(e12), inference('cnf', [status(esa)], [ax15])). 61.66/62.13 tff('2186', plain, e21 = h2(e12), inference('cnf', [status(esa)], [ax15])). 61.66/62.13 tff('2187', plain, op2(e21, e21) = h2(e11), 61.66/62.13 inference('cnf', [status(esa)], [ax15])). 61.66/62.13 tff('2188', plain, e11 = op1(e12, e12), 61.66/62.13 inference('cnf', [status(esa)], [ax12])). 61.66/62.13 tff('2189', plain, e21 = h2(e12), inference('cnf', [status(esa)], [ax15])). 61.66/62.13 tff('2190', plain, e21 = h2(e12), inference('cnf', [status(esa)], [ax15])). 61.66/62.13 tff('2191', plain, e21 = h2(e12), inference('cnf', [status(esa)], [ax15])). 61.66/62.13 tff('2192', plain, e21 = h2(e12), inference('cnf', [status(esa)], [ax15])). 61.66/62.13 tff('2193', plain, op2(e21, h2(e11)) = h2(e13), 61.66/62.13 inference('demod', [status(thm)], ['147', '148'])). 61.66/62.13 tff('2194', plain, op1(e12, e11) = e13, 61.66/62.13 inference('demod', [status(thm)], ['10', '11'])). 61.66/62.13 tff('2195', plain, e21 = h2(e12), inference('cnf', [status(esa)], [ax15])). 61.66/62.13 tff('2196', plain, e21 = h2(e12), inference('cnf', [status(esa)], [ax15])). 61.66/62.13 tff('2197', plain, 61.66/62.13 (h2(op1(e10, e13)) != op2(h2(e10), h2(e13)) 61.66/62.13 | op2(h2(e11), h2(e10)) != h2(op1(e11, e10)) 61.66/62.13 | h2(e10) != h2(e10) 61.66/62.13 | op2(h2(e11), h2(e13)) != h2(op1(e11, e13)) 61.66/62.13 | op2(e21, h2(e10)) != h2(op1(e12, e10)) 61.66/62.13 | h2(e11) != h2(e11) 61.66/62.13 | h2(op1(e13, e10)) != op2(h2(e13), h2(e10)) 61.66/62.13 | h2(op1(e13, e11)) != op2(h2(e13), h2(e11)) 61.66/62.13 | h2(op1(e13, e13)) != op2(h2(e13), h2(e13)) 61.66/62.13 | e22 != h2(e10) 61.66/62.13 | h2(e13) != e23 61.66/62.13 | e21 != e21 61.66/62.13 | h2(e11) != e20 61.66/62.13 | op2(h2(e13), e21) != h2(op1(e13, e12)) 61.66/62.13 | h2(op1(e12, e13)) != op2(e21, h2(e13)) 61.66/62.13 | h2(e13) != h2(e13) 61.66/62.13 | op2(h2(e11), e21) != h2(op1(e11, e12)) 61.66/62.13 | op2(h2(e10), e21) != h2(op1(e10, e12)) 61.66/62.13 | op2(h2(e10), h2(e11)) != h2(op1(e10, e11)) 61.66/62.13 | op2(h2(e10), h2(e10)) != h2(op1(e10, e10))), 61.66/62.13 inference('demod', [status(thm)], 61.66/62.13 ['2181', '2182', '2183', '2184', '2185', '2186', '2187', 61.66/62.13 '2188', '2189', '2190', '2191', '2192', '2193', '2194', 61.66/62.13 '2195', '2196'])). 61.66/62.13 tff('2198', plain, 61.66/62.13 (op2(h2(e10), h2(e10)) != h2(op1(e10, e10)) 61.66/62.13 | op2(h2(e10), h2(e11)) != h2(op1(e10, e11)) 61.66/62.13 | op2(h2(e10), e21) != h2(op1(e10, e12)) 61.66/62.13 | op2(h2(e11), e21) != h2(op1(e11, e12)) 61.66/62.13 | h2(op1(e12, e13)) != op2(e21, h2(e13)) 61.66/62.13 | op2(h2(e13), e21) != h2(op1(e13, e12)) 61.66/62.13 | h2(e11) != e20 61.66/62.13 | h2(e13) != e23 61.66/62.13 | e22 != h2(e10) 61.66/62.13 | h2(op1(e13, e13)) != op2(h2(e13), h2(e13)) 61.66/62.13 | h2(op1(e13, e11)) != op2(h2(e13), h2(e11)) 61.66/62.13 | h2(op1(e13, e10)) != op2(h2(e13), h2(e10)) 61.66/62.13 | op2(e21, h2(e10)) != h2(op1(e12, e10)) 61.66/62.13 | op2(h2(e11), h2(e13)) != h2(op1(e11, e13)) 61.66/62.13 | op2(h2(e11), h2(e10)) != h2(op1(e11, e10)) 61.66/62.13 | h2(op1(e10, e13)) != op2(h2(e10), h2(e13))), 61.66/62.13 inference('simplify', [status(thm)], ['2197'])). 61.66/62.13 tff('2199', plain, 61.66/62.13 ~ (h2(op1(e12, e13)) = op2(e21, h2(e13))) | 61.66/62.13 ~ (op2(e21, h2(e10)) = h2(op1(e12, e10))) | 61.66/62.13 ~ (h2(op1(e13, e13)) = op2(h2(e13), h2(e13))) | 61.66/62.13 ~ (op2(h2(e11), h2(e13)) = h2(op1(e11, e13))) | 61.66/62.13 ~ (op2(h2(e10), h2(e11)) = h2(op1(e10, e11))) | ~ (h2(e13) = e23) | 61.66/62.13 ~ (h2(e11) = e20) | ~ (op2(h2(e13), e21) = h2(op1(e13, e12))) | 61.66/62.13 ~ (e22 = h2(e10)) | ~ (op2(h2(e10), e21) = h2(op1(e10, e12))) | 61.66/62.13 ~ (op2(h2(e10), h2(e10)) = h2(op1(e10, e10))) | 61.66/62.13 ~ (h2(op1(e13, e10)) = op2(h2(e13), h2(e10))) | 61.66/62.13 ~ (h2(op1(e13, e11)) = op2(h2(e13), h2(e11))) | 61.66/62.13 ~ (h2(op1(e10, e13)) = op2(h2(e10), h2(e13))) | 61.66/62.13 ~ (op2(h2(e11), h2(e10)) = h2(op1(e11, e10))) | 61.66/62.13 ~ (op2(h2(e11), e21) = h2(op1(e11, e12))), 61.66/62.13 inference('split', [status(esa)], ['2198'])). 61.66/62.13 tff('2200', plain, (e20 = h4(e11)) <= ((e20 = op2(e23, e23))), 61.66/62.13 inference('s_sup+', [status(thm)], ['64', '65'])). 61.66/62.13 tff('2201', plain, 61.66/62.13 (op2(e23, e20) != e23 | op2(e23, e23) != e20 | ~ zip_tseitin_34), 61.66/62.13 inference('cnf', [status(esa)], [zf_stmt_13])). 61.66/62.13 tff('2202', plain, op2(e23, e23) = h4(e11), 61.66/62.13 inference('cnf', [status(esa)], [ax17])). 61.66/62.13 tff('2203', plain, 61.66/62.13 (op2(e23, e20) != e23 | h4(e11) != e20 | ~ zip_tseitin_34), 61.66/62.13 inference('demod', [status(thm)], ['2201', '2202'])). 61.66/62.13 tff('2204', plain, (h4(e11) != e20) <= (~ (h4(e11) = e20)), 61.66/62.13 inference('split', [status(esa)], ['2203'])). 61.66/62.13 tff('2205', plain, 61.66/62.13 (e20 != e20) <= (~ (h4(e11) = e20) & (e20 = op2(e23, e23))), 61.66/62.13 inference('s_sup-', [status(thm)], ['2200', '2204'])). 61.66/62.13 tff('2206', plain, ~ (e20 = op2(e23, e23)) | (h4(e11) = e20), 61.66/62.13 inference('simplify', [status(thm)], ['2205'])). 61.66/62.13 tff('2207', plain, (e20 = op2(e23, e23)) <= ((e20 = op2(e23, e23))), 61.66/62.13 inference('split', [status(esa)], ['63'])). 61.66/62.13 tff('2208', plain, (op2(e23, e23) = e21) <= ((op2(e23, e23) = e21)), 61.66/62.13 inference('split', [status(esa)], ['621'])). 61.66/62.13 tff('2209', plain, 61.66/62.13 (e20 = e21) <= ((e20 = op2(e23, e23)) & (op2(e23, e23) = e21)), 61.66/62.13 inference('s_sup+', [status(thm)], ['2207', '2208'])). 61.66/62.13 tff('2210', plain, e21 != e20, inference('cnf', [status(esa)], [ax8])). 61.66/62.13 tff('2211', plain, ~ (e20 = op2(e23, e23)) | ~ (op2(e23, e23) = e21), 61.66/62.13 inference('simplify_reflect-', [status(thm)], ['2209', '2210'])). 61.66/62.13 tff('2212', plain, (op2(e20, e22) = e20) <= ((op2(e20, e22) = e20)), 61.66/62.13 inference('split', [status(esa)], ['60'])). 61.66/62.13 tff('2213', plain, (e20 = op2(e20, e23)) <= ((op2(e20, e23) = e20)), 61.66/62.13 inference('split', [status(esa)], ['63'])). 61.66/62.13 tff('2214', plain, op2(e20, e22) != op2(e20, e23), 61.66/62.14 inference('cnf', [status(esa)], [ax6])). 61.66/62.14 tff('2215', plain, (op2(e20, e22) != e20) <= ((op2(e20, e23) = e20)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2213', '2214'])). 61.66/62.14 tff('2216', plain, 61.66/62.14 (e20 != e20) <= ((op2(e20, e22) = e20) & (op2(e20, e23) = e20)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2212', '2215'])). 61.66/62.14 tff('2217', plain, ~ (op2(e20, e23) = e20) | ~ (op2(e20, e22) = e20), 61.66/62.14 inference('simplify', [status(thm)], ['2216'])). 61.66/62.14 tff(zf_stmt_35, type, zip_tseitin_63 : $o). 61.66/62.14 tff(zf_stmt_36, axiom, 61.66/62.14 (zip_tseitin_63 => 61.66/62.14 (((e21 = op2(e21,e20)) | (e20 != op2(e21,e21))) & 61.66/62.14 ((e22 = op2(e22,e20)) | (e20 != op2(e22,e22))) & 61.66/62.14 ((e23 = op2(e23,e20)) | (e20 != op2(e23,e23))) & 61.66/62.14 ((e20 = op2(e20,e20)) | (e20 != op2(e20,e20))) & (e20 = op2(e20,e20))))). 61.66/62.14 tff(zf_stmt_37, type, zip_tseitin_62 : $o). 61.66/62.14 tff(zf_stmt_38, type, zip_tseitin_61 : $o). 61.66/62.14 tff(zf_stmt_39, type, zip_tseitin_60 : $o). 61.66/62.14 tff(zf_stmt_40, type, zip_tseitin_59 : $o). 61.66/62.14 tff(zf_stmt_41, type, zip_tseitin_58 : $o). 61.66/62.14 tff(zf_stmt_42, type, zip_tseitin_57 : $o). 61.66/62.14 tff(zf_stmt_43, type, zip_tseitin_56 : $o). 61.66/62.14 tff(zf_stmt_44, axiom, 61.66/62.14 (zip_tseitin_56 => 61.66/62.14 ((e22 = op2(e23,e23)) & ((e20 = op2(e20,e22)) | (e22 != op2(e20,e20))) & 61.66/62.14 ((op2(e21,e21) != e22) | (op2(e21,e22) = e21)) & 61.66/62.14 ((op2(e23,e23) != e22) | (e23 = op2(e23,e22))) & 61.66/62.14 ((e22 != op2(e22,e22)) | (e22 = op2(e22,e22)))))). 61.66/62.14 tff(zf_stmt_45, type, zip_tseitin_55 : $o). 61.66/62.14 tff(zf_stmt_46, type, zip_tseitin_54 : $o). 61.66/62.14 tff(zf_stmt_47, type, zip_tseitin_53 : $o). 61.66/62.14 tff(zf_stmt_48, type, zip_tseitin_52 : $o). 61.66/62.14 tff(zf_stmt_49, type, zip_tseitin_51 : $o). 61.66/62.14 tff(zf_stmt_50, type, zip_tseitin_50 : $o). 61.66/62.14 tff(zf_stmt_51, type, zip_tseitin_49 : $o). 61.66/62.14 tff(zf_stmt_52, type, zip_tseitin_48 : $o). 61.66/62.14 tff(zf_stmt_53, type, zip_tseitin_47 : $o). 61.66/62.14 tff(zf_stmt_54, axiom, 61.66/62.14 (zip_tseitin_47 => 61.66/62.14 ((op2(e20,e21) = e20) & (op2(e21,e20) = e20) & 61.66/62.14 ((op2(e21,e21) != e21) | (e21 != op2(e21,e21))) & 61.66/62.14 ((e22 != op2(e21,e21)) | (e21 != op2(e21,e22))) & 61.66/62.14 ((op2(e21,e23) != e21) | (op2(e21,e21) != e23)) & 61.66/62.14 ((op2(e21,e21) != e20) | (e21 != op2(e21,e20)))))). 61.66/62.14 tff(zf_stmt_55, type, zip_tseitin_46 : $o). 61.66/62.14 tff(zf_stmt_56, axiom, 61.66/62.14 (zip_tseitin_46 => 61.66/62.14 ((e21 = op2(e20,e21)) & ((op2(e20,e20) != e23) | (op2(e20,e23) != e20)) & 61.66/62.14 ((op2(e20,e20) != e22) | (e20 != op2(e20,e22))) & 61.66/62.14 ((e20 != op2(e20,e21)) | (op2(e20,e20) != e21)) & 61.66/62.14 ((op2(e20,e20) != e20) | (op2(e20,e20) != e20)) & (op2(e21,e20) = e21)))). 61.66/62.14 tff(zf_stmt_57, type, zip_tseitin_45 : $o). 61.66/62.14 tff(zf_stmt_58, axiom, 61.66/62.14 (zip_tseitin_45 => 61.66/62.14 (((op2(e21,e21) != e22) | (op2(e21,e22) != e21)) & 61.66/62.14 ((op2(e21,e23) != e21) | (op2(e21,e21) != e23)) & 61.66/62.14 ((op2(e21,e21) != e21) | (e21 != op2(e21,e21))) & 61.66/62.14 ((e21 != op2(e21,e20)) | (e20 != op2(e21,e21))) & (e21 = op2(e21,e21)) & 61.66/62.14 (e21 = op2(e21,e21))))). 61.66/62.14 tff(zf_stmt_59, type, zip_tseitin_44 : $o). 61.66/62.14 tff(zf_stmt_60, type, zip_tseitin_43 : $o). 61.66/62.14 tff(zf_stmt_61, axiom, 61.66/62.14 (zip_tseitin_43 => 61.66/62.14 ((op2(e20,e22) = e22) & ((e20 != op2(e20,e20)) | (e20 != op2(e20,e20))) & 61.66/62.14 ((op2(e20,e20) != e23) | (e20 != op2(e20,e23))) & 61.66/62.14 ((op2(e20,e22) != e20) | (op2(e20,e20) != e22)) & 61.66/62.14 ((op2(e20,e20) != e21) | (e20 != op2(e20,e21))) & (op2(e22,e20) = e22)))). 61.66/62.14 tff(zf_stmt_62, type, zip_tseitin_42 : $o). 61.66/62.14 tff(zf_stmt_63, axiom, 61.66/62.14 (zip_tseitin_42 => 61.66/62.14 ((op2(e22,e21) = e22) & (op2(e21,e22) = e22) & 61.66/62.14 ((e21 != op2(e21,e20)) | (e20 != op2(e21,e21))) & 61.66/62.14 ((op2(e21,e21) != e21) | (e21 != op2(e21,e21))) & 61.66/62.14 ((e21 != op2(e21,e22)) | (e22 != op2(e21,e21))) & 61.66/62.14 ((op2(e21,e23) != e21) | (e23 != op2(e21,e21)))))). 61.66/62.14 tff(zf_stmt_64, type, zip_tseitin_41 : $o). 61.66/62.14 tff(zf_stmt_65, axiom, 61.66/62.14 (zip_tseitin_41 => 61.66/62.14 (((op2(e22,e20) != e22) | (op2(e22,e22) != e20)) & 61.66/62.14 ((op2(e22,e21) != e22) | (op2(e22,e22) != e21)) & 61.66/62.14 ((e22 != op2(e22,e23)) | (op2(e22,e22) != e23)) & 61.66/62.14 ((e22 != op2(e22,e22)) | (op2(e22,e22) != e22)) & (e22 = op2(e22,e22)) & 61.66/62.14 (e22 = op2(e22,e22))))). 61.66/62.14 tff(zf_stmt_66, type, zip_tseitin_40 : $o). 61.66/62.14 tff(zf_stmt_67, axiom, 61.66/62.14 (zip_tseitin_40 => 61.66/62.14 ((e23 = op2(e23,e21)) & (op2(e21,e23) = e23) & 61.66/62.14 ((op2(e21,e21) != e22) | (op2(e21,e22) != e21)) & 61.66/62.14 ((e23 != op2(e21,e21)) | (op2(e21,e23) != e21)) & 61.66/62.14 ((e21 != op2(e21,e21)) | (op2(e21,e21) != e21)) & 61.66/62.14 ((e20 != op2(e21,e21)) | (op2(e21,e20) != e21))))). 61.66/62.14 tff(zf_stmt_68, type, zip_tseitin_39 : $o). 61.66/62.14 tff(zf_stmt_69, axiom, 61.66/62.14 (zip_tseitin_39 => 61.66/62.14 (((e20 != op2(e23,e23)) | (op2(e23,e20) != e23)) & 61.66/62.14 ((op2(e23,e22) != e23) | (e22 != op2(e23,e23))) & 61.66/62.14 ((e23 != op2(e23,e23)) | (e23 != op2(e23,e23))) & 61.66/62.14 ((e23 != op2(e23,e21)) | (e21 != op2(e23,e23))) & (op2(e23,e23) = e23) & 61.66/62.14 (op2(e23,e23) = e23)))). 61.66/62.14 tff(zf_stmt_70, type, zip_tseitin_38 : $o). 61.66/62.14 tff(zf_stmt_71, axiom, 61.66/62.14 (zip_tseitin_38 => 61.66/62.14 (((e23 != op2(e22,e22)) | (e22 != op2(e22,e23))) & 61.66/62.14 ((op2(e22,e22) != e22) | (e22 != op2(e22,e22))) & 61.66/62.14 ((e22 != op2(e22,e21)) | (op2(e22,e22) != e21)) & 61.66/62.14 ((e22 != op2(e22,e20)) | (e20 != op2(e22,e22))) & (e23 = op2(e22,e23)) & 61.66/62.14 (e23 = op2(e23,e22))))). 61.66/62.14 tff(zf_stmt_72, type, zip_tseitin_37 : $o). 61.66/62.14 tff(zf_stmt_73, axiom, 61.66/62.14 (zip_tseitin_37 => 61.66/62.14 ((e23 = op2(e20,e23)) & ((e20 != op2(e20,e20)) | (op2(e20,e20) != e20)) & 61.66/62.14 ((op2(e20,e21) != e20) | (e21 != op2(e20,e20))) & 61.66/62.14 ((op2(e20,e23) != e20) | (op2(e20,e20) != e23)) & 61.66/62.14 ((e20 != op2(e20,e22)) | (op2(e20,e20) != e22)) & (op2(e23,e20) = e23)))). 61.66/62.14 tff(zf_stmt_74, type, zip_tseitin_36 : $o). 61.66/62.14 tff(zf_stmt_75, type, zip_tseitin_35 : $o). 61.66/62.14 tff(zf_stmt_76, axiom, 61.66/62.14 (zip_tseitin_35 => 61.66/62.14 ((e21 = op2(e21,e22)) & ((e21 != op2(e22,e22)) | (e22 != op2(e22,e21))) & 61.66/62.14 ((e22 != op2(e22,e22)) | (e22 != op2(e22,e22))) & 61.66/62.14 ((e22 != op2(e22,e23)) | (op2(e22,e22) != e23)) & 61.66/62.14 ((op2(e22,e20) != e22) | (e20 != op2(e22,e22))) & (e21 = op2(e22,e21))))). 61.66/62.14 tff(zf_stmt_77, type, zip_tseitin_34 : $o). 61.66/62.14 tff(zf_stmt_78, type, zip_tseitin_33 : $o). 61.66/62.14 tff(zf_stmt_79, axiom, 61.66/62.14 (zip_tseitin_33 => 61.66/62.14 ((op2(e20,e22) = e20) & (e20 = op2(e22,e20)) & 61.66/62.14 ((e21 != op2(e22,e22)) | (e22 != op2(e22,e21))) & 61.66/62.14 ((e23 != op2(e22,e22)) | (e22 != op2(e22,e23))) & 61.66/62.14 ((op2(e22,e22) != e22) | (e22 != op2(e22,e22))) & 61.66/62.14 ((e22 != op2(e22,e20)) | (e20 != op2(e22,e22)))))). 61.66/62.14 tff(zf_stmt_80, type, zip_tseitin_32 : $o). 61.66/62.14 tff(zf_stmt_81, axiom, 61.66/62.14 ((zip_tseitin_63 | zip_tseitin_62 | zip_tseitin_61 | zip_tseitin_60 | 61.66/62.14 zip_tseitin_59 | zip_tseitin_58 | zip_tseitin_57 | zip_tseitin_56 | 61.66/62.14 zip_tseitin_55 | zip_tseitin_54 | zip_tseitin_53 | zip_tseitin_52 | 61.66/62.14 zip_tseitin_51 | zip_tseitin_50 | zip_tseitin_49 | zip_tseitin_48) & 61.66/62.14 (zip_tseitin_47 | zip_tseitin_46 | zip_tseitin_45 | zip_tseitin_44 | 61.66/62.14 zip_tseitin_43 | zip_tseitin_42 | zip_tseitin_41 | zip_tseitin_40 | 61.66/62.14 zip_tseitin_39 | zip_tseitin_38 | zip_tseitin_37 | zip_tseitin_36 | 61.66/62.14 zip_tseitin_35 | zip_tseitin_34 | zip_tseitin_33 | zip_tseitin_32))). 61.66/62.14 tff('2218', plain, 61.66/62.14 ( zip_tseitin_63 61.66/62.14 | zip_tseitin_62 61.66/62.14 | zip_tseitin_61 61.66/62.14 | zip_tseitin_60 61.66/62.14 | zip_tseitin_59 61.66/62.14 | zip_tseitin_58 61.66/62.14 | zip_tseitin_57 61.66/62.14 | zip_tseitin_56 61.66/62.14 | zip_tseitin_55 61.66/62.14 | zip_tseitin_54 61.66/62.14 | zip_tseitin_53 61.66/62.14 | zip_tseitin_52 61.66/62.14 | zip_tseitin_51 61.66/62.14 | zip_tseitin_50 61.66/62.14 | zip_tseitin_49 61.66/62.14 | zip_tseitin_48), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_81])). 61.66/62.14 tff('2219', plain, 61.66/62.14 ( zip_tseitin_62) | ( zip_tseitin_63) | ( zip_tseitin_48) | 61.66/62.14 ( zip_tseitin_59) | ( zip_tseitin_51) | ( zip_tseitin_55) | 61.66/62.14 ( zip_tseitin_58) | ( zip_tseitin_52) | ( zip_tseitin_57) | 61.66/62.14 ( zip_tseitin_54) | ( zip_tseitin_49) | ( zip_tseitin_60) | 61.66/62.14 ( zip_tseitin_61) | ( zip_tseitin_56) | ( zip_tseitin_53) | 61.66/62.14 ( zip_tseitin_50), inference('split', [status(esa)], ['2218'])). 61.66/62.14 tff('2220', plain, (e20 = op2(e20, e20) | ~ zip_tseitin_63), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_36])). 61.66/62.14 tff('2221', plain, ~ ( zip_tseitin_63) | (e20 = op2(e20, e20)), 61.66/62.14 inference('split', [status(esa)], ['2220'])). 61.66/62.14 tff('2222', plain, (e22 = op2(e23, e23) | ~ zip_tseitin_56), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_44])). 61.66/62.14 tff('2223', plain, ~ ( zip_tseitin_56) | (e22 = op2(e23, e23)), 61.66/62.14 inference('split', [status(esa)], ['2222'])). 61.66/62.14 tff('2224', plain, (h1(e11) = e20) <= ((e20 = op2(e20, e20))), 61.66/62.14 inference('s_sup+', [status(thm)], ['1510', '1511'])). 61.66/62.14 tff('2225', plain, (h1(e11) != e20) <= ((e20 = op2(e22, e20))), 61.66/62.14 inference('s_sup-', [status(thm)], ['807', '810'])). 61.66/62.14 tff('2226', plain, 61.66/62.14 (e20 != e20) <= ((e20 = op2(e22, e20)) & (e20 = op2(e20, e20))), 61.66/62.14 inference('s_sup-', [status(thm)], ['2224', '2225'])). 61.66/62.14 tff('2227', plain, ~ (e20 = op2(e20, e20)) | ~ (e20 = op2(e22, e20)), 61.66/62.14 inference('simplify', [status(thm)], ['2226'])). 61.66/62.14 tff('2228', plain, (e20 = op2(e22, e20)) <= ((e20 = op2(e22, e20))), 61.66/62.14 inference('split', [status(esa)], ['294'])). 61.66/62.14 tff('2229', plain, (e10 = op1(e12, e10)) <= ((e10 = op1(e12, e10))), 61.66/62.14 inference('split', [status(esa)], ['889'])). 61.66/62.14 tff('2230', plain, 61.66/62.14 (h3(op1(e12, e10)) != op2(e22, e20)) 61.66/62.14 <= (~ (h3(op1(e12, e10)) = op2(e22, h3(e10)))), 61.66/62.14 inference('demod', [status(thm)], ['486', '487'])). 61.66/62.14 tff('2231', plain, 61.66/62.14 (h3(e10) != op2(e22, e20)) 61.66/62.14 <= (~ (h3(op1(e12, e10)) = op2(e22, h3(e10))) & (e10 = op1(e12, e10))), 61.66/62.14 inference('s_sup-', [status(thm)], ['2229', '2230'])). 61.66/62.14 tff('2232', plain, h3(e10) = e20, 61.66/62.14 inference('s_sup+', [status(thm)], ['472', '476'])). 61.66/62.14 tff('2233', plain, 61.66/62.14 (e20 != op2(e22, e20)) 61.66/62.14 <= (~ (h3(op1(e12, e10)) = op2(e22, h3(e10))) & (e10 = op1(e12, e10))), 61.66/62.14 inference('demod', [status(thm)], ['2231', '2232'])). 61.66/62.14 tff('2234', plain, 61.66/62.14 (e20 != e20) 61.66/62.14 <= (~ (h3(op1(e12, e10)) = op2(e22, h3(e10))) & 61.66/62.14 (e20 = op2(e22, e20)) & 61.66/62.14 (e10 = op1(e12, e10))), 61.66/62.14 inference('s_sup-', [status(thm)], ['2228', '2233'])). 61.66/62.14 tff('2235', plain, 61.66/62.14 (h3(op1(e12, e10)) = op2(e22, h3(e10))) | ~ (e10 = op1(e12, e10)) | 61.66/62.14 ~ (e20 = op2(e22, e20)), inference('simplify', [status(thm)], ['2234'])). 61.66/62.14 tff('2236', plain, (op2(e22, e23) = e22) <= ((op2(e22, e23) = e22)), 61.66/62.14 inference('split', [status(esa)], ['212'])). 61.66/62.14 tff('2237', plain, (op2(e21, e23) = e22) <= ((op2(e21, e23) = e22)), 61.66/62.14 inference('split', [status(esa)], ['241'])). 61.66/62.14 tff('2238', plain, op2(e21, e23) != op2(e22, e23), 61.66/62.14 inference('cnf', [status(esa)], [ax6])). 61.66/62.14 tff('2239', plain, (e22 != op2(e22, e23)) <= ((op2(e21, e23) = e22)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2237', '2238'])). 61.66/62.14 tff('2240', plain, 61.66/62.14 (e22 != e22) <= ((op2(e21, e23) = e22) & (op2(e22, e23) = e22)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2236', '2239'])). 61.66/62.14 tff('2241', plain, ~ (op2(e21, e23) = e22) | ~ (op2(e22, e23) = e22), 61.66/62.14 inference('simplify', [status(thm)], ['2240'])). 61.66/62.14 tff('2242', plain, (e22 = h4(e11)) <= ((e22 = op2(e23, e23))), 61.66/62.14 inference('s_sup+', [status(thm)], ['1481', '1482'])). 61.66/62.14 tff('2243', plain, (e22 != h4(e11)) <= ((op2(e22, e23) = e22)), 61.66/62.14 inference('s_sup-', [status(thm)], ['815', '818'])). 61.66/62.14 tff('2244', plain, 61.66/62.14 (e22 != e22) <= ((op2(e22, e23) = e22) & (e22 = op2(e23, e23))), 61.66/62.14 inference('s_sup-', [status(thm)], ['2242', '2243'])). 61.66/62.14 tff('2245', plain, ~ (e22 = op2(e23, e23)) | ~ (op2(e22, e23) = e22), 61.66/62.14 inference('simplify', [status(thm)], ['2244'])). 61.66/62.14 tff('2246', plain, (op2(e22, e23) = e22) <= ((op2(e22, e23) = e22)), 61.66/62.14 inference('split', [status(esa)], ['212'])). 61.66/62.14 tff('2247', plain, (op1(e12, e13) = e12) <= ((op1(e12, e13) = e12)), 61.66/62.14 inference('split', [status(esa)], ['27'])). 61.66/62.14 tff('2248', plain, 61.66/62.14 (op2(e22, e23) != h3(op1(e12, e13))) 61.66/62.14 <= (~ (op2(e22, h3(e13)) = h3(op1(e12, e13)))), 61.66/62.14 inference('demod', [status(thm)], ['496', '497'])). 61.66/62.14 tff('2249', plain, 61.66/62.14 (op2(e22, e23) != h3(e12)) 61.66/62.14 <= (~ (op2(e22, h3(e13)) = h3(op1(e12, e13))) & (op1(e12, e13) = e12)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2247', '2248'])). 61.66/62.14 tff('2250', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.14 tff('2251', plain, 61.66/62.14 (op2(e22, e23) != e22) 61.66/62.14 <= (~ (op2(e22, h3(e13)) = h3(op1(e12, e13))) & (op1(e12, e13) = e12)), 61.66/62.14 inference('demod', [status(thm)], ['2249', '2250'])). 61.66/62.14 tff('2252', plain, 61.66/62.14 (e22 != e22) 61.66/62.14 <= (~ (op2(e22, h3(e13)) = h3(op1(e12, e13))) & 61.66/62.14 (op1(e12, e13) = e12) & 61.66/62.14 (op2(e22, e23) = e22)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2246', '2251'])). 61.66/62.14 tff('2253', plain, 61.66/62.14 (op2(e22, h3(e13)) = h3(op1(e12, e13))) | ~ (op1(e12, e13) = e12) | 61.66/62.14 ~ (op2(e22, e23) = e22), inference('simplify', [status(thm)], ['2252'])). 61.66/62.14 tff('2254', plain, 61.66/62.14 (e21 = op2(e22, e20) 61.66/62.14 | op2(e22, e20) = e22 61.66/62.14 | e23 = op2(e22, e20) 61.66/62.14 | op2(e22, e20) = e20), 61.66/62.14 inference('cnf', [status(esa)], [ax3])). 61.66/62.14 tff('2255', plain, 61.66/62.14 (e22 = op2(e22, e20)) | (e20 = op2(e22, e20)) | (op2(e22, e20) = e23) | 61.66/62.14 (op2(e22, e20) = e21), inference('split', [status(esa)], ['2254'])). 61.66/62.14 tff('2256', plain, (op2(e22, e20) = e23) <= ((op2(e22, e20) = e23)), 61.66/62.14 inference('split', [status(esa)], ['145'])). 61.66/62.14 tff('2257', plain, op2(e22, e21) != op2(e22, e20), 61.66/62.14 inference('cnf', [status(esa)], [ax6])). 61.66/62.14 tff('2258', plain, op2(e22, e21) = h3(e13), 61.66/62.14 inference('demod', [status(thm)], ['456', '457'])). 61.66/62.14 tff('2259', plain, h3(e13) != op2(e22, e20), 61.66/62.14 inference('demod', [status(thm)], ['2257', '2258'])). 61.66/62.14 tff('2260', plain, e23 = h3(e13), 61.66/62.14 inference('s_sup+', [status(thm)], ['453', '458'])). 61.66/62.14 tff('2261', plain, e23 != op2(e22, e20), 61.66/62.14 inference('demod', [status(thm)], ['2259', '2260'])). 61.66/62.14 tff('2262', plain, (e23 != e23) <= ((op2(e22, e20) = e23)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2256', '2261'])). 61.66/62.14 tff('2263', plain, ~ (op2(e22, e20) = e23), 61.66/62.14 inference('simplify', [status(thm)], ['2262'])). 61.66/62.14 tff('2264', plain, 61.66/62.14 (op2(e22, e20) = e21 61.66/62.14 | e21 = op2(e22, e21) 61.66/62.14 | e21 = op2(e22, e23) 61.66/62.14 | e21 = op2(e22, e22)), 61.66/62.14 inference('cnf', [status(esa)], [ax4])). 61.66/62.14 tff('2265', plain, (op2(e22, e20) = e21) <= ((op2(e22, e20) = e21)), 61.66/62.14 inference('split', [status(esa)], ['2264'])). 61.66/62.14 tff('2266', plain, op2(e22, e22) != op2(e22, e20), 61.66/62.14 inference('cnf', [status(esa)], [ax6])). 61.66/62.14 tff('2267', plain, e21 = op2(e22, e22), 61.66/62.14 inference('cnf', [status(esa)], [ax13])). 61.66/62.14 tff('2268', plain, e21 != op2(e22, e20), 61.66/62.14 inference('demod', [status(thm)], ['2266', '2267'])). 61.66/62.14 tff('2269', plain, ~ (op2(e22, e20) = e21), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2265', '2268'])). 61.66/62.14 tff('2270', plain, 61.66/62.14 (op2(e22, e21) = e22 61.66/62.14 | op2(e22, e23) = e22 61.66/62.14 | e22 = op2(e22, e22) 61.66/62.14 | e22 = op2(e22, e20)), 61.66/62.14 inference('cnf', [status(esa)], [ax4])). 61.66/62.14 tff('2271', plain, 61.66/62.14 (e22 = op2(e22, e20)) | (op2(e22, e23) = e22) | (op2(e22, e21) = e22) | 61.66/62.14 (e22 = op2(e22, e22)), inference('split', [status(esa)], ['2270'])). 61.66/62.14 tff('2272', plain, (e23 = h2(e13)) <= ((op2(e21, e20) = e23)), 61.66/62.14 inference('s_sup+', [status(thm)], ['146', '156'])). 61.66/62.14 tff('2273', plain, (e23 = op2(e23, e20)) <= ((e23 = op2(e23, e20))), 61.66/62.14 inference('split', [status(esa)], ['145'])). 61.66/62.14 tff('2274', plain, op2(e21, e20) != op2(e23, e20), 61.66/62.14 inference('cnf', [status(esa)], [ax6])). 61.66/62.14 tff('2275', plain, op2(e21, e20) = h2(e13), 61.66/62.14 inference('demod', [status(thm)], ['149', '155'])). 61.66/62.14 tff('2276', plain, h2(e13) != op2(e23, e20), 61.66/62.14 inference('demod', [status(thm)], ['2274', '2275'])). 61.66/62.14 tff('2277', plain, (h2(e13) != e23) <= ((e23 = op2(e23, e20))), 61.66/62.14 inference('s_sup-', [status(thm)], ['2273', '2276'])). 61.66/62.14 tff('2278', plain, 61.66/62.14 (e23 != e23) <= ((op2(e21, e20) = e23) & (e23 = op2(e23, e20))), 61.66/62.14 inference('s_sup-', [status(thm)], ['2272', '2277'])). 61.66/62.14 tff('2279', plain, ~ (op2(e21, e20) = e23) | ~ (e23 = op2(e23, e20)), 61.66/62.14 inference('simplify', [status(thm)], ['2278'])). 61.66/62.14 tff('2280', plain, 61.66/62.14 (op2(e20, e20) != e20 | e20 != op2(e20, e20) | ~ zip_tseitin_37), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_73])). 61.66/62.14 tff('2281', plain, (~ zip_tseitin_37 | op2(e20, e20) != e20), 61.66/62.14 inference('simplify', [status(thm)], ['2280'])). 61.66/62.14 tff('2282', plain, h1(e11) = op2(e20, e20), 61.66/62.14 inference('cnf', [status(esa)], [ax14])). 61.66/62.14 tff('2283', plain, (~ zip_tseitin_37 | h1(e11) != e20), 61.66/62.14 inference('demod', [status(thm)], ['2281', '2282'])). 61.66/62.14 tff('2284', plain, ~ ( zip_tseitin_37) | ~ (e20 = h1(e11)), 61.66/62.14 inference('split', [status(esa)], ['2283'])). 61.66/62.14 tff('2285', plain, 61.66/62.14 (op2(e20, e22) = e20) | (op2(e23, e22) = e20) | (op2(e21, e22) = e20), 61.66/62.14 inference('split', [status(esa)], ['60'])). 61.66/62.14 tff('2286', plain, 61.66/62.14 (op2(e23, e23) = e22 61.66/62.14 | e23 = op2(e23, e23) 61.66/62.14 | op2(e23, e23) = e21 61.66/62.14 | e20 = op2(e23, e23)), 61.66/62.14 inference('cnf', [status(esa)], [ax3])). 61.66/62.14 tff('2287', plain, 61.66/62.14 (op2(e23, e23) = e21) | (e22 = op2(e23, e23)) | (e23 = op2(e23, e23)) | 61.66/62.14 (e20 = op2(e23, e23)), inference('split', [status(esa)], ['2286'])). 61.66/62.14 tff('2288', plain, (h4(e13) = op2(e23, e21)) <= ((op2(e23, e23) = e21)), 61.66/62.14 inference('s_sup+', [status(thm)], ['624', '625'])). 61.66/62.14 tff('2289', plain, (e21 = op2(e23, e21)) <= ((e21 = op2(e23, e21))), 61.66/62.14 inference('split', [status(esa)], ['2091'])). 61.66/62.14 tff('2290', plain, 61.66/62.14 (e21 = h4(e13)) <= ((e21 = op2(e23, e21)) & (op2(e23, e23) = e21)), 61.66/62.14 inference('s_sup+', [status(thm)], ['2288', '2289'])). 61.66/62.14 tff('2291', plain, (h4(e13) = op2(e23, e21)) <= ((op2(e23, e23) = e21)), 61.66/62.14 inference('s_sup+', [status(thm)], ['624', '625'])). 61.66/62.14 tff('2292', plain, h4(e11) != op2(e23, e21), 61.66/62.14 inference('demod', [status(thm)], ['406', '407'])). 61.66/62.14 tff('2293', plain, (h4(e11) != h4(e13)) <= ((op2(e23, e23) = e21)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2291', '2292'])). 61.66/62.14 tff('2294', plain, (e21 = h4(e11)) <= ((op2(e23, e23) = e21)), 61.66/62.14 inference('s_sup+', [status(thm)], ['622', '623'])). 61.66/62.14 tff('2295', plain, (e21 != h4(e13)) <= ((op2(e23, e23) = e21)), 61.66/62.14 inference('demod', [status(thm)], ['2293', '2294'])). 61.66/62.14 tff('2296', plain, ~ (e21 = op2(e23, e21)) | ~ (op2(e23, e23) = e21), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2290', '2295'])). 61.66/62.14 tff('2297', plain, 61.66/62.14 (op2(e23, e22) = e23) | (e23 = op2(e23, e20)) | (e23 = op2(e23, e23)) | 61.66/62.14 (e23 = op2(e23, e21)), inference('split', [status(esa)], ['124'])). 61.66/62.14 tff('2298', plain, (op2(e23, e20) = e23 | ~ zip_tseitin_37), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_73])). 61.66/62.14 tff('2299', plain, ~ ( zip_tseitin_37) | (e23 = op2(e23, e20)), 61.66/62.14 inference('split', [status(esa)], ['2298'])). 61.66/62.14 tff('2300', plain, 61.66/62.14 (op2(e20, e21) = e21) | (e21 = op2(e23, e21)) | (h2(e11) = e21), 61.66/62.14 inference('split', [status(esa)], ['2091'])). 61.66/62.14 tff('2301', plain, (e20 = h1(e11)) <= ((e20 = h1(e11))), 61.66/62.14 inference('split', [status(esa)], ['294'])). 61.66/62.14 tff('2302', plain, (op2(e20, e22) = e20) <= ((op2(e20, e22) = e20)), 61.66/62.14 inference('split', [status(esa)], ['60'])). 61.66/62.14 tff('2303', plain, h1(e11) != op2(e20, e22), 61.66/62.14 inference('demod', [status(thm)], ['1497', '1498'])). 61.66/62.14 tff('2304', plain, (h1(e11) != e20) <= ((op2(e20, e22) = e20)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2302', '2303'])). 61.66/62.14 tff('2305', plain, (e20 != e20) <= ((e20 = h1(e11)) & (op2(e20, e22) = e20)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2301', '2304'])). 61.66/62.14 tff('2306', plain, ~ (e20 = h1(e11)) | ~ (op2(e20, e22) = e20), 61.66/62.14 inference('simplify', [status(thm)], ['2305'])). 61.66/62.14 tff('2307', plain, 61.66/62.14 (e22 != op2(e23, e23) | e23 != op2(e23, e22) | ~ zip_tseitin_44), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_18])). 61.66/62.14 tff('2308', plain, 61.66/62.14 ~ (e22 = op2(e23, e23)) | ~ ( zip_tseitin_44) | ~ (op2(e23, e22) = e23), 61.66/62.14 inference('split', [status(esa)], ['2307'])). 61.66/62.14 tff('2309', plain, (e20 = h4(e11)) <= ((e20 = op2(e23, e23))), 61.66/62.14 inference('s_sup+', [status(thm)], ['64', '65'])). 61.66/62.14 tff('2310', plain, (op2(e22, e23) = e20) <= ((op2(e22, e23) = e20)), 61.66/62.14 inference('split', [status(esa)], ['63'])). 61.66/62.14 tff('2311', plain, op2(e22, e23) != h4(e11), 61.66/62.14 inference('demod', [status(thm)], ['816', '817'])). 61.66/62.14 tff('2312', plain, (e20 != h4(e11)) <= ((op2(e22, e23) = e20)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2310', '2311'])). 61.66/62.14 tff('2313', plain, 61.66/62.14 (e20 != e20) <= ((op2(e22, e23) = e20) & (e20 = op2(e23, e23))), 61.66/62.14 inference('s_sup-', [status(thm)], ['2309', '2312'])). 61.66/62.14 tff('2314', plain, ~ (e20 = op2(e23, e23)) | ~ (op2(e22, e23) = e20), 61.66/62.14 inference('simplify', [status(thm)], ['2313'])). 61.66/62.14 tff('2315', plain, (op2(e22, e23) = e20) <= ((op2(e22, e23) = e20)), 61.66/62.14 inference('split', [status(esa)], ['63'])). 61.66/62.14 tff('2316', plain, (e20 = op2(e20, e23)) <= ((op2(e20, e23) = e20)), 61.66/62.14 inference('split', [status(esa)], ['63'])). 61.66/62.14 tff('2317', plain, op2(e20, e23) != op2(e22, e23), 61.66/62.14 inference('cnf', [status(esa)], [ax6])). 61.66/62.14 tff('2318', plain, (e20 != op2(e22, e23)) <= ((op2(e20, e23) = e20)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2316', '2317'])). 61.66/62.14 tff('2319', plain, 61.66/62.14 (e20 != e20) <= ((op2(e20, e23) = e20) & (op2(e22, e23) = e20)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2315', '2318'])). 61.66/62.14 tff('2320', plain, ~ (op2(e20, e23) = e20) | ~ (op2(e22, e23) = e20), 61.66/62.14 inference('simplify', [status(thm)], ['2319'])). 61.66/62.14 tff('2321', plain, (e22 = h2(e13)) <= ((op2(e21, e20) = e22)), 61.66/62.14 inference('s_sup+', [status(thm)], ['2170', '2171'])). 61.66/62.14 tff('2322', plain, (e22 = op2(e22, e20)) <= ((e22 = op2(e22, e20))), 61.66/62.14 inference('split', [status(esa)], ['212'])). 61.66/62.14 tff('2323', plain, op2(e21, e20) != op2(e22, e20), 61.66/62.14 inference('cnf', [status(esa)], [ax6])). 61.66/62.14 tff('2324', plain, op2(e21, e20) = h2(e13), 61.66/62.14 inference('demod', [status(thm)], ['149', '155'])). 61.66/62.14 tff('2325', plain, h2(e13) != op2(e22, e20), 61.66/62.14 inference('demod', [status(thm)], ['2323', '2324'])). 61.66/62.14 tff('2326', plain, (h2(e13) != e22) <= ((e22 = op2(e22, e20))), 61.66/62.14 inference('s_sup-', [status(thm)], ['2322', '2325'])). 61.66/62.14 tff('2327', plain, 61.66/62.14 (e22 != e22) <= ((op2(e21, e20) = e22) & (e22 = op2(e22, e20))), 61.66/62.14 inference('s_sup-', [status(thm)], ['2321', '2326'])). 61.66/62.14 tff('2328', plain, ~ (op2(e21, e20) = e22) | ~ (e22 = op2(e22, e20)), 61.66/62.14 inference('simplify', [status(thm)], ['2327'])). 61.66/62.14 tff('2329', plain, (e22 = op2(e22, e20)) <= ((e22 = op2(e22, e20))), 61.66/62.14 inference('split', [status(esa)], ['212'])). 61.66/62.14 tff('2330', plain, (op2(e22, e23) = e22) <= ((op2(e22, e23) = e22)), 61.66/62.14 inference('split', [status(esa)], ['212'])). 61.66/62.14 tff('2331', plain, op2(e22, e23) != op2(e22, e20), 61.66/62.14 inference('cnf', [status(esa)], [ax6])). 61.66/62.14 tff('2332', plain, (e22 != op2(e22, e20)) <= ((op2(e22, e23) = e22)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2330', '2331'])). 61.66/62.14 tff('2333', plain, 61.66/62.14 (e22 != e22) <= ((op2(e22, e23) = e22) & (e22 = op2(e22, e20))), 61.66/62.14 inference('s_sup-', [status(thm)], ['2329', '2332'])). 61.66/62.14 tff('2334', plain, ~ (op2(e22, e23) = e22) | ~ (e22 = op2(e22, e20)), 61.66/62.14 inference('simplify', [status(thm)], ['2333'])). 61.66/62.14 tff('2335', plain, (e22 = h1(e11)) <= ((h1(e11) = e22)), 61.66/62.14 inference('split', [status(esa)], ['50'])). 61.66/62.14 tff('2336', plain, (e22 = op2(e22, e20)) <= ((e22 = op2(e22, e20))), 61.66/62.14 inference('split', [status(esa)], ['212'])). 61.66/62.14 tff('2337', plain, h1(e11) != op2(e22, e20), 61.66/62.14 inference('demod', [status(thm)], ['808', '809'])). 61.66/62.14 tff('2338', plain, (h1(e11) != e22) <= ((e22 = op2(e22, e20))), 61.66/62.14 inference('s_sup-', [status(thm)], ['2336', '2337'])). 61.66/62.14 tff('2339', plain, (e22 != e22) <= ((h1(e11) = e22) & (e22 = op2(e22, e20))), 61.66/62.14 inference('s_sup-', [status(thm)], ['2335', '2338'])). 61.66/62.14 tff('2340', plain, ~ (h1(e11) = e22) | ~ (e22 = op2(e22, e20)), 61.66/62.14 inference('simplify', [status(thm)], ['2339'])). 61.66/62.14 tff('2341', plain, 61.66/62.14 (h4(op1(e10, e12)) != op2(h4(e10), h4(e12)) 61.66/62.14 | op2(h4(e11), h4(e10)) != h4(op1(e11, e10)) 61.66/62.14 | h4(op1(e11, e11)) != op2(h4(e11), h4(e11)) 61.66/62.14 | h4(op1(e11, e12)) != op2(h4(e11), h4(e12)) 61.66/62.14 | op2(h4(e11), h4(e13)) != h4(op1(e11, e13)) 61.66/62.14 | h4(op1(e12, e12)) != op2(h4(e12), h4(e12)) 61.66/62.14 | op2(h4(e12), h4(e13)) != h4(op1(e12, e13)) 61.66/62.14 | h4(op1(e13, e11)) != op2(h4(e13), h4(e11)) 61.66/62.14 | op2(h4(e13), h4(e12)) != h4(op1(e13, e12)) 61.66/62.14 | h4(e10) != e20 61.66/62.14 | h4(e12) != e23 61.66/62.14 | e22 != h4(e13) 61.66/62.14 | h4(e11) != e21 61.66/62.14 | op2(h4(e13), h4(e13)) != h4(op1(e13, e13)) 61.66/62.14 | op2(h4(e13), h4(e10)) != h4(op1(e13, e10)) 61.66/62.14 | op2(h4(e12), h4(e11)) != h4(op1(e12, e11)) 61.66/62.14 | h4(op1(e12, e10)) != op2(h4(e12), h4(e10)) 61.66/62.14 | h4(op1(e10, e13)) != op2(h4(e10), h4(e13)) 61.66/62.14 | op2(h4(e10), h4(e11)) != h4(op1(e10, e11)) 61.66/62.14 | op2(h4(e10), h4(e10)) != h4(op1(e10, e10))), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_5])). 61.66/62.14 tff('2342', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.14 tff('2343', plain, e10 = op1(e11, e11), 61.66/62.14 inference('demod', [status(thm)], ['4', '5', '6'])). 61.66/62.14 tff('2344', plain, op2(h4(e11), h4(e11)) = h4(e10), 61.66/62.14 inference('demod', [status(thm)], ['72', '73', '74'])). 61.66/62.14 tff('2345', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.14 tff('2346', plain, e11 = op1(e12, e12), 61.66/62.14 inference('cnf', [status(esa)], [ax12])). 61.66/62.14 tff('2347', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.14 tff('2348', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.14 tff('2349', plain, op2(e23, e23) = h4(e11), 61.66/62.14 inference('cnf', [status(esa)], [ax17])). 61.66/62.14 tff('2350', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.14 tff('2351', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.14 tff('2352', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.14 tff('2353', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.14 tff('2354', plain, h4(e13) = op2(e23, h4(e11)), 61.66/62.14 inference('demod', [status(thm)], ['84', '85'])). 61.66/62.14 tff('2355', plain, op1(e12, e11) = e13, 61.66/62.14 inference('demod', [status(thm)], ['10', '11'])). 61.66/62.14 tff('2356', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.14 tff('2357', plain, 61.66/62.14 (h4(op1(e10, e12)) != op2(h4(e10), e23) 61.66/62.14 | op2(h4(e11), h4(e10)) != h4(op1(e11, e10)) 61.66/62.14 | h4(e10) != h4(e10) 61.66/62.14 | h4(op1(e11, e12)) != op2(h4(e11), e23) 61.66/62.14 | op2(h4(e11), h4(e13)) != h4(op1(e11, e13)) 61.66/62.14 | h4(e11) != h4(e11) 61.66/62.14 | op2(e23, h4(e13)) != h4(op1(e12, e13)) 61.66/62.14 | h4(op1(e13, e11)) != op2(h4(e13), h4(e11)) 61.66/62.14 | op2(h4(e13), e23) != h4(op1(e13, e12)) 61.66/62.14 | h4(e10) != e20 61.66/62.14 | e23 != e23 61.66/62.14 | e22 != h4(e13) 61.66/62.14 | h4(e11) != e21 61.66/62.14 | op2(h4(e13), h4(e13)) != h4(op1(e13, e13)) 61.66/62.14 | op2(h4(e13), h4(e10)) != h4(op1(e13, e10)) 61.66/62.14 | h4(e13) != h4(e13) 61.66/62.14 | h4(op1(e12, e10)) != op2(e23, h4(e10)) 61.66/62.14 | h4(op1(e10, e13)) != op2(h4(e10), h4(e13)) 61.66/62.14 | op2(h4(e10), h4(e11)) != h4(op1(e10, e11)) 61.66/62.14 | op2(h4(e10), h4(e10)) != h4(op1(e10, e10))), 61.66/62.14 inference('demod', [status(thm)], 61.66/62.14 ['2341', '2342', '2343', '2344', '2345', '2346', '2347', 61.66/62.14 '2348', '2349', '2350', '2351', '2352', '2353', '2354', 61.66/62.14 '2355', '2356'])). 61.66/62.14 tff('2358', plain, 61.66/62.14 (op2(h4(e10), h4(e10)) != h4(op1(e10, e10)) 61.66/62.14 | op2(h4(e10), h4(e11)) != h4(op1(e10, e11)) 61.66/62.14 | h4(op1(e10, e13)) != op2(h4(e10), h4(e13)) 61.66/62.14 | h4(op1(e12, e10)) != op2(e23, h4(e10)) 61.66/62.14 | op2(h4(e13), h4(e10)) != h4(op1(e13, e10)) 61.66/62.14 | op2(h4(e13), h4(e13)) != h4(op1(e13, e13)) 61.66/62.14 | h4(e11) != e21 61.66/62.14 | e22 != h4(e13) 61.66/62.14 | h4(e10) != e20 61.66/62.14 | op2(h4(e13), e23) != h4(op1(e13, e12)) 61.66/62.14 | h4(op1(e13, e11)) != op2(h4(e13), h4(e11)) 61.66/62.14 | op2(e23, h4(e13)) != h4(op1(e12, e13)) 61.66/62.14 | op2(h4(e11), h4(e13)) != h4(op1(e11, e13)) 61.66/62.14 | h4(op1(e11, e12)) != op2(h4(e11), e23) 61.66/62.14 | op2(h4(e11), h4(e10)) != h4(op1(e11, e10)) 61.66/62.14 | h4(op1(e10, e12)) != op2(h4(e10), e23)), 61.66/62.14 inference('simplify', [status(thm)], ['2357'])). 61.66/62.14 tff('2359', plain, 61.66/62.14 ~ (h4(op1(e10, e12)) = op2(h4(e10), e23)) | 61.66/62.14 ~ (op2(e23, h4(e13)) = h4(op1(e12, e13))) | ~ (e21 = h4(e11)) | 61.66/62.14 ~ (op2(h4(e13), e23) = h4(op1(e13, e12))) | 61.66/62.14 ~ (h4(op1(e10, e13)) = op2(h4(e10), h4(e13))) | 61.66/62.14 ~ (h4(op1(e11, e12)) = op2(h4(e11), e23)) | ~ (e22 = h4(e13)) | 61.66/62.14 ~ (h4(e10) = e20) | ~ (op2(h4(e11), h4(e10)) = h4(op1(e11, e10))) | 61.66/62.14 ~ (op2(h4(e10), h4(e11)) = h4(op1(e10, e11))) | 61.66/62.14 ~ (op2(h4(e13), h4(e13)) = h4(op1(e13, e13))) | 61.66/62.14 ~ (op2(h4(e13), h4(e10)) = h4(op1(e13, e10))) | 61.66/62.14 ~ (op2(h4(e11), h4(e13)) = h4(op1(e11, e13))) | 61.66/62.14 ~ (h4(op1(e12, e10)) = op2(e23, h4(e10))) | 61.66/62.14 ~ (op2(h4(e10), h4(e10)) = h4(op1(e10, e10))) | 61.66/62.14 ~ (h4(op1(e13, e11)) = op2(h4(e13), h4(e11))), 61.66/62.14 inference('split', [status(esa)], ['2358'])). 61.66/62.14 tff('2360', plain, (h1(e11) = e23) <= ((op2(e20, e20) = e23)), 61.66/62.14 inference('s_sup+', [status(thm)], ['989', '990'])). 61.66/62.14 tff('2361', plain, (h4(e10) = e20) <= ((e21 = h4(e11))), 61.66/62.14 inference('s_sup+', [status(thm)], ['592', '593'])). 61.66/62.14 tff('2362', plain, (op1(e10, e10) = e12) <= ((e12 = op1(e10, e10))), 61.66/62.14 inference('split', [status(esa)], ['230'])). 61.66/62.14 tff('2363', plain, 61.66/62.14 (op2(h4(e10), h4(e10)) != h4(op1(e10, e10))) 61.66/62.14 <= (~ (op2(h4(e10), h4(e10)) = h4(op1(e10, e10)))), 61.66/62.14 inference('split', [status(esa)], ['90'])). 61.66/62.14 tff('2364', plain, 61.66/62.14 (op2(h4(e10), h4(e10)) != h4(e12)) 61.66/62.14 <= (~ (op2(h4(e10), h4(e10)) = h4(op1(e10, e10))) & 61.66/62.14 (e12 = op1(e10, e10))), 61.66/62.14 inference('s_sup-', [status(thm)], ['2362', '2363'])). 61.66/62.14 tff('2365', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.14 tff('2366', plain, 61.66/62.14 (op2(h4(e10), h4(e10)) != e23) 61.66/62.14 <= (~ (op2(h4(e10), h4(e10)) = h4(op1(e10, e10))) & 61.66/62.14 (e12 = op1(e10, e10))), 61.66/62.14 inference('demod', [status(thm)], ['2364', '2365'])). 61.66/62.14 tff('2367', plain, 61.66/62.14 (op2(e20, e20) != e23) 61.66/62.14 <= (~ (op2(h4(e10), h4(e10)) = h4(op1(e10, e10))) & 61.66/62.14 (e12 = op1(e10, e10)) & 61.66/62.14 (e21 = h4(e11))), 61.66/62.14 inference('s_sup-', [status(thm)], ['2361', '2366'])). 61.66/62.14 tff('2368', plain, h1(e11) = op2(e20, e20), 61.66/62.14 inference('cnf', [status(esa)], [ax14])). 61.66/62.14 tff('2369', plain, 61.66/62.14 (h1(e11) != e23) 61.66/62.14 <= (~ (op2(h4(e10), h4(e10)) = h4(op1(e10, e10))) & 61.66/62.14 (e12 = op1(e10, e10)) & 61.66/62.14 (e21 = h4(e11))), 61.66/62.14 inference('demod', [status(thm)], ['2367', '2368'])). 61.66/62.14 tff('2370', plain, 61.66/62.14 (e23 != e23) 61.66/62.14 <= (~ (op2(h4(e10), h4(e10)) = h4(op1(e10, e10))) & 61.66/62.14 (e12 = op1(e10, e10)) & 61.66/62.14 (e21 = h4(e11)) & 61.66/62.14 (op2(e20, e20) = e23)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2360', '2369'])). 61.66/62.14 tff('2371', plain, 61.66/62.14 (op2(h4(e10), h4(e10)) = h4(op1(e10, e10))) | ~ (e12 = op1(e10, e10)) | 61.66/62.14 ~ (op2(e20, e20) = e23) | ~ (e21 = h4(e11)), 61.66/62.14 inference('simplify', [status(thm)], ['2370'])). 61.66/62.14 tff('2372', plain, (op2(e23, e20) = e20) <= ((op2(e23, e20) = e20)), 61.66/62.14 inference('split', [status(esa)], ['294'])). 61.66/62.14 tff('2373', plain, (h4(e10) = e20) <= ((e21 = h4(e11))), 61.66/62.14 inference('s_sup+', [status(thm)], ['592', '593'])). 61.66/62.14 tff('2374', plain, (e10 = op1(e12, e10)) <= ((e10 = op1(e12, e10))), 61.66/62.14 inference('split', [status(esa)], ['889'])). 61.66/62.14 tff('2375', plain, 61.66/62.14 (h4(op1(e12, e10)) != op2(e23, h4(e10))) 61.66/62.14 <= (~ (h4(op1(e12, e10)) = op2(e23, h4(e10)))), 61.66/62.14 inference('split', [status(esa)], ['90'])). 61.66/62.14 tff('2376', plain, 61.66/62.14 (h4(e10) != op2(e23, h4(e10))) 61.66/62.14 <= (~ (h4(op1(e12, e10)) = op2(e23, h4(e10))) & (e10 = op1(e12, e10))), 61.66/62.14 inference('s_sup-', [status(thm)], ['2374', '2375'])). 61.66/62.14 tff('2377', plain, 61.66/62.14 (e20 != op2(e23, e20)) 61.66/62.14 <= (~ (h4(op1(e12, e10)) = op2(e23, h4(e10))) & 61.66/62.14 (e21 = h4(e11)) & 61.66/62.14 (e10 = op1(e12, e10))), 61.66/62.14 inference('s_sup-', [status(thm)], ['2373', '2376'])). 61.66/62.14 tff('2378', plain, 61.66/62.14 (e20 != e20) 61.66/62.14 <= (~ (h4(op1(e12, e10)) = op2(e23, h4(e10))) & 61.66/62.14 (op2(e23, e20) = e20) & 61.66/62.14 (e21 = h4(e11)) & 61.66/62.14 (e10 = op1(e12, e10))), 61.66/62.14 inference('s_sup-', [status(thm)], ['2372', '2377'])). 61.66/62.14 tff('2379', plain, 61.66/62.14 (h4(op1(e12, e10)) = op2(e23, h4(e10))) | ~ (e10 = op1(e12, e10)) | 61.66/62.14 ~ (op2(e23, e20) = e20) | ~ (e21 = h4(e11)), 61.66/62.14 inference('simplify', [status(thm)], ['2378'])). 61.66/62.14 tff('2380', plain, (op2(e20, e22) = e20) <= ((op2(e20, e22) = e20)), 61.66/62.14 inference('split', [status(esa)], ['60'])). 61.66/62.14 tff('2381', plain, 61.66/62.14 (h4(e13) = e22) <= ((e21 = h4(e11)) & (op2(e23, e21) = e22)), 61.66/62.14 inference('s_sup+', [status(thm)], ['585', '586'])). 61.66/62.14 tff('2382', plain, (op1(e10, e13) = e10) <= ((op1(e10, e13) = e10)), 61.66/62.14 inference('split', [status(esa)], ['1670'])). 61.66/62.14 tff('2383', plain, 61.66/62.14 (h4(op1(e10, e13)) != op2(h4(e10), h4(e13))) 61.66/62.14 <= (~ (h4(op1(e10, e13)) = op2(h4(e10), h4(e13)))), 61.66/62.14 inference('split', [status(esa)], ['90'])). 61.66/62.14 tff('2384', plain, 61.66/62.14 (h4(e10) != op2(h4(e10), h4(e13))) 61.66/62.14 <= (~ (h4(op1(e10, e13)) = op2(h4(e10), h4(e13))) & 61.66/62.14 (op1(e10, e13) = e10)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2382', '2383'])). 61.66/62.14 tff('2385', plain, 61.66/62.14 (h4(e10) != op2(h4(e10), e22)) 61.66/62.14 <= (~ (h4(op1(e10, e13)) = op2(h4(e10), h4(e13))) & 61.66/62.14 (op1(e10, e13) = e10) & 61.66/62.14 (e21 = h4(e11)) & 61.66/62.14 (op2(e23, e21) = e22)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2381', '2384'])). 61.66/62.14 tff('2386', plain, (h4(e10) = e20) <= ((e21 = h4(e11))), 61.66/62.14 inference('s_sup+', [status(thm)], ['592', '593'])). 61.66/62.14 tff('2387', plain, (h4(e10) = e20) <= ((e21 = h4(e11))), 61.66/62.14 inference('s_sup+', [status(thm)], ['592', '593'])). 61.66/62.14 tff('2388', plain, 61.66/62.14 (e20 != op2(e20, e22)) 61.66/62.14 <= (~ (h4(op1(e10, e13)) = op2(h4(e10), h4(e13))) & 61.66/62.14 (op1(e10, e13) = e10) & 61.66/62.14 (e21 = h4(e11)) & 61.66/62.14 (op2(e23, e21) = e22)), 61.66/62.14 inference('demod', [status(thm)], ['2385', '2386', '2387'])). 61.66/62.14 tff('2389', plain, 61.66/62.14 (e20 != e20) 61.66/62.14 <= (~ (h4(op1(e10, e13)) = op2(h4(e10), h4(e13))) & 61.66/62.14 (op1(e10, e13) = e10) & 61.66/62.14 (op2(e20, e22) = e20) & 61.66/62.14 (e21 = h4(e11)) & 61.66/62.14 (op2(e23, e21) = e22)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2380', '2388'])). 61.66/62.14 tff('2390', plain, 61.66/62.14 (h4(op1(e10, e13)) = op2(h4(e10), h4(e13))) | ~ (op1(e10, e13) = e10) | 61.66/62.14 ~ (op2(e20, e22) = e20) | ~ (e21 = h4(e11)) | ~ (op2(e23, e21) = e22), 61.66/62.14 inference('simplify', [status(thm)], ['2389'])). 61.66/62.14 tff('2391', plain, 61.66/62.14 (e22 = op2(e20, e20) 61.66/62.14 | e23 = op2(e20, e20) 61.66/62.14 | e21 = op2(e20, e20) 61.66/62.14 | op2(e20, e20) = e20), 61.66/62.14 inference('cnf', [status(esa)], [ax3])). 61.66/62.14 tff('2392', plain, h1(e11) = op2(e20, e20), 61.66/62.14 inference('cnf', [status(esa)], [ax14])). 61.66/62.14 tff('2393', plain, h1(e11) = op2(e20, e20), 61.66/62.14 inference('cnf', [status(esa)], [ax14])). 61.66/62.14 tff('2394', plain, h1(e11) = op2(e20, e20), 61.66/62.14 inference('cnf', [status(esa)], [ax14])). 61.66/62.14 tff('2395', plain, 61.66/62.14 (e22 = h1(e11) | e23 = op2(e20, e20) | e21 = h1(e11) | h1(e11) = e20), 61.66/62.14 inference('demod', [status(thm)], ['2391', '2392', '2393', '2394'])). 61.66/62.14 tff('2396', plain, 61.66/62.14 (op2(e20, e20) = e23) | (e20 = h1(e11)) | (e21 = h1(e11)) | 61.66/62.14 (h1(e11) = e22), inference('split', [status(esa)], ['2395'])). 61.66/62.14 tff('2397', plain, 61.66/62.14 (op2(e23, e20) = e20) | (e20 = h1(e11)) | (op2(e21, e20) = e20) | 61.66/62.14 (e20 = op2(e22, e20)), inference('split', [status(esa)], ['294'])). 61.66/62.14 tff('2398', plain, (op2(e21, e20) = e20) <= ((op2(e21, e20) = e20)), 61.66/62.14 inference('split', [status(esa)], ['294'])). 61.66/62.14 tff('2399', plain, op2(e21, e20) = h2(e13), 61.66/62.14 inference('demod', [status(thm)], ['149', '155'])). 61.66/62.14 tff('2400', plain, (e20 = h2(e13)) <= ((op2(e21, e20) = e20)), 61.66/62.14 inference('s_sup+', [status(thm)], ['2398', '2399'])). 61.66/62.14 tff('2401', plain, op2(e21, e20) != op2(e21, e21), 61.66/62.14 inference('cnf', [status(esa)], [ax6])). 61.66/62.14 tff('2402', plain, op2(e21, e21) = h2(e11), 61.66/62.14 inference('cnf', [status(esa)], [ax15])). 61.66/62.14 tff('2403', plain, op2(e21, e20) != h2(e11), 61.66/62.14 inference('demod', [status(thm)], ['2401', '2402'])). 61.66/62.14 tff('2404', plain, e20 = h2(e11), 61.66/62.14 inference('s_sup+', [status(thm)], ['153', '154'])). 61.66/62.14 tff('2405', plain, op2(e21, e20) != e20, 61.66/62.14 inference('demod', [status(thm)], ['2403', '2404'])). 61.66/62.14 tff('2406', plain, op2(e21, e20) = h2(e13), 61.66/62.14 inference('demod', [status(thm)], ['149', '155'])). 61.66/62.14 tff('2407', plain, h2(e13) != e20, 61.66/62.14 inference('demod', [status(thm)], ['2405', '2406'])). 61.66/62.14 tff('2408', plain, (e20 != e20) <= ((op2(e21, e20) = e20)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2400', '2407'])). 61.66/62.14 tff('2409', plain, ~ (op2(e21, e20) = e20), 61.66/62.14 inference('simplify', [status(thm)], ['2408'])). 61.66/62.14 tff('2410', plain, (op2(e21, e22) = e22) <= ((op2(e21, e22) = e22)), 61.66/62.14 inference('split', [status(esa)], ['241'])). 61.66/62.14 tff('2411', plain, 61.66/62.14 (h4(e13) = e22) <= ((e21 = h4(e11)) & (op2(e23, e21) = e22)), 61.66/62.14 inference('s_sup+', [status(thm)], ['585', '586'])). 61.66/62.14 tff('2412', plain, 61.66/62.14 (op2(h4(e11), h4(e13)) != h4(e13)) 61.66/62.14 <= (~ (op2(h4(e11), h4(e13)) = h4(op1(e11, e13))) & 61.66/62.14 (op1(e11, e13) = e13)), 61.66/62.14 inference('s_sup-', [status(thm)], ['364', '365'])). 61.66/62.14 tff('2413', plain, 61.66/62.14 (op2(h4(e11), e22) != e22) 61.66/62.14 <= (~ (op2(h4(e11), h4(e13)) = h4(op1(e11, e13))) & 61.66/62.14 (e21 = h4(e11)) & 61.66/62.14 (op2(e23, e21) = e22) & 61.66/62.14 (op1(e11, e13) = e13)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2411', '2412'])). 61.66/62.14 tff('2414', plain, (h4(e11) = e21) <= ((e21 = h4(e11))), 61.66/62.14 inference('split', [status(esa)], ['110'])). 61.66/62.14 tff('2415', plain, 61.66/62.14 (op2(e21, e22) != e22) 61.66/62.14 <= (~ (op2(h4(e11), h4(e13)) = h4(op1(e11, e13))) & 61.66/62.14 (e21 = h4(e11)) & 61.66/62.14 (op2(e23, e21) = e22) & 61.66/62.14 (op1(e11, e13) = e13)), 61.66/62.14 inference('demod', [status(thm)], ['2413', '2414'])). 61.66/62.14 tff('2416', plain, 61.66/62.14 (e22 != e22) 61.66/62.14 <= (~ (op2(h4(e11), h4(e13)) = h4(op1(e11, e13))) & 61.66/62.14 (op2(e21, e22) = e22) & 61.66/62.14 (e21 = h4(e11)) & 61.66/62.14 (op2(e23, e21) = e22) & 61.66/62.14 (op1(e11, e13) = e13)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2410', '2415'])). 61.66/62.14 tff('2417', plain, 61.66/62.14 (op2(h4(e11), h4(e13)) = h4(op1(e11, e13))) | ~ (op1(e11, e13) = e13) | 61.66/62.14 ~ (e21 = h4(e11)) | ~ (op2(e21, e22) = e22) | ~ (op2(e23, e21) = e22), 61.66/62.14 inference('simplify', [status(thm)], ['2416'])). 61.66/62.14 tff('2418', plain, 61.66/62.14 (e23 = op2(e20, e21) 61.66/62.14 | e23 = op2(e23, e21) 61.66/62.14 | e23 = op2(e22, e21) 61.66/62.14 | op2(e21, e21) = e23), 61.66/62.14 inference('cnf', [status(esa)], [ax4])). 61.66/62.14 tff('2419', plain, op2(e21, e21) = h2(e11), 61.66/62.14 inference('cnf', [status(esa)], [ax15])). 61.66/62.14 tff('2420', plain, 61.66/62.14 (e23 = op2(e20, e21) 61.66/62.14 | e23 = op2(e23, e21) 61.66/62.14 | e23 = op2(e22, e21) 61.66/62.14 | h2(e11) = e23), 61.66/62.14 inference('demod', [status(thm)], ['2418', '2419'])). 61.66/62.14 tff('2421', plain, (e23 = op2(e23, e21)) <= ((e23 = op2(e23, e21))), 61.66/62.14 inference('split', [status(esa)], ['2420'])). 61.66/62.14 tff('2422', plain, op2(e23, e21) != op2(e22, e21), 61.66/62.14 inference('cnf', [status(esa)], [ax6])). 61.66/62.14 tff('2423', plain, op2(e22, e21) = h3(e13), 61.66/62.14 inference('demod', [status(thm)], ['456', '457'])). 61.66/62.14 tff('2424', plain, op2(e23, e21) != h3(e13), 61.66/62.14 inference('demod', [status(thm)], ['2422', '2423'])). 61.66/62.14 tff('2425', plain, e23 = h3(e13), 61.66/62.14 inference('s_sup+', [status(thm)], ['453', '458'])). 61.66/62.14 tff('2426', plain, op2(e23, e21) != e23, 61.66/62.14 inference('demod', [status(thm)], ['2424', '2425'])). 61.66/62.14 tff('2427', plain, (e23 != e23) <= ((e23 = op2(e23, e21))), 61.66/62.14 inference('s_sup-', [status(thm)], ['2421', '2426'])). 61.66/62.14 tff('2428', plain, ~ (e23 = op2(e23, e21)), 61.66/62.14 inference('simplify', [status(thm)], ['2427'])). 61.66/62.14 tff('2429', plain, (e23 = op2(e23, e21) | ~ zip_tseitin_40), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_67])). 61.66/62.14 tff('2430', plain, ~ ( zip_tseitin_40) | (e23 = op2(e23, e21)), 61.66/62.14 inference('split', [status(esa)], ['2429'])). 61.66/62.14 tff('2431', plain, (op2(e23, e23) = e23 | ~ zip_tseitin_39), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_69])). 61.66/62.14 tff('2432', plain, ~ ( zip_tseitin_39) | (e23 = op2(e23, e23)), 61.66/62.14 inference('split', [status(esa)], ['2431'])). 61.66/62.14 tff('2433', plain, (e22 = op2(e22, e20)) <= ((e22 = op2(e22, e20))), 61.66/62.14 inference('split', [status(esa)], ['212'])). 61.66/62.14 tff('2434', plain, 61.66/62.14 (h4(e13) = e22) <= ((op2(e23, e23) = e21) & (op2(e23, e21) = e22)), 61.66/62.14 inference('s_sup+', [status(thm)], ['626', '627'])). 61.66/62.14 tff('2435', plain, (op1(e13, e10) = e13) <= ((op1(e13, e10) = e13)), 61.66/62.14 inference('split', [status(esa)], ['767'])). 61.66/62.14 tff('2436', plain, 61.66/62.14 (op2(h4(e13), h4(e10)) != h4(op1(e13, e10))) 61.66/62.14 <= (~ (op2(h4(e13), h4(e10)) = h4(op1(e13, e10)))), 61.66/62.14 inference('split', [status(esa)], ['90'])). 61.66/62.14 tff('2437', plain, 61.66/62.14 (op2(h4(e13), h4(e10)) != h4(e13)) 61.66/62.14 <= (~ (op2(h4(e13), h4(e10)) = h4(op1(e13, e10))) & 61.66/62.14 (op1(e13, e10) = e13)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2435', '2436'])). 61.66/62.14 tff('2438', plain, 61.66/62.14 (op2(e22, h4(e10)) != e22) 61.66/62.14 <= (~ (op2(h4(e13), h4(e10)) = h4(op1(e13, e10))) & 61.66/62.14 (op1(e13, e10) = e13) & 61.66/62.14 (op2(e23, e23) = e21) & 61.66/62.14 (op2(e23, e21) = e22)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2434', '2437'])). 61.66/62.14 tff('2439', plain, (h4(e10) = e20) <= ((op2(e23, e23) = e21)), 61.66/62.14 inference('s_sup+', [status(thm)], ['633', '634'])). 61.66/62.14 tff('2440', plain, 61.66/62.14 (op2(e22, e20) != e22) 61.66/62.14 <= (~ (op2(h4(e13), h4(e10)) = h4(op1(e13, e10))) & 61.66/62.14 (op1(e13, e10) = e13) & 61.66/62.14 (op2(e23, e23) = e21) & 61.66/62.14 (op2(e23, e21) = e22)), 61.66/62.14 inference('demod', [status(thm)], ['2438', '2439'])). 61.66/62.14 tff('2441', plain, 61.66/62.14 (e22 != e22) 61.66/62.14 <= (~ (op2(h4(e13), h4(e10)) = h4(op1(e13, e10))) & 61.66/62.14 (op1(e13, e10) = e13) & 61.66/62.14 (e22 = op2(e22, e20)) & 61.66/62.14 (op2(e23, e23) = e21) & 61.66/62.14 (op2(e23, e21) = e22)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2433', '2440'])). 61.66/62.14 tff('2442', plain, 61.66/62.14 (op2(h4(e13), h4(e10)) = h4(op1(e13, e10))) | ~ (op1(e13, e10) = e13) | 61.66/62.14 ~ (e22 = op2(e22, e20)) | ~ (op2(e23, e23) = e21) | 61.66/62.14 ~ (op2(e23, e21) = e22), inference('simplify', [status(thm)], ['2441'])). 61.66/62.14 tff('2443', plain, (op2(e20, e21) = e21) <= ((op2(e20, e21) = e21)), 61.66/62.14 inference('split', [status(esa)], ['356'])). 61.66/62.14 tff('2444', plain, (h4(e10) = e20) <= ((op2(e23, e23) = e21)), 61.66/62.14 inference('s_sup+', [status(thm)], ['633', '634'])). 61.66/62.14 tff('2445', plain, 61.66/62.14 (op2(h4(e10), h4(e11)) != h4(e11)) 61.66/62.14 <= (~ (op2(h4(e10), h4(e11)) = h4(op1(e10, e11))) & 61.66/62.14 (e11 = op1(e10, e11))), 61.66/62.14 inference('s_sup-', [status(thm)], ['298', '299'])). 61.66/62.14 tff('2446', plain, 61.66/62.14 (op2(e20, h4(e11)) != h4(e11)) 61.66/62.14 <= (~ (op2(h4(e10), h4(e11)) = h4(op1(e10, e11))) & 61.66/62.14 (e11 = op1(e10, e11)) & 61.66/62.14 (op2(e23, e23) = e21)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2444', '2445'])). 61.66/62.14 tff('2447', plain, (e21 = h4(e11)) <= ((op2(e23, e23) = e21)), 61.66/62.14 inference('s_sup+', [status(thm)], ['622', '623'])). 61.66/62.14 tff('2448', plain, (e21 = h4(e11)) <= ((op2(e23, e23) = e21)), 61.66/62.14 inference('s_sup+', [status(thm)], ['622', '623'])). 61.66/62.14 tff('2449', plain, 61.66/62.14 (op2(e20, e21) != e21) 61.66/62.14 <= (~ (op2(h4(e10), h4(e11)) = h4(op1(e10, e11))) & 61.66/62.14 (e11 = op1(e10, e11)) & 61.66/62.14 (op2(e23, e23) = e21)), 61.66/62.14 inference('demod', [status(thm)], ['2446', '2447', '2448'])). 61.66/62.14 tff('2450', plain, 61.66/62.14 (e21 != e21) 61.66/62.14 <= (~ (op2(h4(e10), h4(e11)) = h4(op1(e10, e11))) & 61.66/62.14 (e11 = op1(e10, e11)) & 61.66/62.14 (op2(e20, e21) = e21) & 61.66/62.14 (op2(e23, e23) = e21)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2443', '2449'])). 61.66/62.14 tff('2451', plain, 61.66/62.14 (op2(h4(e10), h4(e11)) = h4(op1(e10, e11))) | ~ (e11 = op1(e10, e11)) | 61.66/62.14 ~ (op2(e23, e23) = e21) | ~ (op2(e20, e21) = e21), 61.66/62.14 inference('simplify', [status(thm)], ['2450'])). 61.66/62.14 tff('2452', plain, (e21 = h2(e13)) <= ((e21 = op2(e21, e20))), 61.66/62.14 inference('s_sup+', [status(thm)], ['691', '692'])). 61.66/62.14 tff('2453', plain, (e21 = h4(e11)) <= ((op2(e23, e23) = e21)), 61.66/62.14 inference('s_sup+', [status(thm)], ['622', '623'])). 61.66/62.14 tff('2454', plain, 61.66/62.14 (op2(h4(e11), h4(e10)) != h4(e11)) 61.66/62.14 <= (~ (op2(h4(e11), h4(e10)) = h4(op1(e11, e10))) & 61.66/62.14 (op1(e11, e10) = e11)), 61.66/62.14 inference('s_sup-', [status(thm)], ['68', '91'])). 61.66/62.14 tff('2455', plain, 61.66/62.14 (op2(e21, h4(e10)) != e21) 61.66/62.14 <= (~ (op2(h4(e11), h4(e10)) = h4(op1(e11, e10))) & 61.66/62.14 (op1(e11, e10) = e11) & 61.66/62.14 (op2(e23, e23) = e21)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2453', '2454'])). 61.66/62.14 tff('2456', plain, (h4(e10) = e20) <= ((op2(e23, e23) = e21)), 61.66/62.14 inference('s_sup+', [status(thm)], ['633', '634'])). 61.66/62.14 tff('2457', plain, op2(e21, e20) = h2(e13), 61.66/62.14 inference('demod', [status(thm)], ['149', '155'])). 61.66/62.14 tff('2458', plain, 61.66/62.14 (h2(e13) != e21) 61.66/62.14 <= (~ (op2(h4(e11), h4(e10)) = h4(op1(e11, e10))) & 61.66/62.14 (op1(e11, e10) = e11) & 61.66/62.14 (op2(e23, e23) = e21)), 61.66/62.14 inference('demod', [status(thm)], ['2455', '2456', '2457'])). 61.66/62.14 tff('2459', plain, 61.66/62.14 (e21 != e21) 61.66/62.14 <= (~ (op2(h4(e11), h4(e10)) = h4(op1(e11, e10))) & 61.66/62.14 (op1(e11, e10) = e11) & 61.66/62.14 (e21 = op2(e21, e20)) & 61.66/62.14 (op2(e23, e23) = e21)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2452', '2458'])). 61.66/62.14 tff('2460', plain, 61.66/62.14 (op2(h4(e11), h4(e10)) = h4(op1(e11, e10))) | ~ (e21 = op2(e21, e20)) | 61.66/62.14 ~ (op1(e11, e10) = e11) | ~ (op2(e23, e23) = e21), 61.66/62.14 inference('simplify', [status(thm)], ['2459'])). 61.66/62.14 tff('2461', plain, 61.66/62.14 (h4(e13) = e22) <= ((op2(e23, e23) = e21) & (op2(e23, e21) = e22)), 61.66/62.14 inference('s_sup+', [status(thm)], ['626', '627'])). 61.66/62.14 tff('2462', plain, 61.66/62.14 (op2(h4(e13), h4(e13)) != h4(e11)) 61.66/62.14 <= (~ (op2(h4(e13), h4(e13)) = h4(op1(e13, e13))) & 61.66/62.14 (op1(e13, e13) = e11)), 61.66/62.14 inference('s_sup-', [status(thm)], ['373', '391'])). 61.66/62.14 tff('2463', plain, 61.66/62.14 (op2(e22, e22) != h4(e11)) 61.66/62.14 <= (~ (op2(h4(e13), h4(e13)) = h4(op1(e13, e13))) & 61.66/62.14 (op2(e23, e23) = e21) & 61.66/62.14 (op2(e23, e21) = e22) & 61.66/62.14 (op1(e13, e13) = e11)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2461', '2462'])). 61.66/62.14 tff('2464', plain, e21 = op2(e22, e22), 61.66/62.14 inference('cnf', [status(esa)], [ax13])). 61.66/62.14 tff('2465', plain, (e21 = h4(e11)) <= ((op2(e23, e23) = e21)), 61.66/62.14 inference('s_sup+', [status(thm)], ['622', '623'])). 61.66/62.14 tff('2466', plain, 61.66/62.14 (e21 != e21) 61.66/62.14 <= (~ (op2(h4(e13), h4(e13)) = h4(op1(e13, e13))) & 61.66/62.14 (op2(e23, e23) = e21) & 61.66/62.14 (op2(e23, e21) = e22) & 61.66/62.14 (op1(e13, e13) = e11)), 61.66/62.14 inference('demod', [status(thm)], ['2463', '2464', '2465'])). 61.66/62.14 tff('2467', plain, 61.66/62.14 (op2(h4(e13), h4(e13)) = h4(op1(e13, e13))) | ~ (op1(e13, e13) = e11) | 61.66/62.14 ~ (op2(e23, e23) = e21) | ~ (op2(e23, e21) = e22), 61.66/62.14 inference('simplify', [status(thm)], ['2466'])). 61.66/62.14 tff('2468', plain, 61.66/62.14 (h4(e13) = e22) <= ((op2(e23, e23) = e21) & (op2(e23, e21) = e22)), 61.66/62.14 inference('s_sup+', [status(thm)], ['626', '627'])). 61.66/62.14 tff('2469', plain, 61.66/62.14 (e23 != op2(h4(e13), h4(e11))) 61.66/62.14 <= (~ (h4(op1(e13, e11)) = op2(h4(e13), h4(e11))) & 61.66/62.14 (op1(e13, e11) = e12)), 61.66/62.14 inference('demod', [status(thm)], ['178', '179'])). 61.66/62.14 tff('2470', plain, 61.66/62.14 (e23 != op2(e22, h4(e11))) 61.66/62.14 <= (~ (h4(op1(e13, e11)) = op2(h4(e13), h4(e11))) & 61.66/62.14 (op2(e23, e23) = e21) & 61.66/62.14 (op2(e23, e21) = e22) & 61.66/62.14 (op1(e13, e11) = e12)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2468', '2469'])). 61.66/62.14 tff('2471', plain, (e21 = h4(e11)) <= ((op2(e23, e23) = e21)), 61.66/62.14 inference('s_sup+', [status(thm)], ['622', '623'])). 61.66/62.14 tff('2472', plain, op2(e22, e21) = e23, 61.66/62.14 inference('demod', [status(thm)], ['264', '267'])). 61.66/62.14 tff('2473', plain, 61.66/62.14 (e23 != e23) 61.66/62.14 <= (~ (h4(op1(e13, e11)) = op2(h4(e13), h4(e11))) & 61.66/62.14 (op2(e23, e23) = e21) & 61.66/62.14 (op2(e23, e21) = e22) & 61.66/62.14 (op1(e13, e11) = e12)), 61.66/62.14 inference('demod', [status(thm)], ['2470', '2471', '2472'])). 61.66/62.14 tff('2474', plain, 61.66/62.14 (h4(op1(e13, e11)) = op2(h4(e13), h4(e11))) | ~ (op1(e13, e11) = e12) | 61.66/62.14 ~ (op2(e23, e23) = e21) | ~ (op2(e23, e21) = e22), 61.66/62.14 inference('simplify', [status(thm)], ['2473'])). 61.66/62.14 tff('2475', plain, 61.66/62.14 (h4(e13) = e22) <= ((op2(e23, e23) = e21) & (op2(e23, e21) = e22)), 61.66/62.14 inference('s_sup+', [status(thm)], ['626', '627'])). 61.66/62.14 tff('2476', plain, (e22 = op2(e20, e23)) <= ((e22 = op2(e20, e23))), 61.66/62.14 inference('split', [status(esa)], ['526'])). 61.66/62.14 tff('2477', plain, (h4(e10) = e20) <= ((op2(e23, e23) = e21)), 61.66/62.14 inference('s_sup+', [status(thm)], ['633', '634'])). 61.66/62.14 tff('2478', plain, (op1(e10, e12) = e13) <= ((op1(e10, e12) = e13)), 61.66/62.14 inference('split', [status(esa)], ['1564'])). 61.66/62.14 tff('2479', plain, 61.66/62.14 (h4(op1(e10, e12)) != op2(h4(e10), e23)) 61.66/62.14 <= (~ (h4(op1(e10, e12)) = op2(h4(e10), e23))), 61.66/62.14 inference('split', [status(esa)], ['90'])). 61.66/62.14 tff('2480', plain, 61.66/62.14 (h4(e13) != op2(h4(e10), e23)) 61.66/62.14 <= (~ (h4(op1(e10, e12)) = op2(h4(e10), e23)) & (op1(e10, e12) = e13)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2478', '2479'])). 61.66/62.14 tff('2481', plain, 61.66/62.14 (h4(e13) != op2(e20, e23)) 61.66/62.14 <= (~ (h4(op1(e10, e12)) = op2(h4(e10), e23)) & 61.66/62.14 (op2(e23, e23) = e21) & 61.66/62.14 (op1(e10, e12) = e13)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2477', '2480'])). 61.66/62.14 tff('2482', plain, 61.66/62.14 (h4(e13) != e22) 61.66/62.14 <= (~ (h4(op1(e10, e12)) = op2(h4(e10), e23)) & 61.66/62.14 (op2(e23, e23) = e21) & 61.66/62.14 (e22 = op2(e20, e23)) & 61.66/62.14 (op1(e10, e12) = e13)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2476', '2481'])). 61.66/62.14 tff('2483', plain, 61.66/62.14 (e22 != e22) 61.66/62.14 <= (~ (h4(op1(e10, e12)) = op2(h4(e10), e23)) & 61.66/62.14 (op2(e23, e23) = e21) & 61.66/62.14 (op2(e23, e21) = e22) & 61.66/62.14 (e22 = op2(e20, e23)) & 61.66/62.14 (op1(e10, e12) = e13)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2475', '2482'])). 61.66/62.14 tff('2484', plain, 61.66/62.14 ~ (op1(e10, e12) = e13) | (h4(op1(e10, e12)) = op2(h4(e10), e23)) | 61.66/62.14 ~ (e22 = op2(e20, e23)) | ~ (op2(e23, e23) = e21) | 61.66/62.14 ~ (op2(e23, e21) = e22), inference('simplify', [status(thm)], ['2483'])). 61.66/62.14 tff('2485', plain, (op2(e22, e23) = e20) <= ((op2(e22, e23) = e20)), 61.66/62.14 inference('split', [status(esa)], ['63'])). 61.66/62.14 tff('2486', plain, 61.66/62.14 (h4(e13) = e22) <= ((op2(e23, e23) = e21) & (op2(e23, e21) = e22)), 61.66/62.14 inference('s_sup+', [status(thm)], ['626', '627'])). 61.66/62.14 tff('2487', plain, (op1(e13, e12) = e10) <= ((op1(e13, e12) = e10)), 61.66/62.14 inference('split', [status(esa)], ['320'])). 61.66/62.14 tff('2488', plain, 61.66/62.14 (op2(h4(e13), e23) != h4(op1(e13, e12))) 61.66/62.14 <= (~ (op2(h4(e13), e23) = h4(op1(e13, e12)))), 61.66/62.14 inference('split', [status(esa)], ['90'])). 61.66/62.14 tff('2489', plain, 61.66/62.14 (op2(h4(e13), e23) != h4(e10)) 61.66/62.14 <= (~ (op2(h4(e13), e23) = h4(op1(e13, e12))) & (op1(e13, e12) = e10)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2487', '2488'])). 61.66/62.14 tff('2490', plain, 61.66/62.14 (op2(e22, e23) != h4(e10)) 61.66/62.14 <= (~ (op2(h4(e13), e23) = h4(op1(e13, e12))) & 61.66/62.14 (op2(e23, e23) = e21) & 61.66/62.14 (op2(e23, e21) = e22) & 61.66/62.14 (op1(e13, e12) = e10)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2486', '2489'])). 61.66/62.14 tff('2491', plain, (h4(e10) = e20) <= ((op2(e23, e23) = e21)), 61.66/62.14 inference('s_sup+', [status(thm)], ['633', '634'])). 61.66/62.14 tff('2492', plain, 61.66/62.14 (op2(e22, e23) != e20) 61.66/62.14 <= (~ (op2(h4(e13), e23) = h4(op1(e13, e12))) & 61.66/62.14 (op2(e23, e23) = e21) & 61.66/62.14 (op2(e23, e21) = e22) & 61.66/62.14 (op1(e13, e12) = e10)), 61.66/62.14 inference('demod', [status(thm)], ['2490', '2491'])). 61.66/62.14 tff('2493', plain, 61.66/62.14 (e20 != e20) 61.66/62.14 <= (~ (op2(h4(e13), e23) = h4(op1(e13, e12))) & 61.66/62.14 (op2(e22, e23) = e20) & 61.66/62.14 (op2(e23, e23) = e21) & 61.66/62.14 (op2(e23, e21) = e22) & 61.66/62.14 (op1(e13, e12) = e10)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2485', '2492'])). 61.66/62.14 tff('2494', plain, 61.66/62.14 ~ (op1(e13, e12) = e10) | (op2(h4(e13), e23) = h4(op1(e13, e12))) | 61.66/62.14 ~ (op2(e22, e23) = e20) | ~ (op2(e23, e23) = e21) | 61.66/62.14 ~ (op2(e23, e21) = e22), inference('simplify', [status(thm)], ['2493'])). 61.66/62.14 tff('2495', plain, 61.66/62.14 (h4(e13) = e22) <= ((op2(e23, e23) = e21) & (op2(e23, e21) = e22)), 61.66/62.14 inference('s_sup+', [status(thm)], ['626', '627'])). 61.66/62.14 tff('2496', plain, (e22 != h4(e13)) <= (~ (e22 = h4(e13))), 61.66/62.14 inference('split', [status(esa)], ['90'])). 61.66/62.14 tff('2497', plain, 61.66/62.14 (e22 != e22) 61.66/62.14 <= (~ (e22 = h4(e13)) & (op2(e23, e23) = e21) & (op2(e23, e21) = e22)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2495', '2496'])). 61.66/62.14 tff('2498', plain, 61.66/62.14 (e22 = h4(e13)) | ~ (op2(e23, e21) = e22) | ~ (op2(e23, e23) = e21), 61.66/62.14 inference('simplify', [status(thm)], ['2497'])). 61.66/62.14 tff('2499', plain, (op2(e21, e23) = e23) <= ((op2(e21, e23) = e23)), 61.66/62.14 inference('split', [status(esa)], ['684'])). 61.66/62.14 tff('2500', plain, (e21 = h4(e11)) <= ((op2(e23, e23) = e21)), 61.66/62.14 inference('s_sup+', [status(thm)], ['622', '623'])). 61.66/62.14 tff('2501', plain, (op1(e11, e12) = e12) <= ((op1(e11, e12) = e12)), 61.66/62.14 inference('split', [status(esa)], ['112'])). 61.66/62.14 tff('2502', plain, 61.66/62.14 (h4(op1(e11, e12)) != op2(h4(e11), e23)) 61.66/62.14 <= (~ (h4(op1(e11, e12)) = op2(h4(e11), e23))), 61.66/62.14 inference('split', [status(esa)], ['90'])). 61.66/62.14 tff('2503', plain, 61.66/62.14 (h4(e12) != op2(h4(e11), e23)) 61.66/62.14 <= (~ (h4(op1(e11, e12)) = op2(h4(e11), e23)) & (op1(e11, e12) = e12)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2501', '2502'])). 61.66/62.14 tff('2504', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.14 tff('2505', plain, 61.66/62.14 (e23 != op2(h4(e11), e23)) 61.66/62.14 <= (~ (h4(op1(e11, e12)) = op2(h4(e11), e23)) & (op1(e11, e12) = e12)), 61.66/62.14 inference('demod', [status(thm)], ['2503', '2504'])). 61.66/62.14 tff('2506', plain, 61.66/62.14 (e23 != op2(e21, e23)) 61.66/62.14 <= (~ (h4(op1(e11, e12)) = op2(h4(e11), e23)) & 61.66/62.14 (op2(e23, e23) = e21) & 61.66/62.14 (op1(e11, e12) = e12)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2500', '2505'])). 61.66/62.14 tff('2507', plain, 61.66/62.14 (e23 != e23) 61.66/62.14 <= (~ (h4(op1(e11, e12)) = op2(h4(e11), e23)) & 61.66/62.14 (op2(e21, e23) = e23) & 61.66/62.14 (op2(e23, e23) = e21) & 61.66/62.14 (op1(e11, e12) = e12)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2499', '2506'])). 61.66/62.14 tff('2508', plain, 61.66/62.14 (h4(op1(e11, e12)) = op2(h4(e11), e23)) | ~ (op1(e11, e12) = e12) | 61.66/62.14 ~ (op2(e21, e23) = e23) | ~ (op2(e23, e23) = e21), 61.66/62.14 inference('simplify', [status(thm)], ['2507'])). 61.66/62.14 tff('2509', plain, (h4(e10) = e20) <= ((op2(e23, e23) = e21)), 61.66/62.14 inference('s_sup+', [status(thm)], ['633', '634'])). 61.66/62.14 tff('2510', plain, (h4(e10) != e20) <= (~ (h4(e10) = e20)), 61.66/62.14 inference('split', [status(esa)], ['90'])). 61.66/62.14 tff('2511', plain, 61.66/62.14 (e20 != e20) <= (~ (h4(e10) = e20) & (op2(e23, e23) = e21)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2509', '2510'])). 61.66/62.14 tff('2512', plain, (h4(e10) = e20) | ~ (op2(e23, e23) = e21), 61.66/62.14 inference('simplify', [status(thm)], ['2511'])). 61.66/62.14 tff('2513', plain, 61.66/62.14 (e21 = h4(e11)) | (h4(e11) = e20) | (e23 = op2(e23, e23)) | 61.66/62.14 (e22 = h4(e11)), inference('split', [status(esa)], ['110'])). 61.66/62.14 tff('2514', plain, 61.66/62.14 (op2(e21, e22) = e23 61.66/62.14 | op2(e21, e22) = e22 61.66/62.14 | e21 = op2(e21, e22) 61.66/62.14 | op2(e21, e22) = e20), 61.66/62.14 inference('cnf', [status(esa)], [ax3])). 61.66/62.14 tff('2515', plain, op2(e21, e22) != e21, 61.66/62.14 inference('demod', [status(thm)], ['310', '311'])). 61.66/62.14 tff('2516', plain, 61.66/62.14 (op2(e21, e22) = e23 | op2(e21, e22) = e22 | op2(e21, e22) = e20), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2514', '2515'])). 61.66/62.14 tff('2517', plain, 61.66/62.14 (op2(e21, e22) = e22) | (e23 = op2(e21, e22)) | (op2(e21, e22) = e20), 61.66/62.14 inference('split', [status(esa)], ['2516'])). 61.66/62.14 tff('2518', plain, (op2(e21, e22) = e20) <= ((op2(e21, e22) = e20)), 61.66/62.14 inference('split', [status(esa)], ['60'])). 61.66/62.14 tff('2519', plain, op2(e21, e22) != op2(e21, e21), 61.66/62.14 inference('cnf', [status(esa)], [ax6])). 61.66/62.14 tff('2520', plain, op2(e21, e21) = h2(e11), 61.66/62.14 inference('cnf', [status(esa)], [ax15])). 61.66/62.14 tff('2521', plain, op2(e21, e22) != h2(e11), 61.66/62.14 inference('demod', [status(thm)], ['2519', '2520'])). 61.66/62.14 tff('2522', plain, e20 = h2(e11), 61.66/62.14 inference('s_sup+', [status(thm)], ['153', '154'])). 61.66/62.14 tff('2523', plain, op2(e21, e22) != e20, 61.66/62.14 inference('demod', [status(thm)], ['2521', '2522'])). 61.66/62.14 tff('2524', plain, ~ (op2(e21, e22) = e20), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2518', '2523'])). 61.66/62.14 tff('2525', plain, (op2(e21, e23) = e21 | ~ zip_tseitin_44), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_18])). 61.66/62.14 tff('2526', plain, ~ ( zip_tseitin_44) | (op2(e21, e23) = e21), 61.66/62.14 inference('split', [status(esa)], ['2525'])). 61.66/62.14 tff('2527', plain, (e21 = h1(e11)) <= ((e21 = h1(e11))), 61.66/62.14 inference('split', [status(esa)], ['356'])). 61.66/62.14 tff('2528', plain, h1(e13) = op2(e20, h1(e11)), 61.66/62.14 inference('demod', [status(thm)], ['52', '53'])). 61.66/62.14 tff('2529', plain, (h1(e13) = op2(e20, e21)) <= ((e21 = h1(e11))), 61.66/62.14 inference('s_sup+', [status(thm)], ['2527', '2528'])). 61.66/62.14 tff('2530', plain, (op2(e20, e21) = e21) <= ((op2(e20, e21) = e21)), 61.66/62.14 inference('split', [status(esa)], ['356'])). 61.66/62.14 tff('2531', plain, 61.66/62.14 (h1(e13) = e21) <= ((op2(e20, e21) = e21) & (e21 = h1(e11))), 61.66/62.14 inference('s_sup+', [status(thm)], ['2529', '2530'])). 61.66/62.14 tff('2532', plain, (h1(e13) = op2(e20, e21)) <= ((e21 = h1(e11))), 61.66/62.14 inference('s_sup+', [status(thm)], ['2527', '2528'])). 61.66/62.14 tff('2533', plain, h1(e11) != op2(e20, e21), 61.66/62.14 inference('demod', [status(thm)], ['2163', '2164'])). 61.66/62.14 tff('2534', plain, (h1(e11) != h1(e13)) <= ((e21 = h1(e11))), 61.66/62.14 inference('s_sup-', [status(thm)], ['2532', '2533'])). 61.66/62.14 tff('2535', plain, (e21 = h1(e11)) <= ((e21 = h1(e11))), 61.66/62.14 inference('split', [status(esa)], ['356'])). 61.66/62.14 tff('2536', plain, (e21 != h1(e13)) <= ((e21 = h1(e11))), 61.66/62.14 inference('demod', [status(thm)], ['2534', '2535'])). 61.66/62.14 tff('2537', plain, ~ (e21 = h1(e11)) | ~ (op2(e20, e21) = e21), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2531', '2536'])). 61.66/62.14 tff('2538', plain, (e20 = h4(e11)) <= ((h4(e11) = e20)), 61.66/62.14 inference('split', [status(esa)], ['110'])). 61.66/62.14 tff('2539', plain, (e20 != h4(e11)) <= ((op2(e22, e23) = e20)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2310', '2311'])). 61.66/62.14 tff('2540', plain, (e20 != e20) <= ((op2(e22, e23) = e20) & (h4(e11) = e20)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2538', '2539'])). 61.66/62.14 tff('2541', plain, ~ (h4(e11) = e20) | ~ (op2(e22, e23) = e20), 61.66/62.14 inference('simplify', [status(thm)], ['2540'])). 61.66/62.14 tff('2542', plain, (e23 = op2(e21, e22)) <= ((e23 = op2(e21, e22))), 61.66/62.14 inference('split', [status(esa)], ['684'])). 61.66/62.14 tff('2543', plain, (op2(e21, e23) = e23) <= ((op2(e21, e23) = e23)), 61.66/62.14 inference('split', [status(esa)], ['684'])). 61.66/62.14 tff('2544', plain, op2(e21, e23) != op2(e21, e22), 61.66/62.14 inference('cnf', [status(esa)], [ax6])). 61.66/62.14 tff('2545', plain, (e23 != op2(e21, e22)) <= ((op2(e21, e23) = e23)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2543', '2544'])). 61.66/62.14 tff('2546', plain, 61.66/62.14 (e23 != e23) <= ((op2(e21, e23) = e23) & (e23 = op2(e21, e22))), 61.66/62.14 inference('s_sup-', [status(thm)], ['2542', '2545'])). 61.66/62.14 tff('2547', plain, ~ (e23 = op2(e21, e22)) | ~ (op2(e21, e23) = e23), 61.66/62.14 inference('simplify', [status(thm)], ['2546'])). 61.66/62.14 tff('2548', plain, 61.66/62.14 (op2(e20, e21) = e22 61.66/62.14 | op2(e20, e21) = e23 61.66/62.14 | op2(e20, e21) = e21 61.66/62.14 | e20 = op2(e20, e21)), 61.66/62.14 inference('cnf', [status(esa)], [ax3])). 61.66/62.14 tff('2549', plain, 61.66/62.14 (op2(e20, e21) = e21) | (op2(e20, e21) = e22) | (e20 = op2(e20, e21)) | 61.66/62.14 (e23 = op2(e20, e21)), inference('split', [status(esa)], ['2548'])). 61.66/62.14 tff('2550', plain, (e23 = op2(e20, e21)) <= ((e23 = op2(e20, e21))), 61.66/62.14 inference('split', [status(esa)], ['2420'])). 61.66/62.14 tff('2551', plain, op2(e20, e21) != op2(e22, e21), 61.66/62.14 inference('cnf', [status(esa)], [ax6])). 61.66/62.14 tff('2552', plain, op2(e22, e21) = h3(e13), 61.66/62.14 inference('demod', [status(thm)], ['456', '457'])). 61.66/62.14 tff('2553', plain, op2(e20, e21) != h3(e13), 61.66/62.14 inference('demod', [status(thm)], ['2551', '2552'])). 61.66/62.14 tff('2554', plain, e23 = h3(e13), 61.66/62.14 inference('s_sup+', [status(thm)], ['453', '458'])). 61.66/62.14 tff('2555', plain, op2(e20, e21) != e23, 61.66/62.14 inference('demod', [status(thm)], ['2553', '2554'])). 61.66/62.14 tff('2556', plain, (e23 != e23) <= ((e23 = op2(e20, e21))), 61.66/62.14 inference('s_sup-', [status(thm)], ['2550', '2555'])). 61.66/62.14 tff('2557', plain, ~ (e23 = op2(e20, e21)), 61.66/62.14 inference('simplify', [status(thm)], ['2556'])). 61.66/62.14 tff('2558', plain, 61.66/62.14 (op2(e23, e21) = e22) | (op2(e20, e21) = e22) | (h2(e11) = e22) | 61.66/62.14 (op2(e22, e21) = e22), inference('split', [status(esa)], ['1799'])). 61.66/62.14 tff('2559', plain, 61.66/62.14 (e23 = op2(e22, e23) 61.66/62.14 | op2(e22, e23) = e22 61.66/62.14 | e21 = op2(e22, e23) 61.66/62.14 | op2(e22, e23) = e20), 61.66/62.14 inference('cnf', [status(esa)], [ax3])). 61.66/62.14 tff('2560', plain, 61.66/62.14 (op2(e22, e23) = e20) | (op2(e22, e23) = e22) | (e23 = op2(e22, e23)) | 61.66/62.14 (e21 = op2(e22, e23)), inference('split', [status(esa)], ['2559'])). 61.66/62.14 tff('2561', plain, (e21 = op2(e22, e23)) <= ((e21 = op2(e22, e23))), 61.66/62.14 inference('split', [status(esa)], ['2264'])). 61.66/62.14 tff('2562', plain, op2(e22, e23) != e21, 61.66/62.14 inference('demod', [status(thm)], ['618', '619'])). 61.66/62.14 tff('2563', plain, ~ (e21 = op2(e22, e23)), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2561', '2562'])). 61.66/62.14 tff('2564', plain, (op2(e22, e23) = e22 | ~ zip_tseitin_36), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_17])). 61.66/62.14 tff('2565', plain, ~ ( zip_tseitin_36) | (op2(e22, e23) = e22), 61.66/62.14 inference('split', [status(esa)], ['2564'])). 61.66/62.14 tff('2566', plain, (op2(e20, e23) = e20 | ~ zip_tseitin_34), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_13])). 61.66/62.14 tff('2567', plain, ~ ( zip_tseitin_34) | (op2(e20, e23) = e20), 61.66/62.14 inference('split', [status(esa)], ['2566'])). 61.66/62.14 tff('2568', plain, 61.66/62.14 (op2(e21, e23) = e23) | (e23 = op2(e20, e23)) | (e23 = op2(e22, e23)) | 61.66/62.14 (e23 = op2(e23, e23)), inference('split', [status(esa)], ['104'])). 61.66/62.14 tff('2569', plain, (op2(e20, e23) = e21) <= ((op2(e20, e23) = e21)), 61.66/62.14 inference('split', [status(esa)], ['356'])). 61.66/62.14 tff('2570', plain, (e23 = op2(e20, e23)) <= ((e23 = op2(e20, e23))), 61.66/62.14 inference('split', [status(esa)], ['104'])). 61.66/62.14 tff('2571', plain, 61.66/62.14 (e23 = e21) <= ((op2(e20, e23) = e21) & (e23 = op2(e20, e23))), 61.66/62.14 inference('s_sup+', [status(thm)], ['2569', '2570'])). 61.66/62.14 tff('2572', plain, e23 != e21, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2573', plain, ~ (op2(e20, e23) = e21) | ~ (e23 = op2(e20, e23)), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2571', '2572'])). 61.66/62.14 tff('2574', plain, 61.66/62.14 (op2(e21, e20) != e21 | e20 != op2(e21, e21) | ~ zip_tseitin_40), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_67])). 61.66/62.14 tff('2575', plain, op2(e21, e21) = h2(e11), 61.66/62.14 inference('cnf', [status(esa)], [ax15])). 61.66/62.14 tff('2576', plain, 61.66/62.14 (op2(e21, e20) != e21 | e20 != h2(e11) | ~ zip_tseitin_40), 61.66/62.14 inference('demod', [status(thm)], ['2574', '2575'])). 61.66/62.14 tff('2577', plain, 61.66/62.14 ~ ( zip_tseitin_40) | ~ (e21 = op2(e21, e20)) | ~ (h2(e11) = e20), 61.66/62.14 inference('split', [status(esa)], ['2576'])). 61.66/62.14 tff('2578', plain, e20 = h2(e11), 61.66/62.14 inference('s_sup+', [status(thm)], ['153', '154'])). 61.66/62.14 tff('2579', plain, (e20 != h2(e11)) <= (~ (h2(e11) = e20)), 61.66/62.14 inference('split', [status(esa)], ['2576'])). 61.66/62.14 tff('2580', plain, (e20 != e20) <= (~ (h2(e11) = e20)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2578', '2579'])). 61.66/62.14 tff('2581', plain, (h2(e11) = e20), 61.66/62.14 inference('simplify', [status(thm)], ['2580'])). 61.66/62.14 tff('2582', plain, 61.66/62.14 (e21 = op2(e21, e20)) | (op2(e21, e23) = e21) | (h2(e11) = e21), 61.66/62.14 inference('split', [status(esa)], ['313'])). 61.66/62.14 tff('2583', plain, (h2(e11) = e21) <= ((h2(e11) = e21)), 61.66/62.14 inference('split', [status(esa)], ['313'])). 61.66/62.14 tff('2584', plain, e20 = h2(e11), 61.66/62.14 inference('s_sup+', [status(thm)], ['153', '154'])). 61.66/62.14 tff('2585', plain, (e20 = e21) <= ((h2(e11) = e21)), 61.66/62.14 inference('s_sup+', [status(thm)], ['2583', '2584'])). 61.66/62.14 tff('2586', plain, e21 != e20, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2587', plain, ~ (h2(e11) = e21), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2585', '2586'])). 61.66/62.14 tff('2588', plain, 61.66/62.14 (op2(e21, e22) = e22) | (op2(e20, e22) = e22) | (op2(e23, e22) = e22), 61.66/62.14 inference('split', [status(esa)], ['675'])). 61.66/62.14 tff('2589', plain, (op2(e23, e20) = e20) <= ((op2(e23, e20) = e20)), 61.66/62.14 inference('split', [status(esa)], ['294'])). 61.66/62.14 tff('2590', plain, (e23 = op2(e23, e20)) <= ((e23 = op2(e23, e20))), 61.66/62.14 inference('split', [status(esa)], ['145'])). 61.66/62.14 tff('2591', plain, 61.66/62.14 (e23 = e20) <= ((op2(e23, e20) = e20) & (e23 = op2(e23, e20))), 61.66/62.14 inference('s_sup+', [status(thm)], ['2589', '2590'])). 61.66/62.14 tff('2592', plain, e23 != e20, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2593', plain, ~ (e23 = op2(e23, e20)) | ~ (op2(e23, e20) = e20), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2591', '2592'])). 61.66/62.14 tff('2594', plain, 61.66/62.14 (e23 = h1(e11)) | (e23 = op2(e23, e20)) | (op2(e21, e20) = e23) | 61.66/62.14 (op2(e22, e20) = e23), inference('split', [status(esa)], ['145'])). 61.66/62.14 tff('2595', plain, 61.66/62.14 (e23 = op2(e21, e20) 61.66/62.14 | e23 = op2(e21, e21) 61.66/62.14 | e23 = op2(e21, e22) 61.66/62.14 | op2(e21, e23) = e23), 61.66/62.14 inference('cnf', [status(esa)], [ax4])). 61.66/62.14 tff('2596', plain, 61.66/62.14 (op2(e21, e23) = e23) | (e23 = op2(e21, e22)) | (op2(e21, e20) = e23) | 61.66/62.14 (op2(e21, e21) = e23), inference('split', [status(esa)], ['2595'])). 61.66/62.14 tff('2597', plain, op2(e21, e21) = e20, 61.66/62.14 inference('demod', [status(thm)], ['150', '151', '152'])). 61.66/62.14 tff('2598', plain, (op2(e21, e21) = e23) <= ((op2(e21, e21) = e23)), 61.66/62.14 inference('split', [status(esa)], ['1892'])). 61.66/62.14 tff('2599', plain, (e20 = e23) <= ((op2(e21, e21) = e23)), 61.66/62.14 inference('s_sup+', [status(thm)], ['2597', '2598'])). 61.66/62.14 tff('2600', plain, e23 != e20, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2601', plain, ~ (op2(e21, e21) = e23), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2599', '2600'])). 61.66/62.14 tff('2602', plain, (op2(e21, e20) = e23) <= ((op2(e21, e20) = e23)), 61.66/62.14 inference('split', [status(esa)], ['145'])). 61.66/62.14 tff('2603', plain, (op2(e21, e20) = e22) <= ((op2(e21, e20) = e22)), 61.66/62.14 inference('split', [status(esa)], ['241'])). 61.66/62.14 tff('2604', plain, 61.66/62.14 (e23 = e22) <= ((op2(e21, e20) = e23) & (op2(e21, e20) = e22)), 61.66/62.14 inference('s_sup+', [status(thm)], ['2602', '2603'])). 61.66/62.14 tff('2605', plain, e22 != e23, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2606', plain, ~ (op2(e21, e20) = e23) | ~ (op2(e21, e20) = e22), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2604', '2605'])). 61.66/62.14 tff('2607', plain, 61.66/62.14 (e20 = op2(e23, e21) 61.66/62.14 | op2(e23, e22) = e20 61.66/62.14 | op2(e23, e23) = e20 61.66/62.14 | op2(e23, e20) = e20), 61.66/62.14 inference('cnf', [status(esa)], [ax4])). 61.66/62.14 tff('2608', plain, 61.66/62.14 (op2(e23, e20) = e20) | (op2(e23, e22) = e20) | (op2(e23, e21) = e20) | 61.66/62.14 (e20 = op2(e23, e23)), inference('split', [status(esa)], ['2607'])). 61.66/62.14 tff('2609', plain, 61.66/62.14 (op2(e23, e21) = e20 61.66/62.14 | e20 = op2(e22, e21) 61.66/62.14 | op2(e21, e21) = e20 61.66/62.14 | e20 = op2(e20, e21)), 61.66/62.14 inference('cnf', [status(esa)], [ax4])). 61.66/62.14 tff('2610', plain, op2(e21, e21) = h2(e11), 61.66/62.14 inference('cnf', [status(esa)], [ax15])). 61.66/62.14 tff('2611', plain, 61.66/62.14 (op2(e23, e21) = e20 61.66/62.14 | e20 = op2(e22, e21) 61.66/62.14 | h2(e11) = e20 61.66/62.14 | e20 = op2(e20, e21)), 61.66/62.14 inference('demod', [status(thm)], ['2609', '2610'])). 61.66/62.14 tff('2612', plain, (op2(e23, e21) = e20) <= ((op2(e23, e21) = e20)), 61.66/62.14 inference('split', [status(esa)], ['2611'])). 61.66/62.14 tff('2613', plain, op2(e21, e21) != op2(e23, e21), 61.66/62.14 inference('cnf', [status(esa)], [ax6])). 61.66/62.14 tff('2614', plain, op2(e21, e21) = h2(e11), 61.66/62.14 inference('cnf', [status(esa)], [ax15])). 61.66/62.14 tff('2615', plain, h2(e11) != op2(e23, e21), 61.66/62.14 inference('demod', [status(thm)], ['2613', '2614'])). 61.66/62.14 tff('2616', plain, e20 = h2(e11), 61.66/62.14 inference('s_sup+', [status(thm)], ['153', '154'])). 61.66/62.14 tff('2617', plain, e20 != op2(e23, e21), 61.66/62.14 inference('demod', [status(thm)], ['2615', '2616'])). 61.66/62.14 tff('2618', plain, ~ (op2(e23, e21) = e20), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2612', '2617'])). 61.66/62.14 tff('2619', plain, 61.66/62.14 (op2(e23, e22) = e23) | (op2(e20, e22) = e23) | (e23 = op2(e21, e22)), 61.66/62.14 inference('split', [status(esa)], ['615'])). 61.66/62.14 tff('2620', plain, (op2(e23, e20) = e20) <= ((op2(e23, e20) = e20)), 61.66/62.14 inference('split', [status(esa)], ['294'])). 61.66/62.14 tff('2621', plain, (e22 = op2(e23, e20)) <= ((e22 = op2(e23, e20))), 61.66/62.14 inference('split', [status(esa)], ['272'])). 61.66/62.14 tff('2622', plain, 61.66/62.14 (e22 = e20) <= ((op2(e23, e20) = e20) & (e22 = op2(e23, e20))), 61.66/62.14 inference('s_sup+', [status(thm)], ['2620', '2621'])). 61.66/62.14 tff('2623', plain, e22 != e20, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2624', plain, ~ (e22 = op2(e23, e20)) | ~ (op2(e23, e20) = e20), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2622', '2623'])). 61.66/62.14 tff('2625', plain, 61.66/62.14 (e22 = op2(e22, e20)) | (h1(e11) = e22) | (e22 = op2(e23, e20)) | 61.66/62.14 (op2(e21, e20) = e22), inference('split', [status(esa)], ['50'])). 61.66/62.14 tff('2626', plain, (op2(e23, e22) = e20) <= ((op2(e23, e22) = e20)), 61.66/62.14 inference('split', [status(esa)], ['60'])). 61.66/62.14 tff('2627', plain, (e23 = op2(e23, e22)) <= ((op2(e23, e22) = e23)), 61.66/62.14 inference('split', [status(esa)], ['124'])). 61.66/62.14 tff('2628', plain, 61.66/62.14 (e23 = e20) <= ((op2(e23, e22) = e20) & (op2(e23, e22) = e23)), 61.66/62.14 inference('s_sup+', [status(thm)], ['2626', '2627'])). 61.66/62.14 tff('2629', plain, e23 != e20, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2630', plain, ~ (op2(e23, e22) = e20) | ~ (op2(e23, e22) = e23), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2628', '2629'])). 61.66/62.14 tff('2631', plain, (e21 = h1(e11)) <= ((e21 = h1(e11))), 61.66/62.14 inference('split', [status(esa)], ['356'])). 61.66/62.14 tff('2632', plain, (e23 = h1(e11)) <= ((e23 = h1(e11))), 61.66/62.14 inference('split', [status(esa)], ['145'])). 61.66/62.14 tff('2633', plain, (e23 = e21) <= ((e21 = h1(e11)) & (e23 = h1(e11))), 61.66/62.14 inference('s_sup+', [status(thm)], ['2631', '2632'])). 61.66/62.14 tff('2634', plain, e23 != e21, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2635', plain, ~ (e21 = h1(e11)) | ~ (e23 = h1(e11)), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2633', '2634'])). 61.66/62.14 tff('2636', plain, (e21 = h1(e11)) <= ((e21 = h1(e11))), 61.66/62.14 inference('split', [status(esa)], ['356'])). 61.66/62.14 tff('2637', plain, (e22 = h1(e11)) <= ((h1(e11) = e22)), 61.66/62.14 inference('split', [status(esa)], ['50'])). 61.66/62.14 tff('2638', plain, (e22 = e21) <= ((e21 = h1(e11)) & (h1(e11) = e22)), 61.66/62.14 inference('s_sup+', [status(thm)], ['2636', '2637'])). 61.66/62.14 tff('2639', plain, e21 != e22, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2640', plain, ~ (h1(e11) = e22) | ~ (e21 = h1(e11)), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2638', '2639'])). 61.66/62.14 tff('2641', plain, 61.66/62.14 (op2(e20, e21) = e21) | (e21 = h1(e11)) | (op2(e20, e23) = e21), 61.66/62.14 inference('split', [status(esa)], ['356'])). 61.66/62.14 tff('2642', plain, 61.66/62.14 (e23 = op2(e20, e21) 61.66/62.14 | e23 = op2(e20, e22) 61.66/62.14 | op2(e20, e23) = e23 61.66/62.14 | e23 = op2(e20, e20)), 61.66/62.14 inference('cnf', [status(esa)], [ax4])). 61.66/62.14 tff('2643', plain, h1(e11) = op2(e20, e20), 61.66/62.14 inference('cnf', [status(esa)], [ax14])). 61.66/62.14 tff('2644', plain, 61.66/62.14 (e23 = op2(e20, e21) 61.66/62.14 | e23 = op2(e20, e22) 61.66/62.14 | op2(e20, e23) = e23 61.66/62.14 | e23 = h1(e11)), 61.66/62.14 inference('demod', [status(thm)], ['2642', '2643'])). 61.66/62.14 tff('2645', plain, 61.66/62.14 (e23 = h1(e11)) | (op2(e20, e22) = e23) | (e23 = op2(e20, e21)) | 61.66/62.14 (e23 = op2(e20, e23)), inference('split', [status(esa)], ['2644'])). 61.66/62.14 tff('2646', plain, (op2(e20, e21) = e21) <= ((op2(e20, e21) = e21)), 61.66/62.14 inference('split', [status(esa)], ['356'])). 61.66/62.14 tff('2647', plain, (e23 = op2(e20, e21)) <= ((e23 = op2(e20, e21))), 61.66/62.14 inference('split', [status(esa)], ['2420'])). 61.66/62.14 tff('2648', plain, 61.66/62.14 (e23 = e21) <= ((op2(e20, e21) = e21) & (e23 = op2(e20, e21))), 61.66/62.14 inference('s_sup+', [status(thm)], ['2646', '2647'])). 61.66/62.14 tff('2649', plain, e23 != e21, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2650', plain, ~ (e23 = op2(e20, e21)) | ~ (op2(e20, e21) = e21), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2648', '2649'])). 61.66/62.14 tff('2651', plain, (e23 = h1(e11)) <= ((e23 = h1(e11))), 61.66/62.14 inference('split', [status(esa)], ['145'])). 61.66/62.14 tff('2652', plain, (e22 = h1(e11)) <= ((h1(e11) = e22)), 61.66/62.14 inference('split', [status(esa)], ['50'])). 61.66/62.14 tff('2653', plain, (e22 = e23) <= ((e23 = h1(e11)) & (h1(e11) = e22)), 61.66/62.14 inference('s_sup+', [status(thm)], ['2651', '2652'])). 61.66/62.14 tff('2654', plain, e22 != e23, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2655', plain, ~ (h1(e11) = e22) | ~ (e23 = h1(e11)), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2653', '2654'])). 61.66/62.14 tff('2656', plain, (op2(e20, e22) = e20) <= ((op2(e20, e22) = e20)), 61.66/62.14 inference('split', [status(esa)], ['60'])). 61.66/62.14 tff('2657', plain, (op2(e20, e22) = e23) <= ((op2(e20, e22) = e23)), 61.66/62.14 inference('split', [status(esa)], ['615'])). 61.66/62.14 tff('2658', plain, 61.66/62.14 (e20 = e23) <= ((op2(e20, e22) = e20) & (op2(e20, e22) = e23)), 61.66/62.14 inference('s_sup+', [status(thm)], ['2656', '2657'])). 61.66/62.14 tff('2659', plain, e23 != e20, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2660', plain, ~ (op2(e20, e22) = e23) | ~ (op2(e20, e22) = e20), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2658', '2659'])). 61.66/62.14 tff('2661', plain, (op2(e20, e22) = e20 | ~ zip_tseitin_33), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_79])). 61.66/62.14 tff('2662', plain, (op2(e20, e22) = e20) | ~ ( zip_tseitin_33), 61.66/62.14 inference('split', [status(esa)], ['2661'])). 61.66/62.14 tff('2663', plain, (op2(e22, e20) = e22 | ~ zip_tseitin_43), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_61])). 61.66/62.14 tff('2664', plain, ~ ( zip_tseitin_43) | (e22 = op2(e22, e20)), 61.66/62.14 inference('split', [status(esa)], ['2663'])). 61.66/62.14 tff('2665', plain, (e20 = op2(e20, e23)) <= ((op2(e20, e23) = e20)), 61.66/62.14 inference('split', [status(esa)], ['63'])). 61.66/62.14 tff('2666', plain, (e23 = op2(e20, e23)) <= ((e23 = op2(e20, e23))), 61.66/62.14 inference('split', [status(esa)], ['104'])). 61.66/62.14 tff('2667', plain, 61.66/62.14 (e23 = e20) <= ((op2(e20, e23) = e20) & (e23 = op2(e20, e23))), 61.66/62.14 inference('s_sup+', [status(thm)], ['2665', '2666'])). 61.66/62.14 tff('2668', plain, e23 != e20, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2669', plain, ~ (op2(e20, e23) = e20) | ~ (e23 = op2(e20, e23)), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2667', '2668'])). 61.66/62.14 tff('2670', plain, (e20 = op2(e22, e20)) <= ((e20 = op2(e22, e20))), 61.66/62.14 inference('split', [status(esa)], ['294'])). 61.66/62.14 tff('2671', plain, (op2(e22, e20) = e23) <= ((op2(e22, e20) = e23)), 61.66/62.14 inference('split', [status(esa)], ['145'])). 61.66/62.14 tff('2672', plain, 61.66/62.14 (e20 = e23) <= ((e20 = op2(e22, e20)) & (op2(e22, e20) = e23)), 61.66/62.14 inference('s_sup+', [status(thm)], ['2670', '2671'])). 61.66/62.14 tff('2673', plain, e23 != e20, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2674', plain, ~ (op2(e22, e20) = e23) | ~ (e20 = op2(e22, e20)), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2672', '2673'])). 61.66/62.14 tff('2675', plain, 61.66/62.14 (e22 = op2(e20, e23)) | (op2(e22, e23) = e22) | (op2(e21, e23) = e22) | 61.66/62.14 (e22 = op2(e23, e23)), inference('split', [status(esa)], ['526'])). 61.66/62.14 tff('2676', plain, (op2(e23, e22) = e20) <= ((op2(e23, e22) = e20)), 61.66/62.14 inference('split', [status(esa)], ['60'])). 61.66/62.14 tff('2677', plain, (op2(e23, e22) = e22) <= ((op2(e23, e22) = e22)), 61.66/62.14 inference('split', [status(esa)], ['272'])). 61.66/62.14 tff('2678', plain, 61.66/62.14 (e20 = e22) <= ((op2(e23, e22) = e20) & (op2(e23, e22) = e22)), 61.66/62.14 inference('s_sup+', [status(thm)], ['2676', '2677'])). 61.66/62.14 tff('2679', plain, e22 != e20, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2680', plain, ~ (op2(e23, e22) = e20) | ~ (op2(e23, e22) = e22), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2678', '2679'])). 61.66/62.14 tff('2681', plain, (op2(e20, e22) = e22 | ~ zip_tseitin_43), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_61])). 61.66/62.14 tff('2682', plain, ~ ( zip_tseitin_43) | (op2(e20, e22) = e22), 61.66/62.14 inference('split', [status(esa)], ['2681'])). 61.66/62.14 tff('2683', plain, 61.66/62.14 (e20 != op2(e20, e20) | e20 != op2(e20, e20) | ~ zip_tseitin_43), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_61])). 61.66/62.14 tff('2684', plain, (~ zip_tseitin_43 | e20 != op2(e20, e20)), 61.66/62.14 inference('simplify', [status(thm)], ['2683'])). 61.66/62.14 tff('2685', plain, h1(e11) = op2(e20, e20), 61.66/62.14 inference('cnf', [status(esa)], [ax14])). 61.66/62.14 tff('2686', plain, (~ zip_tseitin_43 | e20 != h1(e11)), 61.66/62.14 inference('demod', [status(thm)], ['2684', '2685'])). 61.66/62.14 tff('2687', plain, ~ ( zip_tseitin_43) | ~ (e20 = h1(e11)), 61.66/62.14 inference('split', [status(esa)], ['2686'])). 61.66/62.14 tff('2688', plain, 61.66/62.14 ( zip_tseitin_47 61.66/62.14 | zip_tseitin_46 61.66/62.14 | zip_tseitin_45 61.66/62.14 | zip_tseitin_44 61.66/62.14 | zip_tseitin_43 61.66/62.14 | zip_tseitin_42 61.66/62.14 | zip_tseitin_41 61.66/62.14 | zip_tseitin_40 61.66/62.14 | zip_tseitin_39 61.66/62.14 | zip_tseitin_38 61.66/62.14 | zip_tseitin_37 61.66/62.14 | zip_tseitin_36 61.66/62.14 | zip_tseitin_35 61.66/62.14 | zip_tseitin_34 61.66/62.14 | zip_tseitin_33 61.66/62.14 | zip_tseitin_32), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_81])). 61.66/62.14 tff('2689', plain, 61.66/62.14 ( zip_tseitin_46) | ( zip_tseitin_34) | ( zip_tseitin_38) | 61.66/62.14 ( zip_tseitin_35) | ( zip_tseitin_32) | ( zip_tseitin_37) | 61.66/62.14 ( zip_tseitin_44) | ( zip_tseitin_33) | ( zip_tseitin_40) | 61.66/62.14 ( zip_tseitin_41) | ( zip_tseitin_42) | ( zip_tseitin_36) | 61.66/62.14 ( zip_tseitin_43) | ( zip_tseitin_45) | ( zip_tseitin_39) | 61.66/62.14 ( zip_tseitin_47), inference('split', [status(esa)], ['2688'])). 61.66/62.14 tff('2690', plain, 61.66/62.14 (op2(e22, e20) = e20 61.66/62.14 | e20 = op2(e22, e21) 61.66/62.14 | op2(e22, e23) = e20 61.66/62.14 | e20 = op2(e22, e22)), 61.66/62.14 inference('cnf', [status(esa)], [ax4])). 61.66/62.14 tff('2691', plain, 61.66/62.14 (op2(e22, e23) = e20) | (e20 = op2(e22, e20)) | (e20 = op2(e22, e21)) | 61.66/62.14 (op2(e22, e22) = e20), inference('split', [status(esa)], ['2690'])). 61.66/62.14 tff('2692', plain, op2(e22, e21) = e23, 61.66/62.14 inference('demod', [status(thm)], ['264', '267'])). 61.66/62.14 tff('2693', plain, (e20 = op2(e22, e21)) <= ((e20 = op2(e22, e21))), 61.66/62.14 inference('split', [status(esa)], ['2611'])). 61.66/62.14 tff('2694', plain, (e20 = e23) <= ((e20 = op2(e22, e21))), 61.66/62.14 inference('s_sup+', [status(thm)], ['2692', '2693'])). 61.66/62.14 tff('2695', plain, e23 != e20, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2696', plain, ~ (e20 = op2(e22, e21)), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2694', '2695'])). 61.66/62.14 tff('2697', plain, e21 = op2(e22, e22), 61.66/62.14 inference('cnf', [status(esa)], [ax13])). 61.66/62.14 tff('2698', plain, (op2(e22, e22) = e20) <= ((op2(e22, e22) = e20)), 61.66/62.14 inference('split', [status(esa)], ['1896'])). 61.66/62.14 tff('2699', plain, (e21 = e20) <= ((op2(e22, e22) = e20)), 61.66/62.14 inference('s_sup+', [status(thm)], ['2697', '2698'])). 61.66/62.14 tff('2700', plain, e21 != e20, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2701', plain, ~ (op2(e22, e22) = e20), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2699', '2700'])). 61.66/62.14 tff('2702', plain, (op2(e22, e23) = e20) <= ((op2(e22, e23) = e20)), 61.66/62.14 inference('split', [status(esa)], ['63'])). 61.66/62.14 tff('2703', plain, (e23 = op2(e22, e23)) <= ((e23 = op2(e22, e23))), 61.66/62.14 inference('split', [status(esa)], ['104'])). 61.66/62.14 tff('2704', plain, 61.66/62.14 (e23 = e20) <= ((op2(e22, e23) = e20) & (e23 = op2(e22, e23))), 61.66/62.14 inference('s_sup+', [status(thm)], ['2702', '2703'])). 61.66/62.14 tff('2705', plain, e23 != e20, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2706', plain, ~ (e23 = op2(e22, e23)) | ~ (op2(e22, e23) = e20), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2704', '2705'])). 61.66/62.14 tff('2707', plain, (op2(e22, e23) = e22) <= ((op2(e22, e23) = e22)), 61.66/62.14 inference('split', [status(esa)], ['212'])). 61.66/62.14 tff('2708', plain, (e23 = op2(e22, e23)) <= ((e23 = op2(e22, e23))), 61.66/62.14 inference('split', [status(esa)], ['104'])). 61.66/62.14 tff('2709', plain, 61.66/62.14 (e23 = e22) <= ((op2(e22, e23) = e22) & (e23 = op2(e22, e23))), 61.66/62.14 inference('s_sup+', [status(thm)], ['2707', '2708'])). 61.66/62.14 tff('2710', plain, e22 != e23, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2711', plain, ~ (e23 = op2(e22, e23)) | ~ (op2(e22, e23) = e22), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2709', '2710'])). 61.66/62.14 tff('2712', plain, (e23 = op2(e22, e23) | ~ zip_tseitin_38), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_71])). 61.66/62.14 tff('2713', plain, ~ ( zip_tseitin_38) | (e23 = op2(e22, e23)), 61.66/62.14 inference('split', [status(esa)], ['2712'])). 61.66/62.14 tff('2714', plain, ( zip_tseitin_35) <= (( zip_tseitin_35)), 61.66/62.14 inference('split', [status(esa)], ['2688'])). 61.66/62.14 tff('2715', plain, (e21 = op2(e21, e22) | ~ zip_tseitin_35), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_76])). 61.66/62.14 tff('2716', plain, op2(e21, e22) != e21, 61.66/62.14 inference('demod', [status(thm)], ['310', '311'])). 61.66/62.14 tff('2717', plain, ~ zip_tseitin_35, 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2715', '2716'])). 61.66/62.14 tff('2718', plain, ~ ( zip_tseitin_35), 61.66/62.14 inference('s_sup-', [status(thm)], ['2714', '2717'])). 61.66/62.14 tff('2719', plain, ~ ( zip_tseitin_32) | (e20 = op2(e20, e20)), 61.66/62.14 inference('split', [status(esa)], ['1509'])). 61.66/62.14 tff('2720', plain, 61.66/62.14 (e20 != op2(e20, e20) | op2(e20, e20) != e20 | ~ zip_tseitin_32), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_16])). 61.66/62.14 tff('2721', plain, ~ ( zip_tseitin_32) | ~ (e20 = op2(e20, e20)), 61.66/62.14 inference('split', [status(esa)], ['2720'])). 61.66/62.14 tff('2722', plain, e21 = op2(e22, e22), 61.66/62.14 inference('cnf', [status(esa)], [ax13])). 61.66/62.14 tff('2723', plain, (e22 = op2(e22, e22) | ~ zip_tseitin_41), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_65])). 61.66/62.14 tff('2724', plain, (e22 = op2(e22, e22)) <= ((e22 = op2(e22, e22))), 61.66/62.14 inference('split', [status(esa)], ['2723'])). 61.66/62.14 tff('2725', plain, (e22 = e21) <= ((e22 = op2(e22, e22))), 61.66/62.14 inference('s_sup+', [status(thm)], ['2722', '2724'])). 61.66/62.14 tff('2726', plain, e21 != e22, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2727', plain, ~ (e22 = op2(e22, e22)), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2725', '2726'])). 61.66/62.14 tff('2728', plain, ~ ( zip_tseitin_41) | (e22 = op2(e22, e22)), 61.66/62.14 inference('split', [status(esa)], ['2723'])). 61.66/62.14 tff('2729', plain, (op2(e22, e21) = e22 | ~ zip_tseitin_42), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_63])). 61.66/62.14 tff('2730', plain, ~ ( zip_tseitin_42) | (op2(e22, e21) = e22), 61.66/62.14 inference('split', [status(esa)], ['2729'])). 61.66/62.14 tff('2731', plain, (e21 = op2(e21, e21) | ~ zip_tseitin_45), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_58])). 61.66/62.14 tff('2732', plain, ~ ( zip_tseitin_45) | (e21 = op2(e21, e21)), 61.66/62.14 inference('split', [status(esa)], ['2731'])). 61.66/62.14 tff('2733', plain, 61.66/62.14 (e21 != op2(e21, e21) | op2(e21, e21) != e21 | ~ zip_tseitin_45), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_58])). 61.66/62.14 tff('2734', plain, ~ ( zip_tseitin_45) | ~ (e21 = op2(e21, e21)), 61.66/62.14 inference('split', [status(esa)], ['2733'])). 61.66/62.14 tff('2735', plain, (op2(e20, e21) = e20 | ~ zip_tseitin_47), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_54])). 61.66/62.14 tff('2736', plain, ~ ( zip_tseitin_47) | (e20 = op2(e20, e21)), 61.66/62.14 inference('split', [status(esa)], ['2735'])). 61.66/62.14 tff('2737', plain, (e20 = op2(e22, e20) | ~ zip_tseitin_33), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_79])). 61.66/62.14 tff('2738', plain, ~ ( zip_tseitin_33) | (e20 = op2(e22, e20)), 61.66/62.14 inference('split', [status(esa)], ['2737'])). 61.66/62.14 tff('2739', plain, (e20 = op2(e22, e20)) <= ((e20 = op2(e22, e20))), 61.66/62.14 inference('split', [status(esa)], ['294'])). 61.66/62.14 tff('2740', plain, (e22 = op2(e22, e20)) <= ((e22 = op2(e22, e20))), 61.66/62.14 inference('split', [status(esa)], ['212'])). 61.66/62.14 tff('2741', plain, 61.66/62.14 (e22 = e20) <= ((e20 = op2(e22, e20)) & (e22 = op2(e22, e20))), 61.66/62.14 inference('s_sup+', [status(thm)], ['2739', '2740'])). 61.66/62.14 tff('2742', plain, e22 != e20, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2743', plain, ~ (e20 = op2(e22, e20)) | ~ (e22 = op2(e22, e20)), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2741', '2742'])). 61.66/62.14 tff('2744', plain, (op2(e21, e23) = e23 | ~ zip_tseitin_40), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_67])). 61.66/62.14 tff('2745', plain, ~ ( zip_tseitin_40) | (op2(e21, e23) = e23), 61.66/62.14 inference('split', [status(esa)], ['2744'])). 61.66/62.14 tff('2746', plain, 61.66/62.14 (e22 = op2(e22, e20)) | (op2(e22, e23) = e22) | (op2(e22, e21) = e22), 61.66/62.14 inference('split', [status(esa)], ['212'])). 61.66/62.14 tff('2747', plain, op2(e22, e21) = e23, 61.66/62.14 inference('demod', [status(thm)], ['264', '267'])). 61.66/62.14 tff('2748', plain, (op2(e22, e21) = e22) <= ((op2(e22, e21) = e22)), 61.66/62.14 inference('split', [status(esa)], ['212'])). 61.66/62.14 tff('2749', plain, (e23 = e22) <= ((op2(e22, e21) = e22)), 61.66/62.14 inference('s_sup+', [status(thm)], ['2747', '2748'])). 61.66/62.14 tff('2750', plain, e22 != e23, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2751', plain, ~ (op2(e22, e21) = e22), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2749', '2750'])). 61.66/62.14 tff('2752', plain, (op2(e22, e23) = e22) <= ((op2(e22, e23) = e22)), 61.66/62.14 inference('split', [status(esa)], ['212'])). 61.66/62.14 tff('2753', plain, (op2(e22, e23) = e20) <= ((op2(e22, e23) = e20)), 61.66/62.14 inference('split', [status(esa)], ['63'])). 61.66/62.14 tff('2754', plain, 61.66/62.14 (e22 = e20) <= ((op2(e22, e23) = e22) & (op2(e22, e23) = e20)), 61.66/62.14 inference('s_sup+', [status(thm)], ['2752', '2753'])). 61.66/62.14 tff('2755', plain, e22 != e20, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2756', plain, ~ (op2(e22, e23) = e22) | ~ (op2(e22, e23) = e20), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2754', '2755'])). 61.66/62.14 tff('2757', plain, 61.66/62.14 (op2(e22, e23) = e20) | (op2(e20, e23) = e20) | (op2(e21, e23) = e20) | 61.66/62.14 (e20 = op2(e23, e23)), inference('split', [status(esa)], ['63'])). 61.66/62.14 tff('2758', plain, (op2(e21, e23) = e20) <= ((op2(e21, e23) = e20)), 61.66/62.14 inference('split', [status(esa)], ['63'])). 61.66/62.14 tff('2759', plain, op2(e21, e23) != op2(e21, e21), 61.66/62.14 inference('cnf', [status(esa)], [ax6])). 61.66/62.14 tff('2760', plain, op2(e21, e21) = h2(e11), 61.66/62.14 inference('cnf', [status(esa)], [ax15])). 61.66/62.14 tff('2761', plain, op2(e21, e23) != h2(e11), 61.66/62.14 inference('demod', [status(thm)], ['2759', '2760'])). 61.66/62.14 tff('2762', plain, e20 = h2(e11), 61.66/62.14 inference('s_sup+', [status(thm)], ['153', '154'])). 61.66/62.14 tff('2763', plain, op2(e21, e23) != e20, 61.66/62.14 inference('demod', [status(thm)], ['2761', '2762'])). 61.66/62.14 tff('2764', plain, ~ (op2(e21, e23) = e20), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2758', '2763'])). 61.66/62.14 tff('2765', plain, (op2(e20, e23) = e21) <= ((op2(e20, e23) = e21)), 61.66/62.14 inference('split', [status(esa)], ['356'])). 61.66/62.14 tff('2766', plain, (e20 = op2(e20, e23)) <= ((op2(e20, e23) = e20)), 61.66/62.14 inference('split', [status(esa)], ['63'])). 61.66/62.14 tff('2767', plain, 61.66/62.14 (e20 = e21) <= ((op2(e20, e23) = e21) & (op2(e20, e23) = e20)), 61.66/62.14 inference('s_sup+', [status(thm)], ['2765', '2766'])). 61.66/62.14 tff('2768', plain, e21 != e20, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2769', plain, ~ (op2(e20, e23) = e21) | ~ (op2(e20, e23) = e20), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2767', '2768'])). 61.66/62.14 tff('2770', plain, 61.66/62.14 (op2(e23, e23) = e21) | (op2(e21, e23) = e21) | (op2(e20, e23) = e21), 61.66/62.14 inference('split', [status(esa)], ['621'])). 61.66/62.14 tff('2771', plain, 61.66/62.14 (op2(e21, e23) = e23) | (e23 = op2(e21, e22)) | (e23 = h2(e11)) | 61.66/62.14 (op2(e21, e20) = e23), inference('split', [status(esa)], ['684'])). 61.66/62.14 tff('2772', plain, (e23 = h2(e11)) <= ((e23 = h2(e11))), 61.66/62.14 inference('split', [status(esa)], ['684'])). 61.66/62.14 tff('2773', plain, e20 = h2(e11), 61.66/62.14 inference('s_sup+', [status(thm)], ['153', '154'])). 61.66/62.14 tff('2774', plain, (e20 = e23) <= ((e23 = h2(e11))), 61.66/62.14 inference('s_sup+', [status(thm)], ['2772', '2773'])). 61.66/62.14 tff('2775', plain, e23 != e20, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2776', plain, ~ (e23 = h2(e11)), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2774', '2775'])). 61.66/62.14 tff('2777', plain, 61.66/62.14 (op2(e21, e22) = e22) | (op2(e21, e20) = e22) | (h2(e11) = e22) | 61.66/62.14 (op2(e21, e23) = e22), inference('split', [status(esa)], ['241'])). 61.66/62.14 tff('2778', plain, (h2(e11) = e22) <= ((h2(e11) = e22)), 61.66/62.14 inference('split', [status(esa)], ['241'])). 61.66/62.14 tff('2779', plain, e20 = h2(e11), 61.66/62.14 inference('s_sup+', [status(thm)], ['153', '154'])). 61.66/62.14 tff('2780', plain, (e20 = e22) <= ((h2(e11) = e22)), 61.66/62.14 inference('s_sup+', [status(thm)], ['2778', '2779'])). 61.66/62.14 tff('2781', plain, e22 != e20, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2782', plain, ~ (h2(e11) = e22), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2780', '2781'])). 61.66/62.14 tff('2783', plain, (op2(e21, e23) = e21) <= ((op2(e21, e23) = e21)), 61.66/62.14 inference('split', [status(esa)], ['313'])). 61.66/62.14 tff('2784', plain, (op2(e21, e23) = e23) <= ((op2(e21, e23) = e23)), 61.66/62.14 inference('split', [status(esa)], ['684'])). 61.66/62.14 tff('2785', plain, 61.66/62.14 (e21 = e23) <= ((op2(e21, e23) = e21) & (op2(e21, e23) = e23)), 61.66/62.14 inference('s_sup+', [status(thm)], ['2783', '2784'])). 61.66/62.14 tff('2786', plain, e23 != e21, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2787', plain, ~ (op2(e21, e23) = e21) | ~ (op2(e21, e23) = e23), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2785', '2786'])). 61.66/62.14 tff('2788', plain, (op2(e21, e23) = e21) <= ((op2(e21, e23) = e21)), 61.66/62.14 inference('split', [status(esa)], ['313'])). 61.66/62.14 tff('2789', plain, (op2(e21, e23) = e22) <= ((op2(e21, e23) = e22)), 61.66/62.14 inference('split', [status(esa)], ['241'])). 61.66/62.14 tff('2790', plain, 61.66/62.14 (e21 = e22) <= ((op2(e21, e23) = e21) & (op2(e21, e23) = e22)), 61.66/62.14 inference('s_sup+', [status(thm)], ['2788', '2789'])). 61.66/62.14 tff('2791', plain, e21 != e22, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2792', plain, ~ (op2(e21, e23) = e22) | ~ (op2(e21, e23) = e21), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2790', '2791'])). 61.66/62.14 tff('2793', plain, (op2(e21, e22) = e22) <= ((op2(e21, e22) = e22)), 61.66/62.14 inference('split', [status(esa)], ['241'])). 61.66/62.14 tff('2794', plain, (e23 = op2(e21, e22)) <= ((e23 = op2(e21, e22))), 61.66/62.14 inference('split', [status(esa)], ['684'])). 61.66/62.14 tff('2795', plain, 61.66/62.14 (e23 = e22) <= ((op2(e21, e22) = e22) & (e23 = op2(e21, e22))), 61.66/62.14 inference('s_sup+', [status(thm)], ['2793', '2794'])). 61.66/62.14 tff('2796', plain, e22 != e23, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2797', plain, ~ (e23 = op2(e21, e22)) | ~ (op2(e21, e22) = e22), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2795', '2796'])). 61.66/62.14 tff('2798', plain, (op2(e21, e20) = e23) <= ((op2(e21, e20) = e23)), 61.66/62.14 inference('split', [status(esa)], ['145'])). 61.66/62.14 tff('2799', plain, (e21 = op2(e21, e20)) <= ((e21 = op2(e21, e20))), 61.66/62.14 inference('split', [status(esa)], ['313'])). 61.66/62.14 tff('2800', plain, 61.66/62.14 (e21 = e23) <= ((op2(e21, e20) = e23) & (e21 = op2(e21, e20))), 61.66/62.14 inference('s_sup+', [status(thm)], ['2798', '2799'])). 61.66/62.14 tff('2801', plain, e23 != e21, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2802', plain, ~ (op2(e21, e20) = e23) | ~ (e21 = op2(e21, e20)), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2800', '2801'])). 61.66/62.14 tff('2803', plain, (e21 = op2(e21, e20)) <= ((e21 = op2(e21, e20))), 61.66/62.14 inference('split', [status(esa)], ['313'])). 61.66/62.14 tff('2804', plain, (op2(e21, e20) = e22) <= ((op2(e21, e20) = e22)), 61.66/62.14 inference('split', [status(esa)], ['241'])). 61.66/62.14 tff('2805', plain, 61.66/62.14 (e21 = e22) <= ((e21 = op2(e21, e20)) & (op2(e21, e20) = e22)), 61.66/62.14 inference('s_sup+', [status(thm)], ['2803', '2804'])). 61.66/62.14 tff('2806', plain, e21 != e22, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2807', plain, ~ (op2(e21, e20) = e22) | ~ (e21 = op2(e21, e20)), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2805', '2806'])). 61.66/62.14 tff('2808', plain, (op2(e21, e20) = e21 | ~ zip_tseitin_46), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_56])). 61.66/62.14 tff('2809', plain, (e21 = op2(e21, e20)) | ~ ( zip_tseitin_46), 61.66/62.14 inference('split', [status(esa)], ['2808'])). 61.66/62.14 tff('2810', plain, 61.66/62.14 (e20 != op2(e20, e22) | op2(e20, e20) != e22 | ~ zip_tseitin_46), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_56])). 61.66/62.14 tff('2811', plain, h1(e11) = op2(e20, e20), 61.66/62.14 inference('cnf', [status(esa)], [ax14])). 61.66/62.14 tff('2812', plain, 61.66/62.14 (e20 != op2(e20, e22) | h1(e11) != e22 | ~ zip_tseitin_46), 61.66/62.14 inference('demod', [status(thm)], ['2810', '2811'])). 61.66/62.14 tff('2813', plain, 61.66/62.14 ~ (h1(e11) = e22) | ~ (op2(e20, e22) = e20) | ~ ( zip_tseitin_46), 61.66/62.14 inference('split', [status(esa)], ['2812'])). 61.66/62.14 tff('2814', plain, (op2(e20, e21) = e21) <= ((op2(e20, e21) = e21)), 61.66/62.14 inference('split', [status(esa)], ['356'])). 61.66/62.14 tff('2815', plain, (op2(e20, e21) = e22) <= ((op2(e20, e21) = e22)), 61.66/62.14 inference('split', [status(esa)], ['1799'])). 61.66/62.14 tff('2816', plain, 61.66/62.14 (e21 = e22) <= ((op2(e20, e21) = e21) & (op2(e20, e21) = e22)), 61.66/62.14 inference('s_sup+', [status(thm)], ['2814', '2815'])). 61.66/62.14 tff('2817', plain, e21 != e22, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2818', plain, ~ (op2(e20, e21) = e22) | ~ (op2(e20, e21) = e21), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2816', '2817'])). 61.66/62.14 tff('2819', plain, 61.66/62.14 (e20 = op2(e20, e20) 61.66/62.14 | op2(e20, e23) = e20 61.66/62.14 | op2(e20, e22) = e20 61.66/62.14 | e20 = op2(e20, e21)), 61.66/62.14 inference('cnf', [status(esa)], [ax4])). 61.66/62.14 tff('2820', plain, h1(e11) = op2(e20, e20), 61.66/62.14 inference('cnf', [status(esa)], [ax14])). 61.66/62.14 tff('2821', plain, 61.66/62.14 (e20 = h1(e11) 61.66/62.14 | op2(e20, e23) = e20 61.66/62.14 | op2(e20, e22) = e20 61.66/62.14 | e20 = op2(e20, e21)), 61.66/62.14 inference('demod', [status(thm)], ['2819', '2820'])). 61.66/62.14 tff('2822', plain, 61.66/62.14 (op2(e20, e22) = e20) | (e20 = h1(e11)) | (op2(e20, e23) = e20) | 61.66/62.14 (e20 = op2(e20, e21)), inference('split', [status(esa)], ['2821'])). 61.66/62.14 tff('2823', plain, (e20 = op2(e20, e21)) <= ((e20 = op2(e20, e21))), 61.66/62.14 inference('split', [status(esa)], ['2611'])). 61.66/62.14 tff('2824', plain, op2(e20, e21) != op2(e21, e21), 61.66/62.14 inference('cnf', [status(esa)], [ax6])). 61.66/62.14 tff('2825', plain, op2(e21, e21) = h2(e11), 61.66/62.14 inference('cnf', [status(esa)], [ax15])). 61.66/62.14 tff('2826', plain, op2(e20, e21) != h2(e11), 61.66/62.14 inference('demod', [status(thm)], ['2824', '2825'])). 61.66/62.14 tff('2827', plain, e20 = h2(e11), 61.66/62.14 inference('s_sup+', [status(thm)], ['153', '154'])). 61.66/62.14 tff('2828', plain, op2(e20, e21) != e20, 61.66/62.14 inference('demod', [status(thm)], ['2826', '2827'])). 61.66/62.14 tff('2829', plain, ~ (e20 = op2(e20, e21)), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2823', '2828'])). 61.66/62.14 tff('2830', plain, (e21 = op2(e20, e21) | ~ zip_tseitin_46), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_56])). 61.66/62.14 tff('2831', plain, (op2(e20, e21) = e21) | ~ ( zip_tseitin_46), 61.66/62.14 inference('split', [status(esa)], ['2830'])). 61.66/62.14 tff('2832', plain, 61.66/62.14 (op2(e20, e20) != e20 | op2(e20, e20) != e20 | ~ zip_tseitin_46), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_56])). 61.66/62.14 tff('2833', plain, (~ zip_tseitin_46 | op2(e20, e20) != e20), 61.66/62.14 inference('simplify', [status(thm)], ['2832'])). 61.66/62.14 tff('2834', plain, h1(e11) = op2(e20, e20), 61.66/62.14 inference('cnf', [status(esa)], [ax14])). 61.66/62.14 tff('2835', plain, (~ zip_tseitin_46 | h1(e11) != e20), 61.66/62.14 inference('demod', [status(thm)], ['2833', '2834'])). 61.66/62.14 tff('2836', plain, ~ (e20 = h1(e11)) | ~ ( zip_tseitin_46), 61.66/62.14 inference('split', [status(esa)], ['2835'])). 61.66/62.14 tff('2837', plain, 61.66/62.14 (op2(e20, e20) = e22 61.66/62.14 | e22 = op2(e20, e21) 61.66/62.14 | e22 = op2(e20, e23) 61.66/62.14 | op2(e20, e22) = e22), 61.66/62.14 inference('cnf', [status(esa)], [ax4])). 61.66/62.14 tff('2838', plain, h1(e11) = op2(e20, e20), 61.66/62.14 inference('cnf', [status(esa)], [ax14])). 61.66/62.14 tff('2839', plain, 61.66/62.14 (h1(e11) = e22 61.66/62.14 | e22 = op2(e20, e21) 61.66/62.14 | e22 = op2(e20, e23) 61.66/62.14 | op2(e20, e22) = e22), 61.66/62.14 inference('demod', [status(thm)], ['2837', '2838'])). 61.66/62.14 tff('2840', plain, 61.66/62.14 (e22 = op2(e20, e23)) | (h1(e11) = e22) | (op2(e20, e21) = e22) | 61.66/62.14 (op2(e20, e22) = e22), inference('split', [status(esa)], ['2839'])). 61.66/62.14 tff('2841', plain, (e22 = op2(e23, e23)) <= ((e22 = op2(e23, e23))), 61.66/62.14 inference('split', [status(esa)], ['272'])). 61.66/62.14 tff('2842', plain, (e23 = op2(e23, e23)) <= ((e23 = op2(e23, e23))), 61.66/62.14 inference('split', [status(esa)], ['104'])). 61.66/62.14 tff('2843', plain, 61.66/62.14 (e23 = e22) <= ((e22 = op2(e23, e23)) & (e23 = op2(e23, e23))), 61.66/62.14 inference('s_sup+', [status(thm)], ['2841', '2842'])). 61.66/62.14 tff('2844', plain, e22 != e23, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2845', plain, ~ (e22 = op2(e23, e23)) | ~ (e23 = op2(e23, e23)), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2843', '2844'])). 61.66/62.14 tff('2846', plain, (op2(e23, e23) = e21) <= ((op2(e23, e23) = e21)), 61.66/62.14 inference('split', [status(esa)], ['621'])). 61.66/62.14 tff('2847', plain, (e23 = op2(e23, e23)) <= ((e23 = op2(e23, e23))), 61.66/62.14 inference('split', [status(esa)], ['104'])). 61.66/62.14 tff('2848', plain, 61.66/62.14 (e23 = e21) <= ((op2(e23, e23) = e21) & (e23 = op2(e23, e23))), 61.66/62.14 inference('s_sup+', [status(thm)], ['2846', '2847'])). 61.66/62.14 tff('2849', plain, e23 != e21, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2850', plain, ~ (e23 = op2(e23, e23)) | ~ (op2(e23, e23) = e21), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2848', '2849'])). 61.66/62.14 tff('2851', plain, (e20 = op2(e23, e23)) <= ((e20 = op2(e23, e23))), 61.66/62.14 inference('split', [status(esa)], ['63'])). 61.66/62.14 tff('2852', plain, (e23 = op2(e23, e23)) <= ((e23 = op2(e23, e23))), 61.66/62.14 inference('split', [status(esa)], ['104'])). 61.66/62.14 tff('2853', plain, 61.66/62.14 (e23 = e20) <= ((e20 = op2(e23, e23)) & (e23 = op2(e23, e23))), 61.66/62.14 inference('s_sup+', [status(thm)], ['2851', '2852'])). 61.66/62.14 tff('2854', plain, e23 != e20, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2855', plain, ~ (e23 = op2(e23, e23)) | ~ (e20 = op2(e23, e23)), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2853', '2854'])). 61.66/62.14 tff('2856', plain, 61.66/62.14 (op2(e23, e23) != e23 | e23 != op2(e23, e23) | ~ zip_tseitin_34), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_13])). 61.66/62.14 tff('2857', plain, ~ ( zip_tseitin_34) | ~ (e23 = op2(e23, e23)), 61.66/62.14 inference('split', [status(esa)], ['2856'])). 61.66/62.14 tff('2858', plain, 61.66/62.14 (op2(e23, e23) != e23 | e23 != op2(e23, e23) | ~ zip_tseitin_36), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_17])). 61.66/62.14 tff('2859', plain, ~ ( zip_tseitin_36) | ~ (e23 = op2(e23, e23)), 61.66/62.14 inference('split', [status(esa)], ['2858'])). 61.66/62.14 tff('2860', plain, 61.66/62.14 (e23 != op2(e23, e23) | e23 != op2(e23, e23) | ~ zip_tseitin_39), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_69])). 61.66/62.14 tff('2861', plain, ~ ( zip_tseitin_39) | ~ (e23 = op2(e23, e23)), 61.66/62.14 inference('split', [status(esa)], ['2860'])). 61.66/62.14 tff('2862', plain, 61.66/62.14 (e23 != op2(e23, e23) | op2(e23, e23) != e23 | ~ zip_tseitin_44), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_18])). 61.66/62.14 tff('2863', plain, ~ (e23 = op2(e23, e23)) | ~ ( zip_tseitin_44), 61.66/62.14 inference('split', [status(esa)], ['2862'])). 61.66/62.14 tff('2864', plain, (op2(e20, e22) = e20) <= ((op2(e20, e22) = e20)), 61.66/62.14 inference('split', [status(esa)], ['60'])). 61.66/62.14 tff('2865', plain, (op2(e20, e22) = e22) <= ((op2(e20, e22) = e22)), 61.66/62.14 inference('split', [status(esa)], ['675'])). 61.66/62.14 tff('2866', plain, 61.66/62.14 (e20 = e22) <= ((op2(e20, e22) = e20) & (op2(e20, e22) = e22)), 61.66/62.14 inference('s_sup+', [status(thm)], ['2864', '2865'])). 61.66/62.14 tff('2867', plain, e22 != e20, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2868', plain, ~ (op2(e20, e22) = e22) | ~ (op2(e20, e22) = e20), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2866', '2867'])). 61.66/62.14 tff('2869', plain, (e23 = op2(e20, e23) | ~ zip_tseitin_37), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_73])). 61.66/62.14 tff('2870', plain, ~ ( zip_tseitin_37) | (e23 = op2(e20, e23)), 61.66/62.14 inference('split', [status(esa)], ['2869'])). 61.66/62.14 tff('2871', plain, (op2(e20, e21) = e22) <= ((op2(e20, e21) = e22)), 61.66/62.14 inference('split', [status(esa)], ['1799'])). 61.66/62.14 tff('2872', plain, (e22 = op2(e20, e23)) <= ((e22 = op2(e20, e23))), 61.66/62.14 inference('split', [status(esa)], ['526'])). 61.66/62.14 tff('2873', plain, op2(e20, e21) != op2(e20, e23), 61.66/62.14 inference('cnf', [status(esa)], [ax6])). 61.66/62.14 tff('2874', plain, (op2(e20, e21) != e22) <= ((e22 = op2(e20, e23))), 61.66/62.14 inference('s_sup-', [status(thm)], ['2872', '2873'])). 61.66/62.14 tff('2875', plain, 61.66/62.14 (e22 != e22) <= ((e22 = op2(e20, e23)) & (op2(e20, e21) = e22)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2871', '2874'])). 61.66/62.14 tff('2876', plain, ~ (op2(e20, e21) = e22) | ~ (e22 = op2(e20, e23)), 61.66/62.14 inference('simplify', [status(thm)], ['2875'])). 61.66/62.14 tff('2877', plain, (op2(e20, e22) = e22) <= ((op2(e20, e22) = e22)), 61.66/62.14 inference('split', [status(esa)], ['675'])). 61.66/62.14 tff('2878', plain, (e22 = op2(e20, e23)) <= ((e22 = op2(e20, e23))), 61.66/62.14 inference('split', [status(esa)], ['526'])). 61.66/62.14 tff('2879', plain, op2(e20, e22) != op2(e20, e23), 61.66/62.14 inference('cnf', [status(esa)], [ax6])). 61.66/62.14 tff('2880', plain, (op2(e20, e22) != e22) <= ((e22 = op2(e20, e23))), 61.66/62.14 inference('s_sup-', [status(thm)], ['2878', '2879'])). 61.66/62.14 tff('2881', plain, 61.66/62.14 (e22 != e22) <= ((e22 = op2(e20, e23)) & (op2(e20, e22) = e22)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2877', '2880'])). 61.66/62.14 tff('2882', plain, ~ (op2(e20, e22) = e22) | ~ (e22 = op2(e20, e23)), 61.66/62.14 inference('simplify', [status(thm)], ['2881'])). 61.66/62.14 tff('2883', plain, (op2(e22, e23) = e22) <= ((op2(e22, e23) = e22)), 61.66/62.14 inference('split', [status(esa)], ['212'])). 61.66/62.14 tff('2884', plain, (e22 = op2(e20, e23)) <= ((e22 = op2(e20, e23))), 61.66/62.14 inference('split', [status(esa)], ['526'])). 61.66/62.14 tff('2885', plain, op2(e20, e23) != op2(e22, e23), 61.66/62.14 inference('cnf', [status(esa)], [ax6])). 61.66/62.14 tff('2886', plain, (e22 != op2(e22, e23)) <= ((e22 = op2(e20, e23))), 61.66/62.14 inference('s_sup-', [status(thm)], ['2884', '2885'])). 61.66/62.14 tff('2887', plain, 61.66/62.14 (e22 != e22) <= ((op2(e22, e23) = e22) & (e22 = op2(e20, e23))), 61.66/62.14 inference('s_sup-', [status(thm)], ['2883', '2886'])). 61.66/62.14 tff('2888', plain, ~ (op2(e22, e23) = e22) | ~ (e22 = op2(e20, e23)), 61.66/62.14 inference('simplify', [status(thm)], ['2887'])). 61.66/62.14 tff('2889', plain, (e22 = h1(e11)) <= ((h1(e11) = e22)), 61.66/62.14 inference('split', [status(esa)], ['50'])). 61.66/62.14 tff('2890', plain, (e22 = op2(e20, e23)) <= ((e22 = op2(e20, e23))), 61.66/62.14 inference('split', [status(esa)], ['526'])). 61.66/62.14 tff('2891', plain, op2(e20, e20) != op2(e20, e23), 61.66/62.14 inference('cnf', [status(esa)], [ax6])). 61.66/62.14 tff('2892', plain, h1(e11) = op2(e20, e20), 61.66/62.14 inference('cnf', [status(esa)], [ax14])). 61.66/62.14 tff('2893', plain, h1(e11) != op2(e20, e23), 61.66/62.14 inference('demod', [status(thm)], ['2891', '2892'])). 61.66/62.14 tff('2894', plain, (h1(e11) != e22) <= ((e22 = op2(e20, e23))), 61.66/62.14 inference('s_sup-', [status(thm)], ['2890', '2893'])). 61.66/62.14 tff('2895', plain, (e22 != e22) <= ((h1(e11) = e22) & (e22 = op2(e20, e23))), 61.66/62.14 inference('s_sup-', [status(thm)], ['2889', '2894'])). 61.66/62.14 tff('2896', plain, ~ (h1(e11) = e22) | ~ (e22 = op2(e20, e23)), 61.66/62.14 inference('simplify', [status(thm)], ['2895'])). 61.66/62.14 tff('2897', plain, (h4(e11) = e22) <= ((e22 = h4(e11))), 61.66/62.14 inference('split', [status(esa)], ['110'])). 61.66/62.14 tff('2898', plain, (e22 = op2(e20, e23)) <= ((e22 = op2(e20, e23))), 61.66/62.14 inference('split', [status(esa)], ['526'])). 61.66/62.14 tff('2899', plain, op2(e20, e23) != h4(e11), 61.66/62.14 inference('demod', [status(thm)], ['731', '732'])). 61.66/62.14 tff('2900', plain, (e22 != h4(e11)) <= ((e22 = op2(e20, e23))), 61.66/62.14 inference('s_sup-', [status(thm)], ['2898', '2899'])). 61.66/62.14 tff('2901', plain, (e22 != e22) <= ((e22 = h4(e11)) & (e22 = op2(e20, e23))), 61.66/62.14 inference('s_sup-', [status(thm)], ['2897', '2900'])). 61.66/62.14 tff('2902', plain, ~ (e22 = h4(e11)) | ~ (e22 = op2(e20, e23)), 61.66/62.14 inference('simplify', [status(thm)], ['2901'])). 61.66/62.14 tff('2903', plain, (op2(e20, e23) = e21) <= ((op2(e20, e23) = e21)), 61.66/62.14 inference('split', [status(esa)], ['356'])). 61.66/62.14 tff('2904', plain, (e22 = op2(e20, e23)) <= ((e22 = op2(e20, e23))), 61.66/62.14 inference('split', [status(esa)], ['526'])). 61.66/62.14 tff('2905', plain, 61.66/62.14 (e22 = e21) <= ((op2(e20, e23) = e21) & (e22 = op2(e20, e23))), 61.66/62.14 inference('s_sup+', [status(thm)], ['2903', '2904'])). 61.66/62.14 tff('2906', plain, e21 != e22, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2907', plain, ~ (op2(e20, e23) = e21) | ~ (e22 = op2(e20, e23)), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2905', '2906'])). 61.66/62.14 tff('2908', plain, (e20 = op2(e20, e23)) <= ((op2(e20, e23) = e20)), 61.66/62.14 inference('split', [status(esa)], ['63'])). 61.66/62.14 tff('2909', plain, (e22 = op2(e20, e23)) <= ((e22 = op2(e20, e23))), 61.66/62.14 inference('split', [status(esa)], ['526'])). 61.66/62.14 tff('2910', plain, 61.66/62.14 (e22 = e20) <= ((op2(e20, e23) = e20) & (e22 = op2(e20, e23))), 61.66/62.14 inference('s_sup+', [status(thm)], ['2908', '2909'])). 61.66/62.14 tff('2911', plain, e22 != e20, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2912', plain, ~ (op2(e20, e23) = e20) | ~ (e22 = op2(e20, e23)), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2910', '2911'])). 61.66/62.14 tff('2913', plain, (e23 = op2(e20, e23)) <= ((e23 = op2(e20, e23))), 61.66/62.14 inference('split', [status(esa)], ['104'])). 61.66/62.14 tff('2914', plain, (e22 = op2(e20, e23)) <= ((e22 = op2(e20, e23))), 61.66/62.14 inference('split', [status(esa)], ['526'])). 61.66/62.14 tff('2915', plain, 61.66/62.14 (e22 = e23) <= ((e23 = op2(e20, e23)) & (e22 = op2(e20, e23))), 61.66/62.14 inference('s_sup+', [status(thm)], ['2913', '2914'])). 61.66/62.14 tff('2916', plain, e22 != e23, inference('cnf', [status(esa)], [ax8])). 61.66/62.14 tff('2917', plain, ~ (e23 = op2(e20, e23)) | ~ (e22 = op2(e20, e23)), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2915', '2916'])). 61.66/62.14 tff('2918', plain, (e23 = op2(e23, e22)) <= ((op2(e23, e22) = e23)), 61.66/62.14 inference('split', [status(esa)], ['124'])). 61.66/62.14 tff('2919', plain, 61.66/62.14 (h4(e13) = e22) <= ((e21 = h4(e11)) & (op2(e23, e21) = e22)), 61.66/62.14 inference('s_sup+', [status(thm)], ['585', '586'])). 61.66/62.14 tff('2920', plain, (op1(e12, e13) = e12) <= ((op1(e12, e13) = e12)), 61.66/62.14 inference('split', [status(esa)], ['27'])). 61.66/62.14 tff('2921', plain, 61.66/62.14 (op2(e23, h4(e13)) != h4(op1(e12, e13))) 61.66/62.14 <= (~ (op2(e23, h4(e13)) = h4(op1(e12, e13)))), 61.66/62.14 inference('split', [status(esa)], ['346'])). 61.66/62.14 tff('2922', plain, 61.66/62.14 (op2(e23, h4(e13)) != h4(e12)) 61.66/62.14 <= (~ (op2(e23, h4(e13)) = h4(op1(e12, e13))) & (op1(e12, e13) = e12)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2920', '2921'])). 61.66/62.14 tff('2923', plain, e23 = h4(e12), inference('cnf', [status(esa)], [ax17])). 61.66/62.14 tff('2924', plain, 61.66/62.14 (op2(e23, h4(e13)) != e23) 61.66/62.14 <= (~ (op2(e23, h4(e13)) = h4(op1(e12, e13))) & (op1(e12, e13) = e12)), 61.66/62.14 inference('demod', [status(thm)], ['2922', '2923'])). 61.66/62.14 tff('2925', plain, 61.66/62.14 (op2(e23, e22) != e23) 61.66/62.14 <= (~ (op2(e23, h4(e13)) = h4(op1(e12, e13))) & 61.66/62.14 (op1(e12, e13) = e12) & 61.66/62.14 (e21 = h4(e11)) & 61.66/62.14 (op2(e23, e21) = e22)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2919', '2924'])). 61.66/62.14 tff('2926', plain, 61.66/62.14 (e23 != e23) 61.66/62.14 <= (~ (op2(e23, h4(e13)) = h4(op1(e12, e13))) & 61.66/62.14 (op1(e12, e13) = e12) & 61.66/62.14 (e21 = h4(e11)) & 61.66/62.14 (op2(e23, e21) = e22) & 61.66/62.14 (op2(e23, e22) = e23)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2918', '2925'])). 61.66/62.14 tff('2927', plain, 61.66/62.14 (op2(e23, h4(e13)) = h4(op1(e12, e13))) | ~ (op1(e12, e13) = e12) | 61.66/62.14 ~ (e21 = h4(e11)) | ~ (op2(e23, e22) = e23) | ~ (op2(e23, e21) = e22), 61.66/62.14 inference('simplify', [status(thm)], ['2926'])). 61.66/62.14 tff('2928', plain, 61.66/62.14 (e11 = op1(e13, e13) 61.66/62.14 | op1(e13, e12) = e11 61.66/62.14 | op1(e13, e11) = e11 61.66/62.14 | op1(e13, e10) = e11), 61.66/62.14 inference('cnf', [status(esa)], [ax2])). 61.66/62.14 tff('2929', plain, e11 != op1(e13, e12), 61.66/62.14 inference('demod', [status(thm)], ['317', '318'])). 61.66/62.14 tff('2930', plain, 61.66/62.14 (e11 = op1(e13, e13) | op1(e13, e11) = e11 | op1(e13, e10) = e11), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2928', '2929'])). 61.66/62.14 tff('2931', plain, 61.66/62.14 (op1(e13, e11) = e11) | (op1(e13, e10) = e11) | (op1(e13, e13) = e11), 61.66/62.14 inference('split', [status(esa)], ['2930'])). 61.66/62.14 tff('2932', plain, 61.66/62.14 (op1(e11, e10) = e13 61.66/62.14 | e13 = op1(e11, e12) 61.66/62.14 | e13 = op1(e11, e13) 61.66/62.14 | e13 = op1(e11, e11)), 61.66/62.14 inference('cnf', [status(esa)], [ax2])). 61.66/62.14 tff('2933', plain, e10 = op1(e11, e11), 61.66/62.14 inference('demod', [status(thm)], ['4', '5', '6'])). 61.66/62.14 tff('2934', plain, 61.66/62.14 (op1(e11, e10) = e13 61.66/62.14 | e13 = op1(e11, e12) 61.66/62.14 | e13 = op1(e11, e13) 61.66/62.14 | e13 = e10), 61.66/62.14 inference('demod', [status(thm)], ['2932', '2933'])). 61.66/62.14 tff('2935', plain, e13 != e10, inference('cnf', [status(esa)], [ax7])). 61.66/62.14 tff('2936', plain, 61.66/62.14 (op1(e11, e10) = e13 | e13 = op1(e11, e12) | e13 = op1(e11, e13)), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2934', '2935'])). 61.66/62.14 tff('2937', plain, 61.66/62.14 (e13 = op1(e11, e12)) | (op1(e11, e13) = e13) | (e13 = op1(e11, e10)), 61.66/62.14 inference('split', [status(esa)], ['2936'])). 61.66/62.14 tff('2938', plain, 61.66/62.14 (e13 = op1(e11, e10) 61.66/62.14 | e13 = op1(e12, e10) 61.66/62.14 | op1(e13, e10) = e13 61.66/62.14 | op1(e10, e10) = e13), 61.66/62.14 inference('cnf', [status(esa)], [ax2])). 61.66/62.14 tff('2939', plain, op1(e12, e10) != e13, 61.66/62.14 inference('demod', [status(thm)], ['1582', '1583'])). 61.66/62.14 tff('2940', plain, 61.66/62.14 (e13 = op1(e11, e10) | op1(e13, e10) = e13 | op1(e10, e10) = e13), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2938', '2939'])). 61.66/62.14 tff('2941', plain, 61.66/62.14 (e13 = op1(e10, e10)) | (e13 = op1(e11, e10)) | (op1(e13, e10) = e13), 61.66/62.14 inference('split', [status(esa)], ['2940'])). 61.66/62.14 tff('2942', plain, (op1(e13, e10) = e11) <= ((op1(e13, e10) = e11)), 61.66/62.14 inference('split', [status(esa)], ['749'])). 61.66/62.14 tff('2943', plain, (op1(e11, e10) = e11) <= ((op1(e11, e10) = e11)), 61.66/62.14 inference('split', [status(esa)], ['67'])). 61.66/62.14 tff('2944', plain, op1(e11, e10) != op1(e13, e10), 61.66/62.14 inference('cnf', [status(esa)], [ax5])). 61.66/62.14 tff('2945', plain, (e11 != op1(e13, e10)) <= ((op1(e11, e10) = e11)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2943', '2944'])). 61.66/62.14 tff('2946', plain, 61.66/62.14 (e11 != e11) <= ((op1(e11, e10) = e11) & (op1(e13, e10) = e11)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2942', '2945'])). 61.66/62.14 tff('2947', plain, ~ (op1(e13, e10) = e11) | ~ (op1(e11, e10) = e11), 61.66/62.14 inference('simplify', [status(thm)], ['2946'])). 61.66/62.14 tff('2948', plain, (op1(e11, e10) = e11) <= ((op1(e11, e10) = e11)), 61.66/62.14 inference('split', [status(esa)], ['67'])). 61.66/62.14 tff('2949', plain, (e13 = op1(e11, e10)) <= ((e13 = op1(e11, e10))), 61.66/62.14 inference('split', [status(esa)], ['758'])). 61.66/62.14 tff('2950', plain, 61.66/62.14 (e13 = e11) <= ((op1(e11, e10) = e11) & (e13 = op1(e11, e10))), 61.66/62.14 inference('s_sup+', [status(thm)], ['2948', '2949'])). 61.66/62.14 tff('2951', plain, e13 != e11, inference('cnf', [status(esa)], [ax7])). 61.66/62.14 tff('2952', plain, ~ (e13 = op1(e11, e10)) | ~ (op1(e11, e10) = e11), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2950', '2951'])). 61.66/62.14 tff('2953', plain, ~ ( zip_tseitin_1) | (op1(e11, e10) = e11), 61.66/62.14 inference('split', [status(esa)], ['67'])). 61.66/62.14 tff('2954', plain, (op1(e13, e11) = e11) <= ((op1(e13, e11) = e11)), 61.66/62.14 inference('split', [status(esa)], ['42'])). 61.66/62.14 tff('2955', plain, (e11 = op1(e10, e11)) <= ((e11 = op1(e10, e11))), 61.66/62.14 inference('split', [status(esa)], ['297'])). 61.66/62.14 tff('2956', plain, op1(e10, e11) != op1(e13, e11), 61.66/62.14 inference('cnf', [status(esa)], [ax5])). 61.66/62.14 tff('2957', plain, (e11 != op1(e13, e11)) <= ((e11 = op1(e10, e11))), 61.66/62.14 inference('s_sup-', [status(thm)], ['2955', '2956'])). 61.66/62.14 tff('2958', plain, 61.66/62.14 (e11 != e11) <= ((e11 = op1(e10, e11)) & (op1(e13, e11) = e11)), 61.66/62.14 inference('s_sup-', [status(thm)], ['2954', '2957'])). 61.66/62.14 tff('2959', plain, ~ (e11 = op1(e10, e11)) | ~ (op1(e13, e11) = e11), 61.66/62.14 inference('simplify', [status(thm)], ['2958'])). 61.66/62.14 tff('2960', plain, (op1(e11, e12) = e12) <= ((op1(e11, e12) = e12)), 61.66/62.14 inference('split', [status(esa)], ['112'])). 61.66/62.14 tff('2961', plain, (e13 = op1(e11, e12)) <= ((e13 = op1(e11, e12))), 61.66/62.14 inference('split', [status(esa)], ['1574'])). 61.66/62.14 tff('2962', plain, 61.66/62.14 (e13 = e12) <= ((op1(e11, e12) = e12) & (e13 = op1(e11, e12))), 61.66/62.14 inference('s_sup+', [status(thm)], ['2960', '2961'])). 61.66/62.14 tff('2963', plain, e13 != e12, inference('cnf', [status(esa)], [ax7])). 61.66/62.14 tff('2964', plain, ~ (e13 = op1(e11, e12)) | ~ (op1(e11, e12) = e12), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2962', '2963'])). 61.66/62.14 tff('2965', plain, 61.66/62.14 (op1(e13, e13) != e13 | e13 != op1(e13, e13) | ~ zip_tseitin_12), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_0])). 61.66/62.14 tff('2966', plain, (~ zip_tseitin_12 | op1(e13, e13) != e13), 61.66/62.14 inference('simplify', [status(thm)], ['2965'])). 61.66/62.14 tff('2967', plain, ~ ( zip_tseitin_12) | ~ (e13 = op1(e13, e13)), 61.66/62.14 inference('split', [status(esa)], ['2966'])). 61.66/62.14 tff('2968', plain, 61.66/62.14 (e13 = op1(e12, e13) 61.66/62.14 | e13 = op1(e13, e13) 61.66/62.14 | e13 = op1(e11, e13) 61.66/62.14 | op1(e10, e13) = e13), 61.66/62.14 inference('cnf', [status(esa)], [ax2])). 61.66/62.14 tff('2969', plain, 61.66/62.14 (e13 = op1(e13, e13)) | (op1(e11, e13) = e13) | (op1(e10, e13) = e13) | 61.66/62.14 (op1(e12, e13) = e13), inference('split', [status(esa)], ['2968'])). 61.66/62.14 tff(zf_stmt_82, axiom, 61.66/62.14 (zip_tseitin_7 => 61.66/62.14 ((op1(e12,e13) = e13) & ((op1(e12,e11) != e12) | (op1(e12,e12) != e11)) & 61.66/62.14 ((e13 != op1(e12,e12)) | (op1(e12,e13) != e12)) & 61.66/62.14 ((op1(e12,e12) != e12) | (op1(e12,e12) != e12)) & 61.66/62.14 ((op1(e12,e12) != e10) | (op1(e12,e10) != e12)) & (e13 = op1(e13,e12))))). 61.66/62.14 tff('2970', plain, (op1(e12, e13) = e13 | ~ zip_tseitin_7), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_82])). 61.66/62.14 tff('2971', plain, (op1(e12, e13) = e13) <= ((op1(e12, e13) = e13)), 61.66/62.14 inference('split', [status(esa)], ['2970'])). 61.66/62.14 tff('2972', plain, e13 != op1(e12, e13), 61.66/62.14 inference('demod', [status(thm)], ['279', '280'])). 61.66/62.14 tff('2973', plain, ~ (op1(e12, e13) = e13), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2971', '2972'])). 61.66/62.14 tff('2974', plain, ~ ( zip_tseitin_12) | (op1(e11, e13) = e11), 61.66/62.14 inference('split', [status(esa)], ['20'])). 61.66/62.14 tff('2975', plain, (op1(e13, e13) = e13) <= ((e13 = op1(e13, e13))), 61.66/62.14 inference('split', [status(esa)], ['424'])). 61.66/62.14 tff(zf_stmt_83, axiom, 61.66/62.14 (zip_tseitin_21 => 61.66/62.14 ((e12 = op1(e13,e13)) & ((e10 = op1(e10,e12)) | (e12 != op1(e10,e10))) & 61.66/62.14 ((op1(e13,e12) = e13) | (e12 != op1(e13,e13))) & 61.66/62.14 ((e12 = op1(e12,e12)) | (e12 != op1(e12,e12))) & 61.66/62.14 ((op1(e11,e11) != e12) | (op1(e11,e12) = e11))))). 61.66/62.14 tff('2976', plain, (e12 = op1(e13, e13) | ~ zip_tseitin_21), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_83])). 61.66/62.14 tff('2977', plain, (e12 = op1(e13, e13)) <= ((e12 = op1(e13, e13))), 61.66/62.14 inference('split', [status(esa)], ['2976'])). 61.66/62.14 tff('2978', plain, 61.66/62.14 (e12 = e13) <= ((e13 = op1(e13, e13)) & (e12 = op1(e13, e13))), 61.66/62.14 inference('s_sup+', [status(thm)], ['2975', '2977'])). 61.66/62.14 tff('2979', plain, e13 != e12, inference('cnf', [status(esa)], [ax7])). 61.66/62.14 tff('2980', plain, ~ (e13 = op1(e13, e13)) | ~ (e12 = op1(e13, e13)), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2978', '2979'])). 61.66/62.14 tff('2981', plain, 61.66/62.14 (e12 = op1(e13, e11) 61.66/62.14 | op1(e13, e12) = e12 61.66/62.14 | op1(e13, e13) = e12 61.66/62.14 | op1(e13, e10) = e12), 61.66/62.14 inference('cnf', [status(esa)], [ax2])). 61.66/62.14 tff('2982', plain, 61.66/62.14 (e12 = op1(e13, e13)) | (e12 = op1(e13, e12)) | (op1(e13, e11) = e12) | 61.66/62.14 (e12 = op1(e13, e10)), inference('split', [status(esa)], ['2981'])). 61.66/62.14 tff('2983', plain, (op1(e11, e13) = e11) <= ((op1(e11, e13) = e11)), 61.66/62.14 inference('split', [status(esa)], ['20'])). 61.66/62.14 tff('2984', plain, (op1(e11, e13) = e13) <= ((op1(e11, e13) = e13)), 61.66/62.14 inference('split', [status(esa)], ['363'])). 61.66/62.14 tff('2985', plain, 61.66/62.14 (e11 = e13) <= ((op1(e11, e13) = e11) & (op1(e11, e13) = e13)), 61.66/62.14 inference('s_sup+', [status(thm)], ['2983', '2984'])). 61.66/62.14 tff('2986', plain, e13 != e11, inference('cnf', [status(esa)], [ax7])). 61.66/62.14 tff('2987', plain, ~ (op1(e11, e13) = e13) | ~ (op1(e11, e13) = e11), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2985', '2986'])). 61.66/62.14 tff('2988', plain, ~ ( zip_tseitin_1) | (e11 = op1(e10, e11)), 61.66/62.14 inference('split', [status(esa)], ['297'])). 61.66/62.14 tff('2989', plain, 61.66/62.14 (e11 = op1(e10, e11) 61.66/62.14 | e11 = op1(e13, e11) 61.66/62.14 | e11 = op1(e12, e11) 61.66/62.14 | e11 = op1(e11, e11)), 61.66/62.14 inference('cnf', [status(esa)], [ax2])). 61.66/62.14 tff('2990', plain, op1(e12, e11) = e13, 61.66/62.14 inference('demod', [status(thm)], ['10', '11'])). 61.66/62.14 tff('2991', plain, e10 = op1(e11, e11), 61.66/62.14 inference('demod', [status(thm)], ['4', '5', '6'])). 61.66/62.14 tff('2992', plain, 61.66/62.14 (e11 = op1(e10, e11) | e11 = op1(e13, e11) | e11 = e13 | e11 = e10), 61.66/62.14 inference('demod', [status(thm)], ['2989', '2990', '2991'])). 61.66/62.14 tff('2993', plain, e10 != e11, inference('cnf', [status(esa)], [ax7])). 61.66/62.14 tff('2994', plain, e13 != e11, inference('cnf', [status(esa)], [ax7])). 61.66/62.14 tff('2995', plain, (e11 = op1(e10, e11) | e11 = op1(e13, e11)), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['2992', '2993', '2994'])). 61.66/62.14 tff('2996', plain, (op1(e13, e11) = e11) | (e11 = op1(e10, e11)), 61.66/62.14 inference('split', [status(esa)], ['2995'])). 61.66/62.14 tff('2997', plain, 61.66/62.14 (e12 = op1(e10, e12) 61.66/62.14 | op1(e10, e12) = e13 61.66/62.14 | e11 = op1(e10, e12) 61.66/62.14 | op1(e10, e12) = e10), 61.66/62.14 inference('cnf', [status(esa)], [ax1])). 61.66/62.14 tff('2998', plain, 61.66/62.14 (e10 = op1(e10, e12)) | (op1(e10, e12) = e13) | (e12 = op1(e10, e12)) | 61.66/62.14 (e11 = op1(e10, e12)), inference('split', [status(esa)], ['2997'])). 61.66/62.14 tff('2999', plain, (op1(e10, e10) = e12) <= ((e12 = op1(e10, e10))), 61.66/62.14 inference('split', [status(esa)], ['230'])). 61.66/62.14 tff('3000', plain, (op1(e10, e10) = e13) <= ((e13 = op1(e10, e10))), 61.66/62.14 inference('split', [status(esa)], ['230'])). 61.66/62.14 tff('3001', plain, 61.66/62.14 (e12 = e13) <= ((e12 = op1(e10, e10)) & (e13 = op1(e10, e10))), 61.66/62.14 inference('s_sup+', [status(thm)], ['2999', '3000'])). 61.66/62.14 tff('3002', plain, e13 != e12, inference('cnf', [status(esa)], [ax7])). 61.66/62.14 tff('3003', plain, ~ (e12 = op1(e10, e10)) | ~ (e13 = op1(e10, e10)), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['3001', '3002'])). 61.66/62.14 tff('3004', plain, 61.66/62.14 (op1(e10, e12) = e12 61.66/62.14 | op1(e10, e13) = e12 61.66/62.14 | op1(e10, e11) = e12 61.66/62.14 | e12 = op1(e10, e10)), 61.66/62.14 inference('cnf', [status(esa)], [ax2])). 61.66/62.14 tff('3005', plain, 61.66/62.14 (e12 = op1(e10, e11)) | (op1(e10, e13) = e12) | (e12 = op1(e10, e10)) | 61.66/62.14 (e12 = op1(e10, e12)), inference('split', [status(esa)], ['3004'])). 61.66/62.14 tff('3006', plain, 61.66/62.14 (op1(e11, e12) = e12 61.66/62.14 | op1(e13, e12) = e12 61.66/62.14 | e12 = op1(e12, e12) 61.66/62.14 | op1(e10, e12) = e12), 61.66/62.14 inference('cnf', [status(esa)], [ax2])). 61.66/62.14 tff('3007', plain, e11 = op1(e12, e12), 61.66/62.14 inference('cnf', [status(esa)], [ax12])). 61.66/62.14 tff('3008', plain, 61.66/62.14 (op1(e11, e12) = e12 61.66/62.14 | op1(e13, e12) = e12 61.66/62.14 | e12 = e11 61.66/62.14 | op1(e10, e12) = e12), 61.66/62.14 inference('demod', [status(thm)], ['3006', '3007'])). 61.66/62.14 tff('3009', plain, e12 != e11, inference('cnf', [status(esa)], [ax7])). 61.66/62.14 tff('3010', plain, 61.66/62.14 (op1(e11, e12) = e12 | op1(e13, e12) = e12 | op1(e10, e12) = e12), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['3008', '3009'])). 61.66/62.14 tff('3011', plain, 61.66/62.14 (op1(e11, e12) = e12) | (e12 = op1(e13, e12)) | (e12 = op1(e10, e12)), 61.66/62.14 inference('split', [status(esa)], ['3010'])). 61.66/62.14 tff('3012', plain, ~ ( zip_tseitin_4) | (e12 = op1(e12, e10)), 61.66/62.14 inference('split', [status(esa)], ['132'])). 61.66/62.14 tff('3013', plain, 61.66/62.14 (e13 != op1(e13, e13) | op1(e13, e13) != e13 | ~ zip_tseitin_0), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_9])). 61.66/62.14 tff('3014', plain, (~ zip_tseitin_0 | e13 != op1(e13, e13)), 61.66/62.14 inference('simplify', [status(thm)], ['3013'])). 61.66/62.14 tff('3015', plain, ~ ( zip_tseitin_0) | ~ (e13 = op1(e13, e13)), 61.66/62.14 inference('split', [status(esa)], ['3014'])). 61.66/62.14 tff('3016', plain, ~ ( zip_tseitin_0) | (op1(e13, e10) = e10), 61.66/62.14 inference('split', [status(esa)], ['245'])). 61.66/62.14 tff(zf_stmt_84, type, zip_tseitin_31 : $o). 61.66/62.14 tff(zf_stmt_85, type, zip_tseitin_30 : $o). 61.66/62.14 tff(zf_stmt_86, type, zip_tseitin_29 : $o). 61.66/62.14 tff(zf_stmt_87, axiom, 61.66/62.14 (zip_tseitin_29 => 61.66/62.14 ((e10 = op1(e11,e11)) & ((e10 != op1(e10,e10)) | (e10 = op1(e10,e10))) & 61.66/62.14 ((e11 = op1(e11,e10)) | (op1(e11,e11) != e10)) & 61.66/62.14 ((op1(e13,e13) != e10) | (e13 = op1(e13,e10))) & 61.66/62.14 ((op1(e12,e10) = e12) | (op1(e12,e12) != e10))))). 61.66/62.14 tff(zf_stmt_88, type, zip_tseitin_28 : $o). 61.66/62.14 tff(zf_stmt_89, axiom, 61.66/62.14 (zip_tseitin_28 => 61.66/62.14 (((e11 != op1(e11,e11)) | (e11 = op1(e11,e11))) & 61.66/62.14 ((e11 != op1(e12,e12)) | (op1(e12,e11) = e12)) & 61.66/62.14 ((e11 != op1(e13,e13)) | (op1(e13,e11) = e13)) & 61.66/62.14 ((e11 != op1(e10,e10)) | (e10 = op1(e10,e11))) & (e11 = op1(e11,e11))))). 61.66/62.14 tff(zf_stmt_90, type, zip_tseitin_27 : $o). 61.66/62.14 tff(zf_stmt_91, axiom, 61.66/62.14 (zip_tseitin_27 => 61.66/62.14 (((e12 != op1(e10,e10)) | (op1(e10,e12) = e10)) & 61.66/62.14 ((e13 = op1(e13,e12)) | (e12 != op1(e13,e13))) & 61.66/62.14 ((op1(e12,e12) = e12) | (e12 != op1(e12,e12))) & 61.66/62.14 ((e12 != op1(e11,e11)) | (op1(e11,e12) = e11)) & (op1(e11,e11) = e12)))). 61.66/62.14 tff(zf_stmt_92, type, zip_tseitin_26 : $o). 61.66/62.14 tff(zf_stmt_93, axiom, 61.66/62.14 (zip_tseitin_26 => 61.66/62.14 (((op1(e10,e10) != e13) | (e10 = op1(e10,e13))) & 61.66/62.14 ((e13 = op1(e13,e13)) | (e13 != op1(e13,e13))) & 61.66/62.14 ((op1(e12,e12) != e13) | (op1(e12,e13) = e12)) & 61.66/62.14 ((e11 = op1(e11,e13)) | (e13 != op1(e11,e11))) & (op1(e11,e11) = e13)))). 61.66/62.14 tff(zf_stmt_94, type, zip_tseitin_25 : $o). 61.66/62.14 tff(zf_stmt_95, axiom, 61.66/62.14 (zip_tseitin_25 => 61.66/62.14 ((e10 = op1(e12,e12)) & ((op1(e13,e10) = e13) | (op1(e13,e13) != e10)) & 61.66/62.14 ((e10 != op1(e12,e12)) | (op1(e12,e10) = e12)) & 61.66/62.14 ((op1(e11,e11) != e10) | (op1(e11,e10) = e11)) & 61.66/62.14 ((op1(e10,e10) = e10) | (op1(e10,e10) != e10))))). 61.66/62.14 tff(zf_stmt_96, type, zip_tseitin_24 : $o). 61.66/62.14 tff(zf_stmt_97, axiom, 61.66/62.14 (zip_tseitin_24 => 61.66/62.14 (((op1(e11,e11) != e11) | (e11 = op1(e11,e11))) & 61.66/62.14 ((e11 != op1(e12,e12)) | (op1(e12,e11) = e12)) & 61.66/62.14 ((op1(e13,e11) = e13) | (e11 != op1(e13,e13))) & 61.66/62.14 ((e11 != op1(e10,e10)) | (e10 = op1(e10,e11))) & (e11 = op1(e12,e12))))). 61.66/62.14 tff(zf_stmt_98, type, zip_tseitin_23 : $o). 61.66/62.14 tff(zf_stmt_99, axiom, 61.66/62.14 (zip_tseitin_23 => 61.66/62.14 (((e13 != op1(e10,e10)) | (e10 = op1(e10,e13))) & 61.66/62.14 ((op1(e13,e13) != e13) | (op1(e13,e13) = e13)) & 61.66/62.14 ((op1(e12,e13) = e12) | (op1(e12,e12) != e13)) & 61.66/62.14 ((op1(e11,e13) = e11) | (e13 != op1(e11,e11))) & (op1(e12,e12) = e13)))). 61.66/62.14 tff(zf_stmt_100, type, zip_tseitin_22 : $o). 61.66/62.14 tff(zf_stmt_101, axiom, 61.66/62.14 (zip_tseitin_22 => 61.66/62.14 ((e13 = op1(e13,e13)) & ((op1(e11,e11) != e13) | (op1(e11,e13) = e11)) & 61.66/62.14 ((e13 != op1(e13,e13)) | (op1(e13,e13) = e13)) & 61.66/62.14 ((e13 != op1(e12,e12)) | (e12 = op1(e12,e13))) & 61.66/62.14 ((op1(e10,e10) != e13) | (op1(e10,e13) = e10))))). 61.66/62.14 tff(zf_stmt_102, type, zip_tseitin_21 : $o). 61.66/62.14 tff(zf_stmt_103, type, zip_tseitin_20 : $o). 61.66/62.14 tff(zf_stmt_104, type, zip_tseitin_19 : $o). 61.66/62.14 tff(zf_stmt_105, type, zip_tseitin_18 : $o). 61.66/62.14 tff(zf_stmt_106, axiom, 61.66/62.14 (zip_tseitin_18 => 61.66/62.14 (((op1(e10,e10) != e12) | (op1(e10,e12) = e10)) & 61.66/62.14 ((op1(e11,e12) = e11) | (op1(e11,e11) != e12)) & 61.66/62.14 ((e12 = op1(e12,e12)) | (op1(e12,e12) != e12)) & 61.66/62.14 ((e13 = op1(e13,e12)) | (op1(e13,e13) != e12)) & (op1(e12,e12) = e12)))). 61.66/62.14 tff(zf_stmt_107, type, zip_tseitin_17 : $o). 61.66/62.14 tff(zf_stmt_108, type, zip_tseitin_16 : $o). 61.66/62.14 tff(zf_stmt_109, axiom, 61.66/62.14 (zip_tseitin_16 => 61.66/62.14 ((op1(e10,e10) = e11) & ((op1(e13,e13) != e11) | (e13 = op1(e13,e11))) & 61.66/62.14 ((e11 != op1(e12,e12)) | (e12 = op1(e12,e11))) & 61.66/62.14 ((op1(e11,e11) != e11) | (e11 = op1(e11,e11))) & 61.66/62.14 ((op1(e10,e10) != e11) | (op1(e10,e11) = e10))))). 61.66/62.14 tff(zf_stmt_110, type, zip_tseitin_15 : $o). 61.66/62.14 tff(zf_stmt_111, type, zip_tseitin_14 : $o). 61.66/62.14 tff(zf_stmt_112, type, zip_tseitin_13 : $o). 61.66/62.14 tff(zf_stmt_113, type, zip_tseitin_12 : $o). 61.66/62.14 tff(zf_stmt_114, type, zip_tseitin_11 : $o). 61.66/62.14 tff(zf_stmt_115, type, zip_tseitin_10 : $o). 61.66/62.14 tff(zf_stmt_116, axiom, 61.66/62.14 (zip_tseitin_10 => 61.66/62.14 ((e12 = op1(e12,e12)) & (op1(e12,e12) = e12) & 61.66/62.14 ((e13 != op1(e12,e12)) | (e12 != op1(e12,e13))) & 61.66/62.14 ((op1(e12,e12) != e12) | (op1(e12,e12) != e12)) & 61.66/62.14 ((op1(e12,e11) != e12) | (e11 != op1(e12,e12))) & 61.66/62.14 ((op1(e12,e12) != e10) | (op1(e12,e10) != e12))))). 61.66/62.14 tff(zf_stmt_117, type, zip_tseitin_9 : $o). 61.66/62.14 tff(zf_stmt_118, type, zip_tseitin_8 : $o). 61.66/62.14 tff(zf_stmt_119, axiom, 61.66/62.14 (zip_tseitin_8 => 61.66/62.14 ((e13 = op1(e13,e11)) & (e13 = op1(e11,e13)) & 61.66/62.14 ((e11 != op1(e11,e13)) | (op1(e11,e11) != e13)) & 61.66/62.14 ((e11 != op1(e11,e12)) | (op1(e11,e11) != e12)) & 61.66/62.14 ((e11 != op1(e11,e11)) | (e11 != op1(e11,e11))) & 61.66/62.14 ((e10 != op1(e11,e11)) | (op1(e11,e10) != e11))))). 61.66/62.14 tff(zf_stmt_120, type, zip_tseitin_7 : $o). 61.66/62.14 tff(zf_stmt_121, type, zip_tseitin_6 : $o). 61.66/62.14 tff(zf_stmt_122, type, zip_tseitin_5 : $o). 61.66/62.14 tff(zf_stmt_123, type, zip_tseitin_4 : $o). 61.66/62.14 tff(zf_stmt_124, type, zip_tseitin_3 : $o). 61.66/62.14 tff(zf_stmt_125, axiom, 61.66/62.14 (zip_tseitin_3 => 61.66/62.14 ((op1(e11,e12) = e11) & (e11 = op1(e12,e11)) & 61.66/62.14 ((op1(e12,e12) != e12) | (op1(e12,e12) != e12)) & 61.66/62.14 ((e12 != op1(e12,e13)) | (op1(e12,e12) != e13)) & 61.66/62.14 ((op1(e12,e11) != e12) | (op1(e12,e12) != e11)) & 61.66/62.14 ((op1(e12,e12) != e10) | (e12 != op1(e12,e10)))))). 61.66/62.14 tff(zf_stmt_126, type, zip_tseitin_2 : $o). 61.66/62.14 tff(zf_stmt_127, axiom, 61.66/62.14 (zip_tseitin_2 => 61.66/62.14 (((op1(e11,e11) != e11) | (op1(e11,e11) != e11)) & 61.66/62.14 ((e12 != op1(e11,e11)) | (op1(e11,e12) != e11)) & 61.66/62.14 ((e11 != op1(e11,e13)) | (e13 != op1(e11,e11))) & 61.66/62.14 ((op1(e11,e10) != e11) | (op1(e11,e11) != e10)) & (op1(e11,e11) = e11) & 61.66/62.14 (e11 = op1(e11,e11))))). 61.66/62.14 tff(zf_stmt_128, type, zip_tseitin_1 : $o). 61.66/62.14 tff(zf_stmt_129, type, zip_tseitin_0 : $o). 61.66/62.14 tff(zf_stmt_130, axiom, 61.66/62.14 ((zip_tseitin_31 | zip_tseitin_30 | zip_tseitin_29 | zip_tseitin_28 | 61.66/62.14 zip_tseitin_27 | zip_tseitin_26 | zip_tseitin_25 | zip_tseitin_24 | 61.66/62.14 zip_tseitin_23 | zip_tseitin_22 | zip_tseitin_21 | zip_tseitin_20 | 61.66/62.14 zip_tseitin_19 | zip_tseitin_18 | zip_tseitin_17 | zip_tseitin_16) & 61.66/62.14 (zip_tseitin_15 | zip_tseitin_14 | zip_tseitin_13 | zip_tseitin_12 | 61.66/62.14 zip_tseitin_11 | zip_tseitin_10 | zip_tseitin_9 | zip_tseitin_8 | 61.66/62.14 zip_tseitin_7 | zip_tseitin_6 | zip_tseitin_5 | zip_tseitin_4 | 61.66/62.14 zip_tseitin_3 | zip_tseitin_2 | zip_tseitin_1 | zip_tseitin_0))). 61.66/62.14 tff('3017', plain, 61.66/62.14 ( zip_tseitin_15 61.66/62.14 | zip_tseitin_14 61.66/62.14 | zip_tseitin_13 61.66/62.14 | zip_tseitin_12 61.66/62.14 | zip_tseitin_11 61.66/62.14 | zip_tseitin_10 61.66/62.14 | zip_tseitin_9 61.66/62.14 | zip_tseitin_8 61.66/62.14 | zip_tseitin_7 61.66/62.14 | zip_tseitin_6 61.66/62.14 | zip_tseitin_5 61.66/62.14 | zip_tseitin_4 61.66/62.14 | zip_tseitin_3 61.66/62.14 | zip_tseitin_2 61.66/62.14 | zip_tseitin_1 61.66/62.14 | zip_tseitin_0), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_130])). 61.66/62.14 tff('3018', plain, ( zip_tseitin_7) <= (( zip_tseitin_7)), 61.66/62.14 inference('split', [status(esa)], ['3017'])). 61.66/62.14 tff('3019', plain, (op1(e12, e13) = e13 | ~ zip_tseitin_7), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_82])). 61.66/62.14 tff('3020', plain, e13 != op1(e12, e13), 61.66/62.14 inference('demod', [status(thm)], ['279', '280'])). 61.66/62.14 tff('3021', plain, ~ zip_tseitin_7, 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['3019', '3020'])). 61.66/62.14 tff('3022', plain, ~ ( zip_tseitin_7), 61.66/62.14 inference('s_sup-', [status(thm)], ['3018', '3021'])). 61.66/62.14 tff('3023', plain, ( zip_tseitin_3) <= (( zip_tseitin_3)), 61.66/62.14 inference('split', [status(esa)], ['3017'])). 61.66/62.14 tff('3024', plain, (op1(e11, e12) = e11 | ~ zip_tseitin_3), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_125])). 61.66/62.14 tff('3025', plain, e11 != op1(e11, e12), 61.66/62.14 inference('demod', [status(thm)], ['1546', '1547'])). 61.66/62.14 tff('3026', plain, ~ zip_tseitin_3, 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['3024', '3025'])). 61.66/62.14 tff('3027', plain, ~ ( zip_tseitin_3), 61.66/62.14 inference('s_sup-', [status(thm)], ['3023', '3026'])). 61.66/62.14 tff('3028', plain, (e12 = op1(e12, e12) | ~ zip_tseitin_10), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_116])). 61.66/62.14 tff('3029', plain, ~ ( zip_tseitin_10) | (e12 = op1(e12, e12)), 61.66/62.14 inference('split', [status(esa)], ['3028'])). 61.66/62.14 tff('3030', plain, 61.66/62.14 (e13 != op1(e13, e13) | op1(e13, e13) != e13 | ~ zip_tseitin_6), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_10])). 61.66/62.14 tff('3031', plain, (~ zip_tseitin_6 | e13 != op1(e13, e13)), 61.66/62.14 inference('simplify', [status(thm)], ['3030'])). 61.66/62.14 tff('3032', plain, ~ ( zip_tseitin_6) | ~ (e13 = op1(e13, e13)), 61.66/62.14 inference('split', [status(esa)], ['3031'])). 61.66/62.14 tff('3033', plain, ~ ( zip_tseitin_6) | (e13 = op1(e13, e13)), 61.66/62.14 inference('split', [status(esa)], ['424'])). 61.66/62.14 tff('3034', plain, ( zip_tseitin_14) <= (( zip_tseitin_14)), 61.66/62.14 inference('split', [status(esa)], ['3017'])). 61.66/62.14 tff('3035', plain, (e10 = op1(e10, e11) | ~ zip_tseitin_14), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_19])). 61.66/62.14 tff('3036', plain, op1(e10, e11) != e10, 61.66/62.14 inference('demod', [status(thm)], ['3', '7'])). 61.66/62.14 tff('3037', plain, ~ zip_tseitin_14, 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['3035', '3036'])). 61.66/62.14 tff('3038', plain, ~ ( zip_tseitin_14), 61.66/62.14 inference('s_sup-', [status(thm)], ['3034', '3037'])). 61.66/62.14 tff('3039', plain, op1(e12, e11) = e13, 61.66/62.14 inference('demod', [status(thm)], ['10', '11'])). 61.66/62.14 tff('3040', plain, (e12 = op1(e12, e11) | ~ zip_tseitin_11), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_6])). 61.66/62.14 tff('3041', plain, (e12 = op1(e12, e11)) <= ((e12 = op1(e12, e11))), 61.66/62.14 inference('split', [status(esa)], ['3040'])). 61.66/62.14 tff('3042', plain, (e12 = e13) <= ((e12 = op1(e12, e11))), 61.66/62.14 inference('s_sup+', [status(thm)], ['3039', '3041'])). 61.66/62.14 tff('3043', plain, e13 != e12, inference('cnf', [status(esa)], [ax7])). 61.66/62.14 tff('3044', plain, ~ (e12 = op1(e12, e11)), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['3042', '3043'])). 61.66/62.14 tff('3045', plain, ~ ( zip_tseitin_11) | (e12 = op1(e12, e11)), 61.66/62.14 inference('split', [status(esa)], ['3040'])). 61.66/62.14 tff('3046', plain, ( zip_tseitin_8) <= (( zip_tseitin_8)), 61.66/62.14 inference('split', [status(esa)], ['3017'])). 61.66/62.14 tff('3047', plain, (e13 = op1(e13, e11) | ~ zip_tseitin_8), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_119])). 61.66/62.14 tff('3048', plain, e13 != op1(e13, e11), 61.66/62.14 inference('demod', [status(thm)], ['172', '173'])). 61.66/62.14 tff('3049', plain, ~ zip_tseitin_8, 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['3047', '3048'])). 61.66/62.14 tff('3050', plain, ~ ( zip_tseitin_8), 61.66/62.14 inference('s_sup-', [status(thm)], ['3046', '3049'])). 61.66/62.14 tff('3051', plain, (op1(e11, e11) = e11 | ~ zip_tseitin_2), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_127])). 61.66/62.14 tff('3052', plain, (op1(e11, e11) = e11) <= ((op1(e11, e11) = e11)), 61.66/62.14 inference('split', [status(esa)], ['3051'])). 61.66/62.14 tff('3053', plain, e10 = op1(e11, e11), 61.66/62.14 inference('demod', [status(thm)], ['4', '5', '6'])). 61.66/62.14 tff('3054', plain, (e10 = e11) <= ((op1(e11, e11) = e11)), 61.66/62.14 inference('s_sup+', [status(thm)], ['3052', '3053'])). 61.66/62.14 tff('3055', plain, e10 != e11, inference('cnf', [status(esa)], [ax7])). 61.66/62.14 tff('3056', plain, ~ (op1(e11, e11) = e11), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['3054', '3055'])). 61.66/62.14 tff('3057', plain, ~ ( zip_tseitin_2) | (op1(e11, e11) = e11), 61.66/62.14 inference('split', [status(esa)], ['3051'])). 61.66/62.14 tff('3058', plain, ~ ( zip_tseitin_12) | (op1(e13, e11) = e11), 61.66/62.14 inference('split', [status(esa)], ['42'])). 61.66/62.14 tff('3059', plain, (e11 = op1(e10, e11)) <= ((e11 = op1(e10, e11))), 61.66/62.14 inference('split', [status(esa)], ['297'])). 61.66/62.14 tff('3060', plain, (e12 = op1(e10, e11)) <= ((e12 = op1(e10, e11))), 61.66/62.14 inference('split', [status(esa)], ['14'])). 61.66/62.14 tff('3061', plain, 61.66/62.14 (e12 = e11) <= ((e11 = op1(e10, e11)) & (e12 = op1(e10, e11))), 61.66/62.14 inference('s_sup+', [status(thm)], ['3059', '3060'])). 61.66/62.14 tff('3062', plain, e12 != e11, inference('cnf', [status(esa)], [ax7])). 61.66/62.14 tff('3063', plain, ~ (e11 = op1(e10, e11)) | ~ (e12 = op1(e10, e11)), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['3061', '3062'])). 61.66/62.14 tff('3064', plain, ~ ( zip_tseitin_5) | (e12 = op1(e13, e12)), 61.66/62.14 inference('split', [status(esa)], ['414'])). 61.66/62.14 tff('3065', plain, 61.66/62.14 (op1(e10, e11) = e11 61.66/62.14 | e11 = op1(e10, e13) 61.66/62.14 | e11 = op1(e10, e12) 61.66/62.14 | op1(e10, e10) = e11), 61.66/62.14 inference('cnf', [status(esa)], [ax2])). 61.66/62.14 tff('3066', plain, 61.66/62.14 (e11 = op1(e10, e13)) | (e11 = op1(e10, e10)) | (e11 = op1(e10, e11)) | 61.66/62.14 (e11 = op1(e10, e12)), inference('split', [status(esa)], ['3065'])). 61.66/62.14 tff('3067', plain, (e11 = op1(e10, e12)) <= ((e11 = op1(e10, e12))), 61.66/62.14 inference('split', [status(esa)], ['2997'])). 61.66/62.14 tff('3068', plain, op1(e10, e12) != e11, 61.66/62.14 inference('demod', [status(thm)], ['1561', '1562'])). 61.66/62.14 tff('3069', plain, ~ (e11 = op1(e10, e12)), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['3067', '3068'])). 61.66/62.14 tff('3070', plain, (op1(e10, e10) = e13) <= ((e13 = op1(e10, e10))), 61.66/62.14 inference('split', [status(esa)], ['230'])). 61.66/62.14 tff('3071', plain, (op1(e10, e10) = e11) <= ((e11 = op1(e10, e10))), 61.66/62.14 inference('split', [status(esa)], ['230'])). 61.66/62.14 tff('3072', plain, 61.66/62.14 (e13 = e11) <= ((e11 = op1(e10, e10)) & (e13 = op1(e10, e10))), 61.66/62.14 inference('s_sup+', [status(thm)], ['3070', '3071'])). 61.66/62.14 tff('3073', plain, e13 != e11, inference('cnf', [status(esa)], [ax7])). 61.66/62.14 tff('3074', plain, ~ (e11 = op1(e10, e10)) | ~ (e13 = op1(e10, e10)), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['3072', '3073'])). 61.66/62.14 tff('3075', plain, 61.66/62.14 (op1(e10, e10) != e13 | op1(e10, e13) != e10 | ~ zip_tseitin_4), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_2])). 61.66/62.14 tff('3076', plain, 61.66/62.14 ~ ( zip_tseitin_4) | ~ (e13 = op1(e10, e10)) | ~ (op1(e10, e13) = e10), 61.66/62.14 inference('split', [status(esa)], ['3075'])). 61.66/62.14 tff('3077', plain, 61.66/62.14 (e13 = op1(e10, e11) 61.66/62.14 | op1(e10, e12) = e13 61.66/62.14 | e13 = op1(e10, e13) 61.66/62.14 | op1(e10, e10) = e13), 61.66/62.14 inference('cnf', [status(esa)], [ax2])). 61.66/62.14 tff('3078', plain, e13 != op1(e10, e11), 61.66/62.14 inference('demod', [status(thm)], ['9', '12'])). 61.66/62.14 tff('3079', plain, 61.66/62.14 (op1(e10, e12) = e13 | e13 = op1(e10, e13) | op1(e10, e10) = e13), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['3077', '3078'])). 61.66/62.14 tff('3080', plain, 61.66/62.14 (e13 = op1(e10, e10)) | (op1(e10, e13) = e13) | (op1(e10, e12) = e13), 61.66/62.14 inference('split', [status(esa)], ['3079'])). 61.66/62.14 tff('3081', plain, 61.66/62.14 (e12 = op1(e10, e11) 61.66/62.14 | e13 = op1(e10, e11) 61.66/62.14 | e11 = op1(e10, e11) 61.66/62.14 | e10 = op1(e10, e11)), 61.66/62.14 inference('cnf', [status(esa)], [ax1])). 61.66/62.14 tff('3082', plain, (e13 = op1(e10, e11)) <= ((e13 = op1(e10, e11))), 61.66/62.14 inference('split', [status(esa)], ['3081'])). 61.66/62.14 tff('3083', plain, e13 != op1(e10, e11), 61.66/62.14 inference('demod', [status(thm)], ['9', '12'])). 61.66/62.14 tff('3084', plain, ~ (e13 = op1(e10, e11)), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['3082', '3083'])). 61.66/62.14 tff('3085', plain, 61.66/62.14 (e10 != op1(e10, e13) | e13 != op1(e10, e10) | ~ zip_tseitin_1), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_4])). 61.66/62.14 tff('3086', plain, 61.66/62.14 ~ (op1(e10, e13) = e10) | ~ ( zip_tseitin_1) | ~ (e13 = op1(e10, e10)), 61.66/62.14 inference('split', [status(esa)], ['3085'])). 61.66/62.14 tff('3087', plain, 61.66/62.14 (op1(e10, e12) = e10 61.66/62.14 | op1(e10, e13) = e10 61.66/62.14 | e10 = op1(e10, e11) 61.66/62.14 | op1(e10, e10) = e10), 61.66/62.14 inference('cnf', [status(esa)], [ax2])). 61.66/62.14 tff('3088', plain, op1(e10, e11) != e10, 61.66/62.14 inference('demod', [status(thm)], ['3', '7'])). 61.66/62.14 tff('3089', plain, 61.66/62.14 (op1(e10, e12) = e10 | op1(e10, e13) = e10 | op1(e10, e10) = e10), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['3087', '3088'])). 61.66/62.14 tff('3090', plain, 61.66/62.14 (e10 = op1(e10, e12)) | (e10 = op1(e10, e10)) | (op1(e10, e13) = e10), 61.66/62.14 inference('split', [status(esa)], ['3089'])). 61.66/62.14 tff('3091', plain, (e12 = op1(e10, e12)) <= ((e12 = op1(e10, e12))), 61.66/62.14 inference('split', [status(esa)], ['29'])). 61.66/62.14 tff('3092', plain, (op1(e10, e12) = e13) <= ((op1(e10, e12) = e13)), 61.66/62.14 inference('split', [status(esa)], ['1564'])). 61.66/62.14 tff('3093', plain, 61.66/62.14 (e12 = e13) <= ((e12 = op1(e10, e12)) & (op1(e10, e12) = e13)), 61.66/62.14 inference('s_sup+', [status(thm)], ['3091', '3092'])). 61.66/62.14 tff('3094', plain, e13 != e12, inference('cnf', [status(esa)], [ax7])). 61.66/62.14 tff('3095', plain, ~ (e12 = op1(e10, e12)) | ~ (op1(e10, e12) = e13), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['3093', '3094'])). 61.66/62.14 tff('3096', plain, (e12 = op1(e10, e12)) <= ((e12 = op1(e10, e12))), 61.66/62.14 inference('split', [status(esa)], ['29'])). 61.66/62.14 tff('3097', plain, (e10 = op1(e10, e12)) <= ((e10 = op1(e10, e12))), 61.66/62.14 inference('split', [status(esa)], ['215'])). 61.66/62.14 tff('3098', plain, 61.66/62.14 (e10 = e12) <= ((e10 = op1(e10, e12)) & (e12 = op1(e10, e12))), 61.66/62.14 inference('s_sup+', [status(thm)], ['3096', '3097'])). 61.66/62.14 tff('3099', plain, e10 != e12, inference('cnf', [status(esa)], [ax7])). 61.66/62.14 tff('3100', plain, ~ (e12 = op1(e10, e12)) | ~ (e10 = op1(e10, e12)), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['3098', '3099'])). 61.66/62.14 tff('3101', plain, 61.66/62.14 (e13 = op1(e13, e13) 61.66/62.14 | op1(e13, e12) = e13 61.66/62.14 | op1(e13, e11) = e13 61.66/62.14 | e13 = op1(e13, e10)), 61.66/62.14 inference('cnf', [status(esa)], [ax2])). 61.66/62.14 tff('3102', plain, 61.66/62.14 (op1(e13, e12) = e13) | (e13 = op1(e13, e13)) | (op1(e13, e10) = e13) | 61.66/62.14 (op1(e13, e11) = e13), inference('split', [status(esa)], ['3101'])). 61.66/62.14 tff('3103', plain, (e12 = op1(e13, e12)) <= ((e12 = op1(e13, e12))), 61.66/62.14 inference('split', [status(esa)], ['414'])). 61.66/62.14 tff('3104', plain, (op1(e13, e12) = e10) <= ((op1(e13, e12) = e10)), 61.66/62.14 inference('split', [status(esa)], ['320'])). 61.66/62.14 tff('3105', plain, 61.66/62.14 (e12 = e10) <= ((e12 = op1(e13, e12)) & (op1(e13, e12) = e10)), 61.66/62.14 inference('s_sup+', [status(thm)], ['3103', '3104'])). 61.66/62.14 tff('3106', plain, e10 != e12, inference('cnf', [status(esa)], [ax7])). 61.66/62.14 tff('3107', plain, ~ (e12 = op1(e13, e12)) | ~ (op1(e13, e12) = e10), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['3105', '3106'])). 61.66/62.14 tff('3108', plain, (op1(e13, e12) = e10) <= ((op1(e13, e12) = e10)), 61.66/62.14 inference('split', [status(esa)], ['320'])). 61.66/62.14 tff('3109', plain, (e13 = op1(e13, e12)) <= ((op1(e13, e12) = e13)), 61.66/62.14 inference('split', [status(esa)], ['320'])). 61.66/62.14 tff('3110', plain, 61.66/62.14 (e13 = e10) <= ((op1(e13, e12) = e13) & (op1(e13, e12) = e10)), 61.66/62.14 inference('s_sup+', [status(thm)], ['3108', '3109'])). 61.66/62.14 tff('3111', plain, e13 != e10, inference('cnf', [status(esa)], [ax7])). 61.66/62.14 tff('3112', plain, ~ (op1(e13, e12) = e10) | ~ (op1(e13, e12) = e13), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['3110', '3111'])). 61.66/62.14 tff('3113', plain, (e10 = op1(e12, e10)) <= ((e10 = op1(e12, e10))), 61.66/62.14 inference('split', [status(esa)], ['889'])). 61.66/62.14 tff('3114', plain, (op1(e13, e10) = e10) <= ((op1(e13, e10) = e10)), 61.66/62.14 inference('split', [status(esa)], ['245'])). 61.66/62.14 tff('3115', plain, op1(e13, e10) != op1(e12, e10), 61.66/62.14 inference('cnf', [status(esa)], [ax5])). 61.66/62.14 tff('3116', plain, (e10 != op1(e12, e10)) <= ((op1(e13, e10) = e10)), 61.66/62.14 inference('s_sup-', [status(thm)], ['3114', '3115'])). 61.66/62.14 tff('3117', plain, 61.66/62.14 (e10 != e10) <= ((op1(e13, e10) = e10) & (e10 = op1(e12, e10))), 61.66/62.14 inference('s_sup-', [status(thm)], ['3113', '3116'])). 61.66/62.14 tff('3118', plain, ~ (e10 = op1(e12, e10)) | ~ (op1(e13, e10) = e10), 61.66/62.14 inference('simplify', [status(thm)], ['3117'])). 61.66/62.14 tff('3119', plain, ~ ( zip_tseitin_15) | (e10 = op1(e10, e10)), 61.66/62.14 inference('split', [status(esa)], ['1683'])). 61.66/62.14 tff('3120', plain, (e10 = op1(e10, e12)) | ~ ( zip_tseitin_13), 61.66/62.14 inference('split', [status(esa)], ['215'])). 61.66/62.14 tff('3121', plain, 61.66/62.14 (op1(e13, e12) = e10 61.66/62.14 | e10 = op1(e12, e12) 61.66/62.14 | e10 = op1(e11, e12) 61.66/62.14 | op1(e10, e12) = e10), 61.66/62.14 inference('cnf', [status(esa)], [ax2])). 61.66/62.14 tff('3122', plain, e11 = op1(e12, e12), 61.66/62.14 inference('cnf', [status(esa)], [ax12])). 61.66/62.14 tff('3123', plain, 61.66/62.14 (op1(e13, e12) = e10 61.66/62.14 | e10 = e11 61.66/62.14 | e10 = op1(e11, e12) 61.66/62.14 | op1(e10, e12) = e10), 61.66/62.14 inference('demod', [status(thm)], ['3121', '3122'])). 61.66/62.14 tff('3124', plain, op1(e11, e12) != e10, 61.66/62.14 inference('demod', [status(thm)], ['1571', '1572'])). 61.66/62.14 tff('3125', plain, e10 != e11, inference('cnf', [status(esa)], [ax7])). 61.66/62.14 tff('3126', plain, (op1(e13, e12) = e10 | op1(e10, e12) = e10), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['3123', '3124', '3125'])). 61.66/62.14 tff('3127', plain, (e10 = op1(e10, e12)) | (op1(e13, e12) = e10), 61.66/62.14 inference('split', [status(esa)], ['3126'])). 61.66/62.14 tff('3128', plain, (op1(e12, e13) = e10) | (op1(e12, e13) = e12), 61.66/62.14 inference('split', [status(esa)], ['282'])). 61.66/62.14 tff('3129', plain, 61.66/62.14 (e10 = op1(e12, e10) 61.66/62.14 | op1(e12, e12) = e10 61.66/62.14 | op1(e12, e13) = e10 61.66/62.14 | op1(e12, e11) = e10), 61.66/62.14 inference('cnf', [status(esa)], [ax2])). 61.66/62.14 tff('3130', plain, e11 = op1(e12, e12), 61.66/62.14 inference('cnf', [status(esa)], [ax12])). 61.66/62.14 tff('3131', plain, op1(e12, e11) = e13, 61.66/62.14 inference('demod', [status(thm)], ['10', '11'])). 61.66/62.14 tff('3132', plain, 61.66/62.14 (e10 = op1(e12, e10) | e11 = e10 | op1(e12, e13) = e10 | e13 = e10), 61.66/62.14 inference('demod', [status(thm)], ['3129', '3130', '3131'])). 61.66/62.14 tff('3133', plain, e13 != e10, inference('cnf', [status(esa)], [ax7])). 61.66/62.14 tff('3134', plain, e10 != e11, inference('cnf', [status(esa)], [ax7])). 61.66/62.14 tff('3135', plain, (e10 = op1(e12, e10) | op1(e12, e13) = e10), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['3132', '3133', '3134'])). 61.66/62.14 tff('3136', plain, (op1(e12, e13) = e10) | (e10 = op1(e12, e10)), 61.66/62.14 inference('split', [status(esa)], ['3135'])). 61.66/62.14 tff('3137', plain, ~ ( zip_tseitin_9) | (op1(e10, e13) = e13), 61.66/62.14 inference('split', [status(esa)], ['956'])). 61.66/62.14 tff('3138', plain, (op1(e10, e13) = e10) <= ((op1(e10, e13) = e10)), 61.66/62.14 inference('split', [status(esa)], ['1670'])). 61.66/62.14 tff('3139', plain, (op1(e10, e10) = e10) <= ((e10 = op1(e10, e10))), 61.66/62.14 inference('split', [status(esa)], ['1683'])). 61.66/62.14 tff('3140', plain, op1(e10, e13) != op1(e10, e10), 61.66/62.14 inference('cnf', [status(esa)], [ax5])). 61.66/62.14 tff('3141', plain, (op1(e10, e13) != e10) <= ((e10 = op1(e10, e10))), 61.66/62.14 inference('s_sup-', [status(thm)], ['3139', '3140'])). 61.66/62.14 tff('3142', plain, 61.66/62.14 (e10 != e10) <= ((op1(e10, e13) = e10) & (e10 = op1(e10, e10))), 61.66/62.14 inference('s_sup-', [status(thm)], ['3138', '3141'])). 61.66/62.14 tff('3143', plain, ~ (op1(e10, e13) = e10) | ~ (e10 = op1(e10, e10)), 61.66/62.14 inference('simplify', [status(thm)], ['3142'])). 61.66/62.14 tff('3144', plain, (e10 = op1(e10, e12)) <= ((e10 = op1(e10, e12))), 61.66/62.14 inference('split', [status(esa)], ['215'])). 61.66/62.14 tff('3145', plain, (op1(e10, e13) = e10) <= ((op1(e10, e13) = e10)), 61.66/62.14 inference('split', [status(esa)], ['1670'])). 61.66/62.14 tff('3146', plain, op1(e10, e12) != op1(e10, e13), 61.66/62.14 inference('cnf', [status(esa)], [ax5])). 61.66/62.14 tff('3147', plain, (op1(e10, e12) != e10) <= ((op1(e10, e13) = e10)), 61.66/62.14 inference('s_sup-', [status(thm)], ['3145', '3146'])). 61.66/62.14 tff('3148', plain, 61.66/62.14 (e10 != e10) <= ((op1(e10, e13) = e10) & (e10 = op1(e10, e12))), 61.66/62.14 inference('s_sup-', [status(thm)], ['3144', '3147'])). 61.66/62.14 tff('3149', plain, ~ (op1(e10, e13) = e10) | ~ (e10 = op1(e10, e12)), 61.66/62.14 inference('simplify', [status(thm)], ['3148'])). 61.66/62.14 tff('3150', plain, (op1(e12, e13) = e10) <= ((op1(e12, e13) = e10)), 61.66/62.14 inference('split', [status(esa)], ['282'])). 61.66/62.14 tff('3151', plain, (op1(e10, e13) = e10) <= ((op1(e10, e13) = e10)), 61.66/62.14 inference('split', [status(esa)], ['1670'])). 61.66/62.14 tff('3152', plain, op1(e10, e13) != op1(e12, e13), 61.66/62.14 inference('cnf', [status(esa)], [ax5])). 61.66/62.14 tff('3153', plain, (e10 != op1(e12, e13)) <= ((op1(e10, e13) = e10)), 61.66/62.14 inference('s_sup-', [status(thm)], ['3151', '3152'])). 61.66/62.14 tff('3154', plain, 61.66/62.14 (e10 != e10) <= ((op1(e10, e13) = e10) & (op1(e12, e13) = e10)), 61.66/62.14 inference('s_sup-', [status(thm)], ['3150', '3153'])). 61.66/62.14 tff('3155', plain, ~ (op1(e10, e13) = e10) | ~ (op1(e12, e13) = e10), 61.66/62.14 inference('simplify', [status(thm)], ['3154'])). 61.66/62.14 tff('3156', plain, (op1(e10, e13) = e10) <= ((op1(e10, e13) = e10)), 61.66/62.14 inference('split', [status(esa)], ['1670'])). 61.66/62.14 tff('3157', plain, (op1(e10, e13) = e13) <= ((op1(e10, e13) = e13)), 61.66/62.14 inference('split', [status(esa)], ['956'])). 61.66/62.14 tff('3158', plain, 61.66/62.14 (e10 = e13) <= ((op1(e10, e13) = e10) & (op1(e10, e13) = e13)), 61.66/62.14 inference('s_sup+', [status(thm)], ['3156', '3157'])). 61.66/62.14 tff('3159', plain, e13 != e10, inference('cnf', [status(esa)], [ax7])). 61.66/62.14 tff('3160', plain, ~ (op1(e10, e13) = e10) | ~ (op1(e10, e13) = e13), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['3158', '3159'])). 61.66/62.14 tff('3161', plain, (op1(e10, e13) = e10) <= ((op1(e10, e13) = e10)), 61.66/62.14 inference('split', [status(esa)], ['1670'])). 61.66/62.14 tff('3162', plain, (op1(e10, e13) = e12) <= ((op1(e10, e13) = e12)), 61.66/62.14 inference('split', [status(esa)], ['0'])). 61.66/62.14 tff('3163', plain, 61.66/62.14 (e10 = e12) <= ((op1(e10, e13) = e10) & (op1(e10, e13) = e12)), 61.66/62.14 inference('s_sup+', [status(thm)], ['3161', '3162'])). 61.66/62.14 tff('3164', plain, e10 != e12, inference('cnf', [status(esa)], [ax7])). 61.66/62.14 tff('3165', plain, ~ (op1(e10, e13) = e10) | ~ (op1(e10, e13) = e12), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['3163', '3164'])). 61.66/62.14 tff('3166', plain, (op1(e10, e13) = e10) <= ((op1(e10, e13) = e10)), 61.66/62.14 inference('split', [status(esa)], ['1670'])). 61.66/62.14 tff('3167', plain, (e11 = op1(e10, e13)) <= ((e11 = op1(e10, e13))), 61.66/62.14 inference('split', [status(esa)], ['0'])). 61.66/62.14 tff('3168', plain, 61.66/62.14 (e11 = e10) <= ((op1(e10, e13) = e10) & (e11 = op1(e10, e13))), 61.66/62.14 inference('s_sup+', [status(thm)], ['3166', '3167'])). 61.66/62.14 tff('3169', plain, e10 != e11, inference('cnf', [status(esa)], [ax7])). 61.66/62.14 tff('3170', plain, ~ (op1(e10, e13) = e10) | ~ (e11 = op1(e10, e13)), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['3168', '3169'])). 61.66/62.14 tff('3171', plain, (e22 = h1(e11)) <= ((h1(e11) = e22)), 61.66/62.14 inference('split', [status(esa)], ['50'])). 61.66/62.14 tff('3172', plain, (op1(e10, e10) = e12) <= ((e12 = op1(e10, e10))), 61.66/62.14 inference('split', [status(esa)], ['230'])). 61.66/62.14 tff('3173', plain, 61.66/62.14 (h2(e10) != h3(op1(e10, e10))) 61.66/62.14 <= (~ (op2(h3(e10), h3(e10)) = h3(op1(e10, e10)))), 61.66/62.14 inference('demod', [status(thm)], ['506', '507', '508', '515'])). 61.66/62.14 tff('3174', plain, 61.66/62.14 (h2(e10) != h3(e12)) 61.66/62.14 <= (~ (op2(h3(e10), h3(e10)) = h3(op1(e10, e10))) & 61.66/62.14 (e12 = op1(e10, e10))), 61.66/62.14 inference('s_sup-', [status(thm)], ['3172', '3173'])). 61.66/62.14 tff('3175', plain, h3(e12) = e22, inference('cnf', [status(esa)], [ax16])). 61.66/62.14 tff('3176', plain, 61.66/62.14 (h2(e10) != e22) 61.66/62.14 <= (~ (op2(h3(e10), h3(e10)) = h3(op1(e10, e10))) & 61.66/62.14 (e12 = op1(e10, e10))), 61.66/62.14 inference('demod', [status(thm)], ['3174', '3175'])). 61.66/62.14 tff('3177', plain, h1(e11) = h2(e10), 61.66/62.14 inference('s_sup+', [status(thm)], ['520', '521'])). 61.66/62.14 tff('3178', plain, 61.66/62.14 (h1(e11) != e22) 61.66/62.14 <= (~ (op2(h3(e10), h3(e10)) = h3(op1(e10, e10))) & 61.66/62.14 (e12 = op1(e10, e10))), 61.66/62.14 inference('demod', [status(thm)], ['3176', '3177'])). 61.66/62.14 tff('3179', plain, 61.66/62.14 (e22 != e22) 61.66/62.14 <= (~ (op2(h3(e10), h3(e10)) = h3(op1(e10, e10))) & 61.66/62.14 (e12 = op1(e10, e10)) & 61.66/62.14 (h1(e11) = e22)), 61.66/62.14 inference('s_sup-', [status(thm)], ['3171', '3178'])). 61.66/62.14 tff('3180', plain, 61.66/62.14 (op2(h3(e10), h3(e10)) = h3(op1(e10, e10))) | ~ (e12 = op1(e10, e10)) | 61.66/62.14 ~ (h1(e11) = e22), inference('simplify', [status(thm)], ['3179'])). 61.66/62.14 tff('3181', plain, 61.66/62.14 (op1(e10, e11) = e12 61.66/62.14 | op1(e13, e11) = e12 61.66/62.14 | e12 = op1(e12, e11) 61.66/62.14 | e12 = op1(e11, e11)), 61.66/62.14 inference('cnf', [status(esa)], [ax2])). 61.66/62.14 tff('3182', plain, op1(e12, e11) = e13, 61.66/62.14 inference('demod', [status(thm)], ['10', '11'])). 61.66/62.14 tff('3183', plain, e10 = op1(e11, e11), 61.66/62.14 inference('demod', [status(thm)], ['4', '5', '6'])). 61.66/62.14 tff('3184', plain, 61.66/62.14 (op1(e10, e11) = e12 | op1(e13, e11) = e12 | e12 = e13 | e12 = e10), 61.66/62.14 inference('demod', [status(thm)], ['3181', '3182', '3183'])). 61.66/62.14 tff('3185', plain, e10 != e12, inference('cnf', [status(esa)], [ax7])). 61.66/62.14 tff('3186', plain, e13 != e12, inference('cnf', [status(esa)], [ax7])). 61.66/62.14 tff('3187', plain, (op1(e10, e11) = e12 | op1(e13, e11) = e12), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['3184', '3185', '3186'])). 61.66/62.14 tff('3188', plain, (e12 = op1(e10, e11)) | (op1(e13, e11) = e12), 61.66/62.14 inference('split', [status(esa)], ['3187'])). 61.66/62.14 tff('3189', plain, (op1(e10, e10) = e10) <= ((e10 = op1(e10, e10))), 61.66/62.14 inference('split', [status(esa)], ['1683'])). 61.66/62.14 tff('3190', plain, (op1(e10, e10) = e12) <= ((e12 = op1(e10, e10))), 61.66/62.14 inference('split', [status(esa)], ['230'])). 61.66/62.14 tff('3191', plain, 61.66/62.14 (e10 = e12) <= ((e12 = op1(e10, e10)) & (e10 = op1(e10, e10))), 61.66/62.14 inference('s_sup+', [status(thm)], ['3189', '3190'])). 61.66/62.14 tff('3192', plain, e10 != e12, inference('cnf', [status(esa)], [ax7])). 61.66/62.14 tff('3193', plain, ~ (e10 = op1(e10, e10)) | ~ (e12 = op1(e10, e10)), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['3191', '3192'])). 61.66/62.14 tff('3194', plain, (e12 = op1(e10, e11)) <= ((e12 = op1(e10, e11))), 61.66/62.14 inference('split', [status(esa)], ['14'])). 61.66/62.14 tff('3195', plain, (op1(e10, e10) = e12) <= ((e12 = op1(e10, e10))), 61.66/62.14 inference('split', [status(esa)], ['230'])). 61.66/62.14 tff('3196', plain, op1(e10, e10) != op1(e10, e11), 61.66/62.14 inference('cnf', [status(esa)], [ax5])). 61.66/62.14 tff('3197', plain, (e12 != op1(e10, e11)) <= ((e12 = op1(e10, e10))), 61.66/62.14 inference('s_sup-', [status(thm)], ['3195', '3196'])). 61.66/62.14 tff('3198', plain, 61.66/62.14 (e12 != e12) <= ((e12 = op1(e10, e10)) & (e12 = op1(e10, e11))), 61.66/62.14 inference('s_sup-', [status(thm)], ['3194', '3197'])). 61.66/62.14 tff('3199', plain, ~ (e12 = op1(e10, e10)) | ~ (e12 = op1(e10, e11)), 61.66/62.14 inference('simplify', [status(thm)], ['3198'])). 61.66/62.14 tff('3200', plain, (op1(e13, e11) = e11) <= ((op1(e13, e11) = e11)), 61.66/62.14 inference('split', [status(esa)], ['42'])). 61.66/62.14 tff('3201', plain, (op1(e13, e11) = e12) <= ((op1(e13, e11) = e12)), 61.66/62.14 inference('split', [status(esa)], ['175'])). 61.66/62.14 tff('3202', plain, 61.66/62.14 (e11 = e12) <= ((op1(e13, e11) = e11) & (op1(e13, e11) = e12)), 61.66/62.14 inference('s_sup+', [status(thm)], ['3200', '3201'])). 61.66/62.14 tff('3203', plain, e12 != e11, inference('cnf', [status(esa)], [ax7])). 61.66/62.14 tff('3204', plain, ~ (op1(e13, e11) = e12) | ~ (op1(e13, e11) = e11), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['3202', '3203'])). 61.66/62.14 tff('3205', plain, (op1(e10, e10) = e13 | ~ zip_tseitin_30), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_11])). 61.66/62.14 tff('3206', plain, ~ ( zip_tseitin_30) | (e13 = op1(e10, e10)), 61.66/62.14 inference('split', [status(esa)], ['3205'])). 61.66/62.14 tff('3207', plain, (op1(e13, e10) = e13) <= ((op1(e13, e10) = e13)), 61.66/62.14 inference('split', [status(esa)], ['767'])). 61.66/62.14 tff('3208', plain, (op1(e10, e10) = e13) <= ((e13 = op1(e10, e10))), 61.66/62.14 inference('split', [status(esa)], ['230'])). 61.66/62.14 tff('3209', plain, op1(e10, e10) != op1(e13, e10), 61.66/62.14 inference('cnf', [status(esa)], [ax5])). 61.66/62.14 tff('3210', plain, (e13 != op1(e13, e10)) <= ((e13 = op1(e10, e10))), 61.66/62.14 inference('s_sup-', [status(thm)], ['3208', '3209'])). 61.66/62.14 tff('3211', plain, 61.66/62.14 (e13 != e13) <= ((op1(e13, e10) = e13) & (e13 = op1(e10, e10))), 61.66/62.14 inference('s_sup-', [status(thm)], ['3207', '3210'])). 61.66/62.14 tff('3212', plain, ~ (op1(e13, e10) = e13) | ~ (e13 = op1(e10, e10)), 61.66/62.14 inference('simplify', [status(thm)], ['3211'])). 61.66/62.14 tff('3213', plain, (op1(e13, e10) = e13) <= ((op1(e13, e10) = e13)), 61.66/62.14 inference('split', [status(esa)], ['767'])). 61.66/62.14 tff('3214', plain, (op1(e13, e10) = e11) <= ((op1(e13, e10) = e11)), 61.66/62.14 inference('split', [status(esa)], ['749'])). 61.66/62.14 tff('3215', plain, 61.66/62.14 (e13 = e11) <= ((op1(e13, e10) = e13) & (op1(e13, e10) = e11)), 61.66/62.14 inference('s_sup+', [status(thm)], ['3213', '3214'])). 61.66/62.14 tff('3216', plain, e13 != e11, inference('cnf', [status(esa)], [ax7])). 61.66/62.14 tff('3217', plain, ~ (op1(e13, e10) = e13) | ~ (op1(e13, e10) = e11), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['3215', '3216'])). 61.66/62.14 tff('3218', plain, (op1(e13, e13) = e13) <= ((e13 = op1(e13, e13))), 61.66/62.14 inference('split', [status(esa)], ['424'])). 61.66/62.14 tff('3219', plain, (e10 = op1(e13, e13)) <= ((op1(e13, e13) = e10)), 61.66/62.14 inference('split', [status(esa)], ['1082'])). 61.66/62.14 tff('3220', plain, 61.66/62.14 (e10 = e13) <= ((op1(e13, e13) = e10) & (e13 = op1(e13, e13))), 61.66/62.14 inference('s_sup+', [status(thm)], ['3218', '3219'])). 61.66/62.14 tff('3221', plain, e13 != e10, inference('cnf', [status(esa)], [ax7])). 61.66/62.14 tff('3222', plain, ~ (e13 = op1(e13, e13)) | ~ (op1(e13, e13) = e10), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['3220', '3221'])). 61.66/62.14 tff('3223', plain, 61.66/62.14 (op1(e11, e10) = e11 | e10 != op1(e11, e11) | ~ zip_tseitin_19), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_15])). 61.66/62.14 tff('3224', plain, e10 = op1(e11, e11), 61.66/62.14 inference('demod', [status(thm)], ['4', '5', '6'])). 61.66/62.14 tff('3225', plain, (op1(e11, e10) = e11 | e10 != e10 | ~ zip_tseitin_19), 61.66/62.14 inference('demod', [status(thm)], ['3223', '3224'])). 61.66/62.14 tff('3226', plain, (~ zip_tseitin_19 | op1(e11, e10) = e11), 61.66/62.14 inference('simplify', [status(thm)], ['3225'])). 61.66/62.14 tff('3227', plain, ~ ( zip_tseitin_19) | (op1(e11, e10) = e11), 61.66/62.14 inference('split', [status(esa)], ['3226'])). 61.66/62.14 tff('3228', plain, 61.66/62.14 (op1(e11, e11) != e10 | e11 = op1(e11, e10) | ~ zip_tseitin_29), 61.66/62.14 inference('cnf', [status(esa)], [zf_stmt_87])). 61.66/62.14 tff('3229', plain, e10 = op1(e11, e11), 61.66/62.14 inference('demod', [status(thm)], ['4', '5', '6'])). 61.66/62.14 tff('3230', plain, (e10 != e10 | e11 = op1(e11, e10) | ~ zip_tseitin_29), 61.66/62.14 inference('demod', [status(thm)], ['3228', '3229'])). 61.66/62.14 tff('3231', plain, (~ zip_tseitin_29 | e11 = op1(e11, e10)), 61.66/62.14 inference('simplify', [status(thm)], ['3230'])). 61.66/62.14 tff('3232', plain, ~ ( zip_tseitin_29) | (op1(e11, e10) = e11), 61.66/62.14 inference('split', [status(esa)], ['3231'])). 61.66/62.14 tff('3233', plain, (op1(e11, e10) = e11) <= ((op1(e11, e10) = e11)), 61.66/62.14 inference('split', [status(esa)], ['67'])). 61.66/62.14 tff('3234', plain, (op1(e11, e10) = e12) <= ((op1(e11, e10) = e12)), 61.66/62.14 inference('split', [status(esa)], ['758'])). 61.66/62.14 tff('3235', plain, 61.66/62.14 (e11 = e12) <= ((op1(e11, e10) = e11) & (op1(e11, e10) = e12)), 61.66/62.14 inference('s_sup+', [status(thm)], ['3233', '3234'])). 61.66/62.14 tff('3236', plain, e12 != e11, inference('cnf', [status(esa)], [ax7])). 61.66/62.14 tff('3237', plain, ~ (op1(e11, e10) = e12) | ~ (op1(e11, e10) = e11), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['3235', '3236'])). 61.66/62.14 tff('3238', plain, (op1(e12, e13) = e12) <= ((op1(e12, e13) = e12)), 61.66/62.14 inference('split', [status(esa)], ['27'])). 61.66/62.14 tff('3239', plain, (op1(e12, e13) = e10) <= ((op1(e12, e13) = e10)), 61.66/62.14 inference('split', [status(esa)], ['282'])). 61.66/62.14 tff('3240', plain, 61.66/62.14 (e12 = e10) <= ((op1(e12, e13) = e12) & (op1(e12, e13) = e10)), 61.66/62.14 inference('s_sup+', [status(thm)], ['3238', '3239'])). 61.66/62.14 tff('3241', plain, e10 != e12, inference('cnf', [status(esa)], [ax7])). 61.66/62.14 tff('3242', plain, ~ (op1(e12, e13) = e12) | ~ (op1(e12, e13) = e10), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['3240', '3241'])). 61.66/62.14 tff('3243', plain, 61.66/62.14 (e12 = op1(e12, e10) 61.66/62.14 | op1(e13, e10) = e12 61.66/62.14 | op1(e11, e10) = e12 61.66/62.14 | op1(e10, e10) = e12), 61.66/62.14 inference('cnf', [status(esa)], [ax2])). 61.66/62.14 tff('3244', plain, 61.66/62.14 (e12 = op1(e12, e10)) | (e12 = op1(e13, e10)) | (e12 = op1(e10, e10)) | 61.66/62.14 (op1(e11, e10) = e12), inference('split', [status(esa)], ['3243'])). 61.66/62.14 tff('3245', plain, 61.66/62.14 (e12 = op1(e12, e13) 61.66/62.14 | op1(e12, e12) = e12 61.66/62.14 | op1(e12, e11) = e12 61.66/62.14 | op1(e12, e10) = e12), 61.66/62.14 inference('cnf', [status(esa)], [ax2])). 61.66/62.14 tff('3246', plain, e11 = op1(e12, e12), 61.66/62.14 inference('cnf', [status(esa)], [ax12])). 61.66/62.14 tff('3247', plain, op1(e12, e11) = e13, 61.66/62.14 inference('demod', [status(thm)], ['10', '11'])). 61.66/62.14 tff('3248', plain, 61.66/62.14 (e12 = op1(e12, e13) | e11 = e12 | e13 = e12 | op1(e12, e10) = e12), 61.66/62.14 inference('demod', [status(thm)], ['3245', '3246', '3247'])). 61.66/62.14 tff('3249', plain, e13 != e12, inference('cnf', [status(esa)], [ax7])). 61.66/62.14 tff('3250', plain, e12 != e11, inference('cnf', [status(esa)], [ax7])). 61.66/62.14 tff('3251', plain, (e12 = op1(e12, e13) | op1(e12, e10) = e12), 61.66/62.14 inference('simplify_reflect-', [status(thm)], ['3248', '3249', '3250'])). 61.66/62.14 tff('3252', plain, (e12 = op1(e12, e10)) | (op1(e12, e13) = e12), 61.66/62.14 inference('split', [status(esa)], ['3251'])). 61.66/62.14 tff('3253', plain, (e12 = op1(e12, e10)) <= ((e12 = op1(e12, e10))), 61.66/62.14 inference('split', [status(esa)], ['132'])). 61.66/62.14 tff('3254', plain, (e10 = op1(e12, e10)) <= ((e10 = op1(e12, e10))), 61.66/62.15 inference('split', [status(esa)], ['889'])). 61.66/62.15 tff('3255', plain, 61.66/62.15 (e10 = e12) <= ((e12 = op1(e12, e10)) & (e10 = op1(e12, e10))), 61.66/62.15 inference('s_sup+', [status(thm)], ['3253', '3254'])). 61.66/62.15 tff('3256', plain, e10 != e12, inference('cnf', [status(esa)], [ax7])). 61.66/62.15 tff('3257', plain, ~ (e10 = op1(e12, e10)) | ~ (e12 = op1(e12, e10)), 61.66/62.15 inference('simplify_reflect-', [status(thm)], ['3255', '3256'])). 61.66/62.15 tff('3258', plain, 61.66/62.15 (op1(e11, e10) = e10 61.66/62.15 | e10 = op1(e12, e10) 61.66/62.15 | op1(e13, e10) = e10 61.66/62.15 | op1(e10, e10) = e10), 61.66/62.15 inference('cnf', [status(esa)], [ax2])). 61.66/62.15 tff('3259', plain, 61.66/62.15 (op1(e13, e10) = e10) | (e10 = op1(e12, e10)) | (e10 = op1(e10, e10)) | 61.66/62.15 (op1(e11, e10) = e10), inference('split', [status(esa)], ['3258'])). 61.66/62.15 tff('3260', plain, (op1(e11, e10) = e10 | ~ zip_tseitin_14), 61.66/62.15 inference('cnf', [status(esa)], [zf_stmt_19])). 61.66/62.15 tff('3261', plain, (op1(e11, e10) = e10) <= ((op1(e11, e10) = e10)), 61.66/62.15 inference('split', [status(esa)], ['3260'])). 61.66/62.15 tff('3262', plain, e10 != op1(e11, e10), 61.66/62.15 inference('demod', [status(thm)], ['755', '756'])). 61.66/62.15 tff('3263', plain, ~ (op1(e11, e10) = e10), 61.66/62.15 inference('simplify_reflect-', [status(thm)], ['3261', '3262'])). 61.66/62.15 tff('3264', plain, (op1(e13, e10) = e13) <= ((op1(e13, e10) = e13)), 61.66/62.15 inference('split', [status(esa)], ['767'])). 61.66/62.15 tff('3265', plain, (e12 = op1(e13, e10)) <= ((e12 = op1(e13, e10))), 61.66/62.15 inference('split', [status(esa)], ['749'])). 61.66/62.15 tff('3266', plain, 61.66/62.15 (e12 = e13) <= ((op1(e13, e10) = e13) & (e12 = op1(e13, e10))), 61.66/62.15 inference('s_sup+', [status(thm)], ['3264', '3265'])). 61.66/62.15 tff('3267', plain, e13 != e12, inference('cnf', [status(esa)], [ax7])). 61.66/62.15 tff('3268', plain, ~ (e12 = op1(e13, e10)) | ~ (op1(e13, e10) = e13), 61.66/62.15 inference('simplify_reflect-', [status(thm)], ['3266', '3267'])). 61.66/62.15 tff('3269', plain, (op1(e13, e10) = e10) <= ((op1(e13, e10) = e10)), 61.66/62.15 inference('split', [status(esa)], ['245'])). 61.66/62.15 tff('3270', plain, (op1(e13, e10) = e13) <= ((op1(e13, e10) = e13)), 61.66/62.15 inference('split', [status(esa)], ['767'])). 61.66/62.15 tff('3271', plain, 61.66/62.15 (e10 = e13) <= ((op1(e13, e10) = e13) & (op1(e13, e10) = e10)), 61.66/62.15 inference('s_sup+', [status(thm)], ['3269', '3270'])). 61.66/62.15 tff('3272', plain, e13 != e10, inference('cnf', [status(esa)], [ax7])). 61.66/62.15 tff('3273', plain, ~ (op1(e13, e10) = e13) | ~ (op1(e13, e10) = e10), 61.66/62.15 inference('simplify_reflect-', [status(thm)], ['3271', '3272'])). 61.66/62.15 tff('3274', plain, (e13 = op1(e13, e11) | ~ zip_tseitin_8), 61.66/62.15 inference('cnf', [status(esa)], [zf_stmt_119])). 61.66/62.15 tff('3275', plain, (e13 = op1(e13, e11)) <= ((op1(e13, e11) = e13)), 61.66/62.15 inference('split', [status(esa)], ['3274'])). 61.66/62.15 tff('3276', plain, e13 != op1(e13, e11), 61.66/62.15 inference('demod', [status(thm)], ['172', '173'])). 61.66/62.15 tff('3277', plain, ~ (op1(e13, e11) = e13), 61.66/62.15 inference('simplify_reflect-', [status(thm)], ['3275', '3276'])). 61.66/62.15 tff('3278', plain, (e13 = op1(e13, e13) | ~ zip_tseitin_22), 61.66/62.15 inference('cnf', [status(esa)], [zf_stmt_101])). 61.66/62.15 tff('3279', plain, ~ ( zip_tseitin_22) | (e13 = op1(e13, e13)), 61.66/62.15 inference('split', [status(esa)], ['3278'])). 61.66/62.15 tff('3280', plain, (op1(e10, e13) = e13) <= ((op1(e10, e13) = e13)), 61.66/62.15 inference('split', [status(esa)], ['956'])). 61.66/62.15 tff('3281', plain, (op1(e10, e10) = e13) <= ((e13 = op1(e10, e10))), 61.66/62.15 inference('split', [status(esa)], ['230'])). 61.66/62.15 tff('3282', plain, op1(e10, e13) != op1(e10, e10), 61.66/62.15 inference('cnf', [status(esa)], [ax5])). 61.66/62.15 tff('3283', plain, (op1(e10, e13) != e13) <= ((e13 = op1(e10, e10))), 61.66/62.15 inference('s_sup-', [status(thm)], ['3281', '3282'])). 61.66/62.15 tff('3284', plain, 61.66/62.15 (e13 != e13) <= ((e13 = op1(e10, e10)) & (op1(e10, e13) = e13)), 61.66/62.15 inference('s_sup-', [status(thm)], ['3280', '3283'])). 61.66/62.15 tff('3285', plain, ~ (op1(e10, e13) = e13) | ~ (e13 = op1(e10, e10)), 61.66/62.15 inference('simplify', [status(thm)], ['3284'])). 61.66/62.15 tff('3286', plain, (op1(e13, e13) = e13) <= ((e13 = op1(e13, e13))), 61.66/62.15 inference('split', [status(esa)], ['424'])). 61.66/62.15 tff('3287', plain, (op1(e10, e13) = e13) <= ((op1(e10, e13) = e13)), 61.66/62.15 inference('split', [status(esa)], ['956'])). 61.66/62.15 tff('3288', plain, op1(e10, e13) != op1(e13, e13), 61.66/62.15 inference('cnf', [status(esa)], [ax5])). 61.66/62.15 tff('3289', plain, (e13 != op1(e13, e13)) <= ((op1(e10, e13) = e13)), 61.66/62.15 inference('s_sup-', [status(thm)], ['3287', '3288'])). 61.66/62.15 tff('3290', plain, 61.66/62.15 (e13 != e13) <= ((e13 = op1(e13, e13)) & (op1(e10, e13) = e13)), 61.66/62.15 inference('s_sup-', [status(thm)], ['3286', '3289'])). 61.66/62.15 tff('3291', plain, ~ (e13 = op1(e13, e13)) | ~ (op1(e10, e13) = e13), 61.66/62.15 inference('simplify', [status(thm)], ['3290'])). 61.66/62.15 tff('3292', plain, 61.66/62.15 (e13 = op1(e10, e11) 61.66/62.15 | op1(e10, e12) = e13 61.66/62.15 | e13 = op1(e10, e13) 61.66/62.15 | op1(e10, e10) = e13), 61.66/62.15 inference('cnf', [status(esa)], [ax2])). 61.66/62.15 tff('3293', plain, 61.66/62.15 (e13 = op1(e10, e10)) | (op1(e10, e13) = e13) | (op1(e10, e12) = e13) | 61.66/62.15 (e13 = op1(e10, e11)), inference('split', [status(esa)], ['3292'])). 61.66/62.15 tff('3294', plain, 61.66/62.15 (op1(e10, e13) = e10 | op1(e10, e10) != e13 | ~ zip_tseitin_22), 61.66/62.15 inference('cnf', [status(esa)], [zf_stmt_101])). 61.66/62.15 tff('3295', plain, 61.66/62.15 ~ ( zip_tseitin_22) | ~ (e13 = op1(e10, e10)) | (op1(e10, e13) = e10), 61.66/62.15 inference('split', [status(esa)], ['3294'])). 61.66/62.15 tff('3296', plain, (e10 = op1(e13, e13)) <= ((op1(e13, e13) = e10)), 61.66/62.15 inference('split', [status(esa)], ['1082'])). 61.66/62.15 tff('3297', plain, (e12 = op1(e13, e13)) <= ((e12 = op1(e13, e13))), 61.66/62.15 inference('split', [status(esa)], ['2976'])). 61.66/62.15 tff('3298', plain, 61.66/62.15 (e12 = e10) <= ((op1(e13, e13) = e10) & (e12 = op1(e13, e13))), 61.66/62.15 inference('s_sup+', [status(thm)], ['3296', '3297'])). 61.66/62.15 tff('3299', plain, e10 != e12, inference('cnf', [status(esa)], [ax7])). 61.66/62.15 tff('3300', plain, ~ (op1(e13, e13) = e10) | ~ (e12 = op1(e13, e13)), 61.66/62.15 inference('simplify_reflect-', [status(thm)], ['3298', '3299'])). 61.66/62.15 tff('3301', plain, e11 = op1(e12, e12), 61.66/62.15 inference('cnf', [status(esa)], [ax12])). 61.66/62.15 tff('3302', plain, (e12 = op1(e12, e12)) <= ((e12 = op1(e12, e12))), 61.66/62.15 inference('split', [status(esa)], ['3028'])). 61.66/62.15 tff('3303', plain, (e12 = e11) <= ((e12 = op1(e12, e12))), 61.66/62.15 inference('s_sup+', [status(thm)], ['3301', '3302'])). 61.66/62.15 tff('3304', plain, e12 != e11, inference('cnf', [status(esa)], [ax7])). 61.66/62.15 tff('3305', plain, ~ (e12 = op1(e12, e12)), 61.66/62.15 inference('simplify_reflect-', [status(thm)], ['3303', '3304'])). 61.66/62.15 tff('3306', plain, (op1(e12, e12) = e12 | ~ zip_tseitin_18), 61.66/62.15 inference('cnf', [status(esa)], [zf_stmt_106])). 61.66/62.15 tff('3307', plain, ~ ( zip_tseitin_18) | (e12 = op1(e12, e12)), 61.66/62.15 inference('split', [status(esa)], ['3306'])). 61.66/62.15 tff('3308', plain, 61.66/62.15 ( zip_tseitin_31 61.66/62.15 | zip_tseitin_30 61.66/62.15 | zip_tseitin_29 61.66/62.15 | zip_tseitin_28 61.66/62.15 | zip_tseitin_27 61.66/62.15 | zip_tseitin_26 61.66/62.15 | zip_tseitin_25 61.66/62.15 | zip_tseitin_24 61.66/62.15 | zip_tseitin_23 61.66/62.15 | zip_tseitin_22 61.66/62.15 | zip_tseitin_21 61.66/62.15 | zip_tseitin_20 61.66/62.15 | zip_tseitin_19 61.66/62.15 | zip_tseitin_18 61.66/62.15 | zip_tseitin_17 61.66/62.15 | zip_tseitin_16), 61.66/62.15 inference('cnf', [status(esa)], [zf_stmt_130])). 61.66/62.15 tff('3309', plain, ( zip_tseitin_16) <= (( zip_tseitin_16)), 61.66/62.15 inference('split', [status(esa)], ['3308'])). 61.66/62.15 tff('3310', plain, 61.66/62.15 (e12 = op1(e12, e11) | e11 != op1(e12, e12) | ~ zip_tseitin_16), 61.66/62.15 inference('cnf', [status(esa)], [zf_stmt_109])). 61.66/62.15 tff('3311', plain, op1(e12, e11) = e13, 61.66/62.15 inference('demod', [status(thm)], ['10', '11'])). 61.66/62.15 tff('3312', plain, e11 = op1(e12, e12), 61.66/62.15 inference('cnf', [status(esa)], [ax12])). 61.66/62.15 tff('3313', plain, (e12 = e13 | e11 != e11 | ~ zip_tseitin_16), 61.66/62.15 inference('demod', [status(thm)], ['3310', '3311', '3312'])). 61.66/62.15 tff('3314', plain, (~ zip_tseitin_16 | e12 = e13), 61.66/62.15 inference('simplify', [status(thm)], ['3313'])). 61.66/62.15 tff('3315', plain, e13 != e12, inference('cnf', [status(esa)], [ax7])). 61.66/62.15 tff('3316', plain, ~ zip_tseitin_16, 61.66/62.15 inference('simplify_reflect-', [status(thm)], ['3314', '3315'])). 61.66/62.15 tff('3317', plain, ~ ( zip_tseitin_16), 61.66/62.15 inference('s_sup-', [status(thm)], ['3309', '3316'])). 61.66/62.15 tff('3318', plain, ( zip_tseitin_20) <= (( zip_tseitin_20)), 61.66/62.15 inference('split', [status(esa)], ['3308'])). 61.66/62.15 tff('3319', plain, 61.66/62.15 (e11 != op1(e12, e12) | e12 = op1(e12, e11) | ~ zip_tseitin_20), 61.66/62.15 inference('cnf', [status(esa)], [zf_stmt_3])). 61.66/62.15 tff('3320', plain, e11 = op1(e12, e12), 61.66/62.15 inference('cnf', [status(esa)], [ax12])). 61.66/62.15 tff('3321', plain, op1(e12, e11) = e13, 61.66/62.15 inference('demod', [status(thm)], ['10', '11'])). 61.66/62.15 tff('3322', plain, (e11 != e11 | e12 = e13 | ~ zip_tseitin_20), 61.66/62.15 inference('demod', [status(thm)], ['3319', '3320', '3321'])). 61.66/62.15 tff('3323', plain, (~ zip_tseitin_20 | e12 = e13), 61.66/62.15 inference('simplify', [status(thm)], ['3322'])). 61.66/62.15 tff('3324', plain, e13 != e12, inference('cnf', [status(esa)], [ax7])). 61.66/62.15 tff('3325', plain, ~ zip_tseitin_20, 61.66/62.15 inference('simplify_reflect-', [status(thm)], ['3323', '3324'])). 61.66/62.15 tff('3326', plain, ~ ( zip_tseitin_20), 61.66/62.15 inference('s_sup-', [status(thm)], ['3318', '3325'])). 61.66/62.15 tff('3327', plain, e11 = op1(e12, e12), 61.66/62.15 inference('cnf', [status(esa)], [ax12])). 61.66/62.15 tff('3328', plain, (e10 = op1(e12, e12) | ~ zip_tseitin_25), 61.66/62.15 inference('cnf', [status(esa)], [zf_stmt_95])). 61.66/62.15 tff('3329', plain, (e10 = op1(e12, e12)) <= ((e10 = op1(e12, e12))), 61.66/62.15 inference('split', [status(esa)], ['3328'])). 61.66/62.15 tff('3330', plain, (e10 = e11) <= ((e10 = op1(e12, e12))), 61.66/62.15 inference('s_sup+', [status(thm)], ['3327', '3329'])). 61.66/62.15 tff('3331', plain, e10 != e11, inference('cnf', [status(esa)], [ax7])). 61.66/62.15 tff('3332', plain, ~ (e10 = op1(e12, e12)), 61.66/62.15 inference('simplify_reflect-', [status(thm)], ['3330', '3331'])). 61.66/62.15 tff('3333', plain, ~ ( zip_tseitin_25) | (e10 = op1(e12, e12)), 61.66/62.15 inference('split', [status(esa)], ['3328'])). 61.66/62.15 tff('3334', plain, e10 = op1(e11, e11), 61.66/62.15 inference('demod', [status(thm)], ['4', '5', '6'])). 61.66/62.15 tff('3335', plain, (op1(e11, e11) = e13 | ~ zip_tseitin_26), 61.66/62.15 inference('cnf', [status(esa)], [zf_stmt_93])). 61.66/62.15 tff('3336', plain, (op1(e11, e11) = e13) <= ((op1(e11, e11) = e13)), 61.66/62.15 inference('split', [status(esa)], ['3335'])). 61.66/62.15 tff('3337', plain, (e10 = e13) <= ((op1(e11, e11) = e13)), 61.66/62.15 inference('s_sup+', [status(thm)], ['3334', '3336'])). 61.66/62.15 tff('3338', plain, e13 != e10, inference('cnf', [status(esa)], [ax7])). 61.66/62.15 tff('3339', plain, ~ (op1(e11, e11) = e13), 61.66/62.15 inference('simplify_reflect-', [status(thm)], ['3337', '3338'])). 61.66/62.15 tff('3340', plain, ~ ( zip_tseitin_26) | (op1(e11, e11) = e13), 61.66/62.15 inference('split', [status(esa)], ['3335'])). 61.66/62.15 tff('3341', plain, e11 = op1(e12, e12), 61.66/62.15 inference('cnf', [status(esa)], [ax12])). 61.66/62.15 tff('3342', plain, (op1(e12, e12) = e13 | ~ zip_tseitin_23), 61.66/62.15 inference('cnf', [status(esa)], [zf_stmt_99])). 61.66/62.15 tff('3343', plain, (op1(e12, e12) = e13) <= ((op1(e12, e12) = e13)), 61.66/62.15 inference('split', [status(esa)], ['3342'])). 61.66/62.15 tff('3344', plain, (e11 = e13) <= ((op1(e12, e12) = e13)), 61.66/62.15 inference('s_sup+', [status(thm)], ['3341', '3343'])). 61.66/62.15 tff('3345', plain, e13 != e11, inference('cnf', [status(esa)], [ax7])). 61.66/62.15 tff('3346', plain, ~ (op1(e12, e12) = e13), 61.66/62.15 inference('simplify_reflect-', [status(thm)], ['3344', '3345'])). 61.66/62.15 tff('3347', plain, ~ ( zip_tseitin_23) | (op1(e12, e12) = e13), 61.66/62.15 inference('split', [status(esa)], ['3342'])). 61.66/62.15 tff('3348', plain, ( zip_tseitin_28) <= (( zip_tseitin_28)), 61.66/62.15 inference('split', [status(esa)], ['3308'])). 61.66/62.15 tff('3349', plain, 61.66/62.15 (op1(e12, e11) = e12 | e11 != op1(e12, e12) | ~ zip_tseitin_28), 61.66/62.15 inference('cnf', [status(esa)], [zf_stmt_89])). 61.66/62.15 tff('3350', plain, op1(e12, e11) = e13, 61.66/62.15 inference('demod', [status(thm)], ['10', '11'])). 61.66/62.15 tff('3351', plain, e11 = op1(e12, e12), 61.66/62.15 inference('cnf', [status(esa)], [ax12])). 61.66/62.15 tff('3352', plain, (e13 = e12 | e11 != e11 | ~ zip_tseitin_28), 61.66/62.15 inference('demod', [status(thm)], ['3349', '3350', '3351'])). 61.66/62.15 tff('3353', plain, (~ zip_tseitin_28 | e13 = e12), 61.66/62.15 inference('simplify', [status(thm)], ['3352'])). 61.66/62.15 tff('3354', plain, e13 != e12, inference('cnf', [status(esa)], [ax7])). 61.66/62.15 tff('3355', plain, ~ zip_tseitin_28, 61.66/62.15 inference('simplify_reflect-', [status(thm)], ['3353', '3354'])). 61.66/62.15 tff('3356', plain, ~ ( zip_tseitin_28), 61.66/62.15 inference('s_sup-', [status(thm)], ['3348', '3355'])). 61.66/62.15 tff('3357', plain, ( zip_tseitin_24) <= (( zip_tseitin_24)), 61.66/62.15 inference('split', [status(esa)], ['3308'])). 61.66/62.15 tff('3358', plain, 61.66/62.15 (op1(e12, e11) = e12 | e11 != op1(e12, e12) | ~ zip_tseitin_24), 61.66/62.15 inference('cnf', [status(esa)], [zf_stmt_97])). 61.66/62.15 tff('3359', plain, op1(e12, e11) = e13, 61.66/62.15 inference('demod', [status(thm)], ['10', '11'])). 61.66/62.15 tff('3360', plain, e11 = op1(e12, e12), 61.66/62.15 inference('cnf', [status(esa)], [ax12])). 61.66/62.15 tff('3361', plain, (e13 = e12 | e11 != e11 | ~ zip_tseitin_24), 61.66/62.15 inference('demod', [status(thm)], ['3358', '3359', '3360'])). 61.66/62.15 tff('3362', plain, (~ zip_tseitin_24 | e13 = e12), 61.66/62.15 inference('simplify', [status(thm)], ['3361'])). 61.66/62.15 tff('3363', plain, e13 != e12, inference('cnf', [status(esa)], [ax7])). 61.66/62.15 tff('3364', plain, ~ zip_tseitin_24, 61.66/62.15 inference('simplify_reflect-', [status(thm)], ['3362', '3363'])). 61.66/62.15 tff('3365', plain, ~ ( zip_tseitin_24), 61.66/62.15 inference('s_sup-', [status(thm)], ['3357', '3364'])). 61.66/62.15 tff('3366', plain, e10 = op1(e11, e11), 61.66/62.15 inference('demod', [status(thm)], ['4', '5', '6'])). 61.66/62.15 tff('3367', plain, (op1(e11, e11) = e12 | ~ zip_tseitin_27), 61.66/62.15 inference('cnf', [status(esa)], [zf_stmt_91])). 61.66/62.15 tff('3368', plain, (op1(e11, e11) = e12) <= ((op1(e11, e11) = e12)), 61.66/62.15 inference('split', [status(esa)], ['3367'])). 61.66/62.15 tff('3369', plain, (e10 = e12) <= ((op1(e11, e11) = e12)), 61.66/62.15 inference('s_sup+', [status(thm)], ['3366', '3368'])). 61.66/62.15 tff('3370', plain, e10 != e12, inference('cnf', [status(esa)], [ax7])). 61.66/62.15 tff('3371', plain, ~ (op1(e11, e11) = e12), 61.66/62.15 inference('simplify_reflect-', [status(thm)], ['3369', '3370'])). 61.66/62.15 tff('3372', plain, ~ ( zip_tseitin_27) | (op1(e11, e11) = e12), 61.66/62.15 inference('split', [status(esa)], ['3367'])). 61.66/62.15 tff('3373', plain, 61.66/62.15 (e10 != op1(e13, e13) | op1(e13, e10) = e13 | ~ zip_tseitin_19), 61.66/62.15 inference('cnf', [status(esa)], [zf_stmt_15])). 61.66/62.15 tff('3374', plain, 61.66/62.15 ~ ( zip_tseitin_19) | ~ (op1(e13, e13) = e10) | (op1(e13, e10) = e13), 61.66/62.15 inference('split', [status(esa)], ['3373'])). 61.66/62.15 tff('3375', plain, 61.66/62.15 (e13 = op1(e13, e10) | op1(e13, e13) != e10 | ~ zip_tseitin_29), 61.66/62.15 inference('cnf', [status(esa)], [zf_stmt_87])). 61.66/62.15 tff('3376', plain, 61.66/62.15 ~ (op1(e13, e13) = e10) | ~ ( zip_tseitin_29) | (op1(e13, e10) = e13), 61.66/62.15 inference('split', [status(esa)], ['3375'])). 61.66/62.15 tff('3377', plain, 61.66/62.15 ( zip_tseitin_21) | ( zip_tseitin_29) | ( zip_tseitin_18) | 61.66/62.15 ( zip_tseitin_16) | ( zip_tseitin_20) | ( zip_tseitin_25) | 61.66/62.15 ( zip_tseitin_26) | ( zip_tseitin_17) | ( zip_tseitin_22) | 61.66/62.15 ( zip_tseitin_31) | ( zip_tseitin_23) | ( zip_tseitin_28) | 61.66/62.15 ( zip_tseitin_30) | ( zip_tseitin_19) | ( zip_tseitin_24) | 61.66/62.15 ( zip_tseitin_27), inference('split', [status(esa)], ['3308'])). 61.66/62.15 tff('3378', plain, (e12 = op1(e13, e13)) | ~ ( zip_tseitin_21), 61.66/62.15 inference('split', [status(esa)], ['2976'])). 61.66/62.15 tff('3379', plain, 61.66/62.15 (op1(e11, e13) = e10 61.66/62.15 | op1(e13, e13) = e10 61.66/62.15 | op1(e12, e13) = e10 61.66/62.15 | op1(e10, e13) = e10), 61.66/62.15 inference('cnf', [status(esa)], [ax2])). 61.66/62.15 tff('3380', plain, op1(e11, e13) != e10, 61.66/62.15 inference('demod', [status(thm)], ['360', '361'])). 61.66/62.15 tff('3381', plain, 61.66/62.15 (op1(e13, e13) = e10 | op1(e12, e13) = e10 | op1(e10, e13) = e10), 61.66/62.15 inference('simplify_reflect-', [status(thm)], ['3379', '3380'])). 61.66/62.15 tff('3382', plain, 61.66/62.15 (op1(e12, e13) = e10) | (op1(e13, e13) = e10) | (op1(e10, e13) = e10), 61.66/62.15 inference('split', [status(esa)], ['3381'])). 61.66/62.15 tff('3383', plain, (op1(e12, e13) = e10) <= ((op1(e12, e13) = e10)), 61.66/62.15 inference('split', [status(esa)], ['282'])). 61.66/62.15 tff('3384', plain, (e10 = op1(e12, e10)) <= ((e10 = op1(e12, e10))), 61.66/62.15 inference('split', [status(esa)], ['889'])). 61.66/62.15 tff('3385', plain, op1(e12, e10) != op1(e12, e13), 61.66/62.15 inference('cnf', [status(esa)], [ax5])). 61.66/62.15 tff('3386', plain, (e10 != op1(e12, e13)) <= ((e10 = op1(e12, e10))), 61.66/62.15 inference('s_sup-', [status(thm)], ['3384', '3385'])). 61.66/62.15 tff('3387', plain, 61.66/62.15 (e10 != e10) <= ((e10 = op1(e12, e10)) & (op1(e12, e13) = e10)), 61.66/62.15 inference('s_sup-', [status(thm)], ['3383', '3386'])). 61.66/62.15 tff('3388', plain, ~ (e10 = op1(e12, e10)) | ~ (op1(e12, e13) = e10), 61.66/62.15 inference('simplify', [status(thm)], ['3387'])). 61.66/62.15 tff('3389', plain, ~ ( zip_tseitin_13) | (e10 = op1(e12, e10)), 61.66/62.15 inference('split', [status(esa)], ['889'])). 61.66/62.15 tff('3390', plain, 61.66/62.15 ( zip_tseitin_13) | ( zip_tseitin_5) | ( zip_tseitin_7) | 61.66/62.15 ( zip_tseitin_3) | ( zip_tseitin_10) | ( zip_tseitin_6) | 61.66/62.15 ( zip_tseitin_1) | ( zip_tseitin_9) | ( zip_tseitin_0) | 61.66/62.15 ( zip_tseitin_15) | ( zip_tseitin_14) | ( zip_tseitin_11) | 61.66/62.15 ( zip_tseitin_4) | ( zip_tseitin_8) | ( zip_tseitin_2) | 61.66/62.15 ( zip_tseitin_12), inference('split', [status(esa)], ['3017'])). 61.66/62.15 tff('3391', plain, $false, 61.66/62.15 inference('sat_resolution*', [status(thm)], 61.66/62.15 ['19', '26', '28', '35', '37', '39', '47', '103', '123', 61.66/62.15 '142', '186', '207', '223', '238', '252', '270', '291', 61.66/62.15 '306', '328', '349', '371', '397', '402', '403', '411', 61.66/62.15 '413', '419', '423', '429', '467', '483', '493', '503', 61.66/62.15 '525', '554', '556', '558', '564', '569', '576', '581', 61.66/62.15 '598', '604', '610', '638', '644', '654', '662', '670', 61.66/62.15 '681', '690', '701', '708', '715', '719', '728', '736', 61.66/62.15 '741', '743', '747', '753', '764', '766', '768', '772', 61.66/62.15 '774', '775', '781', '787', '799', '805', '813', '821', 61.66/62.15 '829', '837', '842', '850', '861', '863', '874', '876', 61.66/62.15 '887', '899', '903', '908', '919', '926', '948', '986', 61.66/62.15 '1010', '1037', '1067', '1079', '1091', '1099', '1111', 61.66/62.15 '1121', '1133', '1146', '1156', '1164', '1171', '1192', 61.66/62.15 '1198', '1200', '1206', '1208', '1214', '1216', '1218', 61.66/62.15 '1225', '1236', '1246', '1254', '1264', '1276', '1278', 61.66/62.15 '1280', '1308', '1316', '1320', '1328', '1336', '1349', 61.66/62.15 '1355', '1359', '1367', '1376', '1385', '1394', '1402', 61.66/62.15 '1410', '1412', '1414', '1420', '1439', '1448', '1450', 61.66/62.15 '1456', '1462', '1474', '1480', '1486', '1492', '1503', 61.66/62.15 '1507', '1515', '1521', '1528', '1534', '1536', '1540', 61.66/62.15 '1542', '1551', '1552', '1558', '1568', '1580', '1589', 61.66/62.15 '1591', '1595', '1597', '1601', '1602', '1608', '1613', 61.66/62.15 '1619', '1625', '1630', '1635', '1636', '1642', '1648', 61.66/62.15 '1654', '1660', '1661', '1667', '1669', '1671', '1677', 61.66/62.15 '1681', '1688', '1693', '1696', '1699', '1702', '1705', 61.66/62.15 '1707', '1712', '1731', '1735', '1739', '1743', '1753', 61.66/62.15 '1761', '1772', '1777', '1785', '1796', '1805', '1806', 61.66/62.15 '1814', '1822', '1826', '1830', '1838', '1846', '1854', 61.66/62.15 '1862', '1864', '1866', '1870', '1872', '1874', '1879', 61.66/62.15 '1884', '1890', '1891', '1893', '1895', '1897', '1902', 61.66/62.15 '1904', '1910', '1911', '1916', '1921', '1923', '1927', 61.66/62.15 '1928', '1930', '1931', '1938', '1967', '1979', '1992', 61.66/62.15 '2004', '2031', '2043', '2053', '2065', '2069', '2071', 61.66/62.15 '2074', '2084', '2096', '2107', '2113', '2126', '2140', 61.66/62.15 '2153', '2160', '2168', '2180', '2199', '2206', '2211', 61.66/62.15 '2217', '2219', '2221', '2223', '2227', '2235', '2241', 61.66/62.15 '2245', '2253', '2255', '2263', '2269', '2271', '2279', 61.66/62.15 '2284', '2285', '2287', '2296', '2297', '2299', '2300', 61.66/62.15 '2306', '2308', '2314', '2320', '2328', '2334', '2340', 61.66/62.15 '2359', '2371', '2379', '2390', '2396', '2397', '2409', 61.66/62.15 '2417', '2428', '2430', '2432', '2442', '2451', '2460', 61.66/62.15 '2467', '2474', '2484', '2494', '2498', '2508', '2512', 61.66/62.15 '2513', '2517', '2524', '2526', '2537', '2541', '2547', 61.66/62.15 '2549', '2557', '2558', '2560', '2563', '2565', '2567', 61.66/62.15 '2568', '2573', '2577', '2581', '2582', '2587', '2588', 61.66/62.15 '2593', '2594', '2596', '2601', '2606', '2608', '2618', 61.66/62.15 '2619', '2624', '2625', '2630', '2635', '2640', '2641', 61.66/62.15 '2645', '2650', '2655', '2660', '2662', '2664', '2669', 61.66/62.15 '2674', '2675', '2680', '2682', '2687', '2689', '2691', 61.66/62.15 '2696', '2701', '2706', '2711', '2713', '2718', '2719', 61.66/62.15 '2721', '2727', '2728', '2730', '2732', '2734', '2736', 61.66/62.15 '2738', '2743', '2745', '2746', '2751', '2756', '2757', 61.66/62.15 '2764', '2769', '2770', '2771', '2776', '2777', '2782', 61.66/62.15 '2787', '2792', '2797', '2802', '2807', '2809', '2813', 61.66/62.15 '2818', '2822', '2829', '2831', '2836', '2840', '2845', 61.66/62.15 '2850', '2855', '2857', '2859', '2861', '2863', '2868', 61.66/62.15 '2870', '2876', '2882', '2888', '2896', '2902', '2907', 61.66/62.15 '2912', '2917', '2927', '2931', '2937', '2941', '2947', 61.66/62.15 '2952', '2953', '2959', '2964', '2967', '2969', '2973', 61.66/62.15 '2974', '2980', '2982', '2987', '2988', '2996', '2998', 61.66/62.15 '3003', '3005', '3011', '3012', '3015', '3016', '3022', 61.66/62.15 '3027', '3029', '3032', '3033', '3038', '3044', '3045', 61.66/62.15 '3050', '3056', '3057', '3058', '3063', '3064', '3066', 61.66/62.15 '3069', '3074', '3076', '3080', '3084', '3086', '3090', 61.66/62.15 '3095', '3100', '3102', '3107', '3112', '3118', '3119', 61.66/62.15 '3120', '3127', '3128', '3136', '3137', '3143', '3149', 61.66/62.15 '3155', '3160', '3165', '3170', '3180', '3188', '3193', 61.66/62.15 '3199', '3204', '3206', '3212', '3217', '3222', '3227', 61.66/62.15 '3232', '3237', '3242', '3244', '3252', '3257', '3259', 61.66/62.15 '3263', '3268', '3273', '3277', '3279', '3285', '3291', 61.66/62.15 '3293', '3295', '3300', '3305', '3307', '3317', '3326', 61.66/62.15 '3332', '3333', '3339', '3340', '3346', '3347', '3356', 61.66/62.15 '3365', '3371', '3372', '3374', '3376', '3377', '3378', 61.66/62.15 '3382', '3388', '3389', '3390'])). 61.66/62.15 61.66/62.15 % SZS output end Refutation 61.66/62.15 61.66/62.15 % Zipperpin 1.5 exiting 61.72/62.15 EOF