TSTP Solution File: SEU213+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU213+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 : n002.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 18:27:29 EDT 2022
% Result : Theorem 49.27s 6.57s
% Output : Refutation 49.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 541
% Syntax : Number of formulae : 2610 ( 129 unt; 0 def)
% Number of atoms : 9151 ( 460 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 12431 (5890 ~;5763 |; 160 &)
% ( 501 <=>; 115 =>; 0 <=; 2 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 8 ( 1 avg)
% Number of predicates : 446 ( 444 usr; 435 prp; 0-2 aty)
% Number of functors : 53 ( 53 usr; 15 con; 0-4 aty)
% Number of variables : 1515 (1473 !; 42 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f28058,plain,
$false,
inference(avatar_smt_refutation,[],[f873,f877,f881,f885,f892,f898,f902,f906,f910,f914,f918,f922,f926,f930,f934,f935,f936,f937,f941,f945,f949,f953,f961,f969,f973,f977,f981,f985,f989,f993,f1015,f1022,f1036,f1048,f1053,f1069,f1075,f1079,f1083,f1088,f1103,f1114,f1149,f1263,f1265,f1303,f1530,f1565,f1596,f1855,f1859,f1863,f1871,f1880,f1889,f1908,f1926,f1930,f2102,f2106,f2110,f2277,f2354,f2399,f2404,f2411,f2415,f2419,f2423,f2427,f2447,f2566,f2599,f2604,f2627,f2628,f2654,f2675,f2711,f2751,f2756,f2845,f2998,f3027,f3076,f3080,f3084,f3088,f3139,f3143,f3144,f3148,f3152,f3170,f3176,f3190,f3201,f3215,f3216,f3243,f3299,f3303,f3314,f3356,f3380,f3393,f3396,f3415,f3451,f3488,f3495,f3519,f3523,f3527,f3618,f3631,f3679,f3699,f3732,f3755,f3759,f3770,f3872,f3898,f3920,f3924,f3925,f3926,f4101,f4122,f4131,f4136,f4143,f4185,f4186,f4187,f4255,f4260,f4285,f4290,f4304,f4335,f4336,f4393,f4414,f4423,f4488,f4492,f4515,f4543,f4564,f4570,f4630,f4634,f4638,f4642,f4648,f4652,f4656,f4913,f4927,f4931,f4935,f4941,f4945,f5020,f5193,f5197,f5219,f5235,f5404,f5408,f5487,f6236,f6573,f6605,f6801,f6901,f7345,f7349,f7406,f7466,f7470,f7716,f7720,f7724,f7736,f7778,f7802,f7807,f8128,f8144,f8150,f8167,f8168,f8185,f8197,f8268,f8272,f8276,f8283,f8287,f8294,f8426,f8453,f8506,f8764,f8765,f9138,f9140,f9202,f9238,f9242,f9246,f9250,f9261,f9262,f9387,f9388,f9426,f9451,f9486,f9497,f9652,f9669,f9683,f9729,f9833,f9841,f9933,f9937,f9961,f9968,f9972,f9973,f10185,f10213,f10224,f10264,f10276,f10354,f10524,f10528,f10532,f10570,f10724,f10732,f10740,f10752,f10794,f10799,f10868,f10939,f11042,f11046,f11079,f11180,f11211,f11362,f11458,f11459,f11463,f11464,f11482,f11487,f11496,f11544,f11563,f11594,f11623,f11627,f11698,f11709,f11759,f11822,f11826,f11867,f11873,f11885,f11895,f11902,f11924,f11943,f11984,f12032,f12058,f12059,f12065,f12069,f12073,f12074,f12079,f12080,f12081,f12082,f12124,f12128,f12141,f12142,f12144,f12145,f12156,f12169,f12173,f12178,f12182,f12184,f12185,f12206,f12210,f12214,f12218,f12222,f12283,f12284,f12397,f12401,f12405,f12479,f12485,f12498,f12526,f12530,f12531,f12532,f12542,f12548,f12552,f12639,f12643,f12705,f12709,f12713,f12716,f12795,f12800,f12818,f12822,f12833,f12840,f12844,f12848,f12852,f12873,f12877,f12915,f12919,f12923,f12929,f12934,f12938,f12939,f12940,f12997,f12998,f13245,f13412,f13416,f13442,f13553,f13570,f13680,f13725,f13853,f13880,f13881,f13882,f13947,f13951,f13955,f13959,f13965,f13975,f13979,f13983,f13992,f13996,f14000,f14141,f14145,f14149,f14177,f14181,f14308,f14310,f14340,f14341,f14345,f14375,f14379,f14381,f14384,f14388,f14408,f14409,f14416,f14439,f14442,f14443,f14477,f14546,f14583,f14633,f14694,f14731,f14735,f14739,f14996,f15003,f15078,f15145,f15152,f15292,f15296,f15533,f15537,f15575,f15579,f15687,f15688,f15734,f15736,f15810,f15866,f15882,f15918,f15990,f16035,f16036,f16086,f16136,f16216,f16220,f16227,f16236,f16247,f16437,f16560,f16652,f16694,f16698,f16702,f16706,f16710,f16714,f16854,f16867,f16904,f16993,f17003,f17085,f17089,f17357,f17361,f17365,f17369,f17402,f17464,f17465,f17536,f17549,f17557,f17561,f17565,f17586,f17607,f17623,f17627,f17699,f17703,f17707,f17711,f17747,f17758,f17765,f17779,f17780,f17806,f17807,f17907,f17958,f17962,f18106,f18110,f18114,f18123,f18207,f18311,f18720,f18733,f18832,f18834,f18891,f18893,f18897,f18921,f18922,f18937,f18956,f18970,f18972,f18979,f18980,f18981,f18988,f18989,f18990,f18997,f19011,f19014,f19016,f19019,f19023,f19025,f19028,f19041,f19048,f19073,f19077,f19099,f19100,f19101,f19131,f19169,f19173,f19176,f19179,f19185,f19189,f19190,f19218,f19252,f19270,f19284,f19285,f19293,f19294,f19302,f19317,f19318,f19322,f19323,f19381,f19391,f19414,f19415,f19419,f19435,f19461,f19480,f19481,f19527,f19547,f19551,f19590,f19625,f19688,f19689,f19738,f19741,f19769,f19771,f21199,f28011,f28057]) ).
fof(f28057,plain,
( ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_5
| spl79_7
| ~ spl79_26
| ~ spl79_27
| ~ spl79_38
| ~ spl79_39
| ~ spl79_48 ),
inference(avatar_contradiction_clause,[],[f28056]) ).
fof(f28056,plain,
( $false
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_5
| spl79_7
| ~ spl79_26
| ~ spl79_27
| ~ spl79_38
| ~ spl79_39
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f28049,f896]) ).
fof(f896,plain,
( ~ in(sF77,sF78)
| spl79_7 ),
inference(avatar_component_clause,[],[f895]) ).
fof(f895,plain,
( spl79_7
<=> in(sF77,sF78) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_7])]) ).
fof(f28049,plain,
( in(sF77,sF78)
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_5
| ~ spl79_26
| ~ spl79_27
| ~ spl79_38
| ~ spl79_39
| ~ spl79_48 ),
inference(resolution,[],[f888,f17519]) ).
fof(f17519,plain,
( ~ in(sK4,sF76)
| in(sF77,sF78)
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_26
| ~ spl79_27
| ~ spl79_38
| ~ spl79_39
| ~ spl79_48 ),
inference(superposition,[],[f17507,f1078]) ).
fof(f1078,plain,
( sF77 = apply(sK5,sK4)
| ~ spl79_39 ),
inference(avatar_component_clause,[],[f1077]) ).
fof(f1077,plain,
( spl79_39
<=> sF77 = apply(sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_39])]) ).
fof(f17507,plain,
( ! [X6] :
( in(apply(sK5,X6),sF78)
| ~ in(X6,sF76) )
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_26
| ~ spl79_27
| ~ spl79_38
| ~ spl79_48 ),
inference(forward_demodulation,[],[f17506,f984]) ).
fof(f984,plain,
( relation_dom(sF75) = sF76
| ~ spl79_26 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f983,plain,
( spl79_26
<=> relation_dom(sF75) = sF76 ),
introduced(avatar_definition,[new_symbols(naming,[spl79_26])]) ).
fof(f17506,plain,
( ! [X6] :
( ~ in(X6,relation_dom(sF75))
| in(apply(sK5,X6),sF78) )
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_27
| ~ spl79_38
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f17471,f1595]) ).
fof(f1595,plain,
( relation(sF75)
| ~ spl79_48 ),
inference(avatar_component_clause,[],[f1594]) ).
fof(f1594,plain,
( spl79_48
<=> relation(sF75) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_48])]) ).
fof(f17471,plain,
( ! [X6] :
( ~ relation(sF75)
| ~ in(X6,relation_dom(sF75))
| in(apply(sK5,X6),sF78) )
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_27
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f17378,f13271]) ).
fof(f13271,plain,
! [X2,X0] :
( in(ordered_pair(X2,sK65(X0,X2)),X0)
| ~ in(X2,relation_dom(X0))
| ~ relation(X0) ),
inference(gaussian_variable_elimination,[],[f789]) ).
fof(f789,plain,
! [X2,X0,X1] :
( relation_dom(X0) != X1
| ~ in(X2,X1)
| in(ordered_pair(X2,sK65(X0,X2)),X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f460]) ).
fof(f460,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) )
<=> relation_dom(X0) = X1 ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) )
<=> relation_dom(X0) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f17378,plain,
( ! [X8,X9] :
( ~ in(ordered_pair(X8,X9),sF75)
| in(apply(sK5,X8),sF78) )
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_27
| ~ spl79_38
| ~ spl79_48 ),
inference(backward_subsumption_demodulation,[],[f15913,f16549]) ).
fof(f16549,plain,
( ! [X4,X5] :
( apply(sK5,X4) = sK59(sK5,sK3,X4,X5)
| ~ in(ordered_pair(X4,X5),sF75) )
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f16548,f876]) ).
fof(f876,plain,
( function(sK5)
| ~ spl79_2 ),
inference(avatar_component_clause,[],[f875]) ).
fof(f875,plain,
( spl79_2
<=> function(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_2])]) ).
fof(f16548,plain,
( ! [X4,X5] :
( ~ in(ordered_pair(X4,X5),sF75)
| apply(sK5,X4) = sK59(sK5,sK3,X4,X5)
| ~ function(sK5) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f16536,f872]) ).
fof(f872,plain,
( relation(sK5)
| ~ spl79_1 ),
inference(avatar_component_clause,[],[f871]) ).
fof(f871,plain,
( spl79_1
<=> relation(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_1])]) ).
fof(f16536,plain,
( ! [X4,X5] :
( ~ in(ordered_pair(X4,X5),sF75)
| ~ relation(sK5)
| apply(sK5,X4) = sK59(sK5,sK3,X4,X5)
| ~ function(sK5) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f16440,f772]) ).
fof(f772,plain,
! [X2,X0,X1] :
( ~ in(ordered_pair(X0,X2),X1)
| ~ function(X1)
| ~ relation(X1)
| apply(X1,X0) = X2 ),
inference(cnf_transformation,[],[f345]) ).
fof(f345,plain,
! [X0,X1,X2] :
( ~ function(X1)
| ~ relation(X1)
| ( ( apply(X1,X0) = X2
& in(X0,relation_dom(X1)) )
<=> in(ordered_pair(X0,X2),X1) ) ),
inference(flattening,[],[f344]) ).
fof(f344,plain,
! [X1,X2,X0] :
( ( ( apply(X1,X0) = X2
& in(X0,relation_dom(X1)) )
<=> in(ordered_pair(X0,X2),X1) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f224]) ).
fof(f224,plain,
! [X1,X2,X0] :
( ( relation(X1)
& function(X1) )
=> ( ( apply(X1,X0) = X2
& in(X0,relation_dom(X1)) )
<=> in(ordered_pair(X0,X2),X1) ) ),
inference(rectify,[],[f209]) ).
fof(f209,axiom,
! [X0,X2,X1] :
( ( relation(X2)
& function(X2) )
=> ( ( in(X0,relation_dom(X2))
& apply(X2,X0) = X1 )
<=> in(ordered_pair(X0,X1),X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_funct_1) ).
fof(f16440,plain,
( ! [X2,X1] :
( in(ordered_pair(X1,sK59(sK5,sK3,X1,X2)),sK5)
| ~ in(ordered_pair(X1,X2),sF75) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f16438,f1595]) ).
fof(f16438,plain,
( ! [X2,X1] :
( in(ordered_pair(X1,sK59(sK5,sK3,X1,X2)),sK5)
| ~ relation(sF75)
| ~ in(ordered_pair(X1,X2),sF75) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38 ),
inference(gaussian_variable_elimination,[],[f16246]) ).
fof(f16246,plain,
( ! [X2,X0,X1] :
( sF75 != X0
| in(ordered_pair(X1,sK59(sK5,sK3,X1,X2)),sK5)
| ~ in(ordered_pair(X1,X2),X0)
| ~ relation(X0) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38 ),
inference(subsumption_resolution,[],[f16245,f872]) ).
fof(f16245,plain,
( ! [X2,X0,X1] :
( in(ordered_pair(X1,sK59(sK5,sK3,X1,X2)),sK5)
| ~ in(ordered_pair(X1,X2),X0)
| ~ relation(X0)
| ~ relation(sK5)
| sF75 != X0 )
| ~ spl79_3
| ~ spl79_38 ),
inference(subsumption_resolution,[],[f16238,f880]) ).
fof(f880,plain,
( relation(sK3)
| ~ spl79_3 ),
inference(avatar_component_clause,[],[f879]) ).
fof(f879,plain,
( spl79_3
<=> relation(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_3])]) ).
fof(f16238,plain,
( ! [X2,X0,X1] :
( sF75 != X0
| ~ relation(X0)
| ~ in(ordered_pair(X1,X2),X0)
| ~ relation(sK3)
| in(ordered_pair(X1,sK59(sK5,sK3,X1,X2)),sK5)
| ~ relation(sK5) )
| ~ spl79_38 ),
inference(superposition,[],[f760,f1074]) ).
fof(f1074,plain,
( relation_composition(sK5,sK3) = sF75
| ~ spl79_38 ),
inference(avatar_component_clause,[],[f1073]) ).
fof(f1073,plain,
( spl79_38
<=> relation_composition(sK5,sK3) = sF75 ),
introduced(avatar_definition,[new_symbols(naming,[spl79_38])]) ).
fof(f760,plain,
! [X2,X3,X0,X1,X4] :
( relation_composition(X0,X1) != X2
| ~ in(ordered_pair(X3,X4),X2)
| ~ relation(X2)
| in(ordered_pair(X3,sK59(X0,X1,X3,X4)),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f316]) ).
fof(f316,plain,
! [X0] :
( ! [X1] :
( ~ relation(X1)
| ! [X2] :
( ( ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ? [X5] :
( in(ordered_pair(X3,X5),X0)
& in(ordered_pair(X5,X4),X1) ) )
<=> relation_composition(X0,X1) = X2 )
| ~ relation(X2) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ? [X5] :
( in(ordered_pair(X3,X5),X0)
& in(ordered_pair(X5,X4),X1) ) )
<=> relation_composition(X0,X1) = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_relat_1) ).
fof(f15913,plain,
( ! [X8,X9] :
( in(sK59(sK5,sK3,X8,X9),sF78)
| ~ in(ordered_pair(X8,X9),sF75) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_27
| ~ spl79_38
| ~ spl79_48 ),
inference(forward_demodulation,[],[f15912,f988]) ).
fof(f988,plain,
( sF78 = relation_dom(sK3)
| ~ spl79_27 ),
inference(avatar_component_clause,[],[f987]) ).
fof(f987,plain,
( spl79_27
<=> sF78 = relation_dom(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_27])]) ).
fof(f15912,plain,
( ! [X8,X9] :
( ~ in(ordered_pair(X8,X9),sF75)
| in(sK59(sK5,sK3,X8,X9),relation_dom(sK3)) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f15893,f880]) ).
fof(f15893,plain,
( ! [X8,X9] :
( ~ in(ordered_pair(X8,X9),sF75)
| in(sK59(sK5,sK3,X8,X9),relation_dom(sK3))
| ~ relation(sK3) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f15888,f824]) ).
fof(f824,plain,
! [X2,X0,X1] :
( ~ in(ordered_pair(X2,X1),X0)
| in(X2,relation_dom(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f377]) ).
fof(f377,plain,
! [X0,X2,X1] :
( ~ relation(X0)
| ~ in(ordered_pair(X2,X1),X0)
| ( in(X1,relation_rng(X0))
& in(X2,relation_dom(X0)) ) ),
inference(flattening,[],[f376]) ).
fof(f376,plain,
! [X1,X2,X0] :
( ( in(X1,relation_rng(X0))
& in(X2,relation_dom(X0)) )
| ~ in(ordered_pair(X2,X1),X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f256]) ).
fof(f256,plain,
! [X1,X2,X0] :
( relation(X0)
=> ( in(ordered_pair(X2,X1),X0)
=> ( in(X1,relation_rng(X0))
& in(X2,relation_dom(X0)) ) ) ),
inference(rectify,[],[f148]) ).
fof(f148,axiom,
! [X2,X1,X0] :
( relation(X2)
=> ( in(ordered_pair(X0,X1),X2)
=> ( in(X1,relation_rng(X2))
& in(X0,relation_dom(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_relat_1) ).
fof(f15888,plain,
( ! [X2,X1] :
( in(ordered_pair(sK59(sK5,sK3,X1,X2),X2),sK3)
| ~ in(ordered_pair(X1,X2),sF75) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f15885,f1595]) ).
fof(f15885,plain,
( ! [X2,X1] :
( in(ordered_pair(sK59(sK5,sK3,X1,X2),X2),sK3)
| ~ relation(sF75)
| ~ in(ordered_pair(X1,X2),sF75) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38 ),
inference(gaussian_variable_elimination,[],[f15875]) ).
fof(f15875,plain,
( ! [X2,X0,X1] :
( sF75 != X0
| ~ in(ordered_pair(X1,X2),X0)
| in(ordered_pair(sK59(sK5,sK3,X1,X2),X2),sK3)
| ~ relation(X0) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38 ),
inference(subsumption_resolution,[],[f15874,f872]) ).
fof(f15874,plain,
( ! [X2,X0,X1] :
( ~ relation(X0)
| in(ordered_pair(sK59(sK5,sK3,X1,X2),X2),sK3)
| ~ in(ordered_pair(X1,X2),X0)
| ~ relation(sK5)
| sF75 != X0 )
| ~ spl79_3
| ~ spl79_38 ),
inference(subsumption_resolution,[],[f15870,f880]) ).
fof(f15870,plain,
( ! [X2,X0,X1] :
( ~ relation(sK3)
| sF75 != X0
| ~ in(ordered_pair(X1,X2),X0)
| ~ relation(X0)
| ~ relation(sK5)
| in(ordered_pair(sK59(sK5,sK3,X1,X2),X2),sK3) )
| ~ spl79_38 ),
inference(superposition,[],[f759,f1074]) ).
fof(f759,plain,
! [X2,X3,X0,X1,X4] :
( relation_composition(X0,X1) != X2
| in(ordered_pair(sK59(X0,X1,X3,X4),X4),X1)
| ~ relation(X1)
| ~ relation(X0)
| ~ in(ordered_pair(X3,X4),X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f316]) ).
fof(f888,plain,
( in(sK4,sF76)
| ~ spl79_5 ),
inference(avatar_component_clause,[],[f887]) ).
fof(f887,plain,
( spl79_5
<=> in(sK4,sF76) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_5])]) ).
fof(f28011,plain,
( ~ spl79_1
| ~ spl79_3
| ~ spl79_4
| spl79_5
| ~ spl79_7
| ~ spl79_26
| ~ spl79_27
| ~ spl79_38
| ~ spl79_48
| ~ spl79_316 ),
inference(avatar_contradiction_clause,[],[f28010]) ).
fof(f28010,plain,
( $false
| ~ spl79_1
| ~ spl79_3
| ~ spl79_4
| spl79_5
| ~ spl79_7
| ~ spl79_26
| ~ spl79_27
| ~ spl79_38
| ~ spl79_48
| ~ spl79_316 ),
inference(subsumption_resolution,[],[f28009,f2414]) ).
fof(f2414,plain,
( ~ in(sK4,sF76)
| spl79_5 ),
inference(avatar_component_clause,[],[f887]) ).
fof(f28009,plain,
( in(sK4,sF76)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_4
| ~ spl79_7
| ~ spl79_26
| ~ spl79_27
| ~ spl79_38
| ~ spl79_48
| ~ spl79_316 ),
inference(subsumption_resolution,[],[f27978,f2403]) ).
fof(f2403,plain,
( in(sF77,sF78)
| ~ spl79_7 ),
inference(avatar_component_clause,[],[f895]) ).
fof(f27978,plain,
( ~ in(sF77,sF78)
| in(sK4,sF76)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_4
| ~ spl79_26
| ~ spl79_27
| ~ spl79_38
| ~ spl79_48
| ~ spl79_316 ),
inference(resolution,[],[f18713,f13852]) ).
fof(f13852,plain,
( in(ordered_pair(sK4,sF77),sK5)
| ~ spl79_316 ),
inference(avatar_component_clause,[],[f13851]) ).
fof(f13851,plain,
( spl79_316
<=> in(ordered_pair(sK4,sF77),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_316])]) ).
fof(f18713,plain,
( ! [X16,X17] :
( ~ in(ordered_pair(X16,X17),sK5)
| in(X16,sF76)
| ~ in(X17,sF78) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_4
| ~ spl79_26
| ~ spl79_27
| ~ spl79_38
| ~ spl79_48 ),
inference(forward_demodulation,[],[f18712,f984]) ).
fof(f18712,plain,
( ! [X16,X17] :
( ~ in(ordered_pair(X16,X17),sK5)
| ~ in(X17,sF78)
| in(X16,relation_dom(sF75)) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_4
| ~ spl79_27
| ~ spl79_38
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f18688,f1595]) ).
fof(f18688,plain,
( ! [X16,X17] :
( ~ relation(sF75)
| ~ in(ordered_pair(X16,X17),sK5)
| in(X16,relation_dom(sF75))
| ~ in(X17,sF78) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_4
| ~ spl79_27
| ~ spl79_38 ),
inference(resolution,[],[f17126,f824]) ).
fof(f17126,plain,
( ! [X0,X1] :
( in(ordered_pair(X0,apply(sK3,X1)),sF75)
| ~ in(ordered_pair(X0,X1),sK5)
| ~ in(X1,sF78) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_4
| ~ spl79_27
| ~ spl79_38 ),
inference(forward_demodulation,[],[f17125,f988]) ).
fof(f17125,plain,
( ! [X0,X1] :
( in(ordered_pair(X0,apply(sK3,X1)),sF75)
| ~ in(ordered_pair(X0,X1),sK5)
| ~ in(X1,relation_dom(sK3)) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_4
| ~ spl79_38 ),
inference(subsumption_resolution,[],[f17124,f880]) ).
fof(f17124,plain,
( ! [X0,X1] :
( ~ in(X1,relation_dom(sK3))
| ~ in(ordered_pair(X0,X1),sK5)
| in(ordered_pair(X0,apply(sK3,X1)),sF75)
| ~ relation(sK3) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_4
| ~ spl79_38 ),
inference(subsumption_resolution,[],[f17092,f884]) ).
fof(f884,plain,
( function(sK3)
| ~ spl79_4 ),
inference(avatar_component_clause,[],[f883]) ).
fof(f883,plain,
( spl79_4
<=> function(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_4])]) ).
fof(f17092,plain,
( ! [X0,X1] :
( ~ in(X1,relation_dom(sK3))
| in(ordered_pair(X0,apply(sK3,X1)),sF75)
| ~ in(ordered_pair(X0,X1),sK5)
| ~ function(sK3)
| ~ relation(sK3) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38 ),
inference(resolution,[],[f17076,f13778]) ).
fof(f13778,plain,
! [X0,X1] :
( in(ordered_pair(X0,apply(X1,X0)),X1)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X0,relation_dom(X1)) ),
inference(gaussian_variable_elimination,[],[f770]) ).
fof(f770,plain,
! [X2,X0,X1] :
( apply(X1,X0) != X2
| in(ordered_pair(X0,X2),X1)
| ~ function(X1)
| ~ relation(X1)
| ~ in(X0,relation_dom(X1)) ),
inference(cnf_transformation,[],[f345]) ).
fof(f17076,plain,
( ! [X2,X0,X1] :
( ~ in(ordered_pair(X2,X1),sK3)
| in(ordered_pair(X0,X1),sF75)
| ~ in(ordered_pair(X0,X2),sK5) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38 ),
inference(subsumption_resolution,[],[f17075,f880]) ).
fof(f17075,plain,
( ! [X2,X0,X1] :
( ~ in(ordered_pair(X2,X1),sK3)
| ~ in(ordered_pair(X0,X2),sK5)
| ~ relation(sK3)
| in(ordered_pair(X0,X1),sF75) )
| ~ spl79_1
| ~ spl79_38 ),
inference(subsumption_resolution,[],[f17059,f872]) ).
fof(f17059,plain,
( ! [X2,X0,X1] :
( in(ordered_pair(X0,X1),sF75)
| ~ relation(sK5)
| ~ relation(sK3)
| ~ in(ordered_pair(X2,X1),sK3)
| ~ in(ordered_pair(X0,X2),sK5) )
| ~ spl79_38 ),
inference(superposition,[],[f17032,f1074]) ).
fof(f17032,plain,
! [X3,X0,X1,X4,X5] :
( in(ordered_pair(X3,X4),relation_composition(X0,X1))
| ~ relation(X1)
| ~ in(ordered_pair(X3,X5),X0)
| ~ relation(X0)
| ~ in(ordered_pair(X5,X4),X1) ),
inference(subsumption_resolution,[],[f17027,f535]) ).
fof(f535,plain,
! [X0,X1] :
( relation(relation_composition(X1,X0))
| ~ relation(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f448]) ).
fof(f448,plain,
! [X0,X1] :
( relation(relation_composition(X1,X0))
| ~ relation(X1)
| ~ relation(X0) ),
inference(flattening,[],[f447]) ).
fof(f447,plain,
! [X1,X0] :
( relation(relation_composition(X1,X0))
| ~ relation(X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f230]) ).
fof(f230,plain,
! [X1,X0] :
( ( relation(X0)
& relation(X1) )
=> relation(relation_composition(X1,X0)) ),
inference(rectify,[],[f60]) ).
fof(f60,axiom,
! [X1,X0] :
( ( relation(X1)
& relation(X0) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f17027,plain,
! [X3,X0,X1,X4,X5] :
( ~ in(ordered_pair(X3,X5),X0)
| ~ relation(X1)
| ~ relation(relation_composition(X0,X1))
| in(ordered_pair(X3,X4),relation_composition(X0,X1))
| ~ relation(X0)
| ~ in(ordered_pair(X5,X4),X1) ),
inference(gaussian_variable_elimination,[],[f761]) ).
fof(f761,plain,
! [X2,X3,X0,X1,X4,X5] :
( relation_composition(X0,X1) != X2
| ~ relation(X1)
| ~ in(ordered_pair(X5,X4),X1)
| in(ordered_pair(X3,X4),X2)
| ~ relation(X0)
| ~ in(ordered_pair(X3,X5),X0)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f316]) ).
fof(f21199,plain,
( ~ spl79_9
| spl79_33
| ~ spl79_48
| ~ spl79_75 ),
inference(avatar_contradiction_clause,[],[f21198]) ).
fof(f21198,plain,
( $false
| ~ spl79_9
| spl79_33
| ~ spl79_48
| ~ spl79_75 ),
inference(subsumption_resolution,[],[f21197,f905]) ).
fof(f905,plain,
( empty(empty_set)
| ~ spl79_9 ),
inference(avatar_component_clause,[],[f904]) ).
fof(f904,plain,
( spl79_9
<=> empty(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_9])]) ).
fof(f21197,plain,
( ~ empty(empty_set)
| spl79_33
| ~ spl79_48
| ~ spl79_75 ),
inference(subsumption_resolution,[],[f21196,f1595]) ).
fof(f21196,plain,
( ~ relation(sF75)
| ~ empty(empty_set)
| spl79_33
| ~ spl79_75 ),
inference(subsumption_resolution,[],[f21189,f1032]) ).
fof(f1032,plain,
( ~ empty(sF75)
| spl79_33 ),
inference(avatar_component_clause,[],[f1031]) ).
fof(f1031,plain,
( spl79_33
<=> empty(sF75) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_33])]) ).
fof(f21189,plain,
( empty(sF75)
| ~ empty(empty_set)
| ~ relation(sF75)
| ~ spl79_75 ),
inference(superposition,[],[f693,f2653]) ).
fof(f2653,plain,
( empty_set = relation_rng(sF75)
| ~ spl79_75 ),
inference(avatar_component_clause,[],[f2652]) ).
fof(f2652,plain,
( spl79_75
<=> empty_set = relation_rng(sF75) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_75])]) ).
fof(f693,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| empty(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f340]) ).
fof(f340,plain,
! [X0] :
( ~ relation(X0)
| ~ empty(relation_rng(X0))
| empty(X0) ),
inference(flattening,[],[f339]) ).
fof(f339,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| empty(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,axiom,
! [X0] :
( ( ~ empty(X0)
& relation(X0) )
=> ~ empty(relation_rng(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_relat_1) ).
fof(f19771,plain,
( spl79_434
| spl79_351
| ~ spl79_19
| ~ spl79_26
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f19758,f1594,f983,f947,f15685,f19767]) ).
fof(f19767,plain,
( spl79_434
<=> ! [X4] : ~ empty(set_union2(X4,sF75)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_434])]) ).
fof(f15685,plain,
( spl79_351
<=> ! [X2] : ~ in(X2,sF76) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_351])]) ).
fof(f947,plain,
( spl79_19
<=> empty_set = relation_dom(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_19])]) ).
fof(f19758,plain,
( ! [X2,X3] :
( ~ in(X3,sF76)
| ~ empty(set_union2(X2,sF75)) )
| ~ spl79_19
| ~ spl79_26
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f19744,f745]) ).
fof(f745,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f375]) ).
fof(f375,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(ennf_transformation,[],[f203]) ).
fof(f203,axiom,
! [X0,X1] :
~ ( in(X0,X1)
& empty(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f19744,plain,
( ! [X2,X3] :
( in(X3,set_union2(X2,sF75))
| ~ empty(set_union2(X2,sF75))
| ~ in(X3,sF76) )
| ~ spl79_19
| ~ spl79_26
| ~ spl79_48 ),
inference(resolution,[],[f19149,f529]) ).
fof(f529,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X2,X0)
| in(X2,X1) ),
inference(cnf_transformation,[],[f341]) ).
fof(f341,plain,
! [X1,X0] :
( ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) )
<=> subset(X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f19149,plain,
( ! [X2] :
( subset(sF76,set_union2(X2,sF75))
| ~ empty(set_union2(X2,sF75)) )
| ~ spl79_19
| ~ spl79_26
| ~ spl79_48 ),
inference(resolution,[],[f19117,f1235]) ).
fof(f1235,plain,
! [X6,X7] : subset(X6,set_union2(X7,X6)),
inference(superposition,[],[f617,f541]) ).
fof(f541,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf_transformation,[],[f294]) ).
fof(f294,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0] : set_union2(X0,X1) = set_union2(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f617,plain,
! [X0,X1] : subset(X0,set_union2(X0,X1)),
inference(cnf_transformation,[],[f204]) ).
fof(f204,axiom,
! [X1,X0] : subset(X0,set_union2(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_xboole_1) ).
fof(f19117,plain,
( ! [X0] :
( ~ subset(sF75,X0)
| subset(sF76,X0)
| ~ empty(X0) )
| ~ spl79_19
| ~ spl79_26
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f19108,f709]) ).
fof(f709,plain,
! [X0] :
( ~ empty(X0)
| relation(X0) ),
inference(cnf_transformation,[],[f361]) ).
fof(f361,plain,
! [X0] :
( ~ empty(X0)
| relation(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( empty(X0)
=> relation(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relat_1) ).
fof(f19108,plain,
( ! [X0] :
( subset(sF76,X0)
| ~ subset(sF75,X0)
| ~ empty(X0)
| ~ relation(X0) )
| ~ spl79_19
| ~ spl79_26
| ~ spl79_48 ),
inference(superposition,[],[f12109,f1061]) ).
fof(f1061,plain,
( ! [X0] :
( relation_dom(X0) = X0
| ~ empty(X0) )
| ~ spl79_19 ),
inference(superposition,[],[f948,f828]) ).
fof(f828,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(cnf_transformation,[],[f459]) ).
fof(f459,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f199]) ).
fof(f199,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f948,plain,
( empty_set = relation_dom(empty_set)
| ~ spl79_19 ),
inference(avatar_component_clause,[],[f947]) ).
fof(f12109,plain,
( ! [X0] :
( subset(sF76,relation_dom(X0))
| ~ relation(X0)
| ~ subset(sF75,X0) )
| ~ spl79_26
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f12096,f1595]) ).
fof(f12096,plain,
( ! [X0] :
( subset(sF76,relation_dom(X0))
| ~ relation(X0)
| ~ subset(sF75,X0)
| ~ relation(sF75) )
| ~ spl79_26 ),
inference(superposition,[],[f556,f984]) ).
fof(f556,plain,
! [X0,X1] :
( subset(relation_dom(X0),relation_dom(X1))
| ~ relation(X1)
| ~ subset(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f381]) ).
fof(f381,plain,
! [X0] :
( ! [X1] :
( ~ relation(X1)
| ( subset(relation_rng(X0),relation_rng(X1))
& subset(relation_dom(X0),relation_dom(X1)) )
| ~ subset(X0,X1) )
| ~ relation(X0) ),
inference(flattening,[],[f380]) ).
fof(f380,plain,
! [X0] :
( ! [X1] :
( ( subset(relation_rng(X0),relation_rng(X1))
& subset(relation_dom(X0),relation_dom(X1)) )
| ~ subset(X0,X1)
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f152]) ).
fof(f152,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(X0,X1)
=> ( subset(relation_rng(X0),relation_rng(X1))
& subset(relation_dom(X0),relation_dom(X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_relat_1) ).
fof(f19769,plain,
( spl79_434
| spl79_389
| ~ spl79_19
| ~ spl79_26
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f19757,f1594,f983,f947,f17697,f19767]) ).
fof(f17697,plain,
( spl79_389
<=> ! [X0] : subset(sF76,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_389])]) ).
fof(f19757,plain,
( ! [X4,X5] :
( subset(sF76,X5)
| ~ empty(set_union2(X4,sF75)) )
| ~ spl79_19
| ~ spl79_26
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f19745,f1057]) ).
fof(f1057,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ empty(X0) ),
inference(superposition,[],[f616,f828]) ).
fof(f616,plain,
! [X0] : subset(empty_set,X0),
inference(cnf_transformation,[],[f158]) ).
fof(f158,axiom,
! [X0] : subset(empty_set,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_xboole_1) ).
fof(f19745,plain,
( ! [X4,X5] :
( ~ subset(set_union2(X4,sF75),X5)
| subset(sF76,X5)
| ~ empty(set_union2(X4,sF75)) )
| ~ spl79_19
| ~ spl79_26
| ~ spl79_48 ),
inference(resolution,[],[f19149,f747]) ).
fof(f747,plain,
! [X2,X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X2)
| subset(X1,X2) ),
inference(cnf_transformation,[],[f323]) ).
fof(f323,plain,
! [X2,X0,X1] :
( ~ subset(X0,X2)
| subset(X1,X2)
| ~ subset(X1,X0) ),
inference(flattening,[],[f322]) ).
fof(f322,plain,
! [X0,X1,X2] :
( subset(X1,X2)
| ~ subset(X1,X0)
| ~ subset(X0,X2) ),
inference(ennf_transformation,[],[f245]) ).
fof(f245,plain,
! [X0,X1,X2] :
( ( subset(X1,X0)
& subset(X0,X2) )
=> subset(X1,X2) ),
inference(rectify,[],[f146]) ).
fof(f146,axiom,
! [X1,X0,X2] :
( ( subset(X0,X1)
& subset(X1,X2) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f19741,plain,
( spl79_351
| spl79_433
| ~ spl79_19
| ~ spl79_26
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f19733,f1594,f983,f947,f19736,f15685]) ).
fof(f19736,plain,
( spl79_433
<=> ! [X4] : ~ empty(set_union2(sF75,X4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_433])]) ).
fof(f19733,plain,
( ! [X2,X3] :
( ~ empty(set_union2(sF75,X2))
| ~ in(X3,sF76) )
| ~ spl79_19
| ~ spl79_26
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f19719,f745]) ).
fof(f19719,plain,
( ! [X2,X3] :
( ~ in(X3,sF76)
| in(X3,set_union2(sF75,X2))
| ~ empty(set_union2(sF75,X2)) )
| ~ spl79_19
| ~ spl79_26
| ~ spl79_48 ),
inference(resolution,[],[f19148,f529]) ).
fof(f19148,plain,
( ! [X1] :
( subset(sF76,set_union2(sF75,X1))
| ~ empty(set_union2(sF75,X1)) )
| ~ spl79_19
| ~ spl79_26
| ~ spl79_48 ),
inference(resolution,[],[f19117,f617]) ).
fof(f19738,plain,
( spl79_389
| spl79_433
| ~ spl79_19
| ~ spl79_26
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f19732,f1594,f983,f947,f19736,f17697]) ).
fof(f19732,plain,
( ! [X4,X5] :
( ~ empty(set_union2(sF75,X4))
| subset(sF76,X5) )
| ~ spl79_19
| ~ spl79_26
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f19720,f1057]) ).
fof(f19720,plain,
( ! [X4,X5] :
( ~ subset(set_union2(sF75,X4),X5)
| subset(sF76,X5)
| ~ empty(set_union2(sF75,X4)) )
| ~ spl79_19
| ~ spl79_26
| ~ spl79_48 ),
inference(resolution,[],[f19148,f747]) ).
fof(f19689,plain,
( ~ spl79_37
| spl79_410
| spl79_76 ),
inference(avatar_split_clause,[],[f19636,f2670,f18968,f1067]) ).
fof(f1067,plain,
( spl79_37
<=> empty(sF78) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_37])]) ).
fof(f18968,plain,
( spl79_410
<=> ! [X0] : ~ empty(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_410])]) ).
fof(f2670,plain,
( spl79_76
<=> subset(sF78,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_76])]) ).
fof(f19636,plain,
( ! [X1] :
( ~ empty(X1)
| ~ empty(sF78) )
| spl79_76 ),
inference(resolution,[],[f19602,f2190]) ).
fof(f2190,plain,
! [X2,X3] :
( in(X2,powerset(X3))
| ~ empty(X2) ),
inference(subsumption_resolution,[],[f2186,f593]) ).
fof(f593,plain,
! [X0] : ~ empty(powerset(X0)),
inference(cnf_transformation,[],[f75]) ).
fof(f75,axiom,
! [X0] : ~ empty(powerset(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f2186,plain,
! [X2,X3] :
( in(X2,powerset(X3))
| empty(powerset(X3))
| ~ empty(X2) ),
inference(resolution,[],[f2167,f508]) ).
fof(f508,plain,
! [X0,X1] :
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f453]) ).
fof(f453,plain,
! [X0,X1] :
( ( ~ empty(X1)
| ( empty(X0)
<=> element(X0,X1) ) )
& ( empty(X1)
| ( element(X0,X1)
<=> in(X0,X1) ) ) ),
inference(ennf_transformation,[],[f277]) ).
fof(f277,plain,
! [X0,X1] :
( ( empty(X1)
=> ( empty(X0)
<=> element(X0,X1) ) )
& ( ~ empty(X1)
=> ( element(X0,X1)
<=> in(X0,X1) ) ) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X1,X0] :
( ( empty(X0)
=> ( element(X1,X0)
<=> empty(X1) ) )
& ( ~ empty(X0)
=> ( in(X1,X0)
<=> element(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_subset_1) ).
fof(f2167,plain,
! [X6,X5] :
( element(X5,powerset(X6))
| ~ empty(X5) ),
inference(resolution,[],[f713,f745]) ).
fof(f713,plain,
! [X0,X1] :
( in(sK44(X0,X1),X0)
| element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f387]) ).
fof(f387,plain,
! [X1,X0] :
( ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) )
| element(X0,powerset(X1)) ),
inference(ennf_transformation,[],[f107]) ).
fof(f107,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
=> element(X0,powerset(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l71_subset_1) ).
fof(f19602,plain,
( ! [X0] :
( ~ in(sF78,powerset(X0))
| ~ empty(X0) )
| spl79_76 ),
inference(superposition,[],[f19280,f704]) ).
fof(f704,plain,
! [X0] : union(powerset(X0)) = X0,
inference(cnf_transformation,[],[f216]) ).
fof(f216,axiom,
! [X0] : union(powerset(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t99_zfmisc_1) ).
fof(f19280,plain,
( ! [X8] :
( ~ empty(union(X8))
| ~ in(sF78,X8) )
| spl79_76 ),
inference(resolution,[],[f19027,f718]) ).
fof(f718,plain,
! [X0,X1] :
( subset(X1,union(X0))
| ~ in(X1,X0) ),
inference(cnf_transformation,[],[f369]) ).
fof(f369,plain,
! [X1,X0] :
( ~ in(X1,X0)
| subset(X1,union(X0)) ),
inference(ennf_transformation,[],[f236]) ).
fof(f236,plain,
! [X1,X0] :
( in(X1,X0)
=> subset(X1,union(X0)) ),
inference(rectify,[],[f105]) ).
fof(f105,axiom,
! [X1,X0] :
( in(X0,X1)
=> subset(X0,union(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l50_zfmisc_1) ).
fof(f19027,plain,
( ! [X0] :
( ~ subset(sF78,X0)
| ~ empty(X0) )
| spl79_76 ),
inference(superposition,[],[f2671,f828]) ).
fof(f2671,plain,
( ~ subset(sF78,empty_set)
| spl79_76 ),
inference(avatar_component_clause,[],[f2670]) ).
fof(f19688,plain,
( ~ spl79_37
| spl79_76 ),
inference(avatar_split_clause,[],[f19634,f2670,f1067]) ).
fof(f19634,plain,
( ~ empty(sF78)
| spl79_76 ),
inference(resolution,[],[f19602,f1550]) ).
fof(f1550,plain,
! [X10] : in(X10,powerset(X10)),
inference(subsumption_resolution,[],[f1537,f593]) ).
fof(f1537,plain,
! [X10] :
( in(X10,powerset(X10))
| empty(powerset(X10)) ),
inference(resolution,[],[f508,f1040]) ).
fof(f1040,plain,
! [X0] : element(X0,powerset(X0)),
inference(forward_demodulation,[],[f637,f729]) ).
fof(f729,plain,
! [X0] : cast_to_subset(X0) = X0,
inference(cnf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] : cast_to_subset(X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_subset_1) ).
fof(f637,plain,
! [X0] : element(cast_to_subset(X0),powerset(X0)),
inference(cnf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0] : element(cast_to_subset(X0),powerset(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_subset_1) ).
fof(f19625,plain,
( ~ spl79_432
| spl79_76
| ~ spl79_100
| ~ spl79_227 ),
inference(avatar_split_clause,[],[f19613,f10222,f3297,f2670,f19623]) ).
fof(f19623,plain,
( spl79_432
<=> empty(cartesian_product2(relation_dom(relation_field(sK3)),relation_rng(relation_field(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_432])]) ).
fof(f3297,plain,
( spl79_100
<=> subset(sF78,relation_field(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_100])]) ).
fof(f10222,plain,
( spl79_227
<=> relation(relation_field(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_227])]) ).
fof(f19613,plain,
( ~ empty(cartesian_product2(relation_dom(relation_field(sK3)),relation_rng(relation_field(sK3))))
| spl79_76
| ~ spl79_100
| ~ spl79_227 ),
inference(subsumption_resolution,[],[f19609,f10223]) ).
fof(f10223,plain,
( relation(relation_field(sK3))
| ~ spl79_227 ),
inference(avatar_component_clause,[],[f10222]) ).
fof(f19609,plain,
( ~ relation(relation_field(sK3))
| ~ empty(cartesian_product2(relation_dom(relation_field(sK3)),relation_rng(relation_field(sK3))))
| spl79_76
| ~ spl79_100 ),
inference(resolution,[],[f19421,f526]) ).
fof(f526,plain,
! [X0] :
( subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0)))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f362]) ).
fof(f362,plain,
! [X0] :
( subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0)))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f151]) ).
fof(f151,axiom,
! [X0] :
( relation(X0)
=> subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_relat_1) ).
fof(f19421,plain,
( ! [X0] :
( ~ subset(relation_field(sK3),X0)
| ~ empty(X0) )
| spl79_76
| ~ spl79_100 ),
inference(superposition,[],[f19273,f497]) ).
fof(f497,plain,
! [X0,X1] :
( set_union2(X0,X1) = X1
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f477]) ).
fof(f477,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| set_union2(X0,X1) = X1 ),
inference(ennf_transformation,[],[f130]) ).
fof(f130,axiom,
! [X1,X0] :
( subset(X0,X1)
=> set_union2(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_xboole_1) ).
fof(f19273,plain,
( ! [X1] : ~ empty(set_union2(relation_field(sK3),X1))
| spl79_76
| ~ spl79_100 ),
inference(resolution,[],[f19027,f5501]) ).
fof(f5501,plain,
( ! [X1] : subset(sF78,set_union2(relation_field(sK3),X1))
| ~ spl79_100 ),
inference(resolution,[],[f3308,f617]) ).
fof(f3308,plain,
( ! [X1] :
( ~ subset(relation_field(sK3),X1)
| subset(sF78,X1) )
| ~ spl79_100 ),
inference(resolution,[],[f3298,f747]) ).
fof(f3298,plain,
( subset(sF78,relation_field(sK3))
| ~ spl79_100 ),
inference(avatar_component_clause,[],[f3297]) ).
fof(f19590,plain,
( spl79_430
| ~ spl79_37
| ~ spl79_3
| ~ spl79_27 ),
inference(avatar_split_clause,[],[f19033,f987,f879,f1067,f19545]) ).
fof(f19545,plain,
( spl79_430
<=> ! [X36] : empty(relation_inverse_image(sK3,X36)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_430])]) ).
fof(f19033,plain,
( ! [X6] :
( ~ empty(sF78)
| empty(relation_inverse_image(sK3,X6)) )
| ~ spl79_3
| ~ spl79_27 ),
inference(resolution,[],[f1437,f1310]) ).
fof(f1310,plain,
! [X6,X7] :
( ~ subset(X6,X7)
| empty(X6)
| ~ empty(X7) ),
inference(superposition,[],[f736,f497]) ).
fof(f736,plain,
! [X0,X1] :
( ~ empty(set_union2(X1,X0))
| empty(X1) ),
inference(cnf_transformation,[],[f393]) ).
fof(f393,plain,
! [X1,X0] :
( empty(X1)
| ~ empty(set_union2(X1,X0)) ),
inference(ennf_transformation,[],[f307]) ).
fof(f307,plain,
! [X1,X0] :
( ~ empty(X1)
=> ~ empty(set_union2(X1,X0)) ),
inference(rectify,[],[f80]) ).
fof(f80,axiom,
! [X1,X0] :
( ~ empty(X0)
=> ~ empty(set_union2(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_xboole_0) ).
fof(f1437,plain,
( ! [X5] : subset(relation_inverse_image(sK3,X5),sF78)
| ~ spl79_3
| ~ spl79_27 ),
inference(subsumption_resolution,[],[f1433,f880]) ).
fof(f1433,plain,
( ! [X5] :
( ~ relation(sK3)
| subset(relation_inverse_image(sK3,X5),sF78) )
| ~ spl79_27 ),
inference(superposition,[],[f676,f988]) ).
fof(f676,plain,
! [X0,X1] :
( subset(relation_inverse_image(X1,X0),relation_dom(X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f458]) ).
fof(f458,plain,
! [X0,X1] :
( subset(relation_inverse_image(X1,X0),relation_dom(X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f139]) ).
fof(f139,axiom,
! [X1,X0] :
( relation(X1)
=> subset(relation_inverse_image(X1,X0),relation_dom(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t167_relat_1) ).
fof(f19551,plain,
( spl79_431
| ~ spl79_32
| ~ spl79_1
| ~ spl79_19
| ~ spl79_20
| ~ spl79_25
| ~ spl79_50
| spl79_62 ),
inference(avatar_split_clause,[],[f19489,f2275,f1857,f979,f951,f947,f871,f1020,f19549]) ).
fof(f19549,plain,
( spl79_431
<=> ! [X0] : ~ empty(cartesian_product2(sF74,set_union2(X0,sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_431])]) ).
fof(f1020,plain,
( spl79_32
<=> empty(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_32])]) ).
fof(f951,plain,
( spl79_20
<=> empty_set = relation_rng(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_20])]) ).
fof(f979,plain,
( spl79_25
<=> relation_dom(sK5) = sF74 ),
introduced(avatar_definition,[new_symbols(naming,[spl79_25])]) ).
fof(f1857,plain,
( spl79_50
<=> subset(sK5,cartesian_product2(sF74,relation_rng(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_50])]) ).
fof(f2275,plain,
( spl79_62
<=> subset(sF74,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_62])]) ).
fof(f19489,plain,
( ! [X0] :
( ~ empty(sK5)
| ~ empty(cartesian_product2(sF74,set_union2(X0,sK5))) )
| ~ spl79_1
| ~ spl79_19
| ~ spl79_20
| ~ spl79_25
| ~ spl79_50
| spl79_62 ),
inference(superposition,[],[f19466,f1062]) ).
fof(f1062,plain,
( ! [X0] :
( relation_rng(X0) = X0
| ~ empty(X0) )
| ~ spl79_20 ),
inference(superposition,[],[f952,f828]) ).
fof(f952,plain,
( empty_set = relation_rng(empty_set)
| ~ spl79_20 ),
inference(avatar_component_clause,[],[f951]) ).
fof(f19466,plain,
( ! [X2] : ~ empty(cartesian_product2(sF74,set_union2(X2,relation_rng(sK5))))
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25
| ~ spl79_50
| spl79_62 ),
inference(resolution,[],[f19442,f1235]) ).
fof(f19442,plain,
( ! [X6] :
( ~ subset(relation_rng(sK5),X6)
| ~ empty(cartesian_product2(sF74,X6)) )
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25
| ~ spl79_50
| spl79_62 ),
inference(resolution,[],[f19326,f563]) ).
fof(f563,plain,
! [X2,X0,X1] :
( subset(cartesian_product2(X1,X2),cartesian_product2(X1,X0))
| ~ subset(X2,X0) ),
inference(cnf_transformation,[],[f463]) ).
fof(f463,plain,
! [X1,X2,X0] :
( ~ subset(X2,X0)
| ( subset(cartesian_product2(X1,X2),cartesian_product2(X1,X0))
& subset(cartesian_product2(X2,X1),cartesian_product2(X0,X1)) ) ),
inference(ennf_transformation,[],[f267]) ).
fof(f267,plain,
! [X2,X1,X0] :
( subset(X2,X0)
=> ( subset(cartesian_product2(X1,X2),cartesian_product2(X1,X0))
& subset(cartesian_product2(X2,X1),cartesian_product2(X0,X1)) ) ),
inference(rectify,[],[f127]) ).
fof(f127,axiom,
! [X1,X2,X0] :
( subset(X0,X1)
=> ( subset(cartesian_product2(X2,X0),cartesian_product2(X2,X1))
& subset(cartesian_product2(X0,X2),cartesian_product2(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t118_zfmisc_1) ).
fof(f19326,plain,
( ! [X0] :
( ~ subset(cartesian_product2(sF74,relation_rng(sK5)),X0)
| ~ empty(X0) )
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25
| ~ spl79_50
| spl79_62 ),
inference(superposition,[],[f18925,f497]) ).
fof(f18925,plain,
( ! [X1] : ~ empty(set_union2(cartesian_product2(sF74,relation_rng(sK5)),X1))
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25
| ~ spl79_50
| spl79_62 ),
inference(resolution,[],[f18863,f2848]) ).
fof(f2848,plain,
( ! [X1] : subset(sK5,set_union2(cartesian_product2(sF74,relation_rng(sK5)),X1))
| ~ spl79_50 ),
inference(resolution,[],[f2242,f617]) ).
fof(f2242,plain,
( ! [X49] :
( ~ subset(cartesian_product2(sF74,relation_rng(sK5)),X49)
| subset(sK5,X49) )
| ~ spl79_50 ),
inference(resolution,[],[f747,f1858]) ).
fof(f1858,plain,
( subset(sK5,cartesian_product2(sF74,relation_rng(sK5)))
| ~ spl79_50 ),
inference(avatar_component_clause,[],[f1857]) ).
fof(f18863,plain,
( ! [X0] :
( ~ subset(sK5,X0)
| ~ empty(X0) )
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25
| spl79_62 ),
inference(subsumption_resolution,[],[f18862,f2479]) ).
fof(f2479,plain,
( ! [X0] :
( ~ subset(sF74,X0)
| ~ empty(X0) )
| spl79_62 ),
inference(superposition,[],[f2276,f828]) ).
fof(f2276,plain,
( ~ subset(sF74,empty_set)
| spl79_62 ),
inference(avatar_component_clause,[],[f2275]) ).
fof(f18862,plain,
( ! [X0] :
( ~ subset(sK5,X0)
| subset(sF74,X0)
| ~ empty(X0) )
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25 ),
inference(subsumption_resolution,[],[f18844,f709]) ).
fof(f18844,plain,
( ! [X0] :
( ~ empty(X0)
| ~ relation(X0)
| subset(sF74,X0)
| ~ subset(sK5,X0) )
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25 ),
inference(superposition,[],[f7384,f1061]) ).
fof(f7384,plain,
( ! [X11] :
( subset(sF74,relation_dom(X11))
| ~ subset(sK5,X11)
| ~ relation(X11) )
| ~ spl79_1
| ~ spl79_25 ),
inference(subsumption_resolution,[],[f7369,f872]) ).
fof(f7369,plain,
( ! [X11] :
( ~ relation(sK5)
| ~ relation(X11)
| ~ subset(sK5,X11)
| subset(sF74,relation_dom(X11)) )
| ~ spl79_25 ),
inference(superposition,[],[f556,f980]) ).
fof(f980,plain,
( relation_dom(sK5) = sF74
| ~ spl79_25 ),
inference(avatar_component_clause,[],[f979]) ).
fof(f19547,plain,
( ~ spl79_37
| spl79_430
| ~ spl79_3
| ~ spl79_27 ),
inference(avatar_split_clause,[],[f1777,f987,f879,f19545,f1067]) ).
fof(f1777,plain,
( ! [X36] :
( empty(relation_inverse_image(sK3,X36))
| ~ empty(sF78) )
| ~ spl79_3
| ~ spl79_27 ),
inference(resolution,[],[f1310,f1437]) ).
fof(f19527,plain,
( spl79_429
| ~ spl79_32
| ~ spl79_1
| ~ spl79_19
| ~ spl79_20
| ~ spl79_25
| ~ spl79_50
| spl79_62 ),
inference(avatar_split_clause,[],[f19482,f2275,f1857,f979,f951,f947,f871,f1020,f19525]) ).
fof(f19525,plain,
( spl79_429
<=> ! [X0] : ~ empty(cartesian_product2(sF74,set_union2(sK5,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_429])]) ).
fof(f19482,plain,
( ! [X0] :
( ~ empty(sK5)
| ~ empty(cartesian_product2(sF74,set_union2(sK5,X0))) )
| ~ spl79_1
| ~ spl79_19
| ~ spl79_20
| ~ spl79_25
| ~ spl79_50
| spl79_62 ),
inference(superposition,[],[f19465,f1062]) ).
fof(f19465,plain,
( ! [X1] : ~ empty(cartesian_product2(sF74,set_union2(relation_rng(sK5),X1)))
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25
| ~ spl79_50
| spl79_62 ),
inference(resolution,[],[f19442,f617]) ).
fof(f19481,plain,
( spl79_174
| ~ spl79_32
| ~ spl79_1
| ~ spl79_19
| ~ spl79_20
| ~ spl79_25
| ~ spl79_50
| spl79_62 ),
inference(avatar_split_clause,[],[f19476,f2275,f1857,f979,f951,f947,f871,f1020,f7347]) ).
fof(f7347,plain,
( spl79_174
<=> ! [X0] : ~ empty(cartesian_product2(sF74,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_174])]) ).
fof(f19476,plain,
( ! [X0] :
( ~ empty(sK5)
| ~ empty(cartesian_product2(sF74,X0)) )
| ~ spl79_1
| ~ spl79_19
| ~ spl79_20
| ~ spl79_25
| ~ spl79_50
| spl79_62 ),
inference(subsumption_resolution,[],[f19474,f1057]) ).
fof(f19474,plain,
( ! [X0] :
( ~ empty(sK5)
| ~ subset(sK5,X0)
| ~ empty(cartesian_product2(sF74,X0)) )
| ~ spl79_1
| ~ spl79_19
| ~ spl79_20
| ~ spl79_25
| ~ spl79_50
| spl79_62 ),
inference(superposition,[],[f19442,f1062]) ).
fof(f19480,plain,
( ~ spl79_428
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25
| ~ spl79_50
| spl79_62
| ~ spl79_97 ),
inference(avatar_split_clause,[],[f19473,f3199,f2275,f1857,f979,f947,f871,f19478]) ).
fof(f19478,plain,
( spl79_428
<=> empty(cartesian_product2(sF74,relation_field(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_428])]) ).
fof(f3199,plain,
( spl79_97
<=> subset(relation_rng(sK5),relation_field(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_97])]) ).
fof(f19473,plain,
( ~ empty(cartesian_product2(sF74,relation_field(sK5)))
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25
| ~ spl79_50
| spl79_62
| ~ spl79_97 ),
inference(resolution,[],[f19442,f3200]) ).
fof(f3200,plain,
( subset(relation_rng(sK5),relation_field(sK5))
| ~ spl79_97 ),
inference(avatar_component_clause,[],[f3199]) ).
fof(f19461,plain,
( spl79_427
| ~ spl79_32
| ~ spl79_1
| ~ spl79_19
| ~ spl79_20
| ~ spl79_25
| ~ spl79_50
| spl79_62 ),
inference(avatar_split_clause,[],[f19363,f2275,f1857,f979,f951,f947,f871,f1020,f19459]) ).
fof(f19459,plain,
( spl79_427
<=> ! [X0] : ~ empty(set_union2(X0,cartesian_product2(sF74,sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_427])]) ).
fof(f19363,plain,
( ! [X0] :
( ~ empty(sK5)
| ~ empty(set_union2(X0,cartesian_product2(sF74,sK5))) )
| ~ spl79_1
| ~ spl79_19
| ~ spl79_20
| ~ spl79_25
| ~ spl79_50
| spl79_62 ),
inference(superposition,[],[f18926,f1062]) ).
fof(f18926,plain,
( ! [X2] : ~ empty(set_union2(X2,cartesian_product2(sF74,relation_rng(sK5))))
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25
| ~ spl79_50
| spl79_62 ),
inference(resolution,[],[f18863,f2849]) ).
fof(f2849,plain,
( ! [X2] : subset(sK5,set_union2(X2,cartesian_product2(sF74,relation_rng(sK5))))
| ~ spl79_50 ),
inference(resolution,[],[f2242,f1235]) ).
fof(f19435,plain,
( ~ spl79_37
| spl79_426
| spl79_76 ),
inference(avatar_split_clause,[],[f19297,f2670,f19433,f1067]) ).
fof(f19433,plain,
( spl79_426
<=> ! [X0] : ~ subset(X0,sF78) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_426])]) ).
fof(f19297,plain,
( ! [X0] :
( ~ subset(X0,sF78)
| ~ empty(sF78) )
| spl79_76 ),
inference(superposition,[],[f19276,f497]) ).
fof(f19276,plain,
( ! [X4] : ~ empty(set_union2(X4,sF78))
| spl79_76 ),
inference(resolution,[],[f19027,f1235]) ).
fof(f19419,plain,
( ~ spl79_32
| spl79_425
| ~ spl79_1
| ~ spl79_19
| ~ spl79_20
| ~ spl79_25
| ~ spl79_50
| spl79_62 ),
inference(avatar_split_clause,[],[f19324,f2275,f1857,f979,f951,f947,f871,f19417,f1020]) ).
fof(f19417,plain,
( spl79_425
<=> ! [X0] : ~ empty(set_union2(cartesian_product2(sF74,sK5),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_425])]) ).
fof(f19324,plain,
( ! [X0] :
( ~ empty(set_union2(cartesian_product2(sF74,sK5),X0))
| ~ empty(sK5) )
| ~ spl79_1
| ~ spl79_19
| ~ spl79_20
| ~ spl79_25
| ~ spl79_50
| spl79_62 ),
inference(superposition,[],[f18925,f1062]) ).
fof(f19415,plain,
( ~ spl79_30
| spl79_423
| ~ spl79_3
| ~ spl79_27
| spl79_76 ),
inference(avatar_split_clause,[],[f19396,f2670,f987,f879,f19268,f1013]) ).
fof(f1013,plain,
( spl79_30
<=> empty(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_30])]) ).
fof(f19268,plain,
( spl79_423
<=> ! [X0] :
( ~ relation(X0)
| ~ empty(relation_dom(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_423])]) ).
fof(f19396,plain,
( ! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| ~ empty(sK3) )
| ~ spl79_3
| ~ spl79_27
| spl79_76 ),
inference(resolution,[],[f19279,f1057]) ).
fof(f19279,plain,
( ! [X7] :
( ~ subset(sK3,X7)
| ~ relation(X7)
| ~ empty(relation_dom(X7)) )
| ~ spl79_3
| ~ spl79_27
| spl79_76 ),
inference(resolution,[],[f19027,f7385]) ).
fof(f7385,plain,
( ! [X10] :
( subset(sF78,relation_dom(X10))
| ~ relation(X10)
| ~ subset(sK3,X10) )
| ~ spl79_3
| ~ spl79_27 ),
inference(subsumption_resolution,[],[f7368,f880]) ).
fof(f7368,plain,
( ! [X10] :
( subset(sF78,relation_dom(X10))
| ~ relation(X10)
| ~ subset(sK3,X10)
| ~ relation(sK3) )
| ~ spl79_27 ),
inference(superposition,[],[f556,f988]) ).
fof(f19414,plain,
( ~ spl79_37
| ~ spl79_3
| ~ spl79_27
| spl79_76 ),
inference(avatar_split_clause,[],[f19411,f2670,f987,f879,f1067]) ).
fof(f19411,plain,
( ~ empty(sF78)
| ~ spl79_3
| ~ spl79_27
| spl79_76 ),
inference(forward_demodulation,[],[f19410,f988]) ).
fof(f19410,plain,
( ~ empty(relation_dom(sK3))
| ~ spl79_3
| ~ spl79_27
| spl79_76 ),
inference(subsumption_resolution,[],[f19395,f880]) ).
fof(f19395,plain,
( ~ relation(sK3)
| ~ empty(relation_dom(sK3))
| ~ spl79_3
| ~ spl79_27
| spl79_76 ),
inference(resolution,[],[f19279,f757]) ).
fof(f757,plain,
! [X1] : subset(X1,X1),
inference(cnf_transformation,[],[f305]) ).
fof(f305,plain,
! [X1] : subset(X1,X1),
inference(rectify,[],[f119]) ).
fof(f119,axiom,
! [X1,X0] : subset(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f19391,plain,
( ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_4
| ~ spl79_6
| ~ spl79_7
| ~ spl79_25
| ~ spl79_27
| ~ spl79_38
| ~ spl79_39
| ~ spl79_385 ),
inference(avatar_contradiction_clause,[],[f19390]) ).
fof(f19390,plain,
( $false
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_4
| ~ spl79_6
| ~ spl79_7
| ~ spl79_25
| ~ spl79_27
| ~ spl79_38
| ~ spl79_39
| ~ spl79_385 ),
inference(subsumption_resolution,[],[f19389,f891]) ).
fof(f891,plain,
( in(sK4,sF74)
| ~ spl79_6 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f890,plain,
( spl79_6
<=> in(sK4,sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_6])]) ).
fof(f19389,plain,
( ~ in(sK4,sF74)
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_4
| ~ spl79_7
| ~ spl79_25
| ~ spl79_27
| ~ spl79_38
| ~ spl79_39
| ~ spl79_385 ),
inference(forward_demodulation,[],[f19388,f980]) ).
fof(f19388,plain,
( ~ in(sK4,relation_dom(sK5))
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_4
| ~ spl79_7
| ~ spl79_27
| ~ spl79_38
| ~ spl79_39
| ~ spl79_385 ),
inference(subsumption_resolution,[],[f19387,f2403]) ).
fof(f19387,plain,
( ~ in(sF77,sF78)
| ~ in(sK4,relation_dom(sK5))
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_4
| ~ spl79_27
| ~ spl79_38
| ~ spl79_39
| ~ spl79_385 ),
inference(forward_demodulation,[],[f19386,f1078]) ).
fof(f19386,plain,
( ~ in(apply(sK5,sK4),sF78)
| ~ in(sK4,relation_dom(sK5))
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_4
| ~ spl79_27
| ~ spl79_38
| ~ spl79_385 ),
inference(subsumption_resolution,[],[f19385,f872]) ).
fof(f19385,plain,
( ~ relation(sK5)
| ~ in(sK4,relation_dom(sK5))
| ~ in(apply(sK5,sK4),sF78)
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_4
| ~ spl79_27
| ~ spl79_38
| ~ spl79_385 ),
inference(subsumption_resolution,[],[f19372,f876]) ).
fof(f19372,plain,
( ~ function(sK5)
| ~ in(apply(sK5,sK4),sF78)
| ~ in(sK4,relation_dom(sK5))
| ~ relation(sK5)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_4
| ~ spl79_27
| ~ spl79_38
| ~ spl79_385 ),
inference(resolution,[],[f19253,f13778]) ).
fof(f19253,plain,
( ! [X0] :
( ~ in(ordered_pair(sK4,X0),sK5)
| ~ in(X0,sF78) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_4
| ~ spl79_27
| ~ spl79_38
| ~ spl79_385 ),
inference(resolution,[],[f17585,f17126]) ).
fof(f17585,plain,
( ! [X0] : ~ in(ordered_pair(sK4,X0),sF75)
| ~ spl79_385 ),
inference(avatar_component_clause,[],[f17584]) ).
fof(f17584,plain,
( spl79_385
<=> ! [X0] : ~ in(ordered_pair(sK4,X0),sF75) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_385])]) ).
fof(f19381,plain,
( ~ spl79_1
| ~ spl79_3
| ~ spl79_4
| ~ spl79_7
| ~ spl79_27
| ~ spl79_38
| ~ spl79_316
| ~ spl79_385 ),
inference(avatar_contradiction_clause,[],[f19380]) ).
fof(f19380,plain,
( $false
| ~ spl79_1
| ~ spl79_3
| ~ spl79_4
| ~ spl79_7
| ~ spl79_27
| ~ spl79_38
| ~ spl79_316
| ~ spl79_385 ),
inference(subsumption_resolution,[],[f19370,f2403]) ).
fof(f19370,plain,
( ~ in(sF77,sF78)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_4
| ~ spl79_27
| ~ spl79_38
| ~ spl79_316
| ~ spl79_385 ),
inference(resolution,[],[f19253,f13852]) ).
fof(f19323,plain,
( ~ spl79_33
| spl79_423
| ~ spl79_26
| spl79_35
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f19192,f1594,f1046,f983,f19268,f1031]) ).
fof(f1046,plain,
( spl79_35
<=> empty(sF76) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_35])]) ).
fof(f19192,plain,
( ! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| ~ empty(sF75) )
| ~ spl79_26
| spl79_35
| ~ spl79_48 ),
inference(resolution,[],[f19119,f1057]) ).
fof(f19119,plain,
( ! [X6] :
( ~ subset(sF75,X6)
| ~ empty(relation_dom(X6))
| ~ relation(X6) )
| ~ spl79_26
| spl79_35
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f19106,f1047]) ).
fof(f1047,plain,
( ~ empty(sF76)
| spl79_35 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f19106,plain,
( ! [X6] :
( ~ relation(X6)
| empty(sF76)
| ~ empty(relation_dom(X6))
| ~ subset(sF75,X6) )
| ~ spl79_26
| ~ spl79_48 ),
inference(resolution,[],[f12109,f1310]) ).
fof(f19322,plain,
( ~ spl79_33
| spl79_424
| ~ spl79_19
| ~ spl79_26
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f19147,f1594,f983,f947,f19320,f1031]) ).
fof(f19320,plain,
( spl79_424
<=> ! [X0] :
( subset(sF76,X0)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_424])]) ).
fof(f19147,plain,
( ! [X0] :
( subset(sF76,X0)
| ~ empty(X0)
| ~ empty(sF75) )
| ~ spl79_19
| ~ spl79_26
| ~ spl79_48 ),
inference(resolution,[],[f19117,f1057]) ).
fof(f19318,plain,
( ~ spl79_30
| spl79_410
| ~ spl79_3
| ~ spl79_19
| ~ spl79_27
| spl79_76 ),
inference(avatar_split_clause,[],[f19295,f2670,f987,f947,f879,f18968,f1013]) ).
fof(f19295,plain,
( ! [X0] :
( ~ empty(X0)
| ~ empty(sK3) )
| ~ spl79_3
| ~ spl79_19
| ~ spl79_27
| spl79_76 ),
inference(subsumption_resolution,[],[f19133,f19027]) ).
fof(f19133,plain,
( ! [X0] :
( ~ empty(sK3)
| ~ empty(X0)
| subset(sF78,X0) )
| ~ spl79_3
| ~ spl79_19
| ~ spl79_27 ),
inference(resolution,[],[f18880,f1057]) ).
fof(f18880,plain,
( ! [X0] :
( ~ subset(sK3,X0)
| ~ empty(X0)
| subset(sF78,X0) )
| ~ spl79_3
| ~ spl79_19
| ~ spl79_27 ),
inference(subsumption_resolution,[],[f18871,f709]) ).
fof(f18871,plain,
( ! [X0] :
( subset(sF78,X0)
| ~ relation(X0)
| ~ subset(sK3,X0)
| ~ empty(X0) )
| ~ spl79_3
| ~ spl79_19
| ~ spl79_27 ),
inference(superposition,[],[f7385,f1061]) ).
fof(f19317,plain,
( ~ spl79_37
| spl79_76 ),
inference(avatar_split_clause,[],[f19300,f2670,f1067]) ).
fof(f19300,plain,
( ~ empty(sF78)
| spl79_76 ),
inference(superposition,[],[f19276,f1230]) ).
fof(f1230,plain,
! [X1] : set_union2(empty_set,X1) = X1,
inference(superposition,[],[f541,f612]) ).
fof(f612,plain,
! [X0] : set_union2(X0,empty_set) = X0,
inference(cnf_transformation,[],[f144]) ).
fof(f144,axiom,
! [X0] : set_union2(X0,empty_set) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_boole) ).
fof(f19302,plain,
( ~ spl79_37
| spl79_76 ),
inference(avatar_split_clause,[],[f19296,f2670,f1067]) ).
fof(f19296,plain,
( ~ empty(sF78)
| spl79_76 ),
inference(superposition,[],[f19276,f513]) ).
fof(f513,plain,
! [X0] : set_union2(X0,X0) = X0,
inference(cnf_transformation,[],[f270]) ).
fof(f270,plain,
! [X0] : set_union2(X0,X0) = X0,
inference(rectify,[],[f90]) ).
fof(f90,axiom,
! [X0,X1] : set_union2(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k2_xboole_0) ).
fof(f19294,plain,
( ~ spl79_37
| spl79_76 ),
inference(avatar_split_clause,[],[f19291,f2670,f1067]) ).
fof(f19291,plain,
( ~ empty(sF78)
| spl79_76 ),
inference(superposition,[],[f19275,f612]) ).
fof(f19275,plain,
( ! [X3] : ~ empty(set_union2(sF78,X3))
| spl79_76 ),
inference(resolution,[],[f19027,f617]) ).
fof(f19293,plain,
( ~ spl79_37
| spl79_76 ),
inference(avatar_split_clause,[],[f19287,f2670,f1067]) ).
fof(f19287,plain,
( ~ empty(sF78)
| spl79_76 ),
inference(superposition,[],[f19275,f513]) ).
fof(f19285,plain,
( spl79_410
| ~ spl79_37
| spl79_76 ),
inference(avatar_split_clause,[],[f19272,f2670,f1067,f18968]) ).
fof(f19272,plain,
( ! [X0] :
( ~ empty(sF78)
| ~ empty(X0) )
| spl79_76 ),
inference(resolution,[],[f19027,f1057]) ).
fof(f19284,plain,
( ~ spl79_37
| spl79_76 ),
inference(avatar_split_clause,[],[f19271,f2670,f1067]) ).
fof(f19271,plain,
( ~ empty(sF78)
| spl79_76 ),
inference(resolution,[],[f19027,f757]) ).
fof(f19270,plain,
( ~ spl79_32
| spl79_423
| ~ spl79_1
| ~ spl79_25
| spl79_40 ),
inference(avatar_split_clause,[],[f19057,f1081,f979,f871,f19268,f1020]) ).
fof(f1081,plain,
( spl79_40
<=> empty(sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_40])]) ).
fof(f19057,plain,
( ! [X0] :
( ~ relation(X0)
| ~ empty(relation_dom(X0))
| ~ empty(sK5) )
| ~ spl79_1
| ~ spl79_25
| spl79_40 ),
inference(resolution,[],[f18858,f1057]) ).
fof(f18858,plain,
( ! [X9] :
( ~ subset(sK5,X9)
| ~ empty(relation_dom(X9))
| ~ relation(X9) )
| ~ spl79_1
| ~ spl79_25
| spl79_40 ),
inference(subsumption_resolution,[],[f18842,f1264]) ).
fof(f1264,plain,
( ~ empty(sF74)
| spl79_40 ),
inference(avatar_component_clause,[],[f1081]) ).
fof(f18842,plain,
( ! [X9] :
( empty(sF74)
| ~ subset(sK5,X9)
| ~ relation(X9)
| ~ empty(relation_dom(X9)) )
| ~ spl79_1
| ~ spl79_25 ),
inference(resolution,[],[f7384,f1310]) ).
fof(f19252,plain,
( ~ spl79_32
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25
| ~ spl79_28
| spl79_62 ),
inference(avatar_split_clause,[],[f19206,f2275,f991,f979,f947,f871,f1020]) ).
fof(f991,plain,
( spl79_28
<=> powerset(empty_set) = singleton(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_28])]) ).
fof(f19206,plain,
( ~ empty(sK5)
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25
| ~ spl79_28
| spl79_62 ),
inference(resolution,[],[f19095,f1175]) ).
fof(f1175,plain,
! [X0] : in(X0,singleton(X0)),
inference(resolution,[],[f646,f757]) ).
fof(f646,plain,
! [X0,X1] :
( ~ subset(singleton(X1),X0)
| in(X1,X0) ),
inference(cnf_transformation,[],[f302]) ).
fof(f302,plain,
! [X1,X0] :
( subset(singleton(X1),X0)
<=> in(X1,X0) ),
inference(rectify,[],[f165]) ).
fof(f165,axiom,
! [X1,X0] :
( in(X0,X1)
<=> subset(singleton(X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_zfmisc_1) ).
fof(f19095,plain,
( ! [X0] :
( ~ in(sK5,singleton(X0))
| ~ empty(X0) )
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25
| ~ spl79_28
| spl79_62 ),
inference(duplicate_literal_removal,[],[f19094]) ).
fof(f19094,plain,
( ! [X0] :
( ~ empty(X0)
| ~ empty(X0)
| ~ in(sK5,singleton(X0)) )
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25
| ~ spl79_28
| spl79_62 ),
inference(superposition,[],[f19042,f1064]) ).
fof(f1064,plain,
( ! [X0] :
( singleton(X0) = powerset(X0)
| ~ empty(X0) )
| ~ spl79_28 ),
inference(superposition,[],[f992,f828]) ).
fof(f992,plain,
( powerset(empty_set) = singleton(empty_set)
| ~ spl79_28 ),
inference(avatar_component_clause,[],[f991]) ).
fof(f19042,plain,
( ! [X0] :
( ~ in(sK5,powerset(X0))
| ~ empty(X0) )
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25
| spl79_62 ),
inference(superposition,[],[f18932,f704]) ).
fof(f18932,plain,
( ! [X7] :
( ~ empty(union(X7))
| ~ in(sK5,X7) )
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25
| spl79_62 ),
inference(resolution,[],[f18863,f718]) ).
fof(f19218,plain,
( ~ spl79_422
| ~ spl79_421 ),
inference(avatar_split_clause,[],[f19213,f19187,f19216]) ).
fof(f19216,plain,
( spl79_422
<=> proper_subset(sF75,sF76) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_422])]) ).
fof(f19187,plain,
( spl79_421
<=> subset(sF76,sF75) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_421])]) ).
fof(f19213,plain,
( ~ proper_subset(sF75,sF76)
| ~ spl79_421 ),
inference(resolution,[],[f19188,f742]) ).
fof(f742,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ proper_subset(X0,X1) ),
inference(cnf_transformation,[],[f321]) ).
fof(f321,plain,
! [X0,X1] :
( ~ proper_subset(X0,X1)
| ~ subset(X1,X0) ),
inference(ennf_transformation,[],[f296]) ).
fof(f296,plain,
! [X1,X0] :
~ ( proper_subset(X0,X1)
& subset(X1,X0) ),
inference(rectify,[],[f193]) ).
fof(f193,axiom,
! [X1,X0] :
~ ( proper_subset(X1,X0)
& subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_xboole_1) ).
fof(f19188,plain,
( subset(sF76,sF75)
| ~ spl79_421 ),
inference(avatar_component_clause,[],[f19187]) ).
fof(f19190,plain,
( spl79_414
| ~ spl79_415
| ~ spl79_3
| ~ spl79_26
| ~ spl79_27
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f19181,f1594,f987,f983,f879,f19039,f19036]) ).
fof(f19036,plain,
( spl79_414
<=> subset(sF76,sF78) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_414])]) ).
fof(f19039,plain,
( spl79_415
<=> subset(sF75,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_415])]) ).
fof(f19181,plain,
( ~ subset(sF75,sK3)
| subset(sF76,sF78)
| ~ spl79_3
| ~ spl79_26
| ~ spl79_27
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f19114,f880]) ).
fof(f19114,plain,
( ~ relation(sK3)
| ~ subset(sF75,sK3)
| subset(sF76,sF78)
| ~ spl79_26
| ~ spl79_27
| ~ spl79_48 ),
inference(superposition,[],[f12109,f988]) ).
fof(f19189,plain,
( ~ spl79_33
| spl79_421
| ~ spl79_19
| ~ spl79_26
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f19146,f1594,f983,f947,f19187,f1031]) ).
fof(f19146,plain,
( subset(sF76,sF75)
| ~ empty(sF75)
| ~ spl79_19
| ~ spl79_26
| ~ spl79_48 ),
inference(resolution,[],[f19117,f757]) ).
fof(f19185,plain,
( spl79_420
| ~ spl79_30
| ~ spl79_3
| ~ spl79_19
| ~ spl79_27 ),
inference(avatar_split_clause,[],[f19132,f987,f947,f879,f1013,f19183]) ).
fof(f19183,plain,
( spl79_420
<=> subset(sF78,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_420])]) ).
fof(f19132,plain,
( ~ empty(sK3)
| subset(sF78,sK3)
| ~ spl79_3
| ~ spl79_19
| ~ spl79_27 ),
inference(resolution,[],[f18880,f757]) ).
fof(f19179,plain,
( spl79_70
| ~ spl79_418 ),
inference(avatar_contradiction_clause,[],[f19178]) ).
fof(f19178,plain,
( $false
| spl79_70
| ~ spl79_418 ),
inference(subsumption_resolution,[],[f19177,f616]) ).
fof(f19177,plain,
( ~ subset(empty_set,sF76)
| spl79_70
| ~ spl79_418 ),
inference(subsumption_resolution,[],[f19161,f2565]) ).
fof(f2565,plain,
( empty_set != sF76
| spl79_70 ),
inference(avatar_component_clause,[],[f2564]) ).
fof(f2564,plain,
( spl79_70
<=> empty_set = sF76 ),
introduced(avatar_definition,[new_symbols(naming,[spl79_70])]) ).
fof(f19161,plain,
( empty_set = sF76
| ~ subset(empty_set,sF76)
| ~ spl79_418 ),
inference(resolution,[],[f19127,f860]) ).
fof(f860,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f19127,plain,
( subset(sF76,empty_set)
| ~ spl79_418 ),
inference(avatar_component_clause,[],[f19126]) ).
fof(f19126,plain,
( spl79_418
<=> subset(sF76,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_418])]) ).
fof(f19176,plain,
( spl79_70
| ~ spl79_418 ),
inference(avatar_contradiction_clause,[],[f19175]) ).
fof(f19175,plain,
( $false
| spl79_70
| ~ spl79_418 ),
inference(subsumption_resolution,[],[f19174,f1096]) ).
fof(f1096,plain,
! [X3] : ~ proper_subset(X3,empty_set),
inference(resolution,[],[f742,f616]) ).
fof(f19174,plain,
( proper_subset(sF76,empty_set)
| spl79_70
| ~ spl79_418 ),
inference(subsumption_resolution,[],[f19162,f2565]) ).
fof(f19162,plain,
( empty_set = sF76
| proper_subset(sF76,empty_set)
| ~ spl79_418 ),
inference(resolution,[],[f19127,f769]) ).
fof(f769,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| proper_subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f333]) ).
fof(f333,plain,
! [X1,X0] :
( X0 = X1
| proper_subset(X0,X1)
| ~ subset(X0,X1) ),
inference(flattening,[],[f332]) ).
fof(f332,plain,
! [X1,X0] :
( proper_subset(X0,X1)
| X0 = X1
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f309]) ).
fof(f309,plain,
! [X1,X0] :
( ( X0 != X1
& subset(X0,X1) )
=> proper_subset(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f40]) ).
fof(f40,axiom,
! [X1,X0] :
( proper_subset(X0,X1)
<=> ( X0 != X1
& subset(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_xboole_0) ).
fof(f19173,plain,
( ~ spl79_9
| spl79_35
| ~ spl79_418 ),
inference(avatar_contradiction_clause,[],[f19172]) ).
fof(f19172,plain,
( $false
| ~ spl79_9
| spl79_35
| ~ spl79_418 ),
inference(subsumption_resolution,[],[f19171,f1047]) ).
fof(f19171,plain,
( empty(sF76)
| ~ spl79_9
| ~ spl79_418 ),
inference(subsumption_resolution,[],[f19165,f905]) ).
fof(f19165,plain,
( ~ empty(empty_set)
| empty(sF76)
| ~ spl79_418 ),
inference(resolution,[],[f19127,f1310]) ).
fof(f19169,plain,
( spl79_70
| ~ spl79_418 ),
inference(avatar_contradiction_clause,[],[f19168]) ).
fof(f19168,plain,
( $false
| spl79_70
| ~ spl79_418 ),
inference(subsumption_resolution,[],[f19160,f2565]) ).
fof(f19160,plain,
( empty_set = sF76
| ~ spl79_418 ),
inference(resolution,[],[f19127,f644]) ).
fof(f644,plain,
! [X0] :
( ~ subset(X0,empty_set)
| empty_set = X0 ),
inference(cnf_transformation,[],[f451]) ).
fof(f451,plain,
! [X0] :
( empty_set = X0
| ~ subset(X0,empty_set) ),
inference(ennf_transformation,[],[f172]) ).
fof(f172,axiom,
! [X0] :
( subset(X0,empty_set)
=> empty_set = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_xboole_1) ).
fof(f19131,plain,
( spl79_418
| ~ spl79_419
| ~ spl79_10
| ~ spl79_19
| ~ spl79_26
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f19118,f1594,f983,f947,f908,f19129,f19126]) ).
fof(f19129,plain,
( spl79_419
<=> subset(sF75,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_419])]) ).
fof(f908,plain,
( spl79_10
<=> relation(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_10])]) ).
fof(f19118,plain,
( ~ subset(sF75,empty_set)
| subset(sF76,empty_set)
| ~ spl79_10
| ~ spl79_19
| ~ spl79_26
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f19111,f909]) ).
fof(f909,plain,
( relation(empty_set)
| ~ spl79_10 ),
inference(avatar_component_clause,[],[f908]) ).
fof(f19111,plain,
( ~ relation(empty_set)
| ~ subset(sF75,empty_set)
| subset(sF76,empty_set)
| ~ spl79_19
| ~ spl79_26
| ~ spl79_48 ),
inference(superposition,[],[f12109,f948]) ).
fof(f19101,plain,
( ~ spl79_30
| spl79_194 ),
inference(avatar_split_clause,[],[f19097,f8421,f1013]) ).
fof(f8421,plain,
( spl79_194
<=> subset(sK3,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_194])]) ).
fof(f19097,plain,
( ~ empty(sK3)
| spl79_194 ),
inference(resolution,[],[f8422,f1057]) ).
fof(f8422,plain,
( ~ subset(sK3,empty_set)
| spl79_194 ),
inference(avatar_component_clause,[],[f8421]) ).
fof(f19100,plain,
( spl79_410
| ~ spl79_32
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25
| spl79_62 ),
inference(avatar_split_clause,[],[f19092,f2275,f979,f947,f871,f1020,f18968]) ).
fof(f19092,plain,
( ! [X1] :
( ~ empty(sK5)
| ~ empty(X1) )
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25
| spl79_62 ),
inference(resolution,[],[f19042,f2190]) ).
fof(f19099,plain,
( ~ spl79_32
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25
| spl79_62 ),
inference(avatar_split_clause,[],[f19090,f2275,f979,f947,f871,f1020]) ).
fof(f19090,plain,
( ~ empty(sK5)
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25
| spl79_62 ),
inference(resolution,[],[f19042,f1550]) ).
fof(f19077,plain,
( ~ spl79_417
| ~ spl79_414 ),
inference(avatar_split_clause,[],[f19054,f19036,f19075]) ).
fof(f19075,plain,
( spl79_417
<=> proper_subset(sF78,sF76) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_417])]) ).
fof(f19054,plain,
( ~ proper_subset(sF78,sF76)
| ~ spl79_414 ),
inference(resolution,[],[f19037,f742]) ).
fof(f19037,plain,
( subset(sF76,sF78)
| ~ spl79_414 ),
inference(avatar_component_clause,[],[f19036]) ).
fof(f19073,plain,
( ~ spl79_37
| spl79_35
| ~ spl79_414 ),
inference(avatar_split_clause,[],[f19055,f19036,f1046,f1067]) ).
fof(f19055,plain,
( ~ empty(sF78)
| spl79_35
| ~ spl79_414 ),
inference(subsumption_resolution,[],[f19053,f1047]) ).
fof(f19053,plain,
( empty(sF76)
| ~ empty(sF78)
| ~ spl79_414 ),
inference(resolution,[],[f19037,f1310]) ).
fof(f19048,plain,
( ~ spl79_416
| ~ spl79_1
| ~ spl79_9
| ~ spl79_19
| ~ spl79_25
| ~ spl79_41
| spl79_62 ),
inference(avatar_split_clause,[],[f19044,f2275,f1086,f979,f947,f904,f871,f19046]) ).
fof(f19046,plain,
( spl79_416
<=> in(sK5,singleton(empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_416])]) ).
fof(f1086,plain,
( spl79_41
<=> empty_set = union(singleton(empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_41])]) ).
fof(f19044,plain,
( ~ in(sK5,singleton(empty_set))
| ~ spl79_1
| ~ spl79_9
| ~ spl79_19
| ~ spl79_25
| ~ spl79_41
| spl79_62 ),
inference(subsumption_resolution,[],[f19043,f905]) ).
fof(f19043,plain,
( ~ in(sK5,singleton(empty_set))
| ~ empty(empty_set)
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25
| ~ spl79_41
| spl79_62 ),
inference(superposition,[],[f18932,f1087]) ).
fof(f1087,plain,
( empty_set = union(singleton(empty_set))
| ~ spl79_41 ),
inference(avatar_component_clause,[],[f1086]) ).
fof(f19041,plain,
( spl79_414
| ~ spl79_415
| ~ spl79_3
| ~ spl79_26
| ~ spl79_27
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f18918,f1594,f987,f983,f879,f19039,f19036]) ).
fof(f18918,plain,
( ~ subset(sF75,sK3)
| subset(sF76,sF78)
| ~ spl79_3
| ~ spl79_26
| ~ spl79_27
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f18912,f1595]) ).
fof(f18912,plain,
( ~ relation(sF75)
| subset(sF76,sF78)
| ~ subset(sF75,sK3)
| ~ spl79_3
| ~ spl79_26
| ~ spl79_27 ),
inference(superposition,[],[f7391,f984]) ).
fof(f7391,plain,
( ! [X10] :
( subset(relation_dom(X10),sF78)
| ~ subset(X10,sK3)
| ~ relation(X10) )
| ~ spl79_3
| ~ spl79_27 ),
inference(subsumption_resolution,[],[f7376,f880]) ).
fof(f7376,plain,
( ! [X10] :
( ~ relation(X10)
| ~ relation(sK3)
| ~ subset(X10,sK3)
| subset(relation_dom(X10),sF78) )
| ~ spl79_27 ),
inference(superposition,[],[f556,f988]) ).
fof(f19028,plain,
( ~ spl79_37
| spl79_76 ),
inference(avatar_split_clause,[],[f19026,f2670,f1067]) ).
fof(f19026,plain,
( ~ empty(sF78)
| spl79_76 ),
inference(resolution,[],[f2671,f1057]) ).
fof(f19025,plain,
( ~ spl79_30
| spl79_411 ),
inference(avatar_split_clause,[],[f19024,f18992,f1013]) ).
fof(f18992,plain,
( spl79_411
<=> subset(sK3,sF75) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_411])]) ).
fof(f19024,plain,
( ~ empty(sK3)
| spl79_411 ),
inference(resolution,[],[f18993,f1057]) ).
fof(f18993,plain,
( ~ subset(sK3,sF75)
| spl79_411 ),
inference(avatar_component_clause,[],[f18992]) ).
fof(f19023,plain,
( spl79_413
| ~ spl79_32
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25
| spl79_62 ),
inference(avatar_split_clause,[],[f18983,f2275,f979,f947,f871,f1020,f19021]) ).
fof(f19021,plain,
( spl79_413
<=> ! [X0] : ~ subset(X0,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_413])]) ).
fof(f18983,plain,
( ! [X0] :
( ~ empty(sK5)
| ~ subset(X0,sK5) )
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25
| spl79_62 ),
inference(superposition,[],[f18928,f497]) ).
fof(f18928,plain,
( ! [X4] : ~ empty(set_union2(X4,sK5))
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25
| spl79_62 ),
inference(resolution,[],[f18863,f1235]) ).
fof(f19019,plain,
( ~ spl79_32
| spl79_409 ),
inference(avatar_split_clause,[],[f19018,f18954,f1020]) ).
fof(f18954,plain,
( spl79_409
<=> subset(sK5,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_409])]) ).
fof(f19018,plain,
( ~ empty(sK5)
| spl79_409 ),
inference(resolution,[],[f18955,f1057]) ).
fof(f18955,plain,
( ~ subset(sK5,sK3)
| spl79_409 ),
inference(avatar_component_clause,[],[f18954]) ).
fof(f19016,plain,
( spl79_71
| ~ spl79_76 ),
inference(avatar_contradiction_clause,[],[f19015]) ).
fof(f19015,plain,
( $false
| spl79_71
| ~ spl79_76 ),
inference(subsumption_resolution,[],[f18999,f2595]) ).
fof(f2595,plain,
( empty_set != sF78
| spl79_71 ),
inference(avatar_component_clause,[],[f2594]) ).
fof(f2594,plain,
( spl79_71
<=> empty_set = sF78 ),
introduced(avatar_definition,[new_symbols(naming,[spl79_71])]) ).
fof(f18999,plain,
( empty_set = sF78
| ~ spl79_76 ),
inference(resolution,[],[f18971,f644]) ).
fof(f18971,plain,
( subset(sF78,empty_set)
| ~ spl79_76 ),
inference(avatar_component_clause,[],[f2670]) ).
fof(f19014,plain,
( spl79_71
| ~ spl79_76 ),
inference(avatar_contradiction_clause,[],[f19013]) ).
fof(f19013,plain,
( $false
| spl79_71
| ~ spl79_76 ),
inference(subsumption_resolution,[],[f19012,f1096]) ).
fof(f19012,plain,
( proper_subset(sF78,empty_set)
| spl79_71
| ~ spl79_76 ),
inference(subsumption_resolution,[],[f19001,f2595]) ).
fof(f19001,plain,
( empty_set = sF78
| proper_subset(sF78,empty_set)
| ~ spl79_76 ),
inference(resolution,[],[f18971,f769]) ).
fof(f19011,plain,
( spl79_71
| ~ spl79_76 ),
inference(avatar_contradiction_clause,[],[f19010]) ).
fof(f19010,plain,
( $false
| spl79_71
| ~ spl79_76 ),
inference(subsumption_resolution,[],[f19009,f2595]) ).
fof(f19009,plain,
( empty_set = sF78
| ~ spl79_76 ),
inference(subsumption_resolution,[],[f19000,f616]) ).
fof(f19000,plain,
( ~ subset(empty_set,sF78)
| empty_set = sF78
| ~ spl79_76 ),
inference(resolution,[],[f18971,f860]) ).
fof(f18997,plain,
( ~ spl79_411
| spl79_412
| ~ spl79_3
| ~ spl79_26
| ~ spl79_27
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f18886,f1594,f987,f983,f879,f18995,f18992]) ).
fof(f18995,plain,
( spl79_412
<=> subset(sF78,sF76) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_412])]) ).
fof(f18886,plain,
( subset(sF78,sF76)
| ~ subset(sK3,sF75)
| ~ spl79_3
| ~ spl79_26
| ~ spl79_27
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f18879,f1595]) ).
fof(f18879,plain,
( ~ relation(sF75)
| ~ subset(sK3,sF75)
| subset(sF78,sF76)
| ~ spl79_3
| ~ spl79_26
| ~ spl79_27 ),
inference(superposition,[],[f7385,f984]) ).
fof(f18990,plain,
( ~ spl79_37
| spl79_62
| ~ spl79_408 ),
inference(avatar_split_clause,[],[f18959,f18951,f2275,f1067]) ).
fof(f18951,plain,
( spl79_408
<=> subset(sF74,sF78) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_408])]) ).
fof(f18959,plain,
( ~ empty(sF78)
| spl79_62
| ~ spl79_408 ),
inference(resolution,[],[f18952,f2479]) ).
fof(f18952,plain,
( subset(sF74,sF78)
| ~ spl79_408 ),
inference(avatar_component_clause,[],[f18951]) ).
fof(f18989,plain,
( ~ spl79_32
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25
| spl79_62 ),
inference(avatar_split_clause,[],[f18986,f2275,f979,f947,f871,f1020]) ).
fof(f18986,plain,
( ~ empty(sK5)
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25
| spl79_62 ),
inference(superposition,[],[f18928,f1230]) ).
fof(f18988,plain,
( ~ spl79_32
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25
| spl79_62 ),
inference(avatar_split_clause,[],[f18982,f2275,f979,f947,f871,f1020]) ).
fof(f18982,plain,
( ~ empty(sK5)
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25
| spl79_62 ),
inference(superposition,[],[f18928,f513]) ).
fof(f18981,plain,
( ~ spl79_32
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25
| spl79_62 ),
inference(avatar_split_clause,[],[f18977,f2275,f979,f947,f871,f1020]) ).
fof(f18977,plain,
( ~ empty(sK5)
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25
| spl79_62 ),
inference(superposition,[],[f18927,f612]) ).
fof(f18927,plain,
( ! [X3] : ~ empty(set_union2(sK5,X3))
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25
| spl79_62 ),
inference(resolution,[],[f18863,f617]) ).
fof(f18980,plain,
( ~ spl79_32
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25
| spl79_62 ),
inference(avatar_split_clause,[],[f18973,f2275,f979,f947,f871,f1020]) ).
fof(f18973,plain,
( ~ empty(sK5)
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25
| spl79_62 ),
inference(superposition,[],[f18927,f513]) ).
fof(f18979,plain,
( ~ spl79_37
| spl79_40
| ~ spl79_408 ),
inference(avatar_split_clause,[],[f18966,f18951,f1081,f1067]) ).
fof(f18966,plain,
( ~ empty(sF78)
| spl79_40
| ~ spl79_408 ),
inference(subsumption_resolution,[],[f18964,f1264]) ).
fof(f18964,plain,
( ~ empty(sF78)
| empty(sF74)
| ~ spl79_408 ),
inference(resolution,[],[f18952,f1310]) ).
fof(f18972,plain,
( ~ spl79_194
| spl79_76
| ~ spl79_3
| ~ spl79_10
| ~ spl79_19
| ~ spl79_27 ),
inference(avatar_split_clause,[],[f18884,f987,f947,f908,f879,f2670,f8421]) ).
fof(f18884,plain,
( subset(sF78,empty_set)
| ~ subset(sK3,empty_set)
| ~ spl79_3
| ~ spl79_10
| ~ spl79_19
| ~ spl79_27 ),
inference(subsumption_resolution,[],[f18874,f909]) ).
fof(f18874,plain,
( ~ relation(empty_set)
| subset(sF78,empty_set)
| ~ subset(sK3,empty_set)
| ~ spl79_3
| ~ spl79_19
| ~ spl79_27 ),
inference(superposition,[],[f7385,f948]) ).
fof(f18970,plain,
( ~ spl79_32
| spl79_410
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25
| spl79_62 ),
inference(avatar_split_clause,[],[f18924,f2275,f979,f947,f871,f18968,f1020]) ).
fof(f18924,plain,
( ! [X0] :
( ~ empty(X0)
| ~ empty(sK5) )
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25
| spl79_62 ),
inference(resolution,[],[f18863,f1057]) ).
fof(f18956,plain,
( spl79_408
| ~ spl79_409
| ~ spl79_1
| ~ spl79_3
| ~ spl79_25
| ~ spl79_27 ),
inference(avatar_split_clause,[],[f18855,f987,f979,f879,f871,f18954,f18951]) ).
fof(f18855,plain,
( ~ subset(sK5,sK3)
| subset(sF74,sF78)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_25
| ~ spl79_27 ),
inference(subsumption_resolution,[],[f18850,f880]) ).
fof(f18850,plain,
( ~ relation(sK3)
| ~ subset(sK5,sK3)
| subset(sF74,sF78)
| ~ spl79_1
| ~ spl79_25
| ~ spl79_27 ),
inference(superposition,[],[f7384,f988]) ).
fof(f18937,plain,
( ~ spl79_32
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25
| spl79_62 ),
inference(avatar_split_clause,[],[f18923,f2275,f979,f947,f871,f1020]) ).
fof(f18923,plain,
( ~ empty(sK5)
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25
| spl79_62 ),
inference(resolution,[],[f18863,f757]) ).
fof(f18922,plain,
( spl79_167
| ~ spl79_32
| ~ spl79_1
| ~ spl79_25 ),
inference(avatar_split_clause,[],[f18887,f979,f871,f1020,f6234]) ).
fof(f6234,plain,
( spl79_167
<=> ! [X0] : subset(sF74,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_167])]) ).
fof(f18887,plain,
( ! [X0] :
( ~ empty(sK5)
| subset(sF74,X0) )
| ~ spl79_1
| ~ spl79_25 ),
inference(resolution,[],[f18853,f1057]) ).
fof(f18853,plain,
( ! [X1] :
( ~ subset(sK5,identity_relation(X1))
| subset(sF74,X1) )
| ~ spl79_1
| ~ spl79_25 ),
inference(subsumption_resolution,[],[f18845,f626]) ).
fof(f626,plain,
! [X0] : relation(identity_relation(X0)),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
! [X0] : relation(identity_relation(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_relat_1) ).
fof(f18845,plain,
( ! [X1] :
( ~ relation(identity_relation(X1))
| ~ subset(sK5,identity_relation(X1))
| subset(sF74,X1) )
| ~ spl79_1
| ~ spl79_25 ),
inference(superposition,[],[f7384,f820]) ).
fof(f820,plain,
! [X0] : relation_dom(identity_relation(X0)) = X0,
inference(cnf_transformation,[],[f201]) ).
fof(f201,axiom,
! [X0] :
( relation_rng(identity_relation(X0)) = X0
& relation_dom(identity_relation(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t71_relat_1) ).
fof(f18921,plain,
( ~ spl79_32
| spl79_407 ),
inference(avatar_split_clause,[],[f18919,f18895,f1020]) ).
fof(f18895,plain,
( spl79_407
<=> subset(sK5,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_407])]) ).
fof(f18919,plain,
( ~ empty(sK5)
| spl79_407 ),
inference(resolution,[],[f18896,f1057]) ).
fof(f18896,plain,
( ~ subset(sK5,empty_set)
| spl79_407 ),
inference(avatar_component_clause,[],[f18895]) ).
fof(f18897,plain,
( ~ spl79_407
| ~ spl79_1
| ~ spl79_10
| ~ spl79_19
| ~ spl79_25
| spl79_62 ),
inference(avatar_split_clause,[],[f18860,f2275,f979,f947,f908,f871,f18895]) ).
fof(f18860,plain,
( ~ subset(sK5,empty_set)
| ~ spl79_1
| ~ spl79_10
| ~ spl79_19
| ~ spl79_25
| spl79_62 ),
inference(subsumption_resolution,[],[f18859,f909]) ).
fof(f18859,plain,
( ~ relation(empty_set)
| ~ subset(sK5,empty_set)
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25
| spl79_62 ),
inference(subsumption_resolution,[],[f18847,f2276]) ).
fof(f18847,plain,
( ~ subset(sK5,empty_set)
| subset(sF74,empty_set)
| ~ relation(empty_set)
| ~ spl79_1
| ~ spl79_19
| ~ spl79_25 ),
inference(superposition,[],[f7384,f948]) ).
fof(f18893,plain,
( ~ spl79_32
| spl79_406 ),
inference(avatar_split_clause,[],[f18892,f18889,f1020]) ).
fof(f18889,plain,
( spl79_406
<=> subset(sK5,sF75) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_406])]) ).
fof(f18892,plain,
( ~ empty(sK5)
| spl79_406 ),
inference(resolution,[],[f18890,f1057]) ).
fof(f18890,plain,
( ~ subset(sK5,sF75)
| spl79_406 ),
inference(avatar_component_clause,[],[f18889]) ).
fof(f18891,plain,
( ~ spl79_406
| ~ spl79_1
| ~ spl79_25
| ~ spl79_26
| ~ spl79_48
| spl79_109 ),
inference(avatar_split_clause,[],[f18857,f3493,f1594,f983,f979,f871,f18889]) ).
fof(f3493,plain,
( spl79_109
<=> subset(sF74,sF76) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_109])]) ).
fof(f18857,plain,
( ~ subset(sK5,sF75)
| ~ spl79_1
| ~ spl79_25
| ~ spl79_26
| ~ spl79_48
| spl79_109 ),
inference(subsumption_resolution,[],[f18856,f1595]) ).
fof(f18856,plain,
( ~ relation(sF75)
| ~ subset(sK5,sF75)
| ~ spl79_1
| ~ spl79_25
| ~ spl79_26
| spl79_109 ),
inference(subsumption_resolution,[],[f18852,f3494]) ).
fof(f3494,plain,
( ~ subset(sF74,sF76)
| spl79_109 ),
inference(avatar_component_clause,[],[f3493]) ).
fof(f18852,plain,
( subset(sF74,sF76)
| ~ subset(sK5,sF75)
| ~ relation(sF75)
| ~ spl79_1
| ~ spl79_25
| ~ spl79_26 ),
inference(superposition,[],[f7384,f984]) ).
fof(f18834,plain,
( ~ spl79_30
| spl79_404 ),
inference(avatar_split_clause,[],[f18833,f18827,f1013]) ).
fof(f18827,plain,
( spl79_404
<=> subset(sK3,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_404])]) ).
fof(f18833,plain,
( ~ empty(sK3)
| spl79_404 ),
inference(resolution,[],[f18828,f1057]) ).
fof(f18828,plain,
( ~ subset(sK3,sK5)
| spl79_404 ),
inference(avatar_component_clause,[],[f18827]) ).
fof(f18832,plain,
( ~ spl79_404
| spl79_405
| ~ spl79_1
| ~ spl79_3
| ~ spl79_25
| ~ spl79_27 ),
inference(avatar_split_clause,[],[f18820,f987,f979,f879,f871,f18830,f18827]) ).
fof(f18830,plain,
( spl79_405
<=> subset(sF78,sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_405])]) ).
fof(f18820,plain,
( subset(sF78,sF74)
| ~ subset(sK3,sK5)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_25
| ~ spl79_27 ),
inference(subsumption_resolution,[],[f18816,f880]) ).
fof(f18816,plain,
( ~ subset(sK3,sK5)
| ~ relation(sK3)
| subset(sF78,sF74)
| ~ spl79_1
| ~ spl79_25
| ~ spl79_27 ),
inference(superposition,[],[f7383,f988]) ).
fof(f7383,plain,
( ! [X11] :
( subset(relation_dom(X11),sF74)
| ~ subset(X11,sK5)
| ~ relation(X11) )
| ~ spl79_1
| ~ spl79_25 ),
inference(subsumption_resolution,[],[f7377,f872]) ).
fof(f7377,plain,
( ! [X11] :
( ~ subset(X11,sK5)
| ~ relation(sK5)
| subset(relation_dom(X11),sF74)
| ~ relation(X11) )
| ~ spl79_25 ),
inference(superposition,[],[f556,f980]) ).
fof(f18733,plain,
( ~ spl79_157
| spl79_403
| ~ spl79_93 ),
inference(avatar_split_clause,[],[f17832,f3150,f18731,f5015]) ).
fof(f5015,plain,
( spl79_157
<=> empty(relation_field(sF75)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_157])]) ).
fof(f18731,plain,
( spl79_403
<=> ! [X11] : ~ in(powerset(X11),sF76) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_403])]) ).
fof(f3150,plain,
( spl79_93
<=> relation_field(sF75) = set_union2(sF76,relation_rng(sF75)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_93])]) ).
fof(f17832,plain,
( ! [X11] :
( ~ in(powerset(X11),sF76)
| ~ empty(relation_field(sF75)) )
| ~ spl79_93 ),
inference(resolution,[],[f15484,f2190]) ).
fof(f15484,plain,
( ! [X1] :
( ~ in(relation_field(sF75),X1)
| ~ in(X1,sF76) )
| ~ spl79_93 ),
inference(resolution,[],[f15284,f498]) ).
fof(f498,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f385]) ).
fof(f385,plain,
! [X1,X0] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f240]) ).
fof(f240,plain,
! [X1,X0] :
( in(X1,X0)
=> ~ in(X0,X1) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f15284,plain,
( ! [X7] :
( in(X7,relation_field(sF75))
| ~ in(X7,sF76) )
| ~ spl79_93 ),
inference(superposition,[],[f4376,f3151]) ).
fof(f3151,plain,
( relation_field(sF75) = set_union2(sF76,relation_rng(sF75))
| ~ spl79_93 ),
inference(avatar_component_clause,[],[f3150]) ).
fof(f4376,plain,
! [X2,X3,X1] :
( in(X3,set_union2(X1,X2))
| ~ in(X3,X1) ),
inference(gaussian_variable_elimination,[],[f648]) ).
fof(f648,plain,
! [X2,X3,X0,X1] :
( set_union2(X1,X2) != X0
| ~ in(X3,X1)
| in(X3,X0) ),
inference(cnf_transformation,[],[f257]) ).
fof(f257,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( in(X3,X2)
| in(X3,X1) )
<=> in(X3,X0) )
<=> set_union2(X1,X2) = X0 ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
| in(X3,X0) ) )
<=> set_union2(X0,X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(f18720,plain,
( spl79_72
| spl79_402
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38 ),
inference(avatar_split_clause,[],[f17130,f1073,f879,f871,f18718,f2597]) ).
fof(f2597,plain,
( spl79_72
<=> empty_set = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl79_72])]) ).
fof(f18718,plain,
( spl79_402
<=> ! [X32] :
( in(ordered_pair(X32,sK41(sK3)),sF75)
| ~ in(ordered_pair(X32,sK40(sK3)),sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_402])]) ).
fof(f17130,plain,
( ! [X32] :
( in(ordered_pair(X32,sK41(sK3)),sF75)
| empty_set = sK3
| ~ in(ordered_pair(X32,sK40(sK3)),sK5) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38 ),
inference(subsumption_resolution,[],[f17104,f880]) ).
fof(f17104,plain,
( ! [X32] :
( ~ in(ordered_pair(X32,sK40(sK3)),sK5)
| empty_set = sK3
| in(ordered_pair(X32,sK41(sK3)),sF75)
| ~ relation(sK3) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38 ),
inference(resolution,[],[f17076,f698]) ).
fof(f698,plain,
! [X0] :
( in(ordered_pair(sK40(X0),sK41(X0)),X0)
| ~ relation(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f469]) ).
fof(f469,plain,
! [X0] :
( ? [X1,X2] : in(ordered_pair(X1,X2),X0)
| empty_set = X0
| ~ relation(X0) ),
inference(flattening,[],[f468]) ).
fof(f468,plain,
! [X0] :
( empty_set = X0
| ? [X1,X2] : in(ordered_pair(X1,X2),X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f190]) ).
fof(f190,axiom,
! [X0] :
( relation(X0)
=> ( ! [X2,X1] : ~ in(ordered_pair(X1,X2),X0)
=> empty_set = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t56_relat_1) ).
fof(f18311,plain,
( ~ spl79_32
| spl79_355
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f18222,f1594,f1073,f879,f875,f871,f15916,f1020]) ).
fof(f15916,plain,
( spl79_355
<=> ! [X27,X28] : ~ in(ordered_pair(X27,X28),sF75) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_355])]) ).
fof(f18222,plain,
( ! [X2,X3] :
( ~ in(ordered_pair(X2,X3),sF75)
| ~ empty(sK5) )
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f18219,f767]) ).
fof(f767,plain,
! [X0,X1] : ~ empty(ordered_pair(X1,X0)),
inference(cnf_transformation,[],[f301]) ).
fof(f301,plain,
! [X0,X1] : ~ empty(ordered_pair(X1,X0)),
inference(rectify,[],[f77]) ).
fof(f77,axiom,
! [X1,X0] : ~ empty(ordered_pair(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_zfmisc_1) ).
fof(f18219,plain,
( ! [X2,X3] :
( ~ in(ordered_pair(X2,X3),sF75)
| ~ empty(sK5)
| empty(ordered_pair(X2,apply(sK5,X2))) )
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f17380,f505]) ).
fof(f505,plain,
! [X0,X1] :
( ~ element(X0,X1)
| empty(X0)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f453]) ).
fof(f17380,plain,
( ! [X21,X22] :
( element(ordered_pair(X21,apply(sK5,X21)),sK5)
| ~ in(ordered_pair(X21,X22),sF75) )
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(backward_subsumption_demodulation,[],[f16543,f16549]) ).
fof(f16543,plain,
( ! [X21,X22] :
( element(ordered_pair(X21,sK59(sK5,sK3,X21,X22)),sK5)
| ~ in(ordered_pair(X21,X22),sF75) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f16440,f831]) ).
fof(f831,plain,
! [X0,X1] :
( ~ in(X1,X0)
| element(X1,X0) ),
inference(cnf_transformation,[],[f383]) ).
fof(f383,plain,
! [X1,X0] :
( element(X1,X0)
| ~ in(X1,X0) ),
inference(ennf_transformation,[],[f299]) ).
fof(f299,plain,
! [X1,X0] :
( in(X1,X0)
=> element(X1,X0) ),
inference(rectify,[],[f145]) ).
fof(f145,axiom,
! [X1,X0] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f18207,plain,
( ~ spl79_30
| spl79_401
| ~ spl79_20
| ~ spl79_236 ),
inference(avatar_split_clause,[],[f14404,f10722,f951,f18205,f1013]) ).
fof(f18205,plain,
( spl79_401
<=> in(sK53(sK3),relation_field(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_401])]) ).
fof(f10722,plain,
( spl79_236
<=> in(sK53(relation_rng(sK3)),relation_field(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_236])]) ).
fof(f14404,plain,
( in(sK53(sK3),relation_field(sK3))
| ~ empty(sK3)
| ~ spl79_20
| ~ spl79_236 ),
inference(superposition,[],[f10723,f1062]) ).
fof(f10723,plain,
( in(sK53(relation_rng(sK3)),relation_field(sK3))
| ~ spl79_236 ),
inference(avatar_component_clause,[],[f10722]) ).
fof(f18123,plain,
( spl79_355
| ~ spl79_30
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f18122,f1594,f1073,f879,f875,f871,f1013,f15916]) ).
fof(f18122,plain,
( ! [X2,X3] :
( ~ empty(sK3)
| ~ in(ordered_pair(X2,X3),sF75) )
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f18116,f767]) ).
fof(f18116,plain,
( ! [X2,X3] :
( ~ in(ordered_pair(X2,X3),sF75)
| ~ empty(sK3)
| empty(ordered_pair(apply(sK5,X2),X3)) )
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f17374,f505]) ).
fof(f17374,plain,
( ! [X24,X23] :
( element(ordered_pair(apply(sK5,X23),X24),sK3)
| ~ in(ordered_pair(X23,X24),sF75) )
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(backward_subsumption_demodulation,[],[f15899,f16549]) ).
fof(f15899,plain,
( ! [X24,X23] :
( element(ordered_pair(sK59(sK5,sK3,X23,X24),X24),sK3)
| ~ in(ordered_pair(X23,X24),sF75) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f15888,f831]) ).
fof(f18114,plain,
( ~ spl79_30
| spl79_400
| ~ spl79_1
| ~ spl79_3
| ~ spl79_20
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f17406,f1594,f1073,f983,f951,f879,f871,f18112,f1013]) ).
fof(f18112,plain,
( spl79_400
<=> ! [X0] :
( ~ in(X0,sF76)
| ~ in(sK3,sK65(sF75,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_400])]) ).
fof(f17406,plain,
( ! [X0] :
( ~ in(X0,sF76)
| ~ in(sK3,sK65(sF75,X0))
| ~ empty(sK3) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_20
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(superposition,[],[f16229,f1062]) ).
fof(f16229,plain,
( ! [X1] :
( ~ in(relation_rng(sK3),sK65(sF75,X1))
| ~ in(X1,sF76) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f15938,f498]) ).
fof(f15938,plain,
( ! [X0] :
( in(sK65(sF75,X0),relation_rng(sK3))
| ~ in(X0,sF76) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(forward_demodulation,[],[f15937,f984]) ).
fof(f15937,plain,
( ! [X0] :
( ~ in(X0,relation_dom(sF75))
| in(sK65(sF75,X0),relation_rng(sK3)) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f15919,f1595]) ).
fof(f15919,plain,
( ! [X0] :
( ~ in(X0,relation_dom(sF75))
| ~ relation(sF75)
| in(sK65(sF75,X0),relation_rng(sK3)) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f15903,f13271]) ).
fof(f15903,plain,
( ! [X10,X11] :
( ~ in(ordered_pair(X10,X11),sF75)
| in(X11,relation_rng(sK3)) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f15894,f880]) ).
fof(f15894,plain,
( ! [X10,X11] :
( ~ relation(sK3)
| ~ in(ordered_pair(X10,X11),sF75)
| in(X11,relation_rng(sK3)) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f15888,f825]) ).
fof(f825,plain,
! [X2,X0,X1] :
( ~ in(ordered_pair(X2,X1),X0)
| ~ relation(X0)
| in(X1,relation_rng(X0)) ),
inference(cnf_transformation,[],[f377]) ).
fof(f18110,plain,
( ~ spl79_30
| spl79_399
| ~ spl79_1
| ~ spl79_3
| ~ spl79_20
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f17405,f1594,f1073,f983,f951,f879,f871,f18108,f1013]) ).
fof(f18108,plain,
( spl79_399
<=> ! [X0] :
( ~ in(X0,sF76)
| element(sK65(sF75,X0),sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_399])]) ).
fof(f17405,plain,
( ! [X0] :
( ~ in(X0,sF76)
| element(sK65(sF75,X0),sK3)
| ~ empty(sK3) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_20
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(superposition,[],[f16228,f1062]) ).
fof(f16228,plain,
( ! [X0] :
( element(sK65(sF75,X0),relation_rng(sK3))
| ~ in(X0,sF76) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f15938,f831]) ).
fof(f18106,plain,
( ~ spl79_397
| ~ spl79_398
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48
| ~ spl79_51 ),
inference(avatar_split_clause,[],[f16836,f1861,f1594,f1073,f983,f879,f871,f18104,f18101]) ).
fof(f18101,plain,
( spl79_397
<=> in(cartesian_product2(sF78,relation_rng(sK3)),sF76) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_397])]) ).
fof(f18104,plain,
( spl79_398
<=> in(relation_field(sK5),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_398])]) ).
fof(f1861,plain,
( spl79_51
<=> subset(sK3,cartesian_product2(sF78,relation_rng(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_51])]) ).
fof(f16836,plain,
( ~ in(relation_field(sK5),sK3)
| ~ in(cartesian_product2(sF78,relation_rng(sK3)),sF76)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48
| ~ spl79_51 ),
inference(resolution,[],[f16657,f2374]) ).
fof(f2374,plain,
( ! [X51] :
( in(X51,cartesian_product2(sF78,relation_rng(sK3)))
| ~ in(X51,sK3) )
| ~ spl79_51 ),
inference(resolution,[],[f529,f1862]) ).
fof(f1862,plain,
( subset(sK3,cartesian_product2(sF78,relation_rng(sK3)))
| ~ spl79_51 ),
inference(avatar_component_clause,[],[f1861]) ).
fof(f16657,plain,
( ! [X1] :
( ~ in(relation_field(sK5),X1)
| ~ in(X1,sF76) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f16629,f498]) ).
fof(f16629,plain,
( ! [X6] :
( in(X6,relation_field(sK5))
| ~ in(X6,sF76) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(forward_demodulation,[],[f16628,f984]) ).
fof(f16628,plain,
( ! [X6] :
( in(X6,relation_field(sK5))
| ~ in(X6,relation_dom(sF75)) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f16608,f1595]) ).
fof(f16608,plain,
( ! [X6] :
( in(X6,relation_field(sK5))
| ~ relation(sF75)
| ~ in(X6,relation_dom(sF75)) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f16552,f13271]) ).
fof(f16552,plain,
( ! [X2,X3] :
( ~ in(ordered_pair(X2,X3),sF75)
| in(X2,relation_field(sK5)) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f16535,f872]) ).
fof(f16535,plain,
( ! [X2,X3] :
( ~ relation(sK5)
| ~ in(ordered_pair(X2,X3),sF75)
| in(X2,relation_field(sK5)) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f16440,f525]) ).
fof(f525,plain,
! [X2,X0,X1] :
( ~ in(ordered_pair(X2,X1),X0)
| ~ relation(X0)
| in(X2,relation_field(X0)) ),
inference(cnf_transformation,[],[f441]) ).
fof(f441,plain,
! [X0,X1,X2] :
( ~ in(ordered_pair(X2,X1),X0)
| ( in(X2,relation_field(X0))
& in(X1,relation_field(X0)) )
| ~ relation(X0) ),
inference(flattening,[],[f440]) ).
fof(f440,plain,
! [X0,X2,X1] :
( ( in(X2,relation_field(X0))
& in(X1,relation_field(X0)) )
| ~ in(ordered_pair(X2,X1),X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f285]) ).
fof(f285,plain,
! [X0,X2,X1] :
( relation(X0)
=> ( in(ordered_pair(X2,X1),X0)
=> ( in(X2,relation_field(X0))
& in(X1,relation_field(X0)) ) ) ),
inference(rectify,[],[f159]) ).
fof(f159,axiom,
! [X2,X1,X0] :
( relation(X2)
=> ( in(ordered_pair(X0,X1),X2)
=> ( in(X1,relation_field(X2))
& in(X0,relation_field(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_relat_1) ).
fof(f17962,plain,
( spl79_75
| spl79_396
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f16102,f1594,f1073,f879,f871,f17960,f2652]) ).
fof(f17960,plain,
( spl79_396
<=> in(sK0(relation_rng(sF75)),relation_field(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_396])]) ).
fof(f16102,plain,
( in(sK0(relation_rng(sF75)),relation_field(sK3))
| empty_set = relation_rng(sF75)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f16011,f486]) ).
fof(f486,plain,
! [X0] :
( in(sK0(X0),X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( empty_set = X0
<=> ! [X1] : ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0) ).
fof(f16011,plain,
( ! [X6] :
( ~ in(X6,relation_rng(sF75))
| in(X6,relation_field(sK3)) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f15995,f1595]) ).
fof(f15995,plain,
( ! [X6] :
( ~ in(X6,relation_rng(sF75))
| in(X6,relation_field(sK3))
| ~ relation(sF75) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f15904,f12976]) ).
fof(f12976,plain,
! [X2,X0] :
( in(ordered_pair(sK20(X0,X2),X2),X0)
| ~ relation(X0)
| ~ in(X2,relation_rng(X0)) ),
inference(gaussian_variable_elimination,[],[f572]) ).
fof(f572,plain,
! [X2,X0,X1] :
( relation_rng(X0) != X1
| in(ordered_pair(sK20(X0,X2),X2),X0)
| ~ relation(X0)
| ~ in(X2,X1) ),
inference(cnf_transformation,[],[f334]) ).
fof(f334,plain,
! [X0] :
( ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( ? [X3] : in(ordered_pair(X3,X2),X0)
<=> in(X2,X1) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( ? [X3] : in(ordered_pair(X3,X2),X0)
<=> in(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_relat_1) ).
fof(f15904,plain,
( ! [X2,X3] :
( ~ in(ordered_pair(X2,X3),sF75)
| in(X3,relation_field(sK3)) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f15890,f880]) ).
fof(f15890,plain,
( ! [X2,X3] :
( ~ in(ordered_pair(X2,X3),sF75)
| ~ relation(sK3)
| in(X3,relation_field(sK3)) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f15888,f524]) ).
fof(f524,plain,
! [X2,X0,X1] :
( ~ in(ordered_pair(X2,X1),X0)
| ~ relation(X0)
| in(X1,relation_field(X0)) ),
inference(cnf_transformation,[],[f441]) ).
fof(f17958,plain,
( spl79_75
| spl79_395
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f16052,f1594,f1073,f879,f871,f17956,f2652]) ).
fof(f17956,plain,
( spl79_395
<=> in(sK0(relation_rng(sF75)),relation_rng(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_395])]) ).
fof(f16052,plain,
( in(sK0(relation_rng(sF75)),relation_rng(sK3))
| empty_set = relation_rng(sF75)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f15942,f486]) ).
fof(f15942,plain,
( ! [X6] :
( ~ in(X6,relation_rng(sF75))
| in(X6,relation_rng(sK3)) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f15923,f1595]) ).
fof(f15923,plain,
( ! [X6] :
( ~ in(X6,relation_rng(sF75))
| in(X6,relation_rng(sK3))
| ~ relation(sF75) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f15903,f12976]) ).
fof(f17907,plain,
( spl79_355
| ~ spl79_32
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_20
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f17906,f1594,f1073,f951,f879,f875,f871,f1020,f15916]) ).
fof(f17906,plain,
( ! [X0,X1] :
( ~ empty(sK5)
| ~ in(ordered_pair(X0,X1),sF75) )
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_20
| ~ spl79_38
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f17902,f745]) ).
fof(f17902,plain,
( ! [X0,X1] :
( in(apply(sK5,X0),sK5)
| ~ in(ordered_pair(X0,X1),sF75)
| ~ empty(sK5) )
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_20
| ~ spl79_38
| ~ spl79_48 ),
inference(superposition,[],[f17383,f1062]) ).
fof(f17383,plain,
( ! [X8,X9] :
( in(apply(sK5,X8),relation_rng(sK5))
| ~ in(ordered_pair(X8,X9),sF75) )
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(backward_subsumption_demodulation,[],[f16551,f16549]) ).
fof(f16551,plain,
( ! [X8,X9] :
( in(sK59(sK5,sK3,X8,X9),relation_rng(sK5))
| ~ in(ordered_pair(X8,X9),sF75) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f16538,f872]) ).
fof(f16538,plain,
( ! [X8,X9] :
( in(sK59(sK5,sK3,X8,X9),relation_rng(sK5))
| ~ in(ordered_pair(X8,X9),sF75)
| ~ relation(sK5) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f16440,f825]) ).
fof(f17807,plain,
( ~ spl79_390
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f17802,f1594,f1073,f983,f879,f871,f17701]) ).
fof(f17701,plain,
( spl79_390
<=> in(union(singleton(singleton(relation_field(sK5)))),sF76) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_390])]) ).
fof(f17802,plain,
( ~ in(union(singleton(singleton(relation_field(sK5)))),sF76)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(superposition,[],[f17672,f1230]) ).
fof(f17672,plain,
( ! [X3] : ~ in(union(set_union2(X3,singleton(singleton(relation_field(sK5))))),sF76)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f17150,f1240]) ).
fof(f1240,plain,
! [X16,X17] : in(X16,set_union2(X17,singleton(X16))),
inference(superposition,[],[f1176,f541]) ).
fof(f1176,plain,
! [X2,X1] : in(X1,set_union2(singleton(X1),X2)),
inference(resolution,[],[f646,f617]) ).
fof(f17150,plain,
( ! [X6] :
( ~ in(singleton(relation_field(sK5)),X6)
| ~ in(union(X6),sF76) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f16857,f718]) ).
fof(f16857,plain,
( ! [X1] :
( ~ subset(singleton(relation_field(sK5)),X1)
| ~ in(X1,sF76) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(superposition,[],[f16661,f497]) ).
fof(f16661,plain,
( ! [X5] : ~ in(set_union2(singleton(relation_field(sK5)),X5),sF76)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f16629,f1189]) ).
fof(f1189,plain,
! [X2,X3] : ~ in(set_union2(singleton(X2),X3),X2),
inference(resolution,[],[f1176,f498]) ).
fof(f17806,plain,
( ~ spl79_390
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f17798,f1594,f1073,f983,f879,f871,f17701]) ).
fof(f17798,plain,
( ~ in(union(singleton(singleton(relation_field(sK5)))),sF76)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(superposition,[],[f17672,f513]) ).
fof(f17780,plain,
( ~ spl79_390
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f17777,f1594,f1073,f983,f879,f871,f17701]) ).
fof(f17777,plain,
( ~ in(union(singleton(singleton(relation_field(sK5)))),sF76)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(superposition,[],[f17671,f612]) ).
fof(f17671,plain,
( ! [X2] : ~ in(union(set_union2(singleton(singleton(relation_field(sK5))),X2)),sF76)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f17150,f1176]) ).
fof(f17779,plain,
( ~ spl79_390
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f17773,f1594,f1073,f983,f879,f871,f17701]) ).
fof(f17773,plain,
( ~ in(union(singleton(singleton(relation_field(sK5)))),sF76)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(superposition,[],[f17671,f513]) ).
fof(f17765,plain,
( ~ spl79_393
| ~ spl79_394
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48
| ~ spl79_93 ),
inference(avatar_split_clause,[],[f17602,f3150,f1594,f1073,f983,f879,f871,f17763,f17760]) ).
fof(f17760,plain,
( spl79_393
<=> in(relation_field(sF75),sF76) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_393])]) ).
fof(f17763,plain,
( spl79_394
<=> in(relation_field(sK5),relation_rng(sF75)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_394])]) ).
fof(f17602,plain,
( ~ in(relation_field(sK5),relation_rng(sF75))
| ~ in(relation_field(sF75),sF76)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48
| ~ spl79_93 ),
inference(superposition,[],[f16829,f3151]) ).
fof(f16829,plain,
( ! [X4,X5] :
( ~ in(set_union2(X4,X5),sF76)
| ~ in(relation_field(sK5),X5) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f16657,f4586]) ).
fof(f4586,plain,
! [X2,X3,X1] :
( in(X3,set_union2(X1,X2))
| ~ in(X3,X2) ),
inference(gaussian_variable_elimination,[],[f649]) ).
fof(f649,plain,
! [X2,X3,X0,X1] :
( set_union2(X1,X2) != X0
| in(X3,X0)
| ~ in(X3,X2) ),
inference(cnf_transformation,[],[f257]) ).
fof(f17758,plain,
( ~ spl79_390
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f17748,f1594,f1073,f983,f879,f871,f17701]) ).
fof(f17748,plain,
( ~ in(union(singleton(singleton(relation_field(sK5)))),sF76)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(superposition,[],[f17670,f619]) ).
fof(f619,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f198]) ).
fof(f198,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f17670,plain,
( ! [X1] : ~ in(union(unordered_pair(X1,singleton(relation_field(sK5)))),sF76)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f17150,f1332]) ).
fof(f1332,plain,
! [X0,X1] : in(X0,unordered_pair(X1,X0)),
inference(resolution,[],[f538,f757]) ).
fof(f538,plain,
! [X2,X0,X1] :
( ~ subset(unordered_pair(X2,X0),X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
! [X0,X1,X2] :
( subset(unordered_pair(X2,X0),X1)
<=> ( in(X0,X1)
& in(X2,X1) ) ),
inference(rectify,[],[f166]) ).
fof(f166,axiom,
! [X1,X2,X0] :
( ( in(X1,X2)
& in(X0,X2) )
<=> subset(unordered_pair(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_zfmisc_1) ).
fof(f17747,plain,
( ~ spl79_390
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f17744,f1594,f1073,f983,f879,f871,f17701]) ).
fof(f17744,plain,
( ~ in(union(singleton(singleton(relation_field(sK5)))),sF76)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(superposition,[],[f17669,f619]) ).
fof(f17669,plain,
( ! [X0] : ~ in(union(unordered_pair(singleton(relation_field(sK5)),X0)),sF76)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f17150,f1325]) ).
fof(f1325,plain,
! [X0,X1] : in(X0,unordered_pair(X0,X1)),
inference(resolution,[],[f537,f757]) ).
fof(f537,plain,
! [X2,X0,X1] :
( ~ subset(unordered_pair(X2,X0),X1)
| in(X2,X1) ),
inference(cnf_transformation,[],[f228]) ).
fof(f17711,plain,
( ~ spl79_392
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f17693,f1594,f1073,f983,f879,f871,f17709]) ).
fof(f17709,plain,
( spl79_392
<=> in(union(sK73(singleton(relation_field(sK5)))),sF76) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_392])]) ).
fof(f17693,plain,
( ~ in(union(sK73(singleton(relation_field(sK5)))),sF76)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f17150,f857]) ).
fof(f857,plain,
! [X0] : in(X0,sK73(X0)),
inference(cnf_transformation,[],[f404]) ).
fof(f404,plain,
! [X0] :
? [X1] :
( ! [X2,X3] :
( ~ in(X3,X1)
| ~ subset(X2,X3)
| in(X2,X1) )
& in(X0,X1)
& ! [X5] :
( in(powerset(X5),X1)
| ~ in(X5,X1) ) ),
inference(flattening,[],[f403]) ).
fof(f403,plain,
! [X0] :
? [X1] :
( ! [X2,X3] :
( in(X2,X1)
| ~ in(X3,X1)
| ~ subset(X2,X3) )
& ! [X5] :
( in(powerset(X5),X1)
| ~ in(X5,X1) )
& in(X0,X1) ),
inference(ennf_transformation,[],[f311]) ).
fof(f311,plain,
! [X0] :
? [X1] :
( ! [X2,X3] :
( ( in(X3,X1)
& subset(X2,X3) )
=> in(X2,X1) )
& ! [X5] :
( in(X5,X1)
=> in(powerset(X5),X1) )
& in(X0,X1) ),
inference(pure_predicate_removal,[],[f271]) ).
fof(f271,plain,
! [X0] :
? [X1] :
( ! [X2,X3] :
( ( in(X3,X1)
& subset(X2,X3) )
=> in(X2,X1) )
& ! [X5] :
( in(X5,X1)
=> in(powerset(X5),X1) )
& ! [X4] :
~ ( subset(X4,X1)
& ~ in(X4,X1)
& ~ are_equipotent(X4,X1) )
& in(X0,X1) ),
inference(rectify,[],[f131]) ).
fof(f131,axiom,
! [X0] :
? [X1] :
( ! [X3,X2] :
( ( subset(X3,X2)
& in(X2,X1) )
=> in(X3,X1) )
& ! [X2] :
~ ( ~ are_equipotent(X2,X1)
& ~ in(X2,X1)
& subset(X2,X1) )
& in(X0,X1)
& ! [X2] :
( in(X2,X1)
=> in(powerset(X2),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t136_zfmisc_1) ).
fof(f17707,plain,
( ~ spl79_391
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f17691,f1594,f1073,f983,f879,f871,f17705]) ).
fof(f17705,plain,
( spl79_391
<=> in(union(sK22(singleton(relation_field(sK5)))),sF76) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_391])]) ).
fof(f17691,plain,
( ~ in(union(sK22(singleton(relation_field(sK5)))),sF76)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f17150,f584]) ).
fof(f584,plain,
! [X0] : in(X0,sK22(X0)),
inference(cnf_transformation,[],[f401]) ).
fof(f401,plain,
! [X0] :
? [X1] :
( ! [X2,X3] :
( ~ subset(X2,X3)
| in(X2,X1)
| ~ in(X3,X1) )
& ! [X4] :
( ? [X5] :
( in(X5,X1)
& ! [X6] :
( ~ subset(X6,X4)
| in(X6,X5) ) )
| ~ in(X4,X1) )
& in(X0,X1) ),
inference(flattening,[],[f400]) ).
fof(f400,plain,
! [X0] :
? [X1] :
( ! [X4] :
( ? [X5] :
( in(X5,X1)
& ! [X6] :
( ~ subset(X6,X4)
| in(X6,X5) ) )
| ~ in(X4,X1) )
& ! [X2,X3] :
( in(X2,X1)
| ~ in(X3,X1)
| ~ subset(X2,X3) )
& in(X0,X1) ),
inference(ennf_transformation,[],[f310]) ).
fof(f310,plain,
! [X0] :
? [X1] :
( ! [X4] :
~ ( ! [X5] :
~ ( in(X5,X1)
& ! [X6] :
( subset(X6,X4)
=> in(X6,X5) ) )
& in(X4,X1) )
& ! [X2,X3] :
( ( in(X3,X1)
& subset(X2,X3) )
=> in(X2,X1) )
& in(X0,X1) ),
inference(pure_predicate_removal,[],[f250]) ).
fof(f250,plain,
! [X0] :
? [X1] :
( ! [X4] :
~ ( ! [X5] :
~ ( in(X5,X1)
& ! [X6] :
( subset(X6,X4)
=> in(X6,X5) ) )
& in(X4,X1) )
& ! [X2,X3] :
( ( in(X3,X1)
& subset(X2,X3) )
=> in(X2,X1) )
& in(X0,X1)
& ! [X7] :
~ ( ~ in(X7,X1)
& ~ are_equipotent(X7,X1)
& subset(X7,X1) ) ),
inference(rectify,[],[f217]) ).
fof(f217,axiom,
! [X0] :
? [X1] :
( ! [X3,X2] :
( ( subset(X3,X2)
& in(X2,X1) )
=> in(X3,X1) )
& ! [X2] :
~ ( ! [X3] :
~ ( ! [X4] :
( subset(X4,X2)
=> in(X4,X3) )
& in(X3,X1) )
& in(X2,X1) )
& ! [X2] :
~ ( ~ in(X2,X1)
& ~ are_equipotent(X2,X1)
& subset(X2,X1) )
& in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_tarski) ).
fof(f17703,plain,
( ~ spl79_390
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f17676,f1594,f1073,f983,f879,f871,f17701]) ).
fof(f17676,plain,
( ~ in(union(singleton(singleton(relation_field(sK5)))),sF76)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f17150,f1175]) ).
fof(f17699,plain,
( ~ spl79_157
| spl79_389
| ~ spl79_345 ),
inference(avatar_split_clause,[],[f17661,f15290,f17697,f5015]) ).
fof(f15290,plain,
( spl79_345
<=> subset(sF76,relation_field(sF75)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_345])]) ).
fof(f17661,plain,
( ! [X0] :
( subset(sF76,X0)
| ~ empty(relation_field(sF75)) )
| ~ spl79_345 ),
inference(resolution,[],[f15330,f1057]) ).
fof(f15330,plain,
( ! [X1] :
( ~ subset(relation_field(sF75),X1)
| subset(sF76,X1) )
| ~ spl79_345 ),
inference(resolution,[],[f15291,f747]) ).
fof(f15291,plain,
( subset(sF76,relation_field(sF75))
| ~ spl79_345 ),
inference(avatar_component_clause,[],[f15290]) ).
fof(f17627,plain,
( ~ spl79_388
| ~ spl79_384 ),
inference(avatar_split_clause,[],[f17590,f17581,f17625]) ).
fof(f17625,plain,
( spl79_388
<=> in(relation_field(sK3),sF77) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_388])]) ).
fof(f17581,plain,
( spl79_384
<=> in(sF77,relation_field(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_384])]) ).
fof(f17590,plain,
( ~ in(relation_field(sK3),sF77)
| ~ spl79_384 ),
inference(resolution,[],[f17582,f498]) ).
fof(f17582,plain,
( in(sF77,relation_field(sK3))
| ~ spl79_384 ),
inference(avatar_component_clause,[],[f17581]) ).
fof(f17623,plain,
( ~ spl79_37
| spl79_387
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_26
| ~ spl79_27
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f17538,f1594,f1073,f987,f983,f879,f875,f871,f17621,f1067]) ).
fof(f17621,plain,
( spl79_387
<=> ! [X1] :
( empty(apply(sK5,X1))
| ~ in(X1,sF76) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_387])]) ).
fof(f17538,plain,
( ! [X1] :
( empty(apply(sK5,X1))
| ~ in(X1,sF76)
| ~ empty(sF78) )
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_26
| ~ spl79_27
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f17516,f505]) ).
fof(f17516,plain,
( ! [X0] :
( element(apply(sK5,X0),sF78)
| ~ in(X0,sF76) )
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_26
| ~ spl79_27
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f17507,f831]) ).
fof(f17607,plain,
( spl79_386
| ~ spl79_384 ),
inference(avatar_split_clause,[],[f17589,f17581,f17605]) ).
fof(f17605,plain,
( spl79_386
<=> element(sF77,relation_field(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_386])]) ).
fof(f17589,plain,
( element(sF77,relation_field(sK3))
| ~ spl79_384 ),
inference(resolution,[],[f17582,f831]) ).
fof(f17586,plain,
( spl79_384
| spl79_385
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_38
| ~ spl79_39
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f17569,f1594,f1077,f1073,f879,f875,f871,f17584,f17581]) ).
fof(f17569,plain,
( ! [X0] :
( ~ in(ordered_pair(sK4,X0),sF75)
| in(sF77,relation_field(sK3)) )
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_38
| ~ spl79_39
| ~ spl79_48 ),
inference(superposition,[],[f17377,f1078]) ).
fof(f17377,plain,
( ! [X4,X5] :
( in(apply(sK5,X4),relation_field(sK3))
| ~ in(ordered_pair(X4,X5),sF75) )
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(backward_subsumption_demodulation,[],[f15911,f16549]) ).
fof(f15911,plain,
( ! [X4,X5] :
( in(sK59(sK5,sK3,X4,X5),relation_field(sK3))
| ~ in(ordered_pair(X4,X5),sF75) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f15891,f880]) ).
fof(f15891,plain,
( ! [X4,X5] :
( in(sK59(sK5,sK3,X4,X5),relation_field(sK3))
| ~ relation(sK3)
| ~ in(ordered_pair(X4,X5),sF75) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f15888,f525]) ).
fof(f17565,plain,
( ~ spl79_383
| ~ spl79_381 ),
inference(avatar_split_clause,[],[f17551,f17547,f17563]) ).
fof(f17563,plain,
( spl79_383
<=> in(sF78,apply(sK5,sK40(sF75))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_383])]) ).
fof(f17547,plain,
( spl79_381
<=> in(apply(sK5,sK40(sF75)),sF78) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_381])]) ).
fof(f17551,plain,
( ~ in(sF78,apply(sK5,sK40(sF75)))
| ~ spl79_381 ),
inference(resolution,[],[f17548,f498]) ).
fof(f17548,plain,
( in(apply(sK5,sK40(sF75)),sF78)
| ~ spl79_381 ),
inference(avatar_component_clause,[],[f17547]) ).
fof(f17561,plain,
( spl79_382
| ~ spl79_381 ),
inference(avatar_split_clause,[],[f17550,f17547,f17559]) ).
fof(f17559,plain,
( spl79_382
<=> element(apply(sK5,sK40(sF75)),sF78) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_382])]) ).
fof(f17550,plain,
( element(apply(sK5,sK40(sF75)),sF78)
| ~ spl79_381 ),
inference(resolution,[],[f17548,f831]) ).
fof(f17557,plain,
( ~ spl79_37
| ~ spl79_381 ),
inference(avatar_split_clause,[],[f17552,f17547,f1067]) ).
fof(f17552,plain,
( ~ empty(sF78)
| ~ spl79_381 ),
inference(resolution,[],[f17548,f745]) ).
fof(f17549,plain,
( spl79_381
| spl79_69
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_27
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f17492,f1594,f1073,f987,f879,f875,f871,f2561,f17547]) ).
fof(f2561,plain,
( spl79_69
<=> empty_set = sF75 ),
introduced(avatar_definition,[new_symbols(naming,[spl79_69])]) ).
fof(f17492,plain,
( empty_set = sF75
| in(apply(sK5,sK40(sF75)),sF78)
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_27
| ~ spl79_38
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f17480,f1595]) ).
fof(f17480,plain,
( ~ relation(sF75)
| empty_set = sF75
| in(apply(sK5,sK40(sF75)),sF78)
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_27
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f17378,f698]) ).
fof(f17536,plain,
( ~ spl79_37
| spl79_351
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_26
| ~ spl79_27
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f17518,f1594,f1073,f987,f983,f879,f875,f871,f15685,f1067]) ).
fof(f17518,plain,
( ! [X2] :
( ~ in(X2,sF76)
| ~ empty(sF78) )
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_26
| ~ spl79_27
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f17507,f745]) ).
fof(f17465,plain,
( spl79_355
| ~ spl79_32
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f17449,f1594,f1073,f879,f875,f871,f1020,f15916]) ).
fof(f17449,plain,
( ! [X26,X25] :
( ~ empty(sK5)
| ~ in(ordered_pair(X25,X26),sF75) )
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f17379,f745]) ).
fof(f17379,plain,
( ! [X2,X1] :
( in(ordered_pair(X1,apply(sK5,X1)),sK5)
| ~ in(ordered_pair(X1,X2),sF75) )
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(backward_subsumption_demodulation,[],[f16440,f16549]) ).
fof(f17464,plain,
( ~ spl79_30
| spl79_355
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f17421,f1594,f1073,f879,f875,f871,f15916,f1013]) ).
fof(f17421,plain,
( ! [X31,X30] :
( ~ in(ordered_pair(X30,X31),sF75)
| ~ empty(sK3) )
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f17373,f745]) ).
fof(f17373,plain,
( ! [X2,X1] :
( in(ordered_pair(apply(sK5,X1),X2),sK3)
| ~ in(ordered_pair(X1,X2),sF75) )
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(backward_subsumption_demodulation,[],[f15888,f16549]) ).
fof(f17402,plain,
( spl79_355
| ~ spl79_32
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f17372,f1594,f1073,f879,f871,f1020,f15916]) ).
fof(f17372,plain,
( ! [X2,X3] :
( ~ empty(sK5)
| ~ in(ordered_pair(X2,X3),sF75) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f17371,f767]) ).
fof(f17371,plain,
( ! [X2,X3] :
( ~ empty(sK5)
| ~ in(ordered_pair(X2,X3),sF75)
| empty(ordered_pair(X2,sK59(sK5,sK3,X2,X3))) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f16543,f505]) ).
fof(f17369,plain,
( spl79_85
| spl79_380
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f16126,f1594,f1073,f879,f871,f17367,f3025]) ).
fof(f3025,plain,
( spl79_85
<=> empty(relation_rng(sF75)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_85])]) ).
fof(f17367,plain,
( spl79_380
<=> in(sK53(relation_rng(sF75)),relation_field(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_380])]) ).
fof(f16126,plain,
( in(sK53(relation_rng(sF75)),relation_field(sK3))
| empty(relation_rng(sF75))
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f16011,f1545]) ).
fof(f1545,plain,
! [X17] :
( in(sK53(X17),X17)
| empty(X17) ),
inference(resolution,[],[f508,f746]) ).
fof(f746,plain,
! [X0] : element(sK53(X0),X0),
inference(cnf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f17365,plain,
( spl79_235
| spl79_379
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f16125,f1594,f1073,f879,f871,f17363,f10568]) ).
fof(f10568,plain,
( spl79_235
<=> relation(relation_rng(sF75)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_235])]) ).
fof(f17363,plain,
( spl79_379
<=> in(sK49(relation_rng(sF75)),relation_field(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_379])]) ).
fof(f16125,plain,
( in(sK49(relation_rng(sF75)),relation_field(sK3))
| relation(relation_rng(sF75))
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f16011,f737]) ).
fof(f737,plain,
! [X0] :
( in(sK49(X0),X0)
| relation(X0) ),
inference(cnf_transformation,[],[f363]) ).
fof(f363,plain,
! [X0] :
( ! [X1] :
( ? [X3,X2] : ordered_pair(X2,X3) = X1
| ~ in(X1,X0) )
<=> relation(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( relation(X0)
<=> ! [X1] :
~ ( in(X1,X0)
& ! [X2,X3] : ordered_pair(X2,X3) != X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_relat_1) ).
fof(f17361,plain,
( spl79_85
| spl79_378
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f16076,f1594,f1073,f879,f871,f17359,f3025]) ).
fof(f17359,plain,
( spl79_378
<=> in(sK53(relation_rng(sF75)),relation_rng(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_378])]) ).
fof(f16076,plain,
( in(sK53(relation_rng(sF75)),relation_rng(sK3))
| empty(relation_rng(sF75))
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f15942,f1545]) ).
fof(f17357,plain,
( spl79_377
| spl79_235
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f16075,f1594,f1073,f879,f871,f10568,f17354]) ).
fof(f17354,plain,
( spl79_377
<=> in(sK49(relation_rng(sF75)),relation_rng(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_377])]) ).
fof(f16075,plain,
( relation(relation_rng(sF75))
| in(sK49(relation_rng(sF75)),relation_rng(sK3))
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f15942,f737]) ).
fof(f17089,plain,
( ~ spl79_376
| ~ spl79_372 ),
inference(avatar_split_clause,[],[f16995,f16991,f17087]) ).
fof(f17087,plain,
( spl79_376
<=> in(relation_field(sK5),sK40(sF75)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_376])]) ).
fof(f16991,plain,
( spl79_372
<=> in(sK40(sF75),relation_field(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_372])]) ).
fof(f16995,plain,
( ~ in(relation_field(sK5),sK40(sF75))
| ~ spl79_372 ),
inference(resolution,[],[f16992,f498]) ).
fof(f16992,plain,
( in(sK40(sF75),relation_field(sK5))
| ~ spl79_372 ),
inference(avatar_component_clause,[],[f16991]) ).
fof(f17085,plain,
( spl79_375
| ~ spl79_372 ),
inference(avatar_split_clause,[],[f16994,f16991,f17083]) ).
fof(f17083,plain,
( spl79_375
<=> element(sK40(sF75),relation_field(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_375])]) ).
fof(f16994,plain,
( element(sK40(sF75),relation_field(sK5))
| ~ spl79_372 ),
inference(resolution,[],[f16992,f831]) ).
fof(f17003,plain,
( ~ spl79_373
| ~ spl79_374
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48
| ~ spl79_92 ),
inference(avatar_split_clause,[],[f16814,f3146,f1594,f1073,f983,f879,f871,f17001,f16998]) ).
fof(f16998,plain,
( spl79_373
<=> in(relation_field(sK3),sF76) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_373])]) ).
fof(f17001,plain,
( spl79_374
<=> in(relation_field(sK5),sF78) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_374])]) ).
fof(f3146,plain,
( spl79_92
<=> set_union2(sF78,relation_rng(sK3)) = relation_field(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_92])]) ).
fof(f16814,plain,
( ~ in(relation_field(sK5),sF78)
| ~ in(relation_field(sK3),sF76)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48
| ~ spl79_92 ),
inference(resolution,[],[f5173,f16629]) ).
fof(f5173,plain,
( ! [X1] :
( ~ in(relation_field(sK3),X1)
| ~ in(X1,sF78) )
| ~ spl79_92 ),
inference(resolution,[],[f4477,f498]) ).
fof(f4477,plain,
( ! [X25] :
( in(X25,relation_field(sK3))
| ~ in(X25,sF78) )
| ~ spl79_92 ),
inference(superposition,[],[f4376,f3147]) ).
fof(f3147,plain,
( set_union2(sF78,relation_rng(sK3)) = relation_field(sK3)
| ~ spl79_92 ),
inference(avatar_component_clause,[],[f3146]) ).
fof(f16993,plain,
( spl79_372
| spl79_69
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f16630,f1594,f1073,f879,f871,f2561,f16991]) ).
fof(f16630,plain,
( empty_set = sF75
| in(sK40(sF75),relation_field(sK5))
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f16617,f1595]) ).
fof(f16617,plain,
( in(sK40(sF75),relation_field(sK5))
| empty_set = sF75
| ~ relation(sF75)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f16552,f698]) ).
fof(f16904,plain,
( ~ spl79_30
| spl79_355
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f16903,f1594,f1073,f879,f871,f15916,f1013]) ).
fof(f16903,plain,
( ! [X2,X3] :
( ~ in(ordered_pair(X2,X3),sF75)
| ~ empty(sK3) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f16902,f767]) ).
fof(f16902,plain,
( ! [X2,X3] :
( ~ in(ordered_pair(X2,X3),sF75)
| empty(ordered_pair(sK59(sK5,sK3,X2,X3),X3))
| ~ empty(sK3) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f15899,f505]) ).
fof(f16867,plain,
( ~ spl79_32
| spl79_355
| ~ spl79_1
| ~ spl79_3
| ~ spl79_20
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f16866,f1594,f1073,f951,f879,f871,f15916,f1020]) ).
fof(f16866,plain,
( ! [X0,X1] :
( ~ in(ordered_pair(X0,X1),sF75)
| ~ empty(sK5) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_20
| ~ spl79_38
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f16865,f745]) ).
fof(f16865,plain,
( ! [X0,X1] :
( ~ in(ordered_pair(X0,X1),sF75)
| in(sK59(sK5,sK3,X0,X1),sK5)
| ~ empty(sK5) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_20
| ~ spl79_38
| ~ spl79_48 ),
inference(superposition,[],[f16551,f1062]) ).
fof(f16854,plain,
( ~ spl79_371
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f16850,f1594,f1073,f983,f879,f871,f16852]) ).
fof(f16852,plain,
( spl79_371
<=> in(relation_field(sK5),sF76) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_371])]) ).
fof(f16850,plain,
( ~ in(relation_field(sK5),sF76)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(duplicate_literal_removal,[],[f16842]) ).
fof(f16842,plain,
( ~ in(relation_field(sK5),sF76)
| ~ in(relation_field(sK5),sF76)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f16657,f16629]) ).
fof(f16714,plain,
( ~ spl79_370
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f16690,f1594,f1073,f983,f879,f871,f16712]) ).
fof(f16712,plain,
( spl79_370
<=> in(sK73(relation_field(sK5)),sF76) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_370])]) ).
fof(f16690,plain,
( ~ in(sK73(relation_field(sK5)),sF76)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f16629,f1109]) ).
fof(f1109,plain,
! [X0] : ~ in(sK73(X0),X0),
inference(resolution,[],[f498,f857]) ).
fof(f16710,plain,
( ~ spl79_369
| ~ spl79_364 ),
inference(avatar_split_clause,[],[f16654,f16650,f16708]) ).
fof(f16708,plain,
( spl79_369
<=> in(sF74,sK40(sF75)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_369])]) ).
fof(f16650,plain,
( spl79_364
<=> in(sK40(sF75),sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_364])]) ).
fof(f16654,plain,
( ~ in(sF74,sK40(sF75))
| ~ spl79_364 ),
inference(resolution,[],[f16651,f498]) ).
fof(f16651,plain,
( in(sK40(sF75),sF74)
| ~ spl79_364 ),
inference(avatar_component_clause,[],[f16650]) ).
fof(f16706,plain,
( spl79_368
| ~ spl79_364 ),
inference(avatar_split_clause,[],[f16653,f16650,f16704]) ).
fof(f16704,plain,
( spl79_368
<=> element(sK40(sF75),sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_368])]) ).
fof(f16653,plain,
( element(sK40(sF75),sF74)
| ~ spl79_364 ),
inference(resolution,[],[f16651,f831]) ).
fof(f16702,plain,
( ~ spl79_367
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f16682,f1594,f1073,f983,f879,f871,f16700]) ).
fof(f16700,plain,
( spl79_367
<=> in(sK22(relation_field(sK5)),sF76) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_367])]) ).
fof(f16682,plain,
( ~ in(sK22(relation_field(sK5)),sF76)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f16629,f1110]) ).
fof(f1110,plain,
! [X1] : ~ in(sK22(X1),X1),
inference(resolution,[],[f498,f584]) ).
fof(f16698,plain,
( ~ spl79_366
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f16677,f1594,f1073,f983,f879,f871,f16696]) ).
fof(f16696,plain,
( spl79_366
<=> in(powerset(relation_field(sK5)),sF76) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_366])]) ).
fof(f16677,plain,
( ~ in(powerset(relation_field(sK5)),sF76)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f16629,f1552]) ).
fof(f1552,plain,
! [X1] : ~ in(powerset(X1),X1),
inference(resolution,[],[f1550,f498]) ).
fof(f16694,plain,
( ~ spl79_365
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f16676,f1594,f1073,f983,f879,f871,f16692]) ).
fof(f16692,plain,
( spl79_365
<=> in(singleton(relation_field(sK5)),sF76) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_365])]) ).
fof(f16676,plain,
( ~ in(singleton(relation_field(sK5)),sF76)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f16629,f1180]) ).
fof(f1180,plain,
! [X1] : ~ in(singleton(X1),X1),
inference(resolution,[],[f1175,f498]) ).
fof(f16652,plain,
( spl79_69
| spl79_364
| ~ spl79_1
| ~ spl79_3
| ~ spl79_25
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f16587,f1594,f1073,f979,f879,f871,f16650,f2561]) ).
fof(f16587,plain,
( in(sK40(sF75),sF74)
| empty_set = sF75
| ~ spl79_1
| ~ spl79_3
| ~ spl79_25
| ~ spl79_38
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f16573,f1595]) ).
fof(f16573,plain,
( empty_set = sF75
| in(sK40(sF75),sF74)
| ~ relation(sF75)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_25
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f16555,f698]) ).
fof(f16555,plain,
( ! [X6,X7] :
( ~ in(ordered_pair(X6,X7),sF75)
| in(X6,sF74) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_25
| ~ spl79_38
| ~ spl79_48 ),
inference(forward_demodulation,[],[f16554,f980]) ).
fof(f16554,plain,
( ! [X6,X7] :
( in(X6,relation_dom(sK5))
| ~ in(ordered_pair(X6,X7),sF75) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f16537,f872]) ).
fof(f16537,plain,
( ! [X6,X7] :
( ~ relation(sK5)
| in(X6,relation_dom(sK5))
| ~ in(ordered_pair(X6,X7),sF75) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f16440,f824]) ).
fof(f16560,plain,
( spl79_355
| ~ spl79_32
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f16545,f1594,f1073,f879,f871,f1020,f15916]) ).
fof(f16545,plain,
( ! [X26,X25] :
( ~ empty(sK5)
| ~ in(ordered_pair(X25,X26),sF75) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f16440,f745]) ).
fof(f16437,plain,
( ~ spl79_363
| ~ spl79_30
| ~ spl79_20
| spl79_358 ),
inference(avatar_split_clause,[],[f16143,f16134,f951,f1013,f16435]) ).
fof(f16435,plain,
( spl79_363
<=> in(sK3,sK41(sF75)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_363])]) ).
fof(f16134,plain,
( spl79_358
<=> in(relation_rng(sK3),sK41(sF75)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_358])]) ).
fof(f16143,plain,
( ~ empty(sK3)
| ~ in(sK3,sK41(sF75))
| ~ spl79_20
| spl79_358 ),
inference(superposition,[],[f16135,f1062]) ).
fof(f16135,plain,
( ~ in(relation_rng(sK3),sK41(sF75))
| spl79_358 ),
inference(avatar_component_clause,[],[f16134]) ).
fof(f16247,plain,
( spl79_351
| ~ spl79_30
| ~ spl79_1
| ~ spl79_3
| ~ spl79_20
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f16232,f1594,f1073,f983,f951,f879,f871,f1013,f15685]) ).
fof(f16232,plain,
( ! [X0] :
( ~ empty(sK3)
| ~ in(X0,sF76) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_20
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f16231,f745]) ).
fof(f16231,plain,
( ! [X0] :
( ~ in(X0,sF76)
| in(sK65(sF75,X0),sK3)
| ~ empty(sK3) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_20
| ~ spl79_26
| ~ spl79_38
| ~ spl79_48 ),
inference(superposition,[],[f15938,f1062]) ).
fof(f16236,plain,
( ~ spl79_362
| ~ spl79_360 ),
inference(avatar_split_clause,[],[f16222,f16218,f16234]) ).
fof(f16234,plain,
( spl79_362
<=> in(relation_field(sK3),sK41(sF75)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_362])]) ).
fof(f16218,plain,
( spl79_360
<=> in(sK41(sF75),relation_field(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_360])]) ).
fof(f16222,plain,
( ~ in(relation_field(sK3),sK41(sF75))
| ~ spl79_360 ),
inference(resolution,[],[f16219,f498]) ).
fof(f16219,plain,
( in(sK41(sF75),relation_field(sK3))
| ~ spl79_360 ),
inference(avatar_component_clause,[],[f16218]) ).
fof(f16227,plain,
( spl79_361
| ~ spl79_360 ),
inference(avatar_split_clause,[],[f16221,f16218,f16225]) ).
fof(f16225,plain,
( spl79_361
<=> element(sK41(sF75),relation_field(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_361])]) ).
fof(f16221,plain,
( element(sK41(sF75),relation_field(sK3))
| ~ spl79_360 ),
inference(resolution,[],[f16219,f831]) ).
fof(f16220,plain,
( spl79_69
| spl79_360
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f16024,f1594,f1073,f879,f871,f16218,f2561]) ).
fof(f16024,plain,
( in(sK41(sF75),relation_field(sK3))
| empty_set = sF75
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f16001,f1595]) ).
fof(f16001,plain,
( empty_set = sF75
| ~ relation(sF75)
| in(sK41(sF75),relation_field(sK3))
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f15904,f698]) ).
fof(f16216,plain,
( spl79_359
| ~ spl79_30
| ~ spl79_20
| ~ spl79_357 ),
inference(avatar_split_clause,[],[f16139,f16084,f951,f1013,f16214]) ).
fof(f16214,plain,
( spl79_359
<=> element(sK41(sF75),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_359])]) ).
fof(f16084,plain,
( spl79_357
<=> element(sK41(sF75),relation_rng(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_357])]) ).
fof(f16139,plain,
( ~ empty(sK3)
| element(sK41(sF75),sK3)
| ~ spl79_20
| ~ spl79_357 ),
inference(superposition,[],[f16085,f1062]) ).
fof(f16085,plain,
( element(sK41(sF75),relation_rng(sK3))
| ~ spl79_357 ),
inference(avatar_component_clause,[],[f16084]) ).
fof(f16136,plain,
( ~ spl79_358
| ~ spl79_356 ),
inference(avatar_split_clause,[],[f16031,f15988,f16134]) ).
fof(f15988,plain,
( spl79_356
<=> in(sK41(sF75),relation_rng(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_356])]) ).
fof(f16031,plain,
( ~ in(relation_rng(sK3),sK41(sF75))
| ~ spl79_356 ),
inference(resolution,[],[f15989,f498]) ).
fof(f15989,plain,
( in(sK41(sF75),relation_rng(sK3))
| ~ spl79_356 ),
inference(avatar_component_clause,[],[f15988]) ).
fof(f16086,plain,
( spl79_357
| ~ spl79_356 ),
inference(avatar_split_clause,[],[f16030,f15988,f16084]) ).
fof(f16030,plain,
( element(sK41(sF75),relation_rng(sK3))
| ~ spl79_356 ),
inference(resolution,[],[f15989,f831]) ).
fof(f16036,plain,
( ~ spl79_30
| ~ spl79_20
| ~ spl79_356 ),
inference(avatar_split_clause,[],[f16034,f15988,f951,f1013]) ).
fof(f16034,plain,
( ~ empty(sK3)
| ~ spl79_20
| ~ spl79_356 ),
inference(subsumption_resolution,[],[f16033,f745]) ).
fof(f16033,plain,
( ~ empty(sK3)
| in(sK41(sF75),sK3)
| ~ spl79_20
| ~ spl79_356 ),
inference(superposition,[],[f15989,f1062]) ).
fof(f16035,plain,
( ~ spl79_37
| spl79_355
| ~ spl79_1
| ~ spl79_3
| ~ spl79_27
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f16029,f1594,f1073,f987,f879,f871,f15916,f1067]) ).
fof(f16029,plain,
( ! [X4,X5] :
( ~ in(ordered_pair(X4,X5),sF75)
| ~ empty(sF78) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_27
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f15913,f745]) ).
fof(f15990,plain,
( spl79_69
| spl79_356
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f15941,f1594,f1073,f879,f871,f15988,f2561]) ).
fof(f15941,plain,
( in(sK41(sF75),relation_rng(sK3))
| empty_set = sF75
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f15929,f1595]) ).
fof(f15929,plain,
( in(sK41(sF75),relation_rng(sK3))
| empty_set = sF75
| ~ relation(sF75)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f15903,f698]) ).
fof(f15918,plain,
( spl79_355
| ~ spl79_30
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f15901,f1594,f1073,f879,f871,f1013,f15916]) ).
fof(f15901,plain,
( ! [X28,X27] :
( ~ empty(sK3)
| ~ in(ordered_pair(X27,X28),sF75) )
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38
| ~ spl79_48 ),
inference(resolution,[],[f15888,f745]) ).
fof(f15882,plain,
( ~ spl79_37
| spl79_354
| ~ spl79_3
| ~ spl79_51
| ~ spl79_77 ),
inference(avatar_split_clause,[],[f15868,f2673,f1861,f879,f15880,f1067]) ).
fof(f15880,plain,
( spl79_354
<=> ! [X2,X3] :
( empty(sK28(sK3,X3,X2))
| in(sK28(sK3,X3,X2),X2)
| empty_set = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_354])]) ).
fof(f2673,plain,
( spl79_77
<=> ! [X0,X1] : disjoint(relation_inverse_image(sK3,X0),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_77])]) ).
fof(f15868,plain,
( ! [X2,X3] :
( empty(sK28(sK3,X3,X2))
| empty_set = X2
| ~ empty(sF78)
| in(sK28(sK3,X3,X2),X2) )
| ~ spl79_3
| ~ spl79_51
| ~ spl79_77 ),
inference(resolution,[],[f15643,f505]) ).
fof(f15643,plain,
( ! [X0,X1] :
( element(sK28(sK3,X0,X1),sF78)
| empty_set = X1
| in(sK28(sK3,X0,X1),X1) )
| ~ spl79_3
| ~ spl79_51
| ~ spl79_77 ),
inference(resolution,[],[f15637,f831]) ).
fof(f15637,plain,
( ! [X68,X67] :
( in(sK28(sK3,X67,X68),sF78)
| in(sK28(sK3,X67,X68),X68)
| empty_set = X68 )
| ~ spl79_3
| ~ spl79_51
| ~ spl79_77 ),
inference(forward_demodulation,[],[f15636,f13249]) ).
fof(f13249,plain,
( ! [X8] : empty_set = relation_inverse_image(sK3,X8)
| ~ spl79_77 ),
inference(resolution,[],[f2674,f1661]) ).
fof(f1661,plain,
! [X1] :
( ~ disjoint(X1,X1)
| empty_set = X1 ),
inference(superposition,[],[f731,f614]) ).
fof(f614,plain,
! [X0] : set_intersection2(X0,X0) = X0,
inference(cnf_transformation,[],[f284]) ).
fof(f284,plain,
! [X0] : set_intersection2(X0,X0) = X0,
inference(rectify,[],[f91]) ).
fof(f91,axiom,
! [X0,X1] : set_intersection2(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).
fof(f731,plain,
! [X0,X1] :
( set_intersection2(X0,X1) = empty_set
| ~ disjoint(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X1,X0] :
( disjoint(X0,X1)
<=> set_intersection2(X0,X1) = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_xboole_0) ).
fof(f2674,plain,
( ! [X0,X1] : disjoint(relation_inverse_image(sK3,X0),X1)
| ~ spl79_77 ),
inference(avatar_component_clause,[],[f2673]) ).
fof(f15636,plain,
( ! [X68,X67] :
( in(sK28(sK3,X67,X68),sF78)
| in(sK28(sK3,X67,X68),X68)
| relation_inverse_image(sK3,X67) = X68 )
| ~ spl79_3
| ~ spl79_51 ),
inference(subsumption_resolution,[],[f15599,f880]) ).
fof(f15599,plain,
( ! [X68,X67] :
( in(sK28(sK3,X67,X68),X68)
| relation_inverse_image(sK3,X67) = X68
| ~ relation(sK3)
| in(sK28(sK3,X67,X68),sF78) )
| ~ spl79_51 ),
inference(resolution,[],[f622,f3062]) ).
fof(f3062,plain,
( ! [X10,X9] :
( ~ in(ordered_pair(X9,X10),sK3)
| in(X9,sF78) )
| ~ spl79_51 ),
inference(resolution,[],[f2374,f657]) ).
fof(f657,plain,
! [X2,X3,X0,X1] :
( ~ in(ordered_pair(X3,X0),cartesian_product2(X2,X1))
| in(X3,X2) ),
inference(cnf_transformation,[],[f259]) ).
fof(f259,plain,
! [X3,X0,X2,X1] :
( in(ordered_pair(X3,X0),cartesian_product2(X2,X1))
<=> ( in(X0,X1)
& in(X3,X2) ) ),
inference(rectify,[],[f121]) ).
fof(f121,axiom,
! [X1,X3,X2,X0] :
( ( in(X0,X2)
& in(X1,X3) )
<=> in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t106_zfmisc_1) ).
fof(f622,plain,
! [X2,X0,X1] :
( in(ordered_pair(sK28(X0,X1,X2),sK30(X0,X1,X2)),X0)
| in(sK28(X0,X1,X2),X2)
| relation_inverse_image(X0,X1) = X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f462]) ).
fof(f462,plain,
! [X0] :
( ~ relation(X0)
| ! [X1,X2] :
( relation_inverse_image(X0,X1) = X2
<=> ! [X3] :
( ? [X4] :
( in(ordered_pair(X3,X4),X0)
& in(X4,X1) )
<=> in(X3,X2) ) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( relation(X0)
=> ! [X1,X2] :
( relation_inverse_image(X0,X1) = X2
<=> ! [X3] :
( ? [X4] :
( in(ordered_pair(X3,X4),X0)
& in(X4,X1) )
<=> in(X3,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d14_relat_1) ).
fof(f15866,plain,
( spl79_353
| ~ spl79_37
| ~ spl79_3
| ~ spl79_51
| ~ spl79_77 ),
inference(avatar_split_clause,[],[f15645,f2673,f1861,f879,f1067,f15864]) ).
fof(f15864,plain,
( spl79_353
<=> ! [X4,X5] :
( empty_set = X5
| in(sK28(sK3,X4,X5),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_353])]) ).
fof(f15645,plain,
( ! [X4,X5] :
( ~ empty(sF78)
| empty_set = X5
| in(sK28(sK3,X4,X5),X5) )
| ~ spl79_3
| ~ spl79_51
| ~ spl79_77 ),
inference(resolution,[],[f15637,f745]) ).
fof(f15810,plain,
( ~ spl79_37
| spl79_352
| ~ spl79_3
| ~ spl79_51
| spl79_71
| ~ spl79_77 ),
inference(avatar_split_clause,[],[f15803,f2673,f2594,f1861,f879,f15808,f1067]) ).
fof(f15808,plain,
( spl79_352
<=> ! [X1] : empty(sK28(sK3,X1,sF78)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_352])]) ).
fof(f15803,plain,
( ! [X1] :
( empty(sK28(sK3,X1,sF78))
| ~ empty(sF78) )
| ~ spl79_3
| ~ spl79_51
| spl79_71
| ~ spl79_77 ),
inference(resolution,[],[f15649,f505]) ).
fof(f15649,plain,
( ! [X0] : element(sK28(sK3,X0,sF78),sF78)
| ~ spl79_3
| ~ spl79_51
| spl79_71
| ~ spl79_77 ),
inference(resolution,[],[f15647,f831]) ).
fof(f15647,plain,
( ! [X0] : in(sK28(sK3,X0,sF78),sF78)
| ~ spl79_3
| ~ spl79_51
| spl79_71
| ~ spl79_77 ),
inference(subsumption_resolution,[],[f15646,f2595]) ).
fof(f15646,plain,
( ! [X0] :
( in(sK28(sK3,X0,sF78),sF78)
| empty_set = sF78 )
| ~ spl79_3
| ~ spl79_51
| ~ spl79_77 ),
inference(factoring,[],[f15637]) ).
fof(f15736,plain,
( spl79_70
| ~ spl79_351 ),
inference(avatar_contradiction_clause,[],[f15735]) ).
fof(f15735,plain,
( $false
| spl79_70
| ~ spl79_351 ),
inference(subsumption_resolution,[],[f15703,f2565]) ).
fof(f15703,plain,
( empty_set = sF76
| ~ spl79_351 ),
inference(resolution,[],[f15686,f486]) ).
fof(f15686,plain,
( ! [X2] : ~ in(X2,sF76)
| ~ spl79_351 ),
inference(avatar_component_clause,[],[f15685]) ).
fof(f15734,plain,
( spl79_35
| ~ spl79_351 ),
inference(avatar_contradiction_clause,[],[f15733]) ).
fof(f15733,plain,
( $false
| spl79_35
| ~ spl79_351 ),
inference(subsumption_resolution,[],[f15727,f1047]) ).
fof(f15727,plain,
( empty(sF76)
| ~ spl79_351 ),
inference(resolution,[],[f15686,f1545]) ).
fof(f15688,plain,
( ~ spl79_37
| ~ spl79_3
| ~ spl79_51
| spl79_71
| ~ spl79_77 ),
inference(avatar_split_clause,[],[f15651,f2673,f2594,f1861,f879,f1067]) ).
fof(f15651,plain,
( ~ empty(sF78)
| ~ spl79_3
| ~ spl79_51
| spl79_71
| ~ spl79_77 ),
inference(resolution,[],[f15647,f745]) ).
fof(f15687,plain,
( ~ spl79_157
| spl79_351
| ~ spl79_93 ),
inference(avatar_split_clause,[],[f15485,f3150,f15685,f5015]) ).
fof(f15485,plain,
( ! [X2] :
( ~ in(X2,sF76)
| ~ empty(relation_field(sF75)) )
| ~ spl79_93 ),
inference(resolution,[],[f15284,f745]) ).
fof(f15579,plain,
( ~ spl79_350
| ~ spl79_93 ),
inference(avatar_split_clause,[],[f15512,f3150,f15577]) ).
fof(f15577,plain,
( spl79_350
<=> in(sK73(relation_field(sF75)),sF76) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_350])]) ).
fof(f15512,plain,
( ~ in(sK73(relation_field(sF75)),sF76)
| ~ spl79_93 ),
inference(resolution,[],[f15284,f1109]) ).
fof(f15575,plain,
( ~ spl79_349
| ~ spl79_93 ),
inference(avatar_split_clause,[],[f15505,f3150,f15573]) ).
fof(f15573,plain,
( spl79_349
<=> in(sK22(relation_field(sF75)),sF76) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_349])]) ).
fof(f15505,plain,
( ~ in(sK22(relation_field(sF75)),sF76)
| ~ spl79_93 ),
inference(resolution,[],[f15284,f1110]) ).
fof(f15537,plain,
( ~ spl79_348
| ~ spl79_93 ),
inference(avatar_split_clause,[],[f15501,f3150,f15535]) ).
fof(f15535,plain,
( spl79_348
<=> in(powerset(relation_field(sF75)),sF76) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_348])]) ).
fof(f15501,plain,
( ~ in(powerset(relation_field(sF75)),sF76)
| ~ spl79_93 ),
inference(resolution,[],[f15284,f1552]) ).
fof(f15533,plain,
( ~ spl79_347
| ~ spl79_93 ),
inference(avatar_split_clause,[],[f15500,f3150,f15531]) ).
fof(f15531,plain,
( spl79_347
<=> in(singleton(relation_field(sF75)),sF76) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_347])]) ).
fof(f15500,plain,
( ~ in(singleton(relation_field(sF75)),sF76)
| ~ spl79_93 ),
inference(resolution,[],[f15284,f1180]) ).
fof(f15296,plain,
( ~ spl79_346
| ~ spl79_93 ),
inference(avatar_split_clause,[],[f15281,f3150,f15294]) ).
fof(f15294,plain,
( spl79_346
<=> proper_subset(relation_field(sF75),sF76) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_346])]) ).
fof(f15281,plain,
( ~ proper_subset(relation_field(sF75),sF76)
| ~ spl79_93 ),
inference(superposition,[],[f1098,f3151]) ).
fof(f1098,plain,
! [X6,X7] : ~ proper_subset(set_union2(X6,X7),X6),
inference(resolution,[],[f742,f617]) ).
fof(f15292,plain,
( spl79_345
| ~ spl79_93 ),
inference(avatar_split_clause,[],[f15272,f3150,f15290]) ).
fof(f15272,plain,
( subset(sF76,relation_field(sF75))
| ~ spl79_93 ),
inference(superposition,[],[f617,f3151]) ).
fof(f15152,plain,
( ~ spl79_344
| ~ spl79_30
| ~ spl79_20
| spl79_111 ),
inference(avatar_split_clause,[],[f13571,f3525,f951,f1013,f15143]) ).
fof(f15143,plain,
( spl79_344
<=> empty(cartesian_product2(sF76,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_344])]) ).
fof(f3525,plain,
( spl79_111
<=> empty(cartesian_product2(sF76,relation_rng(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_111])]) ).
fof(f13571,plain,
( ~ empty(sK3)
| ~ empty(cartesian_product2(sF76,sK3))
| ~ spl79_20
| spl79_111 ),
inference(superposition,[],[f3526,f1062]) ).
fof(f3526,plain,
( ~ empty(cartesian_product2(sF76,relation_rng(sK3)))
| spl79_111 ),
inference(avatar_component_clause,[],[f3525]) ).
fof(f15145,plain,
( ~ spl79_30
| ~ spl79_344
| ~ spl79_20
| spl79_111 ),
inference(avatar_split_clause,[],[f3605,f3525,f951,f15143,f1013]) ).
fof(f3605,plain,
( ~ empty(cartesian_product2(sF76,sK3))
| ~ empty(sK3)
| ~ spl79_20
| spl79_111 ),
inference(superposition,[],[f3526,f1062]) ).
fof(f15078,plain,
( ~ spl79_37
| spl79_78 ),
inference(avatar_split_clause,[],[f15077,f2709,f1067]) ).
fof(f2709,plain,
( spl79_78
<=> in(sF78,singleton(empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_78])]) ).
fof(f15077,plain,
( ~ empty(sF78)
| spl79_78 ),
inference(resolution,[],[f2712,f1175]) ).
fof(f2712,plain,
( ! [X0] :
( ~ in(sF78,singleton(X0))
| ~ empty(X0) )
| spl79_78 ),
inference(superposition,[],[f2710,f828]) ).
fof(f2710,plain,
( ~ in(sF78,singleton(empty_set))
| spl79_78 ),
inference(avatar_component_clause,[],[f2709]) ).
fof(f15003,plain,
( ~ spl79_37
| spl79_343
| ~ spl79_3
| ~ spl79_27
| ~ spl79_51 ),
inference(avatar_split_clause,[],[f14998,f1861,f987,f879,f15001,f1067]) ).
fof(f15001,plain,
( spl79_343
<=> ! [X1] :
( in(sK63(sK3,X1),X1)
| empty(sK63(sK3,X1))
| sF78 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_343])]) ).
fof(f14998,plain,
( ! [X1] :
( in(sK63(sK3,X1),X1)
| sF78 = X1
| ~ empty(sF78)
| empty(sK63(sK3,X1)) )
| ~ spl79_3
| ~ spl79_27
| ~ spl79_51 ),
inference(resolution,[],[f14989,f505]) ).
fof(f14989,plain,
( ! [X0] :
( element(sK63(sK3,X0),sF78)
| in(sK63(sK3,X0),X0)
| sF78 = X0 )
| ~ spl79_3
| ~ spl79_27
| ~ spl79_51 ),
inference(resolution,[],[f14972,f831]) ).
fof(f14972,plain,
( ! [X48] :
( in(sK63(sK3,X48),sF78)
| in(sK63(sK3,X48),X48)
| sF78 = X48 )
| ~ spl79_3
| ~ spl79_27
| ~ spl79_51 ),
inference(forward_demodulation,[],[f14971,f988]) ).
fof(f14971,plain,
( ! [X48] :
( in(sK63(sK3,X48),X48)
| relation_dom(sK3) = X48
| in(sK63(sK3,X48),sF78) )
| ~ spl79_3
| ~ spl79_51 ),
inference(subsumption_resolution,[],[f14931,f880]) ).
fof(f14931,plain,
( ! [X48] :
( ~ relation(sK3)
| relation_dom(sK3) = X48
| in(sK63(sK3,X48),sF78)
| in(sK63(sK3,X48),X48) )
| ~ spl79_51 ),
inference(resolution,[],[f786,f3062]) ).
fof(f786,plain,
! [X0,X1] :
( in(ordered_pair(sK63(X0,X1),sK64(X0,X1)),X0)
| in(sK63(X0,X1),X1)
| ~ relation(X0)
| relation_dom(X0) = X1 ),
inference(cnf_transformation,[],[f460]) ).
fof(f14996,plain,
( ~ spl79_37
| spl79_342
| ~ spl79_3
| ~ spl79_27
| ~ spl79_51 ),
inference(avatar_split_clause,[],[f14991,f1861,f987,f879,f14994,f1067]) ).
fof(f14994,plain,
( spl79_342
<=> ! [X2] :
( sF78 = X2
| in(sK63(sK3,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_342])]) ).
fof(f14991,plain,
( ! [X2] :
( sF78 = X2
| in(sK63(sK3,X2),X2)
| ~ empty(sF78) )
| ~ spl79_3
| ~ spl79_27
| ~ spl79_51 ),
inference(resolution,[],[f14972,f745]) ).
fof(f14739,plain,
( ~ spl79_30
| ~ spl79_341
| ~ spl79_20
| spl79_306 ),
inference(avatar_split_clause,[],[f13363,f12927,f951,f14737,f1013]) ).
fof(f14737,plain,
( spl79_341
<=> in(sK73(sK3),sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_341])]) ).
fof(f12927,plain,
( spl79_306
<=> in(sK73(relation_rng(sK3)),sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_306])]) ).
fof(f13363,plain,
( ~ in(sK73(sK3),sF74)
| ~ empty(sK3)
| ~ spl79_20
| spl79_306 ),
inference(superposition,[],[f12928,f1062]) ).
fof(f12928,plain,
( ~ in(sK73(relation_rng(sK3)),sF74)
| spl79_306 ),
inference(avatar_component_clause,[],[f12927]) ).
fof(f14735,plain,
( ~ spl79_340
| ~ spl79_30
| ~ spl79_20
| spl79_302 ),
inference(avatar_split_clause,[],[f13362,f12871,f951,f1013,f14733]) ).
fof(f14733,plain,
( spl79_340
<=> in(sK22(sK3),sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_340])]) ).
fof(f12871,plain,
( spl79_302
<=> in(sK22(relation_rng(sK3)),sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_302])]) ).
fof(f13362,plain,
( ~ empty(sK3)
| ~ in(sK22(sK3),sF74)
| ~ spl79_20
| spl79_302 ),
inference(superposition,[],[f12872,f1062]) ).
fof(f12872,plain,
( ~ in(sK22(relation_rng(sK3)),sF74)
| spl79_302 ),
inference(avatar_component_clause,[],[f12871]) ).
fof(f14731,plain,
( ~ spl79_30
| ~ spl79_339
| ~ spl79_20
| spl79_300 ),
inference(avatar_split_clause,[],[f13360,f12846,f951,f14729,f1013]) ).
fof(f14729,plain,
( spl79_339
<=> in(powerset(sK3),sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_339])]) ).
fof(f12846,plain,
( spl79_300
<=> in(powerset(relation_rng(sK3)),sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_300])]) ).
fof(f13360,plain,
( ~ in(powerset(sK3),sF74)
| ~ empty(sK3)
| ~ spl79_20
| spl79_300 ),
inference(superposition,[],[f12847,f1062]) ).
fof(f12847,plain,
( ~ in(powerset(relation_rng(sK3)),sF74)
| spl79_300 ),
inference(avatar_component_clause,[],[f12846]) ).
fof(f14694,plain,
( ~ spl79_30
| ~ spl79_338
| ~ spl79_20
| spl79_299 ),
inference(avatar_split_clause,[],[f13359,f12842,f951,f14692,f1013]) ).
fof(f14692,plain,
( spl79_338
<=> in(singleton(sK3),sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_338])]) ).
fof(f12842,plain,
( spl79_299
<=> in(singleton(relation_rng(sK3)),sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_299])]) ).
fof(f13359,plain,
( ~ in(singleton(sK3),sF74)
| ~ empty(sK3)
| ~ spl79_20
| spl79_299 ),
inference(superposition,[],[f12843,f1062]) ).
fof(f12843,plain,
( ~ in(singleton(relation_rng(sK3)),sF74)
| spl79_299 ),
inference(avatar_component_clause,[],[f12842]) ).
fof(f14633,plain,
( spl79_34
| spl79_333
| ~ spl79_106 ),
inference(avatar_split_clause,[],[f13705,f3449,f14377,f1034]) ).
fof(f1034,plain,
( spl79_34
<=> relation(sF76) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_34])]) ).
fof(f14377,plain,
( spl79_333
<=> in(sK49(sF76),sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_333])]) ).
fof(f3449,plain,
( spl79_106
<=> subset(sF76,sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_106])]) ).
fof(f13705,plain,
( in(sK49(sF76),sF74)
| relation(sF76)
| ~ spl79_106 ),
inference(resolution,[],[f3454,f737]) ).
fof(f3454,plain,
( ! [X0] :
( ~ in(X0,sF76)
| in(X0,sF74) )
| ~ spl79_106 ),
inference(resolution,[],[f3450,f529]) ).
fof(f3450,plain,
( subset(sF76,sF74)
| ~ spl79_106 ),
inference(avatar_component_clause,[],[f3449]) ).
fof(f14583,plain,
( ~ spl79_32
| ~ spl79_327 ),
inference(avatar_split_clause,[],[f14582,f14139,f1020]) ).
fof(f14139,plain,
( spl79_327
<=> element(ordered_pair(sK4,sF77),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_327])]) ).
fof(f14582,plain,
( ~ empty(sK5)
| ~ spl79_327 ),
inference(subsumption_resolution,[],[f14581,f767]) ).
fof(f14581,plain,
( ~ empty(sK5)
| empty(ordered_pair(sK4,sF77))
| ~ spl79_327 ),
inference(resolution,[],[f14140,f505]) ).
fof(f14140,plain,
( element(ordered_pair(sK4,sF77),sK5)
| ~ spl79_327 ),
inference(avatar_component_clause,[],[f14139]) ).
fof(f14546,plain,
( ~ spl79_32
| ~ spl79_316 ),
inference(avatar_split_clause,[],[f14519,f13851,f1020]) ).
fof(f14519,plain,
( ~ empty(sK5)
| ~ spl79_316 ),
inference(resolution,[],[f13852,f745]) ).
fof(f14477,plain,
( spl79_316
| ~ spl79_1
| ~ spl79_2
| ~ spl79_6
| ~ spl79_25
| ~ spl79_39 ),
inference(avatar_split_clause,[],[f14465,f1077,f979,f890,f875,f871,f13851]) ).
fof(f14465,plain,
( in(ordered_pair(sK4,sF77),sK5)
| ~ spl79_1
| ~ spl79_2
| ~ spl79_6
| ~ spl79_25
| ~ spl79_39 ),
inference(subsumption_resolution,[],[f14464,f891]) ).
fof(f14464,plain,
( in(ordered_pair(sK4,sF77),sK5)
| ~ in(sK4,sF74)
| ~ spl79_1
| ~ spl79_2
| ~ spl79_25
| ~ spl79_39 ),
inference(forward_demodulation,[],[f14463,f980]) ).
fof(f14463,plain,
( ~ in(sK4,relation_dom(sK5))
| in(ordered_pair(sK4,sF77),sK5)
| ~ spl79_1
| ~ spl79_2
| ~ spl79_39 ),
inference(subsumption_resolution,[],[f14462,f872]) ).
fof(f14462,plain,
( in(ordered_pair(sK4,sF77),sK5)
| ~ relation(sK5)
| ~ in(sK4,relation_dom(sK5))
| ~ spl79_2
| ~ spl79_39 ),
inference(subsumption_resolution,[],[f14452,f876]) ).
fof(f14452,plain,
( ~ function(sK5)
| ~ in(sK4,relation_dom(sK5))
| ~ relation(sK5)
| in(ordered_pair(sK4,sF77),sK5)
| ~ spl79_39 ),
inference(superposition,[],[f13778,f1078]) ).
fof(f14443,plain,
( spl79_316
| ~ spl79_1
| ~ spl79_2
| ~ spl79_6
| ~ spl79_25
| ~ spl79_39 ),
inference(avatar_split_clause,[],[f14441,f1077,f979,f890,f875,f871,f13851]) ).
fof(f14441,plain,
( in(ordered_pair(sK4,sF77),sK5)
| ~ spl79_1
| ~ spl79_2
| ~ spl79_6
| ~ spl79_25
| ~ spl79_39 ),
inference(equality_resolution,[],[f13786]) ).
fof(f13786,plain,
( ! [X0] :
( sF77 != X0
| in(ordered_pair(sK4,X0),sK5) )
| ~ spl79_1
| ~ spl79_2
| ~ spl79_6
| ~ spl79_25
| ~ spl79_39 ),
inference(subsumption_resolution,[],[f13785,f891]) ).
fof(f13785,plain,
( ! [X0] :
( ~ in(sK4,sF74)
| in(ordered_pair(sK4,X0),sK5)
| sF77 != X0 )
| ~ spl79_1
| ~ spl79_2
| ~ spl79_25
| ~ spl79_39 ),
inference(forward_demodulation,[],[f13784,f980]) ).
fof(f13784,plain,
( ! [X0] :
( in(ordered_pair(sK4,X0),sK5)
| sF77 != X0
| ~ in(sK4,relation_dom(sK5)) )
| ~ spl79_1
| ~ spl79_2
| ~ spl79_39 ),
inference(subsumption_resolution,[],[f13783,f872]) ).
fof(f13783,plain,
( ! [X0] :
( ~ in(sK4,relation_dom(sK5))
| sF77 != X0
| in(ordered_pair(sK4,X0),sK5)
| ~ relation(sK5) )
| ~ spl79_2
| ~ spl79_39 ),
inference(subsumption_resolution,[],[f13779,f876]) ).
fof(f13779,plain,
( ! [X0] :
( ~ function(sK5)
| in(ordered_pair(sK4,X0),sK5)
| ~ relation(sK5)
| sF77 != X0
| ~ in(sK4,relation_dom(sK5)) )
| ~ spl79_39 ),
inference(superposition,[],[f770,f1078]) ).
fof(f14442,plain,
( spl79_316
| ~ spl79_1
| ~ spl79_2
| ~ spl79_6
| ~ spl79_25
| ~ spl79_39 ),
inference(avatar_split_clause,[],[f14440,f1077,f979,f890,f875,f871,f13851]) ).
fof(f14440,plain,
( in(ordered_pair(sK4,sF77),sK5)
| ~ spl79_1
| ~ spl79_2
| ~ spl79_6
| ~ spl79_25
| ~ spl79_39 ),
inference(gaussian_variable_elimination,[],[f13786]) ).
fof(f14439,plain,
( ~ spl79_9
| spl79_285
| ~ spl79_336 ),
inference(avatar_contradiction_clause,[],[f14438]) ).
fof(f14438,plain,
( $false
| ~ spl79_9
| spl79_285
| ~ spl79_336 ),
inference(subsumption_resolution,[],[f14430,f905]) ).
fof(f14430,plain,
( ~ empty(empty_set)
| spl79_285
| ~ spl79_336 ),
inference(backward_demodulation,[],[f13441,f14412]) ).
fof(f14412,plain,
( empty_set = sK4
| ~ spl79_336 ),
inference(avatar_component_clause,[],[f14411]) ).
fof(f14411,plain,
( spl79_336
<=> empty_set = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl79_336])]) ).
fof(f13441,plain,
( ~ empty(sK4)
| spl79_285 ),
inference(avatar_component_clause,[],[f12540]) ).
fof(f12540,plain,
( spl79_285
<=> empty(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_285])]) ).
fof(f14416,plain,
( spl79_336
| ~ spl79_337
| spl79_295 ),
inference(avatar_split_clause,[],[f13221,f12816,f14414,f14411]) ).
fof(f14414,plain,
( spl79_337
<=> empty(sK0(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_337])]) ).
fof(f12816,plain,
( spl79_295
<=> in(empty_set,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_295])]) ).
fof(f13221,plain,
( ~ empty(sK0(sK4))
| empty_set = sK4
| spl79_295 ),
inference(resolution,[],[f12823,f486]) ).
fof(f12823,plain,
( ! [X0] :
( ~ in(X0,sK4)
| ~ empty(X0) )
| spl79_295 ),
inference(superposition,[],[f12817,f828]) ).
fof(f12817,plain,
( ~ in(empty_set,sK4)
| spl79_295 ),
inference(avatar_component_clause,[],[f12816]) ).
fof(f14409,plain,
( ~ spl79_332
| ~ spl79_30
| ~ spl79_20
| spl79_105 ),
inference(avatar_split_clause,[],[f13193,f3391,f951,f1013,f14373]) ).
fof(f14373,plain,
( spl79_332
<=> proper_subset(sK3,relation_rng(sF75)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_332])]) ).
fof(f3391,plain,
( spl79_105
<=> proper_subset(relation_rng(sK3),relation_rng(sF75)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_105])]) ).
fof(f13193,plain,
( ~ empty(sK3)
| ~ proper_subset(sK3,relation_rng(sF75))
| ~ spl79_20
| spl79_105 ),
inference(superposition,[],[f3392,f1062]) ).
fof(f3392,plain,
( ~ proper_subset(relation_rng(sK3),relation_rng(sF75))
| spl79_105 ),
inference(avatar_component_clause,[],[f3391]) ).
fof(f14408,plain,
( spl79_335
| ~ spl79_30
| ~ spl79_20
| ~ spl79_104 ),
inference(avatar_split_clause,[],[f12046,f3378,f951,f1013,f14406]) ).
fof(f14406,plain,
( spl79_335
<=> ! [X0] : subset(relation_rng(sF75),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_335])]) ).
fof(f3378,plain,
( spl79_104
<=> subset(relation_rng(sF75),relation_rng(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_104])]) ).
fof(f12046,plain,
( ! [X0] :
( ~ empty(sK3)
| subset(relation_rng(sF75),X0) )
| ~ spl79_20
| ~ spl79_104 ),
inference(subsumption_resolution,[],[f10259,f1057]) ).
fof(f10259,plain,
( ! [X0] :
( subset(relation_rng(sF75),X0)
| ~ subset(sK3,X0)
| ~ empty(sK3) )
| ~ spl79_20
| ~ spl79_104 ),
inference(superposition,[],[f3385,f1062]) ).
fof(f3385,plain,
( ! [X1] :
( ~ subset(relation_rng(sK3),X1)
| subset(relation_rng(sF75),X1) )
| ~ spl79_104 ),
inference(resolution,[],[f3379,f747]) ).
fof(f3379,plain,
( subset(relation_rng(sF75),relation_rng(sK3))
| ~ spl79_104 ),
inference(avatar_component_clause,[],[f3378]) ).
fof(f14388,plain,
( spl79_334
| ~ spl79_35 ),
inference(avatar_split_clause,[],[f14383,f1046,f14386]) ).
fof(f14386,plain,
( spl79_334
<=> function(sF76) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_334])]) ).
fof(f14383,plain,
( function(sF76)
| ~ spl79_35 ),
inference(resolution,[],[f14380,f613]) ).
fof(f613,plain,
! [X0] :
( ~ empty(X0)
| function(X0) ),
inference(cnf_transformation,[],[f364]) ).
fof(f364,plain,
! [X0] :
( function(X0)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( empty(X0)
=> function(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_1) ).
fof(f14380,plain,
( empty(sF76)
| ~ spl79_35 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f14384,plain,
( spl79_34
| ~ spl79_35 ),
inference(avatar_split_clause,[],[f14382,f1046,f1034]) ).
fof(f14382,plain,
( relation(sF76)
| ~ spl79_35 ),
inference(resolution,[],[f14380,f709]) ).
fof(f14381,plain,
( spl79_274
| spl79_35
| ~ spl79_106 ),
inference(avatar_split_clause,[],[f3628,f3449,f1046,f12167]) ).
fof(f12167,plain,
( spl79_274
<=> in(sK53(sF76),sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_274])]) ).
fof(f3628,plain,
( empty(sF76)
| in(sK53(sF76),sF74)
| ~ spl79_106 ),
inference(resolution,[],[f3454,f1545]) ).
fof(f14379,plain,
( spl79_333
| spl79_34
| ~ spl79_106 ),
inference(avatar_split_clause,[],[f3627,f3449,f1034,f14377]) ).
fof(f3627,plain,
( relation(sF76)
| in(sK49(sF76),sF74)
| ~ spl79_106 ),
inference(resolution,[],[f3454,f737]) ).
fof(f14375,plain,
( ~ spl79_30
| ~ spl79_332
| ~ spl79_20
| spl79_105 ),
inference(avatar_split_clause,[],[f3394,f3391,f951,f14373,f1013]) ).
fof(f3394,plain,
( ~ proper_subset(sK3,relation_rng(sF75))
| ~ empty(sK3)
| ~ spl79_20
| spl79_105 ),
inference(superposition,[],[f3392,f1062]) ).
fof(f14345,plain,
( ~ spl79_331
| ~ spl79_33
| ~ spl79_20
| spl79_52 ),
inference(avatar_split_clause,[],[f1872,f1869,f951,f1031,f14343]) ).
fof(f14343,plain,
( spl79_331
<=> empty(cartesian_product2(sF76,sF75)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_331])]) ).
fof(f1869,plain,
( spl79_52
<=> empty(cartesian_product2(sF76,relation_rng(sF75))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_52])]) ).
fof(f1872,plain,
( ~ empty(sF75)
| ~ empty(cartesian_product2(sF76,sF75))
| ~ spl79_20
| spl79_52 ),
inference(superposition,[],[f1870,f1062]) ).
fof(f1870,plain,
( ~ empty(cartesian_product2(sF76,relation_rng(sF75)))
| spl79_52 ),
inference(avatar_component_clause,[],[f1869]) ).
fof(f14341,plain,
( ~ spl79_35
| spl79_129
| ~ spl79_26
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f13126,f1594,f983,f4138,f1046]) ).
fof(f4138,plain,
( spl79_129
<=> ! [X21] : empty(relation_inverse_image(sF75,X21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_129])]) ).
fof(f13126,plain,
( ! [X6] :
( empty(relation_inverse_image(sF75,X6))
| ~ empty(sF76) )
| ~ spl79_26
| ~ spl79_48 ),
inference(resolution,[],[f3550,f1310]) ).
fof(f3550,plain,
( ! [X1] : subset(relation_inverse_image(sF75,X1),sF76)
| ~ spl79_26
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f3546,f1595]) ).
fof(f3546,plain,
( ! [X1] :
( ~ relation(sF75)
| subset(relation_inverse_image(sF75,X1),sF76) )
| ~ spl79_26 ),
inference(superposition,[],[f676,f984]) ).
fof(f14340,plain,
( ~ spl79_30
| spl79_314
| ~ spl79_20
| ~ spl79_104 ),
inference(avatar_split_clause,[],[f13121,f3378,f951,f13678,f1013]) ).
fof(f13678,plain,
( spl79_314
<=> subset(relation_rng(sF75),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_314])]) ).
fof(f13121,plain,
( subset(relation_rng(sF75),sK3)
| ~ empty(sK3)
| ~ spl79_20
| ~ spl79_104 ),
inference(superposition,[],[f3379,f1062]) ).
fof(f14310,plain,
( spl79_129
| ~ spl79_35
| ~ spl79_26
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f12465,f1594,f983,f1046,f4138]) ).
fof(f12465,plain,
( ! [X6] :
( ~ empty(sF76)
| empty(relation_inverse_image(sF75,X6)) )
| ~ spl79_26
| ~ spl79_48 ),
inference(resolution,[],[f3550,f1310]) ).
fof(f14308,plain,
( spl79_129
| ~ spl79_35
| ~ spl79_26
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f3559,f1594,f983,f1046,f4138]) ).
fof(f3559,plain,
( ! [X6] :
( ~ empty(sF76)
| empty(relation_inverse_image(sF75,X6)) )
| ~ spl79_26
| ~ spl79_48 ),
inference(resolution,[],[f3550,f1310]) ).
fof(f14181,plain,
( ~ spl79_32
| ~ spl79_330
| ~ spl79_20
| spl79_322 ),
inference(avatar_split_clause,[],[f14057,f13977,f951,f14179,f1020]) ).
fof(f14179,plain,
( spl79_330
<=> in(sK5,sF77) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_330])]) ).
fof(f13977,plain,
( spl79_322
<=> in(relation_rng(sK5),sF77) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_322])]) ).
fof(f14057,plain,
( ~ in(sK5,sF77)
| ~ empty(sK5)
| ~ spl79_20
| spl79_322 ),
inference(superposition,[],[f13978,f1062]) ).
fof(f13978,plain,
( ~ in(relation_rng(sK5),sF77)
| spl79_322 ),
inference(avatar_component_clause,[],[f13977]) ).
fof(f14177,plain,
( ~ spl79_32
| spl79_329
| ~ spl79_20
| ~ spl79_321 ),
inference(avatar_split_clause,[],[f14056,f13973,f951,f14175,f1020]) ).
fof(f14175,plain,
( spl79_329
<=> element(sF77,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_329])]) ).
fof(f13973,plain,
( spl79_321
<=> element(sF77,relation_rng(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_321])]) ).
fof(f14056,plain,
( element(sF77,sK5)
| ~ empty(sK5)
| ~ spl79_20
| ~ spl79_321 ),
inference(superposition,[],[f13974,f1062]) ).
fof(f13974,plain,
( element(sF77,relation_rng(sK5))
| ~ spl79_321 ),
inference(avatar_component_clause,[],[f13973]) ).
fof(f14149,plain,
( ~ spl79_32
| ~ spl79_327 ),
inference(avatar_split_clause,[],[f14148,f14139,f1020]) ).
fof(f14148,plain,
( ~ empty(sK5)
| ~ spl79_327 ),
inference(subsumption_resolution,[],[f14147,f767]) ).
fof(f14147,plain,
( ~ empty(sK5)
| empty(ordered_pair(sK4,sF77))
| ~ spl79_327 ),
inference(resolution,[],[f14140,f505]) ).
fof(f14145,plain,
( ~ spl79_328
| ~ spl79_316 ),
inference(avatar_split_clause,[],[f13939,f13851,f14143]) ).
fof(f14143,plain,
( spl79_328
<=> in(sK5,ordered_pair(sK4,sF77)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_328])]) ).
fof(f13939,plain,
( ~ in(sK5,ordered_pair(sK4,sF77))
| ~ spl79_316 ),
inference(resolution,[],[f13852,f498]) ).
fof(f14141,plain,
( spl79_327
| ~ spl79_316 ),
inference(avatar_split_clause,[],[f13938,f13851,f14139]) ).
fof(f13938,plain,
( element(ordered_pair(sK4,sF77),sK5)
| ~ spl79_316 ),
inference(resolution,[],[f13852,f831]) ).
fof(f14000,plain,
( ~ spl79_326
| ~ spl79_320 ),
inference(avatar_split_clause,[],[f13970,f13957,f13998]) ).
fof(f13998,plain,
( spl79_326
<=> in(relation_field(sK5),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_326])]) ).
fof(f13957,plain,
( spl79_320
<=> in(sK4,relation_field(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_320])]) ).
fof(f13970,plain,
( ~ in(relation_field(sK5),sK4)
| ~ spl79_320 ),
inference(resolution,[],[f13958,f498]) ).
fof(f13958,plain,
( in(sK4,relation_field(sK5))
| ~ spl79_320 ),
inference(avatar_component_clause,[],[f13957]) ).
fof(f13996,plain,
( spl79_325
| ~ spl79_320 ),
inference(avatar_split_clause,[],[f13969,f13957,f13994]) ).
fof(f13994,plain,
( spl79_325
<=> element(sK4,relation_field(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_325])]) ).
fof(f13969,plain,
( element(sK4,relation_field(sK5))
| ~ spl79_320 ),
inference(resolution,[],[f13958,f831]) ).
fof(f13992,plain,
( ~ spl79_324
| ~ spl79_319 ),
inference(avatar_split_clause,[],[f13967,f13953,f13990]) ).
fof(f13990,plain,
( spl79_324
<=> in(relation_field(sK5),sF77) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_324])]) ).
fof(f13953,plain,
( spl79_319
<=> in(sF77,relation_field(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_319])]) ).
fof(f13967,plain,
( ~ in(relation_field(sK5),sF77)
| ~ spl79_319 ),
inference(resolution,[],[f13954,f498]) ).
fof(f13954,plain,
( in(sF77,relation_field(sK5))
| ~ spl79_319 ),
inference(avatar_component_clause,[],[f13953]) ).
fof(f13983,plain,
( spl79_323
| ~ spl79_319 ),
inference(avatar_split_clause,[],[f13966,f13953,f13981]) ).
fof(f13981,plain,
( spl79_323
<=> element(sF77,relation_field(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_323])]) ).
fof(f13966,plain,
( element(sF77,relation_field(sK5))
| ~ spl79_319 ),
inference(resolution,[],[f13954,f831]) ).
fof(f13979,plain,
( ~ spl79_322
| ~ spl79_318 ),
inference(avatar_split_clause,[],[f13961,f13949,f13977]) ).
fof(f13949,plain,
( spl79_318
<=> in(sF77,relation_rng(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_318])]) ).
fof(f13961,plain,
( ~ in(relation_rng(sK5),sF77)
| ~ spl79_318 ),
inference(resolution,[],[f13950,f498]) ).
fof(f13950,plain,
( in(sF77,relation_rng(sK5))
| ~ spl79_318 ),
inference(avatar_component_clause,[],[f13949]) ).
fof(f13975,plain,
( spl79_321
| ~ spl79_318 ),
inference(avatar_split_clause,[],[f13960,f13949,f13973]) ).
fof(f13960,plain,
( element(sF77,relation_rng(sK5))
| ~ spl79_318 ),
inference(resolution,[],[f13950,f831]) ).
fof(f13965,plain,
( ~ spl79_32
| ~ spl79_20
| ~ spl79_318 ),
inference(avatar_split_clause,[],[f13964,f13949,f951,f1020]) ).
fof(f13964,plain,
( ~ empty(sK5)
| ~ spl79_20
| ~ spl79_318 ),
inference(subsumption_resolution,[],[f13963,f745]) ).
fof(f13963,plain,
( in(sF77,sK5)
| ~ empty(sK5)
| ~ spl79_20
| ~ spl79_318 ),
inference(superposition,[],[f13950,f1062]) ).
fof(f13959,plain,
( spl79_320
| ~ spl79_1
| ~ spl79_316 ),
inference(avatar_split_clause,[],[f13945,f13851,f871,f13957]) ).
fof(f13945,plain,
( in(sK4,relation_field(sK5))
| ~ spl79_1
| ~ spl79_316 ),
inference(subsumption_resolution,[],[f13936,f872]) ).
fof(f13936,plain,
( in(sK4,relation_field(sK5))
| ~ relation(sK5)
| ~ spl79_316 ),
inference(resolution,[],[f13852,f525]) ).
fof(f13955,plain,
( spl79_319
| ~ spl79_1
| ~ spl79_316 ),
inference(avatar_split_clause,[],[f13944,f13851,f871,f13953]) ).
fof(f13944,plain,
( in(sF77,relation_field(sK5))
| ~ spl79_1
| ~ spl79_316 ),
inference(subsumption_resolution,[],[f13937,f872]) ).
fof(f13937,plain,
( in(sF77,relation_field(sK5))
| ~ relation(sK5)
| ~ spl79_316 ),
inference(resolution,[],[f13852,f524]) ).
fof(f13951,plain,
( spl79_318
| ~ spl79_1
| ~ spl79_316 ),
inference(avatar_split_clause,[],[f13943,f13851,f871,f13949]) ).
fof(f13943,plain,
( in(sF77,relation_rng(sK5))
| ~ spl79_1
| ~ spl79_316 ),
inference(subsumption_resolution,[],[f13934,f872]) ).
fof(f13934,plain,
( in(sF77,relation_rng(sK5))
| ~ relation(sK5)
| ~ spl79_316 ),
inference(resolution,[],[f13852,f825]) ).
fof(f13947,plain,
( ~ spl79_32
| ~ spl79_316 ),
inference(avatar_split_clause,[],[f13940,f13851,f1020]) ).
fof(f13940,plain,
( ~ empty(sK5)
| ~ spl79_316 ),
inference(resolution,[],[f13852,f745]) ).
fof(f13882,plain,
( spl79_316
| ~ spl79_1
| ~ spl79_2
| ~ spl79_6
| ~ spl79_25
| ~ spl79_39 ),
inference(avatar_split_clause,[],[f13855,f1077,f979,f890,f875,f871,f13851]) ).
fof(f13855,plain,
( in(ordered_pair(sK4,sF77),sK5)
| ~ spl79_1
| ~ spl79_2
| ~ spl79_6
| ~ spl79_25
| ~ spl79_39 ),
inference(equality_resolution,[],[f13786]) ).
fof(f13881,plain,
( spl79_316
| ~ spl79_1
| ~ spl79_2
| ~ spl79_6
| ~ spl79_25
| ~ spl79_39 ),
inference(avatar_split_clause,[],[f13854,f1077,f979,f890,f875,f871,f13851]) ).
fof(f13854,plain,
( in(ordered_pair(sK4,sF77),sK5)
| ~ spl79_1
| ~ spl79_2
| ~ spl79_6
| ~ spl79_25
| ~ spl79_39 ),
inference(gaussian_variable_elimination,[],[f13786]) ).
fof(f13880,plain,
( ~ spl79_317
| ~ spl79_315 ),
inference(avatar_split_clause,[],[f13731,f13723,f13878]) ).
fof(f13878,plain,
( spl79_317
<=> proper_subset(relation_field(sK5),sF76) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_317])]) ).
fof(f13723,plain,
( spl79_315
<=> subset(sF76,relation_field(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_315])]) ).
fof(f13731,plain,
( ~ proper_subset(relation_field(sK5),sF76)
| ~ spl79_315 ),
inference(resolution,[],[f13724,f742]) ).
fof(f13724,plain,
( subset(sF76,relation_field(sK5))
| ~ spl79_315 ),
inference(avatar_component_clause,[],[f13723]) ).
fof(f13853,plain,
( spl79_316
| ~ spl79_1
| ~ spl79_2
| ~ spl79_6
| ~ spl79_25
| ~ spl79_39 ),
inference(avatar_split_clause,[],[f13840,f1077,f979,f890,f875,f871,f13851]) ).
fof(f13840,plain,
( in(ordered_pair(sK4,sF77),sK5)
| ~ spl79_1
| ~ spl79_2
| ~ spl79_6
| ~ spl79_25
| ~ spl79_39 ),
inference(subsumption_resolution,[],[f13839,f891]) ).
fof(f13839,plain,
( in(ordered_pair(sK4,sF77),sK5)
| ~ in(sK4,sF74)
| ~ spl79_1
| ~ spl79_2
| ~ spl79_25
| ~ spl79_39 ),
inference(forward_demodulation,[],[f13838,f980]) ).
fof(f13838,plain,
( ~ in(sK4,relation_dom(sK5))
| in(ordered_pair(sK4,sF77),sK5)
| ~ spl79_1
| ~ spl79_2
| ~ spl79_39 ),
inference(subsumption_resolution,[],[f13837,f872]) ).
fof(f13837,plain,
( ~ in(sK4,relation_dom(sK5))
| in(ordered_pair(sK4,sF77),sK5)
| ~ relation(sK5)
| ~ spl79_2
| ~ spl79_39 ),
inference(subsumption_resolution,[],[f13824,f876]) ).
fof(f13824,plain,
( ~ function(sK5)
| in(ordered_pair(sK4,sF77),sK5)
| ~ in(sK4,relation_dom(sK5))
| ~ relation(sK5)
| ~ spl79_39 ),
inference(superposition,[],[f13778,f1078]) ).
fof(f13725,plain,
( spl79_315
| ~ spl79_95
| ~ spl79_106 ),
inference(avatar_split_clause,[],[f13721,f3449,f3174,f13723]) ).
fof(f3174,plain,
( spl79_95
<=> subset(sF74,relation_field(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_95])]) ).
fof(f13721,plain,
( subset(sF76,relation_field(sK5))
| ~ spl79_95
| ~ spl79_106 ),
inference(resolution,[],[f3455,f3175]) ).
fof(f3175,plain,
( subset(sF74,relation_field(sK5))
| ~ spl79_95 ),
inference(avatar_component_clause,[],[f3174]) ).
fof(f3455,plain,
( ! [X1] :
( ~ subset(sF74,X1)
| subset(sF76,X1) )
| ~ spl79_106 ),
inference(resolution,[],[f3450,f747]) ).
fof(f13680,plain,
( ~ spl79_30
| spl79_314
| ~ spl79_20
| ~ spl79_104 ),
inference(avatar_split_clause,[],[f3389,f3378,f951,f13678,f1013]) ).
fof(f3389,plain,
( subset(relation_rng(sF75),sK3)
| ~ empty(sK3)
| ~ spl79_20
| ~ spl79_104 ),
inference(superposition,[],[f3379,f1062]) ).
fof(f13570,plain,
( spl79_313
| ~ spl79_37
| ~ spl79_242 ),
inference(avatar_split_clause,[],[f12323,f11040,f1067,f13568]) ).
fof(f13568,plain,
( spl79_313
<=> empty(sK40(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_313])]) ).
fof(f11040,plain,
( spl79_242
<=> element(sK40(sK3),sF78) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_242])]) ).
fof(f12323,plain,
( ~ empty(sF78)
| empty(sK40(sK3))
| ~ spl79_242 ),
inference(resolution,[],[f11041,f505]) ).
fof(f11041,plain,
( element(sK40(sK3),sF78)
| ~ spl79_242 ),
inference(avatar_component_clause,[],[f11040]) ).
fof(f13553,plain,
( ~ spl79_30
| ~ spl79_312
| ~ spl79_20
| spl79_298 ),
inference(avatar_split_clause,[],[f12924,f12838,f951,f13551,f1013]) ).
fof(f13551,plain,
( spl79_312
<=> in(sK3,sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_312])]) ).
fof(f12838,plain,
( spl79_298
<=> in(relation_rng(sK3),sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_298])]) ).
fof(f12924,plain,
( ~ in(sK3,sF74)
| ~ empty(sK3)
| ~ spl79_20
| spl79_298 ),
inference(superposition,[],[f12839,f1062]) ).
fof(f12839,plain,
( ~ in(relation_rng(sK3),sF74)
| spl79_298 ),
inference(avatar_component_clause,[],[f12838]) ).
fof(f13442,plain,
( ~ spl79_285
| spl79_311 ),
inference(avatar_split_clause,[],[f13417,f13414,f12540]) ).
fof(f13414,plain,
( spl79_311
<=> empty(sK53(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_311])]) ).
fof(f13417,plain,
( ~ empty(sK4)
| spl79_311 ),
inference(resolution,[],[f13415,f1224]) ).
fof(f1224,plain,
! [X9] :
( empty(sK53(X9))
| ~ empty(X9) ),
inference(resolution,[],[f505,f746]) ).
fof(f13415,plain,
( ~ empty(sK53(sK4))
| spl79_311 ),
inference(avatar_component_clause,[],[f13414]) ).
fof(f13416,plain,
( spl79_285
| ~ spl79_311
| spl79_295 ),
inference(avatar_split_clause,[],[f13236,f12816,f13414,f12540]) ).
fof(f13236,plain,
( ~ empty(sK53(sK4))
| empty(sK4)
| spl79_295 ),
inference(resolution,[],[f12823,f1545]) ).
fof(f13412,plain,
( spl79_286
| ~ spl79_310
| spl79_295 ),
inference(avatar_split_clause,[],[f13235,f12816,f13410,f12546]) ).
fof(f12546,plain,
( spl79_286
<=> relation(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_286])]) ).
fof(f13410,plain,
( spl79_310
<=> empty(sK49(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_310])]) ).
fof(f13235,plain,
( ~ empty(sK49(sK4))
| relation(sK4)
| spl79_295 ),
inference(resolution,[],[f12823,f737]) ).
fof(f13245,plain,
( ~ spl79_309
| ~ spl79_32
| ~ spl79_20
| spl79_289 ),
inference(avatar_split_clause,[],[f12996,f12637,f951,f1020,f13243]) ).
fof(f13243,plain,
( spl79_309
<=> subset(sF78,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_309])]) ).
fof(f12637,plain,
( spl79_289
<=> subset(sF78,relation_rng(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_289])]) ).
fof(f12996,plain,
( ~ empty(sK5)
| ~ subset(sF78,sK5)
| ~ spl79_20
| spl79_289 ),
inference(superposition,[],[f12638,f1062]) ).
fof(f12638,plain,
( ~ subset(sF78,relation_rng(sK5))
| spl79_289 ),
inference(avatar_component_clause,[],[f12637]) ).
fof(f12998,plain,
( spl79_33
| ~ spl79_35
| ~ spl79_26
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f12965,f1594,f983,f1046,f1031]) ).
fof(f12965,plain,
( ~ empty(sF76)
| empty(sF75)
| ~ spl79_26
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f12947,f1595]) ).
fof(f12947,plain,
( ~ empty(sF76)
| ~ relation(sF75)
| empty(sF75)
| ~ spl79_26 ),
inference(superposition,[],[f631,f984]) ).
fof(f631,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| empty(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f483]) ).
fof(f483,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| empty(X0)
| ~ relation(X0) ),
inference(flattening,[],[f482]) ).
fof(f482,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,axiom,
! [X0] :
( ( relation(X0)
& ~ empty(X0) )
=> ~ empty(relation_dom(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_relat_1) ).
fof(f12997,plain,
( ~ spl79_37
| spl79_289 ),
inference(avatar_split_clause,[],[f12995,f12637,f1067]) ).
fof(f12995,plain,
( ~ empty(sF78)
| spl79_289 ),
inference(resolution,[],[f12638,f1057]) ).
fof(f12940,plain,
( spl79_129
| ~ spl79_9
| ~ spl79_26
| ~ spl79_48
| ~ spl79_70 ),
inference(avatar_split_clause,[],[f12864,f2564,f1594,f983,f904,f4138]) ).
fof(f12864,plain,
( ! [X9] : empty(relation_inverse_image(sF75,X9))
| ~ spl79_9
| ~ spl79_26
| ~ spl79_48
| ~ spl79_70 ),
inference(subsumption_resolution,[],[f12859,f905]) ).
fof(f12859,plain,
( ! [X9] :
( ~ empty(empty_set)
| empty(relation_inverse_image(sF75,X9)) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_70 ),
inference(resolution,[],[f12808,f1310]) ).
fof(f12808,plain,
( ! [X1] : subset(relation_inverse_image(sF75,X1),empty_set)
| ~ spl79_26
| ~ spl79_48
| ~ spl79_70 ),
inference(backward_demodulation,[],[f3550,f12796]) ).
fof(f12796,plain,
( empty_set = sF76
| ~ spl79_70 ),
inference(avatar_component_clause,[],[f2564]) ).
fof(f12939,plain,
( spl79_33
| ~ spl79_9
| ~ spl79_48
| ~ spl79_303 ),
inference(avatar_split_clause,[],[f12900,f12875,f1594,f904,f1031]) ).
fof(f12875,plain,
( spl79_303
<=> empty_set = relation_dom(sF75) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_303])]) ).
fof(f12900,plain,
( empty(sF75)
| ~ spl79_9
| ~ spl79_48
| ~ spl79_303 ),
inference(subsumption_resolution,[],[f12899,f1595]) ).
fof(f12899,plain,
( ~ relation(sF75)
| empty(sF75)
| ~ spl79_9
| ~ spl79_303 ),
inference(subsumption_resolution,[],[f12884,f905]) ).
fof(f12884,plain,
( ~ empty(empty_set)
| empty(sF75)
| ~ relation(sF75)
| ~ spl79_303 ),
inference(superposition,[],[f631,f12876]) ).
fof(f12876,plain,
( empty_set = relation_dom(sF75)
| ~ spl79_303 ),
inference(avatar_component_clause,[],[f12875]) ).
fof(f12938,plain,
( spl79_308
| ~ spl79_48
| ~ spl79_288
| ~ spl79_303 ),
inference(avatar_split_clause,[],[f12911,f12875,f12634,f1594,f12936]) ).
fof(f12936,plain,
( spl79_308
<=> relation_rng(sK3) = relation_image(sF75,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_308])]) ).
fof(f12634,plain,
( spl79_288
<=> relation_rng(sK3) = relation_rng(sF75) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_288])]) ).
fof(f12911,plain,
( relation_rng(sK3) = relation_image(sF75,empty_set)
| ~ spl79_48
| ~ spl79_288
| ~ spl79_303 ),
inference(forward_demodulation,[],[f12910,f12635]) ).
fof(f12635,plain,
( relation_rng(sK3) = relation_rng(sF75)
| ~ spl79_288 ),
inference(avatar_component_clause,[],[f12634]) ).
fof(f12910,plain,
( relation_image(sF75,empty_set) = relation_rng(sF75)
| ~ spl79_48
| ~ spl79_303 ),
inference(subsumption_resolution,[],[f12887,f1595]) ).
fof(f12887,plain,
( relation_image(sF75,empty_set) = relation_rng(sF75)
| ~ relation(sF75)
| ~ spl79_303 ),
inference(superposition,[],[f708,f12876]) ).
fof(f708,plain,
! [X0] :
( relation_rng(X0) = relation_image(X0,relation_dom(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f410]) ).
fof(f410,plain,
! [X0] :
( relation_rng(X0) = relation_image(X0,relation_dom(X0))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f136]) ).
fof(f136,axiom,
! [X0] :
( relation(X0)
=> relation_rng(X0) = relation_image(X0,relation_dom(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t146_relat_1) ).
fof(f12934,plain,
( spl79_307
| ~ spl79_48
| ~ spl79_288
| ~ spl79_303 ),
inference(avatar_split_clause,[],[f12898,f12875,f12634,f1594,f12932]) ).
fof(f12932,plain,
( spl79_307
<=> subset(sF75,cartesian_product2(empty_set,relation_rng(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_307])]) ).
fof(f12898,plain,
( subset(sF75,cartesian_product2(empty_set,relation_rng(sK3)))
| ~ spl79_48
| ~ spl79_288
| ~ spl79_303 ),
inference(forward_demodulation,[],[f12897,f12635]) ).
fof(f12897,plain,
( subset(sF75,cartesian_product2(empty_set,relation_rng(sF75)))
| ~ spl79_48
| ~ spl79_303 ),
inference(subsumption_resolution,[],[f12879,f1595]) ).
fof(f12879,plain,
( subset(sF75,cartesian_product2(empty_set,relation_rng(sF75)))
| ~ relation(sF75)
| ~ spl79_303 ),
inference(superposition,[],[f526,f12876]) ).
fof(f12929,plain,
( ~ spl79_306
| ~ spl79_26
| ~ spl79_48
| ~ spl79_70
| spl79_156
| ~ spl79_288 ),
inference(avatar_split_clause,[],[f12827,f12634,f4943,f2564,f1594,f983,f12927]) ).
fof(f4943,plain,
( spl79_156
<=> in(sK73(relation_field(sF75)),sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_156])]) ).
fof(f12827,plain,
( ~ in(sK73(relation_rng(sK3)),sF74)
| ~ spl79_26
| ~ spl79_48
| ~ spl79_70
| spl79_156
| ~ spl79_288 ),
inference(backward_demodulation,[],[f4944,f12814]) ).
fof(f12814,plain,
( relation_field(sF75) = relation_rng(sK3)
| ~ spl79_26
| ~ spl79_48
| ~ spl79_70
| ~ spl79_288 ),
inference(forward_demodulation,[],[f12813,f1230]) ).
fof(f12813,plain,
( relation_field(sF75) = set_union2(empty_set,relation_rng(sK3))
| ~ spl79_26
| ~ spl79_48
| ~ spl79_70
| ~ spl79_288 ),
inference(forward_demodulation,[],[f12784,f12796]) ).
fof(f12784,plain,
( relation_field(sF75) = set_union2(sF76,relation_rng(sK3))
| ~ spl79_26
| ~ spl79_48
| ~ spl79_288 ),
inference(forward_demodulation,[],[f12783,f984]) ).
fof(f12783,plain,
( relation_field(sF75) = set_union2(relation_dom(sF75),relation_rng(sK3))
| ~ spl79_48
| ~ spl79_288 ),
inference(subsumption_resolution,[],[f12772,f1595]) ).
fof(f12772,plain,
( ~ relation(sF75)
| relation_field(sF75) = set_union2(relation_dom(sF75),relation_rng(sK3))
| ~ spl79_288 ),
inference(superposition,[],[f615,f12635]) ).
fof(f615,plain,
! [X0] :
( relation_field(X0) = set_union2(relation_dom(X0),relation_rng(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f405]) ).
fof(f405,plain,
! [X0] :
( relation_field(X0) = set_union2(relation_dom(X0),relation_rng(X0))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] :
( relation(X0)
=> relation_field(X0) = set_union2(relation_dom(X0),relation_rng(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_relat_1) ).
fof(f4944,plain,
( ~ in(sK73(relation_field(sF75)),sF74)
| spl79_156 ),
inference(avatar_component_clause,[],[f4943]) ).
fof(f12923,plain,
( ~ spl79_305
| ~ spl79_70
| spl79_282 ),
inference(avatar_split_clause,[],[f12812,f12281,f2564,f12921]) ).
fof(f12921,plain,
( spl79_305
<=> in(sF74,sK0(empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_305])]) ).
fof(f12281,plain,
( spl79_282
<=> in(sF74,sK0(sF76)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_282])]) ).
fof(f12812,plain,
( ~ in(sF74,sK0(empty_set))
| ~ spl79_70
| spl79_282 ),
inference(backward_demodulation,[],[f12282,f12796]) ).
fof(f12282,plain,
( ~ in(sF74,sK0(sF76))
| spl79_282 ),
inference(avatar_component_clause,[],[f12281]) ).
fof(f12919,plain,
( ~ spl79_304
| ~ spl79_70
| spl79_280 ),
inference(avatar_split_clause,[],[f12811,f12216,f2564,f12917]) ).
fof(f12917,plain,
( spl79_304
<=> in(sF74,sK53(empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_304])]) ).
fof(f12216,plain,
( spl79_280
<=> in(sF74,sK53(sF76)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_280])]) ).
fof(f12811,plain,
( ~ in(sF74,sK53(empty_set))
| ~ spl79_70
| spl79_280 ),
inference(backward_demodulation,[],[f12217,f12796]) ).
fof(f12217,plain,
( ~ in(sF74,sK53(sF76))
| spl79_280 ),
inference(avatar_component_clause,[],[f12216]) ).
fof(f12915,plain,
( spl79_297
| ~ spl79_48
| ~ spl79_288
| ~ spl79_303 ),
inference(avatar_split_clause,[],[f12906,f12875,f12634,f1594,f12831]) ).
fof(f12831,plain,
( spl79_297
<=> relation_field(sF75) = relation_rng(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_297])]) ).
fof(f12906,plain,
( relation_field(sF75) = relation_rng(sK3)
| ~ spl79_48
| ~ spl79_288
| ~ spl79_303 ),
inference(forward_demodulation,[],[f12905,f12635]) ).
fof(f12905,plain,
( relation_field(sF75) = relation_rng(sF75)
| ~ spl79_48
| ~ spl79_303 ),
inference(forward_demodulation,[],[f12904,f1230]) ).
fof(f12904,plain,
( relation_field(sF75) = set_union2(empty_set,relation_rng(sF75))
| ~ spl79_48
| ~ spl79_303 ),
inference(subsumption_resolution,[],[f12883,f1595]) ).
fof(f12883,plain,
( ~ relation(sF75)
| relation_field(sF75) = set_union2(empty_set,relation_rng(sF75))
| ~ spl79_303 ),
inference(superposition,[],[f615,f12876]) ).
fof(f12877,plain,
( spl79_303
| ~ spl79_26
| ~ spl79_70 ),
inference(avatar_split_clause,[],[f12801,f2564,f983,f12875]) ).
fof(f12801,plain,
( empty_set = relation_dom(sF75)
| ~ spl79_26
| ~ spl79_70 ),
inference(backward_demodulation,[],[f984,f12796]) ).
fof(f12873,plain,
( ~ spl79_302
| ~ spl79_26
| ~ spl79_48
| ~ spl79_70
| spl79_155
| ~ spl79_288 ),
inference(avatar_split_clause,[],[f12826,f12634,f4939,f2564,f1594,f983,f12871]) ).
fof(f4939,plain,
( spl79_155
<=> in(sK22(relation_field(sF75)),sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_155])]) ).
fof(f12826,plain,
( ~ in(sK22(relation_rng(sK3)),sF74)
| ~ spl79_26
| ~ spl79_48
| ~ spl79_70
| spl79_155
| ~ spl79_288 ),
inference(backward_demodulation,[],[f4940,f12814]) ).
fof(f4940,plain,
( ~ in(sK22(relation_field(sF75)),sF74)
| spl79_155 ),
inference(avatar_component_clause,[],[f4939]) ).
fof(f12852,plain,
( spl79_301
| ~ spl79_70
| ~ spl79_112 ),
inference(avatar_split_clause,[],[f12810,f3616,f2564,f12850]) ).
fof(f12850,plain,
( spl79_301
<=> proper_subset(empty_set,sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_301])]) ).
fof(f3616,plain,
( spl79_112
<=> proper_subset(sF76,sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_112])]) ).
fof(f12810,plain,
( proper_subset(empty_set,sF74)
| ~ spl79_70
| ~ spl79_112 ),
inference(backward_demodulation,[],[f3617,f12796]) ).
fof(f3617,plain,
( proper_subset(sF76,sF74)
| ~ spl79_112 ),
inference(avatar_component_clause,[],[f3616]) ).
fof(f12848,plain,
( ~ spl79_300
| ~ spl79_26
| ~ spl79_48
| ~ spl79_70
| spl79_152
| ~ spl79_288 ),
inference(avatar_split_clause,[],[f12825,f12634,f4925,f2564,f1594,f983,f12846]) ).
fof(f4925,plain,
( spl79_152
<=> in(powerset(relation_field(sF75)),sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_152])]) ).
fof(f12825,plain,
( ~ in(powerset(relation_rng(sK3)),sF74)
| ~ spl79_26
| ~ spl79_48
| ~ spl79_70
| spl79_152
| ~ spl79_288 ),
inference(backward_demodulation,[],[f4926,f12814]) ).
fof(f4926,plain,
( ~ in(powerset(relation_field(sF75)),sF74)
| spl79_152 ),
inference(avatar_component_clause,[],[f4925]) ).
fof(f12844,plain,
( ~ spl79_299
| ~ spl79_26
| ~ spl79_48
| ~ spl79_70
| spl79_151
| ~ spl79_288 ),
inference(avatar_split_clause,[],[f12824,f12634,f4911,f2564,f1594,f983,f12842]) ).
fof(f4911,plain,
( spl79_151
<=> in(singleton(relation_field(sF75)),sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_151])]) ).
fof(f12824,plain,
( ~ in(singleton(relation_rng(sK3)),sF74)
| ~ spl79_26
| ~ spl79_48
| ~ spl79_70
| spl79_151
| ~ spl79_288 ),
inference(backward_demodulation,[],[f4912,f12814]) ).
fof(f4912,plain,
( ~ in(singleton(relation_field(sF75)),sF74)
| spl79_151 ),
inference(avatar_component_clause,[],[f4911]) ).
fof(f12840,plain,
( ~ spl79_298
| ~ spl79_26
| ~ spl79_48
| ~ spl79_70
| spl79_171
| ~ spl79_288 ),
inference(avatar_split_clause,[],[f12828,f12634,f6799,f2564,f1594,f983,f12838]) ).
fof(f6799,plain,
( spl79_171
<=> in(relation_field(sF75),sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_171])]) ).
fof(f12828,plain,
( ~ in(relation_rng(sK3),sF74)
| ~ spl79_26
| ~ spl79_48
| ~ spl79_70
| spl79_171
| ~ spl79_288 ),
inference(backward_demodulation,[],[f6800,f12814]) ).
fof(f6800,plain,
( ~ in(relation_field(sF75),sF74)
| spl79_171 ),
inference(avatar_component_clause,[],[f6799]) ).
fof(f12833,plain,
( spl79_297
| ~ spl79_26
| ~ spl79_48
| ~ spl79_70
| ~ spl79_288 ),
inference(avatar_split_clause,[],[f12814,f12634,f2564,f1594,f983,f12831]) ).
fof(f12822,plain,
( spl79_296
| ~ spl79_44
| ~ spl79_70 ),
inference(avatar_split_clause,[],[f12803,f2564,f1147,f12820]) ).
fof(f12820,plain,
( spl79_296
<=> element(sK4,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_296])]) ).
fof(f1147,plain,
( spl79_44
<=> element(sK4,sF76) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_44])]) ).
fof(f12803,plain,
( element(sK4,empty_set)
| ~ spl79_44
| ~ spl79_70 ),
inference(backward_demodulation,[],[f1148,f12796]) ).
fof(f1148,plain,
( element(sK4,sF76)
| ~ spl79_44 ),
inference(avatar_component_clause,[],[f1147]) ).
fof(f12818,plain,
( ~ spl79_295
| spl79_43
| ~ spl79_70 ),
inference(avatar_split_clause,[],[f12802,f2564,f1112,f12816]) ).
fof(f1112,plain,
( spl79_43
<=> in(sF76,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_43])]) ).
fof(f12802,plain,
( ~ in(empty_set,sK4)
| spl79_43
| ~ spl79_70 ),
inference(backward_demodulation,[],[f1113,f12796]) ).
fof(f1113,plain,
( ~ in(sF76,sK4)
| spl79_43 ),
inference(avatar_component_clause,[],[f1112]) ).
fof(f12800,plain,
( spl79_70
| ~ spl79_294
| ~ spl79_26
| ~ spl79_48
| ~ spl79_288 ),
inference(avatar_split_clause,[],[f12780,f12634,f1594,f983,f12798,f2564]) ).
fof(f12798,plain,
( spl79_294
<=> empty_set = relation_rng(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_294])]) ).
fof(f12780,plain,
( empty_set != relation_rng(sK3)
| empty_set = sF76
| ~ spl79_26
| ~ spl79_48
| ~ spl79_288 ),
inference(forward_demodulation,[],[f12779,f984]) ).
fof(f12779,plain,
( empty_set = relation_dom(sF75)
| empty_set != relation_rng(sK3)
| ~ spl79_48
| ~ spl79_288 ),
inference(subsumption_resolution,[],[f12771,f1595]) ).
fof(f12771,plain,
( empty_set = relation_dom(sF75)
| empty_set != relation_rng(sK3)
| ~ relation(sF75)
| ~ spl79_288 ),
inference(superposition,[],[f591,f12635]) ).
fof(f591,plain,
! [X0] :
( empty_set != relation_rng(X0)
| empty_set = relation_dom(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f439]) ).
fof(f439,plain,
! [X0] :
( ( empty_set = relation_dom(X0)
<=> empty_set = relation_rng(X0) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f196]) ).
fof(f196,axiom,
! [X0] :
( relation(X0)
=> ( empty_set = relation_dom(X0)
<=> empty_set = relation_rng(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_relat_1) ).
fof(f12795,plain,
( spl79_293
| ~ spl79_26
| ~ spl79_48
| ~ spl79_288 ),
inference(avatar_split_clause,[],[f12787,f12634,f1594,f983,f12793]) ).
fof(f12793,plain,
( spl79_293
<=> subset(sF75,cartesian_product2(sF76,relation_rng(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_293])]) ).
fof(f12787,plain,
( subset(sF75,cartesian_product2(sF76,relation_rng(sK3)))
| ~ spl79_26
| ~ spl79_48
| ~ spl79_288 ),
inference(forward_demodulation,[],[f12786,f984]) ).
fof(f12786,plain,
( subset(sF75,cartesian_product2(relation_dom(sF75),relation_rng(sK3)))
| ~ spl79_48
| ~ spl79_288 ),
inference(subsumption_resolution,[],[f12766,f1595]) ).
fof(f12766,plain,
( ~ relation(sF75)
| subset(sF75,cartesian_product2(relation_dom(sF75),relation_rng(sK3)))
| ~ spl79_288 ),
inference(superposition,[],[f526,f12635]) ).
fof(f12716,plain,
( ~ spl79_32
| ~ spl79_20
| spl79_292 ),
inference(avatar_split_clause,[],[f12715,f12711,f951,f1020]) ).
fof(f12711,plain,
( spl79_292
<=> empty(relation_rng(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_292])]) ).
fof(f12715,plain,
( ~ empty(sK5)
| ~ spl79_20
| spl79_292 ),
inference(duplicate_literal_removal,[],[f12714]) ).
fof(f12714,plain,
( ~ empty(sK5)
| ~ empty(sK5)
| ~ spl79_20
| spl79_292 ),
inference(superposition,[],[f12712,f1062]) ).
fof(f12712,plain,
( ~ empty(relation_rng(sK5))
| spl79_292 ),
inference(avatar_component_clause,[],[f12711]) ).
fof(f12713,plain,
( ~ spl79_292
| spl79_291 ),
inference(avatar_split_clause,[],[f12706,f12703,f12711]) ).
fof(f12703,plain,
( spl79_291
<=> subset(relation_rng(sK5),sF78) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_291])]) ).
fof(f12706,plain,
( ~ empty(relation_rng(sK5))
| spl79_291 ),
inference(resolution,[],[f12704,f1057]) ).
fof(f12704,plain,
( ~ subset(relation_rng(sK5),sF78)
| spl79_291 ),
inference(avatar_component_clause,[],[f12703]) ).
fof(f12709,plain,
( ~ spl79_32
| ~ spl79_20
| spl79_291 ),
inference(avatar_split_clause,[],[f12708,f12703,f951,f1020]) ).
fof(f12708,plain,
( ~ empty(sK5)
| ~ spl79_20
| spl79_291 ),
inference(subsumption_resolution,[],[f12707,f1057]) ).
fof(f12707,plain,
( ~ subset(sK5,sF78)
| ~ empty(sK5)
| ~ spl79_20
| spl79_291 ),
inference(superposition,[],[f12704,f1062]) ).
fof(f12705,plain,
( ~ spl79_291
| spl79_108
| ~ spl79_1
| ~ spl79_3
| ~ spl79_25
| ~ spl79_26
| ~ spl79_27
| ~ spl79_38 ),
inference(avatar_split_clause,[],[f12697,f1073,f987,f983,f979,f879,f871,f3490,f12703]) ).
fof(f3490,plain,
( spl79_108
<=> sF74 = sF76 ),
introduced(avatar_definition,[new_symbols(naming,[spl79_108])]) ).
fof(f12697,plain,
( sF74 = sF76
| ~ subset(relation_rng(sK5),sF78)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_25
| ~ spl79_26
| ~ spl79_27
| ~ spl79_38 ),
inference(forward_demodulation,[],[f12696,f984]) ).
fof(f12696,plain,
( ~ subset(relation_rng(sK5),sF78)
| relation_dom(sF75) = sF74
| ~ spl79_1
| ~ spl79_3
| ~ spl79_25
| ~ spl79_27
| ~ spl79_38 ),
inference(forward_demodulation,[],[f12695,f980]) ).
fof(f12695,plain,
( relation_dom(sF75) = relation_dom(sK5)
| ~ subset(relation_rng(sK5),sF78)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_27
| ~ spl79_38 ),
inference(forward_demodulation,[],[f12694,f988]) ).
fof(f12694,plain,
( ~ subset(relation_rng(sK5),relation_dom(sK3))
| relation_dom(sF75) = relation_dom(sK5)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38 ),
inference(subsumption_resolution,[],[f12693,f880]) ).
fof(f12693,plain,
( ~ subset(relation_rng(sK5),relation_dom(sK3))
| ~ relation(sK3)
| relation_dom(sF75) = relation_dom(sK5)
| ~ spl79_1
| ~ spl79_38 ),
inference(subsumption_resolution,[],[f12644,f872]) ).
fof(f12644,plain,
( relation_dom(sF75) = relation_dom(sK5)
| ~ subset(relation_rng(sK5),relation_dom(sK3))
| ~ relation(sK5)
| ~ relation(sK3)
| ~ spl79_38 ),
inference(superposition,[],[f854,f1074]) ).
fof(f854,plain,
! [X0,X1] :
( relation_dom(X0) = relation_dom(relation_composition(X0,X1))
| ~ relation(X0)
| ~ subset(relation_rng(X0),relation_dom(X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f465]) ).
fof(f465,plain,
! [X0] :
( ! [X1] :
( ~ relation(X1)
| relation_dom(X0) = relation_dom(relation_composition(X0,X1))
| ~ subset(relation_rng(X0),relation_dom(X1)) )
| ~ relation(X0) ),
inference(flattening,[],[f464]) ).
fof(f464,plain,
! [X0] :
( ! [X1] :
( relation_dom(X0) = relation_dom(relation_composition(X0,X1))
| ~ subset(relation_rng(X0),relation_dom(X1))
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f178]) ).
fof(f178,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(relation_rng(X0),relation_dom(X1))
=> relation_dom(X0) = relation_dom(relation_composition(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_relat_1) ).
fof(f12643,plain,
( ~ spl79_37
| spl79_290
| ~ spl79_67 ),
inference(avatar_split_clause,[],[f12500,f2421,f12641,f1067]) ).
fof(f12641,plain,
( spl79_290
<=> empty(sF77) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_290])]) ).
fof(f2421,plain,
( spl79_67
<=> element(sF77,sF78) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_67])]) ).
fof(f12500,plain,
( empty(sF77)
| ~ empty(sF78)
| ~ spl79_67 ),
inference(resolution,[],[f2422,f505]) ).
fof(f2422,plain,
( element(sF77,sF78)
| ~ spl79_67 ),
inference(avatar_component_clause,[],[f2421]) ).
fof(f12639,plain,
( spl79_288
| ~ spl79_289
| ~ spl79_1
| ~ spl79_3
| ~ spl79_27
| ~ spl79_38 ),
inference(avatar_split_clause,[],[f12619,f1073,f987,f879,f871,f12637,f12634]) ).
fof(f12619,plain,
( ~ subset(sF78,relation_rng(sK5))
| relation_rng(sK3) = relation_rng(sF75)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_27
| ~ spl79_38 ),
inference(forward_demodulation,[],[f12618,f988]) ).
fof(f12618,plain,
( relation_rng(sK3) = relation_rng(sF75)
| ~ subset(relation_dom(sK3),relation_rng(sK5))
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38 ),
inference(subsumption_resolution,[],[f12617,f880]) ).
fof(f12617,plain,
( ~ subset(relation_dom(sK3),relation_rng(sK5))
| relation_rng(sK3) = relation_rng(sF75)
| ~ relation(sK3)
| ~ spl79_1
| ~ spl79_38 ),
inference(subsumption_resolution,[],[f12595,f872]) ).
fof(f12595,plain,
( ~ subset(relation_dom(sK3),relation_rng(sK5))
| ~ relation(sK5)
| relation_rng(sK3) = relation_rng(sF75)
| ~ relation(sK3)
| ~ spl79_38 ),
inference(superposition,[],[f830,f1074]) ).
fof(f830,plain,
! [X0,X1] :
( relation_rng(X0) = relation_rng(relation_composition(X1,X0))
| ~ relation(X1)
| ~ subset(relation_dom(X0),relation_rng(X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f443]) ).
fof(f443,plain,
! [X0] :
( ! [X1] :
( ~ relation(X1)
| relation_rng(X0) = relation_rng(relation_composition(X1,X0))
| ~ subset(relation_dom(X0),relation_rng(X1)) )
| ~ relation(X0) ),
inference(flattening,[],[f442]) ).
fof(f442,plain,
! [X0] :
( ! [X1] :
( relation_rng(X0) = relation_rng(relation_composition(X1,X0))
| ~ subset(relation_dom(X0),relation_rng(X1))
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f181]) ).
fof(f181,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(relation_dom(X0),relation_rng(X1))
=> relation_rng(X0) = relation_rng(relation_composition(X1,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t47_relat_1) ).
fof(f12552,plain,
( spl79_287
| ~ spl79_285 ),
inference(avatar_split_clause,[],[f12544,f12540,f12550]) ).
fof(f12550,plain,
( spl79_287
<=> function(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_287])]) ).
fof(f12544,plain,
( function(sK4)
| ~ spl79_285 ),
inference(resolution,[],[f12541,f613]) ).
fof(f12541,plain,
( empty(sK4)
| ~ spl79_285 ),
inference(avatar_component_clause,[],[f12540]) ).
fof(f12548,plain,
( spl79_286
| ~ spl79_285 ),
inference(avatar_split_clause,[],[f12543,f12540,f12546]) ).
fof(f12543,plain,
( relation(sK4)
| ~ spl79_285 ),
inference(resolution,[],[f12541,f709]) ).
fof(f12542,plain,
( ~ spl79_35
| spl79_285
| ~ spl79_44 ),
inference(avatar_split_clause,[],[f3532,f1147,f12540,f1046]) ).
fof(f3532,plain,
( empty(sK4)
| ~ empty(sF76)
| ~ spl79_44 ),
inference(resolution,[],[f1148,f505]) ).
fof(f12532,plain,
( ~ spl79_35
| spl79_33
| ~ spl79_26
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f12491,f1594,f983,f1031,f1046]) ).
fof(f12491,plain,
( empty(sF75)
| ~ empty(sF76)
| ~ spl79_26
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f12100,f1595]) ).
fof(f12100,plain,
( ~ empty(sF76)
| ~ relation(sF75)
| empty(sF75)
| ~ spl79_26 ),
inference(superposition,[],[f631,f984]) ).
fof(f12531,plain,
( ~ spl79_35
| spl79_33
| ~ spl79_26
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f12489,f1594,f983,f1031,f1046]) ).
fof(f12489,plain,
( empty(sF75)
| ~ empty(sF76)
| ~ spl79_26
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f3544,f1595]) ).
fof(f3544,plain,
( ~ empty(sF76)
| ~ relation(sF75)
| empty(sF75)
| ~ spl79_26 ),
inference(superposition,[],[f631,f984]) ).
fof(f12530,plain,
( spl79_33
| ~ spl79_35
| ~ spl79_26
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f12487,f1594,f983,f1046,f1031]) ).
fof(f12487,plain,
( ~ empty(sF76)
| empty(sF75)
| ~ spl79_26
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f1255,f1595]) ).
fof(f1255,plain,
( ~ empty(sF76)
| empty(sF75)
| ~ relation(sF75)
| ~ spl79_26 ),
inference(superposition,[],[f631,f984]) ).
fof(f12526,plain,
( ~ spl79_30
| ~ spl79_20
| spl79_82 ),
inference(avatar_split_clause,[],[f12502,f2843,f951,f1013]) ).
fof(f2843,plain,
( spl79_82
<=> empty(relation_rng(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_82])]) ).
fof(f12502,plain,
( ~ empty(sK3)
| ~ spl79_20
| spl79_82 ),
inference(duplicate_literal_removal,[],[f12501]) ).
fof(f12501,plain,
( ~ empty(sK3)
| ~ empty(sK3)
| ~ spl79_20
| spl79_82 ),
inference(superposition,[],[f2844,f1062]) ).
fof(f2844,plain,
( ~ empty(relation_rng(sK3))
| spl79_82 ),
inference(avatar_component_clause,[],[f2843]) ).
fof(f12498,plain,
( ~ spl79_37
| ~ spl79_7 ),
inference(avatar_split_clause,[],[f12497,f895,f1067]) ).
fof(f12497,plain,
( ~ empty(sF78)
| ~ spl79_7 ),
inference(resolution,[],[f2403,f745]) ).
fof(f12485,plain,
( spl79_30
| ~ spl79_3
| ~ spl79_82 ),
inference(avatar_split_clause,[],[f12484,f2843,f879,f1013]) ).
fof(f12484,plain,
( empty(sK3)
| ~ spl79_3
| ~ spl79_82 ),
inference(subsumption_resolution,[],[f12480,f880]) ).
fof(f12480,plain,
( empty(sK3)
| ~ relation(sK3)
| ~ spl79_82 ),
inference(resolution,[],[f12478,f693]) ).
fof(f12478,plain,
( empty(relation_rng(sK3))
| ~ spl79_82 ),
inference(avatar_component_clause,[],[f2843]) ).
fof(f12479,plain,
( ~ spl79_37
| spl79_82
| ~ spl79_92
| ~ spl79_265 ),
inference(avatar_split_clause,[],[f12042,f11900,f3146,f2843,f1067]) ).
fof(f11900,plain,
( spl79_265
<=> sF78 = relation_field(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_265])]) ).
fof(f12042,plain,
( empty(relation_rng(sK3))
| ~ empty(sF78)
| ~ spl79_92
| ~ spl79_265 ),
inference(forward_demodulation,[],[f3233,f11901]) ).
fof(f11901,plain,
( sF78 = relation_field(sK3)
| ~ spl79_265 ),
inference(avatar_component_clause,[],[f11900]) ).
fof(f3233,plain,
( empty(relation_rng(sK3))
| ~ empty(relation_field(sK3))
| ~ spl79_92 ),
inference(superposition,[],[f748,f3147]) ).
fof(f748,plain,
! [X0,X1] :
( ~ empty(set_union2(X0,X1))
| empty(X1) ),
inference(cnf_transformation,[],[f374]) ).
fof(f374,plain,
! [X1,X0] :
( empty(X1)
| ~ empty(set_union2(X0,X1)) ),
inference(ennf_transformation,[],[f278]) ).
fof(f278,plain,
! [X0,X1] :
( ~ empty(X1)
=> ~ empty(set_union2(X0,X1)) ),
inference(rectify,[],[f82]) ).
fof(f82,axiom,
! [X1,X0] :
( ~ empty(X0)
=> ~ empty(set_union2(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_xboole_0) ).
fof(f12405,plain,
( ~ spl79_284
| spl79_201
| ~ spl79_265 ),
inference(avatar_split_clause,[],[f12021,f11900,f9248,f12403]) ).
fof(f12403,plain,
( spl79_284
<=> empty(union(sK73(sF78))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_284])]) ).
fof(f9248,plain,
( spl79_201
<=> empty(union(sK73(relation_field(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_201])]) ).
fof(f12021,plain,
( ~ empty(union(sK73(sF78)))
| spl79_201
| ~ spl79_265 ),
inference(backward_demodulation,[],[f9249,f11901]) ).
fof(f9249,plain,
( ~ empty(union(sK73(relation_field(sK3))))
| spl79_201 ),
inference(avatar_component_clause,[],[f9248]) ).
fof(f12401,plain,
( ~ spl79_283
| spl79_199
| ~ spl79_265 ),
inference(avatar_split_clause,[],[f12020,f11900,f9240,f12399]) ).
fof(f12399,plain,
( spl79_283
<=> empty(union(sK22(sF78))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_283])]) ).
fof(f9240,plain,
( spl79_199
<=> empty(union(sK22(relation_field(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_199])]) ).
fof(f12020,plain,
( ~ empty(union(sK22(sF78)))
| spl79_199
| ~ spl79_265 ),
inference(backward_demodulation,[],[f9241,f11901]) ).
fof(f9241,plain,
( ~ empty(union(sK22(relation_field(sK3))))
| spl79_199 ),
inference(avatar_component_clause,[],[f9240]) ).
fof(f12397,plain,
( ~ spl79_209
| spl79_230
| ~ spl79_265 ),
inference(avatar_split_clause,[],[f12025,f11900,f10352,f9667]) ).
fof(f9667,plain,
( spl79_209
<=> empty(cartesian_product2(sF74,sF78)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_209])]) ).
fof(f10352,plain,
( spl79_230
<=> empty(cartesian_product2(sF74,relation_field(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_230])]) ).
fof(f12025,plain,
( ~ empty(cartesian_product2(sF74,sF78))
| spl79_230
| ~ spl79_265 ),
inference(backward_demodulation,[],[f10353,f11901]) ).
fof(f10353,plain,
( ~ empty(cartesian_product2(sF74,relation_field(sK3)))
| spl79_230 ),
inference(avatar_component_clause,[],[f10352]) ).
fof(f12284,plain,
( ~ spl79_278
| ~ spl79_277 ),
inference(avatar_split_clause,[],[f12201,f12180,f12208]) ).
fof(f12208,plain,
( spl79_278
<=> proper_subset(sF78,relation_rng(sF75)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_278])]) ).
fof(f12180,plain,
( spl79_277
<=> subset(relation_rng(sF75),sF78) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_277])]) ).
fof(f12201,plain,
( ~ proper_subset(sF78,relation_rng(sF75))
| ~ spl79_277 ),
inference(resolution,[],[f12181,f742]) ).
fof(f12181,plain,
( subset(relation_rng(sF75),sF78)
| ~ spl79_277 ),
inference(avatar_component_clause,[],[f12180]) ).
fof(f12283,plain,
( ~ spl79_282
| ~ spl79_275 ),
inference(avatar_split_clause,[],[f12193,f12171,f12281]) ).
fof(f12171,plain,
( spl79_275
<=> in(sK0(sF76),sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_275])]) ).
fof(f12193,plain,
( ~ in(sF74,sK0(sF76))
| ~ spl79_275 ),
inference(resolution,[],[f12172,f498]) ).
fof(f12172,plain,
( in(sK0(sF76),sF74)
| ~ spl79_275 ),
inference(avatar_component_clause,[],[f12171]) ).
fof(f12222,plain,
( spl79_281
| ~ spl79_275 ),
inference(avatar_split_clause,[],[f12192,f12171,f12220]) ).
fof(f12220,plain,
( spl79_281
<=> element(sK0(sF76),sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_281])]) ).
fof(f12192,plain,
( element(sK0(sF76),sF74)
| ~ spl79_275 ),
inference(resolution,[],[f12172,f831]) ).
fof(f12218,plain,
( ~ spl79_280
| ~ spl79_274 ),
inference(avatar_split_clause,[],[f12190,f12167,f12216]) ).
fof(f12190,plain,
( ~ in(sF74,sK53(sF76))
| ~ spl79_274 ),
inference(resolution,[],[f12168,f498]) ).
fof(f12168,plain,
( in(sK53(sF76),sF74)
| ~ spl79_274 ),
inference(avatar_component_clause,[],[f12167]) ).
fof(f12214,plain,
( spl79_279
| ~ spl79_274 ),
inference(avatar_split_clause,[],[f12189,f12167,f12212]) ).
fof(f12212,plain,
( spl79_279
<=> element(sK53(sF76),sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_279])]) ).
fof(f12189,plain,
( element(sK53(sF76),sF74)
| ~ spl79_274 ),
inference(resolution,[],[f12168,f831]) ).
fof(f12210,plain,
( ~ spl79_278
| spl79_229
| ~ spl79_265 ),
inference(avatar_split_clause,[],[f12024,f11900,f10274,f12208]) ).
fof(f10274,plain,
( spl79_229
<=> proper_subset(relation_field(sK3),relation_rng(sF75)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_229])]) ).
fof(f12024,plain,
( ~ proper_subset(sF78,relation_rng(sF75))
| spl79_229
| ~ spl79_265 ),
inference(backward_demodulation,[],[f10275,f11901]) ).
fof(f10275,plain,
( ~ proper_subset(relation_field(sK3),relation_rng(sF75))
| spl79_229 ),
inference(avatar_component_clause,[],[f10274]) ).
fof(f12206,plain,
( ~ spl79_37
| ~ spl79_241 ),
inference(avatar_split_clause,[],[f12205,f10937,f1067]) ).
fof(f10937,plain,
( spl79_241
<=> in(sK40(sK3),sF78) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_241])]) ).
fof(f12205,plain,
( ~ empty(sF78)
| ~ spl79_241 ),
inference(resolution,[],[f10938,f745]) ).
fof(f10938,plain,
( in(sK40(sK3),sF78)
| ~ spl79_241 ),
inference(avatar_component_clause,[],[f10937]) ).
fof(f12185,plain,
( ~ spl79_276
| ~ spl79_273 ),
inference(avatar_split_clause,[],[f12164,f12154,f12176]) ).
fof(f12176,plain,
( spl79_276
<=> proper_subset(sF78,relation_rng(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_276])]) ).
fof(f12154,plain,
( spl79_273
<=> subset(relation_rng(sK3),sF78) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_273])]) ).
fof(f12164,plain,
( ~ proper_subset(sF78,relation_rng(sK3))
| ~ spl79_273 ),
inference(resolution,[],[f12155,f742]) ).
fof(f12155,plain,
( subset(relation_rng(sK3),sF78)
| ~ spl79_273 ),
inference(avatar_component_clause,[],[f12154]) ).
fof(f12184,plain,
( spl79_277
| ~ spl79_104
| ~ spl79_273 ),
inference(avatar_split_clause,[],[f12158,f12154,f3378,f12180]) ).
fof(f12158,plain,
( subset(relation_rng(sF75),sF78)
| ~ spl79_104
| ~ spl79_273 ),
inference(resolution,[],[f12155,f3385]) ).
fof(f12182,plain,
( spl79_277
| ~ spl79_228
| ~ spl79_265 ),
inference(avatar_split_clause,[],[f12023,f11900,f10262,f12180]) ).
fof(f10262,plain,
( spl79_228
<=> subset(relation_rng(sF75),relation_field(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_228])]) ).
fof(f12023,plain,
( subset(relation_rng(sF75),sF78)
| ~ spl79_228
| ~ spl79_265 ),
inference(backward_demodulation,[],[f10263,f11901]) ).
fof(f10263,plain,
( subset(relation_rng(sF75),relation_field(sK3))
| ~ spl79_228 ),
inference(avatar_component_clause,[],[f10262]) ).
fof(f12178,plain,
( ~ spl79_276
| spl79_103
| ~ spl79_265 ),
inference(avatar_split_clause,[],[f11991,f11900,f3354,f12176]) ).
fof(f3354,plain,
( spl79_103
<=> proper_subset(relation_field(sK3),relation_rng(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_103])]) ).
fof(f11991,plain,
( ~ proper_subset(sF78,relation_rng(sK3))
| spl79_103
| ~ spl79_265 ),
inference(backward_demodulation,[],[f3355,f11901]) ).
fof(f3355,plain,
( ~ proper_subset(relation_field(sK3),relation_rng(sK3))
| spl79_103 ),
inference(avatar_component_clause,[],[f3354]) ).
fof(f12173,plain,
( spl79_275
| spl79_70
| ~ spl79_106 ),
inference(avatar_split_clause,[],[f3632,f3449,f2564,f12171]) ).
fof(f3632,plain,
( in(sK0(sF76),sF74)
| spl79_70
| ~ spl79_106 ),
inference(subsumption_resolution,[],[f3621,f2565]) ).
fof(f3621,plain,
( in(sK0(sF76),sF74)
| empty_set = sF76
| ~ spl79_106 ),
inference(resolution,[],[f3454,f486]) ).
fof(f12169,plain,
( spl79_274
| spl79_35
| ~ spl79_106 ),
inference(avatar_split_clause,[],[f3629,f3449,f1046,f12167]) ).
fof(f3629,plain,
( in(sK53(sF76),sF74)
| spl79_35
| ~ spl79_106 ),
inference(subsumption_resolution,[],[f3628,f1047]) ).
fof(f12156,plain,
( spl79_273
| ~ spl79_102
| ~ spl79_265 ),
inference(avatar_split_clause,[],[f11990,f11900,f3312,f12154]) ).
fof(f3312,plain,
( spl79_102
<=> subset(relation_rng(sK3),relation_field(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_102])]) ).
fof(f11990,plain,
( subset(relation_rng(sK3),sF78)
| ~ spl79_102
| ~ spl79_265 ),
inference(backward_demodulation,[],[f3313,f11901]) ).
fof(f3313,plain,
( subset(relation_rng(sK3),relation_field(sK3))
| ~ spl79_102 ),
inference(avatar_component_clause,[],[f3312]) ).
fof(f12145,plain,
( ~ spl79_30
| spl79_33
| ~ spl79_1
| ~ spl79_38 ),
inference(avatar_split_clause,[],[f12060,f1073,f871,f1031,f1013]) ).
fof(f12060,plain,
( empty(sF75)
| ~ empty(sK3)
| ~ spl79_1
| ~ spl79_38 ),
inference(subsumption_resolution,[],[f2440,f872]) ).
fof(f2440,plain,
( ~ relation(sK5)
| empty(sF75)
| ~ empty(sK3)
| ~ spl79_38 ),
inference(superposition,[],[f807,f1074]) ).
fof(f807,plain,
! [X0,X1] :
( empty(relation_composition(X1,X0))
| ~ relation(X1)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f467]) ).
fof(f467,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ relation(X1)
| ( empty(relation_composition(X1,X0))
& relation(relation_composition(X1,X0)) ) ),
inference(flattening,[],[f466]) ).
fof(f466,plain,
! [X0,X1] :
( ( empty(relation_composition(X1,X0))
& relation(relation_composition(X1,X0)) )
| ~ empty(X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,axiom,
! [X0,X1] :
( ( empty(X0)
& relation(X1) )
=> ( empty(relation_composition(X1,X0))
& relation(relation_composition(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc10_relat_1) ).
fof(f12144,plain,
( spl79_30
| ~ spl79_37
| ~ spl79_3
| ~ spl79_27 ),
inference(avatar_split_clause,[],[f12040,f987,f879,f1067,f1013]) ).
fof(f12040,plain,
( ~ empty(sF78)
| empty(sK3)
| ~ spl79_3
| ~ spl79_27 ),
inference(subsumption_resolution,[],[f1253,f880]) ).
fof(f1253,plain,
( ~ relation(sK3)
| empty(sK3)
| ~ empty(sF78)
| ~ spl79_27 ),
inference(superposition,[],[f631,f988]) ).
fof(f12142,plain,
( ~ spl79_30
| spl79_33
| ~ spl79_1
| ~ spl79_38 ),
inference(avatar_split_clause,[],[f12036,f1073,f871,f1031,f1013]) ).
fof(f12036,plain,
( empty(sF75)
| ~ empty(sK3)
| ~ spl79_1
| ~ spl79_38 ),
inference(subsumption_resolution,[],[f1733,f872]) ).
fof(f1733,plain,
( ~ empty(sK3)
| ~ relation(sK5)
| empty(sF75)
| ~ spl79_38 ),
inference(superposition,[],[f807,f1074]) ).
fof(f12141,plain,
( ~ spl79_32
| spl79_33
| ~ spl79_3
| ~ spl79_38 ),
inference(avatar_split_clause,[],[f2445,f1073,f879,f1031,f1020]) ).
fof(f2445,plain,
( empty(sF75)
| ~ empty(sK5)
| ~ spl79_3
| ~ spl79_38 ),
inference(subsumption_resolution,[],[f2442,f880]) ).
fof(f2442,plain,
( ~ relation(sK3)
| empty(sF75)
| ~ empty(sK5)
| ~ spl79_38 ),
inference(superposition,[],[f634,f1074]) ).
fof(f634,plain,
! [X0,X1] :
( empty(relation_composition(X1,X0))
| ~ empty(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f391]) ).
fof(f391,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ relation(X0)
| ( empty(relation_composition(X1,X0))
& relation(relation_composition(X1,X0)) ) ),
inference(flattening,[],[f390]) ).
fof(f390,plain,
! [X1,X0] :
( ( empty(relation_composition(X1,X0))
& relation(relation_composition(X1,X0)) )
| ~ empty(X1)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f241]) ).
fof(f241,plain,
! [X1,X0] :
( ( empty(X1)
& relation(X0) )
=> ( empty(relation_composition(X1,X0))
& relation(relation_composition(X1,X0)) ) ),
inference(rectify,[],[f89]) ).
fof(f89,axiom,
! [X1,X0] :
( ( empty(X0)
& relation(X1) )
=> ( relation(relation_composition(X0,X1))
& empty(relation_composition(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc9_relat_1) ).
fof(f12128,plain,
( ~ spl79_272
| spl79_204
| ~ spl79_265 ),
inference(avatar_split_clause,[],[f12022,f11900,f9481,f12126]) ).
fof(f12126,plain,
( spl79_272
<=> in(sF78,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_272])]) ).
fof(f9481,plain,
( spl79_204
<=> in(relation_field(sK3),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_204])]) ).
fof(f12022,plain,
( ~ in(sF78,sK3)
| spl79_204
| ~ spl79_265 ),
inference(backward_demodulation,[],[f9482,f11901]) ).
fof(f9482,plain,
( ~ in(relation_field(sK3),sK3)
| spl79_204 ),
inference(avatar_component_clause,[],[f9481]) ).
fof(f12124,plain,
( ~ spl79_271
| spl79_172
| ~ spl79_265 ),
inference(avatar_split_clause,[],[f12014,f11900,f6899,f12122]) ).
fof(f12122,plain,
( spl79_271
<=> in(sF78,sF78) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_271])]) ).
fof(f6899,plain,
( spl79_172
<=> in(relation_field(sK3),sF78) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_172])]) ).
fof(f12014,plain,
( ~ in(sF78,sF78)
| spl79_172
| ~ spl79_265 ),
inference(backward_demodulation,[],[f6900,f11901]) ).
fof(f6900,plain,
( ~ in(relation_field(sK3),sF78)
| spl79_172 ),
inference(avatar_component_clause,[],[f6899]) ).
fof(f12082,plain,
( ~ spl79_30
| spl79_197 ),
inference(avatar_split_clause,[],[f9210,f9200,f1013]) ).
fof(f9200,plain,
( spl79_197
<=> in(sK3,singleton(empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_197])]) ).
fof(f9210,plain,
( ~ empty(sK3)
| spl79_197 ),
inference(resolution,[],[f9203,f1175]) ).
fof(f9203,plain,
( ! [X0] :
( ~ in(sK3,singleton(X0))
| ~ empty(X0) )
| spl79_197 ),
inference(superposition,[],[f9201,f828]) ).
fof(f9201,plain,
( ~ in(sK3,singleton(empty_set))
| spl79_197 ),
inference(avatar_component_clause,[],[f9200]) ).
fof(f12081,plain,
( ~ spl79_30
| spl79_213 ),
inference(avatar_split_clause,[],[f9834,f9828,f1013]) ).
fof(f9828,plain,
( spl79_213
<=> subset(sK3,relation_inverse(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_213])]) ).
fof(f9834,plain,
( ~ empty(sK3)
| spl79_213 ),
inference(resolution,[],[f9829,f1057]) ).
fof(f9829,plain,
( ~ subset(sK3,relation_inverse(sK3))
| spl79_213 ),
inference(avatar_component_clause,[],[f9828]) ).
fof(f12080,plain,
( ~ spl79_37
| spl79_99
| ~ spl79_265 ),
inference(avatar_split_clause,[],[f12075,f11900,f3241,f1067]) ).
fof(f3241,plain,
( spl79_99
<=> empty(relation_field(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_99])]) ).
fof(f12075,plain,
( ~ empty(sF78)
| spl79_99
| ~ spl79_265 ),
inference(forward_demodulation,[],[f3242,f11901]) ).
fof(f3242,plain,
( ~ empty(relation_field(sK3))
| spl79_99 ),
inference(avatar_component_clause,[],[f3241]) ).
fof(f12079,plain,
( ~ spl79_30
| ~ spl79_270
| ~ spl79_20
| spl79_238
| ~ spl79_265 ),
inference(avatar_split_clause,[],[f12045,f11900,f10750,f951,f12077,f1013]) ).
fof(f12077,plain,
( spl79_270
<=> in(sF78,sK53(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_270])]) ).
fof(f10750,plain,
( spl79_238
<=> in(relation_field(sK3),sK53(relation_rng(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_238])]) ).
fof(f12045,plain,
( ~ in(sF78,sK53(sK3))
| ~ empty(sK3)
| ~ spl79_20
| spl79_238
| ~ spl79_265 ),
inference(forward_demodulation,[],[f10795,f11901]) ).
fof(f10795,plain,
( ~ in(relation_field(sK3),sK53(sK3))
| ~ empty(sK3)
| ~ spl79_20
| spl79_238 ),
inference(superposition,[],[f10751,f1062]) ).
fof(f10751,plain,
( ~ in(relation_field(sK3),sK53(relation_rng(sK3)))
| spl79_238 ),
inference(avatar_component_clause,[],[f10750]) ).
fof(f12074,plain,
( ~ spl79_30
| spl79_211 ),
inference(avatar_split_clause,[],[f9778,f9724,f1013]) ).
fof(f9724,plain,
( spl79_211
<=> subset(sK3,relation_inverse(sF75)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_211])]) ).
fof(f9778,plain,
( ~ empty(sK3)
| spl79_211 ),
inference(resolution,[],[f9725,f1057]) ).
fof(f9725,plain,
( ~ subset(sK3,relation_inverse(sF75))
| spl79_211 ),
inference(avatar_component_clause,[],[f9724]) ).
fof(f12073,plain,
( ~ spl79_269
| ~ spl79_1
| ~ spl79_3
| ~ spl79_25
| ~ spl79_38 ),
inference(avatar_split_clause,[],[f10881,f1073,f979,f879,f871,f12071]) ).
fof(f12071,plain,
( spl79_269
<=> proper_subset(sF74,relation_dom(sF75)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_269])]) ).
fof(f10881,plain,
( ~ proper_subset(sF74,relation_dom(sF75))
| ~ spl79_1
| ~ spl79_3
| ~ spl79_25
| ~ spl79_38 ),
inference(subsumption_resolution,[],[f10879,f880]) ).
fof(f10879,plain,
( ~ relation(sK3)
| ~ proper_subset(sF74,relation_dom(sF75))
| ~ spl79_1
| ~ spl79_25
| ~ spl79_38 ),
inference(superposition,[],[f10071,f1074]) ).
fof(f10071,plain,
( ! [X7] :
( ~ proper_subset(sF74,relation_dom(relation_composition(sK5,X7)))
| ~ relation(X7) )
| ~ spl79_1
| ~ spl79_25 ),
inference(resolution,[],[f3443,f742]) ).
fof(f3443,plain,
( ! [X8] :
( subset(relation_dom(relation_composition(sK5,X8)),sF74)
| ~ relation(X8) )
| ~ spl79_1
| ~ spl79_25 ),
inference(subsumption_resolution,[],[f3432,f872]) ).
fof(f3432,plain,
( ! [X8] :
( subset(relation_dom(relation_composition(sK5,X8)),sF74)
| ~ relation(sK5)
| ~ relation(X8) )
| ~ spl79_25 ),
inference(superposition,[],[f675,f980]) ).
fof(f675,plain,
! [X0,X1] :
( subset(relation_dom(relation_composition(X0,X1)),relation_dom(X0))
| ~ relation(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f422]) ).
fof(f422,plain,
! [X0] :
( ! [X1] :
( ~ relation(X1)
| subset(relation_dom(relation_composition(X0,X1)),relation_dom(X0)) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f175]) ).
fof(f175,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> subset(relation_dom(relation_composition(X0,X1)),relation_dom(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_relat_1) ).
fof(f12069,plain,
( ~ spl79_30
| spl79_268
| ~ spl79_20
| ~ spl79_92
| ~ spl79_265 ),
inference(avatar_split_clause,[],[f12039,f11900,f3146,f951,f12067,f1013]) ).
fof(f12067,plain,
( spl79_268
<=> sF78 = set_union2(sK3,sF78) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_268])]) ).
fof(f12039,plain,
( sF78 = set_union2(sK3,sF78)
| ~ empty(sK3)
| ~ spl79_20
| ~ spl79_92
| ~ spl79_265 ),
inference(forward_demodulation,[],[f12038,f541]) ).
fof(f12038,plain,
( sF78 = set_union2(sF78,sK3)
| ~ empty(sK3)
| ~ spl79_20
| ~ spl79_92
| ~ spl79_265 ),
inference(forward_demodulation,[],[f3227,f11901]) ).
fof(f3227,plain,
( set_union2(sF78,sK3) = relation_field(sK3)
| ~ empty(sK3)
| ~ spl79_20
| ~ spl79_92 ),
inference(superposition,[],[f3147,f1062]) ).
fof(f12065,plain,
( spl79_267
| ~ spl79_1
| ~ spl79_3
| ~ spl79_25
| ~ spl79_38 ),
inference(avatar_split_clause,[],[f10074,f1073,f979,f879,f871,f12063]) ).
fof(f12063,plain,
( spl79_267
<=> subset(relation_dom(sF75),sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_267])]) ).
fof(f10074,plain,
( subset(relation_dom(sF75),sF74)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_25
| ~ spl79_38 ),
inference(subsumption_resolution,[],[f10072,f880]) ).
fof(f10072,plain,
( ~ relation(sK3)
| subset(relation_dom(sF75),sF74)
| ~ spl79_1
| ~ spl79_25
| ~ spl79_38 ),
inference(superposition,[],[f3443,f1074]) ).
fof(f12059,plain,
( ~ spl79_30
| ~ spl79_1
| spl79_33
| ~ spl79_38 ),
inference(avatar_split_clause,[],[f12034,f1073,f1031,f871,f1013]) ).
fof(f12034,plain,
( ~ empty(sK3)
| ~ spl79_1
| spl79_33
| ~ spl79_38 ),
inference(subsumption_resolution,[],[f12033,f872]) ).
fof(f12033,plain,
( ~ relation(sK5)
| ~ empty(sK3)
| spl79_33
| ~ spl79_38 ),
inference(subsumption_resolution,[],[f2440,f1032]) ).
fof(f12058,plain,
( spl79_29
| ~ spl79_227
| ~ spl79_265 ),
inference(avatar_split_clause,[],[f12055,f11900,f10222,f1010]) ).
fof(f1010,plain,
( spl79_29
<=> relation(sF78) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_29])]) ).
fof(f12055,plain,
( relation(sF78)
| ~ spl79_227
| ~ spl79_265 ),
inference(forward_demodulation,[],[f10223,f11901]) ).
fof(f12032,plain,
( spl79_264
| ~ spl79_265 ),
inference(avatar_contradiction_clause,[],[f12031]) ).
fof(f12031,plain,
( $false
| spl79_264
| ~ spl79_265 ),
inference(subsumption_resolution,[],[f12030,f757]) ).
fof(f12030,plain,
( ~ subset(sF78,sF78)
| spl79_264
| ~ spl79_265 ),
inference(backward_demodulation,[],[f11898,f11901]) ).
fof(f11898,plain,
( ~ subset(relation_field(sK3),sF78)
| spl79_264 ),
inference(avatar_component_clause,[],[f11897]) ).
fof(f11897,plain,
( spl79_264
<=> subset(relation_field(sK3),sF78) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_264])]) ).
fof(f11984,plain,
( spl79_266
| spl79_265
| ~ spl79_100 ),
inference(avatar_split_clause,[],[f3306,f3297,f11900,f11982]) ).
fof(f11982,plain,
( spl79_266
<=> proper_subset(sF78,relation_field(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_266])]) ).
fof(f3306,plain,
( sF78 = relation_field(sK3)
| proper_subset(sF78,relation_field(sK3))
| ~ spl79_100 ),
inference(resolution,[],[f3298,f769]) ).
fof(f11943,plain,
( ~ spl79_257
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f11939,f3490,f1853,f1031,f11820]) ).
fof(f11820,plain,
( spl79_257
<=> empty(union(union(singleton(sK22(cartesian_product2(sF74,relation_rng(sF75))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_257])]) ).
fof(f1853,plain,
( spl79_49
<=> subset(sF75,cartesian_product2(sF76,relation_rng(sF75))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_49])]) ).
fof(f11939,plain,
( ~ empty(union(union(singleton(sK22(cartesian_product2(sF74,relation_rng(sF75)))))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(superposition,[],[f11797,f619]) ).
fof(f11797,plain,
( ! [X1] : ~ empty(union(union(unordered_pair(X1,sK22(cartesian_product2(sF74,relation_rng(sF75)))))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f9581,f1332]) ).
fof(f9581,plain,
( ! [X5] :
( ~ in(sK22(cartesian_product2(sF74,relation_rng(sF75))),X5)
| ~ empty(union(union(X5))) )
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f9256,f718]) ).
fof(f9256,plain,
( ! [X2] :
( ~ subset(sK22(cartesian_product2(sF74,relation_rng(sF75))),X2)
| ~ empty(union(X2)) )
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(superposition,[],[f8760,f497]) ).
fof(f8760,plain,
( ! [X1] : ~ empty(union(set_union2(sK22(cartesian_product2(sF74,relation_rng(sF75))),X1)))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(superposition,[],[f8523,f541]) ).
fof(f8523,plain,
( ! [X28] : ~ empty(union(set_union2(X28,sK22(cartesian_product2(sF74,relation_rng(sF75))))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f7437,f584]) ).
fof(f7437,plain,
( ! [X4,X5] :
( ~ in(cartesian_product2(sF74,relation_rng(sF75)),X5)
| ~ empty(union(set_union2(X4,X5))) )
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f7312,f4586]) ).
fof(f7312,plain,
( ! [X7] :
( ~ in(cartesian_product2(sF74,relation_rng(sF75)),X7)
| ~ empty(union(X7)) )
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f6947,f718]) ).
fof(f6947,plain,
( ! [X0] :
( ~ subset(cartesian_product2(sF74,relation_rng(sF75)),X0)
| ~ empty(X0) )
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(superposition,[],[f6920,f497]) ).
fof(f6920,plain,
( ! [X6] : ~ empty(set_union2(cartesian_product2(sF74,relation_rng(sF75)),X6))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(forward_demodulation,[],[f2938,f3491]) ).
fof(f3491,plain,
( sF74 = sF76
| ~ spl79_108 ),
inference(avatar_component_clause,[],[f3490]) ).
fof(f2938,plain,
( ! [X6] : ~ empty(set_union2(cartesian_product2(sF76,relation_rng(sF75)),X6))
| spl79_33
| ~ spl79_49 ),
inference(subsumption_resolution,[],[f2929,f1032]) ).
fof(f2929,plain,
( ! [X6] :
( ~ empty(set_union2(cartesian_product2(sF76,relation_rng(sF75)),X6))
| empty(sF75) )
| ~ spl79_49 ),
inference(resolution,[],[f2918,f1310]) ).
fof(f2918,plain,
( ! [X1] : subset(sF75,set_union2(cartesian_product2(sF76,relation_rng(sF75)),X1))
| ~ spl79_49 ),
inference(resolution,[],[f2243,f617]) ).
fof(f2243,plain,
( ! [X50] :
( ~ subset(cartesian_product2(sF76,relation_rng(sF75)),X50)
| subset(sF75,X50) )
| ~ spl79_49 ),
inference(resolution,[],[f747,f1854]) ).
fof(f1854,plain,
( subset(sF75,cartesian_product2(sF76,relation_rng(sF75)))
| ~ spl79_49 ),
inference(avatar_component_clause,[],[f1853]) ).
fof(f11924,plain,
( ~ spl79_257
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f11904,f3490,f1853,f1031,f11820]) ).
fof(f11904,plain,
( ~ empty(union(union(singleton(sK22(cartesian_product2(sF74,relation_rng(sF75)))))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(superposition,[],[f11796,f619]) ).
fof(f11796,plain,
( ! [X0] : ~ empty(union(union(unordered_pair(sK22(cartesian_product2(sF74,relation_rng(sF75))),X0))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f9581,f1325]) ).
fof(f11902,plain,
( ~ spl79_264
| spl79_265
| ~ spl79_100 ),
inference(avatar_split_clause,[],[f3305,f3297,f11900,f11897]) ).
fof(f3305,plain,
( sF78 = relation_field(sK3)
| ~ subset(relation_field(sK3),sF78)
| ~ spl79_100 ),
inference(resolution,[],[f3298,f860]) ).
fof(f11895,plain,
( ~ spl79_263
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f11815,f3490,f1853,f1031,f11893]) ).
fof(f11893,plain,
( spl79_263
<=> empty(union(union(sK73(sK22(cartesian_product2(sF74,relation_rng(sF75))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_263])]) ).
fof(f11815,plain,
( ~ empty(union(union(sK73(sK22(cartesian_product2(sF74,relation_rng(sF75)))))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f9581,f857]) ).
fof(f11885,plain,
( ~ spl79_262
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f11813,f3490,f1853,f1031,f11883]) ).
fof(f11883,plain,
( spl79_262
<=> empty(union(union(sK22(sK22(cartesian_product2(sF74,relation_rng(sF75))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_262])]) ).
fof(f11813,plain,
( ~ empty(union(union(sK22(sK22(cartesian_product2(sF74,relation_rng(sF75)))))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f9581,f584]) ).
fof(f11873,plain,
( spl79_261
| spl79_130
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f10537,f3490,f1594,f983,f4141,f11871]) ).
fof(f11871,plain,
( spl79_261
<=> ! [X16] :
( empty(relation_dom(relation_composition(sF75,X16)))
| ~ relation(X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_261])]) ).
fof(f4141,plain,
( spl79_130
<=> ! [X20,X19] :
( ~ empty(X20)
| ~ subset(sF74,X19)
| ~ subset(X19,X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_130])]) ).
fof(f10537,plain,
( ! [X16,X14,X15] :
( ~ subset(sF74,X14)
| ~ empty(X15)
| empty(relation_dom(relation_composition(sF75,X16)))
| ~ relation(X16)
| ~ subset(X14,X15) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f10129,f1310]) ).
fof(f10129,plain,
( ! [X8,X9,X7] :
( subset(relation_dom(relation_composition(sF75,X8)),X9)
| ~ subset(X7,X9)
| ~ relation(X8)
| ~ subset(sF74,X7) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f10098,f747]) ).
fof(f10098,plain,
( ! [X4,X5] :
( subset(relation_dom(relation_composition(sF75,X4)),X5)
| ~ subset(sF74,X5)
| ~ relation(X4) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f10093,f747]) ).
fof(f10093,plain,
( ! [X9] :
( subset(relation_dom(relation_composition(sF75,X9)),sF74)
| ~ relation(X9) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(forward_demodulation,[],[f3447,f3491]) ).
fof(f3447,plain,
( ! [X9] :
( subset(relation_dom(relation_composition(sF75,X9)),sF76)
| ~ relation(X9) )
| ~ spl79_26
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f3433,f1595]) ).
fof(f3433,plain,
( ! [X9] :
( subset(relation_dom(relation_composition(sF75,X9)),sF76)
| ~ relation(X9)
| ~ relation(sF75) )
| ~ spl79_26 ),
inference(superposition,[],[f675,f984]) ).
fof(f11867,plain,
( ~ spl79_259
| spl79_260
| ~ spl79_256 ),
inference(avatar_split_clause,[],[f11712,f11707,f11865,f11862]) ).
fof(f11862,plain,
( spl79_259
<=> subset(sF74,relation_rng(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_259])]) ).
fof(f11865,plain,
( spl79_260
<=> relation_rng(sK5) = sF74 ),
introduced(avatar_definition,[new_symbols(naming,[spl79_260])]) ).
fof(f11707,plain,
( spl79_256
<=> sF74 = set_union2(sF74,relation_rng(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_256])]) ).
fof(f11712,plain,
( relation_rng(sK5) = sF74
| ~ subset(sF74,relation_rng(sK5))
| ~ spl79_256 ),
inference(superposition,[],[f11708,f497]) ).
fof(f11708,plain,
( sF74 = set_union2(sF74,relation_rng(sK5))
| ~ spl79_256 ),
inference(avatar_component_clause,[],[f11707]) ).
fof(f11826,plain,
( spl79_258
| ~ spl79_32
| ~ spl79_20
| ~ spl79_256 ),
inference(avatar_split_clause,[],[f11736,f11707,f951,f1020,f11824]) ).
fof(f11824,plain,
( spl79_258
<=> set_union2(sK5,sF74) = sF74 ),
introduced(avatar_definition,[new_symbols(naming,[spl79_258])]) ).
fof(f11736,plain,
( ~ empty(sK5)
| set_union2(sK5,sF74) = sF74
| ~ spl79_20
| ~ spl79_256 ),
inference(forward_demodulation,[],[f11710,f541]) ).
fof(f11710,plain,
( set_union2(sF74,sK5) = sF74
| ~ empty(sK5)
| ~ spl79_20
| ~ spl79_256 ),
inference(superposition,[],[f11708,f1062]) ).
fof(f11822,plain,
( ~ spl79_257
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f11804,f3490,f1853,f1031,f11820]) ).
fof(f11804,plain,
( ~ empty(union(union(singleton(sK22(cartesian_product2(sF74,relation_rng(sF75)))))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f9581,f1175]) ).
fof(f11759,plain,
( ~ spl79_253
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f11748,f3490,f1853,f1031,f11592]) ).
fof(f11592,plain,
( spl79_253
<=> empty(union(union(singleton(powerset(cartesian_product2(sF74,relation_rng(sF75))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_253])]) ).
fof(f11748,plain,
( ~ empty(union(union(singleton(powerset(cartesian_product2(sF74,relation_rng(sF75)))))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(superposition,[],[f11567,f619]) ).
fof(f11567,plain,
( ! [X2] : ~ empty(union(union(unordered_pair(X2,powerset(cartesian_product2(sF74,relation_rng(sF75)))))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f9570,f1332]) ).
fof(f9570,plain,
( ! [X5] :
( ~ in(powerset(cartesian_product2(sF74,relation_rng(sF75))),X5)
| ~ empty(union(union(X5))) )
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f9189,f718]) ).
fof(f9189,plain,
( ! [X2] :
( ~ subset(powerset(cartesian_product2(sF74,relation_rng(sF75))),X2)
| ~ empty(union(X2)) )
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(superposition,[],[f8749,f497]) ).
fof(f8749,plain,
( ! [X1] : ~ empty(union(set_union2(powerset(cartesian_product2(sF74,relation_rng(sF75))),X1)))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(superposition,[],[f8515,f541]) ).
fof(f8515,plain,
( ! [X17] : ~ empty(union(set_union2(X17,powerset(cartesian_product2(sF74,relation_rng(sF75))))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f7437,f1550]) ).
fof(f11709,plain,
( spl79_256
| ~ spl79_91
| ~ spl79_244 ),
inference(avatar_split_clause,[],[f11080,f11074,f3141,f11707]) ).
fof(f3141,plain,
( spl79_91
<=> relation_field(sK5) = set_union2(sF74,relation_rng(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_91])]) ).
fof(f11074,plain,
( spl79_244
<=> relation_field(sK5) = sF74 ),
introduced(avatar_definition,[new_symbols(naming,[spl79_244])]) ).
fof(f11080,plain,
( sF74 = set_union2(sF74,relation_rng(sK5))
| ~ spl79_91
| ~ spl79_244 ),
inference(backward_demodulation,[],[f3142,f11075]) ).
fof(f11075,plain,
( relation_field(sK5) = sF74
| ~ spl79_244 ),
inference(avatar_component_clause,[],[f11074]) ).
fof(f3142,plain,
( relation_field(sK5) = set_union2(sF74,relation_rng(sK5))
| ~ spl79_91 ),
inference(avatar_component_clause,[],[f3141]) ).
fof(f11698,plain,
( ~ spl79_253
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f11670,f3490,f1853,f1031,f11592]) ).
fof(f11670,plain,
( ~ empty(union(union(singleton(powerset(cartesian_product2(sF74,relation_rng(sF75)))))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(superposition,[],[f11566,f619]) ).
fof(f11566,plain,
( ! [X1] : ~ empty(union(union(unordered_pair(powerset(cartesian_product2(sF74,relation_rng(sF75))),X1))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f9570,f1325]) ).
fof(f11627,plain,
( ~ spl79_255
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f11585,f3490,f1853,f1031,f11625]) ).
fof(f11625,plain,
( spl79_255
<=> empty(union(union(sK73(powerset(cartesian_product2(sF74,relation_rng(sF75))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_255])]) ).
fof(f11585,plain,
( ~ empty(union(union(sK73(powerset(cartesian_product2(sF74,relation_rng(sF75)))))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f9570,f857]) ).
fof(f11623,plain,
( ~ spl79_254
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f11583,f3490,f1853,f1031,f11621]) ).
fof(f11621,plain,
( spl79_254
<=> empty(union(union(sK22(powerset(cartesian_product2(sF74,relation_rng(sF75))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_254])]) ).
fof(f11583,plain,
( ~ empty(union(union(sK22(powerset(cartesian_product2(sF74,relation_rng(sF75)))))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f9570,f584]) ).
fof(f11594,plain,
( ~ spl79_253
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f11574,f3490,f1853,f1031,f11592]) ).
fof(f11574,plain,
( ~ empty(union(union(singleton(powerset(cartesian_product2(sF74,relation_rng(sF75)))))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f9570,f1175]) ).
fof(f11563,plain,
( ~ spl79_252
| spl79_188
| ~ spl79_244 ),
inference(avatar_split_clause,[],[f11119,f11074,f8274,f11561]) ).
fof(f11561,plain,
( spl79_252
<=> empty(union(sK73(sF74))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_252])]) ).
fof(f8274,plain,
( spl79_188
<=> empty(union(sK73(relation_field(sK5)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_188])]) ).
fof(f11119,plain,
( ~ empty(union(sK73(sF74)))
| spl79_188
| ~ spl79_244 ),
inference(backward_demodulation,[],[f8275,f11075]) ).
fof(f8275,plain,
( ~ empty(union(sK73(relation_field(sK5))))
| spl79_188 ),
inference(avatar_component_clause,[],[f8274]) ).
fof(f11544,plain,
( ~ spl79_251
| spl79_187
| ~ spl79_244 ),
inference(avatar_split_clause,[],[f11118,f11074,f8270,f11542]) ).
fof(f11542,plain,
( spl79_251
<=> empty(union(sK22(sF74))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_251])]) ).
fof(f8270,plain,
( spl79_187
<=> empty(union(sK22(relation_field(sK5)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_187])]) ).
fof(f11118,plain,
( ~ empty(union(sK22(sF74)))
| spl79_187
| ~ spl79_244 ),
inference(backward_demodulation,[],[f8271,f11075]) ).
fof(f8271,plain,
( ~ empty(union(sK22(relation_field(sK5))))
| spl79_187 ),
inference(avatar_component_clause,[],[f8270]) ).
fof(f11496,plain,
( ~ spl79_250
| spl79_186
| ~ spl79_244 ),
inference(avatar_split_clause,[],[f11117,f11074,f8266,f11494]) ).
fof(f11494,plain,
( spl79_250
<=> empty(union(singleton(sF74))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_250])]) ).
fof(f8266,plain,
( spl79_186
<=> empty(union(singleton(relation_field(sK5)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_186])]) ).
fof(f11117,plain,
( ~ empty(union(singleton(sF74)))
| spl79_186
| ~ spl79_244 ),
inference(backward_demodulation,[],[f8267,f11075]) ).
fof(f8267,plain,
( ~ empty(union(singleton(relation_field(sK5))))
| spl79_186 ),
inference(avatar_component_clause,[],[f8266]) ).
fof(f11487,plain,
( ~ spl79_231
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f11480,f3490,f1853,f1031,f10522]) ).
fof(f10522,plain,
( spl79_231
<=> empty(union(union(singleton(singleton(cartesian_product2(sF74,relation_rng(sF75))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_231])]) ).
fof(f11480,plain,
( ~ empty(union(union(singleton(singleton(cartesian_product2(sF74,relation_rng(sF75)))))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(superposition,[],[f10189,f1230]) ).
fof(f10189,plain,
( ! [X3] : ~ empty(union(union(set_union2(X3,singleton(singleton(cartesian_product2(sF74,relation_rng(sF75))))))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f8501,f1240]) ).
fof(f8501,plain,
( ! [X6] :
( ~ in(singleton(cartesian_product2(sF74,relation_rng(sF75))),X6)
| ~ empty(union(union(X6))) )
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f8123,f718]) ).
fof(f8123,plain,
( ! [X1] :
( ~ subset(singleton(cartesian_product2(sF74,relation_rng(sF75))),X1)
| ~ empty(union(X1)) )
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(superposition,[],[f7435,f497]) ).
fof(f7435,plain,
( ! [X2] : ~ empty(union(set_union2(singleton(cartesian_product2(sF74,relation_rng(sF75))),X2)))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f7312,f1176]) ).
fof(f11482,plain,
( ~ spl79_231
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f11475,f3490,f1853,f1031,f10522]) ).
fof(f11475,plain,
( ~ empty(union(union(singleton(singleton(cartesian_product2(sF74,relation_rng(sF75)))))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(superposition,[],[f10189,f513]) ).
fof(f11464,plain,
( ~ spl79_249
| ~ spl79_248 ),
inference(avatar_split_clause,[],[f11438,f11360,f11461]) ).
fof(f11461,plain,
( spl79_249
<=> proper_subset(sF74,relation_rng(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_249])]) ).
fof(f11360,plain,
( spl79_248
<=> subset(relation_rng(sK5),sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_248])]) ).
fof(f11438,plain,
( ~ proper_subset(sF74,relation_rng(sK5))
| ~ spl79_248 ),
inference(resolution,[],[f11361,f742]) ).
fof(f11361,plain,
( subset(relation_rng(sK5),sF74)
| ~ spl79_248 ),
inference(avatar_component_clause,[],[f11360]) ).
fof(f11463,plain,
( ~ spl79_249
| spl79_98
| ~ spl79_244 ),
inference(avatar_split_clause,[],[f11086,f11074,f3213,f11461]) ).
fof(f3213,plain,
( spl79_98
<=> proper_subset(relation_field(sK5),relation_rng(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_98])]) ).
fof(f11086,plain,
( ~ proper_subset(sF74,relation_rng(sK5))
| spl79_98
| ~ spl79_244 ),
inference(backward_demodulation,[],[f3214,f11075]) ).
fof(f3214,plain,
( ~ proper_subset(relation_field(sK5),relation_rng(sK5))
| spl79_98 ),
inference(avatar_component_clause,[],[f3213]) ).
fof(f11459,plain,
( ~ spl79_231
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f11374,f3490,f1853,f1031,f10522]) ).
fof(f11374,plain,
( ~ empty(union(union(singleton(singleton(cartesian_product2(sF74,relation_rng(sF75)))))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(superposition,[],[f10188,f612]) ).
fof(f10188,plain,
( ! [X2] : ~ empty(union(union(set_union2(singleton(singleton(cartesian_product2(sF74,relation_rng(sF75)))),X2))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f8501,f1176]) ).
fof(f11458,plain,
( ~ spl79_231
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f11369,f3490,f1853,f1031,f10522]) ).
fof(f11369,plain,
( ~ empty(union(union(singleton(singleton(cartesian_product2(sF74,relation_rng(sF75)))))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(superposition,[],[f10188,f513]) ).
fof(f11362,plain,
( spl79_248
| ~ spl79_97
| ~ spl79_244 ),
inference(avatar_split_clause,[],[f11085,f11074,f3199,f11360]) ).
fof(f11085,plain,
( subset(relation_rng(sK5),sF74)
| ~ spl79_97
| ~ spl79_244 ),
inference(backward_demodulation,[],[f3200,f11075]) ).
fof(f11211,plain,
( ~ spl79_247
| spl79_189
| ~ spl79_244 ),
inference(avatar_split_clause,[],[f11120,f11074,f8278,f11209]) ).
fof(f11209,plain,
( spl79_247
<=> empty(union(sF74)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_247])]) ).
fof(f8278,plain,
( spl79_189
<=> empty(union(relation_field(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_189])]) ).
fof(f11120,plain,
( ~ empty(union(sF74))
| spl79_189
| ~ spl79_244 ),
inference(backward_demodulation,[],[f8279,f11075]) ).
fof(f8279,plain,
( ~ empty(union(relation_field(sK5)))
| spl79_189 ),
inference(avatar_component_clause,[],[f8278]) ).
fof(f11180,plain,
( ~ spl79_246
| spl79_168
| ~ spl79_244 ),
inference(avatar_split_clause,[],[f11112,f11074,f6571,f11178]) ).
fof(f11178,plain,
( spl79_246
<=> in(sF74,sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_246])]) ).
fof(f6571,plain,
( spl79_168
<=> in(relation_field(sK5),sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_168])]) ).
fof(f11112,plain,
( ~ in(sF74,sF74)
| spl79_168
| ~ spl79_244 ),
inference(backward_demodulation,[],[f6572,f11075]) ).
fof(f6572,plain,
( ~ in(relation_field(sK5),sF74)
| spl79_168 ),
inference(avatar_component_clause,[],[f6571]) ).
fof(f11079,plain,
( spl79_244
| ~ spl79_245
| ~ spl79_95 ),
inference(avatar_split_clause,[],[f3192,f3174,f11077,f11074]) ).
fof(f11077,plain,
( spl79_245
<=> subset(relation_field(sK5),sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_245])]) ).
fof(f3192,plain,
( ~ subset(relation_field(sK5),sF74)
| relation_field(sK5) = sF74
| ~ spl79_95 ),
inference(resolution,[],[f3175,f860]) ).
fof(f11046,plain,
( ~ spl79_243
| ~ spl79_241 ),
inference(avatar_split_clause,[],[f10976,f10937,f11044]) ).
fof(f11044,plain,
( spl79_243
<=> in(sF78,sK40(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_243])]) ).
fof(f10976,plain,
( ~ in(sF78,sK40(sK3))
| ~ spl79_241 ),
inference(resolution,[],[f10938,f498]) ).
fof(f11042,plain,
( spl79_242
| ~ spl79_241 ),
inference(avatar_split_clause,[],[f10975,f10937,f11040]) ).
fof(f10975,plain,
( element(sK40(sK3),sF78)
| ~ spl79_241 ),
inference(resolution,[],[f10938,f831]) ).
fof(f10939,plain,
( spl79_241
| spl79_72
| ~ spl79_3
| ~ spl79_51 ),
inference(avatar_split_clause,[],[f10935,f1861,f879,f2597,f10937]) ).
fof(f10935,plain,
( empty_set = sK3
| in(sK40(sK3),sF78)
| ~ spl79_3
| ~ spl79_51 ),
inference(subsumption_resolution,[],[f10932,f880]) ).
fof(f10932,plain,
( empty_set = sK3
| in(sK40(sK3),sF78)
| ~ relation(sK3)
| ~ spl79_51 ),
inference(resolution,[],[f3062,f698]) ).
fof(f10868,plain,
( ~ spl79_85
| spl79_240
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f10842,f3490,f1853,f1031,f10866,f3025]) ).
fof(f10866,plain,
( spl79_240
<=> ! [X2,X1] :
( ~ subset(sF74,X1)
| ~ empty(cartesian_product2(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_240])]) ).
fof(f10842,plain,
( ! [X2,X1] :
( ~ subset(sF74,X1)
| ~ empty(cartesian_product2(X1,X2))
| ~ empty(relation_rng(sF75)) )
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f10315,f1057]) ).
fof(f10315,plain,
( ! [X6,X7] :
( ~ subset(relation_rng(sF75),X6)
| ~ subset(sF74,X7)
| ~ empty(cartesian_product2(X7,X6)) )
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f796,f6947]) ).
fof(f796,plain,
! [X2,X3,X0,X1] :
( subset(cartesian_product2(X2,X3),cartesian_product2(X0,X1))
| ~ subset(X3,X1)
| ~ subset(X2,X0) ),
inference(cnf_transformation,[],[f318]) ).
fof(f318,plain,
! [X2,X0,X1,X3] :
( ~ subset(X3,X1)
| subset(cartesian_product2(X2,X3),cartesian_product2(X0,X1))
| ~ subset(X2,X0) ),
inference(flattening,[],[f317]) ).
fof(f317,plain,
! [X0,X3,X1,X2] :
( subset(cartesian_product2(X2,X3),cartesian_product2(X0,X1))
| ~ subset(X3,X1)
| ~ subset(X2,X0) ),
inference(ennf_transformation,[],[f258]) ).
fof(f258,plain,
! [X0,X3,X1,X2] :
( ( subset(X3,X1)
& subset(X2,X0) )
=> subset(cartesian_product2(X2,X3),cartesian_product2(X0,X1)) ),
inference(rectify,[],[f129]) ).
fof(f129,axiom,
! [X1,X3,X0,X2] :
( ( subset(X2,X3)
& subset(X0,X1) )
=> subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t119_zfmisc_1) ).
fof(f10799,plain,
( ~ spl79_32
| spl79_239
| ~ spl79_20
| ~ spl79_202 ),
inference(avatar_split_clause,[],[f9446,f9424,f951,f10797,f1020]) ).
fof(f10797,plain,
( spl79_239
<=> relation_image(sK3,sK5) = relation_rng(sF75) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_239])]) ).
fof(f9424,plain,
( spl79_202
<=> relation_image(sK3,relation_rng(sK5)) = relation_rng(sF75) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_202])]) ).
fof(f9446,plain,
( relation_image(sK3,sK5) = relation_rng(sF75)
| ~ empty(sK5)
| ~ spl79_20
| ~ spl79_202 ),
inference(superposition,[],[f9425,f1062]) ).
fof(f9425,plain,
( relation_image(sK3,relation_rng(sK5)) = relation_rng(sF75)
| ~ spl79_202 ),
inference(avatar_component_clause,[],[f9424]) ).
fof(f10794,plain,
( ~ spl79_231
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f10744,f3490,f1853,f1031,f10522]) ).
fof(f10744,plain,
( ~ empty(union(union(singleton(singleton(cartesian_product2(sF74,relation_rng(sF75)))))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(superposition,[],[f10187,f619]) ).
fof(f10187,plain,
( ! [X1] : ~ empty(union(union(unordered_pair(X1,singleton(cartesian_product2(sF74,relation_rng(sF75)))))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f8501,f1332]) ).
fof(f10752,plain,
( ~ spl79_238
| ~ spl79_236 ),
inference(avatar_split_clause,[],[f10726,f10722,f10750]) ).
fof(f10726,plain,
( ~ in(relation_field(sK3),sK53(relation_rng(sK3)))
| ~ spl79_236 ),
inference(resolution,[],[f10723,f498]) ).
fof(f10740,plain,
( ~ spl79_231
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f10736,f3490,f1853,f1031,f10522]) ).
fof(f10736,plain,
( ~ empty(union(union(singleton(singleton(cartesian_product2(sF74,relation_rng(sF75)))))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(superposition,[],[f10186,f619]) ).
fof(f10186,plain,
( ! [X0] : ~ empty(union(union(unordered_pair(singleton(cartesian_product2(sF74,relation_rng(sF75))),X0))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f8501,f1325]) ).
fof(f10732,plain,
( spl79_237
| ~ spl79_236 ),
inference(avatar_split_clause,[],[f10725,f10722,f10730]) ).
fof(f10730,plain,
( spl79_237
<=> element(sK53(relation_rng(sK3)),relation_field(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_237])]) ).
fof(f10725,plain,
( element(sK53(relation_rng(sK3)),relation_field(sK3))
| ~ spl79_236 ),
inference(resolution,[],[f10723,f831]) ).
fof(f10724,plain,
( spl79_236
| spl79_82
| ~ spl79_92 ),
inference(avatar_split_clause,[],[f10683,f3146,f2843,f10722]) ).
fof(f10683,plain,
( in(sK53(relation_rng(sK3)),relation_field(sK3))
| spl79_82
| ~ spl79_92 ),
inference(subsumption_resolution,[],[f10677,f2844]) ).
fof(f10677,plain,
( in(sK53(relation_rng(sK3)),relation_field(sK3))
| empty(relation_rng(sK3))
| ~ spl79_92 ),
inference(resolution,[],[f4629,f1545]) ).
fof(f4629,plain,
( ! [X25] :
( ~ in(X25,relation_rng(sK3))
| in(X25,relation_field(sK3)) )
| ~ spl79_92 ),
inference(superposition,[],[f4586,f3147]) ).
fof(f10570,plain,
( ~ spl79_31
| spl79_234
| ~ spl79_235
| ~ spl79_138 ),
inference(avatar_split_clause,[],[f4433,f4391,f10568,f10565,f1017]) ).
fof(f1017,plain,
( spl79_31
<=> relation(sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_31])]) ).
fof(f10565,plain,
( spl79_234
<=> relation(relation_field(sF75)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_234])]) ).
fof(f4391,plain,
( spl79_138
<=> relation_field(sF75) = set_union2(sF74,relation_rng(sF75)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_138])]) ).
fof(f4433,plain,
( ~ relation(relation_rng(sF75))
| relation(relation_field(sF75))
| ~ relation(sF74)
| ~ spl79_138 ),
inference(superposition,[],[f792,f4392]) ).
fof(f4392,plain,
( relation_field(sF75) = set_union2(sF74,relation_rng(sF75))
| ~ spl79_138 ),
inference(avatar_component_clause,[],[f4391]) ).
fof(f792,plain,
! [X0,X1] :
( relation(set_union2(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f427]) ).
fof(f427,plain,
! [X0,X1] :
( relation(set_union2(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(flattening,[],[f426]) ).
fof(f426,plain,
! [X0,X1] :
( relation(set_union2(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0,X1] :
( ( relation(X0)
& relation(X1) )
=> relation(set_union2(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_relat_1) ).
fof(f10532,plain,
( ~ spl79_233
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f10204,f3490,f1853,f1031,f10530]) ).
fof(f10530,plain,
( spl79_233
<=> empty(union(union(sK73(singleton(cartesian_product2(sF74,relation_rng(sF75))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_233])]) ).
fof(f10204,plain,
( ~ empty(union(union(sK73(singleton(cartesian_product2(sF74,relation_rng(sF75)))))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f8501,f857]) ).
fof(f10528,plain,
( ~ spl79_232
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f10202,f3490,f1853,f1031,f10526]) ).
fof(f10526,plain,
( spl79_232
<=> empty(union(union(sK22(singleton(cartesian_product2(sF74,relation_rng(sF75))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_232])]) ).
fof(f10202,plain,
( ~ empty(union(union(sK22(singleton(cartesian_product2(sF74,relation_rng(sF75)))))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f8501,f584]) ).
fof(f10524,plain,
( ~ spl79_231
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f10193,f3490,f1853,f1031,f10522]) ).
fof(f10193,plain,
( ~ empty(union(union(singleton(singleton(cartesian_product2(sF74,relation_rng(sF75)))))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f8501,f1175]) ).
fof(f10354,plain,
( ~ spl79_230
| spl79_33
| ~ spl79_49
| ~ spl79_108
| ~ spl79_228 ),
inference(avatar_split_clause,[],[f10265,f10262,f3490,f1853,f1031,f10352]) ).
fof(f10265,plain,
( ~ empty(cartesian_product2(sF74,relation_field(sK3)))
| spl79_33
| ~ spl79_49
| ~ spl79_108
| ~ spl79_228 ),
inference(resolution,[],[f10263,f7310]) ).
fof(f7310,plain,
( ! [X6] :
( ~ subset(relation_rng(sF75),X6)
| ~ empty(cartesian_product2(sF74,X6)) )
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f6947,f563]) ).
fof(f10276,plain,
( ~ spl79_229
| ~ spl79_228 ),
inference(avatar_split_clause,[],[f10271,f10262,f10274]) ).
fof(f10271,plain,
( ~ proper_subset(relation_field(sK3),relation_rng(sF75))
| ~ spl79_228 ),
inference(resolution,[],[f10263,f742]) ).
fof(f10264,plain,
( spl79_228
| ~ spl79_102
| ~ spl79_104 ),
inference(avatar_split_clause,[],[f10258,f3378,f3312,f10262]) ).
fof(f10258,plain,
( subset(relation_rng(sF75),relation_field(sK3))
| ~ spl79_102
| ~ spl79_104 ),
inference(resolution,[],[f3385,f3313]) ).
fof(f10224,plain,
( ~ spl79_226
| spl79_227
| ~ spl79_29
| ~ spl79_92 ),
inference(avatar_split_clause,[],[f3234,f3146,f1010,f10222,f10219]) ).
fof(f10219,plain,
( spl79_226
<=> relation(relation_rng(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_226])]) ).
fof(f3234,plain,
( ~ relation(sF78)
| relation(relation_field(sK3))
| ~ relation(relation_rng(sK3))
| ~ spl79_92 ),
inference(superposition,[],[f792,f3147]) ).
fof(f10213,plain,
( ~ spl79_32
| spl79_225
| ~ spl79_20
| ~ spl79_91 ),
inference(avatar_split_clause,[],[f3166,f3141,f951,f10211,f1020]) ).
fof(f10211,plain,
( spl79_225
<=> set_union2(sK5,sF74) = relation_field(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_225])]) ).
fof(f3166,plain,
( set_union2(sK5,sF74) = relation_field(sK5)
| ~ empty(sK5)
| ~ spl79_20
| ~ spl79_91 ),
inference(forward_demodulation,[],[f3153,f541]) ).
fof(f3153,plain,
( ~ empty(sK5)
| set_union2(sF74,sK5) = relation_field(sK5)
| ~ spl79_20
| ~ spl79_91 ),
inference(superposition,[],[f3142,f1062]) ).
fof(f10185,plain,
( ~ spl79_31
| spl79_223
| ~ spl79_224
| ~ spl79_91 ),
inference(avatar_split_clause,[],[f3160,f3141,f10183,f10180,f1017]) ).
fof(f10180,plain,
( spl79_223
<=> relation(relation_field(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_223])]) ).
fof(f10183,plain,
( spl79_224
<=> relation(relation_rng(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_224])]) ).
fof(f3160,plain,
( ~ relation(relation_rng(sK5))
| relation(relation_field(sK5))
| ~ relation(sF74)
| ~ spl79_91 ),
inference(superposition,[],[f792,f3142]) ).
fof(f9973,plain,
( spl79_129
| spl79_221
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f9846,f3490,f1594,f983,f9966,f4138]) ).
fof(f9966,plain,
( spl79_221
<=> ! [X6,X7] :
( ~ subset(sF74,set_intersection2(X6,X7))
| ~ empty(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_221])]) ).
fof(f9846,plain,
( ! [X8,X6,X7] :
( ~ subset(sF74,set_intersection2(X6,X7))
| empty(relation_inverse_image(sF75,X8))
| ~ empty(X7) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f4217,f745]) ).
fof(f4217,plain,
( ! [X14,X12,X13] :
( in(sK53(relation_inverse_image(sF75,X12)),X14)
| ~ subset(sF74,set_intersection2(X13,X14))
| empty(relation_inverse_image(sF75,X12)) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f3868,f4110]) ).
fof(f4110,plain,
! [X2,X3,X0] :
( ~ in(X3,set_intersection2(X2,X0))
| in(X3,X0) ),
inference(gaussian_variable_elimination,[],[f600]) ).
fof(f600,plain,
! [X2,X3,X0,X1] :
( set_intersection2(X2,X0) != X1
| in(X3,X0)
| ~ in(X3,X1) ),
inference(cnf_transformation,[],[f261]) ).
fof(f261,plain,
! [X1,X2,X0] :
( set_intersection2(X2,X0) = X1
<=> ! [X3] :
( in(X3,X1)
<=> ( in(X3,X0)
& in(X3,X2) ) ) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X1,X2,X0] :
( set_intersection2(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
& in(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f3868,plain,
( ! [X16,X17] :
( in(sK53(relation_inverse_image(sF75,X16)),X17)
| empty(relation_inverse_image(sF75,X16))
| ~ subset(sF74,X17) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f3775,f1545]) ).
fof(f3775,plain,
( ! [X8,X9,X7] :
( ~ in(X8,relation_inverse_image(sF75,X9))
| in(X8,X7)
| ~ subset(sF74,X7) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f3749,f529]) ).
fof(f3749,plain,
( ! [X4,X5] :
( subset(relation_inverse_image(sF75,X5),X4)
| ~ subset(sF74,X4) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f3673,f747]) ).
fof(f3673,plain,
( ! [X1] : subset(relation_inverse_image(sF75,X1),sF74)
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(backward_demodulation,[],[f3550,f3491]) ).
fof(f9972,plain,
( spl79_222
| spl79_220
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f9781,f3490,f1594,f983,f9963,f9970]) ).
fof(f9970,plain,
( spl79_222
<=> ! [X7,X8] :
( ~ empty(X7)
| ~ subset(sF74,set_intersection2(X7,X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_222])]) ).
fof(f9963,plain,
( spl79_220
<=> ! [X8] : relation(relation_inverse_image(sF75,X8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_220])]) ).
fof(f9781,plain,
( ! [X8,X6,X7] :
( relation(relation_inverse_image(sF75,X6))
| ~ empty(X7)
| ~ subset(sF74,set_intersection2(X7,X8)) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f4194,f745]) ).
fof(f4194,plain,
( ! [X16,X17,X15] :
( in(sK49(relation_inverse_image(sF75,X17)),X15)
| relation(relation_inverse_image(sF75,X17))
| ~ subset(sF74,set_intersection2(X15,X16)) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f3867,f3900]) ).
fof(f3900,plain,
! [X2,X3,X0] :
( ~ in(X3,set_intersection2(X2,X0))
| in(X3,X2) ),
inference(gaussian_variable_elimination,[],[f599]) ).
fof(f599,plain,
! [X2,X3,X0,X1] :
( set_intersection2(X2,X0) != X1
| ~ in(X3,X1)
| in(X3,X2) ),
inference(cnf_transformation,[],[f261]) ).
fof(f3867,plain,
( ! [X14,X15] :
( in(sK49(relation_inverse_image(sF75,X14)),X15)
| ~ subset(sF74,X15)
| relation(relation_inverse_image(sF75,X14)) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f3775,f737]) ).
fof(f9968,plain,
( spl79_220
| spl79_221
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f9732,f3490,f1594,f983,f9966,f9963]) ).
fof(f9732,plain,
( ! [X8,X6,X7] :
( ~ subset(sF74,set_intersection2(X6,X7))
| ~ empty(X7)
| relation(relation_inverse_image(sF75,X8)) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f4193,f745]) ).
fof(f4193,plain,
( ! [X14,X12,X13] :
( in(sK49(relation_inverse_image(sF75,X14)),X13)
| ~ subset(sF74,set_intersection2(X12,X13))
| relation(relation_inverse_image(sF75,X14)) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f3867,f4110]) ).
fof(f9961,plain,
( ~ spl79_157
| ~ spl79_219
| ~ spl79_124
| ~ spl79_138 ),
inference(avatar_split_clause,[],[f9550,f4391,f4099,f9959,f5015]) ).
fof(f9959,plain,
( spl79_219
<=> subset(sF74,relation_rng(sF75)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_219])]) ).
fof(f4099,plain,
( spl79_124
<=> ! [X0] :
( ~ subset(X0,empty_set)
| ~ subset(sF74,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_124])]) ).
fof(f9550,plain,
( ~ subset(sF74,relation_rng(sF75))
| ~ empty(relation_field(sF75))
| ~ spl79_124
| ~ spl79_138 ),
inference(superposition,[],[f7549,f4392]) ).
fof(f7549,plain,
( ! [X3,X4] :
( ~ empty(set_union2(X4,X3))
| ~ subset(sF74,X3) )
| ~ spl79_124 ),
inference(superposition,[],[f7503,f497]) ).
fof(f7503,plain,
( ! [X8,X7] : ~ empty(set_union2(X7,set_union2(sF74,X8)))
| ~ spl79_124 ),
inference(resolution,[],[f4272,f1235]) ).
fof(f4272,plain,
( ! [X0,X1] :
( ~ subset(set_union2(sF74,X1),X0)
| ~ empty(X0) )
| ~ spl79_124 ),
inference(superposition,[],[f4238,f828]) ).
fof(f4238,plain,
( ! [X1] : ~ subset(set_union2(sF74,X1),empty_set)
| ~ spl79_124 ),
inference(resolution,[],[f4100,f617]) ).
fof(f4100,plain,
( ! [X0] :
( ~ subset(sF74,X0)
| ~ subset(X0,empty_set) )
| ~ spl79_124 ),
inference(avatar_component_clause,[],[f4099]) ).
fof(f9937,plain,
( ~ spl79_212
| ~ spl79_218
| ~ spl79_1
| ~ spl79_3
| ~ spl79_25
| spl79_30
| ~ spl79_51 ),
inference(avatar_split_clause,[],[f9722,f1861,f1013,f979,f879,f871,f9935,f9727]) ).
fof(f9727,plain,
( spl79_212
<=> empty(cartesian_product2(sF78,sF74)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_212])]) ).
fof(f9935,plain,
( spl79_218
<=> subset(sK3,relation_inverse(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_218])]) ).
fof(f9722,plain,
( ~ subset(sK3,relation_inverse(sK5))
| ~ empty(cartesian_product2(sF78,sF74))
| ~ spl79_1
| ~ spl79_3
| ~ spl79_25
| spl79_30
| ~ spl79_51 ),
inference(subsumption_resolution,[],[f9713,f872]) ).
fof(f9713,plain,
( ~ empty(cartesian_product2(sF78,sF74))
| ~ relation(sK5)
| ~ subset(sK3,relation_inverse(sK5))
| ~ spl79_3
| ~ spl79_25
| spl79_30
| ~ spl79_51 ),
inference(superposition,[],[f8393,f980]) ).
fof(f8393,plain,
( ! [X4] :
( ~ empty(cartesian_product2(sF78,relation_dom(X4)))
| ~ subset(sK3,relation_inverse(X4))
| ~ relation(X4) )
| ~ spl79_3
| spl79_30
| ~ spl79_51 ),
inference(subsumption_resolution,[],[f8391,f829]) ).
fof(f829,plain,
! [X0] :
( relation(relation_inverse(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f416]) ).
fof(f416,plain,
! [X0] :
( relation(relation_inverse(X0))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0] :
( relation(X0)
=> relation(relation_inverse(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_relat_1) ).
fof(f8391,plain,
( ! [X4] :
( ~ relation(relation_inverse(X4))
| ~ empty(cartesian_product2(sF78,relation_dom(X4)))
| ~ relation(X4)
| ~ subset(sK3,relation_inverse(X4)) )
| ~ spl79_3
| spl79_30
| ~ spl79_51 ),
inference(superposition,[],[f7494,f799]) ).
fof(f799,plain,
! [X0] :
( relation_dom(X0) = relation_rng(relation_inverse(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f343]) ).
fof(f343,plain,
! [X0] :
( ( relation_dom(X0) = relation_rng(relation_inverse(X0))
& relation_rng(X0) = relation_dom(relation_inverse(X0)) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f163]) ).
fof(f163,axiom,
! [X0] :
( relation(X0)
=> ( relation_dom(X0) = relation_rng(relation_inverse(X0))
& relation_rng(X0) = relation_dom(relation_inverse(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_relat_1) ).
fof(f7494,plain,
( ! [X0] :
( ~ empty(cartesian_product2(sF78,relation_rng(X0)))
| ~ relation(X0)
| ~ subset(sK3,X0) )
| ~ spl79_3
| spl79_30
| ~ spl79_51 ),
inference(subsumption_resolution,[],[f7471,f880]) ).
fof(f7471,plain,
( ! [X0] :
( ~ subset(sK3,X0)
| ~ empty(cartesian_product2(sF78,relation_rng(X0)))
| ~ relation(X0)
| ~ relation(sK3) )
| spl79_30
| ~ spl79_51 ),
inference(resolution,[],[f557,f2827]) ).
fof(f2827,plain,
( ! [X4] :
( ~ subset(relation_rng(sK3),X4)
| ~ empty(cartesian_product2(sF78,X4)) )
| spl79_30
| ~ spl79_51 ),
inference(resolution,[],[f2782,f563]) ).
fof(f2782,plain,
( ! [X0] :
( ~ subset(cartesian_product2(sF78,relation_rng(sK3)),X0)
| ~ empty(X0) )
| spl79_30
| ~ spl79_51 ),
inference(superposition,[],[f2779,f497]) ).
fof(f2779,plain,
( ! [X6] : ~ empty(set_union2(cartesian_product2(sF78,relation_rng(sK3)),X6))
| spl79_30
| ~ spl79_51 ),
inference(subsumption_resolution,[],[f2770,f1014]) ).
fof(f1014,plain,
( ~ empty(sK3)
| spl79_30 ),
inference(avatar_component_clause,[],[f1013]) ).
fof(f2770,plain,
( ! [X6] :
( ~ empty(set_union2(cartesian_product2(sF78,relation_rng(sK3)),X6))
| empty(sK3) )
| ~ spl79_51 ),
inference(resolution,[],[f2759,f1310]) ).
fof(f2759,plain,
( ! [X1] : subset(sK3,set_union2(cartesian_product2(sF78,relation_rng(sK3)),X1))
| ~ spl79_51 ),
inference(resolution,[],[f2241,f617]) ).
fof(f2241,plain,
( ! [X48] :
( ~ subset(cartesian_product2(sF78,relation_rng(sK3)),X48)
| subset(sK3,X48) )
| ~ spl79_51 ),
inference(resolution,[],[f747,f1862]) ).
fof(f557,plain,
! [X0,X1] :
( subset(relation_rng(X0),relation_rng(X1))
| ~ subset(X0,X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f381]) ).
fof(f9933,plain,
( ~ spl79_195
| ~ spl79_217
| ~ spl79_3
| ~ spl79_10
| ~ spl79_19
| spl79_30
| ~ spl79_51 ),
inference(avatar_split_clause,[],[f9720,f1861,f1013,f947,f908,f879,f9931,f8424]) ).
fof(f8424,plain,
( spl79_195
<=> empty(cartesian_product2(sF78,empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_195])]) ).
fof(f9931,plain,
( spl79_217
<=> subset(sK3,relation_inverse(empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_217])]) ).
fof(f9720,plain,
( ~ subset(sK3,relation_inverse(empty_set))
| ~ empty(cartesian_product2(sF78,empty_set))
| ~ spl79_3
| ~ spl79_10
| ~ spl79_19
| spl79_30
| ~ spl79_51 ),
inference(subsumption_resolution,[],[f9710,f909]) ).
fof(f9710,plain,
( ~ subset(sK3,relation_inverse(empty_set))
| ~ relation(empty_set)
| ~ empty(cartesian_product2(sF78,empty_set))
| ~ spl79_3
| ~ spl79_19
| spl79_30
| ~ spl79_51 ),
inference(superposition,[],[f8393,f948]) ).
fof(f9841,plain,
( spl79_215
| spl79_216
| ~ spl79_3
| ~ spl79_26
| ~ spl79_27
| ~ spl79_48
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f4195,f3490,f1594,f987,f983,f879,f9839,f9836]) ).
fof(f9836,plain,
( spl79_215
<=> ! [X18] : ~ subset(sF74,relation_inverse_image(sK3,X18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_215])]) ).
fof(f9839,plain,
( spl79_216
<=> ! [X19] :
( in(sK49(relation_inverse_image(sF75,X19)),sF78)
| relation(relation_inverse_image(sF75,X19)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_216])]) ).
fof(f4195,plain,
( ! [X18,X19] :
( in(sK49(relation_inverse_image(sF75,X19)),sF78)
| ~ subset(sF74,relation_inverse_image(sK3,X18))
| relation(relation_inverse_image(sF75,X19)) )
| ~ spl79_3
| ~ spl79_26
| ~ spl79_27
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f3867,f2383]) ).
fof(f2383,plain,
( ! [X72,X71] :
( ~ in(X71,relation_inverse_image(sK3,X72))
| in(X71,sF78) )
| ~ spl79_3
| ~ spl79_27 ),
inference(resolution,[],[f529,f1437]) ).
fof(f9833,plain,
( ~ spl79_213
| ~ spl79_214
| ~ spl79_3
| ~ spl79_27
| spl79_30
| ~ spl79_51 ),
inference(avatar_split_clause,[],[f9719,f1861,f1013,f987,f879,f9831,f9828]) ).
fof(f9831,plain,
( spl79_214
<=> empty(cartesian_product2(sF78,sF78)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_214])]) ).
fof(f9719,plain,
( ~ empty(cartesian_product2(sF78,sF78))
| ~ subset(sK3,relation_inverse(sK3))
| ~ spl79_3
| ~ spl79_27
| spl79_30
| ~ spl79_51 ),
inference(subsumption_resolution,[],[f9712,f880]) ).
fof(f9712,plain,
( ~ subset(sK3,relation_inverse(sK3))
| ~ empty(cartesian_product2(sF78,sF78))
| ~ relation(sK3)
| ~ spl79_3
| ~ spl79_27
| spl79_30
| ~ spl79_51 ),
inference(superposition,[],[f8393,f988]) ).
fof(f9729,plain,
( ~ spl79_211
| ~ spl79_212
| ~ spl79_3
| spl79_30
| ~ spl79_48
| ~ spl79_51
| ~ spl79_113 ),
inference(avatar_split_clause,[],[f9715,f3677,f1861,f1594,f1013,f879,f9727,f9724]) ).
fof(f3677,plain,
( spl79_113
<=> relation_dom(sF75) = sF74 ),
introduced(avatar_definition,[new_symbols(naming,[spl79_113])]) ).
fof(f9715,plain,
( ~ empty(cartesian_product2(sF78,sF74))
| ~ subset(sK3,relation_inverse(sF75))
| ~ spl79_3
| spl79_30
| ~ spl79_48
| ~ spl79_51
| ~ spl79_113 ),
inference(subsumption_resolution,[],[f9714,f1595]) ).
fof(f9714,plain,
( ~ empty(cartesian_product2(sF78,sF74))
| ~ relation(sF75)
| ~ subset(sK3,relation_inverse(sF75))
| ~ spl79_3
| spl79_30
| ~ spl79_51
| ~ spl79_113 ),
inference(superposition,[],[f8393,f3678]) ).
fof(f3678,plain,
( relation_dom(sF75) = sF74
| ~ spl79_113 ),
inference(avatar_component_clause,[],[f3677]) ).
fof(f9683,plain,
( ~ spl79_210
| ~ spl79_207
| ~ spl79_1
| ~ spl79_25
| spl79_33
| ~ spl79_48
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f9645,f3490,f1853,f1594,f1031,f979,f871,f9650,f9681]) ).
fof(f9681,plain,
( spl79_210
<=> subset(sF75,relation_inverse(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_210])]) ).
fof(f9650,plain,
( spl79_207
<=> empty(cartesian_product2(sF74,sF74)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_207])]) ).
fof(f9645,plain,
( ~ empty(cartesian_product2(sF74,sF74))
| ~ subset(sF75,relation_inverse(sK5))
| ~ spl79_1
| ~ spl79_25
| spl79_33
| ~ spl79_48
| ~ spl79_49
| ~ spl79_108 ),
inference(subsumption_resolution,[],[f9638,f872]) ).
fof(f9638,plain,
( ~ empty(cartesian_product2(sF74,sF74))
| ~ relation(sK5)
| ~ subset(sF75,relation_inverse(sK5))
| ~ spl79_25
| spl79_33
| ~ spl79_48
| ~ spl79_49
| ~ spl79_108 ),
inference(superposition,[],[f8300,f980]) ).
fof(f8300,plain,
( ! [X4] :
( ~ empty(cartesian_product2(sF74,relation_dom(X4)))
| ~ relation(X4)
| ~ subset(sF75,relation_inverse(X4)) )
| spl79_33
| ~ spl79_48
| ~ spl79_49
| ~ spl79_108 ),
inference(subsumption_resolution,[],[f8299,f829]) ).
fof(f8299,plain,
( ! [X4] :
( ~ relation(X4)
| ~ subset(sF75,relation_inverse(X4))
| ~ empty(cartesian_product2(sF74,relation_dom(X4)))
| ~ relation(relation_inverse(X4)) )
| spl79_33
| ~ spl79_48
| ~ spl79_49
| ~ spl79_108 ),
inference(superposition,[],[f7491,f799]) ).
fof(f7491,plain,
( ! [X1] :
( ~ empty(cartesian_product2(sF74,relation_rng(X1)))
| ~ subset(sF75,X1)
| ~ relation(X1) )
| spl79_33
| ~ spl79_48
| ~ spl79_49
| ~ spl79_108 ),
inference(subsumption_resolution,[],[f7472,f1595]) ).
fof(f7472,plain,
( ! [X1] :
( ~ relation(sF75)
| ~ subset(sF75,X1)
| ~ empty(cartesian_product2(sF74,relation_rng(X1)))
| ~ relation(X1) )
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f557,f7310]) ).
fof(f9669,plain,
( ~ spl79_208
| ~ spl79_209
| ~ spl79_3
| ~ spl79_27
| spl79_33
| ~ spl79_48
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f9643,f3490,f1853,f1594,f1031,f987,f879,f9667,f9664]) ).
fof(f9664,plain,
( spl79_208
<=> subset(sF75,relation_inverse(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_208])]) ).
fof(f9643,plain,
( ~ empty(cartesian_product2(sF74,sF78))
| ~ subset(sF75,relation_inverse(sK3))
| ~ spl79_3
| ~ spl79_27
| spl79_33
| ~ spl79_48
| ~ spl79_49
| ~ spl79_108 ),
inference(subsumption_resolution,[],[f9637,f880]) ).
fof(f9637,plain,
( ~ subset(sF75,relation_inverse(sK3))
| ~ empty(cartesian_product2(sF74,sF78))
| ~ relation(sK3)
| ~ spl79_27
| spl79_33
| ~ spl79_48
| ~ spl79_49
| ~ spl79_108 ),
inference(superposition,[],[f8300,f988]) ).
fof(f9652,plain,
( ~ spl79_206
| ~ spl79_207
| spl79_33
| ~ spl79_48
| ~ spl79_49
| ~ spl79_108
| ~ spl79_113 ),
inference(avatar_split_clause,[],[f9642,f3677,f3490,f1853,f1594,f1031,f9650,f9647]) ).
fof(f9647,plain,
( spl79_206
<=> subset(sF75,relation_inverse(sF75)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_206])]) ).
fof(f9642,plain,
( ~ empty(cartesian_product2(sF74,sF74))
| ~ subset(sF75,relation_inverse(sF75))
| spl79_33
| ~ spl79_48
| ~ spl79_49
| ~ spl79_108
| ~ spl79_113 ),
inference(subsumption_resolution,[],[f9639,f1595]) ).
fof(f9639,plain,
( ~ relation(sF75)
| ~ empty(cartesian_product2(sF74,sF74))
| ~ subset(sF75,relation_inverse(sF75))
| spl79_33
| ~ spl79_48
| ~ spl79_49
| ~ spl79_108
| ~ spl79_113 ),
inference(superposition,[],[f8300,f3678]) ).
fof(f9497,plain,
( spl79_125
| spl79_203
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f4402,f3490,f1594,f983,f9449,f4120]) ).
fof(f4120,plain,
( spl79_125
<=> ! [X4] : empty_set = relation_inverse_image(sF75,X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_125])]) ).
fof(f9449,plain,
( spl79_203
<=> ! [X30,X31] :
( ~ subset(sF74,X30)
| ~ subset(X30,X31)
| ~ subset(X31,empty_set) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_203])]) ).
fof(f4402,plain,
( ! [X36,X34,X35] :
( ~ subset(X34,X35)
| ~ subset(X35,empty_set)
| empty_set = relation_inverse_image(sF75,X36)
| ~ subset(sF74,X34) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f3879,f644]) ).
fof(f3879,plain,
( ! [X18,X16,X17,X15] :
( subset(relation_inverse_image(sF75,X18),X17)
| ~ subset(sF74,X15)
| ~ subset(X15,X16)
| ~ subset(X16,X17) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f3776,f747]) ).
fof(f3776,plain,
( ! [X10,X11,X12] :
( subset(relation_inverse_image(sF75,X12),X11)
| ~ subset(sF74,X10)
| ~ subset(X10,X11) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f3749,f747]) ).
fof(f9486,plain,
( ~ spl79_204
| ~ spl79_205
| ~ spl79_51
| spl79_76
| ~ spl79_100 ),
inference(avatar_split_clause,[],[f9225,f3297,f2670,f1861,f9484,f9481]) ).
fof(f9484,plain,
( spl79_205
<=> empty(union(cartesian_product2(sF78,relation_rng(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_205])]) ).
fof(f9225,plain,
( ~ empty(union(cartesian_product2(sF78,relation_rng(sK3))))
| ~ in(relation_field(sK3),sK3)
| ~ spl79_51
| spl79_76
| ~ spl79_100 ),
inference(resolution,[],[f5897,f2374]) ).
fof(f5897,plain,
( ! [X5] :
( ~ in(relation_field(sK3),X5)
| ~ empty(union(X5)) )
| spl79_76
| ~ spl79_100 ),
inference(resolution,[],[f5521,f718]) ).
fof(f5521,plain,
( ! [X0] :
( ~ subset(relation_field(sK3),X0)
| ~ empty(X0) )
| spl79_76
| ~ spl79_100 ),
inference(superposition,[],[f5506,f497]) ).
fof(f5506,plain,
( ! [X0] : ~ empty(set_union2(relation_field(sK3),X0))
| spl79_76
| ~ spl79_100 ),
inference(resolution,[],[f5501,f2677]) ).
fof(f2677,plain,
( ! [X0] :
( ~ subset(sF78,X0)
| ~ empty(X0) )
| spl79_76 ),
inference(superposition,[],[f2671,f828]) ).
fof(f9451,plain,
( spl79_123
| spl79_203
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f4401,f3490,f1594,f983,f9449,f4096]) ).
fof(f4096,plain,
( spl79_123
<=> ! [X2,X1] : disjoint(relation_inverse_image(sF75,X1),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_123])]) ).
fof(f4401,plain,
( ! [X31,X32,X30,X33] :
( ~ subset(sF74,X30)
| disjoint(relation_inverse_image(sF75,X32),X33)
| ~ subset(X31,empty_set)
| ~ subset(X30,X31) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f3879,f2119]) ).
fof(f2119,plain,
! [X14,X15] :
( ~ subset(X14,empty_set)
| disjoint(X14,X15) ),
inference(resolution,[],[f710,f1342]) ).
fof(f1342,plain,
! [X1] : disjoint(empty_set,X1),
inference(trivial_inequality_removal,[],[f1340]) ).
fof(f1340,plain,
! [X1] :
( empty_set != empty_set
| disjoint(empty_set,X1) ),
inference(superposition,[],[f586,f833]) ).
fof(f833,plain,
! [X0] : empty_set = set_difference(empty_set,X0),
inference(cnf_transformation,[],[f185]) ).
fof(f185,axiom,
! [X0] : empty_set = set_difference(empty_set,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_boole) ).
fof(f586,plain,
! [X0,X1] :
( set_difference(X1,X0) != X1
| disjoint(X1,X0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f244,plain,
! [X0,X1] :
( disjoint(X1,X0)
<=> set_difference(X1,X0) = X1 ),
inference(rectify,[],[f205]) ).
fof(f205,axiom,
! [X1,X0] :
( disjoint(X0,X1)
<=> set_difference(X0,X1) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t83_xboole_1) ).
fof(f710,plain,
! [X2,X0,X1] :
( ~ disjoint(X0,X2)
| ~ subset(X1,X0)
| disjoint(X1,X2) ),
inference(cnf_transformation,[],[f476]) ).
fof(f476,plain,
! [X0,X1,X2] :
( ~ subset(X1,X0)
| ~ disjoint(X0,X2)
| disjoint(X1,X2) ),
inference(flattening,[],[f475]) ).
fof(f475,plain,
! [X1,X0,X2] :
( disjoint(X1,X2)
| ~ disjoint(X0,X2)
| ~ subset(X1,X0) ),
inference(ennf_transformation,[],[f264]) ).
fof(f264,plain,
! [X1,X0,X2] :
( ( disjoint(X0,X2)
& subset(X1,X0) )
=> disjoint(X1,X2) ),
inference(rectify,[],[f194]) ).
fof(f194,axiom,
! [X1,X0,X2] :
( ( subset(X0,X1)
& disjoint(X1,X2) )
=> disjoint(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_xboole_1) ).
fof(f9426,plain,
( spl79_202
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38 ),
inference(avatar_split_clause,[],[f9418,f1073,f879,f871,f9424]) ).
fof(f9418,plain,
( relation_image(sK3,relation_rng(sK5)) = relation_rng(sF75)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38 ),
inference(subsumption_resolution,[],[f9417,f872]) ).
fof(f9417,plain,
( ~ relation(sK5)
| relation_image(sK3,relation_rng(sK5)) = relation_rng(sF75)
| ~ spl79_3
| ~ spl79_38 ),
inference(subsumption_resolution,[],[f9390,f880]) ).
fof(f9390,plain,
( ~ relation(sK3)
| ~ relation(sK5)
| relation_image(sK3,relation_rng(sK5)) = relation_rng(sF75)
| ~ spl79_38 ),
inference(superposition,[],[f523,f1074]) ).
fof(f523,plain,
! [X0,X1] :
( relation_rng(relation_composition(X0,X1)) = relation_image(X1,relation_rng(X0))
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f365]) ).
fof(f365,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( relation_rng(relation_composition(X0,X1)) = relation_image(X1,relation_rng(X0))
| ~ relation(X1) ) ),
inference(ennf_transformation,[],[f137]) ).
fof(f137,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> relation_rng(relation_composition(X0,X1)) = relation_image(X1,relation_rng(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t160_relat_1) ).
fof(f9388,plain,
( ~ spl79_180
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f9299,f3490,f1853,f1031,f7722]) ).
fof(f7722,plain,
( spl79_180
<=> empty(union(sK73(cartesian_product2(sF74,relation_rng(sF75))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_180])]) ).
fof(f9299,plain,
( ~ empty(union(sK73(cartesian_product2(sF74,relation_rng(sF75)))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(superposition,[],[f9073,f612]) ).
fof(f9073,plain,
( ! [X3] : ~ empty(union(set_union2(sK73(cartesian_product2(sF74,relation_rng(sF75))),X3)))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(superposition,[],[f8525,f541]) ).
fof(f8525,plain,
( ! [X32] : ~ empty(union(set_union2(X32,sK73(cartesian_product2(sF74,relation_rng(sF75))))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f7437,f857]) ).
fof(f9387,plain,
( ~ spl79_180
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f9294,f3490,f1853,f1031,f7722]) ).
fof(f9294,plain,
( ~ empty(union(sK73(cartesian_product2(sF74,relation_rng(sF75)))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(superposition,[],[f9073,f513]) ).
fof(f9262,plain,
( ~ spl79_177
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f9259,f3490,f1853,f1031,f7468]) ).
fof(f7468,plain,
( spl79_177
<=> empty(union(sK22(cartesian_product2(sF74,relation_rng(sF75))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_177])]) ).
fof(f9259,plain,
( ~ empty(union(sK22(cartesian_product2(sF74,relation_rng(sF75)))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(superposition,[],[f8760,f612]) ).
fof(f9261,plain,
( ~ spl79_177
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f9254,f3490,f1853,f1031,f7468]) ).
fof(f9254,plain,
( ~ empty(union(sK22(cartesian_product2(sF74,relation_rng(sF75)))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(superposition,[],[f8760,f513]) ).
fof(f9250,plain,
( ~ spl79_201
| spl79_76
| ~ spl79_100 ),
inference(avatar_split_clause,[],[f9232,f3297,f2670,f9248]) ).
fof(f9232,plain,
( ~ empty(union(sK73(relation_field(sK3))))
| spl79_76
| ~ spl79_100 ),
inference(resolution,[],[f5897,f857]) ).
fof(f9246,plain,
( ~ spl79_200
| ~ spl79_191
| spl79_76
| ~ spl79_100
| ~ spl79_138 ),
inference(avatar_split_clause,[],[f9227,f4391,f3297,f2670,f8285,f9244]) ).
fof(f9244,plain,
( spl79_200
<=> in(relation_field(sK3),sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_200])]) ).
fof(f8285,plain,
( spl79_191
<=> empty(union(relation_field(sF75))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_191])]) ).
fof(f9227,plain,
( ~ empty(union(relation_field(sF75)))
| ~ in(relation_field(sK3),sF74)
| spl79_76
| ~ spl79_100
| ~ spl79_138 ),
inference(resolution,[],[f5897,f4476]) ).
fof(f4476,plain,
( ! [X24] :
( in(X24,relation_field(sF75))
| ~ in(X24,sF74) )
| ~ spl79_138 ),
inference(superposition,[],[f4376,f4392]) ).
fof(f9242,plain,
( ~ spl79_199
| spl79_76
| ~ spl79_100 ),
inference(avatar_split_clause,[],[f9230,f3297,f2670,f9240]) ).
fof(f9230,plain,
( ~ empty(union(sK22(relation_field(sK3))))
| spl79_76
| ~ spl79_100 ),
inference(resolution,[],[f5897,f584]) ).
fof(f9238,plain,
( ~ spl79_198
| spl79_76
| ~ spl79_100 ),
inference(avatar_split_clause,[],[f9221,f3297,f2670,f9236]) ).
fof(f9236,plain,
( spl79_198
<=> empty(union(singleton(relation_field(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_198])]) ).
fof(f9221,plain,
( ~ empty(union(singleton(relation_field(sK3))))
| spl79_76
| ~ spl79_100 ),
inference(resolution,[],[f5897,f1175]) ).
fof(f9202,plain,
( ~ spl79_197
| ~ spl79_9
| ~ spl79_41
| spl79_194 ),
inference(avatar_split_clause,[],[f9198,f8421,f1086,f904,f9200]) ).
fof(f9198,plain,
( ~ in(sK3,singleton(empty_set))
| ~ spl79_9
| ~ spl79_41
| spl79_194 ),
inference(subsumption_resolution,[],[f9197,f905]) ).
fof(f9197,plain,
( ~ in(sK3,singleton(empty_set))
| ~ empty(empty_set)
| ~ spl79_41
| spl79_194 ),
inference(superposition,[],[f8477,f1087]) ).
fof(f8477,plain,
( ! [X7] :
( ~ empty(union(X7))
| ~ in(sK3,X7) )
| spl79_194 ),
inference(resolution,[],[f8441,f718]) ).
fof(f8441,plain,
( ! [X0] :
( ~ subset(sK3,X0)
| ~ empty(X0) )
| spl79_194 ),
inference(superposition,[],[f8422,f828]) ).
fof(f9140,plain,
( ~ spl79_180
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f9075,f3490,f1853,f1031,f7722]) ).
fof(f9075,plain,
( ~ empty(union(sK73(cartesian_product2(sF74,relation_rng(sF75)))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(superposition,[],[f8525,f1230]) ).
fof(f9138,plain,
( ~ spl79_180
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f9070,f3490,f1853,f1031,f7722]) ).
fof(f9070,plain,
( ~ empty(union(sK73(cartesian_product2(sF74,relation_rng(sF75)))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(superposition,[],[f8525,f513]) ).
fof(f8765,plain,
( ~ spl79_177
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f8762,f3490,f1853,f1031,f7468]) ).
fof(f8762,plain,
( ~ empty(union(sK22(cartesian_product2(sF74,relation_rng(sF75)))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(superposition,[],[f8523,f1230]) ).
fof(f8764,plain,
( ~ spl79_177
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f8758,f3490,f1853,f1031,f7468]) ).
fof(f8758,plain,
( ~ empty(union(sK22(cartesian_product2(sF74,relation_rng(sF75)))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(superposition,[],[f8523,f513]) ).
fof(f8506,plain,
( ~ spl79_176
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f8494,f3490,f1853,f1031,f7464]) ).
fof(f7464,plain,
( spl79_176
<=> empty(union(singleton(cartesian_product2(sF74,relation_rng(sF75))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_176])]) ).
fof(f8494,plain,
( ~ empty(union(singleton(cartesian_product2(sF74,relation_rng(sF75)))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f8123,f757]) ).
fof(f8453,plain,
( spl79_196
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_4
| ~ spl79_38 ),
inference(avatar_split_clause,[],[f8449,f1073,f883,f879,f875,f871,f8451]) ).
fof(f8451,plain,
( spl79_196
<=> function(sF75) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_196])]) ).
fof(f8449,plain,
( function(sF75)
| ~ spl79_1
| ~ spl79_2
| ~ spl79_3
| ~ spl79_4
| ~ spl79_38 ),
inference(subsumption_resolution,[],[f8448,f876]) ).
fof(f8448,plain,
( ~ function(sK5)
| function(sF75)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_4
| ~ spl79_38 ),
inference(subsumption_resolution,[],[f8447,f872]) ).
fof(f8447,plain,
( function(sF75)
| ~ relation(sK5)
| ~ function(sK5)
| ~ spl79_3
| ~ spl79_4
| ~ spl79_38 ),
inference(subsumption_resolution,[],[f8446,f884]) ).
fof(f8446,plain,
( function(sF75)
| ~ function(sK3)
| ~ relation(sK5)
| ~ function(sK5)
| ~ spl79_3
| ~ spl79_38 ),
inference(subsumption_resolution,[],[f8442,f880]) ).
fof(f8442,plain,
( ~ relation(sK3)
| function(sF75)
| ~ function(sK3)
| ~ relation(sK5)
| ~ function(sK5)
| ~ spl79_38 ),
inference(superposition,[],[f687,f1074]) ).
fof(f687,plain,
! [X0,X1] :
( function(relation_composition(X1,X0))
| ~ function(X1)
| ~ relation(X1)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f331]) ).
fof(f331,plain,
! [X1,X0] :
( ~ function(X0)
| ~ relation(X1)
| ( relation(relation_composition(X1,X0))
& function(relation_composition(X1,X0)) )
| ~ function(X1)
| ~ relation(X0) ),
inference(flattening,[],[f330]) ).
fof(f330,plain,
! [X0,X1] :
( ( relation(relation_composition(X1,X0))
& function(relation_composition(X1,X0)) )
| ~ relation(X0)
| ~ relation(X1)
| ~ function(X0)
| ~ function(X1) ),
inference(ennf_transformation,[],[f219]) ).
fof(f219,plain,
! [X0,X1] :
( ( relation(X0)
& relation(X1)
& function(X0)
& function(X1) )
=> ( relation(relation_composition(X1,X0))
& function(relation_composition(X1,X0)) ) ),
inference(rectify,[],[f73]) ).
fof(f73,axiom,
! [X1,X0] :
( ( function(X0)
& relation(X1)
& relation(X0)
& function(X1) )
=> ( function(relation_composition(X0,X1))
& relation(relation_composition(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_funct_1) ).
fof(f8426,plain,
( ~ spl79_194
| ~ spl79_195
| ~ spl79_3
| ~ spl79_10
| ~ spl79_20
| spl79_30
| ~ spl79_51 ),
inference(avatar_split_clause,[],[f8395,f1861,f1013,f951,f908,f879,f8424,f8421]) ).
fof(f8395,plain,
( ~ empty(cartesian_product2(sF78,empty_set))
| ~ subset(sK3,empty_set)
| ~ spl79_3
| ~ spl79_10
| ~ spl79_20
| spl79_30
| ~ spl79_51 ),
inference(subsumption_resolution,[],[f8390,f909]) ).
fof(f8390,plain,
( ~ subset(sK3,empty_set)
| ~ relation(empty_set)
| ~ empty(cartesian_product2(sF78,empty_set))
| ~ spl79_3
| ~ spl79_20
| spl79_30
| ~ spl79_51 ),
inference(superposition,[],[f7494,f952]) ).
fof(f8294,plain,
( ~ spl79_192
| ~ spl79_193
| spl79_33
| ~ spl79_49
| ~ spl79_92
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f7447,f3490,f3146,f1853,f1031,f8292,f8289]) ).
fof(f8289,plain,
( spl79_192
<=> in(cartesian_product2(sF74,relation_rng(sF75)),sF78) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_192])]) ).
fof(f8292,plain,
( spl79_193
<=> empty(union(relation_field(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_193])]) ).
fof(f7447,plain,
( ~ empty(union(relation_field(sK3)))
| ~ in(cartesian_product2(sF74,relation_rng(sF75)),sF78)
| spl79_33
| ~ spl79_49
| ~ spl79_92
| ~ spl79_108 ),
inference(resolution,[],[f7312,f4477]) ).
fof(f8287,plain,
( ~ spl79_190
| ~ spl79_191
| spl79_33
| ~ spl79_49
| ~ spl79_108
| ~ spl79_138 ),
inference(avatar_split_clause,[],[f7446,f4391,f3490,f1853,f1031,f8285,f8281]) ).
fof(f8281,plain,
( spl79_190
<=> in(cartesian_product2(sF74,relation_rng(sF75)),sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_190])]) ).
fof(f7446,plain,
( ~ empty(union(relation_field(sF75)))
| ~ in(cartesian_product2(sF74,relation_rng(sF75)),sF74)
| spl79_33
| ~ spl79_49
| ~ spl79_108
| ~ spl79_138 ),
inference(resolution,[],[f7312,f4476]) ).
fof(f8283,plain,
( ~ spl79_189
| ~ spl79_190
| spl79_33
| ~ spl79_49
| ~ spl79_91
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f7445,f3490,f3141,f1853,f1031,f8281,f8278]) ).
fof(f7445,plain,
( ~ in(cartesian_product2(sF74,relation_rng(sF75)),sF74)
| ~ empty(union(relation_field(sK5)))
| spl79_33
| ~ spl79_49
| ~ spl79_91
| ~ spl79_108 ),
inference(resolution,[],[f7312,f4475]) ).
fof(f4475,plain,
( ! [X23] :
( in(X23,relation_field(sK5))
| ~ in(X23,sF74) )
| ~ spl79_91 ),
inference(superposition,[],[f4376,f3142]) ).
fof(f8276,plain,
( ~ spl79_188
| spl79_132 ),
inference(avatar_split_clause,[],[f8262,f4253,f8274]) ).
fof(f4253,plain,
( spl79_132
<=> subset(relation_field(sK5),empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_132])]) ).
fof(f8262,plain,
( ~ empty(union(sK73(relation_field(sK5))))
| spl79_132 ),
inference(resolution,[],[f4297,f857]) ).
fof(f4297,plain,
( ! [X5] :
( ~ in(relation_field(sK5),X5)
| ~ empty(union(X5)) )
| spl79_132 ),
inference(resolution,[],[f4262,f718]) ).
fof(f4262,plain,
( ! [X0] :
( ~ subset(relation_field(sK5),X0)
| ~ empty(X0) )
| spl79_132 ),
inference(superposition,[],[f4254,f828]) ).
fof(f4254,plain,
( ~ subset(relation_field(sK5),empty_set)
| spl79_132 ),
inference(avatar_component_clause,[],[f4253]) ).
fof(f8272,plain,
( ~ spl79_187
| spl79_132 ),
inference(avatar_split_clause,[],[f8261,f4253,f8270]) ).
fof(f8261,plain,
( ~ empty(union(sK22(relation_field(sK5))))
| spl79_132 ),
inference(resolution,[],[f4297,f584]) ).
fof(f8268,plain,
( ~ spl79_186
| spl79_132 ),
inference(avatar_split_clause,[],[f8252,f4253,f8266]) ).
fof(f8252,plain,
( ~ empty(union(singleton(relation_field(sK5))))
| spl79_132 ),
inference(resolution,[],[f4297,f1175]) ).
fof(f8197,plain,
( ~ spl79_184
| ~ spl79_185
| spl79_33
| ~ spl79_41
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f7809,f3490,f1853,f1086,f1031,f8195,f8192]) ).
fof(f8192,plain,
( spl79_184
<=> empty(cartesian_product2(sF74,empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_184])]) ).
fof(f8195,plain,
( spl79_185
<=> in(relation_rng(sF75),singleton(empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_185])]) ).
fof(f7809,plain,
( ~ in(relation_rng(sF75),singleton(empty_set))
| ~ empty(cartesian_product2(sF74,empty_set))
| spl79_33
| ~ spl79_41
| ~ spl79_49
| ~ spl79_108 ),
inference(superposition,[],[f7339,f1087]) ).
fof(f7339,plain,
( ! [X5] :
( ~ empty(cartesian_product2(sF74,union(X5)))
| ~ in(relation_rng(sF75),X5) )
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f7310,f718]) ).
fof(f8185,plain,
( ~ spl79_85
| spl79_174
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f8181,f3490,f1853,f1031,f7347,f3025]) ).
fof(f8181,plain,
( ! [X1] :
( ~ empty(cartesian_product2(sF74,X1))
| ~ empty(relation_rng(sF75)) )
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f7808,f2190]) ).
fof(f7808,plain,
( ! [X0] :
( ~ in(relation_rng(sF75),powerset(X0))
| ~ empty(cartesian_product2(sF74,X0)) )
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(superposition,[],[f7339,f704]) ).
fof(f8168,plain,
( ~ spl79_176
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f8165,f3490,f1853,f1031,f7464]) ).
fof(f8165,plain,
( ~ empty(union(singleton(cartesian_product2(sF74,relation_rng(sF75)))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(superposition,[],[f7436,f1230]) ).
fof(f7436,plain,
( ! [X3] : ~ empty(union(set_union2(X3,singleton(cartesian_product2(sF74,relation_rng(sF75))))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f7312,f1240]) ).
fof(f8167,plain,
( ~ spl79_176
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f8161,f3490,f1853,f1031,f7464]) ).
fof(f8161,plain,
( ~ empty(union(singleton(cartesian_product2(sF74,relation_rng(sF75)))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(superposition,[],[f7436,f513]) ).
fof(f8150,plain,
( ~ spl79_176
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f8126,f3490,f1853,f1031,f7464]) ).
fof(f8126,plain,
( ~ empty(union(singleton(cartesian_product2(sF74,relation_rng(sF75)))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(superposition,[],[f7435,f612]) ).
fof(f8144,plain,
( ~ spl79_157
| spl79_183
| ~ spl79_139 ),
inference(avatar_split_clause,[],[f8111,f4486,f8142,f5015]) ).
fof(f8142,plain,
( spl79_183
<=> ! [X0] : ~ proper_subset(X0,sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_183])]) ).
fof(f4486,plain,
( spl79_139
<=> subset(sF74,relation_field(sF75)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_139])]) ).
fof(f8111,plain,
( ! [X0] :
( ~ proper_subset(X0,sF74)
| ~ empty(relation_field(sF75)) )
| ~ spl79_139 ),
inference(resolution,[],[f6268,f1057]) ).
fof(f6268,plain,
( ! [X0] :
( ~ subset(relation_field(sF75),X0)
| ~ proper_subset(X0,sF74) )
| ~ spl79_139 ),
inference(superposition,[],[f6244,f497]) ).
fof(f6244,plain,
( ! [X9] : ~ proper_subset(set_union2(relation_field(sF75),X9),sF74)
| ~ spl79_139 ),
inference(resolution,[],[f6212,f742]) ).
fof(f6212,plain,
( ! [X1] : subset(sF74,set_union2(relation_field(sF75),X1))
| ~ spl79_139 ),
inference(resolution,[],[f4498,f617]) ).
fof(f4498,plain,
( ! [X1] :
( ~ subset(relation_field(sF75),X1)
| subset(sF74,X1) )
| ~ spl79_139 ),
inference(resolution,[],[f4487,f747]) ).
fof(f4487,plain,
( subset(sF74,relation_field(sF75))
| ~ spl79_139 ),
inference(avatar_component_clause,[],[f4486]) ).
fof(f8128,plain,
( ~ spl79_176
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f8122,f3490,f1853,f1031,f7464]) ).
fof(f8122,plain,
( ~ empty(union(singleton(cartesian_product2(sF74,relation_rng(sF75)))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(superposition,[],[f7435,f513]) ).
fof(f7807,plain,
( ~ spl79_176
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f7804,f3490,f1853,f1031,f7464]) ).
fof(f7804,plain,
( ~ empty(union(singleton(cartesian_product2(sF74,relation_rng(sF75)))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(superposition,[],[f7434,f619]) ).
fof(f7434,plain,
( ! [X1] : ~ empty(union(unordered_pair(X1,cartesian_product2(sF74,relation_rng(sF75)))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f7312,f1332]) ).
fof(f7802,plain,
( ~ spl79_31
| spl79_182
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f7652,f3490,f1594,f983,f7800,f1017]) ).
fof(f7800,plain,
( spl79_182
<=> ! [X3] :
( ~ relation(relation_inverse_image(sF75,X3))
| empty_set = relation_inverse_image(sF75,X3)
| in(sK41(relation_inverse_image(sF75,X3)),relation_field(sF74)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_182])]) ).
fof(f7652,plain,
( ! [X3] :
( ~ relation(relation_inverse_image(sF75,X3))
| in(sK41(relation_inverse_image(sF75,X3)),relation_field(sF74))
| ~ relation(sF74)
| empty_set = relation_inverse_image(sF75,X3) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f7627,f524]) ).
fof(f7627,plain,
( ! [X31] :
( in(ordered_pair(sK40(relation_inverse_image(sF75,X31)),sK41(relation_inverse_image(sF75,X31))),sF74)
| empty_set = relation_inverse_image(sF75,X31)
| ~ relation(relation_inverse_image(sF75,X31)) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f698,f3748]) ).
fof(f3748,plain,
( ! [X2,X3] :
( ~ in(X2,relation_inverse_image(sF75,X3))
| in(X2,sF74) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f3673,f529]) ).
fof(f7778,plain,
( spl79_181
| ~ spl79_31
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f7651,f3490,f1594,f983,f1017,f7776]) ).
fof(f7776,plain,
( spl79_181
<=> ! [X2] :
( in(sK40(relation_inverse_image(sF75,X2)),relation_field(sF74))
| empty_set = relation_inverse_image(sF75,X2)
| ~ relation(relation_inverse_image(sF75,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_181])]) ).
fof(f7651,plain,
( ! [X2] :
( ~ relation(sF74)
| in(sK40(relation_inverse_image(sF75,X2)),relation_field(sF74))
| ~ relation(relation_inverse_image(sF75,X2))
| empty_set = relation_inverse_image(sF75,X2) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f7627,f525]) ).
fof(f7736,plain,
( ~ spl79_176
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f7726,f3490,f1853,f1031,f7464]) ).
fof(f7726,plain,
( ~ empty(union(singleton(cartesian_product2(sF74,relation_rng(sF75)))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(superposition,[],[f7433,f619]) ).
fof(f7433,plain,
( ! [X0] : ~ empty(union(unordered_pair(cartesian_product2(sF74,relation_rng(sF75)),X0)))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f7312,f1325]) ).
fof(f7724,plain,
( ~ spl79_180
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f7449,f3490,f1853,f1031,f7722]) ).
fof(f7449,plain,
( ~ empty(union(sK73(cartesian_product2(sF74,relation_rng(sF75)))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f7312,f857]) ).
fof(f7720,plain,
( spl79_179
| ~ spl79_31
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f7650,f3490,f1594,f983,f1017,f7718]) ).
fof(f7718,plain,
( spl79_179
<=> ! [X1] :
( ~ relation(relation_inverse_image(sF75,X1))
| in(sK40(relation_inverse_image(sF75,X1)),relation_dom(sF74))
| empty_set = relation_inverse_image(sF75,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_179])]) ).
fof(f7650,plain,
( ! [X1] :
( ~ relation(sF74)
| ~ relation(relation_inverse_image(sF75,X1))
| empty_set = relation_inverse_image(sF75,X1)
| in(sK40(relation_inverse_image(sF75,X1)),relation_dom(sF74)) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f7627,f824]) ).
fof(f7716,plain,
( ~ spl79_31
| spl79_178
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f7649,f3490,f1594,f983,f7714,f1017]) ).
fof(f7714,plain,
( spl79_178
<=> ! [X0] :
( empty_set = relation_inverse_image(sF75,X0)
| in(sK41(relation_inverse_image(sF75,X0)),relation_rng(sF74))
| ~ relation(relation_inverse_image(sF75,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_178])]) ).
fof(f7649,plain,
( ! [X0] :
( empty_set = relation_inverse_image(sF75,X0)
| ~ relation(relation_inverse_image(sF75,X0))
| in(sK41(relation_inverse_image(sF75,X0)),relation_rng(sF74))
| ~ relation(sF74) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f7627,f825]) ).
fof(f7470,plain,
( ~ spl79_177
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f7448,f3490,f1853,f1031,f7468]) ).
fof(f7448,plain,
( ~ empty(union(sK22(cartesian_product2(sF74,relation_rng(sF75)))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f7312,f584]) ).
fof(f7466,plain,
( ~ spl79_176
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f7440,f3490,f1853,f1031,f7464]) ).
fof(f7440,plain,
( ~ empty(union(singleton(cartesian_product2(sF74,relation_rng(sF75)))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f7312,f1175]) ).
fof(f7406,plain,
( ~ spl79_175
| spl79_33
| ~ spl79_49
| ~ spl79_108
| ~ spl79_138 ),
inference(avatar_split_clause,[],[f7401,f4391,f3490,f1853,f1031,f7404]) ).
fof(f7404,plain,
( spl79_175
<=> empty(cartesian_product2(sF74,relation_field(sF75))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_175])]) ).
fof(f7401,plain,
( ~ empty(cartesian_product2(sF74,relation_field(sF75)))
| spl79_33
| ~ spl79_49
| ~ spl79_108
| ~ spl79_138 ),
inference(superposition,[],[f7336,f4392]) ).
fof(f7336,plain,
( ! [X2] : ~ empty(cartesian_product2(sF74,set_union2(X2,relation_rng(sF75))))
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f7310,f1235]) ).
fof(f7349,plain,
( spl79_174
| ~ spl79_85
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f7334,f3490,f1853,f1031,f3025,f7347]) ).
fof(f7334,plain,
( ! [X0] :
( ~ empty(relation_rng(sF75))
| ~ empty(cartesian_product2(sF74,X0)) )
| spl79_33
| ~ spl79_49
| ~ spl79_108 ),
inference(resolution,[],[f7310,f1057]) ).
fof(f7345,plain,
( spl79_173
| ~ spl79_157
| ~ spl79_138 ),
inference(avatar_split_clause,[],[f6790,f4391,f5015,f7343]) ).
fof(f7343,plain,
( spl79_173
<=> ! [X10] : ~ in(powerset(X10),sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_173])]) ).
fof(f6790,plain,
( ! [X10] :
( ~ empty(relation_field(sF75))
| ~ in(powerset(X10),sF74) )
| ~ spl79_138 ),
inference(resolution,[],[f4893,f2190]) ).
fof(f4893,plain,
( ! [X1] :
( ~ in(relation_field(sF75),X1)
| ~ in(X1,sF74) )
| ~ spl79_138 ),
inference(resolution,[],[f4476,f498]) ).
fof(f6901,plain,
( ~ spl79_172
| ~ spl79_92 ),
inference(avatar_split_clause,[],[f6897,f3146,f6899]) ).
fof(f6897,plain,
( ~ in(relation_field(sK3),sF78)
| ~ spl79_92 ),
inference(duplicate_literal_removal,[],[f6894]) ).
fof(f6894,plain,
( ~ in(relation_field(sK3),sF78)
| ~ in(relation_field(sK3),sF78)
| ~ spl79_92 ),
inference(resolution,[],[f5173,f4477]) ).
fof(f6801,plain,
( ~ spl79_171
| ~ spl79_138 ),
inference(avatar_split_clause,[],[f6797,f4391,f6799]) ).
fof(f6797,plain,
( ~ in(relation_field(sF75),sF74)
| ~ spl79_138 ),
inference(duplicate_literal_removal,[],[f6793]) ).
fof(f6793,plain,
( ~ in(relation_field(sF75),sF74)
| ~ in(relation_field(sF75),sF74)
| ~ spl79_138 ),
inference(resolution,[],[f4893,f4476]) ).
fof(f6605,plain,
( ~ spl79_169
| spl79_170
| ~ spl79_26
| ~ spl79_28
| ~ spl79_48
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f6539,f3490,f1594,f991,f983,f6603,f6600]) ).
fof(f6600,plain,
( spl79_169
<=> subset(sF74,powerset(singleton(empty_set))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_169])]) ).
fof(f6603,plain,
( spl79_170
<=> ! [X20,X19] : disjoint(set_meet(union(relation_inverse_image(sF75,X19))),X20) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_170])]) ).
fof(f6539,plain,
( ! [X19,X20] :
( disjoint(set_meet(union(relation_inverse_image(sF75,X19))),X20)
| ~ subset(sF74,powerset(singleton(empty_set))) )
| ~ spl79_26
| ~ spl79_28
| ~ spl79_48
| ~ spl79_108 ),
inference(forward_demodulation,[],[f6529,f992]) ).
fof(f6529,plain,
( ! [X19,X20] :
( disjoint(set_meet(union(relation_inverse_image(sF75,X19))),X20)
| ~ subset(sF74,powerset(powerset(empty_set))) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f6506,f2119]) ).
fof(f6506,plain,
( ! [X10,X9] :
( subset(set_meet(union(relation_inverse_image(sF75,X10))),X9)
| ~ subset(sF74,powerset(powerset(X9))) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f5224,f801]) ).
fof(f801,plain,
! [X0,X1] :
( ~ element(X0,powerset(X1))
| subset(X0,X1) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,axiom,
! [X1,X0] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f5224,plain,
( ! [X11,X12] :
( element(set_meet(union(relation_inverse_image(sF75,X12))),powerset(X11))
| ~ subset(sF74,powerset(powerset(X11))) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f4978,f5013]) ).
fof(f5013,plain,
! [X0,X1] :
( ~ element(X1,powerset(powerset(X0)))
| element(set_meet(X1),powerset(X0)) ),
inference(backward_subsumption_demodulation,[],[f700,f701]) ).
fof(f701,plain,
! [X0,X1] :
( set_meet(X0) = meet_of_subsets(X1,X0)
| ~ element(X0,powerset(powerset(X1))) ),
inference(cnf_transformation,[],[f354]) ).
fof(f354,plain,
! [X0,X1] :
( ~ element(X0,powerset(powerset(X1)))
| set_meet(X0) = meet_of_subsets(X1,X0) ),
inference(ennf_transformation,[],[f287]) ).
fof(f287,plain,
! [X0,X1] :
( element(X0,powerset(powerset(X1)))
=> set_meet(X0) = meet_of_subsets(X1,X0) ),
inference(rectify,[],[f117]) ).
fof(f117,axiom,
! [X1,X0] :
( element(X1,powerset(powerset(X0)))
=> meet_of_subsets(X0,X1) = set_meet(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_setfam_1) ).
fof(f700,plain,
! [X0,X1] :
( element(meet_of_subsets(X0,X1),powerset(X0))
| ~ element(X1,powerset(powerset(X0))) ),
inference(cnf_transformation,[],[f414]) ).
fof(f414,plain,
! [X0,X1] :
( element(meet_of_subsets(X0,X1),powerset(X0))
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> element(meet_of_subsets(X0,X1),powerset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_setfam_1) ).
fof(f4978,plain,
( ! [X11,X12] :
( element(union(relation_inverse_image(sF75,X12)),powerset(X11))
| ~ subset(sF74,powerset(X11)) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f4973,f4643]) ).
fof(f4643,plain,
! [X0,X1] :
( ~ element(X1,powerset(powerset(X0)))
| element(union(X1),powerset(X0)) ),
inference(backward_subsumption_demodulation,[],[f533,f665]) ).
fof(f665,plain,
! [X0,X1] :
( union_of_subsets(X0,X1) = union(X1)
| ~ element(X1,powerset(powerset(X0))) ),
inference(cnf_transformation,[],[f368]) ).
fof(f368,plain,
! [X1,X0] :
( ~ element(X1,powerset(powerset(X0)))
| union_of_subsets(X0,X1) = union(X1) ),
inference(ennf_transformation,[],[f116]) ).
fof(f116,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> union_of_subsets(X0,X1) = union(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k5_setfam_1) ).
fof(f533,plain,
! [X0,X1] :
( element(union_of_subsets(X0,X1),powerset(X0))
| ~ element(X1,powerset(powerset(X0))) ),
inference(cnf_transformation,[],[f452]) ).
fof(f452,plain,
! [X1,X0] :
( ~ element(X1,powerset(powerset(X0)))
| element(union_of_subsets(X0,X1),powerset(X0)) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> element(union_of_subsets(X0,X1),powerset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_setfam_1) ).
fof(f4973,plain,
( ! [X0,X1] :
( element(relation_inverse_image(sF75,X0),powerset(X1))
| ~ subset(sF74,X1) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(duplicate_literal_removal,[],[f4948]) ).
fof(f4948,plain,
( ! [X0,X1] :
( element(relation_inverse_image(sF75,X0),powerset(X1))
| ~ subset(sF74,X1)
| element(relation_inverse_image(sF75,X0),powerset(X1)) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f3864,f712]) ).
fof(f712,plain,
! [X0,X1] :
( ~ in(sK44(X0,X1),X1)
| element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f387]) ).
fof(f3864,plain,
( ! [X6,X7,X5] :
( in(sK44(relation_inverse_image(sF75,X5),X6),X7)
| element(relation_inverse_image(sF75,X5),powerset(X6))
| ~ subset(sF74,X7) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f3775,f713]) ).
fof(f6573,plain,
( ~ spl79_168
| ~ spl79_91 ),
inference(avatar_split_clause,[],[f6569,f3141,f6571]) ).
fof(f6569,plain,
( ~ in(relation_field(sK5),sF74)
| ~ spl79_91 ),
inference(duplicate_literal_removal,[],[f6564]) ).
fof(f6564,plain,
( ~ in(relation_field(sK5),sF74)
| ~ in(relation_field(sK5),sF74)
| ~ spl79_91 ),
inference(resolution,[],[f4545,f4475]) ).
fof(f4545,plain,
( ! [X1] :
( ~ in(relation_field(sK5),X1)
| ~ in(X1,sF74) )
| ~ spl79_91 ),
inference(resolution,[],[f4475,f498]) ).
fof(f6236,plain,
( ~ spl79_157
| spl79_167
| ~ spl79_139 ),
inference(avatar_split_clause,[],[f6211,f4486,f6234,f5015]) ).
fof(f6211,plain,
( ! [X0] :
( subset(sF74,X0)
| ~ empty(relation_field(sF75)) )
| ~ spl79_139 ),
inference(resolution,[],[f4498,f1057]) ).
fof(f5487,plain,
( spl79_125
| spl79_166
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f4055,f3490,f1594,f983,f5485,f4120]) ).
fof(f5485,plain,
( spl79_166
<=> ! [X34,X33] :
( ~ subset(sF74,X34)
| singleton(X33) = X34
| ~ subset(X34,singleton(X33)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_166])]) ).
fof(f4055,plain,
( ! [X34,X32,X33] :
( ~ subset(sF74,X34)
| ~ subset(X34,singleton(X33))
| empty_set = relation_inverse_image(sF75,X32)
| singleton(X33) = X34 )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(subsumption_resolution,[],[f4003,f747]) ).
fof(f4003,plain,
( ! [X34,X32,X33] :
( singleton(X33) = X34
| ~ subset(sF74,singleton(X33))
| empty_set = relation_inverse_image(sF75,X32)
| ~ subset(X34,singleton(X33))
| ~ subset(sF74,X34) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(superposition,[],[f3773,f3779]) ).
fof(f3779,plain,
( ! [X18,X17] :
( relation_inverse_image(sF75,X18) = singleton(X17)
| empty_set = relation_inverse_image(sF75,X18)
| ~ subset(sF74,singleton(X17)) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f3749,f532]) ).
fof(f532,plain,
! [X0,X1] :
( ~ subset(X0,singleton(X1))
| empty_set = X0
| singleton(X1) = X0 ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,axiom,
! [X0,X1] :
( ( empty_set = X0
| singleton(X1) = X0 )
<=> subset(X0,singleton(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_zfmisc_1) ).
fof(f3773,plain,
( ! [X3,X4] :
( ~ subset(X3,relation_inverse_image(sF75,X4))
| ~ subset(sF74,X3)
| relation_inverse_image(sF75,X4) = X3 )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f3749,f860]) ).
fof(f5408,plain,
( spl79_165
| spl79_164
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f5335,f3490,f1594,f983,f5402,f5406]) ).
fof(f5406,plain,
( spl79_165
<=> ! [X11] : empty(set_meet(relation_inverse_image(sF75,X11))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_165])]) ).
fof(f5402,plain,
( spl79_164
<=> ! [X10] :
( ~ empty(X10)
| ~ subset(sF74,powerset(X10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_164])]) ).
fof(f5335,plain,
( ! [X10,X11] :
( ~ empty(X10)
| ~ subset(sF74,powerset(X10))
| empty(set_meet(relation_inverse_image(sF75,X11))) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f5322,f1310]) ).
fof(f5322,plain,
( ! [X10,X9] :
( subset(set_meet(relation_inverse_image(sF75,X10)),X9)
| ~ subset(sF74,powerset(X9)) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f5202,f801]) ).
fof(f5202,plain,
( ! [X8,X7] :
( element(set_meet(relation_inverse_image(sF75,X7)),powerset(X8))
| ~ subset(sF74,powerset(X8)) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f5013,f4973]) ).
fof(f5404,plain,
( spl79_163
| spl79_164
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f5248,f3490,f1594,f983,f5402,f5399]) ).
fof(f5399,plain,
( spl79_163
<=> ! [X11] : empty(union(relation_inverse_image(sF75,X11))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_163])]) ).
fof(f5248,plain,
( ! [X10,X11] :
( ~ empty(X10)
| ~ subset(sF74,powerset(X10))
| empty(union(relation_inverse_image(sF75,X11))) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f5223,f1310]) ).
fof(f5223,plain,
( ! [X10,X9] :
( subset(union(relation_inverse_image(sF75,X10)),X9)
| ~ subset(sF74,powerset(X9)) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f4978,f801]) ).
fof(f5235,plain,
( ~ spl79_162
| ~ spl79_92 ),
inference(avatar_split_clause,[],[f5189,f3146,f5233]) ).
fof(f5233,plain,
( spl79_162
<=> in(sK73(relation_field(sK3)),sF78) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_162])]) ).
fof(f5189,plain,
( ~ in(sK73(relation_field(sK3)),sF78)
| ~ spl79_92 ),
inference(resolution,[],[f4477,f1109]) ).
fof(f5219,plain,
( ~ spl79_161
| ~ spl79_92 ),
inference(avatar_split_clause,[],[f5187,f3146,f5217]) ).
fof(f5217,plain,
( spl79_161
<=> in(sK22(relation_field(sK3)),sF78) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_161])]) ).
fof(f5187,plain,
( ~ in(sK22(relation_field(sK3)),sF78)
| ~ spl79_92 ),
inference(resolution,[],[f4477,f1110]) ).
fof(f5197,plain,
( ~ spl79_160
| ~ spl79_92 ),
inference(avatar_split_clause,[],[f5185,f3146,f5195]) ).
fof(f5195,plain,
( spl79_160
<=> in(powerset(relation_field(sK3)),sF78) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_160])]) ).
fof(f5185,plain,
( ~ in(powerset(relation_field(sK3)),sF78)
| ~ spl79_92 ),
inference(resolution,[],[f4477,f1552]) ).
fof(f5193,plain,
( ~ spl79_159
| ~ spl79_92 ),
inference(avatar_split_clause,[],[f5184,f3146,f5191]) ).
fof(f5191,plain,
( spl79_159
<=> in(singleton(relation_field(sK3)),sF78) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_159])]) ).
fof(f5184,plain,
( ~ in(singleton(relation_field(sK3)),sF78)
| ~ spl79_92 ),
inference(resolution,[],[f4477,f1180]) ).
fof(f5020,plain,
( ~ spl79_157
| spl79_158
| ~ spl79_138 ),
inference(avatar_split_clause,[],[f4894,f4391,f5018,f5015]) ).
fof(f5018,plain,
( spl79_158
<=> ! [X2] : ~ in(X2,sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_158])]) ).
fof(f4894,plain,
( ! [X2] :
( ~ in(X2,sF74)
| ~ empty(relation_field(sF75)) )
| ~ spl79_138 ),
inference(resolution,[],[f4476,f745]) ).
fof(f4945,plain,
( ~ spl79_156
| ~ spl79_138 ),
inference(avatar_split_clause,[],[f4909,f4391,f4943]) ).
fof(f4909,plain,
( ~ in(sK73(relation_field(sF75)),sF74)
| ~ spl79_138 ),
inference(resolution,[],[f4476,f1109]) ).
fof(f4941,plain,
( ~ spl79_155
| ~ spl79_138 ),
inference(avatar_split_clause,[],[f4907,f4391,f4939]) ).
fof(f4907,plain,
( ~ in(sK22(relation_field(sF75)),sF74)
| ~ spl79_138 ),
inference(resolution,[],[f4476,f1110]) ).
fof(f4935,plain,
( spl79_125
| spl79_154
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f4518,f3490,f1594,f983,f4933,f4120]) ).
fof(f4933,plain,
( spl79_154
<=> ! [X7] :
( element(X7,sF74)
| ~ subset(sF74,singleton(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_154])]) ).
fof(f4518,plain,
( ! [X8,X7] :
( element(X7,sF74)
| ~ subset(sF74,singleton(X7))
| empty_set = relation_inverse_image(sF75,X8) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f4035,f3980]) ).
fof(f3980,plain,
( ! [X0,X1] :
( ~ in(X0,relation_inverse_image(sF75,X1))
| element(X0,sF74) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f3941,f499]) ).
fof(f499,plain,
! [X2,X0,X1] :
( ~ element(X2,powerset(X0))
| element(X1,X0)
| ~ in(X1,X2) ),
inference(cnf_transformation,[],[f485]) ).
fof(f485,plain,
! [X0,X1,X2] :
( ~ in(X1,X2)
| element(X1,X0)
| ~ element(X2,powerset(X0)) ),
inference(flattening,[],[f484]) ).
fof(f484,plain,
! [X0,X2,X1] :
( element(X1,X0)
| ~ element(X2,powerset(X0))
| ~ in(X1,X2) ),
inference(ennf_transformation,[],[f304]) ).
fof(f304,plain,
! [X0,X2,X1] :
( ( element(X2,powerset(X0))
& in(X1,X2) )
=> element(X1,X0) ),
inference(rectify,[],[f186]) ).
fof(f186,axiom,
! [X2,X0,X1] :
( ( in(X0,X1)
& element(X1,powerset(X2)) )
=> element(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f3941,plain,
( ! [X0] : element(relation_inverse_image(sF75,X0),powerset(sF74))
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(duplicate_literal_removal,[],[f3937]) ).
fof(f3937,plain,
( ! [X0] :
( element(relation_inverse_image(sF75,X0),powerset(sF74))
| element(relation_inverse_image(sF75,X0),powerset(sF74)) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f3762,f712]) ).
fof(f3762,plain,
( ! [X3,X4] :
( in(sK44(relation_inverse_image(sF75,X3),X4),sF74)
| element(relation_inverse_image(sF75,X3),powerset(X4)) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f3748,f713]) ).
fof(f4035,plain,
( ! [X62,X61] :
( in(X61,relation_inverse_image(sF75,X62))
| ~ subset(sF74,singleton(X61))
| empty_set = relation_inverse_image(sF75,X62) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(superposition,[],[f1175,f3779]) ).
fof(f4931,plain,
( spl79_137
| spl79_153
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f4041,f3490,f1594,f983,f4929,f4302]) ).
fof(f4302,plain,
( spl79_137
<=> ! [X17] : ~ subset(sF74,singleton(X17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_137])]) ).
fof(f4929,plain,
( spl79_153
<=> ! [X77,X78] :
( empty_set = relation_inverse_image(sF75,X77)
| ~ empty(set_union2(relation_inverse_image(sF75,X77),X78)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_153])]) ).
fof(f4041,plain,
( ! [X78,X76,X77] :
( empty_set = relation_inverse_image(sF75,X77)
| ~ empty(set_union2(relation_inverse_image(sF75,X77),X78))
| ~ subset(sF74,singleton(X76)) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(superposition,[],[f1190,f3779]) ).
fof(f1190,plain,
! [X4,X5] : ~ empty(set_union2(singleton(X4),X5)),
inference(resolution,[],[f1176,f745]) ).
fof(f4927,plain,
( ~ spl79_152
| ~ spl79_138 ),
inference(avatar_split_clause,[],[f4905,f4391,f4925]) ).
fof(f4905,plain,
( ~ in(powerset(relation_field(sF75)),sF74)
| ~ spl79_138 ),
inference(resolution,[],[f4476,f1552]) ).
fof(f4913,plain,
( ~ spl79_151
| ~ spl79_138 ),
inference(avatar_split_clause,[],[f4904,f4391,f4911]) ).
fof(f4904,plain,
( ~ in(singleton(relation_field(sF75)),sF74)
| ~ spl79_138 ),
inference(resolution,[],[f4476,f1180]) ).
fof(f4656,plain,
( spl79_150
| spl79_125
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f4064,f3490,f1594,f983,f4120,f4654]) ).
fof(f4654,plain,
( spl79_150
<=> ! [X31] :
( in(sK53(singleton(X31)),sF74)
| ~ subset(sF74,singleton(X31)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_150])]) ).
fof(f4064,plain,
( ! [X31,X30] :
( empty_set = relation_inverse_image(sF75,X30)
| in(sK53(singleton(X31)),sF74)
| ~ subset(sF74,singleton(X31)) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(subsumption_resolution,[],[f4002,f661]) ).
fof(f661,plain,
! [X0] : ~ empty(singleton(X0)),
inference(cnf_transformation,[],[f79]) ).
fof(f79,axiom,
! [X0] : ~ empty(singleton(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_subset_1) ).
fof(f4002,plain,
( ! [X31,X30] :
( ~ subset(sF74,singleton(X31))
| empty(singleton(X31))
| empty_set = relation_inverse_image(sF75,X30)
| in(sK53(singleton(X31)),sF74) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(superposition,[],[f3766,f3779]) ).
fof(f3766,plain,
( ! [X10] :
( in(sK53(relation_inverse_image(sF75,X10)),sF74)
| empty(relation_inverse_image(sF75,X10)) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f3748,f1545]) ).
fof(f4652,plain,
( ~ spl79_149
| ~ spl79_91 ),
inference(avatar_split_clause,[],[f4560,f3141,f4650]) ).
fof(f4650,plain,
( spl79_149
<=> in(sK73(relation_field(sK5)),sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_149])]) ).
fof(f4560,plain,
( ~ in(sK73(relation_field(sK5)),sF74)
| ~ spl79_91 ),
inference(resolution,[],[f4475,f1109]) ).
fof(f4648,plain,
( spl79_125
| spl79_148
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f4058,f3490,f1594,f983,f4646,f4120]) ).
fof(f4646,plain,
( spl79_148
<=> ! [X15] :
( in(sK0(singleton(X15)),sF74)
| ~ subset(sF74,singleton(X15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_148])]) ).
fof(f4058,plain,
( ! [X14,X15] :
( in(sK0(singleton(X15)),sF74)
| empty_set = relation_inverse_image(sF75,X14)
| ~ subset(sF74,singleton(X15)) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(subsumption_resolution,[],[f3996,f810]) ).
fof(f810,plain,
! [X0] : empty_set != singleton(X0),
inference(cnf_transformation,[],[f96]) ).
fof(f96,axiom,
! [X0] : empty_set != singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_zfmisc_1) ).
fof(f3996,plain,
( ! [X14,X15] :
( empty_set = relation_inverse_image(sF75,X14)
| in(sK0(singleton(X15)),sF74)
| empty_set = singleton(X15)
| ~ subset(sF74,singleton(X15)) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(superposition,[],[f3760,f3779]) ).
fof(f3760,plain,
( ! [X0] :
( in(sK0(relation_inverse_image(sF75,X0)),sF74)
| empty_set = relation_inverse_image(sF75,X0) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f3748,f486]) ).
fof(f4642,plain,
( ~ spl79_147
| ~ spl79_91 ),
inference(avatar_split_clause,[],[f4558,f3141,f4640]) ).
fof(f4640,plain,
( spl79_147
<=> in(sK22(relation_field(sK5)),sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_147])]) ).
fof(f4558,plain,
( ~ in(sK22(relation_field(sK5)),sF74)
| ~ spl79_91 ),
inference(resolution,[],[f4475,f1110]) ).
fof(f4638,plain,
( ~ spl79_146
| ~ spl79_91 ),
inference(avatar_split_clause,[],[f4556,f3141,f4636]) ).
fof(f4636,plain,
( spl79_146
<=> in(powerset(relation_field(sK5)),sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_146])]) ).
fof(f4556,plain,
( ~ in(powerset(relation_field(sK5)),sF74)
| ~ spl79_91 ),
inference(resolution,[],[f4475,f1552]) ).
fof(f4634,plain,
( spl79_125
| spl79_145
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f4520,f3490,f1594,f983,f4632,f4120]) ).
fof(f4632,plain,
( spl79_145
<=> ! [X12] :
( in(X12,sF74)
| ~ subset(sF74,singleton(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_145])]) ).
fof(f4520,plain,
( ! [X12,X13] :
( in(X12,sF74)
| ~ subset(sF74,singleton(X12))
| empty_set = relation_inverse_image(sF75,X13) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f4035,f3748]) ).
fof(f4630,plain,
( ~ spl79_143
| spl79_125
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f4571,f3490,f1594,f983,f4120,f4562]) ).
fof(f4562,plain,
( spl79_143
<=> subset(sF74,singleton(powerset(sF74))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_143])]) ).
fof(f4571,plain,
( ! [X0] :
( empty_set = relation_inverse_image(sF75,X0)
| ~ subset(sF74,singleton(powerset(sF74))) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f4038,f3987]) ).
fof(f3987,plain,
( ! [X7] : in(relation_inverse_image(sF75,X7),powerset(sF74))
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(subsumption_resolution,[],[f3984,f593]) ).
fof(f3984,plain,
( ! [X7] :
( empty(powerset(sF74))
| in(relation_inverse_image(sF75,X7),powerset(sF74)) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f3941,f508]) ).
fof(f4038,plain,
( ! [X68,X69] :
( ~ in(relation_inverse_image(sF75,X69),X68)
| ~ subset(sF74,singleton(X68))
| empty_set = relation_inverse_image(sF75,X69) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(superposition,[],[f1180,f3779]) ).
fof(f4570,plain,
( ~ spl79_144
| ~ spl79_91 ),
inference(avatar_split_clause,[],[f4555,f3141,f4568]) ).
fof(f4568,plain,
( spl79_144
<=> in(singleton(relation_field(sK5)),sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_144])]) ).
fof(f4555,plain,
( ~ in(singleton(relation_field(sK5)),sF74)
| ~ spl79_91 ),
inference(resolution,[],[f4475,f1180]) ).
fof(f4564,plain,
( spl79_125
| ~ spl79_143
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f4534,f3490,f1594,f983,f4562,f4120]) ).
fof(f4534,plain,
( ! [X42] :
( ~ subset(sF74,singleton(powerset(sF74)))
| empty_set = relation_inverse_image(sF75,X42) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f4035,f4070]) ).
fof(f4070,plain,
( ! [X2] : ~ in(powerset(sF74),relation_inverse_image(sF75,X2))
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f3987,f498]) ).
fof(f4543,plain,
( ~ spl79_142
| spl79_125
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108
| ~ spl79_126 ),
inference(avatar_split_clause,[],[f4539,f4126,f3490,f1594,f983,f4120,f4541]) ).
fof(f4541,plain,
( spl79_142
<=> subset(sF74,singleton(sF78)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_142])]) ).
fof(f4126,plain,
( spl79_126
<=> ! [X101] : ~ in(sF78,relation_inverse_image(sF75,X101)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_126])]) ).
fof(f4539,plain,
( ! [X49] :
( empty_set = relation_inverse_image(sF75,X49)
| ~ subset(sF74,singleton(sF78)) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108
| ~ spl79_126 ),
inference(resolution,[],[f4035,f4127]) ).
fof(f4127,plain,
( ! [X101] : ~ in(sF78,relation_inverse_image(sF75,X101))
| ~ spl79_126 ),
inference(avatar_component_clause,[],[f4126]) ).
fof(f4515,plain,
( spl79_125
| spl79_141
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108
| ~ spl79_126 ),
inference(avatar_split_clause,[],[f4132,f4126,f3490,f1594,f983,f4513,f4120]) ).
fof(f4513,plain,
( spl79_141
<=> ! [X1] :
( ~ subset(sF74,singleton(X1))
| ~ in(sF78,singleton(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_141])]) ).
fof(f4132,plain,
( ! [X0,X1] :
( ~ subset(sF74,singleton(X1))
| ~ in(sF78,singleton(X1))
| empty_set = relation_inverse_image(sF75,X0) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108
| ~ spl79_126 ),
inference(superposition,[],[f4127,f3779]) ).
fof(f4492,plain,
( ~ spl79_140
| ~ spl79_138 ),
inference(avatar_split_clause,[],[f4436,f4391,f4490]) ).
fof(f4490,plain,
( spl79_140
<=> proper_subset(relation_field(sF75),sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_140])]) ).
fof(f4436,plain,
( ~ proper_subset(relation_field(sF75),sF74)
| ~ spl79_138 ),
inference(superposition,[],[f1098,f4392]) ).
fof(f4488,plain,
( spl79_139
| ~ spl79_138 ),
inference(avatar_split_clause,[],[f4429,f4391,f4486]) ).
fof(f4429,plain,
( subset(sF74,relation_field(sF75))
| ~ spl79_138 ),
inference(superposition,[],[f617,f4392]) ).
fof(f4423,plain,
( spl79_138
| ~ spl79_93
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f4365,f3490,f3150,f4391]) ).
fof(f4365,plain,
( relation_field(sF75) = set_union2(sF74,relation_rng(sF75))
| ~ spl79_93
| ~ spl79_108 ),
inference(forward_demodulation,[],[f3151,f3491]) ).
fof(f4414,plain,
( spl79_138
| ~ spl79_48
| ~ spl79_113 ),
inference(avatar_split_clause,[],[f3693,f3677,f1594,f4391]) ).
fof(f3693,plain,
( relation_field(sF75) = set_union2(sF74,relation_rng(sF75))
| ~ spl79_48
| ~ spl79_113 ),
inference(subsumption_resolution,[],[f3683,f1595]) ).
fof(f3683,plain,
( relation_field(sF75) = set_union2(sF74,relation_rng(sF75))
| ~ relation(sF75)
| ~ spl79_113 ),
inference(superposition,[],[f615,f3678]) ).
fof(f4393,plain,
( spl79_138
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f4389,f3490,f1594,f983,f4391]) ).
fof(f4389,plain,
( relation_field(sF75) = set_union2(sF74,relation_rng(sF75))
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(forward_demodulation,[],[f3553,f3491]) ).
fof(f3553,plain,
( relation_field(sF75) = set_union2(sF76,relation_rng(sF75))
| ~ spl79_26
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f3543,f1595]) ).
fof(f3543,plain,
( relation_field(sF75) = set_union2(sF76,relation_rng(sF75))
| ~ relation(sF75)
| ~ spl79_26 ),
inference(superposition,[],[f615,f984]) ).
fof(f4336,plain,
( spl79_135
| spl79_125
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f4065,f3490,f1594,f983,f4120,f4288]) ).
fof(f4288,plain,
( spl79_135
<=> ! [X5] :
( ~ subset(sF74,singleton(X5))
| sF74 = singleton(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_135])]) ).
fof(f4065,plain,
( ! [X6,X7] :
( empty_set = relation_inverse_image(sF75,X6)
| ~ subset(sF74,singleton(X7))
| sF74 = singleton(X7) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(subsumption_resolution,[],[f3993,f742]) ).
fof(f3993,plain,
( ! [X6,X7] :
( proper_subset(singleton(X7),sF74)
| sF74 = singleton(X7)
| empty_set = relation_inverse_image(sF75,X6)
| ~ subset(sF74,singleton(X7)) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(superposition,[],[f3747,f3779]) ).
fof(f3747,plain,
( ! [X1] :
( proper_subset(relation_inverse_image(sF75,X1),sF74)
| relation_inverse_image(sF75,X1) = sF74 )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f3673,f769]) ).
fof(f4335,plain,
( spl79_133
| spl79_125
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108
| ~ spl79_113 ),
inference(avatar_split_clause,[],[f4060,f3677,f3490,f1594,f983,f4120,f4258]) ).
fof(f4258,plain,
( spl79_133
<=> ! [X1] :
( subset(singleton(X1),sF74)
| ~ subset(sF74,singleton(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_133])]) ).
fof(f4060,plain,
( ! [X62,X61] :
( empty_set = relation_inverse_image(sF75,X61)
| ~ subset(sF74,singleton(X62))
| subset(singleton(X62),sF74) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108
| ~ spl79_113 ),
inference(forward_demodulation,[],[f4059,f3678]) ).
fof(f4059,plain,
( ! [X62,X61] :
( subset(singleton(X62),relation_dom(sF75))
| empty_set = relation_inverse_image(sF75,X61)
| ~ subset(sF74,singleton(X62)) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(subsumption_resolution,[],[f4014,f1595]) ).
fof(f4014,plain,
( ! [X62,X61] :
( subset(singleton(X62),relation_dom(sF75))
| ~ subset(sF74,singleton(X62))
| empty_set = relation_inverse_image(sF75,X61)
| ~ relation(sF75) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(superposition,[],[f676,f3779]) ).
fof(f4304,plain,
( spl79_136
| spl79_137
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f4286,f3490,f1594,f983,f4302,f4299]) ).
fof(f4299,plain,
( spl79_136
<=> ! [X18] :
( empty_set = relation_inverse_image(sF75,X18)
| relation_inverse_image(sF75,X18) = sF74 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_136])]) ).
fof(f4286,plain,
( ! [X18,X17] :
( ~ subset(sF74,singleton(X17))
| empty_set = relation_inverse_image(sF75,X18)
| relation_inverse_image(sF75,X18) = sF74 )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(backward_subsumption_demodulation,[],[f3779,f4054]) ).
fof(f4054,plain,
( ! [X4,X5] :
( ~ subset(sF74,singleton(X5))
| empty_set = relation_inverse_image(sF75,X4)
| sF74 = singleton(X5) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(duplicate_literal_removal,[],[f3992]) ).
fof(f3992,plain,
( ! [X4,X5] :
( ~ subset(sF74,singleton(X5))
| empty_set = relation_inverse_image(sF75,X4)
| ~ subset(sF74,singleton(X5))
| sF74 = singleton(X5) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(superposition,[],[f3746,f3779]) ).
fof(f3746,plain,
( ! [X0] :
( ~ subset(sF74,relation_inverse_image(sF75,X0))
| sF74 = relation_inverse_image(sF75,X0) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f3673,f860]) ).
fof(f4290,plain,
( spl79_125
| spl79_135
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f4054,f3490,f1594,f983,f4288,f4120]) ).
fof(f4285,plain,
( spl79_125
| spl79_134
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f3991,f3490,f1594,f983,f4283,f4120]) ).
fof(f4283,plain,
( spl79_134
<=> ! [X3] :
( ~ proper_subset(sF74,singleton(X3))
| ~ subset(sF74,singleton(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_134])]) ).
fof(f3991,plain,
( ! [X2,X3] :
( ~ proper_subset(sF74,singleton(X3))
| ~ subset(sF74,singleton(X3))
| empty_set = relation_inverse_image(sF75,X2) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(superposition,[],[f3674,f3779]) ).
fof(f3674,plain,
( ! [X7] : ~ proper_subset(sF74,relation_inverse_image(sF75,X7))
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(backward_demodulation,[],[f3560,f3491]) ).
fof(f3560,plain,
( ! [X7] : ~ proper_subset(sF76,relation_inverse_image(sF75,X7))
| ~ spl79_26
| ~ spl79_48 ),
inference(resolution,[],[f3550,f742]) ).
fof(f4260,plain,
( spl79_125
| spl79_133
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f3990,f3490,f1594,f983,f4258,f4120]) ).
fof(f3990,plain,
( ! [X0,X1] :
( subset(singleton(X1),sF74)
| empty_set = relation_inverse_image(sF75,X0)
| ~ subset(sF74,singleton(X1)) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(superposition,[],[f3673,f3779]) ).
fof(f4255,plain,
( ~ spl79_132
| ~ spl79_95
| ~ spl79_124 ),
inference(avatar_split_clause,[],[f4243,f4099,f3174,f4253]) ).
fof(f4243,plain,
( ~ subset(relation_field(sK5),empty_set)
| ~ spl79_95
| ~ spl79_124 ),
inference(resolution,[],[f4100,f3175]) ).
fof(f4187,plain,
( ~ spl79_131
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f4158,f3490,f1853,f4183]) ).
fof(f4183,plain,
( spl79_131
<=> proper_subset(cartesian_product2(sF74,relation_rng(sF75)),sF75) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_131])]) ).
fof(f4158,plain,
( ~ proper_subset(cartesian_product2(sF74,relation_rng(sF75)),sF75)
| ~ spl79_49
| ~ spl79_108 ),
inference(forward_demodulation,[],[f3611,f3491]) ).
fof(f3611,plain,
( ~ proper_subset(cartesian_product2(sF76,relation_rng(sF75)),sF75)
| ~ spl79_49 ),
inference(resolution,[],[f1854,f742]) ).
fof(f4186,plain,
( ~ spl79_131
| ~ spl79_121 ),
inference(avatar_split_clause,[],[f3935,f3918,f4183]) ).
fof(f3918,plain,
( spl79_121
<=> subset(sF75,cartesian_product2(sF74,relation_rng(sF75))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_121])]) ).
fof(f3935,plain,
( ~ proper_subset(cartesian_product2(sF74,relation_rng(sF75)),sF75)
| ~ spl79_121 ),
inference(resolution,[],[f3919,f742]) ).
fof(f3919,plain,
( subset(sF75,cartesian_product2(sF74,relation_rng(sF75)))
| ~ spl79_121 ),
inference(avatar_component_clause,[],[f3918]) ).
fof(f4185,plain,
( ~ spl79_131
| spl79_55
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f3667,f3490,f1906,f4183]) ).
fof(f1906,plain,
( spl79_55
<=> proper_subset(cartesian_product2(sF76,relation_rng(sF75)),sF75) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_55])]) ).
fof(f3667,plain,
( ~ proper_subset(cartesian_product2(sF74,relation_rng(sF75)),sF75)
| spl79_55
| ~ spl79_108 ),
inference(backward_demodulation,[],[f1907,f3491]) ).
fof(f1907,plain,
( ~ proper_subset(cartesian_product2(sF76,relation_rng(sF75)),sF75)
| spl79_55 ),
inference(avatar_component_clause,[],[f1906]) ).
fof(f4143,plain,
( spl79_129
| spl79_130
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f3880,f3490,f1594,f983,f4141,f4138]) ).
fof(f3880,plain,
( ! [X21,X19,X20] :
( ~ empty(X20)
| ~ subset(X19,X20)
| empty(relation_inverse_image(sF75,X21))
| ~ subset(sF74,X19) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f3776,f1310]) ).
fof(f4136,plain,
( spl79_127
| spl79_128
| ~ spl79_26
| ~ spl79_28
| ~ spl79_48
| spl79_62
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f4062,f3490,f2275,f1594,f991,f983,f4134,f4129]) ).
fof(f4129,plain,
( spl79_127
<=> ! [X100] :
( ~ empty(X100)
| ~ subset(sF74,singleton(X100)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_127])]) ).
fof(f4134,plain,
( spl79_128
<=> ! [X99] : ~ in(sF74,relation_inverse_image(sF75,X99)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_128])]) ).
fof(f4062,plain,
( ! [X98,X99] :
( ~ in(sF74,relation_inverse_image(sF75,X99))
| ~ empty(X98)
| ~ subset(sF74,singleton(X98)) )
| ~ spl79_26
| ~ spl79_28
| ~ spl79_48
| spl79_62
| ~ spl79_108 ),
inference(subsumption_resolution,[],[f4049,f487]) ).
fof(f487,plain,
! [X0,X1] :
( empty_set != X0
| ~ in(X1,X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f4049,plain,
( ! [X98,X99] :
( ~ empty(X98)
| empty_set = relation_inverse_image(sF75,X99)
| ~ in(sF74,relation_inverse_image(sF75,X99))
| ~ subset(sF74,singleton(X98)) )
| ~ spl79_26
| ~ spl79_28
| ~ spl79_48
| spl79_62
| ~ spl79_108 ),
inference(superposition,[],[f2621,f3779]) ).
fof(f2621,plain,
( ! [X0] :
( ~ in(sF74,singleton(X0))
| ~ empty(X0) )
| ~ spl79_28
| spl79_62 ),
inference(duplicate_literal_removal,[],[f2620]) ).
fof(f2620,plain,
( ! [X0] :
( ~ in(sF74,singleton(X0))
| ~ empty(X0)
| ~ empty(X0) )
| ~ spl79_28
| spl79_62 ),
inference(superposition,[],[f2605,f1064]) ).
fof(f2605,plain,
( ! [X0] :
( ~ in(sF74,powerset(X0))
| ~ empty(X0) )
| spl79_62 ),
inference(superposition,[],[f2491,f704]) ).
fof(f2491,plain,
( ! [X3] :
( ~ empty(union(X3))
| ~ in(sF74,X3) )
| spl79_62 ),
inference(resolution,[],[f2479,f718]) ).
fof(f4131,plain,
( spl79_126
| spl79_127
| ~ spl79_26
| ~ spl79_28
| ~ spl79_48
| spl79_76
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f4056,f3490,f2670,f1594,f991,f983,f4129,f4126]) ).
fof(f4056,plain,
( ! [X101,X100] :
( ~ empty(X100)
| ~ subset(sF74,singleton(X100))
| ~ in(sF78,relation_inverse_image(sF75,X101)) )
| ~ spl79_26
| ~ spl79_28
| ~ spl79_48
| spl79_76
| ~ spl79_108 ),
inference(subsumption_resolution,[],[f4050,f487]) ).
fof(f4050,plain,
( ! [X101,X100] :
( ~ in(sF78,relation_inverse_image(sF75,X101))
| empty_set = relation_inverse_image(sF75,X101)
| ~ subset(sF74,singleton(X100))
| ~ empty(X100) )
| ~ spl79_26
| ~ spl79_28
| ~ spl79_48
| spl79_76
| ~ spl79_108 ),
inference(superposition,[],[f2704,f3779]) ).
fof(f2704,plain,
( ! [X0] :
( ~ in(sF78,singleton(X0))
| ~ empty(X0) )
| ~ spl79_28
| spl79_76 ),
inference(duplicate_literal_removal,[],[f2703]) ).
fof(f2703,plain,
( ! [X0] :
( ~ in(sF78,singleton(X0))
| ~ empty(X0)
| ~ empty(X0) )
| ~ spl79_28
| spl79_76 ),
inference(superposition,[],[f2697,f1064]) ).
fof(f2697,plain,
( ! [X0] :
( ~ in(sF78,powerset(X0))
| ~ empty(X0) )
| spl79_76 ),
inference(superposition,[],[f2683,f704]) ).
fof(f2683,plain,
( ! [X3] :
( ~ empty(union(X3))
| ~ in(sF78,X3) )
| spl79_76 ),
inference(resolution,[],[f2677,f718]) ).
fof(f4122,plain,
( spl79_124
| spl79_125
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f3875,f3490,f1594,f983,f4120,f4099]) ).
fof(f3875,plain,
( ! [X3,X4] :
( empty_set = relation_inverse_image(sF75,X4)
| ~ subset(X3,empty_set)
| ~ subset(sF74,X3) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f3776,f644]) ).
fof(f4101,plain,
( spl79_123
| spl79_124
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f3874,f3490,f1594,f983,f4099,f4096]) ).
fof(f3874,plain,
( ! [X2,X0,X1] :
( ~ subset(X0,empty_set)
| disjoint(relation_inverse_image(sF75,X1),X2)
| ~ subset(sF74,X0) )
| ~ spl79_26
| ~ spl79_48
| ~ spl79_108 ),
inference(resolution,[],[f3776,f2119]) ).
fof(f3926,plain,
( spl79_122
| ~ spl79_48
| ~ spl79_113 ),
inference(avatar_split_clause,[],[f3691,f3677,f1594,f3922]) ).
fof(f3922,plain,
( spl79_122
<=> relation_image(sF75,sF74) = relation_rng(sF75) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_122])]) ).
fof(f3691,plain,
( relation_image(sF75,sF74) = relation_rng(sF75)
| ~ spl79_48
| ~ spl79_113 ),
inference(subsumption_resolution,[],[f3687,f1595]) ).
fof(f3687,plain,
( ~ relation(sF75)
| relation_image(sF75,sF74) = relation_rng(sF75)
| ~ spl79_113 ),
inference(superposition,[],[f708,f3678]) ).
fof(f3925,plain,
( spl79_121
| ~ spl79_48
| ~ spl79_113 ),
inference(avatar_split_clause,[],[f3690,f3677,f1594,f3918]) ).
fof(f3690,plain,
( subset(sF75,cartesian_product2(sF74,relation_rng(sF75)))
| ~ spl79_48
| ~ spl79_113 ),
inference(subsumption_resolution,[],[f3681,f1595]) ).
fof(f3681,plain,
( ~ relation(sF75)
| subset(sF75,cartesian_product2(sF74,relation_rng(sF75)))
| ~ spl79_113 ),
inference(superposition,[],[f526,f3678]) ).
fof(f3924,plain,
( spl79_122
| ~ spl79_59
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f3668,f3490,f2104,f3922]) ).
fof(f2104,plain,
( spl79_59
<=> relation_image(sF75,sF76) = relation_rng(sF75) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_59])]) ).
fof(f3668,plain,
( relation_image(sF75,sF74) = relation_rng(sF75)
| ~ spl79_59
| ~ spl79_108 ),
inference(backward_demodulation,[],[f2105,f3491]) ).
fof(f2105,plain,
( relation_image(sF75,sF76) = relation_rng(sF75)
| ~ spl79_59 ),
inference(avatar_component_clause,[],[f2104]) ).
fof(f3920,plain,
( spl79_121
| ~ spl79_49
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f3665,f3490,f1853,f3918]) ).
fof(f3665,plain,
( subset(sF75,cartesian_product2(sF74,relation_rng(sF75)))
| ~ spl79_49
| ~ spl79_108 ),
inference(backward_demodulation,[],[f1854,f3491]) ).
fof(f3898,plain,
( ~ spl79_120
| ~ spl79_108
| spl79_111 ),
inference(avatar_split_clause,[],[f3672,f3525,f3490,f3896]) ).
fof(f3896,plain,
( spl79_120
<=> empty(cartesian_product2(sF74,relation_rng(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_120])]) ).
fof(f3672,plain,
( ~ empty(cartesian_product2(sF74,relation_rng(sK3)))
| ~ spl79_108
| spl79_111 ),
inference(backward_demodulation,[],[f3526,f3491]) ).
fof(f3872,plain,
( ~ spl79_119
| spl79_52
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f3666,f3490,f1869,f3870]) ).
fof(f3870,plain,
( spl79_119
<=> empty(cartesian_product2(sF74,relation_rng(sF75))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_119])]) ).
fof(f3666,plain,
( ~ empty(cartesian_product2(sF74,relation_rng(sF75)))
| spl79_52
| ~ spl79_108 ),
inference(backward_demodulation,[],[f1870,f3491]) ).
fof(f3770,plain,
( ~ spl79_118
| ~ spl79_115 ),
inference(avatar_split_clause,[],[f3744,f3730,f3768]) ).
fof(f3768,plain,
( spl79_118
<=> in(sF74,sK0(sF74)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_118])]) ).
fof(f3730,plain,
( spl79_115
<=> in(sK0(sF74),sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_115])]) ).
fof(f3744,plain,
( ~ in(sF74,sK0(sF74))
| ~ spl79_115 ),
inference(resolution,[],[f3731,f498]) ).
fof(f3731,plain,
( in(sK0(sF74),sF74)
| ~ spl79_115 ),
inference(avatar_component_clause,[],[f3730]) ).
fof(f3759,plain,
( spl79_117
| ~ spl79_115 ),
inference(avatar_split_clause,[],[f3743,f3730,f3757]) ).
fof(f3757,plain,
( spl79_117
<=> element(sK0(sF74),sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_117])]) ).
fof(f3743,plain,
( element(sK0(sF74),sF74)
| ~ spl79_115 ),
inference(resolution,[],[f3731,f831]) ).
fof(f3755,plain,
( ~ spl79_116
| ~ spl79_114 ),
inference(avatar_split_clause,[],[f3727,f3697,f3753]) ).
fof(f3753,plain,
( spl79_116
<=> in(sF74,sK53(sF74)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_116])]) ).
fof(f3697,plain,
( spl79_114
<=> in(sK53(sF74),sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_114])]) ).
fof(f3727,plain,
( ~ in(sF74,sK53(sF74))
| ~ spl79_114 ),
inference(resolution,[],[f3698,f498]) ).
fof(f3698,plain,
( in(sK53(sF74),sF74)
| ~ spl79_114 ),
inference(avatar_component_clause,[],[f3697]) ).
fof(f3732,plain,
( spl79_115
| spl79_70
| ~ spl79_106
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f3700,f3490,f3449,f2564,f3730]) ).
fof(f3700,plain,
( in(sK0(sF74),sF74)
| spl79_70
| ~ spl79_106
| ~ spl79_108 ),
inference(forward_demodulation,[],[f3632,f3491]) ).
fof(f3699,plain,
( spl79_114
| spl79_35
| ~ spl79_106
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f3695,f3490,f3449,f1046,f3697]) ).
fof(f3695,plain,
( in(sK53(sF74),sF74)
| spl79_35
| ~ spl79_106
| ~ spl79_108 ),
inference(forward_demodulation,[],[f3629,f3491]) ).
fof(f3679,plain,
( spl79_113
| ~ spl79_26
| ~ spl79_108 ),
inference(avatar_split_clause,[],[f3661,f3490,f983,f3677]) ).
fof(f3661,plain,
( relation_dom(sF75) = sF74
| ~ spl79_26
| ~ spl79_108 ),
inference(backward_demodulation,[],[f984,f3491]) ).
fof(f3631,plain,
( ~ spl79_5
| spl79_6
| ~ spl79_106 ),
inference(avatar_contradiction_clause,[],[f3630]) ).
fof(f3630,plain,
( $false
| ~ spl79_5
| spl79_6
| ~ spl79_106 ),
inference(subsumption_resolution,[],[f3622,f897]) ).
fof(f897,plain,
( ~ in(sK4,sF74)
| spl79_6 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f3622,plain,
( in(sK4,sF74)
| ~ spl79_5
| ~ spl79_106 ),
inference(resolution,[],[f3454,f888]) ).
fof(f3618,plain,
( spl79_112
| spl79_108
| ~ spl79_106 ),
inference(avatar_split_clause,[],[f3453,f3449,f3490,f3616]) ).
fof(f3453,plain,
( sF74 = sF76
| proper_subset(sF76,sF74)
| ~ spl79_106 ),
inference(resolution,[],[f3450,f769]) ).
fof(f3527,plain,
( ~ spl79_111
| spl79_33
| ~ spl79_49
| ~ spl79_104 ),
inference(avatar_split_clause,[],[f3381,f3378,f1853,f1031,f3525]) ).
fof(f3381,plain,
( ~ empty(cartesian_product2(sF76,relation_rng(sK3)))
| spl79_33
| ~ spl79_49
| ~ spl79_104 ),
inference(resolution,[],[f3379,f3004]) ).
fof(f3004,plain,
( ! [X4] :
( ~ subset(relation_rng(sF75),X4)
| ~ empty(cartesian_product2(sF76,X4)) )
| spl79_33
| ~ spl79_49 ),
inference(resolution,[],[f2941,f563]) ).
fof(f2941,plain,
( ! [X0] :
( ~ subset(cartesian_product2(sF76,relation_rng(sF75)),X0)
| ~ empty(X0) )
| spl79_33
| ~ spl79_49 ),
inference(superposition,[],[f2938,f497]) ).
fof(f3523,plain,
( ~ spl79_110
| spl79_30
| ~ spl79_51
| ~ spl79_102 ),
inference(avatar_split_clause,[],[f3315,f3312,f1861,f1013,f3521]) ).
fof(f3521,plain,
( spl79_110
<=> empty(cartesian_product2(sF78,relation_field(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_110])]) ).
fof(f3315,plain,
( ~ empty(cartesian_product2(sF78,relation_field(sK3)))
| spl79_30
| ~ spl79_51
| ~ spl79_102 ),
inference(resolution,[],[f3313,f2827]) ).
fof(f3519,plain,
( spl79_5
| ~ spl79_6
| ~ spl79_108 ),
inference(avatar_contradiction_clause,[],[f3518]) ).
fof(f3518,plain,
( $false
| spl79_5
| ~ spl79_6
| ~ spl79_108 ),
inference(subsumption_resolution,[],[f3504,f891]) ).
fof(f3504,plain,
( ~ in(sK4,sF74)
| spl79_5
| ~ spl79_108 ),
inference(backward_demodulation,[],[f2414,f3491]) ).
fof(f3495,plain,
( spl79_108
| ~ spl79_109
| ~ spl79_106 ),
inference(avatar_split_clause,[],[f3452,f3449,f3493,f3490]) ).
fof(f3452,plain,
( ~ subset(sF74,sF76)
| sF74 = sF76
| ~ spl79_106 ),
inference(resolution,[],[f3450,f860]) ).
fof(f3488,plain,
( ~ spl79_107
| ~ spl79_106 ),
inference(avatar_split_clause,[],[f3457,f3449,f3486]) ).
fof(f3486,plain,
( spl79_107
<=> proper_subset(sF74,sF76) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_107])]) ).
fof(f3457,plain,
( ~ proper_subset(sF74,sF76)
| ~ spl79_106 ),
inference(resolution,[],[f3450,f742]) ).
fof(f3451,plain,
( spl79_106
| ~ spl79_1
| ~ spl79_3
| ~ spl79_25
| ~ spl79_26
| ~ spl79_38 ),
inference(avatar_split_clause,[],[f3441,f1073,f983,f979,f879,f871,f3449]) ).
fof(f3441,plain,
( subset(sF76,sF74)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_25
| ~ spl79_26
| ~ spl79_38 ),
inference(forward_demodulation,[],[f3440,f984]) ).
fof(f3440,plain,
( subset(relation_dom(sF75),sF74)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_25
| ~ spl79_38 ),
inference(forward_demodulation,[],[f3439,f980]) ).
fof(f3439,plain,
( subset(relation_dom(sF75),relation_dom(sK5))
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38 ),
inference(subsumption_resolution,[],[f3438,f872]) ).
fof(f3438,plain,
( subset(relation_dom(sF75),relation_dom(sK5))
| ~ relation(sK5)
| ~ spl79_3
| ~ spl79_38 ),
inference(subsumption_resolution,[],[f3424,f880]) ).
fof(f3424,plain,
( subset(relation_dom(sF75),relation_dom(sK5))
| ~ relation(sK3)
| ~ relation(sK5)
| ~ spl79_38 ),
inference(superposition,[],[f675,f1074]) ).
fof(f3415,plain,
( ~ spl79_82
| spl79_85
| ~ spl79_104 ),
inference(avatar_split_clause,[],[f3386,f3378,f3025,f2843]) ).
fof(f3386,plain,
( empty(relation_rng(sF75))
| ~ empty(relation_rng(sK3))
| ~ spl79_104 ),
inference(resolution,[],[f3379,f1310]) ).
fof(f3396,plain,
( ~ spl79_103
| ~ spl79_102 ),
inference(avatar_split_clause,[],[f3321,f3312,f3354]) ).
fof(f3321,plain,
( ~ proper_subset(relation_field(sK3),relation_rng(sK3))
| ~ spl79_102 ),
inference(resolution,[],[f3313,f742]) ).
fof(f3393,plain,
( ~ spl79_105
| ~ spl79_104 ),
inference(avatar_split_clause,[],[f3387,f3378,f3391]) ).
fof(f3387,plain,
( ~ proper_subset(relation_rng(sK3),relation_rng(sF75))
| ~ spl79_104 ),
inference(resolution,[],[f3379,f742]) ).
fof(f3380,plain,
( spl79_104
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38 ),
inference(avatar_split_clause,[],[f3374,f1073,f879,f871,f3378]) ).
fof(f3374,plain,
( subset(relation_rng(sF75),relation_rng(sK3))
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38 ),
inference(subsumption_resolution,[],[f3373,f872]) ).
fof(f3373,plain,
( subset(relation_rng(sF75),relation_rng(sK3))
| ~ relation(sK5)
| ~ spl79_3
| ~ spl79_38 ),
inference(subsumption_resolution,[],[f3363,f880]) ).
fof(f3363,plain,
( ~ relation(sK3)
| subset(relation_rng(sF75),relation_rng(sK3))
| ~ relation(sK5)
| ~ spl79_38 ),
inference(superposition,[],[f534,f1074]) ).
fof(f534,plain,
! [X0,X1] :
( subset(relation_rng(relation_composition(X0,X1)),relation_rng(X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f398]) ).
fof(f398,plain,
! [X0] :
( ! [X1] :
( subset(relation_rng(relation_composition(X0,X1)),relation_rng(X1))
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f176]) ).
fof(f176,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> subset(relation_rng(relation_composition(X0,X1)),relation_rng(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t45_relat_1) ).
fof(f3356,plain,
( ~ spl79_103
| ~ spl79_92 ),
inference(avatar_split_clause,[],[f3237,f3146,f3354]) ).
fof(f3237,plain,
( ~ proper_subset(relation_field(sK3),relation_rng(sK3))
| ~ spl79_92 ),
inference(superposition,[],[f1233,f3147]) ).
fof(f1233,plain,
! [X2,X3] : ~ proper_subset(set_union2(X3,X2),X2),
inference(superposition,[],[f1098,f541]) ).
fof(f3314,plain,
( spl79_102
| ~ spl79_92 ),
inference(avatar_split_clause,[],[f3238,f3146,f3312]) ).
fof(f3238,plain,
( subset(relation_rng(sK3),relation_field(sK3))
| ~ spl79_92 ),
inference(superposition,[],[f1235,f3147]) ).
fof(f3303,plain,
( ~ spl79_101
| ~ spl79_92 ),
inference(avatar_split_clause,[],[f3236,f3146,f3301]) ).
fof(f3301,plain,
( spl79_101
<=> proper_subset(relation_field(sK3),sF78) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_101])]) ).
fof(f3236,plain,
( ~ proper_subset(relation_field(sK3),sF78)
| ~ spl79_92 ),
inference(superposition,[],[f1098,f3147]) ).
fof(f3299,plain,
( spl79_100
| ~ spl79_92 ),
inference(avatar_split_clause,[],[f3231,f3146,f3297]) ).
fof(f3231,plain,
( subset(sF78,relation_field(sK3))
| ~ spl79_92 ),
inference(superposition,[],[f617,f3147]) ).
fof(f3243,plain,
( ~ spl79_99
| spl79_37
| ~ spl79_92 ),
inference(avatar_split_clause,[],[f3239,f3146,f1067,f3241]) ).
fof(f3239,plain,
( ~ empty(relation_field(sK3))
| spl79_37
| ~ spl79_92 ),
inference(subsumption_resolution,[],[f3232,f1262]) ).
fof(f1262,plain,
( ~ empty(sF78)
| spl79_37 ),
inference(avatar_component_clause,[],[f1067]) ).
fof(f3232,plain,
( empty(sF78)
| ~ empty(relation_field(sK3))
| ~ spl79_92 ),
inference(superposition,[],[f736,f3147]) ).
fof(f3216,plain,
( ~ spl79_98
| ~ spl79_97 ),
inference(avatar_split_clause,[],[f3207,f3199,f3213]) ).
fof(f3207,plain,
( ~ proper_subset(relation_field(sK5),relation_rng(sK5))
| ~ spl79_97 ),
inference(resolution,[],[f3200,f742]) ).
fof(f3215,plain,
( ~ spl79_98
| ~ spl79_91 ),
inference(avatar_split_clause,[],[f3163,f3141,f3213]) ).
fof(f3163,plain,
( ~ proper_subset(relation_field(sK5),relation_rng(sK5))
| ~ spl79_91 ),
inference(superposition,[],[f1233,f3142]) ).
fof(f3201,plain,
( spl79_97
| ~ spl79_91 ),
inference(avatar_split_clause,[],[f3164,f3141,f3199]) ).
fof(f3164,plain,
( subset(relation_rng(sK5),relation_field(sK5))
| ~ spl79_91 ),
inference(superposition,[],[f1235,f3142]) ).
fof(f3190,plain,
( ~ spl79_96
| ~ spl79_91 ),
inference(avatar_split_clause,[],[f3162,f3141,f3188]) ).
fof(f3188,plain,
( spl79_96
<=> proper_subset(relation_field(sK5),sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_96])]) ).
fof(f3162,plain,
( ~ proper_subset(relation_field(sK5),sF74)
| ~ spl79_91 ),
inference(superposition,[],[f1098,f3142]) ).
fof(f3176,plain,
( spl79_95
| ~ spl79_91 ),
inference(avatar_split_clause,[],[f3157,f3141,f3174]) ).
fof(f3157,plain,
( subset(sF74,relation_field(sK5))
| ~ spl79_91 ),
inference(superposition,[],[f617,f3142]) ).
fof(f3170,plain,
( ~ spl79_94
| spl79_40
| ~ spl79_91 ),
inference(avatar_split_clause,[],[f3165,f3141,f1081,f3168]) ).
fof(f3168,plain,
( spl79_94
<=> empty(relation_field(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_94])]) ).
fof(f3165,plain,
( ~ empty(relation_field(sK5))
| spl79_40
| ~ spl79_91 ),
inference(subsumption_resolution,[],[f3158,f1264]) ).
fof(f3158,plain,
( ~ empty(relation_field(sK5))
| empty(sF74)
| ~ spl79_91 ),
inference(superposition,[],[f736,f3142]) ).
fof(f3152,plain,
( spl79_93
| ~ spl79_26
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f3135,f1594,f983,f3150]) ).
fof(f3135,plain,
( relation_field(sF75) = set_union2(sF76,relation_rng(sF75))
| ~ spl79_26
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f3100,f1595]) ).
fof(f3100,plain,
( relation_field(sF75) = set_union2(sF76,relation_rng(sF75))
| ~ relation(sF75)
| ~ spl79_26 ),
inference(superposition,[],[f615,f984]) ).
fof(f3148,plain,
( spl79_92
| ~ spl79_3
| ~ spl79_27 ),
inference(avatar_split_clause,[],[f3129,f987,f879,f3146]) ).
fof(f3129,plain,
( set_union2(sF78,relation_rng(sK3)) = relation_field(sK3)
| ~ spl79_3
| ~ spl79_27 ),
inference(subsumption_resolution,[],[f3098,f880]) ).
fof(f3098,plain,
( ~ relation(sK3)
| set_union2(sF78,relation_rng(sK3)) = relation_field(sK3)
| ~ spl79_27 ),
inference(superposition,[],[f615,f988]) ).
fof(f3144,plain,
( spl79_90
| ~ spl79_10
| ~ spl79_19
| ~ spl79_20 ),
inference(avatar_split_clause,[],[f3134,f951,f947,f908,f3137]) ).
fof(f3137,plain,
( spl79_90
<=> empty_set = relation_field(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_90])]) ).
fof(f3134,plain,
( empty_set = relation_field(empty_set)
| ~ spl79_10
| ~ spl79_19
| ~ spl79_20 ),
inference(forward_demodulation,[],[f3133,f948]) ).
fof(f3133,plain,
( relation_dom(empty_set) = relation_field(empty_set)
| ~ spl79_10
| ~ spl79_20 ),
inference(forward_demodulation,[],[f3132,f612]) ).
fof(f3132,plain,
( relation_field(empty_set) = set_union2(relation_dom(empty_set),empty_set)
| ~ spl79_10
| ~ spl79_20 ),
inference(subsumption_resolution,[],[f3103,f909]) ).
fof(f3103,plain,
( ~ relation(empty_set)
| relation_field(empty_set) = set_union2(relation_dom(empty_set),empty_set)
| ~ spl79_20 ),
inference(superposition,[],[f615,f952]) ).
fof(f3143,plain,
( spl79_91
| ~ spl79_1
| ~ spl79_25 ),
inference(avatar_split_clause,[],[f3120,f979,f871,f3141]) ).
fof(f3120,plain,
( relation_field(sK5) = set_union2(sF74,relation_rng(sK5))
| ~ spl79_1
| ~ spl79_25 ),
inference(subsumption_resolution,[],[f3099,f872]) ).
fof(f3099,plain,
( relation_field(sK5) = set_union2(sF74,relation_rng(sK5))
| ~ relation(sK5)
| ~ spl79_25 ),
inference(superposition,[],[f615,f980]) ).
fof(f3139,plain,
( spl79_90
| ~ spl79_10
| ~ spl79_19
| ~ spl79_20 ),
inference(avatar_split_clause,[],[f3119,f951,f947,f908,f3137]) ).
fof(f3119,plain,
( empty_set = relation_field(empty_set)
| ~ spl79_10
| ~ spl79_19
| ~ spl79_20 ),
inference(forward_demodulation,[],[f3118,f952]) ).
fof(f3118,plain,
( relation_rng(empty_set) = relation_field(empty_set)
| ~ spl79_10
| ~ spl79_19 ),
inference(forward_demodulation,[],[f3117,f1230]) ).
fof(f3117,plain,
( relation_field(empty_set) = set_union2(empty_set,relation_rng(empty_set))
| ~ spl79_10
| ~ spl79_19 ),
inference(subsumption_resolution,[],[f3096,f909]) ).
fof(f3096,plain,
( relation_field(empty_set) = set_union2(empty_set,relation_rng(empty_set))
| ~ relation(empty_set)
| ~ spl79_19 ),
inference(superposition,[],[f615,f948]) ).
fof(f3088,plain,
( ~ spl79_89
| ~ spl79_51 ),
inference(avatar_split_clause,[],[f3068,f1861,f3086]) ).
fof(f3086,plain,
( spl79_89
<=> in(sK73(cartesian_product2(sF78,relation_rng(sK3))),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_89])]) ).
fof(f3068,plain,
( ~ in(sK73(cartesian_product2(sF78,relation_rng(sK3))),sK3)
| ~ spl79_51 ),
inference(resolution,[],[f2374,f1109]) ).
fof(f3084,plain,
( ~ spl79_88
| ~ spl79_51 ),
inference(avatar_split_clause,[],[f3066,f1861,f3082]) ).
fof(f3082,plain,
( spl79_88
<=> in(sK22(cartesian_product2(sF78,relation_rng(sK3))),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_88])]) ).
fof(f3066,plain,
( ~ in(sK22(cartesian_product2(sF78,relation_rng(sK3))),sK3)
| ~ spl79_51 ),
inference(resolution,[],[f2374,f1110]) ).
fof(f3080,plain,
( ~ spl79_87
| ~ spl79_51 ),
inference(avatar_split_clause,[],[f3064,f1861,f3078]) ).
fof(f3078,plain,
( spl79_87
<=> in(powerset(cartesian_product2(sF78,relation_rng(sK3))),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_87])]) ).
fof(f3064,plain,
( ~ in(powerset(cartesian_product2(sF78,relation_rng(sK3))),sK3)
| ~ spl79_51 ),
inference(resolution,[],[f2374,f1552]) ).
fof(f3076,plain,
( ~ spl79_86
| ~ spl79_51 ),
inference(avatar_split_clause,[],[f3063,f1861,f3074]) ).
fof(f3074,plain,
( spl79_86
<=> in(singleton(cartesian_product2(sF78,relation_rng(sK3))),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_86])]) ).
fof(f3063,plain,
( ~ in(singleton(cartesian_product2(sF78,relation_rng(sK3))),sK3)
| ~ spl79_51 ),
inference(resolution,[],[f2374,f1180]) ).
fof(f3027,plain,
( spl79_84
| ~ spl79_85
| spl79_33
| ~ spl79_49 ),
inference(avatar_split_clause,[],[f3015,f1853,f1031,f3025,f3022]) ).
fof(f3022,plain,
( spl79_84
<=> ! [X0] : ~ empty(cartesian_product2(sF76,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_84])]) ).
fof(f3015,plain,
( ! [X0] :
( ~ empty(relation_rng(sF75))
| ~ empty(cartesian_product2(sF76,X0)) )
| spl79_33
| ~ spl79_49 ),
inference(resolution,[],[f3004,f1057]) ).
fof(f2998,plain,
spl79_83,
inference(avatar_split_clause,[],[f2985,f2996]) ).
fof(f2996,plain,
( spl79_83
<=> empty_set = set_meet(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_83])]) ).
fof(f2985,plain,
empty_set = set_meet(empty_set),
inference(gaussian_variable_elimination,[],[f2984]) ).
fof(f2984,plain,
! [X0] :
( set_meet(empty_set) = X0
| empty_set != X0 ),
inference(gaussian_variable_elimination,[],[f548]) ).
fof(f548,plain,
! [X0,X1] :
( empty_set != X1
| set_meet(X1) = X0
| empty_set != X0 ),
inference(cnf_transformation,[],[f478]) ).
fof(f478,plain,
! [X0,X1] :
( ( ( set_meet(X1) = X0
<=> empty_set = X0 )
| empty_set != X1 )
& ( ( ! [X2] :
( ! [X3] :
( in(X2,X3)
| ~ in(X3,X1) )
<=> in(X2,X0) )
<=> set_meet(X1) = X0 )
| empty_set = X1 ) ),
inference(ennf_transformation,[],[f231]) ).
fof(f231,plain,
! [X1,X0] :
( ( empty_set = X1
=> ( set_meet(X1) = X0
<=> empty_set = X0 ) )
& ( empty_set != X1
=> ( set_meet(X1) = X0
<=> ! [X2] :
( ! [X3] :
( in(X3,X1)
=> in(X2,X3) )
<=> in(X2,X0) ) ) ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
( ( empty_set = X0
=> ( empty_set = X1
<=> set_meet(X0) = X1 ) )
& ( empty_set != X0
=> ( ! [X2] :
( in(X2,X1)
<=> ! [X3] :
( in(X3,X0)
=> in(X2,X3) ) )
<=> set_meet(X0) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_setfam_1) ).
fof(f2845,plain,
( spl79_81
| ~ spl79_82
| spl79_30
| ~ spl79_51 ),
inference(avatar_split_clause,[],[f2833,f1861,f1013,f2843,f2840]) ).
fof(f2840,plain,
( spl79_81
<=> ! [X0] : ~ empty(cartesian_product2(sF78,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_81])]) ).
fof(f2833,plain,
( ! [X0] :
( ~ empty(relation_rng(sK3))
| ~ empty(cartesian_product2(sF78,X0)) )
| spl79_30
| ~ spl79_51 ),
inference(resolution,[],[f2827,f1057]) ).
fof(f2756,plain,
( ~ spl79_80
| ~ spl79_29
| spl79_76 ),
inference(avatar_split_clause,[],[f2682,f2670,f1010,f2753]) ).
fof(f2753,plain,
( spl79_80
<=> empty(cartesian_product2(relation_dom(sF78),relation_rng(sF78))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_80])]) ).
fof(f2682,plain,
( ~ relation(sF78)
| ~ empty(cartesian_product2(relation_dom(sF78),relation_rng(sF78)))
| spl79_76 ),
inference(resolution,[],[f2677,f526]) ).
fof(f2751,plain,
( ~ spl79_31
| ~ spl79_79
| spl79_62 ),
inference(avatar_split_clause,[],[f2490,f2275,f2749,f1017]) ).
fof(f2749,plain,
( spl79_79
<=> empty(cartesian_product2(relation_dom(sF74),relation_rng(sF74))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_79])]) ).
fof(f2490,plain,
( ~ empty(cartesian_product2(relation_dom(sF74),relation_rng(sF74)))
| ~ relation(sF74)
| spl79_62 ),
inference(resolution,[],[f2479,f526]) ).
fof(f2711,plain,
( ~ spl79_78
| ~ spl79_9
| ~ spl79_41
| spl79_76 ),
inference(avatar_split_clause,[],[f2699,f2670,f1086,f904,f2709]) ).
fof(f2699,plain,
( ~ in(sF78,singleton(empty_set))
| ~ spl79_9
| ~ spl79_41
| spl79_76 ),
inference(subsumption_resolution,[],[f2698,f905]) ).
fof(f2698,plain,
( ~ in(sF78,singleton(empty_set))
| ~ empty(empty_set)
| ~ spl79_41
| spl79_76 ),
inference(superposition,[],[f2683,f1087]) ).
fof(f2675,plain,
( ~ spl79_76
| spl79_77
| ~ spl79_3
| ~ spl79_27 ),
inference(avatar_split_clause,[],[f2266,f987,f879,f2673,f2670]) ).
fof(f2266,plain,
( ! [X0,X1] :
( disjoint(relation_inverse_image(sK3,X0),X1)
| ~ subset(sF78,empty_set) )
| ~ spl79_3
| ~ spl79_27 ),
inference(resolution,[],[f2251,f2119]) ).
fof(f2251,plain,
( ! [X70,X71] :
( subset(relation_inverse_image(sK3,X71),X70)
| ~ subset(sF78,X70) )
| ~ spl79_3
| ~ spl79_27 ),
inference(resolution,[],[f747,f1437]) ).
fof(f2654,plain,
( ~ spl79_70
| spl79_75
| ~ spl79_26
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f2646,f1594,f983,f2652,f2564]) ).
fof(f2646,plain,
( empty_set = relation_rng(sF75)
| empty_set != sF76
| ~ spl79_26
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f2644,f1595]) ).
fof(f2644,plain,
( empty_set != sF76
| empty_set = relation_rng(sF75)
| ~ relation(sF75)
| ~ spl79_26 ),
inference(superposition,[],[f592,f984]) ).
fof(f592,plain,
! [X0] :
( empty_set != relation_dom(X0)
| ~ relation(X0)
| empty_set = relation_rng(X0) ),
inference(cnf_transformation,[],[f439]) ).
fof(f2628,plain,
( ~ spl79_74
| ~ spl79_9
| ~ spl79_28
| spl79_62 ),
inference(avatar_split_clause,[],[f2622,f2275,f991,f904,f2625]) ).
fof(f2625,plain,
( spl79_74
<=> in(sF74,singleton(empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_74])]) ).
fof(f2622,plain,
( ~ in(sF74,singleton(empty_set))
| ~ spl79_9
| ~ spl79_28
| spl79_62 ),
inference(subsumption_resolution,[],[f2619,f905]) ).
fof(f2619,plain,
( ~ empty(empty_set)
| ~ in(sF74,singleton(empty_set))
| ~ spl79_28
| spl79_62 ),
inference(superposition,[],[f2605,f992]) ).
fof(f2627,plain,
( ~ spl79_74
| ~ spl79_9
| ~ spl79_41
| spl79_62 ),
inference(avatar_split_clause,[],[f2607,f2275,f1086,f904,f2625]) ).
fof(f2607,plain,
( ~ in(sF74,singleton(empty_set))
| ~ spl79_9
| ~ spl79_41
| spl79_62 ),
inference(subsumption_resolution,[],[f2606,f905]) ).
fof(f2606,plain,
( ~ empty(empty_set)
| ~ in(sF74,singleton(empty_set))
| ~ spl79_41
| spl79_62 ),
inference(superposition,[],[f2491,f1087]) ).
fof(f2604,plain,
( ~ spl79_73
| ~ spl79_32
| ~ spl79_20
| spl79_53 ),
inference(avatar_split_clause,[],[f2485,f1878,f951,f1020,f2602]) ).
fof(f2602,plain,
( spl79_73
<=> empty(cartesian_product2(sF74,sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_73])]) ).
fof(f1878,plain,
( spl79_53
<=> empty(cartesian_product2(sF74,relation_rng(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_53])]) ).
fof(f2485,plain,
( ~ empty(sK5)
| ~ empty(cartesian_product2(sF74,sK5))
| ~ spl79_20
| spl79_53 ),
inference(superposition,[],[f1879,f1062]) ).
fof(f1879,plain,
( ~ empty(cartesian_product2(sF74,relation_rng(sK5)))
| spl79_53 ),
inference(avatar_component_clause,[],[f1878]) ).
fof(f2599,plain,
( ~ spl79_71
| spl79_72
| ~ spl79_3
| ~ spl79_27 ),
inference(avatar_split_clause,[],[f2300,f987,f879,f2597,f2594]) ).
fof(f2300,plain,
( empty_set = sK3
| empty_set != sF78
| ~ spl79_3
| ~ spl79_27 ),
inference(subsumption_resolution,[],[f2293,f880]) ).
fof(f2293,plain,
( empty_set != sF78
| empty_set = sK3
| ~ relation(sK3)
| ~ spl79_27 ),
inference(superposition,[],[f827,f988]) ).
fof(f827,plain,
! [X0] :
( empty_set != relation_dom(X0)
| ~ relation(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f424]) ).
fof(f424,plain,
! [X0] :
( ~ relation(X0)
| empty_set = X0
| ( empty_set != relation_dom(X0)
& empty_set != relation_rng(X0) ) ),
inference(flattening,[],[f423]) ).
fof(f423,plain,
! [X0] :
( empty_set = X0
| ( empty_set != relation_dom(X0)
& empty_set != relation_rng(X0) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f195]) ).
fof(f195,axiom,
! [X0] :
( relation(X0)
=> ( ( empty_set = relation_rng(X0)
| empty_set = relation_dom(X0) )
=> empty_set = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_relat_1) ).
fof(f2566,plain,
( spl79_69
| ~ spl79_70
| ~ spl79_26
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f2297,f1594,f983,f2564,f2561]) ).
fof(f2297,plain,
( empty_set != sF76
| empty_set = sF75
| ~ spl79_26
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f2295,f1595]) ).
fof(f2295,plain,
( empty_set = sF75
| empty_set != sF76
| ~ relation(sF75)
| ~ spl79_26 ),
inference(superposition,[],[f827,f984]) ).
fof(f2447,plain,
( ~ spl79_32
| ~ spl79_3
| spl79_33
| ~ spl79_38 ),
inference(avatar_split_clause,[],[f2446,f1073,f1031,f879,f1020]) ).
fof(f2446,plain,
( ~ empty(sK5)
| ~ spl79_3
| spl79_33
| ~ spl79_38 ),
inference(subsumption_resolution,[],[f2445,f1032]) ).
fof(f2427,plain,
( ~ spl79_68
| ~ spl79_7 ),
inference(avatar_split_clause,[],[f2406,f895,f2425]) ).
fof(f2425,plain,
( spl79_68
<=> in(sF78,sF77) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_68])]) ).
fof(f2406,plain,
( ~ in(sF78,sF77)
| ~ spl79_7 ),
inference(resolution,[],[f2403,f498]) ).
fof(f2423,plain,
( spl79_67
| ~ spl79_7 ),
inference(avatar_split_clause,[],[f2405,f895,f2421]) ).
fof(f2405,plain,
( element(sF77,sF78)
| ~ spl79_7 ),
inference(resolution,[],[f2403,f831]) ).
fof(f2419,plain,
( ~ spl79_66
| ~ spl79_6 ),
inference(avatar_split_clause,[],[f2401,f890,f2417]) ).
fof(f2417,plain,
( spl79_66
<=> in(sF74,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_66])]) ).
fof(f2401,plain,
( ~ in(sF74,sK4)
| ~ spl79_6 ),
inference(resolution,[],[f891,f498]) ).
fof(f2415,plain,
( ~ spl79_5
| ~ spl79_6
| ~ spl79_7 ),
inference(avatar_split_clause,[],[f2413,f895,f890,f887]) ).
fof(f2413,plain,
( ~ in(sK4,sF76)
| ~ spl79_6
| ~ spl79_7 ),
inference(subsumption_resolution,[],[f2412,f2403]) ).
fof(f2412,plain,
( ~ in(sK4,sF76)
| ~ in(sF77,sF78)
| ~ spl79_6 ),
inference(subsumption_resolution,[],[f869,f891]) ).
fof(f869,plain,
( ~ in(sK4,sF76)
| ~ in(sF77,sF78)
| ~ in(sK4,sF74) ),
inference(definition_folding,[],[f516,f864,f863,f862,f867,f866]) ).
fof(f866,plain,
sF77 = apply(sK5,sK4),
introduced(function_definition,[]) ).
fof(f867,plain,
sF78 = relation_dom(sK3),
introduced(function_definition,[]) ).
fof(f862,plain,
relation_dom(sK5) = sF74,
introduced(function_definition,[]) ).
fof(f863,plain,
relation_composition(sK5,sK3) = sF75,
introduced(function_definition,[]) ).
fof(f864,plain,
relation_dom(sF75) = sF76,
introduced(function_definition,[]) ).
fof(f516,plain,
( ~ in(apply(sK5,sK4),relation_dom(sK3))
| ~ in(sK4,relation_dom(sK5))
| ~ in(sK4,relation_dom(relation_composition(sK5,sK3))) ),
inference(cnf_transformation,[],[f371]) ).
fof(f371,plain,
? [X0,X1] :
( ? [X2] :
( ( in(X1,relation_dom(relation_composition(X2,X0)))
<~> ( in(X1,relation_dom(X2))
& in(apply(X2,X1),relation_dom(X0)) ) )
& function(X2)
& relation(X2) )
& function(X0)
& relation(X0) ),
inference(flattening,[],[f370]) ).
fof(f370,plain,
? [X0,X1] :
( ? [X2] :
( ( in(X1,relation_dom(relation_composition(X2,X0)))
<~> ( in(X1,relation_dom(X2))
& in(apply(X2,X1),relation_dom(X0)) ) )
& relation(X2)
& function(X2) )
& relation(X0)
& function(X0) ),
inference(ennf_transformation,[],[f225]) ).
fof(f225,plain,
~ ! [X0,X1] :
( ( relation(X0)
& function(X0) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( ( in(X1,relation_dom(X2))
& in(apply(X2,X1),relation_dom(X0)) )
<=> in(X1,relation_dom(relation_composition(X2,X0))) ) ) ),
inference(rectify,[],[f150]) ).
fof(f150,negated_conjecture,
~ ! [X1,X0] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) )
<=> in(X0,relation_dom(relation_composition(X2,X1))) ) ) ),
inference(negated_conjecture,[],[f149]) ).
fof(f149,conjecture,
! [X1,X0] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) )
<=> in(X0,relation_dom(relation_composition(X2,X1))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_funct_1) ).
fof(f2411,plain,
( spl79_65
| ~ spl79_6 ),
inference(avatar_split_clause,[],[f2400,f890,f2409]) ).
fof(f2409,plain,
( spl79_65
<=> element(sK4,sF74) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_65])]) ).
fof(f2400,plain,
( element(sK4,sF74)
| ~ spl79_6 ),
inference(resolution,[],[f891,f831]) ).
fof(f2404,plain,
( spl79_7
| spl79_5 ),
inference(avatar_split_clause,[],[f868,f887,f895]) ).
fof(f868,plain,
( in(sK4,sF76)
| in(sF77,sF78) ),
inference(definition_folding,[],[f517,f864,f863,f867,f866]) ).
fof(f517,plain,
( in(apply(sK5,sK4),relation_dom(sK3))
| in(sK4,relation_dom(relation_composition(sK5,sK3))) ),
inference(cnf_transformation,[],[f371]) ).
fof(f2399,plain,
( ~ spl79_9
| spl79_32
| ~ spl79_63 ),
inference(avatar_contradiction_clause,[],[f2398]) ).
fof(f2398,plain,
( $false
| ~ spl79_9
| spl79_32
| ~ spl79_63 ),
inference(subsumption_resolution,[],[f2387,f905]) ).
fof(f2387,plain,
( ~ empty(empty_set)
| spl79_32
| ~ spl79_63 ),
inference(backward_demodulation,[],[f1021,f2350]) ).
fof(f2350,plain,
( empty_set = sK5
| ~ spl79_63 ),
inference(avatar_component_clause,[],[f2349]) ).
fof(f2349,plain,
( spl79_63
<=> empty_set = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl79_63])]) ).
fof(f1021,plain,
( ~ empty(sK5)
| spl79_32 ),
inference(avatar_component_clause,[],[f1020]) ).
fof(f2354,plain,
( spl79_63
| ~ spl79_64
| ~ spl79_1
| ~ spl79_25 ),
inference(avatar_split_clause,[],[f2296,f979,f871,f2352,f2349]) ).
fof(f2352,plain,
( spl79_64
<=> empty_set = sF74 ),
introduced(avatar_definition,[new_symbols(naming,[spl79_64])]) ).
fof(f2296,plain,
( empty_set != sF74
| empty_set = sK5
| ~ spl79_1
| ~ spl79_25 ),
inference(subsumption_resolution,[],[f2294,f872]) ).
fof(f2294,plain,
( ~ relation(sK5)
| empty_set = sK5
| empty_set != sF74
| ~ spl79_25 ),
inference(superposition,[],[f827,f980]) ).
fof(f2277,plain,
( spl79_61
| ~ spl79_62
| ~ spl79_1
| ~ spl79_25 ),
inference(avatar_split_clause,[],[f2255,f979,f871,f2275,f2272]) ).
fof(f2272,plain,
( spl79_61
<=> ! [X0,X1] : disjoint(relation_inverse_image(sK5,X0),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_61])]) ).
fof(f2255,plain,
( ! [X0,X1] :
( ~ subset(sF74,empty_set)
| disjoint(relation_inverse_image(sK5,X0),X1) )
| ~ spl79_1
| ~ spl79_25 ),
inference(resolution,[],[f2250,f2119]) ).
fof(f2250,plain,
( ! [X68,X69] :
( subset(relation_inverse_image(sK5,X69),X68)
| ~ subset(sF74,X68) )
| ~ spl79_1
| ~ spl79_25 ),
inference(resolution,[],[f747,f1440]) ).
fof(f1440,plain,
( ! [X6] : subset(relation_inverse_image(sK5,X6),sF74)
| ~ spl79_1
| ~ spl79_25 ),
inference(subsumption_resolution,[],[f1434,f872]) ).
fof(f1434,plain,
( ! [X6] :
( subset(relation_inverse_image(sK5,X6),sF74)
| ~ relation(sK5) )
| ~ spl79_25 ),
inference(superposition,[],[f676,f980]) ).
fof(f2110,plain,
( spl79_60
| ~ spl79_3
| ~ spl79_27 ),
inference(avatar_split_clause,[],[f2096,f987,f879,f2108]) ).
fof(f2108,plain,
( spl79_60
<=> relation_rng(sK3) = relation_image(sK3,sF78) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_60])]) ).
fof(f2096,plain,
( relation_rng(sK3) = relation_image(sK3,sF78)
| ~ spl79_3
| ~ spl79_27 ),
inference(subsumption_resolution,[],[f2075,f880]) ).
fof(f2075,plain,
( ~ relation(sK3)
| relation_rng(sK3) = relation_image(sK3,sF78)
| ~ spl79_27 ),
inference(superposition,[],[f708,f988]) ).
fof(f2106,plain,
( spl79_59
| ~ spl79_26
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f2093,f1594,f983,f2104]) ).
fof(f2093,plain,
( relation_image(sF75,sF76) = relation_rng(sF75)
| ~ spl79_26
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f2077,f1595]) ).
fof(f2077,plain,
( relation_image(sF75,sF76) = relation_rng(sF75)
| ~ relation(sF75)
| ~ spl79_26 ),
inference(superposition,[],[f708,f984]) ).
fof(f2102,plain,
( spl79_58
| ~ spl79_1
| ~ spl79_25 ),
inference(avatar_split_clause,[],[f2087,f979,f871,f2100]) ).
fof(f2100,plain,
( spl79_58
<=> relation_image(sK5,sF74) = relation_rng(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_58])]) ).
fof(f2087,plain,
( relation_image(sK5,sF74) = relation_rng(sK5)
| ~ spl79_1
| ~ spl79_25 ),
inference(subsumption_resolution,[],[f2076,f872]) ).
fof(f2076,plain,
( relation_image(sK5,sF74) = relation_rng(sK5)
| ~ relation(sK5)
| ~ spl79_25 ),
inference(superposition,[],[f708,f980]) ).
fof(f1930,plain,
( ~ spl79_57
| ~ spl79_51 ),
inference(avatar_split_clause,[],[f1883,f1861,f1928]) ).
fof(f1928,plain,
( spl79_57
<=> proper_subset(cartesian_product2(sF78,relation_rng(sK3)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_57])]) ).
fof(f1883,plain,
( ~ proper_subset(cartesian_product2(sF78,relation_rng(sK3)),sK3)
| ~ spl79_51 ),
inference(resolution,[],[f1862,f742]) ).
fof(f1926,plain,
( ~ spl79_56
| ~ spl79_50 ),
inference(avatar_split_clause,[],[f1874,f1857,f1924]) ).
fof(f1924,plain,
( spl79_56
<=> proper_subset(cartesian_product2(sF74,relation_rng(sK5)),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_56])]) ).
fof(f1874,plain,
( ~ proper_subset(cartesian_product2(sF74,relation_rng(sK5)),sK5)
| ~ spl79_50 ),
inference(resolution,[],[f1858,f742]) ).
fof(f1908,plain,
( ~ spl79_55
| ~ spl79_49 ),
inference(avatar_split_clause,[],[f1865,f1853,f1906]) ).
fof(f1865,plain,
( ~ proper_subset(cartesian_product2(sF76,relation_rng(sF75)),sF75)
| ~ spl79_49 ),
inference(resolution,[],[f1854,f742]) ).
fof(f1889,plain,
( ~ spl79_54
| spl79_30
| ~ spl79_51 ),
inference(avatar_split_clause,[],[f1885,f1861,f1013,f1887]) ).
fof(f1887,plain,
( spl79_54
<=> empty(cartesian_product2(sF78,relation_rng(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_54])]) ).
fof(f1885,plain,
( ~ empty(cartesian_product2(sF78,relation_rng(sK3)))
| spl79_30
| ~ spl79_51 ),
inference(subsumption_resolution,[],[f1882,f1014]) ).
fof(f1882,plain,
( ~ empty(cartesian_product2(sF78,relation_rng(sK3)))
| empty(sK3)
| ~ spl79_51 ),
inference(resolution,[],[f1862,f1310]) ).
fof(f1880,plain,
( ~ spl79_53
| spl79_32
| ~ spl79_50 ),
inference(avatar_split_clause,[],[f1876,f1857,f1020,f1878]) ).
fof(f1876,plain,
( ~ empty(cartesian_product2(sF74,relation_rng(sK5)))
| spl79_32
| ~ spl79_50 ),
inference(subsumption_resolution,[],[f1873,f1021]) ).
fof(f1873,plain,
( ~ empty(cartesian_product2(sF74,relation_rng(sK5)))
| empty(sK5)
| ~ spl79_50 ),
inference(resolution,[],[f1858,f1310]) ).
fof(f1871,plain,
( ~ spl79_52
| spl79_33
| ~ spl79_49 ),
inference(avatar_split_clause,[],[f1867,f1853,f1031,f1869]) ).
fof(f1867,plain,
( ~ empty(cartesian_product2(sF76,relation_rng(sF75)))
| spl79_33
| ~ spl79_49 ),
inference(subsumption_resolution,[],[f1864,f1032]) ).
fof(f1864,plain,
( empty(sF75)
| ~ empty(cartesian_product2(sF76,relation_rng(sF75)))
| ~ spl79_49 ),
inference(resolution,[],[f1854,f1310]) ).
fof(f1863,plain,
( spl79_51
| ~ spl79_3
| ~ spl79_27 ),
inference(avatar_split_clause,[],[f1827,f987,f879,f1861]) ).
fof(f1827,plain,
( subset(sK3,cartesian_product2(sF78,relation_rng(sK3)))
| ~ spl79_3
| ~ spl79_27 ),
inference(subsumption_resolution,[],[f1815,f880]) ).
fof(f1815,plain,
( subset(sK3,cartesian_product2(sF78,relation_rng(sK3)))
| ~ relation(sK3)
| ~ spl79_27 ),
inference(superposition,[],[f526,f988]) ).
fof(f1859,plain,
( spl79_50
| ~ spl79_1
| ~ spl79_25 ),
inference(avatar_split_clause,[],[f1826,f979,f871,f1857]) ).
fof(f1826,plain,
( subset(sK5,cartesian_product2(sF74,relation_rng(sK5)))
| ~ spl79_1
| ~ spl79_25 ),
inference(subsumption_resolution,[],[f1816,f872]) ).
fof(f1816,plain,
( subset(sK5,cartesian_product2(sF74,relation_rng(sK5)))
| ~ relation(sK5)
| ~ spl79_25 ),
inference(superposition,[],[f526,f980]) ).
fof(f1855,plain,
( spl79_49
| ~ spl79_26
| ~ spl79_48 ),
inference(avatar_split_clause,[],[f1824,f1594,f983,f1853]) ).
fof(f1824,plain,
( subset(sF75,cartesian_product2(sF76,relation_rng(sF75)))
| ~ spl79_26
| ~ spl79_48 ),
inference(subsumption_resolution,[],[f1817,f1595]) ).
fof(f1817,plain,
( subset(sF75,cartesian_product2(sF76,relation_rng(sF75)))
| ~ relation(sF75)
| ~ spl79_26 ),
inference(superposition,[],[f526,f984]) ).
fof(f1596,plain,
( spl79_48
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38 ),
inference(avatar_split_clause,[],[f1592,f1073,f879,f871,f1594]) ).
fof(f1592,plain,
( relation(sF75)
| ~ spl79_1
| ~ spl79_3
| ~ spl79_38 ),
inference(subsumption_resolution,[],[f1591,f872]) ).
fof(f1591,plain,
( ~ relation(sK5)
| relation(sF75)
| ~ spl79_3
| ~ spl79_38 ),
inference(subsumption_resolution,[],[f1590,f880]) ).
fof(f1590,plain,
( ~ relation(sK3)
| relation(sF75)
| ~ relation(sK5)
| ~ spl79_38 ),
inference(superposition,[],[f535,f1074]) ).
fof(f1565,plain,
( spl79_47
| ~ spl79_28 ),
inference(avatar_split_clause,[],[f1466,f991,f1563]) ).
fof(f1563,plain,
( spl79_47
<=> empty_set = sK53(singleton(empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_47])]) ).
fof(f1466,plain,
( empty_set = sK53(singleton(empty_set))
| ~ spl79_28 ),
inference(forward_demodulation,[],[f1463,f992]) ).
fof(f1463,plain,
empty_set = sK53(powerset(empty_set)),
inference(resolution,[],[f1292,f644]) ).
fof(f1292,plain,
! [X7] : subset(sK53(powerset(X7)),X7),
inference(resolution,[],[f801,f746]) ).
fof(f1530,plain,
( spl79_46
| ~ spl79_28 ),
inference(avatar_split_clause,[],[f1465,f991,f1528]) ).
fof(f1528,plain,
( spl79_46
<=> subset(sK53(singleton(empty_set)),empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_46])]) ).
fof(f1465,plain,
( subset(sK53(singleton(empty_set)),empty_set)
| ~ spl79_28 ),
inference(superposition,[],[f1292,f992]) ).
fof(f1303,plain,
spl79_45,
inference(avatar_split_clause,[],[f1297,f1301]) ).
fof(f1301,plain,
( spl79_45
<=> empty_set = sK2(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_45])]) ).
fof(f1297,plain,
empty_set = sK2(empty_set),
inference(resolution,[],[f1290,f644]) ).
fof(f1290,plain,
! [X5] : subset(sK2(X5),X5),
inference(resolution,[],[f801,f511]) ).
fof(f511,plain,
! [X0] : element(sK2(X0),powerset(X0)),
inference(cnf_transformation,[],[f113]) ).
fof(f113,axiom,
! [X0] :
? [X1] :
( empty(X1)
& element(X1,powerset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(f1265,plain,
( ~ spl79_40
| ~ spl79_1
| ~ spl79_25
| spl79_32 ),
inference(avatar_split_clause,[],[f1261,f1020,f979,f871,f1081]) ).
fof(f1261,plain,
( ~ empty(sF74)
| ~ spl79_1
| ~ spl79_25
| spl79_32 ),
inference(subsumption_resolution,[],[f1260,f1021]) ).
fof(f1260,plain,
( ~ empty(sF74)
| empty(sK5)
| ~ spl79_1
| ~ spl79_25 ),
inference(subsumption_resolution,[],[f1254,f872]) ).
fof(f1254,plain,
( ~ relation(sK5)
| ~ empty(sF74)
| empty(sK5)
| ~ spl79_25 ),
inference(superposition,[],[f631,f980]) ).
fof(f1263,plain,
( ~ spl79_37
| ~ spl79_3
| ~ spl79_27
| spl79_30 ),
inference(avatar_split_clause,[],[f1258,f1013,f987,f879,f1067]) ).
fof(f1258,plain,
( ~ empty(sF78)
| ~ spl79_3
| ~ spl79_27
| spl79_30 ),
inference(subsumption_resolution,[],[f1257,f880]) ).
fof(f1257,plain,
( ~ empty(sF78)
| ~ relation(sK3)
| ~ spl79_27
| spl79_30 ),
inference(subsumption_resolution,[],[f1253,f1014]) ).
fof(f1149,plain,
( spl79_44
| ~ spl79_5 ),
inference(avatar_split_clause,[],[f1142,f887,f1147]) ).
fof(f1142,plain,
( element(sK4,sF76)
| ~ spl79_5 ),
inference(resolution,[],[f831,f888]) ).
fof(f1114,plain,
( ~ spl79_43
| ~ spl79_5 ),
inference(avatar_split_clause,[],[f1108,f887,f1112]) ).
fof(f1108,plain,
( ~ in(sF76,sK4)
| ~ spl79_5 ),
inference(resolution,[],[f498,f888]) ).
fof(f1103,plain,
( spl79_42
| ~ spl79_28 ),
inference(avatar_split_clause,[],[f1002,f991,f1101]) ).
fof(f1101,plain,
( spl79_42
<=> element(sK2(empty_set),singleton(empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_42])]) ).
fof(f1002,plain,
( element(sK2(empty_set),singleton(empty_set))
| ~ spl79_28 ),
inference(superposition,[],[f511,f992]) ).
fof(f1088,plain,
( spl79_41
| ~ spl79_28 ),
inference(avatar_split_clause,[],[f994,f991,f1086]) ).
fof(f994,plain,
( empty_set = union(singleton(empty_set))
| ~ spl79_28 ),
inference(superposition,[],[f704,f992]) ).
fof(f1083,plain,
( spl79_40
| ~ spl79_32
| ~ spl79_25 ),
inference(avatar_split_clause,[],[f1028,f979,f1020,f1081]) ).
fof(f1028,plain,
( ~ empty(sK5)
| empty(sF74)
| ~ spl79_25 ),
inference(superposition,[],[f515,f980]) ).
fof(f515,plain,
! [X0] :
( empty(relation_dom(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f342]) ).
fof(f342,plain,
! [X0] :
( ( empty(relation_dom(X0))
& relation(relation_dom(X0)) )
| ~ empty(X0) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,axiom,
! [X0] :
( empty(X0)
=> ( empty(relation_dom(X0))
& relation(relation_dom(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_relat_1) ).
fof(f1079,plain,
spl79_39,
inference(avatar_split_clause,[],[f866,f1077]) ).
fof(f1075,plain,
spl79_38,
inference(avatar_split_clause,[],[f863,f1073]) ).
fof(f1069,plain,
( ~ spl79_30
| spl79_37
| ~ spl79_27 ),
inference(avatar_split_clause,[],[f1027,f987,f1067,f1013]) ).
fof(f1027,plain,
( empty(sF78)
| ~ empty(sK3)
| ~ spl79_27 ),
inference(superposition,[],[f515,f988]) ).
fof(f1053,plain,
( spl79_36
| ~ spl79_28 ),
inference(avatar_split_clause,[],[f1041,f991,f1051]) ).
fof(f1051,plain,
( spl79_36
<=> element(empty_set,singleton(empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_36])]) ).
fof(f1041,plain,
( element(empty_set,singleton(empty_set))
| ~ spl79_28 ),
inference(superposition,[],[f1040,f992]) ).
fof(f1048,plain,
( ~ spl79_35
| ~ spl79_5 ),
inference(avatar_split_clause,[],[f1042,f887,f1046]) ).
fof(f1042,plain,
( ~ empty(sF76)
| ~ spl79_5 ),
inference(resolution,[],[f745,f888]) ).
fof(f1036,plain,
( ~ spl79_33
| spl79_34
| ~ spl79_26 ),
inference(avatar_split_clause,[],[f1008,f983,f1034,f1031]) ).
fof(f1008,plain,
( relation(sF76)
| ~ empty(sF75)
| ~ spl79_26 ),
inference(superposition,[],[f514,f984]) ).
fof(f514,plain,
! [X0] :
( relation(relation_dom(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f342]) ).
fof(f1022,plain,
( spl79_31
| ~ spl79_32
| ~ spl79_25 ),
inference(avatar_split_clause,[],[f1007,f979,f1020,f1017]) ).
fof(f1007,plain,
( ~ empty(sK5)
| relation(sF74)
| ~ spl79_25 ),
inference(superposition,[],[f514,f980]) ).
fof(f1015,plain,
( spl79_29
| ~ spl79_30
| ~ spl79_27 ),
inference(avatar_split_clause,[],[f1006,f987,f1013,f1010]) ).
fof(f1006,plain,
( ~ empty(sK3)
| relation(sF78)
| ~ spl79_27 ),
inference(superposition,[],[f514,f988]) ).
fof(f993,plain,
spl79_28,
inference(avatar_split_clause,[],[f638,f991]) ).
fof(f638,plain,
powerset(empty_set) = singleton(empty_set),
inference(cnf_transformation,[],[f147]) ).
fof(f147,axiom,
powerset(empty_set) = singleton(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_zfmisc_1) ).
fof(f989,plain,
spl79_27,
inference(avatar_split_clause,[],[f867,f987]) ).
fof(f985,plain,
spl79_26,
inference(avatar_split_clause,[],[f864,f983]) ).
fof(f981,plain,
spl79_25,
inference(avatar_split_clause,[],[f862,f979]) ).
fof(f977,plain,
( spl79_24
| ~ spl79_11 ),
inference(avatar_split_clause,[],[f964,f912,f975]) ).
fof(f975,plain,
( spl79_24
<=> relation(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_24])]) ).
fof(f912,plain,
( spl79_11
<=> empty(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_11])]) ).
fof(f964,plain,
( relation(sK31)
| ~ spl79_11 ),
inference(resolution,[],[f709,f913]) ).
fof(f913,plain,
( empty(sK31)
| ~ spl79_11 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f973,plain,
( spl79_23
| ~ spl79_14 ),
inference(avatar_split_clause,[],[f957,f924,f971]) ).
fof(f971,plain,
( spl79_23
<=> function(sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_23])]) ).
fof(f924,plain,
( spl79_14
<=> empty(sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_14])]) ).
fof(f957,plain,
( function(sK43)
| ~ spl79_14 ),
inference(resolution,[],[f613,f925]) ).
fof(f925,plain,
( empty(sK43)
| ~ spl79_14 ),
inference(avatar_component_clause,[],[f924]) ).
fof(f969,plain,
( spl79_22
| ~ spl79_11 ),
inference(avatar_split_clause,[],[f956,f912,f967]) ).
fof(f967,plain,
( spl79_22
<=> function(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_22])]) ).
fof(f956,plain,
( function(sK31)
| ~ spl79_11 ),
inference(resolution,[],[f613,f913]) ).
fof(f961,plain,
( spl79_21
| ~ spl79_9 ),
inference(avatar_split_clause,[],[f954,f904,f959]) ).
fof(f959,plain,
( spl79_21
<=> function(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_21])]) ).
fof(f954,plain,
( function(empty_set)
| ~ spl79_9 ),
inference(resolution,[],[f613,f905]) ).
fof(f953,plain,
spl79_20,
inference(avatar_split_clause,[],[f682,f951]) ).
fof(f682,plain,
empty_set = relation_rng(empty_set),
inference(cnf_transformation,[],[f192]) ).
fof(f192,axiom,
( empty_set = relation_rng(empty_set)
& empty_set = relation_dom(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_relat_1) ).
fof(f949,plain,
spl79_19,
inference(avatar_split_clause,[],[f681,f947]) ).
fof(f681,plain,
empty_set = relation_dom(empty_set),
inference(cnf_transformation,[],[f192]) ).
fof(f945,plain,
spl79_18,
inference(avatar_split_clause,[],[f840,f943]) ).
fof(f943,plain,
( spl79_18
<=> relation(sK67) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_18])]) ).
fof(f840,plain,
relation(sK67),
inference(cnf_transformation,[],[f112]) ).
fof(f112,axiom,
? [X0] :
( relation(X0)
& ~ empty(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_relat_1) ).
fof(f941,plain,
~ spl79_17,
inference(avatar_split_clause,[],[f839,f939]) ).
fof(f939,plain,
( spl79_17
<=> empty(sK67) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_17])]) ).
fof(f839,plain,
~ empty(sK67),
inference(cnf_transformation,[],[f112]) ).
fof(f937,plain,
spl79_10,
inference(avatar_split_clause,[],[f809,f908]) ).
fof(f809,plain,
relation(empty_set),
inference(cnf_transformation,[],[f312]) ).
fof(f312,plain,
( relation(empty_set)
& empty(empty_set) ),
inference(pure_predicate_removal,[],[f72]) ).
fof(f72,axiom,
( relation(empty_set)
& relation_empty_yielding(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc12_relat_1) ).
fof(f936,plain,
spl79_9,
inference(avatar_split_clause,[],[f808,f904]) ).
fof(f808,plain,
empty(empty_set),
inference(cnf_transformation,[],[f312]) ).
fof(f935,plain,
spl79_9,
inference(avatar_split_clause,[],[f805,f904]) ).
fof(f805,plain,
empty(empty_set),
inference(cnf_transformation,[],[f76]) ).
fof(f76,axiom,
empty(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f934,plain,
spl79_16,
inference(avatar_split_clause,[],[f741,f932]) ).
fof(f932,plain,
( spl79_16
<=> relation(sK52) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_16])]) ).
fof(f741,plain,
relation(sK52),
inference(cnf_transformation,[],[f108]) ).
fof(f108,axiom,
? [X0] :
( relation(X0)
& function(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_funct_1) ).
fof(f930,plain,
spl79_15,
inference(avatar_split_clause,[],[f740,f928]) ).
fof(f928,plain,
( spl79_15
<=> function(sK52) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_15])]) ).
fof(f740,plain,
function(sK52),
inference(cnf_transformation,[],[f108]) ).
fof(f926,plain,
spl79_14,
inference(avatar_split_clause,[],[f706,f924]) ).
fof(f706,plain,
empty(sK43),
inference(cnf_transformation,[],[f109]) ).
fof(f109,axiom,
? [X0] :
( empty(X0)
& relation(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_relat_1) ).
fof(f922,plain,
spl79_13,
inference(avatar_split_clause,[],[f705,f920]) ).
fof(f920,plain,
( spl79_13
<=> relation(sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_13])]) ).
fof(f705,plain,
relation(sK43),
inference(cnf_transformation,[],[f109]) ).
fof(f918,plain,
spl79_12,
inference(avatar_split_clause,[],[f699,f916]) ).
fof(f916,plain,
( spl79_12
<=> relation(sK42) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_12])]) ).
fof(f699,plain,
relation(sK42),
inference(cnf_transformation,[],[f313]) ).
fof(f313,plain,
? [X0] : relation(X0),
inference(pure_predicate_removal,[],[f115]) ).
fof(f115,axiom,
? [X0] :
( relation_empty_yielding(X0)
& relation(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_relat_1) ).
fof(f914,plain,
spl79_11,
inference(avatar_split_clause,[],[f647,f912]) ).
fof(f647,plain,
empty(sK31),
inference(cnf_transformation,[],[f111]) ).
fof(f111,axiom,
? [X0] : empty(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f910,plain,
spl79_10,
inference(avatar_split_clause,[],[f580,f908]) ).
fof(f580,plain,
relation(empty_set),
inference(cnf_transformation,[],[f83]) ).
fof(f83,axiom,
( relation(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(f906,plain,
spl79_9,
inference(avatar_split_clause,[],[f579,f904]) ).
fof(f579,plain,
empty(empty_set),
inference(cnf_transformation,[],[f83]) ).
fof(f902,plain,
~ spl79_8,
inference(avatar_split_clause,[],[f488,f900]) ).
fof(f900,plain,
( spl79_8
<=> empty(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl79_8])]) ).
fof(f488,plain,
~ empty(sK1),
inference(cnf_transformation,[],[f114]) ).
fof(f114,axiom,
? [X0] : ~ empty(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f898,plain,
( ~ spl79_7
| ~ spl79_6
| ~ spl79_5 ),
inference(avatar_split_clause,[],[f893,f887,f890,f895]) ).
fof(f893,plain,
( ~ in(sK4,sF74)
| ~ in(sF77,sF78)
| ~ spl79_5 ),
inference(subsumption_resolution,[],[f869,f888]) ).
fof(f892,plain,
( spl79_5
| spl79_6 ),
inference(avatar_split_clause,[],[f865,f890,f887]) ).
fof(f865,plain,
( in(sK4,sF74)
| in(sK4,sF76) ),
inference(definition_folding,[],[f518,f864,f863,f862]) ).
fof(f518,plain,
( in(sK4,relation_dom(sK5))
| in(sK4,relation_dom(relation_composition(sK5,sK3))) ),
inference(cnf_transformation,[],[f371]) ).
fof(f885,plain,
spl79_4,
inference(avatar_split_clause,[],[f522,f883]) ).
fof(f522,plain,
function(sK3),
inference(cnf_transformation,[],[f371]) ).
fof(f881,plain,
spl79_3,
inference(avatar_split_clause,[],[f521,f879]) ).
fof(f521,plain,
relation(sK3),
inference(cnf_transformation,[],[f371]) ).
fof(f877,plain,
spl79_2,
inference(avatar_split_clause,[],[f520,f875]) ).
fof(f520,plain,
function(sK5),
inference(cnf_transformation,[],[f371]) ).
fof(f873,plain,
spl79_1,
inference(avatar_split_clause,[],[f519,f871]) ).
fof(f519,plain,
relation(sK5),
inference(cnf_transformation,[],[f371]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU213+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n002.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 15:01:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.47 % (5232)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)
% 0.19/0.48 % (5223)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)
% 0.19/0.49 % (5215)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)
% 0.19/0.49 % (5223)Instruction limit reached!
% 0.19/0.49 % (5223)------------------------------
% 0.19/0.49 % (5223)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (5223)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (5223)Termination reason: Unknown
% 0.19/0.49 % (5223)Termination phase: Preprocessing 3
% 0.19/0.49
% 0.19/0.49 % (5223)Memory used [KB]: 1918
% 0.19/0.49 % (5223)Time elapsed: 0.009 s
% 0.19/0.49 % (5223)Instructions burned: 8 (million)
% 0.19/0.49 % (5223)------------------------------
% 0.19/0.49 % (5223)------------------------------
% 0.19/0.49 % (5213)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)
% 0.19/0.49 % (5227)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)
% 0.19/0.50 % (5227)Instruction limit reached!
% 0.19/0.50 % (5227)------------------------------
% 0.19/0.50 % (5227)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (5227)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (5227)Termination reason: Unknown
% 0.19/0.50 % (5227)Termination phase: Property scanning
% 0.19/0.50
% 0.19/0.50 % (5227)Memory used [KB]: 2046
% 0.19/0.50 % (5227)Time elapsed: 0.011 s
% 0.19/0.50 % (5227)Instructions burned: 11 (million)
% 0.19/0.50 % (5227)------------------------------
% 0.19/0.50 % (5227)------------------------------
% 0.19/0.50 % (5220)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)
% 0.19/0.51 % (5222)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)
% 0.19/0.51 % (5222)Instruction limit reached!
% 0.19/0.51 % (5222)------------------------------
% 0.19/0.51 % (5222)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (5222)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (5222)Termination reason: Unknown
% 0.19/0.51 % (5222)Termination phase: shuffling
% 0.19/0.51
% 0.19/0.51 % (5222)Memory used [KB]: 1663
% 0.19/0.51 % (5222)Time elapsed: 0.003 s
% 0.19/0.51 % (5222)Instructions burned: 4 (million)
% 0.19/0.51 % (5222)------------------------------
% 0.19/0.51 % (5222)------------------------------
% 0.19/0.51 % (5212)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)
% 0.19/0.51 % (5230)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)
% 0.19/0.52 % (5217)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)
% 0.19/0.52 % (5208)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)
% 0.19/0.52 % (5213)Instruction limit reached!
% 0.19/0.52 % (5213)------------------------------
% 0.19/0.52 % (5213)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (5213)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (5213)Termination reason: Unknown
% 0.19/0.52 % (5213)Termination phase: Property scanning
% 0.19/0.52
% 0.19/0.52 % (5213)Memory used [KB]: 2174
% 0.19/0.52 % (5213)Time elapsed: 0.009 s
% 0.19/0.52 % (5213)Instructions burned: 17 (million)
% 0.19/0.52 % (5213)------------------------------
% 0.19/0.52 % (5213)------------------------------
% 0.19/0.52 % (5231)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)
% 0.19/0.52 % (5233)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)
% 0.19/0.52 % (5210)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)
% 0.19/0.52 % (5219)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)
% 0.19/0.52 % (5207)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52 % (5224)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)
% 1.39/0.53 % (5220)Instruction limit reached!
% 1.39/0.53 % (5220)------------------------------
% 1.39/0.53 % (5220)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.53 % (5237)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)
% 1.39/0.53 % (5220)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.53 % (5220)Termination reason: Unknown
% 1.39/0.53 % (5220)Termination phase: Property scanning
% 1.39/0.53
% 1.39/0.53 % (5220)Memory used [KB]: 2174
% 1.39/0.53 % (5220)Time elapsed: 0.009 s
% 1.39/0.53 % (5220)Instructions burned: 16 (million)
% 1.39/0.53 % (5220)------------------------------
% 1.39/0.53 % (5220)------------------------------
% 1.39/0.53 % (5236)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)
% 1.39/0.53 % (5219)Instruction limit reached!
% 1.39/0.53 % (5219)------------------------------
% 1.39/0.53 % (5219)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.53 % (5219)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.53 % (5219)Termination reason: Unknown
% 1.39/0.53 % (5219)Termination phase: Preprocessing 3
% 1.39/0.53
% 1.39/0.53 % (5219)Memory used [KB]: 2046
% 1.39/0.53 % (5219)Time elapsed: 0.006 s
% 1.39/0.53 % (5219)Instructions burned: 9 (million)
% 1.39/0.53 % (5219)------------------------------
% 1.39/0.53 % (5219)------------------------------
% 1.39/0.53 % (5214)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)
% 1.39/0.53 % (5216)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)
% 1.39/0.53 % (5221)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)
% 1.39/0.54 % (5215)Instruction limit reached!
% 1.39/0.54 % (5215)------------------------------
% 1.39/0.54 % (5215)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.54 % (5212)Instruction limit reached!
% 1.39/0.54 % (5212)------------------------------
% 1.39/0.54 % (5212)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.54 % (5218)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)
% 1.39/0.54 % (5235)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)
% 1.39/0.54 % (5234)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)
% 1.39/0.54 % (5238)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)
% 1.39/0.54 % (5228)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)
% 1.56/0.54 % (5209)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)
% 1.56/0.54 % (5212)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.54 % (5212)Termination reason: Unknown
% 1.56/0.54 % (5212)Termination phase: Function definition elimination
% 1.56/0.54
% 1.56/0.54 % (5212)Memory used [KB]: 2174
% 1.56/0.54 % (5212)Time elapsed: 0.008 s
% 1.56/0.54 % (5212)Instructions burned: 13 (million)
% 1.56/0.54 % (5212)------------------------------
% 1.56/0.54 % (5212)------------------------------
% 1.56/0.55 % (5232)Instruction limit reached!
% 1.56/0.55 % (5232)------------------------------
% 1.56/0.55 % (5232)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.55 % (5209)Instruction limit reached!
% 1.56/0.55 % (5209)------------------------------
% 1.56/0.55 % (5209)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.55 % (5208)Instruction limit reached!
% 1.56/0.55 % (5208)------------------------------
% 1.56/0.55 % (5208)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.55 % (5237)Instruction limit reached!
% 1.56/0.55 % (5237)------------------------------
% 1.56/0.55 % (5237)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.55 % (5237)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.55 % (5237)Termination reason: Unknown
% 1.56/0.55 % (5237)Termination phase: Preprocessing 3
% 1.56/0.55
% 1.56/0.55 % (5237)Memory used [KB]: 2046
% 1.56/0.55 % (5237)Time elapsed: 0.006 s
% 1.56/0.55 % (5237)Instructions burned: 8 (million)
% 1.56/0.55 % (5237)------------------------------
% 1.56/0.55 % (5237)------------------------------
% 1.56/0.55 % (5208)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.55 % (5208)Termination reason: Unknown
% 1.56/0.55 % (5208)Termination phase: Function definition elimination
% 1.56/0.55
% 1.56/0.55 % (5208)Memory used [KB]: 2174
% 1.56/0.55 % (5208)Time elapsed: 0.008 s
% 1.56/0.55 % (5208)Instructions burned: 14 (million)
% 1.56/0.55 % (5208)------------------------------
% 1.56/0.55 % (5208)------------------------------
% 1.56/0.55 % (5226)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)
% 1.56/0.55 % (5215)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.55 % (5215)Termination reason: Unknown
% 1.56/0.55 % (5215)Termination phase: Saturation
% 1.56/0.55
% 1.56/0.55 % (5215)Memory used [KB]: 7164
% 1.56/0.55 % (5215)Time elapsed: 0.129 s
% 1.56/0.55 % (5215)Instructions burned: 39 (million)
% 1.56/0.55 % (5215)------------------------------
% 1.56/0.55 % (5215)------------------------------
% 1.56/0.56 % (5218)Instruction limit reached!
% 1.56/0.56 % (5218)------------------------------
% 1.56/0.56 % (5218)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56 % (5209)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56 % (5209)Termination reason: Unknown
% 1.56/0.56 % (5209)Termination phase: Preprocessing 2
% 1.56/0.56
% 1.56/0.56 % (5209)Memory used [KB]: 1663
% 1.56/0.56 % (5209)Time elapsed: 0.003 s
% 1.56/0.56 % (5209)Instructions burned: 4 (million)
% 1.56/0.56 % (5209)------------------------------
% 1.56/0.56 % (5209)------------------------------
% 1.56/0.56 % (5226)Instruction limit reached!
% 1.56/0.56 % (5226)------------------------------
% 1.56/0.56 % (5226)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56 % (5226)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56 % (5226)Termination reason: Unknown
% 1.56/0.56 % (5226)Termination phase: Preprocessing 1
% 1.56/0.56
% 1.56/0.56 % (5226)Memory used [KB]: 1535
% 1.56/0.56 % (5226)Time elapsed: 0.004 s
% 1.56/0.56 % (5226)Instructions burned: 3 (million)
% 1.56/0.56 % (5226)------------------------------
% 1.56/0.56 % (5226)------------------------------
% 1.56/0.56 % (5225)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.56/0.56 % (5218)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56 % (5218)Termination reason: Unknown
% 1.56/0.56 % (5218)Termination phase: Function definition elimination
% 1.56/0.56
% 1.56/0.56 % (5218)Memory used [KB]: 2174
% 1.56/0.56 % (5218)Time elapsed: 0.008 s
% 1.56/0.56 % (5218)Instructions burned: 14 (million)
% 1.56/0.56 % (5218)------------------------------
% 1.56/0.56 % (5218)------------------------------
% 1.56/0.56 % (5232)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56 % (5232)Termination reason: Unknown
% 1.56/0.56 % (5232)Termination phase: Saturation
% 1.56/0.56
% 1.56/0.56 % (5232)Memory used [KB]: 2686
% 1.56/0.56 % (5232)Time elapsed: 0.147 s
% 1.56/0.56 % (5232)Instructions burned: 47 (million)
% 1.56/0.56 % (5232)------------------------------
% 1.56/0.56 % (5232)------------------------------
% 1.56/0.56 % (5225)Instruction limit reached!
% 1.56/0.56 % (5225)------------------------------
% 1.56/0.56 % (5225)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56 % (5225)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56 % (5225)Termination reason: Unknown
% 1.56/0.56 % (5225)Termination phase: Naming
% 1.56/0.56
% 1.56/0.56 % (5225)Memory used [KB]: 1663
% 1.56/0.56 % (5225)Time elapsed: 0.005 s
% 1.56/0.56 % (5225)Instructions burned: 4 (million)
% 1.56/0.56 % (5225)------------------------------
% 1.56/0.56 % (5225)------------------------------
% 1.56/0.57 % (5217)Instruction limit reached!
% 1.56/0.57 % (5217)------------------------------
% 1.56/0.57 % (5217)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.58 % (5236)Instruction limit reached!
% 1.56/0.58 % (5236)------------------------------
% 1.56/0.58 % (5236)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.58 % (5236)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.58 % (5236)Termination reason: Unknown
% 1.56/0.58 % (5236)Termination phase: Saturation
% 1.56/0.58
% 1.56/0.58 % (5236)Memory used [KB]: 6780
% 1.56/0.58 % (5236)Time elapsed: 0.185 s
% 1.56/0.58 % (5236)Instructions burned: 26 (million)
% 1.56/0.58 % (5236)------------------------------
% 1.56/0.58 % (5236)------------------------------
% 1.56/0.58 % (5217)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.58 % (5217)Termination reason: Unknown
% 1.56/0.58 % (5217)Termination phase: Saturation
% 1.56/0.58
% 1.56/0.58 % (5217)Memory used [KB]: 7036
% 1.56/0.58 % (5217)Time elapsed: 0.018 s
% 1.56/0.58 % (5217)Instructions burned: 33 (million)
% 1.56/0.58 % (5217)------------------------------
% 1.56/0.58 % (5217)------------------------------
% 1.56/0.58 % (5228)Instruction limit reached!
% 1.56/0.58 % (5228)------------------------------
% 1.56/0.58 % (5228)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.58 % (5224)Instruction limit reached!
% 1.56/0.58 % (5224)------------------------------
% 1.56/0.58 % (5224)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.59 % (5238)Instruction limit reached!
% 1.56/0.59 % (5238)------------------------------
% 1.56/0.59 % (5238)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.59 % (5238)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.59 % (5238)Termination reason: Unknown
% 1.56/0.59 % (5238)Termination phase: Saturation
% 1.56/0.59
% 1.56/0.59 % (5238)Memory used [KB]: 6780
% 1.56/0.59 % (5238)Time elapsed: 0.013 s
% 1.56/0.59 % (5238)Instructions burned: 25 (million)
% 1.56/0.59 % (5238)------------------------------
% 1.56/0.59 % (5238)------------------------------
% 1.56/0.59 % (5233)Instruction limit reached!
% 1.56/0.59 % (5233)------------------------------
% 1.56/0.59 % (5233)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.59 % (5233)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.59 % (5233)Termination reason: Unknown
% 1.56/0.59 % (5233)Termination phase: Saturation
% 1.56/0.59
% 1.56/0.59 % (5233)Memory used [KB]: 7036
% 1.56/0.59 % (5233)Time elapsed: 0.168 s
% 1.56/0.59 % (5233)Instructions burned: 50 (million)
% 1.56/0.59 % (5233)------------------------------
% 1.56/0.59 % (5233)------------------------------
% 1.56/0.59 % (5224)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.59 % (5224)Termination reason: Unknown
% 1.56/0.59 % (5224)Termination phase: Saturation
% 1.56/0.59
% 1.56/0.59 % (5224)Memory used [KB]: 7291
% 1.56/0.59 % (5224)Time elapsed: 0.188 s
% 1.56/0.59 % (5224)Instructions burned: 51 (million)
% 1.56/0.59 % (5224)------------------------------
% 1.56/0.59 % (5224)------------------------------
% 1.56/0.59 % (5228)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.59 % (5228)Termination reason: Unknown
% 1.56/0.59 % (5228)Termination phase: Saturation
% 1.56/0.59
% 1.56/0.59 % (5228)Memory used [KB]: 6780
% 1.56/0.59 % (5228)Time elapsed: 0.190 s
% 1.56/0.59 % (5228)Instructions burned: 31 (million)
% 1.56/0.59 % (5228)------------------------------
% 1.56/0.59 % (5228)------------------------------
% 1.56/0.59 % (5214)Instruction limit reached!
% 1.56/0.59 % (5214)------------------------------
% 1.56/0.59 % (5214)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.61 % (5216)Instruction limit reached!
% 1.56/0.61 % (5216)------------------------------
% 1.56/0.61 % (5216)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.61 % (5216)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.61 % (5216)Termination reason: Unknown
% 1.56/0.61 % (5216)Termination phase: Saturation
% 1.56/0.61
% 1.56/0.61 % (5216)Memory used [KB]: 7164
% 1.56/0.61 % (5216)Time elapsed: 0.204 s
% 1.56/0.61 % (5216)Instructions burned: 49 (million)
% 1.56/0.61 % (5216)------------------------------
% 1.56/0.61 % (5216)------------------------------
% 1.56/0.61 % (5221)Instruction limit reached!
% 1.56/0.61 % (5221)------------------------------
% 1.56/0.61 % (5221)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.61 % (5214)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.61 % (5214)Termination reason: Unknown
% 1.56/0.61 % (5214)Termination phase: Saturation
% 1.56/0.61
% 1.56/0.61 % (5214)Memory used [KB]: 6908
% 1.56/0.61 % (5214)Time elapsed: 0.194 s
% 1.56/0.61 % (5214)Instructions burned: 40 (million)
% 1.56/0.61 % (5214)------------------------------
% 1.56/0.61 % (5214)------------------------------
% 1.56/0.61 % (5221)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.61 % (5221)Termination reason: Unknown
% 1.56/0.61 % (5221)Termination phase: Saturation
% 1.56/0.61
% 1.56/0.61 % (5221)Memory used [KB]: 7164
% 1.56/0.61 % (5221)Time elapsed: 0.198 s
% 1.56/0.61 % (5221)Instructions burned: 52 (million)
% 1.56/0.61 % (5221)------------------------------
% 1.56/0.61 % (5221)------------------------------
% 1.56/0.61 % (5210)Instruction limit reached!
% 1.56/0.61 % (5210)------------------------------
% 1.56/0.61 % (5210)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.61 % (5210)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.61 % (5210)Termination reason: Unknown
% 1.56/0.61 % (5210)Termination phase: Saturation
% 1.56/0.61
% 1.56/0.61 % (5210)Memory used [KB]: 7675
% 1.56/0.61 % (5210)Time elapsed: 0.197 s
% 1.56/0.61 % (5210)Instructions burned: 51 (million)
% 1.56/0.61 % (5210)------------------------------
% 1.56/0.61 % (5210)------------------------------
% 2.00/0.63 % (5309)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 (2998ds/92Mi)
% 2.00/0.63 % (5319)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 (2998ds/7Mi)
% 2.00/0.63 % (5319)Instruction limit reached!
% 2.00/0.63 % (5319)------------------------------
% 2.00/0.63 % (5319)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.63 % (5319)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.63 % (5319)Termination reason: Unknown
% 2.00/0.63 % (5319)Termination phase: Preprocessing 3
% 2.00/0.63
% 2.00/0.63 % (5319)Memory used [KB]: 1918
% 2.00/0.63 % (5319)Time elapsed: 0.004 s
% 2.00/0.63 % (5319)Instructions burned: 7 (million)
% 2.00/0.63 % (5319)------------------------------
% 2.00/0.63 % (5319)------------------------------
% 2.00/0.63 % (5325)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 (2998ds/87Mi)
% 2.00/0.64 % (5339)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 (2998ds/107Mi)
% 2.00/0.65 % (5333)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 2.00/0.66 % (5231)Instruction limit reached!
% 2.00/0.66 % (5231)------------------------------
% 2.00/0.66 % (5231)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.66 % (5359)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.00/0.67 % (5340)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
% 2.00/0.67 % (5358)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/31Mi)
% 2.00/0.67 % (5356)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 (2998ds/141Mi)
% 2.00/0.67 % (5379)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/15Mi)
% 2.00/0.67 % (5231)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.67 % (5231)Termination reason: Unknown
% 2.00/0.67 % (5231)Termination phase: Saturation
% 2.00/0.67
% 2.00/0.67 % (5231)Memory used [KB]: 7803
% 2.00/0.67 % (5231)Time elapsed: 0.274 s
% 2.00/0.67 % (5231)Instructions burned: 82 (million)
% 2.00/0.67 % (5231)------------------------------
% 2.00/0.67 % (5231)------------------------------
% 2.00/0.67 % (5363)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 (2997ds/93Mi)
% 2.00/0.67 % (5380)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 (2997ds/32Mi)
% 2.00/0.68 % (5361)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 (2997ds/84Mi)
% 2.13/0.68 % (5365)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 (2997ds/109Mi)
% 2.13/0.68 % (5357)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/42Mi)
% 2.13/0.68 % (5387)ott+10_1:1_ep=R:sd=1:sos=all:ss=axioms:i=66:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/66Mi)
% 2.13/0.69 % (5386)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 2.13/0.69 % (5379)Instruction limit reached!
% 2.13/0.69 % (5379)------------------------------
% 2.13/0.69 % (5379)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.69 % (5379)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.69 % (5379)Termination reason: Unknown
% 2.13/0.69 % (5379)Termination phase: Saturation
% 2.13/0.69
% 2.13/0.69 % (5379)Memory used [KB]: 2174
% 2.13/0.69 % (5379)Time elapsed: 0.009 s
% 2.13/0.69 % (5379)Instructions burned: 15 (million)
% 2.13/0.69 % (5379)------------------------------
% 2.13/0.69 % (5379)------------------------------
% 2.13/0.70 % (5366)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 2.13/0.70 % (5230)Instruction limit reached!
% 2.13/0.70 % (5230)------------------------------
% 2.13/0.70 % (5230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.70 % (5230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.70 % (5230)Termination reason: Unknown
% 2.13/0.70 % (5230)Termination phase: Saturation
% 2.13/0.70
% 2.13/0.70 % (5230)Memory used [KB]: 8187
% 2.13/0.70 % (5230)Time elapsed: 0.304 s
% 2.13/0.70 % (5230)Instructions burned: 100 (million)
% 2.13/0.70 % (5230)------------------------------
% 2.13/0.70 % (5230)------------------------------
% 2.13/0.71 % (5388)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 (2997ds/19Mi)
% 2.13/0.72 % (5358)Instruction limit reached!
% 2.13/0.72 % (5358)------------------------------
% 2.13/0.72 % (5358)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.72 % (5358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.72 % (5358)Termination reason: Unknown
% 2.13/0.72 % (5358)Termination phase: Saturation
% 2.13/0.72
% 2.13/0.72 % (5358)Memory used [KB]: 6908
% 2.13/0.72 % (5358)Time elapsed: 0.131 s
% 2.13/0.72 % (5358)Instructions burned: 32 (million)
% 2.13/0.72 % (5358)------------------------------
% 2.13/0.72 % (5358)------------------------------
% 2.13/0.72 % (5389)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 (2997ds/341Mi)
% 2.13/0.72 % (5234)Instruction limit reached!
% 2.13/0.72 % (5234)------------------------------
% 2.13/0.72 % (5234)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.72 % (5234)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.72 % (5234)Termination reason: Unknown
% 2.13/0.72 % (5234)Termination phase: Saturation
% 2.13/0.72
% 2.13/0.72 % (5234)Memory used [KB]: 7803
% 2.13/0.72 % (5234)Time elapsed: 0.324 s
% 2.13/0.72 % (5234)Instructions burned: 95 (million)
% 2.13/0.72 % (5234)------------------------------
% 2.13/0.72 % (5234)------------------------------
% 2.13/0.72 % (5362)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 (2997ds/131Mi)
% 2.13/0.73 % (5235)Instruction limit reached!
% 2.13/0.73 % (5235)------------------------------
% 2.13/0.73 % (5235)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.73 % (5235)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.73 % (5235)Termination reason: Unknown
% 2.13/0.73 % (5235)Termination phase: Saturation
% 2.13/0.73
% 2.13/0.73 % (5235)Memory used [KB]: 8059
% 2.13/0.73 % (5235)Time elapsed: 0.335 s
% 2.13/0.73 % (5235)Instructions burned: 100 (million)
% 2.13/0.73 % (5235)------------------------------
% 2.13/0.73 % (5235)------------------------------
% 2.13/0.73 % (5399)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 (2997ds/10Mi)
% 2.13/0.74 % (5380)Instruction limit reached!
% 2.13/0.74 % (5380)------------------------------
% 2.13/0.74 % (5380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.74 % (5380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.74 % (5380)Termination reason: Unknown
% 2.13/0.74 % (5380)Termination phase: Saturation
% 2.13/0.74
% 2.13/0.74 % (5380)Memory used [KB]: 6908
% 2.13/0.74 % (5380)Time elapsed: 0.130 s
% 2.13/0.74 % (5380)Instructions burned: 32 (million)
% 2.13/0.74 % (5380)------------------------------
% 2.13/0.74 % (5380)------------------------------
% 2.13/0.74 % (5401)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 (2997ds/472Mi)
% 2.13/0.74 % (5388)Instruction limit reached!
% 2.13/0.74 % (5388)------------------------------
% 2.13/0.74 % (5388)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.74 % (5388)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.74 % (5388)Termination reason: Unknown
% 2.13/0.74 % (5388)Termination phase: Saturation
% 2.13/0.74
% 2.13/0.74 % (5388)Memory used [KB]: 2302
% 2.13/0.74 % (5388)Time elapsed: 0.009 s
% 2.13/0.74 % (5388)Instructions burned: 19 (million)
% 2.13/0.74 % (5388)------------------------------
% 2.13/0.74 % (5388)------------------------------
% 2.13/0.74 % (5398)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 (2997ds/237Mi)
% 2.13/0.74 % (5399)Instruction limit reached!
% 2.13/0.74 % (5399)------------------------------
% 2.13/0.74 % (5399)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.76 % (5357)Instruction limit reached!
% 2.39/0.76 % (5357)------------------------------
% 2.39/0.76 % (5357)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.76 % (5357)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.76 % (5357)Termination reason: Unknown
% 2.39/0.76 % (5357)Termination phase: Saturation
% 2.39/0.76
% 2.39/0.76 % (5357)Memory used [KB]: 7036
% 2.39/0.76 % (5357)Time elapsed: 0.183 s
% 2.39/0.76 % (5357)Instructions burned: 42 (million)
% 2.39/0.76 % (5357)------------------------------
% 2.39/0.76 % (5357)------------------------------
% 2.39/0.76 % (5399)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.76 % (5399)Termination reason: Unknown
% 2.39/0.76 % (5399)Termination phase: Property scanning
% 2.39/0.76
% 2.39/0.76 % (5399)Memory used [KB]: 2046
% 2.39/0.76 % (5399)Time elapsed: 0.008 s
% 2.39/0.76 % (5399)Instructions burned: 11 (million)
% 2.39/0.76 % (5399)------------------------------
% 2.39/0.76 % (5399)------------------------------
% 2.39/0.76 % (5402)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/21Mi)
% 2.39/0.76 % (5359)Instruction limit reached!
% 2.39/0.76 % (5359)------------------------------
% 2.39/0.76 % (5359)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.76 % (5359)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.76 % (5359)Termination reason: Unknown
% 2.39/0.76 % (5359)Termination phase: Saturation
% 2.39/0.76
% 2.39/0.76 % (5359)Memory used [KB]: 7419
% 2.39/0.76 % (5359)Time elapsed: 0.185 s
% 2.39/0.76 % (5359)Instructions burned: 69 (million)
% 2.39/0.76 % (5359)------------------------------
% 2.39/0.76 % (5359)------------------------------
% 2.39/0.76 % (5340)Instruction limit reached!
% 2.39/0.76 % (5340)------------------------------
% 2.39/0.76 % (5340)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.76 % (5340)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.76 % (5340)Termination reason: Unknown
% 2.39/0.76 % (5340)Termination phase: Saturation
% 2.39/0.76
% 2.39/0.76 % (5340)Memory used [KB]: 7036
% 2.39/0.76 % (5340)Time elapsed: 0.205 s
% 2.39/0.76 % (5340)Instructions burned: 56 (million)
% 2.39/0.76 % (5340)------------------------------
% 2.39/0.76 % (5340)------------------------------
% 2.39/0.77 % (5410)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 (2997ds/97Mi)
% 2.62/0.79 % (5333)Instruction limit reached!
% 2.62/0.79 % (5333)------------------------------
% 2.62/0.79 % (5333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.62/0.79 % (5333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.79 % (5333)Termination reason: Unknown
% 2.62/0.79 % (5333)Termination phase: Saturation
% 2.62/0.79
% 2.62/0.79 % (5333)Memory used [KB]: 3070
% 2.62/0.79 % (5333)Time elapsed: 0.243 s
% 2.62/0.79 % (5333)Instructions burned: 70 (million)
% 2.62/0.79 % (5333)------------------------------
% 2.62/0.79 % (5333)------------------------------
% 2.62/0.79 % (5402)Instruction limit reached!
% 2.62/0.79 % (5402)------------------------------
% 2.62/0.79 % (5402)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.62/0.79 % (5402)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.79 % (5402)Termination reason: Unknown
% 2.62/0.79 % (5402)Termination phase: Saturation
% 2.62/0.79
% 2.62/0.79 % (5402)Memory used [KB]: 6780
% 2.62/0.79 % (5402)Time elapsed: 0.012 s
% 2.62/0.79 % (5402)Instructions burned: 22 (million)
% 2.62/0.79 % (5402)------------------------------
% 2.62/0.79 % (5402)------------------------------
% 2.62/0.79 % (5423)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 (2996ds/138Mi)
% 2.62/0.79 % (5387)Instruction limit reached!
% 2.62/0.79 % (5387)------------------------------
% 2.62/0.79 % (5387)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.62/0.79 % (5387)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.79 % (5387)Termination reason: Unknown
% 2.62/0.79 % (5387)Termination phase: Saturation
% 2.62/0.79
% 2.62/0.79 % (5387)Memory used [KB]: 7803
% 2.62/0.79 % (5387)Time elapsed: 0.180 s
% 2.62/0.79 % (5387)Instructions burned: 67 (million)
% 2.62/0.79 % (5387)------------------------------
% 2.62/0.79 % (5387)------------------------------
% 2.62/0.80 % (5325)Instruction limit reached!
% 2.62/0.80 % (5325)------------------------------
% 2.62/0.80 % (5325)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.62/0.80 % (5325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.80 % (5325)Termination reason: Unknown
% 2.62/0.80 % (5325)Termination phase: Saturation
% 2.62/0.80
% 2.62/0.80 % (5325)Memory used [KB]: 7547
% 2.62/0.80 % (5325)Time elapsed: 0.244 s
% 2.62/0.80 % (5325)Instructions burned: 87 (million)
% 2.62/0.80 % (5325)------------------------------
% 2.62/0.80 % (5325)------------------------------
% 2.62/0.81 % (5309)Instruction limit reached!
% 2.62/0.81 % (5309)------------------------------
% 2.62/0.81 % (5309)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.62/0.81 % (5309)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.81 % (5309)Termination reason: Unknown
% 2.62/0.81 % (5309)Termination phase: Saturation
% 2.62/0.81
% 2.62/0.81 % (5309)Memory used [KB]: 7547
% 2.62/0.81 % (5309)Time elapsed: 0.284 s
% 2.62/0.81 % (5309)Instructions burned: 93 (million)
% 2.62/0.81 % (5309)------------------------------
% 2.62/0.81 % (5309)------------------------------
% 2.62/0.81 % (5415)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 (2996ds/21Mi)
% 2.84/0.83 % (5361)Instruction limit reached!
% 2.84/0.83 % (5361)------------------------------
% 2.84/0.83 % (5361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.83 % (5361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.83 % (5361)Termination reason: Unknown
% 2.84/0.83 % (5361)Termination phase: Saturation
% 2.84/0.83
% 2.84/0.83 % (5361)Memory used [KB]: 7547
% 2.84/0.83 % (5361)Time elapsed: 0.245 s
% 2.84/0.83 % (5361)Instructions burned: 85 (million)
% 2.84/0.83 % (5361)------------------------------
% 2.84/0.83 % (5361)------------------------------
% 2.84/0.83 % (5427)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 (2996ds/393Mi)
% 2.84/0.84 % (5415)Instruction limit reached!
% 2.84/0.84 % (5415)------------------------------
% 2.84/0.84 % (5415)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.84 % (5415)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.84 % (5415)Termination reason: Unknown
% 2.84/0.84 % (5415)Termination phase: Saturation
% 2.84/0.84
% 2.84/0.84 % (5415)Memory used [KB]: 2302
% 2.84/0.84 % (5415)Time elapsed: 0.010 s
% 2.84/0.84 % (5415)Instructions burned: 21 (million)
% 2.84/0.84 % (5415)------------------------------
% 2.84/0.84 % (5415)------------------------------
% 2.84/0.84 % (5365)Instruction limit reached!
% 2.84/0.84 % (5365)------------------------------
% 2.84/0.84 % (5365)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.84 % (5365)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.84 % (5365)Termination reason: Unknown
% 2.84/0.84 % (5365)Termination phase: Saturation
% 2.84/0.84
% 2.84/0.84 % (5365)Memory used [KB]: 8571
% 2.84/0.84 % (5365)Time elapsed: 0.246 s
% 2.84/0.84 % (5365)Instructions burned: 110 (million)
% 2.84/0.84 % (5365)------------------------------
% 2.84/0.84 % (5365)------------------------------
% 2.98/0.84 % (5432)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 (2996ds/488Mi)
% 2.98/0.84 % (5363)Instruction limit reached!
% 2.98/0.84 % (5363)------------------------------
% 2.98/0.84 % (5363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.98/0.85 % (5366)Instruction limit reached!
% 2.98/0.85 % (5366)------------------------------
% 2.98/0.85 % (5366)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.98/0.85 % (5450)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 (2995ds/86Mi)
% 2.98/0.85 % (5434)dis+1004_1:1_br=off:fsd=on:urr=ec_only:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/93Mi)
% 2.98/0.85 % (5339)Instruction limit reached!
% 2.98/0.85 % (5339)------------------------------
% 2.98/0.85 % (5339)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.98/0.85 % (5363)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.98/0.85 % (5363)Termination reason: Unknown
% 2.98/0.85 % (5363)Termination phase: Saturation
% 2.98/0.85
% 2.98/0.85 % (5363)Memory used [KB]: 8059
% 2.98/0.85 % (5363)Time elapsed: 0.263 s
% 2.98/0.85 % (5363)Instructions burned: 95 (million)
% 2.98/0.85 % (5363)------------------------------
% 2.98/0.85 % (5363)------------------------------
% 2.98/0.86 % (5442)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 (2996ds/221Mi)
% 2.98/0.86 % (5366)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.98/0.86 % (5366)Termination reason: Unknown
% 2.98/0.86 % (5366)Termination phase: Saturation
% 2.98/0.86
% 2.98/0.86 % (5366)Memory used [KB]: 7675
% 2.98/0.86 % (5366)Time elapsed: 0.260 s
% 2.98/0.86 % (5366)Instructions burned: 86 (million)
% 2.98/0.86 % (5366)------------------------------
% 2.98/0.86 % (5366)------------------------------
% 2.98/0.86 % (5339)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.98/0.86 % (5339)Termination reason: Unknown
% 2.98/0.86 % (5339)Termination phase: Saturation
% 2.98/0.86
% 2.98/0.86 % (5339)Memory used [KB]: 3326
% 2.98/0.86 % (5339)Time elapsed: 0.279 s
% 2.98/0.86 % (5339)Instructions burned: 108 (million)
% 2.98/0.86 % (5339)------------------------------
% 2.98/0.86 % (5339)------------------------------
% 2.98/0.87 % (5439)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 (2996ds/23Mi)
% 2.98/0.87 % (5443)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 (2996ds/222Mi)
% 2.98/0.88 % (5451)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 (2995ds/79Mi)
% 2.98/0.88 % (5473)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 (2995ds/113Mi)
% 2.98/0.89 % (5455)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 (2995ds/377Mi)
% 2.98/0.89 % (5468)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 (2995ds/34Mi)
% 2.98/0.90 % (5386)Instruction limit reached!
% 2.98/0.90 % (5386)------------------------------
% 2.98/0.90 % (5386)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.98/0.90 % (5439)Instruction limit reached!
% 2.98/0.90 % (5439)------------------------------
% 2.98/0.90 % (5439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.98/0.90 % (5439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.98/0.90 % (5439)Termination reason: Unknown
% 2.98/0.90 % (5439)Termination phase: Saturation
% 2.98/0.90
% 2.98/0.90 % (5439)Memory used [KB]: 2302
% 2.98/0.90 % (5439)Time elapsed: 0.010 s
% 2.98/0.90 % (5439)Instructions burned: 23 (million)
% 2.98/0.90 % (5439)------------------------------
% 2.98/0.90 % (5439)------------------------------
% 2.98/0.90 % (5456)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 (2995ds/118Mi)
% 2.98/0.90 % (5356)Instruction limit reached!
% 2.98/0.90 % (5356)------------------------------
% 2.98/0.90 % (5356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.98/0.90 % (5356)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.98/0.90 % (5356)Termination reason: Unknown
% 2.98/0.90 % (5356)Termination phase: Saturation
% 2.98/0.90
% 2.98/0.90 % (5356)Memory used [KB]: 9083
% 2.98/0.90 % (5356)Time elapsed: 0.333 s
% 2.98/0.90 % (5356)Instructions burned: 141 (million)
% 2.98/0.90 % (5356)------------------------------
% 2.98/0.90 % (5356)------------------------------
% 2.98/0.90 % (5386)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.98/0.90 % (5386)Termination reason: Unknown
% 2.98/0.90 % (5386)Termination phase: Saturation
% 2.98/0.90
% 2.98/0.90 % (5386)Memory used [KB]: 8443
% 2.98/0.90 % (5386)Time elapsed: 0.278 s
% 2.98/0.90 % (5386)Instructions burned: 149 (million)
% 2.98/0.90 % (5386)------------------------------
% 2.98/0.90 % (5386)------------------------------
% 2.98/0.91 % (5480)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 (2995ds/390Mi)
% 3.56/0.93 % (5362)Instruction limit reached!
% 3.56/0.93 % (5362)------------------------------
% 3.56/0.93 % (5362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.56/0.93 % (5362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.56/0.93 % (5362)Termination reason: Unknown
% 3.56/0.93 % (5362)Termination phase: Saturation
% 3.56/0.93
% 3.56/0.93 % (5362)Memory used [KB]: 8827
% 3.56/0.93 % (5362)Time elapsed: 0.330 s
% 3.56/0.93 % (5362)Instructions burned: 132 (million)
% 3.56/0.93 % (5362)------------------------------
% 3.56/0.93 % (5362)------------------------------
% 3.56/0.93 % (5410)Instruction limit reached!
% 3.56/0.93 % (5410)------------------------------
% 3.56/0.93 % (5410)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.56/0.93 % (5410)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.56/0.93 % (5410)Termination reason: Unknown
% 3.56/0.93 % (5410)Termination phase: Saturation
% 3.56/0.93
% 3.56/0.93 % (5410)Memory used [KB]: 8059
% 3.56/0.93 % (5410)Time elapsed: 0.287 s
% 3.56/0.93 % (5410)Instructions burned: 98 (million)
% 3.56/0.93 % (5410)------------------------------
% 3.56/0.93 % (5410)------------------------------
% 3.56/0.94 % (5475)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 (2995ds/8Mi)
% 3.56/0.94 % (5475)Instruction limit reached!
% 3.56/0.94 % (5475)------------------------------
% 3.56/0.94 % (5475)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.56/0.94 % (5475)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.56/0.95 % (5475)Termination reason: Unknown
% 3.56/0.95 % (5475)Termination phase: Property scanning
% 3.56/0.95
% 3.56/0.95 % (5475)Memory used [KB]: 2046
% 3.56/0.95 % (5475)Time elapsed: 0.005 s
% 3.56/0.95 % (5475)Instructions burned: 10 (million)
% 3.56/0.95 % (5475)------------------------------
% 3.56/0.95 % (5475)------------------------------
% 3.56/0.95 % (5468)Instruction limit reached!
% 3.56/0.95 % (5468)------------------------------
% 3.56/0.95 % (5468)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.56/0.95 % (5468)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.56/0.95 % (5468)Termination reason: Unknown
% 3.56/0.95 % (5468)Termination phase: Saturation
% 3.56/0.95
% 3.56/0.95 % (5468)Memory used [KB]: 12281
% 3.56/0.95 % (5468)Time elapsed: 0.018 s
% 3.56/0.95 % (5468)Instructions burned: 36 (million)
% 3.56/0.95 % (5468)------------------------------
% 3.56/0.95 % (5468)------------------------------
% 3.56/0.95 % (5487)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 (2995ds/23Mi)
% 3.56/0.96 % (5501)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 (2995ds/357Mi)
% 3.56/0.97 % (5503)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 (2994ds/424Mi)
% 3.56/0.97 % (5502)lrs+10_1:32_abs=on:br=off:urr=ec_only:i=366:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/366Mi)
% 3.56/0.98 % (5506)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 (2994ds/1000Mi)
% 3.56/0.98 % (5450)Instruction limit reached!
% 3.56/0.98 % (5450)------------------------------
% 3.56/0.98 % (5450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.56/0.98 % (5450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.56/0.98 % (5450)Termination reason: Unknown
% 3.56/0.98 % (5450)Termination phase: Saturation
% 3.56/0.98
% 3.56/0.98 % (5450)Memory used [KB]: 7803
% 3.56/0.98 % (5450)Time elapsed: 0.190 s
% 3.56/0.98 % (5450)Instructions burned: 86 (million)
% 3.56/0.98 % (5450)------------------------------
% 3.56/0.98 % (5450)------------------------------
% 3.56/0.98 % (5487)Instruction limit reached!
% 3.56/0.98 % (5487)------------------------------
% 3.56/0.98 % (5487)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.90/0.98 % (5505)lrs+11_1:2_aac=none:acc=on:alpa=true:spb=units:i=288:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/288Mi)
% 3.90/0.98 % (5423)Instruction limit reached!
% 3.90/0.98 % (5423)------------------------------
% 3.90/0.98 % (5423)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.90/0.99 % (5487)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.90/0.99 % (5487)Termination reason: Unknown
% 3.90/0.99 % (5487)Termination phase: Saturation
% 3.90/0.99
% 3.90/0.99 % (5487)Memory used [KB]: 6780
% 3.90/0.99 % (5487)Time elapsed: 0.012 s
% 3.90/0.99 % (5487)Instructions burned: 25 (million)
% 3.90/0.99 % (5487)------------------------------
% 3.90/0.99 % (5487)------------------------------
% 3.90/1.00 % (5504)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 (2994ds/753Mi)
% 3.90/1.00 % (5423)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.90/1.00 % (5423)Termination reason: Unknown
% 3.90/1.00 % (5423)Termination phase: Saturation
% 3.90/1.00
% 3.90/1.00 % (5423)Memory used [KB]: 7931
% 3.90/1.00 % (5423)Time elapsed: 0.237 s
% 3.90/1.00 % (5423)Instructions burned: 139 (million)
% 3.90/1.00 % (5423)------------------------------
% 3.90/1.00 % (5423)------------------------------
% 3.90/1.00 % (5508)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 (2994ds/35Mi)
% 3.90/1.01 % (5451)Instruction limit reached!
% 3.90/1.01 % (5451)------------------------------
% 3.90/1.01 % (5451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.90/1.01 % (5434)Instruction limit reached!
% 3.90/1.01 % (5434)------------------------------
% 3.90/1.01 % (5434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.90/1.01 % (5451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.90/1.01 % (5451)Termination reason: Unknown
% 3.90/1.01 % (5451)Termination phase: Saturation
% 3.90/1.01
% 3.90/1.01 % (5451)Memory used [KB]: 7419
% 3.90/1.01 % (5451)Time elapsed: 0.220 s
% 3.90/1.01 % (5451)Instructions burned: 80 (million)
% 3.90/1.01 % (5451)------------------------------
% 3.90/1.01 % (5451)------------------------------
% 3.90/1.02 % (5434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.90/1.02 % (5434)Termination reason: Unknown
% 3.90/1.02 % (5434)Termination phase: Saturation
% 3.90/1.02
% 3.90/1.02 % (5434)Memory used [KB]: 7675
% 3.90/1.02 % (5434)Time elapsed: 0.255 s
% 3.90/1.02 % (5434)Instructions burned: 94 (million)
% 3.90/1.02 % (5434)------------------------------
% 3.90/1.02 % (5434)------------------------------
% 3.90/1.02 % (5507)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 (2994ds/149Mi)
% 3.90/1.04 % (5509)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 (2994ds/377Mi)
% 4.18/1.05 % (5508)Instruction limit reached!
% 4.18/1.05 % (5508)------------------------------
% 4.18/1.05 % (5508)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.18/1.05 % (5508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.18/1.05 % (5508)Termination reason: Unknown
% 4.18/1.05 % (5508)Termination phase: Saturation
% 4.18/1.05
% 4.18/1.05 % (5508)Memory used [KB]: 7036
% 4.18/1.05 % (5508)Time elapsed: 0.019 s
% 4.18/1.05 % (5508)Instructions burned: 35 (million)
% 4.18/1.05 % (5508)------------------------------
% 4.18/1.05 % (5508)------------------------------
% 4.18/1.05 % (5473)Instruction limit reached!
% 4.18/1.05 % (5473)------------------------------
% 4.18/1.05 % (5473)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.18/1.05 % (5473)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.18/1.05 % (5473)Termination reason: Unknown
% 4.18/1.05 % (5473)Termination phase: Saturation
% 4.18/1.05
% 4.18/1.05 % (5473)Memory used [KB]: 3326
% 4.18/1.05 % (5473)Time elapsed: 0.227 s
% 4.18/1.05 % (5473)Instructions burned: 113 (million)
% 4.18/1.05 % (5473)------------------------------
% 4.18/1.05 % (5473)------------------------------
% 4.18/1.05 % (5511)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 (2994ds/45Mi)
% 4.18/1.06 % (5510)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 (2994ds/300Mi)
% 4.18/1.07 % (5513)lrs+1011_1:1_aac=none:fs=off:fsr=off:i=136:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/136Mi)
% 5.77/1.08 % (5456)Instruction limit reached!
% 5.77/1.08 % (5456)------------------------------
% 5.77/1.08 % (5456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.77/1.08 % (5512)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)
% 5.77/1.09 % (5456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.77/1.09 % (5456)Termination reason: Unknown
% 5.77/1.09 % (5456)Termination phase: Saturation
% 5.77/1.09
% 5.77/1.09 % (5456)Memory used [KB]: 7803
% 5.77/1.09 % (5456)Time elapsed: 0.280 s
% 5.77/1.09 % (5456)Instructions burned: 119 (million)
% 5.77/1.09 % (5456)------------------------------
% 5.77/1.09 % (5456)------------------------------
% 5.77/1.10 % (5516)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 (2993ds/234Mi)
% 5.77/1.11 % (5512)Instruction limit reached!
% 5.77/1.11 % (5512)------------------------------
% 5.77/1.11 % (5512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.77/1.11 % (5512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.77/1.11 % (5512)Termination reason: Unknown
% 5.77/1.11 % (5512)Termination phase: Saturation
% 5.77/1.11
% 5.77/1.11 % (5512)Memory used [KB]: 6780
% 5.77/1.11 % (5512)Time elapsed: 0.011 s
% 5.77/1.11 % (5512)Instructions burned: 24 (million)
% 5.77/1.11 % (5512)------------------------------
% 5.77/1.11 % (5512)------------------------------
% 5.77/1.12 % (5515)lrs+10_1:4_drc=off:sos=on:to=lpo:i=102:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/102Mi)
% 5.77/1.12 % (5514)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 (2993ds/91Mi)
% 6.16/1.14 % (5511)Instruction limit reached!
% 6.16/1.14 % (5511)------------------------------
% 6.16/1.14 % (5511)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.16/1.14 % (5511)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.16/1.14 % (5511)Termination reason: Unknown
% 6.16/1.14 % (5511)Termination phase: Saturation
% 6.16/1.14
% 6.16/1.14 % (5511)Memory used [KB]: 7164
% 6.16/1.14 % (5511)Time elapsed: 0.160 s
% 6.16/1.14 % (5511)Instructions burned: 45 (million)
% 6.16/1.14 % (5511)------------------------------
% 6.16/1.14 % (5511)------------------------------
% 6.16/1.14 % (5398)Instruction limit reached!
% 6.16/1.14 % (5398)------------------------------
% 6.16/1.14 % (5398)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.16/1.14 % (5398)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.16/1.14 % (5398)Termination reason: Unknown
% 6.16/1.14 % (5398)Termination phase: Saturation
% 6.16/1.14
% 6.16/1.14 % (5398)Memory used [KB]: 9466
% 6.16/1.14 % (5398)Time elapsed: 0.497 s
% 6.16/1.14 % (5398)Instructions burned: 237 (million)
% 6.16/1.14 % (5398)------------------------------
% 6.16/1.14 % (5398)------------------------------
% 6.40/1.15 % (5517)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 (2993ds/246Mi)
% 6.40/1.15 % (5518)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 (2993ds/290Mi)
% 6.40/1.16 % (5519)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 (2992ds/68Mi)
% 6.40/1.17 % (5520)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 (2992ds/248Mi)
% 6.40/1.19 % (5521)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 (2992ds/126Mi)
% 6.40/1.20 % (5443)Instruction limit reached!
% 6.40/1.20 % (5443)------------------------------
% 6.40/1.20 % (5443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.40/1.20 % (5442)Instruction limit reached!
% 6.40/1.20 % (5442)------------------------------
% 6.40/1.20 % (5442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.40/1.21 % (5442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.40/1.21 % (5442)Termination reason: Unknown
% 6.40/1.21 % (5442)Termination phase: Saturation
% 6.40/1.21
% 6.40/1.21 % (5442)Memory used [KB]: 8827
% 6.40/1.21 % (5442)Time elapsed: 0.422 s
% 6.40/1.21 % (5442)Instructions burned: 221 (million)
% 6.40/1.21 % (5442)------------------------------
% 6.40/1.21 % (5442)------------------------------
% 6.40/1.21 % (5443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.40/1.21 % (5443)Termination reason: Unknown
% 6.40/1.21 % (5443)Termination phase: Saturation
% 6.40/1.21
% 6.40/1.21 % (5443)Memory used [KB]: 5245
% 6.40/1.21 % (5443)Time elapsed: 0.433 s
% 6.40/1.21 % (5443)Instructions burned: 222 (million)
% 6.40/1.21 % (5443)------------------------------
% 6.40/1.21 % (5443)------------------------------
% 6.86/1.25 % (5522)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 (2992ds/997Mi)
% 6.86/1.26 % (5524)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 (2991ds/121Mi)
% 6.86/1.26 % (5523)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 (2991ds/139Mi)
% 6.86/1.26 % (5389)Instruction limit reached!
% 6.86/1.26 % (5389)------------------------------
% 6.86/1.26 % (5389)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.86/1.27 % (5519)Instruction limit reached!
% 6.86/1.27 % (5519)------------------------------
% 6.86/1.27 % (5519)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.86/1.27 % (5519)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.86/1.27 % (5519)Termination reason: Unknown
% 6.86/1.27 % (5519)Termination phase: Saturation
% 6.86/1.27
% 6.86/1.27 % (5519)Memory used [KB]: 2942
% 6.86/1.27 % (5519)Time elapsed: 0.162 s
% 6.86/1.27 % (5519)Instructions burned: 68 (million)
% 6.86/1.27 % (5519)------------------------------
% 6.86/1.27 % (5519)------------------------------
% 7.15/1.27 % (5389)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.15/1.27 % (5389)Termination reason: Unknown
% 7.15/1.27 % (5389)Termination phase: Saturation
% 7.15/1.27
% 7.15/1.27 % (5389)Memory used [KB]: 9850
% 7.15/1.27 % (5389)Time elapsed: 0.654 s
% 7.15/1.27 % (5389)Instructions burned: 343 (million)
% 7.15/1.27 % (5389)------------------------------
% 7.15/1.27 % (5389)------------------------------
% 7.15/1.28 % (5507)Instruction limit reached!
% 7.15/1.28 % (5507)------------------------------
% 7.15/1.28 % (5507)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.15/1.28 % (5507)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.15/1.28 % (5507)Termination reason: Unknown
% 7.15/1.28 % (5507)Termination phase: Saturation
% 7.15/1.28
% 7.15/1.28 % (5507)Memory used [KB]: 7803
% 7.15/1.28 % (5507)Time elapsed: 0.354 s
% 7.15/1.28 % (5507)Instructions burned: 150 (million)
% 7.15/1.28 % (5507)------------------------------
% 7.15/1.28 % (5507)------------------------------
% 7.15/1.28 % (5514)Instruction limit reached!
% 7.15/1.28 % (5514)------------------------------
% 7.15/1.28 % (5514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.15/1.28 % (5514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.15/1.28 % (5514)Termination reason: Unknown
% 7.15/1.28 % (5514)Termination phase: Saturation
% 7.15/1.28
% 7.15/1.28 % (5514)Memory used [KB]: 7547
% 7.15/1.28 % (5514)Time elapsed: 0.285 s
% 7.15/1.28 % (5514)Instructions burned: 91 (million)
% 7.15/1.28 % (5514)------------------------------
% 7.15/1.28 % (5514)------------------------------
% 7.15/1.29 % (5515)Instruction limit reached!
% 7.15/1.29 % (5515)------------------------------
% 7.15/1.29 % (5515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.15/1.29 % (5513)Instruction limit reached!
% 7.15/1.29 % (5513)------------------------------
% 7.15/1.29 % (5513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.15/1.30 % (5515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.15/1.30 % (5515)Termination reason: Unknown
% 7.15/1.30 % (5515)Termination phase: Saturation
% 7.15/1.30
% 7.15/1.30 % (5515)Memory used [KB]: 7931
% 7.15/1.30 % (5515)Time elapsed: 0.283 s
% 7.15/1.30 % (5515)Instructions burned: 102 (million)
% 7.15/1.30 % (5515)------------------------------
% 7.15/1.30 % (5515)------------------------------
% 7.15/1.30 % (5513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.15/1.30 % (5513)Termination reason: Unknown
% 7.15/1.30 % (5513)Termination phase: Saturation
% 7.15/1.30
% 7.15/1.30 % (5513)Memory used [KB]: 8315
% 7.15/1.30 % (5513)Time elapsed: 0.316 s
% 7.15/1.30 % (5513)Instructions burned: 137 (million)
% 7.15/1.30 % (5513)------------------------------
% 7.15/1.30 % (5513)------------------------------
% 7.56/1.34 % (5525)lrs+2_1:1_lwlo=on:nwc=10.0:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/92Mi)
% 7.56/1.35 % (5526)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 (2991ds/43Mi)
% 7.71/1.37 % (5427)Instruction limit reached!
% 7.71/1.37 % (5427)------------------------------
% 7.71/1.37 % (5427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.71/1.37 % (5527)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 (2990ds/50Mi)
% 7.71/1.38 % (5528)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 (2990ds/9Mi)
% 7.71/1.38 % (5427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.71/1.38 % (5427)Termination reason: Unknown
% 7.71/1.38 % (5427)Termination phase: Saturation
% 7.71/1.38
% 7.71/1.38 % (5427)Memory used [KB]: 12792
% 7.71/1.38 % (5427)Time elapsed: 0.656 s
% 7.71/1.38 % (5427)Instructions burned: 394 (million)
% 7.71/1.38 % (5427)------------------------------
% 7.71/1.38 % (5427)------------------------------
% 7.71/1.39 % (5528)Instruction limit reached!
% 7.71/1.39 % (5528)------------------------------
% 7.71/1.39 % (5528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.71/1.39 % (5528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.71/1.39 % (5528)Termination reason: Unknown
% 7.71/1.39 % (5528)Termination phase: Property scanning
% 7.71/1.39
% 7.71/1.39 % (5528)Memory used [KB]: 2046
% 7.71/1.39 % (5528)Time elapsed: 0.006 s
% 7.71/1.39 % (5528)Instructions burned: 10 (million)
% 7.71/1.39 % (5528)------------------------------
% 7.71/1.39 % (5528)------------------------------
% 7.71/1.39 % (5521)Instruction limit reached!
% 7.71/1.39 % (5521)------------------------------
% 7.71/1.39 % (5521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.71/1.40 % (5521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.71/1.40 % (5521)Termination reason: Unknown
% 7.71/1.40 % (5521)Termination phase: Saturation
% 7.71/1.40
% 7.71/1.40 % (5521)Memory used [KB]: 8699
% 7.71/1.40 % (5521)Time elapsed: 0.257 s
% 7.71/1.40 % (5521)Instructions burned: 126 (million)
% 7.71/1.40 % (5521)------------------------------
% 7.71/1.40 % (5521)------------------------------
% 7.71/1.41 % (5527)Instruction limit reached!
% 7.71/1.41 % (5527)------------------------------
% 7.71/1.41 % (5527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.71/1.41 % (5530)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 (2990ds/437Mi)
% 7.71/1.41 % (5529)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 (2990ds/915Mi)
% 8.07/1.42 % (5526)Instruction limit reached!
% 8.07/1.42 % (5526)------------------------------
% 8.07/1.42 % (5526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.07/1.42 % (5526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.07/1.42 % (5526)Termination reason: Unknown
% 8.07/1.42 % (5526)Termination phase: Saturation
% 8.07/1.42
% 8.07/1.42 % (5526)Memory used [KB]: 7036
% 8.07/1.42 % (5526)Time elapsed: 0.179 s
% 8.07/1.42 % (5526)Instructions burned: 44 (million)
% 8.07/1.42 % (5526)------------------------------
% 8.07/1.42 % (5526)------------------------------
% 8.07/1.43 % (5531)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 (2990ds/206Mi)
% 8.07/1.43 % (5527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.07/1.43 % (5527)Termination reason: Unknown
% 8.07/1.43 % (5527)Termination phase: Saturation
% 8.07/1.43
% 8.07/1.43 % (5527)Memory used [KB]: 7419
% 8.07/1.43 % (5527)Time elapsed: 0.106 s
% 8.07/1.43 % (5527)Instructions burned: 50 (million)
% 8.07/1.43 % (5527)------------------------------
% 8.07/1.43 % (5527)------------------------------
% 8.07/1.44 % (5532)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 (2990ds/1287Mi)
% 8.30/1.46 % (5525)Instruction limit reached!
% 8.30/1.46 % (5525)------------------------------
% 8.30/1.46 % (5525)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.30/1.47 % (5401)Instruction limit reached!
% 8.30/1.47 % (5401)------------------------------
% 8.30/1.47 % (5401)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.30/1.47 % (5401)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.30/1.47 % (5401)Termination reason: Unknown
% 8.30/1.47 % (5401)Termination phase: Saturation
% 8.30/1.47
% 8.30/1.47 % (5401)Memory used [KB]: 16502
% 8.30/1.47 % (5401)Time elapsed: 0.833 s
% 8.30/1.47 % (5401)Instructions burned: 472 (million)
% 8.30/1.47 % (5401)------------------------------
% 8.30/1.47 % (5401)------------------------------
% 8.30/1.47 % (5525)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.30/1.47 % (5525)Termination reason: Unknown
% 8.30/1.47 % (5525)Termination phase: Saturation
% 8.30/1.47
% 8.30/1.47 % (5525)Memory used [KB]: 7547
% 8.30/1.47 % (5525)Time elapsed: 0.204 s
% 8.30/1.47 % (5525)Instructions burned: 92 (million)
% 8.30/1.47 % (5525)------------------------------
% 8.30/1.47 % (5525)------------------------------
% 8.30/1.48 % (5524)Instruction limit reached!
% 8.30/1.48 % (5524)------------------------------
% 8.30/1.48 % (5524)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.30/1.48 % (5524)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.30/1.48 % (5524)Termination reason: Unknown
% 8.30/1.48 % (5524)Termination phase: Saturation
% 8.30/1.48
% 8.30/1.48 % (5524)Memory used [KB]: 8827
% 8.30/1.48 % (5524)Time elapsed: 0.297 s
% 8.30/1.48 % (5524)Instructions burned: 121 (million)
% 8.30/1.48 % (5524)------------------------------
% 8.30/1.48 % (5524)------------------------------
% 8.30/1.49 % (5523)Refutation not found, non-redundant clauses discarded% (5523)------------------------------
% 8.30/1.49 % (5523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.30/1.49 % (5523)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.30/1.49 % (5523)Termination reason: Refutation not found, non-redundant clauses discarded
% 8.30/1.49
% 8.30/1.49 % (5523)Memory used [KB]: 8059
% 8.30/1.49 % (5523)Time elapsed: 0.313 s
% 8.30/1.49 % (5523)Instructions burned: 127 (million)
% 8.30/1.49 % (5523)------------------------------
% 8.30/1.49 % (5523)------------------------------
% 8.30/1.49 % (5516)Refutation not found, non-redundant clauses discarded% (5516)------------------------------
% 8.30/1.49 % (5516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.30/1.49 % (5516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.30/1.49 % (5516)Termination reason: Refutation not found, non-redundant clauses discarded
% 8.30/1.49
% 8.30/1.49 % (5516)Memory used [KB]: 9466
% 8.30/1.49 % (5516)Time elapsed: 0.452 s
% 8.30/1.49 % (5516)Instructions burned: 221 (million)
% 8.30/1.49 % (5516)------------------------------
% 8.30/1.49 % (5516)------------------------------
% 8.30/1.49 % (5535)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 (2989ds/117Mi)
% 8.30/1.50 % (5533)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 (2989ds/1501Mi)
% 8.30/1.51 % (5455)Instruction limit reached!
% 8.30/1.51 % (5455)------------------------------
% 8.30/1.51 % (5455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.30/1.51 % (5455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.30/1.51 % (5455)Termination reason: Unknown
% 8.30/1.51 % (5455)Termination phase: Saturation
% 8.30/1.51
% 8.30/1.51 % (5455)Memory used [KB]: 10874
% 8.30/1.51 % (5455)Time elapsed: 0.704 s
% 8.30/1.51 % (5455)Instructions burned: 378 (million)
% 8.30/1.51 % (5455)------------------------------
% 8.30/1.51 % (5455)------------------------------
% 8.30/1.52 % (5505)Instruction limit reached!
% 8.30/1.52 % (5505)------------------------------
% 8.30/1.52 % (5505)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.30/1.52 % (5505)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.30/1.52 % (5505)Termination reason: Unknown
% 8.30/1.52 % (5505)Termination phase: Saturation
% 8.30/1.52
% 8.30/1.52 % (5505)Memory used [KB]: 10874
% 8.30/1.52 % (5505)Time elapsed: 0.619 s
% 8.30/1.52 % (5505)Instructions burned: 289 (million)
% 8.30/1.52 % (5505)------------------------------
% 8.30/1.52 % (5505)------------------------------
% 8.30/1.52 % (5510)Instruction limit reached!
% 8.30/1.52 % (5510)------------------------------
% 8.30/1.52 % (5510)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.30/1.52 % (5534)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 (2989ds/32Mi)
% 8.30/1.52 % (5502)Instruction limit reached!
% 8.30/1.52 % (5502)------------------------------
% 8.30/1.52 % (5502)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.30/1.53 % (5502)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.30/1.53 % (5502)Termination reason: Unknown
% 8.30/1.53 % (5502)Termination phase: Saturation
% 8.30/1.53
% 8.30/1.53 % (5502)Memory used [KB]: 9850
% 8.30/1.53 % (5502)Time elapsed: 0.643 s
% 8.30/1.53 % (5502)Instructions burned: 367 (million)
% 8.30/1.53 % (5502)------------------------------
% 8.30/1.53 % (5502)------------------------------
% 8.90/1.53 % (5501)Instruction limit reached!
% 8.90/1.53 % (5501)------------------------------
% 8.90/1.53 % (5501)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.90/1.54 % (5536)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 (2989ds/283Mi)
% 8.90/1.54 % (5537)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 (2989ds/115Mi)
% 8.90/1.54 % (5510)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.90/1.54 % (5510)Termination reason: Unknown
% 8.90/1.54 % (5510)Termination phase: Saturation
% 8.90/1.54
% 8.90/1.54 % (5510)Memory used [KB]: 9594
% 8.90/1.54 % (5510)Time elapsed: 0.547 s
% 8.90/1.54 % (5510)Instructions burned: 301 (million)
% 8.90/1.54 % (5510)------------------------------
% 8.90/1.54 % (5510)------------------------------
% 8.90/1.54 % (5501)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.90/1.54 % (5501)Termination reason: Unknown
% 8.90/1.54 % (5501)Termination phase: Saturation
% 8.90/1.54
% 8.90/1.54 % (5501)Memory used [KB]: 5628
% 8.90/1.54 % (5501)Time elapsed: 0.669 s
% 8.90/1.54 % (5501)Instructions burned: 357 (million)
% 8.90/1.54 % (5501)------------------------------
% 8.90/1.54 % (5501)------------------------------
% 9.04/1.58 % (5534)Instruction limit reached!
% 9.04/1.58 % (5534)------------------------------
% 9.04/1.58 % (5534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.04/1.59 % (5534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.04/1.59 % (5534)Termination reason: Unknown
% 9.04/1.59 % (5534)Termination phase: Saturation
% 9.04/1.59
% 9.04/1.59 % (5534)Memory used [KB]: 6780
% 9.04/1.59 % (5534)Time elapsed: 0.168 s
% 9.04/1.59 % (5534)Instructions burned: 33 (million)
% 9.04/1.59 % (5534)------------------------------
% 9.04/1.59 % (5534)------------------------------
% 9.04/1.59 % (5539)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 (2988ds/92Mi)
% 9.04/1.59 % (5538)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 (2988ds/93Mi)
% 9.04/1.60 % (5480)Instruction limit reached!
% 9.04/1.60 % (5480)------------------------------
% 9.04/1.60 % (5480)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.04/1.60 % (5480)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.04/1.60 % (5480)Termination reason: Unknown
% 9.04/1.60 % (5480)Termination phase: Saturation
% 9.04/1.60
% 9.04/1.60 % (5480)Memory used [KB]: 13560
% 9.04/1.60 % (5480)Time elapsed: 0.770 s
% 9.04/1.60 % (5480)Instructions burned: 391 (million)
% 9.04/1.60 % (5480)------------------------------
% 9.04/1.60 % (5480)------------------------------
% 9.04/1.61 % (5517)Instruction limit reached!
% 9.04/1.61 % (5517)------------------------------
% 9.04/1.61 % (5517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.04/1.61 % (5517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.04/1.61 % (5517)Termination reason: Unknown
% 9.04/1.61 % (5517)Termination phase: Saturation
% 9.04/1.61
% 9.04/1.61 % (5517)Memory used [KB]: 9083
% 9.04/1.61 % (5517)Time elapsed: 0.521 s
% 9.04/1.61 % (5517)Instructions burned: 247 (million)
% 9.04/1.61 % (5517)------------------------------
% 9.04/1.61 % (5517)------------------------------
% 9.04/1.61 % (5520)Instruction limit reached!
% 9.04/1.61 % (5520)------------------------------
% 9.04/1.61 % (5520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.04/1.61 % (5520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.04/1.61 % (5520)Termination reason: Unknown
% 9.04/1.61 % (5520)Termination phase: Saturation
% 9.04/1.61
% 9.04/1.61 % (5520)Memory used [KB]: 12792
% 9.04/1.61 % (5520)Time elapsed: 0.498 s
% 9.04/1.61 % (5520)Instructions burned: 248 (million)
% 9.04/1.61 % (5520)------------------------------
% 9.04/1.61 % (5520)------------------------------
% 9.04/1.61 % (5540)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 (2988ds/80Mi)
% 9.04/1.62 % (5543)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 (2988ds/285Mi)
% 9.04/1.62 % (5544)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 (2988ds/1486Mi)
% 9.04/1.62 % (5542)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 (2988ds/94Mi)
% 9.04/1.63 % (5541)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 (2988ds/251Mi)
% 9.04/1.64 % (5509)Instruction limit reached!
% 9.04/1.64 % (5509)------------------------------
% 9.04/1.64 % (5509)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.04/1.64 % (5509)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.04/1.64 % (5509)Termination reason: Unknown
% 9.04/1.64 % (5509)Termination phase: Saturation
% 9.04/1.64
% 9.04/1.64 % (5509)Memory used [KB]: 7164
% 9.04/1.64 % (5509)Time elapsed: 0.687 s
% 9.04/1.64 % (5509)Instructions burned: 378 (million)
% 9.04/1.64 % (5509)------------------------------
% 9.04/1.64 % (5509)------------------------------
% 9.04/1.65 % (5545)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 (2988ds/73Mi)
% 10.31/1.65 % (5546)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 (2988ds/106Mi)
% 10.31/1.66 % (5518)Instruction limit reached!
% 10.31/1.66 % (5518)------------------------------
% 10.31/1.66 % (5518)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.31/1.66 % (5535)Instruction limit reached!
% 10.31/1.66 % (5535)------------------------------
% 10.31/1.66 % (5535)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.31/1.67 % (5547)dis+1002_1:1_ep=R:sd=2:sos=on:ss=axioms:i=1488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/1488Mi)
% 10.31/1.67 % (5535)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.31/1.67 % (5535)Termination reason: Unknown
% 10.31/1.67 % (5535)Termination phase: Saturation
% 10.31/1.67
% 10.31/1.67 % (5535)Memory used [KB]: 3582
% 10.31/1.67 % (5535)Time elapsed: 0.219 s
% 10.31/1.67 % (5535)Instructions burned: 117 (million)
% 10.31/1.67 % (5535)------------------------------
% 10.31/1.67 % (5535)------------------------------
% 10.31/1.67 % (5518)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.53/1.68 % (5518)Termination reason: Unknown
% 10.53/1.68 % (5518)Termination phase: Saturation
% 10.53/1.68
% 10.53/1.68 % (5518)Memory used [KB]: 9338
% 10.53/1.68 % (5518)Time elapsed: 0.601 s
% 10.53/1.68 % (5518)Instructions burned: 292 (million)
% 10.53/1.68 % (5518)------------------------------
% 10.53/1.68 % (5518)------------------------------
% 10.53/1.69 % (5503)Instruction limit reached!
% 10.53/1.69 % (5503)------------------------------
% 10.53/1.69 % (5503)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.53/1.71 % (5432)Instruction limit reached!
% 10.53/1.71 % (5432)------------------------------
% 10.53/1.71 % (5432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.53/1.71 % (5503)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.53/1.71 % (5503)Termination reason: Unknown
% 10.53/1.71 % (5503)Termination phase: Saturation
% 10.53/1.71
% 10.53/1.71 % (5503)Memory used [KB]: 12792
% 10.53/1.71 % (5503)Time elapsed: 0.753 s
% 10.53/1.71 % (5503)Instructions burned: 425 (million)
% 10.53/1.71 % (5503)------------------------------
% 10.53/1.71 % (5503)------------------------------
% 10.53/1.71 % (5538)Instruction limit reached!
% 10.53/1.71 % (5538)------------------------------
% 10.53/1.71 % (5538)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.53/1.72 % (5548)lrs+1011_1:1_sd=1:ss=axioms:st=5.0:i=103:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/103Mi)
% 10.53/1.72 % (5432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.53/1.72 % (5432)Termination reason: Unknown
% 10.53/1.72 % (5432)Termination phase: Saturation
% 10.53/1.72
% 10.53/1.72 % (5432)Memory used [KB]: 16758
% 10.53/1.72 % (5432)Time elapsed: 0.924 s
% 10.53/1.72 % (5432)Instructions burned: 489 (million)
% 10.53/1.72 % (5432)------------------------------
% 10.53/1.72 % (5432)------------------------------
% 10.53/1.72 % (5538)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.53/1.72 % (5538)Termination reason: Unknown
% 10.53/1.72 % (5538)Termination phase: Saturation
% 10.53/1.72
% 10.53/1.72 % (5538)Memory used [KB]: 8059
% 10.53/1.72 % (5538)Time elapsed: 0.214 s
% 10.53/1.72 % (5538)Instructions burned: 95 (million)
% 10.53/1.72 % (5538)------------------------------
% 10.53/1.72 % (5538)------------------------------
% 10.53/1.72 % (5549)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 (2987ds/376Mi)
% 10.53/1.73 % (5550)lrs+10_1:1_sd=1:sos=all:ss=axioms:i=1345:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/1345Mi)
% 10.53/1.73 % (5531)Instruction limit reached!
% 10.53/1.73 % (5531)------------------------------
% 10.53/1.73 % (5531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.98/1.74 % (5551)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 (2987ds/134Mi)
% 10.98/1.74 % (5545)Instruction limit reached!
% 10.98/1.74 % (5545)------------------------------
% 10.98/1.74 % (5545)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.98/1.74 % (5545)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.98/1.74 % (5545)Termination reason: Unknown
% 10.98/1.74 % (5545)Termination phase: Saturation
% 10.98/1.74
% 10.98/1.74 % (5545)Memory used [KB]: 2942
% 10.98/1.74 % (5545)Time elapsed: 0.192 s
% 10.98/1.74 % (5545)Instructions burned: 74 (million)
% 10.98/1.74 % (5545)------------------------------
% 10.98/1.74 % (5545)------------------------------
% 10.98/1.75 % (5537)Instruction limit reached!
% 10.98/1.75 % (5537)------------------------------
% 10.98/1.75 % (5537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.98/1.75 % (5537)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.98/1.75 % (5537)Termination reason: Unknown
% 10.98/1.75 % (5537)Termination phase: Saturation
% 10.98/1.75
% 10.98/1.75 % (5537)Memory used [KB]: 7803
% 10.98/1.75 % (5537)Time elapsed: 0.285 s
% 10.98/1.75 % (5537)Instructions burned: 115 (million)
% 10.98/1.75 % (5537)------------------------------
% 10.98/1.75 % (5537)------------------------------
% 10.98/1.75 % (5531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.98/1.75 % (5531)Termination reason: Unknown
% 10.98/1.75 % (5531)Termination phase: Saturation
% 10.98/1.75
% 10.98/1.75 % (5531)Memory used [KB]: 8955
% 10.98/1.75 % (5531)Time elapsed: 0.406 s
% 10.98/1.75 % (5531)Instructions burned: 206 (million)
% 10.98/1.75 % (5531)------------------------------
% 10.98/1.75 % (5531)------------------------------
% 10.98/1.75 % (5552)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 (2987ds/1498Mi)
% 10.98/1.75 % (5539)Instruction limit reached!
% 10.98/1.75 % (5539)------------------------------
% 10.98/1.75 % (5539)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.11/1.75 % (5540)Instruction limit reached!
% 11.11/1.75 % (5540)------------------------------
% 11.11/1.75 % (5540)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.11/1.76 % (5540)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.11/1.76 % (5540)Termination reason: Unknown
% 11.11/1.76 % (5540)Termination phase: Saturation
% 11.11/1.76
% 11.11/1.76 % (5540)Memory used [KB]: 7547
% 11.11/1.76 % (5540)Time elapsed: 0.245 s
% 11.11/1.76 % (5540)Instructions burned: 81 (million)
% 11.11/1.76 % (5540)------------------------------
% 11.11/1.76 % (5540)------------------------------
% 11.11/1.76 % (5539)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.11/1.76 % (5539)Termination reason: Unknown
% 11.11/1.76 % (5539)Termination phase: Saturation
% 11.11/1.76
% 11.11/1.76 % (5539)Memory used [KB]: 3070
% 11.11/1.76 % (5539)Time elapsed: 0.262 s
% 11.11/1.76 % (5539)Instructions burned: 94 (million)
% 11.11/1.76 % (5539)------------------------------
% 11.11/1.76 % (5539)------------------------------
% 11.11/1.77 % (5553)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 (2986ds/177Mi)
% 11.11/1.79 % (5542)Instruction limit reached!
% 11.11/1.79 % (5542)------------------------------
% 11.11/1.79 % (5542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.11/1.79 % (5542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.11/1.79 % (5542)Termination reason: Unknown
% 11.11/1.79 % (5542)Termination phase: Saturation
% 11.11/1.79
% 11.11/1.79 % (5542)Memory used [KB]: 7803
% 11.11/1.79 % (5542)Time elapsed: 0.249 s
% 11.11/1.79 % (5542)Instructions burned: 96 (million)
% 11.11/1.79 % (5542)------------------------------
% 11.11/1.79 % (5542)------------------------------
% 11.11/1.81 % (5554)fmb+10_1:1_fmbsr=1.2:rp=on:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/82Mi)
% 11.41/1.82 % (5555)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 (2986ds/274Mi)
% 11.41/1.85 % (5546)Instruction limit reached!
% 11.41/1.85 % (5546)------------------------------
% 11.41/1.85 % (5546)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.41/1.85 % (5546)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.41/1.85 % (5546)Termination reason: Unknown
% 11.41/1.85 % (5546)Termination phase: Saturation
% 11.41/1.85
% 11.41/1.85 % (5546)Memory used [KB]: 7803
% 11.41/1.85 % (5546)Time elapsed: 0.269 s
% 11.41/1.85 % (5546)Instructions burned: 108 (million)
% 11.41/1.85 % (5546)------------------------------
% 11.41/1.85 % (5546)------------------------------
% 11.41/1.86 % (5561)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 (2985ds/432Mi)
% 11.62/1.86 % (5556)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 (2986ds/176Mi)
% 11.62/1.86 % (5562)lrs+11_1:1_bsr=unit_only:flr=on:to=lpo:i=440:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/440Mi)
% 11.62/1.87 % (5557)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 (2986ds/669Mi)
% 11.62/1.88 % (5558)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 (2986ds/156Mi)
% 11.62/1.88 % (5559)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 (2985ds/1735Mi)
% 11.62/1.88 % (5548)Instruction limit reached!
% 11.62/1.88 % (5548)------------------------------
% 11.62/1.88 % (5548)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.62/1.88 % (5548)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.62/1.88 % (5548)Termination reason: Unknown
% 11.62/1.88 % (5548)Termination phase: Saturation
% 11.62/1.88
% 11.62/1.88 % (5548)Memory used [KB]: 7547
% 11.62/1.88 % (5548)Time elapsed: 0.267 s
% 11.62/1.88 % (5548)Instructions burned: 103 (million)
% 11.62/1.88 % (5548)------------------------------
% 11.62/1.88 % (5548)------------------------------
% 11.62/1.88 % (5560)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 (2985ds/2681Mi)
% 11.62/1.92 % (5554)Instruction limit reached!
% 11.62/1.92 % (5554)------------------------------
% 11.62/1.92 % (5554)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.62/1.92 % (5554)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.62/1.92 % (5554)Termination reason: Unknown
% 11.62/1.92 % (5554)Termination phase: Finite model building preprocessing
% 11.62/1.92
% 11.62/1.92 % (5554)Memory used [KB]: 8699
% 11.62/1.92 % (5554)Time elapsed: 0.035 s
% 11.62/1.92 % (5554)Instructions burned: 83 (million)
% 11.62/1.92 % (5554)------------------------------
% 11.62/1.92 % (5554)------------------------------
% 11.62/1.93 % (5563)lrs+10_1:1_sd=1:sos=on:ss=included:i=3303:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/3303Mi)
% 12.04/1.95 % (5551)Instruction limit reached!
% 12.04/1.95 % (5551)------------------------------
% 12.04/1.95 % (5551)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.04/1.95 % (5551)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.04/1.95 % (5551)Termination reason: Unknown
% 12.04/1.96 % (5551)Termination phase: Saturation
% 12.04/1.96
% 12.04/1.96 % (5551)Memory used [KB]: 10106
% 12.04/1.96 % (5551)Time elapsed: 0.298 s
% 12.04/1.96 % (5551)Instructions burned: 134 (million)
% 12.04/1.96 % (5551)------------------------------
% 12.04/1.96 % (5551)------------------------------
% 12.18/1.98 % (5564)lrs+11_1:1_ss=included:st=2.0:i=503:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/503Mi)
% 12.18/1.99 % (5536)Instruction limit reached!
% 12.18/1.99 % (5536)------------------------------
% 12.18/1.99 % (5536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.18/2.01 % (5536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.18/2.01 % (5536)Termination reason: Unknown
% 12.18/2.01 % (5536)Termination phase: Saturation
% 12.18/2.01
% 12.18/2.01 % (5536)Memory used [KB]: 8699
% 12.18/2.01 % (5536)Time elapsed: 0.532 s
% 12.18/2.01 % (5536)Instructions burned: 284 (million)
% 12.18/2.01 % (5536)------------------------------
% 12.18/2.01 % (5536)------------------------------
% 12.18/2.02 % (5553)Instruction limit reached!
% 12.18/2.02 % (5553)------------------------------
% 12.18/2.02 % (5553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.18/2.02 % (5553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.18/2.02 % (5553)Termination reason: Unknown
% 12.18/2.02 % (5553)Termination phase: Saturation
% 12.18/2.02
% 12.18/2.02 % (5553)Memory used [KB]: 8955
% 12.18/2.02 % (5553)Time elapsed: 0.315 s
% 12.18/2.02 % (5553)Instructions burned: 178 (million)
% 12.18/2.02 % (5553)------------------------------
% 12.18/2.02 % (5553)------------------------------
% 12.18/2.02 % (5565)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 (2984ds/236Mi)
% 12.52/2.04 % (5566)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 (2984ds/128Mi)
% 12.52/2.05 % (5541)Instruction limit reached!
% 12.52/2.05 % (5541)------------------------------
% 12.52/2.05 % (5541)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.52/2.05 % (5541)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.52/2.05 % (5541)Termination reason: Unknown
% 12.52/2.05 % (5541)Termination phase: Saturation
% 12.52/2.05
% 12.52/2.05 % (5541)Memory used [KB]: 10362
% 12.52/2.05 % (5541)Time elapsed: 0.539 s
% 12.52/2.05 % (5541)Instructions burned: 251 (million)
% 12.52/2.05 % (5541)------------------------------
% 12.52/2.05 % (5541)------------------------------
% 12.57/2.08 % (5567)dis+1002_1:1_ep=RS:erd=off:sac=on:sos=on:i=2543:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/2543Mi)
% 12.57/2.11 % (5543)Instruction limit reached!
% 12.57/2.11 % (5543)------------------------------
% 12.57/2.11 % (5543)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.57/2.11 % (5543)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.57/2.11 % (5543)Termination reason: Unknown
% 12.57/2.11 % (5543)Termination phase: Saturation
% 12.57/2.11
% 12.57/2.11 % (5543)Memory used [KB]: 11897
% 12.57/2.11 % (5543)Time elapsed: 0.540 s
% 12.57/2.11 % (5543)Instructions burned: 285 (million)
% 12.57/2.11 % (5543)------------------------------
% 12.57/2.11 % (5543)------------------------------
% 12.85/2.13 % (5530)Instruction limit reached!
% 12.85/2.13 % (5530)------------------------------
% 12.85/2.13 % (5530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.85/2.13 % (5530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.85/2.13 % (5530)Termination reason: Unknown
% 12.85/2.13 % (5530)Termination phase: Saturation
% 12.85/2.13
% 12.85/2.13 % (5530)Memory used [KB]: 12153
% 12.85/2.13 % (5530)Time elapsed: 0.792 s
% 12.85/2.13 % (5530)Instructions burned: 437 (million)
% 12.85/2.13 % (5530)------------------------------
% 12.85/2.13 % (5530)------------------------------
% 12.85/2.14 % (5556)Instruction limit reached!
% 12.85/2.14 % (5556)------------------------------
% 12.85/2.14 % (5556)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.85/2.15 % (5569)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 (2983ds/279Mi)
% 12.85/2.15 % (5558)Instruction limit reached!
% 12.85/2.15 % (5558)------------------------------
% 12.85/2.15 % (5558)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.85/2.15 % (5568)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 (2983ds/45Mi)
% 12.85/2.15 % (5556)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.85/2.15 % (5556)Termination reason: Unknown
% 12.85/2.15 % (5556)Termination phase: Saturation
% 12.85/2.15
% 12.85/2.15 % (5556)Memory used [KB]: 8315
% 12.85/2.15 % (5556)Time elapsed: 0.396 s
% 12.85/2.15 % (5556)Instructions burned: 176 (million)
% 12.85/2.15 % (5556)------------------------------
% 12.85/2.15 % (5556)------------------------------
% 12.85/2.16 % (5558)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.85/2.16 % (5558)Termination reason: Unknown
% 12.85/2.16 % (5558)Termination phase: Saturation
% 12.85/2.16
% 12.85/2.16 % (5558)Memory used [KB]: 3837
% 12.85/2.16 % (5558)Time elapsed: 0.398 s
% 12.85/2.16 % (5558)Instructions burned: 156 (million)
% 12.85/2.16 % (5558)------------------------------
% 12.85/2.16 % (5558)------------------------------
% 14.43/2.17 % (5570)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 (2982ds/997Mi)
% 14.43/2.19 % (5504)Instruction limit reached!
% 14.43/2.19 % (5504)------------------------------
% 14.43/2.19 % (5504)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.43/2.20 % (5504)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.43/2.20 % (5504)Termination reason: Unknown
% 14.43/2.20 % (5504)Termination phase: Saturation
% 14.43/2.20
% 14.43/2.20 % (5504)Memory used [KB]: 13304
% 14.43/2.20 % (5504)Time elapsed: 1.310 s
% 14.43/2.20 % (5504)Instructions burned: 753 (million)
% 14.43/2.20 % (5504)------------------------------
% 14.43/2.20 % (5504)------------------------------
% 14.43/2.23 % (5568)Instruction limit reached!
% 14.43/2.23 % (5568)------------------------------
% 14.43/2.23 % (5568)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.43/2.23 % (5568)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.43/2.23 % (5568)Termination reason: Unknown
% 14.43/2.23 % (5568)Termination phase: Saturation
% 14.43/2.23
% 14.43/2.23 % (5568)Memory used [KB]: 7036
% 14.43/2.23 % (5568)Time elapsed: 0.169 s
% 14.43/2.23 % (5568)Instructions burned: 45 (million)
% 14.43/2.23 % (5568)------------------------------
% 14.43/2.23 % (5568)------------------------------
% 14.43/2.24 % (5571)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 (2982ds/121Mi)
% 15.05/2.26 % (5572)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 (2982ds/53Mi)
% 15.05/2.28 % (5555)Instruction limit reached!
% 15.05/2.28 % (5555)------------------------------
% 15.05/2.28 % (5555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.05/2.28 % (5566)Instruction limit reached!
% 15.05/2.28 % (5566)------------------------------
% 15.05/2.28 % (5566)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.05/2.28 % (5555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.05/2.28 % (5566)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.05/2.28 % (5566)Termination reason: Unknown
% 15.05/2.28 % (5555)Termination reason: Unknown
% 15.05/2.28 % (5555)Termination phase: Saturation
% 15.05/2.28 % (5566)Termination phase: Saturation
% 15.05/2.28
% 15.05/2.28
% 15.05/2.28 % (5555)Memory used [KB]: 9083
% 15.05/2.28 % (5555)Time elapsed: 0.548 s
% 15.05/2.28 % (5566)Memory used [KB]: 8315
% 15.05/2.28 % (5555)Instructions burned: 274 (million)
% 15.05/2.28 % (5566)Time elapsed: 0.317 s
% 15.05/2.28 % (5555)------------------------------
% 15.05/2.28 % (5555)------------------------------
% 15.05/2.28 % (5566)Instructions burned: 129 (million)
% 15.05/2.28 % (5566)------------------------------
% 15.05/2.28 % (5566)------------------------------
% 15.05/2.28 % (5573)lrs+1011_1:1_aac=none:fs=off:fsr=off:i=265:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/265Mi)
% 15.34/2.32 % (5574)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 (2981ds/84Mi)
% 15.34/2.33 % (5575)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 (2981ds/162Mi)
% 15.34/2.33 % (5576)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 (2981ds/1290Mi)
% 15.63/2.34 % (5549)Instruction limit reached!
% 15.63/2.34 % (5549)------------------------------
% 15.63/2.34 % (5549)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.63/2.34 % (5549)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.63/2.34 % (5549)Termination reason: Unknown
% 15.63/2.34 % (5549)Termination phase: Saturation
% 15.63/2.34
% 15.63/2.34 % (5549)Memory used [KB]: 15479
% 15.63/2.34 % (5549)Time elapsed: 0.699 s
% 15.63/2.34 % (5549)Instructions burned: 376 (million)
% 15.63/2.34 % (5549)------------------------------
% 15.63/2.34 % (5549)------------------------------
% 15.74/2.35 % (5572)Instruction limit reached!
% 15.74/2.35 % (5572)------------------------------
% 15.74/2.35 % (5572)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.74/2.35 % (5572)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.74/2.35 % (5572)Termination reason: Unknown
% 15.74/2.35 % (5572)Termination phase: Saturation
% 15.74/2.35
% 15.74/2.35 % (5572)Memory used [KB]: 7291
% 15.74/2.35 % (5572)Time elapsed: 0.183 s
% 15.74/2.35 % (5572)Instructions burned: 53 (million)
% 15.74/2.35 % (5572)------------------------------
% 15.74/2.35 % (5572)------------------------------
% 16.11/2.41 % (5578)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 (2980ds/192Mi)
% 16.11/2.41 % (5577)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 (2980ds/3040Mi)
% 16.11/2.43 % (5565)Instruction limit reached!
% 16.11/2.43 % (5565)------------------------------
% 16.11/2.43 % (5565)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.11/2.43 % (5565)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.11/2.43 % (5565)Termination reason: Unknown
% 16.11/2.43 % (5565)Termination phase: Saturation
% 16.11/2.43
% 16.11/2.43 % (5565)Memory used [KB]: 11385
% 16.11/2.43 % (5565)Time elapsed: 0.477 s
% 16.11/2.43 % (5565)Instructions burned: 237 (million)
% 16.11/2.43 % (5565)------------------------------
% 16.11/2.43 % (5565)------------------------------
% 16.11/2.43 % (5571)Instruction limit reached!
% 16.11/2.43 % (5571)------------------------------
% 16.11/2.43 % (5571)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.11/2.43 % (5571)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.11/2.43 % (5571)Termination reason: Unknown
% 16.11/2.43 % (5571)Termination phase: Saturation
% 16.11/2.43
% 16.11/2.43 % (5571)Memory used [KB]: 8443
% 16.11/2.43 % (5571)Time elapsed: 0.262 s
% 16.11/2.43 % (5571)Instructions burned: 121 (million)
% 16.11/2.43 % (5571)------------------------------
% 16.11/2.43 % (5571)------------------------------
% 16.11/2.46 % (5574)Instruction limit reached!
% 16.11/2.46 % (5574)------------------------------
% 16.11/2.46 % (5574)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.11/2.46 % (5574)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.11/2.46 % (5574)Termination reason: Unknown
% 16.11/2.46 % (5574)Termination phase: Saturation
% 16.11/2.46
% 16.11/2.46 % (5574)Memory used [KB]: 7675
% 16.11/2.46 % (5574)Time elapsed: 0.253 s
% 16.11/2.46 % (5574)Instructions burned: 84 (million)
% 16.11/2.46 % (5574)------------------------------
% 16.11/2.46 % (5574)------------------------------
% 16.49/2.46 % (5561)Instruction limit reached!
% 16.49/2.46 % (5561)------------------------------
% 16.49/2.46 % (5561)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.49/2.46 % (5561)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.49/2.46 % (5561)Termination reason: Unknown
% 16.49/2.46 % (5561)Termination phase: Saturation
% 16.49/2.46
% 16.49/2.46 % (5561)Memory used [KB]: 11769
% 16.49/2.46 % (5561)Time elapsed: 0.618 s
% 16.49/2.46 % (5561)Instructions burned: 432 (million)
% 16.49/2.46 % (5561)------------------------------
% 16.49/2.46 % (5561)------------------------------
% 16.49/2.47 % (5579)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 (2980ds/163Mi)
% 16.49/2.49 % (5580)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 (2980ds/201Mi)
% 16.49/2.50 % (5562)Instruction limit reached!
% 16.49/2.50 % (5562)------------------------------
% 16.49/2.50 % (5562)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.49/2.50 % (5562)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.49/2.50 % (5562)Termination reason: Unknown
% 16.49/2.50 % (5562)Termination phase: Saturation
% 16.49/2.50
% 16.49/2.50 % (5562)Memory used [KB]: 10234
% 16.49/2.50 % (5562)Time elapsed: 0.650 s
% 16.49/2.50 % (5562)Instructions burned: 441 (million)
% 16.49/2.50 % (5562)------------------------------
% 16.49/2.50 % (5562)------------------------------
% 16.98/2.55 % (5582)lrs+10_1:6_bd=off:drc=off:tgt=full:i=729:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/729Mi)
% 16.98/2.55 % (5581)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 (2979ds/3643Mi)
% 16.98/2.57 % (5584)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 (2978ds/73Mi)
% 16.98/2.59 % (5575)Instruction limit reached!
% 16.98/2.59 % (5575)------------------------------
% 16.98/2.59 % (5575)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.98/2.59 % (5575)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.98/2.59 % (5575)Termination reason: Unknown
% 16.98/2.59 % (5575)Termination phase: Saturation
% 16.98/2.59
% 16.98/2.59 % (5575)Memory used [KB]: 12409
% 16.98/2.59 % (5575)Time elapsed: 0.361 s
% 16.98/2.59 % (5575)Instructions burned: 162 (million)
% 16.98/2.59 % (5575)------------------------------
% 16.98/2.59 % (5575)------------------------------
% 17.28/2.61 % (5569)Instruction limit reached!
% 17.28/2.61 % (5569)------------------------------
% 17.28/2.61 % (5569)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.28/2.61 % (5569)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.28/2.61 % (5569)Termination reason: Unknown
% 17.28/2.61 % (5569)Termination phase: Saturation
% 17.28/2.61
% 17.28/2.61 % (5569)Memory used [KB]: 9594
% 17.28/2.61 % (5569)Time elapsed: 0.565 s
% 17.28/2.61 % (5569)Instructions burned: 279 (million)
% 17.28/2.61 % (5569)------------------------------
% 17.28/2.61 % (5569)------------------------------
% 17.28/2.61 % (5583)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 (2978ds/292Mi)
% 17.28/2.62 % (5585)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 (2978ds/1174Mi)
% 17.55/2.67 % (5584)Instruction limit reached!
% 17.55/2.67 % (5584)------------------------------
% 17.55/2.67 % (5584)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.55/2.67 % (5584)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.55/2.67 % (5584)Termination reason: Unknown
% 17.55/2.67 % (5584)Termination phase: Saturation
% 17.55/2.67
% 17.55/2.67 % (5584)Memory used [KB]: 2814
% 17.55/2.67 % (5584)Time elapsed: 0.147 s
% 17.55/2.67 % (5584)Instructions burned: 73 (million)
% 17.55/2.67 % (5584)------------------------------
% 17.55/2.67 % (5584)------------------------------
% 17.55/2.69 % (5573)Instruction limit reached!
% 17.55/2.69 % (5573)------------------------------
% 17.55/2.69 % (5573)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.55/2.69 % (5573)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.55/2.69 % (5573)Termination reason: Unknown
% 17.55/2.69 % (5573)Termination phase: Saturation
% 17.55/2.69
% 17.55/2.69 % (5573)Memory used [KB]: 9338
% 17.55/2.69 % (5573)Time elapsed: 0.513 s
% 17.55/2.69 % (5573)Instructions burned: 266 (million)
% 17.55/2.69 % (5573)------------------------------
% 17.55/2.69 % (5573)------------------------------
% 17.55/2.69 % (5506)Instruction limit reached!
% 17.55/2.69 % (5506)------------------------------
% 17.55/2.69 % (5506)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.55/2.69 % (5506)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.55/2.69 % (5506)Termination reason: Unknown
% 17.55/2.69 % (5506)Termination phase: Saturation
% 17.55/2.69
% 17.55/2.69 % (5506)Memory used [KB]: 16119
% 17.55/2.69 % (5506)Time elapsed: 1.800 s
% 17.55/2.69 % (5506)Instructions burned: 1001 (million)
% 17.55/2.69 % (5506)------------------------------
% 17.55/2.69 % (5506)------------------------------
% 17.55/2.70 % (5578)Instruction limit reached!
% 17.55/2.70 % (5578)------------------------------
% 17.55/2.70 % (5578)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.55/2.70 % (5578)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.55/2.70 % (5578)Termination reason: Unknown
% 17.55/2.70 % (5578)Termination phase: Saturation
% 17.55/2.70
% 17.55/2.70 % (5578)Memory used [KB]: 2942
% 17.55/2.70 % (5578)Time elapsed: 0.395 s
% 17.55/2.70 % (5578)Instructions burned: 192 (million)
% 17.55/2.70 % (5578)------------------------------
% 17.55/2.70 % (5578)------------------------------
% 18.76/2.72 % (5586)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 (2977ds/348Mi)
% 18.76/2.74 % (5587)lrs+31_1:1_fs=off:fsr=off:kws=precedence:i=772:si=on:rawr=on:rtra=on_0 on theBenchmark for (2977ds/772Mi)
% 18.76/2.74 % (5579)Instruction limit reached!
% 18.76/2.74 % (5579)------------------------------
% 18.76/2.74 % (5579)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 18.76/2.74 % (5579)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 18.76/2.74 % (5579)Termination reason: Unknown
% 18.76/2.74 % (5579)Termination phase: Saturation
% 18.76/2.74
% 18.76/2.74 % (5579)Memory used [KB]: 4349
% 18.76/2.74 % (5579)Time elapsed: 0.377 s
% 18.76/2.74 % (5579)Instructions burned: 163 (million)
% 18.76/2.74 % (5579)------------------------------
% 18.76/2.74 % (5579)------------------------------
% 19.20/2.79 % (5588)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 (2976ds/3380Mi)
% 19.20/2.80 % (5589)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 (2976ds/388Mi)
% 19.20/2.82 % (5590)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 (2976ds/198Mi)
% 19.20/2.83 % (5580)Instruction limit reached!
% 19.20/2.83 % (5580)------------------------------
% 19.20/2.83 % (5580)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 19.20/2.83 % (5580)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 19.20/2.83 % (5580)Termination reason: Unknown
% 19.20/2.83 % (5580)Termination phase: Saturation
% 19.20/2.83
% 19.20/2.83 % (5580)Memory used [KB]: 14583
% 19.20/2.83 % (5580)Time elapsed: 0.127 s
% 19.20/2.83 % (5580)Instructions burned: 202 (million)
% 19.20/2.83 % (5580)------------------------------
% 19.20/2.83 % (5580)------------------------------
% 19.20/2.85 % (5591)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 (2976ds/226Mi)
% 19.90/2.88 % (5564)Instruction limit reached!
% 19.90/2.88 % (5564)------------------------------
% 19.90/2.88 % (5564)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 19.90/2.88 % (5592)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 (2975ds/336Mi)
% 20.10/2.89 % (5564)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.10/2.90 % (5564)Termination reason: Unknown
% 20.10/2.90 % (5564)Termination phase: Saturation
% 20.10/2.90
% 20.10/2.90 % (5564)Memory used [KB]: 11385
% 20.10/2.90 % (5564)Time elapsed: 1.001 s
% 20.10/2.90 % (5564)Instructions burned: 503 (million)
% 20.10/2.90 % (5564)------------------------------
% 20.10/2.90 % (5564)------------------------------
% 20.42/2.95 % (5522)Instruction limit reached!
% 20.42/2.95 % (5522)------------------------------
% 20.42/2.95 % (5522)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.42/2.95 % (5522)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.42/2.95 % (5522)Termination reason: Unknown
% 20.42/2.95 % (5522)Termination phase: Saturation
% 20.42/2.95
% 20.42/2.95 % (5522)Memory used [KB]: 21364
% 20.42/2.95 % (5522)Time elapsed: 1.801 s
% 20.42/2.95 % (5522)Instructions burned: 998 (million)
% 20.42/2.95 % (5522)------------------------------
% 20.42/2.95 % (5522)------------------------------
% 20.42/2.96 % (5529)Instruction limit reached!
% 20.42/2.96 % (5529)------------------------------
% 20.42/2.96 % (5529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.42/2.96 % (5529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.42/2.96 % (5529)Termination reason: Unknown
% 20.42/2.96 % (5529)Termination phase: Saturation
% 20.42/2.96
% 20.42/2.96 % (5529)Memory used [KB]: 20980
% 20.42/2.96 % (5529)Time elapsed: 1.635 s
% 20.42/2.96 % (5529)Instructions burned: 916 (million)
% 20.42/2.96 % (5529)------------------------------
% 20.42/2.96 % (5529)------------------------------
% 20.42/2.96 % (5593)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=206:si=on:rawr=on:rtra=on_0 on theBenchmark for (2975ds/206Mi)
% 20.96/3.03 % (5557)Instruction limit reached!
% 20.96/3.03 % (5557)------------------------------
% 20.96/3.03 % (5557)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.96/3.03 % (5557)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.96/3.03 % (5557)Termination reason: Unknown
% 20.96/3.03 % (5557)Termination phase: Saturation
% 20.96/3.03
% 20.96/3.03 % (5557)Memory used [KB]: 12665
% 20.96/3.03 % (5557)Time elapsed: 1.299 s
% 20.96/3.03 % (5557)Instructions burned: 669 (million)
% 20.96/3.03 % (5557)------------------------------
% 20.96/3.03 % (5557)------------------------------
% 20.96/3.03 % (5594)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 (2974ds/2097Mi)
% 21.36/3.07 % (5583)Instruction limit reached!
% 21.36/3.07 % (5583)------------------------------
% 21.36/3.07 % (5583)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 21.36/3.08 % (5583)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 21.36/3.08 % (5583)Termination reason: Unknown
% 21.36/3.09 % (5583)Termination phase: Saturation
% 21.36/3.09
% 21.36/3.09 % (5583)Memory used [KB]: 10746
% 21.36/3.09 % (5583)Time elapsed: 0.593 s
% 21.36/3.09 % (5583)Instructions burned: 293 (million)
% 21.36/3.09 % (5583)------------------------------
% 21.36/3.09 % (5583)------------------------------
% 21.36/3.09 % (5595)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 (2973ds/4956Mi)
% 21.36/3.09 % (5596)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 (2973ds/322Mi)
% 21.36/3.12 % (5590)Instruction limit reached!
% 21.36/3.12 % (5590)------------------------------
% 21.36/3.12 % (5590)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 21.36/3.12 % (5590)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 21.36/3.12 % (5590)Termination reason: Unknown
% 21.36/3.12 % (5590)Termination phase: Saturation
% 21.36/3.12
% 21.36/3.12 % (5590)Memory used [KB]: 4861
% 21.36/3.12 % (5590)Time elapsed: 0.414 s
% 21.36/3.12 % (5590)Instructions burned: 198 (million)
% 21.36/3.12 % (5590)------------------------------
% 21.36/3.12 % (5590)------------------------------
% 21.94/3.16 % (5597)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 (2973ds/1004Mi)
% 22.11/3.21 % (5598)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)
% 22.11/3.22 % (5591)Instruction limit reached!
% 22.11/3.22 % (5591)------------------------------
% 22.11/3.22 % (5591)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 22.11/3.22 % (5591)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 22.11/3.22 % (5591)Termination reason: Unknown
% 22.11/3.22 % (5591)Termination phase: Saturation
% 22.11/3.22
% 22.11/3.22 % (5591)Memory used [KB]: 4605
% 22.11/3.22 % (5591)Time elapsed: 0.487 s
% 22.11/3.22 % (5591)Instructions burned: 227 (million)
% 22.11/3.22 % (5591)------------------------------
% 22.11/3.22 % (5591)------------------------------
% 22.33/3.23 % (5599)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 (2972ds/455Mi)
% 23.54/3.34 % (5586)Instruction limit reached!
% 23.54/3.34 % (5586)------------------------------
% 23.54/3.34 % (5586)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 23.54/3.34 % (5586)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 23.54/3.34 % (5586)Termination reason: Unknown
% 23.54/3.34 % (5586)Termination phase: Saturation
% 23.54/3.34
% 23.54/3.34 % (5586)Memory used [KB]: 12537
% 23.54/3.34 % (5586)Time elapsed: 0.718 s
% 23.54/3.34 % (5586)Instructions burned: 348 (million)
% 23.54/3.34 % (5586)------------------------------
% 23.54/3.34 % (5586)------------------------------
% 23.54/3.34 % (5593)Instruction limit reached!
% 23.54/3.34 % (5593)------------------------------
% 23.54/3.34 % (5593)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 23.54/3.36 % (5593)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 23.54/3.37 % (5593)Termination reason: Unknown
% 23.54/3.37 % (5593)Termination phase: Saturation
% 23.54/3.37
% 23.54/3.37 % (5593)Memory used [KB]: 9338
% 23.54/3.37 % (5593)Time elapsed: 0.474 s
% 23.54/3.37 % (5593)Instructions burned: 206 (million)
% 23.54/3.37 % (5593)------------------------------
% 23.54/3.37 % (5593)------------------------------
% 23.54/3.38 % (5600)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 (2971ds/98Mi)
% 24.77/3.48 % (5589)Instruction limit reached!
% 24.77/3.48 % (5589)------------------------------
% 24.77/3.48 % (5589)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 24.77/3.49 % (5601)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 (2970ds/186Mi)
% 24.77/3.49 % (5592)Instruction limit reached!
% 24.77/3.49 % (5592)------------------------------
% 24.77/3.49 % (5592)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 24.77/3.49 % (5592)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 24.77/3.49 % (5592)Termination reason: Unknown
% 24.77/3.49 % (5592)Termination phase: Saturation
% 24.77/3.49
% 24.77/3.49 % (5592)Memory used [KB]: 11001
% 24.77/3.49 % (5592)Time elapsed: 0.661 s
% 24.77/3.49 % (5592)Instructions burned: 337 (million)
% 24.77/3.49 % (5592)------------------------------
% 24.77/3.49 % (5592)------------------------------
% 24.77/3.50 % (5589)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 24.77/3.50 % (5589)Termination reason: Unknown
% 24.77/3.50 % (5589)Termination phase: Saturation
% 24.77/3.50
% 24.77/3.50 % (5589)Memory used [KB]: 11001
% 24.77/3.50 % (5589)Time elapsed: 0.763 s
% 24.77/3.50 % (5589)Instructions burned: 389 (million)
% 24.77/3.50 % (5589)------------------------------
% 24.77/3.50 % (5589)------------------------------
% 24.77/3.50 % (5602)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)
% 25.19/3.55 % (5600)Instruction limit reached!
% 25.19/3.55 % (5600)------------------------------
% 25.19/3.55 % (5600)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 25.19/3.55 % (5600)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 25.19/3.55 % (5600)Termination reason: Unknown
% 25.19/3.55 % (5600)Termination phase: Saturation
% 25.19/3.55
% 25.19/3.55 % (5600)Memory used [KB]: 3198
% 25.19/3.55 % (5600)Time elapsed: 0.299 s
% 25.19/3.55 % (5600)Instructions burned: 99 (million)
% 25.19/3.55 % (5600)------------------------------
% 25.19/3.55 % (5600)------------------------------
% 25.19/3.55 % (5532)Instruction limit reached!
% 25.19/3.55 % (5532)------------------------------
% 25.19/3.55 % (5532)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 25.19/3.55 % (5532)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 25.19/3.55 % (5532)Termination reason: Unknown
% 25.19/3.55 % (5532)Termination phase: Saturation
% 25.19/3.55
% 25.19/3.55 % (5532)Memory used [KB]: 26097
% 25.19/3.55 % (5532)Time elapsed: 2.199 s
% 25.19/3.55 % (5532)Instructions burned: 1288 (million)
% 25.19/3.55 % (5532)------------------------------
% 25.19/3.55 % (5532)------------------------------
% 25.74/3.63 % (5603)dis+1010_1:16_fsd=on:nicw=on:ss=included:i=433:si=on:rawr=on:rtra=on_0 on theBenchmark for (2968ds/433Mi)
% 25.74/3.63 % (5604)lrs+10_1:32_abs=on:br=off:urr=ec_only:i=453:si=on:rawr=on:rtra=on_0 on theBenchmark for (2968ds/453Mi)
% 25.74/3.66 % (5596)Instruction limit reached!
% 25.74/3.66 % (5596)------------------------------
% 25.74/3.66 % (5596)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 25.74/3.66 % (5596)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 25.74/3.66 % (5596)Termination reason: Unknown
% 25.74/3.66 % (5596)Termination phase: Saturation
% 25.74/3.66
% 25.74/3.66 % (5596)Memory used [KB]: 10746
% 25.74/3.66 % (5596)Time elapsed: 0.652 s
% 25.74/3.66 % (5596)Instructions burned: 323 (million)
% 25.74/3.66 % (5596)------------------------------
% 25.74/3.66 % (5596)------------------------------
% 26.15/3.69 % (5606)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 (2967ds/848Mi)
% 26.15/3.70 % (5605)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)
% 26.67/3.77 % (5570)Instruction limit reached!
% 26.67/3.77 % (5570)------------------------------
% 26.67/3.77 % (5570)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 26.75/3.78 % (5601)Instruction limit reached!
% 26.75/3.78 % (5601)------------------------------
% 26.75/3.78 % (5601)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 26.75/3.78 % (5570)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 26.75/3.78 % (5570)Termination reason: Unknown
% 26.75/3.78 % (5570)Termination phase: Saturation
% 26.75/3.78
% 26.75/3.78 % (5570)Memory used [KB]: 11385
% 26.75/3.78 % (5570)Time elapsed: 1.689 s
% 26.75/3.78 % (5570)Instructions burned: 997 (million)
% 26.75/3.78 % (5570)------------------------------
% 26.75/3.78 % (5570)------------------------------
% 26.75/3.79 % (5601)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 26.75/3.79 % (5601)Termination reason: Unknown
% 26.75/3.79 % (5601)Termination phase: Saturation
% 26.75/3.79
% 26.75/3.79 % (5601)Memory used [KB]: 13176
% 26.75/3.79 % (5601)Time elapsed: 0.410 s
% 26.75/3.79 % (5601)Instructions burned: 186 (million)
% 26.75/3.79 % (5601)------------------------------
% 26.75/3.79 % (5601)------------------------------
% 26.75/3.80 % (5607)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 (2966ds/452Mi)
% 27.57/3.84 % (5582)Instruction limit reached!
% 27.57/3.84 % (5582)------------------------------
% 27.57/3.84 % (5582)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 27.73/3.85 % (5587)Instruction limit reached!
% 27.73/3.85 % (5587)------------------------------
% 27.73/3.85 % (5587)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 27.73/3.85 % (5587)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 27.73/3.85 % (5587)Termination reason: Unknown
% 27.73/3.85 % (5587)Termination phase: Saturation
% 27.73/3.85
% 27.73/3.85 % (5587)Memory used [KB]: 13048
% 27.73/3.85 % (5587)Time elapsed: 1.224 s
% 27.73/3.85 % (5587)Instructions burned: 774 (million)
% 27.73/3.85 % (5587)------------------------------
% 27.73/3.85 % (5587)------------------------------
% 27.73/3.85 % (5582)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 27.73/3.85 % (5582)Termination reason: Unknown
% 27.73/3.85 % (5582)Termination phase: Saturation
% 27.73/3.85
% 27.73/3.85 % (5582)Memory used [KB]: 14456
% 27.73/3.85 % (5582)Time elapsed: 1.385 s
% 27.73/3.85 % (5582)Instructions burned: 729 (million)
% 27.73/3.85 % (5582)------------------------------
% 27.73/3.85 % (5582)------------------------------
% 27.73/3.92 % (5550)Instruction limit reached!
% 27.73/3.92 % (5550)------------------------------
% 27.73/3.92 % (5550)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 27.73/3.92 % (5608)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)
% 27.73/3.92 % (5609)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 (2965ds/855Mi)
% 27.73/3.92 % (5550)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 27.73/3.92 % (5550)Termination reason: Unknown
% 27.73/3.92 % (5550)Termination phase: Saturation
% 27.73/3.92
% 27.73/3.92 % (5550)Memory used [KB]: 18293
% 27.73/3.92 % (5550)Time elapsed: 2.289 s
% 27.73/3.92 % (5550)Instructions burned: 1346 (million)
% 27.73/3.92 % (5550)------------------------------
% 27.73/3.92 % (5550)------------------------------
% 28.38/3.96 % (5599)Instruction limit reached!
% 28.38/3.96 % (5599)------------------------------
% 28.38/3.96 % (5599)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 28.38/3.98 % (5599)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 28.38/3.98 % (5599)Termination reason: Unknown
% 28.38/3.98 % (5599)Termination phase: Saturation
% 28.38/3.98
% 28.38/3.98 % (5599)Memory used [KB]: 11513
% 28.38/3.98 % (5599)Time elapsed: 0.798 s
% 28.38/3.98 % (5599)Instructions burned: 456 (million)
% 28.38/3.98 % (5599)------------------------------
% 28.38/3.98 % (5599)------------------------------
% 28.78/4.00 % (5610)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 (2964ds/3379Mi)
% 28.78/4.00 % (5611)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 (2964ds/1340Mi)
% 28.78/4.05 % (5544)Instruction limit reached!
% 28.78/4.05 % (5544)------------------------------
% 28.78/4.05 % (5544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 28.78/4.05 % (5544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 28.78/4.05 % (5544)Termination reason: Unknown
% 28.78/4.05 % (5544)Termination phase: Saturation
% 28.78/4.05
% 28.78/4.05 % (5544)Memory used [KB]: 13048
% 28.78/4.05 % (5544)Time elapsed: 2.509 s
% 28.78/4.05 % (5544)Instructions burned: 1487 (million)
% 28.78/4.05 % (5544)------------------------------
% 28.78/4.05 % (5544)------------------------------
% 28.78/4.05 % (5612)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 (2964ds/1024Mi)
% 29.25/4.06 % (5533)Instruction limit reached!
% 29.25/4.06 % (5533)------------------------------
% 29.25/4.06 % (5533)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 29.38/4.07 % (5533)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 29.38/4.07 % (5533)Termination reason: Unknown
% 29.38/4.07 % (5533)Termination phase: Saturation
% 29.38/4.07
% 29.38/4.07 % (5533)Memory used [KB]: 42600
% 29.38/4.07 % (5533)Time elapsed: 2.624 s
% 29.38/4.07 % (5533)Instructions burned: 1501 (million)
% 29.38/4.07 % (5533)------------------------------
% 29.38/4.07 % (5533)------------------------------
% 29.38/4.08 % (5598)Instruction limit reached!
% 29.38/4.08 % (5598)------------------------------
% 29.38/4.08 % (5598)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 29.38/4.08 % (5613)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 (2963ds/480Mi)
% 29.38/4.10 % (5598)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 29.38/4.10 % (5598)Termination reason: Unknown
% 29.38/4.10 % (5598)Termination phase: Saturation
% 29.38/4.10
% 29.38/4.10 % (5598)Memory used [KB]: 9210
% 29.38/4.10 % (5598)Time elapsed: 0.966 s
% 29.38/4.10 % (5598)Instructions burned: 654 (million)
% 29.38/4.10 % (5598)------------------------------
% 29.38/4.10 % (5598)------------------------------
% 29.87/4.18 % (5614)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 (2963ds/543Mi)
% 29.87/4.22 % (5616)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 (2962ds/670Mi)
% 29.87/4.22 % (5615)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 (2962ds/2849Mi)
% 30.37/4.23 % (5547)Instruction limit reached!
% 30.37/4.23 % (5547)------------------------------
% 30.37/4.23 % (5547)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 30.37/4.24 % (5547)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 30.37/4.24 % (5547)Termination reason: Unknown
% 30.37/4.24 % (5547)Termination phase: Saturation
% 30.37/4.24
% 30.37/4.24 % (5547)Memory used [KB]: 29423
% 30.37/4.24 % (5547)Time elapsed: 2.640 s
% 30.37/4.24 % (5547)Instructions burned: 1489 (million)
% 30.37/4.24 % (5547)------------------------------
% 30.37/4.24 % (5547)------------------------------
% 30.37/4.25 % (5576)Instruction limit reached!
% 30.37/4.25 % (5576)------------------------------
% 30.37/4.25 % (5576)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 30.37/4.26 % (5604)Instruction limit reached!
% 30.37/4.26 % (5604)------------------------------
% 30.37/4.26 % (5604)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 30.37/4.27 % (5604)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 30.37/4.27 % (5604)Termination reason: Unknown
% 30.37/4.27 % (5604)Termination phase: Saturation
% 30.37/4.27
% 30.37/4.27 % (5604)Memory used [KB]: 10106
% 30.37/4.27 % (5604)Time elapsed: 0.723 s
% 30.37/4.27 % (5604)Instructions burned: 454 (million)
% 30.37/4.27 % (5604)------------------------------
% 30.37/4.27 % (5604)------------------------------
% 30.37/4.27 % (5576)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 30.37/4.27 % (5576)Termination reason: Unknown
% 30.37/4.27 % (5576)Termination phase: Saturation
% 30.37/4.27
% 30.37/4.27 % (5576)Memory used [KB]: 18933
% 30.37/4.27 % (5576)Time elapsed: 1.964 s
% 30.37/4.27 % (5576)Instructions burned: 1291 (million)
% 30.37/4.27 % (5576)------------------------------
% 30.37/4.27 % (5576)------------------------------
% 30.73/4.28 % (5603)Instruction limit reached!
% 30.73/4.28 % (5603)------------------------------
% 30.73/4.28 % (5603)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 30.73/4.29 % (5603)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 30.73/4.29 % (5603)Termination reason: Unknown
% 30.73/4.29 % (5603)Termination phase: Saturation
% 30.73/4.29
% 30.73/4.29 % (5603)Memory used [KB]: 9338
% 30.73/4.29 % (5603)Time elapsed: 0.760 s
% 30.73/4.29 % (5603)Instructions burned: 435 (million)
% 30.73/4.29 % (5603)------------------------------
% 30.73/4.29 % (5603)------------------------------
% 30.73/4.33 % (5552)Instruction limit reached!
% 30.73/4.33 % (5552)------------------------------
% 30.73/4.33 % (5552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 30.73/4.34 % (5585)Instruction limit reached!
% 30.73/4.34 % (5585)------------------------------
% 30.73/4.34 % (5585)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 30.73/4.34 % (5552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 30.73/4.34 % (5552)Termination reason: Unknown
% 30.73/4.34 % (5552)Termination phase: Saturation
% 30.73/4.34
% 30.73/4.34 % (5552)Memory used [KB]: 42344
% 30.73/4.34 % (5552)Time elapsed: 2.642 s
% 30.73/4.34 % (5552)Instructions burned: 1500 (million)
% 30.73/4.34 % (5552)------------------------------
% 30.73/4.34 % (5552)------------------------------
% 31.10/4.35 % (5617)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)
% 31.10/4.36 % (5602)Refutation not found, non-redundant clauses discarded% (5602)------------------------------
% 31.10/4.36 % (5602)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 31.10/4.36 % (5602)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 31.10/4.36 % (5602)Termination reason: Refutation not found, non-redundant clauses discarded
% 31.10/4.36
% 31.10/4.36 % (5602)Memory used [KB]: 11385
% 31.10/4.36 % (5602)Time elapsed: 0.965 s
% 31.10/4.36 % (5602)Instructions burned: 472 (million)
% 31.10/4.36 % (5602)------------------------------
% 31.10/4.36 % (5602)------------------------------
% 31.10/4.36 % (5585)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 31.10/4.36 % (5585)Termination reason: Unknown
% 31.10/4.37 % (5585)Termination phase: Saturation
% 31.10/4.37
% 31.10/4.37 % (5585)Memory used [KB]: 29551
% 31.10/4.37 % (5585)Time elapsed: 1.637 s
% 31.10/4.37 % (5585)Instructions burned: 1174 (million)
% 31.10/4.37 % (5585)------------------------------
% 31.10/4.37 % (5585)------------------------------
% 32.00/4.40 % (5619)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 (2960ds/124Mi)
% 32.00/4.40 % (5618)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 (2960ds/2016Mi)
% 32.37/4.43 % (5620)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 (2960ds/439Mi)
% 32.61/4.49 % (5623)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 (2959ds/1536Mi)
% 32.61/4.49 % (5621)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 (2959ds/778Mi)
% 32.61/4.50 % (5622)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 (2959ds/105Mi)
% 33.47/4.60 % (5619)Instruction limit reached!
% 33.47/4.60 % (5619)------------------------------
% 33.47/4.60 % (5619)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 33.47/4.60 % (5619)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 33.47/4.60 % (5619)Termination reason: Unknown
% 33.47/4.60 % (5619)Termination phase: Saturation
% 33.47/4.60
% 33.47/4.60 % (5619)Memory used [KB]: 3582
% 33.47/4.60 % (5619)Time elapsed: 0.288 s
% 33.47/4.60 % (5619)Instructions burned: 125 (million)
% 33.47/4.60 % (5619)------------------------------
% 33.47/4.60 % (5619)------------------------------
% 33.47/4.60 % (5607)Instruction limit reached!
% 33.47/4.60 % (5607)------------------------------
% 33.47/4.60 % (5607)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 33.47/4.60 % (5607)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 33.47/4.60 % (5607)Termination reason: Unknown
% 33.47/4.60 % (5607)Termination phase: Saturation
% 33.47/4.60
% 33.47/4.60 % (5607)Memory used [KB]: 7547
% 33.47/4.60 % (5607)Time elapsed: 0.898 s
% 33.47/4.60 % (5607)Instructions burned: 453 (million)
% 33.47/4.60 % (5607)------------------------------
% 33.47/4.60 % (5607)------------------------------
% 34.22/4.70 % (5597)Instruction limit reached!
% 34.22/4.70 % (5597)------------------------------
% 34.22/4.70 % (5597)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 34.22/4.70 % (5597)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 34.22/4.70 % (5597)Termination reason: Unknown
% 34.22/4.70 % (5597)Termination phase: Saturation
% 34.22/4.70
% 34.22/4.70 % (5597)Memory used [KB]: 9083
% 34.22/4.70 % (5597)Time elapsed: 1.641 s
% 34.22/4.70 % (5597)Instructions burned: 1005 (million)
% 34.22/4.70 % (5597)------------------------------
% 34.22/4.70 % (5597)------------------------------
% 34.22/4.70 % (5622)Instruction limit reached!
% 34.22/4.70 % (5622)------------------------------
% 34.22/4.70 % (5622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 34.22/4.70 % (5622)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 34.22/4.70 % (5622)Termination reason: Unknown
% 34.22/4.70 % (5622)Termination phase: Saturation
% 34.22/4.70
% 34.22/4.70 % (5622)Memory used [KB]: 8315
% 34.22/4.70 % (5622)Time elapsed: 0.302 s
% 34.22/4.70 % (5622)Instructions burned: 105 (million)
% 34.22/4.70 % (5622)------------------------------
% 34.22/4.70 % (5622)------------------------------
% 34.65/4.73 % (5624)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 (2957ds/167Mi)
% 34.65/4.74 % (5625)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 (2957ds/4507Mi)
% 34.84/4.78 % (5613)Instruction limit reached!
% 34.84/4.78 % (5613)------------------------------
% 34.84/4.78 % (5613)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 34.84/4.78 % (5613)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 34.84/4.78 % (5613)Termination reason: Unknown
% 34.84/4.78 % (5613)Termination phase: Saturation
% 34.84/4.78
% 34.84/4.78 % (5613)Memory used [KB]: 15735
% 34.84/4.78 % (5613)Time elapsed: 0.736 s
% 34.84/4.78 % (5613)Instructions burned: 480 (million)
% 34.84/4.78 % (5613)------------------------------
% 34.84/4.78 % (5613)------------------------------
% 34.84/4.81 % (5626)dis+1004_1:1_br=off:fsd=on:urr=ec_only:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2956ds/93Mi)
% 34.84/4.81 % (5559)Instruction limit reached!
% 34.84/4.81 % (5559)------------------------------
% 34.84/4.81 % (5559)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 34.84/4.82 % (5559)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 34.84/4.82 % (5559)Termination reason: Unknown
% 34.84/4.82 % (5559)Termination phase: Saturation
% 34.84/4.82
% 34.84/4.82 % (5559)Memory used [KB]: 25458
% 34.84/4.82 % (5559)Time elapsed: 3.033 s
% 34.84/4.82 % (5559)Instructions burned: 1735 (million)
% 34.84/4.82 % (5559)------------------------------
% 34.84/4.82 % (5559)------------------------------
% 35.28/4.83 % (5627)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 (2956ds/529Mi)
% 35.57/4.91 % (5628)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 (2955ds/1275Mi)
% 36.50/4.96 % (5626)Instruction limit reached!
% 36.50/4.96 % (5626)------------------------------
% 36.50/4.96 % (5626)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 36.50/4.96 % (5626)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 36.50/4.96 % (5626)Termination reason: Unknown
% 36.50/4.96 % (5626)Termination phase: Saturation
% 36.50/4.96
% 36.50/4.96 % (5626)Memory used [KB]: 7675
% 36.50/4.96 % (5626)Time elapsed: 0.217 s
% 36.50/4.96 % (5626)Instructions burned: 93 (million)
% 36.50/4.96 % (5626)------------------------------
% 36.50/4.96 % (5626)------------------------------
% 36.50/4.98 % (5629)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 (2955ds/507Mi)
% 36.78/5.03 % (5624)Instruction limit reached!
% 36.78/5.03 % (5624)------------------------------
% 36.78/5.03 % (5624)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 36.78/5.03 % (5624)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 36.78/5.03 % (5624)Termination reason: Unknown
% 36.78/5.03 % (5624)Termination phase: Saturation
% 36.78/5.03
% 36.78/5.03 % (5624)Memory used [KB]: 8443
% 36.78/5.03 % (5624)Time elapsed: 0.384 s
% 36.78/5.03 % (5624)Instructions burned: 168 (million)
% 36.78/5.03 % (5624)------------------------------
% 36.78/5.03 % (5624)------------------------------
% 37.35/5.07 % (5608)Instruction limit reached!
% 37.35/5.07 % (5608)------------------------------
% 37.35/5.07 % (5608)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 37.35/5.08 % (5608)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 37.35/5.08 % (5608)Termination reason: Unknown
% 37.35/5.08 % (5608)Termination phase: Saturation
% 37.35/5.08
% 37.35/5.08 % (5608)Memory used [KB]: 19957
% 37.35/5.08 % (5608)Time elapsed: 1.244 s
% 37.35/5.08 % (5608)Instructions burned: 646 (million)
% 37.35/5.08 % (5608)------------------------------
% 37.35/5.08 % (5608)------------------------------
% 37.35/5.09 % (5605)Instruction limit reached!
% 37.35/5.09 % (5605)------------------------------
% 37.35/5.09 % (5605)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 37.35/5.09 % (5605)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 37.35/5.09 % (5605)Termination reason: Unknown
% 37.35/5.09 % (5605)Termination phase: Saturation
% 37.35/5.09
% 37.35/5.09 % (5605)Memory used [KB]: 22899
% 37.35/5.09 % (5605)Time elapsed: 1.481 s
% 37.35/5.09 % (5605)Instructions burned: 802 (million)
% 37.35/5.09 % (5605)------------------------------
% 37.35/5.09 % (5605)------------------------------
% 37.35/5.10 % (5630)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 (2953ds/354Mi)
% 37.35/5.11 % (5606)Instruction limit reached!
% 37.35/5.11 % (5606)------------------------------
% 37.35/5.11 % (5606)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 37.35/5.11 % (5606)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 37.35/5.11 % (5606)Termination reason: Unknown
% 37.35/5.11 % (5606)Termination phase: Saturation
% 37.35/5.11
% 37.35/5.11 % (5606)Memory used [KB]: 13560
% 37.35/5.11 % (5606)Time elapsed: 1.528 s
% 37.35/5.11 % (5606)Instructions burned: 850 (million)
% 37.35/5.11 % (5606)------------------------------
% 37.35/5.11 % (5606)------------------------------
% 37.84/5.13 % (5614)Refutation not found, non-redundant clauses discarded% (5614)------------------------------
% 37.84/5.13 % (5614)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 37.84/5.13 % (5614)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 37.84/5.13 % (5614)Termination reason: Refutation not found, non-redundant clauses discarded
% 37.84/5.13
% 37.84/5.13 % (5614)Memory used [KB]: 12920
% 37.84/5.13 % (5614)Time elapsed: 1.046 s
% 37.84/5.13 % (5614)Instructions burned: 517 (million)
% 37.84/5.13 % (5614)------------------------------
% 37.84/5.13 % (5614)------------------------------
% 38.15/5.17 % (5631)ott+10_1:1_fde=none:flr=on:s2a=on:i=210:si=on:rawr=on:rtra=on_0 on theBenchmark for (2953ds/210Mi)
% 38.15/5.20 % (5616)Instruction limit reached!
% 38.15/5.20 % (5616)------------------------------
% 38.15/5.20 % (5616)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 38.15/5.22 % (5632)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)
% 38.15/5.22 % (5616)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 38.15/5.22 % (5616)Termination reason: Unknown
% 38.15/5.22 % (5616)Termination phase: Saturation
% 38.15/5.22
% 38.15/5.22 % (5616)Memory used [KB]: 15223
% 38.15/5.22 % (5616)Time elapsed: 1.053 s
% 38.15/5.22 % (5616)Instructions burned: 670 (million)
% 38.15/5.22 % (5616)------------------------------
% 38.15/5.22 % (5616)------------------------------
% 38.15/5.22 % (5633)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 (2952ds/1114Mi)
% 38.15/5.22 % (5620)Instruction limit reached!
% 38.15/5.22 % (5620)------------------------------
% 38.15/5.22 % (5620)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 38.15/5.23 % (5620)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 38.15/5.23 % (5620)Termination reason: Unknown
% 38.15/5.23 % (5620)Termination phase: Saturation
% 38.15/5.23
% 38.15/5.23 % (5620)Memory used [KB]: 11129
% 38.15/5.23 % (5620)Time elapsed: 0.865 s
% 38.15/5.23 % (5620)Instructions burned: 439 (million)
% 38.15/5.23 % (5620)------------------------------
% 38.15/5.23 % (5620)------------------------------
% 38.64/5.25 % (5634)dis+1011_1:1_newcnf=on:nwc=5.0:i=189:si=on:rawr=on:rtra=on_0 on theBenchmark for (2952ds/189Mi)
% 38.90/5.28 % (5635)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 (2952ds/351Mi)
% 39.35/5.36 % (5636)lrs+1004_1:1_av=off:bd=off:sos=all:i=144:si=on:rawr=on:rtra=on_0 on theBenchmark for (2951ds/144Mi)
% 39.35/5.36 % (5637)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 (2951ds/318Mi)
% 39.35/5.37 % (5632)Instruction limit reached!
% 39.35/5.37 % (5632)------------------------------
% 39.35/5.37 % (5632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 39.35/5.37 % (5632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 39.35/5.37 % (5632)Termination reason: Unknown
% 39.35/5.37 % (5632)Termination phase: Saturation
% 39.35/5.37
% 39.35/5.37 % (5632)Memory used [KB]: 7931
% 39.35/5.37 % (5632)Time elapsed: 0.258 s
% 39.35/5.37 % (5632)Instructions burned: 94 (million)
% 39.35/5.37 % (5632)------------------------------
% 39.35/5.37 % (5632)------------------------------
% 39.35/5.40 % (5609)Instruction limit reached!
% 39.35/5.40 % (5609)------------------------------
% 39.35/5.40 % (5609)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 39.82/5.42 % (5609)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 39.82/5.42 % (5609)Termination reason: Unknown
% 39.82/5.42 % (5609)Termination phase: Saturation
% 39.82/5.42
% 39.82/5.42 % (5609)Memory used [KB]: 22771
% 39.82/5.42 % (5609)Time elapsed: 1.561 s
% 39.82/5.42 % (5609)Instructions burned: 856 (million)
% 39.82/5.42 % (5609)------------------------------
% 39.82/5.42 % (5609)------------------------------
% 40.68/5.51 % (5617)Instruction limit reached!
% 40.68/5.51 % (5617)------------------------------
% 40.68/5.51 % (5617)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 40.68/5.51 % (5617)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 40.68/5.51 % (5617)Termination reason: Unknown
% 40.68/5.51 % (5617)Termination phase: Saturation
% 40.68/5.51
% 40.68/5.51 % (5617)Memory used [KB]: 21492
% 40.68/5.51 % (5617)Time elapsed: 1.253 s
% 40.68/5.51 % (5617)Instructions burned: 919 (million)
% 40.68/5.51 % (5617)------------------------------
% 40.68/5.51 % (5617)------------------------------
% 40.68/5.52 % (5638)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)
% 40.68/5.52 % (5631)Instruction limit reached!
% 40.68/5.52 % (5631)------------------------------
% 40.68/5.52 % (5631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 40.68/5.52 % (5631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 40.68/5.52 % (5631)Termination reason: Unknown
% 40.68/5.52 % (5631)Termination phase: Saturation
% 40.68/5.52
% 40.68/5.52 % (5631)Memory used [KB]: 9210
% 40.68/5.52 % (5631)Time elapsed: 0.445 s
% 40.68/5.52 % (5631)Instructions burned: 210 (million)
% 40.68/5.52 % (5631)------------------------------
% 40.68/5.52 % (5631)------------------------------
% 41.35/5.56 % (5639)lrs+10_1:4_drc=off:sos=on:to=lpo:i=689:si=on:rawr=on:rtra=on_0 on theBenchmark for (2949ds/689Mi)
% 41.35/5.58 % (5634)Instruction limit reached!
% 41.35/5.58 % (5634)------------------------------
% 41.35/5.58 % (5634)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 41.35/5.58 % (5636)Instruction limit reached!
% 41.35/5.58 % (5636)------------------------------
% 41.35/5.58 % (5636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 41.35/5.59 % (5634)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 41.35/5.59 % (5634)Termination reason: Unknown
% 41.35/5.59 % (5634)Termination phase: Saturation
% 41.35/5.59
% 41.35/5.59 % (5634)Memory used [KB]: 8315
% 41.35/5.59 % (5634)Time elapsed: 0.437 s
% 41.35/5.59 % (5634)Instructions burned: 191 (million)
% 41.35/5.59 % (5634)------------------------------
% 41.35/5.59 % (5634)------------------------------
% 41.35/5.59 % (5636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 41.35/5.59 % (5636)Termination reason: Unknown
% 41.35/5.59 % (5636)Termination phase: Saturation
% 41.35/5.59
% 41.35/5.59 % (5636)Memory used [KB]: 3582
% 41.35/5.59 % (5636)Time elapsed: 0.338 s
% 41.35/5.59 % (5636)Instructions burned: 146 (million)
% 41.35/5.59 % (5636)------------------------------
% 41.35/5.59 % (5636)------------------------------
% 41.63/5.62 % (5612)Instruction limit reached!
% 41.63/5.62 % (5612)------------------------------
% 41.63/5.62 % (5612)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 41.63/5.62 % (5612)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 41.63/5.62 % (5612)Termination reason: Unknown
% 41.63/5.62 % (5612)Termination phase: Saturation
% 41.63/5.62
% 41.63/5.62 % (5612)Memory used [KB]: 25458
% 41.63/5.62 % (5612)Time elapsed: 1.677 s
% 41.63/5.62 % (5612)Instructions burned: 1024 (million)
% 41.63/5.62 % (5612)------------------------------
% 41.63/5.62 % (5612)------------------------------
% 42.04/5.65 % (5641)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 (2948ds/125Mi)
% 42.04/5.67 % (5640)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 (2948ds/451Mi)
% 42.04/5.68 % (5642)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)
% 42.04/5.70 % (5630)Instruction limit reached!
% 42.04/5.70 % (5630)------------------------------
% 42.04/5.70 % (5630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 42.04/5.70 % (5630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 42.04/5.70 % (5630)Termination reason: Unknown
% 42.04/5.71 % (5630)Termination phase: Saturation
% 42.04/5.71
% 42.04/5.71 % (5630)Memory used [KB]: 4221
% 42.04/5.71 % (5630)Time elapsed: 0.682 s
% 42.04/5.71 % (5630)Instructions burned: 354 (million)
% 42.04/5.71 % (5630)------------------------------
% 42.04/5.71 % (5630)------------------------------
% 42.46/5.73 % (5621)Instruction limit reached!
% 42.46/5.73 % (5621)------------------------------
% 42.46/5.73 % (5621)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 42.46/5.73 % (5621)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 42.46/5.73 % (5621)Termination reason: Unknown
% 42.46/5.73 % (5621)Termination phase: Saturation
% 42.46/5.73
% 42.46/5.73 % (5621)Memory used [KB]: 11257
% 42.46/5.73 % (5621)Time elapsed: 1.333 s
% 42.46/5.73 % (5621)Instructions burned: 779 (million)
% 42.46/5.73 % (5621)------------------------------
% 42.46/5.73 % (5621)------------------------------
% 42.46/5.74 % (5643)dis+10_1:1024_drc=off:ins=1:to=lpo:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2947ds/370Mi)
% 42.81/5.80 % (5644)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 (2947ds/134Mi)
% 42.81/5.83 % (5629)Instruction limit reached!
% 42.81/5.83 % (5629)------------------------------
% 42.81/5.83 % (5629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 42.81/5.83 % (5629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 42.81/5.83 % (5629)Termination reason: Unknown
% 42.81/5.83 % (5629)Termination phase: Saturation
% 42.81/5.83
% 42.81/5.83 % (5629)Memory used [KB]: 13432
% 42.81/5.83 % (5629)Time elapsed: 0.915 s
% 42.81/5.83 % (5629)Instructions burned: 508 (million)
% 42.81/5.83 % (5629)------------------------------
% 42.81/5.83 % (5629)------------------------------
% 42.81/5.84 % (5646)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 (2946ds/1879Mi)
% 42.81/5.85 % (5627)Instruction limit reached!
% 42.81/5.85 % (5627)------------------------------
% 42.81/5.85 % (5627)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 42.81/5.85 % (5627)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 42.81/5.85 % (5627)Termination reason: Unknown
% 42.81/5.85 % (5627)Termination phase: Saturation
% 42.81/5.85
% 42.81/5.85 % (5627)Memory used [KB]: 12153
% 42.81/5.85 % (5627)Time elapsed: 1.118 s
% 42.81/5.85 % (5627)Instructions burned: 529 (million)
% 42.81/5.85 % (5627)------------------------------
% 42.81/5.85 % (5627)------------------------------
% 43.38/5.85 % (5645)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 (2946ds/401Mi)
% 43.38/5.86 % (5635)Instruction limit reached!
% 43.38/5.86 % (5635)------------------------------
% 43.38/5.86 % (5635)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 43.38/5.87 % (5635)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 43.38/5.87 % (5635)Termination reason: Unknown
% 43.38/5.87 % (5635)Termination phase: Saturation
% 43.38/5.87
% 43.38/5.87 % (5635)Memory used [KB]: 9850
% 43.38/5.87 % (5635)Time elapsed: 0.683 s
% 43.38/5.87 % (5635)Instructions burned: 352 (million)
% 43.38/5.87 % (5635)------------------------------
% 43.38/5.87 % (5635)------------------------------
% 43.59/5.90 % (5641)Instruction limit reached!
% 43.59/5.90 % (5641)------------------------------
% 43.59/5.90 % (5641)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 43.59/5.91 % (5641)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 43.59/5.91 % (5641)Termination reason: Unknown
% 43.59/5.91 % (5641)Termination phase: Saturation
% 43.59/5.91
% 43.59/5.91 % (5641)Memory used [KB]: 8443
% 43.59/5.91 % (5641)Time elapsed: 0.339 s
% 43.59/5.91 % (5641)Instructions burned: 126 (million)
% 43.59/5.91 % (5641)------------------------------
% 43.59/5.91 % (5641)------------------------------
% 43.59/5.92 % (5637)Instruction limit reached!
% 43.59/5.92 % (5637)------------------------------
% 43.59/5.92 % (5637)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 43.59/5.92 % (5637)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 43.59/5.92 % (5637)Termination reason: Unknown
% 43.59/5.92 % (5637)Termination phase: Saturation
% 43.59/5.92
% 43.59/5.92 % (5637)Memory used [KB]: 10618
% 43.59/5.92 % (5637)Time elapsed: 0.665 s
% 43.59/5.92 % (5637)Instructions burned: 318 (million)
% 43.59/5.92 % (5637)------------------------------
% 43.59/5.92 % (5637)------------------------------
% 43.98/5.96 % (5647)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 (2945ds/392Mi)
% 43.98/5.96 % (5648)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 (2945ds/3473Mi)
% 43.98/5.97 % (5649)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)
% 45.00/6.02 % (5644)Instruction limit reached!
% 45.00/6.02 % (5644)------------------------------
% 45.00/6.02 % (5644)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 45.00/6.02 % (5650)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 (2944ds/154Mi)
% 45.00/6.03 % (5644)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 45.00/6.04 % (5644)Termination reason: Unknown
% 45.00/6.04 % (5644)Termination phase: Saturation
% 45.00/6.04
% 45.00/6.04 % (5644)Memory used [KB]: 3326
% 45.00/6.04 % (5644)Time elapsed: 0.346 s
% 45.00/6.04 % (5644)Instructions burned: 135 (million)
% 45.00/6.04 % (5644)------------------------------
% 45.00/6.04 % (5644)------------------------------
% 45.00/6.05 % (5651)lrs+10_1:1_ev=cautious:sas=z3:tgt=full:i=668:si=on:rawr=on:rtra=on_0 on theBenchmark for (2944ds/668Mi)
% 45.43/6.14 % (5567)Instruction limit reached!
% 45.43/6.14 % (5567)------------------------------
% 45.43/6.14 % (5567)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 45.43/6.14 % (5567)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 45.43/6.14 % (5567)Termination reason: Unknown
% 45.43/6.14 % (5567)Termination phase: Saturation
% 45.43/6.14
% 45.43/6.14 % (5567)Memory used [KB]: 31342
% 45.43/6.14 % (5567)Time elapsed: 4.110 s
% 45.43/6.14 % (5567)Instructions burned: 2543 (million)
% 45.43/6.14 % (5567)------------------------------
% 45.43/6.14 % (5567)------------------------------
% 46.18/6.18 % (5649)Instruction limit reached!
% 46.18/6.18 % (5649)------------------------------
% 46.18/6.18 % (5649)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 46.18/6.18 % (5652)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)
% 46.18/6.18 % (5649)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 46.18/6.18 % (5649)Termination reason: Unknown
% 46.18/6.18 % (5649)Termination phase: Saturation
% 46.18/6.18
% 46.18/6.18 % (5649)Memory used [KB]: 3454
% 46.18/6.18 % (5649)Time elapsed: 0.292 s
% 46.18/6.18 % (5649)Instructions burned: 133 (million)
% 46.18/6.18 % (5649)------------------------------
% 46.18/6.18 % (5649)------------------------------
% 46.38/6.22 % (5560)Instruction limit reached!
% 46.38/6.22 % (5560)------------------------------
% 46.38/6.22 % (5560)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 46.38/6.22 % (5560)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 46.38/6.22 % (5560)Termination reason: Unknown
% 46.38/6.22 % (5560)Termination phase: Saturation
% 46.38/6.22
% 46.38/6.22 % (5560)Memory used [KB]: 30575
% 46.38/6.22 % (5560)Time elapsed: 4.441 s
% 46.38/6.22 % (5560)Instructions burned: 2683 (million)
% 46.38/6.22 % (5560)------------------------------
% 46.38/6.22 % (5560)------------------------------
% 46.73/6.27 % (5650)Instruction limit reached!
% 46.73/6.27 % (5650)------------------------------
% 46.73/6.27 % (5650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 46.73/6.28 % (5611)Instruction limit reached!
% 46.73/6.28 % (5611)------------------------------
% 46.73/6.28 % (5611)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 46.73/6.29 % (5653)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)
% 46.73/6.29 % (5650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 46.73/6.29 % (5650)Termination reason: Unknown
% 46.73/6.29 % (5650)Termination phase: Saturation
% 46.73/6.29
% 46.73/6.29 % (5650)Memory used [KB]: 8187
% 46.73/6.29 % (5650)Time elapsed: 0.320 s
% 46.73/6.29 % (5650)Instructions burned: 156 (million)
% 46.73/6.29 % (5650)------------------------------
% 46.73/6.29 % (5650)------------------------------
% 46.73/6.29 % (5654)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 (2941ds/2772Mi)
% 46.73/6.29 % (5611)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 46.73/6.29 % (5611)Termination reason: Unknown
% 46.73/6.29 % (5611)Termination phase: Saturation
% 46.73/6.29
% 46.73/6.29 % (5611)Memory used [KB]: 43112
% 46.73/6.29 % (5611)Time elapsed: 2.393 s
% 46.73/6.29 % (5611)Instructions burned: 1341 (million)
% 46.73/6.29 % (5611)------------------------------
% 46.73/6.29 % (5611)------------------------------
% 47.24/6.31 % (5638)Instruction limit reached!
% 47.24/6.31 % (5638)------------------------------
% 47.24/6.31 % (5638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 47.24/6.34 % (5638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 47.24/6.34 % (5638)Termination reason: Unknown
% 47.24/6.34 % (5638)Termination phase: Saturation
% 47.24/6.34
% 47.24/6.34 % (5638)Memory used [KB]: 12025
% 47.24/6.34 % (5638)Time elapsed: 0.894 s
% 47.24/6.34 % (5638)Instructions burned: 471 (million)
% 47.24/6.34 % (5638)------------------------------
% 47.24/6.34 % (5638)------------------------------
% 47.64/6.37 % (5643)Instruction limit reached!
% 47.64/6.37 % (5643)------------------------------
% 47.64/6.37 % (5643)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 47.64/6.37 % (5643)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 47.64/6.37 % (5643)Termination reason: Unknown
% 47.64/6.37 % (5643)Termination phase: Saturation
% 47.64/6.37
% 47.64/6.37 % (5643)Memory used [KB]: 10234
% 47.64/6.37 % (5643)Time elapsed: 0.748 s
% 47.64/6.37 % (5643)Instructions burned: 370 (million)
% 47.64/6.37 % (5643)------------------------------
% 47.64/6.37 % (5643)------------------------------
% 47.64/6.37 % (5640)Instruction limit reached!
% 47.64/6.37 % (5640)------------------------------
% 47.64/6.37 % (5640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 47.64/6.37 % (5655)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)
% 47.64/6.39 % (5640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 47.64/6.39 % (5640)Termination reason: Unknown
% 47.64/6.39 % (5640)Termination phase: Saturation
% 47.64/6.39
% 47.64/6.39 % (5640)Memory used [KB]: 12025
% 47.64/6.39 % (5640)Time elapsed: 0.823 s
% 47.64/6.39 % (5640)Instructions burned: 453 (million)
% 47.64/6.39 % (5640)------------------------------
% 47.64/6.39 % (5640)------------------------------
% 47.64/6.41 % (5642)Instruction limit reached!
% 47.64/6.41 % (5642)------------------------------
% 47.64/6.41 % (5642)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 47.64/6.41 % (5642)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 47.64/6.41 % (5642)Termination reason: Unknown
% 47.64/6.41 % (5642)Termination phase: Saturation
% 47.64/6.41
% 47.64/6.41 % (5642)Memory used [KB]: 14328
% 47.64/6.41 % (5642)Time elapsed: 0.789 s
% 47.64/6.41 % (5642)Instructions burned: 497 (million)
% 47.64/6.41 % (5642)------------------------------
% 47.64/6.41 % (5642)------------------------------
% 47.64/6.42 % (5656)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)
% 47.64/6.43 % (5657)dis+1011_1:1_fd=preordered:tgt=ground:i=561:si=on:rawr=on:rtra=on_0 on theBenchmark for (2940ds/561Mi)
% 48.21/6.46 % (5658)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 (2939ds/604Mi)
% 48.35/6.49 % (5581)First to succeed.
% 48.35/6.51 % (5660)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 (2939ds/109Mi)
% 48.35/6.52 % (5659)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)
% 48.58/6.53 % (5645)Instruction limit reached!
% 48.58/6.53 % (5645)------------------------------
% 48.58/6.53 % (5645)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 48.58/6.53 % (5645)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 48.58/6.53 % (5645)Termination reason: Unknown
% 48.58/6.53 % (5645)Termination phase: Saturation
% 48.58/6.53
% 48.58/6.53 % (5645)Memory used [KB]: 10618
% 48.58/6.53 % (5645)Time elapsed: 0.797 s
% 48.58/6.53 % (5645)Instructions burned: 401 (million)
% 48.58/6.53 % (5645)------------------------------
% 48.58/6.53 % (5645)------------------------------
% 49.27/6.57 % (5661)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 (2939ds/360Mi)
% 49.27/6.57 % (5581)Refutation found. Thanks to Tanya!
% 49.27/6.57 % SZS status Theorem for theBenchmark
% 49.27/6.57 % SZS output start Proof for theBenchmark
% See solution above
% 49.27/6.59 % (5581)------------------------------
% 49.27/6.59 % (5581)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 49.27/6.59 % (5581)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 49.27/6.59 % (5581)Termination reason: Refutation
% 49.27/6.59
% 49.27/6.59 % (5581)Memory used [KB]: 19445
% 49.27/6.59 % (5581)Time elapsed: 4.029 s
% 49.27/6.59 % (5581)Instructions burned: 2422 (million)
% 49.27/6.59 % (5581)------------------------------
% 49.27/6.59 % (5581)------------------------------
% 49.27/6.59 % (5203)Success in time 6.243 s
%------------------------------------------------------------------------------