TSTP Solution File: SEU388+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU388+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n025.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 : Wed Aug 31 18:29:37 EDT 2022
% Result : Theorem 80.49s 10.53s
% Output : Refutation 80.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 546
% Syntax : Number of formulae : 2375 ( 26 unt; 0 def)
% Number of atoms : 13008 ( 771 equ)
% Maximal formula atoms : 49 ( 5 avg)
% Number of connectives : 17145 (6512 ~;8150 |;1581 &)
% ( 513 <=>; 387 =>; 0 <=; 2 <~>)
% Maximal formula depth : 25 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 494 ( 492 usr; 397 prp; 0-4 aty)
% Number of functors : 128 ( 128 usr; 13 con; 0-6 aty)
% Number of variables : 3135 (2879 !; 256 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9825,plain,
$false,
inference(avatar_smt_refutation,[],[f5547,f5569,f5587,f5598,f5612,f5616,f5626,f5637,f5641,f5650,f5668,f5670,f5671,f5680,f5688,f5698,f5704,f5705,f5706,f5711,f5726,f5727,f5733,f5742,f5747,f5751,f5775,f5787,f5804,f5949,f5954,f5972,f5973,f6001,f6018,f6025,f6032,f6039,f6040,f6049,f6052,f6069,f6074,f6090,f6098,f6104,f6117,f6126,f6131,f6132,f6148,f6149,f6153,f6161,f6164,f6175,f6179,f6186,f6187,f6192,f6199,f6200,f6201,f6219,f6224,f6225,f6229,f6234,f6235,f6244,f6245,f6246,f6247,f6250,f6691,f6699,f6704,f6708,f6712,f6721,f6740,f6753,f6758,f6783,f6795,f6799,f6804,f6812,f6816,f6817,f6821,f6826,f6831,f6836,f6840,f6849,f6853,f6858,f6862,f6866,f6872,f6877,f6890,f6895,f6904,f6907,f6912,f6916,f6921,f6925,f6926,f6927,f6931,f6936,f6940,f6941,f6942,f6946,f6950,f6954,f6957,f6964,f6968,f6969,f6974,f6978,f6982,f6983,f6990,f6995,f6999,f7004,f7005,f7009,f7014,f7018,f7023,f7028,f7032,f7033,f7037,f7041,f7042,f7046,f7051,f7055,f7059,f7063,f7068,f7072,f7073,f7077,f7081,f7086,f7091,f7095,f7099,f7103,f7112,f7116,f7117,f7121,f7125,f7129,f7134,f7135,f7140,f7144,f7149,f7150,f7151,f7155,f7159,f7160,f7165,f7172,f7173,f7177,f7181,f7182,f7187,f7192,f7193,f7198,f7199,f7204,f7209,f7210,f7215,f7219,f7226,f7230,f7231,f7235,f7239,f7240,f7244,f7249,f7250,f7255,f7259,f7264,f7270,f7274,f7279,f7287,f7288,f7292,f7296,f7301,f7302,f7303,f7304,f7305,f7309,f7313,f7314,f7319,f7323,f7324,f7328,f7329,f7330,f7331,f7332,f7333,f7337,f7338,f7339,f7344,f7345,f7346,f7347,f7351,f7352,f7353,f7354,f7358,f7363,f7368,f7369,f7370,f7374,f7378,f7379,f7383,f7387,f7388,f7392,f7397,f7402,f7403,f7407,f7408,f7411,f7412,f7413,f7414,f7415,f7419,f7420,f7424,f7431,f7435,f7439,f7443,f7447,f7454,f7455,f7456,f7457,f7461,f7462,f7466,f7470,f7475,f7479,f7480,f7484,f7488,f7492,f7496,f7500,f7505,f7506,f7507,f7511,f7516,f7521,f7522,f7526,f7530,f7535,f7539,f7540,f7544,f7548,f7549,f7553,f7558,f7562,f7566,f7567,f7571,f7576,f7580,f7581,f7585,f7588,f7592,f7596,f7600,f7604,f7605,f7607,f7612,f7616,f7619,f7623,f7624,f7625,f7626,f7627,f7628,f7632,f7636,f7643,f7647,f7648,f7653,f7657,f7658,f7663,f7667,f7668,f7669,f7674,f7675,f7680,f7681,f7685,f7689,f7693,f7694,f7698,f7702,f7706,f7707,f7711,f7715,f7721,f7725,f7726,f7727,f7731,f7736,f7740,f7745,f7749,f7753,f7758,f7762,f7767,f7771,f7772,f7776,f7781,f7782,f7786,f7790,f7794,f7798,f7802,f7803,f7808,f7809,f7810,f7811,f7814,f7818,f7819,f7824,f7831,f7838,f7839,f7844,f7849,f7853,f7857,f7858,f7862,f7863,f7864,f7874,f7878,f7883,f7884,f7885,f7889,f7893,f7894,f7898,f7902,f7906,f7907,f7911,f7912,f7918,f7922,f7926,f7930,f7931,f7935,f7940,f7944,f7948,f7954,f7958,f7962,f7966,f7967,f8087,f8096,f8103,f8117,f8125,f8134,f8138,f8143,f8151,f8160,f8164,f8210,f8216,f8220,f8225,f8226,f8241,f8249,f8254,f8566,f8600,f8619,f8629,f8633,f8658,f8666,f8675,f8684,f8690,f8704,f8714,f8716,f8888,f8897,f8902,f8907,f8914,f8919,f8924,f8935,f8940,f8950,f8958,f8963,f9208,f9213,f9227,f9237,f9268,f9277,f9288,f9305,f9337,f9360,f9392,f9401,f9407,f9413,f9419,f9421,f9423,f9525,f9541,f9576,f9596,f9615,f9619,f9631,f9641,f9654,f9662,f9688,f9697,f9714,f9726,f9731,f9754,f9775,f9788,f9797,f9800,f9815,f9820,f9823,f9824]) ).
fof(f9824,plain,
( spl578_388
| spl578_378
| ~ spl578_333 ),
inference(avatar_split_clause,[],[f9459,f8687,f9651,f9728]) ).
fof(f9728,plain,
( spl578_388
<=> element(sK409,a_2_0_yellow19(sK407,sK408)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_388])]) ).
fof(f9651,plain,
( spl578_378
<=> empty(a_2_0_yellow19(sK407,sK408)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_378])]) ).
fof(f8687,plain,
( spl578_333
<=> in(sK409,a_2_0_yellow19(sK407,sK408)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_333])]) ).
fof(f9459,plain,
( empty(a_2_0_yellow19(sK407,sK408))
| element(sK409,a_2_0_yellow19(sK407,sK408))
| ~ spl578_333 ),
inference(resolution,[],[f8688,f4095]) ).
fof(f4095,plain,
! [X0,X1] :
( ~ in(X1,X0)
| element(X1,X0)
| empty(X0) ),
inference(cnf_transformation,[],[f1181]) ).
fof(f1181,plain,
! [X0,X1] :
( ( ( in(X1,X0)
<=> element(X1,X0) )
| empty(X0) )
& ( ~ empty(X0)
| ( element(X1,X0)
<=> empty(X1) ) ) ),
inference(ennf_transformation,[],[f159]) ).
fof(f159,axiom,
! [X1,X0] :
( ( ~ empty(X0)
=> ( in(X1,X0)
<=> element(X1,X0) ) )
& ( empty(X0)
=> ( element(X1,X0)
<=> empty(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_subset_1) ).
fof(f8688,plain,
( in(sK409,a_2_0_yellow19(sK407,sK408))
| ~ spl578_333 ),
inference(avatar_component_clause,[],[f8687]) ).
fof(f9823,plain,
( ~ spl578_394
| spl578_393
| ~ spl578_333 ),
inference(avatar_split_clause,[],[f9431,f8687,f9791,f9794]) ).
fof(f9794,plain,
( spl578_394
<=> epsilon_connected(a_2_0_yellow19(sK407,sK408)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_394])]) ).
fof(f9791,plain,
( spl578_393
<=> ! [X2] :
( ~ in(X2,a_2_0_yellow19(sK407,sK408))
| sK409 = X2
| in(sK409,X2)
| in(X2,sK409) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_393])]) ).
fof(f9431,plain,
( ! [X3] :
( ~ in(X3,a_2_0_yellow19(sK407,sK408))
| ~ epsilon_connected(a_2_0_yellow19(sK407,sK408))
| sK409 = X3
| in(sK409,X3)
| in(X3,sK409) )
| ~ spl578_333 ),
inference(resolution,[],[f8688,f2556]) ).
fof(f2556,plain,
! [X2,X0,X1] :
( ~ epsilon_connected(X0)
| ~ in(X2,X0)
| ~ in(X1,X0)
| X1 = X2
| in(X2,X1)
| in(X1,X2) ),
inference(cnf_transformation,[],[f2155]) ).
fof(f2155,plain,
! [X0] :
( epsilon_connected(X0)
<=> ! [X2,X1] :
( ~ in(X1,X0)
| in(X2,X1)
| ~ in(X2,X0)
| X1 = X2
| in(X1,X2) ) ),
inference(ennf_transformation,[],[f171]) ).
fof(f171,axiom,
! [X0] :
( epsilon_connected(X0)
<=> ! [X2,X1] :
~ ( X1 != X2
& ~ in(X2,X1)
& in(X1,X0)
& ~ in(X1,X2)
& in(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_ordinal1) ).
fof(f9820,plain,
( spl578_396
| ~ spl578_379
| ~ spl578_333 ),
inference(avatar_split_clause,[],[f9494,f8687,f9656,f9817]) ).
fof(f9817,plain,
( spl578_396
<=> sP190(sK409,a_2_0_yellow19(sK407,sK408)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_396])]) ).
fof(f9656,plain,
( spl578_379
<=> ordinal(sK409) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_379])]) ).
fof(f9494,plain,
( ~ ordinal(sK409)
| sP190(sK409,a_2_0_yellow19(sK407,sK408))
| ~ spl578_333 ),
inference(resolution,[],[f8688,f5279]) ).
fof(f5279,plain,
! [X0,X6] :
( ~ ordinal(X6)
| sP190(X6,X0)
| ~ in(X6,X0) ),
inference(equality_resolution,[],[f3172]) ).
fof(f3172,plain,
! [X0,X6,X5] :
( ~ in(X6,X0)
| X5 != X6
| ~ ordinal(X5)
| sP190(X5,X0) ),
inference(cnf_transformation,[],[f1332]) ).
fof(f1332,plain,
! [X0] :
( ? [X2,X3,X1] :
( X2 = X3
& ordinal(X3)
& ordinal(X1)
& X1 != X3
& X1 = X2 )
| ? [X4] :
! [X5] :
( in(X5,X4)
<=> ? [X6] :
( ordinal(X5)
& X5 = X6
& in(X6,X0) ) ) ),
inference(flattening,[],[f1331]) ).
fof(f1331,plain,
! [X0] :
( ? [X4] :
! [X5] :
( in(X5,X4)
<=> ? [X6] :
( ordinal(X5)
& X5 = X6
& in(X6,X0) ) )
| ? [X1,X3,X2] :
( X1 != X3
& ordinal(X3)
& ordinal(X1)
& X1 = X2
& X2 = X3 ) ),
inference(ennf_transformation,[],[f1065]) ).
fof(f1065,plain,
! [X0] :
( ! [X1,X3,X2] :
( ( ordinal(X3)
& ordinal(X1)
& X1 = X2
& X2 = X3 )
=> X1 = X3 )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ? [X6] :
( ordinal(X5)
& X5 = X6
& in(X6,X0) ) ) ),
inference(rectify,[],[f623]) ).
fof(f623,axiom,
! [X0] :
( ! [X3,X1,X2] :
( ( ordinal(X3)
& X1 = X3
& ordinal(X2)
& X1 = X2 )
=> X2 = X3 )
=> ? [X1] :
! [X2] :
( in(X2,X1)
<=> ? [X3] :
( ordinal(X2)
& in(X3,X0)
& X2 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e6_22__wellord2__1) ).
fof(f9815,plain,
( spl578_395
| spl578_366
| ~ spl578_333 ),
inference(avatar_split_clause,[],[f9471,f8687,f9562,f9813]) ).
fof(f9813,plain,
( spl578_395
<=> ! [X69] :
( in(sK492(a_2_0_yellow19(sK407,sK408),X69),sK409)
| in(sK492(a_2_0_yellow19(sK407,sK408),X69),X69)
| set_meet(a_2_0_yellow19(sK407,sK408)) = X69 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_395])]) ).
fof(f9562,plain,
( spl578_366
<=> empty_set = a_2_0_yellow19(sK407,sK408) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_366])]) ).
fof(f9471,plain,
( ! [X69] :
( empty_set = a_2_0_yellow19(sK407,sK408)
| in(sK492(a_2_0_yellow19(sK407,sK408),X69),sK409)
| set_meet(a_2_0_yellow19(sK407,sK408)) = X69
| in(sK492(a_2_0_yellow19(sK407,sK408),X69),X69) )
| ~ spl578_333 ),
inference(resolution,[],[f8688,f4709]) ).
fof(f4709,plain,
! [X3,X0,X1] :
( ~ in(X3,X0)
| in(sK492(X0,X1),X3)
| in(sK492(X0,X1),X1)
| empty_set = X0
| set_meet(X0) = X1 ),
inference(cnf_transformation,[],[f2203]) ).
fof(f2203,plain,
! [X1,X0] :
( ( empty_set = X0
| ( set_meet(X0) = X1
<=> ! [X2] :
( ! [X3] :
( in(X2,X3)
| ~ in(X3,X0) )
<=> in(X2,X1) ) ) )
& ( ( empty_set = X1
<=> set_meet(X0) = X1 )
| empty_set != X0 ) ),
inference(ennf_transformation,[],[f137]) ).
fof(f137,axiom,
! [X0,X1] :
( ( empty_set != X0
=> ( set_meet(X0) = X1
<=> ! [X2] :
( ! [X3] :
( in(X3,X0)
=> in(X2,X3) )
<=> in(X2,X1) ) ) )
& ( empty_set = X0
=> ( empty_set = X1
<=> set_meet(X0) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_setfam_1) ).
fof(f9800,plain,
( ~ spl578_364
| spl578_366
| spl578_375
| ~ spl578_367
| spl578_365
| ~ spl578_369
| ~ spl578_333 ),
inference(avatar_split_clause,[],[f9477,f8687,f9573,f9558,f9566,f9617,f9562,f9554]) ).
fof(f9554,plain,
( spl578_364
<=> element(a_2_0_yellow19(sK407,sK408),powerset(powerset(sK510))) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_364])]) ).
fof(f9617,plain,
( spl578_375
<=> ! [X78,X79] :
( ~ ordinal(X78)
| ~ sP511(X79,X78)
| in(X79,sK508(X78)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_375])]) ).
fof(f9566,plain,
( spl578_367
<=> in(sK510,omega) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_367])]) ).
fof(f9558,plain,
( spl578_365
<=> sK409 = sK515(a_2_0_yellow19(sK407,sK408)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_365])]) ).
fof(f9573,plain,
( spl578_369
<=> subset(sK515(a_2_0_yellow19(sK407,sK408)),sK409) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_369])]) ).
fof(f9477,plain,
( ! [X74,X75] :
( ~ subset(sK515(a_2_0_yellow19(sK407,sK408)),sK409)
| sK409 = sK515(a_2_0_yellow19(sK407,sK408))
| ~ in(sK510,omega)
| ~ sP511(X75,X74)
| empty_set = a_2_0_yellow19(sK407,sK408)
| ~ ordinal(X74)
| ~ element(a_2_0_yellow19(sK407,sK408),powerset(powerset(sK510)))
| in(X75,sK508(X74)) )
| ~ spl578_333 ),
inference(resolution,[],[f8688,f4794]) ).
fof(f4794,plain,
! [X0,X7,X5,X13] :
( ~ ordinal(X0)
| in(X13,sK508(X0))
| ~ in(X7,X5)
| ~ in(sK510,omega)
| ~ element(X5,powerset(powerset(sK510)))
| empty_set = X5
| ~ sP511(X13,X0)
| ~ subset(sK515(X5),X7)
| sK515(X5) = X7 ),
inference(cnf_transformation,[],[f1490]) ).
fof(f1490,plain,
! [X0] :
( ? [X12] :
! [X13] :
( ? [X14] :
( ? [X15] :
( ( ~ in(X15,omega)
| ! [X16] :
( ? [X17] :
( in(X17,X16)
& ! [X18] :
( ~ subset(X17,X18)
| X17 = X18
| ~ in(X18,X16) ) )
| empty_set = X16
| ~ element(X16,powerset(powerset(X15))) ) )
& X13 = X15
& ordinal(X15) )
& in(X14,succ(X0))
& X13 = X14 )
<=> in(X13,X12) )
| ? [X1,X2,X3] :
( ? [X4] :
( ordinal(X4)
& ( ! [X5] :
( empty_set = X5
| ? [X6] :
( ! [X7] :
( ~ in(X7,X5)
| X6 = X7
| ~ subset(X6,X7) )
& in(X6,X5) )
| ~ element(X5,powerset(powerset(X4))) )
| ~ in(X4,omega) )
& X2 = X4 )
& X1 = X3
& X2 != X3
& X1 = X2
& ? [X8] :
( ordinal(X8)
& X3 = X8
& ( ! [X9] :
( empty_set = X9
| ? [X10] :
( ! [X11] :
( ~ subset(X10,X11)
| ~ in(X11,X9)
| X10 = X11 )
& in(X10,X9) )
| ~ element(X9,powerset(powerset(X8))) )
| ~ in(X8,omega) ) ) )
| ~ ordinal(X0) ),
inference(flattening,[],[f1489]) ).
fof(f1489,plain,
! [X0] :
( ? [X12] :
! [X13] :
( in(X13,X12)
<=> ? [X14] :
( in(X14,succ(X0))
& ? [X15] :
( X13 = X15
& ( ! [X16] :
( empty_set = X16
| ? [X17] :
( in(X17,X16)
& ! [X18] :
( X17 = X18
| ~ subset(X17,X18)
| ~ in(X18,X16) ) )
| ~ element(X16,powerset(powerset(X15))) )
| ~ in(X15,omega) )
& ordinal(X15) )
& X13 = X14 ) )
| ? [X2,X1,X3] :
( X2 != X3
& X1 = X3
& ? [X8] :
( ordinal(X8)
& ( ! [X9] :
( ? [X10] :
( ! [X11] :
( X10 = X11
| ~ subset(X10,X11)
| ~ in(X11,X9) )
& in(X10,X9) )
| empty_set = X9
| ~ element(X9,powerset(powerset(X8))) )
| ~ in(X8,omega) )
& X3 = X8 )
& ? [X4] :
( ordinal(X4)
& X2 = X4
& ( ! [X5] :
( ? [X6] :
( in(X6,X5)
& ! [X7] :
( X6 = X7
| ~ subset(X6,X7)
| ~ in(X7,X5) ) )
| empty_set = X5
| ~ element(X5,powerset(powerset(X4))) )
| ~ in(X4,omega) ) )
& X1 = X2 )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f1085]) ).
fof(f1085,plain,
! [X0] :
( ordinal(X0)
=> ( ! [X2,X1,X3] :
( ( X1 = X3
& ? [X8] :
( ordinal(X8)
& ( in(X8,omega)
=> ! [X9] :
( element(X9,powerset(powerset(X8)))
=> ~ ( ! [X10] :
~ ( ! [X11] :
( ( subset(X10,X11)
& in(X11,X9) )
=> X10 = X11 )
& in(X10,X9) )
& empty_set != X9 ) ) )
& X3 = X8 )
& ? [X4] :
( ordinal(X4)
& X2 = X4
& ( in(X4,omega)
=> ! [X5] :
( element(X5,powerset(powerset(X4)))
=> ~ ( ! [X6] :
~ ( in(X6,X5)
& ! [X7] :
( ( subset(X6,X7)
& in(X7,X5) )
=> X6 = X7 ) )
& empty_set != X5 ) ) ) )
& X1 = X2 )
=> X2 = X3 )
=> ? [X12] :
! [X13] :
( in(X13,X12)
<=> ? [X14] :
( in(X14,succ(X0))
& ? [X15] :
( X13 = X15
& ( in(X15,omega)
=> ! [X16] :
( element(X16,powerset(powerset(X15)))
=> ~ ( empty_set != X16
& ! [X17] :
~ ( in(X17,X16)
& ! [X18] :
( ( subset(X17,X18)
& in(X18,X16) )
=> X17 = X18 ) ) ) ) )
& ordinal(X15) )
& X13 = X14 ) ) ) ),
inference(rectify,[],[f614]) ).
fof(f614,axiom,
! [X0] :
( ordinal(X0)
=> ( ! [X2,X1,X3] :
( ( X1 = X3
& ? [X8] :
( ordinal(X8)
& ( in(X8,omega)
=> ! [X9] :
( element(X9,powerset(powerset(X8)))
=> ~ ( ! [X10] :
~ ( ! [X11] :
( ( subset(X10,X11)
& in(X11,X9) )
=> X10 = X11 )
& in(X10,X9) )
& empty_set != X9 ) ) )
& X3 = X8 )
& ? [X4] :
( ordinal(X4)
& X2 = X4
& ( in(X4,omega)
=> ! [X5] :
( element(X5,powerset(powerset(X4)))
=> ~ ( ! [X6] :
~ ( in(X6,X5)
& ! [X7] :
( ( subset(X6,X7)
& in(X7,X5) )
=> X6 = X7 ) )
& empty_set != X5 ) ) ) )
& X1 = X2 )
=> X2 = X3 )
=> ? [X1] :
! [X2] :
( ? [X3] :
( X2 = X3
& in(X3,succ(X0))
& ? [X12] :
( ordinal(X12)
& ( in(X12,omega)
=> ! [X13] :
( element(X13,powerset(powerset(X12)))
=> ~ ( ! [X14] :
~ ( in(X14,X13)
& ! [X15] :
( ( in(X15,X13)
& subset(X14,X15) )
=> X14 = X15 ) )
& empty_set != X13 ) ) )
& X2 = X12 ) )
<=> in(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e18_27__finset_1__1) ).
fof(f9797,plain,
( spl578_393
| ~ spl578_394
| ~ spl578_333 ),
inference(avatar_split_clause,[],[f9430,f8687,f9794,f9791]) ).
fof(f9430,plain,
( ! [X2] :
( ~ epsilon_connected(a_2_0_yellow19(sK407,sK408))
| ~ in(X2,a_2_0_yellow19(sK407,sK408))
| in(X2,sK409)
| in(sK409,X2)
| sK409 = X2 )
| ~ spl578_333 ),
inference(resolution,[],[f8688,f2556]) ).
fof(f9788,plain,
( ~ spl578_387
| ~ spl578_333 ),
inference(avatar_split_clause,[],[f9451,f8687,f9723]) ).
fof(f9723,plain,
( spl578_387
<=> in(a_2_0_yellow19(sK407,sK408),sK409) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_387])]) ).
fof(f9451,plain,
( ~ in(a_2_0_yellow19(sK407,sK408),sK409)
| ~ spl578_333 ),
inference(resolution,[],[f8688,f3651]) ).
fof(f3651,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f1597]) ).
fof(f1597,plain,
! [X1,X0] :
( ~ in(X0,X1)
| ~ in(X1,X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f9775,plain,
( ~ spl578_391
| spl578_392
| ~ spl578_333 ),
inference(avatar_split_clause,[],[f9766,f8687,f9772,f9768]) ).
fof(f9768,plain,
( spl578_391
<=> relation(a_2_0_yellow19(sK407,sK408)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_391])]) ).
fof(f9772,plain,
( spl578_392
<=> sK409 = unordered_pair(singleton(sK316(sK409)),unordered_pair(sK315(sK409),sK316(sK409))) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_392])]) ).
fof(f9766,plain,
( sK409 = unordered_pair(singleton(sK316(sK409)),unordered_pair(sK315(sK409),sK316(sK409)))
| ~ relation(a_2_0_yellow19(sK407,sK408))
| ~ spl578_333 ),
inference(forward_demodulation,[],[f9765,f5184]) ).
fof(f5184,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f89]) ).
fof(f89,axiom,
! [X1,X0] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f9765,plain,
( unordered_pair(singleton(sK316(sK409)),unordered_pair(sK316(sK409),sK315(sK409))) = sK409
| ~ relation(a_2_0_yellow19(sK407,sK408))
| ~ spl578_333 ),
inference(forward_demodulation,[],[f9764,f5184]) ).
fof(f9764,plain,
( sK409 = unordered_pair(unordered_pair(sK316(sK409),sK315(sK409)),singleton(sK316(sK409)))
| ~ relation(a_2_0_yellow19(sK407,sK408))
| ~ spl578_333 ),
inference(forward_demodulation,[],[f9453,f4268]) ).
fof(f4268,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f194]) ).
fof(f194,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(f9453,plain,
( ~ relation(a_2_0_yellow19(sK407,sK408))
| sK409 = ordered_pair(sK316(sK409),sK315(sK409))
| ~ spl578_333 ),
inference(resolution,[],[f8688,f3785]) ).
fof(f3785,plain,
! [X0,X1] :
( ~ relation(X0)
| ordered_pair(sK316(X1),sK315(X1)) = X1
| ~ in(X1,X0) ),
inference(cnf_transformation,[],[f2127]) ).
fof(f2127,plain,
! [X0] :
( ! [X1] :
( ~ in(X1,X0)
| ? [X2,X3] : ordered_pair(X3,X2) = X1 )
<=> relation(X0) ),
inference(ennf_transformation,[],[f1032]) ).
fof(f1032,plain,
! [X0] :
( ! [X1] :
~ ( in(X1,X0)
& ! [X3,X2] : ordered_pair(X3,X2) != X1 )
<=> relation(X0) ),
inference(rectify,[],[f134]) ).
fof(f134,axiom,
! [X0] :
( ! [X1] :
~ ( in(X1,X0)
& ! [X3,X2] : ordered_pair(X2,X3) != X1 )
<=> relation(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_relat_1) ).
fof(f9754,plain,
( spl578_389
| ~ spl578_390
| ~ spl578_333 ),
inference(avatar_split_clause,[],[f9472,f8687,f9751,f9748]) ).
fof(f9748,plain,
( spl578_389
<=> ! [X70] : ~ in(X70,a_2_0_yellow19(sK407,sK408)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_389])]) ).
fof(f9751,plain,
( spl578_390
<=> in(sK409,sK504(a_2_0_yellow19(sK407,sK408))) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_390])]) ).
fof(f9472,plain,
( ! [X70] :
( ~ in(sK409,sK504(a_2_0_yellow19(sK407,sK408)))
| ~ in(X70,a_2_0_yellow19(sK407,sK408)) )
| ~ spl578_333 ),
inference(resolution,[],[f8688,f4762]) ).
fof(f4762,plain,
! [X3,X0,X1] :
( ~ in(X0,X1)
| ~ in(X3,sK504(X1))
| ~ in(X3,X1) ),
inference(cnf_transformation,[],[f1762]) ).
fof(f1762,plain,
! [X0,X1] :
( ? [X2] :
( in(X2,X1)
& ! [X3] :
( ~ in(X3,X2)
| ~ in(X3,X1) ) )
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f865]) ).
fof(f865,axiom,
! [X1,X0] :
~ ( in(X0,X1)
& ! [X2] :
~ ( ! [X3] :
~ ( in(X3,X1)
& in(X3,X2) )
& in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_tarski) ).
fof(f9731,plain,
( spl578_388
| ~ spl578_333 ),
inference(avatar_split_clause,[],[f9475,f8687,f9728]) ).
fof(f9475,plain,
( element(sK409,a_2_0_yellow19(sK407,sK408))
| ~ spl578_333 ),
inference(resolution,[],[f8688,f4786]) ).
fof(f4786,plain,
! [X0,X1] :
( element(X1,X0)
| ~ in(X1,X0) ),
inference(cnf_transformation,[],[f1619]) ).
fof(f1619,plain,
! [X0,X1] :
( ~ in(X1,X0)
| element(X1,X0) ),
inference(ennf_transformation,[],[f1004]) ).
fof(f1004,plain,
! [X1,X0] :
( in(X1,X0)
=> element(X1,X0) ),
inference(rectify,[],[f707]) ).
fof(f707,axiom,
! [X1,X0] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f9726,plain,
( ~ spl578_387
| ~ spl578_333 ),
inference(avatar_split_clause,[],[f9450,f8687,f9723]) ).
fof(f9450,plain,
( ~ in(a_2_0_yellow19(sK407,sK408),sK409)
| ~ spl578_333 ),
inference(resolution,[],[f8688,f3651]) ).
fof(f9714,plain,
( spl578_366
| spl578_384
| spl578_385
| ~ spl578_386
| ~ spl578_333 ),
inference(avatar_split_clause,[],[f9476,f8687,f9711,f9708,f9704,f9562]) ).
fof(f9704,plain,
( spl578_384
<=> sK409 = sK517(a_2_0_yellow19(sK407,sK408)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_384])]) ).
fof(f9708,plain,
( spl578_385
<=> ! [X73,X72] :
( ~ sP511(X72,X73)
| ~ element(a_2_0_yellow19(sK407,sK408),powerset(powerset(sK513(X72))))
| ~ in(sK513(X72),omega) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_385])]) ).
fof(f9711,plain,
( spl578_386
<=> subset(sK517(a_2_0_yellow19(sK407,sK408)),sK409) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_386])]) ).
fof(f9476,plain,
( ! [X72,X73] :
( ~ subset(sK517(a_2_0_yellow19(sK407,sK408)),sK409)
| ~ sP511(X72,X73)
| sK409 = sK517(a_2_0_yellow19(sK407,sK408))
| ~ in(sK513(X72),omega)
| empty_set = a_2_0_yellow19(sK407,sK408)
| ~ element(a_2_0_yellow19(sK407,sK408),powerset(powerset(sK513(X72)))) )
| ~ spl578_333 ),
inference(resolution,[],[f8688,f4787]) ).
fof(f4787,plain,
! [X0,X18,X16,X13] :
( ~ in(X18,X16)
| ~ in(sK513(X13),omega)
| sK517(X16) = X18
| ~ subset(sK517(X16),X18)
| empty_set = X16
| ~ element(X16,powerset(powerset(sK513(X13))))
| ~ sP511(X13,X0) ),
inference(cnf_transformation,[],[f1490]) ).
fof(f9697,plain,
( ~ spl578_382
| spl578_383
| ~ spl578_333 ),
inference(avatar_split_clause,[],[f9443,f8687,f9694,f9690]) ).
fof(f9690,plain,
( spl578_382
<=> epsilon_transitive(a_2_0_yellow19(sK407,sK408)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_382])]) ).
fof(f9694,plain,
( spl578_383
<=> subset(sK409,a_2_0_yellow19(sK407,sK408)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_383])]) ).
fof(f9443,plain,
( subset(sK409,a_2_0_yellow19(sK407,sK408))
| ~ epsilon_transitive(a_2_0_yellow19(sK407,sK408))
| ~ spl578_333 ),
inference(resolution,[],[f8688,f3109]) ).
fof(f3109,plain,
! [X0,X1] :
( ~ epsilon_transitive(X0)
| ~ in(X1,X0)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f1551]) ).
fof(f1551,plain,
! [X0] :
( ! [X1] :
( ~ in(X1,X0)
| subset(X1,X0) )
<=> epsilon_transitive(X0) ),
inference(ennf_transformation,[],[f156]) ).
fof(f156,axiom,
! [X0] :
( ! [X1] :
( in(X1,X0)
=> subset(X1,X0) )
<=> epsilon_transitive(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_ordinal1) ).
fof(f9688,plain,
( spl578_381
| ~ spl578_333 ),
inference(avatar_split_clause,[],[f9489,f8687,f9685]) ).
fof(f9685,plain,
( spl578_381
<=> sP103(singleton(sK409),a_2_0_yellow19(sK407,sK408)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_381])]) ).
fof(f9489,plain,
( sP103(singleton(sK409),a_2_0_yellow19(sK407,sK408))
| ~ spl578_333 ),
inference(resolution,[],[f8688,f5235]) ).
fof(f5235,plain,
! [X0,X6] :
( sP103(singleton(X6),X0)
| ~ in(X6,X0) ),
inference(equality_resolution,[],[f2724]) ).
fof(f2724,plain,
! [X0,X6,X5] :
( ~ in(X6,X0)
| singleton(X6) != X5
| sP103(X5,X0) ),
inference(cnf_transformation,[],[f1830]) ).
fof(f1830,plain,
! [X0] :
( ? [X4] :
! [X5] :
( ? [X6] :
( singleton(X6) = X5
& in(X6,X0)
& in(X6,X0) )
<=> in(X5,X4) )
| ? [X2,X3,X1] :
( in(X2,X0)
& in(X2,X0)
& singleton(X2) = X1
& X1 != X3
& singleton(X2) = X3 ) ),
inference(flattening,[],[f1829]) ).
fof(f1829,plain,
! [X0] :
( ? [X4] :
! [X5] :
( ? [X6] :
( singleton(X6) = X5
& in(X6,X0)
& in(X6,X0) )
<=> in(X5,X4) )
| ? [X2,X1,X3] :
( X1 != X3
& in(X2,X0)
& singleton(X2) = X1
& in(X2,X0)
& singleton(X2) = X3 ) ),
inference(ennf_transformation,[],[f1057]) ).
fof(f1057,plain,
! [X0] :
( ! [X2,X1,X3] :
( ( in(X2,X0)
& singleton(X2) = X1
& in(X2,X0)
& singleton(X2) = X3 )
=> X1 = X3 )
=> ? [X4] :
! [X5] :
( ? [X6] :
( singleton(X6) = X5
& in(X6,X0)
& in(X6,X0) )
<=> in(X5,X4) ) ),
inference(rectify,[],[f612]) ).
fof(f612,axiom,
! [X0] :
( ! [X2,X1,X3] :
( ( singleton(X1) = X3
& singleton(X1) = X2
& in(X1,X0)
& in(X1,X0) )
=> X2 = X3 )
=> ? [X1] :
! [X2] :
( ? [X3] :
( in(X3,X0)
& singleton(X3) = X2
& in(X3,X0) )
<=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e16_22__wellord2__1) ).
fof(f9662,plain,
( ~ spl578_379
| spl578_380
| ~ spl578_333 ),
inference(avatar_split_clause,[],[f9503,f8687,f9660,f9656]) ).
fof(f9660,plain,
( spl578_380
<=> ! [X119] :
( sP358(sK409,a_2_0_yellow19(sK407,sK408),X119)
| ~ in(sK409,succ(X119)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_380])]) ).
fof(f9503,plain,
( ! [X119] :
( sP358(sK409,a_2_0_yellow19(sK407,sK408),X119)
| ~ ordinal(sK409)
| ~ in(sK409,succ(X119)) )
| ~ spl578_333 ),
inference(resolution,[],[f8688,f5390]) ).
fof(f5390,plain,
! [X10,X0,X1] :
( sP358(X10,X1,X0)
| ~ in(X10,X1)
| ~ ordinal(X10)
| ~ in(X10,succ(X0)) ),
inference(equality_resolution,[],[f5389]) ).
fof(f5389,plain,
! [X10,X0,X1,X9] :
( ~ ordinal(X10)
| ~ in(X10,X1)
| X9 != X10
| ~ in(X9,succ(X0))
| sP358(X10,X1,X0) ),
inference(equality_resolution,[],[f4037]) ).
fof(f4037,plain,
! [X10,X0,X1,X8,X9] :
( X8 != X10
| ~ ordinal(X10)
| ~ in(X10,X1)
| X8 != X9
| ~ in(X9,succ(X0))
| sP358(X8,X1,X0) ),
inference(cnf_transformation,[],[f1479]) ).
fof(f1479,plain,
! [X0,X1] :
( ~ ordinal(X0)
| ? [X7] :
! [X8] :
( in(X8,X7)
<=> ? [X9] :
( in(X9,succ(X0))
& X8 = X9
& ? [X10] :
( in(X10,X1)
& ordinal(X10)
& X8 = X10 ) ) )
| ? [X2,X3,X4] :
( X2 != X4
& X3 = X4
& ? [X6] :
( ordinal(X6)
& in(X6,X1)
& X4 = X6 )
& X2 = X3
& ? [X5] :
( ordinal(X5)
& X2 = X5
& in(X5,X1) ) ) ),
inference(flattening,[],[f1478]) ).
fof(f1478,plain,
! [X0,X1] :
( ? [X7] :
! [X8] :
( in(X8,X7)
<=> ? [X9] :
( in(X9,succ(X0))
& X8 = X9
& ? [X10] :
( in(X10,X1)
& ordinal(X10)
& X8 = X10 ) ) )
| ? [X4,X3,X2] :
( X2 != X4
& X3 = X4
& X2 = X3
& ? [X5] :
( ordinal(X5)
& X2 = X5
& in(X5,X1) )
& ? [X6] :
( ordinal(X6)
& in(X6,X1)
& X4 = X6 ) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f1086]) ).
fof(f1086,plain,
! [X0,X1] :
( ordinal(X0)
=> ( ! [X4,X3,X2] :
( ( X3 = X4
& X2 = X3
& ? [X5] :
( ordinal(X5)
& X2 = X5
& in(X5,X1) )
& ? [X6] :
( ordinal(X6)
& in(X6,X1)
& X4 = X6 ) )
=> X2 = X4 )
=> ? [X7] :
! [X8] :
( in(X8,X7)
<=> ? [X9] :
( in(X9,succ(X0))
& X8 = X9
& ? [X10] :
( in(X10,X1)
& ordinal(X10)
& X8 = X10 ) ) ) ) ),
inference(rectify,[],[f625]) ).
fof(f625,axiom,
! [X1,X0] :
( ordinal(X1)
=> ( ! [X4,X2,X3] :
( ( ? [X6] :
( in(X6,X0)
& X4 = X6
& ordinal(X6) )
& X2 = X3
& ? [X5] :
( ordinal(X5)
& X3 = X5
& in(X5,X0) )
& X2 = X4 )
=> X3 = X4 )
=> ? [X2] :
! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,succ(X1))
& X3 = X4
& ? [X7] :
( in(X7,X0)
& ordinal(X7)
& X3 = X7 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e8_6__wellord2__1) ).
fof(f9654,plain,
( ~ spl578_378
| ~ spl578_333 ),
inference(avatar_split_clause,[],[f9455,f8687,f9651]) ).
fof(f9455,plain,
( ~ empty(a_2_0_yellow19(sK407,sK408))
| ~ spl578_333 ),
inference(resolution,[],[f8688,f3838]) ).
fof(f3838,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f1227]) ).
fof(f1227,plain,
! [X1,X0] :
( ~ empty(X0)
| ~ in(X1,X0) ),
inference(ennf_transformation,[],[f1018]) ).
fof(f1018,plain,
! [X1,X0] :
~ ( empty(X0)
& in(X1,X0) ),
inference(rectify,[],[f862]) ).
fof(f862,axiom,
! [X1,X0] :
~ ( in(X0,X1)
& empty(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f9641,plain,
( spl578_377
| spl578_31
| ~ spl578_39
| ~ spl578_40
| ~ spl578_329
| ~ spl578_333
| ~ spl578_340 ),
inference(avatar_split_clause,[],[f9636,f8916,f8687,f8655,f6189,f6183,f6071,f9638]) ).
fof(f9638,plain,
( spl578_377
<=> sK409 = sK15(sK408,sK409,sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_377])]) ).
fof(f6071,plain,
( spl578_31
<=> empty_carrier(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_31])]) ).
fof(f6183,plain,
( spl578_39
<=> top_str(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_39])]) ).
fof(f6189,plain,
( spl578_40
<=> topological_space(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_40])]) ).
fof(f8655,plain,
( spl578_329
<=> element(sK408,cast_as_carrier_subset(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_329])]) ).
fof(f8916,plain,
( spl578_340
<=> cast_as_carrier_subset(sK407) = the_carrier(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_340])]) ).
fof(f9636,plain,
( sK409 = sK15(sK408,sK409,sK407)
| spl578_31
| ~ spl578_39
| ~ spl578_40
| ~ spl578_329
| ~ spl578_333
| ~ spl578_340 ),
inference(subsumption_resolution,[],[f9635,f8657]) ).
fof(f8657,plain,
( element(sK408,cast_as_carrier_subset(sK407))
| ~ spl578_329 ),
inference(avatar_component_clause,[],[f8655]) ).
fof(f9635,plain,
( sK409 = sK15(sK408,sK409,sK407)
| ~ element(sK408,cast_as_carrier_subset(sK407))
| spl578_31
| ~ spl578_39
| ~ spl578_40
| ~ spl578_333
| ~ spl578_340 ),
inference(forward_demodulation,[],[f9634,f8918]) ).
fof(f8918,plain,
( cast_as_carrier_subset(sK407) = the_carrier(sK407)
| ~ spl578_340 ),
inference(avatar_component_clause,[],[f8916]) ).
fof(f9634,plain,
( ~ element(sK408,the_carrier(sK407))
| sK409 = sK15(sK408,sK409,sK407)
| spl578_31
| ~ spl578_39
| ~ spl578_40
| ~ spl578_333 ),
inference(subsumption_resolution,[],[f9633,f6073]) ).
fof(f6073,plain,
( ~ empty_carrier(sK407)
| spl578_31 ),
inference(avatar_component_clause,[],[f6071]) ).
fof(f9633,plain,
( ~ element(sK408,the_carrier(sK407))
| sK409 = sK15(sK408,sK409,sK407)
| empty_carrier(sK407)
| ~ spl578_39
| ~ spl578_40
| ~ spl578_333 ),
inference(subsumption_resolution,[],[f9632,f6191]) ).
fof(f6191,plain,
( topological_space(sK407)
| ~ spl578_40 ),
inference(avatar_component_clause,[],[f6189]) ).
fof(f9632,plain,
( sK409 = sK15(sK408,sK409,sK407)
| ~ element(sK408,the_carrier(sK407))
| ~ topological_space(sK407)
| empty_carrier(sK407)
| ~ spl578_39
| ~ spl578_333 ),
inference(subsumption_resolution,[],[f9427,f6185]) ).
fof(f6185,plain,
( top_str(sK407)
| ~ spl578_39 ),
inference(avatar_component_clause,[],[f6183]) ).
fof(f9427,plain,
( sK409 = sK15(sK408,sK409,sK407)
| ~ top_str(sK407)
| empty_carrier(sK407)
| ~ element(sK408,the_carrier(sK407))
| ~ topological_space(sK407)
| ~ spl578_333 ),
inference(resolution,[],[f8688,f2278]) ).
fof(f2278,plain,
! [X2,X0,X1] :
( ~ topological_space(X2)
| ~ top_str(X2)
| ~ element(X0,the_carrier(X2))
| ~ in(X1,a_2_0_yellow19(X2,X0))
| empty_carrier(X2)
| sK15(X0,X1,X2) = X1 ),
inference(cnf_transformation,[],[f2025]) ).
fof(f2025,plain,
! [X0,X2,X1] :
( empty_carrier(X2)
| ~ topological_space(X2)
| ( ? [X3] :
( X1 = X3
& point_neighbourhood(X3,X2,X0) )
<=> in(X1,a_2_0_yellow19(X2,X0)) )
| ~ top_str(X2)
| ~ element(X0,the_carrier(X2)) ),
inference(flattening,[],[f2024]) ).
fof(f2024,plain,
! [X1,X2,X0] :
( ( ? [X3] :
( X1 = X3
& point_neighbourhood(X3,X2,X0) )
<=> in(X1,a_2_0_yellow19(X2,X0)) )
| ~ topological_space(X2)
| ~ element(X0,the_carrier(X2))
| ~ top_str(X2)
| empty_carrier(X2) ),
inference(ennf_transformation,[],[f1137]) ).
fof(f1137,plain,
! [X1,X2,X0] :
( ( topological_space(X2)
& element(X0,the_carrier(X2))
& top_str(X2)
& ~ empty_carrier(X2) )
=> ( ? [X3] :
( X1 = X3
& point_neighbourhood(X3,X2,X0) )
<=> in(X1,a_2_0_yellow19(X2,X0)) ) ),
inference(rectify,[],[f458]) ).
fof(f458,axiom,
! [X2,X0,X1] :
( ( element(X2,the_carrier(X1))
& top_str(X1)
& ~ empty_carrier(X1)
& topological_space(X1) )
=> ( ? [X3] :
( X0 = X3
& point_neighbourhood(X3,X1,X2) )
<=> in(X0,a_2_0_yellow19(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_2_0_yellow19) ).
fof(f9631,plain,
( spl578_366
| spl578_376
| ~ spl578_333 ),
inference(avatar_split_clause,[],[f9517,f8687,f9629,f9562]) ).
fof(f9629,plain,
( spl578_376
<=> ! [X143] :
( in(X143,sK409)
| ~ in(X143,set_meet(a_2_0_yellow19(sK407,sK408))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_376])]) ).
fof(f9517,plain,
( ! [X143] :
( in(X143,sK409)
| empty_set = a_2_0_yellow19(sK407,sK408)
| ~ in(X143,set_meet(a_2_0_yellow19(sK407,sK408))) )
| ~ spl578_333 ),
inference(resolution,[],[f8688,f5486]) ).
fof(f5486,plain,
! [X2,X3,X0] :
( empty_set = X0
| ~ in(X2,set_meet(X0))
| in(X2,X3)
| ~ in(X3,X0) ),
inference(equality_resolution,[],[f4712]) ).
fof(f4712,plain,
! [X2,X3,X0,X1] :
( ~ in(X2,X1)
| ~ in(X3,X0)
| in(X2,X3)
| set_meet(X0) != X1
| empty_set = X0 ),
inference(cnf_transformation,[],[f2203]) ).
fof(f9619,plain,
( spl578_373
| ~ spl578_371
| spl578_366
| ~ spl578_374
| ~ spl578_372
| spl578_375
| ~ spl578_333 ),
inference(avatar_split_clause,[],[f9479,f8687,f9617,f9604,f9612,f9562,f9600,f9608]) ).
fof(f9608,plain,
( spl578_373
<=> sK409 = sK514(a_2_0_yellow19(sK407,sK408)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_373])]) ).
fof(f9600,plain,
( spl578_371
<=> element(a_2_0_yellow19(sK407,sK408),powerset(powerset(sK509))) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_371])]) ).
fof(f9612,plain,
( spl578_374
<=> subset(sK514(a_2_0_yellow19(sK407,sK408)),sK409) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_374])]) ).
fof(f9604,plain,
( spl578_372
<=> in(sK509,omega) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_372])]) ).
fof(f9479,plain,
( ! [X78,X79] :
( ~ ordinal(X78)
| in(X79,sK508(X78))
| ~ sP511(X79,X78)
| ~ in(sK509,omega)
| ~ subset(sK514(a_2_0_yellow19(sK407,sK408)),sK409)
| empty_set = a_2_0_yellow19(sK407,sK408)
| ~ element(a_2_0_yellow19(sK407,sK408),powerset(powerset(sK509)))
| sK409 = sK514(a_2_0_yellow19(sK407,sK408)) )
| ~ spl578_333 ),
inference(resolution,[],[f8688,f4796]) ).
fof(f4796,plain,
! [X0,X11,X9,X13] :
( ~ ordinal(X0)
| ~ element(X9,powerset(powerset(sK509)))
| ~ in(sK509,omega)
| in(X13,sK508(X0))
| sK514(X9) = X11
| ~ subset(sK514(X9),X11)
| empty_set = X9
| ~ sP511(X13,X0)
| ~ in(X11,X9) ),
inference(cnf_transformation,[],[f1490]) ).
fof(f9615,plain,
( spl578_366
| ~ spl578_371
| ~ spl578_372
| spl578_373
| ~ spl578_374
| spl578_368
| ~ spl578_333 ),
inference(avatar_split_clause,[],[f9480,f8687,f9570,f9612,f9608,f9604,f9600,f9562]) ).
fof(f9570,plain,
( spl578_368
<=> ! [X77,X76] :
( ~ ordinal(X76)
| ~ in(X77,sK508(X76))
| sP511(X77,X76) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_368])]) ).
fof(f9480,plain,
( ! [X80,X81] :
( ~ ordinal(X80)
| ~ subset(sK514(a_2_0_yellow19(sK407,sK408)),sK409)
| sK409 = sK514(a_2_0_yellow19(sK407,sK408))
| ~ in(X81,sK508(X80))
| ~ in(sK509,omega)
| ~ element(a_2_0_yellow19(sK407,sK408),powerset(powerset(sK509)))
| empty_set = a_2_0_yellow19(sK407,sK408)
| sP511(X81,X80) )
| ~ spl578_333 ),
inference(resolution,[],[f8688,f4797]) ).
fof(f4797,plain,
! [X0,X11,X9,X13] :
( ~ subset(sK514(X9),X11)
| ~ ordinal(X0)
| ~ in(X13,sK508(X0))
| ~ in(X11,X9)
| sK514(X9) = X11
| ~ in(sK509,omega)
| empty_set = X9
| sP511(X13,X0)
| ~ element(X9,powerset(powerset(sK509))) ),
inference(cnf_transformation,[],[f1490]) ).
fof(f9596,plain,
( spl578_370
| spl578_31
| ~ spl578_39
| ~ spl578_40
| ~ spl578_329
| ~ spl578_333
| ~ spl578_340 ),
inference(avatar_split_clause,[],[f9591,f8916,f8687,f8655,f6189,f6183,f6071,f9593]) ).
fof(f9593,plain,
( spl578_370
<=> point_neighbourhood(sK15(sK408,sK409,sK407),sK407,sK408) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_370])]) ).
fof(f9591,plain,
( point_neighbourhood(sK15(sK408,sK409,sK407),sK407,sK408)
| spl578_31
| ~ spl578_39
| ~ spl578_40
| ~ spl578_329
| ~ spl578_333
| ~ spl578_340 ),
inference(subsumption_resolution,[],[f9590,f8657]) ).
fof(f9590,plain,
( ~ element(sK408,cast_as_carrier_subset(sK407))
| point_neighbourhood(sK15(sK408,sK409,sK407),sK407,sK408)
| spl578_31
| ~ spl578_39
| ~ spl578_40
| ~ spl578_333
| ~ spl578_340 ),
inference(forward_demodulation,[],[f9589,f8918]) ).
fof(f9589,plain,
( point_neighbourhood(sK15(sK408,sK409,sK407),sK407,sK408)
| ~ element(sK408,the_carrier(sK407))
| spl578_31
| ~ spl578_39
| ~ spl578_40
| ~ spl578_333 ),
inference(subsumption_resolution,[],[f9588,f6185]) ).
fof(f9588,plain,
( ~ element(sK408,the_carrier(sK407))
| point_neighbourhood(sK15(sK408,sK409,sK407),sK407,sK408)
| ~ top_str(sK407)
| spl578_31
| ~ spl578_40
| ~ spl578_333 ),
inference(subsumption_resolution,[],[f9587,f6073]) ).
fof(f9587,plain,
( empty_carrier(sK407)
| ~ top_str(sK407)
| point_neighbourhood(sK15(sK408,sK409,sK407),sK407,sK408)
| ~ element(sK408,the_carrier(sK407))
| ~ spl578_40
| ~ spl578_333 ),
inference(subsumption_resolution,[],[f9426,f6191]) ).
fof(f9426,plain,
( ~ topological_space(sK407)
| point_neighbourhood(sK15(sK408,sK409,sK407),sK407,sK408)
| ~ top_str(sK407)
| ~ element(sK408,the_carrier(sK407))
| empty_carrier(sK407)
| ~ spl578_333 ),
inference(resolution,[],[f8688,f2277]) ).
fof(f2277,plain,
! [X2,X0,X1] :
( ~ in(X1,a_2_0_yellow19(X2,X0))
| ~ top_str(X2)
| ~ element(X0,the_carrier(X2))
| empty_carrier(X2)
| ~ topological_space(X2)
| point_neighbourhood(sK15(X0,X1,X2),X2,X0) ),
inference(cnf_transformation,[],[f2025]) ).
fof(f9576,plain,
( ~ spl578_364
| spl578_365
| spl578_366
| ~ spl578_367
| spl578_368
| ~ spl578_369
| ~ spl578_333 ),
inference(avatar_split_clause,[],[f9478,f8687,f9573,f9570,f9566,f9562,f9558,f9554]) ).
fof(f9478,plain,
( ! [X76,X77] :
( ~ subset(sK515(a_2_0_yellow19(sK407,sK408)),sK409)
| ~ ordinal(X76)
| ~ in(sK510,omega)
| sP511(X77,X76)
| ~ in(X77,sK508(X76))
| empty_set = a_2_0_yellow19(sK407,sK408)
| sK409 = sK515(a_2_0_yellow19(sK407,sK408))
| ~ element(a_2_0_yellow19(sK407,sK408),powerset(powerset(sK510))) )
| ~ spl578_333 ),
inference(resolution,[],[f8688,f4795]) ).
fof(f4795,plain,
! [X0,X7,X5,X13] :
( ~ ordinal(X0)
| ~ subset(sK515(X5),X7)
| ~ in(X13,sK508(X0))
| sP511(X13,X0)
| ~ in(sK510,omega)
| sK515(X5) = X7
| ~ in(X7,X5)
| empty_set = X5
| ~ element(X5,powerset(powerset(sK510))) ),
inference(cnf_transformation,[],[f1490]) ).
fof(f9541,plain,
( spl578_363
| ~ spl578_333 ),
inference(avatar_split_clause,[],[f9536,f8687,f9538]) ).
fof(f9538,plain,
( spl578_363
<=> in(singleton(singleton(sK409)),identity_relation(a_2_0_yellow19(sK407,sK408))) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_363])]) ).
fof(f9536,plain,
( in(singleton(singleton(sK409)),identity_relation(a_2_0_yellow19(sK407,sK408)))
| ~ spl578_333 ),
inference(forward_demodulation,[],[f9535,f4543]) ).
fof(f4543,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f851]) ).
fof(f851,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f9535,plain,
( in(unordered_pair(singleton(sK409),singleton(sK409)),identity_relation(a_2_0_yellow19(sK407,sK408)))
| ~ spl578_333 ),
inference(forward_demodulation,[],[f9534,f4543]) ).
fof(f9534,plain,
( in(unordered_pair(singleton(sK409),unordered_pair(sK409,sK409)),identity_relation(a_2_0_yellow19(sK407,sK408)))
| ~ spl578_333 ),
inference(forward_demodulation,[],[f9533,f5184]) ).
fof(f9533,plain,
( in(unordered_pair(unordered_pair(sK409,sK409),singleton(sK409)),identity_relation(a_2_0_yellow19(sK407,sK408)))
| ~ spl578_333 ),
inference(forward_demodulation,[],[f9532,f4268]) ).
fof(f9532,plain,
( in(ordered_pair(sK409,sK409),identity_relation(a_2_0_yellow19(sK407,sK408)))
| ~ spl578_333 ),
inference(subsumption_resolution,[],[f9484,f4030]) ).
fof(f4030,plain,
! [X0] : relation(identity_relation(X0)),
inference(cnf_transformation,[],[f302]) ).
fof(f302,axiom,
! [X0] : relation(identity_relation(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_relat_1) ).
fof(f9484,plain,
( in(ordered_pair(sK409,sK409),identity_relation(a_2_0_yellow19(sK407,sK408)))
| ~ relation(identity_relation(a_2_0_yellow19(sK407,sK408)))
| ~ spl578_333 ),
inference(resolution,[],[f8688,f5203]) ).
fof(f5203,plain,
! [X3,X0] :
( ~ relation(identity_relation(X0))
| in(ordered_pair(X3,X3),identity_relation(X0))
| ~ in(X3,X0) ),
inference(equality_resolution,[],[f5202]) ).
fof(f5202,plain,
! [X2,X3,X0] :
( ~ relation(identity_relation(X0))
| in(ordered_pair(X3,X2),identity_relation(X0))
| ~ in(X3,X0)
| X2 != X3 ),
inference(equality_resolution,[],[f2413]) ).
fof(f2413,plain,
! [X2,X3,X0,X1] :
( ~ relation(X1)
| identity_relation(X0) != X1
| in(ordered_pair(X3,X2),X1)
| ~ in(X3,X0)
| X2 != X3 ),
inference(cnf_transformation,[],[f1856]) ).
fof(f1856,plain,
! [X0,X1] :
( ( ! [X3,X2] :
( ( X2 = X3
& in(X3,X0) )
<=> in(ordered_pair(X3,X2),X1) )
<=> identity_relation(X0) = X1 )
| ~ relation(X1) ),
inference(ennf_transformation,[],[f1069]) ).
fof(f1069,plain,
! [X1,X0] :
( relation(X1)
=> ( ! [X3,X2] :
( ( X2 = X3
& in(X3,X0) )
<=> in(ordered_pair(X3,X2),X1) )
<=> identity_relation(X0) = X1 ) ),
inference(rectify,[],[f97]) ).
fof(f97,axiom,
! [X0,X1] :
( relation(X1)
=> ( ! [X3,X2] :
( ( X2 = X3
& in(X2,X0) )
<=> in(ordered_pair(X2,X3),X1) )
<=> identity_relation(X0) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_relat_1) ).
fof(f9525,plain,
( spl578_362
| ~ spl578_333 ),
inference(avatar_split_clause,[],[f9474,f8687,f9522]) ).
fof(f9522,plain,
( spl578_362
<=> in(sK504(a_2_0_yellow19(sK407,sK408)),a_2_0_yellow19(sK407,sK408)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_362])]) ).
fof(f9474,plain,
( in(sK504(a_2_0_yellow19(sK407,sK408)),a_2_0_yellow19(sK407,sK408))
| ~ spl578_333 ),
inference(resolution,[],[f8688,f4763]) ).
fof(f4763,plain,
! [X0,X1] :
( ~ in(X0,X1)
| in(sK504(X1),X1) ),
inference(cnf_transformation,[],[f1762]) ).
fof(f9423,plain,
( ~ spl578_361
| spl578_324
| ~ spl578_340 ),
inference(avatar_split_clause,[],[f9422,f8916,f8593,f9416]) ).
fof(f9416,plain,
( spl578_361
<=> sK408 = union(cast_as_carrier_subset(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_361])]) ).
fof(f8593,plain,
( spl578_324
<=> sK408 = union(the_carrier(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_324])]) ).
fof(f9422,plain,
( sK408 != union(cast_as_carrier_subset(sK407))
| spl578_324
| ~ spl578_340 ),
inference(forward_demodulation,[],[f8594,f8918]) ).
fof(f8594,plain,
( sK408 != union(the_carrier(sK407))
| spl578_324 ),
inference(avatar_component_clause,[],[f8593]) ).
fof(f9421,plain,
( ~ spl578_353
| spl578_325
| ~ spl578_340 ),
inference(avatar_split_clause,[],[f9420,f8916,f8597,f9285]) ).
fof(f9285,plain,
( spl578_353
<=> proper_element(sK408,cast_as_carrier_subset(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_353])]) ).
fof(f8597,plain,
( spl578_325
<=> proper_element(sK408,the_carrier(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_325])]) ).
fof(f9420,plain,
( ~ proper_element(sK408,cast_as_carrier_subset(sK407))
| spl578_325
| ~ spl578_340 ),
inference(forward_demodulation,[],[f8598,f8918]) ).
fof(f8598,plain,
( ~ proper_element(sK408,the_carrier(sK407))
| spl578_325 ),
inference(avatar_component_clause,[],[f8597]) ).
fof(f9419,plain,
( spl578_361
| ~ spl578_324
| ~ spl578_340 ),
inference(avatar_split_clause,[],[f9414,f8916,f8593,f9416]) ).
fof(f9414,plain,
( sK408 = union(cast_as_carrier_subset(sK407))
| ~ spl578_324
| ~ spl578_340 ),
inference(forward_demodulation,[],[f8595,f8918]) ).
fof(f8595,plain,
( sK408 = union(the_carrier(sK407))
| ~ spl578_324 ),
inference(avatar_component_clause,[],[f8593]) ).
fof(f9413,plain,
( spl578_360
| ~ spl578_340
| ~ spl578_344 ),
inference(avatar_split_clause,[],[f9408,f8947,f8916,f9410]) ).
fof(f9410,plain,
( spl578_360
<=> element(sK110(sK407),powerset(powerset(cast_as_carrier_subset(sK407)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_360])]) ).
fof(f8947,plain,
( spl578_344
<=> element(sK110(sK407),powerset(powerset(the_carrier(sK407)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_344])]) ).
fof(f9408,plain,
( element(sK110(sK407),powerset(powerset(cast_as_carrier_subset(sK407))))
| ~ spl578_340
| ~ spl578_344 ),
inference(forward_demodulation,[],[f8949,f8918]) ).
fof(f8949,plain,
( element(sK110(sK407),powerset(powerset(the_carrier(sK407))))
| ~ spl578_344 ),
inference(avatar_component_clause,[],[f8947]) ).
fof(f9407,plain,
( spl578_359
| ~ spl578_340
| ~ spl578_342 ),
inference(avatar_split_clause,[],[f9402,f8932,f8916,f9404]) ).
fof(f9404,plain,
( spl578_359
<=> quasi_total(identity_on_carrier(sK407),cast_as_carrier_subset(sK407),cast_as_carrier_subset(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_359])]) ).
fof(f8932,plain,
( spl578_342
<=> quasi_total(identity_on_carrier(sK407),the_carrier(sK407),the_carrier(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_342])]) ).
fof(f9402,plain,
( quasi_total(identity_on_carrier(sK407),cast_as_carrier_subset(sK407),cast_as_carrier_subset(sK407))
| ~ spl578_340
| ~ spl578_342 ),
inference(forward_demodulation,[],[f8934,f8918]) ).
fof(f8934,plain,
( quasi_total(identity_on_carrier(sK407),the_carrier(sK407),the_carrier(sK407))
| ~ spl578_342 ),
inference(avatar_component_clause,[],[f8932]) ).
fof(f9401,plain,
( spl578_358
| ~ spl578_340
| ~ spl578_346 ),
inference(avatar_split_clause,[],[f9396,f8960,f8916,f9398]) ).
fof(f9398,plain,
( spl578_358
<=> identity_as_relation_of(cast_as_carrier_subset(sK407)) = identity_on_carrier(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_358])]) ).
fof(f8960,plain,
( spl578_346
<=> identity_as_relation_of(the_carrier(sK407)) = identity_on_carrier(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_346])]) ).
fof(f9396,plain,
( identity_as_relation_of(cast_as_carrier_subset(sK407)) = identity_on_carrier(sK407)
| ~ spl578_340
| ~ spl578_346 ),
inference(forward_demodulation,[],[f8962,f8918]) ).
fof(f8962,plain,
( identity_as_relation_of(the_carrier(sK407)) = identity_on_carrier(sK407)
| ~ spl578_346 ),
inference(avatar_component_clause,[],[f8960]) ).
fof(f9392,plain,
( spl578_357
| ~ spl578_337
| ~ spl578_340 ),
inference(avatar_split_clause,[],[f9197,f8916,f8899,f9389]) ).
fof(f9389,plain,
( spl578_357
<=> element(cast_as_carrier_subset(sK407),powerset(cast_as_carrier_subset(sK407))) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_357])]) ).
fof(f8899,plain,
( spl578_337
<=> element(cast_as_carrier_subset(sK407),powerset(the_carrier(sK407))) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_337])]) ).
fof(f9197,plain,
( element(cast_as_carrier_subset(sK407),powerset(cast_as_carrier_subset(sK407)))
| ~ spl578_337
| ~ spl578_340 ),
inference(backward_demodulation,[],[f8901,f8918]) ).
fof(f8901,plain,
( element(cast_as_carrier_subset(sK407),powerset(the_carrier(sK407)))
| ~ spl578_337 ),
inference(avatar_component_clause,[],[f8899]) ).
fof(f9360,plain,
( spl578_356
| ~ spl578_320
| ~ spl578_340 ),
inference(avatar_split_clause,[],[f9102,f8916,f8238,f9357]) ).
fof(f9357,plain,
( spl578_356
<=> element(sK547(sK407),powerset(cast_as_carrier_subset(sK407))) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_356])]) ).
fof(f8238,plain,
( spl578_320
<=> element(sK547(sK407),powerset(the_carrier(sK407))) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_320])]) ).
fof(f9102,plain,
( element(sK547(sK407),powerset(cast_as_carrier_subset(sK407)))
| ~ spl578_320
| ~ spl578_340 ),
inference(backward_demodulation,[],[f8240,f8918]) ).
fof(f8240,plain,
( element(sK547(sK407),powerset(the_carrier(sK407)))
| ~ spl578_320 ),
inference(avatar_component_clause,[],[f8238]) ).
fof(f9337,plain,
( spl578_355
| ~ spl578_335
| ~ spl578_340 ),
inference(avatar_split_clause,[],[f9194,f8916,f8885,f9334]) ).
fof(f9334,plain,
( spl578_355
<=> relation_of2_as_subset(identity_on_carrier(sK407),cast_as_carrier_subset(sK407),cast_as_carrier_subset(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_355])]) ).
fof(f8885,plain,
( spl578_335
<=> relation_of2_as_subset(identity_on_carrier(sK407),the_carrier(sK407),the_carrier(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_335])]) ).
fof(f9194,plain,
( relation_of2_as_subset(identity_on_carrier(sK407),cast_as_carrier_subset(sK407),cast_as_carrier_subset(sK407))
| ~ spl578_335
| ~ spl578_340 ),
inference(backward_demodulation,[],[f8887,f8918]) ).
fof(f8887,plain,
( relation_of2_as_subset(identity_on_carrier(sK407),the_carrier(sK407),the_carrier(sK407))
| ~ spl578_335 ),
inference(avatar_component_clause,[],[f8885]) ).
fof(f9305,plain,
( spl578_354
| ~ spl578_323
| ~ spl578_340 ),
inference(avatar_split_clause,[],[f9110,f8916,f8563,f9302]) ).
fof(f9302,plain,
( spl578_354
<=> in(sK408,cast_as_carrier_subset(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_354])]) ).
fof(f8563,plain,
( spl578_323
<=> in(sK408,the_carrier(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_323])]) ).
fof(f9110,plain,
( in(sK408,cast_as_carrier_subset(sK407))
| ~ spl578_323
| ~ spl578_340 ),
inference(backward_demodulation,[],[f8565,f8918]) ).
fof(f8565,plain,
( in(sK408,the_carrier(sK407))
| ~ spl578_323 ),
inference(avatar_component_clause,[],[f8563]) ).
fof(f9288,plain,
( spl578_353
| ~ spl578_325
| ~ spl578_340 ),
inference(avatar_split_clause,[],[f9119,f8916,f8597,f9285]) ).
fof(f9119,plain,
( proper_element(sK408,cast_as_carrier_subset(sK407))
| ~ spl578_325
| ~ spl578_340 ),
inference(backward_demodulation,[],[f8599,f8918]) ).
fof(f8599,plain,
( proper_element(sK408,the_carrier(sK407))
| ~ spl578_325 ),
inference(avatar_component_clause,[],[f8597]) ).
fof(f9277,plain,
( spl578_352
| ~ spl578_322
| ~ spl578_340 ),
inference(avatar_split_clause,[],[f9103,f8916,f8251,f9274]) ).
fof(f9274,plain,
( spl578_352
<=> element(sK399(sK407),powerset(cast_as_carrier_subset(sK407))) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_352])]) ).
fof(f8251,plain,
( spl578_322
<=> element(sK399(sK407),powerset(the_carrier(sK407))) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_322])]) ).
fof(f9103,plain,
( element(sK399(sK407),powerset(cast_as_carrier_subset(sK407)))
| ~ spl578_322
| ~ spl578_340 ),
inference(backward_demodulation,[],[f8253,f8918]) ).
fof(f8253,plain,
( element(sK399(sK407),powerset(the_carrier(sK407)))
| ~ spl578_322 ),
inference(avatar_component_clause,[],[f8251]) ).
fof(f9268,plain,
( spl578_351
| ~ spl578_315
| ~ spl578_340 ),
inference(avatar_split_clause,[],[f9064,f8916,f8157,f9265]) ).
fof(f9265,plain,
( spl578_351
<=> element(sK107(sK407),powerset(cast_as_carrier_subset(sK407))) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_351])]) ).
fof(f8157,plain,
( spl578_315
<=> element(sK107(sK407),powerset(the_carrier(sK407))) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_315])]) ).
fof(f9064,plain,
( element(sK107(sK407),powerset(cast_as_carrier_subset(sK407)))
| ~ spl578_315
| ~ spl578_340 ),
inference(backward_demodulation,[],[f8159,f8918]) ).
fof(f8159,plain,
( element(sK107(sK407),powerset(the_carrier(sK407)))
| ~ spl578_315 ),
inference(avatar_component_clause,[],[f8157]) ).
fof(f9237,plain,
( spl578_350
| ~ spl578_165
| ~ spl578_340 ),
inference(avatar_split_clause,[],[f8998,f8916,f7252,f9234]) ).
fof(f9234,plain,
( spl578_350
<=> element(sK43(sK407),powerset(cast_as_carrier_subset(sK407))) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_350])]) ).
fof(f7252,plain,
( spl578_165
<=> element(sK43(sK407),powerset(the_carrier(sK407))) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_165])]) ).
fof(f8998,plain,
( element(sK43(sK407),powerset(cast_as_carrier_subset(sK407)))
| ~ spl578_165
| ~ spl578_340 ),
inference(backward_demodulation,[],[f7254,f8918]) ).
fof(f7254,plain,
( element(sK43(sK407),powerset(the_carrier(sK407)))
| ~ spl578_165 ),
inference(avatar_component_clause,[],[f7252]) ).
fof(f9227,plain,
( ~ spl578_349
| spl578_327
| ~ spl578_340 ),
inference(avatar_split_clause,[],[f9123,f8916,f8622,f9224]) ).
fof(f9224,plain,
( spl578_349
<=> ordinal(cast_as_carrier_subset(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_349])]) ).
fof(f8622,plain,
( spl578_327
<=> ordinal(the_carrier(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_327])]) ).
fof(f9123,plain,
( ~ ordinal(cast_as_carrier_subset(sK407))
| spl578_327
| ~ spl578_340 ),
inference(backward_demodulation,[],[f8624,f8918]) ).
fof(f8624,plain,
( ~ ordinal(the_carrier(sK407))
| spl578_327 ),
inference(avatar_component_clause,[],[f8622]) ).
fof(f9213,plain,
( spl578_348
| ~ spl578_159
| ~ spl578_340 ),
inference(avatar_split_clause,[],[f8996,f8916,f7223,f9210]) ).
fof(f9210,plain,
( spl578_348
<=> element(sK345(sK407),powerset(cast_as_carrier_subset(sK407))) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_348])]) ).
fof(f7223,plain,
( spl578_159
<=> element(sK345(sK407),powerset(the_carrier(sK407))) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_159])]) ).
fof(f8996,plain,
( element(sK345(sK407),powerset(cast_as_carrier_subset(sK407)))
| ~ spl578_159
| ~ spl578_340 ),
inference(backward_demodulation,[],[f7225,f8918]) ).
fof(f7225,plain,
( element(sK345(sK407),powerset(the_carrier(sK407)))
| ~ spl578_159 ),
inference(avatar_component_clause,[],[f7223]) ).
fof(f9208,plain,
( spl578_347
| ~ spl578_202
| ~ spl578_340 ),
inference(avatar_split_clause,[],[f9005,f8916,f7451,f9205]) ).
fof(f9205,plain,
( spl578_347
<=> element(sK86(sK407),powerset(cast_as_carrier_subset(sK407))) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_347])]) ).
fof(f7451,plain,
( spl578_202
<=> element(sK86(sK407),powerset(the_carrier(sK407))) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_202])]) ).
fof(f9005,plain,
( element(sK86(sK407),powerset(cast_as_carrier_subset(sK407)))
| ~ spl578_202
| ~ spl578_340 ),
inference(backward_demodulation,[],[f7453,f8918]) ).
fof(f7453,plain,
( element(sK86(sK407),powerset(the_carrier(sK407)))
| ~ spl578_202 ),
inference(avatar_component_clause,[],[f7451]) ).
fof(f8963,plain,
( spl578_346
| ~ spl578_47 ),
inference(avatar_split_clause,[],[f8743,f6693,f8960]) ).
fof(f6693,plain,
( spl578_47
<=> one_sorted_str(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_47])]) ).
fof(f8743,plain,
( identity_as_relation_of(the_carrier(sK407)) = identity_on_carrier(sK407)
| ~ spl578_47 ),
inference(resolution,[],[f6694,f2878]) ).
fof(f2878,plain,
! [X0] :
( identity_on_carrier(X0) = identity_as_relation_of(the_carrier(X0))
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f2124]) ).
fof(f2124,plain,
! [X0] :
( identity_on_carrier(X0) = identity_as_relation_of(the_carrier(X0))
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f100]) ).
fof(f100,axiom,
! [X0] :
( one_sorted_str(X0)
=> identity_on_carrier(X0) = identity_as_relation_of(the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_grcat_1) ).
fof(f6694,plain,
( one_sorted_str(sK407)
| ~ spl578_47 ),
inference(avatar_component_clause,[],[f6693]) ).
fof(f8958,plain,
( spl578_345
| ~ spl578_47 ),
inference(avatar_split_clause,[],[f8782,f6693,f8955]) ).
fof(f8955,plain,
( spl578_345
<=> net_str(sK205(sK407),sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_345])]) ).
fof(f8782,plain,
( net_str(sK205(sK407),sK407)
| ~ spl578_47 ),
inference(resolution,[],[f6694,f3250]) ).
fof(f3250,plain,
! [X0] :
( net_str(sK205(X0),X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f2033]) ).
fof(f2033,plain,
! [X0] :
( ~ one_sorted_str(X0)
| ? [X1] : net_str(X1,X0) ),
inference(ennf_transformation,[],[f341]) ).
fof(f341,axiom,
! [X0] :
( one_sorted_str(X0)
=> ? [X1] : net_str(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_waybel_0) ).
fof(f8950,plain,
( spl578_344
| ~ spl578_47 ),
inference(avatar_split_clause,[],[f8736,f6693,f8947]) ).
fof(f8736,plain,
( element(sK110(sK407),powerset(powerset(the_carrier(sK407))))
| ~ spl578_47 ),
inference(resolution,[],[f6694,f2807]) ).
fof(f2807,plain,
! [X0] :
( element(sK110(X0),powerset(powerset(the_carrier(X0))))
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f1711]) ).
fof(f1711,plain,
! [X0] :
( ~ one_sorted_str(X0)
| ? [X1] :
( ~ empty(X1)
& finite(X1)
& element(X1,powerset(powerset(the_carrier(X0)))) ) ),
inference(ennf_transformation,[],[f546]) ).
fof(f546,axiom,
! [X0] :
( one_sorted_str(X0)
=> ? [X1] :
( ~ empty(X1)
& finite(X1)
& element(X1,powerset(powerset(the_carrier(X0)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_waybel_7) ).
fof(f8940,plain,
( spl578_343
| ~ spl578_47 ),
inference(avatar_split_clause,[],[f8732,f6693,f8937]) ).
fof(f8937,plain,
( spl578_343
<=> strict_net_str(sK90(sK407),sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_343])]) ).
fof(f8732,plain,
( strict_net_str(sK90(sK407),sK407)
| ~ spl578_47 ),
inference(resolution,[],[f6694,f2692]) ).
fof(f2692,plain,
! [X0] :
( strict_net_str(sK90(X0),X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f2199]) ).
fof(f2199,plain,
! [X0] :
( ~ one_sorted_str(X0)
| ? [X1] :
( strict_net_str(X1,X0)
& net_str(X1,X0) ) ),
inference(ennf_transformation,[],[f550]) ).
fof(f550,axiom,
! [X0] :
( one_sorted_str(X0)
=> ? [X1] :
( strict_net_str(X1,X0)
& net_str(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc4_waybel_0) ).
fof(f8935,plain,
( spl578_342
| ~ spl578_47 ),
inference(avatar_split_clause,[],[f8841,f6693,f8932]) ).
fof(f8841,plain,
( quasi_total(identity_on_carrier(sK407),the_carrier(sK407),the_carrier(sK407))
| ~ spl578_47 ),
inference(resolution,[],[f6694,f4560]) ).
fof(f4560,plain,
! [X0] :
( ~ one_sorted_str(X0)
| quasi_total(identity_on_carrier(X0),the_carrier(X0),the_carrier(X0)) ),
inference(cnf_transformation,[],[f1800]) ).
fof(f1800,plain,
! [X0] :
( ( relation_of2_as_subset(identity_on_carrier(X0),the_carrier(X0),the_carrier(X0))
& quasi_total(identity_on_carrier(X0),the_carrier(X0),the_carrier(X0))
& function(identity_on_carrier(X0)) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f307]) ).
fof(f307,axiom,
! [X0] :
( one_sorted_str(X0)
=> ( relation_of2_as_subset(identity_on_carrier(X0),the_carrier(X0),the_carrier(X0))
& quasi_total(identity_on_carrier(X0),the_carrier(X0),the_carrier(X0))
& function(identity_on_carrier(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_grcat_1) ).
fof(f8924,plain,
( spl578_341
| ~ spl578_47 ),
inference(avatar_split_clause,[],[f8731,f6693,f8921]) ).
fof(f8921,plain,
( spl578_341
<=> net_str(sK90(sK407),sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_341])]) ).
fof(f8731,plain,
( net_str(sK90(sK407),sK407)
| ~ spl578_47 ),
inference(resolution,[],[f6694,f2691]) ).
fof(f2691,plain,
! [X0] :
( net_str(sK90(X0),X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f2199]) ).
fof(f8919,plain,
( spl578_340
| ~ spl578_47 ),
inference(avatar_split_clause,[],[f8781,f6693,f8916]) ).
fof(f8781,plain,
( cast_as_carrier_subset(sK407) = the_carrier(sK407)
| ~ spl578_47 ),
inference(resolution,[],[f6694,f3169]) ).
fof(f3169,plain,
! [X0] :
( the_carrier(X0) = cast_as_carrier_subset(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f1552]) ).
fof(f1552,plain,
! [X0] :
( the_carrier(X0) = cast_as_carrier_subset(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f172]) ).
fof(f172,axiom,
! [X0] :
( one_sorted_str(X0)
=> the_carrier(X0) = cast_as_carrier_subset(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_pre_topc) ).
fof(f8914,plain,
( spl578_339
| ~ spl578_47 ),
inference(avatar_split_clause,[],[f8737,f6693,f8911]) ).
fof(f8911,plain,
( spl578_339
<=> finite(sK110(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_339])]) ).
fof(f8737,plain,
( finite(sK110(sK407))
| ~ spl578_47 ),
inference(resolution,[],[f6694,f2808]) ).
fof(f2808,plain,
! [X0] :
( finite(sK110(X0))
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f1711]) ).
fof(f8907,plain,
( spl578_338
| ~ spl578_47 ),
inference(avatar_split_clause,[],[f8840,f6693,f8904]) ).
fof(f8904,plain,
( spl578_338
<=> function(identity_on_carrier(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_338])]) ).
fof(f8840,plain,
( function(identity_on_carrier(sK407))
| ~ spl578_47 ),
inference(resolution,[],[f6694,f4559]) ).
fof(f4559,plain,
! [X0] :
( function(identity_on_carrier(X0))
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f1800]) ).
fof(f8902,plain,
( spl578_337
| ~ spl578_47 ),
inference(avatar_split_clause,[],[f8733,f6693,f8899]) ).
fof(f8733,plain,
( element(cast_as_carrier_subset(sK407),powerset(the_carrier(sK407)))
| ~ spl578_47 ),
inference(resolution,[],[f6694,f2744]) ).
fof(f2744,plain,
! [X0] :
( element(cast_as_carrier_subset(X0),powerset(the_carrier(X0)))
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f1449]) ).
fof(f1449,plain,
! [X0] :
( element(cast_as_carrier_subset(X0),powerset(the_carrier(X0)))
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f264]) ).
fof(f264,axiom,
! [X0] :
( one_sorted_str(X0)
=> element(cast_as_carrier_subset(X0),powerset(the_carrier(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_pre_topc) ).
fof(f8897,plain,
( ~ spl578_336
| ~ spl578_47 ),
inference(avatar_split_clause,[],[f8738,f6693,f8894]) ).
fof(f8894,plain,
( spl578_336
<=> empty(sK110(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_336])]) ).
fof(f8738,plain,
( ~ empty(sK110(sK407))
| ~ spl578_47 ),
inference(resolution,[],[f6694,f2809]) ).
fof(f2809,plain,
! [X0] :
( ~ empty(sK110(X0))
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f1711]) ).
fof(f8888,plain,
( spl578_335
| ~ spl578_47 ),
inference(avatar_split_clause,[],[f8842,f6693,f8885]) ).
fof(f8842,plain,
( relation_of2_as_subset(identity_on_carrier(sK407),the_carrier(sK407),the_carrier(sK407))
| ~ spl578_47 ),
inference(resolution,[],[f6694,f4561]) ).
fof(f4561,plain,
! [X0] :
( ~ one_sorted_str(X0)
| relation_of2_as_subset(identity_on_carrier(X0),the_carrier(X0),the_carrier(X0)) ),
inference(cnf_transformation,[],[f1800]) ).
fof(f8716,plain,
( spl578_333
| ~ spl578_37
| ~ spl578_326 ),
inference(avatar_split_clause,[],[f8715,f8616,f6168,f8687]) ).
fof(f6168,plain,
( spl578_37
<=> in(sK409,neighborhood_system(sK407,sK408)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_37])]) ).
fof(f8616,plain,
( spl578_326
<=> neighborhood_system(sK407,sK408) = a_2_0_yellow19(sK407,sK408) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_326])]) ).
fof(f8715,plain,
( in(sK409,a_2_0_yellow19(sK407,sK408))
| ~ spl578_37
| ~ spl578_326 ),
inference(forward_demodulation,[],[f6169,f8618]) ).
fof(f8618,plain,
( neighborhood_system(sK407,sK408) = a_2_0_yellow19(sK407,sK408)
| ~ spl578_326 ),
inference(avatar_component_clause,[],[f8616]) ).
fof(f6169,plain,
( in(sK409,neighborhood_system(sK407,sK408))
| ~ spl578_37 ),
inference(avatar_component_clause,[],[f6168]) ).
fof(f8714,plain,
( spl578_31
| ~ spl578_35
| ~ spl578_38
| ~ spl578_39
| ~ spl578_40
| spl578_333 ),
inference(avatar_contradiction_clause,[],[f8713]) ).
fof(f8713,plain,
( $false
| spl578_31
| ~ spl578_35
| ~ spl578_38
| ~ spl578_39
| ~ spl578_40
| spl578_333 ),
inference(subsumption_resolution,[],[f8712,f6130]) ).
fof(f6130,plain,
( element(sK408,the_carrier(sK407))
| ~ spl578_35 ),
inference(avatar_component_clause,[],[f6128]) ).
fof(f6128,plain,
( spl578_35
<=> element(sK408,the_carrier(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_35])]) ).
fof(f8712,plain,
( ~ element(sK408,the_carrier(sK407))
| spl578_31
| ~ spl578_38
| ~ spl578_39
| ~ spl578_40
| spl578_333 ),
inference(subsumption_resolution,[],[f8711,f6191]) ).
fof(f8711,plain,
( ~ topological_space(sK407)
| ~ element(sK408,the_carrier(sK407))
| spl578_31
| ~ spl578_38
| ~ spl578_39
| spl578_333 ),
inference(subsumption_resolution,[],[f8710,f6073]) ).
fof(f8710,plain,
( empty_carrier(sK407)
| ~ element(sK408,the_carrier(sK407))
| ~ topological_space(sK407)
| ~ spl578_38
| ~ spl578_39
| spl578_333 ),
inference(subsumption_resolution,[],[f8709,f8689]) ).
fof(f8689,plain,
( ~ in(sK409,a_2_0_yellow19(sK407,sK408))
| spl578_333 ),
inference(avatar_component_clause,[],[f8687]) ).
fof(f8709,plain,
( in(sK409,a_2_0_yellow19(sK407,sK408))
| ~ element(sK408,the_carrier(sK407))
| empty_carrier(sK407)
| ~ topological_space(sK407)
| ~ spl578_38
| ~ spl578_39 ),
inference(subsumption_resolution,[],[f8695,f6185]) ).
fof(f8695,plain,
( ~ top_str(sK407)
| ~ topological_space(sK407)
| in(sK409,a_2_0_yellow19(sK407,sK408))
| empty_carrier(sK407)
| ~ element(sK408,the_carrier(sK407))
| ~ spl578_38 ),
inference(resolution,[],[f6173,f5191]) ).
fof(f5191,plain,
! [X2,X3,X0] :
( ~ point_neighbourhood(X3,X2,X0)
| ~ top_str(X2)
| in(X3,a_2_0_yellow19(X2,X0))
| ~ topological_space(X2)
| empty_carrier(X2)
| ~ element(X0,the_carrier(X2)) ),
inference(equality_resolution,[],[f2276]) ).
fof(f2276,plain,
! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(X2))
| ~ top_str(X2)
| in(X1,a_2_0_yellow19(X2,X0))
| ~ point_neighbourhood(X3,X2,X0)
| X1 != X3
| ~ topological_space(X2)
| empty_carrier(X2) ),
inference(cnf_transformation,[],[f2025]) ).
fof(f6173,plain,
( point_neighbourhood(sK409,sK407,sK408)
| ~ spl578_38 ),
inference(avatar_component_clause,[],[f6172]) ).
fof(f6172,plain,
( spl578_38
<=> point_neighbourhood(sK409,sK407,sK408) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_38])]) ).
fof(f8704,plain,
( spl578_334
| spl578_31
| ~ spl578_35
| ~ spl578_38
| ~ spl578_39
| ~ spl578_40 ),
inference(avatar_split_clause,[],[f8699,f6189,f6183,f6172,f6128,f6071,f8701]) ).
fof(f8701,plain,
( spl578_334
<=> element(sK409,powerset(the_carrier(sK407))) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_334])]) ).
fof(f8699,plain,
( element(sK409,powerset(the_carrier(sK407)))
| spl578_31
| ~ spl578_35
| ~ spl578_38
| ~ spl578_39
| ~ spl578_40 ),
inference(subsumption_resolution,[],[f8698,f6073]) ).
fof(f8698,plain,
( empty_carrier(sK407)
| element(sK409,powerset(the_carrier(sK407)))
| ~ spl578_35
| ~ spl578_38
| ~ spl578_39
| ~ spl578_40 ),
inference(subsumption_resolution,[],[f8697,f6191]) ).
fof(f8697,plain,
( ~ topological_space(sK407)
| empty_carrier(sK407)
| element(sK409,powerset(the_carrier(sK407)))
| ~ spl578_35
| ~ spl578_38
| ~ spl578_39 ),
inference(subsumption_resolution,[],[f8696,f6185]) ).
fof(f8696,plain,
( element(sK409,powerset(the_carrier(sK407)))
| ~ top_str(sK407)
| ~ topological_space(sK407)
| empty_carrier(sK407)
| ~ spl578_35
| ~ spl578_38 ),
inference(subsumption_resolution,[],[f8693,f6130]) ).
fof(f8693,plain,
( ~ element(sK408,the_carrier(sK407))
| empty_carrier(sK407)
| ~ topological_space(sK407)
| element(sK409,powerset(the_carrier(sK407)))
| ~ top_str(sK407)
| ~ spl578_38 ),
inference(resolution,[],[f6173,f3170]) ).
fof(f3170,plain,
! [X2,X0,X1] :
( empty_carrier(X1)
| ~ element(X0,the_carrier(X1))
| ~ point_neighbourhood(X2,X1,X0)
| element(X2,powerset(the_carrier(X1)))
| ~ topological_space(X1)
| ~ top_str(X1) ),
inference(cnf_transformation,[],[f1188]) ).
fof(f1188,plain,
! [X1,X0] :
( ! [X2] :
( element(X2,powerset(the_carrier(X1)))
| ~ point_neighbourhood(X2,X1,X0) )
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X0,the_carrier(X1))
| empty_carrier(X1) ),
inference(flattening,[],[f1187]) ).
fof(f1187,plain,
! [X0,X1] :
( ! [X2] :
( element(X2,powerset(the_carrier(X1)))
| ~ point_neighbourhood(X2,X1,X0) )
| ~ element(X0,the_carrier(X1))
| ~ topological_space(X1)
| empty_carrier(X1)
| ~ top_str(X1) ),
inference(ennf_transformation,[],[f1041]) ).
fof(f1041,plain,
! [X0,X1] :
( ( element(X0,the_carrier(X1))
& topological_space(X1)
& ~ empty_carrier(X1)
& top_str(X1) )
=> ! [X2] :
( point_neighbourhood(X2,X1,X0)
=> element(X2,powerset(the_carrier(X1))) ) ),
inference(rectify,[],[f324]) ).
fof(f324,axiom,
! [X1,X0] :
( ( element(X1,the_carrier(X0))
& topological_space(X0)
& ~ empty_carrier(X0)
& top_str(X0) )
=> ! [X2] :
( point_neighbourhood(X2,X0,X1)
=> element(X2,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_connsp_2) ).
fof(f8690,plain,
( ~ spl578_333
| spl578_37
| ~ spl578_326 ),
inference(avatar_split_clause,[],[f8685,f8616,f6168,f8687]) ).
fof(f8685,plain,
( ~ in(sK409,a_2_0_yellow19(sK407,sK408))
| spl578_37
| ~ spl578_326 ),
inference(backward_demodulation,[],[f6170,f8618]) ).
fof(f6170,plain,
( ~ in(sK409,neighborhood_system(sK407,sK408))
| spl578_37 ),
inference(avatar_component_clause,[],[f6168]) ).
fof(f8684,plain,
( spl578_332
| ~ spl578_327
| ~ spl578_35 ),
inference(avatar_split_clause,[],[f8536,f6128,f8622,f8681]) ).
fof(f8681,plain,
( spl578_332
<=> epsilon_connected(sK408) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_332])]) ).
fof(f8536,plain,
( ~ ordinal(the_carrier(sK407))
| epsilon_connected(sK408)
| ~ spl578_35 ),
inference(resolution,[],[f6130,f2571]) ).
fof(f2571,plain,
! [X0,X1] :
( epsilon_connected(X1)
| ~ ordinal(X0)
| ~ element(X1,X0) ),
inference(cnf_transformation,[],[f1348]) ).
fof(f1348,plain,
! [X0] :
( ~ ordinal(X0)
| ! [X1] :
( ( epsilon_connected(X1)
& epsilon_transitive(X1)
& ordinal(X1) )
| ~ element(X1,X0) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ordinal(X0)
=> ! [X1] :
( element(X1,X0)
=> ( epsilon_connected(X1)
& epsilon_transitive(X1)
& ordinal(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_arytm_3) ).
fof(f8675,plain,
( spl578_331
| spl578_31
| ~ spl578_35
| ~ spl578_39
| ~ spl578_40 ),
inference(avatar_split_clause,[],[f8670,f6189,f6183,f6128,f6071,f8672]) ).
fof(f8672,plain,
( spl578_331
<=> point_neighbourhood(sK182(sK408,sK407),sK407,sK408) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_331])]) ).
fof(f8670,plain,
( point_neighbourhood(sK182(sK408,sK407),sK407,sK408)
| spl578_31
| ~ spl578_35
| ~ spl578_39
| ~ spl578_40 ),
inference(subsumption_resolution,[],[f8669,f6185]) ).
fof(f8669,plain,
( ~ top_str(sK407)
| point_neighbourhood(sK182(sK408,sK407),sK407,sK408)
| spl578_31
| ~ spl578_35
| ~ spl578_40 ),
inference(subsumption_resolution,[],[f8668,f6073]) ).
fof(f8668,plain,
( point_neighbourhood(sK182(sK408,sK407),sK407,sK408)
| empty_carrier(sK407)
| ~ top_str(sK407)
| ~ spl578_35
| ~ spl578_40 ),
inference(subsumption_resolution,[],[f8410,f6191]) ).
fof(f8410,plain,
( point_neighbourhood(sK182(sK408,sK407),sK407,sK408)
| ~ topological_space(sK407)
| empty_carrier(sK407)
| ~ top_str(sK407)
| ~ spl578_35 ),
inference(resolution,[],[f6130,f3157]) ).
fof(f3157,plain,
! [X0,X1] :
( ~ topological_space(X1)
| point_neighbourhood(sK182(X0,X1),X1,X0)
| ~ top_str(X1)
| ~ element(X0,the_carrier(X1))
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f1184]) ).
fof(f1184,plain,
! [X1,X0] :
( ~ topological_space(X1)
| ? [X2] : point_neighbourhood(X2,X1,X0)
| ~ top_str(X1)
| empty_carrier(X1)
| ~ element(X0,the_carrier(X1)) ),
inference(flattening,[],[f1183]) ).
fof(f1183,plain,
! [X1,X0] :
( ? [X2] : point_neighbourhood(X2,X1,X0)
| ~ element(X0,the_carrier(X1))
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1) ),
inference(ennf_transformation,[],[f1040]) ).
fof(f1040,plain,
! [X1,X0] :
( ( element(X0,the_carrier(X1))
& ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1) )
=> ? [X2] : point_neighbourhood(X2,X1,X0) ),
inference(rectify,[],[f344]) ).
fof(f344,axiom,
! [X1,X0] :
( ( element(X1,the_carrier(X0))
& topological_space(X0)
& top_str(X0)
& ~ empty_carrier(X0) )
=> ? [X2] : point_neighbourhood(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_connsp_2) ).
fof(f8666,plain,
( spl578_330
| ~ spl578_327
| ~ spl578_35 ),
inference(avatar_split_clause,[],[f8534,f6128,f8622,f8663]) ).
fof(f8663,plain,
( spl578_330
<=> ordinal(sK408) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_330])]) ).
fof(f8534,plain,
( ~ ordinal(the_carrier(sK407))
| ordinal(sK408)
| ~ spl578_35 ),
inference(resolution,[],[f6130,f2569]) ).
fof(f2569,plain,
! [X0,X1] :
( ~ ordinal(X0)
| ordinal(X1)
| ~ element(X1,X0) ),
inference(cnf_transformation,[],[f1348]) ).
fof(f8658,plain,
( spl578_329
| ~ spl578_35
| ~ spl578_47 ),
inference(avatar_split_clause,[],[f8653,f6693,f6128,f8655]) ).
fof(f8653,plain,
( element(sK408,cast_as_carrier_subset(sK407))
| ~ spl578_35
| ~ spl578_47 ),
inference(subsumption_resolution,[],[f8552,f6694]) ).
fof(f8552,plain,
( ~ one_sorted_str(sK407)
| element(sK408,cast_as_carrier_subset(sK407))
| ~ spl578_35 ),
inference(superposition,[],[f6130,f3169]) ).
fof(f8633,plain,
( spl578_323
| ~ spl578_35
| spl578_261 ),
inference(avatar_split_clause,[],[f8632,f7742,f6128,f8563]) ).
fof(f7742,plain,
( spl578_261
<=> empty(the_carrier(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_261])]) ).
fof(f8632,plain,
( in(sK408,the_carrier(sK407))
| ~ spl578_35
| spl578_261 ),
inference(subsumption_resolution,[],[f8545,f7744]) ).
fof(f7744,plain,
( ~ empty(the_carrier(sK407))
| spl578_261 ),
inference(avatar_component_clause,[],[f7742]) ).
fof(f8545,plain,
( in(sK408,the_carrier(sK407))
| empty(the_carrier(sK407))
| ~ spl578_35 ),
inference(resolution,[],[f6130,f4094]) ).
fof(f4094,plain,
! [X0,X1] :
( in(X1,X0)
| empty(X0)
| ~ element(X1,X0) ),
inference(cnf_transformation,[],[f1181]) ).
fof(f8629,plain,
( ~ spl578_327
| spl578_328
| ~ spl578_35 ),
inference(avatar_split_clause,[],[f8535,f6128,f8626,f8622]) ).
fof(f8626,plain,
( spl578_328
<=> epsilon_transitive(sK408) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_328])]) ).
fof(f8535,plain,
( epsilon_transitive(sK408)
| ~ ordinal(the_carrier(sK407))
| ~ spl578_35 ),
inference(resolution,[],[f6130,f2570]) ).
fof(f2570,plain,
! [X0,X1] :
( epsilon_transitive(X1)
| ~ ordinal(X0)
| ~ element(X1,X0) ),
inference(cnf_transformation,[],[f1348]) ).
fof(f8619,plain,
( spl578_326
| spl578_31
| ~ spl578_35
| ~ spl578_39
| ~ spl578_40 ),
inference(avatar_split_clause,[],[f8614,f6189,f6183,f6128,f6071,f8616]) ).
fof(f8614,plain,
( neighborhood_system(sK407,sK408) = a_2_0_yellow19(sK407,sK408)
| spl578_31
| ~ spl578_35
| ~ spl578_39
| ~ spl578_40 ),
inference(subsumption_resolution,[],[f8613,f6073]) ).
fof(f8613,plain,
( neighborhood_system(sK407,sK408) = a_2_0_yellow19(sK407,sK408)
| empty_carrier(sK407)
| ~ spl578_35
| ~ spl578_39
| ~ spl578_40 ),
inference(subsumption_resolution,[],[f8612,f6191]) ).
fof(f8612,plain,
( ~ topological_space(sK407)
| empty_carrier(sK407)
| neighborhood_system(sK407,sK408) = a_2_0_yellow19(sK407,sK408)
| ~ spl578_35
| ~ spl578_39 ),
inference(subsumption_resolution,[],[f8348,f6185]) ).
fof(f8348,plain,
( ~ top_str(sK407)
| neighborhood_system(sK407,sK408) = a_2_0_yellow19(sK407,sK408)
| ~ topological_space(sK407)
| empty_carrier(sK407)
| ~ spl578_35 ),
inference(resolution,[],[f6130,f2563]) ).
fof(f2563,plain,
! [X0,X1] :
( empty_carrier(X0)
| ~ element(X1,the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| neighborhood_system(X0,X1) = a_2_0_yellow19(X0,X1) ),
inference(cnf_transformation,[],[f1407]) ).
fof(f1407,plain,
! [X0] :
( ~ top_str(X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ! [X1] :
( ~ element(X1,the_carrier(X0))
| neighborhood_system(X0,X1) = a_2_0_yellow19(X0,X1) ) ),
inference(flattening,[],[f1406]) ).
fof(f1406,plain,
! [X0] :
( ! [X1] :
( ~ element(X1,the_carrier(X0))
| neighborhood_system(X0,X1) = a_2_0_yellow19(X0,X1) )
| ~ topological_space(X0)
| empty_carrier(X0)
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f146]) ).
fof(f146,axiom,
! [X0] :
( ( topological_space(X0)
& ~ empty_carrier(X0)
& top_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> neighborhood_system(X0,X1) = a_2_0_yellow19(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_yellow19) ).
fof(f8600,plain,
( spl578_324
| spl578_325
| ~ spl578_35 ),
inference(avatar_split_clause,[],[f8544,f6128,f8597,f8593]) ).
fof(f8544,plain,
( proper_element(sK408,the_carrier(sK407))
| sK408 = union(the_carrier(sK407))
| ~ spl578_35 ),
inference(resolution,[],[f6130,f3952]) ).
fof(f3952,plain,
! [X0,X1] :
( union(X1) = X0
| proper_element(X0,X1)
| ~ element(X0,X1) ),
inference(cnf_transformation,[],[f1421]) ).
fof(f1421,plain,
! [X0,X1] :
( ( proper_element(X0,X1)
<=> union(X1) != X0 )
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f1046]) ).
fof(f1046,plain,
! [X1,X0] :
( element(X0,X1)
=> ( proper_element(X0,X1)
<=> union(X1) != X0 ) ),
inference(rectify,[],[f161]) ).
fof(f161,axiom,
! [X1,X0] :
( element(X1,X0)
=> ( union(X0) != X1
<=> proper_element(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_tex_2) ).
fof(f8566,plain,
( spl578_323
| ~ spl578_35
| spl578_261 ),
inference(avatar_split_clause,[],[f8561,f7742,f6128,f8563]) ).
fof(f8561,plain,
( in(sK408,the_carrier(sK407))
| ~ spl578_35
| spl578_261 ),
inference(subsumption_resolution,[],[f8533,f7744]) ).
fof(f8533,plain,
( in(sK408,the_carrier(sK407))
| empty(the_carrier(sK407))
| ~ spl578_35 ),
inference(resolution,[],[f6130,f2419]) ).
fof(f2419,plain,
! [X0,X1] :
( in(X0,X1)
| ~ element(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f1204]) ).
fof(f1204,plain,
! [X1,X0] :
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(flattening,[],[f1203]) ).
fof(f1203,plain,
! [X1,X0] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f751]) ).
fof(f751,axiom,
! [X1,X0] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f8254,plain,
( spl578_322
| ~ spl578_39
| ~ spl578_40 ),
inference(avatar_split_clause,[],[f8198,f6189,f6183,f8251]) ).
fof(f8198,plain,
( element(sK399(sK407),powerset(the_carrier(sK407)))
| ~ spl578_39
| ~ spl578_40 ),
inference(subsumption_resolution,[],[f8026,f6191]) ).
fof(f8026,plain,
( element(sK399(sK407),powerset(the_carrier(sK407)))
| ~ topological_space(sK407)
| ~ spl578_39 ),
inference(resolution,[],[f6185,f4271]) ).
fof(f4271,plain,
! [X0] :
( ~ topological_space(X0)
| element(sK399(X0),powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f1788]) ).
fof(f1788,plain,
! [X0] :
( ? [X1] :
( element(X1,powerset(the_carrier(X0)))
& open_subset(X1,X0) )
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(flattening,[],[f1787]) ).
fof(f1787,plain,
! [X0] :
( ? [X1] :
( element(X1,powerset(the_carrier(X0)))
& open_subset(X1,X0) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(ennf_transformation,[],[f514]) ).
fof(f514,axiom,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ? [X1] :
( element(X1,powerset(the_carrier(X0)))
& open_subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_tops_1) ).
fof(f8249,plain,
( spl578_321
| spl578_306
| ~ spl578_39 ),
inference(avatar_split_clause,[],[f8027,f6183,f8090,f8247]) ).
fof(f8247,plain,
( spl578_321
<=> ! [X76] :
( ~ element(X76,powerset(powerset(the_carrier(sK407))))
| ~ is_a_cover_of_carrier(sK407,X76)
| ~ finite(X76)
| ~ subset(X76,sK413(sK407)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_321])]) ).
fof(f8090,plain,
( spl578_306
<=> compact_top_space(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_306])]) ).
fof(f8027,plain,
( ! [X76] :
( compact_top_space(sK407)
| ~ element(X76,powerset(powerset(the_carrier(sK407))))
| ~ subset(X76,sK413(sK407))
| ~ finite(X76)
| ~ is_a_cover_of_carrier(sK407,X76) )
| ~ spl578_39 ),
inference(resolution,[],[f6185,f4329]) ).
fof(f4329,plain,
! [X2,X0] :
( ~ finite(X2)
| ~ subset(X2,sK413(X0))
| ~ top_str(X0)
| ~ element(X2,powerset(powerset(the_carrier(X0))))
| ~ is_a_cover_of_carrier(X0,X2)
| compact_top_space(X0) ),
inference(cnf_transformation,[],[f1303]) ).
fof(f1303,plain,
! [X0] :
( ( compact_top_space(X0)
<=> ! [X1] :
( ? [X2] :
( subset(X2,X1)
& element(X2,powerset(powerset(the_carrier(X0))))
& is_a_cover_of_carrier(X0,X2)
& finite(X2) )
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ open_subsets(X1,X0)
| ~ is_a_cover_of_carrier(X0,X1) ) )
| ~ top_str(X0) ),
inference(flattening,[],[f1302]) ).
fof(f1302,plain,
! [X0] :
( ( ! [X1] :
( ~ open_subsets(X1,X0)
| ? [X2] :
( finite(X2)
& subset(X2,X1)
& is_a_cover_of_carrier(X0,X2)
& element(X2,powerset(powerset(the_carrier(X0)))) )
| ~ is_a_cover_of_carrier(X0,X1)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) )
<=> compact_top_space(X0) )
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f168]) ).
fof(f168,axiom,
! [X0] :
( top_str(X0)
=> ( ! [X1] :
( element(X1,powerset(powerset(the_carrier(X0))))
=> ~ ( open_subsets(X1,X0)
& ! [X2] :
( element(X2,powerset(powerset(the_carrier(X0))))
=> ~ ( finite(X2)
& subset(X2,X1)
& is_a_cover_of_carrier(X0,X2) ) )
& is_a_cover_of_carrier(X0,X1) ) )
<=> compact_top_space(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_compts_1) ).
fof(f8241,plain,
( spl578_320
| ~ spl578_39
| ~ spl578_40 ),
inference(avatar_split_clause,[],[f8193,f6189,f6183,f8238]) ).
fof(f8193,plain,
( element(sK547(sK407),powerset(the_carrier(sK407)))
| ~ spl578_39
| ~ spl578_40 ),
inference(subsumption_resolution,[],[f8063,f6191]) ).
fof(f8063,plain,
( ~ topological_space(sK407)
| element(sK547(sK407),powerset(the_carrier(sK407)))
| ~ spl578_39 ),
inference(resolution,[],[f6185,f5043]) ).
fof(f5043,plain,
! [X0] :
( ~ topological_space(X0)
| element(sK547(X0),powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f2188]) ).
fof(f2188,plain,
! [X0] :
( ~ top_str(X0)
| ? [X1] :
( closed_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
| ~ topological_space(X0) ),
inference(flattening,[],[f2187]) ).
fof(f2187,plain,
! [X0] :
( ? [X1] :
( closed_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(ennf_transformation,[],[f558]) ).
fof(f558,axiom,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ? [X1] :
( closed_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc6_pre_topc) ).
fof(f8226,plain,
( spl578_47
| ~ spl578_39 ),
inference(avatar_split_clause,[],[f8010,f6183,f6693]) ).
fof(f8010,plain,
( one_sorted_str(sK407)
| ~ spl578_39 ),
inference(resolution,[],[f6185,f3510]) ).
fof(f3510,plain,
! [X0] :
( one_sorted_str(X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f2201]) ).
fof(f2201,plain,
! [X0] :
( one_sorted_str(X0)
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f319]) ).
fof(f319,axiom,
! [X0] :
( top_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f8225,plain,
( spl578_306
| spl578_319
| ~ spl578_39 ),
inference(avatar_split_clause,[],[f8032,f6183,f8222,f8090]) ).
fof(f8222,plain,
( spl578_319
<=> is_a_cover_of_carrier(sK407,sK413(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_319])]) ).
fof(f8032,plain,
( is_a_cover_of_carrier(sK407,sK413(sK407))
| compact_top_space(sK407)
| ~ spl578_39 ),
inference(resolution,[],[f6185,f4334]) ).
fof(f4334,plain,
! [X0] :
( compact_top_space(X0)
| is_a_cover_of_carrier(X0,sK413(X0))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f1303]) ).
fof(f8220,plain,
( ~ spl578_306
| spl578_318
| ~ spl578_39 ),
inference(avatar_split_clause,[],[f8031,f6183,f8218,f8090]) ).
fof(f8218,plain,
( spl578_318
<=> ! [X80] :
( ~ open_subsets(X80,sK407)
| subset(sK414(sK407,X80),X80)
| ~ element(X80,powerset(powerset(the_carrier(sK407))))
| ~ is_a_cover_of_carrier(sK407,X80) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_318])]) ).
fof(f8031,plain,
( ! [X80] :
( ~ open_subsets(X80,sK407)
| ~ is_a_cover_of_carrier(sK407,X80)
| ~ element(X80,powerset(powerset(the_carrier(sK407))))
| subset(sK414(sK407,X80),X80)
| ~ compact_top_space(sK407) )
| ~ spl578_39 ),
inference(resolution,[],[f6185,f4333]) ).
fof(f4333,plain,
! [X0,X1] :
( ~ is_a_cover_of_carrier(X0,X1)
| ~ top_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ compact_top_space(X0)
| subset(sK414(X0,X1),X1)
| ~ open_subsets(X1,X0) ),
inference(cnf_transformation,[],[f1303]) ).
fof(f8216,plain,
( ~ spl578_306
| spl578_317
| ~ spl578_39 ),
inference(avatar_split_clause,[],[f8030,f6183,f8214,f8090]) ).
fof(f8214,plain,
( spl578_317
<=> ! [X79] :
( ~ element(X79,powerset(powerset(the_carrier(sK407))))
| ~ open_subsets(X79,sK407)
| ~ is_a_cover_of_carrier(sK407,X79)
| element(sK414(sK407,X79),powerset(powerset(the_carrier(sK407)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_317])]) ).
fof(f8030,plain,
( ! [X79] :
( ~ element(X79,powerset(powerset(the_carrier(sK407))))
| element(sK414(sK407,X79),powerset(powerset(the_carrier(sK407))))
| ~ compact_top_space(sK407)
| ~ is_a_cover_of_carrier(sK407,X79)
| ~ open_subsets(X79,sK407) )
| ~ spl578_39 ),
inference(resolution,[],[f6185,f4332]) ).
fof(f4332,plain,
! [X0,X1] :
( ~ is_a_cover_of_carrier(X0,X1)
| ~ compact_top_space(X0)
| ~ open_subsets(X1,X0)
| element(sK414(X0,X1),powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(cnf_transformation,[],[f1303]) ).
fof(f8210,plain,
( spl578_316
| ~ spl578_39
| ~ spl578_40 ),
inference(avatar_split_clause,[],[f8183,f6189,f6183,f8207]) ).
fof(f8207,plain,
( spl578_316
<=> open_subset(sK107(sK407),sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_316])]) ).
fof(f8183,plain,
( open_subset(sK107(sK407),sK407)
| ~ spl578_39
| ~ spl578_40 ),
inference(subsumption_resolution,[],[f7987,f6191]) ).
fof(f7987,plain,
( open_subset(sK107(sK407),sK407)
| ~ topological_space(sK407)
| ~ spl578_39 ),
inference(resolution,[],[f6185,f2784]) ).
fof(f2784,plain,
! [X0] :
( open_subset(sK107(X0),X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f1873]) ).
fof(f1873,plain,
! [X0] :
( ? [X1] :
( closed_subset(X1,X0)
& element(X1,powerset(the_carrier(X0)))
& open_subset(X1,X0) )
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(flattening,[],[f1872]) ).
fof(f1872,plain,
! [X0] :
( ? [X1] :
( closed_subset(X1,X0)
& element(X1,powerset(the_carrier(X0)))
& open_subset(X1,X0) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(ennf_transformation,[],[f532]) ).
fof(f532,axiom,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ? [X1] :
( closed_subset(X1,X0)
& element(X1,powerset(the_carrier(X0)))
& open_subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_tops_1) ).
fof(f8164,plain,
( ~ spl578_39
| spl578_47 ),
inference(avatar_contradiction_clause,[],[f8163]) ).
fof(f8163,plain,
( $false
| ~ spl578_39
| spl578_47 ),
inference(subsumption_resolution,[],[f8010,f6695]) ).
fof(f6695,plain,
( ~ one_sorted_str(sK407)
| spl578_47 ),
inference(avatar_component_clause,[],[f6693]) ).
fof(f8160,plain,
( spl578_315
| ~ spl578_39
| ~ spl578_40 ),
inference(avatar_split_clause,[],[f8155,f6189,f6183,f8157]) ).
fof(f8155,plain,
( element(sK107(sK407),powerset(the_carrier(sK407)))
| ~ spl578_39
| ~ spl578_40 ),
inference(subsumption_resolution,[],[f7988,f6191]) ).
fof(f7988,plain,
( element(sK107(sK407),powerset(the_carrier(sK407)))
| ~ topological_space(sK407)
| ~ spl578_39 ),
inference(resolution,[],[f6185,f2785]) ).
fof(f2785,plain,
! [X0] :
( ~ topological_space(X0)
| ~ top_str(X0)
| element(sK107(X0),powerset(the_carrier(X0))) ),
inference(cnf_transformation,[],[f1873]) ).
fof(f8151,plain,
( spl578_314
| ~ spl578_39
| ~ spl578_40 ),
inference(avatar_split_clause,[],[f8146,f6189,f6183,f8148]) ).
fof(f8148,plain,
( spl578_314
<=> closed_subset(cast_as_carrier_subset(sK407),sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_314])]) ).
fof(f8146,plain,
( closed_subset(cast_as_carrier_subset(sK407),sK407)
| ~ spl578_39
| ~ spl578_40 ),
inference(subsumption_resolution,[],[f8039,f6191]) ).
fof(f8039,plain,
( closed_subset(cast_as_carrier_subset(sK407),sK407)
| ~ topological_space(sK407)
| ~ spl578_39 ),
inference(resolution,[],[f6185,f4460]) ).
fof(f4460,plain,
! [X0] :
( ~ topological_space(X0)
| ~ top_str(X0)
| closed_subset(cast_as_carrier_subset(X0),X0) ),
inference(cnf_transformation,[],[f1910]) ).
fof(f1910,plain,
! [X0] :
( ~ top_str(X0)
| ( closed_subset(cast_as_carrier_subset(X0),X0)
& open_subset(cast_as_carrier_subset(X0),X0) )
| ~ topological_space(X0) ),
inference(flattening,[],[f1909]) ).
fof(f1909,plain,
! [X0] :
( ( closed_subset(cast_as_carrier_subset(X0),X0)
& open_subset(cast_as_carrier_subset(X0),X0) )
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f450]) ).
fof(f450,axiom,
! [X0] :
( ( topological_space(X0)
& top_str(X0) )
=> ( closed_subset(cast_as_carrier_subset(X0),X0)
& open_subset(cast_as_carrier_subset(X0),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc8_tops_1) ).
fof(f8143,plain,
( spl578_306
| spl578_313
| ~ spl578_39 ),
inference(avatar_split_clause,[],[f8033,f6183,f8140,f8090]) ).
fof(f8140,plain,
( spl578_313
<=> open_subsets(sK413(sK407),sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_313])]) ).
fof(f8033,plain,
( open_subsets(sK413(sK407),sK407)
| compact_top_space(sK407)
| ~ spl578_39 ),
inference(resolution,[],[f6185,f4335]) ).
fof(f4335,plain,
! [X0] :
( open_subsets(sK413(X0),X0)
| compact_top_space(X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f1303]) ).
fof(f8138,plain,
( ~ spl578_306
| spl578_312
| ~ spl578_39 ),
inference(avatar_split_clause,[],[f8028,f6183,f8136,f8090]) ).
fof(f8136,plain,
( spl578_312
<=> ! [X77] :
( finite(sK414(sK407,X77))
| ~ open_subsets(X77,sK407)
| ~ is_a_cover_of_carrier(sK407,X77)
| ~ element(X77,powerset(powerset(the_carrier(sK407)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_312])]) ).
fof(f8028,plain,
( ! [X77] :
( finite(sK414(sK407,X77))
| ~ element(X77,powerset(powerset(the_carrier(sK407))))
| ~ compact_top_space(sK407)
| ~ is_a_cover_of_carrier(sK407,X77)
| ~ open_subsets(X77,sK407) )
| ~ spl578_39 ),
inference(resolution,[],[f6185,f4330]) ).
fof(f4330,plain,
! [X0,X1] :
( ~ compact_top_space(X0)
| ~ top_str(X0)
| ~ open_subsets(X1,X0)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ is_a_cover_of_carrier(X0,X1)
| finite(sK414(X0,X1)) ),
inference(cnf_transformation,[],[f1303]) ).
fof(f8134,plain,
( spl578_311
| spl578_306
| ~ spl578_39 ),
inference(avatar_split_clause,[],[f8034,f6183,f8090,f8131]) ).
fof(f8131,plain,
( spl578_311
<=> element(sK413(sK407),powerset(powerset(the_carrier(sK407)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_311])]) ).
fof(f8034,plain,
( compact_top_space(sK407)
| element(sK413(sK407),powerset(powerset(the_carrier(sK407))))
| ~ spl578_39 ),
inference(resolution,[],[f6185,f4336]) ).
fof(f4336,plain,
! [X0] :
( ~ top_str(X0)
| element(sK413(X0),powerset(powerset(the_carrier(X0))))
| compact_top_space(X0) ),
inference(cnf_transformation,[],[f1303]) ).
fof(f8125,plain,
( spl578_310
| ~ spl578_39
| ~ spl578_40 ),
inference(avatar_split_clause,[],[f8120,f6189,f6183,f8122]) ).
fof(f8122,plain,
( spl578_310
<=> open_subset(sK399(sK407),sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_310])]) ).
fof(f8120,plain,
( open_subset(sK399(sK407),sK407)
| ~ spl578_39
| ~ spl578_40 ),
inference(subsumption_resolution,[],[f8025,f6191]) ).
fof(f8025,plain,
( ~ topological_space(sK407)
| open_subset(sK399(sK407),sK407)
| ~ spl578_39 ),
inference(resolution,[],[f6185,f4270]) ).
fof(f4270,plain,
! [X0] :
( ~ topological_space(X0)
| open_subset(sK399(X0),X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f1788]) ).
fof(f8117,plain,
( spl578_309
| ~ spl578_39
| ~ spl578_40 ),
inference(avatar_split_clause,[],[f8112,f6189,f6183,f8114]) ).
fof(f8114,plain,
( spl578_309
<=> closed_subset(sK107(sK407),sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_309])]) ).
fof(f8112,plain,
( closed_subset(sK107(sK407),sK407)
| ~ spl578_39
| ~ spl578_40 ),
inference(subsumption_resolution,[],[f7989,f6191]) ).
fof(f7989,plain,
( ~ topological_space(sK407)
| closed_subset(sK107(sK407),sK407)
| ~ spl578_39 ),
inference(resolution,[],[f6185,f2786]) ).
fof(f2786,plain,
! [X0] :
( ~ top_str(X0)
| ~ topological_space(X0)
| closed_subset(sK107(X0),X0) ),
inference(cnf_transformation,[],[f1873]) ).
fof(f8103,plain,
( spl578_308
| ~ spl578_39
| ~ spl578_40 ),
inference(avatar_split_clause,[],[f8098,f6189,f6183,f8100]) ).
fof(f8100,plain,
( spl578_308
<=> open_subset(cast_as_carrier_subset(sK407),sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_308])]) ).
fof(f8098,plain,
( open_subset(cast_as_carrier_subset(sK407),sK407)
| ~ spl578_39
| ~ spl578_40 ),
inference(subsumption_resolution,[],[f8038,f6191]) ).
fof(f8038,plain,
( open_subset(cast_as_carrier_subset(sK407),sK407)
| ~ topological_space(sK407)
| ~ spl578_39 ),
inference(resolution,[],[f6185,f4459]) ).
fof(f4459,plain,
! [X0] :
( ~ top_str(X0)
| ~ topological_space(X0)
| open_subset(cast_as_carrier_subset(X0),X0) ),
inference(cnf_transformation,[],[f1910]) ).
fof(f8096,plain,
( ~ spl578_306
| spl578_307
| ~ spl578_39 ),
inference(avatar_split_clause,[],[f8029,f6183,f8094,f8090]) ).
fof(f8094,plain,
( spl578_307
<=> ! [X78] :
( ~ is_a_cover_of_carrier(sK407,X78)
| ~ element(X78,powerset(powerset(the_carrier(sK407))))
| is_a_cover_of_carrier(sK407,sK414(sK407,X78))
| ~ open_subsets(X78,sK407) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_307])]) ).
fof(f8029,plain,
( ! [X78] :
( ~ is_a_cover_of_carrier(sK407,X78)
| ~ open_subsets(X78,sK407)
| ~ compact_top_space(sK407)
| is_a_cover_of_carrier(sK407,sK414(sK407,X78))
| ~ element(X78,powerset(powerset(the_carrier(sK407)))) )
| ~ spl578_39 ),
inference(resolution,[],[f6185,f4331]) ).
fof(f4331,plain,
! [X0,X1] :
( ~ is_a_cover_of_carrier(X0,X1)
| ~ open_subsets(X1,X0)
| ~ compact_top_space(X0)
| ~ top_str(X0)
| is_a_cover_of_carrier(X0,sK414(X0,X1))
| ~ element(X1,powerset(powerset(the_carrier(X0)))) ),
inference(cnf_transformation,[],[f1303]) ).
fof(f8087,plain,
( spl578_305
| ~ spl578_39
| ~ spl578_40 ),
inference(avatar_split_clause,[],[f8082,f6189,f6183,f8084]) ).
fof(f8084,plain,
( spl578_305
<=> closed_subset(sK547(sK407),sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_305])]) ).
fof(f8082,plain,
( closed_subset(sK547(sK407),sK407)
| ~ spl578_39
| ~ spl578_40 ),
inference(subsumption_resolution,[],[f8064,f6191]) ).
fof(f8064,plain,
( ~ topological_space(sK407)
| closed_subset(sK547(sK407),sK407)
| ~ spl578_39 ),
inference(resolution,[],[f6185,f5044]) ).
fof(f5044,plain,
! [X0] :
( ~ top_str(X0)
| closed_subset(sK547(X0),X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f2188]) ).
fof(f7967,plain,
( ~ spl578_43
| ~ spl578_45
| ~ spl578_83
| spl578_156
| spl578_31 ),
inference(avatar_split_clause,[],[f6632,f6071,f7206,f6846,f6684,f6676]) ).
fof(f6676,plain,
( spl578_43
<=> latt_str(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_43])]) ).
fof(f6684,plain,
( spl578_45
<=> lattice(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_45])]) ).
fof(f6846,plain,
( spl578_83
<=> upper_bounded_semilattstr(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_83])]) ).
fof(f7206,plain,
( spl578_156
<=> with_suprema_relstr(poset_of_lattice(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_156])]) ).
fof(f6632,plain,
( with_suprema_relstr(poset_of_lattice(sK407))
| ~ upper_bounded_semilattstr(sK407)
| ~ lattice(sK407)
| ~ latt_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f5072]) ).
fof(f5072,plain,
! [X0] :
( empty_carrier(X0)
| with_suprema_relstr(poset_of_lattice(X0))
| ~ latt_str(X0)
| ~ upper_bounded_semilattstr(X0)
| ~ lattice(X0) ),
inference(cnf_transformation,[],[f1481]) ).
fof(f1481,plain,
! [X0] :
( empty_carrier(X0)
| ~ upper_bounded_semilattstr(X0)
| ( ~ empty_carrier(poset_of_lattice(X0))
& with_suprema_relstr(poset_of_lattice(X0))
& reflexive_relstr(poset_of_lattice(X0))
& with_infima_relstr(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0))
& upper_bounded_relstr(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0)) )
| ~ latt_str(X0)
| ~ lattice(X0) ),
inference(flattening,[],[f1480]) ).
fof(f1480,plain,
! [X0] :
( ( ~ empty_carrier(poset_of_lattice(X0))
& with_suprema_relstr(poset_of_lattice(X0))
& reflexive_relstr(poset_of_lattice(X0))
& with_infima_relstr(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0))
& upper_bounded_relstr(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0)) )
| ~ upper_bounded_semilattstr(X0)
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ lattice(X0) ),
inference(ennf_transformation,[],[f402]) ).
fof(f402,axiom,
! [X0] :
( ( upper_bounded_semilattstr(X0)
& latt_str(X0)
& ~ empty_carrier(X0)
& lattice(X0) )
=> ( ~ empty_carrier(poset_of_lattice(X0))
& with_suprema_relstr(poset_of_lattice(X0))
& reflexive_relstr(poset_of_lattice(X0))
& with_infima_relstr(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0))
& upper_bounded_relstr(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_yellow_1) ).
fof(f7966,plain,
( ~ spl578_47
| spl578_304
| spl578_31 ),
inference(avatar_split_clause,[],[f6486,f6071,f7964,f6693]) ).
fof(f7964,plain,
( spl578_304
<=> ! [X331,X330] :
( ~ net_str(X331,sK407)
| function(sK322(sK407,X331,X330))
| empty_carrier(X330)
| ~ net_str(X330,sK407)
| ~ transitive_relstr(X330)
| ~ directed_relstr(X331)
| ~ transitive_relstr(X331)
| ~ directed_relstr(X330)
| ~ subnet(X330,sK407,X331)
| empty_carrier(X331) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_304])]) ).
fof(f6486,plain,
( ! [X331,X330] :
( ~ net_str(X331,sK407)
| empty_carrier(X331)
| ~ directed_relstr(X330)
| ~ subnet(X330,sK407,X331)
| ~ transitive_relstr(X331)
| ~ one_sorted_str(sK407)
| ~ directed_relstr(X331)
| ~ transitive_relstr(X330)
| ~ net_str(X330,sK407)
| empty_carrier(X330)
| function(sK322(sK407,X331,X330)) )
| spl578_31 ),
inference(resolution,[],[f6073,f3855]) ).
fof(f3855,plain,
! [X2,X0,X1] :
( ~ transitive_relstr(X2)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| function(sK322(X0,X1,X2))
| ~ transitive_relstr(X1)
| ~ net_str(X2,X0)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ directed_relstr(X2)
| empty_carrier(X0)
| ~ subnet(X2,X0,X1) ),
inference(cnf_transformation,[],[f1785]) ).
fof(f1785,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ transitive_relstr(X2)
| ~ net_str(X2,X0)
| ( subnet(X2,X0,X1)
<=> ? [X3] :
( function(X3)
& the_mapping(X0,X2) = function_of_composition(the_carrier(X2),the_carrier(X1),the_carrier(X0),X3,the_mapping(X0,X1))
& relation_of2_as_subset(X3,the_carrier(X2),the_carrier(X1))
& ! [X4] :
( ~ element(X4,the_carrier(X1))
| ? [X5] :
( element(X5,the_carrier(X2))
& ! [X6] :
( ~ related(X2,X5,X6)
| related(X1,X4,apply_on_set_and_struct(the_carrier(X2),X1,X3,X6))
| ~ element(X6,the_carrier(X2)) ) ) )
& quasi_total(X3,the_carrier(X2),the_carrier(X1)) ) )
| empty_carrier(X2)
| ~ directed_relstr(X2) )
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f1784]) ).
fof(f1784,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( subnet(X2,X0,X1)
<=> ? [X3] :
( function(X3)
& relation_of2_as_subset(X3,the_carrier(X2),the_carrier(X1))
& quasi_total(X3,the_carrier(X2),the_carrier(X1))
& ! [X4] :
( ? [X5] :
( ! [X6] :
( related(X1,X4,apply_on_set_and_struct(the_carrier(X2),X1,X3,X6))
| ~ related(X2,X5,X6)
| ~ element(X6,the_carrier(X2)) )
& element(X5,the_carrier(X2)) )
| ~ element(X4,the_carrier(X1)) )
& the_mapping(X0,X2) = function_of_composition(the_carrier(X2),the_carrier(X1),the_carrier(X0),X3,the_mapping(X0,X1)) ) )
| ~ net_str(X2,X0)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| empty_carrier(X2) )
| ~ directed_relstr(X1)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ transitive_relstr(X1) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f108]) ).
fof(f108,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( directed_relstr(X1)
& ~ empty_carrier(X1)
& net_str(X1,X0)
& transitive_relstr(X1) )
=> ! [X2] :
( ( net_str(X2,X0)
& directed_relstr(X2)
& transitive_relstr(X2)
& ~ empty_carrier(X2) )
=> ( subnet(X2,X0,X1)
<=> ? [X3] :
( function(X3)
& relation_of2_as_subset(X3,the_carrier(X2),the_carrier(X1))
& quasi_total(X3,the_carrier(X2),the_carrier(X1))
& ! [X4] :
( element(X4,the_carrier(X1))
=> ? [X5] :
( ! [X6] :
( element(X6,the_carrier(X2))
=> ( related(X2,X5,X6)
=> related(X1,X4,apply_on_set_and_struct(the_carrier(X2),X1,X3,X6)) ) )
& element(X5,the_carrier(X2)) ) )
& the_mapping(X0,X2) = function_of_composition(the_carrier(X2),the_carrier(X1),the_carrier(X0),X3,the_mapping(X0,X1)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12_yellow_6) ).
fof(f7962,plain,
( spl578_303
| ~ spl578_47
| spl578_31 ),
inference(avatar_split_clause,[],[f6643,f6071,f6693,f7960]) ).
fof(f7960,plain,
( spl578_303
<=> ! [X456,X457] :
( empty_carrier(X456)
| element(sK573(sK407,X456,X457),the_carrier(X456))
| ~ net_str(X456,sK407)
| is_often_in(sK407,X456,X457) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_303])]) ).
fof(f6643,plain,
( ! [X457,X456] :
( ~ one_sorted_str(sK407)
| empty_carrier(X456)
| is_often_in(sK407,X456,X457)
| ~ net_str(X456,sK407)
| element(sK573(sK407,X456,X457),the_carrier(X456)) )
| spl578_31 ),
inference(resolution,[],[f6073,f5167]) ).
fof(f5167,plain,
! [X2,X0,X1] :
( is_often_in(X0,X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| element(sK573(X0,X1,X2),the_carrier(X1))
| ~ net_str(X1,X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1456]) ).
fof(f1456,plain,
! [X0] :
( ~ one_sorted_str(X0)
| ! [X1] :
( ! [X2] :
( ! [X3] :
( ~ element(X3,the_carrier(X1))
| ? [X4] :
( in(apply_netmap(X0,X1,X4),X2)
& related(X1,X3,X4)
& element(X4,the_carrier(X1)) ) )
<=> is_often_in(X0,X1,X2) )
| ~ net_str(X1,X0)
| empty_carrier(X1) )
| empty_carrier(X0) ),
inference(flattening,[],[f1455]) ).
fof(f1455,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ~ element(X3,the_carrier(X1))
| ? [X4] :
( in(apply_netmap(X0,X1,X4),X2)
& related(X1,X3,X4)
& element(X4,the_carrier(X1)) ) )
<=> is_often_in(X0,X1,X2) )
| empty_carrier(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f107]) ).
fof(f107,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ! [X1] :
( ( ~ empty_carrier(X1)
& net_str(X1,X0) )
=> ! [X2] :
( is_often_in(X0,X1,X2)
<=> ! [X3] :
( element(X3,the_carrier(X1))
=> ? [X4] :
( in(apply_netmap(X0,X1,X4),X2)
& related(X1,X3,X4)
& element(X4,the_carrier(X1)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12_waybel_0) ).
fof(f7958,plain,
( ~ spl578_47
| spl578_302
| spl578_31 ),
inference(avatar_split_clause,[],[f6424,f6071,f7956,f6693]) ).
fof(f7956,plain,
( spl578_302
<=> ! [X226,X227] :
( ~ directed_relstr(X226)
| empty_carrier(X226)
| ~ empty_carrier(netstr_restr_to_element(sK407,X226,X227))
| ~ element(X227,the_carrier(X226))
| ~ net_str(X226,sK407) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_302])]) ).
fof(f6424,plain,
( ! [X226,X227] :
( ~ directed_relstr(X226)
| ~ net_str(X226,sK407)
| ~ element(X227,the_carrier(X226))
| ~ empty_carrier(netstr_restr_to_element(sK407,X226,X227))
| empty_carrier(X226)
| ~ one_sorted_str(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f3700]) ).
fof(f3700,plain,
! [X2,X0,X1] :
( ~ empty_carrier(netstr_restr_to_element(X1,X2,X0))
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1)
| ~ element(X0,the_carrier(X2))
| ~ directed_relstr(X2)
| empty_carrier(X1)
| empty_carrier(X2) ),
inference(cnf_transformation,[],[f1942]) ).
fof(f1942,plain,
! [X0,X1,X2] :
( ( strict_net_str(netstr_restr_to_element(X1,X2,X0),X1)
& ~ empty_carrier(netstr_restr_to_element(X1,X2,X0)) )
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ element(X0,the_carrier(X2))
| empty_carrier(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1) ),
inference(flattening,[],[f1941]) ).
fof(f1941,plain,
! [X2,X0,X1] :
( ( strict_net_str(netstr_restr_to_element(X1,X2,X0),X1)
& ~ empty_carrier(netstr_restr_to_element(X1,X2,X0)) )
| empty_carrier(X2)
| empty_carrier(X1)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ one_sorted_str(X1)
| ~ element(X0,the_carrier(X2)) ),
inference(ennf_transformation,[],[f1104]) ).
fof(f1104,plain,
! [X2,X0,X1] :
( ( ~ empty_carrier(X2)
& ~ empty_carrier(X1)
& net_str(X2,X1)
& directed_relstr(X2)
& one_sorted_str(X1)
& element(X0,the_carrier(X2)) )
=> ( strict_net_str(netstr_restr_to_element(X1,X2,X0),X1)
& ~ empty_carrier(netstr_restr_to_element(X1,X2,X0)) ) ),
inference(rectify,[],[f382]) ).
fof(f382,axiom,
! [X2,X0,X1] :
( ( one_sorted_str(X0)
& net_str(X1,X0)
& directed_relstr(X1)
& ~ empty_carrier(X0)
& element(X2,the_carrier(X1))
& ~ empty_carrier(X1) )
=> ( ~ empty_carrier(netstr_restr_to_element(X0,X1,X2))
& strict_net_str(netstr_restr_to_element(X0,X1,X2),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc22_waybel_9) ).
fof(f7954,plain,
( ~ spl578_47
| spl578_301
| spl578_31 ),
inference(avatar_split_clause,[],[f6416,f6071,f7952,f6693]) ).
fof(f7952,plain,
( spl578_301
<=> ! [X217,X216] :
( transitive_relstr(X216)
| ~ directed_relstr(X217)
| ~ subnet(X216,sK407,X217)
| ~ transitive_relstr(X217)
| empty_carrier(X217)
| ~ net_str(X217,sK407) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_301])]) ).
fof(f6416,plain,
( ! [X216,X217] :
( transitive_relstr(X216)
| ~ transitive_relstr(X217)
| ~ net_str(X217,sK407)
| empty_carrier(X217)
| ~ subnet(X216,sK407,X217)
| ~ one_sorted_str(sK407)
| ~ directed_relstr(X217) )
| spl578_31 ),
inference(resolution,[],[f6073,f3671]) ).
fof(f3671,plain,
! [X2,X0,X1] :
( ~ subnet(X2,X1,X0)
| ~ transitive_relstr(X0)
| ~ one_sorted_str(X1)
| ~ net_str(X0,X1)
| transitive_relstr(X2)
| empty_carrier(X0)
| empty_carrier(X1)
| ~ directed_relstr(X0) ),
inference(cnf_transformation,[],[f1930]) ).
fof(f1930,plain,
! [X1,X0] :
( ~ one_sorted_str(X1)
| empty_carrier(X1)
| empty_carrier(X0)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| ! [X2] :
( ~ subnet(X2,X1,X0)
| ( directed_relstr(X2)
& ~ empty_carrier(X2)
& transitive_relstr(X2)
& net_str(X2,X1) ) )
| ~ net_str(X0,X1) ),
inference(flattening,[],[f1929]) ).
fof(f1929,plain,
! [X1,X0] :
( ! [X2] :
( ~ subnet(X2,X1,X0)
| ( directed_relstr(X2)
& ~ empty_carrier(X2)
& transitive_relstr(X2)
& net_str(X2,X1) ) )
| ~ transitive_relstr(X0)
| ~ directed_relstr(X0)
| empty_carrier(X1)
| ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X1) ),
inference(ennf_transformation,[],[f1092]) ).
fof(f1092,plain,
! [X1,X0] :
( ( transitive_relstr(X0)
& directed_relstr(X0)
& ~ empty_carrier(X1)
& net_str(X0,X1)
& ~ empty_carrier(X0)
& one_sorted_str(X1) )
=> ! [X2] :
( subnet(X2,X1,X0)
=> ( directed_relstr(X2)
& ~ empty_carrier(X2)
& transitive_relstr(X2)
& net_str(X2,X1) ) ) ),
inference(rectify,[],[f330]) ).
fof(f330,axiom,
! [X1,X0] :
( ( directed_relstr(X1)
& net_str(X1,X0)
& one_sorted_str(X0)
& transitive_relstr(X1)
& ~ empty_carrier(X1)
& ~ empty_carrier(X0) )
=> ! [X2] :
( subnet(X2,X0,X1)
=> ( transitive_relstr(X2)
& ~ empty_carrier(X2)
& directed_relstr(X2)
& net_str(X2,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_yellow_6) ).
fof(f7948,plain,
( ~ spl578_67
| ~ spl578_74
| spl578_300
| spl578_31 ),
inference(avatar_split_clause,[],[f6475,f6071,f7946,f6806,f6776]) ).
fof(f6776,plain,
( spl578_67
<=> transitive_relstr(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_67])]) ).
fof(f6806,plain,
( spl578_74
<=> directed_relstr(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_74])]) ).
fof(f7946,plain,
( spl578_300
<=> ! [X308,X307,X306] :
( ~ net_str(sK407,X308)
| ~ relation_of2_as_subset(X306,the_carrier(X307),the_carrier(sK407))
| ~ transitive_relstr(X307)
| ~ net_str(X307,X308)
| ~ directed_relstr(X307)
| function_of_composition(the_carrier(X307),the_carrier(sK407),the_carrier(X308),X306,the_mapping(X308,sK407)) != the_mapping(X308,X307)
| ~ one_sorted_str(X308)
| ~ function(X306)
| empty_carrier(X307)
| empty_carrier(X308)
| ~ quasi_total(X306,the_carrier(X307),the_carrier(sK407))
| subnet(X307,X308,sK407)
| element(sK323(sK407,X307,X306),the_carrier(sK407)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_300])]) ).
fof(f6475,plain,
( ! [X308,X307,X306] :
( ~ net_str(sK407,X308)
| ~ quasi_total(X306,the_carrier(X307),the_carrier(sK407))
| element(sK323(sK407,X307,X306),the_carrier(sK407))
| ~ directed_relstr(sK407)
| subnet(X307,X308,sK407)
| empty_carrier(X308)
| empty_carrier(X307)
| ~ transitive_relstr(sK407)
| ~ function(X306)
| ~ one_sorted_str(X308)
| function_of_composition(the_carrier(X307),the_carrier(sK407),the_carrier(X308),X306,the_mapping(X308,sK407)) != the_mapping(X308,X307)
| ~ directed_relstr(X307)
| ~ net_str(X307,X308)
| ~ transitive_relstr(X307)
| ~ relation_of2_as_subset(X306,the_carrier(X307),the_carrier(sK407)) )
| spl578_31 ),
inference(resolution,[],[f6073,f3851]) ).
fof(f3851,plain,
! [X2,X3,X0,X1] :
( ~ quasi_total(X3,the_carrier(X2),the_carrier(X1))
| empty_carrier(X2)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| the_mapping(X0,X2) != function_of_composition(the_carrier(X2),the_carrier(X1),the_carrier(X0),X3,the_mapping(X0,X1))
| ~ directed_relstr(X1)
| ~ net_str(X2,X0)
| ~ one_sorted_str(X0)
| subnet(X2,X0,X1)
| empty_carrier(X0)
| ~ transitive_relstr(X1)
| ~ function(X3)
| ~ relation_of2_as_subset(X3,the_carrier(X2),the_carrier(X1))
| element(sK323(X1,X2,X3),the_carrier(X1)) ),
inference(cnf_transformation,[],[f1785]) ).
fof(f7944,plain,
( ~ spl578_137
| spl578_299
| ~ spl578_171
| spl578_31 ),
inference(avatar_split_clause,[],[f6398,f6071,f7281,f7942,f7109]) ).
fof(f7109,plain,
( spl578_137
<=> join_commutative(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_137])]) ).
fof(f7942,plain,
( spl578_299
<=> ! [X185,X184] :
( element(join_commut(sK407,X185,X184),the_carrier(sK407))
| ~ element(X184,the_carrier(sK407))
| ~ element(X185,the_carrier(sK407)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_299])]) ).
fof(f7281,plain,
( spl578_171
<=> join_semilatt_str(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_171])]) ).
fof(f6398,plain,
( ! [X184,X185] :
( ~ join_semilatt_str(sK407)
| element(join_commut(sK407,X185,X184),the_carrier(sK407))
| ~ element(X185,the_carrier(sK407))
| ~ join_commutative(sK407)
| ~ element(X184,the_carrier(sK407)) )
| spl578_31 ),
inference(resolution,[],[f6073,f3493]) ).
fof(f3493,plain,
! [X2,X0,X1] :
( empty_carrier(X0)
| ~ join_semilatt_str(X0)
| ~ element(X2,the_carrier(X0))
| element(join_commut(X0,X1,X2),the_carrier(X0))
| ~ join_commutative(X0)
| ~ element(X1,the_carrier(X0)) ),
inference(cnf_transformation,[],[f1783]) ).
fof(f1783,plain,
! [X0,X2,X1] :
( ~ element(X1,the_carrier(X0))
| ~ join_semilatt_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ join_commutative(X0)
| element(join_commut(X0,X1,X2),the_carrier(X0))
| empty_carrier(X0) ),
inference(flattening,[],[f1782]) ).
fof(f1782,plain,
! [X1,X2,X0] :
( element(join_commut(X0,X1,X2),the_carrier(X0))
| ~ join_semilatt_str(X0)
| ~ join_commutative(X0)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f275]) ).
fof(f275,axiom,
! [X1,X2,X0] :
( ( join_semilatt_str(X0)
& join_commutative(X0)
& element(X2,the_carrier(X0))
& element(X1,the_carrier(X0))
& ~ empty_carrier(X0) )
=> element(join_commut(X0,X1,X2),the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_lattices) ).
fof(f7940,plain,
( ~ spl578_67
| ~ spl578_60
| spl578_298
| spl578_31 ),
inference(avatar_split_clause,[],[f6389,f6071,f7938,f6746,f6776]) ).
fof(f6746,plain,
( spl578_60
<=> rel_str(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_60])]) ).
fof(f7938,plain,
( spl578_298
<=> ! [X178,X180,X179] :
( ~ element(X178,powerset(X179))
| ~ sP251(X180,X178,sK407,X179)
| ~ element(X179,powerset(the_carrier(sK407)))
| ~ finite(X178)
| in(X180,sK248(X179,sK407,X178))
| sK247(X179,sK407) = sK245(X179,sK407) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_298])]) ).
fof(f6389,plain,
( ! [X180,X178,X179] :
( ~ element(X178,powerset(X179))
| ~ rel_str(sK407)
| sK247(X179,sK407) = sK245(X179,sK407)
| in(X180,sK248(X179,sK407,X178))
| ~ transitive_relstr(sK407)
| ~ finite(X178)
| ~ element(X179,powerset(the_carrier(sK407)))
| ~ sP251(X180,X178,sK407,X179) )
| spl578_31 ),
inference(resolution,[],[f6073,f3454]) ).
fof(f3454,plain,
! [X2,X0,X11,X1] :
( ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ rel_str(X1)
| ~ element(X2,powerset(X0))
| ~ finite(X2)
| in(X11,sK248(X0,X1,X2))
| sK245(X0,X1) = sK247(X0,X1)
| ~ sP251(X11,X2,X1,X0)
| ~ element(X0,powerset(the_carrier(X1))) ),
inference(cnf_transformation,[],[f1999]) ).
fof(f1999,plain,
! [X2,X0,X1] :
( empty_carrier(X1)
| ~ finite(X2)
| ~ transitive_relstr(X1)
| ? [X10] :
! [X11] :
( in(X11,X10)
<=> ? [X12] :
( X11 = X12
& in(X12,powerset(X2))
& ? [X13] :
( X11 = X13
& ? [X14] :
( in(X14,X0)
& element(X14,the_carrier(X1))
& relstr_set_smaller(X1,X13,X14) ) ) ) )
| ~ rel_str(X1)
| ~ element(X2,powerset(X0))
| ? [X5,X4,X3] :
( ? [X8] :
( ? [X9] :
( in(X9,X0)
& relstr_set_smaller(X1,X8,X9)
& element(X9,the_carrier(X1)) )
& X4 = X8 )
& X4 = X5
& X3 != X4
& X3 = X5
& ? [X6] :
( ? [X7] :
( element(X7,the_carrier(X1))
& relstr_set_smaller(X1,X6,X7)
& in(X7,X0) )
& X3 = X6 ) )
| ~ element(X0,powerset(the_carrier(X1))) ),
inference(flattening,[],[f1998]) ).
fof(f1998,plain,
! [X1,X0,X2] :
( ? [X10] :
! [X11] :
( in(X11,X10)
<=> ? [X12] :
( X11 = X12
& in(X12,powerset(X2))
& ? [X13] :
( X11 = X13
& ? [X14] :
( in(X14,X0)
& element(X14,the_carrier(X1))
& relstr_set_smaller(X1,X13,X14) ) ) ) )
| ? [X3,X5,X4] :
( X3 != X4
& X4 = X5
& X3 = X5
& ? [X6] :
( ? [X7] :
( element(X7,the_carrier(X1))
& relstr_set_smaller(X1,X6,X7)
& in(X7,X0) )
& X3 = X6 )
& ? [X8] :
( ? [X9] :
( in(X9,X0)
& relstr_set_smaller(X1,X8,X9)
& element(X9,the_carrier(X1)) )
& X4 = X8 ) )
| ~ element(X0,powerset(the_carrier(X1)))
| ~ rel_str(X1)
| ~ element(X2,powerset(X0))
| ~ finite(X2)
| empty_carrier(X1)
| ~ transitive_relstr(X1) ),
inference(ennf_transformation,[],[f1059]) ).
fof(f1059,plain,
! [X1,X0,X2] :
( ( element(X0,powerset(the_carrier(X1)))
& rel_str(X1)
& element(X2,powerset(X0))
& finite(X2)
& ~ empty_carrier(X1)
& transitive_relstr(X1) )
=> ( ! [X3,X5,X4] :
( ( X4 = X5
& X3 = X5
& ? [X6] :
( ? [X7] :
( element(X7,the_carrier(X1))
& relstr_set_smaller(X1,X6,X7)
& in(X7,X0) )
& X3 = X6 )
& ? [X8] :
( ? [X9] :
( in(X9,X0)
& relstr_set_smaller(X1,X8,X9)
& element(X9,the_carrier(X1)) )
& X4 = X8 ) )
=> X3 = X4 )
=> ? [X10] :
! [X11] :
( in(X11,X10)
<=> ? [X12] :
( X11 = X12
& in(X12,powerset(X2))
& ? [X13] :
( X11 = X13
& ? [X14] :
( in(X14,X0)
& element(X14,the_carrier(X1))
& relstr_set_smaller(X1,X13,X14) ) ) ) ) ) ),
inference(rectify,[],[f611]) ).
fof(f611,axiom,
! [X1,X0,X2] :
( ( rel_str(X0)
& element(X2,powerset(X1))
& transitive_relstr(X0)
& element(X1,powerset(the_carrier(X0)))
& ~ empty_carrier(X0)
& finite(X2) )
=> ( ! [X5,X4,X3] :
( ( X3 = X5
& X3 = X4
& ? [X8] :
( X5 = X8
& ? [X9] :
( element(X9,the_carrier(X0))
& relstr_set_smaller(X0,X8,X9)
& in(X9,X1) ) )
& ? [X6] :
( ? [X7] :
( in(X7,X1)
& relstr_set_smaller(X0,X6,X7)
& element(X7,the_carrier(X0)) )
& X4 = X6 ) )
=> X4 = X5 )
=> ? [X3] :
! [X4] :
( in(X4,X3)
<=> ? [X5] :
( X4 = X5
& ? [X10] :
( ? [X11] :
( relstr_set_smaller(X0,X10,X11)
& element(X11,the_carrier(X0))
& in(X11,X1) )
& X4 = X10 )
& in(X5,powerset(X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e11_2_1__waybel_0__1) ).
fof(f7935,plain,
( spl578_297
| ~ spl578_60
| ~ spl578_74
| spl578_31 ),
inference(avatar_split_clause,[],[f6439,f6071,f6806,f6746,f7933]) ).
fof(f7933,plain,
( spl578_297
<=> ! [X243,X244] :
( related(sK407,X243,sK313(sK407,X243,X244))
| ~ element(X243,the_carrier(sK407))
| ~ element(X244,the_carrier(sK407)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_297])]) ).
fof(f6439,plain,
( ! [X243,X244] :
( ~ directed_relstr(sK407)
| ~ rel_str(sK407)
| related(sK407,X243,sK313(sK407,X243,X244))
| ~ element(X244,the_carrier(sK407))
| ~ element(X243,the_carrier(sK407)) )
| spl578_31 ),
inference(resolution,[],[f6073,f3776]) ).
fof(f3776,plain,
! [X2,X0,X1] :
( ~ directed_relstr(X0)
| ~ element(X1,the_carrier(X0))
| related(X0,X1,sK313(X0,X1,X2))
| empty_carrier(X0)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1817]) ).
fof(f1817,plain,
! [X0] :
( empty_carrier(X0)
| ~ rel_str(X0)
| ( ! [X1] :
( ! [X2] :
( ~ element(X2,the_carrier(X0))
| ? [X3] :
( related(X0,X1,X3)
& related(X0,X2,X3)
& element(X3,the_carrier(X0)) ) )
| ~ element(X1,the_carrier(X0)) )
<=> directed_relstr(X0) ) ),
inference(flattening,[],[f1816]) ).
fof(f1816,plain,
! [X0] :
( ( ! [X1] :
( ! [X2] :
( ~ element(X2,the_carrier(X0))
| ? [X3] :
( related(X0,X1,X3)
& related(X0,X2,X3)
& element(X3,the_carrier(X0)) ) )
| ~ element(X1,the_carrier(X0)) )
<=> directed_relstr(X0) )
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f196]) ).
fof(f196,axiom,
! [X0] :
( ( rel_str(X0)
& ~ empty_carrier(X0) )
=> ( directed_relstr(X0)
<=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ? [X3] :
( related(X0,X1,X3)
& related(X0,X2,X3)
& element(X3,the_carrier(X0)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_yellow_6) ).
fof(f7931,plain,
( ~ spl578_47
| ~ spl578_261
| spl578_31 ),
inference(avatar_split_clause,[],[f6345,f6071,f7742,f6693]) ).
fof(f6345,plain,
( ~ empty(the_carrier(sK407))
| ~ one_sorted_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3094]) ).
fof(f3094,plain,
! [X0] :
( ~ one_sorted_str(X0)
| ~ empty(the_carrier(X0))
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f2048]) ).
fof(f2048,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f2047]) ).
fof(f2047,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f374]) ).
fof(f374,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ~ empty(the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f7930,plain,
( ~ spl578_43
| spl578_296
| spl578_31 ),
inference(avatar_split_clause,[],[f6327,f6071,f7928,f6676]) ).
fof(f7928,plain,
( spl578_296
<=> ! [X70,X72,X71] :
( below(sK407,X72,X70)
| ~ latt_element_smaller(sK407,X70,X71)
| ~ in(X72,X71)
| ~ element(X72,the_carrier(sK407))
| ~ element(X70,the_carrier(sK407)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_296])]) ).
fof(f6327,plain,
( ! [X72,X70,X71] :
( below(sK407,X72,X70)
| ~ latt_str(sK407)
| ~ element(X70,the_carrier(sK407))
| ~ element(X72,the_carrier(sK407))
| ~ in(X72,X71)
| ~ latt_element_smaller(sK407,X70,X71) )
| spl578_31 ),
inference(resolution,[],[f6073,f2912]) ).
fof(f2912,plain,
! [X2,X3,X0,X1] :
( ~ element(X1,the_carrier(X0))
| ~ latt_element_smaller(X0,X1,X2)
| ~ latt_str(X0)
| ~ element(X3,the_carrier(X0))
| below(X0,X3,X1)
| ~ in(X3,X2)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1710]) ).
fof(f1710,plain,
! [X0] :
( ~ latt_str(X0)
| empty_carrier(X0)
| ! [X1] :
( ! [X2] :
( latt_element_smaller(X0,X1,X2)
<=> ! [X3] :
( below(X0,X3,X1)
| ~ element(X3,the_carrier(X0))
| ~ in(X3,X2) ) )
| ~ element(X1,the_carrier(X0)) ) ),
inference(flattening,[],[f1709]) ).
fof(f1709,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( latt_element_smaller(X0,X1,X2)
<=> ! [X3] :
( below(X0,X3,X1)
| ~ in(X3,X2)
| ~ element(X3,the_carrier(X0)) ) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f121]) ).
fof(f121,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& latt_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( latt_element_smaller(X0,X1,X2)
<=> ! [X3] :
( element(X3,the_carrier(X0))
=> ( in(X3,X2)
=> below(X0,X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d17_lattice3) ).
fof(f7926,plain,
( ~ spl578_71
| spl578_295
| ~ spl578_69
| spl578_31 ),
inference(avatar_split_clause,[],[f6433,f6071,f6785,f7924,f6792]) ).
fof(f6792,plain,
( spl578_71
<=> lower_bounded_semilattstr(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_71])]) ).
fof(f7924,plain,
( spl578_295
<=> ! [X234] :
( meet(sK407,sK309(sK407,X234),X234) != X234
| meet(sK407,X234,sK309(sK407,X234)) != X234
| ~ element(X234,the_carrier(sK407))
| bottom_of_semilattstr(sK407) = X234 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_295])]) ).
fof(f6785,plain,
( spl578_69
<=> meet_semilatt_str(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_69])]) ).
fof(f6433,plain,
( ! [X234] :
( ~ meet_semilatt_str(sK407)
| meet(sK407,sK309(sK407,X234),X234) != X234
| bottom_of_semilattstr(sK407) = X234
| ~ lower_bounded_semilattstr(sK407)
| ~ element(X234,the_carrier(sK407))
| meet(sK407,X234,sK309(sK407,X234)) != X234 )
| spl578_31 ),
inference(resolution,[],[f6073,f3760]) ).
fof(f3760,plain,
! [X0,X1] :
( ~ lower_bounded_semilattstr(X0)
| bottom_of_semilattstr(X0) = X1
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0))
| meet(X0,sK309(X0,X1),X1) != X1
| meet(X0,X1,sK309(X0,X1)) != X1
| ~ meet_semilatt_str(X0) ),
inference(cnf_transformation,[],[f1207]) ).
fof(f1207,plain,
! [X0] :
( ~ lower_bounded_semilattstr(X0)
| ! [X1] :
( ( ! [X2] :
( ( meet(X0,X1,X2) = X1
& meet(X0,X2,X1) = X1 )
| ~ element(X2,the_carrier(X0)) )
<=> bottom_of_semilattstr(X0) = X1 )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ meet_semilatt_str(X0) ),
inference(flattening,[],[f1206]) ).
fof(f1206,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ( meet(X0,X1,X2) = X1
& meet(X0,X2,X1) = X1 )
| ~ element(X2,the_carrier(X0)) )
<=> bottom_of_semilattstr(X0) = X1 )
| ~ element(X1,the_carrier(X0)) )
| ~ lower_bounded_semilattstr(X0)
| empty_carrier(X0)
| ~ meet_semilatt_str(X0) ),
inference(ennf_transformation,[],[f119]) ).
fof(f119,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& meet_semilatt_str(X0) )
=> ( lower_bounded_semilattstr(X0)
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ( ! [X2] :
( element(X2,the_carrier(X0))
=> ( meet(X0,X1,X2) = X1
& meet(X0,X2,X1) = X1 ) )
<=> bottom_of_semilattstr(X0) = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d16_lattices) ).
fof(f7922,plain,
( ~ spl578_47
| spl578_294
| spl578_31 ),
inference(avatar_split_clause,[],[f6653,f6071,f7920,f6693]) ).
fof(f7920,plain,
( spl578_294
<=> ! [X477,X478,X476] :
( ~ related(X476,X477,X478)
| ~ element(X478,the_carrier(X476))
| ~ element(X477,the_carrier(X476))
| empty_carrier(X476)
| ~ strict_net_str(netstr_restr_to_element(sK407,X476,X477),sK407)
| in(X478,the_carrier(netstr_restr_to_element(sK407,X476,X477)))
| ~ net_str(X476,sK407)
| ~ net_str(netstr_restr_to_element(sK407,X476,X477),sK407) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_294])]) ).
fof(f6653,plain,
( ! [X478,X477,X476] :
( ~ related(X476,X477,X478)
| ~ net_str(netstr_restr_to_element(sK407,X476,X477),sK407)
| ~ net_str(X476,sK407)
| in(X478,the_carrier(netstr_restr_to_element(sK407,X476,X477)))
| ~ strict_net_str(netstr_restr_to_element(sK407,X476,X477),sK407)
| empty_carrier(X476)
| ~ one_sorted_str(sK407)
| ~ element(X477,the_carrier(X476))
| ~ element(X478,the_carrier(X476)) )
| spl578_31 ),
inference(resolution,[],[f6073,f5246]) ).
fof(f5246,plain,
! [X2,X0,X1,X5] :
( ~ related(X1,X2,X5)
| ~ one_sorted_str(X0)
| ~ net_str(netstr_restr_to_element(X0,X1,X2),X0)
| in(X5,the_carrier(netstr_restr_to_element(X0,X1,X2)))
| ~ element(X5,the_carrier(X1))
| ~ net_str(X1,X0)
| ~ element(X2,the_carrier(X1))
| ~ strict_net_str(netstr_restr_to_element(X0,X1,X2),X0)
| empty_carrier(X0)
| empty_carrier(X1) ),
inference(equality_resolution,[],[f5245]) ).
fof(f5245,plain,
! [X2,X3,X0,X1,X5] :
( empty_carrier(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ element(X2,the_carrier(X1))
| ~ net_str(X3,X0)
| ~ strict_net_str(X3,X0)
| ~ related(X1,X2,X5)
| ~ element(X5,the_carrier(X1))
| in(X5,the_carrier(X3))
| netstr_restr_to_element(X0,X1,X2) != X3
| ~ one_sorted_str(X0) ),
inference(equality_resolution,[],[f2861]) ).
fof(f2861,plain,
! [X2,X3,X0,X1,X4,X5] :
( empty_carrier(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ element(X2,the_carrier(X1))
| ~ net_str(X3,X0)
| ~ strict_net_str(X3,X0)
| ~ related(X1,X2,X5)
| X4 != X5
| ~ element(X5,the_carrier(X1))
| in(X4,the_carrier(X3))
| netstr_restr_to_element(X0,X1,X2) != X3
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f1613]) ).
fof(f1613,plain,
! [X0] :
( ~ one_sorted_str(X0)
| ! [X1] :
( ! [X2] :
( ! [X3] :
( ( netstr_restr_to_element(X0,X1,X2) = X3
<=> ( the_InternalRel(X3) = relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(X3))
& ! [X4] :
( in(X4,the_carrier(X3))
<=> ? [X5] :
( element(X5,the_carrier(X1))
& X4 = X5
& related(X1,X2,X5) ) )
& the_mapping(X0,X3) = partfun_dom_restriction(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X3)) ) )
| ~ strict_net_str(X3,X0)
| ~ net_str(X3,X0) )
| ~ element(X2,the_carrier(X1)) )
| ~ net_str(X1,X0)
| empty_carrier(X1) )
| empty_carrier(X0) ),
inference(flattening,[],[f1612]) ).
fof(f1612,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( netstr_restr_to_element(X0,X1,X2) = X3
<=> ( the_InternalRel(X3) = relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(X3))
& ! [X4] :
( in(X4,the_carrier(X3))
<=> ? [X5] :
( element(X5,the_carrier(X1))
& X4 = X5
& related(X1,X2,X5) ) )
& the_mapping(X0,X3) = partfun_dom_restriction(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X3)) ) )
| ~ net_str(X3,X0)
| ~ strict_net_str(X3,X0) )
| ~ element(X2,the_carrier(X1)) )
| empty_carrier(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f204]) ).
fof(f204,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ! [X1] :
( ( ~ empty_carrier(X1)
& net_str(X1,X0) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( ( net_str(X3,X0)
& strict_net_str(X3,X0) )
=> ( netstr_restr_to_element(X0,X1,X2) = X3
<=> ( the_InternalRel(X3) = relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(X3))
& ! [X4] :
( in(X4,the_carrier(X3))
<=> ? [X5] :
( element(X5,the_carrier(X1))
& X4 = X5
& related(X1,X2,X5) ) )
& the_mapping(X0,X3) = partfun_dom_restriction(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X3)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_waybel_9) ).
fof(f7918,plain,
( ~ spl578_47
| spl578_293
| spl578_31 ),
inference(avatar_split_clause,[],[f6647,f6071,f7916,f6693]) ).
fof(f7916,plain,
( spl578_293
<=> ! [X463,X462] :
( ~ element(X463,the_carrier(X462))
| ~ net_str(netstr_restr_to_element(sK407,X462,X463),sK407)
| ~ strict_net_str(netstr_restr_to_element(sK407,X462,X463),sK407)
| ~ net_str(X462,sK407)
| empty_carrier(X462)
| relation_restriction_as_relation_of(the_InternalRel(X462),the_carrier(netstr_restr_to_element(sK407,X462,X463))) = the_InternalRel(netstr_restr_to_element(sK407,X462,X463)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_293])]) ).
fof(f6647,plain,
( ! [X463,X462] :
( ~ element(X463,the_carrier(X462))
| relation_restriction_as_relation_of(the_InternalRel(X462),the_carrier(netstr_restr_to_element(sK407,X462,X463))) = the_InternalRel(netstr_restr_to_element(sK407,X462,X463))
| empty_carrier(X462)
| ~ net_str(X462,sK407)
| ~ one_sorted_str(sK407)
| ~ strict_net_str(netstr_restr_to_element(sK407,X462,X463),sK407)
| ~ net_str(netstr_restr_to_element(sK407,X462,X463),sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f5242]) ).
fof(f5242,plain,
! [X2,X0,X1] :
( empty_carrier(X1)
| ~ strict_net_str(netstr_restr_to_element(X0,X1,X2),X0)
| ~ net_str(X1,X0)
| ~ net_str(netstr_restr_to_element(X0,X1,X2),X0)
| empty_carrier(X0)
| relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(netstr_restr_to_element(X0,X1,X2))) = the_InternalRel(netstr_restr_to_element(X0,X1,X2))
| ~ one_sorted_str(X0)
| ~ element(X2,the_carrier(X1)) ),
inference(equality_resolution,[],[f2867]) ).
fof(f2867,plain,
! [X2,X3,X0,X1] :
( empty_carrier(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ element(X2,the_carrier(X1))
| ~ net_str(X3,X0)
| ~ strict_net_str(X3,X0)
| the_InternalRel(X3) = relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(X3))
| netstr_restr_to_element(X0,X1,X2) != X3
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f1613]) ).
fof(f7912,plain,
( ~ spl578_60
| spl578_63
| ~ spl578_61
| spl578_31 ),
inference(avatar_split_clause,[],[f6276,f6071,f6750,f6760,f6746]) ).
fof(f6760,plain,
( spl578_63
<=> reflexive_relstr(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_63])]) ).
fof(f6750,plain,
( spl578_61
<=> boolean_relstr(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_61])]) ).
fof(f6276,plain,
( ~ boolean_relstr(sK407)
| reflexive_relstr(sK407)
| ~ rel_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2429]) ).
fof(f2429,plain,
! [X0] :
( reflexive_relstr(X0)
| empty_carrier(X0)
| ~ boolean_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1699]) ).
fof(f1699,plain,
! [X0] :
( ( transitive_relstr(X0)
& antisymmetric_relstr(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& bounded_relstr(X0)
& distributive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0)
& lower_bounded_relstr(X0)
& complemented_relstr(X0)
& upper_bounded_relstr(X0) )
| ~ rel_str(X0)
| ~ boolean_relstr(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f1698]) ).
fof(f1698,plain,
! [X0] :
( ( transitive_relstr(X0)
& antisymmetric_relstr(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& bounded_relstr(X0)
& distributive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0)
& lower_bounded_relstr(X0)
& complemented_relstr(X0)
& upper_bounded_relstr(X0) )
| empty_carrier(X0)
| ~ boolean_relstr(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,axiom,
! [X0] :
( rel_str(X0)
=> ( ( ~ empty_carrier(X0)
& boolean_relstr(X0) )
=> ( transitive_relstr(X0)
& antisymmetric_relstr(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& bounded_relstr(X0)
& distributive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0)
& lower_bounded_relstr(X0)
& complemented_relstr(X0)
& upper_bounded_relstr(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc8_waybel_1) ).
fof(f7911,plain,
( ~ spl578_67
| ~ spl578_60
| spl578_292
| spl578_31 ),
inference(avatar_split_clause,[],[f6377,f6071,f7909,f6746,f6776]) ).
fof(f7909,plain,
( spl578_292
<=> ! [X144,X142,X143] :
( element(sK252(X144,sK407),the_carrier(sK407))
| ~ finite(X143)
| ~ element(X143,powerset(X144))
| in(X142,sK248(X144,sK407,X143))
| ~ element(X144,powerset(the_carrier(sK407)))
| ~ sP251(X142,X143,sK407,X144) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_292])]) ).
fof(f6377,plain,
( ! [X142,X143,X144] :
( element(sK252(X144,sK407),the_carrier(sK407))
| ~ sP251(X142,X143,sK407,X144)
| ~ element(X144,powerset(the_carrier(sK407)))
| in(X142,sK248(X144,sK407,X143))
| ~ rel_str(sK407)
| ~ element(X143,powerset(X144))
| ~ finite(X143)
| ~ transitive_relstr(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f3442]) ).
fof(f3442,plain,
! [X2,X0,X11,X1] :
( ~ sP251(X11,X2,X1,X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ finite(X2)
| ~ element(X2,powerset(X0))
| ~ element(X0,powerset(the_carrier(X1)))
| in(X11,sK248(X0,X1,X2))
| element(sK252(X0,X1),the_carrier(X1))
| ~ rel_str(X1) ),
inference(cnf_transformation,[],[f1999]) ).
fof(f7907,plain,
( spl578_67
| ~ spl578_93
| ~ spl578_60
| spl578_31 ),
inference(avatar_split_clause,[],[f6344,f6071,f6746,f6897,f6776]) ).
fof(f6897,plain,
( spl578_93
<=> heyting_relstr(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_93])]) ).
fof(f6344,plain,
( ~ rel_str(sK407)
| ~ heyting_relstr(sK407)
| transitive_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3051]) ).
fof(f3051,plain,
! [X0] :
( ~ rel_str(X0)
| transitive_relstr(X0)
| empty_carrier(X0)
| ~ heyting_relstr(X0) ),
inference(cnf_transformation,[],[f1811]) ).
fof(f1811,plain,
! [X0] :
( empty_carrier(X0)
| ~ rel_str(X0)
| ( transitive_relstr(X0)
& with_suprema_relstr(X0)
& ~ empty_carrier(X0)
& antisymmetric_relstr(X0)
& reflexive_relstr(X0)
& with_infima_relstr(X0) )
| ~ heyting_relstr(X0) ),
inference(flattening,[],[f1810]) ).
fof(f1810,plain,
! [X0] :
( ( transitive_relstr(X0)
& with_suprema_relstr(X0)
& ~ empty_carrier(X0)
& antisymmetric_relstr(X0)
& reflexive_relstr(X0)
& with_infima_relstr(X0) )
| empty_carrier(X0)
| ~ heyting_relstr(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,axiom,
! [X0] :
( rel_str(X0)
=> ( ( ~ empty_carrier(X0)
& heyting_relstr(X0) )
=> ( transitive_relstr(X0)
& with_suprema_relstr(X0)
& ~ empty_carrier(X0)
& antisymmetric_relstr(X0)
& reflexive_relstr(X0)
& with_infima_relstr(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc5_waybel_1) ).
fof(f7906,plain,
( ~ spl578_47
| spl578_291
| spl578_31 ),
inference(avatar_split_clause,[],[f6662,f6071,f7904,f6693]) ).
fof(f7904,plain,
( spl578_291
<=> ! [X504,X503,X505] :
( ~ element(X505,the_carrier(X504))
| ~ element(X503,the_carrier(X504))
| ~ net_str(X504,sK407)
| ~ related(X504,X503,X505)
| empty_carrier(X504)
| in(X505,a_3_0_waybel_9(sK407,X504,X503)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_291])]) ).
fof(f6662,plain,
( ! [X505,X504,X503] :
( ~ element(X505,the_carrier(X504))
| in(X505,a_3_0_waybel_9(sK407,X504,X503))
| empty_carrier(X504)
| ~ related(X504,X503,X505)
| ~ net_str(X504,sK407)
| ~ one_sorted_str(sK407)
| ~ element(X503,the_carrier(X504)) )
| spl578_31 ),
inference(resolution,[],[f6073,f5277]) ).
fof(f5277,plain,
! [X2,X3,X0,X4] :
( ~ element(X3,the_carrier(X0))
| empty_carrier(X0)
| ~ element(X4,the_carrier(X0))
| empty_carrier(X2)
| ~ related(X0,X3,X4)
| in(X4,a_3_0_waybel_9(X2,X0,X3))
| ~ net_str(X0,X2)
| ~ one_sorted_str(X2) ),
inference(equality_resolution,[],[f3134]) ).
fof(f3134,plain,
! [X2,X3,X0,X1,X4] :
( empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ net_str(X0,X2)
| empty_carrier(X0)
| in(X1,a_3_0_waybel_9(X2,X0,X3))
| ~ element(X4,the_carrier(X0))
| X1 != X4
| ~ related(X0,X3,X4)
| ~ element(X3,the_carrier(X0)) ),
inference(cnf_transformation,[],[f1947]) ).
fof(f1947,plain,
! [X3,X1,X0,X2] :
( ~ element(X3,the_carrier(X0))
| ( ? [X4] :
( related(X0,X3,X4)
& X1 = X4
& element(X4,the_carrier(X0)) )
<=> in(X1,a_3_0_waybel_9(X2,X0,X3)) )
| empty_carrier(X0)
| ~ net_str(X0,X2)
| ~ one_sorted_str(X2)
| empty_carrier(X2) ),
inference(flattening,[],[f1946]) ).
fof(f1946,plain,
! [X1,X0,X2,X3] :
( ( ? [X4] :
( related(X0,X3,X4)
& X1 = X4
& element(X4,the_carrier(X0)) )
<=> in(X1,a_3_0_waybel_9(X2,X0,X3)) )
| ~ element(X3,the_carrier(X0))
| ~ net_str(X0,X2)
| ~ one_sorted_str(X2)
| empty_carrier(X0)
| empty_carrier(X2) ),
inference(ennf_transformation,[],[f1102]) ).
fof(f1102,plain,
! [X1,X0,X2,X3] :
( ( element(X3,the_carrier(X0))
& net_str(X0,X2)
& one_sorted_str(X2)
& ~ empty_carrier(X0)
& ~ empty_carrier(X2) )
=> ( ? [X4] :
( related(X0,X3,X4)
& X1 = X4
& element(X4,the_carrier(X0)) )
<=> in(X1,a_3_0_waybel_9(X2,X0,X3)) ) ),
inference(rectify,[],[f461]) ).
fof(f461,axiom,
! [X2,X0,X1,X3] :
( ( ~ empty_carrier(X2)
& net_str(X2,X1)
& ~ empty_carrier(X1)
& element(X3,the_carrier(X2))
& one_sorted_str(X1) )
=> ( in(X0,a_3_0_waybel_9(X1,X2,X3))
<=> ? [X4] :
( element(X4,the_carrier(X2))
& related(X2,X3,X4)
& X0 = X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_3_0_waybel_9) ).
fof(f7902,plain,
( ~ spl578_67
| ~ spl578_74
| spl578_290
| spl578_31 ),
inference(avatar_split_clause,[],[f6419,f6071,f7900,f6806,f6776]) ).
fof(f7900,plain,
( spl578_290
<=> ! [X222,X223] :
( empty_carrier(X222)
| directed_relstr(X223)
| ~ subnet(X223,X222,sK407)
| ~ net_str(sK407,X222)
| ~ one_sorted_str(X222) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_290])]) ).
fof(f6419,plain,
( ! [X222,X223] :
( empty_carrier(X222)
| ~ one_sorted_str(X222)
| ~ directed_relstr(sK407)
| ~ net_str(sK407,X222)
| ~ transitive_relstr(sK407)
| ~ subnet(X223,X222,sK407)
| directed_relstr(X223) )
| spl578_31 ),
inference(resolution,[],[f6073,f3673]) ).
fof(f3673,plain,
! [X2,X0,X1] :
( empty_carrier(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X0)
| ~ subnet(X2,X1,X0)
| ~ one_sorted_str(X1)
| directed_relstr(X2)
| ~ net_str(X0,X1)
| ~ directed_relstr(X0) ),
inference(cnf_transformation,[],[f1930]) ).
fof(f7898,plain,
( spl578_289
| ~ spl578_47
| spl578_31 ),
inference(avatar_split_clause,[],[f6522,f6071,f6693,f7896]) ).
fof(f7896,plain,
( spl578_289
<=> ! [X351] :
( empty_carrier(X351)
| relation(the_mapping(sK407,X351))
| ~ net_str(X351,sK407) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_289])]) ).
fof(f6522,plain,
( ! [X351] :
( ~ one_sorted_str(sK407)
| empty_carrier(X351)
| ~ net_str(X351,sK407)
| relation(the_mapping(sK407,X351)) )
| spl578_31 ),
inference(resolution,[],[f6073,f4062]) ).
fof(f4062,plain,
! [X0,X1] :
( empty_carrier(X1)
| relation(the_mapping(X0,X1))
| ~ net_str(X1,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f1493]) ).
fof(f1493,plain,
! [X0,X1] :
( ~ net_str(X1,X0)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ( ~ empty(the_mapping(X0,X1))
& quasi_total(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
& relation(the_mapping(X0,X1))
& function(the_mapping(X0,X1)) )
| empty_carrier(X0) ),
inference(flattening,[],[f1492]) ).
fof(f1492,plain,
! [X1,X0] :
( ( ~ empty(the_mapping(X0,X1))
& quasi_total(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
& relation(the_mapping(X0,X1))
& function(the_mapping(X0,X1)) )
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| empty_carrier(X1) ),
inference(ennf_transformation,[],[f362]) ).
fof(f362,axiom,
! [X1,X0] :
( ( one_sorted_str(X0)
& net_str(X1,X0)
& ~ empty_carrier(X0)
& ~ empty_carrier(X1) )
=> ( ~ empty(the_mapping(X0,X1))
& quasi_total(the_mapping(X0,X1),the_carrier(X1),the_carrier(X0))
& relation(the_mapping(X0,X1))
& function(the_mapping(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc15_yellow_6) ).
fof(f7894,plain,
( ~ spl578_61
| ~ spl578_60
| spl578_93
| spl578_31 ),
inference(avatar_split_clause,[],[f6445,f6071,f6897,f6746,f6750]) ).
fof(f6445,plain,
( heyting_relstr(sK407)
| ~ rel_str(sK407)
| ~ boolean_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3789]) ).
fof(f3789,plain,
! [X0] :
( ~ rel_str(X0)
| ~ boolean_relstr(X0)
| heyting_relstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1731]) ).
fof(f1731,plain,
! [X0] :
( ( distributive_relstr(X0)
& transitive_relstr(X0)
& with_infima_relstr(X0)
& reflexive_relstr(X0)
& heyting_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& ~ empty_carrier(X0)
& upper_bounded_relstr(X0) )
| ~ boolean_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f1730]) ).
fof(f1730,plain,
! [X0] :
( ( distributive_relstr(X0)
& transitive_relstr(X0)
& with_infima_relstr(X0)
& reflexive_relstr(X0)
& heyting_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& ~ empty_carrier(X0)
& upper_bounded_relstr(X0) )
| ~ boolean_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( rel_str(X0)
=> ( ( boolean_relstr(X0)
& ~ empty_carrier(X0) )
=> ( distributive_relstr(X0)
& transitive_relstr(X0)
& with_infima_relstr(X0)
& reflexive_relstr(X0)
& heyting_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& ~ empty_carrier(X0)
& upper_bounded_relstr(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc10_waybel_1) ).
fof(f7893,plain,
( ~ spl578_168
| ~ spl578_71
| ~ spl578_69
| spl578_288
| spl578_31 ),
inference(avatar_split_clause,[],[f6669,f6071,f7891,f6785,f6792,f7267]) ).
fof(f7267,plain,
( spl578_168
<=> element(bottom_of_semilattstr(sK407),the_carrier(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_168])]) ).
fof(f7891,plain,
( spl578_288
<=> ! [X520] :
( meet(sK407,bottom_of_semilattstr(sK407),X520) = bottom_of_semilattstr(sK407)
| ~ element(X520,the_carrier(sK407)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_288])]) ).
fof(f6669,plain,
( ! [X520] :
( meet(sK407,bottom_of_semilattstr(sK407),X520) = bottom_of_semilattstr(sK407)
| ~ element(X520,the_carrier(sK407))
| ~ meet_semilatt_str(sK407)
| ~ lower_bounded_semilattstr(sK407)
| ~ element(bottom_of_semilattstr(sK407),the_carrier(sK407)) )
| spl578_31 ),
inference(resolution,[],[f6073,f5366]) ).
fof(f5366,plain,
! [X2,X0] :
( ~ lower_bounded_semilattstr(X0)
| bottom_of_semilattstr(X0) = meet(X0,bottom_of_semilattstr(X0),X2)
| ~ meet_semilatt_str(X0)
| empty_carrier(X0)
| ~ element(X2,the_carrier(X0))
| ~ element(bottom_of_semilattstr(X0),the_carrier(X0)) ),
inference(equality_resolution,[],[f3759]) ).
fof(f3759,plain,
! [X2,X0,X1] :
( ~ meet_semilatt_str(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0))
| bottom_of_semilattstr(X0) != X1
| ~ element(X2,the_carrier(X0))
| meet(X0,X1,X2) = X1
| ~ lower_bounded_semilattstr(X0) ),
inference(cnf_transformation,[],[f1207]) ).
fof(f7889,plain,
( ~ spl578_60
| spl578_287
| spl578_31 ),
inference(avatar_split_clause,[],[f6308,f6071,f7887,f6746]) ).
fof(f7887,plain,
( spl578_287
<=> ! [X36,X37,X35] :
( ~ element(X37,X36)
| ~ quasi_total(X35,X36,the_carrier(sK407))
| element(apply_on_set_and_struct(X36,sK407,X35,X37),the_carrier(sK407))
| ~ function(X35)
| ~ relation_of2(X35,X36,the_carrier(sK407))
| empty(X36) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_287])]) ).
fof(f6308,plain,
( ! [X36,X37,X35] :
( ~ element(X37,X36)
| empty(X36)
| ~ relation_of2(X35,X36,the_carrier(sK407))
| ~ rel_str(sK407)
| ~ function(X35)
| element(apply_on_set_and_struct(X36,sK407,X35,X37),the_carrier(sK407))
| ~ quasi_total(X35,X36,the_carrier(sK407)) )
| spl578_31 ),
inference(resolution,[],[f6073,f2806]) ).
fof(f2806,plain,
! [X2,X3,X0,X1] :
( ~ function(X1)
| empty(X2)
| ~ rel_str(X3)
| ~ relation_of2(X1,X2,the_carrier(X3))
| element(apply_on_set_and_struct(X2,X3,X1,X0),the_carrier(X3))
| empty_carrier(X3)
| ~ element(X0,X2)
| ~ quasi_total(X1,X2,the_carrier(X3)) ),
inference(cnf_transformation,[],[f1591]) ).
fof(f1591,plain,
! [X0,X1,X2,X3] :
( element(apply_on_set_and_struct(X2,X3,X1,X0),the_carrier(X3))
| ~ relation_of2(X1,X2,the_carrier(X3))
| empty_carrier(X3)
| ~ element(X0,X2)
| ~ rel_str(X3)
| ~ quasi_total(X1,X2,the_carrier(X3))
| ~ function(X1)
| empty(X2) ),
inference(flattening,[],[f1590]) ).
fof(f1590,plain,
! [X3,X1,X0,X2] :
( element(apply_on_set_and_struct(X2,X3,X1,X0),the_carrier(X3))
| ~ rel_str(X3)
| ~ relation_of2(X1,X2,the_carrier(X3))
| empty_carrier(X3)
| empty(X2)
| ~ function(X1)
| ~ element(X0,X2)
| ~ quasi_total(X1,X2,the_carrier(X3)) ),
inference(ennf_transformation,[],[f1139]) ).
fof(f1139,plain,
! [X3,X1,X0,X2] :
( ( rel_str(X3)
& relation_of2(X1,X2,the_carrier(X3))
& ~ empty_carrier(X3)
& ~ empty(X2)
& function(X1)
& element(X0,X2)
& quasi_total(X1,X2,the_carrier(X3)) )
=> element(apply_on_set_and_struct(X2,X3,X1,X0),the_carrier(X3)) ),
inference(rectify,[],[f283]) ).
fof(f283,axiom,
! [X3,X2,X0,X1] :
( ( quasi_total(X2,X0,the_carrier(X1))
& rel_str(X1)
& relation_of2(X2,X0,the_carrier(X1))
& element(X3,X0)
& function(X2)
& ~ empty_carrier(X1)
& ~ empty(X0) )
=> element(apply_on_set_and_struct(X0,X1,X2,X3),the_carrier(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_yellow_6) ).
fof(f7885,plain,
( ~ spl578_64
| ~ spl578_63
| ~ spl578_66
| ~ spl578_90
| spl578_65
| ~ spl578_91
| ~ spl578_60
| ~ spl578_67
| spl578_31 ),
inference(avatar_split_clause,[],[f6428,f6071,f6776,f6746,f6887,f6768,f6883,f6772,f6760,f6764]) ).
fof(f6764,plain,
( spl578_64
<=> antisymmetric_relstr(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_64])]) ).
fof(f6772,plain,
( spl578_66
<=> up_complete_relstr(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_66])]) ).
fof(f6883,plain,
( spl578_90
<=> upper_bounded_relstr(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_90])]) ).
fof(f6768,plain,
( spl578_65
<=> bounded_relstr(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_65])]) ).
fof(f6887,plain,
( spl578_91
<=> join_complete_relstr(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_91])]) ).
fof(f6428,plain,
( ~ transitive_relstr(sK407)
| ~ rel_str(sK407)
| ~ join_complete_relstr(sK407)
| bounded_relstr(sK407)
| ~ upper_bounded_relstr(sK407)
| ~ up_complete_relstr(sK407)
| ~ reflexive_relstr(sK407)
| ~ antisymmetric_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3731]) ).
fof(f3731,plain,
! [X0] :
( bounded_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ~ join_complete_relstr(X0)
| ~ upper_bounded_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ up_complete_relstr(X0) ),
inference(cnf_transformation,[],[f2179]) ).
fof(f2179,plain,
! [X0] :
( ~ up_complete_relstr(X0)
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ( lower_bounded_relstr(X0)
& up_complete_relstr(X0)
& reflexive_relstr(X0)
& upper_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& with_suprema_relstr(X0)
& transitive_relstr(X0)
& join_complete_relstr(X0)
& with_infima_relstr(X0)
& complete_relstr(X0)
& ~ empty_carrier(X0)
& bounded_relstr(X0) )
| ~ upper_bounded_relstr(X0)
| ~ transitive_relstr(X0)
| ~ join_complete_relstr(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f2178]) ).
fof(f2178,plain,
! [X0] :
( ( lower_bounded_relstr(X0)
& up_complete_relstr(X0)
& reflexive_relstr(X0)
& upper_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& with_suprema_relstr(X0)
& transitive_relstr(X0)
& join_complete_relstr(X0)
& with_infima_relstr(X0)
& complete_relstr(X0)
& ~ empty_carrier(X0)
& bounded_relstr(X0) )
| ~ join_complete_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ upper_bounded_relstr(X0)
| empty_carrier(X0)
| ~ up_complete_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( rel_str(X0)
=> ( ( join_complete_relstr(X0)
& antisymmetric_relstr(X0)
& upper_bounded_relstr(X0)
& ~ empty_carrier(X0)
& up_complete_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0) )
=> ( lower_bounded_relstr(X0)
& up_complete_relstr(X0)
& reflexive_relstr(X0)
& upper_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& with_suprema_relstr(X0)
& transitive_relstr(X0)
& join_complete_relstr(X0)
& with_infima_relstr(X0)
& complete_relstr(X0)
& ~ empty_carrier(X0)
& bounded_relstr(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_yellow_2) ).
fof(f7884,plain,
( spl578_186
| ~ spl578_43
| ~ spl578_45
| ~ spl578_44
| spl578_31 ),
inference(avatar_split_clause,[],[f6534,f6071,f6680,f6684,f6676,f7365]) ).
fof(f7365,plain,
( spl578_186
<=> reflexive_relstr(poset_of_lattice(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_186])]) ).
fof(f6680,plain,
( spl578_44
<=> complete_latt_str(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_44])]) ).
fof(f6534,plain,
( ~ complete_latt_str(sK407)
| ~ lattice(sK407)
| ~ latt_str(sK407)
| reflexive_relstr(poset_of_lattice(sK407))
| spl578_31 ),
inference(resolution,[],[f6073,f4149]) ).
fof(f4149,plain,
! [X0] :
( reflexive_relstr(poset_of_lattice(X0))
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ lattice(X0) ),
inference(cnf_transformation,[],[f1679]) ).
fof(f1679,plain,
! [X0] :
( empty_carrier(X0)
| ~ latt_str(X0)
| ~ lattice(X0)
| ( upper_bounded_relstr(poset_of_lattice(X0))
& with_infima_relstr(poset_of_lattice(X0))
& complete_relstr(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0))
& bounded_relstr(poset_of_lattice(X0))
& with_suprema_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0))
& ~ empty_carrier(poset_of_lattice(X0))
& reflexive_relstr(poset_of_lattice(X0))
& lower_bounded_relstr(poset_of_lattice(X0)) )
| ~ complete_latt_str(X0) ),
inference(flattening,[],[f1678]) ).
fof(f1678,plain,
! [X0] :
( ( upper_bounded_relstr(poset_of_lattice(X0))
& with_infima_relstr(poset_of_lattice(X0))
& complete_relstr(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0))
& bounded_relstr(poset_of_lattice(X0))
& with_suprema_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0))
& ~ empty_carrier(poset_of_lattice(X0))
& reflexive_relstr(poset_of_lattice(X0))
& lower_bounded_relstr(poset_of_lattice(X0)) )
| empty_carrier(X0)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f435]) ).
fof(f435,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& lattice(X0)
& complete_latt_str(X0)
& latt_str(X0) )
=> ( upper_bounded_relstr(poset_of_lattice(X0))
& with_infima_relstr(poset_of_lattice(X0))
& complete_relstr(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0))
& bounded_relstr(poset_of_lattice(X0))
& with_suprema_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0))
& ~ empty_carrier(poset_of_lattice(X0))
& reflexive_relstr(poset_of_lattice(X0))
& lower_bounded_relstr(poset_of_lattice(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_yellow_1) ).
fof(f7883,plain,
( spl578_286
| ~ spl578_43
| ~ spl578_44
| ~ spl578_45
| spl578_31 ),
inference(avatar_split_clause,[],[f6539,f6071,f6684,f6680,f6676,f7880]) ).
fof(f7880,plain,
( spl578_286
<=> bounded_relstr(poset_of_lattice(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_286])]) ).
fof(f6539,plain,
( ~ lattice(sK407)
| ~ complete_latt_str(sK407)
| ~ latt_str(sK407)
| bounded_relstr(poset_of_lattice(sK407))
| spl578_31 ),
inference(resolution,[],[f6073,f4154]) ).
fof(f4154,plain,
! [X0] :
( bounded_relstr(poset_of_lattice(X0))
| ~ latt_str(X0)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1679]) ).
fof(f7878,plain,
( ~ spl578_82
| ~ spl578_43
| spl578_71
| spl578_31 ),
inference(avatar_split_clause,[],[f6254,f6071,f6792,f6676,f6842]) ).
fof(f6842,plain,
( spl578_82
<=> bounded_lattstr(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_82])]) ).
fof(f6254,plain,
( lower_bounded_semilattstr(sK407)
| ~ latt_str(sK407)
| ~ bounded_lattstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2248]) ).
fof(f2248,plain,
! [X0] :
( empty_carrier(X0)
| lower_bounded_semilattstr(X0)
| ~ latt_str(X0)
| ~ bounded_lattstr(X0) ),
inference(cnf_transformation,[],[f1813]) ).
fof(f1813,plain,
! [X0] :
( ~ bounded_lattstr(X0)
| empty_carrier(X0)
| ( ~ empty_carrier(X0)
& upper_bounded_semilattstr(X0)
& lower_bounded_semilattstr(X0) )
| ~ latt_str(X0) ),
inference(flattening,[],[f1812]) ).
fof(f1812,plain,
! [X0] :
( ( ~ empty_carrier(X0)
& upper_bounded_semilattstr(X0)
& lower_bounded_semilattstr(X0) )
| empty_carrier(X0)
| ~ bounded_lattstr(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,axiom,
! [X0] :
( latt_str(X0)
=> ( ( ~ empty_carrier(X0)
& bounded_lattstr(X0) )
=> ( ~ empty_carrier(X0)
& upper_bounded_semilattstr(X0)
& lower_bounded_semilattstr(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc4_lattices) ).
fof(f7874,plain,
( ~ spl578_285
| spl578_31
| ~ spl578_39
| ~ spl578_40 ),
inference(avatar_split_clause,[],[f7869,f6189,f6183,f6071,f7871]) ).
fof(f7871,plain,
( spl578_285
<=> empty(sK86(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_285])]) ).
fof(f7869,plain,
( ~ empty(sK86(sK407))
| spl578_31
| ~ spl578_39
| ~ spl578_40 ),
inference(subsumption_resolution,[],[f7868,f6185]) ).
fof(f7868,plain,
( ~ top_str(sK407)
| ~ empty(sK86(sK407))
| spl578_31
| ~ spl578_40 ),
inference(subsumption_resolution,[],[f6291,f6191]) ).
fof(f6291,plain,
( ~ empty(sK86(sK407))
| ~ topological_space(sK407)
| ~ top_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2663]) ).
fof(f2663,plain,
! [X0] :
( ~ topological_space(X0)
| empty_carrier(X0)
| ~ top_str(X0)
| ~ empty(sK86(X0)) ),
inference(cnf_transformation,[],[f1209]) ).
fof(f1209,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& open_subset(X1,X0)
& element(X1,powerset(the_carrier(X0)))
& closed_subset(X1,X0) )
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f1208]) ).
fof(f1208,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& open_subset(X1,X0)
& element(X1,powerset(the_carrier(X0)))
& closed_subset(X1,X0) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f545]) ).
fof(f545,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) )
=> ? [X1] :
( ~ empty(X1)
& open_subset(X1,X0)
& element(X1,powerset(the_carrier(X0)))
& closed_subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_tops_1) ).
fof(f7864,plain,
( ~ spl578_63
| ~ spl578_60
| spl578_89
| ~ spl578_67
| ~ spl578_66
| ~ spl578_94
| ~ spl578_59
| ~ spl578_64
| spl578_31 ),
inference(avatar_split_clause,[],[f6547,f6071,f6764,f6742,f6901,f6772,f6776,f6879,f6746,f6760]) ).
fof(f6879,plain,
( spl578_89
<=> complete_relstr(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_89])]) ).
fof(f6901,plain,
( spl578_94
<=> with_suprema_relstr(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_94])]) ).
fof(f6742,plain,
( spl578_59
<=> lower_bounded_relstr(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_59])]) ).
fof(f6547,plain,
( ~ antisymmetric_relstr(sK407)
| ~ lower_bounded_relstr(sK407)
| ~ with_suprema_relstr(sK407)
| ~ up_complete_relstr(sK407)
| ~ transitive_relstr(sK407)
| complete_relstr(sK407)
| ~ rel_str(sK407)
| ~ reflexive_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4196]) ).
fof(f4196,plain,
! [X0] :
( ~ reflexive_relstr(X0)
| ~ lower_bounded_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ~ up_complete_relstr(X0)
| ~ with_suprema_relstr(X0)
| complete_relstr(X0)
| ~ transitive_relstr(X0) ),
inference(cnf_transformation,[],[f1651]) ).
fof(f1651,plain,
! [X0] :
( ( complete_relstr(X0)
& with_infima_relstr(X0)
& reflexive_relstr(X0)
& transitive_relstr(X0)
& ~ empty_carrier(X0)
& bounded_relstr(X0)
& upper_bounded_relstr(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& with_suprema_relstr(X0) )
| empty_carrier(X0)
| ~ with_suprema_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ reflexive_relstr(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ~ up_complete_relstr(X0) ),
inference(flattening,[],[f1650]) ).
fof(f1650,plain,
! [X0] :
( ( complete_relstr(X0)
& with_infima_relstr(X0)
& reflexive_relstr(X0)
& transitive_relstr(X0)
& ~ empty_carrier(X0)
& bounded_relstr(X0)
& upper_bounded_relstr(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& with_suprema_relstr(X0) )
| ~ antisymmetric_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ up_complete_relstr(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( rel_str(X0)
=> ( ( antisymmetric_relstr(X0)
& with_suprema_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0)
& transitive_relstr(X0)
& lower_bounded_relstr(X0)
& up_complete_relstr(X0) )
=> ( complete_relstr(X0)
& with_infima_relstr(X0)
& reflexive_relstr(X0)
& transitive_relstr(X0)
& ~ empty_carrier(X0)
& bounded_relstr(X0)
& upper_bounded_relstr(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& with_suprema_relstr(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc12_waybel_0) ).
fof(f7863,plain,
( ~ spl578_43
| ~ spl578_71
| ~ spl578_45
| spl578_97
| spl578_31 ),
inference(avatar_split_clause,[],[f6348,f6071,f6918,f6684,f6792,f6676]) ).
fof(f6918,plain,
( spl578_97
<=> with_infima_relstr(poset_of_lattice(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_97])]) ).
fof(f6348,plain,
( with_infima_relstr(poset_of_lattice(sK407))
| ~ lattice(sK407)
| ~ lower_bounded_semilattstr(sK407)
| ~ latt_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3112]) ).
fof(f3112,plain,
! [X0] :
( empty_carrier(X0)
| ~ lattice(X0)
| with_infima_relstr(poset_of_lattice(X0))
| ~ lower_bounded_semilattstr(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f2135]) ).
fof(f2135,plain,
! [X0] :
( ~ lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0)
| ~ lower_bounded_semilattstr(X0)
| ( ~ empty_carrier(poset_of_lattice(X0))
& with_suprema_relstr(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0))
& lower_bounded_relstr(poset_of_lattice(X0))
& reflexive_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0))
& with_infima_relstr(poset_of_lattice(X0)) ) ),
inference(flattening,[],[f2134]) ).
fof(f2134,plain,
! [X0] :
( ( ~ empty_carrier(poset_of_lattice(X0))
& with_suprema_relstr(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0))
& lower_bounded_relstr(poset_of_lattice(X0))
& reflexive_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0))
& with_infima_relstr(poset_of_lattice(X0)) )
| ~ lower_bounded_semilattstr(X0)
| empty_carrier(X0)
| ~ latt_str(X0)
| ~ lattice(X0) ),
inference(ennf_transformation,[],[f424]) ).
fof(f424,axiom,
! [X0] :
( ( lower_bounded_semilattstr(X0)
& ~ empty_carrier(X0)
& latt_str(X0)
& lattice(X0) )
=> ( ~ empty_carrier(poset_of_lattice(X0))
& with_suprema_relstr(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0))
& lower_bounded_relstr(poset_of_lattice(X0))
& reflexive_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0))
& with_infima_relstr(poset_of_lattice(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_yellow_1) ).
fof(f7862,plain,
( ~ spl578_43
| ~ spl578_45
| spl578_284
| spl578_31 ),
inference(avatar_split_clause,[],[f6674,f6071,f7860,f6684,f6676]) ).
fof(f7860,plain,
( spl578_284
<=> ! [X527,X528] :
( ~ below_refl(sK407,X527,X528)
| ~ element(X527,the_carrier(sK407))
| ~ element(X528,the_carrier(sK407))
| in(ordered_pair_as_product_element(the_carrier(sK407),the_carrier(sK407),X527,X528),a_1_0_filter_1(sK407)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_284])]) ).
fof(f6674,plain,
( ! [X528,X527] :
( ~ below_refl(sK407,X527,X528)
| in(ordered_pair_as_product_element(the_carrier(sK407),the_carrier(sK407),X527,X528),a_1_0_filter_1(sK407))
| ~ lattice(sK407)
| ~ element(X528,the_carrier(sK407))
| ~ latt_str(sK407)
| ~ element(X527,the_carrier(sK407)) )
| spl578_31 ),
inference(resolution,[],[f6073,f5457]) ).
fof(f5457,plain,
! [X2,X3,X0] :
( in(ordered_pair_as_product_element(the_carrier(X0),the_carrier(X0),X3,X2),a_1_0_filter_1(X0))
| ~ element(X2,the_carrier(X0))
| ~ latt_str(X0)
| ~ element(X3,the_carrier(X0))
| empty_carrier(X0)
| ~ lattice(X0)
| ~ below_refl(X0,X3,X2) ),
inference(equality_resolution,[],[f4596]) ).
fof(f4596,plain,
! [X2,X3,X0,X1] :
( ordered_pair_as_product_element(the_carrier(X0),the_carrier(X0),X3,X2) != X1
| ~ element(X2,the_carrier(X0))
| ~ element(X3,the_carrier(X0))
| ~ below_refl(X0,X3,X2)
| in(X1,a_1_0_filter_1(X0))
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f1377]) ).
fof(f1377,plain,
! [X1,X0] :
( ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| ( in(X1,a_1_0_filter_1(X0))
<=> ? [X3,X2] :
( below_refl(X0,X3,X2)
& element(X3,the_carrier(X0))
& element(X2,the_carrier(X0))
& ordered_pair_as_product_element(the_carrier(X0),the_carrier(X0),X3,X2) = X1 ) ) ),
inference(flattening,[],[f1376]) ).
fof(f1376,plain,
! [X0,X1] :
( ( in(X1,a_1_0_filter_1(X0))
<=> ? [X3,X2] :
( below_refl(X0,X3,X2)
& element(X3,the_carrier(X0))
& element(X2,the_carrier(X0))
& ordered_pair_as_product_element(the_carrier(X0),the_carrier(X0),X3,X2) = X1 ) )
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ lattice(X0) ),
inference(ennf_transformation,[],[f1098]) ).
fof(f1098,plain,
! [X0,X1] :
( ( latt_str(X0)
& ~ empty_carrier(X0)
& lattice(X0) )
=> ( in(X1,a_1_0_filter_1(X0))
<=> ? [X3,X2] :
( below_refl(X0,X3,X2)
& element(X3,the_carrier(X0))
& element(X2,the_carrier(X0))
& ordered_pair_as_product_element(the_carrier(X0),the_carrier(X0),X3,X2) = X1 ) ) ),
inference(rectify,[],[f457]) ).
fof(f457,axiom,
! [X1,X0] :
( ( ~ empty_carrier(X1)
& latt_str(X1)
& lattice(X1) )
=> ( ? [X3,X2] :
( below_refl(X1,X2,X3)
& ordered_pair_as_product_element(the_carrier(X1),the_carrier(X1),X2,X3) = X0
& element(X2,the_carrier(X1))
& element(X3,the_carrier(X1)) )
<=> in(X0,a_1_0_filter_1(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_1_0_filter_1) ).
fof(f7858,plain,
( ~ spl578_83
| ~ spl578_45
| ~ spl578_142
| ~ spl578_43
| spl578_31 ),
inference(avatar_split_clause,[],[f6633,f6071,f6676,f7131,f6684,f6846]) ).
fof(f7131,plain,
( spl578_142
<=> empty_carrier(poset_of_lattice(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_142])]) ).
fof(f6633,plain,
( ~ latt_str(sK407)
| ~ empty_carrier(poset_of_lattice(sK407))
| ~ lattice(sK407)
| ~ upper_bounded_semilattstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f5073]) ).
fof(f5073,plain,
! [X0] :
( ~ upper_bounded_semilattstr(X0)
| ~ lattice(X0)
| ~ empty_carrier(poset_of_lattice(X0))
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1481]) ).
fof(f7857,plain,
( spl578_283
| ~ spl578_44
| ~ spl578_45
| ~ spl578_43
| spl578_31 ),
inference(avatar_split_clause,[],[f6672,f6071,f6676,f6684,f6680,f7855]) ).
fof(f7855,plain,
( spl578_283
<=> ! [X524] :
( ~ element(join_of_latt_set(sK407,X524),the_carrier(sK407))
| latt_element_smaller(sK407,join_of_latt_set(sK407,X524),X524) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_283])]) ).
fof(f6672,plain,
( ! [X524] :
( ~ latt_str(sK407)
| ~ lattice(sK407)
| ~ complete_latt_str(sK407)
| ~ element(join_of_latt_set(sK407,X524),the_carrier(sK407))
| latt_element_smaller(sK407,join_of_latt_set(sK407,X524),X524) )
| spl578_31 ),
inference(resolution,[],[f6073,f5416]) ).
fof(f5416,plain,
! [X2,X0] :
( ~ lattice(X0)
| ~ complete_latt_str(X0)
| empty_carrier(X0)
| latt_element_smaller(X0,join_of_latt_set(X0,X2),X2)
| ~ element(join_of_latt_set(X0,X2),the_carrier(X0))
| ~ latt_str(X0) ),
inference(equality_resolution,[],[f4201]) ).
fof(f4201,plain,
! [X2,X0,X1] :
( join_of_latt_set(X0,X2) != X1
| latt_element_smaller(X0,X1,X2)
| ~ element(X1,the_carrier(X0))
| ~ lattice(X0)
| ~ latt_str(X0)
| ~ complete_latt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f2002]) ).
fof(f2002,plain,
! [X0] :
( empty_carrier(X0)
| ~ complete_latt_str(X0)
| empty_carrier(X0)
| ~ latt_str(X0)
| ~ lattice(X0)
| ~ latt_str(X0)
| ! [X2,X1] :
( ~ element(X1,the_carrier(X0))
| ( ( ! [X3] :
( below(X0,X1,X3)
| ~ latt_element_smaller(X0,X3,X2)
| ~ element(X3,the_carrier(X0)) )
& latt_element_smaller(X0,X1,X2) )
<=> join_of_latt_set(X0,X2) = X1 ) ) ),
inference(flattening,[],[f2001]) ).
fof(f2001,plain,
! [X0] :
( ! [X1,X2] :
( ( ( latt_element_smaller(X0,X1,X2)
& ! [X3] :
( below(X0,X1,X3)
| ~ latt_element_smaller(X0,X3,X2)
| ~ element(X3,the_carrier(X0)) ) )
<=> join_of_latt_set(X0,X2) = X1 )
| ~ element(X1,the_carrier(X0)) )
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| empty_carrier(X0)
| ~ latt_str(X0)
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f1063]) ).
fof(f1063,plain,
! [X0] :
( ( latt_str(X0)
& ~ empty_carrier(X0) )
=> ( ( lattice(X0)
& complete_latt_str(X0)
& ~ empty_carrier(X0)
& latt_str(X0) )
=> ! [X1,X2] :
( element(X1,the_carrier(X0))
=> ( ( latt_element_smaller(X0,X1,X2)
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( latt_element_smaller(X0,X3,X2)
=> below(X0,X1,X3) ) ) )
<=> join_of_latt_set(X0,X2) = X1 ) ) ) ),
inference(rectify,[],[f150]) ).
fof(f150,axiom,
! [X0] :
( ( latt_str(X0)
& ~ empty_carrier(X0) )
=> ( ( lattice(X0)
& complete_latt_str(X0)
& ~ empty_carrier(X0)
& latt_str(X0) )
=> ! [X2,X1] :
( element(X2,the_carrier(X0))
=> ( join_of_latt_set(X0,X1) = X2
<=> ( latt_element_smaller(X0,X2,X1)
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( latt_element_smaller(X0,X3,X1)
=> below(X0,X2,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d21_lattice3) ).
fof(f7853,plain,
( ~ spl578_47
| spl578_282
| spl578_31 ),
inference(avatar_split_clause,[],[f6477,f6071,f7851,f6693]) ).
fof(f7851,plain,
( spl578_282
<=> ! [X312,X313] :
( ~ directed_relstr(X312)
| quasi_total(sK322(sK407,X313,X312),the_carrier(X312),the_carrier(X313))
| ~ subnet(X312,sK407,X313)
| ~ transitive_relstr(X312)
| ~ net_str(X312,sK407)
| empty_carrier(X312)
| ~ transitive_relstr(X313)
| ~ net_str(X313,sK407)
| empty_carrier(X313)
| ~ directed_relstr(X313) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_282])]) ).
fof(f6477,plain,
( ! [X313,X312] :
( ~ directed_relstr(X312)
| ~ transitive_relstr(X313)
| ~ directed_relstr(X313)
| ~ one_sorted_str(sK407)
| empty_carrier(X312)
| empty_carrier(X313)
| ~ net_str(X312,sK407)
| ~ transitive_relstr(X312)
| ~ net_str(X313,sK407)
| ~ subnet(X312,sK407,X313)
| quasi_total(sK322(sK407,X313,X312),the_carrier(X312),the_carrier(X313)) )
| spl578_31 ),
inference(resolution,[],[f6073,f3852]) ).
fof(f3852,plain,
! [X2,X0,X1] :
( ~ directed_relstr(X2)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ subnet(X2,X0,X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0)
| quasi_total(sK322(X0,X1,X2),the_carrier(X2),the_carrier(X1))
| empty_carrier(X0)
| ~ transitive_relstr(X1)
| ~ net_str(X2,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X2) ),
inference(cnf_transformation,[],[f1785]) ).
fof(f7849,plain,
( spl578_281
| ~ spl578_63
| ~ spl578_90
| ~ spl578_67
| ~ spl578_64
| ~ spl578_60
| spl578_73
| spl578_31 ),
inference(avatar_split_clause,[],[f6532,f6071,f6801,f6746,f6764,f6776,f6883,f6760,f7846]) ).
fof(f7846,plain,
( spl578_281
<=> proper_element(sK364(sK407),powerset(the_carrier(sK407))) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_281])]) ).
fof(f6801,plain,
( spl578_73
<=> trivial_carrier(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_73])]) ).
fof(f6532,plain,
( trivial_carrier(sK407)
| ~ rel_str(sK407)
| ~ antisymmetric_relstr(sK407)
| ~ transitive_relstr(sK407)
| ~ upper_bounded_relstr(sK407)
| ~ reflexive_relstr(sK407)
| proper_element(sK364(sK407),powerset(the_carrier(sK407)))
| spl578_31 ),
inference(resolution,[],[f6073,f4103]) ).
fof(f4103,plain,
! [X0] :
( ~ reflexive_relstr(X0)
| trivial_carrier(X0)
| proper_element(sK364(X0),powerset(the_carrier(X0)))
| empty_carrier(X0)
| ~ upper_bounded_relstr(X0)
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0) ),
inference(cnf_transformation,[],[f1340]) ).
fof(f1340,plain,
! [X0] :
( empty_carrier(X0)
| ~ upper_bounded_relstr(X0)
| ~ rel_str(X0)
| trivial_carrier(X0)
| ~ reflexive_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ? [X1] :
( proper_element(X1,powerset(the_carrier(X0)))
& filtered_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0)))
& upper_relstr_subset(X1,X0) )
| ~ transitive_relstr(X0) ),
inference(flattening,[],[f1339]) ).
fof(f1339,plain,
! [X0] :
( ? [X1] :
( proper_element(X1,powerset(the_carrier(X0)))
& filtered_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0)))
& upper_relstr_subset(X1,X0) )
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| trivial_carrier(X0)
| ~ upper_bounded_relstr(X0) ),
inference(ennf_transformation,[],[f552]) ).
fof(f552,axiom,
! [X0] :
( ( rel_str(X0)
& transitive_relstr(X0)
& antisymmetric_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0)
& ~ trivial_carrier(X0)
& upper_bounded_relstr(X0) )
=> ? [X1] :
( proper_element(X1,powerset(the_carrier(X0)))
& filtered_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0)))
& upper_relstr_subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc4_waybel_7) ).
fof(f7844,plain,
( spl578_280
| ~ spl578_43
| ~ spl578_45
| spl578_31 ),
inference(avatar_split_clause,[],[f6622,f6071,f6684,f6676,f7841]) ).
fof(f7841,plain,
( spl578_280
<=> v1_partfun1(k2_lattice3(sK407),the_carrier(sK407),the_carrier(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_280])]) ).
fof(f6622,plain,
( ~ lattice(sK407)
| ~ latt_str(sK407)
| v1_partfun1(k2_lattice3(sK407),the_carrier(sK407),the_carrier(sK407))
| spl578_31 ),
inference(resolution,[],[f6073,f5041]) ).
fof(f5041,plain,
! [X0] :
( v1_partfun1(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
| empty_carrier(X0)
| ~ latt_str(X0)
| ~ lattice(X0) ),
inference(cnf_transformation,[],[f2069]) ).
fof(f2069,plain,
! [X0] :
( ~ latt_str(X0)
| empty_carrier(X0)
| ~ lattice(X0)
| ( v1_partfun1(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
& reflexive(k2_lattice3(X0))
& relation_of2_as_subset(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
& transitive(k2_lattice3(X0))
& antisymmetric(k2_lattice3(X0)) ) ),
inference(flattening,[],[f2068]) ).
fof(f2068,plain,
! [X0] :
( ( v1_partfun1(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
& reflexive(k2_lattice3(X0))
& relation_of2_as_subset(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
& transitive(k2_lattice3(X0))
& antisymmetric(k2_lattice3(X0)) )
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ lattice(X0) ),
inference(ennf_transformation,[],[f260]) ).
fof(f260,axiom,
! [X0] :
( ( latt_str(X0)
& ~ empty_carrier(X0)
& lattice(X0) )
=> ( v1_partfun1(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
& reflexive(k2_lattice3(X0))
& relation_of2_as_subset(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
& transitive(k2_lattice3(X0))
& antisymmetric(k2_lattice3(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_lattice3) ).
fof(f7839,plain,
( ~ spl578_61
| spl578_132
| ~ spl578_60
| spl578_31 ),
inference(avatar_split_clause,[],[f6280,f6071,f6746,f7088,f6750]) ).
fof(f7088,plain,
( spl578_132
<=> with_infima_relstr(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_132])]) ).
fof(f6280,plain,
( ~ rel_str(sK407)
| with_infima_relstr(sK407)
| ~ boolean_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2433]) ).
fof(f2433,plain,
! [X0] :
( with_infima_relstr(X0)
| ~ rel_str(X0)
| ~ boolean_relstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1699]) ).
fof(f7838,plain,
( ~ spl578_47
| spl578_279
| spl578_31 ),
inference(avatar_split_clause,[],[f6583,f6071,f7836,f6693]) ).
fof(f7836,plain,
( spl578_279
<=> ! [X411,X410] :
( empty_carrier(X410)
| ~ net_str(X410,sK407)
| element(sK463(sK407,X410,X411),the_carrier(X410))
| ~ is_eventually_in(sK407,X410,X411) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_279])]) ).
fof(f6583,plain,
( ! [X411,X410] :
( empty_carrier(X410)
| ~ one_sorted_str(sK407)
| ~ is_eventually_in(sK407,X410,X411)
| element(sK463(sK407,X410,X411),the_carrier(X410))
| ~ net_str(X410,sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f4551]) ).
fof(f4551,plain,
! [X2,X0,X1] :
( element(sK463(X0,X1,X2),the_carrier(X1))
| ~ net_str(X1,X0)
| empty_carrier(X0)
| ~ is_eventually_in(X0,X1,X2)
| ~ one_sorted_str(X0)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f1708]) ).
fof(f1708,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( is_eventually_in(X0,X1,X2)
<=> ? [X3] :
( ! [X4] :
( ~ element(X4,the_carrier(X1))
| in(apply_netmap(X0,X1,X4),X2)
| ~ related(X1,X3,X4) )
& element(X3,the_carrier(X1)) ) )
| empty_carrier(X1)
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f1707]) ).
fof(f1707,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( ! [X4] :
( in(apply_netmap(X0,X1,X4),X2)
| ~ related(X1,X3,X4)
| ~ element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X1)) )
<=> is_eventually_in(X0,X1,X2) )
| empty_carrier(X1)
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f102]) ).
fof(f102,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( ~ empty_carrier(X1)
& net_str(X1,X0) )
=> ! [X2] :
( ? [X3] :
( ! [X4] :
( element(X4,the_carrier(X1))
=> ( related(X1,X3,X4)
=> in(apply_netmap(X0,X1,X4),X2) ) )
& element(X3,the_carrier(X1)) )
<=> is_eventually_in(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_waybel_0) ).
fof(f7831,plain,
( spl578_278
| spl578_31
| ~ spl578_39
| ~ spl578_40 ),
inference(avatar_split_clause,[],[f7826,f6189,f6183,f6071,f7828]) ).
fof(f7828,plain,
( spl578_278
<=> open_subset(sK86(sK407),sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_278])]) ).
fof(f7826,plain,
( open_subset(sK86(sK407),sK407)
| spl578_31
| ~ spl578_39
| ~ spl578_40 ),
inference(subsumption_resolution,[],[f7825,f6191]) ).
fof(f7825,plain,
( open_subset(sK86(sK407),sK407)
| ~ topological_space(sK407)
| spl578_31
| ~ spl578_39 ),
inference(subsumption_resolution,[],[f6290,f6185]) ).
fof(f6290,plain,
( open_subset(sK86(sK407),sK407)
| ~ top_str(sK407)
| ~ topological_space(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2662]) ).
fof(f2662,plain,
! [X0] :
( ~ top_str(X0)
| empty_carrier(X0)
| open_subset(sK86(X0),X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f1209]) ).
fof(f7824,plain,
( ~ spl578_67
| ~ spl578_277
| ~ spl578_60
| ~ spl578_63
| spl578_31 ),
inference(avatar_split_clause,[],[f6259,f6071,f6760,f6746,f7821,f6776]) ).
fof(f7821,plain,
( spl578_277
<=> empty(sK16(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_277])]) ).
fof(f6259,plain,
( ~ reflexive_relstr(sK407)
| ~ rel_str(sK407)
| ~ empty(sK16(sK407))
| ~ transitive_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2281]) ).
fof(f2281,plain,
! [X0] :
( ~ transitive_relstr(X0)
| empty_carrier(X0)
| ~ reflexive_relstr(X0)
| ~ rel_str(X0)
| ~ empty(sK16(X0)) ),
inference(cnf_transformation,[],[f1594]) ).
fof(f1594,plain,
! [X0] :
( empty_carrier(X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| ? [X1] :
( element(X1,powerset(the_carrier(X0)))
& ~ empty(X1)
& directed_subset(X1,X0) ) ),
inference(flattening,[],[f1593]) ).
fof(f1593,plain,
! [X0] :
( ? [X1] :
( element(X1,powerset(the_carrier(X0)))
& ~ empty(X1)
& directed_subset(X1,X0) )
| empty_carrier(X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0) ),
inference(ennf_transformation,[],[f1169]) ).
fof(f1169,plain,
! [X0] :
( ( ~ empty_carrier(X0)
& rel_str(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0) )
=> ? [X1] :
( element(X1,powerset(the_carrier(X0)))
& ~ empty(X1)
& directed_subset(X1,X0) ) ),
inference(pure_predicate_removal,[],[f565]) ).
fof(f565,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& rel_str(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0) )
=> ? [X1] :
( lower_relstr_subset(X1,X0)
& directed_subset(X1,X0)
& element(X1,powerset(the_carrier(X0)))
& ~ empty(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc9_waybel_0) ).
fof(f7819,plain,
( ~ spl578_60
| spl578_90
| ~ spl578_61
| spl578_31 ),
inference(avatar_split_clause,[],[f6442,f6071,f6750,f6883,f6746]) ).
fof(f6442,plain,
( ~ boolean_relstr(sK407)
| upper_bounded_relstr(sK407)
| ~ rel_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3786]) ).
fof(f3786,plain,
! [X0] :
( empty_carrier(X0)
| ~ boolean_relstr(X0)
| ~ rel_str(X0)
| upper_bounded_relstr(X0) ),
inference(cnf_transformation,[],[f1731]) ).
fof(f7818,plain,
( ~ spl578_69
| spl578_276
| spl578_71
| spl578_31 ),
inference(avatar_split_clause,[],[f6592,f6071,f6792,f7816,f6785]) ).
fof(f7816,plain,
( spl578_276
<=> ! [X420] :
( ~ element(X420,the_carrier(sK407))
| meet(sK407,X420,sK482(sK407,X420)) != X420
| meet(sK407,sK482(sK407,X420),X420) != X420 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_276])]) ).
fof(f6592,plain,
( ! [X420] :
( lower_bounded_semilattstr(sK407)
| ~ element(X420,the_carrier(sK407))
| meet(sK407,sK482(sK407,X420),X420) != X420
| meet(sK407,X420,sK482(sK407,X420)) != X420
| ~ meet_semilatt_str(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f4652]) ).
fof(f4652,plain,
! [X0,X1] :
( empty_carrier(X0)
| meet(X0,X1,sK482(X0,X1)) != X1
| lower_bounded_semilattstr(X0)
| meet(X0,sK482(X0,X1),X1) != X1
| ~ element(X1,the_carrier(X0))
| ~ meet_semilatt_str(X0) ),
inference(cnf_transformation,[],[f1704]) ).
fof(f1704,plain,
! [X0] :
( empty_carrier(X0)
| ~ meet_semilatt_str(X0)
| ( lower_bounded_semilattstr(X0)
<=> ? [X1] :
( element(X1,the_carrier(X0))
& ! [X2] :
( ~ element(X2,the_carrier(X0))
| ( meet(X0,X1,X2) = X1
& meet(X0,X2,X1) = X1 ) ) ) ) ),
inference(flattening,[],[f1703]) ).
fof(f1703,plain,
! [X0] :
( ( lower_bounded_semilattstr(X0)
<=> ? [X1] :
( element(X1,the_carrier(X0))
& ! [X2] :
( ~ element(X2,the_carrier(X0))
| ( meet(X0,X1,X2) = X1
& meet(X0,X2,X1) = X1 ) ) ) )
| empty_carrier(X0)
| ~ meet_semilatt_str(X0) ),
inference(ennf_transformation,[],[f110]) ).
fof(f110,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& meet_semilatt_str(X0) )
=> ( ? [X1] :
( ! [X2] :
( element(X2,the_carrier(X0))
=> ( meet(X0,X1,X2) = X1
& meet(X0,X2,X1) = X1 ) )
& element(X1,the_carrier(X0)) )
<=> lower_bounded_semilattstr(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_lattices) ).
fof(f7814,plain,
( ~ spl578_43
| spl578_62
| ~ spl578_45
| ~ spl578_83
| spl578_31 ),
inference(avatar_split_clause,[],[f6627,f6071,f6846,f6684,f6755,f6676]) ).
fof(f6755,plain,
( spl578_62
<=> transitive_relstr(poset_of_lattice(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_62])]) ).
fof(f6627,plain,
( ~ upper_bounded_semilattstr(sK407)
| ~ lattice(sK407)
| transitive_relstr(poset_of_lattice(sK407))
| ~ latt_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f5067]) ).
fof(f5067,plain,
! [X0] :
( ~ lattice(X0)
| ~ latt_str(X0)
| transitive_relstr(poset_of_lattice(X0))
| empty_carrier(X0)
| ~ upper_bounded_semilattstr(X0) ),
inference(cnf_transformation,[],[f1481]) ).
fof(f7811,plain,
( ~ spl578_60
| ~ spl578_127
| spl578_31 ),
inference(avatar_split_clause,[],[f6624,f6071,f7065,f6746]) ).
fof(f7065,plain,
( spl578_127
<=> empty(cast_as_carrier_subset(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_127])]) ).
fof(f6624,plain,
( ~ empty(cast_as_carrier_subset(sK407))
| ~ rel_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f5064]) ).
fof(f5064,plain,
! [X0] :
( ~ rel_str(X0)
| empty_carrier(X0)
| ~ empty(cast_as_carrier_subset(X0)) ),
inference(cnf_transformation,[],[f1329]) ).
fof(f1329,plain,
! [X0] :
( empty_carrier(X0)
| ( upper_relstr_subset(cast_as_carrier_subset(X0),X0)
& ~ empty(cast_as_carrier_subset(X0)) )
| ~ rel_str(X0) ),
inference(flattening,[],[f1328]) ).
fof(f1328,plain,
! [X0] :
( ( upper_relstr_subset(cast_as_carrier_subset(X0),X0)
& ~ empty(cast_as_carrier_subset(X0)) )
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f1170]) ).
fof(f1170,plain,
! [X0] :
( ( rel_str(X0)
& ~ empty_carrier(X0) )
=> ( upper_relstr_subset(cast_as_carrier_subset(X0),X0)
& ~ empty(cast_as_carrier_subset(X0)) ) ),
inference(pure_predicate_removal,[],[f361]) ).
fof(f361,axiom,
! [X0] :
( ( rel_str(X0)
& ~ empty_carrier(X0) )
=> ( ~ empty(cast_as_carrier_subset(X0))
& upper_relstr_subset(cast_as_carrier_subset(X0),X0)
& lower_relstr_subset(cast_as_carrier_subset(X0),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc15_waybel_0) ).
fof(f7810,plain,
( ~ spl578_71
| ~ spl578_45
| ~ spl578_43
| spl578_186
| spl578_31 ),
inference(avatar_split_clause,[],[f6350,f6071,f7365,f6676,f6684,f6792]) ).
fof(f6350,plain,
( reflexive_relstr(poset_of_lattice(sK407))
| ~ latt_str(sK407)
| ~ lattice(sK407)
| ~ lower_bounded_semilattstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3114]) ).
fof(f3114,plain,
! [X0] :
( ~ lower_bounded_semilattstr(X0)
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ lattice(X0)
| reflexive_relstr(poset_of_lattice(X0)) ),
inference(cnf_transformation,[],[f2135]) ).
fof(f7809,plain,
( ~ spl578_45
| spl578_186
| ~ spl578_43
| spl578_31 ),
inference(avatar_split_clause,[],[f6505,f6071,f6676,f7365,f6684]) ).
fof(f6505,plain,
( ~ latt_str(sK407)
| reflexive_relstr(poset_of_lattice(sK407))
| ~ lattice(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3965]) ).
fof(f3965,plain,
! [X0] :
( empty_carrier(X0)
| ~ latt_str(X0)
| reflexive_relstr(poset_of_lattice(X0))
| ~ lattice(X0) ),
inference(cnf_transformation,[],[f2005]) ).
fof(f2005,plain,
! [X0] :
( ~ lattice(X0)
| ~ latt_str(X0)
| ( transitive_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0))
& reflexive_relstr(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0))
& rel_str(poset_of_lattice(X0)) )
| empty_carrier(X0) ),
inference(flattening,[],[f2004]) ).
fof(f2004,plain,
! [X0] :
( ( transitive_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0))
& reflexive_relstr(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0))
& rel_str(poset_of_lattice(X0)) )
| empty_carrier(X0)
| ~ latt_str(X0)
| ~ lattice(X0) ),
inference(ennf_transformation,[],[f274]) ).
fof(f274,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& latt_str(X0)
& lattice(X0) )
=> ( transitive_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0))
& reflexive_relstr(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0))
& rel_str(poset_of_lattice(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_lattice3) ).
fof(f7808,plain,
( ~ spl578_45
| ~ spl578_43
| spl578_275
| spl578_31 ),
inference(avatar_split_clause,[],[f6619,f6071,f7805,f6676,f6684]) ).
fof(f7805,plain,
( spl578_275
<=> transitive(k2_lattice3(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_275])]) ).
fof(f6619,plain,
( transitive(k2_lattice3(sK407))
| ~ latt_str(sK407)
| ~ lattice(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f5038]) ).
fof(f5038,plain,
! [X0] :
( ~ latt_str(X0)
| empty_carrier(X0)
| transitive(k2_lattice3(X0))
| ~ lattice(X0) ),
inference(cnf_transformation,[],[f2069]) ).
fof(f7803,plain,
( ~ spl578_43
| ~ spl578_71
| spl578_143
| ~ spl578_45
| spl578_31 ),
inference(avatar_split_clause,[],[f6349,f6071,f6684,f7137,f6792,f6676]) ).
fof(f7137,plain,
( spl578_143
<=> strict_rel_str(poset_of_lattice(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_143])]) ).
fof(f6349,plain,
( ~ lattice(sK407)
| strict_rel_str(poset_of_lattice(sK407))
| ~ lower_bounded_semilattstr(sK407)
| ~ latt_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3113]) ).
fof(f3113,plain,
! [X0] :
( ~ latt_str(X0)
| ~ lower_bounded_semilattstr(X0)
| strict_rel_str(poset_of_lattice(X0))
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f2135]) ).
fof(f7802,plain,
( spl578_274
| ~ spl578_47
| spl578_31 ),
inference(avatar_split_clause,[],[f6335,f6071,f6693,f7800]) ).
fof(f7800,plain,
( spl578_274
<=> ! [X82,X81] :
( empty_carrier(X81)
| ~ element(X82,the_carrier(X81))
| strict_net_str(netstr_restr_to_element(sK407,X81,X82),sK407)
| ~ net_str(X81,sK407) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_274])]) ).
fof(f6335,plain,
( ! [X82,X81] :
( ~ one_sorted_str(sK407)
| empty_carrier(X81)
| ~ net_str(X81,sK407)
| strict_net_str(netstr_restr_to_element(sK407,X81,X82),sK407)
| ~ element(X82,the_carrier(X81)) )
| spl578_31 ),
inference(resolution,[],[f6073,f2925]) ).
fof(f2925,plain,
! [X2,X0,X1] :
( strict_net_str(netstr_restr_to_element(X2,X1,X0),X2)
| ~ element(X0,the_carrier(X1))
| empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f1285]) ).
fof(f1285,plain,
! [X0,X1,X2] :
( ( net_str(netstr_restr_to_element(X2,X1,X0),X2)
& strict_net_str(netstr_restr_to_element(X2,X1,X0),X2) )
| empty_carrier(X1)
| ~ net_str(X1,X2)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ element(X0,the_carrier(X1)) ),
inference(flattening,[],[f1284]) ).
fof(f1284,plain,
! [X2,X0,X1] :
( ( net_str(netstr_restr_to_element(X2,X1,X0),X2)
& strict_net_str(netstr_restr_to_element(X2,X1,X0),X2) )
| ~ element(X0,the_carrier(X1))
| empty_carrier(X1)
| ~ one_sorted_str(X2)
| ~ net_str(X1,X2)
| empty_carrier(X2) ),
inference(ennf_transformation,[],[f1103]) ).
fof(f1103,plain,
! [X2,X0,X1] :
( ( element(X0,the_carrier(X1))
& ~ empty_carrier(X1)
& one_sorted_str(X2)
& net_str(X1,X2)
& ~ empty_carrier(X2) )
=> ( net_str(netstr_restr_to_element(X2,X1,X0),X2)
& strict_net_str(netstr_restr_to_element(X2,X1,X0),X2) ) ),
inference(rectify,[],[f299]) ).
fof(f299,axiom,
! [X2,X1,X0] :
( ( net_str(X1,X0)
& one_sorted_str(X0)
& element(X2,the_carrier(X1))
& ~ empty_carrier(X0)
& ~ empty_carrier(X1) )
=> ( strict_net_str(netstr_restr_to_element(X0,X1,X2),X0)
& net_str(netstr_restr_to_element(X0,X1,X2),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_waybel_9) ).
fof(f7798,plain,
( ~ spl578_69
| ~ spl578_55
| spl578_273
| spl578_31 ),
inference(avatar_split_clause,[],[f6339,f6071,f7796,f6726,f6785]) ).
fof(f6726,plain,
( spl578_55
<=> meet_commutative(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_55])]) ).
fof(f7796,plain,
( spl578_273
<=> ! [X88,X87] :
( ~ element(X87,the_carrier(sK407))
| meet_commut(sK407,X88,X87) = meet(sK407,X88,X87)
| ~ element(X88,the_carrier(sK407)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_273])]) ).
fof(f6339,plain,
( ! [X88,X87] :
( ~ element(X87,the_carrier(sK407))
| ~ element(X88,the_carrier(sK407))
| meet_commut(sK407,X88,X87) = meet(sK407,X88,X87)
| ~ meet_commutative(sK407)
| ~ meet_semilatt_str(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f3004]) ).
fof(f3004,plain,
! [X2,X0,X1] :
( ~ meet_commutative(X2)
| empty_carrier(X2)
| ~ element(X0,the_carrier(X2))
| ~ meet_semilatt_str(X2)
| meet(X2,X1,X0) = meet_commut(X2,X1,X0)
| ~ element(X1,the_carrier(X2)) ),
inference(cnf_transformation,[],[f1766]) ).
fof(f1766,plain,
! [X2,X0,X1] :
( meet(X2,X1,X0) = meet_commut(X2,X1,X0)
| ~ meet_semilatt_str(X2)
| ~ meet_commutative(X2)
| ~ element(X1,the_carrier(X2))
| empty_carrier(X2)
| ~ element(X0,the_carrier(X2)) ),
inference(flattening,[],[f1765]) ).
fof(f1765,plain,
! [X2,X1,X0] :
( meet(X2,X1,X0) = meet_commut(X2,X1,X0)
| ~ meet_commutative(X2)
| ~ element(X0,the_carrier(X2))
| empty_carrier(X2)
| ~ meet_semilatt_str(X2)
| ~ element(X1,the_carrier(X2)) ),
inference(ennf_transformation,[],[f1043]) ).
fof(f1043,plain,
! [X2,X1,X0] :
( ( meet_commutative(X2)
& element(X0,the_carrier(X2))
& ~ empty_carrier(X2)
& meet_semilatt_str(X2)
& element(X1,the_carrier(X2)) )
=> meet(X2,X1,X0) = meet_commut(X2,X1,X0) ),
inference(rectify,[],[f578]) ).
fof(f578,axiom,
! [X2,X1,X0] :
( ( element(X1,the_carrier(X0))
& meet_semilatt_str(X0)
& element(X2,the_carrier(X0))
& meet_commutative(X0)
& ~ empty_carrier(X0) )
=> meet_commut(X0,X1,X2) = meet(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_lattices) ).
fof(f7794,plain,
( ~ spl578_43
| ~ spl578_55
| spl578_272
| ~ spl578_57
| ~ spl578_58
| spl578_31 ),
inference(avatar_split_clause,[],[f6262,f6071,f6737,f6733,f7792,f6726,f6676]) ).
fof(f7792,plain,
( spl578_272
<=> ! [X6,X7] :
( below_refl(sK407,X6,X7)
| ~ below(sK407,X6,X7)
| ~ element(X6,the_carrier(sK407))
| ~ element(X7,the_carrier(sK407)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_272])]) ).
fof(f6733,plain,
( spl578_57
<=> join_absorbing(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_57])]) ).
fof(f6737,plain,
( spl578_58
<=> meet_absorbing(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_58])]) ).
fof(f6262,plain,
( ! [X6,X7] :
( ~ meet_absorbing(sK407)
| ~ join_absorbing(sK407)
| below_refl(sK407,X6,X7)
| ~ meet_commutative(sK407)
| ~ latt_str(sK407)
| ~ element(X7,the_carrier(sK407))
| ~ element(X6,the_carrier(sK407))
| ~ below(sK407,X6,X7) )
| spl578_31 ),
inference(resolution,[],[f6073,f2299]) ).
fof(f2299,plain,
! [X2,X0,X1] :
( below_refl(X0,X2,X1)
| ~ element(X1,the_carrier(X0))
| ~ join_absorbing(X0)
| ~ element(X2,the_carrier(X0))
| ~ meet_absorbing(X0)
| empty_carrier(X0)
| ~ latt_str(X0)
| ~ below(X0,X2,X1)
| ~ meet_commutative(X0) ),
inference(cnf_transformation,[],[f1334]) ).
fof(f1334,plain,
! [X1,X0,X2] :
( ~ latt_str(X0)
| ~ meet_commutative(X0)
| ( below(X0,X2,X1)
<=> below_refl(X0,X2,X1) )
| ~ element(X1,the_carrier(X0))
| ~ meet_absorbing(X0)
| empty_carrier(X0)
| ~ join_absorbing(X0)
| ~ element(X2,the_carrier(X0)) ),
inference(flattening,[],[f1333]) ).
fof(f1333,plain,
! [X0,X2,X1] :
( ( below(X0,X2,X1)
<=> below_refl(X0,X2,X1) )
| ~ element(X2,the_carrier(X0))
| empty_carrier(X0)
| ~ join_absorbing(X0)
| ~ meet_commutative(X0)
| ~ meet_absorbing(X0)
| ~ latt_str(X0)
| ~ element(X1,the_carrier(X0)) ),
inference(ennf_transformation,[],[f1080]) ).
fof(f1080,plain,
! [X0,X2,X1] :
( ( element(X2,the_carrier(X0))
& ~ empty_carrier(X0)
& join_absorbing(X0)
& meet_commutative(X0)
& meet_absorbing(X0)
& latt_str(X0)
& element(X1,the_carrier(X0)) )
=> ( below(X0,X2,X1)
<=> below_refl(X0,X2,X1) ) ),
inference(rectify,[],[f595]) ).
fof(f595,axiom,
! [X0,X2,X1] :
( ( element(X1,the_carrier(X0))
& element(X2,the_carrier(X0))
& meet_absorbing(X0)
& ~ empty_carrier(X0)
& join_absorbing(X0)
& latt_str(X0)
& meet_commutative(X0) )
=> ( below_refl(X0,X1,X2)
<=> below(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r3_lattices) ).
fof(f7790,plain,
( ~ spl578_47
| spl578_271
| spl578_31 ),
inference(avatar_split_clause,[],[f6635,f6071,f7788,f6693]) ).
fof(f7788,plain,
( spl578_271
<=> ! [X432,X433,X434] :
( ~ element(X434,the_carrier(X432))
| element(sK574(sK407,X432,X433,X434),the_carrier(X432))
| ~ is_often_in(sK407,X432,X433)
| ~ net_str(X432,sK407)
| empty_carrier(X432) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_271])]) ).
fof(f6635,plain,
( ! [X434,X433,X432] :
( ~ element(X434,the_carrier(X432))
| empty_carrier(X432)
| ~ net_str(X432,sK407)
| ~ one_sorted_str(sK407)
| ~ is_often_in(sK407,X432,X433)
| element(sK574(sK407,X432,X433,X434),the_carrier(X432)) )
| spl578_31 ),
inference(resolution,[],[f6073,f5163]) ).
fof(f5163,plain,
! [X2,X3,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ is_often_in(X0,X1,X2)
| element(sK574(X0,X1,X2,X3),the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| empty_carrier(X1)
| ~ net_str(X1,X0) ),
inference(cnf_transformation,[],[f1456]) ).
fof(f7786,plain,
( ~ spl578_47
| spl578_270
| spl578_31 ),
inference(avatar_split_clause,[],[f6418,f6071,f7784,f6693]) ).
fof(f7784,plain,
( spl578_270
<=> ! [X221,X220] :
( ~ net_str(X220,sK407)
| empty_carrier(X220)
| ~ directed_relstr(X220)
| ~ empty_carrier(X221)
| ~ transitive_relstr(X220)
| ~ subnet(X221,sK407,X220) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_270])]) ).
fof(f6418,plain,
( ! [X220,X221] :
( ~ net_str(X220,sK407)
| ~ subnet(X221,sK407,X220)
| ~ transitive_relstr(X220)
| ~ empty_carrier(X221)
| ~ directed_relstr(X220)
| ~ one_sorted_str(sK407)
| empty_carrier(X220) )
| spl578_31 ),
inference(resolution,[],[f6073,f3672]) ).
fof(f3672,plain,
! [X2,X0,X1] :
( ~ transitive_relstr(X0)
| ~ empty_carrier(X2)
| empty_carrier(X1)
| empty_carrier(X0)
| ~ net_str(X0,X1)
| ~ subnet(X2,X1,X0)
| ~ one_sorted_str(X1)
| ~ directed_relstr(X0) ),
inference(cnf_transformation,[],[f1930]) ).
fof(f7782,plain,
( ~ spl578_61
| ~ spl578_60
| spl578_64
| spl578_31 ),
inference(avatar_split_clause,[],[f6443,f6071,f6764,f6746,f6750]) ).
fof(f6443,plain,
( antisymmetric_relstr(sK407)
| ~ rel_str(sK407)
| ~ boolean_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3787]) ).
fof(f3787,plain,
! [X0] :
( ~ rel_str(X0)
| empty_carrier(X0)
| ~ boolean_relstr(X0)
| antisymmetric_relstr(X0) ),
inference(cnf_transformation,[],[f1731]) ).
fof(f7781,plain,
( spl578_269
| ~ spl578_60
| ~ spl578_63
| spl578_31 ),
inference(avatar_split_clause,[],[f6595,f6071,f6760,f6746,f7778]) ).
fof(f7778,plain,
( spl578_269
<=> element(sK491(sK407),powerset(the_carrier(sK407))) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_269])]) ).
fof(f6595,plain,
( ~ reflexive_relstr(sK407)
| ~ rel_str(sK407)
| element(sK491(sK407),powerset(the_carrier(sK407)))
| spl578_31 ),
inference(resolution,[],[f6073,f4699]) ).
fof(f4699,plain,
! [X0] :
( ~ rel_str(X0)
| empty_carrier(X0)
| ~ reflexive_relstr(X0)
| element(sK491(X0),powerset(the_carrier(X0))) ),
inference(cnf_transformation,[],[f1920]) ).
fof(f1920,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& filtered_subset(X1,X0)
& directed_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| empty_carrier(X0)
| ~ rel_str(X0)
| ~ reflexive_relstr(X0) ),
inference(flattening,[],[f1919]) ).
fof(f1919,plain,
! [X0] :
( ? [X1] :
( finite(X1)
& filtered_subset(X1,X0)
& directed_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0)
| empty_carrier(X0)
| ~ reflexive_relstr(X0) ),
inference(ennf_transformation,[],[f533]) ).
fof(f533,axiom,
! [X0] :
( ( rel_str(X0)
& ~ empty_carrier(X0)
& reflexive_relstr(X0) )
=> ? [X1] :
( finite(X1)
& filtered_subset(X1,X0)
& directed_subset(X1,X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_waybel_0) ).
fof(f7776,plain,
( spl578_268
| ~ spl578_60
| ~ spl578_63
| spl578_31 ),
inference(avatar_split_clause,[],[f6616,f6071,f6760,f6746,f7774]) ).
fof(f7774,plain,
( spl578_268
<=> ! [X429,X428] :
( ~ related_reflexive(sK407,X428,X429)
| ~ element(X429,the_carrier(sK407))
| ~ element(X428,the_carrier(sK407))
| related(sK407,X428,X429) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_268])]) ).
fof(f6616,plain,
( ! [X429,X428] :
( ~ reflexive_relstr(sK407)
| ~ rel_str(sK407)
| ~ related_reflexive(sK407,X428,X429)
| related(sK407,X428,X429)
| ~ element(X428,the_carrier(sK407))
| ~ element(X429,the_carrier(sK407)) )
| spl578_31 ),
inference(resolution,[],[f6073,f5029]) ).
fof(f5029,plain,
! [X2,X0,X1] :
( ~ related_reflexive(X1,X2,X0)
| empty_carrier(X1)
| ~ reflexive_relstr(X1)
| ~ element(X0,the_carrier(X1))
| related(X1,X2,X0)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1)) ),
inference(cnf_transformation,[],[f1877]) ).
fof(f1877,plain,
! [X1,X0,X2] :
( ~ reflexive_relstr(X1)
| ~ element(X0,the_carrier(X1))
| empty_carrier(X1)
| ~ element(X2,the_carrier(X1))
| ~ rel_str(X1)
| ( related(X1,X2,X0)
<=> related_reflexive(X1,X2,X0) ) ),
inference(flattening,[],[f1876]) ).
fof(f1876,plain,
! [X2,X1,X0] :
( ( related(X1,X2,X0)
<=> related_reflexive(X1,X2,X0) )
| ~ rel_str(X1)
| ~ reflexive_relstr(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X0,the_carrier(X1))
| empty_carrier(X1) ),
inference(ennf_transformation,[],[f1078]) ).
fof(f1078,plain,
! [X2,X1,X0] :
( ( rel_str(X1)
& reflexive_relstr(X1)
& element(X2,the_carrier(X1))
& element(X0,the_carrier(X1))
& ~ empty_carrier(X1) )
=> ( related(X1,X2,X0)
<=> related_reflexive(X1,X2,X0) ) ),
inference(rectify,[],[f596]) ).
fof(f596,axiom,
! [X2,X0,X1] :
( ( reflexive_relstr(X0)
& element(X2,the_carrier(X0))
& rel_str(X0)
& ~ empty_carrier(X0)
& element(X1,the_carrier(X0)) )
=> ( related(X0,X1,X2)
<=> related_reflexive(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r3_orders_2) ).
fof(f7772,plain,
( ~ spl578_61
| spl578_64
| ~ spl578_60
| spl578_31 ),
inference(avatar_split_clause,[],[f6281,f6071,f6746,f6764,f6750]) ).
fof(f6281,plain,
( ~ rel_str(sK407)
| antisymmetric_relstr(sK407)
| ~ boolean_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2434]) ).
fof(f2434,plain,
! [X0] :
( antisymmetric_relstr(X0)
| empty_carrier(X0)
| ~ boolean_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1699]) ).
fof(f7771,plain,
( ~ spl578_67
| ~ spl578_60
| spl578_267
| spl578_31 ),
inference(avatar_split_clause,[],[f6373,f6071,f7769,f6746,f6776]) ).
fof(f7769,plain,
( spl578_267
<=> ! [X130,X132,X131] :
( ~ element(X131,powerset(the_carrier(sK407)))
| ~ finite(X130)
| ~ element(X130,powerset(X131))
| ~ in(X132,sK248(X131,sK407,X130))
| relstr_set_smaller(sK407,sK250(X131,sK407),sK253(X131,sK407))
| sP251(X132,X130,sK407,X131) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_267])]) ).
fof(f6373,plain,
( ! [X132,X130,X131] :
( ~ element(X131,powerset(the_carrier(sK407)))
| sP251(X132,X130,sK407,X131)
| ~ rel_str(sK407)
| relstr_set_smaller(sK407,sK250(X131,sK407),sK253(X131,sK407))
| ~ in(X132,sK248(X131,sK407,X130))
| ~ transitive_relstr(sK407)
| ~ element(X130,powerset(X131))
| ~ finite(X130) )
| spl578_31 ),
inference(resolution,[],[f6073,f3438]) ).
fof(f3438,plain,
! [X2,X0,X11,X1] :
( ~ element(X2,powerset(X0))
| empty_carrier(X1)
| ~ finite(X2)
| relstr_set_smaller(X1,sK250(X0,X1),sK253(X0,X1))
| ~ in(X11,sK248(X0,X1,X2))
| ~ element(X0,powerset(the_carrier(X1)))
| sP251(X11,X2,X1,X0)
| ~ transitive_relstr(X1)
| ~ rel_str(X1) ),
inference(cnf_transformation,[],[f1999]) ).
fof(f7767,plain,
( spl578_266
| ~ spl578_60
| spl578_74
| spl578_31 ),
inference(avatar_split_clause,[],[f6440,f6071,f6806,f6746,f7764]) ).
fof(f7764,plain,
( spl578_266
<=> element(sK312(sK407),the_carrier(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_266])]) ).
fof(f6440,plain,
( directed_relstr(sK407)
| ~ rel_str(sK407)
| element(sK312(sK407),the_carrier(sK407))
| spl578_31 ),
inference(resolution,[],[f6073,f3777]) ).
fof(f3777,plain,
! [X0] :
( directed_relstr(X0)
| element(sK312(X0),the_carrier(X0))
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1817]) ).
fof(f7762,plain,
( ~ spl578_67
| ~ spl578_74
| spl578_265
| spl578_31 ),
inference(avatar_split_clause,[],[f6476,f6071,f7760,f6806,f6776]) ).
fof(f7760,plain,
( spl578_265
<=> ! [X311,X309,X310] :
( ~ relation_of2_as_subset(X309,the_carrier(sK407),the_carrier(X310))
| ~ net_str(sK407,X311)
| ~ transitive_relstr(X310)
| element(sK323(X310,sK407,X309),the_carrier(X310))
| ~ function(X309)
| ~ directed_relstr(X310)
| ~ one_sorted_str(X311)
| subnet(sK407,X311,X310)
| function_of_composition(the_carrier(sK407),the_carrier(X310),the_carrier(X311),X309,the_mapping(X311,X310)) != the_mapping(X311,sK407)
| empty_carrier(X311)
| ~ net_str(X310,X311)
| empty_carrier(X310)
| ~ quasi_total(X309,the_carrier(sK407),the_carrier(X310)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_265])]) ).
fof(f6476,plain,
( ! [X310,X309,X311] :
( ~ relation_of2_as_subset(X309,the_carrier(sK407),the_carrier(X310))
| ~ directed_relstr(sK407)
| ~ quasi_total(X309,the_carrier(sK407),the_carrier(X310))
| ~ transitive_relstr(sK407)
| empty_carrier(X310)
| ~ net_str(X310,X311)
| empty_carrier(X311)
| function_of_composition(the_carrier(sK407),the_carrier(X310),the_carrier(X311),X309,the_mapping(X311,X310)) != the_mapping(X311,sK407)
| subnet(sK407,X311,X310)
| ~ one_sorted_str(X311)
| ~ directed_relstr(X310)
| ~ function(X309)
| element(sK323(X310,sK407,X309),the_carrier(X310))
| ~ transitive_relstr(X310)
| ~ net_str(sK407,X311) )
| spl578_31 ),
inference(resolution,[],[f6073,f3851]) ).
fof(f7758,plain,
( ~ spl578_43
| ~ spl578_45
| spl578_264
| spl578_31 ),
inference(avatar_split_clause,[],[f6618,f6071,f7755,f6684,f6676]) ).
fof(f7755,plain,
( spl578_264
<=> antisymmetric(k2_lattice3(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_264])]) ).
fof(f6618,plain,
( antisymmetric(k2_lattice3(sK407))
| ~ lattice(sK407)
| ~ latt_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f5037]) ).
fof(f5037,plain,
! [X0] :
( ~ latt_str(X0)
| empty_carrier(X0)
| antisymmetric(k2_lattice3(X0))
| ~ lattice(X0) ),
inference(cnf_transformation,[],[f2069]) ).
fof(f7753,plain,
( ~ spl578_74
| spl578_263
| spl578_31 ),
inference(avatar_split_clause,[],[f6425,f6071,f7751,f6806]) ).
fof(f7751,plain,
( spl578_263
<=> ! [X229,X228] :
( ~ empty_carrier(netstr_restr_to_element(X228,sK407,X229))
| ~ one_sorted_str(X228)
| empty_carrier(X228)
| ~ element(X229,the_carrier(sK407))
| ~ net_str(sK407,X228) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_263])]) ).
fof(f6425,plain,
( ! [X228,X229] :
( ~ empty_carrier(netstr_restr_to_element(X228,sK407,X229))
| ~ net_str(sK407,X228)
| ~ element(X229,the_carrier(sK407))
| empty_carrier(X228)
| ~ directed_relstr(sK407)
| ~ one_sorted_str(X228) )
| spl578_31 ),
inference(resolution,[],[f6073,f3700]) ).
fof(f7749,plain,
( ~ spl578_43
| spl578_262
| spl578_31 ),
inference(avatar_split_clause,[],[f6671,f6071,f7747,f6676]) ).
fof(f7747,plain,
( spl578_262
<=> ! [X522,X523] :
( in(X522,a_2_2_lattice3(sK407,X523))
| ~ latt_set_smaller(sK407,X522,X523)
| ~ element(X522,the_carrier(sK407)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_262])]) ).
fof(f6671,plain,
( ! [X522,X523] :
( in(X522,a_2_2_lattice3(sK407,X523))
| ~ element(X522,the_carrier(sK407))
| ~ latt_set_smaller(sK407,X522,X523)
| ~ latt_str(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f5376]) ).
fof(f5376,plain,
! [X3,X0,X1] :
( empty_carrier(X1)
| ~ element(X3,the_carrier(X1))
| ~ latt_set_smaller(X1,X3,X0)
| ~ latt_str(X1)
| in(X3,a_2_2_lattice3(X1,X0)) ),
inference(equality_resolution,[],[f3934]) ).
fof(f3934,plain,
! [X2,X3,X0,X1] :
( ~ element(X3,the_carrier(X1))
| X2 != X3
| ~ latt_set_smaller(X1,X3,X0)
| in(X2,a_2_2_lattice3(X1,X0))
| empty_carrier(X1)
| ~ latt_str(X1) ),
inference(cnf_transformation,[],[f1722]) ).
fof(f1722,plain,
! [X2,X0,X1] :
( ~ latt_str(X1)
| empty_carrier(X1)
| ( in(X2,a_2_2_lattice3(X1,X0))
<=> ? [X3] :
( latt_set_smaller(X1,X3,X0)
& X2 = X3
& element(X3,the_carrier(X1)) ) ) ),
inference(flattening,[],[f1721]) ).
fof(f1721,plain,
! [X2,X0,X1] :
( ( in(X2,a_2_2_lattice3(X1,X0))
<=> ? [X3] :
( latt_set_smaller(X1,X3,X0)
& X2 = X3
& element(X3,the_carrier(X1)) ) )
| empty_carrier(X1)
| ~ latt_str(X1) ),
inference(ennf_transformation,[],[f1152]) ).
fof(f1152,plain,
! [X2,X0,X1] :
( ( ~ empty_carrier(X1)
& latt_str(X1) )
=> ( in(X2,a_2_2_lattice3(X1,X0))
<=> ? [X3] :
( latt_set_smaller(X1,X3,X0)
& X2 = X3
& element(X3,the_carrier(X1)) ) ) ),
inference(rectify,[],[f459]) ).
fof(f459,axiom,
! [X2,X1,X0] :
( ( ~ empty_carrier(X1)
& latt_str(X1) )
=> ( ? [X3] :
( latt_set_smaller(X1,X3,X2)
& X0 = X3
& element(X3,the_carrier(X1)) )
<=> in(X0,a_2_2_lattice3(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_2_2_lattice3) ).
fof(f7745,plain,
( ~ spl578_261
| ~ spl578_47
| spl578_31 ),
inference(avatar_split_clause,[],[f6634,f6071,f6693,f7742]) ).
fof(f6634,plain,
( ~ one_sorted_str(sK407)
| ~ empty(the_carrier(sK407))
| spl578_31 ),
inference(resolution,[],[f6073,f5080]) ).
fof(f5080,plain,
! [X0] :
( ~ one_sorted_str(X0)
| ~ empty(the_carrier(X0))
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f2003]) ).
fof(f2003,plain,
! [X0] :
( ( empty_carrier(X0)
<=> empty(the_carrier(X0)) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f138]) ).
fof(f138,axiom,
! [X0] :
( one_sorted_str(X0)
=> ( empty_carrier(X0)
<=> empty(the_carrier(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_struct_0) ).
fof(f7740,plain,
( ~ spl578_47
| spl578_260
| spl578_31 ),
inference(avatar_split_clause,[],[f6312,f6071,f7738,f6693]) ).
fof(f7738,plain,
( spl578_260
<=> ! [X38,X40,X39] :
( ~ element(X39,the_carrier(X38))
| related(X38,X39,sK121(X38,X39,X40))
| ~ strict_net_str(X40,sK407)
| empty_carrier(X38)
| netstr_restr_to_element(sK407,X38,X39) = X40
| in(sK120(X38,X39,X40),the_carrier(X40))
| relation_restriction_as_relation_of(the_InternalRel(X38),the_carrier(X40)) != the_InternalRel(X40)
| ~ net_str(X40,sK407)
| partfun_dom_restriction(the_carrier(X38),the_carrier(sK407),the_mapping(sK407,X38),the_carrier(X40)) != the_mapping(sK407,X40)
| ~ net_str(X38,sK407) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_260])]) ).
fof(f6312,plain,
( ! [X40,X38,X39] :
( ~ element(X39,the_carrier(X38))
| ~ net_str(X38,sK407)
| partfun_dom_restriction(the_carrier(X38),the_carrier(sK407),the_mapping(sK407,X38),the_carrier(X40)) != the_mapping(sK407,X40)
| ~ net_str(X40,sK407)
| relation_restriction_as_relation_of(the_InternalRel(X38),the_carrier(X40)) != the_InternalRel(X40)
| in(sK120(X38,X39,X40),the_carrier(X40))
| netstr_restr_to_element(sK407,X38,X39) = X40
| ~ one_sorted_str(sK407)
| empty_carrier(X38)
| ~ strict_net_str(X40,sK407)
| related(X38,X39,sK121(X38,X39,X40)) )
| spl578_31 ),
inference(resolution,[],[f6073,f2863]) ).
fof(f2863,plain,
! [X2,X3,X0,X1] :
( ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| in(sK120(X1,X2,X3),the_carrier(X3))
| ~ strict_net_str(X3,X0)
| the_InternalRel(X3) != relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(X3))
| ~ net_str(X3,X0)
| related(X1,X2,sK121(X1,X2,X3))
| the_mapping(X0,X3) != partfun_dom_restriction(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X3))
| ~ element(X2,the_carrier(X1))
| netstr_restr_to_element(X0,X1,X2) = X3 ),
inference(cnf_transformation,[],[f1613]) ).
fof(f7736,plain,
( spl578_259
| ~ spl578_63
| ~ spl578_60
| spl578_31 ),
inference(avatar_split_clause,[],[f6597,f6071,f6746,f6760,f7733]) ).
fof(f7733,plain,
( spl578_259
<=> directed_subset(sK491(sK407),sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_259])]) ).
fof(f6597,plain,
( ~ rel_str(sK407)
| ~ reflexive_relstr(sK407)
| directed_subset(sK491(sK407),sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4701]) ).
fof(f4701,plain,
! [X0] :
( empty_carrier(X0)
| directed_subset(sK491(X0),X0)
| ~ reflexive_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1920]) ).
fof(f7731,plain,
( ~ spl578_74
| ~ spl578_67
| spl578_258
| spl578_31 ),
inference(avatar_split_clause,[],[f6469,f6071,f7729,f6776,f6806]) ).
fof(f7729,plain,
( spl578_258
<=> ! [X289,X288,X286,X287] :
( empty_carrier(X287)
| ~ one_sorted_str(X287)
| ~ net_str(X286,X287)
| ~ transitive_relstr(X286)
| ~ related(X286,sK324(X287,sK407,X286,X288),X289)
| ~ element(X289,the_carrier(X286))
| ~ element(X288,the_carrier(sK407))
| ~ subnet(X286,X287,sK407)
| related(sK407,X288,apply_on_set_and_struct(the_carrier(X286),sK407,sK322(X287,sK407,X286),X289))
| ~ net_str(sK407,X287)
| ~ directed_relstr(X286)
| empty_carrier(X286) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_258])]) ).
fof(f6469,plain,
( ! [X289,X287,X288,X286] :
( empty_carrier(X287)
| ~ transitive_relstr(sK407)
| ~ directed_relstr(X286)
| empty_carrier(X286)
| ~ net_str(sK407,X287)
| related(sK407,X288,apply_on_set_and_struct(the_carrier(X286),sK407,sK322(X287,sK407,X286),X289))
| ~ subnet(X286,X287,sK407)
| ~ directed_relstr(sK407)
| ~ element(X288,the_carrier(sK407))
| ~ element(X289,the_carrier(X286))
| ~ related(X286,sK324(X287,sK407,X286,X288),X289)
| ~ transitive_relstr(X286)
| ~ net_str(X286,X287)
| ~ one_sorted_str(X287) )
| spl578_31 ),
inference(resolution,[],[f6073,f3849]) ).
fof(f3849,plain,
! [X2,X0,X1,X6,X4] :
( empty_carrier(X2)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ transitive_relstr(X2)
| ~ one_sorted_str(X0)
| ~ element(X4,the_carrier(X1))
| ~ directed_relstr(X1)
| ~ related(X2,sK324(X0,X1,X2,X4),X6)
| empty_carrier(X0)
| related(X1,X4,apply_on_set_and_struct(the_carrier(X2),X1,sK322(X0,X1,X2),X6))
| ~ directed_relstr(X2)
| ~ net_str(X2,X0)
| ~ net_str(X1,X0)
| ~ element(X6,the_carrier(X2))
| ~ subnet(X2,X0,X1) ),
inference(cnf_transformation,[],[f1785]) ).
fof(f7727,plain,
( ~ spl578_90
| ~ spl578_91
| ~ spl578_66
| ~ spl578_67
| ~ spl578_60
| ~ spl578_64
| spl578_132
| ~ spl578_63
| spl578_31 ),
inference(avatar_split_clause,[],[f6430,f6071,f6760,f7088,f6764,f6746,f6776,f6772,f6887,f6883]) ).
fof(f6430,plain,
( ~ reflexive_relstr(sK407)
| with_infima_relstr(sK407)
| ~ antisymmetric_relstr(sK407)
| ~ rel_str(sK407)
| ~ transitive_relstr(sK407)
| ~ up_complete_relstr(sK407)
| ~ join_complete_relstr(sK407)
| ~ upper_bounded_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3733]) ).
fof(f3733,plain,
! [X0] :
( ~ antisymmetric_relstr(X0)
| ~ reflexive_relstr(X0)
| ~ join_complete_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0)
| ~ upper_bounded_relstr(X0)
| with_infima_relstr(X0)
| ~ up_complete_relstr(X0)
| ~ transitive_relstr(X0) ),
inference(cnf_transformation,[],[f2179]) ).
fof(f7726,plain,
( ~ spl578_64
| ~ spl578_63
| spl578_61
| ~ spl578_94
| ~ spl578_132
| ~ spl578_60
| ~ spl578_65
| ~ spl578_123
| ~ spl578_152
| ~ spl578_67
| spl578_31 ),
inference(avatar_split_clause,[],[f6311,f6071,f6776,f7184,f7048,f6768,f6746,f7088,f6901,f6750,f6760,f6764]) ).
fof(f7048,plain,
( spl578_123
<=> complemented_relstr(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_123])]) ).
fof(f7184,plain,
( spl578_152
<=> distributive_relstr(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_152])]) ).
fof(f6311,plain,
( ~ transitive_relstr(sK407)
| ~ distributive_relstr(sK407)
| ~ complemented_relstr(sK407)
| ~ bounded_relstr(sK407)
| ~ rel_str(sK407)
| ~ with_infima_relstr(sK407)
| ~ with_suprema_relstr(sK407)
| boolean_relstr(sK407)
| ~ reflexive_relstr(sK407)
| ~ antisymmetric_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2814]) ).
fof(f2814,plain,
! [X0] :
( ~ distributive_relstr(X0)
| ~ transitive_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0)
| ~ with_suprema_relstr(X0)
| ~ bounded_relstr(X0)
| ~ reflexive_relstr(X0)
| boolean_relstr(X0)
| ~ with_infima_relstr(X0)
| empty_carrier(X0)
| ~ complemented_relstr(X0) ),
inference(cnf_transformation,[],[f1249]) ).
fof(f1249,plain,
! [X0] :
( ( distributive_relstr(X0)
& reflexive_relstr(X0)
& bounded_relstr(X0)
& with_infima_relstr(X0)
& antisymmetric_relstr(X0)
& boolean_relstr(X0)
& complemented_relstr(X0)
& with_suprema_relstr(X0)
& transitive_relstr(X0)
& upper_bounded_relstr(X0)
& ~ empty_carrier(X0)
& lower_bounded_relstr(X0) )
| ~ complemented_relstr(X0)
| ~ with_infima_relstr(X0)
| ~ bounded_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0)
| ~ distributive_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ transitive_relstr(X0) ),
inference(flattening,[],[f1248]) ).
fof(f1248,plain,
! [X0] :
( ( distributive_relstr(X0)
& reflexive_relstr(X0)
& bounded_relstr(X0)
& with_infima_relstr(X0)
& antisymmetric_relstr(X0)
& boolean_relstr(X0)
& complemented_relstr(X0)
& with_suprema_relstr(X0)
& transitive_relstr(X0)
& upper_bounded_relstr(X0)
& ~ empty_carrier(X0)
& lower_bounded_relstr(X0) )
| empty_carrier(X0)
| ~ bounded_relstr(X0)
| ~ with_infima_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ complemented_relstr(X0)
| ~ reflexive_relstr(X0)
| ~ distributive_relstr(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,axiom,
! [X0] :
( rel_str(X0)
=> ( ( ~ empty_carrier(X0)
& bounded_relstr(X0)
& with_infima_relstr(X0)
& antisymmetric_relstr(X0)
& with_suprema_relstr(X0)
& complemented_relstr(X0)
& reflexive_relstr(X0)
& distributive_relstr(X0)
& transitive_relstr(X0) )
=> ( distributive_relstr(X0)
& reflexive_relstr(X0)
& bounded_relstr(X0)
& with_infima_relstr(X0)
& antisymmetric_relstr(X0)
& boolean_relstr(X0)
& complemented_relstr(X0)
& with_suprema_relstr(X0)
& transitive_relstr(X0)
& upper_bounded_relstr(X0)
& ~ empty_carrier(X0)
& lower_bounded_relstr(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc9_waybel_1) ).
fof(f7725,plain,
( ~ spl578_47
| spl578_257
| spl578_31 ),
inference(avatar_split_clause,[],[f6471,f6071,f7723,f6693]) ).
fof(f7723,plain,
( spl578_257
<=> ! [X296,X295,X294] :
( empty_carrier(X294)
| ~ element(X296,the_carrier(X294))
| ~ net_str(X295,sK407)
| ~ net_str(X294,sK407)
| empty_carrier(X295)
| ~ directed_relstr(X295)
| ~ transitive_relstr(X294)
| ~ directed_relstr(X294)
| ~ subnet(X295,sK407,X294)
| element(sK324(sK407,X294,X295,X296),the_carrier(X295))
| ~ transitive_relstr(X295) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_257])]) ).
fof(f6471,plain,
( ! [X295,X294,X296] :
( empty_carrier(X294)
| ~ transitive_relstr(X295)
| element(sK324(sK407,X294,X295,X296),the_carrier(X295))
| ~ subnet(X295,sK407,X294)
| ~ directed_relstr(X294)
| ~ transitive_relstr(X294)
| ~ directed_relstr(X295)
| empty_carrier(X295)
| ~ net_str(X294,sK407)
| ~ one_sorted_str(sK407)
| ~ net_str(X295,sK407)
| ~ element(X296,the_carrier(X294)) )
| spl578_31 ),
inference(resolution,[],[f6073,f3850]) ).
fof(f3850,plain,
! [X2,X0,X1,X4] :
( empty_carrier(X1)
| ~ net_str(X2,X0)
| ~ directed_relstr(X2)
| empty_carrier(X0)
| ~ directed_relstr(X1)
| ~ element(X4,the_carrier(X1))
| empty_carrier(X2)
| element(sK324(X0,X1,X2,X4),the_carrier(X2))
| ~ one_sorted_str(X0)
| ~ transitive_relstr(X1)
| ~ transitive_relstr(X2)
| ~ subnet(X2,X0,X1)
| ~ net_str(X1,X0) ),
inference(cnf_transformation,[],[f1785]) ).
fof(f7721,plain,
( spl578_256
| ~ spl578_47
| spl578_31 ),
inference(avatar_split_clause,[],[f6468,f6071,f6693,f7719]) ).
fof(f7719,plain,
( spl578_256
<=> ! [X284,X285,X283,X282] :
( ~ related(X282,sK324(sK407,X283,X282,X284),X285)
| ~ directed_relstr(X282)
| empty_carrier(X283)
| ~ directed_relstr(X283)
| ~ element(X284,the_carrier(X283))
| empty_carrier(X282)
| ~ element(X285,the_carrier(X282))
| ~ net_str(X282,sK407)
| ~ transitive_relstr(X283)
| ~ transitive_relstr(X282)
| ~ subnet(X282,sK407,X283)
| ~ net_str(X283,sK407)
| related(X283,X284,apply_on_set_and_struct(the_carrier(X282),X283,sK322(sK407,X283,X282),X285)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_256])]) ).
fof(f6468,plain,
( ! [X283,X282,X285,X284] :
( ~ one_sorted_str(sK407)
| ~ related(X282,sK324(sK407,X283,X282,X284),X285)
| related(X283,X284,apply_on_set_and_struct(the_carrier(X282),X283,sK322(sK407,X283,X282),X285))
| ~ net_str(X283,sK407)
| ~ subnet(X282,sK407,X283)
| ~ transitive_relstr(X282)
| ~ transitive_relstr(X283)
| ~ net_str(X282,sK407)
| ~ element(X285,the_carrier(X282))
| empty_carrier(X282)
| ~ element(X284,the_carrier(X283))
| ~ directed_relstr(X283)
| empty_carrier(X283)
| ~ directed_relstr(X282) )
| spl578_31 ),
inference(resolution,[],[f6073,f3849]) ).
fof(f7715,plain,
( ~ spl578_171
| spl578_255
| spl578_31 ),
inference(avatar_split_clause,[],[f6285,f6071,f7713,f7281]) ).
fof(f7713,plain,
( spl578_255
<=> ! [X13,X14] :
( ~ element(X14,the_carrier(sK407))
| ~ element(X13,the_carrier(sK407))
| element(join(sK407,X13,X14),the_carrier(sK407)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_255])]) ).
fof(f6285,plain,
( ! [X14,X13] :
( ~ element(X14,the_carrier(sK407))
| ~ join_semilatt_str(sK407)
| ~ element(X13,the_carrier(sK407))
| element(join(sK407,X13,X14),the_carrier(sK407)) )
| spl578_31 ),
inference(resolution,[],[f6073,f2456]) ).
fof(f2456,plain,
! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| element(join(X1,X0,X2),the_carrier(X1))
| ~ join_semilatt_str(X1)
| ~ element(X2,the_carrier(X1))
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f1375]) ).
fof(f1375,plain,
! [X1,X2,X0] :
( ~ join_semilatt_str(X1)
| element(join(X1,X0,X2),the_carrier(X1))
| ~ element(X0,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| empty_carrier(X1) ),
inference(flattening,[],[f1374]) ).
fof(f1374,plain,
! [X1,X0,X2] :
( element(join(X1,X0,X2),the_carrier(X1))
| empty_carrier(X1)
| ~ join_semilatt_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X0,the_carrier(X1)) ),
inference(ennf_transformation,[],[f1044]) ).
fof(f1044,plain,
! [X1,X0,X2] :
( ( ~ empty_carrier(X1)
& join_semilatt_str(X1)
& element(X2,the_carrier(X1))
& element(X0,the_carrier(X1)) )
=> element(join(X1,X0,X2),the_carrier(X1)) ),
inference(rectify,[],[f240]) ).
fof(f240,axiom,
! [X1,X0,X2] :
( ( element(X1,the_carrier(X0))
& ~ empty_carrier(X0)
& join_semilatt_str(X0)
& element(X2,the_carrier(X0)) )
=> element(join(X0,X1,X2),the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattices) ).
fof(f7711,plain,
( ~ spl578_47
| spl578_254
| spl578_31 ),
inference(avatar_split_clause,[],[f6293,f6071,f7709,f6693]) ).
fof(f7709,plain,
( spl578_254
<=> ! [X18,X19] :
( element(apply_netmap(sK407,X18,X19),the_carrier(sK407))
| empty_carrier(X18)
| ~ net_str(X18,sK407)
| ~ element(X19,the_carrier(X18)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_254])]) ).
fof(f6293,plain,
( ! [X18,X19] :
( element(apply_netmap(sK407,X18,X19),the_carrier(sK407))
| ~ one_sorted_str(sK407)
| ~ element(X19,the_carrier(X18))
| ~ net_str(X18,sK407)
| empty_carrier(X18) )
| spl578_31 ),
inference(resolution,[],[f6073,f2680]) ).
fof(f2680,plain,
! [X2,X0,X1] :
( empty_carrier(X0)
| ~ net_str(X0,X1)
| empty_carrier(X1)
| ~ element(X2,the_carrier(X0))
| element(apply_netmap(X1,X0,X2),the_carrier(X1))
| ~ one_sorted_str(X1) ),
inference(cnf_transformation,[],[f1354]) ).
fof(f1354,plain,
! [X0,X2,X1] :
( ~ net_str(X0,X1)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| element(apply_netmap(X1,X0,X2),the_carrier(X1))
| ~ element(X2,the_carrier(X0))
| empty_carrier(X0) ),
inference(flattening,[],[f1353]) ).
fof(f1353,plain,
! [X0,X1,X2] :
( element(apply_netmap(X1,X0,X2),the_carrier(X1))
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ element(X2,the_carrier(X0))
| empty_carrier(X0)
| ~ net_str(X0,X1) ),
inference(ennf_transformation,[],[f1116]) ).
fof(f1116,plain,
! [X0,X1,X2] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1)
& element(X2,the_carrier(X0))
& ~ empty_carrier(X0)
& net_str(X0,X1) )
=> element(apply_netmap(X1,X0,X2),the_carrier(X1)) ),
inference(rectify,[],[f279]) ).
fof(f279,axiom,
! [X1,X0,X2] :
( ( net_str(X1,X0)
& ~ empty_carrier(X0)
& ~ empty_carrier(X1)
& element(X2,the_carrier(X1))
& one_sorted_str(X0) )
=> element(apply_netmap(X0,X1,X2),the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_waybel_0) ).
fof(f7707,plain,
( ~ spl578_47
| ~ spl578_127
| spl578_31 ),
inference(avatar_split_clause,[],[f6318,f6071,f7065,f6693]) ).
fof(f6318,plain,
( ~ empty(cast_as_carrier_subset(sK407))
| ~ one_sorted_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2870]) ).
fof(f2870,plain,
! [X0] :
( empty_carrier(X0)
| ~ empty(cast_as_carrier_subset(X0))
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f1901]) ).
fof(f1901,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f1900]) ).
fof(f1900,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f394]) ).
fof(f394,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ~ empty(cast_as_carrier_subset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_pre_topc) ).
fof(f7706,plain,
( spl578_253
| ~ spl578_43
| spl578_31 ),
inference(avatar_split_clause,[],[f6497,f6071,f6676,f7704]) ).
fof(f7704,plain,
( spl578_253
<=> ! [X343,X342] :
( ~ in(X343,a_2_2_lattice3(sK407,X342))
| sK336(X342,sK407,X343) = X343 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_253])]) ).
fof(f6497,plain,
( ! [X343,X342] :
( ~ latt_str(sK407)
| ~ in(X343,a_2_2_lattice3(sK407,X342))
| sK336(X342,sK407,X343) = X343 )
| spl578_31 ),
inference(resolution,[],[f6073,f3932]) ).
fof(f3932,plain,
! [X2,X0,X1] :
( empty_carrier(X1)
| sK336(X0,X1,X2) = X2
| ~ latt_str(X1)
| ~ in(X2,a_2_2_lattice3(X1,X0)) ),
inference(cnf_transformation,[],[f1722]) ).
fof(f7702,plain,
( ~ spl578_47
| spl578_252
| spl578_31 ),
inference(avatar_split_clause,[],[f6359,f6071,f7700,f6693]) ).
fof(f7700,plain,
( spl578_252
<=> ! [X100,X98,X99] :
( empty_carrier(X99)
| ~ element(X100,the_carrier(X99))
| sK178(X99,X98,X100) = X98
| ~ in(X98,a_3_0_waybel_9(sK407,X99,X100))
| ~ net_str(X99,sK407) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_252])]) ).
fof(f6359,plain,
( ! [X98,X99,X100] :
( empty_carrier(X99)
| ~ net_str(X99,sK407)
| ~ in(X98,a_3_0_waybel_9(sK407,X99,X100))
| sK178(X99,X98,X100) = X98
| ~ one_sorted_str(sK407)
| ~ element(X100,the_carrier(X99)) )
| spl578_31 ),
inference(resolution,[],[f6073,f3136]) ).
fof(f3136,plain,
! [X2,X3,X0,X1] :
( ~ in(X1,a_3_0_waybel_9(X2,X0,X3))
| empty_carrier(X0)
| empty_carrier(X2)
| sK178(X0,X1,X3) = X1
| ~ net_str(X0,X2)
| ~ one_sorted_str(X2)
| ~ element(X3,the_carrier(X0)) ),
inference(cnf_transformation,[],[f1947]) ).
fof(f7698,plain,
( ~ spl578_47
| spl578_251
| spl578_31 ),
inference(avatar_split_clause,[],[f6357,f6071,f7696,f6693]) ).
fof(f7696,plain,
( spl578_251
<=> ! [X93,X92,X94] :
( element(sK178(X92,X93,X94),the_carrier(X92))
| empty_carrier(X92)
| ~ net_str(X92,sK407)
| ~ in(X93,a_3_0_waybel_9(sK407,X92,X94))
| ~ element(X94,the_carrier(X92)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_251])]) ).
fof(f6357,plain,
( ! [X94,X92,X93] :
( element(sK178(X92,X93,X94),the_carrier(X92))
| ~ element(X94,the_carrier(X92))
| ~ in(X93,a_3_0_waybel_9(sK407,X92,X94))
| ~ one_sorted_str(sK407)
| ~ net_str(X92,sK407)
| empty_carrier(X92) )
| spl578_31 ),
inference(resolution,[],[f6073,f3135]) ).
fof(f3135,plain,
! [X2,X3,X0,X1] :
( ~ one_sorted_str(X2)
| empty_carrier(X0)
| ~ in(X1,a_3_0_waybel_9(X2,X0,X3))
| ~ net_str(X0,X2)
| empty_carrier(X2)
| ~ element(X3,the_carrier(X0))
| element(sK178(X0,X1,X3),the_carrier(X0)) ),
inference(cnf_transformation,[],[f1947]) ).
fof(f7694,plain,
( spl578_65
| ~ spl578_61
| ~ spl578_60
| spl578_31 ),
inference(avatar_split_clause,[],[f6278,f6071,f6746,f6750,f6768]) ).
fof(f6278,plain,
( ~ rel_str(sK407)
| ~ boolean_relstr(sK407)
| bounded_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2431]) ).
fof(f2431,plain,
! [X0] :
( ~ rel_str(X0)
| bounded_relstr(X0)
| empty_carrier(X0)
| ~ boolean_relstr(X0) ),
inference(cnf_transformation,[],[f1699]) ).
fof(f7693,plain,
( ~ spl578_47
| spl578_250
| spl578_31 ),
inference(avatar_split_clause,[],[f6301,f6071,f7691,f6693]) ).
fof(f7691,plain,
( spl578_250
<=> ! [X22,X20,X21] :
( ~ element(X22,the_carrier(sK407))
| ~ function(X21)
| element(apply_on_structs(sK407,X20,X21,X22),the_carrier(X20))
| ~ relation_of2(X21,the_carrier(sK407),the_carrier(X20))
| ~ quasi_total(X21,the_carrier(sK407),the_carrier(X20))
| ~ one_sorted_str(X20)
| empty_carrier(X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_250])]) ).
fof(f6301,plain,
( ! [X21,X22,X20] :
( ~ element(X22,the_carrier(sK407))
| ~ relation_of2(X21,the_carrier(sK407),the_carrier(X20))
| empty_carrier(X20)
| ~ one_sorted_str(X20)
| ~ one_sorted_str(sK407)
| ~ quasi_total(X21,the_carrier(sK407),the_carrier(X20))
| element(apply_on_structs(sK407,X20,X21,X22),the_carrier(X20))
| ~ function(X21) )
| spl578_31 ),
inference(resolution,[],[f6073,f2789]) ).
fof(f2789,plain,
! [X2,X3,X0,X1] :
( ~ one_sorted_str(X1)
| ~ one_sorted_str(X0)
| ~ relation_of2(X3,the_carrier(X0),the_carrier(X1))
| element(apply_on_structs(X0,X1,X3,X2),the_carrier(X1))
| ~ function(X3)
| empty_carrier(X1)
| empty_carrier(X0)
| ~ quasi_total(X3,the_carrier(X0),the_carrier(X1))
| ~ element(X2,the_carrier(X0)) ),
inference(cnf_transformation,[],[f1390]) ).
fof(f1390,plain,
! [X3,X1,X0,X2] :
( element(apply_on_structs(X0,X1,X3,X2),the_carrier(X1))
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ quasi_total(X3,the_carrier(X0),the_carrier(X1))
| ~ relation_of2(X3,the_carrier(X0),the_carrier(X1))
| ~ function(X3)
| empty_carrier(X1)
| ~ element(X2,the_carrier(X0))
| ~ one_sorted_str(X1) ),
inference(flattening,[],[f1389]) ).
fof(f1389,plain,
! [X3,X2,X0,X1] :
( element(apply_on_structs(X0,X1,X3,X2),the_carrier(X1))
| ~ one_sorted_str(X1)
| empty_carrier(X0)
| ~ element(X2,the_carrier(X0))
| empty_carrier(X1)
| ~ function(X3)
| ~ quasi_total(X3,the_carrier(X0),the_carrier(X1))
| ~ one_sorted_str(X0)
| ~ relation_of2(X3,the_carrier(X0),the_carrier(X1)) ),
inference(ennf_transformation,[],[f1153]) ).
fof(f1153,plain,
! [X3,X2,X0,X1] :
( ( one_sorted_str(X1)
& ~ empty_carrier(X0)
& element(X2,the_carrier(X0))
& ~ empty_carrier(X1)
& function(X3)
& quasi_total(X3,the_carrier(X0),the_carrier(X1))
& one_sorted_str(X0)
& relation_of2(X3,the_carrier(X0),the_carrier(X1)) )
=> element(apply_on_structs(X0,X1,X3,X2),the_carrier(X1)) ),
inference(rectify,[],[f250]) ).
fof(f250,axiom,
! [X0,X1,X3,X2] :
( ( function(X2)
& element(X3,the_carrier(X0))
& one_sorted_str(X0)
& ~ empty_carrier(X0)
& quasi_total(X2,the_carrier(X0),the_carrier(X1))
& ~ empty_carrier(X1)
& relation_of2(X2,the_carrier(X0),the_carrier(X1))
& one_sorted_str(X1) )
=> element(apply_on_structs(X0,X1,X2,X3),the_carrier(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_waybel_0) ).
fof(f7689,plain,
( ~ spl578_60
| ~ spl578_74
| spl578_249
| spl578_31 ),
inference(avatar_split_clause,[],[f6437,f6071,f7687,f6806,f6746]) ).
fof(f7687,plain,
( spl578_249
<=> ! [X240,X239] :
( element(sK313(sK407,X239,X240),the_carrier(sK407))
| ~ element(X239,the_carrier(sK407))
| ~ element(X240,the_carrier(sK407)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_249])]) ).
fof(f6437,plain,
( ! [X240,X239] :
( element(sK313(sK407,X239,X240),the_carrier(sK407))
| ~ directed_relstr(sK407)
| ~ element(X240,the_carrier(sK407))
| ~ element(X239,the_carrier(sK407))
| ~ rel_str(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f3774]) ).
fof(f3774,plain,
! [X2,X0,X1] :
( element(sK313(X0,X1,X2),the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ directed_relstr(X0)
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1817]) ).
fof(f7685,plain,
( ~ spl578_60
| spl578_248
| spl578_31 ),
inference(avatar_split_clause,[],[f6366,f6071,f7683,f6746]) ).
fof(f7683,plain,
( spl578_248
<=> ! [X112,X113,X111] :
( apply_on_set_and_struct(X112,sK407,X113,X111) = apply(X113,X111)
| ~ element(X111,X112)
| ~ quasi_total(X113,X112,the_carrier(sK407))
| empty(X112)
| ~ function(X113)
| ~ relation_of2(X113,X112,the_carrier(sK407)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_248])]) ).
fof(f6366,plain,
( ! [X113,X111,X112] :
( apply_on_set_and_struct(X112,sK407,X113,X111) = apply(X113,X111)
| ~ relation_of2(X113,X112,the_carrier(sK407))
| ~ function(X113)
| empty(X112)
| ~ rel_str(sK407)
| ~ quasi_total(X113,X112,the_carrier(sK407))
| ~ element(X111,X112) )
| spl578_31 ),
inference(resolution,[],[f6073,f3232]) ).
fof(f3232,plain,
! [X2,X3,X0,X1] :
( ~ element(X3,X1)
| ~ rel_str(X2)
| ~ function(X0)
| ~ relation_of2(X0,X1,the_carrier(X2))
| empty_carrier(X2)
| empty(X1)
| ~ quasi_total(X0,X1,the_carrier(X2))
| apply(X0,X3) = apply_on_set_and_struct(X1,X2,X0,X3) ),
inference(cnf_transformation,[],[f2030]) ).
fof(f2030,plain,
! [X3,X0,X1,X2] :
( ~ relation_of2(X0,X1,the_carrier(X2))
| empty(X1)
| ~ function(X0)
| apply(X0,X3) = apply_on_set_and_struct(X1,X2,X0,X3)
| ~ element(X3,X1)
| ~ rel_str(X2)
| ~ quasi_total(X0,X1,the_carrier(X2))
| empty_carrier(X2) ),
inference(flattening,[],[f2029]) ).
fof(f2029,plain,
! [X2,X3,X1,X0] :
( apply(X0,X3) = apply_on_set_and_struct(X1,X2,X0,X3)
| empty_carrier(X2)
| ~ rel_str(X2)
| ~ relation_of2(X0,X1,the_carrier(X2))
| ~ quasi_total(X0,X1,the_carrier(X2))
| ~ element(X3,X1)
| empty(X1)
| ~ function(X0) ),
inference(ennf_transformation,[],[f1140]) ).
fof(f1140,plain,
! [X2,X3,X1,X0] :
( ( ~ empty_carrier(X2)
& rel_str(X2)
& relation_of2(X0,X1,the_carrier(X2))
& quasi_total(X0,X1,the_carrier(X2))
& element(X3,X1)
& ~ empty(X1)
& function(X0) )
=> apply(X0,X3) = apply_on_set_and_struct(X1,X2,X0,X3) ),
inference(rectify,[],[f577]) ).
fof(f577,axiom,
! [X2,X0,X1,X3] :
( ( element(X3,X0)
& relation_of2(X2,X0,the_carrier(X1))
& ~ empty(X0)
& rel_str(X1)
& ~ empty_carrier(X1)
& function(X2)
& quasi_total(X2,X0,the_carrier(X1)) )
=> apply(X2,X3) = apply_on_set_and_struct(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k3_yellow_6) ).
fof(f7681,plain,
( spl578_63
| ~ spl578_61
| ~ spl578_60
| spl578_31 ),
inference(avatar_split_clause,[],[f6446,f6071,f6746,f6750,f6760]) ).
fof(f6446,plain,
( ~ rel_str(sK407)
| ~ boolean_relstr(sK407)
| reflexive_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3790]) ).
fof(f3790,plain,
! [X0] :
( reflexive_relstr(X0)
| empty_carrier(X0)
| ~ boolean_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1731]) ).
fof(f7680,plain,
( ~ spl578_171
| spl578_247
| spl578_31 ),
inference(avatar_split_clause,[],[f6263,f6071,f7678,f7281]) ).
fof(f7678,plain,
( spl578_247
<=> ! [X9,X8] :
( apply_binary_as_element(the_carrier(sK407),the_carrier(sK407),the_carrier(sK407),the_L_join(sK407),X9,X8) = join(sK407,X9,X8)
| ~ element(X8,the_carrier(sK407))
| ~ element(X9,the_carrier(sK407)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_247])]) ).
fof(f6263,plain,
( ! [X8,X9] :
( apply_binary_as_element(the_carrier(sK407),the_carrier(sK407),the_carrier(sK407),the_L_join(sK407),X9,X8) = join(sK407,X9,X8)
| ~ join_semilatt_str(sK407)
| ~ element(X9,the_carrier(sK407))
| ~ element(X8,the_carrier(sK407)) )
| spl578_31 ),
inference(resolution,[],[f6073,f2364]) ).
fof(f2364,plain,
! [X2,X0,X1] :
( ~ join_semilatt_str(X0)
| ~ element(X2,the_carrier(X0))
| join(X0,X1,X2) = apply_binary_as_element(the_carrier(X0),the_carrier(X0),the_carrier(X0),the_L_join(X0),X1,X2)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0)) ),
inference(cnf_transformation,[],[f1506]) ).
fof(f1506,plain,
! [X0] :
( ! [X1] :
( ~ element(X1,the_carrier(X0))
| ! [X2] :
( join(X0,X1,X2) = apply_binary_as_element(the_carrier(X0),the_carrier(X0),the_carrier(X0),the_L_join(X0),X1,X2)
| ~ element(X2,the_carrier(X0)) ) )
| ~ join_semilatt_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f1505]) ).
fof(f1505,plain,
! [X0] :
( ! [X1] :
( ~ element(X1,the_carrier(X0))
| ! [X2] :
( join(X0,X1,X2) = apply_binary_as_element(the_carrier(X0),the_carrier(X0),the_carrier(X0),the_L_join(X0),X1,X2)
| ~ element(X2,the_carrier(X0)) ) )
| empty_carrier(X0)
| ~ join_semilatt_str(X0) ),
inference(ennf_transformation,[],[f130]) ).
fof(f130,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& join_semilatt_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> join(X0,X1,X2) = apply_binary_as_element(the_carrier(X0),the_carrier(X0),the_carrier(X0),the_L_join(X0),X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_lattices) ).
fof(f7675,plain,
( ~ spl578_43
| ~ spl578_44
| spl578_100
| ~ spl578_45
| spl578_31 ),
inference(avatar_split_clause,[],[f6536,f6071,f6684,f6933,f6680,f6676]) ).
fof(f6933,plain,
( spl578_100
<=> antisymmetric_relstr(poset_of_lattice(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_100])]) ).
fof(f6536,plain,
( ~ lattice(sK407)
| antisymmetric_relstr(poset_of_lattice(sK407))
| ~ complete_latt_str(sK407)
| ~ latt_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4151]) ).
fof(f4151,plain,
! [X0] :
( ~ lattice(X0)
| empty_carrier(X0)
| antisymmetric_relstr(poset_of_lattice(X0))
| ~ latt_str(X0)
| ~ complete_latt_str(X0) ),
inference(cnf_transformation,[],[f1679]) ).
fof(f7674,plain,
( ~ spl578_43
| spl578_246
| ~ spl578_45
| spl578_31 ),
inference(avatar_split_clause,[],[f6503,f6071,f6684,f7671,f6676]) ).
fof(f7671,plain,
( spl578_246
<=> rel_str(poset_of_lattice(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_246])]) ).
fof(f6503,plain,
( ~ lattice(sK407)
| rel_str(poset_of_lattice(sK407))
| ~ latt_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3963]) ).
fof(f3963,plain,
! [X0] :
( empty_carrier(X0)
| ~ latt_str(X0)
| ~ lattice(X0)
| rel_str(poset_of_lattice(X0)) ),
inference(cnf_transformation,[],[f2005]) ).
fof(f7669,plain,
( ~ spl578_83
| spl578_143
| ~ spl578_43
| ~ spl578_45
| spl578_31 ),
inference(avatar_split_clause,[],[f6626,f6071,f6684,f6676,f7137,f6846]) ).
fof(f6626,plain,
( ~ lattice(sK407)
| ~ latt_str(sK407)
| strict_rel_str(poset_of_lattice(sK407))
| ~ upper_bounded_semilattstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f5066]) ).
fof(f5066,plain,
! [X0] :
( ~ latt_str(X0)
| ~ upper_bounded_semilattstr(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| strict_rel_str(poset_of_lattice(X0)) ),
inference(cnf_transformation,[],[f1481]) ).
fof(f7668,plain,
( ~ spl578_45
| ~ spl578_43
| spl578_82
| ~ spl578_44
| spl578_31 ),
inference(avatar_split_clause,[],[f6612,f6071,f6680,f6842,f6676,f6684]) ).
fof(f6612,plain,
( ~ complete_latt_str(sK407)
| bounded_lattstr(sK407)
| ~ latt_str(sK407)
| ~ lattice(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4879]) ).
fof(f4879,plain,
! [X0] :
( ~ latt_str(X0)
| empty_carrier(X0)
| ~ complete_latt_str(X0)
| ~ lattice(X0)
| bounded_lattstr(X0) ),
inference(cnf_transformation,[],[f1247]) ).
fof(f1247,plain,
! [X0] :
( ~ lattice(X0)
| ~ latt_str(X0)
| ( ~ empty_carrier(X0)
& join_commutative(X0)
& upper_bounded_semilattstr(X0)
& join_absorbing(X0)
& bounded_lattstr(X0)
& lower_bounded_semilattstr(X0)
& lattice(X0)
& meet_associative(X0)
& meet_absorbing(X0)
& join_associative(X0)
& meet_commutative(X0) )
| ~ complete_latt_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f1246]) ).
fof(f1246,plain,
! [X0] :
( ( ~ empty_carrier(X0)
& join_commutative(X0)
& upper_bounded_semilattstr(X0)
& join_absorbing(X0)
& bounded_lattstr(X0)
& lower_bounded_semilattstr(X0)
& lattice(X0)
& meet_associative(X0)
& meet_absorbing(X0)
& join_associative(X0)
& meet_commutative(X0) )
| ~ complete_latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( latt_str(X0)
=> ( ( complete_latt_str(X0)
& lattice(X0)
& ~ empty_carrier(X0) )
=> ( ~ empty_carrier(X0)
& join_commutative(X0)
& upper_bounded_semilattstr(X0)
& join_absorbing(X0)
& bounded_lattstr(X0)
& lower_bounded_semilattstr(X0)
& lattice(X0)
& meet_associative(X0)
& meet_absorbing(X0)
& join_associative(X0)
& meet_commutative(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_knaster) ).
fof(f7667,plain,
( ~ spl578_47
| spl578_245
| spl578_31 ),
inference(avatar_split_clause,[],[f6575,f6071,f7665,f6693]) ).
fof(f7665,plain,
( spl578_245
<=> ! [X388,X387,X386] :
( ~ element(X387,the_carrier(X386))
| related(X386,X387,sK464(sK407,X386,X388,X387))
| is_eventually_in(sK407,X386,X388)
| empty_carrier(X386)
| ~ net_str(X386,sK407) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_245])]) ).
fof(f6575,plain,
( ! [X387,X386,X388] :
( ~ element(X387,the_carrier(X386))
| ~ net_str(X386,sK407)
| empty_carrier(X386)
| is_eventually_in(sK407,X386,X388)
| related(X386,X387,sK464(sK407,X386,X388,X387))
| ~ one_sorted_str(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f4547]) ).
fof(f4547,plain,
! [X2,X3,X0,X1] :
( ~ net_str(X1,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| ~ element(X3,the_carrier(X1))
| is_eventually_in(X0,X1,X2)
| related(X1,X3,sK464(X0,X1,X2,X3))
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f1708]) ).
fof(f7663,plain,
( ~ spl578_60
| spl578_74
| spl578_244
| spl578_31 ),
inference(avatar_split_clause,[],[f6441,f6071,f7660,f6806,f6746]) ).
fof(f7660,plain,
( spl578_244
<=> element(sK311(sK407),the_carrier(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_244])]) ).
fof(f6441,plain,
( element(sK311(sK407),the_carrier(sK407))
| directed_relstr(sK407)
| ~ rel_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3778]) ).
fof(f3778,plain,
! [X0] :
( ~ rel_str(X0)
| element(sK311(X0),the_carrier(X0))
| directed_relstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1817]) ).
fof(f7658,plain,
( ~ spl578_63
| ~ spl578_60
| ~ spl578_89
| spl578_91
| spl578_31 ),
inference(avatar_split_clause,[],[f6606,f6071,f6887,f6879,f6746,f6760]) ).
fof(f6606,plain,
( join_complete_relstr(sK407)
| ~ complete_relstr(sK407)
| ~ rel_str(sK407)
| ~ reflexive_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4760]) ).
fof(f4760,plain,
! [X0] :
( ~ reflexive_relstr(X0)
| ~ rel_str(X0)
| ~ complete_relstr(X0)
| join_complete_relstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1987]) ).
fof(f1987,plain,
! [X0] :
( ~ reflexive_relstr(X0)
| ~ complete_relstr(X0)
| ( ~ empty_carrier(X0)
& join_complete_relstr(X0)
& up_complete_relstr(X0)
& reflexive_relstr(X0) )
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f1986]) ).
fof(f1986,plain,
! [X0] :
( ( ~ empty_carrier(X0)
& join_complete_relstr(X0)
& up_complete_relstr(X0)
& reflexive_relstr(X0) )
| ~ complete_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( rel_str(X0)
=> ( ( complete_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ( ~ empty_carrier(X0)
& join_complete_relstr(X0)
& up_complete_relstr(X0)
& reflexive_relstr(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc10_waybel_0) ).
fof(f7657,plain,
( ~ spl578_74
| spl578_243
| ~ spl578_67
| spl578_31 ),
inference(avatar_split_clause,[],[f6417,f6071,f6776,f7655,f6806]) ).
fof(f7655,plain,
( spl578_243
<=> ! [X219,X218] :
( ~ subnet(X218,X219,sK407)
| ~ empty_carrier(X218)
| ~ one_sorted_str(X219)
| empty_carrier(X219)
| ~ net_str(sK407,X219) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_243])]) ).
fof(f6417,plain,
( ! [X218,X219] :
( ~ transitive_relstr(sK407)
| ~ subnet(X218,X219,sK407)
| ~ net_str(sK407,X219)
| empty_carrier(X219)
| ~ one_sorted_str(X219)
| ~ empty_carrier(X218)
| ~ directed_relstr(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f3672]) ).
fof(f7653,plain,
( ~ spl578_90
| spl578_242
| ~ spl578_67
| ~ spl578_60
| ~ spl578_63
| spl578_73
| ~ spl578_64
| spl578_31 ),
inference(avatar_split_clause,[],[f6529,f6071,f6764,f6801,f6760,f6746,f6776,f7650,f6883]) ).
fof(f7650,plain,
( spl578_242
<=> element(sK364(sK407),powerset(the_carrier(sK407))) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_242])]) ).
fof(f6529,plain,
( ~ antisymmetric_relstr(sK407)
| trivial_carrier(sK407)
| ~ reflexive_relstr(sK407)
| ~ rel_str(sK407)
| ~ transitive_relstr(sK407)
| element(sK364(sK407),powerset(the_carrier(sK407)))
| ~ upper_bounded_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4100]) ).
fof(f4100,plain,
! [X0] :
( element(sK364(X0),powerset(the_carrier(X0)))
| ~ upper_bounded_relstr(X0)
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| trivial_carrier(X0) ),
inference(cnf_transformation,[],[f1340]) ).
fof(f7648,plain,
( ~ spl578_60
| ~ spl578_64
| spl578_132
| ~ spl578_63
| ~ spl578_91
| spl578_31 ),
inference(avatar_split_clause,[],[f6400,f6071,f6887,f6760,f7088,f6764,f6746]) ).
fof(f6400,plain,
( ~ join_complete_relstr(sK407)
| ~ reflexive_relstr(sK407)
| with_infima_relstr(sK407)
| ~ antisymmetric_relstr(sK407)
| ~ rel_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3502]) ).
fof(f3502,plain,
! [X0] :
( ~ reflexive_relstr(X0)
| ~ antisymmetric_relstr(X0)
| with_infima_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0)
| ~ join_complete_relstr(X0) ),
inference(cnf_transformation,[],[f2186]) ).
fof(f2186,plain,
! [X0] :
( ~ reflexive_relstr(X0)
| ~ rel_str(X0)
| ~ join_complete_relstr(X0)
| ( antisymmetric_relstr(X0)
& ~ empty_carrier(X0)
& with_infima_relstr(X0)
& reflexive_relstr(X0) )
| ~ antisymmetric_relstr(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f2185]) ).
fof(f2185,plain,
! [X0] :
( ( antisymmetric_relstr(X0)
& ~ empty_carrier(X0)
& with_infima_relstr(X0)
& reflexive_relstr(X0) )
| ~ antisymmetric_relstr(X0)
| ~ join_complete_relstr(X0)
| empty_carrier(X0)
| ~ reflexive_relstr(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( rel_str(X0)
=> ( ( antisymmetric_relstr(X0)
& join_complete_relstr(X0)
& ~ empty_carrier(X0)
& reflexive_relstr(X0) )
=> ( antisymmetric_relstr(X0)
& ~ empty_carrier(X0)
& with_infima_relstr(X0)
& reflexive_relstr(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc13_waybel_0) ).
fof(f7647,plain,
( ~ spl578_60
| ~ spl578_67
| spl578_241
| spl578_31 ),
inference(avatar_split_clause,[],[f6379,f6071,f7645,f6776,f6746]) ).
fof(f7645,plain,
( spl578_241
<=> ! [X150,X149,X148] :
( relstr_set_smaller(sK407,sK249(X148,sK407),sK252(X148,sK407))
| sP251(X150,X149,sK407,X148)
| ~ finite(X149)
| ~ in(X150,sK248(X148,sK407,X149))
| ~ element(X148,powerset(the_carrier(sK407)))
| ~ element(X149,powerset(X148)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_241])]) ).
fof(f6379,plain,
( ! [X150,X148,X149] :
( relstr_set_smaller(sK407,sK249(X148,sK407),sK252(X148,sK407))
| ~ element(X149,powerset(X148))
| ~ transitive_relstr(sK407)
| ~ element(X148,powerset(the_carrier(sK407)))
| ~ in(X150,sK248(X148,sK407,X149))
| ~ finite(X149)
| sP251(X150,X149,sK407,X148)
| ~ rel_str(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f3444]) ).
fof(f3444,plain,
! [X2,X0,X11,X1] :
( empty_carrier(X1)
| relstr_set_smaller(X1,sK249(X0,X1),sK252(X0,X1))
| ~ element(X2,powerset(X0))
| ~ finite(X2)
| sP251(X11,X2,X1,X0)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ element(X0,powerset(the_carrier(X1)))
| ~ in(X11,sK248(X0,X1,X2)) ),
inference(cnf_transformation,[],[f1999]) ).
fof(f7643,plain,
( spl578_240
| spl578_31
| ~ spl578_39
| ~ spl578_40 ),
inference(avatar_split_clause,[],[f7638,f6189,f6183,f6071,f7640]) ).
fof(f7640,plain,
( spl578_240
<=> closed_subset(sK86(sK407),sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_240])]) ).
fof(f7638,plain,
( closed_subset(sK86(sK407),sK407)
| spl578_31
| ~ spl578_39
| ~ spl578_40 ),
inference(subsumption_resolution,[],[f7637,f6185]) ).
fof(f7637,plain,
( closed_subset(sK86(sK407),sK407)
| ~ top_str(sK407)
| spl578_31
| ~ spl578_40 ),
inference(subsumption_resolution,[],[f6288,f6191]) ).
fof(f6288,plain,
( ~ topological_space(sK407)
| closed_subset(sK86(sK407),sK407)
| ~ top_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2660]) ).
fof(f2660,plain,
! [X0] :
( empty_carrier(X0)
| ~ top_str(X0)
| closed_subset(sK86(X0),X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f1209]) ).
fof(f7636,plain,
( ~ spl578_67
| spl578_239
| ~ spl578_74
| spl578_31 ),
inference(avatar_split_clause,[],[f6415,f6071,f6806,f7634,f6776]) ).
fof(f7634,plain,
( spl578_239
<=> ! [X214,X215] :
( ~ one_sorted_str(X215)
| empty_carrier(X215)
| transitive_relstr(X214)
| ~ subnet(X214,X215,sK407)
| ~ net_str(sK407,X215) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_239])]) ).
fof(f6415,plain,
( ! [X215,X214] :
( ~ directed_relstr(sK407)
| ~ one_sorted_str(X215)
| ~ net_str(sK407,X215)
| ~ transitive_relstr(sK407)
| transitive_relstr(X214)
| ~ subnet(X214,X215,sK407)
| empty_carrier(X215) )
| spl578_31 ),
inference(resolution,[],[f6073,f3671]) ).
fof(f7632,plain,
( ~ spl578_43
| spl578_238
| spl578_31 ),
inference(avatar_split_clause,[],[f6412,f6071,f7630,f6676]) ).
fof(f7630,plain,
( spl578_238
<=> ! [X209] : join_of_latt_set(sK407,a_2_2_lattice3(sK407,X209)) = meet_of_latt_set(sK407,X209) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_238])]) ).
fof(f6412,plain,
( ! [X209] :
( join_of_latt_set(sK407,a_2_2_lattice3(sK407,X209)) = meet_of_latt_set(sK407,X209)
| ~ latt_str(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f3657]) ).
fof(f3657,plain,
! [X0,X1] :
( empty_carrier(X0)
| meet_of_latt_set(X0,X1) = join_of_latt_set(X0,a_2_2_lattice3(X0,X1))
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f1888]) ).
fof(f1888,plain,
! [X0] :
( ! [X1] : meet_of_latt_set(X0,X1) = join_of_latt_set(X0,a_2_2_lattice3(X0,X1))
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(flattening,[],[f1887]) ).
fof(f1887,plain,
! [X0] :
( ! [X1] : meet_of_latt_set(X0,X1) = join_of_latt_set(X0,a_2_2_lattice3(X0,X1))
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f151]) ).
fof(f151,axiom,
! [X0] :
( ( latt_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] : meet_of_latt_set(X0,X1) = join_of_latt_set(X0,a_2_2_lattice3(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d22_lattice3) ).
fof(f7628,plain,
( ~ spl578_66
| ~ spl578_64
| spl578_94
| ~ spl578_59
| ~ spl578_68
| ~ spl578_60
| ~ spl578_67
| ~ spl578_63
| spl578_31 ),
inference(avatar_split_clause,[],[f6394,f6071,f6760,f6776,f6746,f6780,f6742,f6901,f6764,f6772]) ).
fof(f6780,plain,
( spl578_68
<=> connected_relstr(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_68])]) ).
fof(f6394,plain,
( ~ reflexive_relstr(sK407)
| ~ transitive_relstr(sK407)
| ~ rel_str(sK407)
| ~ connected_relstr(sK407)
| ~ lower_bounded_relstr(sK407)
| with_suprema_relstr(sK407)
| ~ antisymmetric_relstr(sK407)
| ~ up_complete_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3478]) ).
fof(f3478,plain,
! [X0] :
( ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| ~ up_complete_relstr(X0)
| empty_carrier(X0)
| ~ connected_relstr(X0)
| with_suprema_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ antisymmetric_relstr(X0) ),
inference(cnf_transformation,[],[f1541]) ).
fof(f1541,plain,
! [X0] :
( ~ up_complete_relstr(X0)
| ~ connected_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ( lower_bounded_relstr(X0)
& reflexive_relstr(X0)
& bounded_relstr(X0)
& up_complete_relstr(X0)
& ~ empty_carrier(X0)
& connected_relstr(X0)
& join_complete_relstr(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& upper_bounded_relstr(X0)
& complete_relstr(X0)
& transitive_relstr(X0) )
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(flattening,[],[f1540]) ).
fof(f1540,plain,
! [X0] :
( ( lower_bounded_relstr(X0)
& reflexive_relstr(X0)
& bounded_relstr(X0)
& up_complete_relstr(X0)
& ~ empty_carrier(X0)
& connected_relstr(X0)
& join_complete_relstr(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& upper_bounded_relstr(X0)
& complete_relstr(X0)
& transitive_relstr(X0) )
| ~ up_complete_relstr(X0)
| ~ reflexive_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ antisymmetric_relstr(X0)
| empty_carrier(X0)
| ~ connected_relstr(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0] :
( rel_str(X0)
=> ( ( up_complete_relstr(X0)
& reflexive_relstr(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& ~ empty_carrier(X0)
& connected_relstr(X0)
& transitive_relstr(X0) )
=> ( lower_bounded_relstr(X0)
& reflexive_relstr(X0)
& bounded_relstr(X0)
& up_complete_relstr(X0)
& ~ empty_carrier(X0)
& connected_relstr(X0)
& join_complete_relstr(X0)
& with_infima_relstr(X0)
& with_suprema_relstr(X0)
& antisymmetric_relstr(X0)
& upper_bounded_relstr(X0)
& complete_relstr(X0)
& transitive_relstr(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_waybel_3) ).
fof(f7627,plain,
( ~ spl578_45
| ~ spl578_43
| spl578_57
| spl578_31 ),
inference(avatar_split_clause,[],[f6516,f6071,f6733,f6676,f6684]) ).
fof(f6516,plain,
( join_absorbing(sK407)
| ~ latt_str(sK407)
| ~ lattice(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4015]) ).
fof(f4015,plain,
! [X0] :
( empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0)
| join_absorbing(X0) ),
inference(cnf_transformation,[],[f1477]) ).
fof(f1477,plain,
! [X0] :
( empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0)
| ( meet_absorbing(X0)
& join_absorbing(X0)
& meet_associative(X0)
& join_commutative(X0)
& meet_commutative(X0)
& join_associative(X0)
& ~ empty_carrier(X0) ) ),
inference(flattening,[],[f1476]) ).
fof(f1476,plain,
! [X0] :
( ( meet_absorbing(X0)
& join_absorbing(X0)
& meet_associative(X0)
& join_commutative(X0)
& meet_commutative(X0)
& join_associative(X0)
& ~ empty_carrier(X0) )
| ~ lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( latt_str(X0)
=> ( ( lattice(X0)
& ~ empty_carrier(X0) )
=> ( meet_absorbing(X0)
& join_absorbing(X0)
& meet_associative(X0)
& join_commutative(X0)
& meet_commutative(X0)
& join_associative(X0)
& ~ empty_carrier(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattices) ).
fof(f7626,plain,
( ~ spl578_43
| ~ spl578_71
| ~ spl578_45
| spl578_46
| spl578_31 ),
inference(avatar_split_clause,[],[f6351,f6071,f6688,f6684,f6792,f6676]) ).
fof(f6688,plain,
( spl578_46
<=> lower_bounded_relstr(poset_of_lattice(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_46])]) ).
fof(f6351,plain,
( lower_bounded_relstr(poset_of_lattice(sK407))
| ~ lattice(sK407)
| ~ lower_bounded_semilattstr(sK407)
| ~ latt_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3115]) ).
fof(f3115,plain,
! [X0] :
( ~ lower_bounded_semilattstr(X0)
| lower_bounded_relstr(poset_of_lattice(X0))
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f2135]) ).
fof(f7625,plain,
( spl578_89
| ~ spl578_60
| ~ spl578_73
| ~ spl578_63
| spl578_31 ),
inference(avatar_split_clause,[],[f6333,f6071,f6760,f6801,f6746,f6879]) ).
fof(f6333,plain,
( ~ reflexive_relstr(sK407)
| ~ trivial_carrier(sK407)
| ~ rel_str(sK407)
| complete_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2924]) ).
fof(f2924,plain,
! [X0] :
( complete_relstr(X0)
| ~ reflexive_relstr(X0)
| ~ trivial_carrier(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1823]) ).
fof(f1823,plain,
! [X0] :
( ~ trivial_carrier(X0)
| ~ rel_str(X0)
| empty_carrier(X0)
| ( complete_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0) )
| ~ reflexive_relstr(X0) ),
inference(flattening,[],[f1822]) ).
fof(f1822,plain,
! [X0] :
( ( complete_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0) )
| empty_carrier(X0)
| ~ trivial_carrier(X0)
| ~ reflexive_relstr(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0] :
( rel_str(X0)
=> ( ( ~ empty_carrier(X0)
& trivial_carrier(X0)
& reflexive_relstr(X0) )
=> ( complete_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_yellow_0) ).
fof(f7624,plain,
( spl578_132
| ~ spl578_66
| ~ spl578_59
| ~ spl578_64
| ~ spl578_94
| ~ spl578_60
| ~ spl578_67
| ~ spl578_63
| spl578_31 ),
inference(avatar_split_clause,[],[f6546,f6071,f6760,f6776,f6746,f6901,f6764,f6742,f6772,f7088]) ).
fof(f6546,plain,
( ~ reflexive_relstr(sK407)
| ~ transitive_relstr(sK407)
| ~ rel_str(sK407)
| ~ with_suprema_relstr(sK407)
| ~ antisymmetric_relstr(sK407)
| ~ lower_bounded_relstr(sK407)
| ~ up_complete_relstr(sK407)
| with_infima_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4195]) ).
fof(f4195,plain,
! [X0] :
( ~ lower_bounded_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ up_complete_relstr(X0)
| empty_carrier(X0)
| with_infima_relstr(X0)
| ~ transitive_relstr(X0) ),
inference(cnf_transformation,[],[f1651]) ).
fof(f7623,plain,
( ~ spl578_74
| ~ spl578_67
| spl578_237
| spl578_31 ),
inference(avatar_split_clause,[],[f6478,f6071,f7621,f6776,f6806]) ).
fof(f7621,plain,
( spl578_237
<=> ! [X315,X314] :
( ~ directed_relstr(X314)
| quasi_total(sK322(X315,sK407,X314),the_carrier(X314),the_carrier(sK407))
| empty_carrier(X315)
| ~ net_str(X314,X315)
| ~ net_str(sK407,X315)
| ~ subnet(X314,X315,sK407)
| ~ transitive_relstr(X314)
| empty_carrier(X314)
| ~ one_sorted_str(X315) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_237])]) ).
fof(f6478,plain,
( ! [X315,X314] :
( ~ directed_relstr(X314)
| ~ one_sorted_str(X315)
| empty_carrier(X314)
| ~ transitive_relstr(X314)
| ~ subnet(X314,X315,sK407)
| ~ transitive_relstr(sK407)
| ~ net_str(sK407,X315)
| ~ net_str(X314,X315)
| empty_carrier(X315)
| quasi_total(sK322(X315,sK407,X314),the_carrier(X314),the_carrier(sK407))
| ~ directed_relstr(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f3852]) ).
fof(f7619,plain,
( spl578_83
| ~ spl578_45
| ~ spl578_43
| ~ spl578_44
| spl578_31 ),
inference(avatar_split_clause,[],[f6614,f6071,f6680,f6676,f6684,f6846]) ).
fof(f6614,plain,
( ~ complete_latt_str(sK407)
| ~ latt_str(sK407)
| ~ lattice(sK407)
| upper_bounded_semilattstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4881]) ).
fof(f4881,plain,
! [X0] :
( upper_bounded_semilattstr(X0)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f1247]) ).
fof(f7616,plain,
( spl578_236
| ~ spl578_43
| spl578_31 ),
inference(avatar_split_clause,[],[f6304,f6071,f6676,f7614]) ).
fof(f7614,plain,
( spl578_236
<=> ! [X27,X28,X26] :
( below(sK407,X28,X26)
| ~ latt_set_smaller(sK407,X28,X27)
| ~ element(X28,the_carrier(sK407))
| ~ in(X26,X27)
| ~ element(X26,the_carrier(sK407)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_236])]) ).
fof(f6304,plain,
( ! [X28,X26,X27] :
( ~ latt_str(sK407)
| below(sK407,X28,X26)
| ~ element(X26,the_carrier(sK407))
| ~ in(X26,X27)
| ~ element(X28,the_carrier(sK407))
| ~ latt_set_smaller(sK407,X28,X27) )
| spl578_31 ),
inference(resolution,[],[f6073,f2802]) ).
fof(f2802,plain,
! [X2,X3,X0,X1] :
( ~ element(X3,the_carrier(X0))
| ~ in(X3,X2)
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0))
| ~ latt_set_smaller(X0,X1,X2)
| below(X0,X1,X3) ),
inference(cnf_transformation,[],[f2113]) ).
fof(f2113,plain,
! [X0] :
( ! [X1] :
( ~ element(X1,the_carrier(X0))
| ! [X2] :
( latt_set_smaller(X0,X1,X2)
<=> ! [X3] :
( ~ element(X3,the_carrier(X0))
| below(X0,X1,X3)
| ~ in(X3,X2) ) ) )
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(flattening,[],[f2112]) ).
fof(f2112,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( below(X0,X1,X3)
| ~ in(X3,X2)
| ~ element(X3,the_carrier(X0)) )
<=> latt_set_smaller(X0,X1,X2) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f118]) ).
fof(f118,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& latt_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( ! [X3] :
( element(X3,the_carrier(X0))
=> ( in(X3,X2)
=> below(X0,X1,X3) ) )
<=> latt_set_smaller(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d16_lattice3) ).
fof(f7612,plain,
( spl578_235
| ~ spl578_60
| spl578_31 ),
inference(avatar_split_clause,[],[f6500,f6071,f6746,f7609]) ).
fof(f7609,plain,
( spl578_235
<=> element(sK343(sK407),powerset(the_carrier(sK407))) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_235])]) ).
fof(f6500,plain,
( ~ rel_str(sK407)
| element(sK343(sK407),powerset(the_carrier(sK407)))
| spl578_31 ),
inference(resolution,[],[f6073,f3960]) ).
fof(f3960,plain,
! [X0] :
( element(sK343(X0),powerset(the_carrier(X0)))
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1525]) ).
fof(f1525,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& upper_relstr_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f1524]) ).
fof(f1524,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& upper_relstr_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f1168]) ).
fof(f1168,plain,
! [X0] :
( ( ~ empty_carrier(X0)
& rel_str(X0) )
=> ? [X1] :
( ~ empty(X1)
& upper_relstr_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) ) ),
inference(pure_predicate_removal,[],[f563]) ).
fof(f563,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& rel_str(X0) )
=> ? [X1] :
( element(X1,powerset(the_carrier(X0)))
& upper_relstr_subset(X1,X0)
& lower_relstr_subset(X1,X0)
& ~ empty(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc8_waybel_0) ).
fof(f7607,plain,
( ~ spl578_63
| ~ spl578_60
| ~ spl578_64
| ~ spl578_59
| ~ spl578_68
| spl578_90
| ~ spl578_66
| ~ spl578_67
| spl578_31 ),
inference(avatar_split_clause,[],[f6393,f6071,f6776,f6772,f6883,f6780,f6742,f6764,f6746,f6760]) ).
fof(f6393,plain,
( ~ transitive_relstr(sK407)
| ~ up_complete_relstr(sK407)
| upper_bounded_relstr(sK407)
| ~ connected_relstr(sK407)
| ~ lower_bounded_relstr(sK407)
| ~ antisymmetric_relstr(sK407)
| ~ rel_str(sK407)
| ~ reflexive_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3477]) ).
fof(f3477,plain,
! [X0] :
( ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ~ connected_relstr(X0)
| ~ up_complete_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| upper_bounded_relstr(X0)
| ~ lower_bounded_relstr(X0) ),
inference(cnf_transformation,[],[f1541]) ).
fof(f7605,plain,
( spl578_58
| ~ spl578_45
| ~ spl578_43
| spl578_31 ),
inference(avatar_split_clause,[],[f6517,f6071,f6676,f6684,f6737]) ).
fof(f6517,plain,
( ~ latt_str(sK407)
| ~ lattice(sK407)
| meet_absorbing(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4016]) ).
fof(f4016,plain,
! [X0] :
( meet_absorbing(X0)
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f1477]) ).
fof(f7604,plain,
( ~ spl578_47
| spl578_234
| spl578_31 ),
inference(avatar_split_clause,[],[f6600,f6071,f7602,f6693]) ).
fof(f7602,plain,
( spl578_234
<=> ! [X424,X423,X422] :
( ~ one_sorted_str(X423)
| ~ relation_of2(X422,the_carrier(sK407),the_carrier(X423))
| apply_on_structs(sK407,X423,X422,X424) = apply(X422,X424)
| empty_carrier(X423)
| ~ function(X422)
| ~ quasi_total(X422,the_carrier(sK407),the_carrier(X423))
| ~ element(X424,the_carrier(sK407)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_234])]) ).
fof(f6600,plain,
( ! [X423,X424,X422] :
( ~ one_sorted_str(X423)
| ~ element(X424,the_carrier(sK407))
| ~ function(X422)
| empty_carrier(X423)
| ~ quasi_total(X422,the_carrier(sK407),the_carrier(X423))
| apply_on_structs(sK407,X423,X422,X424) = apply(X422,X424)
| ~ relation_of2(X422,the_carrier(sK407),the_carrier(X423))
| ~ one_sorted_str(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f4704]) ).
fof(f4704,plain,
! [X2,X3,X0,X1] :
( ~ function(X1)
| ~ one_sorted_str(X0)
| ~ quasi_total(X1,the_carrier(X0),the_carrier(X2))
| ~ element(X3,the_carrier(X0))
| apply(X1,X3) = apply_on_structs(X0,X2,X1,X3)
| empty_carrier(X0)
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ relation_of2(X1,the_carrier(X0),the_carrier(X2)) ),
inference(cnf_transformation,[],[f2154]) ).
fof(f2154,plain,
! [X1,X3,X2,X0] :
( empty_carrier(X0)
| ~ element(X3,the_carrier(X0))
| ~ one_sorted_str(X0)
| ~ one_sorted_str(X2)
| ~ relation_of2(X1,the_carrier(X0),the_carrier(X2))
| empty_carrier(X2)
| apply(X1,X3) = apply_on_structs(X0,X2,X1,X3)
| ~ function(X1)
| ~ quasi_total(X1,the_carrier(X0),the_carrier(X2)) ),
inference(flattening,[],[f2153]) ).
fof(f2153,plain,
! [X1,X3,X2,X0] :
( apply(X1,X3) = apply_on_structs(X0,X2,X1,X3)
| ~ quasi_total(X1,the_carrier(X0),the_carrier(X2))
| ~ one_sorted_str(X2)
| empty_carrier(X2)
| ~ function(X1)
| ~ element(X3,the_carrier(X0))
| ~ relation_of2(X1,the_carrier(X0),the_carrier(X2))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f1154]) ).
fof(f1154,plain,
! [X1,X3,X2,X0] :
( ( quasi_total(X1,the_carrier(X0),the_carrier(X2))
& one_sorted_str(X2)
& ~ empty_carrier(X2)
& function(X1)
& element(X3,the_carrier(X0))
& relation_of2(X1,the_carrier(X0),the_carrier(X2))
& one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> apply(X1,X3) = apply_on_structs(X0,X2,X1,X3) ),
inference(rectify,[],[f570]) ).
fof(f570,axiom,
! [X0,X2,X1,X3] :
( ( quasi_total(X2,the_carrier(X0),the_carrier(X1))
& one_sorted_str(X1)
& ~ empty_carrier(X0)
& ~ empty_carrier(X1)
& one_sorted_str(X0)
& relation_of2(X2,the_carrier(X0),the_carrier(X1))
& element(X3,the_carrier(X0))
& function(X2) )
=> apply(X2,X3) = apply_on_structs(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_waybel_0) ).
fof(f7600,plain,
( ~ spl578_43
| spl578_233
| ~ spl578_58
| spl578_31 ),
inference(avatar_split_clause,[],[f6268,f6071,f6737,f7598,f6676]) ).
fof(f7598,plain,
( spl578_233
<=> ! [X11,X10] :
( join(sK407,meet(sK407,X10,X11),X11) = X11
| ~ element(X11,the_carrier(sK407))
| ~ element(X10,the_carrier(sK407)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_233])]) ).
fof(f6268,plain,
( ! [X10,X11] :
( ~ meet_absorbing(sK407)
| join(sK407,meet(sK407,X10,X11),X11) = X11
| ~ latt_str(sK407)
| ~ element(X10,the_carrier(sK407))
| ~ element(X11,the_carrier(sK407)) )
| spl578_31 ),
inference(resolution,[],[f6073,f2376]) ).
fof(f2376,plain,
! [X2,X0,X1] :
( empty_carrier(X0)
| ~ element(X1,the_carrier(X0))
| join(X0,meet(X0,X1,X2),X2) = X2
| ~ latt_str(X0)
| ~ meet_absorbing(X0)
| ~ element(X2,the_carrier(X0)) ),
inference(cnf_transformation,[],[f2165]) ).
fof(f2165,plain,
! [X0] :
( ~ latt_str(X0)
| empty_carrier(X0)
| ( ! [X1] :
( ! [X2] :
( ~ element(X2,the_carrier(X0))
| join(X0,meet(X0,X1,X2),X2) = X2 )
| ~ element(X1,the_carrier(X0)) )
<=> meet_absorbing(X0) ) ),
inference(flattening,[],[f2164]) ).
fof(f2164,plain,
! [X0] :
( ( ! [X1] :
( ! [X2] :
( ~ element(X2,the_carrier(X0))
| join(X0,meet(X0,X1,X2),X2) = X2 )
| ~ element(X1,the_carrier(X0)) )
<=> meet_absorbing(X0) )
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f211]) ).
fof(f211,axiom,
! [X0] :
( ( latt_str(X0)
& ~ empty_carrier(X0) )
=> ( ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> join(X0,meet(X0,X1,X2),X2) = X2 ) )
<=> meet_absorbing(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_lattices) ).
fof(f7596,plain,
( ~ spl578_47
| spl578_232
| spl578_31 ),
inference(avatar_split_clause,[],[f6474,f6071,f7594,f6693]) ).
fof(f7594,plain,
( spl578_232
<=> ! [X305,X304,X303] :
( ~ transitive_relstr(X304)
| empty_carrier(X305)
| ~ function(X303)
| subnet(X304,sK407,X305)
| ~ directed_relstr(X305)
| ~ relation_of2_as_subset(X303,the_carrier(X304),the_carrier(X305))
| empty_carrier(X304)
| ~ net_str(X304,sK407)
| ~ quasi_total(X303,the_carrier(X304),the_carrier(X305))
| ~ net_str(X305,sK407)
| function_of_composition(the_carrier(X304),the_carrier(X305),the_carrier(sK407),X303,the_mapping(sK407,X305)) != the_mapping(sK407,X304)
| ~ transitive_relstr(X305)
| element(sK323(X305,X304,X303),the_carrier(X305))
| ~ directed_relstr(X304) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_232])]) ).
fof(f6474,plain,
( ! [X305,X304,X303] :
( ~ transitive_relstr(X304)
| ~ directed_relstr(X304)
| element(sK323(X305,X304,X303),the_carrier(X305))
| ~ transitive_relstr(X305)
| function_of_composition(the_carrier(X304),the_carrier(X305),the_carrier(sK407),X303,the_mapping(sK407,X305)) != the_mapping(sK407,X304)
| ~ net_str(X305,sK407)
| ~ quasi_total(X303,the_carrier(X304),the_carrier(X305))
| ~ one_sorted_str(sK407)
| ~ net_str(X304,sK407)
| empty_carrier(X304)
| ~ relation_of2_as_subset(X303,the_carrier(X304),the_carrier(X305))
| ~ directed_relstr(X305)
| subnet(X304,sK407,X305)
| ~ function(X303)
| empty_carrier(X305) )
| spl578_31 ),
inference(resolution,[],[f6073,f3851]) ).
fof(f7592,plain,
( spl578_231
| spl578_71
| ~ spl578_69
| spl578_31 ),
inference(avatar_split_clause,[],[f6593,f6071,f6785,f6792,f7590]) ).
fof(f7590,plain,
( spl578_231
<=> ! [X421] :
( ~ element(X421,the_carrier(sK407))
| element(sK482(sK407,X421),the_carrier(sK407)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_231])]) ).
fof(f6593,plain,
( ! [X421] :
( ~ meet_semilatt_str(sK407)
| lower_bounded_semilattstr(sK407)
| ~ element(X421,the_carrier(sK407))
| element(sK482(sK407,X421),the_carrier(sK407)) )
| spl578_31 ),
inference(resolution,[],[f6073,f4653]) ).
fof(f4653,plain,
! [X0,X1] :
( element(sK482(X0,X1),the_carrier(X0))
| empty_carrier(X0)
| ~ meet_semilatt_str(X0)
| lower_bounded_semilattstr(X0)
| ~ element(X1,the_carrier(X0)) ),
inference(cnf_transformation,[],[f1704]) ).
fof(f7588,plain,
( ~ spl578_43
| spl578_156
| ~ spl578_71
| ~ spl578_45
| spl578_31 ),
inference(avatar_split_clause,[],[f6354,f6071,f6684,f6792,f7206,f6676]) ).
fof(f6354,plain,
( ~ lattice(sK407)
| ~ lower_bounded_semilattstr(sK407)
| with_suprema_relstr(poset_of_lattice(sK407))
| ~ latt_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3118]) ).
fof(f3118,plain,
! [X0] :
( ~ lower_bounded_semilattstr(X0)
| empty_carrier(X0)
| ~ latt_str(X0)
| with_suprema_relstr(poset_of_lattice(X0))
| ~ lattice(X0) ),
inference(cnf_transformation,[],[f2135]) ).
fof(f7585,plain,
( ~ spl578_47
| spl578_230
| spl578_31 ),
inference(avatar_split_clause,[],[f6577,f6071,f7583,f6693]) ).
fof(f7583,plain,
( spl578_230
<=> ! [X392,X394,X393] :
( is_eventually_in(sK407,X392,X393)
| ~ net_str(X392,sK407)
| empty_carrier(X392)
| ~ element(X394,the_carrier(X392))
| ~ in(apply_netmap(sK407,X392,sK464(sK407,X392,X393,X394)),X393) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_230])]) ).
fof(f6577,plain,
( ! [X394,X393,X392] :
( is_eventually_in(sK407,X392,X393)
| ~ in(apply_netmap(sK407,X392,sK464(sK407,X392,X393,X394)),X393)
| ~ element(X394,the_carrier(X392))
| empty_carrier(X392)
| ~ one_sorted_str(sK407)
| ~ net_str(X392,sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f4548]) ).
fof(f4548,plain,
! [X2,X3,X0,X1] :
( ~ in(apply_netmap(X0,X1,sK464(X0,X1,X2,X3)),X2)
| ~ element(X3,the_carrier(X1))
| is_eventually_in(X0,X1,X2)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1708]) ).
fof(f7581,plain,
( ~ spl578_206
| ~ spl578_52
| ~ spl578_43
| ~ spl578_82
| spl578_53
| spl578_31 ),
inference(avatar_split_clause,[],[f6511,f6071,f6718,f6842,f6676,f6714,f7472]) ).
fof(f7472,plain,
( spl578_206
<=> complemented_lattstr(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_206])]) ).
fof(f6714,plain,
( spl578_52
<=> distributive_lattstr(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_52])]) ).
fof(f6718,plain,
( spl578_53
<=> boolean_lattstr(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_53])]) ).
fof(f6511,plain,
( boolean_lattstr(sK407)
| ~ bounded_lattstr(sK407)
| ~ latt_str(sK407)
| ~ distributive_lattstr(sK407)
| ~ complemented_lattstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3989]) ).
fof(f3989,plain,
! [X0] :
( ~ bounded_lattstr(X0)
| ~ complemented_lattstr(X0)
| boolean_lattstr(X0)
| empty_carrier(X0)
| ~ latt_str(X0)
| ~ distributive_lattstr(X0) ),
inference(cnf_transformation,[],[f1277]) ).
fof(f1277,plain,
! [X0] :
( ~ distributive_lattstr(X0)
| ( ~ empty_carrier(X0)
& boolean_lattstr(X0) )
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ bounded_lattstr(X0)
| ~ complemented_lattstr(X0) ),
inference(flattening,[],[f1276]) ).
fof(f1276,plain,
! [X0] :
( ( ~ empty_carrier(X0)
& boolean_lattstr(X0) )
| empty_carrier(X0)
| ~ distributive_lattstr(X0)
| ~ complemented_lattstr(X0)
| ~ bounded_lattstr(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0] :
( latt_str(X0)
=> ( ( ~ empty_carrier(X0)
& distributive_lattstr(X0)
& complemented_lattstr(X0)
& bounded_lattstr(X0) )
=> ( ~ empty_carrier(X0)
& boolean_lattstr(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_lattices) ).
fof(f7580,plain,
( ~ spl578_58
| ~ spl578_55
| spl578_229
| ~ spl578_43
| ~ spl578_57
| spl578_31 ),
inference(avatar_split_clause,[],[f6261,f6071,f6733,f6676,f7578,f6726,f6737]) ).
fof(f7578,plain,
( spl578_229
<=> ! [X4,X5] :
( below(sK407,X4,X5)
| ~ element(X4,the_carrier(sK407))
| ~ element(X5,the_carrier(sK407))
| ~ below_refl(sK407,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_229])]) ).
fof(f6261,plain,
( ! [X4,X5] :
( ~ join_absorbing(sK407)
| ~ latt_str(sK407)
| below(sK407,X4,X5)
| ~ below_refl(sK407,X4,X5)
| ~ meet_commutative(sK407)
| ~ element(X5,the_carrier(sK407))
| ~ element(X4,the_carrier(sK407))
| ~ meet_absorbing(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f2298]) ).
fof(f2298,plain,
! [X2,X0,X1] :
( ~ below_refl(X0,X2,X1)
| ~ latt_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ join_absorbing(X0)
| ~ meet_commutative(X0)
| below(X0,X2,X1)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0))
| ~ meet_absorbing(X0) ),
inference(cnf_transformation,[],[f1334]) ).
fof(f7576,plain,
( ~ spl578_69
| ~ spl578_71
| spl578_228
| spl578_31 ),
inference(avatar_split_clause,[],[f6594,f6071,f7573,f6792,f6785]) ).
fof(f7573,plain,
( spl578_228
<=> element(sK481(sK407),the_carrier(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_228])]) ).
fof(f6594,plain,
( element(sK481(sK407),the_carrier(sK407))
| ~ lower_bounded_semilattstr(sK407)
| ~ meet_semilatt_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4654]) ).
fof(f4654,plain,
! [X0] :
( empty_carrier(X0)
| element(sK481(X0),the_carrier(X0))
| ~ meet_semilatt_str(X0)
| ~ lower_bounded_semilattstr(X0) ),
inference(cnf_transformation,[],[f1704]) ).
fof(f7571,plain,
( spl578_227
| ~ spl578_43
| spl578_31 ),
inference(avatar_split_clause,[],[f6499,f6071,f6676,f7569]) ).
fof(f7569,plain,
( spl578_227
<=> ! [X346] : element(meet_of_latt_set(sK407,X346),the_carrier(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_227])]) ).
fof(f6499,plain,
( ! [X346] :
( ~ latt_str(sK407)
| element(meet_of_latt_set(sK407,X346),the_carrier(sK407)) )
| spl578_31 ),
inference(resolution,[],[f6073,f3935]) ).
fof(f3935,plain,
! [X0,X1] :
( ~ latt_str(X0)
| empty_carrier(X0)
| element(meet_of_latt_set(X0,X1),the_carrier(X0)) ),
inference(cnf_transformation,[],[f2046]) ).
fof(f2046,plain,
! [X0,X1] :
( ~ latt_str(X0)
| element(meet_of_latt_set(X0,X1),the_carrier(X0))
| empty_carrier(X0) ),
inference(flattening,[],[f2045]) ).
fof(f2045,plain,
! [X0,X1] :
( element(meet_of_latt_set(X0,X1),the_carrier(X0))
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f234]) ).
fof(f234,axiom,
! [X0,X1] :
( ( latt_str(X0)
& ~ empty_carrier(X0) )
=> element(meet_of_latt_set(X0,X1),the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k16_lattice3) ).
fof(f7567,plain,
( ~ spl578_61
| ~ spl578_60
| spl578_132
| spl578_31 ),
inference(avatar_split_clause,[],[f6447,f6071,f7088,f6746,f6750]) ).
fof(f6447,plain,
( with_infima_relstr(sK407)
| ~ rel_str(sK407)
| ~ boolean_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3791]) ).
fof(f3791,plain,
! [X0] :
( empty_carrier(X0)
| ~ boolean_relstr(X0)
| with_infima_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1731]) ).
fof(f7566,plain,
( ~ spl578_60
| ~ spl578_67
| spl578_226
| spl578_31 ),
inference(avatar_split_clause,[],[f6376,f6071,f7564,f6776,f6746]) ).
fof(f7564,plain,
( spl578_226
<=> ! [X141,X139,X140] :
( ~ element(X140,powerset(the_carrier(sK407)))
| in(X141,sK248(X140,sK407,X139))
| relstr_set_smaller(sK407,sK249(X140,sK407),sK252(X140,sK407))
| ~ finite(X139)
| ~ sP251(X141,X139,sK407,X140)
| ~ element(X139,powerset(X140)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_226])]) ).
fof(f6376,plain,
( ! [X140,X141,X139] :
( ~ element(X140,powerset(the_carrier(sK407)))
| ~ transitive_relstr(sK407)
| ~ element(X139,powerset(X140))
| ~ rel_str(sK407)
| ~ sP251(X141,X139,sK407,X140)
| ~ finite(X139)
| relstr_set_smaller(sK407,sK249(X140,sK407),sK252(X140,sK407))
| in(X141,sK248(X140,sK407,X139)) )
| spl578_31 ),
inference(resolution,[],[f6073,f3441]) ).
fof(f3441,plain,
! [X2,X0,X11,X1] :
( ~ finite(X2)
| ~ element(X0,powerset(the_carrier(X1)))
| relstr_set_smaller(X1,sK249(X0,X1),sK252(X0,X1))
| ~ transitive_relstr(X1)
| ~ sP251(X11,X2,X1,X0)
| empty_carrier(X1)
| in(X11,sK248(X0,X1,X2))
| ~ element(X2,powerset(X0))
| ~ rel_str(X1) ),
inference(cnf_transformation,[],[f1999]) ).
fof(f7562,plain,
( ~ spl578_43
| spl578_225
| ~ spl578_45
| spl578_31 ),
inference(avatar_split_clause,[],[f6586,f6071,f6684,f7560,f6676]) ).
fof(f7560,plain,
( spl578_225
<=> ! [X414] :
( ~ in(X414,a_1_0_filter_1(sK407))
| ordered_pair_as_product_element(the_carrier(sK407),the_carrier(sK407),sK468(sK407,X414),sK469(sK407,X414)) = X414 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_225])]) ).
fof(f6586,plain,
( ! [X414] :
( ~ lattice(sK407)
| ~ in(X414,a_1_0_filter_1(sK407))
| ~ latt_str(sK407)
| ordered_pair_as_product_element(the_carrier(sK407),the_carrier(sK407),sK468(sK407,X414),sK469(sK407,X414)) = X414 )
| spl578_31 ),
inference(resolution,[],[f6073,f4592]) ).
fof(f4592,plain,
! [X0,X1] :
( ordered_pair_as_product_element(the_carrier(X0),the_carrier(X0),sK468(X0,X1),sK469(X0,X1)) = X1
| ~ lattice(X0)
| ~ latt_str(X0)
| ~ in(X1,a_1_0_filter_1(X0))
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1377]) ).
fof(f7558,plain,
( ~ spl578_43
| ~ spl578_224
| spl578_58
| spl578_31 ),
inference(avatar_split_clause,[],[f6269,f6071,f6737,f7555,f6676]) ).
fof(f7555,plain,
( spl578_224
<=> sK34(sK407) = join(sK407,meet(sK407,sK33(sK407),sK34(sK407)),sK34(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_224])]) ).
fof(f6269,plain,
( meet_absorbing(sK407)
| sK34(sK407) != join(sK407,meet(sK407,sK33(sK407),sK34(sK407)),sK34(sK407))
| ~ latt_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2377]) ).
fof(f2377,plain,
! [X0] :
( meet_absorbing(X0)
| empty_carrier(X0)
| join(X0,meet(X0,sK33(X0),sK34(X0)),sK34(X0)) != sK34(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f2165]) ).
fof(f7553,plain,
( spl578_223
| ~ spl578_68
| ~ spl578_60
| spl578_31 ),
inference(avatar_split_clause,[],[f6519,f6071,f6746,f6780,f7551]) ).
fof(f7551,plain,
( spl578_223
<=> ! [X348] :
( ~ element(X348,powerset(the_carrier(sK407)))
| directed_subset(X348,sK407) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_223])]) ).
fof(f6519,plain,
( ! [X348] :
( ~ rel_str(sK407)
| ~ connected_relstr(sK407)
| ~ element(X348,powerset(the_carrier(sK407)))
| directed_subset(X348,sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f4028]) ).
fof(f4028,plain,
! [X0,X1] :
( ~ rel_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ connected_relstr(X0)
| empty_carrier(X0)
| directed_subset(X1,X0) ),
inference(cnf_transformation,[],[f1891]) ).
fof(f1891,plain,
! [X0] :
( ~ connected_relstr(X0)
| empty_carrier(X0)
| ! [X1] :
( ( directed_subset(X1,X0)
& filtered_subset(X1,X0) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0) ),
inference(flattening,[],[f1890]) ).
fof(f1890,plain,
! [X0] :
( ! [X1] :
( ( directed_subset(X1,X0)
& filtered_subset(X1,X0) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0)
| empty_carrier(X0)
| ~ connected_relstr(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( ( rel_str(X0)
& ~ empty_carrier(X0)
& connected_relstr(X0) )
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( directed_subset(X1,X0)
& filtered_subset(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_waybel_3) ).
fof(f7549,plain,
( spl578_66
| ~ spl578_60
| ~ spl578_63
| ~ spl578_170
| spl578_31 ),
inference(avatar_split_clause,[],[f6423,f6071,f7276,f6760,f6746,f6772]) ).
fof(f7276,plain,
( spl578_170
<=> v3_waybel_3(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_170])]) ).
fof(f6423,plain,
( ~ v3_waybel_3(sK407)
| ~ reflexive_relstr(sK407)
| ~ rel_str(sK407)
| up_complete_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3694]) ).
fof(f3694,plain,
! [X0] :
( up_complete_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| ~ v3_waybel_3(X0) ),
inference(cnf_transformation,[],[f1279]) ).
fof(f1279,plain,
! [X0] :
( ~ v3_waybel_3(X0)
| ~ rel_str(X0)
| empty_carrier(X0)
| ~ reflexive_relstr(X0)
| ( ~ empty_carrier(X0)
& up_complete_relstr(X0)
& v2_waybel_3(X0)
& reflexive_relstr(X0) ) ),
inference(flattening,[],[f1278]) ).
fof(f1278,plain,
! [X0] :
( ( ~ empty_carrier(X0)
& up_complete_relstr(X0)
& v2_waybel_3(X0)
& reflexive_relstr(X0) )
| ~ v3_waybel_3(X0)
| empty_carrier(X0)
| ~ reflexive_relstr(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0] :
( rel_str(X0)
=> ( ( v3_waybel_3(X0)
& ~ empty_carrier(X0)
& reflexive_relstr(X0) )
=> ( ~ empty_carrier(X0)
& up_complete_relstr(X0)
& v2_waybel_3(X0)
& reflexive_relstr(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc4_waybel_3) ).
fof(f7548,plain,
( ~ spl578_71
| ~ spl578_69
| spl578_222
| spl578_31 ),
inference(avatar_split_clause,[],[f6434,f6071,f7546,f6785,f6792]) ).
fof(f7546,plain,
( spl578_222
<=> ! [X235] :
( bottom_of_semilattstr(sK407) = X235
| element(sK309(sK407,X235),the_carrier(sK407))
| ~ element(X235,the_carrier(sK407)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_222])]) ).
fof(f6434,plain,
( ! [X235] :
( bottom_of_semilattstr(sK407) = X235
| ~ element(X235,the_carrier(sK407))
| ~ meet_semilatt_str(sK407)
| element(sK309(sK407,X235),the_carrier(sK407))
| ~ lower_bounded_semilattstr(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f3761]) ).
fof(f3761,plain,
! [X0,X1] :
( bottom_of_semilattstr(X0) = X1
| ~ meet_semilatt_str(X0)
| element(sK309(X0,X1),the_carrier(X0))
| ~ lower_bounded_semilattstr(X0)
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1207]) ).
fof(f7544,plain,
( ~ spl578_47
| spl578_221
| spl578_31 ),
inference(avatar_split_clause,[],[f6483,f6071,f7542,f6693]) ).
fof(f7542,plain,
( spl578_221
<=> ! [X324,X325] :
( ~ subnet(X325,sK407,X324)
| empty_carrier(X325)
| ~ directed_relstr(X324)
| ~ transitive_relstr(X324)
| ~ transitive_relstr(X325)
| ~ net_str(X325,sK407)
| ~ net_str(X324,sK407)
| empty_carrier(X324)
| ~ directed_relstr(X325)
| function_of_composition(the_carrier(X325),the_carrier(X324),the_carrier(sK407),sK322(sK407,X324,X325),the_mapping(sK407,X324)) = the_mapping(sK407,X325) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_221])]) ).
fof(f6483,plain,
( ! [X324,X325] :
( ~ subnet(X325,sK407,X324)
| function_of_composition(the_carrier(X325),the_carrier(X324),the_carrier(sK407),sK322(sK407,X324,X325),the_mapping(sK407,X324)) = the_mapping(sK407,X325)
| ~ directed_relstr(X325)
| empty_carrier(X324)
| ~ net_str(X324,sK407)
| ~ net_str(X325,sK407)
| ~ transitive_relstr(X325)
| ~ transitive_relstr(X324)
| ~ directed_relstr(X324)
| ~ one_sorted_str(sK407)
| empty_carrier(X325) )
| spl578_31 ),
inference(resolution,[],[f6073,f3854]) ).
fof(f3854,plain,
! [X2,X0,X1] :
( empty_carrier(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X2)
| ~ transitive_relstr(X1)
| ~ net_str(X2,X0)
| empty_carrier(X2)
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| ~ subnet(X2,X0,X1)
| the_mapping(X0,X2) = function_of_composition(the_carrier(X2),the_carrier(X1),the_carrier(X0),sK322(X0,X1,X2),the_mapping(X0,X1))
| ~ directed_relstr(X2)
| ~ directed_relstr(X1) ),
inference(cnf_transformation,[],[f1785]) ).
fof(f7540,plain,
( ~ spl578_45
| ~ spl578_142
| ~ spl578_43
| spl578_31 ),
inference(avatar_split_clause,[],[f6558,f6071,f6676,f7131,f6684]) ).
fof(f6558,plain,
( ~ latt_str(sK407)
| ~ empty_carrier(poset_of_lattice(sK407))
| ~ lattice(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4314]) ).
fof(f4314,plain,
! [X0] :
( ~ empty_carrier(poset_of_lattice(X0))
| empty_carrier(X0)
| ~ latt_str(X0)
| ~ lattice(X0) ),
inference(cnf_transformation,[],[f1226]) ).
fof(f1226,plain,
! [X0] :
( ~ lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0)
| ( antisymmetric_relstr(poset_of_lattice(X0))
& reflexive_relstr(poset_of_lattice(X0))
& ~ empty_carrier(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0)) ) ),
inference(flattening,[],[f1225]) ).
fof(f1225,plain,
! [X0] :
( ( antisymmetric_relstr(poset_of_lattice(X0))
& reflexive_relstr(poset_of_lattice(X0))
& ~ empty_carrier(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0)) )
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f429]) ).
fof(f429,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& lattice(X0)
& latt_str(X0) )
=> ( antisymmetric_relstr(poset_of_lattice(X0))
& reflexive_relstr(poset_of_lattice(X0))
& ~ empty_carrier(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_lattice3) ).
fof(f7539,plain,
( spl578_220
| ~ spl578_69
| ~ spl578_71
| spl578_31 ),
inference(avatar_split_clause,[],[f6590,f6071,f6792,f6785,f7537]) ).
fof(f7537,plain,
( spl578_220
<=> ! [X418] :
( ~ element(X418,the_carrier(sK407))
| sK481(sK407) = meet(sK407,X418,sK481(sK407)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_220])]) ).
fof(f6590,plain,
( ! [X418] :
( ~ lower_bounded_semilattstr(sK407)
| ~ meet_semilatt_str(sK407)
| ~ element(X418,the_carrier(sK407))
| sK481(sK407) = meet(sK407,X418,sK481(sK407)) )
| spl578_31 ),
inference(resolution,[],[f6073,f4650]) ).
fof(f4650,plain,
! [X2,X0] :
( empty_carrier(X0)
| ~ lower_bounded_semilattstr(X0)
| sK481(X0) = meet(X0,X2,sK481(X0))
| ~ meet_semilatt_str(X0)
| ~ element(X2,the_carrier(X0)) ),
inference(cnf_transformation,[],[f1704]) ).
fof(f7535,plain,
( ~ spl578_44
| ~ spl578_45
| ~ spl578_43
| spl578_219
| spl578_31 ),
inference(avatar_split_clause,[],[f6541,f6071,f7532,f6676,f6684,f6680]) ).
fof(f7532,plain,
( spl578_219
<=> complete_relstr(poset_of_lattice(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_219])]) ).
fof(f6541,plain,
( complete_relstr(poset_of_lattice(sK407))
| ~ latt_str(sK407)
| ~ lattice(sK407)
| ~ complete_latt_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4156]) ).
fof(f4156,plain,
! [X0] :
( ~ lattice(X0)
| empty_carrier(X0)
| ~ complete_latt_str(X0)
| complete_relstr(poset_of_lattice(X0))
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f1679]) ).
fof(f7530,plain,
( ~ spl578_47
| spl578_218
| spl578_31 ),
inference(avatar_split_clause,[],[f6579,f6071,f7528,f6693]) ).
fof(f7528,plain,
( spl578_218
<=> ! [X400,X398,X399] :
( element(sK464(sK407,X398,X399,X400),the_carrier(X398))
| ~ element(X400,the_carrier(X398))
| ~ net_str(X398,sK407)
| is_eventually_in(sK407,X398,X399)
| empty_carrier(X398) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_218])]) ).
fof(f6579,plain,
( ! [X399,X400,X398] :
( element(sK464(sK407,X398,X399,X400),the_carrier(X398))
| empty_carrier(X398)
| is_eventually_in(sK407,X398,X399)
| ~ net_str(X398,sK407)
| ~ one_sorted_str(sK407)
| ~ element(X400,the_carrier(X398)) )
| spl578_31 ),
inference(resolution,[],[f6073,f4549]) ).
fof(f4549,plain,
! [X2,X3,X0,X1] :
( element(sK464(X0,X1,X2,X3),the_carrier(X1))
| is_eventually_in(X0,X1,X2)
| empty_carrier(X0)
| ~ net_str(X1,X0)
| ~ element(X3,the_carrier(X1))
| ~ one_sorted_str(X0)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f1708]) ).
fof(f7526,plain,
( ~ spl578_47
| spl578_217
| spl578_31 ),
inference(avatar_split_clause,[],[f6641,f6071,f7524,f6693]) ).
fof(f7524,plain,
( spl578_217
<=> ! [X452,X451,X450] :
( empty_carrier(X450)
| ~ in(apply_netmap(sK407,X450,X452),X451)
| ~ element(X452,the_carrier(X450))
| is_often_in(sK407,X450,X451)
| ~ net_str(X450,sK407)
| ~ related(X450,sK573(sK407,X450,X451),X452) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_217])]) ).
fof(f6641,plain,
( ! [X452,X451,X450] :
( empty_carrier(X450)
| ~ related(X450,sK573(sK407,X450,X451),X452)
| ~ net_str(X450,sK407)
| ~ one_sorted_str(sK407)
| is_often_in(sK407,X450,X451)
| ~ element(X452,the_carrier(X450))
| ~ in(apply_netmap(sK407,X450,X452),X451) )
| spl578_31 ),
inference(resolution,[],[f6073,f5166]) ).
fof(f5166,plain,
! [X2,X0,X1,X4] :
( is_often_in(X0,X1,X2)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| ~ related(X1,sK573(X0,X1,X2),X4)
| ~ one_sorted_str(X0)
| ~ in(apply_netmap(X0,X1,X4),X2)
| empty_carrier(X1)
| ~ element(X4,the_carrier(X1)) ),
inference(cnf_transformation,[],[f1456]) ).
fof(f7522,plain,
( spl578_82
| ~ spl578_43
| ~ spl578_83
| ~ spl578_71
| spl578_31 ),
inference(avatar_split_clause,[],[f6326,f6071,f6792,f6846,f6676,f6842]) ).
fof(f6326,plain,
( ~ lower_bounded_semilattstr(sK407)
| ~ upper_bounded_semilattstr(sK407)
| ~ latt_str(sK407)
| bounded_lattstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2893]) ).
fof(f2893,plain,
! [X0] :
( ~ lower_bounded_semilattstr(X0)
| ~ upper_bounded_semilattstr(X0)
| bounded_lattstr(X0)
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1229]) ).
fof(f1229,plain,
! [X0] :
( ~ latt_str(X0)
| empty_carrier(X0)
| ~ upper_bounded_semilattstr(X0)
| ( bounded_lattstr(X0)
& ~ empty_carrier(X0) )
| ~ lower_bounded_semilattstr(X0) ),
inference(flattening,[],[f1228]) ).
fof(f1228,plain,
! [X0] :
( ( bounded_lattstr(X0)
& ~ empty_carrier(X0) )
| empty_carrier(X0)
| ~ lower_bounded_semilattstr(X0)
| ~ upper_bounded_semilattstr(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,axiom,
! [X0] :
( latt_str(X0)
=> ( ( ~ empty_carrier(X0)
& lower_bounded_semilattstr(X0)
& upper_bounded_semilattstr(X0) )
=> ( bounded_lattstr(X0)
& ~ empty_carrier(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc3_lattices) ).
fof(f7521,plain,
( ~ spl578_45
| ~ spl578_43
| spl578_216
| spl578_31 ),
inference(avatar_split_clause,[],[f6253,f6071,f7518,f6676,f6684]) ).
fof(f7518,plain,
( spl578_216
<=> a_1_0_filter_1(sK407) = relation_of_lattice(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_216])]) ).
fof(f6253,plain,
( a_1_0_filter_1(sK407) = relation_of_lattice(sK407)
| ~ latt_str(sK407)
| ~ lattice(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2221]) ).
fof(f2221,plain,
! [X0] :
( relation_of_lattice(X0) = a_1_0_filter_1(X0)
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ lattice(X0) ),
inference(cnf_transformation,[],[f1806]) ).
fof(f1806,plain,
! [X0] :
( empty_carrier(X0)
| ~ latt_str(X0)
| relation_of_lattice(X0) = a_1_0_filter_1(X0)
| ~ lattice(X0) ),
inference(flattening,[],[f1805]) ).
fof(f1805,plain,
! [X0] :
( relation_of_lattice(X0) = a_1_0_filter_1(X0)
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f208]) ).
fof(f208,axiom,
! [X0] :
( ( latt_str(X0)
& lattice(X0)
& ~ empty_carrier(X0) )
=> relation_of_lattice(X0) = a_1_0_filter_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_filter_1) ).
fof(f7516,plain,
( ~ spl578_60
| ~ spl578_215
| spl578_31 ),
inference(avatar_split_clause,[],[f6502,f6071,f7513,f6746]) ).
fof(f7513,plain,
( spl578_215
<=> empty(sK343(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_215])]) ).
fof(f6502,plain,
( ~ empty(sK343(sK407))
| ~ rel_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3962]) ).
fof(f3962,plain,
! [X0] :
( ~ empty(sK343(X0))
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1525]) ).
fof(f7511,plain,
( ~ spl578_67
| ~ spl578_74
| spl578_214
| spl578_31 ),
inference(avatar_split_clause,[],[f6487,f6071,f7509,f6806,f6776]) ).
fof(f7509,plain,
( spl578_214
<=> ! [X333,X332] :
( ~ net_str(X332,X333)
| empty_carrier(X333)
| function(sK322(X333,sK407,X332))
| ~ net_str(sK407,X333)
| ~ transitive_relstr(X332)
| empty_carrier(X332)
| ~ subnet(X332,X333,sK407)
| ~ directed_relstr(X332)
| ~ one_sorted_str(X333) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_214])]) ).
fof(f6487,plain,
( ! [X333,X332] :
( ~ net_str(X332,X333)
| ~ one_sorted_str(X333)
| ~ directed_relstr(X332)
| ~ directed_relstr(sK407)
| ~ subnet(X332,X333,sK407)
| empty_carrier(X332)
| ~ transitive_relstr(X332)
| ~ net_str(sK407,X333)
| function(sK322(X333,sK407,X332))
| empty_carrier(X333)
| ~ transitive_relstr(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f3855]) ).
fof(f7507,plain,
( ~ spl578_44
| spl578_156
| ~ spl578_45
| ~ spl578_43
| spl578_31 ),
inference(avatar_split_clause,[],[f6538,f6071,f6676,f6684,f7206,f6680]) ).
fof(f6538,plain,
( ~ latt_str(sK407)
| ~ lattice(sK407)
| with_suprema_relstr(poset_of_lattice(sK407))
| ~ complete_latt_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4153]) ).
fof(f4153,plain,
! [X0] :
( ~ complete_latt_str(X0)
| empty_carrier(X0)
| ~ lattice(X0)
| with_suprema_relstr(poset_of_lattice(X0))
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f1679]) ).
fof(f7506,plain,
( ~ spl578_45
| ~ spl578_43
| spl578_100
| ~ spl578_83
| spl578_31 ),
inference(avatar_split_clause,[],[f6629,f6071,f6846,f6933,f6676,f6684]) ).
fof(f6629,plain,
( ~ upper_bounded_semilattstr(sK407)
| antisymmetric_relstr(poset_of_lattice(sK407))
| ~ latt_str(sK407)
| ~ lattice(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f5069]) ).
fof(f5069,plain,
! [X0] :
( empty_carrier(X0)
| antisymmetric_relstr(poset_of_lattice(X0))
| ~ latt_str(X0)
| ~ upper_bounded_semilattstr(X0)
| ~ lattice(X0) ),
inference(cnf_transformation,[],[f1481]) ).
fof(f7505,plain,
( ~ spl578_60
| spl578_213
| ~ spl578_63
| spl578_31 ),
inference(avatar_split_clause,[],[f6599,f6071,f6760,f7502,f6746]) ).
fof(f7502,plain,
( spl578_213
<=> finite(sK491(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_213])]) ).
fof(f6599,plain,
( ~ reflexive_relstr(sK407)
| finite(sK491(sK407))
| ~ rel_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4703]) ).
fof(f4703,plain,
! [X0] :
( empty_carrier(X0)
| finite(sK491(X0))
| ~ rel_str(X0)
| ~ reflexive_relstr(X0) ),
inference(cnf_transformation,[],[f1920]) ).
fof(f7500,plain,
( ~ spl578_67
| ~ spl578_74
| spl578_212
| spl578_31 ),
inference(avatar_split_clause,[],[f6466,f6071,f7498,f6806,f6776]) ).
fof(f7498,plain,
( spl578_212
<=> ! [X275,X276,X274,X277] :
( subnet(X274,X277,sK407)
| ~ one_sorted_str(X277)
| related(X274,X275,sK325(sK407,X274,X276,X275))
| ~ net_str(sK407,X277)
| the_mapping(X277,X274) != function_of_composition(the_carrier(X274),the_carrier(sK407),the_carrier(X277),X276,the_mapping(X277,sK407))
| empty_carrier(X274)
| ~ function(X276)
| empty_carrier(X277)
| ~ net_str(X274,X277)
| ~ transitive_relstr(X274)
| ~ relation_of2_as_subset(X276,the_carrier(X274),the_carrier(sK407))
| ~ element(X275,the_carrier(X274))
| ~ directed_relstr(X274)
| ~ quasi_total(X276,the_carrier(X274),the_carrier(sK407)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_212])]) ).
fof(f6466,plain,
( ! [X277,X276,X275,X274] :
( subnet(X274,X277,sK407)
| ~ quasi_total(X276,the_carrier(X274),the_carrier(sK407))
| ~ directed_relstr(sK407)
| ~ directed_relstr(X274)
| ~ element(X275,the_carrier(X274))
| ~ transitive_relstr(sK407)
| ~ relation_of2_as_subset(X276,the_carrier(X274),the_carrier(sK407))
| ~ transitive_relstr(X274)
| ~ net_str(X274,X277)
| empty_carrier(X277)
| ~ function(X276)
| empty_carrier(X274)
| the_mapping(X277,X274) != function_of_composition(the_carrier(X274),the_carrier(sK407),the_carrier(X277),X276,the_mapping(X277,sK407))
| ~ net_str(sK407,X277)
| related(X274,X275,sK325(sK407,X274,X276,X275))
| ~ one_sorted_str(X277) )
| spl578_31 ),
inference(resolution,[],[f6073,f3848]) ).
fof(f3848,plain,
! [X2,X3,X0,X1,X5] :
( empty_carrier(X2)
| related(X2,X5,sK325(X1,X2,X3,X5))
| empty_carrier(X0)
| ~ function(X3)
| ~ quasi_total(X3,the_carrier(X2),the_carrier(X1))
| ~ directed_relstr(X1)
| ~ transitive_relstr(X2)
| the_mapping(X0,X2) != function_of_composition(the_carrier(X2),the_carrier(X1),the_carrier(X0),X3,the_mapping(X0,X1))
| ~ net_str(X2,X0)
| ~ element(X5,the_carrier(X2))
| ~ directed_relstr(X2)
| empty_carrier(X1)
| subnet(X2,X0,X1)
| ~ relation_of2_as_subset(X3,the_carrier(X2),the_carrier(X1))
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| ~ transitive_relstr(X1) ),
inference(cnf_transformation,[],[f1785]) ).
fof(f7496,plain,
( ~ spl578_67
| ~ spl578_74
| spl578_211
| spl578_31 ),
inference(avatar_split_clause,[],[f6565,f6071,f7494,f6806,f6776]) ).
fof(f7494,plain,
( spl578_211
<=> ! [X378] :
( ~ one_sorted_str(X378)
| ~ net_str(sK407,X378)
| subnet(sK445(X378,sK407),X378,sK407)
| empty_carrier(X378) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_211])]) ).
fof(f6565,plain,
( ! [X378] :
( ~ one_sorted_str(X378)
| empty_carrier(X378)
| ~ directed_relstr(sK407)
| subnet(sK445(X378,sK407),X378,sK407)
| ~ net_str(sK407,X378)
| ~ transitive_relstr(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f4420]) ).
fof(f4420,plain,
! [X0,X1] :
( empty_carrier(X0)
| ~ transitive_relstr(X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0)
| subnet(sK445(X0,X1),X0,X1)
| empty_carrier(X1)
| ~ directed_relstr(X1) ),
inference(cnf_transformation,[],[f1234]) ).
fof(f1234,plain,
! [X1,X0] :
( ~ transitive_relstr(X1)
| empty_carrier(X1)
| empty_carrier(X0)
| ~ directed_relstr(X1)
| ? [X2] : subnet(X2,X0,X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f1233]) ).
fof(f1233,plain,
! [X1,X0] :
( ? [X2] : subnet(X2,X0,X1)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ net_str(X1,X0)
| empty_carrier(X1) ),
inference(ennf_transformation,[],[f350]) ).
fof(f350,axiom,
! [X1,X0] :
( ( directed_relstr(X1)
& transitive_relstr(X1)
& one_sorted_str(X0)
& ~ empty_carrier(X0)
& net_str(X1,X0)
& ~ empty_carrier(X1) )
=> ? [X2] : subnet(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_yellow_6) ).
fof(f7492,plain,
( ~ spl578_171
| spl578_210
| spl578_31 ),
inference(avatar_split_clause,[],[f6489,f6071,f7490,f7281]) ).
fof(f7490,plain,
( spl578_210
<=> ! [X337,X336] :
( join(sK407,X336,X337) != X337
| ~ element(X336,the_carrier(sK407))
| below(sK407,X336,X337)
| ~ element(X337,the_carrier(sK407)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_210])]) ).
fof(f6489,plain,
( ! [X337,X336] :
( join(sK407,X336,X337) != X337
| ~ element(X337,the_carrier(sK407))
| below(sK407,X336,X337)
| ~ element(X336,the_carrier(sK407))
| ~ join_semilatt_str(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f3856]) ).
fof(f3856,plain,
! [X2,X0,X1] :
( empty_carrier(X0)
| below(X0,X1,X2)
| ~ join_semilatt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| join(X0,X1,X2) != X2 ),
inference(cnf_transformation,[],[f1364]) ).
fof(f1364,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( below(X0,X1,X2)
<=> join(X0,X1,X2) = X2 )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ join_semilatt_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f1363]) ).
fof(f1363,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( below(X0,X1,X2)
<=> join(X0,X1,X2) = X2 )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ join_semilatt_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f170]) ).
fof(f170,axiom,
! [X0] :
( ( join_semilatt_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( below(X0,X1,X2)
<=> join(X0,X1,X2) = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_lattices) ).
fof(f7488,plain,
( ~ spl578_43
| ~ spl578_45
| spl578_209
| spl578_31 ),
inference(avatar_split_clause,[],[f6589,f6071,f7486,f6684,f6676]) ).
fof(f7486,plain,
( spl578_209
<=> ! [X417] :
( below_refl(sK407,sK468(sK407,X417),sK469(sK407,X417))
| ~ in(X417,a_1_0_filter_1(sK407)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_209])]) ).
fof(f6589,plain,
( ! [X417] :
( below_refl(sK407,sK468(sK407,X417),sK469(sK407,X417))
| ~ in(X417,a_1_0_filter_1(sK407))
| ~ lattice(sK407)
| ~ latt_str(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f4595]) ).
fof(f4595,plain,
! [X0,X1] :
( below_refl(X0,sK468(X0,X1),sK469(X0,X1))
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ in(X1,a_1_0_filter_1(X0))
| ~ lattice(X0) ),
inference(cnf_transformation,[],[f1377]) ).
fof(f7484,plain,
( ~ spl578_43
| ~ spl578_44
| spl578_208
| ~ spl578_45
| spl578_31 ),
inference(avatar_split_clause,[],[f6673,f6071,f6684,f7482,f6680,f6676]) ).
fof(f7482,plain,
( spl578_208
<=> ! [X525,X526] :
( below(sK407,join_of_latt_set(sK407,X526),X525)
| ~ element(join_of_latt_set(sK407,X526),the_carrier(sK407))
| ~ element(X525,the_carrier(sK407))
| ~ latt_element_smaller(sK407,X525,X526) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_208])]) ).
fof(f6673,plain,
( ! [X526,X525] :
( ~ lattice(sK407)
| below(sK407,join_of_latt_set(sK407,X526),X525)
| ~ latt_element_smaller(sK407,X525,X526)
| ~ complete_latt_str(sK407)
| ~ element(X525,the_carrier(sK407))
| ~ element(join_of_latt_set(sK407,X526),the_carrier(sK407))
| ~ latt_str(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f5417]) ).
fof(f5417,plain,
! [X2,X3,X0] :
( ~ latt_element_smaller(X0,X3,X2)
| ~ latt_str(X0)
| ~ complete_latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| below(X0,join_of_latt_set(X0,X2),X3)
| ~ element(join_of_latt_set(X0,X2),the_carrier(X0))
| ~ element(X3,the_carrier(X0)) ),
inference(equality_resolution,[],[f4197]) ).
fof(f4197,plain,
! [X2,X3,X0,X1] :
( join_of_latt_set(X0,X2) != X1
| ~ element(X3,the_carrier(X0))
| ~ latt_element_smaller(X0,X3,X2)
| below(X0,X1,X3)
| ~ element(X1,the_carrier(X0))
| ~ lattice(X0)
| ~ latt_str(X0)
| ~ complete_latt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f2002]) ).
fof(f7480,plain,
( ~ spl578_43
| spl578_136
| ~ spl578_52
| ~ spl578_45
| spl578_31 ),
inference(avatar_split_clause,[],[f6298,f6071,f6684,f6714,f7105,f6676]) ).
fof(f7105,plain,
( spl578_136
<=> join_associative(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_136])]) ).
fof(f6298,plain,
( ~ lattice(sK407)
| ~ distributive_lattstr(sK407)
| join_associative(sK407)
| ~ latt_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2767]) ).
fof(f2767,plain,
! [X0] :
( ~ distributive_lattstr(X0)
| join_associative(X0)
| empty_carrier(X0)
| ~ latt_str(X0)
| ~ lattice(X0) ),
inference(cnf_transformation,[],[f2090]) ).
fof(f2090,plain,
! [X0] :
( ( ~ empty_carrier(X0)
& meet_associative(X0)
& join_commutative(X0)
& join_associative(X0)
& meet_commutative(X0)
& join_absorbing(X0)
& meet_absorbing(X0)
& lattice(X0) )
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ lattice(X0)
| ~ distributive_lattstr(X0) ),
inference(flattening,[],[f2089]) ).
fof(f2089,plain,
! [X0] :
( ( ~ empty_carrier(X0)
& meet_associative(X0)
& join_commutative(X0)
& join_associative(X0)
& meet_commutative(X0)
& join_absorbing(X0)
& meet_absorbing(X0)
& lattice(X0) )
| ~ distributive_lattstr(X0)
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f1172]) ).
fof(f1172,plain,
! [X0] :
( latt_str(X0)
=> ( ( distributive_lattstr(X0)
& ~ empty_carrier(X0)
& lattice(X0) )
=> ( ~ empty_carrier(X0)
& meet_associative(X0)
& join_commutative(X0)
& join_associative(X0)
& meet_commutative(X0)
& join_absorbing(X0)
& meet_absorbing(X0)
& lattice(X0) ) ) ),
inference(pure_predicate_removal,[],[f82]) ).
fof(f82,axiom,
! [X0] :
( latt_str(X0)
=> ( ( distributive_lattstr(X0)
& ~ empty_carrier(X0)
& lattice(X0) )
=> ( join_associative(X0)
& lattice(X0)
& meet_commutative(X0)
& meet_absorbing(X0)
& meet_associative(X0)
& ~ empty_carrier(X0)
& join_absorbing(X0)
& join_commutative(X0)
& modular_lattstr(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc7_lattices) ).
fof(f7479,plain,
( spl578_207
| ~ spl578_67
| ~ spl578_60
| spl578_31 ),
inference(avatar_split_clause,[],[f6380,f6071,f6746,f6776,f7477]) ).
fof(f7477,plain,
( spl578_207
<=> ! [X153,X152,X151] :
( element(sK252(X153,sK407),the_carrier(sK407))
| sP251(X151,X152,sK407,X153)
| ~ finite(X152)
| ~ element(X152,powerset(X153))
| ~ element(X153,powerset(the_carrier(sK407)))
| ~ in(X151,sK248(X153,sK407,X152)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_207])]) ).
fof(f6380,plain,
( ! [X152,X153,X151] :
( ~ rel_str(sK407)
| ~ transitive_relstr(sK407)
| element(sK252(X153,sK407),the_carrier(sK407))
| ~ in(X151,sK248(X153,sK407,X152))
| ~ element(X153,powerset(the_carrier(sK407)))
| ~ element(X152,powerset(X153))
| ~ finite(X152)
| sP251(X151,X152,sK407,X153) )
| spl578_31 ),
inference(resolution,[],[f6073,f3445]) ).
fof(f3445,plain,
! [X2,X0,X11,X1] :
( sP251(X11,X2,X1,X0)
| ~ rel_str(X1)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ element(X2,powerset(X0))
| ~ element(X0,powerset(the_carrier(X1)))
| element(sK252(X0,X1),the_carrier(X1))
| ~ in(X11,sK248(X0,X1,X2))
| ~ finite(X2) ),
inference(cnf_transformation,[],[f1999]) ).
fof(f7475,plain,
( ~ spl578_53
| spl578_206
| ~ spl578_43
| spl578_31 ),
inference(avatar_split_clause,[],[f6495,f6071,f6676,f7472,f6718]) ).
fof(f6495,plain,
( ~ latt_str(sK407)
| complemented_lattstr(sK407)
| ~ boolean_lattstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3930]) ).
fof(f3930,plain,
! [X0] :
( ~ latt_str(X0)
| empty_carrier(X0)
| ~ boolean_lattstr(X0)
| complemented_lattstr(X0) ),
inference(cnf_transformation,[],[f1588]) ).
fof(f1588,plain,
! [X0] :
( empty_carrier(X0)
| ~ latt_str(X0)
| ~ boolean_lattstr(X0)
| ( complemented_lattstr(X0)
& lower_bounded_semilattstr(X0)
& distributive_lattstr(X0)
& bounded_lattstr(X0)
& upper_bounded_semilattstr(X0)
& ~ empty_carrier(X0) ) ),
inference(flattening,[],[f1587]) ).
fof(f1587,plain,
! [X0] :
( ( complemented_lattstr(X0)
& lower_bounded_semilattstr(X0)
& distributive_lattstr(X0)
& bounded_lattstr(X0)
& upper_bounded_semilattstr(X0)
& ~ empty_carrier(X0) )
| empty_carrier(X0)
| ~ boolean_lattstr(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,axiom,
! [X0] :
( latt_str(X0)
=> ( ( ~ empty_carrier(X0)
& boolean_lattstr(X0) )
=> ( complemented_lattstr(X0)
& lower_bounded_semilattstr(X0)
& distributive_lattstr(X0)
& bounded_lattstr(X0)
& upper_bounded_semilattstr(X0)
& ~ empty_carrier(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc5_lattices) ).
fof(f7470,plain,
( ~ spl578_43
| ~ spl578_45
| spl578_205
| spl578_31 ),
inference(avatar_split_clause,[],[f6272,f6071,f7468,f6684,f6676]) ).
fof(f7468,plain,
( spl578_205
<=> ! [X12] :
( cast_to_el_of_lattice(sK407,X12) = X12
| ~ element(X12,the_carrier(poset_of_lattice(sK407))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_205])]) ).
fof(f6272,plain,
( ! [X12] :
( cast_to_el_of_lattice(sK407,X12) = X12
| ~ lattice(sK407)
| ~ latt_str(sK407)
| ~ element(X12,the_carrier(poset_of_lattice(sK407))) )
| spl578_31 ),
inference(resolution,[],[f6073,f2397]) ).
fof(f2397,plain,
! [X0,X1] :
( cast_to_el_of_lattice(X0,X1) = X1
| ~ lattice(X0)
| ~ element(X1,the_carrier(poset_of_lattice(X0)))
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1647]) ).
fof(f1647,plain,
! [X0] :
( ~ lattice(X0)
| empty_carrier(X0)
| ! [X1] :
( cast_to_el_of_lattice(X0,X1) = X1
| ~ element(X1,the_carrier(poset_of_lattice(X0))) )
| ~ latt_str(X0) ),
inference(flattening,[],[f1646]) ).
fof(f1646,plain,
! [X0] :
( ! [X1] :
( cast_to_el_of_lattice(X0,X1) = X1
| ~ element(X1,the_carrier(poset_of_lattice(X0))) )
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f178]) ).
fof(f178,axiom,
! [X0] :
( ( latt_str(X0)
& lattice(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(poset_of_lattice(X0)))
=> cast_to_el_of_lattice(X0,X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_lattice3) ).
fof(f7466,plain,
( ~ spl578_47
| spl578_204
| spl578_31 ),
inference(avatar_split_clause,[],[f6601,f6071,f7464,f6693]) ).
fof(f7464,plain,
( spl578_204
<=> ! [X427,X426,X425] :
( ~ one_sorted_str(X426)
| empty_carrier(X426)
| ~ element(X427,the_carrier(X426))
| ~ relation_of2(X425,the_carrier(X426),the_carrier(sK407))
| ~ quasi_total(X425,the_carrier(X426),the_carrier(sK407))
| apply(X425,X427) = apply_on_structs(X426,sK407,X425,X427)
| ~ function(X425) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_204])]) ).
fof(f6601,plain,
( ! [X425,X427,X426] :
( ~ one_sorted_str(X426)
| ~ function(X425)
| apply(X425,X427) = apply_on_structs(X426,sK407,X425,X427)
| ~ quasi_total(X425,the_carrier(X426),the_carrier(sK407))
| ~ relation_of2(X425,the_carrier(X426),the_carrier(sK407))
| ~ one_sorted_str(sK407)
| ~ element(X427,the_carrier(X426))
| empty_carrier(X426) )
| spl578_31 ),
inference(resolution,[],[f6073,f4704]) ).
fof(f7462,plain,
( ~ spl578_52
| spl578_57
| ~ spl578_43
| ~ spl578_45
| spl578_31 ),
inference(avatar_split_clause,[],[f6296,f6071,f6684,f6676,f6733,f6714]) ).
fof(f6296,plain,
( ~ lattice(sK407)
| ~ latt_str(sK407)
| join_absorbing(sK407)
| ~ distributive_lattstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2765]) ).
fof(f2765,plain,
! [X0] :
( empty_carrier(X0)
| join_absorbing(X0)
| ~ distributive_lattstr(X0)
| ~ latt_str(X0)
| ~ lattice(X0) ),
inference(cnf_transformation,[],[f2090]) ).
fof(f7461,plain,
( spl578_203
| ~ spl578_171
| ~ spl578_137
| spl578_31 ),
inference(avatar_split_clause,[],[f6401,f6071,f7109,f7281,f7459]) ).
fof(f7459,plain,
( spl578_203
<=> ! [X189,X188] :
( ~ element(X188,the_carrier(sK407))
| ~ element(X189,the_carrier(sK407))
| join_commut(sK407,X189,X188) = join(sK407,X189,X188) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_203])]) ).
fof(f6401,plain,
( ! [X188,X189] :
( ~ join_commutative(sK407)
| ~ join_semilatt_str(sK407)
| ~ element(X188,the_carrier(sK407))
| join_commut(sK407,X189,X188) = join(sK407,X189,X188)
| ~ element(X189,the_carrier(sK407)) )
| spl578_31 ),
inference(resolution,[],[f6073,f3574]) ).
fof(f3574,plain,
! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| join(X1,X2,X0) = join_commut(X1,X2,X0)
| ~ join_commutative(X1)
| empty_carrier(X1)
| ~ join_semilatt_str(X1) ),
inference(cnf_transformation,[],[f1176]) ).
fof(f1176,plain,
! [X2,X1,X0] :
( ~ element(X2,the_carrier(X1))
| empty_carrier(X1)
| ~ join_commutative(X1)
| ~ join_semilatt_str(X1)
| join(X1,X2,X0) = join_commut(X1,X2,X0)
| ~ element(X0,the_carrier(X1)) ),
inference(flattening,[],[f1175]) ).
fof(f1175,plain,
! [X1,X0,X2] :
( join(X1,X2,X0) = join_commut(X1,X2,X0)
| ~ element(X2,the_carrier(X1))
| empty_carrier(X1)
| ~ join_semilatt_str(X1)
| ~ element(X0,the_carrier(X1))
| ~ join_commutative(X1) ),
inference(ennf_transformation,[],[f1045]) ).
fof(f1045,plain,
! [X1,X0,X2] :
( ( element(X2,the_carrier(X1))
& ~ empty_carrier(X1)
& join_semilatt_str(X1)
& element(X0,the_carrier(X1))
& join_commutative(X1) )
=> join(X1,X2,X0) = join_commut(X1,X2,X0) ),
inference(rectify,[],[f576]) ).
fof(f576,axiom,
! [X2,X0,X1] :
( ( element(X1,the_carrier(X0))
& ~ empty_carrier(X0)
& join_semilatt_str(X0)
& join_commutative(X0)
& element(X2,the_carrier(X0)) )
=> join_commut(X0,X1,X2) = join(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k3_lattices) ).
fof(f7457,plain,
( ~ spl578_43
| ~ spl578_71
| ~ spl578_45
| spl578_62
| spl578_31 ),
inference(avatar_split_clause,[],[f6353,f6071,f6755,f6684,f6792,f6676]) ).
fof(f6353,plain,
( transitive_relstr(poset_of_lattice(sK407))
| ~ lattice(sK407)
| ~ lower_bounded_semilattstr(sK407)
| ~ latt_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3117]) ).
fof(f3117,plain,
! [X0] :
( transitive_relstr(poset_of_lattice(X0))
| ~ lower_bounded_semilattstr(X0)
| ~ lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f2135]) ).
fof(f7456,plain,
( ~ spl578_45
| spl578_100
| ~ spl578_43
| spl578_31 ),
inference(avatar_split_clause,[],[f6504,f6071,f6676,f6933,f6684]) ).
fof(f6504,plain,
( ~ latt_str(sK407)
| antisymmetric_relstr(poset_of_lattice(sK407))
| ~ lattice(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3964]) ).
fof(f3964,plain,
! [X0] :
( antisymmetric_relstr(poset_of_lattice(X0))
| ~ lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f2005]) ).
fof(f7455,plain,
( ~ spl578_142
| ~ spl578_45
| ~ spl578_43
| spl578_31 ),
inference(avatar_split_clause,[],[f6453,f6071,f6676,f6684,f7131]) ).
fof(f6453,plain,
( ~ latt_str(sK407)
| ~ lattice(sK407)
| ~ empty_carrier(poset_of_lattice(sK407))
| spl578_31 ),
inference(resolution,[],[f6073,f3820]) ).
fof(f3820,plain,
! [X0] :
( ~ lattice(X0)
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ empty_carrier(poset_of_lattice(X0)) ),
inference(cnf_transformation,[],[f2071]) ).
fof(f2071,plain,
! [X0] :
( empty_carrier(X0)
| ( reflexive_relstr(poset_of_lattice(X0))
& with_infima_relstr(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0))
& ~ empty_carrier(poset_of_lattice(X0))
& with_suprema_relstr(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0)) )
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(flattening,[],[f2070]) ).
fof(f2070,plain,
! [X0] :
( ( reflexive_relstr(poset_of_lattice(X0))
& with_infima_relstr(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0))
& ~ empty_carrier(poset_of_lattice(X0))
& with_suprema_relstr(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0)) )
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f380]) ).
fof(f380,axiom,
! [X0] :
( ( latt_str(X0)
& lattice(X0)
& ~ empty_carrier(X0) )
=> ( reflexive_relstr(poset_of_lattice(X0))
& with_infima_relstr(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0))
& ~ empty_carrier(poset_of_lattice(X0))
& with_suprema_relstr(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_yellow_1) ).
fof(f7454,plain,
( spl578_202
| spl578_31
| ~ spl578_39
| ~ spl578_40 ),
inference(avatar_split_clause,[],[f7449,f6189,f6183,f6071,f7451]) ).
fof(f7449,plain,
( element(sK86(sK407),powerset(the_carrier(sK407)))
| spl578_31
| ~ spl578_39
| ~ spl578_40 ),
inference(subsumption_resolution,[],[f7448,f6185]) ).
fof(f7448,plain,
( element(sK86(sK407),powerset(the_carrier(sK407)))
| ~ top_str(sK407)
| spl578_31
| ~ spl578_40 ),
inference(subsumption_resolution,[],[f6289,f6191]) ).
fof(f6289,plain,
( element(sK86(sK407),powerset(the_carrier(sK407)))
| ~ topological_space(sK407)
| ~ top_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2661]) ).
fof(f2661,plain,
! [X0] :
( ~ topological_space(X0)
| element(sK86(X0),powerset(the_carrier(X0)))
| ~ top_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1209]) ).
fof(f7447,plain,
( ~ spl578_74
| ~ spl578_67
| spl578_201
| spl578_31 ),
inference(avatar_split_clause,[],[f6460,f6071,f7445,f6776,f6806]) ).
fof(f7445,plain,
( spl578_201
<=> ! [X253,X252,X251,X250] :
( ~ net_str(X251,X250)
| subnet(X251,X250,sK407)
| the_mapping(X250,X251) != function_of_composition(the_carrier(X251),the_carrier(sK407),the_carrier(X250),X252,the_mapping(X250,sK407))
| element(sK325(sK407,X251,X252,X253),the_carrier(X251))
| ~ element(X253,the_carrier(X251))
| ~ function(X252)
| ~ relation_of2_as_subset(X252,the_carrier(X251),the_carrier(sK407))
| ~ directed_relstr(X251)
| empty_carrier(X250)
| empty_carrier(X251)
| ~ transitive_relstr(X251)
| ~ one_sorted_str(X250)
| ~ quasi_total(X252,the_carrier(X251),the_carrier(sK407))
| ~ net_str(sK407,X250) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_201])]) ).
fof(f6460,plain,
( ! [X253,X250,X251,X252] :
( ~ net_str(X251,X250)
| ~ net_str(sK407,X250)
| ~ quasi_total(X252,the_carrier(X251),the_carrier(sK407))
| ~ transitive_relstr(sK407)
| ~ one_sorted_str(X250)
| ~ transitive_relstr(X251)
| empty_carrier(X251)
| empty_carrier(X250)
| ~ directed_relstr(X251)
| ~ relation_of2_as_subset(X252,the_carrier(X251),the_carrier(sK407))
| ~ function(X252)
| ~ element(X253,the_carrier(X251))
| element(sK325(sK407,X251,X252,X253),the_carrier(X251))
| the_mapping(X250,X251) != function_of_composition(the_carrier(X251),the_carrier(sK407),the_carrier(X250),X252,the_mapping(X250,sK407))
| subnet(X251,X250,sK407)
| ~ directed_relstr(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f3846]) ).
fof(f3846,plain,
! [X2,X3,X0,X1,X5] :
( ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| the_mapping(X0,X2) != function_of_composition(the_carrier(X2),the_carrier(X1),the_carrier(X0),X3,the_mapping(X0,X1))
| ~ one_sorted_str(X0)
| ~ transitive_relstr(X2)
| ~ relation_of2_as_subset(X3,the_carrier(X2),the_carrier(X1))
| empty_carrier(X0)
| ~ quasi_total(X3,the_carrier(X2),the_carrier(X1))
| ~ directed_relstr(X2)
| ~ function(X3)
| empty_carrier(X1)
| ~ element(X5,the_carrier(X2))
| element(sK325(X1,X2,X3,X5),the_carrier(X2))
| subnet(X2,X0,X1)
| ~ net_str(X2,X0)
| ~ transitive_relstr(X1)
| empty_carrier(X2) ),
inference(cnf_transformation,[],[f1785]) ).
fof(f7443,plain,
( ~ spl578_60
| ~ spl578_67
| spl578_200
| spl578_31 ),
inference(avatar_split_clause,[],[f6381,f6071,f7441,f6776,f6746]) ).
fof(f7441,plain,
( spl578_200
<=> ! [X156,X155,X154] :
( ~ in(X154,sK248(X155,sK407,X156))
| sP251(X154,X156,sK407,X155)
| sK250(X155,sK407) = sK246(X155,sK407)
| ~ element(X155,powerset(the_carrier(sK407)))
| ~ element(X156,powerset(X155))
| ~ finite(X156) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_200])]) ).
fof(f6381,plain,
( ! [X155,X156,X154] :
( ~ in(X154,sK248(X155,sK407,X156))
| ~ finite(X156)
| ~ element(X156,powerset(X155))
| ~ transitive_relstr(sK407)
| ~ element(X155,powerset(the_carrier(sK407)))
| ~ rel_str(sK407)
| sK250(X155,sK407) = sK246(X155,sK407)
| sP251(X154,X156,sK407,X155) )
| spl578_31 ),
inference(resolution,[],[f6073,f3446]) ).
fof(f3446,plain,
! [X2,X0,X11,X1] :
( ~ transitive_relstr(X1)
| ~ in(X11,sK248(X0,X1,X2))
| ~ finite(X2)
| sP251(X11,X2,X1,X0)
| ~ rel_str(X1)
| sK246(X0,X1) = sK250(X0,X1)
| ~ element(X2,powerset(X0))
| empty_carrier(X1)
| ~ element(X0,powerset(the_carrier(X1))) ),
inference(cnf_transformation,[],[f1999]) ).
fof(f7439,plain,
( ~ spl578_67
| ~ spl578_60
| spl578_199
| spl578_31 ),
inference(avatar_split_clause,[],[f6384,f6071,f7437,f6746,f6776]) ).
fof(f7437,plain,
( spl578_199
<=> ! [X163,X165,X164] :
( sK247(X165,sK407) = sK249(X165,sK407)
| ~ element(X165,powerset(the_carrier(sK407)))
| ~ sP251(X163,X164,sK407,X165)
| in(X163,sK248(X165,sK407,X164))
| ~ finite(X164)
| ~ element(X164,powerset(X165)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_199])]) ).
fof(f6384,plain,
( ! [X163,X164,X165] :
( sK247(X165,sK407) = sK249(X165,sK407)
| ~ element(X164,powerset(X165))
| ~ rel_str(sK407)
| ~ transitive_relstr(sK407)
| ~ finite(X164)
| in(X163,sK248(X165,sK407,X164))
| ~ sP251(X163,X164,sK407,X165)
| ~ element(X165,powerset(the_carrier(sK407))) )
| spl578_31 ),
inference(resolution,[],[f6073,f3449]) ).
fof(f3449,plain,
! [X2,X0,X11,X1] :
( ~ rel_str(X1)
| ~ sP251(X11,X2,X1,X0)
| empty_carrier(X1)
| ~ element(X2,powerset(X0))
| sK249(X0,X1) = sK247(X0,X1)
| in(X11,sK248(X0,X1,X2))
| ~ element(X0,powerset(the_carrier(X1)))
| ~ finite(X2)
| ~ transitive_relstr(X1) ),
inference(cnf_transformation,[],[f1999]) ).
fof(f7435,plain,
( ~ spl578_60
| ~ spl578_67
| spl578_198
| spl578_31 ),
inference(avatar_split_clause,[],[f6388,f6071,f7433,f6776,f6746]) ).
fof(f7433,plain,
( spl578_198
<=> ! [X176,X177,X175] :
( ~ finite(X177)
| sK246(X176,sK407) != sK247(X176,sK407)
| sP251(X175,X177,sK407,X176)
| ~ in(X175,sK248(X176,sK407,X177))
| ~ element(X177,powerset(X176))
| ~ element(X176,powerset(the_carrier(sK407))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_198])]) ).
fof(f6388,plain,
( ! [X176,X177,X175] :
( ~ finite(X177)
| ~ element(X176,powerset(the_carrier(sK407)))
| ~ transitive_relstr(sK407)
| ~ element(X177,powerset(X176))
| ~ in(X175,sK248(X176,sK407,X177))
| sP251(X175,X177,sK407,X176)
| sK246(X176,sK407) != sK247(X176,sK407)
| ~ rel_str(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f3453]) ).
fof(f3453,plain,
! [X2,X0,X11,X1] :
( ~ in(X11,sK248(X0,X1,X2))
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ element(X0,powerset(the_carrier(X1)))
| ~ finite(X2)
| sK246(X0,X1) != sK247(X0,X1)
| ~ element(X2,powerset(X0))
| sP251(X11,X2,X1,X0)
| ~ rel_str(X1) ),
inference(cnf_transformation,[],[f1999]) ).
fof(f7431,plain,
( ~ spl578_43
| spl578_197
| spl578_31 ),
inference(avatar_split_clause,[],[f6496,f6071,f7429,f6676]) ).
fof(f7429,plain,
( spl578_197
<=> ! [X340,X341] :
( ~ in(X340,a_2_2_lattice3(sK407,X341))
| element(sK336(X341,sK407,X340),the_carrier(sK407)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_197])]) ).
fof(f6496,plain,
( ! [X341,X340] :
( ~ in(X340,a_2_2_lattice3(sK407,X341))
| element(sK336(X341,sK407,X340),the_carrier(sK407))
| ~ latt_str(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f3931]) ).
fof(f3931,plain,
! [X2,X0,X1] :
( ~ in(X2,a_2_2_lattice3(X1,X0))
| element(sK336(X0,X1,X2),the_carrier(X1))
| empty_carrier(X1)
| ~ latt_str(X1) ),
inference(cnf_transformation,[],[f1722]) ).
fof(f7424,plain,
( ~ spl578_67
| ~ spl578_74
| spl578_196
| spl578_31 ),
inference(avatar_split_clause,[],[f6463,f6071,f7422,f6806,f6776]) ).
fof(f7422,plain,
( spl578_196
<=> ! [X262,X265,X264,X263] :
( ~ related(sK407,sK323(sK407,X263,X262),apply_on_set_and_struct(the_carrier(X263),sK407,X262,sK325(sK407,X263,X262,X264)))
| ~ quasi_total(X262,the_carrier(X263),the_carrier(sK407))
| ~ net_str(sK407,X265)
| empty_carrier(X263)
| ~ directed_relstr(X263)
| ~ transitive_relstr(X263)
| ~ net_str(X263,X265)
| ~ function(X262)
| ~ one_sorted_str(X265)
| subnet(X263,X265,sK407)
| ~ relation_of2_as_subset(X262,the_carrier(X263),the_carrier(sK407))
| ~ element(X264,the_carrier(X263))
| function_of_composition(the_carrier(X263),the_carrier(sK407),the_carrier(X265),X262,the_mapping(X265,sK407)) != the_mapping(X265,X263)
| empty_carrier(X265) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_196])]) ).
fof(f6463,plain,
( ! [X263,X262,X264,X265] :
( ~ related(sK407,sK323(sK407,X263,X262),apply_on_set_and_struct(the_carrier(X263),sK407,X262,sK325(sK407,X263,X262,X264)))
| empty_carrier(X265)
| function_of_composition(the_carrier(X263),the_carrier(sK407),the_carrier(X265),X262,the_mapping(X265,sK407)) != the_mapping(X265,X263)
| ~ element(X264,the_carrier(X263))
| ~ relation_of2_as_subset(X262,the_carrier(X263),the_carrier(sK407))
| subnet(X263,X265,sK407)
| ~ one_sorted_str(X265)
| ~ function(X262)
| ~ net_str(X263,X265)
| ~ directed_relstr(sK407)
| ~ transitive_relstr(X263)
| ~ transitive_relstr(sK407)
| ~ directed_relstr(X263)
| empty_carrier(X263)
| ~ net_str(sK407,X265)
| ~ quasi_total(X262,the_carrier(X263),the_carrier(sK407)) )
| spl578_31 ),
inference(resolution,[],[f6073,f3847]) ).
fof(f3847,plain,
! [X2,X3,X0,X1,X5] :
( ~ quasi_total(X3,the_carrier(X2),the_carrier(X1))
| ~ relation_of2_as_subset(X3,the_carrier(X2),the_carrier(X1))
| ~ element(X5,the_carrier(X2))
| ~ one_sorted_str(X0)
| the_mapping(X0,X2) != function_of_composition(the_carrier(X2),the_carrier(X1),the_carrier(X0),X3,the_mapping(X0,X1))
| empty_carrier(X0)
| ~ transitive_relstr(X1)
| subnet(X2,X0,X1)
| ~ directed_relstr(X2)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ directed_relstr(X1)
| ~ related(X1,sK323(X1,X2,X3),apply_on_set_and_struct(the_carrier(X2),X1,X3,sK325(X1,X2,X3,X5)))
| ~ function(X3)
| ~ transitive_relstr(X2)
| ~ net_str(X1,X0)
| ~ net_str(X2,X0) ),
inference(cnf_transformation,[],[f1785]) ).
fof(f7420,plain,
( ~ spl578_52
| ~ spl578_45
| spl578_49
| ~ spl578_43
| spl578_31 ),
inference(avatar_split_clause,[],[f6300,f6071,f6676,f6701,f6684,f6714]) ).
fof(f6701,plain,
( spl578_49
<=> meet_associative(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_49])]) ).
fof(f6300,plain,
( ~ latt_str(sK407)
| meet_associative(sK407)
| ~ lattice(sK407)
| ~ distributive_lattstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2769]) ).
fof(f2769,plain,
! [X0] :
( ~ latt_str(X0)
| ~ distributive_lattstr(X0)
| empty_carrier(X0)
| meet_associative(X0)
| ~ lattice(X0) ),
inference(cnf_transformation,[],[f2090]) ).
fof(f7419,plain,
( ~ spl578_171
| spl578_195
| spl578_31 ),
inference(avatar_split_clause,[],[f6490,f6071,f7417,f7281]) ).
fof(f7417,plain,
( spl578_195
<=> ! [X339,X338] :
( join(sK407,X338,X339) = X339
| ~ element(X338,the_carrier(sK407))
| ~ element(X339,the_carrier(sK407))
| ~ below(sK407,X338,X339) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_195])]) ).
fof(f6490,plain,
( ! [X339,X338] :
( join(sK407,X338,X339) = X339
| ~ below(sK407,X338,X339)
| ~ element(X339,the_carrier(sK407))
| ~ join_semilatt_str(sK407)
| ~ element(X338,the_carrier(sK407)) )
| spl578_31 ),
inference(resolution,[],[f6073,f3857]) ).
fof(f3857,plain,
! [X2,X0,X1] :
( ~ below(X0,X1,X2)
| empty_carrier(X0)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| join(X0,X1,X2) = X2
| ~ join_semilatt_str(X0) ),
inference(cnf_transformation,[],[f1364]) ).
fof(f7415,plain,
( ~ spl578_61
| ~ spl578_60
| spl578_67
| spl578_31 ),
inference(avatar_split_clause,[],[f6448,f6071,f6776,f6746,f6750]) ).
fof(f6448,plain,
( transitive_relstr(sK407)
| ~ rel_str(sK407)
| ~ boolean_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3792]) ).
fof(f3792,plain,
! [X0] :
( ~ boolean_relstr(X0)
| ~ rel_str(X0)
| transitive_relstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1731]) ).
fof(f7414,plain,
( ~ spl578_60
| ~ spl578_91
| spl578_94
| ~ spl578_90
| ~ spl578_64
| ~ spl578_63
| spl578_31 ),
inference(avatar_split_clause,[],[f6585,f6071,f6760,f6764,f6883,f6901,f6887,f6746]) ).
fof(f6585,plain,
( ~ reflexive_relstr(sK407)
| ~ antisymmetric_relstr(sK407)
| ~ upper_bounded_relstr(sK407)
| with_suprema_relstr(sK407)
| ~ join_complete_relstr(sK407)
| ~ rel_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4558]) ).
fof(f4558,plain,
! [X0] :
( ~ upper_bounded_relstr(X0)
| with_suprema_relstr(X0)
| ~ rel_str(X0)
| ~ join_complete_relstr(X0)
| empty_carrier(X0)
| ~ antisymmetric_relstr(X0)
| ~ reflexive_relstr(X0) ),
inference(cnf_transformation,[],[f1500]) ).
fof(f1500,plain,
! [X0] :
( ~ upper_bounded_relstr(X0)
| ~ join_complete_relstr(X0)
| ( with_suprema_relstr(X0)
& upper_bounded_relstr(X0)
& reflexive_relstr(X0)
& antisymmetric_relstr(X0)
& ~ empty_carrier(X0) )
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ antisymmetric_relstr(X0) ),
inference(flattening,[],[f1499]) ).
fof(f1499,plain,
! [X0] :
( ( with_suprema_relstr(X0)
& upper_bounded_relstr(X0)
& reflexive_relstr(X0)
& antisymmetric_relstr(X0)
& ~ empty_carrier(X0) )
| ~ antisymmetric_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ upper_bounded_relstr(X0)
| ~ join_complete_relstr(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( rel_str(X0)
=> ( ( antisymmetric_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0)
& upper_bounded_relstr(X0)
& join_complete_relstr(X0) )
=> ( with_suprema_relstr(X0)
& upper_bounded_relstr(X0)
& reflexive_relstr(X0)
& antisymmetric_relstr(X0)
& ~ empty_carrier(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc14_waybel_0) ).
fof(f7413,plain,
( ~ spl578_94
| ~ spl578_63
| ~ spl578_67
| ~ spl578_66
| ~ spl578_59
| ~ spl578_60
| ~ spl578_64
| spl578_65
| spl578_31 ),
inference(avatar_split_clause,[],[f6545,f6071,f6768,f6764,f6746,f6742,f6772,f6776,f6760,f6901]) ).
fof(f6545,plain,
( bounded_relstr(sK407)
| ~ antisymmetric_relstr(sK407)
| ~ rel_str(sK407)
| ~ lower_bounded_relstr(sK407)
| ~ up_complete_relstr(sK407)
| ~ transitive_relstr(sK407)
| ~ reflexive_relstr(sK407)
| ~ with_suprema_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4194]) ).
fof(f4194,plain,
! [X0] :
( ~ transitive_relstr(X0)
| ~ with_suprema_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ up_complete_relstr(X0)
| ~ rel_str(X0)
| empty_carrier(X0)
| ~ reflexive_relstr(X0)
| bounded_relstr(X0) ),
inference(cnf_transformation,[],[f1651]) ).
fof(f7412,plain,
( spl578_143
| ~ spl578_44
| ~ spl578_43
| ~ spl578_45
| spl578_31 ),
inference(avatar_split_clause,[],[f6537,f6071,f6684,f6676,f6680,f7137]) ).
fof(f6537,plain,
( ~ lattice(sK407)
| ~ latt_str(sK407)
| ~ complete_latt_str(sK407)
| strict_rel_str(poset_of_lattice(sK407))
| spl578_31 ),
inference(resolution,[],[f6073,f4152]) ).
fof(f4152,plain,
! [X0] :
( ~ latt_str(X0)
| empty_carrier(X0)
| ~ lattice(X0)
| strict_rel_str(poset_of_lattice(X0))
| ~ complete_latt_str(X0) ),
inference(cnf_transformation,[],[f1679]) ).
fof(f7411,plain,
( spl578_136
| ~ spl578_45
| ~ spl578_43
| spl578_31 ),
inference(avatar_split_clause,[],[f6512,f6071,f6676,f6684,f7105]) ).
fof(f6512,plain,
( ~ latt_str(sK407)
| ~ lattice(sK407)
| join_associative(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4011]) ).
fof(f4011,plain,
! [X0] :
( ~ lattice(X0)
| empty_carrier(X0)
| join_associative(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f1477]) ).
fof(f7408,plain,
( spl578_94
| ~ spl578_61
| ~ spl578_60
| spl578_31 ),
inference(avatar_split_clause,[],[f6444,f6071,f6746,f6750,f6901]) ).
fof(f6444,plain,
( ~ rel_str(sK407)
| ~ boolean_relstr(sK407)
| with_suprema_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3788]) ).
fof(f3788,plain,
! [X0] :
( ~ rel_str(X0)
| empty_carrier(X0)
| with_suprema_relstr(X0)
| ~ boolean_relstr(X0) ),
inference(cnf_transformation,[],[f1731]) ).
fof(f7407,plain,
( ~ spl578_67
| ~ spl578_74
| spl578_194
| spl578_31 ),
inference(avatar_split_clause,[],[f6464,f6071,f7405,f6806,f6776]) ).
fof(f7405,plain,
( spl578_194
<=> ! [X266,X269,X268,X267] :
( ~ quasi_total(X266,the_carrier(sK407),the_carrier(X267))
| ~ related(X267,sK323(X267,sK407,X266),apply_on_set_and_struct(the_carrier(sK407),X267,X266,sK325(X267,sK407,X266,X268)))
| ~ function(X266)
| ~ directed_relstr(X267)
| ~ transitive_relstr(X267)
| the_mapping(X269,sK407) != function_of_composition(the_carrier(sK407),the_carrier(X267),the_carrier(X269),X266,the_mapping(X269,X267))
| ~ element(X268,the_carrier(sK407))
| empty_carrier(X267)
| ~ net_str(X267,X269)
| ~ relation_of2_as_subset(X266,the_carrier(sK407),the_carrier(X267))
| empty_carrier(X269)
| subnet(sK407,X269,X267)
| ~ one_sorted_str(X269)
| ~ net_str(sK407,X269) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_194])]) ).
fof(f6464,plain,
( ! [X269,X268,X267,X266] :
( ~ quasi_total(X266,the_carrier(sK407),the_carrier(X267))
| empty_carrier(X269)
| ~ relation_of2_as_subset(X266,the_carrier(sK407),the_carrier(X267))
| ~ directed_relstr(sK407)
| ~ net_str(sK407,X269)
| ~ one_sorted_str(X269)
| subnet(sK407,X269,X267)
| ~ net_str(X267,X269)
| empty_carrier(X267)
| ~ element(X268,the_carrier(sK407))
| the_mapping(X269,sK407) != function_of_composition(the_carrier(sK407),the_carrier(X267),the_carrier(X269),X266,the_mapping(X269,X267))
| ~ transitive_relstr(X267)
| ~ directed_relstr(X267)
| ~ function(X266)
| ~ related(X267,sK323(X267,sK407,X266),apply_on_set_and_struct(the_carrier(sK407),X267,X266,sK325(X267,sK407,X266,X268)))
| ~ transitive_relstr(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f3847]) ).
fof(f7403,plain,
( ~ spl578_45
| spl578_62
| ~ spl578_43
| spl578_31 ),
inference(avatar_split_clause,[],[f6507,f6071,f6676,f6755,f6684]) ).
fof(f6507,plain,
( ~ latt_str(sK407)
| transitive_relstr(poset_of_lattice(sK407))
| ~ lattice(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3967]) ).
fof(f3967,plain,
! [X0] :
( empty_carrier(X0)
| ~ lattice(X0)
| transitive_relstr(poset_of_lattice(X0))
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f2005]) ).
fof(f7402,plain,
( ~ spl578_60
| spl578_193
| ~ spl578_90
| spl578_31 ),
inference(avatar_split_clause,[],[f6347,f6071,f6883,f7399,f6746]) ).
fof(f7399,plain,
( spl578_193
<=> directed_subset(cast_as_carrier_subset(sK407),sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_193])]) ).
fof(f6347,plain,
( ~ upper_bounded_relstr(sK407)
| directed_subset(cast_as_carrier_subset(sK407),sK407)
| ~ rel_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3111]) ).
fof(f3111,plain,
! [X0] :
( empty_carrier(X0)
| ~ rel_str(X0)
| ~ upper_bounded_relstr(X0)
| directed_subset(cast_as_carrier_subset(X0),X0) ),
inference(cnf_transformation,[],[f2007]) ).
fof(f2007,plain,
! [X0] :
( ~ rel_str(X0)
| empty_carrier(X0)
| ( directed_subset(cast_as_carrier_subset(X0),X0)
& ~ empty(cast_as_carrier_subset(X0)) )
| ~ upper_bounded_relstr(X0) ),
inference(flattening,[],[f2006]) ).
fof(f2006,plain,
! [X0] :
( ( directed_subset(cast_as_carrier_subset(X0),X0)
& ~ empty(cast_as_carrier_subset(X0)) )
| ~ upper_bounded_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f422]) ).
fof(f422,axiom,
! [X0] :
( ( upper_bounded_relstr(X0)
& ~ empty_carrier(X0)
& rel_str(X0) )
=> ( directed_subset(cast_as_carrier_subset(X0),X0)
& ~ empty(cast_as_carrier_subset(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_waybel_0) ).
fof(f7397,plain,
( ~ spl578_45
| spl578_192
| ~ spl578_43
| spl578_31 ),
inference(avatar_split_clause,[],[f6287,f6071,f6676,f7394,f6684]) ).
fof(f7394,plain,
( spl578_192
<=> relation(relation_of_lattice(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_192])]) ).
fof(f6287,plain,
( ~ latt_str(sK407)
| relation(relation_of_lattice(sK407))
| ~ lattice(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2577]) ).
fof(f2577,plain,
! [X0] :
( ~ lattice(X0)
| ~ latt_str(X0)
| relation(relation_of_lattice(X0))
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1719]) ).
fof(f1719,plain,
! [X0] :
( ~ latt_str(X0)
| empty_carrier(X0)
| ~ lattice(X0)
| relation(relation_of_lattice(X0)) ),
inference(flattening,[],[f1718]) ).
fof(f1718,plain,
! [X0] :
( relation(relation_of_lattice(X0))
| ~ lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f315]) ).
fof(f315,axiom,
! [X0] :
( ( lattice(X0)
& ~ empty_carrier(X0)
& latt_str(X0) )
=> relation(relation_of_lattice(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_filter_1) ).
fof(f7392,plain,
( ~ spl578_69
| ~ spl578_168
| ~ spl578_71
| spl578_191
| spl578_31 ),
inference(avatar_split_clause,[],[f6670,f6071,f7390,f6792,f7267,f6785]) ).
fof(f7390,plain,
( spl578_191
<=> ! [X521] :
( bottom_of_semilattstr(sK407) = meet(sK407,X521,bottom_of_semilattstr(sK407))
| ~ element(X521,the_carrier(sK407)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_191])]) ).
fof(f6670,plain,
( ! [X521] :
( bottom_of_semilattstr(sK407) = meet(sK407,X521,bottom_of_semilattstr(sK407))
| ~ lower_bounded_semilattstr(sK407)
| ~ element(bottom_of_semilattstr(sK407),the_carrier(sK407))
| ~ element(X521,the_carrier(sK407))
| ~ meet_semilatt_str(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f5367]) ).
fof(f5367,plain,
! [X2,X0] :
( ~ lower_bounded_semilattstr(X0)
| ~ meet_semilatt_str(X0)
| bottom_of_semilattstr(X0) = meet(X0,X2,bottom_of_semilattstr(X0))
| ~ element(X2,the_carrier(X0))
| empty_carrier(X0)
| ~ element(bottom_of_semilattstr(X0),the_carrier(X0)) ),
inference(equality_resolution,[],[f3758]) ).
fof(f3758,plain,
! [X2,X0,X1] :
( ~ meet_semilatt_str(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0))
| bottom_of_semilattstr(X0) != X1
| ~ element(X2,the_carrier(X0))
| meet(X0,X2,X1) = X1
| ~ lower_bounded_semilattstr(X0) ),
inference(cnf_transformation,[],[f1207]) ).
fof(f7388,plain,
( ~ spl578_45
| ~ spl578_43
| spl578_143
| spl578_31 ),
inference(avatar_split_clause,[],[f6506,f6071,f7137,f6676,f6684]) ).
fof(f6506,plain,
( strict_rel_str(poset_of_lattice(sK407))
| ~ latt_str(sK407)
| ~ lattice(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3966]) ).
fof(f3966,plain,
! [X0] :
( ~ lattice(X0)
| empty_carrier(X0)
| strict_rel_str(poset_of_lattice(X0))
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f2005]) ).
fof(f7387,plain,
( ~ spl578_60
| spl578_190
| ~ spl578_67
| spl578_31 ),
inference(avatar_split_clause,[],[f6369,f6071,f6776,f7385,f6746]) ).
fof(f7385,plain,
( spl578_190
<=> ! [X118,X119,X120] :
( ~ element(X119,powerset(the_carrier(sK407)))
| in(X120,sK248(X119,sK407,X118))
| ~ finite(X118)
| element(sK253(X119,sK407),the_carrier(sK407))
| ~ element(X118,powerset(X119))
| ~ sP251(X120,X118,sK407,X119) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_190])]) ).
fof(f6369,plain,
( ! [X120,X118,X119] :
( ~ transitive_relstr(sK407)
| ~ element(X119,powerset(the_carrier(sK407)))
| ~ sP251(X120,X118,sK407,X119)
| ~ element(X118,powerset(X119))
| element(sK253(X119,sK407),the_carrier(sK407))
| ~ finite(X118)
| ~ rel_str(sK407)
| in(X120,sK248(X119,sK407,X118)) )
| spl578_31 ),
inference(resolution,[],[f6073,f3434]) ).
fof(f3434,plain,
! [X2,X0,X11,X1] :
( ~ transitive_relstr(X1)
| ~ finite(X2)
| ~ element(X0,powerset(the_carrier(X1)))
| ~ element(X2,powerset(X0))
| ~ rel_str(X1)
| element(sK253(X0,X1),the_carrier(X1))
| in(X11,sK248(X0,X1,X2))
| empty_carrier(X1)
| ~ sP251(X11,X2,X1,X0) ),
inference(cnf_transformation,[],[f1999]) ).
fof(f7383,plain,
( spl578_189
| ~ spl578_69
| spl578_31 ),
inference(avatar_split_clause,[],[f6399,f6071,f6785,f7381]) ).
fof(f7381,plain,
( spl578_189
<=> ! [X187,X186] :
( ~ element(X187,the_carrier(sK407))
| apply_binary_as_element(the_carrier(sK407),the_carrier(sK407),the_carrier(sK407),the_L_meet(sK407),X187,X186) = meet(sK407,X187,X186)
| ~ element(X186,the_carrier(sK407)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_189])]) ).
fof(f6399,plain,
( ! [X186,X187] :
( ~ meet_semilatt_str(sK407)
| ~ element(X187,the_carrier(sK407))
| ~ element(X186,the_carrier(sK407))
| apply_binary_as_element(the_carrier(sK407),the_carrier(sK407),the_carrier(sK407),the_L_meet(sK407),X187,X186) = meet(sK407,X187,X186) )
| spl578_31 ),
inference(resolution,[],[f6073,f3499]) ).
fof(f3499,plain,
! [X2,X0,X1] :
( ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| meet(X0,X1,X2) = apply_binary_as_element(the_carrier(X0),the_carrier(X0),the_carrier(X0),the_L_meet(X0),X1,X2)
| ~ meet_semilatt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1733]) ).
fof(f1733,plain,
! [X0] :
( ~ meet_semilatt_str(X0)
| empty_carrier(X0)
| ! [X1] :
( ~ element(X1,the_carrier(X0))
| ! [X2] :
( meet(X0,X1,X2) = apply_binary_as_element(the_carrier(X0),the_carrier(X0),the_carrier(X0),the_L_meet(X0),X1,X2)
| ~ element(X2,the_carrier(X0)) ) ) ),
inference(flattening,[],[f1732]) ).
fof(f1732,plain,
! [X0] :
( ! [X1] :
( ~ element(X1,the_carrier(X0))
| ! [X2] :
( meet(X0,X1,X2) = apply_binary_as_element(the_carrier(X0),the_carrier(X0),the_carrier(X0),the_L_meet(X0),X1,X2)
| ~ element(X2,the_carrier(X0)) ) )
| empty_carrier(X0)
| ~ meet_semilatt_str(X0) ),
inference(ennf_transformation,[],[f154]) ).
fof(f154,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& meet_semilatt_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> meet(X0,X1,X2) = apply_binary_as_element(the_carrier(X0),the_carrier(X0),the_carrier(X0),the_L_meet(X0),X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_lattices) ).
fof(f7379,plain,
( ~ spl578_43
| spl578_186
| ~ spl578_45
| spl578_31 ),
inference(avatar_split_clause,[],[f6457,f6071,f6684,f7365,f6676]) ).
fof(f6457,plain,
( ~ lattice(sK407)
| reflexive_relstr(poset_of_lattice(sK407))
| ~ latt_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3824]) ).
fof(f3824,plain,
! [X0] :
( empty_carrier(X0)
| reflexive_relstr(poset_of_lattice(X0))
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f2071]) ).
fof(f7378,plain,
( ~ spl578_47
| spl578_188
| spl578_31 ),
inference(avatar_split_clause,[],[f6316,f6071,f7376,f6693]) ).
fof(f7376,plain,
( spl578_188
<=> ! [X52,X50,X51] :
( netstr_restr_to_element(sK407,X51,X50) = X52
| empty_carrier(X51)
| ~ net_str(X51,sK407)
| ~ net_str(X52,sK407)
| in(sK120(X51,X50,X52),the_carrier(X52))
| ~ strict_net_str(X52,sK407)
| the_mapping(sK407,X52) != partfun_dom_restriction(the_carrier(X51),the_carrier(sK407),the_mapping(sK407,X51),the_carrier(X52))
| element(sK121(X51,X50,X52),the_carrier(X51))
| relation_restriction_as_relation_of(the_InternalRel(X51),the_carrier(X52)) != the_InternalRel(X52)
| ~ element(X50,the_carrier(X51)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_188])]) ).
fof(f6316,plain,
( ! [X50,X51,X52] :
( netstr_restr_to_element(sK407,X51,X50) = X52
| ~ element(X50,the_carrier(X51))
| relation_restriction_as_relation_of(the_InternalRel(X51),the_carrier(X52)) != the_InternalRel(X52)
| element(sK121(X51,X50,X52),the_carrier(X51))
| the_mapping(sK407,X52) != partfun_dom_restriction(the_carrier(X51),the_carrier(sK407),the_mapping(sK407,X51),the_carrier(X52))
| ~ strict_net_str(X52,sK407)
| in(sK120(X51,X50,X52),the_carrier(X52))
| ~ net_str(X52,sK407)
| ~ net_str(X51,sK407)
| ~ one_sorted_str(sK407)
| empty_carrier(X51) )
| spl578_31 ),
inference(resolution,[],[f6073,f2865]) ).
fof(f2865,plain,
! [X2,X3,X0,X1] :
( ~ element(X2,the_carrier(X1))
| the_mapping(X0,X3) != partfun_dom_restriction(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X3))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ strict_net_str(X3,X0)
| the_InternalRel(X3) != relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(X3))
| in(sK120(X1,X2,X3),the_carrier(X3))
| ~ net_str(X3,X0)
| empty_carrier(X0)
| netstr_restr_to_element(X0,X1,X2) = X3
| element(sK121(X1,X2,X3),the_carrier(X1))
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f1613]) ).
fof(f7374,plain,
( ~ spl578_43
| spl578_187
| ~ spl578_45
| spl578_31 ),
inference(avatar_split_clause,[],[f6588,f6071,f6684,f7372,f6676]) ).
fof(f7372,plain,
( spl578_187
<=> ! [X416] :
( element(sK468(sK407,X416),the_carrier(sK407))
| ~ in(X416,a_1_0_filter_1(sK407)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_187])]) ).
fof(f6588,plain,
( ! [X416] :
( ~ lattice(sK407)
| element(sK468(sK407,X416),the_carrier(sK407))
| ~ in(X416,a_1_0_filter_1(sK407))
| ~ latt_str(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f4594]) ).
fof(f4594,plain,
! [X0,X1] :
( ~ lattice(X0)
| element(sK468(X0,X1),the_carrier(X0))
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ in(X1,a_1_0_filter_1(X0)) ),
inference(cnf_transformation,[],[f1377]) ).
fof(f7370,plain,
( ~ spl578_43
| spl578_55
| ~ spl578_45
| spl578_31 ),
inference(avatar_split_clause,[],[f6513,f6071,f6684,f6726,f6676]) ).
fof(f6513,plain,
( ~ lattice(sK407)
| meet_commutative(sK407)
| ~ latt_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4012]) ).
fof(f4012,plain,
! [X0] :
( ~ lattice(X0)
| empty_carrier(X0)
| meet_commutative(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f1477]) ).
fof(f7369,plain,
( ~ spl578_43
| ~ spl578_45
| ~ spl578_83
| spl578_186
| spl578_31 ),
inference(avatar_split_clause,[],[f6631,f6071,f7365,f6846,f6684,f6676]) ).
fof(f6631,plain,
( reflexive_relstr(poset_of_lattice(sK407))
| ~ upper_bounded_semilattstr(sK407)
| ~ lattice(sK407)
| ~ latt_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f5071]) ).
fof(f5071,plain,
! [X0] :
( empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0)
| reflexive_relstr(poset_of_lattice(X0))
| ~ upper_bounded_semilattstr(X0) ),
inference(cnf_transformation,[],[f1481]) ).
fof(f7368,plain,
( ~ spl578_45
| spl578_186
| ~ spl578_43
| spl578_31 ),
inference(avatar_split_clause,[],[f6559,f6071,f6676,f7365,f6684]) ).
fof(f6559,plain,
( ~ latt_str(sK407)
| reflexive_relstr(poset_of_lattice(sK407))
| ~ lattice(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4315]) ).
fof(f4315,plain,
! [X0] :
( empty_carrier(X0)
| ~ latt_str(X0)
| ~ lattice(X0)
| reflexive_relstr(poset_of_lattice(X0)) ),
inference(cnf_transformation,[],[f1226]) ).
fof(f7363,plain,
( ~ spl578_63
| ~ spl578_185
| ~ spl578_67
| ~ spl578_60
| spl578_31 ),
inference(avatar_split_clause,[],[f6266,f6071,f6746,f6776,f7360,f6760]) ).
fof(f7360,plain,
( spl578_185
<=> empty(sK32(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_185])]) ).
fof(f6266,plain,
( ~ rel_str(sK407)
| ~ transitive_relstr(sK407)
| ~ empty(sK32(sK407))
| ~ reflexive_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2371]) ).
fof(f2371,plain,
! [X0] :
( ~ rel_str(X0)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| ~ empty(sK32(X0)) ),
inference(cnf_transformation,[],[f1995]) ).
fof(f1995,plain,
! [X0] :
( ~ rel_str(X0)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ? [X1] :
( element(X1,powerset(the_carrier(X0)))
& ~ empty(X1)
& filtered_subset(X1,X0)
& upper_relstr_subset(X1,X0) )
| ~ reflexive_relstr(X0) ),
inference(flattening,[],[f1994]) ).
fof(f1994,plain,
! [X0] :
( ? [X1] :
( element(X1,powerset(the_carrier(X0)))
& ~ empty(X1)
& filtered_subset(X1,X0)
& upper_relstr_subset(X1,X0) )
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| ~ reflexive_relstr(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f494]) ).
fof(f494,axiom,
! [X0] :
( ( transitive_relstr(X0)
& ~ empty_carrier(X0)
& reflexive_relstr(X0)
& rel_str(X0) )
=> ? [X1] :
( element(X1,powerset(the_carrier(X0)))
& ~ empty(X1)
& filtered_subset(X1,X0)
& upper_relstr_subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc10_waybel_0) ).
fof(f7358,plain,
( ~ spl578_43
| spl578_184
| spl578_31 ),
inference(avatar_split_clause,[],[f6329,f6071,f7356,f6676]) ).
fof(f7356,plain,
( spl578_184
<=> ! [X75,X76] :
( latt_element_smaller(sK407,X75,X76)
| element(sK127(sK407,X75,X76),the_carrier(sK407))
| ~ element(X75,the_carrier(sK407)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_184])]) ).
fof(f6329,plain,
( ! [X76,X75] :
( latt_element_smaller(sK407,X75,X76)
| ~ latt_str(sK407)
| ~ element(X75,the_carrier(sK407))
| element(sK127(sK407,X75,X76),the_carrier(sK407)) )
| spl578_31 ),
inference(resolution,[],[f6073,f2914]) ).
fof(f2914,plain,
! [X2,X0,X1] :
( ~ latt_str(X0)
| ~ element(X1,the_carrier(X0))
| latt_element_smaller(X0,X1,X2)
| empty_carrier(X0)
| element(sK127(X0,X1,X2),the_carrier(X0)) ),
inference(cnf_transformation,[],[f1710]) ).
fof(f7354,plain,
( ~ spl578_60
| ~ spl578_61
| spl578_94
| spl578_31 ),
inference(avatar_split_clause,[],[f6279,f6071,f6901,f6750,f6746]) ).
fof(f6279,plain,
( with_suprema_relstr(sK407)
| ~ boolean_relstr(sK407)
| ~ rel_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2432]) ).
fof(f2432,plain,
! [X0] :
( empty_carrier(X0)
| ~ boolean_relstr(X0)
| with_suprema_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1699]) ).
fof(f7353,plain,
( spl578_169
| spl578_31 ),
inference(avatar_split_clause,[],[f6334,f6071,f7272]) ).
fof(f7272,plain,
( spl578_169
<=> ! [X233,X232] :
( ~ element(X233,the_carrier(sK407))
| ~ net_str(sK407,X232)
| strict_net_str(netstr_restr_to_element(X232,sK407,X233),X232)
| empty_carrier(X232)
| ~ one_sorted_str(X232) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_169])]) ).
fof(f6334,plain,
( ! [X80,X79] :
( ~ one_sorted_str(X79)
| ~ element(X80,the_carrier(sK407))
| strict_net_str(netstr_restr_to_element(X79,sK407,X80),X79)
| ~ net_str(sK407,X79)
| empty_carrier(X79) )
| spl578_31 ),
inference(resolution,[],[f6073,f2925]) ).
fof(f7352,plain,
( ~ spl578_43
| spl578_131
| ~ spl578_44
| ~ spl578_45
| spl578_31 ),
inference(avatar_split_clause,[],[f6543,f6071,f6684,f6680,f7083,f6676]) ).
fof(f7083,plain,
( spl578_131
<=> upper_bounded_relstr(poset_of_lattice(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_131])]) ).
fof(f6543,plain,
( ~ lattice(sK407)
| ~ complete_latt_str(sK407)
| upper_bounded_relstr(poset_of_lattice(sK407))
| ~ latt_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4158]) ).
fof(f4158,plain,
! [X0] :
( empty_carrier(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| ~ lattice(X0)
| upper_bounded_relstr(poset_of_lattice(X0)) ),
inference(cnf_transformation,[],[f1679]) ).
fof(f7351,plain,
( spl578_183
| ~ spl578_43
| ~ spl578_44
| ~ spl578_45
| spl578_31 ),
inference(avatar_split_clause,[],[f6549,f6071,f6684,f6680,f6676,f7349]) ).
fof(f7349,plain,
( spl578_183
<=> ! [X360,X359] :
( join_of_latt_set(sK407,X360) = X359
| ~ element(X359,the_carrier(sK407))
| latt_element_smaller(sK407,sK388(sK407,X359,X360),X360)
| ~ latt_element_smaller(sK407,X359,X360) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_183])]) ).
fof(f6549,plain,
( ! [X360,X359] :
( ~ lattice(sK407)
| ~ complete_latt_str(sK407)
| ~ latt_str(sK407)
| join_of_latt_set(sK407,X360) = X359
| ~ latt_element_smaller(sK407,X359,X360)
| latt_element_smaller(sK407,sK388(sK407,X359,X360),X360)
| ~ element(X359,the_carrier(sK407)) )
| spl578_31 ),
inference(resolution,[],[f6073,f4199]) ).
fof(f4199,plain,
! [X2,X0,X1] :
( ~ latt_str(X0)
| ~ latt_element_smaller(X0,X1,X2)
| ~ complete_latt_str(X0)
| empty_carrier(X0)
| latt_element_smaller(X0,sK388(X0,X1,X2),X2)
| ~ lattice(X0)
| join_of_latt_set(X0,X2) = X1
| ~ element(X1,the_carrier(X0)) ),
inference(cnf_transformation,[],[f2002]) ).
fof(f7347,plain,
( spl578_97
| ~ spl578_44
| ~ spl578_45
| ~ spl578_43
| spl578_31 ),
inference(avatar_split_clause,[],[f6542,f6071,f6676,f6684,f6680,f6918]) ).
fof(f6542,plain,
( ~ latt_str(sK407)
| ~ lattice(sK407)
| ~ complete_latt_str(sK407)
| with_infima_relstr(poset_of_lattice(sK407))
| spl578_31 ),
inference(resolution,[],[f6073,f4157]) ).
fof(f4157,plain,
! [X0] :
( with_infima_relstr(poset_of_lattice(X0))
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ lattice(X0)
| ~ complete_latt_str(X0) ),
inference(cnf_transformation,[],[f1679]) ).
fof(f7346,plain,
( ~ spl578_44
| ~ spl578_45
| spl578_58
| ~ spl578_43
| spl578_31 ),
inference(avatar_split_clause,[],[f6609,f6071,f6676,f6737,f6684,f6680]) ).
fof(f6609,plain,
( ~ latt_str(sK407)
| meet_absorbing(sK407)
| ~ lattice(sK407)
| ~ complete_latt_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4876]) ).
fof(f4876,plain,
! [X0] :
( ~ latt_str(X0)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| empty_carrier(X0)
| meet_absorbing(X0) ),
inference(cnf_transformation,[],[f1247]) ).
fof(f7345,plain,
( ~ spl578_63
| ~ spl578_73
| spl578_68
| ~ spl578_60
| spl578_31 ),
inference(avatar_split_clause,[],[f6391,f6071,f6746,f6780,f6801,f6760]) ).
fof(f6391,plain,
( ~ rel_str(sK407)
| connected_relstr(sK407)
| ~ trivial_carrier(sK407)
| ~ reflexive_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3474]) ).
fof(f3474,plain,
! [X0] :
( connected_relstr(X0)
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| ~ trivial_carrier(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1607]) ).
fof(f1607,plain,
! [X0] :
( ( connected_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| empty_carrier(X0)
| ~ reflexive_relstr(X0)
| ~ trivial_carrier(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f1606]) ).
fof(f1606,plain,
! [X0] :
( ( connected_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| empty_carrier(X0)
| ~ trivial_carrier(X0)
| ~ reflexive_relstr(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,axiom,
! [X0] :
( rel_str(X0)
=> ( ( ~ empty_carrier(X0)
& trivial_carrier(X0)
& reflexive_relstr(X0) )
=> ( connected_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc5_waybel_0) ).
fof(f7344,plain,
( ~ spl578_182
| ~ spl578_63
| ~ spl578_60
| spl578_31 ),
inference(avatar_split_clause,[],[f6645,f6071,f6746,f6760,f7341]) ).
fof(f7341,plain,
( spl578_182
<=> v1_yellow_3(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_182])]) ).
fof(f6645,plain,
( ~ rel_str(sK407)
| ~ reflexive_relstr(sK407)
| ~ v1_yellow_3(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f5183]) ).
fof(f5183,plain,
! [X0] :
( ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ v1_yellow_3(X0) ),
inference(cnf_transformation,[],[f1245]) ).
fof(f1245,plain,
! [X0] :
( ( ~ v1_yellow_3(X0)
& ~ empty_carrier(X0) )
| empty_carrier(X0)
| ~ rel_str(X0)
| ~ reflexive_relstr(X0) ),
inference(flattening,[],[f1244]) ).
fof(f1244,plain,
! [X0] :
( ( ~ v1_yellow_3(X0)
& ~ empty_carrier(X0) )
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,axiom,
! [X0] :
( rel_str(X0)
=> ( ( reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ( ~ v1_yellow_3(X0)
& ~ empty_carrier(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc3_yellow_3) ).
fof(f7339,plain,
( ~ spl578_90
| ~ spl578_60
| ~ spl578_66
| ~ spl578_67
| ~ spl578_64
| ~ spl578_63
| ~ spl578_91
| spl578_94
| spl578_31 ),
inference(avatar_split_clause,[],[f6431,f6071,f6901,f6887,f6760,f6764,f6776,f6772,f6746,f6883]) ).
fof(f6431,plain,
( with_suprema_relstr(sK407)
| ~ join_complete_relstr(sK407)
| ~ reflexive_relstr(sK407)
| ~ antisymmetric_relstr(sK407)
| ~ transitive_relstr(sK407)
| ~ up_complete_relstr(sK407)
| ~ rel_str(sK407)
| ~ upper_bounded_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3734]) ).
fof(f3734,plain,
! [X0] :
( empty_carrier(X0)
| ~ join_complete_relstr(X0)
| ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ up_complete_relstr(X0)
| ~ upper_bounded_relstr(X0)
| ~ reflexive_relstr(X0)
| ~ antisymmetric_relstr(X0)
| with_suprema_relstr(X0) ),
inference(cnf_transformation,[],[f2179]) ).
fof(f7338,plain,
( spl578_137
| ~ spl578_43
| ~ spl578_45
| spl578_31 ),
inference(avatar_split_clause,[],[f6514,f6071,f6684,f6676,f7109]) ).
fof(f6514,plain,
( ~ lattice(sK407)
| ~ latt_str(sK407)
| join_commutative(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4013]) ).
fof(f4013,plain,
! [X0] :
( ~ lattice(X0)
| ~ latt_str(X0)
| join_commutative(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1477]) ).
fof(f7337,plain,
( ~ spl578_60
| ~ spl578_67
| spl578_181
| spl578_31 ),
inference(avatar_split_clause,[],[f6390,f6071,f7335,f6776,f6746]) ).
fof(f7335,plain,
( spl578_181
<=> ! [X182,X181,X183] :
( ~ in(X183,sK248(X182,sK407,X181))
| sK245(X182,sK407) = sK247(X182,sK407)
| sP251(X183,X181,sK407,X182)
| ~ element(X182,powerset(the_carrier(sK407)))
| ~ element(X181,powerset(X182))
| ~ finite(X181) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_181])]) ).
fof(f6390,plain,
( ! [X181,X182,X183] :
( ~ in(X183,sK248(X182,sK407,X181))
| ~ finite(X181)
| ~ element(X181,powerset(X182))
| ~ element(X182,powerset(the_carrier(sK407)))
| sP251(X183,X181,sK407,X182)
| sK245(X182,sK407) = sK247(X182,sK407)
| ~ transitive_relstr(sK407)
| ~ rel_str(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f3455]) ).
fof(f3455,plain,
! [X2,X0,X11,X1] :
( ~ rel_str(X1)
| ~ element(X2,powerset(X0))
| ~ transitive_relstr(X1)
| ~ finite(X2)
| empty_carrier(X1)
| sP251(X11,X2,X1,X0)
| ~ in(X11,sK248(X0,X1,X2))
| sK245(X0,X1) = sK247(X0,X1)
| ~ element(X0,powerset(the_carrier(X1))) ),
inference(cnf_transformation,[],[f1999]) ).
fof(f7333,plain,
( ~ spl578_60
| ~ spl578_127
| ~ spl578_59
| spl578_31 ),
inference(avatar_split_clause,[],[f6571,f6071,f6742,f7065,f6746]) ).
fof(f6571,plain,
( ~ lower_bounded_relstr(sK407)
| ~ empty(cast_as_carrier_subset(sK407))
| ~ rel_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4443]) ).
fof(f4443,plain,
! [X0] :
( ~ rel_str(X0)
| empty_carrier(X0)
| ~ lower_bounded_relstr(X0)
| ~ empty(cast_as_carrier_subset(X0)) ),
inference(cnf_transformation,[],[f1321]) ).
fof(f1321,plain,
! [X0] :
( empty_carrier(X0)
| ~ lower_bounded_relstr(X0)
| ~ rel_str(X0)
| ( ~ empty(cast_as_carrier_subset(X0))
& filtered_subset(cast_as_carrier_subset(X0),X0) ) ),
inference(flattening,[],[f1320]) ).
fof(f1320,plain,
! [X0] :
( ( ~ empty(cast_as_carrier_subset(X0))
& filtered_subset(cast_as_carrier_subset(X0),X0) )
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f440]) ).
fof(f440,axiom,
! [X0] :
( ( rel_str(X0)
& lower_bounded_relstr(X0)
& ~ empty_carrier(X0) )
=> ( ~ empty(cast_as_carrier_subset(X0))
& filtered_subset(cast_as_carrier_subset(X0),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_waybel_0) ).
fof(f7332,plain,
( ~ spl578_89
| spl578_65
| ~ spl578_60
| spl578_31 ),
inference(avatar_split_clause,[],[f6402,f6071,f6746,f6768,f6879]) ).
fof(f6402,plain,
( ~ rel_str(sK407)
| bounded_relstr(sK407)
| ~ complete_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3590]) ).
fof(f3590,plain,
! [X0] :
( empty_carrier(X0)
| bounded_relstr(X0)
| ~ complete_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1496]) ).
fof(f1496,plain,
! [X0] :
( empty_carrier(X0)
| ( ~ empty_carrier(X0)
& bounded_relstr(X0) )
| ~ complete_relstr(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f1495]) ).
fof(f1495,plain,
! [X0] :
( ( ~ empty_carrier(X0)
& bounded_relstr(X0) )
| ~ complete_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,axiom,
! [X0] :
( rel_str(X0)
=> ( ( complete_relstr(X0)
& ~ empty_carrier(X0) )
=> ( ~ empty_carrier(X0)
& bounded_relstr(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc3_yellow_0) ).
fof(f7331,plain,
( ~ spl578_60
| ~ spl578_93
| spl578_152
| spl578_31 ),
inference(avatar_split_clause,[],[f6552,f6071,f7184,f6897,f6746]) ).
fof(f6552,plain,
( distributive_relstr(sK407)
| ~ heyting_relstr(sK407)
| ~ rel_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4242]) ).
fof(f4242,plain,
! [X0] :
( ~ heyting_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0)
| distributive_relstr(X0) ),
inference(cnf_transformation,[],[f1402]) ).
fof(f1402,plain,
! [X0] :
( ( ~ empty_carrier(X0)
& distributive_relstr(X0) )
| empty_carrier(X0)
| ~ rel_str(X0)
| ~ heyting_relstr(X0) ),
inference(flattening,[],[f1401]) ).
fof(f1401,plain,
! [X0] :
( ( ~ empty_carrier(X0)
& distributive_relstr(X0) )
| empty_carrier(X0)
| ~ heyting_relstr(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,axiom,
! [X0] :
( rel_str(X0)
=> ( ( ~ empty_carrier(X0)
& heyting_relstr(X0) )
=> ( ~ empty_carrier(X0)
& distributive_relstr(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_waybel_1) ).
fof(f7330,plain,
( ~ spl578_53
| ~ spl578_43
| spl578_71
| spl578_31 ),
inference(avatar_split_clause,[],[f6494,f6071,f6792,f6676,f6718]) ).
fof(f6494,plain,
( lower_bounded_semilattstr(sK407)
| ~ latt_str(sK407)
| ~ boolean_lattstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3929]) ).
fof(f3929,plain,
! [X0] :
( ~ latt_str(X0)
| empty_carrier(X0)
| ~ boolean_lattstr(X0)
| lower_bounded_semilattstr(X0) ),
inference(cnf_transformation,[],[f1588]) ).
fof(f7329,plain,
( ~ spl578_43
| ~ spl578_71
| ~ spl578_142
| ~ spl578_45
| spl578_31 ),
inference(avatar_split_clause,[],[f6355,f6071,f6684,f7131,f6792,f6676]) ).
fof(f6355,plain,
( ~ lattice(sK407)
| ~ empty_carrier(poset_of_lattice(sK407))
| ~ lower_bounded_semilattstr(sK407)
| ~ latt_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3119]) ).
fof(f3119,plain,
! [X0] :
( empty_carrier(X0)
| ~ latt_str(X0)
| ~ empty_carrier(poset_of_lattice(X0))
| ~ lower_bounded_semilattstr(X0)
| ~ lattice(X0) ),
inference(cnf_transformation,[],[f2135]) ).
fof(f7328,plain,
( ~ spl578_74
| ~ spl578_67
| spl578_180
| spl578_31 ),
inference(avatar_split_clause,[],[f6413,f6071,f7326,f6776,f6806]) ).
fof(f7326,plain,
( spl578_180
<=> ! [X210,X211] :
( empty_carrier(X210)
| ~ net_str(sK407,X210)
| ~ one_sorted_str(X210)
| net_str(X211,X210)
| ~ subnet(X211,X210,sK407) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_180])]) ).
fof(f6413,plain,
( ! [X210,X211] :
( empty_carrier(X210)
| ~ subnet(X211,X210,sK407)
| ~ transitive_relstr(sK407)
| net_str(X211,X210)
| ~ one_sorted_str(X210)
| ~ net_str(sK407,X210)
| ~ directed_relstr(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f3670]) ).
fof(f3670,plain,
! [X2,X0,X1] :
( empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ subnet(X2,X1,X0)
| ~ transitive_relstr(X0)
| ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ directed_relstr(X0)
| net_str(X2,X1) ),
inference(cnf_transformation,[],[f1930]) ).
fof(f7324,plain,
( ~ spl578_44
| ~ spl578_45
| spl578_136
| ~ spl578_43
| spl578_31 ),
inference(avatar_split_clause,[],[f6608,f6071,f6676,f7105,f6684,f6680]) ).
fof(f6608,plain,
( ~ latt_str(sK407)
| join_associative(sK407)
| ~ lattice(sK407)
| ~ complete_latt_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4875]) ).
fof(f4875,plain,
! [X0] :
( empty_carrier(X0)
| ~ lattice(X0)
| join_associative(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f1247]) ).
fof(f7323,plain,
( spl578_179
| ~ spl578_47
| spl578_31 ),
inference(avatar_split_clause,[],[f6564,f6071,f6693,f7321]) ).
fof(f7321,plain,
( spl578_179
<=> ! [X377] :
( ~ net_str(X377,sK407)
| ~ directed_relstr(X377)
| empty_carrier(X377)
| ~ transitive_relstr(X377)
| subnet(sK445(sK407,X377),sK407,X377) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_179])]) ).
fof(f6564,plain,
( ! [X377] :
( ~ one_sorted_str(sK407)
| ~ net_str(X377,sK407)
| subnet(sK445(sK407,X377),sK407,X377)
| ~ transitive_relstr(X377)
| empty_carrier(X377)
| ~ directed_relstr(X377) )
| spl578_31 ),
inference(resolution,[],[f6073,f4420]) ).
fof(f7319,plain,
( ~ spl578_43
| spl578_178
| ~ spl578_45
| spl578_31 ),
inference(avatar_split_clause,[],[f6621,f6071,f6684,f7316,f6676]) ).
fof(f7316,plain,
( spl578_178
<=> reflexive(k2_lattice3(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_178])]) ).
fof(f6621,plain,
( ~ lattice(sK407)
| reflexive(k2_lattice3(sK407))
| ~ latt_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f5040]) ).
fof(f5040,plain,
! [X0] :
( ~ latt_str(X0)
| reflexive(k2_lattice3(X0))
| empty_carrier(X0)
| ~ lattice(X0) ),
inference(cnf_transformation,[],[f2069]) ).
fof(f7314,plain,
( ~ spl578_60
| ~ spl578_66
| ~ spl578_59
| ~ spl578_63
| ~ spl578_68
| ~ spl578_67
| spl578_91
| ~ spl578_64
| spl578_31 ),
inference(avatar_split_clause,[],[f6396,f6071,f6764,f6887,f6776,f6780,f6760,f6742,f6772,f6746]) ).
fof(f6396,plain,
( ~ antisymmetric_relstr(sK407)
| join_complete_relstr(sK407)
| ~ transitive_relstr(sK407)
| ~ connected_relstr(sK407)
| ~ reflexive_relstr(sK407)
| ~ lower_bounded_relstr(sK407)
| ~ up_complete_relstr(sK407)
| ~ rel_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3480]) ).
fof(f3480,plain,
! [X0] :
( empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ up_complete_relstr(X0)
| ~ connected_relstr(X0)
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0)
| join_complete_relstr(X0)
| ~ reflexive_relstr(X0) ),
inference(cnf_transformation,[],[f1541]) ).
fof(f7313,plain,
( ~ spl578_47
| spl578_177
| spl578_31 ),
inference(avatar_split_clause,[],[f6361,f6071,f7311,f6693]) ).
fof(f7311,plain,
( spl578_177
<=> ! [X105,X104,X106] :
( ~ net_str(X104,sK407)
| related(X104,X105,sK178(X104,X106,X105))
| ~ in(X106,a_3_0_waybel_9(sK407,X104,X105))
| ~ element(X105,the_carrier(X104))
| empty_carrier(X104) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_177])]) ).
fof(f6361,plain,
( ! [X106,X104,X105] :
( ~ net_str(X104,sK407)
| empty_carrier(X104)
| ~ element(X105,the_carrier(X104))
| ~ in(X106,a_3_0_waybel_9(sK407,X104,X105))
| related(X104,X105,sK178(X104,X106,X105))
| ~ one_sorted_str(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f3137]) ).
fof(f3137,plain,
! [X2,X3,X0,X1] :
( ~ net_str(X0,X2)
| empty_carrier(X2)
| related(X0,X3,sK178(X0,X1,X3))
| empty_carrier(X0)
| ~ element(X3,the_carrier(X0))
| ~ in(X1,a_3_0_waybel_9(X2,X0,X3))
| ~ one_sorted_str(X2) ),
inference(cnf_transformation,[],[f1947]) ).
fof(f7309,plain,
( ~ spl578_67
| ~ spl578_60
| spl578_176
| spl578_31 ),
inference(avatar_split_clause,[],[f6378,f6071,f7307,f6746,f6776]) ).
fof(f7307,plain,
( spl578_176
<=> ! [X146,X145,X147] :
( sP251(X147,X146,sK407,X145)
| ~ finite(X146)
| ~ element(X145,powerset(the_carrier(sK407)))
| in(sK252(X145,sK407),X145)
| ~ in(X147,sK248(X145,sK407,X146))
| ~ element(X146,powerset(X145)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_176])]) ).
fof(f6378,plain,
( ! [X145,X146,X147] :
( sP251(X147,X146,sK407,X145)
| ~ element(X146,powerset(X145))
| ~ rel_str(sK407)
| ~ in(X147,sK248(X145,sK407,X146))
| in(sK252(X145,sK407),X145)
| ~ element(X145,powerset(the_carrier(sK407)))
| ~ finite(X146)
| ~ transitive_relstr(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f3443]) ).
fof(f3443,plain,
! [X2,X0,X11,X1] :
( ~ element(X0,powerset(the_carrier(X1)))
| ~ element(X2,powerset(X0))
| empty_carrier(X1)
| sP251(X11,X2,X1,X0)
| ~ transitive_relstr(X1)
| ~ in(X11,sK248(X0,X1,X2))
| in(sK252(X0,X1),X0)
| ~ finite(X2)
| ~ rel_str(X1) ),
inference(cnf_transformation,[],[f1999]) ).
fof(f7305,plain,
( spl578_143
| ~ spl578_45
| ~ spl578_43
| spl578_31 ),
inference(avatar_split_clause,[],[f6454,f6071,f6676,f6684,f7137]) ).
fof(f6454,plain,
( ~ latt_str(sK407)
| ~ lattice(sK407)
| strict_rel_str(poset_of_lattice(sK407))
| spl578_31 ),
inference(resolution,[],[f6073,f3821]) ).
fof(f3821,plain,
! [X0] :
( ~ lattice(X0)
| ~ latt_str(X0)
| strict_rel_str(poset_of_lattice(X0))
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f2071]) ).
fof(f7304,plain,
( ~ spl578_45
| ~ spl578_43
| spl578_62
| ~ spl578_44
| spl578_31 ),
inference(avatar_split_clause,[],[f6540,f6071,f6680,f6755,f6676,f6684]) ).
fof(f6540,plain,
( ~ complete_latt_str(sK407)
| transitive_relstr(poset_of_lattice(sK407))
| ~ latt_str(sK407)
| ~ lattice(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4155]) ).
fof(f4155,plain,
! [X0] :
( empty_carrier(X0)
| transitive_relstr(poset_of_lattice(X0))
| ~ complete_latt_str(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f1679]) ).
fof(f7303,plain,
( ~ spl578_43
| spl578_137
| ~ spl578_45
| ~ spl578_44
| spl578_31 ),
inference(avatar_split_clause,[],[f6615,f6071,f6680,f6684,f7109,f6676]) ).
fof(f6615,plain,
( ~ complete_latt_str(sK407)
| ~ lattice(sK407)
| join_commutative(sK407)
| ~ latt_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4882]) ).
fof(f4882,plain,
! [X0] :
( join_commutative(X0)
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ lattice(X0)
| ~ complete_latt_str(X0) ),
inference(cnf_transformation,[],[f1247]) ).
fof(f7302,plain,
( spl578_97
| ~ spl578_83
| ~ spl578_43
| ~ spl578_45
| spl578_31 ),
inference(avatar_split_clause,[],[f6630,f6071,f6684,f6676,f6846,f6918]) ).
fof(f6630,plain,
( ~ lattice(sK407)
| ~ latt_str(sK407)
| ~ upper_bounded_semilattstr(sK407)
| with_infima_relstr(poset_of_lattice(sK407))
| spl578_31 ),
inference(resolution,[],[f6073,f5070]) ).
fof(f5070,plain,
! [X0] :
( with_infima_relstr(poset_of_lattice(X0))
| empty_carrier(X0)
| ~ latt_str(X0)
| ~ upper_bounded_semilattstr(X0)
| ~ lattice(X0) ),
inference(cnf_transformation,[],[f1481]) ).
fof(f7301,plain,
( ~ spl578_67
| ~ spl578_63
| ~ spl578_60
| spl578_175
| spl578_31 ),
inference(avatar_split_clause,[],[f6265,f6071,f7298,f6746,f6760,f6776]) ).
fof(f7298,plain,
( spl578_175
<=> filtered_subset(sK32(sK407),sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_175])]) ).
fof(f6265,plain,
( filtered_subset(sK32(sK407),sK407)
| ~ rel_str(sK407)
| ~ reflexive_relstr(sK407)
| ~ transitive_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2370]) ).
fof(f2370,plain,
! [X0] :
( ~ transitive_relstr(X0)
| filtered_subset(sK32(X0),X0)
| ~ rel_str(X0)
| empty_carrier(X0)
| ~ reflexive_relstr(X0) ),
inference(cnf_transformation,[],[f1995]) ).
fof(f7296,plain,
( ~ spl578_67
| spl578_174
| ~ spl578_60
| spl578_31 ),
inference(avatar_split_clause,[],[f6370,f6071,f6746,f7294,f6776]) ).
fof(f7294,plain,
( spl578_174
<=> ! [X121,X123,X122] :
( relstr_set_smaller(sK407,sK250(X123,sK407),sK253(X123,sK407))
| ~ element(X123,powerset(the_carrier(sK407)))
| in(X121,sK248(X123,sK407,X122))
| ~ sP251(X121,X122,sK407,X123)
| ~ finite(X122)
| ~ element(X122,powerset(X123)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_174])]) ).
fof(f6370,plain,
( ! [X121,X122,X123] :
( ~ rel_str(sK407)
| relstr_set_smaller(sK407,sK250(X123,sK407),sK253(X123,sK407))
| ~ transitive_relstr(sK407)
| ~ element(X122,powerset(X123))
| ~ finite(X122)
| ~ sP251(X121,X122,sK407,X123)
| in(X121,sK248(X123,sK407,X122))
| ~ element(X123,powerset(the_carrier(sK407))) )
| spl578_31 ),
inference(resolution,[],[f6073,f3435]) ).
fof(f3435,plain,
! [X2,X0,X11,X1] :
( ~ sP251(X11,X2,X1,X0)
| ~ transitive_relstr(X1)
| ~ element(X0,powerset(the_carrier(X1)))
| relstr_set_smaller(X1,sK250(X0,X1),sK253(X0,X1))
| ~ finite(X2)
| ~ rel_str(X1)
| ~ element(X2,powerset(X0))
| in(X11,sK248(X0,X1,X2))
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f1999]) ).
fof(f7292,plain,
( ~ spl578_67
| ~ spl578_60
| spl578_173
| spl578_31 ),
inference(avatar_split_clause,[],[f6383,f6071,f7290,f6746,f6776]) ).
fof(f7290,plain,
( spl578_173
<=> ! [X162,X160,X161] :
( ~ element(X161,powerset(X162))
| ~ element(X162,powerset(the_carrier(sK407)))
| ~ in(X160,sK248(X162,sK407,X161))
| ~ finite(X161)
| sP251(X160,X161,sK407,X162)
| sK247(X162,sK407) = sK249(X162,sK407) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_173])]) ).
fof(f6383,plain,
( ! [X162,X160,X161] :
( ~ element(X161,powerset(X162))
| sK247(X162,sK407) = sK249(X162,sK407)
| sP251(X160,X161,sK407,X162)
| ~ rel_str(sK407)
| ~ finite(X161)
| ~ transitive_relstr(sK407)
| ~ in(X160,sK248(X162,sK407,X161))
| ~ element(X162,powerset(the_carrier(sK407))) )
| spl578_31 ),
inference(resolution,[],[f6073,f3448]) ).
fof(f3448,plain,
! [X2,X0,X11,X1] :
( sP251(X11,X2,X1,X0)
| ~ element(X0,powerset(the_carrier(X1)))
| ~ rel_str(X1)
| ~ element(X2,powerset(X0))
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ in(X11,sK248(X0,X1,X2))
| ~ finite(X2)
| sK249(X0,X1) = sK247(X0,X1) ),
inference(cnf_transformation,[],[f1999]) ).
fof(f7288,plain,
( spl578_100
| ~ spl578_45
| ~ spl578_43
| spl578_31 ),
inference(avatar_split_clause,[],[f6451,f6071,f6676,f6684,f6933]) ).
fof(f6451,plain,
( ~ latt_str(sK407)
| ~ lattice(sK407)
| antisymmetric_relstr(poset_of_lattice(sK407))
| spl578_31 ),
inference(resolution,[],[f6073,f3818]) ).
fof(f3818,plain,
! [X0] :
( ~ lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0)
| antisymmetric_relstr(poset_of_lattice(X0)) ),
inference(cnf_transformation,[],[f2071]) ).
fof(f7287,plain,
( ~ spl578_171
| spl578_172
| ~ spl578_137
| spl578_31 ),
inference(avatar_split_clause,[],[f6553,f6071,f7109,f7285,f7281]) ).
fof(f7285,plain,
( spl578_172
<=> ! [X365,X366] :
( ~ element(X366,the_carrier(sK407))
| ~ element(X365,the_carrier(sK407))
| join_commut(sK407,X366,X365) = join_commut(sK407,X365,X366) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_172])]) ).
fof(f6553,plain,
( ! [X366,X365] :
( ~ join_commutative(sK407)
| ~ element(X366,the_carrier(sK407))
| ~ join_semilatt_str(sK407)
| join_commut(sK407,X366,X365) = join_commut(sK407,X365,X366)
| ~ element(X365,the_carrier(sK407)) )
| spl578_31 ),
inference(resolution,[],[f6073,f4289]) ).
fof(f4289,plain,
! [X2,X0,X1] :
( ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| join_commut(X0,X1,X2) = join_commut(X0,X2,X1)
| ~ join_commutative(X0)
| ~ join_semilatt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1668]) ).
fof(f1668,plain,
! [X0,X2,X1] :
( ~ join_semilatt_str(X0)
| empty_carrier(X0)
| join_commut(X0,X1,X2) = join_commut(X0,X2,X1)
| ~ element(X2,the_carrier(X0))
| ~ join_commutative(X0)
| ~ element(X1,the_carrier(X0)) ),
inference(flattening,[],[f1667]) ).
fof(f1667,plain,
! [X1,X2,X0] :
( join_commut(X0,X1,X2) = join_commut(X0,X2,X1)
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ join_semilatt_str(X0)
| ~ join_commutative(X0)
| ~ element(X2,the_carrier(X0)) ),
inference(ennf_transformation,[],[f91]) ).
fof(f91,axiom,
! [X1,X2,X0] :
( ( element(X1,the_carrier(X0))
& ~ empty_carrier(X0)
& join_semilatt_str(X0)
& join_commutative(X0)
& element(X2,the_carrier(X0)) )
=> join_commut(X0,X1,X2) = join_commut(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_lattices) ).
fof(f7279,plain,
( ~ spl578_63
| spl578_117
| ~ spl578_60
| ~ spl578_170
| spl578_31 ),
inference(avatar_split_clause,[],[f6422,f6071,f7276,f6746,f7020,f6760]) ).
fof(f7020,plain,
( spl578_117
<=> v2_waybel_3(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_117])]) ).
fof(f6422,plain,
( ~ v3_waybel_3(sK407)
| ~ rel_str(sK407)
| v2_waybel_3(sK407)
| ~ reflexive_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3693]) ).
fof(f3693,plain,
! [X0] :
( v2_waybel_3(X0)
| ~ v3_waybel_3(X0)
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1279]) ).
fof(f7274,plain,
( ~ spl578_74
| spl578_169
| spl578_31 ),
inference(avatar_split_clause,[],[f6427,f6071,f7272,f6806]) ).
fof(f6427,plain,
( ! [X232,X233] :
( ~ element(X233,the_carrier(sK407))
| ~ directed_relstr(sK407)
| empty_carrier(X232)
| ~ one_sorted_str(X232)
| strict_net_str(netstr_restr_to_element(X232,sK407,X233),X232)
| ~ net_str(sK407,X232) )
| spl578_31 ),
inference(resolution,[],[f6073,f3701]) ).
fof(f3701,plain,
! [X2,X0,X1] :
( ~ net_str(X2,X1)
| empty_carrier(X1)
| strict_net_str(netstr_restr_to_element(X1,X2,X0),X1)
| empty_carrier(X2)
| ~ element(X0,the_carrier(X2))
| ~ directed_relstr(X2)
| ~ one_sorted_str(X1) ),
inference(cnf_transformation,[],[f1942]) ).
fof(f7270,plain,
( spl578_168
| ~ spl578_69
| spl578_31 ),
inference(avatar_split_clause,[],[f6319,f6071,f6785,f7267]) ).
fof(f6319,plain,
( ~ meet_semilatt_str(sK407)
| element(bottom_of_semilattstr(sK407),the_carrier(sK407))
| spl578_31 ),
inference(resolution,[],[f6073,f2883]) ).
fof(f2883,plain,
! [X0] :
( ~ meet_semilatt_str(X0)
| empty_carrier(X0)
| element(bottom_of_semilattstr(X0),the_carrier(X0)) ),
inference(cnf_transformation,[],[f1451]) ).
fof(f1451,plain,
! [X0] :
( empty_carrier(X0)
| ~ meet_semilatt_str(X0)
| element(bottom_of_semilattstr(X0),the_carrier(X0)) ),
inference(flattening,[],[f1450]) ).
fof(f1450,plain,
! [X0] :
( element(bottom_of_semilattstr(X0),the_carrier(X0))
| ~ meet_semilatt_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f292]) ).
fof(f292,axiom,
! [X0] :
( ( meet_semilatt_str(X0)
& ~ empty_carrier(X0) )
=> element(bottom_of_semilattstr(X0),the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_lattices) ).
fof(f7264,plain,
( ~ spl578_74
| ~ spl578_60
| spl578_167
| spl578_31 ),
inference(avatar_split_clause,[],[f6438,f6071,f7262,f6746,f6806]) ).
fof(f7262,plain,
( spl578_167
<=> ! [X242,X241] :
( ~ element(X242,the_carrier(sK407))
| ~ element(X241,the_carrier(sK407))
| related(sK407,X241,sK313(sK407,X242,X241)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_167])]) ).
fof(f6438,plain,
( ! [X242,X241] :
( ~ element(X242,the_carrier(sK407))
| ~ rel_str(sK407)
| related(sK407,X241,sK313(sK407,X242,X241))
| ~ element(X241,the_carrier(sK407))
| ~ directed_relstr(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f3775]) ).
fof(f3775,plain,
! [X2,X0,X1] :
( ~ rel_str(X0)
| related(X0,X2,sK313(X0,X1,X2))
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ directed_relstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1817]) ).
fof(f7259,plain,
( spl578_166
| ~ spl578_47
| spl578_31 ),
inference(avatar_split_clause,[],[f6639,f6071,f6693,f7257]) ).
fof(f7257,plain,
( spl578_166
<=> ! [X445,X446,X444] :
( ~ net_str(X444,sK407)
| in(apply_netmap(sK407,X444,sK574(sK407,X444,X445,X446)),X445)
| ~ element(X446,the_carrier(X444))
| ~ is_often_in(sK407,X444,X445)
| empty_carrier(X444) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_166])]) ).
fof(f6639,plain,
( ! [X446,X445,X444] :
( ~ one_sorted_str(sK407)
| ~ net_str(X444,sK407)
| empty_carrier(X444)
| ~ is_often_in(sK407,X444,X445)
| ~ element(X446,the_carrier(X444))
| in(apply_netmap(sK407,X444,sK574(sK407,X444,X445,X446)),X445) )
| spl578_31 ),
inference(resolution,[],[f6073,f5165]) ).
fof(f5165,plain,
! [X2,X3,X0,X1] :
( ~ is_often_in(X0,X1,X2)
| empty_carrier(X1)
| in(apply_netmap(X0,X1,sK574(X0,X1,X2,X3)),X2)
| ~ one_sorted_str(X0)
| ~ element(X3,the_carrier(X1))
| empty_carrier(X0)
| ~ net_str(X1,X0) ),
inference(cnf_transformation,[],[f1456]) ).
fof(f7255,plain,
( ~ spl578_47
| spl578_165
| spl578_31 ),
inference(avatar_split_clause,[],[f6283,f6071,f7252,f6693]) ).
fof(f6283,plain,
( element(sK43(sK407),powerset(the_carrier(sK407)))
| ~ one_sorted_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2452]) ).
fof(f2452,plain,
! [X0] :
( empty_carrier(X0)
| element(sK43(X0),powerset(the_carrier(X0)))
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f1764]) ).
fof(f1764,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f1763]) ).
fof(f1763,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f554]) ).
fof(f554,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ? [X1] :
( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_struct_0) ).
fof(f7250,plain,
( ~ spl578_43
| ~ spl578_52
| ~ spl578_45
| spl578_137
| spl578_31 ),
inference(avatar_split_clause,[],[f6299,f6071,f7109,f6684,f6714,f6676]) ).
fof(f6299,plain,
( join_commutative(sK407)
| ~ lattice(sK407)
| ~ distributive_lattstr(sK407)
| ~ latt_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2768]) ).
fof(f2768,plain,
! [X0] :
( ~ lattice(X0)
| join_commutative(X0)
| empty_carrier(X0)
| ~ distributive_lattstr(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f2090]) ).
fof(f7249,plain,
( ~ spl578_60
| ~ spl578_63
| spl578_164
| spl578_31 ),
inference(avatar_split_clause,[],[f6598,f6071,f7246,f6760,f6746]) ).
fof(f7246,plain,
( spl578_164
<=> filtered_subset(sK491(sK407),sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_164])]) ).
fof(f6598,plain,
( filtered_subset(sK491(sK407),sK407)
| ~ reflexive_relstr(sK407)
| ~ rel_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4702]) ).
fof(f4702,plain,
! [X0] :
( ~ rel_str(X0)
| filtered_subset(sK491(X0),X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1920]) ).
fof(f7244,plain,
( ~ spl578_47
| spl578_163
| spl578_31 ),
inference(avatar_split_clause,[],[f6459,f6071,f7242,f6693]) ).
fof(f7242,plain,
( spl578_163
<=> ! [X247,X246,X249,X248] :
( element(sK325(X246,X247,X248,X249),the_carrier(X247))
| empty_carrier(X247)
| ~ net_str(X247,sK407)
| ~ transitive_relstr(X247)
| subnet(X247,sK407,X246)
| ~ directed_relstr(X247)
| ~ function(X248)
| ~ directed_relstr(X246)
| ~ relation_of2_as_subset(X248,the_carrier(X247),the_carrier(X246))
| ~ net_str(X246,sK407)
| the_mapping(sK407,X247) != function_of_composition(the_carrier(X247),the_carrier(X246),the_carrier(sK407),X248,the_mapping(sK407,X246))
| ~ quasi_total(X248,the_carrier(X247),the_carrier(X246))
| ~ element(X249,the_carrier(X247))
| ~ transitive_relstr(X246)
| empty_carrier(X246) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_163])]) ).
fof(f6459,plain,
( ! [X248,X246,X249,X247] :
( element(sK325(X246,X247,X248,X249),the_carrier(X247))
| empty_carrier(X246)
| ~ transitive_relstr(X246)
| ~ element(X249,the_carrier(X247))
| ~ quasi_total(X248,the_carrier(X247),the_carrier(X246))
| the_mapping(sK407,X247) != function_of_composition(the_carrier(X247),the_carrier(X246),the_carrier(sK407),X248,the_mapping(sK407,X246))
| ~ net_str(X246,sK407)
| ~ relation_of2_as_subset(X248,the_carrier(X247),the_carrier(X246))
| ~ directed_relstr(X246)
| ~ function(X248)
| ~ one_sorted_str(sK407)
| ~ directed_relstr(X247)
| subnet(X247,sK407,X246)
| ~ transitive_relstr(X247)
| ~ net_str(X247,sK407)
| empty_carrier(X247) )
| spl578_31 ),
inference(resolution,[],[f6073,f3846]) ).
fof(f7240,plain,
( ~ spl578_67
| ~ spl578_64
| ~ spl578_63
| ~ spl578_89
| ~ spl578_68
| spl578_117
| ~ spl578_60
| spl578_31 ),
inference(avatar_split_clause,[],[f6294,f6071,f6746,f7020,f6780,f6879,f6760,f6764,f6776]) ).
fof(f6294,plain,
( ~ rel_str(sK407)
| v2_waybel_3(sK407)
| ~ connected_relstr(sK407)
| ~ complete_relstr(sK407)
| ~ reflexive_relstr(sK407)
| ~ antisymmetric_relstr(sK407)
| ~ transitive_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2711]) ).
fof(f2711,plain,
! [X0] :
( ~ rel_str(X0)
| v2_waybel_3(X0)
| empty_carrier(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ connected_relstr(X0)
| ~ complete_relstr(X0)
| ~ reflexive_relstr(X0) ),
inference(cnf_transformation,[],[f1599]) ).
fof(f1599,plain,
! [X0] :
( ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ~ connected_relstr(X0)
| ~ complete_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ( ~ empty_carrier(X0)
& transitive_relstr(X0)
& v2_waybel_3(X0)
& reflexive_relstr(X0)
& connected_relstr(X0)
& antisymmetric_relstr(X0) ) ),
inference(flattening,[],[f1598]) ).
fof(f1598,plain,
! [X0] :
( ( ~ empty_carrier(X0)
& transitive_relstr(X0)
& v2_waybel_3(X0)
& reflexive_relstr(X0)
& connected_relstr(X0)
& antisymmetric_relstr(X0) )
| ~ reflexive_relstr(X0)
| ~ complete_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ connected_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( rel_str(X0)
=> ( ( reflexive_relstr(X0)
& complete_relstr(X0)
& antisymmetric_relstr(X0)
& connected_relstr(X0)
& transitive_relstr(X0)
& ~ empty_carrier(X0) )
=> ( ~ empty_carrier(X0)
& transitive_relstr(X0)
& v2_waybel_3(X0)
& reflexive_relstr(X0)
& connected_relstr(X0)
& antisymmetric_relstr(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_waybel_3) ).
fof(f7239,plain,
( ~ spl578_60
| ~ spl578_67
| spl578_162
| spl578_31 ),
inference(avatar_split_clause,[],[f6386,f6071,f7237,f6776,f6746]) ).
fof(f7237,plain,
( spl578_162
<=> ! [X169,X171,X170] :
( sK246(X169,sK407) = sK245(X169,sK407)
| ~ element(X170,powerset(X169))
| ~ in(X171,sK248(X169,sK407,X170))
| ~ finite(X170)
| ~ element(X169,powerset(the_carrier(sK407)))
| sP251(X171,X170,sK407,X169) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_162])]) ).
fof(f6386,plain,
( ! [X170,X171,X169] :
( sK246(X169,sK407) = sK245(X169,sK407)
| sP251(X171,X170,sK407,X169)
| ~ element(X169,powerset(the_carrier(sK407)))
| ~ finite(X170)
| ~ in(X171,sK248(X169,sK407,X170))
| ~ transitive_relstr(sK407)
| ~ rel_str(sK407)
| ~ element(X170,powerset(X169)) )
| spl578_31 ),
inference(resolution,[],[f6073,f3451]) ).
fof(f3451,plain,
! [X2,X0,X11,X1] :
( ~ transitive_relstr(X1)
| sK245(X0,X1) = sK246(X0,X1)
| empty_carrier(X1)
| ~ element(X0,powerset(the_carrier(X1)))
| ~ finite(X2)
| sP251(X11,X2,X1,X0)
| ~ in(X11,sK248(X0,X1,X2))
| ~ rel_str(X1)
| ~ element(X2,powerset(X0)) ),
inference(cnf_transformation,[],[f1999]) ).
fof(f7235,plain,
( ~ spl578_67
| ~ spl578_74
| spl578_161
| spl578_31 ),
inference(avatar_split_clause,[],[f6467,f6071,f7233,f6806,f6776]) ).
fof(f7233,plain,
( spl578_161
<=> ! [X279,X278,X281,X280] :
( function_of_composition(the_carrier(sK407),the_carrier(X279),the_carrier(X281),X280,the_mapping(X281,X279)) != the_mapping(X281,sK407)
| ~ transitive_relstr(X279)
| related(sK407,X278,sK325(X279,sK407,X280,X278))
| ~ quasi_total(X280,the_carrier(sK407),the_carrier(X279))
| empty_carrier(X281)
| ~ net_str(sK407,X281)
| empty_carrier(X279)
| ~ element(X278,the_carrier(sK407))
| ~ relation_of2_as_subset(X280,the_carrier(sK407),the_carrier(X279))
| ~ net_str(X279,X281)
| ~ directed_relstr(X279)
| ~ one_sorted_str(X281)
| subnet(sK407,X281,X279)
| ~ function(X280) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_161])]) ).
fof(f6467,plain,
( ! [X281,X279,X280,X278] :
( function_of_composition(the_carrier(sK407),the_carrier(X279),the_carrier(X281),X280,the_mapping(X281,X279)) != the_mapping(X281,sK407)
| ~ function(X280)
| subnet(sK407,X281,X279)
| ~ one_sorted_str(X281)
| ~ directed_relstr(X279)
| ~ net_str(X279,X281)
| ~ relation_of2_as_subset(X280,the_carrier(sK407),the_carrier(X279))
| ~ element(X278,the_carrier(sK407))
| empty_carrier(X279)
| ~ net_str(sK407,X281)
| ~ directed_relstr(sK407)
| empty_carrier(X281)
| ~ quasi_total(X280,the_carrier(sK407),the_carrier(X279))
| related(sK407,X278,sK325(X279,sK407,X280,X278))
| ~ transitive_relstr(X279)
| ~ transitive_relstr(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f3848]) ).
fof(f7231,plain,
( ~ spl578_60
| spl578_67
| ~ spl578_61
| spl578_31 ),
inference(avatar_split_clause,[],[f6282,f6071,f6750,f6776,f6746]) ).
fof(f6282,plain,
( ~ boolean_relstr(sK407)
| transitive_relstr(sK407)
| ~ rel_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2435]) ).
fof(f2435,plain,
! [X0] :
( ~ boolean_relstr(X0)
| transitive_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1699]) ).
fof(f7230,plain,
( ~ spl578_47
| spl578_160
| spl578_31 ),
inference(avatar_split_clause,[],[f6659,f6071,f7228,f6693]) ).
fof(f7228,plain,
( spl578_160
<=> ! [X496,X495,X494] :
( ~ element(X495,the_carrier(X494))
| ~ net_str(netstr_restr_to_element(sK407,X494,X495),sK407)
| ~ in(X496,the_carrier(netstr_restr_to_element(sK407,X494,X495)))
| ~ net_str(X494,sK407)
| empty_carrier(X494)
| related(X494,X495,sK122(X494,X495,X496))
| ~ strict_net_str(netstr_restr_to_element(sK407,X494,X495),sK407) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_160])]) ).
fof(f6659,plain,
( ! [X495,X494,X496] :
( ~ element(X495,the_carrier(X494))
| ~ strict_net_str(netstr_restr_to_element(sK407,X494,X495),sK407)
| related(X494,X495,sK122(X494,X495,X496))
| ~ one_sorted_str(sK407)
| empty_carrier(X494)
| ~ net_str(X494,sK407)
| ~ in(X496,the_carrier(netstr_restr_to_element(sK407,X494,X495)))
| ~ net_str(netstr_restr_to_element(sK407,X494,X495),sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f5249]) ).
fof(f5249,plain,
! [X2,X0,X1,X4] :
( related(X1,X2,sK122(X1,X2,X4))
| empty_carrier(X0)
| empty_carrier(X1)
| ~ net_str(netstr_restr_to_element(X0,X1,X2),X0)
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| ~ strict_net_str(netstr_restr_to_element(X0,X1,X2),X0)
| ~ in(X4,the_carrier(netstr_restr_to_element(X0,X1,X2)))
| ~ element(X2,the_carrier(X1)) ),
inference(equality_resolution,[],[f2858]) ).
fof(f2858,plain,
! [X2,X3,X0,X1,X4] :
( empty_carrier(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ element(X2,the_carrier(X1))
| ~ net_str(X3,X0)
| ~ strict_net_str(X3,X0)
| related(X1,X2,sK122(X1,X2,X4))
| ~ in(X4,the_carrier(X3))
| netstr_restr_to_element(X0,X1,X2) != X3
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f1613]) ).
fof(f7226,plain,
( spl578_159
| spl578_31
| ~ spl578_39
| ~ spl578_40 ),
inference(avatar_split_clause,[],[f7221,f6189,f6183,f6071,f7223]) ).
fof(f7221,plain,
( element(sK345(sK407),powerset(the_carrier(sK407)))
| spl578_31
| ~ spl578_39
| ~ spl578_40 ),
inference(subsumption_resolution,[],[f7220,f6185]) ).
fof(f7220,plain,
( element(sK345(sK407),powerset(the_carrier(sK407)))
| ~ top_str(sK407)
| spl578_31
| ~ spl578_40 ),
inference(subsumption_resolution,[],[f6508,f6191]) ).
fof(f6508,plain,
( element(sK345(sK407),powerset(the_carrier(sK407)))
| ~ topological_space(sK407)
| ~ top_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3973]) ).
fof(f3973,plain,
! [X0] :
( ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X0)
| element(sK345(X0),powerset(the_carrier(X0))) ),
inference(cnf_transformation,[],[f1854]) ).
fof(f1854,plain,
! [X0] :
( ~ top_str(X0)
| empty_carrier(X0)
| ? [X1] :
( ~ empty(X1)
& closed_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
| ~ topological_space(X0) ),
inference(flattening,[],[f1853]) ).
fof(f1853,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& closed_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) )
| empty_carrier(X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(ennf_transformation,[],[f560]) ).
fof(f560,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& top_str(X0)
& topological_space(X0) )
=> ? [X1] :
( ~ empty(X1)
& closed_subset(X1,X0)
& element(X1,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc7_pre_topc) ).
fof(f7219,plain,
( ~ spl578_74
| ~ spl578_67
| spl578_158
| spl578_31 ),
inference(avatar_split_clause,[],[f6484,f6071,f7217,f6776,f6806]) ).
fof(f7217,plain,
( spl578_158
<=> ! [X327,X326] :
( empty_carrier(X326)
| ~ net_str(X327,X326)
| the_mapping(X326,X327) = function_of_composition(the_carrier(X327),the_carrier(sK407),the_carrier(X326),sK322(X326,sK407,X327),the_mapping(X326,sK407))
| empty_carrier(X327)
| ~ subnet(X327,X326,sK407)
| ~ directed_relstr(X327)
| ~ transitive_relstr(X327)
| ~ net_str(sK407,X326)
| ~ one_sorted_str(X326) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_158])]) ).
fof(f6484,plain,
( ! [X327,X326] :
( empty_carrier(X326)
| ~ one_sorted_str(X326)
| ~ net_str(sK407,X326)
| empty_carrier(X327)
| ~ transitive_relstr(sK407)
| ~ directed_relstr(sK407)
| ~ transitive_relstr(X327)
| ~ directed_relstr(X327)
| ~ subnet(X327,X326,sK407)
| the_mapping(X326,X327) = function_of_composition(the_carrier(X327),the_carrier(sK407),the_carrier(X326),sK322(X326,sK407,X327),the_mapping(X326,sK407))
| ~ net_str(X327,X326) )
| spl578_31 ),
inference(resolution,[],[f6073,f3854]) ).
fof(f7215,plain,
( ~ spl578_60
| spl578_157
| spl578_31 ),
inference(avatar_split_clause,[],[f6625,f6071,f7212,f6746]) ).
fof(f7212,plain,
( spl578_157
<=> upper_relstr_subset(cast_as_carrier_subset(sK407),sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_157])]) ).
fof(f6625,plain,
( upper_relstr_subset(cast_as_carrier_subset(sK407),sK407)
| ~ rel_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f5065]) ).
fof(f5065,plain,
! [X0] :
( empty_carrier(X0)
| upper_relstr_subset(cast_as_carrier_subset(X0),X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1329]) ).
fof(f7210,plain,
( ~ spl578_127
| ~ spl578_60
| spl578_31 ),
inference(avatar_split_clause,[],[f6303,f6071,f6746,f7065]) ).
fof(f6303,plain,
( ~ rel_str(sK407)
| ~ empty(cast_as_carrier_subset(sK407))
| spl578_31 ),
inference(resolution,[],[f6073,f2801]) ).
fof(f2801,plain,
! [X0] :
( ~ rel_str(X0)
| empty_carrier(X0)
| ~ empty(cast_as_carrier_subset(X0)) ),
inference(cnf_transformation,[],[f2032]) ).
fof(f2032,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f2031]) ).
fof(f2031,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f401]) ).
fof(f401,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& rel_str(X0) )
=> ~ empty(cast_as_carrier_subset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_yellow_0) ).
fof(f7209,plain,
( ~ spl578_43
| ~ spl578_45
| spl578_156
| spl578_31 ),
inference(avatar_split_clause,[],[f6452,f6071,f7206,f6684,f6676]) ).
fof(f6452,plain,
( with_suprema_relstr(poset_of_lattice(sK407))
| ~ lattice(sK407)
| ~ latt_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3819]) ).
fof(f3819,plain,
! [X0] :
( ~ lattice(X0)
| empty_carrier(X0)
| with_suprema_relstr(poset_of_lattice(X0))
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f2071]) ).
fof(f7204,plain,
( ~ spl578_59
| ~ spl578_60
| spl578_155
| spl578_31 ),
inference(avatar_split_clause,[],[f6570,f6071,f7201,f6746,f6742]) ).
fof(f7201,plain,
( spl578_155
<=> filtered_subset(cast_as_carrier_subset(sK407),sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_155])]) ).
fof(f6570,plain,
( filtered_subset(cast_as_carrier_subset(sK407),sK407)
| ~ rel_str(sK407)
| ~ lower_bounded_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4442]) ).
fof(f4442,plain,
! [X0] :
( ~ rel_str(X0)
| ~ lower_bounded_relstr(X0)
| empty_carrier(X0)
| filtered_subset(cast_as_carrier_subset(X0),X0) ),
inference(cnf_transformation,[],[f1321]) ).
fof(f7199,plain,
( ~ spl578_63
| spl578_64
| ~ spl578_60
| ~ spl578_73
| spl578_31 ),
inference(avatar_split_clause,[],[f6332,f6071,f6801,f6746,f6764,f6760]) ).
fof(f6332,plain,
( ~ trivial_carrier(sK407)
| ~ rel_str(sK407)
| antisymmetric_relstr(sK407)
| ~ reflexive_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2923]) ).
fof(f2923,plain,
! [X0] :
( ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ trivial_carrier(X0)
| antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1823]) ).
fof(f7198,plain,
( ~ spl578_63
| ~ spl578_90
| spl578_73
| ~ spl578_67
| spl578_154
| ~ spl578_64
| ~ spl578_60
| spl578_31 ),
inference(avatar_split_clause,[],[f6528,f6071,f6746,f6764,f7195,f6776,f6801,f6883,f6760]) ).
fof(f7195,plain,
( spl578_154
<=> upper_relstr_subset(sK364(sK407),sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_154])]) ).
fof(f6528,plain,
( ~ rel_str(sK407)
| ~ antisymmetric_relstr(sK407)
| upper_relstr_subset(sK364(sK407),sK407)
| ~ transitive_relstr(sK407)
| trivial_carrier(sK407)
| ~ upper_bounded_relstr(sK407)
| ~ reflexive_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4099]) ).
fof(f4099,plain,
! [X0] :
( ~ upper_bounded_relstr(X0)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ antisymmetric_relstr(X0)
| upper_relstr_subset(sK364(X0),X0)
| ~ reflexive_relstr(X0)
| trivial_carrier(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1340]) ).
fof(f7193,plain,
( ~ spl578_61
| spl578_152
| ~ spl578_60
| spl578_31 ),
inference(avatar_split_clause,[],[f6277,f6071,f6746,f7184,f6750]) ).
fof(f6277,plain,
( ~ rel_str(sK407)
| distributive_relstr(sK407)
| ~ boolean_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2430]) ).
fof(f2430,plain,
! [X0] :
( ~ rel_str(X0)
| distributive_relstr(X0)
| empty_carrier(X0)
| ~ boolean_relstr(X0) ),
inference(cnf_transformation,[],[f1699]) ).
fof(f7192,plain,
( ~ spl578_67
| ~ spl578_63
| spl578_153
| ~ spl578_60
| spl578_31 ),
inference(avatar_split_clause,[],[f6267,f6071,f6746,f7189,f6760,f6776]) ).
fof(f7189,plain,
( spl578_153
<=> element(sK32(sK407),powerset(the_carrier(sK407))) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_153])]) ).
fof(f6267,plain,
( ~ rel_str(sK407)
| element(sK32(sK407),powerset(the_carrier(sK407)))
| ~ reflexive_relstr(sK407)
| ~ transitive_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2372]) ).
fof(f2372,plain,
! [X0] :
( ~ rel_str(X0)
| empty_carrier(X0)
| ~ reflexive_relstr(X0)
| element(sK32(X0),powerset(the_carrier(X0)))
| ~ transitive_relstr(X0) ),
inference(cnf_transformation,[],[f1995]) ).
fof(f7187,plain,
( ~ spl578_60
| spl578_152
| ~ spl578_61
| spl578_31 ),
inference(avatar_split_clause,[],[f6449,f6071,f6750,f7184,f6746]) ).
fof(f6449,plain,
( ~ boolean_relstr(sK407)
| distributive_relstr(sK407)
| ~ rel_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3793]) ).
fof(f3793,plain,
! [X0] :
( distributive_relstr(X0)
| ~ boolean_relstr(X0)
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1731]) ).
fof(f7182,plain,
( ~ spl578_43
| spl578_62
| ~ spl578_45
| spl578_31 ),
inference(avatar_split_clause,[],[f6556,f6071,f6684,f6755,f6676]) ).
fof(f6556,plain,
( ~ lattice(sK407)
| transitive_relstr(poset_of_lattice(sK407))
| ~ latt_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4312]) ).
fof(f4312,plain,
! [X0] :
( transitive_relstr(poset_of_lattice(X0))
| ~ lattice(X0)
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1226]) ).
fof(f7181,plain,
( ~ spl578_60
| ~ spl578_67
| spl578_151
| spl578_31 ),
inference(avatar_split_clause,[],[f6372,f6071,f7179,f6776,f6746]) ).
fof(f7179,plain,
( spl578_151
<=> ! [X128,X129,X127] :
( ~ finite(X127)
| sP251(X129,X127,sK407,X128)
| ~ in(X129,sK248(X128,sK407,X127))
| element(sK253(X128,sK407),the_carrier(sK407))
| ~ element(X128,powerset(the_carrier(sK407)))
| ~ element(X127,powerset(X128)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_151])]) ).
fof(f6372,plain,
( ! [X127,X128,X129] :
( ~ finite(X127)
| ~ element(X127,powerset(X128))
| ~ element(X128,powerset(the_carrier(sK407)))
| ~ transitive_relstr(sK407)
| ~ rel_str(sK407)
| element(sK253(X128,sK407),the_carrier(sK407))
| ~ in(X129,sK248(X128,sK407,X127))
| sP251(X129,X127,sK407,X128) )
| spl578_31 ),
inference(resolution,[],[f6073,f3437]) ).
fof(f3437,plain,
! [X2,X0,X11,X1] :
( ~ finite(X2)
| empty_carrier(X1)
| element(sK253(X0,X1),the_carrier(X1))
| sP251(X11,X2,X1,X0)
| ~ rel_str(X1)
| ~ in(X11,sK248(X0,X1,X2))
| ~ element(X2,powerset(X0))
| ~ element(X0,powerset(the_carrier(X1)))
| ~ transitive_relstr(X1) ),
inference(cnf_transformation,[],[f1999]) ).
fof(f7177,plain,
( ~ spl578_60
| ~ spl578_67
| spl578_150
| spl578_31 ),
inference(avatar_split_clause,[],[f6387,f6071,f7175,f6776,f6746]) ).
fof(f7175,plain,
( spl578_150
<=> ! [X173,X172,X174] :
( in(X172,sK248(X174,sK407,X173))
| ~ finite(X173)
| ~ element(X173,powerset(X174))
| ~ sP251(X172,X173,sK407,X174)
| sK246(X174,sK407) != sK247(X174,sK407)
| ~ element(X174,powerset(the_carrier(sK407))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_150])]) ).
fof(f6387,plain,
( ! [X174,X172,X173] :
( in(X172,sK248(X174,sK407,X173))
| ~ element(X174,powerset(the_carrier(sK407)))
| sK246(X174,sK407) != sK247(X174,sK407)
| ~ sP251(X172,X173,sK407,X174)
| ~ element(X173,powerset(X174))
| ~ transitive_relstr(sK407)
| ~ finite(X173)
| ~ rel_str(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f3452]) ).
fof(f3452,plain,
! [X2,X0,X11,X1] :
( ~ sP251(X11,X2,X1,X0)
| ~ rel_str(X1)
| ~ element(X0,powerset(the_carrier(X1)))
| ~ transitive_relstr(X1)
| sK246(X0,X1) != sK247(X0,X1)
| ~ element(X2,powerset(X0))
| in(X11,sK248(X0,X1,X2))
| ~ finite(X2)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f1999]) ).
fof(f7173,plain,
( ~ spl578_59
| spl578_132
| ~ spl578_67
| ~ spl578_68
| ~ spl578_64
| ~ spl578_63
| ~ spl578_60
| ~ spl578_66
| spl578_31 ),
inference(avatar_split_clause,[],[f6395,f6071,f6772,f6746,f6760,f6764,f6780,f6776,f7088,f6742]) ).
fof(f6395,plain,
( ~ up_complete_relstr(sK407)
| ~ rel_str(sK407)
| ~ reflexive_relstr(sK407)
| ~ antisymmetric_relstr(sK407)
| ~ connected_relstr(sK407)
| ~ transitive_relstr(sK407)
| with_infima_relstr(sK407)
| ~ lower_bounded_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3479]) ).
fof(f3479,plain,
! [X0] :
( ~ reflexive_relstr(X0)
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ~ connected_relstr(X0)
| ~ lower_bounded_relstr(X0)
| with_infima_relstr(X0)
| empty_carrier(X0)
| ~ up_complete_relstr(X0)
| ~ transitive_relstr(X0) ),
inference(cnf_transformation,[],[f1541]) ).
fof(f7172,plain,
( ~ spl578_149
| spl578_31
| ~ spl578_39
| ~ spl578_40 ),
inference(avatar_split_clause,[],[f7167,f6189,f6183,f6071,f7169]) ).
fof(f7169,plain,
( spl578_149
<=> empty(sK345(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_149])]) ).
fof(f7167,plain,
( ~ empty(sK345(sK407))
| spl578_31
| ~ spl578_39
| ~ spl578_40 ),
inference(subsumption_resolution,[],[f7166,f6185]) ).
fof(f7166,plain,
( ~ empty(sK345(sK407))
| ~ top_str(sK407)
| spl578_31
| ~ spl578_40 ),
inference(subsumption_resolution,[],[f6510,f6191]) ).
fof(f6510,plain,
( ~ topological_space(sK407)
| ~ empty(sK345(sK407))
| ~ top_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3975]) ).
fof(f3975,plain,
! [X0] :
( ~ empty(sK345(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1854]) ).
fof(f7165,plain,
( ~ spl578_63
| ~ spl578_67
| spl578_148
| ~ spl578_60
| spl578_31 ),
inference(avatar_split_clause,[],[f6258,f6071,f6746,f7162,f6776,f6760]) ).
fof(f7162,plain,
( spl578_148
<=> directed_subset(sK16(sK407),sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_148])]) ).
fof(f6258,plain,
( ~ rel_str(sK407)
| directed_subset(sK16(sK407),sK407)
| ~ transitive_relstr(sK407)
| ~ reflexive_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2280]) ).
fof(f2280,plain,
! [X0] :
( ~ reflexive_relstr(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| directed_subset(sK16(X0),X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1594]) ).
fof(f7160,plain,
( ~ spl578_93
| ~ spl578_60
| spl578_90
| spl578_31 ),
inference(avatar_split_clause,[],[f6421,f6071,f6883,f6746,f6897]) ).
fof(f6421,plain,
( upper_bounded_relstr(sK407)
| ~ rel_str(sK407)
| ~ heyting_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3689]) ).
fof(f3689,plain,
! [X0] :
( ~ heyting_relstr(X0)
| ~ rel_str(X0)
| empty_carrier(X0)
| upper_bounded_relstr(X0) ),
inference(cnf_transformation,[],[f1239]) ).
fof(f1239,plain,
! [X0] :
( ( upper_bounded_relstr(X0)
& ~ empty_carrier(X0) )
| empty_carrier(X0)
| ~ heyting_relstr(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f1238]) ).
fof(f1238,plain,
! [X0] :
( ( upper_bounded_relstr(X0)
& ~ empty_carrier(X0) )
| empty_carrier(X0)
| ~ heyting_relstr(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( rel_str(X0)
=> ( ( ~ empty_carrier(X0)
& heyting_relstr(X0) )
=> ( upper_bounded_relstr(X0)
& ~ empty_carrier(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc7_waybel_1) ).
fof(f7159,plain,
( spl578_147
| ~ spl578_47
| spl578_31 ),
inference(avatar_split_clause,[],[f6302,f6071,f6693,f7157]) ).
fof(f7157,plain,
( spl578_147
<=> ! [X25,X24,X23] :
( element(apply_on_structs(X23,sK407,X24,X25),the_carrier(sK407))
| ~ quasi_total(X24,the_carrier(X23),the_carrier(sK407))
| ~ function(X24)
| ~ one_sorted_str(X23)
| empty_carrier(X23)
| ~ relation_of2(X24,the_carrier(X23),the_carrier(sK407))
| ~ element(X25,the_carrier(X23)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_147])]) ).
fof(f6302,plain,
( ! [X24,X25,X23] :
( ~ one_sorted_str(sK407)
| element(apply_on_structs(X23,sK407,X24,X25),the_carrier(sK407))
| ~ element(X25,the_carrier(X23))
| ~ relation_of2(X24,the_carrier(X23),the_carrier(sK407))
| empty_carrier(X23)
| ~ one_sorted_str(X23)
| ~ function(X24)
| ~ quasi_total(X24,the_carrier(X23),the_carrier(sK407)) )
| spl578_31 ),
inference(resolution,[],[f6073,f2789]) ).
fof(f7155,plain,
( ~ spl578_47
| spl578_146
| spl578_31 ),
inference(avatar_split_clause,[],[f6526,f6071,f7153,f6693]) ).
fof(f7153,plain,
( spl578_146
<=> ! [X355] :
( ~ empty(the_mapping(sK407,X355))
| ~ net_str(X355,sK407)
| empty_carrier(X355) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_146])]) ).
fof(f6526,plain,
( ! [X355] :
( ~ empty(the_mapping(sK407,X355))
| empty_carrier(X355)
| ~ one_sorted_str(sK407)
| ~ net_str(X355,sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f4064]) ).
fof(f4064,plain,
! [X0,X1] :
( empty_carrier(X0)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| ~ empty(the_mapping(X0,X1)) ),
inference(cnf_transformation,[],[f1493]) ).
fof(f7151,plain,
( spl578_132
| ~ spl578_93
| ~ spl578_60
| spl578_31 ),
inference(avatar_split_clause,[],[f6340,f6071,f6746,f6897,f7088]) ).
fof(f6340,plain,
( ~ rel_str(sK407)
| ~ heyting_relstr(sK407)
| with_infima_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3047]) ).
fof(f3047,plain,
! [X0] :
( ~ heyting_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0)
| with_infima_relstr(X0) ),
inference(cnf_transformation,[],[f1811]) ).
fof(f7150,plain,
( spl578_94
| ~ spl578_89
| ~ spl578_60
| spl578_31 ),
inference(avatar_split_clause,[],[f6604,f6071,f6746,f6879,f6901]) ).
fof(f6604,plain,
( ~ rel_str(sK407)
| ~ complete_relstr(sK407)
| with_suprema_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4745]) ).
fof(f4745,plain,
! [X0] :
( empty_carrier(X0)
| ~ complete_relstr(X0)
| with_suprema_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1400]) ).
fof(f1400,plain,
! [X0] :
( ~ rel_str(X0)
| empty_carrier(X0)
| ( with_suprema_relstr(X0)
& ~ empty_carrier(X0)
& with_infima_relstr(X0) )
| ~ complete_relstr(X0) ),
inference(flattening,[],[f1399]) ).
fof(f1399,plain,
! [X0] :
( ( with_suprema_relstr(X0)
& ~ empty_carrier(X0)
& with_infima_relstr(X0) )
| ~ complete_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( rel_str(X0)
=> ( ( complete_relstr(X0)
& ~ empty_carrier(X0) )
=> ( with_suprema_relstr(X0)
& ~ empty_carrier(X0)
& with_infima_relstr(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_yellow_0) ).
fof(f7149,plain,
( spl578_145
| ~ spl578_43
| ~ spl578_45
| spl578_31 ),
inference(avatar_split_clause,[],[f6365,f6071,f6684,f6676,f7146]) ).
fof(f7146,plain,
( spl578_145
<=> rel_str_of(the_carrier(sK407),k2_lattice3(sK407)) = poset_of_lattice(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_145])]) ).
fof(f6365,plain,
( ~ lattice(sK407)
| ~ latt_str(sK407)
| rel_str_of(the_carrier(sK407),k2_lattice3(sK407)) = poset_of_lattice(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3228]) ).
fof(f3228,plain,
! [X0] :
( poset_of_lattice(X0) = rel_str_of(the_carrier(X0),k2_lattice3(X0))
| ~ lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f1344]) ).
fof(f1344,plain,
! [X0] :
( ~ lattice(X0)
| ~ latt_str(X0)
| poset_of_lattice(X0) = rel_str_of(the_carrier(X0),k2_lattice3(X0))
| empty_carrier(X0) ),
inference(flattening,[],[f1343]) ).
fof(f1343,plain,
! [X0] :
( poset_of_lattice(X0) = rel_str_of(the_carrier(X0),k2_lattice3(X0))
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ lattice(X0) ),
inference(ennf_transformation,[],[f153]) ).
fof(f153,axiom,
! [X0] :
( ( latt_str(X0)
& ~ empty_carrier(X0)
& lattice(X0) )
=> poset_of_lattice(X0) = rel_str_of(the_carrier(X0),k2_lattice3(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_lattice3) ).
fof(f7144,plain,
( ~ spl578_45
| ~ spl578_43
| spl578_144
| spl578_31 ),
inference(avatar_split_clause,[],[f6572,f6071,f7142,f6676,f6684]) ).
fof(f7142,plain,
( spl578_144
<=> ! [X383] :
( ~ element(X383,the_carrier(sK407))
| element(cast_to_el_of_LattPOSet(sK407,X383),the_carrier(poset_of_lattice(sK407))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_144])]) ).
fof(f6572,plain,
( ! [X383] :
( ~ element(X383,the_carrier(sK407))
| ~ latt_str(sK407)
| ~ lattice(sK407)
| element(cast_to_el_of_LattPOSet(sK407,X383),the_carrier(poset_of_lattice(sK407))) )
| spl578_31 ),
inference(resolution,[],[f6073,f4448]) ).
fof(f4448,plain,
! [X0,X1] :
( element(cast_to_el_of_LattPOSet(X1,X0),the_carrier(poset_of_lattice(X1)))
| empty_carrier(X1)
| ~ lattice(X1)
| ~ element(X0,the_carrier(X1))
| ~ latt_str(X1) ),
inference(cnf_transformation,[],[f2119]) ).
fof(f2119,plain,
! [X0,X1] :
( ~ lattice(X1)
| ~ latt_str(X1)
| element(cast_to_el_of_LattPOSet(X1,X0),the_carrier(poset_of_lattice(X1)))
| empty_carrier(X1)
| ~ element(X0,the_carrier(X1)) ),
inference(flattening,[],[f2118]) ).
fof(f2118,plain,
! [X1,X0] :
( element(cast_to_el_of_LattPOSet(X1,X0),the_carrier(poset_of_lattice(X1)))
| ~ element(X0,the_carrier(X1))
| ~ latt_str(X1)
| ~ lattice(X1)
| empty_carrier(X1) ),
inference(ennf_transformation,[],[f1079]) ).
fof(f1079,plain,
! [X1,X0] :
( ( element(X0,the_carrier(X1))
& latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1) )
=> element(cast_to_el_of_LattPOSet(X1,X0),the_carrier(poset_of_lattice(X1))) ),
inference(rectify,[],[f284]) ).
fof(f284,axiom,
! [X1,X0] :
( ( lattice(X0)
& element(X1,the_carrier(X0))
& latt_str(X0)
& ~ empty_carrier(X0) )
=> element(cast_to_el_of_LattPOSet(X0,X1),the_carrier(poset_of_lattice(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_lattice3) ).
fof(f7140,plain,
( ~ spl578_45
| spl578_143
| ~ spl578_43
| spl578_31 ),
inference(avatar_split_clause,[],[f6557,f6071,f6676,f7137,f6684]) ).
fof(f6557,plain,
( ~ latt_str(sK407)
| strict_rel_str(poset_of_lattice(sK407))
| ~ lattice(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4313]) ).
fof(f4313,plain,
! [X0] :
( ~ latt_str(X0)
| empty_carrier(X0)
| strict_rel_str(poset_of_lattice(X0))
| ~ lattice(X0) ),
inference(cnf_transformation,[],[f1226]) ).
fof(f7135,plain,
( ~ spl578_52
| ~ spl578_45
| spl578_55
| ~ spl578_43
| spl578_31 ),
inference(avatar_split_clause,[],[f6297,f6071,f6676,f6726,f6684,f6714]) ).
fof(f6297,plain,
( ~ latt_str(sK407)
| meet_commutative(sK407)
| ~ lattice(sK407)
| ~ distributive_lattstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2766]) ).
fof(f2766,plain,
! [X0] :
( meet_commutative(X0)
| ~ latt_str(X0)
| ~ lattice(X0)
| ~ distributive_lattstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f2090]) ).
fof(f7134,plain,
( ~ spl578_45
| ~ spl578_44
| ~ spl578_43
| ~ spl578_142
| spl578_31 ),
inference(avatar_split_clause,[],[f6535,f6071,f7131,f6676,f6680,f6684]) ).
fof(f6535,plain,
( ~ empty_carrier(poset_of_lattice(sK407))
| ~ latt_str(sK407)
| ~ complete_latt_str(sK407)
| ~ lattice(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4150]) ).
fof(f4150,plain,
! [X0] :
( ~ latt_str(X0)
| ~ empty_carrier(poset_of_lattice(X0))
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1679]) ).
fof(f7129,plain,
( ~ spl578_43
| ~ spl578_44
| ~ spl578_45
| spl578_141
| spl578_31 ),
inference(avatar_split_clause,[],[f6548,f6071,f7127,f6684,f6680,f6676]) ).
fof(f7127,plain,
( spl578_141
<=> ! [X358,X357] :
( join_of_latt_set(sK407,X357) = X358
| ~ element(X358,the_carrier(sK407))
| element(sK388(sK407,X358,X357),the_carrier(sK407))
| ~ latt_element_smaller(sK407,X358,X357) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_141])]) ).
fof(f6548,plain,
( ! [X358,X357] :
( join_of_latt_set(sK407,X357) = X358
| ~ latt_element_smaller(sK407,X358,X357)
| ~ lattice(sK407)
| ~ complete_latt_str(sK407)
| element(sK388(sK407,X358,X357),the_carrier(sK407))
| ~ latt_str(sK407)
| ~ element(X358,the_carrier(sK407)) )
| spl578_31 ),
inference(resolution,[],[f6073,f4198]) ).
fof(f4198,plain,
! [X2,X0,X1] :
( ~ lattice(X0)
| join_of_latt_set(X0,X2) = X1
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| element(sK388(X0,X1,X2),the_carrier(X0))
| ~ complete_latt_str(X0)
| ~ latt_element_smaller(X0,X1,X2)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f2002]) ).
fof(f7125,plain,
( ~ spl578_69
| spl578_140
| spl578_31 ),
inference(avatar_split_clause,[],[f6435,f6071,f7123,f6785]) ).
fof(f7123,plain,
( spl578_140
<=> ! [X237,X236] :
( ~ element(X237,the_carrier(sK407))
| ~ element(X236,the_carrier(sK407))
| element(meet(sK407,X236,X237),the_carrier(sK407)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_140])]) ).
fof(f6435,plain,
( ! [X236,X237] :
( ~ element(X237,the_carrier(sK407))
| ~ element(X236,the_carrier(sK407))
| element(meet(sK407,X236,X237),the_carrier(sK407))
| ~ meet_semilatt_str(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f3767]) ).
fof(f3767,plain,
! [X2,X0,X1] :
( element(meet(X2,X1,X0),the_carrier(X2))
| empty_carrier(X2)
| ~ element(X1,the_carrier(X2))
| ~ element(X0,the_carrier(X2))
| ~ meet_semilatt_str(X2) ),
inference(cnf_transformation,[],[f2157]) ).
fof(f2157,plain,
! [X1,X2,X0] :
( empty_carrier(X2)
| ~ meet_semilatt_str(X2)
| ~ element(X0,the_carrier(X2))
| element(meet(X2,X1,X0),the_carrier(X2))
| ~ element(X1,the_carrier(X2)) ),
inference(flattening,[],[f2156]) ).
fof(f2156,plain,
! [X2,X0,X1] :
( element(meet(X2,X1,X0),the_carrier(X2))
| ~ element(X0,the_carrier(X2))
| ~ meet_semilatt_str(X2)
| empty_carrier(X2)
| ~ element(X1,the_carrier(X2)) ),
inference(ennf_transformation,[],[f1042]) ).
fof(f1042,plain,
! [X2,X0,X1] :
( ( element(X0,the_carrier(X2))
& meet_semilatt_str(X2)
& ~ empty_carrier(X2)
& element(X1,the_carrier(X2)) )
=> element(meet(X2,X1,X0),the_carrier(X2)) ),
inference(rectify,[],[f261]) ).
fof(f261,axiom,
! [X2,X1,X0] :
( ( ~ empty_carrier(X0)
& element(X2,the_carrier(X0))
& element(X1,the_carrier(X0))
& meet_semilatt_str(X0) )
=> element(meet(X0,X1,X2),the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_lattices) ).
fof(f7121,plain,
( ~ spl578_60
| ~ spl578_67
| spl578_139
| spl578_31 ),
inference(avatar_split_clause,[],[f6385,f6071,f7119,f6776,f6746]) ).
fof(f7119,plain,
( spl578_139
<=> ! [X166,X167,X168] :
( in(X167,sK248(X166,sK407,X168))
| ~ sP251(X167,X168,sK407,X166)
| sK246(X166,sK407) = sK245(X166,sK407)
| ~ element(X168,powerset(X166))
| ~ finite(X168)
| ~ element(X166,powerset(the_carrier(sK407))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_139])]) ).
fof(f6385,plain,
( ! [X168,X166,X167] :
( in(X167,sK248(X166,sK407,X168))
| ~ transitive_relstr(sK407)
| ~ element(X166,powerset(the_carrier(sK407)))
| ~ finite(X168)
| ~ element(X168,powerset(X166))
| sK246(X166,sK407) = sK245(X166,sK407)
| ~ rel_str(sK407)
| ~ sP251(X167,X168,sK407,X166) )
| spl578_31 ),
inference(resolution,[],[f6073,f3450]) ).
fof(f3450,plain,
! [X2,X0,X11,X1] :
( ~ element(X0,powerset(the_carrier(X1)))
| empty_carrier(X1)
| in(X11,sK248(X0,X1,X2))
| ~ finite(X2)
| ~ transitive_relstr(X1)
| ~ rel_str(X1)
| ~ sP251(X11,X2,X1,X0)
| sK245(X0,X1) = sK246(X0,X1)
| ~ element(X2,powerset(X0)) ),
inference(cnf_transformation,[],[f1999]) ).
fof(f7117,plain,
( ~ spl578_71
| ~ spl578_45
| spl578_100
| ~ spl578_43
| spl578_31 ),
inference(avatar_split_clause,[],[f6352,f6071,f6676,f6933,f6684,f6792]) ).
fof(f6352,plain,
( ~ latt_str(sK407)
| antisymmetric_relstr(poset_of_lattice(sK407))
| ~ lattice(sK407)
| ~ lower_bounded_semilattstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3116]) ).
fof(f3116,plain,
! [X0] :
( ~ latt_str(X0)
| empty_carrier(X0)
| ~ lattice(X0)
| ~ lower_bounded_semilattstr(X0)
| antisymmetric_relstr(poset_of_lattice(X0)) ),
inference(cnf_transformation,[],[f2135]) ).
fof(f7116,plain,
( spl578_56
| ~ spl578_60
| spl578_138
| ~ spl578_63
| spl578_31 ),
inference(avatar_split_clause,[],[f6554,f6071,f6760,f7114,f6746,f6730]) ).
fof(f6730,plain,
( spl578_56
<=> ! [X363] : ~ element(X363,the_carrier(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_56])]) ).
fof(f7114,plain,
( spl578_138
<=> ! [X368] :
( ~ element(X368,the_carrier(sK407))
| related_reflexive(sK407,X368,X368) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_138])]) ).
fof(f6554,plain,
( ! [X368,X367] :
( ~ reflexive_relstr(sK407)
| ~ element(X368,the_carrier(sK407))
| ~ rel_str(sK407)
| ~ element(X367,the_carrier(sK407))
| related_reflexive(sK407,X368,X368) )
| spl578_31 ),
inference(resolution,[],[f6073,f4296]) ).
fof(f4296,plain,
! [X2,X0,X1] :
( ~ element(X1,the_carrier(X2))
| ~ reflexive_relstr(X2)
| empty_carrier(X2)
| related_reflexive(X2,X0,X0)
| ~ element(X0,the_carrier(X2))
| ~ rel_str(X2) ),
inference(cnf_transformation,[],[f1213]) ).
fof(f1213,plain,
! [X2,X0,X1] :
( ~ element(X1,the_carrier(X2))
| ~ element(X0,the_carrier(X2))
| ~ rel_str(X2)
| ~ reflexive_relstr(X2)
| empty_carrier(X2)
| related_reflexive(X2,X0,X0) ),
inference(flattening,[],[f1212]) ).
fof(f1212,plain,
! [X2,X0,X1] :
( related_reflexive(X2,X0,X0)
| empty_carrier(X2)
| ~ element(X1,the_carrier(X2))
| ~ reflexive_relstr(X2)
| ~ rel_str(X2)
| ~ element(X0,the_carrier(X2)) ),
inference(ennf_transformation,[],[f1077]) ).
fof(f1077,plain,
! [X2,X0,X1] :
( ( ~ empty_carrier(X2)
& element(X1,the_carrier(X2))
& reflexive_relstr(X2)
& rel_str(X2)
& element(X0,the_carrier(X2)) )
=> related_reflexive(X2,X0,X0) ),
inference(rectify,[],[f601]) ).
fof(f601,axiom,
! [X1,X2,X0] :
( ( element(X1,the_carrier(X0))
& reflexive_relstr(X0)
& ~ empty_carrier(X0)
& element(X2,the_carrier(X0))
& rel_str(X0) )
=> related_reflexive(X0,X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r3_orders_2) ).
fof(f7112,plain,
( ~ spl578_57
| ~ spl578_136
| ~ spl578_49
| spl578_45
| ~ spl578_43
| ~ spl578_137
| ~ spl578_58
| ~ spl578_55
| spl578_31 ),
inference(avatar_split_clause,[],[f6602,f6071,f6726,f6737,f7109,f6676,f6684,f6701,f7105,f6733]) ).
fof(f6602,plain,
( ~ meet_commutative(sK407)
| ~ meet_absorbing(sK407)
| ~ join_commutative(sK407)
| ~ latt_str(sK407)
| lattice(sK407)
| ~ meet_associative(sK407)
| ~ join_associative(sK407)
| ~ join_absorbing(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4729]) ).
fof(f4729,plain,
! [X0] :
( ~ latt_str(X0)
| ~ meet_commutative(X0)
| lattice(X0)
| ~ meet_absorbing(X0)
| ~ meet_associative(X0)
| ~ join_associative(X0)
| empty_carrier(X0)
| ~ join_commutative(X0)
| ~ join_absorbing(X0) ),
inference(cnf_transformation,[],[f1396]) ).
fof(f1396,plain,
! [X0] :
( ( lattice(X0)
& ~ empty_carrier(X0) )
| ~ join_associative(X0)
| empty_carrier(X0)
| ~ join_absorbing(X0)
| ~ meet_associative(X0)
| ~ join_commutative(X0)
| ~ latt_str(X0)
| ~ meet_commutative(X0)
| ~ meet_absorbing(X0) ),
inference(flattening,[],[f1395]) ).
fof(f1395,plain,
! [X0] :
( ( lattice(X0)
& ~ empty_carrier(X0) )
| ~ join_commutative(X0)
| empty_carrier(X0)
| ~ meet_associative(X0)
| ~ meet_absorbing(X0)
| ~ join_absorbing(X0)
| ~ meet_commutative(X0)
| ~ join_associative(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( latt_str(X0)
=> ( ( join_commutative(X0)
& ~ empty_carrier(X0)
& meet_associative(X0)
& meet_absorbing(X0)
& join_absorbing(X0)
& meet_commutative(X0)
& join_associative(X0) )
=> ( lattice(X0)
& ~ empty_carrier(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_lattices) ).
fof(f7103,plain,
( spl578_135
| ~ spl578_47
| spl578_31 ),
inference(avatar_split_clause,[],[f6414,f6071,f6693,f7101]) ).
fof(f7101,plain,
( spl578_135
<=> ! [X213,X212] :
( ~ net_str(X213,sK407)
| net_str(X212,sK407)
| ~ transitive_relstr(X213)
| ~ subnet(X212,sK407,X213)
| ~ directed_relstr(X213)
| empty_carrier(X213) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_135])]) ).
fof(f6414,plain,
( ! [X212,X213] :
( ~ one_sorted_str(sK407)
| ~ net_str(X213,sK407)
| empty_carrier(X213)
| ~ directed_relstr(X213)
| ~ subnet(X212,sK407,X213)
| ~ transitive_relstr(X213)
| net_str(X212,sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f3670]) ).
fof(f7099,plain,
( spl578_134
| ~ spl578_47
| spl578_31 ),
inference(avatar_split_clause,[],[f6337,f6071,f6693,f7097]) ).
fof(f7097,plain,
( spl578_134
<=> ! [X86,X85] :
( ~ net_str(X86,sK407)
| ~ element(X85,the_carrier(X86))
| empty_carrier(X86)
| net_str(netstr_restr_to_element(sK407,X86,X85),sK407) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_134])]) ).
fof(f6337,plain,
( ! [X86,X85] :
( ~ one_sorted_str(sK407)
| ~ net_str(X86,sK407)
| net_str(netstr_restr_to_element(sK407,X86,X85),sK407)
| empty_carrier(X86)
| ~ element(X85,the_carrier(X86)) )
| spl578_31 ),
inference(resolution,[],[f6073,f2926]) ).
fof(f2926,plain,
! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| net_str(netstr_restr_to_element(X2,X1,X0),X2)
| empty_carrier(X2)
| ~ net_str(X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X2) ),
inference(cnf_transformation,[],[f1285]) ).
fof(f7095,plain,
( ~ spl578_67
| ~ spl578_60
| spl578_133
| spl578_31 ),
inference(avatar_split_clause,[],[f6375,f6071,f7093,f6746,f6776]) ).
fof(f7093,plain,
( spl578_133
<=> ! [X137,X136,X138] :
( in(X136,sK248(X137,sK407,X138))
| ~ finite(X138)
| ~ element(X137,powerset(the_carrier(sK407)))
| in(sK252(X137,sK407),X137)
| ~ element(X138,powerset(X137))
| ~ sP251(X136,X138,sK407,X137) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_133])]) ).
fof(f6375,plain,
( ! [X138,X136,X137] :
( in(X136,sK248(X137,sK407,X138))
| ~ rel_str(sK407)
| ~ sP251(X136,X138,sK407,X137)
| ~ transitive_relstr(sK407)
| ~ element(X138,powerset(X137))
| in(sK252(X137,sK407),X137)
| ~ element(X137,powerset(the_carrier(sK407)))
| ~ finite(X138) )
| spl578_31 ),
inference(resolution,[],[f6073,f3440]) ).
fof(f3440,plain,
! [X2,X0,X11,X1] :
( in(X11,sK248(X0,X1,X2))
| ~ element(X2,powerset(X0))
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| in(sK252(X0,X1),X0)
| ~ element(X0,powerset(the_carrier(X1)))
| ~ sP251(X11,X2,X1,X0)
| ~ finite(X2)
| ~ rel_str(X1) ),
inference(cnf_transformation,[],[f1999]) ).
fof(f7091,plain,
( spl578_132
| ~ spl578_89
| ~ spl578_60
| spl578_31 ),
inference(avatar_split_clause,[],[f6603,f6071,f6746,f6879,f7088]) ).
fof(f6603,plain,
( ~ rel_str(sK407)
| ~ complete_relstr(sK407)
| with_infima_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4744]) ).
fof(f4744,plain,
! [X0] :
( ~ rel_str(X0)
| ~ complete_relstr(X0)
| empty_carrier(X0)
| with_infima_relstr(X0) ),
inference(cnf_transformation,[],[f1400]) ).
fof(f7086,plain,
( ~ spl578_45
| spl578_131
| ~ spl578_43
| ~ spl578_83
| spl578_31 ),
inference(avatar_split_clause,[],[f6628,f6071,f6846,f6676,f7083,f6684]) ).
fof(f6628,plain,
( ~ upper_bounded_semilattstr(sK407)
| ~ latt_str(sK407)
| upper_bounded_relstr(poset_of_lattice(sK407))
| ~ lattice(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f5068]) ).
fof(f5068,plain,
! [X0] :
( ~ latt_str(X0)
| upper_bounded_relstr(poset_of_lattice(X0))
| ~ upper_bounded_semilattstr(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1481]) ).
fof(f7081,plain,
( ~ spl578_47
| spl578_130
| spl578_31 ),
inference(avatar_split_clause,[],[f6649,f6071,f7079,f6693]) ).
fof(f7079,plain,
( spl578_130
<=> ! [X467,X466] :
( empty_carrier(X466)
| ~ element(X467,the_carrier(X466))
| ~ net_str(netstr_restr_to_element(sK407,X466,X467),sK407)
| ~ strict_net_str(netstr_restr_to_element(sK407,X466,X467),sK407)
| ~ net_str(X466,sK407)
| the_mapping(sK407,netstr_restr_to_element(sK407,X466,X467)) = partfun_dom_restriction(the_carrier(X466),the_carrier(sK407),the_mapping(sK407,X466),the_carrier(netstr_restr_to_element(sK407,X466,X467))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_130])]) ).
fof(f6649,plain,
( ! [X467,X466] :
( empty_carrier(X466)
| the_mapping(sK407,netstr_restr_to_element(sK407,X466,X467)) = partfun_dom_restriction(the_carrier(X466),the_carrier(sK407),the_mapping(sK407,X466),the_carrier(netstr_restr_to_element(sK407,X466,X467)))
| ~ net_str(X466,sK407)
| ~ strict_net_str(netstr_restr_to_element(sK407,X466,X467),sK407)
| ~ net_str(netstr_restr_to_element(sK407,X466,X467),sK407)
| ~ element(X467,the_carrier(X466))
| ~ one_sorted_str(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f5243]) ).
fof(f5243,plain,
! [X2,X0,X1] :
( ~ net_str(netstr_restr_to_element(X0,X1,X2),X0)
| empty_carrier(X0)
| ~ element(X2,the_carrier(X1))
| partfun_dom_restriction(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(netstr_restr_to_element(X0,X1,X2))) = the_mapping(X0,netstr_restr_to_element(X0,X1,X2))
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0)
| ~ strict_net_str(netstr_restr_to_element(X0,X1,X2),X0) ),
inference(equality_resolution,[],[f2866]) ).
fof(f2866,plain,
! [X2,X3,X0,X1] :
( empty_carrier(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ element(X2,the_carrier(X1))
| ~ net_str(X3,X0)
| ~ strict_net_str(X3,X0)
| the_mapping(X0,X3) = partfun_dom_restriction(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X3))
| netstr_restr_to_element(X0,X1,X2) != X3
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f1613]) ).
fof(f7077,plain,
( ~ spl578_43
| spl578_129
| spl578_31 ),
inference(avatar_split_clause,[],[f6330,f6071,f7075,f6676]) ).
fof(f7075,plain,
( spl578_129
<=> ! [X77,X78] :
( latt_element_smaller(sK407,X77,X78)
| ~ below(sK407,sK127(sK407,X77,X78),X77)
| ~ element(X77,the_carrier(sK407)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_129])]) ).
fof(f6330,plain,
( ! [X78,X77] :
( latt_element_smaller(sK407,X77,X78)
| ~ latt_str(sK407)
| ~ element(X77,the_carrier(sK407))
| ~ below(sK407,sK127(sK407,X77,X78),X77) )
| spl578_31 ),
inference(resolution,[],[f6073,f2915]) ).
fof(f2915,plain,
! [X2,X0,X1] :
( empty_carrier(X0)
| latt_element_smaller(X0,X1,X2)
| ~ latt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ below(X0,sK127(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f1710]) ).
fof(f7073,plain,
( ~ spl578_60
| ~ spl578_61
| spl578_90
| spl578_31 ),
inference(avatar_split_clause,[],[f6273,f6071,f6883,f6750,f6746]) ).
fof(f6273,plain,
( upper_bounded_relstr(sK407)
| ~ boolean_relstr(sK407)
| ~ rel_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2426]) ).
fof(f2426,plain,
! [X0] :
( ~ boolean_relstr(X0)
| empty_carrier(X0)
| upper_bounded_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1699]) ).
fof(f7072,plain,
( ~ spl578_47
| spl578_128
| spl578_31 ),
inference(avatar_split_clause,[],[f6367,f6071,f7070,f6693]) ).
fof(f7070,plain,
( spl578_128
<=> ! [X114,X115] :
( ~ element(X114,the_carrier(X115))
| ~ net_str(X115,sK407)
| apply_netmap(sK407,X115,X114) = apply_on_structs(X115,sK407,the_mapping(sK407,X115),X114)
| empty_carrier(X115) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_128])]) ).
fof(f6367,plain,
( ! [X114,X115] :
( ~ element(X114,the_carrier(X115))
| ~ one_sorted_str(sK407)
| empty_carrier(X115)
| apply_netmap(sK407,X115,X114) = apply_on_structs(X115,sK407,the_mapping(sK407,X115),X114)
| ~ net_str(X115,sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f3424]) ).
fof(f3424,plain,
! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| ~ element(X2,the_carrier(X1))
| apply_netmap(X0,X1,X2) = apply_on_structs(X1,X0,the_mapping(X0,X1),X2)
| empty_carrier(X1)
| empty_carrier(X0)
| ~ net_str(X1,X0) ),
inference(cnf_transformation,[],[f1224]) ).
fof(f1224,plain,
! [X0] :
( ~ one_sorted_str(X0)
| ! [X1] :
( ~ net_str(X1,X0)
| empty_carrier(X1)
| ! [X2] :
( apply_netmap(X0,X1,X2) = apply_on_structs(X1,X0,the_mapping(X0,X1),X2)
| ~ element(X2,the_carrier(X1)) ) )
| empty_carrier(X0) ),
inference(flattening,[],[f1223]) ).
fof(f1223,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( apply_netmap(X0,X1,X2) = apply_on_structs(X1,X0,the_mapping(X0,X1),X2)
| ~ element(X2,the_carrier(X1)) )
| empty_carrier(X1)
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f216]) ).
fof(f216,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( ~ empty_carrier(X1)
& net_str(X1,X0) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> apply_netmap(X0,X1,X2) = apply_on_structs(X1,X0,the_mapping(X0,X1),X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_waybel_0) ).
fof(f7068,plain,
( ~ spl578_127
| ~ spl578_90
| ~ spl578_60
| spl578_31 ),
inference(avatar_split_clause,[],[f6346,f6071,f6746,f6883,f7065]) ).
fof(f6346,plain,
( ~ rel_str(sK407)
| ~ upper_bounded_relstr(sK407)
| ~ empty(cast_as_carrier_subset(sK407))
| spl578_31 ),
inference(resolution,[],[f6073,f3110]) ).
fof(f3110,plain,
! [X0] :
( ~ rel_str(X0)
| ~ upper_bounded_relstr(X0)
| empty_carrier(X0)
| ~ empty(cast_as_carrier_subset(X0)) ),
inference(cnf_transformation,[],[f2007]) ).
fof(f7063,plain,
( ~ spl578_67
| ~ spl578_60
| spl578_126
| spl578_31 ),
inference(avatar_split_clause,[],[f6382,f6071,f7061,f6746,f6776]) ).
fof(f7061,plain,
( spl578_126
<=> ! [X157,X158,X159] :
( ~ sP251(X157,X159,sK407,X158)
| sK246(X158,sK407) = sK250(X158,sK407)
| ~ element(X158,powerset(the_carrier(sK407)))
| ~ element(X159,powerset(X158))
| in(X157,sK248(X158,sK407,X159))
| ~ finite(X159) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_126])]) ).
fof(f6382,plain,
( ! [X158,X159,X157] :
( ~ sP251(X157,X159,sK407,X158)
| ~ finite(X159)
| in(X157,sK248(X158,sK407,X159))
| ~ element(X159,powerset(X158))
| ~ rel_str(sK407)
| ~ element(X158,powerset(the_carrier(sK407)))
| sK246(X158,sK407) = sK250(X158,sK407)
| ~ transitive_relstr(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f3447]) ).
fof(f3447,plain,
! [X2,X0,X11,X1] :
( empty_carrier(X1)
| in(X11,sK248(X0,X1,X2))
| ~ element(X0,powerset(the_carrier(X1)))
| ~ element(X2,powerset(X0))
| sK246(X0,X1) = sK250(X0,X1)
| ~ rel_str(X1)
| ~ transitive_relstr(X1)
| ~ finite(X2)
| ~ sP251(X11,X2,X1,X0) ),
inference(cnf_transformation,[],[f1999]) ).
fof(f7059,plain,
( spl578_125
| ~ spl578_43
| spl578_31 ),
inference(avatar_split_clause,[],[f6307,f6071,f6676,f7057]) ).
fof(f7057,plain,
( spl578_125
<=> ! [X34,X33] :
( element(sK109(sK407,X33,X34),the_carrier(sK407))
| latt_set_smaller(sK407,X33,X34)
| ~ element(X33,the_carrier(sK407)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_125])]) ).
fof(f6307,plain,
( ! [X34,X33] :
( ~ latt_str(sK407)
| element(sK109(sK407,X33,X34),the_carrier(sK407))
| ~ element(X33,the_carrier(sK407))
| latt_set_smaller(sK407,X33,X34) )
| spl578_31 ),
inference(resolution,[],[f6073,f2805]) ).
fof(f2805,plain,
! [X2,X0,X1] :
( ~ latt_str(X0)
| ~ element(X1,the_carrier(X0))
| element(sK109(X0,X1,X2),the_carrier(X0))
| latt_set_smaller(X0,X1,X2)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f2113]) ).
fof(f7055,plain,
( ~ spl578_47
| spl578_124
| spl578_31 ),
inference(avatar_split_clause,[],[f6465,f6071,f7053,f6693]) ).
fof(f7053,plain,
( spl578_124
<=> ! [X272,X270,X271,X273] :
( ~ directed_relstr(X270)
| ~ function(X273)
| related(X270,X271,sK325(X272,X270,X273,X271))
| subnet(X270,sK407,X272)
| ~ quasi_total(X273,the_carrier(X270),the_carrier(X272))
| ~ relation_of2_as_subset(X273,the_carrier(X270),the_carrier(X272))
| function_of_composition(the_carrier(X270),the_carrier(X272),the_carrier(sK407),X273,the_mapping(sK407,X272)) != the_mapping(sK407,X270)
| empty_carrier(X270)
| ~ net_str(X270,sK407)
| ~ transitive_relstr(X270)
| ~ transitive_relstr(X272)
| ~ net_str(X272,sK407)
| empty_carrier(X272)
| ~ directed_relstr(X272)
| ~ element(X271,the_carrier(X270)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_124])]) ).
fof(f6465,plain,
( ! [X273,X271,X272,X270] :
( ~ directed_relstr(X270)
| ~ element(X271,the_carrier(X270))
| ~ transitive_relstr(X272)
| ~ transitive_relstr(X270)
| ~ net_str(X270,sK407)
| ~ directed_relstr(X272)
| empty_carrier(X272)
| ~ net_str(X272,sK407)
| empty_carrier(X270)
| ~ one_sorted_str(sK407)
| function_of_composition(the_carrier(X270),the_carrier(X272),the_carrier(sK407),X273,the_mapping(sK407,X272)) != the_mapping(sK407,X270)
| ~ relation_of2_as_subset(X273,the_carrier(X270),the_carrier(X272))
| ~ quasi_total(X273,the_carrier(X270),the_carrier(X272))
| subnet(X270,sK407,X272)
| related(X270,X271,sK325(X272,X270,X273,X271))
| ~ function(X273) )
| spl578_31 ),
inference(resolution,[],[f6073,f3848]) ).
fof(f7051,plain,
( ~ spl578_60
| spl578_123
| ~ spl578_61
| spl578_31 ),
inference(avatar_split_clause,[],[f6274,f6071,f6750,f7048,f6746]) ).
fof(f6274,plain,
( ~ boolean_relstr(sK407)
| complemented_relstr(sK407)
| ~ rel_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2427]) ).
fof(f2427,plain,
! [X0] :
( ~ boolean_relstr(X0)
| complemented_relstr(X0)
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1699]) ).
fof(f7046,plain,
( ~ spl578_47
| spl578_122
| spl578_31 ),
inference(avatar_split_clause,[],[f6480,f6071,f7044,f6693]) ).
fof(f7044,plain,
( spl578_122
<=> ! [X318,X319] :
( ~ directed_relstr(X318)
| ~ transitive_relstr(X319)
| empty_carrier(X319)
| ~ directed_relstr(X319)
| ~ transitive_relstr(X318)
| relation_of2_as_subset(sK322(sK407,X319,X318),the_carrier(X318),the_carrier(X319))
| ~ subnet(X318,sK407,X319)
| ~ net_str(X319,sK407)
| ~ net_str(X318,sK407)
| empty_carrier(X318) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_122])]) ).
fof(f6480,plain,
( ! [X319,X318] :
( ~ directed_relstr(X318)
| empty_carrier(X318)
| ~ net_str(X318,sK407)
| ~ net_str(X319,sK407)
| ~ subnet(X318,sK407,X319)
| relation_of2_as_subset(sK322(sK407,X319,X318),the_carrier(X318),the_carrier(X319))
| ~ transitive_relstr(X318)
| ~ directed_relstr(X319)
| empty_carrier(X319)
| ~ one_sorted_str(sK407)
| ~ transitive_relstr(X319) )
| spl578_31 ),
inference(resolution,[],[f6073,f3853]) ).
fof(f3853,plain,
! [X2,X0,X1] :
( ~ directed_relstr(X2)
| ~ directed_relstr(X1)
| ~ subnet(X2,X0,X1)
| ~ transitive_relstr(X2)
| empty_carrier(X1)
| empty_carrier(X0)
| ~ net_str(X2,X0)
| ~ transitive_relstr(X1)
| relation_of2_as_subset(sK322(X0,X1,X2),the_carrier(X2),the_carrier(X1))
| empty_carrier(X2)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f1785]) ).
fof(f7042,plain,
( ~ spl578_43
| ~ spl578_45
| ~ spl578_52
| spl578_58
| spl578_31 ),
inference(avatar_split_clause,[],[f6295,f6071,f6737,f6714,f6684,f6676]) ).
fof(f6295,plain,
( meet_absorbing(sK407)
| ~ distributive_lattstr(sK407)
| ~ lattice(sK407)
| ~ latt_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2764]) ).
fof(f2764,plain,
! [X0] :
( empty_carrier(X0)
| ~ lattice(X0)
| ~ distributive_lattstr(X0)
| meet_absorbing(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f2090]) ).
fof(f7041,plain,
( spl578_121
| ~ spl578_45
| ~ spl578_43
| spl578_31 ),
inference(avatar_split_clause,[],[f6450,f6071,f6676,f6684,f7039]) ).
fof(f7039,plain,
( spl578_121
<=> ! [X245] :
( cast_to_el_of_LattPOSet(sK407,X245) = X245
| ~ element(X245,the_carrier(sK407)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_121])]) ).
fof(f6450,plain,
( ! [X245] :
( ~ latt_str(sK407)
| ~ lattice(sK407)
| cast_to_el_of_LattPOSet(sK407,X245) = X245
| ~ element(X245,the_carrier(sK407)) )
| spl578_31 ),
inference(resolution,[],[f6073,f3805]) ).
fof(f3805,plain,
! [X0,X1] :
( empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0)
| ~ element(X1,the_carrier(X0))
| cast_to_el_of_LattPOSet(X0,X1) = X1 ),
inference(cnf_transformation,[],[f1460]) ).
fof(f1460,plain,
! [X0] :
( ~ latt_str(X0)
| ! [X1] :
( ~ element(X1,the_carrier(X0))
| cast_to_el_of_LattPOSet(X0,X1) = X1 )
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f1459]) ).
fof(f1459,plain,
! [X0] :
( ! [X1] :
( ~ element(X1,the_carrier(X0))
| cast_to_el_of_LattPOSet(X0,X1) = X1 )
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f169]) ).
fof(f169,axiom,
! [X0] :
( ( latt_str(X0)
& lattice(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> cast_to_el_of_LattPOSet(X0,X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_lattice3) ).
fof(f7037,plain,
( ~ spl578_47
| spl578_120
| spl578_31 ),
inference(avatar_split_clause,[],[f6420,f6071,f7035,f6693]) ).
fof(f7035,plain,
( spl578_120
<=> ! [X224,X225] :
( ~ net_str(X224,sK407)
| ~ directed_relstr(X224)
| directed_relstr(X225)
| ~ transitive_relstr(X224)
| ~ subnet(X225,sK407,X224)
| empty_carrier(X224) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_120])]) ).
fof(f6420,plain,
( ! [X224,X225] :
( ~ net_str(X224,sK407)
| empty_carrier(X224)
| ~ subnet(X225,sK407,X224)
| ~ transitive_relstr(X224)
| directed_relstr(X225)
| ~ one_sorted_str(sK407)
| ~ directed_relstr(X224) )
| spl578_31 ),
inference(resolution,[],[f6073,f3673]) ).
fof(f7033,plain,
( ~ spl578_60
| ~ spl578_89
| ~ spl578_63
| spl578_66
| spl578_31 ),
inference(avatar_split_clause,[],[f6605,f6071,f6772,f6760,f6879,f6746]) ).
fof(f6605,plain,
( up_complete_relstr(sK407)
| ~ reflexive_relstr(sK407)
| ~ complete_relstr(sK407)
| ~ rel_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4759]) ).
fof(f4759,plain,
! [X0] :
( up_complete_relstr(X0)
| empty_carrier(X0)
| ~ complete_relstr(X0)
| ~ reflexive_relstr(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1987]) ).
fof(f7032,plain,
( ~ spl578_47
| spl578_119
| spl578_31 ),
inference(avatar_split_clause,[],[f6314,f6071,f7030,f6693]) ).
fof(f7030,plain,
( spl578_119
<=> ! [X45,X44,X46] :
( empty_carrier(X44)
| the_mapping(sK407,X46) != partfun_dom_restriction(the_carrier(X44),the_carrier(sK407),the_mapping(sK407,X44),the_carrier(X46))
| ~ element(X45,the_carrier(X44))
| ~ net_str(X46,sK407)
| ~ strict_net_str(X46,sK407)
| ~ net_str(X44,sK407)
| netstr_restr_to_element(sK407,X44,X45) = X46
| the_InternalRel(X46) != relation_restriction_as_relation_of(the_InternalRel(X44),the_carrier(X46))
| in(sK120(X44,X45,X46),the_carrier(X46))
| sK120(X44,X45,X46) = sK121(X44,X45,X46) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_119])]) ).
fof(f6314,plain,
( ! [X46,X44,X45] :
( empty_carrier(X44)
| sK120(X44,X45,X46) = sK121(X44,X45,X46)
| ~ one_sorted_str(sK407)
| in(sK120(X44,X45,X46),the_carrier(X46))
| the_InternalRel(X46) != relation_restriction_as_relation_of(the_InternalRel(X44),the_carrier(X46))
| netstr_restr_to_element(sK407,X44,X45) = X46
| ~ net_str(X44,sK407)
| ~ strict_net_str(X46,sK407)
| ~ net_str(X46,sK407)
| ~ element(X45,the_carrier(X44))
| the_mapping(sK407,X46) != partfun_dom_restriction(the_carrier(X44),the_carrier(sK407),the_mapping(sK407,X44),the_carrier(X46)) )
| spl578_31 ),
inference(resolution,[],[f6073,f2864]) ).
fof(f2864,plain,
! [X2,X3,X0,X1] :
( netstr_restr_to_element(X0,X1,X2) = X3
| ~ net_str(X3,X0)
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| in(sK120(X1,X2,X3),the_carrier(X3))
| ~ strict_net_str(X3,X0)
| sK121(X1,X2,X3) = sK120(X1,X2,X3)
| the_InternalRel(X3) != relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(X3))
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| the_mapping(X0,X3) != partfun_dom_restriction(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X3)) ),
inference(cnf_transformation,[],[f1613]) ).
fof(f7028,plain,
( ~ spl578_64
| ~ spl578_63
| ~ spl578_90
| ~ spl578_67
| ~ spl578_60
| ~ spl578_118
| spl578_73
| spl578_31 ),
inference(avatar_split_clause,[],[f6530,f6071,f6801,f7025,f6746,f6776,f6883,f6760,f6764]) ).
fof(f7025,plain,
( spl578_118
<=> empty(sK364(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_118])]) ).
fof(f6530,plain,
( trivial_carrier(sK407)
| ~ empty(sK364(sK407))
| ~ rel_str(sK407)
| ~ transitive_relstr(sK407)
| ~ upper_bounded_relstr(sK407)
| ~ reflexive_relstr(sK407)
| ~ antisymmetric_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4101]) ).
fof(f4101,plain,
! [X0] :
( ~ rel_str(X0)
| ~ transitive_relstr(X0)
| ~ empty(sK364(X0))
| ~ upper_bounded_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| trivial_carrier(X0)
| ~ antisymmetric_relstr(X0) ),
inference(cnf_transformation,[],[f1340]) ).
fof(f7023,plain,
( ~ spl578_63
| ~ spl578_73
| spl578_117
| ~ spl578_60
| spl578_31 ),
inference(avatar_split_clause,[],[f6458,f6071,f6746,f7020,f6801,f6760]) ).
fof(f6458,plain,
( ~ rel_str(sK407)
| v2_waybel_3(sK407)
| ~ trivial_carrier(sK407)
| ~ reflexive_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3841]) ).
fof(f3841,plain,
! [X0] :
( v2_waybel_3(X0)
| empty_carrier(X0)
| ~ reflexive_relstr(X0)
| ~ trivial_carrier(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f1411]) ).
fof(f1411,plain,
! [X0] :
( ( v2_waybel_3(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| ~ rel_str(X0)
| empty_carrier(X0)
| ~ trivial_carrier(X0)
| ~ reflexive_relstr(X0) ),
inference(flattening,[],[f1410]) ).
fof(f1410,plain,
! [X0] :
( ( v2_waybel_3(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
| empty_carrier(X0)
| ~ reflexive_relstr(X0)
| ~ trivial_carrier(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,axiom,
! [X0] :
( rel_str(X0)
=> ( ( ~ empty_carrier(X0)
& reflexive_relstr(X0)
& trivial_carrier(X0) )
=> ( v2_waybel_3(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc3_waybel_3) ).
fof(f7018,plain,
( ~ spl578_69
| ~ spl578_55
| spl578_116
| spl578_31 ),
inference(avatar_split_clause,[],[f6561,f6071,f7016,f6726,f6785]) ).
fof(f7016,plain,
( spl578_116
<=> ! [X372,X371] :
( ~ element(X371,the_carrier(sK407))
| ~ element(X372,the_carrier(sK407))
| meet_commut(sK407,X372,X371) = meet_commut(sK407,X371,X372) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_116])]) ).
fof(f6561,plain,
( ! [X371,X372] :
( ~ element(X371,the_carrier(sK407))
| meet_commut(sK407,X372,X371) = meet_commut(sK407,X371,X372)
| ~ element(X372,the_carrier(sK407))
| ~ meet_commutative(sK407)
| ~ meet_semilatt_str(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f4318]) ).
fof(f4318,plain,
! [X2,X0,X1] :
( ~ element(X1,the_carrier(X2))
| empty_carrier(X2)
| ~ meet_commutative(X2)
| ~ element(X0,the_carrier(X2))
| ~ meet_semilatt_str(X2)
| meet_commut(X2,X1,X0) = meet_commut(X2,X0,X1) ),
inference(cnf_transformation,[],[f1580]) ).
fof(f1580,plain,
! [X1,X0,X2] :
( empty_carrier(X2)
| ~ meet_semilatt_str(X2)
| ~ element(X0,the_carrier(X2))
| ~ element(X1,the_carrier(X2))
| meet_commut(X2,X1,X0) = meet_commut(X2,X0,X1)
| ~ meet_commutative(X2) ),
inference(flattening,[],[f1579]) ).
fof(f1579,plain,
! [X1,X0,X2] :
( meet_commut(X2,X1,X0) = meet_commut(X2,X0,X1)
| ~ meet_commutative(X2)
| ~ element(X0,the_carrier(X2))
| empty_carrier(X2)
| ~ meet_semilatt_str(X2)
| ~ element(X1,the_carrier(X2)) ),
inference(ennf_transformation,[],[f1096]) ).
fof(f1096,plain,
! [X1,X0,X2] :
( ( meet_commutative(X2)
& element(X0,the_carrier(X2))
& ~ empty_carrier(X2)
& meet_semilatt_str(X2)
& element(X1,the_carrier(X2)) )
=> meet_commut(X2,X1,X0) = meet_commut(X2,X0,X1) ),
inference(rectify,[],[f93]) ).
fof(f93,axiom,
! [X1,X2,X0] :
( ( meet_semilatt_str(X0)
& element(X2,the_carrier(X0))
& ~ empty_carrier(X0)
& element(X1,the_carrier(X0))
& meet_commutative(X0) )
=> meet_commut(X0,X1,X2) = meet_commut(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k4_lattices) ).
fof(f7014,plain,
( ~ spl578_115
| ~ spl578_47
| spl578_31 ),
inference(avatar_split_clause,[],[f6284,f6071,f6693,f7011]) ).
fof(f7011,plain,
( spl578_115
<=> empty(sK43(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_115])]) ).
fof(f6284,plain,
( ~ one_sorted_str(sK407)
| ~ empty(sK43(sK407))
| spl578_31 ),
inference(resolution,[],[f6073,f2453]) ).
fof(f2453,plain,
! [X0] :
( ~ one_sorted_str(X0)
| ~ empty(sK43(X0))
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1764]) ).
fof(f7009,plain,
( ~ spl578_43
| spl578_114
| spl578_31 ),
inference(avatar_split_clause,[],[f6498,f6071,f7007,f6676]) ).
fof(f7007,plain,
( spl578_114
<=> ! [X344,X345] :
( latt_set_smaller(sK407,sK336(X344,sK407,X345),X344)
| ~ in(X345,a_2_2_lattice3(sK407,X344)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_114])]) ).
fof(f6498,plain,
( ! [X345,X344] :
( latt_set_smaller(sK407,sK336(X344,sK407,X345),X344)
| ~ latt_str(sK407)
| ~ in(X345,a_2_2_lattice3(sK407,X344)) )
| spl578_31 ),
inference(resolution,[],[f6073,f3933]) ).
fof(f3933,plain,
! [X2,X0,X1] :
( latt_set_smaller(X1,sK336(X0,X1,X2),X0)
| ~ latt_str(X1)
| ~ in(X2,a_2_2_lattice3(X1,X0))
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f1722]) ).
fof(f7005,plain,
( ~ spl578_60
| ~ spl578_93
| spl578_64
| spl578_31 ),
inference(avatar_split_clause,[],[f6342,f6071,f6764,f6897,f6746]) ).
fof(f6342,plain,
( antisymmetric_relstr(sK407)
| ~ heyting_relstr(sK407)
| ~ rel_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3049]) ).
fof(f3049,plain,
! [X0] :
( empty_carrier(X0)
| antisymmetric_relstr(X0)
| ~ rel_str(X0)
| ~ heyting_relstr(X0) ),
inference(cnf_transformation,[],[f1811]) ).
fof(f7004,plain,
( ~ spl578_43
| ~ spl578_45
| spl578_113
| spl578_31 ),
inference(avatar_split_clause,[],[f6623,f6071,f7001,f6684,f6676]) ).
fof(f7001,plain,
( spl578_113
<=> k2_lattice3(sK407) = relation_of_lattice(sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_113])]) ).
fof(f6623,plain,
( k2_lattice3(sK407) = relation_of_lattice(sK407)
| ~ lattice(sK407)
| ~ latt_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f5042]) ).
fof(f5042,plain,
! [X0] :
( ~ lattice(X0)
| empty_carrier(X0)
| k2_lattice3(X0) = relation_of_lattice(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f1715]) ).
fof(f1715,plain,
! [X0] :
( k2_lattice3(X0) = relation_of_lattice(X0)
| ~ lattice(X0)
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f1714]) ).
fof(f1714,plain,
! [X0] :
( k2_lattice3(X0) = relation_of_lattice(X0)
| ~ lattice(X0)
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f573]) ).
fof(f573,axiom,
! [X0] :
( ( lattice(X0)
& latt_str(X0)
& ~ empty_carrier(X0) )
=> k2_lattice3(X0) = relation_of_lattice(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_lattice3) ).
fof(f6999,plain,
( ~ spl578_43
| spl578_112
| spl578_31 ),
inference(avatar_split_clause,[],[f6328,f6071,f6997,f6676]) ).
fof(f6997,plain,
( spl578_112
<=> ! [X73,X74] :
( ~ element(X73,the_carrier(sK407))
| in(sK127(sK407,X73,X74),X74)
| latt_element_smaller(sK407,X73,X74) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_112])]) ).
fof(f6328,plain,
( ! [X73,X74] :
( ~ element(X73,the_carrier(sK407))
| latt_element_smaller(sK407,X73,X74)
| in(sK127(sK407,X73,X74),X74)
| ~ latt_str(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f2913]) ).
fof(f2913,plain,
! [X2,X0,X1] :
( ~ latt_str(X0)
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| in(sK127(X0,X1,X2),X2)
| latt_element_smaller(X0,X1,X2) ),
inference(cnf_transformation,[],[f1710]) ).
fof(f6995,plain,
( ~ spl578_45
| spl578_111
| ~ spl578_43
| spl578_31 ),
inference(avatar_split_clause,[],[f6620,f6071,f6676,f6992,f6684]) ).
fof(f6992,plain,
( spl578_111
<=> relation_of2_as_subset(k2_lattice3(sK407),the_carrier(sK407),the_carrier(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_111])]) ).
fof(f6620,plain,
( ~ latt_str(sK407)
| relation_of2_as_subset(k2_lattice3(sK407),the_carrier(sK407),the_carrier(sK407))
| ~ lattice(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f5039]) ).
fof(f5039,plain,
! [X0] :
( relation_of2_as_subset(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f2069]) ).
fof(f6990,plain,
( spl578_110
| spl578_31
| ~ spl578_39
| ~ spl578_40 ),
inference(avatar_split_clause,[],[f6985,f6189,f6183,f6071,f6987]) ).
fof(f6987,plain,
( spl578_110
<=> closed_subset(sK345(sK407),sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_110])]) ).
fof(f6985,plain,
( closed_subset(sK345(sK407),sK407)
| spl578_31
| ~ spl578_39
| ~ spl578_40 ),
inference(subsumption_resolution,[],[f6984,f6185]) ).
fof(f6984,plain,
( ~ top_str(sK407)
| closed_subset(sK345(sK407),sK407)
| spl578_31
| ~ spl578_40 ),
inference(subsumption_resolution,[],[f6509,f6191]) ).
fof(f6509,plain,
( closed_subset(sK345(sK407),sK407)
| ~ topological_space(sK407)
| ~ top_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3974]) ).
fof(f3974,plain,
! [X0] :
( ~ topological_space(X0)
| closed_subset(sK345(X0),X0)
| empty_carrier(X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f1854]) ).
fof(f6983,plain,
( ~ spl578_63
| ~ spl578_91
| spl578_59
| ~ spl578_60
| spl578_31 ),
inference(avatar_split_clause,[],[f6338,f6071,f6746,f6742,f6887,f6760]) ).
fof(f6338,plain,
( ~ rel_str(sK407)
| lower_bounded_relstr(sK407)
| ~ join_complete_relstr(sK407)
| ~ reflexive_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2956]) ).
fof(f2956,plain,
! [X0] :
( empty_carrier(X0)
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| lower_bounded_relstr(X0)
| ~ join_complete_relstr(X0) ),
inference(cnf_transformation,[],[f1673]) ).
fof(f1673,plain,
! [X0] :
( ~ rel_str(X0)
| empty_carrier(X0)
| ~ reflexive_relstr(X0)
| ( ~ empty_carrier(X0)
& reflexive_relstr(X0)
& lower_bounded_relstr(X0) )
| ~ join_complete_relstr(X0) ),
inference(flattening,[],[f1672]) ).
fof(f1672,plain,
! [X0] :
( ( ~ empty_carrier(X0)
& reflexive_relstr(X0)
& lower_bounded_relstr(X0) )
| ~ reflexive_relstr(X0)
| ~ join_complete_relstr(X0)
| empty_carrier(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( rel_str(X0)
=> ( ( reflexive_relstr(X0)
& join_complete_relstr(X0)
& ~ empty_carrier(X0) )
=> ( ~ empty_carrier(X0)
& reflexive_relstr(X0)
& lower_bounded_relstr(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc11_waybel_0) ).
fof(f6982,plain,
( ~ spl578_47
| spl578_109
| spl578_31 ),
inference(avatar_split_clause,[],[f6637,f6071,f6980,f6693]) ).
fof(f6980,plain,
( spl578_109
<=> ! [X440,X439,X438] :
( related(X439,X438,sK574(sK407,X439,X440,X438))
| empty_carrier(X439)
| ~ is_often_in(sK407,X439,X440)
| ~ element(X438,the_carrier(X439))
| ~ net_str(X439,sK407) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_109])]) ).
fof(f6637,plain,
( ! [X439,X438,X440] :
( related(X439,X438,sK574(sK407,X439,X440,X438))
| ~ one_sorted_str(sK407)
| ~ net_str(X439,sK407)
| ~ element(X438,the_carrier(X439))
| ~ is_often_in(sK407,X439,X440)
| empty_carrier(X439) )
| spl578_31 ),
inference(resolution,[],[f6073,f5164]) ).
fof(f5164,plain,
! [X2,X3,X0,X1] :
( ~ element(X3,the_carrier(X1))
| related(X1,X3,sK574(X0,X1,X2,X3))
| ~ net_str(X1,X0)
| empty_carrier(X0)
| ~ is_often_in(X0,X1,X2)
| ~ one_sorted_str(X0)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f1456]) ).
fof(f6978,plain,
( spl578_108
| ~ spl578_43
| ~ spl578_45
| spl578_31 ),
inference(avatar_split_clause,[],[f6587,f6071,f6684,f6676,f6976]) ).
fof(f6976,plain,
( spl578_108
<=> ! [X415] :
( element(sK469(sK407,X415),the_carrier(sK407))
| ~ in(X415,a_1_0_filter_1(sK407)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_108])]) ).
fof(f6587,plain,
( ! [X415] :
( ~ lattice(sK407)
| ~ latt_str(sK407)
| element(sK469(sK407,X415),the_carrier(sK407))
| ~ in(X415,a_1_0_filter_1(sK407)) )
| spl578_31 ),
inference(resolution,[],[f6073,f4593]) ).
fof(f4593,plain,
! [X0,X1] :
( element(sK469(X0,X1),the_carrier(X0))
| ~ in(X1,a_1_0_filter_1(X0))
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f1377]) ).
fof(f6974,plain,
( spl578_58
| ~ spl578_43
| spl578_107
| spl578_31 ),
inference(avatar_split_clause,[],[f6271,f6071,f6971,f6676,f6737]) ).
fof(f6971,plain,
( spl578_107
<=> element(sK33(sK407),the_carrier(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_107])]) ).
fof(f6271,plain,
( element(sK33(sK407),the_carrier(sK407))
| ~ latt_str(sK407)
| meet_absorbing(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2379]) ).
fof(f2379,plain,
! [X0] :
( empty_carrier(X0)
| ~ latt_str(X0)
| meet_absorbing(X0)
| element(sK33(X0),the_carrier(X0)) ),
inference(cnf_transformation,[],[f2165]) ).
fof(f6969,plain,
( ~ spl578_43
| ~ spl578_45
| spl578_55
| ~ spl578_44
| spl578_31 ),
inference(avatar_split_clause,[],[f6607,f6071,f6680,f6726,f6684,f6676]) ).
fof(f6607,plain,
( ~ complete_latt_str(sK407)
| meet_commutative(sK407)
| ~ lattice(sK407)
| ~ latt_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4874]) ).
fof(f4874,plain,
! [X0] :
( empty_carrier(X0)
| ~ latt_str(X0)
| meet_commutative(X0)
| ~ lattice(X0)
| ~ complete_latt_str(X0) ),
inference(cnf_transformation,[],[f1247]) ).
fof(f6968,plain,
( ~ spl578_43
| spl578_106
| spl578_31 ),
inference(avatar_split_clause,[],[f6306,f6071,f6966,f6676]) ).
fof(f6966,plain,
( spl578_106
<=> ! [X32,X31] :
( ~ below(sK407,X31,sK109(sK407,X31,X32))
| latt_set_smaller(sK407,X31,X32)
| ~ element(X31,the_carrier(sK407)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_106])]) ).
fof(f6306,plain,
( ! [X31,X32] :
( ~ below(sK407,X31,sK109(sK407,X31,X32))
| ~ latt_str(sK407)
| ~ element(X31,the_carrier(sK407))
| latt_set_smaller(sK407,X31,X32) )
| spl578_31 ),
inference(resolution,[],[f6073,f2804]) ).
fof(f2804,plain,
! [X2,X0,X1] :
( ~ below(X0,X1,sK109(X0,X1,X2))
| empty_carrier(X0)
| latt_set_smaller(X0,X1,X2)
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f2113]) ).
fof(f6964,plain,
( ~ spl578_47
| spl578_105
| spl578_31 ),
inference(avatar_split_clause,[],[f6655,f6071,f6962,f6693]) ).
fof(f6962,plain,
( spl578_105
<=> ! [X484,X483,X482] :
( empty_carrier(X482)
| ~ in(X484,the_carrier(netstr_restr_to_element(sK407,X482,X483)))
| element(sK122(X482,X483,X484),the_carrier(X482))
| ~ element(X483,the_carrier(X482))
| ~ net_str(netstr_restr_to_element(sK407,X482,X483),sK407)
| ~ strict_net_str(netstr_restr_to_element(sK407,X482,X483),sK407)
| ~ net_str(X482,sK407) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_105])]) ).
fof(f6655,plain,
( ! [X484,X483,X482] :
( empty_carrier(X482)
| ~ net_str(X482,sK407)
| ~ strict_net_str(netstr_restr_to_element(sK407,X482,X483),sK407)
| ~ net_str(netstr_restr_to_element(sK407,X482,X483),sK407)
| ~ element(X483,the_carrier(X482))
| ~ one_sorted_str(sK407)
| element(sK122(X482,X483,X484),the_carrier(X482))
| ~ in(X484,the_carrier(netstr_restr_to_element(sK407,X482,X483))) )
| spl578_31 ),
inference(resolution,[],[f6073,f5247]) ).
fof(f5247,plain,
! [X2,X0,X1,X4] :
( ~ net_str(netstr_restr_to_element(X0,X1,X2),X0)
| ~ strict_net_str(netstr_restr_to_element(X0,X1,X2),X0)
| element(sK122(X1,X2,X4),the_carrier(X1))
| ~ in(X4,the_carrier(netstr_restr_to_element(X0,X1,X2)))
| ~ net_str(X1,X0)
| ~ element(X2,the_carrier(X1))
| empty_carrier(X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0) ),
inference(equality_resolution,[],[f2860]) ).
fof(f2860,plain,
! [X2,X3,X0,X1,X4] :
( empty_carrier(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ element(X2,the_carrier(X1))
| ~ net_str(X3,X0)
| ~ strict_net_str(X3,X0)
| element(sK122(X1,X2,X4),the_carrier(X1))
| ~ in(X4,the_carrier(X3))
| netstr_restr_to_element(X0,X1,X2) != X3
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f1613]) ).
fof(f6957,plain,
( ~ spl578_60
| spl578_63
| ~ spl578_93
| spl578_31 ),
inference(avatar_split_clause,[],[f6341,f6071,f6897,f6760,f6746]) ).
fof(f6341,plain,
( ~ heyting_relstr(sK407)
| reflexive_relstr(sK407)
| ~ rel_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3048]) ).
fof(f3048,plain,
! [X0] :
( ~ rel_str(X0)
| reflexive_relstr(X0)
| ~ heyting_relstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1811]) ).
fof(f6954,plain,
( ~ spl578_47
| spl578_104
| spl578_31 ),
inference(avatar_split_clause,[],[f6426,f6071,f6952,f6693]) ).
fof(f6952,plain,
( spl578_104
<=> ! [X230,X231] :
( ~ directed_relstr(X230)
| empty_carrier(X230)
| ~ element(X231,the_carrier(X230))
| ~ net_str(X230,sK407)
| strict_net_str(netstr_restr_to_element(sK407,X230,X231),sK407) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_104])]) ).
fof(f6426,plain,
( ! [X230,X231] :
( ~ directed_relstr(X230)
| strict_net_str(netstr_restr_to_element(sK407,X230,X231),sK407)
| ~ net_str(X230,sK407)
| ~ element(X231,the_carrier(X230))
| ~ one_sorted_str(sK407)
| empty_carrier(X230) )
| spl578_31 ),
inference(resolution,[],[f6073,f3701]) ).
fof(f6950,plain,
( spl578_103
| ~ spl578_43
| spl578_31 ),
inference(avatar_split_clause,[],[f6403,f6071,f6676,f6948]) ).
fof(f6948,plain,
( spl578_103
<=> ! [X190] : element(join_of_latt_set(sK407,X190),the_carrier(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_103])]) ).
fof(f6403,plain,
( ! [X190] :
( ~ latt_str(sK407)
| element(join_of_latt_set(sK407,X190),the_carrier(sK407)) )
| spl578_31 ),
inference(resolution,[],[f6073,f3596]) ).
fof(f3596,plain,
! [X0,X1] :
( ~ latt_str(X0)
| empty_carrier(X0)
| element(join_of_latt_set(X0,X1),the_carrier(X0)) ),
inference(cnf_transformation,[],[f1352]) ).
fof(f1352,plain,
! [X0,X1] :
( element(join_of_latt_set(X0,X1),the_carrier(X0))
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(flattening,[],[f1351]) ).
fof(f1351,plain,
! [X0,X1] :
( element(join_of_latt_set(X0,X1),the_carrier(X0))
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f233]) ).
fof(f233,axiom,
! [X0,X1] :
( ( ~ empty_carrier(X0)
& latt_str(X0) )
=> element(join_of_latt_set(X0,X1),the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k15_lattice3) ).
fof(f6946,plain,
( ~ spl578_55
| ~ spl578_69
| spl578_102
| spl578_31 ),
inference(avatar_split_clause,[],[f6555,f6071,f6944,f6785,f6726]) ).
fof(f6944,plain,
( spl578_102
<=> ! [X369,X370] :
( ~ element(X370,the_carrier(sK407))
| ~ element(X369,the_carrier(sK407))
| element(meet_commut(sK407,X369,X370),the_carrier(sK407)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_102])]) ).
fof(f6555,plain,
( ! [X370,X369] :
( ~ element(X370,the_carrier(sK407))
| ~ meet_semilatt_str(sK407)
| ~ meet_commutative(sK407)
| ~ element(X369,the_carrier(sK407))
| element(meet_commut(sK407,X369,X370),the_carrier(sK407)) )
| spl578_31 ),
inference(resolution,[],[f6073,f4304]) ).
fof(f4304,plain,
! [X2,X0,X1] :
( empty_carrier(X1)
| ~ meet_commutative(X1)
| element(meet_commut(X1,X0,X2),the_carrier(X1))
| ~ meet_semilatt_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X0,the_carrier(X1)) ),
inference(cnf_transformation,[],[f1186]) ).
fof(f1186,plain,
! [X2,X1,X0] :
( empty_carrier(X1)
| ~ meet_semilatt_str(X1)
| element(meet_commut(X1,X0,X2),the_carrier(X1))
| ~ element(X0,the_carrier(X1))
| ~ meet_commutative(X1)
| ~ element(X2,the_carrier(X1)) ),
inference(flattening,[],[f1185]) ).
fof(f1185,plain,
! [X1,X2,X0] :
( element(meet_commut(X1,X0,X2),the_carrier(X1))
| ~ element(X0,the_carrier(X1))
| empty_carrier(X1)
| ~ element(X2,the_carrier(X1))
| ~ meet_semilatt_str(X1)
| ~ meet_commutative(X1) ),
inference(ennf_transformation,[],[f1095]) ).
fof(f1095,plain,
! [X1,X2,X0] :
( ( element(X0,the_carrier(X1))
& ~ empty_carrier(X1)
& element(X2,the_carrier(X1))
& meet_semilatt_str(X1)
& meet_commutative(X1) )
=> element(meet_commut(X1,X0,X2),the_carrier(X1)) ),
inference(rectify,[],[f285]) ).
fof(f285,axiom,
! [X1,X0,X2] :
( ( ~ empty_carrier(X0)
& meet_commutative(X0)
& element(X2,the_carrier(X0))
& meet_semilatt_str(X0)
& element(X1,the_carrier(X0)) )
=> element(meet_commut(X0,X1,X2),the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_lattices) ).
fof(f6942,plain,
( ~ spl578_45
| ~ spl578_43
| spl578_71
| ~ spl578_44
| spl578_31 ),
inference(avatar_split_clause,[],[f6611,f6071,f6680,f6792,f6676,f6684]) ).
fof(f6611,plain,
( ~ complete_latt_str(sK407)
| lower_bounded_semilattstr(sK407)
| ~ latt_str(sK407)
| ~ lattice(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4878]) ).
fof(f4878,plain,
! [X0] :
( ~ lattice(X0)
| ~ complete_latt_str(X0)
| empty_carrier(X0)
| lower_bounded_semilattstr(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f1247]) ).
fof(f6941,plain,
( ~ spl578_60
| ~ spl578_90
| spl578_59
| ~ spl578_91
| ~ spl578_66
| ~ spl578_63
| ~ spl578_67
| ~ spl578_64
| spl578_31 ),
inference(avatar_split_clause,[],[f6432,f6071,f6764,f6776,f6760,f6772,f6887,f6742,f6883,f6746]) ).
fof(f6432,plain,
( ~ antisymmetric_relstr(sK407)
| ~ transitive_relstr(sK407)
| ~ reflexive_relstr(sK407)
| ~ up_complete_relstr(sK407)
| ~ join_complete_relstr(sK407)
| lower_bounded_relstr(sK407)
| ~ upper_bounded_relstr(sK407)
| ~ rel_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3735]) ).
fof(f3735,plain,
! [X0] :
( ~ up_complete_relstr(X0)
| ~ rel_str(X0)
| lower_bounded_relstr(X0)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ join_complete_relstr(X0)
| ~ reflexive_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ upper_bounded_relstr(X0) ),
inference(cnf_transformation,[],[f2179]) ).
fof(f6940,plain,
( ~ spl578_60
| spl578_101
| ~ spl578_63
| spl578_31 ),
inference(avatar_split_clause,[],[f6617,f6071,f6760,f6938,f6746]) ).
fof(f6938,plain,
( spl578_101
<=> ! [X430,X431] :
( ~ element(X431,the_carrier(sK407))
| ~ element(X430,the_carrier(sK407))
| related_reflexive(sK407,X431,X430)
| ~ related(sK407,X431,X430) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_101])]) ).
fof(f6617,plain,
( ! [X431,X430] :
( ~ reflexive_relstr(sK407)
| ~ element(X431,the_carrier(sK407))
| ~ related(sK407,X431,X430)
| ~ rel_str(sK407)
| related_reflexive(sK407,X431,X430)
| ~ element(X430,the_carrier(sK407)) )
| spl578_31 ),
inference(resolution,[],[f6073,f5030]) ).
fof(f5030,plain,
! [X2,X0,X1] :
( empty_carrier(X1)
| ~ element(X0,the_carrier(X1))
| related_reflexive(X1,X2,X0)
| ~ reflexive_relstr(X1)
| ~ related(X1,X2,X0)
| ~ element(X2,the_carrier(X1))
| ~ rel_str(X1) ),
inference(cnf_transformation,[],[f1877]) ).
fof(f6936,plain,
( spl578_100
| ~ spl578_45
| ~ spl578_43
| spl578_31 ),
inference(avatar_split_clause,[],[f6560,f6071,f6676,f6684,f6933]) ).
fof(f6560,plain,
( ~ latt_str(sK407)
| ~ lattice(sK407)
| antisymmetric_relstr(poset_of_lattice(sK407))
| spl578_31 ),
inference(resolution,[],[f6073,f4316]) ).
fof(f4316,plain,
! [X0] :
( ~ latt_str(X0)
| empty_carrier(X0)
| antisymmetric_relstr(poset_of_lattice(X0))
| ~ lattice(X0) ),
inference(cnf_transformation,[],[f1226]) ).
fof(f6931,plain,
( ~ spl578_45
| spl578_99
| ~ spl578_44
| ~ spl578_43
| spl578_31 ),
inference(avatar_split_clause,[],[f6550,f6071,f6676,f6680,f6929,f6684]) ).
fof(f6929,plain,
( spl578_99
<=> ! [X362,X361] :
( ~ element(X361,the_carrier(sK407))
| ~ below(sK407,X361,sK388(sK407,X361,X362))
| join_of_latt_set(sK407,X362) = X361
| ~ latt_element_smaller(sK407,X361,X362) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_99])]) ).
fof(f6550,plain,
( ! [X362,X361] :
( ~ latt_str(sK407)
| ~ complete_latt_str(sK407)
| ~ element(X361,the_carrier(sK407))
| ~ lattice(sK407)
| ~ latt_element_smaller(sK407,X361,X362)
| join_of_latt_set(sK407,X362) = X361
| ~ below(sK407,X361,sK388(sK407,X361,X362)) )
| spl578_31 ),
inference(resolution,[],[f6073,f4200]) ).
fof(f4200,plain,
! [X2,X0,X1] :
( ~ complete_latt_str(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| ~ below(X0,X1,sK388(X0,X1,X2))
| ~ latt_element_smaller(X0,X1,X2)
| ~ lattice(X0)
| join_of_latt_set(X0,X2) = X1 ),
inference(cnf_transformation,[],[f2002]) ).
fof(f6927,plain,
( ~ spl578_53
| spl578_83
| ~ spl578_43
| spl578_31 ),
inference(avatar_split_clause,[],[f6491,f6071,f6676,f6846,f6718]) ).
fof(f6491,plain,
( ~ latt_str(sK407)
| upper_bounded_semilattstr(sK407)
| ~ boolean_lattstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3926]) ).
fof(f3926,plain,
! [X0] :
( ~ boolean_lattstr(X0)
| upper_bounded_semilattstr(X0)
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1588]) ).
fof(f6926,plain,
( ~ spl578_60
| ~ spl578_63
| ~ spl578_66
| ~ spl578_67
| spl578_89
| ~ spl578_68
| ~ spl578_59
| ~ spl578_64
| spl578_31 ),
inference(avatar_split_clause,[],[f6392,f6071,f6764,f6742,f6780,f6879,f6776,f6772,f6760,f6746]) ).
fof(f6392,plain,
( ~ antisymmetric_relstr(sK407)
| ~ lower_bounded_relstr(sK407)
| ~ connected_relstr(sK407)
| complete_relstr(sK407)
| ~ transitive_relstr(sK407)
| ~ up_complete_relstr(sK407)
| ~ reflexive_relstr(sK407)
| ~ rel_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3476]) ).
fof(f3476,plain,
! [X0] :
( ~ antisymmetric_relstr(X0)
| empty_carrier(X0)
| ~ connected_relstr(X0)
| ~ transitive_relstr(X0)
| complete_relstr(X0)
| ~ up_complete_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ rel_str(X0)
| ~ reflexive_relstr(X0) ),
inference(cnf_transformation,[],[f1541]) ).
fof(f6925,plain,
( ~ spl578_67
| ~ spl578_60
| spl578_98
| spl578_31 ),
inference(avatar_split_clause,[],[f6371,f6071,f6923,f6746,f6776]) ).
fof(f6923,plain,
( spl578_98
<=> ! [X125,X124,X126] :
( ~ sP251(X125,X126,sK407,X124)
| in(sK253(X124,sK407),X124)
| in(X125,sK248(X124,sK407,X126))
| ~ element(X124,powerset(the_carrier(sK407)))
| ~ element(X126,powerset(X124))
| ~ finite(X126) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_98])]) ).
fof(f6371,plain,
( ! [X126,X124,X125] :
( ~ sP251(X125,X126,sK407,X124)
| ~ finite(X126)
| ~ element(X126,powerset(X124))
| ~ rel_str(sK407)
| ~ transitive_relstr(sK407)
| ~ element(X124,powerset(the_carrier(sK407)))
| in(X125,sK248(X124,sK407,X126))
| in(sK253(X124,sK407),X124) )
| spl578_31 ),
inference(resolution,[],[f6073,f3436]) ).
fof(f3436,plain,
! [X2,X0,X11,X1] :
( ~ element(X0,powerset(the_carrier(X1)))
| in(X11,sK248(X0,X1,X2))
| ~ transitive_relstr(X1)
| ~ sP251(X11,X2,X1,X0)
| in(sK253(X0,X1),X0)
| empty_carrier(X1)
| ~ element(X2,powerset(X0))
| ~ rel_str(X1)
| ~ finite(X2) ),
inference(cnf_transformation,[],[f1999]) ).
fof(f6921,plain,
( ~ spl578_45
| ~ spl578_43
| spl578_97
| spl578_31 ),
inference(avatar_split_clause,[],[f6456,f6071,f6918,f6676,f6684]) ).
fof(f6456,plain,
( with_infima_relstr(poset_of_lattice(sK407))
| ~ latt_str(sK407)
| ~ lattice(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3823]) ).
fof(f3823,plain,
! [X0] :
( empty_carrier(X0)
| with_infima_relstr(poset_of_lattice(X0))
| ~ latt_str(X0)
| ~ lattice(X0) ),
inference(cnf_transformation,[],[f2071]) ).
fof(f6916,plain,
( spl578_74
| ~ spl578_60
| spl578_96
| spl578_31 ),
inference(avatar_split_clause,[],[f6436,f6071,f6914,f6746,f6806]) ).
fof(f6914,plain,
( spl578_96
<=> ! [X238] :
( ~ related(sK407,sK311(sK407),X238)
| ~ related(sK407,sK312(sK407),X238)
| ~ element(X238,the_carrier(sK407)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_96])]) ).
fof(f6436,plain,
( ! [X238] :
( ~ related(sK407,sK311(sK407),X238)
| ~ rel_str(sK407)
| ~ element(X238,the_carrier(sK407))
| ~ related(sK407,sK312(sK407),X238)
| directed_relstr(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f3773]) ).
fof(f3773,plain,
! [X3,X0] :
( directed_relstr(X0)
| ~ related(X0,sK312(X0),X3)
| ~ rel_str(X0)
| empty_carrier(X0)
| ~ related(X0,sK311(X0),X3)
| ~ element(X3,the_carrier(X0)) ),
inference(cnf_transformation,[],[f1817]) ).
fof(f6912,plain,
( ~ spl578_60
| ~ spl578_64
| ~ spl578_90
| spl578_73
| ~ spl578_63
| ~ spl578_67
| spl578_95
| spl578_31 ),
inference(avatar_split_clause,[],[f6531,f6071,f6909,f6776,f6760,f6801,f6883,f6764,f6746]) ).
fof(f6909,plain,
( spl578_95
<=> filtered_subset(sK364(sK407),sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_95])]) ).
fof(f6531,plain,
( filtered_subset(sK364(sK407),sK407)
| ~ transitive_relstr(sK407)
| ~ reflexive_relstr(sK407)
| trivial_carrier(sK407)
| ~ upper_bounded_relstr(sK407)
| ~ antisymmetric_relstr(sK407)
| ~ rel_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4102]) ).
fof(f4102,plain,
! [X0] :
( ~ antisymmetric_relstr(X0)
| ~ rel_str(X0)
| filtered_subset(sK364(X0),X0)
| ~ upper_bounded_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| trivial_carrier(X0)
| ~ reflexive_relstr(X0) ),
inference(cnf_transformation,[],[f1340]) ).
fof(f6907,plain,
( spl578_57
| ~ spl578_45
| ~ spl578_43
| ~ spl578_44
| spl578_31 ),
inference(avatar_split_clause,[],[f6613,f6071,f6680,f6676,f6684,f6733]) ).
fof(f6613,plain,
( ~ complete_latt_str(sK407)
| ~ latt_str(sK407)
| ~ lattice(sK407)
| join_absorbing(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4880]) ).
fof(f4880,plain,
! [X0] :
( ~ lattice(X0)
| empty_carrier(X0)
| join_absorbing(X0)
| ~ latt_str(X0)
| ~ complete_latt_str(X0) ),
inference(cnf_transformation,[],[f1247]) ).
fof(f6904,plain,
( ~ spl578_93
| ~ spl578_60
| spl578_94
| spl578_31 ),
inference(avatar_split_clause,[],[f6343,f6071,f6901,f6746,f6897]) ).
fof(f6343,plain,
( with_suprema_relstr(sK407)
| ~ rel_str(sK407)
| ~ heyting_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3050]) ).
fof(f3050,plain,
! [X0] :
( with_suprema_relstr(X0)
| ~ heyting_relstr(X0)
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1811]) ).
fof(f6895,plain,
( ~ spl578_43
| spl578_92
| spl578_58
| spl578_31 ),
inference(avatar_split_clause,[],[f6270,f6071,f6737,f6892,f6676]) ).
fof(f6892,plain,
( spl578_92
<=> element(sK34(sK407),the_carrier(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_92])]) ).
fof(f6270,plain,
( meet_absorbing(sK407)
| element(sK34(sK407),the_carrier(sK407))
| ~ latt_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2378]) ).
fof(f2378,plain,
! [X0] :
( ~ latt_str(X0)
| meet_absorbing(X0)
| element(sK34(X0),the_carrier(X0))
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f2165]) ).
fof(f6890,plain,
( spl578_89
| ~ spl578_64
| ~ spl578_67
| ~ spl578_90
| ~ spl578_63
| ~ spl578_66
| ~ spl578_60
| ~ spl578_91
| spl578_31 ),
inference(avatar_split_clause,[],[f6429,f6071,f6887,f6746,f6772,f6760,f6883,f6776,f6764,f6879]) ).
fof(f6429,plain,
( ~ join_complete_relstr(sK407)
| ~ rel_str(sK407)
| ~ up_complete_relstr(sK407)
| ~ reflexive_relstr(sK407)
| ~ upper_bounded_relstr(sK407)
| ~ transitive_relstr(sK407)
| ~ antisymmetric_relstr(sK407)
| complete_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3732]) ).
fof(f3732,plain,
! [X0] :
( complete_relstr(X0)
| ~ rel_str(X0)
| ~ join_complete_relstr(X0)
| ~ upper_bounded_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ up_complete_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0)
| ~ transitive_relstr(X0) ),
inference(cnf_transformation,[],[f2179]) ).
fof(f6877,plain,
( ~ spl578_67
| ~ spl578_74
| spl578_88
| spl578_31
| ~ spl578_32 ),
inference(avatar_split_clause,[],[f6873,f6085,f6071,f6875,f6806,f6776]) ).
fof(f6875,plain,
( spl578_88
<=> ! [X384] :
( ~ top_str(X384)
| ~ topological_space(X384)
| empty_carrier(X384)
| ~ net_str(sK407,X384) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_88])]) ).
fof(f6085,plain,
( spl578_32
<=> ! [X1,X3] :
( ~ top_str(X1)
| ~ element(X3,powerset(the_carrier(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_32])]) ).
fof(f6873,plain,
( ! [X384] :
( ~ top_str(X384)
| ~ net_str(sK407,X384)
| empty_carrier(X384)
| ~ directed_relstr(sK407)
| ~ topological_space(X384)
| ~ transitive_relstr(sK407) )
| spl578_31
| ~ spl578_32 ),
inference(subsumption_resolution,[],[f6573,f6086]) ).
fof(f6086,plain,
( ! [X3,X1] :
( ~ element(X3,powerset(the_carrier(X1)))
| ~ top_str(X1) )
| ~ spl578_32 ),
inference(avatar_component_clause,[],[f6085]) ).
fof(f6573,plain,
( ! [X384] :
( element(lim_points_of_net(X384,sK407),powerset(the_carrier(X384)))
| ~ transitive_relstr(sK407)
| ~ net_str(sK407,X384)
| empty_carrier(X384)
| ~ top_str(X384)
| ~ directed_relstr(sK407)
| ~ topological_space(X384) )
| spl578_31 ),
inference(resolution,[],[f6073,f4449]) ).
fof(f4449,plain,
! [X0,X1] :
( ~ directed_relstr(X0)
| element(lim_points_of_net(X1,X0),powerset(the_carrier(X1)))
| ~ topological_space(X1)
| ~ net_str(X0,X1)
| empty_carrier(X1)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| ~ top_str(X1) ),
inference(cnf_transformation,[],[f1394]) ).
fof(f1394,plain,
! [X0,X1] :
( ~ net_str(X0,X1)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ topological_space(X1)
| ~ directed_relstr(X0)
| empty_carrier(X1)
| ~ top_str(X1)
| element(lim_points_of_net(X1,X0),powerset(the_carrier(X1))) ),
inference(flattening,[],[f1393]) ).
fof(f1393,plain,
! [X1,X0] :
( element(lim_points_of_net(X1,X0),powerset(the_carrier(X1)))
| ~ net_str(X0,X1)
| empty_carrier(X1)
| ~ transitive_relstr(X0)
| ~ topological_space(X1)
| empty_carrier(X0)
| ~ top_str(X1)
| ~ directed_relstr(X0) ),
inference(ennf_transformation,[],[f1112]) ).
fof(f1112,plain,
! [X1,X0] :
( ( net_str(X0,X1)
& ~ empty_carrier(X1)
& transitive_relstr(X0)
& topological_space(X1)
& ~ empty_carrier(X0)
& top_str(X1)
& directed_relstr(X0) )
=> element(lim_points_of_net(X1,X0),powerset(the_carrier(X1))) ),
inference(rectify,[],[f232]) ).
fof(f232,axiom,
! [X1,X0] :
( ( top_str(X0)
& net_str(X1,X0)
& topological_space(X0)
& transitive_relstr(X1)
& ~ empty_carrier(X0)
& directed_relstr(X1)
& ~ empty_carrier(X1) )
=> element(lim_points_of_net(X0,X1),powerset(the_carrier(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_yellow_6) ).
fof(f6872,plain,
( ~ spl578_47
| spl578_87
| spl578_31 ),
inference(avatar_split_clause,[],[f6657,f6071,f6870,f6693]) ).
fof(f6870,plain,
( spl578_87
<=> ! [X488,X490,X489] :
( ~ in(X490,the_carrier(netstr_restr_to_element(sK407,X489,X488)))
| ~ net_str(netstr_restr_to_element(sK407,X489,X488),sK407)
| ~ element(X488,the_carrier(X489))
| sK122(X489,X488,X490) = X490
| ~ net_str(X489,sK407)
| empty_carrier(X489)
| ~ strict_net_str(netstr_restr_to_element(sK407,X489,X488),sK407) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_87])]) ).
fof(f6657,plain,
( ! [X490,X489,X488] :
( ~ in(X490,the_carrier(netstr_restr_to_element(sK407,X489,X488)))
| ~ strict_net_str(netstr_restr_to_element(sK407,X489,X488),sK407)
| empty_carrier(X489)
| ~ net_str(X489,sK407)
| ~ one_sorted_str(sK407)
| sK122(X489,X488,X490) = X490
| ~ element(X488,the_carrier(X489))
| ~ net_str(netstr_restr_to_element(sK407,X489,X488),sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f5248]) ).
fof(f5248,plain,
! [X2,X0,X1,X4] :
( ~ element(X2,the_carrier(X1))
| ~ in(X4,the_carrier(netstr_restr_to_element(X0,X1,X2)))
| empty_carrier(X0)
| empty_carrier(X1)
| ~ net_str(netstr_restr_to_element(X0,X1,X2),X0)
| sK122(X1,X2,X4) = X4
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0)
| ~ strict_net_str(netstr_restr_to_element(X0,X1,X2),X0) ),
inference(equality_resolution,[],[f2859]) ).
fof(f2859,plain,
! [X2,X3,X0,X1,X4] :
( empty_carrier(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ element(X2,the_carrier(X1))
| ~ net_str(X3,X0)
| ~ strict_net_str(X3,X0)
| sK122(X1,X2,X4) = X4
| ~ in(X4,the_carrier(X3))
| netstr_restr_to_element(X0,X1,X2) != X3
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f1613]) ).
fof(f6866,plain,
( ~ spl578_43
| spl578_82
| ~ spl578_53
| spl578_31 ),
inference(avatar_split_clause,[],[f6492,f6071,f6718,f6842,f6676]) ).
fof(f6492,plain,
( ~ boolean_lattstr(sK407)
| bounded_lattstr(sK407)
| ~ latt_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3927]) ).
fof(f3927,plain,
! [X0] :
( empty_carrier(X0)
| bounded_lattstr(X0)
| ~ boolean_lattstr(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f1588]) ).
fof(f6862,plain,
( ~ spl578_67
| ~ spl578_74
| spl578_86
| spl578_31 ),
inference(avatar_split_clause,[],[f6472,f6071,f6860,f6806,f6776]) ).
fof(f6860,plain,
( spl578_86
<=> ! [X299,X298,X297] :
( ~ subnet(X297,X298,sK407)
| ~ element(X299,the_carrier(sK407))
| element(sK324(X298,sK407,X297,X299),the_carrier(X297))
| ~ net_str(X297,X298)
| ~ transitive_relstr(X297)
| empty_carrier(X297)
| ~ one_sorted_str(X298)
| empty_carrier(X298)
| ~ directed_relstr(X297)
| ~ net_str(sK407,X298) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_86])]) ).
fof(f6472,plain,
( ! [X299,X298,X297] :
( ~ subnet(X297,X298,sK407)
| ~ net_str(sK407,X298)
| ~ directed_relstr(sK407)
| ~ directed_relstr(X297)
| empty_carrier(X298)
| ~ transitive_relstr(sK407)
| ~ one_sorted_str(X298)
| empty_carrier(X297)
| ~ transitive_relstr(X297)
| ~ net_str(X297,X298)
| element(sK324(X298,sK407,X297,X299),the_carrier(X297))
| ~ element(X299,the_carrier(sK407)) )
| spl578_31 ),
inference(resolution,[],[f6073,f3850]) ).
fof(f6858,plain,
( ~ spl578_63
| ~ spl578_60
| ~ spl578_85
| spl578_31 ),
inference(avatar_split_clause,[],[f6596,f6071,f6855,f6746,f6760]) ).
fof(f6855,plain,
( spl578_85
<=> empty(sK491(sK407)) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_85])]) ).
fof(f6596,plain,
( ~ empty(sK491(sK407))
| ~ rel_str(sK407)
| ~ reflexive_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4700]) ).
fof(f4700,plain,
! [X0] :
( ~ reflexive_relstr(X0)
| ~ empty(sK491(X0))
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1920]) ).
fof(f6853,plain,
( ~ spl578_60
| ~ spl578_67
| spl578_84
| spl578_31 ),
inference(avatar_split_clause,[],[f6374,f6071,f6851,f6776,f6746]) ).
fof(f6851,plain,
( spl578_84
<=> ! [X134,X133,X135] :
( ~ in(X134,sK248(X133,sK407,X135))
| ~ element(X133,powerset(the_carrier(sK407)))
| sP251(X134,X135,sK407,X133)
| ~ finite(X135)
| ~ element(X135,powerset(X133))
| in(sK253(X133,sK407),X133) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_84])]) ).
fof(f6374,plain,
( ! [X133,X134,X135] :
( ~ in(X134,sK248(X133,sK407,X135))
| in(sK253(X133,sK407),X133)
| ~ element(X135,powerset(X133))
| ~ transitive_relstr(sK407)
| ~ finite(X135)
| sP251(X134,X135,sK407,X133)
| ~ rel_str(sK407)
| ~ element(X133,powerset(the_carrier(sK407))) )
| spl578_31 ),
inference(resolution,[],[f6073,f3439]) ).
fof(f3439,plain,
! [X2,X0,X11,X1] :
( ~ element(X0,powerset(the_carrier(X1)))
| ~ in(X11,sK248(X0,X1,X2))
| ~ finite(X2)
| ~ transitive_relstr(X1)
| sP251(X11,X2,X1,X0)
| empty_carrier(X1)
| in(sK253(X0,X1),X0)
| ~ element(X2,powerset(X0))
| ~ rel_str(X1) ),
inference(cnf_transformation,[],[f1999]) ).
fof(f6849,plain,
( ~ spl578_43
| ~ spl578_82
| spl578_83
| spl578_31 ),
inference(avatar_split_clause,[],[f6255,f6071,f6846,f6842,f6676]) ).
fof(f6255,plain,
( upper_bounded_semilattstr(sK407)
| ~ bounded_lattstr(sK407)
| ~ latt_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2249]) ).
fof(f2249,plain,
! [X0] :
( upper_bounded_semilattstr(X0)
| ~ bounded_lattstr(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f1813]) ).
fof(f6840,plain,
( ~ spl578_67
| ~ spl578_74
| spl578_81
| spl578_31 ),
inference(avatar_split_clause,[],[f6481,f6071,f6838,f6806,f6776]) ).
fof(f6838,plain,
( spl578_81
<=> ! [X321,X320] :
( ~ one_sorted_str(X321)
| ~ transitive_relstr(X320)
| empty_carrier(X321)
| relation_of2_as_subset(sK322(X321,sK407,X320),the_carrier(X320),the_carrier(sK407))
| empty_carrier(X320)
| ~ net_str(X320,X321)
| ~ net_str(sK407,X321)
| ~ directed_relstr(X320)
| ~ subnet(X320,X321,sK407) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_81])]) ).
fof(f6481,plain,
( ! [X321,X320] :
( ~ one_sorted_str(X321)
| ~ directed_relstr(X320)
| ~ net_str(sK407,X321)
| ~ subnet(X320,X321,sK407)
| ~ net_str(X320,X321)
| ~ directed_relstr(sK407)
| empty_carrier(X320)
| relation_of2_as_subset(sK322(X321,sK407,X320),the_carrier(X320),the_carrier(sK407))
| empty_carrier(X321)
| ~ transitive_relstr(sK407)
| ~ transitive_relstr(X320) )
| spl578_31 ),
inference(resolution,[],[f6073,f3853]) ).
fof(f6836,plain,
( ~ spl578_60
| ~ spl578_63
| spl578_80
| ~ spl578_67
| spl578_31 ),
inference(avatar_split_clause,[],[f6264,f6071,f6776,f6833,f6760,f6746]) ).
fof(f6833,plain,
( spl578_80
<=> upper_relstr_subset(sK32(sK407),sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_80])]) ).
fof(f6264,plain,
( ~ transitive_relstr(sK407)
| upper_relstr_subset(sK32(sK407),sK407)
| ~ reflexive_relstr(sK407)
| ~ rel_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2369]) ).
fof(f2369,plain,
! [X0] :
( ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| ~ rel_str(X0)
| empty_carrier(X0)
| upper_relstr_subset(sK32(X0),X0) ),
inference(cnf_transformation,[],[f1995]) ).
fof(f6831,plain,
( ~ spl578_60
| ~ spl578_63
| ~ spl578_67
| spl578_79
| spl578_31 ),
inference(avatar_split_clause,[],[f6260,f6071,f6828,f6776,f6760,f6746]) ).
fof(f6828,plain,
( spl578_79
<=> element(sK16(sK407),powerset(the_carrier(sK407))) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_79])]) ).
fof(f6260,plain,
( element(sK16(sK407),powerset(the_carrier(sK407)))
| ~ transitive_relstr(sK407)
| ~ reflexive_relstr(sK407)
| ~ rel_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2282]) ).
fof(f2282,plain,
! [X0] :
( ~ reflexive_relstr(X0)
| ~ transitive_relstr(X0)
| element(sK16(X0),powerset(the_carrier(X0)))
| ~ rel_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1594]) ).
fof(f6826,plain,
( spl578_78
| ~ spl578_60
| spl578_31 ),
inference(avatar_split_clause,[],[f6501,f6071,f6746,f6823]) ).
fof(f6823,plain,
( spl578_78
<=> upper_relstr_subset(sK343(sK407),sK407) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_78])]) ).
fof(f6501,plain,
( ~ rel_str(sK407)
| upper_relstr_subset(sK343(sK407),sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3961]) ).
fof(f3961,plain,
! [X0] :
( ~ rel_str(X0)
| empty_carrier(X0)
| upper_relstr_subset(sK343(X0),X0) ),
inference(cnf_transformation,[],[f1525]) ).
fof(f6821,plain,
( spl578_77
| ~ spl578_43
| ~ spl578_45
| spl578_31 ),
inference(avatar_split_clause,[],[f6364,f6071,f6684,f6676,f6819]) ).
fof(f6819,plain,
( spl578_77
<=> ! [X110] :
( ~ element(X110,the_carrier(poset_of_lattice(sK407)))
| element(cast_to_el_of_lattice(sK407,X110),the_carrier(sK407)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_77])]) ).
fof(f6364,plain,
( ! [X110] :
( ~ lattice(sK407)
| ~ latt_str(sK407)
| ~ element(X110,the_carrier(poset_of_lattice(sK407)))
| element(cast_to_el_of_lattice(sK407,X110),the_carrier(sK407)) )
| spl578_31 ),
inference(resolution,[],[f6073,f3221]) ).
fof(f3221,plain,
! [X0,X1] :
( ~ lattice(X0)
| element(cast_to_el_of_lattice(X0,X1),the_carrier(X0))
| ~ element(X1,the_carrier(poset_of_lattice(X0)))
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f2133]) ).
fof(f2133,plain,
! [X0,X1] :
( empty_carrier(X0)
| ~ element(X1,the_carrier(poset_of_lattice(X0)))
| ~ latt_str(X0)
| ~ lattice(X0)
| element(cast_to_el_of_lattice(X0,X1),the_carrier(X0)) ),
inference(flattening,[],[f2132]) ).
fof(f2132,plain,
! [X0,X1] :
( element(cast_to_el_of_lattice(X0,X1),the_carrier(X0))
| ~ lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0)
| ~ element(X1,the_carrier(poset_of_lattice(X0))) ),
inference(ennf_transformation,[],[f291]) ).
fof(f291,axiom,
! [X0,X1] :
( ( lattice(X0)
& ~ empty_carrier(X0)
& latt_str(X0)
& element(X1,the_carrier(poset_of_lattice(X0))) )
=> element(cast_to_el_of_lattice(X0,X1),the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_lattice3) ).
fof(f6817,plain,
( ~ spl578_43
| spl578_49
| ~ spl578_45
| spl578_31 ),
inference(avatar_split_clause,[],[f6515,f6071,f6684,f6701,f6676]) ).
fof(f6515,plain,
( ~ lattice(sK407)
| meet_associative(sK407)
| ~ latt_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4014]) ).
fof(f4014,plain,
! [X0] :
( meet_associative(X0)
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f1477]) ).
fof(f6816,plain,
( ~ spl578_43
| spl578_76
| spl578_31 ),
inference(avatar_split_clause,[],[f6305,f6071,f6814,f6676]) ).
fof(f6814,plain,
( spl578_76
<=> ! [X29,X30] :
( in(sK109(sK407,X29,X30),X30)
| ~ element(X29,the_carrier(sK407))
| latt_set_smaller(sK407,X29,X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_76])]) ).
fof(f6305,plain,
( ! [X29,X30] :
( in(sK109(sK407,X29,X30),X30)
| latt_set_smaller(sK407,X29,X30)
| ~ latt_str(sK407)
| ~ element(X29,the_carrier(sK407)) )
| spl578_31 ),
inference(resolution,[],[f6073,f2803]) ).
fof(f2803,plain,
! [X2,X0,X1] :
( in(sK109(X0,X1,X2),X2)
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| latt_set_smaller(X0,X1,X2)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f2113]) ).
fof(f6812,plain,
( ~ spl578_74
| spl578_75
| ~ spl578_67
| spl578_31 ),
inference(avatar_split_clause,[],[f6461,f6071,f6776,f6810,f6806]) ).
fof(f6810,plain,
( spl578_75
<=> ! [X254,X257,X255,X256] :
( ~ relation_of2_as_subset(X256,the_carrier(sK407),the_carrier(X254))
| ~ transitive_relstr(X254)
| ~ directed_relstr(X254)
| element(sK325(X254,sK407,X256,X257),the_carrier(sK407))
| ~ function(X256)
| ~ one_sorted_str(X255)
| ~ net_str(sK407,X255)
| ~ quasi_total(X256,the_carrier(sK407),the_carrier(X254))
| empty_carrier(X255)
| empty_carrier(X254)
| the_mapping(X255,sK407) != function_of_composition(the_carrier(sK407),the_carrier(X254),the_carrier(X255),X256,the_mapping(X255,X254))
| ~ net_str(X254,X255)
| ~ element(X257,the_carrier(sK407))
| subnet(sK407,X255,X254) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_75])]) ).
fof(f6461,plain,
( ! [X254,X257,X256,X255] :
( ~ transitive_relstr(sK407)
| ~ relation_of2_as_subset(X256,the_carrier(sK407),the_carrier(X254))
| subnet(sK407,X255,X254)
| ~ element(X257,the_carrier(sK407))
| ~ directed_relstr(sK407)
| ~ net_str(X254,X255)
| the_mapping(X255,sK407) != function_of_composition(the_carrier(sK407),the_carrier(X254),the_carrier(X255),X256,the_mapping(X255,X254))
| empty_carrier(X254)
| empty_carrier(X255)
| ~ quasi_total(X256,the_carrier(sK407),the_carrier(X254))
| ~ net_str(sK407,X255)
| ~ one_sorted_str(X255)
| ~ function(X256)
| element(sK325(X254,sK407,X256,X257),the_carrier(sK407))
| ~ directed_relstr(X254)
| ~ transitive_relstr(X254) )
| spl578_31 ),
inference(resolution,[],[f6073,f3846]) ).
fof(f6804,plain,
( ~ spl578_73
| ~ spl578_60
| spl578_67
| ~ spl578_63
| spl578_31 ),
inference(avatar_split_clause,[],[f6331,f6071,f6760,f6776,f6746,f6801]) ).
fof(f6331,plain,
( ~ reflexive_relstr(sK407)
| transitive_relstr(sK407)
| ~ rel_str(sK407)
| ~ trivial_carrier(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2922]) ).
fof(f2922,plain,
! [X0] :
( ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| transitive_relstr(X0)
| ~ trivial_carrier(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1823]) ).
fof(f6799,plain,
( ~ spl578_68
| ~ spl578_60
| spl578_72
| spl578_31 ),
inference(avatar_split_clause,[],[f6518,f6071,f6797,f6746,f6780]) ).
fof(f6797,plain,
( spl578_72
<=> ! [X347] :
( ~ element(X347,powerset(the_carrier(sK407)))
| filtered_subset(X347,sK407) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_72])]) ).
fof(f6518,plain,
( ! [X347] :
( ~ element(X347,powerset(the_carrier(sK407)))
| ~ rel_str(sK407)
| ~ connected_relstr(sK407)
| filtered_subset(X347,sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f4027]) ).
fof(f4027,plain,
! [X0,X1] :
( filtered_subset(X1,X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ rel_str(X0)
| ~ connected_relstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1891]) ).
fof(f6795,plain,
( ~ spl578_69
| spl578_70
| ~ spl578_71
| spl578_31 ),
inference(avatar_split_clause,[],[f6591,f6071,f6792,f6789,f6785]) ).
fof(f6789,plain,
( spl578_70
<=> ! [X419] :
( meet(sK407,sK481(sK407),X419) = sK481(sK407)
| ~ element(X419,the_carrier(sK407)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_70])]) ).
fof(f6591,plain,
( ! [X419] :
( ~ lower_bounded_semilattstr(sK407)
| meet(sK407,sK481(sK407),X419) = sK481(sK407)
| ~ element(X419,the_carrier(sK407))
| ~ meet_semilatt_str(sK407) )
| spl578_31 ),
inference(resolution,[],[f6073,f4651]) ).
fof(f4651,plain,
! [X2,X0] :
( empty_carrier(X0)
| meet(X0,sK481(X0),X2) = sK481(X0)
| ~ lower_bounded_semilattstr(X0)
| ~ element(X2,the_carrier(X0))
| ~ meet_semilatt_str(X0) ),
inference(cnf_transformation,[],[f1704]) ).
fof(f6783,plain,
( ~ spl578_59
| ~ spl578_63
| ~ spl578_64
| ~ spl578_60
| spl578_65
| ~ spl578_66
| ~ spl578_67
| ~ spl578_68
| spl578_31 ),
inference(avatar_split_clause,[],[f6397,f6071,f6780,f6776,f6772,f6768,f6746,f6764,f6760,f6742]) ).
fof(f6397,plain,
( ~ connected_relstr(sK407)
| ~ transitive_relstr(sK407)
| ~ up_complete_relstr(sK407)
| bounded_relstr(sK407)
| ~ rel_str(sK407)
| ~ antisymmetric_relstr(sK407)
| ~ reflexive_relstr(sK407)
| ~ lower_bounded_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3481]) ).
fof(f3481,plain,
! [X0] :
( bounded_relstr(X0)
| ~ reflexive_relstr(X0)
| ~ up_complete_relstr(X0)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ rel_str(X0)
| ~ connected_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ lower_bounded_relstr(X0) ),
inference(cnf_transformation,[],[f1541]) ).
fof(f6758,plain,
( spl578_62
| ~ spl578_43
| ~ spl578_45
| spl578_31 ),
inference(avatar_split_clause,[],[f6455,f6071,f6684,f6676,f6755]) ).
fof(f6455,plain,
( ~ lattice(sK407)
| ~ latt_str(sK407)
| transitive_relstr(poset_of_lattice(sK407))
| spl578_31 ),
inference(resolution,[],[f6073,f3822]) ).
fof(f3822,plain,
! [X0] :
( transitive_relstr(poset_of_lattice(X0))
| ~ lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f2071]) ).
fof(f6753,plain,
( spl578_59
| ~ spl578_60
| ~ spl578_61
| spl578_31 ),
inference(avatar_split_clause,[],[f6275,f6071,f6750,f6746,f6742]) ).
fof(f6275,plain,
( ~ boolean_relstr(sK407)
| ~ rel_str(sK407)
| lower_bounded_relstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f2428]) ).
fof(f2428,plain,
! [X0] :
( lower_bounded_relstr(X0)
| ~ rel_str(X0)
| ~ boolean_relstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1699]) ).
fof(f6740,plain,
( spl578_54
| ~ spl578_55
| spl578_56
| ~ spl578_57
| ~ spl578_58
| ~ spl578_43
| spl578_31 ),
inference(avatar_split_clause,[],[f6551,f6071,f6676,f6737,f6733,f6730,f6726,f6723]) ).
fof(f6723,plain,
( spl578_54
<=> ! [X364] :
( ~ element(X364,the_carrier(sK407))
| below_refl(sK407,X364,X364) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_54])]) ).
fof(f6551,plain,
( ! [X363,X364] :
( ~ latt_str(sK407)
| ~ meet_absorbing(sK407)
| ~ join_absorbing(sK407)
| ~ element(X363,the_carrier(sK407))
| ~ meet_commutative(sK407)
| ~ element(X364,the_carrier(sK407))
| below_refl(sK407,X364,X364) )
| spl578_31 ),
inference(resolution,[],[f6073,f4241]) ).
fof(f4241,plain,
! [X2,X0,X1] :
( ~ join_absorbing(X0)
| ~ meet_absorbing(X0)
| ~ element(X2,the_carrier(X0))
| below_refl(X0,X1,X1)
| ~ meet_commutative(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f1560]) ).
fof(f1560,plain,
! [X0,X1,X2] :
( ~ meet_commutative(X0)
| empty_carrier(X0)
| ~ meet_absorbing(X0)
| ~ latt_str(X0)
| ~ join_absorbing(X0)
| below_refl(X0,X1,X1)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(flattening,[],[f1559]) ).
fof(f1559,plain,
! [X0,X2,X1] :
( below_refl(X0,X1,X1)
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ element(X2,the_carrier(X0))
| ~ latt_str(X0)
| ~ meet_absorbing(X0)
| ~ join_absorbing(X0) ),
inference(ennf_transformation,[],[f600]) ).
fof(f600,axiom,
! [X0,X2,X1] :
( ( element(X1,the_carrier(X0))
& ~ empty_carrier(X0)
& meet_commutative(X0)
& element(X2,the_carrier(X0))
& latt_str(X0)
& meet_absorbing(X0)
& join_absorbing(X0) )
=> below_refl(X0,X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r3_lattices) ).
fof(f6721,plain,
( spl578_52
| ~ spl578_53
| ~ spl578_43
| spl578_31 ),
inference(avatar_split_clause,[],[f6493,f6071,f6676,f6718,f6714]) ).
fof(f6493,plain,
( ~ latt_str(sK407)
| ~ boolean_lattstr(sK407)
| distributive_lattstr(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f3928]) ).
fof(f3928,plain,
! [X0] :
( ~ latt_str(X0)
| empty_carrier(X0)
| distributive_lattstr(X0)
| ~ boolean_lattstr(X0) ),
inference(cnf_transformation,[],[f1588]) ).
fof(f6712,plain,
( ~ spl578_47
| spl578_51
| spl578_31 ),
inference(avatar_split_clause,[],[f6581,f6071,f6710,f6693]) ).
fof(f6710,plain,
( spl578_51
<=> ! [X404,X406,X405] :
( ~ is_eventually_in(sK407,X404,X405)
| ~ element(X406,the_carrier(X404))
| ~ related(X404,sK463(sK407,X404,X405),X406)
| empty_carrier(X404)
| in(apply_netmap(sK407,X404,X406),X405)
| ~ net_str(X404,sK407) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_51])]) ).
fof(f6581,plain,
( ! [X405,X404,X406] :
( ~ is_eventually_in(sK407,X404,X405)
| ~ net_str(X404,sK407)
| ~ one_sorted_str(sK407)
| in(apply_netmap(sK407,X404,X406),X405)
| empty_carrier(X404)
| ~ related(X404,sK463(sK407,X404,X405),X406)
| ~ element(X406,the_carrier(X404)) )
| spl578_31 ),
inference(resolution,[],[f6073,f4550]) ).
fof(f4550,plain,
! [X2,X0,X1,X4] :
( empty_carrier(X0)
| ~ related(X1,sK463(X0,X1,X2),X4)
| ~ net_str(X1,X0)
| ~ element(X4,the_carrier(X1))
| in(apply_netmap(X0,X1,X4),X2)
| ~ is_eventually_in(X0,X1,X2)
| empty_carrier(X1)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f1708]) ).
fof(f6708,plain,
( ~ spl578_47
| spl578_50
| spl578_31 ),
inference(avatar_split_clause,[],[f6651,f6071,f6706,f6693]) ).
fof(f6706,plain,
( spl578_50
<=> ! [X472,X471,X470] :
( ~ net_str(X470,sK407)
| empty_carrier(X471)
| partfun_dom_restriction(the_carrier(X471),the_carrier(sK407),the_mapping(sK407,X471),the_carrier(X470)) != the_mapping(sK407,X470)
| netstr_restr_to_element(sK407,X471,X472) = X470
| ~ net_str(X471,sK407)
| ~ strict_net_str(X470,sK407)
| ~ element(sK120(X471,X472,X470),the_carrier(X471))
| relation_restriction_as_relation_of(the_InternalRel(X471),the_carrier(X470)) != the_InternalRel(X470)
| ~ element(X472,the_carrier(X471))
| ~ related(X471,X472,sK120(X471,X472,X470))
| ~ in(sK120(X471,X472,X470),the_carrier(X470)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_50])]) ).
fof(f6651,plain,
( ! [X471,X470,X472] :
( ~ net_str(X470,sK407)
| ~ in(sK120(X471,X472,X470),the_carrier(X470))
| ~ related(X471,X472,sK120(X471,X472,X470))
| ~ element(X472,the_carrier(X471))
| relation_restriction_as_relation_of(the_InternalRel(X471),the_carrier(X470)) != the_InternalRel(X470)
| ~ element(sK120(X471,X472,X470),the_carrier(X471))
| ~ strict_net_str(X470,sK407)
| ~ net_str(X471,sK407)
| netstr_restr_to_element(sK407,X471,X472) = X470
| partfun_dom_restriction(the_carrier(X471),the_carrier(sK407),the_mapping(sK407,X471),the_carrier(X470)) != the_mapping(sK407,X470)
| ~ one_sorted_str(sK407)
| empty_carrier(X471) )
| spl578_31 ),
inference(resolution,[],[f6073,f5244]) ).
fof(f5244,plain,
! [X2,X3,X0,X1] :
( ~ strict_net_str(X3,X0)
| the_InternalRel(X3) != relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(X3))
| netstr_restr_to_element(X0,X1,X2) = X3
| empty_carrier(X1)
| ~ in(sK120(X1,X2,X3),the_carrier(X3))
| the_mapping(X0,X3) != partfun_dom_restriction(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X3))
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| ~ net_str(X3,X0)
| ~ element(sK120(X1,X2,X3),the_carrier(X1))
| empty_carrier(X0)
| ~ element(X2,the_carrier(X1))
| ~ related(X1,X2,sK120(X1,X2,X3)) ),
inference(equality_resolution,[],[f2862]) ).
fof(f2862,plain,
! [X2,X3,X0,X1,X5] :
( empty_carrier(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ element(X2,the_carrier(X1))
| ~ net_str(X3,X0)
| ~ strict_net_str(X3,X0)
| the_mapping(X0,X3) != partfun_dom_restriction(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X3))
| ~ related(X1,X2,X5)
| sK120(X1,X2,X3) != X5
| ~ element(X5,the_carrier(X1))
| ~ in(sK120(X1,X2,X3),the_carrier(X3))
| the_InternalRel(X3) != relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(X3))
| netstr_restr_to_element(X0,X1,X2) = X3
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f1613]) ).
fof(f6704,plain,
( spl578_49
| ~ spl578_44
| ~ spl578_45
| ~ spl578_43
| spl578_31 ),
inference(avatar_split_clause,[],[f6610,f6071,f6676,f6684,f6680,f6701]) ).
fof(f6610,plain,
( ~ latt_str(sK407)
| ~ lattice(sK407)
| ~ complete_latt_str(sK407)
| meet_associative(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4877]) ).
fof(f4877,plain,
! [X0] :
( ~ latt_str(X0)
| meet_associative(X0)
| empty_carrier(X0)
| ~ lattice(X0)
| ~ complete_latt_str(X0) ),
inference(cnf_transformation,[],[f1247]) ).
fof(f6699,plain,
( ~ spl578_47
| spl578_48
| spl578_31 ),
inference(avatar_split_clause,[],[f6462,f6071,f6697,f6693]) ).
fof(f6697,plain,
( spl578_48
<=> ! [X258,X259,X261,X260] :
( ~ related(X260,sK323(X260,X259,X258),apply_on_set_and_struct(the_carrier(X259),X260,X258,sK325(X260,X259,X258,X261)))
| ~ quasi_total(X258,the_carrier(X259),the_carrier(X260))
| ~ element(X261,the_carrier(X259))
| ~ function(X258)
| subnet(X259,sK407,X260)
| ~ net_str(X259,sK407)
| ~ transitive_relstr(X259)
| ~ directed_relstr(X260)
| empty_carrier(X260)
| ~ relation_of2_as_subset(X258,the_carrier(X259),the_carrier(X260))
| empty_carrier(X259)
| ~ net_str(X260,sK407)
| the_mapping(sK407,X259) != function_of_composition(the_carrier(X259),the_carrier(X260),the_carrier(sK407),X258,the_mapping(sK407,X260))
| ~ transitive_relstr(X260)
| ~ directed_relstr(X259) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_48])]) ).
fof(f6462,plain,
( ! [X261,X260,X259,X258] :
( ~ related(X260,sK323(X260,X259,X258),apply_on_set_and_struct(the_carrier(X259),X260,X258,sK325(X260,X259,X258,X261)))
| ~ directed_relstr(X259)
| ~ one_sorted_str(sK407)
| ~ transitive_relstr(X260)
| the_mapping(sK407,X259) != function_of_composition(the_carrier(X259),the_carrier(X260),the_carrier(sK407),X258,the_mapping(sK407,X260))
| ~ net_str(X260,sK407)
| empty_carrier(X259)
| ~ relation_of2_as_subset(X258,the_carrier(X259),the_carrier(X260))
| empty_carrier(X260)
| ~ directed_relstr(X260)
| ~ transitive_relstr(X259)
| ~ net_str(X259,sK407)
| subnet(X259,sK407,X260)
| ~ function(X258)
| ~ element(X261,the_carrier(X259))
| ~ quasi_total(X258,the_carrier(X259),the_carrier(X260)) )
| spl578_31 ),
inference(resolution,[],[f6073,f3847]) ).
fof(f6691,plain,
( ~ spl578_43
| ~ spl578_44
| ~ spl578_45
| spl578_46
| spl578_31 ),
inference(avatar_split_clause,[],[f6533,f6071,f6688,f6684,f6680,f6676]) ).
fof(f6533,plain,
( lower_bounded_relstr(poset_of_lattice(sK407))
| ~ lattice(sK407)
| ~ complete_latt_str(sK407)
| ~ latt_str(sK407)
| spl578_31 ),
inference(resolution,[],[f6073,f4148]) ).
fof(f4148,plain,
! [X0] :
( ~ complete_latt_str(X0)
| ~ lattice(X0)
| lower_bounded_relstr(poset_of_lattice(X0))
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f1679]) ).
fof(f6250,plain,
( ~ spl578_42
| spl578_1 ),
inference(avatar_split_clause,[],[f3635,f5542,f6231]) ).
fof(f6231,plain,
( spl578_42
<=> empty_set = sK284 ),
introduced(avatar_definition,[new_symbols(naming,[spl578_42])]) ).
fof(f5542,plain,
( spl578_1
<=> ! [X9,X8] :
( ~ ordinal(X8)
| ~ in(X8,omega)
| in(sK285(X9),X9)
| ~ element(X9,powerset(powerset(X8)))
| empty_set = X9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_1])]) ).
fof(f3635,plain,
! [X8,X9] :
( ~ ordinal(X8)
| ~ in(X8,omega)
| empty_set != sK284
| ~ element(X9,powerset(powerset(X8)))
| in(sK285(X9),X9)
| empty_set = X9 ),
inference(cnf_transformation,[],[f2210]) ).
fof(f2210,plain,
( ! [X8] :
( ! [X9] :
( ? [X10] :
( ! [X11] :
( ~ subset(X10,X11)
| ~ in(X11,X9)
| X10 = X11 )
& in(X10,X9) )
| ~ element(X9,powerset(powerset(X8)))
| empty_set = X9 )
| ~ ordinal(X8)
| ~ in(X8,omega) )
| ? [X0] :
( ordinal(X0)
& ? [X5] :
( element(X5,powerset(powerset(X0)))
& empty_set != X5
& ! [X6] :
( ~ in(X6,X5)
| ? [X7] :
( in(X7,X5)
& subset(X6,X7)
& X6 != X7 ) ) )
& ! [X1] :
( ~ in(X1,omega)
| ~ ordinal(X1)
| ~ in(X1,X0)
| ! [X2] :
( empty_set = X2
| ? [X3] :
( in(X3,X2)
& ! [X4] :
( X3 = X4
| ~ in(X4,X2)
| ~ subset(X3,X4) ) )
| ~ element(X2,powerset(powerset(X1))) ) )
& in(X0,omega) ) ),
inference(flattening,[],[f2209]) ).
fof(f2209,plain,
( ! [X8] :
( ! [X9] :
( empty_set = X9
| ? [X10] :
( ! [X11] :
( X10 = X11
| ~ in(X11,X9)
| ~ subset(X10,X11) )
& in(X10,X9) )
| ~ element(X9,powerset(powerset(X8))) )
| ~ in(X8,omega)
| ~ ordinal(X8) )
| ? [X0] :
( ? [X5] :
( empty_set != X5
& ! [X6] :
( ? [X7] :
( X6 != X7
& subset(X6,X7)
& in(X7,X5) )
| ~ in(X6,X5) )
& element(X5,powerset(powerset(X0))) )
& in(X0,omega)
& ! [X1] :
( ! [X2] :
( empty_set = X2
| ? [X3] :
( in(X3,X2)
& ! [X4] :
( X3 = X4
| ~ subset(X3,X4)
| ~ in(X4,X2) ) )
| ~ element(X2,powerset(powerset(X1))) )
| ~ in(X1,omega)
| ~ in(X1,X0)
| ~ ordinal(X1) )
& ordinal(X0) ) ),
inference(ennf_transformation,[],[f966]) ).
fof(f966,plain,
( ! [X0] :
( ordinal(X0)
=> ( ! [X1] :
( ordinal(X1)
=> ( in(X1,X0)
=> ( in(X1,omega)
=> ! [X2] :
( element(X2,powerset(powerset(X1)))
=> ~ ( empty_set != X2
& ! [X3] :
~ ( in(X3,X2)
& ! [X4] :
( ( subset(X3,X4)
& in(X4,X2) )
=> X3 = X4 ) ) ) ) ) ) )
=> ( in(X0,omega)
=> ! [X5] :
( element(X5,powerset(powerset(X0)))
=> ~ ( empty_set != X5
& ! [X6] :
~ ( ! [X7] :
( ( subset(X6,X7)
& in(X7,X5) )
=> X6 = X7 )
& in(X6,X5) ) ) ) ) ) )
=> ! [X8] :
( ordinal(X8)
=> ( in(X8,omega)
=> ! [X9] :
( element(X9,powerset(powerset(X8)))
=> ~ ( empty_set != X9
& ! [X10] :
~ ( ! [X11] :
( ( in(X11,X9)
& subset(X10,X11) )
=> X10 = X11 )
& in(X10,X9) ) ) ) ) ) ),
inference(rectify,[],[f644]) ).
fof(f644,axiom,
( ! [X0] :
( ordinal(X0)
=> ( ! [X1] :
( ordinal(X1)
=> ( in(X1,X0)
=> ( in(X1,omega)
=> ! [X2] :
( element(X2,powerset(powerset(X1)))
=> ~ ( empty_set != X2
& ! [X3] :
~ ( in(X3,X2)
& ! [X4] :
( ( subset(X3,X4)
& in(X4,X2) )
=> X3 = X4 ) ) ) ) ) ) )
=> ( in(X0,omega)
=> ! [X5] :
( element(X5,powerset(powerset(X0)))
=> ~ ( empty_set != X5
& ! [X6] :
~ ( ! [X7] :
( ( subset(X6,X7)
& in(X7,X5) )
=> X6 = X7 )
& in(X6,X5) ) ) ) ) ) )
=> ! [X0] :
( ordinal(X0)
=> ( in(X0,omega)
=> ! [X8] :
( element(X8,powerset(powerset(X0)))
=> ~ ( empty_set != X8
& ! [X9] :
~ ( in(X9,X8)
& ! [X10] :
( ( subset(X9,X10)
& in(X10,X8) )
=> X9 = X10 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s2_ordinal1__e18_27__finset_1__1) ).
fof(f6247,plain,
( spl578_7
| spl578_5
| spl578_6
| spl578_15 ),
inference(avatar_split_clause,[],[f5017,f5634,f5566,f5563,f5581]) ).
fof(f5581,plain,
( spl578_7
<=> in(succ(sK532),omega) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_7])]) ).
fof(f5563,plain,
( spl578_5
<=> ! [X18] :
( ~ in(X18,omega)
| ~ ordinal(X18)
| sP537(X18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_5])]) ).
fof(f5566,plain,
( spl578_6
<=> sP538(sK534) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_6])]) ).
fof(f5634,plain,
( spl578_15
<=> in(sK533,omega) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_15])]) ).
fof(f5017,plain,
! [X18] :
( in(sK533,omega)
| sP538(sK534)
| ~ in(X18,omega)
| sP537(X18)
| ~ ordinal(X18)
| in(succ(sK532),omega) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f1895,plain,
( ? [X10] :
( being_limit_ordinal(X10)
& empty_set != X10
& in(X10,omega)
& ordinal(X10)
& ! [X11] :
( ~ in(X11,omega)
| ~ in(X11,X10)
| ~ ordinal(X11)
| ! [X12] :
( empty_set = X12
| ? [X13] :
( ! [X14] :
( X13 = X14
| ~ subset(X13,X14)
| ~ in(X14,X12) )
& in(X13,X12) )
| ~ element(X12,powerset(powerset(X11))) ) )
& ? [X15] :
( element(X15,powerset(powerset(X10)))
& ! [X16] :
( ~ in(X16,X15)
| ? [X17] :
( subset(X16,X17)
& X16 != X17
& in(X17,X15) ) )
& empty_set != X15 ) )
| ( in(empty_set,omega)
& ? [X0] :
( empty_set != X0
& element(X0,powerset(powerset(empty_set)))
& ! [X1] :
( ~ in(X1,X0)
| ? [X2] :
( X1 != X2
& in(X2,X0)
& subset(X1,X2) ) ) ) )
| ! [X18] :
( ! [X19] :
( ? [X20] :
( in(X20,X19)
& ! [X21] :
( X20 = X21
| ~ subset(X20,X21)
| ~ in(X21,X19) ) )
| empty_set = X19
| ~ element(X19,powerset(powerset(X18))) )
| ~ ordinal(X18)
| ~ in(X18,omega) )
| ? [X3] :
( in(succ(X3),omega)
& ? [X7] :
( empty_set != X7
& element(X7,powerset(powerset(succ(X3))))
& ! [X8] :
( ~ in(X8,X7)
| ? [X9] :
( X8 != X9
& subset(X8,X9)
& in(X9,X7) ) ) )
& ordinal(X3)
& ( ! [X4] :
( empty_set = X4
| ? [X5] :
( ! [X6] :
( ~ in(X6,X4)
| X5 = X6
| ~ subset(X5,X6) )
& in(X5,X4) )
| ~ element(X4,powerset(powerset(X3))) )
| ~ in(X3,omega) ) ) ),
inference(flattening,[],[f1894]) ).
fof(f1894,plain,
( ! [X18] :
( ! [X19] :
( empty_set = X19
| ? [X20] :
( in(X20,X19)
& ! [X21] :
( X20 = X21
| ~ subset(X20,X21)
| ~ in(X21,X19) ) )
| ~ element(X19,powerset(powerset(X18))) )
| ~ in(X18,omega)
| ~ ordinal(X18) )
| ? [X10] :
( empty_set != X10
& ? [X15] :
( ! [X16] :
( ~ in(X16,X15)
| ? [X17] :
( X16 != X17
& subset(X16,X17)
& in(X17,X15) ) )
& empty_set != X15
& element(X15,powerset(powerset(X10))) )
& in(X10,omega)
& ! [X11] :
( ! [X12] :
( empty_set = X12
| ? [X13] :
( ! [X14] :
( X13 = X14
| ~ in(X14,X12)
| ~ subset(X13,X14) )
& in(X13,X12) )
| ~ element(X12,powerset(powerset(X11))) )
| ~ in(X11,omega)
| ~ in(X11,X10)
| ~ ordinal(X11) )
& being_limit_ordinal(X10)
& ordinal(X10) )
| ? [X3] :
( ? [X7] :
( ! [X8] :
( ? [X9] :
( X8 != X9
& subset(X8,X9)
& in(X9,X7) )
| ~ in(X8,X7) )
& empty_set != X7
& element(X7,powerset(powerset(succ(X3)))) )
& in(succ(X3),omega)
& ( ! [X4] :
( empty_set = X4
| ? [X5] :
( ! [X6] :
( X5 = X6
| ~ in(X6,X4)
| ~ subset(X5,X6) )
& in(X5,X4) )
| ~ element(X4,powerset(powerset(X3))) )
| ~ in(X3,omega) )
& ordinal(X3) )
| ( ? [X0] :
( ! [X1] :
( ? [X2] :
( X1 != X2
& in(X2,X0)
& subset(X1,X2) )
| ~ in(X1,X0) )
& empty_set != X0
& element(X0,powerset(powerset(empty_set))) )
& in(empty_set,omega) ) ),
inference(ennf_transformation,[],[f924]) ).
fof(f924,plain,
( ( ! [X10] :
( ordinal(X10)
=> ( ( ! [X11] :
( ordinal(X11)
=> ( in(X11,X10)
=> ( in(X11,omega)
=> ! [X12] :
( element(X12,powerset(powerset(X11)))
=> ~ ( empty_set != X12
& ! [X13] :
~ ( ! [X14] :
( ( in(X14,X12)
& subset(X13,X14) )
=> X13 = X14 )
& in(X13,X12) ) ) ) ) ) )
& being_limit_ordinal(X10) )
=> ( empty_set = X10
| ( in(X10,omega)
=> ! [X15] :
( element(X15,powerset(powerset(X10)))
=> ~ ( ! [X16] :
~ ( in(X16,X15)
& ! [X17] :
( ( subset(X16,X17)
& in(X17,X15) )
=> X16 = X17 ) )
& empty_set != X15 ) ) ) ) ) )
& ! [X3] :
( ordinal(X3)
=> ( ( in(X3,omega)
=> ! [X4] :
( element(X4,powerset(powerset(X3)))
=> ~ ( empty_set != X4
& ! [X5] :
~ ( ! [X6] :
( ( in(X6,X4)
& subset(X5,X6) )
=> X5 = X6 )
& in(X5,X4) ) ) ) )
=> ( in(succ(X3),omega)
=> ! [X7] :
( element(X7,powerset(powerset(succ(X3))))
=> ~ ( ! [X8] :
~ ( ! [X9] :
( ( subset(X8,X9)
& in(X9,X7) )
=> X8 = X9 )
& in(X8,X7) )
& empty_set != X7 ) ) ) ) )
& ( in(empty_set,omega)
=> ! [X0] :
( element(X0,powerset(powerset(empty_set)))
=> ~ ( ! [X1] :
~ ( ! [X2] :
( ( in(X2,X0)
& subset(X1,X2) )
=> X1 = X2 )
& in(X1,X0) )
& empty_set != X0 ) ) ) )
=> ! [X18] :
( ordinal(X18)
=> ( in(X18,omega)
=> ! [X19] :
( element(X19,powerset(powerset(X18)))
=> ~ ( empty_set != X19
& ! [X20] :
~ ( in(X20,X19)
& ! [X21] :
( ( subset(X20,X21)
& in(X21,X19) )
=> X20 = X21 ) ) ) ) ) ) ),
inference(rectify,[],[f607]) ).
fof(f607,axiom,
( ( ( in(empty_set,omega)
=> ! [X0] :
( element(X0,powerset(powerset(empty_set)))
=> ~ ( ! [X1] :
~ ( ! [X2] :
( ( in(X2,X0)
& subset(X1,X2) )
=> X1 = X2 )
& in(X1,X0) )
& empty_set != X0 ) ) )
& ! [X3] :
( ordinal(X3)
=> ( ( in(X3,omega)
=> ! [X4] :
( element(X4,powerset(powerset(X3)))
=> ~ ( empty_set != X4
& ! [X5] :
~ ( ! [X6] :
( ( in(X6,X4)
& subset(X5,X6) )
=> X5 = X6 )
& in(X5,X4) ) ) ) )
=> ( in(succ(X3),omega)
=> ! [X7] :
( element(X7,powerset(powerset(succ(X3))))
=> ~ ( ! [X8] :
~ ( ! [X9] :
( ( subset(X8,X9)
& in(X9,X7) )
=> X8 = X9 )
& in(X8,X7) )
& empty_set != X7 ) ) ) ) )
& ! [X3] :
( ordinal(X3)
=> ( ( ! [X10] :
( ordinal(X10)
=> ( in(X10,X3)
=> ( in(X10,omega)
=> ! [X11] :
( element(X11,powerset(powerset(X10)))
=> ~ ( ! [X12] :
~ ( in(X12,X11)
& ! [X13] :
( ( subset(X12,X13)
& in(X13,X11) )
=> X12 = X13 ) )
& empty_set != X11 ) ) ) ) )
& being_limit_ordinal(X3) )
=> ( ( in(X3,omega)
=> ! [X14] :
( element(X14,powerset(powerset(X3)))
=> ~ ( empty_set != X14
& ! [X15] :
~ ( in(X15,X14)
& ! [X16] :
( ( subset(X15,X16)
& in(X16,X14) )
=> X15 = X16 ) ) ) ) )
| empty_set = X3 ) ) ) )
=> ! [X3] :
( ordinal(X3)
=> ( in(X3,omega)
=> ! [X17] :
( element(X17,powerset(powerset(X3)))
=> ~ ( empty_set != X17
& ! [X18] :
~ ( ! [X19] :
( ( in(X19,X17)
& subset(X18,X19) )
=> X18 = X19 )
& in(X18,X17) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_ordinal2__e18_27__finset_1) ).
fof(f6246,plain,
( spl578_7
| spl578_6
| spl578_22
| spl578_5 ),
inference(avatar_split_clause,[],[f5016,f5563,f5708,f5566,f5581]) ).
fof(f5708,plain,
( spl578_22
<=> ordinal(sK533) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_22])]) ).
fof(f5016,plain,
! [X18] :
( sP537(X18)
| ordinal(sK533)
| sP538(sK534)
| ~ ordinal(X18)
| in(succ(sK532),omega)
| ~ in(X18,omega) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f6245,plain,
( spl578_12
| spl578_3
| spl578_6
| spl578_5 ),
inference(avatar_split_clause,[],[f5015,f5563,f5566,f5555,f5609]) ).
fof(f5609,plain,
( spl578_12
<=> sP536(sK532) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_12])]) ).
fof(f5555,plain,
( spl578_3
<=> being_limit_ordinal(sK533) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_3])]) ).
fof(f5015,plain,
! [X18] :
( ~ ordinal(X18)
| sP538(sK534)
| being_limit_ordinal(sK533)
| sP537(X18)
| ~ in(X18,omega)
| sP536(sK532) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f6244,plain,
( spl578_6
| spl578_12
| spl578_5
| spl578_36 ),
inference(avatar_split_clause,[],[f4973,f6158,f5563,f5609,f5566]) ).
fof(f6158,plain,
( spl578_36
<=> element(sK539,powerset(powerset(sK533))) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_36])]) ).
fof(f4973,plain,
! [X18] :
( element(sK539,powerset(powerset(sK533)))
| ~ in(X18,omega)
| ~ ordinal(X18)
| sP536(sK532)
| sP538(sK534)
| sP537(X18) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f6235,plain,
( spl578_23
| spl578_19 ),
inference(avatar_split_clause,[],[f3642,f5678,f5723]) ).
fof(f5723,plain,
( spl578_23
<=> in(sK283,omega) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_23])]) ).
fof(f5678,plain,
( spl578_19
<=> ! [X9,X11,X8] :
( sP288(X11,sK285(X9),X9)
| ~ in(X8,omega)
| empty_set = X9
| ~ element(X9,powerset(powerset(X8)))
| ~ ordinal(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_19])]) ).
fof(f3642,plain,
! [X11,X8,X9] :
( ~ element(X9,powerset(powerset(X8)))
| sP288(X11,sK285(X9),X9)
| in(sK283,omega)
| ~ in(X8,omega)
| empty_set = X9
| ~ ordinal(X8) ),
inference(cnf_transformation,[],[f2210]) ).
fof(f6234,plain,
( ~ spl578_42
| spl578_19 ),
inference(avatar_split_clause,[],[f3636,f5678,f6231]) ).
fof(f3636,plain,
! [X11,X8,X9] :
( ~ in(X8,omega)
| ~ element(X9,powerset(powerset(X8)))
| empty_set != sK284
| empty_set = X9
| ~ ordinal(X8)
| sP288(X11,sK285(X9),X9) ),
inference(cnf_transformation,[],[f2210]) ).
fof(f6229,plain,
( spl578_6
| spl578_3
| spl578_10
| spl578_5 ),
inference(avatar_split_clause,[],[f5007,f5563,f5595,f5555,f5566]) ).
fof(f5595,plain,
( spl578_10
<=> sP535(sK532) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_10])]) ).
fof(f5007,plain,
! [X18] :
( ~ ordinal(X18)
| ~ in(X18,omega)
| sP535(sK532)
| being_limit_ordinal(sK533)
| sP537(X18)
| sP538(sK534) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f6225,plain,
( spl578_7
| spl578_36
| spl578_6
| spl578_5 ),
inference(avatar_split_clause,[],[f4971,f5563,f5566,f6158,f5581]) ).
fof(f4971,plain,
! [X18] :
( ~ ordinal(X18)
| sP538(sK534)
| element(sK539,powerset(powerset(sK533)))
| sP537(X18)
| ~ in(X18,omega)
| in(succ(sK532),omega) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f6224,plain,
( spl578_37
| spl578_38 ),
inference(avatar_split_clause,[],[f4290,f6172,f6168]) ).
fof(f4290,plain,
( point_neighbourhood(sK409,sK407,sK408)
| in(sK409,neighborhood_system(sK407,sK408)) ),
inference(cnf_transformation,[],[f1338]) ).
fof(f1338,plain,
? [X0] :
( ~ empty_carrier(X0)
& ? [X1] :
( ? [X2] :
( point_neighbourhood(X2,X0,X1)
<~> in(X2,neighborhood_system(X0,X1)) )
& element(X1,the_carrier(X0)) )
& topological_space(X0)
& top_str(X0) ),
inference(flattening,[],[f1337]) ).
fof(f1337,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( point_neighbourhood(X2,X0,X1)
<~> in(X2,neighborhood_system(X0,X1)) )
& element(X1,the_carrier(X0)) )
& top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) ),
inference(ennf_transformation,[],[f792]) ).
fof(f792,negated_conjecture,
~ ! [X0] :
( ( top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( in(X2,neighborhood_system(X0,X1))
<=> point_neighbourhood(X2,X0,X1) ) ) ),
inference(negated_conjecture,[],[f791]) ).
fof(f791,conjecture,
! [X0] :
( ( top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( in(X2,neighborhood_system(X0,X1))
<=> point_neighbourhood(X2,X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_yellow19) ).
fof(f6219,plain,
( spl578_4
| spl578_6
| spl578_13
| spl578_5 ),
inference(avatar_split_clause,[],[f4923,f5563,f5614,f5566,f5559]) ).
fof(f5559,plain,
( spl578_4
<=> ordinal(sK532) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_4])]) ).
fof(f5614,plain,
( spl578_13
<=> ! [X12,X11,X14] :
( ~ ordinal(X11)
| empty_set = X12
| sK545(X12) = X14
| ~ subset(sK545(X12),X14)
| ~ in(X14,X12)
| ~ element(X12,powerset(powerset(X11)))
| ~ in(X11,omega)
| ~ in(X11,sK533) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_13])]) ).
fof(f4923,plain,
! [X11,X18,X14,X12] :
( ~ ordinal(X18)
| ~ ordinal(X11)
| empty_set = X12
| ~ in(X11,sK533)
| sK545(X12) = X14
| ~ in(X18,omega)
| ~ in(X11,omega)
| sP538(sK534)
| ~ subset(sK545(X12),X14)
| ~ in(X14,X12)
| sP537(X18)
| ~ element(X12,powerset(powerset(X11)))
| ordinal(sK532) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f6201,plain,
( spl578_10
| spl578_36
| spl578_6
| spl578_5 ),
inference(avatar_split_clause,[],[f4977,f5563,f5566,f6158,f5595]) ).
fof(f4977,plain,
! [X18] :
( sP537(X18)
| sP538(sK534)
| element(sK539,powerset(powerset(sK533)))
| ~ in(X18,omega)
| ~ ordinal(X18)
| sP535(sK532) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f6200,plain,
( spl578_19
| spl578_2 ),
inference(avatar_split_clause,[],[f3625,f5545,f5678]) ).
fof(f5545,plain,
( spl578_2
<=> ! [X2,X1,X4] :
( ~ ordinal(X1)
| ~ in(X1,omega)
| empty_set = X2
| sK286(X2) = X4
| ~ subset(sK286(X2),X4)
| ~ in(X4,X2)
| ~ in(X1,sK283)
| ~ element(X2,powerset(powerset(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_2])]) ).
fof(f3625,plain,
! [X2,X11,X1,X8,X9,X4] :
( ~ in(X1,sK283)
| ~ in(X8,omega)
| empty_set = X9
| ~ in(X4,X2)
| empty_set = X2
| ~ element(X2,powerset(powerset(X1)))
| ~ ordinal(X1)
| ~ element(X9,powerset(powerset(X8)))
| ~ in(X1,omega)
| sK286(X2) = X4
| ~ subset(sK286(X2),X4)
| ~ ordinal(X8)
| sP288(X11,sK285(X9),X9) ),
inference(cnf_transformation,[],[f2210]) ).
fof(f6199,plain,
~ spl578_41,
inference(avatar_split_clause,[],[f5511,f6196]) ).
fof(f6196,plain,
( spl578_41
<=> sP538(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_41])]) ).
fof(f5511,plain,
~ sP538(empty_set),
inference(equality_resolution,[],[f4987]) ).
fof(f4987,plain,
! [X0] :
( empty_set != X0
| ~ sP538(X0) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f6192,plain,
spl578_40,
inference(avatar_split_clause,[],[f4294,f6189]) ).
fof(f4294,plain,
topological_space(sK407),
inference(cnf_transformation,[],[f1338]) ).
fof(f6187,plain,
( spl578_19
| spl578_27 ),
inference(avatar_split_clause,[],[f3629,f6016,f5678]) ).
fof(f6016,plain,
( spl578_27
<=> ! [X6] :
( in(sK287(X6),sK284)
| ~ in(X6,sK284) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_27])]) ).
fof(f3629,plain,
! [X11,X8,X6,X9] :
( ~ in(X6,sK284)
| ~ ordinal(X8)
| empty_set = X9
| sP288(X11,sK285(X9),X9)
| in(sK287(X6),sK284)
| ~ element(X9,powerset(powerset(X8)))
| ~ in(X8,omega) ),
inference(cnf_transformation,[],[f2210]) ).
fof(f6186,plain,
spl578_39,
inference(avatar_split_clause,[],[f4293,f6183]) ).
fof(f4293,plain,
top_str(sK407),
inference(cnf_transformation,[],[f1338]) ).
fof(f6179,plain,
( spl578_12
| spl578_6
| spl578_5
| spl578_15 ),
inference(avatar_split_clause,[],[f5013,f5634,f5563,f5566,f5609]) ).
fof(f5013,plain,
! [X18] :
( in(sK533,omega)
| sP537(X18)
| ~ in(X18,omega)
| sP538(sK534)
| ~ ordinal(X18)
| sP536(sK532) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f6175,plain,
( ~ spl578_37
| ~ spl578_38 ),
inference(avatar_split_clause,[],[f4291,f6172,f6168]) ).
fof(f4291,plain,
( ~ point_neighbourhood(sK409,sK407,sK408)
| ~ in(sK409,neighborhood_system(sK407,sK408)) ),
inference(cnf_transformation,[],[f1338]) ).
fof(f6164,plain,
( spl578_19
| spl578_21 ),
inference(avatar_split_clause,[],[f3633,f5696,f5678]) ).
fof(f5696,plain,
( spl578_21
<=> ! [X2,X1] :
( ~ in(X1,sK283)
| ~ in(X1,omega)
| empty_set = X2
| ~ element(X2,powerset(powerset(X1)))
| in(sK286(X2),X2)
| ~ ordinal(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_21])]) ).
fof(f3633,plain,
! [X2,X11,X1,X8,X9] :
( empty_set = X2
| ~ in(X8,omega)
| ~ in(X1,omega)
| ~ in(X1,sK283)
| ~ element(X2,powerset(powerset(X1)))
| ~ ordinal(X8)
| in(sK286(X2),X2)
| empty_set = X9
| sP288(X11,sK285(X9),X9)
| ~ element(X9,powerset(powerset(X8)))
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f2210]) ).
fof(f6161,plain,
( spl578_36
| spl578_4
| spl578_6
| spl578_5 ),
inference(avatar_split_clause,[],[f4975,f5563,f5566,f5559,f6158]) ).
fof(f4975,plain,
! [X18] :
( sP537(X18)
| ~ ordinal(X18)
| ~ in(X18,omega)
| sP538(sK534)
| ordinal(sK532)
| element(sK539,powerset(powerset(sK533))) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f6153,plain,
( spl578_5
| spl578_7
| spl578_17
| spl578_6 ),
inference(avatar_split_clause,[],[f4941,f5566,f5666,f5581,f5563]) ).
fof(f5666,plain,
( spl578_17
<=> ! [X16] :
( ~ in(X16,sK539)
| subset(X16,sK544(X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_17])]) ).
fof(f4941,plain,
! [X18,X16] :
( sP538(sK534)
| ~ in(X16,sK539)
| in(succ(sK532),omega)
| sP537(X18)
| ~ ordinal(X18)
| subset(X16,sK544(X16))
| ~ in(X18,omega) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f6149,plain,
( spl578_4
| spl578_6
| spl578_22
| spl578_5 ),
inference(avatar_split_clause,[],[f5008,f5563,f5708,f5566,f5559]) ).
fof(f5008,plain,
! [X18] :
( ~ ordinal(X18)
| sP537(X18)
| ordinal(sK533)
| ~ in(X18,omega)
| sP538(sK534)
| ordinal(sK532) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f6148,plain,
( ~ spl578_11
| spl578_4
| spl578_6
| spl578_5 ),
inference(avatar_split_clause,[],[f5010,f5563,f5566,f5559,f5605]) ).
fof(f5605,plain,
( spl578_11
<=> empty_set = sK533 ),
introduced(avatar_definition,[new_symbols(naming,[spl578_11])]) ).
fof(f5010,plain,
! [X18] :
( ~ in(X18,omega)
| sP538(sK534)
| ~ ordinal(X18)
| sP537(X18)
| ordinal(sK532)
| empty_set != sK533 ),
inference(cnf_transformation,[],[f1895]) ).
fof(f6132,plain,
( ~ spl578_9
| spl578_4
| spl578_5
| spl578_6 ),
inference(avatar_split_clause,[],[f4974,f5566,f5563,f5559,f5591]) ).
fof(f5591,plain,
( spl578_9
<=> empty_set = sK539 ),
introduced(avatar_definition,[new_symbols(naming,[spl578_9])]) ).
fof(f4974,plain,
! [X18] :
( sP538(sK534)
| ~ ordinal(X18)
| sP537(X18)
| ~ in(X18,omega)
| ordinal(sK532)
| empty_set != sK539 ),
inference(cnf_transformation,[],[f1895]) ).
fof(f6131,plain,
spl578_35,
inference(avatar_split_clause,[],[f4292,f6128]) ).
fof(f4292,plain,
element(sK408,the_carrier(sK407)),
inference(cnf_transformation,[],[f1338]) ).
fof(f6126,plain,
spl578_34,
inference(avatar_split_clause,[],[f2746,f6123]) ).
fof(f6123,plain,
( spl578_34
<=> empty_set = relation_rng(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_34])]) ).
fof(f2746,plain,
empty_set = relation_rng(empty_set),
inference(cnf_transformation,[],[f841]) ).
fof(f841,axiom,
( empty_set = relation_dom(empty_set)
& empty_set = relation_rng(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_relat_1) ).
fof(f6117,plain,
( spl578_26
| spl578_1 ),
inference(avatar_split_clause,[],[f3639,f5542,f5969]) ).
fof(f5969,plain,
( spl578_26
<=> ordinal(sK283) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_26])]) ).
fof(f3639,plain,
! [X8,X9] :
( ~ ordinal(X8)
| empty_set = X9
| ~ in(X8,omega)
| ~ element(X9,powerset(powerset(X8)))
| ordinal(sK283)
| in(sK285(X9),X9) ),
inference(cnf_transformation,[],[f2210]) ).
fof(f6104,plain,
( spl578_5
| spl578_6
| spl578_12
| spl578_13 ),
inference(avatar_split_clause,[],[f4924,f5614,f5609,f5566,f5563]) ).
fof(f4924,plain,
! [X11,X18,X14,X12] :
( ~ ordinal(X11)
| ~ in(X11,sK533)
| sK545(X12) = X14
| sP536(sK532)
| sP538(sK534)
| ~ in(X18,omega)
| ~ in(X14,X12)
| ~ in(X11,omega)
| empty_set = X12
| sP537(X18)
| ~ ordinal(X18)
| ~ subset(sK545(X12),X14)
| ~ element(X12,powerset(powerset(X11))) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f6098,plain,
( spl578_6
| ~ spl578_11
| spl578_5
| spl578_10 ),
inference(avatar_split_clause,[],[f5006,f5595,f5563,f5605,f5566]) ).
fof(f5006,plain,
! [X18] :
( sP535(sK532)
| ~ ordinal(X18)
| ~ in(X18,omega)
| empty_set != sK533
| sP538(sK534)
| sP537(X18) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f6090,plain,
( spl578_32
| spl578_33 ),
inference(avatar_split_clause,[],[f3259,f6088,f6085]) ).
fof(f6088,plain,
( spl578_33
<=> ! [X2,X0] :
( ~ topological_space(X0)
| open_subset(X2,X0)
| ~ element(X2,powerset(the_carrier(X0)))
| ~ top_str(X0)
| interior(X0,X2) != X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_33])]) ).
fof(f3259,plain,
! [X2,X3,X0,X1] :
( ~ topological_space(X0)
| interior(X0,X2) != X2
| ~ top_str(X1)
| ~ top_str(X0)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ element(X2,powerset(the_carrier(X0)))
| open_subset(X2,X0) ),
inference(cnf_transformation,[],[f1852]) ).
fof(f1852,plain,
! [X0] :
( ~ topological_space(X0)
| ! [X1] :
( ! [X2] :
( ~ element(X2,powerset(the_carrier(X0)))
| ! [X3] :
( ~ element(X3,powerset(the_carrier(X1)))
| ( ( open_subset(X2,X0)
| interior(X0,X2) != X2 )
& ( interior(X1,X3) = X3
| ~ open_subset(X3,X1) ) ) ) )
| ~ top_str(X1) )
| ~ top_str(X0) ),
inference(flattening,[],[f1851]) ).
fof(f1851,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ element(X2,powerset(the_carrier(X0)))
| ! [X3] :
( ~ element(X3,powerset(the_carrier(X1)))
| ( ( open_subset(X2,X0)
| interior(X0,X2) != X2 )
& ( interior(X1,X3) = X3
| ~ open_subset(X3,X1) ) ) ) )
| ~ top_str(X1) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(ennf_transformation,[],[f832]) ).
fof(f832,axiom,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ! [X1] :
( top_str(X1)
=> ! [X2] :
( element(X2,powerset(the_carrier(X0)))
=> ! [X3] :
( element(X3,powerset(the_carrier(X1)))
=> ( ( interior(X0,X2) = X2
=> open_subset(X2,X0) )
& ( open_subset(X3,X1)
=> interior(X1,X3) = X3 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_tops_1) ).
fof(f6074,plain,
~ spl578_31,
inference(avatar_split_clause,[],[f4295,f6071]) ).
fof(f4295,plain,
~ empty_carrier(sK407),
inference(cnf_transformation,[],[f1338]) ).
fof(f6069,plain,
( spl578_6
| spl578_5
| spl578_8
| spl578_12 ),
inference(avatar_split_clause,[],[f4942,f5609,f5585,f5563,f5566]) ).
fof(f5585,plain,
( spl578_8
<=> ! [X16] :
( in(sK544(X16),sK539)
| ~ in(X16,sK539) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_8])]) ).
fof(f4942,plain,
! [X18,X16] :
( sP536(sK532)
| in(sK544(X16),sK539)
| ~ in(X18,omega)
| ~ ordinal(X18)
| ~ in(X16,sK539)
| sP537(X18)
| sP538(sK534) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f6052,plain,
( spl578_6
| spl578_10
| spl578_5
| spl578_14 ),
inference(avatar_split_clause,[],[f4934,f5624,f5563,f5595,f5566]) ).
fof(f5624,plain,
( spl578_14
<=> ! [X12,X11] :
( ~ in(X11,sK533)
| empty_set = X12
| in(sK545(X12),X12)
| ~ element(X12,powerset(powerset(X11)))
| ~ in(X11,omega)
| ~ ordinal(X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_14])]) ).
fof(f4934,plain,
! [X11,X18,X12] :
( ~ ordinal(X11)
| ~ in(X11,omega)
| ~ ordinal(X18)
| ~ element(X12,powerset(powerset(X11)))
| sP535(sK532)
| ~ in(X18,omega)
| in(sK545(X12),X12)
| sP538(sK534)
| ~ in(X11,sK533)
| empty_set = X12
| sP537(X18) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f6049,plain,
( spl578_7
| spl578_6
| spl578_13
| spl578_5 ),
inference(avatar_split_clause,[],[f4925,f5563,f5614,f5566,f5581]) ).
fof(f4925,plain,
! [X11,X18,X14,X12] :
( ~ in(X18,omega)
| ~ element(X12,powerset(powerset(X11)))
| sP537(X18)
| ~ subset(sK545(X12),X14)
| ~ in(X14,X12)
| sK545(X12) = X14
| empty_set = X12
| sP538(sK534)
| in(succ(sK532),omega)
| ~ ordinal(X11)
| ~ ordinal(X18)
| ~ in(X11,sK533)
| ~ in(X11,omega) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f6040,plain,
( spl578_5
| spl578_6
| spl578_22
| spl578_10 ),
inference(avatar_split_clause,[],[f5004,f5595,f5708,f5566,f5563]) ).
fof(f5004,plain,
! [X18] :
( sP535(sK532)
| ordinal(sK533)
| sP538(sK534)
| sP537(X18)
| ~ ordinal(X18)
| ~ in(X18,omega) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f6039,plain,
( spl578_29
| spl578_30 ),
inference(avatar_split_clause,[],[f3260,f6037,f6034]) ).
fof(f6034,plain,
( spl578_29
<=> ! [X1,X3] :
( ~ top_str(X1)
| ~ open_subset(X3,X1)
| interior(X1,X3) = X3
| ~ element(X3,powerset(the_carrier(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_29])]) ).
fof(f6037,plain,
( spl578_30
<=> ! [X2,X0] :
( ~ top_str(X0)
| ~ topological_space(X0)
| ~ element(X2,powerset(the_carrier(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_30])]) ).
fof(f3260,plain,
! [X2,X3,X0,X1] :
( ~ top_str(X0)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X0)))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ topological_space(X0)
| interior(X1,X3) = X3
| ~ open_subset(X3,X1) ),
inference(cnf_transformation,[],[f1852]) ).
fof(f6032,plain,
spl578_28,
inference(avatar_split_clause,[],[f3839,f6029]) ).
fof(f6029,plain,
( spl578_28
<=> powerset(empty_set) = singleton(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_28])]) ).
fof(f3839,plain,
powerset(empty_set) = singleton(empty_set),
inference(cnf_transformation,[],[f711]) ).
fof(f711,axiom,
powerset(empty_set) = singleton(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_zfmisc_1) ).
fof(f6025,plain,
( spl578_6
| spl578_12
| spl578_16
| spl578_5 ),
inference(avatar_split_clause,[],[f4943,f5563,f5639,f5609,f5566]) ).
fof(f5639,plain,
( spl578_16
<=> ! [X16] :
( sK544(X16) != X16
| ~ in(X16,sK539) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_16])]) ).
fof(f4943,plain,
! [X18,X16] :
( sP537(X18)
| sK544(X16) != X16
| ~ ordinal(X18)
| ~ in(X18,omega)
| ~ in(X16,sK539)
| sP536(sK532)
| sP538(sK534) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f6018,plain,
( spl578_1
| spl578_27 ),
inference(avatar_split_clause,[],[f3632,f6016,f5542]) ).
fof(f3632,plain,
! [X8,X6,X9] :
( in(sK287(X6),sK284)
| ~ in(X6,sK284)
| ~ in(X8,omega)
| ~ ordinal(X8)
| in(sK285(X9),X9)
| ~ element(X9,powerset(powerset(X8)))
| empty_set = X9 ),
inference(cnf_transformation,[],[f2210]) ).
fof(f6001,plain,
( spl578_7
| spl578_5
| ~ spl578_9
| spl578_6 ),
inference(avatar_split_clause,[],[f4970,f5566,f5591,f5563,f5581]) ).
fof(f4970,plain,
! [X18] :
( sP538(sK534)
| empty_set != sK539
| sP537(X18)
| ~ in(X18,omega)
| in(succ(sK532),omega)
| ~ ordinal(X18) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f5973,plain,
( spl578_6
| ~ spl578_9
| spl578_12
| spl578_5 ),
inference(avatar_split_clause,[],[f4972,f5563,f5609,f5591,f5566]) ).
fof(f4972,plain,
! [X18] :
( sP537(X18)
| sP536(sK532)
| empty_set != sK539
| ~ ordinal(X18)
| sP538(sK534)
| ~ in(X18,omega) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f5972,plain,
( spl578_26
| spl578_19 ),
inference(avatar_split_clause,[],[f3640,f5678,f5969]) ).
fof(f3640,plain,
! [X11,X8,X9] :
( sP288(X11,sK285(X9),X9)
| ~ in(X8,omega)
| ~ element(X9,powerset(powerset(X8)))
| ordinal(sK283)
| empty_set = X9
| ~ ordinal(X8) ),
inference(cnf_transformation,[],[f2210]) ).
fof(f5954,plain,
( spl578_16
| spl578_5
| spl578_6
| spl578_7 ),
inference(avatar_split_clause,[],[f4940,f5581,f5566,f5563,f5639]) ).
fof(f4940,plain,
! [X18,X16] :
( in(succ(sK532),omega)
| sP538(sK534)
| sP537(X18)
| sK544(X16) != X16
| ~ in(X16,sK539)
| ~ ordinal(X18)
| ~ in(X18,omega) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f5949,plain,
( spl578_24
| spl578_1 ),
inference(avatar_split_clause,[],[f3631,f5542,f5773]) ).
fof(f5773,plain,
( spl578_24
<=> ! [X6] :
( subset(X6,sK287(X6))
| ~ in(X6,sK284) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_24])]) ).
fof(f3631,plain,
! [X8,X6,X9] :
( empty_set = X9
| subset(X6,sK287(X6))
| ~ in(X6,sK284)
| in(sK285(X9),X9)
| ~ in(X8,omega)
| ~ element(X9,powerset(powerset(X8)))
| ~ ordinal(X8) ),
inference(cnf_transformation,[],[f2210]) ).
fof(f5804,plain,
( spl578_10
| spl578_5
| spl578_8
| spl578_6 ),
inference(avatar_split_clause,[],[f4948,f5566,f5585,f5563,f5595]) ).
fof(f4948,plain,
! [X18,X16] :
( sP538(sK534)
| in(sK544(X16),sK539)
| ~ ordinal(X18)
| ~ in(X18,omega)
| ~ in(X16,sK539)
| sP535(sK532)
| sP537(X18) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f5787,plain,
spl578_25,
inference(avatar_split_clause,[],[f2747,f5784]) ).
fof(f5784,plain,
( spl578_25
<=> empty_set = relation_dom(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_25])]) ).
fof(f2747,plain,
empty_set = relation_dom(empty_set),
inference(cnf_transformation,[],[f841]) ).
fof(f5775,plain,
( spl578_24
| spl578_19 ),
inference(avatar_split_clause,[],[f3628,f5678,f5773]) ).
fof(f3628,plain,
! [X11,X8,X6,X9] :
( sP288(X11,sK285(X9),X9)
| ~ ordinal(X8)
| subset(X6,sK287(X6))
| ~ in(X6,sK284)
| ~ element(X9,powerset(powerset(X8)))
| empty_set = X9
| ~ in(X8,omega) ),
inference(cnf_transformation,[],[f2210]) ).
fof(f5751,plain,
( ~ spl578_11
| spl578_7
| spl578_6
| spl578_5 ),
inference(avatar_split_clause,[],[f5018,f5563,f5566,f5581,f5605]) ).
fof(f5018,plain,
! [X18] :
( sP537(X18)
| sP538(sK534)
| in(succ(sK532),omega)
| ~ ordinal(X18)
| ~ in(X18,omega)
| empty_set != sK533 ),
inference(cnf_transformation,[],[f1895]) ).
fof(f5747,plain,
( spl578_20
| spl578_19 ),
inference(avatar_split_clause,[],[f3627,f5678,f5686]) ).
fof(f5686,plain,
( spl578_20
<=> ! [X6] :
( ~ in(X6,sK284)
| sK287(X6) != X6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_20])]) ).
fof(f3627,plain,
! [X11,X8,X6,X9] :
( ~ element(X9,powerset(powerset(X8)))
| empty_set = X9
| sP288(X11,sK285(X9),X9)
| sK287(X6) != X6
| ~ in(X8,omega)
| ~ ordinal(X8)
| ~ in(X6,sK284) ),
inference(cnf_transformation,[],[f2210]) ).
fof(f5742,plain,
( spl578_4
| spl578_5
| spl578_6
| spl578_8 ),
inference(avatar_split_clause,[],[f4945,f5585,f5566,f5563,f5559]) ).
fof(f4945,plain,
! [X18,X16] :
( in(sK544(X16),sK539)
| sP538(sK534)
| ~ ordinal(X18)
| ~ in(X18,omega)
| sP537(X18)
| ~ in(X16,sK539)
| ordinal(sK532) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f5733,plain,
( spl578_6
| spl578_5
| spl578_17
| spl578_10 ),
inference(avatar_split_clause,[],[f4950,f5595,f5666,f5563,f5566]) ).
fof(f4950,plain,
! [X18,X16] :
( sP535(sK532)
| subset(X16,sK544(X16))
| ~ ordinal(X18)
| ~ in(X18,omega)
| sP538(sK534)
| ~ in(X16,sK539)
| sP537(X18) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f5727,plain,
( spl578_15
| spl578_10
| spl578_5
| spl578_6 ),
inference(avatar_split_clause,[],[f5005,f5566,f5563,f5595,f5634]) ).
fof(f5005,plain,
! [X18] :
( sP538(sK534)
| ~ in(X18,omega)
| sP535(sK532)
| in(sK533,omega)
| sP537(X18)
| ~ ordinal(X18) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f5726,plain,
( spl578_23
| spl578_1 ),
inference(avatar_split_clause,[],[f3641,f5542,f5723]) ).
fof(f3641,plain,
! [X8,X9] :
( in(sK285(X9),X9)
| ~ element(X9,powerset(powerset(X8)))
| empty_set = X9
| in(sK283,omega)
| ~ in(X8,omega)
| ~ ordinal(X8) ),
inference(cnf_transformation,[],[f2210]) ).
fof(f5711,plain,
( spl578_22
| spl578_12
| spl578_5
| spl578_6 ),
inference(avatar_split_clause,[],[f5012,f5566,f5563,f5609,f5708]) ).
fof(f5012,plain,
! [X18] :
( sP538(sK534)
| sP537(X18)
| ~ ordinal(X18)
| ~ in(X18,omega)
| sP536(sK532)
| ordinal(sK533) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f5706,plain,
( spl578_18
| spl578_1 ),
inference(avatar_split_clause,[],[f3637,f5542,f5674]) ).
fof(f5674,plain,
( spl578_18
<=> element(sK284,powerset(powerset(sK283))) ),
introduced(avatar_definition,[new_symbols(naming,[spl578_18])]) ).
fof(f3637,plain,
! [X8,X9] :
( empty_set = X9
| ~ ordinal(X8)
| ~ in(X8,omega)
| in(sK285(X9),X9)
| element(sK284,powerset(powerset(sK283)))
| ~ element(X9,powerset(powerset(X8))) ),
inference(cnf_transformation,[],[f2210]) ).
fof(f5705,plain,
( spl578_5
| spl578_12
| spl578_14
| spl578_6 ),
inference(avatar_split_clause,[],[f4932,f5566,f5624,f5609,f5563]) ).
fof(f4932,plain,
! [X11,X18,X12] :
( sP538(sK534)
| ~ element(X12,powerset(powerset(X11)))
| ~ in(X11,sK533)
| sP536(sK532)
| ~ ordinal(X18)
| ~ in(X18,omega)
| sP537(X18)
| ~ ordinal(X11)
| ~ in(X11,omega)
| in(sK545(X12),X12)
| empty_set = X12 ),
inference(cnf_transformation,[],[f1895]) ).
fof(f5704,plain,
( spl578_4
| spl578_6
| spl578_16
| spl578_5 ),
inference(avatar_split_clause,[],[f4946,f5563,f5639,f5566,f5559]) ).
fof(f4946,plain,
! [X18,X16] :
( ~ in(X18,omega)
| ~ ordinal(X18)
| ~ in(X16,sK539)
| sP538(sK534)
| sP537(X18)
| sK544(X16) != X16
| ordinal(sK532) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f5698,plain,
( spl578_21
| spl578_1 ),
inference(avatar_split_clause,[],[f3634,f5542,f5696]) ).
fof(f3634,plain,
! [X2,X1,X8,X9] :
( ~ ordinal(X8)
| ~ element(X9,powerset(powerset(X8)))
| ~ in(X1,sK283)
| ~ ordinal(X1)
| in(sK285(X9),X9)
| empty_set = X9
| ~ in(X8,omega)
| empty_set = X2
| in(sK286(X2),X2)
| ~ in(X1,omega)
| ~ element(X2,powerset(powerset(X1))) ),
inference(cnf_transformation,[],[f2210]) ).
fof(f5688,plain,
( spl578_1
| spl578_20 ),
inference(avatar_split_clause,[],[f3630,f5686,f5542]) ).
fof(f3630,plain,
! [X8,X6,X9] :
( ~ in(X6,sK284)
| ~ in(X8,omega)
| sK287(X6) != X6
| ~ element(X9,powerset(powerset(X8)))
| in(sK285(X9),X9)
| ~ ordinal(X8)
| empty_set = X9 ),
inference(cnf_transformation,[],[f2210]) ).
fof(f5680,plain,
( spl578_18
| spl578_19 ),
inference(avatar_split_clause,[],[f3638,f5678,f5674]) ).
fof(f3638,plain,
! [X11,X8,X9] :
( sP288(X11,sK285(X9),X9)
| ~ ordinal(X8)
| ~ element(X9,powerset(powerset(X8)))
| empty_set = X9
| element(sK284,powerset(powerset(sK283)))
| ~ in(X8,omega) ),
inference(cnf_transformation,[],[f2210]) ).
fof(f5671,plain,
( spl578_17
| spl578_6
| spl578_12
| spl578_5 ),
inference(avatar_split_clause,[],[f4944,f5563,f5609,f5566,f5666]) ).
fof(f4944,plain,
! [X18,X16] :
( ~ in(X18,omega)
| sP536(sK532)
| sP538(sK534)
| ~ ordinal(X18)
| sP537(X18)
| ~ in(X16,sK539)
| subset(X16,sK544(X16)) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f5670,plain,
( spl578_3
| spl578_7
| spl578_5
| spl578_6 ),
inference(avatar_split_clause,[],[f5019,f5566,f5563,f5581,f5555]) ).
fof(f5019,plain,
! [X18] :
( sP538(sK534)
| ~ ordinal(X18)
| in(succ(sK532),omega)
| sP537(X18)
| ~ in(X18,omega)
| being_limit_ordinal(sK533) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f5668,plain,
( spl578_6
| spl578_17
| spl578_4
| spl578_5 ),
inference(avatar_split_clause,[],[f4947,f5563,f5559,f5666,f5566]) ).
fof(f4947,plain,
! [X18,X16] :
( ~ in(X18,omega)
| ~ ordinal(X18)
| ordinal(sK532)
| ~ in(X16,sK539)
| subset(X16,sK544(X16))
| sP538(sK534)
| sP537(X18) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f5650,plain,
( spl578_6
| spl578_5
| spl578_4
| spl578_14 ),
inference(avatar_split_clause,[],[f4933,f5624,f5559,f5563,f5566]) ).
fof(f4933,plain,
! [X11,X18,X12] :
( ~ in(X11,sK533)
| ordinal(sK532)
| ~ element(X12,powerset(powerset(X11)))
| ~ ordinal(X18)
| sP538(sK534)
| sP537(X18)
| ~ ordinal(X11)
| empty_set = X12
| ~ in(X18,omega)
| ~ in(X11,omega)
| in(sK545(X12),X12) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f5641,plain,
( spl578_6
| spl578_5
| spl578_10
| spl578_16 ),
inference(avatar_split_clause,[],[f4949,f5639,f5595,f5563,f5566]) ).
fof(f4949,plain,
! [X18,X16] :
( sK544(X16) != X16
| ~ in(X16,sK539)
| sP535(sK532)
| ~ in(X18,omega)
| sP537(X18)
| sP538(sK534)
| ~ ordinal(X18) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f5637,plain,
( spl578_5
| spl578_15
| spl578_4
| spl578_6 ),
inference(avatar_split_clause,[],[f5009,f5566,f5559,f5634,f5563]) ).
fof(f5009,plain,
! [X18] :
( sP538(sK534)
| ordinal(sK532)
| in(sK533,omega)
| ~ ordinal(X18)
| sP537(X18)
| ~ in(X18,omega) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f5626,plain,
( spl578_5
| spl578_6
| spl578_14
| spl578_7 ),
inference(avatar_split_clause,[],[f4931,f5581,f5624,f5566,f5563]) ).
fof(f4931,plain,
! [X11,X18,X12] :
( in(succ(sK532),omega)
| ~ in(X11,sK533)
| ~ ordinal(X11)
| sP538(sK534)
| ~ in(X11,omega)
| sP537(X18)
| ~ element(X12,powerset(powerset(X11)))
| ~ in(X18,omega)
| ~ ordinal(X18)
| in(sK545(X12),X12)
| empty_set = X12 ),
inference(cnf_transformation,[],[f1895]) ).
fof(f5616,plain,
( spl578_10
| spl578_5
| spl578_6
| spl578_13 ),
inference(avatar_split_clause,[],[f4922,f5614,f5566,f5563,f5595]) ).
fof(f4922,plain,
! [X11,X18,X14,X12] :
( ~ ordinal(X11)
| ~ in(X11,sK533)
| ~ in(X11,omega)
| sP538(sK534)
| ~ in(X18,omega)
| sP537(X18)
| ~ in(X14,X12)
| sP535(sK532)
| ~ element(X12,powerset(powerset(X11)))
| ~ ordinal(X18)
| ~ subset(sK545(X12),X14)
| sK545(X12) = X14
| empty_set = X12 ),
inference(cnf_transformation,[],[f1895]) ).
fof(f5612,plain,
( ~ spl578_11
| spl578_12
| spl578_6
| spl578_5 ),
inference(avatar_split_clause,[],[f5014,f5563,f5566,f5609,f5605]) ).
fof(f5014,plain,
! [X18] :
( ~ in(X18,omega)
| sP537(X18)
| sP538(sK534)
| sP536(sK532)
| empty_set != sK533
| ~ ordinal(X18) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f5598,plain,
( ~ spl578_9
| spl578_6
| spl578_10
| spl578_5 ),
inference(avatar_split_clause,[],[f4976,f5563,f5595,f5566,f5591]) ).
fof(f4976,plain,
! [X18] :
( ~ ordinal(X18)
| ~ in(X18,omega)
| sP535(sK532)
| sP538(sK534)
| empty_set != sK539
| sP537(X18) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f5587,plain,
( spl578_7
| spl578_8
| spl578_5
| spl578_6 ),
inference(avatar_split_clause,[],[f4939,f5566,f5563,f5585,f5581]) ).
fof(f4939,plain,
! [X18,X16] :
( sP538(sK534)
| ~ ordinal(X18)
| in(sK544(X16),sK539)
| sP537(X18)
| in(succ(sK532),omega)
| ~ in(X18,omega)
| ~ in(X16,sK539) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f5569,plain,
( spl578_3
| spl578_4
| spl578_5
| spl578_6 ),
inference(avatar_split_clause,[],[f5011,f5566,f5563,f5559,f5555]) ).
fof(f5011,plain,
! [X18] :
( sP538(sK534)
| ~ in(X18,omega)
| sP537(X18)
| ordinal(sK532)
| ~ ordinal(X18)
| being_limit_ordinal(sK533) ),
inference(cnf_transformation,[],[f1895]) ).
fof(f5547,plain,
( spl578_1
| spl578_2 ),
inference(avatar_split_clause,[],[f3624,f5545,f5542]) ).
fof(f3624,plain,
! [X2,X1,X8,X9,X4] :
( ~ ordinal(X1)
| ~ ordinal(X8)
| in(sK285(X9),X9)
| empty_set = X9
| ~ element(X2,powerset(powerset(X1)))
| ~ in(X1,sK283)
| ~ element(X9,powerset(powerset(X8)))
| ~ in(X4,X2)
| ~ subset(sK286(X2),X4)
| sK286(X2) = X4
| empty_set = X2
| ~ in(X8,omega)
| ~ in(X1,omega) ),
inference(cnf_transformation,[],[f2210]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU388+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 15:31:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.67/0.61 % (8004)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.67/0.63 % (8027)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.67/0.63 % (8003)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.67/0.64 % (8012)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.67/0.64 % (8011)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.67/0.65 % (8012)Instruction limit reached!
% 1.67/0.65 % (8012)------------------------------
% 1.67/0.65 % (8012)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.65 % (8020)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.67/0.66 % (8003)Instruction limit reached!
% 1.67/0.66 % (8003)------------------------------
% 1.67/0.66 % (8003)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.66 % (8003)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.66 % (8003)Termination reason: Unknown
% 1.67/0.66 % (8003)Termination phase: shuffling
% 1.67/0.66
% 1.67/0.66 % (8003)Memory used [KB]: 3070
% 1.67/0.66 % (8003)Time elapsed: 0.014 s
% 1.67/0.66 % (8003)Instructions burned: 15 (million)
% 1.67/0.66 % (8003)------------------------------
% 1.67/0.66 % (8003)------------------------------
% 1.67/0.67 % (8012)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.67 % (8012)Termination reason: Unknown
% 1.67/0.67 % (8012)Termination phase: Preprocessing 1
% 1.67/0.67
% 1.67/0.67 % (8012)Memory used [KB]: 2558
% 1.67/0.67 % (8012)Time elapsed: 0.006 s
% 1.67/0.67 % (8012)Instructions burned: 3 (million)
% 1.67/0.67 % (8012)------------------------------
% 1.67/0.67 % (8012)------------------------------
% 1.67/0.67 % (8019)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.67/0.68 % (8000)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.67/0.68 % (8013)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.67/0.68 % (8027)Instruction limit reached!
% 1.67/0.68 % (8027)------------------------------
% 1.67/0.68 % (8027)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.68 % (8027)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.68 % (8027)Termination reason: Unknown
% 1.67/0.68 % (8027)Termination phase: shuffling
% 1.67/0.68
% 1.67/0.68 % (8027)Memory used [KB]: 3837
% 1.67/0.68 % (8027)Time elapsed: 0.023 s
% 1.67/0.68 % (8027)Instructions burned: 24 (million)
% 1.67/0.68 % (8027)------------------------------
% 1.67/0.68 % (8027)------------------------------
% 1.67/0.68 % (8002)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.67/0.68 % (8013)Instruction limit reached!
% 1.67/0.68 % (8013)------------------------------
% 1.67/0.68 % (8013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.68 % (8001)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.67/0.68 % (8021)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 2.27/0.69 % (7999)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 2.27/0.69 % (8004)Instruction limit reached!
% 2.27/0.69 % (8004)------------------------------
% 2.27/0.69 % (8004)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.69 % (8004)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.69 % (8004)Termination reason: Unknown
% 2.27/0.69 % (8004)Termination phase: Preprocessing 3
% 2.27/0.69
% 2.27/0.69 % (8004)Memory used [KB]: 4477
% 2.27/0.69 % (8004)Time elapsed: 0.041 s
% 2.27/0.69 % (8004)Instructions burned: 39 (million)
% 2.27/0.69 % (8004)------------------------------
% 2.27/0.69 % (8004)------------------------------
% 2.27/0.69 % (8005)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 2.27/0.69 % (8026)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 2.27/0.70 % (8025)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 2.27/0.70 % (8015)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 2.27/0.70 % (7998)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 2.27/0.70 % (8018)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 2.27/0.70 % (8000)Instruction limit reached!
% 2.27/0.70 % (8000)------------------------------
% 2.27/0.70 % (8000)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.70 % (8000)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.70 % (8000)Termination reason: Unknown
% 2.27/0.70 % (8000)Termination phase: Preprocessing 1
% 2.27/0.70
% 2.27/0.70 % (8000)Memory used [KB]: 2558
% 2.27/0.70 % (8000)Time elapsed: 0.006 s
% 2.27/0.70 % (8000)Instructions burned: 3 (million)
% 2.27/0.70 % (8000)------------------------------
% 2.27/0.70 % (8000)------------------------------
% 2.27/0.70 % (8017)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 2.27/0.70 % (8007)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 2.27/0.70 % (8013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.70 % (8013)Termination reason: Unknown
% 2.27/0.70 % (8013)Termination phase: Preprocessing 1
% 2.27/0.70
% 2.27/0.70 % (8013)Memory used [KB]: 2814
% 2.27/0.70 % (8013)Time elapsed: 0.006 s
% 2.27/0.70 % (8013)Instructions burned: 7 (million)
% 2.27/0.70 % (8013)------------------------------
% 2.27/0.70 % (8013)------------------------------
% 2.27/0.70 % (8016)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.27/0.70 % (8016)Instruction limit reached!
% 2.27/0.70 % (8016)------------------------------
% 2.27/0.70 % (8016)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.70 % (8016)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.70 % (8016)Termination reason: Unknown
% 2.27/0.70 % (8016)Termination phase: shuffling
% 2.27/0.70
% 2.27/0.70 % (8016)Memory used [KB]: 2430
% 2.27/0.70 % (8016)Time elapsed: 0.003 s
% 2.27/0.70 % (8016)Instructions burned: 2 (million)
% 2.27/0.70 % (8016)------------------------------
% 2.27/0.70 % (8016)------------------------------
% 2.27/0.71 % (8008)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 2.27/0.71 % (8023)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 2.27/0.71 % (8010)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 2.27/0.71 % (8009)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 2.27/0.71 % (8024)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.27/0.71 % (8002)Instruction limit reached!
% 2.27/0.71 % (8002)------------------------------
% 2.27/0.71 % (8002)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.71 % (8002)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.71 % (8002)Termination reason: Unknown
% 2.27/0.71 % (8002)Termination phase: shuffling
% 2.27/0.71
% 2.27/0.71 % (8002)Memory used [KB]: 2942
% 2.27/0.71 % (8002)Time elapsed: 0.014 s
% 2.27/0.71 % (8002)Instructions burned: 14 (million)
% 2.27/0.71 % (8002)------------------------------
% 2.27/0.71 % (8002)------------------------------
% 2.27/0.72 % (7999)Instruction limit reached!
% 2.27/0.72 % (7999)------------------------------
% 2.27/0.72 % (7999)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.72 % (7999)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.72 % (7999)Termination reason: Unknown
% 2.27/0.72 % (7999)Termination phase: Preprocessing 1
% 2.27/0.72
% 2.27/0.72 % (7999)Memory used [KB]: 2942
% 2.27/0.72 % (7999)Time elapsed: 0.012 s
% 2.27/0.72 % (7999)Instructions burned: 13 (million)
% 2.27/0.72 % (7999)------------------------------
% 2.27/0.72 % (7999)------------------------------
% 2.27/0.72 % (8026)Instruction limit reached!
% 2.27/0.72 % (8026)------------------------------
% 2.27/0.72 % (8026)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.72 % (8026)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.72 % (8026)Termination reason: Unknown
% 2.27/0.72 % (8026)Termination phase: Preprocessing 1
% 2.27/0.72
% 2.27/0.72 % (8026)Memory used [KB]: 2814
% 2.27/0.72 % (8026)Time elapsed: 0.009 s
% 2.27/0.72 % (8026)Instructions burned: 8 (million)
% 2.27/0.72 % (8026)------------------------------
% 2.27/0.72 % (8026)------------------------------
% 2.27/0.72 % (8014)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.27/0.72 % (8015)Instruction limit reached!
% 2.27/0.72 % (8015)------------------------------
% 2.27/0.72 % (8015)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.72 % (8015)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.72 % (8015)Termination reason: Unknown
% 2.27/0.72 % (8015)Termination phase: shuffling
% 2.27/0.72
% 2.27/0.72 % (8015)Memory used [KB]: 2558
% 2.27/0.72 % (8015)Time elapsed: 0.004 s
% 2.27/0.72 % (8015)Instructions burned: 3 (million)
% 2.27/0.72 % (8015)------------------------------
% 2.27/0.72 % (8015)------------------------------
% 2.27/0.72 % (8022)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.27/0.73 % (8009)Instruction limit reached!
% 2.27/0.73 % (8009)------------------------------
% 2.27/0.73 % (8009)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.73 % (8009)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.73 % (8009)Termination reason: Unknown
% 2.27/0.73 % (8011)Instruction limit reached!
% 2.27/0.73 % (8011)------------------------------
% 2.27/0.73 % (8011)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.73 % (8009)Termination phase: SInE selection
% 2.27/0.73
% 2.27/0.73 % (8011)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.73 % (8011)Termination reason: Unknown
% 2.27/0.73 % (8009)Memory used [KB]: 2686
% 2.27/0.73 % (8011)Termination phase: Preprocessing 3
% 2.27/0.73 % (8009)Time elapsed: 0.009 s
% 2.27/0.73
% 2.27/0.73 % (8009)Instructions burned: 7 (million)
% 2.27/0.73 % (8009)------------------------------
% 2.27/0.73 % (8009)------------------------------
% 2.27/0.73 % (8011)Memory used [KB]: 5245
% 2.27/0.73 % (8011)Time elapsed: 0.040 s
% 2.27/0.73 % (8011)Instructions burned: 51 (million)
% 2.27/0.73 % (8011)------------------------------
% 2.27/0.73 % (8011)------------------------------
% 2.27/0.73 % (8006)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 2.27/0.75 % (8017)Instruction limit reached!
% 2.27/0.75 % (8017)------------------------------
% 2.27/0.75 % (8017)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.75 % (8017)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.75 % (8017)Termination reason: Unknown
% 2.27/0.75 % (8017)Termination phase: Preprocessing 1
% 2.27/0.75
% 2.27/0.75 % (8017)Memory used [KB]: 2686
% 2.27/0.75 % (8017)Time elapsed: 0.012 s
% 2.27/0.75 % (8017)Instructions burned: 11 (million)
% 2.27/0.75 % (8017)------------------------------
% 2.27/0.75 % (8017)------------------------------
% 2.27/0.75 % (8008)Instruction limit reached!
% 2.27/0.75 % (8008)------------------------------
% 2.27/0.75 % (8008)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.75 % (8008)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.75 % (8008)Termination reason: Unknown
% 2.27/0.75 % (8008)Termination phase: Preprocessing 1
% 2.27/0.75
% 2.27/0.75 % (8008)Memory used [KB]: 2942
% 2.27/0.75 % (8008)Time elapsed: 0.013 s
% 2.27/0.75 % (8008)Instructions burned: 12 (million)
% 2.27/0.75 % (8008)------------------------------
% 2.27/0.75 % (8008)------------------------------
% 2.27/0.75 % (8020)Instruction limit reached!
% 2.27/0.75 % (8020)------------------------------
% 2.27/0.75 % (8020)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.75 % (8020)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.75 % (8020)Termination reason: Unknown
% 2.27/0.75 % (8020)Termination phase: Property scanning
% 2.27/0.75
% 2.27/0.75 % (8020)Memory used [KB]: 6524
% 2.27/0.75 % (8020)Time elapsed: 0.093 s
% 2.27/0.75 % (8020)Instructions burned: 82 (million)
% 2.27/0.75 % (8020)------------------------------
% 2.27/0.75 % (8020)------------------------------
% 2.27/0.75 % (8010)Instruction limit reached!
% 2.27/0.75 % (8010)------------------------------
% 2.27/0.75 % (8010)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.75 % (8010)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.75 % (8010)Termination reason: Unknown
% 2.27/0.75 % (8010)Termination phase: shuffling
% 2.27/0.75
% 2.27/0.75 % (8010)Memory used [KB]: 2942
% 2.27/0.75 % (8010)Time elapsed: 0.016 s
% 2.27/0.75 % (8010)Instructions burned: 16 (million)
% 2.27/0.75 % (8010)------------------------------
% 2.27/0.75 % (8010)------------------------------
% 2.86/0.77 % (8025)Instruction limit reached!
% 2.86/0.77 % (8025)------------------------------
% 2.86/0.77 % (8025)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.86/0.77 % (8025)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.86/0.77 % (8025)Termination reason: Unknown
% 2.86/0.77 % (8025)Termination phase: Naming
% 2.86/0.77
% 2.86/0.77 % (8025)Memory used [KB]: 3965
% 2.86/0.77 % (8025)Time elapsed: 0.023 s
% 2.86/0.77 % (8025)Instructions burned: 26 (million)
% 2.86/0.77 % (8025)------------------------------
% 2.86/0.77 % (8025)------------------------------
% 2.86/0.77 % (8005)Instruction limit reached!
% 2.86/0.77 % (8005)------------------------------
% 2.86/0.77 % (8005)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.86/0.77 % (8005)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.86/0.77 % (8005)Termination reason: Unknown
% 2.86/0.77 % (8005)Termination phase: Preprocessing 3
% 2.86/0.77
% 2.86/0.77 % (8005)Memory used [KB]: 4861
% 2.86/0.77 % (8005)Time elapsed: 0.033 s
% 2.86/0.77 % (8005)Instructions burned: 40 (million)
% 2.86/0.77 % (8005)------------------------------
% 2.86/0.77 % (8005)------------------------------
% 2.86/0.77 % (8018)Instruction limit reached!
% 2.86/0.77 % (8018)------------------------------
% 2.86/0.77 % (8018)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.86/0.77 % (8018)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.86/0.77 % (8018)Termination reason: Unknown
% 2.86/0.77 % (8018)Termination phase: NewCNF
% 2.86/0.77
% 2.86/0.77 % (8018)Memory used [KB]: 4093
% 2.86/0.77 % (8018)Time elapsed: 0.027 s
% 2.86/0.77 % (8018)Instructions burned: 31 (million)
% 2.86/0.77 % (8018)------------------------------
% 2.86/0.77 % (8018)------------------------------
% 2.86/0.78 % (8007)Instruction limit reached!
% 2.86/0.78 % (8007)------------------------------
% 2.86/0.78 % (8007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.86/0.78 % (8007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.86/0.78 % (8007)Termination reason: Unknown
% 2.86/0.78 % (8007)Termination phase: Preprocessing 3
% 2.86/0.78
% 2.86/0.78 % (8007)Memory used [KB]: 4221
% 2.86/0.78 % (8007)Time elapsed: 0.027 s
% 2.86/0.78 % (8007)Instructions burned: 33 (million)
% 2.86/0.78 % (8007)------------------------------
% 2.86/0.78 % (8007)------------------------------
% 2.94/0.79 % (8001)Instruction limit reached!
% 2.94/0.79 % (8001)------------------------------
% 2.94/0.79 % (8001)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.94/0.79 % (8001)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.94/0.79 % (8001)Termination reason: Unknown
% 2.94/0.79 % (8001)Termination phase: Property scanning
% 2.94/0.79
% 2.94/0.79 % (8001)Memory used [KB]: 5628
% 2.94/0.79 % (8001)Time elapsed: 0.041 s
% 2.94/0.79 % (8001)Instructions burned: 53 (million)
% 2.94/0.79 % (8001)------------------------------
% 2.94/0.79 % (8001)------------------------------
% 2.94/0.79 % (8021)Instruction limit reached!
% 2.94/0.79 % (8021)------------------------------
% 2.94/0.79 % (8021)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.94/0.79 % (8021)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.94/0.79 % (8021)Termination reason: Unknown
% 2.94/0.79 % (8021)Termination phase: Preprocessing 3
% 2.94/0.79
% 2.94/0.79 % (8021)Memory used [KB]: 5245
% 2.94/0.79 % (8021)Time elapsed: 0.034 s
% 2.94/0.79 % (8021)Instructions burned: 46 (million)
% 2.94/0.79 % (8021)------------------------------
% 2.94/0.79 % (8021)------------------------------
% 2.94/0.80 % (8066)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/69Mi)
% 3.05/0.83 % (8022)Instruction limit reached!
% 3.05/0.83 % (8022)------------------------------
% 3.05/0.83 % (8022)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.05/0.83 % (8014)Instruction limit reached!
% 3.05/0.83 % (8014)------------------------------
% 3.05/0.83 % (8014)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.05/0.84 % (8006)Instruction limit reached!
% 3.05/0.84 % (8006)------------------------------
% 3.05/0.84 % (8006)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.05/0.84 % (8014)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.05/0.84 % (8014)Termination reason: Unknown
% 3.05/0.84 % (8014)Termination phase: Preprocessing 3
% 3.05/0.84
% 3.05/0.84 % (8014)Memory used [KB]: 5500
% 3.05/0.84 % (8014)Time elapsed: 0.034 s
% 3.05/0.84 % (8014)Instructions burned: 52 (million)
% 3.05/0.84 % (8014)------------------------------
% 3.05/0.84 % (8014)------------------------------
% 3.05/0.84 % (8065)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/87Mi)
% 3.05/0.84 % (8061)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/92Mi)
% 3.05/0.84 % (8022)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.05/0.84 % (8022)Termination reason: Unknown
% 3.05/0.84 % (8022)Termination phase: Preprocessing 3
% 3.05/0.84
% 3.05/0.84 % (8022)Memory used [KB]: 5117
% 3.05/0.84 % (8022)Time elapsed: 0.035 s
% 3.05/0.84 % (8022)Instructions burned: 50 (million)
% 3.05/0.84 % (8022)------------------------------
% 3.05/0.84 % (8022)------------------------------
% 3.05/0.84 % (8006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.05/0.84 % (8006)Termination reason: Unknown
% 3.05/0.84 % (8006)Termination phase: NewCNF
% 3.05/0.84
% 3.05/0.84 % (8006)Memory used [KB]: 5373
% 3.05/0.84 % (8006)Time elapsed: 0.033 s
% 3.05/0.84 % (8006)Instructions burned: 49 (million)
% 3.05/0.84 % (8006)------------------------------
% 3.05/0.84 % (8006)------------------------------
% 3.05/0.85 % (8068)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/56Mi)
% 3.05/0.86 % (8062)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/7Mi)
% 3.05/0.86 % (8062)Instruction limit reached!
% 3.05/0.86 % (8062)------------------------------
% 3.05/0.86 % (8062)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.05/0.86 % (8062)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.05/0.86 % (8062)Termination reason: Unknown
% 3.05/0.86 % (8062)Termination phase: Preprocessing 1
% 3.05/0.86
% 3.05/0.86 % (8062)Memory used [KB]: 2558
% 3.05/0.86 % (8062)Time elapsed: 0.007 s
% 3.05/0.86 % (8062)Instructions burned: 7 (million)
% 3.05/0.86 % (8062)------------------------------
% 3.05/0.86 % (8062)------------------------------
% 3.05/0.87 % (8070)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/42Mi)
% 3.05/0.87 % (8019)Instruction limit reached!
% 3.05/0.87 % (8019)------------------------------
% 3.05/0.87 % (8019)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.05/0.87 % (8069)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/141Mi)
% 3.05/0.87 % (8019)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.05/0.87 % (8019)Termination reason: Unknown
% 3.05/0.87 % (8019)Termination phase: shuffling
% 3.05/0.87
% 3.05/0.87 % (8019)Memory used [KB]: 6396
% 3.05/0.87 % (8019)Time elapsed: 0.063 s
% 3.05/0.87 % (8019)Instructions burned: 100 (million)
% 3.05/0.87 % (8019)------------------------------
% 3.05/0.87 % (8019)------------------------------
% 3.05/0.87 % (8072)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 3.05/0.88 % (8071)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/31Mi)
% 3.05/0.88 % (8074)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/131Mi)
% 3.05/0.88 % (8080)dis+1011_5:1_drc=off:kws=inv_arity_squared:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:s2a=on:s2at=2.1:urr=ec_only:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/32Mi)
% 3.05/0.88 % (8073)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/84Mi)
% 3.05/0.88 % (8067)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/107Mi)
% 3.05/0.88 % (8077)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/86Mi)
% 3.05/0.88 % (8083)ott+10_1:1_ep=R:sd=1:sos=all:ss=axioms:i=66:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/66Mi)
% 3.05/0.89 % (8078)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/15Mi)
% 3.05/0.89 % (8076)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/109Mi)
% 3.05/0.89 % (8075)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/93Mi)
% 3.05/0.89 % (8023)Instruction limit reached!
% 3.05/0.89 % (8023)------------------------------
% 3.05/0.89 % (8023)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.05/0.89 % (8023)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.05/0.89 % (8023)Termination reason: Unknown
% 3.05/0.89 % (8023)Termination phase: Equality resolution with deletion
% 3.05/0.89
% 3.05/0.89 % (8023)Memory used [KB]: 6524
% 3.05/0.89 % (8023)Time elapsed: 0.057 s
% 3.05/0.89 % (8023)Instructions burned: 95 (million)
% 3.05/0.89 % (8023)------------------------------
% 3.05/0.89 % (8023)------------------------------
% 3.05/0.90 % (8024)Instruction limit reached!
% 3.05/0.90 % (8024)------------------------------
% 3.05/0.90 % (8024)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.05/0.90 % (8024)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.05/0.90 % (8024)Termination reason: Unknown
% 3.05/0.90 % (8024)Termination phase: Property scanning
% 3.05/0.90
% 3.05/0.90 % (8024)Memory used [KB]: 6524
% 3.05/0.90 % (8024)Time elapsed: 0.056 s
% 3.05/0.90 % (8024)Instructions burned: 99 (million)
% 3.05/0.90 % (8024)------------------------------
% 3.05/0.90 % (8024)------------------------------
% 3.05/0.90 % (8084)ott+10_4:7_awrs=converge:bd=preordered:flr=on:nwc=10.0:sos=on:sp=reverse_frequency:to=lpo:urr=on:i=19:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/19Mi)
% 3.05/0.90 % (8066)Instruction limit reached!
% 3.05/0.90 % (8066)------------------------------
% 3.05/0.90 % (8066)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.05/0.90 % (8066)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.05/0.90 % (8066)Termination reason: Unknown
% 3.05/0.90 % (8066)Termination phase: Property scanning
% 3.05/0.90
% 3.05/0.90 % (8066)Memory used [KB]: 6140
% 3.05/0.90 % (8066)Time elapsed: 0.046 s
% 3.05/0.90 % (8066)Instructions burned: 70 (million)
% 3.05/0.90 % (8066)------------------------------
% 3.05/0.90 % (8066)------------------------------
% 3.32/0.91 % (8078)Instruction limit reached!
% 3.32/0.91 % (8078)------------------------------
% 3.32/0.91 % (8078)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.32/0.91 % (8078)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.32/0.91 % (8078)Termination reason: Unknown
% 3.32/0.91 % (8078)Termination phase: Preprocessing 2
% 3.32/0.91
% 3.32/0.91 % (8078)Memory used [KB]: 3454
% 3.32/0.91 % (8078)Time elapsed: 0.011 s
% 3.32/0.91 % (8078)Instructions burned: 15 (million)
% 3.32/0.91 % (8078)------------------------------
% 3.32/0.91 % (8078)------------------------------
% 3.32/0.92 % (8085)dis+1002_1:1_ins=1:sd=1:sos=on:ss=axioms:to=lpo:i=341:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/341Mi)
% 3.32/0.92 % (8068)Instruction limit reached!
% 3.32/0.92 % (8068)------------------------------
% 3.32/0.92 % (8068)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.32/0.92 % (8068)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.32/0.92 % (8068)Termination reason: Unknown
% 3.32/0.92 % (8068)Termination phase: Preprocessing 3
% 3.32/0.92
% 3.32/0.92 % (8068)Memory used [KB]: 5245
% 3.32/0.92 % (8068)Time elapsed: 0.047 s
% 3.32/0.92 % (8068)Instructions burned: 56 (million)
% 3.32/0.92 % (8082)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/149Mi)
% 3.32/0.92 % (8068)------------------------------
% 3.32/0.92 % (8068)------------------------------
% 3.32/0.94 % (8071)Instruction limit reached!
% 3.32/0.94 % (8071)------------------------------
% 3.32/0.94 % (8071)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.32/0.94 % (8071)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.32/0.94 % (8071)Termination reason: Unknown
% 3.32/0.94 % (8071)Termination phase: Preprocessing 3
% 3.32/0.94
% 3.32/0.94 % (8071)Memory used [KB]: 4605
% 3.32/0.94 % (8071)Time elapsed: 0.019 s
% 3.32/0.94 % (8071)Instructions burned: 33 (million)
% 3.32/0.94 % (8071)------------------------------
% 3.32/0.94 % (8071)------------------------------
% 3.32/0.94 % (8104)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/21Mi)
% 3.32/0.94 % (8080)Instruction limit reached!
% 3.32/0.94 % (8080)------------------------------
% 3.32/0.94 % (8080)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.32/0.94 % (8080)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.32/0.94 % (8080)Termination reason: Unknown
% 3.32/0.94 % (8080)Termination phase: Preprocessing 3
% 3.32/0.94
% 3.32/0.94 % (8080)Memory used [KB]: 4221
% 3.32/0.94 % (8080)Time elapsed: 0.020 s
% 3.32/0.94 % (8080)Instructions burned: 33 (million)
% 3.32/0.94 % (8080)------------------------------
% 3.32/0.94 % (8080)------------------------------
% 3.32/0.94 % (8070)Instruction limit reached!
% 3.32/0.94 % (8070)------------------------------
% 3.32/0.94 % (8070)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.32/0.94 % (8070)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.32/0.94 % (8070)Termination reason: Unknown
% 3.32/0.94 % (8070)Termination phase: Preprocessing 3
% 3.32/0.94
% 3.32/0.94 % (8070)Memory used [KB]: 5245
% 3.32/0.94 % (8070)Time elapsed: 0.024 s
% 3.32/0.94 % (8070)Instructions burned: 44 (million)
% 3.32/0.94 % (8070)------------------------------
% 3.32/0.94 % (8070)------------------------------
% 3.32/0.94 % (8089)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/10Mi)
% 3.32/0.95 % (8086)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=237:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/237Mi)
% 3.32/0.95 % (8103)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=472:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/472Mi)
% 3.32/0.95 % (8084)Instruction limit reached!
% 3.32/0.95 % (8084)------------------------------
% 3.32/0.95 % (8084)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.32/0.95 % (8084)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.32/0.95 % (8084)Termination reason: Unknown
% 3.32/0.95 % (8084)Termination phase: Naming
% 3.32/0.95
% 3.32/0.95 % (8084)Memory used [KB]: 3837
% 3.32/0.95 % (8084)Time elapsed: 0.012 s
% 3.32/0.95 % (8084)Instructions burned: 19 (million)
% 3.32/0.95 % (8084)------------------------------
% 3.32/0.95 % (8084)------------------------------
% 3.32/0.96 % (8107)lrs+2_1:1_ep=R:fde=none:lcm=reverse:nwc=5.0:sos=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/97Mi)
% 3.32/0.96 % (8083)Instruction limit reached!
% 3.32/0.96 % (8083)------------------------------
% 3.32/0.96 % (8083)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.32/0.96 % (8083)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.32/0.96 % (8083)Termination reason: Unknown
% 3.32/0.96 % (8083)Termination phase: Function definition elimination
% 3.32/0.96
% 3.32/0.96 % (8083)Memory used [KB]: 5500
% 3.32/0.96 % (8083)Time elapsed: 0.057 s
% 3.32/0.96 % (8083)Instructions burned: 67 (million)
% 3.32/0.96 % (8083)------------------------------
% 3.32/0.96 % (8083)------------------------------
% 3.32/0.96 % (8089)Instruction limit reached!
% 3.32/0.96 % (8089)------------------------------
% 3.32/0.96 % (8089)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.32/0.96 % (8089)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.32/0.96 % (8089)Termination reason: Unknown
% 3.32/0.96 % (8089)Termination phase: Preprocessing 1
% 3.32/0.96
% 3.32/0.96 % (8089)Memory used [KB]: 2814
% 3.32/0.96 % (8089)Time elapsed: 0.008 s
% 3.32/0.96 % (8089)Instructions burned: 11 (million)
% 3.32/0.96 % (8089)------------------------------
% 3.32/0.96 % (8089)------------------------------
% 3.32/0.97 % (8121)dis+1011_1:1_nwc=3.0:sd=1:spb=goal_then_units:ss=included:to=lpo:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/138Mi)
% 3.32/0.97 % (8104)Instruction limit reached!
% 3.32/0.97 % (8104)------------------------------
% 3.32/0.97 % (8104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.32/0.97 % (8104)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.32/0.97 % (8104)Termination reason: Unknown
% 3.32/0.97 % (8104)Termination phase: Preprocessing 3
% 3.32/0.97
% 3.32/0.97 % (8104)Memory used [KB]: 3709
% 3.32/0.97 % (8104)Time elapsed: 0.012 s
% 3.32/0.97 % (8104)Instructions burned: 21 (million)
% 3.32/0.97 % (8104)------------------------------
% 3.32/0.97 % (8104)------------------------------
% 3.32/0.97 % (8061)Instruction limit reached!
% 3.32/0.97 % (8061)------------------------------
% 3.32/0.97 % (8061)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.32/0.97 % (8061)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.32/0.97 % (8061)Termination reason: Unknown
% 3.32/0.97 % (8061)Termination phase: Property scanning
% 3.32/0.97
% 3.32/0.97 % (8061)Memory used [KB]: 5884
% 3.32/0.97 % (8061)Time elapsed: 0.046 s
% 3.32/0.97 % (8061)Instructions burned: 92 (million)
% 3.32/0.97 % (8061)------------------------------
% 3.32/0.97 % (8061)------------------------------
% 3.32/0.97 % (8072)Instruction limit reached!
% 3.32/0.97 % (8072)------------------------------
% 3.32/0.97 % (8072)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.32/0.97 % (8072)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.32/0.97 % (8072)Termination reason: Unknown
% 3.32/0.97 % (8072)Termination phase: Property scanning
% 3.32/0.97
% 3.32/0.97 % (8072)Memory used [KB]: 6140
% 3.32/0.97 % (8072)Time elapsed: 0.035 s
% 3.32/0.97 % (8072)Instructions burned: 69 (million)
% 3.32/0.97 % (8072)------------------------------
% 3.32/0.97 % (8072)------------------------------
% 3.32/0.97 % (8065)Instruction limit reached!
% 3.32/0.97 % (8065)------------------------------
% 3.32/0.97 % (8065)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.89/0.98 % (8065)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.89/0.98 % (8065)Termination reason: Unknown
% 3.89/0.98 % (8065)Termination phase: Property scanning
% 3.89/0.98
% 3.89/0.98 % (8065)Memory used [KB]: 5884
% 3.89/0.98 % (8065)Time elapsed: 0.044 s
% 3.89/0.98 % (8065)Instructions burned: 90 (million)
% 3.89/0.98 % (8065)------------------------------
% 3.89/0.98 % (8065)------------------------------
% 3.89/0.99 % (8117)lrs+10_1:1_av=off:sd=2:sos=on:ss=axioms:st=1.5:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/21Mi)
% 3.89/1.01 % (8134)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=393:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/393Mi)
% 3.89/1.01 % (8073)Instruction limit reached!
% 3.89/1.01 % (8073)------------------------------
% 3.89/1.01 % (8073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.89/1.01 % (8073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.89/1.01 % (8073)Termination reason: Unknown
% 3.89/1.01 % (8073)Termination phase: Function definition elimination
% 3.89/1.01
% 3.89/1.01 % (8073)Memory used [KB]: 6268
% 3.89/1.01 % (8073)Time elapsed: 0.040 s
% 3.89/1.01 % (8073)Instructions burned: 85 (million)
% 3.89/1.01 % (8073)------------------------------
% 3.89/1.01 % (8073)------------------------------
% 3.89/1.02 % (8077)Instruction limit reached!
% 3.89/1.02 % (8077)------------------------------
% 3.89/1.02 % (8077)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.89/1.02 % (8077)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.89/1.02 % (8077)Termination reason: Unknown
% 3.89/1.02 % (8077)Termination phase: Function definition elimination
% 3.89/1.02
% 3.89/1.02 % (8077)Memory used [KB]: 6652
% 3.89/1.02 % (8077)Time elapsed: 0.049 s
% 3.89/1.02 % (8077)Instructions burned: 87 (million)
% 3.89/1.02 % (8077)------------------------------
% 3.89/1.02 % (8077)------------------------------
% 3.89/1.02 % (8140)dis+1004_1:1_br=off:fsd=on:urr=ec_only:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/93Mi)
% 3.89/1.02 % (8067)Instruction limit reached!
% 3.89/1.02 % (8067)------------------------------
% 3.89/1.02 % (8067)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.89/1.03 % (8075)Instruction limit reached!
% 3.89/1.03 % (8075)------------------------------
% 3.89/1.03 % (8075)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.89/1.03 % (8150)lrs+1010_1:1_sd=1:sos=on:sp=frequency:ss=included:to=lpo:i=221:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/221Mi)
% 3.89/1.03 % (8067)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.89/1.03 % (8067)Termination reason: Unknown
% 3.89/1.03 % (8067)Termination phase: Property scanning
% 3.89/1.03
% 3.89/1.03 % (8067)Memory used [KB]: 6268
% 3.89/1.03 % (8067)Time elapsed: 0.049 s
% 3.89/1.03 % (8067)Instructions burned: 107 (million)
% 3.89/1.03 % (8067)------------------------------
% 3.89/1.03 % (8067)------------------------------
% 3.89/1.03 % (8139)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/488Mi)
% 3.89/1.04 % (8146)lrs+10_1:8_ep=R:nwc=5.0:rnwc=on:sos=on:urr=on:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/23Mi)
% 3.89/1.04 % (8156)lrs+35_1:2_av=off:bsr=unit_only:flr=on:lcm=predicate:sp=frequency:i=222:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/222Mi)
% 3.89/1.04 % (8075)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.89/1.04 % (8075)Termination reason: Unknown
% 3.89/1.04 % (8075)Termination phase: Function definition elimination
% 3.89/1.04
% 3.89/1.04 % (8075)Memory used [KB]: 6396
% 3.89/1.04 % (8075)Time elapsed: 0.044 s
% 3.89/1.04 % (8075)Instructions burned: 93 (million)
% 3.89/1.04 % (8075)------------------------------
% 3.89/1.04 % (8075)------------------------------
% 3.89/1.05 % (8117)Instruction limit reached!
% 3.89/1.05 % (8117)------------------------------
% 3.89/1.05 % (8117)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.89/1.05 % (8117)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.89/1.05 % (8117)Termination reason: Unknown
% 3.89/1.05 % (8117)Termination phase: Preprocessing 2
% 3.89/1.05
% 3.89/1.05 % (8117)Memory used [KB]: 3582
% 3.89/1.05 % (8117)Time elapsed: 0.012 s
% 3.89/1.05 % (8117)Instructions burned: 21 (million)
% 3.89/1.05 % (8117)------------------------------
% 3.89/1.05 % (8117)------------------------------
% 3.89/1.06 % (8166)lrs+11_1:32_awrs=converge:awrsf=32:bd=preordered:drc=off:fd=preordered:flr=on:to=lpo:i=377:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/377Mi)
% 3.89/1.06 % (8076)Instruction limit reached!
% 3.89/1.06 % (8076)------------------------------
% 3.89/1.06 % (8076)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.89/1.06 % (8076)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.89/1.06 % (8076)Termination reason: Unknown
% 3.89/1.06 % (8076)Termination phase: Property scanning
% 3.89/1.06
% 3.89/1.06 % (8076)Memory used [KB]: 6268
% 3.89/1.06 % (8076)Time elapsed: 0.051 s
% 3.89/1.06 % (8076)Instructions burned: 110 (million)
% 3.89/1.06 % (8076)------------------------------
% 3.89/1.06 % (8076)------------------------------
% 3.89/1.06 % (8157)dis+1003_1:128_atotf=0.3:bce=on:newcnf=on:urr=on:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/86Mi)
% 3.89/1.06 % (8159)dis+1011_1:1_aac=none:bs=unit_only:ep=RS:gsp=on:nwc=5.0:rnwc=on:s2a=on:s2at=3.0:slsq=on:slsqc=2:slsqr=1,8:i=79:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/79Mi)
% 3.89/1.07 % (8074)Instruction limit reached!
% 3.89/1.07 % (8074)------------------------------
% 3.89/1.07 % (8074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.89/1.07 % (8074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.89/1.07 % (8074)Termination reason: Unknown
% 3.89/1.07 % (8074)Termination phase: Saturation
% 3.89/1.07
% 3.89/1.07 % (8074)Memory used [KB]: 11001
% 3.89/1.07 % (8074)Time elapsed: 0.062 s
% 3.89/1.07 % (8074)Instructions burned: 131 (million)
% 3.89/1.07 % (8074)------------------------------
% 3.89/1.07 % (8074)------------------------------
% 4.47/1.07 % (8146)Instruction limit reached!
% 4.47/1.07 % (8146)------------------------------
% 4.47/1.07 % (8146)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.47/1.07 % (8146)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.47/1.07 % (8146)Termination reason: Unknown
% 4.47/1.07 % (8146)Termination phase: Preprocessing 3
% 4.47/1.07
% 4.47/1.07 % (8146)Memory used [KB]: 4093
% 4.47/1.07 % (8146)Time elapsed: 0.015 s
% 4.47/1.07 % (8146)Instructions burned: 25 (million)
% 4.47/1.07 % (8146)------------------------------
% 4.47/1.07 % (8146)------------------------------
% 4.47/1.08 % (8175)lrs+10_1:64_plsq=on:plsqr=32,1:sac=on:sos=all:ss=axioms:st=5.0:i=118:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/118Mi)
% 4.47/1.08 % (8184)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/8Mi)
% 4.59/1.09 % (8069)Instruction limit reached!
% 4.59/1.09 % (8069)------------------------------
% 4.59/1.09 % (8069)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.59/1.09 % (8069)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.59/1.09 % (8069)Termination reason: Unknown
% 4.59/1.09 % (8069)Termination phase: Saturation
% 4.59/1.09
% 4.59/1.09 % (8069)Memory used [KB]: 12025
% 4.59/1.09 % (8069)Time elapsed: 0.071 s
% 4.59/1.09 % (8069)Instructions burned: 142 (million)
% 4.59/1.09 % (8069)------------------------------
% 4.59/1.09 % (8069)------------------------------
% 4.59/1.09 % (8107)Instruction limit reached!
% 4.59/1.09 % (8107)------------------------------
% 4.59/1.09 % (8107)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.59/1.09 % (8193)lrs+1002_1:1_av=off:gs=on:gsp=on:irw=on:nwc=2.0:sd=2:sos=on:ss=axioms:stl=30:urr=on:i=390:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/390Mi)
% 4.59/1.10 % (8182)lrs+1011_1:4_av=off:bd=off:drc=off:ins=1:nwc=2.0:spb=goal:tgt=full:to=lpo:i=113:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/113Mi)
% 4.59/1.10 % (8082)Instruction limit reached!
% 4.59/1.10 % (8082)------------------------------
% 4.59/1.10 % (8082)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.59/1.11 % (8178)ins+10_1:1_br=off:gs=on:igrr=1/32:igs=34:igwr=on:nm=0:sp=const_min:uhcvi=on:updr=off:urr=ec_only:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/34Mi)
% 4.59/1.11 % (8082)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.59/1.11 % (8082)Termination reason: Unknown
% 4.59/1.11 % (8082)Termination phase: Property scanning
% 4.59/1.11
% 4.59/1.11 % (8082)Memory used [KB]: 6780
% 4.59/1.11 % (8107)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.59/1.11 % (8107)Termination reason: Unknown
% 4.59/1.11 % (8107)Termination phase: Property scanning
% 4.59/1.11
% 4.59/1.11 % (8107)Memory used [KB]: 6140
% 4.59/1.11 % (8107)Time elapsed: 0.049 s
% 4.59/1.11 % (8107)Instructions burned: 100 (million)
% 4.59/1.11 % (8107)------------------------------
% 4.59/1.11 % (8107)------------------------------
% 4.59/1.11 % (8082)Time elapsed: 0.064 s
% 4.59/1.11 % (8082)Instructions burned: 150 (million)
% 4.59/1.11 % (8082)------------------------------
% 4.59/1.11 % (8082)------------------------------
% 4.59/1.11 % (8184)Instruction limit reached!
% 4.59/1.11 % (8184)------------------------------
% 4.59/1.11 % (8184)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.59/1.12 % (8184)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.59/1.12 % (8184)Termination reason: Unknown
% 4.59/1.12 % (8184)Termination phase: Preprocessing 1
% 4.59/1.12
% 4.59/1.12 % (8184)Memory used [KB]: 2814
% 4.59/1.12 % (8184)Time elapsed: 0.006 s
% 4.59/1.12 % (8184)Instructions burned: 8 (million)
% 4.59/1.12 % (8184)------------------------------
% 4.59/1.12 % (8184)------------------------------
% 5.78/1.13 % (8199)ott+1011_1:16_lma=on:nicw=on:sd=7:sp=const_frequency:ss=axioms:st=5.0:urr=ec_only:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/23Mi)
% 5.86/1.14 % (8222)lrs+10_1:32_abs=on:br=off:urr=ec_only:i=366:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/366Mi)
% 5.86/1.15 % (8140)Instruction limit reached!
% 5.86/1.15 % (8140)------------------------------
% 5.86/1.15 % (8140)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.86/1.15 % (8213)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=357:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/357Mi)
% 5.86/1.15 % (8140)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.86/1.15 % (8140)Termination reason: Unknown
% 5.86/1.15 % (8140)Termination phase: shuffling
% 5.86/1.15
% 5.86/1.15 % (8140)Memory used [KB]: 6396
% 5.86/1.15 % (8140)Time elapsed: 0.061 s
% 5.86/1.15 % (8140)Instructions burned: 93 (million)
% 5.86/1.15 % (8140)------------------------------
% 5.86/1.15 % (8140)------------------------------
% 5.86/1.16 % (8121)Instruction limit reached!
% 5.86/1.16 % (8121)------------------------------
% 5.86/1.16 % (8121)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.86/1.16 % (8178)Instruction limit reached!
% 5.86/1.16 % (8178)------------------------------
% 5.86/1.16 % (8178)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.86/1.16 % (8178)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.86/1.16 % (8178)Termination reason: Unknown
% 5.86/1.16 % (8178)Termination phase: Preprocessing 3
% 5.86/1.16
% 5.86/1.16 % (8178)Memory used [KB]: 4605
% 5.86/1.16 % (8178)Time elapsed: 0.018 s
% 5.86/1.16 % (8178)Instructions burned: 34 (million)
% 5.86/1.16 % (8178)------------------------------
% 5.86/1.16 % (8178)------------------------------
% 5.86/1.16 % (8121)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.86/1.16 % (8121)Termination reason: Unknown
% 5.86/1.16 % (8121)Termination phase: Saturation
% 5.86/1.16
% 5.86/1.16 % (8121)Memory used [KB]: 11385
% 5.86/1.16 % (8121)Time elapsed: 0.069 s
% 5.86/1.16 % (8121)Instructions burned: 139 (million)
% 5.86/1.16 % (8121)------------------------------
% 5.86/1.16 % (8121)------------------------------
% 5.86/1.17 % (8199)Instruction limit reached!
% 5.86/1.17 % (8199)------------------------------
% 5.86/1.17 % (8199)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.86/1.17 % (8199)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.86/1.17 % (8199)Termination reason: Unknown
% 5.86/1.17 % (8199)Termination phase: Preprocessing 2
% 5.86/1.17
% 5.86/1.17 % (8199)Memory used [KB]: 3582
% 5.86/1.17 % (8199)Time elapsed: 0.014 s
% 5.86/1.17 % (8199)Instructions burned: 23 (million)
% 5.86/1.17 % (8199)------------------------------
% 5.86/1.17 % (8199)------------------------------
% 5.86/1.17 % (8230)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=424:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/424Mi)
% 5.86/1.17 % (8234)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=753:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/753Mi)
% 5.86/1.19 % (8157)Instruction limit reached!
% 5.86/1.19 % (8157)------------------------------
% 5.86/1.19 % (8157)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.86/1.19 % (8157)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.86/1.19 % (8157)Termination reason: Unknown
% 5.86/1.19 % (8157)Termination phase: Function definition elimination
% 5.86/1.19
% 5.86/1.19 % (8157)Memory used [KB]: 5884
% 5.86/1.19 % (8157)Time elapsed: 0.049 s
% 5.86/1.19 % (8157)Instructions burned: 86 (million)
% 5.86/1.19 % (8157)------------------------------
% 5.86/1.19 % (8157)------------------------------
% 5.86/1.19 % (8241)lrs+11_1:2_aac=none:acc=on:alpa=true:spb=units:i=288:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/288Mi)
% 5.86/1.19 % (8250)lrs+10_1:1_sd=1:sos=on:spb=goal_then_units:ss=included:to=lpo:i=1000:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/1000Mi)
% 5.86/1.19 % (8159)Instruction limit reached!
% 5.86/1.19 % (8159)------------------------------
% 5.86/1.19 % (8159)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.86/1.19 % (8159)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.86/1.19 % (8159)Termination reason: Unknown
% 5.86/1.19 % (8159)Termination phase: Property scanning
% 5.86/1.19
% 5.86/1.19 % (8159)Memory used [KB]: 6268
% 5.86/1.19 % (8159)Time elapsed: 0.039 s
% 5.86/1.19 % (8159)Instructions burned: 80 (million)
% 5.86/1.19 % (8159)------------------------------
% 5.86/1.19 % (8159)------------------------------
% 5.86/1.20 % (8261)dis+1002_1:1_av=off:dr=on:ep=RS:mep=off:newcnf=on:nm=2:nwc=10.0:s2a=on:slsq=on:slsqc=0:slsqr=1,8:i=377:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/377Mi)
% 5.86/1.20 % (8253)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/149Mi)
% 5.86/1.21 % (8254)lrs+10_5:1_bce=on:bd=off:bsr=unit_only:s2a=on:sos=all:sp=reverse_arity:ss=axioms:st=2.0:to=lpo:urr=on:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/35Mi)
% 5.86/1.21 % (8268)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=300:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/300Mi)
% 6.49/1.23 % (8175)Instruction limit reached!
% 6.49/1.23 % (8175)------------------------------
% 6.49/1.23 % (8175)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.49/1.23 % (8175)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.49/1.23 % (8175)Termination reason: Unknown
% 6.49/1.23 % (8175)Termination phase: Property scanning
% 6.49/1.23
% 6.49/1.23 % (8175)Memory used [KB]: 6524
% 6.49/1.23 % (8175)Time elapsed: 0.073 s
% 6.49/1.23 % (8175)Instructions burned: 120 (million)
% 6.49/1.23 % (8175)------------------------------
% 6.49/1.23 % (8175)------------------------------
% 6.49/1.23 % (8269)dis+1002_1:1_nm=0:nwc=2.0:s2a=on:spb=goal_then_units:to=lpo:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/45Mi)
% 6.49/1.24 % (8274)lrs+10_1:8_ep=R:nwc=5.0:rnwc=on:sos=on:urr=on:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/23Mi)
% 6.49/1.26 % (8086)Instruction limit reached!
% 6.49/1.26 % (8086)------------------------------
% 6.49/1.26 % (8086)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.49/1.26 % (8281)lrs+10_1:4_drc=off:sos=on:to=lpo:i=102:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/102Mi)
% 6.49/1.27 % (8182)Instruction limit reached!
% 6.49/1.27 % (8182)------------------------------
% 6.49/1.27 % (8182)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.49/1.27 % (8182)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.49/1.27 % (8182)Termination reason: Unknown
% 6.49/1.27 % (8182)Termination phase: Property scanning
% 6.49/1.27
% 6.49/1.27 % (8182)Memory used [KB]: 6524
% 6.49/1.27 % (8182)Time elapsed: 0.052 s
% 6.49/1.27 % (8182)Instructions burned: 113 (million)
% 6.49/1.27 % (8182)------------------------------
% 6.49/1.27 % (8182)------------------------------
% 6.49/1.27 % (8254)Instruction limit reached!
% 6.49/1.27 % (8254)------------------------------
% 6.49/1.27 % (8254)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.49/1.27 % (8254)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.49/1.27 % (8254)Termination reason: Unknown
% 6.49/1.27 % (8254)Termination phase: Preprocessing 3
% 6.49/1.27
% 6.49/1.27 % (8254)Memory used [KB]: 4093
% 6.49/1.27 % (8254)Time elapsed: 0.022 s
% 6.49/1.27 % (8254)Instructions burned: 36 (million)
% 6.49/1.27 % (8254)------------------------------
% 6.49/1.27 % (8254)------------------------------
% 6.49/1.28 % (8086)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.49/1.28 % (8274)Instruction limit reached!
% 6.49/1.28 % (8274)------------------------------
% 6.49/1.28 % (8274)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.49/1.28 % (8086)Termination reason: Unknown
% 6.49/1.28 % (8274)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.49/1.28 % (8274)Termination reason: Unknown
% 6.49/1.28 % (8274)Termination phase: Preprocessing 3
% 6.49/1.28
% 6.49/1.28 % (8274)Memory used [KB]: 3965
% 6.49/1.28 % (8274)Time elapsed: 0.013 s
% 6.49/1.28 % (8274)Instructions burned: 23 (million)
% 6.49/1.28 % (8274)------------------------------
% 6.49/1.28 % (8274)------------------------------
% 6.49/1.28 % (8086)Termination phase: Saturation
% 6.49/1.28
% 6.49/1.28 % (8086)Memory used [KB]: 13048
% 6.49/1.28 % (8086)Time elapsed: 0.114 s
% 6.49/1.28 % (8086)Instructions burned: 239 (million)
% 6.49/1.28 % (8086)------------------------------
% 6.49/1.28 % (8086)------------------------------
% 6.93/1.30 % (8280)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=91:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/91Mi)
% 6.93/1.30 % (8284)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=234:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/234Mi)
% 6.93/1.30 % (8275)lrs+1011_1:1_aac=none:fs=off:fsr=off:i=136:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/136Mi)
% 6.93/1.31 % (8150)Instruction limit reached!
% 6.93/1.31 % (8150)------------------------------
% 6.93/1.31 % (8150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.93/1.32 % (8269)Instruction limit reached!
% 6.93/1.32 % (8269)------------------------------
% 6.93/1.32 % (8269)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.93/1.32 % (8294)dis+1011_1:1_aac=none:bs=unit_only:ep=RS:gsp=on:nwc=5.0:rnwc=on:s2a=on:s2at=3.0:slsq=on:slsqc=2:slsqr=1,8:i=290:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/290Mi)
% 6.93/1.32 % (8291)dis+1002_1:2_er=filter:fde=unused:nwc=3.0:sac=on:sp=frequency:ss=included:to=lpo:i=246:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/246Mi)
% 6.93/1.33 % (8150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.93/1.33 % (8150)Termination reason: Unknown
% 6.93/1.33 % (8150)Termination phase: Saturation
% 6.93/1.33
% 6.93/1.33 % (8150)Memory used [KB]: 12792
% 6.93/1.33 % (8150)Time elapsed: 0.141 s
% 6.93/1.33 % (8150)Instructions burned: 221 (million)
% 6.93/1.33 % (8150)------------------------------
% 6.93/1.33 % (8150)------------------------------
% 6.93/1.33 % (8269)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.93/1.33 % (8269)Termination reason: Unknown
% 6.93/1.33 % (8269)Termination phase: Preprocessing 3
% 6.93/1.33
% 6.93/1.33 % (8269)Memory used [KB]: 5117
% 6.93/1.33 % (8269)Time elapsed: 0.025 s
% 6.93/1.33 % (8269)Instructions burned: 47 (million)
% 6.93/1.33 % (8269)------------------------------
% 6.93/1.33 % (8269)------------------------------
% 6.93/1.35 % (8306)dis+1010_1:3_av=off:bd=off:bs=on:bsr=on:cond=on:gsp=on:slsq=on:slsqc=1:slsqr=1,4:uwa=all:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/68Mi)
% 6.93/1.35 % (8156)Instruction limit reached!
% 6.93/1.35 % (8156)------------------------------
% 6.93/1.35 % (8156)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.93/1.35 % (8156)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.93/1.35 % (8156)Termination reason: Unknown
% 6.93/1.35 % (8156)Termination phase: Saturation
% 6.93/1.35
% 6.93/1.35 % (8156)Memory used [KB]: 8315
% 6.93/1.35 % (8156)Time elapsed: 0.133 s
% 6.93/1.35 % (8156)Instructions burned: 222 (million)
% 6.93/1.35 % (8156)------------------------------
% 6.93/1.35 % (8156)------------------------------
% 7.38/1.37 % (8330)lrs+1_4:1_cond=fast:fde=unused:lcm=predicate:nm=4:s2a=on:sd=3:sos=on:ss=axioms:st=2.0:i=139:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/139Mi)
% 7.38/1.40 % (8322)dis+10_1:1_ep=R:fde=none:fsr=off:slsq=on:slsqc=1:slsql=off:slsqr=1,4:ss=axioms:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/248Mi)
% 7.38/1.41 % (8325)lrs+1011_1:5_add=large:afp=4000:anc=none:irw=on:lma=on:nm=64:sac=on:sd=3:sos=on:sp=reverse_arity:ss=axioms:st=2.0:stl=30:updr=off:urr=on:i=126:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/126Mi)
% 7.55/1.41 % (8329)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=997:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/997Mi)
% 7.55/1.42 % (8281)Instruction limit reached!
% 7.55/1.42 % (8281)------------------------------
% 7.55/1.42 % (8281)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.55/1.42 % (8281)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.55/1.42 % (8281)Termination reason: Unknown
% 7.55/1.42 % (8281)Termination phase: Property scanning
% 7.55/1.42
% 7.55/1.42 % (8281)Memory used [KB]: 6396
% 7.55/1.42 % (8281)Time elapsed: 0.054 s
% 7.55/1.42 % (8281)Instructions burned: 104 (million)
% 7.55/1.42 % (8281)------------------------------
% 7.55/1.42 % (8281)------------------------------
% 7.55/1.43 % (8280)Instruction limit reached!
% 7.55/1.43 % (8280)------------------------------
% 7.55/1.43 % (8280)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.55/1.43 % (8280)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.55/1.43 % (8280)Termination reason: Unknown
% 7.55/1.43 % (8280)Termination phase: Equality resolution with deletion
% 7.55/1.43
% 7.55/1.43 % (8280)Memory used [KB]: 6396
% 7.55/1.43 % (8280)Time elapsed: 0.042 s
% 7.55/1.43 % (8280)Instructions burned: 91 (million)
% 7.55/1.43 % (8280)------------------------------
% 7.55/1.43 % (8280)------------------------------
% 7.72/1.44 % (8306)Instruction limit reached!
% 7.72/1.44 % (8306)------------------------------
% 7.72/1.44 % (8306)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.72/1.44 % (8306)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.72/1.44 % (8306)Termination reason: Unknown
% 7.72/1.44 % (8306)Termination phase: Property scanning
% 7.72/1.44
% 7.72/1.44 % (8306)Memory used [KB]: 6140
% 7.72/1.44 % (8306)Time elapsed: 0.034 s
% 7.72/1.44 % (8306)Instructions burned: 70 (million)
% 7.72/1.44 % (8306)------------------------------
% 7.72/1.44 % (8306)------------------------------
% 7.72/1.45 % (8253)Instruction limit reached!
% 7.72/1.45 % (8253)------------------------------
% 7.72/1.45 % (8253)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.72/1.45 % (8253)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.72/1.45 % (8253)Termination reason: Unknown
% 7.72/1.45 % (8253)Termination phase: Saturation
% 7.72/1.45
% 7.72/1.45 % (8253)Memory used [KB]: 11001
% 7.72/1.45 % (8253)Time elapsed: 0.358 s
% 7.72/1.45 % (8253)Instructions burned: 150 (million)
% 7.72/1.45 % (8253)------------------------------
% 7.72/1.45 % (8253)------------------------------
% 7.72/1.46 % (8085)Instruction limit reached!
% 7.72/1.46 % (8085)------------------------------
% 7.72/1.46 % (8085)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.72/1.46 % (8085)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.72/1.46 % (8085)Termination reason: Unknown
% 7.72/1.46 % (8085)Termination phase: Saturation
% 7.72/1.46
% 7.72/1.46 % (8085)Memory used [KB]: 12792
% 7.72/1.46 % (8085)Time elapsed: 0.644 s
% 7.72/1.46 % (8085)Instructions burned: 342 (million)
% 7.72/1.46 % (8085)------------------------------
% 7.72/1.46 % (8085)------------------------------
% 7.72/1.46 % (8359)ott+4_8:1_acc=on:fsr=off:lcm=reverse:lma=on:sd=2:sos=all:ss=axioms:st=1.5:i=121:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/121Mi)
% 7.72/1.46 % (8360)lrs+2_1:1_lwlo=on:nwc=10.0:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/92Mi)
% 7.72/1.46 % (8361)lrs+1011_1:1_nwc=5.0:sd=4:ss=included:st=5.0:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/43Mi)
% 7.72/1.52 % (8275)Instruction limit reached!
% 7.72/1.52 % (8275)------------------------------
% 7.72/1.52 % (8275)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.72/1.52 % (8275)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.72/1.52 % (8275)Termination reason: Unknown
% 7.72/1.52 % (8275)Termination phase: Saturation
% 7.72/1.52
% 7.72/1.52 % (8275)Memory used [KB]: 11385
% 7.72/1.52 % (8275)Time elapsed: 0.063 s
% 7.72/1.52 % (8275)Instructions burned: 137 (million)
% 7.72/1.52 % (8275)------------------------------
% 7.72/1.52 % (8275)------------------------------
% 7.72/1.52 % (8361)Instruction limit reached!
% 7.72/1.52 % (8361)------------------------------
% 7.72/1.52 % (8361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.72/1.52 % (8361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.72/1.52 % (8361)Termination reason: Unknown
% 7.72/1.52 % (8361)Termination phase: Preprocessing 3
% 7.72/1.52
% 7.72/1.52 % (8361)Memory used [KB]: 4989
% 7.72/1.52 % (8361)Time elapsed: 0.042 s
% 7.72/1.52 % (8361)Instructions burned: 43 (million)
% 7.72/1.52 % (8361)------------------------------
% 7.72/1.52 % (8361)------------------------------
% 8.21/1.54 % (8330)Instruction limit reached!
% 8.21/1.54 % (8330)------------------------------
% 8.21/1.54 % (8330)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.21/1.54 % (8362)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/50Mi)
% 8.21/1.54 % (8330)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.21/1.54 % (8330)Termination reason: Unknown
% 8.21/1.54 % (8330)Termination phase: Saturation
% 8.21/1.54
% 8.21/1.54 % (8330)Memory used [KB]: 7675
% 8.21/1.54 % (8330)Time elapsed: 0.122 s
% 8.21/1.54 % (8330)Instructions burned: 139 (million)
% 8.21/1.54 % (8330)------------------------------
% 8.21/1.54 % (8330)------------------------------
% 8.21/1.56 % (8363)lrs+10_1:1_bd=preordered:drc=off:rp=on:sp=frequency:to=lpo:urr=on:i=9:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/9Mi)
% 8.21/1.58 % (8325)Instruction limit reached!
% 8.21/1.58 % (8325)------------------------------
% 8.21/1.58 % (8325)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.21/1.58 % (8325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.21/1.58 % (8325)Termination reason: Unknown
% 8.21/1.58 % (8325)Termination phase: Property scanning
% 8.21/1.58
% 8.21/1.58 % (8325)Memory used [KB]: 6396
% 8.21/1.58 % (8325)Time elapsed: 0.056 s
% 8.21/1.58 % (8325)Instructions burned: 128 (million)
% 8.21/1.58 % (8325)------------------------------
% 8.21/1.58 % (8325)------------------------------
% 8.73/1.58 % (8363)Instruction limit reached!
% 8.73/1.58 % (8363)------------------------------
% 8.73/1.58 % (8363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.73/1.58 % (8363)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.73/1.58 % (8363)Termination reason: Unknown
% 8.73/1.58 % (8363)Termination phase: Preprocessing 1
% 8.73/1.58
% 8.73/1.58 % (8363)Memory used [KB]: 2942
% 8.73/1.58 % (8363)Time elapsed: 0.006 s
% 8.73/1.58 % (8363)Instructions burned: 10 (million)
% 8.73/1.58 % (8363)------------------------------
% 8.73/1.58 % (8363)------------------------------
% 8.73/1.58 % (8364)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=915:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/915Mi)
% 8.73/1.59 % (8366)lrs+10_1:1_aac=none:lcm=reverse:nwc=10.0:sos=on:ss=axioms:st=3.0:i=206:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/206Mi)
% 8.73/1.59 % (8365)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=437:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/437Mi)
% 8.73/1.60 % (8268)Instruction limit reached!
% 8.73/1.60 % (8268)------------------------------
% 8.73/1.60 % (8268)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.73/1.60 % (8268)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.73/1.60 % (8268)Termination reason: Unknown
% 8.73/1.60 % (8268)Termination phase: Saturation
% 8.73/1.60
% 8.73/1.60 % (8268)Memory used [KB]: 13688
% 8.73/1.60 % (8268)Time elapsed: 0.445 s
% 8.73/1.60 % (8268)Instructions burned: 300 (million)
% 8.73/1.60 % (8268)------------------------------
% 8.73/1.60 % (8268)------------------------------
% 8.73/1.60 % (8360)Instruction limit reached!
% 8.73/1.60 % (8360)------------------------------
% 8.73/1.60 % (8360)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.73/1.60 % (8360)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.73/1.60 % (8360)Termination reason: Unknown
% 8.73/1.60 % (8360)Termination phase: shuffling
% 8.73/1.60
% 8.73/1.60 % (8360)Memory used [KB]: 6396
% 8.73/1.60 % (8360)Time elapsed: 0.048 s
% 8.73/1.60 % (8360)Instructions burned: 92 (million)
% 8.73/1.60 % (8360)------------------------------
% 8.73/1.60 % (8360)------------------------------
% 8.73/1.61 % (8359)Instruction limit reached!
% 8.73/1.61 % (8359)------------------------------
% 8.73/1.61 % (8359)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.73/1.62 % (8362)Instruction limit reached!
% 8.73/1.62 % (8362)------------------------------
% 8.73/1.62 % (8362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.73/1.63 % (8368)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=1501:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/1501Mi)
% 8.73/1.63 % (8362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.73/1.63 % (8362)Termination reason: Unknown
% 8.73/1.63 % (8362)Termination phase: Preprocessing 3
% 8.73/1.63
% 8.73/1.63 % (8362)Memory used [KB]: 5884
% 8.73/1.63 % (8362)Time elapsed: 0.026 s
% 8.73/1.63 % (8362)Instructions burned: 51 (million)
% 8.73/1.63 % (8362)------------------------------
% 8.73/1.63 % (8362)------------------------------
% 8.73/1.63 % (8359)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.73/1.63 % (8359)Termination reason: Unknown
% 8.73/1.63 % (8359)Termination phase: Saturation
% 8.73/1.63
% 8.73/1.63 % (8359)Memory used [KB]: 6652
% 8.73/1.63 % (8359)Time elapsed: 0.055 s
% 8.73/1.63 % (8359)Instructions burned: 121 (million)
% 8.73/1.63 % (8359)------------------------------
% 8.73/1.63 % (8359)------------------------------
% 8.73/1.63 % (8367)dis+11_1:17_bce=on:bsr=unit_only:drc=off:flr=on:gs=on:sp=frequency:spb=units:to=lpo:i=1287:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/1287Mi)
% 8.73/1.63 % (8134)Instruction limit reached!
% 8.73/1.63 % (8134)------------------------------
% 8.73/1.63 % (8134)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.73/1.63 % (8134)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.73/1.63 % (8134)Termination reason: Unknown
% 8.73/1.63 % (8134)Termination phase: Saturation
% 8.73/1.63
% 8.73/1.63 % (8134)Memory used [KB]: 12920
% 8.73/1.63 % (8134)Time elapsed: 0.182 s
% 8.73/1.63 % (8134)Instructions burned: 393 (million)
% 8.73/1.63 % (8134)------------------------------
% 8.73/1.63 % (8134)------------------------------
% 8.73/1.66 % (8369)dis+1011_1:1_bd=off:fd=preordered:fde=unused:sfv=off:sos=on:sp=reverse_frequency:spb=goal:to=lpo:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/32Mi)
% 9.25/1.66 % (8166)Instruction limit reached!
% 9.25/1.66 % (8166)------------------------------
% 9.25/1.66 % (8166)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.25/1.67 % (8241)Instruction limit reached!
% 9.25/1.67 % (8241)------------------------------
% 9.25/1.67 % (8241)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.25/1.67 % (8241)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.25/1.67 % (8241)Termination reason: Unknown
% 9.25/1.67 % (8241)Termination phase: Saturation
% 9.25/1.67
% 9.25/1.67 % (8241)Memory used [KB]: 12920
% 9.25/1.67 % (8241)Time elapsed: 0.144 s
% 9.25/1.67 % (8241)Instructions burned: 290 (million)
% 9.25/1.67 % (8241)------------------------------
% 9.25/1.67 % (8241)------------------------------
% 9.25/1.68 % (8284)Instruction limit reached!
% 9.25/1.68 % (8284)------------------------------
% 9.25/1.68 % (8284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.25/1.68 % (8284)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.25/1.68 % (8284)Termination reason: Unknown
% 9.25/1.68 % (8284)Termination phase: Saturation
% 9.25/1.68
% 9.25/1.68 % (8284)Memory used [KB]: 14072
% 9.25/1.68 % (8284)Time elapsed: 0.115 s
% 9.25/1.68 % (8284)Instructions burned: 234 (million)
% 9.25/1.68 % (8284)------------------------------
% 9.25/1.68 % (8284)------------------------------
% 9.25/1.68 % (8166)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.25/1.68 % (8166)Termination reason: Unknown
% 9.25/1.68 % (8166)Termination phase: Saturation
% 9.25/1.68
% 9.25/1.68 % (8166)Memory used [KB]: 12792
% 9.25/1.68 % (8166)Time elapsed: 0.183 s
% 9.25/1.68 % (8166)Instructions burned: 378 (million)
% 9.25/1.68 % (8166)------------------------------
% 9.25/1.68 % (8166)------------------------------
% 10.17/1.70 % (8371)lrs+11_1:1_bd=off:erd=off:plsq=on:plsqr=32,1:sfv=off:sos=all:i=283:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/283Mi)
% 10.17/1.70 % (8370)dis+4_1:64_av=off:bce=on:flr=on:lcm=reverse:sfv=off:sos=all:i=117:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/117Mi)
% 10.17/1.70 % (8369)Instruction limit reached!
% 10.17/1.70 % (8369)------------------------------
% 10.17/1.70 % (8369)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.17/1.71 % (8369)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.17/1.71 % (8369)Termination reason: Unknown
% 10.17/1.71 % (8369)Termination phase: Preprocessing 3
% 10.17/1.71
% 10.17/1.71 % (8369)Memory used [KB]: 4605
% 10.17/1.71 % (8369)Time elapsed: 0.018 s
% 10.17/1.71 % (8369)Instructions burned: 32 (million)
% 10.17/1.71 % (8369)------------------------------
% 10.17/1.71 % (8369)------------------------------
% 10.50/1.73 % (8372)lrs+10_1:1_bsr=on:lma=on:sac=on:sos=all:spb=units:to=lpo:i=115:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/115Mi)
% 10.50/1.73 % (8193)Instruction limit reached!
% 10.50/1.73 % (8193)------------------------------
% 10.50/1.73 % (8193)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.50/1.73 % (8193)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.50/1.73 % (8193)Termination reason: Unknown
% 10.50/1.73 % (8193)Termination phase: Saturation
% 10.50/1.73
% 10.50/1.73 % (8193)Memory used [KB]: 14839
% 10.50/1.73 % (8193)Time elapsed: 0.698 s
% 10.50/1.73 % (8193)Instructions burned: 390 (million)
% 10.50/1.73 % (8193)------------------------------
% 10.50/1.73 % (8193)------------------------------
% 10.50/1.73 % (8373)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/93Mi)
% 10.50/1.74 % (8103)Instruction limit reached!
% 10.50/1.74 % (8103)------------------------------
% 10.50/1.74 % (8103)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.50/1.74 % (8103)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.50/1.74 % (8103)Termination reason: Unknown
% 10.50/1.74 % (8103)Termination phase: Saturation
% 10.50/1.74
% 10.50/1.74 % (8103)Memory used [KB]: 16502
% 10.50/1.74 % (8103)Time elapsed: 0.851 s
% 10.50/1.74 % (8103)Instructions burned: 472 (million)
% 10.50/1.74 % (8103)------------------------------
% 10.50/1.74 % (8103)------------------------------
% 10.50/1.74 % (8291)Instruction limit reached!
% 10.50/1.74 % (8291)------------------------------
% 10.50/1.74 % (8291)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.68/1.75 % (8291)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.68/1.75 % (8291)Termination reason: Unknown
% 10.68/1.75 % (8291)Termination phase: Saturation
% 10.68/1.75
% 10.68/1.75 % (8291)Memory used [KB]: 12281
% 10.68/1.75 % (8291)Time elapsed: 0.509 s
% 10.68/1.75 % (8291)Instructions burned: 247 (million)
% 10.68/1.75 % (8291)------------------------------
% 10.68/1.75 % (8291)------------------------------
% 10.68/1.75 % (8375)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=80:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/80Mi)
% 10.68/1.77 % (8377)lrs+1011_1:1_bd=preordered:drc=off:fd=preordered:fsr=off:plsq=on:i=94:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/94Mi)
% 10.68/1.77 % (8222)Instruction limit reached!
% 10.68/1.77 % (8222)------------------------------
% 10.68/1.77 % (8222)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.68/1.77 % (8222)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.68/1.77 % (8222)Termination reason: Unknown
% 10.68/1.77 % (8222)Termination phase: Saturation
% 10.68/1.77
% 10.68/1.77 % (8222)Memory used [KB]: 13688
% 10.68/1.77 % (8222)Time elapsed: 0.711 s
% 10.68/1.77 % (8222)Instructions burned: 367 (million)
% 10.68/1.77 % (8222)------------------------------
% 10.68/1.77 % (8222)------------------------------
% 10.68/1.78 % (8322)Instruction limit reached!
% 10.68/1.78 % (8322)------------------------------
% 10.68/1.78 % (8322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.68/1.78 % (8374)lrs+1_1:16_av=off:fd=off:newcnf=on:nm=10:sims=off:sos=on:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/92Mi)
% 10.68/1.78 % (8376)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=251:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/251Mi)
% 10.68/1.78 % (8213)Instruction limit reached!
% 10.68/1.78 % (8213)------------------------------
% 10.68/1.78 % (8213)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.68/1.78 % (8213)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.68/1.78 % (8213)Termination reason: Unknown
% 10.68/1.78 % (8213)Termination phase: Saturation
% 10.68/1.78
% 10.68/1.78 % (8213)Memory used [KB]: 8571
% 10.68/1.78 % (8213)Time elapsed: 0.735 s
% 10.68/1.78 % (8213)Instructions burned: 358 (million)
% 10.68/1.78 % (8213)------------------------------
% 10.68/1.78 % (8213)------------------------------
% 10.68/1.79 % (8294)Instruction limit reached!
% 10.68/1.79 % (8294)------------------------------
% 10.68/1.79 % (8294)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.68/1.79 % (8294)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.68/1.79 % (8294)Termination reason: Unknown
% 10.68/1.79 % (8294)Termination phase: Saturation
% 10.68/1.79
% 10.68/1.79 % (8294)Memory used [KB]: 13176
% 10.68/1.79 % (8294)Time elapsed: 0.550 s
% 10.68/1.79 % (8294)Instructions burned: 291 (million)
% 10.68/1.79 % (8294)------------------------------
% 10.68/1.79 % (8294)------------------------------
% 10.68/1.79 % (8322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.68/1.79 % (8322)Termination reason: Unknown
% 10.68/1.79 % (8322)Termination phase: Saturation
% 10.68/1.79
% 10.68/1.79 % (8322)Memory used [KB]: 13560
% 10.68/1.79 % (8322)Time elapsed: 0.474 s
% 10.68/1.79 % (8322)Instructions burned: 249 (million)
% 10.68/1.79 % (8322)------------------------------
% 10.68/1.79 % (8322)------------------------------
% 10.68/1.79 % (8261)Instruction limit reached!
% 10.68/1.79 % (8261)------------------------------
% 10.68/1.79 % (8261)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.68/1.79 % (8261)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.68/1.79 % (8261)Termination reason: Unknown
% 10.68/1.79 % (8261)Termination phase: Saturation
% 10.68/1.79
% 10.68/1.79 % (8261)Memory used [KB]: 9466
% 10.68/1.79 % (8261)Time elapsed: 0.691 s
% 10.68/1.79 % (8261)Instructions burned: 377 (million)
% 10.68/1.79 % (8261)------------------------------
% 10.68/1.79 % (8261)------------------------------
% 10.68/1.80 % (8379)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=1486:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/1486Mi)
% 10.68/1.81 % (8378)lrs+30_1:3_aac=none:abs=on:avsq=on:avsql=on:avsqr=1,16:er=filter:fde=none:fsr=off:kws=inv_frequency:nwc=5.0:suph=off:i=285:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/285Mi)
% 11.16/1.84 % (8380)dis+1011_1:64_av=off:bce=on:bd=off:bsd=on:cond=on:flr=on:foolp=on:nwc=2.0:plsq=on:plsqc=1:plsqr=37,6:s2agt=32:slsq=on:slsqc=1:slsql=off:slsqr=17,16:tgt=full:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/73Mi)
% 11.16/1.85 % (8139)Instruction limit reached!
% 11.16/1.85 % (8139)------------------------------
% 11.16/1.85 % (8139)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.16/1.85 % (8139)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.16/1.85 % (8139)Termination reason: Unknown
% 11.16/1.85 % (8139)Termination phase: Saturation
% 11.16/1.85
% 11.16/1.85 % (8139)Memory used [KB]: 14711
% 11.16/1.85 % (8139)Time elapsed: 0.897 s
% 11.16/1.85 % (8139)Instructions burned: 488 (million)
% 11.16/1.85 % (8139)------------------------------
% 11.16/1.85 % (8139)------------------------------
% 11.16/1.85 % (8230)Instruction limit reached!
% 11.16/1.85 % (8230)------------------------------
% 11.16/1.85 % (8230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.16/1.85 % (8230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.16/1.85 % (8230)Termination reason: Unknown
% 11.16/1.85 % (8230)Termination phase: Saturation
% 11.16/1.85
% 11.16/1.85 % (8230)Memory used [KB]: 13944
% 11.16/1.85 % (8230)Time elapsed: 0.216 s
% 11.16/1.85 % (8230)Instructions burned: 425 (million)
% 11.16/1.85 % (8230)------------------------------
% 11.16/1.85 % (8230)------------------------------
% 11.16/1.86 % (8381)dis+10_1:1_aac=none:abs=on:bce=on:bd=off:bsr=unit_only:drc=off:fd=preordered:fsd=on:gve=cautious:lcm=reverse:nm=16:plsq=on:plsqc=1:plsqr=232,15:sfv=off:slsq=on:slsql=off:slsqr=3,2:sos=on:sp=weighted_frequency:i=106:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/106Mi)
% 11.16/1.86 % (8373)Instruction limit reached!
% 11.16/1.86 % (8373)------------------------------
% 11.16/1.86 % (8373)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.16/1.86 % (8373)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.16/1.86 % (8373)Termination reason: Unknown
% 11.16/1.86 % (8373)Termination phase: Function definition elimination
% 11.16/1.86
% 11.16/1.86 % (8373)Memory used [KB]: 6396
% 11.16/1.86 % (8373)Time elapsed: 0.050 s
% 11.16/1.86 % (8373)Instructions burned: 93 (million)
% 11.16/1.86 % (8373)------------------------------
% 11.16/1.86 % (8373)------------------------------
% 11.16/1.86 % (8375)Instruction limit reached!
% 11.16/1.86 % (8375)------------------------------
% 11.16/1.86 % (8375)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.16/1.87 % (8370)Instruction limit reached!
% 11.16/1.87 % (8370)------------------------------
% 11.16/1.87 % (8370)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.16/1.87 % (8370)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.16/1.87 % (8370)Termination reason: Unknown
% 11.16/1.87 % (8370)Termination phase: Blocked clause elimination
% 11.16/1.87
% 11.16/1.87 % (8370)Memory used [KB]: 7291
% 11.16/1.87 % (8370)Time elapsed: 0.054 s
% 11.16/1.87 % (8370)Instructions burned: 118 (million)
% 11.16/1.87 % (8370)------------------------------
% 11.16/1.87 % (8370)------------------------------
% 11.16/1.87 % (8375)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.16/1.87 % (8375)Termination reason: Unknown
% 11.16/1.87 % (8375)Termination phase: Property scanning
% 11.16/1.87
% 11.16/1.87 % (8375)Memory used [KB]: 6268
% 11.16/1.87 % (8375)Time elapsed: 0.039 s
% 11.16/1.87 % (8375)Instructions burned: 82 (million)
% 11.16/1.87 % (8375)------------------------------
% 11.16/1.87 % (8375)------------------------------
% 11.45/1.88 % (8382)dis+1002_1:1_ep=R:sd=2:sos=on:ss=axioms:i=1488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/1488Mi)
% 11.45/1.88 % (8366)Instruction limit reached!
% 11.45/1.88 % (8366)------------------------------
% 11.45/1.88 % (8366)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.45/1.88 % (8383)lrs+1011_1:1_sd=1:ss=axioms:st=5.0:i=103:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/103Mi)
% 11.45/1.90 % (8372)Instruction limit reached!
% 11.45/1.90 % (8372)------------------------------
% 11.45/1.90 % (8372)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.45/1.90 % (8366)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.45/1.90 % (8366)Termination reason: Unknown
% 11.45/1.90 % (8366)Termination phase: Saturation
% 11.45/1.90
% 11.45/1.90 % (8366)Memory used [KB]: 12792
% 11.45/1.90 % (8366)Time elapsed: 0.122 s
% 11.45/1.90 % (8366)Instructions burned: 206 (million)
% 11.45/1.90 % (8366)------------------------------
% 11.45/1.90 % (8366)------------------------------
% 11.45/1.90 % (8384)lrs+1011_3:1_acc=model:fsr=off:gsp=on:sd=1:ss=axioms:st=5.0:urr=on:i=376:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/376Mi)
% 11.45/1.90 % (8372)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.45/1.90 % (8372)Termination reason: Unknown
% 11.45/1.90 % (8372)Termination phase: Property scanning
% 11.45/1.90
% 11.45/1.90 % (8372)Memory used [KB]: 6396
% 11.45/1.90 % (8372)Time elapsed: 0.059 s
% 11.45/1.90 % (8372)Instructions burned: 115 (million)
% 11.45/1.90 % (8372)------------------------------
% 11.45/1.90 % (8372)------------------------------
% 11.45/1.91 % (8385)lrs+10_1:1_sd=1:sos=all:ss=axioms:i=1345:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/1345Mi)
% 11.45/1.91 % (8388)dis+1002_1:5_acc=on:afp=1010:fsr=off:gsp=on:nm=10:sac=on:sos=on:sp=unary_first:urr=ec_only:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/177Mi)
% 11.45/1.91 % (8377)Instruction limit reached!
% 11.45/1.91 % (8377)------------------------------
% 11.45/1.91 % (8377)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.45/1.91 % (8377)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.45/1.91 % (8377)Termination reason: Unknown
% 11.45/1.91 % (8377)Termination phase: Property scanning
% 11.45/1.91
% 11.45/1.91 % (8377)Memory used [KB]: 6524
% 11.45/1.91 % (8377)Time elapsed: 0.043 s
% 11.45/1.91 % (8377)Instructions burned: 96 (million)
% 11.45/1.91 % (8377)------------------------------
% 11.45/1.91 % (8377)------------------------------
% 11.45/1.91 % (8374)Instruction limit reached!
% 11.45/1.91 % (8374)------------------------------
% 11.45/1.91 % (8374)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.45/1.91 % (8374)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.45/1.91 % (8374)Termination reason: Unknown
% 11.45/1.91 % (8374)Termination phase: Function definition elimination
% 11.45/1.91
% 11.45/1.91 % (8374)Memory used [KB]: 5884
% 11.45/1.91 % (8374)Time elapsed: 0.043 s
% 11.45/1.91 % (8374)Instructions burned: 93 (million)
% 11.45/1.91 % (8374)------------------------------
% 11.45/1.91 % (8374)------------------------------
% 11.45/1.92 % (8386)ott-3_2:1_acc=on:add=large:anc=none:fde=none:gsp=on:irw=on:nm=0:s2a=on:sd=4:sos=on:ss=axioms:st=1.2:urr=on:i=134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/134Mi)
% 11.45/1.92 % (8387)lrs+1002_1:1_av=off:gs=on:gsp=on:irw=on:nwc=2.0:sd=2:sos=on:ss=axioms:stl=30:urr=on:i=1498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/1498Mi)
% 11.45/1.93 % (8380)Instruction limit reached!
% 11.45/1.93 % (8380)------------------------------
% 11.45/1.93 % (8380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.45/1.93 % (8380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.45/1.93 % (8380)Termination reason: Unknown
% 11.45/1.93 % (8380)Termination phase: Property scanning
% 11.45/1.93
% 11.45/1.93 % (8380)Memory used [KB]: 6268
% 11.45/1.93 % (8380)Time elapsed: 0.034 s
% 11.45/1.93 % (8380)Instructions burned: 73 (million)
% 11.45/1.93 % (8380)------------------------------
% 11.45/1.93 % (8380)------------------------------
% 11.91/1.98 % (8390)lrs+1002_1:1_fde=none:sd=2:sos=on:sp=const_max:ss=axioms:i=274:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/274Mi)
% 11.91/1.98 % (8389)fmb+10_1:1_fmbsr=1.2:rp=on:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/82Mi)
% 11.91/1.99 % (8392)dis+1011_1:32_bd=off:fde=unused:plsq=on:plsqc=2:plsqr=175,8:s2a=on:sp=frequency:spb=goal:ss=included:st=2.0:to=lpo:i=669:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/669Mi)
% 11.91/1.99 % (8391)lrs+1011_1:5_av=off:awrs=decay:awrsf=97:bce=on:bsr=on:drc=off:flr=on:gs=on:ins=3:lwlo=on:newcnf=on:nm=0:plsq=on:plsqr=4437,256:s2a=on:s2at=4.0:s2pl=no:sims=off:skr=on:slsq=on:slsqc=0:slsqr=31,16:sos=all:sp=frequency:updr=off:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/176Mi)
% 11.91/2.00 % (8393)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=156:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/156Mi)
% 12.05/2.02 % (8394)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=1735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/1735Mi)
% 12.05/2.02 % (8381)Instruction limit reached!
% 12.05/2.02 % (8381)------------------------------
% 12.05/2.02 % (8381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.05/2.02 % (8381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.05/2.02 % (8381)Termination reason: Unknown
% 12.05/2.02 % (8381)Termination phase: Property scanning
% 12.05/2.02
% 12.05/2.02 % (8381)Memory used [KB]: 6396
% 12.05/2.02 % (8381)Time elapsed: 0.050 s
% 12.05/2.02 % (8381)Instructions burned: 107 (million)
% 12.05/2.02 % (8381)------------------------------
% 12.05/2.02 % (8381)------------------------------
% 12.05/2.04 % (8396)dis+10_1:1_lma=on:sac=on:sos=all:spb=goal_then_units:ss=axioms:to=lpo:i=432:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/432Mi)
% 12.05/2.04 % (8383)Instruction limit reached!
% 12.05/2.04 % (8383)------------------------------
% 12.05/2.04 % (8383)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.05/2.04 % (8383)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.05/2.04 % (8383)Termination reason: Unknown
% 12.05/2.04 % (8383)Termination phase: Property scanning
% 12.05/2.04
% 12.05/2.04 % (8383)Memory used [KB]: 6268
% 12.05/2.04 % (8383)Time elapsed: 0.051 s
% 12.05/2.04 % (8383)Instructions burned: 104 (million)
% 12.05/2.04 % (8383)------------------------------
% 12.05/2.04 % (8383)------------------------------
% 12.05/2.04 % (8395)dis+10_1:1_av=off:ep=RS:lcm=reverse:newcnf=on:s2a=on:s2at=3.0:i=2681:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/2681Mi)
% 12.27/2.05 % (8397)lrs+11_1:1_bsr=unit_only:flr=on:to=lpo:i=440:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/440Mi)
% 12.27/2.05 % (8398)lrs+10_1:1_sd=1:sos=on:ss=included:i=3303:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/3303Mi)
% 12.27/2.09 % (8386)Instruction limit reached!
% 12.27/2.09 % (8386)------------------------------
% 12.27/2.09 % (8386)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.27/2.09 % (8386)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.27/2.09 % (8386)Termination reason: Unknown
% 12.27/2.09 % (8386)Termination phase: Equality resolution with deletion
% 12.27/2.09
% 12.27/2.09 % (8386)Memory used [KB]: 6140
% 12.27/2.09 % (8386)Time elapsed: 0.053 s
% 12.27/2.09 % (8386)Instructions burned: 137 (million)
% 12.27/2.09 % (8386)------------------------------
% 12.27/2.09 % (8386)------------------------------
% 12.27/2.11 % (8389)Instruction limit reached!
% 12.27/2.11 % (8389)------------------------------
% 12.27/2.11 % (8389)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.27/2.11 % (8389)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.27/2.11 % (8389)Termination reason: Unknown
% 12.27/2.11 % (8389)Termination phase: Function definition elimination
% 12.27/2.11
% 12.27/2.11 % (8389)Memory used [KB]: 6140
% 12.27/2.11 % (8389)Time elapsed: 0.043 s
% 12.27/2.11 % (8389)Instructions burned: 82 (million)
% 12.27/2.11 % (8389)------------------------------
% 12.27/2.11 % (8389)------------------------------
% 12.27/2.11 % (8371)Instruction limit reached!
% 12.27/2.11 % (8371)------------------------------
% 12.27/2.11 % (8371)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.27/2.11 % (8371)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.27/2.11 % (8371)Termination reason: Unknown
% 12.27/2.11 % (8371)Termination phase: Saturation
% 12.27/2.11
% 12.27/2.11 % (8371)Memory used [KB]: 12792
% 12.27/2.11 % (8371)Time elapsed: 0.143 s
% 12.27/2.11 % (8371)Instructions burned: 283 (million)
% 12.27/2.11 % (8371)------------------------------
% 12.27/2.11 % (8371)------------------------------
% 12.62/2.15 % (8388)Instruction limit reached!
% 12.62/2.15 % (8388)------------------------------
% 12.62/2.15 % (8388)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.62/2.16 % (8399)lrs+11_1:1_ss=included:st=2.0:i=503:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/503Mi)
% 12.73/2.17 % (8388)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.73/2.17 % (8388)Termination reason: Unknown
% 12.73/2.17 % (8388)Termination phase: Saturation
% 12.73/2.17
% 12.73/2.17 % (8388)Memory used [KB]: 12665
% 12.73/2.17 % (8388)Time elapsed: 0.125 s
% 12.73/2.17 % (8388)Instructions burned: 178 (million)
% 12.73/2.17 % (8388)------------------------------
% 12.73/2.17 % (8388)------------------------------
% 12.73/2.18 % (8400)lrs+10_1:1_sos=on:ss=included:st=1.2:urr=on:i=236:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/236Mi)
% 12.73/2.21 % (8376)Instruction limit reached!
% 12.73/2.21 % (8376)------------------------------
% 12.73/2.21 % (8376)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.73/2.21 % (8376)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.73/2.21 % (8376)Termination reason: Unknown
% 12.73/2.21 % (8376)Termination phase: Saturation
% 12.73/2.21
% 12.73/2.21 % (8376)Memory used [KB]: 14328
% 12.73/2.21 % (8376)Time elapsed: 0.550 s
% 12.73/2.21 % (8376)Instructions burned: 252 (million)
% 12.73/2.21 % (8376)------------------------------
% 12.73/2.21 % (8376)------------------------------
% 12.73/2.22 % (8403)dis+1002_1:1_nm=0:nwc=2.0:s2a=on:spb=goal_then_units:to=lpo:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/45Mi)
% 12.73/2.23 % (8391)Instruction limit reached!
% 12.73/2.23 % (8391)------------------------------
% 12.73/2.23 % (8391)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.73/2.23 % (8391)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.73/2.23 % (8391)Termination reason: Unknown
% 12.73/2.23 % (8391)Termination phase: Property scanning
% 12.73/2.23
% 12.73/2.23 % (8391)Memory used [KB]: 7547
% 12.73/2.23 % (8391)Time elapsed: 0.074 s
% 12.73/2.23 % (8391)Instructions burned: 177 (million)
% 12.73/2.23 % (8391)------------------------------
% 12.73/2.23 % (8391)------------------------------
% 12.73/2.23 % (8401)lrs+11_3:1_br=off:flr=on:sgt=8:ss=axioms:urr=on:i=128:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/128Mi)
% 12.73/2.24 % (8378)Instruction limit reached!
% 12.73/2.24 % (8378)------------------------------
% 12.73/2.24 % (8378)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.73/2.24 % (8378)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.73/2.24 % (8378)Termination reason: Unknown
% 12.73/2.24 % (8378)Termination phase: Saturation
% 12.73/2.24
% 12.73/2.24 % (8378)Memory used [KB]: 13176
% 12.73/2.24 % (8378)Time elapsed: 0.552 s
% 12.73/2.24 % (8378)Instructions burned: 285 (million)
% 12.73/2.24 % (8378)------------------------------
% 12.73/2.24 % (8378)------------------------------
% 12.73/2.24 % (8402)dis+1002_1:1_ep=RS:erd=off:sac=on:sos=on:i=2543:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/2543Mi)
% 12.73/2.25 % (8393)Instruction limit reached!
% 12.73/2.25 % (8393)------------------------------
% 12.73/2.25 % (8393)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.77/2.27 % (8393)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.77/2.27 % (8393)Termination reason: Unknown
% 14.77/2.27 % (8393)Termination phase: Saturation
% 14.77/2.27
% 14.77/2.27 % (8393)Memory used [KB]: 7803
% 14.77/2.27 % (8393)Time elapsed: 0.075 s
% 14.77/2.27 % (8393)Instructions burned: 157 (million)
% 14.77/2.27 % (8393)------------------------------
% 14.77/2.27 % (8393)------------------------------
% 14.77/2.28 % (8365)Instruction limit reached!
% 14.77/2.28 % (8365)------------------------------
% 14.77/2.28 % (8365)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.77/2.28 % (8365)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.77/2.28 % (8365)Termination reason: Unknown
% 14.77/2.28 % (8365)Termination phase: Saturation
% 14.77/2.28
% 14.77/2.28 % (8365)Memory used [KB]: 16375
% 14.77/2.28 % (8365)Time elapsed: 0.762 s
% 14.77/2.28 % (8365)Instructions burned: 437 (million)
% 14.77/2.28 % (8365)------------------------------
% 14.77/2.28 % (8365)------------------------------
% 14.99/2.31 % (8404)dis+1010_1:1_acc=model:bd=off:ins=1:nwc=5.0:sp=reverse_frequency:to=lpo:i=279:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/279Mi)
% 14.99/2.32 % (8403)Instruction limit reached!
% 14.99/2.32 % (8403)------------------------------
% 14.99/2.32 % (8403)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.99/2.32 % (8403)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.99/2.32 % (8403)Termination reason: Unknown
% 14.99/2.32 % (8403)Termination phase: Preprocessing 3
% 14.99/2.32
% 14.99/2.32 % (8403)Memory used [KB]: 5117
% 14.99/2.32 % (8403)Time elapsed: 0.025 s
% 14.99/2.32 % (8403)Instructions burned: 46 (million)
% 14.99/2.32 % (8403)------------------------------
% 14.99/2.32 % (8403)------------------------------
% 14.99/2.32 % (8234)Instruction limit reached!
% 14.99/2.32 % (8234)------------------------------
% 14.99/2.32 % (8234)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.99/2.33 % (8405)lrs+0_1:1_br=off:drc=off:erd=off:urr=ec_only:i=997:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/997Mi)
% 15.36/2.34 % (8234)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.36/2.34 % (8234)Termination reason: Unknown
% 15.36/2.34 % (8234)Termination phase: Saturation
% 15.36/2.34
% 15.36/2.34 % (8234)Memory used [KB]: 18421
% 15.36/2.34 % (8234)Time elapsed: 1.244 s
% 15.36/2.34 % (8234)Instructions burned: 753 (million)
% 15.36/2.34 % (8234)------------------------------
% 15.36/2.34 % (8234)------------------------------
% 15.46/2.36 % (8406)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=121:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/121Mi)
% 15.46/2.36 % (8407)lrs+10_1:32_br=off:gsp=on:nm=6:nwc=5.0:urr=on:i=53:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/53Mi)
% 15.46/2.39 % (8408)lrs+1011_1:1_aac=none:fs=off:fsr=off:i=265:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/265Mi)
% 15.46/2.41 % (8409)dis+10_1:5_bsr=on:drc=off:ins=1:nwc=2.8:sp=reverse_frequency:to=lpo:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/84Mi)
% 15.91/2.43 % (8390)Instruction limit reached!
% 15.91/2.43 % (8390)------------------------------
% 15.91/2.43 % (8390)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.91/2.43 % (8390)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.91/2.43 % (8390)Termination reason: Unknown
% 15.91/2.43 % (8390)Termination phase: Saturation
% 15.91/2.43
% 15.91/2.43 % (8390)Memory used [KB]: 13048
% 15.91/2.43 % (8390)Time elapsed: 0.541 s
% 15.91/2.43 % (8390)Instructions burned: 274 (million)
% 15.91/2.43 % (8390)------------------------------
% 15.91/2.43 % (8390)------------------------------
% 15.91/2.43 % (8401)Instruction limit reached!
% 15.91/2.43 % (8401)------------------------------
% 15.91/2.43 % (8401)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.91/2.43 % (8401)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.91/2.43 % (8401)Termination reason: Unknown
% 15.91/2.43 % (8401)Termination phase: Saturation
% 15.91/2.43
% 15.91/2.43 % (8401)Memory used [KB]: 11129
% 15.91/2.43 % (8401)Time elapsed: 0.071 s
% 15.91/2.43 % (8401)Instructions burned: 129 (million)
% 15.91/2.43 % (8401)------------------------------
% 15.91/2.43 % (8401)------------------------------
% 15.91/2.44 % (8410)lrs+1011_1:1_acc=model:avsq=on:bd=off:flr=on:fsd=on:gs=on:newcnf=on:plsq=on:plsql=on:plsqr=1,32:s2a=on:s2at=3.0:sac=on:skr=on:sos=on:sp=occurrence:updr=off:i=162:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/162Mi)
% 15.91/2.45 % (8411)dis+1011_1:1_aac=none:bs=unit_only:ep=RS:gsp=on:nwc=5.0:rnwc=on:s2a=on:s2at=3.0:slsq=on:slsqc=2:slsqr=1,8:i=1290:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/1290Mi)
% 16.26/2.47 % (8407)Instruction limit reached!
% 16.26/2.47 % (8407)------------------------------
% 16.26/2.47 % (8407)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.26/2.47 % (8407)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.26/2.47 % (8407)Termination reason: Unknown
% 16.26/2.47 % (8407)Termination phase: Preprocessing 3
% 16.26/2.47
% 16.26/2.47 % (8407)Memory used [KB]: 5628
% 16.26/2.47 % (8407)Time elapsed: 0.029 s
% 16.26/2.47 % (8407)Instructions burned: 54 (million)
% 16.26/2.47 % (8407)------------------------------
% 16.26/2.47 % (8407)------------------------------
% 16.26/2.50 % (8384)Instruction limit reached!
% 16.26/2.50 % (8384)------------------------------
% 16.26/2.50 % (8384)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.26/2.50 % (8384)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.26/2.50 % (8384)Termination reason: Unknown
% 16.26/2.50 % (8384)Termination phase: Saturation
% 16.26/2.50
% 16.26/2.50 % (8384)Memory used [KB]: 14839
% 16.26/2.50 % (8384)Time elapsed: 0.684 s
% 16.26/2.50 % (8384)Instructions burned: 376 (million)
% 16.26/2.50 % (8384)------------------------------
% 16.26/2.50 % (8384)------------------------------
% 16.26/2.50 % (8406)Instruction limit reached!
% 16.26/2.50 % (8406)------------------------------
% 16.26/2.50 % (8406)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.26/2.50 % (8406)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.26/2.50 % (8406)Termination reason: Unknown
% 16.26/2.50 % (8406)Termination phase: Property scanning
% 16.26/2.50
% 16.26/2.50 % (8406)Memory used [KB]: 6652
% 16.26/2.50 % (8406)Time elapsed: 0.101 s
% 16.26/2.50 % (8406)Instructions burned: 123 (million)
% 16.26/2.50 % (8406)------------------------------
% 16.26/2.50 % (8406)------------------------------
% 16.26/2.52 % (8409)Instruction limit reached!
% 16.26/2.52 % (8409)------------------------------
% 16.26/2.52 % (8409)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.26/2.53 % (8409)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.26/2.53 % (8409)Termination reason: Unknown
% 16.26/2.53 % (8409)Termination phase: Function definition elimination
% 16.26/2.53
% 16.26/2.53 % (8409)Memory used [KB]: 6268
% 16.26/2.53 % (8409)Time elapsed: 0.040 s
% 16.26/2.53 % (8409)Instructions burned: 86 (million)
% 16.26/2.53 % (8409)------------------------------
% 16.26/2.53 % (8409)------------------------------
% 16.83/2.55 % (8400)Instruction limit reached!
% 16.83/2.55 % (8400)------------------------------
% 16.83/2.55 % (8400)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.83/2.56 % (8412)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=3040:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/3040Mi)
% 16.83/2.56 % (8400)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.83/2.56 % (8400)Termination reason: Unknown
% 16.83/2.56 % (8400)Termination phase: Saturation
% 16.83/2.56
% 16.83/2.56 % (8400)Memory used [KB]: 13304
% 16.83/2.56 % (8400)Time elapsed: 0.117 s
% 16.83/2.56 % (8400)Instructions burned: 238 (million)
% 16.83/2.56 % (8400)------------------------------
% 16.83/2.56 % (8400)------------------------------
% 16.83/2.58 % (8413)dis+10_1:4_abs=on:bsd=on:fsd=on:nwc=3.0:sas=z3:slsq=on:slsqc=2:slsql=off:slsqr=1,8:i=192:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/192Mi)
% 17.00/2.60 % (8415)ins+10_1:1_br=off:gs=on:igrr=1/32:igs=34:igwr=on:nm=0:sp=const_min:uhcvi=on:updr=off:urr=ec_only:i=201:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/201Mi)
% 17.00/2.61 % (8414)dis+11_1:1_av=off:bd=off:br=off:erd=off:ins=1:nm=0:nwc=3.0:s2a=on:slsq=on:slsqc=2:slsqr=1,2:urr=on:i=163:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/163Mi)
% 17.00/2.62 % (8416)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=3643:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/3643Mi)
% 17.37/2.66 % (8418)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2977ds/292Mi)
% 17.37/2.67 % (8417)lrs+10_1:6_bd=off:drc=off:tgt=full:i=729:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/729Mi)
% 17.37/2.69 % (8410)Instruction limit reached!
% 17.37/2.69 % (8410)------------------------------
% 17.37/2.69 % (8410)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.37/2.69 % (8410)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.37/2.69 % (8410)Termination reason: Unknown
% 17.37/2.69 % (8410)Termination phase: Saturation
% 17.37/2.69
% 17.37/2.69 % (8410)Memory used [KB]: 10874
% 17.37/2.69 % (8410)Time elapsed: 0.079 s
% 17.37/2.69 % (8410)Instructions burned: 162 (million)
% 17.37/2.69 % (8410)------------------------------
% 17.37/2.69 % (8410)------------------------------
% 17.37/2.71 % (8396)Instruction limit reached!
% 17.37/2.71 % (8396)------------------------------
% 17.37/2.71 % (8396)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.37/2.71 % (8396)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.37/2.71 % (8396)Termination reason: Unknown
% 17.37/2.71 % (8396)Termination phase: Saturation
% 17.37/2.71
% 17.37/2.71 % (8396)Memory used [KB]: 14711
% 17.37/2.71 % (8396)Time elapsed: 0.768 s
% 17.37/2.71 % (8396)Instructions burned: 432 (million)
% 17.37/2.71 % (8396)------------------------------
% 17.37/2.71 % (8396)------------------------------
% 17.82/2.72 % (8408)Instruction limit reached!
% 17.82/2.72 % (8408)------------------------------
% 17.82/2.72 % (8408)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.82/2.73 % (8408)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.82/2.73 % (8408)Termination reason: Unknown
% 17.82/2.73 % (8408)Termination phase: Saturation
% 17.82/2.73
% 17.82/2.73 % (8408)Memory used [KB]: 13048
% 17.82/2.73 % (8408)Time elapsed: 0.395 s
% 17.82/2.73 % (8408)Instructions burned: 266 (million)
% 17.82/2.73 % (8408)------------------------------
% 17.82/2.73 % (8408)------------------------------
% 18.86/2.78 % (8419)dis+1011_1:64_av=off:bce=on:bd=off:bsd=on:cond=on:flr=on:foolp=on:nwc=2.0:plsq=on:plsqc=1:plsqr=37,6:s2agt=32:slsq=on:slsqc=1:slsql=off:slsqr=17,16:tgt=full:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2976ds/73Mi)
% 18.86/2.78 % (8404)Instruction limit reached!
% 18.86/2.78 % (8404)------------------------------
% 18.86/2.78 % (8404)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.86/2.79 % (8250)Instruction limit reached!
% 18.86/2.79 % (8250)------------------------------
% 18.86/2.79 % (8250)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.86/2.79 % (8250)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.86/2.79 % (8250)Termination reason: Unknown
% 18.86/2.79 % (8250)Termination phase: Saturation
% 18.86/2.79
% 18.86/2.79 % (8250)Memory used [KB]: 19701
% 18.86/2.79 % (8250)Time elapsed: 1.688 s
% 18.86/2.79 % (8250)Instructions burned: 1000 (million)
% 18.86/2.79 % (8250)------------------------------
% 18.86/2.79 % (8250)------------------------------
% 18.86/2.80 % (8404)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.86/2.80 % (8404)Termination reason: Unknown
% 18.86/2.80 % (8404)Termination phase: Saturation
% 18.86/2.80
% 18.86/2.80 % (8404)Memory used [KB]: 14200
% 18.86/2.80 % (8404)Time elapsed: 0.587 s
% 18.86/2.80 % (8404)Instructions burned: 281 (million)
% 18.86/2.80 % (8404)------------------------------
% 18.86/2.80 % (8404)------------------------------
% 18.86/2.81 % (8397)Instruction limit reached!
% 18.86/2.81 % (8397)------------------------------
% 18.86/2.81 % (8397)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.86/2.81 % (8397)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.86/2.81 % (8397)Termination reason: Unknown
% 18.86/2.81 % (8397)Termination phase: Saturation
% 18.86/2.81
% 18.86/2.81 % (8397)Memory used [KB]: 14072
% 18.86/2.81 % (8397)Time elapsed: 0.241 s
% 18.86/2.81 % (8397)Instructions burned: 441 (million)
% 18.86/2.81 % (8397)------------------------------
% 18.86/2.81 % (8397)------------------------------
% 18.86/2.82 % (8415)Instruction limit reached!
% 18.86/2.82 % (8415)------------------------------
% 18.86/2.82 % (8415)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.86/2.83 % (8420)lrs+21_1:8_av=off:bs=unit_only:drc=off:flr=on:lwlo=on:nwc=10.0:slsq=on:slsqr=1,4:tgt=ground:to=lpo:urr=on:i=1174:si=on:rawr=on:rtra=on_0 on theBenchmark for (2976ds/1174Mi)
% 18.86/2.83 % (8415)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.86/2.83 % (8415)Termination reason: Unknown
% 18.86/2.83 % (8415)Termination phase: Property scanning
% 18.86/2.83
% 18.86/2.83 % (8415)Memory used [KB]: 7675
% 18.86/2.83 % (8415)Time elapsed: 0.080 s
% 18.86/2.83 % (8415)Instructions burned: 201 (million)
% 18.86/2.83 % (8415)------------------------------
% 18.86/2.83 % (8415)------------------------------
% 18.86/2.85 % (8414)Instruction limit reached!
% 18.86/2.85 % (8414)------------------------------
% 18.86/2.85 % (8414)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.86/2.85 % (8414)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.86/2.85 % (8414)Termination reason: Unknown
% 18.86/2.85 % (8414)Termination phase: Function definition elimination
% 18.86/2.85
% 18.86/2.85 % (8414)Memory used [KB]: 6780
% 18.86/2.85 % (8414)Time elapsed: 0.064 s
% 18.86/2.85 % (8414)Instructions burned: 163 (million)
% 18.86/2.85 % (8414)------------------------------
% 18.86/2.85 % (8414)------------------------------
% 18.86/2.86 % (8413)Instruction limit reached!
% 18.86/2.86 % (8413)------------------------------
% 18.86/2.86 % (8413)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.86/2.86 % (8413)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.86/2.86 % (8413)Termination reason: Unknown
% 18.86/2.86 % (8413)Termination phase: Saturation
% 18.86/2.86
% 18.86/2.86 % (8413)Memory used [KB]: 7036
% 18.86/2.86 % (8413)Time elapsed: 0.085 s
% 18.86/2.86 % (8413)Instructions burned: 193 (million)
% 18.86/2.86 % (8413)------------------------------
% 18.86/2.86 % (8413)------------------------------
% 19.52/2.87 % (8421)dis+10_1:1024_br=off:nwc=3.0:plsq=on:plsqc=2:plsqr=7,4:urr=on:i=348:si=on:rawr=on:rtra=on_0 on theBenchmark for (2976ds/348Mi)
% 19.52/2.88 % (8419)Instruction limit reached!
% 19.52/2.88 % (8419)------------------------------
% 19.52/2.88 % (8419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 19.52/2.88 % (8419)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 19.52/2.88 % (8419)Termination reason: Unknown
% 19.52/2.88 % (8419)Termination phase: Property scanning
% 19.52/2.88
% 19.52/2.88 % (8419)Memory used [KB]: 6268
% 19.52/2.88 % (8419)Time elapsed: 0.044 s
% 19.52/2.88 % (8419)Instructions burned: 74 (million)
% 19.52/2.88 % (8419)------------------------------
% 19.52/2.88 % (8419)------------------------------
% 20.00/2.93 % (8423)lrs+10_1:1_anc=all:br=off:newcnf=on:s2a=on:s2at=2.0:sac=on:sd=1:ss=included:urr=on:i=3380:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/3380Mi)
% 20.02/2.94 % (8422)lrs+31_1:1_fs=off:fsr=off:kws=precedence:i=772:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/772Mi)
% 20.02/2.94 % (8425)ott+10_1:1_av=off:br=off:bsd=on:drc=off:s2a=on:sos=all:sp=reverse_arity:spb=goal:to=lpo:urr=on:i=198:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/198Mi)
% 20.02/2.95 % (8426)lrs+10_1:1_av=off:bd=off:lma=on:sfv=off:sos=all:spb=goal_then_units:to=lpo:i=226:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/226Mi)
% 20.02/2.96 % (8424)dis+1010_1:1024_av=off:awrs=converge:awrsf=256:bce=on:bsr=on:fde=unused:gs=on:ins=1:nwc=3.0:s2a=on:skr=on:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/388Mi)
% 20.02/2.99 % (8427)ott+10_1:5_bs=unit_only:drc=off:ins=1:nwc=2.16:rnwc=on:slsq=on:slsqr=13,149:sp=const_min:tgt=ground:to=lpo:uwa=interpreted_only:i=336:si=on:rawr=on:rtra=on_0 on theBenchmark for (2974ds/336Mi)
% 20.44/3.03 % (8428)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=206:si=on:rawr=on:rtra=on_0 on theBenchmark for (2974ds/206Mi)
% 20.44/3.03 % (8364)Instruction limit reached!
% 20.44/3.03 % (8364)------------------------------
% 20.44/3.03 % (8364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.44/3.04 % (8364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.44/3.04 % (8364)Termination reason: Unknown
% 20.44/3.04 % (8364)Termination phase: Saturation
% 20.44/3.04
% 20.44/3.04 % (8364)Memory used [KB]: 21620
% 20.44/3.04 % (8364)Time elapsed: 1.556 s
% 20.44/3.04 % (8364)Instructions burned: 916 (million)
% 20.44/3.04 % (8364)------------------------------
% 20.44/3.04 % (8364)------------------------------
% 20.80/3.07 % (8329)Instruction limit reached!
% 20.80/3.07 % (8329)------------------------------
% 20.80/3.07 % (8329)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.80/3.07 % (8329)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.80/3.07 % (8329)Termination reason: Unknown
% 20.80/3.07 % (8329)Termination phase: Saturation
% 20.80/3.07
% 20.80/3.07 % (8329)Memory used [KB]: 24306
% 20.80/3.07 % (8329)Time elapsed: 1.768 s
% 20.80/3.07 % (8329)Instructions burned: 998 (million)
% 20.80/3.07 % (8329)------------------------------
% 20.80/3.07 % (8329)------------------------------
% 20.80/3.11 % (8399)Instruction limit reached!
% 20.80/3.11 % (8399)------------------------------
% 20.80/3.11 % (8399)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.80/3.11 % (8399)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.80/3.11 % (8399)Termination reason: Unknown
% 20.80/3.11 % (8399)Termination phase: Saturation
% 20.80/3.11
% 20.80/3.11 % (8399)Memory used [KB]: 14328
% 20.80/3.11 % (8399)Time elapsed: 1.068 s
% 20.80/3.11 % (8399)Instructions burned: 504 (million)
% 20.80/3.11 % (8399)------------------------------
% 20.80/3.11 % (8399)------------------------------
% 20.80/3.12 % (8392)Instruction limit reached!
% 20.80/3.12 % (8392)------------------------------
% 20.80/3.12 % (8392)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.80/3.12 % (8392)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.80/3.12 % (8392)Termination reason: Unknown
% 20.80/3.12 % (8392)Termination phase: Saturation
% 20.80/3.12
% 20.80/3.12 % (8392)Memory used [KB]: 18293
% 20.80/3.12 % (8392)Time elapsed: 1.215 s
% 20.80/3.12 % (8392)Instructions burned: 670 (million)
% 20.80/3.12 % (8392)------------------------------
% 20.80/3.12 % (8392)------------------------------
% 20.80/3.15 % (8418)Instruction limit reached!
% 20.80/3.15 % (8418)------------------------------
% 20.80/3.15 % (8418)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.80/3.15 % (8418)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.80/3.15 % (8418)Termination reason: Unknown
% 20.80/3.15 % (8418)Termination phase: Saturation
% 20.80/3.15
% 20.80/3.15 % (8418)Memory used [KB]: 14072
% 20.80/3.15 % (8418)Time elapsed: 0.530 s
% 20.80/3.15 % (8418)Instructions burned: 293 (million)
% 20.80/3.15 % (8418)------------------------------
% 20.80/3.15 % (8418)------------------------------
% 20.80/3.15 % (8429)lrs+1011_1:1_nwc=5.0:sd=4:ss=included:st=5.0:i=2097:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/2097Mi)
% 21.53/3.20 % (8430)lrs+1002_1:1_av=off:gs=on:gsp=on:irw=on:nwc=2.0:sd=2:sos=on:ss=axioms:stl=30:urr=on:i=4956:si=on:rawr=on:rtra=on_0 on theBenchmark for (2972ds/4956Mi)
% 21.74/3.25 % (8431)ott+11_2:1_add=large:afp=4000:newcnf=on:sd=1:sos=on:sp=const_min:ss=axioms:i=322:si=on:rawr=on:rtra=on_0 on theBenchmark for (2972ds/322Mi)
% 21.74/3.25 % (8432)dis+3_1:64_av=off:cond=on:lcm=reverse:nwc=3.0:sos=on:updr=off:i=1004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2972ds/1004Mi)
% 21.74/3.26 % (8425)Instruction limit reached!
% 21.74/3.26 % (8425)------------------------------
% 21.74/3.26 % (8425)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 21.74/3.27 % (8426)Instruction limit reached!
% 21.74/3.27 % (8426)------------------------------
% 21.74/3.27 % (8426)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 21.74/3.27 % (8426)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 21.74/3.27 % (8426)Termination reason: Unknown
% 21.74/3.27 % (8426)Termination phase: Saturation
% 21.74/3.27
% 21.74/3.27 % (8426)Memory used [KB]: 7931
% 21.74/3.27 % (8426)Time elapsed: 0.109 s
% 21.74/3.27 % (8426)Instructions burned: 228 (million)
% 21.74/3.27 % (8426)------------------------------
% 21.74/3.27 % (8426)------------------------------
% 21.74/3.27 % (8425)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 21.74/3.27 % (8425)Termination reason: Unknown
% 21.74/3.27 % (8425)Termination phase: Saturation
% 21.74/3.27
% 21.74/3.27 % (8425)Memory used [KB]: 9466
% 21.74/3.27 % (8425)Time elapsed: 0.119 s
% 21.74/3.27 % (8425)Instructions burned: 198 (million)
% 21.74/3.27 % (8425)------------------------------
% 21.74/3.27 % (8425)------------------------------
% 21.74/3.28 % (8433)lrs+1011_1:5_av=off:awrs=decay:awrsf=97:bce=on:bsr=on:drc=off:flr=on:gs=on:ins=3:lwlo=on:newcnf=on:nm=0:plsq=on:plsqr=4437,256:s2a=on:s2at=4.0:s2pl=no:sims=off:skr=on:slsq=on:slsqc=0:slsqr=31,16:sos=all:sp=frequency:updr=off:i=654:si=on:rawr=on:rtra=on_0 on theBenchmark for (2972ds/654Mi)
% 23.12/3.37 % (8428)Instruction limit reached!
% 23.12/3.37 % (8428)------------------------------
% 23.12/3.37 % (8428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 23.64/3.37 % (8428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 23.64/3.37 % (8428)Termination reason: Unknown
% 23.64/3.37 % (8428)Termination phase: Saturation
% 23.64/3.37
% 23.64/3.37 % (8428)Memory used [KB]: 11897
% 23.64/3.37 % (8428)Time elapsed: 0.105 s
% 23.64/3.37 % (8428)Instructions burned: 207 (million)
% 23.64/3.37 % (8428)------------------------------
% 23.64/3.37 % (8428)------------------------------
% 23.64/3.39 % (8435)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=98:si=on:rawr=on:rtra=on_0 on theBenchmark for (2970ds/98Mi)
% 23.64/3.40 % (8434)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=455:si=on:rawr=on:rtra=on_0 on theBenchmark for (2970ds/455Mi)
% 23.64/3.44 % (8421)Instruction limit reached!
% 23.64/3.44 % (8421)------------------------------
% 23.64/3.44 % (8421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 23.64/3.44 % (8421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 23.64/3.44 % (8421)Termination reason: Unknown
% 23.64/3.44 % (8421)Termination phase: Saturation
% 23.64/3.44
% 23.64/3.44 % (8421)Memory used [KB]: 16502
% 23.64/3.44 % (8421)Time elapsed: 0.669 s
% 23.64/3.44 % (8421)Instructions burned: 348 (million)
% 23.64/3.44 % (8421)------------------------------
% 23.64/3.44 % (8421)------------------------------
% 24.52/3.51 % (8436)dis+1002_1:1_cond=on:erd=off:fsd=on:fsdmm=2:gs=on:newcnf=on:nwc=2.0:s2a=on:sims=off:sp=reverse_arity:ss=axioms:i=186:si=on:rawr=on:rtra=on_0 on theBenchmark for (2969ds/186Mi)
% 24.82/3.53 % (8427)Instruction limit reached!
% 24.82/3.53 % (8427)------------------------------
% 24.82/3.53 % (8427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 24.82/3.53 % (8427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 24.82/3.53 % (8427)Termination reason: Unknown
% 24.82/3.53 % (8427)Termination phase: Saturation
% 24.82/3.53
% 24.82/3.53 % (8427)Memory used [KB]: 13432
% 24.82/3.53 % (8427)Time elapsed: 0.182 s
% 24.82/3.53 % (8427)Instructions burned: 338 (million)
% 24.82/3.53 % (8427)------------------------------
% 24.82/3.53 % (8427)------------------------------
% 24.82/3.57 % (8437)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=473:si=on:rawr=on:rtra=on_0 on theBenchmark for (2969ds/473Mi)
% 24.82/3.58 % (8435)Instruction limit reached!
% 24.82/3.58 % (8435)------------------------------
% 24.82/3.58 % (8435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 24.82/3.58 % (8435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 24.82/3.58 % (8435)Termination reason: Unknown
% 24.82/3.58 % (8435)Termination phase: Property scanning
% 24.82/3.58
% 24.82/3.58 % (8435)Memory used [KB]: 6268
% 24.82/3.58 % (8435)Time elapsed: 0.043 s
% 24.82/3.58 % (8435)Instructions burned: 99 (million)
% 24.82/3.58 % (8435)------------------------------
% 24.82/3.58 % (8435)------------------------------
% 24.82/3.58 % (8424)Instruction limit reached!
% 24.82/3.58 % (8424)------------------------------
% 24.82/3.58 % (8424)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 25.38/3.60 % (8424)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 25.38/3.60 % (8424)Termination reason: Unknown
% 25.38/3.60 % (8424)Termination phase: Saturation
% 25.38/3.60
% 25.38/3.60 % (8424)Memory used [KB]: 17782
% 25.38/3.60 % (8424)Time elapsed: 0.744 s
% 25.38/3.60 % (8424)Instructions burned: 388 (million)
% 25.38/3.60 % (8424)------------------------------
% 25.38/3.60 % (8424)------------------------------
% 25.38/3.65 % (8438)dis+1010_1:16_fsd=on:nicw=on:ss=included:i=433:si=on:rawr=on:rtra=on_0 on theBenchmark for (2968ds/433Mi)
% 25.84/3.72 % (8439)lrs+10_1:32_abs=on:br=off:urr=ec_only:i=453:si=on:rawr=on:rtra=on_0 on theBenchmark for (2967ds/453Mi)
% 25.84/3.72 % (8440)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=802:si=on:rawr=on:rtra=on_0 on theBenchmark for (2967ds/802Mi)
% 25.84/3.76 % (8431)Instruction limit reached!
% 25.84/3.76 % (8431)------------------------------
% 25.84/3.76 % (8431)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 25.84/3.76 % (8431)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 25.84/3.76 % (8431)Termination reason: Unknown
% 25.84/3.76 % (8431)Termination phase: Saturation
% 25.84/3.76
% 25.84/3.76 % (8431)Memory used [KB]: 11513
% 25.84/3.76 % (8431)Time elapsed: 0.154 s
% 25.84/3.76 % (8431)Instructions burned: 322 (million)
% 25.84/3.76 % (8431)------------------------------
% 25.84/3.76 % (8431)------------------------------
% 26.53/3.77 % (8436)Instruction limit reached!
% 26.53/3.77 % (8436)------------------------------
% 26.53/3.77 % (8436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 26.53/3.77 % (8436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 26.53/3.77 % (8436)Termination reason: Unknown
% 26.53/3.77 % (8436)Termination phase: Saturation
% 26.53/3.77
% 26.53/3.77 % (8436)Memory used [KB]: 16247
% 26.53/3.77 % (8436)Time elapsed: 0.088 s
% 26.53/3.77 % (8436)Instructions burned: 187 (million)
% 26.53/3.77 % (8436)------------------------------
% 26.53/3.77 % (8436)------------------------------
% 27.32/3.86 % (8405)Instruction limit reached!
% 27.32/3.86 % (8405)------------------------------
% 27.32/3.86 % (8405)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 27.32/3.86 % (8405)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 27.32/3.86 % (8405)Termination reason: Unknown
% 27.32/3.86 % (8405)Termination phase: Saturation
% 27.32/3.86
% 27.32/3.86 % (8405)Memory used [KB]: 16375
% 27.32/3.86 % (8405)Time elapsed: 1.630 s
% 27.32/3.86 % (8405)Instructions burned: 997 (million)
% 27.32/3.86 % (8405)------------------------------
% 27.32/3.86 % (8405)------------------------------
% 27.32/3.88 % (8442)dis+21_1:1_av=off:nwc=5.0:s2a=on:s2at=2.2:spb=goal_then_units:to=lpo:i=452:si=on:rawr=on:rtra=on_0 on theBenchmark for (2965ds/452Mi)
% 27.32/3.89 % (8441)dis+1002_1:1_ins=1:sd=1:sos=on:ss=axioms:to=lpo:i=848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2966ds/848Mi)
% 27.32/3.90 % (8417)Instruction limit reached!
% 27.32/3.90 % (8417)------------------------------
% 27.32/3.90 % (8417)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 27.94/3.91 % (8417)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 27.94/3.91 % (8417)Termination reason: Unknown
% 27.94/3.91 % (8417)Termination phase: Saturation
% 27.94/3.91
% 27.94/3.91 % (8417)Memory used [KB]: 19061
% 27.94/3.91 % (8417)Time elapsed: 1.335 s
% 27.94/3.91 % (8417)Instructions burned: 730 (million)
% 27.94/3.91 % (8417)------------------------------
% 27.94/3.91 % (8417)------------------------------
% 28.48/4.00 % (8443)lrs+10_1:1_atotf=0.1:lcm=predicate:nwc=5.0:rnwc=on:s2a=on:s2at=2.0:sac=on:sos=on:spb=goal_then_units:urr=on:i=644:si=on:rawr=on:rtra=on_0 on theBenchmark for (2965ds/644Mi)
% 28.48/4.02 % (8444)lrs+11_1:128_aac=none:avsq=on:avsqc=2:avsql=on:avsqr=1,16:awrs=converge:bs=on:nm=0:plsq=on:plsqc=1:plsqr=65,12:sos=on:spb=goal_then_units:to=lpo:urr=on:i=855:si=on:rawr=on:rtra=on_0 on theBenchmark for (2964ds/855Mi)
% 28.48/4.02 % (8434)Instruction limit reached!
% 28.48/4.02 % (8434)------------------------------
% 28.48/4.02 % (8434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 28.48/4.02 % (8434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 28.48/4.02 % (8434)Termination reason: Unknown
% 28.48/4.02 % (8434)Termination phase: Blocked clause elimination
% 28.48/4.02
% 28.48/4.02 % (8434)Memory used [KB]: 9850
% 28.48/4.02 % (8434)Time elapsed: 0.209 s
% 28.48/4.02 % (8434)Instructions burned: 456 (million)
% 28.48/4.02 % (8434)------------------------------
% 28.48/4.02 % (8434)------------------------------
% 29.36/4.11 % (8367)Instruction limit reached!
% 29.36/4.11 % (8367)------------------------------
% 29.36/4.11 % (8367)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 29.36/4.11 % (8367)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 29.36/4.11 % (8367)Termination reason: Unknown
% 29.36/4.11 % (8367)Termination phase: Saturation
% 29.36/4.11
% 29.36/4.11 % (8367)Memory used [KB]: 39530
% 29.36/4.11 % (8367)Time elapsed: 2.566 s
% 29.36/4.11 % (8367)Instructions burned: 1287 (million)
% 29.36/4.11 % (8367)------------------------------
% 29.36/4.11 % (8367)------------------------------
% 29.49/4.13 % (8422)Instruction limit reached!
% 29.49/4.13 % (8422)------------------------------
% 29.49/4.13 % (8422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 29.49/4.13 % (8422)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 29.49/4.13 % (8422)Termination reason: Unknown
% 29.49/4.13 % (8422)Termination phase: Saturation
% 29.49/4.13
% 29.49/4.13 % (8422)Memory used [KB]: 18805
% 29.49/4.13 % (8422)Time elapsed: 1.299 s
% 29.49/4.13 % (8422)Instructions burned: 773 (million)
% 29.49/4.13 % (8422)------------------------------
% 29.49/4.13 % (8422)------------------------------
% 29.49/4.14 % (8445)lrs+11_4:1_acc=on:alpa=true:awrs=converge:bsr=unit_only:fsd=on:gs=on:gsaa=from_current:nicw=on:s2a=on:s2at=2.0:sac=on:slsq=on:slsqc=2:slsqr=11,120:sos=all:sp=weighted_frequency:spb=goal_then_units:urr=on:i=3379:si=on:rawr=on:rtra=on_0 on theBenchmark for (2963ds/3379Mi)
% 29.49/4.15 % (8368)Instruction limit reached!
% 29.49/4.15 % (8368)------------------------------
% 29.49/4.15 % (8368)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 29.49/4.15 % (8368)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 29.49/4.15 % (8368)Termination reason: Unknown
% 29.49/4.15 % (8368)Termination phase: Saturation
% 29.49/4.15
% 29.49/4.15 % (8368)Memory used [KB]: 31214
% 29.49/4.15 % (8368)Time elapsed: 2.578 s
% 29.49/4.15 % (8368)Instructions burned: 1503 (million)
% 29.49/4.15 % (8368)------------------------------
% 29.49/4.15 % (8368)------------------------------
% 29.49/4.15 % (8379)Instruction limit reached!
% 29.49/4.15 % (8379)------------------------------
% 29.49/4.15 % (8379)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 29.49/4.15 % (8379)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 29.49/4.15 % (8379)Termination reason: Unknown
% 29.49/4.15 % (8379)Termination phase: Saturation
% 29.49/4.15
% 29.49/4.15 % (8379)Memory used [KB]: 16247
% 29.49/4.15 % (8379)Time elapsed: 2.454 s
% 29.49/4.15 % (8379)Instructions burned: 1486 (million)
% 29.49/4.15 % (8379)------------------------------
% 29.49/4.15 % (8379)------------------------------
% 29.49/4.16 % (8385)Instruction limit reached!
% 29.49/4.16 % (8385)------------------------------
% 29.49/4.16 % (8385)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 29.49/4.16 % (8385)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 29.49/4.16 % (8385)Termination reason: Unknown
% 29.49/4.16 % (8385)Termination phase: Saturation
% 29.49/4.16
% 29.49/4.16 % (8385)Memory used [KB]: 21875
% 29.49/4.16 % (8385)Time elapsed: 2.332 s
% 29.49/4.16 % (8385)Instructions burned: 1345 (million)
% 29.49/4.16 % (8385)------------------------------
% 29.49/4.16 % (8385)------------------------------
% 29.49/4.16 % (8382)Instruction limit reached!
% 29.49/4.16 % (8382)------------------------------
% 29.49/4.16 % (8382)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 29.49/4.17 % (8382)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 29.49/4.17 % (8382)Termination reason: Unknown
% 29.49/4.17 % (8382)Termination phase: Saturation
% 29.49/4.17
% 29.49/4.17 % (8382)Memory used [KB]: 23539
% 29.49/4.17 % (8382)Time elapsed: 2.377 s
% 29.49/4.17 % (8382)Instructions burned: 1488 (million)
% 29.49/4.17 % (8382)------------------------------
% 29.49/4.17 % (8382)------------------------------
% 30.08/4.23 % (8433)Instruction limit reached!
% 30.08/4.23 % (8433)------------------------------
% 30.08/4.23 % (8433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 30.08/4.23 % (8433)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 30.08/4.23 % (8433)Termination reason: Unknown
% 30.08/4.23 % (8433)Termination phase: Blocked clause elimination
% 30.08/4.23
% 30.08/4.23 % (8433)Memory used [KB]: 11385
% 30.08/4.23 % (8433)Time elapsed: 0.279 s
% 30.08/4.23 % (8433)Instructions burned: 656 (million)
% 30.08/4.23 % (8433)------------------------------
% 30.08/4.23 % (8433)------------------------------
% 30.08/4.23 % (8446)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=1340:si=on:rawr=on:rtra=on_0 on theBenchmark for (2962ds/1340Mi)
% 30.08/4.26 % (8447)dis+1011_2388710:563463_bce=on:ep=RS:erd=off:fs=off:fsr=off:sp=frequency:i=1024:si=on:rawr=on:rtra=on_0 on theBenchmark for (2962ds/1024Mi)
% 30.08/4.28 % (8451)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=670:si=on:rawr=on:rtra=on_0 on theBenchmark for (2961ds/670Mi)
% 30.08/4.28 % (8450)dis+10_1:1_av=off:ep=RS:lcm=reverse:newcnf=on:s2a=on:s2at=3.0:i=2849:si=on:rawr=on:rtra=on_0 on theBenchmark for (2961ds/2849Mi)
% 30.08/4.28 % (8449)lrs+2_1:1_ep=R:fde=none:lcm=reverse:nwc=5.0:sos=on:i=543:si=on:rawr=on:rtra=on_0 on theBenchmark for (2961ds/543Mi)
% 30.53/4.29 % (8448)lrs+10_1:1_sd=4:sos=on:spb=goal:ss=axioms:st=3.7:to=lpo:urr=on:i=480:si=on:rawr=on:rtra=on_0 on theBenchmark for (2961ds/480Mi)
% 30.53/4.35 % (8452)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=918:si=on:rawr=on:rtra=on_0 on theBenchmark for (2961ds/918Mi)
% 30.53/4.35 % (8438)Instruction limit reached!
% 30.53/4.35 % (8438)------------------------------
% 30.53/4.35 % (8438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 30.53/4.35 % (8438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 30.53/4.35 % (8438)Termination reason: Unknown
% 30.53/4.35 % (8438)Termination phase: Saturation
% 30.53/4.35
% 30.53/4.35 % (8438)Memory used [KB]: 13560
% 30.53/4.35 % (8438)Time elapsed: 0.771 s
% 30.53/4.35 % (8438)Instructions burned: 434 (million)
% 30.53/4.35 % (8438)------------------------------
% 30.53/4.35 % (8438)------------------------------
% 30.96/4.38 % (8437)Instruction limit reached!
% 30.96/4.38 % (8437)------------------------------
% 30.96/4.38 % (8437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 30.96/4.38 % (8437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 30.96/4.38 % (8437)Termination reason: Unknown
% 30.96/4.38 % (8437)Termination phase: Saturation
% 30.96/4.38
% 30.96/4.38 % (8437)Memory used [KB]: 13560
% 30.96/4.38 % (8437)Time elapsed: 0.903 s
% 30.96/4.38 % (8437)Instructions burned: 473 (million)
% 30.96/4.38 % (8437)------------------------------
% 30.96/4.38 % (8437)------------------------------
% 32.11/4.47 % (8453)ott+10_1:1_nwc=2.0:ss=axioms:st=1.3:urr=on:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2959ds/2016Mi)
% 32.11/4.48 % (8439)Instruction limit reached!
% 32.11/4.48 % (8439)------------------------------
% 32.11/4.48 % (8439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 32.11/4.48 % (8439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 32.11/4.48 % (8439)Termination reason: Unknown
% 32.11/4.48 % (8439)Termination phase: Saturation
% 32.11/4.48
% 32.11/4.48 % (8439)Memory used [KB]: 14200
% 32.11/4.48 % (8439)Time elapsed: 0.883 s
% 32.11/4.48 % (8439)Instructions burned: 454 (million)
% 32.11/4.48 % (8439)------------------------------
% 32.11/4.48 % (8439)------------------------------
% 32.11/4.48 % (8442)Instruction limit reached!
% 32.11/4.48 % (8442)------------------------------
% 32.11/4.48 % (8442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 32.11/4.48 % (8442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 32.11/4.48 % (8442)Termination reason: Unknown
% 32.11/4.48 % (8442)Termination phase: Saturation
% 32.11/4.48
% 32.11/4.48 % (8442)Memory used [KB]: 11257
% 32.11/4.48 % (8442)Time elapsed: 0.677 s
% 32.11/4.48 % (8442)Instructions burned: 453 (million)
% 32.11/4.48 % (8442)------------------------------
% 32.11/4.48 % (8442)------------------------------
% 32.11/4.51 % (8454)lrs+11_1:1_av=off:bce=on:bs=on:ep=RST:gsp=on:nm=0:s2a=on:ss=included:i=124:si=on:rawr=on:rtra=on_0 on theBenchmark for (2959ds/124Mi)
% 32.81/4.54 % (8387)Instruction limit reached!
% 32.81/4.54 % (8387)------------------------------
% 32.81/4.54 % (8387)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 32.81/4.56 % (8387)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 32.81/4.56 % (8387)Termination reason: Unknown
% 32.81/4.56 % (8387)Termination phase: Saturation
% 32.81/4.56
% 32.81/4.56 % (8387)Memory used [KB]: 35308
% 32.81/4.56 % (8387)Time elapsed: 2.704 s
% 32.81/4.56 % (8387)Instructions burned: 1499 (million)
% 32.81/4.56 % (8387)------------------------------
% 32.81/4.56 % (8387)------------------------------
% 33.28/4.60 % (8455)lrs+1011_1:1_av=off:br=off:erd=off:ins=1:nm=3:nwc=3.0:s2a=on:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2958ds/439Mi)
% 33.28/4.61 % (8456)dis+1010_5:1_abs=on:ep=RST:fde=unused:gsp=on:ins=1:nwc=10.0:s2a=on:s2at=1.5:sas=z3:sp=reverse_frequency:i=778:si=on:rawr=on:rtra=on_0 on theBenchmark for (2958ds/778Mi)
% 33.88/4.70 % (8454)Instruction limit reached!
% 33.88/4.70 % (8454)------------------------------
% 33.88/4.70 % (8454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 33.88/4.70 % (8454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 33.88/4.70 % (8454)Termination reason: Unknown
% 33.88/4.70 % (8454)Termination phase: Property scanning
% 33.88/4.70
% 33.88/4.70 % (8454)Memory used [KB]: 6524
% 33.88/4.70 % (8454)Time elapsed: 0.052 s
% 33.88/4.70 % (8454)Instructions burned: 127 (million)
% 33.88/4.70 % (8454)------------------------------
% 33.88/4.70 % (8454)------------------------------
% 33.88/4.71 % (8457)ott+10_1:1_bsr=unit_only:cond=on:nm=16:sd=1:sp=frequency:ss=included:i=105:si=on:rawr=on:rtra=on_0 on theBenchmark for (2957ds/105Mi)
% 34.35/4.75 % (8394)Instruction limit reached!
% 34.35/4.75 % (8394)------------------------------
% 34.35/4.75 % (8394)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 34.35/4.75 % (8394)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 34.35/4.75 % (8394)Termination reason: Unknown
% 34.35/4.75 % (8394)Termination phase: Saturation
% 34.35/4.75
% 34.35/4.75 % (8394)Memory used [KB]: 31982
% 34.35/4.75 % (8394)Time elapsed: 2.830 s
% 34.35/4.75 % (8394)Instructions burned: 1736 (million)
% 34.35/4.75 % (8394)------------------------------
% 34.35/4.75 % (8394)------------------------------
% 34.35/4.80 % (8458)dis+1011_1:10_av=off:awrs=decay:bce=on:bd=off:bsd=on:nwc=2.0:i=1536:si=on:rawr=on:rtra=on_0 on theBenchmark for (2956ds/1536Mi)
% 34.35/4.82 % (8420)Instruction limit reached!
% 34.35/4.82 % (8420)------------------------------
% 34.35/4.82 % (8420)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 34.35/4.82 % (8420)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 34.35/4.82 % (8420)Termination reason: Unknown
% 34.35/4.82 % (8420)Termination phase: Saturation
% 34.35/4.82
% 34.35/4.82 % (8420)Memory used [KB]: 15479
% 34.35/4.82 % (8420)Time elapsed: 2.063 s
% 34.35/4.82 % (8420)Instructions burned: 1176 (million)
% 34.35/4.82 % (8420)------------------------------
% 34.35/4.82 % (8420)------------------------------
% 34.92/4.84 % (8457)Instruction limit reached!
% 34.92/4.84 % (8457)------------------------------
% 34.92/4.84 % (8457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 34.92/4.85 % (8411)Instruction limit reached!
% 34.92/4.85 % (8411)------------------------------
% 34.92/4.85 % (8411)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 34.92/4.85 % (8411)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 34.92/4.85 % (8411)Termination reason: Unknown
% 34.92/4.85 % (8411)Termination phase: Saturation
% 34.92/4.85
% 34.92/4.85 % (8411)Memory used [KB]: 22387
% 34.92/4.85 % (8411)Time elapsed: 2.476 s
% 34.92/4.85 % (8411)Instructions burned: 1291 (million)
% 34.92/4.85 % (8411)------------------------------
% 34.92/4.85 % (8411)------------------------------
% 34.92/4.86 % (8457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 34.92/4.86 % (8457)Termination reason: Unknown
% 34.92/4.86 % (8457)Termination phase: Property scanning
% 34.92/4.86
% 34.92/4.86 % (8457)Memory used [KB]: 6524
% 34.92/4.86 % (8457)Time elapsed: 0.060 s
% 34.92/4.86 % (8457)Instructions burned: 107 (million)
% 34.92/4.86 % (8457)------------------------------
% 34.92/4.86 % (8457)------------------------------
% 35.42/4.89 % (8459)lrs+1002_1:1_atotf=0.3:avsq=on:avsqr=55,124:cond=on:nm=3:plsq=on:plsqc=1:plsql=on:plsqr=32,1:i=167:si=on:rawr=on:rtra=on_0 on theBenchmark for (2956ds/167Mi)
% 35.42/4.94 % (8460)lrs+10_3:1_abs=on:ep=RST:newcnf=on:nm=2:sas=z3:sd=1:sos=all:ss=included:to=lpo:i=4507:si=on:rawr=on:rtra=on_0 on theBenchmark for (2955ds/4507Mi)
% 35.85/4.96 % (8462)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=529:si=on:rawr=on:rtra=on_0 on theBenchmark for (2955ds/529Mi)
% 36.46/4.98 % (8461)dis+1004_1:1_br=off:fsd=on:urr=ec_only:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2955ds/93Mi)
% 36.46/4.99 % (8443)Instruction limit reached!
% 36.46/4.99 % (8443)------------------------------
% 36.46/4.99 % (8443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 36.46/5.00 % (8432)Instruction limit reached!
% 36.46/5.00 % (8432)------------------------------
% 36.46/5.00 % (8432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 36.46/5.00 % (8432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 36.46/5.00 % (8432)Termination reason: Unknown
% 36.46/5.00 % (8432)Termination phase: Saturation
% 36.46/5.00
% 36.46/5.00 % (8432)Memory used [KB]: 15607
% 36.46/5.00 % (8432)Time elapsed: 1.800 s
% 36.46/5.00 % (8432)Instructions burned: 1004 (million)
% 36.46/5.00 % (8432)------------------------------
% 36.46/5.00 % (8432)------------------------------
% 36.46/5.00 % (8443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 36.46/5.00 % (8443)Termination reason: Unknown
% 36.46/5.00 % (8443)Termination phase: Saturation
% 36.46/5.00
% 36.46/5.00 % (8443)Memory used [KB]: 17398
% 36.46/5.00 % (8443)Time elapsed: 1.113 s
% 36.46/5.00 % (8443)Instructions burned: 644 (million)
% 36.46/5.00 % (8443)------------------------------
% 36.46/5.00 % (8443)------------------------------
% 36.76/5.04 % (8440)Instruction limit reached!
% 36.76/5.04 % (8440)------------------------------
% 36.76/5.04 % (8440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 36.76/5.04 % (8440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 36.76/5.04 % (8440)Termination reason: Unknown
% 36.76/5.04 % (8440)Termination phase: Saturation
% 36.76/5.04
% 36.76/5.04 % (8440)Memory used [KB]: 10234
% 36.76/5.04 % (8440)Time elapsed: 1.423 s
% 36.76/5.04 % (8440)Instructions burned: 802 (million)
% 36.76/5.04 % (8440)------------------------------
% 36.76/5.04 % (8440)------------------------------
% 36.99/5.08 % (8448)Instruction limit reached!
% 36.99/5.08 % (8448)------------------------------
% 36.99/5.08 % (8448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 36.99/5.08 % (8448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 36.99/5.08 % (8448)Termination reason: Unknown
% 36.99/5.08 % (8448)Termination phase: Saturation
% 36.99/5.08
% 36.99/5.08 % (8448)Memory used [KB]: 14072
% 36.99/5.08 % (8448)Time elapsed: 0.244 s
% 36.99/5.08 % (8448)Instructions burned: 481 (million)
% 36.99/5.08 % (8448)------------------------------
% 36.99/5.08 % (8448)------------------------------
% 36.99/5.09 % (8463)lrs+1011_1:1024_av=off:br=off:s2at=3.0:slsq=on:slsqc=2:slsql=off:slsqr=1,8:urr=ec_only:i=1275:si=on:rawr=on:rtra=on_0 on theBenchmark for (2953ds/1275Mi)
% 37.51/5.13 % (8464)dis+10_1:1_av=off:gs=on:newcnf=on:nm=2:plsq=on:plsqr=32,1:sd=1:sos=all:ss=included:st=3.0:i=507:si=on:rawr=on:rtra=on_0 on theBenchmark for (2953ds/507Mi)
% 37.51/5.16 % (8461)Instruction limit reached!
% 37.51/5.16 % (8461)------------------------------
% 37.51/5.16 % (8461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 37.51/5.16 % (8461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 37.51/5.16 % (8461)Termination reason: Unknown
% 37.51/5.16 % (8461)Termination phase: Property scanning
% 37.51/5.16
% 37.51/5.16 % (8461)Memory used [KB]: 6396
% 37.51/5.16 % (8461)Time elapsed: 0.046 s
% 37.51/5.16 % (8461)Instructions burned: 96 (million)
% 37.51/5.16 % (8461)------------------------------
% 37.51/5.16 % (8461)------------------------------
% 37.87/5.17 % (8459)Instruction limit reached!
% 37.87/5.17 % (8459)------------------------------
% 37.87/5.17 % (8459)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 37.87/5.17 % (8459)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 37.87/5.17 % (8459)Termination reason: Unknown
% 37.87/5.17 % (8459)Termination phase: Saturation
% 37.87/5.17
% 37.87/5.17 % (8459)Memory used [KB]: 12665
% 37.87/5.17 % (8459)Time elapsed: 0.082 s
% 37.87/5.17 % (8459)Instructions burned: 168 (million)
% 37.87/5.17 % (8459)------------------------------
% 37.87/5.17 % (8459)------------------------------
% 37.87/5.20 % (8466)ott+10_1:1_fde=none:flr=on:s2a=on:i=210:si=on:rawr=on:rtra=on_0 on theBenchmark for (2952ds/210Mi)
% 37.87/5.20 % (8465)dis+1002_1:28_av=off:nwc=5.0:s2a=on:s2at=3.0:i=354:si=on:rawr=on:rtra=on_0 on theBenchmark for (2952ds/354Mi)
% 38.35/5.26 % (8444)Instruction limit reached!
% 38.35/5.26 % (8444)------------------------------
% 38.35/5.26 % (8444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 38.35/5.26 % (8444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 38.35/5.26 % (8444)Termination reason: Unknown
% 38.35/5.26 % (8444)Termination phase: Saturation
% 38.35/5.26
% 38.35/5.26 % (8444)Memory used [KB]: 15991
% 38.35/5.26 % (8444)Time elapsed: 0.408 s
% 38.35/5.26 % (8444)Instructions burned: 855 (million)
% 38.35/5.26 % (8444)------------------------------
% 38.35/5.26 % (8444)------------------------------
% 38.35/5.26 % (8449)Instruction limit reached!
% 38.35/5.26 % (8449)------------------------------
% 38.35/5.26 % (8449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 38.35/5.26 % (8449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 38.35/5.26 % (8449)Termination reason: Unknown
% 38.35/5.26 % (8449)Termination phase: Saturation
% 38.35/5.26
% 38.35/5.26 % (8449)Memory used [KB]: 15991
% 38.35/5.26 % (8449)Time elapsed: 1.046 s
% 38.35/5.26 % (8449)Instructions burned: 543 (million)
% 38.35/5.26 % (8449)------------------------------
% 38.35/5.26 % (8449)------------------------------
% 38.50/5.29 % (8467)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2952ds/93Mi)
% 38.50/5.30 % (8468)dis+1011_1:1_bsr=on:erd=off:nwc=5.0:plsq=on:plsqc=1:plsqr=107,4:s2a=on:s2at=1.5:sas=z3:sp=reverse_frequency:spb=units:updr=off:i=1114:si=on:rawr=on:rtra=on_0 on theBenchmark for (2951ds/1114Mi)
% 38.82/5.35 % (8441)Instruction limit reached!
% 38.82/5.35 % (8441)------------------------------
% 38.82/5.35 % (8441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 38.94/5.35 % (8451)Instruction limit reached!
% 38.94/5.35 % (8451)------------------------------
% 38.94/5.35 % (8451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 38.94/5.36 % (8441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 38.94/5.36 % (8441)Termination reason: Unknown
% 38.94/5.37 % (8441)Termination phase: Saturation
% 38.94/5.37
% 38.94/5.37 % (8441)Memory used [KB]: 19189
% 38.94/5.37 % (8441)Time elapsed: 1.571 s
% 38.94/5.37 % (8441)Instructions burned: 848 (million)
% 38.94/5.37 % (8441)------------------------------
% 38.94/5.37 % (8441)------------------------------
% 38.94/5.38 % (8451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 38.94/5.38 % (8451)Termination reason: Unknown
% 38.94/5.38 % (8451)Termination phase: Saturation
% 38.94/5.38
% 38.94/5.38 % (8451)Memory used [KB]: 16886
% 38.94/5.38 % (8451)Time elapsed: 1.136 s
% 38.94/5.38 % (8451)Instructions burned: 672 (million)
% 38.94/5.38 % (8451)------------------------------
% 38.94/5.38 % (8451)------------------------------
% 38.94/5.38 % (8455)Instruction limit reached!
% 38.94/5.38 % (8455)------------------------------
% 38.94/5.38 % (8455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 38.94/5.38 % (8455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 38.94/5.38 % (8455)Termination reason: Unknown
% 38.94/5.38 % (8455)Termination phase: Saturation
% 38.94/5.38
% 38.94/5.38 % (8455)Memory used [KB]: 11257
% 38.94/5.38 % (8455)Time elapsed: 0.859 s
% 38.94/5.38 % (8455)Instructions burned: 441 (million)
% 38.94/5.38 % (8455)------------------------------
% 38.94/5.38 % (8455)------------------------------
% 38.94/5.39 % (8469)dis+1011_1:1_newcnf=on:nwc=5.0:i=189:si=on:rawr=on:rtra=on_0 on theBenchmark for (2950ds/189Mi)
% 38.94/5.41 % (8470)lrs+1011_1:1_ep=R:gsp=on:nm=0:sos=on:spb=units:ss=included:i=351:si=on:rawr=on:rtra=on_0 on theBenchmark for (2950ds/351Mi)
% 39.41/5.43 % (8467)Instruction limit reached!
% 39.41/5.43 % (8467)------------------------------
% 39.41/5.43 % (8467)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 39.41/5.43 % (8467)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 39.41/5.43 % (8467)Termination reason: Unknown
% 39.41/5.43 % (8467)Termination phase: Function definition elimination
% 39.41/5.43
% 39.41/5.43 % (8467)Memory used [KB]: 6396
% 39.41/5.43 % (8467)Time elapsed: 0.045 s
% 39.41/5.43 % (8467)Instructions burned: 93 (million)
% 39.41/5.43 % (8467)------------------------------
% 39.41/5.43 % (8467)------------------------------
% 39.70/5.48 % (8471)lrs+1004_1:1_av=off:bd=off:sos=all:i=144:si=on:rawr=on:rtra=on_0 on theBenchmark for (2949ds/144Mi)
% 39.70/5.49 % (8472)ott+1003_1:1_bce=on:bd=preordered:drc=off:fd=preordered:to=lpo:uwa=ground:i=318:si=on:rawr=on:rtra=on_0 on theBenchmark for (2949ds/318Mi)
% 39.70/5.52 % (8473)dis+21_1:1_aac=none:er=known:lcm=predicate:nwc=3.0:sp=frequency:i=471:si=on:rawr=on:rtra=on_0 on theBenchmark for (2949ds/471Mi)
% 39.70/5.54 % (8474)lrs+10_1:4_drc=off:sos=on:to=lpo:i=689:si=on:rawr=on:rtra=on_0 on theBenchmark for (2949ds/689Mi)
% 40.99/5.57 % (8466)Instruction limit reached!
% 40.99/5.57 % (8466)------------------------------
% 40.99/5.57 % (8466)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 41.19/5.59 % (8466)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 41.19/5.59 % (8466)Termination reason: Unknown
% 41.19/5.59 % (8466)Termination phase: Saturation
% 41.19/5.59
% 41.19/5.59 % (8466)Memory used [KB]: 12025
% 41.19/5.59 % (8466)Time elapsed: 0.107 s
% 41.19/5.59 % (8466)Instructions burned: 211 (million)
% 41.19/5.59 % (8466)------------------------------
% 41.19/5.59 % (8466)------------------------------
% 41.60/5.63 % (8452)Instruction limit reached!
% 41.60/5.63 % (8452)------------------------------
% 41.60/5.63 % (8452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 41.74/5.65 % (8452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 41.74/5.65 % (8452)Termination reason: Unknown
% 41.74/5.65 % (8452)Termination phase: Saturation
% 41.74/5.65
% 41.74/5.65 % (8452)Memory used [KB]: 21875
% 41.74/5.65 % (8452)Time elapsed: 1.367 s
% 41.74/5.65 % (8452)Instructions burned: 919 (million)
% 41.74/5.65 % (8452)------------------------------
% 41.74/5.65 % (8452)------------------------------
% 41.74/5.67 % (8469)Instruction limit reached!
% 41.74/5.67 % (8469)------------------------------
% 41.74/5.67 % (8469)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 41.74/5.67 % (8469)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 41.74/5.67 % (8469)Termination reason: Unknown
% 41.74/5.67 % (8469)Termination phase: Saturation
% 41.74/5.67
% 41.74/5.67 % (8469)Memory used [KB]: 11385
% 41.74/5.67 % (8469)Time elapsed: 0.372 s
% 41.74/5.67 % (8469)Instructions burned: 190 (million)
% 41.74/5.67 % (8469)------------------------------
% 41.74/5.67 % (8469)------------------------------
% 41.74/5.68 % (8471)Instruction limit reached!
% 41.74/5.68 % (8471)------------------------------
% 41.74/5.68 % (8471)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 41.74/5.70 % (8456)Instruction limit reached!
% 41.74/5.70 % (8456)------------------------------
% 41.74/5.70 % (8456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 41.74/5.70 % (8471)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 41.74/5.70 % (8471)Termination reason: Unknown
% 41.74/5.70 % (8471)Termination phase: Saturation
% 41.74/5.70
% 41.74/5.70 % (8471)Memory used [KB]: 7675
% 41.74/5.70 % (8471)Time elapsed: 0.069 s
% 41.74/5.70 % (8471)Instructions burned: 144 (million)
% 41.74/5.70 % (8471)------------------------------
% 41.74/5.70 % (8471)------------------------------
% 41.74/5.70 % (8456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 41.74/5.70 % (8456)Termination reason: Unknown
% 41.74/5.70 % (8456)Termination phase: Saturation
% 41.74/5.70
% 41.74/5.70 % (8456)Memory used [KB]: 12153
% 41.74/5.70 % (8456)Time elapsed: 1.159 s
% 41.74/5.70 % (8456)Instructions burned: 778 (million)
% 41.74/5.70 % (8456)------------------------------
% 41.74/5.70 % (8456)------------------------------
% 42.25/5.72 % (8475)dis+1011_1:16_etr=on:fsd=on:fsr=off:ins=1:plsq=on:plsqr=32,1:sac=on:sp=frequency:spb=goal:ss=axioms:st=2.0:to=lpo:i=451:si=on:rawr=on:rtra=on_0 on theBenchmark for (2947ds/451Mi)
% 42.25/5.75 % (8476)lrs+1011_1:2_acc=on:avsq=on:avsqc=2:avsqr=1,16:awrs=converge:plsq=on:plsqc=1:plsqr=15,8:i=125:si=on:rawr=on:rtra=on_0 on theBenchmark for (2947ds/125Mi)
% 42.55/5.79 % (8477)lrs+1011_1:1_acc=model:avsq=on:bd=off:flr=on:fsd=on:gs=on:newcnf=on:plsq=on:plsql=on:plsqr=1,32:s2a=on:s2at=3.0:sac=on:skr=on:sos=on:sp=occurrence:updr=off:i=496:si=on:rawr=on:rtra=on_0 on theBenchmark for (2947ds/496Mi)
% 42.55/5.82 % (8465)Instruction limit reached!
% 42.55/5.82 % (8465)------------------------------
% 42.55/5.82 % (8465)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 42.55/5.82 % (8465)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 42.55/5.82 % (8465)Termination reason: Unknown
% 42.55/5.82 % (8465)Termination phase: Saturation
% 42.55/5.82
% 42.55/5.82 % (8465)Memory used [KB]: 8443
% 42.55/5.82 % (8465)Time elapsed: 0.735 s
% 42.55/5.82 % (8465)Instructions burned: 354 (million)
% 42.55/5.82 % (8465)------------------------------
% 42.55/5.82 % (8465)------------------------------
% 42.55/5.83 % (8478)dis+10_1:1024_drc=off:ins=1:to=lpo:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2946ds/370Mi)
% 42.55/5.84 % (8479)lrs+1002_1:64_av=off:bd=off:gsp=on:plsq=on:sos=on:i=134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2946ds/134Mi)
% 43.15/5.85 % (8462)Instruction limit reached!
% 43.15/5.85 % (8462)------------------------------
% 43.15/5.85 % (8462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 43.15/5.85 % (8462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 43.15/5.85 % (8462)Termination reason: Unknown
% 43.15/5.85 % (8462)Termination phase: Saturation
% 43.15/5.85
% 43.15/5.85 % (8462)Memory used [KB]: 16375
% 43.15/5.85 % (8462)Time elapsed: 0.942 s
% 43.15/5.85 % (8462)Instructions burned: 529 (million)
% 43.15/5.85 % (8462)------------------------------
% 43.15/5.85 % (8462)------------------------------
% 43.15/5.86 % (8470)Instruction limit reached!
% 43.15/5.86 % (8470)------------------------------
% 43.15/5.86 % (8470)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 43.15/5.86 % (8470)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 43.15/5.86 % (8470)Termination reason: Unknown
% 43.15/5.86 % (8470)Termination phase: Property scanning
% 43.15/5.86
% 43.15/5.86 % (8470)Memory used [KB]: 10618
% 43.15/5.86 % (8470)Time elapsed: 0.137 s
% 43.15/5.86 % (8470)Instructions burned: 351 (million)
% 43.15/5.86 % (8470)------------------------------
% 43.15/5.86 % (8470)------------------------------
% 43.35/5.89 % (8447)Instruction limit reached!
% 43.35/5.89 % (8447)------------------------------
% 43.35/5.89 % (8447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 43.35/5.90 % (8447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 43.35/5.90 % (8447)Termination reason: Unknown
% 43.35/5.90 % (8447)Termination phase: Saturation
% 43.35/5.90
% 43.35/5.90 % (8447)Memory used [KB]: 27504
% 43.35/5.90 % (8447)Time elapsed: 1.722 s
% 43.35/5.90 % (8447)Instructions burned: 1026 (million)
% 43.35/5.90 % (8447)------------------------------
% 43.35/5.90 % (8447)------------------------------
% 43.35/5.93 % (8480)lrs+1010_1:3_aac=none:anc=all_dependent:bsr=on:fsr=off:nwc=1.5:sos=on:i=401:si=on:rawr=on:rtra=on_0 on theBenchmark for (2945ds/401Mi)
% 43.65/5.94 % (8476)Instruction limit reached!
% 43.65/5.94 % (8476)------------------------------
% 43.65/5.94 % (8476)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 43.65/5.94 % (8476)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 43.65/5.94 % (8476)Termination reason: Unknown
% 43.65/5.94 % (8476)Termination phase: Saturation
% 43.65/5.94
% 43.65/5.94 % (8476)Memory used [KB]: 11129
% 43.65/5.94 % (8476)Time elapsed: 0.076 s
% 43.65/5.94 % (8476)Instructions burned: 125 (million)
% 43.65/5.94 % (8476)------------------------------
% 43.65/5.94 % (8476)------------------------------
% 43.81/5.96 % (8464)Instruction limit reached!
% 43.81/5.96 % (8464)------------------------------
% 43.81/5.96 % (8464)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 43.81/5.96 % (8464)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 43.81/5.96 % (8464)Termination reason: Unknown
% 43.81/5.96 % (8464)Termination phase: Saturation
% 43.81/5.96
% 43.81/5.96 % (8464)Memory used [KB]: 17398
% 43.81/5.96 % (8464)Time elapsed: 0.867 s
% 43.81/5.96 % (8464)Instructions burned: 508 (million)
% 43.81/5.96 % (8464)------------------------------
% 43.81/5.96 % (8464)------------------------------
% 43.81/5.98 % (8481)dis+1011_1:1_aac=none:bs=unit_only:ep=RS:gsp=on:nwc=5.0:rnwc=on:s2a=on:s2at=3.0:slsq=on:slsqc=2:slsqr=1,8:i=1879:si=on:rawr=on:rtra=on_0 on theBenchmark for (2945ds/1879Mi)
% 43.81/6.00 % (8472)Instruction limit reached!
% 43.81/6.00 % (8472)------------------------------
% 43.81/6.00 % (8472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 43.81/6.00 % (8482)lrs+10_1:1024_br=off:bs=unit_only:ep=RS:flr=on:fsr=off:lcm=reverse:slsq=on:sos=all:sp=frequency:urr=on:i=392:si=on:rawr=on:rtra=on_0 on theBenchmark for (2944ds/392Mi)
% 43.81/6.01 % (8472)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 43.81/6.01 % (8472)Termination reason: Unknown
% 43.81/6.01 % (8472)Termination phase: Saturation
% 43.81/6.01
% 43.81/6.01 % (8472)Memory used [KB]: 14072
% 43.81/6.01 % (8472)Time elapsed: 0.158 s
% 43.81/6.01 % (8472)Instructions burned: 319 (million)
% 43.81/6.01 % (8472)------------------------------
% 43.81/6.01 % (8472)------------------------------
% 44.21/6.04 % (8402)Instruction limit reached!
% 44.21/6.04 % (8402)------------------------------
% 44.21/6.04 % (8402)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 44.21/6.04 % (8483)lrs+11_1:32_awrs=converge:awrsf=32:bd=preordered:drc=off:fd=preordered:flr=on:to=lpo:i=3473:si=on:rawr=on:rtra=on_0 on theBenchmark for (2944ds/3473Mi)
% 44.21/6.04 % (8402)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 44.21/6.04 % (8402)Termination reason: Unknown
% 44.21/6.04 % (8402)Termination phase: Saturation
% 44.21/6.04
% 44.21/6.04 % (8402)Memory used [KB]: 30831
% 44.21/6.04 % (8402)Time elapsed: 3.878 s
% 44.21/6.04 % (8402)Instructions burned: 2544 (million)
% 44.21/6.04 % (8402)------------------------------
% 44.21/6.04 % (8402)------------------------------
% 44.21/6.06 % (8484)dis+11_1:1_av=off:bce=on:bs=on:ep=RST:gsp=on:nm=0:ss=included:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2944ds/131Mi)
% 44.21/6.06 % (8479)Instruction limit reached!
% 44.21/6.06 % (8479)------------------------------
% 44.21/6.06 % (8479)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 44.21/6.06 % (8479)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 44.21/6.06 % (8479)Termination reason: Unknown
% 44.21/6.06 % (8479)Termination phase: Saturation
% 44.21/6.06
% 44.21/6.06 % (8479)Memory used [KB]: 6524
% 44.21/6.06 % (8479)Time elapsed: 0.060 s
% 44.21/6.06 % (8479)Instructions burned: 134 (million)
% 44.21/6.06 % (8479)------------------------------
% 44.21/6.06 % (8479)------------------------------
% 45.12/6.09 % (8395)Instruction limit reached!
% 45.12/6.09 % (8395)------------------------------
% 45.12/6.09 % (8395)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 45.12/6.10 % (8395)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 45.12/6.10 % (8395)Termination reason: Unknown
% 45.12/6.10 % (8395)Termination phase: Saturation
% 45.12/6.10
% 45.12/6.10 % (8395)Memory used [KB]: 28528
% 45.12/6.10 % (8395)Time elapsed: 4.162 s
% 45.12/6.10 % (8395)Instructions burned: 2683 (million)
% 45.12/6.10 % (8395)------------------------------
% 45.12/6.10 % (8395)------------------------------
% 45.12/6.12 % (8485)lrs+10_1:64_plsq=on:plsqr=32,1:sac=on:sos=all:ss=axioms:st=5.0:i=154:si=on:rawr=on:rtra=on_0 on theBenchmark for (2943ds/154Mi)
% 45.12/6.13 % (8486)lrs+10_1:1_ev=cautious:sas=z3:tgt=full:i=668:si=on:rawr=on:rtra=on_0 on theBenchmark for (2943ds/668Mi)
% 46.04/6.20 % (8487)lrs+1011_1:4_av=off:bd=off:drc=off:ins=1:nwc=2.0:spb=goal:tgt=full:to=lpo:i=254:si=on:rawr=on:rtra=on_0 on theBenchmark for (2943ds/254Mi)
% 46.04/6.22 % (8488)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=1452:si=on:rawr=on:rtra=on_0 on theBenchmark for (2942ds/1452Mi)
% 46.04/6.22 % (8484)Instruction limit reached!
% 46.04/6.22 % (8484)------------------------------
% 46.04/6.22 % (8484)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 46.04/6.22 % (8484)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 46.04/6.22 % (8484)Termination reason: Unknown
% 46.04/6.22 % (8484)Termination phase: Property scanning
% 46.04/6.22
% 46.04/6.22 % (8484)Memory used [KB]: 6524
% 46.04/6.22 % (8484)Time elapsed: 0.054 s
% 46.04/6.22 % (8484)Instructions burned: 131 (million)
% 46.04/6.22 % (8484)------------------------------
% 46.04/6.22 % (8484)------------------------------
% 46.41/6.24 % (8489)ott+10_1:1_bd=preordered:drc=off:fde=unused:slsq=on:slsqr=10,31:sp=const_min:tgt=ground:to=lpo:urr=ec_only:i=2772:si=on:rawr=on:rtra=on_0 on theBenchmark for (2942ds/2772Mi)
% 46.41/6.30 % (8473)Instruction limit reached!
% 46.41/6.30 % (8473)------------------------------
% 46.41/6.30 % (8473)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 46.91/6.32 % (8473)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 46.91/6.32 % (8473)Termination reason: Unknown
% 46.91/6.32 % (8473)Termination phase: Saturation
% 46.91/6.32
% 46.91/6.32 % (8473)Memory used [KB]: 15863
% 46.91/6.32 % (8473)Time elapsed: 0.902 s
% 46.91/6.32 % (8473)Instructions burned: 471 (million)
% 46.91/6.32 % (8473)------------------------------
% 46.91/6.32 % (8473)------------------------------
% 46.91/6.32 % (8475)Instruction limit reached!
% 46.91/6.32 % (8475)------------------------------
% 46.91/6.32 % (8475)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 46.91/6.32 % (8475)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 46.91/6.32 % (8475)Termination reason: Unknown
% 46.91/6.32 % (8475)Termination phase: Saturation
% 46.91/6.32
% 46.91/6.32 % (8475)Memory used [KB]: 14967
% 46.91/6.32 % (8475)Time elapsed: 0.721 s
% 46.91/6.32 % (8475)Instructions burned: 452 (million)
% 46.91/6.32 % (8475)------------------------------
% 46.91/6.32 % (8475)------------------------------
% 46.91/6.33 % (8485)Instruction limit reached!
% 46.91/6.33 % (8485)------------------------------
% 46.91/6.33 % (8485)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 46.91/6.33 % (8485)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 46.91/6.33 % (8485)Termination reason: Unknown
% 46.91/6.33 % (8485)Termination phase: Saturation
% 46.91/6.33
% 46.91/6.33 % (8485)Memory used [KB]: 12409
% 46.91/6.33 % (8485)Time elapsed: 0.104 s
% 46.91/6.33 % (8485)Instructions burned: 154 (million)
% 46.91/6.33 % (8485)------------------------------
% 46.91/6.33 % (8485)------------------------------
% 46.91/6.35 % (8490)dis+10_1:512_drc=off:fd=preordered:ins=2:kws=precedence:s2a=on:sp=unary_first:spb=intro:tgt=ground:i=3180:si=on:rawr=on:rtra=on_0 on theBenchmark for (2941ds/3180Mi)
% 47.39/6.40 % (8478)Instruction limit reached!
% 47.39/6.40 % (8478)------------------------------
% 47.39/6.40 % (8478)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 47.39/6.40 % (8478)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 47.39/6.40 % (8478)Termination reason: Unknown
% 47.39/6.40 % (8478)Termination phase: Saturation
% 47.39/6.40
% 47.39/6.40 % (8478)Memory used [KB]: 14456
% 47.39/6.40 % (8478)Time elapsed: 0.613 s
% 47.39/6.40 % (8478)Instructions burned: 370 (million)
% 47.39/6.40 % (8478)------------------------------
% 47.39/6.40 % (8478)------------------------------
% 47.39/6.44 % (8491)dis+1010_1:1_aac=none:anc=all:bs=on:erd=off:etr=on:flr=on:gsp=on:lcm=reverse:nm=5:nwc=3.0:sac=on:sfv=off:skr=on:sp=reverse_arity:urr=on:uwa=interpreted_only:i=1043:si=on:rawr=on:rtra=on_0 on theBenchmark for (2940ds/1043Mi)
% 47.39/6.44 % (8493)lrs+10_2:1_av=off:bsd=on:fd=off:nm=0:nwc=2.0:spb=goal:to=lpo:urr=on:i=604:si=on:rawr=on:rtra=on_0 on theBenchmark for (2940ds/604Mi)
% 47.98/6.48 % (8492)dis+1011_1:1_fd=preordered:tgt=ground:i=561:si=on:rawr=on:rtra=on_0 on theBenchmark for (2940ds/561Mi)
% 48.22/6.50 % (8494)lrs+10_1:16_br=off:fde=none:ins=1:nwc=3.0:sos=on:ss=axioms:urr=on:i=234:si=on:rawr=on:rtra=on_0 on theBenchmark for (2939ds/234Mi)
% 48.22/6.53 % (8480)Instruction limit reached!
% 48.22/6.53 % (8480)------------------------------
% 48.22/6.53 % (8480)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 48.22/6.53 % (8480)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 48.22/6.53 % (8480)Termination reason: Unknown
% 48.22/6.53 % (8480)Termination phase: Saturation
% 48.22/6.53
% 48.22/6.53 % (8480)Memory used [KB]: 14328
% 48.22/6.53 % (8480)Time elapsed: 0.667 s
% 48.22/6.53 % (8480)Instructions burned: 402 (million)
% 48.22/6.53 % (8480)------------------------------
% 48.22/6.53 % (8480)------------------------------
% 48.48/6.59 % (8487)Instruction limit reached!
% 48.48/6.59 % (8487)------------------------------
% 48.48/6.59 % (8487)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 48.48/6.61 % (8487)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 48.48/6.61 % (8487)Termination reason: Unknown
% 48.48/6.61 % (8487)Termination phase: Saturation
% 48.48/6.61
% 48.48/6.61 % (8487)Memory used [KB]: 7419
% 48.48/6.61 % (8487)Time elapsed: 0.123 s
% 48.48/6.61 % (8487)Instructions burned: 255 (million)
% 48.48/6.61 % (8487)------------------------------
% 48.48/6.61 % (8487)------------------------------
% 49.44/6.62 % (8446)Instruction limit reached!
% 49.44/6.62 % (8446)------------------------------
% 49.44/6.62 % (8446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 49.44/6.62 % (8477)Instruction limit reached!
% 49.44/6.62 % (8477)------------------------------
% 49.44/6.62 % (8477)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 49.44/6.63 % (8477)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 49.44/6.63 % (8477)Termination reason: Unknown
% 49.44/6.63 % (8477)Termination phase: Saturation
% 49.44/6.63
% 49.44/6.63 % (8477)Memory used [KB]: 17782
% 49.44/6.63 % (8477)Time elapsed: 0.271 s
% 49.44/6.63 % (8477)Instructions burned: 498 (million)
% 49.44/6.63 % (8477)------------------------------
% 49.44/6.63 % (8477)------------------------------
% 49.44/6.64 % (8446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 49.44/6.64 % (8446)Termination reason: Unknown
% 49.44/6.64 % (8446)Termination phase: Saturation
% 49.44/6.64
% 49.44/6.64 % (8446)Memory used [KB]: 31086
% 49.44/6.64 % (8446)Time elapsed: 2.446 s
% 49.44/6.64 % (8446)Instructions burned: 1340 (million)
% 49.44/6.64 % (8446)------------------------------
% 49.44/6.64 % (8446)------------------------------
% 49.44/6.67 % (8482)Instruction limit reached!
% 49.44/6.67 % (8482)------------------------------
% 49.44/6.67 % (8482)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 49.44/6.67 % (8482)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 49.44/6.67 % (8482)Termination reason: Unknown
% 49.44/6.67 % (8482)Termination phase: Saturation
% 49.44/6.67
% 49.44/6.67 % (8482)Memory used [KB]: 16119
% 49.44/6.67 % (8482)Time elapsed: 0.746 s
% 49.44/6.67 % (8482)Instructions burned: 392 (million)
% 49.44/6.67 % (8482)------------------------------
% 49.44/6.67 % (8482)------------------------------
% 49.85/6.68 % (8495)dis+1010_1:3_av=off:bd=off:bs=on:bsr=on:cond=on:gsp=on:slsq=on:slsqc=1:slsqr=1,4:uwa=all:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2938ds/109Mi)
% 49.85/6.71 % (8468)Instruction limit reached!
% 49.85/6.71 % (8468)------------------------------
% 49.85/6.71 % (8468)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 49.85/6.71 % (8468)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 49.85/6.71 % (8468)Termination reason: Unknown
% 49.85/6.71 % (8468)Termination phase: Saturation
% 49.85/6.71
% 49.85/6.71 % (8468)Memory used [KB]: 9338
% 49.85/6.71 % (8468)Time elapsed: 1.512 s
% 49.85/6.71 % (8468)Instructions burned: 1117 (million)
% 49.85/6.71 % (8468)------------------------------
% 49.85/6.71 % (8468)------------------------------
% 49.85/6.72 % (8496)ott+10_13:991_awrs=decay:awrsf=1:bd=preordered:drc=off:fd=preordered:sp=const_frequency:spb=goal_then_units:uwa=all:i=360:si=on:rawr=on:rtra=on_0 on theBenchmark for (2937ds/360Mi)
% 49.85/6.76 % (8497)dis+1003_1:1_bce=on:fs=off:fsr=off:gs=on:newcnf=on:plsq=on:plsqr=32,1:skr=on:sos=on:sp=frequency:spb=units:i=660:si=on:rawr=on:rtra=on_0 on theBenchmark for (2937ds/660Mi)
% 50.57/6.78 % (8498)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=982:si=on:rawr=on:rtra=on_0 on theBenchmark for (2937ds/982Mi)
% 50.70/6.81 % (8474)Instruction limit reached!
% 50.70/6.81 % (8474)------------------------------
% 50.70/6.81 % (8474)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 50.70/6.81 % (8499)dis+1011_39044:804583_anc=all:avsq=on:avsqr=302,909:awrs=decay:awrsf=20:bd=off:bsr=on:cond=on:gsp=on:nm=0:nwc=2.0:plsq=on:plsqr=9,13:s2a=on:s2agt=16:sac=on:thsq=on:thsqc=32:thsqd=32:thsql=off:to=lpo:updr=off:uwa=all:i=1174:si=on:rawr=on:rtra=on_0 on theBenchmark for (2936ds/1174Mi)
% 50.70/6.82 % (8474)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 50.70/6.82 % (8474)Termination reason: Unknown
% 50.70/6.82 % (8474)Termination phase: Saturation
% 50.70/6.82
% 50.70/6.82 % (8474)Memory used [KB]: 16502
% 50.70/6.82 % (8474)Time elapsed: 1.361 s
% 50.70/6.82 % (8474)Instructions burned: 690 (million)
% 50.70/6.82 % (8474)------------------------------
% 50.70/6.82 % (8474)------------------------------
% 50.95/6.84 % (8495)Instruction limit reached!
% 50.95/6.84 % (8495)------------------------------
% 50.95/6.84 % (8495)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 50.95/6.85 % (8500)dis+1003_1:128_avsq=on:bce=on:newcnf=on:urr=on:i=91:si=on:rawr=on:rtra=on_0 on theBenchmark for (2936ds/91Mi)
% 50.95/6.85 % (8495)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 50.95/6.85 % (8495)Termination reason: Unknown
% 50.95/6.85 % (8495)Termination phase: General splitting
% 50.95/6.85
% 50.95/6.85 % (8495)Memory used [KB]: 6524
% 50.95/6.85 % (8495)Time elapsed: 0.053 s
% 50.95/6.85 % (8495)Instructions burned: 109 (million)
% 50.95/6.85 % (8495)------------------------------
% 50.95/6.85 % (8495)------------------------------
% 50.95/6.89 % (8494)Instruction limit reached!
% 50.95/6.89 % (8494)------------------------------
% 50.95/6.89 % (8494)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 50.95/6.89 % (8494)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 50.95/6.89 % (8494)Termination reason: Unknown
% 50.95/6.89 % (8494)Termination phase: Saturation
% 50.95/6.89
% 50.95/6.89 % (8494)Memory used [KB]: 13176
% 50.95/6.89 % (8494)Time elapsed: 0.432 s
% 50.95/6.89 % (8494)Instructions burned: 235 (million)
% 50.95/6.89 % (8494)------------------------------
% 50.95/6.89 % (8494)------------------------------
% 51.46/6.95 % (8501)dis+10_1:1_ep=R:fde=none:fsr=off:slsq=on:slsqc=1:slsql=off:slsqr=1,4:ss=axioms:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2935ds/248Mi)
% 51.87/6.98 % (8486)Instruction limit reached!
% 51.87/6.98 % (8486)------------------------------
% 51.87/6.98 % (8486)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 51.87/6.98 % (8486)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 51.87/6.98 % (8486)Termination reason: Unknown
% 51.87/6.98 % (8486)Termination phase: Saturation
% 51.87/6.98
% 51.87/6.98 % (8486)Memory used [KB]: 9210
% 51.87/6.98 % (8486)Time elapsed: 0.914 s
% 51.87/6.98 % (8486)Instructions burned: 670 (million)
% 51.87/6.98 % (8486)------------------------------
% 51.87/6.98 % (8486)------------------------------
% 51.87/6.99 % (8502)fmb+10_1:1_fde=unused:fmbas=predicate:gsp=on:newcnf=on:nm=0:i=1985:si=on:rawr=on:rtra=on_0 on theBenchmark for (2935ds/1985Mi)
% 51.87/7.00 % (8500)Instruction limit reached!
% 51.87/7.00 % (8500)------------------------------
% 51.87/7.00 % (8500)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 51.87/7.00 % (8500)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 51.87/7.00 % (8500)Termination reason: Unknown
% 51.87/7.00 % (8500)Termination phase: Function definition elimination
% 51.87/7.00
% 51.87/7.00 % (8500)Memory used [KB]: 5884
% 51.87/7.00 % (8500)Time elapsed: 0.042 s
% 51.87/7.00 % (8500)Instructions burned: 92 (million)
% 51.87/7.00 % (8500)------------------------------
% 51.87/7.00 % (8500)------------------------------
% 51.87/7.01 % (8503)lrs+1002_1:1_sd=2:sos=on:ss=axioms:st=5.0:i=555:si=on:rawr=on:rtra=on_0 on theBenchmark for (2934ds/555Mi)
% 52.82/7.13 % (8493)Instruction limit reached!
% 52.82/7.13 % (8493)------------------------------
% 52.82/7.13 % (8493)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 52.82/7.13 % (8493)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 52.82/7.13 % (8493)Termination reason: Unknown
% 52.82/7.13 % (8493)Termination phase: Saturation
% 52.82/7.13
% 52.82/7.13 % (8493)Memory used [KB]: 9722
% 52.82/7.13 % (8493)Time elapsed: 0.246 s
% 52.82/7.13 % (8493)Instructions burned: 604 (million)
% 52.82/7.13 % (8493)------------------------------
% 52.82/7.13 % (8493)------------------------------
% 53.59/7.15 % (8504)lrs+1011_2:1_add=off:amm=sco:anc=none:br=off:sd=1:sos=all:ss=axioms:st=1.5:updr=off:urr=on:i=484:si=on:rawr=on:rtra=on_0 on theBenchmark for (2933ds/484Mi)
% 53.59/7.16 % (8505)lrs+1011_1:5_add=large:afp=4000:anc=none:irw=on:lma=on:nm=64:sac=on:sd=3:sos=on:sp=reverse_arity:ss=axioms:st=2.0:stl=30:updr=off:urr=on:i=362:si=on:rawr=on:rtra=on_0 on theBenchmark for (2933ds/362Mi)
% 53.59/7.19 % (8463)Instruction limit reached!
% 53.59/7.19 % (8463)------------------------------
% 53.59/7.19 % (8463)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 53.59/7.19 % (8463)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 53.59/7.19 % (8463)Termination reason: Unknown
% 53.59/7.19 % (8463)Termination phase: Saturation
% 53.59/7.19
% 53.59/7.19 % (8463)Memory used [KB]: 17526
% 53.59/7.19 % (8463)Time elapsed: 2.138 s
% 53.59/7.19 % (8463)Instructions burned: 1275 (million)
% 53.59/7.19 % (8463)------------------------------
% 53.59/7.19 % (8463)------------------------------
% 53.59/7.20 % (8429)Instruction limit reached!
% 53.59/7.20 % (8429)------------------------------
% 53.59/7.20 % (8429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 53.59/7.20 % (8429)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 53.59/7.20 % (8429)Termination reason: Unknown
% 53.59/7.20 % (8429)Termination phase: Saturation
% 53.59/7.20
% 53.59/7.20 % (8429)Memory used [KB]: 26353
% 53.59/7.20 % (8429)Time elapsed: 4.073 s
% 53.59/7.20 % (8429)Instructions burned: 2097 (million)
% 53.59/7.20 % (8429)------------------------------
% 53.59/7.20 % (8429)------------------------------
% 54.23/7.24 % (8506)ott+11_4:1_br=off:fde=unused:nm=16:s2a=on:sd=3:sp=frequency:ss=axioms:urr=on:i=5368:si=on:rawr=on:rtra=on_0 on theBenchmark for (2932ds/5368Mi)
% 54.23/7.27 % (8492)Instruction limit reached!
% 54.23/7.27 % (8492)------------------------------
% 54.23/7.27 % (8492)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 54.23/7.27 % (8492)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 54.23/7.27 % (8492)Termination reason: Unknown
% 54.23/7.27 % (8492)Termination phase: Saturation
% 54.23/7.27
% 54.23/7.27 % (8492)Memory used [KB]: 15735
% 54.23/7.27 % (8492)Time elapsed: 0.922 s
% 54.23/7.27 % (8492)Instructions burned: 561 (million)
% 54.23/7.27 % (8492)------------------------------
% 54.23/7.27 % (8492)------------------------------
% 54.70/7.31 % (8507)ott+4_8:1_acc=on:fsr=off:lcm=reverse:lma=on:sd=2:sos=all:ss=axioms:st=1.5:i=121:si=on:rawr=on:rtra=on_0 on theBenchmark for (2931ds/121Mi)
% 54.70/7.35 % (8496)Instruction limit reached!
% 54.70/7.35 % (8496)------------------------------
% 54.70/7.35 % (8496)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 54.70/7.35 % (8508)lrs+1011_1:1_afq=1.4:bd=off:cond=fast:fde=unused:gs=on:gsem=off:irw=on:lma=on:sd=2:sos=all:sp=const_min:ss=axioms:stl=40:i=256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2931ds/256Mi)
% 54.70/7.35 % (8501)Instruction limit reached!
% 54.70/7.35 % (8501)------------------------------
% 54.70/7.35 % (8501)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 54.70/7.35 % (8501)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 54.70/7.35 % (8501)Termination reason: Unknown
% 54.70/7.35 % (8501)Termination phase: Saturation
% 54.70/7.35
% 54.70/7.35 % (8501)Memory used [KB]: 13304
% 54.70/7.35 % (8501)Time elapsed: 0.513 s
% 54.70/7.35 % (8501)Instructions burned: 248 (million)
% 54.70/7.35 % (8501)------------------------------
% 54.70/7.35 % (8501)------------------------------
% 54.70/7.35 % (8496)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 54.70/7.35 % (8496)Termination reason: Unknown
% 54.70/7.35 % (8496)Termination phase: Saturation
% 54.70/7.35
% 54.70/7.35 % (8496)Memory used [KB]: 14456
% 54.70/7.35 % (8496)Time elapsed: 0.712 s
% 54.70/7.35 % (8496)Instructions burned: 360 (million)
% 54.70/7.35 % (8496)------------------------------
% 54.70/7.35 % (8496)------------------------------
% 55.32/7.38 % (8458)Instruction limit reached!
% 55.32/7.38 % (8458)------------------------------
% 55.32/7.38 % (8458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 55.32/7.38 % (8458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 55.32/7.38 % (8458)Termination reason: Unknown
% 55.32/7.38 % (8458)Termination phase: Saturation
% 55.32/7.38
% 55.32/7.38 % (8458)Memory used [KB]: 17910
% 55.32/7.38 % (8458)Time elapsed: 2.610 s
% 55.32/7.38 % (8458)Instructions burned: 1537 (million)
% 55.32/7.38 % (8458)------------------------------
% 55.32/7.38 % (8458)------------------------------
% 55.39/7.40 % (8509)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=6912:si=on:rawr=on:rtra=on_0 on theBenchmark for (2930ds/6912Mi)
% 55.58/7.41 % (8412)Instruction limit reached!
% 55.58/7.41 % (8412)------------------------------
% 55.58/7.41 % (8412)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 55.68/7.43 % (8412)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 55.68/7.43 % (8412)Termination reason: Unknown
% 55.68/7.43 % (8412)Termination phase: Saturation
% 55.68/7.43
% 55.68/7.43 % (8412)Memory used [KB]: 38250
% 55.68/7.43 % (8412)Time elapsed: 4.948 s
% 55.68/7.43 % (8412)Instructions burned: 3041 (million)
% 55.68/7.43 % (8412)------------------------------
% 55.68/7.43 % (8412)------------------------------
% 55.68/7.48 % (8510)dis+10_3:2_br=off:sas=z3:sd=3:sos=all:ss=axioms:st=3.0:urr=on:i=525:si=on:rawr=on:rtra=on_0 on theBenchmark for (2929ds/525Mi)
% 55.68/7.49 % (8507)Instruction limit reached!
% 55.68/7.49 % (8507)------------------------------
% 55.68/7.49 % (8507)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 55.68/7.49 % (8507)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 55.68/7.49 % (8507)Termination reason: Unknown
% 55.68/7.49 % (8507)Termination phase: Saturation
% 55.68/7.49
% 55.68/7.49 % (8507)Memory used [KB]: 6780
% 55.68/7.49 % (8507)Time elapsed: 0.057 s
% 55.68/7.49 % (8507)Instructions burned: 122 (million)
% 55.68/7.49 % (8507)------------------------------
% 55.68/7.49 % (8507)------------------------------
% 55.68/7.49 % (8511)lrs+1002_1:1_amm=off:cond=on:sd=3:sos=on:ss=axioms:st=1.5:i=600:si=on:rawr=on:rtra=on_0 on theBenchmark for (2929ds/600Mi)
% 55.68/7.51 % (8512)dis+1011_1:1_av=off:ep=RSTC:rp=on:sos=on:i=723:si=on:rawr=on:rtra=on_0 on theBenchmark for (2929ds/723Mi)
% 56.27/7.57 % (8513)lrs+1002_1:1_bd=off:sd=2:sos=on:ss=axioms:st=2.0:i=4344:si=on:rawr=on:rtra=on_0 on theBenchmark for (2929ds/4344Mi)
% 56.70/7.63 % (8514)lrs+10_1:1_av=off:gs=on:sd=2:sos=all:ss=axioms:st=2.0:i=873:si=on:rawr=on:rtra=on_0 on theBenchmark for (2928ds/873Mi)
% 57.19/7.68 % (8398)Refutation not found, non-redundant clauses discarded% (8398)------------------------------
% 57.19/7.68 % (8398)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 57.19/7.68 % (8398)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 57.19/7.68 % (8398)Termination reason: Refutation not found, non-redundant clauses discarded
% 57.19/7.68
% 57.19/7.68 % (8398)Memory used [KB]: 36587
% 57.19/7.68 % (8398)Time elapsed: 5.714 s
% 57.19/7.68 % (8398)Instructions burned: 3293 (million)
% 57.19/7.68 % (8398)------------------------------
% 57.19/7.68 % (8398)------------------------------
% 58.25/7.73 % (8505)Instruction limit reached!
% 58.25/7.73 % (8505)------------------------------
% 58.25/7.73 % (8505)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 58.25/7.73 % (8505)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 58.25/7.73 % (8505)Termination reason: Unknown
% 58.25/7.73 % (8505)Termination phase: Saturation
% 58.25/7.73
% 58.25/7.73 % (8505)Memory used [KB]: 12920
% 58.25/7.73 % (8505)Time elapsed: 0.188 s
% 58.25/7.73 % (8505)Instructions burned: 363 (million)
% 58.25/7.73 % (8505)------------------------------
% 58.25/7.73 % (8505)------------------------------
% 58.37/7.79 % (8508)Instruction limit reached!
% 58.37/7.79 % (8508)------------------------------
% 58.37/7.79 % (8508)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 58.37/7.79 % (8423)Instruction limit reached!
% 58.37/7.79 % (8423)------------------------------
% 58.37/7.79 % (8423)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 58.37/7.81 % (8508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 58.37/7.81 % (8508)Termination reason: Unknown
% 58.37/7.81 % (8508)Termination phase: Saturation
% 58.37/7.81
% 58.37/7.81 % (8508)Memory used [KB]: 17654
% 58.37/7.81 % (8508)Time elapsed: 0.526 s
% 58.37/7.81 % (8508)Instructions burned: 256 (million)
% 58.37/7.81 % (8508)------------------------------
% 58.37/7.81 % (8508)------------------------------
% 58.37/7.81 % (8423)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 58.37/7.81 % (8423)Termination reason: Unknown
% 58.37/7.81 % (8423)Termination phase: Saturation
% 58.37/7.81
% 58.37/7.81 % (8423)Memory used [KB]: 62685
% 58.37/7.81 % (8423)Time elapsed: 4.963 s
% 58.37/7.81 % (8423)Instructions burned: 3381 (million)
% 58.37/7.81 % (8423)------------------------------
% 58.37/7.81 % (8423)------------------------------
% 58.37/7.82 % (8491)Instruction limit reached!
% 58.37/7.82 % (8491)------------------------------
% 58.37/7.82 % (8491)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 59.08/7.82 % (8491)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 59.08/7.82 % (8491)Termination reason: Unknown
% 59.08/7.82 % (8491)Termination phase: Saturation
% 59.08/7.82
% 59.08/7.82 % (8491)Memory used [KB]: 26993
% 59.08/7.82 % (8491)Time elapsed: 1.473 s
% 59.08/7.82 % (8491)Instructions burned: 1044 (million)
% 59.08/7.82 % (8491)------------------------------
% 59.08/7.82 % (8491)------------------------------
% 59.08/7.84 % (8515)lrs+1010_1:128_nm=2:i=973:si=on:rawr=on:rtra=on_0 on theBenchmark for (2926ds/973Mi)
% 59.08/7.84 % (8516)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=98:si=on:rawr=on:rtra=on_0 on theBenchmark for (2926ds/98Mi)
% 59.08/7.87 % (8497)Instruction limit reached!
% 59.08/7.87 % (8497)------------------------------
% 59.08/7.87 % (8497)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 59.08/7.87 % (8497)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 59.08/7.87 % (8497)Termination reason: Unknown
% 59.08/7.87 % (8497)Termination phase: Saturation
% 59.08/7.87
% 59.08/7.87 % (8497)Memory used [KB]: 25969
% 59.08/7.87 % (8497)Time elapsed: 1.221 s
% 59.08/7.87 % (8497)Instructions burned: 660 (million)
% 59.08/7.87 % (8497)------------------------------
% 59.08/7.87 % (8497)------------------------------
% 59.51/7.91 % (8517)ins+10_1:1_igbrr=1.0:igpr=on:igrp=4000:igrpq=1.5:igs=1010:i=911:si=on:rawr=on:rtra=on_0 on theBenchmark for (2925ds/911Mi)
% 59.51/7.94 % (8519)lrs+10_1:1_sd=1:sos=on:spb=goal_then_units:ss=included:to=lpo:i=3417:si=on:rawr=on:rtra=on_0 on theBenchmark for (2925ds/3417Mi)
% 59.51/7.94 % (8518)lrs+10_1:1024_aac=none:acc=model:anc=all_dependent:avsq=on:avsqc=1:avsqr=9,4:drc=off:fd=preordered:sac=on:urr=ec_only:i=3342:si=on:rawr=on:rtra=on_0 on theBenchmark for (2925ds/3342Mi)
% 59.51/7.95 % (8503)Instruction limit reached!
% 59.51/7.95 % (8503)------------------------------
% 59.51/7.95 % (8503)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 59.51/7.95 % (8503)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 59.51/7.95 % (8503)Termination reason: Unknown
% 59.51/7.95 % (8503)Termination phase: Saturation
% 59.51/7.95
% 59.51/7.95 % (8503)Memory used [KB]: 13944
% 59.51/7.95 % (8503)Time elapsed: 1.006 s
% 59.51/7.95 % (8503)Instructions burned: 556 (million)
% 59.51/7.95 % (8503)------------------------------
% 59.51/7.95 % (8503)------------------------------
% 59.51/7.96 % (8516)Instruction limit reached!
% 59.51/7.96 % (8516)------------------------------
% 59.51/7.96 % (8516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 60.01/7.96 % (8516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 60.01/7.96 % (8516)Termination reason: Unknown
% 60.01/7.96 % (8516)Termination phase: Property scanning
% 60.01/7.96
% 60.01/7.96 % (8516)Memory used [KB]: 6268
% 60.01/7.96 % (8516)Time elapsed: 0.045 s
% 60.01/7.96 % (8516)Instructions burned: 101 (million)
% 60.01/7.96 % (8516)------------------------------
% 60.01/7.96 % (8516)------------------------------
% 60.17/7.98 % (8504)Instruction limit reached!
% 60.17/7.98 % (8504)------------------------------
% 60.17/7.98 % (8504)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 60.17/7.98 % (8504)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 60.17/7.98 % (8504)Termination reason: Unknown
% 60.17/7.98 % (8504)Termination phase: Saturation
% 60.17/7.98
% 60.17/7.98 % (8504)Memory used [KB]: 15607
% 60.17/7.98 % (8504)Time elapsed: 0.959 s
% 60.17/7.98 % (8504)Instructions burned: 484 (million)
% 60.17/7.98 % (8504)------------------------------
% 60.17/7.98 % (8504)------------------------------
% 60.17/8.01 % (8520)lrs+1011_1:64_fsd=on:nwc=2.0:ss=included:st=3.0:i=446:si=on:rawr=on:rtra=on_0 on theBenchmark for (2924ds/446Mi)
% 60.60/8.07 % (8521)dis+1011_2388710:563463_bce=on:ep=RS:erd=off:fs=off:fsr=off:sp=frequency:i=301:si=on:rawr=on:rtra=on_0 on theBenchmark for (2924ds/301Mi)
% 60.60/8.07 % (8522)lrs+10_1:1_sd=4:sos=on:spb=goal:ss=axioms:st=3.7:to=lpo:urr=on:i=480:si=on:rawr=on:rtra=on_0 on theBenchmark for (2923ds/480Mi)
% 60.60/8.11 % (8453)Instruction limit reached!
% 60.60/8.11 % (8453)------------------------------
% 60.60/8.11 % (8453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 60.60/8.11 % (8453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 60.60/8.11 % (8453)Termination reason: Unknown
% 60.60/8.11 % (8453)Termination phase: Saturation
% 60.60/8.11
% 60.60/8.11 % (8453)Memory used [KB]: 41577
% 60.60/8.11 % (8453)Time elapsed: 3.708 s
% 60.60/8.11 % (8453)Instructions burned: 2016 (million)
% 60.60/8.11 % (8453)------------------------------
% 60.60/8.11 % (8453)------------------------------
% 61.10/8.12 % (8523)lrs+1002_1:7_sos=on:i=1851:si=on:rawr=on:rtra=on_0 on theBenchmark for (2923ds/1851Mi)
% 61.47/8.24 % (8510)Instruction limit reached!
% 61.47/8.24 % (8510)------------------------------
% 61.47/8.24 % (8510)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 61.47/8.24 % (8510)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 61.47/8.24 % (8510)Termination reason: Unknown
% 61.47/8.24 % (8510)Termination phase: Saturation
% 61.47/8.24
% 61.47/8.24 % (8510)Memory used [KB]: 11129
% 61.47/8.24 % (8510)Time elapsed: 0.853 s
% 61.47/8.24 % (8510)Instructions burned: 525 (million)
% 61.47/8.24 % (8510)------------------------------
% 61.47/8.24 % (8510)------------------------------
% 61.47/8.25 % (8524)lrs+10_5:1_bce=on:bd=off:bsr=unit_only:s2a=on:sos=all:sp=reverse_arity:ss=axioms:st=2.0:to=lpo:urr=on:i=598:si=on:rawr=on:rtra=on_0 on theBenchmark for (2922ds/598Mi)
% 62.72/8.30 % (8450)Instruction limit reached!
% 62.72/8.30 % (8450)------------------------------
% 62.72/8.30 % (8450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 62.72/8.30 % (8450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 62.72/8.30 % (8450)Termination reason: Unknown
% 62.72/8.30 % (8450)Termination phase: Saturation
% 62.72/8.30
% 62.72/8.30 % (8450)Memory used [KB]: 29807
% 62.72/8.30 % (8450)Time elapsed: 4.080 s
% 62.72/8.30 % (8450)Instructions burned: 2850 (million)
% 62.72/8.30 % (8450)------------------------------
% 62.72/8.30 % (8450)------------------------------
% 63.04/8.33 % (8416)Instruction limit reached!
% 63.04/8.33 % (8416)------------------------------
% 63.04/8.33 % (8416)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 63.04/8.33 % (8416)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 63.04/8.33 % (8416)Termination reason: Unknown
% 63.04/8.33 % (8416)Termination phase: Saturation
% 63.04/8.33
% 63.04/8.33 % (8416)Memory used [KB]: 29935
% 63.04/8.33 % (8416)Time elapsed: 5.785 s
% 63.04/8.33 % (8416)Instructions burned: 3643 (million)
% 63.04/8.33 % (8416)------------------------------
% 63.04/8.33 % (8416)------------------------------
% 63.26/8.40 % (8525)ott+10_1:1_br=off:fd=off:fde=unused:s2a=on:sd=2:sos=all:ss=axioms:st=2.0:to=lpo:urr=on:i=2282:si=on:rawr=on:rtra=on_0 on theBenchmark for (2920ds/2282Mi)
% 63.26/8.41 % (8526)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=2179:si=on:rawr=on:rtra=on_0 on theBenchmark for (2920ds/2179Mi)
% 63.83/8.46 % (8499)Instruction limit reached!
% 63.83/8.46 % (8499)------------------------------
% 63.83/8.46 % (8499)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 63.83/8.46 % (8499)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 63.83/8.46 % (8499)Termination reason: Unknown
% 63.83/8.46 % (8499)Termination phase: Saturation
% 63.83/8.46
% 63.83/8.46 % (8499)Memory used [KB]: 25841
% 63.83/8.46 % (8499)Time elapsed: 1.752 s
% 63.83/8.46 % (8499)Instructions burned: 1176 (million)
% 63.83/8.46 % (8499)------------------------------
% 63.83/8.46 % (8499)------------------------------
% 64.21/8.48 % (8527)dis+1010_1:7_awrs=converge:bd=preordered:fsr=off:ins=1:s2a=on:sos=on:i=595:si=on:rawr=on:rtra=on_0 on theBenchmark for (2920ds/595Mi)
% 64.21/8.50 % (8521)Instruction limit reached!
% 64.21/8.50 % (8521)------------------------------
% 64.21/8.50 % (8521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 64.21/8.50 % (8521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 64.21/8.50 % (8521)Termination reason: Unknown
% 64.21/8.50 % (8521)Termination phase: Blocked clause elimination
% 64.21/8.50
% 64.21/8.50 % (8521)Memory used [KB]: 10490
% 64.21/8.50 % (8521)Time elapsed: 0.127 s
% 64.21/8.50 % (8521)Instructions burned: 301 (million)
% 64.21/8.50 % (8521)------------------------------
% 64.21/8.50 % (8521)------------------------------
% 64.21/8.51 % (8511)Instruction limit reached!
% 64.21/8.51 % (8511)------------------------------
% 64.21/8.51 % (8511)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 64.21/8.51 % (8511)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 64.21/8.51 % (8511)Termination reason: Unknown
% 64.21/8.51 % (8511)Termination phase: Saturation
% 64.21/8.51
% 64.21/8.51 % (8511)Memory used [KB]: 14200
% 64.21/8.51 % (8511)Time elapsed: 1.123 s
% 64.21/8.51 % (8511)Instructions burned: 600 (million)
% 64.21/8.51 % (8511)------------------------------
% 64.21/8.51 % (8511)------------------------------
% 64.86/8.57 % (8498)Instruction limit reached!
% 64.86/8.57 % (8498)------------------------------
% 64.86/8.57 % (8498)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 64.86/8.57 % (8498)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 64.86/8.57 % (8498)Termination reason: Unknown
% 64.86/8.57 % (8498)Termination phase: Saturation
% 64.86/8.57
% 64.86/8.57 % (8498)Memory used [KB]: 14456
% 64.86/8.57 % (8498)Time elapsed: 1.913 s
% 64.86/8.57 % (8498)Instructions burned: 982 (million)
% 64.86/8.57 % (8498)------------------------------
% 64.86/8.57 % (8498)------------------------------
% 64.86/8.60 % (8528)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=776:si=on:rawr=on:rtra=on_0 on theBenchmark for (2918ds/776Mi)
% 65.24/8.62 % (8529)lrs+10_1:1_bce=on:ep=RST:gsp=on:sd=1:sos=on:ss=axioms:urr=on:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2918ds/138Mi)
% 65.36/8.65 % (8512)Instruction limit reached!
% 65.36/8.65 % (8512)------------------------------
% 65.36/8.65 % (8512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 65.36/8.65 % (8512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 65.36/8.65 % (8512)Termination reason: Unknown
% 65.36/8.65 % (8512)Termination phase: Saturation
% 65.36/8.65
% 65.36/8.65 % (8512)Memory used [KB]: 10618
% 65.36/8.65 % (8512)Time elapsed: 1.224 s
% 65.36/8.65 % (8512)Instructions burned: 725 (million)
% 65.36/8.65 % (8512)------------------------------
% 65.36/8.65 % (8512)------------------------------
% 65.36/8.66 % (8530)lrs+1002_1:1_aac=none:avsq=on:avsqc=1:bd=off:newcnf=on:nm=4:nwc=5.0:s2a=on:sac=on:i=1679:si=on:rawr=on:rtra=on_0 on theBenchmark for (2918ds/1679Mi)
% 65.36/8.70 % (8522)Instruction limit reached!
% 65.36/8.70 % (8522)------------------------------
% 65.36/8.70 % (8522)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 65.36/8.70 % (8522)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 65.36/8.70 % (8522)Termination reason: Unknown
% 65.36/8.70 % (8522)Termination phase: Saturation
% 65.36/8.70
% 65.36/8.70 % (8522)Memory used [KB]: 14328
% 65.36/8.70 % (8522)Time elapsed: 0.683 s
% 65.36/8.70 % (8522)Instructions burned: 480 (million)
% 65.36/8.70 % (8522)------------------------------
% 65.36/8.70 % (8522)------------------------------
% 65.36/8.71 % (8531)lrs+1010_10:13_abs=on:amm=off:anc=none:avsq=on:avsqc=1:avsqr=12,23:bsr=on:cond=on:drc=off:fd=preordered:fde=none:flr=on:fsr=off:gs=on:gsaa=full_model:gsem=off:ins=3:lcm=reverse:nwc=5.0:sas=z3:sims=off:skr=on:sos=on:sp=frequency:spb=units:to=lpo:updr=off:urr=on:i=774:si=on:rawr=on:rtra=on_0 on theBenchmark for (2917ds/774Mi)
% 66.16/8.78 % (8532)dis+10_1:1_av=off:ep=R:erd=off:gsp=on:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:spb=goal_then_units:to=lpo:i=936:si=on:rawr=on:rtra=on_0 on theBenchmark for (2917ds/936Mi)
% 66.16/8.79 % (8520)Instruction limit reached!
% 66.16/8.79 % (8520)------------------------------
% 66.16/8.79 % (8520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 66.16/8.79 % (8520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 66.16/8.79 % (8520)Termination reason: Unknown
% 66.16/8.79 % (8520)Termination phase: Saturation
% 66.16/8.79
% 66.16/8.79 % (8520)Memory used [KB]: 13176
% 66.16/8.79 % (8520)Time elapsed: 0.221 s
% 66.16/8.79 % (8520)Instructions burned: 448 (million)
% 66.16/8.79 % (8520)------------------------------
% 66.16/8.79 % (8520)------------------------------
% 66.16/8.82 % (8533)lrs+1002_1:1_atotf=0.3:avsq=on:avsqr=55,124:cond=on:nm=3:plsq=on:plsqc=1:plsql=on:plsqr=32,1:i=167:si=on:rawr=on:rtra=on_0 on theBenchmark for (2916ds/167Mi)
% 66.16/8.82 % (8488)Instruction limit reached!
% 66.16/8.82 % (8488)------------------------------
% 66.16/8.82 % (8488)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 66.16/8.82 % (8488)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 66.16/8.82 % (8488)Termination reason: Unknown
% 66.16/8.82 % (8488)Termination phase: Saturation
% 66.16/8.82
% 66.16/8.82 % (8488)Memory used [KB]: 24818
% 66.16/8.82 % (8488)Time elapsed: 2.733 s
% 66.16/8.82 % (8488)Instructions burned: 1453 (million)
% 66.16/8.82 % (8488)------------------------------
% 66.16/8.82 % (8488)------------------------------
% 66.16/8.82 % (8481)Instruction limit reached!
% 66.16/8.82 % (8481)------------------------------
% 66.16/8.82 % (8481)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 66.16/8.82 % (8481)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 66.16/8.82 % (8481)Termination reason: Unknown
% 66.16/8.82 % (8481)Termination phase: Saturation
% 66.16/8.82
% 66.16/8.82 % (8481)Memory used [KB]: 25969
% 66.16/8.82 % (8481)Time elapsed: 2.914 s
% 66.16/8.82 % (8481)Instructions burned: 1879 (million)
% 66.16/8.82 % (8481)------------------------------
% 66.16/8.82 % (8481)------------------------------
% 66.16/8.84 % (8529)Instruction limit reached!
% 66.16/8.84 % (8529)------------------------------
% 66.16/8.84 % (8529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 66.16/8.84 % (8529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 66.16/8.84 % (8529)Termination reason: Unknown
% 66.16/8.84 % (8529)Termination phase: Blocked clause elimination
% 66.16/8.84
% 66.16/8.84 % (8529)Memory used [KB]: 6780
% 66.16/8.84 % (8529)Time elapsed: 0.061 s
% 66.16/8.84 % (8529)Instructions burned: 138 (million)
% 66.16/8.84 % (8529)------------------------------
% 66.16/8.84 % (8529)------------------------------
% 67.51/8.92 % (8534)dis+10_1:1024_awrs=converge:s2a=on:s2at=3.0:ss=included:st=1.5:urr=on:i=557:si=on:rawr=on:rtra=on_0 on theBenchmark for (2915ds/557Mi)
% 67.87/8.94 % (8535)dis+1002_1:1_av=off:dr=on:ep=RS:mep=off:newcnf=on:nm=2:nwc=10.0:s2a=on:slsq=on:slsqc=0:slsqr=1,8:i=258:si=on:rawr=on:rtra=on_0 on theBenchmark for (2915ds/258Mi)
% 68.04/8.98 % (8537)dis+10_2:1_abs=on:fde=none:lcm=reverse:nwc=2.0:plsq=on:plsqc=1:plsql=on:plsqr=4095,256:s2a=on:sac=on:sp=reverse_arity:i=2311:si=on:rawr=on:rtra=on_0 on theBenchmark for (2915ds/2311Mi)
% 68.04/8.98 % (8536)dis+1011_1:2_abs=on:avsq=on:avsqc=2:bce=on:bsr=unit_only:cond=fast:ep=RS:erd=off:newcnf=on:s2a=on:urr=ec_only:i=941:si=on:rawr=on:rtra=on_0 on theBenchmark for (2915ds/941Mi)
% 68.53/9.03 % (8533)Instruction limit reached!
% 68.53/9.03 % (8533)------------------------------
% 68.53/9.03 % (8533)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 68.53/9.03 % (8533)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 68.53/9.03 % (8533)Termination reason: Unknown
% 68.53/9.03 % (8533)Termination phase: Saturation
% 68.53/9.03
% 68.53/9.03 % (8533)Memory used [KB]: 12537
% 68.53/9.03 % (8533)Time elapsed: 0.150 s
% 68.53/9.03 % (8533)Instructions burned: 167 (million)
% 68.53/9.03 % (8533)------------------------------
% 68.53/9.03 % (8533)------------------------------
% 68.94/9.09 % (8517)Instruction limit reached!
% 68.94/9.09 % (8517)------------------------------
% 68.94/9.09 % (8517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 68.94/9.11 % (8517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 68.94/9.11 % (8517)Termination reason: Unknown
% 68.94/9.11 % (8517)Termination phase: Saturation
% 68.94/9.11
% 68.94/9.11 % (8517)Memory used [KB]: 33389
% 68.94/9.11 % (8517)Time elapsed: 0.427 s
% 68.94/9.11 % (8517)Instructions burned: 911 (million)
% 68.94/9.11 % (8517)------------------------------
% 68.94/9.11 % (8517)------------------------------
% 68.94/9.15 % (8538)dis+1002_1:1_ep=RS:erd=off:sac=on:sos=on:i=190:si=on:rawr=on:rtra=on_0 on theBenchmark for (2913ds/190Mi)
% 69.85/9.19 % (8514)Instruction limit reached!
% 69.85/9.19 % (8514)------------------------------
% 69.85/9.19 % (8514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 69.85/9.19 % (8514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 69.85/9.19 % (8514)Termination reason: Unknown
% 69.85/9.19 % (8514)Termination phase: Saturation
% 69.85/9.19
% 69.85/9.19 % (8514)Memory used [KB]: 18677
% 69.85/9.19 % (8514)Time elapsed: 1.652 s
% 69.85/9.19 % (8514)Instructions burned: 874 (million)
% 69.85/9.19 % (8514)------------------------------
% 69.85/9.19 % (8514)------------------------------
% 69.85/9.22 % (8539)lrs+1010_1:1_sd=1:sos=on:sp=frequency:ss=included:to=lpo:i=319:si=on:rawr=on:rtra=on_0 on theBenchmark for (2912ds/319Mi)
% 70.21/9.24 % (8515)Instruction limit reached!
% 70.21/9.24 % (8515)------------------------------
% 70.21/9.24 % (8515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 70.21/9.24 % (8515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 70.21/9.24 % (8515)Termination reason: Unknown
% 70.21/9.24 % (8515)Termination phase: Saturation
% 70.21/9.24
% 70.21/9.24 % (8515)Memory used [KB]: 20212
% 70.21/9.24 % (8515)Time elapsed: 1.508 s
% 70.21/9.24 % (8515)Instructions burned: 974 (million)
% 70.21/9.24 % (8515)------------------------------
% 70.21/9.24 % (8515)------------------------------
% 70.32/9.25 % (8535)Instruction limit reached!
% 70.32/9.25 % (8535)------------------------------
% 70.32/9.25 % (8535)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 70.32/9.25 % (8535)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 70.32/9.25 % (8535)Termination reason: Unknown
% 70.32/9.25 % (8535)Termination phase: Saturation
% 70.32/9.25
% 70.32/9.25 % (8535)Memory used [KB]: 7547
% 70.32/9.25 % (8535)Time elapsed: 0.354 s
% 70.32/9.25 % (8535)Instructions burned: 259 (million)
% 70.32/9.25 % (8535)------------------------------
% 70.32/9.25 % (8535)------------------------------
% 70.32/9.28 % (8524)Instruction limit reached!
% 70.32/9.28 % (8524)------------------------------
% 70.32/9.28 % (8524)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 70.32/9.28 % (8524)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 70.32/9.28 % (8524)Termination reason: Unknown
% 70.32/9.28 % (8524)Termination phase: Saturation
% 70.32/9.28
% 70.32/9.28 % (8524)Memory used [KB]: 16630
% 70.32/9.28 % (8524)Time elapsed: 1.135 s
% 70.32/9.28 % (8524)Instructions burned: 599 (million)
% 70.32/9.28 % (8524)------------------------------
% 70.32/9.28 % (8524)------------------------------
% 70.75/9.33 % (8540)lrs+10_1:1_amm=off:br=off:nwc=5.0:sfv=off:sos=all:ss=axioms:to=lpo:urr=ec_only:i=305:si=on:rawr=on:rtra=on_0 on theBenchmark for (2911ds/305Mi)
% 70.75/9.35 % (8541)lrs+1011_45163:73544_aac=none:abs=on:add=large:afr=on:alpa=false:amm=off:anc=none:avsq=on:avsqr=57,253:bs=on:bsr=unit_only:cond=fast:ep=R:fde=unused:gsp=on:mep=off:nwc=4.0:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=59173,778640:sp=occurrence:updr=off:i=125:si=on:rawr=on:rtra=on_0 on theBenchmark for (2911ds/125Mi)
% 70.75/9.36 % (8538)Instruction limit reached!
% 70.75/9.36 % (8538)------------------------------
% 70.75/9.36 % (8538)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 70.75/9.36 % (8538)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 70.75/9.36 % (8538)Termination reason: Unknown
% 70.75/9.36 % (8538)Termination phase: Saturation
% 70.75/9.36
% 70.75/9.36 % (8538)Memory used [KB]: 11897
% 70.75/9.36 % (8538)Time elapsed: 0.116 s
% 70.75/9.36 % (8538)Instructions burned: 191 (million)
% 70.75/9.36 % (8538)------------------------------
% 70.75/9.36 % (8538)------------------------------
% 70.75/9.36 % (8542)lrs+1011_1:1_ep=R:gsp=on:nm=0:sos=on:spb=units:ss=included:i=229:si=on:rawr=on:rtra=on_0 on theBenchmark for (2911ds/229Mi)
% 71.40/9.42 % (8543)lrs+10_1:1_bs=unit_only:drc=off:fd=preordered:foolp=on:nwc=5.0:plsq=on:plsql=on:s2a=on:s2at=3.0:sp=frequency:to=lpo:uwa=interpreted_only:i=835:si=on:rawr=on:rtra=on_0 on theBenchmark for (2910ds/835Mi)
% 72.08/9.47 % (8544)lrs+1002_1:1_afr=on:fde=none:newcnf=on:nwc=3.0:sas=z3:sos=all:spb=goal:ss=axioms:st=2.0:to=lpo:i=1618:si=on:rawr=on:rtra=on_0 on theBenchmark for (2910ds/1618Mi)
% 72.72/9.55 % (8541)Instruction limit reached!
% 72.72/9.55 % (8541)------------------------------
% 72.72/9.55 % (8541)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 72.72/9.55 % (8527)Instruction limit reached!
% 72.72/9.55 % (8527)------------------------------
% 72.72/9.55 % (8527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 72.72/9.55 % (8541)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 72.72/9.55 % (8527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 72.72/9.55 % (8541)Termination reason: Unknown
% 72.72/9.55 % (8527)Termination reason: Unknown
% 72.72/9.55 % (8541)Termination phase: Property scanning
% 72.72/9.55 % (8527)Termination phase: Saturation
% 72.72/9.55
% 72.72/9.55
% 72.72/9.55 % (8527)Memory used [KB]: 17014
% 72.72/9.55 % (8541)Memory used [KB]: 6268
% 72.72/9.55 % (8527)Time elapsed: 1.160 s
% 72.72/9.55 % (8541)Time elapsed: 0.059 s
% 72.72/9.55 % (8527)Instructions burned: 596 (million)
% 72.72/9.55 % (8541)Instructions burned: 127 (million)
% 72.72/9.55 % (8527)------------------------------
% 72.72/9.55 % (8527)------------------------------
% 72.72/9.55 % (8541)------------------------------
% 72.72/9.55 % (8541)------------------------------
% 72.72/9.60 % (8542)Instruction limit reached!
% 72.72/9.60 % (8542)------------------------------
% 72.72/9.60 % (8542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 72.72/9.60 % (8542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 72.72/9.60 % (8542)Termination reason: Unknown
% 72.72/9.60 % (8542)Termination phase: General splitting
% 72.72/9.60
% 72.72/9.60 % (8542)Memory used [KB]: 8443
% 72.72/9.60 % (8542)Time elapsed: 0.166 s
% 72.72/9.60 % (8542)Instructions burned: 229 (million)
% 72.72/9.60 % (8542)------------------------------
% 72.72/9.60 % (8542)------------------------------
% 73.66/9.67 % (8539)Instruction limit reached!
% 73.66/9.67 % (8539)------------------------------
% 73.66/9.67 % (8539)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 73.66/9.68 % (8545)lrs+10_1:1_amm=off:br=off:bs=on:etr=on:fsd=on:newcnf=on:plsq=on:plsqc=2:plsql=on:s2a=on:s2at=3.0:sac=on:sd=2:sfv=off:sos=all:sp=frequency:ss=axioms:urr=on:i=592:si=on:rawr=on:rtra=on_0 on theBenchmark for (2908ds/592Mi)
% 73.66/9.68 % (8539)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 73.66/9.68 % (8539)Termination reason: Unknown
% 73.66/9.68 % (8539)Termination phase: Saturation
% 73.66/9.68
% 73.66/9.68 % (8539)Memory used [KB]: 13176
% 73.66/9.68 % (8539)Time elapsed: 0.504 s
% 73.66/9.68 % (8539)Instructions burned: 319 (million)
% 73.66/9.68 % (8539)------------------------------
% 73.66/9.68 % (8539)------------------------------
% 73.66/9.69 % (8546)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=511:si=on:rawr=on:rtra=on_0 on theBenchmark for (2908ds/511Mi)
% 73.66/9.71 % (8547)dis+11_1:1_av=off:bce=on:bs=on:ep=RST:gsp=on:nm=0:ss=included:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2907ds/131Mi)
% 74.61/9.79 % (8548)lrs+10_1:64_plsq=on:plsqr=32,1:sac=on:sos=all:ss=axioms:st=5.0:i=154:si=on:rawr=on:rtra=on_0 on theBenchmark for (2906ds/154Mi)
% 74.61/9.80 % (8534)Instruction limit reached!
% 74.61/9.80 % (8534)------------------------------
% 74.61/9.80 % (8534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 74.61/9.80 % (8534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 74.61/9.80 % (8534)Termination reason: Unknown
% 74.61/9.80 % (8534)Termination phase: Saturation
% 74.61/9.80
% 74.61/9.80 % (8534)Memory used [KB]: 16758
% 74.61/9.80 % (8534)Time elapsed: 0.968 s
% 74.61/9.80 % (8534)Instructions burned: 557 (million)
% 74.61/9.80 % (8534)------------------------------
% 74.61/9.80 % (8534)------------------------------
% 74.88/9.83 % (8547)Instruction limit reached!
% 74.88/9.83 % (8547)------------------------------
% 74.88/9.83 % (8547)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 74.90/9.84 % (8547)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 74.90/9.84 % (8502)Instruction limit reached!
% 74.90/9.84 % (8502)------------------------------
% 74.90/9.84 % (8502)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 74.90/9.84 % (8502)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 74.90/9.84 % (8502)Termination reason: Unknown
% 74.90/9.84 % (8502)Termination phase: Finite model building preprocessing
% 74.90/9.84
% 74.90/9.84 % (8502)Memory used [KB]: 51299
% 74.90/9.84 % (8502)Time elapsed: 0.817 s
% 74.90/9.84 % (8502)Instructions burned: 1987 (million)
% 74.90/9.84 % (8502)------------------------------
% 74.90/9.84 % (8502)------------------------------
% 74.90/9.84 % (8547)Termination reason: Unknown
% 74.90/9.84 % (8547)Termination phase: Property scanning
% 74.90/9.84
% 74.90/9.84 % (8547)Memory used [KB]: 6524
% 74.90/9.84 % (8547)Time elapsed: 0.050 s
% 74.90/9.84 % (8547)Instructions burned: 134 (million)
% 74.90/9.84 % (8547)------------------------------
% 74.90/9.84 % (8547)------------------------------
% 74.90/9.86 % (8531)Instruction limit reached!
% 74.90/9.86 % (8531)------------------------------
% 74.90/9.86 % (8531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 74.90/9.86 % (8531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 74.90/9.86 % (8531)Termination reason: Unknown
% 74.90/9.86 % (8531)Termination phase: Saturation
% 74.90/9.86
% 74.90/9.86 % (8531)Memory used [KB]: 19189
% 74.90/9.86 % (8531)Time elapsed: 1.223 s
% 74.90/9.86 % (8531)Instructions burned: 774 (million)
% 74.90/9.86 % (8531)------------------------------
% 74.90/9.86 % (8531)------------------------------
% 74.90/9.86 % (8540)Instruction limit reached!
% 74.90/9.86 % (8540)------------------------------
% 74.90/9.86 % (8540)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 74.90/9.86 % (8540)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 74.90/9.86 % (8540)Termination reason: Unknown
% 74.90/9.86 % (8540)Termination phase: Saturation
% 74.90/9.86
% 74.90/9.86 % (8540)Memory used [KB]: 13304
% 74.90/9.86 % (8540)Time elapsed: 0.644 s
% 74.90/9.86 % (8540)Instructions burned: 306 (million)
% 74.90/9.86 % (8540)------------------------------
% 74.90/9.86 % (8540)------------------------------
% 75.73/9.93 % (8549)lrs+1011_1:1_bd=preordered:drc=off:fd=preordered:fsr=off:plsq=on:i=1003:si=on:rawr=on:rtra=on_0 on theBenchmark for (2905ds/1003Mi)
% 75.73/9.93 % (8528)Instruction limit reached!
% 75.73/9.93 % (8528)------------------------------
% 75.73/9.93 % (8528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 75.73/9.93 % (8528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 75.73/9.93 % (8528)Termination reason: Unknown
% 75.73/9.93 % (8528)Termination phase: Saturation
% 75.73/9.93
% 75.73/9.93 % (8528)Memory used [KB]: 16630
% 75.73/9.93 % (8528)Time elapsed: 1.428 s
% 75.73/9.93 % (8528)Instructions burned: 776 (million)
% 75.73/9.93 % (8528)------------------------------
% 75.73/9.93 % (8528)------------------------------
% 75.73/9.96 % (8550)dis+11_1:1_av=off:bd=off:br=off:erd=off:ins=1:nm=0:nwc=3.0:s2a=on:slsq=on:slsqc=2:slsqr=1,2:urr=on:i=1141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2905ds/1141Mi)
% 76.21/10.00 % (8551)lrs+11_26459:191296_av=off:awrs=converge:awrsf=30:bd=preordered:bs=unit_only:drc=off:etr=on:flr=on:lwlo=on:nwc=5.0:plsq=on:plsqc=1:plsql=on:plsqr=1,32:skr=on:slsq=on:slsqr=18,107:sp=const_min:tgt=ground:to=lpo:urr=ec_only:i=8110:si=on:rawr=on:rtra=on_0 on theBenchmark for (2904ds/8110Mi)
% 76.21/10.00 % (8553)dis+1011_1:1024_av=off:erd=off:fde=none:s2agt=32:slsq=on:slsqc=1:i=2082:si=on:rawr=on:rtra=on_0 on theBenchmark for (2904ds/2082Mi)
% 76.21/10.01 % (8552)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=12213:si=on:rawr=on:rtra=on_0 on theBenchmark for (2904ds/12213Mi)
% 76.21/10.01 % (8548)Instruction limit reached!
% 76.21/10.01 % (8548)------------------------------
% 76.21/10.01 % (8548)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 76.21/10.01 % (8548)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 76.21/10.01 % (8548)Termination reason: Unknown
% 76.21/10.01 % (8548)Termination phase: Saturation
% 76.21/10.01
% 76.21/10.01 % (8548)Memory used [KB]: 12409
% 76.21/10.01 % (8548)Time elapsed: 0.092 s
% 76.21/10.01 % (8548)Instructions burned: 154 (million)
% 76.21/10.01 % (8548)------------------------------
% 76.21/10.01 % (8548)------------------------------
% 76.21/10.06 % (8554)dis+10_1:1024_br=off:nwc=3.0:plsq=on:plsqc=2:plsqr=7,4:urr=on:i=287:si=on:rawr=on:rtra=on_0 on theBenchmark for (2904ds/287Mi)
% 77.38/10.14 % (8555)lrs+10_1:1_br=off:nm=5:plsq=on:plsqc=1:plsqr=32,1:urr=on:i=820:si=on:rawr=on:rtra=on_0 on theBenchmark for (2903ds/820Mi)
% 78.45/10.31 % (8445)Instruction limit reached!
% 78.45/10.31 % (8445)------------------------------
% 78.45/10.31 % (8445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 78.45/10.31 % (8445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 78.45/10.31 % (8445)Termination reason: Unknown
% 78.45/10.31 % (8445)Termination phase: Saturation
% 78.45/10.31
% 78.45/10.31 % (8445)Memory used [KB]: 50276
% 78.45/10.31 % (8445)Time elapsed: 6.276 s
% 78.45/10.31 % (8445)Instructions burned: 3380 (million)
% 78.45/10.31 % (8445)------------------------------
% 78.45/10.31 % (8445)------------------------------
% 79.17/10.39 % (8532)Instruction limit reached!
% 79.17/10.39 % (8532)------------------------------
% 79.17/10.39 % (8532)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 79.32/10.40 % (8532)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 79.32/10.40 % (8532)Termination reason: Unknown
% 79.32/10.40 % (8532)Termination phase: Saturation
% 79.32/10.40
% 79.32/10.40 % (8532)Memory used [KB]: 17782
% 79.32/10.40 % (8532)Time elapsed: 1.707 s
% 79.32/10.40 % (8532)Instructions burned: 936 (million)
% 79.32/10.40 % (8532)------------------------------
% 79.32/10.40 % (8532)------------------------------
% 79.83/10.45 % (8544)First to succeed.
% 79.83/10.45 % (8556)lrs+22_1:1_av=off:bsr=unit_only:nwc=3.0:plsq=on:plsqc=1:plsql=on:plsqr=3695814,127453:s2a=on:s2at=2.0:slsq=on:slsqc=1:slsqr=4,3:tgt=full:i=980:si=on:rawr=on:rtra=on_0 on theBenchmark for (2900ds/980Mi)
% 79.83/10.48 % (8554)Instruction limit reached!
% 79.83/10.48 % (8554)------------------------------
% 79.83/10.48 % (8554)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 79.83/10.49 % (8554)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 79.83/10.49 % (8554)Termination reason: Unknown
% 79.83/10.49 % (8554)Termination phase: Saturation
% 79.83/10.49
% 79.83/10.49 % (8554)Memory used [KB]: 14328
% 79.83/10.49 % (8554)Time elapsed: 0.481 s
% 79.83/10.49 % (8554)Instructions burned: 288 (million)
% 79.83/10.49 % (8554)------------------------------
% 79.83/10.49 % (8554)------------------------------
% 80.49/10.53 % (8544)Refutation found. Thanks to Tanya!
% 80.49/10.53 % SZS status Theorem for theBenchmark
% 80.49/10.53 % SZS output start Proof for theBenchmark
% See solution above
% 80.49/10.55 % (8544)------------------------------
% 80.49/10.55 % (8544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 80.49/10.55 % (8544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 80.49/10.55 % (8544)Termination reason: Refutation
% 80.49/10.55
% 80.49/10.55 % (8544)Memory used [KB]: 11385
% 80.49/10.55 % (8544)Time elapsed: 1.033 s
% 80.49/10.55 % (8544)Instructions burned: 781 (million)
% 80.49/10.55 % (8544)------------------------------
% 80.49/10.55 % (8544)------------------------------
% 80.49/10.55 % (7997)Success in time 10.188 s
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