%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : ITP001+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n011.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 11:23:03 EDT 2023
% Result : Theorem 0.32s 1.39s
% Output : Proof 0.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP001+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.07/0.14 % Command : nanocop.sh %s %d
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 18 21:29:18 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.32/1.39
% 0.32/1.39 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.32/1.39 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.39 %-----------------------------------------------------
% 0.32/1.39 ncf(matrix, plain, [(354 ^ _71922) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0))], (20 ^ _71922) ^ [_72670, _72672] : [-(p(_72670)), _72672 = _72670, p(_72672)], (2 ^ _71922) ^ [_72066] : [-(_72066 = _72066)], (4 ^ _71922) ^ [_72173, _72175] : [_72175 = _72173, -(_72173 = _72175)], (10 ^ _71922) ^ [_72377, _72379, _72381] : [-(_72381 = _72377), _72381 = _72379, _72379 = _72377], (30 ^ _71922) ^ [_72995, _72997, _72999, _73001] : [-(c_2Ebool_2E_2F_5C_2E2(_73001, _72997) = c_2Ebool_2E_2F_5C_2E2(_72999, _72995)), _73001 = _72999, _72997 = _72995], (40 ^ _71922) ^ [_73354, _73356, _73358, _73360] : [-(c_2Ebool_2E_5C_2F_2E2(_73360, _73356) = c_2Ebool_2E_5C_2F_2E2(_73358, _73354)), _73360 = _73358, _73356 = _73354], (50 ^ _71922) ^ [_73685, _73687] : [_73687 = _73685, -(c_2Ebool_2E_7E_2E1(_73687) = c_2Ebool_2E_7E_2E1(_73685))], (56 ^ _71922) ^ [_73931, _73933, _73935, _73937] : [-(c_2Emin_2E_3D_3D_3E_2E2(_73937, _73933) = c_2Emin_2E_3D_3D_3E_2E2(_73935, _73931)), _73937 = _73935, _73933 = _73931], (66 ^ _71922) ^ [_74290, _74292, _74294, _74296] : [-(c_2Emin_2E_3D_2E2(_74296, _74292) = c_2Emin_2E_3D_2E2(_74294, _74290)), _74296 = _74294, _74292 = _74290], (76 ^ _71922) ^ [_74621, _74623] : [_74623 = _74621, -(c_2Ebool_2E_21_2E1(_74623) = c_2Ebool_2E_21_2E1(_74621))], (82 ^ _71922) ^ [_74839, _74841] : [_74841 = _74839, -(c_2Ebool_2E_3F_2E1(_74841) = c_2Ebool_2E_3F_2E1(_74839))], (88 ^ _71922) ^ [_75085, _75087, _75089, _75091] : [-(app_2E2(_75091, _75087) = app_2E2(_75089, _75085)), _75091 = _75089, _75087 = _75085], (98 ^ _71922) ^ [_75444, _75446, _75448, _75450] : [-(tyop_2Emin_2Efun(_75450, _75446) = tyop_2Emin_2Efun(_75448, _75444)), _75450 = _75448, _75446 = _75444], (108 ^ _71922) ^ [_75783, _75785, _75787, _75789] : [-(s(_75789, _75785) = s(_75787, _75783)), _75789 = _75787, _75785 = _75783], (118 ^ _71922) ^ [_76168, _76170, _76172, _76174] : [s(_76172, app_2E2(s(tyop_2Emin_2Efun(_76174, _76172), _76170), s(_76174, 119 ^ [_76168, _76170, _76172, _76174]))) = s(_76172, app_2E2(s(tyop_2Emin_2Efun(_76174, _76172), _76168), s(_76174, 119 ^ [_76168, _76170, _76172, _76174]))), -(s(tyop_2Emin_2Efun(_76174, _76172), _76170) = s(tyop_2Emin_2Efun(_76174, _76172), _76168))], (125 ^ _71922) ^ [_76584, _76586] : [-(s(tyop_2Emin_2Ebool, _76586) = s(tyop_2Emin_2Ebool, _76584)), 128 ^ _71922 : [(129 ^ _71922) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _76586)))], (131 ^ _71922) ^ [] : [p(s(tyop_2Emin_2Ebool, _76584))]], 132 ^ _71922 : [(133 ^ _71922) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _76584)))], (135 ^ _71922) ^ [] : [p(s(tyop_2Emin_2Ebool, _76586))]]], (139 ^ _71922) ^ [] : [-(p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)))], (141 ^ _71922) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))], (143 ^ _71922) ^ [_77145] : [-(s(tyop_2Emin_2Ebool, _77145) = s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)), -(s(tyop_2Emin_2Ebool, _77145) = s(tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0))], (149 ^ _71922) ^ [_77347, _77349] : [-(s(_77349, app_2E2(s(tyop_2Emin_2Efun(_77349, _77349), combin_i_2E0), s(_77349, _77347))) = s(_77349, _77347))], (151 ^ _71922) ^ [_77487, _77489, _77491, _77493] : [-(s(_77493, app_2E2(s(tyop_2Emin_2Efun(_77491, _77493), app_2E2(s(tyop_2Emin_2Efun(_77493, tyop_2Emin_2Efun(_77491, _77493)), combin_k_2E0), s(_77493, _77489))), s(_77491, _77487))) = s(_77493, _77489))], (153 ^ _71922) ^ [_77674, _77676, _77678, _77680, _77682, _77684] : [-(s(_77680, app_2E2(s(tyop_2Emin_2Efun(_77684, _77680), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_77684, _77682), tyop_2Emin_2Efun(_77684, _77680)), app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_77684, tyop_2Emin_2Efun(_77682, _77680)), tyop_2Emin_2Efun(tyop_2Emin_2Efun(_77684, _77682), tyop_2Emin_2Efun(_77684, _77680))), combin_s_2E0), s(tyop_2Emin_2Efun(_77684, tyop_2Emin_2Efun(_77682, _77680)), _77678))), s(tyop_2Emin_2Efun(_77684, _77682), _77676))), s(_77684, _77674))) = s(_77680, app_2E2(s(tyop_2Emin_2Efun(_77682, _77680), app_2E2(s(tyop_2Emin_2Efun(_77684, tyop_2Emin_2Efun(_77682, _77680)), _77678), s(_77684, _77674))), s(_77682, app_2E2(s(tyop_2Emin_2Efun(_77684, _77682), _77676), s(_77684, _77674))))))], (155 ^ _71922) ^ [_77931, _77933] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool, _77933), s(tyop_2Emin_2Ebool, _77931)))), 158 ^ _71922 : [(159 ^ _71922) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _77933)))], (161 ^ _71922) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _77931)))]]], (163 ^ _71922) ^ [_78198, _78200] : [-(p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool, _78200), s(tyop_2Emin_2Ebool, _78198))))), p(s(tyop_2Emin_2Ebool, _78200)), p(s(tyop_2Emin_2Ebool, _78198))], (183 ^ _71922) ^ [_78840, _78842] : [184 ^ _71922 : [(185 ^ _71922) ^ [] : [p(s(tyop_2Emin_2Ebool, _78842))], (187 ^ _71922) ^ [] : [p(s(tyop_2Emin_2Ebool, _78840))]], -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool, _78842), s(tyop_2Emin_2Ebool, _78840)))))], (173 ^ _71922) ^ [_78558, _78560] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool, _78560), s(tyop_2Emin_2Ebool, _78558)))), -(p(s(tyop_2Emin_2Ebool, _78560))), -(p(s(tyop_2Emin_2Ebool, _78558)))], (191 ^ _71922) ^ [_79171] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool, _79171)))), p(s(tyop_2Emin_2Ebool, _79171))], (197 ^ _71922) ^ [_79346] : [-(p(s(tyop_2Emin_2Ebool, _79346))), -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool, _79346)))))], (213 ^ _71922) ^ [_79883, _79885] : [214 ^ _71922 : [(215 ^ _71922) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _79885)))], (217 ^ _71922) ^ [] : [p(s(tyop_2Emin_2Ebool, _79883))]], -(p(s(tyop_2Emin_2Ebool, c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool, _79885), s(tyop_2Emin_2Ebool, _79883)))))], (203 ^ _71922) ^ [_79602, _79604] : [p(s(tyop_2Emin_2Ebool, c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool, _79604), s(tyop_2Emin_2Ebool, _79602)))), p(s(tyop_2Emin_2Ebool, _79604)), -(p(s(tyop_2Emin_2Ebool, _79602)))], (221 ^ _71922) ^ [_80243, _80245, _80247] : [p(s(tyop_2Emin_2Ebool, c_2Emin_2E_3D_2E2(s(_80247, _80245), s(_80247, _80243)))), -(s(_80247, _80245) = s(_80247, _80243))], (227 ^ _71922) ^ [_80445, _80447, _80449] : [s(_80449, _80447) = s(_80449, _80445), -(p(s(tyop_2Emin_2Ebool, c_2Emin_2E_3D_2E2(s(_80449, _80447), s(_80449, _80445)))))], (233 ^ _71922) ^ [_80726, _80728] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(_80728, tyop_2Emin_2Ebool), _80726)))), 236 ^ _71922 : [(237 ^ _71922) ^ [_80876] : [-(p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_80728, tyop_2Emin_2Ebool), _80726), s(_80728, _80876)))))]]], (239 ^ _71922) ^ [_80958, _80960] : [p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_80960, tyop_2Emin_2Ebool), _80958), s(_80960, 240 ^ [_80958, _80960])))), -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(_80960, tyop_2Emin_2Ebool), _80958)))))], (246 ^ _71922) ^ [_81318, _81320] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(_81320, tyop_2Emin_2Ebool), _81318)))), -(p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_81320, tyop_2Emin_2Ebool), _81318), s(_81320, 249 ^ [_81318, _81320])))))], (253 ^ _71922) ^ [_81599, _81601] : [254 ^ _71922 : [(255 ^ _71922) ^ [_81693] : [p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_81601, tyop_2Emin_2Ebool), _81599), s(_81601, _81693))))]], -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(_81601, tyop_2Emin_2Ebool), _81599)))))], (269 ^ _71922) ^ [_82203, _82205] : [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, _82205))), s(tyop_2Emin_2Ebool, _82203)))), 272 ^ _71922 : [(273 ^ _71922) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _82205)))], (275 ^ _71922) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _82203)))]]], (259 ^ _71922) ^ [_81910, _81912] : [-(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, _81912))), s(tyop_2Emin_2Ebool, _81910))))), p(s(tyop_2Emin_2Ebool, _81912)), p(s(tyop_2Emin_2Ebool, _81910))], (277 ^ _71922) ^ [_82561, _82563] : [278 ^ _71922 : [(279 ^ _71922) ^ [] : [p(s(tyop_2Emin_2Ebool, _82563))], (281 ^ _71922) ^ [] : [p(s(tyop_2Emin_2Ebool, _82561))]], -(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, _82563))), s(tyop_2Emin_2Ebool, _82561)))))], (285 ^ _71922) ^ [_82839, _82841] : [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, _82841))), s(tyop_2Emin_2Ebool, _82839)))), -(p(s(tyop_2Emin_2Ebool, _82841))), -(p(s(tyop_2Emin_2Ebool, _82839)))], (295 ^ _71922) ^ [_83198] : [-(p(s(tyop_2Emin_2Ebool, _83198))), -(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, _83198)))))], (301 ^ _71922) ^ [_83377] : [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, _83377)))), p(s(tyop_2Emin_2Ebool, _83377))], (307 ^ _71922) ^ [_83633, _83635] : [308 ^ _71922 : [(309 ^ _71922) ^ [] : [-(p(s(tyop_2Emin_2Ebool, _83635)))], (311 ^ _71922) ^ [] : [p(s(tyop_2Emin_2Ebool, _83633))]], -(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, _83635))), s(tyop_2Emin_2Ebool, _83633)))))], (315 ^ _71922) ^ [_83912, _83914] : [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, _83914))), s(tyop_2Emin_2Ebool, _83912)))), p(s(tyop_2Emin_2Ebool, _83914)), -(p(s(tyop_2Emin_2Ebool, _83912)))], (325 ^ _71922) ^ [_84298, _84300, _84302] : [s(_84302, _84300) = s(_84302, _84298), -(p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_84302, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(_84302, tyop_2Emin_2Efun(_84302, tyop_2Emin_2Ebool)), c_2Emin_2E_3D_2E0), s(_84302, _84300))), s(_84302, _84298)))))], (331 ^ _71922) ^ [_84536, _84538, _84540] : [p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_84540, tyop_2Emin_2Ebool), app_2E2(s(tyop_2Emin_2Efun(_84540, tyop_2Emin_2Efun(_84540, tyop_2Emin_2Ebool)), c_2Emin_2E_3D_2E0), s(_84540, _84538))), s(_84540, _84536)))), -(s(_84540, _84538) = s(_84540, _84536))], (337 ^ _71922) ^ [_84809, _84811] : [-(s(tyop_2Emin_2Ebool, c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(_84811, tyop_2Emin_2Ebool), _84809))) = s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_84811, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool), c_2Ebool_2E_21_2E0), s(tyop_2Emin_2Efun(_84811, tyop_2Emin_2Ebool), _84809))))], (339 ^ _71922) ^ [_84935, _84937] : [-(s(tyop_2Emin_2Ebool, c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(_84937, tyop_2Emin_2Ebool), _84935))) = s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(_84937, tyop_2Emin_2Ebool), tyop_2Emin_2Ebool), c_2Ebool_2E_3F_2E0), s(tyop_2Emin_2Efun(_84937, tyop_2Emin_2Ebool), _84935))))], (341 ^ _71922) ^ [] : [p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)), 344 ^ _71922 : [(345 ^ _71922) ^ [_85118] : [-(s(tyop_2Emin_2Ebool, _85118) = s(tyop_2Emin_2Ebool, _85118))]]], (347 ^ _71922) ^ [] : [s(tyop_2Emin_2Ebool, 348 ^ []) = s(tyop_2Emin_2Ebool, 348 ^ []), -(p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)))]], input).
% 0.32/1.39 ncf('1',plain,[p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0))],start(354 ^ 0)).
% 0.32/1.39 ncf('1.1',plain,[-(p(s(tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0)))],extension(139 ^ 1)).
% 0.32/1.39 %-----------------------------------------------------
% 0.32/1.39 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------