TSTP Solution File: SWV547-1.010 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV547-1.010 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 17:01:54 EDT 2024

% Result   : Unsatisfiable 0.23s 0.54s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   85
%            Number of leaves      :   82
% Syntax   : Number of formulae    :  247 ( 213 unt;   0 def)
%            Number of atoms       :  297 ( 296 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   60 (  10   ~;  50   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   92 (  92 usr;  90 con; 0-3 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2845,plain,
    $false,
    inference(trivial_inequality_removal,[],[f2844]) ).

fof(f2844,plain,
    e_1330 != e_1330,
    inference(superposition,[],[f2837,f2838]) ).

fof(f2838,plain,
    e_1330 = e_1373,
    inference(backward_demodulation,[],[f2826,f2836]) ).

fof(f2836,plain,
    e_1330 = e_1372,
    inference(forward_demodulation,[],[f2832,f2739]) ).

fof(f2739,plain,
    e_1330 = select(a_1333,i5),
    inference(backward_demodulation,[],[f104,f2737]) ).

fof(f2737,plain,
    e_1330 = e_1332,
    inference(forward_demodulation,[],[f2590,f61]) ).

fof(f61,axiom,
    e_1330 = select(a_1329,i5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp57) ).

fof(f2590,plain,
    e_1332 = select(a_1329,i5),
    inference(backward_demodulation,[],[f62,f2586]) ).

fof(f2586,plain,
    i5 = i9,
    inference(trivial_inequality_removal,[],[f2585]) ).

fof(f2585,plain,
    ( e_1332 != e_1332
    | i5 = i9 ),
    inference(duplicate_literal_removal,[],[f2584]) ).

fof(f2584,plain,
    ( e_1332 != e_1332
    | i5 = i9
    | i5 = i9 ),
    inference(superposition,[],[f2583,f2560]) ).

fof(f2560,plain,
    ( e_1332 = e_1372
    | i5 = i9 ),
    inference(forward_demodulation,[],[f2558,f104]) ).

fof(f2558,plain,
    ( e_1372 = select(a_1333,i5)
    | i5 = i9 ),
    inference(superposition,[],[f80,f2554]) ).

fof(f2554,plain,
    ( i5 = i_1371
    | i5 = i9 ),
    inference(trivial_inequality_removal,[],[f2553]) ).

fof(f2553,plain,
    ( e_1330 != e_1330
    | i5 = i_1371
    | i5 = i9 ),
    inference(duplicate_literal_removal,[],[f2552]) ).

fof(f2552,plain,
    ( e_1330 != e_1330
    | i5 = i_1371
    | i5 = i_1371
    | i5 = i9 ),
    inference(superposition,[],[f2543,f2544]) ).

fof(f2544,plain,
    ( e_1330 = e_1372
    | i5 = i_1371
    | i5 = i9 ),
    inference(superposition,[],[f2540,f465]) ).

fof(f465,plain,
    ( e_1330 = select(a_1333,i9)
    | i5 = i9 ),
    inference(superposition,[],[f156,f103]) ).

fof(f103,plain,
    e_1330 = select(a_1331,i9),
    inference(superposition,[],[f1,f22]) ).

fof(f22,axiom,
    a_1331 = store(a_1329,i9,e_1330),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp18) ).

fof(f1,axiom,
    ! [X2,X0,X1] : select(store(X0,X1,X2),X1) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).

fof(f156,plain,
    ! [X0] :
      ( select(a_1331,X0) = select(a_1333,X0)
      | i5 = X0 ),
    inference(superposition,[],[f2,f23]) ).

fof(f23,axiom,
    a_1333 = store(a_1331,i5,e_1332),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp19) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1] :
      ( select(store(X0,X1,X2),X3) = select(X0,X3)
      | X1 = X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2) ).

fof(f2540,plain,
    ( e_1372 = select(a_1333,i9)
    | i5 = i_1371 ),
    inference(superposition,[],[f80,f2538]) ).

fof(f2538,plain,
    ( i9 = i_1371
    | i5 = i_1371 ),
    inference(trivial_inequality_removal,[],[f2537]) ).

fof(f2537,plain,
    ( e_1372 != e_1372
    | i9 = i_1371
    | i5 = i_1371 ),
    inference(superposition,[],[f83,f2526]) ).

fof(f2526,plain,
    ( e_1372 = e_1373
    | i9 = i_1371
    | i5 = i_1371 ),
    inference(duplicate_literal_removal,[],[f2517]) ).

fof(f2517,plain,
    ( e_1372 = e_1373
    | i9 = i_1371
    | i5 = i_1371
    | i5 = i_1371
    | i9 = i_1371 ),
    inference(superposition,[],[f2410,f1556]) ).

fof(f1556,plain,
    ( e_1372 = select(a_1329,i_1371)
    | i5 = i_1371
    | i9 = i_1371 ),
    inference(superposition,[],[f466,f80]) ).

fof(f466,plain,
    ! [X0] :
      ( select(a_1329,X0) = select(a_1333,X0)
      | i5 = X0
      | i9 = X0 ),
    inference(superposition,[],[f156,f155]) ).

fof(f155,plain,
    ! [X0] :
      ( select(a_1329,X0) = select(a_1331,X0)
      | i9 = X0 ),
    inference(superposition,[],[f2,f22]) ).

fof(f2410,plain,
    ( e_1373 = select(a_1329,i_1371)
    | i9 = i_1371
    | i5 = i_1371 ),
    inference(backward_demodulation,[],[f1942,f2396]) ).

fof(f2396,plain,
    a_1329 = a_1366,
    inference(forward_demodulation,[],[f2394,f21]) ).

fof(f21,axiom,
    a_1329 = store(a_1327,i0,e_1328),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp17) ).

fof(f2394,plain,
    store(a_1327,i0,e_1328) = a_1366,
    inference(backward_demodulation,[],[f2372,f2386]) ).

fof(f2386,plain,
    e_1328 = e_1365,
    inference(forward_demodulation,[],[f2323,f60]) ).

fof(f60,axiom,
    e_1328 = select(a_1325,i3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp56) ).

fof(f2323,plain,
    e_1365 = select(a_1325,i3),
    inference(backward_demodulation,[],[f77,f2320]) ).

fof(f2320,plain,
    a_1325 = a_1362,
    inference(forward_demodulation,[],[f2319,f19]) ).

fof(f19,axiom,
    a_1325 = store(a_1323,i2,e_1324),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp15) ).

fof(f2319,plain,
    store(a_1323,i2,e_1324) = a_1362,
    inference(forward_demodulation,[],[f2318,f1808]) ).

fof(f1808,plain,
    a_1362 = store(a_1360,i1,e_1322),
    inference(backward_demodulation,[],[f39,f1807]) ).

fof(f1807,plain,
    e_1322 = e_1361,
    inference(forward_demodulation,[],[f1766,f57]) ).

fof(f57,axiom,
    e_1322 = select(a_1321,i2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp53) ).

fof(f1766,plain,
    e_1361 = select(a_1321,i2),
    inference(backward_demodulation,[],[f75,f1763]) ).

fof(f1763,plain,
    a_1321 = a_1358,
    inference(forward_demodulation,[],[f1759,f17]) ).

fof(f17,axiom,
    a_1321 = store(a_1320,i0,e_1319),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp13) ).

fof(f1759,plain,
    store(a_1320,i0,e_1319) = a_1358,
    inference(backward_demodulation,[],[f1739,f1754]) ).

fof(f1754,plain,
    a_1320 = a_1357,
    inference(forward_demodulation,[],[f1753,f16]) ).

fof(f16,axiom,
    a_1320 = store(a_1318,i0,e_1319),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp12) ).

fof(f1753,plain,
    store(a_1318,i0,e_1319) = a_1357,
    inference(backward_demodulation,[],[f1715,f1738]) ).

fof(f1738,plain,
    e_1319 = e_1356,
    inference(forward_demodulation,[],[f1716,f56]) ).

fof(f56,axiom,
    e_1319 = select(a_1318,i0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp52) ).

fof(f1716,plain,
    e_1356 = select(a_1318,i0),
    inference(backward_demodulation,[],[f73,f1714]) ).

fof(f1714,plain,
    a_1318 = a_1355,
    inference(forward_demodulation,[],[f1713,f15]) ).

fof(f15,axiom,
    a_1318 = store(a_1316,i5,e_1317),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp11) ).

fof(f1713,plain,
    store(a_1316,i5,e_1317) = a_1355,
    inference(backward_demodulation,[],[f1697,f1705]) ).

fof(f1705,plain,
    e_1317 = e_1354,
    inference(forward_demodulation,[],[f1652,f55]) ).

fof(f55,axiom,
    e_1317 = select(a_1314,i4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp51) ).

fof(f1652,plain,
    e_1354 = select(a_1314,i4),
    inference(backward_demodulation,[],[f72,f1649]) ).

fof(f1649,plain,
    a_1314 = a_1351,
    inference(forward_demodulation,[],[f1648,f13]) ).

fof(f13,axiom,
    a_1314 = store(a_1312,i1,e_1313),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp9) ).

fof(f1648,plain,
    store(a_1312,i1,e_1313) = a_1351,
    inference(forward_demodulation,[],[f1647,f1445]) ).

fof(f1445,plain,
    a_1351 = store(a_1349,i7,e_1311),
    inference(backward_demodulation,[],[f33,f1444]) ).

fof(f1444,plain,
    e_1311 = e_1350,
    inference(forward_demodulation,[],[f1414,f52]) ).

fof(f52,axiom,
    e_1311 = select(a_1310,i1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp48) ).

fof(f1414,plain,
    e_1350 = select(a_1310,i1),
    inference(backward_demodulation,[],[f70,f1411]) ).

fof(f1411,plain,
    a_1310 = a_1347,
    inference(forward_demodulation,[],[f1410,f11]) ).

fof(f11,axiom,
    a_1310 = store(a_1308,i9,e_1309),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp7) ).

fof(f1410,plain,
    store(a_1308,i9,e_1309) = a_1347,
    inference(backward_demodulation,[],[f1398,f1406]) ).

fof(f1406,plain,
    e_1309 = e_1346,
    inference(forward_demodulation,[],[f1365,f51]) ).

fof(f51,axiom,
    e_1309 = select(a_1306,i4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp47) ).

fof(f1365,plain,
    e_1346 = select(a_1306,i4),
    inference(backward_demodulation,[],[f68,f1362]) ).

fof(f1362,plain,
    a_1306 = a_1343,
    inference(forward_demodulation,[],[f1361,f125]) ).

fof(f125,plain,
    a_1306 = store(a_1304,i5,e_1301),
    inference(backward_demodulation,[],[f9,f124]) ).

fof(f124,plain,
    e_1301 = e_1305,
    inference(backward_demodulation,[],[f49,f88]) ).

fof(f88,plain,
    e_1301 = select(a_1302,i8),
    inference(superposition,[],[f1,f7]) ).

fof(f7,axiom,
    a_1302 = store(a_1300,i8,e_1301),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp3) ).

fof(f49,axiom,
    e_1305 = select(a_1302,i8),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp45) ).

fof(f9,axiom,
    a_1306 = store(a_1304,i5,e_1305),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp5) ).

fof(f1361,plain,
    a_1343 = store(a_1304,i5,e_1301),
    inference(forward_demodulation,[],[f1360,f1089]) ).

fof(f1089,plain,
    a_1343 = store(a_1341,i8,e_1303),
    inference(backward_demodulation,[],[f29,f1088]) ).

fof(f1088,plain,
    e_1303 = e_1342,
    inference(forward_demodulation,[],[f1068,f48]) ).

fof(f48,axiom,
    e_1303 = select(a_1302,i5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp44) ).

fof(f1068,plain,
    e_1342 = select(a_1302,i5),
    inference(backward_demodulation,[],[f66,f1067]) ).

fof(f1067,plain,
    a_1302 = a_1339,
    inference(forward_demodulation,[],[f1066,f7]) ).

fof(f1066,plain,
    store(a_1300,i8,e_1301) = a_1339,
    inference(backward_demodulation,[],[f1032,f1058]) ).

fof(f1058,plain,
    a_1300 = a_1337,
    inference(forward_demodulation,[],[f1012,f1046]) ).

fof(f1046,plain,
    a_1300 = store(a_1298,i6,e_1295),
    inference(backward_demodulation,[],[f6,f1045]) ).

fof(f1045,plain,
    e_1295 = e_1299,
    inference(backward_demodulation,[],[f46,f1011]) ).

fof(f1011,plain,
    e_1295 = select(a_1298,i8),
    inference(backward_demodulation,[],[f105,f1008]) ).

fof(f1008,plain,
    a_1298 = a_1335,
    inference(forward_demodulation,[],[f1007,f5]) ).

fof(f5,axiom,
    a_1298 = store(a_1296,i7,e_1297),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp1) ).

fof(f1007,plain,
    store(a_1296,i7,e_1297) = a_1335,
    inference(forward_demodulation,[],[f1006,f25]) ).

fof(f25,axiom,
    a_1335 = store(a_1334,i8,e_1295),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp21) ).

fof(f1006,plain,
    store(a_1296,i7,e_1297) = store(a_1334,i8,e_1295),
    inference(forward_demodulation,[],[f1005,f24]) ).

fof(f24,axiom,
    a_1334 = store(a1,i7,e_1297),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp20) ).

fof(f1005,plain,
    store(a_1296,i7,e_1297) = store(store(a1,i7,e_1297),i8,e_1295),
    inference(forward_demodulation,[],[f1002,f4]) ).

fof(f4,axiom,
    a_1296 = store(a1,i8,e_1295),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp0) ).

fof(f1002,plain,
    store(store(a1,i7,e_1297),i8,e_1295) = store(store(a1,i8,e_1295),i7,e_1297),
    inference(superposition,[],[f181,f45]) ).

fof(f45,axiom,
    e_1297 = select(a1,i8),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp41) ).

fof(f181,plain,
    ! [X0] : store(store(a1,i7,select(a1,X0)),X0,e_1295) = store(store(a1,X0,e_1295),i7,select(a1,X0)),
    inference(superposition,[],[f3,f44]) ).

fof(f44,axiom,
    e_1295 = select(a1,i7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp40) ).

fof(f3,axiom,
    ! [X3,X0,X1] : store(store(X0,X1,select(X0,X3)),X3,select(X0,X1)) = store(store(X0,X3,select(X0,X1)),X1,select(X0,X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3) ).

fof(f105,plain,
    e_1295 = select(a_1335,i8),
    inference(superposition,[],[f1,f25]) ).

fof(f46,axiom,
    e_1299 = select(a_1298,i8),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp42) ).

fof(f6,axiom,
    a_1300 = store(a_1298,i6,e_1299),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp2) ).

fof(f1012,plain,
    a_1337 = store(a_1298,i6,e_1295),
    inference(backward_demodulation,[],[f128,f1008]) ).

fof(f128,plain,
    a_1337 = store(a_1335,i6,e_1295),
    inference(backward_demodulation,[],[f26,f127]) ).

fof(f127,plain,
    e_1295 = e_1336,
    inference(backward_demodulation,[],[f63,f105]) ).

fof(f63,axiom,
    e_1336 = select(a_1335,i8),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp59) ).

fof(f26,axiom,
    a_1337 = store(a_1335,i6,e_1336),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp22) ).

fof(f1032,plain,
    a_1339 = store(a_1337,i8,e_1301),
    inference(backward_demodulation,[],[f27,f1031]) ).

fof(f1031,plain,
    e_1301 = e_1338,
    inference(forward_demodulation,[],[f1010,f47]) ).

fof(f47,axiom,
    e_1301 = select(a_1298,i6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp43) ).

fof(f1010,plain,
    e_1338 = select(a_1298,i6),
    inference(backward_demodulation,[],[f64,f1008]) ).

fof(f64,axiom,
    e_1338 = select(a_1335,i6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp60) ).

fof(f27,axiom,
    a_1339 = store(a_1337,i8,e_1338),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp23) ).

fof(f66,axiom,
    e_1342 = select(a_1339,i5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp62) ).

fof(f29,axiom,
    a_1343 = store(a_1341,i8,e_1342),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp25) ).

fof(f1360,plain,
    store(a_1304,i5,e_1301) = store(a_1341,i8,e_1303),
    inference(forward_demodulation,[],[f1359,f1081]) ).

fof(f1081,plain,
    a_1341 = store(a_1302,i5,e_1301),
    inference(backward_demodulation,[],[f1035,f1067]) ).

fof(f1035,plain,
    a_1341 = store(a_1339,i5,e_1301),
    inference(backward_demodulation,[],[f131,f1031]) ).

fof(f131,plain,
    a_1341 = store(a_1339,i5,e_1338),
    inference(backward_demodulation,[],[f28,f130]) ).

fof(f130,plain,
    e_1338 = e_1340,
    inference(backward_demodulation,[],[f65,f107]) ).

fof(f107,plain,
    e_1338 = select(a_1339,i8),
    inference(superposition,[],[f1,f27]) ).

fof(f65,axiom,
    e_1340 = select(a_1339,i8),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp61) ).

fof(f28,axiom,
    a_1341 = store(a_1339,i5,e_1340),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp24) ).

fof(f1359,plain,
    store(a_1304,i5,e_1301) = store(store(a_1302,i5,e_1301),i8,e_1303),
    inference(forward_demodulation,[],[f1353,f8]) ).

fof(f8,axiom,
    a_1304 = store(a_1302,i8,e_1303),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp4) ).

fof(f1353,plain,
    store(store(a_1302,i5,e_1301),i8,e_1303) = store(store(a_1302,i8,e_1303),i5,e_1301),
    inference(superposition,[],[f187,f88]) ).

fof(f187,plain,
    ! [X0] : store(store(a_1302,i5,select(a_1302,X0)),X0,e_1303) = store(store(a_1302,X0,e_1303),i5,select(a_1302,X0)),
    inference(superposition,[],[f3,f48]) ).

fof(f68,axiom,
    e_1346 = select(a_1343,i4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp64) ).

fof(f1398,plain,
    a_1347 = store(a_1308,i9,e_1346),
    inference(backward_demodulation,[],[f31,f1397]) ).

fof(f1397,plain,
    a_1308 = a_1345,
    inference(forward_demodulation,[],[f1396,f10]) ).

fof(f10,axiom,
    a_1308 = store(a_1306,i4,e_1307),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp6) ).

fof(f1396,plain,
    store(a_1306,i4,e_1307) = a_1345,
    inference(backward_demodulation,[],[f1363,f1388]) ).

fof(f1388,plain,
    e_1307 = e_1344,
    inference(forward_demodulation,[],[f1364,f50]) ).

fof(f50,axiom,
    e_1307 = select(a_1306,i9),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp46) ).

fof(f1364,plain,
    e_1344 = select(a_1306,i9),
    inference(backward_demodulation,[],[f67,f1362]) ).

fof(f67,axiom,
    e_1344 = select(a_1343,i9),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp63) ).

fof(f1363,plain,
    a_1345 = store(a_1306,i4,e_1344),
    inference(backward_demodulation,[],[f30,f1362]) ).

fof(f30,axiom,
    a_1345 = store(a_1343,i4,e_1344),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp26) ).

fof(f31,axiom,
    a_1347 = store(a_1345,i9,e_1346),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp27) ).

fof(f70,axiom,
    e_1350 = select(a_1347,i1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp66) ).

fof(f33,axiom,
    a_1351 = store(a_1349,i7,e_1350),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp29) ).

fof(f1647,plain,
    store(a_1312,i1,e_1313) = store(a_1349,i7,e_1311),
    inference(forward_demodulation,[],[f1646,f1443]) ).

fof(f1443,plain,
    a_1349 = store(a_1310,i1,e_1313),
    inference(backward_demodulation,[],[f1412,f1435]) ).

fof(f1435,plain,
    e_1313 = e_1348,
    inference(forward_demodulation,[],[f1413,f53]) ).

fof(f53,axiom,
    e_1313 = select(a_1310,i7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp49) ).

fof(f1413,plain,
    e_1348 = select(a_1310,i7),
    inference(backward_demodulation,[],[f69,f1411]) ).

fof(f69,axiom,
    e_1348 = select(a_1347,i7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp65) ).

fof(f1412,plain,
    a_1349 = store(a_1310,i1,e_1348),
    inference(backward_demodulation,[],[f32,f1411]) ).

fof(f32,axiom,
    a_1349 = store(a_1347,i1,e_1348),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp28) ).

fof(f1646,plain,
    store(a_1312,i1,e_1313) = store(store(a_1310,i1,e_1313),i7,e_1311),
    inference(forward_demodulation,[],[f1640,f12]) ).

fof(f12,axiom,
    a_1312 = store(a_1310,i7,e_1311),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp8) ).

fof(f1640,plain,
    store(store(a_1310,i1,e_1313),i7,e_1311) = store(store(a_1310,i7,e_1311),i1,e_1313),
    inference(superposition,[],[f194,f53]) ).

fof(f194,plain,
    ! [X0] : store(store(a_1310,i1,select(a_1310,X0)),X0,e_1311) = store(store(a_1310,X0,e_1311),i1,select(a_1310,X0)),
    inference(superposition,[],[f3,f52]) ).

fof(f72,axiom,
    e_1354 = select(a_1351,i4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp68) ).

fof(f1697,plain,
    a_1355 = store(a_1316,i5,e_1354),
    inference(backward_demodulation,[],[f35,f1696]) ).

fof(f1696,plain,
    a_1316 = a_1353,
    inference(forward_demodulation,[],[f1695,f14]) ).

fof(f14,axiom,
    a_1316 = store(a_1314,i4,e_1315),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp10) ).

fof(f1695,plain,
    store(a_1314,i4,e_1315) = a_1353,
    inference(backward_demodulation,[],[f1650,f1683]) ).

fof(f1683,plain,
    e_1315 = e_1352,
    inference(forward_demodulation,[],[f1651,f54]) ).

fof(f54,axiom,
    e_1315 = select(a_1314,i5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp50) ).

fof(f1651,plain,
    e_1352 = select(a_1314,i5),
    inference(backward_demodulation,[],[f71,f1649]) ).

fof(f71,axiom,
    e_1352 = select(a_1351,i5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp67) ).

fof(f1650,plain,
    a_1353 = store(a_1314,i4,e_1352),
    inference(backward_demodulation,[],[f34,f1649]) ).

fof(f34,axiom,
    a_1353 = store(a_1351,i4,e_1352),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp30) ).

fof(f35,axiom,
    a_1355 = store(a_1353,i5,e_1354),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp31) ).

fof(f73,axiom,
    e_1356 = select(a_1355,i0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp69) ).

fof(f1715,plain,
    a_1357 = store(a_1318,i0,e_1356),
    inference(backward_demodulation,[],[f36,f1714]) ).

fof(f36,axiom,
    a_1357 = store(a_1355,i0,e_1356),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp32) ).

fof(f1739,plain,
    a_1358 = store(a_1357,i0,e_1319),
    inference(backward_demodulation,[],[f37,f1738]) ).

fof(f37,axiom,
    a_1358 = store(a_1357,i0,e_1356),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp33) ).

fof(f75,axiom,
    e_1361 = select(a_1358,i2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp71) ).

fof(f39,axiom,
    a_1362 = store(a_1360,i1,e_1361),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp35) ).

fof(f2318,plain,
    store(a_1323,i2,e_1324) = store(a_1360,i1,e_1322),
    inference(forward_demodulation,[],[f2317,f1806]) ).

fof(f1806,plain,
    a_1360 = store(a_1321,i2,e_1324),
    inference(backward_demodulation,[],[f1764,f1798]) ).

fof(f1798,plain,
    e_1324 = e_1359,
    inference(forward_demodulation,[],[f1765,f58]) ).

fof(f58,axiom,
    e_1324 = select(a_1321,i1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp54) ).

fof(f1765,plain,
    e_1359 = select(a_1321,i1),
    inference(backward_demodulation,[],[f74,f1763]) ).

fof(f74,axiom,
    e_1359 = select(a_1358,i1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp70) ).

fof(f1764,plain,
    a_1360 = store(a_1321,i2,e_1359),
    inference(backward_demodulation,[],[f38,f1763]) ).

fof(f38,axiom,
    a_1360 = store(a_1358,i2,e_1359),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp34) ).

fof(f2317,plain,
    store(a_1323,i2,e_1324) = store(store(a_1321,i2,e_1324),i1,e_1322),
    inference(forward_demodulation,[],[f2311,f18]) ).

fof(f18,axiom,
    a_1323 = store(a_1321,i1,e_1322),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp14) ).

fof(f2311,plain,
    store(store(a_1321,i2,e_1324),i1,e_1322) = store(store(a_1321,i1,e_1322),i2,e_1324),
    inference(superposition,[],[f205,f58]) ).

fof(f205,plain,
    ! [X0] : store(store(a_1321,i2,select(a_1321,X0)),X0,e_1322) = store(store(a_1321,X0,e_1322),i2,select(a_1321,X0)),
    inference(superposition,[],[f3,f57]) ).

fof(f77,axiom,
    e_1365 = select(a_1362,i3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp73) ).

fof(f2372,plain,
    a_1366 = store(a_1327,i0,e_1365),
    inference(backward_demodulation,[],[f41,f2371]) ).

fof(f2371,plain,
    a_1327 = a_1364,
    inference(forward_demodulation,[],[f2370,f20]) ).

fof(f20,axiom,
    a_1327 = store(a_1325,i3,e_1326),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp16) ).

fof(f2370,plain,
    store(a_1325,i3,e_1326) = a_1364,
    inference(backward_demodulation,[],[f2321,f2362]) ).

fof(f2362,plain,
    e_1326 = e_1363,
    inference(forward_demodulation,[],[f2322,f59]) ).

fof(f59,axiom,
    e_1326 = select(a_1325,i0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp55) ).

fof(f2322,plain,
    e_1363 = select(a_1325,i0),
    inference(backward_demodulation,[],[f76,f2320]) ).

fof(f76,axiom,
    e_1363 = select(a_1362,i0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp72) ).

fof(f2321,plain,
    a_1364 = store(a_1325,i3,e_1363),
    inference(backward_demodulation,[],[f40,f2320]) ).

fof(f40,axiom,
    a_1364 = store(a_1362,i3,e_1363),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp36) ).

fof(f41,axiom,
    a_1366 = store(a_1364,i0,e_1365),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp37) ).

fof(f1942,plain,
    ( e_1373 = select(a_1366,i_1371)
    | i9 = i_1371
    | i5 = i_1371 ),
    inference(superposition,[],[f582,f81]) ).

fof(f81,axiom,
    e_1373 = select(a_1370,i_1371),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp77) ).

fof(f582,plain,
    ! [X0] :
      ( select(a_1366,X0) = select(a_1370,X0)
      | i9 = X0
      | i5 = X0 ),
    inference(superposition,[],[f175,f174]) ).

fof(f174,plain,
    ! [X0] :
      ( select(a_1366,X0) = select(a_1368,X0)
      | i5 = X0 ),
    inference(superposition,[],[f2,f42]) ).

fof(f42,axiom,
    a_1368 = store(a_1366,i5,e_1367),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp38) ).

fof(f175,plain,
    ! [X0] :
      ( select(a_1368,X0) = select(a_1370,X0)
      | i9 = X0 ),
    inference(superposition,[],[f2,f43]) ).

fof(f43,axiom,
    a_1370 = store(a_1368,i9,e_1369),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp39) ).

fof(f83,axiom,
    e_1372 != e_1373,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

fof(f2543,plain,
    ( e_1330 != e_1372
    | i5 = i_1371 ),
    inference(superposition,[],[f83,f2542]) ).

fof(f2542,plain,
    ( e_1330 = e_1373
    | i5 = i_1371 ),
    inference(forward_demodulation,[],[f2539,f2439]) ).

fof(f2439,plain,
    e_1330 = select(a_1370,i9),
    inference(backward_demodulation,[],[f123,f2437]) ).

fof(f2437,plain,
    e_1330 = e_1369,
    inference(forward_demodulation,[],[f2399,f61]) ).

fof(f2399,plain,
    e_1369 = select(a_1329,i5),
    inference(backward_demodulation,[],[f79,f2396]) ).

fof(f79,axiom,
    e_1369 = select(a_1366,i5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp75) ).

fof(f123,plain,
    e_1369 = select(a_1370,i9),
    inference(superposition,[],[f1,f43]) ).

fof(f2539,plain,
    ( e_1373 = select(a_1370,i9)
    | i5 = i_1371 ),
    inference(superposition,[],[f81,f2538]) ).

fof(f80,axiom,
    e_1372 = select(a_1333,i_1371),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp76) ).

fof(f2583,plain,
    ( e_1332 != e_1372
    | i5 = i9 ),
    inference(superposition,[],[f83,f2580]) ).

fof(f2580,plain,
    ( e_1332 = e_1373
    | i5 = i9 ),
    inference(duplicate_literal_removal,[],[f2573]) ).

fof(f2573,plain,
    ( e_1332 = e_1373
    | i5 = i9
    | i5 = i9 ),
    inference(superposition,[],[f2557,f2431]) ).

fof(f2431,plain,
    ( e_1332 = select(a_1370,i5)
    | i5 = i9 ),
    inference(backward_demodulation,[],[f581,f2428]) ).

fof(f2428,plain,
    e_1332 = e_1367,
    inference(forward_demodulation,[],[f2398,f62]) ).

fof(f2398,plain,
    e_1367 = select(a_1329,i9),
    inference(backward_demodulation,[],[f78,f2396]) ).

fof(f78,axiom,
    e_1367 = select(a_1366,i9),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp74) ).

fof(f581,plain,
    ( e_1367 = select(a_1370,i5)
    | i5 = i9 ),
    inference(superposition,[],[f175,f122]) ).

fof(f122,plain,
    e_1367 = select(a_1368,i5),
    inference(superposition,[],[f1,f42]) ).

fof(f2557,plain,
    ( e_1373 = select(a_1370,i5)
    | i5 = i9 ),
    inference(superposition,[],[f81,f2554]) ).

fof(f62,axiom,
    e_1332 = select(a_1329,i9),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp58) ).

fof(f104,plain,
    e_1332 = select(a_1333,i5),
    inference(superposition,[],[f1,f23]) ).

fof(f2832,plain,
    e_1372 = select(a_1333,i5),
    inference(backward_demodulation,[],[f80,f2693]) ).

fof(f2693,plain,
    i5 = i_1371,
    inference(duplicate_literal_removal,[],[f2685]) ).

fof(f2685,plain,
    ( i5 = i_1371
    | i5 = i_1371 ),
    inference(backward_demodulation,[],[f2538,f2586]) ).

fof(f2826,plain,
    e_1372 = e_1373,
    inference(forward_demodulation,[],[f2814,f80]) ).

fof(f2814,plain,
    select(a_1333,i_1371) = e_1373,
    inference(backward_demodulation,[],[f81,f2813]) ).

fof(f2813,plain,
    a_1333 = a_1370,
    inference(forward_demodulation,[],[f2812,f2738]) ).

fof(f2738,plain,
    a_1333 = store(a_1331,i5,e_1330),
    inference(backward_demodulation,[],[f23,f2737]) ).

fof(f2812,plain,
    a_1370 = store(a_1331,i5,e_1330),
    inference(forward_demodulation,[],[f2681,f2747]) ).

fof(f2747,plain,
    a_1331 = a_1368,
    inference(forward_demodulation,[],[f2746,f2588]) ).

fof(f2588,plain,
    a_1331 = store(a_1329,i5,e_1330),
    inference(backward_demodulation,[],[f22,f2586]) ).

fof(f2746,plain,
    a_1368 = store(a_1329,i5,e_1330),
    inference(backward_demodulation,[],[f2436,f2737]) ).

fof(f2436,plain,
    a_1368 = store(a_1329,i5,e_1332),
    inference(backward_demodulation,[],[f2397,f2428]) ).

fof(f2397,plain,
    a_1368 = store(a_1329,i5,e_1367),
    inference(backward_demodulation,[],[f42,f2396]) ).

fof(f2681,plain,
    a_1370 = store(a_1368,i5,e_1330),
    inference(backward_demodulation,[],[f2438,f2586]) ).

fof(f2438,plain,
    a_1370 = store(a_1368,i9,e_1330),
    inference(backward_demodulation,[],[f43,f2437]) ).

fof(f2837,plain,
    e_1330 != e_1373,
    inference(backward_demodulation,[],[f83,f2836]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SWV547-1.010 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n022.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 04:45:58 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.37  % (11880)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (11883)WARNING: value z3 for option sas not known
% 0.15/0.39  % (11882)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39  % (11884)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39  % (11883)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.39  % (11885)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.39  % (11886)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.39  % (11881)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39  % (11887)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [2]
% 0.15/0.40  TRYING [1]
% 0.15/0.40  TRYING [2]
% 0.15/0.40  TRYING [3]
% 0.23/0.43  TRYING [3]
% 0.23/0.45  TRYING [4]
% 0.23/0.48  TRYING [1]
% 0.23/0.48  TRYING [2]
% 0.23/0.49  TRYING [3]
% 0.23/0.51  TRYING [4]
% 0.23/0.52  TRYING [4]
% 0.23/0.54  % (11886)First to succeed.
% 0.23/0.54  % (11886)Refutation found. Thanks to Tanya!
% 0.23/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.23/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.54  % (11886)------------------------------
% 0.23/0.54  % (11886)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.23/0.54  % (11886)Termination reason: Refutation
% 0.23/0.54  
% 0.23/0.54  % (11886)Memory used [KB]: 2322
% 0.23/0.54  % (11886)Time elapsed: 0.155 s
% 0.23/0.54  % (11886)Instructions burned: 297 (million)
% 0.23/0.54  % (11886)------------------------------
% 0.23/0.54  % (11886)------------------------------
% 0.23/0.54  % (11880)Success in time 0.167 s
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