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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWW003_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:29:02 PM UTC 2026

% Result   : Theorem 2.63s 1.18s
% Output   : CNFRefutation 2.63s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f16ERROR: Could not build tree for root c_357ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    z1: $int ).

tff(func_def_1,type,
    z2: $int ).

tff(func_def_2,type,
    z3: $int ).

tff(func_def_3,type,
    z4: $int ).

tff(func_def_4,type,
    z5: $int ).

tff(func_def_5,type,
    a: $int > $int ).

tff(func_def_6,type,
    b: $int > $int ).

tff(f17,plain,
    ~ ( ( ! [X260: $int,X261: $int,X262: $int,X263: $int] :
            ~ ( $less(X261,X260)
              & ( 2 = b(X263) )
              & $less(b(X261),3)
              & ( 5 = b(X260) )
              & ( 4 = a(X262) )
              & ( 10 = a(X261) )
              & ( 7 = a(X260) )
              & ( X262 != X263 )
              & ( X261 != X263 )
              & ( X261 != X262 )
              & ( X260 != X263 )
              & ( X260 != X262 )
              & ( X260 != X261 ) )
        & ! [X256: $int,X257: $int,X258: $int,X259: $int] :
            ~ ( $less(X257,X256)
              & $less(b(X257),3)
              & ( 5 = b(X256) )
              & ( 2 = a(X259) )
              & ( 5 = a(X258) )
              & ( 10 = a(X257) )
              & ( 7 = a(X256) )
              & ( X258 != X259 )
              & ( X257 != X259 )
              & ( X257 != X258 )
              & ( X256 != X259 )
              & ( X256 != X258 )
              & ( X256 != X257 ) )
        & ! [X252: $int,X253: $int,X254: $int,X255: $int] :
            ~ ( $less(X253,X252)
              & $less(b(X253),3)
              & ( 5 = b(X252) )
              & ( 2 = a(X255) )
              & ( 7 = a(X254) )
              & ( 10 = a(X253) )
              & ( 5 = a(X252) )
              & ( X254 != X255 )
              & ( X253 != X255 )
              & ( X253 != X254 )
              & ( X252 != X255 )
              & ( X252 != X254 )
              & ( X252 != X253 ) )
        & ! [X248: $int,X249: $int,X250: $int,X251: $int] :
            ~ ( $less(X249,X248)
              & ( 5 = b(X250) )
              & $less(b(X249),3)
              & ( 2 = a(X251) )
              & ( 10 = a(X249) )
              & ( 4 = a(X248) )
              & ( X250 != X251 )
              & ( X249 != X251 )
              & ( X249 != X250 )
              & ( X248 != X251 )
              & ( X248 != X250 )
              & ( X248 != X249 ) )
        & ! [X244: $int,X245: $int,X246: $int,X247: $int] :
            ~ ( $less(X245,X244)
              & ( 5 = b(X246) )
              & $less(b(X245),3)
              & ( 1 = a(X247) )
              & ( 10 = a(X245) )
              & ( 5 = a(X244) )
              & ( X246 != X247 )
              & ( X245 != X247 )
              & ( X245 != X246 )
              & ( X244 != X247 )
              & ( X244 != X246 )
              & ( X244 != X245 ) )
        & ! [X240: $int,X241: $int,X242: $int,X243: $int] :
            ~ ( $less(X241,X240)
              & ( 2 = b(X243) )
              & $less(b(X241),3)
              & ( 8 = a(X242) )
              & ( 10 = a(X241) )
              & ( 4 = a(X240) )
              & ( X242 != X243 )
              & ( X241 != X243 )
              & ( X241 != X242 )
              & ( X240 != X243 )
              & ( X240 != X242 )
              & ( X240 != X241 ) )
        & ! [X236: $int,X237: $int,X238: $int,X239: $int] :
            ~ ( $less(X237,X236)
              & $less(b(X237),3)
              & ( 2 = a(X239) )
              & ( 8 = a(X238) )
              & ( 10 = a(X237) )
              & ( 5 = a(X236) )
              & ( X238 != X239 )
              & ( X237 != X239 )
              & ( X237 != X238 )
              & ( X236 != X239 )
              & ( X236 != X238 )
              & ( X236 != X237 ) )
        & ! [X232: $int,X233: $int,X234: $int,X235: $int] :
            ~ ( $less(X233,X232)
              & ( 2 = b(X235) )
              & ( 5 = b(X234) )
              & $less(b(X233),3)
              & ( 10 = a(X233) )
              & ( 4 = a(X232) )
              & ( X234 != X235 )
              & ( X233 != X235 )
              & ( X233 != X234 )
              & ( X232 != X235 )
              & ( X232 != X234 )
              & ( X232 != X233 ) )
        & ! [X228: $int,X229: $int,X230: $int,X231: $int] :
            ~ ( $less(X229,X228)
              & ( 5 = b(X230) )
              & $less(b(X229),3)
              & ( 2 = a(X231) )
              & ( 10 = a(X229) )
              & ( 5 = a(X228) )
              & ( X230 != X231 )
              & ( X229 != X231 )
              & ( X229 != X230 )
              & ( X228 != X231 )
              & ( X228 != X230 )
              & ( X228 != X229 ) )
        & ! [X225: $int,X226: $int,X227: $int] :
            ~ ( $less(X226,X225)
              & ( 2 = b(X226) )
              & ( 5 = b(X225) )
              & ( 4 = a(X227) )
              & ( 10 = a(X226) )
              & ( 12 = a(X225) )
              & ( X226 != X227 )
              & ( X225 != X227 )
              & ( X225 != X226 ) )
        & ! [X222: $int,X223: $int,X224: $int] :
            ~ ( $less(X223,X222)
              & ( 2 = b(X223) )
              & ( 5 = b(X222) )
              & ( 5 = a(X224) )
              & ( 10 = a(X223) )
              & ( 12 = a(X222) )
              & ( X223 != X224 )
              & ( X222 != X224 )
              & ( X222 != X223 ) )
        & ! [X219: $int,X220: $int,X221: $int] :
            ~ ( $less(X220,X219)
              & ( 2 = b(X220) )
              & ( 5 = b(X219) )
              & ( 4 = a(X221) )
              & ( 10 = a(X220) )
              & ( 1 = a(X219) )
              & ( X220 != X221 )
              & ( X219 != X221 )
              & ( X219 != X220 ) )
        & ! [X216: $int,X217: $int,X218: $int] :
            ~ ( $less(X217,X216)
              & ( 2 = b(X217) )
              & ( 5 = b(X216) )
              & ( 4 = a(X218) )
              & ( 10 = a(X217) )
              & ( 2 = a(X216) )
              & ( X217 != X218 )
              & ( X216 != X218 )
              & ( X216 != X217 ) )
        & ! [X213: $int,X214: $int,X215: $int] :
            ~ ( $less(X214,X213)
              & ( 2 = b(X214) )
              & ( 5 = b(X213) )
              & ( 6 = a(X215) )
              & ( 10 = a(X214) )
              & ( 12 = a(X213) )
              & ( X214 != X215 )
              & ( X213 != X215 )
              & ( X213 != X214 ) )
        & ! [X210: $int,X211: $int,X212: $int] :
            ~ ( $less(X211,X210)
              & ( 2 = b(X211) )
              & ( 5 = b(X210) )
              & ( 5 = a(X212) )
              & ( 10 = a(X211) )
              & ( 1 = a(X210) )
              & ( X211 != X212 )
              & ( X210 != X212 )
              & ( X210 != X211 ) )
        & ! [X206: $int,X207: $int,X208: $int,X209: $int] :
            ~ ( $less(X207,X206)
              & ( 5 = b(X209) )
              & ( 2 = b(X208) )
              & $less(b(X207),3)
              & ( 7 = a(X208) )
              & ( 10 = a(X207) )
              & ( 12 = a(X206) )
              & ( X208 != X209 )
              & ( X207 != X209 )
              & ( X207 != X208 )
              & ( X206 != X209 )
              & ( X206 != X208 )
              & ( X206 != X207 ) )
        & ! [X203: $int,X204: $int,X205: $int] :
            ~ ( $less(X204,X203)
              & ( 2 = b(X205) )
              & $less(b(X204),3)
              & ( 5 = b(X203) )
              & ( 7 = a(X205) )
              & ( 10 = a(X204) )
              & ( 12 = a(X203) )
              & ( X204 != X205 )
              & ( X203 != X205 )
              & ( X203 != X204 ) )
        & ! [X200: $int,X201: $int,X202: $int] :
            ~ ( $less(X201,X200)
              & ( 2 = b(X201) )
              & ( 5 = b(X200) )
              & ( 5 = a(X202) )
              & ( 10 = a(X201) )
              & ( 2 = a(X200) )
              & ( X201 != X202 )
              & ( X200 != X202 )
              & ( X200 != X201 ) )
        & ! [X196: $int,X197: $int,X198: $int,X199: $int] :
            ~ ( $less(X197,X196)
              & ( 5 = b(X199) )
              & $less(b(X198),4)
              & ( 2 = b(X197) )
              & ( 7 = a(X198) )
              & ( 10 = a(X197) )
              & ( 12 = a(X196) )
              & ( X198 != X199 )
              & ( X197 != X199 )
              & ( X197 != X198 )
              & ( X196 != X199 )
              & ( X196 != X198 )
              & ( X196 != X197 ) )
        & ! [X193: $int,X194: $int,X195: $int] :
            ~ ( $less(X194,X193)
              & $less(b(X195),4)
              & ( 2 = b(X194) )
              & ( 5 = b(X193) )
              & ( 7 = a(X195) )
              & ( 10 = a(X194) )
              & ( 12 = a(X193) )
              & ( X194 != X195 )
              & ( X193 != X195 )
              & ( X193 != X194 ) )
        & ! [X190: $int,X191: $int,X192: $int] :
            ~ ( $less(X191,X190)
              & ( 2 = b(X191) )
              & ( 5 = b(X190) )
              & ( 6 = a(X192) )
              & ( 10 = a(X191) )
              & ( 1 = a(X190) )
              & ( X191 != X192 )
              & ( X190 != X192 )
              & ( X190 != X191 ) )
        & ! [X187: $int,X188: $int,X189: $int] :
            ~ ( $less(X188,X187)
              & ( 2 = b(X189) )
              & $less(b(X188),3)
              & ( 8 = a(X189) )
              & ( 10 = a(X188) )
              & ( 12 = a(X187) )
              & ( X188 != X189 )
              & ( X187 != X189 )
              & ( X187 != X188 ) )
        & ! [X183: $int,X184: $int,X185: $int,X186: $int] :
            ~ ( $less(X184,X183)
              & ( 5 = b(X186) )
              & ( 2 = b(X185) )
              & $less(b(X184),3)
              & ( 7 = a(X185) )
              & ( 10 = a(X184) )
              & ( 1 = a(X183) )
              & ( X185 != X186 )
              & ( X184 != X186 )
              & ( X184 != X185 )
              & ( X183 != X186 )
              & ( X183 != X185 )
              & ( X183 != X184 ) )
        & ! [X180: $int,X181: $int,X182: $int] :
            ~ ( $less(X181,X180)
              & ( 2 = b(X182) )
              & $less(b(X181),3)
              & ( 5 = b(X180) )
              & ( 7 = a(X182) )
              & ( 10 = a(X181) )
              & ( 1 = a(X180) )
              & ( X181 != X182 )
              & ( X180 != X182 )
              & ( X180 != X181 ) )
        & ! [X177: $int,X178: $int,X179: $int] :
            ~ ( $less(X178,X177)
              & ( 2 = b(X178) )
              & ( 5 = b(X177) )
              & ( 4 = a(X179) )
              & ( 10 = a(X178) )
              & ( 4 = a(X177) )
              & ( X178 != X179 )
              & ( X177 != X179 )
              & ( X177 != X178 ) )
        & ! [X174: $int,X175: $int,X176: $int] :
            ~ ( $less(X175,X174)
              & ( 2 = b(X175) )
              & ( 5 = b(X174) )
              & ( 6 = a(X176) )
              & ( 10 = a(X175) )
              & ( 2 = a(X174) )
              & ( X175 != X176 )
              & ( X174 != X176 )
              & ( X174 != X175 ) )
        & ! [X171: $int,X172: $int,X173: $int] :
            ~ ( $less(X172,X171)
              & $less(b(X173),4)
              & ( 2 = b(X172) )
              & ( 8 = a(X173) )
              & ( 10 = a(X172) )
              & ( 12 = a(X171) )
              & ( X172 != X173 )
              & ( X171 != X173 )
              & ( X171 != X172 ) )
        & ! [X167: $int,X168: $int,X169: $int,X170: $int] :
            ~ ( $less(X168,X167)
              & ( 5 = b(X170) )
              & $less(b(X169),4)
              & ( 2 = b(X168) )
              & ( 7 = a(X169) )
              & ( 10 = a(X168) )
              & ( 1 = a(X167) )
              & ( X169 != X170 )
              & ( X168 != X170 )
              & ( X168 != X169 )
              & ( X167 != X170 )
              & ( X167 != X169 )
              & ( X167 != X168 ) )
        & ! [X164: $int,X165: $int,X166: $int] :
            ~ ( $less(X165,X164)
              & $less(b(X166),4)
              & ( 2 = b(X165) )
              & ( 5 = b(X164) )
              & ( 7 = a(X166) )
              & ( 10 = a(X165) )
              & ( 1 = a(X164) )
              & ( X165 != X166 )
              & ( X164 != X166 )
              & ( X164 != X165 ) )
        & ! [X160: $int,X161: $int,X162: $int,X163: $int] :
            ~ ( $less(X161,X160)
              & ( 5 = b(X163) )
              & ( 2 = b(X162) )
              & $less(b(X161),3)
              & ( 7 = a(X162) )
              & ( 10 = a(X161) )
              & ( 2 = a(X160) )
              & ( X162 != X163 )
              & ( X161 != X163 )
              & ( X161 != X162 )
              & ( X160 != X163 )
              & ( X160 != X162 )
              & ( X160 != X161 ) )
        & ! [X157: $int,X158: $int,X159: $int] :
            ~ ( $less(X158,X157)
              & ( 2 = b(X159) )
              & $less(b(X158),3)
              & ( 5 = b(X157) )
              & ( 7 = a(X159) )
              & ( 10 = a(X158) )
              & ( 2 = a(X157) )
              & ( X158 != X159 )
              & ( X157 != X159 )
              & ( X157 != X158 ) )
        & ! [X154: $int,X155: $int,X156: $int] :
            ~ ( $less(X155,X154)
              & ( 2 = b(X156) )
              & $less(b(X155),3)
              & ( 8 = a(X156) )
              & ( 10 = a(X155) )
              & ( 1 = a(X154) )
              & ( X155 != X156 )
              & ( X154 != X156 )
              & ( X154 != X155 ) )
        & ! [X151: $int,X152: $int,X153: $int] :
            ~ ( $less(X152,X151)
              & ( 2 = b(X152) )
              & ( 5 = b(X151) )
              & ( 4 = a(X153) )
              & ( 10 = a(X152) )
              & ( 5 = a(X151) )
              & ( X152 != X153 )
              & ( X151 != X153 )
              & ( X151 != X152 ) )
        & ! [X148: $int,X149: $int,X150: $int] :
            ~ ( $less(X149,X148)
              & ( 2 = b(X149) )
              & ( 5 = b(X148) )
              & ( 5 = a(X150) )
              & ( 10 = a(X149) )
              & ( 4 = a(X148) )
              & ( X149 != X150 )
              & ( X148 != X150 )
              & ( X148 != X149 ) )
        & ! [X144: $int,X145: $int,X146: $int,X147: $int] :
            ~ ( $less(X145,X144)
              & ( 5 = b(X147) )
              & $less(b(X146),4)
              & ( 2 = b(X145) )
              & ( 7 = a(X146) )
              & ( 10 = a(X145) )
              & ( 2 = a(X144) )
              & ( X146 != X147 )
              & ( X145 != X147 )
              & ( X145 != X146 )
              & ( X144 != X147 )
              & ( X144 != X146 )
              & ( X144 != X145 ) )
        & ! [X141: $int,X142: $int,X143: $int] :
            ~ ( $less(X142,X141)
              & $less(b(X143),4)
              & ( 2 = b(X142) )
              & ( 5 = b(X141) )
              & ( 7 = a(X143) )
              & ( 10 = a(X142) )
              & ( 2 = a(X141) )
              & ( X142 != X143 )
              & ( X141 != X143 )
              & ( X141 != X142 ) )
        & ! [X138: $int,X139: $int,X140: $int] :
            ~ ( $less(X139,X138)
              & $less(b(X140),4)
              & ( 2 = b(X139) )
              & ( 8 = a(X140) )
              & ( 10 = a(X139) )
              & ( 1 = a(X138) )
              & ( X139 != X140 )
              & ( X138 != X140 )
              & ( X138 != X139 ) )
        & ! [X135: $int,X136: $int,X137: $int] :
            ~ ( $less(X136,X135)
              & ( 2 = b(X136) )
              & ( 5 = b(X135) )
              & ( 4 = a(X137) )
              & ( 10 = a(X136) )
              & ( 6 = a(X135) )
              & ( X136 != X137 )
              & ( X135 != X137 )
              & ( X135 != X136 ) )
        & ! [X131: $int,X132: $int,X133: $int,X134: $int] :
            ~ ( $less(X132,X131)
              & ( 2 = b(X134) )
              & ( 2 = b(X133) )
              & $less(b(X132),3)
              & ( 5 = b(X131) )
              & ( 5 = a(X133) )
              & ( 10 = a(X132) )
              & ( 5 = a(X131) )
              & ( X133 != X134 )
              & ( X132 != X134 )
              & ( X132 != X133 )
              & ( X131 != X134 )
              & ( X131 != X133 )
              & ( X131 != X132 ) )
        & ! [X127: $int,X128: $int,X129: $int,X130: $int] :
            ~ ( $less(X128,X127)
              & ( 5 = b(X130) )
              & ( 2 = b(X129) )
              & $less(b(X128),3)
              & $less(b(X127),4)
              & ( 7 = a(X129) )
              & ( 10 = a(X128) )
              & ( 3 = a(X127) )
              & ( X129 != X130 )
              & ( X128 != X130 )
              & ( X128 != X129 )
              & ( X127 != X130 )
              & ( X127 != X129 )
              & ( X127 != X128 ) )
        & ! [X124: $int,X125: $int,X126: $int] :
            ~ ( $less(X125,X124)
              & ( 2 = b(X126) )
              & $less(b(X125),3)
              & ( 8 = a(X126) )
              & ( 10 = a(X125) )
              & ( 2 = a(X124) )
              & ( X125 != X126 )
              & ( X124 != X126 )
              & ( X124 != X125 ) )
        & ! [X121: $int,X122: $int,X123: $int] :
            ~ ( $less(X122,X121)
              & ( 2 = b(X122) )
              & ( 5 = b(X121) )
              & ( 5 = a(X123) )
              & ( 10 = a(X122) )
              & ( 5 = a(X121) )
              & ( X122 != X123 )
              & ( X121 != X123 )
              & ( X121 != X122 ) )
        & ! [X118: $int,X119: $int,X120: $int] :
            ~ ( $less(X119,X118)
              & ( 2 = b(X119) )
              & ( 5 = b(X118) )
              & ( 6 = a(X120) )
              & ( 10 = a(X119) )
              & ( 4 = a(X118) )
              & ( X119 != X120 )
              & ( X118 != X120 )
              & ( X118 != X119 ) )
        & ! [X114: $int,X115: $int,X116: $int,X117: $int] :
            ~ ( $less(X115,X114)
              & ( 5 = b(X117) )
              & $less(b(X116),4)
              & ( 2 = b(X115) )
              & $less(b(X114),4)
              & ( 7 = a(X116) )
              & ( 10 = a(X115) )
              & ( 3 = a(X114) )
              & ( X116 != X117 )
              & ( X115 != X117 )
              & ( X115 != X116 )
              & ( X114 != X117 )
              & ( X114 != X116 )
              & ( X114 != X115 ) )
        & ! [X111: $int,X112: $int,X113: $int] :
            ~ ( $less(X112,X111)
              & $less(b(X113),4)
              & ( 2 = b(X112) )
              & ( 8 = a(X113) )
              & ( 10 = a(X112) )
              & ( 2 = a(X111) )
              & ( X112 != X113 )
              & ( X111 != X113 )
              & ( X111 != X112 ) )
        & ! [X108: $int,X109: $int,X110: $int] :
            ~ ( $less(X109,X108)
              & ( 2 = b(X109) )
              & ( 5 = b(X108) )
              & ( 4 = a(X110) )
              & ( 10 = a(X109) )
              & ( 7 = a(X108) )
              & ( X109 != X110 )
              & ( X108 != X110 )
              & ( X108 != X109 ) )
        & ! [X104: $int,X105: $int,X106: $int,X107: $int] :
            ~ ( $less(X105,X104)
              & ( 2 = b(X107) )
              & $less(b(X105),3)
              & ( 5 = b(X104) )
              & ( 5 = a(X106) )
              & ( 10 = a(X105) )
              & ( 6 = a(X104) )
              & ( X106 != X107 )
              & ( X105 != X107 )
              & ( X105 != X106 )
              & ( X104 != X107 )
              & ( X104 != X106 )
              & ( X104 != X105 ) )
        & ! [X101: $int,X102: $int,X103: $int] :
            ~ ( $less(X102,X101)
              & ( 2 = b(X102) )
              & ( 5 = b(X101) )
              & ( 5 = a(X103) )
              & ( 10 = a(X102) )
              & ( 6 = a(X101) )
              & ( X102 != X103 )
              & ( X101 != X103 )
              & ( X101 != X102 ) )
        & ! [X97: $int,X98: $int,X99: $int,X100: $int] :
            ~ ( $less(X98,X97)
              & ( 2 = b(X100) )
              & $less(b(X98),3)
              & ( 5 = b(X97) )
              & ( 6 = a(X99) )
              & ( 10 = a(X98) )
              & ( 5 = a(X97) )
              & ( X99 != X100 )
              & ( X98 != X100 )
              & ( X98 != X99 )
              & ( X97 != X100 )
              & ( X97 != X99 )
              & ( X97 != X98 ) )
        & ! [X94: $int,X95: $int,X96: $int] :
            ~ ( $less(X95,X94)
              & ( 2 = b(X96) )
              & $less(b(X95),3)
              & ( 5 = b(X94) )
              & ( 6 = a(X96) )
              & ( 10 = a(X95) )
              & ( 5 = a(X94) )
              & ( X95 != X96 )
              & ( X94 != X96 )
              & ( X94 != X95 ) )
        & ! [X90: $int,X91: $int,X92: $int,X93: $int] :
            ~ ( $less(X91,X90)
              & ( 5 = b(X93) )
              & ( 2 = b(X92) )
              & $less(b(X91),3)
              & ( 7 = a(X92) )
              & ( 10 = a(X91) )
              & ( 4 = a(X90) )
              & ( X92 != X93 )
              & ( X91 != X93 )
              & ( X91 != X92 )
              & ( X90 != X93 )
              & ( X90 != X92 )
              & ( X90 != X91 ) )
        & ! [X87: $int,X88: $int,X89: $int] :
            ~ ( $less(X88,X87)
              & ( 2 = b(X89) )
              & $less(b(X88),3)
              & ( 5 = b(X87) )
              & ( 7 = a(X89) )
              & ( 10 = a(X88) )
              & ( 4 = a(X87) )
              & ( X88 != X89 )
              & ( X87 != X89 )
              & ( X87 != X88 ) )
        & ! [X84: $int,X85: $int,X86: $int] :
            ~ ( $less(X85,X84)
              & ( 2 = b(X86) )
              & $less(b(X85),3)
              & $less(b(X84),4)
              & ( 8 = a(X86) )
              & ( 10 = a(X85) )
              & ( 3 = a(X84) )
              & ( X85 != X86 )
              & ( X84 != X86 )
              & ( X84 != X85 ) )
        & ! [X81: $int,X82: $int,X83: $int] :
            ~ ( $less(X82,X81)
              & ( 2 = b(X82) )
              & ( 5 = b(X81) )
              & ( 6 = a(X83) )
              & ( 10 = a(X82) )
              & ( 5 = a(X81) )
              & ( X82 != X83 )
              & ( X81 != X83 )
              & ( X81 != X82 ) )
        & ! [X78: $int,X79: $int,X80: $int] :
            ~ ( $less(X79,X78)
              & ( 2 = b(X79) )
              & ( 5 = b(X78) )
              & ( 7 = a(X80) )
              & ( 10 = a(X79) )
              & ( 4 = a(X78) )
              & ( X79 != X80 )
              & ( X78 != X80 )
              & ( X78 != X79 ) )
        & ! [X75: $int,X76: $int,X77: $int] :
            ~ ( $less(X76,X75)
              & $less(b(X77),4)
              & ( 2 = b(X76) )
              & $less(b(X75),4)
              & ( 8 = a(X77) )
              & ( 10 = a(X76) )
              & ( 3 = a(X75) )
              & ( X76 != X77 )
              & ( X75 != X77 )
              & ( X75 != X76 ) )
        & ! [X71: $int,X72: $int,X73: $int,X74: $int] :
            ~ ( $less(X72,X71)
              & ( 2 = b(X74) )
              & $less(b(X72),3)
              & ( 5 = b(X71) )
              & ( 5 = a(X73) )
              & ( 10 = a(X72) )
              & ( 7 = a(X71) )
              & ( X73 != X74 )
              & ( X72 != X74 )
              & ( X72 != X73 )
              & ( X71 != X74 )
              & ( X71 != X73 )
              & ( X71 != X72 ) )
        & ! [X68: $int,X69: $int,X70: $int] :
            ~ ( $less(X69,X68)
              & ( 2 = b(X69) )
              & ( 5 = b(X68) )
              & ( 5 = a(X70) )
              & ( 10 = a(X69) )
              & ( 7 = a(X68) )
              & ( X69 != X70 )
              & ( X68 != X70 )
              & ( X68 != X69 ) )
        & ! [X65: $int,X66: $int,X67: $int] :
            ~ ( $less(X66,X65)
              & $less(b(X66),3)
              & ( 5 = b(X65) )
              & ( 6 = a(X67) )
              & ( 10 = a(X66) )
              & ( 6 = a(X65) )
              & ( X66 != X67 )
              & ( X65 != X67 )
              & ( X65 != X66 ) )
        & ! [X61: $int,X62: $int,X63: $int,X64: $int] :
            ~ ( $less(X62,X61)
              & ( 2 = b(X64) )
              & $less(b(X62),3)
              & ( 5 = b(X61) )
              & ( 7 = a(X63) )
              & ( 10 = a(X62) )
              & ( 5 = a(X61) )
              & ( X63 != X64 )
              & ( X62 != X64 )
              & ( X62 != X63 )
              & ( X61 != X64 )
              & ( X61 != X63 )
              & ( X61 != X62 ) )
        & ! [X58: $int,X59: $int,X60: $int] :
            ~ ( $less(X59,X58)
              & ( 2 = b(X60) )
              & $less(b(X59),3)
              & ( 5 = b(X58) )
              & ( 7 = a(X60) )
              & ( 10 = a(X59) )
              & ( 5 = a(X58) )
              & ( X59 != X60 )
              & ( X58 != X60 )
              & ( X58 != X59 ) )
        & ! [X55: $int,X56: $int,X57: $int] :
            ~ ( $less(X56,X55)
              & ( 2 = b(X57) )
              & $less(b(X56),3)
              & ( 8 = a(X57) )
              & ( 10 = a(X56) )
              & ( 4 = a(X55) )
              & ( X56 != X57 )
              & ( X55 != X57 )
              & ( X55 != X56 ) )
        & ! [X52: $int,X53: $int,X54: $int] :
            ~ ( $less(X53,X52)
              & ( 2 = b(X53) )
              & ( 5 = b(X52) )
              & ( 7 = a(X54) )
              & ( 10 = a(X53) )
              & ( 5 = a(X52) )
              & ( X53 != X54 )
              & ( X52 != X54 )
              & ( X52 != X53 ) )
        & ! [X49: $int,X50: $int,X51: $int] :
            ~ ( $less(X50,X49)
              & ( 2 = b(X50) )
              & ( 8 = a(X51) )
              & ( 10 = a(X50) )
              & ( 4 = a(X49) )
              & ( X50 != X51 )
              & ( X49 != X51 )
              & ( X49 != X50 ) )
        & ! [X46: $int,X47: $int,X48: $int] :
            ~ ( $less(X47,X46)
              & $less(b(X47),3)
              & ( 5 = b(X46) )
              & ( 6 = a(X48) )
              & ( 10 = a(X47) )
              & ( 7 = a(X46) )
              & ( X47 != X48 )
              & ( X46 != X48 )
              & ( X46 != X47 ) )
        & ! [X43: $int,X44: $int,X45: $int] :
            ~ ( $less(X44,X43)
              & $less(b(X44),3)
              & ( 5 = b(X43) )
              & ( 7 = a(X45) )
              & ( 10 = a(X44) )
              & ( 6 = a(X43) )
              & ( X44 != X45 )
              & ( X43 != X45 )
              & ( X43 != X44 ) )
        & ! [X39: $int,X40: $int,X41: $int,X42: $int] :
            ~ ( $less(X40,X39)
              & ( 2 = b(X42) )
              & $less(b(X40),3)
              & ( 8 = a(X41) )
              & ( 10 = a(X40) )
              & ( 5 = a(X39) )
              & ( X41 != X42 )
              & ( X40 != X42 )
              & ( X40 != X41 )
              & ( X39 != X42 )
              & ( X39 != X41 )
              & ( X39 != X40 ) )
        & ! [X36: $int,X37: $int,X38: $int] :
            ~ ( $less(X37,X36)
              & ( 2 = b(X38) )
              & $less(b(X37),3)
              & ( 8 = a(X38) )
              & ( 10 = a(X37) )
              & ( 5 = a(X36) )
              & ( X37 != X38 )
              & ( X36 != X38 )
              & ( X36 != X37 ) )
        & ! [X33: $int,X34: $int,X35: $int] :
            ~ ( $less(X34,X33)
              & ( 2 = b(X34) )
              & ( 8 = a(X35) )
              & ( 10 = a(X34) )
              & ( 5 = a(X33) )
              & ( X34 != X35 )
              & ( X33 != X35 )
              & ( X33 != X34 ) )
        & ! [X30: $int,X31: $int,X32: $int] :
            ~ ( $less(X31,X30)
              & ( 5 = b(X32) )
              & ( 2 = b(X31) )
              & ( 10 = a(X31) )
              & ( 4 = a(X30) )
              & ( X31 != X32 )
              & ( X30 != X32 )
              & ( X30 != X31 ) )
        & ! [X27: $int,X28: $int,X29: $int] :
            ~ ( $less(X28,X27)
              & $less(b(X28),3)
              & ( 5 = b(X27) )
              & ( 7 = a(X29) )
              & ( 10 = a(X28) )
              & ( 7 = a(X27) )
              & ( X28 != X29 )
              & ( X27 != X29 )
              & ( X27 != X28 ) )
        & ! [X24: $int,X25: $int,X26: $int] :
            ~ ( $less(X25,X24)
              & $less(b(X25),3)
              & ( 8 = a(X26) )
              & ( 10 = a(X25) )
              & ( 6 = a(X24) )
              & ( X25 != X26 )
              & ( X24 != X26 )
              & ( X24 != X25 ) )
        & ! [X20: $int,X21: $int,X22: $int,X23: $int] :
            ~ ( $less(X21,X20)
              & ( 2 = b(X23) )
              & ( 5 = b(X22) )
              & $less(b(X21),3)
              & ( 10 = a(X21) )
              & ( 5 = a(X20) )
              & ( X22 != X23 )
              & ( X21 != X23 )
              & ( X21 != X22 )
              & ( X20 != X23 )
              & ( X20 != X22 )
              & ( X20 != X21 ) )
        & ! [X17: $int,X18: $int,X19: $int] :
            ~ ( $less(X18,X17)
              & ( 5 = b(X19) )
              & ( 2 = b(X18) )
              & ( 10 = a(X18) )
              & ( 5 = a(X17) )
              & ( X18 != X19 )
              & ( X17 != X19 )
              & ( X17 != X18 ) )
        & ! [X14: $int,X15: $int,X16: $int] :
            ~ ( $less(X15,X14)
              & $less(b(X15),3)
              & ( 8 = a(X16) )
              & ( 10 = a(X15) )
              & ( 7 = a(X14) )
              & ( X15 != X16 )
              & ( X14 != X16 )
              & ( X14 != X15 ) )
        & ! [X11: $int,X12: $int,X13: $int] :
            ~ ( $less(X12,X11)
              & ( 5 = b(X13) )
              & $less(b(X12),3)
              & ( 10 = a(X12) )
              & ( 6 = a(X11) )
              & ( X12 != X13 )
              & ( X11 != X13 )
              & ( X11 != X12 ) )
        & ! [X8: $int,X9: $int,X10: $int] :
            ~ ( $less(X9,X8)
              & ( 5 = b(X10) )
              & $less(b(X9),3)
              & ( 10 = a(X9) )
              & ( 7 = a(X8) )
              & ( X9 != X10 )
              & ( X8 != X10 )
              & ( X8 != X9 ) )
        & ! [X6: $int,X7: $int] :
            ~ ( $less(X7,X6)
              & $less(b(X7),3)
              & ( 10 = a(X7) )
              & ( 8 = a(X6) )
              & ( X6 != X7 ) )
        & ! [X4: $int,X5: $int] :
            ~ ( $less(X5,X4)
              & $less(b(X5),3)
              & ( 10 = a(X5) )
              & ( 9 = a(X4) )
              & ( X4 != X5 ) )
        & ! [X2: $int,X3: $int] :
            ~ ( ( 10 = a(X3) )
              & ( 10 = a(X2) )
              & ( X2 != X3 ) )
        & ( z4 != z5 )
        & ( z3 != z5 )
        & ( z3 != z4 )
        & ( z2 != z5 )
        & ( z2 != z4 )
        & ( z2 != z3 )
        & ( z1 != z5 )
        & ( z1 != z4 )
        & ( z1 != z3 )
        & ( z1 != z2 )
        & ! [X1: $int] :
            ( ~ $less(5,b(X1))
            & ~ $less(b(X1),1) )
        & ! [X0: $int] :
            ( ~ $less(12,a(X0))
            & ~ $less(a(X0),1) ) )
     => ~ ( $less(z2,z1)
          & ( b(z4) = 2 )
          & $less(b(z2),3)
          & ( b(z1) = 5 )
          & ( a(z4) = 10 )
          & ( a(z3) = 5 )
          & ( a(z2) = 10 )
          & ( a(z1) = 7 ) ) ),
    inference(true_and_false_elimination,[],[f16]) ).

tff(f18,plain,
    ( ! [X260: $int,X261: $int,X262: $int,X263: $int] :
        ( ~ $less(X261,X260)
        | ( 2 != b(X263) )
        | ~ $less(b(X261),3)
        | ( 5 != b(X260) )
        | ( 4 != a(X262) )
        | ( 10 != a(X261) )
        | ( 7 != a(X260) )
        | ( X262 = X263 )
        | ( X261 = X263 )
        | ( X261 = X262 )
        | ( X260 = X263 )
        | ( X260 = X262 )
        | ( X260 = X261 ) )
    & ! [X256: $int,X257: $int,X258: $int,X259: $int] :
        ( ~ $less(X257,X256)
        | ~ $less(b(X257),3)
        | ( 5 != b(X256) )
        | ( 2 != a(X259) )
        | ( 5 != a(X258) )
        | ( 10 != a(X257) )
        | ( 7 != a(X256) )
        | ( X258 = X259 )
        | ( X257 = X259 )
        | ( X257 = X258 )
        | ( X256 = X259 )
        | ( X256 = X258 )
        | ( X256 = X257 ) )
    & ! [X252: $int,X253: $int,X254: $int,X255: $int] :
        ( ~ $less(X253,X252)
        | ~ $less(b(X253),3)
        | ( 5 != b(X252) )
        | ( 2 != a(X255) )
        | ( 7 != a(X254) )
        | ( 10 != a(X253) )
        | ( 5 != a(X252) )
        | ( X254 = X255 )
        | ( X253 = X255 )
        | ( X253 = X254 )
        | ( X252 = X255 )
        | ( X252 = X254 )
        | ( X252 = X253 ) )
    & ! [X248: $int,X249: $int,X250: $int,X251: $int] :
        ( ~ $less(X249,X248)
        | ( 5 != b(X250) )
        | ~ $less(b(X249),3)
        | ( 2 != a(X251) )
        | ( 10 != a(X249) )
        | ( 4 != a(X248) )
        | ( X250 = X251 )
        | ( X249 = X251 )
        | ( X249 = X250 )
        | ( X248 = X251 )
        | ( X248 = X250 )
        | ( X248 = X249 ) )
    & ! [X244: $int,X245: $int,X246: $int,X247: $int] :
        ( ~ $less(X245,X244)
        | ( 5 != b(X246) )
        | ~ $less(b(X245),3)
        | ( 1 != a(X247) )
        | ( 10 != a(X245) )
        | ( 5 != a(X244) )
        | ( X246 = X247 )
        | ( X245 = X247 )
        | ( X245 = X246 )
        | ( X244 = X247 )
        | ( X244 = X246 )
        | ( X244 = X245 ) )
    & ! [X240: $int,X241: $int,X242: $int,X243: $int] :
        ( ~ $less(X241,X240)
        | ( 2 != b(X243) )
        | ~ $less(b(X241),3)
        | ( 8 != a(X242) )
        | ( 10 != a(X241) )
        | ( 4 != a(X240) )
        | ( X242 = X243 )
        | ( X241 = X243 )
        | ( X241 = X242 )
        | ( X240 = X243 )
        | ( X240 = X242 )
        | ( X240 = X241 ) )
    & ! [X236: $int,X237: $int,X238: $int,X239: $int] :
        ( ~ $less(X237,X236)
        | ~ $less(b(X237),3)
        | ( 2 != a(X239) )
        | ( 8 != a(X238) )
        | ( 10 != a(X237) )
        | ( 5 != a(X236) )
        | ( X238 = X239 )
        | ( X237 = X239 )
        | ( X237 = X238 )
        | ( X236 = X239 )
        | ( X236 = X238 )
        | ( X236 = X237 ) )
    & ! [X232: $int,X233: $int,X234: $int,X235: $int] :
        ( ~ $less(X233,X232)
        | ( 2 != b(X235) )
        | ( 5 != b(X234) )
        | ~ $less(b(X233),3)
        | ( 10 != a(X233) )
        | ( 4 != a(X232) )
        | ( X234 = X235 )
        | ( X233 = X235 )
        | ( X233 = X234 )
        | ( X232 = X235 )
        | ( X232 = X234 )
        | ( X232 = X233 ) )
    & ! [X228: $int,X229: $int,X230: $int,X231: $int] :
        ( ~ $less(X229,X228)
        | ( 5 != b(X230) )
        | ~ $less(b(X229),3)
        | ( 2 != a(X231) )
        | ( 10 != a(X229) )
        | ( 5 != a(X228) )
        | ( X230 = X231 )
        | ( X229 = X231 )
        | ( X229 = X230 )
        | ( X228 = X231 )
        | ( X228 = X230 )
        | ( X228 = X229 ) )
    & ! [X225: $int,X226: $int,X227: $int] :
        ( ~ $less(X226,X225)
        | ( 2 != b(X226) )
        | ( 5 != b(X225) )
        | ( 4 != a(X227) )
        | ( 10 != a(X226) )
        | ( 12 != a(X225) )
        | ( X226 = X227 )
        | ( X225 = X227 )
        | ( X225 = X226 ) )
    & ! [X222: $int,X223: $int,X224: $int] :
        ( ~ $less(X223,X222)
        | ( 2 != b(X223) )
        | ( 5 != b(X222) )
        | ( 5 != a(X224) )
        | ( 10 != a(X223) )
        | ( 12 != a(X222) )
        | ( X223 = X224 )
        | ( X222 = X224 )
        | ( X222 = X223 ) )
    & ! [X219: $int,X220: $int,X221: $int] :
        ( ~ $less(X220,X219)
        | ( 2 != b(X220) )
        | ( 5 != b(X219) )
        | ( 4 != a(X221) )
        | ( 10 != a(X220) )
        | ( 1 != a(X219) )
        | ( X220 = X221 )
        | ( X219 = X221 )
        | ( X219 = X220 ) )
    & ! [X216: $int,X217: $int,X218: $int] :
        ( ~ $less(X217,X216)
        | ( 2 != b(X217) )
        | ( 5 != b(X216) )
        | ( 4 != a(X218) )
        | ( 10 != a(X217) )
        | ( 2 != a(X216) )
        | ( X217 = X218 )
        | ( X216 = X218 )
        | ( X216 = X217 ) )
    & ! [X213: $int,X214: $int,X215: $int] :
        ( ~ $less(X214,X213)
        | ( 2 != b(X214) )
        | ( 5 != b(X213) )
        | ( 6 != a(X215) )
        | ( 10 != a(X214) )
        | ( 12 != a(X213) )
        | ( X214 = X215 )
        | ( X213 = X215 )
        | ( X213 = X214 ) )
    & ! [X210: $int,X211: $int,X212: $int] :
        ( ~ $less(X211,X210)
        | ( 2 != b(X211) )
        | ( 5 != b(X210) )
        | ( 5 != a(X212) )
        | ( 10 != a(X211) )
        | ( 1 != a(X210) )
        | ( X211 = X212 )
        | ( X210 = X212 )
        | ( X210 = X211 ) )
    & ! [X206: $int,X207: $int,X208: $int,X209: $int] :
        ( ~ $less(X207,X206)
        | ( 5 != b(X209) )
        | ( 2 != b(X208) )
        | ~ $less(b(X207),3)
        | ( 7 != a(X208) )
        | ( 10 != a(X207) )
        | ( 12 != a(X206) )
        | ( X208 = X209 )
        | ( X207 = X209 )
        | ( X207 = X208 )
        | ( X206 = X209 )
        | ( X206 = X208 )
        | ( X206 = X207 ) )
    & ! [X203: $int,X204: $int,X205: $int] :
        ( ~ $less(X204,X203)
        | ( 2 != b(X205) )
        | ~ $less(b(X204),3)
        | ( 5 != b(X203) )
        | ( 7 != a(X205) )
        | ( 10 != a(X204) )
        | ( 12 != a(X203) )
        | ( X204 = X205 )
        | ( X203 = X205 )
        | ( X203 = X204 ) )
    & ! [X200: $int,X201: $int,X202: $int] :
        ( ~ $less(X201,X200)
        | ( 2 != b(X201) )
        | ( 5 != b(X200) )
        | ( 5 != a(X202) )
        | ( 10 != a(X201) )
        | ( 2 != a(X200) )
        | ( X201 = X202 )
        | ( X200 = X202 )
        | ( X200 = X201 ) )
    & ! [X196: $int,X197: $int,X198: $int,X199: $int] :
        ( ~ $less(X197,X196)
        | ( 5 != b(X199) )
        | ~ $less(b(X198),4)
        | ( 2 != b(X197) )
        | ( 7 != a(X198) )
        | ( 10 != a(X197) )
        | ( 12 != a(X196) )
        | ( X198 = X199 )
        | ( X197 = X199 )
        | ( X197 = X198 )
        | ( X196 = X199 )
        | ( X196 = X198 )
        | ( X196 = X197 ) )
    & ! [X193: $int,X194: $int,X195: $int] :
        ( ~ $less(X194,X193)
        | ~ $less(b(X195),4)
        | ( 2 != b(X194) )
        | ( 5 != b(X193) )
        | ( 7 != a(X195) )
        | ( 10 != a(X194) )
        | ( 12 != a(X193) )
        | ( X194 = X195 )
        | ( X193 = X195 )
        | ( X193 = X194 ) )
    & ! [X190: $int,X191: $int,X192: $int] :
        ( ~ $less(X191,X190)
        | ( 2 != b(X191) )
        | ( 5 != b(X190) )
        | ( 6 != a(X192) )
        | ( 10 != a(X191) )
        | ( 1 != a(X190) )
        | ( X191 = X192 )
        | ( X190 = X192 )
        | ( X190 = X191 ) )
    & ! [X187: $int,X188: $int,X189: $int] :
        ( ~ $less(X188,X187)
        | ( 2 != b(X189) )
        | ~ $less(b(X188),3)
        | ( 8 != a(X189) )
        | ( 10 != a(X188) )
        | ( 12 != a(X187) )
        | ( X188 = X189 )
        | ( X187 = X189 )
        | ( X187 = X188 ) )
    & ! [X183: $int,X184: $int,X185: $int,X186: $int] :
        ( ~ $less(X184,X183)
        | ( 5 != b(X186) )
        | ( 2 != b(X185) )
        | ~ $less(b(X184),3)
        | ( 7 != a(X185) )
        | ( 10 != a(X184) )
        | ( 1 != a(X183) )
        | ( X185 = X186 )
        | ( X184 = X186 )
        | ( X184 = X185 )
        | ( X183 = X186 )
        | ( X183 = X185 )
        | ( X183 = X184 ) )
    & ! [X180: $int,X181: $int,X182: $int] :
        ( ~ $less(X181,X180)
        | ( 2 != b(X182) )
        | ~ $less(b(X181),3)
        | ( 5 != b(X180) )
        | ( 7 != a(X182) )
        | ( 10 != a(X181) )
        | ( 1 != a(X180) )
        | ( X181 = X182 )
        | ( X180 = X182 )
        | ( X180 = X181 ) )
    & ! [X177: $int,X178: $int,X179: $int] :
        ( ~ $less(X178,X177)
        | ( 2 != b(X178) )
        | ( 5 != b(X177) )
        | ( 4 != a(X179) )
        | ( 10 != a(X178) )
        | ( 4 != a(X177) )
        | ( X178 = X179 )
        | ( X177 = X179 )
        | ( X177 = X178 ) )
    & ! [X174: $int,X175: $int,X176: $int] :
        ( ~ $less(X175,X174)
        | ( 2 != b(X175) )
        | ( 5 != b(X174) )
        | ( 6 != a(X176) )
        | ( 10 != a(X175) )
        | ( 2 != a(X174) )
        | ( X175 = X176 )
        | ( X174 = X176 )
        | ( X174 = X175 ) )
    & ! [X171: $int,X172: $int,X173: $int] :
        ( ~ $less(X172,X171)
        | ~ $less(b(X173),4)
        | ( 2 != b(X172) )
        | ( 8 != a(X173) )
        | ( 10 != a(X172) )
        | ( 12 != a(X171) )
        | ( X172 = X173 )
        | ( X171 = X173 )
        | ( X171 = X172 ) )
    & ! [X167: $int,X168: $int,X169: $int,X170: $int] :
        ( ~ $less(X168,X167)
        | ( 5 != b(X170) )
        | ~ $less(b(X169),4)
        | ( 2 != b(X168) )
        | ( 7 != a(X169) )
        | ( 10 != a(X168) )
        | ( 1 != a(X167) )
        | ( X169 = X170 )
        | ( X168 = X170 )
        | ( X168 = X169 )
        | ( X167 = X170 )
        | ( X167 = X169 )
        | ( X167 = X168 ) )
    & ! [X164: $int,X165: $int,X166: $int] :
        ( ~ $less(X165,X164)
        | ~ $less(b(X166),4)
        | ( 2 != b(X165) )
        | ( 5 != b(X164) )
        | ( 7 != a(X166) )
        | ( 10 != a(X165) )
        | ( 1 != a(X164) )
        | ( X165 = X166 )
        | ( X164 = X166 )
        | ( X164 = X165 ) )
    & ! [X160: $int,X161: $int,X162: $int,X163: $int] :
        ( ~ $less(X161,X160)
        | ( 5 != b(X163) )
        | ( 2 != b(X162) )
        | ~ $less(b(X161),3)
        | ( 7 != a(X162) )
        | ( 10 != a(X161) )
        | ( 2 != a(X160) )
        | ( X162 = X163 )
        | ( X161 = X163 )
        | ( X161 = X162 )
        | ( X160 = X163 )
        | ( X160 = X162 )
        | ( X160 = X161 ) )
    & ! [X157: $int,X158: $int,X159: $int] :
        ( ~ $less(X158,X157)
        | ( 2 != b(X159) )
        | ~ $less(b(X158),3)
        | ( 5 != b(X157) )
        | ( 7 != a(X159) )
        | ( 10 != a(X158) )
        | ( 2 != a(X157) )
        | ( X158 = X159 )
        | ( X157 = X159 )
        | ( X157 = X158 ) )
    & ! [X154: $int,X155: $int,X156: $int] :
        ( ~ $less(X155,X154)
        | ( 2 != b(X156) )
        | ~ $less(b(X155),3)
        | ( 8 != a(X156) )
        | ( 10 != a(X155) )
        | ( 1 != a(X154) )
        | ( X155 = X156 )
        | ( X154 = X156 )
        | ( X154 = X155 ) )
    & ! [X151: $int,X152: $int,X153: $int] :
        ( ~ $less(X152,X151)
        | ( 2 != b(X152) )
        | ( 5 != b(X151) )
        | ( 4 != a(X153) )
        | ( 10 != a(X152) )
        | ( 5 != a(X151) )
        | ( X152 = X153 )
        | ( X151 = X153 )
        | ( X151 = X152 ) )
    & ! [X148: $int,X149: $int,X150: $int] :
        ( ~ $less(X149,X148)
        | ( 2 != b(X149) )
        | ( 5 != b(X148) )
        | ( 5 != a(X150) )
        | ( 10 != a(X149) )
        | ( 4 != a(X148) )
        | ( X149 = X150 )
        | ( X148 = X150 )
        | ( X148 = X149 ) )
    & ! [X144: $int,X145: $int,X146: $int,X147: $int] :
        ( ~ $less(X145,X144)
        | ( 5 != b(X147) )
        | ~ $less(b(X146),4)
        | ( 2 != b(X145) )
        | ( 7 != a(X146) )
        | ( 10 != a(X145) )
        | ( 2 != a(X144) )
        | ( X146 = X147 )
        | ( X145 = X147 )
        | ( X145 = X146 )
        | ( X144 = X147 )
        | ( X144 = X146 )
        | ( X144 = X145 ) )
    & ! [X141: $int,X142: $int,X143: $int] :
        ( ~ $less(X142,X141)
        | ~ $less(b(X143),4)
        | ( 2 != b(X142) )
        | ( 5 != b(X141) )
        | ( 7 != a(X143) )
        | ( 10 != a(X142) )
        | ( 2 != a(X141) )
        | ( X142 = X143 )
        | ( X141 = X143 )
        | ( X141 = X142 ) )
    & ! [X138: $int,X139: $int,X140: $int] :
        ( ~ $less(X139,X138)
        | ~ $less(b(X140),4)
        | ( 2 != b(X139) )
        | ( 8 != a(X140) )
        | ( 10 != a(X139) )
        | ( 1 != a(X138) )
        | ( X139 = X140 )
        | ( X138 = X140 )
        | ( X138 = X139 ) )
    & ! [X135: $int,X136: $int,X137: $int] :
        ( ~ $less(X136,X135)
        | ( 2 != b(X136) )
        | ( 5 != b(X135) )
        | ( 4 != a(X137) )
        | ( 10 != a(X136) )
        | ( 6 != a(X135) )
        | ( X136 = X137 )
        | ( X135 = X137 )
        | ( X135 = X136 ) )
    & ! [X131: $int,X132: $int,X133: $int,X134: $int] :
        ( ~ $less(X132,X131)
        | ( 2 != b(X134) )
        | ( 2 != b(X133) )
        | ~ $less(b(X132),3)
        | ( 5 != b(X131) )
        | ( 5 != a(X133) )
        | ( 10 != a(X132) )
        | ( 5 != a(X131) )
        | ( X133 = X134 )
        | ( X132 = X134 )
        | ( X132 = X133 )
        | ( X131 = X134 )
        | ( X131 = X133 )
        | ( X131 = X132 ) )
    & ! [X127: $int,X128: $int,X129: $int,X130: $int] :
        ( ~ $less(X128,X127)
        | ( 5 != b(X130) )
        | ( 2 != b(X129) )
        | ~ $less(b(X128),3)
        | ~ $less(b(X127),4)
        | ( 7 != a(X129) )
        | ( 10 != a(X128) )
        | ( 3 != a(X127) )
        | ( X129 = X130 )
        | ( X128 = X130 )
        | ( X128 = X129 )
        | ( X127 = X130 )
        | ( X127 = X129 )
        | ( X127 = X128 ) )
    & ! [X124: $int,X125: $int,X126: $int] :
        ( ~ $less(X125,X124)
        | ( 2 != b(X126) )
        | ~ $less(b(X125),3)
        | ( 8 != a(X126) )
        | ( 10 != a(X125) )
        | ( 2 != a(X124) )
        | ( X125 = X126 )
        | ( X124 = X126 )
        | ( X124 = X125 ) )
    & ! [X121: $int,X122: $int,X123: $int] :
        ( ~ $less(X122,X121)
        | ( 2 != b(X122) )
        | ( 5 != b(X121) )
        | ( 5 != a(X123) )
        | ( 10 != a(X122) )
        | ( 5 != a(X121) )
        | ( X122 = X123 )
        | ( X121 = X123 )
        | ( X121 = X122 ) )
    & ! [X118: $int,X119: $int,X120: $int] :
        ( ~ $less(X119,X118)
        | ( 2 != b(X119) )
        | ( 5 != b(X118) )
        | ( 6 != a(X120) )
        | ( 10 != a(X119) )
        | ( 4 != a(X118) )
        | ( X119 = X120 )
        | ( X118 = X120 )
        | ( X118 = X119 ) )
    & ! [X114: $int,X115: $int,X116: $int,X117: $int] :
        ( ~ $less(X115,X114)
        | ( 5 != b(X117) )
        | ~ $less(b(X116),4)
        | ( 2 != b(X115) )
        | ~ $less(b(X114),4)
        | ( 7 != a(X116) )
        | ( 10 != a(X115) )
        | ( 3 != a(X114) )
        | ( X116 = X117 )
        | ( X115 = X117 )
        | ( X115 = X116 )
        | ( X114 = X117 )
        | ( X114 = X116 )
        | ( X114 = X115 ) )
    & ! [X111: $int,X112: $int,X113: $int] :
        ( ~ $less(X112,X111)
        | ~ $less(b(X113),4)
        | ( 2 != b(X112) )
        | ( 8 != a(X113) )
        | ( 10 != a(X112) )
        | ( 2 != a(X111) )
        | ( X112 = X113 )
        | ( X111 = X113 )
        | ( X111 = X112 ) )
    & ! [X108: $int,X109: $int,X110: $int] :
        ( ~ $less(X109,X108)
        | ( 2 != b(X109) )
        | ( 5 != b(X108) )
        | ( 4 != a(X110) )
        | ( 10 != a(X109) )
        | ( 7 != a(X108) )
        | ( X109 = X110 )
        | ( X108 = X110 )
        | ( X108 = X109 ) )
    & ! [X104: $int,X105: $int,X106: $int,X107: $int] :
        ( ~ $less(X105,X104)
        | ( 2 != b(X107) )
        | ~ $less(b(X105),3)
        | ( 5 != b(X104) )
        | ( 5 != a(X106) )
        | ( 10 != a(X105) )
        | ( 6 != a(X104) )
        | ( X106 = X107 )
        | ( X105 = X107 )
        | ( X105 = X106 )
        | ( X104 = X107 )
        | ( X104 = X106 )
        | ( X104 = X105 ) )
    & ! [X101: $int,X102: $int,X103: $int] :
        ( ~ $less(X102,X101)
        | ( 2 != b(X102) )
        | ( 5 != b(X101) )
        | ( 5 != a(X103) )
        | ( 10 != a(X102) )
        | ( 6 != a(X101) )
        | ( X102 = X103 )
        | ( X101 = X103 )
        | ( X101 = X102 ) )
    & ! [X97: $int,X98: $int,X99: $int,X100: $int] :
        ( ~ $less(X98,X97)
        | ( 2 != b(X100) )
        | ~ $less(b(X98),3)
        | ( 5 != b(X97) )
        | ( 6 != a(X99) )
        | ( 10 != a(X98) )
        | ( 5 != a(X97) )
        | ( X99 = X100 )
        | ( X98 = X100 )
        | ( X98 = X99 )
        | ( X97 = X100 )
        | ( X97 = X99 )
        | ( X97 = X98 ) )
    & ! [X94: $int,X95: $int,X96: $int] :
        ( ~ $less(X95,X94)
        | ( 2 != b(X96) )
        | ~ $less(b(X95),3)
        | ( 5 != b(X94) )
        | ( 6 != a(X96) )
        | ( 10 != a(X95) )
        | ( 5 != a(X94) )
        | ( X95 = X96 )
        | ( X94 = X96 )
        | ( X94 = X95 ) )
    & ! [X90: $int,X91: $int,X92: $int,X93: $int] :
        ( ~ $less(X91,X90)
        | ( 5 != b(X93) )
        | ( 2 != b(X92) )
        | ~ $less(b(X91),3)
        | ( 7 != a(X92) )
        | ( 10 != a(X91) )
        | ( 4 != a(X90) )
        | ( X92 = X93 )
        | ( X91 = X93 )
        | ( X91 = X92 )
        | ( X90 = X93 )
        | ( X90 = X92 )
        | ( X90 = X91 ) )
    & ! [X87: $int,X88: $int,X89: $int] :
        ( ~ $less(X88,X87)
        | ( 2 != b(X89) )
        | ~ $less(b(X88),3)
        | ( 5 != b(X87) )
        | ( 7 != a(X89) )
        | ( 10 != a(X88) )
        | ( 4 != a(X87) )
        | ( X88 = X89 )
        | ( X87 = X89 )
        | ( X87 = X88 ) )
    & ! [X84: $int,X85: $int,X86: $int] :
        ( ~ $less(X85,X84)
        | ( 2 != b(X86) )
        | ~ $less(b(X85),3)
        | ~ $less(b(X84),4)
        | ( 8 != a(X86) )
        | ( 10 != a(X85) )
        | ( 3 != a(X84) )
        | ( X85 = X86 )
        | ( X84 = X86 )
        | ( X84 = X85 ) )
    & ! [X81: $int,X82: $int,X83: $int] :
        ( ~ $less(X82,X81)
        | ( 2 != b(X82) )
        | ( 5 != b(X81) )
        | ( 6 != a(X83) )
        | ( 10 != a(X82) )
        | ( 5 != a(X81) )
        | ( X82 = X83 )
        | ( X81 = X83 )
        | ( X81 = X82 ) )
    & ! [X78: $int,X79: $int,X80: $int] :
        ( ~ $less(X79,X78)
        | ( 2 != b(X79) )
        | ( 5 != b(X78) )
        | ( 7 != a(X80) )
        | ( 10 != a(X79) )
        | ( 4 != a(X78) )
        | ( X79 = X80 )
        | ( X78 = X80 )
        | ( X78 = X79 ) )
    & ! [X75: $int,X76: $int,X77: $int] :
        ( ~ $less(X76,X75)
        | ~ $less(b(X77),4)
        | ( 2 != b(X76) )
        | ~ $less(b(X75),4)
        | ( 8 != a(X77) )
        | ( 10 != a(X76) )
        | ( 3 != a(X75) )
        | ( X76 = X77 )
        | ( X75 = X77 )
        | ( X75 = X76 ) )
    & ! [X71: $int,X72: $int,X73: $int,X74: $int] :
        ( ~ $less(X72,X71)
        | ( 2 != b(X74) )
        | ~ $less(b(X72),3)
        | ( 5 != b(X71) )
        | ( 5 != a(X73) )
        | ( 10 != a(X72) )
        | ( 7 != a(X71) )
        | ( X73 = X74 )
        | ( X72 = X74 )
        | ( X72 = X73 )
        | ( X71 = X74 )
        | ( X71 = X73 )
        | ( X71 = X72 ) )
    & ! [X68: $int,X69: $int,X70: $int] :
        ( ~ $less(X69,X68)
        | ( 2 != b(X69) )
        | ( 5 != b(X68) )
        | ( 5 != a(X70) )
        | ( 10 != a(X69) )
        | ( 7 != a(X68) )
        | ( X69 = X70 )
        | ( X68 = X70 )
        | ( X68 = X69 ) )
    & ! [X65: $int,X66: $int,X67: $int] :
        ( ~ $less(X66,X65)
        | ~ $less(b(X66),3)
        | ( 5 != b(X65) )
        | ( 6 != a(X67) )
        | ( 10 != a(X66) )
        | ( 6 != a(X65) )
        | ( X66 = X67 )
        | ( X65 = X67 )
        | ( X65 = X66 ) )
    & ! [X61: $int,X62: $int,X63: $int,X64: $int] :
        ( ~ $less(X62,X61)
        | ( 2 != b(X64) )
        | ~ $less(b(X62),3)
        | ( 5 != b(X61) )
        | ( 7 != a(X63) )
        | ( 10 != a(X62) )
        | ( 5 != a(X61) )
        | ( X63 = X64 )
        | ( X62 = X64 )
        | ( X62 = X63 )
        | ( X61 = X64 )
        | ( X61 = X63 )
        | ( X61 = X62 ) )
    & ! [X58: $int,X59: $int,X60: $int] :
        ( ~ $less(X59,X58)
        | ( 2 != b(X60) )
        | ~ $less(b(X59),3)
        | ( 5 != b(X58) )
        | ( 7 != a(X60) )
        | ( 10 != a(X59) )
        | ( 5 != a(X58) )
        | ( X59 = X60 )
        | ( X58 = X60 )
        | ( X58 = X59 ) )
    & ! [X55: $int,X56: $int,X57: $int] :
        ( ~ $less(X56,X55)
        | ( 2 != b(X57) )
        | ~ $less(b(X56),3)
        | ( 8 != a(X57) )
        | ( 10 != a(X56) )
        | ( 4 != a(X55) )
        | ( X56 = X57 )
        | ( X55 = X57 )
        | ( X55 = X56 ) )
    & ! [X52: $int,X53: $int,X54: $int] :
        ( ~ $less(X53,X52)
        | ( 2 != b(X53) )
        | ( 5 != b(X52) )
        | ( 7 != a(X54) )
        | ( 10 != a(X53) )
        | ( 5 != a(X52) )
        | ( X53 = X54 )
        | ( X52 = X54 )
        | ( X52 = X53 ) )
    & ! [X49: $int,X50: $int,X51: $int] :
        ( ~ $less(X50,X49)
        | ( 2 != b(X50) )
        | ( 8 != a(X51) )
        | ( 10 != a(X50) )
        | ( 4 != a(X49) )
        | ( X50 = X51 )
        | ( X49 = X51 )
        | ( X49 = X50 ) )
    & ! [X46: $int,X47: $int,X48: $int] :
        ( ~ $less(X47,X46)
        | ~ $less(b(X47),3)
        | ( 5 != b(X46) )
        | ( 6 != a(X48) )
        | ( 10 != a(X47) )
        | ( 7 != a(X46) )
        | ( X47 = X48 )
        | ( X46 = X48 )
        | ( X46 = X47 ) )
    & ! [X43: $int,X44: $int,X45: $int] :
        ( ~ $less(X44,X43)
        | ~ $less(b(X44),3)
        | ( 5 != b(X43) )
        | ( 7 != a(X45) )
        | ( 10 != a(X44) )
        | ( 6 != a(X43) )
        | ( X44 = X45 )
        | ( X43 = X45 )
        | ( X43 = X44 ) )
    & ! [X39: $int,X40: $int,X41: $int,X42: $int] :
        ( ~ $less(X40,X39)
        | ( 2 != b(X42) )
        | ~ $less(b(X40),3)
        | ( 8 != a(X41) )
        | ( 10 != a(X40) )
        | ( 5 != a(X39) )
        | ( X41 = X42 )
        | ( X40 = X42 )
        | ( X40 = X41 )
        | ( X39 = X42 )
        | ( X39 = X41 )
        | ( X39 = X40 ) )
    & ! [X36: $int,X37: $int,X38: $int] :
        ( ~ $less(X37,X36)
        | ( 2 != b(X38) )
        | ~ $less(b(X37),3)
        | ( 8 != a(X38) )
        | ( 10 != a(X37) )
        | ( 5 != a(X36) )
        | ( X37 = X38 )
        | ( X36 = X38 )
        | ( X36 = X37 ) )
    & ! [X33: $int,X34: $int,X35: $int] :
        ( ~ $less(X34,X33)
        | ( 2 != b(X34) )
        | ( 8 != a(X35) )
        | ( 10 != a(X34) )
        | ( 5 != a(X33) )
        | ( X34 = X35 )
        | ( X33 = X35 )
        | ( X33 = X34 ) )
    & ! [X30: $int,X31: $int,X32: $int] :
        ( ~ $less(X31,X30)
        | ( 5 != b(X32) )
        | ( 2 != b(X31) )
        | ( 10 != a(X31) )
        | ( 4 != a(X30) )
        | ( X31 = X32 )
        | ( X30 = X32 )
        | ( X30 = X31 ) )
    & ! [X27: $int,X28: $int,X29: $int] :
        ( ~ $less(X28,X27)
        | ~ $less(b(X28),3)
        | ( 5 != b(X27) )
        | ( 7 != a(X29) )
        | ( 10 != a(X28) )
        | ( 7 != a(X27) )
        | ( X28 = X29 )
        | ( X27 = X29 )
        | ( X27 = X28 ) )
    & ! [X24: $int,X25: $int,X26: $int] :
        ( ~ $less(X25,X24)
        | ~ $less(b(X25),3)
        | ( 8 != a(X26) )
        | ( 10 != a(X25) )
        | ( 6 != a(X24) )
        | ( X25 = X26 )
        | ( X24 = X26 )
        | ( X24 = X25 ) )
    & ! [X20: $int,X21: $int,X22: $int,X23: $int] :
        ( ~ $less(X21,X20)
        | ( 2 != b(X23) )
        | ( 5 != b(X22) )
        | ~ $less(b(X21),3)
        | ( 10 != a(X21) )
        | ( 5 != a(X20) )
        | ( X22 = X23 )
        | ( X21 = X23 )
        | ( X21 = X22 )
        | ( X20 = X23 )
        | ( X20 = X22 )
        | ( X20 = X21 ) )
    & ! [X17: $int,X18: $int,X19: $int] :
        ( ~ $less(X18,X17)
        | ( 5 != b(X19) )
        | ( 2 != b(X18) )
        | ( 10 != a(X18) )
        | ( 5 != a(X17) )
        | ( X18 = X19 )
        | ( X17 = X19 )
        | ( X17 = X18 ) )
    & ! [X14: $int,X15: $int,X16: $int] :
        ( ~ $less(X15,X14)
        | ~ $less(b(X15),3)
        | ( 8 != a(X16) )
        | ( 10 != a(X15) )
        | ( 7 != a(X14) )
        | ( X15 = X16 )
        | ( X14 = X16 )
        | ( X14 = X15 ) )
    & ! [X11: $int,X12: $int,X13: $int] :
        ( ~ $less(X12,X11)
        | ( 5 != b(X13) )
        | ~ $less(b(X12),3)
        | ( 10 != a(X12) )
        | ( 6 != a(X11) )
        | ( X12 = X13 )
        | ( X11 = X13 )
        | ( X11 = X12 ) )
    & ! [X8: $int,X9: $int,X10: $int] :
        ( ~ $less(X9,X8)
        | ( 5 != b(X10) )
        | ~ $less(b(X9),3)
        | ( 10 != a(X9) )
        | ( 7 != a(X8) )
        | ( X9 = X10 )
        | ( X8 = X10 )
        | ( X8 = X9 ) )
    & ! [X6: $int,X7: $int] :
        ( ~ $less(X7,X6)
        | ~ $less(b(X7),3)
        | ( 10 != a(X7) )
        | ( 8 != a(X6) )
        | ( X6 = X7 ) )
    & ! [X4: $int,X5: $int] :
        ( ~ $less(X5,X4)
        | ~ $less(b(X5),3)
        | ( 10 != a(X5) )
        | ( 9 != a(X4) )
        | ( X4 = X5 ) )
    & ! [X2: $int,X3: $int] :
        ( ( 10 != a(X3) )
        | ( 10 != a(X2) )
        | ( X2 = X3 ) )
    & ( z4 != z5 )
    & ( z3 != z5 )
    & ( z3 != z4 )
    & ( z2 != z5 )
    & ( z2 != z4 )
    & ( z2 != z3 )
    & ( z1 != z5 )
    & ( z1 != z4 )
    & ( z1 != z3 )
    & ( z1 != z2 )
    & ! [X1: $int] :
        ( ~ $less(5,b(X1))
        & ~ $less(b(X1),1) )
    & ! [X0: $int] :
        ( ~ $less(12,a(X0))
        & ~ $less(a(X0),1) )
    & $less(z2,z1)
    & ( b(z4) = 2 )
    & $less(b(z2),3)
    & ( b(z1) = 5 )
    & ( a(z4) = 10 )
    & ( a(z3) = 5 )
    & ( a(z2) = 10 )
    & ( a(z1) = 7 ) ),
    inference(ennf_transformation,[],[f17]) ).

tff(f19,plain,
    ( ! [X260: $int,X261: $int,X262: $int,X263: $int] :
        ( ~ $less(X261,X260)
        | ( 2 != b(X263) )
        | ~ $less(b(X261),3)
        | ( 5 != b(X260) )
        | ( 4 != a(X262) )
        | ( 10 != a(X261) )
        | ( 7 != a(X260) )
        | ( X262 = X263 )
        | ( X261 = X263 )
        | ( X261 = X262 )
        | ( X260 = X263 )
        | ( X260 = X262 )
        | ( X260 = X261 ) )
    & ! [X256: $int,X257: $int,X258: $int,X259: $int] :
        ( ~ $less(X257,X256)
        | ~ $less(b(X257),3)
        | ( 5 != b(X256) )
        | ( 2 != a(X259) )
        | ( 5 != a(X258) )
        | ( 10 != a(X257) )
        | ( 7 != a(X256) )
        | ( X258 = X259 )
        | ( X257 = X259 )
        | ( X257 = X258 )
        | ( X256 = X259 )
        | ( X256 = X258 )
        | ( X256 = X257 ) )
    & ! [X252: $int,X253: $int,X254: $int,X255: $int] :
        ( ~ $less(X253,X252)
        | ~ $less(b(X253),3)
        | ( 5 != b(X252) )
        | ( 2 != a(X255) )
        | ( 7 != a(X254) )
        | ( 10 != a(X253) )
        | ( 5 != a(X252) )
        | ( X254 = X255 )
        | ( X253 = X255 )
        | ( X253 = X254 )
        | ( X252 = X255 )
        | ( X252 = X254 )
        | ( X252 = X253 ) )
    & ! [X248: $int,X249: $int,X250: $int,X251: $int] :
        ( ~ $less(X249,X248)
        | ( 5 != b(X250) )
        | ~ $less(b(X249),3)
        | ( 2 != a(X251) )
        | ( 10 != a(X249) )
        | ( 4 != a(X248) )
        | ( X250 = X251 )
        | ( X249 = X251 )
        | ( X249 = X250 )
        | ( X248 = X251 )
        | ( X248 = X250 )
        | ( X248 = X249 ) )
    & ! [X244: $int,X245: $int,X246: $int,X247: $int] :
        ( ~ $less(X245,X244)
        | ( 5 != b(X246) )
        | ~ $less(b(X245),3)
        | ( 1 != a(X247) )
        | ( 10 != a(X245) )
        | ( 5 != a(X244) )
        | ( X246 = X247 )
        | ( X245 = X247 )
        | ( X245 = X246 )
        | ( X244 = X247 )
        | ( X244 = X246 )
        | ( X244 = X245 ) )
    & ! [X240: $int,X241: $int,X242: $int,X243: $int] :
        ( ~ $less(X241,X240)
        | ( 2 != b(X243) )
        | ~ $less(b(X241),3)
        | ( 8 != a(X242) )
        | ( 10 != a(X241) )
        | ( 4 != a(X240) )
        | ( X242 = X243 )
        | ( X241 = X243 )
        | ( X241 = X242 )
        | ( X240 = X243 )
        | ( X240 = X242 )
        | ( X240 = X241 ) )
    & ! [X236: $int,X237: $int,X238: $int,X239: $int] :
        ( ~ $less(X237,X236)
        | ~ $less(b(X237),3)
        | ( 2 != a(X239) )
        | ( 8 != a(X238) )
        | ( 10 != a(X237) )
        | ( 5 != a(X236) )
        | ( X238 = X239 )
        | ( X237 = X239 )
        | ( X237 = X238 )
        | ( X236 = X239 )
        | ( X236 = X238 )
        | ( X236 = X237 ) )
    & ! [X232: $int,X233: $int,X234: $int,X235: $int] :
        ( ~ $less(X233,X232)
        | ( 2 != b(X235) )
        | ( 5 != b(X234) )
        | ~ $less(b(X233),3)
        | ( 10 != a(X233) )
        | ( 4 != a(X232) )
        | ( X234 = X235 )
        | ( X233 = X235 )
        | ( X233 = X234 )
        | ( X232 = X235 )
        | ( X232 = X234 )
        | ( X232 = X233 ) )
    & ! [X228: $int,X229: $int,X230: $int,X231: $int] :
        ( ~ $less(X229,X228)
        | ( 5 != b(X230) )
        | ~ $less(b(X229),3)
        | ( 2 != a(X231) )
        | ( 10 != a(X229) )
        | ( 5 != a(X228) )
        | ( X230 = X231 )
        | ( X229 = X231 )
        | ( X229 = X230 )
        | ( X228 = X231 )
        | ( X228 = X230 )
        | ( X228 = X229 ) )
    & ! [X225: $int,X226: $int,X227: $int] :
        ( ~ $less(X226,X225)
        | ( 2 != b(X226) )
        | ( 5 != b(X225) )
        | ( 4 != a(X227) )
        | ( 10 != a(X226) )
        | ( 12 != a(X225) )
        | ( X226 = X227 )
        | ( X225 = X227 )
        | ( X225 = X226 ) )
    & ! [X222: $int,X223: $int,X224: $int] :
        ( ~ $less(X223,X222)
        | ( 2 != b(X223) )
        | ( 5 != b(X222) )
        | ( 5 != a(X224) )
        | ( 10 != a(X223) )
        | ( 12 != a(X222) )
        | ( X223 = X224 )
        | ( X222 = X224 )
        | ( X222 = X223 ) )
    & ! [X219: $int,X220: $int,X221: $int] :
        ( ~ $less(X220,X219)
        | ( 2 != b(X220) )
        | ( 5 != b(X219) )
        | ( 4 != a(X221) )
        | ( 10 != a(X220) )
        | ( 1 != a(X219) )
        | ( X220 = X221 )
        | ( X219 = X221 )
        | ( X219 = X220 ) )
    & ! [X216: $int,X217: $int,X218: $int] :
        ( ~ $less(X217,X216)
        | ( 2 != b(X217) )
        | ( 5 != b(X216) )
        | ( 4 != a(X218) )
        | ( 10 != a(X217) )
        | ( 2 != a(X216) )
        | ( X217 = X218 )
        | ( X216 = X218 )
        | ( X216 = X217 ) )
    & ! [X213: $int,X214: $int,X215: $int] :
        ( ~ $less(X214,X213)
        | ( 2 != b(X214) )
        | ( 5 != b(X213) )
        | ( 6 != a(X215) )
        | ( 10 != a(X214) )
        | ( 12 != a(X213) )
        | ( X214 = X215 )
        | ( X213 = X215 )
        | ( X213 = X214 ) )
    & ! [X210: $int,X211: $int,X212: $int] :
        ( ~ $less(X211,X210)
        | ( 2 != b(X211) )
        | ( 5 != b(X210) )
        | ( 5 != a(X212) )
        | ( 10 != a(X211) )
        | ( 1 != a(X210) )
        | ( X211 = X212 )
        | ( X210 = X212 )
        | ( X210 = X211 ) )
    & ! [X206: $int,X207: $int,X208: $int,X209: $int] :
        ( ~ $less(X207,X206)
        | ( 5 != b(X209) )
        | ( 2 != b(X208) )
        | ~ $less(b(X207),3)
        | ( 7 != a(X208) )
        | ( 10 != a(X207) )
        | ( 12 != a(X206) )
        | ( X208 = X209 )
        | ( X207 = X209 )
        | ( X207 = X208 )
        | ( X206 = X209 )
        | ( X206 = X208 )
        | ( X206 = X207 ) )
    & ! [X203: $int,X204: $int,X205: $int] :
        ( ~ $less(X204,X203)
        | ( 2 != b(X205) )
        | ~ $less(b(X204),3)
        | ( 5 != b(X203) )
        | ( 7 != a(X205) )
        | ( 10 != a(X204) )
        | ( 12 != a(X203) )
        | ( X204 = X205 )
        | ( X203 = X205 )
        | ( X203 = X204 ) )
    & ! [X200: $int,X201: $int,X202: $int] :
        ( ~ $less(X201,X200)
        | ( 2 != b(X201) )
        | ( 5 != b(X200) )
        | ( 5 != a(X202) )
        | ( 10 != a(X201) )
        | ( 2 != a(X200) )
        | ( X201 = X202 )
        | ( X200 = X202 )
        | ( X200 = X201 ) )
    & ! [X196: $int,X197: $int,X198: $int,X199: $int] :
        ( ~ $less(X197,X196)
        | ( 5 != b(X199) )
        | ~ $less(b(X198),4)
        | ( 2 != b(X197) )
        | ( 7 != a(X198) )
        | ( 10 != a(X197) )
        | ( 12 != a(X196) )
        | ( X198 = X199 )
        | ( X197 = X199 )
        | ( X197 = X198 )
        | ( X196 = X199 )
        | ( X196 = X198 )
        | ( X196 = X197 ) )
    & ! [X193: $int,X194: $int,X195: $int] :
        ( ~ $less(X194,X193)
        | ~ $less(b(X195),4)
        | ( 2 != b(X194) )
        | ( 5 != b(X193) )
        | ( 7 != a(X195) )
        | ( 10 != a(X194) )
        | ( 12 != a(X193) )
        | ( X194 = X195 )
        | ( X193 = X195 )
        | ( X193 = X194 ) )
    & ! [X190: $int,X191: $int,X192: $int] :
        ( ~ $less(X191,X190)
        | ( 2 != b(X191) )
        | ( 5 != b(X190) )
        | ( 6 != a(X192) )
        | ( 10 != a(X191) )
        | ( 1 != a(X190) )
        | ( X191 = X192 )
        | ( X190 = X192 )
        | ( X190 = X191 ) )
    & ! [X187: $int,X188: $int,X189: $int] :
        ( ~ $less(X188,X187)
        | ( 2 != b(X189) )
        | ~ $less(b(X188),3)
        | ( 8 != a(X189) )
        | ( 10 != a(X188) )
        | ( 12 != a(X187) )
        | ( X188 = X189 )
        | ( X187 = X189 )
        | ( X187 = X188 ) )
    & ! [X183: $int,X184: $int,X185: $int,X186: $int] :
        ( ~ $less(X184,X183)
        | ( 5 != b(X186) )
        | ( 2 != b(X185) )
        | ~ $less(b(X184),3)
        | ( 7 != a(X185) )
        | ( 10 != a(X184) )
        | ( 1 != a(X183) )
        | ( X185 = X186 )
        | ( X184 = X186 )
        | ( X184 = X185 )
        | ( X183 = X186 )
        | ( X183 = X185 )
        | ( X183 = X184 ) )
    & ! [X180: $int,X181: $int,X182: $int] :
        ( ~ $less(X181,X180)
        | ( 2 != b(X182) )
        | ~ $less(b(X181),3)
        | ( 5 != b(X180) )
        | ( 7 != a(X182) )
        | ( 10 != a(X181) )
        | ( 1 != a(X180) )
        | ( X181 = X182 )
        | ( X180 = X182 )
        | ( X180 = X181 ) )
    & ! [X177: $int,X178: $int,X179: $int] :
        ( ~ $less(X178,X177)
        | ( 2 != b(X178) )
        | ( 5 != b(X177) )
        | ( 4 != a(X179) )
        | ( 10 != a(X178) )
        | ( 4 != a(X177) )
        | ( X178 = X179 )
        | ( X177 = X179 )
        | ( X177 = X178 ) )
    & ! [X174: $int,X175: $int,X176: $int] :
        ( ~ $less(X175,X174)
        | ( 2 != b(X175) )
        | ( 5 != b(X174) )
        | ( 6 != a(X176) )
        | ( 10 != a(X175) )
        | ( 2 != a(X174) )
        | ( X175 = X176 )
        | ( X174 = X176 )
        | ( X174 = X175 ) )
    & ! [X171: $int,X172: $int,X173: $int] :
        ( ~ $less(X172,X171)
        | ~ $less(b(X173),4)
        | ( 2 != b(X172) )
        | ( 8 != a(X173) )
        | ( 10 != a(X172) )
        | ( 12 != a(X171) )
        | ( X172 = X173 )
        | ( X171 = X173 )
        | ( X171 = X172 ) )
    & ! [X167: $int,X168: $int,X169: $int,X170: $int] :
        ( ~ $less(X168,X167)
        | ( 5 != b(X170) )
        | ~ $less(b(X169),4)
        | ( 2 != b(X168) )
        | ( 7 != a(X169) )
        | ( 10 != a(X168) )
        | ( 1 != a(X167) )
        | ( X169 = X170 )
        | ( X168 = X170 )
        | ( X168 = X169 )
        | ( X167 = X170 )
        | ( X167 = X169 )
        | ( X167 = X168 ) )
    & ! [X164: $int,X165: $int,X166: $int] :
        ( ~ $less(X165,X164)
        | ~ $less(b(X166),4)
        | ( 2 != b(X165) )
        | ( 5 != b(X164) )
        | ( 7 != a(X166) )
        | ( 10 != a(X165) )
        | ( 1 != a(X164) )
        | ( X165 = X166 )
        | ( X164 = X166 )
        | ( X164 = X165 ) )
    & ! [X160: $int,X161: $int,X162: $int,X163: $int] :
        ( ~ $less(X161,X160)
        | ( 5 != b(X163) )
        | ( 2 != b(X162) )
        | ~ $less(b(X161),3)
        | ( 7 != a(X162) )
        | ( 10 != a(X161) )
        | ( 2 != a(X160) )
        | ( X162 = X163 )
        | ( X161 = X163 )
        | ( X161 = X162 )
        | ( X160 = X163 )
        | ( X160 = X162 )
        | ( X160 = X161 ) )
    & ! [X157: $int,X158: $int,X159: $int] :
        ( ~ $less(X158,X157)
        | ( 2 != b(X159) )
        | ~ $less(b(X158),3)
        | ( 5 != b(X157) )
        | ( 7 != a(X159) )
        | ( 10 != a(X158) )
        | ( 2 != a(X157) )
        | ( X158 = X159 )
        | ( X157 = X159 )
        | ( X157 = X158 ) )
    & ! [X154: $int,X155: $int,X156: $int] :
        ( ~ $less(X155,X154)
        | ( 2 != b(X156) )
        | ~ $less(b(X155),3)
        | ( 8 != a(X156) )
        | ( 10 != a(X155) )
        | ( 1 != a(X154) )
        | ( X155 = X156 )
        | ( X154 = X156 )
        | ( X154 = X155 ) )
    & ! [X151: $int,X152: $int,X153: $int] :
        ( ~ $less(X152,X151)
        | ( 2 != b(X152) )
        | ( 5 != b(X151) )
        | ( 4 != a(X153) )
        | ( 10 != a(X152) )
        | ( 5 != a(X151) )
        | ( X152 = X153 )
        | ( X151 = X153 )
        | ( X151 = X152 ) )
    & ! [X148: $int,X149: $int,X150: $int] :
        ( ~ $less(X149,X148)
        | ( 2 != b(X149) )
        | ( 5 != b(X148) )
        | ( 5 != a(X150) )
        | ( 10 != a(X149) )
        | ( 4 != a(X148) )
        | ( X149 = X150 )
        | ( X148 = X150 )
        | ( X148 = X149 ) )
    & ! [X144: $int,X145: $int,X146: $int,X147: $int] :
        ( ~ $less(X145,X144)
        | ( 5 != b(X147) )
        | ~ $less(b(X146),4)
        | ( 2 != b(X145) )
        | ( 7 != a(X146) )
        | ( 10 != a(X145) )
        | ( 2 != a(X144) )
        | ( X146 = X147 )
        | ( X145 = X147 )
        | ( X145 = X146 )
        | ( X144 = X147 )
        | ( X144 = X146 )
        | ( X144 = X145 ) )
    & ! [X141: $int,X142: $int,X143: $int] :
        ( ~ $less(X142,X141)
        | ~ $less(b(X143),4)
        | ( 2 != b(X142) )
        | ( 5 != b(X141) )
        | ( 7 != a(X143) )
        | ( 10 != a(X142) )
        | ( 2 != a(X141) )
        | ( X142 = X143 )
        | ( X141 = X143 )
        | ( X141 = X142 ) )
    & ! [X138: $int,X139: $int,X140: $int] :
        ( ~ $less(X139,X138)
        | ~ $less(b(X140),4)
        | ( 2 != b(X139) )
        | ( 8 != a(X140) )
        | ( 10 != a(X139) )
        | ( 1 != a(X138) )
        | ( X139 = X140 )
        | ( X138 = X140 )
        | ( X138 = X139 ) )
    & ! [X135: $int,X136: $int,X137: $int] :
        ( ~ $less(X136,X135)
        | ( 2 != b(X136) )
        | ( 5 != b(X135) )
        | ( 4 != a(X137) )
        | ( 10 != a(X136) )
        | ( 6 != a(X135) )
        | ( X136 = X137 )
        | ( X135 = X137 )
        | ( X135 = X136 ) )
    & ! [X131: $int,X132: $int,X133: $int,X134: $int] :
        ( ~ $less(X132,X131)
        | ( 2 != b(X134) )
        | ( 2 != b(X133) )
        | ~ $less(b(X132),3)
        | ( 5 != b(X131) )
        | ( 5 != a(X133) )
        | ( 10 != a(X132) )
        | ( 5 != a(X131) )
        | ( X133 = X134 )
        | ( X132 = X134 )
        | ( X132 = X133 )
        | ( X131 = X134 )
        | ( X131 = X133 )
        | ( X131 = X132 ) )
    & ! [X127: $int,X128: $int,X129: $int,X130: $int] :
        ( ~ $less(X128,X127)
        | ( 5 != b(X130) )
        | ( 2 != b(X129) )
        | ~ $less(b(X128),3)
        | ~ $less(b(X127),4)
        | ( 7 != a(X129) )
        | ( 10 != a(X128) )
        | ( 3 != a(X127) )
        | ( X129 = X130 )
        | ( X128 = X130 )
        | ( X128 = X129 )
        | ( X127 = X130 )
        | ( X127 = X129 )
        | ( X127 = X128 ) )
    & ! [X124: $int,X125: $int,X126: $int] :
        ( ~ $less(X125,X124)
        | ( 2 != b(X126) )
        | ~ $less(b(X125),3)
        | ( 8 != a(X126) )
        | ( 10 != a(X125) )
        | ( 2 != a(X124) )
        | ( X125 = X126 )
        | ( X124 = X126 )
        | ( X124 = X125 ) )
    & ! [X121: $int,X122: $int,X123: $int] :
        ( ~ $less(X122,X121)
        | ( 2 != b(X122) )
        | ( 5 != b(X121) )
        | ( 5 != a(X123) )
        | ( 10 != a(X122) )
        | ( 5 != a(X121) )
        | ( X122 = X123 )
        | ( X121 = X123 )
        | ( X121 = X122 ) )
    & ! [X118: $int,X119: $int,X120: $int] :
        ( ~ $less(X119,X118)
        | ( 2 != b(X119) )
        | ( 5 != b(X118) )
        | ( 6 != a(X120) )
        | ( 10 != a(X119) )
        | ( 4 != a(X118) )
        | ( X119 = X120 )
        | ( X118 = X120 )
        | ( X118 = X119 ) )
    & ! [X114: $int,X115: $int,X116: $int,X117: $int] :
        ( ~ $less(X115,X114)
        | ( 5 != b(X117) )
        | ~ $less(b(X116),4)
        | ( 2 != b(X115) )
        | ~ $less(b(X114),4)
        | ( 7 != a(X116) )
        | ( 10 != a(X115) )
        | ( 3 != a(X114) )
        | ( X116 = X117 )
        | ( X115 = X117 )
        | ( X115 = X116 )
        | ( X114 = X117 )
        | ( X114 = X116 )
        | ( X114 = X115 ) )
    & ! [X111: $int,X112: $int,X113: $int] :
        ( ~ $less(X112,X111)
        | ~ $less(b(X113),4)
        | ( 2 != b(X112) )
        | ( 8 != a(X113) )
        | ( 10 != a(X112) )
        | ( 2 != a(X111) )
        | ( X112 = X113 )
        | ( X111 = X113 )
        | ( X111 = X112 ) )
    & ! [X108: $int,X109: $int,X110: $int] :
        ( ~ $less(X109,X108)
        | ( 2 != b(X109) )
        | ( 5 != b(X108) )
        | ( 4 != a(X110) )
        | ( 10 != a(X109) )
        | ( 7 != a(X108) )
        | ( X109 = X110 )
        | ( X108 = X110 )
        | ( X108 = X109 ) )
    & ! [X104: $int,X105: $int,X106: $int,X107: $int] :
        ( ~ $less(X105,X104)
        | ( 2 != b(X107) )
        | ~ $less(b(X105),3)
        | ( 5 != b(X104) )
        | ( 5 != a(X106) )
        | ( 10 != a(X105) )
        | ( 6 != a(X104) )
        | ( X106 = X107 )
        | ( X105 = X107 )
        | ( X105 = X106 )
        | ( X104 = X107 )
        | ( X104 = X106 )
        | ( X104 = X105 ) )
    & ! [X101: $int,X102: $int,X103: $int] :
        ( ~ $less(X102,X101)
        | ( 2 != b(X102) )
        | ( 5 != b(X101) )
        | ( 5 != a(X103) )
        | ( 10 != a(X102) )
        | ( 6 != a(X101) )
        | ( X102 = X103 )
        | ( X101 = X103 )
        | ( X101 = X102 ) )
    & ! [X97: $int,X98: $int,X99: $int,X100: $int] :
        ( ~ $less(X98,X97)
        | ( 2 != b(X100) )
        | ~ $less(b(X98),3)
        | ( 5 != b(X97) )
        | ( 6 != a(X99) )
        | ( 10 != a(X98) )
        | ( 5 != a(X97) )
        | ( X99 = X100 )
        | ( X98 = X100 )
        | ( X98 = X99 )
        | ( X97 = X100 )
        | ( X97 = X99 )
        | ( X97 = X98 ) )
    & ! [X94: $int,X95: $int,X96: $int] :
        ( ~ $less(X95,X94)
        | ( 2 != b(X96) )
        | ~ $less(b(X95),3)
        | ( 5 != b(X94) )
        | ( 6 != a(X96) )
        | ( 10 != a(X95) )
        | ( 5 != a(X94) )
        | ( X95 = X96 )
        | ( X94 = X96 )
        | ( X94 = X95 ) )
    & ! [X90: $int,X91: $int,X92: $int,X93: $int] :
        ( ~ $less(X91,X90)
        | ( 5 != b(X93) )
        | ( 2 != b(X92) )
        | ~ $less(b(X91),3)
        | ( 7 != a(X92) )
        | ( 10 != a(X91) )
        | ( 4 != a(X90) )
        | ( X92 = X93 )
        | ( X91 = X93 )
        | ( X91 = X92 )
        | ( X90 = X93 )
        | ( X90 = X92 )
        | ( X90 = X91 ) )
    & ! [X87: $int,X88: $int,X89: $int] :
        ( ~ $less(X88,X87)
        | ( 2 != b(X89) )
        | ~ $less(b(X88),3)
        | ( 5 != b(X87) )
        | ( 7 != a(X89) )
        | ( 10 != a(X88) )
        | ( 4 != a(X87) )
        | ( X88 = X89 )
        | ( X87 = X89 )
        | ( X87 = X88 ) )
    & ! [X84: $int,X85: $int,X86: $int] :
        ( ~ $less(X85,X84)
        | ( 2 != b(X86) )
        | ~ $less(b(X85),3)
        | ~ $less(b(X84),4)
        | ( 8 != a(X86) )
        | ( 10 != a(X85) )
        | ( 3 != a(X84) )
        | ( X85 = X86 )
        | ( X84 = X86 )
        | ( X84 = X85 ) )
    & ! [X81: $int,X82: $int,X83: $int] :
        ( ~ $less(X82,X81)
        | ( 2 != b(X82) )
        | ( 5 != b(X81) )
        | ( 6 != a(X83) )
        | ( 10 != a(X82) )
        | ( 5 != a(X81) )
        | ( X82 = X83 )
        | ( X81 = X83 )
        | ( X81 = X82 ) )
    & ! [X78: $int,X79: $int,X80: $int] :
        ( ~ $less(X79,X78)
        | ( 2 != b(X79) )
        | ( 5 != b(X78) )
        | ( 7 != a(X80) )
        | ( 10 != a(X79) )
        | ( 4 != a(X78) )
        | ( X79 = X80 )
        | ( X78 = X80 )
        | ( X78 = X79 ) )
    & ! [X75: $int,X76: $int,X77: $int] :
        ( ~ $less(X76,X75)
        | ~ $less(b(X77),4)
        | ( 2 != b(X76) )
        | ~ $less(b(X75),4)
        | ( 8 != a(X77) )
        | ( 10 != a(X76) )
        | ( 3 != a(X75) )
        | ( X76 = X77 )
        | ( X75 = X77 )
        | ( X75 = X76 ) )
    & ! [X71: $int,X72: $int,X73: $int,X74: $int] :
        ( ~ $less(X72,X71)
        | ( 2 != b(X74) )
        | ~ $less(b(X72),3)
        | ( 5 != b(X71) )
        | ( 5 != a(X73) )
        | ( 10 != a(X72) )
        | ( 7 != a(X71) )
        | ( X73 = X74 )
        | ( X72 = X74 )
        | ( X72 = X73 )
        | ( X71 = X74 )
        | ( X71 = X73 )
        | ( X71 = X72 ) )
    & ! [X68: $int,X69: $int,X70: $int] :
        ( ~ $less(X69,X68)
        | ( 2 != b(X69) )
        | ( 5 != b(X68) )
        | ( 5 != a(X70) )
        | ( 10 != a(X69) )
        | ( 7 != a(X68) )
        | ( X69 = X70 )
        | ( X68 = X70 )
        | ( X68 = X69 ) )
    & ! [X65: $int,X66: $int,X67: $int] :
        ( ~ $less(X66,X65)
        | ~ $less(b(X66),3)
        | ( 5 != b(X65) )
        | ( 6 != a(X67) )
        | ( 10 != a(X66) )
        | ( 6 != a(X65) )
        | ( X66 = X67 )
        | ( X65 = X67 )
        | ( X65 = X66 ) )
    & ! [X61: $int,X62: $int,X63: $int,X64: $int] :
        ( ~ $less(X62,X61)
        | ( 2 != b(X64) )
        | ~ $less(b(X62),3)
        | ( 5 != b(X61) )
        | ( 7 != a(X63) )
        | ( 10 != a(X62) )
        | ( 5 != a(X61) )
        | ( X63 = X64 )
        | ( X62 = X64 )
        | ( X62 = X63 )
        | ( X61 = X64 )
        | ( X61 = X63 )
        | ( X61 = X62 ) )
    & ! [X58: $int,X59: $int,X60: $int] :
        ( ~ $less(X59,X58)
        | ( 2 != b(X60) )
        | ~ $less(b(X59),3)
        | ( 5 != b(X58) )
        | ( 7 != a(X60) )
        | ( 10 != a(X59) )
        | ( 5 != a(X58) )
        | ( X59 = X60 )
        | ( X58 = X60 )
        | ( X58 = X59 ) )
    & ! [X55: $int,X56: $int,X57: $int] :
        ( ~ $less(X56,X55)
        | ( 2 != b(X57) )
        | ~ $less(b(X56),3)
        | ( 8 != a(X57) )
        | ( 10 != a(X56) )
        | ( 4 != a(X55) )
        | ( X56 = X57 )
        | ( X55 = X57 )
        | ( X55 = X56 ) )
    & ! [X52: $int,X53: $int,X54: $int] :
        ( ~ $less(X53,X52)
        | ( 2 != b(X53) )
        | ( 5 != b(X52) )
        | ( 7 != a(X54) )
        | ( 10 != a(X53) )
        | ( 5 != a(X52) )
        | ( X53 = X54 )
        | ( X52 = X54 )
        | ( X52 = X53 ) )
    & ! [X49: $int,X50: $int,X51: $int] :
        ( ~ $less(X50,X49)
        | ( 2 != b(X50) )
        | ( 8 != a(X51) )
        | ( 10 != a(X50) )
        | ( 4 != a(X49) )
        | ( X50 = X51 )
        | ( X49 = X51 )
        | ( X49 = X50 ) )
    & ! [X46: $int,X47: $int,X48: $int] :
        ( ~ $less(X47,X46)
        | ~ $less(b(X47),3)
        | ( 5 != b(X46) )
        | ( 6 != a(X48) )
        | ( 10 != a(X47) )
        | ( 7 != a(X46) )
        | ( X47 = X48 )
        | ( X46 = X48 )
        | ( X46 = X47 ) )
    & ! [X43: $int,X44: $int,X45: $int] :
        ( ~ $less(X44,X43)
        | ~ $less(b(X44),3)
        | ( 5 != b(X43) )
        | ( 7 != a(X45) )
        | ( 10 != a(X44) )
        | ( 6 != a(X43) )
        | ( X44 = X45 )
        | ( X43 = X45 )
        | ( X43 = X44 ) )
    & ! [X39: $int,X40: $int,X41: $int,X42: $int] :
        ( ~ $less(X40,X39)
        | ( 2 != b(X42) )
        | ~ $less(b(X40),3)
        | ( 8 != a(X41) )
        | ( 10 != a(X40) )
        | ( 5 != a(X39) )
        | ( X41 = X42 )
        | ( X40 = X42 )
        | ( X40 = X41 )
        | ( X39 = X42 )
        | ( X39 = X41 )
        | ( X39 = X40 ) )
    & ! [X36: $int,X37: $int,X38: $int] :
        ( ~ $less(X37,X36)
        | ( 2 != b(X38) )
        | ~ $less(b(X37),3)
        | ( 8 != a(X38) )
        | ( 10 != a(X37) )
        | ( 5 != a(X36) )
        | ( X37 = X38 )
        | ( X36 = X38 )
        | ( X36 = X37 ) )
    & ! [X33: $int,X34: $int,X35: $int] :
        ( ~ $less(X34,X33)
        | ( 2 != b(X34) )
        | ( 8 != a(X35) )
        | ( 10 != a(X34) )
        | ( 5 != a(X33) )
        | ( X34 = X35 )
        | ( X33 = X35 )
        | ( X33 = X34 ) )
    & ! [X30: $int,X31: $int,X32: $int] :
        ( ~ $less(X31,X30)
        | ( 5 != b(X32) )
        | ( 2 != b(X31) )
        | ( 10 != a(X31) )
        | ( 4 != a(X30) )
        | ( X31 = X32 )
        | ( X30 = X32 )
        | ( X30 = X31 ) )
    & ! [X27: $int,X28: $int,X29: $int] :
        ( ~ $less(X28,X27)
        | ~ $less(b(X28),3)
        | ( 5 != b(X27) )
        | ( 7 != a(X29) )
        | ( 10 != a(X28) )
        | ( 7 != a(X27) )
        | ( X28 = X29 )
        | ( X27 = X29 )
        | ( X27 = X28 ) )
    & ! [X24: $int,X25: $int,X26: $int] :
        ( ~ $less(X25,X24)
        | ~ $less(b(X25),3)
        | ( 8 != a(X26) )
        | ( 10 != a(X25) )
        | ( 6 != a(X24) )
        | ( X25 = X26 )
        | ( X24 = X26 )
        | ( X24 = X25 ) )
    & ! [X20: $int,X21: $int,X22: $int,X23: $int] :
        ( ~ $less(X21,X20)
        | ( 2 != b(X23) )
        | ( 5 != b(X22) )
        | ~ $less(b(X21),3)
        | ( 10 != a(X21) )
        | ( 5 != a(X20) )
        | ( X22 = X23 )
        | ( X21 = X23 )
        | ( X21 = X22 )
        | ( X20 = X23 )
        | ( X20 = X22 )
        | ( X20 = X21 ) )
    & ! [X17: $int,X18: $int,X19: $int] :
        ( ~ $less(X18,X17)
        | ( 5 != b(X19) )
        | ( 2 != b(X18) )
        | ( 10 != a(X18) )
        | ( 5 != a(X17) )
        | ( X18 = X19 )
        | ( X17 = X19 )
        | ( X17 = X18 ) )
    & ! [X14: $int,X15: $int,X16: $int] :
        ( ~ $less(X15,X14)
        | ~ $less(b(X15),3)
        | ( 8 != a(X16) )
        | ( 10 != a(X15) )
        | ( 7 != a(X14) )
        | ( X15 = X16 )
        | ( X14 = X16 )
        | ( X14 = X15 ) )
    & ! [X11: $int,X12: $int,X13: $int] :
        ( ~ $less(X12,X11)
        | ( 5 != b(X13) )
        | ~ $less(b(X12),3)
        | ( 10 != a(X12) )
        | ( 6 != a(X11) )
        | ( X12 = X13 )
        | ( X11 = X13 )
        | ( X11 = X12 ) )
    & ! [X8: $int,X9: $int,X10: $int] :
        ( ~ $less(X9,X8)
        | ( 5 != b(X10) )
        | ~ $less(b(X9),3)
        | ( 10 != a(X9) )
        | ( 7 != a(X8) )
        | ( X9 = X10 )
        | ( X8 = X10 )
        | ( X8 = X9 ) )
    & ! [X6: $int,X7: $int] :
        ( ~ $less(X7,X6)
        | ~ $less(b(X7),3)
        | ( 10 != a(X7) )
        | ( 8 != a(X6) )
        | ( X6 = X7 ) )
    & ! [X4: $int,X5: $int] :
        ( ~ $less(X5,X4)
        | ~ $less(b(X5),3)
        | ( 10 != a(X5) )
        | ( 9 != a(X4) )
        | ( X4 = X5 ) )
    & ! [X2: $int,X3: $int] :
        ( ( 10 != a(X3) )
        | ( 10 != a(X2) )
        | ( X2 = X3 ) )
    & ( z4 != z5 )
    & ( z3 != z5 )
    & ( z3 != z4 )
    & ( z2 != z5 )
    & ( z2 != z4 )
    & ( z2 != z3 )
    & ( z1 != z5 )
    & ( z1 != z4 )
    & ( z1 != z3 )
    & ( z1 != z2 )
    & ! [X1: $int] :
        ( ~ $less(5,b(X1))
        & ~ $less(b(X1),1) )
    & ! [X0: $int] :
        ( ~ $less(12,a(X0))
        & ~ $less(a(X0),1) )
    & $less(z2,z1)
    & ( b(z4) = 2 )
    & $less(b(z2),3)
    & ( b(z1) = 5 )
    & ( a(z4) = 10 )
    & ( a(z3) = 5 )
    & ( a(z2) = 10 )
    & ( a(z1) = 7 ) ),
    inference(flattening,[],[f18]) ).

tff(f99,plain,
    ! [X2: $int,X3: $int] :
      ( ( 10 != a(X3) )
      | ( 10 != a(X2) )
      | ( X2 = X3 ) ),
    inference(cnf_transformation,[],[f19]) ).

tff(f104,plain,
    z2 != z4,
    inference(cnf_transformation,[],[f19]) ).

tff(f118,plain,
    10 = a(z4),
    inference(cnf_transformation,[],[f19]) ).

tff(f120,plain,
    10 = a(z2),
    inference(cnf_transformation,[],[f19]) ).

tcf(c_62,negated_conjecture,
    a(z2) = 10,
    inference(cnf_transformation,[],[f120]) ).

tcf(c_64,negated_conjecture,
    a(z4) = 10,
    inference(cnf_transformation,[],[f118]) ).

tcf(c_78,negated_conjecture,
    z2 != z4,
    inference(cnf_transformation,[],[f104]) ).

tcf(c_83,negated_conjecture,
    ! [X0_int: $int,X1_int: $int] :
      ( ( X0_int = X1_int )
      | ( a(X1_int) != 10 )
      | ( a(X0_int) != 10 ) ),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_356,plain,
    ( ( z2 = z4 )
    | ( a(z4) != 10 )
    | ( a(z2) != 10 ) ),
    inference(instantiation,[status(thm)],[c_83]) ).

tcf(c_357,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_356,c_62,c_64,c_78]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW003_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37  % Computer : n014.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Thu Sep 24 21:30:18 UTC 2026
% 0.09/0.38  % CPUTime  : 
% 0.09/0.38  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41  Running TFA theorem proving
% 0.09/0.41  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s tfa_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.42  
% 0.09/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42  
% 0.09/0.42  % Detected problem language: tptp
% 0.09/0.43  % Proving...
% 2.63/1.18  % SZS status Started for theBenchmark.p
% 2.63/1.18  ERROR - "ProverProcess:heur/schedule_none:304.9999883174896" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 2.63/1.18  Fatal error: exception Failure("undefined enum value")
% 2.63/1.18  ERROR - cmd was:  ulimit -v 4023281; ./res/iproveropt --schedule none --sub_typing false --suppress_sat_res true --tptp_safe_out true --stats_out none --out_options none --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify   -t 101.67 --show_fool true" --time_out_real 305.00 /export/starexec/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_jwd7llpj/npkmt_wd 2>> /export/starexec/sandbox2/tmp/iprover_out_jwd7llpj/npkmt_wd_error
% 2.63/1.18  ERROR - "ProverProcess:heur/vip_65520:11.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 2.63/1.18  Fatal error: exception Failure("undefined enum value")
% 2.63/1.18  ERROR - cmd was:  ulimit -v 4023281; ./res/iproveropt --comb_mode time_based --comb_res_mult 6 --comb_sup_deep_mult 0 --comb_sup_mult 6 --conj_cone_tolerance 1.8969679945890683 --demod_completeness_check fullold --demod_use_ground false --extra_neg_conj all_neg --instantiation_flag false --out_options none --preprocessed_out false --preprocessing_flag false --prolific_symb_bound 1024 --proof_out true --prop_solver_per_cl 512 --res_to_smt_solver false --resolution_flag true --schedule none --share_sel_clauses true --stats_out none --subs_bck_mult 16 --sup_bw_gjoin_interval 100 --sup_cache_sim none --sup_full_bw "[Subsumption;SubsumptionRes;UnitSubsAndRes]" --sup_full_fixpoint false --sup_full_fw "[]" --sup_fun_splitting false --sup_immed_bw_immed "[Subsumption;SubsumptionRes;UnitSubsAndRes]" --sup_immed_bw_main "[SubsumptionRes;UnitSubsAndRes;FullSubsAndRes;Demod;ACDemod]" --sup_immed_fixpoint false --sup_immed_fw_immed "[Subsumption;SubsumptionRes;FullSubsAndRes;Demod;LightNorm;ACDemod]" --sup_immed_fw_main "[Subsumption;UnitSubsAndRes;FullSubsAndRes;Demod;LightNorm;ACNormalisation;GroundJoinability;Connectedness]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_fixpoint false --sup_main_fixpoint true --sup_ordering lpo --sup_passive_queue_type priority_queues --sup_passive_queues "[[+has_eq;-has_eq];[-num_var;-num_var];[+conj_dist;+ground;-max_atom_input_occur]]" --sup_passive_queues_freq "[1;4;4]" --sup_prop_simpl_given false --sup_prop_simpl_new false --sup_score sim_d_gen --sup_share_max_num_cl 10 --sup_share_score_frac 0.2 --sup_smt_interval 32 --sup_symb_ordering invfreq_arity --sup_term_weight default --sup_to_prop_solver passive --sup_unprocessed_bound 10 --superposition_flag true --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify   -t 3.67 --show_fool true" --time_out_real 11.00 /export/starexec/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_jwd7llpj/8u9ial3u 2>> /export/starexec/sandbox2/tmp/iprover_out_jwd7llpj/8u9ial3u_error
% 2.63/1.18  ERROR - "ProverProcess:heur/vip_65097:3.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 2.63/1.18  Fatal error: exception Failure("undefined enum value")
% 2.63/1.18  ERROR - cmd was:  ulimit -v 4023281; ./res/iproveropt --comb_inst_mult 3 --comb_mode clause_based --comb_res_mult 3 --comb_sup_deep_mult 0 --comb_sup_mult 0 --conj_cone_tolerance 4.0357851670394345 --extra_neg_conj none --inst_activity_threshold 512 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp true --inst_learning_factor 2 --inst_learning_loop_flag true --inst_learning_start 2048 --inst_lit_activity_flag true --inst_lit_sel "[+split;-sign;-depth]" --inst_lit_sel_side none --inst_orphan_elimination true --inst_passive_queue_type queue --inst_passive_queues "[[+age;+num_lits;-age];[-age;-min_def_symb;+bc_imp_inh]]" --inst_passive_queues_freq "[2;2]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given true --inst_sel_renew solver --inst_solver_calls_frac 1.0 --inst_solver_per_active 1024 --inst_sos_flag true --inst_sos_phase false --inst_sos_sth_lit_sel "[+split;-ground;-depth]" --inst_start_prop_sim_after_learn 3 --inst_subs_given true --inst_subs_new false --instantiation_flag true --out_options none --prep_sup_sim_all true --prep_sup_sim_sup false --preprocessed_out false --preprocessing_flag true --prolific_symb_bound 256 --proof_out true --prop_solver_per_cl 16384 --resolution_flag true --schedule none --share_sel_clauses false --stats_out none --subs_bck_mult 8 --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify   -t 1.00 --show_fool true" --time_out_real 3.00 /export/starexec/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_jwd7llpj/28kpi5zl 2>> /export/starexec/sandbox2/tmp/iprover_out_jwd7llpj/28kpi5zl_error
% 2.63/1.18  ERROR - "ProverProcess:heur/vip_65080:40.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 2.63/1.18  Fatal error: exception Failure("undefined enum value")
% 2.63/1.18  ERROR - cmd was:  ulimit -v 4023281; ./res/iproveropt --comb_mode time_based --comb_res_mult 6 --comb_sup_deep_mult 4 --comb_sup_mult 6 --conj_cone_tolerance 1.895766803319499 --demod_completeness_check fullold --demod_use_ground false --extra_neg_conj all_pos_neg --instantiation_flag false --out_options none --preprocessed_out false --preprocessing_flag false --prolific_symb_bound 1024 --proof_out true --prop_solver_per_cl 128 --res_to_smt_solver false --resolution_flag true --schedule none --share_sel_clauses true --stats_out none --subs_bck_mult 16 --sup_bw_gjoin_interval 100 --sup_cache_sim none --sup_full_bw "[Subsumption;SubsumptionRes;UnitSubsAndRes]" --sup_full_fixpoint false --sup_full_fw "[]" --sup_fun_splitting false --sup_immed_bw_immed "[Subsumption;SubsumptionRes;UnitSubsAndRes]" --sup_immed_bw_main "[SubsumptionRes;UnitSubsAndRes;FullSubsAndRes;Demod;ACDemod]" --sup_immed_fixpoint false --sup_immed_fw_immed "[Subsumption;SubsumptionRes;FullSubsAndRes;Demod;LightNorm;ACDemod]" --sup_immed_fw_main "[Subsumption;UnitSubsAndRes;FullSubsAndRes;Demod;LightNorm;ACNormalisation;GroundJoinability;Connectedness]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_fixpoint false --sup_iter_deepening 2 --sup_main_fixpoint true --sup_ordering lpo --sup_passive_queue_type priority_queues --sup_passive_queues "[[+has_eq;-has_eq];[-num_var;-num_var];[+conj_dist;+ground;-max_atom_input_occur]]" --sup_passive_queues_freq "[1;4;4]" --sup_prop_simpl_given false --sup_prop_simpl_new false --sup_restarts_mult 4 --sup_score sim_d_gen --sup_share_max_num_cl 10 --sup_share_score_frac 0.2 --sup_smt_interval 32 --sup_symb_ordering invfreq_arity --sup_term_weight default --sup_to_prop_solver passive --sup_unprocessed_bound 10 --superposition_flag true --suppress_sat_res true --tptp_safe_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify   -t 13.33 --show_fool true" --time_out_real 40.00 /export/starexec/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_jwd7llpj/eox_0xqk 2>> /export/starexec/sandbox2/tmp/iprover_out_jwd7llpj/eox_0xqk_error
% 2.63/1.18  % SZS status Theorem for theBenchmark.p
% 2.63/1.18  
% 2.63/1.18  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.63/1.18  
% 2.63/1.18  % ------  iProver source info
% 2.63/1.18  
% 2.63/1.18  % git: date: 2026-07-19 20:42:38 +0200
% 2.63/1.18  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.63/1.18  % git: non_committed_changes: false
% 2.63/1.18  
% 2.63/1.18  % ------ Parsing...
% 2.63/1.18  % ------ Clausification by vclausify_rel  & Parsing by iProver...
% 2.63/1.18  % ------ Proving...
% 2.63/1.18  % ------ Problem Properties 
% 2.63/1.18  
% 2.63/1.18  % 
% 2.63/1.18  % clauses                               125
% 2.63/1.18  % conjectures                           102
% 2.63/1.18  % EPR                                   25
% 2.63/1.18  % Horn                                  46
% 2.63/1.18  % unary                                 40
% 2.63/1.18  % binary                                3
% 2.63/1.18  % lits                                  856
% 2.63/1.18  % lits eq                               690
% 2.63/1.18  % fd_pure                               0
% 2.63/1.18  % fd_pseudo                             0
% 2.63/1.18  % fd_cond                               0
% 2.63/1.18  % fd_pseudo_cond                        81
% 2.63/1.18  % AC symbols                            1
% 2.63/1.18  
% 2.63/1.18  % ------ Input Options Time Limit: Unbounded
% 2.63/1.18  
% 2.63/1.18  
% 2.63/1.18  % ------ 
% 2.63/1.18  % Current options:
% 2.63/1.18  % ------ 
% 2.63/1.18  
% 2.63/1.18  
% 2.63/1.18  % 
% 2.63/1.18  
% 2.63/1.18  % ------ Proving...
% 2.63/1.18  % 
% 2.63/1.18  
% 2.63/1.18  % SZS status Theorem for theBenchmark.p
% 2.63/1.18  
% 2.63/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.63/1.18  
% 2.63/1.18  
%------------------------------------------------------------------------------