TSTP Solution File: ITP010+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : ITP010+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 11:23:12 EDT 2023
% Result : Theorem 0.34s 1.37s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ITP010+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.04/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 18 22:13:14 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.34/1.37
% 0.34/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.37 %-----------------------------------------------------
% 0.34/1.37 ncf(matrix, plain, [(830 ^ _130164) ^ [] : [831 ^ _130164 : [(832 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(825 ^ [], tyop_2Emin_2Ebool), 827 ^ []), s(tyop_2Emin_2Efun(826 ^ [], tyop_2Emin_2Ebool), 828 ^ []))))], (834 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(825 ^ [], tyop_2Emin_2Ebool), 827 ^ []), s(tyop_2Emin_2Efun(826 ^ [], tyop_2Emin_2Ebool), 828 ^ [])))))]], 835 ^ _130164 : [(836 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(825 ^ [], tyop_2Emin_2Ebool), 827 ^ []), s(tyop_2Emin_2Efun(826 ^ [], tyop_2Emin_2Ebool), 828 ^ []))))], (838 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(825 ^ [], tyop_2Emin_2Ebool), 827 ^ []), s(tyop_2Emin_2Efun(826 ^ [], tyop_2Emin_2Ebool), 828 ^ [])))))]]], (20 ^ _130164) ^ [_130912, _130914] : [-(p(_130912)), _130914 = _130912, p(_130914)], (2 ^ _130164) ^ [_130308] : [-(_130308 = _130308)], (4 ^ _130164) ^ [_130415, _130417] : [_130417 = _130415, -(_130415 = _130417)], (10 ^ _130164) ^ [_130619, _130621, _130623] : [-(_130623 = _130619), _130623 = _130621, _130621 = _130619], (30 ^ _130164) ^ [_131237, _131239, _131241, _131243] : [-(c_2Ebool_2E_2F_5C_2E2(_131243, _131239) = c_2Ebool_2E_2F_5C_2E2(_131241, _131237)), _131243 = _131241, _131239 = _131237], (40 ^ _130164) ^ [_131596, _131598, _131600, _131602] : [-(c_2Ebool_2E_5C_2F_2E2(_131602, _131598) = c_2Ebool_2E_5C_2F_2E2(_131600, _131596)), _131602 = _131600, _131598 = _131596], (50 ^ _130164) ^ [_131927, _131929] : [_131929 = _131927, -(c_2Ebool_2E_7E_2E1(_131929) = c_2Ebool_2E_7E_2E1(_131927))], (56 ^ _130164) ^ [_132173, _132175, _132177, _132179] : [-(c_2Emin_2E_3D_3D_3E_2E2(_132179, _132175) = c_2Emin_2E_3D_3D_3E_2E2(_132177, _132173)), _132179 = _132177, _132175 = _132173], (66 ^ _130164) ^ [_132532, _132534, _132536, _132538] : [-(c_2Emin_2E_3D_2E2(_132538, _132534) = c_2Emin_2E_3D_2E2(_132536, _132532)), _132538 = _132536, _132534 = _132532], (76 ^ _130164) ^ [_132863, _132865] : [_132865 = _132863, -(c_2Ebool_2E_21_2E1(_132865) = c_2Ebool_2E_21_2E1(_132863))], (82 ^ _130164) ^ [_133081, _133083] : [_133083 = _133081, -(c_2Ebool_2E_3F_2E1(_133083) = c_2Ebool_2E_3F_2E1(_133081))], (88 ^ _130164) ^ [_133327, _133329, _133331, _133333] : [-(app_2E2(_133333, _133329) = app_2E2(_133331, _133327)), _133333 = _133331, _133329 = _133327], (98 ^ _130164) ^ [_133686, _133688, _133690, _133692] : [-(c_2Ecardinal_2Ecardleq_2E2(_133692, _133688) = c_2Ecardinal_2Ecardleq_2E2(_133690, _133686)), _133692 = _133690, _133688 = _133686], (108 ^ _130164) ^ [_134045, _134047, _134049, _134051] : [-(s(_134051, _134047) = s(_134049, _134045)), _134051 = _134049, _134047 = _134045], (118 ^ _130164) ^ [_134384, _134386, _134388, _134390] : [-(tyop_2Emin_2Efun(_134390, _134386) = tyop_2Emin_2Efun(_134388, _134384)), _134390 = _134388, _134386 = _134384], (128 ^ _130164) ^ [_134771, _134773, _134775, _134777] : [s(_134775, app_2E2(s(tyop_2Emin_2Efun(_134777, _134775), _134773), s(_134777, 129 ^ [_134771, _134773, _134775, _134777]))) = s(_134775, app_2E2(s(tyop_2Emin_2Efun(_134777, _134775), _134771), s(_134777, 129 ^ [_134771, _134773, _134775, _134777]))), -(s(tyop_2Emin_2Efun(_134777, _134775), _134773) = s(tyop_2Emin_2Efun(_134777, _134775), _134771))], (135 ^ _130164) ^ [_135187, _135189] : [-(s(tyop_2Emin_2Ebool, _135189) = s(tyop_2Emin_2Ebool, _135187)), 138 ^ _130164 : [(139 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _135189)))], (141 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, _135187))]], 142 ^ _130164 : [(143 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _135187)))], (145 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, _135189))]]], (149 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)))], (151 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))], (153 ^ _130164) ^ [_135748] : [-(s(tyop_2Emin_2Ebool, _135748) = s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)), -(s(tyop_2Emin_2Ebool, _135748) = s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))], (159 ^ _130164) ^ [_135950, _135952] : [-(s(_135952, app_2E2(s(tyop_2Emin_2Efun(_135952, _135952), combin_i_2E0), s(_135952, _135950))) = s(_135952, _135950))], (161 ^ _130164) ^ [_136090, _136092, _136094, _136096] : [-(s(_136096, app_2E2(s(tyop_2Emin_2Efun(_136094, _136096), app_2E2(s(tyop_2Emin_2Efun(_136096, tyop_2Emin_2Efun(_136094, _136096)), combin_k_2E0), s(_136096, _136092))), s(_136094, _136090))) = s(_136096, _136092))], (163 ^ _130164) ^ [_136277, _136279, _136281, _136283, _136285, _136287] : [-(s(_136283, app_2E2(s(tyop_2Emin_2Efun(_136287, _136283), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_136287, _136285), tyop_2Emin_2Efun(_136287, _136283)), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_136287, tyop_2Emin_2Efun(_136285, _136283)), tyop_2Emin_2Efun(tyop_2Emin_2Efun(_136287, _136285), tyop_2Emin_2Efun(_136287, _136283))), combin_s_2E0), s(tyop_2Emin_2Efun(_136287, tyop_2Emin_2Efun(_136285, _136283)), _136281))), s(tyop_2Emin_2Efun(_136287, _136285), _136279))), s(_136287, _136277))) = s(_136283, app_2E2(s(tyop_2Emin_2Efun(_136285, _136283), app_2E2(s(tyop_2Emin_2Efun(_136287, tyop_2Emin_2Efun(_136285, _136283)), _136281), s(_136287, _136277))), s(_136285, app_2E2(s(tyop_2Emin_2Efun(_136287, _136285), _136279), s(_136287, _136277))))))], (165 ^ _130164) ^ [_136534, _136536] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool, _136536), s(tyop_2Emin_2Ebool, _136534)))), 168 ^ _130164 : [(169 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _136536)))], (171 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _136534)))]]], (173 ^ _130164) ^ [_136801, _136803] : [-(p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool, _136803), s(tyop_2Emin_2Ebool, _136801))))), p(s(tyop_2Emin_2Ebool, _136803)), p(s(tyop_2Emin_2Ebool, _136801))], (193 ^ _130164) ^ [_137443, _137445] : [194 ^ _130164 : [(195 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, _137445))], (197 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, _137443))]], -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool, _137445), s(tyop_2Emin_2Ebool, _137443)))))], (183 ^ _130164) ^ [_137161, _137163] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool, _137163), s(tyop_2Emin_2Ebool, _137161)))), -(p(s(tyop_2Emin_2Ebool, _137163))), -(p(s(tyop_2Emin_2Ebool, _137161)))], (201 ^ _130164) ^ [_137774] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool, _137774)))), p(s(tyop_2Emin_2Ebool, _137774))], (207 ^ _130164) ^ [_137949] : [-(p(s(tyop_2Emin_2Ebool, _137949))), -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool, _137949)))))], (223 ^ _130164) ^ [_138486, _138488] : [224 ^ _130164 : [(225 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _138488)))], (227 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, _138486))]], -(p(s(tyop_2Emin_2Ebool, c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool, _138488), s(tyop_2Emin_2Ebool, _138486)))))], (213 ^ _130164) ^ [_138205, _138207] : [p(s(tyop_2Emin_2Ebool, c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool, _138207), s(tyop_2Emin_2Ebool, _138205)))), p(s(tyop_2Emin_2Ebool, _138207)), -(p(s(tyop_2Emin_2Ebool, _138205)))], (231 ^ _130164) ^ [_138846, _138848, _138850] : [p(s(tyop_2Emin_2Ebool, c_2Emin_2E_3D_2E2(s(_138850, _138848), s(_138850, _138846)))), -(s(_138850, _138848) = s(_138850, _138846))], (237 ^ _130164) ^ [_139048, _139050, _139052] : [s(_139052, _139050) = s(_139052, _139048), -(p(s(tyop_2Emin_2Ebool, c_2Emin_2E_3D_2E2(s(_139052, _139050), s(_139052, _139048)))))], (243 ^ _130164) ^ [_139329, _139331] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(_139331, tyop_2Emin_2Ebool), _139329)))), 246 ^ _130164 : [(247 ^ _130164) ^ [_139479] : [-(p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_139331, tyop_2Emin_2Ebool), _139329), s(_139331, _139479)))))]]], (249 ^ _130164) ^ [_139561, _139563] : [p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_139563, tyop_2Emin_2Ebool), _139561), s(_139563, 250 ^ [_139561, _139563])))), -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(_139563, tyop_2Emin_2Ebool), _139561)))))], (256 ^ _130164) ^ [_139921, _139923] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(_139923, tyop_2Emin_2Ebool), _139921)))), -(p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_139923, tyop_2Emin_2Ebool), _139921), s(_139923, 259 ^ [_139921, _139923])))))], (263 ^ _130164) ^ [_140202, _140204] : [264 ^ _130164 : [(265 ^ _130164) ^ [_140296] : [p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_140204, tyop_2Emin_2Ebool), _140202), s(_140204, _140296))))]], -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(_140204, tyop_2Emin_2Ebool), _140202)))))], (279 ^ _130164) ^ [_140806, _140808] : [p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool)), c_2Ebool_2E_2F_5C_2E0), s(tyop_2Emin_2Ebool, _140808))), s(tyop_2Emin_2Ebool, _140806)))), 282 ^ _130164 : [(283 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _140808)))], (285 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _140806)))]]], (269 ^ _130164) ^ [_140513, _140515] : [-(p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool)), c_2Ebool_2E_2F_5C_2E0), s(tyop_2Emin_2Ebool, _140515))), s(tyop_2Emin_2Ebool, _140513))))), p(s(tyop_2Emin_2Ebool, _140515)), p(s(tyop_2Emin_2Ebool, _140513))], (287 ^ _130164) ^ [_141164, _141166] : [288 ^ _130164 : [(289 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, _141166))], (291 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, _141164))]], -(p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool)), c_2Ebool_2E_5C_2F_2E0), s(tyop_2Emin_2Ebool, _141166))), s(tyop_2Emin_2Ebool, _141164)))))], (295 ^ _130164) ^ [_141442, _141444] : [p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool)), c_2Ebool_2E_5C_2F_2E0), s(tyop_2Emin_2Ebool, _141444))), s(tyop_2Emin_2Ebool, _141442)))), -(p(s(tyop_2Emin_2Ebool, _141444))), -(p(s(tyop_2Emin_2Ebool, _141442)))], (305 ^ _130164) ^ [_141801] : [-(p(s(tyop_2Emin_2Ebool, _141801))), -(p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), c_2Ebool_2E_7E_2E0), s(tyop_2Emin_2Ebool, _141801)))))], (311 ^ _130164) ^ [_141980] : [p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), c_2Ebool_2E_7E_2E0), s(tyop_2Emin_2Ebool, _141980)))), p(s(tyop_2Emin_2Ebool, _141980))], (317 ^ _130164) ^ [_142236, _142238] : [318 ^ _130164 : [(319 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _142238)))], (321 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, _142236))]], -(p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool)), c_2Emin_2E_3D_3D_3E_2E0), s(tyop_2Emin_2Ebool, _142238))), s(tyop_2Emin_2Ebool, _142236)))))], (325 ^ _130164) ^ [_142515, _142517] : [p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Efun(tyop_2Emin_2Ebool, tyop_2Emin_2Ebool)), c_2Emin_2E_3D_3D_3E_2E0), s(tyop_2Emin_2Ebool, _142517))), s(tyop_2Emin_2Ebool, _142515)))), p(s(tyop_2Emin_2Ebool, _142517)), -(p(s(tyop_2Emin_2Ebool, _142515)))], (335 ^ _130164) ^ [_142901, _142903, _142905] : [s(_142905, _142903) = s(_142905, _142901), -(p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_142905, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(_142905, tyop_2Emin_2Efun(_142905, tyop_2Emin_2Ebool)), c_2Emin_2E_3D_2E0), s(_142905, _142903))), s(_142905, _142901)))))], (341 ^ _130164) ^ [_143139, _143141, _143143] : [p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_143143, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(_143143, tyop_2Emin_2Efun(_143143, tyop_2Emin_2Ebool)), c_2Emin_2E_3D_2E0), s(_143143, _143141))), s(_143143, _143139)))), -(s(_143143, _143141) = s(_143143, _143139))], (347 ^ _130164) ^ [_143412, _143414] : [-(s(tyop_2Emin_2Ebool, c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(_143414, tyop_2Emin_2Ebool), _143412))) = s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_143414, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool), c_2Ebool_2E_21_2E0), s(tyop_2Emin_2Efun(_143414, tyop_2Emin_2Ebool), _143412))))], (349 ^ _130164) ^ [_143538, _143540] : [-(s(tyop_2Emin_2Ebool, c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(_143540, tyop_2Emin_2Ebool), _143538))) = s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_143540, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool), c_2Ebool_2E_3F_2E0), s(tyop_2Emin_2Efun(_143540, tyop_2Emin_2Ebool), _143538))))], (351 ^ _130164) ^ [_143692, _143694, _143696, _143698] : [-(s(tyop_2Emin_2Ebool, c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(_143698, tyop_2Emin_2Ebool), _143694), s(tyop_2Emin_2Efun(_143696, tyop_2Emin_2Ebool), _143692))) = s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_143696, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_143698, tyop_2Emin_2Ebool), tyop_2Emin_2Efun(tyop_2Emin_2Efun(_143696, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool)), c_2Ecardinal_2Ecardleq_2E0), s(tyop_2Emin_2Efun(_143698, tyop_2Emin_2Ebool), _143694))), s(tyop_2Emin_2Efun(_143696, tyop_2Emin_2Ebool), _143692))))], (353 ^ _130164) ^ [_143881, _143883, _143885, _143887] : [-(s(tyop_2Emin_2Ebool, c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(_143885, tyop_2Emin_2Ebool), _143883), s(tyop_2Emin_2Efun(_143887, tyop_2Emin_2Ebool), _143881))) = s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_143887, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_143885, tyop_2Emin_2Ebool), tyop_2Emin_2Efun(tyop_2Emin_2Efun(_143887, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool)), c_2Ecardinal_2Ecardleq_2E0), s(tyop_2Emin_2Efun(_143885, tyop_2Emin_2Ebool), _143883))), s(tyop_2Emin_2Efun(_143887, tyop_2Emin_2Ebool), _143881))))], (355 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)))], (357 ^ _130164) ^ [_144096] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)), -(p(s(tyop_2Emin_2Ebool, _144096)))], (363 ^ _130164) ^ [_144327, _144329] : [p(s(tyop_2Emin_2Ebool, _144327)), -(p(s(tyop_2Emin_2Ebool, _144327)))], (370 ^ _130164) ^ [_144549, _144551] : [p(s(tyop_2Emin_2Ebool, _144549)), 373 ^ _130164 : [(374 ^ _130164) ^ [_144671] : [-(p(s(tyop_2Emin_2Ebool, _144549)))]]], (376 ^ _130164) ^ [_144826] : [377 ^ _130164 : [(378 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)))], (380 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, _144826))]], -(p(s(tyop_2Emin_2Ebool, _144826)))], (384 ^ _130164) ^ [_145057] : [p(s(tyop_2Emin_2Ebool, _145057)), p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)), -(p(s(tyop_2Emin_2Ebool, _145057)))], (394 ^ _130164) ^ [_145351] : [395 ^ _130164 : [(396 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _145351)))], (398 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0))]], -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)))], (402 ^ _130164) ^ [_145569] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)), p(s(tyop_2Emin_2Ebool, _145569)), -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)))], (412 ^ _130164) ^ [_145853] : [413 ^ _130164 : [(414 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)))], (416 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, _145853))]], -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)))], (420 ^ _130164) ^ [_146071] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)), p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)), -(p(s(tyop_2Emin_2Ebool, _146071)))], (430 ^ _130164) ^ [_146355] : [431 ^ _130164 : [(432 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _146355)))], (434 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, _146355))]], -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)))], (438 ^ _130164) ^ [_146583] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)), p(s(tyop_2Emin_2Ebool, _146583)), -(p(s(tyop_2Emin_2Ebool, _146583)))], (448 ^ _130164) ^ [_146857] : [449 ^ _130164 : [(450 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _146857)))], (452 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))]], p(s(tyop_2Emin_2Ebool, _146857))], (456 ^ _130164) ^ [_147089] : [-(p(s(tyop_2Emin_2Ebool, _147089))), p(s(tyop_2Emin_2Ebool, _147089)), -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)))], (466 ^ _130164) ^ [_147436] : [p(s(tyop_2Emin_2Ebool, _147436)), -(p(s(tyop_2Emin_2Ebool, _147436)))], (472 ^ _130164) ^ [_147604] : [p(s(tyop_2Emin_2Ebool, _147604)), -(p(s(tyop_2Emin_2Ebool, _147604)))], (478 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0))), -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)))], (484 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)), p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0))], (490 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))), -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)))], (496 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)), p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))], (502 ^ _130164) ^ [_148337, _148339] : [s(_148339, _148337) = s(_148339, _148337), -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)))], (508 ^ _130164) ^ [_148502, _148504] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)), -(s(_148504, _148502) = s(_148504, _148502))], (514 ^ _130164) ^ [_148755] : [s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool, _148755), -(p(s(tyop_2Emin_2Ebool, _148755)))], (520 ^ _130164) ^ [_148921] : [p(s(tyop_2Emin_2Ebool, _148921)), -(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool, _148921))], (526 ^ _130164) ^ [_149138] : [s(tyop_2Emin_2Ebool, _149138) = s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0), -(p(s(tyop_2Emin_2Ebool, _149138)))], (532 ^ _130164) ^ [_149304] : [p(s(tyop_2Emin_2Ebool, _149304)), -(s(tyop_2Emin_2Ebool, _149304) = s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0))], (538 ^ _130164) ^ [_149521] : [s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool, _149521), p(s(tyop_2Emin_2Ebool, _149521))], (544 ^ _130164) ^ [_149688] : [-(p(s(tyop_2Emin_2Ebool, _149688))), -(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool, _149688))], (550 ^ _130164) ^ [_149888] : [s(tyop_2Emin_2Ebool, _149888) = s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0), p(s(tyop_2Emin_2Ebool, _149888))], (556 ^ _130164) ^ [_150055] : [-(p(s(tyop_2Emin_2Ebool, _150055))), -(s(tyop_2Emin_2Ebool, _150055) = s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))], (562 ^ _130164) ^ [_150314, _150316, _150318, _150320] : [-(p(s(tyop_2Emin_2Ebool, c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(_150320, tyop_2Emin_2Ebool), _150316), s(tyop_2Emin_2Efun(_150318, tyop_2Emin_2Ebool), _150314))))), -(p(s(tyop_2Emin_2Ebool, c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(_150318, tyop_2Emin_2Ebool), _150314), s(tyop_2Emin_2Efun(_150320, tyop_2Emin_2Ebool), _150316)))))], (568 ^ _130164) ^ [_150620] : [p(s(tyop_2Emin_2Ebool, _150620)), -(p(s(tyop_2Emin_2Ebool, _150620)))], (574 ^ _130164) ^ [_150788] : [p(s(tyop_2Emin_2Ebool, _150788)), -(p(s(tyop_2Emin_2Ebool, _150788)))], (580 ^ _130164) ^ [_150992] : [p(s(tyop_2Emin_2Ebool, _150992)), -(p(s(tyop_2Emin_2Ebool, _150992))), -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)))], (590 ^ _130164) ^ [_151315, _151317] : [591 ^ _130164 : [(592 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, _151315))], (594 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, _151317))], (596 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))]], 599 ^ _130164 : [(600 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _151315)))], (602 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))]], -(p(s(tyop_2Emin_2Ebool, _151317))), -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)))], (610 ^ _130164) ^ [_151882, _151884] : [611 ^ _130164 : [(618 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, _151884))], (620 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))], (612 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, _151882)), -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)))]], -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))), -(p(s(tyop_2Emin_2Ebool, _151882))), -(p(s(tyop_2Emin_2Ebool, _151884)))], (632 ^ _130164) ^ [_152544, _152546] : [633 ^ _130164 : [(634 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _152544)))], (636 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, _152546))], (638 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))]], p(s(tyop_2Emin_2Ebool, _152544)), -(p(s(tyop_2Emin_2Ebool, _152546))), -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)))], (650 ^ _130164) ^ [_153045, _153047] : [651 ^ _130164 : [(652 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _153045)))], (654 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, _153047))], (656 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))]], -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))), p(s(tyop_2Emin_2Ebool, _153045)), -(p(s(tyop_2Emin_2Ebool, _153047)))], (668 ^ _130164) ^ [_153580] : [669 ^ _130164 : [(670 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, _153580))], (672 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))]], 675 ^ _130164 : [(676 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _153580)))], (678 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))]], -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0)))], (778 ^ _130164) ^ [_156988, _156990] : [781 ^ _130164 : [(782 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _156988)))], (784 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _156990)))]], 785 ^ _130164 : [(786 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, _156990))], (788 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, _156988))]], 789 ^ _130164 : [(790 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _156988))), -(p(s(tyop_2Emin_2Ebool, _156990)))], (796 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, _156990)), p(s(tyop_2Emin_2Ebool, _156988))]]], (802 ^ _130164) ^ [_157675, _157677] : [805 ^ _130164 : [(806 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, _157675))], (808 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, _157677))]], 809 ^ _130164 : [(810 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _157677)))], (812 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _157675)))]], 813 ^ _130164 : [(814 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, _157675)), p(s(tyop_2Emin_2Ebool, _157677))], (820 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _157677))), -(p(s(tyop_2Emin_2Ebool, _157675)))]]], (734 ^ _130164) ^ [_155522, _155524, _155526] : [737 ^ _130164 : [(738 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, _155522))], (740 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, _155524))], (742 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, _155526))]], 745 ^ _130164 : [(746 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, _155522))], (748 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _155526)))], (750 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _155524)))]], 753 ^ _130164 : [(754 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, _155524))], (756 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _155526)))], (758 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _155522)))]], 759 ^ _130164 : [(760 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, _155526))], (762 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _155524)))], (764 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _155522)))]], 765 ^ _130164 : [(766 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, _155522)), -(s(tyop_2Emin_2Ebool, _155524) = s(tyop_2Emin_2Ebool, _155526))], (772 ^ _130164) ^ [] : [s(tyop_2Emin_2Ebool, _155524) = s(tyop_2Emin_2Ebool, _155526), -(p(s(tyop_2Emin_2Ebool, _155522)))]]], (682 ^ _130164) ^ [_154049, _154051, _154053] : [685 ^ _130164 : [(686 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _154049)))], (688 ^ _130164) ^ [] : [s(tyop_2Emin_2Ebool, _154051) = s(tyop_2Emin_2Ebool, _154053)]], 689 ^ _130164 : [(690 ^ _130164) ^ [] : [-(s(tyop_2Emin_2Ebool, _154051) = s(tyop_2Emin_2Ebool, _154053))], (692 ^ _130164) ^ [] : [p(s(tyop_2Emin_2Ebool, _154049))]], 693 ^ _130164 : [(694 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _154049))), -(p(s(tyop_2Emin_2Ebool, _154051))), -(p(s(tyop_2Emin_2Ebool, _154053)))], (704 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _154049))), p(s(tyop_2Emin_2Ebool, _154053)), p(s(tyop_2Emin_2Ebool, _154051))], (714 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _154051))), p(s(tyop_2Emin_2Ebool, _154053)), p(s(tyop_2Emin_2Ebool, _154049))], (724 ^ _130164) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _154053))), p(s(tyop_2Emin_2Ebool, _154051)), p(s(tyop_2Emin_2Ebool, _154049))]]]], input).
% 0.34/1.37 ncf('1',plain,[832 : p(s(tyop_2Emin_2Ebool, c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(825 ^ [], tyop_2Emin_2Ebool), 827 ^ []), s(tyop_2Emin_2Efun(826 ^ [], tyop_2Emin_2Ebool), 828 ^ [])))), 836 : p(s(tyop_2Emin_2Ebool, c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(825 ^ [], tyop_2Emin_2Ebool), 827 ^ []), s(tyop_2Emin_2Efun(826 ^ [], tyop_2Emin_2Ebool), 828 ^ []))))],start(830 ^ 0)).
% 0.34/1.37 ncf('1.1',plain,[-(p(s(tyop_2Emin_2Ebool, c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(825 ^ [], tyop_2Emin_2Ebool), 827 ^ []), s(tyop_2Emin_2Efun(826 ^ [], tyop_2Emin_2Ebool), 828 ^ [])))))],extension(834 ^ 3)).
% 0.34/1.37 ncf('1.2',plain,[-(p(s(tyop_2Emin_2Ebool, c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(825 ^ [], tyop_2Emin_2Ebool), 827 ^ []), s(tyop_2Emin_2Efun(826 ^ [], tyop_2Emin_2Ebool), 828 ^ [])))))],extension(838 ^ 3)).
% 0.34/1.37 %-----------------------------------------------------
% 0.34/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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