TSTP Solution File: SWW587_2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWW587_2 : TPTP v8.1.0. Released v6.1.0.
% 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 : n003.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 19:08:03 EDT 2022
% Result : Theorem 16.21s 2.44s
% Output : Refutation 16.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 418
% Syntax : Number of formulae : 1420 ( 115 unt; 101 typ; 0 def)
% Number of atoms : 4090 ( 441 equ)
% Maximal formula atoms : 90 ( 3 avg)
% Number of connectives : 4542 (1771 ~;1959 |; 290 &)
% ( 304 <=>; 218 =>; 0 <=; 0 <~>)
% Maximal formula depth : 63 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number arithmetic : 499 ( 154 atm; 163 fun; 154 num; 28 var)
% Number of types : 9 ( 7 usr; 1 ari)
% Number of type conns : 146 ( 57 >; 89 *; 0 +; 0 <<)
% Number of predicates : 298 ( 294 usr; 281 prp; 0-7 aty)
% Number of functors : 83 ( 80 usr; 39 con; 0-5 aty)
% Number of variables : 876 ( 819 !; 57 ?; 876 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
uni: $tType ).
tff(type_def_6,type,
ty: $tType ).
tff(type_def_7,type,
bool1: $tType ).
tff(type_def_8,type,
tuple02: $tType ).
tff(type_def_9,type,
vertex1: $tType ).
tff(type_def_10,type,
set_vertex: $tType ).
tff(type_def_11,type,
map_vertex_int: $tType ).
tff(func_def_0,type,
witness1: ty > uni ).
tff(func_def_1,type,
int: ty ).
tff(func_def_2,type,
real: ty ).
tff(func_def_3,type,
bool: ty ).
tff(func_def_4,type,
true1: bool1 ).
tff(func_def_5,type,
false1: bool1 ).
tff(func_def_6,type,
match_bool1: ( ty * bool1 * uni * uni ) > uni ).
tff(func_def_7,type,
tuple0: ty ).
tff(func_def_8,type,
tuple03: tuple02 ).
tff(func_def_9,type,
qtmark: ty ).
tff(func_def_12,type,
ref: ty > ty ).
tff(func_def_13,type,
mk_ref: ( ty * uni ) > uni ).
tff(func_def_14,type,
contents: ( ty * uni ) > uni ).
tff(func_def_15,type,
set: ty > ty ).
tff(func_def_16,type,
empty: ty > uni ).
tff(func_def_17,type,
add: ( ty * uni * uni ) > uni ).
tff(func_def_18,type,
remove: ( ty * uni * uni ) > uni ).
tff(func_def_19,type,
union: ( ty * uni * uni ) > uni ).
tff(func_def_20,type,
inter: ( ty * uni * uni ) > uni ).
tff(func_def_21,type,
diff: ( ty * uni * uni ) > uni ).
tff(func_def_22,type,
choose: ( ty * uni ) > uni ).
tff(func_def_23,type,
cardinal1: ( ty * uni ) > $int ).
tff(func_def_26,type,
map: ( ty * ty ) > ty ).
tff(func_def_27,type,
get: ( ty * ty * uni * uni ) > uni ).
tff(func_def_28,type,
set1: ( ty * ty * uni * uni * uni ) > uni ).
tff(func_def_29,type,
const: ( ty * ty * uni ) > uni ).
tff(func_def_30,type,
vertex: ty ).
tff(func_def_31,type,
v1: set_vertex ).
tff(func_def_32,type,
g_succ1: vertex1 > set_vertex ).
tff(func_def_33,type,
t2tb: set_vertex > uni ).
tff(func_def_34,type,
tb2t: uni > set_vertex ).
tff(func_def_35,type,
weight1: ( vertex1 * vertex1 ) > $int ).
tff(func_def_36,type,
t2tb1: map_vertex_int > uni ).
tff(func_def_37,type,
tb2t1: uni > map_vertex_int ).
tff(func_def_38,type,
t2tb2: vertex1 > uni ).
tff(func_def_39,type,
tb2t2: uni > vertex1 ).
tff(func_def_40,type,
t2tb3: $int > uni ).
tff(func_def_41,type,
tb2t3: uni > $int ).
tff(func_def_44,type,
sK0: vertex1 ).
tff(func_def_45,type,
sK1: vertex1 ).
tff(func_def_46,type,
sK2: map_vertex_int ).
tff(func_def_47,type,
sK3: set_vertex ).
tff(func_def_48,type,
sK4: set_vertex ).
tff(func_def_49,type,
sK5: map_vertex_int ).
tff(func_def_50,type,
sK6: set_vertex ).
tff(func_def_51,type,
sK7: map_vertex_int ).
tff(func_def_52,type,
sK8: set_vertex ).
tff(func_def_53,type,
sK9: bool1 ).
tff(func_def_54,type,
sK10: vertex1 ).
tff(func_def_55,type,
sK11: set_vertex ).
tff(func_def_56,type,
sK12: vertex1 ).
tff(func_def_57,type,
sK13: vertex1 > vertex1 ).
tff(func_def_58,type,
sK14: vertex1 ).
tff(func_def_59,type,
sK15: set_vertex ).
tff(func_def_60,type,
sK16: set_vertex ).
tff(func_def_61,type,
sK17: map_vertex_int ).
tff(func_def_62,type,
sK18: set_vertex ).
tff(func_def_63,type,
sK19: bool1 ).
tff(func_def_64,type,
sK20: vertex1 ).
tff(func_def_65,type,
sK21: set_vertex ).
tff(func_def_66,type,
sK22: vertex1 ).
tff(func_def_67,type,
sK23: vertex1 ).
tff(func_def_68,type,
sK24: set_vertex ).
tff(func_def_69,type,
sK25: map_vertex_int ).
tff(func_def_70,type,
sK26: vertex1 ).
tff(func_def_71,type,
sK29: vertex1 ).
tff(func_def_72,type,
sK30: ( uni * uni * ty ) > uni ).
tff(func_def_73,type,
sK31: ( $int * vertex1 * vertex1 ) > vertex1 ).
tff(func_def_74,type,
sK32: ( $int * vertex1 * vertex1 ) > vertex1 ).
tff(func_def_75,type,
sK33: ( $int * vertex1 * vertex1 ) > vertex1 ).
tff(func_def_76,type,
sK34: ( $int * vertex1 * vertex1 ) > vertex1 ).
tff(func_def_77,type,
sK35: ( $int * vertex1 * vertex1 ) > $int ).
tff(func_def_78,type,
sK36: set_vertex > vertex1 ).
tff(func_def_79,type,
sK37: set_vertex > vertex1 ).
tff(func_def_80,type,
sK38: ( uni * ty ) > uni ).
tff(func_def_81,type,
sK39: ( vertex1 * $int * vertex1 ) > $int ).
tff(func_def_82,type,
sK40: ( uni * uni * ty ) > uni ).
tff(func_def_83,type,
sK41: ( $int * vertex1 * vertex1 ) > $int ).
tff(func_def_84,type,
sK42: ( $int * vertex1 * vertex1 ) > vertex1 ).
tff(func_def_85,type,
sK43: ( vertex1 * $int * vertex1 ) > vertex1 ).
tff(pred_def_1,type,
sort1: ( ty * uni ) > $o ).
tff(pred_def_3,type,
mem: ( ty * uni * uni ) > $o ).
tff(pred_def_4,type,
infix_eqeq: ( ty * uni * uni ) > $o ).
tff(pred_def_5,type,
subset: ( ty * uni * uni ) > $o ).
tff(pred_def_6,type,
is_empty: ( ty * uni ) > $o ).
tff(pred_def_7,type,
min1: ( vertex1 * set_vertex * map_vertex_int ) > $o ).
tff(pred_def_8,type,
path1: ( vertex1 * vertex1 * $int ) > $o ).
tff(pred_def_9,type,
shortest_path1: ( vertex1 * vertex1 * $int ) > $o ).
tff(pred_def_11,type,
inv_src1: ( vertex1 * set_vertex * set_vertex ) > $o ).
tff(pred_def_12,type,
inv1: ( vertex1 * set_vertex * set_vertex * map_vertex_int ) > $o ).
tff(pred_def_13,type,
inv_succ1: ( vertex1 * set_vertex * set_vertex * map_vertex_int ) > $o ).
tff(pred_def_14,type,
inv_succ21: ( vertex1 * set_vertex * set_vertex * map_vertex_int * vertex1 * set_vertex ) > $o ).
tff(pred_def_15,type,
sP27: ( map_vertex_int * set_vertex * vertex1 * map_vertex_int * set_vertex * vertex1 ) > $o ).
tff(pred_def_16,type,
sP28: ( map_vertex_int * set_vertex * vertex1 * map_vertex_int * set_vertex * set_vertex * vertex1 ) > $o ).
tff(f2692,plain,
$false,
inference(avatar_smt_refutation,[],[f413,f417,f421,f425,f432,f436,f440,f453,f457,f464,f468,f476,f480,f481,f485,f492,f493,f497,f501,f502,f506,f510,f514,f518,f523,f527,f528,f532,f537,f544,f548,f552,f556,f557,f561,f563,f570,f571,f575,f576,f580,f584,f586,f590,f591,f595,f596,f602,f605,f612,f616,f621,f626,f634,f637,f644,f646,f650,f658,f675,f690,f707,f714,f721,f725,f726,f730,f737,f741,f745,f755,f760,f791,f797,f803,f821,f827,f840,f848,f854,f859,f865,f874,f882,f910,f917,f928,f943,f957,f965,f970,f975,f983,f985,f989,f991,f997,f999,f1007,f1012,f1013,f1019,f1026,f1061,f1069,f1083,f1100,f1113,f1115,f1119,f1168,f1177,f1191,f1199,f1221,f1229,f1236,f1240,f1242,f1250,f1251,f1252,f1253,f1259,f1277,f1278,f1288,f1293,f1294,f1360,f1364,f1371,f1378,f1399,f1400,f1406,f1419,f1434,f1559,f1564,f1571,f1594,f1612,f1619,f1635,f1639,f1643,f1647,f1655,f1659,f1660,f1667,f1675,f1679,f1683,f1691,f1695,f1705,f1713,f1717,f1721,f1731,f1739,f1743,f1754,f1772,f1776,f1783,f1787,f1795,f1799,f1807,f1811,f1816,f1821,f1852,f1879,f1883,f1890,f1891,f1899,f1901,f1931,f1938,f1946,f1949,f1952,f1994,f2004,f2007,f2014,f2021,f2025,f2029,f2033,f2037,f2041,f2048,f2052,f2053,f2056,f2060,f2067,f2071,f2075,f2079,f2083,f2084,f2093,f2094,f2095,f2113,f2119,f2143,f2148,f2153,f2156,f2159,f2163,f2167,f2168,f2170,f2173,f2176,f2190,f2194,f2205,f2209,f2213,f2217,f2221,f2223,f2229,f2244,f2252,f2256,f2265,f2269,f2289,f2297,f2303,f2309,f2310,f2312,f2314,f2322,f2323,f2339,f2349,f2353,f2354,f2358,f2359,f2360,f2361,f2375,f2379,f2383,f2387,f2391,f2398,f2399,f2414,f2419,f2443,f2447,f2452,f2467,f2482,f2486,f2490,f2493,f2561,f2568,f2573,f2580,f2588,f2592,f2596,f2600,f2604,f2609,f2619,f2624,f2626,f2629,f2633,f2638,f2640,f2641,f2642,f2646,f2647,f2648,f2677,f2685,f2690]) ).
tff(f2690,plain,
( spl44_23
| ~ spl44_34
| spl44_52
| ~ spl44_98
| spl44_280 ),
inference(avatar_contradiction_clause,[],[f2689]) ).
tff(f2689,plain,
( $false
| spl44_23
| ~ spl44_34
| spl44_52
| ~ spl44_98
| spl44_280 ),
inference(subsumption_resolution,[],[f2688,f384]) ).
tff(f384,plain,
! [X0: vertex1] : sort1(vertex,t2tb2(X0)),
inference(cnf_transformation,[],[f149]) ).
tff(f149,plain,
! [X0: vertex1] : sort1(vertex,t2tb2(X0)),
inference(rectify,[],[f58]) ).
tff(f58,axiom,
! [X1: vertex1] : sort1(vertex,t2tb2(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort2) ).
tff(f2688,plain,
( ~ sort1(vertex,t2tb2(sK29))
| spl44_23
| ~ spl44_34
| spl44_52
| ~ spl44_98
| spl44_280 ),
inference(subsumption_resolution,[],[f2687,f496]) ).
tff(f496,plain,
( ~ mem(vertex,t2tb2(sK29),t2tb(sK15))
| spl44_23 ),
inference(avatar_component_clause,[],[f495]) ).
tff(f495,plain,
( spl44_23
<=> mem(vertex,t2tb2(sK29),t2tb(sK15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_23])]) ).
tff(f2687,plain,
( mem(vertex,t2tb2(sK29),t2tb(sK15))
| ~ sort1(vertex,t2tb2(sK29))
| ~ spl44_34
| spl44_52
| ~ spl44_98
| spl44_280 ),
inference(subsumption_resolution,[],[f2686,f982]) ).
tff(f982,plain,
( mem(vertex,t2tb2(sK29),t2tb(g_succ1(sK12)))
| ~ spl44_98 ),
inference(avatar_component_clause,[],[f981]) ).
tff(f981,plain,
( spl44_98
<=> mem(vertex,t2tb2(sK29),t2tb(g_succ1(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_98])]) ).
tff(f2686,plain,
( ~ mem(vertex,t2tb2(sK29),t2tb(g_succ1(sK12)))
| ~ sort1(vertex,t2tb2(sK29))
| mem(vertex,t2tb2(sK29),t2tb(sK15))
| ~ spl44_34
| spl44_52
| spl44_280 ),
inference(subsumption_resolution,[],[f2681,f643]) ).
tff(f643,plain,
( ~ mem(vertex,t2tb2(sK29),t2tb(sK16))
| spl44_52 ),
inference(avatar_component_clause,[],[f642]) ).
tff(f642,plain,
( spl44_52
<=> mem(vertex,t2tb2(sK29),t2tb(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_52])]) ).
tff(f2681,plain,
( mem(vertex,t2tb2(sK29),t2tb(sK16))
| ~ mem(vertex,t2tb2(sK29),t2tb(g_succ1(sK12)))
| ~ sort1(vertex,t2tb2(sK29))
| mem(vertex,t2tb2(sK29),t2tb(sK15))
| ~ spl44_34
| spl44_280 ),
inference(resolution,[],[f2676,f1101]) ).
tff(f1101,plain,
( ! [X0: uni] :
( mem(vertex,X0,t2tb(sK18))
| ~ sort1(vertex,X0)
| mem(vertex,X0,t2tb(sK16))
| mem(vertex,X0,t2tb(sK15))
| ~ mem(vertex,X0,t2tb(g_succ1(sK12))) )
| ~ spl44_34 ),
inference(superposition,[],[f1021,f342]) ).
tff(f342,plain,
! [X0: ty,X1: uni] :
( ( contents(X0,mk_ref(X0,X1)) = X1 )
| ~ sort1(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
tff(f213,plain,
! [X0: ty,X1: uni] :
( ~ sort1(X0,X1)
| ( contents(X0,mk_ref(X0,X1)) = X1 ) ),
inference(ennf_transformation,[],[f108]) ).
tff(f108,plain,
! [X1: uni,X0: ty] :
( sort1(X0,X1)
=> ( contents(X0,mk_ref(X0,X1)) = X1 ) ),
inference(rectify,[],[f11]) ).
tff(f11,axiom,
! [X0: ty,X6: uni] :
( sort1(X0,X6)
=> ( contents(X0,mk_ref(X0,X6)) = X6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',contents_def1) ).
tff(f1021,plain,
( ! [X0: uni] :
( mem(vertex,contents(vertex,X0),t2tb(sK18))
| mem(vertex,contents(vertex,X0),t2tb(sK15))
| mem(vertex,contents(vertex,X0),t2tb(sK16))
| ~ mem(vertex,contents(vertex,X0),t2tb(g_succ1(sK12))) )
| ~ spl44_34 ),
inference(superposition,[],[f543,f683]) ).
tff(f683,plain,
! [X4: uni] : ( contents(vertex,X4) = t2tb2(tb2t2(contents(vertex,X4))) ),
inference(resolution,[],[f399,f299]) ).
tff(f299,plain,
! [X0: ty,X1: uni] : sort1(X0,contents(X0,X1)),
inference(cnf_transformation,[],[f10]) ).
tff(f10,axiom,
! [X0: ty,X1: uni] : sort1(X0,contents(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',contents_sort1) ).
tff(f399,plain,
! [X0: uni] :
( ~ sort1(vertex,X0)
| ( t2tb2(tb2t2(X0)) = X0 ) ),
inference(cnf_transformation,[],[f166]) ).
tff(f166,plain,
! [X0: uni] :
( ( t2tb2(tb2t2(X0)) = X0 )
| ~ sort1(vertex,X0) ),
inference(ennf_transformation,[],[f162]) ).
tff(f162,plain,
! [X0: uni] :
( sort1(vertex,X0)
=> ( t2tb2(tb2t2(X0)) = X0 ) ),
inference(rectify,[],[f60]) ).
tff(f60,axiom,
! [X18: uni] :
( sort1(vertex,X18)
=> ( t2tb2(tb2t2(X18)) = X18 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR2) ).
tff(f543,plain,
( ! [X34: vertex1] :
( mem(vertex,t2tb2(X34),t2tb(sK18))
| mem(vertex,t2tb2(X34),t2tb(sK15))
| mem(vertex,t2tb2(X34),t2tb(sK16))
| ~ mem(vertex,t2tb2(X34),t2tb(g_succ1(sK12))) )
| ~ spl44_34 ),
inference(avatar_component_clause,[],[f542]) ).
tff(f542,plain,
( spl44_34
<=> ! [X34: vertex1] :
( ~ mem(vertex,t2tb2(X34),t2tb(g_succ1(sK12)))
| mem(vertex,t2tb2(X34),t2tb(sK16))
| mem(vertex,t2tb2(X34),t2tb(sK15))
| mem(vertex,t2tb2(X34),t2tb(sK18)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_34])]) ).
tff(f2676,plain,
( ~ mem(vertex,t2tb2(sK29),t2tb(sK18))
| spl44_280 ),
inference(avatar_component_clause,[],[f2675]) ).
tff(f2675,plain,
( spl44_280
<=> mem(vertex,t2tb2(sK29),t2tb(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_280])]) ).
tff(f2685,plain,
( spl44_23
| ~ spl44_34
| spl44_52
| ~ spl44_98
| spl44_280 ),
inference(avatar_contradiction_clause,[],[f2684]) ).
tff(f2684,plain,
( $false
| spl44_23
| ~ spl44_34
| spl44_52
| ~ spl44_98
| spl44_280 ),
inference(subsumption_resolution,[],[f2683,f643]) ).
tff(f2683,plain,
( mem(vertex,t2tb2(sK29),t2tb(sK16))
| spl44_23
| ~ spl44_34
| ~ spl44_98
| spl44_280 ),
inference(subsumption_resolution,[],[f2682,f496]) ).
tff(f2682,plain,
( mem(vertex,t2tb2(sK29),t2tb(sK15))
| mem(vertex,t2tb2(sK29),t2tb(sK16))
| ~ spl44_34
| ~ spl44_98
| spl44_280 ),
inference(subsumption_resolution,[],[f2679,f982]) ).
tff(f2679,plain,
( ~ mem(vertex,t2tb2(sK29),t2tb(g_succ1(sK12)))
| mem(vertex,t2tb2(sK29),t2tb(sK15))
| mem(vertex,t2tb2(sK29),t2tb(sK16))
| ~ spl44_34
| spl44_280 ),
inference(resolution,[],[f2676,f543]) ).
tff(f2677,plain,
( spl44_279
| ~ spl44_280
| spl44_102 ),
inference(avatar_split_clause,[],[f2670,f1017,f2675,f2672]) ).
tff(f2672,plain,
( spl44_279
<=> ( t2tb2(sK20) = t2tb2(sK29) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_279])]) ).
tff(f1017,plain,
( spl44_102
<=> mem(vertex,t2tb2(sK29),remove(vertex,t2tb2(sK20),t2tb(sK18))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_102])]) ).
tff(f2670,plain,
( ~ mem(vertex,t2tb2(sK29),t2tb(sK18))
| ( t2tb2(sK20) = t2tb2(sK29) )
| spl44_102 ),
inference(subsumption_resolution,[],[f2669,f384]) ).
tff(f2669,plain,
( ( t2tb2(sK20) = t2tb2(sK29) )
| ~ sort1(vertex,t2tb2(sK29))
| ~ mem(vertex,t2tb2(sK29),t2tb(sK18))
| spl44_102 ),
inference(subsumption_resolution,[],[f2662,f384]) ).
tff(f2662,plain,
( ( t2tb2(sK20) = t2tb2(sK29) )
| ~ sort1(vertex,t2tb2(sK20))
| ~ sort1(vertex,t2tb2(sK29))
| ~ mem(vertex,t2tb2(sK29),t2tb(sK18))
| spl44_102 ),
inference(resolution,[],[f358,f1018]) ).
tff(f1018,plain,
( ~ mem(vertex,t2tb2(sK29),remove(vertex,t2tb2(sK20),t2tb(sK18)))
| spl44_102 ),
inference(avatar_component_clause,[],[f1017]) ).
tff(f358,plain,
! [X2: uni,X3: uni,X0: ty,X1: uni] :
( mem(X0,X2,remove(X0,X3,X1))
| ~ sort1(X0,X3)
| ~ mem(X0,X2,X1)
| ~ sort1(X0,X2)
| ( X2 = X3 ) ),
inference(cnf_transformation,[],[f201]) ).
tff(f201,plain,
! [X1: uni,X0: ty,X3: uni,X2: uni] :
( ~ sort1(X0,X2)
| ~ sort1(X0,X3)
| ( mem(X0,X2,remove(X0,X3,X1))
<=> ( mem(X0,X2,X1)
& ( X2 != X3 ) ) ) ),
inference(flattening,[],[f200]) ).
tff(f200,plain,
! [X1: uni,X2: uni,X0: ty,X3: uni] :
( ( mem(X0,X2,remove(X0,X3,X1))
<=> ( mem(X0,X2,X1)
& ( X2 != X3 ) ) )
| ~ sort1(X0,X3)
| ~ sort1(X0,X2) ),
inference(ennf_transformation,[],[f97]) ).
tff(f97,plain,
! [X1: uni,X2: uni,X0: ty,X3: uni] :
( sort1(X0,X2)
=> ( sort1(X0,X3)
=> ( mem(X0,X2,remove(X0,X3,X1))
<=> ( mem(X0,X2,X1)
& ( X2 != X3 ) ) ) ) ),
inference(rectify,[],[f25]) ).
tff(f25,axiom,
! [X0: ty,X10: uni,X1: uni,X7: uni] :
( sort1(X0,X1)
=> ( sort1(X0,X7)
=> ( mem(X0,X1,remove(X0,X7,X10))
<=> ( mem(X0,X1,X10)
& ( X1 != X7 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',remove_def1) ).
tff(f2648,plain,
( spl44_262
| ~ spl44_156
| ~ spl44_158 ),
inference(avatar_split_clause,[],[f2537,f1703,f1689,f2571]) ).
tff(f2571,plain,
( spl44_262
<=> shortest_path1(sK0,tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex)),tb2t3(get(int,vertex,t2tb1(sK17),sK40(t2tb(sK15),t2tb(sK3),vertex)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_262])]) ).
tff(f1689,plain,
( spl44_156
<=> mem(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex),t2tb(sK15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_156])]) ).
tff(f1703,plain,
( spl44_158
<=> ( t2tb2(tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex))) = sK40(t2tb(sK15),t2tb(sK3),vertex) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_158])]) ).
tff(f2537,plain,
( ~ mem(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex),t2tb(sK15))
| shortest_path1(sK0,tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex)),tb2t3(get(int,vertex,t2tb1(sK17),sK40(t2tb(sK15),t2tb(sK3),vertex))))
| ~ spl44_158 ),
inference(superposition,[],[f261,f1704]) ).
tff(f1704,plain,
( ( t2tb2(tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex))) = sK40(t2tb(sK15),t2tb(sK3),vertex) )
| ~ spl44_158 ),
inference(avatar_component_clause,[],[f1703]) ).
tff(f261,plain,
! [X32: vertex1] :
( ~ mem(vertex,t2tb2(X32),t2tb(sK15))
| shortest_path1(sK0,X32,tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(X32)))) ),
inference(cnf_transformation,[],[f181]) ).
tff(f181,plain,
? [X1: vertex1,X2: vertex1,X0: map_vertex_int] :
( mem(vertex,t2tb2(X1),t2tb(v1))
& ? [X4: set_vertex,X3: set_vertex,X5: map_vertex_int] :
( ? [X8: set_vertex,X7: map_vertex_int,X9: set_vertex] :
( ! [X14: vertex1] :
( ! [X16: $int,X17: vertex1] :
( mem(vertex,t2tb2(X17),t2tb(X9))
| ~ $less(X16,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X14))))
| ~ path1(X1,X17,X16) )
| ~ mem(vertex,t2tb2(X14),t2tb(X8))
| ? [X15: vertex1] :
( $less(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X15))),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X14))))
& mem(vertex,t2tb2(X15),t2tb(X8)) ) )
& ! [X13: vertex1] :
( path1(X1,X13,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X13))))
| ~ mem(vertex,t2tb2(X13),t2tb(X8)) )
& ( 0 = tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X1))) )
& ! [X18: vertex1] :
( shortest_path1(X1,X18,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X18))))
| ~ mem(vertex,t2tb2(X18),t2tb(X9)) )
& subset(vertex,t2tb(X9),t2tb(v1))
& inv_src1(X1,X9,X8)
& subset(vertex,t2tb(X8),t2tb(v1))
& ? [X19: bool1] :
( ? [X22: set_vertex,X23: vertex1] :
( ( tb2t(remove(vertex,t2tb2(X23),t2tb(X8))) = X22 )
& ! [X24: vertex1] :
( ~ mem(vertex,t2tb2(X24),t2tb(X8))
| ~ $less(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X24))),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X23)))) )
& ! [X25: $int] :
( ~ path1(X1,X23,X25)
| ~ $less(X25,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X23)))) )
& path1(X1,X23,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X23))))
& mem(vertex,t2tb2(X23),t2tb(X8))
& ? [X26: set_vertex] :
( ( tb2t(add(vertex,t2tb2(X23),t2tb(X9))) = X26 )
& ? [X28: set_vertex,X29: map_vertex_int,X27: set_vertex] :
( ! [X30: vertex1] :
( mem(vertex,t2tb2(X30),t2tb(g_succ1(X23)))
| ~ mem(vertex,t2tb2(X30),t2tb(X27)) )
& inv_src1(X1,X26,X28)
& ! [X33: vertex1] :
( ~ mem(vertex,t2tb2(X33),t2tb(X26))
| ! [X34: vertex1] :
( ( ~ $less($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X33))),weight1(X33,X34)),tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X34))))
& ( mem(vertex,t2tb2(X34),t2tb(X28))
| mem(vertex,t2tb2(X34),t2tb(X26)) ) )
| ( ( X23 = X33 )
& ( mem(vertex,t2tb2(X34),t2tb(X27))
| ( X23 != X33 ) ) )
| ~ mem(vertex,t2tb2(X34),t2tb(g_succ1(X33))) ) )
& subset(vertex,t2tb(X26),t2tb(v1))
& ! [X32: vertex1] :
( shortest_path1(X1,X32,tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X32))))
| ~ mem(vertex,t2tb2(X32),t2tb(X26)) )
& subset(vertex,t2tb(X28),t2tb(v1))
& ! [X31: vertex1] :
( ~ mem(vertex,t2tb2(X31),t2tb(X28))
| path1(X1,X31,tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X31)))) )
& ! [X35: vertex1] :
( ~ mem(vertex,t2tb2(X35),t2tb(X28))
| $false
| ~ mem(vertex,t2tb2(X35),t2tb(X26)) )
& ? [X36: bool1] :
( ( ? [X37: vertex1] : mem(vertex,t2tb2(X37),t2tb(X27))
<=> ( true1 = X36 ) )
& ( true1 = X36 )
& ? [X38: vertex1] : mem(vertex,t2tb2(X38),t2tb(X27))
& ? [X39: vertex1,X40: set_vertex] :
( ( tb2t(remove(vertex,t2tb2(X39),t2tb(X27))) = X40 )
& ? [X41: set_vertex,X42: map_vertex_int] :
( ? [X43: vertex1] :
( mem(vertex,t2tb2(X43),t2tb(X26))
& ? [X44: vertex1] :
( ~ mem(vertex,t2tb2(X44),t2tb(X26))
& ( ( X23 != X43 )
| ( ( X23 = X43 )
& ~ mem(vertex,t2tb2(X44),t2tb(X40)) ) )
& ~ mem(vertex,t2tb2(X44),t2tb(X41))
& mem(vertex,t2tb2(X44),t2tb(g_succ1(X43))) ) )
& ( ( ( tb2t(add(vertex,t2tb2(X39),t2tb(X28))) = X41 )
& ~ mem(vertex,t2tb2(X39),t2tb(X26))
& ~ mem(vertex,t2tb2(X39),t2tb(X28))
& ( tb2t1(set1(int,vertex,t2tb1(X29),t2tb2(X39),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X39))))) = X42 ) )
| ( ( tb2t1(set1(int,vertex,t2tb1(X29),t2tb2(X39),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X39))))) = X42 )
& mem(vertex,t2tb2(X39),t2tb(X41))
& $less($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X39)),tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X39))))
& ( X28 = X41 ) )
| ( mem(vertex,t2tb2(X39),t2tb(X26))
& ( X29 = X42 )
& ( X28 = X41 ) )
| ( ~ $less($sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X39)),tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X39))))
& ( X28 = X41 )
& mem(vertex,t2tb2(X39),t2tb(X41))
& ( X29 = X42 ) ) )
& ( $less(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X39))),$sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X39)))
| ( $sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X39)) = tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X39))) ) ) )
& mem(vertex,t2tb2(X39),t2tb(X27)) ) )
& ( 0 = tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X1))) ) ) ) )
& ? [X21: vertex1] : mem(vertex,t2tb2(X21),t2tb(X8))
& ( true1 != X19 )
& ( ( true1 = X19 )
<=> ! [X20: vertex1] : ~ mem(vertex,t2tb2(X20),t2tb(X8)) ) )
& ! [X10: vertex1] :
( ~ mem(vertex,t2tb2(X10),t2tb(X9))
| ! [X11: vertex1] :
( ~ mem(vertex,t2tb2(X11),t2tb(g_succ1(X10)))
| ( ( mem(vertex,t2tb2(X11),t2tb(X8))
| mem(vertex,t2tb2(X11),t2tb(X9)) )
& ~ $less($sum(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X10))),weight1(X10,X11)),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) ) ) )
& ! [X12: vertex1] :
( ~ mem(vertex,t2tb2(X12),t2tb(X9))
| ~ mem(vertex,t2tb2(X12),t2tb(X8))
| $false ) )
& ( tb2t(add(vertex,t2tb2(X1),empty(vertex))) = X3 )
& ( tb2t1(set1(int,vertex,t2tb1(X0),t2tb2(X1),t2tb3(0))) = X5 )
& ! [X6: vertex1] : ~ mem(vertex,t2tb2(X6),t2tb(X4)) )
& mem(vertex,t2tb2(X2),t2tb(v1)) ),
inference(flattening,[],[f180]) ).
tff(f180,plain,
? [X2: vertex1,X0: map_vertex_int,X1: vertex1] :
( ? [X4: set_vertex,X5: map_vertex_int,X3: set_vertex] :
( ? [X8: set_vertex,X7: map_vertex_int,X9: set_vertex] :
( ? [X19: bool1] :
( ? [X23: vertex1,X22: set_vertex] :
( ? [X26: set_vertex] :
( ? [X28: set_vertex,X29: map_vertex_int,X27: set_vertex] :
( ? [X36: bool1] :
( ? [X40: set_vertex,X39: vertex1] :
( ? [X42: map_vertex_int,X41: set_vertex] :
( ? [X43: vertex1] :
( ? [X44: vertex1] :
( ~ mem(vertex,t2tb2(X44),t2tb(X41))
& ~ mem(vertex,t2tb2(X44),t2tb(X26))
& ( ( X23 != X43 )
| ( ( X23 = X43 )
& ~ mem(vertex,t2tb2(X44),t2tb(X40)) ) )
& mem(vertex,t2tb2(X44),t2tb(g_succ1(X43))) )
& mem(vertex,t2tb2(X43),t2tb(X26)) )
& ( $less(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X39))),$sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X39)))
| ( $sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X39)) = tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X39))) ) )
& ( ( ( tb2t(add(vertex,t2tb2(X39),t2tb(X28))) = X41 )
& ~ mem(vertex,t2tb2(X39),t2tb(X26))
& ~ mem(vertex,t2tb2(X39),t2tb(X28))
& ( tb2t1(set1(int,vertex,t2tb1(X29),t2tb2(X39),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X39))))) = X42 ) )
| ( ( tb2t1(set1(int,vertex,t2tb1(X29),t2tb2(X39),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X39))))) = X42 )
& mem(vertex,t2tb2(X39),t2tb(X41))
& $less($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X39)),tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X39))))
& ( X28 = X41 ) )
| ( mem(vertex,t2tb2(X39),t2tb(X26))
& ( X29 = X42 )
& ( X28 = X41 ) )
| ( ~ $less($sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X39)),tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X39))))
& ( X28 = X41 )
& mem(vertex,t2tb2(X39),t2tb(X41))
& ( X29 = X42 ) ) ) )
& ( tb2t(remove(vertex,t2tb2(X39),t2tb(X27))) = X40 )
& mem(vertex,t2tb2(X39),t2tb(X27)) )
& ? [X38: vertex1] : mem(vertex,t2tb2(X38),t2tb(X27))
& ( true1 = X36 )
& ( ? [X37: vertex1] : mem(vertex,t2tb2(X37),t2tb(X27))
<=> ( true1 = X36 ) ) )
& ! [X35: vertex1] :
( $false
| ~ mem(vertex,t2tb2(X35),t2tb(X26))
| ~ mem(vertex,t2tb2(X35),t2tb(X28)) )
& ! [X32: vertex1] :
( shortest_path1(X1,X32,tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X32))))
| ~ mem(vertex,t2tb2(X32),t2tb(X26)) )
& ! [X31: vertex1] :
( ~ mem(vertex,t2tb2(X31),t2tb(X28))
| path1(X1,X31,tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X31)))) )
& ! [X30: vertex1] :
( mem(vertex,t2tb2(X30),t2tb(g_succ1(X23)))
| ~ mem(vertex,t2tb2(X30),t2tb(X27)) )
& subset(vertex,t2tb(X28),t2tb(v1))
& ( 0 = tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X1))) )
& subset(vertex,t2tb(X26),t2tb(v1))
& ! [X33: vertex1] :
( ! [X34: vertex1] :
( ( ~ $less($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X33))),weight1(X33,X34)),tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X34))))
& ( mem(vertex,t2tb2(X34),t2tb(X28))
| mem(vertex,t2tb2(X34),t2tb(X26)) ) )
| ( ( X23 = X33 )
& ( mem(vertex,t2tb2(X34),t2tb(X27))
| ( X23 != X33 ) ) )
| ~ mem(vertex,t2tb2(X34),t2tb(g_succ1(X33))) )
| ~ mem(vertex,t2tb2(X33),t2tb(X26)) )
& inv_src1(X1,X26,X28) )
& ( tb2t(add(vertex,t2tb2(X23),t2tb(X9))) = X26 ) )
& ! [X25: $int] :
( ~ path1(X1,X23,X25)
| ~ $less(X25,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X23)))) )
& path1(X1,X23,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X23))))
& ( tb2t(remove(vertex,t2tb2(X23),t2tb(X8))) = X22 )
& mem(vertex,t2tb2(X23),t2tb(X8))
& ! [X24: vertex1] :
( ~ mem(vertex,t2tb2(X24),t2tb(X8))
| ~ $less(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X24))),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X23)))) ) )
& ? [X21: vertex1] : mem(vertex,t2tb2(X21),t2tb(X8))
& ( true1 != X19 )
& ( ( true1 = X19 )
<=> ! [X20: vertex1] : ~ mem(vertex,t2tb2(X20),t2tb(X8)) ) )
& ! [X13: vertex1] :
( path1(X1,X13,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X13))))
| ~ mem(vertex,t2tb2(X13),t2tb(X8)) )
& ! [X12: vertex1] :
( $false
| ~ mem(vertex,t2tb2(X12),t2tb(X9))
| ~ mem(vertex,t2tb2(X12),t2tb(X8)) )
& ! [X10: vertex1] :
( ~ mem(vertex,t2tb2(X10),t2tb(X9))
| ! [X11: vertex1] :
( ~ mem(vertex,t2tb2(X11),t2tb(g_succ1(X10)))
| ( ( mem(vertex,t2tb2(X11),t2tb(X8))
| mem(vertex,t2tb2(X11),t2tb(X9)) )
& ~ $less($sum(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X10))),weight1(X10,X11)),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) ) ) )
& ! [X14: vertex1] :
( ! [X17: vertex1,X16: $int] :
( mem(vertex,t2tb2(X17),t2tb(X9))
| ~ $less(X16,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X14))))
| ~ path1(X1,X17,X16) )
| ~ mem(vertex,t2tb2(X14),t2tb(X8))
| ? [X15: vertex1] :
( $less(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X15))),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X14))))
& mem(vertex,t2tb2(X15),t2tb(X8)) ) )
& ( 0 = tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X1))) )
& subset(vertex,t2tb(X9),t2tb(v1))
& ! [X18: vertex1] :
( shortest_path1(X1,X18,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X18))))
| ~ mem(vertex,t2tb2(X18),t2tb(X9)) )
& subset(vertex,t2tb(X8),t2tb(v1))
& inv_src1(X1,X9,X8) )
& ! [X6: vertex1] : ~ mem(vertex,t2tb2(X6),t2tb(X4))
& ( tb2t(add(vertex,t2tb2(X1),empty(vertex))) = X3 )
& ( tb2t1(set1(int,vertex,t2tb1(X0),t2tb2(X1),t2tb3(0))) = X5 ) )
& mem(vertex,t2tb2(X2),t2tb(v1))
& mem(vertex,t2tb2(X1),t2tb(v1)) ),
inference(ennf_transformation,[],[f122]) ).
tff(f122,plain,
~ ! [X2: vertex1,X0: map_vertex_int,X1: vertex1] :
( ( mem(vertex,t2tb2(X2),t2tb(v1))
& mem(vertex,t2tb2(X1),t2tb(v1)) )
=> ! [X4: set_vertex,X5: map_vertex_int,X3: set_vertex] :
( ( ! [X6: vertex1] : ~ mem(vertex,t2tb2(X6),t2tb(X4))
& ( tb2t(add(vertex,t2tb2(X1),empty(vertex))) = X3 )
& ( tb2t1(set1(int,vertex,t2tb1(X0),t2tb2(X1),t2tb3(0))) = X5 ) )
=> ! [X8: set_vertex,X7: map_vertex_int,X9: set_vertex] :
( ( ! [X13: vertex1] :
( mem(vertex,t2tb2(X13),t2tb(X8))
=> path1(X1,X13,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X13)))) )
& ! [X12: vertex1] :
( mem(vertex,t2tb2(X12),t2tb(X8))
=> ( mem(vertex,t2tb2(X12),t2tb(X9))
=> $false ) )
& ! [X10: vertex1] :
( mem(vertex,t2tb2(X10),t2tb(X9))
=> ! [X11: vertex1] :
( mem(vertex,t2tb2(X11),t2tb(g_succ1(X10)))
=> ( ( mem(vertex,t2tb2(X11),t2tb(X8))
| mem(vertex,t2tb2(X11),t2tb(X9)) )
& ~ $less($sum(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X10))),weight1(X10,X11)),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X11)))) ) ) )
& ! [X14: vertex1] :
( ( mem(vertex,t2tb2(X14),t2tb(X8))
& ! [X15: vertex1] :
( mem(vertex,t2tb2(X15),t2tb(X8))
=> ~ $less(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X15))),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X14)))) ) )
=> ! [X17: vertex1,X16: $int] :
( path1(X1,X17,X16)
=> ( $less(X16,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X14))))
=> mem(vertex,t2tb2(X17),t2tb(X9)) ) ) )
& ( 0 = tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X1))) )
& subset(vertex,t2tb(X9),t2tb(v1))
& ! [X18: vertex1] :
( mem(vertex,t2tb2(X18),t2tb(X9))
=> shortest_path1(X1,X18,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X18)))) )
& subset(vertex,t2tb(X8),t2tb(v1))
& inv_src1(X1,X9,X8) )
=> ! [X19: bool1] :
( ( ( true1 = X19 )
<=> ! [X20: vertex1] : ~ mem(vertex,t2tb2(X20),t2tb(X8)) )
=> ( ( true1 != X19 )
=> ( ~ ! [X21: vertex1] : ~ mem(vertex,t2tb2(X21),t2tb(X8))
=> ! [X23: vertex1,X22: set_vertex] :
( ( ( tb2t(remove(vertex,t2tb2(X23),t2tb(X8))) = X22 )
& mem(vertex,t2tb2(X23),t2tb(X8))
& ! [X24: vertex1] :
( mem(vertex,t2tb2(X24),t2tb(X8))
=> ~ $less(tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X24))),tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X23)))) ) )
=> ( ( ! [X25: $int] :
( path1(X1,X23,X25)
=> ~ $less(X25,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X23)))) )
& path1(X1,X23,tb2t3(get(int,vertex,t2tb1(X7),t2tb2(X23)))) )
=> ! [X26: set_vertex] :
( ( tb2t(add(vertex,t2tb2(X23),t2tb(X9))) = X26 )
=> ! [X28: set_vertex,X29: map_vertex_int,X27: set_vertex] :
( ( ! [X35: vertex1] :
( mem(vertex,t2tb2(X35),t2tb(X28))
=> ( mem(vertex,t2tb2(X35),t2tb(X26))
=> $false ) )
& ! [X32: vertex1] :
( mem(vertex,t2tb2(X32),t2tb(X26))
=> shortest_path1(X1,X32,tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X32)))) )
& ! [X31: vertex1] :
( mem(vertex,t2tb2(X31),t2tb(X28))
=> path1(X1,X31,tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X31)))) )
& ! [X30: vertex1] :
( mem(vertex,t2tb2(X30),t2tb(X27))
=> mem(vertex,t2tb2(X30),t2tb(g_succ1(X23))) )
& subset(vertex,t2tb(X28),t2tb(v1))
& ( 0 = tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X1))) )
& subset(vertex,t2tb(X26),t2tb(v1))
& ! [X33: vertex1] :
( mem(vertex,t2tb2(X33),t2tb(X26))
=> ! [X34: vertex1] :
( mem(vertex,t2tb2(X34),t2tb(g_succ1(X33)))
=> ( ( ( ~ mem(vertex,t2tb2(X34),t2tb(X27))
& ( X23 = X33 ) )
| ( X23 != X33 ) )
=> ( ~ $less($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X33))),weight1(X33,X34)),tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X34))))
& ( mem(vertex,t2tb2(X34),t2tb(X28))
| mem(vertex,t2tb2(X34),t2tb(X26)) ) ) ) ) )
& inv_src1(X1,X26,X28) )
=> ! [X36: bool1] :
( ( ~ ! [X37: vertex1] : ~ mem(vertex,t2tb2(X37),t2tb(X27))
<=> ( true1 = X36 ) )
=> ( ( true1 = X36 )
=> ( ~ ! [X38: vertex1] : ~ mem(vertex,t2tb2(X38),t2tb(X27))
=> ! [X40: set_vertex,X39: vertex1] :
( ( ( tb2t(remove(vertex,t2tb2(X39),t2tb(X27))) = X40 )
& mem(vertex,t2tb2(X39),t2tb(X27)) )
=> ! [X42: map_vertex_int,X41: set_vertex] :
( ( ( ( tb2t(add(vertex,t2tb2(X39),t2tb(X28))) = X41 )
& ~ mem(vertex,t2tb2(X39),t2tb(X26))
& ~ mem(vertex,t2tb2(X39),t2tb(X28))
& ( tb2t1(set1(int,vertex,t2tb1(X29),t2tb2(X39),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X39))))) = X42 ) )
| ( ( tb2t1(set1(int,vertex,t2tb1(X29),t2tb2(X39),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X39))))) = X42 )
& mem(vertex,t2tb2(X39),t2tb(X41))
& $less($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X39)),tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X39))))
& ( X28 = X41 ) )
| ( mem(vertex,t2tb2(X39),t2tb(X26))
& ( X29 = X42 )
& ( X28 = X41 ) )
| ( ~ $less($sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X39)),tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X39))))
& ( X28 = X41 )
& mem(vertex,t2tb2(X39),t2tb(X41))
& ( X29 = X42 ) ) )
=> ( ( $less(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X39))),$sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X39)))
| ( $sum(tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X23))),weight1(X23,X39)) = tb2t3(get(int,vertex,t2tb1(X42),t2tb2(X39))) ) )
=> ! [X43: vertex1] :
( mem(vertex,t2tb2(X43),t2tb(X26))
=> ! [X44: vertex1] :
( mem(vertex,t2tb2(X44),t2tb(g_succ1(X43)))
=> ( ( ( X23 != X43 )
| ( ( X23 = X43 )
& ~ mem(vertex,t2tb2(X44),t2tb(X40)) ) )
=> ( mem(vertex,t2tb2(X44),t2tb(X41))
| mem(vertex,t2tb2(X44),t2tb(X26)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f85]) ).
tff(f85,plain,
~ ! [X20: map_vertex_int,X24: vertex1,X28: vertex1] :
( ( mem(vertex,t2tb2(X28),t2tb(v1))
& mem(vertex,t2tb2(X24),t2tb(v1)) )
=> ! [X19: set_vertex,X31: set_vertex,X30: map_vertex_int] :
( ( ( tb2t1(set1(int,vertex,t2tb1(X20),t2tb2(X24),t2tb3(0))) = X30 )
& ( tb2t(add(vertex,t2tb2(X24),empty(vertex))) = X19 )
& ! [X1: vertex1] : ~ mem(vertex,t2tb2(X1),t2tb(X31)) )
=> ! [X33: map_vertex_int,X32: set_vertex,X34: set_vertex] :
( ( ! [X1: vertex1] :
( mem(vertex,t2tb2(X1),t2tb(X34))
=> ! [X7: vertex1] :
( mem(vertex,t2tb2(X7),t2tb(g_succ1(X1)))
=> ( ( mem(vertex,t2tb2(X7),t2tb(X34))
| mem(vertex,t2tb2(X7),t2tb(X32)) )
& ~ $less($sum(tb2t3(get(int,vertex,t2tb1(X33),t2tb2(X1))),weight1(X1,X7)),tb2t3(get(int,vertex,t2tb1(X33),t2tb2(X7)))) ) ) )
& ( 0 = tb2t3(get(int,vertex,t2tb1(X33),t2tb2(X24))) )
& subset(vertex,t2tb(X34),t2tb(v1))
& subset(vertex,t2tb(X32),t2tb(v1))
& ! [X25: vertex1] :
( mem(vertex,t2tb2(X25),t2tb(X32))
=> ( mem(vertex,t2tb2(X25),t2tb(X34))
=> $false ) )
& ! [X25: vertex1] :
( mem(vertex,t2tb2(X25),t2tb(X32))
=> path1(X24,X25,tb2t3(get(int,vertex,t2tb1(X33),t2tb2(X25)))) )
& ! [X13: vertex1] :
( ( mem(vertex,t2tb2(X13),t2tb(X32))
& ! [X1: vertex1] :
( mem(vertex,t2tb2(X1),t2tb(X32))
=> ~ $less(tb2t3(get(int,vertex,t2tb1(X33),t2tb2(X1))),tb2t3(get(int,vertex,t2tb1(X33),t2tb2(X13)))) ) )
=> ! [X35: $int,X1: vertex1] :
( path1(X24,X1,X35)
=> ( $less(X35,tb2t3(get(int,vertex,t2tb1(X33),t2tb2(X13))))
=> mem(vertex,t2tb2(X1),t2tb(X34)) ) ) )
& ! [X25: vertex1] :
( mem(vertex,t2tb2(X25),t2tb(X34))
=> shortest_path1(X24,X25,tb2t3(get(int,vertex,t2tb1(X33),t2tb2(X25)))) )
& inv_src1(X24,X34,X32) )
=> ! [X36: bool1] :
( ( ! [X1: vertex1] : ~ mem(vertex,t2tb2(X1),t2tb(X32))
<=> ( true1 = X36 ) )
=> ( ( true1 != X36 )
=> ( ~ ! [X1: vertex1] : ~ mem(vertex,t2tb2(X1),t2tb(X32))
=> ! [X37: set_vertex,X6: vertex1] :
( ( mem(vertex,t2tb2(X6),t2tb(X32))
& ( tb2t(remove(vertex,t2tb2(X6),t2tb(X32))) = X37 )
& ! [X1: vertex1] :
( mem(vertex,t2tb2(X1),t2tb(X32))
=> ~ $less(tb2t3(get(int,vertex,t2tb1(X33),t2tb2(X1))),tb2t3(get(int,vertex,t2tb1(X33),t2tb2(X6)))) ) )
=> ( ( path1(X24,X6,tb2t3(get(int,vertex,t2tb1(X33),t2tb2(X6))))
& ! [X23: $int] :
( path1(X24,X6,X23)
=> ~ $less(X23,tb2t3(get(int,vertex,t2tb1(X33),t2tb2(X6)))) ) )
=> ! [X38: set_vertex] :
( ( tb2t(add(vertex,t2tb2(X6),t2tb(X34))) = X38 )
=> ! [X29: set_vertex,X39: set_vertex,X40: map_vertex_int] :
( ( ( 0 = tb2t3(get(int,vertex,t2tb1(X40),t2tb2(X24))) )
& ! [X1: vertex1] :
( mem(vertex,t2tb2(X1),t2tb(X29))
=> mem(vertex,t2tb2(X1),t2tb(g_succ1(X6))) )
& subset(vertex,t2tb(X39),t2tb(v1))
& ! [X25: vertex1] :
( mem(vertex,t2tb2(X25),t2tb(X39))
=> path1(X24,X25,tb2t3(get(int,vertex,t2tb1(X40),t2tb2(X25)))) )
& ! [X25: vertex1] :
( mem(vertex,t2tb2(X25),t2tb(X38))
=> shortest_path1(X24,X25,tb2t3(get(int,vertex,t2tb1(X40),t2tb2(X25)))) )
& subset(vertex,t2tb(X38),t2tb(v1))
& ! [X1: vertex1] :
( mem(vertex,t2tb2(X1),t2tb(X38))
=> ! [X7: vertex1] :
( mem(vertex,t2tb2(X7),t2tb(g_succ1(X1)))
=> ( ( ( ( X1 = X6 )
& ~ mem(vertex,t2tb2(X7),t2tb(X29)) )
| ( X1 != X6 ) )
=> ( ~ $less($sum(tb2t3(get(int,vertex,t2tb1(X40),t2tb2(X1))),weight1(X1,X7)),tb2t3(get(int,vertex,t2tb1(X40),t2tb2(X7))))
& ( mem(vertex,t2tb2(X7),t2tb(X38))
| mem(vertex,t2tb2(X7),t2tb(X39)) ) ) ) ) )
& ! [X25: vertex1] :
( mem(vertex,t2tb2(X25),t2tb(X39))
=> ( mem(vertex,t2tb2(X25),t2tb(X38))
=> $false ) )
& inv_src1(X24,X38,X39) )
=> ! [X41: bool1] :
( ( ( true1 = X41 )
<=> ~ ! [X1: vertex1] : ~ mem(vertex,t2tb2(X1),t2tb(X29)) )
=> ( ( true1 = X41 )
=> ( ~ ! [X1: vertex1] : ~ mem(vertex,t2tb2(X1),t2tb(X29))
=> ! [X25: vertex1,X42: set_vertex] :
( ( ( tb2t(remove(vertex,t2tb2(X25),t2tb(X29))) = X42 )
& mem(vertex,t2tb2(X25),t2tb(X29)) )
=> ! [X43: set_vertex,X44: map_vertex_int] :
( ( ( ( tb2t(add(vertex,t2tb2(X25),t2tb(X39))) = X43 )
& ( tb2t1(set1(int,vertex,t2tb1(X40),t2tb2(X25),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X40),t2tb2(X6))),weight1(X6,X25))))) = X44 )
& ~ mem(vertex,t2tb2(X25),t2tb(X39))
& ~ mem(vertex,t2tb2(X25),t2tb(X38)) )
| ( ( X39 = X43 )
& mem(vertex,t2tb2(X25),t2tb(X43))
& ( tb2t1(set1(int,vertex,t2tb1(X40),t2tb2(X25),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X40),t2tb2(X6))),weight1(X6,X25))))) = X44 )
& $less($sum(tb2t3(get(int,vertex,t2tb1(X40),t2tb2(X6))),weight1(X6,X25)),tb2t3(get(int,vertex,t2tb1(X40),t2tb2(X25)))) )
| ( ( X39 = X43 )
& mem(vertex,t2tb2(X25),t2tb(X38))
& ( X40 = X44 ) )
| ( ( X39 = X43 )
& mem(vertex,t2tb2(X25),t2tb(X43))
& ~ $less($sum(tb2t3(get(int,vertex,t2tb1(X44),t2tb2(X6))),weight1(X6,X25)),tb2t3(get(int,vertex,t2tb1(X44),t2tb2(X25))))
& ( X40 = X44 ) ) )
=> ( ( ( tb2t3(get(int,vertex,t2tb1(X44),t2tb2(X25))) = $sum(tb2t3(get(int,vertex,t2tb1(X44),t2tb2(X6))),weight1(X6,X25)) )
| $less(tb2t3(get(int,vertex,t2tb1(X44),t2tb2(X25))),$sum(tb2t3(get(int,vertex,t2tb1(X44),t2tb2(X6))),weight1(X6,X25))) )
=> ! [X1: vertex1] :
( mem(vertex,t2tb2(X1),t2tb(X38))
=> ! [X7: vertex1] :
( mem(vertex,t2tb2(X7),t2tb(g_succ1(X1)))
=> ( ( ( X1 != X6 )
| ( ~ mem(vertex,t2tb2(X7),t2tb(X42))
& ( X1 = X6 ) ) )
=> ( mem(vertex,t2tb2(X7),t2tb(X38))
| mem(vertex,t2tb2(X7),t2tb(X43)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(theory_normalization,[],[f79]) ).
tff(f79,negated_conjecture,
~ ! [X20: map_vertex_int,X24: vertex1,X28: vertex1] :
( ( mem(vertex,t2tb2(X28),t2tb(v1))
& mem(vertex,t2tb2(X24),t2tb(v1)) )
=> ! [X19: set_vertex,X31: set_vertex,X30: map_vertex_int] :
( ( ( tb2t1(set1(int,vertex,t2tb1(X20),t2tb2(X24),t2tb3(0))) = X30 )
& ( tb2t(add(vertex,t2tb2(X24),empty(vertex))) = X19 )
& ! [X1: vertex1] : ~ mem(vertex,t2tb2(X1),t2tb(X31)) )
=> ! [X33: map_vertex_int,X32: set_vertex,X34: set_vertex] :
( ( ! [X1: vertex1] :
( mem(vertex,t2tb2(X1),t2tb(X34))
=> ! [X7: vertex1] :
( mem(vertex,t2tb2(X7),t2tb(g_succ1(X1)))
=> ( ( mem(vertex,t2tb2(X7),t2tb(X34))
| mem(vertex,t2tb2(X7),t2tb(X32)) )
& $lesseq(tb2t3(get(int,vertex,t2tb1(X33),t2tb2(X7))),$sum(tb2t3(get(int,vertex,t2tb1(X33),t2tb2(X1))),weight1(X1,X7))) ) ) )
& ( 0 = tb2t3(get(int,vertex,t2tb1(X33),t2tb2(X24))) )
& subset(vertex,t2tb(X34),t2tb(v1))
& subset(vertex,t2tb(X32),t2tb(v1))
& ! [X25: vertex1] :
( mem(vertex,t2tb2(X25),t2tb(X32))
=> ( mem(vertex,t2tb2(X25),t2tb(X34))
=> $false ) )
& ! [X25: vertex1] :
( mem(vertex,t2tb2(X25),t2tb(X32))
=> path1(X24,X25,tb2t3(get(int,vertex,t2tb1(X33),t2tb2(X25)))) )
& ! [X13: vertex1] :
( ( mem(vertex,t2tb2(X13),t2tb(X32))
& ! [X1: vertex1] :
( mem(vertex,t2tb2(X1),t2tb(X32))
=> $lesseq(tb2t3(get(int,vertex,t2tb1(X33),t2tb2(X13))),tb2t3(get(int,vertex,t2tb1(X33),t2tb2(X1)))) ) )
=> ! [X35: $int,X1: vertex1] :
( path1(X24,X1,X35)
=> ( $less(X35,tb2t3(get(int,vertex,t2tb1(X33),t2tb2(X13))))
=> mem(vertex,t2tb2(X1),t2tb(X34)) ) ) )
& ! [X25: vertex1] :
( mem(vertex,t2tb2(X25),t2tb(X34))
=> shortest_path1(X24,X25,tb2t3(get(int,vertex,t2tb1(X33),t2tb2(X25)))) )
& inv_src1(X24,X34,X32) )
=> ! [X36: bool1] :
( ( ! [X1: vertex1] : ~ mem(vertex,t2tb2(X1),t2tb(X32))
<=> ( true1 = X36 ) )
=> ( ( true1 != X36 )
=> ( ~ ! [X1: vertex1] : ~ mem(vertex,t2tb2(X1),t2tb(X32))
=> ! [X37: set_vertex,X6: vertex1] :
( ( mem(vertex,t2tb2(X6),t2tb(X32))
& ( tb2t(remove(vertex,t2tb2(X6),t2tb(X32))) = X37 )
& ! [X1: vertex1] :
( mem(vertex,t2tb2(X1),t2tb(X32))
=> $lesseq(tb2t3(get(int,vertex,t2tb1(X33),t2tb2(X6))),tb2t3(get(int,vertex,t2tb1(X33),t2tb2(X1)))) ) )
=> ( ( path1(X24,X6,tb2t3(get(int,vertex,t2tb1(X33),t2tb2(X6))))
& ! [X23: $int] :
( path1(X24,X6,X23)
=> $lesseq(tb2t3(get(int,vertex,t2tb1(X33),t2tb2(X6))),X23) ) )
=> ! [X38: set_vertex] :
( ( tb2t(add(vertex,t2tb2(X6),t2tb(X34))) = X38 )
=> ! [X29: set_vertex,X39: set_vertex,X40: map_vertex_int] :
( ( ( 0 = tb2t3(get(int,vertex,t2tb1(X40),t2tb2(X24))) )
& ! [X1: vertex1] :
( mem(vertex,t2tb2(X1),t2tb(X29))
=> mem(vertex,t2tb2(X1),t2tb(g_succ1(X6))) )
& subset(vertex,t2tb(X39),t2tb(v1))
& ! [X25: vertex1] :
( mem(vertex,t2tb2(X25),t2tb(X39))
=> path1(X24,X25,tb2t3(get(int,vertex,t2tb1(X40),t2tb2(X25)))) )
& ! [X25: vertex1] :
( mem(vertex,t2tb2(X25),t2tb(X38))
=> shortest_path1(X24,X25,tb2t3(get(int,vertex,t2tb1(X40),t2tb2(X25)))) )
& subset(vertex,t2tb(X38),t2tb(v1))
& ! [X1: vertex1] :
( mem(vertex,t2tb2(X1),t2tb(X38))
=> ! [X7: vertex1] :
( mem(vertex,t2tb2(X7),t2tb(g_succ1(X1)))
=> ( ( ( ( X1 = X6 )
& ~ mem(vertex,t2tb2(X7),t2tb(X29)) )
| ( X1 != X6 ) )
=> ( $lesseq(tb2t3(get(int,vertex,t2tb1(X40),t2tb2(X7))),$sum(tb2t3(get(int,vertex,t2tb1(X40),t2tb2(X1))),weight1(X1,X7)))
& ( mem(vertex,t2tb2(X7),t2tb(X38))
| mem(vertex,t2tb2(X7),t2tb(X39)) ) ) ) ) )
& ! [X25: vertex1] :
( mem(vertex,t2tb2(X25),t2tb(X39))
=> ( mem(vertex,t2tb2(X25),t2tb(X38))
=> $false ) )
& inv_src1(X24,X38,X39) )
=> ! [X41: bool1] :
( ( ( true1 = X41 )
<=> ~ ! [X1: vertex1] : ~ mem(vertex,t2tb2(X1),t2tb(X29)) )
=> ( ( true1 = X41 )
=> ( ~ ! [X1: vertex1] : ~ mem(vertex,t2tb2(X1),t2tb(X29))
=> ! [X25: vertex1,X42: set_vertex] :
( ( ( tb2t(remove(vertex,t2tb2(X25),t2tb(X29))) = X42 )
& mem(vertex,t2tb2(X25),t2tb(X29)) )
=> ! [X43: set_vertex,X44: map_vertex_int] :
( ( ( ( tb2t(add(vertex,t2tb2(X25),t2tb(X39))) = X43 )
& ( tb2t1(set1(int,vertex,t2tb1(X40),t2tb2(X25),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X40),t2tb2(X6))),weight1(X6,X25))))) = X44 )
& ~ mem(vertex,t2tb2(X25),t2tb(X39))
& ~ mem(vertex,t2tb2(X25),t2tb(X38)) )
| ( ( X39 = X43 )
& mem(vertex,t2tb2(X25),t2tb(X43))
& ( tb2t1(set1(int,vertex,t2tb1(X40),t2tb2(X25),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X40),t2tb2(X6))),weight1(X6,X25))))) = X44 )
& $less($sum(tb2t3(get(int,vertex,t2tb1(X40),t2tb2(X6))),weight1(X6,X25)),tb2t3(get(int,vertex,t2tb1(X40),t2tb2(X25)))) )
| ( ( X39 = X43 )
& mem(vertex,t2tb2(X25),t2tb(X38))
& ( X40 = X44 ) )
| ( ( X39 = X43 )
& mem(vertex,t2tb2(X25),t2tb(X43))
& $lesseq(tb2t3(get(int,vertex,t2tb1(X44),t2tb2(X25))),$sum(tb2t3(get(int,vertex,t2tb1(X44),t2tb2(X6))),weight1(X6,X25)))
& ( X40 = X44 ) ) )
=> ( ( ( tb2t3(get(int,vertex,t2tb1(X44),t2tb2(X25))) = $sum(tb2t3(get(int,vertex,t2tb1(X44),t2tb2(X6))),weight1(X6,X25)) )
| $less(tb2t3(get(int,vertex,t2tb1(X44),t2tb2(X25))),$sum(tb2t3(get(int,vertex,t2tb1(X44),t2tb2(X6))),weight1(X6,X25))) )
=> ! [X1: vertex1] :
( mem(vertex,t2tb2(X1),t2tb(X38))
=> ! [X7: vertex1] :
( mem(vertex,t2tb2(X7),t2tb(g_succ1(X1)))
=> ( ( ( X1 != X6 )
| ( ~ mem(vertex,t2tb2(X7),t2tb(X42))
& ( X1 = X6 ) ) )
=> ( mem(vertex,t2tb2(X7),t2tb(X38))
| mem(vertex,t2tb2(X7),t2tb(X43)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f78]) ).
tff(f78,conjecture,
! [X20: map_vertex_int,X24: vertex1,X28: vertex1] :
( ( mem(vertex,t2tb2(X28),t2tb(v1))
& mem(vertex,t2tb2(X24),t2tb(v1)) )
=> ! [X19: set_vertex,X31: set_vertex,X30: map_vertex_int] :
( ( ( tb2t1(set1(int,vertex,t2tb1(X20),t2tb2(X24),t2tb3(0))) = X30 )
& ( tb2t(add(vertex,t2tb2(X24),empty(vertex))) = X19 )
& ! [X1: vertex1] : ~ mem(vertex,t2tb2(X1),t2tb(X31)) )
=> ! [X33: map_vertex_int,X32: set_vertex,X34: set_vertex] :
( ( ! [X1: vertex1] :
( mem(vertex,t2tb2(X1),t2tb(X34))
=> ! [X7: vertex1] :
( mem(vertex,t2tb2(X7),t2tb(g_succ1(X1)))
=> ( ( mem(vertex,t2tb2(X7),t2tb(X34))
| mem(vertex,t2tb2(X7),t2tb(X32)) )
& $lesseq(tb2t3(get(int,vertex,t2tb1(X33),t2tb2(X7))),$sum(tb2t3(get(int,vertex,t2tb1(X33),t2tb2(X1))),weight1(X1,X7))) ) ) )
& ( 0 = tb2t3(get(int,vertex,t2tb1(X33),t2tb2(X24))) )
& subset(vertex,t2tb(X34),t2tb(v1))
& subset(vertex,t2tb(X32),t2tb(v1))
& ! [X25: vertex1] :
( mem(vertex,t2tb2(X25),t2tb(X32))
=> ( mem(vertex,t2tb2(X25),t2tb(X34))
=> $false ) )
& ! [X25: vertex1] :
( mem(vertex,t2tb2(X25),t2tb(X32))
=> path1(X24,X25,tb2t3(get(int,vertex,t2tb1(X33),t2tb2(X25)))) )
& ! [X13: vertex1] :
( ( mem(vertex,t2tb2(X13),t2tb(X32))
& ! [X1: vertex1] :
( mem(vertex,t2tb2(X1),t2tb(X32))
=> $lesseq(tb2t3(get(int,vertex,t2tb1(X33),t2tb2(X13))),tb2t3(get(int,vertex,t2tb1(X33),t2tb2(X1)))) ) )
=> ! [X35: $int,X1: vertex1] :
( path1(X24,X1,X35)
=> ( $less(X35,tb2t3(get(int,vertex,t2tb1(X33),t2tb2(X13))))
=> mem(vertex,t2tb2(X1),t2tb(X34)) ) ) )
& ! [X25: vertex1] :
( mem(vertex,t2tb2(X25),t2tb(X34))
=> shortest_path1(X24,X25,tb2t3(get(int,vertex,t2tb1(X33),t2tb2(X25)))) )
& inv_src1(X24,X34,X32) )
=> ! [X36: bool1] :
( ( ! [X1: vertex1] : ~ mem(vertex,t2tb2(X1),t2tb(X32))
<=> ( true1 = X36 ) )
=> ( ( true1 != X36 )
=> ( ~ ! [X1: vertex1] : ~ mem(vertex,t2tb2(X1),t2tb(X32))
=> ! [X37: set_vertex,X6: vertex1] :
( ( mem(vertex,t2tb2(X6),t2tb(X32))
& ( tb2t(remove(vertex,t2tb2(X6),t2tb(X32))) = X37 )
& ! [X1: vertex1] :
( mem(vertex,t2tb2(X1),t2tb(X32))
=> $lesseq(tb2t3(get(int,vertex,t2tb1(X33),t2tb2(X6))),tb2t3(get(int,vertex,t2tb1(X33),t2tb2(X1)))) ) )
=> ( ( path1(X24,X6,tb2t3(get(int,vertex,t2tb1(X33),t2tb2(X6))))
& ! [X23: $int] :
( path1(X24,X6,X23)
=> $lesseq(tb2t3(get(int,vertex,t2tb1(X33),t2tb2(X6))),X23) ) )
=> ! [X38: set_vertex] :
( ( tb2t(add(vertex,t2tb2(X6),t2tb(X34))) = X38 )
=> ! [X29: set_vertex,X39: set_vertex,X40: map_vertex_int] :
( ( ( 0 = tb2t3(get(int,vertex,t2tb1(X40),t2tb2(X24))) )
& ! [X1: vertex1] :
( mem(vertex,t2tb2(X1),t2tb(X29))
=> mem(vertex,t2tb2(X1),t2tb(g_succ1(X6))) )
& subset(vertex,t2tb(X39),t2tb(v1))
& ! [X25: vertex1] :
( mem(vertex,t2tb2(X25),t2tb(X39))
=> path1(X24,X25,tb2t3(get(int,vertex,t2tb1(X40),t2tb2(X25)))) )
& ! [X25: vertex1] :
( mem(vertex,t2tb2(X25),t2tb(X38))
=> shortest_path1(X24,X25,tb2t3(get(int,vertex,t2tb1(X40),t2tb2(X25)))) )
& subset(vertex,t2tb(X38),t2tb(v1))
& ! [X1: vertex1] :
( mem(vertex,t2tb2(X1),t2tb(X38))
=> ! [X7: vertex1] :
( mem(vertex,t2tb2(X7),t2tb(g_succ1(X1)))
=> ( ( ( ( X1 = X6 )
& ~ mem(vertex,t2tb2(X7),t2tb(X29)) )
| ( X1 != X6 ) )
=> ( $lesseq(tb2t3(get(int,vertex,t2tb1(X40),t2tb2(X7))),$sum(tb2t3(get(int,vertex,t2tb1(X40),t2tb2(X1))),weight1(X1,X7)))
& ( mem(vertex,t2tb2(X7),t2tb(X38))
| mem(vertex,t2tb2(X7),t2tb(X39)) ) ) ) ) )
& ! [X25: vertex1] :
( mem(vertex,t2tb2(X25),t2tb(X39))
=> ( mem(vertex,t2tb2(X25),t2tb(X38))
=> $false ) )
& inv_src1(X24,X38,X39) )
=> ! [X41: bool1] :
( ( ( true1 = X41 )
<=> ~ ! [X1: vertex1] : ~ mem(vertex,t2tb2(X1),t2tb(X29)) )
=> ( ( true1 = X41 )
=> ( ~ ! [X1: vertex1] : ~ mem(vertex,t2tb2(X1),t2tb(X29))
=> ! [X25: vertex1,X42: set_vertex] :
( ( ( tb2t(remove(vertex,t2tb2(X25),t2tb(X29))) = X42 )
& mem(vertex,t2tb2(X25),t2tb(X29)) )
=> ! [X43: set_vertex,X44: map_vertex_int] :
( ( ( ( tb2t(add(vertex,t2tb2(X25),t2tb(X39))) = X43 )
& ( tb2t1(set1(int,vertex,t2tb1(X40),t2tb2(X25),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X40),t2tb2(X6))),weight1(X6,X25))))) = X44 )
& ~ mem(vertex,t2tb2(X25),t2tb(X39))
& ~ mem(vertex,t2tb2(X25),t2tb(X38)) )
| ( ( X39 = X43 )
& mem(vertex,t2tb2(X25),t2tb(X43))
& ( tb2t1(set1(int,vertex,t2tb1(X40),t2tb2(X25),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X40),t2tb2(X6))),weight1(X6,X25))))) = X44 )
& $less($sum(tb2t3(get(int,vertex,t2tb1(X40),t2tb2(X6))),weight1(X6,X25)),tb2t3(get(int,vertex,t2tb1(X40),t2tb2(X25)))) )
| ( ( X39 = X43 )
& mem(vertex,t2tb2(X25),t2tb(X38))
& ( X40 = X44 ) )
| ( ( X39 = X43 )
& mem(vertex,t2tb2(X25),t2tb(X43))
& $lesseq(tb2t3(get(int,vertex,t2tb1(X44),t2tb2(X25))),$sum(tb2t3(get(int,vertex,t2tb1(X44),t2tb2(X6))),weight1(X6,X25)))
& ( X40 = X44 ) ) )
=> ( ( ( tb2t3(get(int,vertex,t2tb1(X44),t2tb2(X25))) = $sum(tb2t3(get(int,vertex,t2tb1(X44),t2tb2(X6))),weight1(X6,X25)) )
| $less(tb2t3(get(int,vertex,t2tb1(X44),t2tb2(X25))),$sum(tb2t3(get(int,vertex,t2tb1(X44),t2tb2(X6))),weight1(X6,X25))) )
=> ! [X1: vertex1] :
( mem(vertex,t2tb2(X1),t2tb(X38))
=> ! [X7: vertex1] :
( mem(vertex,t2tb2(X7),t2tb(g_succ1(X1)))
=> ( ( ( X1 != X6 )
| ( ~ mem(vertex,t2tb2(X7),t2tb(X42))
& ( X1 = X6 ) ) )
=> ( mem(vertex,t2tb2(X7),t2tb(X38))
| mem(vertex,t2tb2(X7),t2tb(X43)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_shortest_path_code) ).
tff(f2647,plain,
( ~ spl44_156
| spl44_265
| spl44_271
| ~ spl44_158 ),
inference(avatar_split_clause,[],[f2534,f1703,f2607,f2583,f1689]) ).
tff(f2583,plain,
( spl44_265
<=> ( sK12 = tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_265])]) ).
tff(f2607,plain,
( spl44_271
<=> ! [X1: vertex1] :
( ~ mem(vertex,t2tb2(X1),t2tb(g_succ1(tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex)))))
| ~ $less($sum(tb2t3(get(int,vertex,t2tb1(sK17),sK40(t2tb(sK15),t2tb(sK3),vertex))),weight1(tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex)),X1)),tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_271])]) ).
tff(f2534,plain,
( ! [X1: vertex1] :
( ~ $less($sum(tb2t3(get(int,vertex,t2tb1(sK17),sK40(t2tb(sK15),t2tb(sK3),vertex))),weight1(tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex)),X1)),tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(X1))))
| ~ mem(vertex,t2tb2(X1),t2tb(g_succ1(tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex)))))
| ( sK12 = tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex)) )
| ~ mem(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex),t2tb(sK15)) )
| ~ spl44_158 ),
inference(superposition,[],[f254,f1704]) ).
tff(f254,plain,
! [X34: vertex1,X33: vertex1] :
( ~ mem(vertex,t2tb2(X33),t2tb(sK15))
| ~ $less($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(X33))),weight1(X33,X34)),tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(X34))))
| ~ mem(vertex,t2tb2(X34),t2tb(g_succ1(X33)))
| ( sK12 = X33 ) ),
inference(cnf_transformation,[],[f181]) ).
tff(f2646,plain,
( spl44_263
| spl44_156
| spl44_278
| ~ spl44_158 ),
inference(avatar_split_clause,[],[f2552,f1703,f2644,f1689,f2575]) ).
tff(f2575,plain,
( spl44_263
<=> mem(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex),t2tb(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_263])]) ).
tff(f2644,plain,
( spl44_278
<=> ! [X10: uni] :
( ~ mem(vertex,X10,t2tb(sK15))
| ( tb2t2(X10) = sK12 )
| ~ sort1(vertex,X10)
| ~ mem(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex),t2tb(g_succ1(tb2t2(X10)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_278])]) ).
tff(f2552,plain,
( ! [X10: uni] :
( ~ mem(vertex,X10,t2tb(sK15))
| mem(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex),t2tb(sK15))
| ~ mem(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex),t2tb(g_succ1(tb2t2(X10))))
| ~ sort1(vertex,X10)
| ( tb2t2(X10) = sK12 )
| mem(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex),t2tb(sK16)) )
| ~ spl44_158 ),
inference(superposition,[],[f1148,f1704]) ).
tff(f1148,plain,
! [X0: uni,X1: vertex1] :
( ~ mem(vertex,t2tb2(X1),t2tb(g_succ1(tb2t2(X0))))
| ( tb2t2(X0) = sK12 )
| ~ sort1(vertex,X0)
| mem(vertex,t2tb2(X1),t2tb(sK16))
| ~ mem(vertex,X0,t2tb(sK15))
| mem(vertex,t2tb2(X1),t2tb(sK15)) ),
inference(superposition,[],[f784,f342]) ).
tff(f784,plain,
! [X2: vertex1,X1: uni] :
( ~ mem(vertex,contents(vertex,X1),t2tb(sK15))
| mem(vertex,t2tb2(X2),t2tb(sK15))
| ( sK12 = tb2t2(contents(vertex,X1)) )
| ~ mem(vertex,t2tb2(X2),t2tb(g_succ1(tb2t2(contents(vertex,X1)))))
| mem(vertex,t2tb2(X2),t2tb(sK16)) ),
inference(superposition,[],[f251,f683]) ).
tff(f251,plain,
! [X34: vertex1,X33: vertex1] :
( ~ mem(vertex,t2tb2(X33),t2tb(sK15))
| mem(vertex,t2tb2(X34),t2tb(sK16))
| ( sK12 = X33 )
| mem(vertex,t2tb2(X34),t2tb(sK15))
| ~ mem(vertex,t2tb2(X34),t2tb(g_succ1(X33))) ),
inference(cnf_transformation,[],[f181]) ).
tff(f2642,plain,
( ~ spl44_156
| spl44_265
| spl44_266
| ~ spl44_158 ),
inference(avatar_split_clause,[],[f2554,f1703,f2586,f2583,f1689]) ).
tff(f2586,plain,
( spl44_266
<=> ! [X11: uni] :
( mem(vertex,X11,t2tb(sK15))
| ~ mem(vertex,X11,t2tb(g_succ1(tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex)))))
| ~ sort1(vertex,X11)
| mem(vertex,X11,t2tb(sK16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_266])]) ).
tff(f2554,plain,
( ! [X11: uni] :
( ~ mem(vertex,X11,t2tb(g_succ1(tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex)))))
| ( sK12 = tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex)) )
| ~ mem(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex),t2tb(sK15))
| mem(vertex,X11,t2tb(sK16))
| ~ sort1(vertex,X11)
| mem(vertex,X11,t2tb(sK15)) )
| ~ spl44_158 ),
inference(superposition,[],[f1335,f1704]) ).
tff(f1335,plain,
! [X0: vertex1,X1: uni] :
( ~ mem(vertex,t2tb2(X0),t2tb(sK15))
| mem(vertex,X1,t2tb(sK16))
| ~ mem(vertex,X1,t2tb(g_succ1(X0)))
| mem(vertex,X1,t2tb(sK15))
| ~ sort1(vertex,X1)
| ( sK12 = X0 ) ),
inference(subsumption_resolution,[],[f1334,f384]) ).
tff(f1334,plain,
! [X0: vertex1,X1: uni] :
( ~ mem(vertex,t2tb2(X0),t2tb(sK15))
| ~ sort1(vertex,X1)
| ~ mem(vertex,X1,t2tb(g_succ1(X0)))
| mem(vertex,X1,t2tb(sK15))
| ~ sort1(vertex,t2tb2(X0))
| ( sK12 = X0 )
| mem(vertex,X1,t2tb(sK16)) ),
inference(superposition,[],[f1331,f337]) ).
tff(f337,plain,
! [X0: vertex1] : ( tb2t2(t2tb2(X0)) = X0 ),
inference(cnf_transformation,[],[f154]) ).
tff(f154,plain,
! [X0: vertex1] : ( tb2t2(t2tb2(X0)) = X0 ),
inference(rectify,[],[f59]) ).
tff(f59,axiom,
! [X17: vertex1] : ( tb2t2(t2tb2(X17)) = X17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL2) ).
tff(f1331,plain,
! [X0: uni,X1: uni] :
( ~ mem(vertex,X0,t2tb(g_succ1(tb2t2(X1))))
| ~ sort1(vertex,X0)
| mem(vertex,X0,t2tb(sK15))
| ~ sort1(vertex,X1)
| mem(vertex,X0,t2tb(sK16))
| ~ mem(vertex,X1,t2tb(sK15))
| ( tb2t2(X1) = sK12 ) ),
inference(superposition,[],[f1150,f342]) ).
tff(f1150,plain,
! [X2: uni,X1: uni] :
( mem(vertex,contents(vertex,X1),t2tb(sK15))
| ~ sort1(vertex,X2)
| ~ mem(vertex,contents(vertex,X1),t2tb(g_succ1(tb2t2(X2))))
| ( tb2t2(X2) = sK12 )
| mem(vertex,contents(vertex,X1),t2tb(sK16))
| ~ mem(vertex,X2,t2tb(sK15)) ),
inference(superposition,[],[f1148,f683]) ).
tff(f2641,plain,
( spl44_265
| spl44_275
| ~ spl44_156
| ~ spl44_158 ),
inference(avatar_split_clause,[],[f2533,f1703,f1689,f2622,f2583]) ).
tff(f2622,plain,
( spl44_275
<=> ! [X0: vertex1] :
( ~ mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex)))))
| mem(vertex,t2tb2(X0),t2tb(sK16))
| mem(vertex,t2tb2(X0),t2tb(sK15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_275])]) ).
tff(f2533,plain,
( ! [X0: vertex1] :
( ~ mem(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex),t2tb(sK15))
| ~ mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex)))))
| mem(vertex,t2tb2(X0),t2tb(sK16))
| ( sK12 = tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex)) )
| mem(vertex,t2tb2(X0),t2tb(sK15)) )
| ~ spl44_158 ),
inference(superposition,[],[f251,f1704]) ).
tff(f2640,plain,
( ~ spl44_263
| ~ spl44_156
| ~ spl44_158 ),
inference(avatar_split_clause,[],[f2535,f1703,f1689,f2575]) ).
tff(f2535,plain,
( ~ mem(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex),t2tb(sK15))
| ~ mem(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex),t2tb(sK16))
| ~ spl44_158 ),
inference(superposition,[],[f257,f1704]) ).
tff(f257,plain,
! [X35: vertex1] :
( ~ mem(vertex,t2tb2(X35),t2tb(sK16))
| ~ mem(vertex,t2tb2(X35),t2tb(sK15)) ),
inference(cnf_transformation,[],[f181]) ).
tff(f2638,plain,
( ~ spl44_277
| spl44_156
| spl44_263
| ~ spl44_113
| ~ spl44_158 ),
inference(avatar_split_clause,[],[f2553,f1703,f1166,f2575,f1689,f2635]) ).
tff(f2635,plain,
( spl44_277
<=> mem(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_277])]) ).
tff(f1166,plain,
( spl44_113
<=> ! [X0: vertex1] :
( mem(vertex,t2tb2(X0),t2tb(sK16))
| mem(vertex,t2tb2(X0),t2tb(sK15))
| ~ mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_113])]) ).
tff(f2553,plain,
( mem(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex),t2tb(sK16))
| mem(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex),t2tb(sK15))
| ~ mem(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15))))))
| ~ spl44_113
| ~ spl44_158 ),
inference(superposition,[],[f1167,f1704]) ).
tff(f1167,plain,
( ! [X0: vertex1] :
( ~ mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15))))))
| mem(vertex,t2tb2(X0),t2tb(sK16))
| mem(vertex,t2tb2(X0),t2tb(sK15)) )
| ~ spl44_113 ),
inference(avatar_component_clause,[],[f1166]) ).
tff(f2633,plain,
( spl44_276
| ~ spl44_259
| ~ spl44_158 ),
inference(avatar_split_clause,[],[f2540,f1703,f2559,f2631]) ).
tff(f2631,plain,
( spl44_276
<=> ! [X2: vertex1] :
( ~ mem(vertex,t2tb2(X2),t2tb(g_succ1(tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex)))))
| mem(vertex,t2tb2(X2),t2tb(sK8))
| mem(vertex,t2tb2(X2),t2tb(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_276])]) ).
tff(f2559,plain,
( spl44_259
<=> mem(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex),t2tb(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_259])]) ).
tff(f2540,plain,
( ! [X2: vertex1] :
( ~ mem(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex),t2tb(sK8))
| ~ mem(vertex,t2tb2(X2),t2tb(g_succ1(tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex)))))
| mem(vertex,t2tb2(X2),t2tb(sK6))
| mem(vertex,t2tb2(X2),t2tb(sK8)) )
| ~ spl44_158 ),
inference(superposition,[],[f272,f1704]) ).
tff(f272,plain,
! [X10: vertex1,X11: vertex1] :
( ~ mem(vertex,t2tb2(X10),t2tb(sK8))
| ~ mem(vertex,t2tb2(X11),t2tb(g_succ1(X10)))
| mem(vertex,t2tb2(X11),t2tb(sK8))
| mem(vertex,t2tb2(X11),t2tb(sK6)) ),
inference(cnf_transformation,[],[f181]) ).
tff(f2629,plain,
( ~ spl44_274
| spl44_272
| ~ spl44_158 ),
inference(avatar_split_clause,[],[f2536,f1703,f2611,f2617]) ).
tff(f2617,plain,
( spl44_274
<=> mem(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex),t2tb(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_274])]) ).
tff(f2611,plain,
( spl44_272
<=> mem(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex),t2tb(g_succ1(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_272])]) ).
tff(f2536,plain,
( mem(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex),t2tb(g_succ1(sK12)))
| ~ mem(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex),t2tb(sK18))
| ~ spl44_158 ),
inference(superposition,[],[f260,f1704]) ).
tff(f260,plain,
! [X30: vertex1] :
( mem(vertex,t2tb2(X30),t2tb(g_succ1(sK12)))
| ~ mem(vertex,t2tb2(X30),t2tb(sK18)) ),
inference(cnf_transformation,[],[f181]) ).
tff(f2626,plain,
( ~ spl44_263
| ~ spl44_156
| ~ spl44_158 ),
inference(avatar_split_clause,[],[f2625,f1703,f1689,f2575]) ).
tff(f2625,plain,
( ~ mem(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex),t2tb(sK16))
| ~ spl44_156
| ~ spl44_158 ),
inference(subsumption_resolution,[],[f2535,f1690]) ).
tff(f1690,plain,
( mem(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex),t2tb(sK15))
| ~ spl44_156 ),
inference(avatar_component_clause,[],[f1689]) ).
tff(f2624,plain,
( spl44_265
| spl44_275
| ~ spl44_156
| ~ spl44_158 ),
inference(avatar_split_clause,[],[f2620,f1703,f1689,f2622,f2583]) ).
tff(f2620,plain,
( ! [X0: vertex1] :
( ~ mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex)))))
| ( sK12 = tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex)) )
| mem(vertex,t2tb2(X0),t2tb(sK15))
| mem(vertex,t2tb2(X0),t2tb(sK16)) )
| ~ spl44_156
| ~ spl44_158 ),
inference(subsumption_resolution,[],[f2533,f1690]) ).
tff(f2619,plain,
( ~ spl44_272
| ~ spl44_273
| spl44_274
| ~ spl44_37
| ~ spl44_158 ),
inference(avatar_split_clause,[],[f2551,f1703,f554,f2617,f2614,f2611]) ).
tff(f2614,plain,
( spl44_273
<=> $less($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK12))),weight1(sK12,tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex)))),tb2t3(get(int,vertex,t2tb1(sK17),sK40(t2tb(sK15),t2tb(sK3),vertex)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_273])]) ).
tff(f554,plain,
( spl44_37
<=> ! [X34: vertex1] :
( mem(vertex,t2tb2(X34),t2tb(sK18))
| ~ mem(vertex,t2tb2(X34),t2tb(g_succ1(sK12)))
| ~ $less($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK12))),weight1(sK12,X34)),tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(X34)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_37])]) ).
tff(f2551,plain,
( mem(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex),t2tb(sK18))
| ~ $less($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK12))),weight1(sK12,tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex)))),tb2t3(get(int,vertex,t2tb1(sK17),sK40(t2tb(sK15),t2tb(sK3),vertex))))
| ~ mem(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex),t2tb(g_succ1(sK12)))
| ~ spl44_37
| ~ spl44_158 ),
inference(superposition,[],[f555,f1704]) ).
tff(f555,plain,
( ! [X34: vertex1] :
( mem(vertex,t2tb2(X34),t2tb(sK18))
| ~ mem(vertex,t2tb2(X34),t2tb(g_succ1(sK12)))
| ~ $less($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK12))),weight1(sK12,X34)),tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(X34)))) )
| ~ spl44_37 ),
inference(avatar_component_clause,[],[f554]) ).
tff(f2609,plain,
( spl44_265
| spl44_271
| ~ spl44_156
| ~ spl44_158 ),
inference(avatar_split_clause,[],[f2605,f1703,f1689,f2607,f2583]) ).
tff(f2605,plain,
( ! [X1: vertex1] :
( ~ mem(vertex,t2tb2(X1),t2tb(g_succ1(tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex)))))
| ( sK12 = tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex)) )
| ~ $less($sum(tb2t3(get(int,vertex,t2tb1(sK17),sK40(t2tb(sK15),t2tb(sK3),vertex))),weight1(tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex)),X1)),tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(X1)))) )
| ~ spl44_156
| ~ spl44_158 ),
inference(subsumption_resolution,[],[f2534,f1690]) ).
tff(f2604,plain,
( spl44_270
| ~ spl44_259
| ~ spl44_158 ),
inference(avatar_split_clause,[],[f2541,f1703,f2559,f2602]) ).
tff(f2602,plain,
( spl44_270
<=> ! [X3: vertex1] :
( ~ $less($sum(tb2t3(get(int,vertex,t2tb1(sK7),sK40(t2tb(sK15),t2tb(sK3),vertex))),weight1(tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex)),X3)),tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X3))))
| ~ mem(vertex,t2tb2(X3),t2tb(g_succ1(tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_270])]) ).
tff(f2541,plain,
( ! [X3: vertex1] :
( ~ mem(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex),t2tb(sK8))
| ~ $less($sum(tb2t3(get(int,vertex,t2tb1(sK7),sK40(t2tb(sK15),t2tb(sK3),vertex))),weight1(tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex)),X3)),tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X3))))
| ~ mem(vertex,t2tb2(X3),t2tb(g_succ1(tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex))))) )
| ~ spl44_158 ),
inference(superposition,[],[f273,f1704]) ).
tff(f273,plain,
! [X10: vertex1,X11: vertex1] :
( ~ mem(vertex,t2tb2(X10),t2tb(sK8))
| ~ mem(vertex,t2tb2(X11),t2tb(g_succ1(X10)))
| ~ $less($sum(tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X10))),weight1(X10,X11)),tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X11)))) ),
inference(cnf_transformation,[],[f181]) ).
tff(f2600,plain,
( spl44_269
| ~ spl44_259
| ~ spl44_158 ),
inference(avatar_split_clause,[],[f2545,f1703,f2559,f2598]) ).
tff(f2598,plain,
( spl44_269
<=> shortest_path1(sK0,tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex)),tb2t3(get(int,vertex,t2tb1(sK7),sK40(t2tb(sK15),t2tb(sK3),vertex)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_269])]) ).
tff(f2545,plain,
( ~ mem(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex),t2tb(sK8))
| shortest_path1(sK0,tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex)),tb2t3(get(int,vertex,t2tb1(sK7),sK40(t2tb(sK15),t2tb(sK3),vertex))))
| ~ spl44_158 ),
inference(superposition,[],[f283,f1704]) ).
tff(f283,plain,
! [X18: vertex1] :
( ~ mem(vertex,t2tb2(X18),t2tb(sK8))
| shortest_path1(sK0,X18,tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X18)))) ),
inference(cnf_transformation,[],[f181]) ).
tff(f2596,plain,
( ~ spl44_258
| ~ spl44_268
| ~ spl44_158 ),
inference(avatar_split_clause,[],[f2539,f1703,f2594,f2556]) ).
tff(f2556,plain,
( spl44_258
<=> mem(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex),t2tb(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_258])]) ).
tff(f2594,plain,
( spl44_268
<=> $less(tb2t3(get(int,vertex,t2tb1(sK7),sK40(t2tb(sK15),t2tb(sK3),vertex))),tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK12)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_268])]) ).
tff(f2539,plain,
( ~ $less(tb2t3(get(int,vertex,t2tb1(sK7),sK40(t2tb(sK15),t2tb(sK3),vertex))),tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK12))))
| ~ mem(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex),t2tb(sK6))
| ~ spl44_158 ),
inference(superposition,[],[f269,f1704]) ).
tff(f269,plain,
! [X24: vertex1] :
( ~ $less(tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X24))),tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK12))))
| ~ mem(vertex,t2tb2(X24),t2tb(sK6)) ),
inference(cnf_transformation,[],[f181]) ).
tff(f2592,plain,
( ~ spl44_258
| spl44_267
| ~ spl44_158 ),
inference(avatar_split_clause,[],[f2544,f1703,f2590,f2556]) ).
tff(f2590,plain,
( spl44_267
<=> path1(sK0,tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex)),tb2t3(get(int,vertex,t2tb1(sK7),sK40(t2tb(sK15),t2tb(sK3),vertex)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_267])]) ).
tff(f2544,plain,
( path1(sK0,tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex)),tb2t3(get(int,vertex,t2tb1(sK7),sK40(t2tb(sK15),t2tb(sK3),vertex))))
| ~ mem(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex),t2tb(sK6))
| ~ spl44_158 ),
inference(superposition,[],[f282,f1704]) ).
tff(f282,plain,
! [X13: vertex1] :
( path1(sK0,X13,tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X13))))
| ~ mem(vertex,t2tb2(X13),t2tb(sK6)) ),
inference(cnf_transformation,[],[f181]) ).
tff(f2588,plain,
( spl44_265
| spl44_266
| ~ spl44_156
| ~ spl44_158 ),
inference(avatar_split_clause,[],[f2581,f1703,f1689,f2586,f2583]) ).
tff(f2581,plain,
( ! [X11: uni] :
( mem(vertex,X11,t2tb(sK15))
| mem(vertex,X11,t2tb(sK16))
| ~ sort1(vertex,X11)
| ~ mem(vertex,X11,t2tb(g_succ1(tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex)))))
| ( sK12 = tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex)) ) )
| ~ spl44_156
| ~ spl44_158 ),
inference(subsumption_resolution,[],[f2554,f1690]) ).
tff(f2580,plain,
( ~ spl44_263
| spl44_264
| ~ spl44_158 ),
inference(avatar_split_clause,[],[f2538,f1703,f2578,f2575]) ).
tff(f2578,plain,
( spl44_264
<=> path1(sK0,tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex)),tb2t3(get(int,vertex,t2tb1(sK17),sK40(t2tb(sK15),t2tb(sK3),vertex)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_264])]) ).
tff(f2538,plain,
( path1(sK0,tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex)),tb2t3(get(int,vertex,t2tb1(sK17),sK40(t2tb(sK15),t2tb(sK3),vertex))))
| ~ mem(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex),t2tb(sK16))
| ~ spl44_158 ),
inference(superposition,[],[f262,f1704]) ).
tff(f262,plain,
! [X31: vertex1] :
( ~ mem(vertex,t2tb2(X31),t2tb(sK16))
| path1(sK0,X31,tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(X31)))) ),
inference(cnf_transformation,[],[f181]) ).
tff(f2573,plain,
( spl44_262
| ~ spl44_156
| ~ spl44_158 ),
inference(avatar_split_clause,[],[f2569,f1703,f1689,f2571]) ).
tff(f2569,plain,
( shortest_path1(sK0,tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex)),tb2t3(get(int,vertex,t2tb1(sK17),sK40(t2tb(sK15),t2tb(sK3),vertex))))
| ~ spl44_156
| ~ spl44_158 ),
inference(subsumption_resolution,[],[f2537,f1690]) ).
tff(f2568,plain,
( spl44_260
| ~ spl44_258
| spl44_261
| ~ spl44_158 ),
inference(avatar_split_clause,[],[f2542,f1703,f2566,f2556,f2563]) ).
tff(f2563,plain,
( spl44_260
<=> $less(tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK13(tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex)))))),tb2t3(get(int,vertex,t2tb1(sK7),sK40(t2tb(sK15),t2tb(sK3),vertex)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_260])]) ).
tff(f2566,plain,
( spl44_261
<=> ! [X4: $int,X5: vertex1] :
( ~ path1(sK0,X5,X4)
| mem(vertex,t2tb2(X5),t2tb(sK8))
| ~ $less(X4,tb2t3(get(int,vertex,t2tb1(sK7),sK40(t2tb(sK15),t2tb(sK3),vertex)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_261])]) ).
tff(f2542,plain,
( ! [X4: $int,X5: vertex1] :
( ~ path1(sK0,X5,X4)
| ~ $less(X4,tb2t3(get(int,vertex,t2tb1(sK7),sK40(t2tb(sK15),t2tb(sK3),vertex))))
| ~ mem(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex),t2tb(sK6))
| $less(tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK13(tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex)))))),tb2t3(get(int,vertex,t2tb1(sK7),sK40(t2tb(sK15),t2tb(sK3),vertex))))
| mem(vertex,t2tb2(X5),t2tb(sK8)) )
| ~ spl44_158 ),
inference(superposition,[],[f274,f1704]) ).
tff(f274,plain,
! [X16: $int,X14: vertex1,X17: vertex1] :
( ~ $less(X16,tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X14))))
| ~ path1(sK0,X17,X16)
| ~ mem(vertex,t2tb2(X14),t2tb(sK6))
| mem(vertex,t2tb2(X17),t2tb(sK8))
| $less(tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK13(X14)))),tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X14)))) ),
inference(cnf_transformation,[],[f181]) ).
tff(f2561,plain,
( ~ spl44_258
| ~ spl44_259
| ~ spl44_158 ),
inference(avatar_split_clause,[],[f2543,f1703,f2559,f2556]) ).
tff(f2543,plain,
( ~ mem(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex),t2tb(sK8))
| ~ mem(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex),t2tb(sK6))
| ~ spl44_158 ),
inference(superposition,[],[f281,f1704]) ).
tff(f281,plain,
! [X12: vertex1] :
( ~ mem(vertex,t2tb2(X12),t2tb(sK8))
| ~ mem(vertex,t2tb2(X12),t2tb(sK6)) ),
inference(cnf_transformation,[],[f181]) ).
tff(f2493,plain,
( ~ spl44_13
| spl44_255 ),
inference(avatar_contradiction_clause,[],[f2492]) ).
tff(f2492,plain,
( $false
| ~ spl44_13
| spl44_255 ),
inference(subsumption_resolution,[],[f2491,f456]) ).
tff(f456,plain,
( mem(vertex,t2tb2(sK20),t2tb(sK18))
| ~ spl44_13 ),
inference(avatar_component_clause,[],[f455]) ).
tff(f455,plain,
( spl44_13
<=> mem(vertex,t2tb2(sK20),t2tb(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_13])]) ).
tff(f2491,plain,
( ~ mem(vertex,t2tb2(sK20),t2tb(sK18))
| spl44_255 ),
inference(subsumption_resolution,[],[f2488,f384]) ).
tff(f2488,plain,
( ~ sort1(vertex,t2tb2(sK20))
| ~ mem(vertex,t2tb2(sK20),t2tb(sK18))
| spl44_255 ),
inference(resolution,[],[f2478,f891]) ).
tff(f891,plain,
! [X4: uni] :
( mem(vertex,X4,t2tb(g_succ1(sK12)))
| ~ sort1(vertex,X4)
| ~ mem(vertex,X4,t2tb(sK18)) ),
inference(superposition,[],[f772,f342]) ).
tff(f772,plain,
! [X1: uni] :
( mem(vertex,contents(vertex,X1),t2tb(g_succ1(sK12)))
| ~ mem(vertex,contents(vertex,X1),t2tb(sK18)) ),
inference(superposition,[],[f260,f683]) ).
tff(f2478,plain,
( ~ mem(vertex,t2tb2(sK20),t2tb(g_succ1(sK12)))
| spl44_255 ),
inference(avatar_component_clause,[],[f2477]) ).
tff(f2477,plain,
( spl44_255
<=> mem(vertex,t2tb2(sK20),t2tb(g_succ1(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_255])]) ).
tff(f2490,plain,
( ~ spl44_13
| spl44_255 ),
inference(avatar_contradiction_clause,[],[f2489]) ).
tff(f2489,plain,
( $false
| ~ spl44_13
| spl44_255 ),
inference(subsumption_resolution,[],[f2487,f456]) ).
tff(f2487,plain,
( ~ mem(vertex,t2tb2(sK20),t2tb(sK18))
| spl44_255 ),
inference(resolution,[],[f2478,f260]) ).
tff(f2486,plain,
( ~ spl44_255
| spl44_257
| ~ spl44_15 ),
inference(avatar_split_clause,[],[f2474,f462,f2484,f2477]) ).
tff(f2484,plain,
( spl44_257
<=> ! [X0: vertex1] :
( ~ path1(X0,sK12,tb2t3(get(int,vertex,t2tb1(sK25),t2tb2(sK12))))
| path1(X0,sK20,tb2t3(get(int,vertex,t2tb1(sK25),t2tb2(sK20)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_257])]) ).
tff(f462,plain,
( spl44_15
<=> ( tb2t3(get(int,vertex,t2tb1(sK25),t2tb2(sK20))) = $sum(tb2t3(get(int,vertex,t2tb1(sK25),t2tb2(sK12))),weight1(sK12,sK20)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_15])]) ).
tff(f2474,plain,
( ! [X0: vertex1] :
( ~ path1(X0,sK12,tb2t3(get(int,vertex,t2tb1(sK25),t2tb2(sK12))))
| path1(X0,sK20,tb2t3(get(int,vertex,t2tb1(sK25),t2tb2(sK20))))
| ~ mem(vertex,t2tb2(sK20),t2tb(g_succ1(sK12))) )
| ~ spl44_15 ),
inference(superposition,[],[f359,f463]) ).
tff(f463,plain,
( ( tb2t3(get(int,vertex,t2tb1(sK25),t2tb2(sK20))) = $sum(tb2t3(get(int,vertex,t2tb1(sK25),t2tb2(sK12))),weight1(sK12,sK20)) )
| ~ spl44_15 ),
inference(avatar_component_clause,[],[f462]) ).
tff(f359,plain,
! [X2: vertex1,X3: vertex1,X0: vertex1,X1: $int] :
( path1(X2,X0,$sum(X1,weight1(X3,X0)))
| ~ path1(X2,X3,X1)
| ~ mem(vertex,t2tb2(X0),t2tb(g_succ1(X3))) ),
inference(cnf_transformation,[],[f189]) ).
tff(f189,plain,
! [X1: $int,X3: vertex1,X0: vertex1,X2: vertex1] :
( path1(X2,X0,$sum(X1,weight1(X3,X0)))
| ~ mem(vertex,t2tb2(X0),t2tb(g_succ1(X3)))
| ~ path1(X2,X3,X1) ),
inference(flattening,[],[f188]) ).
tff(f188,plain,
! [X2: vertex1,X1: $int,X0: vertex1,X3: vertex1] :
( path1(X2,X0,$sum(X1,weight1(X3,X0)))
| ~ mem(vertex,t2tb2(X0),t2tb(g_succ1(X3)))
| ~ path1(X2,X3,X1) ),
inference(ennf_transformation,[],[f146]) ).
tff(f146,plain,
! [X2: vertex1,X1: $int,X0: vertex1,X3: vertex1] :
( path1(X2,X3,X1)
=> ( mem(vertex,t2tb2(X0),t2tb(g_succ1(X3)))
=> path1(X2,X0,$sum(X1,weight1(X3,X0))) ) ),
inference(rectify,[],[f66]) ).
tff(f66,axiom,
! [X4: vertex1,X20: $int,X1: vertex1,X7: vertex1] :
( path1(X1,X7,X20)
=> ( mem(vertex,t2tb2(X4),t2tb(g_succ1(X7)))
=> path1(X1,X4,$sum(X20,weight1(X7,X4))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',path_cons) ).
tff(f2482,plain,
( ~ spl44_255
| spl44_256
| ~ spl44_141 ),
inference(avatar_split_clause,[],[f2475,f1569,f2480,f2477]) ).
tff(f2480,plain,
( spl44_256
<=> ! [X1: vertex1] :
( ~ path1(X1,sK12,tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK12))))
| path1(X1,sK20,tb2t3(get(int,vertex,t2tb1(sK25),t2tb2(sK20)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_256])]) ).
tff(f1569,plain,
( spl44_141
<=> ( tb2t3(get(int,vertex,t2tb1(sK25),t2tb2(sK20))) = $sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK12))),weight1(sK12,sK20)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_141])]) ).
tff(f2475,plain,
( ! [X1: vertex1] :
( ~ path1(X1,sK12,tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK12))))
| ~ mem(vertex,t2tb2(sK20),t2tb(g_succ1(sK12)))
| path1(X1,sK20,tb2t3(get(int,vertex,t2tb1(sK25),t2tb2(sK20)))) )
| ~ spl44_141 ),
inference(superposition,[],[f359,f1570]) ).
tff(f1570,plain,
( ( tb2t3(get(int,vertex,t2tb1(sK25),t2tb2(sK20))) = $sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK12))),weight1(sK12,sK20)) )
| ~ spl44_141 ),
inference(avatar_component_clause,[],[f1569]) ).
tff(f2467,plain,
( spl44_254
| ~ spl44_228 ),
inference(avatar_split_clause,[],[f2463,f2254,f2465]) ).
tff(f2465,plain,
( spl44_254
<=> ( t2tb2(tb2t2(sK40(t2tb(sK24),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))),vertex))) = sK40(t2tb(sK24),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))),vertex) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_254])]) ).
tff(f2254,plain,
( spl44_228
<=> sort1(vertex,sK40(t2tb(sK24),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))),vertex)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_228])]) ).
tff(f2463,plain,
( ( t2tb2(tb2t2(sK40(t2tb(sK24),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))),vertex))) = sK40(t2tb(sK24),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))),vertex) )
| ~ spl44_228 ),
inference(resolution,[],[f2255,f399]) ).
tff(f2255,plain,
( sort1(vertex,sK40(t2tb(sK24),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))),vertex))
| ~ spl44_228 ),
inference(avatar_component_clause,[],[f2254]) ).
tff(f2452,plain,
( spl44_253
| ~ spl44_239 ),
inference(avatar_split_clause,[],[f2438,f2337,f2450]) ).
tff(f2450,plain,
( spl44_253
<=> subset(vertex,remove(vertex,t2tb2(sK20),remove(vertex,t2tb2(sK20),t2tb(sK16))),add(vertex,t2tb2(sK20),t2tb(sK24))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_253])]) ).
tff(f2337,plain,
( spl44_239
<=> ( add(vertex,t2tb2(sK20),remove(vertex,t2tb2(sK20),t2tb(sK16))) = t2tb(sK24) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_239])]) ).
tff(f2438,plain,
( subset(vertex,remove(vertex,t2tb2(sK20),remove(vertex,t2tb2(sK20),t2tb(sK16))),add(vertex,t2tb2(sK20),t2tb(sK24)))
| ~ spl44_239 ),
inference(superposition,[],[f1425,f2338]) ).
tff(f2338,plain,
( ( add(vertex,t2tb2(sK20),remove(vertex,t2tb2(sK20),t2tb(sK16))) = t2tb(sK24) )
| ~ spl44_239 ),
inference(avatar_component_clause,[],[f2337]) ).
tff(f1425,plain,
! [X2: uni,X0: ty,X1: uni] : subset(X0,remove(X0,X1,X2),add(X0,X1,add(X0,X1,X2))),
inference(superposition,[],[f1356,f330]) ).
tff(f330,plain,
! [X2: ty,X0: uni,X1: uni] : ( remove(X2,X0,add(X2,X0,X1)) = remove(X2,X0,X1) ),
inference(cnf_transformation,[],[f160]) ).
tff(f160,plain,
! [X0: uni,X1: uni,X2: ty] : ( remove(X2,X0,add(X2,X0,X1)) = remove(X2,X0,X1) ),
inference(rectify,[],[f27]) ).
tff(f27,axiom,
! [X1: uni,X10: uni,X0: ty] : ( remove(X0,X1,X10) = remove(X0,X1,add(X0,X1,X10)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',remove_add) ).
tff(f1356,plain,
! [X8: uni,X6: ty,X7: uni] : subset(X6,remove(X6,X7,X8),add(X6,X7,X8)),
inference(superposition,[],[f386,f330]) ).
tff(f386,plain,
! [X2: uni,X0: ty,X1: uni] : subset(X0,remove(X0,X2,X1),X1),
inference(cnf_transformation,[],[f147]) ).
tff(f147,plain,
! [X2: uni,X0: ty,X1: uni] : subset(X0,remove(X0,X2,X1),X1),
inference(rectify,[],[f28]) ).
tff(f28,axiom,
! [X0: ty,X10: uni,X1: uni] : subset(X0,remove(X0,X1,X10),X10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_remove) ).
tff(f2447,plain,
( spl44_252
| ~ spl44_239 ),
inference(avatar_split_clause,[],[f2437,f2337,f2445]) ).
tff(f2445,plain,
( spl44_252
<=> subset(vertex,remove(vertex,t2tb2(sK20),remove(vertex,t2tb2(sK20),t2tb(sK16))),t2tb(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_252])]) ).
tff(f2437,plain,
( subset(vertex,remove(vertex,t2tb2(sK20),remove(vertex,t2tb2(sK20),t2tb(sK16))),t2tb(sK24))
| ~ spl44_239 ),
inference(superposition,[],[f1356,f2338]) ).
tff(f2443,plain,
( spl44_251
| ~ spl44_131
| ~ spl44_239 ),
inference(avatar_split_clause,[],[f2439,f2337,f1358,f2441]) ).
tff(f2441,plain,
( spl44_251
<=> ( remove(vertex,t2tb2(sK20),t2tb(sK16)) = remove(vertex,t2tb2(sK20),remove(vertex,t2tb2(sK20),t2tb(sK16))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_251])]) ).
tff(f1358,plain,
( spl44_131
<=> ( remove(vertex,t2tb2(sK20),t2tb(sK16)) = remove(vertex,t2tb2(sK20),t2tb(sK24)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_131])]) ).
tff(f2439,plain,
( ( remove(vertex,t2tb2(sK20),t2tb(sK16)) = remove(vertex,t2tb2(sK20),remove(vertex,t2tb2(sK20),t2tb(sK16))) )
| ~ spl44_131
| ~ spl44_239 ),
inference(forward_demodulation,[],[f2434,f1359]) ).
tff(f1359,plain,
( ( remove(vertex,t2tb2(sK20),t2tb(sK16)) = remove(vertex,t2tb2(sK20),t2tb(sK24)) )
| ~ spl44_131 ),
inference(avatar_component_clause,[],[f1358]) ).
tff(f2434,plain,
( ( remove(vertex,t2tb2(sK20),remove(vertex,t2tb2(sK20),t2tb(sK16))) = remove(vertex,t2tb2(sK20),t2tb(sK24)) )
| ~ spl44_239 ),
inference(superposition,[],[f330,f2338]) ).
tff(f2419,plain,
( ~ spl44_250
| spl44_248 ),
inference(avatar_split_clause,[],[f2415,f2409,f2417]) ).
tff(f2417,plain,
( spl44_250
<=> ( 0 = cardinal1(vertex,t2tb(sK16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_250])]) ).
tff(f2409,plain,
( spl44_248
<=> ( 1 = $sum(1,cardinal1(vertex,t2tb(sK16))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_248])]) ).
tff(f2415,plain,
( ( 0 != cardinal1(vertex,t2tb(sK16)) )
| spl44_248 ),
inference(cancellation,[],[f2410]) ).
tff(f2410,plain,
( ( 1 != $sum(1,cardinal1(vertex,t2tb(sK16))) )
| spl44_248 ),
inference(avatar_component_clause,[],[f2409]) ).
tff(f2414,plain,
( ~ spl44_248
| spl44_249
| ~ spl44_143 ),
inference(avatar_split_clause,[],[f2406,f1610,f2412,f2409]) ).
tff(f2412,plain,
( spl44_249
<=> ! [X7: uni] :
( ~ mem(vertex,X7,t2tb(sK24))
| ~ sort1(vertex,X7)
| ( choose(vertex,t2tb(sK24)) = X7 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_249])]) ).
tff(f1610,plain,
( spl44_143
<=> ( $sum(1,cardinal1(vertex,t2tb(sK16))) = cardinal1(vertex,t2tb(sK24)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_143])]) ).
tff(f2406,plain,
( ! [X7: uni] :
( ~ mem(vertex,X7,t2tb(sK24))
| ( choose(vertex,t2tb(sK24)) = X7 )
| ~ sort1(vertex,X7)
| ( 1 != $sum(1,cardinal1(vertex,t2tb(sK16))) ) )
| ~ spl44_143 ),
inference(superposition,[],[f382,f1611]) ).
tff(f1611,plain,
( ( $sum(1,cardinal1(vertex,t2tb(sK16))) = cardinal1(vertex,t2tb(sK24)) )
| ~ spl44_143 ),
inference(avatar_component_clause,[],[f1610]) ).
tff(f382,plain,
! [X2: uni,X0: uni,X1: ty] :
( ( 1 != cardinal1(X1,X0) )
| ( choose(X1,X0) = X2 )
| ~ mem(X1,X2,X0)
| ~ sort1(X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
tff(f175,plain,
! [X1: ty,X0: uni] :
( ( 1 != cardinal1(X1,X0) )
| ! [X2: uni] :
( ( choose(X1,X0) = X2 )
| ~ sort1(X1,X2)
| ~ mem(X1,X2,X0) ) ),
inference(flattening,[],[f174]) ).
tff(f174,plain,
! [X0: uni,X1: ty] :
( ! [X2: uni] :
( ( choose(X1,X0) = X2 )
| ~ mem(X1,X2,X0)
| ~ sort1(X1,X2) )
| ( 1 != cardinal1(X1,X0) ) ),
inference(ennf_transformation,[],[f116]) ).
tff(f116,plain,
! [X0: uni,X1: ty] :
( ( 1 = cardinal1(X1,X0) )
=> ! [X2: uni] :
( sort1(X1,X2)
=> ( mem(X1,X2,X0)
=> ( choose(X1,X0) = X2 ) ) ) ),
inference(rectify,[],[f43]) ).
tff(f43,axiom,
! [X10: uni,X0: ty] :
( ( cardinal1(X0,X10) = 1 )
=> ! [X1: uni] :
( sort1(X0,X1)
=> ( mem(X0,X1,X10)
=> ( choose(X0,X10) = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cardinal1) ).
tff(f2399,plain,
( ~ spl44_247
| spl44_242 ),
inference(avatar_split_clause,[],[f2392,f2373,f2396]) ).
tff(f2396,plain,
( spl44_247
<=> mem(vertex,t2tb2(sK0),t2tb(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_247])]) ).
tff(f2373,plain,
( spl44_242
<=> mem(vertex,t2tb2(sK0),t2tb(g_succ1(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_242])]) ).
tff(f2392,plain,
( ~ mem(vertex,t2tb2(sK0),t2tb(sK18))
| spl44_242 ),
inference(resolution,[],[f2374,f260]) ).
tff(f2374,plain,
( ~ mem(vertex,t2tb2(sK0),t2tb(g_succ1(sK12)))
| spl44_242 ),
inference(avatar_component_clause,[],[f2373]) ).
tff(f2398,plain,
( ~ spl44_247
| spl44_242 ),
inference(avatar_split_clause,[],[f2394,f2373,f2396]) ).
tff(f2394,plain,
( ~ mem(vertex,t2tb2(sK0),t2tb(sK18))
| spl44_242 ),
inference(subsumption_resolution,[],[f2393,f384]) ).
tff(f2393,plain,
( ~ mem(vertex,t2tb2(sK0),t2tb(sK18))
| ~ sort1(vertex,t2tb2(sK0))
| spl44_242 ),
inference(resolution,[],[f2374,f891]) ).
tff(f2391,plain,
( ~ spl44_246
| ~ spl44_40
| spl44_95 ),
inference(avatar_split_clause,[],[f2369,f963,f568,f2389]) ).
tff(f2389,plain,
( spl44_246
<=> mem(vertex,choose(vertex,t2tb(g_succ1(sK12))),t2tb(sK15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_246])]) ).
tff(f568,plain,
( spl44_40
<=> ( sK26 = sK12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_40])]) ).
tff(f963,plain,
( spl44_95
<=> mem(vertex,choose(vertex,t2tb(g_succ1(sK26))),t2tb(sK15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_95])]) ).
tff(f2369,plain,
( ~ mem(vertex,choose(vertex,t2tb(g_succ1(sK12))),t2tb(sK15))
| ~ spl44_40
| spl44_95 ),
inference(backward_demodulation,[],[f1011,f974]) ).
tff(f974,plain,
( ( sK26 = sK12 )
| ~ spl44_40 ),
inference(avatar_component_clause,[],[f568]) ).
tff(f1011,plain,
( ~ mem(vertex,choose(vertex,t2tb(g_succ1(sK26))),t2tb(sK15))
| spl44_95 ),
inference(avatar_component_clause,[],[f963]) ).
tff(f2387,plain,
( ~ spl44_245
| ~ spl44_40
| spl44_91 ),
inference(avatar_split_clause,[],[f2368,f949,f568,f2385]) ).
tff(f2385,plain,
( spl44_245
<=> mem(vertex,sK38(t2tb(g_succ1(sK12)),vertex),t2tb(sK15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_245])]) ).
tff(f949,plain,
( spl44_91
<=> mem(vertex,sK38(t2tb(g_succ1(sK26)),vertex),t2tb(sK15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_91])]) ).
tff(f2368,plain,
( ~ mem(vertex,sK38(t2tb(g_succ1(sK12)),vertex),t2tb(sK15))
| ~ spl44_40
| spl44_91 ),
inference(backward_demodulation,[],[f1006,f974]) ).
tff(f1006,plain,
( ~ mem(vertex,sK38(t2tb(g_succ1(sK26)),vertex),t2tb(sK15))
| spl44_91 ),
inference(avatar_component_clause,[],[f949]) ).
tff(f2383,plain,
( spl44_244
| ~ spl44_40
| ~ spl44_92 ),
inference(avatar_split_clause,[],[f2366,f952,f568,f2381]) ).
tff(f2381,plain,
( spl44_244
<=> mem(vertex,sK38(t2tb(g_succ1(sK12)),vertex),t2tb(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_244])]) ).
tff(f952,plain,
( spl44_92
<=> mem(vertex,sK38(t2tb(g_succ1(sK26)),vertex),t2tb(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_92])]) ).
tff(f2366,plain,
( mem(vertex,sK38(t2tb(g_succ1(sK12)),vertex),t2tb(sK16))
| ~ spl44_40
| ~ spl44_92 ),
inference(backward_demodulation,[],[f953,f974]) ).
tff(f953,plain,
( mem(vertex,sK38(t2tb(g_succ1(sK26)),vertex),t2tb(sK16))
| ~ spl44_92 ),
inference(avatar_component_clause,[],[f952]) ).
tff(f2379,plain,
( spl44_243
| ~ spl44_40
| ~ spl44_94 ),
inference(avatar_split_clause,[],[f2367,f960,f568,f2377]) ).
tff(f2377,plain,
( spl44_243
<=> mem(vertex,choose(vertex,t2tb(g_succ1(sK12))),t2tb(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_243])]) ).
tff(f960,plain,
( spl44_94
<=> mem(vertex,choose(vertex,t2tb(g_succ1(sK26))),t2tb(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_94])]) ).
tff(f2367,plain,
( mem(vertex,choose(vertex,t2tb(g_succ1(sK12))),t2tb(sK16))
| ~ spl44_40
| ~ spl44_94 ),
inference(backward_demodulation,[],[f961,f974]) ).
tff(f961,plain,
( mem(vertex,choose(vertex,t2tb(g_succ1(sK26))),t2tb(sK16))
| ~ spl44_94 ),
inference(avatar_component_clause,[],[f960]) ).
tff(f2375,plain,
( ~ spl44_242
| ~ spl44_40
| spl44_109 ),
inference(avatar_split_clause,[],[f2370,f1095,f568,f2373]) ).
tff(f1095,plain,
( spl44_109
<=> mem(vertex,t2tb2(sK0),t2tb(g_succ1(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_109])]) ).
tff(f2370,plain,
( ~ mem(vertex,t2tb2(sK0),t2tb(g_succ1(sK12)))
| ~ spl44_40
| spl44_109 ),
inference(backward_demodulation,[],[f1096,f974]) ).
tff(f1096,plain,
( ~ mem(vertex,t2tb2(sK0),t2tb(g_succ1(sK26)))
| spl44_109 ),
inference(avatar_component_clause,[],[f1095]) ).
tff(f2361,plain,
( spl44_40
| spl44_97
| ~ spl44_26 ),
inference(avatar_split_clause,[],[f1312,f508,f972,f568]) ).
tff(f972,plain,
( spl44_97
<=> ! [X0: vertex1] :
( ~ mem(vertex,t2tb2(X0),t2tb(g_succ1(sK26)))
| mem(vertex,t2tb2(X0),t2tb(sK16))
| mem(vertex,t2tb2(X0),t2tb(sK15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_97])]) ).
tff(f508,plain,
( spl44_26
<=> mem(vertex,t2tb2(sK26),t2tb(sK15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_26])]) ).
tff(f1312,plain,
( ! [X0: vertex1] :
( mem(vertex,t2tb2(X0),t2tb(sK15))
| mem(vertex,t2tb2(X0),t2tb(sK16))
| ( sK26 = sK12 )
| ~ mem(vertex,t2tb2(X0),t2tb(g_succ1(sK26))) )
| ~ spl44_26 ),
inference(resolution,[],[f251,f509]) ).
tff(f509,plain,
( mem(vertex,t2tb2(sK26),t2tb(sK15))
| ~ spl44_26 ),
inference(avatar_component_clause,[],[f508]) ).
tff(f2360,plain,
( spl44_40
| spl44_241
| ~ spl44_26 ),
inference(avatar_split_clause,[],[f1031,f508,f2356,f568]) ).
tff(f2356,plain,
( spl44_241
<=> ! [X0: vertex1] :
( ~ $less($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK26))),weight1(sK26,X0)),tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(X0))))
| ~ mem(vertex,t2tb2(X0),t2tb(g_succ1(sK26))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_241])]) ).
tff(f1031,plain,
( ! [X0: vertex1] :
( ~ $less($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK26))),weight1(sK26,X0)),tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(X0))))
| ~ mem(vertex,t2tb2(X0),t2tb(g_succ1(sK26)))
| ( sK26 = sK12 ) )
| ~ spl44_26 ),
inference(resolution,[],[f254,f509]) ).
tff(f2359,plain,
( ~ spl44_52
| spl44_1
| ~ spl44_71 ),
inference(avatar_split_clause,[],[f2347,f758,f411,f642]) ).
tff(f411,plain,
( spl44_1
<=> mem(vertex,t2tb2(sK29),t2tb(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_1])]) ).
tff(f758,plain,
( spl44_71
<=> ( add(vertex,t2tb2(sK20),t2tb(sK16)) = t2tb(sK24) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_71])]) ).
tff(f2347,plain,
( ~ mem(vertex,t2tb2(sK29),t2tb(sK16))
| spl44_1
| ~ spl44_71 ),
inference(subsumption_resolution,[],[f2346,f384]) ).
tff(f2346,plain,
( ~ sort1(vertex,t2tb2(sK29))
| ~ mem(vertex,t2tb2(sK29),t2tb(sK16))
| spl44_1
| ~ spl44_71 ),
inference(resolution,[],[f2133,f412]) ).
tff(f412,plain,
( ~ mem(vertex,t2tb2(sK29),t2tb(sK24))
| spl44_1 ),
inference(avatar_component_clause,[],[f411]) ).
tff(f2133,plain,
( ! [X1: uni] :
( mem(vertex,X1,t2tb(sK24))
| ~ mem(vertex,X1,t2tb(sK16))
| ~ sort1(vertex,X1) )
| ~ spl44_71 ),
inference(subsumption_resolution,[],[f2131,f384]) ).
tff(f2131,plain,
( ! [X1: uni] :
( ~ mem(vertex,X1,t2tb(sK16))
| ~ sort1(vertex,t2tb2(sK20))
| ~ sort1(vertex,X1)
| mem(vertex,X1,t2tb(sK24)) )
| ~ spl44_71 ),
inference(superposition,[],[f296,f759]) ).
tff(f759,plain,
( ( add(vertex,t2tb2(sK20),t2tb(sK16)) = t2tb(sK24) )
| ~ spl44_71 ),
inference(avatar_component_clause,[],[f758]) ).
tff(f296,plain,
! [X2: uni,X3: uni,X0: uni,X1: ty] :
( mem(X1,X0,add(X1,X2,X3))
| ~ mem(X1,X0,X3)
| ~ sort1(X1,X2)
| ~ sort1(X1,X0) ),
inference(cnf_transformation,[],[f208]) ).
tff(f208,plain,
! [X0: uni,X2: uni,X1: ty] :
( ~ sort1(X1,X2)
| ! [X3: uni] :
( mem(X1,X0,add(X1,X2,X3))
<=> ( ( X0 = X2 )
| mem(X1,X0,X3) ) )
| ~ sort1(X1,X0) ),
inference(flattening,[],[f207]) ).
tff(f207,plain,
! [X0: uni,X2: uni,X1: ty] :
( ! [X3: uni] :
( mem(X1,X0,add(X1,X2,X3))
<=> ( ( X0 = X2 )
| mem(X1,X0,X3) ) )
| ~ sort1(X1,X2)
| ~ sort1(X1,X0) ),
inference(ennf_transformation,[],[f135]) ).
tff(f135,plain,
! [X0: uni,X2: uni,X1: ty] :
( sort1(X1,X0)
=> ( sort1(X1,X2)
=> ! [X3: uni] :
( mem(X1,X0,add(X1,X2,X3))
<=> ( ( X0 = X2 )
| mem(X1,X0,X3) ) ) ) ),
inference(rectify,[],[f23]) ).
tff(f23,axiom,
! [X1: uni,X0: ty,X7: uni] :
( sort1(X0,X1)
=> ( sort1(X0,X7)
=> ! [X10: uni] :
( ( ( X1 = X7 )
| mem(X0,X1,X10) )
<=> mem(X0,X1,add(X0,X7,X10)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_def1) ).
tff(f2358,plain,
( spl44_40
| spl44_241
| ~ spl44_26 ),
inference(avatar_split_clause,[],[f1279,f508,f2356,f568]) ).
tff(f1279,plain,
( ! [X0: vertex1] :
( ~ $less($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK26))),weight1(sK26,X0)),tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(X0))))
| ( sK26 = sK12 )
| ~ mem(vertex,t2tb2(X0),t2tb(g_succ1(sK26))) )
| ~ spl44_26 ),
inference(resolution,[],[f509,f254]) ).
tff(f2354,plain,
( spl44_40
| spl44_97
| ~ spl44_26 ),
inference(avatar_split_clause,[],[f1000,f508,f972,f568]) ).
tff(f1000,plain,
( ! [X0: vertex1] :
( ~ mem(vertex,t2tb2(X0),t2tb(g_succ1(sK26)))
| ( sK26 = sK12 )
| mem(vertex,t2tb2(X0),t2tb(sK15))
| mem(vertex,t2tb2(X0),t2tb(sK16)) )
| ~ spl44_26 ),
inference(resolution,[],[f509,f251]) ).
tff(f2353,plain,
( spl44_240
| spl44_40
| ~ spl44_26 ),
inference(avatar_split_clause,[],[f1338,f508,f568,f2351]) ).
tff(f2351,plain,
( spl44_240
<=> ! [X0: uni] :
( ~ sort1(vertex,X0)
| mem(vertex,X0,t2tb(sK15))
| ~ mem(vertex,X0,t2tb(g_succ1(sK26)))
| mem(vertex,X0,t2tb(sK16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_240])]) ).
tff(f1338,plain,
( ! [X0: uni] :
( ( sK26 = sK12 )
| ~ sort1(vertex,X0)
| mem(vertex,X0,t2tb(sK16))
| ~ mem(vertex,X0,t2tb(g_succ1(sK26)))
| mem(vertex,X0,t2tb(sK15)) )
| ~ spl44_26 ),
inference(resolution,[],[f1335,f509]) ).
tff(f2349,plain,
( spl44_1
| ~ spl44_52
| ~ spl44_71 ),
inference(avatar_contradiction_clause,[],[f2348]) ).
tff(f2348,plain,
( $false
| spl44_1
| ~ spl44_52
| ~ spl44_71 ),
inference(subsumption_resolution,[],[f2347,f790]) ).
tff(f790,plain,
( mem(vertex,t2tb2(sK29),t2tb(sK16))
| ~ spl44_52 ),
inference(avatar_component_clause,[],[f642]) ).
tff(f2339,plain,
( spl44_239
| ~ spl44_17
| ~ spl44_131 ),
inference(avatar_split_clause,[],[f2335,f1358,f471,f2337]) ).
tff(f471,plain,
( spl44_17
<=> mem(vertex,t2tb2(sK20),t2tb(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_17])]) ).
tff(f2335,plain,
( ( add(vertex,t2tb2(sK20),remove(vertex,t2tb2(sK20),t2tb(sK16))) = t2tb(sK24) )
| ~ spl44_17
| ~ spl44_131 ),
inference(subsumption_resolution,[],[f2334,f472]) ).
tff(f472,plain,
( mem(vertex,t2tb2(sK20),t2tb(sK24))
| ~ spl44_17 ),
inference(avatar_component_clause,[],[f471]) ).
tff(f2334,plain,
( ( add(vertex,t2tb2(sK20),remove(vertex,t2tb2(sK20),t2tb(sK16))) = t2tb(sK24) )
| ~ mem(vertex,t2tb2(sK20),t2tb(sK24))
| ~ spl44_131 ),
inference(subsumption_resolution,[],[f2325,f353]) ).
tff(f353,plain,
! [X0: set_vertex] : sort1(set(vertex),t2tb(X0)),
inference(cnf_transformation,[],[f96]) ).
tff(f96,plain,
! [X0: set_vertex] : sort1(set(vertex),t2tb(X0)),
inference(rectify,[],[f50]) ).
tff(f50,axiom,
! [X1: set_vertex] : sort1(set(vertex),t2tb(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort) ).
tff(f2325,plain,
( ( add(vertex,t2tb2(sK20),remove(vertex,t2tb2(sK20),t2tb(sK16))) = t2tb(sK24) )
| ~ sort1(set(vertex),t2tb(sK24))
| ~ mem(vertex,t2tb2(sK20),t2tb(sK24))
| ~ spl44_131 ),
inference(superposition,[],[f347,f1359]) ).
tff(f347,plain,
! [X2: uni,X0: ty,X1: uni] :
( ( add(X0,X2,remove(X0,X2,X1)) = X1 )
| ~ mem(X0,X2,X1)
| ~ sort1(set(X0),X1) ),
inference(cnf_transformation,[],[f212]) ).
tff(f212,plain,
! [X2: uni,X0: ty,X1: uni] :
( ~ sort1(set(X0),X1)
| ~ mem(X0,X2,X1)
| ( add(X0,X2,remove(X0,X2,X1)) = X1 ) ),
inference(flattening,[],[f211]) ).
tff(f211,plain,
! [X1: uni,X2: uni,X0: ty] :
( ( add(X0,X2,remove(X0,X2,X1)) = X1 )
| ~ mem(X0,X2,X1)
| ~ sort1(set(X0),X1) ),
inference(ennf_transformation,[],[f125]) ).
tff(f125,plain,
! [X1: uni,X2: uni,X0: ty] :
( sort1(set(X0),X1)
=> ( mem(X0,X2,X1)
=> ( add(X0,X2,remove(X0,X2,X1)) = X1 ) ) ),
inference(rectify,[],[f26]) ).
tff(f26,axiom,
! [X0: ty,X10: uni,X1: uni] :
( sort1(set(X0),X10)
=> ( mem(X0,X1,X10)
=> ( add(X0,X1,remove(X0,X1,X10)) = X10 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_remove) ).
tff(f2323,plain,
( ~ spl44_238
| ~ spl44_237
| ~ spl44_26
| spl44_40
| ~ spl44_229 ),
inference(avatar_split_clause,[],[f2270,f2260,f568,f508,f2317,f2320]) ).
tff(f2320,plain,
( spl44_238
<=> mem(vertex,choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))),t2tb(g_succ1(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_238])]) ).
tff(f2317,plain,
( spl44_237
<=> $less($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK26))),weight1(sK26,sK12)),tb2t3(get(int,vertex,t2tb1(sK17),choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_237])]) ).
tff(f2260,plain,
( spl44_229
<=> ( tb2t2(choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15)))) = sK12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_229])]) ).
tff(f2270,plain,
( ~ $less($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK26))),weight1(sK26,sK12)),tb2t3(get(int,vertex,t2tb1(sK17),choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))))))
| ~ mem(vertex,choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))),t2tb(g_succ1(sK26)))
| ~ spl44_26
| spl44_40
| ~ spl44_229 ),
inference(superposition,[],[f1092,f2261]) ).
tff(f2261,plain,
( ( tb2t2(choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15)))) = sK12 )
| ~ spl44_229 ),
inference(avatar_component_clause,[],[f2260]) ).
tff(f1092,plain,
( ! [X1: uni] :
( ~ $less($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK26))),weight1(sK26,tb2t2(choose(vertex,X1)))),tb2t3(get(int,vertex,t2tb1(sK17),choose(vertex,X1))))
| ~ mem(vertex,choose(vertex,X1),t2tb(g_succ1(sK26))) )
| ~ spl44_26
| spl44_40 ),
inference(superposition,[],[f1035,f684]) ).
tff(f684,plain,
! [X5: uni] : ( t2tb2(tb2t2(choose(vertex,X5))) = choose(vertex,X5) ),
inference(resolution,[],[f399,f394]) ).
tff(f394,plain,
! [X0: ty,X1: uni] : sort1(X0,choose(X0,X1)),
inference(cnf_transformation,[],[f36]) ).
tff(f36,axiom,
! [X1: uni,X0: ty] : sort1(X0,choose(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',choose_sort1) ).
tff(f1035,plain,
( ! [X0: vertex1] :
( ~ $less($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK26))),weight1(sK26,X0)),tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(X0))))
| ~ mem(vertex,t2tb2(X0),t2tb(g_succ1(sK26))) )
| ~ spl44_26
| spl44_40 ),
inference(subsumption_resolution,[],[f1031,f569]) ).
tff(f569,plain,
( ( sK26 != sK12 )
| spl44_40 ),
inference(avatar_component_clause,[],[f568]) ).
tff(f2322,plain,
( ~ spl44_237
| ~ spl44_238
| ~ spl44_26
| spl44_40
| ~ spl44_229 ),
inference(avatar_split_clause,[],[f2315,f2260,f568,f508,f2320,f2317]) ).
tff(f2315,plain,
( ~ mem(vertex,choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))),t2tb(g_succ1(sK26)))
| ~ $less($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK26))),weight1(sK26,sK12)),tb2t3(get(int,vertex,t2tb1(sK17),choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))))))
| ~ spl44_26
| spl44_40
| ~ spl44_229 ),
inference(subsumption_resolution,[],[f2280,f394]) ).
tff(f2280,plain,
( ~ mem(vertex,choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))),t2tb(g_succ1(sK26)))
| ~ sort1(vertex,choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))))
| ~ $less($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK26))),weight1(sK26,sK12)),tb2t3(get(int,vertex,t2tb1(sK17),choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))))))
| ~ spl44_26
| spl44_40
| ~ spl44_229 ),
inference(superposition,[],[f1144,f2261]) ).
tff(f1144,plain,
( ! [X0: uni] :
( ~ $less($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK26))),weight1(sK26,tb2t2(X0))),tb2t3(get(int,vertex,t2tb1(sK17),X0)))
| ~ sort1(vertex,X0)
| ~ mem(vertex,X0,t2tb(g_succ1(sK26))) )
| ~ spl44_26
| spl44_40 ),
inference(superposition,[],[f1091,f342]) ).
tff(f1091,plain,
( ! [X0: uni] :
( ~ $less($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK26))),weight1(sK26,tb2t2(contents(vertex,X0)))),tb2t3(get(int,vertex,t2tb1(sK17),contents(vertex,X0))))
| ~ mem(vertex,contents(vertex,X0),t2tb(g_succ1(sK26))) )
| ~ spl44_26
| spl44_40 ),
inference(superposition,[],[f1035,f683]) ).
tff(f2314,plain,
( spl44_235
| ~ spl44_179
| ~ spl44_229 ),
inference(avatar_split_clause,[],[f2313,f2260,f1877,f2301]) ).
tff(f2301,plain,
( spl44_235
<=> shortest_path1(sK0,sK12,tb2t3(get(int,vertex,t2tb1(sK7),choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_235])]) ).
tff(f1877,plain,
( spl44_179
<=> mem(vertex,choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))),t2tb(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_179])]) ).
tff(f2313,plain,
( shortest_path1(sK0,sK12,tb2t3(get(int,vertex,t2tb1(sK7),choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))))))
| ~ spl44_179
| ~ spl44_229 ),
inference(subsumption_resolution,[],[f2271,f1878]) ).
tff(f1878,plain,
( mem(vertex,choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))),t2tb(sK8))
| ~ spl44_179 ),
inference(avatar_component_clause,[],[f1877]) ).
tff(f2271,plain,
( ~ mem(vertex,choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))),t2tb(sK8))
| shortest_path1(sK0,sK12,tb2t3(get(int,vertex,t2tb1(sK7),choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))))))
| ~ spl44_229 ),
inference(superposition,[],[f813,f2261]) ).
tff(f813,plain,
! [X11: uni] :
( shortest_path1(sK0,tb2t2(choose(vertex,X11)),tb2t3(get(int,vertex,t2tb1(sK7),choose(vertex,X11))))
| ~ mem(vertex,choose(vertex,X11),t2tb(sK8)) ),
inference(superposition,[],[f283,f684]) ).
tff(f2312,plain,
( spl44_236
| ~ spl44_214
| ~ spl44_229 ),
inference(avatar_split_clause,[],[f2311,f2260,f2151,f2307]) ).
tff(f2307,plain,
( spl44_236
<=> shortest_path1(sK0,sK12,tb2t3(get(int,vertex,t2tb1(sK17),choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_236])]) ).
tff(f2151,plain,
( spl44_214
<=> mem(vertex,choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))),t2tb(sK15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_214])]) ).
tff(f2311,plain,
( shortest_path1(sK0,sK12,tb2t3(get(int,vertex,t2tb1(sK17),choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))))))
| ~ spl44_214
| ~ spl44_229 ),
inference(subsumption_resolution,[],[f2274,f2152]) ).
tff(f2152,plain,
( mem(vertex,choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))),t2tb(sK15))
| ~ spl44_214 ),
inference(avatar_component_clause,[],[f2151]) ).
tff(f2274,plain,
( shortest_path1(sK0,sK12,tb2t3(get(int,vertex,t2tb1(sK17),choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))))))
| ~ mem(vertex,choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))),t2tb(sK15))
| ~ spl44_229 ),
inference(superposition,[],[f807,f2261]) ).
tff(f807,plain,
! [X4: uni] :
( shortest_path1(sK0,tb2t2(choose(vertex,X4)),tb2t3(get(int,vertex,t2tb1(sK17),choose(vertex,X4))))
| ~ mem(vertex,choose(vertex,X4),t2tb(sK15)) ),
inference(superposition,[],[f261,f684]) ).
tff(f2310,plain,
( ~ spl44_234
| spl44_233
| ~ spl44_229 ),
inference(avatar_split_clause,[],[f2273,f2260,f2292,f2295]) ).
tff(f2295,plain,
( spl44_234
<=> mem(vertex,choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))),t2tb(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_234])]) ).
tff(f2292,plain,
( spl44_233
<=> path1(sK0,sK12,tb2t3(get(int,vertex,t2tb1(sK17),choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_233])]) ).
tff(f2273,plain,
( path1(sK0,sK12,tb2t3(get(int,vertex,t2tb1(sK17),choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))))))
| ~ mem(vertex,choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))),t2tb(sK16))
| ~ spl44_229 ),
inference(superposition,[],[f808,f2261]) ).
tff(f808,plain,
! [X5: uni] :
( path1(sK0,tb2t2(choose(vertex,X5)),tb2t3(get(int,vertex,t2tb1(sK17),choose(vertex,X5))))
| ~ mem(vertex,choose(vertex,X5),t2tb(sK16)) ),
inference(superposition,[],[f262,f684]) ).
tff(f2309,plain,
( spl44_236
| ~ spl44_214
| ~ spl44_229 ),
inference(avatar_split_clause,[],[f2305,f2260,f2151,f2307]) ).
tff(f2305,plain,
( shortest_path1(sK0,sK12,tb2t3(get(int,vertex,t2tb1(sK17),choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))))))
| ~ spl44_214
| ~ spl44_229 ),
inference(subsumption_resolution,[],[f2304,f2152]) ).
tff(f2304,plain,
( ~ mem(vertex,choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))),t2tb(sK15))
| shortest_path1(sK0,sK12,tb2t3(get(int,vertex,t2tb1(sK17),choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))))))
| ~ spl44_229 ),
inference(subsumption_resolution,[],[f2276,f394]) ).
tff(f2276,plain,
( ~ sort1(vertex,choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))))
| shortest_path1(sK0,sK12,tb2t3(get(int,vertex,t2tb1(sK17),choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))))))
| ~ mem(vertex,choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))),t2tb(sK15))
| ~ spl44_229 ),
inference(superposition,[],[f892,f2261]) ).
tff(f892,plain,
! [X5: uni] :
( shortest_path1(sK0,tb2t2(X5),tb2t3(get(int,vertex,t2tb1(sK17),X5)))
| ~ sort1(vertex,X5)
| ~ mem(vertex,X5,t2tb(sK15)) ),
inference(superposition,[],[f773,f342]) ).
tff(f773,plain,
! [X2: uni] :
( shortest_path1(sK0,tb2t2(contents(vertex,X2)),tb2t3(get(int,vertex,t2tb1(sK17),contents(vertex,X2))))
| ~ mem(vertex,contents(vertex,X2),t2tb(sK15)) ),
inference(superposition,[],[f261,f683]) ).
tff(f2303,plain,
( spl44_235
| ~ spl44_179
| ~ spl44_229 ),
inference(avatar_split_clause,[],[f2299,f2260,f1877,f2301]) ).
tff(f2299,plain,
( shortest_path1(sK0,sK12,tb2t3(get(int,vertex,t2tb1(sK7),choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))))))
| ~ spl44_179
| ~ spl44_229 ),
inference(subsumption_resolution,[],[f2298,f394]) ).
tff(f2298,plain,
( shortest_path1(sK0,sK12,tb2t3(get(int,vertex,t2tb1(sK7),choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))))))
| ~ sort1(vertex,choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))))
| ~ spl44_179
| ~ spl44_229 ),
inference(subsumption_resolution,[],[f2279,f1878]) ).
tff(f2279,plain,
( ~ mem(vertex,choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))),t2tb(sK8))
| shortest_path1(sK0,sK12,tb2t3(get(int,vertex,t2tb1(sK7),choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))))))
| ~ sort1(vertex,choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))))
| ~ spl44_229 ),
inference(superposition,[],[f898,f2261]) ).
tff(f898,plain,
! [X12: uni] :
( shortest_path1(sK0,tb2t2(X12),tb2t3(get(int,vertex,t2tb1(sK7),X12)))
| ~ mem(vertex,X12,t2tb(sK8))
| ~ sort1(vertex,X12) ),
inference(superposition,[],[f779,f342]) ).
tff(f779,plain,
! [X9: uni] :
( shortest_path1(sK0,tb2t2(contents(vertex,X9)),tb2t3(get(int,vertex,t2tb1(sK7),contents(vertex,X9))))
| ~ mem(vertex,contents(vertex,X9),t2tb(sK8)) ),
inference(superposition,[],[f283,f683]) ).
tff(f2297,plain,
( spl44_233
| ~ spl44_234
| ~ spl44_229 ),
inference(avatar_split_clause,[],[f2290,f2260,f2295,f2292]) ).
tff(f2290,plain,
( ~ mem(vertex,choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))),t2tb(sK16))
| path1(sK0,sK12,tb2t3(get(int,vertex,t2tb1(sK17),choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))))))
| ~ spl44_229 ),
inference(subsumption_resolution,[],[f2277,f394]) ).
tff(f2277,plain,
( path1(sK0,sK12,tb2t3(get(int,vertex,t2tb1(sK17),choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))))))
| ~ sort1(vertex,choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))))
| ~ mem(vertex,choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))),t2tb(sK16))
| ~ spl44_229 ),
inference(superposition,[],[f893,f2261]) ).
tff(f893,plain,
! [X6: uni] :
( path1(sK0,tb2t2(X6),tb2t3(get(int,vertex,t2tb1(sK17),X6)))
| ~ sort1(vertex,X6)
| ~ mem(vertex,X6,t2tb(sK16)) ),
inference(superposition,[],[f774,f342]) ).
tff(f774,plain,
! [X3: uni] :
( path1(sK0,tb2t2(contents(vertex,X3)),tb2t3(get(int,vertex,t2tb1(sK17),contents(vertex,X3))))
| ~ mem(vertex,contents(vertex,X3),t2tb(sK16)) ),
inference(superposition,[],[f262,f683]) ).
tff(f2289,plain,
( spl44_232
| ~ spl44_229 ),
inference(avatar_split_clause,[],[f2275,f2260,f2287]) ).
tff(f2287,plain,
( spl44_232
<=> ( t2tb2(sK12) = choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_232])]) ).
tff(f2275,plain,
( ( t2tb2(sK12) = choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))) )
| ~ spl44_229 ),
inference(superposition,[],[f684,f2261]) ).
tff(f2269,plain,
( spl44_229
| spl44_231
| ~ spl44_214 ),
inference(avatar_split_clause,[],[f2257,f2151,f2267,f2260]) ).
tff(f2267,plain,
( spl44_231
<=> ! [X0: uni] :
( ~ sort1(vertex,X0)
| ~ mem(vertex,X0,t2tb(g_succ1(tb2t2(choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15)))))))
| mem(vertex,X0,t2tb(sK16))
| mem(vertex,X0,t2tb(sK15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_231])]) ).
tff(f2257,plain,
( ! [X0: uni] :
( ~ sort1(vertex,X0)
| mem(vertex,X0,t2tb(sK15))
| ( tb2t2(choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15)))) = sK12 )
| mem(vertex,X0,t2tb(sK16))
| ~ mem(vertex,X0,t2tb(g_succ1(tb2t2(choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))))))) )
| ~ spl44_214 ),
inference(resolution,[],[f2152,f1342]) ).
tff(f1342,plain,
! [X3: uni,X4: uni] :
( ~ mem(vertex,choose(vertex,X3),t2tb(sK15))
| mem(vertex,X4,t2tb(sK15))
| ( tb2t2(choose(vertex,X3)) = sK12 )
| ~ sort1(vertex,X4)
| mem(vertex,X4,t2tb(sK16))
| ~ mem(vertex,X4,t2tb(g_succ1(tb2t2(choose(vertex,X3))))) ),
inference(superposition,[],[f1335,f684]) ).
tff(f2265,plain,
( spl44_229
| spl44_230
| ~ spl44_214 ),
inference(avatar_split_clause,[],[f2258,f2151,f2263,f2260]) ).
tff(f2263,plain,
( spl44_230
<=> ! [X1: vertex1] :
( mem(vertex,t2tb2(X1),t2tb(sK16))
| ~ mem(vertex,t2tb2(X1),t2tb(g_succ1(tb2t2(choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15)))))))
| mem(vertex,t2tb2(X1),t2tb(sK15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_230])]) ).
tff(f2258,plain,
( ! [X1: vertex1] :
( mem(vertex,t2tb2(X1),t2tb(sK16))
| ( tb2t2(choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15)))) = sK12 )
| mem(vertex,t2tb2(X1),t2tb(sK15))
| ~ mem(vertex,t2tb2(X1),t2tb(g_succ1(tb2t2(choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))))))) )
| ~ spl44_214 ),
inference(resolution,[],[f2152,f804]) ).
tff(f804,plain,
! [X0: uni,X1: vertex1] :
( ~ mem(vertex,choose(vertex,X0),t2tb(sK15))
| mem(vertex,t2tb2(X1),t2tb(sK16))
| mem(vertex,t2tb2(X1),t2tb(sK15))
| ( tb2t2(choose(vertex,X0)) = sK12 )
| ~ mem(vertex,t2tb2(X1),t2tb(g_succ1(tb2t2(choose(vertex,X0))))) ),
inference(superposition,[],[f251,f684]) ).
tff(f2256,plain,
( spl44_228
| spl44_226 ),
inference(avatar_split_clause,[],[f2248,f2242,f2254]) ).
tff(f2242,plain,
( spl44_226
<=> subset(vertex,t2tb(sK24),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_226])]) ).
tff(f2248,plain,
( sort1(vertex,sK40(t2tb(sK24),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))),vertex))
| spl44_226 ),
inference(resolution,[],[f2243,f361]) ).
tff(f361,plain,
! [X2: ty,X0: uni,X1: uni] :
( subset(X2,X0,X1)
| sort1(X2,sK40(X0,X1,X2)) ),
inference(cnf_transformation,[],[f197]) ).
tff(f197,plain,
! [X0: uni,X2: ty,X1: uni] :
( ( subset(X2,X0,X1)
| ? [X4: uni] :
( mem(X2,X4,X0)
& sort1(X2,X4)
& ~ mem(X2,X4,X1) ) )
& ( ! [X3: uni] :
( mem(X2,X3,X1)
| ~ mem(X2,X3,X0) )
| ~ subset(X2,X0,X1) ) ),
inference(flattening,[],[f196]) ).
tff(f196,plain,
! [X0: uni,X1: uni,X2: ty] :
( ( ! [X3: uni] :
( mem(X2,X3,X1)
| ~ mem(X2,X3,X0) )
| ~ subset(X2,X0,X1) )
& ( subset(X2,X0,X1)
| ? [X4: uni] :
( ~ mem(X2,X4,X1)
& mem(X2,X4,X0)
& sort1(X2,X4) ) ) ),
inference(ennf_transformation,[],[f102]) ).
tff(f102,plain,
! [X0: uni,X1: uni,X2: ty] :
( ( subset(X2,X0,X1)
=> ! [X3: uni] :
( mem(X2,X3,X0)
=> mem(X2,X3,X1) ) )
& ( ! [X4: uni] :
( sort1(X2,X4)
=> ( mem(X2,X4,X0)
=> mem(X2,X4,X1) ) )
=> subset(X2,X0,X1) ) ),
inference(rectify,[],[f15]) ).
tff(f15,axiom,
! [X8: uni,X9: uni,X0: ty] :
( ( subset(X0,X8,X9)
=> ! [X1: uni] :
( mem(X0,X1,X8)
=> mem(X0,X1,X9) ) )
& ( ! [X1: uni] :
( sort1(X0,X1)
=> ( mem(X0,X1,X8)
=> mem(X0,X1,X9) ) )
=> subset(X0,X8,X9) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_def) ).
tff(f2243,plain,
( ~ subset(vertex,t2tb(sK24),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))))
| spl44_226 ),
inference(avatar_component_clause,[],[f2242]) ).
tff(f2252,plain,
( spl44_227
| spl44_226 ),
inference(avatar_split_clause,[],[f2246,f2242,f2250]) ).
tff(f2250,plain,
( spl44_227
<=> mem(vertex,sK40(t2tb(sK24),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))),vertex),t2tb(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_227])]) ).
tff(f2246,plain,
( mem(vertex,sK40(t2tb(sK24),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))),vertex),t2tb(sK24))
| spl44_226 ),
inference(resolution,[],[f2243,f362]) ).
tff(f362,plain,
! [X2: ty,X0: uni,X1: uni] :
( subset(X2,X0,X1)
| mem(X2,sK40(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f197]) ).
tff(f2244,plain,
( ~ spl44_226
| ~ spl44_167
| ~ spl44_143
| ~ spl44_225 ),
inference(avatar_split_clause,[],[f2233,f2227,f1610,f1770,f2242]) ).
tff(f1770,plain,
( spl44_167
<=> $less(0,$sum(1,cardinal1(vertex,t2tb(sK16)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_167])]) ).
tff(f2227,plain,
( spl44_225
<=> ( 0 = cardinal1(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_225])]) ).
tff(f2233,plain,
( ~ $less(0,$sum(1,cardinal1(vertex,t2tb(sK16))))
| ~ subset(vertex,t2tb(sK24),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))))
| ~ spl44_143
| ~ spl44_225 ),
inference(superposition,[],[f1762,f2228]) ).
tff(f2228,plain,
( ( 0 = cardinal1(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8)))))) )
| ~ spl44_225 ),
inference(avatar_component_clause,[],[f2227]) ).
tff(f1762,plain,
( ! [X0: uni] :
( ~ $less(cardinal1(vertex,X0),$sum(1,cardinal1(vertex,t2tb(sK16))))
| ~ subset(vertex,t2tb(sK24),X0) )
| ~ spl44_143 ),
inference(superposition,[],[f340,f1611]) ).
tff(f340,plain,
! [X2: uni,X0: uni,X1: ty] :
( ~ $less(cardinal1(X1,X0),cardinal1(X1,X2))
| ~ subset(X1,X2,X0) ),
inference(cnf_transformation,[],[f187]) ).
tff(f187,plain,
! [X0: uni,X1: ty,X2: uni] :
( ~ $less(cardinal1(X1,X0),cardinal1(X1,X2))
| ~ subset(X1,X2,X0) ),
inference(ennf_transformation,[],[f99]) ).
tff(f99,plain,
! [X2: uni,X1: ty,X0: uni] :
( subset(X1,X2,X0)
=> ~ $less(cardinal1(X1,X0),cardinal1(X1,X2)) ),
inference(rectify,[],[f81]) ).
tff(f81,plain,
! [X9: uni,X0: ty,X8: uni] :
( subset(X0,X8,X9)
=> ~ $less(cardinal1(X0,X9),cardinal1(X0,X8)) ),
inference(theory_normalization,[],[f42]) ).
tff(f42,axiom,
! [X9: uni,X0: ty,X8: uni] :
( subset(X0,X8,X9)
=> $lesseq(cardinal1(X0,X8),cardinal1(X0,X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cardinal_subset) ).
tff(f2229,plain,
( spl44_225
| ~ spl44_105 ),
inference(avatar_split_clause,[],[f2224,f1059,f2227]) ).
tff(f1059,plain,
( spl44_105
<=> is_empty(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_105])]) ).
tff(f2224,plain,
( ( 0 = cardinal1(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8)))))) )
| ~ spl44_105 ),
inference(resolution,[],[f1060,f351]) ).
tff(f351,plain,
! [X0: ty,X1: uni] :
( ~ is_empty(X0,X1)
| ( 0 = cardinal1(X0,X1) ) ),
inference(cnf_transformation,[],[f106]) ).
tff(f106,plain,
! [X0: ty,X1: uni] :
( is_empty(X0,X1)
<=> ( 0 = cardinal1(X0,X1) ) ),
inference(rectify,[],[f39]) ).
tff(f39,axiom,
! [X0: ty,X10: uni] :
( ( 0 = cardinal1(X0,X10) )
<=> is_empty(X0,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cardinal_empty) ).
tff(f1060,plain,
( is_empty(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))))
| ~ spl44_105 ),
inference(avatar_component_clause,[],[f1059]) ).
tff(f2223,plain,
( spl44_105
| spl44_178 ),
inference(avatar_split_clause,[],[f2222,f1849,f1059]) ).
tff(f1849,plain,
( spl44_178
<=> sort1(vertex,sK38(t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))),vertex)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_178])]) ).
tff(f2222,plain,
( is_empty(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))))
| spl44_178 ),
inference(resolution,[],[f1850,f333]) ).
tff(f333,plain,
! [X0: uni,X1: ty] :
( sort1(X1,sK38(X0,X1))
| is_empty(X1,X0) ),
inference(cnf_transformation,[],[f204]) ).
tff(f204,plain,
! [X0: uni,X1: ty] :
( ( ? [X3: uni] :
( sort1(X1,X3)
& mem(X1,X3,X0) )
| is_empty(X1,X0) )
& ( ~ is_empty(X1,X0)
| ! [X2: uni] : ~ mem(X1,X2,X0) ) ),
inference(ennf_transformation,[],[f150]) ).
tff(f150,plain,
! [X0: uni,X1: ty] :
( ( is_empty(X1,X0)
=> ! [X2: uni] : ~ mem(X1,X2,X0) )
& ( ! [X3: uni] :
( sort1(X1,X3)
=> ~ mem(X1,X3,X0) )
=> is_empty(X1,X0) ) ),
inference(rectify,[],[f19]) ).
tff(f19,axiom,
! [X10: uni,X0: ty] :
( ( is_empty(X0,X10)
=> ! [X1: uni] : ~ mem(X0,X1,X10) )
& ( ! [X1: uni] :
( sort1(X0,X1)
=> ~ mem(X0,X1,X10) )
=> is_empty(X0,X10) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',is_empty_def) ).
tff(f1850,plain,
( ~ sort1(vertex,sK38(t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))),vertex))
| spl44_178 ),
inference(avatar_component_clause,[],[f1849]) ).
tff(f2221,plain,
( spl44_224
| ~ spl44_106
| ~ spl44_217 ),
inference(avatar_split_clause,[],[f2199,f2185,f1064,f2219]) ).
tff(f2219,plain,
( spl44_224
<=> mem(vertex,choose(vertex,t2tb(g_succ1(sK12))),t2tb(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_224])]) ).
tff(f1064,plain,
( spl44_106
<=> mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8)))))),t2tb(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_106])]) ).
tff(f2185,plain,
( spl44_217
<=> ( tb2t2(choose(vertex,t2tb(sK8))) = sK12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_217])]) ).
tff(f2199,plain,
( mem(vertex,choose(vertex,t2tb(g_succ1(sK12))),t2tb(sK6))
| ~ spl44_106
| ~ spl44_217 ),
inference(backward_demodulation,[],[f1065,f2186]) ).
tff(f2186,plain,
( ( tb2t2(choose(vertex,t2tb(sK8))) = sK12 )
| ~ spl44_217 ),
inference(avatar_component_clause,[],[f2185]) ).
tff(f1065,plain,
( mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8)))))),t2tb(sK6))
| ~ spl44_106 ),
inference(avatar_component_clause,[],[f1064]) ).
tff(f2217,plain,
( spl44_223
| ~ spl44_104
| ~ spl44_217 ),
inference(avatar_split_clause,[],[f2198,f2185,f1056,f2215]) ).
tff(f2215,plain,
( spl44_223
<=> mem(vertex,sK38(t2tb(g_succ1(sK12)),vertex),t2tb(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_223])]) ).
tff(f1056,plain,
( spl44_104
<=> mem(vertex,sK38(t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))),vertex),t2tb(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_104])]) ).
tff(f2198,plain,
( mem(vertex,sK38(t2tb(g_succ1(sK12)),vertex),t2tb(sK8))
| ~ spl44_104
| ~ spl44_217 ),
inference(backward_demodulation,[],[f1057,f2186]) ).
tff(f1057,plain,
( mem(vertex,sK38(t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))),vertex),t2tb(sK8))
| ~ spl44_104 ),
inference(avatar_component_clause,[],[f1056]) ).
tff(f2213,plain,
( ~ spl44_222
| spl44_84
| ~ spl44_217 ),
inference(avatar_split_clause,[],[f2197,f2185,f877,f2211]) ).
tff(f2211,plain,
( spl44_222
<=> mem(vertex,choose(vertex,t2tb(sK8)),t2tb(g_succ1(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_222])]) ).
tff(f877,plain,
( spl44_84
<=> mem(vertex,choose(vertex,t2tb(sK8)),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_84])]) ).
tff(f2197,plain,
( ~ mem(vertex,choose(vertex,t2tb(sK8)),t2tb(g_succ1(sK12)))
| spl44_84
| ~ spl44_217 ),
inference(backward_demodulation,[],[f878,f2186]) ).
tff(f878,plain,
( ~ mem(vertex,choose(vertex,t2tb(sK8)),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))))
| spl44_84 ),
inference(avatar_component_clause,[],[f877]) ).
tff(f2209,plain,
( ~ spl44_221
| spl44_103
| ~ spl44_217 ),
inference(avatar_split_clause,[],[f2201,f2185,f1053,f2207]) ).
tff(f2207,plain,
( spl44_221
<=> mem(vertex,sK38(t2tb(g_succ1(sK12)),vertex),t2tb(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_221])]) ).
tff(f1053,plain,
( spl44_103
<=> mem(vertex,sK38(t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))),vertex),t2tb(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_103])]) ).
tff(f2201,plain,
( ~ mem(vertex,sK38(t2tb(g_succ1(sK12)),vertex),t2tb(sK6))
| spl44_103
| ~ spl44_217 ),
inference(backward_demodulation,[],[f1851,f2186]) ).
tff(f1851,plain,
( ~ mem(vertex,sK38(t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))),vertex),t2tb(sK6))
| spl44_103 ),
inference(avatar_component_clause,[],[f1053]) ).
tff(f2205,plain,
( ~ spl44_220
| spl44_178
| ~ spl44_217 ),
inference(avatar_split_clause,[],[f2200,f2185,f1849,f2203]) ).
tff(f2203,plain,
( spl44_220
<=> sort1(vertex,sK38(t2tb(g_succ1(sK12)),vertex)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_220])]) ).
tff(f2200,plain,
( ~ sort1(vertex,sK38(t2tb(g_succ1(sK12)),vertex))
| spl44_178
| ~ spl44_217 ),
inference(backward_demodulation,[],[f1850,f2186]) ).
tff(f2194,plain,
( spl44_217
| spl44_219
| ~ spl44_213 ),
inference(avatar_split_clause,[],[f2182,f2146,f2192,f2185]) ).
tff(f2192,plain,
( spl44_219
<=> ! [X0: uni] :
( ~ sort1(vertex,X0)
| mem(vertex,X0,t2tb(sK16))
| mem(vertex,X0,t2tb(sK15))
| ~ mem(vertex,X0,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_219])]) ).
tff(f2146,plain,
( spl44_213
<=> mem(vertex,choose(vertex,t2tb(sK8)),t2tb(sK15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_213])]) ).
tff(f2182,plain,
( ! [X0: uni] :
( ~ sort1(vertex,X0)
| ~ mem(vertex,X0,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))))
| ( tb2t2(choose(vertex,t2tb(sK8))) = sK12 )
| mem(vertex,X0,t2tb(sK15))
| mem(vertex,X0,t2tb(sK16)) )
| ~ spl44_213 ),
inference(resolution,[],[f2147,f1342]) ).
tff(f2147,plain,
( mem(vertex,choose(vertex,t2tb(sK8)),t2tb(sK15))
| ~ spl44_213 ),
inference(avatar_component_clause,[],[f2146]) ).
tff(f2190,plain,
( spl44_217
| spl44_218
| ~ spl44_213 ),
inference(avatar_split_clause,[],[f2183,f2146,f2188,f2185]) ).
tff(f2188,plain,
( spl44_218
<=> ! [X1: vertex1] :
( mem(vertex,t2tb2(X1),t2tb(sK16))
| ~ mem(vertex,t2tb2(X1),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))))
| mem(vertex,t2tb2(X1),t2tb(sK15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_218])]) ).
tff(f2183,plain,
( ! [X1: vertex1] :
( mem(vertex,t2tb2(X1),t2tb(sK16))
| mem(vertex,t2tb2(X1),t2tb(sK15))
| ( tb2t2(choose(vertex,t2tb(sK8))) = sK12 )
| ~ mem(vertex,t2tb2(X1),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8)))))) )
| ~ spl44_213 ),
inference(resolution,[],[f2147,f804]) ).
tff(f2176,plain,
( ~ spl44_55
| ~ spl44_56
| ~ spl44_19
| ~ spl44_50 ),
inference(avatar_split_clause,[],[f2175,f624,f478,f673,f670]) ).
tff(f670,plain,
( spl44_55
<=> mem(vertex,t2tb2(sK0),t2tb(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_55])]) ).
tff(f673,plain,
( spl44_56
<=> $less(0,tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK12)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_56])]) ).
tff(f478,plain,
( spl44_19
<=> ( 0 = tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_19])]) ).
tff(f624,plain,
( spl44_50
<=> ( get(int,vertex,t2tb1(sK17),t2tb2(sK0)) = get(int,vertex,t2tb1(sK7),t2tb2(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_50])]) ).
tff(f2175,plain,
( ~ $less(0,tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK12))))
| ~ mem(vertex,t2tb2(sK0),t2tb(sK6))
| ~ spl44_19
| ~ spl44_50 ),
inference(forward_demodulation,[],[f2174,f479]) ).
tff(f479,plain,
( ( 0 = tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK0))) )
| ~ spl44_19 ),
inference(avatar_component_clause,[],[f478]) ).
tff(f2174,plain,
( ~ $less(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK0))),tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK12))))
| ~ mem(vertex,t2tb2(sK0),t2tb(sK6))
| ~ spl44_50 ),
inference(subsumption_resolution,[],[f1089,f384]) ).
tff(f1089,plain,
( ~ mem(vertex,t2tb2(sK0),t2tb(sK6))
| ~ $less(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK0))),tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK12))))
| ~ sort1(vertex,t2tb2(sK0))
| ~ spl44_50 ),
inference(superposition,[],[f894,f625]) ).
tff(f625,plain,
( ( get(int,vertex,t2tb1(sK17),t2tb2(sK0)) = get(int,vertex,t2tb1(sK7),t2tb2(sK0)) )
| ~ spl44_50 ),
inference(avatar_component_clause,[],[f624]) ).
tff(f894,plain,
! [X7: uni] :
( ~ $less(tb2t3(get(int,vertex,t2tb1(sK7),X7)),tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK12))))
| ~ sort1(vertex,X7)
| ~ mem(vertex,X7,t2tb(sK6)) ),
inference(superposition,[],[f775,f342]) ).
tff(f775,plain,
! [X4: uni] :
( ~ $less(tb2t3(get(int,vertex,t2tb1(sK7),contents(vertex,X4))),tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK12))))
| ~ mem(vertex,contents(vertex,X4),t2tb(sK6)) ),
inference(superposition,[],[f269,f683]) ).
tff(f2173,plain,
( spl44_55
| ~ spl44_31
| spl44_90 ),
inference(avatar_split_clause,[],[f2171,f941,f530,f670]) ).
tff(f530,plain,
( spl44_31
<=> inv_src1(sK0,sK8,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_31])]) ).
tff(f941,plain,
( spl44_90
<=> mem(vertex,t2tb2(sK0),t2tb(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_90])]) ).
tff(f2171,plain,
( mem(vertex,t2tb2(sK0),t2tb(sK6))
| ~ spl44_31
| spl44_90 ),
inference(subsumption_resolution,[],[f1940,f942]) ).
tff(f942,plain,
( ~ mem(vertex,t2tb2(sK0),t2tb(sK8))
| spl44_90 ),
inference(avatar_component_clause,[],[f941]) ).
tff(f1940,plain,
( mem(vertex,t2tb2(sK0),t2tb(sK8))
| mem(vertex,t2tb2(sK0),t2tb(sK6))
| ~ spl44_31 ),
inference(resolution,[],[f381,f531]) ).
tff(f531,plain,
( inv_src1(sK0,sK8,sK6)
| ~ spl44_31 ),
inference(avatar_component_clause,[],[f530]) ).
tff(f381,plain,
! [X2: vertex1,X0: set_vertex,X1: set_vertex] :
( ~ inv_src1(X2,X0,X1)
| mem(vertex,t2tb2(X2),t2tb(X0))
| mem(vertex,t2tb2(X2),t2tb(X1)) ),
inference(cnf_transformation,[],[f177]) ).
tff(f177,plain,
! [X2: vertex1,X1: set_vertex,X0: set_vertex] :
( mem(vertex,t2tb2(X2),t2tb(X0))
| mem(vertex,t2tb2(X2),t2tb(X1))
| ~ inv_src1(X2,X0,X1) ),
inference(flattening,[],[f176]) ).
tff(f176,plain,
! [X2: vertex1,X1: set_vertex,X0: set_vertex] :
( mem(vertex,t2tb2(X2),t2tb(X0))
| mem(vertex,t2tb2(X2),t2tb(X1))
| ~ inv_src1(X2,X0,X1) ),
inference(ennf_transformation,[],[f164]) ).
tff(f164,plain,
! [X2: vertex1,X1: set_vertex,X0: set_vertex] :
( inv_src1(X2,X0,X1)
=> ( mem(vertex,t2tb2(X2),t2tb(X0))
| mem(vertex,t2tb2(X2),t2tb(X1)) ) ),
inference(unused_predicate_definition_removal,[],[f145]) ).
tff(f145,plain,
! [X2: vertex1,X1: set_vertex,X0: set_vertex] :
( inv_src1(X2,X0,X1)
<=> ( mem(vertex,t2tb2(X2),t2tb(X0))
| mem(vertex,t2tb2(X2),t2tb(X1)) ) ),
inference(rectify,[],[f74]) ).
tff(f74,axiom,
! [X10: set_vertex,X19: set_vertex,X24: vertex1] :
( ( mem(vertex,t2tb2(X24),t2tb(X19))
| mem(vertex,t2tb2(X24),t2tb(X10)) )
<=> inv_src1(X24,X10,X19) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inv_src_def) ).
tff(f2170,plain,
( ~ spl44_88
| ~ spl44_185 ),
inference(avatar_split_clause,[],[f2169,f1944,f923]) ).
tff(f923,plain,
( spl44_88
<=> mem(vertex,t2tb2(sK0),t2tb(sK15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_88])]) ).
tff(f1944,plain,
( spl44_185
<=> mem(vertex,t2tb2(sK0),t2tb(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_185])]) ).
tff(f2169,plain,
( ~ mem(vertex,t2tb2(sK0),t2tb(sK15))
| ~ spl44_185 ),
inference(subsumption_resolution,[],[f1955,f384]) ).
tff(f1955,plain,
( ~ sort1(vertex,t2tb2(sK0))
| ~ mem(vertex,t2tb2(sK0),t2tb(sK15))
| ~ spl44_185 ),
inference(resolution,[],[f1945,f890]) ).
tff(f890,plain,
! [X3: uni] :
( ~ mem(vertex,X3,t2tb(sK16))
| ~ sort1(vertex,X3)
| ~ mem(vertex,X3,t2tb(sK15)) ),
inference(superposition,[],[f771,f342]) ).
tff(f771,plain,
! [X0: uni] :
( ~ mem(vertex,contents(vertex,X0),t2tb(sK16))
| ~ mem(vertex,contents(vertex,X0),t2tb(sK15)) ),
inference(superposition,[],[f257,f683]) ).
tff(f1945,plain,
( mem(vertex,t2tb2(sK0),t2tb(sK16))
| ~ spl44_185 ),
inference(avatar_component_clause,[],[f1944]) ).
tff(f2168,plain,
( ~ spl44_88
| ~ spl44_185 ),
inference(avatar_split_clause,[],[f1954,f1944,f923]) ).
tff(f1954,plain,
( ~ mem(vertex,t2tb2(sK0),t2tb(sK15))
| ~ spl44_185 ),
inference(resolution,[],[f1945,f257]) ).
tff(f2167,plain,
( ~ spl44_182
| spl44_216
| ~ spl44_70
| ~ spl44_180 ),
inference(avatar_split_clause,[],[f2138,f1881,f753,f2165,f1894]) ).
tff(f1894,plain,
( spl44_182
<=> sort1(vertex,sK38(remove(vertex,t2tb2(sK12),t2tb(sK15)),vertex)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_182])]) ).
tff(f2165,plain,
( spl44_216
<=> mem(vertex,sK38(remove(vertex,t2tb2(sK12),t2tb(sK15)),vertex),t2tb(sK15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_216])]) ).
tff(f753,plain,
( spl44_70
<=> ( add(vertex,t2tb2(sK12),t2tb(sK8)) = t2tb(sK15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_70])]) ).
tff(f1881,plain,
( spl44_180
<=> mem(vertex,sK38(remove(vertex,t2tb2(sK12),t2tb(sK15)),vertex),t2tb(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_180])]) ).
tff(f2138,plain,
( mem(vertex,sK38(remove(vertex,t2tb2(sK12),t2tb(sK15)),vertex),t2tb(sK15))
| ~ sort1(vertex,sK38(remove(vertex,t2tb2(sK12),t2tb(sK15)),vertex))
| ~ spl44_70
| ~ spl44_180 ),
inference(resolution,[],[f2132,f1882]) ).
tff(f1882,plain,
( mem(vertex,sK38(remove(vertex,t2tb2(sK12),t2tb(sK15)),vertex),t2tb(sK8))
| ~ spl44_180 ),
inference(avatar_component_clause,[],[f1881]) ).
tff(f2132,plain,
( ! [X0: uni] :
( ~ mem(vertex,X0,t2tb(sK8))
| mem(vertex,X0,t2tb(sK15))
| ~ sort1(vertex,X0) )
| ~ spl44_70 ),
inference(subsumption_resolution,[],[f2130,f384]) ).
tff(f2130,plain,
( ! [X0: uni] :
( ~ mem(vertex,X0,t2tb(sK8))
| mem(vertex,X0,t2tb(sK15))
| ~ sort1(vertex,t2tb2(sK12))
| ~ sort1(vertex,X0) )
| ~ spl44_70 ),
inference(superposition,[],[f296,f754]) ).
tff(f754,plain,
( ( add(vertex,t2tb2(sK12),t2tb(sK8)) = t2tb(sK15) )
| ~ spl44_70 ),
inference(avatar_component_clause,[],[f753]) ).
tff(f2163,plain,
( spl44_215
| spl44_78
| ~ spl44_70 ),
inference(avatar_split_clause,[],[f2157,f753,f843,f2161]) ).
tff(f2161,plain,
( spl44_215
<=> mem(vertex,sK38(t2tb(sK8),vertex),t2tb(sK15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_215])]) ).
tff(f843,plain,
( spl44_78
<=> is_empty(vertex,t2tb(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_78])]) ).
tff(f2157,plain,
( is_empty(vertex,t2tb(sK8))
| mem(vertex,sK38(t2tb(sK8),vertex),t2tb(sK15))
| ~ spl44_70 ),
inference(subsumption_resolution,[],[f2139,f333]) ).
tff(f2139,plain,
( is_empty(vertex,t2tb(sK8))
| mem(vertex,sK38(t2tb(sK8),vertex),t2tb(sK15))
| ~ sort1(vertex,sK38(t2tb(sK8),vertex))
| ~ spl44_70 ),
inference(resolution,[],[f2132,f332]) ).
tff(f332,plain,
! [X0: uni,X1: ty] :
( mem(X1,sK38(X0,X1),X0)
| is_empty(X1,X0) ),
inference(cnf_transformation,[],[f204]) ).
tff(f2159,plain,
( spl44_88
| ~ spl44_70
| ~ spl44_90 ),
inference(avatar_split_clause,[],[f2154,f941,f753,f923]) ).
tff(f2154,plain,
( mem(vertex,t2tb2(sK0),t2tb(sK15))
| ~ spl44_70
| ~ spl44_90 ),
inference(subsumption_resolution,[],[f2136,f384]) ).
tff(f2136,plain,
( ~ sort1(vertex,t2tb2(sK0))
| mem(vertex,t2tb2(sK0),t2tb(sK15))
| ~ spl44_70
| ~ spl44_90 ),
inference(resolution,[],[f2132,f1951]) ).
tff(f1951,plain,
( mem(vertex,t2tb2(sK0),t2tb(sK8))
| ~ spl44_90 ),
inference(avatar_component_clause,[],[f941]) ).
tff(f2156,plain,
( ~ spl44_70
| spl44_88
| ~ spl44_90 ),
inference(avatar_contradiction_clause,[],[f2155]) ).
tff(f2155,plain,
( $false
| ~ spl44_70
| spl44_88
| ~ spl44_90 ),
inference(subsumption_resolution,[],[f2154,f924]) ).
tff(f924,plain,
( ~ mem(vertex,t2tb2(sK0),t2tb(sK15))
| spl44_88 ),
inference(avatar_component_clause,[],[f923]) ).
tff(f2153,plain,
( spl44_214
| ~ spl44_70
| ~ spl44_179 ),
inference(avatar_split_clause,[],[f2149,f1877,f753,f2151]) ).
tff(f2149,plain,
( mem(vertex,choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))),t2tb(sK15))
| ~ spl44_70
| ~ spl44_179 ),
inference(subsumption_resolution,[],[f2134,f394]) ).
tff(f2134,plain,
( ~ sort1(vertex,choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))))
| mem(vertex,choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))),t2tb(sK15))
| ~ spl44_70
| ~ spl44_179 ),
inference(resolution,[],[f2132,f1878]) ).
tff(f2148,plain,
( spl44_213
| spl44_78
| ~ spl44_70 ),
inference(avatar_split_clause,[],[f2144,f753,f843,f2146]) ).
tff(f2144,plain,
( is_empty(vertex,t2tb(sK8))
| mem(vertex,choose(vertex,t2tb(sK8)),t2tb(sK15))
| ~ spl44_70 ),
inference(subsumption_resolution,[],[f2135,f394]) ).
tff(f2135,plain,
( is_empty(vertex,t2tb(sK8))
| mem(vertex,choose(vertex,t2tb(sK8)),t2tb(sK15))
| ~ sort1(vertex,choose(vertex,t2tb(sK8)))
| ~ spl44_70 ),
inference(resolution,[],[f2132,f401]) ).
tff(f401,plain,
! [X0: uni,X1: ty] :
( mem(X1,choose(X1,X0),X0)
| is_empty(X1,X0) ),
inference(cnf_transformation,[],[f194]) ).
tff(f194,plain,
! [X1: ty,X0: uni] :
( is_empty(X1,X0)
| mem(X1,choose(X1,X0),X0) ),
inference(ennf_transformation,[],[f129]) ).
tff(f129,plain,
! [X0: uni,X1: ty] :
( ~ is_empty(X1,X0)
=> mem(X1,choose(X1,X0),X0) ),
inference(rectify,[],[f37]) ).
tff(f37,axiom,
! [X10: uni,X0: ty] :
( ~ is_empty(X0,X10)
=> mem(X0,choose(X0,X10),X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',choose_def) ).
tff(f2143,plain,
( spl44_212
| ~ spl44_178
| ~ spl44_70
| ~ spl44_104 ),
inference(avatar_split_clause,[],[f2137,f1056,f753,f1849,f2141]) ).
tff(f2141,plain,
( spl44_212
<=> mem(vertex,sK38(t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))),vertex),t2tb(sK15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_212])]) ).
tff(f2137,plain,
( ~ sort1(vertex,sK38(t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))),vertex))
| mem(vertex,sK38(t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))),vertex),t2tb(sK15))
| ~ spl44_70
| ~ spl44_104 ),
inference(resolution,[],[f2132,f1057]) ).
tff(f2119,plain,
( spl44_211
| ~ spl44_17
| ~ spl44_131
| ~ spl44_143 ),
inference(avatar_split_clause,[],[f2115,f1610,f1358,f471,f2117]) ).
tff(f2117,plain,
( spl44_211
<=> ( $sum(1,cardinal1(vertex,remove(vertex,t2tb2(sK20),t2tb(sK16)))) = $sum(1,cardinal1(vertex,t2tb(sK16))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_211])]) ).
tff(f2115,plain,
( ( $sum(1,cardinal1(vertex,remove(vertex,t2tb2(sK20),t2tb(sK16)))) = $sum(1,cardinal1(vertex,t2tb(sK16))) )
| ~ spl44_17
| ~ spl44_131
| ~ spl44_143 ),
inference(forward_demodulation,[],[f2114,f1611]) ).
tff(f2114,plain,
( ( $sum(1,cardinal1(vertex,remove(vertex,t2tb2(sK20),t2tb(sK16)))) = cardinal1(vertex,t2tb(sK24)) )
| ~ spl44_17
| ~ spl44_131 ),
inference(subsumption_resolution,[],[f2107,f472]) ).
tff(f2107,plain,
( ( $sum(1,cardinal1(vertex,remove(vertex,t2tb2(sK20),t2tb(sK16)))) = cardinal1(vertex,t2tb(sK24)) )
| ~ mem(vertex,t2tb2(sK20),t2tb(sK24))
| ~ spl44_131 ),
inference(superposition,[],[f397,f1359]) ).
tff(f397,plain,
! [X2: ty,X0: uni,X1: uni] :
( ( $sum(1,cardinal1(X2,remove(X2,X1,X0))) = cardinal1(X2,X0) )
| ~ mem(X2,X1,X0) ),
inference(cnf_transformation,[],[f210]) ).
tff(f210,plain,
! [X2: ty,X0: uni,X1: uni] :
( ( $sum(1,cardinal1(X2,remove(X2,X1,X0))) = cardinal1(X2,X0) )
| ~ mem(X2,X1,X0) ),
inference(ennf_transformation,[],[f113]) ).
tff(f113,plain,
! [X1: uni,X0: uni,X2: ty] :
( mem(X2,X1,X0)
=> ( $sum(1,cardinal1(X2,remove(X2,X1,X0))) = cardinal1(X2,X0) ) ),
inference(rectify,[],[f41]) ).
tff(f41,axiom,
! [X10: uni,X1: uni,X0: ty] :
( mem(X0,X1,X10)
=> ( cardinal1(X0,X10) = $sum(1,cardinal1(X0,remove(X0,X1,X10))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cardinal_remove) ).
tff(f2113,plain,
( spl44_210
| ~ spl44_152
| ~ spl44_132 ),
inference(avatar_split_clause,[],[f2108,f1362,f1665,f2110]) ).
tff(f2110,plain,
( spl44_210
<=> ( cardinal1(vertex,t2tb(sK8)) = $sum(1,cardinal1(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_210])]) ).
tff(f1665,plain,
( spl44_152
<=> mem(vertex,t2tb2(sK12),t2tb(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_152])]) ).
tff(f1362,plain,
( spl44_132
<=> ( remove(vertex,t2tb2(sK12),t2tb(sK15)) = remove(vertex,t2tb2(sK12),t2tb(sK8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_132])]) ).
tff(f2108,plain,
( ~ mem(vertex,t2tb2(sK12),t2tb(sK8))
| ( cardinal1(vertex,t2tb(sK8)) = $sum(1,cardinal1(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15)))) )
| ~ spl44_132 ),
inference(superposition,[],[f397,f1363]) ).
tff(f1363,plain,
( ( remove(vertex,t2tb2(sK12),t2tb(sK15)) = remove(vertex,t2tb2(sK12),t2tb(sK8)) )
| ~ spl44_132 ),
inference(avatar_component_clause,[],[f1362]) ).
tff(f2095,plain,
( ~ spl44_169
| ~ spl44_175 ),
inference(avatar_contradiction_clause,[],[f2090]) ).
tff(f2090,plain,
( $false
| ~ spl44_169
| ~ spl44_175 ),
inference(subsumption_resolution,[],[f1810,f2086]) ).
tff(f2086,plain,
( ! [X0: uni] : ~ mem(vertex,X0,t2tb(sK24))
| ~ spl44_169 ),
inference(resolution,[],[f1779,f334]) ).
tff(f334,plain,
! [X2: uni,X0: uni,X1: ty] :
( ~ is_empty(X1,X0)
| ~ mem(X1,X2,X0) ),
inference(cnf_transformation,[],[f204]) ).
tff(f1779,plain,
( is_empty(vertex,t2tb(sK24))
| ~ spl44_169 ),
inference(avatar_component_clause,[],[f1778]) ).
tff(f1778,plain,
( spl44_169
<=> is_empty(vertex,t2tb(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_169])]) ).
tff(f1810,plain,
( mem(vertex,sK40(t2tb(sK24),t2tb(sK3),vertex),t2tb(sK24))
| ~ spl44_175 ),
inference(avatar_component_clause,[],[f1809]) ).
tff(f1809,plain,
( spl44_175
<=> mem(vertex,sK40(t2tb(sK24),t2tb(sK3),vertex),t2tb(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_175])]) ).
tff(f2094,plain,
( ~ spl44_17
| ~ spl44_169 ),
inference(avatar_contradiction_clause,[],[f2088]) ).
tff(f2088,plain,
( $false
| ~ spl44_17
| ~ spl44_169 ),
inference(subsumption_resolution,[],[f472,f2086]) ).
tff(f2093,plain,
( ~ spl44_169
| ~ spl44_172 ),
inference(avatar_contradiction_clause,[],[f2089]) ).
tff(f2089,plain,
( $false
| ~ spl44_169
| ~ spl44_172 ),
inference(subsumption_resolution,[],[f1794,f2086]) ).
tff(f1794,plain,
( mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(sK24))
| ~ spl44_172 ),
inference(avatar_component_clause,[],[f1793]) ).
tff(f1793,plain,
( spl44_172
<=> mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_172])]) ).
tff(f2084,plain,
( ~ spl44_171
| ~ spl44_167
| ~ spl44_143 ),
inference(avatar_split_clause,[],[f1925,f1610,f1770,f1785]) ).
tff(f1785,plain,
( spl44_171
<=> subset(vertex,t2tb(sK24),empty(vertex)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_171])]) ).
tff(f1925,plain,
( ~ $less(0,$sum(1,cardinal1(vertex,t2tb(sK16))))
| ~ subset(vertex,t2tb(sK24),empty(vertex))
| ~ spl44_143 ),
inference(superposition,[],[f1762,f676]) ).
tff(f676,plain,
! [X0: ty] : ( 0 = cardinal1(X0,empty(X0)) ),
inference(resolution,[],[f351,f214]) ).
tff(f214,plain,
! [X0: ty] : is_empty(X0,empty(X0)),
inference(cnf_transformation,[],[f20]) ).
tff(f20,axiom,
! [X0: ty] : is_empty(X0,empty(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_def1) ).
tff(f2083,plain,
( spl44_209
| ~ spl44_187
| ~ spl44_176 ),
inference(avatar_split_clause,[],[f1973,f1814,f1992,f2081]) ).
tff(f2081,plain,
( spl44_209
<=> ! [X2: vertex1] :
( mem(vertex,t2tb2(X2),t2tb(sK8))
| mem(vertex,t2tb2(X2),t2tb(sK6))
| ~ mem(vertex,t2tb2(X2),t2tb(g_succ1(tb2t2(sK40(t2tb(sK24),empty(vertex),vertex))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_209])]) ).
tff(f1992,plain,
( spl44_187
<=> mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_187])]) ).
tff(f1814,plain,
( spl44_176
<=> ( sK40(t2tb(sK24),empty(vertex),vertex) = t2tb2(tb2t2(sK40(t2tb(sK24),empty(vertex),vertex))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_176])]) ).
tff(f1973,plain,
( ! [X2: vertex1] :
( ~ mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(sK8))
| mem(vertex,t2tb2(X2),t2tb(sK8))
| ~ mem(vertex,t2tb2(X2),t2tb(g_succ1(tb2t2(sK40(t2tb(sK24),empty(vertex),vertex)))))
| mem(vertex,t2tb2(X2),t2tb(sK6)) )
| ~ spl44_176 ),
inference(superposition,[],[f272,f1815]) ).
tff(f1815,plain,
( ( sK40(t2tb(sK24),empty(vertex),vertex) = t2tb2(tb2t2(sK40(t2tb(sK24),empty(vertex),vertex))) )
| ~ spl44_176 ),
inference(avatar_component_clause,[],[f1814]) ).
tff(f2079,plain,
( spl44_200
| ~ spl44_190
| spl44_208
| ~ spl44_176 ),
inference(avatar_split_clause,[],[f1987,f1814,f2077,f2002,f2043]) ).
tff(f2043,plain,
( spl44_200
<=> ( tb2t2(sK40(t2tb(sK24),empty(vertex),vertex)) = sK12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_200])]) ).
tff(f2002,plain,
( spl44_190
<=> mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(sK15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_190])]) ).
tff(f2077,plain,
( spl44_208
<=> ! [X7: uni] :
( ~ sort1(vertex,X7)
| mem(vertex,X7,t2tb(sK16))
| ~ mem(vertex,X7,t2tb(g_succ1(tb2t2(sK40(t2tb(sK24),empty(vertex),vertex)))))
| mem(vertex,X7,t2tb(sK15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_208])]) ).
tff(f1987,plain,
( ! [X7: uni] :
( ~ sort1(vertex,X7)
| mem(vertex,X7,t2tb(sK15))
| ~ mem(vertex,X7,t2tb(g_succ1(tb2t2(sK40(t2tb(sK24),empty(vertex),vertex)))))
| mem(vertex,X7,t2tb(sK16))
| ~ mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(sK15))
| ( tb2t2(sK40(t2tb(sK24),empty(vertex),vertex)) = sK12 ) )
| ~ spl44_176 ),
inference(superposition,[],[f1335,f1815]) ).
tff(f2075,plain,
( spl44_207
| ~ spl44_187
| ~ spl44_176 ),
inference(avatar_split_clause,[],[f1974,f1814,f1992,f2073]) ).
tff(f2073,plain,
( spl44_207
<=> ! [X3: vertex1] :
( ~ $less($sum(tb2t3(get(int,vertex,t2tb1(sK7),sK40(t2tb(sK24),empty(vertex),vertex))),weight1(tb2t2(sK40(t2tb(sK24),empty(vertex),vertex)),X3)),tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X3))))
| ~ mem(vertex,t2tb2(X3),t2tb(g_succ1(tb2t2(sK40(t2tb(sK24),empty(vertex),vertex))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_207])]) ).
tff(f1974,plain,
( ! [X3: vertex1] :
( ~ mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(sK8))
| ~ $less($sum(tb2t3(get(int,vertex,t2tb1(sK7),sK40(t2tb(sK24),empty(vertex),vertex))),weight1(tb2t2(sK40(t2tb(sK24),empty(vertex),vertex)),X3)),tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(X3))))
| ~ mem(vertex,t2tb2(X3),t2tb(g_succ1(tb2t2(sK40(t2tb(sK24),empty(vertex),vertex))))) )
| ~ spl44_176 ),
inference(superposition,[],[f273,f1815]) ).
tff(f2071,plain,
( ~ spl44_203
| ~ spl44_206
| ~ spl44_26
| spl44_40
| ~ spl44_176 ),
inference(avatar_split_clause,[],[f1984,f1814,f568,f508,f2069,f2058]) ).
tff(f2058,plain,
( spl44_203
<=> mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(g_succ1(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_203])]) ).
tff(f2069,plain,
( spl44_206
<=> $less($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK26))),weight1(sK26,tb2t2(sK40(t2tb(sK24),empty(vertex),vertex)))),tb2t3(get(int,vertex,t2tb1(sK17),sK40(t2tb(sK24),empty(vertex),vertex)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_206])]) ).
tff(f1984,plain,
( ~ $less($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK26))),weight1(sK26,tb2t2(sK40(t2tb(sK24),empty(vertex),vertex)))),tb2t3(get(int,vertex,t2tb1(sK17),sK40(t2tb(sK24),empty(vertex),vertex))))
| ~ mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(g_succ1(sK26)))
| ~ spl44_26
| spl44_40
| ~ spl44_176 ),
inference(superposition,[],[f1035,f1815]) ).
tff(f2067,plain,
( ~ spl44_192
| spl44_204
| spl44_205
| ~ spl44_176 ),
inference(avatar_split_clause,[],[f1975,f1814,f2065,f2062,f2012]) ).
tff(f2012,plain,
( spl44_192
<=> mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_192])]) ).
tff(f2062,plain,
( spl44_204
<=> $less(tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK13(tb2t2(sK40(t2tb(sK24),empty(vertex),vertex)))))),tb2t3(get(int,vertex,t2tb1(sK7),sK40(t2tb(sK24),empty(vertex),vertex)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_204])]) ).
tff(f2065,plain,
( spl44_205
<=> ! [X4: $int,X5: vertex1] :
( ~ path1(sK0,X5,X4)
| mem(vertex,t2tb2(X5),t2tb(sK8))
| ~ $less(X4,tb2t3(get(int,vertex,t2tb1(sK7),sK40(t2tb(sK24),empty(vertex),vertex)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_205])]) ).
tff(f1975,plain,
( ! [X4: $int,X5: vertex1] :
( ~ path1(sK0,X5,X4)
| $less(tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK13(tb2t2(sK40(t2tb(sK24),empty(vertex),vertex)))))),tb2t3(get(int,vertex,t2tb1(sK7),sK40(t2tb(sK24),empty(vertex),vertex))))
| ~ $less(X4,tb2t3(get(int,vertex,t2tb1(sK7),sK40(t2tb(sK24),empty(vertex),vertex))))
| ~ mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(sK6))
| mem(vertex,t2tb2(X5),t2tb(sK8)) )
| ~ spl44_176 ),
inference(superposition,[],[f274,f1815]) ).
tff(f2060,plain,
( spl44_188
| spl44_190
| ~ spl44_203
| ~ spl44_97
| ~ spl44_176 ),
inference(avatar_split_clause,[],[f1983,f1814,f972,f2058,f2002,f1996]) ).
tff(f1996,plain,
( spl44_188
<=> mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_188])]) ).
tff(f1983,plain,
( ~ mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(g_succ1(sK26)))
| mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(sK15))
| mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(sK16))
| ~ spl44_97
| ~ spl44_176 ),
inference(superposition,[],[f973,f1815]) ).
tff(f973,plain,
( ! [X0: vertex1] :
( ~ mem(vertex,t2tb2(X0),t2tb(g_succ1(sK26)))
| mem(vertex,t2tb2(X0),t2tb(sK16))
| mem(vertex,t2tb2(X0),t2tb(sK15)) )
| ~ spl44_97 ),
inference(avatar_component_clause,[],[f972]) ).
tff(f2056,plain,
( spl44_194
| ~ spl44_193
| ~ spl44_176 ),
inference(avatar_split_clause,[],[f1969,f1814,f2016,f2019]) ).
tff(f2019,plain,
( spl44_194
<=> mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(g_succ1(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_194])]) ).
tff(f2016,plain,
( spl44_193
<=> mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_193])]) ).
tff(f1969,plain,
( ~ mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(sK18))
| mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(g_succ1(sK12)))
| ~ spl44_176 ),
inference(superposition,[],[f260,f1815]) ).
tff(f2053,plain,
( ~ spl44_187
| ~ spl44_192
| ~ spl44_176 ),
inference(avatar_split_clause,[],[f1976,f1814,f2012,f1992]) ).
tff(f1976,plain,
( ~ mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(sK6))
| ~ mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(sK8))
| ~ spl44_176 ),
inference(superposition,[],[f281,f1815]) ).
tff(f2052,plain,
( spl44_202
| spl44_200
| ~ spl44_190
| ~ spl44_176 ),
inference(avatar_split_clause,[],[f1967,f1814,f2002,f2043,f2050]) ).
tff(f2050,plain,
( spl44_202
<=> ! [X1: vertex1] :
( ~ mem(vertex,t2tb2(X1),t2tb(g_succ1(tb2t2(sK40(t2tb(sK24),empty(vertex),vertex)))))
| ~ $less($sum(tb2t3(get(int,vertex,t2tb1(sK17),sK40(t2tb(sK24),empty(vertex),vertex))),weight1(tb2t2(sK40(t2tb(sK24),empty(vertex),vertex)),X1)),tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_202])]) ).
tff(f1967,plain,
( ! [X1: vertex1] :
( ~ mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(sK15))
| ( tb2t2(sK40(t2tb(sK24),empty(vertex),vertex)) = sK12 )
| ~ mem(vertex,t2tb2(X1),t2tb(g_succ1(tb2t2(sK40(t2tb(sK24),empty(vertex),vertex)))))
| ~ $less($sum(tb2t3(get(int,vertex,t2tb1(sK17),sK40(t2tb(sK24),empty(vertex),vertex))),weight1(tb2t2(sK40(t2tb(sK24),empty(vertex),vertex)),X1)),tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(X1)))) )
| ~ spl44_176 ),
inference(superposition,[],[f254,f1815]) ).
tff(f2048,plain,
( spl44_200
| ~ spl44_190
| spl44_201
| ~ spl44_176 ),
inference(avatar_split_clause,[],[f1966,f1814,f2046,f2002,f2043]) ).
tff(f2046,plain,
( spl44_201
<=> ! [X0: vertex1] :
( mem(vertex,t2tb2(X0),t2tb(sK15))
| mem(vertex,t2tb2(X0),t2tb(sK16))
| ~ mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(sK40(t2tb(sK24),empty(vertex),vertex))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_201])]) ).
tff(f1966,plain,
( ! [X0: vertex1] :
( mem(vertex,t2tb2(X0),t2tb(sK15))
| ~ mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(sK15))
| ~ mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(sK40(t2tb(sK24),empty(vertex),vertex)))))
| ( tb2t2(sK40(t2tb(sK24),empty(vertex),vertex)) = sK12 )
| mem(vertex,t2tb2(X0),t2tb(sK16)) )
| ~ spl44_176 ),
inference(superposition,[],[f251,f1815]) ).
tff(f2041,plain,
( spl44_199
| ~ spl44_190
| ~ spl44_176 ),
inference(avatar_split_clause,[],[f1970,f1814,f2002,f2039]) ).
tff(f2039,plain,
( spl44_199
<=> shortest_path1(sK0,tb2t2(sK40(t2tb(sK24),empty(vertex),vertex)),tb2t3(get(int,vertex,t2tb1(sK17),sK40(t2tb(sK24),empty(vertex),vertex)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_199])]) ).
tff(f1970,plain,
( ~ mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(sK15))
| shortest_path1(sK0,tb2t2(sK40(t2tb(sK24),empty(vertex),vertex)),tb2t3(get(int,vertex,t2tb1(sK17),sK40(t2tb(sK24),empty(vertex),vertex))))
| ~ spl44_176 ),
inference(superposition,[],[f261,f1815]) ).
tff(f2037,plain,
( ~ spl44_188
| spl44_198
| ~ spl44_176 ),
inference(avatar_split_clause,[],[f1971,f1814,f2035,f1996]) ).
tff(f2035,plain,
( spl44_198
<=> path1(sK0,tb2t2(sK40(t2tb(sK24),empty(vertex),vertex)),tb2t3(get(int,vertex,t2tb1(sK17),sK40(t2tb(sK24),empty(vertex),vertex)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_198])]) ).
tff(f1971,plain,
( path1(sK0,tb2t2(sK40(t2tb(sK24),empty(vertex),vertex)),tb2t3(get(int,vertex,t2tb1(sK17),sK40(t2tb(sK24),empty(vertex),vertex))))
| ~ mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(sK16))
| ~ spl44_176 ),
inference(superposition,[],[f262,f1815]) ).
tff(f2033,plain,
( ~ spl44_194
| ~ spl44_197
| spl44_193
| ~ spl44_37
| ~ spl44_176 ),
inference(avatar_split_clause,[],[f1982,f1814,f554,f2016,f2031,f2019]) ).
tff(f2031,plain,
( spl44_197
<=> $less($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK12))),weight1(sK12,tb2t2(sK40(t2tb(sK24),empty(vertex),vertex)))),tb2t3(get(int,vertex,t2tb1(sK17),sK40(t2tb(sK24),empty(vertex),vertex)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_197])]) ).
tff(f1982,plain,
( mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(sK18))
| ~ $less($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK12))),weight1(sK12,tb2t2(sK40(t2tb(sK24),empty(vertex),vertex)))),tb2t3(get(int,vertex,t2tb1(sK17),sK40(t2tb(sK24),empty(vertex),vertex))))
| ~ mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(g_succ1(sK12)))
| ~ spl44_37
| ~ spl44_176 ),
inference(superposition,[],[f555,f1815]) ).
tff(f2029,plain,
( ~ spl44_196
| ~ spl44_192
| ~ spl44_176 ),
inference(avatar_split_clause,[],[f1972,f1814,f2012,f2027]) ).
tff(f2027,plain,
( spl44_196
<=> $less(tb2t3(get(int,vertex,t2tb1(sK7),sK40(t2tb(sK24),empty(vertex),vertex))),tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK12)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_196])]) ).
tff(f1972,plain,
( ~ mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(sK6))
| ~ $less(tb2t3(get(int,vertex,t2tb1(sK7),sK40(t2tb(sK24),empty(vertex),vertex))),tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK12))))
| ~ spl44_176 ),
inference(superposition,[],[f269,f1815]) ).
tff(f2025,plain,
( spl44_188
| spl44_190
| spl44_195
| ~ spl44_176 ),
inference(avatar_split_clause,[],[f1985,f1814,f2023,f2002,f1996]) ).
tff(f2023,plain,
( spl44_195
<=> ! [X6: uni] :
( ~ mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(g_succ1(tb2t2(X6))))
| ~ sort1(vertex,X6)
| ( tb2t2(X6) = sK12 )
| ~ mem(vertex,X6,t2tb(sK15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_195])]) ).
tff(f1985,plain,
( ! [X6: uni] :
( ~ mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(g_succ1(tb2t2(X6))))
| ~ mem(vertex,X6,t2tb(sK15))
| ( tb2t2(X6) = sK12 )
| mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(sK15))
| ~ sort1(vertex,X6)
| mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(sK16)) )
| ~ spl44_176 ),
inference(superposition,[],[f1148,f1815]) ).
tff(f2021,plain,
( spl44_193
| ~ spl44_194
| spl44_190
| spl44_188
| ~ spl44_34
| ~ spl44_176 ),
inference(avatar_split_clause,[],[f1981,f1814,f542,f1996,f2002,f2019,f2016]) ).
tff(f1981,plain,
( mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(sK16))
| mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(sK15))
| ~ mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(g_succ1(sK12)))
| mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(sK18))
| ~ spl44_34
| ~ spl44_176 ),
inference(superposition,[],[f543,f1815]) ).
tff(f2014,plain,
( spl44_191
| ~ spl44_192
| ~ spl44_176 ),
inference(avatar_split_clause,[],[f1977,f1814,f2012,f2009]) ).
tff(f2009,plain,
( spl44_191
<=> path1(sK0,tb2t2(sK40(t2tb(sK24),empty(vertex),vertex)),tb2t3(get(int,vertex,t2tb1(sK7),sK40(t2tb(sK24),empty(vertex),vertex)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_191])]) ).
tff(f1977,plain,
( ~ mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(sK6))
| path1(sK0,tb2t2(sK40(t2tb(sK24),empty(vertex),vertex)),tb2t3(get(int,vertex,t2tb1(sK7),sK40(t2tb(sK24),empty(vertex),vertex))))
| ~ spl44_176 ),
inference(superposition,[],[f282,f1815]) ).
tff(f2007,plain,
( ~ spl44_190
| ~ spl44_188
| ~ spl44_176 ),
inference(avatar_split_clause,[],[f1968,f1814,f1996,f2002]) ).
tff(f1968,plain,
( ~ mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(sK16))
| ~ mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(sK15))
| ~ spl44_176 ),
inference(superposition,[],[f257,f1815]) ).
tff(f2004,plain,
( spl44_188
| ~ spl44_189
| spl44_190
| ~ spl44_113
| ~ spl44_176 ),
inference(avatar_split_clause,[],[f1986,f1814,f1166,f2002,f1999,f1996]) ).
tff(f1999,plain,
( spl44_189
<=> mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_189])]) ).
tff(f1986,plain,
( mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(sK15))
| ~ mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15))))))
| mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(sK16))
| ~ spl44_113
| ~ spl44_176 ),
inference(superposition,[],[f1167,f1815]) ).
tff(f1994,plain,
( spl44_186
| ~ spl44_187
| ~ spl44_176 ),
inference(avatar_split_clause,[],[f1978,f1814,f1992,f1989]) ).
tff(f1989,plain,
( spl44_186
<=> shortest_path1(sK0,tb2t2(sK40(t2tb(sK24),empty(vertex),vertex)),tb2t3(get(int,vertex,t2tb1(sK7),sK40(t2tb(sK24),empty(vertex),vertex)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_186])]) ).
tff(f1978,plain,
( ~ mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(sK8))
| shortest_path1(sK0,tb2t2(sK40(t2tb(sK24),empty(vertex),vertex)),tb2t3(get(int,vertex,t2tb1(sK7),sK40(t2tb(sK24),empty(vertex),vertex))))
| ~ spl44_176 ),
inference(superposition,[],[f283,f1815]) ).
tff(f1952,plain,
( spl44_90
| ~ spl44_31
| spl44_55 ),
inference(avatar_split_clause,[],[f1950,f670,f530,f941]) ).
tff(f1950,plain,
( mem(vertex,t2tb2(sK0),t2tb(sK8))
| ~ spl44_31
| spl44_55 ),
inference(subsumption_resolution,[],[f1940,f671]) ).
tff(f671,plain,
( ~ mem(vertex,t2tb2(sK0),t2tb(sK6))
| spl44_55 ),
inference(avatar_component_clause,[],[f670]) ).
tff(f1949,plain,
( ~ spl44_31
| spl44_55
| spl44_90 ),
inference(avatar_contradiction_clause,[],[f1948]) ).
tff(f1948,plain,
( $false
| ~ spl44_31
| spl44_55
| spl44_90 ),
inference(subsumption_resolution,[],[f1947,f671]) ).
tff(f1947,plain,
( mem(vertex,t2tb2(sK0),t2tb(sK6))
| ~ spl44_31
| spl44_90 ),
inference(subsumption_resolution,[],[f1940,f942]) ).
tff(f1946,plain,
( spl44_185
| ~ spl44_45
| spl44_88 ),
inference(avatar_split_clause,[],[f1942,f923,f593,f1944]) ).
tff(f593,plain,
( spl44_45
<=> inv_src1(sK0,sK15,sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_45])]) ).
tff(f1942,plain,
( mem(vertex,t2tb2(sK0),t2tb(sK16))
| ~ spl44_45
| spl44_88 ),
inference(subsumption_resolution,[],[f1941,f924]) ).
tff(f1941,plain,
( mem(vertex,t2tb2(sK0),t2tb(sK15))
| mem(vertex,t2tb2(sK0),t2tb(sK16))
| ~ spl44_45 ),
inference(resolution,[],[f381,f594]) ).
tff(f594,plain,
( inv_src1(sK0,sK15,sK16)
| ~ spl44_45 ),
inference(avatar_component_clause,[],[f593]) ).
tff(f1938,plain,
( ~ spl44_184
| ~ spl44_143 ),
inference(avatar_split_clause,[],[f1937,f1610,f1929]) ).
tff(f1929,plain,
( spl44_184
<=> $less($sum(1,cardinal1(vertex,t2tb(sK16))),$sum(1,cardinal1(vertex,t2tb(sK16)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_184])]) ).
tff(f1937,plain,
( ~ $less($sum(1,cardinal1(vertex,t2tb(sK16))),$sum(1,cardinal1(vertex,t2tb(sK16))))
| ~ spl44_143 ),
inference(subsumption_resolution,[],[f1934,f220]) ).
tff(f220,plain,
! [X0: uni,X1: ty] : subset(X1,X0,X0),
inference(cnf_transformation,[],[f151]) ).
tff(f151,plain,
! [X0: uni,X1: ty] : subset(X1,X0,X0),
inference(rectify,[],[f16]) ).
tff(f16,axiom,
! [X10: uni,X0: ty] : subset(X0,X10,X10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_refl) ).
tff(f1934,plain,
( ~ $less($sum(1,cardinal1(vertex,t2tb(sK16))),$sum(1,cardinal1(vertex,t2tb(sK16))))
| ~ subset(vertex,t2tb(sK24),t2tb(sK24))
| ~ spl44_143 ),
inference(superposition,[],[f1763,f1611]) ).
tff(f1763,plain,
( ! [X1: uni] :
( ~ $less($sum(1,cardinal1(vertex,t2tb(sK16))),cardinal1(vertex,X1))
| ~ subset(vertex,X1,t2tb(sK24)) )
| ~ spl44_143 ),
inference(superposition,[],[f340,f1611]) ).
tff(f1931,plain,
( ~ spl44_184
| ~ spl44_143 ),
inference(avatar_split_clause,[],[f1927,f1610,f1929]) ).
tff(f1927,plain,
( ~ $less($sum(1,cardinal1(vertex,t2tb(sK16))),$sum(1,cardinal1(vertex,t2tb(sK16))))
| ~ spl44_143 ),
inference(subsumption_resolution,[],[f1924,f220]) ).
tff(f1924,plain,
( ~ subset(vertex,t2tb(sK24),t2tb(sK24))
| ~ $less($sum(1,cardinal1(vertex,t2tb(sK16))),$sum(1,cardinal1(vertex,t2tb(sK16))))
| ~ spl44_143 ),
inference(superposition,[],[f1762,f1611]) ).
tff(f1901,plain,
( spl44_135
| spl44_182 ),
inference(avatar_split_clause,[],[f1900,f1894,f1397]) ).
tff(f1397,plain,
( spl44_135
<=> is_empty(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_135])]) ).
tff(f1900,plain,
( is_empty(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15)))
| spl44_182 ),
inference(resolution,[],[f1895,f333]) ).
tff(f1895,plain,
( ~ sort1(vertex,sK38(remove(vertex,t2tb2(sK12),t2tb(sK15)),vertex))
| spl44_182 ),
inference(avatar_component_clause,[],[f1894]) ).
tff(f1899,plain,
( ~ spl44_182
| ~ spl44_183
| ~ spl44_180 ),
inference(avatar_split_clause,[],[f1892,f1881,f1897,f1894]) ).
tff(f1897,plain,
( spl44_183
<=> mem(vertex,sK38(remove(vertex,t2tb2(sK12),t2tb(sK15)),vertex),t2tb(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_183])]) ).
tff(f1892,plain,
( ~ mem(vertex,sK38(remove(vertex,t2tb2(sK12),t2tb(sK15)),vertex),t2tb(sK6))
| ~ sort1(vertex,sK38(remove(vertex,t2tb2(sK12),t2tb(sK15)),vertex))
| ~ spl44_180 ),
inference(resolution,[],[f1882,f896]) ).
tff(f896,plain,
! [X10: uni] :
( ~ mem(vertex,X10,t2tb(sK8))
| ~ sort1(vertex,X10)
| ~ mem(vertex,X10,t2tb(sK6)) ),
inference(superposition,[],[f777,f342]) ).
tff(f777,plain,
! [X7: uni] :
( ~ mem(vertex,contents(vertex,X7),t2tb(sK8))
| ~ mem(vertex,contents(vertex,X7),t2tb(sK6)) ),
inference(superposition,[],[f281,f683]) ).
tff(f1891,plain,
( ~ spl44_181
| ~ spl44_179 ),
inference(avatar_split_clause,[],[f1884,f1877,f1888]) ).
tff(f1888,plain,
( spl44_181
<=> mem(vertex,choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))),t2tb(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_181])]) ).
tff(f1884,plain,
( ~ mem(vertex,choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))),t2tb(sK6))
| ~ spl44_179 ),
inference(resolution,[],[f1878,f811]) ).
tff(f811,plain,
! [X9: uni] :
( ~ mem(vertex,choose(vertex,X9),t2tb(sK8))
| ~ mem(vertex,choose(vertex,X9),t2tb(sK6)) ),
inference(superposition,[],[f281,f684]) ).
tff(f1890,plain,
( ~ spl44_181
| ~ spl44_179 ),
inference(avatar_split_clause,[],[f1886,f1877,f1888]) ).
tff(f1886,plain,
( ~ mem(vertex,choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))),t2tb(sK6))
| ~ spl44_179 ),
inference(subsumption_resolution,[],[f1885,f394]) ).
tff(f1885,plain,
( ~ mem(vertex,choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))),t2tb(sK6))
| ~ sort1(vertex,choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))))
| ~ spl44_179 ),
inference(resolution,[],[f1878,f896]) ).
tff(f1883,plain,
( spl44_180
| spl44_135
| ~ spl44_132 ),
inference(avatar_split_clause,[],[f1875,f1362,f1397,f1881]) ).
tff(f1875,plain,
( is_empty(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15)))
| mem(vertex,sK38(remove(vertex,t2tb2(sK12),t2tb(sK15)),vertex),t2tb(sK8))
| ~ spl44_132 ),
inference(resolution,[],[f1442,f332]) ).
tff(f1442,plain,
( ! [X5: uni] :
( ~ mem(vertex,X5,remove(vertex,t2tb2(sK12),t2tb(sK15)))
| mem(vertex,X5,t2tb(sK8)) )
| ~ spl44_132 ),
inference(superposition,[],[f1384,f1363]) ).
tff(f1384,plain,
! [X21: uni,X22: uni,X23: uni,X20: ty] :
( ~ mem(X20,X21,remove(X20,X23,X22))
| mem(X20,X21,X22) ),
inference(resolution,[],[f363,f386]) ).
tff(f363,plain,
! [X2: ty,X3: uni,X0: uni,X1: uni] :
( ~ subset(X2,X0,X1)
| mem(X2,X3,X1)
| ~ mem(X2,X3,X0) ),
inference(cnf_transformation,[],[f197]) ).
tff(f1879,plain,
( spl44_179
| spl44_135
| ~ spl44_132 ),
inference(avatar_split_clause,[],[f1874,f1362,f1397,f1877]) ).
tff(f1874,plain,
( is_empty(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15)))
| mem(vertex,choose(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))),t2tb(sK8))
| ~ spl44_132 ),
inference(resolution,[],[f1442,f401]) ).
tff(f1852,plain,
( ~ spl44_178
| ~ spl44_103
| ~ spl44_104 ),
inference(avatar_split_clause,[],[f1847,f1056,f1053,f1849]) ).
tff(f1847,plain,
( ~ mem(vertex,sK38(t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))),vertex),t2tb(sK6))
| ~ sort1(vertex,sK38(t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))),vertex))
| ~ spl44_104 ),
inference(resolution,[],[f1057,f896]) ).
tff(f1821,plain,
( spl44_177
| ~ spl44_174 ),
inference(avatar_split_clause,[],[f1817,f1805,f1819]) ).
tff(f1819,plain,
( spl44_177
<=> ( t2tb2(tb2t2(sK40(t2tb(sK24),t2tb(sK3),vertex))) = sK40(t2tb(sK24),t2tb(sK3),vertex) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_177])]) ).
tff(f1805,plain,
( spl44_174
<=> sort1(vertex,sK40(t2tb(sK24),t2tb(sK3),vertex)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_174])]) ).
tff(f1817,plain,
( ( t2tb2(tb2t2(sK40(t2tb(sK24),t2tb(sK3),vertex))) = sK40(t2tb(sK24),t2tb(sK3),vertex) )
| ~ spl44_174 ),
inference(resolution,[],[f1806,f399]) ).
tff(f1806,plain,
( sort1(vertex,sK40(t2tb(sK24),t2tb(sK3),vertex))
| ~ spl44_174 ),
inference(avatar_component_clause,[],[f1805]) ).
tff(f1816,plain,
( spl44_176
| ~ spl44_173 ),
inference(avatar_split_clause,[],[f1812,f1797,f1814]) ).
tff(f1797,plain,
( spl44_173
<=> sort1(vertex,sK40(t2tb(sK24),empty(vertex),vertex)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_173])]) ).
tff(f1812,plain,
( ( sK40(t2tb(sK24),empty(vertex),vertex) = t2tb2(tb2t2(sK40(t2tb(sK24),empty(vertex),vertex))) )
| ~ spl44_173 ),
inference(resolution,[],[f1798,f399]) ).
tff(f1798,plain,
( sort1(vertex,sK40(t2tb(sK24),empty(vertex),vertex))
| ~ spl44_173 ),
inference(avatar_component_clause,[],[f1797]) ).
tff(f1811,plain,
( spl44_175
| spl44_166 ),
inference(avatar_split_clause,[],[f1801,f1767,f1809]) ).
tff(f1767,plain,
( spl44_166
<=> subset(vertex,t2tb(sK24),t2tb(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_166])]) ).
tff(f1801,plain,
( mem(vertex,sK40(t2tb(sK24),t2tb(sK3),vertex),t2tb(sK24))
| spl44_166 ),
inference(resolution,[],[f1768,f362]) ).
tff(f1768,plain,
( ~ subset(vertex,t2tb(sK24),t2tb(sK3))
| spl44_166 ),
inference(avatar_component_clause,[],[f1767]) ).
tff(f1807,plain,
( spl44_174
| spl44_166 ),
inference(avatar_split_clause,[],[f1803,f1767,f1805]) ).
tff(f1803,plain,
( sort1(vertex,sK40(t2tb(sK24),t2tb(sK3),vertex))
| spl44_166 ),
inference(resolution,[],[f1768,f361]) ).
tff(f1799,plain,
( spl44_173
| spl44_171 ),
inference(avatar_split_clause,[],[f1791,f1785,f1797]) ).
tff(f1791,plain,
( sort1(vertex,sK40(t2tb(sK24),empty(vertex),vertex))
| spl44_171 ),
inference(resolution,[],[f1786,f361]) ).
tff(f1786,plain,
( ~ subset(vertex,t2tb(sK24),empty(vertex))
| spl44_171 ),
inference(avatar_component_clause,[],[f1785]) ).
tff(f1795,plain,
( spl44_172
| spl44_171 ),
inference(avatar_split_clause,[],[f1789,f1785,f1793]) ).
tff(f1789,plain,
( mem(vertex,sK40(t2tb(sK24),empty(vertex),vertex),t2tb(sK24))
| spl44_171 ),
inference(resolution,[],[f1786,f362]) ).
tff(f1787,plain,
( ~ spl44_171
| ~ spl44_167
| ~ spl44_143 ),
inference(avatar_split_clause,[],[f1761,f1610,f1770,f1785]) ).
tff(f1761,plain,
( ~ $less(0,$sum(1,cardinal1(vertex,t2tb(sK16))))
| ~ subset(vertex,t2tb(sK24),empty(vertex))
| ~ spl44_143 ),
inference(superposition,[],[f1121,f1611]) ).
tff(f1121,plain,
! [X0: ty,X1: uni] :
( ~ $less(0,cardinal1(X0,X1))
| ~ subset(X0,X1,empty(X0)) ),
inference(superposition,[],[f340,f676]) ).
tff(f1783,plain,
( spl44_169
| ~ spl44_170
| ~ spl44_143 ),
inference(avatar_split_clause,[],[f1764,f1610,f1781,f1778]) ).
tff(f1781,plain,
( spl44_170
<=> ( 0 = $sum(1,cardinal1(vertex,t2tb(sK16))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_170])]) ).
tff(f1764,plain,
( ( 0 != $sum(1,cardinal1(vertex,t2tb(sK16))) )
| is_empty(vertex,t2tb(sK24))
| ~ spl44_143 ),
inference(superposition,[],[f350,f1611]) ).
tff(f350,plain,
! [X0: ty,X1: uni] :
( ( 0 != cardinal1(X0,X1) )
| is_empty(X0,X1) ),
inference(cnf_transformation,[],[f106]) ).
tff(f1776,plain,
( ~ spl44_168
| ~ spl44_143 ),
inference(avatar_split_clause,[],[f1765,f1610,f1774]) ).
tff(f1774,plain,
( spl44_168
<=> $less($sum(1,cardinal1(vertex,t2tb(sK16))),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_168])]) ).
tff(f1765,plain,
( ~ $less($sum(1,cardinal1(vertex,t2tb(sK16))),0)
| ~ spl44_143 ),
inference(superposition,[],[f385,f1611]) ).
tff(f385,plain,
! [X0: ty,X1: uni] : ~ $less(cardinal1(X0,X1),0),
inference(cnf_transformation,[],[f157]) ).
tff(f157,plain,
! [X0: ty,X1: uni] : ~ $less(cardinal1(X0,X1),0),
inference(rectify,[],[f91]) ).
tff(f91,plain,
! [X0: ty,X10: uni] : ~ $less(cardinal1(X0,X10),0),
inference(theory_normalization,[],[f38]) ).
tff(f38,axiom,
! [X0: ty,X10: uni] : $lesseq(0,cardinal1(X0,X10)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cardinal_nonneg) ).
tff(f1772,plain,
( ~ spl44_166
| ~ spl44_167
| ~ spl44_75
| ~ spl44_143 ),
inference(avatar_split_clause,[],[f1760,f1610,f825,f1770,f1767]) ).
tff(f825,plain,
( spl44_75
<=> ( 0 = cardinal1(vertex,t2tb(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_75])]) ).
tff(f1760,plain,
( ~ $less(0,$sum(1,cardinal1(vertex,t2tb(sK16))))
| ~ subset(vertex,t2tb(sK24),t2tb(sK3))
| ~ spl44_75
| ~ spl44_143 ),
inference(superposition,[],[f1122,f1611]) ).
tff(f1122,plain,
( ! [X2: uni] :
( ~ $less(0,cardinal1(vertex,X2))
| ~ subset(vertex,X2,t2tb(sK3)) )
| ~ spl44_75 ),
inference(superposition,[],[f340,f826]) ).
tff(f826,plain,
( ( 0 = cardinal1(vertex,t2tb(sK3)) )
| ~ spl44_75 ),
inference(avatar_component_clause,[],[f825]) ).
tff(f1754,plain,
( spl44_165
| ~ spl44_164 ),
inference(avatar_split_clause,[],[f1750,f1741,f1752]) ).
tff(f1752,plain,
( spl44_165
<=> ( t2tb2(tb2t2(sK40(t2tb(v1),t2tb(sK3),vertex))) = sK40(t2tb(v1),t2tb(sK3),vertex) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_165])]) ).
tff(f1741,plain,
( spl44_164
<=> sort1(vertex,sK40(t2tb(v1),t2tb(sK3),vertex)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_164])]) ).
tff(f1750,plain,
( ( t2tb2(tb2t2(sK40(t2tb(v1),t2tb(sK3),vertex))) = sK40(t2tb(v1),t2tb(sK3),vertex) )
| ~ spl44_164 ),
inference(resolution,[],[f1742,f399]) ).
tff(f1742,plain,
( sort1(vertex,sK40(t2tb(v1),t2tb(sK3),vertex))
| ~ spl44_164 ),
inference(avatar_component_clause,[],[f1741]) ).
tff(f1743,plain,
( spl44_164
| spl44_162 ),
inference(avatar_split_clause,[],[f1735,f1729,f1741]) ).
tff(f1729,plain,
( spl44_162
<=> subset(vertex,t2tb(v1),t2tb(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_162])]) ).
tff(f1735,plain,
( sort1(vertex,sK40(t2tb(v1),t2tb(sK3),vertex))
| spl44_162 ),
inference(resolution,[],[f1730,f361]) ).
tff(f1730,plain,
( ~ subset(vertex,t2tb(v1),t2tb(sK3))
| spl44_162 ),
inference(avatar_component_clause,[],[f1729]) ).
tff(f1739,plain,
( spl44_163
| spl44_162 ),
inference(avatar_split_clause,[],[f1733,f1729,f1737]) ).
tff(f1737,plain,
( spl44_163
<=> mem(vertex,sK40(t2tb(v1),t2tb(sK3),vertex),t2tb(v1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_163])]) ).
tff(f1733,plain,
( mem(vertex,sK40(t2tb(v1),t2tb(sK3),vertex),t2tb(v1))
| spl44_162 ),
inference(resolution,[],[f1730,f362]) ).
tff(f1731,plain,
( ~ spl44_162
| ~ spl44_36
| spl44_148 ),
inference(avatar_split_clause,[],[f1722,f1645,f550,f1729]) ).
tff(f550,plain,
( spl44_36
<=> subset(vertex,t2tb(sK15),t2tb(v1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_36])]) ).
tff(f1645,plain,
( spl44_148
<=> subset(vertex,t2tb(sK15),t2tb(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_148])]) ).
tff(f1722,plain,
( ~ subset(vertex,t2tb(v1),t2tb(sK3))
| ~ spl44_36
| spl44_148 ),
inference(resolution,[],[f1684,f551]) ).
tff(f551,plain,
( subset(vertex,t2tb(sK15),t2tb(v1))
| ~ spl44_36 ),
inference(avatar_component_clause,[],[f550]) ).
tff(f1684,plain,
( ! [X0: uni] :
( ~ subset(vertex,t2tb(sK15),X0)
| ~ subset(vertex,X0,t2tb(sK3)) )
| spl44_148 ),
inference(resolution,[],[f1646,f223]) ).
tff(f223,plain,
! [X2: uni,X3: uni,X0: ty,X1: uni] :
( subset(X0,X1,X2)
| ~ subset(X0,X3,X2)
| ~ subset(X0,X1,X3) ),
inference(cnf_transformation,[],[f168]) ).
tff(f168,plain,
! [X3: uni,X0: ty,X2: uni,X1: uni] :
( subset(X0,X1,X2)
| ~ subset(X0,X1,X3)
| ~ subset(X0,X3,X2) ),
inference(flattening,[],[f167]) ).
tff(f167,plain,
! [X0: ty,X1: uni,X3: uni,X2: uni] :
( subset(X0,X1,X2)
| ~ subset(X0,X3,X2)
| ~ subset(X0,X1,X3) ),
inference(ennf_transformation,[],[f143]) ).
tff(f143,plain,
! [X0: ty,X1: uni,X3: uni,X2: uni] :
( subset(X0,X1,X3)
=> ( subset(X0,X3,X2)
=> subset(X0,X1,X2) ) ),
inference(rectify,[],[f17]) ).
tff(f17,axiom,
! [X0: ty,X8: uni,X11: uni,X9: uni] :
( subset(X0,X8,X9)
=> ( subset(X0,X9,X11)
=> subset(X0,X8,X11) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_trans) ).
tff(f1646,plain,
( ~ subset(vertex,t2tb(sK15),t2tb(sK3))
| spl44_148 ),
inference(avatar_component_clause,[],[f1645]) ).
tff(f1721,plain,
( spl44_161
| spl44_147 ),
inference(avatar_split_clause,[],[f1709,f1641,f1719]) ).
tff(f1719,plain,
( spl44_161
<=> sort1(vertex,sK40(t2tb(sK15),remove(vertex,t2tb2(sK12),t2tb(sK15)),vertex)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_161])]) ).
tff(f1641,plain,
( spl44_147
<=> subset(vertex,t2tb(sK15),remove(vertex,t2tb2(sK12),t2tb(sK15))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_147])]) ).
tff(f1709,plain,
( sort1(vertex,sK40(t2tb(sK15),remove(vertex,t2tb2(sK12),t2tb(sK15)),vertex))
| spl44_147 ),
inference(resolution,[],[f1642,f361]) ).
tff(f1642,plain,
( ~ subset(vertex,t2tb(sK15),remove(vertex,t2tb2(sK12),t2tb(sK15)))
| spl44_147 ),
inference(avatar_component_clause,[],[f1641]) ).
tff(f1717,plain,
( ~ spl44_160
| spl44_147 ),
inference(avatar_split_clause,[],[f1708,f1641,f1715]) ).
tff(f1715,plain,
( spl44_160
<=> mem(vertex,sK40(t2tb(sK15),remove(vertex,t2tb2(sK12),t2tb(sK15)),vertex),remove(vertex,t2tb2(sK12),t2tb(sK15))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_160])]) ).
tff(f1708,plain,
( ~ mem(vertex,sK40(t2tb(sK15),remove(vertex,t2tb2(sK12),t2tb(sK15)),vertex),remove(vertex,t2tb2(sK12),t2tb(sK15)))
| spl44_147 ),
inference(resolution,[],[f1642,f360]) ).
tff(f360,plain,
! [X2: ty,X0: uni,X1: uni] :
( subset(X2,X0,X1)
| ~ mem(X2,sK40(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f197]) ).
tff(f1713,plain,
( spl44_159
| spl44_147 ),
inference(avatar_split_clause,[],[f1707,f1641,f1711]) ).
tff(f1711,plain,
( spl44_159
<=> mem(vertex,sK40(t2tb(sK15),remove(vertex,t2tb2(sK12),t2tb(sK15)),vertex),t2tb(sK15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_159])]) ).
tff(f1707,plain,
( mem(vertex,sK40(t2tb(sK15),remove(vertex,t2tb2(sK12),t2tb(sK15)),vertex),t2tb(sK15))
| spl44_147 ),
inference(resolution,[],[f1642,f362]) ).
tff(f1705,plain,
( spl44_158
| ~ spl44_157 ),
inference(avatar_split_clause,[],[f1701,f1693,f1703]) ).
tff(f1693,plain,
( spl44_157
<=> sort1(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_157])]) ).
tff(f1701,plain,
( ( t2tb2(tb2t2(sK40(t2tb(sK15),t2tb(sK3),vertex))) = sK40(t2tb(sK15),t2tb(sK3),vertex) )
| ~ spl44_157 ),
inference(resolution,[],[f1694,f399]) ).
tff(f1694,plain,
( sort1(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex))
| ~ spl44_157 ),
inference(avatar_component_clause,[],[f1693]) ).
tff(f1695,plain,
( spl44_157
| spl44_148 ),
inference(avatar_split_clause,[],[f1687,f1645,f1693]) ).
tff(f1687,plain,
( sort1(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex))
| spl44_148 ),
inference(resolution,[],[f1646,f361]) ).
tff(f1691,plain,
( spl44_156
| spl44_148 ),
inference(avatar_split_clause,[],[f1685,f1645,f1689]) ).
tff(f1685,plain,
( mem(vertex,sK40(t2tb(sK15),t2tb(sK3),vertex),t2tb(sK15))
| spl44_148 ),
inference(resolution,[],[f1646,f362]) ).
tff(f1683,plain,
( ~ spl44_155
| spl44_145 ),
inference(avatar_split_clause,[],[f1670,f1633,f1681]) ).
tff(f1681,plain,
( spl44_155
<=> mem(vertex,sK40(t2tb(sK15),t2tb(sK8),vertex),t2tb(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_155])]) ).
tff(f1633,plain,
( spl44_145
<=> subset(vertex,t2tb(sK15),t2tb(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_145])]) ).
tff(f1670,plain,
( ~ mem(vertex,sK40(t2tb(sK15),t2tb(sK8),vertex),t2tb(sK8))
| spl44_145 ),
inference(resolution,[],[f1634,f360]) ).
tff(f1634,plain,
( ~ subset(vertex,t2tb(sK15),t2tb(sK8))
| spl44_145 ),
inference(avatar_component_clause,[],[f1633]) ).
tff(f1679,plain,
( spl44_154
| spl44_145 ),
inference(avatar_split_clause,[],[f1671,f1633,f1677]) ).
tff(f1677,plain,
( spl44_154
<=> sort1(vertex,sK40(t2tb(sK15),t2tb(sK8),vertex)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_154])]) ).
tff(f1671,plain,
( sort1(vertex,sK40(t2tb(sK15),t2tb(sK8),vertex))
| spl44_145 ),
inference(resolution,[],[f1634,f361]) ).
tff(f1675,plain,
( spl44_153
| spl44_145 ),
inference(avatar_split_clause,[],[f1669,f1633,f1673]) ).
tff(f1673,plain,
( spl44_153
<=> mem(vertex,sK40(t2tb(sK15),t2tb(sK8),vertex),t2tb(sK15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_153])]) ).
tff(f1669,plain,
( mem(vertex,sK40(t2tb(sK15),t2tb(sK8),vertex),t2tb(sK15))
| spl44_145 ),
inference(resolution,[],[f1634,f362]) ).
tff(f1667,plain,
( spl44_151
| spl44_152
| ~ spl44_70 ),
inference(avatar_split_clause,[],[f1598,f753,f1665,f1662]) ).
tff(f1662,plain,
( spl44_151
<=> ( $sum(1,cardinal1(vertex,t2tb(sK8))) = cardinal1(vertex,t2tb(sK15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_151])]) ).
tff(f1598,plain,
( mem(vertex,t2tb2(sK12),t2tb(sK8))
| ( $sum(1,cardinal1(vertex,t2tb(sK8))) = cardinal1(vertex,t2tb(sK15)) )
| ~ spl44_70 ),
inference(superposition,[],[f216,f754]) ).
tff(f216,plain,
! [X2: ty,X0: uni,X1: uni] :
( ( $sum(1,cardinal1(X2,X0)) = cardinal1(X2,add(X2,X1,X0)) )
| mem(X2,X1,X0) ),
inference(cnf_transformation,[],[f209]) ).
tff(f209,plain,
! [X0: uni,X1: uni,X2: ty] :
( ( $sum(1,cardinal1(X2,X0)) = cardinal1(X2,add(X2,X1,X0)) )
| mem(X2,X1,X0) ),
inference(ennf_transformation,[],[f119]) ).
tff(f119,plain,
! [X0: uni,X1: uni,X2: ty] :
( ~ mem(X2,X1,X0)
=> ( $sum(1,cardinal1(X2,X0)) = cardinal1(X2,add(X2,X1,X0)) ) ),
inference(rectify,[],[f40]) ).
tff(f40,axiom,
! [X10: uni,X1: uni,X0: ty] :
( ~ mem(X0,X1,X10)
=> ( cardinal1(X0,add(X0,X1,X10)) = $sum(1,cardinal1(X0,X10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cardinal_add) ).
tff(f1660,plain,
( spl44_135
| ~ spl44_136 ),
inference(avatar_split_clause,[],[f1414,f1404,f1397]) ).
tff(f1404,plain,
( spl44_136
<=> ( 0 = cardinal1(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_136])]) ).
tff(f1414,plain,
( is_empty(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15)))
| ~ spl44_136 ),
inference(trivial_inequality_removal,[],[f1412]) ).
tff(f1412,plain,
( is_empty(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15)))
| ( 0 != 0 )
| ~ spl44_136 ),
inference(superposition,[],[f350,f1405]) ).
tff(f1405,plain,
( ( 0 = cardinal1(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))) )
| ~ spl44_136 ),
inference(avatar_component_clause,[],[f1404]) ).
tff(f1659,plain,
( spl44_150
| spl44_146 ),
inference(avatar_split_clause,[],[f1649,f1637,f1657]) ).
tff(f1657,plain,
( spl44_150
<=> mem(vertex,sK40(t2tb(sK15),empty(vertex),vertex),t2tb(sK15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_150])]) ).
tff(f1637,plain,
( spl44_146
<=> subset(vertex,t2tb(sK15),empty(vertex)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_146])]) ).
tff(f1649,plain,
( mem(vertex,sK40(t2tb(sK15),empty(vertex),vertex),t2tb(sK15))
| spl44_146 ),
inference(resolution,[],[f1638,f362]) ).
tff(f1638,plain,
( ~ subset(vertex,t2tb(sK15),empty(vertex))
| spl44_146 ),
inference(avatar_component_clause,[],[f1637]) ).
tff(f1655,plain,
( spl44_149
| spl44_146 ),
inference(avatar_split_clause,[],[f1651,f1637,f1653]) ).
tff(f1653,plain,
( spl44_149
<=> sort1(vertex,sK40(t2tb(sK15),empty(vertex),vertex)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_149])]) ).
tff(f1651,plain,
( sort1(vertex,sK40(t2tb(sK15),empty(vertex),vertex))
| spl44_146 ),
inference(resolution,[],[f1638,f361]) ).
tff(f1647,plain,
( ~ spl44_148
| ~ spl44_75
| ~ spl44_144 ),
inference(avatar_split_clause,[],[f1628,f1617,f825,f1645]) ).
tff(f1617,plain,
( spl44_144
<=> ( 1 = cardinal1(vertex,t2tb(sK15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_144])]) ).
tff(f1628,plain,
( ~ subset(vertex,t2tb(sK15),t2tb(sK3))
| ~ spl44_75
| ~ spl44_144 ),
inference(evaluation,[],[f1622]) ).
tff(f1622,plain,
( ~ $less(0,1)
| ~ subset(vertex,t2tb(sK15),t2tb(sK3))
| ~ spl44_75
| ~ spl44_144 ),
inference(superposition,[],[f1122,f1618]) ).
tff(f1618,plain,
( ( 1 = cardinal1(vertex,t2tb(sK15)) )
| ~ spl44_144 ),
inference(avatar_component_clause,[],[f1617]) ).
tff(f1643,plain,
( ~ spl44_147
| ~ spl44_136
| ~ spl44_144 ),
inference(avatar_split_clause,[],[f1629,f1617,f1404,f1641]) ).
tff(f1629,plain,
( ~ subset(vertex,t2tb(sK15),remove(vertex,t2tb2(sK12),t2tb(sK15)))
| ~ spl44_136
| ~ spl44_144 ),
inference(evaluation,[],[f1620]) ).
tff(f1620,plain,
( ~ subset(vertex,t2tb(sK15),remove(vertex,t2tb2(sK12),t2tb(sK15)))
| ~ $less(0,1)
| ~ spl44_136
| ~ spl44_144 ),
inference(superposition,[],[f1411,f1618]) ).
tff(f1411,plain,
( ! [X1: uni] :
( ~ $less(0,cardinal1(vertex,X1))
| ~ subset(vertex,X1,remove(vertex,t2tb2(sK12),t2tb(sK15))) )
| ~ spl44_136 ),
inference(superposition,[],[f340,f1405]) ).
tff(f1639,plain,
( ~ spl44_146
| ~ spl44_144 ),
inference(avatar_split_clause,[],[f1630,f1617,f1637]) ).
tff(f1630,plain,
( ~ subset(vertex,t2tb(sK15),empty(vertex))
| ~ spl44_144 ),
inference(evaluation,[],[f1623]) ).
tff(f1623,plain,
( ~ $less(0,1)
| ~ subset(vertex,t2tb(sK15),empty(vertex))
| ~ spl44_144 ),
inference(superposition,[],[f1121,f1618]) ).
tff(f1635,plain,
( ~ spl44_145
| ~ spl44_108
| ~ spl44_144 ),
inference(avatar_split_clause,[],[f1631,f1617,f1081,f1633]) ).
tff(f1081,plain,
( spl44_108
<=> ( 0 = cardinal1(vertex,t2tb(sK8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_108])]) ).
tff(f1631,plain,
( ~ subset(vertex,t2tb(sK15),t2tb(sK8))
| ~ spl44_108
| ~ spl44_144 ),
inference(evaluation,[],[f1621]) ).
tff(f1621,plain,
( ~ subset(vertex,t2tb(sK15),t2tb(sK8))
| ~ $less(0,1)
| ~ spl44_108
| ~ spl44_144 ),
inference(superposition,[],[f1123,f1618]) ).
tff(f1123,plain,
( ! [X3: uni] :
( ~ $less(0,cardinal1(vertex,X3))
| ~ subset(vertex,X3,t2tb(sK8)) )
| ~ spl44_108 ),
inference(superposition,[],[f340,f1082]) ).
tff(f1082,plain,
( ( 0 = cardinal1(vertex,t2tb(sK8)) )
| ~ spl44_108 ),
inference(avatar_component_clause,[],[f1081]) ).
tff(f1619,plain,
( spl44_144
| ~ spl44_70
| ~ spl44_78
| ~ spl44_108 ),
inference(avatar_split_clause,[],[f1615,f1081,f843,f753,f1617]) ).
tff(f1615,plain,
( ( 1 = cardinal1(vertex,t2tb(sK15)) )
| ~ spl44_70
| ~ spl44_78
| ~ spl44_108 ),
inference(evaluation,[],[f1614]) ).
tff(f1614,plain,
( ( $sum(1,0) = cardinal1(vertex,t2tb(sK15)) )
| ~ spl44_70
| ~ spl44_78
| ~ spl44_108 ),
inference(forward_demodulation,[],[f1613,f1082]) ).
tff(f1613,plain,
( ( $sum(1,cardinal1(vertex,t2tb(sK8))) = cardinal1(vertex,t2tb(sK15)) )
| ~ spl44_70
| ~ spl44_78 ),
inference(subsumption_resolution,[],[f1598,f1071]) ).
tff(f1071,plain,
( ! [X0: uni] : ~ mem(vertex,X0,t2tb(sK8))
| ~ spl44_78 ),
inference(resolution,[],[f844,f334]) ).
tff(f844,plain,
( is_empty(vertex,t2tb(sK8))
| ~ spl44_78 ),
inference(avatar_component_clause,[],[f843]) ).
tff(f1612,plain,
( spl44_143
| spl44_46
| ~ spl44_71 ),
inference(avatar_split_clause,[],[f1608,f758,f600,f1610]) ).
tff(f600,plain,
( spl44_46
<=> mem(vertex,t2tb2(sK20),t2tb(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_46])]) ).
tff(f1608,plain,
( ( $sum(1,cardinal1(vertex,t2tb(sK16))) = cardinal1(vertex,t2tb(sK24)) )
| spl44_46
| ~ spl44_71 ),
inference(subsumption_resolution,[],[f1599,f601]) ).
tff(f601,plain,
( ~ mem(vertex,t2tb2(sK20),t2tb(sK16))
| spl44_46 ),
inference(avatar_component_clause,[],[f600]) ).
tff(f1599,plain,
( mem(vertex,t2tb2(sK20),t2tb(sK16))
| ( $sum(1,cardinal1(vertex,t2tb(sK16))) = cardinal1(vertex,t2tb(sK24)) )
| ~ spl44_71 ),
inference(superposition,[],[f216,f759]) ).
tff(f1594,plain,
( spl44_142
| ~ spl44_131 ),
inference(avatar_split_clause,[],[f1587,f1358,f1592]) ).
tff(f1592,plain,
( spl44_142
<=> subset(vertex,remove(vertex,t2tb2(sK20),t2tb(sK16)),add(vertex,t2tb2(sK20),add(vertex,t2tb2(sK20),t2tb(sK24)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_142])]) ).
tff(f1587,plain,
( subset(vertex,remove(vertex,t2tb2(sK20),t2tb(sK16)),add(vertex,t2tb2(sK20),add(vertex,t2tb2(sK20),t2tb(sK24))))
| ~ spl44_131 ),
inference(superposition,[],[f1425,f1359]) ).
tff(f1571,plain,
( spl44_141
| ~ spl44_139 ),
inference(avatar_split_clause,[],[f1566,f1557,f1569]) ).
tff(f1557,plain,
( spl44_139
<=> ( get(int,vertex,t2tb1(sK25),t2tb2(sK20)) = t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK12))),weight1(sK12,sK20))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_139])]) ).
tff(f1566,plain,
( ( tb2t3(get(int,vertex,t2tb1(sK25),t2tb2(sK20))) = $sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK12))),weight1(sK12,sK20)) )
| ~ spl44_139 ),
inference(superposition,[],[f374,f1558]) ).
tff(f1558,plain,
( ( get(int,vertex,t2tb1(sK25),t2tb2(sK20)) = t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK12))),weight1(sK12,sK20))) )
| ~ spl44_139 ),
inference(avatar_component_clause,[],[f1557]) ).
tff(f374,plain,
! [X0: $int] : ( tb2t3(t2tb3(X0)) = X0 ),
inference(cnf_transformation,[],[f112]) ).
tff(f112,plain,
! [X0: $int] : ( tb2t3(t2tb3(X0)) = X0 ),
inference(rectify,[],[f62]) ).
tff(f62,axiom,
! [X17: $int] : ( tb2t3(t2tb3(X17)) = X17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL3) ).
tff(f1564,plain,
( spl44_140
| ~ spl44_81
| ~ spl44_139 ),
inference(avatar_split_clause,[],[f1560,f1557,f857,f1562]) ).
tff(f1562,plain,
( spl44_140
<=> ( set1(int,vertex,t2tb1(sK17),t2tb2(sK20),get(int,vertex,t2tb1(sK25),t2tb2(sK20))) = t2tb1(sK25) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_140])]) ).
tff(f857,plain,
( spl44_81
<=> ( t2tb1(sK25) = set1(int,vertex,t2tb1(sK17),t2tb2(sK20),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK12))),weight1(sK12,sK20)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_81])]) ).
tff(f1560,plain,
( ( set1(int,vertex,t2tb1(sK17),t2tb2(sK20),get(int,vertex,t2tb1(sK25),t2tb2(sK20))) = t2tb1(sK25) )
| ~ spl44_81
| ~ spl44_139 ),
inference(backward_demodulation,[],[f858,f1558]) ).
tff(f858,plain,
( ( t2tb1(sK25) = set1(int,vertex,t2tb1(sK17),t2tb2(sK20),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK12))),weight1(sK12,sK20)))) )
| ~ spl44_81 ),
inference(avatar_component_clause,[],[f857]) ).
tff(f1559,plain,
( spl44_139
| ~ spl44_81 ),
inference(avatar_split_clause,[],[f1555,f857,f1557]) ).
tff(f1555,plain,
( ( get(int,vertex,t2tb1(sK25),t2tb2(sK20)) = t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK12))),weight1(sK12,sK20))) )
| ~ spl44_81 ),
inference(subsumption_resolution,[],[f1542,f352]) ).
tff(f352,plain,
! [X0: $int] : sort1(int,t2tb3(X0)),
inference(cnf_transformation,[],[f107]) ).
tff(f107,plain,
! [X0: $int] : sort1(int,t2tb3(X0)),
inference(rectify,[],[f61]) ).
tff(f61,axiom,
! [X1: $int] : sort1(int,t2tb3(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort3) ).
tff(f1542,plain,
( ~ sort1(int,t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK12))),weight1(sK12,sK20))))
| ( get(int,vertex,t2tb1(sK25),t2tb2(sK20)) = t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK12))),weight1(sK12,sK20))) )
| ~ spl44_81 ),
inference(superposition,[],[f407,f858]) ).
tff(f407,plain,
! [X2: uni,X0: ty,X1: uni,X4: uni,X5: ty] :
( ( get(X0,X5,set1(X0,X5,X1,X4,X2),X4) = X2 )
| ~ sort1(X0,X2) ),
inference(equality_resolution,[],[f368]) ).
tff(f368,plain,
! [X2: uni,X3: uni,X0: ty,X1: uni,X4: uni,X5: ty] :
( ~ sort1(X0,X2)
| ( get(X0,X5,set1(X0,X5,X1,X3,X2),X4) = X2 )
| ( X3 != X4 ) ),
inference(cnf_transformation,[],[f191]) ).
tff(f191,plain,
! [X1: uni,X3: uni,X5: ty,X0: ty,X2: uni,X4: uni] :
( ( X3 != X4 )
| ( get(X0,X5,set1(X0,X5,X1,X3,X2),X4) = X2 )
| ~ sort1(X0,X2) ),
inference(flattening,[],[f190]) ).
tff(f190,plain,
! [X5: ty,X0: ty,X4: uni,X1: uni,X2: uni,X3: uni] :
( ( get(X0,X5,set1(X0,X5,X1,X3,X2),X4) = X2 )
| ( X3 != X4 )
| ~ sort1(X0,X2) ),
inference(ennf_transformation,[],[f104]) ).
tff(f104,plain,
! [X5: ty,X0: ty,X4: uni,X1: uni,X2: uni,X3: uni] :
( sort1(X0,X2)
=> ( ( X3 = X4 )
=> ( get(X0,X5,set1(X0,X5,X1,X3,X2),X4) = X2 ) ) ),
inference(rectify,[],[f46]) ).
tff(f46,axiom,
! [X12: ty,X13: uni,X16: uni,X14: uni,X15: uni,X0: ty] :
( sort1(X12,X16)
=> ( ( X14 = X15 )
=> ( get(X12,X0,set1(X12,X0,X13,X14,X16),X15) = X16 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',select_eq) ).
tff(f1434,plain,
( spl44_138
| ~ spl44_131 ),
inference(avatar_split_clause,[],[f1426,f1358,f1432]) ).
tff(f1432,plain,
( spl44_138
<=> subset(vertex,remove(vertex,t2tb2(sK20),t2tb(sK16)),add(vertex,t2tb2(sK20),t2tb(sK24))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_138])]) ).
tff(f1426,plain,
( subset(vertex,remove(vertex,t2tb2(sK20),t2tb(sK16)),add(vertex,t2tb2(sK20),t2tb(sK24)))
| ~ spl44_131 ),
inference(superposition,[],[f1356,f1359]) ).
tff(f1419,plain,
( ~ spl44_137
| spl44_1
| ~ spl44_133 ),
inference(avatar_split_clause,[],[f1415,f1369,f411,f1417]) ).
tff(f1417,plain,
( spl44_137
<=> mem(vertex,t2tb2(sK29),remove(vertex,t2tb2(sK20),t2tb(sK16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_137])]) ).
tff(f1369,plain,
( spl44_133
<=> subset(vertex,remove(vertex,t2tb2(sK20),t2tb(sK16)),t2tb(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_133])]) ).
tff(f1415,plain,
( ~ mem(vertex,t2tb2(sK29),remove(vertex,t2tb2(sK20),t2tb(sK16)))
| spl44_1
| ~ spl44_133 ),
inference(resolution,[],[f1385,f412]) ).
tff(f1385,plain,
( ! [X24: uni] :
( mem(vertex,X24,t2tb(sK24))
| ~ mem(vertex,X24,remove(vertex,t2tb2(sK20),t2tb(sK16))) )
| ~ spl44_133 ),
inference(resolution,[],[f363,f1370]) ).
tff(f1370,plain,
( subset(vertex,remove(vertex,t2tb2(sK20),t2tb(sK16)),t2tb(sK24))
| ~ spl44_133 ),
inference(avatar_component_clause,[],[f1369]) ).
tff(f1406,plain,
( spl44_136
| ~ spl44_135 ),
inference(avatar_split_clause,[],[f1401,f1397,f1404]) ).
tff(f1401,plain,
( ( 0 = cardinal1(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15))) )
| ~ spl44_135 ),
inference(resolution,[],[f1398,f351]) ).
tff(f1398,plain,
( is_empty(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15)))
| ~ spl44_135 ),
inference(avatar_component_clause,[],[f1397]) ).
tff(f1400,plain,
( spl44_135
| ~ spl44_78
| ~ spl44_134 ),
inference(avatar_split_clause,[],[f1394,f1376,f843,f1397]) ).
tff(f1376,plain,
( spl44_134
<=> subset(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15)),t2tb(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_134])]) ).
tff(f1394,plain,
( is_empty(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15)))
| ~ spl44_78
| ~ spl44_134 ),
inference(resolution,[],[f1393,f401]) ).
tff(f1393,plain,
( ! [X0: uni] : ~ mem(vertex,X0,remove(vertex,t2tb2(sK12),t2tb(sK15)))
| ~ spl44_78
| ~ spl44_134 ),
inference(subsumption_resolution,[],[f1392,f1071]) ).
tff(f1392,plain,
( ! [X0: uni] :
( ~ mem(vertex,X0,remove(vertex,t2tb2(sK12),t2tb(sK15)))
| mem(vertex,X0,t2tb(sK8)) )
| ~ spl44_134 ),
inference(resolution,[],[f1377,f363]) ).
tff(f1377,plain,
( subset(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15)),t2tb(sK8))
| ~ spl44_134 ),
inference(avatar_component_clause,[],[f1376]) ).
tff(f1399,plain,
( spl44_135
| ~ spl44_78
| ~ spl44_134 ),
inference(avatar_split_clause,[],[f1395,f1376,f843,f1397]) ).
tff(f1395,plain,
( is_empty(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15)))
| ~ spl44_78
| ~ spl44_134 ),
inference(resolution,[],[f1393,f332]) ).
tff(f1378,plain,
( spl44_134
| ~ spl44_132 ),
inference(avatar_split_clause,[],[f1374,f1362,f1376]) ).
tff(f1374,plain,
( subset(vertex,remove(vertex,t2tb2(sK12),t2tb(sK15)),t2tb(sK8))
| ~ spl44_132 ),
inference(superposition,[],[f386,f1363]) ).
tff(f1371,plain,
( spl44_133
| ~ spl44_131 ),
inference(avatar_split_clause,[],[f1367,f1358,f1369]) ).
tff(f1367,plain,
( subset(vertex,remove(vertex,t2tb2(sK20),t2tb(sK16)),t2tb(sK24))
| ~ spl44_131 ),
inference(superposition,[],[f386,f1359]) ).
tff(f1364,plain,
( spl44_132
| ~ spl44_70 ),
inference(avatar_split_clause,[],[f1352,f753,f1362]) ).
tff(f1352,plain,
( ( remove(vertex,t2tb2(sK12),t2tb(sK15)) = remove(vertex,t2tb2(sK12),t2tb(sK8)) )
| ~ spl44_70 ),
inference(superposition,[],[f330,f754]) ).
tff(f1360,plain,
( spl44_131
| ~ spl44_71 ),
inference(avatar_split_clause,[],[f1353,f758,f1358]) ).
tff(f1353,plain,
( ( remove(vertex,t2tb2(sK20),t2tb(sK16)) = remove(vertex,t2tb2(sK20),t2tb(sK24)) )
| ~ spl44_71 ),
inference(superposition,[],[f330,f759]) ).
tff(f1294,plain,
( ~ spl44_119
| ~ spl44_118 ),
inference(avatar_split_clause,[],[f1289,f1194,f1197]) ).
tff(f1197,plain,
( spl44_119
<=> mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15)))))),t2tb(sK15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_119])]) ).
tff(f1194,plain,
( spl44_118
<=> mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15)))))),t2tb(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_118])]) ).
tff(f1289,plain,
( ~ mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15)))))),t2tb(sK15))
| ~ spl44_118 ),
inference(resolution,[],[f1195,f805]) ).
tff(f805,plain,
! [X2: uni] :
( ~ mem(vertex,choose(vertex,X2),t2tb(sK16))
| ~ mem(vertex,choose(vertex,X2),t2tb(sK15)) ),
inference(superposition,[],[f257,f684]) ).
tff(f1195,plain,
( mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15)))))),t2tb(sK16))
| ~ spl44_118 ),
inference(avatar_component_clause,[],[f1194]) ).
tff(f1293,plain,
( ~ spl44_119
| ~ spl44_118 ),
inference(avatar_split_clause,[],[f1291,f1194,f1197]) ).
tff(f1291,plain,
( ~ mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15)))))),t2tb(sK15))
| ~ spl44_118 ),
inference(subsumption_resolution,[],[f1290,f394]) ).
tff(f1290,plain,
( ~ mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15)))))),t2tb(sK15))
| ~ sort1(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15)))))))
| ~ spl44_118 ),
inference(resolution,[],[f1195,f890]) ).
tff(f1288,plain,
( ~ spl44_115
| ~ spl44_130
| ~ spl44_117 ),
inference(avatar_split_clause,[],[f1283,f1189,f1286,f1183]) ).
tff(f1183,plain,
( spl44_115
<=> mem(vertex,sK38(t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15))))),vertex),t2tb(sK15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_115])]) ).
tff(f1286,plain,
( spl44_130
<=> sort1(vertex,sK38(t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15))))),vertex)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_130])]) ).
tff(f1189,plain,
( spl44_117
<=> mem(vertex,sK38(t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15))))),vertex),t2tb(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_117])]) ).
tff(f1283,plain,
( ~ sort1(vertex,sK38(t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15))))),vertex))
| ~ mem(vertex,sK38(t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15))))),vertex),t2tb(sK15))
| ~ spl44_117 ),
inference(resolution,[],[f1190,f890]) ).
tff(f1190,plain,
( mem(vertex,sK38(t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15))))),vertex),t2tb(sK16))
| ~ spl44_117 ),
inference(avatar_component_clause,[],[f1189]) ).
tff(f1278,plain,
( ~ spl44_33
| ~ spl44_111 ),
inference(avatar_contradiction_clause,[],[f1275]) ).
tff(f1275,plain,
( $false
| ~ spl44_33
| ~ spl44_111 ),
inference(subsumption_resolution,[],[f990,f1255]) ).
tff(f1255,plain,
( ! [X0: uni] : ~ mem(vertex,X0,t2tb(sK15))
| ~ spl44_111 ),
inference(resolution,[],[f1161,f334]) ).
tff(f1161,plain,
( is_empty(vertex,t2tb(sK15))
| ~ spl44_111 ),
inference(avatar_component_clause,[],[f1160]) ).
tff(f1160,plain,
( spl44_111
<=> is_empty(vertex,t2tb(sK15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_111])]) ).
tff(f990,plain,
( mem(vertex,t2tb2(sK12),t2tb(sK15))
| ~ spl44_33 ),
inference(avatar_component_clause,[],[f539]) ).
tff(f539,plain,
( spl44_33
<=> mem(vertex,t2tb2(sK12),t2tb(sK15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_33])]) ).
tff(f1277,plain,
( ~ spl44_26
| ~ spl44_111 ),
inference(avatar_contradiction_clause,[],[f1276]) ).
tff(f1276,plain,
( $false
| ~ spl44_26
| ~ spl44_111 ),
inference(subsumption_resolution,[],[f509,f1255]) ).
tff(f1259,plain,
( spl44_129
| ~ spl44_111 ),
inference(avatar_split_clause,[],[f1254,f1160,f1257]) ).
tff(f1257,plain,
( spl44_129
<=> ( 0 = cardinal1(vertex,t2tb(sK15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_129])]) ).
tff(f1254,plain,
( ( 0 = cardinal1(vertex,t2tb(sK15)) )
| ~ spl44_111 ),
inference(resolution,[],[f1161,f351]) ).
tff(f1253,plain,
( ~ spl44_122
| spl44_123
| ~ spl44_112 ),
inference(avatar_split_clause,[],[f1205,f1163,f1227,f1224]) ).
tff(f1224,plain,
( spl44_122
<=> mem(vertex,choose(vertex,t2tb(sK15)),t2tb(sK15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_122])]) ).
tff(f1227,plain,
( spl44_123
<=> shortest_path1(sK0,sK12,tb2t3(get(int,vertex,t2tb1(sK17),choose(vertex,t2tb(sK15))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_123])]) ).
tff(f1163,plain,
( spl44_112
<=> ( tb2t2(choose(vertex,t2tb(sK15))) = sK12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_112])]) ).
tff(f1205,plain,
( shortest_path1(sK0,sK12,tb2t3(get(int,vertex,t2tb1(sK17),choose(vertex,t2tb(sK15)))))
| ~ mem(vertex,choose(vertex,t2tb(sK15)),t2tb(sK15))
| ~ spl44_112 ),
inference(superposition,[],[f807,f1164]) ).
tff(f1164,plain,
( ( tb2t2(choose(vertex,t2tb(sK15))) = sK12 )
| ~ spl44_112 ),
inference(avatar_component_clause,[],[f1163]) ).
tff(f1252,plain,
( ~ spl44_127
| ~ spl44_128
| ~ spl44_26
| spl44_40
| ~ spl44_112 ),
inference(avatar_split_clause,[],[f1201,f1163,f568,f508,f1248,f1245]) ).
tff(f1245,plain,
( spl44_127
<=> mem(vertex,choose(vertex,t2tb(sK15)),t2tb(g_succ1(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_127])]) ).
tff(f1248,plain,
( spl44_128
<=> $less($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK26))),weight1(sK26,sK12)),tb2t3(get(int,vertex,t2tb1(sK17),choose(vertex,t2tb(sK15))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_128])]) ).
tff(f1201,plain,
( ~ $less($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK26))),weight1(sK26,sK12)),tb2t3(get(int,vertex,t2tb1(sK17),choose(vertex,t2tb(sK15)))))
| ~ mem(vertex,choose(vertex,t2tb(sK15)),t2tb(g_succ1(sK26)))
| ~ spl44_26
| spl44_40
| ~ spl44_112 ),
inference(superposition,[],[f1092,f1164]) ).
tff(f1251,plain,
( spl44_120
| ~ spl44_121
| ~ spl44_112 ),
inference(avatar_split_clause,[],[f1204,f1163,f1219,f1216]) ).
tff(f1216,plain,
( spl44_120
<=> path1(sK0,sK12,tb2t3(get(int,vertex,t2tb1(sK17),choose(vertex,t2tb(sK15))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_120])]) ).
tff(f1219,plain,
( spl44_121
<=> mem(vertex,choose(vertex,t2tb(sK15)),t2tb(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_121])]) ).
tff(f1204,plain,
( ~ mem(vertex,choose(vertex,t2tb(sK15)),t2tb(sK16))
| path1(sK0,sK12,tb2t3(get(int,vertex,t2tb1(sK17),choose(vertex,t2tb(sK15)))))
| ~ spl44_112 ),
inference(superposition,[],[f808,f1164]) ).
tff(f1250,plain,
( ~ spl44_127
| ~ spl44_128
| ~ spl44_26
| spl44_40
| ~ spl44_112 ),
inference(avatar_split_clause,[],[f1243,f1163,f568,f508,f1248,f1245]) ).
tff(f1243,plain,
( ~ $less($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK26))),weight1(sK26,sK12)),tb2t3(get(int,vertex,t2tb1(sK17),choose(vertex,t2tb(sK15)))))
| ~ mem(vertex,choose(vertex,t2tb(sK15)),t2tb(g_succ1(sK26)))
| ~ spl44_26
| spl44_40
| ~ spl44_112 ),
inference(subsumption_resolution,[],[f1211,f394]) ).
tff(f1211,plain,
( ~ mem(vertex,choose(vertex,t2tb(sK15)),t2tb(g_succ1(sK26)))
| ~ sort1(vertex,choose(vertex,t2tb(sK15)))
| ~ $less($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK26))),weight1(sK26,sK12)),tb2t3(get(int,vertex,t2tb1(sK17),choose(vertex,t2tb(sK15)))))
| ~ spl44_26
| spl44_40
| ~ spl44_112 ),
inference(superposition,[],[f1144,f1164]) ).
tff(f1242,plain,
( ~ spl44_124
| spl44_125
| ~ spl44_112 ),
inference(avatar_split_clause,[],[f1241,f1163,f1234,f1231]) ).
tff(f1231,plain,
( spl44_124
<=> mem(vertex,choose(vertex,t2tb(sK15)),t2tb(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_124])]) ).
tff(f1234,plain,
( spl44_125
<=> path1(sK0,sK12,tb2t3(get(int,vertex,t2tb1(sK7),choose(vertex,t2tb(sK15))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_125])]) ).
tff(f1241,plain,
( path1(sK0,sK12,tb2t3(get(int,vertex,t2tb1(sK7),choose(vertex,t2tb(sK15)))))
| ~ mem(vertex,choose(vertex,t2tb(sK15)),t2tb(sK6))
| ~ spl44_112 ),
inference(subsumption_resolution,[],[f1209,f394]) ).
tff(f1209,plain,
( path1(sK0,sK12,tb2t3(get(int,vertex,t2tb1(sK7),choose(vertex,t2tb(sK15)))))
| ~ mem(vertex,choose(vertex,t2tb(sK15)),t2tb(sK6))
| ~ sort1(vertex,choose(vertex,t2tb(sK15)))
| ~ spl44_112 ),
inference(superposition,[],[f897,f1164]) ).
tff(f897,plain,
! [X11: uni] :
( path1(sK0,tb2t2(X11),tb2t3(get(int,vertex,t2tb1(sK7),X11)))
| ~ mem(vertex,X11,t2tb(sK6))
| ~ sort1(vertex,X11) ),
inference(superposition,[],[f778,f342]) ).
tff(f778,plain,
! [X8: uni] :
( path1(sK0,tb2t2(contents(vertex,X8)),tb2t3(get(int,vertex,t2tb1(sK7),contents(vertex,X8))))
| ~ mem(vertex,contents(vertex,X8),t2tb(sK6)) ),
inference(superposition,[],[f282,f683]) ).
tff(f1240,plain,
( spl44_126
| ~ spl44_112 ),
inference(avatar_split_clause,[],[f1206,f1163,f1238]) ).
tff(f1238,plain,
( spl44_126
<=> ( t2tb2(sK12) = choose(vertex,t2tb(sK15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_126])]) ).
tff(f1206,plain,
( ( t2tb2(sK12) = choose(vertex,t2tb(sK15)) )
| ~ spl44_112 ),
inference(superposition,[],[f684,f1164]) ).
tff(f1236,plain,
( ~ spl44_124
| spl44_125
| ~ spl44_112 ),
inference(avatar_split_clause,[],[f1203,f1163,f1234,f1231]) ).
tff(f1203,plain,
( path1(sK0,sK12,tb2t3(get(int,vertex,t2tb1(sK7),choose(vertex,t2tb(sK15)))))
| ~ mem(vertex,choose(vertex,t2tb(sK15)),t2tb(sK6))
| ~ spl44_112 ),
inference(superposition,[],[f812,f1164]) ).
tff(f812,plain,
! [X10: uni] :
( path1(sK0,tb2t2(choose(vertex,X10)),tb2t3(get(int,vertex,t2tb1(sK7),choose(vertex,X10))))
| ~ mem(vertex,choose(vertex,X10),t2tb(sK6)) ),
inference(superposition,[],[f282,f684]) ).
tff(f1229,plain,
( ~ spl44_122
| spl44_123
| ~ spl44_112 ),
inference(avatar_split_clause,[],[f1222,f1163,f1227,f1224]) ).
tff(f1222,plain,
( shortest_path1(sK0,sK12,tb2t3(get(int,vertex,t2tb1(sK17),choose(vertex,t2tb(sK15)))))
| ~ mem(vertex,choose(vertex,t2tb(sK15)),t2tb(sK15))
| ~ spl44_112 ),
inference(subsumption_resolution,[],[f1207,f394]) ).
tff(f1207,plain,
( shortest_path1(sK0,sK12,tb2t3(get(int,vertex,t2tb1(sK17),choose(vertex,t2tb(sK15)))))
| ~ mem(vertex,choose(vertex,t2tb(sK15)),t2tb(sK15))
| ~ sort1(vertex,choose(vertex,t2tb(sK15)))
| ~ spl44_112 ),
inference(superposition,[],[f892,f1164]) ).
tff(f1221,plain,
( spl44_120
| ~ spl44_121
| ~ spl44_112 ),
inference(avatar_split_clause,[],[f1214,f1163,f1219,f1216]) ).
tff(f1214,plain,
( ~ mem(vertex,choose(vertex,t2tb(sK15)),t2tb(sK16))
| path1(sK0,sK12,tb2t3(get(int,vertex,t2tb1(sK17),choose(vertex,t2tb(sK15)))))
| ~ spl44_112 ),
inference(subsumption_resolution,[],[f1208,f394]) ).
tff(f1208,plain,
( ~ sort1(vertex,choose(vertex,t2tb(sK15)))
| path1(sK0,sK12,tb2t3(get(int,vertex,t2tb1(sK17),choose(vertex,t2tb(sK15)))))
| ~ mem(vertex,choose(vertex,t2tb(sK15)),t2tb(sK16))
| ~ spl44_112 ),
inference(superposition,[],[f893,f1164]) ).
tff(f1199,plain,
( spl44_118
| spl44_116
| spl44_119
| ~ spl44_113 ),
inference(avatar_split_clause,[],[f1192,f1166,f1197,f1186,f1194]) ).
tff(f1186,plain,
( spl44_116
<=> is_empty(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_116])]) ).
tff(f1192,plain,
( mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15)))))),t2tb(sK15))
| is_empty(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15))))))
| mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15)))))),t2tb(sK16))
| ~ spl44_113 ),
inference(subsumption_resolution,[],[f1179,f394]) ).
tff(f1179,plain,
( mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15)))))),t2tb(sK15))
| is_empty(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15))))))
| ~ sort1(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15)))))))
| mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15)))))),t2tb(sK16))
| ~ spl44_113 ),
inference(resolution,[],[f1178,f401]) ).
tff(f1178,plain,
( ! [X0: uni] :
( ~ mem(vertex,X0,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15))))))
| mem(vertex,X0,t2tb(sK15))
| ~ sort1(vertex,X0)
| mem(vertex,X0,t2tb(sK16)) )
| ~ spl44_113 ),
inference(superposition,[],[f1170,f342]) ).
tff(f1170,plain,
( ! [X0: uni] :
( ~ mem(vertex,contents(vertex,X0),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15))))))
| mem(vertex,contents(vertex,X0),t2tb(sK15))
| mem(vertex,contents(vertex,X0),t2tb(sK16)) )
| ~ spl44_113 ),
inference(superposition,[],[f1167,f683]) ).
tff(f1191,plain,
( spl44_115
| spl44_116
| spl44_117
| ~ spl44_113 ),
inference(avatar_split_clause,[],[f1181,f1166,f1189,f1186,f1183]) ).
tff(f1181,plain,
( mem(vertex,sK38(t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15))))),vertex),t2tb(sK16))
| is_empty(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15))))))
| mem(vertex,sK38(t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15))))),vertex),t2tb(sK15))
| ~ spl44_113 ),
inference(subsumption_resolution,[],[f1180,f333]) ).
tff(f1180,plain,
( mem(vertex,sK38(t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15))))),vertex),t2tb(sK16))
| mem(vertex,sK38(t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15))))),vertex),t2tb(sK15))
| is_empty(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15))))))
| ~ sort1(vertex,sK38(t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15))))),vertex))
| ~ spl44_113 ),
inference(resolution,[],[f1178,f332]) ).
tff(f1177,plain,
( ~ spl44_114
| ~ spl44_57
| spl44_62
| spl44_65
| ~ spl44_113 ),
inference(avatar_split_clause,[],[f1173,f1166,f728,f716,f688,f1175]) ).
tff(f1175,plain,
( spl44_114
<=> mem(vertex,witness1(vertex),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_114])]) ).
tff(f688,plain,
( spl44_57
<=> ( witness1(vertex) = t2tb2(tb2t2(witness1(vertex))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_57])]) ).
tff(f716,plain,
( spl44_62
<=> mem(vertex,witness1(vertex),t2tb(sK15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_62])]) ).
tff(f728,plain,
( spl44_65
<=> mem(vertex,witness1(vertex),t2tb(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_65])]) ).
tff(f1173,plain,
( ~ mem(vertex,witness1(vertex),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15))))))
| ~ spl44_57
| spl44_62
| spl44_65
| ~ spl44_113 ),
inference(subsumption_resolution,[],[f1172,f729]) ).
tff(f729,plain,
( ~ mem(vertex,witness1(vertex),t2tb(sK16))
| spl44_65 ),
inference(avatar_component_clause,[],[f728]) ).
tff(f1172,plain,
( mem(vertex,witness1(vertex),t2tb(sK16))
| ~ mem(vertex,witness1(vertex),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15))))))
| ~ spl44_57
| spl44_62
| ~ spl44_113 ),
inference(subsumption_resolution,[],[f1169,f717]) ).
tff(f717,plain,
( ~ mem(vertex,witness1(vertex),t2tb(sK15))
| spl44_62 ),
inference(avatar_component_clause,[],[f716]) ).
tff(f1169,plain,
( mem(vertex,witness1(vertex),t2tb(sK15))
| ~ mem(vertex,witness1(vertex),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15))))))
| mem(vertex,witness1(vertex),t2tb(sK16))
| ~ spl44_57
| ~ spl44_113 ),
inference(superposition,[],[f1167,f689]) ).
tff(f689,plain,
( ( witness1(vertex) = t2tb2(tb2t2(witness1(vertex))) )
| ~ spl44_57 ),
inference(avatar_component_clause,[],[f688]) ).
tff(f1168,plain,
( spl44_111
| spl44_112
| spl44_113 ),
inference(avatar_split_clause,[],[f1158,f1166,f1163,f1160]) ).
tff(f1158,plain,
! [X0: vertex1] :
( mem(vertex,t2tb2(X0),t2tb(sK16))
| ( tb2t2(choose(vertex,t2tb(sK15))) = sK12 )
| ~ mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK15))))))
| is_empty(vertex,t2tb(sK15))
| mem(vertex,t2tb2(X0),t2tb(sK15)) ),
inference(resolution,[],[f804,f401]) ).
tff(f1119,plain,
( spl44_99
| ~ spl44_33 ),
inference(avatar_split_clause,[],[f1118,f539,f987]) ).
tff(f987,plain,
( spl44_99
<=> shortest_path1(sK0,sK12,tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK12)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_99])]) ).
tff(f1118,plain,
( shortest_path1(sK0,sK12,tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK12))))
| ~ spl44_33 ),
inference(resolution,[],[f990,f261]) ).
tff(f1115,plain,
( spl44_17
| ~ spl44_71 ),
inference(avatar_split_clause,[],[f1114,f758,f471]) ).
tff(f1114,plain,
( mem(vertex,t2tb2(sK20),t2tb(sK24))
| ~ spl44_71 ),
inference(subsumption_resolution,[],[f1111,f384]) ).
tff(f1111,plain,
( ~ sort1(vertex,t2tb2(sK20))
| mem(vertex,t2tb2(sK20),t2tb(sK24))
| ~ spl44_71 ),
inference(superposition,[],[f408,f759]) ).
tff(f408,plain,
! [X2: uni,X3: uni,X1: ty] :
( mem(X1,X2,add(X1,X2,X3))
| ~ sort1(X1,X2) ),
inference(duplicate_literal_removal,[],[f405]) ).
tff(f405,plain,
! [X2: uni,X3: uni,X1: ty] :
( mem(X1,X2,add(X1,X2,X3))
| ~ sort1(X1,X2)
| ~ sort1(X1,X2) ),
inference(equality_resolution,[],[f297]) ).
tff(f297,plain,
! [X2: uni,X3: uni,X0: uni,X1: ty] :
( ~ sort1(X1,X0)
| ( X0 != X2 )
| mem(X1,X0,add(X1,X2,X3))
| ~ sort1(X1,X2) ),
inference(cnf_transformation,[],[f208]) ).
tff(f1113,plain,
( spl44_33
| ~ spl44_70 ),
inference(avatar_split_clause,[],[f1112,f753,f539]) ).
tff(f1112,plain,
( mem(vertex,t2tb2(sK12),t2tb(sK15))
| ~ spl44_70 ),
inference(subsumption_resolution,[],[f1110,f384]) ).
tff(f1110,plain,
( mem(vertex,t2tb2(sK12),t2tb(sK15))
| ~ sort1(vertex,t2tb2(sK12))
| ~ spl44_70 ),
inference(superposition,[],[f408,f754]) ).
tff(f1100,plain,
( ~ spl44_109
| ~ spl44_110
| ~ spl44_19
| ~ spl44_26
| spl44_40 ),
inference(avatar_split_clause,[],[f1093,f568,f508,f478,f1098,f1095]) ).
tff(f1098,plain,
( spl44_110
<=> $less($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK26))),weight1(sK26,sK0)),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_110])]) ).
tff(f1093,plain,
( ~ $less($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK26))),weight1(sK26,sK0)),0)
| ~ mem(vertex,t2tb2(sK0),t2tb(g_succ1(sK26)))
| ~ spl44_19
| ~ spl44_26
| spl44_40 ),
inference(superposition,[],[f1035,f479]) ).
tff(f1083,plain,
( spl44_108
| ~ spl44_78 ),
inference(avatar_split_clause,[],[f1070,f843,f1081]) ).
tff(f1070,plain,
( ( 0 = cardinal1(vertex,t2tb(sK8)) )
| ~ spl44_78 ),
inference(resolution,[],[f844,f351]) ).
tff(f1069,plain,
( spl44_106
| spl44_105
| spl44_107
| ~ spl44_82 ),
inference(avatar_split_clause,[],[f1062,f863,f1067,f1059,f1064]) ).
tff(f1067,plain,
( spl44_107
<=> mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8)))))),t2tb(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_107])]) ).
tff(f863,plain,
( spl44_82
<=> ! [X0: vertex1] :
( mem(vertex,t2tb2(X0),t2tb(sK6))
| ~ mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))))
| mem(vertex,t2tb2(X0),t2tb(sK8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_82])]) ).
tff(f1062,plain,
( mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8)))))),t2tb(sK8))
| is_empty(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))))
| mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8)))))),t2tb(sK6))
| ~ spl44_82 ),
inference(subsumption_resolution,[],[f1049,f394]) ).
tff(f1049,plain,
( mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8)))))),t2tb(sK6))
| is_empty(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))))
| ~ sort1(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8)))))))
| mem(vertex,choose(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8)))))),t2tb(sK8))
| ~ spl44_82 ),
inference(resolution,[],[f901,f401]) ).
tff(f901,plain,
( ! [X15: uni] :
( ~ mem(vertex,X15,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))))
| ~ sort1(vertex,X15)
| mem(vertex,X15,t2tb(sK6))
| mem(vertex,X15,t2tb(sK8)) )
| ~ spl44_82 ),
inference(superposition,[],[f867,f342]) ).
tff(f867,plain,
( ! [X0: uni] :
( mem(vertex,contents(vertex,X0),t2tb(sK6))
| ~ mem(vertex,contents(vertex,X0),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))))
| mem(vertex,contents(vertex,X0),t2tb(sK8)) )
| ~ spl44_82 ),
inference(superposition,[],[f864,f683]) ).
tff(f864,plain,
( ! [X0: vertex1] :
( ~ mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))))
| mem(vertex,t2tb2(X0),t2tb(sK8))
| mem(vertex,t2tb2(X0),t2tb(sK6)) )
| ~ spl44_82 ),
inference(avatar_component_clause,[],[f863]) ).
tff(f1061,plain,
( spl44_103
| spl44_104
| spl44_105
| ~ spl44_82 ),
inference(avatar_split_clause,[],[f1051,f863,f1059,f1056,f1053]) ).
tff(f1051,plain,
( is_empty(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))))
| mem(vertex,sK38(t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))),vertex),t2tb(sK8))
| mem(vertex,sK38(t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))),vertex),t2tb(sK6))
| ~ spl44_82 ),
inference(subsumption_resolution,[],[f1050,f333]) ).
tff(f1050,plain,
( mem(vertex,sK38(t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))),vertex),t2tb(sK6))
| mem(vertex,sK38(t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))),vertex),t2tb(sK8))
| ~ sort1(vertex,sK38(t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))),vertex))
| is_empty(vertex,t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))))
| ~ spl44_82 ),
inference(resolution,[],[f901,f332]) ).
tff(f1026,plain,
( ~ spl44_66
| ~ spl44_34
| ~ spl44_57
| spl44_62
| spl44_65
| spl44_67 ),
inference(avatar_split_clause,[],[f1025,f735,f728,f716,f688,f542,f732]) ).
tff(f732,plain,
( spl44_66
<=> mem(vertex,witness1(vertex),t2tb(g_succ1(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_66])]) ).
tff(f735,plain,
( spl44_67
<=> mem(vertex,witness1(vertex),t2tb(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_67])]) ).
tff(f1025,plain,
( ~ mem(vertex,witness1(vertex),t2tb(g_succ1(sK12)))
| ~ spl44_34
| ~ spl44_57
| spl44_62
| spl44_65
| spl44_67 ),
inference(subsumption_resolution,[],[f1024,f717]) ).
tff(f1024,plain,
( ~ mem(vertex,witness1(vertex),t2tb(g_succ1(sK12)))
| mem(vertex,witness1(vertex),t2tb(sK15))
| ~ spl44_34
| ~ spl44_57
| spl44_65
| spl44_67 ),
inference(subsumption_resolution,[],[f1023,f729]) ).
tff(f1023,plain,
( mem(vertex,witness1(vertex),t2tb(sK16))
| mem(vertex,witness1(vertex),t2tb(sK15))
| ~ mem(vertex,witness1(vertex),t2tb(g_succ1(sK12)))
| ~ spl44_34
| ~ spl44_57
| spl44_67 ),
inference(subsumption_resolution,[],[f1020,f736]) ).
tff(f736,plain,
( ~ mem(vertex,witness1(vertex),t2tb(sK18))
| spl44_67 ),
inference(avatar_component_clause,[],[f735]) ).
tff(f1020,plain,
( ~ mem(vertex,witness1(vertex),t2tb(g_succ1(sK12)))
| mem(vertex,witness1(vertex),t2tb(sK18))
| mem(vertex,witness1(vertex),t2tb(sK15))
| mem(vertex,witness1(vertex),t2tb(sK16))
| ~ spl44_34
| ~ spl44_57 ),
inference(superposition,[],[f543,f689]) ).
tff(f1019,plain,
( ~ spl44_102
| spl44_96 ),
inference(avatar_split_clause,[],[f1015,f968,f1017]) ).
tff(f968,plain,
( spl44_96
<=> mem(vertex,t2tb2(sK29),t2tb(tb2t(remove(vertex,t2tb2(sK20),t2tb(sK18))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_96])]) ).
tff(f1015,plain,
( ~ mem(vertex,t2tb2(sK29),remove(vertex,t2tb2(sK20),t2tb(sK18)))
| spl44_96 ),
inference(subsumption_resolution,[],[f1014,f396]) ).
tff(f396,plain,
! [X2: ty,X0: uni,X1: uni] : sort1(set(X2),remove(X2,X0,X1)),
inference(cnf_transformation,[],[f92]) ).
tff(f92,plain,
! [X0: uni,X2: ty,X1: uni] : sort1(set(X2),remove(X2,X0,X1)),
inference(rectify,[],[f24]) ).
tff(f24,axiom,
! [X1: uni,X2: uni,X0: ty] : sort1(set(X0),remove(X0,X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',remove_sort1) ).
tff(f1014,plain,
( ~ mem(vertex,t2tb2(sK29),remove(vertex,t2tb2(sK20),t2tb(sK18)))
| ~ sort1(set(vertex),remove(vertex,t2tb2(sK20),t2tb(sK18)))
| spl44_96 ),
inference(superposition,[],[f969,f369]) ).
tff(f369,plain,
! [X0: uni] :
( ( t2tb(tb2t(X0)) = X0 )
| ~ sort1(set(vertex),X0) ),
inference(cnf_transformation,[],[f173]) ).
tff(f173,plain,
! [X0: uni] :
( ~ sort1(set(vertex),X0)
| ( t2tb(tb2t(X0)) = X0 ) ),
inference(ennf_transformation,[],[f100]) ).
tff(f100,plain,
! [X0: uni] :
( sort1(set(vertex),X0)
=> ( t2tb(tb2t(X0)) = X0 ) ),
inference(rectify,[],[f52]) ).
tff(f52,axiom,
! [X18: uni] :
( sort1(set(vertex),X18)
=> ( t2tb(tb2t(X18)) = X18 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR) ).
tff(f969,plain,
( ~ mem(vertex,t2tb2(sK29),t2tb(tb2t(remove(vertex,t2tb2(sK20),t2tb(sK18)))))
| spl44_96 ),
inference(avatar_component_clause,[],[f968]) ).
tff(f1013,plain,
( ~ spl44_95
| ~ spl44_94 ),
inference(avatar_split_clause,[],[f1008,f960,f963]) ).
tff(f1008,plain,
( ~ mem(vertex,choose(vertex,t2tb(g_succ1(sK26))),t2tb(sK15))
| ~ spl44_94 ),
inference(resolution,[],[f961,f805]) ).
tff(f1012,plain,
( ~ spl44_95
| ~ spl44_94 ),
inference(avatar_split_clause,[],[f1010,f960,f963]) ).
tff(f1010,plain,
( ~ mem(vertex,choose(vertex,t2tb(g_succ1(sK26))),t2tb(sK15))
| ~ spl44_94 ),
inference(subsumption_resolution,[],[f1009,f394]) ).
tff(f1009,plain,
( ~ mem(vertex,choose(vertex,t2tb(g_succ1(sK26))),t2tb(sK15))
| ~ sort1(vertex,choose(vertex,t2tb(g_succ1(sK26))))
| ~ spl44_94 ),
inference(resolution,[],[f961,f890]) ).
tff(f1007,plain,
( ~ spl44_101
| ~ spl44_91
| ~ spl44_92 ),
inference(avatar_split_clause,[],[f1002,f952,f949,f1004]) ).
tff(f1004,plain,
( spl44_101
<=> sort1(vertex,sK38(t2tb(g_succ1(sK26)),vertex)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_101])]) ).
tff(f1002,plain,
( ~ mem(vertex,sK38(t2tb(g_succ1(sK26)),vertex),t2tb(sK15))
| ~ sort1(vertex,sK38(t2tb(g_succ1(sK26)),vertex))
| ~ spl44_92 ),
inference(resolution,[],[f953,f890]) ).
tff(f999,plain,
( ~ spl44_3
| ~ spl44_93 ),
inference(avatar_contradiction_clause,[],[f998]) ).
tff(f998,plain,
( $false
| ~ spl44_3
| ~ spl44_93 ),
inference(subsumption_resolution,[],[f420,f993]) ).
tff(f993,plain,
( ! [X0: uni] : ~ mem(vertex,X0,t2tb(g_succ1(sK26)))
| ~ spl44_93 ),
inference(resolution,[],[f956,f334]) ).
tff(f956,plain,
( is_empty(vertex,t2tb(g_succ1(sK26)))
| ~ spl44_93 ),
inference(avatar_component_clause,[],[f955]) ).
tff(f955,plain,
( spl44_93
<=> is_empty(vertex,t2tb(g_succ1(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_93])]) ).
tff(f420,plain,
( mem(vertex,t2tb2(sK29),t2tb(g_succ1(sK26)))
| ~ spl44_3 ),
inference(avatar_component_clause,[],[f419]) ).
tff(f419,plain,
( spl44_3
<=> mem(vertex,t2tb2(sK29),t2tb(g_succ1(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_3])]) ).
tff(f997,plain,
( spl44_100
| ~ spl44_93 ),
inference(avatar_split_clause,[],[f992,f955,f995]) ).
tff(f995,plain,
( spl44_100
<=> ( 0 = cardinal1(vertex,t2tb(g_succ1(sK26))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_100])]) ).
tff(f992,plain,
( ( 0 = cardinal1(vertex,t2tb(g_succ1(sK26))) )
| ~ spl44_93 ),
inference(resolution,[],[f956,f351]) ).
tff(f991,plain,
( spl44_33
| ~ spl44_26
| ~ spl44_40 ),
inference(avatar_split_clause,[],[f977,f568,f508,f539]) ).
tff(f977,plain,
( mem(vertex,t2tb2(sK12),t2tb(sK15))
| ~ spl44_26
| ~ spl44_40 ),
inference(backward_demodulation,[],[f509,f974]) ).
tff(f989,plain,
( spl44_99
| ~ spl44_40
| ~ spl44_54 ),
inference(avatar_split_clause,[],[f978,f656,f568,f987]) ).
tff(f656,plain,
( spl44_54
<=> shortest_path1(sK0,sK26,tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK26)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_54])]) ).
tff(f978,plain,
( shortest_path1(sK0,sK12,tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK12))))
| ~ spl44_40
| ~ spl44_54 ),
inference(backward_demodulation,[],[f657,f974]) ).
tff(f657,plain,
( shortest_path1(sK0,sK26,tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK26))))
| ~ spl44_54 ),
inference(avatar_component_clause,[],[f656]) ).
tff(f985,plain,
( ~ spl44_66
| ~ spl44_40
| spl44_72 ),
inference(avatar_split_clause,[],[f979,f795,f568,f732]) ).
tff(f795,plain,
( spl44_72
<=> mem(vertex,witness1(vertex),t2tb(g_succ1(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_72])]) ).
tff(f979,plain,
( ~ mem(vertex,witness1(vertex),t2tb(g_succ1(sK12)))
| ~ spl44_40
| spl44_72 ),
inference(backward_demodulation,[],[f796,f974]) ).
tff(f796,plain,
( ~ mem(vertex,witness1(vertex),t2tb(g_succ1(sK26)))
| spl44_72 ),
inference(avatar_component_clause,[],[f795]) ).
tff(f983,plain,
( spl44_98
| ~ spl44_3
| ~ spl44_40 ),
inference(avatar_split_clause,[],[f976,f568,f419,f981]) ).
tff(f976,plain,
( mem(vertex,t2tb2(sK29),t2tb(g_succ1(sK12)))
| ~ spl44_3
| ~ spl44_40 ),
inference(backward_demodulation,[],[f420,f974]) ).
tff(f975,plain,
( spl44_97
| spl44_40
| ~ spl44_26 ),
inference(avatar_split_clause,[],[f782,f508,f568,f972]) ).
tff(f782,plain,
( ! [X0: vertex1] :
( ( sK26 = sK12 )
| ~ mem(vertex,t2tb2(X0),t2tb(g_succ1(sK26)))
| mem(vertex,t2tb2(X0),t2tb(sK15))
| mem(vertex,t2tb2(X0),t2tb(sK16)) )
| ~ spl44_26 ),
inference(resolution,[],[f251,f509]) ).
tff(f970,plain,
( ~ spl44_96
| ~ spl44_4
| spl44_39 ),
inference(avatar_split_clause,[],[f966,f565,f423,f968]) ).
tff(f423,plain,
( spl44_4
<=> ( sK21 = tb2t(remove(vertex,t2tb2(sK20),t2tb(sK18))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_4])]) ).
tff(f565,plain,
( spl44_39
<=> mem(vertex,t2tb2(sK29),t2tb(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_39])]) ).
tff(f966,plain,
( ~ mem(vertex,t2tb2(sK29),t2tb(tb2t(remove(vertex,t2tb2(sK20),t2tb(sK18)))))
| ~ spl44_4
| spl44_39 ),
inference(forward_demodulation,[],[f566,f424]) ).
tff(f424,plain,
( ( sK21 = tb2t(remove(vertex,t2tb2(sK20),t2tb(sK18))) )
| ~ spl44_4 ),
inference(avatar_component_clause,[],[f423]) ).
tff(f566,plain,
( ~ mem(vertex,t2tb2(sK29),t2tb(sK21))
| spl44_39 ),
inference(avatar_component_clause,[],[f565]) ).
tff(f965,plain,
( spl44_94
| spl44_93
| spl44_95
| ~ spl44_26
| spl44_40 ),
inference(avatar_split_clause,[],[f958,f568,f508,f963,f955,f960]) ).
tff(f958,plain,
( mem(vertex,choose(vertex,t2tb(g_succ1(sK26))),t2tb(sK15))
| is_empty(vertex,t2tb(g_succ1(sK26)))
| mem(vertex,choose(vertex,t2tb(g_succ1(sK26))),t2tb(sK16))
| ~ spl44_26
| spl44_40 ),
inference(subsumption_resolution,[],[f944,f394]) ).
tff(f944,plain,
( mem(vertex,choose(vertex,t2tb(g_succ1(sK26))),t2tb(sK16))
| ~ sort1(vertex,choose(vertex,t2tb(g_succ1(sK26))))
| is_empty(vertex,t2tb(g_succ1(sK26)))
| mem(vertex,choose(vertex,t2tb(g_succ1(sK26))),t2tb(sK15))
| ~ spl44_26
| spl44_40 ),
inference(resolution,[],[f900,f401]) ).
tff(f900,plain,
( ! [X14: uni] :
( ~ mem(vertex,X14,t2tb(g_succ1(sK26)))
| ~ sort1(vertex,X14)
| mem(vertex,X14,t2tb(sK16))
| mem(vertex,X14,t2tb(sK15)) )
| ~ spl44_26
| spl44_40 ),
inference(superposition,[],[f788,f342]) ).
tff(f788,plain,
( ! [X0: uni] :
( mem(vertex,contents(vertex,X0),t2tb(sK15))
| ~ mem(vertex,contents(vertex,X0),t2tb(g_succ1(sK26)))
| mem(vertex,contents(vertex,X0),t2tb(sK16)) )
| ~ spl44_26
| spl44_40 ),
inference(superposition,[],[f785,f683]) ).
tff(f785,plain,
( ! [X0: vertex1] :
( ~ mem(vertex,t2tb2(X0),t2tb(g_succ1(sK26)))
| mem(vertex,t2tb2(X0),t2tb(sK15))
| mem(vertex,t2tb2(X0),t2tb(sK16)) )
| ~ spl44_26
| spl44_40 ),
inference(subsumption_resolution,[],[f782,f569]) ).
tff(f957,plain,
( spl44_91
| spl44_92
| spl44_93
| ~ spl44_26
| spl44_40 ),
inference(avatar_split_clause,[],[f947,f568,f508,f955,f952,f949]) ).
tff(f947,plain,
( is_empty(vertex,t2tb(g_succ1(sK26)))
| mem(vertex,sK38(t2tb(g_succ1(sK26)),vertex),t2tb(sK16))
| mem(vertex,sK38(t2tb(g_succ1(sK26)),vertex),t2tb(sK15))
| ~ spl44_26
| spl44_40 ),
inference(subsumption_resolution,[],[f946,f333]) ).
tff(f946,plain,
( mem(vertex,sK38(t2tb(g_succ1(sK26)),vertex),t2tb(sK16))
| ~ sort1(vertex,sK38(t2tb(g_succ1(sK26)),vertex))
| is_empty(vertex,t2tb(g_succ1(sK26)))
| mem(vertex,sK38(t2tb(g_succ1(sK26)),vertex),t2tb(sK15))
| ~ spl44_26
| spl44_40 ),
inference(resolution,[],[f900,f332]) ).
tff(f943,plain,
( spl44_89
| ~ spl44_90
| ~ spl44_19
| ~ spl44_50 ),
inference(avatar_split_clause,[],[f939,f624,f478,f941,f926]) ).
tff(f926,plain,
( spl44_89
<=> shortest_path1(sK0,sK0,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_89])]) ).
tff(f939,plain,
( ~ mem(vertex,t2tb2(sK0),t2tb(sK8))
| shortest_path1(sK0,sK0,0)
| ~ spl44_19
| ~ spl44_50 ),
inference(forward_demodulation,[],[f938,f337]) ).
tff(f938,plain,
( ~ mem(vertex,t2tb2(sK0),t2tb(sK8))
| shortest_path1(sK0,tb2t2(t2tb2(sK0)),0)
| ~ spl44_19
| ~ spl44_50 ),
inference(forward_demodulation,[],[f937,f479]) ).
tff(f937,plain,
( ~ mem(vertex,t2tb2(sK0),t2tb(sK8))
| shortest_path1(sK0,tb2t2(t2tb2(sK0)),tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK0))))
| ~ spl44_50 ),
inference(subsumption_resolution,[],[f936,f384]) ).
tff(f936,plain,
( ~ mem(vertex,t2tb2(sK0),t2tb(sK8))
| shortest_path1(sK0,tb2t2(t2tb2(sK0)),tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK0))))
| ~ sort1(vertex,t2tb2(sK0))
| ~ spl44_50 ),
inference(superposition,[],[f898,f625]) ).
tff(f928,plain,
( ~ spl44_88
| spl44_89
| ~ spl44_19 ),
inference(avatar_split_clause,[],[f921,f478,f926,f923]) ).
tff(f921,plain,
( shortest_path1(sK0,sK0,0)
| ~ mem(vertex,t2tb2(sK0),t2tb(sK15))
| ~ spl44_19 ),
inference(forward_demodulation,[],[f920,f337]) ).
tff(f920,plain,
( ~ mem(vertex,t2tb2(sK0),t2tb(sK15))
| shortest_path1(sK0,tb2t2(t2tb2(sK0)),0)
| ~ spl44_19 ),
inference(subsumption_resolution,[],[f919,f384]) ).
tff(f919,plain,
( ~ mem(vertex,t2tb2(sK0),t2tb(sK15))
| ~ sort1(vertex,t2tb2(sK0))
| shortest_path1(sK0,tb2t2(t2tb2(sK0)),0)
| ~ spl44_19 ),
inference(superposition,[],[f892,f479]) ).
tff(f917,plain,
( ~ spl44_87
| spl44_78 ),
inference(avatar_split_clause,[],[f913,f843,f915]) ).
tff(f915,plain,
( spl44_87
<=> mem(vertex,sK38(t2tb(sK8),vertex),t2tb(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_87])]) ).
tff(f913,plain,
( is_empty(vertex,t2tb(sK8))
| ~ mem(vertex,sK38(t2tb(sK8),vertex),t2tb(sK6)) ),
inference(subsumption_resolution,[],[f912,f333]) ).
tff(f912,plain,
( is_empty(vertex,t2tb(sK8))
| ~ sort1(vertex,sK38(t2tb(sK8),vertex))
| ~ mem(vertex,sK38(t2tb(sK8),vertex),t2tb(sK6)) ),
inference(resolution,[],[f896,f332]) ).
tff(f910,plain,
( ~ spl44_86
| spl44_76 ),
inference(avatar_split_clause,[],[f906,f835,f908]) ).
tff(f908,plain,
( spl44_86
<=> mem(vertex,sK38(t2tb(sK16),vertex),t2tb(sK15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_86])]) ).
tff(f835,plain,
( spl44_76
<=> is_empty(vertex,t2tb(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_76])]) ).
tff(f906,plain,
( is_empty(vertex,t2tb(sK16))
| ~ mem(vertex,sK38(t2tb(sK16),vertex),t2tb(sK15)) ),
inference(subsumption_resolution,[],[f905,f333]) ).
tff(f905,plain,
( ~ mem(vertex,sK38(t2tb(sK16),vertex),t2tb(sK15))
| is_empty(vertex,t2tb(sK16))
| ~ sort1(vertex,sK38(t2tb(sK16),vertex)) ),
inference(resolution,[],[f890,f332]) ).
tff(f882,plain,
( ~ spl44_84
| spl44_85
| spl44_79
| ~ spl44_82 ),
inference(avatar_split_clause,[],[f875,f863,f846,f880,f877]) ).
tff(f880,plain,
( spl44_85
<=> mem(vertex,choose(vertex,t2tb(sK8)),t2tb(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_85])]) ).
tff(f846,plain,
( spl44_79
<=> mem(vertex,choose(vertex,t2tb(sK8)),t2tb(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_79])]) ).
tff(f875,plain,
( mem(vertex,choose(vertex,t2tb(sK8)),t2tb(sK8))
| ~ mem(vertex,choose(vertex,t2tb(sK8)),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))))
| spl44_79
| ~ spl44_82 ),
inference(resolution,[],[f868,f847]) ).
tff(f847,plain,
( ~ mem(vertex,choose(vertex,t2tb(sK8)),t2tb(sK6))
| spl44_79 ),
inference(avatar_component_clause,[],[f846]) ).
tff(f868,plain,
( ! [X1: uni] :
( mem(vertex,choose(vertex,X1),t2tb(sK6))
| ~ mem(vertex,choose(vertex,X1),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))))
| mem(vertex,choose(vertex,X1),t2tb(sK8)) )
| ~ spl44_82 ),
inference(superposition,[],[f864,f684]) ).
tff(f874,plain,
( ~ spl44_83
| ~ spl44_57
| spl44_58
| spl44_60
| ~ spl44_82 ),
inference(avatar_split_clause,[],[f870,f863,f709,f702,f688,f872]) ).
tff(f872,plain,
( spl44_83
<=> mem(vertex,witness1(vertex),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_83])]) ).
tff(f702,plain,
( spl44_58
<=> mem(vertex,witness1(vertex),t2tb(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_58])]) ).
tff(f709,plain,
( spl44_60
<=> mem(vertex,witness1(vertex),t2tb(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_60])]) ).
tff(f870,plain,
( ~ mem(vertex,witness1(vertex),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))))
| ~ spl44_57
| spl44_58
| spl44_60
| ~ spl44_82 ),
inference(subsumption_resolution,[],[f869,f703]) ).
tff(f703,plain,
( ~ mem(vertex,witness1(vertex),t2tb(sK8))
| spl44_58 ),
inference(avatar_component_clause,[],[f702]) ).
tff(f869,plain,
( ~ mem(vertex,witness1(vertex),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))))
| mem(vertex,witness1(vertex),t2tb(sK8))
| ~ spl44_57
| spl44_60
| ~ spl44_82 ),
inference(subsumption_resolution,[],[f866,f710]) ).
tff(f710,plain,
( ~ mem(vertex,witness1(vertex),t2tb(sK6))
| spl44_60 ),
inference(avatar_component_clause,[],[f709]) ).
tff(f866,plain,
( ~ mem(vertex,witness1(vertex),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8))))))
| mem(vertex,witness1(vertex),t2tb(sK6))
| mem(vertex,witness1(vertex),t2tb(sK8))
| ~ spl44_57
| ~ spl44_82 ),
inference(superposition,[],[f864,f689]) ).
tff(f865,plain,
( spl44_82
| spl44_78 ),
inference(avatar_split_clause,[],[f861,f843,f863]) ).
tff(f861,plain,
! [X0: vertex1] :
( is_empty(vertex,t2tb(sK8))
| mem(vertex,t2tb2(X0),t2tb(sK6))
| mem(vertex,t2tb2(X0),t2tb(sK8))
| ~ mem(vertex,t2tb2(X0),t2tb(g_succ1(tb2t2(choose(vertex,t2tb(sK8)))))) ),
inference(resolution,[],[f810,f401]) ).
tff(f810,plain,
! [X8: vertex1,X7: uni] :
( ~ mem(vertex,choose(vertex,X7),t2tb(sK8))
| mem(vertex,t2tb2(X8),t2tb(sK8))
| mem(vertex,t2tb2(X8),t2tb(sK6))
| ~ mem(vertex,t2tb2(X8),t2tb(g_succ1(tb2t2(choose(vertex,X7))))) ),
inference(superposition,[],[f272,f684]) ).
tff(f859,plain,
( spl44_81
| ~ spl44_80 ),
inference(avatar_split_clause,[],[f855,f852,f857]) ).
tff(f852,plain,
( spl44_80
<=> ( sK25 = tb2t1(set1(int,vertex,t2tb1(sK17),t2tb2(sK20),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK12))),weight1(sK12,sK20))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_80])]) ).
tff(f855,plain,
( ( t2tb1(sK25) = set1(int,vertex,t2tb1(sK17),t2tb2(sK20),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK12))),weight1(sK12,sK20)))) )
| ~ spl44_80 ),
inference(superposition,[],[f222,f853]) ).
tff(f853,plain,
( ( sK25 = tb2t1(set1(int,vertex,t2tb1(sK17),t2tb2(sK20),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK12))),weight1(sK12,sK20))))) )
| ~ spl44_80 ),
inference(avatar_component_clause,[],[f852]) ).
tff(f222,plain,
! [X0: uni] : ( t2tb1(tb2t1(X0)) = X0 ),
inference(cnf_transformation,[],[f155]) ).
tff(f155,plain,
! [X0: uni] : ( t2tb1(tb2t1(X0)) = X0 ),
inference(rectify,[],[f57]) ).
tff(f57,axiom,
! [X18: uni] : ( t2tb1(tb2t1(X18)) = X18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR1) ).
tff(f854,plain,
( spl44_80
| ~ spl44_9 ),
inference(avatar_split_clause,[],[f850,f442,f852]) ).
tff(f442,plain,
( spl44_9
<=> sP28(sK25,sK24,sK20,sK17,sK16,sK15,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_9])]) ).
tff(f850,plain,
( ( sK25 = tb2t1(set1(int,vertex,t2tb1(sK17),t2tb2(sK20),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK12))),weight1(sK12,sK20))))) )
| ~ spl44_9 ),
inference(resolution,[],[f229,f443]) ).
tff(f443,plain,
( sP28(sK25,sK24,sK20,sK17,sK16,sK15,sK12)
| ~ spl44_9 ),
inference(avatar_component_clause,[],[f442]) ).
tff(f229,plain,
! [X41: set_vertex,X39: vertex1,X29: map_vertex_int,X28: set_vertex,X26: set_vertex,X42: map_vertex_int,X23: vertex1] :
( ~ sP28(X42,X41,X39,X29,X28,X26,X23)
| ( tb2t1(set1(int,vertex,t2tb1(X29),t2tb2(X39),t2tb3($sum(tb2t3(get(int,vertex,t2tb1(X29),t2tb2(X23))),weight1(X23,X39))))) = X42 ) ),
inference(cnf_transformation,[],[f181]) ).
tff(f848,plain,
( spl44_78
| ~ spl44_79 ),
inference(avatar_split_clause,[],[f841,f846,f843]) ).
tff(f841,plain,
( ~ mem(vertex,choose(vertex,t2tb(sK8)),t2tb(sK6))
| is_empty(vertex,t2tb(sK8)) ),
inference(resolution,[],[f811,f401]) ).
tff(f840,plain,
( spl44_76
| ~ spl44_77 ),
inference(avatar_split_clause,[],[f833,f838,f835]) ).
tff(f838,plain,
( spl44_77
<=> mem(vertex,choose(vertex,t2tb(sK16)),t2tb(sK15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_77])]) ).
tff(f833,plain,
( ~ mem(vertex,choose(vertex,t2tb(sK16)),t2tb(sK15))
| is_empty(vertex,t2tb(sK16)) ),
inference(resolution,[],[f805,f401]) ).
tff(f827,plain,
( spl44_75
| ~ spl44_74 ),
inference(avatar_split_clause,[],[f822,f819,f825]) ).
tff(f819,plain,
( spl44_74
<=> is_empty(vertex,t2tb(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_74])]) ).
tff(f822,plain,
( ( 0 = cardinal1(vertex,t2tb(sK3)) )
| ~ spl44_74 ),
inference(resolution,[],[f820,f351]) ).
tff(f820,plain,
( is_empty(vertex,t2tb(sK3))
| ~ spl44_74 ),
inference(avatar_component_clause,[],[f819]) ).
tff(f821,plain,
spl44_74,
inference(avatar_split_clause,[],[f817,f819]) ).
tff(f817,plain,
is_empty(vertex,t2tb(sK3)),
inference(resolution,[],[f814,f401]) ).
tff(f814,plain,
! [X12: uni] : ~ mem(vertex,choose(vertex,X12),t2tb(sK3)),
inference(superposition,[],[f290,f684]) ).
tff(f290,plain,
! [X6: vertex1] : ~ mem(vertex,t2tb2(X6),t2tb(sK3)),
inference(cnf_transformation,[],[f181]) ).
tff(f803,plain,
( spl44_73
| ~ spl44_52 ),
inference(avatar_split_clause,[],[f798,f642,f801]) ).
tff(f801,plain,
( spl44_73
<=> path1(sK0,sK29,tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK29)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_73])]) ).
tff(f798,plain,
( path1(sK0,sK29,tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK29))))
| ~ spl44_52 ),
inference(resolution,[],[f790,f262]) ).
tff(f797,plain,
( ~ spl44_72
| ~ spl44_26
| spl44_40
| ~ spl44_57
| spl44_62
| spl44_65 ),
inference(avatar_split_clause,[],[f793,f728,f716,f688,f568,f508,f795]) ).
tff(f793,plain,
( ~ mem(vertex,witness1(vertex),t2tb(g_succ1(sK26)))
| ~ spl44_26
| spl44_40
| ~ spl44_57
| spl44_62
| spl44_65 ),
inference(subsumption_resolution,[],[f792,f729]) ).
tff(f792,plain,
( ~ mem(vertex,witness1(vertex),t2tb(g_succ1(sK26)))
| mem(vertex,witness1(vertex),t2tb(sK16))
| ~ spl44_26
| spl44_40
| ~ spl44_57
| spl44_62 ),
inference(subsumption_resolution,[],[f787,f717]) ).
tff(f787,plain,
( mem(vertex,witness1(vertex),t2tb(sK15))
| ~ mem(vertex,witness1(vertex),t2tb(g_succ1(sK26)))
| mem(vertex,witness1(vertex),t2tb(sK16))
| ~ spl44_26
| spl44_40
| ~ spl44_57 ),
inference(superposition,[],[f785,f689]) ).
tff(f791,plain,
( spl44_52
| ~ spl44_3
| spl44_23
| ~ spl44_26
| spl44_40 ),
inference(avatar_split_clause,[],[f789,f568,f508,f495,f419,f642]) ).
tff(f789,plain,
( mem(vertex,t2tb2(sK29),t2tb(sK16))
| ~ spl44_3
| spl44_23
| ~ spl44_26
| spl44_40 ),
inference(subsumption_resolution,[],[f786,f496]) ).
tff(f786,plain,
( mem(vertex,t2tb2(sK29),t2tb(sK16))
| mem(vertex,t2tb2(sK29),t2tb(sK15))
| ~ spl44_3
| ~ spl44_26
| spl44_40 ),
inference(resolution,[],[f785,f420]) ).
tff(f760,plain,
( spl44_71
| ~ spl44_51 ),
inference(avatar_split_clause,[],[f756,f632,f758]) ).
tff(f632,plain,
( spl44_51
<=> ( tb2t(add(vertex,t2tb2(sK20),t2tb(sK16))) = sK24 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_51])]) ).
tff(f756,plain,
( ( add(vertex,t2tb2(sK20),t2tb(sK16)) = t2tb(sK24) )
| ~ spl44_51 ),
inference(subsumption_resolution,[],[f749,f398]) ).
tff(f398,plain,
! [X2: ty,X0: uni,X1: uni] : sort1(set(X2),add(X2,X0,X1)),
inference(cnf_transformation,[],[f133]) ).
tff(f133,plain,
! [X2: ty,X1: uni,X0: uni] : sort1(set(X2),add(X2,X0,X1)),
inference(rectify,[],[f22]) ).
tff(f22,axiom,
! [X1: uni,X2: uni,X0: ty] : sort1(set(X0),add(X0,X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_sort1) ).
tff(f749,plain,
( ( add(vertex,t2tb2(sK20),t2tb(sK16)) = t2tb(sK24) )
| ~ sort1(set(vertex),add(vertex,t2tb2(sK20),t2tb(sK16)))
| ~ spl44_51 ),
inference(superposition,[],[f369,f633]) ).
tff(f633,plain,
( ( tb2t(add(vertex,t2tb2(sK20),t2tb(sK16))) = sK24 )
| ~ spl44_51 ),
inference(avatar_component_clause,[],[f632]) ).
tff(f755,plain,
( spl44_70
| ~ spl44_20 ),
inference(avatar_split_clause,[],[f751,f483,f753]) ).
tff(f483,plain,
( spl44_20
<=> ( sK15 = tb2t(add(vertex,t2tb2(sK12),t2tb(sK8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_20])]) ).
tff(f751,plain,
( ( add(vertex,t2tb2(sK12),t2tb(sK8)) = t2tb(sK15) )
| ~ spl44_20 ),
inference(subsumption_resolution,[],[f748,f398]) ).
tff(f748,plain,
( ~ sort1(set(vertex),add(vertex,t2tb2(sK12),t2tb(sK8)))
| ( add(vertex,t2tb2(sK12),t2tb(sK8)) = t2tb(sK15) )
| ~ spl44_20 ),
inference(superposition,[],[f369,f484]) ).
tff(f484,plain,
( ( sK15 = tb2t(add(vertex,t2tb2(sK12),t2tb(sK8))) )
| ~ spl44_20 ),
inference(avatar_component_clause,[],[f483]) ).
tff(f745,plain,
( ~ spl44_69
| ~ spl44_57 ),
inference(avatar_split_clause,[],[f699,f688,f743]) ).
tff(f743,plain,
( spl44_69
<=> mem(vertex,witness1(vertex),t2tb(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_69])]) ).
tff(f699,plain,
( ~ mem(vertex,witness1(vertex),t2tb(sK3))
| ~ spl44_57 ),
inference(superposition,[],[f290,f689]) ).
tff(f741,plain,
( spl44_68
| ~ spl44_65
| ~ spl44_57 ),
inference(avatar_split_clause,[],[f694,f688,f728,f739]) ).
tff(f739,plain,
( spl44_68
<=> path1(sK0,tb2t2(witness1(vertex)),tb2t3(get(int,vertex,t2tb1(sK17),witness1(vertex)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_68])]) ).
tff(f694,plain,
( ~ mem(vertex,witness1(vertex),t2tb(sK16))
| path1(sK0,tb2t2(witness1(vertex)),tb2t3(get(int,vertex,t2tb1(sK17),witness1(vertex))))
| ~ spl44_57 ),
inference(superposition,[],[f262,f689]) ).
tff(f737,plain,
( spl44_66
| ~ spl44_67
| ~ spl44_57 ),
inference(avatar_split_clause,[],[f692,f688,f735,f732]) ).
tff(f692,plain,
( ~ mem(vertex,witness1(vertex),t2tb(sK18))
| mem(vertex,witness1(vertex),t2tb(g_succ1(sK12)))
| ~ spl44_57 ),
inference(superposition,[],[f260,f689]) ).
tff(f730,plain,
( ~ spl44_62
| ~ spl44_65
| ~ spl44_57 ),
inference(avatar_split_clause,[],[f691,f688,f728,f716]) ).
tff(f691,plain,
( ~ mem(vertex,witness1(vertex),t2tb(sK16))
| ~ mem(vertex,witness1(vertex),t2tb(sK15))
| ~ spl44_57 ),
inference(superposition,[],[f257,f689]) ).
tff(f726,plain,
( ~ spl44_60
| ~ spl44_58
| ~ spl44_57 ),
inference(avatar_split_clause,[],[f696,f688,f702,f709]) ).
tff(f696,plain,
( ~ mem(vertex,witness1(vertex),t2tb(sK8))
| ~ mem(vertex,witness1(vertex),t2tb(sK6))
| ~ spl44_57 ),
inference(superposition,[],[f281,f689]) ).
tff(f725,plain,
( spl44_64
| ~ spl44_60
| ~ spl44_57 ),
inference(avatar_split_clause,[],[f697,f688,f709,f723]) ).
tff(f723,plain,
( spl44_64
<=> path1(sK0,tb2t2(witness1(vertex)),tb2t3(get(int,vertex,t2tb1(sK7),witness1(vertex)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_64])]) ).
tff(f697,plain,
( ~ mem(vertex,witness1(vertex),t2tb(sK6))
| path1(sK0,tb2t2(witness1(vertex)),tb2t3(get(int,vertex,t2tb1(sK7),witness1(vertex))))
| ~ spl44_57 ),
inference(superposition,[],[f282,f689]) ).
tff(f721,plain,
( ~ spl44_62
| spl44_63
| ~ spl44_57 ),
inference(avatar_split_clause,[],[f693,f688,f719,f716]) ).
tff(f719,plain,
( spl44_63
<=> shortest_path1(sK0,tb2t2(witness1(vertex)),tb2t3(get(int,vertex,t2tb1(sK17),witness1(vertex)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_63])]) ).
tff(f693,plain,
( shortest_path1(sK0,tb2t2(witness1(vertex)),tb2t3(get(int,vertex,t2tb1(sK17),witness1(vertex))))
| ~ mem(vertex,witness1(vertex),t2tb(sK15))
| ~ spl44_57 ),
inference(superposition,[],[f261,f689]) ).
tff(f714,plain,
( ~ spl44_60
| ~ spl44_61
| ~ spl44_57 ),
inference(avatar_split_clause,[],[f695,f688,f712,f709]) ).
tff(f712,plain,
( spl44_61
<=> $less(tb2t3(get(int,vertex,t2tb1(sK7),witness1(vertex))),tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK12)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_61])]) ).
tff(f695,plain,
( ~ $less(tb2t3(get(int,vertex,t2tb1(sK7),witness1(vertex))),tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK12))))
| ~ mem(vertex,witness1(vertex),t2tb(sK6))
| ~ spl44_57 ),
inference(superposition,[],[f269,f689]) ).
tff(f707,plain,
( ~ spl44_58
| spl44_59
| ~ spl44_57 ),
inference(avatar_split_clause,[],[f698,f688,f705,f702]) ).
tff(f705,plain,
( spl44_59
<=> shortest_path1(sK0,tb2t2(witness1(vertex)),tb2t3(get(int,vertex,t2tb1(sK7),witness1(vertex)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_59])]) ).
tff(f698,plain,
( shortest_path1(sK0,tb2t2(witness1(vertex)),tb2t3(get(int,vertex,t2tb1(sK7),witness1(vertex))))
| ~ mem(vertex,witness1(vertex),t2tb(sK8))
| ~ spl44_57 ),
inference(superposition,[],[f283,f689]) ).
tff(f690,plain,
spl44_57,
inference(avatar_split_clause,[],[f681,f688]) ).
tff(f681,plain,
witness1(vertex) = t2tb2(tb2t2(witness1(vertex))),
inference(resolution,[],[f399,f355]) ).
tff(f355,plain,
! [X0: ty] : sort1(X0,witness1(X0)),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0: ty] : sort1(X0,witness1(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',witness_sort1) ).
tff(f675,plain,
( ~ spl44_55
| ~ spl44_56
| ~ spl44_19
| ~ spl44_50 ),
inference(avatar_split_clause,[],[f668,f624,f478,f673,f670]) ).
tff(f668,plain,
( ~ $less(0,tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK12))))
| ~ mem(vertex,t2tb2(sK0),t2tb(sK6))
| ~ spl44_19
| ~ spl44_50 ),
inference(forward_demodulation,[],[f667,f479]) ).
tff(f667,plain,
( ~ mem(vertex,t2tb2(sK0),t2tb(sK6))
| ~ $less(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK0))),tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK12))))
| ~ spl44_50 ),
inference(superposition,[],[f269,f625]) ).
tff(f658,plain,
( spl44_54
| ~ spl44_26 ),
inference(avatar_split_clause,[],[f654,f508,f656]) ).
tff(f654,plain,
( shortest_path1(sK0,sK26,tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK26))))
| ~ spl44_26 ),
inference(resolution,[],[f261,f509]) ).
tff(f650,plain,
( spl44_53
| ~ spl44_11
| ~ spl44_12 ),
inference(avatar_split_clause,[],[f638,f451,f448,f648]) ).
tff(f648,plain,
( spl44_53
<=> sP27(sK25,sK16,sK20,sK17,sK16,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_53])]) ).
tff(f448,plain,
( spl44_11
<=> sP27(sK25,sK24,sK20,sK17,sK16,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_11])]) ).
tff(f451,plain,
( spl44_12
<=> ( sK24 = sK16 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_12])]) ).
tff(f638,plain,
( sP27(sK25,sK16,sK20,sK17,sK16,sK12)
| ~ spl44_11
| ~ spl44_12 ),
inference(backward_demodulation,[],[f449,f452]) ).
tff(f452,plain,
( ( sK24 = sK16 )
| ~ spl44_12 ),
inference(avatar_component_clause,[],[f451]) ).
tff(f449,plain,
( sP27(sK25,sK24,sK20,sK17,sK16,sK12)
| ~ spl44_11 ),
inference(avatar_component_clause,[],[f448]) ).
tff(f646,plain,
( spl44_46
| ~ spl44_12
| ~ spl44_17 ),
inference(avatar_split_clause,[],[f639,f471,f451,f600]) ).
tff(f639,plain,
( mem(vertex,t2tb2(sK20),t2tb(sK16))
| ~ spl44_12
| ~ spl44_17 ),
inference(backward_demodulation,[],[f472,f452]) ).
tff(f644,plain,
( ~ spl44_52
| spl44_1
| ~ spl44_12 ),
inference(avatar_split_clause,[],[f640,f451,f411,f642]) ).
tff(f640,plain,
( ~ mem(vertex,t2tb2(sK29),t2tb(sK16))
| spl44_1
| ~ spl44_12 ),
inference(backward_demodulation,[],[f412,f452]) ).
tff(f637,plain,
( spl44_12
| ~ spl44_11 ),
inference(avatar_split_clause,[],[f636,f448,f451]) ).
tff(f636,plain,
( ( sK24 = sK16 )
| ~ spl44_11 ),
inference(resolution,[],[f449,f233]) ).
tff(f233,plain,
! [X41: set_vertex,X39: vertex1,X29: map_vertex_int,X28: set_vertex,X42: map_vertex_int,X23: vertex1] :
( ~ sP27(X42,X41,X39,X29,X28,X23)
| ( X28 = X41 ) ),
inference(cnf_transformation,[],[f181]) ).
tff(f634,plain,
( spl44_51
| ~ spl44_9 ),
inference(avatar_split_clause,[],[f630,f442,f632]) ).
tff(f630,plain,
( ( tb2t(add(vertex,t2tb2(sK20),t2tb(sK16))) = sK24 )
| ~ spl44_9 ),
inference(resolution,[],[f232,f443]) ).
tff(f232,plain,
! [X41: set_vertex,X39: vertex1,X29: map_vertex_int,X28: set_vertex,X26: set_vertex,X42: map_vertex_int,X23: vertex1] :
( ~ sP28(X42,X41,X39,X29,X28,X26,X23)
| ( tb2t(add(vertex,t2tb2(X39),t2tb(X28))) = X41 ) ),
inference(cnf_transformation,[],[f181]) ).
tff(f626,plain,
( spl44_50
| ~ spl44_47
| ~ spl44_48 ),
inference(avatar_split_clause,[],[f622,f614,f610,f624]) ).
tff(f610,plain,
( spl44_47
<=> ( t2tb3(0) = get(int,vertex,t2tb1(sK17),t2tb2(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_47])]) ).
tff(f614,plain,
( spl44_48
<=> ( t2tb3(0) = get(int,vertex,t2tb1(sK7),t2tb2(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_48])]) ).
tff(f622,plain,
( ( get(int,vertex,t2tb1(sK17),t2tb2(sK0)) = get(int,vertex,t2tb1(sK7),t2tb2(sK0)) )
| ~ spl44_47
| ~ spl44_48 ),
inference(forward_demodulation,[],[f615,f611]) ).
tff(f611,plain,
( ( t2tb3(0) = get(int,vertex,t2tb1(sK17),t2tb2(sK0)) )
| ~ spl44_47 ),
inference(avatar_component_clause,[],[f610]) ).
tff(f615,plain,
( ( t2tb3(0) = get(int,vertex,t2tb1(sK7),t2tb2(sK0)) )
| ~ spl44_48 ),
inference(avatar_component_clause,[],[f614]) ).
tff(f621,plain,
( spl44_49
| ~ spl44_42
| ~ spl44_47 ),
inference(avatar_split_clause,[],[f617,f610,f578,f619]) ).
tff(f619,plain,
( spl44_49
<=> ( sK5 = tb2t1(set1(int,vertex,t2tb1(sK2),t2tb2(sK0),get(int,vertex,t2tb1(sK17),t2tb2(sK0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_49])]) ).
tff(f578,plain,
( spl44_42
<=> ( sK5 = tb2t1(set1(int,vertex,t2tb1(sK2),t2tb2(sK0),t2tb3(0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_42])]) ).
tff(f617,plain,
( ( sK5 = tb2t1(set1(int,vertex,t2tb1(sK2),t2tb2(sK0),get(int,vertex,t2tb1(sK17),t2tb2(sK0)))) )
| ~ spl44_42
| ~ spl44_47 ),
inference(backward_demodulation,[],[f579,f611]) ).
tff(f579,plain,
( ( sK5 = tb2t1(set1(int,vertex,t2tb1(sK2),t2tb2(sK0),t2tb3(0))) )
| ~ spl44_42 ),
inference(avatar_component_clause,[],[f578]) ).
tff(f616,plain,
( spl44_48
| ~ spl44_28 ),
inference(avatar_split_clause,[],[f607,f516,f614]) ).
tff(f516,plain,
( spl44_28
<=> ( 0 = tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_28])]) ).
tff(f607,plain,
( ( t2tb3(0) = get(int,vertex,t2tb1(sK7),t2tb2(sK0)) )
| ~ spl44_28 ),
inference(superposition,[],[f373,f517]) ).
tff(f517,plain,
( ( 0 = tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK0))) )
| ~ spl44_28 ),
inference(avatar_component_clause,[],[f516]) ).
tff(f373,plain,
! [X0: uni] : ( t2tb3(tb2t3(X0)) = X0 ),
inference(cnf_transformation,[],[f130]) ).
tff(f130,plain,
! [X0: uni] : ( t2tb3(tb2t3(X0)) = X0 ),
inference(rectify,[],[f63]) ).
tff(f63,axiom,
! [X18: uni] : ( t2tb3(tb2t3(X18)) = X18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR3) ).
tff(f612,plain,
( spl44_47
| ~ spl44_19 ),
inference(avatar_split_clause,[],[f606,f478,f610]) ).
tff(f606,plain,
( ( t2tb3(0) = get(int,vertex,t2tb1(sK17),t2tb2(sK0)) )
| ~ spl44_19 ),
inference(superposition,[],[f373,f479]) ).
tff(f605,plain,
( ~ spl44_18
| ~ spl44_9 ),
inference(avatar_split_clause,[],[f603,f442,f474]) ).
tff(f474,plain,
( spl44_18
<=> mem(vertex,t2tb2(sK20),t2tb(sK15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_18])]) ).
tff(f603,plain,
( ~ mem(vertex,t2tb2(sK20),t2tb(sK15))
| ~ spl44_9 ),
inference(resolution,[],[f231,f443]) ).
tff(f231,plain,
! [X41: set_vertex,X39: vertex1,X29: map_vertex_int,X28: set_vertex,X26: set_vertex,X42: map_vertex_int,X23: vertex1] :
( ~ sP28(X42,X41,X39,X29,X28,X26,X23)
| ~ mem(vertex,t2tb2(X39),t2tb(X26)) ),
inference(cnf_transformation,[],[f181]) ).
tff(f602,plain,
( ~ spl44_46
| ~ spl44_9 ),
inference(avatar_split_clause,[],[f598,f442,f600]) ).
tff(f598,plain,
( ~ mem(vertex,t2tb2(sK20),t2tb(sK16))
| ~ spl44_9 ),
inference(resolution,[],[f230,f443]) ).
tff(f230,plain,
! [X41: set_vertex,X39: vertex1,X29: map_vertex_int,X28: set_vertex,X26: set_vertex,X42: map_vertex_int,X23: vertex1] :
( ~ sP28(X42,X41,X39,X29,X28,X26,X23)
| ~ mem(vertex,t2tb2(X39),t2tb(X28)) ),
inference(cnf_transformation,[],[f181]) ).
tff(f596,plain,
( ~ spl44_16
| spl44_10
| spl44_11
| spl44_9 ),
inference(avatar_split_clause,[],[f239,f442,f448,f445,f466]) ).
tff(f466,plain,
( spl44_16
<=> $less($sum(tb2t3(get(int,vertex,t2tb1(sK25),t2tb2(sK12))),weight1(sK12,sK20)),tb2t3(get(int,vertex,t2tb1(sK25),t2tb2(sK20)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_16])]) ).
tff(f445,plain,
( spl44_10
<=> ( sK25 = sK17 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_10])]) ).
tff(f239,plain,
( sP28(sK25,sK24,sK20,sK17,sK16,sK15,sK12)
| sP27(sK25,sK24,sK20,sK17,sK16,sK12)
| ( sK25 = sK17 )
| ~ $less($sum(tb2t3(get(int,vertex,t2tb1(sK25),t2tb2(sK12))),weight1(sK12,sK20)),tb2t3(get(int,vertex,t2tb1(sK25),t2tb2(sK20)))) ),
inference(cnf_transformation,[],[f181]) ).
tff(f595,plain,
spl44_45,
inference(avatar_split_clause,[],[f268,f593]) ).
tff(f268,plain,
inv_src1(sK0,sK15,sK16),
inference(cnf_transformation,[],[f181]) ).
tff(f591,plain,
spl44_6,
inference(avatar_split_clause,[],[f264,f430]) ).
tff(f430,plain,
( spl44_6
<=> ( true1 = sK19 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_6])]) ).
tff(f264,plain,
true1 = sK19,
inference(cnf_transformation,[],[f181]) ).
tff(f590,plain,
spl44_44,
inference(avatar_split_clause,[],[f288,f588]) ).
tff(f588,plain,
( spl44_44
<=> subset(vertex,t2tb(sK8),t2tb(v1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_44])]) ).
tff(f288,plain,
subset(vertex,t2tb(sK8),t2tb(v1)),
inference(cnf_transformation,[],[f181]) ).
tff(f586,plain,
( spl44_12
| spl44_9
| spl44_17 ),
inference(avatar_split_clause,[],[f585,f471,f442,f451]) ).
tff(f585,plain,
( mem(vertex,t2tb2(sK20),t2tb(sK24))
| sP28(sK25,sK24,sK20,sK17,sK16,sK15,sK12)
| ( sK24 = sK16 ) ),
inference(subsumption_resolution,[],[f244,f235]) ).
tff(f235,plain,
! [X41: set_vertex,X39: vertex1,X29: map_vertex_int,X28: set_vertex,X42: map_vertex_int,X23: vertex1] :
( ~ sP27(X42,X41,X39,X29,X28,X23)
| mem(vertex,t2tb2(X39),t2tb(X41)) ),
inference(cnf_transformation,[],[f181]) ).
tff(f244,plain,
( sP28(sK25,sK24,sK20,sK17,sK16,sK15,sK12)
| sP27(sK25,sK24,sK20,sK17,sK16,sK12)
| ( sK24 = sK16 )
| mem(vertex,t2tb2(sK20),t2tb(sK24)) ),
inference(cnf_transformation,[],[f181]) ).
tff(f584,plain,
spl44_43,
inference(avatar_split_clause,[],[f294,f582]) ).
tff(f582,plain,
( spl44_43
<=> mem(vertex,t2tb2(sK0),t2tb(v1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_43])]) ).
tff(f294,plain,
mem(vertex,t2tb2(sK0),t2tb(v1)),
inference(cnf_transformation,[],[f181]) ).
tff(f580,plain,
spl44_42,
inference(avatar_split_clause,[],[f291,f578]) ).
tff(f291,plain,
sK5 = tb2t1(set1(int,vertex,t2tb1(sK2),t2tb2(sK0),t2tb3(0))),
inference(cnf_transformation,[],[f181]) ).
tff(f576,plain,
( spl44_9
| spl44_11
| spl44_10 ),
inference(avatar_split_clause,[],[f248,f445,f448,f442]) ).
tff(f248,plain,
( ( sK25 = sK17 )
| sP27(sK25,sK24,sK20,sK17,sK16,sK12)
| sP28(sK25,sK24,sK20,sK17,sK16,sK15,sK12) ),
inference(cnf_transformation,[],[f181]) ).
tff(f575,plain,
~ spl44_41,
inference(avatar_split_clause,[],[f221,f573]) ).
tff(f573,plain,
( spl44_41
<=> ( true1 = false1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_41])]) ).
tff(f221,plain,
true1 != false1,
inference(cnf_transformation,[],[f5]) ).
tff(f5,axiom,
true1 != false1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_False) ).
tff(f571,plain,
( spl44_11
| ~ spl44_16
| spl44_18
| spl44_9 ),
inference(avatar_split_clause,[],[f240,f442,f474,f466,f448]) ).
tff(f240,plain,
( sP28(sK25,sK24,sK20,sK17,sK16,sK15,sK12)
| mem(vertex,t2tb2(sK20),t2tb(sK15))
| ~ $less($sum(tb2t3(get(int,vertex,t2tb1(sK25),t2tb2(sK12))),weight1(sK12,sK20)),tb2t3(get(int,vertex,t2tb1(sK25),t2tb2(sK20))))
| sP27(sK25,sK24,sK20,sK17,sK16,sK12) ),
inference(cnf_transformation,[],[f181]) ).
tff(f570,plain,
( ~ spl44_39
| ~ spl44_40 ),
inference(avatar_split_clause,[],[f225,f568,f565]) ).
tff(f225,plain,
( ( sK26 != sK12 )
| ~ mem(vertex,t2tb2(sK29),t2tb(sK21)) ),
inference(cnf_transformation,[],[f181]) ).
tff(f563,plain,
( spl44_9
| spl44_17
| spl44_10 ),
inference(avatar_split_clause,[],[f562,f445,f471,f442]) ).
tff(f562,plain,
( ( sK25 = sK17 )
| mem(vertex,t2tb2(sK20),t2tb(sK24))
| sP28(sK25,sK24,sK20,sK17,sK16,sK15,sK12) ),
inference(subsumption_resolution,[],[f245,f235]) ).
tff(f245,plain,
( ( sK25 = sK17 )
| mem(vertex,t2tb2(sK20),t2tb(sK24))
| sP28(sK25,sK24,sK20,sK17,sK16,sK15,sK12)
| sP27(sK25,sK24,sK20,sK17,sK16,sK12) ),
inference(cnf_transformation,[],[f181]) ).
tff(f561,plain,
spl44_38,
inference(avatar_split_clause,[],[f278,f559]) ).
tff(f559,plain,
( spl44_38
<=> ( sK11 = tb2t(remove(vertex,t2tb2(sK12),t2tb(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_38])]) ).
tff(f278,plain,
sK11 = tb2t(remove(vertex,t2tb2(sK12),t2tb(sK6))),
inference(cnf_transformation,[],[f181]) ).
tff(f557,plain,
( spl44_9
| spl44_11
| spl44_10
| spl44_18 ),
inference(avatar_split_clause,[],[f249,f474,f445,f448,f442]) ).
tff(f249,plain,
( mem(vertex,t2tb2(sK20),t2tb(sK15))
| ( sK25 = sK17 )
| sP27(sK25,sK24,sK20,sK17,sK16,sK12)
| sP28(sK25,sK24,sK20,sK17,sK16,sK15,sK12) ),
inference(cnf_transformation,[],[f181]) ).
tff(f556,plain,
( spl44_37
| ~ spl44_33 ),
inference(avatar_split_clause,[],[f403,f539,f554]) ).
tff(f403,plain,
! [X34: vertex1] :
( ~ mem(vertex,t2tb2(sK12),t2tb(sK15))
| mem(vertex,t2tb2(X34),t2tb(sK18))
| ~ $less($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK12))),weight1(sK12,X34)),tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(X34))))
| ~ mem(vertex,t2tb2(X34),t2tb(g_succ1(sK12))) ),
inference(equality_resolution,[],[f253]) ).
tff(f253,plain,
! [X34: vertex1,X33: vertex1] :
( ~ mem(vertex,t2tb2(X34),t2tb(g_succ1(X33)))
| ( sK12 != X33 )
| mem(vertex,t2tb2(X34),t2tb(sK18))
| ~ $less($sum(tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(X33))),weight1(X33,X34)),tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(X34))))
| ~ mem(vertex,t2tb2(X33),t2tb(sK15)) ),
inference(cnf_transformation,[],[f181]) ).
tff(f552,plain,
spl44_36,
inference(avatar_split_clause,[],[f267,f550]) ).
tff(f267,plain,
subset(vertex,t2tb(sK15),t2tb(v1)),
inference(cnf_transformation,[],[f181]) ).
tff(f548,plain,
spl44_35,
inference(avatar_split_clause,[],[f285,f546]) ).
tff(f546,plain,
( spl44_35
<=> mem(vertex,t2tb2(sK10),t2tb(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_35])]) ).
tff(f285,plain,
mem(vertex,t2tb2(sK10),t2tb(sK6)),
inference(cnf_transformation,[],[f181]) ).
tff(f544,plain,
( ~ spl44_33
| spl44_34 ),
inference(avatar_split_clause,[],[f404,f542,f539]) ).
tff(f404,plain,
! [X34: vertex1] :
( ~ mem(vertex,t2tb2(X34),t2tb(g_succ1(sK12)))
| mem(vertex,t2tb2(X34),t2tb(sK18))
| mem(vertex,t2tb2(X34),t2tb(sK15))
| ~ mem(vertex,t2tb2(sK12),t2tb(sK15))
| mem(vertex,t2tb2(X34),t2tb(sK16)) ),
inference(equality_resolution,[],[f252]) ).
tff(f252,plain,
! [X34: vertex1,X33: vertex1] :
( ~ mem(vertex,t2tb2(X34),t2tb(g_succ1(X33)))
| ( sK12 != X33 )
| mem(vertex,t2tb2(X34),t2tb(sK18))
| mem(vertex,t2tb2(X34),t2tb(sK15))
| mem(vertex,t2tb2(X34),t2tb(sK16))
| ~ mem(vertex,t2tb2(X33),t2tb(sK15)) ),
inference(cnf_transformation,[],[f181]) ).
tff(f537,plain,
( spl44_22
| spl44_32 ),
inference(avatar_split_clause,[],[f279,f535,f490]) ).
tff(f490,plain,
( spl44_22
<=> ( true1 = sK9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_22])]) ).
tff(f535,plain,
( spl44_32
<=> mem(vertex,t2tb2(sK14),t2tb(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_32])]) ).
tff(f279,plain,
( mem(vertex,t2tb2(sK14),t2tb(sK6))
| ( true1 = sK9 ) ),
inference(cnf_transformation,[],[f181]) ).
tff(f532,plain,
spl44_31,
inference(avatar_split_clause,[],[f287,f530]) ).
tff(f287,plain,
inv_src1(sK0,sK8,sK6),
inference(cnf_transformation,[],[f181]) ).
tff(f528,plain,
( spl44_9
| spl44_18
| spl44_12
| spl44_11 ),
inference(avatar_split_clause,[],[f243,f448,f451,f474,f442]) ).
tff(f243,plain,
( sP27(sK25,sK24,sK20,sK17,sK16,sK12)
| ( sK24 = sK16 )
| mem(vertex,t2tb2(sK20),t2tb(sK15))
| sP28(sK25,sK24,sK20,sK17,sK16,sK15,sK12) ),
inference(cnf_transformation,[],[f181]) ).
tff(f527,plain,
spl44_30,
inference(avatar_split_clause,[],[f266,f525]) ).
tff(f525,plain,
( spl44_30
<=> subset(vertex,t2tb(sK16),t2tb(v1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_30])]) ).
tff(f266,plain,
subset(vertex,t2tb(sK16),t2tb(v1)),
inference(cnf_transformation,[],[f181]) ).
tff(f523,plain,
( spl44_6
| spl44_29 ),
inference(avatar_split_clause,[],[f259,f521,f430]) ).
tff(f521,plain,
( spl44_29
<=> ! [X37: vertex1] : ~ mem(vertex,t2tb2(X37),t2tb(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_29])]) ).
tff(f259,plain,
! [X37: vertex1] :
( ~ mem(vertex,t2tb2(X37),t2tb(sK18))
| ( true1 = sK19 ) ),
inference(cnf_transformation,[],[f181]) ).
tff(f518,plain,
spl44_28,
inference(avatar_split_clause,[],[f289,f516]) ).
tff(f289,plain,
0 = tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK0))),
inference(cnf_transformation,[],[f181]) ).
tff(f514,plain,
spl44_27,
inference(avatar_split_clause,[],[f292,f512]) ).
tff(f512,plain,
( spl44_27
<=> ( sK4 = tb2t(add(vertex,t2tb2(sK0),empty(vertex))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_27])]) ).
tff(f292,plain,
sK4 = tb2t(add(vertex,t2tb2(sK0),empty(vertex))),
inference(cnf_transformation,[],[f181]) ).
tff(f510,plain,
spl44_26,
inference(avatar_split_clause,[],[f237,f508]) ).
tff(f237,plain,
mem(vertex,t2tb2(sK26),t2tb(sK15)),
inference(cnf_transformation,[],[f181]) ).
tff(f506,plain,
spl44_25,
inference(avatar_split_clause,[],[f293,f504]) ).
tff(f504,plain,
( spl44_25
<=> mem(vertex,t2tb2(sK1),t2tb(v1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_25])]) ).
tff(f293,plain,
mem(vertex,t2tb2(sK1),t2tb(v1)),
inference(cnf_transformation,[],[f181]) ).
tff(f502,plain,
( spl44_9
| spl44_10
| spl44_12
| spl44_11 ),
inference(avatar_split_clause,[],[f247,f448,f451,f445,f442]) ).
tff(f247,plain,
( sP27(sK25,sK24,sK20,sK17,sK16,sK12)
| ( sK24 = sK16 )
| ( sK25 = sK17 )
| sP28(sK25,sK24,sK20,sK17,sK16,sK15,sK12) ),
inference(cnf_transformation,[],[f181]) ).
tff(f501,plain,
spl44_24,
inference(avatar_split_clause,[],[f276,f499]) ).
tff(f499,plain,
( spl44_24
<=> mem(vertex,t2tb2(sK12),t2tb(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_24])]) ).
tff(f276,plain,
mem(vertex,t2tb2(sK12),t2tb(sK6)),
inference(cnf_transformation,[],[f181]) ).
tff(f497,plain,
~ spl44_23,
inference(avatar_split_clause,[],[f228,f495]) ).
tff(f228,plain,
~ mem(vertex,t2tb2(sK29),t2tb(sK15)),
inference(cnf_transformation,[],[f181]) ).
tff(f493,plain,
~ spl44_22,
inference(avatar_split_clause,[],[f284,f490]) ).
tff(f284,plain,
true1 != sK9,
inference(cnf_transformation,[],[f181]) ).
tff(f492,plain,
( spl44_21
| ~ spl44_22 ),
inference(avatar_split_clause,[],[f280,f490,f487]) ).
tff(f487,plain,
( spl44_21
<=> ! [X20: vertex1] : ~ mem(vertex,t2tb2(X20),t2tb(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_21])]) ).
tff(f280,plain,
! [X20: vertex1] :
( ( true1 != sK9 )
| ~ mem(vertex,t2tb2(X20),t2tb(sK6)) ),
inference(cnf_transformation,[],[f181]) ).
tff(f485,plain,
spl44_20,
inference(avatar_split_clause,[],[f271,f483]) ).
tff(f271,plain,
sK15 = tb2t(add(vertex,t2tb2(sK12),t2tb(sK8))),
inference(cnf_transformation,[],[f181]) ).
tff(f481,plain,
( spl44_12
| spl44_9
| spl44_11 ),
inference(avatar_split_clause,[],[f241,f448,f442,f451]) ).
tff(f241,plain,
( sP27(sK25,sK24,sK20,sK17,sK16,sK12)
| sP28(sK25,sK24,sK20,sK17,sK16,sK15,sK12)
| ( sK24 = sK16 ) ),
inference(cnf_transformation,[],[f181]) ).
tff(f480,plain,
spl44_19,
inference(avatar_split_clause,[],[f265,f478]) ).
tff(f265,plain,
0 = tb2t3(get(int,vertex,t2tb1(sK17),t2tb2(sK0))),
inference(cnf_transformation,[],[f181]) ).
tff(f476,plain,
( spl44_9
| spl44_17
| spl44_18 ),
inference(avatar_split_clause,[],[f469,f474,f471,f442]) ).
tff(f469,plain,
( mem(vertex,t2tb2(sK20),t2tb(sK15))
| mem(vertex,t2tb2(sK20),t2tb(sK24))
| sP28(sK25,sK24,sK20,sK17,sK16,sK15,sK12) ),
inference(subsumption_resolution,[],[f246,f235]) ).
tff(f246,plain,
( mem(vertex,t2tb2(sK20),t2tb(sK24))
| mem(vertex,t2tb2(sK20),t2tb(sK15))
| sP28(sK25,sK24,sK20,sK17,sK16,sK15,sK12)
| sP27(sK25,sK24,sK20,sK17,sK16,sK12) ),
inference(cnf_transformation,[],[f181]) ).
tff(f468,plain,
( spl44_9
| ~ spl44_16
| spl44_11
| spl44_12 ),
inference(avatar_split_clause,[],[f238,f451,f448,f466,f442]) ).
tff(f238,plain,
( ( sK24 = sK16 )
| sP27(sK25,sK24,sK20,sK17,sK16,sK12)
| ~ $less($sum(tb2t3(get(int,vertex,t2tb1(sK25),t2tb2(sK12))),weight1(sK12,sK20)),tb2t3(get(int,vertex,t2tb1(sK25),t2tb2(sK20))))
| sP28(sK25,sK24,sK20,sK17,sK16,sK15,sK12) ),
inference(cnf_transformation,[],[f181]) ).
tff(f464,plain,
( spl44_14
| spl44_15 ),
inference(avatar_split_clause,[],[f250,f462,f459]) ).
tff(f459,plain,
( spl44_14
<=> $less(tb2t3(get(int,vertex,t2tb1(sK25),t2tb2(sK20))),$sum(tb2t3(get(int,vertex,t2tb1(sK25),t2tb2(sK12))),weight1(sK12,sK20))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_14])]) ).
tff(f250,plain,
( ( tb2t3(get(int,vertex,t2tb1(sK25),t2tb2(sK20))) = $sum(tb2t3(get(int,vertex,t2tb1(sK25),t2tb2(sK12))),weight1(sK12,sK20)) )
| $less(tb2t3(get(int,vertex,t2tb1(sK25),t2tb2(sK20))),$sum(tb2t3(get(int,vertex,t2tb1(sK25),t2tb2(sK12))),weight1(sK12,sK20))) ),
inference(cnf_transformation,[],[f181]) ).
tff(f457,plain,
spl44_13,
inference(avatar_split_clause,[],[f255,f455]) ).
tff(f255,plain,
mem(vertex,t2tb2(sK20),t2tb(sK18)),
inference(cnf_transformation,[],[f181]) ).
tff(f453,plain,
( spl44_9
| spl44_10
| spl44_11
| spl44_12 ),
inference(avatar_split_clause,[],[f242,f451,f448,f445,f442]) ).
tff(f242,plain,
( ( sK24 = sK16 )
| sP27(sK25,sK24,sK20,sK17,sK16,sK12)
| ( sK25 = sK17 )
| sP28(sK25,sK24,sK20,sK17,sK16,sK15,sK12) ),
inference(cnf_transformation,[],[f181]) ).
tff(f440,plain,
spl44_8,
inference(avatar_split_clause,[],[f277,f438]) ).
tff(f438,plain,
( spl44_8
<=> path1(sK0,sK12,tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK12)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_8])]) ).
tff(f277,plain,
path1(sK0,sK12,tb2t3(get(int,vertex,t2tb1(sK7),t2tb2(sK12)))),
inference(cnf_transformation,[],[f181]) ).
tff(f436,plain,
spl44_7,
inference(avatar_split_clause,[],[f286,f434]) ).
tff(f434,plain,
( spl44_7
<=> subset(vertex,t2tb(sK6),t2tb(v1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_7])]) ).
tff(f286,plain,
subset(vertex,t2tb(sK6),t2tb(v1)),
inference(cnf_transformation,[],[f181]) ).
tff(f432,plain,
( spl44_5
| ~ spl44_6 ),
inference(avatar_split_clause,[],[f258,f430,f427]) ).
tff(f427,plain,
( spl44_5
<=> mem(vertex,t2tb2(sK23),t2tb(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_5])]) ).
tff(f258,plain,
( ( true1 != sK19 )
| mem(vertex,t2tb2(sK23),t2tb(sK18)) ),
inference(cnf_transformation,[],[f181]) ).
tff(f425,plain,
spl44_4,
inference(avatar_split_clause,[],[f256,f423]) ).
tff(f256,plain,
sK21 = tb2t(remove(vertex,t2tb2(sK20),t2tb(sK18))),
inference(cnf_transformation,[],[f181]) ).
tff(f421,plain,
spl44_3,
inference(avatar_split_clause,[],[f226,f419]) ).
tff(f226,plain,
mem(vertex,t2tb2(sK29),t2tb(g_succ1(sK26))),
inference(cnf_transformation,[],[f181]) ).
tff(f417,plain,
spl44_2,
inference(avatar_split_clause,[],[f263,f415]) ).
tff(f415,plain,
( spl44_2
<=> mem(vertex,t2tb2(sK22),t2tb(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_2])]) ).
tff(f263,plain,
mem(vertex,t2tb2(sK22),t2tb(sK18)),
inference(cnf_transformation,[],[f181]) ).
tff(f413,plain,
~ spl44_1,
inference(avatar_split_clause,[],[f227,f411]) ).
tff(f227,plain,
~ mem(vertex,t2tb2(sK29),t2tb(sK24)),
inference(cnf_transformation,[],[f181]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW587=2 : TPTP v8.1.0. Released v6.1.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 20:54:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 % (5626)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.45 % (5626)Instruction limit reached!
% 0.18/0.45 % (5626)------------------------------
% 0.18/0.45 % (5626)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.46 % (5626)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.46 % (5626)Termination reason: Unknown
% 0.18/0.46 % (5626)Termination phase: Property scanning
% 0.18/0.46
% 0.18/0.46 % (5626)Memory used [KB]: 1023
% 0.18/0.46 % (5626)Time elapsed: 0.004 s
% 0.18/0.46 % (5626)Instructions burned: 3 (million)
% 0.18/0.46 % (5626)------------------------------
% 0.18/0.46 % (5626)------------------------------
% 0.18/0.51 % (5623)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.29/0.51 % (5623)Instruction limit reached!
% 1.29/0.51 % (5623)------------------------------
% 1.29/0.51 % (5623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.51 % (5623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.51 % (5623)Termination reason: Unknown
% 1.29/0.51 % (5623)Termination phase: Property scanning
% 1.29/0.51
% 1.29/0.51 % (5623)Memory used [KB]: 1023
% 1.29/0.51 % (5623)Time elapsed: 0.004 s
% 1.29/0.51 % (5623)Instructions burned: 3 (million)
% 1.29/0.51 % (5623)------------------------------
% 1.29/0.51 % (5623)------------------------------
% 1.29/0.51 % (5637)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.29/0.51 % (5629)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=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.29/0.52 % (5629)Instruction limit reached!
% 1.29/0.52 % (5629)------------------------------
% 1.29/0.52 % (5629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.52 % (5629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.52 % (5629)Termination reason: Unknown
% 1.29/0.52 % (5629)Termination phase: Property scanning
% 1.29/0.52
% 1.29/0.52 % (5629)Memory used [KB]: 1023
% 1.29/0.52 % (5629)Time elapsed: 0.005 s
% 1.29/0.52 % (5629)Instructions burned: 2 (million)
% 1.29/0.52 % (5629)------------------------------
% 1.29/0.52 % (5629)------------------------------
% 1.29/0.52 % (5619)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.29/0.52 % (5628)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.29/0.52 % (5622)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 1.29/0.52 % (5618)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.29/0.53 % (5625)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.42/0.53 % (5625)Instruction limit reached!
% 1.42/0.53 % (5625)------------------------------
% 1.42/0.53 % (5625)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.53 % (5625)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.53 % (5625)Termination reason: Unknown
% 1.42/0.53 % (5625)Termination phase: Including theory axioms
% 1.42/0.53
% 1.42/0.53 % (5625)Memory used [KB]: 1023
% 1.42/0.53 % (5625)Time elapsed: 0.004 s
% 1.42/0.53 % (5625)Instructions burned: 6 (million)
% 1.42/0.53 % (5625)------------------------------
% 1.42/0.53 % (5625)------------------------------
% 1.42/0.53 % (5621)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 1.42/0.53 % (5614)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=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 1.42/0.53 % (5642)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.42/0.53 % (5636)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 1.42/0.54 % (5634)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.42/0.54 % (5627)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.42/0.54 % (5620)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 1.42/0.54 % (5617)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=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.42/0.54 % (5616)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.42/0.54 % (5617)Instruction limit reached!
% 1.42/0.54 % (5617)------------------------------
% 1.42/0.54 % (5617)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54 % (5617)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54 % (5617)Termination reason: Unknown
% 1.42/0.54 % (5617)Termination phase: shuffling
% 1.42/0.54
% 1.42/0.54 % (5617)Memory used [KB]: 1023
% 1.42/0.54 % (5617)Time elapsed: 0.002 s
% 1.42/0.54 % (5617)Instructions burned: 2 (million)
% 1.42/0.54 % (5617)------------------------------
% 1.42/0.54 % (5617)------------------------------
% 1.42/0.54 % (5619)Instruction limit reached!
% 1.42/0.54 % (5619)------------------------------
% 1.42/0.54 % (5619)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54 % (5619)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54 % (5619)Termination reason: Unknown
% 1.42/0.54 % (5619)Termination phase: Function definition elimination
% 1.42/0.54
% 1.42/0.54 % (5619)Memory used [KB]: 1407
% 1.42/0.54 % (5619)Time elapsed: 0.008 s
% 1.42/0.54 % (5619)Instructions burned: 16 (million)
% 1.42/0.54 % (5619)------------------------------
% 1.42/0.54 % (5619)------------------------------
% 1.42/0.54 % (5624)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 1.42/0.54 % (5616)Instruction limit reached!
% 1.42/0.54 % (5616)------------------------------
% 1.42/0.54 % (5616)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54 % (5616)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54 % (5616)Termination reason: Unknown
% 1.42/0.54 % (5616)Termination phase: Preprocessing 3
% 1.42/0.54
% 1.42/0.54 % (5616)Memory used [KB]: 1279
% 1.42/0.54 % (5616)Time elapsed: 0.005 s
% 1.42/0.54 % (5616)Instructions burned: 9 (million)
% 1.42/0.54 % (5616)------------------------------
% 1.42/0.54 % (5616)------------------------------
% 1.42/0.55 % (5631)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=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.42/0.55 % (5630)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.42/0.55 % (5615)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=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 1.42/0.55 % (5630)Instruction limit reached!
% 1.42/0.55 % (5630)------------------------------
% 1.42/0.55 % (5630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55 % (5630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55 % (5630)Termination reason: Unknown
% 1.42/0.55 % (5630)Termination phase: Property scanning
% 1.42/0.55
% 1.42/0.55 % (5630)Memory used [KB]: 1023
% 1.42/0.55 % (5630)Time elapsed: 0.002 s
% 1.42/0.55 % (5630)Instructions burned: 3 (million)
% 1.42/0.55 % (5630)------------------------------
% 1.42/0.55 % (5630)------------------------------
% 1.42/0.55 % (5635)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.42/0.55 % (5622)Instruction limit reached!
% 1.42/0.55 % (5622)------------------------------
% 1.42/0.55 % (5622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55 % (5622)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55 % (5622)Termination reason: Unknown
% 1.42/0.55 % (5622)Termination phase: Saturation
% 1.42/0.55
% 1.42/0.55 % (5622)Memory used [KB]: 6140
% 1.42/0.55 % (5622)Time elapsed: 0.013 s
% 1.42/0.55 % (5622)Instructions burned: 27 (million)
% 1.42/0.55 % (5622)------------------------------
% 1.42/0.55 % (5622)------------------------------
% 1.42/0.55 % (5632)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.42/0.55 % (5643)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=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/41Mi)
% 1.42/0.55 % (5633)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.42/0.55 % (5633)Instruction limit reached!
% 1.42/0.55 % (5633)------------------------------
% 1.42/0.55 % (5633)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55 % (5633)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55 % (5633)Termination reason: Unknown
% 1.42/0.55 % (5633)Termination phase: Property scanning
% 1.42/0.55
% 1.42/0.55 % (5633)Memory used [KB]: 1023
% 1.42/0.55 % (5633)Time elapsed: 0.002 s
% 1.42/0.55 % (5633)Instructions burned: 2 (million)
% 1.42/0.55 % (5633)------------------------------
% 1.42/0.55 % (5633)------------------------------
% 1.42/0.56 % (5638)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/47Mi)
% 1.42/0.56 % (5640)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.42/0.56 % (5642)Instruction limit reached!
% 1.42/0.56 % (5642)------------------------------
% 1.42/0.56 % (5642)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.56 % (5642)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.56 % (5642)Termination reason: Unknown
% 1.42/0.56 % (5642)Termination phase: Saturation
% 1.42/0.56
% 1.42/0.56 % (5642)Memory used [KB]: 6140
% 1.42/0.56 % (5642)Time elapsed: 0.165 s
% 1.42/0.56 % (5642)Instructions burned: 23 (million)
% 1.42/0.56 % (5642)------------------------------
% 1.42/0.56 % (5642)------------------------------
% 1.42/0.56 % (5639)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.42/0.56 % (5634)Instruction limit reached!
% 1.42/0.56 % (5634)------------------------------
% 1.42/0.56 % (5634)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.56 % (5634)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.56 % (5634)Termination reason: Unknown
% 1.42/0.56 % (5634)Termination phase: Function definition elimination
% 1.42/0.56
% 1.42/0.56 % (5634)Memory used [KB]: 1535
% 1.42/0.56 % (5634)Time elapsed: 0.008 s
% 1.42/0.56 % (5634)Instructions burned: 16 (million)
% 1.42/0.56 % (5634)------------------------------
% 1.42/0.56 % (5634)------------------------------
% 1.42/0.56 % (5641)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.42/0.57 % (5627)Instruction limit reached!
% 1.42/0.57 % (5627)------------------------------
% 1.42/0.57 % (5627)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.57 % (5627)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.57 % (5627)Termination reason: Unknown
% 1.42/0.57 % (5627)Termination phase: Saturation
% 1.42/0.57
% 1.42/0.57 % (5627)Memory used [KB]: 6012
% 1.42/0.57 % (5627)Time elapsed: 0.167 s
% 1.42/0.57 % (5627)Instructions burned: 21 (million)
% 1.42/0.57 % (5627)------------------------------
% 1.42/0.57 % (5627)------------------------------
% 1.42/0.57 % (5637)Instruction limit reached!
% 1.42/0.57 % (5637)------------------------------
% 1.42/0.57 % (5637)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.57 % (5637)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.57 % (5637)Termination reason: Unknown
% 1.42/0.57 % (5637)Termination phase: Saturation
% 1.42/0.57
% 1.42/0.57 % (5637)Memory used [KB]: 6396
% 1.42/0.57 % (5637)Time elapsed: 0.161 s
% 1.42/0.57 % (5637)Instructions burned: 50 (million)
% 1.42/0.57 % (5637)------------------------------
% 1.42/0.57 % (5637)------------------------------
% 1.42/0.58 % (5632)Instruction limit reached!
% 1.42/0.58 % (5632)------------------------------
% 1.42/0.58 % (5632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.58 % (5632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.58 % (5632)Termination reason: Unknown
% 1.42/0.58 % (5632)Termination phase: Saturation
% 1.42/0.58
% 1.42/0.58 % (5632)Memory used [KB]: 1535
% 1.42/0.58 % (5632)Time elapsed: 0.007 s
% 1.42/0.58 % (5632)Instructions burned: 16 (million)
% 1.42/0.58 % (5632)------------------------------
% 1.42/0.58 % (5632)------------------------------
% 1.42/0.58 % (5635)Instruction limit reached!
% 1.42/0.58 % (5635)------------------------------
% 1.42/0.58 % (5635)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.58 % (5635)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.58 % (5635)Termination reason: Unknown
% 1.42/0.58 % (5635)Termination phase: Saturation
% 1.42/0.58
% 1.42/0.58 % (5635)Memory used [KB]: 6140
% 1.42/0.58 % (5635)Time elapsed: 0.176 s
% 1.42/0.58 % (5635)Instructions burned: 22 (million)
% 1.42/0.58 % (5635)------------------------------
% 1.42/0.58 % (5635)------------------------------
% 1.42/0.58 % (5615)Instruction limit reached!
% 1.42/0.58 % (5615)------------------------------
% 1.42/0.58 % (5615)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.58 % (5615)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.58 % (5615)Termination reason: Unknown
% 1.42/0.58 % (5615)Termination phase: Property scanning
% 1.42/0.58
% 1.42/0.58 % (5615)Memory used [KB]: 1535
% 1.42/0.58 % (5615)Time elapsed: 0.014 s
% 1.42/0.58 % (5615)Instructions burned: 36 (million)
% 1.42/0.58 % (5615)------------------------------
% 1.42/0.58 % (5615)------------------------------
% 1.42/0.58 % (5621)Instruction limit reached!
% 1.42/0.58 % (5621)------------------------------
% 1.42/0.58 % (5621)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.58 % (5621)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.58 % (5621)Termination reason: Unknown
% 1.42/0.58 % (5621)Termination phase: Saturation
% 1.42/0.58
% 1.42/0.58 % (5621)Memory used [KB]: 6268
% 1.42/0.58 % (5621)Time elapsed: 0.164 s
% 1.42/0.58 % (5621)Instructions burned: 36 (million)
% 1.42/0.58 % (5621)------------------------------
% 1.42/0.58 % (5621)------------------------------
% 1.42/0.59 % (5618)Instruction limit reached!
% 1.42/0.59 % (5618)------------------------------
% 1.42/0.59 % (5618)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.59 % (5618)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.59 % (5618)Termination reason: Unknown
% 1.42/0.59 % (5618)Termination phase: Saturation
% 1.42/0.59
% 1.42/0.59 % (5618)Memory used [KB]: 6396
% 1.42/0.59 % (5618)Time elapsed: 0.173 s
% 1.42/0.59 % (5618)Instructions burned: 37 (million)
% 1.42/0.59 % (5618)------------------------------
% 1.42/0.59 % (5618)------------------------------
% 1.42/0.59 % (5641)Instruction limit reached!
% 1.42/0.59 % (5641)------------------------------
% 1.42/0.59 % (5641)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.59 % (5641)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.59 % (5641)Termination reason: Unknown
% 1.42/0.59 % (5641)Termination phase: Saturation
% 1.42/0.59
% 1.42/0.59 % (5641)Memory used [KB]: 6012
% 1.42/0.59 % (5641)Time elapsed: 0.190 s
% 1.42/0.59 % (5641)Instructions burned: 21 (million)
% 1.42/0.59 % (5641)------------------------------
% 1.42/0.59 % (5641)------------------------------
% 1.42/0.59 % (5624)Instruction limit reached!
% 1.42/0.59 % (5624)------------------------------
% 1.42/0.59 % (5624)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.59 % (5624)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.59 % (5624)Termination reason: Unknown
% 1.42/0.59 % (5624)Termination phase: Saturation
% 1.42/0.59
% 1.42/0.59 % (5624)Memory used [KB]: 6268
% 1.42/0.59 % (5624)Time elapsed: 0.172 s
% 1.42/0.59 % (5624)Instructions burned: 35 (million)
% 1.42/0.59 % (5624)------------------------------
% 1.42/0.59 % (5624)------------------------------
% 1.42/0.60 % (5620)Instruction limit reached!
% 1.42/0.60 % (5620)------------------------------
% 1.42/0.60 % (5620)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.60 % (5620)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.60 % (5620)Termination reason: Unknown
% 1.42/0.60 % (5620)Termination phase: Saturation
% 1.42/0.60
% 1.42/0.60 % (5620)Memory used [KB]: 6268
% 1.42/0.60 % (5620)Time elapsed: 0.176 s
% 1.42/0.60 % (5620)Instructions burned: 32 (million)
% 1.42/0.60 % (5620)------------------------------
% 1.42/0.60 % (5620)------------------------------
% 1.42/0.61 % (5643)Instruction limit reached!
% 1.42/0.61 % (5643)------------------------------
% 1.42/0.61 % (5643)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.61 % (5643)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.61 % (5643)Termination reason: Unknown
% 1.42/0.61 % (5643)Termination phase: Saturation
% 1.42/0.61
% 1.42/0.61 % (5643)Memory used [KB]: 6396
% 1.42/0.61 % (5643)Time elapsed: 0.201 s
% 1.42/0.61 % (5643)Instructions burned: 41 (million)
% 1.42/0.61 % (5643)------------------------------
% 1.42/0.61 % (5643)------------------------------
% 1.42/0.61 % (5636)Instruction limit reached!
% 1.42/0.61 % (5636)------------------------------
% 1.42/0.61 % (5636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.61 % (5636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.61 % (5636)Termination reason: Unknown
% 1.42/0.61 % (5636)Termination phase: Saturation
% 1.42/0.61
% 1.42/0.61 % (5636)Memory used [KB]: 1918
% 1.42/0.61 % (5636)Time elapsed: 0.173 s
% 1.42/0.61 % (5636)Instructions burned: 47 (million)
% 1.42/0.61 % (5636)------------------------------
% 1.42/0.61 % (5636)------------------------------
% 1.42/0.61 % (5640)Instruction limit reached!
% 1.42/0.61 % (5640)------------------------------
% 1.42/0.61 % (5640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.61 % (5640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.61 % (5640)Termination reason: Unknown
% 1.42/0.61 % (5640)Termination phase: Saturation
% 1.42/0.61
% 1.42/0.61 % (5640)Memory used [KB]: 6524
% 1.42/0.61 % (5640)Time elapsed: 0.216 s
% 1.42/0.61 % (5640)Instructions burned: 43 (million)
% 1.42/0.61 % (5640)------------------------------
% 1.42/0.61 % (5640)------------------------------
% 1.42/0.61 % (5644)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 1.42/0.62 % (5639)Instruction limit reached!
% 1.42/0.62 % (5639)------------------------------
% 1.42/0.62 % (5639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.62 % (5639)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.62 % (5639)Termination reason: Unknown
% 1.42/0.62 % (5639)Termination phase: Saturation
% 1.42/0.62
% 1.42/0.62 % (5639)Memory used [KB]: 6524
% 1.42/0.62 % (5639)Time elapsed: 0.221 s
% 1.42/0.62 % (5639)Instructions burned: 42 (million)
% 1.42/0.62 % (5639)------------------------------
% 1.42/0.62 % (5639)------------------------------
% 1.99/0.63 % (5628)Instruction limit reached!
% 1.99/0.63 % (5628)------------------------------
% 1.99/0.63 % (5628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.63 % (5628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.63 % (5628)Termination reason: Unknown
% 1.99/0.63 % (5628)Termination phase: Saturation
% 1.99/0.63
% 1.99/0.63 % (5628)Memory used [KB]: 7164
% 1.99/0.63 % (5628)Time elapsed: 0.184 s
% 1.99/0.63 % (5628)Instructions burned: 52 (million)
% 1.99/0.63 % (5628)------------------------------
% 1.99/0.63 % (5628)------------------------------
% 1.99/0.63 % (5644)Instruction limit reached!
% 1.99/0.63 % (5644)------------------------------
% 1.99/0.63 % (5644)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.63 % (5644)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.63 % (5644)Termination reason: Unknown
% 1.99/0.63 % (5644)Termination phase: Saturation
% 1.99/0.63
% 1.99/0.63 % (5644)Memory used [KB]: 6012
% 1.99/0.63 % (5644)Time elapsed: 0.009 s
% 1.99/0.63 % (5644)Instructions burned: 17 (million)
% 1.99/0.63 % (5644)------------------------------
% 1.99/0.63 % (5644)------------------------------
% 1.99/0.63 % (5646)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/25Mi)
% 1.99/0.64 % (5638)Instruction limit reached!
% 1.99/0.64 % (5638)------------------------------
% 1.99/0.64 % (5638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.64 % (5638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.64 % (5638)Termination reason: Unknown
% 1.99/0.64 % (5638)Termination phase: Saturation
% 1.99/0.64
% 1.99/0.64 % (5638)Memory used [KB]: 1791
% 1.99/0.64 % (5638)Time elapsed: 0.228 s
% 1.99/0.64 % (5638)Instructions burned: 47 (million)
% 1.99/0.64 % (5638)------------------------------
% 1.99/0.64 % (5638)------------------------------
% 1.99/0.64 % (5645)lrs+1_1:1_aac=none:acc=on:add=large:bd=off:bs=unit_only:bsr=on:cond=on:nm=0:sac=on:sd=3:sos=on:ss=axioms:st=2.0:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/47Mi)
% 1.99/0.64 % (5631)Instruction limit reached!
% 1.99/0.64 % (5631)------------------------------
% 1.99/0.64 % (5631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.64 % (5631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.64 % (5631)Termination reason: Unknown
% 1.99/0.64 % (5631)Termination phase: Saturation
% 1.99/0.64
% 1.99/0.64 % (5631)Memory used [KB]: 6524
% 1.99/0.64 % (5631)Time elapsed: 0.212 s
% 1.99/0.64 % (5631)Instructions burned: 50 (million)
% 1.99/0.64 % (5631)------------------------------
% 1.99/0.64 % (5631)------------------------------
% 1.99/0.66 % (5646)Instruction limit reached!
% 1.99/0.66 % (5646)------------------------------
% 1.99/0.66 % (5646)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.66 % (5646)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.66 % (5646)Termination reason: Unknown
% 1.99/0.66 % (5646)Termination phase: Saturation
% 1.99/0.66
% 1.99/0.66 % (5646)Memory used [KB]: 6140
% 1.99/0.66 % (5646)Time elapsed: 0.032 s
% 1.99/0.66 % (5646)Instructions burned: 25 (million)
% 1.99/0.66 % (5646)------------------------------
% 1.99/0.66 % (5646)------------------------------
% 1.99/0.67 % (5648)lrs+10_1:1_acc=model:br=off:ins=1:newcnf=on:nwc=5.0:s2a=on:sac=on:sp=frequency:to=lpo:urr=on:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.99/0.67 % (5649)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=76:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/76Mi)
% 1.99/0.67 % (5650)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=58:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/58Mi)
% 1.99/0.67 % (5647)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=148:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/148Mi)
% 1.99/0.68 % (5651)lrs+10_1:1_thi=all:thigen=on:i=96:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/96Mi)
% 1.99/0.68 % (5652)lrs+10_1:3_add=large:afr=on:anc=all_dependent:avsq=on:avsqr=21,226:awrs=decay:awrsf=47:br=off:bsd=on:canc=cautious:cond=fast:fd=preordered:fsd=on:fsr=off:gs=on:gve=force:ins=1:lma=on:s2agt=4:s2at=1.9:sas=z3:slsq=on:slsqc=1:slsqr=13,121:sp=reverse_arity:tha=some:to=lpo:uace=off:uhcvi=on:updr=off:urr=ec_only:i=108:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/108Mi)
% 1.99/0.69 % (5654)lrs+1011_4:1_abs=on:afp=20:amm=off:anc=all:bd=off:br=off:canc=force:s2a=on:sas=z3:slsq=on:urr=on:i=494:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/494Mi)
% 1.99/0.69 % (5657)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/488Mi)
% 1.99/0.69 % (5653)lrs+10_1:1_plsq=on:plsqc=1:plsqr=32,1:tha=off:thi=overlap:i=463:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/463Mi)
% 1.99/0.69 % (5655)lrs+10_1:1_newcnf=on:sas=z3:tgt=ground:tha=off:i=223:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/223Mi)
% 2.12/0.70 % (5645)Instruction limit reached!
% 2.12/0.70 % (5645)------------------------------
% 2.12/0.70 % (5645)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.70 % (5645)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.70 % (5645)Termination reason: Unknown
% 2.12/0.70 % (5645)Termination phase: Saturation
% 2.12/0.70
% 2.12/0.70 % (5645)Memory used [KB]: 6140
% 2.12/0.70 % (5645)Time elapsed: 0.018 s
% 2.12/0.70 % (5645)Instructions burned: 48 (million)
% 2.12/0.70 % (5645)------------------------------
% 2.12/0.70 % (5645)------------------------------
% 2.12/0.71 % (5661)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=493:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/493Mi)
% 2.12/0.71 % (5659)lrs+1011_1:1_br=off:fde=none:norm_ineq=on:nwc=10.0:sas=z3:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:i=160:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/160Mi)
% 2.12/0.71 % (5658)lrs+1010_5:1_aer=off:norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=150:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/150Mi)
% 2.12/0.72 % (5656)lrs+1002_1:1_av=off:br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=343:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/343Mi)
% 2.12/0.72 % (5663)lrs+10_1:1_amm=sco:norm_ineq=on:nwc=3.0:plsq=on:plsqc=2:plsqr=32,1:sas=z3:sp=const_min:tha=off:to=lpo:i=146:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/146Mi)
% 2.12/0.73 % (5660)dis+10_1:1_bd=off:fde=unused:gsp=on:ins=1:norm_ineq=on:sas=z3:sos=all:tha=off:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/370Mi)
% 2.12/0.73 % (5665)dis+1010_1:1_s2a=on:sp=frequency:to=lpo:i=274:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/274Mi)
% 2.12/0.73 % (5662)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=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/81Mi)
% 2.12/0.73 % (5664)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=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.12/0.74 % (5666)lrs+1002_1:1_nm=0:sd=1:ss=axioms:urr=ec_only:i=330:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/330Mi)
% 2.12/0.75 % (5668)lrs+30_1:64_flr=on:sp=frequency:to=lpo:i=213:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/213Mi)
% 2.12/0.75 % (5669)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=374:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/374Mi)
% 2.12/0.76 % (5667)lrs+11_1:1_erd=off:fs=off:fsr=off:norm_ineq=on:nwc=10.0:s2a=on:s2at=3.0:sas=z3:tha=some:i=294:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/294Mi)
% 2.20/0.77 % (5671)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/488Mi)
% 2.20/0.77 % (5672)lrs+10_1:1_abs=on:ev=cautious:nwc=10.0:s2a=on:sas=z3:tha=off:thi=all:thigen=on:i=230:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/230Mi)
% 2.20/0.78 % (5673)lrs+1010_1:1_bsr=unit_only:cond=on:flr=on:newcnf=on:nwc=10.0:sas=z3:to=lpo:i=360:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/360Mi)
% 2.20/0.78 % (5650)Instruction limit reached!
% 2.20/0.78 % (5650)------------------------------
% 2.20/0.78 % (5650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.78 % (5650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.78 % (5650)Termination reason: Unknown
% 2.20/0.78 % (5650)Termination phase: Saturation
% 2.20/0.78
% 2.20/0.78 % (5650)Memory used [KB]: 7164
% 2.20/0.78 % (5650)Time elapsed: 0.208 s
% 2.20/0.78 % (5650)Instructions burned: 58 (million)
% 2.20/0.78 % (5650)------------------------------
% 2.20/0.78 % (5650)------------------------------
% 2.20/0.79 % (5674)dis+31_1:1_lcm=reverse:norm_ineq=on:nwc=10.0:sas=z3:tha=off:urr=on:i=382:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/382Mi)
% 2.20/0.79 % (5670)ins+10_1:32_fd=off:fs=off:fsr=off:igrr=4/7:igwr=on:urr=ec_only:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/500Mi)
% 2.27/0.81 % (5649)Instruction limit reached!
% 2.27/0.81 % (5649)------------------------------
% 2.27/0.81 % (5649)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.81 % (5649)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.81 % (5649)Termination reason: Unknown
% 2.27/0.81 % (5649)Termination phase: Saturation
% 2.27/0.81
% 2.27/0.81 % (5649)Memory used [KB]: 6652
% 2.27/0.81 % (5649)Time elapsed: 0.239 s
% 2.27/0.81 % (5649)Instructions burned: 76 (million)
% 2.27/0.81 % (5649)------------------------------
% 2.27/0.81 % (5649)------------------------------
% 2.37/0.84 % (5652)Instruction limit reached!
% 2.37/0.84 % (5652)------------------------------
% 2.37/0.84 % (5652)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.84 % (5652)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.84 % (5652)Termination reason: Unknown
% 2.37/0.84 % (5652)Termination phase: Saturation
% 2.37/0.84
% 2.37/0.84 % (5652)Memory used [KB]: 6524
% 2.37/0.84 % (5652)Time elapsed: 0.046 s
% 2.37/0.84 % (5652)Instructions burned: 109 (million)
% 2.37/0.84 % (5652)------------------------------
% 2.37/0.84 % (5652)------------------------------
% 2.37/0.84 % (5651)Instruction limit reached!
% 2.37/0.84 % (5651)------------------------------
% 2.37/0.84 % (5651)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.84 % (5651)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.84 % (5651)Termination reason: Unknown
% 2.37/0.84 % (5651)Termination phase: Saturation
% 2.37/0.84
% 2.37/0.84 % (5651)Memory used [KB]: 6268
% 2.37/0.84 % (5651)Time elapsed: 0.248 s
% 2.37/0.84 % (5651)Instructions burned: 98 (million)
% 2.37/0.84 % (5651)------------------------------
% 2.37/0.84 % (5651)------------------------------
% 2.37/0.85 % (5648)Instruction limit reached!
% 2.37/0.85 % (5648)------------------------------
% 2.37/0.85 % (5648)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.85 % (5648)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.85 % (5648)Termination reason: Unknown
% 2.37/0.85 % (5648)Termination phase: Saturation
% 2.37/0.85
% 2.37/0.85 % (5648)Memory used [KB]: 6652
% 2.37/0.85 % (5648)Time elapsed: 0.256 s
% 2.37/0.85 % (5648)Instructions burned: 101 (million)
% 2.37/0.85 % (5648)------------------------------
% 2.37/0.85 % (5648)------------------------------
% 2.37/0.87 % (5662)Instruction limit reached!
% 2.37/0.87 % (5662)------------------------------
% 2.37/0.87 % (5662)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.87 % (5662)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.87 % (5662)Termination reason: Unknown
% 2.37/0.87 % (5662)Termination phase: Saturation
% 2.37/0.87
% 2.37/0.87 % (5662)Memory used [KB]: 6780
% 2.37/0.87 % (5662)Time elapsed: 0.233 s
% 2.37/0.87 % (5662)Instructions burned: 81 (million)
% 2.37/0.87 % (5662)------------------------------
% 2.37/0.87 % (5662)------------------------------
% 2.37/0.87 % (5675)lrs+10_1:1_av=off:fde=none:lwlo=on:nwc=10.0:i=256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/256Mi)
% 2.37/0.90 % (5647)Instruction limit reached!
% 2.37/0.90 % (5647)------------------------------
% 2.37/0.90 % (5647)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.90 % (5647)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.90 % (5647)Termination reason: Unknown
% 2.37/0.90 % (5647)Termination phase: Saturation
% 2.37/0.90
% 2.37/0.90 % (5647)Memory used [KB]: 6908
% 2.37/0.90 % (5647)Time elapsed: 0.341 s
% 2.37/0.90 % (5647)Instructions burned: 148 (million)
% 2.37/0.90 % (5647)------------------------------
% 2.37/0.90 % (5647)------------------------------
% 2.37/0.92 % (5658)Instruction limit reached!
% 2.37/0.92 % (5658)------------------------------
% 2.37/0.92 % (5658)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.92 % (5658)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.92 % (5658)Termination reason: Unknown
% 2.37/0.92 % (5658)Termination phase: Saturation
% 2.37/0.92
% 2.37/0.92 % (5658)Memory used [KB]: 1791
% 2.37/0.92 % (5658)Time elapsed: 0.297 s
% 2.37/0.92 % (5658)Instructions burned: 152 (million)
% 2.37/0.92 % (5658)------------------------------
% 2.37/0.92 % (5658)------------------------------
% 2.87/0.93 % (5676)dis+10_1:1_sgt=16:sos=on:spb=goal:ss=axioms:i=1006:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1006Mi)
% 2.87/0.93 % (5663)Instruction limit reached!
% 2.87/0.93 % (5663)------------------------------
% 2.87/0.93 % (5663)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.93 % (5663)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.93 % (5663)Termination reason: Unknown
% 2.87/0.93 % (5663)Termination phase: Saturation
% 2.87/0.93
% 2.87/0.93 % (5663)Memory used [KB]: 1918
% 2.87/0.93 % (5663)Time elapsed: 0.316 s
% 2.87/0.93 % (5663)Instructions burned: 147 (million)
% 2.87/0.93 % (5663)------------------------------
% 2.87/0.93 % (5663)------------------------------
% 2.87/0.94 % (5677)dis+1004_1:3_av=off:bs=on:plsq=on:i=3721:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3721Mi)
% 2.87/0.94 % (5659)Instruction limit reached!
% 2.87/0.94 % (5659)------------------------------
% 2.87/0.94 % (5659)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.94 % (5659)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.94 % (5659)Termination reason: Unknown
% 2.87/0.94 % (5659)Termination phase: Saturation
% 2.87/0.94
% 2.87/0.94 % (5659)Memory used [KB]: 1918
% 2.87/0.94 % (5659)Time elapsed: 0.319 s
% 2.87/0.94 % (5659)Instructions burned: 161 (million)
% 2.87/0.94 % (5659)------------------------------
% 2.87/0.94 % (5659)------------------------------
% 2.87/0.98 % (5678)ott+10_1:1_bd=preordered:drc=off:fd=preordered:nwc=5.0:sp=reverse_frequency:i=501:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/501Mi)
% 2.87/0.99 % (5655)Instruction limit reached!
% 2.87/0.99 % (5655)------------------------------
% 2.87/0.99 % (5655)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.99 % (5655)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.99 % (5655)Termination reason: Unknown
% 2.87/0.99 % (5655)Termination phase: Saturation
% 2.87/0.99
% 2.87/0.99 % (5655)Memory used [KB]: 2046
% 2.87/0.99 % (5655)Time elapsed: 0.399 s
% 2.87/0.99 % (5655)Instructions burned: 224 (million)
% 2.87/0.99 % (5655)------------------------------
% 2.87/0.99 % (5655)------------------------------
% 2.87/0.99 % (5679)ott+1011_1:1_anc=all:avsq=on:avsqc=1:bsr=unit_only:drc=off:erd=off:fs=off:fsr=off:nwc=3.0:s2a=on:s2at=1.5:sac=on:urr=on:i=1705:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1705Mi)
% 3.17/0.99 % (5681)dis+10_1:64_s2a=on:s2agt=16:slsq=on:slsqc=1:slsqr=1,1:i=1683:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1683Mi)
% 3.17/1.01 % (5680)lrs+10_1:1_av=off:sd=10:sos=all:ss=axioms:st=4.0:i=2416:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2416Mi)
% 3.17/1.03 % (5682)dis+1011_1:1_av=off:fsr=off:nm=6:plsq=on:s2a=on:s2at=3.0:slsq=on:slsqc=0:slsqr=1,8:sp=frequency:to=lpo:i=330:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/330Mi)
% 3.17/1.06 % (5683)lrs+10_1:1_afp=1:sac=on:sas=z3:tha=off:i=113:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/113Mi)
% 3.18/1.08 % (5684)lrs+10_1:1_ep=RS:fsr=off:sos=all:i=3217:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/3217Mi)
% 3.18/1.08 % (5685)ott+10_6715:511922_awrs=decay:awrsf=1:bd=preordered:bs=on:drc=off:fd=preordered:nwc=5.0:sp=frequency:spb=goal_then_units:uwa=interpreted_only:i=3528:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/3528Mi)
% 5.78/1.09 % (5672)Instruction limit reached!
% 5.78/1.09 % (5672)------------------------------
% 5.78/1.09 % (5672)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.78/1.09 % (5672)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.78/1.09 % (5672)Termination reason: Unknown
% 5.78/1.09 % (5672)Termination phase: Saturation
% 5.78/1.09
% 5.78/1.09 % (5672)Memory used [KB]: 2046
% 5.78/1.09 % (5672)Time elapsed: 0.399 s
% 5.78/1.09 % (5672)Instructions burned: 232 (million)
% 5.78/1.09 % (5672)------------------------------
% 5.78/1.09 % (5672)------------------------------
% 5.78/1.10 % (5664)Instruction limit reached!
% 5.78/1.10 % (5664)------------------------------
% 5.78/1.10 % (5664)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.78/1.10 % (5664)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.78/1.10 % (5664)Termination reason: Unknown
% 5.78/1.10 % (5664)Termination phase: Saturation
% 5.78/1.10
% 5.78/1.10 % (5664)Memory used [KB]: 8187
% 5.78/1.10 % (5664)Time elapsed: 0.452 s
% 5.78/1.10 % (5664)Instructions burned: 212 (million)
% 5.78/1.10 % (5664)------------------------------
% 5.78/1.10 % (5664)------------------------------
% 6.03/1.13 % (5668)Instruction limit reached!
% 6.03/1.13 % (5668)------------------------------
% 6.03/1.13 % (5668)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.03/1.13 % (5668)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.03/1.13 % (5668)Termination reason: Unknown
% 6.03/1.13 % (5668)Termination phase: Saturation
% 6.03/1.13
% 6.03/1.13 % (5668)Memory used [KB]: 8955
% 6.03/1.13 % (5668)Time elapsed: 0.473 s
% 6.03/1.13 % (5668)Instructions burned: 213 (million)
% 6.03/1.13 % (5668)------------------------------
% 6.03/1.13 % (5668)------------------------------
% 6.03/1.13 % (5686)lrs+1011_1:6_aac=none:afr=on:bce=on:bsr=unit_only:canc=cautious:cond=fast:fde=unused:newcnf=on:nwc=3.0:s2a=on:s2agt=40:sas=z3:sfv=off:sp=weighted_frequency:spb=units:tha=off:to=lpo:i=2304:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/2304Mi)
% 6.27/1.16 % (5667)Instruction limit reached!
% 6.27/1.16 % (5667)------------------------------
% 6.27/1.16 % (5667)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.27/1.16 % (5667)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.27/1.16 % (5667)Termination reason: Unknown
% 6.27/1.16 % (5667)Termination phase: Saturation
% 6.27/1.16
% 6.27/1.16 % (5667)Memory used [KB]: 2174
% 6.27/1.16 % (5667)Time elapsed: 0.530 s
% 6.27/1.16 % (5667)Instructions burned: 295 (million)
% 6.27/1.16 % (5667)------------------------------
% 6.27/1.16 % (5667)------------------------------
% 6.27/1.21 % (5683)Instruction limit reached!
% 6.27/1.21 % (5683)------------------------------
% 6.27/1.21 % (5683)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.27/1.21 % (5683)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.27/1.21 % (5683)Termination reason: Unknown
% 6.27/1.21 % (5683)Termination phase: Saturation
% 6.27/1.21
% 6.27/1.21 % (5683)Memory used [KB]: 1663
% 6.27/1.21 % (5683)Time elapsed: 0.043 s
% 6.27/1.21 % (5683)Instructions burned: 117 (million)
% 6.27/1.21 % (5683)------------------------------
% 6.27/1.21 % (5683)------------------------------
% 6.27/1.21 % (5688)lrs+10_1:32_newcnf=on:sas=z3:tgt=ground:tha=off:i=238:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/238Mi)
% 6.27/1.22 % (5665)Instruction limit reached!
% 6.27/1.22 % (5665)------------------------------
% 6.27/1.22 % (5665)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.27/1.22 % (5665)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.27/1.22 % (5665)Termination reason: Unknown
% 6.27/1.22 % (5665)Termination phase: Saturation
% 6.27/1.22
% 6.27/1.22 % (5665)Memory used [KB]: 8315
% 6.27/1.22 % (5665)Time elapsed: 0.603 s
% 6.27/1.22 % (5665)Instructions burned: 274 (million)
% 6.27/1.22 % (5665)------------------------------
% 6.27/1.22 % (5665)------------------------------
% 6.89/1.22 % (5674)Instruction limit reached!
% 6.89/1.22 % (5674)------------------------------
% 6.89/1.22 % (5674)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.89/1.23 % (5674)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.89/1.23 % (5674)Termination reason: Unknown
% 6.89/1.23 % (5674)Termination phase: Saturation
% 6.89/1.23
% 6.89/1.23 % (5674)Memory used [KB]: 2814
% 6.89/1.23 % (5674)Time elapsed: 0.449 s
% 6.89/1.23 % (5674)Instructions burned: 382 (million)
% 6.89/1.23 % (5674)------------------------------
% 6.89/1.23 % (5674)------------------------------
% 6.89/1.23 % (5660)Instruction limit reached!
% 6.89/1.23 % (5660)------------------------------
% 6.89/1.23 % (5660)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.89/1.23 % (5660)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.89/1.23 % (5660)Termination reason: Unknown
% 6.89/1.23 % (5660)Termination phase: Saturation
% 6.89/1.23
% 6.89/1.23 % (5660)Memory used [KB]: 2430
% 6.89/1.23 % (5660)Time elapsed: 0.586 s
% 6.89/1.23 % (5660)Instructions burned: 370 (million)
% 6.89/1.23 % (5660)------------------------------
% 6.89/1.23 % (5660)------------------------------
% 6.89/1.23 % (5687)dis+1011_1:1_abs=on:bd=off:flr=on:nm=0:s2at=3.0:sas=z3:sfv=off:slsq=on:slsqc=2:slsqr=46,31:sp=const_frequency:tgt=ground:tha=some:thi=overlap:thitd=on:thsq=on:thsqc=32:thsqd=32:thsqr=7,4:i=3780:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/3780Mi)
% 6.89/1.24 % (5673)Instruction limit reached!
% 6.89/1.24 % (5673)------------------------------
% 6.89/1.24 % (5673)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.89/1.25 % (5666)Instruction limit reached!
% 6.89/1.25 % (5666)------------------------------
% 6.89/1.25 % (5666)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.89/1.25 % (5666)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.89/1.25 % (5666)Termination reason: Unknown
% 6.89/1.25 % (5666)Termination phase: Saturation
% 6.89/1.25
% 6.89/1.25 % (5666)Memory used [KB]: 8955
% 6.89/1.25 % (5666)Time elapsed: 0.603 s
% 6.89/1.25 % (5666)Instructions burned: 330 (million)
% 6.89/1.25 % (5666)------------------------------
% 6.89/1.25 % (5666)------------------------------
% 6.89/1.26 % (5673)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.89/1.26 % (5673)Termination reason: Unknown
% 6.89/1.26 % (5673)Termination phase: Saturation
% 6.89/1.26
% 6.89/1.26 % (5673)Memory used [KB]: 2046
% 6.89/1.26 % (5673)Time elapsed: 0.529 s
% 6.89/1.26 % (5673)Instructions burned: 360 (million)
% 6.89/1.26 % (5673)------------------------------
% 6.89/1.26 % (5673)------------------------------
% 6.89/1.27 % (5689)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=656:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/656Mi)
% 6.89/1.28 % (5656)Instruction limit reached!
% 6.89/1.28 % (5656)------------------------------
% 6.89/1.28 % (5656)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.89/1.28 % (5656)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.89/1.28 % (5656)Termination reason: Unknown
% 6.89/1.28 % (5656)Termination phase: Saturation
% 6.89/1.28
% 6.89/1.28 % (5656)Memory used [KB]: 1918
% 6.89/1.28 % (5656)Time elapsed: 0.687 s
% 6.89/1.28 % (5656)Instructions burned: 344 (million)
% 6.89/1.28 % (5656)------------------------------
% 6.89/1.28 % (5656)------------------------------
% 7.25/1.29 % (5669)Instruction limit reached!
% 7.25/1.29 % (5669)------------------------------
% 7.25/1.29 % (5669)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.25/1.29 % (5690)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=485:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/485Mi)
% 7.25/1.30 % (5675)Instruction limit reached!
% 7.25/1.30 % (5675)------------------------------
% 7.25/1.30 % (5675)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.25/1.30 % (5675)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.25/1.30 % (5675)Termination reason: Unknown
% 7.25/1.30 % (5675)Termination phase: Saturation
% 7.25/1.30
% 7.25/1.30 % (5675)Memory used [KB]: 3709
% 7.25/1.30 % (5675)Time elapsed: 0.585 s
% 7.25/1.30 % (5675)Instructions burned: 257 (million)
% 7.25/1.30 % (5675)------------------------------
% 7.25/1.30 % (5675)------------------------------
% 7.25/1.30 % (5657)Instruction limit reached!
% 7.25/1.30 % (5657)------------------------------
% 7.25/1.30 % (5657)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.25/1.30 % (5657)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.25/1.30 % (5657)Termination reason: Unknown
% 7.25/1.30 % (5657)Termination phase: Saturation
% 7.25/1.30
% 7.25/1.30 % (5657)Memory used [KB]: 6652
% 7.25/1.30 % (5657)Time elapsed: 0.639 s
% 7.25/1.30 % (5657)Instructions burned: 488 (million)
% 7.25/1.30 % (5657)------------------------------
% 7.25/1.30 % (5657)------------------------------
% 7.25/1.31 % (5669)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.25/1.31 % (5669)Termination reason: Unknown
% 7.25/1.31 % (5669)Termination phase: Saturation
% 7.25/1.31
% 7.25/1.31 % (5669)Memory used [KB]: 3454
% 7.25/1.31 % (5669)Time elapsed: 0.635 s
% 7.25/1.31 % (5669)Instructions burned: 374 (million)
% 7.25/1.31 % (5669)------------------------------
% 7.25/1.31 % (5669)------------------------------
% 7.25/1.31 % (5691)lrs+1010_1:1_aac=none:abs=on:bd=off:fd=off:nm=0:sas=z3:sims=off:tha=off:to=lpo:i=1302:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/1302Mi)
% 7.25/1.33 % (5654)Instruction limit reached!
% 7.25/1.33 % (5654)------------------------------
% 7.25/1.33 % (5654)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.25/1.33 % (5654)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.25/1.33 % (5654)Termination reason: Unknown
% 7.25/1.33 % (5654)Termination phase: Saturation
% 7.25/1.33
% 7.25/1.33 % (5654)Memory used [KB]: 4349
% 7.25/1.33 % (5654)Time elapsed: 0.739 s
% 7.25/1.33 % (5654)Instructions burned: 494 (million)
% 7.25/1.33 % (5654)------------------------------
% 7.25/1.33 % (5654)------------------------------
% 7.25/1.34 % (5661)Refutation not found, non-redundant clauses discarded% (5661)------------------------------
% 7.25/1.34 % (5661)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.25/1.34 % (5661)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.25/1.34 % (5661)Termination reason: Refutation not found, non-redundant clauses discarded
% 7.25/1.34
% 7.25/1.34 % (5661)Memory used [KB]: 2686
% 7.25/1.34 % (5661)Time elapsed: 0.716 s
% 7.25/1.34 % (5661)Instructions burned: 459 (million)
% 7.25/1.34 % (5661)------------------------------
% 7.25/1.34 % (5661)------------------------------
% 7.25/1.35 % (5692)lrs+1011_4:1_abs=on:afp=20:amm=off:anc=all:bd=off:br=off:canc=force:s2a=on:sas=z3:slsq=on:urr=on:i=980:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/980Mi)
% 7.61/1.36 % (5693)ins+10_1:32_fd=off:fs=off:fsr=off:igrr=4/7:igwr=on:urr=ec_only:i=591:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/591Mi)
% 7.61/1.36 % (5694)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=638:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/638Mi)
% 7.66/1.39 % (5696)lrs+10_1:1024_drc=off:fde=none:gve=force:nm=4:norm_ineq=on:sas=z3:sos=all:sp=const_min:spb=non_intro:to=lpo:uwa=one_side_constant:i=691:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/691Mi)
% 7.81/1.42 % (5695)dis+1010_137062:920759_aac=none:abs=on:amm=sco:anc=none:asg=cautious:atotf=0.5:avsq=on:avsqc=2:avsqr=383,440:bce=on:bsd=on:erd=off:fde=unused:gs=on:gve=cautious:newcnf=on:nwc=3.3:sac=on:sas=z3:sfv=off:skr=on:spb=goal:tgt=ground:thsq=on:thsqc=128:thsql=off:uwa=all:i=947:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/947Mi)
% 7.81/1.42 % (5697)lrs+10_1:128_asg=cautious:drc=off:fde=none:gve=force:norm_ineq=on:sas=z3:sos=all:sp=reverse_arity:spb=intro:ss=axioms:to=lpo:uwa=one_side_constant:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/370Mi)
% 7.81/1.43 % (5699)lrs+1011_1:1_bce=on:drc=off:erd=off:gve=force:ins=2:norm_ineq=on:sac=on:sp=frequency:tha=some:urr=on:i=3058:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/3058Mi)
% 7.93/1.44 % (5700)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=1198:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/1198Mi)
% 7.93/1.46 % (5698)dis+10_1:1_bd=off:fde=unused:gsp=on:ins=1:norm_ineq=on:sas=z3:sos=all:tha=off:i=361:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/361Mi)
% 7.93/1.46 % (5701)lrs+11_1:1_avsq=on:avsql=on:avsqr=1,16:norm_ineq=on:nwc=10.0:plsq=on:sas=z3:tha=off:urr=on:i=2501:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/2501Mi)
% 7.93/1.47 % (5688)Instruction limit reached!
% 7.93/1.47 % (5688)------------------------------
% 7.93/1.47 % (5688)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.93/1.47 % (5688)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.93/1.47 % (5688)Termination reason: Unknown
% 7.93/1.47 % (5688)Termination phase: Saturation
% 7.93/1.47
% 7.93/1.47 % (5688)Memory used [KB]: 2046
% 7.93/1.47 % (5688)Time elapsed: 0.299 s
% 7.93/1.47 % (5688)Instructions burned: 239 (million)
% 7.93/1.47 % (5688)------------------------------
% 7.93/1.47 % (5688)------------------------------
% 7.93/1.48 % (5653)Instruction limit reached!
% 7.93/1.48 % (5653)------------------------------
% 7.93/1.48 % (5653)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.93/1.48 % (5653)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.93/1.48 % (5653)Termination reason: Unknown
% 7.93/1.48 % (5653)Termination phase: Saturation
% 7.93/1.48
% 7.93/1.48 % (5653)Memory used [KB]: 10106
% 7.93/1.48 % (5653)Time elapsed: 0.873 s
% 7.93/1.48 % (5653)Instructions burned: 464 (million)
% 7.93/1.48 % (5653)------------------------------
% 7.93/1.48 % (5653)------------------------------
% 7.93/1.50 % (5702)lrs+10_1:1_av=off:fde=none:lwlo=on:nwc=10.0:i=256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/256Mi)
% 8.38/1.56 % (5682)Instruction limit reached!
% 8.38/1.56 % (5682)------------------------------
% 8.38/1.56 % (5682)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.38/1.56 % (5682)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.38/1.56 % (5682)Termination reason: Unknown
% 8.38/1.56 % (5682)Termination phase: Saturation
% 8.38/1.56
% 8.38/1.56 % (5682)Memory used [KB]: 4989
% 8.38/1.56 % (5682)Time elapsed: 0.604 s
% 8.38/1.56 % (5682)Instructions burned: 330 (million)
% 8.38/1.56 % (5682)------------------------------
% 8.38/1.56 % (5682)------------------------------
% 8.38/1.57 % (5671)Instruction limit reached!
% 8.38/1.57 % (5671)------------------------------
% 8.38/1.57 % (5671)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.38/1.57 % (5671)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.38/1.57 % (5671)Termination reason: Unknown
% 8.38/1.57 % (5671)Termination phase: Saturation
% 8.38/1.57
% 8.38/1.57 % (5671)Memory used [KB]: 6652
% 8.38/1.57 % (5671)Time elapsed: 0.903 s
% 8.38/1.57 % (5671)Instructions burned: 490 (million)
% 8.38/1.57 % (5671)------------------------------
% 8.38/1.57 % (5671)------------------------------
% 8.58/1.61 % (5704)ott+11_1:1_aac=none:amm=off:bd=off:fsr=off:sas=z3:sos=all:sp=const_frequency:tha=off:i=1168:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/1168Mi)
% 8.58/1.62 % (5670)Instruction limit reached!
% 8.58/1.62 % (5670)------------------------------
% 8.58/1.62 % (5670)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.58/1.62 % (5670)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.58/1.62 % (5670)Termination reason: Unknown
% 8.58/1.62 % (5670)Termination phase: Saturation
% 8.58/1.62
% 8.58/1.62 % (5670)Memory used [KB]: 9850
% 8.58/1.62 % (5670)Time elapsed: 0.243 s
% 8.58/1.62 % (5670)Instructions burned: 501 (million)
% 8.58/1.62 % (5670)------------------------------
% 8.58/1.62 % (5670)------------------------------
% 8.58/1.63 % (5703)dis+1011_1:1_bd=preordered:sd=2:sos=all:ss=axioms:i=217:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/217Mi)
% 8.58/1.64 % (5678)Instruction limit reached!
% 8.58/1.64 % (5678)------------------------------
% 8.58/1.64 % (5678)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.58/1.64 % (5678)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.58/1.64 % (5678)Termination reason: Unknown
% 8.58/1.64 % (5678)Termination phase: Saturation
% 8.58/1.64
% 8.58/1.64 % (5678)Memory used [KB]: 7419
% 8.58/1.64 % (5678)Time elapsed: 0.762 s
% 8.58/1.64 % (5678)Instructions burned: 502 (million)
% 8.58/1.64 % (5678)------------------------------
% 8.58/1.64 % (5678)------------------------------
% 10.55/1.70 % (5705)dis+10_1:1_sgt=16:sos=on:spb=goal:ss=axioms:i=1006:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/1006Mi)
% 10.55/1.72 % (5706)dis+1004_1:3_av=off:bs=on:plsq=on:i=4966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/4966Mi)
% 11.01/1.77 % (5707)ott+10_18762:894869_awrs=decay:awrsf=8:bsd=on:drc=off:fsr=off:irw=on:newcnf=on:slsq=on:slsqc=1:slsqr=76,61:i=4835:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/4835Mi)
% 11.01/1.79 % (5708)ott+0_1:128_afr=on:amm=sco:anc=none:awrs=converge:awrsf=110:bsd=on:cond=fast:etr=on:fde=unused:flr=on:fsd=on:gve=force:irw=on:norm_ineq=on:sas=z3:sos=all:spb=units:tha=off:thi=strong:to=lpo:uwa=one_side_interpreted:i=3932:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/3932Mi)
% 11.60/1.84 % (5702)Instruction limit reached!
% 11.60/1.84 % (5702)------------------------------
% 11.60/1.84 % (5702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.60/1.84 % (5702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.60/1.84 % (5702)Termination reason: Unknown
% 11.60/1.84 % (5702)Termination phase: Saturation
% 11.60/1.84
% 11.60/1.84 % (5702)Memory used [KB]: 3837
% 11.60/1.84 % (5702)Time elapsed: 0.447 s
% 11.60/1.84 % (5702)Instructions burned: 258 (million)
% 11.60/1.84 % (5702)------------------------------
% 11.60/1.84 % (5702)------------------------------
% 12.06/1.92 % (5697)Instruction limit reached!
% 12.06/1.92 % (5697)------------------------------
% 12.06/1.92 % (5697)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.06/1.92 % (5697)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.06/1.92 % (5697)Termination reason: Unknown
% 12.06/1.92 % (5697)Termination phase: Saturation
% 12.06/1.92
% 12.06/1.92 % (5697)Memory used [KB]: 3070
% 12.06/1.92 % (5697)Time elapsed: 0.592 s
% 12.06/1.92 % (5697)Instructions burned: 372 (million)
% 12.06/1.92 % (5697)------------------------------
% 12.06/1.92 % (5697)------------------------------
% 12.06/1.92 % (5709)lrs+1011_1:6_aac=none:afr=on:bce=on:bsr=unit_only:canc=cautious:cond=fast:fde=unused:newcnf=on:nwc=3.0:s2a=on:s2agt=40:sas=z3:sfv=off:sp=weighted_frequency:spb=units:tha=off:to=lpo:i=1742:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/1742Mi)
% 12.69/1.97 % (5698)Instruction limit reached!
% 12.69/1.97 % (5698)------------------------------
% 12.69/1.97 % (5698)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.69/1.97 % (5698)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.69/1.97 % (5698)Termination reason: Unknown
% 12.69/1.97 % (5698)Termination phase: Saturation
% 12.69/1.97
% 12.69/1.97 % (5698)Memory used [KB]: 2558
% 12.69/1.97 % (5698)Time elapsed: 0.626 s
% 12.69/1.97 % (5698)Instructions burned: 364 (million)
% 12.69/1.97 % (5698)------------------------------
% 12.69/1.97 % (5698)------------------------------
% 12.87/1.99 % (5703)Instruction limit reached!
% 12.87/1.99 % (5703)------------------------------
% 12.87/1.99 % (5703)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.87/1.99 % (5703)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.87/1.99 % (5703)Termination reason: Unknown
% 12.87/1.99 % (5703)Termination phase: Saturation
% 12.87/1.99
% 12.87/1.99 % (5703)Memory used [KB]: 7803
% 12.87/1.99 % (5703)Time elapsed: 0.477 s
% 12.87/1.99 % (5703)Instructions burned: 217 (million)
% 12.87/1.99 % (5703)------------------------------
% 12.87/1.99 % (5703)------------------------------
% 12.87/1.99 % (5690)Instruction limit reached!
% 12.87/1.99 % (5690)------------------------------
% 12.87/1.99 % (5690)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.87/1.99 % (5690)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.87/1.99 % (5690)Termination reason: Unknown
% 12.87/1.99 % (5690)Termination phase: Saturation
% 12.87/1.99
% 12.87/1.99 % (5690)Memory used [KB]: 3709
% 12.87/1.99 % (5690)Time elapsed: 0.799 s
% 12.87/1.99 % (5690)Instructions burned: 487 (million)
% 12.87/1.99 % (5690)------------------------------
% 12.87/1.99 % (5690)------------------------------
% 13.18/2.04 % (5710)dis+1011_1:1_abs=on:bd=off:flr=on:nm=0:s2at=3.0:sas=z3:sfv=off:slsq=on:slsqc=2:slsqr=46,31:sp=const_frequency:tgt=ground:tha=some:thi=overlap:thitd=on:thsq=on:thsqc=32:thsqd=32:thsqr=7,4:i=3843:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/3843Mi)
% 13.79/2.12 % (5711)dis+1010_137062:920759_aac=none:abs=on:amm=sco:anc=none:asg=cautious:atotf=0.5:avsq=on:avsqc=2:avsqr=383,440:bce=on:bsd=on:erd=off:fde=unused:gs=on:gve=cautious:newcnf=on:nwc=3.3:sac=on:sas=z3:sfv=off:skr=on:spb=goal:tgt=ground:thsq=on:thsqc=128:thsql=off:uwa=all:i=947:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/947Mi)
% 13.79/2.13 % (5712)dis+10_1:14_awrs=converge:sp=unary_first:tgt=ground:i=3622:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/3622Mi)
% 13.79/2.13 % (5713)lrs+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=4725:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/4725Mi)
% 14.50/2.20 % (5689)Instruction limit reached!
% 14.50/2.20 % (5689)------------------------------
% 14.50/2.20 % (5689)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.50/2.22 % (5689)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.50/2.22 % (5689)Termination reason: Unknown
% 14.50/2.22 % (5689)Termination phase: Saturation
% 14.50/2.22
% 14.50/2.22 % (5689)Memory used [KB]: 4861
% 14.50/2.22 % (5689)Time elapsed: 1.044 s
% 14.50/2.22 % (5689)Instructions burned: 657 (million)
% 14.50/2.22 % (5689)------------------------------
% 14.50/2.22 % (5689)------------------------------
% 15.40/2.32 % (5696)Instruction limit reached!
% 15.40/2.32 % (5696)------------------------------
% 15.40/2.32 % (5696)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.65/2.33 % (5693)Instruction limit reached!
% 15.65/2.33 % (5693)------------------------------
% 15.65/2.33 % (5693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.65/2.34 % (5696)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.65/2.34 % (5696)Termination reason: Unknown
% 15.65/2.34 % (5696)Termination phase: Saturation
% 15.65/2.34
% 15.65/2.34 % (5696)Memory used [KB]: 4349
% 15.65/2.34 % (5696)Time elapsed: 1.041 s
% 15.65/2.34 % (5696)Instructions burned: 695 (million)
% 15.65/2.34 % (5696)------------------------------
% 15.65/2.34 % (5696)------------------------------
% 15.65/2.34 % (5693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.65/2.34 % (5693)Termination reason: Unknown
% 15.65/2.34 % (5693)Termination phase: Saturation
% 15.65/2.34
% 15.65/2.34 % (5693)Memory used [KB]: 10874
% 15.65/2.34 % (5693)Time elapsed: 0.284 s
% 15.65/2.34 % (5693)Instructions burned: 591 (million)
% 15.65/2.34 % (5693)------------------------------
% 15.65/2.34 % (5693)------------------------------
% 15.65/2.38 % (5714)dis+31_1:1_lcm=reverse:norm_ineq=on:nwc=10.0:sas=z3:tha=off:urr=on:i=1518:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/1518Mi)
% 15.65/2.38 % (5686)First to succeed.
% 16.21/2.43 % (5694)Instruction limit reached!
% 16.21/2.43 % (5694)------------------------------
% 16.21/2.43 % (5694)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.21/2.43 % (5694)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.21/2.43 % (5694)Termination reason: Unknown
% 16.21/2.43 % (5694)Termination phase: Saturation
% 16.21/2.43
% 16.21/2.43 % (5694)Memory used [KB]: 6652
% 16.21/2.43 % (5694)Time elapsed: 1.151 s
% 16.21/2.43 % (5694)Instructions burned: 639 (million)
% 16.21/2.43 % (5694)------------------------------
% 16.21/2.43 % (5694)------------------------------
% 16.21/2.44 % (5686)Refutation found. Thanks to Tanya!
% 16.21/2.44 % SZS status Theorem for theBenchmark
% 16.21/2.44 % SZS output start Proof for theBenchmark
% See solution above
% 16.21/2.44 % (5686)------------------------------
% 16.21/2.44 % (5686)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.21/2.44 % (5686)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.21/2.44 % (5686)Termination reason: Refutation
% 16.21/2.44
% 16.21/2.44 % (5686)Memory used [KB]: 3837
% 16.21/2.44 % (5686)Time elapsed: 1.349 s
% 16.21/2.44 % (5686)Instructions burned: 906 (million)
% 16.21/2.44 % (5686)------------------------------
% 16.21/2.44 % (5686)------------------------------
% 16.21/2.44 % (5613)Success in time 2.099 s
%------------------------------------------------------------------------------