TSTP Solution File: SYN425-1 by Paradox---4.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : SYN425-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:short
% Command  : paradox --no-progress --time %d --tstp --model %s

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 21 09:47:16 EDT 2022

% Result   : Satisfiable 0.41s 0.59s
% Output   : FiniteModel 0.41s
% Verified : 
% SZS Type : FiniteModel
%            Domain size           :    2

% Comments : 
%------------------------------------------------------------------------------
% domain size is 2
fof(domain,fi_domain,
    ! [X] :
      ( X = "1"
      | X = "2" ) ).

fof(a1193,fi_functors,
    a1193 = "2" ).

fof(a1194,fi_functors,
    a1194 = "2" ).

fof(a1195,fi_functors,
    a1195 = "2" ).

fof(a1199,fi_functors,
    a1199 = "1" ).

fof(a1200,fi_functors,
    a1200 = "1" ).

fof(a1201,fi_functors,
    a1201 = "1" ).

fof(a1202,fi_functors,
    a1202 = "1" ).

fof(a1203,fi_functors,
    a1203 = "1" ).

fof(a1207,fi_functors,
    a1207 = "2" ).

fof(a1208,fi_functors,
    a1208 = "1" ).

fof(a1210,fi_functors,
    a1210 = "1" ).

fof(a1211,fi_functors,
    a1211 = "1" ).

fof(a1212,fi_functors,
    a1212 = "1" ).

fof(a1214,fi_functors,
    a1214 = "1" ).

fof(a1215,fi_functors,
    a1215 = "1" ).

fof(a1216,fi_functors,
    a1216 = "1" ).

fof(a1218,fi_functors,
    a1218 = "1" ).

fof(a1219,fi_functors,
    a1219 = "1" ).

fof(a1220,fi_functors,
    a1220 = "1" ).

fof(a1221,fi_functors,
    a1221 = "1" ).

fof(a1222,fi_functors,
    a1222 = "1" ).

fof(a1223,fi_functors,
    a1223 = "2" ).

fof(a1224,fi_functors,
    a1224 = "1" ).

fof(a1226,fi_functors,
    a1226 = "1" ).

fof(a1227,fi_functors,
    a1227 = "1" ).

fof(a1229,fi_functors,
    a1229 = "1" ).

fof(a1230,fi_functors,
    a1230 = "2" ).

fof(a1231,fi_functors,
    a1231 = "2" ).

fof(a1233,fi_functors,
    a1233 = "1" ).

fof(a1234,fi_functors,
    a1234 = "1" ).

fof(a1235,fi_functors,
    a1235 = "1" ).

fof(a1236,fi_functors,
    a1236 = "1" ).

fof(a1237,fi_functors,
    a1237 = "1" ).

fof(a1238,fi_functors,
    a1238 = "1" ).

fof(a1239,fi_functors,
    a1239 = "1" ).

fof(a1240,fi_functors,
    a1240 = "1" ).

fof(a1241,fi_functors,
    a1241 = "1" ).

fof(a1242,fi_functors,
    a1242 = "1" ).

fof(a1243,fi_functors,
    a1243 = "1" ).

fof(a1244,fi_functors,
    a1244 = "1" ).

fof(a1245,fi_functors,
    a1245 = "1" ).

fof(a1246,fi_functors,
    a1246 = "1" ).

fof(a1247,fi_functors,
    a1247 = "1" ).

fof(a1249,fi_functors,
    a1249 = "1" ).

fof(a1250,fi_functors,
    a1250 = "1" ).

fof(a1251,fi_functors,
    a1251 = "1" ).

fof(a1252,fi_functors,
    a1252 = "1" ).

fof(a1253,fi_functors,
    a1253 = "1" ).

fof(a1254,fi_functors,
    a1254 = "1" ).

fof(a1255,fi_functors,
    a1255 = "2" ).

fof(a1256,fi_functors,
    a1256 = "2" ).

fof(a1260,fi_functors,
    a1260 = "1" ).

fof(a1261,fi_functors,
    a1261 = "1" ).

fof(a1262,fi_functors,
    a1262 = "1" ).

fof(a1263,fi_functors,
    a1263 = "1" ).

fof(a1264,fi_functors,
    a1264 = "1" ).

fof(a1268,fi_functors,
    a1268 = "1" ).

fof(a1269,fi_functors,
    a1269 = "2" ).

fof(a1270,fi_functors,
    a1270 = "2" ).

fof(a1271,fi_functors,
    a1271 = "1" ).

fof(a1272,fi_functors,
    a1272 = "1" ).

fof(a1273,fi_functors,
    a1273 = "1" ).

fof(a1274,fi_functors,
    a1274 = "1" ).

fof(a1275,fi_functors,
    a1275 = "1" ).

fof(a1276,fi_functors,
    a1276 = "1" ).

fof(a1277,fi_functors,
    a1277 = "1" ).

fof(a1278,fi_functors,
    a1278 = "1" ).

fof(a1279,fi_functors,
    a1279 = "1" ).

fof(a1280,fi_functors,
    a1280 = "1" ).

fof(a1281,fi_functors,
    a1281 = "1" ).

fof(a1282,fi_functors,
    a1282 = "1" ).

fof(a1283,fi_functors,
    a1283 = "1" ).

fof(a1284,fi_functors,
    a1284 = "1" ).

fof(a1285,fi_functors,
    a1285 = "1" ).

fof(a1286,fi_functors,
    a1286 = "1" ).

fof(a1287,fi_functors,
    a1287 = "2" ).

fof(a1288,fi_functors,
    a1288 = "1" ).

fof(a1292,fi_functors,
    a1292 = "1" ).

fof(a1293,fi_functors,
    a1293 = "1" ).

fof(a1294,fi_functors,
    a1294 = "2" ).

fof(a1298,fi_functors,
    a1298 = "1" ).

fof(a1299,fi_functors,
    a1299 = "2" ).

fof(a1300,fi_functors,
    a1300 = "1" ).

fof(a1301,fi_functors,
    a1301 = "1" ).

fof(a1302,fi_functors,
    a1302 = "1" ).

fof(a1303,fi_functors,
    a1303 = "1" ).

fof(a1304,fi_functors,
    a1304 = "1" ).

fof(a1305,fi_functors,
    a1305 = "1" ).

fof(a1306,fi_functors,
    a1306 = "1" ).

fof(a1307,fi_functors,
    a1307 = "2" ).

fof(a1308,fi_functors,
    a1308 = "1" ).

fof(a1309,fi_functors,
    a1309 = "1" ).

fof(a1310,fi_functors,
    a1310 = "1" ).

fof(a1311,fi_functors,
    a1311 = "1" ).

fof(a1312,fi_functors,
    a1312 = "1" ).

fof(a1313,fi_functors,
    a1313 = "1" ).

fof(a1314,fi_functors,
    a1314 = "1" ).

fof(a1315,fi_functors,
    a1315 = "1" ).

fof(a1316,fi_functors,
    a1316 = "1" ).

fof(a1317,fi_functors,
    a1317 = "1" ).

fof(a1318,fi_functors,
    a1318 = "1" ).

fof(a1319,fi_functors,
    a1319 = "1" ).

fof(a1323,fi_functors,
    a1323 = "1" ).

fof(a1324,fi_functors,
    a1324 = "1" ).

fof(a1325,fi_functors,
    a1325 = "1" ).

fof(a1326,fi_functors,
    a1326 = "1" ).

fof(a1327,fi_functors,
    a1327 = "1" ).

fof(a1328,fi_functors,
    a1328 = "1" ).

fof(a1330,fi_functors,
    a1330 = "1" ).

fof(a1331,fi_functors,
    a1331 = "1" ).

fof(a1332,fi_functors,
    a1332 = "1" ).

fof(a1333,fi_functors,
    a1333 = "2" ).

fof(a1334,fi_functors,
    a1334 = "1" ).

fof(a1335,fi_functors,
    a1335 = "1" ).

fof(a1336,fi_functors,
    a1336 = "1" ).

fof(a1338,fi_functors,
    a1338 = "1" ).

fof(a1339,fi_functors,
    a1339 = "1" ).

fof(a1340,fi_functors,
    a1340 = "1" ).

fof(a1341,fi_functors,
    a1341 = "1" ).

fof(a1342,fi_functors,
    a1342 = "2" ).

fof(a1343,fi_functors,
    a1343 = "2" ).

fof(a1344,fi_functors,
    a1344 = "2" ).

fof(a1345,fi_functors,
    a1345 = "1" ).

fof(a1346,fi_functors,
    a1346 = "2" ).

fof(a1347,fi_functors,
    a1347 = "2" ).

fof(a1348,fi_functors,
    a1348 = "1" ).

fof(a1349,fi_functors,
    a1349 = "1" ).

fof(a1350,fi_functors,
    a1350 = "1" ).

fof(a1351,fi_functors,
    a1351 = "1" ).

fof(a1352,fi_functors,
    a1352 = "1" ).

fof(a1353,fi_functors,
    a1353 = "1" ).

fof(a1354,fi_functors,
    a1354 = "1" ).

fof(a1355,fi_functors,
    a1355 = "2" ).

fof(a1356,fi_functors,
    a1356 = "1" ).

fof(a1357,fi_functors,
    a1357 = "1" ).

fof(a1358,fi_functors,
    a1358 = "1" ).

fof(a1359,fi_functors,
    a1359 = "1" ).

fof(a1360,fi_functors,
    a1360 = "1" ).

fof(a1361,fi_functors,
    a1361 = "1" ).

fof(a1362,fi_functors,
    a1362 = "1" ).

fof(a1363,fi_functors,
    a1363 = "2" ).

fof(a1364,fi_functors,
    a1364 = "1" ).

fof(c10_0,fi_predicates,
    ( c10_0
  <=> $false ) ).

fof(c10_1,fi_predicates,
    ( ( c10_1("1")
    <=> $false )
    & ( c10_1("2")
    <=> $false ) ) ).

fof(c10_2,fi_predicates,
    ( ( c10_2("1","1")
    <=> $false )
    & ( c10_2("1","2")
    <=> $true )
    & ( c10_2("2","1")
    <=> $false )
    & ( c10_2("2","2")
    <=> $true ) ) ).

fof(c1_0,fi_predicates,
    ( c1_0
  <=> $true ) ).

fof(c1_1,fi_predicates,
    ( ( c1_1("1")
    <=> $true )
    & ( c1_1("2")
    <=> $true ) ) ).

fof(c1_2,fi_predicates,
    ( ( c1_2("1","1")
    <=> $true )
    & ( c1_2("1","2")
    <=> $false )
    & ( c1_2("2","1")
    <=> $false )
    & ( c1_2("2","2")
    <=> $true ) ) ).

fof(c2_0,fi_predicates,
    ( c2_0
  <=> $true ) ).

fof(c2_1,fi_predicates,
    ( ( c2_1("1")
    <=> $true )
    & ( c2_1("2")
    <=> $true ) ) ).

fof(c2_2,fi_predicates,
    ( ( c2_2("1","1")
    <=> $false )
    & ( c2_2("1","2")
    <=> $false )
    & ( c2_2("2","1")
    <=> $true )
    & ( c2_2("2","2")
    <=> $false ) ) ).

fof(c3_0,fi_predicates,
    ( c3_0
  <=> $true ) ).

fof(c3_1,fi_predicates,
    ( ( c3_1("1")
    <=> $false )
    & ( c3_1("2")
    <=> $true ) ) ).

fof(c3_2,fi_predicates,
    ( ( c3_2("1","1")
    <=> $true )
    & ( c3_2("1","2")
    <=> $false )
    & ( c3_2("2","1")
    <=> $false )
    & ( c3_2("2","2")
    <=> $false ) ) ).

fof(c4_0,fi_predicates,
    ( c4_0
  <=> $true ) ).

fof(c4_1,fi_predicates,
    ( ( c4_1("1")
    <=> $true )
    & ( c4_1("2")
    <=> $false ) ) ).

fof(c4_2,fi_predicates,
    ( ( c4_2("1","1")
    <=> $false )
    & ( c4_2("1","2")
    <=> $true )
    & ( c4_2("2","1")
    <=> $true )
    & ( c4_2("2","2")
    <=> $false ) ) ).

fof(c5_0,fi_predicates,
    ( c5_0
  <=> $false ) ).

fof(c5_1,fi_predicates,
    ( ( c5_1("1")
    <=> $false )
    & ( c5_1("2")
    <=> $true ) ) ).

fof(c5_2,fi_predicates,
    ( ( c5_2("1","1")
    <=> $false )
    & ( c5_2("1","2")
    <=> $true )
    & ( c5_2("2","1")
    <=> $true )
    & ( c5_2("2","2")
    <=> $false ) ) ).

fof(c6_0,fi_predicates,
    ( c6_0
  <=> $false ) ).

fof(c6_1,fi_predicates,
    ( ( c6_1("1")
    <=> $true )
    & ( c6_1("2")
    <=> $false ) ) ).

fof(c6_2,fi_predicates,
    ( ( c6_2("1","1")
    <=> $false )
    & ( c6_2("1","2")
    <=> $true )
    & ( c6_2("2","1")
    <=> $true )
    & ( c6_2("2","2")
    <=> $true ) ) ).

fof(c7_0,fi_predicates,
    ( c7_0
  <=> $false ) ).

fof(c7_1,fi_predicates,
    ( ( c7_1("1")
    <=> $true )
    & ( c7_1("2")
    <=> $true ) ) ).

fof(c7_2,fi_predicates,
    ( ( c7_2("1","1")
    <=> $false )
    & ( c7_2("1","2")
    <=> $true )
    & ( c7_2("2","1")
    <=> $false )
    & ( c7_2("2","2")
    <=> $false ) ) ).

fof(c8_0,fi_predicates,
    ( c8_0
  <=> $true ) ).

fof(c8_1,fi_predicates,
    ( ( c8_1("1")
    <=> $false )
    & ( c8_1("2")
    <=> $false ) ) ).

fof(c8_2,fi_predicates,
    ( ( c8_2("1","1")
    <=> $false )
    & ( c8_2("1","2")
    <=> $false )
    & ( c8_2("2","1")
    <=> $true )
    & ( c8_2("2","2")
    <=> $true ) ) ).

fof(c9_0,fi_predicates,
    ( c9_0
  <=> $true ) ).

fof(c9_1,fi_predicates,
    ( ( c9_1("1")
    <=> $false )
    & ( c9_1("2")
    <=> $true ) ) ).

fof(c9_2,fi_predicates,
    ( ( c9_2("1","1")
    <=> $false )
    & ( c9_2("1","2")
    <=> $false )
    & ( c9_2("2","1")
    <=> $false )
    & ( c9_2("2","2")
    <=> $false ) ) ).

fof(ndr1_0,fi_predicates,
    ( ndr1_0
  <=> $true ) ).

fof(ndr1_1,fi_predicates,
    ( ( ndr1_1("1")
    <=> $true )
    & ( ndr1_1("2")
    <=> $true ) ) ).

fof(ssSkC0,fi_predicates,
    ( ssSkC0
  <=> $true ) ).

fof(ssSkC1,fi_predicates,
    ( ssSkC1
  <=> $true ) ).

fof(ssSkC10,fi_predicates,
    ( ssSkC10
  <=> $true ) ).

fof(ssSkC11,fi_predicates,
    ( ssSkC11
  <=> $true ) ).

fof(ssSkC12,fi_predicates,
    ( ssSkC12
  <=> $true ) ).

fof(ssSkC13,fi_predicates,
    ( ssSkC13
  <=> $true ) ).

fof(ssSkC14,fi_predicates,
    ( ssSkC14
  <=> $true ) ).

fof(ssSkC15,fi_predicates,
    ( ssSkC15
  <=> $false ) ).

fof(ssSkC16,fi_predicates,
    ( ssSkC16
  <=> $true ) ).

fof(ssSkC17,fi_predicates,
    ( ssSkC17
  <=> $false ) ).

fof(ssSkC18,fi_predicates,
    ( ssSkC18
  <=> $true ) ).

fof(ssSkC19,fi_predicates,
    ( ssSkC19
  <=> $true ) ).

fof(ssSkC2,fi_predicates,
    ( ssSkC2
  <=> $true ) ).

fof(ssSkC20,fi_predicates,
    ( ssSkC20
  <=> $true ) ).

fof(ssSkC21,fi_predicates,
    ( ssSkC21
  <=> $true ) ).

fof(ssSkC22,fi_predicates,
    ( ssSkC22
  <=> $false ) ).

fof(ssSkC23,fi_predicates,
    ( ssSkC23
  <=> $true ) ).

fof(ssSkC24,fi_predicates,
    ( ssSkC24
  <=> $true ) ).

fof(ssSkC25,fi_predicates,
    ( ssSkC25
  <=> $false ) ).

fof(ssSkC26,fi_predicates,
    ( ssSkC26
  <=> $true ) ).

fof(ssSkC27,fi_predicates,
    ( ssSkC27
  <=> $false ) ).

fof(ssSkC28,fi_predicates,
    ( ssSkC28
  <=> $false ) ).

fof(ssSkC29,fi_predicates,
    ( ssSkC29
  <=> $true ) ).

fof(ssSkC3,fi_predicates,
    ( ssSkC3
  <=> $false ) ).

fof(ssSkC30,fi_predicates,
    ( ssSkC30
  <=> $true ) ).

fof(ssSkC31,fi_predicates,
    ( ssSkC31
  <=> $true ) ).

fof(ssSkC32,fi_predicates,
    ( ssSkC32
  <=> $false ) ).

fof(ssSkC33,fi_predicates,
    ( ssSkC33
  <=> $true ) ).

fof(ssSkC34,fi_predicates,
    ( ssSkC34
  <=> $true ) ).

fof(ssSkC4,fi_predicates,
    ( ssSkC4
  <=> $false ) ).

fof(ssSkC5,fi_predicates,
    ( ssSkC5
  <=> $true ) ).

fof(ssSkC6,fi_predicates,
    ( ssSkC6
  <=> $false ) ).

fof(ssSkC7,fi_predicates,
    ( ssSkC7
  <=> $true ) ).

fof(ssSkC8,fi_predicates,
    ( ssSkC8
  <=> $true ) ).

fof(ssSkC9,fi_predicates,
    ( ssSkC9
  <=> $true ) ).

fof(ssSkP0,fi_predicates,
    ! [X1] :
      ( ssSkP0(X1)
    <=> $true ) ).

fof(ssSkP1,fi_predicates,
    ( ( ssSkP1("1")
    <=> $true )
    & ( ssSkP1("2")
    <=> $true ) ) ).

fof(ssSkP10,fi_predicates,
    ( ( ssSkP10("1")
    <=> $true )
    & ( ssSkP10("2")
    <=> $true ) ) ).

fof(ssSkP11,fi_predicates,
    ( ( ssSkP11("1")
    <=> $true )
    & ( ssSkP11("2")
    <=> $true ) ) ).

fof(ssSkP2,fi_predicates,
    ( ( ssSkP2("1")
    <=> $true )
    & ( ssSkP2("2")
    <=> $true ) ) ).

fof(ssSkP3,fi_predicates,
    ! [X1] :
      ( ssSkP3(X1)
    <=> $true ) ).

fof(ssSkP4,fi_predicates,
    ( ( ssSkP4("1")
    <=> $true )
    & ( ssSkP4("2")
    <=> $true ) ) ).

fof(ssSkP5,fi_predicates,
    ( ( ssSkP5("1")
    <=> $true )
    & ( ssSkP5("2")
    <=> $true ) ) ).

fof(ssSkP6,fi_predicates,
    ( ( ssSkP6("1")
    <=> $true )
    & ( ssSkP6("2")
    <=> $true ) ) ).

fof(ssSkP7,fi_predicates,
    ( ( ssSkP7("1")
    <=> $true )
    & ( ssSkP7("2")
    <=> $true ) ) ).

fof(ssSkP8,fi_predicates,
    ( ( ssSkP8("1")
    <=> $true )
    & ( ssSkP8("2")
    <=> $true ) ) ).

fof(ssSkP9,fi_predicates,
    ( ( ssSkP9("1")
    <=> $true )
    & ( ssSkP9("2")
    <=> $true ) ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN425-1 : TPTP v8.1.0. Released v2.1.0.
% 0.11/0.13  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jul 12 07:07:47 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  Paradox, version 4.0, 2010-06-29.
% 0.13/0.35  +++ PROBLEM: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  Reading '/export/starexec/sandbox/benchmark/theBenchmark.p' ... OK
% 0.19/0.47  +++ SOLVING: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.59  +++ BEGIN MODEL
% 0.41/0.59  SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.41/0.59  +++ END MODEL
% 0.41/0.59  +++ RESULT: Satisfiable
% 0.41/0.59  SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
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