TSTP Solution File: SWC231+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC231+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 : n022.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 18:42:33 EDT 2022
% Result : Theorem 16.98s 2.52s
% Output : Refutation 16.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 252
% Syntax : Number of formulae : 1052 ( 49 unt; 0 def)
% Number of atoms : 4112 ( 717 equ)
% Maximal formula atoms : 52 ( 3 avg)
% Number of connectives : 5534 (2474 ~;2507 |; 262 &)
% ( 218 <=>; 73 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 224 ( 222 usr; 209 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-3 aty)
% Number of variables : 736 ( 630 !; 106 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2915,plain,
$false,
inference(avatar_smt_refutation,[],[f593,f598,f603,f608,f617,f622,f626,f627,f632,f641,f646,f647,f652,f657,f662,f663,f669,f674,f675,f680,f685,f691,f696,f701,f709,f713,f723,f728,f733,f738,f743,f753,f758,f763,f768,f820,f829,f838,f847,f858,f864,f869,f902,f907,f909,f936,f941,f950,f952,f956,f963,f967,f999,f1004,f1008,f1021,f1037,f1044,f1051,f1056,f1061,f1072,f1085,f1096,f1106,f1111,f1120,f1121,f1143,f1150,f1155,f1160,f1200,f1208,f1209,f1217,f1218,f1227,f1229,f1230,f1234,f1245,f1272,f1276,f1280,f1281,f1302,f1305,f1313,f1318,f1338,f1353,f1358,f1363,f1373,f1378,f1399,f1407,f1431,f1436,f1437,f1444,f1451,f1480,f1486,f1491,f1507,f1508,f1513,f1517,f1518,f1522,f1523,f1528,f1541,f1577,f1581,f1585,f1586,f1587,f1592,f1596,f1600,f1605,f1612,f1616,f1625,f1627,f1631,f1633,f1639,f1644,f1666,f1676,f1706,f1711,f1717,f1718,f1719,f1721,f1765,f1774,f1779,f1782,f1783,f1784,f1786,f1787,f1790,f1792,f1794,f1829,f1836,f1879,f1880,f1885,f1887,f1889,f1911,f1912,f1913,f1917,f1918,f1922,f1923,f1931,f1935,f1954,f1955,f1990,f1996,f2013,f2018,f2022,f2023,f2024,f2029,f2034,f2038,f2040,f2041,f2042,f2100,f2104,f2108,f2140,f2153,f2160,f2165,f2169,f2181,f2182,f2186,f2190,f2191,f2192,f2209,f2213,f2218,f2219,f2238,f2242,f2246,f2251,f2259,f2260,f2262,f2263,f2264,f2265,f2268,f2269,f2270,f2272,f2310,f2321,f2322,f2323,f2336,f2339,f2341,f2343,f2345,f2346,f2348,f2349,f2356,f2391,f2392,f2403,f2420,f2426,f2429,f2452,f2459,f2464,f2469,f2496,f2501,f2506,f2511,f2530,f2535,f2540,f2545,f2559,f2564,f2595,f2598,f2642,f2658,f2663,f2667,f2671,f2687,f2694,f2698,f2724,f2728,f2732,f2738,f2749,f2753,f2759,f2773,f2779,f2785,f2796,f2797,f2798,f2802,f2803,f2826,f2896,f2902,f2906,f2913,f2914]) ).
fof(f2914,plain,
( ~ spl55_11
| ~ spl55_18
| ~ spl55_121
| ~ spl55_138 ),
inference(avatar_split_clause,[],[f2911,f1988,f1636,f677,f638]) ).
fof(f638,plain,
( spl55_11
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_11])]) ).
fof(f677,plain,
( spl55_18
<=> ssItem(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_18])]) ).
fof(f1636,plain,
( spl55_121
<=> sK4 = cons(sK6,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_121])]) ).
fof(f1988,plain,
( spl55_138
<=> ! [X0,X1] :
( cons(X0,X1) != sK4
| ~ ssItem(X0)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_138])]) ).
fof(f2911,plain,
( ~ ssItem(sK6)
| ~ ssList(nil)
| ~ spl55_121
| ~ spl55_138 ),
inference(trivial_inequality_removal,[],[f2909]) ).
fof(f2909,plain,
( ~ ssList(nil)
| sK4 != sK4
| ~ ssItem(sK6)
| ~ spl55_121
| ~ spl55_138 ),
inference(superposition,[],[f1989,f1638]) ).
fof(f1638,plain,
( sK4 = cons(sK6,nil)
| ~ spl55_121 ),
inference(avatar_component_clause,[],[f1636]) ).
fof(f1989,plain,
( ! [X0,X1] :
( cons(X0,X1) != sK4
| ~ ssItem(X0)
| ~ ssList(X1) )
| ~ spl55_138 ),
inference(avatar_component_clause,[],[f1988]) ).
fof(f2913,plain,
( ~ spl55_45
| ~ spl55_44
| ~ spl55_34
| ~ spl55_138 ),
inference(avatar_split_clause,[],[f2912,f1988,f817,f895,f899]) ).
fof(f899,plain,
( spl55_45
<=> ssItem(sK34(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_45])]) ).
fof(f895,plain,
( spl55_44
<=> ssList(sK33(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_44])]) ).
fof(f817,plain,
( spl55_34
<=> sK4 = cons(sK34(sK4),sK33(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_34])]) ).
fof(f2912,plain,
( ~ ssList(sK33(sK4))
| ~ ssItem(sK34(sK4))
| ~ spl55_34
| ~ spl55_138 ),
inference(trivial_inequality_removal,[],[f2910]) ).
fof(f2910,plain,
( sK4 != sK4
| ~ ssItem(sK34(sK4))
| ~ ssList(sK33(sK4))
| ~ spl55_34
| ~ spl55_138 ),
inference(superposition,[],[f1989,f819]) ).
fof(f819,plain,
( sK4 = cons(sK34(sK4),sK33(sK4))
| ~ spl55_34 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f2906,plain,
( ~ spl55_44
| spl55_208
| ~ spl55_51 ),
inference(avatar_split_clause,[],[f2898,f954,f2904,f895]) ).
fof(f2904,plain,
( spl55_208
<=> ! [X2,X3] :
( sK4 != app(app(X3,cons(X2,nil)),sK33(sK4))
| memberP(sK4,sK9(X2,X3,sK33(sK4)))
| ~ ssItem(X2)
| ~ ssItem(sK9(X2,X3,sK33(sK4)))
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_208])]) ).
fof(f954,plain,
( spl55_51
<=> ! [X0] :
( memberP(sK4,X0)
| ~ memberP(sK33(sK4),X0)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_51])]) ).
fof(f2898,plain,
( ! [X2,X3] :
( sK4 != app(app(X3,cons(X2,nil)),sK33(sK4))
| ~ ssList(X3)
| ~ ssItem(sK9(X2,X3,sK33(sK4)))
| ~ ssList(sK33(sK4))
| ~ ssItem(X2)
| memberP(sK4,sK9(X2,X3,sK33(sK4))) )
| ~ spl55_51 ),
inference(resolution,[],[f955,f552]) ).
fof(f552,plain,
! [X10,X8,X9] :
( memberP(X10,sK9(X8,X9,X10))
| app(app(X9,cons(X8,nil)),X10) != sK4
| ~ ssList(X9)
| ~ ssItem(X8)
| ~ ssList(X10) ),
inference(definition_unfolding,[],[f362,f368]) ).
fof(f368,plain,
sK2 = sK4,
inference(cnf_transformation,[],[f238]) ).
fof(f238,plain,
( ssList(sK3)
& ssList(sK5)
& ( nil = sK4
| ( ssItem(sK6)
& ssList(sK8)
& sK4 = app(app(sK7,cons(sK6,nil)),sK8)
& ! [X7] :
( ~ leq(sK6,X7)
| leq(X7,sK6)
| ~ ssItem(X7)
| ~ memberP(sK8,X7)
| ~ memberP(sK7,X7) )
& ssList(sK7) ) )
& sK2 = sK4
& nil != sK2
& sK3 = sK5
& ! [X8] :
( ! [X9] :
( ! [X10] :
( ~ ssList(X10)
| app(app(X9,cons(X8,nil)),X10) != sK2
| ( memberP(X9,sK9(X8,X9,X10))
& leq(X8,sK9(X8,X9,X10))
& ~ lt(X8,sK9(X8,X9,X10))
& memberP(X10,sK9(X8,X9,X10))
& ssItem(sK9(X8,X9,X10)) ) )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& ssList(sK4)
& ssList(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9])],[f144,f237,f236,f235,f234,f233,f232,f231,f230]) ).
fof(f230,plain,
( ? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ssList(X3)
& ( nil = X2
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ? [X6] :
( ssList(X6)
& app(app(X5,cons(X4,nil)),X6) = X2
& ! [X7] :
( ~ leq(X4,X7)
| leq(X7,X4)
| ~ ssItem(X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7) ) )
& ssList(X5) ) ) )
& X0 = X2
& nil != X0
& X1 = X3
& ! [X8] :
( ! [X9] :
( ! [X10] :
( ~ ssList(X10)
| app(app(X9,cons(X8,nil)),X10) != X0
| ? [X11] :
( memberP(X9,X11)
& leq(X8,X11)
& ~ lt(X8,X11)
& memberP(X10,X11)
& ssItem(X11) ) )
| ~ ssList(X9) )
| ~ ssItem(X8) ) )
& ssList(X2) ) )
& ssList(X0) )
=> ( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ssList(X3)
& ( nil = X2
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ? [X6] :
( ssList(X6)
& app(app(X5,cons(X4,nil)),X6) = X2
& ! [X7] :
( ~ leq(X4,X7)
| leq(X7,X4)
| ~ ssItem(X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7) ) )
& ssList(X5) ) ) )
& sK2 = X2
& nil != sK2
& X1 = X3
& ! [X8] :
( ! [X9] :
( ! [X10] :
( ~ ssList(X10)
| app(app(X9,cons(X8,nil)),X10) != sK2
| ? [X11] :
( memberP(X9,X11)
& leq(X8,X11)
& ~ lt(X8,X11)
& memberP(X10,X11)
& ssItem(X11) ) )
| ~ ssList(X9) )
| ~ ssItem(X8) ) )
& ssList(X2) ) )
& ssList(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f231,plain,
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ssList(X3)
& ( nil = X2
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ? [X6] :
( ssList(X6)
& app(app(X5,cons(X4,nil)),X6) = X2
& ! [X7] :
( ~ leq(X4,X7)
| leq(X7,X4)
| ~ ssItem(X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7) ) )
& ssList(X5) ) ) )
& sK2 = X2
& nil != sK2
& X1 = X3
& ! [X8] :
( ! [X9] :
( ! [X10] :
( ~ ssList(X10)
| app(app(X9,cons(X8,nil)),X10) != sK2
| ? [X11] :
( memberP(X9,X11)
& leq(X8,X11)
& ~ lt(X8,X11)
& memberP(X10,X11)
& ssItem(X11) ) )
| ~ ssList(X9) )
| ~ ssItem(X8) ) )
& ssList(X2) ) )
=> ( ssList(sK3)
& ? [X2] :
( ? [X3] :
( ssList(X3)
& ( nil = X2
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ? [X6] :
( ssList(X6)
& app(app(X5,cons(X4,nil)),X6) = X2
& ! [X7] :
( ~ leq(X4,X7)
| leq(X7,X4)
| ~ ssItem(X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7) ) )
& ssList(X5) ) ) )
& sK2 = X2
& nil != sK2
& sK3 = X3
& ! [X8] :
( ! [X9] :
( ! [X10] :
( ~ ssList(X10)
| app(app(X9,cons(X8,nil)),X10) != sK2
| ? [X11] :
( memberP(X9,X11)
& leq(X8,X11)
& ~ lt(X8,X11)
& memberP(X10,X11)
& ssItem(X11) ) )
| ~ ssList(X9) )
| ~ ssItem(X8) ) )
& ssList(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f232,plain,
( ? [X2] :
( ? [X3] :
( ssList(X3)
& ( nil = X2
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ? [X6] :
( ssList(X6)
& app(app(X5,cons(X4,nil)),X6) = X2
& ! [X7] :
( ~ leq(X4,X7)
| leq(X7,X4)
| ~ ssItem(X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7) ) )
& ssList(X5) ) ) )
& sK2 = X2
& nil != sK2
& sK3 = X3
& ! [X8] :
( ! [X9] :
( ! [X10] :
( ~ ssList(X10)
| app(app(X9,cons(X8,nil)),X10) != sK2
| ? [X11] :
( memberP(X9,X11)
& leq(X8,X11)
& ~ lt(X8,X11)
& memberP(X10,X11)
& ssItem(X11) ) )
| ~ ssList(X9) )
| ~ ssItem(X8) ) )
& ssList(X2) )
=> ( ? [X3] :
( ssList(X3)
& ( nil = sK4
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ? [X6] :
( ssList(X6)
& app(app(X5,cons(X4,nil)),X6) = sK4
& ! [X7] :
( ~ leq(X4,X7)
| leq(X7,X4)
| ~ ssItem(X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7) ) )
& ssList(X5) ) ) )
& sK2 = sK4
& nil != sK2
& sK3 = X3
& ! [X8] :
( ! [X9] :
( ! [X10] :
( ~ ssList(X10)
| app(app(X9,cons(X8,nil)),X10) != sK2
| ? [X11] :
( memberP(X9,X11)
& leq(X8,X11)
& ~ lt(X8,X11)
& memberP(X10,X11)
& ssItem(X11) ) )
| ~ ssList(X9) )
| ~ ssItem(X8) ) )
& ssList(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f233,plain,
( ? [X3] :
( ssList(X3)
& ( nil = sK4
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ? [X6] :
( ssList(X6)
& app(app(X5,cons(X4,nil)),X6) = sK4
& ! [X7] :
( ~ leq(X4,X7)
| leq(X7,X4)
| ~ ssItem(X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7) ) )
& ssList(X5) ) ) )
& sK2 = sK4
& nil != sK2
& sK3 = X3
& ! [X8] :
( ! [X9] :
( ! [X10] :
( ~ ssList(X10)
| app(app(X9,cons(X8,nil)),X10) != sK2
| ? [X11] :
( memberP(X9,X11)
& leq(X8,X11)
& ~ lt(X8,X11)
& memberP(X10,X11)
& ssItem(X11) ) )
| ~ ssList(X9) )
| ~ ssItem(X8) ) )
=> ( ssList(sK5)
& ( nil = sK4
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ? [X6] :
( ssList(X6)
& app(app(X5,cons(X4,nil)),X6) = sK4
& ! [X7] :
( ~ leq(X4,X7)
| leq(X7,X4)
| ~ ssItem(X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7) ) )
& ssList(X5) ) ) )
& sK2 = sK4
& nil != sK2
& sK3 = sK5
& ! [X8] :
( ! [X9] :
( ! [X10] :
( ~ ssList(X10)
| app(app(X9,cons(X8,nil)),X10) != sK2
| ? [X11] :
( memberP(X9,X11)
& leq(X8,X11)
& ~ lt(X8,X11)
& memberP(X10,X11)
& ssItem(X11) ) )
| ~ ssList(X9) )
| ~ ssItem(X8) ) ) ),
introduced(choice_axiom,[]) ).
fof(f234,plain,
( ? [X4] :
( ssItem(X4)
& ? [X5] :
( ? [X6] :
( ssList(X6)
& app(app(X5,cons(X4,nil)),X6) = sK4
& ! [X7] :
( ~ leq(X4,X7)
| leq(X7,X4)
| ~ ssItem(X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7) ) )
& ssList(X5) ) )
=> ( ssItem(sK6)
& ? [X5] :
( ? [X6] :
( ssList(X6)
& app(app(X5,cons(sK6,nil)),X6) = sK4
& ! [X7] :
( ~ leq(sK6,X7)
| leq(X7,sK6)
| ~ ssItem(X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7) ) )
& ssList(X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f235,plain,
( ? [X5] :
( ? [X6] :
( ssList(X6)
& app(app(X5,cons(sK6,nil)),X6) = sK4
& ! [X7] :
( ~ leq(sK6,X7)
| leq(X7,sK6)
| ~ ssItem(X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7) ) )
& ssList(X5) )
=> ( ? [X6] :
( ssList(X6)
& sK4 = app(app(sK7,cons(sK6,nil)),X6)
& ! [X7] :
( ~ leq(sK6,X7)
| leq(X7,sK6)
| ~ ssItem(X7)
| ~ memberP(X6,X7)
| ~ memberP(sK7,X7) ) )
& ssList(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f236,plain,
( ? [X6] :
( ssList(X6)
& sK4 = app(app(sK7,cons(sK6,nil)),X6)
& ! [X7] :
( ~ leq(sK6,X7)
| leq(X7,sK6)
| ~ ssItem(X7)
| ~ memberP(X6,X7)
| ~ memberP(sK7,X7) ) )
=> ( ssList(sK8)
& sK4 = app(app(sK7,cons(sK6,nil)),sK8)
& ! [X7] :
( ~ leq(sK6,X7)
| leq(X7,sK6)
| ~ ssItem(X7)
| ~ memberP(sK8,X7)
| ~ memberP(sK7,X7) ) ) ),
introduced(choice_axiom,[]) ).
fof(f237,plain,
! [X8,X9,X10] :
( ? [X11] :
( memberP(X9,X11)
& leq(X8,X11)
& ~ lt(X8,X11)
& memberP(X10,X11)
& ssItem(X11) )
=> ( memberP(X9,sK9(X8,X9,X10))
& leq(X8,sK9(X8,X9,X10))
& ~ lt(X8,sK9(X8,X9,X10))
& memberP(X10,sK9(X8,X9,X10))
& ssItem(sK9(X8,X9,X10)) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ssList(X3)
& ( nil = X2
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ? [X6] :
( ssList(X6)
& app(app(X5,cons(X4,nil)),X6) = X2
& ! [X7] :
( ~ leq(X4,X7)
| leq(X7,X4)
| ~ ssItem(X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7) ) )
& ssList(X5) ) ) )
& X0 = X2
& nil != X0
& X1 = X3
& ! [X8] :
( ! [X9] :
( ! [X10] :
( ~ ssList(X10)
| app(app(X9,cons(X8,nil)),X10) != X0
| ? [X11] :
( memberP(X9,X11)
& leq(X8,X11)
& ~ lt(X8,X11)
& memberP(X10,X11)
& ssItem(X11) ) )
| ~ ssList(X9) )
| ~ ssItem(X8) ) )
& ssList(X2) ) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( X0 != X2
| X1 != X3
| ~ ssList(X3)
| nil = X0
| ( nil != X2
& ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ? [X7] :
( memberP(X6,X7)
& memberP(X5,X7)
& ssItem(X7)
& ~ leq(X7,X4)
& leq(X4,X7) )
| ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != X2 ) ) ) )
| ? [X8] :
( ssItem(X8)
& ? [X9] :
( ? [X10] :
( ssList(X10)
& app(app(X9,cons(X8,nil)),X10) = X0
& ! [X11] :
( ~ memberP(X10,X11)
| ~ memberP(X9,X11)
| ~ leq(X8,X11)
| ~ ssItem(X11)
| lt(X8,X11) ) )
& ssList(X9) ) ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( X0 != X2
| ~ ssList(X3)
| ( nil != X2
& ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssList(X9)
=> ! [X10] :
( app(app(X9,cons(X8,nil)),X10) != X2
| ? [X11] :
( memberP(X10,X11)
& leq(X8,X11)
& memberP(X9,X11)
& ssItem(X11)
& ~ leq(X11,X8) )
| ~ ssList(X10) ) ) ) )
| ? [X4] :
( ? [X5] :
( ssList(X5)
& ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = X0
& ! [X7] :
( lt(X4,X7)
| ~ memberP(X6,X7)
| ~ ssItem(X7)
| ~ memberP(X5,X7)
| ~ leq(X4,X7) )
& ssList(X6) ) )
& ssItem(X4) )
| nil = X0
| X1 != X3 ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( X0 != X2
| ~ ssList(X3)
| ( nil != X2
& ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssList(X9)
=> ! [X10] :
( app(app(X9,cons(X8,nil)),X10) != X2
| ? [X11] :
( memberP(X10,X11)
& leq(X8,X11)
& memberP(X9,X11)
& ssItem(X11)
& ~ leq(X11,X8) )
| ~ ssList(X10) ) ) ) )
| ? [X4] :
( ? [X5] :
( ssList(X5)
& ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = X0
& ! [X7] :
( lt(X4,X7)
| ~ memberP(X6,X7)
| ~ ssItem(X7)
| ~ memberP(X5,X7)
| ~ leq(X4,X7) )
& ssList(X6) ) )
& ssItem(X4) )
| nil = X0
| X1 != X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f362,plain,
! [X10,X8,X9] :
( ~ ssList(X10)
| app(app(X9,cons(X8,nil)),X10) != sK2
| memberP(X10,sK9(X8,X9,X10))
| ~ ssList(X9)
| ~ ssItem(X8) ),
inference(cnf_transformation,[],[f238]) ).
fof(f955,plain,
( ! [X0] :
( ~ memberP(sK33(sK4),X0)
| memberP(sK4,X0)
| ~ ssItem(X0) )
| ~ spl55_51 ),
inference(avatar_component_clause,[],[f954]) ).
fof(f2902,plain,
( ~ spl55_44
| spl55_207
| ~ spl55_51 ),
inference(avatar_split_clause,[],[f2897,f954,f2900,f895]) ).
fof(f2900,plain,
( spl55_207
<=> ! [X0,X1] :
( sK4 != app(app(sK33(sK4),cons(X0,nil)),X1)
| ~ ssItem(X0)
| ~ ssItem(sK9(X0,sK33(sK4),X1))
| memberP(sK4,sK9(X0,sK33(sK4),X1))
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_207])]) ).
fof(f2897,plain,
( ! [X0,X1] :
( sK4 != app(app(sK33(sK4),cons(X0,nil)),X1)
| ~ ssList(X1)
| memberP(sK4,sK9(X0,sK33(sK4),X1))
| ~ ssList(sK33(sK4))
| ~ ssItem(sK9(X0,sK33(sK4),X1))
| ~ ssItem(X0) )
| ~ spl55_51 ),
inference(resolution,[],[f955,f549]) ).
fof(f549,plain,
! [X10,X8,X9] :
( memberP(X9,sK9(X8,X9,X10))
| app(app(X9,cons(X8,nil)),X10) != sK4
| ~ ssList(X9)
| ~ ssItem(X8)
| ~ ssList(X10) ),
inference(definition_unfolding,[],[f365,f368]) ).
fof(f365,plain,
! [X10,X8,X9] :
( ~ ssList(X10)
| app(app(X9,cons(X8,nil)),X10) != sK2
| memberP(X9,sK9(X8,X9,X10))
| ~ ssList(X9)
| ~ ssItem(X8) ),
inference(cnf_transformation,[],[f238]) ).
fof(f2896,plain,
( ~ spl55_18
| spl55_206
| ~ spl55_1
| ~ spl55_18
| ~ spl55_121 ),
inference(avatar_split_clause,[],[f2892,f1636,f677,f590,f2894,f677]) ).
fof(f2894,plain,
( spl55_206
<=> ! [X2,X0,X1] :
( ~ ssList(X1)
| cons(sK9(sK6,X0,X1),X2) = app(cons(sK9(sK6,X0,X1),nil),X2)
| ~ ssList(X0)
| app(X0,cons(sK6,X1)) != sK4
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_206])]) ).
fof(f590,plain,
( spl55_1
<=> ssList(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_1])]) ).
fof(f2892,plain,
( ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(sK6)
| app(X0,cons(sK6,X1)) != sK4
| ~ ssList(X0)
| cons(sK9(sK6,X0,X1),X2) = app(cons(sK9(sK6,X0,X1),nil),X2) )
| ~ spl55_1
| ~ spl55_18
| ~ spl55_121 ),
inference(forward_subsumption_demodulation,[],[f2891,f2363]) ).
fof(f2363,plain,
( ! [X0] :
( ~ ssList(X0)
| app(sK4,X0) = cons(sK6,X0) )
| ~ spl55_18
| ~ spl55_121 ),
inference(backward_demodulation,[],[f873,f1638]) ).
fof(f873,plain,
( ! [X0] :
( ~ ssList(X0)
| app(cons(sK6,nil),X0) = cons(sK6,X0) )
| ~ spl55_18 ),
inference(resolution,[],[f340,f679]) ).
fof(f679,plain,
( ssItem(sK6)
| ~ spl55_18 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f340,plain,
! [X0,X1] :
( ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).
fof(f2891,plain,
( ! [X2,X0,X1] :
( ~ ssItem(sK6)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| sK4 != app(X0,app(sK4,X1))
| cons(sK9(sK6,X0,X1),X2) = app(cons(sK9(sK6,X0,X1),nil),X2) )
| ~ spl55_1
| ~ spl55_121 ),
inference(forward_subsumption_demodulation,[],[f2890,f1173]) ).
fof(f1173,plain,
( ! [X10,X11] :
( ~ ssList(X10)
| app(X10,app(sK4,X11)) = app(app(X10,sK4),X11)
| ~ ssList(X11) )
| ~ spl55_1 ),
inference(resolution,[],[f429,f592]) ).
fof(f592,plain,
( ssList(sK4)
| ~ spl55_1 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f429,plain,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| app(app(X0,X1),X2) = app(X0,app(X1,X2)) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
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/sandbox/benchmark/theBenchmark.p',ax82) ).
fof(f2890,plain,
( ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(sK6)
| ~ ssList(X0)
| app(app(X0,sK4),X1) != sK4
| cons(sK9(sK6,X0,X1),X2) = app(cons(sK9(sK6,X0,X1),nil),X2) )
| ~ spl55_121 ),
inference(superposition,[],[f874,f1638]) ).
fof(f874,plain,
! [X2,X3,X1,X4] :
( app(app(X2,cons(X1,nil)),X3) != sK4
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X4)
| ~ ssList(X3)
| cons(sK9(X1,X2,X3),X4) = app(cons(sK9(X1,X2,X3),nil),X4) ),
inference(resolution,[],[f340,f553]) ).
fof(f553,plain,
! [X10,X8,X9] :
( ssItem(sK9(X8,X9,X10))
| ~ ssList(X9)
| ~ ssItem(X8)
| ~ ssList(X10)
| app(app(X9,cons(X8,nil)),X10) != sK4 ),
inference(definition_unfolding,[],[f361,f368]) ).
fof(f361,plain,
! [X10,X8,X9] :
( ~ ssList(X10)
| app(app(X9,cons(X8,nil)),X10) != sK2
| ssItem(sK9(X8,X9,X10))
| ~ ssList(X9)
| ~ ssItem(X8) ),
inference(cnf_transformation,[],[f238]) ).
fof(f2826,plain,
( spl55_205
| spl55_49
| ~ spl55_44 ),
inference(avatar_split_clause,[],[f2815,f895,f943,f2823]) ).
fof(f2823,plain,
( spl55_205
<=> app(nil,sK33(sK33(sK4))) = sK33(sK33(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_205])]) ).
fof(f943,plain,
( spl55_49
<=> nil = sK33(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_49])]) ).
fof(f2815,plain,
( nil = sK33(sK4)
| app(nil,sK33(sK33(sK4))) = sK33(sK33(sK4))
| ~ spl55_44 ),
inference(resolution,[],[f896,f778]) ).
fof(f778,plain,
! [X1] :
( ~ ssList(X1)
| app(nil,sK33(X1)) = sK33(X1)
| nil = X1 ),
inference(resolution,[],[f499,f492]) ).
fof(f492,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,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/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f499,plain,
! [X0] :
( ssList(sK33(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f305]) ).
fof(f305,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ( ssList(sK33(X0))
& ssItem(sK34(X0))
& cons(sK34(X0),sK33(X0)) = X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK33,sK34])],[f202,f304,f303]) ).
fof(f303,plain,
! [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) )
=> ( ssList(sK33(X0))
& ? [X2] :
( ssItem(X2)
& cons(X2,sK33(X0)) = X0 ) ) ),
introduced(choice_axiom,[]) ).
fof(f304,plain,
! [X0] :
( ? [X2] :
( ssItem(X2)
& cons(X2,sK33(X0)) = X0 )
=> ( ssItem(sK34(X0))
& cons(sK34(X0),sK33(X0)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f202,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) ) ),
inference(flattening,[],[f201]) ).
fof(f201,plain,
! [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ssList(X0)
=> ( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) )
| nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f896,plain,
( ssList(sK33(sK4))
| ~ spl55_44 ),
inference(avatar_component_clause,[],[f895]) ).
fof(f2803,plain,
( spl55_48
| spl55_5
| ~ spl55_1 ),
inference(avatar_split_clause,[],[f2634,f590,f610,f938]) ).
fof(f938,plain,
( spl55_48
<=> app(nil,sK33(sK4)) = sK33(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_48])]) ).
fof(f610,plain,
( spl55_5
<=> nil = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_5])]) ).
fof(f2634,plain,
( nil = sK4
| app(nil,sK33(sK4)) = sK33(sK4)
| ~ spl55_1 ),
inference(resolution,[],[f778,f592]) ).
fof(f2802,plain,
( ~ spl55_11
| ~ spl55_45
| spl55_204
| ~ spl55_185 ),
inference(avatar_split_clause,[],[f2606,f2592,f2800,f899,f638]) ).
fof(f2800,plain,
( spl55_204
<=> ! [X1] :
( sK34(sK4) = X1
| memberP(nil,X1)
| ~ memberP(sK4,X1)
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_204])]) ).
fof(f2592,plain,
( spl55_185
<=> sK4 = cons(sK34(sK4),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_185])]) ).
fof(f2606,plain,
( ! [X1] :
( sK34(sK4) = X1
| ~ ssItem(sK34(sK4))
| ~ ssItem(X1)
| ~ memberP(sK4,X1)
| memberP(nil,X1)
| ~ ssList(nil) )
| ~ spl55_185 ),
inference(superposition,[],[f424,f2594]) ).
fof(f2594,plain,
( sK4 = cons(sK34(sK4),nil)
| ~ spl55_185 ),
inference(avatar_component_clause,[],[f2592]) ).
fof(f424,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X1,X2),X0)
| memberP(X2,X0)
| ~ ssItem(X0)
| X0 = X1
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(cnf_transformation,[],[f263]) ).
fof(f263,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ( ( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0) )
& ( memberP(cons(X1,X2),X0)
| ( ~ memberP(X2,X0)
& X0 != X1 ) ) )
| ~ ssList(X2) ) ) ),
inference(flattening,[],[f262]) ).
fof(f262,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ( ( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0) )
& ( memberP(cons(X1,X2),X0)
| ( ~ memberP(X2,X0)
& X0 != X1 ) ) )
| ~ ssList(X2) ) ) ),
inference(nnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ( ( memberP(X2,X0)
| X0 = X1 )
<=> memberP(cons(X1,X2),X0) )
| ~ ssList(X2) ) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( memberP(X2,X0)
| X0 = X1 )
<=> memberP(cons(X1,X2),X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).
fof(f2798,plain,
( ~ spl55_36
| ~ spl55_49
| ~ spl55_143
| ~ spl55_166 ),
inference(avatar_contradiction_clause,[],[f2789]) ).
fof(f2789,plain,
( $false
| ~ spl55_36
| ~ spl55_49
| ~ spl55_143
| ~ spl55_166 ),
inference(resolution,[],[f2787,f2028]) ).
fof(f2028,plain,
( ssList(cons(sK6,sK4))
| ~ spl55_143 ),
inference(avatar_component_clause,[],[f2026]) ).
fof(f2026,plain,
( spl55_143
<=> ssList(cons(sK6,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_143])]) ).
fof(f2787,plain,
( ! [X18] : ~ ssList(X18)
| ~ spl55_36
| ~ spl55_49
| ~ spl55_166 ),
inference(subsumption_resolution,[],[f2786,f525]) ).
fof(f525,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).
fof(f2786,plain,
( ! [X18] :
( ~ ssList(X18)
| app(X18,nil) != X18 )
| ~ spl55_36
| ~ spl55_49
| ~ spl55_166 ),
inference(forward_demodulation,[],[f2360,f945]) ).
fof(f945,plain,
( nil = sK33(sK4)
| ~ spl55_49 ),
inference(avatar_component_clause,[],[f943]) ).
fof(f2360,plain,
( ! [X18] :
( app(X18,sK33(sK4)) != X18
| ~ ssList(X18) )
| ~ spl55_36
| ~ spl55_166 ),
inference(forward_subsumption_demodulation,[],[f2359,f525]) ).
fof(f2359,plain,
( ! [X18] :
( ~ ssList(X18)
| app(X18,nil) != app(X18,sK33(sK4)) )
| ~ spl55_36
| ~ spl55_166 ),
inference(forward_demodulation,[],[f2254,f828]) ).
fof(f828,plain,
( nil = sK8
| ~ spl55_36 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f826,plain,
( spl55_36
<=> nil = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_36])]) ).
fof(f2254,plain,
( ! [X18] :
( ~ ssList(X18)
| app(X18,sK8) != app(X18,sK33(sK4)) )
| ~ spl55_166 ),
inference(avatar_component_clause,[],[f2253]) ).
fof(f2253,plain,
( spl55_166
<=> ! [X18] :
( app(X18,sK8) != app(X18,sK33(sK4))
| ~ ssList(X18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_166])]) ).
fof(f2797,plain,
( ~ spl55_11
| ~ spl55_36
| ~ spl55_49
| ~ spl55_166 ),
inference(avatar_contradiction_clause,[],[f2791]) ).
fof(f2791,plain,
( $false
| ~ spl55_11
| ~ spl55_36
| ~ spl55_49
| ~ spl55_166 ),
inference(resolution,[],[f2787,f639]) ).
fof(f639,plain,
( ssList(nil)
| ~ spl55_11 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f2796,plain,
( ~ spl55_1
| ~ spl55_36
| ~ spl55_49
| ~ spl55_166 ),
inference(avatar_contradiction_clause,[],[f2792]) ).
fof(f2792,plain,
( $false
| ~ spl55_1
| ~ spl55_36
| ~ spl55_49
| ~ spl55_166 ),
inference(resolution,[],[f2787,f592]) ).
fof(f2785,plain,
( ~ spl55_45
| spl55_203
| ~ spl55_18
| ~ spl55_53
| ~ spl55_121 ),
inference(avatar_split_clause,[],[f2781,f1636,f965,f677,f2783,f899]) ).
fof(f2783,plain,
( spl55_203
<=> ! [X1] :
( ~ ssList(cons(sK6,X1))
| cons(sK6,X1) = app(sK20(cons(sK6,X1),sK34(sK4)),cons(sK34(sK4),sK21(cons(sK6,X1),sK34(sK4))))
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_203])]) ).
fof(f965,plain,
( spl55_53
<=> ! [X1] :
( memberP(app(sK4,X1),sK34(sK4))
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_53])]) ).
fof(f2781,plain,
( ! [X1] :
( ~ ssList(cons(sK6,X1))
| ~ ssList(X1)
| cons(sK6,X1) = app(sK20(cons(sK6,X1),sK34(sK4)),cons(sK34(sK4),sK21(cons(sK6,X1),sK34(sK4))))
| ~ ssItem(sK34(sK4)) )
| ~ spl55_18
| ~ spl55_53
| ~ spl55_121 ),
inference(forward_subsumption_demodulation,[],[f2780,f2363]) ).
fof(f2780,plain,
( ! [X1] :
( ~ ssItem(sK34(sK4))
| ~ ssList(X1)
| ~ ssList(cons(sK6,X1))
| app(sK4,X1) = app(sK20(app(sK4,X1),sK34(sK4)),cons(sK34(sK4),sK21(app(sK4,X1),sK34(sK4)))) )
| ~ spl55_18
| ~ spl55_53
| ~ spl55_121 ),
inference(forward_subsumption_demodulation,[],[f2761,f2363]) ).
fof(f2761,plain,
( ! [X1] :
( ~ ssList(app(sK4,X1))
| ~ ssItem(sK34(sK4))
| app(sK4,X1) = app(sK20(app(sK4,X1),sK34(sK4)),cons(sK34(sK4),sK21(app(sK4,X1),sK34(sK4))))
| ~ ssList(X1) )
| ~ spl55_53 ),
inference(resolution,[],[f966,f427]) ).
fof(f427,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| app(sK20(X0,X1),cons(X1,sK21(X0,X1))) = X0
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f268]) ).
fof(f268,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ( ( ( ssList(sK21(X0,X1))
& app(sK20(X0,X1),cons(X1,sK21(X0,X1))) = X0
& ssList(sK20(X0,X1)) )
| ~ memberP(X0,X1) )
& ( memberP(X0,X1)
| ! [X4] :
( ! [X5] :
( ~ ssList(X5)
| app(X4,cons(X1,X5)) != X0 )
| ~ ssList(X4) ) ) )
| ~ ssItem(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21])],[f265,f267,f266]) ).
fof(f266,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 )
& ssList(X2) )
=> ( ? [X3] :
( ssList(X3)
& app(sK20(X0,X1),cons(X1,X3)) = X0 )
& ssList(sK20(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f267,plain,
! [X0,X1] :
( ? [X3] :
( ssList(X3)
& app(sK20(X0,X1),cons(X1,X3)) = X0 )
=> ( ssList(sK21(X0,X1))
& app(sK20(X0,X1),cons(X1,sK21(X0,X1))) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f265,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ( ( ? [X2] :
( ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 )
& ssList(X2) )
| ~ memberP(X0,X1) )
& ( memberP(X0,X1)
| ! [X4] :
( ! [X5] :
( ~ ssList(X5)
| app(X4,cons(X1,X5)) != X0 )
| ~ ssList(X4) ) ) )
| ~ ssItem(X1) ) ),
inference(rectify,[],[f264]) ).
fof(f264,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ( ( ? [X2] :
( ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 )
& ssList(X2) )
| ~ memberP(X0,X1) )
& ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( ~ ssList(X3)
| app(X2,cons(X1,X3)) != X0 )
| ~ ssList(X2) ) ) )
| ~ ssItem(X1) ) ),
inference(nnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ( ? [X2] :
( ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 )
& ssList(X2) )
<=> memberP(X0,X1) )
| ~ ssItem(X1) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( ? [X2] :
( ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 )
& ssList(X2) )
<=> memberP(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f966,plain,
( ! [X1] :
( memberP(app(sK4,X1),sK34(sK4))
| ~ ssList(X1) )
| ~ spl55_53 ),
inference(avatar_component_clause,[],[f965]) ).
fof(f2779,plain,
( ~ spl55_45
| spl55_202
| ~ spl55_18
| ~ spl55_53
| ~ spl55_121 ),
inference(avatar_split_clause,[],[f2775,f1636,f965,f677,f2777,f899]) ).
fof(f2777,plain,
( spl55_202
<=> ! [X2,X3] :
( memberP(app(X3,cons(sK6,X2)),sK34(sK4))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(cons(sK6,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_202])]) ).
fof(f2775,plain,
( ! [X2,X3] :
( memberP(app(X3,cons(sK6,X2)),sK34(sK4))
| ~ ssItem(sK34(sK4))
| ~ ssList(cons(sK6,X2))
| ~ ssList(X3)
| ~ ssList(X2) )
| ~ spl55_18
| ~ spl55_53
| ~ spl55_121 ),
inference(forward_subsumption_demodulation,[],[f2774,f2363]) ).
fof(f2774,plain,
( ! [X2,X3] :
( ~ ssItem(sK34(sK4))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(cons(sK6,X2))
| memberP(app(X3,app(sK4,X2)),sK34(sK4)) )
| ~ spl55_18
| ~ spl55_53
| ~ spl55_121 ),
inference(forward_subsumption_demodulation,[],[f2762,f2363]) ).
fof(f2762,plain,
( ! [X2,X3] :
( ~ ssList(app(sK4,X2))
| ~ ssItem(sK34(sK4))
| memberP(app(X3,app(sK4,X2)),sK34(sK4))
| ~ ssList(X3)
| ~ ssList(X2) )
| ~ spl55_53 ),
inference(resolution,[],[f966,f381]) ).
fof(f381,plain,
! [X2,X0,X1] :
( ~ memberP(X2,X0)
| ~ ssList(X2)
| memberP(app(X1,X2),X0)
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f241]) ).
fof(f241,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) ) )
& ( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) ) )
| ~ ssItem(X0) ),
inference(flattening,[],[f240]) ).
fof(f240,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) ) )
& ( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) ) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) )
| ~ ssList(X2) ) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).
fof(f2773,plain,
( ~ spl55_45
| spl55_201
| ~ spl55_18
| ~ spl55_53
| ~ spl55_121 ),
inference(avatar_split_clause,[],[f2769,f1636,f965,f677,f2771,f899]) ).
fof(f2771,plain,
( spl55_201
<=> ! [X4,X5] :
( memberP(cons(sK6,app(X4,X5)),sK34(sK4))
| ~ ssList(X4)
| ~ ssList(cons(sK6,X4))
| ~ ssList(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_201])]) ).
fof(f2769,plain,
( ! [X4,X5] :
( memberP(cons(sK6,app(X4,X5)),sK34(sK4))
| ~ ssList(X5)
| ~ ssList(cons(sK6,X4))
| ~ ssItem(sK34(sK4))
| ~ ssList(X4) )
| ~ spl55_18
| ~ spl55_53
| ~ spl55_121 ),
inference(forward_subsumption_demodulation,[],[f2768,f1181]) ).
fof(f1181,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(cons(sK6,X1),X0) = cons(sK6,app(X1,X0)) )
| ~ spl55_18 ),
inference(resolution,[],[f472,f679]) ).
fof(f472,plain,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssList(X0)
| cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)
| ~ ssItem(X2) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,app(X1,X0)) = app(cons(X2,X1),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
fof(f2768,plain,
( ! [X4,X5] :
( ~ ssList(cons(sK6,X4))
| ~ ssList(X5)
| memberP(app(cons(sK6,X4),X5),sK34(sK4))
| ~ ssItem(sK34(sK4))
| ~ ssList(X4) )
| ~ spl55_18
| ~ spl55_53
| ~ spl55_121 ),
inference(forward_subsumption_demodulation,[],[f2767,f2363]) ).
fof(f2767,plain,
( ! [X4,X5] :
( ~ ssList(cons(sK6,X4))
| ~ ssItem(sK34(sK4))
| memberP(app(app(sK4,X4),X5),sK34(sK4))
| ~ ssList(X4)
| ~ ssList(X5) )
| ~ spl55_18
| ~ spl55_53
| ~ spl55_121 ),
inference(forward_subsumption_demodulation,[],[f2763,f2363]) ).
fof(f2763,plain,
( ! [X4,X5] :
( ~ ssList(app(sK4,X4))
| memberP(app(app(sK4,X4),X5),sK34(sK4))
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssItem(sK34(sK4)) )
| ~ spl55_53 ),
inference(resolution,[],[f966,f380]) ).
fof(f380,plain,
! [X2,X0,X1] :
( ~ memberP(X1,X0)
| memberP(app(X1,X2),X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(X2) ),
inference(cnf_transformation,[],[f241]) ).
fof(f2759,plain,
( ~ spl55_143
| ~ spl55_45
| spl55_200
| ~ spl55_1
| ~ spl55_18
| ~ spl55_78
| ~ spl55_106
| ~ spl55_121
| ~ spl55_194 ),
inference(avatar_split_clause,[],[f2755,f2721,f1636,f1525,f1224,f677,f590,f2757,f899,f2026]) ).
fof(f2757,plain,
( spl55_200
<=> ! [X1] :
( memberP(app(sK4,cons(sK6,X1)),sK34(sK4))
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_200])]) ).
fof(f1224,plain,
( spl55_78
<=> ssList(cons(sK6,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_78])]) ).
fof(f1525,plain,
( spl55_106
<=> cons(sK6,sK4) = app(cons(sK6,nil),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_106])]) ).
fof(f2721,plain,
( spl55_194
<=> memberP(cons(sK6,sK4),sK34(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_194])]) ).
fof(f2755,plain,
( ! [X1] :
( memberP(app(sK4,cons(sK6,X1)),sK34(sK4))
| ~ ssItem(sK34(sK4))
| ~ ssList(cons(sK6,sK4))
| ~ ssList(X1) )
| ~ spl55_1
| ~ spl55_18
| ~ spl55_78
| ~ spl55_106
| ~ spl55_121
| ~ spl55_194 ),
inference(forward_subsumption_demodulation,[],[f2754,f2363]) ).
fof(f2754,plain,
( ! [X1] :
( memberP(app(sK4,app(sK4,X1)),sK34(sK4))
| ~ ssList(cons(sK6,sK4))
| ~ ssItem(sK34(sK4))
| ~ ssList(X1) )
| ~ spl55_1
| ~ spl55_78
| ~ spl55_106
| ~ spl55_121
| ~ spl55_194 ),
inference(forward_subsumption_demodulation,[],[f2744,f2383]) ).
fof(f2383,plain,
( ! [X6] :
( ~ ssList(X6)
| app(cons(sK6,sK4),X6) = app(sK4,app(sK4,X6)) )
| ~ spl55_1
| ~ spl55_78
| ~ spl55_106
| ~ spl55_121 ),
inference(backward_demodulation,[],[f2084,f1638]) ).
fof(f2084,plain,
( ! [X6] :
( ~ ssList(X6)
| app(cons(sK6,sK4),X6) = app(cons(sK6,nil),app(sK4,X6)) )
| ~ spl55_1
| ~ spl55_78
| ~ spl55_106 ),
inference(forward_demodulation,[],[f2082,f1527]) ).
fof(f1527,plain,
( cons(sK6,sK4) = app(cons(sK6,nil),sK4)
| ~ spl55_106 ),
inference(avatar_component_clause,[],[f1525]) ).
fof(f2082,plain,
( ! [X6] :
( ~ ssList(X6)
| app(app(cons(sK6,nil),sK4),X6) = app(cons(sK6,nil),app(sK4,X6)) )
| ~ spl55_1
| ~ spl55_78 ),
inference(resolution,[],[f1225,f1173]) ).
fof(f1225,plain,
( ssList(cons(sK6,nil))
| ~ spl55_78 ),
inference(avatar_component_clause,[],[f1224]) ).
fof(f2744,plain,
( ! [X1] :
( memberP(app(cons(sK6,sK4),X1),sK34(sK4))
| ~ ssList(cons(sK6,sK4))
| ~ ssList(X1)
| ~ ssItem(sK34(sK4)) )
| ~ spl55_194 ),
inference(resolution,[],[f2723,f380]) ).
fof(f2723,plain,
( memberP(cons(sK6,sK4),sK34(sK4))
| ~ spl55_194 ),
inference(avatar_component_clause,[],[f2721]) ).
fof(f2753,plain,
( ~ spl55_143
| ~ spl55_45
| spl55_199
| ~ spl55_194 ),
inference(avatar_split_clause,[],[f2743,f2721,f2751,f899,f2026]) ).
fof(f2751,plain,
( spl55_199
<=> ! [X0] :
( memberP(app(X0,cons(sK6,sK4)),sK34(sK4))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_199])]) ).
fof(f2743,plain,
( ! [X0] :
( memberP(app(X0,cons(sK6,sK4)),sK34(sK4))
| ~ ssList(X0)
| ~ ssItem(sK34(sK4))
| ~ ssList(cons(sK6,sK4)) )
| ~ spl55_194 ),
inference(resolution,[],[f2723,f381]) ).
fof(f2749,plain,
( spl55_198
| ~ spl55_143
| ~ spl55_45
| ~ spl55_194 ),
inference(avatar_split_clause,[],[f2742,f2721,f899,f2026,f2746]) ).
fof(f2746,plain,
( spl55_198
<=> cons(sK6,sK4) = app(sK20(cons(sK6,sK4),sK34(sK4)),cons(sK34(sK4),sK21(cons(sK6,sK4),sK34(sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_198])]) ).
fof(f2742,plain,
( ~ ssItem(sK34(sK4))
| ~ ssList(cons(sK6,sK4))
| cons(sK6,sK4) = app(sK20(cons(sK6,sK4),sK34(sK4)),cons(sK34(sK4),sK21(cons(sK6,sK4),sK34(sK4))))
| ~ spl55_194 ),
inference(resolution,[],[f2723,f427]) ).
fof(f2738,plain,
( ~ spl55_45
| spl55_197
| ~ spl55_1
| ~ spl55_18
| ~ spl55_52
| ~ spl55_121 ),
inference(avatar_split_clause,[],[f2734,f1636,f961,f677,f590,f2736,f899]) ).
fof(f2736,plain,
( spl55_197
<=> ! [X4,X5] :
( ~ ssList(app(X4,sK4))
| ~ ssList(X5)
| memberP(app(X4,cons(sK6,X5)),sK34(sK4))
| ~ ssList(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_197])]) ).
fof(f961,plain,
( spl55_52
<=> ! [X0] :
( memberP(app(X0,sK4),sK34(sK4))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_52])]) ).
fof(f2734,plain,
( ! [X4,X5] :
( ~ ssList(app(X4,sK4))
| ~ ssList(X4)
| memberP(app(X4,cons(sK6,X5)),sK34(sK4))
| ~ ssList(X5)
| ~ ssItem(sK34(sK4)) )
| ~ spl55_1
| ~ spl55_18
| ~ spl55_52
| ~ spl55_121 ),
inference(forward_subsumption_demodulation,[],[f2733,f2363]) ).
fof(f2733,plain,
( ! [X4,X5] :
( ~ ssItem(sK34(sK4))
| memberP(app(X4,app(sK4,X5)),sK34(sK4))
| ~ ssList(X5)
| ~ ssList(app(X4,sK4))
| ~ ssList(X4) )
| ~ spl55_1
| ~ spl55_52 ),
inference(forward_subsumption_demodulation,[],[f2716,f1173]) ).
fof(f2716,plain,
( ! [X4,X5] :
( ~ ssItem(sK34(sK4))
| memberP(app(app(X4,sK4),X5),sK34(sK4))
| ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(app(X4,sK4)) )
| ~ spl55_52 ),
inference(resolution,[],[f962,f380]) ).
fof(f962,plain,
( ! [X0] :
( memberP(app(X0,sK4),sK34(sK4))
| ~ ssList(X0) )
| ~ spl55_52 ),
inference(avatar_component_clause,[],[f961]) ).
fof(f2732,plain,
( ~ spl55_45
| spl55_196
| ~ spl55_52 ),
inference(avatar_split_clause,[],[f2714,f961,f2730,f899]) ).
fof(f2730,plain,
( spl55_196
<=> ! [X1] :
( app(sK20(app(X1,sK4),sK34(sK4)),cons(sK34(sK4),sK21(app(X1,sK4),sK34(sK4)))) = app(X1,sK4)
| ~ ssList(X1)
| ~ ssList(app(X1,sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_196])]) ).
fof(f2714,plain,
( ! [X1] :
( app(sK20(app(X1,sK4),sK34(sK4)),cons(sK34(sK4),sK21(app(X1,sK4),sK34(sK4)))) = app(X1,sK4)
| ~ ssItem(sK34(sK4))
| ~ ssList(app(X1,sK4))
| ~ ssList(X1) )
| ~ spl55_52 ),
inference(resolution,[],[f962,f427]) ).
fof(f2728,plain,
( ~ spl55_45
| spl55_195
| ~ spl55_52 ),
inference(avatar_split_clause,[],[f2715,f961,f2726,f899]) ).
fof(f2726,plain,
( spl55_195
<=> ! [X2,X3] :
( ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(app(X2,sK4))
| memberP(app(X3,app(X2,sK4)),sK34(sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_195])]) ).
fof(f2715,plain,
( ! [X2,X3] :
( ~ ssList(X3)
| memberP(app(X3,app(X2,sK4)),sK34(sK4))
| ~ ssItem(sK34(sK4))
| ~ ssList(app(X2,sK4))
| ~ ssList(X2) )
| ~ spl55_52 ),
inference(resolution,[],[f962,f381]) ).
fof(f2724,plain,
( spl55_194
| ~ spl55_1
| ~ spl55_52
| ~ spl55_124 ),
inference(avatar_split_clause,[],[f2718,f1708,f961,f590,f2721]) ).
fof(f1708,plain,
( spl55_124
<=> cons(sK6,sK4) = app(sK4,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_124])]) ).
fof(f2718,plain,
( ~ ssList(sK4)
| memberP(cons(sK6,sK4),sK34(sK4))
| ~ spl55_52
| ~ spl55_124 ),
inference(superposition,[],[f962,f1710]) ).
fof(f1710,plain,
( cons(sK6,sK4) = app(sK4,sK4)
| ~ spl55_124 ),
inference(avatar_component_clause,[],[f1708]) ).
fof(f2698,plain,
( ~ spl55_18
| ~ spl55_143
| spl55_193
| ~ spl55_188 ),
inference(avatar_split_clause,[],[f2680,f2660,f2696,f2026,f677]) ).
fof(f2696,plain,
( spl55_193
<=> ! [X0] :
( ~ ssList(X0)
| memberP(app(X0,cons(sK6,sK4)),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_193])]) ).
fof(f2660,plain,
( spl55_188
<=> memberP(cons(sK6,sK4),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_188])]) ).
fof(f2680,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(cons(sK6,sK4))
| memberP(app(X0,cons(sK6,sK4)),sK6)
| ~ ssItem(sK6) )
| ~ spl55_188 ),
inference(resolution,[],[f2662,f381]) ).
fof(f2662,plain,
( memberP(cons(sK6,sK4),sK6)
| ~ spl55_188 ),
inference(avatar_component_clause,[],[f2660]) ).
fof(f2694,plain,
( ~ spl55_18
| ~ spl55_143
| spl55_192
| ~ spl55_1
| ~ spl55_18
| ~ spl55_78
| ~ spl55_106
| ~ spl55_121
| ~ spl55_188 ),
inference(avatar_split_clause,[],[f2690,f2660,f1636,f1525,f1224,f677,f590,f2692,f2026,f677]) ).
fof(f2692,plain,
( spl55_192
<=> ! [X1] :
( memberP(cons(sK6,cons(sK6,X1)),sK6)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_192])]) ).
fof(f2690,plain,
( ! [X1] :
( memberP(cons(sK6,cons(sK6,X1)),sK6)
| ~ ssList(cons(sK6,sK4))
| ~ ssList(X1)
| ~ ssItem(sK6) )
| ~ spl55_1
| ~ spl55_18
| ~ spl55_78
| ~ spl55_106
| ~ spl55_121
| ~ spl55_188 ),
inference(forward_subsumption_demodulation,[],[f2689,f2372]) ).
fof(f2372,plain,
( ! [X0,X1] :
( app(sK4,cons(X0,X1)) = cons(sK6,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) )
| ~ spl55_18
| ~ spl55_121 ),
inference(backward_demodulation,[],[f1467,f1638]) ).
fof(f1467,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(sK6,nil),cons(X0,X1)) = cons(sK6,cons(X0,X1)) )
| ~ spl55_18 ),
inference(resolution,[],[f873,f419]) ).
fof(f419,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,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/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f2689,plain,
( ! [X1] :
( ~ ssList(cons(sK6,sK4))
| memberP(app(sK4,cons(sK6,X1)),sK6)
| ~ ssItem(sK6)
| ~ ssList(X1) )
| ~ spl55_1
| ~ spl55_18
| ~ spl55_78
| ~ spl55_106
| ~ spl55_121
| ~ spl55_188 ),
inference(forward_subsumption_demodulation,[],[f2688,f2363]) ).
fof(f2688,plain,
( ! [X1] :
( ~ ssList(X1)
| ~ ssList(cons(sK6,sK4))
| memberP(app(sK4,app(sK4,X1)),sK6)
| ~ ssItem(sK6) )
| ~ spl55_1
| ~ spl55_78
| ~ spl55_106
| ~ spl55_121
| ~ spl55_188 ),
inference(forward_subsumption_demodulation,[],[f2681,f2383]) ).
fof(f2681,plain,
( ! [X1] :
( ~ ssItem(sK6)
| ~ ssList(X1)
| ~ ssList(cons(sK6,sK4))
| memberP(app(cons(sK6,sK4),X1),sK6) )
| ~ spl55_188 ),
inference(resolution,[],[f2662,f380]) ).
fof(f2687,plain,
( spl55_191
| ~ spl55_18
| ~ spl55_143
| ~ spl55_188 ),
inference(avatar_split_clause,[],[f2679,f2660,f2026,f677,f2684]) ).
fof(f2684,plain,
( spl55_191
<=> cons(sK6,sK4) = app(sK20(cons(sK6,sK4),sK6),cons(sK6,sK21(cons(sK6,sK4),sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_191])]) ).
fof(f2679,plain,
( ~ ssList(cons(sK6,sK4))
| ~ ssItem(sK6)
| cons(sK6,sK4) = app(sK20(cons(sK6,sK4),sK6),cons(sK6,sK21(cons(sK6,sK4),sK6)))
| ~ spl55_188 ),
inference(resolution,[],[f2662,f427]) ).
fof(f2671,plain,
( spl55_190
| ~ spl55_18
| ~ spl55_136 ),
inference(avatar_split_clause,[],[f2647,f1933,f677,f2669]) ).
fof(f2669,plain,
( spl55_190
<=> ! [X1] :
( ~ ssList(X1)
| ~ ssList(app(X1,sK4))
| app(sK20(app(X1,sK4),sK6),cons(sK6,sK21(app(X1,sK4),sK6))) = app(X1,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_190])]) ).
fof(f1933,plain,
( spl55_136
<=> ! [X0] :
( ~ ssList(X0)
| memberP(app(X0,sK4),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_136])]) ).
fof(f2647,plain,
( ! [X1] :
( ~ ssItem(sK6)
| ~ ssList(X1)
| app(sK20(app(X1,sK4),sK6),cons(sK6,sK21(app(X1,sK4),sK6))) = app(X1,sK4)
| ~ ssList(app(X1,sK4)) )
| ~ spl55_136 ),
inference(resolution,[],[f1934,f427]) ).
fof(f1934,plain,
( ! [X0] :
( memberP(app(X0,sK4),sK6)
| ~ ssList(X0) )
| ~ spl55_136 ),
inference(avatar_component_clause,[],[f1933]) ).
fof(f2667,plain,
( ~ spl55_18
| spl55_189
| ~ spl55_136 ),
inference(avatar_split_clause,[],[f2648,f1933,f2665,f677]) ).
fof(f2665,plain,
( spl55_189
<=> ! [X2,X3] :
( ~ ssList(app(X2,sK4))
| ~ ssList(X3)
| ~ ssList(X2)
| memberP(app(X3,app(X2,sK4)),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_189])]) ).
fof(f2648,plain,
( ! [X2,X3] :
( ~ ssList(app(X2,sK4))
| ~ ssItem(sK6)
| memberP(app(X3,app(X2,sK4)),sK6)
| ~ ssList(X2)
| ~ ssList(X3) )
| ~ spl55_136 ),
inference(resolution,[],[f1934,f381]) ).
fof(f2663,plain,
( ~ spl55_1
| spl55_188
| ~ spl55_124
| ~ spl55_136 ),
inference(avatar_split_clause,[],[f2651,f1933,f1708,f2660,f590]) ).
fof(f2651,plain,
( memberP(cons(sK6,sK4),sK6)
| ~ ssList(sK4)
| ~ spl55_124
| ~ spl55_136 ),
inference(superposition,[],[f1934,f1710]) ).
fof(f2658,plain,
( ~ spl55_18
| spl55_187
| ~ spl55_1
| ~ spl55_18
| ~ spl55_121
| ~ spl55_136 ),
inference(avatar_split_clause,[],[f2654,f1933,f1636,f677,f590,f2656,f677]) ).
fof(f2656,plain,
( spl55_187
<=> ! [X4,X5] :
( ~ ssList(X5)
| ~ ssList(app(X4,sK4))
| memberP(app(X4,cons(sK6,X5)),sK6)
| ~ ssList(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_187])]) ).
fof(f2654,plain,
( ! [X4,X5] :
( ~ ssList(X5)
| ~ ssList(app(X4,sK4))
| ~ ssList(X4)
| ~ ssItem(sK6)
| memberP(app(X4,cons(sK6,X5)),sK6) )
| ~ spl55_1
| ~ spl55_18
| ~ spl55_121
| ~ spl55_136 ),
inference(forward_subsumption_demodulation,[],[f2653,f2363]) ).
fof(f2653,plain,
( ! [X4,X5] :
( ~ ssList(X4)
| ~ ssList(app(X4,sK4))
| ~ ssItem(sK6)
| memberP(app(X4,app(sK4,X5)),sK6)
| ~ ssList(X5) )
| ~ spl55_1
| ~ spl55_136 ),
inference(forward_subsumption_demodulation,[],[f2649,f1173]) ).
fof(f2649,plain,
( ! [X4,X5] :
( memberP(app(app(X4,sK4),X5),sK6)
| ~ ssList(app(X4,sK4))
| ~ ssList(X4)
| ~ ssItem(sK6)
| ~ ssList(X5) )
| ~ spl55_136 ),
inference(resolution,[],[f1934,f380]) ).
fof(f2642,plain,
( spl55_141
| spl55_186
| ~ spl55_143 ),
inference(avatar_split_clause,[],[f2631,f2026,f2639,f2015]) ).
fof(f2015,plain,
( spl55_141
<=> nil = cons(sK6,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_141])]) ).
fof(f2639,plain,
( spl55_186
<=> app(nil,sK33(cons(sK6,sK4))) = sK33(cons(sK6,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_186])]) ).
fof(f2631,plain,
( app(nil,sK33(cons(sK6,sK4))) = sK33(cons(sK6,sK4))
| nil = cons(sK6,sK4)
| ~ spl55_143 ),
inference(resolution,[],[f778,f2028]) ).
fof(f2598,plain,
( spl55_97
| ~ spl55_36
| ~ spl55_154 ),
inference(avatar_split_clause,[],[f2597,f2167,f826,f1442]) ).
fof(f1442,plain,
( spl55_97
<=> ! [X10] :
( ~ ssList(X10)
| memberP(X10,sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_97])]) ).
fof(f2167,plain,
( spl55_154
<=> ! [X0] :
( memberP(app(X0,sK8),sK6)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_154])]) ).
fof(f2597,plain,
( ! [X0] :
( memberP(X0,sK6)
| ~ ssList(X0) )
| ~ spl55_36
| ~ spl55_154 ),
inference(forward_subsumption_demodulation,[],[f2596,f525]) ).
fof(f2596,plain,
( ! [X0] :
( memberP(app(X0,nil),sK6)
| ~ ssList(X0) )
| ~ spl55_36
| ~ spl55_154 ),
inference(forward_demodulation,[],[f2168,f828]) ).
fof(f2168,plain,
( ! [X0] :
( memberP(app(X0,sK8),sK6)
| ~ ssList(X0) )
| ~ spl55_154 ),
inference(avatar_component_clause,[],[f2167]) ).
fof(f2595,plain,
( spl55_185
| ~ spl55_34
| ~ spl55_49 ),
inference(avatar_split_clause,[],[f2565,f943,f817,f2592]) ).
fof(f2565,plain,
( sK4 = cons(sK34(sK4),nil)
| ~ spl55_34
| ~ spl55_49 ),
inference(backward_demodulation,[],[f819,f945]) ).
fof(f2564,plain,
( spl55_141
| spl55_184
| ~ spl55_143 ),
inference(avatar_split_clause,[],[f2547,f2026,f2561,f2015]) ).
fof(f2561,plain,
( spl55_184
<=> app(sK33(cons(sK6,sK4)),nil) = sK33(cons(sK6,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_184])]) ).
fof(f2547,plain,
( app(sK33(cons(sK6,sK4)),nil) = sK33(cons(sK6,sK4))
| nil = cons(sK6,sK4)
| ~ spl55_143 ),
inference(resolution,[],[f777,f2028]) ).
fof(f777,plain,
! [X0] :
( ~ ssList(X0)
| app(sK33(X0),nil) = sK33(X0)
| nil = X0 ),
inference(resolution,[],[f499,f525]) ).
fof(f2559,plain,
( spl55_183
| spl55_49
| ~ spl55_44 ),
inference(avatar_split_clause,[],[f2554,f895,f943,f2556]) ).
fof(f2556,plain,
( spl55_183
<=> app(sK33(sK33(sK4)),nil) = sK33(sK33(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_183])]) ).
fof(f2554,plain,
( nil = sK33(sK4)
| app(sK33(sK33(sK4)),nil) = sK33(sK33(sK4))
| ~ spl55_44 ),
inference(resolution,[],[f777,f896]) ).
fof(f2545,plain,
( spl55_182
| ~ spl55_1
| ~ spl55_20 ),
inference(avatar_split_clause,[],[f2521,f688,f590,f2542]) ).
fof(f2542,plain,
( spl55_182
<=> app(cons(sK32,nil),sK4) = cons(sK32,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_182])]) ).
fof(f688,plain,
( spl55_20
<=> ssItem(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_20])]) ).
fof(f2521,plain,
( app(cons(sK32,nil),sK4) = cons(sK32,sK4)
| ~ spl55_1
| ~ spl55_20 ),
inference(resolution,[],[f876,f592]) ).
fof(f876,plain,
( ! [X6] :
( ~ ssList(X6)
| cons(sK32,X6) = app(cons(sK32,nil),X6) )
| ~ spl55_20 ),
inference(resolution,[],[f340,f690]) ).
fof(f690,plain,
( ssItem(sK32)
| ~ spl55_20 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f2540,plain,
( spl55_181
| ~ spl55_11
| ~ spl55_20 ),
inference(avatar_split_clause,[],[f2520,f688,f638,f2537]) ).
fof(f2537,plain,
( spl55_181
<=> app(cons(sK32,nil),nil) = cons(sK32,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_181])]) ).
fof(f2520,plain,
( app(cons(sK32,nil),nil) = cons(sK32,nil)
| ~ spl55_11
| ~ spl55_20 ),
inference(resolution,[],[f876,f639]) ).
fof(f2535,plain,
( spl55_180
| ~ spl55_20
| ~ spl55_143 ),
inference(avatar_split_clause,[],[f2518,f2026,f688,f2532]) ).
fof(f2532,plain,
( spl55_180
<=> app(cons(sK32,nil),cons(sK6,sK4)) = cons(sK32,cons(sK6,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_180])]) ).
fof(f2518,plain,
( app(cons(sK32,nil),cons(sK6,sK4)) = cons(sK32,cons(sK6,sK4))
| ~ spl55_20
| ~ spl55_143 ),
inference(resolution,[],[f876,f2028]) ).
fof(f2530,plain,
( spl55_179
| ~ spl55_20
| ~ spl55_44 ),
inference(avatar_split_clause,[],[f2525,f895,f688,f2527]) ).
fof(f2527,plain,
( spl55_179
<=> app(cons(sK32,nil),sK33(sK4)) = cons(sK32,sK33(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_179])]) ).
fof(f2525,plain,
( app(cons(sK32,nil),sK33(sK4)) = cons(sK32,sK33(sK4))
| ~ spl55_20
| ~ spl55_44 ),
inference(resolution,[],[f876,f896]) ).
fof(f2511,plain,
( spl55_178
| ~ spl55_1
| ~ spl55_17 ),
inference(avatar_split_clause,[],[f2487,f671,f590,f2508]) ).
fof(f2508,plain,
( spl55_178
<=> app(cons(sK31,nil),sK4) = cons(sK31,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_178])]) ).
fof(f671,plain,
( spl55_17
<=> ssItem(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_17])]) ).
fof(f2487,plain,
( app(cons(sK31,nil),sK4) = cons(sK31,sK4)
| ~ spl55_1
| ~ spl55_17 ),
inference(resolution,[],[f875,f592]) ).
fof(f875,plain,
( ! [X5] :
( ~ ssList(X5)
| cons(sK31,X5) = app(cons(sK31,nil),X5) )
| ~ spl55_17 ),
inference(resolution,[],[f340,f673]) ).
fof(f673,plain,
( ssItem(sK31)
| ~ spl55_17 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f2506,plain,
( spl55_177
| ~ spl55_17
| ~ spl55_143 ),
inference(avatar_split_clause,[],[f2484,f2026,f671,f2503]) ).
fof(f2503,plain,
( spl55_177
<=> app(cons(sK31,nil),cons(sK6,sK4)) = cons(sK31,cons(sK6,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_177])]) ).
fof(f2484,plain,
( app(cons(sK31,nil),cons(sK6,sK4)) = cons(sK31,cons(sK6,sK4))
| ~ spl55_17
| ~ spl55_143 ),
inference(resolution,[],[f875,f2028]) ).
fof(f2501,plain,
( spl55_176
| ~ spl55_17
| ~ spl55_44 ),
inference(avatar_split_clause,[],[f2491,f895,f671,f2498]) ).
fof(f2498,plain,
( spl55_176
<=> app(cons(sK31,nil),sK33(sK4)) = cons(sK31,sK33(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_176])]) ).
fof(f2491,plain,
( app(cons(sK31,nil),sK33(sK4)) = cons(sK31,sK33(sK4))
| ~ spl55_17
| ~ spl55_44 ),
inference(resolution,[],[f875,f896]) ).
fof(f2496,plain,
( spl55_175
| ~ spl55_11
| ~ spl55_17 ),
inference(avatar_split_clause,[],[f2486,f671,f638,f2493]) ).
fof(f2493,plain,
( spl55_175
<=> app(cons(sK31,nil),nil) = cons(sK31,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_175])]) ).
fof(f2486,plain,
( app(cons(sK31,nil),nil) = cons(sK31,nil)
| ~ spl55_11
| ~ spl55_17 ),
inference(resolution,[],[f875,f639]) ).
fof(f2469,plain,
( spl55_174
| ~ spl55_18
| ~ spl55_121
| ~ spl55_143 ),
inference(avatar_split_clause,[],[f2447,f2026,f1636,f677,f2466]) ).
fof(f2466,plain,
( spl55_174
<=> cons(sK6,cons(sK6,sK4)) = app(sK4,cons(sK6,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_174])]) ).
fof(f2447,plain,
( cons(sK6,cons(sK6,sK4)) = app(sK4,cons(sK6,sK4))
| ~ spl55_18
| ~ spl55_121
| ~ spl55_143 ),
inference(resolution,[],[f2028,f2363]) ).
fof(f2464,plain,
( spl55_141
| spl55_173
| ~ spl55_143 ),
inference(avatar_split_clause,[],[f2442,f2026,f2461,f2015]) ).
fof(f2461,plain,
( spl55_173
<=> cons(sK6,sK4) = cons(sK34(cons(sK6,sK4)),sK33(cons(sK6,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_173])]) ).
fof(f2442,plain,
( cons(sK6,sK4) = cons(sK34(cons(sK6,sK4)),sK33(cons(sK6,sK4)))
| nil = cons(sK6,sK4)
| ~ spl55_143 ),
inference(resolution,[],[f2028,f497]) ).
fof(f497,plain,
! [X0] :
( ~ ssList(X0)
| cons(sK34(X0),sK33(X0)) = X0
| nil = X0 ),
inference(cnf_transformation,[],[f305]) ).
fof(f2459,plain,
( spl55_172
| ~ spl55_143 ),
inference(avatar_split_clause,[],[f2443,f2026,f2456]) ).
fof(f2456,plain,
( spl55_172
<=> cons(sK6,sK4) = app(cons(sK6,sK4),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_172])]) ).
fof(f2443,plain,
( cons(sK6,sK4) = app(cons(sK6,sK4),nil)
| ~ spl55_143 ),
inference(resolution,[],[f2028,f525]) ).
fof(f2452,plain,
( spl55_171
| ~ spl55_143 ),
inference(avatar_split_clause,[],[f2441,f2026,f2449]) ).
fof(f2449,plain,
( spl55_171
<=> cons(sK6,sK4) = app(nil,cons(sK6,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_171])]) ).
fof(f2441,plain,
( cons(sK6,sK4) = app(nil,cons(sK6,sK4))
| ~ spl55_143 ),
inference(resolution,[],[f2028,f492]) ).
fof(f2429,plain,
( spl55_97
| ~ spl55_36
| ~ spl55_152 ),
inference(avatar_split_clause,[],[f2428,f2158,f826,f1442]) ).
fof(f2158,plain,
( spl55_152
<=> ! [X1] :
( ~ ssList(X1)
| memberP(app(sK8,X1),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_152])]) ).
fof(f2428,plain,
( ! [X1] :
( memberP(X1,sK6)
| ~ ssList(X1) )
| ~ spl55_36
| ~ spl55_152 ),
inference(forward_subsumption_demodulation,[],[f2427,f492]) ).
fof(f2427,plain,
( ! [X1] :
( memberP(app(nil,X1),sK6)
| ~ ssList(X1) )
| ~ spl55_36
| ~ spl55_152 ),
inference(forward_demodulation,[],[f2159,f828]) ).
fof(f2159,plain,
( ! [X1] :
( memberP(app(sK8,X1),sK6)
| ~ ssList(X1) )
| ~ spl55_152 ),
inference(avatar_component_clause,[],[f2158]) ).
fof(f2426,plain,
( spl55_170
| ~ spl55_121
| ~ spl55_169 ),
inference(avatar_split_clause,[],[f2421,f2318,f1636,f2423]) ).
fof(f2423,plain,
( spl55_170
<=> cons(sK6,sK33(nil)) = app(sK4,sK33(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_170])]) ).
fof(f2318,plain,
( spl55_169
<=> cons(sK6,sK33(nil)) = app(cons(sK6,nil),sK33(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_169])]) ).
fof(f2421,plain,
( cons(sK6,sK33(nil)) = app(sK4,sK33(nil))
| ~ spl55_121
| ~ spl55_169 ),
inference(forward_demodulation,[],[f2320,f1638]) ).
fof(f2320,plain,
( cons(sK6,sK33(nil)) = app(cons(sK6,nil),sK33(nil))
| ~ spl55_169 ),
inference(avatar_component_clause,[],[f2318]) ).
fof(f2420,plain,
( ~ spl55_168
| ~ spl55_36
| spl55_153 ),
inference(avatar_split_clause,[],[f2419,f2162,f826,f2307]) ).
fof(f2307,plain,
( spl55_168
<=> nil = app(sK20(nil,sK6),cons(sK6,sK21(nil,sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_168])]) ).
fof(f2162,plain,
( spl55_153
<=> app(sK20(sK8,sK6),cons(sK6,sK21(sK8,sK6))) = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_153])]) ).
fof(f2419,plain,
( nil != app(sK20(nil,sK6),cons(sK6,sK21(nil,sK6)))
| ~ spl55_36
| spl55_153 ),
inference(forward_demodulation,[],[f2163,f828]) ).
fof(f2163,plain,
( app(sK20(sK8,sK6),cons(sK6,sK21(sK8,sK6))) != sK8
| spl55_153 ),
inference(avatar_component_clause,[],[f2162]) ).
fof(f2403,plain,
( spl55_124
| ~ spl55_101
| ~ spl55_121 ),
inference(avatar_split_clause,[],[f1696,f1636,f1488,f1708]) ).
fof(f1488,plain,
( spl55_101
<=> cons(sK6,cons(sK6,nil)) = app(cons(sK6,nil),cons(sK6,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_101])]) ).
fof(f1696,plain,
( cons(sK6,sK4) = app(sK4,sK4)
| ~ spl55_101
| ~ spl55_121 ),
inference(backward_demodulation,[],[f1490,f1638]) ).
fof(f1490,plain,
( cons(sK6,cons(sK6,nil)) = app(cons(sK6,nil),cons(sK6,nil))
| ~ spl55_101 ),
inference(avatar_component_clause,[],[f1488]) ).
fof(f2392,plain,
( spl55_124
| ~ spl55_101
| ~ spl55_121 ),
inference(avatar_split_clause,[],[f2378,f1636,f1488,f1708]) ).
fof(f2378,plain,
( cons(sK6,sK4) = app(sK4,sK4)
| ~ spl55_101
| ~ spl55_121 ),
inference(backward_demodulation,[],[f1490,f1638]) ).
fof(f2391,plain,
( spl55_124
| ~ spl55_106
| ~ spl55_121 ),
inference(avatar_split_clause,[],[f2379,f1636,f1525,f1708]) ).
fof(f2379,plain,
( cons(sK6,sK4) = app(sK4,sK4)
| ~ spl55_106
| ~ spl55_121 ),
inference(backward_demodulation,[],[f1527,f1638]) ).
fof(f2356,plain,
( spl55_121
| ~ spl55_91
| ~ spl55_92 ),
inference(avatar_split_clause,[],[f1789,f1370,f1360,f1636]) ).
fof(f1360,plain,
( spl55_91
<=> app(cons(sK6,nil),nil) = cons(sK6,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_91])]) ).
fof(f1370,plain,
( spl55_92
<=> sK4 = app(cons(sK6,nil),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_92])]) ).
fof(f1789,plain,
( sK4 = cons(sK6,nil)
| ~ spl55_91
| ~ spl55_92 ),
inference(backward_demodulation,[],[f1362,f1371]) ).
fof(f1371,plain,
( sK4 = app(cons(sK6,nil),nil)
| ~ spl55_92 ),
inference(avatar_component_clause,[],[f1370]) ).
fof(f1362,plain,
( app(cons(sK6,nil),nil) = cons(sK6,nil)
| ~ spl55_91 ),
inference(avatar_component_clause,[],[f1360]) ).
fof(f2349,plain,
( spl55_72
| ~ spl55_37
| ~ spl55_69 ),
inference(avatar_split_clause,[],[f1293,f1113,f831,f1147]) ).
fof(f1147,plain,
( spl55_72
<=> sK33(nil) = cons(sK34(sK33(nil)),sK33(sK33(nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_72])]) ).
fof(f831,plain,
( spl55_37
<=> nil = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_37])]) ).
fof(f1113,plain,
( spl55_69
<=> cons(sK34(sK33(sK7)),sK33(sK33(sK7))) = sK33(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_69])]) ).
fof(f1293,plain,
( sK33(nil) = cons(sK34(sK33(nil)),sK33(sK33(nil)))
| ~ spl55_37
| ~ spl55_69 ),
inference(backward_demodulation,[],[f1115,f833]) ).
fof(f833,plain,
( nil = sK7
| ~ spl55_37 ),
inference(avatar_component_clause,[],[f831]) ).
fof(f1115,plain,
( cons(sK34(sK33(sK7)),sK33(sK33(sK7))) = sK33(sK7)
| ~ spl55_69 ),
inference(avatar_component_clause,[],[f1113]) ).
fof(f2348,plain,
( spl55_121
| ~ spl55_91
| ~ spl55_92 ),
inference(avatar_split_clause,[],[f2347,f1370,f1360,f1636]) ).
fof(f2347,plain,
( sK4 = cons(sK6,nil)
| ~ spl55_91
| ~ spl55_92 ),
inference(backward_demodulation,[],[f1362,f1371]) ).
fof(f2346,plain,
( spl55_92
| ~ spl55_37
| ~ spl55_41
| ~ spl55_90 ),
inference(avatar_split_clause,[],[f1640,f1355,f855,f831,f1370]) ).
fof(f855,plain,
( spl55_41
<=> sK4 = app(app(sK7,cons(sK6,nil)),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_41])]) ).
fof(f1355,plain,
( spl55_90
<=> app(nil,cons(sK6,nil)) = cons(sK6,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_90])]) ).
fof(f1640,plain,
( sK4 = app(cons(sK6,nil),nil)
| ~ spl55_37
| ~ spl55_41
| ~ spl55_90 ),
inference(forward_demodulation,[],[f1125,f1357]) ).
fof(f1357,plain,
( app(nil,cons(sK6,nil)) = cons(sK6,nil)
| ~ spl55_90 ),
inference(avatar_component_clause,[],[f1355]) ).
fof(f1125,plain,
( sK4 = app(app(nil,cons(sK6,nil)),nil)
| ~ spl55_37
| ~ spl55_41 ),
inference(backward_demodulation,[],[f857,f833]) ).
fof(f857,plain,
( sK4 = app(app(sK7,cons(sK6,nil)),nil)
| ~ spl55_41 ),
inference(avatar_component_clause,[],[f855]) ).
fof(f2345,plain,
( spl55_92
| ~ spl55_37
| ~ spl55_41
| ~ spl55_90 ),
inference(avatar_split_clause,[],[f2344,f1355,f855,f831,f1370]) ).
fof(f2344,plain,
( sK4 = app(cons(sK6,nil),nil)
| ~ spl55_37
| ~ spl55_41
| ~ spl55_90 ),
inference(forward_demodulation,[],[f1641,f1357]) ).
fof(f1641,plain,
( sK4 = app(app(nil,cons(sK6,nil)),nil)
| ~ spl55_37
| ~ spl55_41 ),
inference(forward_demodulation,[],[f857,f833]) ).
fof(f2343,plain,
( spl55_92
| ~ spl55_37
| ~ spl55_41
| ~ spl55_90 ),
inference(avatar_split_clause,[],[f2342,f1355,f855,f831,f1370]) ).
fof(f2342,plain,
( sK4 = app(cons(sK6,nil),nil)
| ~ spl55_37
| ~ spl55_41
| ~ spl55_90 ),
inference(forward_demodulation,[],[f1125,f1357]) ).
fof(f2341,plain,
( spl55_92
| ~ spl55_13
| ~ spl55_36
| ~ spl55_37
| ~ spl55_90 ),
inference(avatar_split_clause,[],[f2340,f1355,f831,f826,f649,f1370]) ).
fof(f649,plain,
( spl55_13
<=> sK4 = app(app(sK7,cons(sK6,nil)),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_13])]) ).
fof(f2340,plain,
( sK4 = app(cons(sK6,nil),nil)
| ~ spl55_13
| ~ spl55_36
| ~ spl55_37
| ~ spl55_90 ),
inference(forward_demodulation,[],[f1795,f1357]) ).
fof(f1795,plain,
( sK4 = app(app(nil,cons(sK6,nil)),nil)
| ~ spl55_13
| ~ spl55_36
| ~ spl55_37 ),
inference(forward_demodulation,[],[f852,f833]) ).
fof(f852,plain,
( sK4 = app(app(sK7,cons(sK6,nil)),nil)
| ~ spl55_13
| ~ spl55_36 ),
inference(backward_demodulation,[],[f651,f828]) ).
fof(f651,plain,
( sK4 = app(app(sK7,cons(sK6,nil)),sK8)
| ~ spl55_13 ),
inference(avatar_component_clause,[],[f649]) ).
fof(f2339,plain,
( spl55_124
| ~ spl55_106
| ~ spl55_121 ),
inference(avatar_split_clause,[],[f1697,f1636,f1525,f1708]) ).
fof(f1697,plain,
( cons(sK6,sK4) = app(sK4,sK4)
| ~ spl55_106
| ~ spl55_121 ),
inference(backward_demodulation,[],[f1527,f1638]) ).
fof(f2336,plain,
( spl55_72
| ~ spl55_36
| ~ spl55_128 ),
inference(avatar_split_clause,[],[f2289,f1771,f826,f1147]) ).
fof(f1771,plain,
( spl55_128
<=> sK33(sK8) = cons(sK34(sK33(sK8)),sK33(sK33(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_128])]) ).
fof(f2289,plain,
( sK33(nil) = cons(sK34(sK33(nil)),sK33(sK33(nil)))
| ~ spl55_36
| ~ spl55_128 ),
inference(backward_demodulation,[],[f1773,f828]) ).
fof(f1773,plain,
( sK33(sK8) = cons(sK34(sK33(sK8)),sK33(sK33(sK8)))
| ~ spl55_128 ),
inference(avatar_component_clause,[],[f1771]) ).
fof(f2323,plain,
( spl55_92
| ~ spl55_36
| ~ spl55_93 ),
inference(avatar_split_clause,[],[f2280,f1375,f826,f1370]) ).
fof(f1375,plain,
( spl55_93
<=> app(cons(sK6,nil),sK8) = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_93])]) ).
fof(f2280,plain,
( sK4 = app(cons(sK6,nil),nil)
| ~ spl55_36
| ~ spl55_93 ),
inference(backward_demodulation,[],[f1377,f828]) ).
fof(f1377,plain,
( app(cons(sK6,nil),sK8) = sK4
| ~ spl55_93 ),
inference(avatar_component_clause,[],[f1375]) ).
fof(f2322,plain,
( spl55_121
| ~ spl55_36
| ~ spl55_107 ),
inference(avatar_split_clause,[],[f2283,f1538,f826,f1636]) ).
fof(f1538,plain,
( spl55_107
<=> cons(sK6,sK8) = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_107])]) ).
fof(f2283,plain,
( sK4 = cons(sK6,nil)
| ~ spl55_36
| ~ spl55_107 ),
inference(backward_demodulation,[],[f1540,f828]) ).
fof(f1540,plain,
( cons(sK6,sK8) = sK4
| ~ spl55_107 ),
inference(avatar_component_clause,[],[f1538]) ).
fof(f2321,plain,
( spl55_169
| ~ spl55_36
| ~ spl55_149 ),
inference(avatar_split_clause,[],[f2295,f2137,f826,f2318]) ).
fof(f2137,plain,
( spl55_149
<=> cons(sK6,sK33(sK8)) = app(cons(sK6,nil),sK33(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_149])]) ).
fof(f2295,plain,
( cons(sK6,sK33(nil)) = app(cons(sK6,nil),sK33(nil))
| ~ spl55_36
| ~ spl55_149 ),
inference(backward_demodulation,[],[f2139,f828]) ).
fof(f2139,plain,
( cons(sK6,sK33(sK8)) = app(cons(sK6,nil),sK33(sK8))
| ~ spl55_149 ),
inference(avatar_component_clause,[],[f2137]) ).
fof(f2310,plain,
( spl55_168
| ~ spl55_36
| ~ spl55_153 ),
inference(avatar_split_clause,[],[f2296,f2162,f826,f2307]) ).
fof(f2296,plain,
( nil = app(sK20(nil,sK6),cons(sK6,sK21(nil,sK6)))
| ~ spl55_36
| ~ spl55_153 ),
inference(backward_demodulation,[],[f2164,f828]) ).
fof(f2164,plain,
( app(sK20(sK8,sK6),cons(sK6,sK21(sK8,sK6))) = sK8
| ~ spl55_153 ),
inference(avatar_component_clause,[],[f2162]) ).
fof(f2272,plain,
( spl55_92
| ~ spl55_37
| ~ spl55_41
| ~ spl55_90 ),
inference(avatar_split_clause,[],[f1781,f1355,f855,f831,f1370]) ).
fof(f1781,plain,
( sK4 = app(cons(sK6,nil),nil)
| ~ spl55_37
| ~ spl55_41
| ~ spl55_90 ),
inference(forward_demodulation,[],[f1780,f1357]) ).
fof(f1780,plain,
( sK4 = app(app(nil,cons(sK6,nil)),nil)
| ~ spl55_37
| ~ spl55_41 ),
inference(forward_demodulation,[],[f857,f833]) ).
fof(f2270,plain,
( spl55_92
| ~ spl55_13
| ~ spl55_36
| ~ spl55_37
| ~ spl55_90 ),
inference(avatar_split_clause,[],[f1796,f1355,f831,f826,f649,f1370]) ).
fof(f1796,plain,
( sK4 = app(cons(sK6,nil),nil)
| ~ spl55_13
| ~ spl55_36
| ~ spl55_37
| ~ spl55_90 ),
inference(forward_demodulation,[],[f1795,f1357]) ).
fof(f2269,plain,
( spl55_143
| ~ spl55_1
| ~ spl55_124 ),
inference(avatar_split_clause,[],[f2006,f1708,f590,f2026]) ).
fof(f2006,plain,
( ~ ssList(sK4)
| ssList(cons(sK6,sK4))
| ~ spl55_124 ),
inference(duplicate_literal_removal,[],[f2005]) ).
fof(f2005,plain,
( ~ ssList(sK4)
| ~ ssList(sK4)
| ssList(cons(sK6,sK4))
| ~ spl55_124 ),
inference(superposition,[],[f441,f1710]) ).
fof(f441,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f221]) ).
fof(f221,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ssList(app(X0,X1)) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f2268,plain,
( spl55_92
| ~ spl55_13
| ~ spl55_36
| ~ spl55_37
| ~ spl55_90 ),
inference(avatar_split_clause,[],[f2267,f1355,f831,f826,f649,f1370]) ).
fof(f2267,plain,
( sK4 = app(cons(sK6,nil),nil)
| ~ spl55_13
| ~ spl55_36
| ~ spl55_37
| ~ spl55_90 ),
inference(forward_demodulation,[],[f2266,f1357]) ).
fof(f2266,plain,
( sK4 = app(app(nil,cons(sK6,nil)),nil)
| ~ spl55_13
| ~ spl55_36
| ~ spl55_37 ),
inference(forward_demodulation,[],[f852,f833]) ).
fof(f2265,plain,
( spl55_124
| ~ spl55_101
| ~ spl55_121 ),
inference(avatar_split_clause,[],[f1817,f1636,f1488,f1708]) ).
fof(f1817,plain,
( cons(sK6,sK4) = app(sK4,sK4)
| ~ spl55_101
| ~ spl55_121 ),
inference(backward_demodulation,[],[f1490,f1638]) ).
fof(f2264,plain,
( spl55_124
| ~ spl55_106
| ~ spl55_121 ),
inference(avatar_split_clause,[],[f1818,f1636,f1525,f1708]) ).
fof(f1818,plain,
( cons(sK6,sK4) = app(sK4,sK4)
| ~ spl55_106
| ~ spl55_121 ),
inference(backward_demodulation,[],[f1527,f1638]) ).
fof(f2263,plain,
( spl55_92
| ~ spl55_59
| ~ spl55_90 ),
inference(avatar_split_clause,[],[f1643,f1355,f1034,f1370]) ).
fof(f1034,plain,
( spl55_59
<=> sK4 = app(app(nil,cons(sK6,nil)),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_59])]) ).
fof(f1643,plain,
( sK4 = app(cons(sK6,nil),nil)
| ~ spl55_59
| ~ spl55_90 ),
inference(forward_demodulation,[],[f1036,f1357]) ).
fof(f1036,plain,
( sK4 = app(app(nil,cons(sK6,nil)),nil)
| ~ spl55_59 ),
inference(avatar_component_clause,[],[f1034]) ).
fof(f2262,plain,
( spl55_92
| ~ spl55_59
| ~ spl55_90 ),
inference(avatar_split_clause,[],[f2261,f1355,f1034,f1370]) ).
fof(f2261,plain,
( sK4 = app(cons(sK6,nil),nil)
| ~ spl55_59
| ~ spl55_90 ),
inference(forward_demodulation,[],[f1036,f1357]) ).
fof(f2260,plain,
( spl55_92
| ~ spl55_37
| ~ spl55_41
| ~ spl55_90 ),
inference(avatar_split_clause,[],[f1642,f1355,f855,f831,f1370]) ).
fof(f1642,plain,
( sK4 = app(cons(sK6,nil),nil)
| ~ spl55_37
| ~ spl55_41
| ~ spl55_90 ),
inference(forward_demodulation,[],[f1641,f1357]) ).
fof(f2259,plain,
( spl55_166
| spl55_167
| ~ spl55_6
| ~ spl55_44 ),
inference(avatar_split_clause,[],[f2229,f895,f614,f2256,f2253]) ).
fof(f2256,plain,
( spl55_167
<=> sK33(sK4) = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_167])]) ).
fof(f614,plain,
( spl55_6
<=> ssList(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_6])]) ).
fof(f2229,plain,
( ! [X18] :
( sK33(sK4) = sK8
| app(X18,sK8) != app(X18,sK33(sK4))
| ~ ssList(X18) )
| ~ spl55_6
| ~ spl55_44 ),
inference(resolution,[],[f1327,f896]) ).
fof(f1327,plain,
( ! [X4,X5] :
( ~ ssList(X5)
| ~ ssList(X4)
| sK8 = X5
| app(X4,X5) != app(X4,sK8) )
| ~ spl55_6 ),
inference(resolution,[],[f616,f341]) ).
fof(f341,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| app(X1,X2) != app(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X2 ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ ssList(X2)
| app(X1,X2) != app(X1,X0)
| X0 = X2 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f141]) ).
fof(f141,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/sandbox/benchmark/theBenchmark.p',ax80) ).
fof(f616,plain,
( ssList(sK8)
| ~ spl55_6 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f2251,plain,
( spl55_36
| spl55_165
| ~ spl55_6
| ~ spl55_11 ),
inference(avatar_split_clause,[],[f2247,f638,f614,f2249,f826]) ).
fof(f2249,plain,
( spl55_165
<=> ! [X7] :
( ~ ssList(X7)
| app(X7,sK8) != X7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_165])]) ).
fof(f2247,plain,
( ! [X7] :
( ~ ssList(X7)
| app(X7,sK8) != X7
| nil = sK8 )
| ~ spl55_6
| ~ spl55_11 ),
inference(forward_subsumption_demodulation,[],[f2223,f525]) ).
fof(f2223,plain,
( ! [X7] :
( app(X7,sK8) != app(X7,nil)
| ~ ssList(X7)
| nil = sK8 )
| ~ spl55_6
| ~ spl55_11 ),
inference(resolution,[],[f1327,f639]) ).
fof(f2246,plain,
( spl55_164
| spl55_95
| ~ spl55_1
| ~ spl55_6 ),
inference(avatar_split_clause,[],[f2224,f614,f590,f1404,f2244]) ).
fof(f2244,plain,
( spl55_164
<=> ! [X8] :
( ~ ssList(X8)
| app(X8,sK8) != app(X8,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_164])]) ).
fof(f1404,plain,
( spl55_95
<=> sK4 = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_95])]) ).
fof(f2224,plain,
( ! [X8] :
( sK4 = sK8
| ~ ssList(X8)
| app(X8,sK8) != app(X8,sK4) )
| ~ spl55_1
| ~ spl55_6 ),
inference(resolution,[],[f1327,f592]) ).
fof(f2242,plain,
( spl55_163
| spl55_116
| ~ spl55_6
| ~ spl55_109 ),
inference(avatar_split_clause,[],[f2230,f1571,f614,f1602,f2240]) ).
fof(f2240,plain,
( spl55_163
<=> ! [X19] :
( ~ ssList(X19)
| app(X19,sK8) != app(X19,sK33(sK8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_163])]) ).
fof(f1602,plain,
( spl55_116
<=> sK33(sK8) = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_116])]) ).
fof(f1571,plain,
( spl55_109
<=> ssList(sK33(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_109])]) ).
fof(f2230,plain,
( ! [X19] :
( sK33(sK8) = sK8
| ~ ssList(X19)
| app(X19,sK8) != app(X19,sK33(sK8)) )
| ~ spl55_6
| ~ spl55_109 ),
inference(resolution,[],[f1327,f1572]) ).
fof(f1572,plain,
( ssList(sK33(sK8))
| ~ spl55_109 ),
inference(avatar_component_clause,[],[f1571]) ).
fof(f2238,plain,
( spl55_161
| spl55_162
| ~ spl55_6
| ~ spl55_78 ),
inference(avatar_split_clause,[],[f2221,f1224,f614,f2236,f2232]) ).
fof(f2232,plain,
( spl55_161
<=> sK8 = cons(sK6,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_161])]) ).
fof(f2236,plain,
( spl55_162
<=> ! [X3] :
( app(X3,cons(sK6,nil)) != app(X3,sK8)
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_162])]) ).
fof(f2221,plain,
( ! [X3] :
( app(X3,cons(sK6,nil)) != app(X3,sK8)
| ~ ssList(X3)
| sK8 = cons(sK6,nil) )
| ~ spl55_6
| ~ spl55_78 ),
inference(resolution,[],[f1327,f1225]) ).
fof(f2219,plain,
( ~ spl55_18
| ~ spl55_11
| spl55_134
| ~ spl55_37
| ~ spl55_65
| ~ spl55_90 ),
inference(avatar_split_clause,[],[f2202,f1355,f1083,f831,f1920,f638,f677]) ).
fof(f1920,plain,
( spl55_134
<=> ! [X1] :
( ~ memberP(sK4,X1)
| ~ ssItem(X1)
| sK6 = X1
| memberP(nil,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_134])]) ).
fof(f1083,plain,
( spl55_65
<=> ! [X0] :
( memberP(nil,X0)
| ~ memberP(sK4,X0)
| memberP(app(sK7,cons(sK6,nil)),X0)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_65])]) ).
fof(f2202,plain,
( ! [X0] :
( ~ memberP(sK4,X0)
| memberP(nil,X0)
| ~ ssList(nil)
| ~ ssItem(X0)
| sK6 = X0
| ~ ssItem(sK6) )
| ~ spl55_37
| ~ spl55_65
| ~ spl55_90 ),
inference(duplicate_literal_removal,[],[f2198]) ).
fof(f2198,plain,
( ! [X0] :
( ~ memberP(sK4,X0)
| ~ ssItem(X0)
| memberP(nil,X0)
| ~ ssItem(sK6)
| ~ ssItem(X0)
| sK6 = X0
| ~ ssList(nil)
| memberP(nil,X0) )
| ~ spl55_37
| ~ spl55_65
| ~ spl55_90 ),
inference(resolution,[],[f2193,f424]) ).
fof(f2193,plain,
( ! [X0] :
( memberP(cons(sK6,nil),X0)
| ~ ssItem(X0)
| memberP(nil,X0)
| ~ memberP(sK4,X0) )
| ~ spl55_37
| ~ spl55_65
| ~ spl55_90 ),
inference(forward_demodulation,[],[f1798,f1357]) ).
fof(f1798,plain,
( ! [X0] :
( memberP(nil,X0)
| memberP(app(nil,cons(sK6,nil)),X0)
| ~ memberP(sK4,X0)
| ~ ssItem(X0) )
| ~ spl55_37
| ~ spl55_65 ),
inference(forward_demodulation,[],[f1084,f833]) ).
fof(f1084,plain,
( ! [X0] :
( memberP(app(sK7,cons(sK6,nil)),X0)
| ~ memberP(sK4,X0)
| ~ ssItem(X0)
| memberP(nil,X0) )
| ~ spl55_65 ),
inference(avatar_component_clause,[],[f1083]) ).
fof(f2218,plain,
( ~ spl55_78
| spl55_160
| ~ spl55_18
| ~ spl55_37
| ~ spl55_65
| ~ spl55_90 ),
inference(avatar_split_clause,[],[f2214,f1355,f1083,f831,f677,f2216,f1224]) ).
fof(f2216,plain,
( spl55_160
<=> ! [X4,X5] :
( memberP(cons(sK6,X5),X4)
| memberP(nil,X4)
| ~ ssItem(X4)
| ~ memberP(sK4,X4)
| ~ ssList(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_160])]) ).
fof(f2214,plain,
( ! [X4,X5] :
( memberP(cons(sK6,X5),X4)
| ~ ssList(X5)
| ~ memberP(sK4,X4)
| ~ ssItem(X4)
| memberP(nil,X4)
| ~ ssList(cons(sK6,nil)) )
| ~ spl55_18
| ~ spl55_37
| ~ spl55_65
| ~ spl55_90 ),
inference(forward_subsumption_demodulation,[],[f2203,f873]) ).
fof(f2203,plain,
( ! [X4,X5] :
( ~ ssList(cons(sK6,nil))
| memberP(nil,X4)
| ~ ssList(X5)
| ~ ssItem(X4)
| memberP(app(cons(sK6,nil),X5),X4)
| ~ memberP(sK4,X4) )
| ~ spl55_37
| ~ spl55_65
| ~ spl55_90 ),
inference(duplicate_literal_removal,[],[f2201]) ).
fof(f2201,plain,
( ! [X4,X5] :
( ~ memberP(sK4,X4)
| memberP(nil,X4)
| ~ ssItem(X4)
| ~ ssItem(X4)
| ~ ssList(cons(sK6,nil))
| memberP(app(cons(sK6,nil),X5),X4)
| ~ ssList(X5) )
| ~ spl55_37
| ~ spl55_65
| ~ spl55_90 ),
inference(resolution,[],[f2193,f380]) ).
fof(f2213,plain,
( ~ spl55_78
| spl55_159
| ~ spl55_37
| ~ spl55_65
| ~ spl55_90 ),
inference(avatar_split_clause,[],[f2204,f1355,f1083,f831,f2211,f1224]) ).
fof(f2211,plain,
( spl55_159
<=> ! [X2,X3] :
( ~ memberP(sK4,X2)
| ~ ssList(X3)
| memberP(app(X3,cons(sK6,nil)),X2)
| memberP(nil,X2)
| ~ ssItem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_159])]) ).
fof(f2204,plain,
( ! [X2,X3] :
( ~ memberP(sK4,X2)
| ~ ssItem(X2)
| ~ ssList(cons(sK6,nil))
| memberP(nil,X2)
| memberP(app(X3,cons(sK6,nil)),X2)
| ~ ssList(X3) )
| ~ spl55_37
| ~ spl55_65
| ~ spl55_90 ),
inference(duplicate_literal_removal,[],[f2200]) ).
fof(f2200,plain,
( ! [X2,X3] :
( ~ ssItem(X2)
| memberP(nil,X2)
| memberP(app(X3,cons(sK6,nil)),X2)
| ~ ssList(X3)
| ~ memberP(sK4,X2)
| ~ ssList(cons(sK6,nil))
| ~ ssItem(X2) )
| ~ spl55_37
| ~ spl55_65
| ~ spl55_90 ),
inference(resolution,[],[f2193,f381]) ).
fof(f2209,plain,
( ~ spl55_78
| spl55_158
| ~ spl55_37
| ~ spl55_65
| ~ spl55_90 ),
inference(avatar_split_clause,[],[f2205,f1355,f1083,f831,f2207,f1224]) ).
fof(f2207,plain,
( spl55_158
<=> ! [X1] :
( memberP(nil,X1)
| ~ memberP(sK4,X1)
| ~ ssItem(X1)
| app(sK20(cons(sK6,nil),X1),cons(X1,sK21(cons(sK6,nil),X1))) = cons(sK6,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_158])]) ).
fof(f2205,plain,
( ! [X1] :
( memberP(nil,X1)
| app(sK20(cons(sK6,nil),X1),cons(X1,sK21(cons(sK6,nil),X1))) = cons(sK6,nil)
| ~ ssItem(X1)
| ~ ssList(cons(sK6,nil))
| ~ memberP(sK4,X1) )
| ~ spl55_37
| ~ spl55_65
| ~ spl55_90 ),
inference(duplicate_literal_removal,[],[f2199]) ).
fof(f2199,plain,
( ! [X1] :
( ~ memberP(sK4,X1)
| ~ ssItem(X1)
| app(sK20(cons(sK6,nil),X1),cons(X1,sK21(cons(sK6,nil),X1))) = cons(sK6,nil)
| ~ ssList(cons(sK6,nil))
| memberP(nil,X1)
| ~ ssItem(X1) )
| ~ spl55_37
| ~ spl55_65
| ~ spl55_90 ),
inference(resolution,[],[f2193,f427]) ).
fof(f2192,plain,
( spl55_157
| ~ spl55_78
| ~ spl55_6
| ~ spl55_93 ),
inference(avatar_split_clause,[],[f2171,f1375,f614,f1224,f2188]) ).
fof(f2188,plain,
( spl55_157
<=> ! [X1] :
( cons(sK6,nil) = X1
| app(X1,sK8) != sK4
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_157])]) ).
fof(f2171,plain,
( ! [X1] :
( ~ ssList(cons(sK6,nil))
| ~ ssList(X1)
| cons(sK6,nil) = X1
| app(X1,sK8) != sK4 )
| ~ spl55_6
| ~ spl55_93 ),
inference(superposition,[],[f1326,f1377]) ).
fof(f1326,plain,
( ! [X2,X3] :
( app(X2,sK8) != app(X3,sK8)
| ~ ssList(X2)
| X2 = X3
| ~ ssList(X3) )
| ~ spl55_6 ),
inference(resolution,[],[f616,f537]) ).
fof(f537,plain,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| app(X2,X1) != app(X0,X1)
| ~ ssList(X0)
| X0 = X2 ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( app(X2,X1) != app(X0,X1)
| X0 = X2
| ~ ssList(X2) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f176]) ).
fof(f176,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/sandbox/benchmark/theBenchmark.p',ax79) ).
fof(f2191,plain,
( ~ spl55_11
| spl55_156
| ~ spl55_6
| ~ spl55_26 ),
inference(avatar_split_clause,[],[f2175,f725,f614,f2184,f638]) ).
fof(f2184,plain,
( spl55_156
<=> ! [X2] :
( nil = X2
| app(X2,sK8) != sK8
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_156])]) ).
fof(f725,plain,
( spl55_26
<=> app(nil,sK8) = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_26])]) ).
fof(f2175,plain,
( ! [X2] :
( nil = X2
| ~ ssList(nil)
| app(X2,sK8) != sK8
| ~ ssList(X2) )
| ~ spl55_6
| ~ spl55_26 ),
inference(superposition,[],[f1326,f727]) ).
fof(f727,plain,
( app(nil,sK8) = sK8
| ~ spl55_26 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f2190,plain,
( ~ spl55_78
| spl55_157
| ~ spl55_6
| ~ spl55_93 ),
inference(avatar_split_clause,[],[f2174,f1375,f614,f2188,f1224]) ).
fof(f2174,plain,
( ! [X1] :
( cons(sK6,nil) = X1
| ~ ssList(cons(sK6,nil))
| ~ ssList(X1)
| app(X1,sK8) != sK4 )
| ~ spl55_6
| ~ spl55_93 ),
inference(superposition,[],[f1326,f1377]) ).
fof(f2186,plain,
( spl55_156
| ~ spl55_11
| ~ spl55_6
| ~ spl55_26 ),
inference(avatar_split_clause,[],[f2172,f725,f614,f638,f2184]) ).
fof(f2172,plain,
( ! [X2] :
( ~ ssList(nil)
| nil = X2
| ~ ssList(X2)
| app(X2,sK8) != sK8 )
| ~ spl55_6
| ~ spl55_26 ),
inference(superposition,[],[f1326,f727]) ).
fof(f2182,plain,
( ~ spl55_1
| spl55_155
| ~ spl55_6
| ~ spl55_130 ),
inference(avatar_split_clause,[],[f2170,f1826,f614,f2179,f590]) ).
fof(f2179,plain,
( spl55_155
<=> ! [X0] :
( sK4 != app(X0,sK8)
| ~ ssList(X0)
| sK4 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_155])]) ).
fof(f1826,plain,
( spl55_130
<=> sK4 = app(sK4,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_130])]) ).
fof(f2170,plain,
( ! [X0] :
( sK4 != app(X0,sK8)
| ~ ssList(X0)
| ~ ssList(sK4)
| sK4 = X0 )
| ~ spl55_6
| ~ spl55_130 ),
inference(superposition,[],[f1326,f1828]) ).
fof(f1828,plain,
( sK4 = app(sK4,sK8)
| ~ spl55_130 ),
inference(avatar_component_clause,[],[f1826]) ).
fof(f2181,plain,
( ~ spl55_1
| spl55_155
| ~ spl55_6
| ~ spl55_130 ),
inference(avatar_split_clause,[],[f2173,f1826,f614,f2179,f590]) ).
fof(f2173,plain,
( ! [X0] :
( sK4 != app(X0,sK8)
| sK4 = X0
| ~ ssList(X0)
| ~ ssList(sK4) )
| ~ spl55_6
| ~ spl55_130 ),
inference(superposition,[],[f1326,f1828]) ).
fof(f2169,plain,
( ~ spl55_18
| spl55_154
| ~ spl55_6
| ~ spl55_150 ),
inference(avatar_split_clause,[],[f2155,f2146,f614,f2167,f677]) ).
fof(f2146,plain,
( spl55_150
<=> memberP(sK8,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_150])]) ).
fof(f2155,plain,
( ! [X0] :
( ~ ssList(sK8)
| memberP(app(X0,sK8),sK6)
| ~ ssList(X0)
| ~ ssItem(sK6) )
| ~ spl55_150 ),
inference(resolution,[],[f2148,f381]) ).
fof(f2148,plain,
( memberP(sK8,sK6)
| ~ spl55_150 ),
inference(avatar_component_clause,[],[f2146]) ).
fof(f2165,plain,
( ~ spl55_18
| spl55_153
| ~ spl55_6
| ~ spl55_150 ),
inference(avatar_split_clause,[],[f2154,f2146,f614,f2162,f677]) ).
fof(f2154,plain,
( ~ ssList(sK8)
| app(sK20(sK8,sK6),cons(sK6,sK21(sK8,sK6))) = sK8
| ~ ssItem(sK6)
| ~ spl55_150 ),
inference(resolution,[],[f2148,f427]) ).
fof(f2160,plain,
( ~ spl55_6
| ~ spl55_18
| spl55_152
| ~ spl55_150 ),
inference(avatar_split_clause,[],[f2156,f2146,f2158,f677,f614]) ).
fof(f2156,plain,
( ! [X1] :
( ~ ssList(X1)
| ~ ssItem(sK6)
| memberP(app(sK8,X1),sK6)
| ~ ssList(sK8) )
| ~ spl55_150 ),
inference(resolution,[],[f2148,f380]) ).
fof(f2153,plain,
( spl55_150
| ~ spl55_18
| spl55_151
| ~ spl55_87
| ~ spl55_90
| ~ spl55_103 ),
inference(avatar_split_clause,[],[f2141,f1510,f1355,f1336,f2150,f677,f2146]) ).
fof(f2150,plain,
( spl55_151
<=> memberP(cons(sK6,nil),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_151])]) ).
fof(f1336,plain,
( spl55_87
<=> ! [X0] :
( ~ ssItem(X0)
| memberP(app(nil,cons(sK6,nil)),X0)
| memberP(sK8,X0)
| ~ memberP(sK4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_87])]) ).
fof(f1510,plain,
( spl55_103
<=> memberP(sK4,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_103])]) ).
fof(f2141,plain,
( memberP(cons(sK6,nil),sK6)
| ~ ssItem(sK6)
| memberP(sK8,sK6)
| ~ spl55_87
| ~ spl55_90
| ~ spl55_103 ),
inference(resolution,[],[f1365,f1512]) ).
fof(f1512,plain,
( memberP(sK4,sK6)
| ~ spl55_103 ),
inference(avatar_component_clause,[],[f1510]) ).
fof(f1365,plain,
( ! [X0] :
( ~ memberP(sK4,X0)
| ~ ssItem(X0)
| memberP(cons(sK6,nil),X0)
| memberP(sK8,X0) )
| ~ spl55_87
| ~ spl55_90 ),
inference(backward_demodulation,[],[f1337,f1357]) ).
fof(f1337,plain,
( ! [X0] :
( ~ memberP(sK4,X0)
| ~ ssItem(X0)
| memberP(app(nil,cons(sK6,nil)),X0)
| memberP(sK8,X0) )
| ~ spl55_87 ),
inference(avatar_component_clause,[],[f1336]) ).
fof(f2140,plain,
( spl55_149
| ~ spl55_18
| ~ spl55_109 ),
inference(avatar_split_clause,[],[f2134,f1571,f677,f2137]) ).
fof(f2134,plain,
( cons(sK6,sK33(sK8)) = app(cons(sK6,nil),sK33(sK8))
| ~ spl55_18
| ~ spl55_109 ),
inference(resolution,[],[f873,f1572]) ).
fof(f2108,plain,
( spl55_148
| ~ spl55_6
| ~ spl55_108
| ~ spl55_113 ),
inference(avatar_split_clause,[],[f2095,f1589,f1567,f614,f2106]) ).
fof(f2106,plain,
( spl55_148
<=> ! [X1] :
( memberP(app(sK8,X1),sK34(sK8))
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_148])]) ).
fof(f1567,plain,
( spl55_108
<=> ssItem(sK34(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_108])]) ).
fof(f1589,plain,
( spl55_113
<=> memberP(sK8,sK34(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_113])]) ).
fof(f2095,plain,
( ! [X1] :
( ~ ssItem(sK34(sK8))
| ~ ssList(sK8)
| memberP(app(sK8,X1),sK34(sK8))
| ~ ssList(X1) )
| ~ spl55_113 ),
inference(resolution,[],[f1591,f380]) ).
fof(f1591,plain,
( memberP(sK8,sK34(sK8))
| ~ spl55_113 ),
inference(avatar_component_clause,[],[f1589]) ).
fof(f2104,plain,
( ~ spl55_108
| ~ spl55_6
| spl55_147
| ~ spl55_113 ),
inference(avatar_split_clause,[],[f2094,f1589,f2102,f614,f1567]) ).
fof(f2102,plain,
( spl55_147
<=> ! [X0] :
( memberP(app(X0,sK8),sK34(sK8))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_147])]) ).
fof(f2094,plain,
( ! [X0] :
( memberP(app(X0,sK8),sK34(sK8))
| ~ ssList(X0)
| ~ ssList(sK8)
| ~ ssItem(sK34(sK8)) )
| ~ spl55_113 ),
inference(resolution,[],[f1591,f381]) ).
fof(f2100,plain,
( spl55_146
| ~ spl55_108
| ~ spl55_6
| ~ spl55_113 ),
inference(avatar_split_clause,[],[f2093,f1589,f614,f1567,f2097]) ).
fof(f2097,plain,
( spl55_146
<=> app(sK20(sK8,sK34(sK8)),cons(sK34(sK8),sK21(sK8,sK34(sK8)))) = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_146])]) ).
fof(f2093,plain,
( ~ ssList(sK8)
| ~ ssItem(sK34(sK8))
| app(sK20(sK8,sK34(sK8)),cons(sK34(sK8),sK21(sK8,sK34(sK8)))) = sK8
| ~ spl55_113 ),
inference(resolution,[],[f1591,f427]) ).
fof(f2042,plain,
( ~ spl55_59
| ~ spl55_37
| spl55_41 ),
inference(avatar_split_clause,[],[f1720,f855,f831,f1034]) ).
fof(f1720,plain,
( sK4 != app(app(nil,cons(sK6,nil)),nil)
| ~ spl55_37
| spl55_41 ),
inference(forward_demodulation,[],[f856,f833]) ).
fof(f856,plain,
( sK4 != app(app(sK7,cons(sK6,nil)),nil)
| spl55_41 ),
inference(avatar_component_clause,[],[f855]) ).
fof(f2041,plain,
( ~ spl55_59
| ~ spl55_37
| spl55_41 ),
inference(avatar_split_clause,[],[f1324,f855,f831,f1034]) ).
fof(f1324,plain,
( sK4 != app(app(nil,cons(sK6,nil)),nil)
| ~ spl55_37
| spl55_41 ),
inference(forward_demodulation,[],[f856,f833]) ).
fof(f2040,plain,
( ~ spl55_59
| ~ spl55_37
| spl55_41 ),
inference(avatar_split_clause,[],[f2039,f855,f831,f1034]) ).
fof(f2039,plain,
( sK4 != app(app(nil,cons(sK6,nil)),nil)
| ~ spl55_37
| spl55_41 ),
inference(forward_demodulation,[],[f856,f833]) ).
fof(f2038,plain,
( spl55_145
| ~ spl55_1
| ~ spl55_18
| ~ spl55_103 ),
inference(avatar_split_clause,[],[f1926,f1510,f677,f590,f2036]) ).
fof(f2036,plain,
( spl55_145
<=> ! [X1] :
( ~ ssList(X1)
| memberP(app(sK4,X1),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_145])]) ).
fof(f1926,plain,
( ! [X1] :
( ~ ssItem(sK6)
| ~ ssList(sK4)
| ~ ssList(X1)
| memberP(app(sK4,X1),sK6) )
| ~ spl55_103 ),
inference(resolution,[],[f1512,f380]) ).
fof(f2034,plain,
( ~ spl55_1
| spl55_144
| ~ spl55_1
| ~ spl55_18
| ~ spl55_121
| ~ spl55_124 ),
inference(avatar_split_clause,[],[f2030,f1708,f1636,f677,f590,f2032,f590]) ).
fof(f2032,plain,
( spl55_144
<=> ! [X2] :
( sK4 = X2
| cons(sK6,sK4) != cons(sK6,X2)
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_144])]) ).
fof(f2030,plain,
( ! [X2] :
( sK4 = X2
| ~ ssList(X2)
| cons(sK6,sK4) != cons(sK6,X2)
| ~ ssList(sK4) )
| ~ spl55_1
| ~ spl55_18
| ~ spl55_121
| ~ spl55_124 ),
inference(forward_subsumption_demodulation,[],[f2000,f1800]) ).
fof(f1800,plain,
( ! [X0] :
( ~ ssList(X0)
| app(sK4,X0) = cons(sK6,X0) )
| ~ spl55_18
| ~ spl55_121 ),
inference(backward_demodulation,[],[f873,f1638]) ).
fof(f2000,plain,
( ! [X2] :
( cons(sK6,sK4) != app(sK4,X2)
| ~ ssList(X2)
| sK4 = X2
| ~ ssList(sK4) )
| ~ spl55_1
| ~ spl55_124 ),
inference(superposition,[],[f975,f1710]) ).
fof(f975,plain,
( ! [X10,X11] :
( app(X10,X11) != app(X10,sK4)
| sK4 = X11
| ~ ssList(X11)
| ~ ssList(X10) )
| ~ spl55_1 ),
inference(resolution,[],[f341,f592]) ).
fof(f2029,plain,
( ~ spl55_1
| spl55_143
| ~ spl55_124 ),
inference(avatar_split_clause,[],[f2006,f1708,f2026,f590]) ).
fof(f2024,plain,
( ~ spl55_1
| spl55_5
| ~ spl55_141
| ~ spl55_124 ),
inference(avatar_split_clause,[],[f2007,f1708,f2015,f610,f590]) ).
fof(f2007,plain,
( nil != cons(sK6,sK4)
| nil = sK4
| ~ ssList(sK4)
| ~ spl55_124 ),
inference(duplicate_literal_removal,[],[f2004]) ).
fof(f2004,plain,
( nil = sK4
| nil != cons(sK6,sK4)
| ~ ssList(sK4)
| ~ ssList(sK4)
| ~ spl55_124 ),
inference(superposition,[],[f342,f1710]) ).
fof(f342,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f224]) ).
fof(f224,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( nil = app(X0,X1)
| nil != X1
| nil != X0 )
& ( ( nil = X1
& nil = X0 )
| nil != app(X0,X1) ) ) ) ),
inference(flattening,[],[f223]) ).
fof(f223,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( nil = app(X0,X1)
| nil != X1
| nil != X0 )
& ( ( nil = X1
& nil = X0 )
| nil != app(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( nil = app(X0,X1)
<=> ( nil = X1
& nil = X0 ) ) ) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X1
& nil = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).
fof(f2023,plain,
( ~ spl55_1
| spl55_142
| ~ spl55_1
| ~ spl55_124 ),
inference(avatar_split_clause,[],[f1998,f1708,f590,f2020,f590]) ).
fof(f2020,plain,
( spl55_142
<=> ! [X1] :
( sK4 = X1
| ~ ssList(X1)
| cons(sK6,sK4) != app(X1,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_142])]) ).
fof(f1998,plain,
( ! [X0] :
( sK4 = X0
| cons(sK6,sK4) != app(X0,sK4)
| ~ ssList(sK4)
| ~ ssList(X0) )
| ~ spl55_1
| ~ spl55_124 ),
inference(superposition,[],[f1012,f1710]) ).
fof(f1012,plain,
( ! [X10,X11] :
( app(X11,sK4) != app(X10,sK4)
| ~ ssList(X10)
| X10 = X11
| ~ ssList(X11) )
| ~ spl55_1 ),
inference(resolution,[],[f537,f592]) ).
fof(f2022,plain,
( ~ spl55_1
| spl55_142
| ~ spl55_1
| ~ spl55_124 ),
inference(avatar_split_clause,[],[f1999,f1708,f590,f2020,f590]) ).
fof(f1999,plain,
( ! [X1] :
( sK4 = X1
| ~ ssList(sK4)
| cons(sK6,sK4) != app(X1,sK4)
| ~ ssList(X1) )
| ~ spl55_1
| ~ spl55_124 ),
inference(superposition,[],[f1012,f1710]) ).
fof(f2018,plain,
( ~ spl55_1
| ~ spl55_141
| spl55_5
| ~ spl55_124 ),
inference(avatar_split_clause,[],[f2008,f1708,f610,f2015,f590]) ).
fof(f2008,plain,
( nil = sK4
| nil != cons(sK6,sK4)
| ~ ssList(sK4)
| ~ spl55_124 ),
inference(duplicate_literal_removal,[],[f2003]) ).
fof(f2003,plain,
( nil != cons(sK6,sK4)
| ~ ssList(sK4)
| nil = sK4
| ~ ssList(sK4)
| ~ spl55_124 ),
inference(superposition,[],[f343,f1710]) ).
fof(f343,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X1 ),
inference(cnf_transformation,[],[f224]) ).
fof(f2013,plain,
( ~ spl55_1
| spl55_140
| ~ spl55_124 ),
inference(avatar_split_clause,[],[f2009,f1708,f2011,f590]) ).
fof(f2011,plain,
( spl55_140
<=> ! [X3] :
( ~ memberP(cons(sK6,sK4),X3)
| memberP(sK4,X3)
| ~ ssItem(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_140])]) ).
fof(f2009,plain,
( ! [X3] :
( ~ memberP(cons(sK6,sK4),X3)
| ~ ssList(sK4)
| ~ ssItem(X3)
| memberP(sK4,X3) )
| ~ spl55_124 ),
inference(duplicate_literal_removal,[],[f2002]) ).
fof(f2002,plain,
( ! [X3] :
( ~ memberP(cons(sK6,sK4),X3)
| ~ ssList(sK4)
| memberP(sK4,X3)
| ~ ssItem(X3)
| ~ ssList(sK4)
| memberP(sK4,X3) )
| ~ spl55_124 ),
inference(superposition,[],[f379,f1710]) ).
fof(f379,plain,
! [X2,X0,X1] :
( ~ memberP(app(X1,X2),X0)
| memberP(X2,X0)
| ~ ssItem(X0)
| memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f241]) ).
fof(f1996,plain,
( ~ spl55_11
| spl55_139
| ~ spl55_24 ),
inference(avatar_split_clause,[],[f1992,f711,f1994,f638]) ).
fof(f1994,plain,
( spl55_139
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(app(X0,cons(X1,nil)),nil) != sK4
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_139])]) ).
fof(f711,plain,
( spl55_24
<=> ! [X2,X3] :
( ~ ssList(X3)
| ~ ssItem(X2)
| sK4 != app(app(X3,cons(X2,nil)),nil)
| ~ ssItem(sK9(X2,X3,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_24])]) ).
fof(f1992,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(nil)
| app(app(X0,cons(X1,nil)),nil) != sK4 )
| ~ spl55_24 ),
inference(duplicate_literal_removal,[],[f1991]) ).
fof(f1991,plain,
( ! [X0,X1] :
( ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(X1)
| app(app(X0,cons(X1,nil)),nil) != sK4
| app(app(X0,cons(X1,nil)),nil) != sK4
| ~ ssItem(X1)
| ~ ssList(X0) )
| ~ spl55_24 ),
inference(resolution,[],[f712,f553]) ).
fof(f712,plain,
( ! [X2,X3] :
( ~ ssItem(sK9(X2,X3,nil))
| sK4 != app(app(X3,cons(X2,nil)),nil)
| ~ ssItem(X2)
| ~ ssList(X3) )
| ~ spl55_24 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f1990,plain,
( ~ spl55_11
| spl55_138
| ~ spl55_23 ),
inference(avatar_split_clause,[],[f1986,f707,f1988,f638]) ).
fof(f707,plain,
( spl55_23
<=> ! [X0,X1] :
( ~ ssItem(sK9(X0,nil,X1))
| ~ ssList(X1)
| sK4 != app(app(nil,cons(X0,nil)),X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_23])]) ).
fof(f1986,plain,
( ! [X0,X1] :
( cons(X0,X1) != sK4
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssItem(X0) )
| ~ spl55_23 ),
inference(forward_subsumption_demodulation,[],[f1985,f340]) ).
fof(f1985,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| app(cons(X0,nil),X1) != sK4
| ~ ssItem(X0)
| ~ ssList(nil) )
| ~ spl55_23 ),
inference(forward_subsumption_demodulation,[],[f1984,f770]) ).
fof(f770,plain,
! [X2,X3] :
( ~ ssItem(X2)
| cons(X2,X3) = app(nil,cons(X2,X3))
| ~ ssList(X3) ),
inference(resolution,[],[f419,f492]) ).
fof(f1984,plain,
( ! [X0,X1] :
( sK4 != app(app(nil,cons(X0,nil)),X1)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssItem(X0) )
| ~ spl55_23 ),
inference(duplicate_literal_removal,[],[f1983]) ).
fof(f1983,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| sK4 != app(app(nil,cons(X0,nil)),X1)
| sK4 != app(app(nil,cons(X0,nil)),X1)
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssItem(X0) )
| ~ spl55_23 ),
inference(resolution,[],[f708,f553]) ).
fof(f708,plain,
( ! [X0,X1] :
( ~ ssItem(sK9(X0,nil,X1))
| sK4 != app(app(nil,cons(X0,nil)),X1)
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl55_23 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f1955,plain,
( spl55_137
| ~ spl55_11
| ~ spl55_1
| ~ spl55_29 ),
inference(avatar_split_clause,[],[f1947,f740,f590,f638,f1952]) ).
fof(f1952,plain,
( spl55_137
<=> ! [X0] :
( sK4 != app(X0,sK4)
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_137])]) ).
fof(f740,plain,
( spl55_29
<=> app(nil,sK4) = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_29])]) ).
fof(f1947,plain,
( ! [X0] :
( ~ ssList(nil)
| nil = X0
| sK4 != app(X0,sK4)
| ~ ssList(X0) )
| ~ spl55_1
| ~ spl55_29 ),
inference(superposition,[],[f1012,f742]) ).
fof(f742,plain,
( app(nil,sK4) = sK4
| ~ spl55_29 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f1954,plain,
( ~ spl55_11
| spl55_137
| ~ spl55_1
| ~ spl55_29 ),
inference(avatar_split_clause,[],[f1948,f740,f590,f1952,f638]) ).
fof(f1948,plain,
( ! [X0] :
( sK4 != app(X0,sK4)
| ~ ssList(nil)
| ~ ssList(X0)
| nil = X0 )
| ~ spl55_1
| ~ spl55_29 ),
inference(superposition,[],[f1012,f742]) ).
fof(f1935,plain,
( spl55_136
| ~ spl55_1
| ~ spl55_18
| ~ spl55_103 ),
inference(avatar_split_clause,[],[f1925,f1510,f677,f590,f1933]) ).
fof(f1925,plain,
( ! [X0] :
( ~ ssItem(sK6)
| ~ ssList(sK4)
| ~ ssList(X0)
| memberP(app(X0,sK4),sK6) )
| ~ spl55_103 ),
inference(resolution,[],[f1512,f381]) ).
fof(f1931,plain,
( ~ spl55_1
| spl55_135
| ~ spl55_18
| ~ spl55_103 ),
inference(avatar_split_clause,[],[f1924,f1510,f677,f1928,f590]) ).
fof(f1928,plain,
( spl55_135
<=> sK4 = app(sK20(sK4,sK6),cons(sK6,sK21(sK4,sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_135])]) ).
fof(f1924,plain,
( ~ ssItem(sK6)
| sK4 = app(sK20(sK4,sK6),cons(sK6,sK21(sK4,sK6)))
| ~ ssList(sK4)
| ~ spl55_103 ),
inference(resolution,[],[f1512,f427]) ).
fof(f1923,plain,
( ~ spl55_11
| ~ spl55_18
| spl55_102
| ~ spl55_121 ),
inference(avatar_split_clause,[],[f1906,f1636,f1505,f677,f638]) ).
fof(f1505,plain,
( spl55_102
<=> ! [X2,X3] :
( ~ ssItem(X2)
| sK6 = X2
| cons(X2,X3) != sK4
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_102])]) ).
fof(f1906,plain,
( ! [X4,X5] :
( sK4 != cons(X4,X5)
| ~ ssItem(X4)
| ~ ssList(X5)
| ~ ssItem(sK6)
| sK6 = X4
| ~ ssList(nil) )
| ~ spl55_121 ),
inference(superposition,[],[f448,f1638]) ).
fof(f448,plain,
! [X2,X3,X0,X1] :
( cons(X2,X0) != cons(X3,X1)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| X2 = X3
| ~ ssItem(X3) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ! [X3] :
( ~ ssItem(X3)
| ( X0 = X1
& X2 = X3 )
| cons(X2,X0) != cons(X3,X1) )
| ~ ssItem(X2) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f165]) ).
fof(f165,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X0 = X1
& X2 = X3 )
| 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)
=> ( X0 = X1
& X2 = X3 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
fof(f1922,plain,
( ~ spl55_11
| spl55_134
| ~ spl55_18
| ~ spl55_121 ),
inference(avatar_split_clause,[],[f1904,f1636,f677,f1920,f638]) ).
fof(f1904,plain,
( ! [X1] :
( ~ ssItem(sK6)
| ~ memberP(sK4,X1)
| memberP(nil,X1)
| sK6 = X1
| ~ ssList(nil)
| ~ ssItem(X1) )
| ~ spl55_121 ),
inference(superposition,[],[f424,f1638]) ).
fof(f1918,plain,
( ~ spl55_11
| ~ spl55_18
| spl55_133
| ~ spl55_121 ),
inference(avatar_split_clause,[],[f1907,f1636,f1915,f677,f638]) ).
fof(f1915,plain,
( spl55_133
<=> ! [X9,X8] :
( ~ ssItem(X8)
| cons(X8,X9) != sK4
| nil = X9
| ~ ssList(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_133])]) ).
fof(f1907,plain,
( ! [X6,X7] :
( nil = X7
| ~ ssList(X7)
| ~ ssItem(sK6)
| ~ ssItem(X6)
| sK4 != cons(X6,X7)
| ~ ssList(nil) )
| ~ spl55_121 ),
inference(superposition,[],[f449,f1638]) ).
fof(f449,plain,
! [X2,X3,X0,X1] :
( cons(X2,X0) != cons(X3,X1)
| ~ ssItem(X3)
| X0 = X1
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f1917,plain,
( ~ spl55_18
| ~ spl55_11
| spl55_133
| ~ spl55_121 ),
inference(avatar_split_clause,[],[f1908,f1636,f1915,f638,f677]) ).
fof(f1908,plain,
( ! [X8,X9] :
( ~ ssItem(X8)
| ~ ssList(nil)
| nil = X9
| ~ ssList(X9)
| cons(X8,X9) != sK4
| ~ ssItem(sK6) )
| ~ spl55_121 ),
inference(superposition,[],[f449,f1638]) ).
fof(f1913,plain,
( ~ spl55_18
| spl55_103
| ~ spl55_11
| ~ spl55_121 ),
inference(avatar_split_clause,[],[f1910,f1636,f638,f1510,f677]) ).
fof(f1910,plain,
( ~ ssList(nil)
| memberP(sK4,sK6)
| ~ ssItem(sK6)
| ~ spl55_121 ),
inference(superposition,[],[f583,f1638]) ).
fof(f583,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f562]) ).
fof(f562,plain,
! [X2,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f422]) ).
fof(f422,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| memberP(cons(X1,X2),X0)
| X0 != X1
| ~ ssList(X2) ),
inference(cnf_transformation,[],[f263]) ).
fof(f1912,plain,
( ~ spl55_18
| ~ spl55_11
| spl55_102
| ~ spl55_121 ),
inference(avatar_split_clause,[],[f1905,f1636,f1505,f638,f677]) ).
fof(f1905,plain,
( ! [X2,X3] :
( ~ ssItem(X2)
| ~ ssList(nil)
| sK6 = X2
| ~ ssItem(sK6)
| ~ ssList(X3)
| cons(X2,X3) != sK4 )
| ~ spl55_121 ),
inference(superposition,[],[f448,f1638]) ).
fof(f1911,plain,
( spl55_105
| ~ spl55_18
| ~ spl55_11
| ~ spl55_121 ),
inference(avatar_split_clause,[],[f1909,f1636,f638,f677,f1520]) ).
fof(f1520,plain,
( spl55_105
<=> ! [X10] :
( ~ ssList(X10)
| memberP(app(X10,sK4),sK6)
| ~ ssList(app(X10,sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_105])]) ).
fof(f1909,plain,
( ! [X10] :
( ~ ssList(nil)
| ~ ssItem(sK6)
| ~ ssList(app(X10,sK4))
| ~ ssList(X10)
| memberP(app(X10,sK4),sK6) )
| ~ spl55_121 ),
inference(superposition,[],[f563,f1638]) ).
fof(f563,plain,
! [X1,X4,X5] :
( ~ ssList(app(X4,cons(X1,X5)))
| memberP(app(X4,cons(X1,X5)),X1)
| ~ ssList(X4)
| ~ ssList(X5)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f425]) ).
fof(f425,plain,
! [X0,X1,X4,X5] :
( ~ ssList(X0)
| memberP(X0,X1)
| ~ ssList(X5)
| app(X4,cons(X1,X5)) != X0
| ~ ssList(X4)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f268]) ).
fof(f1889,plain,
( ~ spl55_122
| ~ spl55_36
| spl55_119 ),
inference(avatar_split_clause,[],[f1888,f1618,f826,f1673]) ).
fof(f1673,plain,
( spl55_122
<=> memberP(nil,sK34(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_122])]) ).
fof(f1618,plain,
( spl55_119
<=> memberP(sK8,sK34(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_119])]) ).
fof(f1888,plain,
( ~ memberP(nil,sK34(sK4))
| ~ spl55_36
| spl55_119 ),
inference(forward_demodulation,[],[f1619,f828]) ).
fof(f1619,plain,
( ~ memberP(sK8,sK34(sK4))
| spl55_119 ),
inference(avatar_component_clause,[],[f1618]) ).
fof(f1887,plain,
( ~ spl55_11
| spl55_131
| ~ spl55_45
| ~ spl55_122 ),
inference(avatar_split_clause,[],[f1886,f1673,f899,f1877,f638]) ).
fof(f1877,plain,
( spl55_131
<=> ! [X0] :
( ~ ssList(X0)
| memberP(X0,sK34(sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_131])]) ).
fof(f1886,plain,
( ! [X1] :
( ~ ssItem(sK34(sK4))
| memberP(X1,sK34(sK4))
| ~ ssList(nil)
| ~ ssList(X1) )
| ~ spl55_122 ),
inference(forward_subsumption_demodulation,[],[f1874,f492]) ).
fof(f1874,plain,
( ! [X1] :
( ~ ssList(nil)
| memberP(app(nil,X1),sK34(sK4))
| ~ ssList(X1)
| ~ ssItem(sK34(sK4)) )
| ~ spl55_122 ),
inference(resolution,[],[f1675,f380]) ).
fof(f1675,plain,
( memberP(nil,sK34(sK4))
| ~ spl55_122 ),
inference(avatar_component_clause,[],[f1673]) ).
fof(f1885,plain,
( spl55_132
| ~ spl55_45
| ~ spl55_11
| ~ spl55_122 ),
inference(avatar_split_clause,[],[f1872,f1673,f638,f899,f1882]) ).
fof(f1882,plain,
( spl55_132
<=> nil = app(sK20(nil,sK34(sK4)),cons(sK34(sK4),sK21(nil,sK34(sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_132])]) ).
fof(f1872,plain,
( ~ ssList(nil)
| ~ ssItem(sK34(sK4))
| nil = app(sK20(nil,sK34(sK4)),cons(sK34(sK4),sK21(nil,sK34(sK4))))
| ~ spl55_122 ),
inference(resolution,[],[f1675,f427]) ).
fof(f1880,plain,
( ~ spl55_45
| ~ spl55_122 ),
inference(avatar_split_clause,[],[f1871,f1673,f899]) ).
fof(f1871,plain,
( ~ ssItem(sK34(sK4))
| ~ spl55_122 ),
inference(resolution,[],[f1675,f479]) ).
fof(f479,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).
fof(f1879,plain,
( ~ spl55_11
| ~ spl55_45
| spl55_131
| ~ spl55_122 ),
inference(avatar_split_clause,[],[f1875,f1673,f1877,f899,f638]) ).
fof(f1875,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssItem(sK34(sK4))
| ~ ssList(nil)
| memberP(X0,sK34(sK4)) )
| ~ spl55_122 ),
inference(forward_subsumption_demodulation,[],[f1873,f525]) ).
fof(f1873,plain,
( ! [X0] :
( ~ ssItem(sK34(sK4))
| ~ ssList(X0)
| memberP(app(X0,nil),sK34(sK4))
| ~ ssList(nil) )
| ~ spl55_122 ),
inference(resolution,[],[f1675,f381]) ).
fof(f1836,plain,
( spl55_36
| spl55_35
| ~ spl55_6 ),
inference(avatar_split_clause,[],[f1726,f614,f822,f826]) ).
fof(f822,plain,
( spl55_35
<=> sK8 = cons(sK34(sK8),sK33(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_35])]) ).
fof(f1726,plain,
( sK8 = cons(sK34(sK8),sK33(sK8))
| nil = sK8
| ~ spl55_6 ),
inference(resolution,[],[f616,f497]) ).
fof(f1829,plain,
( spl55_130
| ~ spl55_93
| ~ spl55_121 ),
inference(avatar_split_clause,[],[f1809,f1636,f1375,f1826]) ).
fof(f1809,plain,
( sK4 = app(sK4,sK8)
| ~ spl55_93
| ~ spl55_121 ),
inference(backward_demodulation,[],[f1377,f1638]) ).
fof(f1794,plain,
( ~ spl55_72
| ~ spl55_37
| spl55_69 ),
inference(avatar_split_clause,[],[f1793,f1113,f831,f1147]) ).
fof(f1793,plain,
( sK33(nil) != cons(sK34(sK33(nil)),sK33(sK33(nil)))
| ~ spl55_37
| spl55_69 ),
inference(forward_demodulation,[],[f1114,f833]) ).
fof(f1114,plain,
( cons(sK34(sK33(sK7)),sK33(sK33(sK7))) != sK33(sK7)
| spl55_69 ),
inference(avatar_component_clause,[],[f1113]) ).
fof(f1792,plain,
( spl55_35
| spl55_36
| ~ spl55_6 ),
inference(avatar_split_clause,[],[f1328,f614,f826,f822]) ).
fof(f1328,plain,
( nil = sK8
| sK8 = cons(sK34(sK8),sK33(sK8))
| ~ spl55_6 ),
inference(resolution,[],[f616,f497]) ).
fof(f1790,plain,
( spl55_121
| ~ spl55_91
| ~ spl55_92 ),
inference(avatar_split_clause,[],[f1789,f1370,f1360,f1636]) ).
fof(f1787,plain,
( spl55_92
| ~ spl55_37
| ~ spl55_41
| ~ spl55_90 ),
inference(avatar_split_clause,[],[f1640,f1355,f855,f831,f1370]) ).
fof(f1786,plain,
( spl55_92
| ~ spl55_37
| ~ spl55_41
| ~ spl55_90 ),
inference(avatar_split_clause,[],[f1785,f1355,f855,f831,f1370]) ).
fof(f1785,plain,
( sK4 = app(cons(sK6,nil),nil)
| ~ spl55_37
| ~ spl55_41
| ~ spl55_90 ),
inference(forward_demodulation,[],[f1125,f1357]) ).
fof(f1784,plain,
( spl55_92
| ~ spl55_37
| ~ spl55_41
| ~ spl55_90 ),
inference(avatar_split_clause,[],[f1632,f1355,f855,f831,f1370]) ).
fof(f1632,plain,
( sK4 = app(cons(sK6,nil),nil)
| ~ spl55_37
| ~ spl55_41
| ~ spl55_90 ),
inference(forward_demodulation,[],[f1026,f1357]) ).
fof(f1026,plain,
( sK4 = app(app(nil,cons(sK6,nil)),nil)
| ~ spl55_37
| ~ spl55_41 ),
inference(backward_demodulation,[],[f857,f833]) ).
fof(f1783,plain,
( spl55_124
| ~ spl55_106
| ~ spl55_121 ),
inference(avatar_split_clause,[],[f1697,f1636,f1525,f1708]) ).
fof(f1782,plain,
( spl55_92
| ~ spl55_37
| ~ spl55_41
| ~ spl55_90 ),
inference(avatar_split_clause,[],[f1781,f1355,f855,f831,f1370]) ).
fof(f1779,plain,
( spl55_129
| ~ spl55_109 ),
inference(avatar_split_clause,[],[f1757,f1571,f1776]) ).
fof(f1776,plain,
( spl55_129
<=> sK33(sK8) = app(nil,sK33(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_129])]) ).
fof(f1757,plain,
( sK33(sK8) = app(nil,sK33(sK8))
| ~ spl55_109 ),
inference(resolution,[],[f1572,f492]) ).
fof(f1774,plain,
( spl55_127
| spl55_128
| ~ spl55_109 ),
inference(avatar_split_clause,[],[f1758,f1571,f1771,f1767]) ).
fof(f1767,plain,
( spl55_127
<=> nil = sK33(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_127])]) ).
fof(f1758,plain,
( sK33(sK8) = cons(sK34(sK33(sK8)),sK33(sK33(sK8)))
| nil = sK33(sK8)
| ~ spl55_109 ),
inference(resolution,[],[f1572,f497]) ).
fof(f1765,plain,
( spl55_126
| ~ spl55_109 ),
inference(avatar_split_clause,[],[f1759,f1571,f1762]) ).
fof(f1762,plain,
( spl55_126
<=> app(sK33(sK8),nil) = sK33(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_126])]) ).
fof(f1759,plain,
( app(sK33(sK8),nil) = sK33(sK8)
| ~ spl55_109 ),
inference(resolution,[],[f1572,f525]) ).
fof(f1721,plain,
( ~ spl55_59
| ~ spl55_37
| spl55_41 ),
inference(avatar_split_clause,[],[f1720,f855,f831,f1034]) ).
fof(f1719,plain,
( ~ spl55_59
| ~ spl55_37
| spl55_41 ),
inference(avatar_split_clause,[],[f1324,f855,f831,f1034]) ).
fof(f1718,plain,
( spl55_124
| ~ spl55_106
| ~ spl55_121 ),
inference(avatar_split_clause,[],[f1697,f1636,f1525,f1708]) ).
fof(f1717,plain,
( ~ spl55_125
| spl55_98
| ~ spl55_121 ),
inference(avatar_split_clause,[],[f1689,f1636,f1448,f1714]) ).
fof(f1714,plain,
( spl55_125
<=> sK4 = app(sK4,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_125])]) ).
fof(f1448,plain,
( spl55_98
<=> sK4 = app(cons(sK6,nil),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_98])]) ).
fof(f1689,plain,
( sK4 != app(sK4,sK4)
| spl55_98
| ~ spl55_121 ),
inference(backward_demodulation,[],[f1449,f1638]) ).
fof(f1449,plain,
( sK4 != app(cons(sK6,nil),sK4)
| spl55_98 ),
inference(avatar_component_clause,[],[f1448]) ).
fof(f1711,plain,
( spl55_124
| ~ spl55_101
| ~ spl55_121 ),
inference(avatar_split_clause,[],[f1696,f1636,f1488,f1708]) ).
fof(f1706,plain,
( spl55_123
| ~ spl55_99
| ~ spl55_121 ),
inference(avatar_split_clause,[],[f1695,f1636,f1477,f1703]) ).
fof(f1703,plain,
( spl55_123
<=> cons(sK6,sK33(sK4)) = app(sK4,sK33(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_123])]) ).
fof(f1477,plain,
( spl55_99
<=> cons(sK6,sK33(sK4)) = app(cons(sK6,nil),sK33(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_99])]) ).
fof(f1695,plain,
( cons(sK6,sK33(sK4)) = app(sK4,sK33(sK4))
| ~ spl55_99
| ~ spl55_121 ),
inference(backward_demodulation,[],[f1479,f1638]) ).
fof(f1479,plain,
( cons(sK6,sK33(sK4)) = app(cons(sK6,nil),sK33(sK4))
| ~ spl55_99 ),
inference(avatar_component_clause,[],[f1477]) ).
fof(f1676,plain,
( spl55_122
| ~ spl55_36
| ~ spl55_119 ),
inference(avatar_split_clause,[],[f1664,f1618,f826,f1673]) ).
fof(f1664,plain,
( memberP(nil,sK34(sK4))
| ~ spl55_36
| ~ spl55_119 ),
inference(backward_demodulation,[],[f1620,f828]) ).
fof(f1620,plain,
( memberP(sK8,sK34(sK4))
| ~ spl55_119 ),
inference(avatar_component_clause,[],[f1618]) ).
fof(f1666,plain,
( spl55_121
| ~ spl55_36
| ~ spl55_107 ),
inference(avatar_split_clause,[],[f1657,f1538,f826,f1636]) ).
fof(f1657,plain,
( sK4 = cons(sK6,nil)
| ~ spl55_36
| ~ spl55_107 ),
inference(backward_demodulation,[],[f1540,f828]) ).
fof(f1644,plain,
( spl55_36
| spl55_35
| ~ spl55_6 ),
inference(avatar_split_clause,[],[f1532,f614,f822,f826]) ).
fof(f1532,plain,
( sK8 = cons(sK34(sK8),sK33(sK8))
| nil = sK8
| ~ spl55_6 ),
inference(resolution,[],[f616,f497]) ).
fof(f1639,plain,
( spl55_121
| ~ spl55_91
| ~ spl55_92 ),
inference(avatar_split_clause,[],[f1634,f1370,f1360,f1636]) ).
fof(f1634,plain,
( sK4 = cons(sK6,nil)
| ~ spl55_91
| ~ spl55_92 ),
inference(backward_demodulation,[],[f1362,f1371]) ).
fof(f1633,plain,
( spl55_92
| ~ spl55_37
| ~ spl55_41
| ~ spl55_90 ),
inference(avatar_split_clause,[],[f1632,f1355,f855,f831,f1370]) ).
fof(f1631,plain,
( ~ spl55_6
| spl55_36
| spl55_109 ),
inference(avatar_split_clause,[],[f1630,f1571,f826,f614]) ).
fof(f1630,plain,
( nil = sK8
| ~ ssList(sK8)
| spl55_109 ),
inference(resolution,[],[f1573,f499]) ).
fof(f1573,plain,
( ~ ssList(sK33(sK8))
| spl55_109 ),
inference(avatar_component_clause,[],[f1571]) ).
fof(f1627,plain,
( spl55_36
| ~ spl55_6
| spl55_108 ),
inference(avatar_split_clause,[],[f1626,f1567,f614,f826]) ).
fof(f1626,plain,
( ~ ssList(sK8)
| nil = sK8
| spl55_108 ),
inference(resolution,[],[f1569,f498]) ).
fof(f498,plain,
! [X0] :
( ssItem(sK34(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f305]) ).
fof(f1569,plain,
( ~ ssItem(sK34(sK8))
| spl55_108 ),
inference(avatar_component_clause,[],[f1567]) ).
fof(f1625,plain,
( spl55_119
| ~ spl55_45
| spl55_120
| ~ spl55_43
| ~ spl55_87
| ~ spl55_90 ),
inference(avatar_split_clause,[],[f1608,f1355,f1336,f891,f1622,f899,f1618]) ).
fof(f1622,plain,
( spl55_120
<=> memberP(cons(sK6,nil),sK34(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_120])]) ).
fof(f891,plain,
( spl55_43
<=> memberP(sK4,sK34(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_43])]) ).
fof(f1608,plain,
( memberP(cons(sK6,nil),sK34(sK4))
| ~ ssItem(sK34(sK4))
| memberP(sK8,sK34(sK4))
| ~ spl55_43
| ~ spl55_87
| ~ spl55_90 ),
inference(resolution,[],[f1365,f893]) ).
fof(f893,plain,
( memberP(sK4,sK34(sK4))
| ~ spl55_43 ),
inference(avatar_component_clause,[],[f891]) ).
fof(f1616,plain,
( ~ spl55_1
| spl55_118
| ~ spl55_87
| ~ spl55_90 ),
inference(avatar_split_clause,[],[f1607,f1355,f1336,f1614,f590]) ).
fof(f1614,plain,
( spl55_118
<=> ! [X2,X3] :
( memberP(sK8,sK9(X2,X3,sK4))
| ~ ssItem(X2)
| sK4 != app(app(X3,cons(X2,nil)),sK4)
| memberP(cons(sK6,nil),sK9(X2,X3,sK4))
| ~ ssItem(sK9(X2,X3,sK4))
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_118])]) ).
fof(f1607,plain,
( ! [X2,X3] :
( memberP(sK8,sK9(X2,X3,sK4))
| ~ ssList(X3)
| ~ ssList(sK4)
| ~ ssItem(sK9(X2,X3,sK4))
| memberP(cons(sK6,nil),sK9(X2,X3,sK4))
| sK4 != app(app(X3,cons(X2,nil)),sK4)
| ~ ssItem(X2) )
| ~ spl55_87
| ~ spl55_90 ),
inference(resolution,[],[f1365,f552]) ).
fof(f1612,plain,
( ~ spl55_1
| spl55_117
| ~ spl55_87
| ~ spl55_90 ),
inference(avatar_split_clause,[],[f1606,f1355,f1336,f1610,f590]) ).
fof(f1610,plain,
( spl55_117
<=> ! [X0,X1] :
( sK4 != app(app(sK4,cons(X0,nil)),X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| memberP(sK8,sK9(X0,sK4,X1))
| memberP(cons(sK6,nil),sK9(X0,sK4,X1))
| ~ ssItem(sK9(X0,sK4,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_117])]) ).
fof(f1606,plain,
( ! [X0,X1] :
( sK4 != app(app(sK4,cons(X0,nil)),X1)
| ~ ssItem(sK9(X0,sK4,X1))
| memberP(cons(sK6,nil),sK9(X0,sK4,X1))
| memberP(sK8,sK9(X0,sK4,X1))
| ~ ssItem(X0)
| ~ ssList(sK4)
| ~ ssList(X1) )
| ~ spl55_87
| ~ spl55_90 ),
inference(resolution,[],[f1365,f549]) ).
fof(f1605,plain,
( ~ spl55_116
| ~ spl55_109
| ~ spl55_108
| ~ spl55_35 ),
inference(avatar_split_clause,[],[f1557,f822,f1567,f1571,f1602]) ).
fof(f1557,plain,
( ~ ssItem(sK34(sK8))
| ~ ssList(sK33(sK8))
| sK33(sK8) != sK8
| ~ spl55_35 ),
inference(superposition,[],[f420,f824]) ).
fof(f824,plain,
( sK8 = cons(sK34(sK8),sK33(sK8))
| ~ spl55_35 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f420,plain,
! [X0,X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,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/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f1600,plain,
( ~ spl55_109
| ~ spl55_108
| spl55_115
| ~ spl55_35 ),
inference(avatar_split_clause,[],[f1559,f822,f1598,f1567,f1571]) ).
fof(f1598,plain,
( spl55_115
<=> ! [X1] :
( ~ ssItem(X1)
| memberP(sK33(sK8),X1)
| sK34(sK8) = X1
| ~ memberP(sK8,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_115])]) ).
fof(f1559,plain,
( ! [X1] :
( ~ ssItem(X1)
| ~ memberP(sK8,X1)
| sK34(sK8) = X1
| memberP(sK33(sK8),X1)
| ~ ssItem(sK34(sK8))
| ~ ssList(sK33(sK8)) )
| ~ spl55_35 ),
inference(superposition,[],[f424,f824]) ).
fof(f1596,plain,
( ~ spl55_109
| ~ spl55_108
| spl55_114
| ~ spl55_35 ),
inference(avatar_split_clause,[],[f1558,f822,f1594,f1567,f1571]) ).
fof(f1594,plain,
( spl55_114
<=> ! [X0] :
( memberP(sK8,X0)
| ~ ssItem(X0)
| ~ memberP(sK33(sK8),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_114])]) ).
fof(f1558,plain,
( ! [X0] :
( memberP(sK8,X0)
| ~ memberP(sK33(sK8),X0)
| ~ ssItem(sK34(sK8))
| ~ ssItem(X0)
| ~ ssList(sK33(sK8)) )
| ~ spl55_35 ),
inference(superposition,[],[f423,f824]) ).
fof(f423,plain,
! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f1592,plain,
( ~ spl55_108
| ~ spl55_109
| spl55_113
| ~ spl55_35 ),
inference(avatar_split_clause,[],[f1565,f822,f1589,f1571,f1567]) ).
fof(f1565,plain,
( memberP(sK8,sK34(sK8))
| ~ ssList(sK33(sK8))
| ~ ssItem(sK34(sK8))
| ~ spl55_35 ),
inference(superposition,[],[f583,f824]) ).
fof(f1587,plain,
( ~ spl55_109
| ~ spl55_108
| spl55_112
| ~ spl55_35 ),
inference(avatar_split_clause,[],[f1562,f822,f1583,f1567,f1571]) ).
fof(f1583,plain,
( spl55_112
<=> ! [X9,X8] :
( sK33(sK8) = X9
| ~ ssList(X9)
| ~ ssItem(X8)
| cons(X8,X9) != sK8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_112])]) ).
fof(f1562,plain,
( ! [X6,X7] :
( ~ ssItem(X6)
| ~ ssItem(sK34(sK8))
| sK8 != cons(X6,X7)
| sK33(sK8) = X7
| ~ ssList(sK33(sK8))
| ~ ssList(X7) )
| ~ spl55_35 ),
inference(superposition,[],[f449,f824]) ).
fof(f1586,plain,
( ~ spl55_109
| ~ spl55_108
| spl55_111
| ~ spl55_35 ),
inference(avatar_split_clause,[],[f1561,f822,f1579,f1567,f1571]) ).
fof(f1579,plain,
( spl55_111
<=> ! [X2,X3] :
( ~ ssItem(X2)
| cons(X2,X3) != sK8
| ~ ssList(X3)
| sK34(sK8) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_111])]) ).
fof(f1561,plain,
( ! [X4,X5] :
( sK34(sK8) = X4
| ~ ssItem(X4)
| ~ ssItem(sK34(sK8))
| ~ ssList(sK33(sK8))
| ~ ssList(X5)
| cons(X4,X5) != sK8 )
| ~ spl55_35 ),
inference(superposition,[],[f448,f824]) ).
fof(f1585,plain,
( ~ spl55_108
| spl55_112
| ~ spl55_109
| ~ spl55_35 ),
inference(avatar_split_clause,[],[f1563,f822,f1571,f1583,f1567]) ).
fof(f1563,plain,
( ! [X8,X9] :
( ~ ssList(sK33(sK8))
| sK33(sK8) = X9
| ~ ssItem(X8)
| ~ ssList(X9)
| ~ ssItem(sK34(sK8))
| cons(X8,X9) != sK8 )
| ~ spl55_35 ),
inference(superposition,[],[f449,f824]) ).
fof(f1581,plain,
( ~ spl55_108
| ~ spl55_109
| spl55_111
| ~ spl55_35 ),
inference(avatar_split_clause,[],[f1560,f822,f1579,f1571,f1567]) ).
fof(f1560,plain,
( ! [X2,X3] :
( ~ ssItem(X2)
| sK34(sK8) = X2
| ~ ssList(X3)
| ~ ssList(sK33(sK8))
| ~ ssItem(sK34(sK8))
| cons(X2,X3) != sK8 )
| ~ spl55_35 ),
inference(superposition,[],[f448,f824]) ).
fof(f1577,plain,
( ~ spl55_108
| ~ spl55_109
| spl55_110
| ~ spl55_35 ),
inference(avatar_split_clause,[],[f1564,f822,f1575,f1571,f1567]) ).
fof(f1575,plain,
( spl55_110
<=> ! [X10] :
( memberP(app(X10,sK8),sK34(sK8))
| ~ ssList(X10)
| ~ ssList(app(X10,sK8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_110])]) ).
fof(f1564,plain,
( ! [X10] :
( memberP(app(X10,sK8),sK34(sK8))
| ~ ssList(app(X10,sK8))
| ~ ssList(sK33(sK8))
| ~ ssList(X10)
| ~ ssItem(sK34(sK8)) )
| ~ spl55_35 ),
inference(superposition,[],[f563,f824]) ).
fof(f1541,plain,
( spl55_107
| ~ spl55_6
| ~ spl55_18
| ~ spl55_93 ),
inference(avatar_split_clause,[],[f1536,f1375,f677,f614,f1538]) ).
fof(f1536,plain,
( cons(sK6,sK8) = sK4
| ~ spl55_6
| ~ spl55_18
| ~ spl55_93 ),
inference(forward_demodulation,[],[f1535,f1377]) ).
fof(f1535,plain,
( app(cons(sK6,nil),sK8) = cons(sK6,sK8)
| ~ spl55_6
| ~ spl55_18 ),
inference(resolution,[],[f616,f873]) ).
fof(f1528,plain,
( spl55_106
| ~ spl55_1
| ~ spl55_18 ),
inference(avatar_split_clause,[],[f1471,f677,f590,f1525]) ).
fof(f1471,plain,
( cons(sK6,sK4) = app(cons(sK6,nil),sK4)
| ~ spl55_1
| ~ spl55_18 ),
inference(resolution,[],[f873,f592]) ).
fof(f1523,plain,
( ~ spl55_1
| ~ spl55_18
| spl55_104
| ~ spl55_100 ),
inference(avatar_split_clause,[],[f1500,f1483,f1515,f677,f590]) ).
fof(f1515,plain,
( spl55_104
<=> ! [X6,X7] :
( ~ ssList(X7)
| ~ ssItem(X6)
| sK4 != cons(X6,X7)
| sK4 = X7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_104])]) ).
fof(f1483,plain,
( spl55_100
<=> cons(sK6,sK4) = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_100])]) ).
fof(f1500,plain,
( ! [X8,X9] :
( cons(X8,X9) != sK4
| ~ ssItem(X8)
| ~ ssItem(sK6)
| sK4 = X9
| ~ ssList(sK4)
| ~ ssList(X9) )
| ~ spl55_100 ),
inference(superposition,[],[f449,f1485]) ).
fof(f1485,plain,
( cons(sK6,sK4) = sK4
| ~ spl55_100 ),
inference(avatar_component_clause,[],[f1483]) ).
fof(f1522,plain,
( ~ spl55_1
| ~ spl55_18
| spl55_105
| ~ spl55_100 ),
inference(avatar_split_clause,[],[f1501,f1483,f1520,f677,f590]) ).
fof(f1501,plain,
( ! [X10] :
( ~ ssList(X10)
| ~ ssItem(sK6)
| ~ ssList(app(X10,sK4))
| ~ ssList(sK4)
| memberP(app(X10,sK4),sK6) )
| ~ spl55_100 ),
inference(superposition,[],[f563,f1485]) ).
fof(f1518,plain,
( ~ spl55_18
| ~ spl55_1
| ~ spl55_100 ),
inference(avatar_split_clause,[],[f1503,f1483,f590,f677]) ).
fof(f1503,plain,
( ~ ssList(sK4)
| ~ ssItem(sK6)
| ~ spl55_100 ),
inference(trivial_inequality_removal,[],[f1494]) ).
fof(f1494,plain,
( ~ ssList(sK4)
| sK4 != sK4
| ~ ssItem(sK6)
| ~ spl55_100 ),
inference(superposition,[],[f420,f1485]) ).
fof(f1517,plain,
( ~ spl55_18
| ~ spl55_1
| spl55_104
| ~ spl55_100 ),
inference(avatar_split_clause,[],[f1499,f1483,f1515,f590,f677]) ).
fof(f1499,plain,
( ! [X6,X7] :
( ~ ssList(X7)
| ~ ssList(sK4)
| sK4 = X7
| ~ ssItem(sK6)
| sK4 != cons(X6,X7)
| ~ ssItem(X6) )
| ~ spl55_100 ),
inference(superposition,[],[f449,f1485]) ).
fof(f1513,plain,
( ~ spl55_18
| spl55_103
| ~ spl55_1
| ~ spl55_100 ),
inference(avatar_split_clause,[],[f1502,f1483,f590,f1510,f677]) ).
fof(f1502,plain,
( ~ ssList(sK4)
| memberP(sK4,sK6)
| ~ ssItem(sK6)
| ~ spl55_100 ),
inference(superposition,[],[f583,f1485]) ).
fof(f1508,plain,
( spl55_102
| ~ spl55_18
| ~ spl55_1
| ~ spl55_100 ),
inference(avatar_split_clause,[],[f1498,f1483,f590,f677,f1505]) ).
fof(f1498,plain,
( ! [X4,X5] :
( ~ ssList(sK4)
| ~ ssItem(sK6)
| ~ ssList(X5)
| sK6 = X4
| sK4 != cons(X4,X5)
| ~ ssItem(X4) )
| ~ spl55_100 ),
inference(superposition,[],[f448,f1485]) ).
fof(f1507,plain,
( ~ spl55_18
| ~ spl55_1
| spl55_102
| ~ spl55_100 ),
inference(avatar_split_clause,[],[f1497,f1483,f1505,f590,f677]) ).
fof(f1497,plain,
( ! [X2,X3] :
( ~ ssItem(X2)
| ~ ssList(X3)
| cons(X2,X3) != sK4
| ~ ssList(sK4)
| sK6 = X2
| ~ ssItem(sK6) )
| ~ spl55_100 ),
inference(superposition,[],[f448,f1485]) ).
fof(f1491,plain,
( spl55_101
| ~ spl55_18
| ~ spl55_78 ),
inference(avatar_split_clause,[],[f1468,f1224,f677,f1488]) ).
fof(f1468,plain,
( cons(sK6,cons(sK6,nil)) = app(cons(sK6,nil),cons(sK6,nil))
| ~ spl55_18
| ~ spl55_78 ),
inference(resolution,[],[f873,f1225]) ).
fof(f1486,plain,
( spl55_100
| ~ spl55_1
| ~ spl55_18
| ~ spl55_98 ),
inference(avatar_split_clause,[],[f1481,f1448,f677,f590,f1483]) ).
fof(f1481,plain,
( cons(sK6,sK4) = sK4
| ~ spl55_1
| ~ spl55_18
| ~ spl55_98 ),
inference(forward_demodulation,[],[f1471,f1450]) ).
fof(f1450,plain,
( sK4 = app(cons(sK6,nil),sK4)
| ~ spl55_98 ),
inference(avatar_component_clause,[],[f1448]) ).
fof(f1480,plain,
( spl55_99
| ~ spl55_18
| ~ spl55_44 ),
inference(avatar_split_clause,[],[f1475,f895,f677,f1477]) ).
fof(f1475,plain,
( cons(sK6,sK33(sK4)) = app(cons(sK6,nil),sK33(sK4))
| ~ spl55_18
| ~ spl55_44 ),
inference(resolution,[],[f873,f896]) ).
fof(f1451,plain,
( spl55_98
| ~ spl55_93
| ~ spl55_95 ),
inference(avatar_split_clause,[],[f1446,f1404,f1375,f1448]) ).
fof(f1446,plain,
( sK4 = app(cons(sK6,nil),sK4)
| ~ spl55_93
| ~ spl55_95 ),
inference(forward_demodulation,[],[f1377,f1406]) ).
fof(f1406,plain,
( sK4 = sK8
| ~ spl55_95 ),
inference(avatar_component_clause,[],[f1404]) ).
fof(f1444,plain,
( spl55_97
| ~ spl55_11
| ~ spl55_18
| ~ spl55_89 ),
inference(avatar_split_clause,[],[f1440,f1350,f677,f638,f1442]) ).
fof(f1350,plain,
( spl55_89
<=> nil = cons(sK6,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_89])]) ).
fof(f1440,plain,
( ! [X10] :
( ~ ssItem(sK6)
| ~ ssList(nil)
| ~ ssList(X10)
| memberP(X10,sK6) )
| ~ spl55_89 ),
inference(forward_subsumption_demodulation,[],[f1439,f525]) ).
fof(f1439,plain,
( ! [X10] :
( ~ ssList(nil)
| memberP(app(X10,nil),sK6)
| ~ ssList(X10)
| ~ ssItem(sK6) )
| ~ spl55_89 ),
inference(duplicate_literal_removal,[],[f1438]) ).
fof(f1438,plain,
( ! [X10] :
( ~ ssList(X10)
| ~ ssItem(sK6)
| ~ ssList(nil)
| ~ ssList(X10)
| memberP(app(X10,nil),sK6) )
| ~ spl55_89 ),
inference(forward_subsumption_demodulation,[],[f1427,f525]) ).
fof(f1427,plain,
( ! [X10] :
( ~ ssList(app(X10,nil))
| ~ ssList(nil)
| memberP(app(X10,nil),sK6)
| ~ ssList(X10)
| ~ ssItem(sK6) )
| ~ spl55_89 ),
inference(superposition,[],[f563,f1352]) ).
fof(f1352,plain,
( nil = cons(sK6,nil)
| ~ spl55_89 ),
inference(avatar_component_clause,[],[f1350]) ).
fof(f1437,plain,
( ~ spl55_18
| ~ spl55_11
| ~ spl55_89 ),
inference(avatar_split_clause,[],[f1429,f1350,f638,f677]) ).
fof(f1429,plain,
( ~ ssList(nil)
| ~ ssItem(sK6)
| ~ spl55_89 ),
inference(trivial_inequality_removal,[],[f1418]) ).
fof(f1418,plain,
( ~ ssList(nil)
| ~ ssItem(sK6)
| nil != nil
| ~ spl55_89 ),
inference(superposition,[],[f355,f1352]) ).
fof(f355,plain,
! [X0,X1] :
( nil != cons(X1,X0)
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,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/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f1436,plain,
( ~ spl55_11
| ~ spl55_18
| spl55_96
| ~ spl55_89 ),
inference(avatar_split_clause,[],[f1428,f1350,f1433,f677,f638]) ).
fof(f1433,plain,
( spl55_96
<=> memberP(nil,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_96])]) ).
fof(f1428,plain,
( memberP(nil,sK6)
| ~ ssItem(sK6)
| ~ ssList(nil)
| ~ spl55_89 ),
inference(superposition,[],[f583,f1352]) ).
fof(f1431,plain,
( ~ spl55_18
| ~ spl55_11
| ~ spl55_89 ),
inference(avatar_split_clause,[],[f1430,f1350,f638,f677]) ).
fof(f1430,plain,
( ~ ssList(nil)
| ~ ssItem(sK6)
| ~ spl55_89 ),
inference(trivial_inequality_removal,[],[f1420]) ).
fof(f1420,plain,
( nil != nil
| ~ ssItem(sK6)
| ~ ssList(nil)
| ~ spl55_89 ),
inference(superposition,[],[f420,f1352]) ).
fof(f1407,plain,
( spl55_95
| ~ spl55_26
| ~ spl55_94 ),
inference(avatar_split_clause,[],[f1402,f1396,f725,f1404]) ).
fof(f1396,plain,
( spl55_94
<=> sK4 = app(nil,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_94])]) ).
fof(f1402,plain,
( sK4 = sK8
| ~ spl55_26
| ~ spl55_94 ),
inference(backward_demodulation,[],[f727,f1398]) ).
fof(f1398,plain,
( sK4 = app(nil,sK8)
| ~ spl55_94 ),
inference(avatar_component_clause,[],[f1396]) ).
fof(f1399,plain,
( spl55_94
| ~ spl55_89
| ~ spl55_93 ),
inference(avatar_split_clause,[],[f1394,f1375,f1350,f1396]) ).
fof(f1394,plain,
( sK4 = app(nil,sK8)
| ~ spl55_89
| ~ spl55_93 ),
inference(forward_demodulation,[],[f1377,f1352]) ).
fof(f1378,plain,
( spl55_93
| ~ spl55_86
| ~ spl55_90 ),
inference(avatar_split_clause,[],[f1366,f1355,f1315,f1375]) ).
fof(f1315,plain,
( spl55_86
<=> sK4 = app(app(nil,cons(sK6,nil)),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_86])]) ).
fof(f1366,plain,
( app(cons(sK6,nil),sK8) = sK4
| ~ spl55_86
| ~ spl55_90 ),
inference(backward_demodulation,[],[f1317,f1357]) ).
fof(f1317,plain,
( sK4 = app(app(nil,cons(sK6,nil)),sK8)
| ~ spl55_86 ),
inference(avatar_component_clause,[],[f1315]) ).
fof(f1373,plain,
( ~ spl55_92
| spl55_59
| ~ spl55_90 ),
inference(avatar_split_clause,[],[f1367,f1355,f1034,f1370]) ).
fof(f1367,plain,
( sK4 != app(cons(sK6,nil),nil)
| spl55_59
| ~ spl55_90 ),
inference(backward_demodulation,[],[f1035,f1357]) ).
fof(f1035,plain,
( sK4 != app(app(nil,cons(sK6,nil)),nil)
| spl55_59 ),
inference(avatar_component_clause,[],[f1034]) ).
fof(f1363,plain,
( spl55_91
| ~ spl55_78 ),
inference(avatar_split_clause,[],[f1343,f1224,f1360]) ).
fof(f1343,plain,
( app(cons(sK6,nil),nil) = cons(sK6,nil)
| ~ spl55_78 ),
inference(resolution,[],[f1225,f525]) ).
fof(f1358,plain,
( spl55_90
| ~ spl55_78 ),
inference(avatar_split_clause,[],[f1344,f1224,f1355]) ).
fof(f1344,plain,
( app(nil,cons(sK6,nil)) = cons(sK6,nil)
| ~ spl55_78 ),
inference(resolution,[],[f1225,f492]) ).
fof(f1353,plain,
( spl55_88
| spl55_89
| ~ spl55_78 ),
inference(avatar_split_clause,[],[f1342,f1224,f1350,f1346]) ).
fof(f1346,plain,
( spl55_88
<=> cons(sK34(cons(sK6,nil)),sK33(cons(sK6,nil))) = cons(sK6,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_88])]) ).
fof(f1342,plain,
( nil = cons(sK6,nil)
| cons(sK34(cons(sK6,nil)),sK33(cons(sK6,nil))) = cons(sK6,nil)
| ~ spl55_78 ),
inference(resolution,[],[f1225,f497]) ).
fof(f1338,plain,
( ~ spl55_6
| ~ spl55_74
| spl55_87
| ~ spl55_86 ),
inference(avatar_split_clause,[],[f1331,f1315,f1336,f1157,f614]) ).
fof(f1157,plain,
( spl55_74
<=> ssList(app(nil,cons(sK6,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_74])]) ).
fof(f1331,plain,
( ! [X0] :
( ~ ssItem(X0)
| ~ memberP(sK4,X0)
| memberP(sK8,X0)
| memberP(app(nil,cons(sK6,nil)),X0)
| ~ ssList(app(nil,cons(sK6,nil)))
| ~ ssList(sK8) )
| ~ spl55_86 ),
inference(superposition,[],[f379,f1317]) ).
fof(f1318,plain,
( spl55_86
| ~ spl55_13
| ~ spl55_37 ),
inference(avatar_split_clause,[],[f1283,f831,f649,f1315]) ).
fof(f1283,plain,
( sK4 = app(app(nil,cons(sK6,nil)),sK8)
| ~ spl55_13
| ~ spl55_37 ),
inference(backward_demodulation,[],[f651,f833]) ).
fof(f1313,plain,
( ~ spl55_85
| ~ spl55_37
| spl55_81 ),
inference(avatar_split_clause,[],[f1297,f1269,f831,f1310]) ).
fof(f1310,plain,
( spl55_85
<=> nil = app(sK20(nil,sK34(nil)),cons(sK34(nil),sK21(nil,sK34(nil)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_85])]) ).
fof(f1269,plain,
( spl55_81
<=> app(sK20(sK7,sK34(sK7)),cons(sK34(sK7),sK21(sK7,sK34(sK7)))) = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_81])]) ).
fof(f1297,plain,
( nil != app(sK20(nil,sK34(nil)),cons(sK34(nil),sK21(nil,sK34(nil))))
| ~ spl55_37
| spl55_81 ),
inference(backward_demodulation,[],[f1270,f833]) ).
fof(f1270,plain,
( app(sK20(sK7,sK34(sK7)),cons(sK34(sK7),sK21(sK7,sK34(sK7)))) != sK7
| spl55_81 ),
inference(avatar_component_clause,[],[f1269]) ).
fof(f1305,plain,
( spl55_72
| ~ spl55_37
| ~ spl55_69 ),
inference(avatar_split_clause,[],[f1293,f1113,f831,f1147]) ).
fof(f1302,plain,
( ~ spl55_84
| ~ spl55_37
| spl55_80 ),
inference(avatar_split_clause,[],[f1295,f1242,f831,f1299]) ).
fof(f1299,plain,
( spl55_84
<=> nil = cons(sK34(nil),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_84])]) ).
fof(f1242,plain,
( spl55_80
<=> cons(sK34(sK7),nil) = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_80])]) ).
fof(f1295,plain,
( nil != cons(sK34(nil),nil)
| ~ spl55_37
| spl55_80 ),
inference(backward_demodulation,[],[f1243,f833]) ).
fof(f1243,plain,
( cons(sK34(sK7),nil) != sK7
| spl55_80 ),
inference(avatar_component_clause,[],[f1242]) ).
fof(f1281,plain,
( spl55_38
| spl55_37
| ~ spl55_9 ),
inference(avatar_split_clause,[],[f1250,f629,f831,f835]) ).
fof(f835,plain,
( spl55_38
<=> cons(sK34(sK7),sK33(sK7)) = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_38])]) ).
fof(f629,plain,
( spl55_9
<=> ssList(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_9])]) ).
fof(f1250,plain,
( nil = sK7
| cons(sK34(sK7),sK33(sK7)) = sK7
| ~ spl55_9 ),
inference(resolution,[],[f631,f497]) ).
fof(f631,plain,
( ssList(sK7)
| ~ spl55_9 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f1280,plain,
( ~ spl55_54
| ~ spl55_9
| spl55_83
| ~ spl55_57 ),
inference(avatar_split_clause,[],[f1266,f1001,f1278,f629,f988]) ).
fof(f988,plain,
( spl55_54
<=> ssItem(sK34(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_54])]) ).
fof(f1278,plain,
( spl55_83
<=> ! [X0] :
( ~ ssList(X0)
| memberP(app(X0,sK7),sK34(sK7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_83])]) ).
fof(f1001,plain,
( spl55_57
<=> memberP(sK7,sK34(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_57])]) ).
fof(f1266,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(sK7)
| ~ ssItem(sK34(sK7))
| memberP(app(X0,sK7),sK34(sK7)) )
| ~ spl55_57 ),
inference(resolution,[],[f1003,f381]) ).
fof(f1003,plain,
( memberP(sK7,sK34(sK7))
| ~ spl55_57 ),
inference(avatar_component_clause,[],[f1001]) ).
fof(f1276,plain,
( ~ spl55_54
| spl55_82
| ~ spl55_9
| ~ spl55_57 ),
inference(avatar_split_clause,[],[f1267,f1001,f629,f1274,f988]) ).
fof(f1274,plain,
( spl55_82
<=> ! [X1] :
( memberP(app(sK7,X1),sK34(sK7))
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_82])]) ).
fof(f1267,plain,
( ! [X1] :
( ~ ssList(sK7)
| memberP(app(sK7,X1),sK34(sK7))
| ~ ssItem(sK34(sK7))
| ~ ssList(X1) )
| ~ spl55_57 ),
inference(resolution,[],[f1003,f380]) ).
fof(f1272,plain,
( ~ spl55_9
| ~ spl55_54
| spl55_81
| ~ spl55_57 ),
inference(avatar_split_clause,[],[f1265,f1001,f1269,f988,f629]) ).
fof(f1265,plain,
( app(sK20(sK7,sK34(sK7)),cons(sK34(sK7),sK21(sK7,sK34(sK7)))) = sK7
| ~ ssItem(sK34(sK7))
| ~ ssList(sK7)
| ~ spl55_57 ),
inference(resolution,[],[f1003,f427]) ).
fof(f1245,plain,
( spl55_80
| ~ spl55_38
| ~ spl55_70 ),
inference(avatar_split_clause,[],[f1240,f1117,f835,f1242]) ).
fof(f1117,plain,
( spl55_70
<=> nil = sK33(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_70])]) ).
fof(f1240,plain,
( cons(sK34(sK7),nil) = sK7
| ~ spl55_38
| ~ spl55_70 ),
inference(forward_demodulation,[],[f837,f1119]) ).
fof(f1119,plain,
( nil = sK33(sK7)
| ~ spl55_70 ),
inference(avatar_component_clause,[],[f1117]) ).
fof(f837,plain,
( cons(sK34(sK7),sK33(sK7)) = sK7
| ~ spl55_38 ),
inference(avatar_component_clause,[],[f835]) ).
fof(f1234,plain,
( ~ spl55_11
| ~ spl55_74
| spl55_79
| ~ spl55_59 ),
inference(avatar_split_clause,[],[f1164,f1034,f1232,f1157,f638]) ).
fof(f1232,plain,
( spl55_79
<=> ! [X0] :
( ~ memberP(sK4,X0)
| memberP(app(nil,cons(sK6,nil)),X0)
| ~ ssItem(X0)
| memberP(nil,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_79])]) ).
fof(f1164,plain,
( ! [X0] :
( ~ memberP(sK4,X0)
| memberP(nil,X0)
| ~ ssItem(X0)
| memberP(app(nil,cons(sK6,nil)),X0)
| ~ ssList(app(nil,cons(sK6,nil)))
| ~ ssList(nil) )
| ~ spl55_59 ),
inference(superposition,[],[f379,f1036]) ).
fof(f1230,plain,
( spl55_38
| spl55_37
| ~ spl55_9 ),
inference(avatar_split_clause,[],[f1064,f629,f831,f835]) ).
fof(f1064,plain,
( nil = sK7
| cons(sK34(sK7),sK33(sK7)) = sK7
| ~ spl55_9 ),
inference(resolution,[],[f631,f497]) ).
fof(f1229,plain,
( ~ spl55_18
| ~ spl55_11
| spl55_78 ),
inference(avatar_split_clause,[],[f1228,f1224,f638,f677]) ).
fof(f1228,plain,
( ~ ssList(nil)
| ~ ssItem(sK6)
| spl55_78 ),
inference(resolution,[],[f1226,f419]) ).
fof(f1226,plain,
( ~ ssList(cons(sK6,nil))
| spl55_78 ),
inference(avatar_component_clause,[],[f1224]) ).
fof(f1227,plain,
( ~ spl55_78
| ~ spl55_11
| spl55_74 ),
inference(avatar_split_clause,[],[f1222,f1157,f638,f1224]) ).
fof(f1222,plain,
( ~ ssList(nil)
| ~ ssList(cons(sK6,nil))
| spl55_74 ),
inference(resolution,[],[f1159,f441]) ).
fof(f1159,plain,
( ~ ssList(app(nil,cons(sK6,nil)))
| spl55_74 ),
inference(avatar_component_clause,[],[f1157]) ).
fof(f1218,plain,
( ~ spl55_45
| ~ spl55_44
| spl55_77
| ~ spl55_34 ),
inference(avatar_split_clause,[],[f1211,f817,f1215,f895,f899]) ).
fof(f1215,plain,
( spl55_77
<=> ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,X1) != sK4
| sK33(sK4) = X1
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_77])]) ).
fof(f1211,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(sK33(sK4))
| cons(X0,X1) != sK4
| sK33(sK4) = X1
| ~ ssItem(sK34(sK4)) )
| ~ spl55_34 ),
inference(superposition,[],[f449,f819]) ).
fof(f1217,plain,
( ~ spl55_44
| ~ spl55_45
| spl55_77
| ~ spl55_34 ),
inference(avatar_split_clause,[],[f1210,f817,f1215,f899,f895]) ).
fof(f1210,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| sK33(sK4) = X1
| ~ ssList(X1)
| cons(X0,X1) != sK4
| ~ ssItem(sK34(sK4))
| ~ ssList(sK33(sK4)) )
| ~ spl55_34 ),
inference(superposition,[],[f449,f819]) ).
fof(f1209,plain,
( ~ spl55_45
| ~ spl55_44
| spl55_76
| ~ spl55_34 ),
inference(avatar_split_clause,[],[f1201,f817,f1206,f895,f899]) ).
fof(f1206,plain,
( spl55_76
<=> ! [X0,X1] :
( cons(X0,X1) != sK4
| sK34(sK4) = X0
| ~ ssItem(X0)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_76])]) ).
fof(f1201,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(sK33(sK4))
| cons(X0,X1) != sK4
| ~ ssItem(sK34(sK4))
| sK34(sK4) = X0 )
| ~ spl55_34 ),
inference(superposition,[],[f448,f819]) ).
fof(f1208,plain,
( spl55_76
| ~ spl55_44
| ~ spl55_45
| ~ spl55_34 ),
inference(avatar_split_clause,[],[f1202,f817,f899,f895,f1206]) ).
fof(f1202,plain,
( ! [X0,X1] :
( ~ ssItem(sK34(sK4))
| ~ ssList(sK33(sK4))
| cons(X0,X1) != sK4
| ~ ssList(X1)
| ~ ssItem(X0)
| sK34(sK4) = X0 )
| ~ spl55_34 ),
inference(superposition,[],[f448,f819]) ).
fof(f1200,plain,
( spl55_75
| ~ spl55_45
| ~ spl55_1
| ~ spl55_43 ),
inference(avatar_split_clause,[],[f1191,f891,f590,f899,f1197]) ).
fof(f1197,plain,
( spl55_75
<=> app(sK20(sK4,sK34(sK4)),cons(sK34(sK4),sK21(sK4,sK34(sK4)))) = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_75])]) ).
fof(f1191,plain,
( ~ ssList(sK4)
| ~ ssItem(sK34(sK4))
| app(sK20(sK4,sK34(sK4)),cons(sK34(sK4),sK21(sK4,sK34(sK4)))) = sK4
| ~ spl55_43 ),
inference(resolution,[],[f427,f893]) ).
fof(f1160,plain,
( ~ spl55_74
| ~ spl55_37
| spl55_64 ),
inference(avatar_split_clause,[],[f1132,f1079,f831,f1157]) ).
fof(f1079,plain,
( spl55_64
<=> ssList(app(sK7,cons(sK6,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_64])]) ).
fof(f1132,plain,
( ~ ssList(app(nil,cons(sK6,nil)))
| ~ spl55_37
| spl55_64 ),
inference(backward_demodulation,[],[f1081,f833]) ).
fof(f1081,plain,
( ~ ssList(app(sK7,cons(sK6,nil)))
| spl55_64 ),
inference(avatar_component_clause,[],[f1079]) ).
fof(f1155,plain,
( ~ spl55_73
| ~ spl55_37
| spl55_68 ),
inference(avatar_split_clause,[],[f1134,f1108,f831,f1152]) ).
fof(f1152,plain,
( spl55_73
<=> sK33(nil) = app(sK33(nil),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_73])]) ).
fof(f1108,plain,
( spl55_68
<=> app(sK33(sK7),nil) = sK33(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_68])]) ).
fof(f1134,plain,
( sK33(nil) != app(sK33(nil),nil)
| ~ spl55_37
| spl55_68 ),
inference(backward_demodulation,[],[f1109,f833]) ).
fof(f1109,plain,
( app(sK33(sK7),nil) != sK33(sK7)
| spl55_68 ),
inference(avatar_component_clause,[],[f1108]) ).
fof(f1150,plain,
( ~ spl55_72
| ~ spl55_37
| spl55_69 ),
inference(avatar_split_clause,[],[f1135,f1113,f831,f1147]) ).
fof(f1135,plain,
( sK33(nil) != cons(sK34(sK33(nil)),sK33(sK33(nil)))
| ~ spl55_37
| spl55_69 ),
inference(backward_demodulation,[],[f1114,f833]) ).
fof(f1143,plain,
( ~ spl55_71
| ~ spl55_37
| spl55_67 ),
inference(avatar_split_clause,[],[f1133,f1103,f831,f1140]) ).
fof(f1140,plain,
( spl55_71
<=> sK33(nil) = app(nil,sK33(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_71])]) ).
fof(f1103,plain,
( spl55_67
<=> app(nil,sK33(sK7)) = sK33(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_67])]) ).
fof(f1133,plain,
( sK33(nil) != app(nil,sK33(nil))
| ~ spl55_37
| spl55_67 ),
inference(backward_demodulation,[],[f1104,f833]) ).
fof(f1104,plain,
( app(nil,sK33(sK7)) != sK33(sK7)
| spl55_67 ),
inference(avatar_component_clause,[],[f1103]) ).
fof(f1121,plain,
( spl55_59
| ~ spl55_37
| ~ spl55_41 ),
inference(avatar_split_clause,[],[f1026,f855,f831,f1034]) ).
fof(f1120,plain,
( spl55_69
| spl55_70
| ~ spl55_56 ),
inference(avatar_split_clause,[],[f1099,f996,f1117,f1113]) ).
fof(f996,plain,
( spl55_56
<=> ssList(sK33(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_56])]) ).
fof(f1099,plain,
( nil = sK33(sK7)
| cons(sK34(sK33(sK7)),sK33(sK33(sK7))) = sK33(sK7)
| ~ spl55_56 ),
inference(resolution,[],[f997,f497]) ).
fof(f997,plain,
( ssList(sK33(sK7))
| ~ spl55_56 ),
inference(avatar_component_clause,[],[f996]) ).
fof(f1111,plain,
( spl55_68
| ~ spl55_56 ),
inference(avatar_split_clause,[],[f1100,f996,f1108]) ).
fof(f1100,plain,
( app(sK33(sK7),nil) = sK33(sK7)
| ~ spl55_56 ),
inference(resolution,[],[f997,f525]) ).
fof(f1106,plain,
( spl55_67
| ~ spl55_56 ),
inference(avatar_split_clause,[],[f1101,f996,f1103]) ).
fof(f1101,plain,
( app(nil,sK33(sK7)) = sK33(sK7)
| ~ spl55_56 ),
inference(resolution,[],[f997,f492]) ).
fof(f1096,plain,
( ~ spl55_44
| spl55_66
| ~ spl55_45
| ~ spl55_34 ),
inference(avatar_split_clause,[],[f1090,f817,f899,f1094,f895]) ).
fof(f1094,plain,
( spl55_66
<=> ! [X0] :
( ~ ssItem(X0)
| sK34(sK4) = X0
| memberP(sK33(sK4),X0)
| ~ memberP(sK4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_66])]) ).
fof(f1090,plain,
( ! [X0] :
( ~ ssItem(sK34(sK4))
| ~ ssItem(X0)
| ~ memberP(sK4,X0)
| ~ ssList(sK33(sK4))
| memberP(sK33(sK4),X0)
| sK34(sK4) = X0 )
| ~ spl55_34 ),
inference(superposition,[],[f424,f819]) ).
fof(f1085,plain,
( ~ spl55_64
| ~ spl55_11
| spl55_65
| ~ spl55_41 ),
inference(avatar_split_clause,[],[f1075,f855,f1083,f638,f1079]) ).
fof(f1075,plain,
( ! [X0] :
( memberP(nil,X0)
| ~ ssItem(X0)
| ~ ssList(nil)
| memberP(app(sK7,cons(sK6,nil)),X0)
| ~ memberP(sK4,X0)
| ~ ssList(app(sK7,cons(sK6,nil))) )
| ~ spl55_41 ),
inference(superposition,[],[f379,f857]) ).
fof(f1072,plain,
( spl55_37
| ~ spl55_9
| spl55_56 ),
inference(avatar_split_clause,[],[f1071,f996,f629,f831]) ).
fof(f1071,plain,
( ~ ssList(sK7)
| nil = sK7
| spl55_56 ),
inference(resolution,[],[f998,f499]) ).
fof(f998,plain,
( ~ ssList(sK33(sK7))
| spl55_56 ),
inference(avatar_component_clause,[],[f996]) ).
fof(f1061,plain,
( ~ spl55_63
| ~ spl55_37
| spl55_56 ),
inference(avatar_split_clause,[],[f1030,f996,f831,f1058]) ).
fof(f1058,plain,
( spl55_63
<=> ssList(sK33(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_63])]) ).
fof(f1030,plain,
( ~ ssList(sK33(nil))
| ~ spl55_37
| spl55_56 ),
inference(backward_demodulation,[],[f998,f833]) ).
fof(f1056,plain,
( ~ spl55_62
| ~ spl55_37
| spl55_57 ),
inference(avatar_split_clause,[],[f1031,f1001,f831,f1053]) ).
fof(f1053,plain,
( spl55_62
<=> memberP(nil,sK34(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_62])]) ).
fof(f1031,plain,
( ~ memberP(nil,sK34(nil))
| ~ spl55_37
| spl55_57 ),
inference(backward_demodulation,[],[f1002,f833]) ).
fof(f1002,plain,
( ~ memberP(sK7,sK34(sK7))
| spl55_57 ),
inference(avatar_component_clause,[],[f1001]) ).
fof(f1051,plain,
( ~ spl55_61
| ~ spl55_37
| spl55_55 ),
inference(avatar_split_clause,[],[f1029,f992,f831,f1048]) ).
fof(f1048,plain,
( spl55_61
<=> nil = sK33(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_61])]) ).
fof(f992,plain,
( spl55_55
<=> sK33(sK7) = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_55])]) ).
fof(f1029,plain,
( nil != sK33(nil)
| ~ spl55_37
| spl55_55 ),
inference(backward_demodulation,[],[f994,f833]) ).
fof(f994,plain,
( sK33(sK7) != sK7
| spl55_55 ),
inference(avatar_component_clause,[],[f992]) ).
fof(f1044,plain,
( ~ spl55_60
| ~ spl55_37
| spl55_54 ),
inference(avatar_split_clause,[],[f1028,f988,f831,f1041]) ).
fof(f1041,plain,
( spl55_60
<=> ssItem(sK34(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_60])]) ).
fof(f1028,plain,
( ~ ssItem(sK34(nil))
| ~ spl55_37
| spl55_54 ),
inference(backward_demodulation,[],[f990,f833]) ).
fof(f990,plain,
( ~ ssItem(sK34(sK7))
| spl55_54 ),
inference(avatar_component_clause,[],[f988]) ).
fof(f1037,plain,
( spl55_59
| ~ spl55_37
| ~ spl55_41 ),
inference(avatar_split_clause,[],[f1026,f855,f831,f1034]) ).
fof(f1021,plain,
( spl55_37
| ~ spl55_9
| spl55_54 ),
inference(avatar_split_clause,[],[f1020,f988,f629,f831]) ).
fof(f1020,plain,
( ~ ssList(sK7)
| nil = sK7
| spl55_54 ),
inference(resolution,[],[f990,f498]) ).
fof(f1008,plain,
( ~ spl55_54
| ~ spl55_56
| spl55_58
| ~ spl55_38 ),
inference(avatar_split_clause,[],[f982,f835,f1006,f996,f988]) ).
fof(f1006,plain,
( spl55_58
<=> ! [X0] :
( ~ memberP(sK33(sK7),X0)
| ~ ssItem(X0)
| memberP(sK7,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_58])]) ).
fof(f982,plain,
( ! [X0] :
( ~ memberP(sK33(sK7),X0)
| ~ ssList(sK33(sK7))
| memberP(sK7,X0)
| ~ ssItem(X0)
| ~ ssItem(sK34(sK7)) )
| ~ spl55_38 ),
inference(superposition,[],[f423,f837]) ).
fof(f1004,plain,
( ~ spl55_56
| ~ spl55_54
| spl55_57
| ~ spl55_38 ),
inference(avatar_split_clause,[],[f983,f835,f1001,f988,f996]) ).
fof(f983,plain,
( memberP(sK7,sK34(sK7))
| ~ ssItem(sK34(sK7))
| ~ ssList(sK33(sK7))
| ~ spl55_38 ),
inference(superposition,[],[f583,f837]) ).
fof(f999,plain,
( ~ spl55_54
| ~ spl55_55
| ~ spl55_56
| ~ spl55_38 ),
inference(avatar_split_clause,[],[f984,f835,f996,f992,f988]) ).
fof(f984,plain,
( ~ ssList(sK33(sK7))
| sK33(sK7) != sK7
| ~ ssItem(sK34(sK7))
| ~ spl55_38 ),
inference(superposition,[],[f420,f837]) ).
fof(f967,plain,
( spl55_53
| ~ spl55_45
| ~ spl55_1
| ~ spl55_43 ),
inference(avatar_split_clause,[],[f959,f891,f590,f899,f965]) ).
fof(f959,plain,
( ! [X1] :
( ~ ssList(sK4)
| ~ ssItem(sK34(sK4))
| memberP(app(sK4,X1),sK34(sK4))
| ~ ssList(X1) )
| ~ spl55_43 ),
inference(resolution,[],[f893,f380]) ).
fof(f963,plain,
( spl55_52
| ~ spl55_45
| ~ spl55_1
| ~ spl55_43 ),
inference(avatar_split_clause,[],[f958,f891,f590,f899,f961]) ).
fof(f958,plain,
( ! [X0] :
( ~ ssList(sK4)
| ~ ssItem(sK34(sK4))
| memberP(app(X0,sK4),sK34(sK4))
| ~ ssList(X0) )
| ~ spl55_43 ),
inference(resolution,[],[f893,f381]) ).
fof(f956,plain,
( ~ spl55_45
| ~ spl55_44
| spl55_51
| ~ spl55_34 ),
inference(avatar_split_clause,[],[f925,f817,f954,f895,f899]) ).
fof(f925,plain,
( ! [X0] :
( memberP(sK4,X0)
| ~ ssList(sK33(sK4))
| ~ ssItem(sK34(sK4))
| ~ ssItem(X0)
| ~ memberP(sK33(sK4),X0) )
| ~ spl55_34 ),
inference(superposition,[],[f423,f819]) ).
fof(f952,plain,
( ~ spl55_1
| spl55_5
| spl55_45 ),
inference(avatar_split_clause,[],[f951,f899,f610,f590]) ).
fof(f951,plain,
( nil = sK4
| ~ ssList(sK4)
| spl55_45 ),
inference(resolution,[],[f901,f498]) ).
fof(f901,plain,
( ~ ssItem(sK34(sK4))
| spl55_45 ),
inference(avatar_component_clause,[],[f899]) ).
fof(f950,plain,
( spl55_49
| spl55_50
| ~ spl55_44 ),
inference(avatar_split_clause,[],[f929,f895,f947,f943]) ).
fof(f947,plain,
( spl55_50
<=> sK33(sK4) = cons(sK34(sK33(sK4)),sK33(sK33(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_50])]) ).
fof(f929,plain,
( sK33(sK4) = cons(sK34(sK33(sK4)),sK33(sK33(sK4)))
| nil = sK33(sK4)
| ~ spl55_44 ),
inference(resolution,[],[f896,f497]) ).
fof(f941,plain,
( spl55_48
| ~ spl55_44 ),
inference(avatar_split_clause,[],[f931,f895,f938]) ).
fof(f931,plain,
( app(nil,sK33(sK4)) = sK33(sK4)
| ~ spl55_44 ),
inference(resolution,[],[f896,f492]) ).
fof(f936,plain,
( spl55_47
| ~ spl55_44 ),
inference(avatar_split_clause,[],[f930,f895,f933]) ).
fof(f933,plain,
( spl55_47
<=> app(sK33(sK4),nil) = sK33(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_47])]) ).
fof(f930,plain,
( app(sK33(sK4),nil) = sK33(sK4)
| ~ spl55_44 ),
inference(resolution,[],[f896,f525]) ).
fof(f909,plain,
( spl55_5
| ~ spl55_1
| spl55_44 ),
inference(avatar_split_clause,[],[f908,f895,f590,f610]) ).
fof(f908,plain,
( ~ ssList(sK4)
| nil = sK4
| spl55_44 ),
inference(resolution,[],[f897,f499]) ).
fof(f897,plain,
( ~ ssList(sK33(sK4))
| spl55_44 ),
inference(avatar_component_clause,[],[f895]) ).
fof(f907,plain,
( ~ spl55_44
| ~ spl55_45
| ~ spl55_46
| ~ spl55_34 ),
inference(avatar_split_clause,[],[f887,f817,f904,f899,f895]) ).
fof(f904,plain,
( spl55_46
<=> sK33(sK4) = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_46])]) ).
fof(f887,plain,
( sK33(sK4) != sK4
| ~ ssItem(sK34(sK4))
| ~ ssList(sK33(sK4))
| ~ spl55_34 ),
inference(superposition,[],[f420,f819]) ).
fof(f902,plain,
( spl55_43
| ~ spl55_44
| ~ spl55_45
| ~ spl55_34 ),
inference(avatar_split_clause,[],[f886,f817,f899,f895,f891]) ).
fof(f886,plain,
( ~ ssItem(sK34(sK4))
| ~ ssList(sK33(sK4))
| memberP(sK4,sK34(sK4))
| ~ spl55_34 ),
inference(superposition,[],[f583,f819]) ).
fof(f869,plain,
( ~ spl55_42
| spl55_39
| ~ spl55_40 ),
inference(avatar_split_clause,[],[f865,f844,f840,f861]) ).
fof(f861,plain,
( spl55_42
<=> nil = cons(sK34(nil),sK33(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_42])]) ).
fof(f840,plain,
( spl55_39
<=> cons(sK34(sK5),sK33(sK5)) = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_39])]) ).
fof(f844,plain,
( spl55_40
<=> nil = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_40])]) ).
fof(f865,plain,
( nil != cons(sK34(nil),sK33(nil))
| spl55_39
| ~ spl55_40 ),
inference(backward_demodulation,[],[f841,f846]) ).
fof(f846,plain,
( nil = sK5
| ~ spl55_40 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f841,plain,
( cons(sK34(sK5),sK33(sK5)) != sK5
| spl55_39 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f864,plain,
( ~ spl55_42
| spl55_35
| ~ spl55_36 ),
inference(avatar_split_clause,[],[f859,f826,f822,f861]) ).
fof(f859,plain,
( nil != cons(sK34(nil),sK33(nil))
| spl55_35
| ~ spl55_36 ),
inference(forward_demodulation,[],[f823,f828]) ).
fof(f823,plain,
( sK8 != cons(sK34(sK8),sK33(sK8))
| spl55_35 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f858,plain,
( spl55_41
| ~ spl55_13
| ~ spl55_36 ),
inference(avatar_split_clause,[],[f852,f826,f649,f855]) ).
fof(f847,plain,
( spl55_39
| spl55_40
| ~ spl55_2 ),
inference(avatar_split_clause,[],[f810,f595,f844,f840]) ).
fof(f595,plain,
( spl55_2
<=> ssList(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_2])]) ).
fof(f810,plain,
( nil = sK5
| cons(sK34(sK5),sK33(sK5)) = sK5
| ~ spl55_2 ),
inference(resolution,[],[f497,f597]) ).
fof(f597,plain,
( ssList(sK5)
| ~ spl55_2 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f838,plain,
( spl55_37
| spl55_38
| ~ spl55_9 ),
inference(avatar_split_clause,[],[f811,f629,f835,f831]) ).
fof(f811,plain,
( cons(sK34(sK7),sK33(sK7)) = sK7
| nil = sK7
| ~ spl55_9 ),
inference(resolution,[],[f497,f631]) ).
fof(f829,plain,
( spl55_35
| spl55_36
| ~ spl55_6 ),
inference(avatar_split_clause,[],[f812,f614,f826,f822]) ).
fof(f812,plain,
( nil = sK8
| sK8 = cons(sK34(sK8),sK33(sK8))
| ~ spl55_6 ),
inference(resolution,[],[f497,f616]) ).
fof(f820,plain,
( spl55_5
| spl55_34
| ~ spl55_1 ),
inference(avatar_split_clause,[],[f809,f590,f817,f610]) ).
fof(f809,plain,
( sK4 = cons(sK34(sK4),sK33(sK4))
| nil = sK4
| ~ spl55_1 ),
inference(resolution,[],[f497,f592]) ).
fof(f768,plain,
( spl55_33
| ~ spl55_2 ),
inference(avatar_split_clause,[],[f746,f595,f765]) ).
fof(f765,plain,
( spl55_33
<=> app(sK5,nil) = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_33])]) ).
fof(f746,plain,
( app(sK5,nil) = sK5
| ~ spl55_2 ),
inference(resolution,[],[f525,f597]) ).
fof(f763,plain,
( spl55_32
| ~ spl55_1 ),
inference(avatar_split_clause,[],[f745,f590,f760]) ).
fof(f760,plain,
( spl55_32
<=> app(sK4,nil) = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_32])]) ).
fof(f745,plain,
( app(sK4,nil) = sK4
| ~ spl55_1 ),
inference(resolution,[],[f525,f592]) ).
fof(f758,plain,
( spl55_31
| ~ spl55_9 ),
inference(avatar_split_clause,[],[f747,f629,f755]) ).
fof(f755,plain,
( spl55_31
<=> app(sK7,nil) = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_31])]) ).
fof(f747,plain,
( app(sK7,nil) = sK7
| ~ spl55_9 ),
inference(resolution,[],[f525,f631]) ).
fof(f753,plain,
( spl55_30
| ~ spl55_6 ),
inference(avatar_split_clause,[],[f748,f614,f750]) ).
fof(f750,plain,
( spl55_30
<=> app(sK8,nil) = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_30])]) ).
fof(f748,plain,
( app(sK8,nil) = sK8
| ~ spl55_6 ),
inference(resolution,[],[f525,f616]) ).
fof(f743,plain,
( spl55_29
| ~ spl55_1 ),
inference(avatar_split_clause,[],[f715,f590,f740]) ).
fof(f715,plain,
( app(nil,sK4) = sK4
| ~ spl55_1 ),
inference(resolution,[],[f492,f592]) ).
fof(f738,plain,
( spl55_28
| ~ spl55_2 ),
inference(avatar_split_clause,[],[f716,f595,f735]) ).
fof(f735,plain,
( spl55_28
<=> app(nil,sK5) = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_28])]) ).
fof(f716,plain,
( app(nil,sK5) = sK5
| ~ spl55_2 ),
inference(resolution,[],[f492,f597]) ).
fof(f733,plain,
( spl55_27
| ~ spl55_9 ),
inference(avatar_split_clause,[],[f717,f629,f730]) ).
fof(f730,plain,
( spl55_27
<=> app(nil,sK7) = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_27])]) ).
fof(f717,plain,
( app(nil,sK7) = sK7
| ~ spl55_9 ),
inference(resolution,[],[f492,f631]) ).
fof(f728,plain,
( spl55_26
| ~ spl55_6 ),
inference(avatar_split_clause,[],[f718,f614,f725]) ).
fof(f718,plain,
( app(nil,sK8) = sK8
| ~ spl55_6 ),
inference(resolution,[],[f492,f616]) ).
fof(f723,plain,
( spl55_25
| ~ spl55_11 ),
inference(avatar_split_clause,[],[f714,f638,f720]) ).
fof(f720,plain,
( spl55_25
<=> nil = app(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_25])]) ).
fof(f714,plain,
( nil = app(nil,nil)
| ~ spl55_11 ),
inference(resolution,[],[f492,f639]) ).
fof(f713,plain,
( ~ spl55_11
| spl55_24 ),
inference(avatar_split_clause,[],[f705,f711,f638]) ).
fof(f705,plain,
! [X2,X3] :
( ~ ssList(X3)
| ~ ssItem(sK9(X2,X3,nil))
| sK4 != app(app(X3,cons(X2,nil)),nil)
| ~ ssList(nil)
| ~ ssItem(X2) ),
inference(resolution,[],[f479,f552]) ).
fof(f709,plain,
( ~ spl55_11
| spl55_23 ),
inference(avatar_split_clause,[],[f704,f707,f638]) ).
fof(f704,plain,
! [X0,X1] :
( ~ ssItem(sK9(X0,nil,X1))
| ~ ssItem(X0)
| sK4 != app(app(nil,cons(X0,nil)),X1)
| ~ ssList(X1)
| ~ ssList(nil) ),
inference(resolution,[],[f479,f549]) ).
fof(f701,plain,
( spl55_22
| ~ spl55_18
| ~ spl55_8 ),
inference(avatar_split_clause,[],[f697,f624,f677,f699]) ).
fof(f699,plain,
( spl55_22
<=> ! [X0,X1] :
( sK4 != app(app(X0,cons(sK6,nil)),X1)
| ~ memberP(sK8,sK9(sK6,X0,X1))
| ~ ssList(X1)
| ~ ssItem(sK9(sK6,X0,X1))
| leq(sK9(sK6,X0,X1),sK6)
| ~ memberP(sK7,sK9(sK6,X0,X1))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_22])]) ).
fof(f624,plain,
( spl55_8
<=> ! [X7] :
( ~ ssItem(X7)
| ~ memberP(sK7,X7)
| ~ memberP(sK8,X7)
| ~ leq(sK6,X7)
| leq(X7,sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_8])]) ).
fof(f697,plain,
( ! [X0,X1] :
( ~ ssItem(sK6)
| sK4 != app(app(X0,cons(sK6,nil)),X1)
| ~ ssList(X0)
| ~ memberP(sK7,sK9(sK6,X0,X1))
| leq(sK9(sK6,X0,X1),sK6)
| ~ ssItem(sK9(sK6,X0,X1))
| ~ ssList(X1)
| ~ memberP(sK8,sK9(sK6,X0,X1)) )
| ~ spl55_8 ),
inference(resolution,[],[f550,f625]) ).
fof(f625,plain,
( ! [X7] :
( ~ leq(sK6,X7)
| leq(X7,sK6)
| ~ memberP(sK7,X7)
| ~ memberP(sK8,X7)
| ~ ssItem(X7) )
| ~ spl55_8 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f550,plain,
! [X10,X8,X9] :
( leq(X8,sK9(X8,X9,X10))
| ~ ssItem(X8)
| app(app(X9,cons(X8,nil)),X10) != sK4
| ~ ssList(X10)
| ~ ssList(X9) ),
inference(definition_unfolding,[],[f364,f368]) ).
fof(f364,plain,
! [X10,X8,X9] :
( ~ ssList(X10)
| app(app(X9,cons(X8,nil)),X10) != sK2
| leq(X8,sK9(X8,X9,X10))
| ~ ssList(X9)
| ~ ssItem(X8) ),
inference(cnf_transformation,[],[f238]) ).
fof(f696,plain,
spl55_21,
inference(avatar_split_clause,[],[f376,f693]) ).
fof(f693,plain,
( spl55_21
<=> cyclefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_21])]) ).
fof(f376,plain,
cyclefreeP(nil),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).
fof(f691,plain,
spl55_20,
inference(avatar_split_clause,[],[f496,f688]) ).
fof(f496,plain,
ssItem(sK32),
inference(cnf_transformation,[],[f302]) ).
fof(f302,plain,
( ssItem(sK32)
& sK31 != sK32
& ssItem(sK31) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31,sK32])],[f2,f301,f300]) ).
fof(f300,plain,
( ? [X0] :
( ? [X1] :
( ssItem(X1)
& X0 != X1 )
& ssItem(X0) )
=> ( ? [X1] :
( ssItem(X1)
& sK31 != X1 )
& ssItem(sK31) ) ),
introduced(choice_axiom,[]) ).
fof(f301,plain,
( ? [X1] :
( ssItem(X1)
& sK31 != X1 )
=> ( ssItem(sK32)
& sK31 != sK32 ) ),
introduced(choice_axiom,[]) ).
fof(f2,axiom,
? [X0] :
( ? [X1] :
( ssItem(X1)
& X0 != X1 )
& ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f685,plain,
~ spl55_19,
inference(avatar_split_clause,[],[f536,f682]) ).
fof(f682,plain,
( spl55_19
<=> singletonP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_19])]) ).
fof(f536,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).
fof(f680,plain,
( spl55_18
| spl55_5 ),
inference(avatar_split_clause,[],[f373,f610,f677]) ).
fof(f373,plain,
( nil = sK4
| ssItem(sK6) ),
inference(cnf_transformation,[],[f238]) ).
fof(f675,plain,
spl55_1,
inference(avatar_split_clause,[],[f554,f590]) ).
fof(f554,plain,
ssList(sK4),
inference(definition_unfolding,[],[f359,f368]) ).
fof(f359,plain,
ssList(sK2),
inference(cnf_transformation,[],[f238]) ).
fof(f674,plain,
spl55_17,
inference(avatar_split_clause,[],[f494,f671]) ).
fof(f494,plain,
ssItem(sK31),
inference(cnf_transformation,[],[f302]) ).
fof(f669,plain,
spl55_16,
inference(avatar_split_clause,[],[f481,f666]) ).
fof(f666,plain,
( spl55_16
<=> strictorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_16])]) ).
fof(f481,plain,
strictorderP(nil),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).
fof(f663,plain,
spl55_11,
inference(avatar_split_clause,[],[f493,f638]) ).
fof(f493,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f662,plain,
~ spl55_15,
inference(avatar_split_clause,[],[f495,f659]) ).
fof(f659,plain,
( spl55_15
<=> sK31 = sK32 ),
introduced(avatar_definition,[new_symbols(naming,[spl55_15])]) ).
fof(f495,plain,
sK31 != sK32,
inference(cnf_transformation,[],[f302]) ).
fof(f657,plain,
spl55_14,
inference(avatar_split_clause,[],[f408,f654]) ).
fof(f654,plain,
( spl55_14
<=> totalorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_14])]) ).
fof(f408,plain,
totalorderP(nil),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).
fof(f652,plain,
( spl55_5
| spl55_13 ),
inference(avatar_split_clause,[],[f371,f649,f610]) ).
fof(f371,plain,
( sK4 = app(app(sK7,cons(sK6,nil)),sK8)
| nil = sK4 ),
inference(cnf_transformation,[],[f238]) ).
fof(f647,plain,
~ spl55_5,
inference(avatar_split_clause,[],[f548,f610]) ).
fof(f548,plain,
nil != sK4,
inference(definition_unfolding,[],[f367,f368]) ).
fof(f367,plain,
nil != sK2,
inference(cnf_transformation,[],[f238]) ).
fof(f646,plain,
spl55_12,
inference(avatar_split_clause,[],[f348,f643]) ).
fof(f643,plain,
( spl55_12
<=> duplicatefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_12])]) ).
fof(f348,plain,
duplicatefreeP(nil),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax72) ).
fof(f641,plain,
( spl55_10
| ~ spl55_11 ),
inference(avatar_split_clause,[],[f572,f638,f634]) ).
fof(f634,plain,
( spl55_10
<=> rearsegP(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_10])]) ).
fof(f572,plain,
( ~ ssList(nil)
| rearsegP(nil,nil) ),
inference(equality_resolution,[],[f474]) ).
fof(f474,plain,
! [X0] :
( rearsegP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f293]) ).
fof(f293,plain,
! [X0] :
( ( ( nil = X0
| ~ rearsegP(nil,X0) )
& ( rearsegP(nil,X0)
| nil != X0 ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ( nil = X0
<=> rearsegP(nil,X0) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0] :
( ssList(X0)
=> ( nil = X0
<=> rearsegP(nil,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax52) ).
fof(f632,plain,
( spl55_5
| spl55_9 ),
inference(avatar_split_clause,[],[f369,f629,f610]) ).
fof(f369,plain,
( ssList(sK7)
| nil = sK4 ),
inference(cnf_transformation,[],[f238]) ).
fof(f627,plain,
spl55_2,
inference(avatar_split_clause,[],[f374,f595]) ).
fof(f374,plain,
ssList(sK5),
inference(cnf_transformation,[],[f238]) ).
fof(f626,plain,
( spl55_5
| spl55_8 ),
inference(avatar_split_clause,[],[f370,f624,f610]) ).
fof(f370,plain,
! [X7] :
( ~ ssItem(X7)
| leq(X7,sK6)
| nil = sK4
| ~ leq(sK6,X7)
| ~ memberP(sK8,X7)
| ~ memberP(sK7,X7) ),
inference(cnf_transformation,[],[f238]) ).
fof(f622,plain,
spl55_7,
inference(avatar_split_clause,[],[f345,f619]) ).
fof(f619,plain,
( spl55_7
<=> totalorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_7])]) ).
fof(f345,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).
fof(f617,plain,
( spl55_5
| spl55_6 ),
inference(avatar_split_clause,[],[f372,f614,f610]) ).
fof(f372,plain,
( ssList(sK8)
| nil = sK4 ),
inference(cnf_transformation,[],[f238]) ).
fof(f608,plain,
spl55_4,
inference(avatar_split_clause,[],[f387,f605]) ).
fof(f605,plain,
( spl55_4
<=> strictorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_4])]) ).
fof(f387,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69) ).
fof(f603,plain,
spl55_3,
inference(avatar_split_clause,[],[f347,f600]) ).
fof(f600,plain,
( spl55_3
<=> equalelemsP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_3])]) ).
fof(f347,plain,
equalelemsP(nil),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax74) ).
fof(f598,plain,
spl55_2,
inference(avatar_split_clause,[],[f547,f595]) ).
fof(f547,plain,
ssList(sK5),
inference(definition_unfolding,[],[f375,f366]) ).
fof(f366,plain,
sK3 = sK5,
inference(cnf_transformation,[],[f238]) ).
fof(f375,plain,
ssList(sK3),
inference(cnf_transformation,[],[f238]) ).
fof(f593,plain,
spl55_1,
inference(avatar_split_clause,[],[f360,f590]) ).
fof(f360,plain,
ssList(sK4),
inference(cnf_transformation,[],[f238]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC231+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 18:38:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.55 % (30994)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)
% 0.20/0.56 % (30999)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)
% 0.20/0.57 % (31004)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)
% 0.20/0.57 % (31005)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.58 % (31013)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)
% 0.20/0.58 % (30995)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)
% 0.20/0.58 % (31002)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)
% 0.20/0.58 % (31021)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.59 % (31007)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)
% 0.20/0.59 % (30996)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)
% 0.20/0.59 % (30998)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)
% 0.20/0.59 % (30993)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)
% 0.20/0.59 % (30997)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.59 % (31014)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.59 % (31006)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.59 % (31010)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.60 % (31016)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)
% 1.92/0.60 % (31003)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.92/0.60 % (31008)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)
% 1.92/0.61 % (31011)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.92/0.61 % (31017)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.92/0.61 % (31022)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)
% 1.92/0.61 % (31015)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)
% 1.92/0.61 % (31012)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)
% 1.92/0.61 TRYING [1]
% 1.92/0.61 TRYING [2]
% 2.09/0.62 % (31000)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 2.09/0.62 % (31009)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)
% 2.09/0.62 % (31019)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)
% 2.09/0.63 % (31020)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)
% 2.09/0.63 % (31018)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.09/0.63 % (31001)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.09/0.63 % (31001)Instruction limit reached!
% 2.09/0.63 % (31001)------------------------------
% 2.09/0.63 % (31001)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.63 % (31001)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.63 % (31001)Termination reason: Unknown
% 2.09/0.63 % (31001)Termination phase: Naming
% 2.09/0.63
% 2.09/0.63 % (31001)Memory used [KB]: 1151
% 2.09/0.63 % (31001)Time elapsed: 0.003 s
% 2.09/0.63 % (31001)Instructions burned: 3 (million)
% 2.09/0.63 % (31001)------------------------------
% 2.09/0.63 % (31001)------------------------------
% 2.09/0.63 % (30994)Refutation not found, incomplete strategy% (30994)------------------------------
% 2.09/0.63 % (30994)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.64 % (31000)Instruction limit reached!
% 2.09/0.64 % (31000)------------------------------
% 2.09/0.64 % (31000)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.64 % (31000)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.64 % (31000)Termination reason: Unknown
% 2.09/0.64 % (31000)Termination phase: Property scanning
% 2.09/0.64
% 2.09/0.64 % (31000)Memory used [KB]: 1279
% 2.09/0.64 % (31000)Time elapsed: 0.011 s
% 2.09/0.64 % (31000)Instructions burned: 8 (million)
% 2.09/0.64 % (31000)------------------------------
% 2.09/0.64 % (31000)------------------------------
% 2.09/0.64 % (30999)Instruction limit reached!
% 2.09/0.64 % (30999)------------------------------
% 2.09/0.64 % (30999)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.65 % (30994)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.65 % (30994)Termination reason: Refutation not found, incomplete strategy
% 2.09/0.65
% 2.09/0.65 % (30994)Memory used [KB]: 6396
% 2.09/0.65 % (30994)Time elapsed: 0.210 s
% 2.09/0.65 % (30994)Instructions burned: 30 (million)
% 2.09/0.65 % (30994)------------------------------
% 2.09/0.65 % (30994)------------------------------
% 2.33/0.65 % (30999)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.65 % (30999)Termination reason: Unknown
% 2.33/0.65 % (30999)Termination phase: Finite model building constraint generation
% 2.33/0.65
% 2.33/0.65 % (30999)Memory used [KB]: 7675
% 2.33/0.65 % (30999)Time elapsed: 0.198 s
% 2.33/0.65 % (30999)Instructions burned: 51 (million)
% 2.33/0.65 % (30999)------------------------------
% 2.33/0.65 % (30999)------------------------------
% 2.33/0.67 TRYING [1]
% 2.33/0.67 TRYING [2]
% 2.33/0.67 % (30995)Instruction limit reached!
% 2.33/0.67 % (30995)------------------------------
% 2.33/0.67 % (30995)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.67 % (30995)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.67 % (30995)Termination reason: Unknown
% 2.33/0.67 % (30995)Termination phase: Saturation
% 2.33/0.67
% 2.33/0.67 % (30995)Memory used [KB]: 1663
% 2.33/0.67 % (30995)Time elapsed: 0.230 s
% 2.33/0.67 % (30995)Instructions burned: 39 (million)
% 2.33/0.67 % (30995)------------------------------
% 2.33/0.67 % (30995)------------------------------
% 2.33/0.68 % (31002)Instruction limit reached!
% 2.33/0.68 % (31002)------------------------------
% 2.33/0.68 % (31002)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.68 % (31002)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.68 % (31002)Termination reason: Unknown
% 2.33/0.68 % (31002)Termination phase: Saturation
% 2.33/0.68
% 2.33/0.68 % (31002)Memory used [KB]: 2302
% 2.33/0.68 % (31002)Time elapsed: 0.261 s
% 2.33/0.68 % (31002)Instructions burned: 51 (million)
% 2.33/0.68 % (31002)------------------------------
% 2.33/0.68 % (31002)------------------------------
% 2.33/0.68 TRYING [3]
% 2.33/0.69 TRYING [1]
% 2.33/0.69 TRYING [2]
% 2.33/0.70 % (31003)Instruction limit reached!
% 2.33/0.70 % (31003)------------------------------
% 2.33/0.70 % (31003)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.70 % (31003)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.70 % (31003)Termination reason: Unknown
% 2.33/0.70 % (31003)Termination phase: Saturation
% 2.33/0.70
% 2.33/0.70 % (31003)Memory used [KB]: 6780
% 2.33/0.70 % (31003)Time elapsed: 0.271 s
% 2.33/0.70 % (31003)Instructions burned: 51 (million)
% 2.33/0.70 % (31003)------------------------------
% 2.33/0.70 % (31003)------------------------------
% 2.33/0.70 % (30998)Instruction limit reached!
% 2.33/0.70 % (30998)------------------------------
% 2.33/0.70 % (30998)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.70 % (30998)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.70 % (30998)Termination reason: Unknown
% 2.33/0.70 % (30998)Termination phase: Saturation
% 2.33/0.70
% 2.33/0.70 % (30998)Memory used [KB]: 6396
% 2.33/0.70 % (30998)Time elapsed: 0.265 s
% 2.33/0.70 % (30998)Instructions burned: 48 (million)
% 2.33/0.70 % (30998)------------------------------
% 2.33/0.70 % (30998)------------------------------
% 2.33/0.72 % (31010)Instruction limit reached!
% 2.33/0.72 % (31010)------------------------------
% 2.33/0.72 % (31010)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.72 % (31010)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.72 % (31010)Termination reason: Unknown
% 2.33/0.72 % (31010)Termination phase: Finite model building constraint generation
% 2.33/0.72
% 2.33/0.72 % (31010)Memory used [KB]: 7419
% 2.33/0.72 % (31010)Time elapsed: 0.274 s
% 2.33/0.72 % (31010)Instructions burned: 61 (million)
% 2.33/0.72 % (31010)------------------------------
% 2.33/0.72 % (31010)------------------------------
% 2.33/0.72 % (30997)Instruction limit reached!
% 2.33/0.72 % (30997)------------------------------
% 2.33/0.72 % (30997)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.72 % (30997)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.72 % (30997)Termination reason: Unknown
% 2.33/0.72 % (30997)Termination phase: Saturation
% 2.33/0.72
% 2.33/0.72 % (30997)Memory used [KB]: 6652
% 2.33/0.72 % (30997)Time elapsed: 0.290 s
% 2.33/0.72 % (30997)Instructions burned: 51 (million)
% 2.33/0.72 % (30997)------------------------------
% 2.33/0.72 % (30997)------------------------------
% 2.33/0.72 % (30996)Instruction limit reached!
% 2.33/0.72 % (30996)------------------------------
% 2.33/0.72 % (30996)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.72 % (30996)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.72 % (30996)Termination reason: Unknown
% 2.33/0.72 % (30996)Termination phase: Saturation
% 2.33/0.72
% 2.33/0.72 % (30996)Memory used [KB]: 6652
% 2.33/0.72 % (30996)Time elapsed: 0.300 s
% 2.33/0.72 % (30996)Instructions burned: 52 (million)
% 2.33/0.72 % (30996)------------------------------
% 2.33/0.72 % (30996)------------------------------
% 2.89/0.74 % (31007)Instruction limit reached!
% 2.89/0.74 % (31007)------------------------------
% 2.89/0.74 % (31007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.89/0.74 % (31007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.89/0.74 % (31007)Termination reason: Unknown
% 2.89/0.74 % (31007)Termination phase: Saturation
% 2.89/0.74
% 2.89/0.74 % (31007)Memory used [KB]: 7164
% 2.89/0.74 % (31007)Time elapsed: 0.048 s
% 2.89/0.74 % (31007)Instructions burned: 68 (million)
% 2.89/0.74 % (31007)------------------------------
% 2.89/0.74 % (31007)------------------------------
% 2.89/0.75 % (31014)Instruction limit reached!
% 2.89/0.75 % (31014)------------------------------
% 2.89/0.75 % (31014)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.89/0.75 % (31014)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.89/0.75 % (31014)Termination reason: Unknown
% 2.89/0.75 % (31014)Termination phase: Saturation
% 2.89/0.75
% 2.89/0.75 % (31014)Memory used [KB]: 7547
% 2.89/0.75 % (31014)Time elapsed: 0.326 s
% 2.89/0.75 % (31014)Instructions burned: 138 (million)
% 2.89/0.75 % (31014)------------------------------
% 2.89/0.75 % (31014)------------------------------
% 2.89/0.76 % (31008)Instruction limit reached!
% 2.89/0.76 % (31008)------------------------------
% 2.89/0.76 % (31008)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.89/0.76 % (31008)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.89/0.76 % (31008)Termination reason: Unknown
% 2.89/0.76 % (31008)Termination phase: Saturation
% 2.89/0.76
% 2.89/0.76 % (31008)Memory used [KB]: 2430
% 2.89/0.76 % (31008)Time elapsed: 0.274 s
% 2.89/0.76 % (31008)Instructions burned: 75 (million)
% 2.89/0.76 % (31008)------------------------------
% 2.89/0.76 % (31008)------------------------------
% 2.89/0.77 % (31055)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 (2997ds/388Mi)
% 3.16/0.78 % (31056)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 (2997ds/211Mi)
% 3.16/0.78 % (31006)Instruction limit reached!
% 3.16/0.78 % (31006)------------------------------
% 3.16/0.78 % (31006)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.16/0.78 % (31006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.16/0.78 % (31006)Termination reason: Unknown
% 3.16/0.78 % (31006)Termination phase: Saturation
% 3.16/0.78
% 3.16/0.78 % (31006)Memory used [KB]: 7547
% 3.16/0.78 % (31006)Time elapsed: 0.359 s
% 3.16/0.78 % (31006)Instructions burned: 99 (million)
% 3.16/0.78 % (31006)------------------------------
% 3.16/0.78 % (31006)------------------------------
% 3.16/0.78 % (31019)Instruction limit reached!
% 3.16/0.78 % (31019)------------------------------
% 3.16/0.78 % (31019)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.16/0.78 % (31019)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.16/0.78 % (31019)Termination reason: Unknown
% 3.16/0.78 % (31019)Termination phase: Saturation
% 3.16/0.78
% 3.16/0.78 % (31019)Memory used [KB]: 7164
% 3.16/0.78 % (31019)Time elapsed: 0.045 s
% 3.16/0.78 % (31019)Instructions burned: 69 (million)
% 3.16/0.78 % (31019)------------------------------
% 3.16/0.78 % (31019)------------------------------
% 3.16/0.79 % (31005)Instruction limit reached!
% 3.16/0.79 % (31005)------------------------------
% 3.16/0.79 % (31005)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.16/0.79 % (31058)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 3.16/0.80 % (31063)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)
% 3.16/0.80 % (31004)Instruction limit reached!
% 3.16/0.80 % (31004)------------------------------
% 3.16/0.80 % (31004)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.16/0.80 % (31004)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.16/0.80 % (31004)Termination reason: Unknown
% 3.16/0.80 % (31004)Termination phase: Saturation
% 3.16/0.80
% 3.16/0.80 % (31004)Memory used [KB]: 7803
% 3.16/0.80 % (31004)Time elapsed: 0.366 s
% 3.16/0.80 % (31004)Instructions burned: 100 (million)
% 3.16/0.80 % (31004)------------------------------
% 3.16/0.80 % (31004)------------------------------
% 3.16/0.80 % (31012)Instruction limit reached!
% 3.16/0.80 % (31012)------------------------------
% 3.16/0.80 % (31012)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.16/0.80 % (31012)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.16/0.80 % (31012)Termination reason: Unknown
% 3.16/0.80 % (31012)Termination phase: Saturation
% 3.16/0.80
% 3.16/0.80 % (31012)Memory used [KB]: 2558
% 3.16/0.80 % (31012)Time elapsed: 0.383 s
% 3.16/0.80 % (31012)Instructions burned: 100 (million)
% 3.16/0.80 % (31012)------------------------------
% 3.16/0.80 % (31012)------------------------------
% 3.16/0.80 % (31061)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 (2996ds/747Mi)
% 3.16/0.81 % (31009)Instruction limit reached!
% 3.16/0.81 % (31009)------------------------------
% 3.16/0.81 % (31009)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.16/0.81 % (31009)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.16/0.81 % (31009)Termination reason: Unknown
% 3.16/0.81 % (31009)Termination phase: Saturation
% 3.16/0.81
% 3.16/0.81 % (31009)Memory used [KB]: 6908
% 3.16/0.81 % (31009)Time elapsed: 0.367 s
% 3.16/0.81 % (31009)Instructions burned: 99 (million)
% 3.16/0.81 % (31009)------------------------------
% 3.16/0.81 % (31009)------------------------------
% 3.16/0.81 TRYING [4]
% 3.16/0.81 % (31005)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.16/0.81 % (31005)Termination reason: Unknown
% 3.16/0.81 % (31005)Termination phase: Saturation
% 3.16/0.81
% 3.16/0.81 % (31005)Memory used [KB]: 7547
% 3.16/0.81 % (31005)Time elapsed: 0.372 s
% 3.16/0.81 % (31005)Instructions burned: 102 (million)
% 3.16/0.81 % (31005)------------------------------
% 3.16/0.81 % (31005)------------------------------
% 3.16/0.81 % (31057)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)
% 3.16/0.83 % (31060)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 3.16/0.83 % (31070)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)
% 3.16/0.84 % (31011)Instruction limit reached!
% 3.16/0.84 % (31011)------------------------------
% 3.16/0.84 % (31011)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.16/0.84 % (31011)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.16/0.84 % (31011)Termination reason: Unknown
% 3.16/0.84 % (31011)Termination phase: Saturation
% 3.16/0.84
% 3.16/0.84 % (31011)Memory used [KB]: 7419
% 3.16/0.84 % (31011)Time elapsed: 0.395 s
% 3.16/0.84 % (31011)Instructions burned: 100 (million)
% 3.16/0.84 % (31011)------------------------------
% 3.16/0.84 % (31011)------------------------------
% 3.16/0.84 % (31074)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)
% 3.42/0.85 % (31062)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 (2996ds/655Mi)
% 3.42/0.85 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.42/0.85 % (31071)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)
% 3.46/0.86 % (31082)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)
% 3.46/0.87 % (31096)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 (2995ds/4958Mi)
% 3.46/0.88 % (31090)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 3.46/0.88 % (31105)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4959Mi)
% 3.46/0.90 % (31013)Instruction limit reached!
% 3.46/0.90 % (31013)------------------------------
% 3.46/0.90 % (31013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.46/0.90 % (31013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.46/0.90 % (31013)Termination reason: Unknown
% 3.46/0.90 % (31013)Termination phase: Saturation
% 3.46/0.90
% 3.46/0.90 % (31013)Memory used [KB]: 6652
% 3.46/0.90 % (31013)Time elapsed: 0.436 s
% 3.46/0.90 % (31013)Instructions burned: 178 (million)
% 3.46/0.90 % (31013)------------------------------
% 3.46/0.90 % (31013)------------------------------
% 3.46/0.91 % (31116)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)
% 3.46/0.91 % (31110)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 3.60/0.92 % (31063)Instruction limit reached!
% 3.60/0.92 % (31063)------------------------------
% 3.60/0.92 % (31063)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.60/0.92 % (31063)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.60/0.92 % (31063)Termination reason: Unknown
% 3.60/0.92 % (31063)Termination phase: Saturation
% 3.60/0.92
% 3.60/0.92 % (31063)Memory used [KB]: 7036
% 3.60/0.92 % (31063)Time elapsed: 0.038 s
% 3.60/0.92 % (31063)Instructions burned: 68 (million)
% 3.60/0.92 % (31063)------------------------------
% 3.60/0.92 % (31063)------------------------------
% 3.60/0.93 % (31122)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)
% 3.60/0.93 % (31115)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)
% 3.60/0.94 % (31119)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)
% 3.71/0.96 % (31020)Instruction limit reached!
% 3.71/0.96 % (31020)------------------------------
% 3.71/0.96 % (31020)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.71/0.97 % (31133)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.71/0.98 % (31057)Instruction limit reached!
% 3.71/0.98 % (31057)------------------------------
% 3.71/0.98 % (31057)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.71/0.98 % (31057)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.71/0.98 % (31057)Termination reason: Unknown
% 3.71/0.98 % (31057)Termination phase: Saturation
% 3.71/0.98
% 3.71/0.98 % (31057)Memory used [KB]: 7675
% 3.71/0.98 % (31057)Time elapsed: 0.280 s
% 3.71/0.98 % (31057)Instructions burned: 90 (million)
% 3.71/0.98 % (31057)------------------------------
% 3.71/0.98 % (31057)------------------------------
% 3.71/0.98 % (31020)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.71/0.98 % (31020)Termination reason: Unknown
% 3.71/0.98 % (31020)Termination phase: Saturation
% 3.71/0.98
% 3.71/0.98 % (31020)Memory used [KB]: 3582
% 3.71/0.98 % (31020)Time elapsed: 0.541 s
% 3.71/0.98 % (31020)Instructions burned: 179 (million)
% 3.71/0.98 % (31020)------------------------------
% 3.71/0.98 % (31020)------------------------------
% 3.71/1.00 % (31074)Instruction limit reached!
% 3.71/1.00 % (31074)------------------------------
% 3.71/1.00 % (31074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.71/1.00 % (31074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.71/1.00 % (31074)Termination reason: Unknown
% 3.71/1.00 % (31074)Termination phase: Saturation
% 3.71/1.00
% 3.71/1.00 % (31074)Memory used [KB]: 7547
% 3.71/1.00 % (31074)Time elapsed: 0.215 s
% 3.71/1.00 % (31074)Instructions burned: 91 (million)
% 3.71/1.00 % (31074)------------------------------
% 3.71/1.00 % (31074)------------------------------
% 3.71/1.01 % (31116)Instruction limit reached!
% 3.71/1.01 % (31116)------------------------------
% 3.71/1.01 % (31116)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.71/1.02 % (31116)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.71/1.02 % (31116)Termination reason: Unknown
% 3.71/1.02 % (31116)Termination phase: Saturation
% 3.71/1.02
% 3.71/1.02 % (31116)Memory used [KB]: 7164
% 3.71/1.02 % (31116)Time elapsed: 0.060 s
% 3.71/1.02 % (31116)Instructions burned: 68 (million)
% 3.71/1.02 % (31116)------------------------------
% 3.71/1.02 % (31116)------------------------------
% 4.10/1.04 % (31178)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4585Mi)
% 4.10/1.05 % (31196)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)
% 4.10/1.07 % (31223)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 (2993ds/2016Mi)
% 4.22/1.11 % (31056)Instruction limit reached!
% 4.22/1.11 % (31056)------------------------------
% 4.22/1.11 % (31056)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.22/1.11 % (31230)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 (2993ds/9965Mi)
% 4.22/1.12 % (31224)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/8004Mi)
% 4.22/1.12 % (31056)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.22/1.12 % (31056)Termination reason: Unknown
% 4.22/1.12 % (31056)Termination phase: Saturation
% 4.22/1.12
% 4.22/1.12 % (31056)Memory used [KB]: 4605
% 4.22/1.12 % (31056)Time elapsed: 0.420 s
% 4.22/1.12 % (31056)Instructions burned: 212 (million)
% 4.22/1.12 % (31056)------------------------------
% 4.22/1.12 % (31056)------------------------------
% 4.22/1.15 % (31237)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9877Mi)
% 6.47/1.19 TRYING [5]
% 6.83/1.23 % (31196)Instruction limit reached!
% 6.83/1.23 % (31196)------------------------------
% 6.83/1.23 % (31196)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.83/1.23 % (31196)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.83/1.23 % (31196)Termination reason: Unknown
% 6.83/1.23 % (31196)Termination phase: Saturation
% 6.83/1.23
% 6.83/1.23 % (31196)Memory used [KB]: 7036
% 6.83/1.23 % (31196)Time elapsed: 0.256 s
% 6.83/1.24 % (31196)Instructions burned: 90 (million)
% 6.83/1.24 % (31196)------------------------------
% 6.83/1.24 % (31196)------------------------------
% 6.83/1.24 % (31259)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)
% 6.83/1.25 % (31015)Instruction limit reached!
% 6.83/1.25 % (31015)------------------------------
% 6.83/1.25 % (31015)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.83/1.25 % (31015)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.83/1.25 % (31015)Termination reason: Unknown
% 6.83/1.25 % (31015)Termination phase: Saturation
% 6.83/1.25
% 6.83/1.25 % (31015)Memory used [KB]: 4349
% 6.83/1.25 % (31015)Time elapsed: 0.824 s
% 6.83/1.25 % (31015)Instructions burned: 499 (million)
% 6.83/1.25 % (31015)------------------------------
% 6.83/1.25 % (31015)------------------------------
% 7.08/1.26 % (31022)Instruction limit reached!
% 7.08/1.26 % (31022)------------------------------
% 7.08/1.26 % (31022)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.08/1.26 % (31022)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.08/1.26 % (31022)Termination reason: Unknown
% 7.08/1.26 % (31022)Termination phase: Saturation
% 7.08/1.26
% 7.08/1.26 % (31022)Memory used [KB]: 8827
% 7.08/1.26 % (31022)Time elapsed: 0.779 s
% 7.08/1.26 % (31022)Instructions burned: 355 (million)
% 7.08/1.26 % (31022)------------------------------
% 7.08/1.26 % (31022)------------------------------
% 7.56/1.36 % (31311)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9989Mi)
% 7.56/1.36 % (31308)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)
% 7.90/1.40 % (31314)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9707Mi)
% 7.90/1.40 % (31055)Instruction limit reached!
% 7.90/1.40 % (31055)------------------------------
% 7.90/1.40 % (31055)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.90/1.40 % (31055)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.90/1.40 % (31055)Termination reason: Unknown
% 7.90/1.40 % (31055)Termination phase: Saturation
% 7.90/1.40
% 7.90/1.40 % (31055)Memory used [KB]: 9210
% 7.90/1.40 % (31055)Time elapsed: 0.736 s
% 7.90/1.40 % (31055)Instructions burned: 389 (million)
% 7.90/1.40 % (31055)------------------------------
% 7.90/1.40 % (31055)------------------------------
% 7.90/1.43 % (31017)Instruction limit reached!
% 7.90/1.43 % (31017)------------------------------
% 7.90/1.43 % (31017)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.90/1.43 % (31017)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.90/1.43 % (31017)Termination reason: Unknown
% 7.90/1.43 % (31017)Termination phase: Saturation
% 7.90/1.43
% 7.90/1.43 % (31017)Memory used [KB]: 11897
% 7.90/1.43 % (31017)Time elapsed: 0.941 s
% 7.90/1.43 % (31017)Instructions burned: 482 (million)
% 7.90/1.43 % (31017)------------------------------
% 7.90/1.43 % (31017)------------------------------
% 7.90/1.43 % (31018)Instruction limit reached!
% 7.90/1.43 % (31018)------------------------------
% 7.90/1.43 % (31018)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.90/1.43 % (31018)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.90/1.43 % (31018)Termination reason: Unknown
% 7.90/1.43 % (31018)Termination phase: Saturation
% 7.90/1.43
% 7.90/1.43 % (31018)Memory used [KB]: 12537
% 7.90/1.43 % (31018)Time elapsed: 0.995 s
% 7.90/1.43 % (31018)Instructions burned: 501 (million)
% 7.90/1.43 % (31018)------------------------------
% 7.90/1.43 % (31018)------------------------------
% 7.90/1.43 % (31021)Instruction limit reached!
% 7.90/1.43 % (31021)------------------------------
% 7.90/1.43 % (31021)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.90/1.43 % (31021)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.90/1.43 % (31021)Termination reason: Unknown
% 7.90/1.43 % (31021)Termination phase: Saturation
% 7.90/1.43
% 7.90/1.43 % (31021)Memory used [KB]: 9850
% 7.90/1.43 % (31021)Time elapsed: 0.992 s
% 7.90/1.43 % (31021)Instructions burned: 441 (million)
% 7.90/1.43 % (31021)------------------------------
% 7.90/1.43 % (31021)------------------------------
% 8.66/1.51 % (31016)Instruction limit reached!
% 8.66/1.51 % (31016)------------------------------
% 8.66/1.51 % (31016)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.66/1.51 % (31016)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.66/1.51 % (31016)Termination reason: Unknown
% 8.66/1.51 % (31016)Termination phase: Saturation
% 8.66/1.51
% 8.66/1.51 % (31016)Memory used [KB]: 10746
% 8.66/1.51 % (31016)Time elapsed: 1.034 s
% 8.66/1.51 % (31016)Instructions burned: 467 (million)
% 8.66/1.51 % (31016)------------------------------
% 8.66/1.51 % (31016)------------------------------
% 8.98/1.54 % (31317)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 (2989ds/4958Mi)
% 8.98/1.55 % (31315)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)
% 9.11/1.56 % (31318)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 (2989ds/35256Mi)
% 9.11/1.57 % (31316)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 (2989ds/44001Mi)
% 9.54/1.65 % (31319)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)
% 10.42/1.70 % (31315)Instruction limit reached!
% 10.42/1.70 % (31315)------------------------------
% 10.42/1.70 % (31315)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.42/1.71 % (31315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.42/1.71 % (31315)Termination reason: Unknown
% 10.42/1.71 % (31315)Termination phase: Saturation
% 10.42/1.71
% 10.42/1.71 % (31315)Memory used [KB]: 7036
% 10.42/1.71 % (31315)Time elapsed: 0.262 s
% 10.42/1.71 % (31315)Instructions burned: 92 (million)
% 10.42/1.71 % (31315)------------------------------
% 10.42/1.71 % (31315)------------------------------
% 10.42/1.72 % (31062)Instruction limit reached!
% 10.42/1.72 % (31062)------------------------------
% 10.42/1.72 % (31062)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.42/1.72 % (31062)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.42/1.72 % (31062)Termination reason: Unknown
% 10.42/1.72 % (31062)Termination phase: Saturation
% 10.42/1.72
% 10.42/1.72 % (31062)Memory used [KB]: 4605
% 10.42/1.72 % (31062)Time elapsed: 0.990 s
% 10.42/1.72 % (31062)Instructions burned: 656 (million)
% 10.42/1.72 % (31062)------------------------------
% 10.42/1.72 % (31062)------------------------------
% 11.67/1.84 % (31320)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 (2986ds/37001Mi)
% 11.67/1.85 % (31321)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=10187:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/10187Mi)
% 13.48/2.12 TRYING [6]
% 13.89/2.16 % (31061)Instruction limit reached!
% 13.89/2.16 % (31061)------------------------------
% 13.89/2.16 % (31061)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 13.89/2.17 % (31061)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 13.89/2.17 % (31061)Termination reason: Unknown
% 13.89/2.17 % (31061)Termination phase: Saturation
% 13.89/2.17
% 13.89/2.17 % (31061)Memory used [KB]: 16119
% 13.89/2.17 % (31061)Time elapsed: 1.377 s
% 13.89/2.17 % (31061)Instructions burned: 747 (million)
% 13.89/2.17 % (31061)------------------------------
% 13.89/2.17 % (31061)------------------------------
% 15.18/2.31 % (31070)Instruction limit reached!
% 15.18/2.31 % (31070)------------------------------
% 15.18/2.31 % (31070)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.18/2.31 % (31070)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.18/2.31 % (31070)Termination reason: Unknown
% 15.18/2.31 % (31070)Termination phase: Saturation
% 15.18/2.31
% 15.18/2.31 % (31070)Memory used [KB]: 13944
% 15.18/2.31 % (31070)Time elapsed: 1.543 s
% 15.18/2.31 % (31070)Instructions burned: 941 (million)
% 15.18/2.31 % (31070)------------------------------
% 15.18/2.31 % (31070)------------------------------
% 15.18/2.31 % (31322)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=29337:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/29337Mi)
% 15.18/2.33 % (31060)Instruction limit reached!
% 15.18/2.33 % (31060)------------------------------
% 15.18/2.33 % (31060)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.18/2.34 % (31060)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.18/2.34 % (31060)Termination reason: Unknown
% 15.18/2.34 % (31060)Termination phase: Saturation
% 15.18/2.34
% 15.18/2.34 % (31060)Memory used [KB]: 22515
% 15.18/2.34 % (31060)Time elapsed: 1.618 s
% 15.18/2.34 % (31060)Instructions burned: 934 (million)
% 15.18/2.34 % (31060)------------------------------
% 15.18/2.34 % (31060)------------------------------
% 15.87/2.38 % (31071)Instruction limit reached!
% 15.87/2.38 % (31071)------------------------------
% 15.87/2.38 % (31071)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.01/2.39 % (31071)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.01/2.39 % (31071)Termination reason: Unknown
% 16.01/2.39 % (31071)Termination phase: Saturation
% 16.01/2.39
% 16.01/2.39 % (31071)Memory used [KB]: 18805
% 16.01/2.39 % (31071)Time elapsed: 1.598 s
% 16.01/2.39 % (31071)Instructions burned: 982 (million)
% 16.01/2.39 % (31071)------------------------------
% 16.01/2.39 % (31071)------------------------------
% 16.28/2.42 % (31323)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=10147:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/10147Mi)
% 16.39/2.47 % (31325)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=38056:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/38056Mi)
% 16.39/2.48 % (31058)Instruction limit reached!
% 16.39/2.48 % (31058)------------------------------
% 16.39/2.48 % (31058)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.39/2.49 % (31317)First to succeed.
% 16.39/2.50 TRYING [1]
% 16.39/2.50 TRYING [2]
% 16.39/2.50 % (31058)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.39/2.50 % (31058)Termination reason: Unknown
% 16.39/2.50 % (31058)Termination phase: Saturation
% 16.39/2.50
% 16.39/2.50 % (31058)Memory used [KB]: 22643
% 16.39/2.50 % (31058)Time elapsed: 1.777 s
% 16.39/2.50 % (31058)Instructions burned: 920 (million)
% 16.39/2.50 % (31058)------------------------------
% 16.39/2.50 % (31058)------------------------------
% 16.98/2.52 % (31326)fmb+10_1:1_dr=on:fmbsr=2.0:newcnf=on:nm=2:i=33239:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/33239Mi)
% 16.98/2.52 % (31317)Refutation found. Thanks to Tanya!
% 16.98/2.52 % SZS status Theorem for theBenchmark
% 16.98/2.52 % SZS output start Proof for theBenchmark
% See solution above
% 16.98/2.53 % (31317)------------------------------
% 16.98/2.53 % (31317)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.98/2.53 % (31317)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.98/2.53 % (31317)Termination reason: Refutation
% 16.98/2.53
% 16.98/2.53 % (31317)Memory used [KB]: 3070
% 16.98/2.53 % (31317)Time elapsed: 1.009 s
% 16.98/2.53 % (31317)Instructions burned: 757 (million)
% 16.98/2.53 % (31317)------------------------------
% 16.98/2.53 % (31317)------------------------------
% 16.98/2.53 % (30992)Success in time 2.17 s
%------------------------------------------------------------------------------