TSTP Solution File: SWV415+2 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV415+2 : TPTP v8.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 06:18:33 EDT 2024
% Result : Theorem 0.22s 0.50s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 259
% Syntax : Number of formulae : 839 ( 126 unt; 0 def)
% Number of atoms : 2331 ( 532 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 2568 (1076 ~;1191 |; 51 &)
% ( 207 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 211 ( 209 usr; 198 prp; 0-3 aty)
% Number of functors : 42 ( 42 usr; 19 con; 0-3 aty)
% Number of variables : 2166 (2100 !; 66 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2946,plain,
$false,
inference(avatar_sat_refutation,[],[f217,f222,f226,f230,f234,f238,f242,f247,f251,f255,f259,f263,f267,f271,f275,f279,f284,f288,f292,f296,f300,f304,f308,f312,f316,f320,f324,f328,f337,f341,f345,f349,f353,f357,f361,f375,f380,f384,f388,f397,f401,f405,f409,f413,f417,f447,f451,f455,f459,f467,f473,f477,f481,f489,f493,f497,f501,f505,f509,f513,f537,f541,f552,f559,f568,f572,f583,f587,f608,f614,f617,f635,f639,f651,f655,f664,f668,f675,f679,f686,f702,f706,f717,f722,f726,f730,f734,f738,f742,f746,f848,f865,f869,f873,f877,f895,f901,f905,f940,f943,f949,f985,f1008,f1055,f1066,f1070,f1074,f1089,f1095,f1105,f1117,f1121,f1135,f1139,f1143,f1147,f1177,f1181,f1185,f1203,f1213,f1217,f1251,f1302,f1312,f1316,f1378,f1382,f1412,f1427,f1443,f1447,f1451,f1455,f1459,f1463,f1467,f1471,f1475,f1479,f1613,f1617,f1621,f1625,f1629,f1668,f1672,f1676,f1680,f1684,f1688,f1745,f1782,f1786,f1790,f1805,f1814,f1818,f1822,f1826,f1830,f1834,f1884,f1933,f1937,f1941,f1945,f1987,f1997,f2001,f2005,f2009,f2013,f2017,f2021,f2025,f2029,f2033,f2037,f2041,f2411,f2580,f2584,f2588,f2592,f2596,f2600,f2641,f2772,f2776,f2780,f2819,f2860,f2864,f2868,f2872,f2932,f2945]) ).
fof(f2945,plain,
~ spl16_188,
inference(avatar_contradiction_clause,[],[f2944]) ).
fof(f2944,plain,
( $false
| ~ spl16_188 ),
inference(equality_resolution,[],[f2640]) ).
fof(f2640,plain,
( ! [X0,X1] : insert_pq(i(triple(sK0,sK1,sK2)),sK3) != insert_pq(i(triple(X0,sK1,X1)),sK3)
| ~ spl16_188 ),
inference(avatar_component_clause,[],[f2639]) ).
fof(f2639,plain,
( spl16_188
<=> ! [X0,X1] : insert_pq(i(triple(sK0,sK1,sK2)),sK3) != insert_pq(i(triple(X0,sK1,X1)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_188])]) ).
fof(f2932,plain,
( spl16_197
| ~ spl16_43
| ~ spl16_86 ),
inference(avatar_split_clause,[],[f747,f720,f407,f2930]) ).
fof(f2930,plain,
( spl16_197
<=> ! [X4,X0,X3,X2,X1] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X2),X3) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_197])]) ).
fof(f407,plain,
( spl16_43
<=> ! [X2,X0,X1] : insert_pq(insert_pq(X0,X1),X2) = insert_pq(insert_pq(X0,X2),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_43])]) ).
fof(f720,plain,
( spl16_86
<=> ! [X0,X3,X2,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = insert_pq(insert_pq(insert_pq(X0,X2),X1),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_86])]) ).
fof(f747,plain,
( ! [X2,X3,X0,X1,X4] : insert_pq(insert_pq(insert_pq(insert_pq(X0,X1),X4),X2),X3) = insert_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4)
| ~ spl16_43
| ~ spl16_86 ),
inference(superposition,[],[f721,f408]) ).
fof(f408,plain,
( ! [X2,X0,X1] : insert_pq(insert_pq(X0,X1),X2) = insert_pq(insert_pq(X0,X2),X1)
| ~ spl16_43 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f721,plain,
( ! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = insert_pq(insert_pq(insert_pq(X0,X2),X1),X3)
| ~ spl16_86 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f2872,plain,
( spl16_196
| ~ spl16_27
| ~ spl16_102 ),
inference(avatar_split_clause,[],[f1039,f983,f322,f2870]) ).
fof(f2870,plain,
( spl16_196
<=> ! [X5,X4,X2,X7,X0,X6,X3,X1] :
( contains_pq(i(triple(X4,insert_slb(X1,pair(X3,X5)),X6)),X7)
| ~ contains_pq(i(triple(X0,X1,X2)),X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_196])]) ).
fof(f322,plain,
( spl16_27
<=> ! [X2,X0,X1] :
( contains_pq(insert_pq(X0,X1),X2)
| ~ contains_pq(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_27])]) ).
fof(f983,plain,
( spl16_102
<=> ! [X5,X3,X4,X0,X6,X2,X1] : insert_pq(i(triple(X0,X1,X4)),X2) = i(triple(X5,insert_slb(X1,pair(X2,X3)),X6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_102])]) ).
fof(f1039,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( contains_pq(i(triple(X4,insert_slb(X1,pair(X3,X5)),X6)),X7)
| ~ contains_pq(i(triple(X0,X1,X2)),X7) )
| ~ spl16_27
| ~ spl16_102 ),
inference(superposition,[],[f323,f984]) ).
fof(f984,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] : insert_pq(i(triple(X0,X1,X4)),X2) = i(triple(X5,insert_slb(X1,pair(X2,X3)),X6))
| ~ spl16_102 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f323,plain,
( ! [X2,X0,X1] :
( contains_pq(insert_pq(X0,X1),X2)
| ~ contains_pq(X0,X2) )
| ~ spl16_27 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f2868,plain,
( spl16_195
| ~ spl16_92
| ~ spl16_93 ),
inference(avatar_split_clause,[],[f861,f846,f744,f2866]) ).
fof(f2866,plain,
( spl16_195
<=> ! [X4,X0,X3,X2,X1] :
( lookup_slb(update_slb(insert_slb(insert_slb(X0,pair(X1,X2)),pair(X3,X4)),bottom),X1) = X2
| X1 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_195])]) ).
fof(f744,plain,
( spl16_92
<=> ! [X2,X0,X1] : update_slb(insert_slb(X0,pair(X1,X2)),bottom) = insert_slb(update_slb(X0,bottom),pair(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_92])]) ).
fof(f846,plain,
( spl16_93
<=> ! [X4,X0,X3,X2,X1] :
( lookup_slb(insert_slb(insert_slb(X0,pair(X1,X2)),pair(X3,X4)),X1) = X2
| X1 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_93])]) ).
fof(f861,plain,
( ! [X2,X3,X0,X1,X4] :
( lookup_slb(update_slb(insert_slb(insert_slb(X0,pair(X1,X2)),pair(X3,X4)),bottom),X1) = X2
| X1 = X3 )
| ~ spl16_92
| ~ spl16_93 ),
inference(forward_demodulation,[],[f854,f745]) ).
fof(f745,plain,
( ! [X2,X0,X1] : update_slb(insert_slb(X0,pair(X1,X2)),bottom) = insert_slb(update_slb(X0,bottom),pair(X1,X2))
| ~ spl16_92 ),
inference(avatar_component_clause,[],[f744]) ).
fof(f854,plain,
( ! [X2,X3,X0,X1,X4] :
( lookup_slb(insert_slb(update_slb(insert_slb(X0,pair(X1,X2)),bottom),pair(X3,X4)),X1) = X2
| X1 = X3 )
| ~ spl16_92
| ~ spl16_93 ),
inference(superposition,[],[f847,f745]) ).
fof(f847,plain,
( ! [X2,X3,X0,X1,X4] :
( lookup_slb(insert_slb(insert_slb(X0,pair(X1,X2)),pair(X3,X4)),X1) = X2
| X1 = X3 )
| ~ spl16_93 ),
inference(avatar_component_clause,[],[f846]) ).
fof(f2864,plain,
( spl16_194
| ~ spl16_91
| ~ spl16_93 ),
inference(avatar_split_clause,[],[f853,f846,f740,f2862]) ).
fof(f2862,plain,
( spl16_194
<=> ! [X4,X0,X3,X2,X1] :
( lookup_slb(insert_slb(update_slb(insert_slb(X0,pair(X2,X1)),X1),pair(X3,X4)),X2) = X1
| X2 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_194])]) ).
fof(f740,plain,
( spl16_91
<=> ! [X2,X0,X1] : insert_slb(update_slb(X0,X2),pair(X1,X2)) = update_slb(insert_slb(X0,pair(X1,X2)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_91])]) ).
fof(f853,plain,
( ! [X2,X3,X0,X1,X4] :
( lookup_slb(insert_slb(update_slb(insert_slb(X0,pair(X2,X1)),X1),pair(X3,X4)),X2) = X1
| X2 = X3 )
| ~ spl16_91
| ~ spl16_93 ),
inference(superposition,[],[f847,f741]) ).
fof(f741,plain,
( ! [X2,X0,X1] : insert_slb(update_slb(X0,X2),pair(X1,X2)) = update_slb(insert_slb(X0,pair(X1,X2)),X2)
| ~ spl16_91 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f2860,plain,
( spl16_193
| ~ spl16_51
| ~ spl16_62 ),
inference(avatar_split_clause,[],[f547,f539,f471,f2858]) ).
fof(f2858,plain,
( spl16_193
<=> ! [X0,X3,X2,X1] :
( strictly_less_than(X0,X1)
| update_slb(insert_slb(X2,pair(X3,X0)),X1) = insert_slb(update_slb(X2,X1),pair(X3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_193])]) ).
fof(f471,plain,
( spl16_51
<=> ! [X0,X1] :
( less_than(X0,X1)
| strictly_less_than(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_51])]) ).
fof(f539,plain,
( spl16_62
<=> ! [X0,X3,X2,X1] :
( update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X3))
| ~ less_than(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_62])]) ).
fof(f547,plain,
( ! [X2,X3,X0,X1] :
( strictly_less_than(X0,X1)
| update_slb(insert_slb(X2,pair(X3,X0)),X1) = insert_slb(update_slb(X2,X1),pair(X3,X0)) )
| ~ spl16_51
| ~ spl16_62 ),
inference(resolution,[],[f472,f540]) ).
fof(f540,plain,
( ! [X2,X3,X0,X1] :
( ~ less_than(X2,X3)
| update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X3)) )
| ~ spl16_62 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f472,plain,
( ! [X0,X1] :
( less_than(X0,X1)
| strictly_less_than(X1,X0) )
| ~ spl16_51 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f2819,plain,
( spl16_192
| spl16_8
| ~ spl16_179 ),
inference(avatar_split_clause,[],[f2479,f2035,f244,f2817]) ).
fof(f2817,plain,
( spl16_192
<=> ! [X0,X1] : insert_pq(i(triple(sK0,sK1,sK2)),sK3) != i(insert_cpq(triple(X0,sK1,X1),sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_192])]) ).
fof(f244,plain,
( spl16_8
<=> insert_pq(i(triple(sK0,sK1,sK2)),sK3) = i(insert_cpq(triple(sK0,sK1,sK2),sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_8])]) ).
fof(f2035,plain,
( spl16_179
<=> ! [X3,X4,X0,X5,X2,X1] : i(insert_cpq(triple(X0,X2,X3),X1)) = i(insert_cpq(triple(X4,X2,X5),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_179])]) ).
fof(f2479,plain,
( ! [X0,X1] : insert_pq(i(triple(sK0,sK1,sK2)),sK3) != i(insert_cpq(triple(X0,sK1,X1),sK3))
| spl16_8
| ~ spl16_179 ),
inference(superposition,[],[f246,f2036]) ).
fof(f2036,plain,
( ! [X2,X3,X0,X1,X4,X5] : i(insert_cpq(triple(X0,X2,X3),X1)) = i(insert_cpq(triple(X4,X2,X5),X1))
| ~ spl16_179 ),
inference(avatar_component_clause,[],[f2035]) ).
fof(f246,plain,
( insert_pq(i(triple(sK0,sK1,sK2)),sK3) != i(insert_cpq(triple(sK0,sK1,sK2),sK3))
| spl16_8 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f2780,plain,
( spl16_191
| ~ spl16_18
| ~ spl16_102 ),
inference(avatar_split_clause,[],[f1038,f983,f286,f2778]) ).
fof(f2778,plain,
( spl16_191
<=> ! [X5,X3,X4,X2,X0,X6,X1] : i(triple(X0,X1,X2)) = remove_pq(i(triple(X4,insert_slb(X1,pair(X3,X5)),X6)),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_191])]) ).
fof(f286,plain,
( spl16_18
<=> ! [X0,X1] : remove_pq(insert_pq(X0,X1),X1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_18])]) ).
fof(f1038,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] : i(triple(X0,X1,X2)) = remove_pq(i(triple(X4,insert_slb(X1,pair(X3,X5)),X6)),X3)
| ~ spl16_18
| ~ spl16_102 ),
inference(superposition,[],[f287,f984]) ).
fof(f287,plain,
( ! [X0,X1] : remove_pq(insert_pq(X0,X1),X1) = X0
| ~ spl16_18 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f2776,plain,
( spl16_190
| ~ spl16_49
| ~ spl16_92 ),
inference(avatar_split_clause,[],[f839,f744,f457,f2774]) ).
fof(f2774,plain,
( spl16_190
<=> ! [X0,X3,X2,X1] :
( ~ contains_slb(update_slb(insert_slb(X0,pair(X1,X2)),bottom),X3)
| contains_slb(update_slb(X0,bottom),X3)
| X1 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_190])]) ).
fof(f457,plain,
( spl16_49
<=> ! [X0,X3,X2,X1] :
( X1 = X2
| contains_slb(X0,X2)
| ~ contains_slb(insert_slb(X0,pair(X1,X3)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_49])]) ).
fof(f839,plain,
( ! [X2,X3,X0,X1] :
( ~ contains_slb(update_slb(insert_slb(X0,pair(X1,X2)),bottom),X3)
| contains_slb(update_slb(X0,bottom),X3)
| X1 = X3 )
| ~ spl16_49
| ~ spl16_92 ),
inference(superposition,[],[f458,f745]) ).
fof(f458,plain,
( ! [X2,X3,X0,X1] :
( ~ contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| contains_slb(X0,X2)
| X1 = X2 )
| ~ spl16_49 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f2772,plain,
( spl16_189
| ~ spl16_49
| ~ spl16_91 ),
inference(avatar_split_clause,[],[f824,f740,f457,f2770]) ).
fof(f2770,plain,
( spl16_189
<=> ! [X0,X3,X2,X1] :
( ~ contains_slb(update_slb(insert_slb(X0,pair(X2,X1)),X1),X3)
| contains_slb(update_slb(X0,X1),X3)
| X2 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_189])]) ).
fof(f824,plain,
( ! [X2,X3,X0,X1] :
( ~ contains_slb(update_slb(insert_slb(X0,pair(X2,X1)),X1),X3)
| contains_slb(update_slb(X0,X1),X3)
| X2 = X3 )
| ~ spl16_49
| ~ spl16_91 ),
inference(superposition,[],[f458,f741]) ).
fof(f2641,plain,
( spl16_188
| spl16_8
| ~ spl16_177 ),
inference(avatar_split_clause,[],[f2429,f2027,f244,f2639]) ).
fof(f2027,plain,
( spl16_177
<=> ! [X3,X4,X0,X5,X2,X1] : i(insert_cpq(triple(X0,X2,X3),X1)) = insert_pq(i(triple(X4,X2,X5)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_177])]) ).
fof(f2429,plain,
( ! [X0,X1] : insert_pq(i(triple(sK0,sK1,sK2)),sK3) != insert_pq(i(triple(X0,sK1,X1)),sK3)
| spl16_8
| ~ spl16_177 ),
inference(superposition,[],[f246,f2028]) ).
fof(f2028,plain,
( ! [X2,X3,X0,X1,X4,X5] : i(insert_cpq(triple(X0,X2,X3),X1)) = insert_pq(i(triple(X4,X2,X5)),X1)
| ~ spl16_177 ),
inference(avatar_component_clause,[],[f2027]) ).
fof(f2600,plain,
( spl16_187
| ~ spl16_47
| ~ spl16_92 ),
inference(avatar_split_clause,[],[f838,f744,f449,f2598]) ).
fof(f2598,plain,
( spl16_187
<=> ! [X4,X0,X3,X2,X1] :
( pair_in_list(update_slb(insert_slb(X0,pair(X1,X2)),bottom),X3,X4)
| ~ pair_in_list(update_slb(X0,bottom),X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_187])]) ).
fof(f449,plain,
( spl16_47
<=> ! [X4,X0,X3,X2,X1] :
( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
| ~ pair_in_list(X0,X2,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_47])]) ).
fof(f838,plain,
( ! [X2,X3,X0,X1,X4] :
( pair_in_list(update_slb(insert_slb(X0,pair(X1,X2)),bottom),X3,X4)
| ~ pair_in_list(update_slb(X0,bottom),X3,X4) )
| ~ spl16_47
| ~ spl16_92 ),
inference(superposition,[],[f450,f745]) ).
fof(f450,plain,
( ! [X2,X3,X0,X1,X4] :
( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
| ~ pair_in_list(X0,X2,X4) )
| ~ spl16_47 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f2596,plain,
( spl16_186
| ~ spl16_47
| ~ spl16_91 ),
inference(avatar_split_clause,[],[f823,f740,f449,f2594]) ).
fof(f2594,plain,
( spl16_186
<=> ! [X4,X0,X3,X2,X1] :
( pair_in_list(update_slb(insert_slb(X0,pair(X2,X1)),X1),X3,X4)
| ~ pair_in_list(update_slb(X0,X1),X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_186])]) ).
fof(f823,plain,
( ! [X2,X3,X0,X1,X4] :
( pair_in_list(update_slb(insert_slb(X0,pair(X2,X1)),X1),X3,X4)
| ~ pair_in_list(update_slb(X0,X1),X3,X4) )
| ~ spl16_47
| ~ spl16_91 ),
inference(superposition,[],[f450,f741]) ).
fof(f2592,plain,
( spl16_185
| ~ spl16_27
| ~ spl16_86 ),
inference(avatar_split_clause,[],[f792,f720,f322,f2590]) ).
fof(f2590,plain,
( spl16_185
<=> ! [X4,X0,X3,X2,X1] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4)
| ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_185])]) ).
fof(f792,plain,
( ! [X2,X3,X0,X1,X4] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4)
| ~ contains_pq(insert_pq(insert_pq(X0,X1),X2),X4) )
| ~ spl16_27
| ~ spl16_86 ),
inference(superposition,[],[f323,f721]) ).
fof(f2588,plain,
( spl16_184
| ~ spl16_84
| ~ spl16_86 ),
inference(avatar_split_clause,[],[f788,f720,f704,f2586]) ).
fof(f2586,plain,
( spl16_184
<=> ! [X4,X0,X3,X2,X1] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4)
| ~ contains_pq(insert_pq(insert_pq(X0,X1),X3),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_184])]) ).
fof(f704,plain,
( spl16_84
<=> ! [X0,X3,X2,X1] :
( contains_pq(insert_pq(insert_pq(X0,X2),X1),X3)
| ~ contains_pq(insert_pq(X0,X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_84])]) ).
fof(f788,plain,
( ! [X2,X3,X0,X1,X4] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X4)
| ~ contains_pq(insert_pq(insert_pq(X0,X1),X3),X4) )
| ~ spl16_84
| ~ spl16_86 ),
inference(superposition,[],[f705,f721]) ).
fof(f705,plain,
( ! [X2,X3,X0,X1] :
( contains_pq(insert_pq(insert_pq(X0,X2),X1),X3)
| ~ contains_pq(insert_pq(X0,X1),X3) )
| ~ spl16_84 ),
inference(avatar_component_clause,[],[f704]) ).
fof(f2584,plain,
( spl16_183
| ~ spl16_84
| ~ spl16_86 ),
inference(avatar_split_clause,[],[f773,f720,f704,f2582]) ).
fof(f2582,plain,
( spl16_183
<=> ! [X4,X0,X3,X2,X1] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4)
| ~ contains_pq(insert_pq(insert_pq(X0,X1),X3),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_183])]) ).
fof(f773,plain,
( ! [X2,X3,X0,X1,X4] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4)
| ~ contains_pq(insert_pq(insert_pq(X0,X1),X3),X4) )
| ~ spl16_84
| ~ spl16_86 ),
inference(superposition,[],[f705,f721]) ).
fof(f2580,plain,
( spl16_182
| ~ spl16_43
| ~ spl16_84 ),
inference(avatar_split_clause,[],[f710,f704,f407,f2578]) ).
fof(f2578,plain,
( spl16_182
<=> ! [X4,X0,X3,X2,X1] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4)
| ~ contains_pq(insert_pq(insert_pq(X0,X1),X3),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_182])]) ).
fof(f710,plain,
( ! [X2,X3,X0,X1,X4] :
( contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X4)
| ~ contains_pq(insert_pq(insert_pq(X0,X1),X3),X4) )
| ~ spl16_43
| ~ spl16_84 ),
inference(superposition,[],[f705,f408]) ).
fof(f2411,plain,
( spl16_181
| ~ spl16_73
| ~ spl16_108 ),
inference(avatar_split_clause,[],[f1419,f1087,f633,f2409]) ).
fof(f2409,plain,
( spl16_181
<=> ! [X0,X1] : bottom = removemin_pq_res(insert_pq(insert_pq(X0,bottom),X1),bottom) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_181])]) ).
fof(f633,plain,
( spl16_73
<=> ! [X2,X0,X1] : contains_pq(insert_pq(insert_pq(X0,X2),X1),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_73])]) ).
fof(f1087,plain,
( spl16_108
<=> ! [X0] :
( bottom = removemin_pq_res(X0,bottom)
| ~ contains_pq(X0,bottom) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_108])]) ).
fof(f1419,plain,
( ! [X0,X1] : bottom = removemin_pq_res(insert_pq(insert_pq(X0,bottom),X1),bottom)
| ~ spl16_73
| ~ spl16_108 ),
inference(resolution,[],[f1088,f634]) ).
fof(f634,plain,
( ! [X2,X0,X1] : contains_pq(insert_pq(insert_pq(X0,X2),X1),X2)
| ~ spl16_73 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f1088,plain,
( ! [X0] :
( ~ contains_pq(X0,bottom)
| bottom = removemin_pq_res(X0,bottom) )
| ~ spl16_108 ),
inference(avatar_component_clause,[],[f1087]) ).
fof(f2041,plain,
( spl16_180
| ~ spl16_102 ),
inference(avatar_split_clause,[],[f1033,f983,f2039]) ).
fof(f2039,plain,
( spl16_180
<=> ! [X5,X7,X8,X6,X2,X1] : insert_pq(i(triple(X5,X1,X6)),X2) = insert_pq(i(triple(X7,X1,X8)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_180])]) ).
fof(f1033,plain,
( ! [X2,X1,X8,X6,X7,X5] : insert_pq(i(triple(X5,X1,X6)),X2) = insert_pq(i(triple(X7,X1,X8)),X2)
| ~ spl16_102 ),
inference(superposition,[],[f984,f984]) ).
fof(f2037,plain,
( spl16_179
| ~ spl16_55
| ~ spl16_97 ),
inference(avatar_split_clause,[],[f1016,f875,f491,f2035]) ).
fof(f491,plain,
( spl16_55
<=> ! [X0,X3,X2,X1] : insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_55])]) ).
fof(f875,plain,
( spl16_97
<=> ! [X3,X4,X0,X5,X2,X1] : i(insert_cpq(triple(X0,X2,X3),X1)) = i(triple(X4,insert_slb(X2,pair(X1,bottom)),X5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_97])]) ).
fof(f1016,plain,
( ! [X2,X3,X0,X1,X4,X5] : i(insert_cpq(triple(X0,X2,X3),X1)) = i(insert_cpq(triple(X4,X2,X5),X1))
| ~ spl16_55
| ~ spl16_97 ),
inference(superposition,[],[f876,f492]) ).
fof(f492,plain,
( ! [X2,X3,X0,X1] : insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2)
| ~ spl16_55 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f876,plain,
( ! [X2,X3,X0,X1,X4,X5] : i(insert_cpq(triple(X0,X2,X3),X1)) = i(triple(X4,insert_slb(X2,pair(X1,bottom)),X5))
| ~ spl16_97 ),
inference(avatar_component_clause,[],[f875]) ).
fof(f2033,plain,
( spl16_178
| ~ spl16_73
| ~ spl16_103 ),
inference(avatar_split_clause,[],[f1415,f1006,f633,f2031]) ).
fof(f2031,plain,
( spl16_178
<=> ! [X0,X1] : bottom = findmin_pq_res(insert_pq(insert_pq(X0,bottom),X1),bottom) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_178])]) ).
fof(f1006,plain,
( spl16_103
<=> ! [X0] :
( bottom = findmin_pq_res(X0,bottom)
| ~ contains_pq(X0,bottom) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_103])]) ).
fof(f1415,plain,
( ! [X0,X1] : bottom = findmin_pq_res(insert_pq(insert_pq(X0,bottom),X1),bottom)
| ~ spl16_73
| ~ spl16_103 ),
inference(resolution,[],[f1007,f634]) ).
fof(f1007,plain,
( ! [X0] :
( ~ contains_pq(X0,bottom)
| bottom = findmin_pq_res(X0,bottom) )
| ~ spl16_103 ),
inference(avatar_component_clause,[],[f1006]) ).
fof(f2029,plain,
( spl16_177
| ~ spl16_71
| ~ spl16_94 ),
inference(avatar_split_clause,[],[f988,f863,f606,f2027]) ).
fof(f606,plain,
( spl16_71
<=> ! [X4,X0,X3,X2,X1] : i(triple(X0,X2,X3)) = i(triple(X1,X2,X4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_71])]) ).
fof(f863,plain,
( spl16_94
<=> ! [X0,X3,X2,X1] : insert_pq(i(triple(insert_pqp(X0,X1),X2,X3)),X1) = i(insert_cpq(triple(X0,X2,X3),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_94])]) ).
fof(f988,plain,
( ! [X2,X3,X0,X1,X4,X5] : i(insert_cpq(triple(X0,X2,X3),X1)) = insert_pq(i(triple(X4,X2,X5)),X1)
| ~ spl16_71
| ~ spl16_94 ),
inference(superposition,[],[f864,f607]) ).
fof(f607,plain,
( ! [X2,X3,X0,X1,X4] : i(triple(X0,X2,X3)) = i(triple(X1,X2,X4))
| ~ spl16_71 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f864,plain,
( ! [X2,X3,X0,X1] : insert_pq(i(triple(insert_pqp(X0,X1),X2,X3)),X1) = i(insert_cpq(triple(X0,X2,X3),X1))
| ~ spl16_94 ),
inference(avatar_component_clause,[],[f863]) ).
fof(f2025,plain,
( spl16_176
| ~ spl16_18
| ~ spl16_101 ),
inference(avatar_split_clause,[],[f971,f938,f286,f2023]) ).
fof(f2023,plain,
( spl16_176
<=> ! [X0,X1] : i(triple(X0,sK4,X1)) = remove_pq(insert_pq(i(triple(sK5,sK4,sK7)),sK9),sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_176])]) ).
fof(f938,plain,
( spl16_101
<=> ! [X0,X1] : insert_pq(i(triple(sK5,sK4,sK7)),sK9) = insert_pq(i(triple(X0,sK4,X1)),sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_101])]) ).
fof(f971,plain,
( ! [X0,X1] : i(triple(X0,sK4,X1)) = remove_pq(insert_pq(i(triple(sK5,sK4,sK7)),sK9),sK9)
| ~ spl16_18
| ~ spl16_101 ),
inference(superposition,[],[f287,f939]) ).
fof(f939,plain,
( ! [X0,X1] : insert_pq(i(triple(sK5,sK4,sK7)),sK9) = insert_pq(i(triple(X0,sK4,X1)),sK9)
| ~ spl16_101 ),
inference(avatar_component_clause,[],[f938]) ).
fof(f2021,plain,
( spl16_175
| ~ spl16_18
| ~ spl16_101 ),
inference(avatar_split_clause,[],[f958,f938,f286,f2019]) ).
fof(f2019,plain,
( spl16_175
<=> ! [X0,X1] : i(triple(sK5,sK4,sK7)) = remove_pq(insert_pq(i(triple(X0,sK4,X1)),sK9),sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_175])]) ).
fof(f958,plain,
( ! [X0,X1] : i(triple(sK5,sK4,sK7)) = remove_pq(insert_pq(i(triple(X0,sK4,X1)),sK9),sK9)
| ~ spl16_18
| ~ spl16_101 ),
inference(superposition,[],[f287,f939]) ).
fof(f2017,plain,
( spl16_174
| ~ spl16_18
| ~ spl16_86 ),
inference(avatar_split_clause,[],[f791,f720,f286,f2015]) ).
fof(f2015,plain,
( spl16_174
<=> ! [X0,X3,X2,X1] : insert_pq(insert_pq(X0,X1),X2) = remove_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_174])]) ).
fof(f791,plain,
( ! [X2,X3,X0,X1] : insert_pq(insert_pq(X0,X1),X2) = remove_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X3)
| ~ spl16_18
| ~ spl16_86 ),
inference(superposition,[],[f287,f721]) ).
fof(f2013,plain,
( spl16_173
| ~ spl16_79
| ~ spl16_86 ),
inference(avatar_split_clause,[],[f787,f720,f673,f2011]) ).
fof(f2011,plain,
( spl16_173
<=> ! [X0,X3,X2,X1] : insert_pq(insert_pq(X0,X1),X3) = remove_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_173])]) ).
fof(f673,plain,
( spl16_79
<=> ! [X2,X0,X1] : insert_pq(X0,X1) = remove_pq(insert_pq(insert_pq(X0,X2),X1),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_79])]) ).
fof(f787,plain,
( ! [X2,X3,X0,X1] : insert_pq(insert_pq(X0,X1),X3) = remove_pq(insert_pq(insert_pq(insert_pq(X0,X2),X3),X1),X2)
| ~ spl16_79
| ~ spl16_86 ),
inference(superposition,[],[f674,f721]) ).
fof(f674,plain,
( ! [X2,X0,X1] : insert_pq(X0,X1) = remove_pq(insert_pq(insert_pq(X0,X2),X1),X2)
| ~ spl16_79 ),
inference(avatar_component_clause,[],[f673]) ).
fof(f2009,plain,
( spl16_172
| ~ spl16_79
| ~ spl16_86 ),
inference(avatar_split_clause,[],[f772,f720,f673,f2007]) ).
fof(f2007,plain,
( spl16_172
<=> ! [X0,X3,X2,X1] : insert_pq(insert_pq(X0,X1),X3) = remove_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_172])]) ).
fof(f772,plain,
( ! [X2,X3,X0,X1] : insert_pq(insert_pq(X0,X1),X3) = remove_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X2)
| ~ spl16_79
| ~ spl16_86 ),
inference(superposition,[],[f674,f721]) ).
fof(f2005,plain,
( spl16_171
| ~ spl16_43
| ~ spl16_86 ),
inference(avatar_split_clause,[],[f756,f720,f407,f2003]) ).
fof(f2003,plain,
( spl16_171
<=> ! [X0,X3,X2,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = insert_pq(insert_pq(insert_pq(X0,X3),X1),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_171])]) ).
fof(f756,plain,
( ! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = insert_pq(insert_pq(insert_pq(X0,X3),X1),X2)
| ~ spl16_43
| ~ spl16_86 ),
inference(superposition,[],[f721,f408]) ).
fof(f2001,plain,
( spl16_170
| ~ spl16_43
| ~ spl16_86 ),
inference(avatar_split_clause,[],[f751,f720,f407,f1999]) ).
fof(f1999,plain,
( spl16_170
<=> ! [X0,X3,X2,X1] : insert_pq(insert_pq(insert_pq(X0,X2),X1),X3) = insert_pq(insert_pq(insert_pq(X0,X3),X1),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_170])]) ).
fof(f751,plain,
( ! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X2),X1),X3) = insert_pq(insert_pq(insert_pq(X0,X3),X1),X2)
| ~ spl16_43
| ~ spl16_86 ),
inference(superposition,[],[f721,f408]) ).
fof(f1997,plain,
( spl16_169
| ~ spl16_43
| ~ spl16_79 ),
inference(avatar_split_clause,[],[f694,f673,f407,f1995]) ).
fof(f1995,plain,
( spl16_169
<=> ! [X0,X3,X2,X1] : insert_pq(insert_pq(X0,X1),X3) = remove_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_169])]) ).
fof(f694,plain,
( ! [X2,X3,X0,X1] : insert_pq(insert_pq(X0,X1),X3) = remove_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X2)
| ~ spl16_43
| ~ spl16_79 ),
inference(superposition,[],[f674,f408]) ).
fof(f1987,plain,
( spl16_168
| ~ spl16_14
| ~ spl16_100 ),
inference(avatar_split_clause,[],[f1405,f903,f269,f1985]) ).
fof(f1985,plain,
( spl16_168
<=> ! [X0] : insert_pq(X0,bottom) = findmin_pq_eff(insert_pq(X0,bottom),bottom) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_168])]) ).
fof(f269,plain,
( spl16_14
<=> ! [X2,X0] : contains_pq(insert_pq(X0,X2),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_14])]) ).
fof(f903,plain,
( spl16_100
<=> ! [X0] :
( findmin_pq_eff(X0,bottom) = X0
| ~ contains_pq(X0,bottom) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_100])]) ).
fof(f1405,plain,
( ! [X0] : insert_pq(X0,bottom) = findmin_pq_eff(insert_pq(X0,bottom),bottom)
| ~ spl16_14
| ~ spl16_100 ),
inference(resolution,[],[f904,f270]) ).
fof(f270,plain,
( ! [X2,X0] : contains_pq(insert_pq(X0,X2),X2)
| ~ spl16_14 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f904,plain,
( ! [X0] :
( ~ contains_pq(X0,bottom)
| findmin_pq_eff(X0,bottom) = X0 )
| ~ spl16_100 ),
inference(avatar_component_clause,[],[f903]) ).
fof(f1945,plain,
( spl16_167
| ~ spl16_46
| ~ spl16_92 ),
inference(avatar_split_clause,[],[f837,f744,f445,f1943]) ).
fof(f1943,plain,
( spl16_167
<=> ! [X4,X0,X3,X2,X1] :
( ~ check_cpq(triple(X3,update_slb(insert_slb(X0,pair(X1,X2)),bottom),X4))
| ~ strictly_less_than(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_167])]) ).
fof(f445,plain,
( spl16_46
<=> ! [X4,X0,X3,X2,X1] :
( ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
| ~ strictly_less_than(X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_46])]) ).
fof(f837,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ check_cpq(triple(X3,update_slb(insert_slb(X0,pair(X1,X2)),bottom),X4))
| ~ strictly_less_than(X1,X2) )
| ~ spl16_46
| ~ spl16_92 ),
inference(superposition,[],[f446,f745]) ).
fof(f446,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
| ~ strictly_less_than(X3,X4) )
| ~ spl16_46 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f1941,plain,
( spl16_166
| ~ spl16_38
| ~ spl16_92 ),
inference(avatar_split_clause,[],[f836,f744,f382,f1939]) ).
fof(f1939,plain,
( spl16_166
<=> ! [X0,X3,X2,X1] :
( contains_slb(update_slb(insert_slb(X0,pair(X1,X2)),bottom),X3)
| ~ contains_slb(update_slb(X0,bottom),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_166])]) ).
fof(f382,plain,
( spl16_38
<=> ! [X0,X3,X2,X1] :
( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| ~ contains_slb(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_38])]) ).
fof(f836,plain,
( ! [X2,X3,X0,X1] :
( contains_slb(update_slb(insert_slb(X0,pair(X1,X2)),bottom),X3)
| ~ contains_slb(update_slb(X0,bottom),X3) )
| ~ spl16_38
| ~ spl16_92 ),
inference(superposition,[],[f383,f745]) ).
fof(f383,plain,
( ! [X2,X3,X0,X1] :
( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| ~ contains_slb(X0,X2) )
| ~ spl16_38 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f1937,plain,
( spl16_165
| ~ spl16_46
| ~ spl16_91 ),
inference(avatar_split_clause,[],[f822,f740,f445,f1935]) ).
fof(f1935,plain,
( spl16_165
<=> ! [X2,X4,X0,X3,X1] :
( ~ check_cpq(triple(X3,update_slb(insert_slb(X0,pair(X2,X1)),X1),X4))
| ~ strictly_less_than(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_165])]) ).
fof(f822,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ check_cpq(triple(X3,update_slb(insert_slb(X0,pair(X2,X1)),X1),X4))
| ~ strictly_less_than(X2,X1) )
| ~ spl16_46
| ~ spl16_91 ),
inference(superposition,[],[f446,f741]) ).
fof(f1933,plain,
( spl16_164
| ~ spl16_38
| ~ spl16_91 ),
inference(avatar_split_clause,[],[f821,f740,f382,f1931]) ).
fof(f1931,plain,
( spl16_164
<=> ! [X0,X3,X2,X1] :
( contains_slb(update_slb(insert_slb(X0,pair(X2,X1)),X1),X3)
| ~ contains_slb(update_slb(X0,X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_164])]) ).
fof(f821,plain,
( ! [X2,X3,X0,X1] :
( contains_slb(update_slb(insert_slb(X0,pair(X2,X1)),X1),X3)
| ~ contains_slb(update_slb(X0,X1),X3) )
| ~ spl16_38
| ~ spl16_91 ),
inference(superposition,[],[f383,f741]) ).
fof(f1884,plain,
( spl16_163
| ~ spl16_33
| ~ spl16_75 ),
inference(avatar_split_clause,[],[f690,f649,f351,f1882]) ).
fof(f1882,plain,
( spl16_163
<=> ! [X2,X0,X1] :
( strictly_less_than(bottom,X0)
| less_than(X1,X2)
| ~ less_than(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_163])]) ).
fof(f351,plain,
( spl16_33
<=> ! [X2,X0,X1] :
( less_than(X0,X2)
| ~ less_than(X1,X2)
| ~ less_than(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_33])]) ).
fof(f649,plain,
( spl16_75
<=> ! [X0,X1] :
( less_than(X0,X1)
| strictly_less_than(bottom,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_75])]) ).
fof(f690,plain,
( ! [X2,X0,X1] :
( strictly_less_than(bottom,X0)
| less_than(X1,X2)
| ~ less_than(X1,X0) )
| ~ spl16_33
| ~ spl16_75 ),
inference(resolution,[],[f650,f352]) ).
fof(f352,plain,
( ! [X2,X0,X1] :
( ~ less_than(X1,X2)
| less_than(X0,X2)
| ~ less_than(X0,X1) )
| ~ spl16_33 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f650,plain,
( ! [X0,X1] :
( less_than(X0,X1)
| strictly_less_than(bottom,X0) )
| ~ spl16_75 ),
inference(avatar_component_clause,[],[f649]) ).
fof(f1834,plain,
( spl16_162
| ~ spl16_73
| ~ spl16_102 ),
inference(avatar_split_clause,[],[f1043,f983,f633,f1832]) ).
fof(f1832,plain,
( spl16_162
<=> ! [X5,X4,X7,X6,X3,X1] : contains_pq(insert_pq(i(triple(X4,insert_slb(X1,pair(X3,X5)),X6)),X7),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_162])]) ).
fof(f1043,plain,
( ! [X3,X1,X6,X7,X4,X5] : contains_pq(insert_pq(i(triple(X4,insert_slb(X1,pair(X3,X5)),X6)),X7),X3)
| ~ spl16_73
| ~ spl16_102 ),
inference(superposition,[],[f634,f984]) ).
fof(f1830,plain,
( spl16_161
| ~ spl16_17
| ~ spl16_102 ),
inference(avatar_split_clause,[],[f1023,f983,f282,f1828]) ).
fof(f1828,plain,
( spl16_161
<=> ! [X3,X4,X5,X2] : insert_pq(create_pq,X2) = i(triple(X3,insert_slb(create_slb,pair(X2,X4)),X5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_161])]) ).
fof(f282,plain,
( spl16_17
<=> ! [X0,X1] : create_pq = i(triple(X0,create_slb,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_17])]) ).
fof(f1023,plain,
( ! [X2,X3,X4,X5] : insert_pq(create_pq,X2) = i(triple(X3,insert_slb(create_slb,pair(X2,X4)),X5))
| ~ spl16_17
| ~ spl16_102 ),
inference(superposition,[],[f984,f283]) ).
fof(f283,plain,
( ! [X0,X1] : create_pq = i(triple(X0,create_slb,X1))
| ~ spl16_17 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f1826,plain,
( spl16_160
| ~ spl16_31
| ~ spl16_92 ),
inference(avatar_split_clause,[],[f834,f744,f343,f1824]) ).
fof(f1824,plain,
( spl16_160
<=> ! [X2,X0,X1] : update_slb(X0,bottom) = remove_slb(update_slb(insert_slb(X0,pair(X1,X2)),bottom),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_160])]) ).
fof(f343,plain,
( spl16_31
<=> ! [X2,X0,X1] : remove_slb(insert_slb(X0,pair(X1,X2)),X1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_31])]) ).
fof(f834,plain,
( ! [X2,X0,X1] : update_slb(X0,bottom) = remove_slb(update_slb(insert_slb(X0,pair(X1,X2)),bottom),X1)
| ~ spl16_31
| ~ spl16_92 ),
inference(superposition,[],[f344,f745]) ).
fof(f344,plain,
( ! [X2,X0,X1] : remove_slb(insert_slb(X0,pair(X1,X2)),X1) = X0
| ~ spl16_31 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f1822,plain,
( spl16_159
| ~ spl16_11
| ~ spl16_92 ),
inference(avatar_split_clause,[],[f830,f744,f257,f1820]) ).
fof(f1820,plain,
( spl16_159
<=> ! [X0,X1] : insert_slb(create_slb,pair(X0,X1)) = update_slb(insert_slb(create_slb,pair(X0,X1)),bottom) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_159])]) ).
fof(f257,plain,
( spl16_11
<=> ! [X0] : create_slb = update_slb(create_slb,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_11])]) ).
fof(f830,plain,
( ! [X0,X1] : insert_slb(create_slb,pair(X0,X1)) = update_slb(insert_slb(create_slb,pair(X0,X1)),bottom)
| ~ spl16_11
| ~ spl16_92 ),
inference(superposition,[],[f745,f258]) ).
fof(f258,plain,
( ! [X0] : create_slb = update_slb(create_slb,X0)
| ~ spl16_11 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f1818,plain,
( spl16_158
| ~ spl16_31
| ~ spl16_91 ),
inference(avatar_split_clause,[],[f819,f740,f343,f1816]) ).
fof(f1816,plain,
( spl16_158
<=> ! [X2,X0,X1] : update_slb(X0,X1) = remove_slb(update_slb(insert_slb(X0,pair(X2,X1)),X1),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_158])]) ).
fof(f819,plain,
( ! [X2,X0,X1] : update_slb(X0,X1) = remove_slb(update_slb(insert_slb(X0,pair(X2,X1)),X1),X2)
| ~ spl16_31
| ~ spl16_91 ),
inference(superposition,[],[f344,f741]) ).
fof(f1814,plain,
( spl16_157
| ~ spl16_11
| ~ spl16_91 ),
inference(avatar_split_clause,[],[f815,f740,f257,f1812]) ).
fof(f1812,plain,
( spl16_157
<=> ! [X0,X1] : insert_slb(create_slb,pair(X1,X0)) = update_slb(insert_slb(create_slb,pair(X1,X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_157])]) ).
fof(f815,plain,
( ! [X0,X1] : insert_slb(create_slb,pair(X1,X0)) = update_slb(insert_slb(create_slb,pair(X1,X0)),X0)
| ~ spl16_11
| ~ spl16_91 ),
inference(superposition,[],[f741,f258]) ).
fof(f1805,plain,
( spl16_156
| ~ spl16_44
| ~ spl16_84 ),
inference(avatar_split_clause,[],[f708,f704,f411,f1803]) ).
fof(f1803,plain,
( spl16_156
<=> ! [X0,X3,X2,X1] :
( ~ contains_pq(insert_pq(X0,X1),X2)
| contains_pq(insert_pq(X0,X3),X2)
| X1 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_156])]) ).
fof(f411,plain,
( spl16_44
<=> ! [X2,X0,X1] :
( X1 = X2
| contains_pq(X0,X2)
| ~ contains_pq(insert_pq(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_44])]) ).
fof(f708,plain,
( ! [X2,X3,X0,X1] :
( ~ contains_pq(insert_pq(X0,X1),X2)
| contains_pq(insert_pq(X0,X3),X2)
| X1 = X2 )
| ~ spl16_44
| ~ spl16_84 ),
inference(resolution,[],[f705,f412]) ).
fof(f412,plain,
( ! [X2,X0,X1] :
( ~ contains_pq(insert_pq(X0,X1),X2)
| contains_pq(X0,X2)
| X1 = X2 )
| ~ spl16_44 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f1790,plain,
( spl16_155
| ~ spl16_3
| ~ spl16_105 ),
inference(avatar_split_clause,[],[f1075,f1064,f224,f1788]) ).
fof(f1788,plain,
( spl16_155
<=> ! [X0,X1] :
( sK15(insert_pq(create_pq,X0),X1) = X0
| issmallestelement_pq(insert_pq(create_pq,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_155])]) ).
fof(f224,plain,
( spl16_3
<=> ! [X0] : ~ contains_pq(create_pq,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_3])]) ).
fof(f1064,plain,
( spl16_105
<=> ! [X2,X0,X1] :
( contains_pq(X0,sK15(insert_pq(X0,X1),X2))
| sK15(insert_pq(X0,X1),X2) = X1
| issmallestelement_pq(insert_pq(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_105])]) ).
fof(f1075,plain,
( ! [X0,X1] :
( sK15(insert_pq(create_pq,X0),X1) = X0
| issmallestelement_pq(insert_pq(create_pq,X0),X1) )
| ~ spl16_3
| ~ spl16_105 ),
inference(resolution,[],[f1065,f225]) ).
fof(f225,plain,
( ! [X0] : ~ contains_pq(create_pq,X0)
| ~ spl16_3 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f1065,plain,
( ! [X2,X0,X1] :
( contains_pq(X0,sK15(insert_pq(X0,X1),X2))
| sK15(insert_pq(X0,X1),X2) = X1
| issmallestelement_pq(insert_pq(X0,X1),X2) )
| ~ spl16_105 ),
inference(avatar_component_clause,[],[f1064]) ).
fof(f1786,plain,
( spl16_154
| ~ spl16_55
| ~ spl16_78 ),
inference(avatar_split_clause,[],[f671,f666,f491,f1784]) ).
fof(f1784,plain,
( spl16_154
<=> ! [X4,X0,X3,X2,X1] :
( ok(insert_cpq(insert_cpq(triple(X0,X2,X3),X1),X4))
| bad = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_154])]) ).
fof(f666,plain,
( spl16_78
<=> ! [X0,X3,X2,X1] :
( ok(insert_cpq(triple(X0,X2,X3),X1))
| bad = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_78])]) ).
fof(f671,plain,
( ! [X2,X3,X0,X1,X4] :
( ok(insert_cpq(insert_cpq(triple(X0,X2,X3),X1),X4))
| bad = X3 )
| ~ spl16_55
| ~ spl16_78 ),
inference(superposition,[],[f667,f492]) ).
fof(f667,plain,
( ! [X2,X3,X0,X1] :
( ok(insert_cpq(triple(X0,X2,X3),X1))
| bad = X3 )
| ~ spl16_78 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f1782,plain,
( spl16_153
| ~ spl16_55
| ~ spl16_77 ),
inference(avatar_split_clause,[],[f669,f662,f491,f1780]) ).
fof(f1780,plain,
( spl16_153
<=> ! [X4,X0,X3,X2,X1] :
( ~ check_cpq(insert_cpq(insert_cpq(triple(X0,X2,X3),X1),X4))
| ~ strictly_less_than(X4,bottom) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_153])]) ).
fof(f662,plain,
( spl16_77
<=> ! [X0,X3,X2,X1] :
( ~ check_cpq(insert_cpq(triple(X0,X2,X3),X1))
| ~ strictly_less_than(X1,bottom) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_77])]) ).
fof(f669,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ check_cpq(insert_cpq(insert_cpq(triple(X0,X2,X3),X1),X4))
| ~ strictly_less_than(X4,bottom) )
| ~ spl16_55
| ~ spl16_77 ),
inference(superposition,[],[f663,f492]) ).
fof(f663,plain,
( ! [X2,X3,X0,X1] :
( ~ check_cpq(insert_cpq(triple(X0,X2,X3),X1))
| ~ strictly_less_than(X1,bottom) )
| ~ spl16_77 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f1745,plain,
( spl16_152
| ~ spl16_14
| ~ spl16_18
| ~ spl16_141 ),
inference(avatar_split_clause,[],[f1636,f1611,f286,f269,f1743]) ).
fof(f1743,plain,
( spl16_152
<=> ! [X0] : removemin_pq_eff(insert_pq(X0,bottom),bottom) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_152])]) ).
fof(f1611,plain,
( spl16_141
<=> ! [X0] :
( removemin_pq_eff(X0,bottom) = remove_pq(X0,bottom)
| ~ contains_pq(X0,bottom) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_141])]) ).
fof(f1636,plain,
( ! [X0] : removemin_pq_eff(insert_pq(X0,bottom),bottom) = X0
| ~ spl16_14
| ~ spl16_18
| ~ spl16_141 ),
inference(forward_demodulation,[],[f1630,f287]) ).
fof(f1630,plain,
( ! [X0] : removemin_pq_eff(insert_pq(X0,bottom),bottom) = remove_pq(insert_pq(X0,bottom),bottom)
| ~ spl16_14
| ~ spl16_141 ),
inference(resolution,[],[f1612,f270]) ).
fof(f1612,plain,
( ! [X0] :
( ~ contains_pq(X0,bottom)
| removemin_pq_eff(X0,bottom) = remove_pq(X0,bottom) )
| ~ spl16_141 ),
inference(avatar_component_clause,[],[f1611]) ).
fof(f1688,plain,
( spl16_151
| ~ spl16_14
| ~ spl16_102 ),
inference(avatar_split_clause,[],[f1037,f983,f269,f1686]) ).
fof(f1686,plain,
( spl16_151
<=> ! [X5,X3,X4,X6,X1] : contains_pq(i(triple(X4,insert_slb(X1,pair(X3,X5)),X6)),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_151])]) ).
fof(f1037,plain,
( ! [X3,X1,X6,X4,X5] : contains_pq(i(triple(X4,insert_slb(X1,pair(X3,X5)),X6)),X3)
| ~ spl16_14
| ~ spl16_102 ),
inference(superposition,[],[f270,f984]) ).
fof(f1684,plain,
( spl16_150
| ~ spl16_73
| ~ spl16_94 ),
inference(avatar_split_clause,[],[f997,f863,f633,f1682]) ).
fof(f1682,plain,
( spl16_150
<=> ! [X4,X0,X3,X2,X1] : contains_pq(insert_pq(i(insert_cpq(triple(X0,X2,X3),X1)),X4),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_150])]) ).
fof(f997,plain,
( ! [X2,X3,X0,X1,X4] : contains_pq(insert_pq(i(insert_cpq(triple(X0,X2,X3),X1)),X4),X1)
| ~ spl16_73
| ~ spl16_94 ),
inference(superposition,[],[f634,f864]) ).
fof(f1680,plain,
( spl16_149
| ~ spl16_17
| ~ spl16_94 ),
inference(avatar_split_clause,[],[f987,f863,f282,f1678]) ).
fof(f1678,plain,
( spl16_149
<=> ! [X2,X0,X1] : i(insert_cpq(triple(X0,create_slb,X2),X1)) = insert_pq(create_pq,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_149])]) ).
fof(f987,plain,
( ! [X2,X0,X1] : i(insert_cpq(triple(X0,create_slb,X2),X1)) = insert_pq(create_pq,X1)
| ~ spl16_17
| ~ spl16_94 ),
inference(superposition,[],[f864,f283]) ).
fof(f1676,plain,
( spl16_148
| ~ spl16_32
| ~ spl16_92 ),
inference(avatar_split_clause,[],[f835,f744,f347,f1674]) ).
fof(f1674,plain,
( spl16_148
<=> ! [X2,X0,X1] : lookup_slb(update_slb(insert_slb(X0,pair(X1,X2)),bottom),X1) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_148])]) ).
fof(f347,plain,
( spl16_32
<=> ! [X2,X0,X1] : lookup_slb(insert_slb(X0,pair(X1,X2)),X1) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_32])]) ).
fof(f835,plain,
( ! [X2,X0,X1] : lookup_slb(update_slb(insert_slb(X0,pair(X1,X2)),bottom),X1) = X2
| ~ spl16_32
| ~ spl16_92 ),
inference(superposition,[],[f348,f745]) ).
fof(f348,plain,
( ! [X2,X0,X1] : lookup_slb(insert_slb(X0,pair(X1,X2)),X1) = X2
| ~ spl16_32 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f1672,plain,
( spl16_147
| ~ spl16_32
| ~ spl16_91 ),
inference(avatar_split_clause,[],[f820,f740,f347,f1670]) ).
fof(f1670,plain,
( spl16_147
<=> ! [X2,X0,X1] : lookup_slb(update_slb(insert_slb(X0,pair(X2,X1)),X1),X2) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_147])]) ).
fof(f820,plain,
( ! [X2,X0,X1] : lookup_slb(update_slb(insert_slb(X0,pair(X2,X1)),X1),X2) = X1
| ~ spl16_32
| ~ spl16_91 ),
inference(superposition,[],[f348,f741]) ).
fof(f1668,plain,
( spl16_146
| ~ spl16_73
| ~ spl16_86 ),
inference(avatar_split_clause,[],[f781,f720,f633,f1666]) ).
fof(f1666,plain,
( spl16_146
<=> ! [X4,X0,X3,X2,X1] : contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_146])]) ).
fof(f781,plain,
( ! [X2,X3,X0,X1,X4] : contains_pq(insert_pq(insert_pq(insert_pq(insert_pq(X0,X3),X1),X2),X4),X3)
| ~ spl16_73
| ~ spl16_86 ),
inference(superposition,[],[f634,f721]) ).
fof(f1629,plain,
( spl16_145
| ~ spl16_10
| ~ spl16_102 ),
inference(avatar_split_clause,[],[f1036,f983,f253,f1627]) ).
fof(f1627,plain,
( spl16_145
<=> ! [X5,X3,X4,X6,X1] : isnonempty_pq(i(triple(X4,insert_slb(X1,pair(X3,X5)),X6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_145])]) ).
fof(f253,plain,
( spl16_10
<=> ! [X0,X1] : isnonempty_pq(insert_pq(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_10])]) ).
fof(f1036,plain,
( ! [X3,X1,X6,X4,X5] : isnonempty_pq(i(triple(X4,insert_slb(X1,pair(X3,X5)),X6)))
| ~ spl16_10
| ~ spl16_102 ),
inference(superposition,[],[f254,f984]) ).
fof(f254,plain,
( ! [X0,X1] : isnonempty_pq(insert_pq(X0,X1))
| ~ spl16_10 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f1625,plain,
( spl16_144
| ~ spl16_12
| ~ spl16_96 ),
inference(avatar_split_clause,[],[f1009,f871,f261,f1623]) ).
fof(f1623,plain,
( spl16_144
<=> ! [X2,X0,X1] :
( check_cpq(insert_cpq(triple(X0,create_slb,X1),X2))
| ~ less_than(bottom,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_144])]) ).
fof(f261,plain,
( spl16_12
<=> ! [X0,X1] : check_cpq(triple(X0,create_slb,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_12])]) ).
fof(f871,plain,
( spl16_96
<=> ! [X0,X3,X2,X1] :
( check_cpq(insert_cpq(triple(X0,X2,X3),X1))
| ~ check_cpq(triple(insert_pqp(X0,X1),X2,X3))
| ~ less_than(bottom,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_96])]) ).
fof(f1009,plain,
( ! [X2,X0,X1] :
( check_cpq(insert_cpq(triple(X0,create_slb,X1),X2))
| ~ less_than(bottom,X2) )
| ~ spl16_12
| ~ spl16_96 ),
inference(resolution,[],[f872,f262]) ).
fof(f262,plain,
( ! [X0,X1] : check_cpq(triple(X0,create_slb,X1))
| ~ spl16_12 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f872,plain,
( ! [X2,X3,X0,X1] :
( ~ check_cpq(triple(insert_pqp(X0,X1),X2,X3))
| check_cpq(insert_cpq(triple(X0,X2,X3),X1))
| ~ less_than(bottom,X1) )
| ~ spl16_96 ),
inference(avatar_component_clause,[],[f871]) ).
fof(f1621,plain,
( spl16_143
| ~ spl16_28
| ~ spl16_92 ),
inference(avatar_split_clause,[],[f833,f744,f326,f1619]) ).
fof(f1619,plain,
( spl16_143
<=> ! [X2,X0,X1] : pair_in_list(update_slb(insert_slb(X0,pair(X1,X2)),bottom),X1,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_143])]) ).
fof(f326,plain,
( spl16_28
<=> ! [X4,X0,X2] : pair_in_list(insert_slb(X0,pair(X2,X4)),X2,X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_28])]) ).
fof(f833,plain,
( ! [X2,X0,X1] : pair_in_list(update_slb(insert_slb(X0,pair(X1,X2)),bottom),X1,X2)
| ~ spl16_28
| ~ spl16_92 ),
inference(superposition,[],[f327,f745]) ).
fof(f327,plain,
( ! [X2,X0,X4] : pair_in_list(insert_slb(X0,pair(X2,X4)),X2,X4)
| ~ spl16_28 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f1617,plain,
( spl16_142
| ~ spl16_28
| ~ spl16_91 ),
inference(avatar_split_clause,[],[f818,f740,f326,f1615]) ).
fof(f1615,plain,
( spl16_142
<=> ! [X2,X0,X1] : pair_in_list(update_slb(insert_slb(X0,pair(X2,X1)),X1),X2,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_142])]) ).
fof(f818,plain,
( ! [X2,X0,X1] : pair_in_list(update_slb(insert_slb(X0,pair(X2,X1)),X1),X2,X1)
| ~ spl16_28
| ~ spl16_91 ),
inference(superposition,[],[f327,f741]) ).
fof(f1613,plain,
( spl16_141
| ~ spl16_36
| ~ spl16_48 ),
inference(avatar_split_clause,[],[f461,f453,f373,f1611]) ).
fof(f373,plain,
( spl16_36
<=> ! [X0] : issmallestelement_pq(X0,bottom) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_36])]) ).
fof(f453,plain,
( spl16_48
<=> ! [X0,X1] :
( removemin_pq_eff(X0,X1) = remove_pq(X0,X1)
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_48])]) ).
fof(f461,plain,
( ! [X0] :
( removemin_pq_eff(X0,bottom) = remove_pq(X0,bottom)
| ~ contains_pq(X0,bottom) )
| ~ spl16_36
| ~ spl16_48 ),
inference(resolution,[],[f454,f374]) ).
fof(f374,plain,
( ! [X0] : issmallestelement_pq(X0,bottom)
| ~ spl16_36 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f454,plain,
( ! [X0,X1] :
( ~ issmallestelement_pq(X0,X1)
| removemin_pq_eff(X0,X1) = remove_pq(X0,X1)
| ~ contains_pq(X0,X1) )
| ~ spl16_48 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f1479,plain,
( spl16_140
| ~ spl16_14
| ~ spl16_94 ),
inference(avatar_split_clause,[],[f991,f863,f269,f1477]) ).
fof(f1477,plain,
( spl16_140
<=> ! [X2,X0,X1,X3] : contains_pq(i(insert_cpq(triple(X0,X2,X3),X1)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_140])]) ).
fof(f991,plain,
( ! [X2,X3,X0,X1] : contains_pq(i(insert_cpq(triple(X0,X2,X3),X1)),X1)
| ~ spl16_14
| ~ spl16_94 ),
inference(superposition,[],[f270,f864]) ).
fof(f1475,plain,
( spl16_139
| ~ spl16_21
| ~ spl16_92 ),
inference(avatar_split_clause,[],[f832,f744,f298,f1473]) ).
fof(f1473,plain,
( spl16_139
<=> ! [X2,X0,X1] : contains_slb(update_slb(insert_slb(X0,pair(X1,X2)),bottom),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_139])]) ).
fof(f298,plain,
( spl16_21
<=> ! [X2,X0,X3] : contains_slb(insert_slb(X0,pair(X2,X3)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_21])]) ).
fof(f832,plain,
( ! [X2,X0,X1] : contains_slb(update_slb(insert_slb(X0,pair(X1,X2)),bottom),X1)
| ~ spl16_21
| ~ spl16_92 ),
inference(superposition,[],[f299,f745]) ).
fof(f299,plain,
( ! [X2,X3,X0] : contains_slb(insert_slb(X0,pair(X2,X3)),X2)
| ~ spl16_21 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f1471,plain,
( spl16_138
| ~ spl16_14
| ~ spl16_108 ),
inference(avatar_split_clause,[],[f1417,f1087,f269,f1469]) ).
fof(f1469,plain,
( spl16_138
<=> ! [X0] : bottom = removemin_pq_res(insert_pq(X0,bottom),bottom) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_138])]) ).
fof(f1417,plain,
( ! [X0] : bottom = removemin_pq_res(insert_pq(X0,bottom),bottom)
| ~ spl16_14
| ~ spl16_108 ),
inference(resolution,[],[f1088,f270]) ).
fof(f1467,plain,
( spl16_137
| ~ spl16_21
| ~ spl16_91 ),
inference(avatar_split_clause,[],[f817,f740,f298,f1465]) ).
fof(f1465,plain,
( spl16_137
<=> ! [X2,X0,X1] : contains_slb(update_slb(insert_slb(X0,pair(X2,X1)),X1),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_137])]) ).
fof(f817,plain,
( ! [X2,X0,X1] : contains_slb(update_slb(insert_slb(X0,pair(X2,X1)),X1),X2)
| ~ spl16_21
| ~ spl16_91 ),
inference(superposition,[],[f299,f741]) ).
fof(f1463,plain,
( spl16_136
| ~ spl16_5
| ~ spl16_83 ),
inference(avatar_split_clause,[],[f707,f700,f232,f1461]) ).
fof(f1461,plain,
( spl16_136
<=> ! [X0,X1] : succ_cpq(triple(X0,create_slb,X1),triple(X0,create_slb,bad)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_136])]) ).
fof(f232,plain,
( spl16_5
<=> ! [X0] : succ_cpq(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_5])]) ).
fof(f700,plain,
( spl16_83
<=> ! [X2,X0,X1] :
( succ_cpq(X2,triple(X0,create_slb,bad))
| ~ succ_cpq(X2,triple(X0,create_slb,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_83])]) ).
fof(f707,plain,
( ! [X0,X1] : succ_cpq(triple(X0,create_slb,X1),triple(X0,create_slb,bad))
| ~ spl16_5
| ~ spl16_83 ),
inference(resolution,[],[f701,f233]) ).
fof(f233,plain,
( ! [X0] : succ_cpq(X0,X0)
| ~ spl16_5 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f701,plain,
( ! [X2,X0,X1] :
( ~ succ_cpq(X2,triple(X0,create_slb,X1))
| succ_cpq(X2,triple(X0,create_slb,bad)) )
| ~ spl16_83 ),
inference(avatar_component_clause,[],[f700]) ).
fof(f1459,plain,
( spl16_135
| ~ spl16_15
| ~ spl16_76 ),
inference(avatar_split_clause,[],[f659,f653,f273,f1457]) ).
fof(f1457,plain,
( spl16_135
<=> ! [X2,X0,X1] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_135])]) ).
fof(f273,plain,
( spl16_15
<=> ! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_15])]) ).
fof(f653,plain,
( spl16_76
<=> ! [X2,X0,X1] :
( less_than(X0,X1)
| ~ less_than(X0,X2)
| less_than(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_76])]) ).
fof(f659,plain,
( ! [X2,X0,X1] :
( less_than(X0,X1)
| less_than(X1,X2)
| less_than(X2,X0) )
| ~ spl16_15
| ~ spl16_76 ),
inference(resolution,[],[f654,f274]) ).
fof(f274,plain,
( ! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) )
| ~ spl16_15 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f654,plain,
( ! [X2,X0,X1] :
( ~ less_than(X0,X2)
| less_than(X0,X1)
| less_than(X1,X2) )
| ~ spl16_76 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f1455,plain,
( spl16_134
| ~ spl16_51
| ~ spl16_76 ),
inference(avatar_split_clause,[],[f658,f653,f471,f1453]) ).
fof(f1453,plain,
( spl16_134
<=> ! [X2,X0,X1] :
( less_than(X0,X1)
| less_than(X1,X2)
| strictly_less_than(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_134])]) ).
fof(f658,plain,
( ! [X2,X0,X1] :
( less_than(X0,X1)
| less_than(X1,X2)
| strictly_less_than(X2,X0) )
| ~ spl16_51
| ~ spl16_76 ),
inference(resolution,[],[f654,f472]) ).
fof(f1451,plain,
( spl16_133
| ~ spl16_55
| ~ spl16_74 ),
inference(avatar_split_clause,[],[f647,f637,f491,f1449]) ).
fof(f1449,plain,
( spl16_133
<=> ! [X2,X0,X1,X3] : ~ ok(insert_cpq(insert_cpq(triple(X0,X2,bad),X1),X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_133])]) ).
fof(f637,plain,
( spl16_74
<=> ! [X2,X0,X1] : ~ ok(insert_cpq(triple(X0,X2,bad),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_74])]) ).
fof(f647,plain,
( ! [X2,X3,X0,X1] : ~ ok(insert_cpq(insert_cpq(triple(X0,X2,bad),X1),X3))
| ~ spl16_55
| ~ spl16_74 ),
inference(superposition,[],[f638,f492]) ).
fof(f638,plain,
( ! [X2,X0,X1] : ~ ok(insert_cpq(triple(X0,X2,bad),X1))
| ~ spl16_74 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f1447,plain,
( spl16_132
| ~ spl16_43
| ~ spl16_73 ),
inference(avatar_split_clause,[],[f642,f633,f407,f1445]) ).
fof(f1445,plain,
( spl16_132
<=> ! [X2,X0,X1,X3] : contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_132])]) ).
fof(f642,plain,
( ! [X2,X3,X0,X1] : contains_pq(insert_pq(insert_pq(insert_pq(X0,X2),X1),X3),X2)
| ~ spl16_43
| ~ spl16_73 ),
inference(superposition,[],[f634,f408]) ).
fof(f1443,plain,
( spl16_131
| ~ spl16_33
| ~ spl16_51 ),
inference(avatar_split_clause,[],[f548,f471,f351,f1441]) ).
fof(f1441,plain,
( spl16_131
<=> ! [X2,X0,X1] :
( strictly_less_than(X0,X1)
| less_than(X2,X0)
| ~ less_than(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_131])]) ).
fof(f548,plain,
( ! [X2,X0,X1] :
( strictly_less_than(X0,X1)
| less_than(X2,X0)
| ~ less_than(X2,X1) )
| ~ spl16_33
| ~ spl16_51 ),
inference(resolution,[],[f472,f352]) ).
fof(f1427,plain,
( spl16_130
| ~ spl16_14
| ~ spl16_103 ),
inference(avatar_split_clause,[],[f1413,f1006,f269,f1425]) ).
fof(f1425,plain,
( spl16_130
<=> ! [X0] : bottom = findmin_pq_res(insert_pq(X0,bottom),bottom) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_130])]) ).
fof(f1413,plain,
( ! [X0] : bottom = findmin_pq_res(insert_pq(X0,bottom),bottom)
| ~ spl16_14
| ~ spl16_103 ),
inference(resolution,[],[f1007,f270]) ).
fof(f1412,plain,
( spl16_129
| ~ spl16_10
| ~ spl16_94 ),
inference(avatar_split_clause,[],[f990,f863,f253,f1410]) ).
fof(f1410,plain,
( spl16_129
<=> ! [X2,X0,X1,X3] : isnonempty_pq(i(insert_cpq(triple(X0,X2,X3),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_129])]) ).
fof(f990,plain,
( ! [X2,X3,X0,X1] : isnonempty_pq(i(insert_cpq(triple(X0,X2,X3),X1)))
| ~ spl16_10
| ~ spl16_94 ),
inference(superposition,[],[f254,f864]) ).
fof(f1382,plain,
( spl16_128
| ~ spl16_32
| ~ spl16_68 ),
inference(avatar_split_clause,[],[f597,f585,f347,f1380]) ).
fof(f1380,plain,
( spl16_128
<=> ! [X0,X3,X2,X1] :
( ~ less_than(X2,findmin_pqp_res(X1))
| findmin_cpq_eff(triple(X1,insert_slb(X0,pair(findmin_pqp_res(X1),X2)),X3)) = triple(X1,update_slb(insert_slb(X0,pair(findmin_pqp_res(X1),X2)),findmin_pqp_res(X1)),X3)
| ~ contains_slb(insert_slb(X0,pair(findmin_pqp_res(X1),X2)),findmin_pqp_res(X1))
| create_slb = insert_slb(X0,pair(findmin_pqp_res(X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_128])]) ).
fof(f585,plain,
( spl16_68
<=> ! [X2,X0,X1] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_68])]) ).
fof(f597,plain,
( ! [X2,X3,X0,X1] :
( ~ less_than(X2,findmin_pqp_res(X1))
| findmin_cpq_eff(triple(X1,insert_slb(X0,pair(findmin_pqp_res(X1),X2)),X3)) = triple(X1,update_slb(insert_slb(X0,pair(findmin_pqp_res(X1),X2)),findmin_pqp_res(X1)),X3)
| ~ contains_slb(insert_slb(X0,pair(findmin_pqp_res(X1),X2)),findmin_pqp_res(X1))
| create_slb = insert_slb(X0,pair(findmin_pqp_res(X1),X2)) )
| ~ spl16_32
| ~ spl16_68 ),
inference(superposition,[],[f586,f348]) ).
fof(f586,plain,
( ! [X2,X0,X1] :
( ~ less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
| findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 )
| ~ spl16_68 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f1378,plain,
( spl16_127
| ~ spl16_32
| ~ spl16_67 ),
inference(avatar_split_clause,[],[f593,f581,f347,f1376]) ).
fof(f1376,plain,
( spl16_127
<=> ! [X0,X3,X2,X1] :
( ~ strictly_less_than(findmin_pqp_res(X1),X2)
| findmin_cpq_eff(triple(X1,insert_slb(X0,pair(findmin_pqp_res(X1),X2)),X3)) = triple(X1,update_slb(insert_slb(X0,pair(findmin_pqp_res(X1),X2)),findmin_pqp_res(X1)),bad)
| ~ contains_slb(insert_slb(X0,pair(findmin_pqp_res(X1),X2)),findmin_pqp_res(X1))
| create_slb = insert_slb(X0,pair(findmin_pqp_res(X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_127])]) ).
fof(f581,plain,
( spl16_67
<=> ! [X2,X0,X1] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_67])]) ).
fof(f593,plain,
( ! [X2,X3,X0,X1] :
( ~ strictly_less_than(findmin_pqp_res(X1),X2)
| findmin_cpq_eff(triple(X1,insert_slb(X0,pair(findmin_pqp_res(X1),X2)),X3)) = triple(X1,update_slb(insert_slb(X0,pair(findmin_pqp_res(X1),X2)),findmin_pqp_res(X1)),bad)
| ~ contains_slb(insert_slb(X0,pair(findmin_pqp_res(X1),X2)),findmin_pqp_res(X1))
| create_slb = insert_slb(X0,pair(findmin_pqp_res(X1),X2)) )
| ~ spl16_32
| ~ spl16_67 ),
inference(superposition,[],[f582,f348]) ).
fof(f582,plain,
( ! [X2,X0,X1] :
( ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
| findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 )
| ~ spl16_67 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f1316,plain,
( spl16_126
| ~ spl16_16
| ~ spl16_92 ),
inference(avatar_split_clause,[],[f831,f744,f277,f1314]) ).
fof(f1314,plain,
( spl16_126
<=> ! [X2,X0,X1] : isnonempty_slb(update_slb(insert_slb(X0,pair(X1,X2)),bottom)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_126])]) ).
fof(f277,plain,
( spl16_16
<=> ! [X2,X0,X1] : isnonempty_slb(insert_slb(X0,pair(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_16])]) ).
fof(f831,plain,
( ! [X2,X0,X1] : isnonempty_slb(update_slb(insert_slb(X0,pair(X1,X2)),bottom))
| ~ spl16_16
| ~ spl16_92 ),
inference(superposition,[],[f278,f745]) ).
fof(f278,plain,
( ! [X2,X0,X1] : isnonempty_slb(insert_slb(X0,pair(X1,X2)))
| ~ spl16_16 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f1312,plain,
( spl16_125
| ~ spl16_63
| ~ spl16_64 ),
inference(avatar_split_clause,[],[f563,f557,f550,f1310]) ).
fof(f1310,plain,
( spl16_125
<=> ! [X4,X0,X3,X2,X1] :
( remove_slb(insert_slb(X0,pair(X1,X2)),findmin_pqp_res(X3)) = insert_slb(remove_slb(X0,findmin_pqp_res(X3)),pair(X1,X2))
| findmin_pqp_res(X3) = X1
| findmin_cpq_eff(triple(X3,X0,X4)) = triple(X3,update_slb(X0,findmin_pqp_res(X3)),bad)
| create_slb = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_125])]) ).
fof(f550,plain,
( spl16_63
<=> ! [X2,X0,X1] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_63])]) ).
fof(f557,plain,
( spl16_64
<=> ! [X0,X3,X2,X1] :
( remove_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(remove_slb(X0,X2),pair(X1,X3))
| ~ contains_slb(X0,X2)
| X1 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_64])]) ).
fof(f563,plain,
( ! [X2,X3,X0,X1,X4] :
( remove_slb(insert_slb(X0,pair(X1,X2)),findmin_pqp_res(X3)) = insert_slb(remove_slb(X0,findmin_pqp_res(X3)),pair(X1,X2))
| findmin_pqp_res(X3) = X1
| findmin_cpq_eff(triple(X3,X0,X4)) = triple(X3,update_slb(X0,findmin_pqp_res(X3)),bad)
| create_slb = X0 )
| ~ spl16_63
| ~ spl16_64 ),
inference(resolution,[],[f558,f551]) ).
fof(f551,plain,
( ! [X2,X0,X1] :
( contains_slb(X1,findmin_pqp_res(X0))
| findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| create_slb = X1 )
| ~ spl16_63 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f558,plain,
( ! [X2,X3,X0,X1] :
( ~ contains_slb(X0,X2)
| remove_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(remove_slb(X0,X2),pair(X1,X3))
| X1 = X2 )
| ~ spl16_64 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f1302,plain,
( spl16_124
| ~ spl16_49
| ~ spl16_63 ),
inference(avatar_split_clause,[],[f554,f550,f457,f1300]) ).
fof(f1300,plain,
( spl16_124
<=> ! [X4,X0,X3,X2,X1] :
( findmin_cpq_eff(triple(X0,insert_slb(X1,pair(X2,X3)),X4)) = triple(X0,update_slb(insert_slb(X1,pair(X2,X3)),findmin_pqp_res(X0)),bad)
| create_slb = insert_slb(X1,pair(X2,X3))
| contains_slb(X1,findmin_pqp_res(X0))
| findmin_pqp_res(X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_124])]) ).
fof(f554,plain,
( ! [X2,X3,X0,X1,X4] :
( findmin_cpq_eff(triple(X0,insert_slb(X1,pair(X2,X3)),X4)) = triple(X0,update_slb(insert_slb(X1,pair(X2,X3)),findmin_pqp_res(X0)),bad)
| create_slb = insert_slb(X1,pair(X2,X3))
| contains_slb(X1,findmin_pqp_res(X0))
| findmin_pqp_res(X0) = X2 )
| ~ spl16_49
| ~ spl16_63 ),
inference(resolution,[],[f551,f458]) ).
fof(f1251,plain,
( spl16_123
| ~ spl16_56
| ~ spl16_63 ),
inference(avatar_split_clause,[],[f555,f550,f495,f1249]) ).
fof(f1249,plain,
( spl16_123
<=> ! [X4,X0,X3,X2,X1] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| create_slb = X1
| lookup_slb(X1,findmin_pqp_res(X0)) = lookup_slb(insert_slb(X1,pair(X3,X4)),findmin_pqp_res(X0))
| findmin_pqp_res(X0) = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_123])]) ).
fof(f495,plain,
( spl16_56
<=> ! [X0,X3,X2,X1] :
( lookup_slb(insert_slb(X0,pair(X1,X3)),X2) = lookup_slb(X0,X2)
| ~ contains_slb(X0,X2)
| X1 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_56])]) ).
fof(f555,plain,
( ! [X2,X3,X0,X1,X4] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| create_slb = X1
| lookup_slb(X1,findmin_pqp_res(X0)) = lookup_slb(insert_slb(X1,pair(X3,X4)),findmin_pqp_res(X0))
| findmin_pqp_res(X0) = X3 )
| ~ spl16_56
| ~ spl16_63 ),
inference(resolution,[],[f551,f496]) ).
fof(f496,plain,
( ! [X2,X3,X0,X1] :
( ~ contains_slb(X0,X2)
| lookup_slb(insert_slb(X0,pair(X1,X3)),X2) = lookup_slb(X0,X2)
| X1 = X2 )
| ~ spl16_56 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f1217,plain,
( spl16_122
| ~ spl16_50
| ~ spl16_64 ),
inference(avatar_split_clause,[],[f562,f557,f465,f1215]) ).
fof(f1215,plain,
( spl16_122
<=> ! [X5,X4,X0,X3,X2,X1] :
( remove_slb(insert_slb(X0,pair(X1,X2)),X3) = insert_slb(remove_slb(X0,X3),pair(X1,X2))
| X1 = X3
| triple(X4,X0,bad) = remove_cpq(triple(X4,X0,X5),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_122])]) ).
fof(f465,plain,
( spl16_50
<=> ! [X0,X3,X2,X1] :
( triple(X0,X1,bad) = remove_cpq(triple(X0,X1,X2),X3)
| contains_slb(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_50])]) ).
fof(f562,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( remove_slb(insert_slb(X0,pair(X1,X2)),X3) = insert_slb(remove_slb(X0,X3),pair(X1,X2))
| X1 = X3
| triple(X4,X0,bad) = remove_cpq(triple(X4,X0,X5),X3) )
| ~ spl16_50
| ~ spl16_64 ),
inference(resolution,[],[f558,f466]) ).
fof(f466,plain,
( ! [X2,X3,X0,X1] :
( contains_slb(X1,X3)
| triple(X0,X1,bad) = remove_cpq(triple(X0,X1,X2),X3) )
| ~ spl16_50 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f1213,plain,
( spl16_121
| ~ spl16_38
| ~ spl16_64 ),
inference(avatar_split_clause,[],[f561,f557,f382,f1211]) ).
fof(f1211,plain,
( spl16_121
<=> ! [X3,X4,X0,X5,X2,X1] :
( remove_slb(insert_slb(insert_slb(X0,pair(X1,X2)),pair(X3,X4)),X5) = insert_slb(remove_slb(insert_slb(X0,pair(X1,X2)),X5),pair(X3,X4))
| X3 = X5
| ~ contains_slb(X0,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_121])]) ).
fof(f561,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( remove_slb(insert_slb(insert_slb(X0,pair(X1,X2)),pair(X3,X4)),X5) = insert_slb(remove_slb(insert_slb(X0,pair(X1,X2)),X5),pair(X3,X4))
| X3 = X5
| ~ contains_slb(X0,X5) )
| ~ spl16_38
| ~ spl16_64 ),
inference(resolution,[],[f558,f383]) ).
fof(f1203,plain,
( spl16_120
| ~ spl16_16
| ~ spl16_91 ),
inference(avatar_split_clause,[],[f816,f740,f277,f1201]) ).
fof(f1201,plain,
( spl16_120
<=> ! [X2,X0,X1] : isnonempty_slb(update_slb(insert_slb(X0,pair(X2,X1)),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_120])]) ).
fof(f816,plain,
( ! [X2,X0,X1] : isnonempty_slb(update_slb(insert_slb(X0,pair(X2,X1)),X1))
| ~ spl16_16
| ~ spl16_91 ),
inference(superposition,[],[f278,f741]) ).
fof(f1185,plain,
( spl16_119
| ~ spl16_15
| ~ spl16_68 ),
inference(avatar_split_clause,[],[f595,f585,f273,f1183]) ).
fof(f1183,plain,
( spl16_119
<=> ! [X2,X0,X1] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1
| less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_119])]) ).
fof(f595,plain,
( ! [X2,X0,X1] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1
| less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0))) )
| ~ spl16_15
| ~ spl16_68 ),
inference(resolution,[],[f586,f274]) ).
fof(f1181,plain,
( spl16_118
| ~ spl16_31
| ~ spl16_32
| ~ spl16_66 ),
inference(avatar_split_clause,[],[f579,f570,f347,f343,f1179]) ).
fof(f1179,plain,
( spl16_118
<=> ! [X2,X4,X0,X3,X1] :
( remove_cpq(triple(X3,insert_slb(X0,pair(X1,X2)),X4),X1) = triple(remove_pqp(X3,X1),X0,X4)
| ~ less_than(X2,X1)
| ~ contains_slb(insert_slb(X0,pair(X1,X2)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_118])]) ).
fof(f570,plain,
( spl16_66
<=> ! [X0,X3,X2,X1] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ less_than(lookup_slb(X1,X3),X3)
| ~ contains_slb(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_66])]) ).
fof(f579,plain,
( ! [X2,X3,X0,X1,X4] :
( remove_cpq(triple(X3,insert_slb(X0,pair(X1,X2)),X4),X1) = triple(remove_pqp(X3,X1),X0,X4)
| ~ less_than(X2,X1)
| ~ contains_slb(insert_slb(X0,pair(X1,X2)),X1) )
| ~ spl16_31
| ~ spl16_32
| ~ spl16_66 ),
inference(forward_demodulation,[],[f578,f344]) ).
fof(f578,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ less_than(X2,X1)
| remove_cpq(triple(X3,insert_slb(X0,pair(X1,X2)),X4),X1) = triple(remove_pqp(X3,X1),remove_slb(insert_slb(X0,pair(X1,X2)),X1),X4)
| ~ contains_slb(insert_slb(X0,pair(X1,X2)),X1) )
| ~ spl16_32
| ~ spl16_66 ),
inference(superposition,[],[f571,f348]) ).
fof(f571,plain,
( ! [X2,X3,X0,X1] :
( ~ less_than(lookup_slb(X1,X3),X3)
| remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ contains_slb(X1,X3) )
| ~ spl16_66 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f1177,plain,
( spl16_117
| ~ spl16_31
| ~ spl16_32
| ~ spl16_65 ),
inference(avatar_split_clause,[],[f574,f566,f347,f343,f1175]) ).
fof(f1175,plain,
( spl16_117
<=> ! [X2,X4,X0,X3,X1] :
( remove_cpq(triple(X3,insert_slb(X0,pair(X1,X2)),X4),X1) = triple(remove_pqp(X3,X1),X0,bad)
| ~ strictly_less_than(X1,X2)
| ~ contains_slb(insert_slb(X0,pair(X1,X2)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_117])]) ).
fof(f566,plain,
( spl16_65
<=> ! [X0,X3,X2,X1] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad)
| ~ strictly_less_than(X3,lookup_slb(X1,X3))
| ~ contains_slb(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_65])]) ).
fof(f574,plain,
( ! [X2,X3,X0,X1,X4] :
( remove_cpq(triple(X3,insert_slb(X0,pair(X1,X2)),X4),X1) = triple(remove_pqp(X3,X1),X0,bad)
| ~ strictly_less_than(X1,X2)
| ~ contains_slb(insert_slb(X0,pair(X1,X2)),X1) )
| ~ spl16_31
| ~ spl16_32
| ~ spl16_65 ),
inference(forward_demodulation,[],[f573,f344]) ).
fof(f573,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ strictly_less_than(X1,X2)
| remove_cpq(triple(X3,insert_slb(X0,pair(X1,X2)),X4),X1) = triple(remove_pqp(X3,X1),remove_slb(insert_slb(X0,pair(X1,X2)),X1),bad)
| ~ contains_slb(insert_slb(X0,pair(X1,X2)),X1) )
| ~ spl16_32
| ~ spl16_65 ),
inference(superposition,[],[f567,f348]) ).
fof(f567,plain,
( ! [X2,X3,X0,X1] :
( ~ strictly_less_than(X3,lookup_slb(X1,X3))
| remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad)
| ~ contains_slb(X1,X3) )
| ~ spl16_65 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f1147,plain,
( spl16_116
| ~ spl16_50
| ~ spl16_56 ),
inference(avatar_split_clause,[],[f526,f495,f465,f1145]) ).
fof(f1145,plain,
( spl16_116
<=> ! [X5,X4,X0,X3,X2,X1] :
( lookup_slb(insert_slb(X0,pair(X1,X2)),X3) = lookup_slb(X0,X3)
| X1 = X3
| triple(X4,X0,bad) = remove_cpq(triple(X4,X0,X5),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_116])]) ).
fof(f526,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( lookup_slb(insert_slb(X0,pair(X1,X2)),X3) = lookup_slb(X0,X3)
| X1 = X3
| triple(X4,X0,bad) = remove_cpq(triple(X4,X0,X5),X3) )
| ~ spl16_50
| ~ spl16_56 ),
inference(resolution,[],[f496,f466]) ).
fof(f1143,plain,
( spl16_115
| ~ spl16_38
| ~ spl16_56 ),
inference(avatar_split_clause,[],[f525,f495,f382,f1141]) ).
fof(f1141,plain,
( spl16_115
<=> ! [X3,X4,X0,X5,X2,X1] :
( lookup_slb(insert_slb(insert_slb(X0,pair(X1,X2)),pair(X3,X4)),X5) = lookup_slb(insert_slb(X0,pair(X1,X2)),X5)
| X3 = X5
| ~ contains_slb(X0,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_115])]) ).
fof(f525,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( lookup_slb(insert_slb(insert_slb(X0,pair(X1,X2)),pair(X3,X4)),X5) = lookup_slb(insert_slb(X0,pair(X1,X2)),X5)
| X3 = X5
| ~ contains_slb(X0,X5) )
| ~ spl16_38
| ~ spl16_56 ),
inference(resolution,[],[f496,f383]) ).
fof(f1139,plain,
( spl16_114
| ~ spl16_23
| ~ spl16_51 ),
inference(avatar_split_clause,[],[f546,f471,f306,f1137]) ).
fof(f1137,plain,
( spl16_114
<=> ! [X0,X1] :
( strictly_less_than(sK15(X0,X1),X1)
| issmallestelement_pq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_114])]) ).
fof(f306,plain,
( spl16_23
<=> ! [X0,X1] :
( issmallestelement_pq(X0,X1)
| ~ less_than(X1,sK15(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_23])]) ).
fof(f546,plain,
( ! [X0,X1] :
( strictly_less_than(sK15(X0,X1),X1)
| issmallestelement_pq(X0,X1) )
| ~ spl16_23
| ~ spl16_51 ),
inference(resolution,[],[f472,f307]) ).
fof(f307,plain,
( ! [X0,X1] :
( ~ less_than(X1,sK15(X0,X1))
| issmallestelement_pq(X0,X1) )
| ~ spl16_23 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f1135,plain,
( spl16_113
| ~ spl16_49
| ~ spl16_50 ),
inference(avatar_split_clause,[],[f469,f465,f457,f1133]) ).
fof(f1133,plain,
( spl16_113
<=> ! [X3,X4,X0,X5,X2,X1] :
( triple(X0,insert_slb(X1,pair(X2,X3)),bad) = remove_cpq(triple(X0,insert_slb(X1,pair(X2,X3)),X4),X5)
| contains_slb(X1,X5)
| X2 = X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_113])]) ).
fof(f469,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( triple(X0,insert_slb(X1,pair(X2,X3)),bad) = remove_cpq(triple(X0,insert_slb(X1,pair(X2,X3)),X4),X5)
| contains_slb(X1,X5)
| X2 = X5 )
| ~ spl16_49
| ~ spl16_50 ),
inference(resolution,[],[f466,f458]) ).
fof(f1121,plain,
( spl16_112
| ~ spl16_15
| ~ spl16_66 ),
inference(avatar_split_clause,[],[f576,f570,f273,f1119]) ).
fof(f1119,plain,
( spl16_112
<=> ! [X0,X3,X2,X1] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ contains_slb(X1,X3)
| less_than(X3,lookup_slb(X1,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_112])]) ).
fof(f576,plain,
( ! [X2,X3,X0,X1] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ contains_slb(X1,X3)
| less_than(X3,lookup_slb(X1,X3)) )
| ~ spl16_15
| ~ spl16_66 ),
inference(resolution,[],[f571,f274]) ).
fof(f1117,plain,
( spl16_111
| ~ spl16_22
| ~ spl16_54 ),
inference(avatar_split_clause,[],[f516,f487,f302,f1115]) ).
fof(f1115,plain,
( spl16_111
<=> ! [X2,X0,X1] :
( sK15(X1,X2) = X0
| remove_pq(insert_pq(X1,X0),sK15(X1,X2)) = insert_pq(remove_pq(X1,sK15(X1,X2)),X0)
| issmallestelement_pq(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_111])]) ).
fof(f302,plain,
( spl16_22
<=> ! [X0,X1] :
( issmallestelement_pq(X0,X1)
| contains_pq(X0,sK15(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_22])]) ).
fof(f487,plain,
( spl16_54
<=> ! [X2,X0,X1] :
( remove_pq(insert_pq(X0,X1),X2) = insert_pq(remove_pq(X0,X2),X1)
| X1 = X2
| ~ contains_pq(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_54])]) ).
fof(f516,plain,
( ! [X2,X0,X1] :
( sK15(X1,X2) = X0
| remove_pq(insert_pq(X1,X0),sK15(X1,X2)) = insert_pq(remove_pq(X1,sK15(X1,X2)),X0)
| issmallestelement_pq(X1,X2) )
| ~ spl16_22
| ~ spl16_54 ),
inference(resolution,[],[f488,f303]) ).
fof(f303,plain,
( ! [X0,X1] :
( contains_pq(X0,sK15(X0,X1))
| issmallestelement_pq(X0,X1) )
| ~ spl16_22 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f488,plain,
( ! [X2,X0,X1] :
( ~ contains_pq(X0,X2)
| X1 = X2
| remove_pq(insert_pq(X0,X1),X2) = insert_pq(remove_pq(X0,X2),X1) )
| ~ spl16_54 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f1105,plain,
( spl16_110
| ~ spl16_27
| ~ spl16_54 ),
inference(avatar_split_clause,[],[f515,f487,f322,f1103]) ).
fof(f1103,plain,
( spl16_110
<=> ! [X0,X3,X2,X1] :
( X0 = X1
| remove_pq(insert_pq(insert_pq(X2,X3),X0),X1) = insert_pq(remove_pq(insert_pq(X2,X3),X1),X0)
| ~ contains_pq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_110])]) ).
fof(f515,plain,
( ! [X2,X3,X0,X1] :
( X0 = X1
| remove_pq(insert_pq(insert_pq(X2,X3),X0),X1) = insert_pq(remove_pq(insert_pq(X2,X3),X1),X0)
| ~ contains_pq(X2,X1) )
| ~ spl16_27
| ~ spl16_54 ),
inference(resolution,[],[f488,f323]) ).
fof(f1095,plain,
( spl16_109
| ~ spl16_21
| ~ spl16_31
| ~ spl16_64 ),
inference(avatar_split_clause,[],[f564,f557,f343,f298,f1093]) ).
fof(f1093,plain,
( spl16_109
<=> ! [X2,X4,X0,X3,X1] :
( remove_slb(insert_slb(insert_slb(X0,pair(X1,X2)),pair(X3,X4)),X1) = insert_slb(X0,pair(X3,X4))
| X1 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_109])]) ).
fof(f564,plain,
( ! [X2,X3,X0,X1,X4] :
( remove_slb(insert_slb(insert_slb(X0,pair(X1,X2)),pair(X3,X4)),X1) = insert_slb(X0,pair(X3,X4))
| X1 = X3 )
| ~ spl16_21
| ~ spl16_31
| ~ spl16_64 ),
inference(forward_demodulation,[],[f560,f344]) ).
fof(f560,plain,
( ! [X2,X3,X0,X1,X4] :
( remove_slb(insert_slb(insert_slb(X0,pair(X1,X2)),pair(X3,X4)),X1) = insert_slb(remove_slb(insert_slb(X0,pair(X1,X2)),X1),pair(X3,X4))
| X1 = X3 )
| ~ spl16_21
| ~ spl16_64 ),
inference(resolution,[],[f558,f299]) ).
fof(f1089,plain,
( spl16_108
| ~ spl16_36
| ~ spl16_40 ),
inference(avatar_split_clause,[],[f443,f395,f373,f1087]) ).
fof(f395,plain,
( spl16_40
<=> ! [X0,X1] :
( removemin_pq_res(X0,X1) = X1
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_40])]) ).
fof(f443,plain,
( ! [X0] :
( bottom = removemin_pq_res(X0,bottom)
| ~ contains_pq(X0,bottom) )
| ~ spl16_36
| ~ spl16_40 ),
inference(resolution,[],[f374,f396]) ).
fof(f396,plain,
( ! [X0,X1] :
( ~ issmallestelement_pq(X0,X1)
| removemin_pq_res(X0,X1) = X1
| ~ contains_pq(X0,X1) )
| ~ spl16_40 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f1074,plain,
( spl16_107
| ~ spl16_45
| ~ spl16_55 ),
inference(avatar_split_clause,[],[f520,f491,f415,f1072]) ).
fof(f1072,plain,
( spl16_107
<=> ! [X0,X3,X2,X1] :
( findmin_pqp_res(insert_pqp(X0,X1)) = removemin_cpq_res(insert_cpq(triple(X0,X2,X3),X1))
| create_slb = insert_slb(X2,pair(X1,bottom)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_107])]) ).
fof(f415,plain,
( spl16_45
<=> ! [X2,X0,X1] :
( findmin_pqp_res(X0) = removemin_cpq_res(triple(X0,X1,X2))
| create_slb = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_45])]) ).
fof(f520,plain,
( ! [X2,X3,X0,X1] :
( findmin_pqp_res(insert_pqp(X0,X1)) = removemin_cpq_res(insert_cpq(triple(X0,X2,X3),X1))
| create_slb = insert_slb(X2,pair(X1,bottom)) )
| ~ spl16_45
| ~ spl16_55 ),
inference(superposition,[],[f416,f492]) ).
fof(f416,plain,
( ! [X2,X0,X1] :
( findmin_pqp_res(X0) = removemin_cpq_res(triple(X0,X1,X2))
| create_slb = X1 )
| ~ spl16_45 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f1070,plain,
( spl16_106
| ~ spl16_39
| ~ spl16_45 ),
inference(avatar_split_clause,[],[f440,f415,f386,f1068]) ).
fof(f1068,plain,
( spl16_106
<=> ! [X0,X3,X2,X1] :
( succ_cpq(X3,remove_cpq(findmin_cpq_eff(triple(X0,X1,X2)),findmin_pqp_res(X0)))
| ~ succ_cpq(X3,triple(X0,X1,X2))
| create_slb = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_106])]) ).
fof(f386,plain,
( spl16_39
<=> ! [X0,X1] :
( succ_cpq(X0,remove_cpq(findmin_cpq_eff(X1),removemin_cpq_res(X1)))
| ~ succ_cpq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_39])]) ).
fof(f440,plain,
( ! [X2,X3,X0,X1] :
( succ_cpq(X3,remove_cpq(findmin_cpq_eff(triple(X0,X1,X2)),findmin_pqp_res(X0)))
| ~ succ_cpq(X3,triple(X0,X1,X2))
| create_slb = X1 )
| ~ spl16_39
| ~ spl16_45 ),
inference(superposition,[],[f387,f416]) ).
fof(f387,plain,
( ! [X0,X1] :
( succ_cpq(X0,remove_cpq(findmin_cpq_eff(X1),removemin_cpq_res(X1)))
| ~ succ_cpq(X0,X1) )
| ~ spl16_39 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f1066,plain,
( spl16_105
| ~ spl16_22
| ~ spl16_44 ),
inference(avatar_split_clause,[],[f435,f411,f302,f1064]) ).
fof(f435,plain,
( ! [X2,X0,X1] :
( contains_pq(X0,sK15(insert_pq(X0,X1),X2))
| sK15(insert_pq(X0,X1),X2) = X1
| issmallestelement_pq(insert_pq(X0,X1),X2) )
| ~ spl16_22
| ~ spl16_44 ),
inference(resolution,[],[f412,f303]) ).
fof(f1055,plain,
( spl16_104
| ~ spl16_15
| ~ spl16_62 ),
inference(avatar_split_clause,[],[f544,f539,f273,f1053]) ).
fof(f1053,plain,
( spl16_104
<=> ! [X0,X3,X2,X1] :
( update_slb(insert_slb(X0,pair(X1,X2)),X3) = insert_slb(update_slb(X0,X3),pair(X1,X2))
| less_than(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_104])]) ).
fof(f544,plain,
( ! [X2,X3,X0,X1] :
( update_slb(insert_slb(X0,pair(X1,X2)),X3) = insert_slb(update_slb(X0,X3),pair(X1,X2))
| less_than(X2,X3) )
| ~ spl16_15
| ~ spl16_62 ),
inference(resolution,[],[f540,f274]) ).
fof(f1008,plain,
( spl16_103
| ~ spl16_36
| ~ spl16_41 ),
inference(avatar_split_clause,[],[f442,f399,f373,f1006]) ).
fof(f399,plain,
( spl16_41
<=> ! [X0,X1] :
( findmin_pq_res(X0,X1) = X1
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_41])]) ).
fof(f442,plain,
( ! [X0] :
( bottom = findmin_pq_res(X0,bottom)
| ~ contains_pq(X0,bottom) )
| ~ spl16_36
| ~ spl16_41 ),
inference(resolution,[],[f374,f400]) ).
fof(f400,plain,
( ! [X0,X1] :
( ~ issmallestelement_pq(X0,X1)
| findmin_pq_res(X0,X1) = X1
| ~ contains_pq(X0,X1) )
| ~ spl16_41 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f985,plain,
( spl16_102
| ~ spl16_57
| ~ spl16_71 ),
inference(avatar_split_clause,[],[f620,f606,f499,f983]) ).
fof(f499,plain,
( spl16_57
<=> ! [X4,X0,X3,X2,X1] : i(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) = insert_pq(i(triple(X0,X1,X2)),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_57])]) ).
fof(f620,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] : insert_pq(i(triple(X0,X1,X4)),X2) = i(triple(X5,insert_slb(X1,pair(X2,X3)),X6))
| ~ spl16_57
| ~ spl16_71 ),
inference(superposition,[],[f607,f500]) ).
fof(f500,plain,
( ! [X2,X3,X0,X1,X4] : i(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) = insert_pq(i(triple(X0,X1,X2)),X3)
| ~ spl16_57 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f949,plain,
~ spl16_99,
inference(avatar_contradiction_clause,[],[f948]) ).
fof(f948,plain,
( $false
| ~ spl16_99 ),
inference(equality_resolution,[],[f900]) ).
fof(f900,plain,
( ! [X0,X1] : insert_pq(i(triple(sK5,sK4,sK7)),sK9) != insert_pq(i(triple(X0,sK4,X1)),sK9)
| ~ spl16_99 ),
inference(avatar_component_clause,[],[f899]) ).
fof(f899,plain,
( spl16_99
<=> ! [X0,X1] : insert_pq(i(triple(sK5,sK4,sK7)),sK9) != insert_pq(i(triple(X0,sK4,X1)),sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_99])]) ).
fof(f943,plain,
( spl16_99
| ~ spl16_71
| spl16_98 ),
inference(avatar_split_clause,[],[f941,f892,f606,f899]) ).
fof(f892,plain,
( spl16_98
<=> insert_pq(i(triple(sK6,sK4,sK8)),sK9) = insert_pq(i(triple(sK5,sK4,sK7)),sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_98])]) ).
fof(f941,plain,
( ! [X0,X1] : insert_pq(i(triple(sK5,sK4,sK7)),sK9) != insert_pq(i(triple(X0,sK4,X1)),sK9)
| ~ spl16_71
| spl16_98 ),
inference(superposition,[],[f894,f607]) ).
fof(f894,plain,
( insert_pq(i(triple(sK6,sK4,sK8)),sK9) != insert_pq(i(triple(sK5,sK4,sK7)),sK9)
| spl16_98 ),
inference(avatar_component_clause,[],[f892]) ).
fof(f940,plain,
( spl16_101
| ~ spl16_71
| ~ spl16_98 ),
inference(avatar_split_clause,[],[f916,f892,f606,f938]) ).
fof(f916,plain,
( ! [X0,X1] : insert_pq(i(triple(sK5,sK4,sK7)),sK9) = insert_pq(i(triple(X0,sK4,X1)),sK9)
| ~ spl16_71
| ~ spl16_98 ),
inference(superposition,[],[f893,f607]) ).
fof(f893,plain,
( insert_pq(i(triple(sK6,sK4,sK8)),sK9) = insert_pq(i(triple(sK5,sK4,sK7)),sK9)
| ~ spl16_98 ),
inference(avatar_component_clause,[],[f892]) ).
fof(f905,plain,
( spl16_100
| ~ spl16_36
| ~ spl16_42 ),
inference(avatar_split_clause,[],[f441,f403,f373,f903]) ).
fof(f403,plain,
( spl16_42
<=> ! [X0,X1] :
( findmin_pq_eff(X0,X1) = X0
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_42])]) ).
fof(f441,plain,
( ! [X0] :
( findmin_pq_eff(X0,bottom) = X0
| ~ contains_pq(X0,bottom) )
| ~ spl16_36
| ~ spl16_42 ),
inference(resolution,[],[f374,f404]) ).
fof(f404,plain,
( ! [X0,X1] :
( ~ issmallestelement_pq(X0,X1)
| findmin_pq_eff(X0,X1) = X0
| ~ contains_pq(X0,X1) )
| ~ spl16_42 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f901,plain,
( spl16_99
| ~ spl16_70
| spl16_98 ),
inference(avatar_split_clause,[],[f896,f892,f603,f899]) ).
fof(f603,plain,
( spl16_70
<=> ! [X13,X12,X14,X15] : i(triple(X12,sK4,X14)) = i(triple(X13,sK4,X15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_70])]) ).
fof(f896,plain,
( ! [X0,X1] : insert_pq(i(triple(sK5,sK4,sK7)),sK9) != insert_pq(i(triple(X0,sK4,X1)),sK9)
| ~ spl16_70
| spl16_98 ),
inference(superposition,[],[f894,f604]) ).
fof(f604,plain,
( ! [X14,X15,X12,X13] : i(triple(X12,sK4,X14)) = i(triple(X13,sK4,X15))
| ~ spl16_70 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f895,plain,
( spl16_71
| ~ spl16_98
| ~ spl16_17
| ~ spl16_57 ),
inference(avatar_split_clause,[],[f883,f499,f282,f892,f606]) ).
fof(f883,plain,
( ! [X2,X3,X0,X1,X4] :
( insert_pq(i(triple(sK6,sK4,sK8)),sK9) != insert_pq(i(triple(sK5,sK4,sK7)),sK9)
| i(triple(X0,X2,X3)) = i(triple(X1,X2,X4)) )
| ~ spl16_17
| ~ spl16_57 ),
inference(trivial_inequality_removal,[],[f882]) ).
fof(f882,plain,
( ! [X2,X3,X0,X1,X4] :
( create_pq != create_pq
| insert_pq(i(triple(sK6,sK4,sK8)),sK9) != insert_pq(i(triple(sK5,sK4,sK7)),sK9)
| i(triple(X0,X2,X3)) = i(triple(X1,X2,X4)) )
| ~ spl16_17
| ~ spl16_57 ),
inference(forward_demodulation,[],[f881,f283]) ).
fof(f881,plain,
( ! [X2,X3,X0,X1,X4] :
( create_pq != i(triple(sK11,create_slb,sK13))
| insert_pq(i(triple(sK6,sK4,sK8)),sK9) != insert_pq(i(triple(sK5,sK4,sK7)),sK9)
| i(triple(X0,X2,X3)) = i(triple(X1,X2,X4)) )
| ~ spl16_17
| ~ spl16_57 ),
inference(forward_demodulation,[],[f880,f283]) ).
fof(f880,plain,
( ! [X2,X3,X0,X1,X4] :
( insert_pq(i(triple(sK6,sK4,sK8)),sK9) != insert_pq(i(triple(sK5,sK4,sK7)),sK9)
| i(triple(X0,X2,X3)) = i(triple(X1,X2,X4))
| i(triple(sK11,create_slb,sK13)) != i(triple(sK12,create_slb,sK14)) )
| ~ spl16_57 ),
inference(forward_demodulation,[],[f879,f500]) ).
fof(f879,plain,
( ! [X2,X3,X0,X1,X4] :
( i(triple(sK5,insert_slb(sK4,pair(sK9,sK10)),sK7)) != insert_pq(i(triple(sK6,sK4,sK8)),sK9)
| i(triple(X0,X2,X3)) = i(triple(X1,X2,X4))
| i(triple(sK11,create_slb,sK13)) != i(triple(sK12,create_slb,sK14)) )
| ~ spl16_57 ),
inference(forward_demodulation,[],[f141,f500]) ).
fof(f141,plain,
! [X2,X3,X0,X1,X4] :
( i(triple(X0,X2,X3)) = i(triple(X1,X2,X4))
| i(triple(sK5,insert_slb(sK4,pair(sK9,sK10)),sK7)) != i(triple(sK6,insert_slb(sK4,pair(sK9,sK10)),sK8))
| i(triple(sK11,create_slb,sK13)) != i(triple(sK12,create_slb,sK14)) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
( ! [X0,X1,X2,X3,X4] : i(triple(X0,X2,X3)) = i(triple(X1,X2,X4))
| ( i(triple(sK5,insert_slb(sK4,pair(sK9,sK10)),sK7)) != i(triple(sK6,insert_slb(sK4,pair(sK9,sK10)),sK8))
& ! [X12,X13,X14,X15] : i(triple(X12,sK4,X14)) = i(triple(X13,sK4,X15)) )
| i(triple(sK11,create_slb,sK13)) != i(triple(sK12,create_slb,sK14)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14])],[f122,f125,f124,f123]) ).
fof(f123,plain,
( ? [X5] :
( ? [X6,X7,X8,X9,X10,X11] : i(triple(X6,insert_slb(X5,pair(X10,X11)),X8)) != i(triple(X7,insert_slb(X5,pair(X10,X11)),X9))
& ! [X12,X13,X14,X15] : i(triple(X12,X5,X14)) = i(triple(X13,X5,X15)) )
=> ( ? [X11,X10,X9,X8,X7,X6] : i(triple(X6,insert_slb(sK4,pair(X10,X11)),X8)) != i(triple(X7,insert_slb(sK4,pair(X10,X11)),X9))
& ! [X15,X14,X13,X12] : i(triple(X12,sK4,X14)) = i(triple(X13,sK4,X15)) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
( ? [X11,X10,X9,X8,X7,X6] : i(triple(X6,insert_slb(sK4,pair(X10,X11)),X8)) != i(triple(X7,insert_slb(sK4,pair(X10,X11)),X9))
=> i(triple(sK5,insert_slb(sK4,pair(sK9,sK10)),sK7)) != i(triple(sK6,insert_slb(sK4,pair(sK9,sK10)),sK8)) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
( ? [X16,X17,X18,X19] : i(triple(X16,create_slb,X18)) != i(triple(X17,create_slb,X19))
=> i(triple(sK11,create_slb,sK13)) != i(triple(sK12,create_slb,sK14)) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
( ! [X0,X1,X2,X3,X4] : i(triple(X0,X2,X3)) = i(triple(X1,X2,X4))
| ? [X5] :
( ? [X6,X7,X8,X9,X10,X11] : i(triple(X6,insert_slb(X5,pair(X10,X11)),X8)) != i(triple(X7,insert_slb(X5,pair(X10,X11)),X9))
& ! [X12,X13,X14,X15] : i(triple(X12,X5,X14)) = i(triple(X13,X5,X15)) )
| ? [X16,X17,X18,X19] : i(triple(X16,create_slb,X18)) != i(triple(X17,create_slb,X19)) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
( ! [X15,X16,X17,X18,X19] : i(triple(X15,X17,X18)) = i(triple(X16,X17,X19))
| ? [X0] :
( ? [X5,X6,X7,X8,X9,X10] : i(triple(X5,insert_slb(X0,pair(X9,X10)),X7)) != i(triple(X6,insert_slb(X0,pair(X9,X10)),X8))
& ! [X1,X2,X3,X4] : i(triple(X1,X0,X3)) = i(triple(X2,X0,X4)) )
| ? [X11,X12,X13,X14] : i(triple(X11,create_slb,X13)) != i(triple(X12,create_slb,X14)) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
( ! [X15,X16,X17,X18,X19] : i(triple(X15,X17,X18)) = i(triple(X16,X17,X19))
| ? [X0] :
( ? [X5,X6,X7,X8,X9,X10] : i(triple(X5,insert_slb(X0,pair(X9,X10)),X7)) != i(triple(X6,insert_slb(X0,pair(X9,X10)),X8))
& ! [X1,X2,X3,X4] : i(triple(X1,X0,X3)) = i(triple(X2,X0,X4)) )
| ? [X11,X12,X13,X14] : i(triple(X11,create_slb,X13)) != i(triple(X12,create_slb,X14)) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,plain,
( ( ! [X0] :
( ! [X1,X2,X3,X4] : i(triple(X1,X0,X3)) = i(triple(X2,X0,X4))
=> ! [X5,X6,X7,X8,X9,X10] : i(triple(X5,insert_slb(X0,pair(X9,X10)),X7)) = i(triple(X6,insert_slb(X0,pair(X9,X10)),X8)) )
& ! [X11,X12,X13,X14] : i(triple(X11,create_slb,X13)) = i(triple(X12,create_slb,X14)) )
=> ! [X15,X16,X17,X18,X19] : i(triple(X15,X17,X18)) = i(triple(X16,X17,X19)) ),
inference(rectify,[],[f63]) ).
fof(f63,axiom,
( ( ! [X4] :
( ! [X5,X6,X7,X8] : i(triple(X5,X4,X7)) = i(triple(X6,X4,X8))
=> ! [X9,X10,X11,X12,X13,X14] : i(triple(X9,insert_slb(X4,pair(X13,X14)),X11)) = i(triple(X10,insert_slb(X4,pair(X13,X14)),X12)) )
& ! [X0,X1,X2,X3] : i(triple(X0,create_slb,X2)) = i(triple(X1,create_slb,X3)) )
=> ! [X15,X16,X17,X18,X19] : i(triple(X15,X17,X18)) = i(triple(X16,X17,X19)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',big2_induction) ).
fof(f877,plain,
( spl16_97
| ~ spl16_55
| ~ spl16_71 ),
inference(avatar_split_clause,[],[f618,f606,f491,f875]) ).
fof(f618,plain,
( ! [X2,X3,X0,X1,X4,X5] : i(insert_cpq(triple(X0,X2,X3),X1)) = i(triple(X4,insert_slb(X2,pair(X1,bottom)),X5))
| ~ spl16_55
| ~ spl16_71 ),
inference(superposition,[],[f607,f492]) ).
fof(f873,plain,
( spl16_96
| ~ spl16_55
| ~ spl16_59 ),
inference(avatar_split_clause,[],[f532,f507,f491,f871]) ).
fof(f507,plain,
( spl16_59
<=> ! [X4,X0,X3,X2,X1] :
( check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
| ~ check_cpq(triple(X0,X1,X2))
| ~ less_than(X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_59])]) ).
fof(f532,plain,
( ! [X2,X3,X0,X1] :
( check_cpq(insert_cpq(triple(X0,X2,X3),X1))
| ~ check_cpq(triple(insert_pqp(X0,X1),X2,X3))
| ~ less_than(bottom,X1) )
| ~ spl16_55
| ~ spl16_59 ),
inference(superposition,[],[f508,f492]) ).
fof(f508,plain,
( ! [X2,X3,X0,X1,X4] :
( check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
| ~ check_cpq(triple(X0,X1,X2))
| ~ less_than(X4,X3) )
| ~ spl16_59 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f869,plain,
( spl16_95
| ~ spl16_55
| ~ spl16_58 ),
inference(avatar_split_clause,[],[f529,f503,f491,f867]) ).
fof(f867,plain,
( spl16_95
<=> ! [X0,X3,X2,X1] :
( ~ check_cpq(insert_cpq(triple(X0,X2,X3),X1))
| check_cpq(triple(insert_pqp(X0,X1),X2,X3))
| ~ less_than(bottom,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_95])]) ).
fof(f503,plain,
( spl16_58
<=> ! [X4,X0,X3,X2,X1] :
( check_cpq(triple(X0,X1,X2))
| ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
| ~ less_than(X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_58])]) ).
fof(f529,plain,
( ! [X2,X3,X0,X1] :
( ~ check_cpq(insert_cpq(triple(X0,X2,X3),X1))
| check_cpq(triple(insert_pqp(X0,X1),X2,X3))
| ~ less_than(bottom,X1) )
| ~ spl16_55
| ~ spl16_58 ),
inference(superposition,[],[f504,f492]) ).
fof(f504,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
| check_cpq(triple(X0,X1,X2))
| ~ less_than(X4,X3) )
| ~ spl16_58 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f865,plain,
( spl16_94
| ~ spl16_55
| ~ spl16_57 ),
inference(avatar_split_clause,[],[f528,f499,f491,f863]) ).
fof(f528,plain,
( ! [X2,X3,X0,X1] : insert_pq(i(triple(insert_pqp(X0,X1),X2,X3)),X1) = i(insert_cpq(triple(X0,X2,X3),X1))
| ~ spl16_55
| ~ spl16_57 ),
inference(superposition,[],[f500,f492]) ).
fof(f848,plain,
( spl16_93
| ~ spl16_21
| ~ spl16_32
| ~ spl16_56 ),
inference(avatar_split_clause,[],[f527,f495,f347,f298,f846]) ).
fof(f527,plain,
( ! [X2,X3,X0,X1,X4] :
( lookup_slb(insert_slb(insert_slb(X0,pair(X1,X2)),pair(X3,X4)),X1) = X2
| X1 = X3 )
| ~ spl16_21
| ~ spl16_32
| ~ spl16_56 ),
inference(forward_demodulation,[],[f524,f348]) ).
fof(f524,plain,
( ! [X2,X3,X0,X1,X4] :
( lookup_slb(insert_slb(X0,pair(X1,X2)),X1) = lookup_slb(insert_slb(insert_slb(X0,pair(X1,X2)),pair(X3,X4)),X1)
| X1 = X3 )
| ~ spl16_21
| ~ spl16_56 ),
inference(resolution,[],[f496,f299]) ).
fof(f746,plain,
( spl16_92
| ~ spl16_7
| ~ spl16_62 ),
inference(avatar_split_clause,[],[f543,f539,f240,f744]) ).
fof(f240,plain,
( spl16_7
<=> ! [X0] : less_than(bottom,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_7])]) ).
fof(f543,plain,
( ! [X2,X0,X1] : update_slb(insert_slb(X0,pair(X1,X2)),bottom) = insert_slb(update_slb(X0,bottom),pair(X1,X2))
| ~ spl16_7
| ~ spl16_62 ),
inference(resolution,[],[f540,f241]) ).
fof(f241,plain,
( ! [X0] : less_than(bottom,X0)
| ~ spl16_7 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f742,plain,
( spl16_91
| ~ spl16_6
| ~ spl16_62 ),
inference(avatar_split_clause,[],[f542,f539,f236,f740]) ).
fof(f236,plain,
( spl16_6
<=> ! [X0] : less_than(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_6])]) ).
fof(f542,plain,
( ! [X2,X0,X1] : insert_slb(update_slb(X0,X2),pair(X1,X2)) = update_slb(insert_slb(X0,pair(X1,X2)),X2)
| ~ spl16_6
| ~ spl16_62 ),
inference(resolution,[],[f540,f237]) ).
fof(f237,plain,
( ! [X0] : less_than(X0,X0)
| ~ spl16_6 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f738,plain,
( spl16_90
| ~ spl16_34
| ~ spl16_55 ),
inference(avatar_split_clause,[],[f522,f491,f355,f736]) ).
fof(f736,plain,
( spl16_90
<=> ! [X4,X0,X3,X2,X1] :
( ~ contains_cpq(insert_cpq(triple(X0,X2,X3),X1),X4)
| contains_slb(insert_slb(X2,pair(X1,bottom)),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_90])]) ).
fof(f355,plain,
( spl16_34
<=> ! [X2,X0,X1,X3] :
( contains_slb(X1,X3)
| ~ contains_cpq(triple(X0,X1,X2),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_34])]) ).
fof(f522,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ contains_cpq(insert_cpq(triple(X0,X2,X3),X1),X4)
| contains_slb(insert_slb(X2,pair(X1,bottom)),X4) )
| ~ spl16_34
| ~ spl16_55 ),
inference(superposition,[],[f356,f492]) ).
fof(f356,plain,
( ! [X2,X3,X0,X1] :
( ~ contains_cpq(triple(X0,X1,X2),X3)
| contains_slb(X1,X3) )
| ~ spl16_34 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f734,plain,
( spl16_89
| ~ spl16_23
| ~ spl16_75 ),
inference(avatar_split_clause,[],[f687,f649,f306,f732]) ).
fof(f732,plain,
( spl16_89
<=> ! [X0,X1] :
( strictly_less_than(bottom,X0)
| issmallestelement_pq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_89])]) ).
fof(f687,plain,
( ! [X0,X1] :
( strictly_less_than(bottom,X0)
| issmallestelement_pq(X1,X0) )
| ~ spl16_23
| ~ spl16_75 ),
inference(resolution,[],[f650,f307]) ).
fof(f730,plain,
( spl16_88
| ~ spl16_35
| ~ spl16_55 ),
inference(avatar_split_clause,[],[f521,f491,f359,f728]) ).
fof(f728,plain,
( spl16_88
<=> ! [X4,X0,X3,X2,X1] :
( contains_cpq(insert_cpq(triple(X0,X2,X3),X1),X4)
| ~ contains_slb(insert_slb(X2,pair(X1,bottom)),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_88])]) ).
fof(f359,plain,
( spl16_35
<=> ! [X0,X3,X2,X1] :
( contains_cpq(triple(X0,X1,X2),X3)
| ~ contains_slb(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_35])]) ).
fof(f521,plain,
( ! [X2,X3,X0,X1,X4] :
( contains_cpq(insert_cpq(triple(X0,X2,X3),X1),X4)
| ~ contains_slb(insert_slb(X2,pair(X1,bottom)),X4) )
| ~ spl16_35
| ~ spl16_55 ),
inference(superposition,[],[f360,f492]) ).
fof(f360,plain,
( ! [X2,X3,X0,X1] :
( contains_cpq(triple(X0,X1,X2),X3)
| ~ contains_slb(X1,X3) )
| ~ spl16_35 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f726,plain,
( spl16_87
| ~ spl16_43
| ~ spl16_44 ),
inference(avatar_split_clause,[],[f436,f411,f407,f724]) ).
fof(f724,plain,
( spl16_87
<=> ! [X0,X3,X2,X1] :
( ~ contains_pq(insert_pq(insert_pq(X0,X2),X1),X3)
| contains_pq(insert_pq(X0,X1),X3)
| X2 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_87])]) ).
fof(f436,plain,
( ! [X2,X3,X0,X1] :
( ~ contains_pq(insert_pq(insert_pq(X0,X2),X1),X3)
| contains_pq(insert_pq(X0,X1),X3)
| X2 = X3 )
| ~ spl16_43
| ~ spl16_44 ),
inference(superposition,[],[f412,f408]) ).
fof(f722,plain,
( spl16_86
| ~ spl16_43 ),
inference(avatar_split_clause,[],[f421,f407,f720]) ).
fof(f421,plain,
( ! [X2,X3,X0,X1] : insert_pq(insert_pq(insert_pq(X0,X1),X3),X2) = insert_pq(insert_pq(insert_pq(X0,X2),X1),X3)
| ~ spl16_43 ),
inference(superposition,[],[f408,f408]) ).
fof(f717,plain,
( spl16_85
| ~ spl16_20
| ~ spl16_37
| ~ spl16_39 ),
inference(avatar_split_clause,[],[f392,f386,f378,f294,f715]) ).
fof(f715,plain,
( spl16_85
<=> ! [X2,X0,X1] :
( succ_cpq(X2,remove_cpq(triple(X0,create_slb,bad),bottom))
| ~ succ_cpq(X2,triple(X0,create_slb,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_85])]) ).
fof(f294,plain,
( spl16_20
<=> ! [X0,X1] : bottom = removemin_cpq_res(triple(X0,create_slb,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_20])]) ).
fof(f378,plain,
( spl16_37
<=> ! [X0,X1] : findmin_cpq_eff(triple(X0,create_slb,X1)) = triple(X0,create_slb,bad) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_37])]) ).
fof(f392,plain,
( ! [X2,X0,X1] :
( succ_cpq(X2,remove_cpq(triple(X0,create_slb,bad),bottom))
| ~ succ_cpq(X2,triple(X0,create_slb,X1)) )
| ~ spl16_20
| ~ spl16_37
| ~ spl16_39 ),
inference(forward_demodulation,[],[f390,f295]) ).
fof(f295,plain,
( ! [X0,X1] : bottom = removemin_cpq_res(triple(X0,create_slb,X1))
| ~ spl16_20 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f390,plain,
( ! [X2,X0,X1] :
( succ_cpq(X2,remove_cpq(triple(X0,create_slb,bad),removemin_cpq_res(triple(X0,create_slb,X1))))
| ~ succ_cpq(X2,triple(X0,create_slb,X1)) )
| ~ spl16_37
| ~ spl16_39 ),
inference(superposition,[],[f387,f379]) ).
fof(f379,plain,
( ! [X0,X1] : findmin_cpq_eff(triple(X0,create_slb,X1)) = triple(X0,create_slb,bad)
| ~ spl16_37 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f706,plain,
( spl16_84
| ~ spl16_27
| ~ spl16_43 ),
inference(avatar_split_clause,[],[f425,f407,f322,f704]) ).
fof(f425,plain,
( ! [X2,X3,X0,X1] :
( contains_pq(insert_pq(insert_pq(X0,X2),X1),X3)
| ~ contains_pq(insert_pq(X0,X1),X3) )
| ~ spl16_27
| ~ spl16_43 ),
inference(superposition,[],[f323,f408]) ).
fof(f702,plain,
( spl16_83
| ~ spl16_19
| ~ spl16_37 ),
inference(avatar_split_clause,[],[f389,f378,f290,f700]) ).
fof(f290,plain,
( spl16_19
<=> ! [X0,X1] :
( succ_cpq(X0,findmin_cpq_eff(X1))
| ~ succ_cpq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_19])]) ).
fof(f389,plain,
( ! [X2,X0,X1] :
( succ_cpq(X2,triple(X0,create_slb,bad))
| ~ succ_cpq(X2,triple(X0,create_slb,X1)) )
| ~ spl16_19
| ~ spl16_37 ),
inference(superposition,[],[f291,f379]) ).
fof(f291,plain,
( ! [X0,X1] :
( succ_cpq(X0,findmin_cpq_eff(X1))
| ~ succ_cpq(X0,X1) )
| ~ spl16_19 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f686,plain,
( spl16_81
| spl16_82
| ~ spl16_46
| ~ spl16_59 ),
inference(avatar_split_clause,[],[f531,f507,f445,f684,f681]) ).
fof(f681,plain,
( spl16_81
<=> ! [X4,X3] :
( ~ less_than(X3,X4)
| ~ strictly_less_than(X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_81])]) ).
fof(f684,plain,
( spl16_82
<=> ! [X2,X0,X1] : ~ check_cpq(triple(X0,X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_82])]) ).
fof(f531,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ check_cpq(triple(X0,X1,X2))
| ~ less_than(X3,X4)
| ~ strictly_less_than(X4,X3) )
| ~ spl16_46
| ~ spl16_59 ),
inference(resolution,[],[f508,f446]) ).
fof(f679,plain,
( spl16_80
| ~ spl16_4
| ~ spl16_50 ),
inference(avatar_split_clause,[],[f468,f465,f228,f677]) ).
fof(f677,plain,
( spl16_80
<=> ! [X2,X0,X1] : triple(X0,create_slb,bad) = remove_cpq(triple(X0,create_slb,X1),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_80])]) ).
fof(f228,plain,
( spl16_4
<=> ! [X0] : ~ contains_slb(create_slb,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_4])]) ).
fof(f468,plain,
( ! [X2,X0,X1] : triple(X0,create_slb,bad) = remove_cpq(triple(X0,create_slb,X1),X2)
| ~ spl16_4
| ~ spl16_50 ),
inference(resolution,[],[f466,f229]) ).
fof(f229,plain,
( ! [X0] : ~ contains_slb(create_slb,X0)
| ~ spl16_4 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f675,plain,
( spl16_79
| ~ spl16_18
| ~ spl16_43 ),
inference(avatar_split_clause,[],[f426,f407,f286,f673]) ).
fof(f426,plain,
( ! [X2,X0,X1] : insert_pq(X0,X1) = remove_pq(insert_pq(insert_pq(X0,X2),X1),X2)
| ~ spl16_18
| ~ spl16_43 ),
inference(superposition,[],[f287,f408]) ).
fof(f668,plain,
( spl16_78
| ~ spl16_26
| ~ spl16_55 ),
inference(avatar_split_clause,[],[f523,f491,f318,f666]) ).
fof(f318,plain,
( spl16_26
<=> ! [X2,X0,X1] :
( bad = X2
| ok(triple(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_26])]) ).
fof(f523,plain,
( ! [X2,X3,X0,X1] :
( ok(insert_cpq(triple(X0,X2,X3),X1))
| bad = X3 )
| ~ spl16_26
| ~ spl16_55 ),
inference(superposition,[],[f319,f492]) ).
fof(f319,plain,
( ! [X2,X0,X1] :
( ok(triple(X0,X1,X2))
| bad = X2 )
| ~ spl16_26 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f664,plain,
( spl16_77
| ~ spl16_46
| ~ spl16_55 ),
inference(avatar_split_clause,[],[f518,f491,f445,f662]) ).
fof(f518,plain,
( ! [X2,X3,X0,X1] :
( ~ check_cpq(insert_cpq(triple(X0,X2,X3),X1))
| ~ strictly_less_than(X1,bottom) )
| ~ spl16_46
| ~ spl16_55 ),
inference(superposition,[],[f446,f492]) ).
fof(f655,plain,
( spl16_76
| ~ spl16_15
| ~ spl16_33 ),
inference(avatar_split_clause,[],[f370,f351,f273,f653]) ).
fof(f370,plain,
( ! [X2,X0,X1] :
( less_than(X0,X1)
| ~ less_than(X0,X2)
| less_than(X1,X2) )
| ~ spl16_15
| ~ spl16_33 ),
inference(resolution,[],[f352,f274]) ).
fof(f651,plain,
( spl16_75
| ~ spl16_51
| ~ spl16_60 ),
inference(avatar_split_clause,[],[f590,f511,f471,f649]) ).
fof(f511,plain,
( spl16_60
<=> ! [X0,X1] :
( less_than(X0,X1)
| ~ less_than(X0,bottom) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_60])]) ).
fof(f590,plain,
( ! [X0,X1] :
( less_than(X0,X1)
| strictly_less_than(bottom,X0) )
| ~ spl16_51
| ~ spl16_60 ),
inference(resolution,[],[f512,f472]) ).
fof(f512,plain,
( ! [X0,X1] :
( ~ less_than(X0,bottom)
| less_than(X0,X1) )
| ~ spl16_60 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f639,plain,
( spl16_74
| ~ spl16_13
| ~ spl16_55 ),
inference(avatar_split_clause,[],[f519,f491,f265,f637]) ).
fof(f265,plain,
( spl16_13
<=> ! [X0,X1] : ~ ok(triple(X0,X1,bad)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_13])]) ).
fof(f519,plain,
( ! [X2,X0,X1] : ~ ok(insert_cpq(triple(X0,X2,bad),X1))
| ~ spl16_13
| ~ spl16_55 ),
inference(superposition,[],[f266,f492]) ).
fof(f266,plain,
( ! [X0,X1] : ~ ok(triple(X0,X1,bad))
| ~ spl16_13 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f635,plain,
( spl16_73
| ~ spl16_14
| ~ spl16_43 ),
inference(avatar_split_clause,[],[f427,f407,f269,f633]) ).
fof(f427,plain,
( ! [X2,X0,X1] : contains_pq(insert_pq(insert_pq(X0,X2),X1),X2)
| ~ spl16_14
| ~ spl16_43 ),
inference(superposition,[],[f270,f408]) ).
fof(f617,plain,
( ~ spl16_17
| spl16_72 ),
inference(avatar_contradiction_clause,[],[f616]) ).
fof(f616,plain,
( $false
| ~ spl16_17
| spl16_72 ),
inference(trivial_inequality_removal,[],[f615]) ).
fof(f615,plain,
( create_pq != create_pq
| ~ spl16_17
| spl16_72 ),
inference(superposition,[],[f613,f283]) ).
fof(f613,plain,
( create_pq != i(triple(sK11,create_slb,sK13))
| spl16_72 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f611,plain,
( spl16_72
<=> create_pq = i(triple(sK11,create_slb,sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_72])]) ).
fof(f614,plain,
( ~ spl16_72
| ~ spl16_17
| spl16_69 ),
inference(avatar_split_clause,[],[f609,f599,f282,f611]) ).
fof(f599,plain,
( spl16_69
<=> i(triple(sK11,create_slb,sK13)) = i(triple(sK12,create_slb,sK14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_69])]) ).
fof(f609,plain,
( create_pq != i(triple(sK11,create_slb,sK13))
| ~ spl16_17
| spl16_69 ),
inference(forward_demodulation,[],[f601,f283]) ).
fof(f601,plain,
( i(triple(sK11,create_slb,sK13)) != i(triple(sK12,create_slb,sK14))
| spl16_69 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f608,plain,
( ~ spl16_69
| spl16_70
| spl16_71 ),
inference(avatar_split_clause,[],[f140,f606,f603,f599]) ).
fof(f140,plain,
! [X2,X3,X0,X1,X14,X4,X15,X12,X13] :
( i(triple(X0,X2,X3)) = i(triple(X1,X2,X4))
| i(triple(X12,sK4,X14)) = i(triple(X13,sK4,X15))
| i(triple(sK11,create_slb,sK13)) != i(triple(sK12,create_slb,sK14)) ),
inference(cnf_transformation,[],[f126]) ).
fof(f587,plain,
spl16_68,
inference(avatar_split_clause,[],[f189,f585]) ).
fof(f189,plain,
! [X2,X0,X1] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2)
| ~ less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ( less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
& contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2) ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X0,X1,X2,X3] :
( ( less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0))
& contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax49) ).
fof(f583,plain,
spl16_67,
inference(avatar_split_clause,[],[f188,f581]) ).
fof(f188,plain,
! [X2,X0,X1] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(flattening,[],[f110]) ).
fof(f110,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
| ~ contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ( strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
& contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X0,X1,X2,X3] :
( ( strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
& contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax48) ).
fof(f572,plain,
spl16_66,
inference(avatar_split_clause,[],[f191,f570]) ).
fof(f191,plain,
! [X2,X3,X0,X1] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ less_than(lookup_slb(X1,X3),X3)
| ~ contains_slb(X1,X3) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2,X3] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ less_than(lookup_slb(X1,X3),X3)
| ~ contains_slb(X1,X3) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2,X3] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
| ~ less_than(lookup_slb(X1,X3),X3)
| ~ contains_slb(X1,X3) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0,X1,X2,X3] :
( ( less_than(lookup_slb(X1,X3),X3)
& contains_slb(X1,X3) )
=> remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax44) ).
fof(f568,plain,
spl16_65,
inference(avatar_split_clause,[],[f190,f566]) ).
fof(f190,plain,
! [X2,X3,X0,X1] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad)
| ~ strictly_less_than(X3,lookup_slb(X1,X3))
| ~ contains_slb(X1,X3) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2,X3] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad)
| ~ strictly_less_than(X3,lookup_slb(X1,X3))
| ~ contains_slb(X1,X3) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad)
| ~ strictly_less_than(X3,lookup_slb(X1,X3))
| ~ contains_slb(X1,X3) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0,X1,X2,X3] :
( ( strictly_less_than(X3,lookup_slb(X1,X3))
& contains_slb(X1,X3) )
=> remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax45) ).
fof(f559,plain,
spl16_64,
inference(avatar_split_clause,[],[f186,f557]) ).
fof(f186,plain,
! [X2,X3,X0,X1] :
( remove_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(remove_slb(X0,X2),pair(X1,X3))
| ~ contains_slb(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( remove_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(remove_slb(X0,X2),pair(X1,X3))
| ~ contains_slb(X0,X2)
| X1 = X2 ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( remove_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(remove_slb(X0,X2),pair(X1,X3))
| ~ contains_slb(X0,X2)
| X1 = X2 ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0,X1,X2,X3] :
( ( contains_slb(X0,X2)
& X1 != X2 )
=> remove_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(remove_slb(X0,X2),pair(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
fof(f552,plain,
spl16_63,
inference(avatar_split_clause,[],[f187,f550]) ).
fof(f187,plain,
! [X2,X0,X1] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
! [X0,X1,X2] :
( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
| contains_slb(X1,findmin_pqp_res(X0))
| create_slb = X1 ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ( ~ contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
inference(rectify,[],[f47]) ).
fof(f47,axiom,
! [X0,X1,X2,X3] :
( ( ~ contains_slb(X1,findmin_pqp_res(X0))
& create_slb != X1 )
=> findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax47) ).
fof(f541,plain,
spl16_62,
inference(avatar_split_clause,[],[f184,f539]) ).
fof(f184,plain,
! [X2,X3,X0,X1] :
( update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X3))
| ~ less_than(X2,X3) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X3))
| ~ less_than(X2,X3) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0,X1,X2,X3] :
( less_than(X2,X3)
=> update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax30) ).
fof(f537,plain,
spl16_61,
inference(avatar_split_clause,[],[f183,f535]) ).
fof(f535,plain,
( spl16_61
<=> ! [X0,X3,X2,X1] :
( update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X2))
| ~ strictly_less_than(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_61])]) ).
fof(f183,plain,
! [X2,X3,X0,X1] :
( update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X2))
| ~ strictly_less_than(X3,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X2))
| ~ strictly_less_than(X3,X2) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0,X1,X2,X3] :
( strictly_less_than(X3,X2)
=> update_slb(insert_slb(X0,pair(X1,X3)),X2) = insert_slb(update_slb(X0,X2),pair(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
fof(f513,plain,
( spl16_60
| ~ spl16_7
| ~ spl16_33 ),
inference(avatar_split_clause,[],[f369,f351,f240,f511]) ).
fof(f369,plain,
( ! [X0,X1] :
( less_than(X0,X1)
| ~ less_than(X0,bottom) )
| ~ spl16_7
| ~ spl16_33 ),
inference(resolution,[],[f352,f241]) ).
fof(f509,plain,
spl16_59,
inference(avatar_split_clause,[],[f200,f507]) ).
fof(f200,plain,
! [X2,X3,X0,X1,X4] :
( check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
| ~ check_cpq(triple(X0,X1,X2))
| ~ less_than(X4,X3) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1,X2,X3,X4] :
( ( ( check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
| ~ check_cpq(triple(X0,X1,X2)) )
& ( check_cpq(triple(X0,X1,X2))
| ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) ) )
| ~ less_than(X4,X3) ),
inference(nnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2,X3,X4] :
( ( check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
<=> check_cpq(triple(X0,X1,X2)) )
| ~ less_than(X4,X3) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0,X1,X2,X3,X4] :
( less_than(X4,X3)
=> ( check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
<=> check_cpq(triple(X0,X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax37) ).
fof(f505,plain,
spl16_58,
inference(avatar_split_clause,[],[f199,f503]) ).
fof(f199,plain,
! [X2,X3,X0,X1,X4] :
( check_cpq(triple(X0,X1,X2))
| ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
| ~ less_than(X4,X3) ),
inference(cnf_transformation,[],[f134]) ).
fof(f501,plain,
spl16_57,
inference(avatar_split_clause,[],[f197,f499]) ).
fof(f197,plain,
! [X2,X3,X0,X1,X4] : i(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) = insert_pq(i(triple(X0,X1,X2)),X3),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0,X1,X2,X3,X4] : i(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) = insert_pq(i(triple(X0,X1,X2)),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax55) ).
fof(f497,plain,
spl16_56,
inference(avatar_split_clause,[],[f185,f495]) ).
fof(f185,plain,
! [X2,X3,X0,X1] :
( lookup_slb(insert_slb(X0,pair(X1,X3)),X2) = lookup_slb(X0,X2)
| ~ contains_slb(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2,X3] :
( lookup_slb(insert_slb(X0,pair(X1,X3)),X2) = lookup_slb(X0,X2)
| ~ contains_slb(X0,X2)
| X1 = X2 ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
! [X0,X1,X2,X3] :
( lookup_slb(insert_slb(X0,pair(X1,X3)),X2) = lookup_slb(X0,X2)
| ~ contains_slb(X0,X2)
| X1 = X2 ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0,X1,X2,X3] :
( ( contains_slb(X0,X2)
& X1 != X2 )
=> lookup_slb(insert_slb(X0,pair(X1,X3)),X2) = lookup_slb(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
fof(f493,plain,
spl16_55,
inference(avatar_split_clause,[],[f180,f491]) ).
fof(f180,plain,
! [X2,X3,X0,X1] : insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0,X1,X2,X3] : insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax42) ).
fof(f489,plain,
spl16_54,
inference(avatar_split_clause,[],[f175,f487]) ).
fof(f175,plain,
! [X2,X0,X1] :
( remove_pq(insert_pq(X0,X1),X2) = insert_pq(remove_pq(X0,X2),X1)
| X1 = X2
| ~ contains_pq(X0,X2) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1,X2] :
( remove_pq(insert_pq(X0,X1),X2) = insert_pq(remove_pq(X0,X2),X1)
| X1 = X2
| ~ contains_pq(X0,X2) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2] :
( remove_pq(insert_pq(X0,X1),X2) = insert_pq(remove_pq(X0,X2),X1)
| X1 = X2
| ~ contains_pq(X0,X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1,X2] :
( ( X1 != X2
& contains_pq(X0,X2) )
=> remove_pq(insert_pq(X0,X1),X2) = insert_pq(remove_pq(X0,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f481,plain,
spl16_53,
inference(avatar_split_clause,[],[f202,f479]) ).
fof(f479,plain,
( spl16_53
<=> ! [X4,X0,X3,X2,X1] :
( X3 = X4
| pair_in_list(X0,X2,X4)
| ~ pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_53])]) ).
fof(f202,plain,
! [X2,X3,X0,X1,X4] :
( X3 = X4
| pair_in_list(X0,X2,X4)
| ~ pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0,X1,X2,X3,X4] :
( ( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
| ( ( X3 != X4
| X1 != X2 )
& ~ pair_in_list(X0,X2,X4) ) )
& ( ( X3 = X4
& X1 = X2 )
| pair_in_list(X0,X2,X4)
| ~ pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4) ) ),
inference(flattening,[],[f135]) ).
fof(f135,plain,
! [X0,X1,X2,X3,X4] :
( ( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
| ( ( X3 != X4
| X1 != X2 )
& ~ pair_in_list(X0,X2,X4) ) )
& ( ( X3 = X4
& X1 = X2 )
| pair_in_list(X0,X2,X4)
| ~ pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1,X2,X3,X4] :
( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
<=> ( ( X3 = X4
& X1 = X2 )
| pair_in_list(X0,X2,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
fof(f477,plain,
spl16_52,
inference(avatar_split_clause,[],[f201,f475]) ).
fof(f475,plain,
( spl16_52
<=> ! [X4,X0,X3,X2,X1] :
( X1 = X2
| pair_in_list(X0,X2,X4)
| ~ pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_52])]) ).
fof(f201,plain,
! [X2,X3,X0,X1,X4] :
( X1 = X2
| pair_in_list(X0,X2,X4)
| ~ pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4) ),
inference(cnf_transformation,[],[f136]) ).
fof(f473,plain,
( spl16_51
| ~ spl16_15
| ~ spl16_30 ),
inference(avatar_split_clause,[],[f367,f339,f273,f471]) ).
fof(f339,plain,
( spl16_30
<=> ! [X0,X1] :
( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_30])]) ).
fof(f367,plain,
( ! [X0,X1] :
( less_than(X0,X1)
| strictly_less_than(X1,X0) )
| ~ spl16_15
| ~ spl16_30 ),
inference(duplicate_literal_removal,[],[f364]) ).
fof(f364,plain,
( ! [X0,X1] :
( less_than(X0,X1)
| strictly_less_than(X1,X0)
| less_than(X0,X1) )
| ~ spl16_15
| ~ spl16_30 ),
inference(resolution,[],[f340,f274]) ).
fof(f340,plain,
( ! [X0,X1] :
( ~ less_than(X0,X1)
| less_than(X1,X0)
| strictly_less_than(X0,X1) )
| ~ spl16_30 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f467,plain,
spl16_50,
inference(avatar_split_clause,[],[f182,f465]) ).
fof(f182,plain,
! [X2,X3,X0,X1] :
( triple(X0,X1,bad) = remove_cpq(triple(X0,X1,X2),X3)
| contains_slb(X1,X3) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( triple(X0,X1,bad) = remove_cpq(triple(X0,X1,X2),X3)
| contains_slb(X1,X3) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ~ contains_slb(X1,X3)
=> triple(X0,X1,bad) = remove_cpq(triple(X0,X1,X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax43) ).
fof(f459,plain,
spl16_49,
inference(avatar_split_clause,[],[f194,f457]) ).
fof(f194,plain,
! [X2,X3,X0,X1] :
( X1 = X2
| contains_slb(X0,X2)
| ~ contains_slb(insert_slb(X0,pair(X1,X3)),X2) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1,X2,X3] :
( ( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| ( X1 != X2
& ~ contains_slb(X0,X2) ) )
& ( X1 = X2
| contains_slb(X0,X2)
| ~ contains_slb(insert_slb(X0,pair(X1,X3)),X2) ) ),
inference(flattening,[],[f132]) ).
fof(f132,plain,
! [X0,X1,X2,X3] :
( ( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| ( X1 != X2
& ~ contains_slb(X0,X2) ) )
& ( X1 = X2
| contains_slb(X0,X2)
| ~ contains_slb(insert_slb(X0,pair(X1,X3)),X2) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1,X2,X3] :
( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
<=> ( X1 = X2
| contains_slb(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
fof(f455,plain,
spl16_48,
inference(avatar_split_clause,[],[f163,f453]) ).
fof(f163,plain,
! [X0,X1] :
( removemin_pq_eff(X0,X1) = remove_pq(X0,X1)
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( removemin_pq_eff(X0,X1) = remove_pq(X0,X1)
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( removemin_pq_eff(X0,X1) = remove_pq(X0,X1)
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( ( issmallestelement_pq(X0,X1)
& contains_pq(X0,X1) )
=> removemin_pq_eff(X0,X1) = remove_pq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f451,plain,
spl16_47,
inference(avatar_split_clause,[],[f203,f449]) ).
fof(f203,plain,
! [X2,X3,X0,X1,X4] :
( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
| ~ pair_in_list(X0,X2,X4) ),
inference(cnf_transformation,[],[f136]) ).
fof(f447,plain,
spl16_46,
inference(avatar_split_clause,[],[f198,f445]) ).
fof(f198,plain,
! [X2,X3,X0,X1,X4] :
( ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
| ~ strictly_less_than(X3,X4) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2,X3,X4] :
( ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
| ~ strictly_less_than(X3,X4) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1,X2,X3,X4] :
( strictly_less_than(X3,X4)
=> ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0,X1,X2,X3,X4] :
( strictly_less_than(X3,X4)
=> ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) ),
inference(true_and_false_elimination,[],[f38]) ).
fof(f38,axiom,
! [X0,X1,X2,X3,X4] :
( strictly_less_than(X3,X4)
=> ( check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
<=> $false ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax38) ).
fof(f417,plain,
spl16_45,
inference(avatar_split_clause,[],[f208,f415]) ).
fof(f208,plain,
! [X2,X0,X1] :
( findmin_pqp_res(X0) = removemin_cpq_res(triple(X0,X1,X2))
| create_slb = X1 ),
inference(definition_unfolding,[],[f181,f148]) ).
fof(f148,plain,
! [X0] : findmin_cpq_res(X0) = removemin_cpq_res(X0),
inference(cnf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0] : findmin_cpq_res(X0) = removemin_cpq_res(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax53) ).
fof(f181,plain,
! [X2,X0,X1] :
( findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2))
| create_slb = X1 ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2] :
( findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2))
| create_slb = X1 ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1,X2] :
( create_slb != X1
=> findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2)) ),
inference(rectify,[],[f51]) ).
fof(f51,axiom,
! [X0,X1,X2,X3] :
( create_slb != X1
=> findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax51) ).
fof(f413,plain,
spl16_44,
inference(avatar_split_clause,[],[f177,f411]) ).
fof(f177,plain,
! [X2,X0,X1] :
( X1 = X2
| contains_pq(X0,X2)
| ~ contains_pq(insert_pq(X0,X1),X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1,X2] :
( ( contains_pq(insert_pq(X0,X1),X2)
| ( X1 != X2
& ~ contains_pq(X0,X2) ) )
& ( X1 = X2
| contains_pq(X0,X2)
| ~ contains_pq(insert_pq(X0,X1),X2) ) ),
inference(flattening,[],[f129]) ).
fof(f129,plain,
! [X0,X1,X2] :
( ( contains_pq(insert_pq(X0,X1),X2)
| ( X1 != X2
& ~ contains_pq(X0,X2) ) )
& ( X1 = X2
| contains_pq(X0,X2)
| ~ contains_pq(insert_pq(X0,X1),X2) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2] :
( contains_pq(insert_pq(X0,X1),X2)
<=> ( X1 = X2
| contains_pq(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
fof(f409,plain,
spl16_43,
inference(avatar_split_clause,[],[f171,f407]) ).
fof(f171,plain,
! [X2,X0,X1] : insert_pq(insert_pq(X0,X1),X2) = insert_pq(insert_pq(X0,X2),X1),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1,X2] : insert_pq(insert_pq(X0,X1),X2) = insert_pq(insert_pq(X0,X2),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f405,plain,
spl16_42,
inference(avatar_split_clause,[],[f162,f403]) ).
fof(f162,plain,
! [X0,X1] :
( findmin_pq_eff(X0,X1) = X0
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( findmin_pq_eff(X0,X1) = X0
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( findmin_pq_eff(X0,X1) = X0
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( ( issmallestelement_pq(X0,X1)
& contains_pq(X0,X1) )
=> findmin_pq_eff(X0,X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f401,plain,
spl16_41,
inference(avatar_split_clause,[],[f161,f399]) ).
fof(f161,plain,
! [X0,X1] :
( findmin_pq_res(X0,X1) = X1
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( findmin_pq_res(X0,X1) = X1
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( findmin_pq_res(X0,X1) = X1
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1] :
( ( issmallestelement_pq(X0,X1)
& contains_pq(X0,X1) )
=> findmin_pq_res(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f397,plain,
spl16_40,
inference(avatar_split_clause,[],[f160,f395]) ).
fof(f160,plain,
! [X0,X1] :
( removemin_pq_res(X0,X1) = X1
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( removemin_pq_res(X0,X1) = X1
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( removemin_pq_res(X0,X1) = X1
| ~ issmallestelement_pq(X0,X1)
| ~ contains_pq(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ( issmallestelement_pq(X0,X1)
& contains_pq(X0,X1) )
=> removemin_pq_res(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f388,plain,
spl16_39,
inference(avatar_split_clause,[],[f207,f386]) ).
fof(f207,plain,
! [X0,X1] :
( succ_cpq(X0,remove_cpq(findmin_cpq_eff(X1),removemin_cpq_res(X1)))
| ~ succ_cpq(X0,X1) ),
inference(definition_unfolding,[],[f158,f205]) ).
fof(f205,plain,
! [X0] : removemin_cpq_eff(X0) = remove_cpq(findmin_cpq_eff(X0),removemin_cpq_res(X0)),
inference(definition_unfolding,[],[f149,f148]) ).
fof(f149,plain,
! [X0] : removemin_cpq_eff(X0) = remove_cpq(findmin_cpq_eff(X0),findmin_cpq_res(X0)),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0] : removemin_cpq_eff(X0) = remove_cpq(findmin_cpq_eff(X0),findmin_cpq_res(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax52) ).
fof(f158,plain,
! [X0,X1] :
( succ_cpq(X0,removemin_cpq_eff(X1))
| ~ succ_cpq(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( succ_cpq(X0,removemin_cpq_eff(X1))
| ~ succ_cpq(X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( succ_cpq(X0,X1)
=> succ_cpq(X0,removemin_cpq_eff(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax35) ).
fof(f384,plain,
spl16_38,
inference(avatar_split_clause,[],[f195,f382]) ).
fof(f195,plain,
! [X2,X3,X0,X1] :
( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| ~ contains_slb(X0,X2) ),
inference(cnf_transformation,[],[f133]) ).
fof(f380,plain,
spl16_37,
inference(avatar_split_clause,[],[f156,f378]) ).
fof(f156,plain,
! [X0,X1] : findmin_cpq_eff(triple(X0,create_slb,X1)) = triple(X0,create_slb,bad),
inference(cnf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0,X1] : findmin_cpq_eff(triple(X0,create_slb,X1)) = triple(X0,create_slb,bad),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax46) ).
fof(f375,plain,
( spl16_36
| ~ spl16_7
| ~ spl16_23 ),
inference(avatar_split_clause,[],[f330,f306,f240,f373]) ).
fof(f330,plain,
( ! [X0] : issmallestelement_pq(X0,bottom)
| ~ spl16_7
| ~ spl16_23 ),
inference(resolution,[],[f307,f241]) ).
fof(f361,plain,
spl16_35,
inference(avatar_split_clause,[],[f193,f359]) ).
fof(f193,plain,
! [X2,X3,X0,X1] :
( contains_cpq(triple(X0,X1,X2),X3)
| ~ contains_slb(X1,X3) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1,X2,X3] :
( ( contains_cpq(triple(X0,X1,X2),X3)
| ~ contains_slb(X1,X3) )
& ( contains_slb(X1,X3)
| ~ contains_cpq(triple(X0,X1,X2),X3) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1,X2,X3] :
( contains_cpq(triple(X0,X1,X2),X3)
<=> contains_slb(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax39) ).
fof(f357,plain,
spl16_34,
inference(avatar_split_clause,[],[f192,f355]) ).
fof(f192,plain,
! [X2,X3,X0,X1] :
( contains_slb(X1,X3)
| ~ contains_cpq(triple(X0,X1,X2),X3) ),
inference(cnf_transformation,[],[f131]) ).
fof(f353,plain,
spl16_33,
inference(avatar_split_clause,[],[f176,f351]) ).
fof(f176,plain,
! [X2,X0,X1] :
( less_than(X0,X2)
| ~ less_than(X1,X2)
| ~ less_than(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1,X2] :
( less_than(X0,X2)
| ~ less_than(X1,X2)
| ~ less_than(X0,X1) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
! [X0,X1,X2] :
( less_than(X0,X2)
| ~ less_than(X1,X2)
| ~ less_than(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2] :
( ( less_than(X1,X2)
& less_than(X0,X1) )
=> less_than(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
fof(f349,plain,
spl16_32,
inference(avatar_split_clause,[],[f170,f347]) ).
fof(f170,plain,
! [X2,X0,X1] : lookup_slb(insert_slb(X0,pair(X1,X2)),X1) = X2,
inference(cnf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0,X1,X2] : lookup_slb(insert_slb(X0,pair(X1,X2)),X1) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f345,plain,
spl16_31,
inference(avatar_split_clause,[],[f169,f343]) ).
fof(f169,plain,
! [X2,X0,X1] : remove_slb(insert_slb(X0,pair(X1,X2)),X1) = X0,
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0,X1,X2] : remove_slb(insert_slb(X0,pair(X1,X2)),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
fof(f341,plain,
spl16_30,
inference(avatar_split_clause,[],[f164,f339]) ).
fof(f164,plain,
! [X0,X1] :
( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( strictly_less_than(X0,X1)
| less_than(X1,X0)
| ~ less_than(X0,X1) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ( ~ less_than(X1,X0)
& less_than(X0,X1) )
=> strictly_less_than(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( strictly_less_than(X0,X1)
<=> ( ~ less_than(X1,X0)
& less_than(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stricly_smaller_definition) ).
fof(f337,plain,
( spl16_29
| ~ spl16_3
| ~ spl16_22 ),
inference(avatar_split_clause,[],[f329,f302,f224,f335]) ).
fof(f335,plain,
( spl16_29
<=> ! [X0] : issmallestelement_pq(create_pq,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_29])]) ).
fof(f329,plain,
( ! [X0] : issmallestelement_pq(create_pq,X0)
| ~ spl16_3
| ~ spl16_22 ),
inference(resolution,[],[f303,f225]) ).
fof(f328,plain,
spl16_28,
inference(avatar_split_clause,[],[f212,f326]) ).
fof(f212,plain,
! [X2,X0,X4] : pair_in_list(insert_slb(X0,pair(X2,X4)),X2,X4),
inference(equality_resolution,[],[f211]) ).
fof(f211,plain,
! [X2,X0,X1,X4] :
( pair_in_list(insert_slb(X0,pair(X1,X4)),X2,X4)
| X1 != X2 ),
inference(equality_resolution,[],[f204]) ).
fof(f204,plain,
! [X2,X3,X0,X1,X4] :
( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
| X3 != X4
| X1 != X2 ),
inference(cnf_transformation,[],[f136]) ).
fof(f324,plain,
spl16_27,
inference(avatar_split_clause,[],[f178,f322]) ).
fof(f178,plain,
! [X2,X0,X1] :
( contains_pq(insert_pq(X0,X1),X2)
| ~ contains_pq(X0,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f320,plain,
spl16_26,
inference(avatar_split_clause,[],[f174,f318]) ).
fof(f174,plain,
! [X2,X0,X1] :
( bad = X2
| ok(triple(X0,X1,X2)) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1,X2] :
( bad = X2
| ok(triple(X0,X1,X2)) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0,X1,X2] :
( ~ ok(triple(X0,X1,X2))
=> bad = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax41) ).
fof(f316,plain,
spl16_25,
inference(avatar_split_clause,[],[f173,f314]) ).
fof(f314,plain,
( spl16_25
<=> ! [X2,X0,X1] :
( succ_cpq(X0,remove_cpq(X1,X2))
| ~ succ_cpq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_25])]) ).
fof(f173,plain,
! [X2,X0,X1] :
( succ_cpq(X0,remove_cpq(X1,X2))
| ~ succ_cpq(X0,X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1,X2] :
( succ_cpq(X0,remove_cpq(X1,X2))
| ~ succ_cpq(X0,X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1,X2] :
( succ_cpq(X0,X1)
=> succ_cpq(X0,remove_cpq(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax33) ).
fof(f312,plain,
spl16_24,
inference(avatar_split_clause,[],[f172,f310]) ).
fof(f310,plain,
( spl16_24
<=> ! [X2,X0,X1] :
( succ_cpq(X0,insert_cpq(X1,X2))
| ~ succ_cpq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_24])]) ).
fof(f172,plain,
! [X2,X0,X1] :
( succ_cpq(X0,insert_cpq(X1,X2))
| ~ succ_cpq(X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2] :
( succ_cpq(X0,insert_cpq(X1,X2))
| ~ succ_cpq(X0,X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1,X2] :
( succ_cpq(X0,X1)
=> succ_cpq(X0,insert_cpq(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax32) ).
fof(f308,plain,
spl16_23,
inference(avatar_split_clause,[],[f166,f306]) ).
fof(f166,plain,
! [X0,X1] :
( issmallestelement_pq(X0,X1)
| ~ less_than(X1,sK15(X0,X1)) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( issmallestelement_pq(X0,X1)
| ( ~ less_than(X1,sK15(X0,X1))
& contains_pq(X0,sK15(X0,X1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f92,f127]) ).
fof(f127,plain,
! [X0,X1] :
( ? [X2] :
( ~ less_than(X1,X2)
& contains_pq(X0,X2) )
=> ( ~ less_than(X1,sK15(X0,X1))
& contains_pq(X0,sK15(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
! [X0,X1] :
( issmallestelement_pq(X0,X1)
| ? [X2] :
( ~ less_than(X1,X2)
& contains_pq(X0,X2) ) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ! [X2] :
( contains_pq(X0,X2)
=> less_than(X1,X2) )
=> issmallestelement_pq(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( issmallestelement_pq(X0,X1)
<=> ! [X2] :
( contains_pq(X0,X2)
=> less_than(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f304,plain,
spl16_22,
inference(avatar_split_clause,[],[f165,f302]) ).
fof(f165,plain,
! [X0,X1] :
( issmallestelement_pq(X0,X1)
| contains_pq(X0,sK15(X0,X1)) ),
inference(cnf_transformation,[],[f128]) ).
fof(f300,plain,
spl16_21,
inference(avatar_split_clause,[],[f210,f298]) ).
fof(f210,plain,
! [X2,X3,X0] : contains_slb(insert_slb(X0,pair(X2,X3)),X2),
inference(equality_resolution,[],[f196]) ).
fof(f196,plain,
! [X2,X3,X0,X1] :
( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| X1 != X2 ),
inference(cnf_transformation,[],[f133]) ).
fof(f296,plain,
spl16_20,
inference(avatar_split_clause,[],[f206,f294]) ).
fof(f206,plain,
! [X0,X1] : bottom = removemin_cpq_res(triple(X0,create_slb,X1)),
inference(definition_unfolding,[],[f153,f148]) ).
fof(f153,plain,
! [X0,X1] : bottom = findmin_cpq_res(triple(X0,create_slb,X1)),
inference(cnf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0,X1] : bottom = findmin_cpq_res(triple(X0,create_slb,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax50) ).
fof(f292,plain,
spl16_19,
inference(avatar_split_clause,[],[f159,f290]) ).
fof(f159,plain,
! [X0,X1] :
( succ_cpq(X0,findmin_cpq_eff(X1))
| ~ succ_cpq(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( succ_cpq(X0,findmin_cpq_eff(X1))
| ~ succ_cpq(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( succ_cpq(X0,X1)
=> succ_cpq(X0,findmin_cpq_eff(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax34) ).
fof(f288,plain,
spl16_18,
inference(avatar_split_clause,[],[f155,f286]) ).
fof(f155,plain,
! [X0,X1] : remove_pq(insert_pq(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] : remove_pq(insert_pq(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f284,plain,
spl16_17,
inference(avatar_split_clause,[],[f154,f282]) ).
fof(f154,plain,
! [X0,X1] : create_pq = i(triple(X0,create_slb,X1)),
inference(cnf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0,X1] : create_pq = i(triple(X0,create_slb,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax54) ).
fof(f279,plain,
spl16_16,
inference(avatar_split_clause,[],[f168,f277]) ).
fof(f168,plain,
! [X2,X0,X1] : isnonempty_slb(insert_slb(X0,pair(X1,X2))),
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0,X1,X2] : isnonempty_slb(insert_slb(X0,pair(X1,X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
fof(f275,plain,
spl16_15,
inference(avatar_split_clause,[],[f157,f273]) ).
fof(f157,plain,
! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( less_than(X1,X0)
| less_than(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality) ).
fof(f271,plain,
spl16_14,
inference(avatar_split_clause,[],[f209,f269]) ).
fof(f209,plain,
! [X2,X0] : contains_pq(insert_pq(X0,X2),X2),
inference(equality_resolution,[],[f179]) ).
fof(f179,plain,
! [X2,X0,X1] :
( contains_pq(insert_pq(X0,X1),X2)
| X1 != X2 ),
inference(cnf_transformation,[],[f130]) ).
fof(f267,plain,
spl16_13,
inference(avatar_split_clause,[],[f167,f265]) ).
fof(f167,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X0,X1] : ~ ok(triple(X0,X1,bad)),
inference(true_and_false_elimination,[],[f40]) ).
fof(f40,axiom,
! [X0,X1] :
( ok(triple(X0,X1,bad))
<=> $false ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax40) ).
fof(f263,plain,
spl16_12,
inference(avatar_split_clause,[],[f152,f261]) ).
fof(f152,plain,
! [X0,X1] : check_cpq(triple(X0,create_slb,X1)),
inference(cnf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1] : check_cpq(triple(X0,create_slb,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).
fof(f259,plain,
spl16_11,
inference(avatar_split_clause,[],[f147,f257]) ).
fof(f147,plain,
! [X0] : create_slb = update_slb(create_slb,X0),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] : create_slb = update_slb(create_slb,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
fof(f255,plain,
spl16_10,
inference(avatar_split_clause,[],[f151,f253]) ).
fof(f151,plain,
! [X0,X1] : isnonempty_pq(insert_pq(X0,X1)),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] : isnonempty_pq(insert_pq(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f251,plain,
spl16_9,
inference(avatar_split_clause,[],[f150,f249]) ).
fof(f249,plain,
( spl16_9
<=> ! [X0,X1] : ~ pair_in_list(create_slb,X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_9])]) ).
fof(f150,plain,
! [X0,X1] : ~ pair_in_list(create_slb,X0,X1),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1] : ~ pair_in_list(create_slb,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
fof(f247,plain,
~ spl16_8,
inference(avatar_split_clause,[],[f137,f244]) ).
fof(f137,plain,
insert_pq(i(triple(sK0,sK1,sK2)),sK3) != i(insert_cpq(triple(sK0,sK1,sK2),sK3)),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
insert_pq(i(triple(sK0,sK1,sK2)),sK3) != i(insert_cpq(triple(sK0,sK1,sK2),sK3)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f77,f120]) ).
fof(f120,plain,
( ? [X0,X1,X2,X3] : insert_pq(i(triple(X0,X1,X2)),X3) != i(insert_cpq(triple(X0,X1,X2),X3))
=> insert_pq(i(triple(sK0,sK1,sK2)),sK3) != i(insert_cpq(triple(sK0,sK1,sK2),sK3)) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
? [X0,X1,X2,X3] : insert_pq(i(triple(X0,X1,X2)),X3) != i(insert_cpq(triple(X0,X1,X2),X3)),
inference(ennf_transformation,[],[f65]) ).
fof(f65,negated_conjecture,
~ ! [X0,X1,X2,X3] : insert_pq(i(triple(X0,X1,X2)),X3) = i(insert_cpq(triple(X0,X1,X2),X3)),
inference(negated_conjecture,[],[f64]) ).
fof(f64,conjecture,
! [X0,X1,X2,X3] : insert_pq(i(triple(X0,X1,X2)),X3) = i(insert_cpq(triple(X0,X1,X2),X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co2) ).
fof(f242,plain,
spl16_7,
inference(avatar_split_clause,[],[f146,f240]) ).
fof(f146,plain,
! [X0] : less_than(bottom,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] : less_than(bottom,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bottom_smallest) ).
fof(f238,plain,
spl16_6,
inference(avatar_split_clause,[],[f145,f236]) ).
fof(f145,plain,
! [X0] : less_than(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : less_than(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f234,plain,
spl16_5,
inference(avatar_split_clause,[],[f144,f232]) ).
fof(f144,plain,
! [X0] : succ_cpq(X0,X0),
inference(cnf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] : succ_cpq(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax31) ).
fof(f230,plain,
spl16_4,
inference(avatar_split_clause,[],[f143,f228]) ).
fof(f143,plain,
! [X0] : ~ contains_slb(create_slb,X0),
inference(cnf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] : ~ contains_slb(create_slb,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
fof(f226,plain,
spl16_3,
inference(avatar_split_clause,[],[f142,f224]) ).
fof(f142,plain,
! [X0] : ~ contains_pq(create_pq,X0),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] : ~ contains_pq(create_pq,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f222,plain,
~ spl16_2,
inference(avatar_split_clause,[],[f139,f219]) ).
fof(f219,plain,
( spl16_2
<=> isnonempty_slb(create_slb) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).
fof(f139,plain,
~ isnonempty_slb(create_slb),
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
~ isnonempty_slb(create_slb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
fof(f217,plain,
~ spl16_1,
inference(avatar_split_clause,[],[f138,f214]) ).
fof(f214,plain,
( spl16_1
<=> isnonempty_pq(create_pq) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).
fof(f138,plain,
~ isnonempty_pq(create_pq),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
~ isnonempty_pq(create_pq),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV415+2 : TPTP v8.2.0. Released v3.3.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n024.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun May 19 07:36:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.22/0.36 % (24823)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (24826)WARNING: value z3 for option sas not known
% 0.22/0.38 % (24827)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38 % (24829)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.38 % (24824)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38 % (24828)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.22/0.38 % (24830)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.38 % (24825)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38 % (24826)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [2]
% 0.22/0.41 TRYING [3]
% 0.22/0.42 TRYING [1]
% 0.22/0.42 TRYING [2]
% 0.22/0.47 TRYING [4]
% 0.22/0.48 TRYING [3]
% 0.22/0.50 % (24828)First to succeed.
% 0.22/0.50 TRYING [1]
% 0.22/0.50 % (24826)Also succeeded, but the first one will report.
% 0.22/0.50 TRYING [2]
% 0.22/0.50 % (24828)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24823"
% 0.22/0.50 % (24828)Refutation found. Thanks to Tanya!
% 0.22/0.50 % SZS status Theorem for theBenchmark
% 0.22/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.51 % (24828)------------------------------
% 0.22/0.51 % (24828)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.51 % (24828)Termination reason: Refutation
% 0.22/0.51
% 0.22/0.51 % (24828)Memory used [KB]: 2608
% 0.22/0.51 % (24828)Time elapsed: 0.123 s
% 0.22/0.51 % (24828)Instructions burned: 280 (million)
% 0.22/0.51 % (24823)Success in time 0.133 s
%------------------------------------------------------------------------------