TSTP Solution File: SWC388+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC388+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:43:32 EDT 2022
% Result : Theorem 15.14s 2.31s
% Output : Refutation 15.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 282
% Syntax : Number of formulae : 1065 ( 50 unt; 0 def)
% Number of atoms : 4206 ( 732 equ)
% Maximal formula atoms : 28 ( 3 avg)
% Number of connectives : 5712 (2571 ~;2612 |; 196 &)
% ( 248 <=>; 85 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 245 ( 243 usr; 229 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 775 ( 704 !; 71 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2564,plain,
$false,
inference(avatar_smt_refutation,[],[f580,f585,f590,f595,f599,f604,f609,f614,f615,f620,f625,f630,f635,f640,f645,f646,f651,f656,f657,f666,f675,f680,f698,f704,f710,f720,f725,f746,f751,f756,f761,f780,f785,f786,f792,f797,f800,f803,f808,f824,f834,f838,f851,f861,f865,f881,f882,f890,f891,f910,f915,f939,f943,f947,f952,f956,f960,f961,f965,f966,f989,f994,f998,f1003,f1007,f1011,f1012,f1016,f1017,f1019,f1027,f1046,f1050,f1054,f1058,f1062,f1076,f1081,f1086,f1088,f1102,f1107,f1128,f1133,f1138,f1150,f1173,f1199,f1204,f1209,f1214,f1230,f1235,f1240,f1242,f1256,f1261,f1266,f1271,f1276,f1294,f1300,f1306,f1318,f1328,f1333,f1342,f1347,f1352,f1361,f1415,f1419,f1423,f1424,f1442,f1446,f1448,f1452,f1469,f1471,f1475,f1498,f1507,f1516,f1518,f1536,f1537,f1544,f1559,f1564,f1565,f1567,f1578,f1579,f1603,f1647,f1654,f1658,f1659,f1704,f1711,f1720,f1721,f1723,f1724,f1732,f1737,f1745,f1750,f1755,f1762,f1765,f1767,f1771,f1779,f1787,f1792,f1800,f1809,f1847,f1851,f1852,f1871,f1878,f1916,f1920,f1923,f1937,f1953,f1959,f1963,f1964,f1967,f1968,f1972,f1976,f1977,f1978,f1979,f1980,f1981,f1982,f1983,f1984,f1990,f2006,f2007,f2008,f2009,f2010,f2011,f2012,f2024,f2029,f2034,f2039,f2048,f2057,f2069,f2074,f2079,f2092,f2097,f2102,f2109,f2135,f2159,f2186,f2190,f2194,f2195,f2196,f2200,f2204,f2208,f2212,f2239,f2243,f2244,f2248,f2252,f2256,f2260,f2264,f2265,f2272,f2274,f2300,f2304,f2312,f2316,f2320,f2321,f2325,f2329,f2333,f2334,f2370,f2375,f2380,f2385,f2390,f2395,f2405,f2433,f2459,f2463,f2467,f2471,f2475,f2479,f2480,f2488,f2492,f2493,f2504,f2530,f2542,f2549,f2555,f2559,f2563]) ).
fof(f2563,plain,
( ~ spl51_152
| ~ spl51_4
| spl51_228
| ~ spl51_70 ),
inference(avatar_split_clause,[],[f2553,f1052,f2561,f592,f1987]) ).
fof(f1987,plain,
( spl51_152
<=> ssList(sK0(sK42,sK43)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_152])]) ).
fof(f592,plain,
( spl51_4
<=> ssList(sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_4])]) ).
fof(f2561,plain,
( spl51_228
<=> ! [X0] :
( memberP(sK42,X0)
| ~ ssItem(X0)
| ~ memberP(sK43,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_228])]) ).
fof(f1052,plain,
( spl51_70
<=> ! [X6] :
( ~ ssItem(X6)
| memberP(sK42,X6)
| ~ memberP(app(sK0(sK42,sK43),sK43),X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_70])]) ).
fof(f2553,plain,
( ! [X0] :
( memberP(sK42,X0)
| ~ ssList(sK43)
| ~ ssList(sK0(sK42,sK43))
| ~ memberP(sK43,X0)
| ~ ssItem(X0) )
| ~ spl51_70 ),
inference(duplicate_literal_removal,[],[f2550]) ).
fof(f2550,plain,
( ! [X0] :
( ~ memberP(sK43,X0)
| ~ ssList(sK0(sK42,sK43))
| ~ ssList(sK43)
| ~ ssItem(X0)
| memberP(sK42,X0)
| ~ ssItem(X0) )
| ~ spl51_70 ),
inference(resolution,[],[f1053,f347]) ).
fof(f347,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ memberP(X2,X0)
| ~ ssList(X2) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ! [X2] :
( ~ ssList(X2)
| ( ( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0) )
& ( memberP(app(X1,X2),X0)
| ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) ) ) ) )
| ~ ssList(X1) ) ),
inference(flattening,[],[f230]) ).
fof(f230,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ! [X2] :
( ~ ssList(X2)
| ( ( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0) )
& ( memberP(app(X1,X2),X0)
| ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) ) ) ) )
| ~ ssList(X1) ) ),
inference(nnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ! [X2] :
( ~ ssList(X2)
| ( ( memberP(X2,X0)
| memberP(X1,X0) )
<=> memberP(app(X1,X2),X0) ) )
| ~ ssList(X1) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( memberP(X2,X0)
| memberP(X1,X0) )
<=> memberP(app(X1,X2),X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).
fof(f1053,plain,
( ! [X6] :
( ~ memberP(app(sK0(sK42,sK43),sK43),X6)
| ~ ssItem(X6)
| memberP(sK42,X6) )
| ~ spl51_70 ),
inference(avatar_component_clause,[],[f1052]) ).
fof(f2559,plain,
( ~ spl51_4
| ~ spl51_152
| spl51_227
| ~ spl51_70 ),
inference(avatar_split_clause,[],[f2554,f1052,f2557,f1987,f592]) ).
fof(f2557,plain,
( spl51_227
<=> ! [X1] :
( ~ memberP(sK0(sK42,sK43),X1)
| memberP(sK42,X1)
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_227])]) ).
fof(f2554,plain,
( ! [X1] :
( ~ memberP(sK0(sK42,sK43),X1)
| ~ ssList(sK0(sK42,sK43))
| ~ ssItem(X1)
| ~ ssList(sK43)
| memberP(sK42,X1) )
| ~ spl51_70 ),
inference(duplicate_literal_removal,[],[f2551]) ).
fof(f2551,plain,
( ! [X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ memberP(sK0(sK42,sK43),X1)
| ~ ssList(sK43)
| ~ ssList(sK0(sK42,sK43))
| memberP(sK42,X1) )
| ~ spl51_70 ),
inference(resolution,[],[f1053,f346]) ).
fof(f346,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(X2)
| ~ memberP(X1,X0) ),
inference(cnf_transformation,[],[f231]) ).
fof(f2555,plain,
( ~ spl51_68
| spl51_35
| ~ spl51_152
| ~ spl51_28
| ~ spl51_46
| ~ spl51_70 ),
inference(avatar_split_clause,[],[f2552,f1052,f913,f743,f1987,f805,f1043]) ).
fof(f1043,plain,
( spl51_68
<=> ssList(app(sK0(sK42,sK43),sK43)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_68])]) ).
fof(f805,plain,
( spl51_35
<=> memberP(sK42,sK9(sK43)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_35])]) ).
fof(f743,plain,
( spl51_28
<=> ssItem(sK9(sK43)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_28])]) ).
fof(f913,plain,
( spl51_46
<=> ! [X0] :
( memberP(app(X0,sK43),sK9(sK43))
| ~ ssList(app(X0,sK43))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_46])]) ).
fof(f2552,plain,
( ~ ssItem(sK9(sK43))
| ~ ssList(sK0(sK42,sK43))
| memberP(sK42,sK9(sK43))
| ~ ssList(app(sK0(sK42,sK43),sK43))
| ~ spl51_46
| ~ spl51_70 ),
inference(resolution,[],[f1053,f914]) ).
fof(f914,plain,
( ! [X0] :
( memberP(app(X0,sK43),sK9(sK43))
| ~ ssList(app(X0,sK43))
| ~ ssList(X0) )
| ~ spl51_46 ),
inference(avatar_component_clause,[],[f913]) ).
fof(f2549,plain,
( ~ spl51_13
| spl51_226
| ~ spl51_62 ),
inference(avatar_split_clause,[],[f2545,f1005,f2547,f637]) ).
fof(f637,plain,
( spl51_13
<=> ssList(sK42) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_13])]) ).
fof(f2547,plain,
( spl51_226
<=> ! [X0] :
( ~ ssList(X0)
| memberP(app(X0,sK42),sK27(sK42)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_226])]) ).
fof(f1005,plain,
( spl51_62
<=> ! [X10] :
( memberP(app(X10,sK42),sK27(sK42))
| ~ ssList(X10)
| ~ ssList(app(X10,sK42)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_62])]) ).
fof(f2545,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(sK42)
| memberP(app(X0,sK42),sK27(sK42)) )
| ~ spl51_62 ),
inference(duplicate_literal_removal,[],[f2543]) ).
fof(f2543,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(X0)
| ~ ssList(sK42)
| memberP(app(X0,sK42),sK27(sK42)) )
| ~ spl51_62 ),
inference(resolution,[],[f1006,f488]) ).
fof(f488,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f1006,plain,
( ! [X10] :
( ~ ssList(app(X10,sK42))
| memberP(app(X10,sK42),sK27(sK42))
| ~ ssList(X10) )
| ~ spl51_62 ),
inference(avatar_component_clause,[],[f1005]) ).
fof(f2542,plain,
( ~ spl51_28
| spl51_225
| ~ spl51_46 ),
inference(avatar_split_clause,[],[f2538,f913,f2540,f743]) ).
fof(f2540,plain,
( spl51_225
<=> ! [X1] :
( ~ ssList(app(X1,sK43))
| app(X1,sK43) = app(sK19(app(X1,sK43),sK9(sK43)),cons(sK9(sK43),sK20(app(X1,sK43),sK9(sK43))))
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_225])]) ).
fof(f2538,plain,
( ! [X1] :
( ~ ssList(app(X1,sK43))
| ~ ssItem(sK9(sK43))
| ~ ssList(X1)
| app(X1,sK43) = app(sK19(app(X1,sK43),sK9(sK43)),cons(sK9(sK43),sK20(app(X1,sK43),sK9(sK43)))) )
| ~ spl51_46 ),
inference(duplicate_literal_removal,[],[f2535]) ).
fof(f2535,plain,
( ! [X1] :
( ~ ssList(app(X1,sK43))
| ~ ssList(X1)
| ~ ssList(app(X1,sK43))
| ~ ssItem(sK9(sK43))
| app(X1,sK43) = app(sK19(app(X1,sK43),sK9(sK43)),cons(sK9(sK43),sK20(app(X1,sK43),sK9(sK43)))) )
| ~ spl51_46 ),
inference(resolution,[],[f914,f405]) ).
fof(f405,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| app(sK19(X0,X1),cons(X1,sK20(X0,X1))) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f274]) ).
fof(f274,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ( app(sK19(X0,X1),cons(X1,sK20(X0,X1))) = X0
& ssList(sK20(X0,X1))
& ssList(sK19(X0,X1)) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20])],[f271,f273,f272]) ).
fof(f272,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( app(X4,cons(X1,X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( app(sK19(X0,X1),cons(X1,X5)) = X0
& ssList(X5) )
& ssList(sK19(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f273,plain,
! [X0,X1] :
( ? [X5] :
( app(sK19(X0,X1),cons(X1,X5)) = X0
& ssList(X5) )
=> ( app(sK19(X0,X1),cons(X1,sK20(X0,X1))) = X0
& ssList(sK20(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f271,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X4] :
( ? [X5] :
( app(X4,cons(X1,X5)) = X0
& ssList(X5) )
& ssList(X4) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) ) ),
inference(rectify,[],[f270]) ).
fof(f270,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) ) ),
inference(nnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ( memberP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) )
| ~ ssItem(X1) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f2530,plain,
( ~ spl51_224
| spl51_222
| ~ spl51_223 ),
inference(avatar_split_clause,[],[f2519,f2501,f2497,f2527]) ).
fof(f2527,plain,
( spl51_224
<=> memberP(nil,sK9(sK43)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_224])]) ).
fof(f2497,plain,
( spl51_222
<=> memberP(nil,sK27(sK43)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_222])]) ).
fof(f2501,plain,
( spl51_223
<=> sK9(sK43) = sK27(sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_223])]) ).
fof(f2519,plain,
( ~ memberP(nil,sK9(sK43))
| spl51_222
| ~ spl51_223 ),
inference(backward_demodulation,[],[f2498,f2503]) ).
fof(f2503,plain,
( sK9(sK43) = sK27(sK43)
| ~ spl51_223 ),
inference(avatar_component_clause,[],[f2501]) ).
fof(f2498,plain,
( ~ memberP(nil,sK27(sK43))
| spl51_222 ),
inference(avatar_component_clause,[],[f2497]) ).
fof(f2504,plain,
( spl51_222
| spl51_223
| ~ spl51_48
| ~ spl51_40
| ~ spl51_52 ),
inference(avatar_split_clause,[],[f2495,f949,f849,f932,f2501,f2497]) ).
fof(f932,plain,
( spl51_48
<=> ssItem(sK27(sK43)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_48])]) ).
fof(f849,plain,
( spl51_40
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(sK43,X0)
| sK9(sK43) = X0
| memberP(nil,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_40])]) ).
fof(f949,plain,
( spl51_52
<=> memberP(sK43,sK27(sK43)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_52])]) ).
fof(f2495,plain,
( ~ ssItem(sK27(sK43))
| sK9(sK43) = sK27(sK43)
| memberP(nil,sK27(sK43))
| ~ spl51_40
| ~ spl51_52 ),
inference(resolution,[],[f850,f951]) ).
fof(f951,plain,
( memberP(sK43,sK27(sK43))
| ~ spl51_52 ),
inference(avatar_component_clause,[],[f949]) ).
fof(f850,plain,
( ! [X0] :
( ~ memberP(sK43,X0)
| ~ ssItem(X0)
| sK9(sK43) = X0
| memberP(nil,X0) )
| ~ spl51_40 ),
inference(avatar_component_clause,[],[f849]) ).
fof(f2493,plain,
( ~ spl51_211
| spl51_217
| ~ spl51_212
| ~ spl51_89 ),
inference(avatar_split_clause,[],[f2441,f1237,f2453,f2473,f2449]) ).
fof(f2449,plain,
( spl51_211
<=> ssList(app(sK0(sK42,nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_211])]) ).
fof(f2473,plain,
( spl51_217
<=> ! [X5] :
( sK1(sK42,nil) = X5
| ~ ssList(X5)
| sK42 != app(app(sK0(sK42,nil),nil),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_217])]) ).
fof(f2453,plain,
( spl51_212
<=> ssList(sK1(sK42,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_212])]) ).
fof(f1237,plain,
( spl51_89
<=> sK42 = app(app(sK0(sK42,nil),nil),sK1(sK42,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_89])]) ).
fof(f2441,plain,
( ! [X4] :
( ~ ssList(sK1(sK42,nil))
| app(app(sK0(sK42,nil),nil),X4) != sK42
| sK1(sK42,nil) = X4
| ~ ssList(X4)
| ~ ssList(app(sK0(sK42,nil),nil)) )
| ~ spl51_89 ),
inference(superposition,[],[f431,f1239]) ).
fof(f1239,plain,
( sK42 = app(app(sK0(sK42,nil),nil),sK1(sK42,nil))
| ~ spl51_89 ),
inference(avatar_component_clause,[],[f1237]) ).
fof(f431,plain,
! [X2,X0,X1] :
( app(X1,X2) != app(X1,X0)
| ~ ssList(X0)
| ~ ssList(X2)
| X0 = X2
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ! [X2] :
( app(X1,X2) != app(X1,X0)
| X0 = X2
| ~ ssList(X2) )
| ~ ssList(X1) ) ),
inference(flattening,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X1,X2) != app(X1,X0)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X1,X2) = app(X1,X0)
=> X0 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax80) ).
fof(f2492,plain,
( ~ spl51_211
| spl51_221
| ~ spl51_212
| ~ spl51_89 ),
inference(avatar_split_clause,[],[f2436,f1237,f2453,f2490,f2449]) ).
fof(f2490,plain,
( spl51_221
<=> ! [X1] :
( ~ ssItem(X1)
| ~ memberP(app(sK0(sK42,nil),nil),X1)
| memberP(sK42,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_221])]) ).
fof(f2436,plain,
( ! [X1] :
( ~ ssList(sK1(sK42,nil))
| ~ ssItem(X1)
| memberP(sK42,X1)
| ~ memberP(app(sK0(sK42,nil),nil),X1)
| ~ ssList(app(sK0(sK42,nil),nil)) )
| ~ spl51_89 ),
inference(superposition,[],[f346,f1239]) ).
fof(f2488,plain,
( spl51_219
| ~ spl51_212
| ~ spl51_1
| ~ spl51_220
| ~ spl51_89 ),
inference(avatar_split_clause,[],[f2435,f1237,f2485,f577,f2453,f2482]) ).
fof(f2482,plain,
( spl51_219
<=> ! [X0] :
( ~ segmentP(nil,X0)
| segmentP(sK42,X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_219])]) ).
fof(f577,plain,
( spl51_1
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_1])]) ).
fof(f2485,plain,
( spl51_220
<=> ssList(sK0(sK42,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_220])]) ).
fof(f2435,plain,
( ! [X0] :
( ~ ssList(sK0(sK42,nil))
| ~ ssList(nil)
| ~ ssList(sK1(sK42,nil))
| ~ segmentP(nil,X0)
| ~ ssList(X0)
| segmentP(sK42,X0) )
| ~ spl51_89 ),
inference(superposition,[],[f483,f1239]) ).
fof(f483,plain,
! [X2,X3,X0,X1] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f214]) ).
fof(f214,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1)
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f213]) ).
fof(f213,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1)
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( segmentP(X0,X1)
=> segmentP(app(app(X2,X0),X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax56) ).
fof(f2480,plain,
( spl51_214
| ~ spl51_212
| ~ spl51_211
| ~ spl51_89 ),
inference(avatar_split_clause,[],[f2444,f1237,f2449,f2453,f2461]) ).
fof(f2461,plain,
( spl51_214
<=> ! [X6] :
( app(sK0(sK42,nil),nil) = X6
| sK42 != app(X6,sK1(sK42,nil))
| ~ ssList(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_214])]) ).
fof(f2444,plain,
( ! [X7] :
( ~ ssList(app(sK0(sK42,nil),nil))
| ~ ssList(sK1(sK42,nil))
| app(X7,sK1(sK42,nil)) != sK42
| ~ ssList(X7)
| app(sK0(sK42,nil),nil) = X7 )
| ~ spl51_89 ),
inference(superposition,[],[f433,f1239]) ).
fof(f433,plain,
! [X2,X0,X1] :
( app(X2,X1) != app(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X2
| ~ ssList(X2) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( app(X2,X1) != app(X0,X1)
| X0 = X2
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f144]) ).
fof(f144,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X2,X1) != app(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X2,X1) = app(X0,X1)
=> X0 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax79) ).
fof(f2479,plain,
( ~ spl51_212
| spl51_218
| ~ spl51_211
| ~ spl51_89 ),
inference(avatar_split_clause,[],[f2447,f1237,f2449,f2477,f2453]) ).
fof(f2477,plain,
( spl51_218
<=> ! [X10] :
( segmentP(app(sK42,X10),sK1(sK42,nil))
| ~ ssList(app(sK42,X10))
| ~ ssList(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_218])]) ).
fof(f2447,plain,
( ! [X10] :
( ~ ssList(app(sK0(sK42,nil),nil))
| segmentP(app(sK42,X10),sK1(sK42,nil))
| ~ ssList(X10)
| ~ ssList(app(sK42,X10))
| ~ ssList(sK1(sK42,nil)) )
| ~ spl51_89 ),
inference(superposition,[],[f543,f1239]) ).
fof(f543,plain,
! [X2,X3,X1] :
( ~ ssList(app(app(X2,X1),X3))
| ~ ssList(X2)
| segmentP(app(app(X2,X1),X3),X1)
| ~ ssList(X1)
| ~ ssList(X3) ),
inference(equality_resolution,[],[f344]) ).
fof(f344,plain,
! [X2,X3,X0,X1] :
( segmentP(X0,X1)
| app(app(X2,X1),X3) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f229]) ).
fof(f229,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ( app(app(sK0(X0,X1),X1),sK1(X0,X1)) = X0
& ssList(sK1(X0,X1))
& ssList(sK0(X0,X1)) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f226,f228,f227]) ).
fof(f227,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( app(app(X4,X1),X5) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( app(app(sK0(X0,X1),X1),X5) = X0
& ssList(X5) )
& ssList(sK0(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f228,plain,
! [X0,X1] :
( ? [X5] :
( app(app(sK0(X0,X1),X1),X5) = X0
& ssList(X5) )
=> ( app(app(sK0(X0,X1),X1),sK1(X0,X1)) = X0
& ssList(sK1(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f226,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X4] :
( ? [X5] :
( app(app(X4,X1),X5) = X0
& ssList(X5) )
& ssList(X4) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f225]) ).
fof(f225,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0] :
( ! [X1] :
( ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f2475,plain,
( ~ spl51_211
| ~ spl51_212
| spl51_217
| ~ spl51_89 ),
inference(avatar_split_clause,[],[f2442,f1237,f2473,f2453,f2449]) ).
fof(f2442,plain,
( ! [X5] :
( sK1(sK42,nil) = X5
| ~ ssList(sK1(sK42,nil))
| sK42 != app(app(sK0(sK42,nil),nil),X5)
| ~ ssList(app(sK0(sK42,nil),nil))
| ~ ssList(X5) )
| ~ spl51_89 ),
inference(superposition,[],[f431,f1239]) ).
fof(f2471,plain,
( ~ spl51_211
| spl51_216
| ~ spl51_212
| ~ spl51_89 ),
inference(avatar_split_clause,[],[f2438,f1237,f2453,f2469,f2449]) ).
fof(f2469,plain,
( spl51_216
<=> ! [X3] :
( ~ memberP(sK42,X3)
| memberP(sK1(sK42,nil),X3)
| ~ ssItem(X3)
| memberP(app(sK0(sK42,nil),nil),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_216])]) ).
fof(f2438,plain,
( ! [X3] :
( ~ ssList(sK1(sK42,nil))
| ~ memberP(sK42,X3)
| ~ ssList(app(sK0(sK42,nil),nil))
| memberP(app(sK0(sK42,nil),nil),X3)
| ~ ssItem(X3)
| memberP(sK1(sK42,nil),X3) )
| ~ spl51_89 ),
inference(superposition,[],[f348,f1239]) ).
fof(f348,plain,
! [X2,X0,X1] :
( ~ memberP(app(X1,X2),X0)
| ~ ssItem(X0)
| memberP(X2,X0)
| ~ ssList(X2)
| memberP(X1,X0)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f2467,plain,
( spl51_215
| ~ spl51_211
| ~ spl51_212
| ~ spl51_89 ),
inference(avatar_split_clause,[],[f2437,f1237,f2453,f2449,f2465]) ).
fof(f2465,plain,
( spl51_215
<=> ! [X2] :
( ~ ssItem(X2)
| memberP(sK42,X2)
| ~ memberP(sK1(sK42,nil),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_215])]) ).
fof(f2437,plain,
( ! [X2] :
( ~ ssList(sK1(sK42,nil))
| ~ ssList(app(sK0(sK42,nil),nil))
| ~ ssItem(X2)
| ~ memberP(sK1(sK42,nil),X2)
| memberP(sK42,X2) )
| ~ spl51_89 ),
inference(superposition,[],[f347,f1239]) ).
fof(f2463,plain,
( ~ spl51_211
| spl51_214
| ~ spl51_212
| ~ spl51_89 ),
inference(avatar_split_clause,[],[f2443,f1237,f2453,f2461,f2449]) ).
fof(f2443,plain,
( ! [X6] :
( ~ ssList(sK1(sK42,nil))
| app(sK0(sK42,nil),nil) = X6
| ~ ssList(app(sK0(sK42,nil),nil))
| ~ ssList(X6)
| sK42 != app(X6,sK1(sK42,nil)) )
| ~ spl51_89 ),
inference(superposition,[],[f433,f1239]) ).
fof(f2459,plain,
( ~ spl51_211
| ~ spl51_212
| spl51_213
| ~ spl51_89 ),
inference(avatar_split_clause,[],[f2445,f1237,f2457,f2453,f2449]) ).
fof(f2457,plain,
( spl51_213
<=> ! [X9,X8] :
( ~ ssList(X9)
| ~ segmentP(sK1(sK42,nil),X9)
| ~ ssList(X8)
| segmentP(app(sK42,X8),X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_213])]) ).
fof(f2445,plain,
( ! [X8,X9] :
( ~ ssList(X9)
| ~ ssList(X8)
| ~ ssList(sK1(sK42,nil))
| segmentP(app(sK42,X8),X9)
| ~ ssList(app(sK0(sK42,nil),nil))
| ~ segmentP(sK1(sK42,nil),X9) )
| ~ spl51_89 ),
inference(superposition,[],[f483,f1239]) ).
fof(f2433,plain,
( ~ spl51_210
| ~ spl51_4
| spl51_181 ),
inference(avatar_split_clause,[],[f2428,f2233,f592,f2430]) ).
fof(f2430,plain,
( spl51_210
<=> segmentP(sK43,sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_210])]) ).
fof(f2233,plain,
( spl51_181
<=> ssList(sK1(sK43,sK43)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_181])]) ).
fof(f2428,plain,
( ~ ssList(sK43)
| ~ segmentP(sK43,sK43)
| spl51_181 ),
inference(duplicate_literal_removal,[],[f2427]) ).
fof(f2427,plain,
( ~ segmentP(sK43,sK43)
| ~ ssList(sK43)
| ~ ssList(sK43)
| spl51_181 ),
inference(resolution,[],[f2235,f342]) ).
fof(f342,plain,
! [X0,X1] :
( ssList(sK1(X0,X1))
| ~ ssList(X1)
| ~ segmentP(X0,X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f229]) ).
fof(f2235,plain,
( ~ ssList(sK1(sK43,sK43))
| spl51_181 ),
inference(avatar_component_clause,[],[f2233]) ).
fof(f2405,plain,
( spl51_209
| ~ spl51_83
| ~ spl51_201 ),
inference(avatar_split_clause,[],[f2400,f2359,f1196,f2402]) ).
fof(f2402,plain,
( spl51_209
<=> app(app(sK0(sK42,sK42),sK42),nil) = sK42 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_209])]) ).
fof(f1196,plain,
( spl51_83
<=> app(app(sK0(sK42,sK42),sK42),sK1(sK42,sK42)) = sK42 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_83])]) ).
fof(f2359,plain,
( spl51_201
<=> nil = sK1(sK42,sK42) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_201])]) ).
fof(f2400,plain,
( app(app(sK0(sK42,sK42),sK42),nil) = sK42
| ~ spl51_83
| ~ spl51_201 ),
inference(backward_demodulation,[],[f1198,f2361]) ).
fof(f2361,plain,
( nil = sK1(sK42,sK42)
| ~ spl51_201 ),
inference(avatar_component_clause,[],[f2359]) ).
fof(f1198,plain,
( app(app(sK0(sK42,sK42),sK42),sK1(sK42,sK42)) = sK42
| ~ spl51_83 ),
inference(avatar_component_clause,[],[f1196]) ).
fof(f2395,plain,
( spl51_208
| ~ spl51_172 ),
inference(avatar_split_clause,[],[f2354,f2180,f2392]) ).
fof(f2392,plain,
( spl51_208
<=> app(sK1(sK42,sK42),nil) = sK1(sK42,sK42) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_208])]) ).
fof(f2180,plain,
( spl51_172
<=> ssList(sK1(sK42,sK42)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_172])]) ).
fof(f2354,plain,
( app(sK1(sK42,sK42),nil) = sK1(sK42,sK42)
| ~ spl51_172 ),
inference(resolution,[],[f2181,f535]) ).
fof(f535,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax84) ).
fof(f2181,plain,
( ssList(sK1(sK42,sK42))
| ~ spl51_172 ),
inference(avatar_component_clause,[],[f2180]) ).
fof(f2390,plain,
( spl51_207
| ~ spl51_172 ),
inference(avatar_split_clause,[],[f2351,f2180,f2387]) ).
fof(f2387,plain,
( spl51_207
<=> sK1(sK42,sK42) = app(nil,sK1(sK42,sK42)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_207])]) ).
fof(f2351,plain,
( sK1(sK42,sK42) = app(nil,sK1(sK42,sK42))
| ~ spl51_172 ),
inference(resolution,[],[f2181,f436]) ).
fof(f436,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
fof(f2385,plain,
( spl51_206
| ~ spl51_172 ),
inference(avatar_split_clause,[],[f2356,f2180,f2382]) ).
fof(f2382,plain,
( spl51_206
<=> app(app(sK0(sK1(sK42,sK42),sK1(sK42,sK42)),sK1(sK42,sK42)),sK1(sK1(sK42,sK42),sK1(sK42,sK42))) = sK1(sK42,sK42) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_206])]) ).
fof(f2356,plain,
( app(app(sK0(sK1(sK42,sK42),sK1(sK42,sK42)),sK1(sK42,sK42)),sK1(sK1(sK42,sK42),sK1(sK42,sK42))) = sK1(sK42,sK42)
| ~ spl51_172 ),
inference(resolution,[],[f2181,f856]) ).
fof(f856,plain,
! [X1] :
( ~ ssList(X1)
| app(app(sK0(X1,X1),X1),sK1(X1,X1)) = X1 ),
inference(duplicate_literal_removal,[],[f853]) ).
fof(f853,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| app(app(sK0(X1,X1),X1),sK1(X1,X1)) = X1
| ~ ssList(X1) ),
inference(resolution,[],[f343,f446]) ).
fof(f446,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax55) ).
fof(f343,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| app(app(sK0(X0,X1),X1),sK1(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f229]) ).
fof(f2380,plain,
( spl51_205
| ~ spl51_42
| ~ spl51_172 ),
inference(avatar_split_clause,[],[f2357,f2180,f863,f2377]) ).
fof(f2377,plain,
( spl51_205
<=> sK1(sK42,sK42) = app(app(sK0(sK1(sK42,sK42),nil),nil),sK1(sK1(sK42,sK42),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_205])]) ).
fof(f863,plain,
( spl51_42
<=> ! [X0] :
( ~ ssList(X0)
| app(app(sK0(X0,nil),nil),sK1(X0,nil)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_42])]) ).
fof(f2357,plain,
( sK1(sK42,sK42) = app(app(sK0(sK1(sK42,sK42),nil),nil),sK1(sK1(sK42,sK42),nil))
| ~ spl51_42
| ~ spl51_172 ),
inference(resolution,[],[f2181,f864]) ).
fof(f864,plain,
( ! [X0] :
( ~ ssList(X0)
| app(app(sK0(X0,nil),nil),sK1(X0,nil)) = X0 )
| ~ spl51_42 ),
inference(avatar_component_clause,[],[f863]) ).
fof(f2375,plain,
( spl51_204
| spl51_201
| ~ spl51_172 ),
inference(avatar_split_clause,[],[f2353,f2180,f2359,f2372]) ).
fof(f2372,plain,
( spl51_204
<=> sK1(sK42,sK42) = cons(sK27(sK1(sK42,sK42)),sK26(sK1(sK42,sK42))) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_204])]) ).
fof(f2353,plain,
( nil = sK1(sK42,sK42)
| sK1(sK42,sK42) = cons(sK27(sK1(sK42,sK42)),sK26(sK1(sK42,sK42)))
| ~ spl51_172 ),
inference(resolution,[],[f2181,f448]) ).
fof(f448,plain,
! [X0] :
( ~ ssList(X0)
| cons(sK27(X0),sK26(X0)) = X0
| nil = X0 ),
inference(cnf_transformation,[],[f292]) ).
fof(f292,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ( ssItem(sK27(X0))
& cons(sK27(X0),sK26(X0)) = X0
& ssList(sK26(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26,sK27])],[f170,f291,f290]) ).
fof(f290,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 )
& ssList(X1) )
=> ( ? [X2] :
( ssItem(X2)
& cons(X2,sK26(X0)) = X0 )
& ssList(sK26(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f291,plain,
! [X0] :
( ? [X2] :
( ssItem(X2)
& cons(X2,sK26(X0)) = X0 )
=> ( ssItem(sK27(X0))
& cons(sK27(X0),sK26(X0)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f170,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ? [X1] :
( ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 )
& ssList(X1) ) ),
inference(flattening,[],[f169]) ).
fof(f169,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 )
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ssList(X0)
=> ( ? [X1] :
( ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 )
& ssList(X1) )
| nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
fof(f2370,plain,
( spl51_201
| spl51_202
| spl51_203
| ~ spl51_172 ),
inference(avatar_split_clause,[],[f2355,f2180,f2367,f2363,f2359]) ).
fof(f2363,plain,
( spl51_202
<=> cons(sK27(sK26(sK1(sK42,sK42))),sK26(sK26(sK1(sK42,sK42)))) = sK26(sK1(sK42,sK42)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_202])]) ).
fof(f2367,plain,
( spl51_203
<=> nil = sK26(sK1(sK42,sK42)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_203])]) ).
fof(f2355,plain,
( nil = sK26(sK1(sK42,sK42))
| cons(sK27(sK26(sK1(sK42,sK42))),sK26(sK26(sK1(sK42,sK42)))) = sK26(sK1(sK42,sK42))
| nil = sK1(sK42,sK42)
| ~ spl51_172 ),
inference(resolution,[],[f2181,f773]) ).
fof(f773,plain,
! [X10] :
( ~ ssList(X10)
| nil = sK26(X10)
| nil = X10
| sK26(X10) = cons(sK27(sK26(X10)),sK26(sK26(X10))) ),
inference(resolution,[],[f448,f447]) ).
fof(f447,plain,
! [X0] :
( ssList(sK26(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f2334,plain,
( ~ spl51_191
| ~ spl51_192
| spl51_193
| ~ spl51_88 ),
inference(avatar_split_clause,[],[f2285,f1232,f2302,f2297,f2293]) ).
fof(f2293,plain,
( spl51_191
<=> ssList(app(sK0(sK43,nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_191])]) ).
fof(f2297,plain,
( spl51_192
<=> ssList(sK1(sK43,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_192])]) ).
fof(f2302,plain,
( spl51_193
<=> ! [X6] :
( app(X6,sK1(sK43,nil)) != sK43
| app(sK0(sK43,nil),nil) = X6
| ~ ssList(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_193])]) ).
fof(f1232,plain,
( spl51_88
<=> sK43 = app(app(sK0(sK43,nil),nil),sK1(sK43,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_88])]) ).
fof(f2285,plain,
( ! [X7] :
( ~ ssList(X7)
| app(X7,sK1(sK43,nil)) != sK43
| app(sK0(sK43,nil),nil) = X7
| ~ ssList(sK1(sK43,nil))
| ~ ssList(app(sK0(sK43,nil),nil)) )
| ~ spl51_88 ),
inference(superposition,[],[f433,f1234]) ).
fof(f1234,plain,
( sK43 = app(app(sK0(sK43,nil),nil),sK1(sK43,nil))
| ~ spl51_88 ),
inference(avatar_component_clause,[],[f1232]) ).
fof(f2333,plain,
( ~ spl51_192
| ~ spl51_191
| spl51_200
| ~ spl51_88 ),
inference(avatar_split_clause,[],[f2279,f1232,f2331,f2293,f2297]) ).
fof(f2331,plain,
( spl51_200
<=> ! [X3] :
( ~ ssItem(X3)
| memberP(app(sK0(sK43,nil),nil),X3)
| memberP(sK1(sK43,nil),X3)
| ~ memberP(sK43,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_200])]) ).
fof(f2279,plain,
( ! [X3] :
( ~ ssItem(X3)
| ~ memberP(sK43,X3)
| memberP(sK1(sK43,nil),X3)
| ~ ssList(app(sK0(sK43,nil),nil))
| ~ ssList(sK1(sK43,nil))
| memberP(app(sK0(sK43,nil),nil),X3) )
| ~ spl51_88 ),
inference(superposition,[],[f348,f1234]) ).
fof(f2329,plain,
( ~ spl51_192
| ~ spl51_191
| spl51_199
| ~ spl51_88 ),
inference(avatar_split_clause,[],[f2278,f1232,f2327,f2293,f2297]) ).
fof(f2327,plain,
( spl51_199
<=> ! [X2] :
( ~ memberP(sK1(sK43,nil),X2)
| ~ ssItem(X2)
| memberP(sK43,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_199])]) ).
fof(f2278,plain,
( ! [X2] :
( ~ memberP(sK1(sK43,nil),X2)
| memberP(sK43,X2)
| ~ ssList(app(sK0(sK43,nil),nil))
| ~ ssItem(X2)
| ~ ssList(sK1(sK43,nil)) )
| ~ spl51_88 ),
inference(superposition,[],[f347,f1234]) ).
fof(f2325,plain,
( ~ spl51_192
| ~ spl51_191
| spl51_198
| ~ spl51_88 ),
inference(avatar_split_clause,[],[f2288,f1232,f2323,f2293,f2297]) ).
fof(f2323,plain,
( spl51_198
<=> ! [X10] :
( segmentP(app(sK43,X10),sK1(sK43,nil))
| ~ ssList(app(sK43,X10))
| ~ ssList(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_198])]) ).
fof(f2288,plain,
( ! [X10] :
( segmentP(app(sK43,X10),sK1(sK43,nil))
| ~ ssList(app(sK0(sK43,nil),nil))
| ~ ssList(X10)
| ~ ssList(app(sK43,X10))
| ~ ssList(sK1(sK43,nil)) )
| ~ spl51_88 ),
inference(superposition,[],[f543,f1234]) ).
fof(f2321,plain,
( ~ spl51_191
| spl51_196
| ~ spl51_192
| ~ spl51_88 ),
inference(avatar_split_clause,[],[f2283,f1232,f2297,f2314,f2293]) ).
fof(f2314,plain,
( spl51_196
<=> ! [X4] :
( sK1(sK43,nil) = X4
| sK43 != app(app(sK0(sK43,nil),nil),X4)
| ~ ssList(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_196])]) ).
fof(f2283,plain,
( ! [X5] :
( ~ ssList(sK1(sK43,nil))
| ~ ssList(X5)
| sK1(sK43,nil) = X5
| app(app(sK0(sK43,nil),nil),X5) != sK43
| ~ ssList(app(sK0(sK43,nil),nil)) )
| ~ spl51_88 ),
inference(superposition,[],[f431,f1234]) ).
fof(f2320,plain,
( ~ spl51_191
| spl51_197
| ~ spl51_192
| ~ spl51_88 ),
inference(avatar_split_clause,[],[f2286,f1232,f2297,f2318,f2293]) ).
fof(f2318,plain,
( spl51_197
<=> ! [X9,X8] :
( ~ ssList(X9)
| ~ segmentP(sK1(sK43,nil),X9)
| ~ ssList(X8)
| segmentP(app(sK43,X8),X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_197])]) ).
fof(f2286,plain,
( ! [X8,X9] :
( ~ ssList(sK1(sK43,nil))
| ~ ssList(X9)
| ~ ssList(app(sK0(sK43,nil),nil))
| segmentP(app(sK43,X8),X9)
| ~ ssList(X8)
| ~ segmentP(sK1(sK43,nil),X9) )
| ~ spl51_88 ),
inference(superposition,[],[f483,f1234]) ).
fof(f2316,plain,
( ~ spl51_191
| spl51_196
| ~ spl51_192
| ~ spl51_88 ),
inference(avatar_split_clause,[],[f2282,f1232,f2297,f2314,f2293]) ).
fof(f2282,plain,
( ! [X4] :
( ~ ssList(sK1(sK43,nil))
| sK1(sK43,nil) = X4
| ~ ssList(X4)
| sK43 != app(app(sK0(sK43,nil),nil),X4)
| ~ ssList(app(sK0(sK43,nil),nil)) )
| ~ spl51_88 ),
inference(superposition,[],[f431,f1234]) ).
fof(f2312,plain,
( ~ spl51_1
| ~ spl51_192
| ~ spl51_194
| spl51_195
| ~ spl51_88 ),
inference(avatar_split_clause,[],[f2276,f1232,f2310,f2306,f2297,f577]) ).
fof(f2306,plain,
( spl51_194
<=> ssList(sK0(sK43,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_194])]) ).
fof(f2310,plain,
( spl51_195
<=> ! [X0] :
( segmentP(sK43,X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_195])]) ).
fof(f2276,plain,
( ! [X0] :
( segmentP(sK43,X0)
| ~ segmentP(nil,X0)
| ~ ssList(sK0(sK43,nil))
| ~ ssList(sK1(sK43,nil))
| ~ ssList(nil)
| ~ ssList(X0) )
| ~ spl51_88 ),
inference(superposition,[],[f483,f1234]) ).
fof(f2304,plain,
( ~ spl51_192
| spl51_193
| ~ spl51_191
| ~ spl51_88 ),
inference(avatar_split_clause,[],[f2284,f1232,f2293,f2302,f2297]) ).
fof(f2284,plain,
( ! [X6] :
( ~ ssList(app(sK0(sK43,nil),nil))
| app(X6,sK1(sK43,nil)) != sK43
| ~ ssList(sK1(sK43,nil))
| ~ ssList(X6)
| app(sK0(sK43,nil),nil) = X6 )
| ~ spl51_88 ),
inference(superposition,[],[f433,f1234]) ).
fof(f2300,plain,
( spl51_190
| ~ spl51_191
| ~ spl51_192
| ~ spl51_88 ),
inference(avatar_split_clause,[],[f2277,f1232,f2297,f2293,f2290]) ).
fof(f2290,plain,
( spl51_190
<=> ! [X1] :
( ~ memberP(app(sK0(sK43,nil),nil),X1)
| ~ ssItem(X1)
| memberP(sK43,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_190])]) ).
fof(f2277,plain,
( ! [X1] :
( ~ ssList(sK1(sK43,nil))
| ~ ssList(app(sK0(sK43,nil),nil))
| ~ memberP(app(sK0(sK43,nil),nil),X1)
| memberP(sK43,X1)
| ~ ssItem(X1) )
| ~ spl51_88 ),
inference(superposition,[],[f346,f1234]) ).
fof(f2274,plain,
( ~ spl51_13
| spl51_189 ),
inference(avatar_split_clause,[],[f2273,f2269,f637]) ).
fof(f2269,plain,
( spl51_189
<=> segmentP(sK42,sK42) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_189])]) ).
fof(f2273,plain,
( ~ ssList(sK42)
| spl51_189 ),
inference(resolution,[],[f2271,f446]) ).
fof(f2271,plain,
( ~ segmentP(sK42,sK42)
| spl51_189 ),
inference(avatar_component_clause,[],[f2269]) ).
fof(f2272,plain,
( ~ spl51_189
| ~ spl51_13
| spl51_172 ),
inference(avatar_split_clause,[],[f2267,f2180,f637,f2269]) ).
fof(f2267,plain,
( ~ ssList(sK42)
| ~ segmentP(sK42,sK42)
| spl51_172 ),
inference(duplicate_literal_removal,[],[f2266]) ).
fof(f2266,plain,
( ~ segmentP(sK42,sK42)
| ~ ssList(sK42)
| ~ ssList(sK42)
| spl51_172 ),
inference(resolution,[],[f2182,f342]) ).
fof(f2182,plain,
( ~ ssList(sK1(sK42,sK42))
| spl51_172 ),
inference(avatar_component_clause,[],[f2180]) ).
fof(f2265,plain,
( spl51_187
| ~ spl51_180
| ~ spl51_181
| ~ spl51_85 ),
inference(avatar_split_clause,[],[f2221,f1206,f2233,f2229,f2258]) ).
fof(f2258,plain,
( spl51_187
<=> ! [X4] :
( ~ ssList(X4)
| sK1(sK43,sK43) = X4
| app(app(sK0(sK43,sK43),sK43),X4) != sK43 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_187])]) ).
fof(f2229,plain,
( spl51_180
<=> ssList(app(sK0(sK43,sK43),sK43)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_180])]) ).
fof(f1206,plain,
( spl51_85
<=> app(app(sK0(sK43,sK43),sK43),sK1(sK43,sK43)) = sK43 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_85])]) ).
fof(f2221,plain,
( ! [X5] :
( ~ ssList(sK1(sK43,sK43))
| ~ ssList(app(sK0(sK43,sK43),sK43))
| sK1(sK43,sK43) = X5
| sK43 != app(app(sK0(sK43,sK43),sK43),X5)
| ~ ssList(X5) )
| ~ spl51_85 ),
inference(superposition,[],[f431,f1208]) ).
fof(f1208,plain,
( app(app(sK0(sK43,sK43),sK43),sK1(sK43,sK43)) = sK43
| ~ spl51_85 ),
inference(avatar_component_clause,[],[f1206]) ).
fof(f2264,plain,
( ~ spl51_180
| ~ spl51_181
| spl51_188
| ~ spl51_85 ),
inference(avatar_split_clause,[],[f2215,f1206,f2262,f2233,f2229]) ).
fof(f2262,plain,
( spl51_188
<=> ! [X1] :
( ~ ssItem(X1)
| ~ memberP(app(sK0(sK43,sK43),sK43),X1)
| memberP(sK43,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_188])]) ).
fof(f2215,plain,
( ! [X1] :
( ~ ssItem(X1)
| ~ ssList(sK1(sK43,sK43))
| memberP(sK43,X1)
| ~ memberP(app(sK0(sK43,sK43),sK43),X1)
| ~ ssList(app(sK0(sK43,sK43),sK43)) )
| ~ spl51_85 ),
inference(superposition,[],[f346,f1208]) ).
fof(f2260,plain,
( ~ spl51_180
| ~ spl51_181
| spl51_187
| ~ spl51_85 ),
inference(avatar_split_clause,[],[f2220,f1206,f2258,f2233,f2229]) ).
fof(f2220,plain,
( ! [X4] :
( ~ ssList(X4)
| app(app(sK0(sK43,sK43),sK43),X4) != sK43
| sK1(sK43,sK43) = X4
| ~ ssList(sK1(sK43,sK43))
| ~ ssList(app(sK0(sK43,sK43),sK43)) )
| ~ spl51_85 ),
inference(superposition,[],[f431,f1208]) ).
fof(f2256,plain,
( ~ spl51_181
| ~ spl51_180
| spl51_186
| ~ spl51_85 ),
inference(avatar_split_clause,[],[f2226,f1206,f2254,f2229,f2233]) ).
fof(f2254,plain,
( spl51_186
<=> ! [X10] :
( segmentP(app(sK43,X10),sK1(sK43,sK43))
| ~ ssList(X10)
| ~ ssList(app(sK43,X10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_186])]) ).
fof(f2226,plain,
( ! [X10] :
( segmentP(app(sK43,X10),sK1(sK43,sK43))
| ~ ssList(app(sK0(sK43,sK43),sK43))
| ~ ssList(sK1(sK43,sK43))
| ~ ssList(app(sK43,X10))
| ~ ssList(X10) )
| ~ spl51_85 ),
inference(superposition,[],[f543,f1208]) ).
fof(f2252,plain,
( ~ spl51_181
| spl51_185
| ~ spl51_180
| ~ spl51_85 ),
inference(avatar_split_clause,[],[f2224,f1206,f2229,f2250,f2233]) ).
fof(f2250,plain,
( spl51_185
<=> ! [X9,X8] :
( ~ ssList(X8)
| ~ segmentP(sK1(sK43,sK43),X9)
| ~ ssList(X9)
| segmentP(app(sK43,X8),X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_185])]) ).
fof(f2224,plain,
( ! [X8,X9] :
( ~ ssList(app(sK0(sK43,sK43),sK43))
| ~ ssList(X8)
| segmentP(app(sK43,X8),X9)
| ~ ssList(sK1(sK43,sK43))
| ~ ssList(X9)
| ~ segmentP(sK1(sK43,sK43),X9) )
| ~ spl51_85 ),
inference(superposition,[],[f483,f1208]) ).
fof(f2248,plain,
( ~ spl51_181
| spl51_184
| ~ spl51_180
| ~ spl51_85 ),
inference(avatar_split_clause,[],[f2216,f1206,f2229,f2246,f2233]) ).
fof(f2246,plain,
( spl51_184
<=> ! [X2] :
( ~ ssItem(X2)
| memberP(sK43,X2)
| ~ memberP(sK1(sK43,sK43),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_184])]) ).
fof(f2216,plain,
( ! [X2] :
( ~ ssList(app(sK0(sK43,sK43),sK43))
| ~ ssItem(X2)
| ~ memberP(sK1(sK43,sK43),X2)
| ~ ssList(sK1(sK43,sK43))
| memberP(sK43,X2) )
| ~ spl51_85 ),
inference(superposition,[],[f347,f1208]) ).
fof(f2244,plain,
( ~ spl51_181
| ~ spl51_180
| spl51_182
| ~ spl51_85 ),
inference(avatar_split_clause,[],[f2223,f1206,f2237,f2229,f2233]) ).
fof(f2237,plain,
( spl51_182
<=> ! [X6] :
( ~ ssList(X6)
| app(sK0(sK43,sK43),sK43) = X6
| app(X6,sK1(sK43,sK43)) != sK43 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_182])]) ).
fof(f2223,plain,
( ! [X7] :
( sK43 != app(X7,sK1(sK43,sK43))
| ~ ssList(app(sK0(sK43,sK43),sK43))
| ~ ssList(X7)
| ~ ssList(sK1(sK43,sK43))
| app(sK0(sK43,sK43),sK43) = X7 )
| ~ spl51_85 ),
inference(superposition,[],[f433,f1208]) ).
fof(f2243,plain,
( ~ spl51_180
| ~ spl51_181
| spl51_183
| ~ spl51_85 ),
inference(avatar_split_clause,[],[f2217,f1206,f2241,f2233,f2229]) ).
fof(f2241,plain,
( spl51_183
<=> ! [X3] :
( memberP(sK1(sK43,sK43),X3)
| ~ memberP(sK43,X3)
| memberP(app(sK0(sK43,sK43),sK43),X3)
| ~ ssItem(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_183])]) ).
fof(f2217,plain,
( ! [X3] :
( memberP(sK1(sK43,sK43),X3)
| ~ ssList(sK1(sK43,sK43))
| ~ ssItem(X3)
| memberP(app(sK0(sK43,sK43),sK43),X3)
| ~ ssList(app(sK0(sK43,sK43),sK43))
| ~ memberP(sK43,X3) )
| ~ spl51_85 ),
inference(superposition,[],[f348,f1208]) ).
fof(f2239,plain,
( ~ spl51_180
| ~ spl51_181
| spl51_182
| ~ spl51_85 ),
inference(avatar_split_clause,[],[f2222,f1206,f2237,f2233,f2229]) ).
fof(f2222,plain,
( ! [X6] :
( ~ ssList(X6)
| ~ ssList(sK1(sK43,sK43))
| app(X6,sK1(sK43,sK43)) != sK43
| ~ ssList(app(sK0(sK43,sK43),sK43))
| app(sK0(sK43,sK43),sK43) = X6 )
| ~ spl51_85 ),
inference(superposition,[],[f433,f1208]) ).
fof(f2212,plain,
( spl51_179
| ~ spl51_171
| ~ spl51_172
| ~ spl51_83 ),
inference(avatar_split_clause,[],[f2164,f1196,f2180,f2176,f2210]) ).
fof(f2210,plain,
( spl51_179
<=> ! [X3] :
( ~ memberP(sK42,X3)
| ~ ssItem(X3)
| memberP(app(sK0(sK42,sK42),sK42),X3)
| memberP(sK1(sK42,sK42),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_179])]) ).
fof(f2176,plain,
( spl51_171
<=> ssList(app(sK0(sK42,sK42),sK42)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_171])]) ).
fof(f2164,plain,
( ! [X3] :
( ~ ssList(sK1(sK42,sK42))
| ~ ssList(app(sK0(sK42,sK42),sK42))
| ~ memberP(sK42,X3)
| memberP(sK1(sK42,sK42),X3)
| memberP(app(sK0(sK42,sK42),sK42),X3)
| ~ ssItem(X3) )
| ~ spl51_83 ),
inference(superposition,[],[f348,f1198]) ).
fof(f2208,plain,
( ~ spl51_172
| ~ spl51_171
| spl51_178
| ~ spl51_83 ),
inference(avatar_split_clause,[],[f2171,f1196,f2206,f2176,f2180]) ).
fof(f2206,plain,
( spl51_178
<=> ! [X9,X8] :
( ~ ssList(X8)
| segmentP(app(sK42,X8),X9)
| ~ ssList(X9)
| ~ segmentP(sK1(sK42,sK42),X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_178])]) ).
fof(f2171,plain,
( ! [X8,X9] :
( ~ ssList(X8)
| ~ ssList(app(sK0(sK42,sK42),sK42))
| ~ ssList(sK1(sK42,sK42))
| ~ ssList(X9)
| ~ segmentP(sK1(sK42,sK42),X9)
| segmentP(app(sK42,X8),X9) )
| ~ spl51_83 ),
inference(superposition,[],[f483,f1198]) ).
fof(f2204,plain,
( ~ spl51_171
| ~ spl51_172
| spl51_177
| ~ spl51_83 ),
inference(avatar_split_clause,[],[f2163,f1196,f2202,f2180,f2176]) ).
fof(f2202,plain,
( spl51_177
<=> ! [X2] :
( memberP(sK42,X2)
| ~ ssItem(X2)
| ~ memberP(sK1(sK42,sK42),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_177])]) ).
fof(f2163,plain,
( ! [X2] :
( memberP(sK42,X2)
| ~ ssList(sK1(sK42,sK42))
| ~ ssList(app(sK0(sK42,sK42),sK42))
| ~ memberP(sK1(sK42,sK42),X2)
| ~ ssItem(X2) )
| ~ spl51_83 ),
inference(superposition,[],[f347,f1198]) ).
fof(f2200,plain,
( spl51_176
| ~ spl51_172
| ~ spl51_171
| ~ spl51_83 ),
inference(avatar_split_clause,[],[f2162,f1196,f2176,f2180,f2198]) ).
fof(f2198,plain,
( spl51_176
<=> ! [X1] :
( ~ memberP(app(sK0(sK42,sK42),sK42),X1)
| ~ ssItem(X1)
| memberP(sK42,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_176])]) ).
fof(f2162,plain,
( ! [X1] :
( ~ ssList(app(sK0(sK42,sK42),sK42))
| ~ ssList(sK1(sK42,sK42))
| ~ memberP(app(sK0(sK42,sK42),sK42),X1)
| memberP(sK42,X1)
| ~ ssItem(X1) )
| ~ spl51_83 ),
inference(superposition,[],[f346,f1198]) ).
fof(f2196,plain,
( ~ spl51_171
| spl51_173
| ~ spl51_172
| ~ spl51_83 ),
inference(avatar_split_clause,[],[f2169,f1196,f2180,f2184,f2176]) ).
fof(f2184,plain,
( spl51_173
<=> ! [X7] :
( app(sK0(sK42,sK42),sK42) = X7
| ~ ssList(X7)
| sK42 != app(X7,sK1(sK42,sK42)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_173])]) ).
fof(f2169,plain,
( ! [X6] :
( ~ ssList(sK1(sK42,sK42))
| app(sK0(sK42,sK42),sK42) = X6
| ~ ssList(app(sK0(sK42,sK42),sK42))
| ~ ssList(X6)
| sK42 != app(X6,sK1(sK42,sK42)) )
| ~ spl51_83 ),
inference(superposition,[],[f433,f1198]) ).
fof(f2195,plain,
( ~ spl51_171
| spl51_174
| ~ spl51_172
| ~ spl51_83 ),
inference(avatar_split_clause,[],[f2168,f1196,f2180,f2188,f2176]) ).
fof(f2188,plain,
( spl51_174
<=> ! [X4] :
( sK1(sK42,sK42) = X4
| sK42 != app(app(sK0(sK42,sK42),sK42),X4)
| ~ ssList(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_174])]) ).
fof(f2168,plain,
( ! [X5] :
( ~ ssList(sK1(sK42,sK42))
| sK1(sK42,sK42) = X5
| app(app(sK0(sK42,sK42),sK42),X5) != sK42
| ~ ssList(app(sK0(sK42,sK42),sK42))
| ~ ssList(X5) )
| ~ spl51_83 ),
inference(superposition,[],[f431,f1198]) ).
fof(f2194,plain,
( ~ spl51_172
| ~ spl51_171
| spl51_175
| ~ spl51_83 ),
inference(avatar_split_clause,[],[f2173,f1196,f2192,f2176,f2180]) ).
fof(f2192,plain,
( spl51_175
<=> ! [X10] :
( ~ ssList(X10)
| ~ ssList(app(sK42,X10))
| segmentP(app(sK42,X10),sK1(sK42,sK42)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_175])]) ).
fof(f2173,plain,
( ! [X10] :
( ~ ssList(X10)
| segmentP(app(sK42,X10),sK1(sK42,sK42))
| ~ ssList(app(sK0(sK42,sK42),sK42))
| ~ ssList(sK1(sK42,sK42))
| ~ ssList(app(sK42,X10)) )
| ~ spl51_83 ),
inference(superposition,[],[f543,f1198]) ).
fof(f2190,plain,
( ~ spl51_172
| ~ spl51_171
| spl51_174
| ~ spl51_83 ),
inference(avatar_split_clause,[],[f2167,f1196,f2188,f2176,f2180]) ).
fof(f2167,plain,
( ! [X4] :
( sK1(sK42,sK42) = X4
| ~ ssList(app(sK0(sK42,sK42),sK42))
| ~ ssList(X4)
| ~ ssList(sK1(sK42,sK42))
| sK42 != app(app(sK0(sK42,sK42),sK42),X4) )
| ~ spl51_83 ),
inference(superposition,[],[f431,f1198]) ).
fof(f2186,plain,
( ~ spl51_171
| ~ spl51_172
| spl51_173
| ~ spl51_83 ),
inference(avatar_split_clause,[],[f2170,f1196,f2184,f2180,f2176]) ).
fof(f2170,plain,
( ! [X7] :
( app(sK0(sK42,sK42),sK42) = X7
| ~ ssList(sK1(sK42,sK42))
| sK42 != app(X7,sK1(sK42,sK42))
| ~ ssList(X7)
| ~ ssList(app(sK0(sK42,sK42),sK42)) )
| ~ spl51_83 ),
inference(superposition,[],[f433,f1198]) ).
fof(f2159,plain,
( ~ spl51_4
| spl51_170
| ~ spl51_13
| ~ spl51_8 ),
inference(avatar_split_clause,[],[f2145,f611,f637,f2157,f592]) ).
fof(f2157,plain,
( spl51_170
<=> ! [X6,X7] :
( ~ ssList(X6)
| app(app(sK0(app(X6,app(sK42,X7)),sK43),sK43),sK1(app(X6,app(sK42,X7)),sK43)) = app(X6,app(sK42,X7))
| ~ ssList(app(X6,app(sK42,X7)))
| ~ ssList(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_170])]) ).
fof(f611,plain,
( spl51_8
<=> segmentP(sK42,sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_8])]) ).
fof(f2145,plain,
( ! [X6,X7] :
( ~ ssList(sK42)
| ~ ssList(X6)
| ~ ssList(X7)
| ~ ssList(sK43)
| ~ ssList(app(X6,app(sK42,X7)))
| app(app(sK0(app(X6,app(sK42,X7)),sK43),sK43),sK1(app(X6,app(sK42,X7)),sK43)) = app(X6,app(sK42,X7)) )
| ~ spl51_8 ),
inference(resolution,[],[f902,f613]) ).
fof(f613,plain,
( segmentP(sK42,sK43)
| ~ spl51_8 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f902,plain,
! [X2,X3,X0,X1] :
( ~ segmentP(X3,X2)
| ~ ssList(X3)
| app(X0,app(X3,X1)) = app(app(sK0(app(X0,app(X3,X1)),X2),X2),sK1(app(X0,app(X3,X1)),X2))
| ~ ssList(app(X0,app(X3,X1)))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(forward_subsumption_demodulation,[],[f901,f444]) ).
fof(f444,plain,
! [X2,X0,X1] :
( ~ ssList(X1)
| app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ! [X2] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2) )
| ~ ssList(X1) ) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax82) ).
fof(f901,plain,
! [X2,X3,X0,X1] :
( app(app(sK0(app(app(X0,X3),X1),X2),X2),sK1(app(app(X0,X3),X1),X2)) = app(app(X0,X3),X1)
| ~ ssList(X0)
| ~ ssList(app(X0,app(X3,X1)))
| ~ segmentP(X3,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(forward_subsumption_demodulation,[],[f896,f444]) ).
fof(f896,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(app(X0,X3),X1))
| app(app(sK0(app(app(X0,X3),X1),X2),X2),sK1(app(app(X0,X3),X1),X2)) = app(app(X0,X3),X1)
| ~ segmentP(X3,X2)
| ~ ssList(X3) ),
inference(duplicate_literal_removal,[],[f892]) ).
fof(f892,plain,
! [X2,X3,X0,X1] :
( ~ ssList(app(app(X0,X3),X1))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ segmentP(X3,X2)
| app(app(sK0(app(app(X0,X3),X1),X2),X2),sK1(app(app(X0,X3),X1),X2)) = app(app(X0,X3),X1)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(resolution,[],[f483,f343]) ).
fof(f2135,plain,
( ~ spl51_4
| ~ spl51_13
| spl51_169
| ~ spl51_8 ),
inference(avatar_split_clause,[],[f2126,f611,f2133,f637,f592]) ).
fof(f2133,plain,
( spl51_169
<=> ! [X6,X7] :
( ~ ssList(X6)
| app(X7,app(sK42,X6)) = sK43
| ~ ssList(app(X7,app(sK42,X6)))
| ~ ssList(X7)
| ~ segmentP(sK43,app(X7,app(sK42,X6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_169])]) ).
fof(f2126,plain,
( ! [X6,X7] :
( ~ ssList(X6)
| ~ ssList(X7)
| ~ segmentP(sK43,app(X7,app(sK42,X6)))
| ~ ssList(sK42)
| ~ ssList(app(X7,app(sK42,X6)))
| ~ ssList(sK43)
| app(X7,app(sK42,X6)) = sK43 )
| ~ spl51_8 ),
inference(resolution,[],[f900,f613]) ).
fof(f900,plain,
! [X10,X11,X9,X12] :
( ~ segmentP(X12,X11)
| ~ ssList(X10)
| ~ ssList(app(X9,app(X12,X10)))
| ~ segmentP(X11,app(X9,app(X12,X10)))
| ~ ssList(X11)
| ~ ssList(X9)
| app(X9,app(X12,X10)) = X11
| ~ ssList(X12) ),
inference(forward_subsumption_demodulation,[],[f899,f444]) ).
fof(f899,plain,
! [X10,X11,X9,X12] :
( ~ segmentP(X12,X11)
| ~ ssList(X9)
| app(X9,app(X12,X10)) = X11
| ~ segmentP(X11,app(X9,app(X12,X10)))
| ~ ssList(X11)
| ~ ssList(app(app(X9,X12),X10))
| ~ ssList(X12)
| ~ ssList(X10) ),
inference(forward_subsumption_demodulation,[],[f898,f444]) ).
fof(f898,plain,
! [X10,X11,X9,X12] :
( app(app(X9,X12),X10) = X11
| ~ ssList(X9)
| ~ segmentP(X11,app(X9,app(X12,X10)))
| ~ ssList(X10)
| ~ ssList(X12)
| ~ ssList(X11)
| ~ segmentP(X12,X11)
| ~ ssList(app(app(X9,X12),X10)) ),
inference(forward_subsumption_demodulation,[],[f897,f444]) ).
fof(f897,plain,
! [X10,X11,X9,X12] :
( ~ segmentP(X11,app(app(X9,X12),X10))
| app(app(X9,X12),X10) = X11
| ~ ssList(X10)
| ~ ssList(X11)
| ~ ssList(X9)
| ~ ssList(X12)
| ~ ssList(app(app(X9,X12),X10))
| ~ segmentP(X12,X11) ),
inference(duplicate_literal_removal,[],[f894]) ).
fof(f894,plain,
! [X10,X11,X9,X12] :
( ~ ssList(X11)
| app(app(X9,X12),X10) = X11
| ~ ssList(X10)
| ~ segmentP(X11,app(app(X9,X12),X10))
| ~ segmentP(X12,X11)
| ~ ssList(X12)
| ~ ssList(X9)
| ~ ssList(app(app(X9,X12),X10))
| ~ ssList(X11) ),
inference(resolution,[],[f483,f487]) ).
fof(f487,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| X0 = X1
| ~ segmentP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ~ segmentP(X1,X0)
| X0 = X1
| ~ segmentP(X0,X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f171]) ).
fof(f171,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( segmentP(X1,X0)
& segmentP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax54) ).
fof(f2109,plain,
( spl51_168
| ~ spl51_165
| ~ spl51_166 ),
inference(avatar_split_clause,[],[f2104,f2094,f2089,f2106]) ).
fof(f2106,plain,
( spl51_168
<=> app(sK0(sK42,sK43),sK43) = cons(sK27(app(sK0(sK42,sK43),sK43)),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_168])]) ).
fof(f2089,plain,
( spl51_165
<=> nil = sK26(app(sK0(sK42,sK43),sK43)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_165])]) ).
fof(f2094,plain,
( spl51_166
<=> app(sK0(sK42,sK43),sK43) = cons(sK27(app(sK0(sK42,sK43),sK43)),sK26(app(sK0(sK42,sK43),sK43))) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_166])]) ).
fof(f2104,plain,
( app(sK0(sK42,sK43),sK43) = cons(sK27(app(sK0(sK42,sK43),sK43)),nil)
| ~ spl51_165
| ~ spl51_166 ),
inference(backward_demodulation,[],[f2096,f2091]) ).
fof(f2091,plain,
( nil = sK26(app(sK0(sK42,sK43),sK43))
| ~ spl51_165 ),
inference(avatar_component_clause,[],[f2089]) ).
fof(f2096,plain,
( app(sK0(sK42,sK43),sK43) = cons(sK27(app(sK0(sK42,sK43),sK43)),sK26(app(sK0(sK42,sK43),sK43)))
| ~ spl51_166 ),
inference(avatar_component_clause,[],[f2094]) ).
fof(f2102,plain,
( spl51_167
| ~ spl51_68 ),
inference(avatar_split_clause,[],[f2058,f1043,f2099]) ).
fof(f2099,plain,
( spl51_167
<=> app(sK0(sK42,sK43),sK43) = app(nil,app(sK0(sK42,sK43),sK43)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_167])]) ).
fof(f2058,plain,
( app(sK0(sK42,sK43),sK43) = app(nil,app(sK0(sK42,sK43),sK43))
| ~ spl51_68 ),
inference(resolution,[],[f1044,f436]) ).
fof(f1044,plain,
( ssList(app(sK0(sK42,sK43),sK43))
| ~ spl51_68 ),
inference(avatar_component_clause,[],[f1043]) ).
fof(f2097,plain,
( spl51_166
| spl51_164
| ~ spl51_68 ),
inference(avatar_split_clause,[],[f2060,f1043,f2085,f2094]) ).
fof(f2085,plain,
( spl51_164
<=> nil = app(sK0(sK42,sK43),sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_164])]) ).
fof(f2060,plain,
( nil = app(sK0(sK42,sK43),sK43)
| app(sK0(sK42,sK43),sK43) = cons(sK27(app(sK0(sK42,sK43),sK43)),sK26(app(sK0(sK42,sK43),sK43)))
| ~ spl51_68 ),
inference(resolution,[],[f1044,f448]) ).
fof(f2092,plain,
( spl51_163
| spl51_164
| spl51_165
| ~ spl51_68 ),
inference(avatar_split_clause,[],[f2062,f1043,f2089,f2085,f2081]) ).
fof(f2081,plain,
( spl51_163
<=> cons(sK27(sK26(app(sK0(sK42,sK43),sK43))),sK26(sK26(app(sK0(sK42,sK43),sK43)))) = sK26(app(sK0(sK42,sK43),sK43)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_163])]) ).
fof(f2062,plain,
( nil = sK26(app(sK0(sK42,sK43),sK43))
| nil = app(sK0(sK42,sK43),sK43)
| cons(sK27(sK26(app(sK0(sK42,sK43),sK43))),sK26(sK26(app(sK0(sK42,sK43),sK43)))) = sK26(app(sK0(sK42,sK43),sK43))
| ~ spl51_68 ),
inference(resolution,[],[f1044,f773]) ).
fof(f2079,plain,
( spl51_162
| ~ spl51_42
| ~ spl51_68 ),
inference(avatar_split_clause,[],[f2064,f1043,f863,f2076]) ).
fof(f2076,plain,
( spl51_162
<=> app(app(sK0(app(sK0(sK42,sK43),sK43),nil),nil),sK1(app(sK0(sK42,sK43),sK43),nil)) = app(sK0(sK42,sK43),sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_162])]) ).
fof(f2064,plain,
( app(app(sK0(app(sK0(sK42,sK43),sK43),nil),nil),sK1(app(sK0(sK42,sK43),sK43),nil)) = app(sK0(sK42,sK43),sK43)
| ~ spl51_42
| ~ spl51_68 ),
inference(resolution,[],[f1044,f864]) ).
fof(f2074,plain,
( spl51_161
| ~ spl51_68 ),
inference(avatar_split_clause,[],[f2063,f1043,f2071]) ).
fof(f2071,plain,
( spl51_161
<=> app(app(sK0(app(sK0(sK42,sK43),sK43),app(sK0(sK42,sK43),sK43)),app(sK0(sK42,sK43),sK43)),sK1(app(sK0(sK42,sK43),sK43),app(sK0(sK42,sK43),sK43))) = app(sK0(sK42,sK43),sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_161])]) ).
fof(f2063,plain,
( app(app(sK0(app(sK0(sK42,sK43),sK43),app(sK0(sK42,sK43),sK43)),app(sK0(sK42,sK43),sK43)),sK1(app(sK0(sK42,sK43),sK43),app(sK0(sK42,sK43),sK43))) = app(sK0(sK42,sK43),sK43)
| ~ spl51_68 ),
inference(resolution,[],[f1044,f856]) ).
fof(f2069,plain,
( spl51_160
| ~ spl51_68 ),
inference(avatar_split_clause,[],[f2061,f1043,f2066]) ).
fof(f2066,plain,
( spl51_160
<=> app(app(sK0(sK42,sK43),sK43),nil) = app(sK0(sK42,sK43),sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_160])]) ).
fof(f2061,plain,
( app(app(sK0(sK42,sK43),sK43),nil) = app(sK0(sK42,sK43),sK43)
| ~ spl51_68 ),
inference(resolution,[],[f1044,f535]) ).
fof(f2057,plain,
( ~ spl51_57
| ~ spl51_13
| ~ spl51_56
| spl51_159
| ~ spl51_33 ),
inference(avatar_split_clause,[],[f2052,f782,f2055,f979,f637,f983]) ).
fof(f983,plain,
( spl51_57
<=> ssList(sK26(sK42)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_57])]) ).
fof(f979,plain,
( spl51_56
<=> ssItem(sK27(sK42)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_56])]) ).
fof(f2055,plain,
( spl51_159
<=> ! [X2] :
( ~ memberP(sK26(sK42),X2)
| ~ ssItem(X2)
| app(sK19(sK42,X2),cons(X2,sK20(sK42,X2))) = sK42 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_159])]) ).
fof(f782,plain,
( spl51_33
<=> cons(sK27(sK42),sK26(sK42)) = sK42 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_33])]) ).
fof(f2052,plain,
( ! [X2] :
( ~ memberP(sK26(sK42),X2)
| ~ ssItem(sK27(sK42))
| app(sK19(sK42,X2),cons(X2,sK20(sK42,X2))) = sK42
| ~ ssItem(X2)
| ~ ssList(sK42)
| ~ ssList(sK26(sK42)) )
| ~ spl51_33 ),
inference(superposition,[],[f870,f784]) ).
fof(f784,plain,
( cons(sK27(sK42),sK26(sK42)) = sK42
| ~ spl51_33 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f870,plain,
! [X2,X3,X4] :
( ~ ssList(cons(X3,X4))
| ~ ssItem(X3)
| ~ memberP(X4,X2)
| ~ ssItem(X2)
| ~ ssList(X4)
| cons(X3,X4) = app(sK19(cons(X3,X4),X2),cons(X2,sK20(cons(X3,X4),X2))) ),
inference(duplicate_literal_removal,[],[f867]) ).
fof(f867,plain,
! [X2,X3,X4] :
( cons(X3,X4) = app(sK19(cons(X3,X4),X2),cons(X2,sK20(cons(X3,X4),X2)))
| ~ ssItem(X2)
| ~ ssItem(X2)
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ memberP(X4,X2)
| ~ ssList(cons(X3,X4)) ),
inference(resolution,[],[f405,f413]) ).
fof(f413,plain,
! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| ~ ssItem(X0)
| ~ ssList(X2)
| ~ memberP(X2,X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f278]) ).
fof(f278,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ! [X2] :
( ( ( X0 = X1
| memberP(X2,X0)
| ~ memberP(cons(X1,X2),X0) )
& ( memberP(cons(X1,X2),X0)
| ( X0 != X1
& ~ memberP(X2,X0) ) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) ) ),
inference(flattening,[],[f277]) ).
fof(f277,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ! [X2] :
( ( ( X0 = X1
| memberP(X2,X0)
| ~ memberP(cons(X1,X2),X0) )
& ( memberP(cons(X1,X2),X0)
| ( X0 != X1
& ~ memberP(X2,X0) ) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) ) ),
inference(nnf_transformation,[],[f217]) ).
fof(f217,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ! [X2] :
( ( ( X0 = X1
| memberP(X2,X0) )
<=> memberP(cons(X1,X2),X0) )
| ~ ssList(X2) )
| ~ ssItem(X1) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( X0 = X1
| memberP(X2,X0) )
<=> memberP(cons(X1,X2),X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax37) ).
fof(f2048,plain,
( spl51_157
| spl51_133
| spl51_158
| ~ spl51_152 ),
inference(avatar_split_clause,[],[f2017,f1987,f2045,f1717,f2041]) ).
fof(f2041,plain,
( spl51_157
<=> nil = sK26(sK0(sK42,sK43)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_157])]) ).
fof(f1717,plain,
( spl51_133
<=> nil = sK0(sK42,sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_133])]) ).
fof(f2045,plain,
( spl51_158
<=> cons(sK27(sK26(sK0(sK42,sK43))),sK26(sK26(sK0(sK42,sK43)))) = sK26(sK0(sK42,sK43)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_158])]) ).
fof(f2017,plain,
( cons(sK27(sK26(sK0(sK42,sK43))),sK26(sK26(sK0(sK42,sK43)))) = sK26(sK0(sK42,sK43))
| nil = sK0(sK42,sK43)
| nil = sK26(sK0(sK42,sK43))
| ~ spl51_152 ),
inference(resolution,[],[f1988,f773]) ).
fof(f1988,plain,
( ssList(sK0(sK42,sK43))
| ~ spl51_152 ),
inference(avatar_component_clause,[],[f1987]) ).
fof(f2039,plain,
( spl51_156
| ~ spl51_152 ),
inference(avatar_split_clause,[],[f2016,f1987,f2036]) ).
fof(f2036,plain,
( spl51_156
<=> app(sK0(sK42,sK43),nil) = sK0(sK42,sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_156])]) ).
fof(f2016,plain,
( app(sK0(sK42,sK43),nil) = sK0(sK42,sK43)
| ~ spl51_152 ),
inference(resolution,[],[f1988,f535]) ).
fof(f2034,plain,
( spl51_155
| ~ spl51_152 ),
inference(avatar_split_clause,[],[f2018,f1987,f2031]) ).
fof(f2031,plain,
( spl51_155
<=> app(app(sK0(sK0(sK42,sK43),sK0(sK42,sK43)),sK0(sK42,sK43)),sK1(sK0(sK42,sK43),sK0(sK42,sK43))) = sK0(sK42,sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_155])]) ).
fof(f2018,plain,
( app(app(sK0(sK0(sK42,sK43),sK0(sK42,sK43)),sK0(sK42,sK43)),sK1(sK0(sK42,sK43),sK0(sK42,sK43))) = sK0(sK42,sK43)
| ~ spl51_152 ),
inference(resolution,[],[f1988,f856]) ).
fof(f2029,plain,
( spl51_154
| ~ spl51_152 ),
inference(avatar_split_clause,[],[f2013,f1987,f2026]) ).
fof(f2026,plain,
( spl51_154
<=> app(nil,sK0(sK42,sK43)) = sK0(sK42,sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_154])]) ).
fof(f2013,plain,
( app(nil,sK0(sK42,sK43)) = sK0(sK42,sK43)
| ~ spl51_152 ),
inference(resolution,[],[f1988,f436]) ).
fof(f2024,plain,
( spl51_153
| ~ spl51_42
| ~ spl51_152 ),
inference(avatar_split_clause,[],[f2019,f1987,f863,f2021]) ).
fof(f2021,plain,
( spl51_153
<=> sK0(sK42,sK43) = app(app(sK0(sK0(sK42,sK43),nil),nil),sK1(sK0(sK42,sK43),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_153])]) ).
fof(f2019,plain,
( sK0(sK42,sK43) = app(app(sK0(sK0(sK42,sK43),nil),nil),sK1(sK0(sK42,sK43),nil))
| ~ spl51_42
| ~ spl51_152 ),
inference(resolution,[],[f1988,f864]) ).
fof(f2012,plain,
( ~ spl51_67
| spl51_71
| ~ spl51_68
| ~ spl51_41 ),
inference(avatar_split_clause,[],[f1994,f858,f1043,f1056,f1039]) ).
fof(f1039,plain,
( spl51_67
<=> ssList(sK1(sK42,sK43)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_67])]) ).
fof(f1056,plain,
( spl51_71
<=> ! [X5] :
( ~ memberP(sK1(sK42,sK43),X5)
| memberP(sK42,X5)
| ~ ssItem(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_71])]) ).
fof(f858,plain,
( spl51_41
<=> sK42 = app(app(sK0(sK42,sK43),sK43),sK1(sK42,sK43)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_41])]) ).
fof(f1994,plain,
( ! [X2] :
( ~ ssList(app(sK0(sK42,sK43),sK43))
| ~ ssItem(X2)
| ~ ssList(sK1(sK42,sK43))
| memberP(sK42,X2)
| ~ memberP(sK1(sK42,sK43),X2) )
| ~ spl51_41 ),
inference(superposition,[],[f347,f860]) ).
fof(f860,plain,
( sK42 = app(app(sK0(sK42,sK43),sK43),sK1(sK42,sK43))
| ~ spl51_41 ),
inference(avatar_component_clause,[],[f858]) ).
fof(f2011,plain,
( ~ spl51_68
| ~ spl51_67
| spl51_151
| ~ spl51_41 ),
inference(avatar_split_clause,[],[f1373,f858,f1974,f1039,f1043]) ).
fof(f1974,plain,
( spl51_151
<=> ! [X0] :
( sK42 != app(app(sK0(sK42,sK43),sK43),X0)
| ~ ssList(X0)
| sK1(sK42,sK43) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_151])]) ).
fof(f1373,plain,
( ! [X5] :
( ~ ssList(X5)
| sK1(sK42,sK43) = X5
| sK42 != app(app(sK0(sK42,sK43),sK43),X5)
| ~ ssList(sK1(sK42,sK43))
| ~ ssList(app(sK0(sK42,sK43),sK43)) )
| ~ spl51_41 ),
inference(superposition,[],[f431,f860]) ).
fof(f2010,plain,
( spl51_151
| ~ spl51_67
| ~ spl51_68
| ~ spl51_41 ),
inference(avatar_split_clause,[],[f1999,f858,f1043,f1039,f1974]) ).
fof(f1999,plain,
( ! [X5] :
( ~ ssList(app(sK0(sK42,sK43),sK43))
| ~ ssList(sK1(sK42,sK43))
| sK1(sK42,sK43) = X5
| ~ ssList(X5)
| sK42 != app(app(sK0(sK42,sK43),sK43),X5) )
| ~ spl51_41 ),
inference(superposition,[],[f431,f860]) ).
fof(f2009,plain,
( ~ spl51_67
| spl51_72
| ~ spl51_68
| ~ spl51_41 ),
inference(avatar_split_clause,[],[f2002,f858,f1043,f1060,f1039]) ).
fof(f1060,plain,
( spl51_72
<=> ! [X2,X3] :
( ~ ssList(X2)
| segmentP(app(sK42,X2),X3)
| ~ segmentP(sK1(sK42,sK43),X3)
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_72])]) ).
fof(f2002,plain,
( ! [X8,X9] :
( ~ ssList(app(sK0(sK42,sK43),sK43))
| ~ ssList(X8)
| ~ ssList(X9)
| segmentP(app(sK42,X8),X9)
| ~ ssList(sK1(sK42,sK43))
| ~ segmentP(sK1(sK42,sK43),X9) )
| ~ spl51_41 ),
inference(superposition,[],[f483,f860]) ).
fof(f2008,plain,
( ~ spl51_68
| ~ spl51_67
| spl51_70
| ~ spl51_41 ),
inference(avatar_split_clause,[],[f1993,f858,f1052,f1039,f1043]) ).
fof(f1993,plain,
( ! [X1] :
( ~ memberP(app(sK0(sK42,sK43),sK43),X1)
| ~ ssList(sK1(sK42,sK43))
| ~ ssItem(X1)
| memberP(sK42,X1)
| ~ ssList(app(sK0(sK42,sK43),sK43)) )
| ~ spl51_41 ),
inference(superposition,[],[f346,f860]) ).
fof(f2007,plain,
( ~ spl51_67
| ~ spl51_68
| spl51_72
| ~ spl51_41 ),
inference(avatar_split_clause,[],[f1376,f858,f1060,f1043,f1039]) ).
fof(f1376,plain,
( ! [X8,X9] :
( ~ ssList(X9)
| ~ ssList(app(sK0(sK42,sK43),sK43))
| ~ ssList(sK1(sK42,sK43))
| ~ segmentP(sK1(sK42,sK43),X9)
| segmentP(app(sK42,X8),X9)
| ~ ssList(X8) )
| ~ spl51_41 ),
inference(superposition,[],[f483,f860]) ).
fof(f2006,plain,
( ~ spl51_8
| ~ spl51_4
| ~ spl51_13
| spl51_152 ),
inference(avatar_split_clause,[],[f2005,f1987,f637,f592,f611]) ).
fof(f2005,plain,
( ~ ssList(sK42)
| ~ ssList(sK43)
| ~ segmentP(sK42,sK43)
| spl51_152 ),
inference(resolution,[],[f1989,f341]) ).
fof(f341,plain,
! [X0,X1] :
( ssList(sK0(X0,X1))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f229]) ).
fof(f1989,plain,
( ~ ssList(sK0(sK42,sK43))
| spl51_152 ),
inference(avatar_component_clause,[],[f1987]) ).
fof(f1990,plain,
( ~ spl51_4
| ~ spl51_152
| spl51_68 ),
inference(avatar_split_clause,[],[f1985,f1043,f1987,f592]) ).
fof(f1985,plain,
( ~ ssList(sK0(sK42,sK43))
| ~ ssList(sK43)
| spl51_68 ),
inference(resolution,[],[f1045,f488]) ).
fof(f1045,plain,
( ~ ssList(app(sK0(sK42,sK43),sK43))
| spl51_68 ),
inference(avatar_component_clause,[],[f1043]) ).
fof(f1984,plain,
( ~ spl51_67
| ~ spl51_68
| spl51_66
| ~ spl51_41 ),
inference(avatar_split_clause,[],[f1369,f858,f1036,f1043,f1039]) ).
fof(f1036,plain,
( spl51_66
<=> ! [X4] :
( memberP(sK1(sK42,sK43),X4)
| memberP(app(sK0(sK42,sK43),sK43),X4)
| ~ ssItem(X4)
| ~ memberP(sK42,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_66])]) ).
fof(f1369,plain,
( ! [X3] :
( ~ ssItem(X3)
| memberP(app(sK0(sK42,sK43),sK43),X3)
| ~ memberP(sK42,X3)
| memberP(sK1(sK42,sK43),X3)
| ~ ssList(app(sK0(sK42,sK43),sK43))
| ~ ssList(sK1(sK42,sK43)) )
| ~ spl51_41 ),
inference(superposition,[],[f348,f860]) ).
fof(f1983,plain,
( ~ spl51_68
| ~ spl51_67
| spl51_150
| ~ spl51_41 ),
inference(avatar_split_clause,[],[f1374,f858,f1970,f1039,f1043]) ).
fof(f1970,plain,
( spl51_150
<=> ! [X7] :
( sK42 != app(X7,sK1(sK42,sK43))
| app(sK0(sK42,sK43),sK43) = X7
| ~ ssList(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_150])]) ).
fof(f1374,plain,
( ! [X6] :
( ~ ssList(X6)
| ~ ssList(sK1(sK42,sK43))
| app(sK0(sK42,sK43),sK43) = X6
| ~ ssList(app(sK0(sK42,sK43),sK43))
| sK42 != app(X6,sK1(sK42,sK43)) )
| ~ spl51_41 ),
inference(superposition,[],[f433,f860]) ).
fof(f1982,plain,
( ~ spl51_68
| ~ spl51_67
| spl51_151
| ~ spl51_41 ),
inference(avatar_split_clause,[],[f1372,f858,f1974,f1039,f1043]) ).
fof(f1372,plain,
( ! [X4] :
( sK1(sK42,sK43) = X4
| ~ ssList(X4)
| ~ ssList(sK1(sK42,sK43))
| ~ ssList(app(sK0(sK42,sK43),sK43))
| sK42 != app(app(sK0(sK42,sK43),sK43),X4) )
| ~ spl51_41 ),
inference(superposition,[],[f431,f860]) ).
fof(f1981,plain,
( spl51_70
| ~ spl51_67
| ~ spl51_68
| ~ spl51_41 ),
inference(avatar_split_clause,[],[f1367,f858,f1043,f1039,f1052]) ).
fof(f1367,plain,
( ! [X1] :
( ~ ssList(app(sK0(sK42,sK43),sK43))
| ~ ssList(sK1(sK42,sK43))
| ~ ssItem(X1)
| ~ memberP(app(sK0(sK42,sK43),sK43),X1)
| memberP(sK42,X1) )
| ~ spl51_41 ),
inference(superposition,[],[f346,f860]) ).
fof(f1980,plain,
( ~ spl51_68
| ~ spl51_67
| spl51_71
| ~ spl51_41 ),
inference(avatar_split_clause,[],[f1368,f858,f1056,f1039,f1043]) ).
fof(f1368,plain,
( ! [X2] :
( ~ ssItem(X2)
| ~ memberP(sK1(sK42,sK43),X2)
| memberP(sK42,X2)
| ~ ssList(sK1(sK42,sK43))
| ~ ssList(app(sK0(sK42,sK43),sK43)) )
| ~ spl51_41 ),
inference(superposition,[],[f347,f860]) ).
fof(f1979,plain,
( ~ spl51_67
| ~ spl51_68
| spl51_150
| ~ spl51_41 ),
inference(avatar_split_clause,[],[f1281,f858,f1970,f1043,f1039]) ).
fof(f1281,plain,
( ! [X0] :
( app(X0,sK1(sK42,sK43)) != sK42
| ~ ssList(app(sK0(sK42,sK43),sK43))
| ~ ssList(sK1(sK42,sK43))
| ~ ssList(X0)
| app(sK0(sK42,sK43),sK43) = X0 )
| ~ spl51_41 ),
inference(superposition,[],[f433,f860]) ).
fof(f1978,plain,
( ~ spl51_68
| ~ spl51_67
| spl51_151
| ~ spl51_41 ),
inference(avatar_split_clause,[],[f1278,f858,f1974,f1039,f1043]) ).
fof(f1278,plain,
( ! [X0] :
( sK42 != app(app(sK0(sK42,sK43),sK43),X0)
| ~ ssList(X0)
| sK1(sK42,sK43) = X0
| ~ ssList(sK1(sK42,sK43))
| ~ ssList(app(sK0(sK42,sK43),sK43)) )
| ~ spl51_41 ),
inference(superposition,[],[f431,f860]) ).
fof(f1977,plain,
( ~ spl51_67
| spl51_150
| ~ spl51_68
| ~ spl51_41 ),
inference(avatar_split_clause,[],[f1282,f858,f1043,f1970,f1039]) ).
fof(f1282,plain,
( ! [X0] :
( ~ ssList(app(sK0(sK42,sK43),sK43))
| app(X0,sK1(sK42,sK43)) != sK42
| app(sK0(sK42,sK43),sK43) = X0
| ~ ssList(sK1(sK42,sK43))
| ~ ssList(X0) )
| ~ spl51_41 ),
inference(superposition,[],[f433,f860]) ).
fof(f1976,plain,
( ~ spl51_68
| ~ spl51_67
| spl51_151
| ~ spl51_41 ),
inference(avatar_split_clause,[],[f1277,f858,f1974,f1039,f1043]) ).
fof(f1277,plain,
( ! [X0] :
( sK42 != app(app(sK0(sK42,sK43),sK43),X0)
| ~ ssList(sK1(sK42,sK43))
| ~ ssList(app(sK0(sK42,sK43),sK43))
| sK1(sK42,sK43) = X0
| ~ ssList(X0) )
| ~ spl51_41 ),
inference(superposition,[],[f431,f860]) ).
fof(f1972,plain,
( ~ spl51_68
| ~ spl51_67
| spl51_150
| ~ spl51_41 ),
inference(avatar_split_clause,[],[f1375,f858,f1970,f1039,f1043]) ).
fof(f1375,plain,
( ! [X7] :
( sK42 != app(X7,sK1(sK42,sK43))
| ~ ssList(X7)
| ~ ssList(sK1(sK42,sK43))
| ~ ssList(app(sK0(sK42,sK43),sK43))
| app(sK0(sK42,sK43),sK43) = X7 )
| ~ spl51_41 ),
inference(superposition,[],[f433,f860]) ).
fof(f1968,plain,
( ~ spl51_48
| spl51_123
| ~ spl51_52
| ~ spl51_70
| ~ spl51_73
| ~ spl51_133 ),
inference(avatar_split_clause,[],[f1966,f1717,f1073,f1052,f949,f1600,f932]) ).
fof(f1600,plain,
( spl51_123
<=> memberP(sK42,sK27(sK43)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_123])]) ).
fof(f1073,plain,
( spl51_73
<=> sK43 = app(nil,sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_73])]) ).
fof(f1966,plain,
( memberP(sK42,sK27(sK43))
| ~ ssItem(sK27(sK43))
| ~ spl51_52
| ~ spl51_70
| ~ spl51_73
| ~ spl51_133 ),
inference(resolution,[],[f1769,f951]) ).
fof(f1769,plain,
( ! [X6] :
( ~ memberP(sK43,X6)
| memberP(sK42,X6)
| ~ ssItem(X6) )
| ~ spl51_70
| ~ spl51_73
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1768,f1075]) ).
fof(f1075,plain,
( sK43 = app(nil,sK43)
| ~ spl51_73 ),
inference(avatar_component_clause,[],[f1073]) ).
fof(f1768,plain,
( ! [X6] :
( ~ ssItem(X6)
| ~ memberP(app(nil,sK43),X6)
| memberP(sK42,X6) )
| ~ spl51_70
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1053,f1719]) ).
fof(f1719,plain,
( nil = sK0(sK42,sK43)
| ~ spl51_133 ),
inference(avatar_component_clause,[],[f1717]) ).
fof(f1967,plain,
( ~ spl51_28
| spl51_35
| ~ spl51_29
| ~ spl51_70
| ~ spl51_73
| ~ spl51_133 ),
inference(avatar_split_clause,[],[f1965,f1717,f1073,f1052,f748,f805,f743]) ).
fof(f748,plain,
( spl51_29
<=> memberP(sK43,sK9(sK43)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_29])]) ).
fof(f1965,plain,
( memberP(sK42,sK9(sK43))
| ~ ssItem(sK9(sK43))
| ~ spl51_29
| ~ spl51_70
| ~ spl51_73
| ~ spl51_133 ),
inference(resolution,[],[f1769,f750]) ).
fof(f750,plain,
( memberP(sK43,sK9(sK43))
| ~ spl51_29 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f1964,plain,
( ~ spl51_57
| ~ spl51_1
| spl51_149
| ~ spl51_95 ),
inference(avatar_split_clause,[],[f1945,f1273,f1961,f577,f983]) ).
fof(f1961,plain,
( spl51_149
<=> ! [X6] :
( nil = X6
| ~ ssList(X6)
| app(X6,sK26(sK42)) != sK26(sK42) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_149])]) ).
fof(f1273,plain,
( spl51_95
<=> app(nil,sK26(sK42)) = sK26(sK42) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_95])]) ).
fof(f1945,plain,
( ! [X5] :
( ~ ssList(X5)
| ~ ssList(nil)
| ~ ssList(sK26(sK42))
| app(X5,sK26(sK42)) != sK26(sK42)
| nil = X5 )
| ~ spl51_95 ),
inference(superposition,[],[f433,f1275]) ).
fof(f1275,plain,
( app(nil,sK26(sK42)) = sK26(sK42)
| ~ spl51_95 ),
inference(avatar_component_clause,[],[f1273]) ).
fof(f1963,plain,
( ~ spl51_57
| ~ spl51_1
| spl51_149
| ~ spl51_95 ),
inference(avatar_split_clause,[],[f1946,f1273,f1961,f577,f983]) ).
fof(f1946,plain,
( ! [X6] :
( nil = X6
| ~ ssList(nil)
| app(X6,sK26(sK42)) != sK26(sK42)
| ~ ssList(X6)
| ~ ssList(sK26(sK42)) )
| ~ spl51_95 ),
inference(superposition,[],[f433,f1275]) ).
fof(f1959,plain,
( ~ spl51_57
| ~ spl51_1
| spl51_148
| ~ spl51_95 ),
inference(avatar_split_clause,[],[f1947,f1273,f1957,f577,f983]) ).
fof(f1957,plain,
( spl51_148
<=> ! [X8,X7] :
( segmentP(app(sK26(sK42),X7),X8)
| ~ ssList(X7)
| ~ ssList(X8)
| ~ segmentP(sK26(sK42),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_148])]) ).
fof(f1947,plain,
( ! [X8,X7] :
( segmentP(app(sK26(sK42),X7),X8)
| ~ segmentP(sK26(sK42),X8)
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssList(nil)
| ~ ssList(sK26(sK42)) )
| ~ spl51_95 ),
inference(superposition,[],[f483,f1275]) ).
fof(f1953,plain,
( ~ spl51_57
| ~ spl51_1
| spl51_147
| ~ spl51_95 ),
inference(avatar_split_clause,[],[f1949,f1273,f1951,f577,f983]) ).
fof(f1951,plain,
( spl51_147
<=> ! [X9] :
( ~ ssList(app(sK26(sK42),X9))
| ~ ssList(X9)
| segmentP(app(sK26(sK42),X9),sK26(sK42)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_147])]) ).
fof(f1949,plain,
( ! [X9] :
( ~ ssList(app(sK26(sK42),X9))
| ~ ssList(nil)
| segmentP(app(sK26(sK42),X9),sK26(sK42))
| ~ ssList(sK26(sK42))
| ~ ssList(X9) )
| ~ spl51_95 ),
inference(superposition,[],[f543,f1275]) ).
fof(f1937,plain,
( ~ spl51_4
| spl51_146
| ~ spl51_13
| ~ spl51_8 ),
inference(avatar_split_clause,[],[f1926,f611,f637,f1935,f592]) ).
fof(f1935,plain,
( spl51_146
<=> ! [X9,X8,X10] :
( segmentP(app(X8,app(X9,X10)),sK43)
| ~ ssList(app(X8,app(X9,X10)))
| ~ ssList(X8)
| ~ segmentP(X9,sK42)
| ~ ssList(X10)
| ~ ssList(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_146])]) ).
fof(f1926,plain,
( ! [X10,X8,X9] :
( ~ ssList(sK42)
| segmentP(app(X8,app(X9,X10)),sK43)
| ~ ssList(X9)
| ~ ssList(X10)
| ~ ssList(sK43)
| ~ segmentP(X9,sK42)
| ~ ssList(X8)
| ~ ssList(app(X8,app(X9,X10))) )
| ~ spl51_8 ),
inference(resolution,[],[f904,f613]) ).
fof(f904,plain,
! [X8,X6,X7,X4,X5] :
( ~ segmentP(X6,X8)
| ~ ssList(app(X4,app(X7,X5)))
| ~ segmentP(X7,X6)
| ~ ssList(X8)
| ~ ssList(X7)
| segmentP(app(X4,app(X7,X5)),X8)
| ~ ssList(X5)
| ~ ssList(X6)
| ~ ssList(X4) ),
inference(forward_subsumption_demodulation,[],[f903,f444]) ).
fof(f903,plain,
! [X8,X6,X7,X4,X5] :
( ~ segmentP(X6,X8)
| ~ ssList(X8)
| ~ ssList(X7)
| ~ segmentP(X7,X6)
| ~ ssList(X4)
| ~ ssList(app(app(X4,X7),X5))
| ~ ssList(X6)
| segmentP(app(X4,app(X7,X5)),X8)
| ~ ssList(X5) ),
inference(forward_subsumption_demodulation,[],[f895,f444]) ).
fof(f895,plain,
! [X8,X6,X7,X4,X5] :
( ~ ssList(X6)
| ~ segmentP(X6,X8)
| ~ ssList(X5)
| segmentP(app(app(X4,X7),X5),X8)
| ~ ssList(X4)
| ~ ssList(X8)
| ~ ssList(app(app(X4,X7),X5))
| ~ segmentP(X7,X6)
| ~ ssList(X7) ),
inference(duplicate_literal_removal,[],[f893]) ).
fof(f893,plain,
! [X8,X6,X7,X4,X5] :
( ~ ssList(X4)
| ~ ssList(app(app(X4,X7),X5))
| ~ segmentP(X6,X8)
| ~ ssList(X8)
| ~ segmentP(X7,X6)
| ~ ssList(X6)
| ~ ssList(X7)
| ~ ssList(X5)
| segmentP(app(app(X4,X7),X5),X8)
| ~ ssList(X6) ),
inference(resolution,[],[f483,f445]) ).
fof(f445,plain,
! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X0)
| segmentP(X0,X2)
| ~ segmentP(X1,X2)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ! [X2] :
( segmentP(X0,X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) ) ),
inference(flattening,[],[f203]) ).
fof(f203,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( segmentP(X0,X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( segmentP(X1,X2)
& segmentP(X0,X1) )
=> segmentP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax53) ).
fof(f1923,plain,
( ~ spl51_57
| ~ spl51_1
| spl51_144
| ~ spl51_94 ),
inference(avatar_split_clause,[],[f1906,f1268,f1914,f577,f983]) ).
fof(f1914,plain,
( spl51_144
<=> ! [X4] :
( ~ ssList(X4)
| nil = X4
| app(sK26(sK42),X4) != sK26(sK42) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_144])]) ).
fof(f1268,plain,
( spl51_94
<=> app(sK26(sK42),nil) = sK26(sK42) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_94])]) ).
fof(f1906,plain,
( ! [X3] :
( sK26(sK42) != app(sK26(sK42),X3)
| ~ ssList(nil)
| nil = X3
| ~ ssList(X3)
| ~ ssList(sK26(sK42)) )
| ~ spl51_94 ),
inference(superposition,[],[f431,f1270]) ).
fof(f1270,plain,
( app(sK26(sK42),nil) = sK26(sK42)
| ~ spl51_94 ),
inference(avatar_component_clause,[],[f1268]) ).
fof(f1920,plain,
( ~ spl51_57
| spl51_145
| ~ spl51_1
| ~ spl51_94 ),
inference(avatar_split_clause,[],[f1910,f1268,f577,f1918,f983]) ).
fof(f1918,plain,
( spl51_145
<=> ! [X7,X8] :
( ~ ssList(X7)
| ~ segmentP(nil,X8)
| ~ ssList(X8)
| segmentP(app(sK26(sK42),X7),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_145])]) ).
fof(f1910,plain,
( ! [X8,X7] :
( ~ ssList(nil)
| ~ ssList(X7)
| segmentP(app(sK26(sK42),X7),X8)
| ~ ssList(X8)
| ~ ssList(sK26(sK42))
| ~ segmentP(nil,X8) )
| ~ spl51_94 ),
inference(superposition,[],[f483,f1270]) ).
fof(f1916,plain,
( ~ spl51_1
| ~ spl51_57
| spl51_144
| ~ spl51_94 ),
inference(avatar_split_clause,[],[f1907,f1268,f1914,f983,f577]) ).
fof(f1907,plain,
( ! [X4] :
( ~ ssList(X4)
| ~ ssList(sK26(sK42))
| app(sK26(sK42),X4) != sK26(sK42)
| ~ ssList(nil)
| nil = X4 )
| ~ spl51_94 ),
inference(superposition,[],[f431,f1270]) ).
fof(f1878,plain,
( ~ spl51_1
| spl51_143 ),
inference(avatar_split_clause,[],[f1861,f1876,f577]) ).
fof(f1876,plain,
( spl51_143
<=> ! [X0] :
( sK1(X0,nil) = cons(sK27(sK1(X0,nil)),sK26(sK1(X0,nil)))
| nil = sK1(X0,nil)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_143])]) ).
fof(f1861,plain,
! [X0] :
( sK1(X0,nil) = cons(sK27(sK1(X0,nil)),sK26(sK1(X0,nil)))
| ~ ssList(X0)
| nil = sK1(X0,nil)
| ~ ssList(nil) ),
inference(duplicate_literal_removal,[],[f1855]) ).
fof(f1855,plain,
! [X0] :
( ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X0)
| sK1(X0,nil) = cons(sK27(sK1(X0,nil)),sK26(sK1(X0,nil)))
| nil = sK1(X0,nil) ),
inference(resolution,[],[f770,f382]) ).
fof(f382,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax57) ).
fof(f770,plain,
! [X4,X5] :
( ~ segmentP(X4,X5)
| ~ ssList(X5)
| nil = sK1(X4,X5)
| cons(sK27(sK1(X4,X5)),sK26(sK1(X4,X5))) = sK1(X4,X5)
| ~ ssList(X4) ),
inference(resolution,[],[f448,f342]) ).
fof(f1871,plain,
( ~ spl51_13
| spl51_141
| spl51_142
| ~ spl51_1
| ~ spl51_65 ),
inference(avatar_split_clause,[],[f1858,f1024,f577,f1868,f1864,f637]) ).
fof(f1864,plain,
( spl51_141
<=> nil = sK1(sK42,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_141])]) ).
fof(f1868,plain,
( spl51_142
<=> cons(sK27(sK1(sK42,nil)),sK26(sK1(sK42,nil))) = sK1(sK42,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_142])]) ).
fof(f1024,plain,
( spl51_65
<=> segmentP(sK42,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_65])]) ).
fof(f1858,plain,
( ~ ssList(nil)
| cons(sK27(sK1(sK42,nil)),sK26(sK1(sK42,nil))) = sK1(sK42,nil)
| nil = sK1(sK42,nil)
| ~ ssList(sK42)
| ~ spl51_65 ),
inference(resolution,[],[f770,f1026]) ).
fof(f1026,plain,
( segmentP(sK42,nil)
| ~ spl51_65 ),
inference(avatar_component_clause,[],[f1024]) ).
fof(f1852,plain,
( ~ spl51_1
| ~ spl51_13
| spl51_139
| ~ spl51_77 ),
inference(avatar_split_clause,[],[f1838,f1104,f1845,f637,f577]) ).
fof(f1845,plain,
( spl51_139
<=> ! [X3] :
( app(sK42,X3) != sK42
| nil = X3
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_139])]) ).
fof(f1104,plain,
( spl51_77
<=> sK42 = app(sK42,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_77])]) ).
fof(f1838,plain,
( ! [X4] :
( sK42 != app(sK42,X4)
| ~ ssList(sK42)
| ~ ssList(nil)
| ~ ssList(X4)
| nil = X4 )
| ~ spl51_77 ),
inference(superposition,[],[f431,f1106]) ).
fof(f1106,plain,
( sK42 = app(sK42,nil)
| ~ spl51_77 ),
inference(avatar_component_clause,[],[f1104]) ).
fof(f1851,plain,
( ~ spl51_1
| ~ spl51_13
| spl51_140
| ~ spl51_77 ),
inference(avatar_split_clause,[],[f1841,f1104,f1849,f637,f577]) ).
fof(f1849,plain,
( spl51_140
<=> ! [X7,X8] :
( ~ ssList(X7)
| segmentP(app(sK42,X7),X8)
| ~ segmentP(nil,X8)
| ~ ssList(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_140])]) ).
fof(f1841,plain,
( ! [X8,X7] :
( ~ ssList(X7)
| ~ ssList(sK42)
| ~ ssList(nil)
| ~ segmentP(nil,X8)
| ~ ssList(X8)
| segmentP(app(sK42,X7),X8) )
| ~ spl51_77 ),
inference(superposition,[],[f483,f1106]) ).
fof(f1847,plain,
( spl51_139
| ~ spl51_13
| ~ spl51_1
| ~ spl51_77 ),
inference(avatar_split_clause,[],[f1837,f1104,f577,f637,f1845]) ).
fof(f1837,plain,
( ! [X3] :
( ~ ssList(nil)
| ~ ssList(sK42)
| app(sK42,X3) != sK42
| ~ ssList(X3)
| nil = X3 )
| ~ spl51_77 ),
inference(superposition,[],[f431,f1106]) ).
fof(f1809,plain,
( ~ spl51_138
| ~ spl51_73
| spl51_105
| ~ spl51_133 ),
inference(avatar_split_clause,[],[f1804,f1717,f1358,f1073,f1806]) ).
fof(f1806,plain,
( spl51_138
<=> sK42 = app(sK43,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_138])]) ).
fof(f1358,plain,
( spl51_105
<=> app(app(sK0(sK42,sK43),sK43),nil) = sK42 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_105])]) ).
fof(f1804,plain,
( sK42 != app(sK43,nil)
| ~ spl51_73
| spl51_105
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1803,f1075]) ).
fof(f1803,plain,
( sK42 != app(app(nil,sK43),nil)
| spl51_105
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1359,f1719]) ).
fof(f1359,plain,
( app(app(sK0(sK42,sK43),sK43),nil) != sK42
| spl51_105 ),
inference(avatar_component_clause,[],[f1358]) ).
fof(f1800,plain,
( ~ spl51_4
| ~ spl51_67
| spl51_134
| ~ spl51_41
| ~ spl51_73
| ~ spl51_133 ),
inference(avatar_split_clause,[],[f1799,f1717,f1073,f858,f1730,f1039,f592]) ).
fof(f1730,plain,
( spl51_134
<=> ! [X0] :
( sK43 = X0
| ~ ssList(X0)
| app(X0,sK1(sK42,sK43)) != sK42 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_134])]) ).
fof(f1799,plain,
( ! [X0] :
( ~ ssList(X0)
| sK43 = X0
| ~ ssList(sK1(sK42,sK43))
| ~ ssList(sK43)
| app(X0,sK1(sK42,sK43)) != sK42 )
| ~ spl51_41
| ~ spl51_73
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1798,f1075]) ).
fof(f1798,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(app(nil,sK43))
| app(X0,sK1(sK42,sK43)) != sK42
| sK43 = X0
| ~ ssList(sK1(sK42,sK43)) )
| ~ spl51_41
| ~ spl51_73
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1797,f1719]) ).
fof(f1797,plain,
( ! [X0] :
( ~ ssList(X0)
| sK43 = X0
| app(X0,sK1(sK42,sK43)) != sK42
| ~ ssList(sK1(sK42,sK43))
| ~ ssList(app(sK0(sK42,sK43),sK43)) )
| ~ spl51_41
| ~ spl51_73
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1796,f1075]) ).
fof(f1796,plain,
( ! [X0] :
( app(nil,sK43) = X0
| ~ ssList(app(sK0(sK42,sK43),sK43))
| ~ ssList(X0)
| app(X0,sK1(sK42,sK43)) != sK42
| ~ ssList(sK1(sK42,sK43)) )
| ~ spl51_41
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1282,f1719]) ).
fof(f1792,plain,
( ~ spl51_4
| ~ spl51_67
| spl51_135
| ~ spl51_41
| ~ spl51_73
| ~ spl51_133 ),
inference(avatar_split_clause,[],[f1791,f1717,f1073,f858,f1743,f1039,f592]) ).
fof(f1743,plain,
( spl51_135
<=> ! [X5] :
( app(sK43,X5) != sK42
| sK1(sK42,sK43) = X5
| ~ ssList(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_135])]) ).
fof(f1791,plain,
( ! [X0] :
( ~ ssList(X0)
| sK42 != app(sK43,X0)
| sK1(sK42,sK43) = X0
| ~ ssList(sK1(sK42,sK43))
| ~ ssList(sK43) )
| ~ spl51_41
| ~ spl51_73
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1790,f1075]) ).
fof(f1790,plain,
( ! [X0] :
( ~ ssList(app(nil,sK43))
| ~ ssList(X0)
| sK42 != app(sK43,X0)
| sK1(sK42,sK43) = X0
| ~ ssList(sK1(sK42,sK43)) )
| ~ spl51_41
| ~ spl51_73
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1789,f1075]) ).
fof(f1789,plain,
( ! [X0] :
( sK42 != app(app(nil,sK43),X0)
| ~ ssList(sK1(sK42,sK43))
| ~ ssList(X0)
| ~ ssList(app(nil,sK43))
| sK1(sK42,sK43) = X0 )
| ~ spl51_41
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1788,f1719]) ).
fof(f1788,plain,
( ! [X0] :
( ~ ssList(app(sK0(sK42,sK43),sK43))
| sK42 != app(app(nil,sK43),X0)
| ~ ssList(sK1(sK42,sK43))
| ~ ssList(X0)
| sK1(sK42,sK43) = X0 )
| ~ spl51_41
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1277,f1719]) ).
fof(f1787,plain,
( ~ spl51_67
| ~ spl51_4
| spl51_135
| ~ spl51_41
| ~ spl51_73
| ~ spl51_133 ),
inference(avatar_split_clause,[],[f1786,f1717,f1073,f858,f1743,f592,f1039]) ).
fof(f1786,plain,
( ! [X4] :
( sK1(sK42,sK43) = X4
| ~ ssList(sK43)
| ~ ssList(sK1(sK42,sK43))
| ~ ssList(X4)
| app(sK43,X4) != sK42 )
| ~ spl51_41
| ~ spl51_73
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1785,f1075]) ).
fof(f1785,plain,
( ! [X4] :
( ~ ssList(sK1(sK42,sK43))
| sK1(sK42,sK43) = X4
| sK42 != app(app(nil,sK43),X4)
| ~ ssList(sK43)
| ~ ssList(X4) )
| ~ spl51_41
| ~ spl51_73
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1784,f1075]) ).
fof(f1784,plain,
( ! [X4] :
( ~ ssList(app(nil,sK43))
| ~ ssList(sK1(sK42,sK43))
| ~ ssList(X4)
| sK1(sK42,sK43) = X4
| sK42 != app(app(nil,sK43),X4) )
| ~ spl51_41
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1783,f1719]) ).
fof(f1783,plain,
( ! [X4] :
( sK1(sK42,sK43) = X4
| ~ ssList(X4)
| ~ ssList(sK1(sK42,sK43))
| sK42 != app(app(sK0(sK42,sK43),sK43),X4)
| ~ ssList(app(nil,sK43)) )
| ~ spl51_41
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1372,f1719]) ).
fof(f1779,plain,
( spl51_137
| ~ spl51_101
| ~ spl51_118 ),
inference(avatar_split_clause,[],[f1774,f1509,f1335,f1776]) ).
fof(f1776,plain,
( spl51_137
<=> sK1(sK42,sK43) = cons(sK27(sK1(sK42,sK43)),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_137])]) ).
fof(f1335,plain,
( spl51_101
<=> sK1(sK42,sK43) = cons(sK27(sK1(sK42,sK43)),sK26(sK1(sK42,sK43))) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_101])]) ).
fof(f1509,plain,
( spl51_118
<=> nil = sK26(sK1(sK42,sK43)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_118])]) ).
fof(f1774,plain,
( sK1(sK42,sK43) = cons(sK27(sK1(sK42,sK43)),nil)
| ~ spl51_101
| ~ spl51_118 ),
inference(forward_demodulation,[],[f1337,f1511]) ).
fof(f1511,plain,
( nil = sK26(sK1(sK42,sK43))
| ~ spl51_118 ),
inference(avatar_component_clause,[],[f1509]) ).
fof(f1337,plain,
( sK1(sK42,sK43) = cons(sK27(sK1(sK42,sK43)),sK26(sK1(sK42,sK43)))
| ~ spl51_101 ),
inference(avatar_component_clause,[],[f1335]) ).
fof(f1771,plain,
( ~ spl51_34
| ~ spl51_118
| spl51_119 ),
inference(avatar_split_clause,[],[f1770,f1513,f1509,f794]) ).
fof(f794,plain,
( spl51_34
<=> nil = cons(sK27(nil),sK26(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_34])]) ).
fof(f1513,plain,
( spl51_119
<=> cons(sK27(sK26(sK1(sK42,sK43))),sK26(sK26(sK1(sK42,sK43)))) = sK26(sK1(sK42,sK43)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_119])]) ).
fof(f1770,plain,
( nil != cons(sK27(nil),sK26(nil))
| ~ spl51_118
| spl51_119 ),
inference(forward_demodulation,[],[f1514,f1511]) ).
fof(f1514,plain,
( cons(sK27(sK26(sK1(sK42,sK43))),sK26(sK26(sK1(sK42,sK43)))) != sK26(sK1(sK42,sK43))
| spl51_119 ),
inference(avatar_component_clause,[],[f1513]) ).
fof(f1767,plain,
( ~ spl51_34
| spl51_78
| ~ spl51_79 ),
inference(avatar_split_clause,[],[f1766,f1125,f1121,f794]) ).
fof(f1121,plain,
( spl51_78
<=> sK26(sK43) = cons(sK27(sK26(sK43)),sK26(sK26(sK43))) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_78])]) ).
fof(f1125,plain,
( spl51_79
<=> nil = sK26(sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_79])]) ).
fof(f1766,plain,
( nil != cons(sK27(nil),sK26(nil))
| spl51_78
| ~ spl51_79 ),
inference(forward_demodulation,[],[f1122,f1127]) ).
fof(f1127,plain,
( nil = sK26(sK43)
| ~ spl51_79 ),
inference(avatar_component_clause,[],[f1125]) ).
fof(f1122,plain,
( sK26(sK43) != cons(sK27(sK26(sK43)),sK26(sK26(sK43)))
| spl51_78 ),
inference(avatar_component_clause,[],[f1121]) ).
fof(f1765,plain,
( ~ spl51_4
| spl51_71
| ~ spl51_67
| ~ spl51_41
| ~ spl51_73
| ~ spl51_133 ),
inference(avatar_split_clause,[],[f1764,f1717,f1073,f858,f1039,f1056,f592]) ).
fof(f1764,plain,
( ! [X2] :
( ~ ssList(sK1(sK42,sK43))
| ~ ssItem(X2)
| ~ memberP(sK1(sK42,sK43),X2)
| ~ ssList(sK43)
| memberP(sK42,X2) )
| ~ spl51_41
| ~ spl51_73
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1763,f1075]) ).
fof(f1763,plain,
( ! [X2] :
( ~ ssItem(X2)
| memberP(sK42,X2)
| ~ ssList(sK1(sK42,sK43))
| ~ memberP(sK1(sK42,sK43),X2)
| ~ ssList(app(nil,sK43)) )
| ~ spl51_41
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1368,f1719]) ).
fof(f1762,plain,
( spl51_136
| ~ spl51_41
| ~ spl51_73
| ~ spl51_133 ),
inference(avatar_split_clause,[],[f1757,f1717,f1073,f858,f1759]) ).
fof(f1759,plain,
( spl51_136
<=> sK42 = app(sK43,sK1(sK42,sK43)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_136])]) ).
fof(f1757,plain,
( sK42 = app(sK43,sK1(sK42,sK43))
| ~ spl51_41
| ~ spl51_73
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1756,f1075]) ).
fof(f1756,plain,
( sK42 = app(app(nil,sK43),sK1(sK42,sK43))
| ~ spl51_41
| ~ spl51_133 ),
inference(forward_demodulation,[],[f860,f1719]) ).
fof(f1755,plain,
( spl51_134
| ~ spl51_67
| ~ spl51_4
| ~ spl51_41
| ~ spl51_73
| ~ spl51_133 ),
inference(avatar_split_clause,[],[f1754,f1717,f1073,f858,f592,f1039,f1730]) ).
fof(f1754,plain,
( ! [X7] :
( ~ ssList(sK43)
| ~ ssList(sK1(sK42,sK43))
| ~ ssList(X7)
| sK43 = X7
| sK42 != app(X7,sK1(sK42,sK43)) )
| ~ spl51_41
| ~ spl51_73
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1753,f1075]) ).
fof(f1753,plain,
( ! [X7] :
( app(nil,sK43) = X7
| ~ ssList(X7)
| ~ ssList(sK1(sK42,sK43))
| sK42 != app(X7,sK1(sK42,sK43))
| ~ ssList(sK43) )
| ~ spl51_41
| ~ spl51_73
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1752,f1075]) ).
fof(f1752,plain,
( ! [X7] :
( ~ ssList(app(nil,sK43))
| sK42 != app(X7,sK1(sK42,sK43))
| ~ ssList(sK1(sK42,sK43))
| ~ ssList(X7)
| app(nil,sK43) = X7 )
| ~ spl51_41
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1751,f1719]) ).
fof(f1751,plain,
( ! [X7] :
( ~ ssList(sK1(sK42,sK43))
| sK42 != app(X7,sK1(sK42,sK43))
| ~ ssList(X7)
| app(sK0(sK42,sK43),sK43) = X7
| ~ ssList(app(nil,sK43)) )
| ~ spl51_41
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1375,f1719]) ).
fof(f1750,plain,
( ~ spl51_67
| ~ spl51_4
| spl51_135
| ~ spl51_41
| ~ spl51_73
| ~ spl51_133 ),
inference(avatar_split_clause,[],[f1749,f1717,f1073,f858,f1743,f592,f1039]) ).
fof(f1749,plain,
( ! [X0] :
( sK42 != app(sK43,X0)
| ~ ssList(sK43)
| ~ ssList(X0)
| ~ ssList(sK1(sK42,sK43))
| sK1(sK42,sK43) = X0 )
| ~ spl51_41
| ~ spl51_73
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1748,f1075]) ).
fof(f1748,plain,
( ! [X0] :
( ~ ssList(X0)
| sK1(sK42,sK43) = X0
| ~ ssList(app(nil,sK43))
| ~ ssList(sK1(sK42,sK43))
| sK42 != app(sK43,X0) )
| ~ spl51_41
| ~ spl51_73
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1747,f1719]) ).
fof(f1747,plain,
( ! [X0] :
( ~ ssList(sK1(sK42,sK43))
| ~ ssList(X0)
| sK42 != app(sK43,X0)
| ~ ssList(app(sK0(sK42,sK43),sK43))
| sK1(sK42,sK43) = X0 )
| ~ spl51_41
| ~ spl51_73
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1746,f1075]) ).
fof(f1746,plain,
( ! [X0] :
( sK42 != app(app(nil,sK43),X0)
| ~ ssList(X0)
| ~ ssList(app(sK0(sK42,sK43),sK43))
| sK1(sK42,sK43) = X0
| ~ ssList(sK1(sK42,sK43)) )
| ~ spl51_41
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1278,f1719]) ).
fof(f1745,plain,
( ~ spl51_4
| ~ spl51_67
| spl51_135
| ~ spl51_41
| ~ spl51_73
| ~ spl51_133 ),
inference(avatar_split_clause,[],[f1741,f1717,f1073,f858,f1743,f1039,f592]) ).
fof(f1741,plain,
( ! [X5] :
( app(sK43,X5) != sK42
| ~ ssList(X5)
| sK1(sK42,sK43) = X5
| ~ ssList(sK1(sK42,sK43))
| ~ ssList(sK43) )
| ~ spl51_41
| ~ spl51_73
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1740,f1075]) ).
fof(f1740,plain,
( ! [X5] :
( ~ ssList(sK43)
| ~ ssList(X5)
| sK42 != app(app(nil,sK43),X5)
| ~ ssList(sK1(sK42,sK43))
| sK1(sK42,sK43) = X5 )
| ~ spl51_41
| ~ spl51_73
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1739,f1719]) ).
fof(f1739,plain,
( ! [X5] :
( sK42 != app(app(sK0(sK42,sK43),sK43),X5)
| ~ ssList(X5)
| ~ ssList(sK1(sK42,sK43))
| ~ ssList(sK43)
| sK1(sK42,sK43) = X5 )
| ~ spl51_41
| ~ spl51_73
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1738,f1075]) ).
fof(f1738,plain,
( ! [X5] :
( ~ ssList(app(nil,sK43))
| ~ ssList(X5)
| sK1(sK42,sK43) = X5
| ~ ssList(sK1(sK42,sK43))
| sK42 != app(app(sK0(sK42,sK43),sK43),X5) )
| ~ spl51_41
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1373,f1719]) ).
fof(f1737,plain,
( ~ spl51_67
| spl51_134
| ~ spl51_4
| ~ spl51_41
| ~ spl51_73
| ~ spl51_133 ),
inference(avatar_split_clause,[],[f1736,f1717,f1073,f858,f592,f1730,f1039]) ).
fof(f1736,plain,
( ! [X6] :
( ~ ssList(sK43)
| sK42 != app(X6,sK1(sK42,sK43))
| sK43 = X6
| ~ ssList(sK1(sK42,sK43))
| ~ ssList(X6) )
| ~ spl51_41
| ~ spl51_73
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1735,f1075]) ).
fof(f1735,plain,
( ! [X6] :
( ~ ssList(X6)
| ~ ssList(sK1(sK42,sK43))
| sK42 != app(X6,sK1(sK42,sK43))
| app(nil,sK43) = X6
| ~ ssList(sK43) )
| ~ spl51_41
| ~ spl51_73
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1734,f1719]) ).
fof(f1734,plain,
( ! [X6] :
( ~ ssList(X6)
| app(sK0(sK42,sK43),sK43) = X6
| ~ ssList(sK1(sK42,sK43))
| ~ ssList(sK43)
| sK42 != app(X6,sK1(sK42,sK43)) )
| ~ spl51_41
| ~ spl51_73
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1733,f1075]) ).
fof(f1733,plain,
( ! [X6] :
( ~ ssList(X6)
| ~ ssList(sK1(sK42,sK43))
| sK42 != app(X6,sK1(sK42,sK43))
| ~ ssList(app(nil,sK43))
| app(sK0(sK42,sK43),sK43) = X6 )
| ~ spl51_41
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1374,f1719]) ).
fof(f1732,plain,
( ~ spl51_67
| ~ spl51_4
| spl51_134
| ~ spl51_41
| ~ spl51_73
| ~ spl51_133 ),
inference(avatar_split_clause,[],[f1728,f1717,f1073,f858,f1730,f592,f1039]) ).
fof(f1728,plain,
( ! [X0] :
( sK43 = X0
| ~ ssList(sK43)
| app(X0,sK1(sK42,sK43)) != sK42
| ~ ssList(sK1(sK42,sK43))
| ~ ssList(X0) )
| ~ spl51_41
| ~ spl51_73
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1727,f1075]) ).
fof(f1727,plain,
( ! [X0] :
( app(X0,sK1(sK42,sK43)) != sK42
| app(nil,sK43) = X0
| ~ ssList(X0)
| ~ ssList(sK1(sK42,sK43))
| ~ ssList(sK43) )
| ~ spl51_41
| ~ spl51_73
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1726,f1075]) ).
fof(f1726,plain,
( ! [X0] :
( ~ ssList(app(nil,sK43))
| ~ ssList(X0)
| app(X0,sK1(sK42,sK43)) != sK42
| ~ ssList(sK1(sK42,sK43))
| app(nil,sK43) = X0 )
| ~ spl51_41
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1725,f1719]) ).
fof(f1725,plain,
( ! [X0] :
( app(sK0(sK42,sK43),sK43) = X0
| ~ ssList(sK1(sK42,sK43))
| ~ ssList(X0)
| ~ ssList(app(nil,sK43))
| app(X0,sK1(sK42,sK43)) != sK42 )
| ~ spl51_41
| ~ spl51_133 ),
inference(forward_demodulation,[],[f1281,f1719]) ).
fof(f1724,plain,
( ~ spl51_34
| spl51_78
| ~ spl51_79 ),
inference(avatar_split_clause,[],[f1145,f1125,f1121,f794]) ).
fof(f1145,plain,
( nil != cons(sK27(nil),sK26(nil))
| spl51_78
| ~ spl51_79 ),
inference(backward_demodulation,[],[f1122,f1127]) ).
fof(f1723,plain,
( ~ spl51_34
| spl51_132
| ~ spl51_133 ),
inference(avatar_split_clause,[],[f1722,f1717,f1713,f794]) ).
fof(f1713,plain,
( spl51_132
<=> sK0(sK42,sK43) = cons(sK27(sK0(sK42,sK43)),sK26(sK0(sK42,sK43))) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_132])]) ).
fof(f1722,plain,
( nil != cons(sK27(nil),sK26(nil))
| spl51_132
| ~ spl51_133 ),
inference(backward_demodulation,[],[f1714,f1719]) ).
fof(f1714,plain,
( sK0(sK42,sK43) != cons(sK27(sK0(sK42,sK43)),sK26(sK0(sK42,sK43)))
| spl51_132 ),
inference(avatar_component_clause,[],[f1713]) ).
fof(f1721,plain,
( ~ spl51_67
| spl51_69
| ~ spl51_68
| ~ spl51_41 ),
inference(avatar_split_clause,[],[f1378,f858,f1043,f1048,f1039]) ).
fof(f1048,plain,
( spl51_69
<=> ! [X1] :
( ~ ssList(X1)
| ~ ssList(app(sK42,X1))
| segmentP(app(sK42,X1),sK1(sK42,sK43)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_69])]) ).
fof(f1378,plain,
( ! [X10] :
( ~ ssList(app(sK0(sK42,sK43),sK43))
| ~ ssList(app(sK42,X10))
| ~ ssList(sK1(sK42,sK43))
| segmentP(app(sK42,X10),sK1(sK42,sK43))
| ~ ssList(X10) )
| ~ spl51_41 ),
inference(superposition,[],[f543,f860]) ).
fof(f1720,plain,
( spl51_132
| ~ spl51_13
| ~ spl51_4
| spl51_133
| ~ spl51_8 ),
inference(avatar_split_clause,[],[f1690,f611,f1717,f592,f637,f1713]) ).
fof(f1690,plain,
( nil = sK0(sK42,sK43)
| ~ ssList(sK43)
| ~ ssList(sK42)
| sK0(sK42,sK43) = cons(sK27(sK0(sK42,sK43)),sK26(sK0(sK42,sK43)))
| ~ spl51_8 ),
inference(resolution,[],[f769,f613]) ).
fof(f769,plain,
! [X2,X3] :
( ~ segmentP(X2,X3)
| nil = sK0(X2,X3)
| ~ ssList(X3)
| cons(sK27(sK0(X2,X3)),sK26(sK0(X2,X3))) = sK0(X2,X3)
| ~ ssList(X2) ),
inference(resolution,[],[f448,f341]) ).
fof(f1711,plain,
( ~ spl51_1
| spl51_131 ),
inference(avatar_split_clause,[],[f1694,f1709,f577]) ).
fof(f1709,plain,
( spl51_131
<=> ! [X0] :
( ~ ssList(X0)
| nil = sK0(X0,nil)
| cons(sK27(sK0(X0,nil)),sK26(sK0(X0,nil))) = sK0(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_131])]) ).
fof(f1694,plain,
! [X0] :
( ~ ssList(X0)
| cons(sK27(sK0(X0,nil)),sK26(sK0(X0,nil))) = sK0(X0,nil)
| ~ ssList(nil)
| nil = sK0(X0,nil) ),
inference(duplicate_literal_removal,[],[f1688]) ).
fof(f1688,plain,
! [X0] :
( nil = sK0(X0,nil)
| ~ ssList(nil)
| cons(sK27(sK0(X0,nil)),sK26(sK0(X0,nil))) = sK0(X0,nil)
| ~ ssList(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f769,f382]) ).
fof(f1704,plain,
( ~ spl51_1
| spl51_129
| spl51_130
| ~ spl51_13
| ~ spl51_65 ),
inference(avatar_split_clause,[],[f1691,f1024,f637,f1701,f1697,f577]) ).
fof(f1697,plain,
( spl51_129
<=> nil = sK0(sK42,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_129])]) ).
fof(f1701,plain,
( spl51_130
<=> cons(sK27(sK0(sK42,nil)),sK26(sK0(sK42,nil))) = sK0(sK42,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_130])]) ).
fof(f1691,plain,
( ~ ssList(sK42)
| cons(sK27(sK0(sK42,nil)),sK26(sK0(sK42,nil))) = sK0(sK42,nil)
| nil = sK0(sK42,nil)
| ~ ssList(nil)
| ~ spl51_65 ),
inference(resolution,[],[f769,f1026]) ).
fof(f1659,plain,
( ~ spl51_124
| ~ spl51_125
| ~ spl51_34 ),
inference(avatar_split_clause,[],[f1634,f794,f1640,f1636]) ).
fof(f1636,plain,
( spl51_124
<=> ssItem(sK27(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_124])]) ).
fof(f1640,plain,
( spl51_125
<=> ssList(sK26(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_125])]) ).
fof(f1634,plain,
( ~ ssList(sK26(nil))
| ~ ssItem(sK27(nil))
| ~ spl51_34 ),
inference(trivial_inequality_removal,[],[f1623]) ).
fof(f1623,plain,
( ~ ssList(sK26(nil))
| nil != nil
| ~ ssItem(sK27(nil))
| ~ spl51_34 ),
inference(superposition,[],[f340,f795]) ).
fof(f795,plain,
( nil = cons(sK27(nil),sK26(nil))
| ~ spl51_34 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f340,plain,
! [X0,X1] :
( nil != cons(X1,X0)
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ! [X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> nil != cons(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
fof(f1658,plain,
( ~ spl51_124
| spl51_128
| ~ spl51_125
| ~ spl51_34 ),
inference(avatar_split_clause,[],[f1625,f794,f1640,f1656,f1636]) ).
fof(f1656,plain,
( spl51_128
<=> ! [X0] :
( ~ memberP(sK26(nil),X0)
| ~ ssItem(X0)
| memberP(nil,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_128])]) ).
fof(f1625,plain,
( ! [X0] :
( ~ ssList(sK26(nil))
| ~ memberP(sK26(nil),X0)
| memberP(nil,X0)
| ~ ssItem(X0)
| ~ ssItem(sK27(nil)) )
| ~ spl51_34 ),
inference(superposition,[],[f413,f795]) ).
fof(f1654,plain,
( ~ spl51_125
| ~ spl51_124
| spl51_127
| ~ spl51_34 ),
inference(avatar_split_clause,[],[f1650,f794,f1652,f1636,f1640]) ).
fof(f1652,plain,
( spl51_127
<=> ! [X10] :
( ~ ssList(X10)
| memberP(X10,sK27(nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_127])]) ).
fof(f1650,plain,
( ! [X10] :
( ~ ssList(X10)
| memberP(X10,sK27(nil))
| ~ ssItem(sK27(nil))
| ~ ssList(sK26(nil)) )
| ~ spl51_34 ),
inference(duplicate_literal_removal,[],[f1649]) ).
fof(f1649,plain,
( ! [X10] :
( ~ ssList(X10)
| ~ ssList(sK26(nil))
| ~ ssItem(sK27(nil))
| ~ ssList(X10)
| memberP(X10,sK27(nil)) )
| ~ spl51_34 ),
inference(forward_subsumption_demodulation,[],[f1648,f535]) ).
fof(f1648,plain,
( ! [X10] :
( ~ ssList(X10)
| ~ ssItem(sK27(nil))
| ~ ssList(app(X10,nil))
| ~ ssList(sK26(nil))
| memberP(X10,sK27(nil)) )
| ~ spl51_34 ),
inference(forward_subsumption_demodulation,[],[f1632,f535]) ).
fof(f1632,plain,
( ! [X10] :
( ~ ssList(X10)
| ~ ssList(sK26(nil))
| memberP(app(X10,nil),sK27(nil))
| ~ ssItem(sK27(nil))
| ~ ssList(app(X10,nil)) )
| ~ spl51_34 ),
inference(superposition,[],[f553,f795]) ).
fof(f553,plain,
! [X2,X3,X1] :
( ~ ssList(app(X2,cons(X1,X3)))
| memberP(app(X2,cons(X1,X3)),X1)
| ~ ssList(X3)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(equality_resolution,[],[f406]) ).
fof(f406,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| memberP(X0,X1)
| app(X2,cons(X1,X3)) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f274]) ).
fof(f1647,plain,
( ~ spl51_124
| ~ spl51_125
| spl51_126
| ~ spl51_34 ),
inference(avatar_split_clause,[],[f1633,f794,f1644,f1640,f1636]) ).
fof(f1644,plain,
( spl51_126
<=> memberP(nil,sK27(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_126])]) ).
fof(f1633,plain,
( memberP(nil,sK27(nil))
| ~ ssList(sK26(nil))
| ~ ssItem(sK27(nil))
| ~ spl51_34 ),
inference(superposition,[],[f572,f795]) ).
fof(f572,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(duplicate_literal_removal,[],[f555]) ).
fof(f555,plain,
! [X2,X1] :
( ~ ssItem(X1)
| memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f414]) ).
fof(f414,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| memberP(cons(X1,X2),X0)
| X0 != X1
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f278]) ).
fof(f1603,plain,
( ~ spl51_123
| ~ spl51_48
| ~ spl51_82 ),
inference(avatar_split_clause,[],[f1598,f1147,f932,f1600]) ).
fof(f1147,plain,
( spl51_82
<=> cons(sK27(sK43),nil) = sK43 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_82])]) ).
fof(f1598,plain,
( ~ ssItem(sK27(sK43))
| ~ memberP(sK42,sK27(sK43))
| ~ spl51_82 ),
inference(trivial_inequality_removal,[],[f1582]) ).
fof(f1582,plain,
( sK43 != sK43
| ~ memberP(sK42,sK27(sK43))
| ~ ssItem(sK27(sK43))
| ~ spl51_82 ),
inference(superposition,[],[f537,f1149]) ).
fof(f1149,plain,
( cons(sK27(sK43),nil) = sK43
| ~ spl51_82 ),
inference(avatar_component_clause,[],[f1147]) ).
fof(f537,plain,
! [X4] :
( cons(X4,nil) != sK43
| ~ ssItem(X4)
| ~ memberP(sK42,X4) ),
inference(definition_unfolding,[],[f516,f517]) ).
fof(f517,plain,
sK41 = sK43,
inference(cnf_transformation,[],[f325]) ).
fof(f325,plain,
( ssList(sK41)
& ssList(sK43)
& sK41 = sK43
& ! [X4] :
( ~ ssItem(X4)
| ~ memberP(sK42,X4)
| cons(X4,nil) != sK41 )
& ssList(sK44)
& sK44 = sK42
& ( nil != sK42
| nil != sK41 )
& segmentP(sK44,sK43)
& ( ~ neq(sK44,nil)
| singletonP(sK43) )
& ssList(sK42) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK41,sK42,sK43,sK44])],[f124,f324,f323,f322,f321]) ).
fof(f321,plain,
( ? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( X0 = X2
& ! [X4] :
( ~ ssItem(X4)
| ~ memberP(X1,X4)
| cons(X4,nil) != X0 )
& ssList(X3)
& X1 = X3
& ( nil != X1
| nil != X0 )
& segmentP(X3,X2)
& ( ~ neq(X3,nil)
| singletonP(X2) ) ) )
& ssList(X1) ) )
=> ( ssList(sK41)
& ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( sK41 = X2
& ! [X4] :
( ~ ssItem(X4)
| ~ memberP(X1,X4)
| cons(X4,nil) != sK41 )
& ssList(X3)
& X1 = X3
& ( nil != X1
| nil != sK41 )
& segmentP(X3,X2)
& ( ~ neq(X3,nil)
| singletonP(X2) ) ) )
& ssList(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f322,plain,
( ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( sK41 = X2
& ! [X4] :
( ~ ssItem(X4)
| ~ memberP(X1,X4)
| cons(X4,nil) != sK41 )
& ssList(X3)
& X1 = X3
& ( nil != X1
| nil != sK41 )
& segmentP(X3,X2)
& ( ~ neq(X3,nil)
| singletonP(X2) ) ) )
& ssList(X1) )
=> ( ? [X2] :
( ssList(X2)
& ? [X3] :
( sK41 = X2
& ! [X4] :
( ~ ssItem(X4)
| ~ memberP(sK42,X4)
| cons(X4,nil) != sK41 )
& ssList(X3)
& sK42 = X3
& ( nil != sK42
| nil != sK41 )
& segmentP(X3,X2)
& ( ~ neq(X3,nil)
| singletonP(X2) ) ) )
& ssList(sK42) ) ),
introduced(choice_axiom,[]) ).
fof(f323,plain,
( ? [X2] :
( ssList(X2)
& ? [X3] :
( sK41 = X2
& ! [X4] :
( ~ ssItem(X4)
| ~ memberP(sK42,X4)
| cons(X4,nil) != sK41 )
& ssList(X3)
& sK42 = X3
& ( nil != sK42
| nil != sK41 )
& segmentP(X3,X2)
& ( ~ neq(X3,nil)
| singletonP(X2) ) ) )
=> ( ssList(sK43)
& ? [X3] :
( sK41 = sK43
& ! [X4] :
( ~ ssItem(X4)
| ~ memberP(sK42,X4)
| cons(X4,nil) != sK41 )
& ssList(X3)
& sK42 = X3
& ( nil != sK42
| nil != sK41 )
& segmentP(X3,sK43)
& ( ~ neq(X3,nil)
| singletonP(sK43) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f324,plain,
( ? [X3] :
( sK41 = sK43
& ! [X4] :
( ~ ssItem(X4)
| ~ memberP(sK42,X4)
| cons(X4,nil) != sK41 )
& ssList(X3)
& sK42 = X3
& ( nil != sK42
| nil != sK41 )
& segmentP(X3,sK43)
& ( ~ neq(X3,nil)
| singletonP(sK43) ) )
=> ( sK41 = sK43
& ! [X4] :
( ~ ssItem(X4)
| ~ memberP(sK42,X4)
| cons(X4,nil) != sK41 )
& ssList(sK44)
& sK44 = sK42
& ( nil != sK42
| nil != sK41 )
& segmentP(sK44,sK43)
& ( ~ neq(sK44,nil)
| singletonP(sK43) ) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( X0 = X2
& ! [X4] :
( ~ ssItem(X4)
| ~ memberP(X1,X4)
| cons(X4,nil) != X0 )
& ssList(X3)
& X1 = X3
& ( nil != X1
| nil != X0 )
& segmentP(X3,X2)
& ( ~ neq(X3,nil)
| singletonP(X2) ) ) )
& ssList(X1) ) ),
inference(flattening,[],[f123]) ).
fof(f123,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X0 = X2
& ( nil != X1
| nil != X0 )
& ! [X4] :
( ~ ssItem(X4)
| ~ memberP(X1,X4)
| cons(X4,nil) != X0 )
& X1 = X3
& ( ~ neq(X3,nil)
| singletonP(X2) )
& segmentP(X3,X2)
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X0 != X2
| ( nil = X1
& nil = X0 )
| ? [X4] :
( memberP(X1,X4)
& cons(X4,nil) = X0
& ssItem(X4) )
| X1 != X3
| ( ~ singletonP(X2)
& neq(X3,nil) )
| ~ segmentP(X3,X2) ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X0 != X2
| ( nil = X1
& nil = X0 )
| ? [X4] :
( memberP(X1,X4)
& cons(X4,nil) = X0
& ssItem(X4) )
| X1 != X3
| ( ~ singletonP(X2)
& neq(X3,nil) )
| ~ segmentP(X3,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f516,plain,
! [X4] :
( ~ ssItem(X4)
| ~ memberP(sK42,X4)
| cons(X4,nil) != sK41 ),
inference(cnf_transformation,[],[f325]) ).
fof(f1579,plain,
( ~ spl51_121
| ~ spl51_102
| spl51_118 ),
inference(avatar_split_clause,[],[f1576,f1509,f1339,f1541]) ).
fof(f1541,plain,
( spl51_121
<=> nil = sK26(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_121])]) ).
fof(f1339,plain,
( spl51_102
<=> nil = sK1(sK42,sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_102])]) ).
fof(f1576,plain,
( nil != sK26(nil)
| ~ spl51_102
| spl51_118 ),
inference(backward_demodulation,[],[f1510,f1341]) ).
fof(f1341,plain,
( nil = sK1(sK42,sK43)
| ~ spl51_102 ),
inference(avatar_component_clause,[],[f1339]) ).
fof(f1510,plain,
( nil != sK26(sK1(sK42,sK43))
| spl51_118 ),
inference(avatar_component_clause,[],[f1509]) ).
fof(f1578,plain,
( ~ spl51_120
| ~ spl51_102
| spl51_119 ),
inference(avatar_split_clause,[],[f1577,f1513,f1339,f1533]) ).
fof(f1533,plain,
( spl51_120
<=> sK26(nil) = cons(sK27(sK26(nil)),sK26(sK26(nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_120])]) ).
fof(f1577,plain,
( sK26(nil) != cons(sK27(sK26(nil)),sK26(sK26(nil)))
| ~ spl51_102
| spl51_119 ),
inference(backward_demodulation,[],[f1514,f1341]) ).
fof(f1567,plain,
( ~ spl51_120
| ~ spl51_90
| spl51_115 ),
inference(avatar_split_clause,[],[f1566,f1495,f1249,f1533]) ).
fof(f1249,plain,
( spl51_90
<=> nil = sK26(sK42) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_90])]) ).
fof(f1495,plain,
( spl51_115
<=> sK26(sK26(sK42)) = cons(sK27(sK26(sK26(sK42))),sK26(sK26(sK26(sK42)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_115])]) ).
fof(f1566,plain,
( sK26(nil) != cons(sK27(sK26(nil)),sK26(sK26(nil)))
| ~ spl51_90
| spl51_115 ),
inference(forward_demodulation,[],[f1496,f1251]) ).
fof(f1251,plain,
( nil = sK26(sK42)
| ~ spl51_90 ),
inference(avatar_component_clause,[],[f1249]) ).
fof(f1496,plain,
( sK26(sK26(sK42)) != cons(sK27(sK26(sK26(sK42))),sK26(sK26(sK26(sK42))))
| spl51_115 ),
inference(avatar_component_clause,[],[f1495]) ).
fof(f1565,plain,
( spl51_34
| ~ spl51_90
| ~ spl51_91 ),
inference(avatar_split_clause,[],[f1551,f1253,f1249,f794]) ).
fof(f1253,plain,
( spl51_91
<=> sK26(sK42) = cons(sK27(sK26(sK42)),sK26(sK26(sK42))) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_91])]) ).
fof(f1551,plain,
( nil = cons(sK27(nil),sK26(nil))
| ~ spl51_90
| ~ spl51_91 ),
inference(backward_demodulation,[],[f1255,f1251]) ).
fof(f1255,plain,
( sK26(sK42) = cons(sK27(sK26(sK42)),sK26(sK26(sK42)))
| ~ spl51_91 ),
inference(avatar_component_clause,[],[f1253]) ).
fof(f1564,plain,
( spl51_122
| ~ spl51_33
| ~ spl51_90 ),
inference(avatar_split_clause,[],[f1545,f1249,f782,f1561]) ).
fof(f1561,plain,
( spl51_122
<=> sK42 = cons(sK27(sK42),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_122])]) ).
fof(f1545,plain,
( sK42 = cons(sK27(sK42),nil)
| ~ spl51_33
| ~ spl51_90 ),
inference(backward_demodulation,[],[f784,f1251]) ).
fof(f1559,plain,
( ~ spl51_121
| ~ spl51_90
| spl51_114 ),
inference(avatar_split_clause,[],[f1557,f1491,f1249,f1541]) ).
fof(f1491,plain,
( spl51_114
<=> nil = sK26(sK26(sK42)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_114])]) ).
fof(f1557,plain,
( nil != sK26(nil)
| ~ spl51_90
| spl51_114 ),
inference(backward_demodulation,[],[f1492,f1251]) ).
fof(f1492,plain,
( nil != sK26(sK26(sK42))
| spl51_114 ),
inference(avatar_component_clause,[],[f1491]) ).
fof(f1544,plain,
( ~ spl51_121
| ~ spl51_79
| spl51_116 ),
inference(avatar_split_clause,[],[f1539,f1500,f1125,f1541]) ).
fof(f1500,plain,
( spl51_116
<=> nil = sK26(sK26(sK43)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_116])]) ).
fof(f1539,plain,
( nil != sK26(nil)
| ~ spl51_79
| spl51_116 ),
inference(forward_demodulation,[],[f1501,f1127]) ).
fof(f1501,plain,
( nil != sK26(sK26(sK43))
| spl51_116 ),
inference(avatar_component_clause,[],[f1500]) ).
fof(f1537,plain,
( spl51_34
| ~ spl51_78
| ~ spl51_79 ),
inference(avatar_split_clause,[],[f1525,f1125,f1121,f794]) ).
fof(f1525,plain,
( nil = cons(sK27(nil),sK26(nil))
| ~ spl51_78
| ~ spl51_79 ),
inference(backward_demodulation,[],[f1123,f1127]) ).
fof(f1123,plain,
( sK26(sK43) = cons(sK27(sK26(sK43)),sK26(sK26(sK43)))
| ~ spl51_78 ),
inference(avatar_component_clause,[],[f1121]) ).
fof(f1536,plain,
( ~ spl51_120
| ~ spl51_79
| spl51_117 ),
inference(avatar_split_clause,[],[f1531,f1504,f1125,f1533]) ).
fof(f1504,plain,
( spl51_117
<=> cons(sK27(sK26(sK26(sK43))),sK26(sK26(sK26(sK43)))) = sK26(sK26(sK43)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_117])]) ).
fof(f1531,plain,
( sK26(nil) != cons(sK27(sK26(nil)),sK26(sK26(nil)))
| ~ spl51_79
| spl51_117 ),
inference(backward_demodulation,[],[f1505,f1127]) ).
fof(f1505,plain,
( cons(sK27(sK26(sK26(sK43))),sK26(sK26(sK26(sK43)))) != sK26(sK26(sK43))
| spl51_117 ),
inference(avatar_component_clause,[],[f1504]) ).
fof(f1518,plain,
( spl51_105
| ~ spl51_41
| ~ spl51_102 ),
inference(avatar_split_clause,[],[f1356,f1339,f858,f1358]) ).
fof(f1356,plain,
( app(app(sK0(sK42,sK43),sK43),nil) = sK42
| ~ spl51_41
| ~ spl51_102 ),
inference(backward_demodulation,[],[f860,f1341]) ).
fof(f1516,plain,
( spl51_118
| spl51_102
| spl51_119
| ~ spl51_67 ),
inference(avatar_split_clause,[],[f1482,f1039,f1513,f1339,f1509]) ).
fof(f1482,plain,
( cons(sK27(sK26(sK1(sK42,sK43))),sK26(sK26(sK1(sK42,sK43)))) = sK26(sK1(sK42,sK43))
| nil = sK1(sK42,sK43)
| nil = sK26(sK1(sK42,sK43))
| ~ spl51_67 ),
inference(resolution,[],[f773,f1040]) ).
fof(f1040,plain,
( ssList(sK1(sK42,sK43))
| ~ spl51_67 ),
inference(avatar_component_clause,[],[f1039]) ).
fof(f1507,plain,
( spl51_116
| spl51_79
| spl51_117
| ~ spl51_49 ),
inference(avatar_split_clause,[],[f1486,f936,f1504,f1125,f1500]) ).
fof(f936,plain,
( spl51_49
<=> ssList(sK26(sK43)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_49])]) ).
fof(f1486,plain,
( cons(sK27(sK26(sK26(sK43))),sK26(sK26(sK26(sK43)))) = sK26(sK26(sK43))
| nil = sK26(sK43)
| nil = sK26(sK26(sK43))
| ~ spl51_49 ),
inference(resolution,[],[f773,f937]) ).
fof(f937,plain,
( ssList(sK26(sK43))
| ~ spl51_49 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f1498,plain,
( spl51_90
| spl51_114
| spl51_115
| ~ spl51_57 ),
inference(avatar_split_clause,[],[f1487,f983,f1495,f1491,f1249]) ).
fof(f1487,plain,
( sK26(sK26(sK42)) = cons(sK27(sK26(sK26(sK42))),sK26(sK26(sK26(sK42))))
| nil = sK26(sK26(sK42))
| nil = sK26(sK42)
| ~ spl51_57 ),
inference(resolution,[],[f773,f984]) ).
fof(f984,plain,
( ssList(sK26(sK42))
| ~ spl51_57 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f1475,plain,
( spl51_113
| ~ spl51_1
| ~ spl51_4
| ~ spl51_76 ),
inference(avatar_split_clause,[],[f1463,f1099,f592,f577,f1473]) ).
fof(f1473,plain,
( spl51_113
<=> ! [X8,X7] :
( ~ segmentP(nil,X8)
| ~ ssList(X8)
| ~ ssList(X7)
| segmentP(app(sK43,X7),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_113])]) ).
fof(f1099,plain,
( spl51_76
<=> sK43 = app(sK43,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_76])]) ).
fof(f1463,plain,
( ! [X8,X7] :
( ~ ssList(sK43)
| ~ ssList(nil)
| ~ segmentP(nil,X8)
| segmentP(app(sK43,X7),X8)
| ~ ssList(X7)
| ~ ssList(X8) )
| ~ spl51_76 ),
inference(superposition,[],[f483,f1101]) ).
fof(f1101,plain,
( sK43 = app(sK43,nil)
| ~ spl51_76 ),
inference(avatar_component_clause,[],[f1099]) ).
fof(f1471,plain,
( ~ spl51_4
| ~ spl51_1
| spl51_112
| ~ spl51_76 ),
inference(avatar_split_clause,[],[f1459,f1099,f1467,f577,f592]) ).
fof(f1467,plain,
( spl51_112
<=> ! [X4] :
( nil = X4
| ~ ssList(X4)
| app(sK43,X4) != sK43 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_112])]) ).
fof(f1459,plain,
( ! [X3] :
( ~ ssList(X3)
| ~ ssList(nil)
| sK43 != app(sK43,X3)
| ~ ssList(sK43)
| nil = X3 )
| ~ spl51_76 ),
inference(superposition,[],[f431,f1101]) ).
fof(f1469,plain,
( ~ spl51_1
| ~ spl51_4
| spl51_112
| ~ spl51_76 ),
inference(avatar_split_clause,[],[f1460,f1099,f1467,f592,f577]) ).
fof(f1460,plain,
( ! [X4] :
( nil = X4
| ~ ssList(sK43)
| app(sK43,X4) != sK43
| ~ ssList(nil)
| ~ ssList(X4) )
| ~ spl51_76 ),
inference(superposition,[],[f431,f1101]) ).
fof(f1452,plain,
( ~ spl51_1
| ~ spl51_13
| spl51_111
| ~ spl51_74 ),
inference(avatar_split_clause,[],[f1438,f1078,f1450,f637,f577]) ).
fof(f1450,plain,
( spl51_111
<=> ! [X9] :
( ~ ssList(app(sK42,X9))
| segmentP(app(sK42,X9),sK42)
| ~ ssList(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_111])]) ).
fof(f1078,plain,
( spl51_74
<=> app(nil,sK42) = sK42 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_74])]) ).
fof(f1438,plain,
( ! [X9] :
( ~ ssList(app(sK42,X9))
| ~ ssList(X9)
| segmentP(app(sK42,X9),sK42)
| ~ ssList(sK42)
| ~ ssList(nil) )
| ~ spl51_74 ),
inference(superposition,[],[f543,f1080]) ).
fof(f1080,plain,
( app(nil,sK42) = sK42
| ~ spl51_74 ),
inference(avatar_component_clause,[],[f1078]) ).
fof(f1448,plain,
( ~ spl51_1
| ~ spl51_13
| spl51_110
| ~ spl51_74 ),
inference(avatar_split_clause,[],[f1435,f1078,f1444,f637,f577]) ).
fof(f1444,plain,
( spl51_110
<=> ! [X5] :
( app(X5,sK42) != sK42
| ~ ssList(X5)
| nil = X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_110])]) ).
fof(f1435,plain,
( ! [X6] :
( nil = X6
| app(X6,sK42) != sK42
| ~ ssList(X6)
| ~ ssList(sK42)
| ~ ssList(nil) )
| ~ spl51_74 ),
inference(superposition,[],[f433,f1080]) ).
fof(f1446,plain,
( ~ spl51_1
| spl51_110
| ~ spl51_13
| ~ spl51_74 ),
inference(avatar_split_clause,[],[f1434,f1078,f637,f1444,f577]) ).
fof(f1434,plain,
( ! [X5] :
( ~ ssList(sK42)
| app(X5,sK42) != sK42
| ~ ssList(nil)
| nil = X5
| ~ ssList(X5) )
| ~ spl51_74 ),
inference(superposition,[],[f433,f1080]) ).
fof(f1442,plain,
( ~ spl51_1
| spl51_109
| ~ spl51_13
| ~ spl51_74 ),
inference(avatar_split_clause,[],[f1436,f1078,f637,f1440,f577]) ).
fof(f1440,plain,
( spl51_109
<=> ! [X8,X7] :
( ~ segmentP(sK42,X8)
| ~ ssList(X8)
| ~ ssList(X7)
| segmentP(app(sK42,X7),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_109])]) ).
fof(f1436,plain,
( ! [X8,X7] :
( ~ ssList(sK42)
| ~ segmentP(sK42,X8)
| ~ ssList(nil)
| segmentP(app(sK42,X7),X8)
| ~ ssList(X7)
| ~ ssList(X8) )
| ~ spl51_74 ),
inference(superposition,[],[f483,f1080]) ).
fof(f1424,plain,
( ~ spl51_1
| spl51_108
| ~ spl51_4
| ~ spl51_73 ),
inference(avatar_split_clause,[],[f1408,f1073,f592,f1421,f577]) ).
fof(f1421,plain,
( spl51_108
<=> ! [X5] :
( app(X5,sK43) != sK43
| nil = X5
| ~ ssList(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_108])]) ).
fof(f1408,plain,
( ! [X6] :
( ~ ssList(sK43)
| app(X6,sK43) != sK43
| ~ ssList(nil)
| ~ ssList(X6)
| nil = X6 )
| ~ spl51_73 ),
inference(superposition,[],[f433,f1075]) ).
fof(f1423,plain,
( ~ spl51_4
| ~ spl51_1
| spl51_108
| ~ spl51_73 ),
inference(avatar_split_clause,[],[f1407,f1073,f1421,f577,f592]) ).
fof(f1407,plain,
( ! [X5] :
( app(X5,sK43) != sK43
| ~ ssList(X5)
| nil = X5
| ~ ssList(nil)
| ~ ssList(sK43) )
| ~ spl51_73 ),
inference(superposition,[],[f433,f1075]) ).
fof(f1419,plain,
( ~ spl51_4
| ~ spl51_1
| spl51_107
| ~ spl51_73 ),
inference(avatar_split_clause,[],[f1409,f1073,f1417,f577,f592]) ).
fof(f1417,plain,
( spl51_107
<=> ! [X8,X7] :
( ~ segmentP(sK43,X8)
| ~ ssList(X7)
| segmentP(app(sK43,X7),X8)
| ~ ssList(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_107])]) ).
fof(f1409,plain,
( ! [X8,X7] :
( ~ segmentP(sK43,X8)
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssList(nil)
| ~ ssList(sK43)
| segmentP(app(sK43,X7),X8) )
| ~ spl51_73 ),
inference(superposition,[],[f483,f1075]) ).
fof(f1415,plain,
( ~ spl51_1
| ~ spl51_4
| spl51_106
| ~ spl51_73 ),
inference(avatar_split_clause,[],[f1411,f1073,f1413,f592,f577]) ).
fof(f1413,plain,
( spl51_106
<=> ! [X9] :
( segmentP(app(sK43,X9),sK43)
| ~ ssList(app(sK43,X9))
| ~ ssList(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_106])]) ).
fof(f1411,plain,
( ! [X9] :
( segmentP(app(sK43,X9),sK43)
| ~ ssList(sK43)
| ~ ssList(X9)
| ~ ssList(nil)
| ~ ssList(app(sK43,X9)) )
| ~ spl51_73 ),
inference(superposition,[],[f543,f1075]) ).
fof(f1361,plain,
( spl51_105
| ~ spl51_41
| ~ spl51_102 ),
inference(avatar_split_clause,[],[f1356,f1339,f858,f1358]) ).
fof(f1352,plain,
( spl51_104
| ~ spl51_67 ),
inference(avatar_split_clause,[],[f1321,f1039,f1349]) ).
fof(f1349,plain,
( spl51_104
<=> sK1(sK42,sK43) = app(sK1(sK42,sK43),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_104])]) ).
fof(f1321,plain,
( sK1(sK42,sK43) = app(sK1(sK42,sK43),nil)
| ~ spl51_67 ),
inference(resolution,[],[f1040,f535]) ).
fof(f1347,plain,
( spl51_103
| ~ spl51_67 ),
inference(avatar_split_clause,[],[f1320,f1039,f1344]) ).
fof(f1344,plain,
( spl51_103
<=> app(app(sK0(sK1(sK42,sK43),sK1(sK42,sK43)),sK1(sK42,sK43)),sK1(sK1(sK42,sK43),sK1(sK42,sK43))) = sK1(sK42,sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_103])]) ).
fof(f1320,plain,
( app(app(sK0(sK1(sK42,sK43),sK1(sK42,sK43)),sK1(sK42,sK43)),sK1(sK1(sK42,sK43),sK1(sK42,sK43))) = sK1(sK42,sK43)
| ~ spl51_67 ),
inference(resolution,[],[f1040,f856]) ).
fof(f1342,plain,
( spl51_101
| spl51_102
| ~ spl51_67 ),
inference(avatar_split_clause,[],[f1323,f1039,f1339,f1335]) ).
fof(f1323,plain,
( nil = sK1(sK42,sK43)
| sK1(sK42,sK43) = cons(sK27(sK1(sK42,sK43)),sK26(sK1(sK42,sK43)))
| ~ spl51_67 ),
inference(resolution,[],[f1040,f448]) ).
fof(f1333,plain,
( spl51_100
| ~ spl51_42
| ~ spl51_67 ),
inference(avatar_split_clause,[],[f1319,f1039,f863,f1330]) ).
fof(f1330,plain,
( spl51_100
<=> app(app(sK0(sK1(sK42,sK43),nil),nil),sK1(sK1(sK42,sK43),nil)) = sK1(sK42,sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_100])]) ).
fof(f1319,plain,
( app(app(sK0(sK1(sK42,sK43),nil),nil),sK1(sK1(sK42,sK43),nil)) = sK1(sK42,sK43)
| ~ spl51_42
| ~ spl51_67 ),
inference(resolution,[],[f1040,f864]) ).
fof(f1328,plain,
( spl51_99
| ~ spl51_67 ),
inference(avatar_split_clause,[],[f1322,f1039,f1325]) ).
fof(f1325,plain,
( spl51_99
<=> app(nil,sK1(sK42,sK43)) = sK1(sK42,sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_99])]) ).
fof(f1322,plain,
( app(nil,sK1(sK42,sK43)) = sK1(sK42,sK43)
| ~ spl51_67 ),
inference(resolution,[],[f1040,f436]) ).
fof(f1318,plain,
( ~ spl51_4
| ~ spl51_13
| ~ spl51_8
| spl51_67 ),
inference(avatar_split_clause,[],[f1317,f1039,f611,f637,f592]) ).
fof(f1317,plain,
( ~ segmentP(sK42,sK43)
| ~ ssList(sK42)
| ~ ssList(sK43)
| spl51_67 ),
inference(resolution,[],[f1041,f342]) ).
fof(f1041,plain,
( ~ ssList(sK1(sK42,sK43))
| spl51_67 ),
inference(avatar_component_clause,[],[f1039]) ).
fof(f1306,plain,
( spl51_98
| ~ spl51_56
| ~ spl51_13
| ~ spl51_61 ),
inference(avatar_split_clause,[],[f1301,f1000,f637,f979,f1303]) ).
fof(f1303,plain,
( spl51_98
<=> app(sK19(sK42,sK27(sK42)),cons(sK27(sK42),sK20(sK42,sK27(sK42)))) = sK42 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_98])]) ).
fof(f1000,plain,
( spl51_61
<=> memberP(sK42,sK27(sK42)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_61])]) ).
fof(f1301,plain,
( ~ ssList(sK42)
| ~ ssItem(sK27(sK42))
| app(sK19(sK42,sK27(sK42)),cons(sK27(sK42),sK20(sK42,sK27(sK42)))) = sK42
| ~ spl51_61 ),
inference(resolution,[],[f1002,f405]) ).
fof(f1002,plain,
( memberP(sK42,sK27(sK42))
| ~ spl51_61 ),
inference(avatar_component_clause,[],[f1000]) ).
fof(f1300,plain,
( ~ spl51_4
| spl51_97
| ~ spl51_48
| ~ spl51_52 ),
inference(avatar_split_clause,[],[f1295,f949,f932,f1297,f592]) ).
fof(f1297,plain,
( spl51_97
<=> app(sK19(sK43,sK27(sK43)),cons(sK27(sK43),sK20(sK43,sK27(sK43)))) = sK43 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_97])]) ).
fof(f1295,plain,
( ~ ssItem(sK27(sK43))
| app(sK19(sK43,sK27(sK43)),cons(sK27(sK43),sK20(sK43,sK27(sK43)))) = sK43
| ~ ssList(sK43)
| ~ spl51_52 ),
inference(resolution,[],[f951,f405]) ).
fof(f1294,plain,
( ~ spl51_1
| spl51_96 ),
inference(avatar_split_clause,[],[f1290,f1292,f577]) ).
fof(f1292,plain,
( spl51_96
<=> ! [X0] :
( ~ ssItem(X0)
| cons(X0,nil) = cons(sK9(cons(X0,nil)),nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_96])]) ).
fof(f1290,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssList(nil)
| cons(X0,nil) = cons(sK9(cons(X0,nil)),nil) ),
inference(duplicate_literal_removal,[],[f1288]) ).
fof(f1288,plain,
! [X0] :
( ~ ssItem(X0)
| cons(X0,nil) = cons(sK9(cons(X0,nil)),nil)
| ~ ssItem(X0)
| ~ ssList(nil) ),
inference(resolution,[],[f766,f371]) ).
fof(f371,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f207]) ).
fof(f207,plain,
! [X0] :
( ! [X1] :
( ~ ssItem(X1)
| ssList(cons(X1,X0)) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f766,plain,
! [X0] :
( ~ ssList(cons(X0,nil))
| cons(X0,nil) = cons(sK9(cons(X0,nil)),nil)
| ~ ssItem(X0) ),
inference(duplicate_literal_removal,[],[f764]) ).
fof(f764,plain,
! [X0] :
( ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| cons(X0,nil) = cons(sK9(cons(X0,nil)),nil)
| ~ ssList(cons(X0,nil)) ),
inference(resolution,[],[f547,f368]) ).
fof(f368,plain,
! [X0] :
( ~ singletonP(X0)
| cons(sK9(X0),nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f251]) ).
fof(f251,plain,
! [X0] :
( ~ ssList(X0)
| ( ( singletonP(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,nil) != X0 ) )
& ( ( ssItem(sK9(X0))
& cons(sK9(X0),nil) = X0 )
| ~ singletonP(X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f249,f250]) ).
fof(f250,plain,
! [X0] :
( ? [X2] :
( ssItem(X2)
& cons(X2,nil) = X0 )
=> ( ssItem(sK9(X0))
& cons(sK9(X0),nil) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f249,plain,
! [X0] :
( ~ ssList(X0)
| ( ( singletonP(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,nil) != X0 ) )
& ( ? [X2] :
( ssItem(X2)
& cons(X2,nil) = X0 )
| ~ singletonP(X0) ) ) ),
inference(rectify,[],[f248]) ).
fof(f248,plain,
! [X0] :
( ~ ssList(X0)
| ( ( singletonP(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,nil) != X0 ) )
& ( ? [X1] :
( ssItem(X1)
& cons(X1,nil) = X0 )
| ~ singletonP(X0) ) ) ),
inference(nnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0] :
( ~ ssList(X0)
| ( singletonP(X0)
<=> ? [X1] :
( ssItem(X1)
& cons(X1,nil) = X0 ) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ssList(X0)
=> ( singletonP(X0)
<=> ? [X1] :
( ssItem(X1)
& cons(X1,nil) = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f547,plain,
! [X1] :
( singletonP(cons(X1,nil))
| ~ ssList(cons(X1,nil))
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f370]) ).
fof(f370,plain,
! [X0,X1] :
( ~ ssList(X0)
| singletonP(X0)
| ~ ssItem(X1)
| cons(X1,nil) != X0 ),
inference(cnf_transformation,[],[f251]) ).
fof(f1276,plain,
( spl51_95
| ~ spl51_57 ),
inference(avatar_split_clause,[],[f1246,f983,f1273]) ).
fof(f1246,plain,
( app(nil,sK26(sK42)) = sK26(sK42)
| ~ spl51_57 ),
inference(resolution,[],[f984,f436]) ).
fof(f1271,plain,
( spl51_94
| ~ spl51_57 ),
inference(avatar_split_clause,[],[f1245,f983,f1268]) ).
fof(f1245,plain,
( app(sK26(sK42),nil) = sK26(sK42)
| ~ spl51_57 ),
inference(resolution,[],[f984,f535]) ).
fof(f1266,plain,
( spl51_93
| ~ spl51_57 ),
inference(avatar_split_clause,[],[f1244,f983,f1263]) ).
fof(f1263,plain,
( spl51_93
<=> sK26(sK42) = app(app(sK0(sK26(sK42),sK26(sK42)),sK26(sK42)),sK1(sK26(sK42),sK26(sK42))) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_93])]) ).
fof(f1244,plain,
( sK26(sK42) = app(app(sK0(sK26(sK42),sK26(sK42)),sK26(sK42)),sK1(sK26(sK42),sK26(sK42)))
| ~ spl51_57 ),
inference(resolution,[],[f984,f856]) ).
fof(f1261,plain,
( spl51_92
| ~ spl51_42
| ~ spl51_57 ),
inference(avatar_split_clause,[],[f1243,f983,f863,f1258]) ).
fof(f1258,plain,
( spl51_92
<=> app(app(sK0(sK26(sK42),nil),nil),sK1(sK26(sK42),nil)) = sK26(sK42) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_92])]) ).
fof(f1243,plain,
( app(app(sK0(sK26(sK42),nil),nil),sK1(sK26(sK42),nil)) = sK26(sK42)
| ~ spl51_42
| ~ spl51_57 ),
inference(resolution,[],[f984,f864]) ).
fof(f1256,plain,
( spl51_90
| spl51_91
| ~ spl51_57 ),
inference(avatar_split_clause,[],[f1247,f983,f1253,f1249]) ).
fof(f1247,plain,
( sK26(sK42) = cons(sK27(sK26(sK42)),sK26(sK26(sK42)))
| nil = sK26(sK42)
| ~ spl51_57 ),
inference(resolution,[],[f984,f448]) ).
fof(f1242,plain,
( spl51_18
| ~ spl51_13
| spl51_57 ),
inference(avatar_split_clause,[],[f1241,f983,f637,f663]) ).
fof(f663,plain,
( spl51_18
<=> nil = sK42 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_18])]) ).
fof(f1241,plain,
( ~ ssList(sK42)
| nil = sK42
| spl51_57 ),
inference(resolution,[],[f985,f447]) ).
fof(f985,plain,
( ~ ssList(sK26(sK42))
| spl51_57 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f1240,plain,
( spl51_89
| ~ spl51_13
| ~ spl51_42 ),
inference(avatar_split_clause,[],[f1224,f863,f637,f1237]) ).
fof(f1224,plain,
( sK42 = app(app(sK0(sK42,nil),nil),sK1(sK42,nil))
| ~ spl51_13
| ~ spl51_42 ),
inference(resolution,[],[f864,f639]) ).
fof(f639,plain,
( ssList(sK42)
| ~ spl51_13 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f1235,plain,
( spl51_88
| ~ spl51_4
| ~ spl51_42 ),
inference(avatar_split_clause,[],[f1225,f863,f592,f1232]) ).
fof(f1225,plain,
( sK43 = app(app(sK0(sK43,nil),nil),sK1(sK43,nil))
| ~ spl51_4
| ~ spl51_42 ),
inference(resolution,[],[f864,f594]) ).
fof(f594,plain,
( ssList(sK43)
| ~ spl51_4 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f1230,plain,
( spl51_87
| ~ spl51_42
| ~ spl51_49 ),
inference(avatar_split_clause,[],[f1223,f936,f863,f1227]) ).
fof(f1227,plain,
( spl51_87
<=> sK26(sK43) = app(app(sK0(sK26(sK43),nil),nil),sK1(sK26(sK43),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_87])]) ).
fof(f1223,plain,
( sK26(sK43) = app(app(sK0(sK26(sK43),nil),nil),sK1(sK26(sK43),nil))
| ~ spl51_42
| ~ spl51_49 ),
inference(resolution,[],[f864,f937]) ).
fof(f1214,plain,
( spl51_86
| ~ spl51_49 ),
inference(avatar_split_clause,[],[f1192,f936,f1211]) ).
fof(f1211,plain,
( spl51_86
<=> app(app(sK0(sK26(sK43),sK26(sK43)),sK26(sK43)),sK1(sK26(sK43),sK26(sK43))) = sK26(sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_86])]) ).
fof(f1192,plain,
( app(app(sK0(sK26(sK43),sK26(sK43)),sK26(sK43)),sK1(sK26(sK43),sK26(sK43))) = sK26(sK43)
| ~ spl51_49 ),
inference(resolution,[],[f856,f937]) ).
fof(f1209,plain,
( spl51_85
| ~ spl51_4 ),
inference(avatar_split_clause,[],[f1194,f592,f1206]) ).
fof(f1194,plain,
( app(app(sK0(sK43,sK43),sK43),sK1(sK43,sK43)) = sK43
| ~ spl51_4 ),
inference(resolution,[],[f856,f594]) ).
fof(f1204,plain,
( spl51_84
| ~ spl51_1 ),
inference(avatar_split_clause,[],[f1186,f577,f1201]) ).
fof(f1201,plain,
( spl51_84
<=> nil = app(app(sK0(nil,nil),nil),sK1(nil,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_84])]) ).
fof(f1186,plain,
( nil = app(app(sK0(nil,nil),nil),sK1(nil,nil))
| ~ spl51_1 ),
inference(resolution,[],[f856,f579]) ).
fof(f579,plain,
( ssList(nil)
| ~ spl51_1 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f1199,plain,
( spl51_83
| ~ spl51_13 ),
inference(avatar_split_clause,[],[f1193,f637,f1196]) ).
fof(f1193,plain,
( app(app(sK0(sK42,sK42),sK42),sK1(sK42,sK42)) = sK42
| ~ spl51_13 ),
inference(resolution,[],[f856,f639]) ).
fof(f1173,plain,
( spl51_18
| ~ spl51_13
| spl51_56 ),
inference(avatar_split_clause,[],[f1172,f979,f637,f663]) ).
fof(f1172,plain,
( ~ ssList(sK42)
| nil = sK42
| spl51_56 ),
inference(resolution,[],[f981,f449]) ).
fof(f449,plain,
! [X0] :
( ssItem(sK27(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f981,plain,
( ~ ssItem(sK27(sK42))
| spl51_56 ),
inference(avatar_component_clause,[],[f979]) ).
fof(f1150,plain,
( spl51_82
| ~ spl51_32
| ~ spl51_79 ),
inference(avatar_split_clause,[],[f1139,f1125,f777,f1147]) ).
fof(f777,plain,
( spl51_32
<=> cons(sK27(sK43),sK26(sK43)) = sK43 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_32])]) ).
fof(f1139,plain,
( cons(sK27(sK43),nil) = sK43
| ~ spl51_32
| ~ spl51_79 ),
inference(backward_demodulation,[],[f779,f1127]) ).
fof(f779,plain,
( cons(sK27(sK43),sK26(sK43)) = sK43
| ~ spl51_32 ),
inference(avatar_component_clause,[],[f777]) ).
fof(f1138,plain,
( spl51_81
| ~ spl51_49 ),
inference(avatar_split_clause,[],[f1117,f936,f1135]) ).
fof(f1135,plain,
( spl51_81
<=> sK26(sK43) = app(sK26(sK43),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_81])]) ).
fof(f1117,plain,
( sK26(sK43) = app(sK26(sK43),nil)
| ~ spl51_49 ),
inference(resolution,[],[f937,f535]) ).
fof(f1133,plain,
( spl51_80
| ~ spl51_49 ),
inference(avatar_split_clause,[],[f1118,f936,f1130]) ).
fof(f1130,plain,
( spl51_80
<=> sK26(sK43) = app(nil,sK26(sK43)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_80])]) ).
fof(f1118,plain,
( sK26(sK43) = app(nil,sK26(sK43))
| ~ spl51_49 ),
inference(resolution,[],[f937,f436]) ).
fof(f1128,plain,
( spl51_78
| spl51_79
| ~ spl51_49 ),
inference(avatar_split_clause,[],[f1119,f936,f1125,f1121]) ).
fof(f1119,plain,
( nil = sK26(sK43)
| sK26(sK43) = cons(sK27(sK26(sK43)),sK26(sK26(sK43)))
| ~ spl51_49 ),
inference(resolution,[],[f937,f448]) ).
fof(f1107,plain,
( spl51_77
| ~ spl51_13 ),
inference(avatar_split_clause,[],[f1096,f637,f1104]) ).
fof(f1096,plain,
( sK42 = app(sK42,nil)
| ~ spl51_13 ),
inference(resolution,[],[f535,f639]) ).
fof(f1102,plain,
( spl51_76
| ~ spl51_4 ),
inference(avatar_split_clause,[],[f1097,f592,f1099]) ).
fof(f1097,plain,
( sK43 = app(sK43,nil)
| ~ spl51_4 ),
inference(resolution,[],[f535,f594]) ).
fof(f1088,plain,
( spl51_17
| ~ spl51_4
| spl51_49 ),
inference(avatar_split_clause,[],[f1087,f936,f592,f659]) ).
fof(f659,plain,
( spl51_17
<=> nil = sK43 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_17])]) ).
fof(f1087,plain,
( ~ ssList(sK43)
| nil = sK43
| spl51_49 ),
inference(resolution,[],[f938,f447]) ).
fof(f938,plain,
( ~ ssList(sK26(sK43))
| spl51_49 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f1086,plain,
( spl51_75
| ~ spl51_1 ),
inference(avatar_split_clause,[],[f1064,f577,f1083]) ).
fof(f1083,plain,
( spl51_75
<=> nil = app(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_75])]) ).
fof(f1064,plain,
( nil = app(nil,nil)
| ~ spl51_1 ),
inference(resolution,[],[f436,f579]) ).
fof(f1081,plain,
( spl51_74
| ~ spl51_13 ),
inference(avatar_split_clause,[],[f1070,f637,f1078]) ).
fof(f1070,plain,
( app(nil,sK42) = sK42
| ~ spl51_13 ),
inference(resolution,[],[f436,f639]) ).
fof(f1076,plain,
( spl51_73
| ~ spl51_4 ),
inference(avatar_split_clause,[],[f1071,f592,f1073]) ).
fof(f1071,plain,
( sK43 = app(nil,sK43)
| ~ spl51_4 ),
inference(resolution,[],[f436,f594]) ).
fof(f1062,plain,
( ~ spl51_67
| ~ spl51_68
| spl51_72
| ~ spl51_41 ),
inference(avatar_split_clause,[],[f1031,f858,f1060,f1043,f1039]) ).
fof(f1031,plain,
( ! [X2,X3] :
( ~ ssList(X2)
| ~ segmentP(sK1(sK42,sK43),X3)
| ~ ssList(app(sK0(sK42,sK43),sK43))
| ~ ssList(sK1(sK42,sK43))
| ~ ssList(X3)
| segmentP(app(sK42,X2),X3) )
| ~ spl51_41 ),
inference(superposition,[],[f483,f860]) ).
fof(f1058,plain,
( ~ spl51_68
| ~ spl51_67
| spl51_71
| ~ spl51_41 ),
inference(avatar_split_clause,[],[f1033,f858,f1056,f1039,f1043]) ).
fof(f1033,plain,
( ! [X5] :
( ~ memberP(sK1(sK42,sK43),X5)
| ~ ssItem(X5)
| ~ ssList(sK1(sK42,sK43))
| memberP(sK42,X5)
| ~ ssList(app(sK0(sK42,sK43),sK43)) )
| ~ spl51_41 ),
inference(superposition,[],[f347,f860]) ).
fof(f1054,plain,
( ~ spl51_67
| ~ spl51_68
| spl51_70
| ~ spl51_41 ),
inference(avatar_split_clause,[],[f1034,f858,f1052,f1043,f1039]) ).
fof(f1034,plain,
( ! [X6] :
( ~ ssItem(X6)
| ~ memberP(app(sK0(sK42,sK43),sK43),X6)
| ~ ssList(app(sK0(sK42,sK43),sK43))
| ~ ssList(sK1(sK42,sK43))
| memberP(sK42,X6) )
| ~ spl51_41 ),
inference(superposition,[],[f346,f860]) ).
fof(f1050,plain,
( ~ spl51_67
| ~ spl51_68
| spl51_69
| ~ spl51_41 ),
inference(avatar_split_clause,[],[f1030,f858,f1048,f1043,f1039]) ).
fof(f1030,plain,
( ! [X1] :
( ~ ssList(X1)
| segmentP(app(sK42,X1),sK1(sK42,sK43))
| ~ ssList(app(sK0(sK42,sK43),sK43))
| ~ ssList(sK1(sK42,sK43))
| ~ ssList(app(sK42,X1)) )
| ~ spl51_41 ),
inference(superposition,[],[f543,f860]) ).
fof(f1046,plain,
( spl51_66
| ~ spl51_67
| ~ spl51_68
| ~ spl51_41 ),
inference(avatar_split_clause,[],[f1032,f858,f1043,f1039,f1036]) ).
fof(f1032,plain,
( ! [X4] :
( ~ ssList(app(sK0(sK42,sK43),sK43))
| ~ ssList(sK1(sK42,sK43))
| memberP(sK1(sK42,sK43),X4)
| ~ memberP(sK42,X4)
| ~ ssItem(X4)
| memberP(app(sK0(sK42,sK43),sK43),X4) )
| ~ spl51_41 ),
inference(superposition,[],[f348,f860]) ).
fof(f1027,plain,
( spl51_65
| ~ spl51_4
| ~ spl51_1
| ~ spl51_39 ),
inference(avatar_split_clause,[],[f1020,f836,f577,f592,f1024]) ).
fof(f836,plain,
( spl51_39
<=> ! [X4] :
( ~ ssList(X4)
| ~ segmentP(sK43,X4)
| segmentP(sK42,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_39])]) ).
fof(f1020,plain,
( ~ ssList(nil)
| ~ ssList(sK43)
| segmentP(sK42,nil)
| ~ spl51_39 ),
inference(resolution,[],[f837,f382]) ).
fof(f837,plain,
( ! [X4] :
( ~ segmentP(sK43,X4)
| ~ ssList(X4)
| segmentP(sK42,X4) )
| ~ spl51_39 ),
inference(avatar_component_clause,[],[f836]) ).
fof(f1019,plain,
( spl51_17
| ~ spl51_4
| spl51_48 ),
inference(avatar_split_clause,[],[f1018,f932,f592,f659]) ).
fof(f1018,plain,
( ~ ssList(sK43)
| nil = sK43
| spl51_48 ),
inference(resolution,[],[f934,f449]) ).
fof(f934,plain,
( ~ ssItem(sK27(sK43))
| spl51_48 ),
inference(avatar_component_clause,[],[f932]) ).
fof(f1017,plain,
( ~ spl51_56
| ~ spl51_57
| spl51_64
| ~ spl51_33 ),
inference(avatar_split_clause,[],[f971,f782,f1014,f983,f979]) ).
fof(f1014,plain,
( spl51_64
<=> ! [X4,X5] :
( sK26(sK42) = X5
| ~ ssItem(X4)
| ~ ssList(X5)
| sK42 != cons(X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_64])]) ).
fof(f971,plain,
( ! [X2,X3] :
( ~ ssItem(X2)
| cons(X2,X3) != sK42
| sK26(sK42) = X3
| ~ ssList(X3)
| ~ ssList(sK26(sK42))
| ~ ssItem(sK27(sK42)) )
| ~ spl51_33 ),
inference(superposition,[],[f460,f784]) ).
fof(f460,plain,
! [X2,X3,X0,X1] :
( cons(X2,X0) != cons(X3,X1)
| ~ ssList(X0)
| X0 = X1
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssItem(X3) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ( X2 = X3
& X0 = X1 )
| cons(X2,X0) != cons(X3,X1)
| ~ ssItem(X3) ) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f146]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X2 = X3
& X0 = X1 )
| cons(X2,X0) != cons(X3,X1)
| ~ ssItem(X3) )
| ~ ssItem(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ( cons(X2,X0) = cons(X3,X1)
=> ( X2 = X3
& X0 = X1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
fof(f1016,plain,
( ~ spl51_57
| ~ spl51_56
| spl51_64
| ~ spl51_33 ),
inference(avatar_split_clause,[],[f972,f782,f1014,f979,f983]) ).
fof(f972,plain,
( ! [X4,X5] :
( sK26(sK42) = X5
| sK42 != cons(X4,X5)
| ~ ssList(X5)
| ~ ssItem(sK27(sK42))
| ~ ssItem(X4)
| ~ ssList(sK26(sK42)) )
| ~ spl51_33 ),
inference(superposition,[],[f460,f784]) ).
fof(f1012,plain,
( ~ spl51_57
| ~ spl51_56
| spl51_60
| ~ spl51_33 ),
inference(avatar_split_clause,[],[f974,f782,f996,f979,f983]) ).
fof(f996,plain,
( spl51_60
<=> ! [X6,X7] :
( ~ ssList(X7)
| sK27(sK42) = X6
| ~ ssItem(X6)
| sK42 != cons(X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_60])]) ).
fof(f974,plain,
( ! [X8,X9] :
( ~ ssList(X9)
| ~ ssItem(X8)
| sK27(sK42) = X8
| cons(X8,X9) != sK42
| ~ ssItem(sK27(sK42))
| ~ ssList(sK26(sK42)) )
| ~ spl51_33 ),
inference(superposition,[],[f461,f784]) ).
fof(f461,plain,
! [X2,X3,X0,X1] :
( cons(X2,X0) != cons(X3,X1)
| ~ ssItem(X3)
| X2 = X3
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2) ),
inference(cnf_transformation,[],[f147]) ).
fof(f1011,plain,
( ~ spl51_57
| ~ spl51_56
| spl51_63
| ~ spl51_33 ),
inference(avatar_split_clause,[],[f969,f782,f1009,f979,f983]) ).
fof(f1009,plain,
( spl51_63
<=> ! [X0] :
( ~ memberP(sK26(sK42),X0)
| ~ ssItem(X0)
| memberP(sK42,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_63])]) ).
fof(f969,plain,
( ! [X0] :
( ~ memberP(sK26(sK42),X0)
| ~ ssItem(sK27(sK42))
| memberP(sK42,X0)
| ~ ssList(sK26(sK42))
| ~ ssItem(X0) )
| ~ spl51_33 ),
inference(superposition,[],[f413,f784]) ).
fof(f1007,plain,
( ~ spl51_56
| spl51_62
| ~ spl51_57
| ~ spl51_33 ),
inference(avatar_split_clause,[],[f976,f782,f983,f1005,f979]) ).
fof(f976,plain,
( ! [X10] :
( ~ ssList(sK26(sK42))
| memberP(app(X10,sK42),sK27(sK42))
| ~ ssList(app(X10,sK42))
| ~ ssItem(sK27(sK42))
| ~ ssList(X10) )
| ~ spl51_33 ),
inference(superposition,[],[f553,f784]) ).
fof(f1003,plain,
( spl51_61
| ~ spl51_57
| ~ spl51_56
| ~ spl51_33 ),
inference(avatar_split_clause,[],[f977,f782,f979,f983,f1000]) ).
fof(f977,plain,
( ~ ssItem(sK27(sK42))
| ~ ssList(sK26(sK42))
| memberP(sK42,sK27(sK42))
| ~ spl51_33 ),
inference(superposition,[],[f572,f784]) ).
fof(f998,plain,
( ~ spl51_57
| ~ spl51_56
| spl51_60
| ~ spl51_33 ),
inference(avatar_split_clause,[],[f973,f782,f996,f979,f983]) ).
fof(f973,plain,
( ! [X6,X7] :
( ~ ssList(X7)
| ~ ssItem(X6)
| sK42 != cons(X6,X7)
| sK27(sK42) = X6
| ~ ssItem(sK27(sK42))
| ~ ssList(sK26(sK42)) )
| ~ spl51_33 ),
inference(superposition,[],[f461,f784]) ).
fof(f994,plain,
( ~ spl51_56
| ~ spl51_57
| ~ spl51_59
| ~ spl51_33 ),
inference(avatar_split_clause,[],[f975,f782,f991,f983,f979]) ).
fof(f991,plain,
( spl51_59
<=> sK42 = sK26(sK42) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_59])]) ).
fof(f975,plain,
( sK42 != sK26(sK42)
| ~ ssList(sK26(sK42))
| ~ ssItem(sK27(sK42))
| ~ spl51_33 ),
inference(superposition,[],[f486,f784]) ).
fof(f486,plain,
! [X0,X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
fof(f989,plain,
( ~ spl51_56
| ~ spl51_57
| spl51_58
| ~ spl51_33 ),
inference(avatar_split_clause,[],[f970,f782,f987,f983,f979]) ).
fof(f987,plain,
( spl51_58
<=> ! [X1] :
( ~ ssItem(X1)
| sK27(sK42) = X1
| memberP(sK26(sK42),X1)
| ~ memberP(sK42,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_58])]) ).
fof(f970,plain,
( ! [X1] :
( ~ ssItem(X1)
| ~ memberP(sK42,X1)
| memberP(sK26(sK42),X1)
| ~ ssList(sK26(sK42))
| sK27(sK42) = X1
| ~ ssItem(sK27(sK42)) )
| ~ spl51_33 ),
inference(superposition,[],[f415,f784]) ).
fof(f415,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X1,X2),X0)
| memberP(X2,X0)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ ssList(X2) ),
inference(cnf_transformation,[],[f278]) ).
fof(f966,plain,
( ~ spl51_49
| ~ spl51_48
| spl51_55
| ~ spl51_32 ),
inference(avatar_split_clause,[],[f920,f777,f963,f932,f936]) ).
fof(f963,plain,
( spl51_55
<=> ! [X4,X5] :
( ~ ssItem(X4)
| sK43 != cons(X4,X5)
| ~ ssList(X5)
| sK26(sK43) = X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_55])]) ).
fof(f920,plain,
( ! [X2,X3] :
( ~ ssItem(X2)
| ~ ssItem(sK27(sK43))
| ~ ssList(X3)
| sK26(sK43) = X3
| ~ ssList(sK26(sK43))
| cons(X2,X3) != sK43 )
| ~ spl51_32 ),
inference(superposition,[],[f460,f779]) ).
fof(f965,plain,
( ~ spl51_48
| ~ spl51_49
| spl51_55
| ~ spl51_32 ),
inference(avatar_split_clause,[],[f921,f777,f963,f936,f932]) ).
fof(f921,plain,
( ! [X4,X5] :
( ~ ssItem(X4)
| ~ ssList(X5)
| sK26(sK43) = X5
| ~ ssList(sK26(sK43))
| sK43 != cons(X4,X5)
| ~ ssItem(sK27(sK43)) )
| ~ spl51_32 ),
inference(superposition,[],[f460,f779]) ).
fof(f961,plain,
( ~ spl51_49
| ~ spl51_48
| spl51_54
| ~ spl51_32 ),
inference(avatar_split_clause,[],[f923,f777,f958,f932,f936]) ).
fof(f958,plain,
( spl51_54
<=> ! [X6,X7] :
( ~ ssList(X7)
| ~ ssItem(X6)
| sK27(sK43) = X6
| sK43 != cons(X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_54])]) ).
fof(f923,plain,
( ! [X8,X9] :
( cons(X8,X9) != sK43
| ~ ssList(X9)
| sK27(sK43) = X8
| ~ ssItem(sK27(sK43))
| ~ ssList(sK26(sK43))
| ~ ssItem(X8) )
| ~ spl51_32 ),
inference(superposition,[],[f461,f779]) ).
fof(f960,plain,
( ~ spl51_49
| spl51_54
| ~ spl51_48
| ~ spl51_32 ),
inference(avatar_split_clause,[],[f922,f777,f932,f958,f936]) ).
fof(f922,plain,
( ! [X6,X7] :
( ~ ssItem(sK27(sK43))
| ~ ssList(X7)
| sK43 != cons(X6,X7)
| ~ ssList(sK26(sK43))
| sK27(sK43) = X6
| ~ ssItem(X6) )
| ~ spl51_32 ),
inference(superposition,[],[f461,f779]) ).
fof(f956,plain,
( ~ spl51_49
| ~ spl51_48
| spl51_53
| ~ spl51_32 ),
inference(avatar_split_clause,[],[f918,f777,f954,f932,f936]) ).
fof(f954,plain,
( spl51_53
<=> ! [X0] :
( ~ memberP(sK26(sK43),X0)
| memberP(sK43,X0)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_53])]) ).
fof(f918,plain,
( ! [X0] :
( ~ memberP(sK26(sK43),X0)
| ~ ssItem(sK27(sK43))
| ~ ssItem(X0)
| ~ ssList(sK26(sK43))
| memberP(sK43,X0) )
| ~ spl51_32 ),
inference(superposition,[],[f413,f779]) ).
fof(f952,plain,
( ~ spl51_48
| ~ spl51_49
| spl51_52
| ~ spl51_32 ),
inference(avatar_split_clause,[],[f926,f777,f949,f936,f932]) ).
fof(f926,plain,
( memberP(sK43,sK27(sK43))
| ~ ssList(sK26(sK43))
| ~ ssItem(sK27(sK43))
| ~ spl51_32 ),
inference(superposition,[],[f572,f779]) ).
fof(f947,plain,
( ~ spl51_48
| ~ spl51_49
| spl51_51
| ~ spl51_32 ),
inference(avatar_split_clause,[],[f925,f777,f945,f936,f932]) ).
fof(f945,plain,
( spl51_51
<=> ! [X10] :
( memberP(app(X10,sK43),sK27(sK43))
| ~ ssList(X10)
| ~ ssList(app(X10,sK43)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_51])]) ).
fof(f925,plain,
( ! [X10] :
( memberP(app(X10,sK43),sK27(sK43))
| ~ ssList(app(X10,sK43))
| ~ ssList(X10)
| ~ ssList(sK26(sK43))
| ~ ssItem(sK27(sK43)) )
| ~ spl51_32 ),
inference(superposition,[],[f553,f779]) ).
fof(f943,plain,
( spl51_50
| ~ spl51_48
| ~ spl51_49
| ~ spl51_32 ),
inference(avatar_split_clause,[],[f919,f777,f936,f932,f941]) ).
fof(f941,plain,
( spl51_50
<=> ! [X1] :
( sK27(sK43) = X1
| ~ ssItem(X1)
| memberP(sK26(sK43),X1)
| ~ memberP(sK43,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_50])]) ).
fof(f919,plain,
( ! [X1] :
( ~ ssList(sK26(sK43))
| ~ ssItem(sK27(sK43))
| sK27(sK43) = X1
| ~ memberP(sK43,X1)
| memberP(sK26(sK43),X1)
| ~ ssItem(X1) )
| ~ spl51_32 ),
inference(superposition,[],[f415,f779]) ).
fof(f939,plain,
( ~ spl51_47
| ~ spl51_48
| ~ spl51_49
| ~ spl51_32 ),
inference(avatar_split_clause,[],[f924,f777,f936,f932,f928]) ).
fof(f928,plain,
( spl51_47
<=> sK26(sK43) = sK43 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_47])]) ).
fof(f924,plain,
( ~ ssList(sK26(sK43))
| ~ ssItem(sK27(sK43))
| sK26(sK43) != sK43
| ~ spl51_32 ),
inference(superposition,[],[f486,f779]) ).
fof(f915,plain,
( ~ spl51_28
| spl51_46
| ~ spl51_1
| ~ spl51_24 ),
inference(avatar_split_clause,[],[f911,f707,f577,f913,f743]) ).
fof(f707,plain,
( spl51_24
<=> cons(sK9(sK43),nil) = sK43 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_24])]) ).
fof(f911,plain,
( ! [X0] :
( ~ ssList(nil)
| memberP(app(X0,sK43),sK9(sK43))
| ~ ssList(X0)
| ~ ssList(app(X0,sK43))
| ~ ssItem(sK9(sK43)) )
| ~ spl51_24 ),
inference(superposition,[],[f553,f709]) ).
fof(f709,plain,
( cons(sK9(sK43),nil) = sK43
| ~ spl51_24 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f910,plain,
( spl51_45
| ~ spl51_4
| ~ spl51_28
| ~ spl51_29 ),
inference(avatar_split_clause,[],[f905,f748,f743,f592,f907]) ).
fof(f907,plain,
( spl51_45
<=> sK43 = app(sK19(sK43,sK9(sK43)),cons(sK9(sK43),sK20(sK43,sK9(sK43)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_45])]) ).
fof(f905,plain,
( ~ ssItem(sK9(sK43))
| ~ ssList(sK43)
| sK43 = app(sK19(sK43,sK9(sK43)),cons(sK9(sK43),sK20(sK43,sK9(sK43))))
| ~ spl51_29 ),
inference(resolution,[],[f750,f405]) ).
fof(f891,plain,
( ~ spl51_1
| spl51_44
| ~ spl51_28
| ~ spl51_24 ),
inference(avatar_split_clause,[],[f884,f707,f743,f888,f577]) ).
fof(f888,plain,
( spl51_44
<=> ! [X0,X1] :
( ~ ssList(X1)
| sK9(sK43) = X0
| ~ ssItem(X0)
| cons(X0,X1) != sK43 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_44])]) ).
fof(f884,plain,
( ! [X0,X1] :
( ~ ssItem(sK9(sK43))
| ~ ssList(X1)
| cons(X0,X1) != sK43
| sK9(sK43) = X0
| ~ ssList(nil)
| ~ ssItem(X0) )
| ~ spl51_24 ),
inference(superposition,[],[f461,f709]) ).
fof(f890,plain,
( ~ spl51_1
| ~ spl51_28
| spl51_44
| ~ spl51_24 ),
inference(avatar_split_clause,[],[f883,f707,f888,f743,f577]) ).
fof(f883,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(sK9(sK43))
| ~ ssList(nil)
| ~ ssItem(X0)
| cons(X0,X1) != sK43
| sK9(sK43) = X0 )
| ~ spl51_24 ),
inference(superposition,[],[f461,f709]) ).
fof(f882,plain,
( ~ spl51_28
| spl51_43
| ~ spl51_1
| ~ spl51_24 ),
inference(avatar_split_clause,[],[f875,f707,f577,f879,f743]) ).
fof(f879,plain,
( spl51_43
<=> ! [X0,X1] :
( nil = X1
| ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != sK43 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_43])]) ).
fof(f875,plain,
( ! [X0,X1] :
( ~ ssList(nil)
| ~ ssList(X1)
| ~ ssItem(sK9(sK43))
| ~ ssItem(X0)
| nil = X1
| cons(X0,X1) != sK43 )
| ~ spl51_24 ),
inference(superposition,[],[f460,f709]) ).
fof(f881,plain,
( ~ spl51_1
| spl51_43
| ~ spl51_28
| ~ spl51_24 ),
inference(avatar_split_clause,[],[f874,f707,f743,f879,f577]) ).
fof(f874,plain,
( ! [X0,X1] :
( ~ ssItem(sK9(sK43))
| nil = X1
| ~ ssItem(X0)
| cons(X0,X1) != sK43
| ~ ssList(X1)
| ~ ssList(nil) )
| ~ spl51_24 ),
inference(superposition,[],[f460,f709]) ).
fof(f865,plain,
( ~ spl51_1
| spl51_42 ),
inference(avatar_split_clause,[],[f855,f863,f577]) ).
fof(f855,plain,
! [X0] :
( ~ ssList(X0)
| app(app(sK0(X0,nil),nil),sK1(X0,nil)) = X0
| ~ ssList(nil) ),
inference(duplicate_literal_removal,[],[f852]) ).
fof(f852,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(X0)
| ~ ssList(nil)
| app(app(sK0(X0,nil),nil),sK1(X0,nil)) = X0 ),
inference(resolution,[],[f343,f382]) ).
fof(f861,plain,
( spl51_41
| ~ spl51_4
| ~ spl51_13
| ~ spl51_8 ),
inference(avatar_split_clause,[],[f854,f611,f637,f592,f858]) ).
fof(f854,plain,
( ~ ssList(sK42)
| ~ ssList(sK43)
| sK42 = app(app(sK0(sK42,sK43),sK43),sK1(sK42,sK43))
| ~ spl51_8 ),
inference(resolution,[],[f343,f613]) ).
fof(f851,plain,
( ~ spl51_1
| ~ spl51_28
| spl51_40
| ~ spl51_24 ),
inference(avatar_split_clause,[],[f845,f707,f849,f743,f577]) ).
fof(f845,plain,
( ! [X0] :
( ~ ssItem(X0)
| ~ ssItem(sK9(sK43))
| memberP(nil,X0)
| sK9(sK43) = X0
| ~ memberP(sK43,X0)
| ~ ssList(nil) )
| ~ spl51_24 ),
inference(superposition,[],[f415,f709]) ).
fof(f838,plain,
( ~ spl51_13
| ~ spl51_4
| spl51_39
| ~ spl51_8 ),
inference(avatar_split_clause,[],[f828,f611,f836,f592,f637]) ).
fof(f828,plain,
( ! [X4] :
( ~ ssList(X4)
| ~ ssList(sK43)
| ~ ssList(sK42)
| segmentP(sK42,X4)
| ~ segmentP(sK43,X4) )
| ~ spl51_8 ),
inference(resolution,[],[f445,f613]) ).
fof(f834,plain,
( spl51_38
| ~ spl51_1 ),
inference(avatar_split_clause,[],[f829,f577,f832]) ).
fof(f832,plain,
( spl51_38
<=> ! [X0,X1] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| segmentP(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_38])]) ).
fof(f829,plain,
! [X0,X1] :
( ~ ssList(nil)
| ~ segmentP(nil,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(X1,X0) ),
inference(duplicate_literal_removal,[],[f826]) ).
fof(f826,plain,
! [X0,X1] :
( ~ ssList(X1)
| segmentP(X1,X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(resolution,[],[f445,f382]) ).
fof(f824,plain,
( ~ spl51_36
| ~ spl51_13
| ~ spl51_4
| spl51_37
| ~ spl51_8 ),
inference(avatar_split_clause,[],[f813,f611,f821,f592,f637,f817]) ).
fof(f817,plain,
( spl51_36
<=> segmentP(sK43,sK42) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_36])]) ).
fof(f821,plain,
( spl51_37
<=> sK42 = sK43 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_37])]) ).
fof(f813,plain,
( sK42 = sK43
| ~ ssList(sK43)
| ~ ssList(sK42)
| ~ segmentP(sK43,sK42)
| ~ spl51_8 ),
inference(resolution,[],[f487,f613]) ).
fof(f808,plain,
( ~ spl51_35
| ~ spl51_28
| ~ spl51_24 ),
inference(avatar_split_clause,[],[f763,f707,f743,f805]) ).
fof(f763,plain,
( ~ ssItem(sK9(sK43))
| ~ memberP(sK42,sK9(sK43))
| ~ spl51_24 ),
inference(trivial_inequality_removal,[],[f762]) ).
fof(f762,plain,
( sK43 != sK43
| ~ ssItem(sK9(sK43))
| ~ memberP(sK42,sK9(sK43))
| ~ spl51_24 ),
inference(superposition,[],[f537,f709]) ).
fof(f803,plain,
( ~ spl51_19
| ~ spl51_4
| spl51_28 ),
inference(avatar_split_clause,[],[f802,f743,f592,f668]) ).
fof(f668,plain,
( spl51_19
<=> singletonP(sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_19])]) ).
fof(f802,plain,
( ~ ssList(sK43)
| ~ singletonP(sK43)
| spl51_28 ),
inference(resolution,[],[f745,f369]) ).
fof(f369,plain,
! [X0] :
( ssItem(sK9(X0))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f251]) ).
fof(f745,plain,
( ~ ssItem(sK9(sK43))
| spl51_28 ),
inference(avatar_component_clause,[],[f743]) ).
fof(f800,plain,
( spl51_17
| ~ spl51_4
| ~ spl51_26 ),
inference(avatar_split_clause,[],[f799,f722,f592,f659]) ).
fof(f722,plain,
( spl51_26
<=> segmentP(nil,sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_26])]) ).
fof(f799,plain,
( ~ ssList(sK43)
| nil = sK43
| ~ spl51_26 ),
inference(resolution,[],[f724,f408]) ).
fof(f408,plain,
! [X0] :
( ~ segmentP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f275]) ).
fof(f275,plain,
! [X0] :
( ( ( segmentP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ segmentP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0] :
( ( segmentP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax58) ).
fof(f724,plain,
( segmentP(nil,sK43)
| ~ spl51_26 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f797,plain,
( ~ spl51_34
| ~ spl51_18
| spl51_33 ),
inference(avatar_split_clause,[],[f787,f782,f663,f794]) ).
fof(f787,plain,
( nil != cons(sK27(nil),sK26(nil))
| ~ spl51_18
| spl51_33 ),
inference(backward_demodulation,[],[f783,f664]) ).
fof(f664,plain,
( nil = sK42
| ~ spl51_18 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f783,plain,
( cons(sK27(sK42),sK26(sK42)) != sK42
| spl51_33 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f792,plain,
( spl51_26
| ~ spl51_8
| ~ spl51_18 ),
inference(avatar_split_clause,[],[f789,f663,f611,f722]) ).
fof(f789,plain,
( segmentP(nil,sK43)
| ~ spl51_8
| ~ spl51_18 ),
inference(backward_demodulation,[],[f613,f664]) ).
fof(f786,plain,
( spl51_26
| ~ spl51_8
| ~ spl51_18 ),
inference(avatar_split_clause,[],[f714,f663,f611,f722]) ).
fof(f714,plain,
( segmentP(nil,sK43)
| ~ spl51_8
| ~ spl51_18 ),
inference(backward_demodulation,[],[f613,f664]) ).
fof(f785,plain,
( spl51_33
| spl51_18
| ~ spl51_13 ),
inference(avatar_split_clause,[],[f774,f637,f663,f782]) ).
fof(f774,plain,
( nil = sK42
| cons(sK27(sK42),sK26(sK42)) = sK42
| ~ spl51_13 ),
inference(resolution,[],[f448,f639]) ).
fof(f780,plain,
( spl51_32
| spl51_17
| ~ spl51_4 ),
inference(avatar_split_clause,[],[f775,f592,f659,f777]) ).
fof(f775,plain,
( nil = sK43
| cons(sK27(sK43),sK26(sK43)) = sK43
| ~ spl51_4 ),
inference(resolution,[],[f448,f594]) ).
fof(f761,plain,
( spl51_31
| ~ spl51_28
| ~ spl51_24 ),
inference(avatar_split_clause,[],[f732,f707,f743,f758]) ).
fof(f758,plain,
( spl51_31
<=> strictorderP(sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_31])]) ).
fof(f732,plain,
( ~ ssItem(sK9(sK43))
| strictorderP(sK43)
| ~ spl51_24 ),
inference(superposition,[],[f435,f709]) ).
fof(f435,plain,
! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,axiom,
! [X0] :
( ssItem(X0)
=> strictorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax63) ).
fof(f756,plain,
( spl51_30
| ~ spl51_28
| ~ spl51_24 ),
inference(avatar_split_clause,[],[f731,f707,f743,f753]) ).
fof(f753,plain,
( spl51_30
<=> cyclefreeP(sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_30])]) ).
fof(f731,plain,
( ~ ssItem(sK9(sK43))
| cyclefreeP(sK43)
| ~ spl51_24 ),
inference(superposition,[],[f455,f709]) ).
fof(f455,plain,
! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ~ ssItem(X0)
| cyclefreeP(cons(X0,nil)) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,axiom,
! [X0] :
( ssItem(X0)
=> cyclefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax59) ).
fof(f751,plain,
( ~ spl51_28
| ~ spl51_1
| spl51_29
| ~ spl51_24 ),
inference(avatar_split_clause,[],[f734,f707,f748,f577,f743]) ).
fof(f734,plain,
( memberP(sK43,sK9(sK43))
| ~ ssList(nil)
| ~ ssItem(sK9(sK43))
| ~ spl51_24 ),
inference(superposition,[],[f572,f709]) ).
fof(f746,plain,
( spl51_27
| ~ spl51_28
| ~ spl51_24 ),
inference(avatar_split_clause,[],[f733,f707,f743,f739]) ).
fof(f739,plain,
( spl51_27
<=> totalorderedP(sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_27])]) ).
fof(f733,plain,
( ~ ssItem(sK9(sK43))
| totalorderedP(sK43)
| ~ spl51_24 ),
inference(superposition,[],[f385,f709]) ).
fof(f385,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
! [X0] :
( ssItem(X0)
=> totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax65) ).
fof(f725,plain,
( spl51_26
| ~ spl51_8
| ~ spl51_18 ),
inference(avatar_split_clause,[],[f714,f663,f611,f722]) ).
fof(f720,plain,
( ~ spl51_25
| ~ spl51_18
| spl51_20 ),
inference(avatar_split_clause,[],[f711,f672,f663,f717]) ).
fof(f717,plain,
( spl51_25
<=> neq(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_25])]) ).
fof(f672,plain,
( spl51_20
<=> neq(sK42,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_20])]) ).
fof(f711,plain,
( ~ neq(nil,nil)
| ~ spl51_18
| spl51_20 ),
inference(backward_demodulation,[],[f674,f664]) ).
fof(f674,plain,
( ~ neq(sK42,nil)
| spl51_20 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f710,plain,
( spl51_24
| ~ spl51_4
| ~ spl51_19 ),
inference(avatar_split_clause,[],[f705,f668,f592,f707]) ).
fof(f705,plain,
( ~ ssList(sK43)
| cons(sK9(sK43),nil) = sK43
| ~ spl51_19 ),
inference(resolution,[],[f670,f368]) ).
fof(f670,plain,
( singletonP(sK43)
| ~ spl51_19 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f704,plain,
( spl51_18
| ~ spl51_1
| ~ spl51_13
| spl51_20 ),
inference(avatar_split_clause,[],[f699,f672,f637,f577,f663]) ).
fof(f699,plain,
( ~ ssList(sK42)
| ~ ssList(nil)
| nil = sK42
| spl51_20 ),
inference(resolution,[],[f463,f674]) ).
fof(f463,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f299]) ).
fof(f299,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ( ( X0 != X1
| ~ neq(X0,X1) )
& ( neq(X0,X1)
| X0 = X1 ) )
| ~ ssList(X1) ) ),
inference(nnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ( X0 != X1
<=> neq(X0,X1) )
| ~ ssList(X1) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( X0 != X1
<=> neq(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f698,plain,
( spl51_18
| ~ spl51_22
| ~ spl51_23
| spl51_20 ),
inference(avatar_split_clause,[],[f685,f672,f695,f691,f663]) ).
fof(f691,plain,
( spl51_22
<=> ssItem(sK42) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_22])]) ).
fof(f695,plain,
( spl51_23
<=> ssItem(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_23])]) ).
fof(f685,plain,
( ~ ssItem(nil)
| ~ ssItem(sK42)
| nil = sK42
| spl51_20 ),
inference(resolution,[],[f439,f674]) ).
fof(f439,plain,
! [X0,X1] :
( neq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f287]) ).
fof(f287,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssItem(X1) ) ),
inference(nnf_transformation,[],[f220]) ).
fof(f220,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssItem(X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f680,plain,
spl51_21,
inference(avatar_split_clause,[],[f495,f677]) ).
fof(f677,plain,
( spl51_21
<=> cyclefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_21])]) ).
fof(f495,plain,
cyclefreeP(nil),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax60) ).
fof(f675,plain,
( spl51_19
| ~ spl51_20 ),
inference(avatar_split_clause,[],[f541,f672,f668]) ).
fof(f541,plain,
( ~ neq(sK42,nil)
| singletonP(sK43) ),
inference(definition_unfolding,[],[f511,f514]) ).
fof(f514,plain,
sK44 = sK42,
inference(cnf_transformation,[],[f325]) ).
fof(f511,plain,
( ~ neq(sK44,nil)
| singletonP(sK43) ),
inference(cnf_transformation,[],[f325]) ).
fof(f666,plain,
( ~ spl51_17
| ~ spl51_18 ),
inference(avatar_split_clause,[],[f539,f663,f659]) ).
fof(f539,plain,
( nil != sK42
| nil != sK43 ),
inference(definition_unfolding,[],[f513,f517]) ).
fof(f513,plain,
( nil != sK42
| nil != sK41 ),
inference(cnf_transformation,[],[f325]) ).
fof(f657,plain,
spl51_13,
inference(avatar_split_clause,[],[f510,f637]) ).
fof(f510,plain,
ssList(sK42),
inference(cnf_transformation,[],[f325]) ).
fof(f656,plain,
spl51_16,
inference(avatar_split_clause,[],[f416,f653]) ).
fof(f653,plain,
( spl51_16
<=> totalorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_16])]) ).
fof(f416,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax66) ).
fof(f651,plain,
spl51_15,
inference(avatar_split_clause,[],[f521,f648]) ).
fof(f648,plain,
( spl51_15
<=> totalorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_15])]) ).
fof(f521,plain,
totalorderP(nil),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
totalorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax62) ).
fof(f646,plain,
spl51_5,
inference(avatar_split_clause,[],[f366,f597]) ).
fof(f597,plain,
( spl51_5
<=> ! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_5])]) ).
fof(f366,plain,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( ssItem(X0)
=> strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax68) ).
fof(f645,plain,
spl51_14,
inference(avatar_split_clause,[],[f443,f642]) ).
fof(f642,plain,
( spl51_14
<=> strictorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_14])]) ).
fof(f443,plain,
strictorderP(nil),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
strictorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax64) ).
fof(f640,plain,
spl51_13,
inference(avatar_split_clause,[],[f538,f637]) ).
fof(f538,plain,
ssList(sK42),
inference(definition_unfolding,[],[f515,f514]) ).
fof(f515,plain,
ssList(sK44),
inference(cnf_transformation,[],[f325]) ).
fof(f635,plain,
spl51_12,
inference(avatar_split_clause,[],[f459,f632]) ).
fof(f632,plain,
( spl51_12
<=> ssItem(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_12])]) ).
fof(f459,plain,
ssItem(sK29),
inference(cnf_transformation,[],[f298]) ).
fof(f298,plain,
( ssItem(sK29)
& sK29 != sK30
& ssItem(sK30) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29,sK30])],[f2,f297,f296]) ).
fof(f296,plain,
( ? [X0] :
( ssItem(X0)
& ? [X1] :
( X0 != X1
& ssItem(X1) ) )
=> ( ssItem(sK29)
& ? [X1] :
( sK29 != X1
& ssItem(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f297,plain,
( ? [X1] :
( sK29 != X1
& ssItem(X1) )
=> ( sK29 != sK30
& ssItem(sK30) ) ),
introduced(choice_axiom,[]) ).
fof(f2,axiom,
? [X0] :
( ssItem(X0)
& ? [X1] :
( X0 != X1
& ssItem(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f630,plain,
spl51_11,
inference(avatar_split_clause,[],[f401,f627]) ).
fof(f627,plain,
( spl51_11
<=> equalelemsP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_11])]) ).
fof(f401,plain,
equalelemsP(nil),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax74) ).
fof(f625,plain,
spl51_10,
inference(avatar_split_clause,[],[f457,f622]) ).
fof(f622,plain,
( spl51_10
<=> ssItem(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_10])]) ).
fof(f457,plain,
ssItem(sK30),
inference(cnf_transformation,[],[f298]) ).
fof(f620,plain,
~ spl51_9,
inference(avatar_split_clause,[],[f458,f617]) ).
fof(f617,plain,
( spl51_9
<=> sK29 = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_9])]) ).
fof(f458,plain,
sK29 != sK30,
inference(cnf_transformation,[],[f298]) ).
fof(f615,plain,
spl51_4,
inference(avatar_split_clause,[],[f518,f592]) ).
fof(f518,plain,
ssList(sK43),
inference(cnf_transformation,[],[f325]) ).
fof(f614,plain,
spl51_8,
inference(avatar_split_clause,[],[f540,f611]) ).
fof(f540,plain,
segmentP(sK42,sK43),
inference(definition_unfolding,[],[f512,f514]) ).
fof(f512,plain,
segmentP(sK44,sK43),
inference(cnf_transformation,[],[f325]) ).
fof(f609,plain,
spl51_7,
inference(avatar_split_clause,[],[f417,f606]) ).
fof(f606,plain,
( spl51_7
<=> strictorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_7])]) ).
fof(f417,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax69) ).
fof(f604,plain,
~ spl51_6,
inference(avatar_split_clause,[],[f497,f601]) ).
fof(f601,plain,
( spl51_6
<=> singletonP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_6])]) ).
fof(f497,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax39) ).
fof(f599,plain,
( spl51_5
| ~ spl51_1 ),
inference(avatar_split_clause,[],[f564,f577,f597]) ).
fof(f564,plain,
! [X0] :
( ~ ssList(nil)
| strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(equality_resolution,[],[f491]) ).
fof(f491,plain,
! [X0,X1] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,X1))
| nil != X1
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f317]) ).
fof(f317,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ( ( nil = X1
| ( nil != X1
& lt(X0,hd(X1))
& strictorderedP(X1) )
| ~ strictorderedP(cons(X0,X1)) )
& ( strictorderedP(cons(X0,X1))
| ( nil != X1
& ( nil = X1
| ~ lt(X0,hd(X1))
| ~ strictorderedP(X1) ) ) ) )
| ~ ssList(X1) ) ),
inference(flattening,[],[f316]) ).
fof(f316,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ( ( nil = X1
| ( nil != X1
& lt(X0,hd(X1))
& strictorderedP(X1) )
| ~ strictorderedP(cons(X0,X1)) )
& ( strictorderedP(cons(X0,X1))
| ( nil != X1
& ( nil = X1
| ~ lt(X0,hd(X1))
| ~ strictorderedP(X1) ) ) ) )
| ~ ssList(X1) ) ),
inference(nnf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ( ( nil = X1
| ( nil != X1
& lt(X0,hd(X1))
& strictorderedP(X1) ) )
<=> strictorderedP(cons(X0,X1)) )
| ~ ssList(X1) ) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( nil = X1
| ( nil != X1
& lt(X0,hd(X1))
& strictorderedP(X1) ) )
<=> strictorderedP(cons(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax70) ).
fof(f595,plain,
spl51_4,
inference(avatar_split_clause,[],[f536,f592]) ).
fof(f536,plain,
ssList(sK43),
inference(definition_unfolding,[],[f519,f517]) ).
fof(f519,plain,
ssList(sK41),
inference(cnf_transformation,[],[f325]) ).
fof(f590,plain,
( ~ spl51_1
| spl51_3 ),
inference(avatar_split_clause,[],[f565,f587,f577]) ).
fof(f587,plain,
( spl51_3
<=> rearsegP(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_3])]) ).
fof(f565,plain,
( rearsegP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f500]) ).
fof(f500,plain,
! [X0] :
( ~ ssList(X0)
| rearsegP(nil,X0)
| nil != X0 ),
inference(cnf_transformation,[],[f318]) ).
fof(f318,plain,
! [X0] :
( ~ ssList(X0)
| ( ( nil = X0
| ~ rearsegP(nil,X0) )
& ( rearsegP(nil,X0)
| nil != X0 ) ) ),
inference(nnf_transformation,[],[f193]) ).
fof(f193,plain,
! [X0] :
( ~ ssList(X0)
| ( nil = X0
<=> rearsegP(nil,X0) ) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0] :
( ssList(X0)
=> ( nil = X0
<=> rearsegP(nil,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax52) ).
fof(f585,plain,
spl51_2,
inference(avatar_split_clause,[],[f418,f582]) ).
fof(f582,plain,
( spl51_2
<=> duplicatefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_2])]) ).
fof(f418,plain,
duplicatefreeP(nil),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax72) ).
fof(f580,plain,
spl51_1,
inference(avatar_split_clause,[],[f437,f577]) ).
fof(f437,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC388+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 18:55:00 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.23/0.53 % (29099)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.23/0.53 % (29114)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.23/0.54 % (29117)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.39/0.54 % (29106)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.39/0.54 % (29099)Instruction limit reached!
% 1.39/0.54 % (29099)------------------------------
% 1.39/0.54 % (29099)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.54 % (29099)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.54 % (29099)Termination reason: Unknown
% 1.39/0.54 % (29099)Termination phase: Property scanning
% 1.39/0.54
% 1.39/0.54 % (29099)Memory used [KB]: 1279
% 1.39/0.54 % (29099)Time elapsed: 0.009 s
% 1.39/0.54 % (29099)Instructions burned: 7 (million)
% 1.39/0.54 % (29099)------------------------------
% 1.39/0.54 % (29099)------------------------------
% 1.39/0.55 % (29092)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.39/0.55 % (29096)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.39/0.55 % (29098)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.39/0.55 % (29100)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.39/0.55 % (29100)Instruction limit reached!
% 1.39/0.55 % (29100)------------------------------
% 1.39/0.55 % (29100)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.55 % (29100)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.55 % (29100)Termination reason: Unknown
% 1.39/0.55 % (29100)Termination phase: Preprocessing 2
% 1.39/0.55
% 1.39/0.55 % (29100)Memory used [KB]: 1023
% 1.39/0.55 % (29100)Time elapsed: 0.002 s
% 1.39/0.55 % (29100)Instructions burned: 2 (million)
% 1.39/0.55 % (29100)------------------------------
% 1.39/0.55 % (29100)------------------------------
% 1.39/0.56 % (29116)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.39/0.56 % (29113)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.39/0.57 % (29112)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.39/0.57 % (29093)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.39/0.57 % (29094)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.39/0.57 % (29097)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.39/0.58 % (29101)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.39/0.58 % (29120)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.39/0.58 % (29121)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.39/0.58 % (29118)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.39/0.58 TRYING [1]
% 1.39/0.59 % (29104)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.39/0.59 % (29108)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.39/0.59 % (29105)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.39/0.59 % (29107)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.39/0.59 % (29102)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.39/0.59 % (29111)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.39/0.59 % (29110)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.39/0.60 TRYING [1]
% 1.39/0.60 TRYING [2]
% 1.39/0.60 % (29119)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.39/0.61 % (29103)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.39/0.61 TRYING [2]
% 1.39/0.61 % (29093)Refutation not found, incomplete strategy% (29093)------------------------------
% 1.39/0.61 % (29093)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.61 % (29095)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.39/0.61 % (29093)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.61 % (29093)Termination reason: Refutation not found, incomplete strategy
% 1.39/0.61
% 1.39/0.61 % (29093)Memory used [KB]: 6012
% 1.39/0.61 % (29093)Time elapsed: 0.159 s
% 1.39/0.61 % (29093)Instructions burned: 19 (million)
% 1.39/0.61 % (29093)------------------------------
% 1.39/0.61 % (29093)------------------------------
% 1.39/0.62 % (29109)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.39/0.63 TRYING [3]
% 2.05/0.64 TRYING [3]
% 2.05/0.64 % (29098)Instruction limit reached!
% 2.05/0.64 % (29098)------------------------------
% 2.05/0.64 % (29098)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.64 % (29098)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.64 % (29098)Termination reason: Unknown
% 2.05/0.64 % (29098)Termination phase: Finite model building constraint generation
% 2.05/0.64
% 2.05/0.64 % (29098)Memory used [KB]: 7547
% 2.05/0.64 % (29098)Time elapsed: 0.189 s
% 2.05/0.64 % (29098)Instructions burned: 52 (million)
% 2.05/0.64 % (29098)------------------------------
% 2.05/0.64 % (29098)------------------------------
% 2.05/0.64 % (29115)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 2.05/0.65 % (29094)Instruction limit reached!
% 2.05/0.65 % (29094)------------------------------
% 2.05/0.65 % (29094)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.65 % (29094)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.65 % (29094)Termination reason: Unknown
% 2.05/0.65 % (29094)Termination phase: Saturation
% 2.05/0.65
% 2.05/0.65 % (29094)Memory used [KB]: 1663
% 2.05/0.65 % (29094)Time elapsed: 0.209 s
% 2.05/0.65 % (29094)Instructions burned: 38 (million)
% 2.05/0.65 % (29094)------------------------------
% 2.05/0.65 % (29094)------------------------------
% 2.05/0.66 % (29096)Instruction limit reached!
% 2.05/0.66 % (29096)------------------------------
% 2.05/0.66 % (29096)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.66 % (29096)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.66 % (29096)Termination reason: Unknown
% 2.05/0.66 % (29096)Termination phase: Saturation
% 2.05/0.66
% 2.05/0.66 % (29096)Memory used [KB]: 6652
% 2.05/0.66 % (29096)Time elapsed: 0.240 s
% 2.05/0.66 % (29096)Instructions burned: 52 (million)
% 2.05/0.66 % (29096)------------------------------
% 2.05/0.66 % (29096)------------------------------
% 2.05/0.66 % (29097)Instruction limit reached!
% 2.05/0.66 % (29097)------------------------------
% 2.05/0.66 % (29097)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.66 % (29097)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.66 % (29097)Termination reason: Unknown
% 2.05/0.66 % (29097)Termination phase: Saturation
% 2.05/0.66
% 2.05/0.66 % (29097)Memory used [KB]: 6396
% 2.05/0.66 % (29097)Time elapsed: 0.237 s
% 2.05/0.66 % (29097)Instructions burned: 48 (million)
% 2.05/0.66 % (29097)------------------------------
% 2.05/0.66 % (29097)------------------------------
% 2.05/0.67 % (29101)Instruction limit reached!
% 2.05/0.67 % (29101)------------------------------
% 2.05/0.67 % (29101)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.67 % (29101)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.67 % (29101)Termination reason: Unknown
% 2.05/0.67 % (29101)Termination phase: Saturation
% 2.05/0.67
% 2.05/0.67 % (29101)Memory used [KB]: 2302
% 2.05/0.67 % (29101)Time elapsed: 0.234 s
% 2.05/0.67 % (29101)Instructions burned: 53 (million)
% 2.05/0.67 % (29101)------------------------------
% 2.05/0.67 % (29101)------------------------------
% 2.05/0.68 % (29106)Instruction limit reached!
% 2.05/0.68 % (29106)------------------------------
% 2.05/0.68 % (29106)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.68 % (29106)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.68 % (29106)Termination reason: Unknown
% 2.05/0.68 % (29106)Termination phase: Saturation
% 2.05/0.68
% 2.05/0.68 % (29106)Memory used [KB]: 7036
% 2.05/0.68 % (29106)Time elapsed: 0.077 s
% 2.05/0.68 % (29106)Instructions burned: 68 (million)
% 2.05/0.68 % (29106)------------------------------
% 2.05/0.68 % (29106)------------------------------
% 2.48/0.70 TRYING [1]
% 2.48/0.70 % (29102)Instruction limit reached!
% 2.48/0.70 % (29102)------------------------------
% 2.48/0.70 % (29102)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.48/0.70 % (29102)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.48/0.70 % (29102)Termination reason: Unknown
% 2.48/0.70 % (29102)Termination phase: Saturation
% 2.48/0.70
% 2.48/0.70 % (29102)Memory used [KB]: 6524
% 2.48/0.70 % (29102)Time elapsed: 0.276 s
% 2.48/0.70 % (29102)Instructions burned: 51 (million)
% 2.48/0.70 % (29102)------------------------------
% 2.48/0.70 % (29102)------------------------------
% 2.48/0.70 TRYING [2]
% 2.48/0.71 % (29123)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.48/0.71 % (29118)Instruction limit reached!
% 2.48/0.71 % (29118)------------------------------
% 2.48/0.71 % (29118)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.48/0.71 % (29118)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.48/0.71 % (29118)Termination reason: Unknown
% 2.48/0.71 % (29118)Termination phase: Saturation
% 2.48/0.71
% 2.48/0.71 % (29118)Memory used [KB]: 7036
% 2.48/0.71 % (29118)Time elapsed: 0.042 s
% 2.48/0.71 % (29118)Instructions burned: 68 (million)
% 2.48/0.71 % (29118)------------------------------
% 2.48/0.71 % (29118)------------------------------
% 2.48/0.71 % (29124)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.48/0.73 % (29107)Instruction limit reached!
% 2.48/0.73 % (29107)------------------------------
% 2.48/0.73 % (29107)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.48/0.73 % (29107)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.48/0.73 % (29107)Termination reason: Unknown
% 2.48/0.73 % (29107)Termination phase: Saturation
% 2.48/0.73
% 2.48/0.73 % (29107)Memory used [KB]: 2430
% 2.48/0.73 % (29107)Time elapsed: 0.303 s
% 2.48/0.73 % (29107)Instructions burned: 75 (million)
% 2.48/0.73 % (29107)------------------------------
% 2.48/0.73 % (29107)------------------------------
% 2.48/0.74 % (29095)Instruction limit reached!
% 2.48/0.74 % (29095)------------------------------
% 2.48/0.74 % (29095)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.48/0.74 % (29095)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.48/0.74 % (29095)Termination reason: Unknown
% 2.48/0.74 % (29095)Termination phase: Saturation
% 2.48/0.74
% 2.48/0.74 % (29095)Memory used [KB]: 6652
% 2.48/0.74 % (29095)Time elapsed: 0.315 s
% 2.48/0.74 % (29095)Instructions burned: 52 (million)
% 2.48/0.74 % (29095)------------------------------
% 2.48/0.74 % (29095)------------------------------
% 2.48/0.75 % (29109)Instruction limit reached!
% 2.48/0.75 % (29109)------------------------------
% 2.48/0.75 % (29109)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.48/0.75 % (29109)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.48/0.75 % (29109)Termination reason: Unknown
% 2.48/0.75 % (29109)Termination phase: Finite model building constraint generation
% 2.48/0.75
% 2.48/0.75 % (29109)Memory used [KB]: 7547
% 2.48/0.75 % (29109)Time elapsed: 0.289 s
% 2.48/0.75 % (29109)Instructions burned: 59 (million)
% 2.48/0.75 % (29109)------------------------------
% 2.48/0.75 % (29109)------------------------------
% 2.48/0.75 % (29105)Instruction limit reached!
% 2.48/0.75 % (29105)------------------------------
% 2.48/0.75 % (29105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.48/0.75 % (29105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.48/0.75 % (29105)Termination reason: Unknown
% 2.48/0.75 % (29105)Termination phase: Saturation
% 2.48/0.75
% 2.48/0.75 % (29105)Memory used [KB]: 7164
% 2.48/0.75 % (29105)Time elapsed: 0.331 s
% 2.48/0.75 % (29105)Instructions burned: 99 (million)
% 2.48/0.75 % (29105)------------------------------
% 2.48/0.75 % (29105)------------------------------
% 2.86/0.76 TRYING [4]
% 2.86/0.78 % (29111)Instruction limit reached!
% 2.86/0.78 % (29111)------------------------------
% 2.86/0.78 % (29111)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.86/0.78 % (29111)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.86/0.78 % (29111)Termination reason: Unknown
% 2.86/0.78 % (29111)Termination phase: Saturation
% 2.86/0.78
% 2.86/0.78 % (29111)Memory used [KB]: 2814
% 2.86/0.78 % (29111)Time elapsed: 0.321 s
% 2.86/0.78 % (29111)Instructions burned: 100 (million)
% 2.86/0.78 % (29111)------------------------------
% 2.86/0.78 % (29111)------------------------------
% 2.86/0.78 % (29113)Instruction limit reached!
% 2.86/0.78 % (29113)------------------------------
% 2.86/0.78 % (29113)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.86/0.78 % (29113)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.86/0.78 % (29113)Termination reason: Unknown
% 2.86/0.78 % (29113)Termination phase: Saturation
% 2.86/0.78
% 2.86/0.78 % (29113)Memory used [KB]: 7547
% 2.86/0.78 % (29113)Time elapsed: 0.333 s
% 2.86/0.78 % (29113)Instructions burned: 138 (million)
% 2.86/0.78 % (29113)------------------------------
% 2.86/0.78 % (29113)------------------------------
% 2.86/0.78 % (29125)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.86/0.80 % (29108)Instruction limit reached!
% 2.86/0.80 % (29108)------------------------------
% 2.86/0.80 % (29108)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.86/0.80 % (29108)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.86/0.80 % (29108)Termination reason: Unknown
% 2.86/0.80 % (29108)Termination phase: Saturation
% 2.86/0.80
% 2.86/0.80 % (29108)Memory used [KB]: 6908
% 2.86/0.80 % (29108)Time elapsed: 0.376 s
% 2.86/0.80 % (29108)Instructions burned: 99 (million)
% 2.86/0.80 % (29108)------------------------------
% 2.86/0.80 % (29108)------------------------------
% 2.86/0.80 % (29126)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 3.06/0.81 % (29128)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 3.06/0.81 % (29104)Instruction limit reached!
% 3.06/0.81 % (29104)------------------------------
% 3.06/0.81 % (29104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.06/0.81 % (29104)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.06/0.81 % (29104)Termination reason: Unknown
% 3.06/0.81 % (29104)Termination phase: Saturation
% 3.06/0.81
% 3.06/0.81 % (29104)Memory used [KB]: 7419
% 3.06/0.81 % (29104)Time elapsed: 0.392 s
% 3.06/0.81 % (29104)Instructions burned: 102 (million)
% 3.06/0.81 % (29104)------------------------------
% 3.06/0.81 % (29104)------------------------------
% 3.06/0.81 % (29110)Instruction limit reached!
% 3.06/0.81 % (29110)------------------------------
% 3.06/0.81 % (29110)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.06/0.81 % (29110)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.06/0.81 % (29110)Termination reason: Unknown
% 3.06/0.81 % (29110)Termination phase: Saturation
% 3.06/0.81
% 3.06/0.81 % (29110)Memory used [KB]: 7419
% 3.06/0.81 % (29110)Time elapsed: 0.375 s
% 3.06/0.81 % (29110)Instructions burned: 101 (million)
% 3.06/0.81 % (29110)------------------------------
% 3.06/0.81 % (29110)------------------------------
% 3.06/0.82 % (29127)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 3.06/0.82 % (29131)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 3.06/0.82 % (29129)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 3.06/0.82 % (29130)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 3.06/0.83 % (29103)Instruction limit reached!
% 3.06/0.83 % (29103)------------------------------
% 3.06/0.83 % (29103)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.06/0.83 % (29103)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.06/0.83 % (29103)Termination reason: Unknown
% 3.06/0.83 % (29103)Termination phase: Saturation
% 3.06/0.83
% 3.06/0.83 % (29103)Memory used [KB]: 7547
% 3.06/0.83 % (29103)Time elapsed: 0.394 s
% 3.06/0.83 % (29103)Instructions burned: 100 (million)
% 3.06/0.83 % (29103)------------------------------
% 3.06/0.83 % (29103)------------------------------
% 3.18/0.85 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.18/0.85 % (29132)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 3.18/0.87 % (29135)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 3.18/0.87 % (29133)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 3.18/0.89 % (29134)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 3.18/0.91 % (29139)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4931Mi)
% 3.18/0.91 % (29136)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 3.18/0.91 % (29137)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 3.18/0.93 % (29112)Instruction limit reached!
% 3.18/0.93 % (29112)------------------------------
% 3.18/0.93 % (29112)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.93 % (29112)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.93 % (29112)Termination reason: Unknown
% 3.18/0.93 % (29112)Termination phase: Saturation
% 3.18/0.93
% 3.18/0.93 % (29112)Memory used [KB]: 7036
% 3.18/0.93 % (29112)Time elapsed: 0.512 s
% 3.18/0.93 % (29112)Instructions burned: 177 (million)
% 3.18/0.93 % (29112)------------------------------
% 3.18/0.93 % (29112)------------------------------
% 3.42/0.93 % (29138)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 3.42/0.94 % (29119)Instruction limit reached!
% 3.42/0.94 % (29119)------------------------------
% 3.42/0.94 % (29119)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.42/0.94 % (29119)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.42/0.94 % (29119)Termination reason: Unknown
% 3.42/0.94 % (29119)Termination phase: Saturation
% 3.42/0.94
% 3.42/0.94 % (29119)Memory used [KB]: 3709
% 3.42/0.94 % (29119)Time elapsed: 0.523 s
% 3.42/0.94 % (29119)Instructions burned: 177 (million)
% 3.42/0.94 % (29119)------------------------------
% 3.42/0.94 % (29119)------------------------------
% 3.42/0.95 % (29140)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/68Mi)
% 3.42/0.96 % (29125)Instruction limit reached!
% 3.42/0.96 % (29125)------------------------------
% 3.42/0.96 % (29125)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.42/0.96 % (29125)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.42/0.96 % (29125)Termination reason: Unknown
% 3.42/0.96 % (29125)Termination phase: Saturation
% 3.42/0.96
% 3.42/0.96 % (29125)Memory used [KB]: 8059
% 3.42/0.96 % (29125)Time elapsed: 0.309 s
% 3.42/0.96 % (29125)Instructions burned: 91 (million)
% 3.42/0.96 % (29125)------------------------------
% 3.42/0.96 % (29125)------------------------------
% 3.42/0.97 % (29141)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1824Mi)
% 3.42/0.98 % (29142)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2134Mi)
% 3.42/0.99 % (29130)Instruction limit reached!
% 3.42/0.99 % (29130)------------------------------
% 3.42/0.99 % (29130)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.42/0.99 % (29130)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.42/0.99 % (29130)Termination reason: Unknown
% 3.42/0.99 % (29130)Termination phase: Saturation
% 3.42/0.99
% 3.42/0.99 % (29130)Memory used [KB]: 7036
% 3.42/0.99 % (29130)Time elapsed: 0.043 s
% 3.42/0.99 % (29130)Instructions burned: 69 (million)
% 3.42/0.99 % (29130)------------------------------
% 3.42/0.99 % (29130)------------------------------
% 3.69/1.03 % (29143)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.69/1.04 % (29145)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/90Mi)
% 5.53/1.09 % (29144)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4585Mi)
% 5.53/1.09 % (29133)Instruction limit reached!
% 5.53/1.09 % (29133)------------------------------
% 5.53/1.09 % (29133)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.53/1.09 % (29133)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.53/1.09 % (29133)Termination reason: Unknown
% 5.53/1.09 % (29133)Termination phase: Saturation
% 5.53/1.09
% 5.53/1.09 % (29133)Memory used [KB]: 7931
% 5.53/1.09 % (29133)Time elapsed: 0.334 s
% 5.53/1.09 % (29133)Instructions burned: 91 (million)
% 5.53/1.09 % (29133)------------------------------
% 5.53/1.09 % (29133)------------------------------
% 5.53/1.10 % (29140)Instruction limit reached!
% 5.53/1.10 % (29140)------------------------------
% 5.53/1.10 % (29140)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.53/1.11 % (29146)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2016Mi)
% 5.53/1.12 % (29140)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.53/1.12 % (29140)Termination reason: Unknown
% 5.53/1.12 % (29140)Termination phase: Saturation
% 5.53/1.12
% 5.53/1.12 % (29140)Memory used [KB]: 7036
% 5.53/1.12 % (29140)Time elapsed: 0.038 s
% 5.53/1.12 % (29140)Instructions burned: 68 (million)
% 5.53/1.12 % (29140)------------------------------
% 5.53/1.12 % (29140)------------------------------
% 5.84/1.12 % (29147)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/8004Mi)
% 5.84/1.13 TRYING [5]
% 5.84/1.13 % (29124)Instruction limit reached!
% 5.84/1.13 % (29124)------------------------------
% 5.84/1.13 % (29124)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.84/1.13 % (29124)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.84/1.13 % (29124)Termination reason: Unknown
% 5.84/1.13 % (29124)Termination phase: Saturation
% 5.84/1.13
% 5.84/1.13 % (29124)Memory used [KB]: 4861
% 5.84/1.13 % (29124)Time elapsed: 0.526 s
% 5.84/1.13 % (29124)Instructions burned: 213 (million)
% 5.84/1.13 % (29124)------------------------------
% 5.84/1.13 % (29124)------------------------------
% 6.21/1.18 % (29145)Instruction limit reached!
% 6.21/1.18 % (29145)------------------------------
% 6.21/1.18 % (29145)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.21/1.19 % (29145)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.21/1.19 % (29145)Termination reason: Unknown
% 6.21/1.19 % (29145)Termination phase: Saturation
% 6.21/1.19
% 6.21/1.19 % (29145)Memory used [KB]: 7547
% 6.21/1.19 % (29145)Time elapsed: 0.195 s
% 6.21/1.19 % (29145)Instructions burned: 90 (million)
% 6.21/1.19 % (29145)------------------------------
% 6.21/1.19 % (29145)------------------------------
% 6.21/1.23 % (29148)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9965Mi)
% 6.74/1.26 % (29149)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9877Mi)
% 7.06/1.29 % (29121)Instruction limit reached!
% 7.06/1.29 % (29121)------------------------------
% 7.06/1.29 % (29121)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.06/1.29 % (29121)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.06/1.29 % (29121)Termination reason: Unknown
% 7.06/1.29 % (29121)Termination phase: Saturation
% 7.06/1.29
% 7.06/1.29 % (29121)Memory used [KB]: 11769
% 7.06/1.29 % (29121)Time elapsed: 0.830 s
% 7.06/1.29 % (29121)Instructions burned: 356 (million)
% 7.06/1.29 % (29121)------------------------------
% 7.06/1.29 % (29121)------------------------------
% 7.06/1.32 % (29150)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9902Mi)
% 7.48/1.35 % (29151)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/1824Mi)
% 8.03/1.45 % (29116)Instruction limit reached!
% 8.03/1.45 % (29116)------------------------------
% 8.03/1.45 % (29116)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.27/1.46 % (29116)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.27/1.46 % (29116)Termination reason: Unknown
% 8.27/1.46 % (29116)Termination phase: Saturation
% 8.27/1.46
% 8.27/1.46 % (29116)Memory used [KB]: 12025
% 8.27/1.46 % (29116)Time elapsed: 1.009 s
% 8.27/1.46 % (29116)Instructions burned: 483 (million)
% 8.27/1.46 % (29116)------------------------------
% 8.27/1.46 % (29116)------------------------------
% 8.27/1.46 % (29114)Instruction limit reached!
% 8.27/1.46 % (29114)------------------------------
% 8.27/1.46 % (29114)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.27/1.46 % (29114)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.27/1.46 % (29114)Termination reason: Unknown
% 8.27/1.46 % (29114)Termination phase: Saturation
% 8.27/1.46
% 8.27/1.46 % (29114)Memory used [KB]: 4605
% 8.27/1.46 % (29114)Time elapsed: 0.990 s
% 8.27/1.46 % (29114)Instructions burned: 499 (million)
% 8.27/1.46 % (29114)------------------------------
% 8.27/1.46 % (29114)------------------------------
% 8.27/1.46 % (29123)Instruction limit reached!
% 8.27/1.46 % (29123)------------------------------
% 8.27/1.46 % (29123)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.27/1.47 % (29123)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.27/1.47 % (29123)Termination reason: Unknown
% 8.27/1.47 % (29123)Termination phase: Saturation
% 8.27/1.47
% 8.27/1.47 % (29123)Memory used [KB]: 9466
% 8.27/1.47 % (29123)Time elapsed: 0.869 s
% 8.27/1.47 % (29123)Instructions burned: 389 (million)
% 8.27/1.47 % (29123)------------------------------
% 8.27/1.47 % (29123)------------------------------
% 8.27/1.48 % (29152)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9989Mi)
% 8.27/1.51 % (29115)Instruction limit reached!
% 8.27/1.51 % (29115)------------------------------
% 8.27/1.51 % (29115)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.27/1.51 % (29115)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.27/1.51 % (29115)Termination reason: Unknown
% 8.27/1.51 % (29115)Termination phase: Saturation
% 8.27/1.51
% 8.27/1.51 % (29115)Memory used [KB]: 10490
% 8.27/1.51 % (29115)Time elapsed: 1.085 s
% 8.27/1.51 % (29115)Instructions burned: 467 (million)
% 8.27/1.51 % (29115)------------------------------
% 8.27/1.51 % (29115)------------------------------
% 8.27/1.52 % (29117)Instruction limit reached!
% 8.27/1.52 % (29117)------------------------------
% 8.27/1.52 % (29117)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.27/1.52 % (29117)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.27/1.52 % (29117)Termination reason: Unknown
% 8.27/1.52 % (29117)Termination phase: Saturation
% 8.27/1.52
% 8.27/1.52 % (29117)Memory used [KB]: 12537
% 8.27/1.52 % (29117)Time elapsed: 1.042 s
% 8.27/1.52 % (29117)Instructions burned: 500 (million)
% 8.27/1.52 % (29117)------------------------------
% 8.27/1.52 % (29117)------------------------------
% 8.77/1.54 % (29120)Instruction limit reached!
% 8.77/1.54 % (29120)------------------------------
% 8.77/1.54 % (29120)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.77/1.54 % (29120)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.77/1.54 % (29120)Termination reason: Unknown
% 8.77/1.54 % (29120)Termination phase: Saturation
% 8.77/1.54
% 8.77/1.54 % (29120)Memory used [KB]: 10490
% 8.77/1.54 % (29120)Time elapsed: 1.100 s
% 8.77/1.54 % (29120)Instructions burned: 439 (million)
% 8.77/1.54 % (29120)------------------------------
% 8.77/1.54 % (29120)------------------------------
% 8.77/1.56 % (29153)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/9707Mi)
% 8.77/1.57 % (29155)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/44001Mi)
% 8.99/1.61 % (29154)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/90Mi)
% 8.99/1.64 % (29156)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/4958Mi)
% 8.99/1.64 % (29157)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/35256Mi)
% 10.30/1.71 % (29158)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/32293Mi)
% 10.94/1.77 % (29154)Instruction limit reached!
% 10.94/1.77 % (29154)------------------------------
% 10.94/1.77 % (29154)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.94/1.77 % (29154)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.94/1.77 % (29154)Termination reason: Unknown
% 10.94/1.77 % (29154)Termination phase: Saturation
% 10.94/1.77
% 10.94/1.77 % (29154)Memory used [KB]: 8315
% 10.94/1.77 % (29154)Time elapsed: 0.273 s
% 10.94/1.77 % (29154)Instructions burned: 91 (million)
% 10.94/1.77 % (29154)------------------------------
% 10.94/1.77 % (29154)------------------------------
% 11.84/1.93 TRYING [6]
% 11.84/1.93 % (29159)ott+21_1:28_afr=on:anc=all_dependent:bs=on:bsr=unit_only:nicw=on:sp=const_frequency:uhcvi=on:i=37001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/37001Mi)
% 11.84/1.94 % (29129)Instruction limit reached!
% 11.84/1.94 % (29129)------------------------------
% 11.84/1.94 % (29129)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.84/1.94 % (29129)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.84/1.94 % (29129)Termination reason: Unknown
% 11.84/1.94 % (29129)Termination phase: Saturation
% 11.84/1.94
% 11.84/1.94 % (29129)Memory used [KB]: 5117
% 11.84/1.94 % (29129)Time elapsed: 1.250 s
% 11.84/1.94 % (29129)Instructions burned: 655 (million)
% 11.84/1.94 % (29129)------------------------------
% 11.84/1.94 % (29129)------------------------------
% 13.05/2.04 % (29160)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=10187:si=on:rawr=on:rtra=on_0 on theBenchmark for (2984ds/10187Mi)
% 13.73/2.16 % (29128)Instruction limit reached!
% 13.73/2.16 % (29128)------------------------------
% 13.73/2.16 % (29128)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.73/2.16 % (29128)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.73/2.16 % (29128)Termination reason: Unknown
% 13.73/2.16 % (29128)Termination phase: Saturation
% 13.73/2.16
% 13.73/2.16 % (29128)Memory used [KB]: 16886
% 13.73/2.16 % (29128)Time elapsed: 1.452 s
% 13.73/2.16 % (29128)Instructions burned: 749 (million)
% 13.73/2.16 % (29128)------------------------------
% 13.73/2.16 % (29128)------------------------------
% 14.91/2.26 % (29136)First to succeed.
% 15.14/2.31 % (29136)Refutation found. Thanks to Tanya!
% 15.14/2.31 % SZS status Theorem for theBenchmark
% 15.14/2.31 % SZS output start Proof for theBenchmark
% See solution above
% 15.14/2.32 % (29136)------------------------------
% 15.14/2.32 % (29136)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.14/2.32 % (29136)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.14/2.32 % (29136)Termination reason: Refutation
% 15.14/2.32
% 15.14/2.32 % (29136)Memory used [KB]: 3070
% 15.14/2.32 % (29136)Time elapsed: 1.504 s
% 15.14/2.32 % (29136)Instructions burned: 985 (million)
% 15.14/2.32 % (29136)------------------------------
% 15.14/2.32 % (29136)------------------------------
% 15.14/2.32 % (29091)Success in time 1.958 s
%------------------------------------------------------------------------------