TSTP Solution File: RNG081+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG081+2 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n004.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 May 21 02:41:45 EDT 2024
% Result : Theorem 2.52s 0.76s
% Output : Refutation 2.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 103
% Syntax : Number of formulae : 1636 ( 92 unt; 0 def)
% Number of atoms : 4649 (1545 equ)
% Maximal formula atoms : 40 ( 2 avg)
% Number of connectives : 5324 (2311 ~;2426 |; 474 &)
% ( 39 <=>; 74 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 6 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 58 ( 56 usr; 36 prp; 0-9 aty)
% Number of functors : 28 ( 28 usr; 5 con; 0-9 aty)
% Number of variables : 4764 (4645 !; 119 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8018,plain,
$false,
inference(avatar_sat_refutation,[],[f308,f320,f324,f478,f481,f494,f512,f524,f527,f533,f543,f1136,f1139,f1220,f1638,f1654,f1667,f1673,f1676,f1678,f1757,f1857,f1863,f1866,f1868,f1947,f2086,f2654,f2659,f2662,f2758,f2863,f2886,f3392,f3396,f4390,f4398,f5311,f5419,f5422,f5459,f5615,f5640,f5643,f6087,f6090,f6121,f6374,f6377,f6519,f8017]) ).
fof(f8017,plain,
~ spl33_1,
inference(avatar_contradiction_clause,[],[f8016]) ).
fof(f8016,plain,
( $false
| ~ spl33_1 ),
inference(resolution,[],[f8014,f6222]) ).
fof(f6222,plain,
( sP10(sK17,sziznziztdt0(xt),sdtlbdtrb0(xs,aDimensionOf0(xs)))
| ~ spl33_1 ),
inference(subsumption_resolution,[],[f6220,f5542]) ).
fof(f5542,plain,
( sP11(sziznziztdt0(xt),sK17)
| ~ spl33_1 ),
inference(subsumption_resolution,[],[f5540,f5463]) ).
fof(f5463,plain,
( sP12(sK17)
| ~ spl33_1 ),
inference(global_subsumption,[],[f218,f221,f224,f227,f226,f230,f229,f236,f235,f232,f231,f242,f256,f275,f276,f277,f285,f295,f296,f297,f240,f241,f243,f244,f188,f269,f193,f246,f248,f252,f258,f259,f197,f245,f247,f268,f298,f326,f196,f198,f249,f260,f261,f262,f263,f264,f267,f327,f334,f332,f328,f337,f329,f338,f330,f331,f347,f257,f265,f266,f270,f273,f351,f354,f355,f278,f356,f359,f360,f279,f363,f366,f367,f349,f371,f372,f374,f375,f350,f378,f379,f381,f382,f339,f385,f386,f388,f343,f392,f393,f395,f200,f201,f399,f400,f401,f402,f403,f404,f405,f406,f407,f251,f253,f410,f411,f333,f413,f414,f416,f417,f418,f336,f421,f422,f424,f425,f426,f346,f429,f430,f432,f433,f434,f387,f438,f439,f441,f442,f443,f394,f447,f448,f450,f451,f452,f271,f457,f458,f459,f463,f283,f460,f466,f467,f468,f469,f204,f548,f549,f550,f551,f552,f553,f554,f555,f556,f557,f558,f559,f560,f561,f340,f344,f373,f565,f566,f567,f568,f569,f570,f571,f380,f575,f576,f577,f578,f579,f580,f581,f562,f563,f440,f586,f587,f589,f590,f591,f592,f449,f597,f598,f600,f601,f602,f603,f352,f607,f610,f238,f611,f612,f608,f618,f613,f609,f628,f623,f614,f642,f195,f617,f624,f658,f627,f353,f673,f676,f674,f682,f677,f203,f675,f692,f687,f678,f706,f681,f688,f722,f691,f254,f733,f357,f739,f740,f741,f742,f743,f744,f745,f738,f747,f748,f750,f751,f752,f753,f749,f756,f757,f759,f760,f761,f762,f358,f766,f767,f768,f769,f770,f771,f772,f765,f774,f775,f777,f778,f779,f780,f776,f783,f784,f786,f787,f788,f789,f364,f793,f794,f795,f796,f797,f798,f799,f272,f792,f811,f812,f814,f815,f816,f817,f813,f820,f821,f823,f824,f825,f826,f365,f830,f831,f832,f833,f834,f835,f836,f829,f838,f839,f841,f842,f843,f844,f840,f847,f848,f850,f851,f852,f853,f461,f857,f860,f861,f462,f866,f869,f389,f396,f415,f875,f876,f877,f878,f879,f880,f881,f423,f885,f886,f887,f888,f889,f890,f891,f431,f898,f899,f900,f901,f902,f903,f904,f872,f873,f638,f915,f918,f919,f641,f924,f927,f647,f930,f650,f207,f931,f932,f933,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f954,f955,f956,f957,f958,f959,f960,f961,f962,f963,f654,f965,f968,f969,f657,f974,f977,f663,f980,f666,f702,f982,f985,f986,f705,f991,f994,f711,f997,f714,f718,f999,f1002,f1003,f721,f1008,f1011,f727,f1014,f213,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f730,f588,f1049,f1050,f1051,f1052,f1053,f1054,f1055,f1056,f1057,f599,f1063,f1064,f1065,f1066,f1067,f1068,f1069,f1070,f1071,f758,f1077,f1078,f1079,f1080,f1081,f1082,f1083,f1084,f1085,f785,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1097,f1098,f822,f1103,f1104,f1105,f1106,f1107,f1108,f1109,f1110,f1111,f849,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f274,f1162,f1172,f1173,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1195,f1196,f1198,f1199,f1201,f1202,f1204,f1205,f1169,f1404,f1405,f1170,f280,f1414,f1415,f1416,f1417,f1418,f1423,f1424,f1425,f1426,f1427,f1410,f1411,f281,f1471,f1472,f1473,f1474,f1475,f1480,f1481,f1482,f1483,f1484,f1174,f1518,f1521,f1519,f1520,f1175,f1524,f1527,f1525,f1526,f282,f1531,f1532,f1533,f1534,f1535,f1540,f1541,f1542,f1543,f1544,f284,f1590,f1592,f1530,f1598,f1599,f1600,f1601,f1602,f1607,f1608,f1609,f1610,f1611,f1167,f1614,f1617,f1615,f1616,f1168,f1620,f1623,f1621,f1622,f1171,f1626,f1629,f1627,f1628,f289,f1630,f1631,f291,f1403,f2181,f205,f2182,f1406,f1409,f2183,f1412,f1185,f2184,f2187,f1186,f2190,f2193,f1194,f2196,f2199,f1197,f2202,f2205,f1200,f2208,f2211,f1203,f2214,f2217,f206,f210,f2331,f2332,f2333,f2334,f2335,f2336,f2337,f2338,f2339,f2340,f2341,f2342,f2343,f2344,f2345,f2346,f2347,f2348,f2349,f2350,f2351,f2352,f2353,f2354,f2355,f2356,f2357,f2358,f2359,f2360,f2361,f2362,f2363,f2364,f2365,f2366,f2367,f2368,f2369,f2370,f2371,f2372,f2375,f216,f2455,f2456,f2457,f2458,f2459,f2460,f2461,f2462,f2463,f2464,f2465,f2466,f2467,f2468,f2469,f2470,f2471,f2472,f2473,f2474,f2475,f2476,f2477,f2478,f2479,f2480,f2481,f2482,f2483,f2484,f2485,f2486,f2487,f2488,f2489,f2490,f2491,f2492,f2493,f2494,f2495,f2496,f2499,f222,f2518,f2519,f2520,f2521,f2522,f2523,f2524,f2525,f2526,f2527,f2528,f2529,f2530,f2531,f2532,f2533,f2534,f2535,f2536,f2537,f2538,f2539,f2540,f2541,f2542,f2543,f2544,f2545,f2546,f2547,f2548,f2549,f2550,f2551,f2552,f2553,f2554,f2555,f2556,f2557,f2558,f2559,f2562,f255,f286,f2622,f1010,f993,f976,f926,f202,f868,f729,f713,f665,f649,f194,f302,f2783,f2784,f2786,f2787,f2788,f2789,f2790,f2791,f2792,f2793,f2794,f2795,f239,f2801,f2800,f2804,f2806,f2819,f2785,f2825,f2826,f2827,f2828,f2829,f2830,f2831,f2832,f2833,f2834,f2835,f2836,f2837,f2838,f2839,f2840,f2841,f2842,f2843,f2844,f2845,f2846,f2847,f2848,f2849,f2824,f2850,f2851,f2852,f2853,f2854,f2821,f191,f287,f3269,f294,f3300,f3299,f3303,f3305,f3307,f3309,f208,f3332,f214,f219,f3397,f3398,f3399,f3400,f3401,f3402,f3403,f3404,f3405,f3406,f3407,f3408,f3409,f3410,f3411,f3412,f3413,f3414,f3415,f3416,f3417,f3418,f3419,f3420,f3421,f3422,f3423,f3424,f3425,f3426,f3427,f3428,f3429,f3430,f3431,f3432,f3433,f3434,f3435,f3436,f3437,f3438,f3441,f225,f3474,f3475,f3476,f3477,f3478,f3479,f3480,f3481,f3482,f3483,f3484,f3485,f3486,f3487,f3488,f3489,f3490,f3491,f3492,f3493,f3494,f3495,f3496,f3497,f3498,f3499,f3500,f3501,f3502,f3503,f3504,f3505,f3506,f3507,f3508,f3509,f3510,f3511,f3512,f3513,f3514,f3515,f3518,f233,f234,f288,f3757,f3758,f3759,f3760,f3764,f3765,f3769,f3770,f3771,f3772,f3773,f3774,f3775,f3776,f3777,f3778,f290,f3826,f3827,f3828,f3829,f3833,f3834,f3838,f3839,f3840,f3841,f3842,f3843,f3844,f3845,f3846,f3847,f299,f209,f211,f4079,f215,f217,f4237,f223,f212,f4391,f228,f4438,f4439,f4440,f4441,f4442,f4443,f4444,f4445,f4446,f4447,f4448,f4449,f4450,f4451,f4452,f4453,f4454,f4455,f4456,f4457,f4458,f4459,f4460,f4461,f4462,f4463,f4464,f4465,f4466,f4467,f4468,f4469,f4470,f4471,f4472,f4473,f4474,f4475,f4476,f4477,f4478,f4479,f4480,f4481,f4484,f292,f4554,f4555,f4556,f4557,f4561,f4562,f4568,f4569,f4570,f4571,f4572,f4573,f4574,f4575,f4576,f4577,f4578,f293,f4737,f4738,f4739,f4740,f4744,f4745,f4751,f4752,f4753,f4754,f4755,f4756,f4757,f4758,f4759,f4760,f4761,f220,f2803,f2802,f2818,f2817,f2812,f2811,f5426,f3538,f1009,f3472,f992,f3469,f975,f3466,f925,f2816,f2815,f2810,f2809,f3335,f867,f2805,f3074,f3066,f728,f3063,f712,f3060,f664,f3056,f648,f2814,f2813,f2808,f2807,f199,f2891,f189,f5460,f237,f5461,f190,f5462,f192]) ).
fof(f192,plain,
( sP12(sK17)
| ~ sP13 ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
( ( sP12(sK17)
& sziznziztdt0(xs) = sK17
& ! [X1] :
( sdtlbdtrb0(xs,X1) = sdtlbdtrb0(sK17,X1)
| ~ aNaturalNumber0(X1) )
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sK17))
& aVector0(sK17) )
| ~ sP13 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f125,f126]) ).
fof(f126,plain,
( ? [X0] :
( sP12(X0)
& sziznziztdt0(xs) = X0
& ! [X1] :
( sdtlbdtrb0(X0,X1) = sdtlbdtrb0(xs,X1)
| ~ aNaturalNumber0(X1) )
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(X0))
& aVector0(X0) )
=> ( sP12(sK17)
& sziznziztdt0(xs) = sK17
& ! [X1] :
( sdtlbdtrb0(xs,X1) = sdtlbdtrb0(sK17,X1)
| ~ aNaturalNumber0(X1) )
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sK17))
& aVector0(sK17) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
( ? [X0] :
( sP12(X0)
& sziznziztdt0(xs) = X0
& ! [X1] :
( sdtlbdtrb0(X0,X1) = sdtlbdtrb0(xs,X1)
| ~ aNaturalNumber0(X1) )
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(X0))
& aVector0(X0) )
| ~ sP13 ),
inference(rectify,[],[f124]) ).
fof(f124,plain,
( ? [X0] :
( sP12(X0)
& sziznziztdt0(xs) = X0
& ! [X15] :
( sdtlbdtrb0(X0,X15) = sdtlbdtrb0(xs,X15)
| ~ aNaturalNumber0(X15) )
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(X0))
& aVector0(X0) )
| ~ sP13 ),
inference(nnf_transformation,[],[f117]) ).
fof(f117,plain,
( ? [X0] :
( sP12(X0)
& sziznziztdt0(xs) = X0
& ! [X15] :
( sdtlbdtrb0(X0,X15) = sdtlbdtrb0(xs,X15)
| ~ aNaturalNumber0(X15) )
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(X0))
& aVector0(X0) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f5462,plain,
( ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtlbdtrb0(xs,X1) = sdtlbdtrb0(sK17,X1) )
| ~ spl33_1 ),
inference(global_subsumption,[],[f218,f221,f224,f227,f226,f230,f229,f236,f235,f232,f231,f242,f256,f275,f276,f277,f285,f295,f296,f297,f240,f241,f243,f244,f188,f269,f193,f246,f248,f252,f258,f259,f197,f245,f247,f268,f298,f326,f196,f198,f249,f260,f261,f262,f263,f264,f267,f327,f334,f332,f328,f337,f329,f338,f330,f331,f347,f257,f265,f266,f270,f273,f351,f354,f355,f278,f356,f359,f360,f279,f363,f366,f367,f349,f371,f372,f374,f375,f350,f378,f379,f381,f382,f339,f385,f386,f388,f343,f392,f393,f395,f200,f201,f399,f400,f401,f402,f403,f404,f405,f406,f407,f251,f253,f410,f411,f333,f413,f414,f416,f417,f418,f336,f421,f422,f424,f425,f426,f346,f429,f430,f432,f433,f434,f387,f438,f439,f441,f442,f443,f394,f447,f448,f450,f451,f452,f271,f457,f458,f459,f463,f283,f460,f466,f467,f468,f469,f204,f548,f549,f550,f551,f552,f553,f554,f555,f556,f557,f558,f559,f560,f561,f340,f344,f373,f565,f566,f567,f568,f569,f570,f571,f380,f575,f576,f577,f578,f579,f580,f581,f562,f563,f440,f586,f587,f589,f590,f591,f592,f449,f597,f598,f600,f601,f602,f603,f352,f607,f610,f238,f611,f612,f608,f618,f613,f609,f628,f623,f614,f642,f195,f617,f624,f658,f627,f353,f673,f676,f674,f682,f677,f203,f675,f692,f687,f678,f706,f681,f688,f722,f691,f254,f733,f357,f739,f740,f741,f742,f743,f744,f745,f738,f747,f748,f750,f751,f752,f753,f749,f756,f757,f759,f760,f761,f762,f358,f766,f767,f768,f769,f770,f771,f772,f765,f774,f775,f777,f778,f779,f780,f776,f783,f784,f786,f787,f788,f789,f364,f793,f794,f795,f796,f797,f798,f799,f272,f792,f811,f812,f814,f815,f816,f817,f813,f820,f821,f823,f824,f825,f826,f365,f830,f831,f832,f833,f834,f835,f836,f829,f838,f839,f841,f842,f843,f844,f840,f847,f848,f850,f851,f852,f853,f461,f857,f860,f861,f462,f866,f869,f389,f396,f415,f875,f876,f877,f878,f879,f880,f881,f423,f885,f886,f887,f888,f889,f890,f891,f431,f898,f899,f900,f901,f902,f903,f904,f872,f873,f638,f915,f918,f919,f641,f924,f927,f647,f930,f650,f207,f931,f932,f933,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f954,f955,f956,f957,f958,f959,f960,f961,f962,f963,f654,f965,f968,f969,f657,f974,f977,f663,f980,f666,f702,f982,f985,f986,f705,f991,f994,f711,f997,f714,f718,f999,f1002,f1003,f721,f1008,f1011,f727,f1014,f213,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f730,f588,f1049,f1050,f1051,f1052,f1053,f1054,f1055,f1056,f1057,f599,f1063,f1064,f1065,f1066,f1067,f1068,f1069,f1070,f1071,f758,f1077,f1078,f1079,f1080,f1081,f1082,f1083,f1084,f1085,f785,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1097,f1098,f822,f1103,f1104,f1105,f1106,f1107,f1108,f1109,f1110,f1111,f849,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f274,f1162,f1172,f1173,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1195,f1196,f1198,f1199,f1201,f1202,f1204,f1205,f1169,f1404,f1405,f1170,f280,f1414,f1415,f1416,f1417,f1418,f1423,f1424,f1425,f1426,f1427,f1410,f1411,f281,f1471,f1472,f1473,f1474,f1475,f1480,f1481,f1482,f1483,f1484,f1174,f1518,f1521,f1519,f1520,f1175,f1524,f1527,f1525,f1526,f282,f1531,f1532,f1533,f1534,f1535,f1540,f1541,f1542,f1543,f1544,f284,f1590,f1592,f1530,f1598,f1599,f1600,f1601,f1602,f1607,f1608,f1609,f1610,f1611,f1167,f1614,f1617,f1615,f1616,f1168,f1620,f1623,f1621,f1622,f1171,f1626,f1629,f1627,f1628,f289,f1630,f1631,f291,f1403,f2181,f205,f2182,f1406,f1409,f2183,f1412,f1185,f2184,f2187,f1186,f2190,f2193,f1194,f2196,f2199,f1197,f2202,f2205,f1200,f2208,f2211,f1203,f2214,f2217,f206,f210,f2331,f2332,f2333,f2334,f2335,f2336,f2337,f2338,f2339,f2340,f2341,f2342,f2343,f2344,f2345,f2346,f2347,f2348,f2349,f2350,f2351,f2352,f2353,f2354,f2355,f2356,f2357,f2358,f2359,f2360,f2361,f2362,f2363,f2364,f2365,f2366,f2367,f2368,f2369,f2370,f2371,f2372,f2375,f216,f2455,f2456,f2457,f2458,f2459,f2460,f2461,f2462,f2463,f2464,f2465,f2466,f2467,f2468,f2469,f2470,f2471,f2472,f2473,f2474,f2475,f2476,f2477,f2478,f2479,f2480,f2481,f2482,f2483,f2484,f2485,f2486,f2487,f2488,f2489,f2490,f2491,f2492,f2493,f2494,f2495,f2496,f2499,f222,f2518,f2519,f2520,f2521,f2522,f2523,f2524,f2525,f2526,f2527,f2528,f2529,f2530,f2531,f2532,f2533,f2534,f2535,f2536,f2537,f2538,f2539,f2540,f2541,f2542,f2543,f2544,f2545,f2546,f2547,f2548,f2549,f2550,f2551,f2552,f2553,f2554,f2555,f2556,f2557,f2558,f2559,f2562,f255,f286,f2622,f1010,f993,f976,f926,f202,f868,f729,f713,f665,f649,f194,f302,f2783,f2784,f2786,f2787,f2788,f2789,f2790,f2791,f2792,f2793,f2794,f2795,f239,f2801,f2800,f2804,f2806,f2819,f2785,f2825,f2826,f2827,f2828,f2829,f2830,f2831,f2832,f2833,f2834,f2835,f2836,f2837,f2838,f2839,f2840,f2841,f2842,f2843,f2844,f2845,f2846,f2847,f2848,f2849,f2824,f2850,f2851,f2852,f2853,f2854,f2821,f191,f192,f287,f3269,f294,f3300,f3299,f3303,f3305,f3307,f3309,f208,f3332,f214,f219,f3397,f3398,f3399,f3400,f3401,f3402,f3403,f3404,f3405,f3406,f3407,f3408,f3409,f3410,f3411,f3412,f3413,f3414,f3415,f3416,f3417,f3418,f3419,f3420,f3421,f3422,f3423,f3424,f3425,f3426,f3427,f3428,f3429,f3430,f3431,f3432,f3433,f3434,f3435,f3436,f3437,f3438,f3441,f225,f3474,f3475,f3476,f3477,f3478,f3479,f3480,f3481,f3482,f3483,f3484,f3485,f3486,f3487,f3488,f3489,f3490,f3491,f3492,f3493,f3494,f3495,f3496,f3497,f3498,f3499,f3500,f3501,f3502,f3503,f3504,f3505,f3506,f3507,f3508,f3509,f3510,f3511,f3512,f3513,f3514,f3515,f3518,f233,f234,f288,f3757,f3758,f3759,f3760,f3764,f3765,f3769,f3770,f3771,f3772,f3773,f3774,f3775,f3776,f3777,f3778,f290,f3826,f3827,f3828,f3829,f3833,f3834,f3838,f3839,f3840,f3841,f3842,f3843,f3844,f3845,f3846,f3847,f299,f209,f211,f4079,f215,f217,f4237,f223,f212,f4391,f228,f4438,f4439,f4440,f4441,f4442,f4443,f4444,f4445,f4446,f4447,f4448,f4449,f4450,f4451,f4452,f4453,f4454,f4455,f4456,f4457,f4458,f4459,f4460,f4461,f4462,f4463,f4464,f4465,f4466,f4467,f4468,f4469,f4470,f4471,f4472,f4473,f4474,f4475,f4476,f4477,f4478,f4479,f4480,f4481,f4484,f292,f4554,f4555,f4556,f4557,f4561,f4562,f4568,f4569,f4570,f4571,f4572,f4573,f4574,f4575,f4576,f4577,f4578,f293,f4737,f4738,f4739,f4740,f4744,f4745,f4751,f4752,f4753,f4754,f4755,f4756,f4757,f4758,f4759,f4760,f4761,f220,f2803,f2802,f2818,f2817,f2812,f2811,f5426,f3538,f1009,f3472,f992,f3469,f975,f3466,f925,f2816,f2815,f2810,f2809,f3335,f867,f2805,f3074,f3066,f728,f3063,f712,f3060,f664,f3056,f648,f2814,f2813,f2808,f2807,f199,f2891,f189,f5460,f237,f5461,f190]) ).
fof(f190,plain,
! [X1] :
( sdtlbdtrb0(xs,X1) = sdtlbdtrb0(sK17,X1)
| ~ aNaturalNumber0(X1)
| ~ sP13 ),
inference(cnf_transformation,[],[f127]) ).
fof(f5461,plain,
( sP13
| ~ spl33_1 ),
inference(global_subsumption,[],[f218,f221,f224,f227,f226,f230,f229,f236,f235,f232,f231,f242,f256,f275,f276,f277,f285,f295,f296,f297,f240,f241,f243,f244,f188,f269,f193,f246,f248,f252,f258,f259,f197,f245,f247,f268,f298,f326,f196,f198,f249,f260,f261,f262,f263,f264,f267,f327,f334,f332,f328,f337,f329,f338,f330,f331,f347,f257,f265,f266,f270,f273,f351,f354,f355,f278,f356,f359,f360,f279,f363,f366,f367,f349,f371,f372,f374,f375,f350,f378,f379,f381,f382,f339,f385,f386,f388,f343,f392,f393,f395,f200,f201,f399,f400,f401,f402,f403,f404,f405,f406,f407,f251,f253,f410,f411,f333,f413,f414,f416,f417,f418,f336,f421,f422,f424,f425,f426,f346,f429,f430,f432,f433,f434,f387,f438,f439,f441,f442,f443,f394,f447,f448,f450,f451,f452,f271,f457,f458,f459,f463,f283,f460,f466,f467,f468,f469,f204,f548,f549,f550,f551,f552,f553,f554,f555,f556,f557,f558,f559,f560,f561,f340,f344,f373,f565,f566,f567,f568,f569,f570,f571,f380,f575,f576,f577,f578,f579,f580,f581,f562,f563,f440,f586,f587,f589,f590,f591,f592,f449,f597,f598,f600,f601,f602,f603,f352,f607,f610,f238,f611,f612,f608,f618,f613,f609,f628,f623,f614,f642,f195,f617,f624,f658,f627,f353,f673,f676,f674,f682,f677,f203,f675,f692,f687,f678,f706,f681,f688,f722,f691,f254,f733,f357,f739,f740,f741,f742,f743,f744,f745,f738,f747,f748,f750,f751,f752,f753,f749,f756,f757,f759,f760,f761,f762,f358,f766,f767,f768,f769,f770,f771,f772,f765,f774,f775,f777,f778,f779,f780,f776,f783,f784,f786,f787,f788,f789,f364,f793,f794,f795,f796,f797,f798,f799,f272,f792,f811,f812,f814,f815,f816,f817,f813,f820,f821,f823,f824,f825,f826,f365,f830,f831,f832,f833,f834,f835,f836,f829,f838,f839,f841,f842,f843,f844,f840,f847,f848,f850,f851,f852,f853,f461,f857,f860,f861,f462,f866,f869,f389,f396,f415,f875,f876,f877,f878,f879,f880,f881,f423,f885,f886,f887,f888,f889,f890,f891,f431,f898,f899,f900,f901,f902,f903,f904,f872,f873,f638,f915,f918,f919,f641,f924,f927,f647,f930,f650,f207,f931,f932,f933,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f954,f955,f956,f957,f958,f959,f960,f961,f962,f963,f654,f965,f968,f969,f657,f974,f977,f663,f980,f666,f702,f982,f985,f986,f705,f991,f994,f711,f997,f714,f718,f999,f1002,f1003,f721,f1008,f1011,f727,f1014,f213,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f730,f588,f1049,f1050,f1051,f1052,f1053,f1054,f1055,f1056,f1057,f599,f1063,f1064,f1065,f1066,f1067,f1068,f1069,f1070,f1071,f758,f1077,f1078,f1079,f1080,f1081,f1082,f1083,f1084,f1085,f785,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1097,f1098,f822,f1103,f1104,f1105,f1106,f1107,f1108,f1109,f1110,f1111,f849,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f274,f1162,f1172,f1173,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1195,f1196,f1198,f1199,f1201,f1202,f1204,f1205,f1169,f1404,f1405,f1170,f280,f1414,f1415,f1416,f1417,f1418,f1423,f1424,f1425,f1426,f1427,f1410,f1411,f281,f1471,f1472,f1473,f1474,f1475,f1480,f1481,f1482,f1483,f1484,f1174,f1518,f1521,f1519,f1520,f1175,f1524,f1527,f1525,f1526,f282,f1531,f1532,f1533,f1534,f1535,f1540,f1541,f1542,f1543,f1544,f284,f1590,f1592,f1530,f1598,f1599,f1600,f1601,f1602,f1607,f1608,f1609,f1610,f1611,f1167,f1614,f1617,f1615,f1616,f1168,f1620,f1623,f1621,f1622,f1171,f1626,f1629,f1627,f1628,f289,f1630,f1631,f291,f1403,f2181,f205,f2182,f1406,f1409,f2183,f1412,f1185,f2184,f2187,f1186,f2190,f2193,f1194,f2196,f2199,f1197,f2202,f2205,f1200,f2208,f2211,f1203,f2214,f2217,f206,f210,f2331,f2332,f2333,f2334,f2335,f2336,f2337,f2338,f2339,f2340,f2341,f2342,f2343,f2344,f2345,f2346,f2347,f2348,f2349,f2350,f2351,f2352,f2353,f2354,f2355,f2356,f2357,f2358,f2359,f2360,f2361,f2362,f2363,f2364,f2365,f2366,f2367,f2368,f2369,f2370,f2371,f2372,f2375,f216,f2455,f2456,f2457,f2458,f2459,f2460,f2461,f2462,f2463,f2464,f2465,f2466,f2467,f2468,f2469,f2470,f2471,f2472,f2473,f2474,f2475,f2476,f2477,f2478,f2479,f2480,f2481,f2482,f2483,f2484,f2485,f2486,f2487,f2488,f2489,f2490,f2491,f2492,f2493,f2494,f2495,f2496,f2499,f222,f2518,f2519,f2520,f2521,f2522,f2523,f2524,f2525,f2526,f2527,f2528,f2529,f2530,f2531,f2532,f2533,f2534,f2535,f2536,f2537,f2538,f2539,f2540,f2541,f2542,f2543,f2544,f2545,f2546,f2547,f2548,f2549,f2550,f2551,f2552,f2553,f2554,f2555,f2556,f2557,f2558,f2559,f2562,f255,f286,f2622,f1010,f993,f976,f926,f202,f868,f729,f713,f665,f649,f190,f194,f302,f2783,f2784,f2786,f2787,f2788,f2789,f2790,f2791,f2792,f2793,f2794,f2795,f239,f2801,f2800,f2804,f2806,f2819,f2785,f2825,f2826,f2827,f2828,f2829,f2830,f2831,f2832,f2833,f2834,f2835,f2836,f2837,f2838,f2839,f2840,f2841,f2842,f2843,f2844,f2845,f2846,f2847,f2848,f2849,f2824,f2850,f2851,f2852,f2853,f2854,f2821,f191,f192,f287,f3269,f294,f3300,f3299,f3303,f3305,f3307,f3309,f208,f3332,f214,f219,f3397,f3398,f3399,f3400,f3401,f3402,f3403,f3404,f3405,f3406,f3407,f3408,f3409,f3410,f3411,f3412,f3413,f3414,f3415,f3416,f3417,f3418,f3419,f3420,f3421,f3422,f3423,f3424,f3425,f3426,f3427,f3428,f3429,f3430,f3431,f3432,f3433,f3434,f3435,f3436,f3437,f3438,f3441,f225,f3474,f3475,f3476,f3477,f3478,f3479,f3480,f3481,f3482,f3483,f3484,f3485,f3486,f3487,f3488,f3489,f3490,f3491,f3492,f3493,f3494,f3495,f3496,f3497,f3498,f3499,f3500,f3501,f3502,f3503,f3504,f3505,f3506,f3507,f3508,f3509,f3510,f3511,f3512,f3513,f3514,f3515,f3518,f233,f234,f288,f3757,f3758,f3759,f3760,f3764,f3765,f3769,f3770,f3771,f3772,f3773,f3774,f3775,f3776,f3777,f3778,f290,f3826,f3827,f3828,f3829,f3833,f3834,f3838,f3839,f3840,f3841,f3842,f3843,f3844,f3845,f3846,f3847,f299,f209,f211,f4079,f215,f217,f4237,f223,f212,f4391,f228,f4438,f4439,f4440,f4441,f4442,f4443,f4444,f4445,f4446,f4447,f4448,f4449,f4450,f4451,f4452,f4453,f4454,f4455,f4456,f4457,f4458,f4459,f4460,f4461,f4462,f4463,f4464,f4465,f4466,f4467,f4468,f4469,f4470,f4471,f4472,f4473,f4474,f4475,f4476,f4477,f4478,f4479,f4480,f4481,f4484,f292,f4554,f4555,f4556,f4557,f4561,f4562,f4568,f4569,f4570,f4571,f4572,f4573,f4574,f4575,f4576,f4577,f4578,f293,f4737,f4738,f4739,f4740,f4744,f4745,f4751,f4752,f4753,f4754,f4755,f4756,f4757,f4758,f4759,f4760,f4761,f220,f2803,f2802,f2818,f2817,f2812,f2811,f5426,f3538,f1009,f3472,f992,f3469,f975,f3466,f925,f2816,f2815,f2810,f2809,f3335,f867,f2805,f3074,f3066,f728,f3063,f712,f3060,f664,f3056,f648,f2814,f2813,f2808,f2807,f199,f2891,f189,f5460,f237]) ).
fof(f237,plain,
( sP13
| sz00 = aDimensionOf0(xs) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& ( sP13
| sz00 = aDimensionOf0(xs) ) ),
inference(definition_folding,[],[f49,f117,f116,f115,f114,f113,f112,f111,f110,f109,f108,f107,f106,f105,f104]) ).
fof(f104,plain,
! [X8,X5,X7,X4,X9,X6,X12,X10,X11] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12))
& sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
& sdtasdt0(X10,X12) = X13
& aScalar0(X13) )
| ~ sP0(X8,X5,X7,X4,X9,X6,X12,X10,X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f105,plain,
! [X11,X10,X6,X9,X4,X7,X5,X8] :
( ? [X12] :
( sP0(X8,X5,X7,X4,X9,X6,X12,X10,X11)
& sdtasdt0(X7,X5) = X12
& aScalar0(X12) )
| ~ sP1(X11,X10,X6,X9,X4,X7,X5,X8) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f106,plain,
! [X8,X5,X7,X4,X9,X6,X10] :
( ? [X11] :
( sP1(X11,X10,X6,X9,X4,X7,X5,X8)
& sdtasdt0(X6,X9) = X11
& aScalar0(X11) )
| ~ sP2(X8,X5,X7,X4,X9,X6,X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f107,plain,
! [X6,X9,X4,X7,X5,X8] :
( ? [X10] :
( sP2(X8,X5,X7,X4,X9,X6,X10)
& sdtasdt0(X4,X8) = X10
& aScalar0(X10) )
| ~ sP3(X6,X9,X4,X7,X5,X8) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f108,plain,
! [X8,X5,X7,X4,X6,X3,X2] :
( ? [X9] :
( sP3(X6,X9,X4,X7,X5,X8)
& sdtasdt0(X2,X3) = X9
& aScalar0(X9) )
| ~ sP4(X8,X5,X7,X4,X6,X3,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f109,plain,
! [X2,X3,X6,X4,X7,X5] :
( ? [X8] :
( sP4(X8,X5,X7,X4,X6,X3,X2)
& sdtasdt0(X3,X3) = X8
& aScalar0(X8) )
| ~ sP5(X2,X3,X6,X4,X7,X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f110,plain,
! [X5,X4,X6,X3,X2] :
( ? [X7] :
( sP5(X2,X3,X6,X4,X7,X5)
& sdtasdt0(X2,X2) = X7
& aScalar0(X7) )
| ~ sP6(X5,X4,X6,X3,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f111,plain,
! [X2,X3,X4,X5,X1,X0] :
( ? [X6] :
( sP6(X5,X4,X6,X3,X2)
& sdtasasdt0(X0,X1) = X6
& aScalar0(X6) )
| ~ sP7(X2,X3,X4,X5,X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f112,plain,
! [X0,X1,X4,X3,X2] :
( ? [X5] :
( sP7(X2,X3,X4,X5,X1,X0)
& sdtasasdt0(X1,X1) = X5
& aScalar0(X5) )
| ~ sP8(X0,X1,X4,X3,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f113,plain,
! [X2,X3,X1,X0] :
( ? [X4] :
( sP8(X0,X1,X4,X3,X2)
& sdtasasdt0(X0,X0) = X4
& aScalar0(X4) )
| ~ sP9(X2,X3,X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f114,plain,
! [X0,X1,X2] :
( ? [X3] :
( sP9(X2,X3,X1,X0)
& sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
& aScalar0(X3) )
| ~ sP10(X0,X1,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f115,plain,
! [X1,X0] :
( ? [X2] :
( sP10(X0,X1,X2)
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2
& aScalar0(X2) )
| ~ sP11(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f116,plain,
! [X0] :
( ? [X1] :
( sP11(X1,X0)
& sziznziztdt0(xt) = X1
& ! [X14] :
( sdtlbdtrb0(X1,X14) = sdtlbdtrb0(xt,X14)
| ~ aNaturalNumber0(X14) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt)
& aVector0(X1) )
| ~ sP12(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f49,plain,
( ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& ( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12))
& sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
& sdtasdt0(X10,X12) = X13
& aScalar0(X13) )
& sdtasdt0(X7,X5) = X12
& aScalar0(X12) )
& sdtasdt0(X6,X9) = X11
& aScalar0(X11) )
& sdtasdt0(X4,X8) = X10
& aScalar0(X10) )
& sdtasdt0(X2,X3) = X9
& aScalar0(X9) )
& sdtasdt0(X3,X3) = X8
& aScalar0(X8) )
& sdtasdt0(X2,X2) = X7
& aScalar0(X7) )
& sdtasasdt0(X0,X1) = X6
& aScalar0(X6) )
& sdtasasdt0(X1,X1) = X5
& aScalar0(X5) )
& sdtasasdt0(X0,X0) = X4
& aScalar0(X4) )
& sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
& aScalar0(X3) )
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2
& aScalar0(X2) )
& sziznziztdt0(xt) = X1
& ! [X14] :
( sdtlbdtrb0(X1,X14) = sdtlbdtrb0(xt,X14)
| ~ aNaturalNumber0(X14) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt)
& aVector0(X1) )
& sziznziztdt0(xs) = X0
& ! [X15] :
( sdtlbdtrb0(X0,X15) = sdtlbdtrb0(xs,X15)
| ~ aNaturalNumber0(X15) )
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(X0))
& aVector0(X0) )
| sz00 = aDimensionOf0(xs) ) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
~ ( ( sz00 != aDimensionOf0(xs)
=> ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12))
& sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
& sdtasdt0(X10,X12) = X13
& aScalar0(X13) )
& sdtasdt0(X7,X5) = X12
& aScalar0(X12) )
& sdtasdt0(X6,X9) = X11
& aScalar0(X11) )
& sdtasdt0(X4,X8) = X10
& aScalar0(X10) )
& sdtasdt0(X2,X3) = X9
& aScalar0(X9) )
& sdtasdt0(X3,X3) = X8
& aScalar0(X8) )
& sdtasdt0(X2,X2) = X7
& aScalar0(X7) )
& sdtasasdt0(X0,X1) = X6
& aScalar0(X6) )
& sdtasasdt0(X1,X1) = X5
& aScalar0(X5) )
& sdtasasdt0(X0,X0) = X4
& aScalar0(X4) )
& sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
& aScalar0(X3) )
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2
& aScalar0(X2) )
& sziznziztdt0(xt) = X1
& ! [X14] :
( aNaturalNumber0(X14)
=> sdtlbdtrb0(X1,X14) = sdtlbdtrb0(xt,X14) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt)
& aVector0(X1) )
& sziznziztdt0(xs) = X0
& ! [X15] :
( aNaturalNumber0(X15)
=> sdtlbdtrb0(X0,X15) = sdtlbdtrb0(xs,X15) )
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(X0))
& aVector0(X0) ) )
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
inference(rectify,[],[f42]) ).
fof(f42,negated_conjecture,
~ ( ( sz00 != aDimensionOf0(xs)
=> ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12))
& sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
& sdtasdt0(X10,X12) = X13
& aScalar0(X13) )
& sdtasdt0(X7,X5) = X12
& aScalar0(X12) )
& sdtasdt0(X6,X9) = X11
& aScalar0(X11) )
& sdtasdt0(X4,X8) = X10
& aScalar0(X10) )
& sdtasdt0(X2,X3) = X9
& aScalar0(X9) )
& sdtasdt0(X3,X3) = X8
& aScalar0(X8) )
& sdtasdt0(X2,X2) = X7
& aScalar0(X7) )
& sdtasasdt0(X0,X1) = X6
& aScalar0(X6) )
& sdtasasdt0(X1,X1) = X5
& aScalar0(X5) )
& sdtasasdt0(X0,X0) = X4
& aScalar0(X4) )
& sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
& aScalar0(X3) )
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2
& aScalar0(X2) )
& sziznziztdt0(xt) = X1
& ! [X2] :
( aNaturalNumber0(X2)
=> sdtlbdtrb0(X1,X2) = sdtlbdtrb0(xt,X2) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt)
& aVector0(X1) )
& sziznziztdt0(xs) = X0
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(X0,X1) = sdtlbdtrb0(xs,X1) )
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(X0))
& aVector0(X0) ) )
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
inference(negated_conjecture,[],[f41]) ).
fof(f41,conjecture,
( ( sz00 != aDimensionOf0(xs)
=> ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12))
& sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
& sdtasdt0(X10,X12) = X13
& aScalar0(X13) )
& sdtasdt0(X7,X5) = X12
& aScalar0(X12) )
& sdtasdt0(X6,X9) = X11
& aScalar0(X11) )
& sdtasdt0(X4,X8) = X10
& aScalar0(X10) )
& sdtasdt0(X2,X3) = X9
& aScalar0(X9) )
& sdtasdt0(X3,X3) = X8
& aScalar0(X8) )
& sdtasdt0(X2,X2) = X7
& aScalar0(X7) )
& sdtasasdt0(X0,X1) = X6
& aScalar0(X6) )
& sdtasasdt0(X1,X1) = X5
& aScalar0(X5) )
& sdtasasdt0(X0,X0) = X4
& aScalar0(X4) )
& sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
& aScalar0(X3) )
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2
& aScalar0(X2) )
& sziznziztdt0(xt) = X1
& ! [X2] :
( aNaturalNumber0(X2)
=> sdtlbdtrb0(X1,X2) = sdtlbdtrb0(xt,X2) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt)
& aVector0(X1) )
& sziznziztdt0(xs) = X0
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(X0,X1) = sdtlbdtrb0(xs,X1) )
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(X0))
& aVector0(X0) ) )
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f5460,plain,
( aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sK17))
| ~ spl33_1 ),
inference(global_subsumption,[],[f218,f221,f224,f227,f226,f230,f229,f236,f235,f232,f231,f242,f256,f275,f276,f277,f285,f295,f296,f297,f240,f241,f243,f244,f188,f269,f193,f246,f248,f252,f258,f259,f197,f245,f247,f268,f298,f326,f196,f198,f249,f260,f261,f262,f263,f264,f267,f327,f334,f332,f328,f337,f329,f338,f330,f331,f347,f257,f265,f266,f270,f273,f351,f354,f355,f278,f356,f359,f360,f279,f363,f366,f367,f349,f371,f372,f374,f375,f350,f378,f379,f381,f382,f339,f385,f386,f388,f343,f392,f393,f395,f200,f201,f399,f400,f401,f402,f403,f404,f405,f406,f407,f251,f253,f410,f411,f333,f413,f414,f416,f417,f418,f336,f421,f422,f424,f425,f426,f346,f429,f430,f432,f433,f434,f387,f438,f439,f441,f442,f443,f394,f447,f448,f450,f451,f452,f271,f457,f458,f459,f463,f283,f460,f466,f467,f468,f469,f204,f548,f549,f550,f551,f552,f553,f554,f555,f556,f557,f558,f559,f560,f561,f340,f344,f373,f565,f566,f567,f568,f569,f570,f571,f380,f575,f576,f577,f578,f579,f580,f581,f562,f563,f440,f586,f587,f589,f590,f591,f592,f449,f597,f598,f600,f601,f602,f603,f352,f607,f610,f238,f611,f612,f608,f618,f613,f609,f628,f623,f614,f642,f195,f617,f624,f658,f627,f353,f673,f676,f674,f682,f677,f203,f675,f692,f687,f678,f706,f681,f688,f722,f691,f254,f733,f357,f739,f740,f741,f742,f743,f744,f745,f738,f747,f748,f750,f751,f752,f753,f749,f756,f757,f759,f760,f761,f762,f358,f766,f767,f768,f769,f770,f771,f772,f765,f774,f775,f777,f778,f779,f780,f776,f783,f784,f786,f787,f788,f789,f364,f793,f794,f795,f796,f797,f798,f799,f272,f792,f811,f812,f814,f815,f816,f817,f813,f820,f821,f823,f824,f825,f826,f365,f830,f831,f832,f833,f834,f835,f836,f829,f838,f839,f841,f842,f843,f844,f840,f847,f848,f850,f851,f852,f853,f461,f857,f860,f861,f462,f866,f869,f389,f396,f415,f875,f876,f877,f878,f879,f880,f881,f423,f885,f886,f887,f888,f889,f890,f891,f431,f898,f899,f900,f901,f902,f903,f904,f872,f873,f638,f915,f918,f919,f641,f924,f927,f647,f930,f650,f207,f931,f932,f933,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f954,f955,f956,f957,f958,f959,f960,f961,f962,f963,f654,f965,f968,f969,f657,f974,f977,f663,f980,f666,f702,f982,f985,f986,f705,f991,f994,f711,f997,f714,f718,f999,f1002,f1003,f721,f1008,f1011,f727,f1014,f213,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f730,f588,f1049,f1050,f1051,f1052,f1053,f1054,f1055,f1056,f1057,f599,f1063,f1064,f1065,f1066,f1067,f1068,f1069,f1070,f1071,f758,f1077,f1078,f1079,f1080,f1081,f1082,f1083,f1084,f1085,f785,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1097,f1098,f822,f1103,f1104,f1105,f1106,f1107,f1108,f1109,f1110,f1111,f849,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f274,f1162,f1172,f1173,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1195,f1196,f1198,f1199,f1201,f1202,f1204,f1205,f1169,f1404,f1405,f1170,f280,f1414,f1415,f1416,f1417,f1418,f1423,f1424,f1425,f1426,f1427,f1410,f1411,f281,f1471,f1472,f1473,f1474,f1475,f1480,f1481,f1482,f1483,f1484,f1174,f1518,f1521,f1519,f1520,f1175,f1524,f1527,f1525,f1526,f282,f1531,f1532,f1533,f1534,f1535,f1540,f1541,f1542,f1543,f1544,f284,f1590,f1592,f1530,f1598,f1599,f1600,f1601,f1602,f1607,f1608,f1609,f1610,f1611,f1167,f1614,f1617,f1615,f1616,f1168,f1620,f1623,f1621,f1622,f1171,f1626,f1629,f1627,f1628,f289,f1630,f1631,f291,f1403,f2181,f205,f2182,f1406,f1409,f2183,f1412,f1185,f2184,f2187,f1186,f2190,f2193,f1194,f2196,f2199,f1197,f2202,f2205,f1200,f2208,f2211,f1203,f2214,f2217,f206,f210,f2331,f2332,f2333,f2334,f2335,f2336,f2337,f2338,f2339,f2340,f2341,f2342,f2343,f2344,f2345,f2346,f2347,f2348,f2349,f2350,f2351,f2352,f2353,f2354,f2355,f2356,f2357,f2358,f2359,f2360,f2361,f2362,f2363,f2364,f2365,f2366,f2367,f2368,f2369,f2370,f2371,f2372,f2375,f216,f2455,f2456,f2457,f2458,f2459,f2460,f2461,f2462,f2463,f2464,f2465,f2466,f2467,f2468,f2469,f2470,f2471,f2472,f2473,f2474,f2475,f2476,f2477,f2478,f2479,f2480,f2481,f2482,f2483,f2484,f2485,f2486,f2487,f2488,f2489,f2490,f2491,f2492,f2493,f2494,f2495,f2496,f2499,f222,f2518,f2519,f2520,f2521,f2522,f2523,f2524,f2525,f2526,f2527,f2528,f2529,f2530,f2531,f2532,f2533,f2534,f2535,f2536,f2537,f2538,f2539,f2540,f2541,f2542,f2543,f2544,f2545,f2546,f2547,f2548,f2549,f2550,f2551,f2552,f2553,f2554,f2555,f2556,f2557,f2558,f2559,f2562,f255,f286,f2622,f1010,f993,f976,f926,f202,f868,f729,f713,f665,f649,f190,f194,f237,f302,f2783,f2784,f2786,f2787,f2788,f2789,f2790,f2791,f2792,f2793,f2794,f2795,f239,f2801,f2800,f2804,f2806,f2819,f2785,f2825,f2826,f2827,f2828,f2829,f2830,f2831,f2832,f2833,f2834,f2835,f2836,f2837,f2838,f2839,f2840,f2841,f2842,f2843,f2844,f2845,f2846,f2847,f2848,f2849,f2824,f2850,f2851,f2852,f2853,f2854,f2821,f191,f192,f287,f3269,f294,f3300,f3299,f3303,f3305,f3307,f3309,f208,f3332,f214,f219,f3397,f3398,f3399,f3400,f3401,f3402,f3403,f3404,f3405,f3406,f3407,f3408,f3409,f3410,f3411,f3412,f3413,f3414,f3415,f3416,f3417,f3418,f3419,f3420,f3421,f3422,f3423,f3424,f3425,f3426,f3427,f3428,f3429,f3430,f3431,f3432,f3433,f3434,f3435,f3436,f3437,f3438,f3441,f225,f3474,f3475,f3476,f3477,f3478,f3479,f3480,f3481,f3482,f3483,f3484,f3485,f3486,f3487,f3488,f3489,f3490,f3491,f3492,f3493,f3494,f3495,f3496,f3497,f3498,f3499,f3500,f3501,f3502,f3503,f3504,f3505,f3506,f3507,f3508,f3509,f3510,f3511,f3512,f3513,f3514,f3515,f3518,f233,f234,f288,f3757,f3758,f3759,f3760,f3764,f3765,f3769,f3770,f3771,f3772,f3773,f3774,f3775,f3776,f3777,f3778,f290,f3826,f3827,f3828,f3829,f3833,f3834,f3838,f3839,f3840,f3841,f3842,f3843,f3844,f3845,f3846,f3847,f299,f209,f211,f4079,f215,f217,f4237,f223,f212,f4391,f228,f4438,f4439,f4440,f4441,f4442,f4443,f4444,f4445,f4446,f4447,f4448,f4449,f4450,f4451,f4452,f4453,f4454,f4455,f4456,f4457,f4458,f4459,f4460,f4461,f4462,f4463,f4464,f4465,f4466,f4467,f4468,f4469,f4470,f4471,f4472,f4473,f4474,f4475,f4476,f4477,f4478,f4479,f4480,f4481,f4484,f292,f4554,f4555,f4556,f4557,f4561,f4562,f4568,f4569,f4570,f4571,f4572,f4573,f4574,f4575,f4576,f4577,f4578,f293,f4737,f4738,f4739,f4740,f4744,f4745,f4751,f4752,f4753,f4754,f4755,f4756,f4757,f4758,f4759,f4760,f4761,f220,f2803,f2802,f2818,f2817,f2812,f2811,f5426,f3538,f1009,f3472,f992,f3469,f975,f3466,f925,f2816,f2815,f2810,f2809,f3335,f867,f2805,f3074,f3066,f728,f3063,f712,f3060,f664,f3056,f648,f2814,f2813,f2808,f2807,f199,f2891,f189]) ).
fof(f189,plain,
( aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sK17))
| ~ sP13 ),
inference(cnf_transformation,[],[f127]) ).
fof(f2891,plain,
! [X0] :
( ~ sP12(X0)
| aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sK18(X0))) ),
inference(forward_demodulation,[],[f194,f239]) ).
fof(f199,plain,
! [X0,X1] :
( ~ sP11(X0,X1)
| sdtlbdtrb0(xs,aDimensionOf0(xs)) = sK19(X0,X1) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1] :
( ( sP10(X1,X0,sK19(X0,X1))
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = sK19(X0,X1)
& aScalar0(sK19(X0,X1)) )
| ~ sP11(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f133,f134]) ).
fof(f134,plain,
! [X0,X1] :
( ? [X2] :
( sP10(X1,X0,X2)
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2
& aScalar0(X2) )
=> ( sP10(X1,X0,sK19(X0,X1))
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = sK19(X0,X1)
& aScalar0(sK19(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
! [X0,X1] :
( ? [X2] :
( sP10(X1,X0,X2)
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2
& aScalar0(X2) )
| ~ sP11(X0,X1) ),
inference(rectify,[],[f132]) ).
fof(f132,plain,
! [X1,X0] :
( ? [X2] :
( sP10(X0,X1,X2)
& sdtlbdtrb0(xs,aDimensionOf0(xs)) = X2
& aScalar0(X2) )
| ~ sP11(X1,X0) ),
inference(nnf_transformation,[],[f115]) ).
fof(f2807,plain,
sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xs,aDimensionOf0(xs))),
inference(resolution,[],[f2800,f608]) ).
fof(f2808,plain,
sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xt,aDimensionOf0(xs))),
inference(resolution,[],[f2800,f609]) ).
fof(f2813,plain,
sz0z00 = sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sz0z00),
inference(resolution,[],[f2800,f674]) ).
fof(f2814,plain,
sz0z00 = sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sz0z00),
inference(resolution,[],[f2800,f675]) ).
fof(f648,plain,
sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xs,aDimensionOf0(xs))),
inference(resolution,[],[f617,f240]) ).
fof(f3056,plain,
sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xs,aDimensionOf0(xs))),
inference(forward_demodulation,[],[f649,f239]) ).
fof(f664,plain,
sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xt,aDimensionOf0(xs))),
inference(resolution,[],[f627,f240]) ).
fof(f3060,plain,
sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xt,aDimensionOf0(xs))),
inference(forward_demodulation,[],[f665,f239]) ).
fof(f712,plain,
sz0z00 = sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sz0z00),
inference(resolution,[],[f681,f240]) ).
fof(f3063,plain,
sz0z00 = sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sz0z00),
inference(forward_demodulation,[],[f713,f239]) ).
fof(f728,plain,
sz0z00 = sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sz0z00),
inference(resolution,[],[f691,f240]) ).
fof(f3066,plain,
sz0z00 = sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sz0z00),
inference(forward_demodulation,[],[f729,f239]) ).
fof(f3074,plain,
! [X2,X0,X1] :
( ~ sP10(X0,X1,X2)
| sK20(X0,X1,X2) = sdtlbdtrb0(xt,aDimensionOf0(xs)) ),
inference(forward_demodulation,[],[f202,f239]) ).
fof(f2805,plain,
szszuzczcdt0(aDimensionOf0(xs)) = szszuzczcdt0(sK32(szszuzczcdt0(aDimensionOf0(xs)))),
inference(resolution,[],[f2800,f459]) ).
fof(f867,plain,
szszuzczcdt0(aDimensionOf0(xs)) = szszuzczcdt0(sK32(szszuzczcdt0(aDimensionOf0(xs)))),
inference(resolution,[],[f462,f240]) ).
fof(f3335,plain,
szszuzczcdt0(aDimensionOf0(xs)) = szszuzczcdt0(sK32(szszuzczcdt0(aDimensionOf0(xs)))),
inference(forward_demodulation,[],[f868,f239]) ).
fof(f2809,plain,
sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))),
inference(resolution,[],[f2800,f614]) ).
fof(f2810,plain,
sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))),
inference(resolution,[],[f2800,f624]) ).
fof(f2815,plain,
sz0z00 = sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))),sz0z00),
inference(resolution,[],[f2800,f678]) ).
fof(f2816,plain,
sz0z00 = sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))),sz0z00),
inference(resolution,[],[f2800,f688]) ).
fof(f925,plain,
sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))),
inference(resolution,[],[f641,f240]) ).
fof(f3466,plain,
sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs)))),
inference(forward_demodulation,[],[f926,f239]) ).
fof(f975,plain,
sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))),
inference(resolution,[],[f657,f240]) ).
fof(f3469,plain,
sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs)))),
inference(forward_demodulation,[],[f976,f239]) ).
fof(f992,plain,
sz0z00 = sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))),sz0z00),
inference(resolution,[],[f705,f240]) ).
fof(f3472,plain,
sz0z00 = sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xs))),sz0z00),
inference(forward_demodulation,[],[f993,f239]) ).
fof(f1009,plain,
sz0z00 = sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))),sz0z00),
inference(resolution,[],[f721,f240]) ).
fof(f3538,plain,
sz0z00 = sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xs))),sz0z00),
inference(forward_demodulation,[],[f1010,f239]) ).
fof(f5426,plain,
! [X0] :
( sz00 != aDimensionOf0(xs)
| sz0z00 = sdtasasdt0(X0,xt)
| sz00 != aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(subsumption_resolution,[],[f3860,f241]) ).
fof(f3860,plain,
! [X0] :
( sz00 != aDimensionOf0(xs)
| sz0z00 = sdtasasdt0(X0,xt)
| sz00 != aDimensionOf0(X0)
| ~ aVector0(xt)
| ~ aVector0(X0) ),
inference(superposition,[],[f299,f239]) ).
fof(f2811,plain,
sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xs,szszuzczcdt0(szszuzczcdt0(aDimensionOf0(xs))))),
inference(resolution,[],[f2800,f638]) ).
fof(f2812,plain,
sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xt,szszuzczcdt0(szszuzczcdt0(aDimensionOf0(xs))))),
inference(resolution,[],[f2800,f654]) ).
fof(f2817,plain,
sz0z00 = sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(szszuzczcdt0(aDimensionOf0(xs)))),sz0z00),
inference(resolution,[],[f2800,f702]) ).
fof(f2818,plain,
sz0z00 = sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(szszuzczcdt0(aDimensionOf0(xs)))),sz0z00),
inference(resolution,[],[f2800,f718]) ).
fof(f2802,plain,
! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xs)
| aScalar0(sdtasasdt0(xt,X0))
| ~ aVector0(X0) ),
inference(subsumption_resolution,[],[f2798,f241]) ).
fof(f2798,plain,
! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xs)
| aScalar0(sdtasasdt0(xt,X0))
| ~ aVector0(X0)
| ~ aVector0(xt) ),
inference(superposition,[],[f274,f239]) ).
fof(f2803,plain,
! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xs)
| aScalar0(sdtasasdt0(X0,xt))
| ~ aVector0(X0) ),
inference(subsumption_resolution,[],[f2799,f241]) ).
fof(f2799,plain,
! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xs)
| aScalar0(sdtasasdt0(X0,xt))
| ~ aVector0(xt)
| ~ aVector0(X0) ),
inference(superposition,[],[f274,f239]) ).
fof(f220,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| sdtasdt0(X6,X5) = sK26(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( sP3(X4,sK26(X0,X1,X2,X3,X4,X5,X6),X3,X2,X1,X0)
& sdtasdt0(X6,X5) = sK26(X0,X1,X2,X3,X4,X5,X6)
& aScalar0(sK26(X0,X1,X2,X3,X4,X5,X6)) )
| ~ sP4(X0,X1,X2,X3,X4,X5,X6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f160,f161]) ).
fof(f161,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ? [X7] :
( sP3(X4,X7,X3,X2,X1,X0)
& sdtasdt0(X6,X5) = X7
& aScalar0(X7) )
=> ( sP3(X4,sK26(X0,X1,X2,X3,X4,X5,X6),X3,X2,X1,X0)
& sdtasdt0(X6,X5) = sK26(X0,X1,X2,X3,X4,X5,X6)
& aScalar0(sK26(X0,X1,X2,X3,X4,X5,X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ? [X7] :
( sP3(X4,X7,X3,X2,X1,X0)
& sdtasdt0(X6,X5) = X7
& aScalar0(X7) )
| ~ sP4(X0,X1,X2,X3,X4,X5,X6) ),
inference(rectify,[],[f159]) ).
fof(f159,plain,
! [X8,X5,X7,X4,X6,X3,X2] :
( ? [X9] :
( sP3(X6,X9,X4,X7,X5,X8)
& sdtasdt0(X2,X3) = X9
& aScalar0(X9) )
| ~ sP4(X8,X5,X7,X4,X6,X3,X2) ),
inference(nnf_transformation,[],[f108]) ).
fof(f4761,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( sdtasdt0(sdtpldt0(X0,X1),sK29(X2,X3,X4,X5,X6,X7,X8,X9)) = sdtpldt0(sdtasdt0(X0,sK29(X2,X3,X4,X5,X6,X7,X8,X9)),sdtasdt0(X1,sK29(X2,X3,X4,X5,X6,X7,X8,X9)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP1(X2,X3,X4,X5,X6,X7,X8,X9) ),
inference(resolution,[],[f293,f228]) ).
fof(f4760,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( sdtasdt0(sdtpldt0(X0,X1),sK28(X2,X3,X4,X5,X6,X7,X8)) = sdtpldt0(sdtasdt0(X0,sK28(X2,X3,X4,X5,X6,X7,X8)),sdtasdt0(X1,sK28(X2,X3,X4,X5,X6,X7,X8)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP2(X2,X3,X4,X5,X6,X7,X8) ),
inference(resolution,[],[f293,f225]) ).
fof(f4759,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( sdtasdt0(sdtpldt0(X0,X1),sK27(X2,X3,X4,X5,X6,X7)) = sdtpldt0(sdtasdt0(X0,sK27(X2,X3,X4,X5,X6,X7)),sdtasdt0(X1,sK27(X2,X3,X4,X5,X6,X7)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP3(X2,X3,X4,X5,X6,X7) ),
inference(resolution,[],[f293,f222]) ).
fof(f4758,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( sdtasdt0(sdtpldt0(X0,X1),sK26(X2,X3,X4,X5,X6,X7,X8)) = sdtpldt0(sdtasdt0(X0,sK26(X2,X3,X4,X5,X6,X7,X8)),sdtasdt0(X1,sK26(X2,X3,X4,X5,X6,X7,X8)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP4(X2,X3,X4,X5,X6,X7,X8) ),
inference(resolution,[],[f293,f219]) ).
fof(f4757,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( sdtasdt0(sdtpldt0(X0,X1),sK25(X2,X3,X4,X5,X6,X7)) = sdtpldt0(sdtasdt0(X0,sK25(X2,X3,X4,X5,X6,X7)),sdtasdt0(X1,sK25(X2,X3,X4,X5,X6,X7)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP5(X2,X3,X4,X5,X6,X7) ),
inference(resolution,[],[f293,f216]) ).
fof(f4756,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( sdtasdt0(sdtpldt0(X0,X1),sK24(X2,X3,X4,X5,X6)) = sdtpldt0(sdtasdt0(X0,sK24(X2,X3,X4,X5,X6)),sdtasdt0(X1,sK24(X2,X3,X4,X5,X6)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP6(X2,X3,X4,X5,X6) ),
inference(resolution,[],[f293,f213]) ).
fof(f4755,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( sdtasdt0(sdtpldt0(X0,X1),sK23(X2,X3,X4,X5,X6,X7)) = sdtpldt0(sdtasdt0(X0,sK23(X2,X3,X4,X5,X6,X7)),sdtasdt0(X1,sK23(X2,X3,X4,X5,X6,X7)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP7(X2,X3,X4,X5,X6,X7) ),
inference(resolution,[],[f293,f210]) ).
fof(f4754,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( sdtasdt0(sdtpldt0(X0,X1),sK22(X2,X3,X4,X5,X6)) = sdtpldt0(sdtasdt0(X0,sK22(X2,X3,X4,X5,X6)),sdtasdt0(X1,sK22(X2,X3,X4,X5,X6)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP8(X2,X3,X4,X5,X6) ),
inference(resolution,[],[f293,f207]) ).
fof(f4753,plain,
! [X2,X3,X0,X1,X4,X5] :
( sdtasdt0(sdtpldt0(X0,X1),sK21(X2,X3,X4,X5)) = sdtpldt0(sdtasdt0(X0,sK21(X2,X3,X4,X5)),sdtasdt0(X1,sK21(X2,X3,X4,X5)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP9(X2,X3,X4,X5) ),
inference(resolution,[],[f293,f204]) ).
fof(f4752,plain,
! [X2,X3,X0,X1,X4] :
( sdtasdt0(sdtpldt0(X0,X1),sK20(X2,X3,X4)) = sdtpldt0(sdtasdt0(X0,sK20(X2,X3,X4)),sdtasdt0(X1,sK20(X2,X3,X4)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP10(X2,X3,X4) ),
inference(resolution,[],[f293,f201]) ).
fof(f4751,plain,
! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sK19(X2,X3)) = sdtpldt0(sdtasdt0(X0,sK19(X2,X3)),sdtasdt0(X1,sK19(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP11(X2,X3) ),
inference(resolution,[],[f293,f198]) ).
fof(f4745,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtasasdt0(X2,X2)) = sdtpldt0(sdtasdt0(X0,sdtasasdt0(X2,X2)),sdtasdt0(X1,sdtasasdt0(X2,X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aVector0(X2) ),
inference(resolution,[],[f293,f1162]) ).
fof(f4744,plain,
! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtlbdtrb0(X2,X3)) = sdtpldt0(sdtasdt0(X0,sdtlbdtrb0(X2,X3)),sdtasdt0(X1,sdtlbdtrb0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) ),
inference(resolution,[],[f293,f273]) ).
fof(f4740,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),smndt0(X2)) = sdtpldt0(sdtasdt0(X0,smndt0(X2)),sdtasdt0(X1,smndt0(X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) ),
inference(resolution,[],[f293,f258]) ).
fof(f4739,plain,
! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X2,X3)),sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ),
inference(resolution,[],[f293,f279]) ).
fof(f4738,plain,
! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X2,X3)),sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ),
inference(resolution,[],[f293,f278]) ).
fof(f4737,plain,
! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f293,f244]) ).
fof(f293,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDistr) ).
fof(f4578,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( sdtasdt0(X0,sdtpldt0(X1,sK29(X2,X3,X4,X5,X6,X7,X8,X9))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK29(X2,X3,X4,X5,X6,X7,X8,X9)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP1(X2,X3,X4,X5,X6,X7,X8,X9) ),
inference(resolution,[],[f292,f228]) ).
fof(f4577,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( sdtasdt0(X0,sdtpldt0(X1,sK28(X2,X3,X4,X5,X6,X7,X8))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK28(X2,X3,X4,X5,X6,X7,X8)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP2(X2,X3,X4,X5,X6,X7,X8) ),
inference(resolution,[],[f292,f225]) ).
fof(f4576,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( sdtasdt0(X0,sdtpldt0(X1,sK27(X2,X3,X4,X5,X6,X7))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK27(X2,X3,X4,X5,X6,X7)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP3(X2,X3,X4,X5,X6,X7) ),
inference(resolution,[],[f292,f222]) ).
fof(f4575,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( sdtasdt0(X0,sdtpldt0(X1,sK26(X2,X3,X4,X5,X6,X7,X8))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK26(X2,X3,X4,X5,X6,X7,X8)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP4(X2,X3,X4,X5,X6,X7,X8) ),
inference(resolution,[],[f292,f219]) ).
fof(f4574,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( sdtasdt0(X0,sdtpldt0(X1,sK25(X2,X3,X4,X5,X6,X7))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK25(X2,X3,X4,X5,X6,X7)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP5(X2,X3,X4,X5,X6,X7) ),
inference(resolution,[],[f292,f216]) ).
fof(f4573,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( sdtasdt0(X0,sdtpldt0(X1,sK24(X2,X3,X4,X5,X6))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK24(X2,X3,X4,X5,X6)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP6(X2,X3,X4,X5,X6) ),
inference(resolution,[],[f292,f213]) ).
fof(f4572,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( sdtasdt0(X0,sdtpldt0(X1,sK23(X2,X3,X4,X5,X6,X7))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK23(X2,X3,X4,X5,X6,X7)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP7(X2,X3,X4,X5,X6,X7) ),
inference(resolution,[],[f292,f210]) ).
fof(f4571,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( sdtasdt0(X0,sdtpldt0(X1,sK22(X2,X3,X4,X5,X6))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK22(X2,X3,X4,X5,X6)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP8(X2,X3,X4,X5,X6) ),
inference(resolution,[],[f292,f207]) ).
fof(f4570,plain,
! [X2,X3,X0,X1,X4,X5] :
( sdtasdt0(X0,sdtpldt0(X1,sK21(X2,X3,X4,X5))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK21(X2,X3,X4,X5)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP9(X2,X3,X4,X5) ),
inference(resolution,[],[f292,f204]) ).
fof(f4569,plain,
! [X2,X3,X0,X1,X4] :
( sdtasdt0(X0,sdtpldt0(X1,sK20(X2,X3,X4))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK20(X2,X3,X4)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP10(X2,X3,X4) ),
inference(resolution,[],[f292,f201]) ).
fof(f4568,plain,
! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sK19(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sK19(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP11(X2,X3) ),
inference(resolution,[],[f292,f198]) ).
fof(f4562,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasasdt0(X2,X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasasdt0(X2,X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aVector0(X2) ),
inference(resolution,[],[f292,f1162]) ).
fof(f4561,plain,
! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtlbdtrb0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtlbdtrb0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) ),
inference(resolution,[],[f292,f273]) ).
fof(f4557,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,smndt0(X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) ),
inference(resolution,[],[f292,f258]) ).
fof(f4556,plain,
! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ),
inference(resolution,[],[f292,f279]) ).
fof(f4555,plain,
! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ),
inference(resolution,[],[f292,f278]) ).
fof(f4554,plain,
! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz0z00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f292,f244]) ).
fof(f292,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f4484,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| sdtasdt0(smndt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7)),sz0z00) = smndt0(sdtasdt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7),sz0z00)) ),
inference(resolution,[],[f228,f1530]) ).
fof(f4481,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| sz0z00 = sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7)))),sz0z00) ),
inference(resolution,[],[f228,f849]) ).
fof(f4480,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| sz0z00 = sdtasdt0(sdtasdt0(sz0z00,smndt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7))),sz0z00) ),
inference(resolution,[],[f228,f840]) ).
fof(f4479,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| sz0z00 = sdtasdt0(sdtasdt0(sz0z00,sK29(X0,X1,X2,X3,X4,X5,X6,X7)),sz0z00) ),
inference(resolution,[],[f228,f829]) ).
fof(f4478,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7))))) ),
inference(resolution,[],[f228,f822]) ).
fof(f4477,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7)))) ),
inference(resolution,[],[f228,f813]) ).
fof(f4476,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,sK29(X0,X1,X2,X3,X4,X5,X6,X7))) ),
inference(resolution,[],[f228,f792]) ).
fof(f4475,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| sz0z00 = sdtasdt0(sdtpldt0(sz0z00,smndt0(smndt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7)))),sz0z00) ),
inference(resolution,[],[f228,f785]) ).
fof(f4474,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| sz0z00 = sdtasdt0(sdtpldt0(sz0z00,smndt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7))),sz0z00) ),
inference(resolution,[],[f228,f776]) ).
fof(f4473,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| sz0z00 = sdtasdt0(sdtpldt0(sz0z00,sK29(X0,X1,X2,X3,X4,X5,X6,X7)),sz0z00) ),
inference(resolution,[],[f228,f765]) ).
fof(f4472,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,smndt0(smndt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7))))) ),
inference(resolution,[],[f228,f758]) ).
fof(f4471,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,smndt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7)))) ),
inference(resolution,[],[f228,f749]) ).
fof(f4470,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,sK29(X0,X1,X2,X3,X4,X5,X6,X7))) ),
inference(resolution,[],[f228,f738]) ).
fof(f4469,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(smndt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7)))))) ),
inference(resolution,[],[f228,f599]) ).
fof(f4468,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| sz0z00 = sdtasdt0(smndt0(smndt0(smndt0(smndt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7))))),sz0z00) ),
inference(resolution,[],[f228,f588]) ).
fof(f4467,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7))))) ),
inference(resolution,[],[f228,f449]) ).
fof(f4466,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| sz0z00 = sdtasdt0(smndt0(smndt0(smndt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7)))),sz0z00) ),
inference(resolution,[],[f228,f440]) ).
fof(f4465,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| smndt0(smndt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7))) = smndt0(smndt0(smndt0(smndt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7))))) ),
inference(resolution,[],[f228,f431]) ).
fof(f4464,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| smndt0(smndt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7))) = sdtpldt0(sz0z00,smndt0(smndt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7)))) ),
inference(resolution,[],[f228,f423]) ).
fof(f4463,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| smndt0(smndt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7))) = sdtpldt0(smndt0(smndt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7))),sz0z00) ),
inference(resolution,[],[f228,f415]) ).
fof(f4462,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7)))) ),
inference(resolution,[],[f228,f394]) ).
fof(f4461,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| sz0z00 = sdtasdt0(smndt0(smndt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7))),sz0z00) ),
inference(resolution,[],[f228,f387]) ).
fof(f4460,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| sz0z00 = sdtpldt0(smndt0(smndt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7))),smndt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7))) ),
inference(resolution,[],[f228,f380]) ).
fof(f4459,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| sz0z00 = sdtpldt0(smndt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7)),smndt0(smndt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7)))) ),
inference(resolution,[],[f228,f373]) ).
fof(f4458,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ aScalar0(X8)
| sz0z00 = sdtasdt0(sdtasdt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7),X8),sz0z00) ),
inference(resolution,[],[f228,f365]) ).
fof(f4457,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ aScalar0(X8)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7),X8)) ),
inference(resolution,[],[f228,f364]) ).
fof(f4456,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ aScalar0(X8)
| sz0z00 = sdtasdt0(sdtpldt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7),X8),sz0z00) ),
inference(resolution,[],[f228,f358]) ).
fof(f4455,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ aScalar0(X8)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7),X8)) ),
inference(resolution,[],[f228,f357]) ).
fof(f4454,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| sz0z00 = sdtpldt0(smndt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7)),sK29(X0,X1,X2,X3,X4,X5,X6,X7)) ),
inference(resolution,[],[f228,f350]) ).
fof(f4453,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| sz0z00 = sdtpldt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7),smndt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7))) ),
inference(resolution,[],[f228,f349]) ).
fof(f4452,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| smndt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7)) = smndt0(smndt0(smndt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7)))) ),
inference(resolution,[],[f228,f346]) ).
fof(f4451,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| sz0z00 = sdtasdt0(sz0z00,smndt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7))) ),
inference(resolution,[],[f228,f343]) ).
fof(f4450,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| sz0z00 = sdtasdt0(smndt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7)),sz0z00) ),
inference(resolution,[],[f228,f339]) ).
fof(f4449,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| smndt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7)) = sdtpldt0(sz0z00,smndt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7))) ),
inference(resolution,[],[f228,f336]) ).
fof(f4448,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| smndt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7)) = sdtpldt0(smndt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7)),sz0z00) ),
inference(resolution,[],[f228,f333]) ).
fof(f4447,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| sK29(X0,X1,X2,X3,X4,X5,X6,X7) = smndt0(smndt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7))) ),
inference(resolution,[],[f228,f331]) ).
fof(f4446,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| sz0z00 = sdtasdt0(sz0z00,sK29(X0,X1,X2,X3,X4,X5,X6,X7)) ),
inference(resolution,[],[f228,f330]) ).
fof(f4445,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| sz0z00 = sdtasdt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7),sz0z00) ),
inference(resolution,[],[f228,f329]) ).
fof(f4444,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| sK29(X0,X1,X2,X3,X4,X5,X6,X7) = sdtpldt0(sz0z00,sK29(X0,X1,X2,X3,X4,X5,X6,X7)) ),
inference(resolution,[],[f228,f328]) ).
fof(f4443,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| sK29(X0,X1,X2,X3,X4,X5,X6,X7) = sdtpldt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7),sz0z00) ),
inference(resolution,[],[f228,f327]) ).
fof(f4442,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| sdtasdt0(sdtasdt0(X8,X9),sK29(X0,X1,X2,X3,X4,X5,X6,X7)) = sdtasdt0(X8,sdtasdt0(X9,sK29(X0,X1,X2,X3,X4,X5,X6,X7)))
| ~ aScalar0(X9)
| ~ aScalar0(X8) ),
inference(resolution,[],[f228,f290]) ).
fof(f4441,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| sdtpldt0(sdtpldt0(X8,X9),sK29(X0,X1,X2,X3,X4,X5,X6,X7)) = sdtpldt0(X8,sdtpldt0(X9,sK29(X0,X1,X2,X3,X4,X5,X6,X7)))
| ~ aScalar0(X9)
| ~ aScalar0(X8) ),
inference(resolution,[],[f228,f288]) ).
fof(f4440,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| smndt0(sdtasdt0(X8,sK29(X0,X1,X2,X3,X4,X5,X6,X7))) = sdtasdt0(smndt0(X8),sK29(X0,X1,X2,X3,X4,X5,X6,X7))
| ~ aScalar0(X8) ),
inference(resolution,[],[f228,f282]) ).
fof(f4439,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| sdtasdt0(X8,smndt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7))) = smndt0(sdtasdt0(X8,sK29(X0,X1,X2,X3,X4,X5,X6,X7)))
| ~ aScalar0(X8) ),
inference(resolution,[],[f228,f281]) ).
fof(f4438,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| sdtasdt0(X8,sK29(X0,X1,X2,X3,X4,X5,X6,X7)) = sdtasdt0(smndt0(X8),smndt0(sK29(X0,X1,X2,X3,X4,X5,X6,X7)))
| ~ aScalar0(X8) ),
inference(resolution,[],[f228,f280]) ).
fof(f228,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( aScalar0(sK29(X0,X1,X2,X3,X4,X5,X6,X7))
| ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( sP0(X7,X6,X5,X4,X3,X2,sK29(X0,X1,X2,X3,X4,X5,X6,X7),X1,X0)
& sdtasdt0(X5,X6) = sK29(X0,X1,X2,X3,X4,X5,X6,X7)
& aScalar0(sK29(X0,X1,X2,X3,X4,X5,X6,X7)) )
| ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f172,f173]) ).
fof(f173,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ? [X8] :
( sP0(X7,X6,X5,X4,X3,X2,X8,X1,X0)
& sdtasdt0(X5,X6) = X8
& aScalar0(X8) )
=> ( sP0(X7,X6,X5,X4,X3,X2,sK29(X0,X1,X2,X3,X4,X5,X6,X7),X1,X0)
& sdtasdt0(X5,X6) = sK29(X0,X1,X2,X3,X4,X5,X6,X7)
& aScalar0(sK29(X0,X1,X2,X3,X4,X5,X6,X7)) ) ),
introduced(choice_axiom,[]) ).
fof(f172,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ? [X8] :
( sP0(X7,X6,X5,X4,X3,X2,X8,X1,X0)
& sdtasdt0(X5,X6) = X8
& aScalar0(X8) )
| ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(rectify,[],[f171]) ).
fof(f171,plain,
! [X11,X10,X6,X9,X4,X7,X5,X8] :
( ? [X12] :
( sP0(X8,X5,X7,X4,X9,X6,X12,X10,X11)
& sdtasdt0(X7,X5) = X12
& aScalar0(X12) )
| ~ sP1(X11,X10,X6,X9,X4,X7,X5,X8) ),
inference(nnf_transformation,[],[f105]) ).
fof(f4391,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| sdtasdt0(X0,X0) = sK24(X3,X2,sK23(X0,X1,X2,X3,X4,X5),X1,X0) ),
inference(resolution,[],[f212,f214]) ).
fof(f212,plain,
! [X2,X3,X0,X1,X4,X5] :
( sP6(X3,X2,sK23(X0,X1,X2,X3,X4,X5),X1,X0)
| ~ sP7(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( sP6(X3,X2,sK23(X0,X1,X2,X3,X4,X5),X1,X0)
& sdtasasdt0(X5,X4) = sK23(X0,X1,X2,X3,X4,X5)
& aScalar0(sK23(X0,X1,X2,X3,X4,X5)) )
| ~ sP7(X0,X1,X2,X3,X4,X5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f148,f149]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X6] :
( sP6(X3,X2,X6,X1,X0)
& sdtasasdt0(X5,X4) = X6
& aScalar0(X6) )
=> ( sP6(X3,X2,sK23(X0,X1,X2,X3,X4,X5),X1,X0)
& sdtasasdt0(X5,X4) = sK23(X0,X1,X2,X3,X4,X5)
& aScalar0(sK23(X0,X1,X2,X3,X4,X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X6] :
( sP6(X3,X2,X6,X1,X0)
& sdtasasdt0(X5,X4) = X6
& aScalar0(X6) )
| ~ sP7(X0,X1,X2,X3,X4,X5) ),
inference(rectify,[],[f147]) ).
fof(f147,plain,
! [X2,X3,X4,X5,X1,X0] :
( ? [X6] :
( sP6(X5,X4,X6,X3,X2)
& sdtasasdt0(X0,X1) = X6
& aScalar0(X6) )
| ~ sP7(X2,X3,X4,X5,X1,X0) ),
inference(nnf_transformation,[],[f111]) ).
fof(f223,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| sdtasdt0(X2,X5) = sK27(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( sP2(X5,X4,X3,X2,X1,X0,sK27(X0,X1,X2,X3,X4,X5))
& sdtasdt0(X2,X5) = sK27(X0,X1,X2,X3,X4,X5)
& aScalar0(sK27(X0,X1,X2,X3,X4,X5)) )
| ~ sP3(X0,X1,X2,X3,X4,X5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f164,f165]) ).
fof(f165,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X6] :
( sP2(X5,X4,X3,X2,X1,X0,X6)
& sdtasdt0(X2,X5) = X6
& aScalar0(X6) )
=> ( sP2(X5,X4,X3,X2,X1,X0,sK27(X0,X1,X2,X3,X4,X5))
& sdtasdt0(X2,X5) = sK27(X0,X1,X2,X3,X4,X5)
& aScalar0(sK27(X0,X1,X2,X3,X4,X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f164,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X6] :
( sP2(X5,X4,X3,X2,X1,X0,X6)
& sdtasdt0(X2,X5) = X6
& aScalar0(X6) )
| ~ sP3(X0,X1,X2,X3,X4,X5) ),
inference(rectify,[],[f163]) ).
fof(f163,plain,
! [X6,X9,X4,X7,X5,X8] :
( ? [X10] :
( sP2(X8,X5,X7,X4,X9,X6,X10)
& sdtasdt0(X4,X8) = X10
& aScalar0(X10) )
| ~ sP3(X6,X9,X4,X7,X5,X8) ),
inference(nnf_transformation,[],[f107]) ).
fof(f4237,plain,
! [X2,X3,X0,X1,X4] :
( sdtasdt0(X0,X0) = sK25(X1,X0,X2,X3,sK24(X4,X3,X2,X0,X1),X4)
| ~ sP6(X4,X3,X2,X0,X1) ),
inference(resolution,[],[f217,f215]) ).
fof(f217,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| sdtasdt0(X1,X1) = sK25(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( sP4(sK25(X0,X1,X2,X3,X4,X5),X5,X4,X3,X2,X1,X0)
& sdtasdt0(X1,X1) = sK25(X0,X1,X2,X3,X4,X5)
& aScalar0(sK25(X0,X1,X2,X3,X4,X5)) )
| ~ sP5(X0,X1,X2,X3,X4,X5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f156,f157]) ).
fof(f157,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X6] :
( sP4(X6,X5,X4,X3,X2,X1,X0)
& sdtasdt0(X1,X1) = X6
& aScalar0(X6) )
=> ( sP4(sK25(X0,X1,X2,X3,X4,X5),X5,X4,X3,X2,X1,X0)
& sdtasdt0(X1,X1) = sK25(X0,X1,X2,X3,X4,X5)
& aScalar0(sK25(X0,X1,X2,X3,X4,X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X6] :
( sP4(X6,X5,X4,X3,X2,X1,X0)
& sdtasdt0(X1,X1) = X6
& aScalar0(X6) )
| ~ sP5(X0,X1,X2,X3,X4,X5) ),
inference(rectify,[],[f155]) ).
fof(f155,plain,
! [X2,X3,X6,X4,X7,X5] :
( ? [X8] :
( sP4(X8,X5,X7,X4,X6,X3,X2)
& sdtasdt0(X3,X3) = X8
& aScalar0(X8) )
| ~ sP5(X2,X3,X6,X4,X7,X5) ),
inference(nnf_transformation,[],[f109]) ).
fof(f215,plain,
! [X2,X3,X0,X1,X4] :
( sP5(X4,X3,X2,X1,sK24(X0,X1,X2,X3,X4),X0)
| ~ sP6(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0,X1,X2,X3,X4] :
( ( sP5(X4,X3,X2,X1,sK24(X0,X1,X2,X3,X4),X0)
& sdtasdt0(X4,X4) = sK24(X0,X1,X2,X3,X4)
& aScalar0(sK24(X0,X1,X2,X3,X4)) )
| ~ sP6(X0,X1,X2,X3,X4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f152,f153]) ).
fof(f153,plain,
! [X0,X1,X2,X3,X4] :
( ? [X5] :
( sP5(X4,X3,X2,X1,X5,X0)
& sdtasdt0(X4,X4) = X5
& aScalar0(X5) )
=> ( sP5(X4,X3,X2,X1,sK24(X0,X1,X2,X3,X4),X0)
& sdtasdt0(X4,X4) = sK24(X0,X1,X2,X3,X4)
& aScalar0(sK24(X0,X1,X2,X3,X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
! [X0,X1,X2,X3,X4] :
( ? [X5] :
( sP5(X4,X3,X2,X1,X5,X0)
& sdtasdt0(X4,X4) = X5
& aScalar0(X5) )
| ~ sP6(X0,X1,X2,X3,X4) ),
inference(rectify,[],[f151]) ).
fof(f151,plain,
! [X5,X4,X6,X3,X2] :
( ? [X7] :
( sP5(X2,X3,X6,X4,X7,X5)
& sdtasdt0(X2,X2) = X7
& aScalar0(X7) )
| ~ sP6(X5,X4,X6,X3,X2) ),
inference(nnf_transformation,[],[f110]) ).
fof(f4079,plain,
! [X2,X3,X0,X1,X4] :
( sdtasasdt0(X0,X1) = sK23(X2,X3,X4,sK22(X0,X1,X4,X3,X2),X1,X0)
| ~ sP8(X0,X1,X4,X3,X2) ),
inference(resolution,[],[f211,f209]) ).
fof(f211,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| sdtasasdt0(X5,X4) = sK23(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f150]) ).
fof(f209,plain,
! [X2,X3,X0,X1,X4] :
( sP7(X4,X3,X2,sK22(X0,X1,X2,X3,X4),X1,X0)
| ~ sP8(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0,X1,X2,X3,X4] :
( ( sP7(X4,X3,X2,sK22(X0,X1,X2,X3,X4),X1,X0)
& sdtasasdt0(X1,X1) = sK22(X0,X1,X2,X3,X4)
& aScalar0(sK22(X0,X1,X2,X3,X4)) )
| ~ sP8(X0,X1,X2,X3,X4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f144,f145]) ).
fof(f145,plain,
! [X0,X1,X2,X3,X4] :
( ? [X5] :
( sP7(X4,X3,X2,X5,X1,X0)
& sdtasasdt0(X1,X1) = X5
& aScalar0(X5) )
=> ( sP7(X4,X3,X2,sK22(X0,X1,X2,X3,X4),X1,X0)
& sdtasasdt0(X1,X1) = sK22(X0,X1,X2,X3,X4)
& aScalar0(sK22(X0,X1,X2,X3,X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
! [X0,X1,X2,X3,X4] :
( ? [X5] :
( sP7(X4,X3,X2,X5,X1,X0)
& sdtasasdt0(X1,X1) = X5
& aScalar0(X5) )
| ~ sP8(X0,X1,X2,X3,X4) ),
inference(rectify,[],[f143]) ).
fof(f143,plain,
! [X0,X1,X4,X3,X2] :
( ? [X5] :
( sP7(X2,X3,X4,X5,X1,X0)
& sdtasasdt0(X1,X1) = X5
& aScalar0(X5) )
| ~ sP8(X0,X1,X4,X3,X2) ),
inference(nnf_transformation,[],[f112]) ).
fof(f299,plain,
! [X0,X1] :
( sz00 != aDimensionOf0(X1)
| sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X0)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(inner_rewriting,[],[f277]) ).
fof(f3847,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( sdtasdt0(sdtasdt0(X0,X1),sK28(X2,X3,X4,X5,X6,X7,X8)) = sdtasdt0(X0,sdtasdt0(X1,sK28(X2,X3,X4,X5,X6,X7,X8)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP2(X2,X3,X4,X5,X6,X7,X8) ),
inference(resolution,[],[f290,f225]) ).
fof(f3846,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( sdtasdt0(sdtasdt0(X0,X1),sK27(X2,X3,X4,X5,X6,X7)) = sdtasdt0(X0,sdtasdt0(X1,sK27(X2,X3,X4,X5,X6,X7)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP3(X2,X3,X4,X5,X6,X7) ),
inference(resolution,[],[f290,f222]) ).
fof(f3845,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( sdtasdt0(sdtasdt0(X0,X1),sK26(X2,X3,X4,X5,X6,X7,X8)) = sdtasdt0(X0,sdtasdt0(X1,sK26(X2,X3,X4,X5,X6,X7,X8)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP4(X2,X3,X4,X5,X6,X7,X8) ),
inference(resolution,[],[f290,f219]) ).
fof(f3844,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( sdtasdt0(sdtasdt0(X0,X1),sK25(X2,X3,X4,X5,X6,X7)) = sdtasdt0(X0,sdtasdt0(X1,sK25(X2,X3,X4,X5,X6,X7)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP5(X2,X3,X4,X5,X6,X7) ),
inference(resolution,[],[f290,f216]) ).
fof(f3843,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( sdtasdt0(sdtasdt0(X0,X1),sK24(X2,X3,X4,X5,X6)) = sdtasdt0(X0,sdtasdt0(X1,sK24(X2,X3,X4,X5,X6)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP6(X2,X3,X4,X5,X6) ),
inference(resolution,[],[f290,f213]) ).
fof(f3842,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( sdtasdt0(sdtasdt0(X0,X1),sK23(X2,X3,X4,X5,X6,X7)) = sdtasdt0(X0,sdtasdt0(X1,sK23(X2,X3,X4,X5,X6,X7)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP7(X2,X3,X4,X5,X6,X7) ),
inference(resolution,[],[f290,f210]) ).
fof(f3841,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( sdtasdt0(sdtasdt0(X0,X1),sK22(X2,X3,X4,X5,X6)) = sdtasdt0(X0,sdtasdt0(X1,sK22(X2,X3,X4,X5,X6)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP8(X2,X3,X4,X5,X6) ),
inference(resolution,[],[f290,f207]) ).
fof(f3840,plain,
! [X2,X3,X0,X1,X4,X5] :
( sdtasdt0(sdtasdt0(X0,X1),sK21(X2,X3,X4,X5)) = sdtasdt0(X0,sdtasdt0(X1,sK21(X2,X3,X4,X5)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP9(X2,X3,X4,X5) ),
inference(resolution,[],[f290,f204]) ).
fof(f3839,plain,
! [X2,X3,X0,X1,X4] :
( sdtasdt0(sdtasdt0(X0,X1),sK20(X2,X3,X4)) = sdtasdt0(X0,sdtasdt0(X1,sK20(X2,X3,X4)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP10(X2,X3,X4) ),
inference(resolution,[],[f290,f201]) ).
fof(f3838,plain,
! [X2,X3,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sK19(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sK19(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP11(X2,X3) ),
inference(resolution,[],[f290,f198]) ).
fof(f3834,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtasasdt0(X2,X2)) = sdtasdt0(X0,sdtasdt0(X1,sdtasasdt0(X2,X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aVector0(X2) ),
inference(resolution,[],[f290,f1162]) ).
fof(f3833,plain,
! [X2,X3,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtlbdtrb0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtlbdtrb0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) ),
inference(resolution,[],[f290,f273]) ).
fof(f3829,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),smndt0(X2)) = sdtasdt0(X0,sdtasdt0(X1,smndt0(X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) ),
inference(resolution,[],[f290,f258]) ).
fof(f3828,plain,
! [X2,X3,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ),
inference(resolution,[],[f290,f279]) ).
fof(f3827,plain,
! [X2,X3,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ),
inference(resolution,[],[f290,f278]) ).
fof(f3826,plain,
! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz0z00) = sdtasdt0(X0,sdtasdt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f290,f244]) ).
fof(f290,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArith) ).
fof(f3778,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( sdtpldt0(sdtpldt0(X0,X1),sK28(X2,X3,X4,X5,X6,X7,X8)) = sdtpldt0(X0,sdtpldt0(X1,sK28(X2,X3,X4,X5,X6,X7,X8)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP2(X2,X3,X4,X5,X6,X7,X8) ),
inference(resolution,[],[f288,f225]) ).
fof(f3777,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( sdtpldt0(sdtpldt0(X0,X1),sK27(X2,X3,X4,X5,X6,X7)) = sdtpldt0(X0,sdtpldt0(X1,sK27(X2,X3,X4,X5,X6,X7)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP3(X2,X3,X4,X5,X6,X7) ),
inference(resolution,[],[f288,f222]) ).
fof(f3776,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( sdtpldt0(sdtpldt0(X0,X1),sK26(X2,X3,X4,X5,X6,X7,X8)) = sdtpldt0(X0,sdtpldt0(X1,sK26(X2,X3,X4,X5,X6,X7,X8)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP4(X2,X3,X4,X5,X6,X7,X8) ),
inference(resolution,[],[f288,f219]) ).
fof(f3775,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( sdtpldt0(sdtpldt0(X0,X1),sK25(X2,X3,X4,X5,X6,X7)) = sdtpldt0(X0,sdtpldt0(X1,sK25(X2,X3,X4,X5,X6,X7)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP5(X2,X3,X4,X5,X6,X7) ),
inference(resolution,[],[f288,f216]) ).
fof(f3774,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( sdtpldt0(sdtpldt0(X0,X1),sK24(X2,X3,X4,X5,X6)) = sdtpldt0(X0,sdtpldt0(X1,sK24(X2,X3,X4,X5,X6)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP6(X2,X3,X4,X5,X6) ),
inference(resolution,[],[f288,f213]) ).
fof(f3773,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( sdtpldt0(sdtpldt0(X0,X1),sK23(X2,X3,X4,X5,X6,X7)) = sdtpldt0(X0,sdtpldt0(X1,sK23(X2,X3,X4,X5,X6,X7)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP7(X2,X3,X4,X5,X6,X7) ),
inference(resolution,[],[f288,f210]) ).
fof(f3772,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( sdtpldt0(sdtpldt0(X0,X1),sK22(X2,X3,X4,X5,X6)) = sdtpldt0(X0,sdtpldt0(X1,sK22(X2,X3,X4,X5,X6)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP8(X2,X3,X4,X5,X6) ),
inference(resolution,[],[f288,f207]) ).
fof(f3771,plain,
! [X2,X3,X0,X1,X4,X5] :
( sdtpldt0(sdtpldt0(X0,X1),sK21(X2,X3,X4,X5)) = sdtpldt0(X0,sdtpldt0(X1,sK21(X2,X3,X4,X5)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP9(X2,X3,X4,X5) ),
inference(resolution,[],[f288,f204]) ).
fof(f3770,plain,
! [X2,X3,X0,X1,X4] :
( sdtpldt0(sdtpldt0(X0,X1),sK20(X2,X3,X4)) = sdtpldt0(X0,sdtpldt0(X1,sK20(X2,X3,X4)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP10(X2,X3,X4) ),
inference(resolution,[],[f288,f201]) ).
fof(f3769,plain,
! [X2,X3,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sK19(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sK19(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sP11(X2,X3) ),
inference(resolution,[],[f288,f198]) ).
fof(f3765,plain,
! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtasasdt0(X2,X2)) = sdtpldt0(X0,sdtpldt0(X1,sdtasasdt0(X2,X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aVector0(X2) ),
inference(resolution,[],[f288,f1162]) ).
fof(f3764,plain,
! [X2,X3,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtlbdtrb0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtlbdtrb0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) ),
inference(resolution,[],[f288,f273]) ).
fof(f3760,plain,
! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),smndt0(X2)) = sdtpldt0(X0,sdtpldt0(X1,smndt0(X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) ),
inference(resolution,[],[f288,f258]) ).
fof(f3759,plain,
! [X2,X3,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ),
inference(resolution,[],[f288,f279]) ).
fof(f3758,plain,
! [X2,X3,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ),
inference(resolution,[],[f288,f278]) ).
fof(f3757,plain,
! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(X0,sdtpldt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f288,f244]) ).
fof(f288,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f234,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| sdtlseqdt0(sdtpldt0(X8,X8),sdtpldt0(X7,X6)) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X5,X4),sdtpldt0(X5,X4)),sdtasdt0(sdtpldt0(X3,X2),sdtpldt0(X1,X0)))
& sdtlseqdt0(sdtpldt0(X8,X8),sdtpldt0(X7,X6))
& sdtlseqdt0(sdtasdt0(X5,X5),sdtasdt0(X3,X1))
& sdtasdt0(X7,X6) = sK30(X0,X1,X2,X3,X4,X5,X6,X7,X8)
& aScalar0(sK30(X0,X1,X2,X3,X4,X5,X6,X7,X8)) )
| ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30])],[f176,f177]) ).
fof(f177,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ? [X9] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X5,X4),sdtpldt0(X5,X4)),sdtasdt0(sdtpldt0(X3,X2),sdtpldt0(X1,X0)))
& sdtlseqdt0(sdtpldt0(X8,X8),sdtpldt0(X7,X6))
& sdtlseqdt0(sdtasdt0(X5,X5),sdtasdt0(X3,X1))
& sdtasdt0(X7,X6) = X9
& aScalar0(X9) )
=> ( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X5,X4),sdtpldt0(X5,X4)),sdtasdt0(sdtpldt0(X3,X2),sdtpldt0(X1,X0)))
& sdtlseqdt0(sdtpldt0(X8,X8),sdtpldt0(X7,X6))
& sdtlseqdt0(sdtasdt0(X5,X5),sdtasdt0(X3,X1))
& sdtasdt0(X7,X6) = sK30(X0,X1,X2,X3,X4,X5,X6,X7,X8)
& aScalar0(sK30(X0,X1,X2,X3,X4,X5,X6,X7,X8)) ) ),
introduced(choice_axiom,[]) ).
fof(f176,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ? [X9] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X5,X4),sdtpldt0(X5,X4)),sdtasdt0(sdtpldt0(X3,X2),sdtpldt0(X1,X0)))
& sdtlseqdt0(sdtpldt0(X8,X8),sdtpldt0(X7,X6))
& sdtlseqdt0(sdtasdt0(X5,X5),sdtasdt0(X3,X1))
& sdtasdt0(X7,X6) = X9
& aScalar0(X9) )
| ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(rectify,[],[f175]) ).
fof(f175,plain,
! [X8,X5,X7,X4,X9,X6,X12,X10,X11] :
( ? [X13] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X6,X9),sdtpldt0(X6,X9)),sdtasdt0(sdtpldt0(X4,X7),sdtpldt0(X5,X8)))
& sdtlseqdt0(sdtpldt0(X11,X11),sdtpldt0(X10,X12))
& sdtlseqdt0(sdtasdt0(X6,X6),sdtasdt0(X4,X5))
& sdtasdt0(X10,X12) = X13
& aScalar0(X13) )
| ~ sP0(X8,X5,X7,X4,X9,X6,X12,X10,X11) ),
inference(nnf_transformation,[],[f104]) ).
fof(f233,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| sdtlseqdt0(sdtasdt0(X5,X5),sdtasdt0(X3,X1)) ),
inference(cnf_transformation,[],[f178]) ).
fof(f3518,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| sdtasdt0(smndt0(sK28(X0,X1,X2,X3,X4,X5,X6)),sz0z00) = smndt0(sdtasdt0(sK28(X0,X1,X2,X3,X4,X5,X6),sz0z00)) ),
inference(resolution,[],[f225,f1530]) ).
fof(f3515,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(sK28(X0,X1,X2,X3,X4,X5,X6)))),sz0z00) ),
inference(resolution,[],[f225,f849]) ).
fof(f3514,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(sdtasdt0(sz0z00,smndt0(sK28(X0,X1,X2,X3,X4,X5,X6))),sz0z00) ),
inference(resolution,[],[f225,f840]) ).
fof(f3513,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(sdtasdt0(sz0z00,sK28(X0,X1,X2,X3,X4,X5,X6)),sz0z00) ),
inference(resolution,[],[f225,f829]) ).
fof(f3512,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(sK28(X0,X1,X2,X3,X4,X5,X6))))) ),
inference(resolution,[],[f225,f822]) ).
fof(f3511,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(sK28(X0,X1,X2,X3,X4,X5,X6)))) ),
inference(resolution,[],[f225,f813]) ).
fof(f3510,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,sK28(X0,X1,X2,X3,X4,X5,X6))) ),
inference(resolution,[],[f225,f792]) ).
fof(f3509,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(sdtpldt0(sz0z00,smndt0(smndt0(sK28(X0,X1,X2,X3,X4,X5,X6)))),sz0z00) ),
inference(resolution,[],[f225,f785]) ).
fof(f3508,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(sdtpldt0(sz0z00,smndt0(sK28(X0,X1,X2,X3,X4,X5,X6))),sz0z00) ),
inference(resolution,[],[f225,f776]) ).
fof(f3507,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(sdtpldt0(sz0z00,sK28(X0,X1,X2,X3,X4,X5,X6)),sz0z00) ),
inference(resolution,[],[f225,f765]) ).
fof(f3506,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,smndt0(smndt0(sK28(X0,X1,X2,X3,X4,X5,X6))))) ),
inference(resolution,[],[f225,f758]) ).
fof(f3505,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,smndt0(sK28(X0,X1,X2,X3,X4,X5,X6)))) ),
inference(resolution,[],[f225,f749]) ).
fof(f3504,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,sK28(X0,X1,X2,X3,X4,X5,X6))) ),
inference(resolution,[],[f225,f738]) ).
fof(f3503,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(smndt0(sK28(X0,X1,X2,X3,X4,X5,X6)))))) ),
inference(resolution,[],[f225,f599]) ).
fof(f3502,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(smndt0(smndt0(smndt0(smndt0(sK28(X0,X1,X2,X3,X4,X5,X6))))),sz0z00) ),
inference(resolution,[],[f225,f588]) ).
fof(f3501,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sK28(X0,X1,X2,X3,X4,X5,X6))))) ),
inference(resolution,[],[f225,f449]) ).
fof(f3500,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(smndt0(smndt0(smndt0(sK28(X0,X1,X2,X3,X4,X5,X6)))),sz0z00) ),
inference(resolution,[],[f225,f440]) ).
fof(f3499,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| smndt0(smndt0(sK28(X0,X1,X2,X3,X4,X5,X6))) = smndt0(smndt0(smndt0(smndt0(sK28(X0,X1,X2,X3,X4,X5,X6))))) ),
inference(resolution,[],[f225,f431]) ).
fof(f3498,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| smndt0(smndt0(sK28(X0,X1,X2,X3,X4,X5,X6))) = sdtpldt0(sz0z00,smndt0(smndt0(sK28(X0,X1,X2,X3,X4,X5,X6)))) ),
inference(resolution,[],[f225,f423]) ).
fof(f3497,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| smndt0(smndt0(sK28(X0,X1,X2,X3,X4,X5,X6))) = sdtpldt0(smndt0(smndt0(sK28(X0,X1,X2,X3,X4,X5,X6))),sz0z00) ),
inference(resolution,[],[f225,f415]) ).
fof(f3496,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(sK28(X0,X1,X2,X3,X4,X5,X6)))) ),
inference(resolution,[],[f225,f394]) ).
fof(f3495,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(smndt0(smndt0(sK28(X0,X1,X2,X3,X4,X5,X6))),sz0z00) ),
inference(resolution,[],[f225,f387]) ).
fof(f3494,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtpldt0(smndt0(smndt0(sK28(X0,X1,X2,X3,X4,X5,X6))),smndt0(sK28(X0,X1,X2,X3,X4,X5,X6))) ),
inference(resolution,[],[f225,f380]) ).
fof(f3493,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtpldt0(smndt0(sK28(X0,X1,X2,X3,X4,X5,X6)),smndt0(smndt0(sK28(X0,X1,X2,X3,X4,X5,X6)))) ),
inference(resolution,[],[f225,f373]) ).
fof(f3492,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| ~ aScalar0(X7)
| sz0z00 = sdtasdt0(sdtasdt0(sK28(X0,X1,X2,X3,X4,X5,X6),X7),sz0z00) ),
inference(resolution,[],[f225,f365]) ).
fof(f3491,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| ~ aScalar0(X7)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sK28(X0,X1,X2,X3,X4,X5,X6),X7)) ),
inference(resolution,[],[f225,f364]) ).
fof(f3490,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| ~ aScalar0(X7)
| sz0z00 = sdtasdt0(sdtpldt0(sK28(X0,X1,X2,X3,X4,X5,X6),X7),sz0z00) ),
inference(resolution,[],[f225,f358]) ).
fof(f3489,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| ~ aScalar0(X7)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sK28(X0,X1,X2,X3,X4,X5,X6),X7)) ),
inference(resolution,[],[f225,f357]) ).
fof(f3488,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtpldt0(smndt0(sK28(X0,X1,X2,X3,X4,X5,X6)),sK28(X0,X1,X2,X3,X4,X5,X6)) ),
inference(resolution,[],[f225,f350]) ).
fof(f3487,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtpldt0(sK28(X0,X1,X2,X3,X4,X5,X6),smndt0(sK28(X0,X1,X2,X3,X4,X5,X6))) ),
inference(resolution,[],[f225,f349]) ).
fof(f3486,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| smndt0(sK28(X0,X1,X2,X3,X4,X5,X6)) = smndt0(smndt0(smndt0(sK28(X0,X1,X2,X3,X4,X5,X6)))) ),
inference(resolution,[],[f225,f346]) ).
fof(f3485,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(sz0z00,smndt0(sK28(X0,X1,X2,X3,X4,X5,X6))) ),
inference(resolution,[],[f225,f343]) ).
fof(f3484,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(smndt0(sK28(X0,X1,X2,X3,X4,X5,X6)),sz0z00) ),
inference(resolution,[],[f225,f339]) ).
fof(f3483,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| smndt0(sK28(X0,X1,X2,X3,X4,X5,X6)) = sdtpldt0(sz0z00,smndt0(sK28(X0,X1,X2,X3,X4,X5,X6))) ),
inference(resolution,[],[f225,f336]) ).
fof(f3482,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| smndt0(sK28(X0,X1,X2,X3,X4,X5,X6)) = sdtpldt0(smndt0(sK28(X0,X1,X2,X3,X4,X5,X6)),sz0z00) ),
inference(resolution,[],[f225,f333]) ).
fof(f3481,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| sK28(X0,X1,X2,X3,X4,X5,X6) = smndt0(smndt0(sK28(X0,X1,X2,X3,X4,X5,X6))) ),
inference(resolution,[],[f225,f331]) ).
fof(f3480,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(sz0z00,sK28(X0,X1,X2,X3,X4,X5,X6)) ),
inference(resolution,[],[f225,f330]) ).
fof(f3479,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(sK28(X0,X1,X2,X3,X4,X5,X6),sz0z00) ),
inference(resolution,[],[f225,f329]) ).
fof(f3478,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| sK28(X0,X1,X2,X3,X4,X5,X6) = sdtpldt0(sz0z00,sK28(X0,X1,X2,X3,X4,X5,X6)) ),
inference(resolution,[],[f225,f328]) ).
fof(f3477,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| sK28(X0,X1,X2,X3,X4,X5,X6) = sdtpldt0(sK28(X0,X1,X2,X3,X4,X5,X6),sz0z00) ),
inference(resolution,[],[f225,f327]) ).
fof(f3476,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| smndt0(sdtasdt0(X7,sK28(X0,X1,X2,X3,X4,X5,X6))) = sdtasdt0(smndt0(X7),sK28(X0,X1,X2,X3,X4,X5,X6))
| ~ aScalar0(X7) ),
inference(resolution,[],[f225,f282]) ).
fof(f3475,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| sdtasdt0(X7,smndt0(sK28(X0,X1,X2,X3,X4,X5,X6))) = smndt0(sdtasdt0(X7,sK28(X0,X1,X2,X3,X4,X5,X6)))
| ~ aScalar0(X7) ),
inference(resolution,[],[f225,f281]) ).
fof(f3474,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| sdtasdt0(X7,sK28(X0,X1,X2,X3,X4,X5,X6)) = sdtasdt0(smndt0(X7),smndt0(sK28(X0,X1,X2,X3,X4,X5,X6)))
| ~ aScalar0(X7) ),
inference(resolution,[],[f225,f280]) ).
fof(f225,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( aScalar0(sK28(X0,X1,X2,X3,X4,X5,X6))
| ~ sP2(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( sP1(sK28(X0,X1,X2,X3,X4,X5,X6),X6,X5,X4,X3,X2,X1,X0)
& sdtasdt0(X5,X4) = sK28(X0,X1,X2,X3,X4,X5,X6)
& aScalar0(sK28(X0,X1,X2,X3,X4,X5,X6)) )
| ~ sP2(X0,X1,X2,X3,X4,X5,X6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f168,f169]) ).
fof(f169,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ? [X7] :
( sP1(X7,X6,X5,X4,X3,X2,X1,X0)
& sdtasdt0(X5,X4) = X7
& aScalar0(X7) )
=> ( sP1(sK28(X0,X1,X2,X3,X4,X5,X6),X6,X5,X4,X3,X2,X1,X0)
& sdtasdt0(X5,X4) = sK28(X0,X1,X2,X3,X4,X5,X6)
& aScalar0(sK28(X0,X1,X2,X3,X4,X5,X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f168,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ? [X7] :
( sP1(X7,X6,X5,X4,X3,X2,X1,X0)
& sdtasdt0(X5,X4) = X7
& aScalar0(X7) )
| ~ sP2(X0,X1,X2,X3,X4,X5,X6) ),
inference(rectify,[],[f167]) ).
fof(f167,plain,
! [X8,X5,X7,X4,X9,X6,X10] :
( ? [X11] :
( sP1(X11,X10,X6,X9,X4,X7,X5,X8)
& sdtasdt0(X6,X9) = X11
& aScalar0(X11) )
| ~ sP2(X8,X5,X7,X4,X9,X6,X10) ),
inference(nnf_transformation,[],[f106]) ).
fof(f3441,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| sdtasdt0(smndt0(sK26(X0,X1,X2,X3,X4,X5,X6)),sz0z00) = smndt0(sdtasdt0(sK26(X0,X1,X2,X3,X4,X5,X6),sz0z00)) ),
inference(resolution,[],[f219,f1530]) ).
fof(f3438,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(sK26(X0,X1,X2,X3,X4,X5,X6)))),sz0z00) ),
inference(resolution,[],[f219,f849]) ).
fof(f3437,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(sdtasdt0(sz0z00,smndt0(sK26(X0,X1,X2,X3,X4,X5,X6))),sz0z00) ),
inference(resolution,[],[f219,f840]) ).
fof(f3436,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(sdtasdt0(sz0z00,sK26(X0,X1,X2,X3,X4,X5,X6)),sz0z00) ),
inference(resolution,[],[f219,f829]) ).
fof(f3435,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(sK26(X0,X1,X2,X3,X4,X5,X6))))) ),
inference(resolution,[],[f219,f822]) ).
fof(f3434,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(sK26(X0,X1,X2,X3,X4,X5,X6)))) ),
inference(resolution,[],[f219,f813]) ).
fof(f3433,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,sK26(X0,X1,X2,X3,X4,X5,X6))) ),
inference(resolution,[],[f219,f792]) ).
fof(f3432,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(sdtpldt0(sz0z00,smndt0(smndt0(sK26(X0,X1,X2,X3,X4,X5,X6)))),sz0z00) ),
inference(resolution,[],[f219,f785]) ).
fof(f3431,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(sdtpldt0(sz0z00,smndt0(sK26(X0,X1,X2,X3,X4,X5,X6))),sz0z00) ),
inference(resolution,[],[f219,f776]) ).
fof(f3430,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(sdtpldt0(sz0z00,sK26(X0,X1,X2,X3,X4,X5,X6)),sz0z00) ),
inference(resolution,[],[f219,f765]) ).
fof(f3429,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,smndt0(smndt0(sK26(X0,X1,X2,X3,X4,X5,X6))))) ),
inference(resolution,[],[f219,f758]) ).
fof(f3428,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,smndt0(sK26(X0,X1,X2,X3,X4,X5,X6)))) ),
inference(resolution,[],[f219,f749]) ).
fof(f3427,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,sK26(X0,X1,X2,X3,X4,X5,X6))) ),
inference(resolution,[],[f219,f738]) ).
fof(f3426,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(smndt0(sK26(X0,X1,X2,X3,X4,X5,X6)))))) ),
inference(resolution,[],[f219,f599]) ).
fof(f3425,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(smndt0(smndt0(smndt0(smndt0(sK26(X0,X1,X2,X3,X4,X5,X6))))),sz0z00) ),
inference(resolution,[],[f219,f588]) ).
fof(f3424,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sK26(X0,X1,X2,X3,X4,X5,X6))))) ),
inference(resolution,[],[f219,f449]) ).
fof(f3423,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(smndt0(smndt0(smndt0(sK26(X0,X1,X2,X3,X4,X5,X6)))),sz0z00) ),
inference(resolution,[],[f219,f440]) ).
fof(f3422,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| smndt0(smndt0(sK26(X0,X1,X2,X3,X4,X5,X6))) = smndt0(smndt0(smndt0(smndt0(sK26(X0,X1,X2,X3,X4,X5,X6))))) ),
inference(resolution,[],[f219,f431]) ).
fof(f3421,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| smndt0(smndt0(sK26(X0,X1,X2,X3,X4,X5,X6))) = sdtpldt0(sz0z00,smndt0(smndt0(sK26(X0,X1,X2,X3,X4,X5,X6)))) ),
inference(resolution,[],[f219,f423]) ).
fof(f3420,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| smndt0(smndt0(sK26(X0,X1,X2,X3,X4,X5,X6))) = sdtpldt0(smndt0(smndt0(sK26(X0,X1,X2,X3,X4,X5,X6))),sz0z00) ),
inference(resolution,[],[f219,f415]) ).
fof(f3419,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(sK26(X0,X1,X2,X3,X4,X5,X6)))) ),
inference(resolution,[],[f219,f394]) ).
fof(f3418,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(smndt0(smndt0(sK26(X0,X1,X2,X3,X4,X5,X6))),sz0z00) ),
inference(resolution,[],[f219,f387]) ).
fof(f3417,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtpldt0(smndt0(smndt0(sK26(X0,X1,X2,X3,X4,X5,X6))),smndt0(sK26(X0,X1,X2,X3,X4,X5,X6))) ),
inference(resolution,[],[f219,f380]) ).
fof(f3416,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtpldt0(smndt0(sK26(X0,X1,X2,X3,X4,X5,X6)),smndt0(smndt0(sK26(X0,X1,X2,X3,X4,X5,X6)))) ),
inference(resolution,[],[f219,f373]) ).
fof(f3415,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| ~ aScalar0(X7)
| sz0z00 = sdtasdt0(sdtasdt0(sK26(X0,X1,X2,X3,X4,X5,X6),X7),sz0z00) ),
inference(resolution,[],[f219,f365]) ).
fof(f3414,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| ~ aScalar0(X7)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sK26(X0,X1,X2,X3,X4,X5,X6),X7)) ),
inference(resolution,[],[f219,f364]) ).
fof(f3413,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| ~ aScalar0(X7)
| sz0z00 = sdtasdt0(sdtpldt0(sK26(X0,X1,X2,X3,X4,X5,X6),X7),sz0z00) ),
inference(resolution,[],[f219,f358]) ).
fof(f3412,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| ~ aScalar0(X7)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sK26(X0,X1,X2,X3,X4,X5,X6),X7)) ),
inference(resolution,[],[f219,f357]) ).
fof(f3411,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtpldt0(smndt0(sK26(X0,X1,X2,X3,X4,X5,X6)),sK26(X0,X1,X2,X3,X4,X5,X6)) ),
inference(resolution,[],[f219,f350]) ).
fof(f3410,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtpldt0(sK26(X0,X1,X2,X3,X4,X5,X6),smndt0(sK26(X0,X1,X2,X3,X4,X5,X6))) ),
inference(resolution,[],[f219,f349]) ).
fof(f3409,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| smndt0(sK26(X0,X1,X2,X3,X4,X5,X6)) = smndt0(smndt0(smndt0(sK26(X0,X1,X2,X3,X4,X5,X6)))) ),
inference(resolution,[],[f219,f346]) ).
fof(f3408,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(sz0z00,smndt0(sK26(X0,X1,X2,X3,X4,X5,X6))) ),
inference(resolution,[],[f219,f343]) ).
fof(f3407,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(smndt0(sK26(X0,X1,X2,X3,X4,X5,X6)),sz0z00) ),
inference(resolution,[],[f219,f339]) ).
fof(f3406,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| smndt0(sK26(X0,X1,X2,X3,X4,X5,X6)) = sdtpldt0(sz0z00,smndt0(sK26(X0,X1,X2,X3,X4,X5,X6))) ),
inference(resolution,[],[f219,f336]) ).
fof(f3405,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| smndt0(sK26(X0,X1,X2,X3,X4,X5,X6)) = sdtpldt0(smndt0(sK26(X0,X1,X2,X3,X4,X5,X6)),sz0z00) ),
inference(resolution,[],[f219,f333]) ).
fof(f3404,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| sK26(X0,X1,X2,X3,X4,X5,X6) = smndt0(smndt0(sK26(X0,X1,X2,X3,X4,X5,X6))) ),
inference(resolution,[],[f219,f331]) ).
fof(f3403,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(sz0z00,sK26(X0,X1,X2,X3,X4,X5,X6)) ),
inference(resolution,[],[f219,f330]) ).
fof(f3402,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| sz0z00 = sdtasdt0(sK26(X0,X1,X2,X3,X4,X5,X6),sz0z00) ),
inference(resolution,[],[f219,f329]) ).
fof(f3401,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| sK26(X0,X1,X2,X3,X4,X5,X6) = sdtpldt0(sz0z00,sK26(X0,X1,X2,X3,X4,X5,X6)) ),
inference(resolution,[],[f219,f328]) ).
fof(f3400,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| sK26(X0,X1,X2,X3,X4,X5,X6) = sdtpldt0(sK26(X0,X1,X2,X3,X4,X5,X6),sz0z00) ),
inference(resolution,[],[f219,f327]) ).
fof(f3399,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| smndt0(sdtasdt0(X7,sK26(X0,X1,X2,X3,X4,X5,X6))) = sdtasdt0(smndt0(X7),sK26(X0,X1,X2,X3,X4,X5,X6))
| ~ aScalar0(X7) ),
inference(resolution,[],[f219,f282]) ).
fof(f3398,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| sdtasdt0(X7,smndt0(sK26(X0,X1,X2,X3,X4,X5,X6))) = smndt0(sdtasdt0(X7,sK26(X0,X1,X2,X3,X4,X5,X6)))
| ~ aScalar0(X7) ),
inference(resolution,[],[f219,f281]) ).
fof(f3397,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP4(X0,X1,X2,X3,X4,X5,X6)
| sdtasdt0(X7,sK26(X0,X1,X2,X3,X4,X5,X6)) = sdtasdt0(smndt0(X7),smndt0(sK26(X0,X1,X2,X3,X4,X5,X6)))
| ~ aScalar0(X7) ),
inference(resolution,[],[f219,f280]) ).
fof(f219,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( aScalar0(sK26(X0,X1,X2,X3,X4,X5,X6))
| ~ sP4(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[],[f162]) ).
fof(f214,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP6(X0,X1,X2,X3,X4)
| sdtasdt0(X4,X4) = sK24(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f154]) ).
fof(f3332,plain,
! [X2,X3,X0,X1] :
( sdtasasdt0(X0,X0) = sK22(X1,X0,sK21(X2,X3,X0,X1),X3,X2)
| ~ sP9(X2,X3,X0,X1) ),
inference(resolution,[],[f208,f206]) ).
fof(f208,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP8(X0,X1,X2,X3,X4)
| sdtasasdt0(X1,X1) = sK22(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f146]) ).
fof(f3309,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(subsumption_resolution,[],[f3308,f278]) ).
fof(f3308,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(sdtpldt0(X1,X2))
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(subsumption_resolution,[],[f3298,f244]) ).
fof(f3298,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(sdtpldt0(X1,X2))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(resolution,[],[f294,f286]) ).
fof(f3307,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(subsumption_resolution,[],[f3306,f279]) ).
fof(f3306,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(subsumption_resolution,[],[f3297,f244]) ).
fof(f3297,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(resolution,[],[f294,f287]) ).
fof(f3305,plain,
! [X0,X1] :
( sdtlseqdt0(X0,sdtasdt0(X1,X1))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(subsumption_resolution,[],[f3304,f279]) ).
fof(f3304,plain,
! [X0,X1] :
( sdtlseqdt0(X0,sdtasdt0(X1,X1))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(sdtasdt0(X1,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(subsumption_resolution,[],[f3296,f244]) ).
fof(f3296,plain,
! [X0,X1] :
( sdtlseqdt0(X0,sdtasdt0(X1,X1))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(sdtasdt0(X1,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(resolution,[],[f294,f260]) ).
fof(f3303,plain,
! [X0,X1] :
( sdtlseqdt0(X0,sdtasasdt0(X1,X1))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(X0)
| ~ aVector0(X1) ),
inference(subsumption_resolution,[],[f3302,f1162]) ).
fof(f3302,plain,
! [X0,X1] :
( sdtlseqdt0(X0,sdtasasdt0(X1,X1))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(sdtasasdt0(X1,X1))
| ~ aScalar0(X0)
| ~ aVector0(X1) ),
inference(subsumption_resolution,[],[f3295,f244]) ).
fof(f3295,plain,
! [X0,X1] :
( sdtlseqdt0(X0,sdtasasdt0(X1,X1))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(sdtasasdt0(X1,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ aVector0(X1) ),
inference(resolution,[],[f294,f249]) ).
fof(f3299,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X2) ),
inference(duplicate_literal_removal,[],[f3294]) ).
fof(f3294,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(resolution,[],[f294,f283]) ).
fof(f3300,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X2) ),
inference(duplicate_literal_removal,[],[f3293]) ).
fof(f3293,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(resolution,[],[f294,f283]) ).
fof(f294,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETrn) ).
fof(f3269,plain,
! [X0,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtasdt0(X1,X0)
| ~ sdtlseqdt0(sdtasdt0(X1,X0),sz0z00) ),
inference(subsumption_resolution,[],[f3268,f279]) ).
fof(f3268,plain,
! [X0,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtasdt0(X1,X0)
| ~ sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sdtasdt0(X1,X0)) ),
inference(subsumption_resolution,[],[f3191,f244]) ).
fof(f3191,plain,
! [X0,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtasdt0(X1,X0)
| ~ sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtasdt0(X1,X0)) ),
inference(resolution,[],[f287,f284]) ).
fof(f287,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) )
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) )
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X0) )
=> ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPosMon) ).
fof(f191,plain,
( sziznziztdt0(xs) = sK17
| ~ sP13 ),
inference(cnf_transformation,[],[f127]) ).
fof(f2821,plain,
( sP14(xs,sK17)
| ~ sP15(xs)
| ~ spl33_1 ),
inference(superposition,[],[f298,f2819]) ).
fof(f2854,plain,
( aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sK17))
| ~ spl33_1 ),
inference(subsumption_resolution,[],[f189,f302]) ).
fof(f2853,plain,
( sz0z00 = sdtasdt0(sK19(sziznziztdt0(xt),sK17),sz0z00)
| ~ spl33_1 ),
inference(resolution,[],[f2824,f340]) ).
fof(f2852,plain,
( sz0z00 = sdtasdt0(sz0z00,sK19(sziznziztdt0(xt),sK17))
| ~ spl33_1 ),
inference(resolution,[],[f2824,f344]) ).
fof(f2851,plain,
( sz0z00 = sdtasdt0(smndt0(sK19(sziznziztdt0(xt),sK17)),sz0z00)
| ~ spl33_1 ),
inference(resolution,[],[f2824,f389]) ).
fof(f2850,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(sK19(sziznziztdt0(xt),sK17)))
| ~ spl33_1 ),
inference(resolution,[],[f2824,f396]) ).
fof(f2824,plain,
( sP11(sziznziztdt0(xt),sK17)
| ~ spl33_1 ),
inference(subsumption_resolution,[],[f2822,f2783]) ).
fof(f2822,plain,
( sP11(sziznziztdt0(xt),sK17)
| ~ sP12(sK17)
| ~ spl33_1 ),
inference(superposition,[],[f197,f2785]) ).
fof(f2849,plain,
( sz0z00 = sdtasdt0(sdtasdt0(sz0z00,sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt))),sz0z00)
| ~ spl33_1 ),
inference(resolution,[],[f2825,f1203]) ).
fof(f2848,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt))))
| ~ spl33_1 ),
inference(resolution,[],[f2825,f1200]) ).
fof(f2847,plain,
( sz0z00 = sdtasdt0(sdtpldt0(sz0z00,sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt))),sz0z00)
| ~ spl33_1 ),
inference(resolution,[],[f2825,f1197]) ).
fof(f2846,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt))))
| ~ spl33_1 ),
inference(resolution,[],[f2825,f1194]) ).
fof(f2845,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)))))
| ~ spl33_1 ),
inference(resolution,[],[f2825,f1186]) ).
fof(f2844,plain,
( sz0z00 = sdtasdt0(smndt0(smndt0(sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)))),sz0z00)
| ~ spl33_1 ),
inference(resolution,[],[f2825,f1185]) ).
fof(f2843,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt))))
| ~ spl33_1 ),
inference(resolution,[],[f2825,f1175]) ).
fof(f2842,plain,
( sz0z00 = sdtasdt0(smndt0(sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt))),sz0z00)
| ~ spl33_1 ),
inference(resolution,[],[f2825,f1174]) ).
fof(f2841,plain,
( sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)) = smndt0(smndt0(sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt))))
| ~ spl33_1 ),
inference(resolution,[],[f2825,f1171]) ).
fof(f2840,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)))
| ~ spl33_1 ),
inference(resolution,[],[f2825,f1170]) ).
fof(f2839,plain,
( sz0z00 = sdtasdt0(sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)),sz0z00)
| ~ spl33_1 ),
inference(resolution,[],[f2825,f1169]) ).
fof(f2838,plain,
( sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)) = sdtpldt0(sz0z00,sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)))
| ~ spl33_1 ),
inference(resolution,[],[f2825,f1168]) ).
fof(f2837,plain,
( sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)) = sdtpldt0(sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)),sz0z00)
| ~ spl33_1 ),
inference(resolution,[],[f2825,f1167]) ).
fof(f2836,plain,
( sz0z00 = sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt)))),sz0z00)
| ~ spl33_1 ),
inference(resolution,[],[f2825,f721]) ).
fof(f2835,plain,
( sz0z00 = sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt)))),sz0z00)
| ~ spl33_1 ),
inference(resolution,[],[f2825,f705]) ).
fof(f2834,plain,
( sz0z00 = sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(sziznziztdt0(xt))),sz0z00)
| ~ spl33_1 ),
inference(resolution,[],[f2825,f691]) ).
fof(f2833,plain,
( sz0z00 = sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(sziznziztdt0(xt))),sz0z00)
| ~ spl33_1 ),
inference(resolution,[],[f2825,f681]) ).
fof(f2832,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt)))))
| ~ spl33_1 ),
inference(resolution,[],[f2825,f657]) ).
fof(f2831,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt)))))
| ~ spl33_1 ),
inference(resolution,[],[f2825,f641]) ).
fof(f2830,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xt,aDimensionOf0(sziznziztdt0(xt))))
| ~ spl33_1 ),
inference(resolution,[],[f2825,f627]) ).
fof(f2829,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xs,aDimensionOf0(sziznziztdt0(xt))))
| ~ spl33_1 ),
inference(resolution,[],[f2825,f617]) ).
fof(f2828,plain,
( szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = szszuzczcdt0(sK32(szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt)))))
| ~ spl33_1 ),
inference(resolution,[],[f2825,f462]) ).
fof(f2827,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz0z00 = sdtasdt0(sdtlbdtrb0(sziznziztdt0(xt),X0),sz0z00) )
| ~ spl33_1 ),
inference(resolution,[],[f2825,f353]) ).
fof(f2826,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(sziznziztdt0(xt),X0)) )
| ~ spl33_1 ),
inference(resolution,[],[f2825,f352]) ).
fof(f2825,plain,
( aVector0(sziznziztdt0(xt))
| ~ spl33_1 ),
inference(subsumption_resolution,[],[f2823,f2783]) ).
fof(f2823,plain,
( aVector0(sziznziztdt0(xt))
| ~ sP12(sK17)
| ~ spl33_1 ),
inference(superposition,[],[f193,f2785]) ).
fof(f2785,plain,
( sziznziztdt0(xt) = sK18(sK17)
| ~ spl33_1 ),
inference(resolution,[],[f2783,f196]) ).
fof(f2819,plain,
( sziznziztdt0(xs) = sK17
| ~ spl33_1 ),
inference(subsumption_resolution,[],[f191,f302]) ).
fof(f2806,plain,
szszuzczcdt0(szszuzczcdt0(aDimensionOf0(xs))) = szszuzczcdt0(sK32(szszuzczcdt0(szszuzczcdt0(aDimensionOf0(xs))))),
inference(resolution,[],[f2800,f461]) ).
fof(f2804,plain,
( sz00 = aDimensionOf0(xs)
| aDimensionOf0(xs) = szszuzczcdt0(sK32(aDimensionOf0(xs))) ),
inference(resolution,[],[f2800,f271]) ).
fof(f2800,plain,
aNaturalNumber0(aDimensionOf0(xs)),
inference(subsumption_resolution,[],[f2796,f241]) ).
fof(f2796,plain,
( aNaturalNumber0(aDimensionOf0(xs))
| ~ aVector0(xt) ),
inference(superposition,[],[f248,f239]) ).
fof(f2801,plain,
! [X0] :
( aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(xs))
| aNaturalNumber0(sK31(X0,xt))
| sP14(X0,xt) ),
inference(subsumption_resolution,[],[f2797,f241]) ).
fof(f2797,plain,
! [X0] :
( aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(xs))
| aNaturalNumber0(sK31(X0,xt))
| sP14(X0,xt)
| ~ aVector0(xt) ),
inference(superposition,[],[f255,f239]) ).
fof(f239,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1678_01) ).
fof(f2795,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasasdt0(sK18(sK17),sK18(sK17)))
| ~ spl33_1 ),
inference(resolution,[],[f2783,f1412]) ).
fof(f2794,plain,
( sz0z00 = sdtasdt0(sdtasasdt0(sK18(sK17),sK18(sK17)),sz0z00)
| ~ spl33_1 ),
inference(resolution,[],[f2783,f1406]) ).
fof(f2793,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(sK19(sK18(sK17),sK17)))
| ~ spl33_1 ),
inference(resolution,[],[f2783,f873]) ).
fof(f2792,plain,
( sz0z00 = sdtasdt0(smndt0(sK19(sK18(sK17),sK17)),sz0z00)
| ~ spl33_1 ),
inference(resolution,[],[f2783,f872]) ).
fof(f2791,plain,
( sz0z00 = sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(sK18(sK17))),sz0z00)
| ~ spl33_1 ),
inference(resolution,[],[f2783,f730]) ).
fof(f2790,plain,
( sz0z00 = sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(sK18(sK17))),sz0z00)
| ~ spl33_1 ),
inference(resolution,[],[f2783,f714]) ).
fof(f2789,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xt,aDimensionOf0(sK18(sK17))))
| ~ spl33_1 ),
inference(resolution,[],[f2783,f666]) ).
fof(f2788,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xs,aDimensionOf0(sK18(sK17))))
| ~ spl33_1 ),
inference(resolution,[],[f2783,f650]) ).
fof(f2787,plain,
( sz0z00 = sdtasdt0(sz0z00,sK19(sK18(sK17),sK17))
| ~ spl33_1 ),
inference(resolution,[],[f2783,f563]) ).
fof(f2786,plain,
( sz0z00 = sdtasdt0(sK19(sK18(sK17),sK17),sz0z00)
| ~ spl33_1 ),
inference(resolution,[],[f2783,f562]) ).
fof(f2784,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(xt,X0) = sdtlbdtrb0(sK18(sK17),X0) )
| ~ spl33_1 ),
inference(resolution,[],[f2783,f195]) ).
fof(f2783,plain,
( sP12(sK17)
| ~ spl33_1 ),
inference(subsumption_resolution,[],[f192,f302]) ).
fof(f302,plain,
( sP13
| ~ spl33_1 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f301,plain,
( spl33_1
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1])]) ).
fof(f194,plain,
! [X0] :
( aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(sK18(X0)))
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ( sP11(sK18(X0),X0)
& sziznziztdt0(xt) = sK18(X0)
& ! [X2] :
( sdtlbdtrb0(xt,X2) = sdtlbdtrb0(sK18(X0),X2)
| ~ aNaturalNumber0(X2) )
& aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(sK18(X0)))
& aVector0(sK18(X0)) )
| ~ sP12(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f129,f130]) ).
fof(f130,plain,
! [X0] :
( ? [X1] :
( sP11(X1,X0)
& sziznziztdt0(xt) = X1
& ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(xt,X2)
| ~ aNaturalNumber0(X2) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt)
& aVector0(X1) )
=> ( sP11(sK18(X0),X0)
& sziznziztdt0(xt) = sK18(X0)
& ! [X2] :
( sdtlbdtrb0(xt,X2) = sdtlbdtrb0(sK18(X0),X2)
| ~ aNaturalNumber0(X2) )
& aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(sK18(X0)))
& aVector0(sK18(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
! [X0] :
( ? [X1] :
( sP11(X1,X0)
& sziznziztdt0(xt) = X1
& ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(xt,X2)
| ~ aNaturalNumber0(X2) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt)
& aVector0(X1) )
| ~ sP12(X0) ),
inference(rectify,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ? [X1] :
( sP11(X1,X0)
& sziznziztdt0(xt) = X1
& ! [X14] :
( sdtlbdtrb0(X1,X14) = sdtlbdtrb0(xt,X14)
| ~ aNaturalNumber0(X14) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xt)
& aVector0(X1) )
| ~ sP12(X0) ),
inference(nnf_transformation,[],[f116]) ).
fof(f649,plain,
sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xs,aDimensionOf0(xt))),
inference(resolution,[],[f617,f241]) ).
fof(f665,plain,
sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xt,aDimensionOf0(xt))),
inference(resolution,[],[f627,f241]) ).
fof(f713,plain,
sz0z00 = sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xt)),sz0z00),
inference(resolution,[],[f681,f241]) ).
fof(f729,plain,
sz0z00 = sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xt)),sz0z00),
inference(resolution,[],[f691,f241]) ).
fof(f868,plain,
szszuzczcdt0(aDimensionOf0(xt)) = szszuzczcdt0(sK32(szszuzczcdt0(aDimensionOf0(xt)))),
inference(resolution,[],[f462,f241]) ).
fof(f202,plain,
! [X2,X0,X1] :
( sdtlbdtrb0(xt,aDimensionOf0(xt)) = sK20(X0,X1,X2)
| ~ sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0,X1,X2] :
( ( sP9(X2,sK20(X0,X1,X2),X1,X0)
& sdtlbdtrb0(xt,aDimensionOf0(xt)) = sK20(X0,X1,X2)
& aScalar0(sK20(X0,X1,X2)) )
| ~ sP10(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f136,f137]) ).
fof(f137,plain,
! [X0,X1,X2] :
( ? [X3] :
( sP9(X2,X3,X1,X0)
& sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
& aScalar0(X3) )
=> ( sP9(X2,sK20(X0,X1,X2),X1,X0)
& sdtlbdtrb0(xt,aDimensionOf0(xt)) = sK20(X0,X1,X2)
& aScalar0(sK20(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
! [X0,X1,X2] :
( ? [X3] :
( sP9(X2,X3,X1,X0)
& sdtlbdtrb0(xt,aDimensionOf0(xt)) = X3
& aScalar0(X3) )
| ~ sP10(X0,X1,X2) ),
inference(nnf_transformation,[],[f114]) ).
fof(f926,plain,
sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xt)))),
inference(resolution,[],[f641,f241]) ).
fof(f976,plain,
sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xt)))),
inference(resolution,[],[f657,f241]) ).
fof(f993,plain,
sz0z00 = sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(xt))),sz0z00),
inference(resolution,[],[f705,f241]) ).
fof(f1010,plain,
sz0z00 = sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(xt))),sz0z00),
inference(resolution,[],[f721,f241]) ).
fof(f2622,plain,
! [X0,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtpldt0(X1,X0)
| ~ sdtlseqdt0(sdtpldt0(X1,X0),sz0z00) ),
inference(subsumption_resolution,[],[f2621,f278]) ).
fof(f2621,plain,
! [X0,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtpldt0(X1,X0)
| ~ sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(sdtpldt0(X1,X0)) ),
inference(subsumption_resolution,[],[f2606,f244]) ).
fof(f2606,plain,
! [X0,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtpldt0(X1,X0)
| ~ sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtpldt0(X1,X0)) ),
inference(resolution,[],[f286,f284]) ).
fof(f286,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f255,plain,
! [X0,X1] :
( aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| aNaturalNumber0(sK31(X0,X1))
| sP14(X0,X1)
| ~ aVector0(X1) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0,X1] :
( ( sP14(X0,X1)
| ( sdtlbdtrb0(X1,sK31(X0,X1)) != sdtlbdtrb0(X0,sK31(X0,X1))
& aNaturalNumber0(sK31(X0,X1)) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) )
& ( ( ! [X3] :
( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
| ~ aNaturalNumber0(X3) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) )
| ~ sP14(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31])],[f182,f183]) ).
fof(f183,plain,
! [X0,X1] :
( ? [X2] :
( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
& aNaturalNumber0(X2) )
=> ( sdtlbdtrb0(X1,sK31(X0,X1)) != sdtlbdtrb0(X0,sK31(X0,X1))
& aNaturalNumber0(sK31(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f182,plain,
! [X0,X1] :
( ( sP14(X0,X1)
| ? [X2] :
( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
& aNaturalNumber0(X2) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) )
& ( ( ! [X3] :
( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
| ~ aNaturalNumber0(X3) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) )
| ~ sP14(X0,X1) ) ),
inference(rectify,[],[f181]) ).
fof(f181,plain,
! [X0,X1] :
( ( sP14(X0,X1)
| ? [X2] :
( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
& aNaturalNumber0(X2) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) )
& ( ( ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) )
| ~ sP14(X0,X1) ) ),
inference(flattening,[],[f180]) ).
fof(f180,plain,
! [X0,X1] :
( ( sP14(X0,X1)
| ? [X2] :
( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
& aNaturalNumber0(X2) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) )
& ( ( ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) )
| ~ sP14(X0,X1) ) ),
inference(nnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1] :
( sP14(X0,X1)
<=> ( ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f2562,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| sdtasdt0(smndt0(sK27(X0,X1,X2,X3,X4,X5)),sz0z00) = smndt0(sdtasdt0(sK27(X0,X1,X2,X3,X4,X5),sz0z00)) ),
inference(resolution,[],[f222,f1530]) ).
fof(f2559,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(sK27(X0,X1,X2,X3,X4,X5)))),sz0z00) ),
inference(resolution,[],[f222,f849]) ).
fof(f2558,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sdtasdt0(sz0z00,smndt0(sK27(X0,X1,X2,X3,X4,X5))),sz0z00) ),
inference(resolution,[],[f222,f840]) ).
fof(f2557,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sdtasdt0(sz0z00,sK27(X0,X1,X2,X3,X4,X5)),sz0z00) ),
inference(resolution,[],[f222,f829]) ).
fof(f2556,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(sK27(X0,X1,X2,X3,X4,X5))))) ),
inference(resolution,[],[f222,f822]) ).
fof(f2555,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(sK27(X0,X1,X2,X3,X4,X5)))) ),
inference(resolution,[],[f222,f813]) ).
fof(f2554,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,sK27(X0,X1,X2,X3,X4,X5))) ),
inference(resolution,[],[f222,f792]) ).
fof(f2553,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sdtpldt0(sz0z00,smndt0(smndt0(sK27(X0,X1,X2,X3,X4,X5)))),sz0z00) ),
inference(resolution,[],[f222,f785]) ).
fof(f2552,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sdtpldt0(sz0z00,smndt0(sK27(X0,X1,X2,X3,X4,X5))),sz0z00) ),
inference(resolution,[],[f222,f776]) ).
fof(f2551,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sdtpldt0(sz0z00,sK27(X0,X1,X2,X3,X4,X5)),sz0z00) ),
inference(resolution,[],[f222,f765]) ).
fof(f2550,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,smndt0(smndt0(sK27(X0,X1,X2,X3,X4,X5))))) ),
inference(resolution,[],[f222,f758]) ).
fof(f2549,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,smndt0(sK27(X0,X1,X2,X3,X4,X5)))) ),
inference(resolution,[],[f222,f749]) ).
fof(f2548,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,sK27(X0,X1,X2,X3,X4,X5))) ),
inference(resolution,[],[f222,f738]) ).
fof(f2547,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(smndt0(sK27(X0,X1,X2,X3,X4,X5)))))) ),
inference(resolution,[],[f222,f599]) ).
fof(f2546,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(smndt0(smndt0(smndt0(smndt0(sK27(X0,X1,X2,X3,X4,X5))))),sz0z00) ),
inference(resolution,[],[f222,f588]) ).
fof(f2545,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sK27(X0,X1,X2,X3,X4,X5))))) ),
inference(resolution,[],[f222,f449]) ).
fof(f2544,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(smndt0(smndt0(smndt0(sK27(X0,X1,X2,X3,X4,X5)))),sz0z00) ),
inference(resolution,[],[f222,f440]) ).
fof(f2543,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| smndt0(smndt0(sK27(X0,X1,X2,X3,X4,X5))) = smndt0(smndt0(smndt0(smndt0(sK27(X0,X1,X2,X3,X4,X5))))) ),
inference(resolution,[],[f222,f431]) ).
fof(f2542,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| smndt0(smndt0(sK27(X0,X1,X2,X3,X4,X5))) = sdtpldt0(sz0z00,smndt0(smndt0(sK27(X0,X1,X2,X3,X4,X5)))) ),
inference(resolution,[],[f222,f423]) ).
fof(f2541,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| smndt0(smndt0(sK27(X0,X1,X2,X3,X4,X5))) = sdtpldt0(smndt0(smndt0(sK27(X0,X1,X2,X3,X4,X5))),sz0z00) ),
inference(resolution,[],[f222,f415]) ).
fof(f2540,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(sK27(X0,X1,X2,X3,X4,X5)))) ),
inference(resolution,[],[f222,f394]) ).
fof(f2539,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(smndt0(smndt0(sK27(X0,X1,X2,X3,X4,X5))),sz0z00) ),
inference(resolution,[],[f222,f387]) ).
fof(f2538,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtpldt0(smndt0(smndt0(sK27(X0,X1,X2,X3,X4,X5))),smndt0(sK27(X0,X1,X2,X3,X4,X5))) ),
inference(resolution,[],[f222,f380]) ).
fof(f2537,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtpldt0(smndt0(sK27(X0,X1,X2,X3,X4,X5)),smndt0(smndt0(sK27(X0,X1,X2,X3,X4,X5)))) ),
inference(resolution,[],[f222,f373]) ).
fof(f2536,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| ~ aScalar0(X6)
| sz0z00 = sdtasdt0(sdtasdt0(sK27(X0,X1,X2,X3,X4,X5),X6),sz0z00) ),
inference(resolution,[],[f222,f365]) ).
fof(f2535,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| ~ aScalar0(X6)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sK27(X0,X1,X2,X3,X4,X5),X6)) ),
inference(resolution,[],[f222,f364]) ).
fof(f2534,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| ~ aScalar0(X6)
| sz0z00 = sdtasdt0(sdtpldt0(sK27(X0,X1,X2,X3,X4,X5),X6),sz0z00) ),
inference(resolution,[],[f222,f358]) ).
fof(f2533,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| ~ aScalar0(X6)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sK27(X0,X1,X2,X3,X4,X5),X6)) ),
inference(resolution,[],[f222,f357]) ).
fof(f2532,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtpldt0(smndt0(sK27(X0,X1,X2,X3,X4,X5)),sK27(X0,X1,X2,X3,X4,X5)) ),
inference(resolution,[],[f222,f350]) ).
fof(f2531,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtpldt0(sK27(X0,X1,X2,X3,X4,X5),smndt0(sK27(X0,X1,X2,X3,X4,X5))) ),
inference(resolution,[],[f222,f349]) ).
fof(f2530,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| smndt0(sK27(X0,X1,X2,X3,X4,X5)) = smndt0(smndt0(smndt0(sK27(X0,X1,X2,X3,X4,X5)))) ),
inference(resolution,[],[f222,f346]) ).
fof(f2529,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sz0z00,smndt0(sK27(X0,X1,X2,X3,X4,X5))) ),
inference(resolution,[],[f222,f343]) ).
fof(f2528,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(smndt0(sK27(X0,X1,X2,X3,X4,X5)),sz0z00) ),
inference(resolution,[],[f222,f339]) ).
fof(f2527,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| smndt0(sK27(X0,X1,X2,X3,X4,X5)) = sdtpldt0(sz0z00,smndt0(sK27(X0,X1,X2,X3,X4,X5))) ),
inference(resolution,[],[f222,f336]) ).
fof(f2526,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| smndt0(sK27(X0,X1,X2,X3,X4,X5)) = sdtpldt0(smndt0(sK27(X0,X1,X2,X3,X4,X5)),sz0z00) ),
inference(resolution,[],[f222,f333]) ).
fof(f2525,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| sK27(X0,X1,X2,X3,X4,X5) = smndt0(smndt0(sK27(X0,X1,X2,X3,X4,X5))) ),
inference(resolution,[],[f222,f331]) ).
fof(f2524,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sz0z00,sK27(X0,X1,X2,X3,X4,X5)) ),
inference(resolution,[],[f222,f330]) ).
fof(f2523,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sK27(X0,X1,X2,X3,X4,X5),sz0z00) ),
inference(resolution,[],[f222,f329]) ).
fof(f2522,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| sK27(X0,X1,X2,X3,X4,X5) = sdtpldt0(sz0z00,sK27(X0,X1,X2,X3,X4,X5)) ),
inference(resolution,[],[f222,f328]) ).
fof(f2521,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| sK27(X0,X1,X2,X3,X4,X5) = sdtpldt0(sK27(X0,X1,X2,X3,X4,X5),sz0z00) ),
inference(resolution,[],[f222,f327]) ).
fof(f2520,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| smndt0(sdtasdt0(X6,sK27(X0,X1,X2,X3,X4,X5))) = sdtasdt0(smndt0(X6),sK27(X0,X1,X2,X3,X4,X5))
| ~ aScalar0(X6) ),
inference(resolution,[],[f222,f282]) ).
fof(f2519,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| sdtasdt0(X6,smndt0(sK27(X0,X1,X2,X3,X4,X5))) = smndt0(sdtasdt0(X6,sK27(X0,X1,X2,X3,X4,X5)))
| ~ aScalar0(X6) ),
inference(resolution,[],[f222,f281]) ).
fof(f2518,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| sdtasdt0(X6,sK27(X0,X1,X2,X3,X4,X5)) = sdtasdt0(smndt0(X6),smndt0(sK27(X0,X1,X2,X3,X4,X5)))
| ~ aScalar0(X6) ),
inference(resolution,[],[f222,f280]) ).
fof(f222,plain,
! [X2,X3,X0,X1,X4,X5] :
( aScalar0(sK27(X0,X1,X2,X3,X4,X5))
| ~ sP3(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f166]) ).
fof(f2499,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| sdtasdt0(smndt0(sK25(X0,X1,X2,X3,X4,X5)),sz0z00) = smndt0(sdtasdt0(sK25(X0,X1,X2,X3,X4,X5),sz0z00)) ),
inference(resolution,[],[f216,f1530]) ).
fof(f2496,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(sK25(X0,X1,X2,X3,X4,X5)))),sz0z00) ),
inference(resolution,[],[f216,f849]) ).
fof(f2495,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sdtasdt0(sz0z00,smndt0(sK25(X0,X1,X2,X3,X4,X5))),sz0z00) ),
inference(resolution,[],[f216,f840]) ).
fof(f2494,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sdtasdt0(sz0z00,sK25(X0,X1,X2,X3,X4,X5)),sz0z00) ),
inference(resolution,[],[f216,f829]) ).
fof(f2493,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(sK25(X0,X1,X2,X3,X4,X5))))) ),
inference(resolution,[],[f216,f822]) ).
fof(f2492,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(sK25(X0,X1,X2,X3,X4,X5)))) ),
inference(resolution,[],[f216,f813]) ).
fof(f2491,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,sK25(X0,X1,X2,X3,X4,X5))) ),
inference(resolution,[],[f216,f792]) ).
fof(f2490,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sdtpldt0(sz0z00,smndt0(smndt0(sK25(X0,X1,X2,X3,X4,X5)))),sz0z00) ),
inference(resolution,[],[f216,f785]) ).
fof(f2489,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sdtpldt0(sz0z00,smndt0(sK25(X0,X1,X2,X3,X4,X5))),sz0z00) ),
inference(resolution,[],[f216,f776]) ).
fof(f2488,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sdtpldt0(sz0z00,sK25(X0,X1,X2,X3,X4,X5)),sz0z00) ),
inference(resolution,[],[f216,f765]) ).
fof(f2487,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,smndt0(smndt0(sK25(X0,X1,X2,X3,X4,X5))))) ),
inference(resolution,[],[f216,f758]) ).
fof(f2486,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,smndt0(sK25(X0,X1,X2,X3,X4,X5)))) ),
inference(resolution,[],[f216,f749]) ).
fof(f2485,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,sK25(X0,X1,X2,X3,X4,X5))) ),
inference(resolution,[],[f216,f738]) ).
fof(f2484,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(smndt0(sK25(X0,X1,X2,X3,X4,X5)))))) ),
inference(resolution,[],[f216,f599]) ).
fof(f2483,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(smndt0(smndt0(smndt0(smndt0(sK25(X0,X1,X2,X3,X4,X5))))),sz0z00) ),
inference(resolution,[],[f216,f588]) ).
fof(f2482,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sK25(X0,X1,X2,X3,X4,X5))))) ),
inference(resolution,[],[f216,f449]) ).
fof(f2481,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(smndt0(smndt0(smndt0(sK25(X0,X1,X2,X3,X4,X5)))),sz0z00) ),
inference(resolution,[],[f216,f440]) ).
fof(f2480,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| smndt0(smndt0(sK25(X0,X1,X2,X3,X4,X5))) = smndt0(smndt0(smndt0(smndt0(sK25(X0,X1,X2,X3,X4,X5))))) ),
inference(resolution,[],[f216,f431]) ).
fof(f2479,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| smndt0(smndt0(sK25(X0,X1,X2,X3,X4,X5))) = sdtpldt0(sz0z00,smndt0(smndt0(sK25(X0,X1,X2,X3,X4,X5)))) ),
inference(resolution,[],[f216,f423]) ).
fof(f2478,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| smndt0(smndt0(sK25(X0,X1,X2,X3,X4,X5))) = sdtpldt0(smndt0(smndt0(sK25(X0,X1,X2,X3,X4,X5))),sz0z00) ),
inference(resolution,[],[f216,f415]) ).
fof(f2477,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(sK25(X0,X1,X2,X3,X4,X5)))) ),
inference(resolution,[],[f216,f394]) ).
fof(f2476,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(smndt0(smndt0(sK25(X0,X1,X2,X3,X4,X5))),sz0z00) ),
inference(resolution,[],[f216,f387]) ).
fof(f2475,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtpldt0(smndt0(smndt0(sK25(X0,X1,X2,X3,X4,X5))),smndt0(sK25(X0,X1,X2,X3,X4,X5))) ),
inference(resolution,[],[f216,f380]) ).
fof(f2474,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtpldt0(smndt0(sK25(X0,X1,X2,X3,X4,X5)),smndt0(smndt0(sK25(X0,X1,X2,X3,X4,X5)))) ),
inference(resolution,[],[f216,f373]) ).
fof(f2473,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| ~ aScalar0(X6)
| sz0z00 = sdtasdt0(sdtasdt0(sK25(X0,X1,X2,X3,X4,X5),X6),sz0z00) ),
inference(resolution,[],[f216,f365]) ).
fof(f2472,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| ~ aScalar0(X6)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sK25(X0,X1,X2,X3,X4,X5),X6)) ),
inference(resolution,[],[f216,f364]) ).
fof(f2471,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| ~ aScalar0(X6)
| sz0z00 = sdtasdt0(sdtpldt0(sK25(X0,X1,X2,X3,X4,X5),X6),sz0z00) ),
inference(resolution,[],[f216,f358]) ).
fof(f2470,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| ~ aScalar0(X6)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sK25(X0,X1,X2,X3,X4,X5),X6)) ),
inference(resolution,[],[f216,f357]) ).
fof(f2469,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtpldt0(smndt0(sK25(X0,X1,X2,X3,X4,X5)),sK25(X0,X1,X2,X3,X4,X5)) ),
inference(resolution,[],[f216,f350]) ).
fof(f2468,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtpldt0(sK25(X0,X1,X2,X3,X4,X5),smndt0(sK25(X0,X1,X2,X3,X4,X5))) ),
inference(resolution,[],[f216,f349]) ).
fof(f2467,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| smndt0(sK25(X0,X1,X2,X3,X4,X5)) = smndt0(smndt0(smndt0(sK25(X0,X1,X2,X3,X4,X5)))) ),
inference(resolution,[],[f216,f346]) ).
fof(f2466,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sz0z00,smndt0(sK25(X0,X1,X2,X3,X4,X5))) ),
inference(resolution,[],[f216,f343]) ).
fof(f2465,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(smndt0(sK25(X0,X1,X2,X3,X4,X5)),sz0z00) ),
inference(resolution,[],[f216,f339]) ).
fof(f2464,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| smndt0(sK25(X0,X1,X2,X3,X4,X5)) = sdtpldt0(sz0z00,smndt0(sK25(X0,X1,X2,X3,X4,X5))) ),
inference(resolution,[],[f216,f336]) ).
fof(f2463,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| smndt0(sK25(X0,X1,X2,X3,X4,X5)) = sdtpldt0(smndt0(sK25(X0,X1,X2,X3,X4,X5)),sz0z00) ),
inference(resolution,[],[f216,f333]) ).
fof(f2462,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| sK25(X0,X1,X2,X3,X4,X5) = smndt0(smndt0(sK25(X0,X1,X2,X3,X4,X5))) ),
inference(resolution,[],[f216,f331]) ).
fof(f2461,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sz0z00,sK25(X0,X1,X2,X3,X4,X5)) ),
inference(resolution,[],[f216,f330]) ).
fof(f2460,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sK25(X0,X1,X2,X3,X4,X5),sz0z00) ),
inference(resolution,[],[f216,f329]) ).
fof(f2459,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| sK25(X0,X1,X2,X3,X4,X5) = sdtpldt0(sz0z00,sK25(X0,X1,X2,X3,X4,X5)) ),
inference(resolution,[],[f216,f328]) ).
fof(f2458,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| sK25(X0,X1,X2,X3,X4,X5) = sdtpldt0(sK25(X0,X1,X2,X3,X4,X5),sz0z00) ),
inference(resolution,[],[f216,f327]) ).
fof(f2457,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| smndt0(sdtasdt0(X6,sK25(X0,X1,X2,X3,X4,X5))) = sdtasdt0(smndt0(X6),sK25(X0,X1,X2,X3,X4,X5))
| ~ aScalar0(X6) ),
inference(resolution,[],[f216,f282]) ).
fof(f2456,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| sdtasdt0(X6,smndt0(sK25(X0,X1,X2,X3,X4,X5))) = smndt0(sdtasdt0(X6,sK25(X0,X1,X2,X3,X4,X5)))
| ~ aScalar0(X6) ),
inference(resolution,[],[f216,f281]) ).
fof(f2455,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| sdtasdt0(X6,sK25(X0,X1,X2,X3,X4,X5)) = sdtasdt0(smndt0(X6),smndt0(sK25(X0,X1,X2,X3,X4,X5)))
| ~ aScalar0(X6) ),
inference(resolution,[],[f216,f280]) ).
fof(f216,plain,
! [X2,X3,X0,X1,X4,X5] :
( aScalar0(sK25(X0,X1,X2,X3,X4,X5))
| ~ sP5(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f158]) ).
fof(f2375,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| sdtasdt0(smndt0(sK23(X0,X1,X2,X3,X4,X5)),sz0z00) = smndt0(sdtasdt0(sK23(X0,X1,X2,X3,X4,X5),sz0z00)) ),
inference(resolution,[],[f210,f1530]) ).
fof(f2372,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(sK23(X0,X1,X2,X3,X4,X5)))),sz0z00) ),
inference(resolution,[],[f210,f849]) ).
fof(f2371,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sdtasdt0(sz0z00,smndt0(sK23(X0,X1,X2,X3,X4,X5))),sz0z00) ),
inference(resolution,[],[f210,f840]) ).
fof(f2370,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sdtasdt0(sz0z00,sK23(X0,X1,X2,X3,X4,X5)),sz0z00) ),
inference(resolution,[],[f210,f829]) ).
fof(f2369,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(sK23(X0,X1,X2,X3,X4,X5))))) ),
inference(resolution,[],[f210,f822]) ).
fof(f2368,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(sK23(X0,X1,X2,X3,X4,X5)))) ),
inference(resolution,[],[f210,f813]) ).
fof(f2367,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,sK23(X0,X1,X2,X3,X4,X5))) ),
inference(resolution,[],[f210,f792]) ).
fof(f2366,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sdtpldt0(sz0z00,smndt0(smndt0(sK23(X0,X1,X2,X3,X4,X5)))),sz0z00) ),
inference(resolution,[],[f210,f785]) ).
fof(f2365,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sdtpldt0(sz0z00,smndt0(sK23(X0,X1,X2,X3,X4,X5))),sz0z00) ),
inference(resolution,[],[f210,f776]) ).
fof(f2364,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sdtpldt0(sz0z00,sK23(X0,X1,X2,X3,X4,X5)),sz0z00) ),
inference(resolution,[],[f210,f765]) ).
fof(f2363,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,smndt0(smndt0(sK23(X0,X1,X2,X3,X4,X5))))) ),
inference(resolution,[],[f210,f758]) ).
fof(f2362,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,smndt0(sK23(X0,X1,X2,X3,X4,X5)))) ),
inference(resolution,[],[f210,f749]) ).
fof(f2361,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,sK23(X0,X1,X2,X3,X4,X5))) ),
inference(resolution,[],[f210,f738]) ).
fof(f2360,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(smndt0(sK23(X0,X1,X2,X3,X4,X5)))))) ),
inference(resolution,[],[f210,f599]) ).
fof(f2359,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(smndt0(smndt0(smndt0(smndt0(sK23(X0,X1,X2,X3,X4,X5))))),sz0z00) ),
inference(resolution,[],[f210,f588]) ).
fof(f2358,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sK23(X0,X1,X2,X3,X4,X5))))) ),
inference(resolution,[],[f210,f449]) ).
fof(f2357,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(smndt0(smndt0(smndt0(sK23(X0,X1,X2,X3,X4,X5)))),sz0z00) ),
inference(resolution,[],[f210,f440]) ).
fof(f2356,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| smndt0(smndt0(sK23(X0,X1,X2,X3,X4,X5))) = smndt0(smndt0(smndt0(smndt0(sK23(X0,X1,X2,X3,X4,X5))))) ),
inference(resolution,[],[f210,f431]) ).
fof(f2355,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| smndt0(smndt0(sK23(X0,X1,X2,X3,X4,X5))) = sdtpldt0(sz0z00,smndt0(smndt0(sK23(X0,X1,X2,X3,X4,X5)))) ),
inference(resolution,[],[f210,f423]) ).
fof(f2354,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| smndt0(smndt0(sK23(X0,X1,X2,X3,X4,X5))) = sdtpldt0(smndt0(smndt0(sK23(X0,X1,X2,X3,X4,X5))),sz0z00) ),
inference(resolution,[],[f210,f415]) ).
fof(f2353,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(sK23(X0,X1,X2,X3,X4,X5)))) ),
inference(resolution,[],[f210,f394]) ).
fof(f2352,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(smndt0(smndt0(sK23(X0,X1,X2,X3,X4,X5))),sz0z00) ),
inference(resolution,[],[f210,f387]) ).
fof(f2351,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtpldt0(smndt0(smndt0(sK23(X0,X1,X2,X3,X4,X5))),smndt0(sK23(X0,X1,X2,X3,X4,X5))) ),
inference(resolution,[],[f210,f380]) ).
fof(f2350,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtpldt0(smndt0(sK23(X0,X1,X2,X3,X4,X5)),smndt0(smndt0(sK23(X0,X1,X2,X3,X4,X5)))) ),
inference(resolution,[],[f210,f373]) ).
fof(f2349,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| ~ aScalar0(X6)
| sz0z00 = sdtasdt0(sdtasdt0(sK23(X0,X1,X2,X3,X4,X5),X6),sz0z00) ),
inference(resolution,[],[f210,f365]) ).
fof(f2348,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| ~ aScalar0(X6)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sK23(X0,X1,X2,X3,X4,X5),X6)) ),
inference(resolution,[],[f210,f364]) ).
fof(f2347,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| ~ aScalar0(X6)
| sz0z00 = sdtasdt0(sdtpldt0(sK23(X0,X1,X2,X3,X4,X5),X6),sz0z00) ),
inference(resolution,[],[f210,f358]) ).
fof(f2346,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| ~ aScalar0(X6)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sK23(X0,X1,X2,X3,X4,X5),X6)) ),
inference(resolution,[],[f210,f357]) ).
fof(f2345,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtpldt0(smndt0(sK23(X0,X1,X2,X3,X4,X5)),sK23(X0,X1,X2,X3,X4,X5)) ),
inference(resolution,[],[f210,f350]) ).
fof(f2344,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtpldt0(sK23(X0,X1,X2,X3,X4,X5),smndt0(sK23(X0,X1,X2,X3,X4,X5))) ),
inference(resolution,[],[f210,f349]) ).
fof(f2343,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| smndt0(sK23(X0,X1,X2,X3,X4,X5)) = smndt0(smndt0(smndt0(sK23(X0,X1,X2,X3,X4,X5)))) ),
inference(resolution,[],[f210,f346]) ).
fof(f2342,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sz0z00,smndt0(sK23(X0,X1,X2,X3,X4,X5))) ),
inference(resolution,[],[f210,f343]) ).
fof(f2341,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(smndt0(sK23(X0,X1,X2,X3,X4,X5)),sz0z00) ),
inference(resolution,[],[f210,f339]) ).
fof(f2340,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| smndt0(sK23(X0,X1,X2,X3,X4,X5)) = sdtpldt0(sz0z00,smndt0(sK23(X0,X1,X2,X3,X4,X5))) ),
inference(resolution,[],[f210,f336]) ).
fof(f2339,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| smndt0(sK23(X0,X1,X2,X3,X4,X5)) = sdtpldt0(smndt0(sK23(X0,X1,X2,X3,X4,X5)),sz0z00) ),
inference(resolution,[],[f210,f333]) ).
fof(f2338,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| sK23(X0,X1,X2,X3,X4,X5) = smndt0(smndt0(sK23(X0,X1,X2,X3,X4,X5))) ),
inference(resolution,[],[f210,f331]) ).
fof(f2337,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sz0z00,sK23(X0,X1,X2,X3,X4,X5)) ),
inference(resolution,[],[f210,f330]) ).
fof(f2336,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| sz0z00 = sdtasdt0(sK23(X0,X1,X2,X3,X4,X5),sz0z00) ),
inference(resolution,[],[f210,f329]) ).
fof(f2335,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| sK23(X0,X1,X2,X3,X4,X5) = sdtpldt0(sz0z00,sK23(X0,X1,X2,X3,X4,X5)) ),
inference(resolution,[],[f210,f328]) ).
fof(f2334,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| sK23(X0,X1,X2,X3,X4,X5) = sdtpldt0(sK23(X0,X1,X2,X3,X4,X5),sz0z00) ),
inference(resolution,[],[f210,f327]) ).
fof(f2333,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| smndt0(sdtasdt0(X6,sK23(X0,X1,X2,X3,X4,X5))) = sdtasdt0(smndt0(X6),sK23(X0,X1,X2,X3,X4,X5))
| ~ aScalar0(X6) ),
inference(resolution,[],[f210,f282]) ).
fof(f2332,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| sdtasdt0(X6,smndt0(sK23(X0,X1,X2,X3,X4,X5))) = smndt0(sdtasdt0(X6,sK23(X0,X1,X2,X3,X4,X5)))
| ~ aScalar0(X6) ),
inference(resolution,[],[f210,f281]) ).
fof(f2331,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP7(X0,X1,X2,X3,X4,X5)
| sdtasdt0(X6,sK23(X0,X1,X2,X3,X4,X5)) = sdtasdt0(smndt0(X6),smndt0(sK23(X0,X1,X2,X3,X4,X5)))
| ~ aScalar0(X6) ),
inference(resolution,[],[f210,f280]) ).
fof(f210,plain,
! [X2,X3,X0,X1,X4,X5] :
( aScalar0(sK23(X0,X1,X2,X3,X4,X5))
| ~ sP7(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f150]) ).
fof(f206,plain,
! [X2,X3,X0,X1] :
( sP8(X3,X2,sK21(X0,X1,X2,X3),X1,X0)
| ~ sP9(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0,X1,X2,X3] :
( ( sP8(X3,X2,sK21(X0,X1,X2,X3),X1,X0)
& sdtasasdt0(X3,X3) = sK21(X0,X1,X2,X3)
& aScalar0(sK21(X0,X1,X2,X3)) )
| ~ sP9(X0,X1,X2,X3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f140,f141]) ).
fof(f141,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( sP8(X3,X2,X4,X1,X0)
& sdtasasdt0(X3,X3) = X4
& aScalar0(X4) )
=> ( sP8(X3,X2,sK21(X0,X1,X2,X3),X1,X0)
& sdtasasdt0(X3,X3) = sK21(X0,X1,X2,X3)
& aScalar0(sK21(X0,X1,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( sP8(X3,X2,X4,X1,X0)
& sdtasasdt0(X3,X3) = X4
& aScalar0(X4) )
| ~ sP9(X0,X1,X2,X3) ),
inference(rectify,[],[f139]) ).
fof(f139,plain,
! [X2,X3,X1,X0] :
( ? [X4] :
( sP8(X0,X1,X4,X3,X2)
& sdtasasdt0(X0,X0) = X4
& aScalar0(X4) )
| ~ sP9(X2,X3,X1,X0) ),
inference(nnf_transformation,[],[f113]) ).
fof(f2217,plain,
! [X0] :
( sz0z00 = sdtasdt0(sdtasdt0(sz0z00,sdtasasdt0(sK18(X0),sK18(X0))),sz0z00)
| ~ sP12(X0) ),
inference(resolution,[],[f1203,f193]) ).
fof(f2214,plain,
! [X0] :
( sz0z00 = sdtasdt0(sdtasdt0(sz0z00,sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0))),sz0z00)
| ~ sP15(X0) ),
inference(resolution,[],[f1203,f326]) ).
fof(f1203,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(sz0z00,sdtasasdt0(X0,X0)),sz0z00) ),
inference(resolution,[],[f1162,f829]) ).
fof(f2211,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,sdtasasdt0(sK18(X0),sK18(X0))))
| ~ sP12(X0) ),
inference(resolution,[],[f1200,f193]) ).
fof(f2208,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0))))
| ~ sP15(X0) ),
inference(resolution,[],[f1200,f326]) ).
fof(f1200,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,sdtasasdt0(X0,X0))) ),
inference(resolution,[],[f1162,f792]) ).
fof(f2205,plain,
! [X0] :
( sz0z00 = sdtasdt0(sdtpldt0(sz0z00,sdtasasdt0(sK18(X0),sK18(X0))),sz0z00)
| ~ sP12(X0) ),
inference(resolution,[],[f1197,f193]) ).
fof(f2202,plain,
! [X0] :
( sz0z00 = sdtasdt0(sdtpldt0(sz0z00,sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0))),sz0z00)
| ~ sP15(X0) ),
inference(resolution,[],[f1197,f326]) ).
fof(f1197,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(sz0z00,sdtasasdt0(X0,X0)),sz0z00) ),
inference(resolution,[],[f1162,f765]) ).
fof(f2199,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,sdtasasdt0(sK18(X0),sK18(X0))))
| ~ sP12(X0) ),
inference(resolution,[],[f1194,f193]) ).
fof(f2196,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0))))
| ~ sP15(X0) ),
inference(resolution,[],[f1194,f326]) ).
fof(f1194,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,sdtasasdt0(X0,X0))) ),
inference(resolution,[],[f1162,f738]) ).
fof(f2193,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(sdtasasdt0(sK18(X0),sK18(X0)))))
| ~ sP12(X0) ),
inference(resolution,[],[f1186,f193]) ).
fof(f2190,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0)))))
| ~ sP15(X0) ),
inference(resolution,[],[f1186,f326]) ).
fof(f1186,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(sdtasasdt0(X0,X0)))) ),
inference(resolution,[],[f1162,f394]) ).
fof(f2187,plain,
! [X0] :
( sz0z00 = sdtasdt0(smndt0(smndt0(sdtasasdt0(sK18(X0),sK18(X0)))),sz0z00)
| ~ sP12(X0) ),
inference(resolution,[],[f1185,f193]) ).
fof(f2184,plain,
! [X0] :
( sz0z00 = sdtasdt0(smndt0(smndt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0)))),sz0z00)
| ~ sP15(X0) ),
inference(resolution,[],[f1185,f326]) ).
fof(f1185,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(smndt0(smndt0(sdtasasdt0(X0,X0))),sz0z00) ),
inference(resolution,[],[f1162,f387]) ).
fof(f1412,plain,
! [X0] :
( ~ sP12(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasasdt0(sK18(X0),sK18(X0))) ),
inference(resolution,[],[f1170,f193]) ).
fof(f2183,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0)))
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(resolution,[],[f1409,f257]) ).
fof(f1409,plain,
! [X0] :
( ~ sP15(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0))) ),
inference(resolution,[],[f1170,f326]) ).
fof(f1406,plain,
! [X0] :
( ~ sP12(X0)
| sz0z00 = sdtasdt0(sdtasasdt0(sK18(X0),sK18(X0)),sz0z00) ),
inference(resolution,[],[f1169,f193]) ).
fof(f2182,plain,
! [X2,X0,X1] :
( sdtasasdt0(X0,X0) = sK21(X1,sK20(X0,X2,X1),X2,X0)
| ~ sP10(X0,X2,X1) ),
inference(resolution,[],[f205,f203]) ).
fof(f205,plain,
! [X2,X3,X0,X1] :
( ~ sP9(X0,X1,X2,X3)
| sdtasasdt0(X3,X3) = sK21(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f142]) ).
fof(f2181,plain,
! [X0] :
( sz0z00 = sdtasdt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0)),sz0z00)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(resolution,[],[f1403,f257]) ).
fof(f1403,plain,
! [X0] :
( ~ sP15(X0)
| sz0z00 = sdtasdt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0)),sz0z00) ),
inference(resolution,[],[f1169,f326]) ).
fof(f291,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f1631,plain,
( aScalar0(sdtasasdt0(xt,xt))
| ~ aScalar0(smndt0(sdtasasdt0(xt,xt))) ),
inference(superposition,[],[f258,f1628]) ).
fof(f1630,plain,
( aScalar0(sdtasasdt0(xs,xs))
| ~ aScalar0(smndt0(sdtasasdt0(xs,xs))) ),
inference(superposition,[],[f258,f1627]) ).
fof(f289,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f1628,plain,
sdtasasdt0(xt,xt) = smndt0(smndt0(sdtasasdt0(xt,xt))),
inference(resolution,[],[f1171,f241]) ).
fof(f1627,plain,
sdtasasdt0(xs,xs) = smndt0(smndt0(sdtasasdt0(xs,xs))),
inference(resolution,[],[f1171,f240]) ).
fof(f1629,plain,
! [X0] :
( sdtasasdt0(sK18(X0),sK18(X0)) = smndt0(smndt0(sdtasasdt0(sK18(X0),sK18(X0))))
| ~ sP12(X0) ),
inference(resolution,[],[f1171,f193]) ).
fof(f1626,plain,
! [X0] :
( sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0)) = smndt0(smndt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0))))
| ~ sP15(X0) ),
inference(resolution,[],[f1171,f326]) ).
fof(f1171,plain,
! [X0] :
( ~ aVector0(X0)
| sdtasasdt0(X0,X0) = smndt0(smndt0(sdtasasdt0(X0,X0))) ),
inference(resolution,[],[f1162,f331]) ).
fof(f1622,plain,
sdtasasdt0(xt,xt) = sdtpldt0(sz0z00,sdtasasdt0(xt,xt)),
inference(resolution,[],[f1168,f241]) ).
fof(f1621,plain,
sdtasasdt0(xs,xs) = sdtpldt0(sz0z00,sdtasasdt0(xs,xs)),
inference(resolution,[],[f1168,f240]) ).
fof(f1623,plain,
! [X0] :
( sdtasasdt0(sK18(X0),sK18(X0)) = sdtpldt0(sz0z00,sdtasasdt0(sK18(X0),sK18(X0)))
| ~ sP12(X0) ),
inference(resolution,[],[f1168,f193]) ).
fof(f1620,plain,
! [X0] :
( sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0)) = sdtpldt0(sz0z00,sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0)))
| ~ sP15(X0) ),
inference(resolution,[],[f1168,f326]) ).
fof(f1168,plain,
! [X0] :
( ~ aVector0(X0)
| sdtasasdt0(X0,X0) = sdtpldt0(sz0z00,sdtasasdt0(X0,X0)) ),
inference(resolution,[],[f1162,f328]) ).
fof(f1616,plain,
sdtasasdt0(xt,xt) = sdtpldt0(sdtasasdt0(xt,xt),sz0z00),
inference(resolution,[],[f1167,f241]) ).
fof(f1615,plain,
sdtasasdt0(xs,xs) = sdtpldt0(sdtasasdt0(xs,xs),sz0z00),
inference(resolution,[],[f1167,f240]) ).
fof(f1617,plain,
! [X0] :
( sdtasasdt0(sK18(X0),sK18(X0)) = sdtpldt0(sdtasasdt0(sK18(X0),sK18(X0)),sz0z00)
| ~ sP12(X0) ),
inference(resolution,[],[f1167,f193]) ).
fof(f1614,plain,
! [X0] :
( sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0)) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0)),sz0z00)
| ~ sP15(X0) ),
inference(resolution,[],[f1167,f326]) ).
fof(f1167,plain,
! [X0] :
( ~ aVector0(X0)
| sdtasasdt0(X0,X0) = sdtpldt0(sdtasasdt0(X0,X0),sz0z00) ),
inference(resolution,[],[f1162,f327]) ).
fof(f1611,plain,
! [X2,X3,X0,X1,X4] :
( sdtasdt0(smndt0(sK24(X0,X1,X2,X3,X4)),sz0z00) = smndt0(sdtasdt0(sK24(X0,X1,X2,X3,X4),sz0z00))
| ~ sP6(X0,X1,X2,X3,X4) ),
inference(resolution,[],[f1530,f213]) ).
fof(f1610,plain,
! [X2,X3,X0,X1,X4] :
( sdtasdt0(smndt0(sK22(X0,X1,X2,X3,X4)),sz0z00) = smndt0(sdtasdt0(sK22(X0,X1,X2,X3,X4),sz0z00))
| ~ sP8(X0,X1,X2,X3,X4) ),
inference(resolution,[],[f1530,f207]) ).
fof(f1609,plain,
! [X2,X3,X0,X1] :
( sdtasdt0(smndt0(sK21(X0,X1,X2,X3)),sz0z00) = smndt0(sdtasdt0(sK21(X0,X1,X2,X3),sz0z00))
| ~ sP9(X0,X1,X2,X3) ),
inference(resolution,[],[f1530,f204]) ).
fof(f1608,plain,
! [X2,X0,X1] :
( sdtasdt0(smndt0(sK20(X0,X1,X2)),sz0z00) = smndt0(sdtasdt0(sK20(X0,X1,X2),sz0z00))
| ~ sP10(X0,X1,X2) ),
inference(resolution,[],[f1530,f201]) ).
fof(f1607,plain,
! [X0,X1] :
( sdtasdt0(smndt0(sK19(X0,X1)),sz0z00) = smndt0(sdtasdt0(sK19(X0,X1),sz0z00))
| ~ sP11(X0,X1) ),
inference(resolution,[],[f1530,f198]) ).
fof(f1602,plain,
! [X0] :
( sdtasdt0(smndt0(sdtasasdt0(X0,X0)),sz0z00) = smndt0(sdtasdt0(sdtasasdt0(X0,X0),sz0z00))
| ~ aVector0(X0) ),
inference(resolution,[],[f1530,f1162]) ).
fof(f1601,plain,
! [X0,X1] :
( sdtasdt0(smndt0(sdtlbdtrb0(X0,X1)),sz0z00) = smndt0(sdtasdt0(sdtlbdtrb0(X0,X1),sz0z00))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f1530,f273]) ).
fof(f1600,plain,
! [X0] :
( sdtasdt0(smndt0(smndt0(X0)),sz0z00) = smndt0(sdtasdt0(smndt0(X0),sz0z00))
| ~ aScalar0(X0) ),
inference(resolution,[],[f1530,f258]) ).
fof(f1599,plain,
! [X0,X1] :
( sdtasdt0(smndt0(sdtasdt0(X0,X1)),sz0z00) = smndt0(sdtasdt0(sdtasdt0(X0,X1),sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f1530,f279]) ).
fof(f1598,plain,
! [X0,X1] :
( sdtasdt0(smndt0(sdtpldt0(X0,X1)),sz0z00) = smndt0(sdtasdt0(sdtpldt0(X0,X1),sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f1530,f278]) ).
fof(f1530,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),sz0z00) = smndt0(sdtasdt0(X0,sz0z00)) ),
inference(resolution,[],[f282,f244]) ).
fof(f1592,plain,
! [X0] :
( sz0z00 = sdtasdt0(X0,X0)
| ~ sdtlseqdt0(sdtasdt0(X0,X0),sz0z00)
| ~ aScalar0(X0) ),
inference(subsumption_resolution,[],[f1591,f279]) ).
fof(f1591,plain,
! [X0] :
( sz0z00 = sdtasdt0(X0,X0)
| ~ sdtlseqdt0(sdtasdt0(X0,X0),sz0z00)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(subsumption_resolution,[],[f1585,f244]) ).
fof(f1585,plain,
! [X0] :
( sz0z00 = sdtasdt0(X0,X0)
| ~ sdtlseqdt0(sdtasdt0(X0,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(resolution,[],[f284,f260]) ).
fof(f1590,plain,
! [X0] :
( sz0z00 = sdtasasdt0(X0,X0)
| ~ sdtlseqdt0(sdtasasdt0(X0,X0),sz0z00)
| ~ aVector0(X0) ),
inference(subsumption_resolution,[],[f1589,f1162]) ).
fof(f1589,plain,
! [X0] :
( sz0z00 = sdtasasdt0(X0,X0)
| ~ sdtlseqdt0(sdtasasdt0(X0,X0),sz0z00)
| ~ aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(subsumption_resolution,[],[f1584,f244]) ).
fof(f1584,plain,
! [X0] :
( sz0z00 = sdtasasdt0(X0,X0)
| ~ sdtlseqdt0(sdtasasdt0(X0,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(resolution,[],[f284,f249]) ).
fof(f284,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEASm) ).
fof(f1544,plain,
! [X2,X3,X0,X1,X4,X5] :
( smndt0(sdtasdt0(X0,sK24(X1,X2,X3,X4,X5))) = sdtasdt0(smndt0(X0),sK24(X1,X2,X3,X4,X5))
| ~ aScalar0(X0)
| ~ sP6(X1,X2,X3,X4,X5) ),
inference(resolution,[],[f282,f213]) ).
fof(f1543,plain,
! [X2,X3,X0,X1,X4,X5] :
( smndt0(sdtasdt0(X0,sK22(X1,X2,X3,X4,X5))) = sdtasdt0(smndt0(X0),sK22(X1,X2,X3,X4,X5))
| ~ aScalar0(X0)
| ~ sP8(X1,X2,X3,X4,X5) ),
inference(resolution,[],[f282,f207]) ).
fof(f1542,plain,
! [X2,X3,X0,X1,X4] :
( smndt0(sdtasdt0(X0,sK21(X1,X2,X3,X4))) = sdtasdt0(smndt0(X0),sK21(X1,X2,X3,X4))
| ~ aScalar0(X0)
| ~ sP9(X1,X2,X3,X4) ),
inference(resolution,[],[f282,f204]) ).
fof(f1541,plain,
! [X2,X3,X0,X1] :
( smndt0(sdtasdt0(X0,sK20(X1,X2,X3))) = sdtasdt0(smndt0(X0),sK20(X1,X2,X3))
| ~ aScalar0(X0)
| ~ sP10(X1,X2,X3) ),
inference(resolution,[],[f282,f201]) ).
fof(f1540,plain,
! [X2,X0,X1] :
( smndt0(sdtasdt0(X0,sK19(X1,X2))) = sdtasdt0(smndt0(X0),sK19(X1,X2))
| ~ aScalar0(X0)
| ~ sP11(X1,X2) ),
inference(resolution,[],[f282,f198]) ).
fof(f1535,plain,
! [X0,X1] :
( smndt0(sdtasdt0(X0,sdtasasdt0(X1,X1))) = sdtasdt0(smndt0(X0),sdtasasdt0(X1,X1))
| ~ aScalar0(X0)
| ~ aVector0(X1) ),
inference(resolution,[],[f282,f1162]) ).
fof(f1534,plain,
! [X2,X0,X1] :
( smndt0(sdtasdt0(X0,sdtlbdtrb0(X1,X2))) = sdtasdt0(smndt0(X0),sdtlbdtrb0(X1,X2))
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ),
inference(resolution,[],[f282,f273]) ).
fof(f1533,plain,
! [X0,X1] :
( sdtasdt0(smndt0(X0),smndt0(X1)) = smndt0(sdtasdt0(X0,smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(resolution,[],[f282,f258]) ).
fof(f1532,plain,
! [X2,X0,X1] :
( smndt0(sdtasdt0(X0,sdtasdt0(X1,X2))) = sdtasdt0(smndt0(X0),sdtasdt0(X1,X2))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(resolution,[],[f282,f279]) ).
fof(f1531,plain,
! [X2,X0,X1] :
( smndt0(sdtasdt0(X0,sdtpldt0(X1,X2))) = sdtasdt0(smndt0(X0),sdtpldt0(X1,X2))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(resolution,[],[f282,f278]) ).
fof(f282,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( ( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( ( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMNeg) ).
fof(f1526,plain,
sz0z00 = sdtasdt0(sz0z00,smndt0(sdtasasdt0(xt,xt))),
inference(resolution,[],[f1175,f241]) ).
fof(f1525,plain,
sz0z00 = sdtasdt0(sz0z00,smndt0(sdtasasdt0(xs,xs))),
inference(resolution,[],[f1175,f240]) ).
fof(f1527,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(sdtasasdt0(sK18(X0),sK18(X0))))
| ~ sP12(X0) ),
inference(resolution,[],[f1175,f193]) ).
fof(f1524,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0))))
| ~ sP15(X0) ),
inference(resolution,[],[f1175,f326]) ).
fof(f1175,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(sz0z00,smndt0(sdtasasdt0(X0,X0))) ),
inference(resolution,[],[f1162,f343]) ).
fof(f1520,plain,
sz0z00 = sdtasdt0(smndt0(sdtasasdt0(xt,xt)),sz0z00),
inference(resolution,[],[f1174,f241]) ).
fof(f1519,plain,
sz0z00 = sdtasdt0(smndt0(sdtasasdt0(xs,xs)),sz0z00),
inference(resolution,[],[f1174,f240]) ).
fof(f1521,plain,
! [X0] :
( sz0z00 = sdtasdt0(smndt0(sdtasasdt0(sK18(X0),sK18(X0))),sz0z00)
| ~ sP12(X0) ),
inference(resolution,[],[f1174,f193]) ).
fof(f1518,plain,
! [X0] :
( sz0z00 = sdtasdt0(smndt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0))),sz0z00)
| ~ sP15(X0) ),
inference(resolution,[],[f1174,f326]) ).
fof(f1174,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(smndt0(sdtasasdt0(X0,X0)),sz0z00) ),
inference(resolution,[],[f1162,f339]) ).
fof(f1484,plain,
! [X2,X3,X0,X1,X4,X5] :
( sdtasdt0(X0,smndt0(sK24(X1,X2,X3,X4,X5))) = smndt0(sdtasdt0(X0,sK24(X1,X2,X3,X4,X5)))
| ~ aScalar0(X0)
| ~ sP6(X1,X2,X3,X4,X5) ),
inference(resolution,[],[f281,f213]) ).
fof(f1483,plain,
! [X2,X3,X0,X1,X4,X5] :
( sdtasdt0(X0,smndt0(sK22(X1,X2,X3,X4,X5))) = smndt0(sdtasdt0(X0,sK22(X1,X2,X3,X4,X5)))
| ~ aScalar0(X0)
| ~ sP8(X1,X2,X3,X4,X5) ),
inference(resolution,[],[f281,f207]) ).
fof(f1482,plain,
! [X2,X3,X0,X1,X4] :
( sdtasdt0(X0,smndt0(sK21(X1,X2,X3,X4))) = smndt0(sdtasdt0(X0,sK21(X1,X2,X3,X4)))
| ~ aScalar0(X0)
| ~ sP9(X1,X2,X3,X4) ),
inference(resolution,[],[f281,f204]) ).
fof(f1481,plain,
! [X2,X3,X0,X1] :
( sdtasdt0(X0,smndt0(sK20(X1,X2,X3))) = smndt0(sdtasdt0(X0,sK20(X1,X2,X3)))
| ~ aScalar0(X0)
| ~ sP10(X1,X2,X3) ),
inference(resolution,[],[f281,f201]) ).
fof(f1480,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sK19(X1,X2))) = smndt0(sdtasdt0(X0,sK19(X1,X2)))
| ~ aScalar0(X0)
| ~ sP11(X1,X2) ),
inference(resolution,[],[f281,f198]) ).
fof(f1475,plain,
! [X0,X1] :
( sdtasdt0(X0,smndt0(sdtasasdt0(X1,X1))) = smndt0(sdtasdt0(X0,sdtasasdt0(X1,X1)))
| ~ aScalar0(X0)
| ~ aVector0(X1) ),
inference(resolution,[],[f281,f1162]) ).
fof(f1474,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtlbdtrb0(X1,X2))) = smndt0(sdtasdt0(X0,sdtlbdtrb0(X1,X2)))
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ),
inference(resolution,[],[f281,f273]) ).
fof(f1473,plain,
! [X0,X1] :
( sdtasdt0(X0,smndt0(smndt0(X1))) = smndt0(sdtasdt0(X0,smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(resolution,[],[f281,f258]) ).
fof(f1472,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtasdt0(X1,X2))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,X2)))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(resolution,[],[f281,f279]) ).
fof(f1471,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtpldt0(X1,X2))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,X2)))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(resolution,[],[f281,f278]) ).
fof(f281,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f1411,plain,
sz0z00 = sdtasdt0(sz0z00,sdtasasdt0(xt,xt)),
inference(resolution,[],[f1170,f241]) ).
fof(f1410,plain,
sz0z00 = sdtasdt0(sz0z00,sdtasasdt0(xs,xs)),
inference(resolution,[],[f1170,f240]) ).
fof(f1427,plain,
! [X2,X3,X0,X1,X4,X5] :
( sdtasdt0(X0,sK24(X1,X2,X3,X4,X5)) = sdtasdt0(smndt0(X0),smndt0(sK24(X1,X2,X3,X4,X5)))
| ~ aScalar0(X0)
| ~ sP6(X1,X2,X3,X4,X5) ),
inference(resolution,[],[f280,f213]) ).
fof(f1426,plain,
! [X2,X3,X0,X1,X4,X5] :
( sdtasdt0(X0,sK22(X1,X2,X3,X4,X5)) = sdtasdt0(smndt0(X0),smndt0(sK22(X1,X2,X3,X4,X5)))
| ~ aScalar0(X0)
| ~ sP8(X1,X2,X3,X4,X5) ),
inference(resolution,[],[f280,f207]) ).
fof(f1425,plain,
! [X2,X3,X0,X1,X4] :
( sdtasdt0(X0,sK21(X1,X2,X3,X4)) = sdtasdt0(smndt0(X0),smndt0(sK21(X1,X2,X3,X4)))
| ~ aScalar0(X0)
| ~ sP9(X1,X2,X3,X4) ),
inference(resolution,[],[f280,f204]) ).
fof(f1424,plain,
! [X2,X3,X0,X1] :
( sdtasdt0(X0,sK20(X1,X2,X3)) = sdtasdt0(smndt0(X0),smndt0(sK20(X1,X2,X3)))
| ~ aScalar0(X0)
| ~ sP10(X1,X2,X3) ),
inference(resolution,[],[f280,f201]) ).
fof(f1423,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sK19(X1,X2)) = sdtasdt0(smndt0(X0),smndt0(sK19(X1,X2)))
| ~ aScalar0(X0)
| ~ sP11(X1,X2) ),
inference(resolution,[],[f280,f198]) ).
fof(f1418,plain,
! [X0,X1] :
( sdtasdt0(X0,sdtasasdt0(X1,X1)) = sdtasdt0(smndt0(X0),smndt0(sdtasasdt0(X1,X1)))
| ~ aScalar0(X0)
| ~ aVector0(X1) ),
inference(resolution,[],[f280,f1162]) ).
fof(f1417,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtlbdtrb0(X1,X2)) = sdtasdt0(smndt0(X0),smndt0(sdtlbdtrb0(X1,X2)))
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ),
inference(resolution,[],[f280,f273]) ).
fof(f1416,plain,
! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X0),smndt0(smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(resolution,[],[f280,f258]) ).
fof(f1415,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,X2)))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(resolution,[],[f280,f279]) ).
fof(f1414,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,X2)))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(resolution,[],[f280,f278]) ).
fof(f280,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMDNeg) ).
fof(f1170,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasasdt0(X0,X0)) ),
inference(resolution,[],[f1162,f330]) ).
fof(f1405,plain,
sz0z00 = sdtasdt0(sdtasasdt0(xt,xt),sz0z00),
inference(resolution,[],[f1169,f241]) ).
fof(f1404,plain,
sz0z00 = sdtasdt0(sdtasasdt0(xs,xs),sz0z00),
inference(resolution,[],[f1169,f240]) ).
fof(f1169,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(sdtasasdt0(X0,X0),sz0z00) ),
inference(resolution,[],[f1162,f329]) ).
fof(f1205,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(sdtasasdt0(X0,X0)))),sz0z00) ),
inference(resolution,[],[f1162,f849]) ).
fof(f1204,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(sz0z00,smndt0(sdtasasdt0(X0,X0))),sz0z00) ),
inference(resolution,[],[f1162,f840]) ).
fof(f1202,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(sdtasasdt0(X0,X0))))) ),
inference(resolution,[],[f1162,f822]) ).
fof(f1201,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(sdtasasdt0(X0,X0)))) ),
inference(resolution,[],[f1162,f813]) ).
fof(f1199,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(sz0z00,smndt0(smndt0(sdtasasdt0(X0,X0)))),sz0z00) ),
inference(resolution,[],[f1162,f785]) ).
fof(f1198,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(sz0z00,smndt0(sdtasasdt0(X0,X0))),sz0z00) ),
inference(resolution,[],[f1162,f776]) ).
fof(f1196,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,smndt0(smndt0(sdtasasdt0(X0,X0))))) ),
inference(resolution,[],[f1162,f758]) ).
fof(f1195,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,smndt0(sdtasasdt0(X0,X0)))) ),
inference(resolution,[],[f1162,f749]) ).
fof(f1193,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(smndt0(sdtasasdt0(X0,X0)))))) ),
inference(resolution,[],[f1162,f599]) ).
fof(f1192,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasasdt0(X0,X0))))),sz0z00) ),
inference(resolution,[],[f1162,f588]) ).
fof(f1191,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasasdt0(X0,X0))))) ),
inference(resolution,[],[f1162,f449]) ).
fof(f1190,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(smndt0(smndt0(smndt0(sdtasasdt0(X0,X0)))),sz0z00) ),
inference(resolution,[],[f1162,f440]) ).
fof(f1189,plain,
! [X0] :
( ~ aVector0(X0)
| smndt0(smndt0(sdtasasdt0(X0,X0))) = smndt0(smndt0(smndt0(smndt0(sdtasasdt0(X0,X0))))) ),
inference(resolution,[],[f1162,f431]) ).
fof(f1188,plain,
! [X0] :
( ~ aVector0(X0)
| smndt0(smndt0(sdtasasdt0(X0,X0))) = sdtpldt0(sz0z00,smndt0(smndt0(sdtasasdt0(X0,X0)))) ),
inference(resolution,[],[f1162,f423]) ).
fof(f1187,plain,
! [X0] :
( ~ aVector0(X0)
| smndt0(smndt0(sdtasasdt0(X0,X0))) = sdtpldt0(smndt0(smndt0(sdtasasdt0(X0,X0))),sz0z00) ),
inference(resolution,[],[f1162,f415]) ).
fof(f1184,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtpldt0(smndt0(smndt0(sdtasasdt0(X0,X0))),smndt0(sdtasasdt0(X0,X0))) ),
inference(resolution,[],[f1162,f380]) ).
fof(f1183,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtpldt0(smndt0(sdtasasdt0(X0,X0)),smndt0(smndt0(sdtasasdt0(X0,X0)))) ),
inference(resolution,[],[f1162,f373]) ).
fof(f1182,plain,
! [X0,X1] :
( ~ aVector0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtasdt0(sdtasdt0(sdtasasdt0(X0,X0),X1),sz0z00) ),
inference(resolution,[],[f1162,f365]) ).
fof(f1181,plain,
! [X0,X1] :
( ~ aVector0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sdtasasdt0(X0,X0),X1)) ),
inference(resolution,[],[f1162,f364]) ).
fof(f1180,plain,
! [X0,X1] :
( ~ aVector0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtasdt0(sdtpldt0(sdtasasdt0(X0,X0),X1),sz0z00) ),
inference(resolution,[],[f1162,f358]) ).
fof(f1179,plain,
! [X0,X1] :
( ~ aVector0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sdtasasdt0(X0,X0),X1)) ),
inference(resolution,[],[f1162,f357]) ).
fof(f1178,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtpldt0(smndt0(sdtasasdt0(X0,X0)),sdtasasdt0(X0,X0)) ),
inference(resolution,[],[f1162,f350]) ).
fof(f1177,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtpldt0(sdtasasdt0(X0,X0),smndt0(sdtasasdt0(X0,X0))) ),
inference(resolution,[],[f1162,f349]) ).
fof(f1176,plain,
! [X0] :
( ~ aVector0(X0)
| smndt0(sdtasasdt0(X0,X0)) = smndt0(smndt0(smndt0(sdtasasdt0(X0,X0)))) ),
inference(resolution,[],[f1162,f346]) ).
fof(f1173,plain,
! [X0] :
( ~ aVector0(X0)
| smndt0(sdtasasdt0(X0,X0)) = sdtpldt0(sz0z00,smndt0(sdtasasdt0(X0,X0))) ),
inference(resolution,[],[f1162,f336]) ).
fof(f1172,plain,
! [X0] :
( ~ aVector0(X0)
| smndt0(sdtasasdt0(X0,X0)) = sdtpldt0(smndt0(sdtasasdt0(X0,X0)),sz0z00) ),
inference(resolution,[],[f1162,f333]) ).
fof(f1162,plain,
! [X0] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(duplicate_literal_removal,[],[f1161]) ).
fof(f1161,plain,
! [X0] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0)
| ~ aVector0(X0) ),
inference(equality_resolution,[],[f274]) ).
fof(f274,plain,
! [X0,X1] :
( aDimensionOf0(X0) != aDimensionOf0(X1)
| aScalar0(sdtasasdt0(X0,X1))
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( aDimensionOf0(X0) = aDimensionOf0(X1)
=> aScalar0(sdtasasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScPr) ).
fof(f1124,plain,
! [X2,X3,X0,X1,X4] :
( sz0z00 = sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(sK24(X0,X1,X2,X3,X4)))),sz0z00)
| ~ sP6(X0,X1,X2,X3,X4) ),
inference(resolution,[],[f849,f213]) ).
fof(f1123,plain,
! [X2,X3,X0,X1,X4] :
( sz0z00 = sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(sK22(X0,X1,X2,X3,X4)))),sz0z00)
| ~ sP8(X0,X1,X2,X3,X4) ),
inference(resolution,[],[f849,f207]) ).
fof(f1122,plain,
! [X2,X3,X0,X1] :
( sz0z00 = sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(sK21(X0,X1,X2,X3)))),sz0z00)
| ~ sP9(X0,X1,X2,X3) ),
inference(resolution,[],[f849,f204]) ).
fof(f1121,plain,
! [X2,X0,X1] :
( sz0z00 = sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(sK20(X0,X1,X2)))),sz0z00)
| ~ sP10(X0,X1,X2) ),
inference(resolution,[],[f849,f201]) ).
fof(f1120,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(sK19(X0,X1)))),sz0z00)
| ~ sP11(X0,X1) ),
inference(resolution,[],[f849,f198]) ).
fof(f1119,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(sdtlbdtrb0(X0,X1)))),sz0z00)
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f849,f273]) ).
fof(f1118,plain,
! [X0] :
( sz0z00 = sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(smndt0(X0)))),sz0z00)
| ~ aScalar0(X0) ),
inference(resolution,[],[f849,f258]) ).
fof(f1117,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(X0,X1)))),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f849,f279]) ).
fof(f1116,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(sdtpldt0(X0,X1)))),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f849,f278]) ).
fof(f849,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(sz0z00,smndt0(smndt0(X0))),sz0z00) ),
inference(resolution,[],[f840,f258]) ).
fof(f1111,plain,
! [X2,X3,X0,X1,X4] :
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(sK24(X0,X1,X2,X3,X4)))))
| ~ sP6(X0,X1,X2,X3,X4) ),
inference(resolution,[],[f822,f213]) ).
fof(f1110,plain,
! [X2,X3,X0,X1,X4] :
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(sK22(X0,X1,X2,X3,X4)))))
| ~ sP8(X0,X1,X2,X3,X4) ),
inference(resolution,[],[f822,f207]) ).
fof(f1109,plain,
! [X2,X3,X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(sK21(X0,X1,X2,X3)))))
| ~ sP9(X0,X1,X2,X3) ),
inference(resolution,[],[f822,f204]) ).
fof(f1108,plain,
! [X2,X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(sK20(X0,X1,X2)))))
| ~ sP10(X0,X1,X2) ),
inference(resolution,[],[f822,f201]) ).
fof(f1107,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(sK19(X0,X1)))))
| ~ sP11(X0,X1) ),
inference(resolution,[],[f822,f198]) ).
fof(f1106,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(sdtlbdtrb0(X0,X1)))))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f822,f273]) ).
fof(f1105,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(smndt0(X0)))))
| ~ aScalar0(X0) ),
inference(resolution,[],[f822,f258]) ).
fof(f1104,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(X0,X1)))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f822,f279]) ).
fof(f1103,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(sdtpldt0(X0,X1)))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f822,f278]) ).
fof(f822,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(smndt0(X0)))) ),
inference(resolution,[],[f813,f258]) ).
fof(f1098,plain,
! [X2,X3,X0,X1,X4] :
( sz0z00 = sdtasdt0(sdtpldt0(sz0z00,smndt0(smndt0(sK24(X0,X1,X2,X3,X4)))),sz0z00)
| ~ sP6(X0,X1,X2,X3,X4) ),
inference(resolution,[],[f785,f213]) ).
fof(f1097,plain,
! [X2,X3,X0,X1,X4] :
( sz0z00 = sdtasdt0(sdtpldt0(sz0z00,smndt0(smndt0(sK22(X0,X1,X2,X3,X4)))),sz0z00)
| ~ sP8(X0,X1,X2,X3,X4) ),
inference(resolution,[],[f785,f207]) ).
fof(f1096,plain,
! [X2,X3,X0,X1] :
( sz0z00 = sdtasdt0(sdtpldt0(sz0z00,smndt0(smndt0(sK21(X0,X1,X2,X3)))),sz0z00)
| ~ sP9(X0,X1,X2,X3) ),
inference(resolution,[],[f785,f204]) ).
fof(f1095,plain,
! [X2,X0,X1] :
( sz0z00 = sdtasdt0(sdtpldt0(sz0z00,smndt0(smndt0(sK20(X0,X1,X2)))),sz0z00)
| ~ sP10(X0,X1,X2) ),
inference(resolution,[],[f785,f201]) ).
fof(f1094,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sdtpldt0(sz0z00,smndt0(smndt0(sK19(X0,X1)))),sz0z00)
| ~ sP11(X0,X1) ),
inference(resolution,[],[f785,f198]) ).
fof(f1093,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sdtpldt0(sz0z00,smndt0(smndt0(sdtlbdtrb0(X0,X1)))),sz0z00)
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f785,f273]) ).
fof(f1092,plain,
! [X0] :
( sz0z00 = sdtasdt0(sdtpldt0(sz0z00,smndt0(smndt0(smndt0(X0)))),sz0z00)
| ~ aScalar0(X0) ),
inference(resolution,[],[f785,f258]) ).
fof(f1091,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sdtpldt0(sz0z00,smndt0(smndt0(sdtasdt0(X0,X1)))),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f785,f279]) ).
fof(f1090,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sdtpldt0(sz0z00,smndt0(smndt0(sdtpldt0(X0,X1)))),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f785,f278]) ).
fof(f785,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(sz0z00,smndt0(smndt0(X0))),sz0z00) ),
inference(resolution,[],[f776,f258]) ).
fof(f1085,plain,
! [X2,X3,X0,X1,X4] :
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,smndt0(smndt0(sK24(X0,X1,X2,X3,X4)))))
| ~ sP6(X0,X1,X2,X3,X4) ),
inference(resolution,[],[f758,f213]) ).
fof(f1084,plain,
! [X2,X3,X0,X1,X4] :
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,smndt0(smndt0(sK22(X0,X1,X2,X3,X4)))))
| ~ sP8(X0,X1,X2,X3,X4) ),
inference(resolution,[],[f758,f207]) ).
fof(f1083,plain,
! [X2,X3,X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,smndt0(smndt0(sK21(X0,X1,X2,X3)))))
| ~ sP9(X0,X1,X2,X3) ),
inference(resolution,[],[f758,f204]) ).
fof(f1082,plain,
! [X2,X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,smndt0(smndt0(sK20(X0,X1,X2)))))
| ~ sP10(X0,X1,X2) ),
inference(resolution,[],[f758,f201]) ).
fof(f1081,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,smndt0(smndt0(sK19(X0,X1)))))
| ~ sP11(X0,X1) ),
inference(resolution,[],[f758,f198]) ).
fof(f1080,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,smndt0(smndt0(sdtlbdtrb0(X0,X1)))))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f758,f273]) ).
fof(f1079,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,smndt0(smndt0(smndt0(X0)))))
| ~ aScalar0(X0) ),
inference(resolution,[],[f758,f258]) ).
fof(f1078,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,smndt0(smndt0(sdtasdt0(X0,X1)))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f758,f279]) ).
fof(f1077,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,smndt0(smndt0(sdtpldt0(X0,X1)))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f758,f278]) ).
fof(f758,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,smndt0(smndt0(X0)))) ),
inference(resolution,[],[f749,f258]) ).
fof(f1071,plain,
! [X2,X3,X0,X1,X4] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(smndt0(sK24(X0,X1,X2,X3,X4))))))
| ~ sP6(X0,X1,X2,X3,X4) ),
inference(resolution,[],[f599,f213]) ).
fof(f1070,plain,
! [X2,X3,X0,X1,X4] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(smndt0(sK22(X0,X1,X2,X3,X4))))))
| ~ sP8(X0,X1,X2,X3,X4) ),
inference(resolution,[],[f599,f207]) ).
fof(f1069,plain,
! [X2,X3,X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(smndt0(sK21(X0,X1,X2,X3))))))
| ~ sP9(X0,X1,X2,X3) ),
inference(resolution,[],[f599,f204]) ).
fof(f1068,plain,
! [X2,X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(smndt0(sK20(X0,X1,X2))))))
| ~ sP10(X0,X1,X2) ),
inference(resolution,[],[f599,f201]) ).
fof(f1067,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(smndt0(sK19(X0,X1))))))
| ~ sP11(X0,X1) ),
inference(resolution,[],[f599,f198]) ).
fof(f1066,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(smndt0(sdtlbdtrb0(X0,X1))))))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f599,f273]) ).
fof(f1065,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(smndt0(smndt0(X0))))))
| ~ aScalar0(X0) ),
inference(resolution,[],[f599,f258]) ).
fof(f1064,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(smndt0(sdtasdt0(X0,X1))))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f599,f279]) ).
fof(f1063,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(smndt0(sdtpldt0(X0,X1))))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f599,f278]) ).
fof(f599,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(smndt0(X0))))) ),
inference(resolution,[],[f449,f258]) ).
fof(f1057,plain,
! [X2,X3,X0,X1,X4] :
( sz0z00 = sdtasdt0(smndt0(smndt0(smndt0(smndt0(sK24(X0,X1,X2,X3,X4))))),sz0z00)
| ~ sP6(X0,X1,X2,X3,X4) ),
inference(resolution,[],[f588,f213]) ).
fof(f1056,plain,
! [X2,X3,X0,X1,X4] :
( sz0z00 = sdtasdt0(smndt0(smndt0(smndt0(smndt0(sK22(X0,X1,X2,X3,X4))))),sz0z00)
| ~ sP8(X0,X1,X2,X3,X4) ),
inference(resolution,[],[f588,f207]) ).
fof(f1055,plain,
! [X2,X3,X0,X1] :
( sz0z00 = sdtasdt0(smndt0(smndt0(smndt0(smndt0(sK21(X0,X1,X2,X3))))),sz0z00)
| ~ sP9(X0,X1,X2,X3) ),
inference(resolution,[],[f588,f204]) ).
fof(f1054,plain,
! [X2,X0,X1] :
( sz0z00 = sdtasdt0(smndt0(smndt0(smndt0(smndt0(sK20(X0,X1,X2))))),sz0z00)
| ~ sP10(X0,X1,X2) ),
inference(resolution,[],[f588,f201]) ).
fof(f1053,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(smndt0(smndt0(smndt0(smndt0(sK19(X0,X1))))),sz0z00)
| ~ sP11(X0,X1) ),
inference(resolution,[],[f588,f198]) ).
fof(f1052,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtlbdtrb0(X0,X1))))),sz0z00)
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f588,f273]) ).
fof(f1051,plain,
! [X0] :
( sz0z00 = sdtasdt0(smndt0(smndt0(smndt0(smndt0(smndt0(X0))))),sz0z00)
| ~ aScalar0(X0) ),
inference(resolution,[],[f588,f258]) ).
fof(f1050,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtasdt0(X0,X1))))),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f588,f279]) ).
fof(f1049,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(smndt0(smndt0(smndt0(smndt0(sdtpldt0(X0,X1))))),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f588,f278]) ).
fof(f588,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(smndt0(smndt0(smndt0(smndt0(X0)))),sz0z00) ),
inference(resolution,[],[f440,f258]) ).
fof(f730,plain,
! [X0] :
( ~ sP12(X0)
| sz0z00 = sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(sK18(X0))),sz0z00) ),
inference(resolution,[],[f691,f193]) ).
fof(f1047,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP6(X0,X1,X2,X3,X4)
| sz0z00 = sdtasdt0(sdtasdt0(sz0z00,smndt0(sK24(X0,X1,X2,X3,X4))),sz0z00) ),
inference(resolution,[],[f213,f840]) ).
fof(f1046,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP6(X0,X1,X2,X3,X4)
| sz0z00 = sdtasdt0(sdtasdt0(sz0z00,sK24(X0,X1,X2,X3,X4)),sz0z00) ),
inference(resolution,[],[f213,f829]) ).
fof(f1045,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP6(X0,X1,X2,X3,X4)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(sK24(X0,X1,X2,X3,X4)))) ),
inference(resolution,[],[f213,f813]) ).
fof(f1044,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP6(X0,X1,X2,X3,X4)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,sK24(X0,X1,X2,X3,X4))) ),
inference(resolution,[],[f213,f792]) ).
fof(f1043,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP6(X0,X1,X2,X3,X4)
| sz0z00 = sdtasdt0(sdtpldt0(sz0z00,smndt0(sK24(X0,X1,X2,X3,X4))),sz0z00) ),
inference(resolution,[],[f213,f776]) ).
fof(f1042,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP6(X0,X1,X2,X3,X4)
| sz0z00 = sdtasdt0(sdtpldt0(sz0z00,sK24(X0,X1,X2,X3,X4)),sz0z00) ),
inference(resolution,[],[f213,f765]) ).
fof(f1041,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP6(X0,X1,X2,X3,X4)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,smndt0(sK24(X0,X1,X2,X3,X4)))) ),
inference(resolution,[],[f213,f749]) ).
fof(f1040,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP6(X0,X1,X2,X3,X4)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,sK24(X0,X1,X2,X3,X4))) ),
inference(resolution,[],[f213,f738]) ).
fof(f1039,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP6(X0,X1,X2,X3,X4)
| sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sK24(X0,X1,X2,X3,X4))))) ),
inference(resolution,[],[f213,f449]) ).
fof(f1038,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP6(X0,X1,X2,X3,X4)
| sz0z00 = sdtasdt0(smndt0(smndt0(smndt0(sK24(X0,X1,X2,X3,X4)))),sz0z00) ),
inference(resolution,[],[f213,f440]) ).
fof(f1037,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP6(X0,X1,X2,X3,X4)
| smndt0(smndt0(sK24(X0,X1,X2,X3,X4))) = smndt0(smndt0(smndt0(smndt0(sK24(X0,X1,X2,X3,X4))))) ),
inference(resolution,[],[f213,f431]) ).
fof(f1036,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP6(X0,X1,X2,X3,X4)
| smndt0(smndt0(sK24(X0,X1,X2,X3,X4))) = sdtpldt0(sz0z00,smndt0(smndt0(sK24(X0,X1,X2,X3,X4)))) ),
inference(resolution,[],[f213,f423]) ).
fof(f1035,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP6(X0,X1,X2,X3,X4)
| smndt0(smndt0(sK24(X0,X1,X2,X3,X4))) = sdtpldt0(smndt0(smndt0(sK24(X0,X1,X2,X3,X4))),sz0z00) ),
inference(resolution,[],[f213,f415]) ).
fof(f1034,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP6(X0,X1,X2,X3,X4)
| sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(sK24(X0,X1,X2,X3,X4)))) ),
inference(resolution,[],[f213,f394]) ).
fof(f1033,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP6(X0,X1,X2,X3,X4)
| sz0z00 = sdtasdt0(smndt0(smndt0(sK24(X0,X1,X2,X3,X4))),sz0z00) ),
inference(resolution,[],[f213,f387]) ).
fof(f1032,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP6(X0,X1,X2,X3,X4)
| sz0z00 = sdtpldt0(smndt0(smndt0(sK24(X0,X1,X2,X3,X4))),smndt0(sK24(X0,X1,X2,X3,X4))) ),
inference(resolution,[],[f213,f380]) ).
fof(f1031,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP6(X0,X1,X2,X3,X4)
| sz0z00 = sdtpldt0(smndt0(sK24(X0,X1,X2,X3,X4)),smndt0(smndt0(sK24(X0,X1,X2,X3,X4)))) ),
inference(resolution,[],[f213,f373]) ).
fof(f1030,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP6(X0,X1,X2,X3,X4)
| ~ aScalar0(X5)
| sz0z00 = sdtasdt0(sdtasdt0(sK24(X0,X1,X2,X3,X4),X5),sz0z00) ),
inference(resolution,[],[f213,f365]) ).
fof(f1029,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP6(X0,X1,X2,X3,X4)
| ~ aScalar0(X5)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sK24(X0,X1,X2,X3,X4),X5)) ),
inference(resolution,[],[f213,f364]) ).
fof(f1028,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP6(X0,X1,X2,X3,X4)
| ~ aScalar0(X5)
| sz0z00 = sdtasdt0(sdtpldt0(sK24(X0,X1,X2,X3,X4),X5),sz0z00) ),
inference(resolution,[],[f213,f358]) ).
fof(f1027,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP6(X0,X1,X2,X3,X4)
| ~ aScalar0(X5)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sK24(X0,X1,X2,X3,X4),X5)) ),
inference(resolution,[],[f213,f357]) ).
fof(f1026,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP6(X0,X1,X2,X3,X4)
| sz0z00 = sdtpldt0(smndt0(sK24(X0,X1,X2,X3,X4)),sK24(X0,X1,X2,X3,X4)) ),
inference(resolution,[],[f213,f350]) ).
fof(f1025,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP6(X0,X1,X2,X3,X4)
| sz0z00 = sdtpldt0(sK24(X0,X1,X2,X3,X4),smndt0(sK24(X0,X1,X2,X3,X4))) ),
inference(resolution,[],[f213,f349]) ).
fof(f1024,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP6(X0,X1,X2,X3,X4)
| smndt0(sK24(X0,X1,X2,X3,X4)) = smndt0(smndt0(smndt0(sK24(X0,X1,X2,X3,X4)))) ),
inference(resolution,[],[f213,f346]) ).
fof(f1023,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP6(X0,X1,X2,X3,X4)
| sz0z00 = sdtasdt0(sz0z00,smndt0(sK24(X0,X1,X2,X3,X4))) ),
inference(resolution,[],[f213,f343]) ).
fof(f1022,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP6(X0,X1,X2,X3,X4)
| sz0z00 = sdtasdt0(smndt0(sK24(X0,X1,X2,X3,X4)),sz0z00) ),
inference(resolution,[],[f213,f339]) ).
fof(f1021,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP6(X0,X1,X2,X3,X4)
| smndt0(sK24(X0,X1,X2,X3,X4)) = sdtpldt0(sz0z00,smndt0(sK24(X0,X1,X2,X3,X4))) ),
inference(resolution,[],[f213,f336]) ).
fof(f1020,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP6(X0,X1,X2,X3,X4)
| smndt0(sK24(X0,X1,X2,X3,X4)) = sdtpldt0(smndt0(sK24(X0,X1,X2,X3,X4)),sz0z00) ),
inference(resolution,[],[f213,f333]) ).
fof(f1019,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP6(X0,X1,X2,X3,X4)
| sK24(X0,X1,X2,X3,X4) = smndt0(smndt0(sK24(X0,X1,X2,X3,X4))) ),
inference(resolution,[],[f213,f331]) ).
fof(f1018,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP6(X0,X1,X2,X3,X4)
| sz0z00 = sdtasdt0(sz0z00,sK24(X0,X1,X2,X3,X4)) ),
inference(resolution,[],[f213,f330]) ).
fof(f1017,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP6(X0,X1,X2,X3,X4)
| sz0z00 = sdtasdt0(sK24(X0,X1,X2,X3,X4),sz0z00) ),
inference(resolution,[],[f213,f329]) ).
fof(f1016,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP6(X0,X1,X2,X3,X4)
| sK24(X0,X1,X2,X3,X4) = sdtpldt0(sz0z00,sK24(X0,X1,X2,X3,X4)) ),
inference(resolution,[],[f213,f328]) ).
fof(f1015,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP6(X0,X1,X2,X3,X4)
| sK24(X0,X1,X2,X3,X4) = sdtpldt0(sK24(X0,X1,X2,X3,X4),sz0z00) ),
inference(resolution,[],[f213,f327]) ).
fof(f213,plain,
! [X2,X3,X0,X1,X4] :
( aScalar0(sK24(X0,X1,X2,X3,X4))
| ~ sP6(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f154]) ).
fof(f1014,plain,
! [X0] :
( sz0z00 = sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(sziznziztdt0(X0))),sz0z00)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(resolution,[],[f727,f257]) ).
fof(f727,plain,
! [X0] :
( ~ sP15(X0)
| sz0z00 = sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(sziznziztdt0(X0))),sz0z00) ),
inference(resolution,[],[f691,f326]) ).
fof(f1011,plain,
! [X0] :
( sz0z00 = sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(sK18(X0)))),sz0z00)
| ~ sP12(X0) ),
inference(resolution,[],[f721,f193]) ).
fof(f1008,plain,
! [X0] :
( sz0z00 = sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0)))),sz0z00)
| ~ sP15(X0) ),
inference(resolution,[],[f721,f326]) ).
fof(f721,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(X0))),sz0z00) ),
inference(resolution,[],[f688,f248]) ).
fof(f1003,plain,
! [X0] :
( sz0z00 = sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(szszuzczcdt0(sK32(X0)))),sz0z00)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f718,f270]) ).
fof(f1002,plain,
! [X0] :
( sz0z00 = sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(szszuzczcdt0(aDimensionOf0(X0)))),sz0z00)
| ~ aVector0(X0) ),
inference(resolution,[],[f718,f248]) ).
fof(f999,plain,
! [X0] :
( sz0z00 = sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(X0)))),sz0z00)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f718,f246]) ).
fof(f718,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz0z00 = sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(szszuzczcdt0(X0))),sz0z00) ),
inference(resolution,[],[f688,f246]) ).
fof(f714,plain,
! [X0] :
( ~ sP12(X0)
| sz0z00 = sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(sK18(X0))),sz0z00) ),
inference(resolution,[],[f681,f193]) ).
fof(f997,plain,
! [X0] :
( sz0z00 = sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(sziznziztdt0(X0))),sz0z00)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(resolution,[],[f711,f257]) ).
fof(f711,plain,
! [X0] :
( ~ sP15(X0)
| sz0z00 = sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(sziznziztdt0(X0))),sz0z00) ),
inference(resolution,[],[f681,f326]) ).
fof(f994,plain,
! [X0] :
( sz0z00 = sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(sK18(X0)))),sz0z00)
| ~ sP12(X0) ),
inference(resolution,[],[f705,f193]) ).
fof(f991,plain,
! [X0] :
( sz0z00 = sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0)))),sz0z00)
| ~ sP15(X0) ),
inference(resolution,[],[f705,f326]) ).
fof(f705,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(X0))),sz0z00) ),
inference(resolution,[],[f678,f248]) ).
fof(f986,plain,
! [X0] :
( sz0z00 = sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(szszuzczcdt0(sK32(X0)))),sz0z00)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f702,f270]) ).
fof(f985,plain,
! [X0] :
( sz0z00 = sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(szszuzczcdt0(aDimensionOf0(X0)))),sz0z00)
| ~ aVector0(X0) ),
inference(resolution,[],[f702,f248]) ).
fof(f982,plain,
! [X0] :
( sz0z00 = sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(X0)))),sz0z00)
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f702,f246]) ).
fof(f702,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz0z00 = sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(szszuzczcdt0(X0))),sz0z00) ),
inference(resolution,[],[f678,f246]) ).
fof(f666,plain,
! [X0] :
( ~ sP12(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xt,aDimensionOf0(sK18(X0)))) ),
inference(resolution,[],[f627,f193]) ).
fof(f980,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xt,aDimensionOf0(sziznziztdt0(X0))))
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(resolution,[],[f663,f257]) ).
fof(f663,plain,
! [X0] :
( ~ sP15(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xt,aDimensionOf0(sziznziztdt0(X0)))) ),
inference(resolution,[],[f627,f326]) ).
fof(f977,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(sK18(X0)))))
| ~ sP12(X0) ),
inference(resolution,[],[f657,f193]) ).
fof(f974,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0)))))
| ~ sP15(X0) ),
inference(resolution,[],[f657,f326]) ).
fof(f657,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xt,szszuzczcdt0(aDimensionOf0(X0)))) ),
inference(resolution,[],[f624,f248]) ).
fof(f969,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xt,szszuzczcdt0(szszuzczcdt0(sK32(X0)))))
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f654,f270]) ).
fof(f968,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xt,szszuzczcdt0(szszuzczcdt0(aDimensionOf0(X0)))))
| ~ aVector0(X0) ),
inference(resolution,[],[f654,f248]) ).
fof(f965,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xt,szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(X0)))))
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f654,f246]) ).
fof(f654,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xt,szszuzczcdt0(szszuzczcdt0(X0)))) ),
inference(resolution,[],[f624,f246]) ).
fof(f963,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP8(X0,X1,X2,X3,X4)
| sz0z00 = sdtasdt0(sdtasdt0(sz0z00,smndt0(sK22(X0,X1,X2,X3,X4))),sz0z00) ),
inference(resolution,[],[f207,f840]) ).
fof(f962,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP8(X0,X1,X2,X3,X4)
| sz0z00 = sdtasdt0(sdtasdt0(sz0z00,sK22(X0,X1,X2,X3,X4)),sz0z00) ),
inference(resolution,[],[f207,f829]) ).
fof(f961,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP8(X0,X1,X2,X3,X4)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(sK22(X0,X1,X2,X3,X4)))) ),
inference(resolution,[],[f207,f813]) ).
fof(f960,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP8(X0,X1,X2,X3,X4)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,sK22(X0,X1,X2,X3,X4))) ),
inference(resolution,[],[f207,f792]) ).
fof(f959,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP8(X0,X1,X2,X3,X4)
| sz0z00 = sdtasdt0(sdtpldt0(sz0z00,smndt0(sK22(X0,X1,X2,X3,X4))),sz0z00) ),
inference(resolution,[],[f207,f776]) ).
fof(f958,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP8(X0,X1,X2,X3,X4)
| sz0z00 = sdtasdt0(sdtpldt0(sz0z00,sK22(X0,X1,X2,X3,X4)),sz0z00) ),
inference(resolution,[],[f207,f765]) ).
fof(f957,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP8(X0,X1,X2,X3,X4)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,smndt0(sK22(X0,X1,X2,X3,X4)))) ),
inference(resolution,[],[f207,f749]) ).
fof(f956,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP8(X0,X1,X2,X3,X4)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,sK22(X0,X1,X2,X3,X4))) ),
inference(resolution,[],[f207,f738]) ).
fof(f955,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP8(X0,X1,X2,X3,X4)
| sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sK22(X0,X1,X2,X3,X4))))) ),
inference(resolution,[],[f207,f449]) ).
fof(f954,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP8(X0,X1,X2,X3,X4)
| sz0z00 = sdtasdt0(smndt0(smndt0(smndt0(sK22(X0,X1,X2,X3,X4)))),sz0z00) ),
inference(resolution,[],[f207,f440]) ).
fof(f953,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP8(X0,X1,X2,X3,X4)
| smndt0(smndt0(sK22(X0,X1,X2,X3,X4))) = smndt0(smndt0(smndt0(smndt0(sK22(X0,X1,X2,X3,X4))))) ),
inference(resolution,[],[f207,f431]) ).
fof(f952,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP8(X0,X1,X2,X3,X4)
| smndt0(smndt0(sK22(X0,X1,X2,X3,X4))) = sdtpldt0(sz0z00,smndt0(smndt0(sK22(X0,X1,X2,X3,X4)))) ),
inference(resolution,[],[f207,f423]) ).
fof(f951,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP8(X0,X1,X2,X3,X4)
| smndt0(smndt0(sK22(X0,X1,X2,X3,X4))) = sdtpldt0(smndt0(smndt0(sK22(X0,X1,X2,X3,X4))),sz0z00) ),
inference(resolution,[],[f207,f415]) ).
fof(f950,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP8(X0,X1,X2,X3,X4)
| sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(sK22(X0,X1,X2,X3,X4)))) ),
inference(resolution,[],[f207,f394]) ).
fof(f949,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP8(X0,X1,X2,X3,X4)
| sz0z00 = sdtasdt0(smndt0(smndt0(sK22(X0,X1,X2,X3,X4))),sz0z00) ),
inference(resolution,[],[f207,f387]) ).
fof(f948,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP8(X0,X1,X2,X3,X4)
| sz0z00 = sdtpldt0(smndt0(smndt0(sK22(X0,X1,X2,X3,X4))),smndt0(sK22(X0,X1,X2,X3,X4))) ),
inference(resolution,[],[f207,f380]) ).
fof(f947,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP8(X0,X1,X2,X3,X4)
| sz0z00 = sdtpldt0(smndt0(sK22(X0,X1,X2,X3,X4)),smndt0(smndt0(sK22(X0,X1,X2,X3,X4)))) ),
inference(resolution,[],[f207,f373]) ).
fof(f946,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP8(X0,X1,X2,X3,X4)
| ~ aScalar0(X5)
| sz0z00 = sdtasdt0(sdtasdt0(sK22(X0,X1,X2,X3,X4),X5),sz0z00) ),
inference(resolution,[],[f207,f365]) ).
fof(f945,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP8(X0,X1,X2,X3,X4)
| ~ aScalar0(X5)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sK22(X0,X1,X2,X3,X4),X5)) ),
inference(resolution,[],[f207,f364]) ).
fof(f944,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP8(X0,X1,X2,X3,X4)
| ~ aScalar0(X5)
| sz0z00 = sdtasdt0(sdtpldt0(sK22(X0,X1,X2,X3,X4),X5),sz0z00) ),
inference(resolution,[],[f207,f358]) ).
fof(f943,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP8(X0,X1,X2,X3,X4)
| ~ aScalar0(X5)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sK22(X0,X1,X2,X3,X4),X5)) ),
inference(resolution,[],[f207,f357]) ).
fof(f942,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP8(X0,X1,X2,X3,X4)
| sz0z00 = sdtpldt0(smndt0(sK22(X0,X1,X2,X3,X4)),sK22(X0,X1,X2,X3,X4)) ),
inference(resolution,[],[f207,f350]) ).
fof(f941,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP8(X0,X1,X2,X3,X4)
| sz0z00 = sdtpldt0(sK22(X0,X1,X2,X3,X4),smndt0(sK22(X0,X1,X2,X3,X4))) ),
inference(resolution,[],[f207,f349]) ).
fof(f940,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP8(X0,X1,X2,X3,X4)
| smndt0(sK22(X0,X1,X2,X3,X4)) = smndt0(smndt0(smndt0(sK22(X0,X1,X2,X3,X4)))) ),
inference(resolution,[],[f207,f346]) ).
fof(f939,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP8(X0,X1,X2,X3,X4)
| sz0z00 = sdtasdt0(sz0z00,smndt0(sK22(X0,X1,X2,X3,X4))) ),
inference(resolution,[],[f207,f343]) ).
fof(f938,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP8(X0,X1,X2,X3,X4)
| sz0z00 = sdtasdt0(smndt0(sK22(X0,X1,X2,X3,X4)),sz0z00) ),
inference(resolution,[],[f207,f339]) ).
fof(f937,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP8(X0,X1,X2,X3,X4)
| smndt0(sK22(X0,X1,X2,X3,X4)) = sdtpldt0(sz0z00,smndt0(sK22(X0,X1,X2,X3,X4))) ),
inference(resolution,[],[f207,f336]) ).
fof(f936,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP8(X0,X1,X2,X3,X4)
| smndt0(sK22(X0,X1,X2,X3,X4)) = sdtpldt0(smndt0(sK22(X0,X1,X2,X3,X4)),sz0z00) ),
inference(resolution,[],[f207,f333]) ).
fof(f935,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP8(X0,X1,X2,X3,X4)
| sK22(X0,X1,X2,X3,X4) = smndt0(smndt0(sK22(X0,X1,X2,X3,X4))) ),
inference(resolution,[],[f207,f331]) ).
fof(f934,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP8(X0,X1,X2,X3,X4)
| sz0z00 = sdtasdt0(sz0z00,sK22(X0,X1,X2,X3,X4)) ),
inference(resolution,[],[f207,f330]) ).
fof(f933,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP8(X0,X1,X2,X3,X4)
| sz0z00 = sdtasdt0(sK22(X0,X1,X2,X3,X4),sz0z00) ),
inference(resolution,[],[f207,f329]) ).
fof(f932,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP8(X0,X1,X2,X3,X4)
| sK22(X0,X1,X2,X3,X4) = sdtpldt0(sz0z00,sK22(X0,X1,X2,X3,X4)) ),
inference(resolution,[],[f207,f328]) ).
fof(f931,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP8(X0,X1,X2,X3,X4)
| sK22(X0,X1,X2,X3,X4) = sdtpldt0(sK22(X0,X1,X2,X3,X4),sz0z00) ),
inference(resolution,[],[f207,f327]) ).
fof(f207,plain,
! [X2,X3,X0,X1,X4] :
( aScalar0(sK22(X0,X1,X2,X3,X4))
| ~ sP8(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f146]) ).
fof(f650,plain,
! [X0] :
( ~ sP12(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xs,aDimensionOf0(sK18(X0)))) ),
inference(resolution,[],[f617,f193]) ).
fof(f930,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xs,aDimensionOf0(sziznziztdt0(X0))))
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(resolution,[],[f647,f257]) ).
fof(f647,plain,
! [X0] :
( ~ sP15(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xs,aDimensionOf0(sziznziztdt0(X0)))) ),
inference(resolution,[],[f617,f326]) ).
fof(f927,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(sK18(X0)))))
| ~ sP12(X0) ),
inference(resolution,[],[f641,f193]) ).
fof(f924,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0)))))
| ~ sP15(X0) ),
inference(resolution,[],[f641,f326]) ).
fof(f641,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xs,szszuzczcdt0(aDimensionOf0(X0)))) ),
inference(resolution,[],[f614,f248]) ).
fof(f919,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xs,szszuzczcdt0(szszuzczcdt0(sK32(X0)))))
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f638,f270]) ).
fof(f918,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xs,szszuzczcdt0(szszuzczcdt0(aDimensionOf0(X0)))))
| ~ aVector0(X0) ),
inference(resolution,[],[f638,f248]) ).
fof(f915,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xs,szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(X0)))))
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f638,f246]) ).
fof(f638,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xs,szszuzczcdt0(szszuzczcdt0(X0)))) ),
inference(resolution,[],[f614,f246]) ).
fof(f873,plain,
! [X0] :
( ~ sP12(X0)
| sz0z00 = sdtasdt0(sz0z00,smndt0(sK19(sK18(X0),X0))) ),
inference(resolution,[],[f396,f197]) ).
fof(f872,plain,
! [X0] :
( ~ sP12(X0)
| sz0z00 = sdtasdt0(smndt0(sK19(sK18(X0),X0)),sz0z00) ),
inference(resolution,[],[f389,f197]) ).
fof(f904,plain,
! [X2,X3,X0,X1] :
( smndt0(smndt0(sK21(X0,X1,X2,X3))) = smndt0(smndt0(smndt0(smndt0(sK21(X0,X1,X2,X3)))))
| ~ sP9(X0,X1,X2,X3) ),
inference(resolution,[],[f431,f204]) ).
fof(f903,plain,
! [X2,X0,X1] :
( smndt0(smndt0(sK20(X0,X1,X2))) = smndt0(smndt0(smndt0(smndt0(sK20(X0,X1,X2)))))
| ~ sP10(X0,X1,X2) ),
inference(resolution,[],[f431,f201]) ).
fof(f902,plain,
! [X0,X1] :
( smndt0(smndt0(sK19(X0,X1))) = smndt0(smndt0(smndt0(smndt0(sK19(X0,X1)))))
| ~ sP11(X0,X1) ),
inference(resolution,[],[f431,f198]) ).
fof(f901,plain,
! [X0,X1] :
( smndt0(smndt0(sdtlbdtrb0(X0,X1))) = smndt0(smndt0(smndt0(smndt0(sdtlbdtrb0(X0,X1)))))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f431,f273]) ).
fof(f900,plain,
! [X0] :
( smndt0(smndt0(smndt0(X0))) = smndt0(smndt0(smndt0(smndt0(smndt0(X0)))))
| ~ aScalar0(X0) ),
inference(resolution,[],[f431,f258]) ).
fof(f899,plain,
! [X0,X1] :
( smndt0(smndt0(sdtasdt0(X0,X1))) = smndt0(smndt0(smndt0(smndt0(sdtasdt0(X0,X1)))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f431,f279]) ).
fof(f898,plain,
! [X0,X1] :
( smndt0(smndt0(sdtpldt0(X0,X1))) = smndt0(smndt0(smndt0(smndt0(sdtpldt0(X0,X1)))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f431,f278]) ).
fof(f431,plain,
! [X0] :
( ~ aScalar0(X0)
| smndt0(smndt0(X0)) = smndt0(smndt0(smndt0(smndt0(X0)))) ),
inference(resolution,[],[f346,f258]) ).
fof(f891,plain,
! [X2,X3,X0,X1] :
( smndt0(smndt0(sK21(X0,X1,X2,X3))) = sdtpldt0(sz0z00,smndt0(smndt0(sK21(X0,X1,X2,X3))))
| ~ sP9(X0,X1,X2,X3) ),
inference(resolution,[],[f423,f204]) ).
fof(f890,plain,
! [X2,X0,X1] :
( smndt0(smndt0(sK20(X0,X1,X2))) = sdtpldt0(sz0z00,smndt0(smndt0(sK20(X0,X1,X2))))
| ~ sP10(X0,X1,X2) ),
inference(resolution,[],[f423,f201]) ).
fof(f889,plain,
! [X0,X1] :
( smndt0(smndt0(sK19(X0,X1))) = sdtpldt0(sz0z00,smndt0(smndt0(sK19(X0,X1))))
| ~ sP11(X0,X1) ),
inference(resolution,[],[f423,f198]) ).
fof(f888,plain,
! [X0,X1] :
( smndt0(smndt0(sdtlbdtrb0(X0,X1))) = sdtpldt0(sz0z00,smndt0(smndt0(sdtlbdtrb0(X0,X1))))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f423,f273]) ).
fof(f887,plain,
! [X0] :
( smndt0(smndt0(smndt0(X0))) = sdtpldt0(sz0z00,smndt0(smndt0(smndt0(X0))))
| ~ aScalar0(X0) ),
inference(resolution,[],[f423,f258]) ).
fof(f886,plain,
! [X0,X1] :
( smndt0(smndt0(sdtasdt0(X0,X1))) = sdtpldt0(sz0z00,smndt0(smndt0(sdtasdt0(X0,X1))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f423,f279]) ).
fof(f885,plain,
! [X0,X1] :
( smndt0(smndt0(sdtpldt0(X0,X1))) = sdtpldt0(sz0z00,smndt0(smndt0(sdtpldt0(X0,X1))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f423,f278]) ).
fof(f423,plain,
! [X0] :
( ~ aScalar0(X0)
| smndt0(smndt0(X0)) = sdtpldt0(sz0z00,smndt0(smndt0(X0))) ),
inference(resolution,[],[f336,f258]) ).
fof(f881,plain,
! [X2,X3,X0,X1] :
( smndt0(smndt0(sK21(X0,X1,X2,X3))) = sdtpldt0(smndt0(smndt0(sK21(X0,X1,X2,X3))),sz0z00)
| ~ sP9(X0,X1,X2,X3) ),
inference(resolution,[],[f415,f204]) ).
fof(f880,plain,
! [X2,X0,X1] :
( smndt0(smndt0(sK20(X0,X1,X2))) = sdtpldt0(smndt0(smndt0(sK20(X0,X1,X2))),sz0z00)
| ~ sP10(X0,X1,X2) ),
inference(resolution,[],[f415,f201]) ).
fof(f879,plain,
! [X0,X1] :
( smndt0(smndt0(sK19(X0,X1))) = sdtpldt0(smndt0(smndt0(sK19(X0,X1))),sz0z00)
| ~ sP11(X0,X1) ),
inference(resolution,[],[f415,f198]) ).
fof(f878,plain,
! [X0,X1] :
( smndt0(smndt0(sdtlbdtrb0(X0,X1))) = sdtpldt0(smndt0(smndt0(sdtlbdtrb0(X0,X1))),sz0z00)
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f415,f273]) ).
fof(f877,plain,
! [X0] :
( smndt0(smndt0(smndt0(X0))) = sdtpldt0(smndt0(smndt0(smndt0(X0))),sz0z00)
| ~ aScalar0(X0) ),
inference(resolution,[],[f415,f258]) ).
fof(f876,plain,
! [X0,X1] :
( smndt0(smndt0(sdtasdt0(X0,X1))) = sdtpldt0(smndt0(smndt0(sdtasdt0(X0,X1))),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f415,f279]) ).
fof(f875,plain,
! [X0,X1] :
( smndt0(smndt0(sdtpldt0(X0,X1))) = sdtpldt0(smndt0(smndt0(sdtpldt0(X0,X1))),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f415,f278]) ).
fof(f415,plain,
! [X0] :
( ~ aScalar0(X0)
| smndt0(smndt0(X0)) = sdtpldt0(smndt0(smndt0(X0)),sz0z00) ),
inference(resolution,[],[f333,f258]) ).
fof(f396,plain,
! [X0,X1] :
( ~ sP11(X0,X1)
| sz0z00 = sdtasdt0(sz0z00,smndt0(sK19(X0,X1))) ),
inference(resolution,[],[f343,f198]) ).
fof(f389,plain,
! [X0,X1] :
( ~ sP11(X0,X1)
| sz0z00 = sdtasdt0(smndt0(sK19(X0,X1)),sz0z00) ),
inference(resolution,[],[f339,f198]) ).
fof(f869,plain,
! [X0] :
( szszuzczcdt0(aDimensionOf0(sK18(X0))) = szszuzczcdt0(sK32(szszuzczcdt0(aDimensionOf0(sK18(X0)))))
| ~ sP12(X0) ),
inference(resolution,[],[f462,f193]) ).
fof(f866,plain,
! [X0] :
( szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0))) = szszuzczcdt0(sK32(szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0)))))
| ~ sP15(X0) ),
inference(resolution,[],[f462,f326]) ).
fof(f462,plain,
! [X0] :
( ~ aVector0(X0)
| szszuzczcdt0(aDimensionOf0(X0)) = szszuzczcdt0(sK32(szszuzczcdt0(aDimensionOf0(X0)))) ),
inference(resolution,[],[f459,f248]) ).
fof(f861,plain,
! [X0] :
( szszuzczcdt0(szszuzczcdt0(sK32(X0))) = szszuzczcdt0(sK32(szszuzczcdt0(szszuzczcdt0(sK32(X0)))))
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f461,f270]) ).
fof(f860,plain,
! [X0] :
( szszuzczcdt0(szszuzczcdt0(aDimensionOf0(X0))) = szszuzczcdt0(sK32(szszuzczcdt0(szszuzczcdt0(aDimensionOf0(X0)))))
| ~ aVector0(X0) ),
inference(resolution,[],[f461,f248]) ).
fof(f857,plain,
! [X0] :
( szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(X0))) = szszuzczcdt0(sK32(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(X0)))))
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f461,f246]) ).
fof(f461,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| szszuzczcdt0(szszuzczcdt0(X0)) = szszuzczcdt0(sK32(szszuzczcdt0(szszuzczcdt0(X0)))) ),
inference(resolution,[],[f459,f246]) ).
fof(f853,plain,
! [X2,X3,X0,X1] :
( sz0z00 = sdtasdt0(sdtasdt0(sz0z00,smndt0(sK21(X0,X1,X2,X3))),sz0z00)
| ~ sP9(X0,X1,X2,X3) ),
inference(resolution,[],[f840,f204]) ).
fof(f852,plain,
! [X2,X0,X1] :
( sz0z00 = sdtasdt0(sdtasdt0(sz0z00,smndt0(sK20(X0,X1,X2))),sz0z00)
| ~ sP10(X0,X1,X2) ),
inference(resolution,[],[f840,f201]) ).
fof(f851,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sdtasdt0(sz0z00,smndt0(sK19(X0,X1))),sz0z00)
| ~ sP11(X0,X1) ),
inference(resolution,[],[f840,f198]) ).
fof(f850,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(X0,X1))),sz0z00)
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f840,f273]) ).
fof(f848,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sdtasdt0(sz0z00,smndt0(sdtasdt0(X0,X1))),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f840,f279]) ).
fof(f847,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sdtasdt0(sz0z00,smndt0(sdtpldt0(X0,X1))),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f840,f278]) ).
fof(f840,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(sz0z00,smndt0(X0)),sz0z00) ),
inference(resolution,[],[f829,f258]) ).
fof(f844,plain,
! [X2,X3,X0,X1] :
( sz0z00 = sdtasdt0(sdtasdt0(sz0z00,sK21(X0,X1,X2,X3)),sz0z00)
| ~ sP9(X0,X1,X2,X3) ),
inference(resolution,[],[f829,f204]) ).
fof(f843,plain,
! [X2,X0,X1] :
( sz0z00 = sdtasdt0(sdtasdt0(sz0z00,sK20(X0,X1,X2)),sz0z00)
| ~ sP10(X0,X1,X2) ),
inference(resolution,[],[f829,f201]) ).
fof(f842,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sdtasdt0(sz0z00,sK19(X0,X1)),sz0z00)
| ~ sP11(X0,X1) ),
inference(resolution,[],[f829,f198]) ).
fof(f841,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sdtasdt0(sz0z00,sdtlbdtrb0(X0,X1)),sz0z00)
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f829,f273]) ).
fof(f839,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(X0,X1)),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f829,f279]) ).
fof(f838,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sdtasdt0(sz0z00,sdtpldt0(X0,X1)),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f829,f278]) ).
fof(f829,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(sz0z00,X0),sz0z00) ),
inference(resolution,[],[f365,f244]) ).
fof(f836,plain,
! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(sK21(X1,X2,X3,X4),X0),sz0z00)
| ~ sP9(X1,X2,X3,X4) ),
inference(resolution,[],[f365,f204]) ).
fof(f835,plain,
! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(sK20(X1,X2,X3),X0),sz0z00)
| ~ sP10(X1,X2,X3) ),
inference(resolution,[],[f365,f201]) ).
fof(f834,plain,
! [X2,X0,X1] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(sK19(X1,X2),X0),sz0z00)
| ~ sP11(X1,X2) ),
inference(resolution,[],[f365,f198]) ).
fof(f833,plain,
! [X2,X0,X1] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(sdtlbdtrb0(X1,X2),X0),sz0z00)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ),
inference(resolution,[],[f365,f273]) ).
fof(f832,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(smndt0(X1),X0),sz0z00)
| ~ aScalar0(X1) ),
inference(resolution,[],[f365,f258]) ).
fof(f831,plain,
! [X2,X0,X1] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(sdtasdt0(X1,X2),X0),sz0z00)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(resolution,[],[f365,f279]) ).
fof(f830,plain,
! [X2,X0,X1] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(sdtpldt0(X1,X2),X0),sz0z00)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(resolution,[],[f365,f278]) ).
fof(f365,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(X1,X0),sz0z00) ),
inference(resolution,[],[f279,f329]) ).
fof(f826,plain,
! [X2,X3,X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(sK21(X0,X1,X2,X3))))
| ~ sP9(X0,X1,X2,X3) ),
inference(resolution,[],[f813,f204]) ).
fof(f825,plain,
! [X2,X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(sK20(X0,X1,X2))))
| ~ sP10(X0,X1,X2) ),
inference(resolution,[],[f813,f201]) ).
fof(f824,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(sK19(X0,X1))))
| ~ sP11(X0,X1) ),
inference(resolution,[],[f813,f198]) ).
fof(f823,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(X0,X1))))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f813,f273]) ).
fof(f821,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(sdtasdt0(X0,X1))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f813,f279]) ).
fof(f820,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(sdtpldt0(X0,X1))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f813,f278]) ).
fof(f813,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,smndt0(X0))) ),
inference(resolution,[],[f792,f258]) ).
fof(f817,plain,
! [X2,X3,X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,sK21(X0,X1,X2,X3)))
| ~ sP9(X0,X1,X2,X3) ),
inference(resolution,[],[f792,f204]) ).
fof(f816,plain,
! [X2,X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,sK20(X0,X1,X2)))
| ~ sP10(X0,X1,X2) ),
inference(resolution,[],[f792,f201]) ).
fof(f815,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,sK19(X0,X1)))
| ~ sP11(X0,X1) ),
inference(resolution,[],[f792,f198]) ).
fof(f814,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,sdtlbdtrb0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f792,f273]) ).
fof(f812,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,sdtasdt0(X0,X1)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f792,f279]) ).
fof(f811,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,sdtpldt0(X0,X1)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f792,f278]) ).
fof(f792,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sz0z00,X0)) ),
inference(resolution,[],[f364,f244]) ).
fof(f272,plain,
! [X0,X1] :
( szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccEqu) ).
fof(f799,plain,
! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sK21(X1,X2,X3,X4),X0))
| ~ sP9(X1,X2,X3,X4) ),
inference(resolution,[],[f364,f204]) ).
fof(f798,plain,
! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sK20(X1,X2,X3),X0))
| ~ sP10(X1,X2,X3) ),
inference(resolution,[],[f364,f201]) ).
fof(f797,plain,
! [X2,X0,X1] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sK19(X1,X2),X0))
| ~ sP11(X1,X2) ),
inference(resolution,[],[f364,f198]) ).
fof(f796,plain,
! [X2,X0,X1] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sdtlbdtrb0(X1,X2),X0))
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ),
inference(resolution,[],[f364,f273]) ).
fof(f795,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(smndt0(X1),X0))
| ~ aScalar0(X1) ),
inference(resolution,[],[f364,f258]) ).
fof(f794,plain,
! [X2,X0,X1] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sdtasdt0(X1,X2),X0))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(resolution,[],[f364,f279]) ).
fof(f793,plain,
! [X2,X0,X1] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sdtpldt0(X1,X2),X0))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(resolution,[],[f364,f278]) ).
fof(f364,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(X1,X0)) ),
inference(resolution,[],[f279,f330]) ).
fof(f789,plain,
! [X2,X3,X0,X1] :
( sz0z00 = sdtasdt0(sdtpldt0(sz0z00,smndt0(sK21(X0,X1,X2,X3))),sz0z00)
| ~ sP9(X0,X1,X2,X3) ),
inference(resolution,[],[f776,f204]) ).
fof(f788,plain,
! [X2,X0,X1] :
( sz0z00 = sdtasdt0(sdtpldt0(sz0z00,smndt0(sK20(X0,X1,X2))),sz0z00)
| ~ sP10(X0,X1,X2) ),
inference(resolution,[],[f776,f201]) ).
fof(f787,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sdtpldt0(sz0z00,smndt0(sK19(X0,X1))),sz0z00)
| ~ sP11(X0,X1) ),
inference(resolution,[],[f776,f198]) ).
fof(f786,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sdtpldt0(sz0z00,smndt0(sdtlbdtrb0(X0,X1))),sz0z00)
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f776,f273]) ).
fof(f784,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sdtpldt0(sz0z00,smndt0(sdtasdt0(X0,X1))),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f776,f279]) ).
fof(f783,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sdtpldt0(sz0z00,smndt0(sdtpldt0(X0,X1))),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f776,f278]) ).
fof(f776,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(sz0z00,smndt0(X0)),sz0z00) ),
inference(resolution,[],[f765,f258]) ).
fof(f780,plain,
! [X2,X3,X0,X1] :
( sz0z00 = sdtasdt0(sdtpldt0(sz0z00,sK21(X0,X1,X2,X3)),sz0z00)
| ~ sP9(X0,X1,X2,X3) ),
inference(resolution,[],[f765,f204]) ).
fof(f779,plain,
! [X2,X0,X1] :
( sz0z00 = sdtasdt0(sdtpldt0(sz0z00,sK20(X0,X1,X2)),sz0z00)
| ~ sP10(X0,X1,X2) ),
inference(resolution,[],[f765,f201]) ).
fof(f778,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sdtpldt0(sz0z00,sK19(X0,X1)),sz0z00)
| ~ sP11(X0,X1) ),
inference(resolution,[],[f765,f198]) ).
fof(f777,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sdtpldt0(sz0z00,sdtlbdtrb0(X0,X1)),sz0z00)
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f765,f273]) ).
fof(f775,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sdtpldt0(sz0z00,sdtasdt0(X0,X1)),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f765,f279]) ).
fof(f774,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sdtpldt0(sz0z00,sdtpldt0(X0,X1)),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f765,f278]) ).
fof(f765,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(sz0z00,X0),sz0z00) ),
inference(resolution,[],[f358,f244]) ).
fof(f772,plain,
! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(sK21(X1,X2,X3,X4),X0),sz0z00)
| ~ sP9(X1,X2,X3,X4) ),
inference(resolution,[],[f358,f204]) ).
fof(f771,plain,
! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(sK20(X1,X2,X3),X0),sz0z00)
| ~ sP10(X1,X2,X3) ),
inference(resolution,[],[f358,f201]) ).
fof(f770,plain,
! [X2,X0,X1] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(sK19(X1,X2),X0),sz0z00)
| ~ sP11(X1,X2) ),
inference(resolution,[],[f358,f198]) ).
fof(f769,plain,
! [X2,X0,X1] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(sdtlbdtrb0(X1,X2),X0),sz0z00)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ),
inference(resolution,[],[f358,f273]) ).
fof(f768,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(smndt0(X1),X0),sz0z00)
| ~ aScalar0(X1) ),
inference(resolution,[],[f358,f258]) ).
fof(f767,plain,
! [X2,X0,X1] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(sdtasdt0(X1,X2),X0),sz0z00)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(resolution,[],[f358,f279]) ).
fof(f766,plain,
! [X2,X0,X1] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(sdtpldt0(X1,X2),X0),sz0z00)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(resolution,[],[f358,f278]) ).
fof(f358,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(X1,X0),sz0z00) ),
inference(resolution,[],[f278,f329]) ).
fof(f762,plain,
! [X2,X3,X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,smndt0(sK21(X0,X1,X2,X3))))
| ~ sP9(X0,X1,X2,X3) ),
inference(resolution,[],[f749,f204]) ).
fof(f761,plain,
! [X2,X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,smndt0(sK20(X0,X1,X2))))
| ~ sP10(X0,X1,X2) ),
inference(resolution,[],[f749,f201]) ).
fof(f760,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,smndt0(sK19(X0,X1))))
| ~ sP11(X0,X1) ),
inference(resolution,[],[f749,f198]) ).
fof(f759,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,smndt0(sdtlbdtrb0(X0,X1))))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f749,f273]) ).
fof(f757,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,smndt0(sdtasdt0(X0,X1))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f749,f279]) ).
fof(f756,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,smndt0(sdtpldt0(X0,X1))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f749,f278]) ).
fof(f749,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,smndt0(X0))) ),
inference(resolution,[],[f738,f258]) ).
fof(f753,plain,
! [X2,X3,X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,sK21(X0,X1,X2,X3)))
| ~ sP9(X0,X1,X2,X3) ),
inference(resolution,[],[f738,f204]) ).
fof(f752,plain,
! [X2,X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,sK20(X0,X1,X2)))
| ~ sP10(X0,X1,X2) ),
inference(resolution,[],[f738,f201]) ).
fof(f751,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,sK19(X0,X1)))
| ~ sP11(X0,X1) ),
inference(resolution,[],[f738,f198]) ).
fof(f750,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,sdtlbdtrb0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f738,f273]) ).
fof(f748,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,sdtasdt0(X0,X1)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f738,f279]) ).
fof(f747,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,sdtpldt0(X0,X1)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f738,f278]) ).
fof(f738,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sz0z00,X0)) ),
inference(resolution,[],[f357,f244]) ).
fof(f745,plain,
! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sK21(X1,X2,X3,X4),X0))
| ~ sP9(X1,X2,X3,X4) ),
inference(resolution,[],[f357,f204]) ).
fof(f744,plain,
! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sK20(X1,X2,X3),X0))
| ~ sP10(X1,X2,X3) ),
inference(resolution,[],[f357,f201]) ).
fof(f743,plain,
! [X2,X0,X1] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sK19(X1,X2),X0))
| ~ sP11(X1,X2) ),
inference(resolution,[],[f357,f198]) ).
fof(f742,plain,
! [X2,X0,X1] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sdtlbdtrb0(X1,X2),X0))
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ),
inference(resolution,[],[f357,f273]) ).
fof(f741,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(smndt0(X1),X0))
| ~ aScalar0(X1) ),
inference(resolution,[],[f357,f258]) ).
fof(f740,plain,
! [X2,X0,X1] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sdtasdt0(X1,X2),X0))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(resolution,[],[f357,f279]) ).
fof(f739,plain,
! [X2,X0,X1] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(X1,X2),X0))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(resolution,[],[f357,f278]) ).
fof(f357,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(X1,X0)) ),
inference(resolution,[],[f278,f330]) ).
fof(f733,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(X1,X0) = sdtlbdtrb0(sziznziztdt0(X1),X0)
| ~ sP15(X1) ),
inference(resolution,[],[f254,f298]) ).
fof(f254,plain,
! [X3,X0,X1] :
( ~ sP14(X0,X1)
| ~ aNaturalNumber0(X3)
| sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3) ),
inference(cnf_transformation,[],[f184]) ).
fof(f691,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(X0)),sz0z00) ),
inference(resolution,[],[f675,f248]) ).
fof(f722,plain,
! [X0] :
( sz0z00 = sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(sK32(X0))),sz0z00)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f688,f270]) ).
fof(f688,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz0z00 = sdtasdt0(sdtlbdtrb0(xt,szszuzczcdt0(X0)),sz0z00) ),
inference(resolution,[],[f675,f246]) ).
fof(f681,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(X0)),sz0z00) ),
inference(resolution,[],[f674,f248]) ).
fof(f706,plain,
! [X0] :
( sz0z00 = sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(sK32(X0))),sz0z00)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f678,f270]) ).
fof(f678,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz0z00 = sdtasdt0(sdtlbdtrb0(xs,szszuzczcdt0(X0)),sz0z00) ),
inference(resolution,[],[f674,f246]) ).
fof(f687,plain,
sz0z00 = sdtasdt0(sdtlbdtrb0(xt,sz00),sz0z00),
inference(resolution,[],[f675,f243]) ).
fof(f692,plain,
! [X0] :
( sz0z00 = sdtasdt0(sdtlbdtrb0(xt,sK32(X0)),sz0z00)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f675,f270]) ).
fof(f675,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz0z00 = sdtasdt0(sdtlbdtrb0(xt,X0),sz0z00) ),
inference(resolution,[],[f353,f241]) ).
fof(f203,plain,
! [X2,X0,X1] :
( sP9(X2,sK20(X0,X1,X2),X1,X0)
| ~ sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f138]) ).
fof(f677,plain,
sz0z00 = sdtasdt0(sdtlbdtrb0(xs,sz00),sz0z00),
inference(resolution,[],[f674,f243]) ).
fof(f682,plain,
! [X0] :
( sz0z00 = sdtasdt0(sdtlbdtrb0(xs,sK32(X0)),sz0z00)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f674,f270]) ).
fof(f674,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz0z00 = sdtasdt0(sdtlbdtrb0(xs,X0),sz0z00) ),
inference(resolution,[],[f353,f240]) ).
fof(f676,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sz0z00 = sdtasdt0(sdtlbdtrb0(sK18(X1),X0),sz0z00)
| ~ sP12(X1) ),
inference(resolution,[],[f353,f193]) ).
fof(f673,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sz0z00 = sdtasdt0(sdtlbdtrb0(sziznziztdt0(X1),X0),sz0z00)
| ~ sP15(X1) ),
inference(resolution,[],[f353,f326]) ).
fof(f353,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aNaturalNumber0(X0)
| sz0z00 = sdtasdt0(sdtlbdtrb0(X1,X0),sz0z00) ),
inference(resolution,[],[f273,f329]) ).
fof(f627,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xt,aDimensionOf0(X0))) ),
inference(resolution,[],[f609,f248]) ).
fof(f658,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xt,szszuzczcdt0(sK32(X0))))
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f624,f270]) ).
fof(f624,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xt,szszuzczcdt0(X0))) ),
inference(resolution,[],[f609,f246]) ).
fof(f617,plain,
! [X0] :
( ~ aVector0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xs,aDimensionOf0(X0))) ),
inference(resolution,[],[f608,f248]) ).
fof(f195,plain,
! [X2,X0] :
( ~ sP12(X0)
| ~ aNaturalNumber0(X2)
| sdtlbdtrb0(xt,X2) = sdtlbdtrb0(sK18(X0),X2) ),
inference(cnf_transformation,[],[f131]) ).
fof(f642,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xs,szszuzczcdt0(sK32(X0))))
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f614,f270]) ).
fof(f614,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xs,szszuzczcdt0(X0))) ),
inference(resolution,[],[f608,f246]) ).
fof(f623,plain,
sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xt,sz00)),
inference(resolution,[],[f609,f243]) ).
fof(f628,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xt,sK32(X0)))
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f609,f270]) ).
fof(f609,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xt,X0)) ),
inference(resolution,[],[f352,f241]) ).
fof(f613,plain,
sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xs,sz00)),
inference(resolution,[],[f608,f243]) ).
fof(f618,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xs,sK32(X0)))
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f608,f270]) ).
fof(f608,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(xs,X0)) ),
inference(resolution,[],[f352,f240]) ).
fof(f612,plain,
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)),sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)))
| ~ aScalar0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)))
| ~ aScalar0(sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
inference(resolution,[],[f238,f283]) ).
fof(f611,plain,
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)),sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)))
| ~ aScalar0(sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
| ~ aScalar0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt))) ),
inference(resolution,[],[f238,f283]) ).
fof(f238,plain,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(cnf_transformation,[],[f118]) ).
fof(f610,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(sK18(X1),X0))
| ~ sP12(X1) ),
inference(resolution,[],[f352,f193]) ).
fof(f607,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(sziznziztdt0(X1),X0))
| ~ sP15(X1) ),
inference(resolution,[],[f352,f326]) ).
fof(f352,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aNaturalNumber0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtlbdtrb0(X1,X0)) ),
inference(resolution,[],[f273,f330]) ).
fof(f603,plain,
! [X2,X3,X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sK21(X0,X1,X2,X3)))))
| ~ sP9(X0,X1,X2,X3) ),
inference(resolution,[],[f449,f204]) ).
fof(f602,plain,
! [X2,X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sK20(X0,X1,X2)))))
| ~ sP10(X0,X1,X2) ),
inference(resolution,[],[f449,f201]) ).
fof(f601,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sK19(X0,X1)))))
| ~ sP11(X0,X1) ),
inference(resolution,[],[f449,f198]) ).
fof(f600,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtlbdtrb0(X0,X1)))))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f449,f273]) ).
fof(f598,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtasdt0(X0,X1)))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f449,f279]) ).
fof(f597,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(sdtpldt0(X0,X1)))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f449,f278]) ).
fof(f449,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(smndt0(X0)))) ),
inference(resolution,[],[f394,f258]) ).
fof(f592,plain,
! [X2,X3,X0,X1] :
( sz0z00 = sdtasdt0(smndt0(smndt0(smndt0(sK21(X0,X1,X2,X3)))),sz0z00)
| ~ sP9(X0,X1,X2,X3) ),
inference(resolution,[],[f440,f204]) ).
fof(f591,plain,
! [X2,X0,X1] :
( sz0z00 = sdtasdt0(smndt0(smndt0(smndt0(sK20(X0,X1,X2)))),sz0z00)
| ~ sP10(X0,X1,X2) ),
inference(resolution,[],[f440,f201]) ).
fof(f590,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(smndt0(smndt0(smndt0(sK19(X0,X1)))),sz0z00)
| ~ sP11(X0,X1) ),
inference(resolution,[],[f440,f198]) ).
fof(f589,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(smndt0(smndt0(smndt0(sdtlbdtrb0(X0,X1)))),sz0z00)
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f440,f273]) ).
fof(f587,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(smndt0(smndt0(smndt0(sdtasdt0(X0,X1)))),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f440,f279]) ).
fof(f586,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(smndt0(smndt0(smndt0(sdtpldt0(X0,X1)))),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f440,f278]) ).
fof(f440,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(smndt0(smndt0(smndt0(X0))),sz0z00) ),
inference(resolution,[],[f387,f258]) ).
fof(f563,plain,
! [X0] :
( ~ sP12(X0)
| sz0z00 = sdtasdt0(sz0z00,sK19(sK18(X0),X0)) ),
inference(resolution,[],[f344,f197]) ).
fof(f562,plain,
! [X0] :
( ~ sP12(X0)
| sz0z00 = sdtasdt0(sK19(sK18(X0),X0),sz0z00) ),
inference(resolution,[],[f340,f197]) ).
fof(f581,plain,
! [X2,X3,X0,X1] :
( sz0z00 = sdtpldt0(smndt0(smndt0(sK21(X0,X1,X2,X3))),smndt0(sK21(X0,X1,X2,X3)))
| ~ sP9(X0,X1,X2,X3) ),
inference(resolution,[],[f380,f204]) ).
fof(f580,plain,
! [X2,X0,X1] :
( sz0z00 = sdtpldt0(smndt0(smndt0(sK20(X0,X1,X2))),smndt0(sK20(X0,X1,X2)))
| ~ sP10(X0,X1,X2) ),
inference(resolution,[],[f380,f201]) ).
fof(f579,plain,
! [X0,X1] :
( sz0z00 = sdtpldt0(smndt0(smndt0(sK19(X0,X1))),smndt0(sK19(X0,X1)))
| ~ sP11(X0,X1) ),
inference(resolution,[],[f380,f198]) ).
fof(f578,plain,
! [X0,X1] :
( sz0z00 = sdtpldt0(smndt0(smndt0(sdtlbdtrb0(X0,X1))),smndt0(sdtlbdtrb0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f380,f273]) ).
fof(f577,plain,
! [X0] :
( sz0z00 = sdtpldt0(smndt0(smndt0(smndt0(X0))),smndt0(smndt0(X0)))
| ~ aScalar0(X0) ),
inference(resolution,[],[f380,f258]) ).
fof(f576,plain,
! [X0,X1] :
( sz0z00 = sdtpldt0(smndt0(smndt0(sdtasdt0(X0,X1))),smndt0(sdtasdt0(X0,X1)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f380,f279]) ).
fof(f575,plain,
! [X0,X1] :
( sz0z00 = sdtpldt0(smndt0(smndt0(sdtpldt0(X0,X1))),smndt0(sdtpldt0(X0,X1)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f380,f278]) ).
fof(f380,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(X0)) ),
inference(resolution,[],[f350,f258]) ).
fof(f571,plain,
! [X2,X3,X0,X1] :
( sz0z00 = sdtpldt0(smndt0(sK21(X0,X1,X2,X3)),smndt0(smndt0(sK21(X0,X1,X2,X3))))
| ~ sP9(X0,X1,X2,X3) ),
inference(resolution,[],[f373,f204]) ).
fof(f570,plain,
! [X2,X0,X1] :
( sz0z00 = sdtpldt0(smndt0(sK20(X0,X1,X2)),smndt0(smndt0(sK20(X0,X1,X2))))
| ~ sP10(X0,X1,X2) ),
inference(resolution,[],[f373,f201]) ).
fof(f569,plain,
! [X0,X1] :
( sz0z00 = sdtpldt0(smndt0(sK19(X0,X1)),smndt0(smndt0(sK19(X0,X1))))
| ~ sP11(X0,X1) ),
inference(resolution,[],[f373,f198]) ).
fof(f568,plain,
! [X0,X1] :
( sz0z00 = sdtpldt0(smndt0(sdtlbdtrb0(X0,X1)),smndt0(smndt0(sdtlbdtrb0(X0,X1))))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f373,f273]) ).
fof(f567,plain,
! [X0] :
( sz0z00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(smndt0(smndt0(X0))))
| ~ aScalar0(X0) ),
inference(resolution,[],[f373,f258]) ).
fof(f566,plain,
! [X0,X1] :
( sz0z00 = sdtpldt0(smndt0(sdtasdt0(X0,X1)),smndt0(smndt0(sdtasdt0(X0,X1))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f373,f279]) ).
fof(f565,plain,
! [X0,X1] :
( sz0z00 = sdtpldt0(smndt0(sdtpldt0(X0,X1)),smndt0(smndt0(sdtpldt0(X0,X1))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f373,f278]) ).
fof(f373,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(X0),smndt0(smndt0(X0))) ),
inference(resolution,[],[f349,f258]) ).
fof(f344,plain,
! [X0,X1] :
( ~ sP11(X0,X1)
| sz0z00 = sdtasdt0(sz0z00,sK19(X0,X1)) ),
inference(resolution,[],[f330,f198]) ).
fof(f340,plain,
! [X0,X1] :
( ~ sP11(X0,X1)
| sz0z00 = sdtasdt0(sK19(X0,X1),sz0z00) ),
inference(resolution,[],[f329,f198]) ).
fof(f561,plain,
! [X2,X3,X0,X1] :
( ~ sP9(X0,X1,X2,X3)
| sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(sK21(X0,X1,X2,X3)))) ),
inference(resolution,[],[f204,f394]) ).
fof(f560,plain,
! [X2,X3,X0,X1] :
( ~ sP9(X0,X1,X2,X3)
| sz0z00 = sdtasdt0(smndt0(smndt0(sK21(X0,X1,X2,X3))),sz0z00) ),
inference(resolution,[],[f204,f387]) ).
fof(f559,plain,
! [X2,X3,X0,X1] :
( ~ sP9(X0,X1,X2,X3)
| sz0z00 = sdtpldt0(smndt0(sK21(X0,X1,X2,X3)),sK21(X0,X1,X2,X3)) ),
inference(resolution,[],[f204,f350]) ).
fof(f558,plain,
! [X2,X3,X0,X1] :
( ~ sP9(X0,X1,X2,X3)
| sz0z00 = sdtpldt0(sK21(X0,X1,X2,X3),smndt0(sK21(X0,X1,X2,X3))) ),
inference(resolution,[],[f204,f349]) ).
fof(f557,plain,
! [X2,X3,X0,X1] :
( ~ sP9(X0,X1,X2,X3)
| smndt0(sK21(X0,X1,X2,X3)) = smndt0(smndt0(smndt0(sK21(X0,X1,X2,X3)))) ),
inference(resolution,[],[f204,f346]) ).
fof(f556,plain,
! [X2,X3,X0,X1] :
( ~ sP9(X0,X1,X2,X3)
| sz0z00 = sdtasdt0(sz0z00,smndt0(sK21(X0,X1,X2,X3))) ),
inference(resolution,[],[f204,f343]) ).
fof(f555,plain,
! [X2,X3,X0,X1] :
( ~ sP9(X0,X1,X2,X3)
| sz0z00 = sdtasdt0(smndt0(sK21(X0,X1,X2,X3)),sz0z00) ),
inference(resolution,[],[f204,f339]) ).
fof(f554,plain,
! [X2,X3,X0,X1] :
( ~ sP9(X0,X1,X2,X3)
| smndt0(sK21(X0,X1,X2,X3)) = sdtpldt0(sz0z00,smndt0(sK21(X0,X1,X2,X3))) ),
inference(resolution,[],[f204,f336]) ).
fof(f553,plain,
! [X2,X3,X0,X1] :
( ~ sP9(X0,X1,X2,X3)
| smndt0(sK21(X0,X1,X2,X3)) = sdtpldt0(smndt0(sK21(X0,X1,X2,X3)),sz0z00) ),
inference(resolution,[],[f204,f333]) ).
fof(f552,plain,
! [X2,X3,X0,X1] :
( ~ sP9(X0,X1,X2,X3)
| sK21(X0,X1,X2,X3) = smndt0(smndt0(sK21(X0,X1,X2,X3))) ),
inference(resolution,[],[f204,f331]) ).
fof(f551,plain,
! [X2,X3,X0,X1] :
( ~ sP9(X0,X1,X2,X3)
| sz0z00 = sdtasdt0(sz0z00,sK21(X0,X1,X2,X3)) ),
inference(resolution,[],[f204,f330]) ).
fof(f550,plain,
! [X2,X3,X0,X1] :
( ~ sP9(X0,X1,X2,X3)
| sz0z00 = sdtasdt0(sK21(X0,X1,X2,X3),sz0z00) ),
inference(resolution,[],[f204,f329]) ).
fof(f549,plain,
! [X2,X3,X0,X1] :
( ~ sP9(X0,X1,X2,X3)
| sK21(X0,X1,X2,X3) = sdtpldt0(sz0z00,sK21(X0,X1,X2,X3)) ),
inference(resolution,[],[f204,f328]) ).
fof(f548,plain,
! [X2,X3,X0,X1] :
( ~ sP9(X0,X1,X2,X3)
| sK21(X0,X1,X2,X3) = sdtpldt0(sK21(X0,X1,X2,X3),sz0z00) ),
inference(resolution,[],[f204,f327]) ).
fof(f204,plain,
! [X2,X3,X0,X1] :
( aScalar0(sK21(X0,X1,X2,X3))
| ~ sP9(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f142]) ).
fof(f469,plain,
( sz00 != szszuzczcdt0(sz00)
| ~ aNaturalNumber0(sK32(sz00)) ),
inference(inner_rewriting,[],[f466]) ).
fof(f468,plain,
( aNaturalNumber0(szszuzczcdt0(sz00))
| ~ aNaturalNumber0(sK32(szszuzczcdt0(sz00))) ),
inference(superposition,[],[f246,f460]) ).
fof(f467,plain,
( iLess0(sK32(szszuzczcdt0(sz00)),szszuzczcdt0(sz00))
| ~ aNaturalNumber0(sK32(szszuzczcdt0(sz00))) ),
inference(superposition,[],[f245,f460]) ).
fof(f466,plain,
( sz00 != szszuzczcdt0(sz00)
| ~ aNaturalNumber0(sK32(szszuzczcdt0(sz00))) ),
inference(superposition,[],[f247,f460]) ).
fof(f460,plain,
szszuzczcdt0(sz00) = szszuzczcdt0(sK32(szszuzczcdt0(sz00))),
inference(resolution,[],[f459,f243]) ).
fof(f283,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETot) ).
fof(f463,plain,
! [X0] :
( szszuzczcdt0(sK32(X0)) = szszuzczcdt0(sK32(szszuzczcdt0(sK32(X0))))
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f459,f270]) ).
fof(f459,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK32(szszuzczcdt0(X0))) ),
inference(subsumption_resolution,[],[f456,f247]) ).
fof(f456,plain,
! [X0] :
( sz00 = szszuzczcdt0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK32(szszuzczcdt0(X0)))
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f271,f246]) ).
fof(f458,plain,
! [X0] :
( sz00 = sK32(X0)
| sK32(X0) = szszuzczcdt0(sK32(sK32(X0)))
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(resolution,[],[f271,f270]) ).
fof(f457,plain,
! [X0] :
( sz00 = aDimensionOf0(X0)
| aDimensionOf0(X0) = szszuzczcdt0(sK32(aDimensionOf0(X0)))
| ~ aVector0(X0) ),
inference(resolution,[],[f271,f248]) ).
fof(f271,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| szszuzczcdt0(sK32(X0)) = X0 ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0] :
( ( szszuzczcdt0(sK32(X0)) = X0
& aNaturalNumber0(sK32(X0)) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32])],[f63,f186]) ).
fof(f186,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aNaturalNumber0(X1) )
=> ( szszuzczcdt0(sK32(X0)) = X0
& aNaturalNumber0(sK32(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aNaturalNumber0(X1) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aNaturalNumber0(X1) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ( sz00 != X0
& aNaturalNumber0(X0) )
=> ? [X1] :
( szszuzczcdt0(X1) = X0
& aNaturalNumber0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatExtr) ).
fof(f452,plain,
! [X2,X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(sK20(X0,X1,X2))))
| ~ sP10(X0,X1,X2) ),
inference(resolution,[],[f394,f201]) ).
fof(f451,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(sK19(X0,X1))))
| ~ sP11(X0,X1) ),
inference(resolution,[],[f394,f198]) ).
fof(f450,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(sdtlbdtrb0(X0,X1))))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f394,f273]) ).
fof(f448,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(sdtasdt0(X0,X1))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f394,f279]) ).
fof(f447,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(sdtpldt0(X0,X1))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f394,f278]) ).
fof(f394,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(X0))) ),
inference(resolution,[],[f343,f258]) ).
fof(f443,plain,
! [X2,X0,X1] :
( sz0z00 = sdtasdt0(smndt0(smndt0(sK20(X0,X1,X2))),sz0z00)
| ~ sP10(X0,X1,X2) ),
inference(resolution,[],[f387,f201]) ).
fof(f442,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(smndt0(smndt0(sK19(X0,X1))),sz0z00)
| ~ sP11(X0,X1) ),
inference(resolution,[],[f387,f198]) ).
fof(f441,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(smndt0(smndt0(sdtlbdtrb0(X0,X1))),sz0z00)
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f387,f273]) ).
fof(f439,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(smndt0(smndt0(sdtasdt0(X0,X1))),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f387,f279]) ).
fof(f438,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(smndt0(smndt0(sdtpldt0(X0,X1))),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f387,f278]) ).
fof(f387,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(smndt0(smndt0(X0)),sz0z00) ),
inference(resolution,[],[f339,f258]) ).
fof(f434,plain,
! [X2,X0,X1] :
( smndt0(sK20(X0,X1,X2)) = smndt0(smndt0(smndt0(sK20(X0,X1,X2))))
| ~ sP10(X0,X1,X2) ),
inference(resolution,[],[f346,f201]) ).
fof(f433,plain,
! [X0,X1] :
( smndt0(sK19(X0,X1)) = smndt0(smndt0(smndt0(sK19(X0,X1))))
| ~ sP11(X0,X1) ),
inference(resolution,[],[f346,f198]) ).
fof(f432,plain,
! [X0,X1] :
( smndt0(sdtlbdtrb0(X0,X1)) = smndt0(smndt0(smndt0(sdtlbdtrb0(X0,X1))))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f346,f273]) ).
fof(f430,plain,
! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = smndt0(smndt0(smndt0(sdtasdt0(X0,X1))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f346,f279]) ).
fof(f429,plain,
! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = smndt0(smndt0(smndt0(sdtpldt0(X0,X1))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f346,f278]) ).
fof(f346,plain,
! [X0] :
( ~ aScalar0(X0)
| smndt0(X0) = smndt0(smndt0(smndt0(X0))) ),
inference(resolution,[],[f331,f258]) ).
fof(f426,plain,
! [X2,X0,X1] :
( smndt0(sK20(X0,X1,X2)) = sdtpldt0(sz0z00,smndt0(sK20(X0,X1,X2)))
| ~ sP10(X0,X1,X2) ),
inference(resolution,[],[f336,f201]) ).
fof(f425,plain,
! [X0,X1] :
( smndt0(sK19(X0,X1)) = sdtpldt0(sz0z00,smndt0(sK19(X0,X1)))
| ~ sP11(X0,X1) ),
inference(resolution,[],[f336,f198]) ).
fof(f424,plain,
! [X0,X1] :
( smndt0(sdtlbdtrb0(X0,X1)) = sdtpldt0(sz0z00,smndt0(sdtlbdtrb0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f336,f273]) ).
fof(f422,plain,
! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtpldt0(sz0z00,smndt0(sdtasdt0(X0,X1)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f336,f279]) ).
fof(f421,plain,
! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtpldt0(sz0z00,smndt0(sdtpldt0(X0,X1)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f336,f278]) ).
fof(f336,plain,
! [X0] :
( ~ aScalar0(X0)
| smndt0(X0) = sdtpldt0(sz0z00,smndt0(X0)) ),
inference(resolution,[],[f328,f258]) ).
fof(f418,plain,
! [X2,X0,X1] :
( smndt0(sK20(X0,X1,X2)) = sdtpldt0(smndt0(sK20(X0,X1,X2)),sz0z00)
| ~ sP10(X0,X1,X2) ),
inference(resolution,[],[f333,f201]) ).
fof(f417,plain,
! [X0,X1] :
( smndt0(sK19(X0,X1)) = sdtpldt0(smndt0(sK19(X0,X1)),sz0z00)
| ~ sP11(X0,X1) ),
inference(resolution,[],[f333,f198]) ).
fof(f416,plain,
! [X0,X1] :
( smndt0(sdtlbdtrb0(X0,X1)) = sdtpldt0(smndt0(sdtlbdtrb0(X0,X1)),sz0z00)
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f333,f273]) ).
fof(f414,plain,
! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtpldt0(smndt0(sdtasdt0(X0,X1)),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f333,f279]) ).
fof(f413,plain,
! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtpldt0(smndt0(sdtpldt0(X0,X1)),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f333,f278]) ).
fof(f333,plain,
! [X0] :
( ~ aScalar0(X0)
| smndt0(X0) = sdtpldt0(smndt0(X0),sz0z00) ),
inference(resolution,[],[f327,f258]) ).
fof(f411,plain,
! [X0] :
( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0)))
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(resolution,[],[f410,f257]) ).
fof(f410,plain,
! [X0] :
( ~ sP15(X0)
| aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0))) ),
inference(resolution,[],[f253,f298]) ).
fof(f253,plain,
! [X0,X1] :
( ~ sP14(X0,X1)
| aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1)) ),
inference(cnf_transformation,[],[f184]) ).
fof(f251,plain,
! [X0,X1] :
( ~ sP14(X0,X1)
| sziznziztdt0(X0) = X1
| ~ sP15(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0] :
( ! [X1] :
( ( sziznziztdt0(X0) = X1
| ~ sP14(X0,X1) )
& ( sP14(X0,X1)
| sziznziztdt0(X0) != X1 ) )
| ~ sP15(X0) ),
inference(nnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( sziznziztdt0(X0) = X1
<=> sP14(X0,X1) )
| ~ sP15(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f407,plain,
! [X2,X0,X1] :
( ~ sP10(X0,X1,X2)
| sz0z00 = sdtpldt0(smndt0(sK20(X0,X1,X2)),sK20(X0,X1,X2)) ),
inference(resolution,[],[f201,f350]) ).
fof(f406,plain,
! [X2,X0,X1] :
( ~ sP10(X0,X1,X2)
| sz0z00 = sdtpldt0(sK20(X0,X1,X2),smndt0(sK20(X0,X1,X2))) ),
inference(resolution,[],[f201,f349]) ).
fof(f405,plain,
! [X2,X0,X1] :
( ~ sP10(X0,X1,X2)
| sz0z00 = sdtasdt0(sz0z00,smndt0(sK20(X0,X1,X2))) ),
inference(resolution,[],[f201,f343]) ).
fof(f404,plain,
! [X2,X0,X1] :
( ~ sP10(X0,X1,X2)
| sz0z00 = sdtasdt0(smndt0(sK20(X0,X1,X2)),sz0z00) ),
inference(resolution,[],[f201,f339]) ).
fof(f403,plain,
! [X2,X0,X1] :
( ~ sP10(X0,X1,X2)
| sK20(X0,X1,X2) = smndt0(smndt0(sK20(X0,X1,X2))) ),
inference(resolution,[],[f201,f331]) ).
fof(f402,plain,
! [X2,X0,X1] :
( ~ sP10(X0,X1,X2)
| sz0z00 = sdtasdt0(sz0z00,sK20(X0,X1,X2)) ),
inference(resolution,[],[f201,f330]) ).
fof(f401,plain,
! [X2,X0,X1] :
( ~ sP10(X0,X1,X2)
| sz0z00 = sdtasdt0(sK20(X0,X1,X2),sz0z00) ),
inference(resolution,[],[f201,f329]) ).
fof(f400,plain,
! [X2,X0,X1] :
( ~ sP10(X0,X1,X2)
| sK20(X0,X1,X2) = sdtpldt0(sz0z00,sK20(X0,X1,X2)) ),
inference(resolution,[],[f201,f328]) ).
fof(f399,plain,
! [X2,X0,X1] :
( ~ sP10(X0,X1,X2)
| sK20(X0,X1,X2) = sdtpldt0(sK20(X0,X1,X2),sz0z00) ),
inference(resolution,[],[f201,f327]) ).
fof(f201,plain,
! [X2,X0,X1] :
( aScalar0(sK20(X0,X1,X2))
| ~ sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f138]) ).
fof(f200,plain,
! [X0,X1] :
( sP10(X1,X0,sK19(X0,X1))
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f135]) ).
fof(f395,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(sdtlbdtrb0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f343,f273]) ).
fof(f393,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(sdtasdt0(X0,X1)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f343,f279]) ).
fof(f392,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(sdtpldt0(X0,X1)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f343,f278]) ).
fof(f343,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,smndt0(X0)) ),
inference(resolution,[],[f330,f258]) ).
fof(f388,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(smndt0(sdtlbdtrb0(X0,X1)),sz0z00)
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f339,f273]) ).
fof(f386,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(smndt0(sdtasdt0(X0,X1)),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f339,f279]) ).
fof(f385,plain,
! [X0,X1] :
( sz0z00 = sdtasdt0(smndt0(sdtpldt0(X0,X1)),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f339,f278]) ).
fof(f339,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(smndt0(X0),sz0z00) ),
inference(resolution,[],[f329,f258]) ).
fof(f382,plain,
! [X0,X1] :
( sz0z00 = sdtpldt0(smndt0(sK19(X0,X1)),sK19(X0,X1))
| ~ sP11(X0,X1) ),
inference(resolution,[],[f350,f198]) ).
fof(f381,plain,
! [X0,X1] :
( sz0z00 = sdtpldt0(smndt0(sdtlbdtrb0(X0,X1)),sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f350,f273]) ).
fof(f379,plain,
! [X0,X1] :
( sz0z00 = sdtpldt0(smndt0(sdtasdt0(X0,X1)),sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f350,f279]) ).
fof(f378,plain,
! [X0,X1] :
( sz0z00 = sdtpldt0(smndt0(sdtpldt0(X0,X1)),sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f350,f278]) ).
fof(f350,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(X0),X0) ),
inference(resolution,[],[f266,f269]) ).
fof(f375,plain,
! [X0,X1] :
( sz0z00 = sdtpldt0(sK19(X0,X1),smndt0(sK19(X0,X1)))
| ~ sP11(X0,X1) ),
inference(resolution,[],[f349,f198]) ).
fof(f374,plain,
! [X0,X1] :
( sz0z00 = sdtpldt0(sdtlbdtrb0(X0,X1),smndt0(sdtlbdtrb0(X0,X1)))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(resolution,[],[f349,f273]) ).
fof(f372,plain,
! [X0,X1] :
( sz0z00 = sdtpldt0(sdtasdt0(X0,X1),smndt0(sdtasdt0(X0,X1)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f349,f279]) ).
fof(f371,plain,
! [X0,X1] :
( sz0z00 = sdtpldt0(sdtpldt0(X0,X1),smndt0(sdtpldt0(X0,X1)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(resolution,[],[f349,f278]) ).
fof(f349,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(X0,smndt0(X0)) ),
inference(resolution,[],[f265,f269]) ).
fof(f367,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz0z00) ),
inference(resolution,[],[f279,f327]) ).
fof(f366,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sz0z00,sdtasdt0(X1,X0)) ),
inference(resolution,[],[f279,f328]) ).
fof(f363,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,X0) = smndt0(smndt0(sdtasdt0(X1,X0))) ),
inference(resolution,[],[f279,f331]) ).
fof(f279,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
fof(f360,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz0z00) ),
inference(resolution,[],[f278,f327]) ).
fof(f359,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sz0z00,sdtpldt0(X1,X0)) ),
inference(resolution,[],[f278,f328]) ).
fof(f356,plain,
! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(X1,X0) = smndt0(smndt0(sdtpldt0(X1,X0))) ),
inference(resolution,[],[f278,f331]) ).
fof(f278,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSumSc) ).
fof(f355,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aVector0(X1)
| sdtlbdtrb0(X1,X0) = sdtpldt0(sdtlbdtrb0(X1,X0),sz0z00) ),
inference(resolution,[],[f273,f327]) ).
fof(f354,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aVector0(X1)
| sdtlbdtrb0(X1,X0) = sdtpldt0(sz0z00,sdtlbdtrb0(X1,X0)) ),
inference(resolution,[],[f273,f328]) ).
fof(f351,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aVector0(X1)
| sdtlbdtrb0(X1,X0) = smndt0(smndt0(sdtlbdtrb0(X1,X0))) ),
inference(resolution,[],[f273,f331]) ).
fof(f273,plain,
! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aVector0(X0) )
=> aScalar0(sdtlbdtrb0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mElmSc) ).
fof(f270,plain,
! [X0] :
( aNaturalNumber0(sK32(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f266,plain,
! [X0] :
( ~ sP16(X0)
| sz0z00 = sdtpldt0(smndt0(X0),X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0] :
( ( sz0z00 = smndt0(sz0z00)
& smndt0(smndt0(X0)) = X0
& sz0z00 = sdtpldt0(smndt0(X0),X0)
& sz0z00 = sdtpldt0(X0,smndt0(X0))
& sz0z00 = sdtasdt0(sz0z00,X0)
& sz0z00 = sdtasdt0(X0,sz0z00)
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 )
| ~ sP16(X0) ),
inference(nnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ( sz0z00 = smndt0(sz0z00)
& smndt0(smndt0(X0)) = X0
& sz0z00 = sdtpldt0(smndt0(X0),X0)
& sz0z00 = sdtpldt0(X0,smndt0(X0))
& sz0z00 = sdtasdt0(sz0z00,X0)
& sz0z00 = sdtasdt0(X0,sz0z00)
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 )
| ~ sP16(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f265,plain,
! [X0] :
( ~ sP16(X0)
| sz0z00 = sdtpldt0(X0,smndt0(X0)) ),
inference(cnf_transformation,[],[f185]) ).
fof(f257,plain,
! [X0] :
( sP15(X0)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( sP15(X0)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(definition_folding,[],[f57,f120,f119]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( sziznziztdt0(X0) = X1
<=> ( ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) ) )
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ! [X1] :
( sziznziztdt0(X0) = X1
<=> ( ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) ) )
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( aVector0(X0)
=> ( sz00 != aDimensionOf0(X0)
=> ! [X1] :
( sziznziztdt0(X0) = X1
<=> ( ! [X2] :
( aNaturalNumber0(X2)
=> sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefInit) ).
fof(f347,plain,
! [X0,X1] :
( sK19(X0,X1) = smndt0(smndt0(sK19(X0,X1)))
| ~ sP11(X0,X1) ),
inference(resolution,[],[f331,f198]) ).
fof(f331,plain,
! [X0] :
( ~ aScalar0(X0)
| smndt0(smndt0(X0)) = X0 ),
inference(resolution,[],[f267,f269]) ).
fof(f330,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,X0) ),
inference(resolution,[],[f264,f269]) ).
fof(f338,plain,
sz0z00 = sdtasdt0(sz0z00,sz0z00),
inference(resolution,[],[f329,f244]) ).
fof(f329,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(X0,sz0z00) ),
inference(resolution,[],[f263,f269]) ).
fof(f337,plain,
! [X0,X1] :
( sK19(X0,X1) = sdtpldt0(sz0z00,sK19(X0,X1))
| ~ sP11(X0,X1) ),
inference(resolution,[],[f328,f198]) ).
fof(f328,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sz0z00,X0) = X0 ),
inference(resolution,[],[f262,f269]) ).
fof(f332,plain,
sz0z00 = sdtpldt0(sz0z00,sz0z00),
inference(resolution,[],[f327,f244]) ).
fof(f334,plain,
! [X0,X1] :
( sK19(X0,X1) = sdtpldt0(sK19(X0,X1),sz0z00)
| ~ sP11(X0,X1) ),
inference(resolution,[],[f327,f198]) ).
fof(f327,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sz0z00) = X0 ),
inference(resolution,[],[f261,f269]) ).
fof(f267,plain,
! [X0] :
( ~ sP16(X0)
| smndt0(smndt0(X0)) = X0 ),
inference(cnf_transformation,[],[f185]) ).
fof(f264,plain,
! [X0] :
( ~ sP16(X0)
| sz0z00 = sdtasdt0(sz0z00,X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f263,plain,
! [X0] :
( ~ sP16(X0)
| sz0z00 = sdtasdt0(X0,sz0z00) ),
inference(cnf_transformation,[],[f185]) ).
fof(f262,plain,
! [X0] :
( ~ sP16(X0)
| sdtpldt0(sz0z00,X0) = X0 ),
inference(cnf_transformation,[],[f185]) ).
fof(f261,plain,
! [X0] :
( ~ sP16(X0)
| sdtpldt0(X0,sz0z00) = X0 ),
inference(cnf_transformation,[],[f185]) ).
fof(f260,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSqPos) ).
fof(f249,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( aVector0(X0)
=> sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScSqPos) ).
fof(f198,plain,
! [X0,X1] :
( aScalar0(sK19(X0,X1))
| ~ sP11(X0,X1) ),
inference(cnf_transformation,[],[f135]) ).
fof(f196,plain,
! [X0] :
( ~ sP12(X0)
| sziznziztdt0(xt) = sK18(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f326,plain,
! [X0] :
( aVector0(sziznziztdt0(X0))
| ~ sP15(X0) ),
inference(resolution,[],[f298,f252]) ).
fof(f298,plain,
! [X0] :
( sP14(X0,sziznziztdt0(X0))
| ~ sP15(X0) ),
inference(equality_resolution,[],[f250]) ).
fof(f250,plain,
! [X0,X1] :
( sP14(X0,X1)
| sziznziztdt0(X0) != X1
| ~ sP15(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f268,plain,
! [X0] :
( sz0z00 = smndt0(sz0z00)
| ~ sP16(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f247,plain,
! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ( sz00 != szszuzczcdt0(X0)
& aNaturalNumber0(szszuzczcdt0(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 != szszuzczcdt0(X0)
& aNaturalNumber0(szszuzczcdt0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNat) ).
fof(f245,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> iLess0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH) ).
fof(f197,plain,
! [X0] :
( sP11(sK18(X0),X0)
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f259,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERef) ).
fof(f258,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aScalar0(X0)
=> aScalar0(smndt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNegSc) ).
fof(f252,plain,
! [X0,X1] :
( ~ sP14(X0,X1)
| aVector0(X1) ),
inference(cnf_transformation,[],[f184]) ).
fof(f248,plain,
! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( aVector0(X0)
=> aNaturalNumber0(aDimensionOf0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDimNat) ).
fof(f246,plain,
! [X0] :
( aNaturalNumber0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f193,plain,
! [X0] :
( aVector0(sK18(X0))
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f269,plain,
! [X0] :
( sP16(X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( sP16(X0)
| ~ aScalar0(X0) ),
inference(definition_folding,[],[f61,f122]) ).
fof(f61,plain,
! [X0] :
( ( sz0z00 = smndt0(sz0z00)
& smndt0(smndt0(X0)) = X0
& sz0z00 = sdtpldt0(smndt0(X0),X0)
& sz0z00 = sdtpldt0(X0,smndt0(X0))
& sz0z00 = sdtasdt0(sz0z00,X0)
& sz0z00 = sdtasdt0(X0,sz0z00)
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 )
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( aScalar0(X0)
=> ( sz0z00 = smndt0(sz0z00)
& smndt0(smndt0(X0)) = X0
& sz0z00 = sdtpldt0(smndt0(X0),X0)
& sz0z00 = sdtpldt0(X0,smndt0(X0))
& sz0z00 = sdtasdt0(sz0z00,X0)
& sz0z00 = sdtasdt0(X0,sz0z00)
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScZero) ).
fof(f188,plain,
( aVector0(sK17)
| ~ sP13 ),
inference(cnf_transformation,[],[f127]) ).
fof(f244,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f243,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNat) ).
fof(f241,plain,
aVector0(xt),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
( aVector0(xt)
& aVector0(xs) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1678) ).
fof(f240,plain,
aVector0(xs),
inference(cnf_transformation,[],[f38]) ).
fof(f297,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X2,X3)
& sdtlseqdt0(sz0z00,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEMonM) ).
fof(f296,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X2,X3)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEMon) ).
fof(f295,plain,
! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1,X2,X3] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
! [X0,X1,X2,X3] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDistr2) ).
fof(f285,plain,
! [X0,X1] :
( sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| X0 = X1
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( X0 = X1
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( X0 = X1
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtasdt0(X0,X0) = sdtasdt0(X1,X1)
& sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSqrt) ).
fof(f277,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( sz00 = aDimensionOf0(X1)
& aDimensionOf0(X0) = aDimensionOf0(X1) )
=> sz0z00 = sdtasasdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSPZ) ).
fof(f276,plain,
! [X0,X1] :
( sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( sz00 != aDimensionOf0(X1)
& aDimensionOf0(X0) = aDimensionOf0(X1) )
=> sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSPN) ).
fof(f275,plain,
! [X0,X1] :
( aDimensionOf0(X0) != aDimensionOf0(X1)
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( sz00 != aDimensionOf0(X1)
& aDimensionOf0(X0) = aDimensionOf0(X1) )
=> aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEqInit) ).
fof(f256,plain,
! [X0,X1] :
( sdtlbdtrb0(X1,sK31(X0,X1)) != sdtlbdtrb0(X0,sK31(X0,X1))
| sP14(X0,X1)
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) ),
inference(cnf_transformation,[],[f184]) ).
fof(f242,plain,
! [X0,X1] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( aDimensionOf0(X0) = aDimensionOf0(X1)
=> ( iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1652) ).
fof(f231,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( aScalar0(sK30(X0,X1,X2,X3,X4,X5,X6,X7,X8))
| ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(cnf_transformation,[],[f178]) ).
fof(f232,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( sdtasdt0(X7,X6) = sK30(X0,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(cnf_transformation,[],[f178]) ).
fof(f235,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(X5,X4),sdtpldt0(X5,X4)),sdtasdt0(sdtpldt0(X3,X2),sdtpldt0(X1,X0)))
| ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(cnf_transformation,[],[f178]) ).
fof(f236,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
| ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(cnf_transformation,[],[f178]) ).
fof(f229,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7)
| sdtasdt0(X5,X6) = sK29(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f174]) ).
fof(f230,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( sP0(X7,X6,X5,X4,X3,X2,sK29(X0,X1,X2,X3,X4,X5,X6,X7),X1,X0)
| ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f174]) ).
fof(f226,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP2(X0,X1,X2,X3,X4,X5,X6)
| sdtasdt0(X5,X4) = sK28(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[],[f170]) ).
fof(f227,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( sP1(sK28(X0,X1,X2,X3,X4,X5,X6),X6,X5,X4,X3,X2,X1,X0)
| ~ sP2(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[],[f170]) ).
fof(f224,plain,
! [X2,X3,X0,X1,X4,X5] :
( sP2(X5,X4,X3,X2,X1,X0,sK27(X0,X1,X2,X3,X4,X5))
| ~ sP3(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f166]) ).
fof(f221,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( sP3(X4,sK26(X0,X1,X2,X3,X4,X5,X6),X3,X2,X1,X0)
| ~ sP4(X0,X1,X2,X3,X4,X5,X6) ),
inference(cnf_transformation,[],[f162]) ).
fof(f218,plain,
! [X2,X3,X0,X1,X4,X5] :
( sP4(sK25(X0,X1,X2,X3,X4,X5),X5,X4,X3,X2,X1,X0)
| ~ sP5(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f158]) ).
fof(f5540,plain,
( sP11(sziznziztdt0(xt),sK17)
| ~ sP12(sK17)
| ~ spl33_1 ),
inference(superposition,[],[f197,f5502]) ).
fof(f5502,plain,
( sziznziztdt0(xt) = sK18(sK17)
| ~ spl33_1 ),
inference(resolution,[],[f5463,f196]) ).
fof(f6220,plain,
( sP10(sK17,sziznziztdt0(xt),sdtlbdtrb0(xs,aDimensionOf0(xs)))
| ~ sP11(sziznziztdt0(xt),sK17)
| ~ spl33_1 ),
inference(superposition,[],[f200,f5839]) ).
fof(f5839,plain,
( sdtlbdtrb0(xs,aDimensionOf0(xs)) = sK19(sziznziztdt0(xt),sK17)
| ~ spl33_1 ),
inference(resolution,[],[f199,f5542]) ).
fof(f8014,plain,
! [X2,X0,X1] : ~ sP10(X0,X1,X2),
inference(resolution,[],[f8013,f203]) ).
fof(f8013,plain,
! [X2,X3,X0,X1] : ~ sP9(X0,X1,X2,X3),
inference(resolution,[],[f8012,f206]) ).
fof(f8012,plain,
! [X2,X3,X0,X1,X4] : ~ sP8(X0,X1,X2,X3,X4),
inference(resolution,[],[f8011,f209]) ).
fof(f8011,plain,
! [X2,X3,X0,X1,X4,X5] : ~ sP7(X0,X1,X2,X3,X4,X5),
inference(resolution,[],[f8010,f212]) ).
fof(f8010,plain,
! [X2,X3,X0,X1,X4] : ~ sP6(X0,X1,X2,X3,X4),
inference(resolution,[],[f8009,f215]) ).
fof(f8009,plain,
! [X2,X3,X0,X1,X4,X5] : ~ sP5(X0,X1,X2,X3,X4,X5),
inference(resolution,[],[f8008,f218]) ).
fof(f8008,plain,
! [X2,X3,X0,X1,X6,X4,X5] : ~ sP4(X0,X1,X2,X3,X4,X5,X6),
inference(resolution,[],[f8007,f221]) ).
fof(f8007,plain,
! [X2,X3,X0,X1,X4,X5] : ~ sP3(X0,X1,X2,X3,X4,X5),
inference(resolution,[],[f8006,f224]) ).
fof(f8006,plain,
! [X2,X3,X0,X1,X6,X4,X5] : ~ sP2(X0,X1,X2,X3,X4,X5,X6),
inference(resolution,[],[f8005,f227]) ).
fof(f8005,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : ~ sP1(X0,X1,X2,X3,X4,X5,X6,X7),
inference(subsumption_resolution,[],[f230,f6356]) ).
fof(f6356,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : ~ sP0(X0,X1,X2,X3,X4,X5,X6,X7,X8),
inference(global_subsumption,[],[f221,f227,f230,f229,f236,f235,f232,f242,f256,f276,f277,f295,f296,f297,f240,f241,f243,f244,f188,f269,f193,f246,f248,f252,f258,f259,f197,f245,f247,f268,f298,f326,f196,f198,f249,f260,f261,f262,f263,f264,f267,f327,f334,f332,f328,f337,f329,f338,f330,f331,f347,f257,f265,f266,f270,f273,f351,f354,f355,f278,f356,f359,f360,f279,f363,f366,f367,f349,f371,f372,f374,f375,f350,f378,f379,f381,f382,f339,f385,f386,f388,f343,f392,f393,f395,f200,f201,f399,f400,f401,f402,f403,f404,f405,f406,f407,f251,f253,f410,f411,f333,f413,f414,f416,f417,f418,f336,f421,f422,f424,f425,f426,f346,f429,f430,f432,f433,f434,f387,f438,f439,f441,f442,f443,f394,f447,f448,f450,f451,f452,f271,f457,f458,f459,f463,f283,f460,f466,f467,f468,f469,f204,f548,f549,f550,f551,f552,f553,f554,f555,f556,f557,f558,f559,f560,f561,f340,f344,f373,f565,f566,f567,f568,f569,f570,f571,f380,f575,f576,f577,f578,f579,f580,f581,f562,f563,f440,f586,f587,f589,f590,f591,f592,f449,f597,f598,f600,f601,f602,f603,f352,f607,f610,f238,f611,f612,f608,f618,f613,f609,f628,f623,f614,f642,f195,f617,f624,f658,f627,f353,f673,f676,f674,f682,f677,f203,f675,f692,f687,f678,f706,f681,f688,f722,f691,f254,f733,f357,f739,f740,f741,f742,f743,f744,f745,f738,f747,f748,f750,f751,f752,f753,f749,f756,f757,f759,f760,f761,f762,f358,f766,f767,f768,f769,f770,f771,f772,f765,f774,f775,f777,f778,f779,f780,f776,f783,f784,f786,f787,f788,f789,f364,f793,f794,f795,f796,f797,f798,f799,f272,f792,f811,f812,f814,f815,f816,f817,f813,f820,f821,f823,f824,f825,f826,f365,f830,f831,f832,f833,f834,f835,f836,f829,f838,f839,f841,f842,f843,f844,f840,f847,f848,f850,f851,f852,f853,f461,f857,f860,f861,f462,f866,f869,f389,f396,f415,f875,f876,f877,f878,f879,f880,f881,f423,f885,f886,f887,f888,f889,f890,f891,f431,f898,f899,f900,f901,f902,f903,f904,f872,f873,f638,f915,f918,f919,f641,f924,f927,f647,f930,f650,f207,f931,f932,f933,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f952,f953,f954,f955,f956,f957,f958,f959,f960,f961,f962,f963,f654,f965,f968,f969,f657,f974,f977,f663,f980,f666,f702,f982,f985,f986,f705,f991,f994,f711,f997,f714,f718,f999,f1002,f1003,f721,f1008,f1011,f727,f1014,f213,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f730,f588,f1049,f1050,f1051,f1052,f1053,f1054,f1055,f1056,f1057,f599,f1063,f1064,f1065,f1066,f1067,f1068,f1069,f1070,f1071,f758,f1077,f1078,f1079,f1080,f1081,f1082,f1083,f1084,f1085,f785,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1097,f1098,f822,f1103,f1104,f1105,f1106,f1107,f1108,f1109,f1110,f1111,f849,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1123,f1124,f274,f1162,f1172,f1173,f1176,f1177,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1187,f1188,f1189,f1190,f1191,f1192,f1193,f1195,f1196,f1198,f1199,f1201,f1202,f1204,f1205,f1169,f1404,f1405,f1170,f280,f1414,f1415,f1416,f1417,f1418,f1423,f1424,f1425,f1426,f1427,f1410,f1411,f281,f1471,f1472,f1473,f1474,f1475,f1480,f1481,f1482,f1483,f1484,f1174,f1518,f1521,f1519,f1520,f1175,f1524,f1527,f1525,f1526,f282,f1531,f1532,f1533,f1534,f1535,f1540,f1541,f1542,f1543,f1544,f284,f1590,f1592,f1530,f1598,f1599,f1600,f1601,f1602,f1607,f1608,f1609,f1610,f1611,f1167,f1614,f1617,f1615,f1616,f1168,f1620,f1623,f1621,f1622,f1171,f1626,f1629,f1627,f1628,f289,f1630,f1631,f291,f1403,f2181,f205,f2182,f1406,f1409,f2183,f1412,f1185,f2184,f2187,f1186,f2190,f2193,f1194,f2196,f2199,f1197,f2202,f2205,f1200,f2208,f2211,f1203,f2214,f2217,f206,f210,f2331,f2332,f2333,f2334,f2335,f2336,f2337,f2338,f2339,f2340,f2341,f2342,f2343,f2344,f2345,f2346,f2347,f2348,f2349,f2350,f2351,f2352,f2353,f2354,f2355,f2356,f2357,f2358,f2359,f2360,f2361,f2362,f2363,f2364,f2365,f2366,f2367,f2368,f2369,f2370,f2371,f2372,f2375,f216,f2455,f2456,f2457,f2458,f2459,f2460,f2461,f2462,f2463,f2464,f2465,f2466,f2467,f2468,f2469,f2470,f2471,f2472,f2473,f2474,f2475,f2476,f2477,f2478,f2479,f2480,f2481,f2482,f2483,f2484,f2485,f2486,f2487,f2488,f2489,f2490,f2491,f2492,f2493,f2494,f2495,f2496,f2499,f222,f2518,f2519,f2520,f2521,f2522,f2523,f2524,f2525,f2526,f2527,f2528,f2529,f2530,f2531,f2532,f2533,f2534,f2535,f2536,f2537,f2538,f2539,f2540,f2541,f2542,f2543,f2544,f2545,f2546,f2547,f2548,f2549,f2550,f2551,f2552,f2553,f2554,f2555,f2556,f2557,f2558,f2559,f2562,f255,f286,f2622,f1010,f993,f976,f926,f202,f868,f729,f713,f665,f649,f194,f239,f2801,f2800,f2804,f2806,f287,f3269,f294,f3300,f3299,f3303,f3305,f3307,f3309,f208,f3332,f214,f219,f3397,f3398,f3399,f3400,f3401,f3402,f3403,f3404,f3405,f3406,f3407,f3408,f3409,f3410,f3411,f3412,f3413,f3414,f3415,f3416,f3417,f3418,f3419,f3420,f3421,f3422,f3423,f3424,f3425,f3426,f3427,f3428,f3429,f3430,f3431,f3432,f3433,f3434,f3435,f3436,f3437,f3438,f3441,f225,f3474,f3475,f3476,f3477,f3478,f3479,f3480,f3481,f3482,f3483,f3484,f3485,f3486,f3487,f3488,f3489,f3490,f3491,f3492,f3493,f3494,f3495,f3496,f3497,f3498,f3499,f3500,f3501,f3502,f3503,f3504,f3505,f3506,f3507,f3508,f3509,f3510,f3511,f3512,f3513,f3514,f3515,f3518,f233,f234,f288,f3757,f3758,f3759,f3760,f3764,f3765,f3769,f3770,f3771,f3772,f3773,f3774,f3775,f3776,f3777,f3778,f290,f3826,f3827,f3828,f3829,f3833,f3834,f3838,f3839,f3840,f3841,f3842,f3843,f3844,f3845,f3846,f3847,f299,f209,f211,f4079,f215,f217,f4237,f223,f212,f4391,f228,f4438,f4439,f4440,f4441,f4442,f4443,f4444,f4445,f4446,f4447,f4448,f4449,f4450,f4451,f4452,f4453,f4454,f4455,f4456,f4457,f4458,f4459,f4460,f4461,f4462,f4463,f4464,f4465,f4466,f4467,f4468,f4469,f4470,f4471,f4472,f4473,f4474,f4475,f4476,f4477,f4478,f4479,f4480,f4481,f4484,f292,f4554,f4555,f4556,f4557,f4561,f4562,f4568,f4569,f4570,f4571,f4572,f4573,f4574,f4575,f4576,f4577,f4578,f293,f4737,f4738,f4739,f4740,f4744,f4745,f4751,f4752,f4753,f4754,f4755,f4756,f4757,f4758,f4759,f4760,f4761,f220,f2803,f2802,f2818,f2817,f2812,f2811,f3538,f1009,f3472,f992,f3469,f975,f3466,f925,f2816,f2815,f2810,f2809,f3335,f867,f3066,f728,f3063,f712,f3060,f664,f3056,f648,f189,f237,f190,f192,f191,f5426,f2891,f2807,f2808,f2813,f2814,f199,f5838,f3074,f5842,f226,f2805,f5859,f5860,f5861,f5862,f275,f6075,f5863,f285,f218,f6223,f224,f6239,f231]) ).
fof(f6239,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP3(X0,X1,X2,X3,X4,X5)
| sdtasdt0(X0,X1) = sK28(X5,X4,X3,X2,X1,X0,sK27(X0,X1,X2,X3,X4,X5)) ),
inference(resolution,[],[f224,f226]) ).
fof(f6223,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP5(X0,X1,X2,X3,X4,X5)
| sdtasdt0(X0,X1) = sK26(sK25(X0,X1,X2,X3,X4,X5),X5,X4,X3,X2,X1,X0) ),
inference(resolution,[],[f218,f220]) ).
fof(f5863,plain,
( aNaturalNumber0(szszuzczcdt0(aDimensionOf0(xs)))
| ~ aNaturalNumber0(sK32(szszuzczcdt0(aDimensionOf0(xs)))) ),
inference(superposition,[],[f246,f2805]) ).
fof(f6075,plain,
! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xs)
| sz00 = aDimensionOf0(X0)
| aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(xt))
| ~ aVector0(X0) ),
inference(subsumption_resolution,[],[f6071,f241]) ).
fof(f6071,plain,
! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xs)
| sz00 = aDimensionOf0(X0)
| aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(xt))
| ~ aVector0(X0)
| ~ aVector0(xt) ),
inference(superposition,[],[f275,f239]) ).
fof(f5862,plain,
( iLess0(sK32(szszuzczcdt0(aDimensionOf0(xs))),szszuzczcdt0(aDimensionOf0(xs)))
| ~ aNaturalNumber0(sK32(szszuzczcdt0(aDimensionOf0(xs)))) ),
inference(superposition,[],[f245,f2805]) ).
fof(f5861,plain,
( sz00 != szszuzczcdt0(aDimensionOf0(xs))
| ~ aNaturalNumber0(sK32(szszuzczcdt0(aDimensionOf0(xs)))) ),
inference(superposition,[],[f247,f2805]) ).
fof(f5860,plain,
! [X0] :
( szszuzczcdt0(X0) != szszuzczcdt0(aDimensionOf0(xs))
| sK32(szszuzczcdt0(aDimensionOf0(xs))) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK32(szszuzczcdt0(aDimensionOf0(xs)))) ),
inference(superposition,[],[f272,f2805]) ).
fof(f5859,plain,
! [X0] :
( szszuzczcdt0(X0) != szszuzczcdt0(aDimensionOf0(xs))
| sK32(szszuzczcdt0(aDimensionOf0(xs))) = X0
| ~ aNaturalNumber0(sK32(szszuzczcdt0(aDimensionOf0(xs))))
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f272,f2805]) ).
fof(f5842,plain,
! [X0,X1] :
( sdtlbdtrb0(xt,aDimensionOf0(xs)) = sK20(X0,X1,sK19(X1,X0))
| ~ sP11(X1,X0) ),
inference(resolution,[],[f3074,f200]) ).
fof(f5838,plain,
! [X0] :
( sdtlbdtrb0(xs,aDimensionOf0(xs)) = sK19(sK18(X0),X0)
| ~ sP12(X0) ),
inference(resolution,[],[f199,f197]) ).
fof(f6519,plain,
( spl33_33
| ~ spl33_34 ),
inference(avatar_contradiction_clause,[],[f6518]) ).
fof(f6518,plain,
( $false
| spl33_33
| ~ spl33_34 ),
inference(subsumption_resolution,[],[f6517,f6373]) ).
fof(f6373,plain,
( aScalar0(sdtasasdt0(sK17,sK17))
| ~ spl33_34 ),
inference(avatar_component_clause,[],[f6371]) ).
fof(f6371,plain,
( spl33_34
<=> aScalar0(sdtasasdt0(sK17,sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_34])]) ).
fof(f6517,plain,
( ~ aScalar0(sdtasasdt0(sK17,sK17))
| spl33_33 ),
inference(resolution,[],[f6369,f258]) ).
fof(f6369,plain,
( ~ aScalar0(smndt0(sdtasasdt0(sK17,sK17)))
| spl33_33 ),
inference(avatar_component_clause,[],[f6367]) ).
fof(f6367,plain,
( spl33_33
<=> aScalar0(smndt0(sdtasasdt0(sK17,sK17))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_33])]) ).
fof(f6377,plain,
( ~ spl33_2
| spl33_34 ),
inference(avatar_contradiction_clause,[],[f6376]) ).
fof(f6376,plain,
( $false
| ~ spl33_2
| spl33_34 ),
inference(subsumption_resolution,[],[f6375,f307]) ).
fof(f307,plain,
( aVector0(sK17)
| ~ spl33_2 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f305,plain,
( spl33_2
<=> aVector0(sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_2])]) ).
fof(f6375,plain,
( ~ aVector0(sK17)
| spl33_34 ),
inference(resolution,[],[f6372,f1162]) ).
fof(f6372,plain,
( ~ aScalar0(sdtasasdt0(sK17,sK17))
| spl33_34 ),
inference(avatar_component_clause,[],[f6371]) ).
fof(f6374,plain,
( ~ spl33_33
| spl33_34
| ~ spl33_2 ),
inference(avatar_split_clause,[],[f6208,f305,f6371,f6367]) ).
fof(f6208,plain,
( aScalar0(sdtasasdt0(sK17,sK17))
| ~ aScalar0(smndt0(sdtasasdt0(sK17,sK17)))
| ~ spl33_2 ),
inference(superposition,[],[f258,f5480]) ).
fof(f5480,plain,
( sdtasasdt0(sK17,sK17) = smndt0(smndt0(sdtasasdt0(sK17,sK17)))
| ~ spl33_2 ),
inference(resolution,[],[f307,f1171]) ).
fof(f6121,plain,
( spl33_31
| ~ spl33_32 ),
inference(avatar_contradiction_clause,[],[f6120]) ).
fof(f6120,plain,
( $false
| spl33_31
| ~ spl33_32 ),
inference(subsumption_resolution,[],[f6118,f2800]) ).
fof(f6118,plain,
( ~ aNaturalNumber0(aDimensionOf0(xs))
| spl33_31
| ~ spl33_32 ),
inference(trivial_inequality_removal,[],[f6115]) ).
fof(f6115,plain,
( sz00 != sz00
| ~ aNaturalNumber0(aDimensionOf0(xs))
| spl33_31
| ~ spl33_32 ),
inference(superposition,[],[f247,f6108]) ).
fof(f6108,plain,
( sz00 = szszuzczcdt0(aDimensionOf0(xs))
| spl33_31
| ~ spl33_32 ),
inference(subsumption_resolution,[],[f6107,f6086]) ).
fof(f6086,plain,
( aNaturalNumber0(szszuzczcdt0(aDimensionOf0(xs)))
| ~ spl33_32 ),
inference(avatar_component_clause,[],[f6084]) ).
fof(f6084,plain,
( spl33_32
<=> aNaturalNumber0(szszuzczcdt0(aDimensionOf0(xs))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_32])]) ).
fof(f6107,plain,
( sz00 = szszuzczcdt0(aDimensionOf0(xs))
| ~ aNaturalNumber0(szszuzczcdt0(aDimensionOf0(xs)))
| spl33_31 ),
inference(resolution,[],[f6082,f270]) ).
fof(f6082,plain,
( ~ aNaturalNumber0(sK32(szszuzczcdt0(aDimensionOf0(xs))))
| spl33_31 ),
inference(avatar_component_clause,[],[f6080]) ).
fof(f6080,plain,
( spl33_31
<=> aNaturalNumber0(sK32(szszuzczcdt0(aDimensionOf0(xs)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_31])]) ).
fof(f6090,plain,
spl33_32,
inference(avatar_contradiction_clause,[],[f6089]) ).
fof(f6089,plain,
( $false
| spl33_32 ),
inference(subsumption_resolution,[],[f6088,f2800]) ).
fof(f6088,plain,
( ~ aNaturalNumber0(aDimensionOf0(xs))
| spl33_32 ),
inference(resolution,[],[f6085,f246]) ).
fof(f6085,plain,
( ~ aNaturalNumber0(szszuzczcdt0(aDimensionOf0(xs)))
| spl33_32 ),
inference(avatar_component_clause,[],[f6084]) ).
fof(f6087,plain,
( ~ spl33_31
| spl33_32 ),
inference(avatar_split_clause,[],[f5863,f6084,f6080]) ).
fof(f5643,plain,
( ~ spl33_2
| spl33_29 ),
inference(avatar_contradiction_clause,[],[f5642]) ).
fof(f5642,plain,
( $false
| ~ spl33_2
| spl33_29 ),
inference(subsumption_resolution,[],[f5641,f307]) ).
fof(f5641,plain,
( ~ aVector0(sK17)
| spl33_29 ),
inference(resolution,[],[f5635,f248]) ).
fof(f5635,plain,
( ~ aNaturalNumber0(aDimensionOf0(sK17))
| spl33_29 ),
inference(avatar_component_clause,[],[f5633]) ).
fof(f5633,plain,
( spl33_29
<=> aNaturalNumber0(aDimensionOf0(sK17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_29])]) ).
fof(f5640,plain,
( ~ spl33_29
| ~ spl33_30
| ~ spl33_1 ),
inference(avatar_split_clause,[],[f5593,f301,f5637,f5633]) ).
fof(f5637,plain,
( spl33_30
<=> sz00 = aDimensionOf0(xs) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_30])]) ).
fof(f5593,plain,
( sz00 != aDimensionOf0(xs)
| ~ aNaturalNumber0(aDimensionOf0(sK17))
| ~ spl33_1 ),
inference(superposition,[],[f247,f5460]) ).
fof(f5615,plain,
( ~ spl33_1
| ~ spl33_2
| spl33_24 ),
inference(avatar_contradiction_clause,[],[f5614]) ).
fof(f5614,plain,
( $false
| ~ spl33_1
| ~ spl33_2
| spl33_24 ),
inference(subsumption_resolution,[],[f5613,f307]) ).
fof(f5613,plain,
( ~ aVector0(sK17)
| ~ spl33_1
| spl33_24 ),
inference(resolution,[],[f5612,f248]) ).
fof(f5612,plain,
( ~ aNaturalNumber0(aDimensionOf0(sK17))
| ~ spl33_1
| spl33_24 ),
inference(subsumption_resolution,[],[f5593,f5598]) ).
fof(f5598,plain,
( sz00 = aDimensionOf0(xs)
| ~ spl33_1
| spl33_24 ),
inference(subsumption_resolution,[],[f5597,f2800]) ).
fof(f5597,plain,
( sz00 = aDimensionOf0(xs)
| ~ aNaturalNumber0(aDimensionOf0(xs))
| ~ spl33_1
| spl33_24 ),
inference(resolution,[],[f5589,f270]) ).
fof(f5589,plain,
( ~ aNaturalNumber0(sK32(aDimensionOf0(xs)))
| ~ spl33_1
| spl33_24 ),
inference(superposition,[],[f3387,f5460]) ).
fof(f3387,plain,
( ~ aNaturalNumber0(sK32(szszuzczcdt0(aDimensionOf0(sK17))))
| spl33_24 ),
inference(avatar_component_clause,[],[f3385]) ).
fof(f3385,plain,
( spl33_24
<=> aNaturalNumber0(sK32(szszuzczcdt0(aDimensionOf0(sK17)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_24])]) ).
fof(f5459,plain,
( spl33_1
| ~ spl33_22 ),
inference(avatar_contradiction_clause,[],[f5458]) ).
fof(f5458,plain,
( $false
| spl33_1
| ~ spl33_22 ),
inference(subsumption_resolution,[],[f5457,f2857]) ).
fof(f2857,plain,
( sP15(xs)
| ~ spl33_22 ),
inference(avatar_component_clause,[],[f2856]) ).
fof(f2856,plain,
( spl33_22
<=> sP15(xs) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_22])]) ).
fof(f5457,plain,
( ~ sP15(xs)
| spl33_1
| ~ spl33_22 ),
inference(resolution,[],[f5456,f326]) ).
fof(f5456,plain,
( ~ aVector0(sziznziztdt0(xs))
| spl33_1
| ~ spl33_22 ),
inference(resolution,[],[f5454,f248]) ).
fof(f5454,plain,
( ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs)))
| spl33_1
| ~ spl33_22 ),
inference(trivial_inequality_removal,[],[f5451]) ).
fof(f5451,plain,
( sz00 != sz00
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs)))
| spl33_1
| ~ spl33_22 ),
inference(superposition,[],[f247,f5447]) ).
fof(f5447,plain,
( sz00 = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs)))
| spl33_1
| ~ spl33_22 ),
inference(forward_demodulation,[],[f5429,f5428]) ).
fof(f5428,plain,
( sz00 = aDimensionOf0(xs)
| spl33_1 ),
inference(subsumption_resolution,[],[f237,f303]) ).
fof(f303,plain,
( ~ sP13
| spl33_1 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f5429,plain,
( aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs)))
| ~ spl33_22 ),
inference(resolution,[],[f2857,f410]) ).
fof(f5422,plain,
( ~ spl33_4
| spl33_22
| spl33_27
| ~ spl33_28 ),
inference(avatar_contradiction_clause,[],[f5421]) ).
fof(f5421,plain,
( $false
| ~ spl33_4
| spl33_22
| spl33_27
| ~ spl33_28 ),
inference(subsumption_resolution,[],[f5420,f4389]) ).
fof(f4389,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ spl33_28 ),
inference(avatar_component_clause,[],[f4387]) ).
fof(f4387,plain,
( spl33_28
<=> sdtlseqdt0(sz0z00,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_28])]) ).
fof(f5420,plain,
( ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ spl33_4
| spl33_22
| spl33_27 ),
inference(forward_demodulation,[],[f5298,f319]) ).
fof(f319,plain,
( sz0z00 = smndt0(sz0z00)
| ~ spl33_4 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f317,plain,
( spl33_4
<=> sz0z00 = smndt0(sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_4])]) ).
fof(f5298,plain,
( ~ sdtlseqdt0(sz0z00,smndt0(sz0z00))
| spl33_22
| spl33_27 ),
inference(superposition,[],[f4385,f5109]) ).
fof(f5109,plain,
( sz0z00 = sdtasasdt0(xs,xt)
| spl33_22 ),
inference(subsumption_resolution,[],[f5106,f240]) ).
fof(f5106,plain,
( sz0z00 = sdtasasdt0(xs,xt)
| ~ aVector0(xs)
| spl33_22 ),
inference(trivial_inequality_removal,[],[f5105]) ).
fof(f5105,plain,
( sz00 != sz00
| sz0z00 = sdtasasdt0(xs,xt)
| ~ aVector0(xs)
| spl33_22 ),
inference(superposition,[],[f3864,f2865]) ).
fof(f2865,plain,
( sz00 = aDimensionOf0(xs)
| spl33_22 ),
inference(subsumption_resolution,[],[f2864,f240]) ).
fof(f2864,plain,
( sz00 = aDimensionOf0(xs)
| ~ aVector0(xs)
| spl33_22 ),
inference(resolution,[],[f2858,f257]) ).
fof(f2858,plain,
( ~ sP15(xs)
| spl33_22 ),
inference(avatar_component_clause,[],[f2856]) ).
fof(f3864,plain,
( ! [X0] :
( sz00 != aDimensionOf0(X0)
| sz0z00 = sdtasasdt0(X0,xt)
| ~ aVector0(X0) )
| spl33_22 ),
inference(subsumption_resolution,[],[f3863,f241]) ).
fof(f3863,plain,
( ! [X0] :
( sz0z00 = sdtasasdt0(X0,xt)
| sz00 != aDimensionOf0(X0)
| ~ aVector0(xt)
| ~ aVector0(X0) )
| spl33_22 ),
inference(subsumption_resolution,[],[f3860,f2865]) ).
fof(f4385,plain,
( ~ sdtlseqdt0(sz0z00,smndt0(sdtasasdt0(xs,xt)))
| spl33_27 ),
inference(avatar_component_clause,[],[f4383]) ).
fof(f4383,plain,
( spl33_27
<=> sdtlseqdt0(sz0z00,smndt0(sdtasasdt0(xs,xt))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_27])]) ).
fof(f5419,plain,
( spl33_22
| spl33_26
| ~ spl33_28 ),
inference(avatar_contradiction_clause,[],[f5418]) ).
fof(f5418,plain,
( $false
| spl33_22
| spl33_26
| ~ spl33_28 ),
inference(subsumption_resolution,[],[f5297,f4389]) ).
fof(f5297,plain,
( ~ sdtlseqdt0(sz0z00,sz0z00)
| spl33_22
| spl33_26 ),
inference(superposition,[],[f4381,f5109]) ).
fof(f4381,plain,
( ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xt))
| spl33_26 ),
inference(avatar_component_clause,[],[f4379]) ).
fof(f4379,plain,
( spl33_26
<=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_26])]) ).
fof(f5311,plain,
( spl33_22
| ~ spl33_28 ),
inference(avatar_contradiction_clause,[],[f5310]) ).
fof(f5310,plain,
( $false
| spl33_22
| ~ spl33_28 ),
inference(subsumption_resolution,[],[f5309,f4389]) ).
fof(f5309,plain,
( ~ sdtlseqdt0(sz0z00,sz0z00)
| spl33_22 ),
inference(forward_demodulation,[],[f5308,f338]) ).
fof(f5308,plain,
( ~ sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sz0z00)
| spl33_22 ),
inference(forward_demodulation,[],[f5307,f1404]) ).
fof(f5307,plain,
( ~ sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sdtasasdt0(xs,xs),sz0z00))
| spl33_22 ),
inference(forward_demodulation,[],[f5221,f5108]) ).
fof(f5108,plain,
( sz0z00 = sdtasasdt0(xt,xt)
| spl33_22 ),
inference(subsumption_resolution,[],[f5107,f241]) ).
fof(f5107,plain,
( sz0z00 = sdtasasdt0(xt,xt)
| ~ aVector0(xt)
| spl33_22 ),
inference(subsumption_resolution,[],[f5104,f2865]) ).
fof(f5104,plain,
( sz00 != aDimensionOf0(xs)
| sz0z00 = sdtasasdt0(xt,xt)
| ~ aVector0(xt)
| spl33_22 ),
inference(superposition,[],[f3864,f239]) ).
fof(f5221,plain,
( ~ sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
| spl33_22 ),
inference(superposition,[],[f238,f5109]) ).
fof(f4398,plain,
spl33_28,
inference(avatar_contradiction_clause,[],[f4397]) ).
fof(f4397,plain,
( $false
| spl33_28 ),
inference(subsumption_resolution,[],[f4392,f244]) ).
fof(f4392,plain,
( ~ aScalar0(sz0z00)
| spl33_28 ),
inference(resolution,[],[f4388,f259]) ).
fof(f4388,plain,
( ~ sdtlseqdt0(sz0z00,sz0z00)
| spl33_28 ),
inference(avatar_component_clause,[],[f4387]) ).
fof(f4390,plain,
( ~ spl33_26
| ~ spl33_27
| spl33_28
| ~ spl33_20
| ~ spl33_21 ),
inference(avatar_split_clause,[],[f3033,f2651,f2647,f4387,f4383,f4379]) ).
fof(f2647,plain,
( spl33_20
<=> aScalar0(smndt0(sdtasasdt0(xs,xt))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_20])]) ).
fof(f2651,plain,
( spl33_21
<=> aScalar0(sdtasasdt0(xs,xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_21])]) ).
fof(f3033,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(sdtasasdt0(xs,xt)))
| ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xt))
| ~ spl33_20
| ~ spl33_21 ),
inference(subsumption_resolution,[],[f3032,f2653]) ).
fof(f2653,plain,
( aScalar0(sdtasasdt0(xs,xt))
| ~ spl33_21 ),
inference(avatar_component_clause,[],[f2651]) ).
fof(f3032,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(sdtasasdt0(xs,xt)))
| ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xt))
| ~ aScalar0(sdtasasdt0(xs,xt))
| ~ spl33_20
| ~ spl33_21 ),
inference(subsumption_resolution,[],[f3030,f2648]) ).
fof(f2648,plain,
( aScalar0(smndt0(sdtasasdt0(xs,xt)))
| ~ spl33_20 ),
inference(avatar_component_clause,[],[f2647]) ).
fof(f3030,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(sdtasasdt0(xs,xt)))
| ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xt))
| ~ aScalar0(smndt0(sdtasasdt0(xs,xt)))
| ~ aScalar0(sdtasasdt0(xs,xt))
| ~ spl33_21 ),
inference(superposition,[],[f286,f2906]) ).
fof(f2906,plain,
( sz0z00 = sdtpldt0(sdtasasdt0(xs,xt),smndt0(sdtasasdt0(xs,xt)))
| ~ spl33_21 ),
inference(resolution,[],[f2653,f349]) ).
fof(f3396,plain,
( ~ spl33_2
| spl33_25 ),
inference(avatar_contradiction_clause,[],[f3395]) ).
fof(f3395,plain,
( $false
| ~ spl33_2
| spl33_25 ),
inference(subsumption_resolution,[],[f3394,f307]) ).
fof(f3394,plain,
( ~ aVector0(sK17)
| spl33_25 ),
inference(resolution,[],[f3393,f248]) ).
fof(f3393,plain,
( ~ aNaturalNumber0(aDimensionOf0(sK17))
| spl33_25 ),
inference(resolution,[],[f3390,f246]) ).
fof(f3390,plain,
( ~ aNaturalNumber0(szszuzczcdt0(aDimensionOf0(sK17)))
| spl33_25 ),
inference(avatar_component_clause,[],[f3389]) ).
fof(f3389,plain,
( spl33_25
<=> aNaturalNumber0(szszuzczcdt0(aDimensionOf0(sK17))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_25])]) ).
fof(f3392,plain,
( ~ spl33_24
| spl33_25
| ~ spl33_2 ),
inference(avatar_split_clause,[],[f3373,f305,f3389,f3385]) ).
fof(f3373,plain,
( aNaturalNumber0(szszuzczcdt0(aDimensionOf0(sK17)))
| ~ aNaturalNumber0(sK32(szszuzczcdt0(aDimensionOf0(sK17))))
| ~ spl33_2 ),
inference(superposition,[],[f246,f2761]) ).
fof(f2761,plain,
( szszuzczcdt0(aDimensionOf0(sK17)) = szszuzczcdt0(sK32(szszuzczcdt0(aDimensionOf0(sK17))))
| ~ spl33_2 ),
inference(resolution,[],[f307,f462]) ).
fof(f2886,plain,
( ~ spl33_1
| ~ spl33_2
| spl33_22 ),
inference(avatar_contradiction_clause,[],[f2885]) ).
fof(f2885,plain,
( $false
| ~ spl33_1
| ~ spl33_2
| spl33_22 ),
inference(subsumption_resolution,[],[f2884,f307]) ).
fof(f2884,plain,
( ~ aVector0(sK17)
| ~ spl33_1
| spl33_22 ),
inference(resolution,[],[f2881,f248]) ).
fof(f2881,plain,
( ~ aNaturalNumber0(aDimensionOf0(sK17))
| ~ spl33_1
| spl33_22 ),
inference(trivial_inequality_removal,[],[f2878]) ).
fof(f2878,plain,
( sz00 != sz00
| ~ aNaturalNumber0(aDimensionOf0(sK17))
| ~ spl33_1
| spl33_22 ),
inference(superposition,[],[f247,f2874]) ).
fof(f2874,plain,
( sz00 = szszuzczcdt0(aDimensionOf0(sK17))
| ~ spl33_1
| spl33_22 ),
inference(forward_demodulation,[],[f2854,f2865]) ).
fof(f2863,plain,
( ~ spl33_22
| spl33_23
| ~ spl33_1 ),
inference(avatar_split_clause,[],[f2821,f301,f2860,f2856]) ).
fof(f2860,plain,
( spl33_23
<=> sP14(xs,sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_23])]) ).
fof(f2758,plain,
( spl33_20
| ~ spl33_21 ),
inference(avatar_contradiction_clause,[],[f2757]) ).
fof(f2757,plain,
( $false
| spl33_20
| ~ spl33_21 ),
inference(subsumption_resolution,[],[f2756,f2653]) ).
fof(f2756,plain,
( ~ aScalar0(sdtasasdt0(xs,xt))
| spl33_20 ),
inference(resolution,[],[f2649,f258]) ).
fof(f2649,plain,
( ~ aScalar0(smndt0(sdtasasdt0(xs,xt)))
| spl33_20 ),
inference(avatar_component_clause,[],[f2647]) ).
fof(f2662,plain,
( spl33_1
| spl33_21 ),
inference(avatar_contradiction_clause,[],[f2661]) ).
fof(f2661,plain,
( $false
| spl33_1
| spl33_21 ),
inference(subsumption_resolution,[],[f2660,f241]) ).
fof(f2660,plain,
( ~ aVector0(xt)
| spl33_1
| spl33_21 ),
inference(subsumption_resolution,[],[f2656,f310]) ).
fof(f310,plain,
( sz00 = aDimensionOf0(xt)
| spl33_1 ),
inference(forward_demodulation,[],[f239,f309]) ).
fof(f309,plain,
( sz00 = aDimensionOf0(xs)
| spl33_1 ),
inference(subsumption_resolution,[],[f237,f303]) ).
fof(f2656,plain,
( sz00 != aDimensionOf0(xt)
| ~ aVector0(xt)
| spl33_1
| spl33_21 ),
inference(resolution,[],[f2652,f1163]) ).
fof(f1163,plain,
( ! [X0] :
( aScalar0(sdtasasdt0(xs,X0))
| sz00 != aDimensionOf0(X0)
| ~ aVector0(X0) )
| spl33_1 ),
inference(subsumption_resolution,[],[f1157,f240]) ).
fof(f1157,plain,
( ! [X0] :
( sz00 != aDimensionOf0(X0)
| aScalar0(sdtasasdt0(xs,X0))
| ~ aVector0(X0)
| ~ aVector0(xs) )
| spl33_1 ),
inference(superposition,[],[f274,f309]) ).
fof(f2652,plain,
( ~ aScalar0(sdtasasdt0(xs,xt))
| spl33_21 ),
inference(avatar_component_clause,[],[f2651]) ).
fof(f2659,plain,
( spl33_1
| spl33_21 ),
inference(avatar_contradiction_clause,[],[f2658]) ).
fof(f2658,plain,
( $false
| spl33_1
| spl33_21 ),
inference(subsumption_resolution,[],[f2657,f240]) ).
fof(f2657,plain,
( ~ aVector0(xs)
| spl33_1
| spl33_21 ),
inference(subsumption_resolution,[],[f2655,f309]) ).
fof(f2655,plain,
( sz00 != aDimensionOf0(xs)
| ~ aVector0(xs)
| spl33_1
| spl33_21 ),
inference(resolution,[],[f2652,f1166]) ).
fof(f1166,plain,
( ! [X0] :
( aScalar0(sdtasasdt0(X0,xt))
| sz00 != aDimensionOf0(X0)
| ~ aVector0(X0) )
| spl33_1 ),
inference(subsumption_resolution,[],[f1160,f241]) ).
fof(f1160,plain,
( ! [X0] :
( sz00 != aDimensionOf0(X0)
| aScalar0(sdtasasdt0(X0,xt))
| ~ aVector0(xt)
| ~ aVector0(X0) )
| spl33_1 ),
inference(superposition,[],[f274,f310]) ).
fof(f2654,plain,
( ~ spl33_20
| spl33_21
| spl33_1 ),
inference(avatar_split_clause,[],[f2645,f301,f2651,f2647]) ).
fof(f2645,plain,
( aScalar0(sdtasasdt0(xs,xt))
| ~ aScalar0(smndt0(sdtasasdt0(xs,xt)))
| spl33_1 ),
inference(superposition,[],[f258,f2644]) ).
fof(f2644,plain,
( sdtasasdt0(xs,xt) = smndt0(smndt0(sdtasasdt0(xs,xt)))
| spl33_1 ),
inference(subsumption_resolution,[],[f2642,f241]) ).
fof(f2642,plain,
( ~ aVector0(xt)
| sdtasasdt0(xs,xt) = smndt0(smndt0(sdtasasdt0(xs,xt)))
| spl33_1 ),
inference(trivial_inequality_removal,[],[f2641]) ).
fof(f2641,plain,
( sz00 != sz00
| ~ aVector0(xt)
| sdtasasdt0(xs,xt) = smndt0(smndt0(sdtasasdt0(xs,xt)))
| spl33_1 ),
inference(superposition,[],[f1251,f310]) ).
fof(f1251,plain,
( ! [X0] :
( sz00 != aDimensionOf0(X0)
| ~ aVector0(X0)
| sdtasasdt0(xs,X0) = smndt0(smndt0(sdtasasdt0(xs,X0))) )
| spl33_1 ),
inference(resolution,[],[f1163,f331]) ).
fof(f2086,plain,
( spl33_13
| spl33_19 ),
inference(avatar_split_clause,[],[f291,f2084,f1633]) ).
fof(f1633,plain,
( spl33_13
<=> ! [X2] : ~ aScalar0(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_13])]) ).
fof(f2084,plain,
( spl33_19
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_19])]) ).
fof(f1947,plain,
( spl33_17
| ~ spl33_18 ),
inference(avatar_contradiction_clause,[],[f1946]) ).
fof(f1946,plain,
( $false
| spl33_17
| ~ spl33_18 ),
inference(subsumption_resolution,[],[f1945,f1856]) ).
fof(f1856,plain,
( aScalar0(sdtasasdt0(xt,xt))
| ~ spl33_18 ),
inference(avatar_component_clause,[],[f1854]) ).
fof(f1854,plain,
( spl33_18
<=> aScalar0(sdtasasdt0(xt,xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_18])]) ).
fof(f1945,plain,
( ~ aScalar0(sdtasasdt0(xt,xt))
| spl33_17 ),
inference(resolution,[],[f1852,f258]) ).
fof(f1852,plain,
( ~ aScalar0(smndt0(sdtasasdt0(xt,xt)))
| spl33_17 ),
inference(avatar_component_clause,[],[f1850]) ).
fof(f1850,plain,
( spl33_17
<=> aScalar0(smndt0(sdtasasdt0(xt,xt))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_17])]) ).
fof(f1868,plain,
spl33_18,
inference(avatar_contradiction_clause,[],[f1867]) ).
fof(f1867,plain,
( $false
| spl33_18 ),
inference(subsumption_resolution,[],[f1860,f241]) ).
fof(f1860,plain,
( ~ aVector0(xt)
| spl33_18 ),
inference(resolution,[],[f1855,f1162]) ).
fof(f1855,plain,
( ~ aScalar0(sdtasasdt0(xt,xt))
| spl33_18 ),
inference(avatar_component_clause,[],[f1854]) ).
fof(f1866,plain,
( spl33_1
| spl33_18 ),
inference(avatar_contradiction_clause,[],[f1865]) ).
fof(f1865,plain,
( $false
| spl33_1
| spl33_18 ),
inference(subsumption_resolution,[],[f1864,f241]) ).
fof(f1864,plain,
( ~ aVector0(xt)
| spl33_1
| spl33_18 ),
inference(subsumption_resolution,[],[f1859,f310]) ).
fof(f1859,plain,
( sz00 != aDimensionOf0(xt)
| ~ aVector0(xt)
| spl33_1
| spl33_18 ),
inference(resolution,[],[f1855,f1164]) ).
fof(f1164,plain,
( ! [X0] :
( aScalar0(sdtasasdt0(xt,X0))
| sz00 != aDimensionOf0(X0)
| ~ aVector0(X0) )
| spl33_1 ),
inference(subsumption_resolution,[],[f1158,f241]) ).
fof(f1158,plain,
( ! [X0] :
( sz00 != aDimensionOf0(X0)
| aScalar0(sdtasasdt0(xt,X0))
| ~ aVector0(X0)
| ~ aVector0(xt) )
| spl33_1 ),
inference(superposition,[],[f274,f310]) ).
fof(f1863,plain,
( spl33_1
| spl33_18 ),
inference(avatar_contradiction_clause,[],[f1862]) ).
fof(f1862,plain,
( $false
| spl33_1
| spl33_18 ),
inference(subsumption_resolution,[],[f1861,f241]) ).
fof(f1861,plain,
( ~ aVector0(xt)
| spl33_1
| spl33_18 ),
inference(subsumption_resolution,[],[f1858,f310]) ).
fof(f1858,plain,
( sz00 != aDimensionOf0(xt)
| ~ aVector0(xt)
| spl33_1
| spl33_18 ),
inference(resolution,[],[f1855,f1166]) ).
fof(f1857,plain,
( ~ spl33_17
| spl33_18 ),
inference(avatar_split_clause,[],[f1631,f1854,f1850]) ).
fof(f1757,plain,
( spl33_15
| ~ spl33_16 ),
inference(avatar_contradiction_clause,[],[f1756]) ).
fof(f1756,plain,
( $false
| spl33_15
| ~ spl33_16 ),
inference(subsumption_resolution,[],[f1755,f1666]) ).
fof(f1666,plain,
( aScalar0(sdtasasdt0(xs,xs))
| ~ spl33_16 ),
inference(avatar_component_clause,[],[f1664]) ).
fof(f1664,plain,
( spl33_16
<=> aScalar0(sdtasasdt0(xs,xs)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_16])]) ).
fof(f1755,plain,
( ~ aScalar0(sdtasasdt0(xs,xs))
| spl33_15 ),
inference(resolution,[],[f1662,f258]) ).
fof(f1662,plain,
( ~ aScalar0(smndt0(sdtasasdt0(xs,xs)))
| spl33_15 ),
inference(avatar_component_clause,[],[f1660]) ).
fof(f1660,plain,
( spl33_15
<=> aScalar0(smndt0(sdtasasdt0(xs,xs))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_15])]) ).
fof(f1678,plain,
spl33_16,
inference(avatar_contradiction_clause,[],[f1677]) ).
fof(f1677,plain,
( $false
| spl33_16 ),
inference(subsumption_resolution,[],[f1670,f240]) ).
fof(f1670,plain,
( ~ aVector0(xs)
| spl33_16 ),
inference(resolution,[],[f1665,f1162]) ).
fof(f1665,plain,
( ~ aScalar0(sdtasasdt0(xs,xs))
| spl33_16 ),
inference(avatar_component_clause,[],[f1664]) ).
fof(f1676,plain,
( spl33_1
| spl33_16 ),
inference(avatar_contradiction_clause,[],[f1675]) ).
fof(f1675,plain,
( $false
| spl33_1
| spl33_16 ),
inference(subsumption_resolution,[],[f1674,f240]) ).
fof(f1674,plain,
( ~ aVector0(xs)
| spl33_1
| spl33_16 ),
inference(subsumption_resolution,[],[f1669,f309]) ).
fof(f1669,plain,
( sz00 != aDimensionOf0(xs)
| ~ aVector0(xs)
| spl33_1
| spl33_16 ),
inference(resolution,[],[f1665,f1163]) ).
fof(f1673,plain,
( spl33_1
| spl33_16 ),
inference(avatar_contradiction_clause,[],[f1672]) ).
fof(f1672,plain,
( $false
| spl33_1
| spl33_16 ),
inference(subsumption_resolution,[],[f1671,f240]) ).
fof(f1671,plain,
( ~ aVector0(xs)
| spl33_1
| spl33_16 ),
inference(subsumption_resolution,[],[f1668,f309]) ).
fof(f1668,plain,
( sz00 != aDimensionOf0(xs)
| ~ aVector0(xs)
| spl33_1
| spl33_16 ),
inference(resolution,[],[f1665,f1165]) ).
fof(f1165,plain,
( ! [X0] :
( aScalar0(sdtasasdt0(X0,xs))
| sz00 != aDimensionOf0(X0)
| ~ aVector0(X0) )
| spl33_1 ),
inference(subsumption_resolution,[],[f1159,f240]) ).
fof(f1159,plain,
( ! [X0] :
( sz00 != aDimensionOf0(X0)
| aScalar0(sdtasasdt0(X0,xs))
| ~ aVector0(xs)
| ~ aVector0(X0) )
| spl33_1 ),
inference(superposition,[],[f274,f309]) ).
fof(f1667,plain,
( ~ spl33_15
| spl33_16 ),
inference(avatar_split_clause,[],[f1630,f1664,f1660]) ).
fof(f1654,plain,
~ spl33_13,
inference(avatar_contradiction_clause,[],[f1639]) ).
fof(f1639,plain,
( $false
| ~ spl33_13 ),
inference(resolution,[],[f1634,f244]) ).
fof(f1634,plain,
( ! [X2] : ~ aScalar0(X2)
| ~ spl33_13 ),
inference(avatar_component_clause,[],[f1633]) ).
fof(f1638,plain,
( spl33_13
| spl33_14 ),
inference(avatar_split_clause,[],[f289,f1636,f1633]) ).
fof(f1636,plain,
( spl33_14
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_14])]) ).
fof(f1220,plain,
( ~ spl33_10
| spl33_11
| ~ spl33_12 ),
inference(avatar_contradiction_clause,[],[f1219]) ).
fof(f1219,plain,
( $false
| ~ spl33_10
| spl33_11
| ~ spl33_12 ),
inference(subsumption_resolution,[],[f1218,f523]) ).
fof(f523,plain,
( aNaturalNumber0(szszuzczcdt0(szszuzczcdt0(sz00)))
| ~ spl33_10 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f521,plain,
( spl33_10
<=> aNaturalNumber0(szszuzczcdt0(szszuzczcdt0(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_10])]) ).
fof(f1218,plain,
( ~ aNaturalNumber0(szszuzczcdt0(szszuzczcdt0(sz00)))
| spl33_11
| ~ spl33_12 ),
inference(trivial_inequality_removal,[],[f1215]) ).
fof(f1215,plain,
( sz00 != sz00
| ~ aNaturalNumber0(szszuzczcdt0(szszuzczcdt0(sz00)))
| spl33_11
| ~ spl33_12 ),
inference(superposition,[],[f247,f1156]) ).
fof(f1156,plain,
( sz00 = szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(sz00)))
| spl33_11
| ~ spl33_12 ),
inference(subsumption_resolution,[],[f1155,f1135]) ).
fof(f1135,plain,
( aNaturalNumber0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(sz00))))
| ~ spl33_12 ),
inference(avatar_component_clause,[],[f1133]) ).
fof(f1133,plain,
( spl33_12
<=> aNaturalNumber0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(sz00)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_12])]) ).
fof(f1155,plain,
( sz00 = szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(sz00)))
| ~ aNaturalNumber0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(sz00))))
| spl33_11 ),
inference(resolution,[],[f1131,f270]) ).
fof(f1131,plain,
( ~ aNaturalNumber0(sK32(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(sz00)))))
| spl33_11 ),
inference(avatar_component_clause,[],[f1129]) ).
fof(f1129,plain,
( spl33_11
<=> aNaturalNumber0(sK32(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(sz00))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_11])]) ).
fof(f1139,plain,
( ~ spl33_10
| spl33_12 ),
inference(avatar_contradiction_clause,[],[f1138]) ).
fof(f1138,plain,
( $false
| ~ spl33_10
| spl33_12 ),
inference(subsumption_resolution,[],[f1137,f523]) ).
fof(f1137,plain,
( ~ aNaturalNumber0(szszuzczcdt0(szszuzczcdt0(sz00)))
| spl33_12 ),
inference(resolution,[],[f1134,f246]) ).
fof(f1134,plain,
( ~ aNaturalNumber0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(sz00))))
| spl33_12 ),
inference(avatar_component_clause,[],[f1133]) ).
fof(f1136,plain,
( ~ spl33_11
| spl33_12
| ~ spl33_6 ),
inference(avatar_split_clause,[],[f912,f475,f1133,f1129]) ).
fof(f475,plain,
( spl33_6
<=> aNaturalNumber0(szszuzczcdt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_6])]) ).
fof(f912,plain,
( aNaturalNumber0(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(sz00))))
| ~ aNaturalNumber0(sK32(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(sz00)))))
| ~ spl33_6 ),
inference(superposition,[],[f246,f858]) ).
fof(f858,plain,
( szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(sz00))) = szszuzczcdt0(sK32(szszuzczcdt0(szszuzczcdt0(szszuzczcdt0(sz00)))))
| ~ spl33_6 ),
inference(resolution,[],[f461,f477]) ).
fof(f477,plain,
( aNaturalNumber0(szszuzczcdt0(sz00))
| ~ spl33_6 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f543,plain,
( ~ spl33_6
| ~ spl33_8 ),
inference(avatar_contradiction_clause,[],[f542]) ).
fof(f542,plain,
( $false
| ~ spl33_6
| ~ spl33_8 ),
inference(subsumption_resolution,[],[f541,f477]) ).
fof(f541,plain,
( ~ aNaturalNumber0(szszuzczcdt0(sz00))
| ~ spl33_8 ),
inference(trivial_inequality_removal,[],[f538]) ).
fof(f538,plain,
( sz00 != sz00
| ~ aNaturalNumber0(szszuzczcdt0(sz00))
| ~ spl33_8 ),
inference(superposition,[],[f247,f510]) ).
fof(f510,plain,
( sz00 = szszuzczcdt0(szszuzczcdt0(sz00))
| ~ spl33_8 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f509,plain,
( spl33_8
<=> sz00 = szszuzczcdt0(szszuzczcdt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_8])]) ).
fof(f533,plain,
( spl33_8
| spl33_9
| ~ spl33_10 ),
inference(avatar_contradiction_clause,[],[f532]) ).
fof(f532,plain,
( $false
| spl33_8
| spl33_9
| ~ spl33_10 ),
inference(subsumption_resolution,[],[f531,f523]) ).
fof(f531,plain,
( ~ aNaturalNumber0(szszuzczcdt0(szszuzczcdt0(sz00)))
| spl33_8
| spl33_9 ),
inference(subsumption_resolution,[],[f530,f511]) ).
fof(f511,plain,
( sz00 != szszuzczcdt0(szszuzczcdt0(sz00))
| spl33_8 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f530,plain,
( sz00 = szszuzczcdt0(szszuzczcdt0(sz00))
| ~ aNaturalNumber0(szszuzczcdt0(szszuzczcdt0(sz00)))
| spl33_9 ),
inference(resolution,[],[f519,f270]) ).
fof(f519,plain,
( ~ aNaturalNumber0(sK32(szszuzczcdt0(szszuzczcdt0(sz00))))
| spl33_9 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f517,plain,
( spl33_9
<=> aNaturalNumber0(sK32(szszuzczcdt0(szszuzczcdt0(sz00)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_9])]) ).
fof(f527,plain,
( ~ spl33_6
| spl33_10 ),
inference(avatar_contradiction_clause,[],[f526]) ).
fof(f526,plain,
( $false
| ~ spl33_6
| spl33_10 ),
inference(subsumption_resolution,[],[f525,f477]) ).
fof(f525,plain,
( ~ aNaturalNumber0(szszuzczcdt0(sz00))
| spl33_10 ),
inference(resolution,[],[f522,f246]) ).
fof(f522,plain,
( ~ aNaturalNumber0(szszuzczcdt0(szszuzczcdt0(sz00)))
| spl33_10 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f524,plain,
( ~ spl33_9
| spl33_10
| ~ spl33_6 ),
inference(avatar_split_clause,[],[f502,f475,f521,f517]) ).
fof(f502,plain,
( aNaturalNumber0(szszuzczcdt0(szszuzczcdt0(sz00)))
| ~ aNaturalNumber0(sK32(szszuzczcdt0(szszuzczcdt0(sz00))))
| ~ spl33_6 ),
inference(superposition,[],[f246,f482]) ).
fof(f482,plain,
( szszuzczcdt0(szszuzczcdt0(sz00)) = szszuzczcdt0(sK32(szszuzczcdt0(szszuzczcdt0(sz00))))
| ~ spl33_6 ),
inference(resolution,[],[f477,f459]) ).
fof(f512,plain,
( ~ spl33_7
| ~ spl33_8
| ~ spl33_6 ),
inference(avatar_split_clause,[],[f503,f475,f509,f505]) ).
fof(f505,plain,
( spl33_7
<=> aNaturalNumber0(sK32(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_7])]) ).
fof(f503,plain,
( sz00 != szszuzczcdt0(szszuzczcdt0(sz00))
| ~ aNaturalNumber0(sK32(sz00))
| ~ spl33_6 ),
inference(inner_rewriting,[],[f500]) ).
fof(f500,plain,
( sz00 != szszuzczcdt0(szszuzczcdt0(sz00))
| ~ aNaturalNumber0(sK32(szszuzczcdt0(szszuzczcdt0(sz00))))
| ~ spl33_6 ),
inference(superposition,[],[f247,f482]) ).
fof(f494,plain,
( spl33_5
| ~ spl33_6 ),
inference(avatar_contradiction_clause,[],[f493]) ).
fof(f493,plain,
( $false
| spl33_5
| ~ spl33_6 ),
inference(subsumption_resolution,[],[f492,f243]) ).
fof(f492,plain,
( ~ aNaturalNumber0(sz00)
| spl33_5
| ~ spl33_6 ),
inference(trivial_inequality_removal,[],[f489]) ).
fof(f489,plain,
( sz00 != sz00
| ~ aNaturalNumber0(sz00)
| spl33_5
| ~ spl33_6 ),
inference(superposition,[],[f247,f485]) ).
fof(f485,plain,
( sz00 = szszuzczcdt0(sz00)
| spl33_5
| ~ spl33_6 ),
inference(subsumption_resolution,[],[f484,f477]) ).
fof(f484,plain,
( sz00 = szszuzczcdt0(sz00)
| ~ aNaturalNumber0(szszuzczcdt0(sz00))
| spl33_5 ),
inference(resolution,[],[f473,f270]) ).
fof(f473,plain,
( ~ aNaturalNumber0(sK32(szszuzczcdt0(sz00)))
| spl33_5 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f471,plain,
( spl33_5
<=> aNaturalNumber0(sK32(szszuzczcdt0(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_5])]) ).
fof(f481,plain,
spl33_6,
inference(avatar_contradiction_clause,[],[f480]) ).
fof(f480,plain,
( $false
| spl33_6 ),
inference(subsumption_resolution,[],[f479,f243]) ).
fof(f479,plain,
( ~ aNaturalNumber0(sz00)
| spl33_6 ),
inference(resolution,[],[f476,f246]) ).
fof(f476,plain,
( ~ aNaturalNumber0(szszuzczcdt0(sz00))
| spl33_6 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f478,plain,
( ~ spl33_5
| spl33_6 ),
inference(avatar_split_clause,[],[f468,f475,f471]) ).
fof(f324,plain,
~ spl33_3,
inference(avatar_contradiction_clause,[],[f322]) ).
fof(f322,plain,
( $false
| ~ spl33_3 ),
inference(resolution,[],[f321,f244]) ).
fof(f321,plain,
( ! [X0] : ~ aScalar0(X0)
| ~ spl33_3 ),
inference(resolution,[],[f315,f269]) ).
fof(f315,plain,
( ! [X0] : ~ sP16(X0)
| ~ spl33_3 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f314,plain,
( spl33_3
<=> ! [X0] : ~ sP16(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_3])]) ).
fof(f320,plain,
( spl33_3
| spl33_4 ),
inference(avatar_split_clause,[],[f268,f317,f314]) ).
fof(f308,plain,
( ~ spl33_1
| spl33_2 ),
inference(avatar_split_clause,[],[f188,f305,f301]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : RNG081+2 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.36 % Computer : n004.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Sat May 18 12:25:52 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % (15322)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.38 % (15325)WARNING: value z3 for option sas not known
% 0.13/0.38 % (15326)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38 % (15329)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)
% 0.13/0.38 % (15324)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38 % (15328)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)
% 0.13/0.38 % (15327)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)
% 0.13/0.38 % (15325)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)
% 0.13/0.38 % (15323)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.39 TRYING [1]
% 0.13/0.39 TRYING [2]
% 0.13/0.39 TRYING [1]
% 0.13/0.39 TRYING [2]
% 0.13/0.40 TRYING [3]
% 0.13/0.40 TRYING [3]
% 0.20/0.43 TRYING [1]
% 0.20/0.43 TRYING [2]
% 0.20/0.44 TRYING [3]
% 0.20/0.46 TRYING [4]
% 0.20/0.47 TRYING [4]
% 0.20/0.50 TRYING [4]
% 1.78/0.61 TRYING [5]
% 2.04/0.70 TRYING [5]
% 2.04/0.71 TRYING [5]
% 2.52/0.74 % (15325)First to succeed.
% 2.52/0.76 % (15325)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15322"
% 2.52/0.76 % (15325)Refutation found. Thanks to Tanya!
% 2.52/0.76 % SZS status Theorem for theBenchmark
% 2.52/0.76 % SZS output start Proof for theBenchmark
% See solution above
% 2.89/0.77 % (15325)------------------------------
% 2.89/0.77 % (15325)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.89/0.77 % (15325)Termination reason: Refutation
% 2.89/0.77
% 2.89/0.77 % (15325)Memory used [KB]: 4781
% 2.89/0.77 % (15325)Time elapsed: 0.377 s
% 2.89/0.77 % (15325)Instructions burned: 920 (million)
% 2.89/0.77 % (15322)Success in time 0.398 s
%------------------------------------------------------------------------------