TSTP Solution File: SET725+4 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET725+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 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 : n025.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 18:25:27 EDT 2022
% Result : Theorem 11.53s 1.90s
% Output : Refutation 11.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 184
% Syntax : Number of formulae : 864 ( 72 unt; 0 def)
% Number of atoms : 3153 ( 102 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 4107 (1818 ~;1894 |; 165 &)
% ( 189 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 174 ( 172 usr; 165 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 6 con; 0-5 aty)
% Number of variables : 1036 ( 978 !; 58 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3049,plain,
$false,
inference(avatar_smt_refutation,[],[f214,f219,f224,f229,f234,f239,f463,f473,f483,f496,f557,f562,f573,f593,f626,f631,f643,f656,f697,f702,f712,f742,f796,f801,f811,f823,f913,f918,f928,f945,f1077,f1082,f1092,f1102,f1291,f1296,f1301,f1306,f1311,f1316,f1321,f1342,f1352,f1362,f1370,f1378,f1422,f1475,f1533,f1574,f1599,f1609,f1654,f1659,f1664,f1673,f1678,f1683,f1688,f1698,f1776,f1789,f1793,f1829,f1839,f1939,f1960,f2045,f2138,f2147,f2149,f2174,f2176,f2182,f2207,f2217,f2221,f2225,f2230,f2270,f2271,f2272,f2273,f2274,f2275,f2276,f2277,f2278,f2279,f2280,f2281,f2310,f2311,f2312,f2313,f2314,f2315,f2316,f2317,f2318,f2319,f2320,f2351,f2355,f2359,f2363,f2372,f2379,f2384,f2385,f2390,f2398,f2402,f2407,f2408,f2412,f2413,f2418,f2423,f2427,f2431,f2432,f2437,f2441,f2471,f2472,f2473,f2474,f2475,f2476,f2477,f2478,f2479,f2480,f2481,f2482,f2515,f2529,f2607,f2620,f2624,f2628,f2632,f2639,f2701,f2709,f2716,f2720,f2726,f2757,f2786,f2799,f2801,f2813,f2823,f2826,f2863,f2867,f2870,f2874,f2879,f2883,f2891,f2895,f2908,f2924,f2925,f2926,f2927,f2928,f2929,f2930,f2931,f2932,f2933,f2934,f2935,f2943,f2964,f2976,f2980,f2984,f2988,f3048]) ).
fof(f3048,plain,
( spl18_58
| ~ spl18_161 ),
inference(avatar_split_clause,[],[f3047,f2973,f1346]) ).
fof(f1346,plain,
( spl18_58
<=> injective(sK4,sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_58])]) ).
fof(f2973,plain,
( spl18_161
<=> sK7(sK0,sK4,sK1) = sK6(sK0,sK4,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_161])]) ).
fof(f3047,plain,
( injective(sK4,sK0,sK1)
| ~ spl18_161 ),
inference(trivial_inequality_removal,[],[f3045]) ).
fof(f3045,plain,
( sK6(sK0,sK4,sK1) != sK6(sK0,sK4,sK1)
| injective(sK4,sK0,sK1)
| ~ spl18_161 ),
inference(superposition,[],[f159,f2975]) ).
fof(f2975,plain,
( sK7(sK0,sK4,sK1) = sK6(sK0,sK4,sK1)
| ~ spl18_161 ),
inference(avatar_component_clause,[],[f2973]) ).
fof(f159,plain,
! [X2,X0,X1] :
( sK6(X0,X1,X2) != sK7(X0,X1,X2)
| injective(X1,X0,X2) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1,X2] :
( ( sK6(X0,X1,X2) != sK7(X0,X1,X2)
& member(sK8(X0,X1,X2),X2)
& member(sK6(X0,X1,X2),X0)
& member(sK7(X0,X1,X2),X0)
& apply(X1,sK7(X0,X1,X2),sK8(X0,X1,X2))
& apply(X1,sK6(X0,X1,X2),sK8(X0,X1,X2)) )
| injective(X1,X0,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f89,f90]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( X3 != X4
& member(X5,X2)
& member(X3,X0)
& member(X4,X0)
& apply(X1,X4,X5)
& apply(X1,X3,X5) )
=> ( sK6(X0,X1,X2) != sK7(X0,X1,X2)
& member(sK8(X0,X1,X2),X2)
& member(sK6(X0,X1,X2),X0)
& member(sK7(X0,X1,X2),X0)
& apply(X1,sK7(X0,X1,X2),sK8(X0,X1,X2))
& apply(X1,sK6(X0,X1,X2),sK8(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( X3 != X4
& member(X5,X2)
& member(X3,X0)
& member(X4,X0)
& apply(X1,X4,X5)
& apply(X1,X3,X5) )
| injective(X1,X0,X2) ),
inference(rectify,[],[f68]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ? [X4,X5,X3] :
( X4 != X5
& member(X3,X2)
& member(X4,X0)
& member(X5,X0)
& apply(X1,X5,X3)
& apply(X1,X4,X3) )
| injective(X1,X0,X2) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X1,X2,X0] :
( injective(X1,X0,X2)
| ? [X3,X5,X4] :
( X4 != X5
& apply(X1,X4,X3)
& apply(X1,X5,X3)
& member(X5,X0)
& member(X4,X0)
& member(X3,X2) ) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
! [X1,X2,X0] :
( ! [X3,X5,X4] :
( ( member(X5,X0)
& member(X4,X0)
& member(X3,X2) )
=> ( ( apply(X1,X4,X3)
& apply(X1,X5,X3) )
=> X4 = X5 ) )
=> injective(X1,X0,X2) ),
inference(unused_predicate_definition_removal,[],[f39]) ).
fof(f39,plain,
! [X1,X2,X0] :
( ! [X3,X5,X4] :
( ( member(X5,X0)
& member(X4,X0)
& member(X3,X2) )
=> ( ( apply(X1,X4,X3)
& apply(X1,X5,X3) )
=> X4 = X5 ) )
<=> injective(X1,X0,X2) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X0,X5,X1] :
( injective(X5,X0,X1)
<=> ! [X4,X12,X13] :
( ( member(X12,X0)
& member(X4,X1)
& member(X13,X0) )
=> ( ( apply(X5,X12,X4)
& apply(X5,X13,X4) )
=> X12 = X13 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',injective) ).
fof(f2988,plain,
( spl18_58
| spl18_164
| ~ spl18_3
| ~ spl18_160 ),
inference(avatar_split_clause,[],[f2968,f2961,f221,f2986,f1346]) ).
fof(f2986,plain,
( spl18_164
<=> ! [X6,X7,X8] :
( ~ member(sK8(sK0,sK4,sK1),X7)
| ~ member(sK8(sK0,sK4,sK1),X6)
| ~ member(sK7(sK0,sK4,sK1),X8)
| apply(compose_function(sK2,compose_function(sK4,sK3,sK1,sK0,sK1),X6,X7,X8),sK8(sK0,sK4,sK1),sK7(sK0,sK4,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_164])]) ).
fof(f221,plain,
( spl18_3
<=> identity(compose_function(sK4,sK3,sK1,sK0,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_3])]) ).
fof(f2961,plain,
( spl18_160
<=> apply(sK2,sK8(sK0,sK4,sK1),sK7(sK0,sK4,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_160])]) ).
fof(f2968,plain,
( ! [X8,X6,X7] :
( ~ member(sK8(sK0,sK4,sK1),X7)
| apply(compose_function(sK2,compose_function(sK4,sK3,sK1,sK0,sK1),X6,X7,X8),sK8(sK0,sK4,sK1),sK7(sK0,sK4,sK1))
| ~ member(sK7(sK0,sK4,sK1),X8)
| injective(sK4,sK0,sK1)
| ~ member(sK8(sK0,sK4,sK1),X6) )
| ~ spl18_3
| ~ spl18_160 ),
inference(resolution,[],[f2963,f384]) ).
fof(f384,plain,
( ! [X10,X11,X8,X6,X9,X7,X12] :
( ~ apply(X8,sK8(X7,X6,sK1),X12)
| injective(X6,X7,sK1)
| apply(compose_function(X8,compose_function(sK4,sK3,sK1,sK0,sK1),X9,X10,X11),sK8(X7,X6,sK1),X12)
| ~ member(sK8(X7,X6,sK1),X9)
| ~ member(sK8(X7,X6,sK1),X10)
| ~ member(X12,X11) )
| ~ spl18_3 ),
inference(resolution,[],[f300,f203]) ).
fof(f203,plain,
! [X2,X3,X0,X1,X8,X6,X4,X5] :
( ~ apply(X0,X3,X8)
| apply(compose_function(X1,X0,X5,X4,X6),X3,X2)
| ~ member(X2,X6)
| ~ apply(X1,X8,X2)
| ~ member(X8,X4)
| ~ member(X3,X5) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( ( apply(X0,X3,sK17(X0,X1,X2,X3,X4))
& apply(X1,sK17(X0,X1,X2,X3,X4),X2)
& member(sK17(X0,X1,X2,X3,X4),X4) )
| ~ apply(compose_function(X1,X0,X5,X4,X6),X3,X2) )
& ( apply(compose_function(X1,X0,X5,X4,X6),X3,X2)
| ! [X8] :
( ~ apply(X0,X3,X8)
| ~ apply(X1,X8,X2)
| ~ member(X8,X4) ) ) )
| ~ member(X3,X5)
| ~ member(X2,X6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f139,f140]) ).
fof(f140,plain,
! [X0,X1,X2,X3,X4] :
( ? [X7] :
( apply(X0,X3,X7)
& apply(X1,X7,X2)
& member(X7,X4) )
=> ( apply(X0,X3,sK17(X0,X1,X2,X3,X4))
& apply(X1,sK17(X0,X1,X2,X3,X4),X2)
& member(sK17(X0,X1,X2,X3,X4),X4) ) ),
introduced(choice_axiom,[]) ).
fof(f139,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( ? [X7] :
( apply(X0,X3,X7)
& apply(X1,X7,X2)
& member(X7,X4) )
| ~ apply(compose_function(X1,X0,X5,X4,X6),X3,X2) )
& ( apply(compose_function(X1,X0,X5,X4,X6),X3,X2)
| ! [X8] :
( ~ apply(X0,X3,X8)
| ~ apply(X1,X8,X2)
| ~ member(X8,X4) ) ) )
| ~ member(X3,X5)
| ~ member(X2,X6) ),
inference(rectify,[],[f138]) ).
fof(f138,plain,
! [X3,X2,X4,X5,X0,X6,X1] :
( ( ( ? [X7] :
( apply(X3,X5,X7)
& apply(X2,X7,X4)
& member(X7,X0) )
| ~ apply(compose_function(X2,X3,X6,X0,X1),X5,X4) )
& ( apply(compose_function(X2,X3,X6,X0,X1),X5,X4)
| ! [X7] :
( ~ apply(X3,X5,X7)
| ~ apply(X2,X7,X4)
| ~ member(X7,X0) ) ) )
| ~ member(X5,X6)
| ~ member(X4,X1) ),
inference(nnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X3,X2,X4,X5,X0,X6,X1] :
( ( ? [X7] :
( apply(X3,X5,X7)
& apply(X2,X7,X4)
& member(X7,X0) )
<=> apply(compose_function(X2,X3,X6,X0,X1),X5,X4) )
| ~ member(X5,X6)
| ~ member(X4,X1) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0,X5,X3,X1,X2,X6,X4] :
( ( ? [X7] :
( apply(X3,X5,X7)
& apply(X2,X7,X4)
& member(X7,X0) )
<=> apply(compose_function(X2,X3,X6,X0,X1),X5,X4) )
| ~ member(X5,X6)
| ~ member(X4,X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X5,X3,X1,X2,X6,X4] :
( ( member(X5,X6)
& member(X4,X1) )
=> ( ? [X7] :
( apply(X3,X5,X7)
& apply(X2,X7,X4)
& member(X7,X0) )
<=> apply(compose_function(X2,X3,X6,X0,X1),X5,X4) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X1,X10,X9,X5,X11,X2,X0] :
( ( member(X11,X10)
& member(X2,X0) )
=> ( ? [X4] :
( member(X4,X1)
& apply(X9,X4,X11)
& apply(X5,X2,X4) )
<=> apply(compose_function(X9,X5,X0,X1,X10),X2,X11) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose_function) ).
fof(f300,plain,
( ! [X12,X13] :
( apply(compose_function(sK4,sK3,sK1,sK0,sK1),sK8(X13,X12,sK1),sK8(X13,X12,sK1))
| injective(X12,X13,sK1) )
| ~ spl18_3 ),
inference(resolution,[],[f158,f241]) ).
fof(f241,plain,
( ! [X1] :
( ~ member(X1,sK1)
| apply(compose_function(sK4,sK3,sK1,sK0,sK1),X1,X1) )
| ~ spl18_3 ),
inference(resolution,[],[f172,f223]) ).
fof(f223,plain,
( identity(compose_function(sK4,sK3,sK1,sK0,sK1),sK1)
| ~ spl18_3 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f172,plain,
! [X2,X0,X1] :
( ~ identity(X0,X1)
| ~ member(X2,X1)
| apply(X0,X2,X2) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( ! [X2] :
( ~ member(X2,X1)
| apply(X0,X2,X2) )
| ~ identity(X0,X1) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
! [X1,X0] :
( identity(X0,X1)
=> ! [X2] :
( member(X2,X1)
=> apply(X0,X2,X2) ) ),
inference(unused_predicate_definition_removal,[],[f55]) ).
fof(f55,plain,
! [X1,X0] :
( ! [X2] :
( member(X2,X1)
=> apply(X0,X2,X2) )
<=> identity(X0,X1) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X5,X0] :
( ! [X2] :
( member(X2,X0)
=> apply(X5,X2,X2) )
<=> identity(X5,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f158,plain,
! [X2,X0,X1] :
( member(sK8(X0,X1,X2),X2)
| injective(X1,X0,X2) ),
inference(cnf_transformation,[],[f91]) ).
fof(f2963,plain,
( apply(sK2,sK8(sK0,sK4,sK1),sK7(sK0,sK4,sK1))
| ~ spl18_160 ),
inference(avatar_component_clause,[],[f2961]) ).
fof(f2984,plain,
( spl18_58
| spl18_163
| ~ spl18_160 ),
inference(avatar_split_clause,[],[f2967,f2961,f2982,f1346]) ).
fof(f2982,plain,
( spl18_163
<=> ! [X4,X5,X3] :
( ~ member(sK7(sK0,sK4,sK1),X5)
| ~ member(sK6(sK0,sK4,sK1),X4)
| apply(compose_function(sK2,sK4,X4,X3,X5),sK6(sK0,sK4,sK1),sK7(sK0,sK4,sK1))
| ~ member(sK8(sK0,sK4,sK1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_163])]) ).
fof(f2967,plain,
( ! [X3,X4,X5] :
( ~ member(sK7(sK0,sK4,sK1),X5)
| ~ member(sK6(sK0,sK4,sK1),X4)
| ~ member(sK8(sK0,sK4,sK1),X3)
| apply(compose_function(sK2,sK4,X4,X3,X5),sK6(sK0,sK4,sK1),sK7(sK0,sK4,sK1))
| injective(sK4,sK0,sK1) )
| ~ spl18_160 ),
inference(resolution,[],[f2963,f318]) ).
fof(f318,plain,
! [X21,X28,X26,X27,X24,X22,X25,X23] :
( ~ apply(X24,sK8(X22,X21,X23),X28)
| injective(X21,X22,X23)
| ~ member(sK8(X22,X21,X23),X26)
| ~ member(sK6(X22,X21,X23),X25)
| apply(compose_function(X24,X21,X25,X26,X27),sK6(X22,X21,X23),X28)
| ~ member(X28,X27) ),
inference(resolution,[],[f154,f203]) ).
fof(f154,plain,
! [X2,X0,X1] :
( apply(X1,sK6(X0,X1,X2),sK8(X0,X1,X2))
| injective(X1,X0,X2) ),
inference(cnf_transformation,[],[f91]) ).
fof(f2980,plain,
( spl18_162
| spl18_58
| ~ spl18_160 ),
inference(avatar_split_clause,[],[f2966,f2961,f1346,f2978]) ).
fof(f2978,plain,
( spl18_162
<=> ! [X2,X0,X1] :
( ~ member(sK8(sK0,sK4,sK1),X1)
| ~ member(sK7(sK0,sK4,sK1),X2)
| apply(compose_function(sK2,sK4,X0,X1,X2),sK7(sK0,sK4,sK1),sK7(sK0,sK4,sK1))
| ~ member(sK7(sK0,sK4,sK1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_162])]) ).
fof(f2966,plain,
( ! [X2,X0,X1] :
( injective(sK4,sK0,sK1)
| ~ member(sK8(sK0,sK4,sK1),X1)
| ~ member(sK7(sK0,sK4,sK1),X0)
| apply(compose_function(sK2,sK4,X0,X1,X2),sK7(sK0,sK4,sK1),sK7(sK0,sK4,sK1))
| ~ member(sK7(sK0,sK4,sK1),X2) )
| ~ spl18_160 ),
inference(resolution,[],[f2963,f331]) ).
fof(f331,plain,
! [X21,X28,X26,X27,X24,X22,X25,X23] :
( ~ apply(X24,sK8(X22,X21,X23),X28)
| ~ member(sK7(X22,X21,X23),X25)
| apply(compose_function(X24,X21,X25,X26,X27),sK7(X22,X21,X23),X28)
| injective(X21,X22,X23)
| ~ member(sK8(X22,X21,X23),X26)
| ~ member(X28,X27) ),
inference(resolution,[],[f155,f203]) ).
fof(f155,plain,
! [X2,X0,X1] :
( apply(X1,sK7(X0,X1,X2),sK8(X0,X1,X2))
| injective(X1,X0,X2) ),
inference(cnf_transformation,[],[f91]) ).
fof(f2976,plain,
( ~ spl18_146
| ~ spl18_103
| spl18_161
| ~ spl18_6
| ~ spl18_133
| ~ spl18_160 ),
inference(avatar_split_clause,[],[f2971,f2961,f2617,f236,f2973,f2179,f2788]) ).
fof(f2788,plain,
( spl18_146
<=> member(sK7(sK0,sK4,sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_146])]) ).
fof(f2179,plain,
( spl18_103
<=> member(sK8(sK0,sK4,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_103])]) ).
fof(f236,plain,
( spl18_6
<=> maps(sK2,sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_6])]) ).
fof(f2617,plain,
( spl18_133
<=> sK10(sK0,sK2,sK8(sK0,sK4,sK1)) = sK6(sK0,sK4,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_133])]) ).
fof(f2971,plain,
( sK7(sK0,sK4,sK1) = sK6(sK0,sK4,sK1)
| ~ member(sK8(sK0,sK4,sK1),sK1)
| ~ member(sK7(sK0,sK4,sK1),sK0)
| ~ spl18_6
| ~ spl18_133
| ~ spl18_160 ),
inference(forward_demodulation,[],[f2965,f2619]) ).
fof(f2619,plain,
( sK10(sK0,sK2,sK8(sK0,sK4,sK1)) = sK6(sK0,sK4,sK1)
| ~ spl18_133 ),
inference(avatar_component_clause,[],[f2617]) ).
fof(f2965,plain,
( ~ member(sK8(sK0,sK4,sK1),sK1)
| sK7(sK0,sK4,sK1) = sK10(sK0,sK2,sK8(sK0,sK4,sK1))
| ~ member(sK7(sK0,sK4,sK1),sK0)
| ~ spl18_6
| ~ spl18_160 ),
inference(resolution,[],[f2963,f599]) ).
fof(f599,plain,
( ! [X0,X1] :
( ~ apply(sK2,X0,X1)
| sK10(sK0,sK2,X0) = X1
| ~ member(X1,sK0)
| ~ member(X0,sK1) )
| ~ spl18_6 ),
inference(duplicate_literal_removal,[],[f598]) ).
fof(f598,plain,
( ! [X0,X1] :
( ~ member(X0,sK1)
| sK10(sK0,sK2,X0) = X1
| ~ member(X1,sK0)
| ~ member(X0,sK1)
| ~ apply(sK2,X0,X1) )
| ~ spl18_6 ),
inference(resolution,[],[f424,f251]) ).
fof(f251,plain,
( ! [X2] :
( member(sK10(sK0,sK2,X2),sK0)
| ~ member(X2,sK1) )
| ~ spl18_6 ),
inference(resolution,[],[f163,f238]) ).
fof(f238,plain,
( maps(sK2,sK1,sK0)
| ~ spl18_6 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f163,plain,
! [X2,X0,X1,X6] :
( ~ maps(X2,X0,X1)
| ~ member(X6,X0)
| member(sK10(X1,X2,X6),X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ maps(X2,X0,X1)
| ( ! [X3,X4,X5] :
( ~ apply(X2,X4,X3)
| ~ member(X4,X0)
| ~ member(X3,X1)
| ~ member(X5,X1)
| ~ apply(X2,X4,X5)
| X3 = X5 )
& ! [X6] :
( ~ member(X6,X0)
| ( apply(X2,X6,sK10(X1,X2,X6))
& member(sK10(X1,X2,X6),X1) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f96,f97]) ).
fof(f97,plain,
! [X1,X2,X6] :
( ? [X7] :
( apply(X2,X6,X7)
& member(X7,X1) )
=> ( apply(X2,X6,sK10(X1,X2,X6))
& member(sK10(X1,X2,X6),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ~ maps(X2,X0,X1)
| ( ! [X3,X4,X5] :
( ~ apply(X2,X4,X3)
| ~ member(X4,X0)
| ~ member(X3,X1)
| ~ member(X5,X1)
| ~ apply(X2,X4,X5)
| X3 = X5 )
& ! [X6] :
( ~ member(X6,X0)
| ? [X7] :
( apply(X2,X6,X7)
& member(X7,X1) ) ) ) ),
inference(rectify,[],[f66]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ maps(X1,X2,X0)
| ( ! [X7,X5,X6] :
( ~ apply(X1,X5,X7)
| ~ member(X5,X2)
| ~ member(X7,X0)
| ~ member(X6,X0)
| ~ apply(X1,X5,X6)
| X6 = X7 )
& ! [X3] :
( ~ member(X3,X2)
| ? [X4] :
( apply(X1,X3,X4)
& member(X4,X0) ) ) ) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
! [X1,X2,X0] :
( ( ! [X3] :
( ~ member(X3,X2)
| ? [X4] :
( apply(X1,X3,X4)
& member(X4,X0) ) )
& ! [X5,X7,X6] :
( X6 = X7
| ~ apply(X1,X5,X7)
| ~ apply(X1,X5,X6)
| ~ member(X5,X2)
| ~ member(X6,X0)
| ~ member(X7,X0) ) )
| ~ maps(X1,X2,X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X1,X2,X0] :
( maps(X1,X2,X0)
=> ( ! [X3] :
( member(X3,X2)
=> ? [X4] :
( apply(X1,X3,X4)
& member(X4,X0) ) )
& ! [X5,X7,X6] :
( ( member(X5,X2)
& member(X6,X0)
& member(X7,X0) )
=> ( ( apply(X1,X5,X7)
& apply(X1,X5,X6) )
=> X6 = X7 ) ) ) ),
inference(unused_predicate_definition_removal,[],[f33]) ).
fof(f33,plain,
! [X1,X2,X0] :
( maps(X1,X2,X0)
<=> ( ! [X3] :
( member(X3,X2)
=> ? [X4] :
( apply(X1,X3,X4)
& member(X4,X0) ) )
& ! [X5,X7,X6] :
( ( member(X5,X2)
& member(X6,X0)
& member(X7,X0) )
=> ( ( apply(X1,X5,X7)
& apply(X1,X5,X6) )
=> X6 = X7 ) ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X1,X5,X0] :
( ( ! [X2] :
( member(X2,X0)
=> ? [X4] :
( apply(X5,X2,X4)
& member(X4,X1) ) )
& ! [X2,X7,X6] :
( ( member(X6,X1)
& member(X7,X1)
& member(X2,X0) )
=> ( ( apply(X5,X2,X7)
& apply(X5,X2,X6) )
=> X6 = X7 ) ) )
<=> maps(X5,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maps) ).
fof(f424,plain,
( ! [X0,X1] :
( ~ member(sK10(sK0,sK2,X0),sK0)
| ~ apply(sK2,X0,X1)
| ~ member(X1,sK0)
| sK10(sK0,sK2,X0) = X1
| ~ member(X0,sK1) )
| ~ spl18_6 ),
inference(duplicate_literal_removal,[],[f423]) ).
fof(f423,plain,
( ! [X0,X1] :
( ~ member(X0,sK1)
| sK10(sK0,sK2,X0) = X1
| ~ member(X1,sK0)
| ~ member(sK10(sK0,sK2,X0),sK0)
| ~ member(X0,sK1)
| ~ apply(sK2,X0,X1) )
| ~ spl18_6 ),
inference(resolution,[],[f264,f238]) ).
fof(f264,plain,
( ! [X8,X6,X9,X7] :
( ~ maps(sK2,X9,X8)
| ~ apply(sK2,X6,X7)
| ~ member(X7,X8)
| ~ member(sK10(sK0,sK2,X6),X8)
| ~ member(X6,sK1)
| sK10(sK0,sK2,X6) = X7
| ~ member(X6,X9) )
| ~ spl18_6 ),
inference(resolution,[],[f255,f165]) ).
fof(f165,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ apply(X2,X4,X5)
| ~ member(X3,X1)
| ~ member(X5,X1)
| ~ apply(X2,X4,X3)
| ~ member(X4,X0)
| X3 = X5
| ~ maps(X2,X0,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f255,plain,
( ! [X2] :
( apply(sK2,X2,sK10(sK0,sK2,X2))
| ~ member(X2,sK1) )
| ~ spl18_6 ),
inference(resolution,[],[f164,f238]) ).
fof(f164,plain,
! [X2,X0,X1,X6] :
( ~ maps(X2,X0,X1)
| ~ member(X6,X0)
| apply(X2,X6,sK10(X1,X2,X6)) ),
inference(cnf_transformation,[],[f98]) ).
fof(f2964,plain,
( spl18_160
| ~ spl18_146
| ~ spl18_145
| ~ spl18_149 ),
inference(avatar_split_clause,[],[f2959,f2810,f2783,f2788,f2961]) ).
fof(f2783,plain,
( spl18_145
<=> sK8(sK0,sK4,sK1) = sK17(sK4,sK2,sK7(sK0,sK4,sK1),sK7(sK0,sK4,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_145])]) ).
fof(f2810,plain,
( spl18_149
<=> apply(compose_function(sK2,sK4,sK0,sK1,sK0),sK7(sK0,sK4,sK1),sK7(sK0,sK4,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_149])]) ).
fof(f2959,plain,
( ~ member(sK7(sK0,sK4,sK1),sK0)
| apply(sK2,sK8(sK0,sK4,sK1),sK7(sK0,sK4,sK1))
| ~ spl18_145
| ~ spl18_149 ),
inference(forward_demodulation,[],[f2954,f2785]) ).
fof(f2785,plain,
( sK8(sK0,sK4,sK1) = sK17(sK4,sK2,sK7(sK0,sK4,sK1),sK7(sK0,sK4,sK1),sK1)
| ~ spl18_145 ),
inference(avatar_component_clause,[],[f2783]) ).
fof(f2954,plain,
( ~ member(sK7(sK0,sK4,sK1),sK0)
| apply(sK2,sK17(sK4,sK2,sK7(sK0,sK4,sK1),sK7(sK0,sK4,sK1),sK1),sK7(sK0,sK4,sK1))
| ~ spl18_149 ),
inference(duplicate_literal_removal,[],[f2948]) ).
fof(f2948,plain,
( apply(sK2,sK17(sK4,sK2,sK7(sK0,sK4,sK1),sK7(sK0,sK4,sK1),sK1),sK7(sK0,sK4,sK1))
| ~ member(sK7(sK0,sK4,sK1),sK0)
| ~ member(sK7(sK0,sK4,sK1),sK0)
| ~ spl18_149 ),
inference(resolution,[],[f2812,f205]) ).
fof(f205,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X1,X0,X5,X4,X6),X3,X2)
| apply(X1,sK17(X0,X1,X2,X3,X4),X2)
| ~ member(X3,X5)
| ~ member(X2,X6) ),
inference(cnf_transformation,[],[f141]) ).
fof(f2812,plain,
( apply(compose_function(sK2,sK4,sK0,sK1,sK0),sK7(sK0,sK4,sK1),sK7(sK0,sK4,sK1))
| ~ spl18_149 ),
inference(avatar_component_clause,[],[f2810]) ).
fof(f2943,plain,
( spl18_58
| ~ spl18_2
| spl18_144 ),
inference(avatar_split_clause,[],[f2942,f2779,f216,f1346]) ).
fof(f216,plain,
( spl18_2
<=> identity(compose_function(sK2,sK4,sK0,sK1,sK0),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_2])]) ).
fof(f2779,plain,
( spl18_144
<=> member(sK17(sK4,sK2,sK7(sK0,sK4,sK1),sK7(sK0,sK4,sK1),sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_144])]) ).
fof(f2942,plain,
( injective(sK4,sK0,sK1)
| ~ spl18_2
| spl18_144 ),
inference(resolution,[],[f2781,f633]) ).
fof(f633,plain,
( ! [X0,X1] :
( member(sK17(sK4,sK2,sK7(sK0,X0,X1),sK7(sK0,X0,X1),sK1),sK1)
| injective(X0,sK0,X1) )
| ~ spl18_2 ),
inference(duplicate_literal_removal,[],[f632]) ).
fof(f632,plain,
( ! [X0,X1] :
( injective(X0,sK0,X1)
| member(sK17(sK4,sK2,sK7(sK0,X0,X1),sK7(sK0,X0,X1),sK1),sK1)
| injective(X0,sK0,X1) )
| ~ spl18_2 ),
inference(resolution,[],[f348,f156]) ).
fof(f156,plain,
! [X2,X0,X1] :
( member(sK7(X0,X1,X2),X0)
| injective(X1,X0,X2) ),
inference(cnf_transformation,[],[f91]) ).
fof(f348,plain,
( ! [X4,X5] :
( ~ member(sK7(sK0,X4,X5),sK0)
| injective(X4,sK0,X5)
| member(sK17(sK4,sK2,sK7(sK0,X4,X5),sK7(sK0,X4,X5),sK1),sK1) )
| ~ spl18_2 ),
inference(duplicate_literal_removal,[],[f343]) ).
fof(f343,plain,
( ! [X4,X5] :
( member(sK17(sK4,sK2,sK7(sK0,X4,X5),sK7(sK0,X4,X5),sK1),sK1)
| injective(X4,sK0,X5)
| ~ member(sK7(sK0,X4,X5),sK0)
| ~ member(sK7(sK0,X4,X5),sK0) )
| ~ spl18_2 ),
inference(resolution,[],[f268,f204]) ).
fof(f204,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X1,X0,X5,X4,X6),X3,X2)
| ~ member(X3,X5)
| ~ member(X2,X6)
| member(sK17(X0,X1,X2,X3,X4),X4) ),
inference(cnf_transformation,[],[f141]) ).
fof(f268,plain,
( ! [X8,X9] :
( apply(compose_function(sK2,sK4,sK0,sK1,sK0),sK7(sK0,X8,X9),sK7(sK0,X8,X9))
| injective(X8,sK0,X9) )
| ~ spl18_2 ),
inference(resolution,[],[f156,f240]) ).
fof(f240,plain,
( ! [X0] :
( ~ member(X0,sK0)
| apply(compose_function(sK2,sK4,sK0,sK1,sK0),X0,X0) )
| ~ spl18_2 ),
inference(resolution,[],[f172,f218]) ).
fof(f218,plain,
( identity(compose_function(sK2,sK4,sK0,sK1,sK0),sK0)
| ~ spl18_2 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f2781,plain,
( ~ member(sK17(sK4,sK2,sK7(sK0,sK4,sK1),sK7(sK0,sK4,sK1),sK1),sK1)
| spl18_144 ),
inference(avatar_component_clause,[],[f2779]) ).
fof(f2935,plain,
( spl18_58
| ~ spl18_151 ),
inference(avatar_split_clause,[],[f2909,f2858,f1346]) ).
fof(f2858,plain,
( spl18_151
<=> ! [X28] : ~ member(sK7(sK0,sK4,sK1),X28) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_151])]) ).
fof(f2909,plain,
( injective(sK4,sK0,sK1)
| ~ spl18_151 ),
inference(resolution,[],[f2859,f156]) ).
fof(f2859,plain,
( ! [X28] : ~ member(sK7(sK0,sK4,sK1),X28)
| ~ spl18_151 ),
inference(avatar_component_clause,[],[f2858]) ).
fof(f2934,plain,
~ spl18_151,
inference(avatar_contradiction_clause,[],[f2912]) ).
fof(f2912,plain,
( $false
| ~ spl18_151 ),
inference(resolution,[],[f2859,f563]) ).
fof(f563,plain,
! [X0] : member(X0,power_set(product(empty_set))),
inference(resolution,[],[f550,f178]) ).
fof(f178,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| member(X1,power_set(X0)) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( ( member(X1,power_set(X0))
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ~ member(X1,power_set(X0)) ) ),
inference(rectify,[],[f110]) ).
fof(f110,plain,
! [X1,X0] :
( ( member(X0,power_set(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ member(X0,power_set(X1)) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X1,X0] :
( member(X0,power_set(X1))
<=> subset(X0,X1) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X2,X0] :
( member(X2,power_set(X0))
<=> subset(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',power_set) ).
fof(f550,plain,
! [X24] : subset(X24,product(empty_set)),
inference(resolution,[],[f538,f162]) ).
fof(f162,plain,
! [X0,X1] :
( ~ member(sK9(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK9(X0,X1),X1)
& member(sK9(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f93,f94]) ).
fof(f94,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK9(X0,X1),X1)
& member(sK9(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).
fof(f538,plain,
! [X8] : member(X8,product(empty_set)),
inference(resolution,[],[f152,f189]) ).
fof(f189,plain,
! [X0] : ~ member(X0,empty_set),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] : ~ member(X0,empty_set),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2] : ~ member(X2,empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_set) ).
fof(f152,plain,
! [X0,X1] :
( member(sK5(X0,X1),X0)
| member(X1,product(X0)) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X0)
| member(X1,X2) )
| ~ member(X1,product(X0)) )
& ( member(X1,product(X0))
| ( member(sK5(X0,X1),X0)
& ~ member(X1,sK5(X0,X1)) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f86,f87]) ).
fof(f87,plain,
! [X0,X1] :
( ? [X3] :
( member(X3,X0)
& ~ member(X1,X3) )
=> ( member(sK5(X0,X1),X0)
& ~ member(X1,sK5(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X0)
| member(X1,X2) )
| ~ member(X1,product(X0)) )
& ( member(X1,product(X0))
| ? [X3] :
( member(X3,X0)
& ~ member(X1,X3) ) ) ),
inference(rectify,[],[f85]) ).
fof(f85,plain,
! [X1,X0] :
( ( ! [X2] :
( ~ member(X2,X1)
| member(X0,X2) )
| ~ member(X0,product(X1)) )
& ( member(X0,product(X1))
| ? [X2] :
( member(X2,X1)
& ~ member(X0,X2) ) ) ),
inference(nnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X1,X0] :
( ! [X2] :
( ~ member(X2,X1)
| member(X0,X2) )
<=> member(X0,product(X1)) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( member(X0,product(X1))
<=> ! [X2] :
( member(X2,X1)
=> member(X0,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X2,X0] :
( ! [X4] :
( member(X4,X0)
=> member(X2,X4) )
<=> member(X2,product(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product) ).
fof(f2933,plain,
~ spl18_151,
inference(avatar_contradiction_clause,[],[f2916]) ).
fof(f2916,plain,
( $false
| ~ spl18_151 ),
inference(resolution,[],[f2859,f959]) ).
fof(f959,plain,
! [X0] : member(X0,power_set(power_set(power_set(power_set(power_set(product(empty_set))))))),
inference(resolution,[],[f906,f178]) ).
fof(f906,plain,
! [X37] : subset(X37,power_set(power_set(power_set(power_set(product(empty_set)))))),
inference(resolution,[],[f838,f162]) ).
fof(f838,plain,
! [X0] : member(X0,power_set(power_set(power_set(power_set(product(empty_set)))))),
inference(resolution,[],[f789,f178]) ).
fof(f789,plain,
! [X37] : subset(X37,power_set(power_set(power_set(product(empty_set))))),
inference(resolution,[],[f757,f162]) ).
fof(f757,plain,
! [X0] : member(X0,power_set(power_set(power_set(product(empty_set))))),
inference(resolution,[],[f690,f178]) ).
fof(f690,plain,
! [X37] : subset(X37,power_set(power_set(product(empty_set)))),
inference(resolution,[],[f673,f162]) ).
fof(f673,plain,
! [X0] : member(X0,power_set(power_set(product(empty_set)))),
inference(resolution,[],[f619,f178]) ).
fof(f619,plain,
! [X37] : subset(X37,power_set(product(empty_set))),
inference(resolution,[],[f563,f162]) ).
fof(f2932,plain,
~ spl18_151,
inference(avatar_contradiction_clause,[],[f2919]) ).
fof(f2919,plain,
( $false
| ~ spl18_151 ),
inference(resolution,[],[f2859,f209]) ).
fof(f209,plain,
! [X1] : member(X1,singleton(X1)),
inference(equality_resolution,[],[f201]) ).
fof(f201,plain,
! [X0,X1] :
( member(X0,singleton(X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1] :
( ( X0 = X1
| ~ member(X0,singleton(X1)) )
& ( member(X0,singleton(X1))
| X0 != X1 ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( X0 = X1
<=> member(X0,singleton(X1)) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X2,X0] :
( member(X2,singleton(X0))
<=> X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton) ).
fof(f2931,plain,
~ spl18_151,
inference(avatar_contradiction_clause,[],[f2921]) ).
fof(f2921,plain,
( $false
| ~ spl18_151 ),
inference(resolution,[],[f2859,f208]) ).
fof(f208,plain,
! [X2,X1] : member(X1,unordered_pair(X1,X2)),
inference(equality_resolution,[],[f149]) ).
fof(f149,plain,
! [X2,X0,X1] :
( member(X1,unordered_pair(X0,X2))
| X0 != X1 ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ( member(X1,unordered_pair(X0,X2))
| ( X1 != X2
& X0 != X1 ) )
& ( X1 = X2
| X0 = X1
| ~ member(X1,unordered_pair(X0,X2)) ) ),
inference(rectify,[],[f83]) ).
fof(f83,plain,
! [X1,X2,X0] :
( ( member(X2,unordered_pair(X1,X0))
| ( X0 != X2
& X1 != X2 ) )
& ( X0 = X2
| X1 = X2
| ~ member(X2,unordered_pair(X1,X0)) ) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X1,X2,X0] :
( ( member(X2,unordered_pair(X1,X0))
| ( X0 != X2
& X1 != X2 ) )
& ( X0 = X2
| X1 = X2
| ~ member(X2,unordered_pair(X1,X0)) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X1,X2,X0] :
( member(X2,unordered_pair(X1,X0))
<=> ( X0 = X2
| X1 = X2 ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X0,X2] :
( ( X1 = X2
| X0 = X2 )
<=> member(X2,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair) ).
fof(f2930,plain,
~ spl18_151,
inference(avatar_contradiction_clause,[],[f2920]) ).
fof(f2920,plain,
( $false
| ~ spl18_151 ),
inference(resolution,[],[f2859,f207]) ).
fof(f207,plain,
! [X2,X0] : member(X2,unordered_pair(X0,X2)),
inference(equality_resolution,[],[f150]) ).
fof(f150,plain,
! [X2,X0,X1] :
( member(X1,unordered_pair(X0,X2))
| X1 != X2 ),
inference(cnf_transformation,[],[f84]) ).
fof(f2929,plain,
( ~ spl18_146
| ~ spl18_151 ),
inference(avatar_contradiction_clause,[],[f2910]) ).
fof(f2910,plain,
( $false
| ~ spl18_146
| ~ spl18_151 ),
inference(resolution,[],[f2859,f2789]) ).
fof(f2789,plain,
( member(sK7(sK0,sK4,sK1),sK0)
| ~ spl18_146 ),
inference(avatar_component_clause,[],[f2788]) ).
fof(f2928,plain,
~ spl18_151,
inference(avatar_contradiction_clause,[],[f2915]) ).
fof(f2915,plain,
( $false
| ~ spl18_151 ),
inference(resolution,[],[f2859,f838]) ).
fof(f2927,plain,
~ spl18_151,
inference(avatar_contradiction_clause,[],[f2913]) ).
fof(f2913,plain,
( $false
| ~ spl18_151 ),
inference(resolution,[],[f2859,f673]) ).
fof(f2926,plain,
~ spl18_151,
inference(avatar_contradiction_clause,[],[f2911]) ).
fof(f2911,plain,
( $false
| ~ spl18_151 ),
inference(resolution,[],[f2859,f412]) ).
fof(f412,plain,
! [X0] : member(X0,power_set(X0)),
inference(resolution,[],[f410,f178]) ).
fof(f410,plain,
! [X0] : subset(X0,X0),
inference(duplicate_literal_removal,[],[f409]) ).
fof(f409,plain,
! [X0] :
( subset(X0,X0)
| subset(X0,X0) ),
inference(resolution,[],[f162,f161]) ).
fof(f161,plain,
! [X0,X1] :
( member(sK9(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f2925,plain,
~ spl18_151,
inference(avatar_contradiction_clause,[],[f2914]) ).
fof(f2914,plain,
( $false
| ~ spl18_151 ),
inference(resolution,[],[f2859,f757]) ).
fof(f2924,plain,
~ spl18_151,
inference(avatar_contradiction_clause,[],[f2922]) ).
fof(f2922,plain,
( $false
| ~ spl18_151 ),
inference(resolution,[],[f2859,f538]) ).
fof(f2908,plain,
( ~ spl18_98
| spl18_159
| ~ spl18_2
| ~ spl18_4
| ~ spl18_5
| ~ spl18_97 ),
inference(avatar_split_clause,[],[f2902,f2127,f231,f226,f216,f2906,f2131]) ).
fof(f2131,plain,
( spl18_98
<=> member(sK6(sK0,sK4,sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_98])]) ).
fof(f2906,plain,
( spl18_159
<=> ! [X4,X0,X3,X2,X1] :
( ~ member(sK10(sK0,sK3,sK8(sK0,sK4,sK1)),X3)
| ~ apply(X0,sK10(sK0,sK3,sK8(sK0,sK4,sK1)),X1)
| ~ member(sK10(sK0,sK3,sK8(sK0,sK4,sK1)),X2)
| apply(compose_function(X0,compose_function(sK2,sK4,sK0,sK1,sK0),X3,X2,X4),sK10(sK0,sK3,sK8(sK0,sK4,sK1)),X1)
| ~ member(X1,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_159])]) ).
fof(f226,plain,
( spl18_4
<=> maps(sK3,sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_4])]) ).
fof(f231,plain,
( spl18_5
<=> maps(sK4,sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_5])]) ).
fof(f2127,plain,
( spl18_97
<=> sK8(sK0,sK4,sK1) = sK10(sK1,sK4,sK6(sK0,sK4,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_97])]) ).
fof(f2902,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ member(sK10(sK0,sK3,sK8(sK0,sK4,sK1)),X3)
| ~ member(sK6(sK0,sK4,sK1),sK0)
| ~ member(X1,X4)
| apply(compose_function(X0,compose_function(sK2,sK4,sK0,sK1,sK0),X3,X2,X4),sK10(sK0,sK3,sK8(sK0,sK4,sK1)),X1)
| ~ member(sK10(sK0,sK3,sK8(sK0,sK4,sK1)),X2)
| ~ apply(X0,sK10(sK0,sK3,sK8(sK0,sK4,sK1)),X1) )
| ~ spl18_2
| ~ spl18_4
| ~ spl18_5
| ~ spl18_97 ),
inference(superposition,[],[f607,f2129]) ).
fof(f2129,plain,
( sK8(sK0,sK4,sK1) = sK10(sK1,sK4,sK6(sK0,sK4,sK1))
| ~ spl18_97 ),
inference(avatar_component_clause,[],[f2127]) ).
fof(f607,plain,
( ! [X10,X11,X8,X9,X7,X12] :
( ~ apply(X8,sK10(sK0,sK3,sK10(sK1,sK4,X7)),X12)
| ~ member(sK10(sK0,sK3,sK10(sK1,sK4,X7)),X10)
| apply(compose_function(X8,compose_function(sK2,sK4,sK0,sK1,sK0),X9,X10,X11),sK10(sK0,sK3,sK10(sK1,sK4,X7)),X12)
| ~ member(sK10(sK0,sK3,sK10(sK1,sK4,X7)),X9)
| ~ member(X12,X11)
| ~ member(X7,sK0) )
| ~ spl18_2
| ~ spl18_4
| ~ spl18_5 ),
inference(resolution,[],[f294,f203]) ).
fof(f294,plain,
( ! [X5] :
( apply(compose_function(sK2,sK4,sK0,sK1,sK0),sK10(sK0,sK3,sK10(sK1,sK4,X5)),sK10(sK0,sK3,sK10(sK1,sK4,X5)))
| ~ member(X5,sK0) )
| ~ spl18_2
| ~ spl18_4
| ~ spl18_5 ),
inference(resolution,[],[f252,f250]) ).
fof(f250,plain,
( ! [X1] :
( member(sK10(sK1,sK4,X1),sK1)
| ~ member(X1,sK0) )
| ~ spl18_5 ),
inference(resolution,[],[f163,f233]) ).
fof(f233,plain,
( maps(sK4,sK0,sK1)
| ~ spl18_5 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f252,plain,
( ! [X0] :
( ~ member(X0,sK1)
| apply(compose_function(sK2,sK4,sK0,sK1,sK0),sK10(sK0,sK3,X0),sK10(sK0,sK3,X0)) )
| ~ spl18_2
| ~ spl18_4 ),
inference(resolution,[],[f249,f240]) ).
fof(f249,plain,
( ! [X0] :
( member(sK10(sK0,sK3,X0),sK0)
| ~ member(X0,sK1) )
| ~ spl18_4 ),
inference(resolution,[],[f163,f228]) ).
fof(f228,plain,
( maps(sK3,sK1,sK0)
| ~ spl18_4 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f2895,plain,
( spl18_151
| spl18_105
| ~ spl18_146
| spl18_158
| ~ spl18_3
| ~ spl18_5
| ~ spl18_148 ),
inference(avatar_split_clause,[],[f2848,f2796,f231,f221,f2893,f2788,f2209,f2858]) ).
fof(f2209,plain,
( spl18_105
<=> ! [X27] : ~ member(sK8(sK0,sK4,sK1),X27) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_105])]) ).
fof(f2893,plain,
( spl18_158
<=> ! [X23] :
( ~ member(sK8(sK0,sK4,sK1),X23)
| apply(compose_function(sK4,sK3,sK1,sK0,sK1),sK17(sK4,compose_function(sK4,sK3,sK1,sK0,sK1),sK8(sK0,sK4,sK1),sK7(sK0,sK4,sK1),X23),sK8(sK0,sK4,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_158])]) ).
fof(f2796,plain,
( spl18_148
<=> sK8(sK0,sK4,sK1) = sK10(sK1,sK4,sK7(sK0,sK4,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_148])]) ).
fof(f2848,plain,
( ! [X24,X25,X23] :
( ~ member(sK8(sK0,sK4,sK1),X23)
| ~ member(sK7(sK0,sK4,sK1),sK0)
| apply(compose_function(sK4,sK3,sK1,sK0,sK1),sK17(sK4,compose_function(sK4,sK3,sK1,sK0,sK1),sK8(sK0,sK4,sK1),sK7(sK0,sK4,sK1),X23),sK8(sK0,sK4,sK1))
| ~ member(sK8(sK0,sK4,sK1),X25)
| ~ member(sK7(sK0,sK4,sK1),X24) )
| ~ spl18_3
| ~ spl18_5
| ~ spl18_148 ),
inference(superposition,[],[f883,f2798]) ).
fof(f2798,plain,
( sK8(sK0,sK4,sK1) = sK10(sK1,sK4,sK7(sK0,sK4,sK1))
| ~ spl18_148 ),
inference(avatar_component_clause,[],[f2796]) ).
fof(f883,plain,
( ! [X6,X7,X4,X5] :
( ~ member(sK10(sK1,sK4,X4),X6)
| ~ member(X4,X5)
| apply(compose_function(sK4,sK3,sK1,sK0,sK1),sK17(sK4,compose_function(sK4,sK3,sK1,sK0,sK1),sK10(sK1,sK4,X4),X4,X6),sK10(sK1,sK4,X4))
| ~ member(sK10(sK1,sK4,X4),X7)
| ~ member(X4,sK0) )
| ~ spl18_3
| ~ spl18_5 ),
inference(duplicate_literal_removal,[],[f874]) ).
fof(f874,plain,
( ! [X6,X7,X4,X5] :
( ~ member(X4,sK0)
| ~ member(sK10(sK1,sK4,X4),X6)
| ~ member(sK10(sK1,sK4,X4),X7)
| ~ member(X4,X5)
| ~ member(X4,X5)
| apply(compose_function(sK4,sK3,sK1,sK0,sK1),sK17(sK4,compose_function(sK4,sK3,sK1,sK0,sK1),sK10(sK1,sK4,X4),X4,X6),sK10(sK1,sK4,X4))
| ~ member(sK10(sK1,sK4,X4),X7) )
| ~ spl18_3
| ~ spl18_5 ),
inference(resolution,[],[f447,f205]) ).
fof(f447,plain,
( ! [X2,X3,X0,X1] :
( apply(compose_function(compose_function(sK4,sK3,sK1,sK0,sK1),sK4,X1,X2,X3),X0,sK10(sK1,sK4,X0))
| ~ member(X0,X1)
| ~ member(X0,sK0)
| ~ member(sK10(sK1,sK4,X0),X2)
| ~ member(sK10(sK1,sK4,X0),X3) )
| ~ spl18_3
| ~ spl18_5 ),
inference(duplicate_literal_removal,[],[f443]) ).
fof(f443,plain,
( ! [X2,X3,X0,X1] :
( ~ member(X0,X1)
| ~ member(sK10(sK1,sK4,X0),X3)
| ~ member(sK10(sK1,sK4,X0),X2)
| ~ member(X0,sK0)
| apply(compose_function(compose_function(sK4,sK3,sK1,sK0,sK1),sK4,X1,X2,X3),X0,sK10(sK1,sK4,X0))
| ~ member(X0,sK0) )
| ~ spl18_3
| ~ spl18_5 ),
inference(resolution,[],[f261,f256]) ).
fof(f256,plain,
( ! [X0] :
( apply(compose_function(sK4,sK3,sK1,sK0,sK1),sK10(sK1,sK4,X0),sK10(sK1,sK4,X0))
| ~ member(X0,sK0) )
| ~ spl18_3
| ~ spl18_5 ),
inference(resolution,[],[f250,f241]) ).
fof(f261,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ apply(X1,sK10(sK1,sK4,X0),X5)
| ~ member(X0,sK0)
| apply(compose_function(X1,sK4,X2,X3,X4),X0,X5)
| ~ member(sK10(sK1,sK4,X0),X3)
| ~ member(X0,X2)
| ~ member(X5,X4) )
| ~ spl18_5 ),
inference(resolution,[],[f254,f203]) ).
fof(f254,plain,
( ! [X1] :
( apply(sK4,X1,sK10(sK1,sK4,X1))
| ~ member(X1,sK0) )
| ~ spl18_5 ),
inference(resolution,[],[f164,f233]) ).
fof(f2891,plain,
( ~ spl18_146
| spl18_105
| spl18_151
| spl18_157
| ~ spl18_3
| ~ spl18_5
| ~ spl18_148 ),
inference(avatar_split_clause,[],[f2850,f2796,f231,f221,f2889,f2858,f2209,f2788]) ).
fof(f2889,plain,
( spl18_157
<=> ! [X31] :
( ~ member(sK8(sK0,sK4,sK1),X31)
| apply(sK4,sK7(sK0,sK4,sK1),sK17(sK4,compose_function(sK4,sK3,sK1,sK0,sK1),sK8(sK0,sK4,sK1),sK7(sK0,sK4,sK1),X31)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_157])]) ).
fof(f2850,plain,
( ! [X31,X29,X30] :
( ~ member(sK8(sK0,sK4,sK1),X31)
| apply(sK4,sK7(sK0,sK4,sK1),sK17(sK4,compose_function(sK4,sK3,sK1,sK0,sK1),sK8(sK0,sK4,sK1),sK7(sK0,sK4,sK1),X31))
| ~ member(sK7(sK0,sK4,sK1),X30)
| ~ member(sK8(sK0,sK4,sK1),X29)
| ~ member(sK7(sK0,sK4,sK1),sK0) )
| ~ spl18_3
| ~ spl18_5
| ~ spl18_148 ),
inference(superposition,[],[f885,f2798]) ).
fof(f885,plain,
( ! [X2,X3,X0,X1] :
( ~ member(sK10(sK1,sK4,X0),X3)
| ~ member(X0,X1)
| ~ member(sK10(sK1,sK4,X0),X2)
| ~ member(X0,sK0)
| apply(sK4,X0,sK17(sK4,compose_function(sK4,sK3,sK1,sK0,sK1),sK10(sK1,sK4,X0),X0,X2)) )
| ~ spl18_3
| ~ spl18_5 ),
inference(duplicate_literal_removal,[],[f873]) ).
fof(f873,plain,
( ! [X2,X3,X0,X1] :
( ~ member(X0,sK0)
| ~ member(sK10(sK1,sK4,X0),X2)
| ~ member(X0,X1)
| ~ member(sK10(sK1,sK4,X0),X3)
| ~ member(sK10(sK1,sK4,X0),X3)
| ~ member(X0,X1)
| apply(sK4,X0,sK17(sK4,compose_function(sK4,sK3,sK1,sK0,sK1),sK10(sK1,sK4,X0),X0,X2)) )
| ~ spl18_3
| ~ spl18_5 ),
inference(resolution,[],[f447,f206]) ).
fof(f206,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X1,X0,X5,X4,X6),X3,X2)
| ~ member(X3,X5)
| ~ member(X2,X6)
| apply(X0,X3,sK17(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f141]) ).
fof(f2883,plain,
( ~ spl18_146
| spl18_156
| ~ spl18_3
| ~ spl18_5
| ~ spl18_148 ),
inference(avatar_split_clause,[],[f2841,f2796,f231,f221,f2881,f2788]) ).
fof(f2881,plain,
( spl18_156
<=> ! [X22,X20,X21] :
( apply(compose_function(compose_function(sK4,sK3,sK1,sK0,sK1),sK4,X20,X21,X22),sK7(sK0,sK4,sK1),sK8(sK0,sK4,sK1))
| ~ member(sK8(sK0,sK4,sK1),X21)
| ~ member(sK8(sK0,sK4,sK1),X22)
| ~ member(sK7(sK0,sK4,sK1),X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_156])]) ).
fof(f2841,plain,
( ! [X21,X22,X20] :
( apply(compose_function(compose_function(sK4,sK3,sK1,sK0,sK1),sK4,X20,X21,X22),sK7(sK0,sK4,sK1),sK8(sK0,sK4,sK1))
| ~ member(sK7(sK0,sK4,sK1),X20)
| ~ member(sK8(sK0,sK4,sK1),X22)
| ~ member(sK8(sK0,sK4,sK1),X21)
| ~ member(sK7(sK0,sK4,sK1),sK0) )
| ~ spl18_3
| ~ spl18_5
| ~ spl18_148 ),
inference(superposition,[],[f447,f2798]) ).
fof(f2879,plain,
( spl18_155
| ~ spl18_146
| ~ spl18_5
| ~ spl18_148 ),
inference(avatar_split_clause,[],[f2829,f2796,f231,f2788,f2876]) ).
fof(f2876,plain,
( spl18_155
<=> apply(sK4,sK7(sK0,sK4,sK1),sK8(sK0,sK4,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_155])]) ).
fof(f2829,plain,
( ~ member(sK7(sK0,sK4,sK1),sK0)
| apply(sK4,sK7(sK0,sK4,sK1),sK8(sK0,sK4,sK1))
| ~ spl18_5
| ~ spl18_148 ),
inference(superposition,[],[f254,f2798]) ).
fof(f2874,plain,
( ~ spl18_146
| spl18_154
| ~ spl18_5
| ~ spl18_148 ),
inference(avatar_split_clause,[],[f2831,f2796,f231,f2872,f2788]) ).
fof(f2872,plain,
( spl18_154
<=> ! [X4,X0,X3,X2,X1] :
( ~ member(sK7(sK0,sK4,sK1),X2)
| apply(compose_function(X0,sK4,X2,X3,X4),sK7(sK0,sK4,sK1),X1)
| ~ member(X1,X4)
| ~ apply(X0,sK8(sK0,sK4,sK1),X1)
| ~ member(sK8(sK0,sK4,sK1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_154])]) ).
fof(f2831,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ member(sK7(sK0,sK4,sK1),X2)
| ~ member(sK8(sK0,sK4,sK1),X3)
| ~ member(sK7(sK0,sK4,sK1),sK0)
| ~ member(X1,X4)
| ~ apply(X0,sK8(sK0,sK4,sK1),X1)
| apply(compose_function(X0,sK4,X2,X3,X4),sK7(sK0,sK4,sK1),X1) )
| ~ spl18_5
| ~ spl18_148 ),
inference(superposition,[],[f261,f2798]) ).
fof(f2870,plain,
( ~ spl18_146
| spl18_153
| ~ spl18_4
| ~ spl18_5
| ~ spl18_148 ),
inference(avatar_split_clause,[],[f2855,f2796,f231,f226,f2865,f2788]) ).
fof(f2865,plain,
( spl18_153
<=> ! [X13,X12,X11] :
( ~ member(sK10(sK0,sK3,sK8(sK0,sK4,sK1)),X13)
| ~ member(sK8(sK0,sK4,sK1),X11)
| apply(compose_function(sK3,sK4,X12,X11,X13),sK7(sK0,sK4,sK1),sK10(sK0,sK3,sK8(sK0,sK4,sK1)))
| ~ member(sK7(sK0,sK4,sK1),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_153])]) ).
fof(f2855,plain,
( ! [X46,X44,X45] :
( ~ member(sK8(sK0,sK4,sK1),X44)
| apply(compose_function(sK3,sK4,X46,X44,X45),sK7(sK0,sK4,sK1),sK10(sK0,sK3,sK8(sK0,sK4,sK1)))
| ~ member(sK7(sK0,sK4,sK1),sK0)
| ~ member(sK7(sK0,sK4,sK1),X46)
| ~ member(sK10(sK0,sK3,sK8(sK0,sK4,sK1)),X45) )
| ~ spl18_4
| ~ spl18_5
| ~ spl18_148 ),
inference(superposition,[],[f956,f2798]) ).
fof(f956,plain,
( ! [X2,X3,X0,X1] :
( ~ member(sK10(sK1,sK4,X0),X1)
| ~ member(X0,sK0)
| ~ member(sK10(sK0,sK3,sK10(sK1,sK4,X0)),X3)
| apply(compose_function(sK3,sK4,X2,X1,X3),X0,sK10(sK0,sK3,sK10(sK1,sK4,X0)))
| ~ member(X0,X2) )
| ~ spl18_4
| ~ spl18_5 ),
inference(duplicate_literal_removal,[],[f955]) ).
fof(f955,plain,
( ! [X2,X3,X0,X1] :
( ~ member(sK10(sK1,sK4,X0),X1)
| ~ member(X0,sK0)
| ~ member(X0,sK0)
| ~ member(sK10(sK0,sK3,sK10(sK1,sK4,X0)),X3)
| ~ member(X0,X2)
| apply(compose_function(sK3,sK4,X2,X1,X3),X0,sK10(sK0,sK3,sK10(sK1,sK4,X0))) )
| ~ spl18_4
| ~ spl18_5 ),
inference(resolution,[],[f444,f250]) ).
fof(f444,plain,
( ! [X6,X7,X4,X5] :
( ~ member(sK10(sK1,sK4,X4),sK1)
| ~ member(X4,sK0)
| ~ member(sK10(sK1,sK4,X4),X6)
| ~ member(X4,X5)
| ~ member(sK10(sK0,sK3,sK10(sK1,sK4,X4)),X7)
| apply(compose_function(sK3,sK4,X5,X6,X7),X4,sK10(sK0,sK3,sK10(sK1,sK4,X4))) )
| ~ spl18_4
| ~ spl18_5 ),
inference(resolution,[],[f261,f253]) ).
fof(f253,plain,
( ! [X0] :
( apply(sK3,X0,sK10(sK0,sK3,X0))
| ~ member(X0,sK1) )
| ~ spl18_4 ),
inference(resolution,[],[f164,f228]) ).
fof(f2867,plain,
( ~ spl18_103
| spl18_153
| ~ spl18_146
| ~ spl18_4
| ~ spl18_5
| ~ spl18_148 ),
inference(avatar_split_clause,[],[f2838,f2796,f231,f226,f2788,f2865,f2179]) ).
fof(f2838,plain,
( ! [X11,X12,X13] :
( ~ member(sK7(sK0,sK4,sK1),sK0)
| ~ member(sK10(sK0,sK3,sK8(sK0,sK4,sK1)),X13)
| ~ member(sK8(sK0,sK4,sK1),X11)
| ~ member(sK7(sK0,sK4,sK1),X12)
| apply(compose_function(sK3,sK4,X12,X11,X13),sK7(sK0,sK4,sK1),sK10(sK0,sK3,sK8(sK0,sK4,sK1)))
| ~ member(sK8(sK0,sK4,sK1),sK1) )
| ~ spl18_4
| ~ spl18_5
| ~ spl18_148 ),
inference(superposition,[],[f444,f2798]) ).
fof(f2863,plain,
( spl18_105
| spl18_151
| ~ spl18_146
| spl18_152
| ~ spl18_3
| ~ spl18_5
| ~ spl18_148 ),
inference(avatar_split_clause,[],[f2849,f2796,f231,f221,f2861,f2788,f2858,f2209]) ).
fof(f2861,plain,
( spl18_152
<=> ! [X26] :
( ~ member(sK8(sK0,sK4,sK1),X26)
| member(sK17(sK4,compose_function(sK4,sK3,sK1,sK0,sK1),sK8(sK0,sK4,sK1),sK7(sK0,sK4,sK1),X26),X26) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_152])]) ).
fof(f2849,plain,
( ! [X28,X26,X27] :
( ~ member(sK8(sK0,sK4,sK1),X26)
| ~ member(sK7(sK0,sK4,sK1),sK0)
| member(sK17(sK4,compose_function(sK4,sK3,sK1,sK0,sK1),sK8(sK0,sK4,sK1),sK7(sK0,sK4,sK1),X26),X26)
| ~ member(sK7(sK0,sK4,sK1),X28)
| ~ member(sK8(sK0,sK4,sK1),X27) )
| ~ spl18_3
| ~ spl18_5
| ~ spl18_148 ),
inference(superposition,[],[f884,f2798]) ).
fof(f884,plain,
( ! [X10,X11,X8,X9] :
( ~ member(sK10(sK1,sK4,X8),X10)
| ~ member(sK10(sK1,sK4,X8),X11)
| member(sK17(sK4,compose_function(sK4,sK3,sK1,sK0,sK1),sK10(sK1,sK4,X8),X8,X10),X10)
| ~ member(X8,sK0)
| ~ member(X8,X9) )
| ~ spl18_3
| ~ spl18_5 ),
inference(duplicate_literal_removal,[],[f875]) ).
fof(f875,plain,
( ! [X10,X11,X8,X9] :
( ~ member(X8,sK0)
| ~ member(sK10(sK1,sK4,X8),X11)
| ~ member(X8,X9)
| ~ member(X8,X9)
| ~ member(sK10(sK1,sK4,X8),X10)
| ~ member(sK10(sK1,sK4,X8),X11)
| member(sK17(sK4,compose_function(sK4,sK3,sK1,sK0,sK1),sK10(sK1,sK4,X8),X8,X10),X10) )
| ~ spl18_3
| ~ spl18_5 ),
inference(resolution,[],[f447,f204]) ).
fof(f2826,plain,
( ~ spl18_146
| ~ spl18_5
| spl18_147 ),
inference(avatar_split_clause,[],[f2825,f2792,f231,f2788]) ).
fof(f2792,plain,
( spl18_147
<=> member(sK10(sK1,sK4,sK7(sK0,sK4,sK1)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_147])]) ).
fof(f2825,plain,
( ~ member(sK7(sK0,sK4,sK1),sK0)
| ~ spl18_5
| spl18_147 ),
inference(resolution,[],[f2794,f250]) ).
fof(f2794,plain,
( ~ member(sK10(sK1,sK4,sK7(sK0,sK4,sK1)),sK1)
| spl18_147 ),
inference(avatar_component_clause,[],[f2792]) ).
fof(f2823,plain,
( ~ spl18_103
| ~ spl18_98
| spl18_150
| ~ spl18_2
| ~ spl18_5
| ~ spl18_6
| ~ spl18_97
| ~ spl18_133 ),
inference(avatar_split_clause,[],[f2819,f2617,f2127,f236,f231,f216,f2821,f2131,f2179]) ).
fof(f2821,plain,
( spl18_150
<=> ! [X2,X0,X1] :
( apply(compose_function(sK4,compose_function(sK2,sK4,sK0,sK1,sK0),X1,X2,X0),sK6(sK0,sK4,sK1),sK8(sK0,sK4,sK1))
| ~ member(sK8(sK0,sK4,sK1),X0)
| ~ member(sK6(sK0,sK4,sK1),X2)
| ~ member(sK6(sK0,sK4,sK1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_150])]) ).
fof(f2819,plain,
( ! [X2,X0,X1] :
( apply(compose_function(sK4,compose_function(sK2,sK4,sK0,sK1,sK0),X1,X2,X0),sK6(sK0,sK4,sK1),sK8(sK0,sK4,sK1))
| ~ member(sK6(sK0,sK4,sK1),sK0)
| ~ member(sK6(sK0,sK4,sK1),X1)
| ~ member(sK6(sK0,sK4,sK1),X2)
| ~ member(sK8(sK0,sK4,sK1),sK1)
| ~ member(sK8(sK0,sK4,sK1),X0) )
| ~ spl18_2
| ~ spl18_5
| ~ spl18_6
| ~ spl18_97
| ~ spl18_133 ),
inference(forward_demodulation,[],[f2818,f2129]) ).
fof(f2818,plain,
( ! [X2,X0,X1] :
( ~ member(sK6(sK0,sK4,sK1),X1)
| ~ member(sK8(sK0,sK4,sK1),sK1)
| ~ member(sK6(sK0,sK4,sK1),X2)
| ~ member(sK10(sK1,sK4,sK6(sK0,sK4,sK1)),X0)
| apply(compose_function(sK4,compose_function(sK2,sK4,sK0,sK1,sK0),X1,X2,X0),sK6(sK0,sK4,sK1),sK8(sK0,sK4,sK1))
| ~ member(sK6(sK0,sK4,sK1),sK0) )
| ~ spl18_2
| ~ spl18_5
| ~ spl18_6
| ~ spl18_97
| ~ spl18_133 ),
inference(forward_demodulation,[],[f2816,f2129]) ).
fof(f2816,plain,
( ! [X2,X0,X1] :
( ~ member(sK6(sK0,sK4,sK1),sK0)
| ~ member(sK6(sK0,sK4,sK1),X1)
| apply(compose_function(sK4,compose_function(sK2,sK4,sK0,sK1,sK0),X1,X2,X0),sK6(sK0,sK4,sK1),sK10(sK1,sK4,sK6(sK0,sK4,sK1)))
| ~ member(sK6(sK0,sK4,sK1),X2)
| ~ member(sK8(sK0,sK4,sK1),sK1)
| ~ member(sK10(sK1,sK4,sK6(sK0,sK4,sK1)),X0) )
| ~ spl18_2
| ~ spl18_5
| ~ spl18_6
| ~ spl18_133 ),
inference(superposition,[],[f948,f2619]) ).
fof(f948,plain,
( ! [X10,X11,X8,X9] :
( ~ member(sK10(sK0,sK2,X8),sK0)
| ~ member(sK10(sK1,sK4,sK10(sK0,sK2,X8)),X9)
| apply(compose_function(sK4,compose_function(sK2,sK4,sK0,sK1,sK0),X11,X10,X9),sK10(sK0,sK2,X8),sK10(sK1,sK4,sK10(sK0,sK2,X8)))
| ~ member(X8,sK1)
| ~ member(sK10(sK0,sK2,X8),X11)
| ~ member(sK10(sK0,sK2,X8),X10) )
| ~ spl18_2
| ~ spl18_5
| ~ spl18_6 ),
inference(resolution,[],[f336,f254]) ).
fof(f336,plain,
( ! [X3,X8,X6,X7,X4,X5] :
( ~ apply(X4,sK10(sK0,sK2,X3),X8)
| ~ member(X8,X7)
| ~ member(sK10(sK0,sK2,X3),X6)
| ~ member(sK10(sK0,sK2,X3),X5)
| apply(compose_function(X4,compose_function(sK2,sK4,sK0,sK1,sK0),X5,X6,X7),sK10(sK0,sK2,X3),X8)
| ~ member(X3,sK1) )
| ~ spl18_2
| ~ spl18_6 ),
inference(resolution,[],[f257,f203]) ).
fof(f257,plain,
( ! [X0] :
( apply(compose_function(sK2,sK4,sK0,sK1,sK0),sK10(sK0,sK2,X0),sK10(sK0,sK2,X0))
| ~ member(X0,sK1) )
| ~ spl18_2
| ~ spl18_6 ),
inference(resolution,[],[f251,f240]) ).
fof(f2813,plain,
( spl18_149
| ~ spl18_2
| ~ spl18_146 ),
inference(avatar_split_clause,[],[f2808,f2788,f216,f2810]) ).
fof(f2808,plain,
( apply(compose_function(sK2,sK4,sK0,sK1,sK0),sK7(sK0,sK4,sK1),sK7(sK0,sK4,sK1))
| ~ spl18_2
| ~ spl18_146 ),
inference(resolution,[],[f2789,f240]) ).
fof(f2801,plain,
( spl18_58
| spl18_146 ),
inference(avatar_split_clause,[],[f2800,f2788,f1346]) ).
fof(f2800,plain,
( injective(sK4,sK0,sK1)
| spl18_146 ),
inference(resolution,[],[f2790,f156]) ).
fof(f2790,plain,
( ~ member(sK7(sK0,sK4,sK1),sK0)
| spl18_146 ),
inference(avatar_component_clause,[],[f2788]) ).
fof(f2799,plain,
( ~ spl18_146
| ~ spl18_147
| spl18_148
| ~ spl18_5
| ~ spl18_86 ),
inference(avatar_split_clause,[],[f2776,f1791,f231,f2796,f2792,f2788]) ).
fof(f1791,plain,
( spl18_86
<=> ! [X0] :
( sK8(sK0,sK4,sK1) = X0
| ~ member(X0,sK1)
| ~ apply(sK4,sK7(sK0,sK4,sK1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_86])]) ).
fof(f2776,plain,
( sK8(sK0,sK4,sK1) = sK10(sK1,sK4,sK7(sK0,sK4,sK1))
| ~ member(sK10(sK1,sK4,sK7(sK0,sK4,sK1)),sK1)
| ~ member(sK7(sK0,sK4,sK1),sK0)
| ~ spl18_5
| ~ spl18_86 ),
inference(resolution,[],[f1792,f254]) ).
fof(f1792,plain,
( ! [X0] :
( ~ apply(sK4,sK7(sK0,sK4,sK1),X0)
| sK8(sK0,sK4,sK1) = X0
| ~ member(X0,sK1) )
| ~ spl18_86 ),
inference(avatar_component_clause,[],[f1791]) ).
fof(f2786,plain,
( ~ spl18_144
| spl18_58
| spl18_145
| ~ spl18_2
| ~ spl18_86 ),
inference(avatar_split_clause,[],[f2777,f1791,f216,f2783,f1346,f2779]) ).
fof(f2777,plain,
( sK8(sK0,sK4,sK1) = sK17(sK4,sK2,sK7(sK0,sK4,sK1),sK7(sK0,sK4,sK1),sK1)
| injective(sK4,sK0,sK1)
| ~ member(sK17(sK4,sK2,sK7(sK0,sK4,sK1),sK7(sK0,sK4,sK1),sK1),sK1)
| ~ spl18_2
| ~ spl18_86 ),
inference(resolution,[],[f1792,f750]) ).
fof(f750,plain,
( ! [X0,X1] :
( apply(sK4,sK7(sK0,X0,X1),sK17(sK4,sK2,sK7(sK0,X0,X1),sK7(sK0,X0,X1),sK1))
| injective(X0,sK0,X1) )
| ~ spl18_2 ),
inference(duplicate_literal_removal,[],[f749]) ).
fof(f749,plain,
( ! [X0,X1] :
( injective(X0,sK0,X1)
| apply(sK4,sK7(sK0,X0,X1),sK17(sK4,sK2,sK7(sK0,X0,X1),sK7(sK0,X0,X1),sK1))
| injective(X0,sK0,X1) )
| ~ spl18_2 ),
inference(resolution,[],[f346,f156]) ).
fof(f346,plain,
( ! [X0,X1] :
( ~ member(sK7(sK0,X0,X1),sK0)
| injective(X0,sK0,X1)
| apply(sK4,sK7(sK0,X0,X1),sK17(sK4,sK2,sK7(sK0,X0,X1),sK7(sK0,X0,X1),sK1)) )
| ~ spl18_2 ),
inference(duplicate_literal_removal,[],[f341]) ).
fof(f341,plain,
( ! [X0,X1] :
( injective(X0,sK0,X1)
| apply(sK4,sK7(sK0,X0,X1),sK17(sK4,sK2,sK7(sK0,X0,X1),sK7(sK0,X0,X1),sK1))
| ~ member(sK7(sK0,X0,X1),sK0)
| ~ member(sK7(sK0,X0,X1),sK0) )
| ~ spl18_2 ),
inference(resolution,[],[f268,f206]) ).
fof(f2757,plain,
( ~ spl18_98
| ~ spl18_103
| spl18_143
| ~ spl18_3
| ~ spl18_4
| ~ spl18_5
| ~ spl18_97 ),
inference(avatar_split_clause,[],[f2752,f2127,f231,f226,f221,f2755,f2179,f2131]) ).
fof(f2755,plain,
( spl18_143
<=> ! [X2,X0,X1] :
( ~ member(sK8(sK0,sK4,sK1),X2)
| ~ member(sK10(sK0,sK3,sK8(sK0,sK4,sK1)),X0)
| ~ member(sK8(sK0,sK4,sK1),X1)
| apply(compose_function(sK3,compose_function(sK4,sK3,sK1,sK0,sK1),X1,X2,X0),sK8(sK0,sK4,sK1),sK10(sK0,sK3,sK8(sK0,sK4,sK1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_143])]) ).
fof(f2752,plain,
( ! [X2,X0,X1] :
( ~ member(sK8(sK0,sK4,sK1),X2)
| ~ member(sK8(sK0,sK4,sK1),sK1)
| apply(compose_function(sK3,compose_function(sK4,sK3,sK1,sK0,sK1),X1,X2,X0),sK8(sK0,sK4,sK1),sK10(sK0,sK3,sK8(sK0,sK4,sK1)))
| ~ member(sK6(sK0,sK4,sK1),sK0)
| ~ member(sK8(sK0,sK4,sK1),X1)
| ~ member(sK10(sK0,sK3,sK8(sK0,sK4,sK1)),X0) )
| ~ spl18_3
| ~ spl18_4
| ~ spl18_5
| ~ spl18_97 ),
inference(superposition,[],[f930,f2129]) ).
fof(f930,plain,
( ! [X6,X7,X4,X5] :
( ~ member(sK10(sK1,sK4,X4),sK1)
| ~ member(sK10(sK0,sK3,sK10(sK1,sK4,X4)),X7)
| ~ member(X4,sK0)
| ~ member(sK10(sK1,sK4,X4),X6)
| apply(compose_function(sK3,compose_function(sK4,sK3,sK1,sK0,sK1),X6,X5,X7),sK10(sK1,sK4,X4),sK10(sK0,sK3,sK10(sK1,sK4,X4)))
| ~ member(sK10(sK1,sK4,X4),X5) )
| ~ spl18_3
| ~ spl18_4
| ~ spl18_5 ),
inference(resolution,[],[f323,f253]) ).
fof(f323,plain,
( ! [X3,X8,X6,X7,X4,X5] :
( ~ apply(X4,sK10(sK1,sK4,X3),X8)
| ~ member(sK10(sK1,sK4,X3),X6)
| ~ member(sK10(sK1,sK4,X3),X5)
| ~ member(X3,sK0)
| apply(compose_function(X4,compose_function(sK4,sK3,sK1,sK0,sK1),X5,X6,X7),sK10(sK1,sK4,X3),X8)
| ~ member(X8,X7) )
| ~ spl18_3
| ~ spl18_5 ),
inference(resolution,[],[f256,f203]) ).
fof(f2726,plain,
( ~ spl18_103
| spl18_142
| ~ spl18_2
| ~ spl18_6
| ~ spl18_133 ),
inference(avatar_split_clause,[],[f2696,f2617,f236,f216,f2724,f2179]) ).
fof(f2724,plain,
( spl18_142
<=> ! [X29,X30,X31] :
( ~ member(sK6(sK0,sK4,sK1),X29)
| apply(compose_function(compose_function(sK2,sK4,sK0,sK1,sK0),compose_function(sK2,sK4,sK0,sK1,sK0),X29,X30,X31),sK6(sK0,sK4,sK1),sK6(sK0,sK4,sK1))
| ~ member(sK6(sK0,sK4,sK1),X31)
| ~ member(sK6(sK0,sK4,sK1),X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_142])]) ).
fof(f2696,plain,
( ! [X31,X29,X30] :
( ~ member(sK6(sK0,sK4,sK1),X29)
| ~ member(sK6(sK0,sK4,sK1),X30)
| ~ member(sK6(sK0,sK4,sK1),X31)
| ~ member(sK8(sK0,sK4,sK1),sK1)
| apply(compose_function(compose_function(sK2,sK4,sK0,sK1,sK0),compose_function(sK2,sK4,sK0,sK1,sK0),X29,X30,X31),sK6(sK0,sK4,sK1),sK6(sK0,sK4,sK1)) )
| ~ spl18_2
| ~ spl18_6
| ~ spl18_133 ),
inference(superposition,[],[f952,f2619]) ).
fof(f952,plain,
( ! [X2,X3,X0,X1] :
( apply(compose_function(compose_function(sK2,sK4,sK0,sK1,sK0),compose_function(sK2,sK4,sK0,sK1,sK0),X3,X2,X1),sK10(sK0,sK2,X0),sK10(sK0,sK2,X0))
| ~ member(sK10(sK0,sK2,X0),X2)
| ~ member(X0,sK1)
| ~ member(sK10(sK0,sK2,X0),X3)
| ~ member(sK10(sK0,sK2,X0),X1) )
| ~ spl18_2
| ~ spl18_6 ),
inference(duplicate_literal_removal,[],[f946]) ).
fof(f946,plain,
( ! [X2,X3,X0,X1] :
( ~ member(sK10(sK0,sK2,X0),X3)
| ~ member(sK10(sK0,sK2,X0),X2)
| ~ member(X0,sK1)
| ~ member(sK10(sK0,sK2,X0),X1)
| ~ member(X0,sK1)
| apply(compose_function(compose_function(sK2,sK4,sK0,sK1,sK0),compose_function(sK2,sK4,sK0,sK1,sK0),X3,X2,X1),sK10(sK0,sK2,X0),sK10(sK0,sK2,X0)) )
| ~ spl18_2
| ~ spl18_6 ),
inference(resolution,[],[f336,f257]) ).
fof(f2720,plain,
( ~ spl18_103
| spl18_141
| ~ spl18_2
| ~ spl18_6
| ~ spl18_133 ),
inference(avatar_split_clause,[],[f2692,f2617,f236,f216,f2718,f2179]) ).
fof(f2718,plain,
( spl18_141
<=> ! [X27,X28,X26] :
( apply(compose_function(compose_function(sK2,sK4,sK0,sK1,sK0),sK2,X26,X27,X28),sK8(sK0,sK4,sK1),sK6(sK0,sK4,sK1))
| ~ member(sK6(sK0,sK4,sK1),X27)
| ~ member(sK6(sK0,sK4,sK1),X28)
| ~ member(sK8(sK0,sK4,sK1),X26) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_141])]) ).
fof(f2692,plain,
( ! [X28,X26,X27] :
( apply(compose_function(compose_function(sK2,sK4,sK0,sK1,sK0),sK2,X26,X27,X28),sK8(sK0,sK4,sK1),sK6(sK0,sK4,sK1))
| ~ member(sK8(sK0,sK4,sK1),X26)
| ~ member(sK8(sK0,sK4,sK1),sK1)
| ~ member(sK6(sK0,sK4,sK1),X28)
| ~ member(sK6(sK0,sK4,sK1),X27) )
| ~ spl18_2
| ~ spl18_6
| ~ spl18_133 ),
inference(superposition,[],[f452,f2619]) ).
fof(f452,plain,
( ! [X2,X3,X0,X1] :
( apply(compose_function(compose_function(sK2,sK4,sK0,sK1,sK0),sK2,X3,X1,X2),X0,sK10(sK0,sK2,X0))
| ~ member(X0,sK1)
| ~ member(sK10(sK0,sK2,X0),X2)
| ~ member(sK10(sK0,sK2,X0),X1)
| ~ member(X0,X3) )
| ~ spl18_2
| ~ spl18_6 ),
inference(duplicate_literal_removal,[],[f448]) ).
fof(f448,plain,
( ! [X2,X3,X0,X1] :
( apply(compose_function(compose_function(sK2,sK4,sK0,sK1,sK0),sK2,X3,X1,X2),X0,sK10(sK0,sK2,X0))
| ~ member(X0,X3)
| ~ member(X0,sK1)
| ~ member(sK10(sK0,sK2,X0),X1)
| ~ member(sK10(sK0,sK2,X0),X2)
| ~ member(X0,sK1) )
| ~ spl18_2
| ~ spl18_6 ),
inference(resolution,[],[f263,f257]) ).
fof(f263,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ apply(X1,sK10(sK0,sK2,X0),X5)
| ~ member(sK10(sK0,sK2,X0),X3)
| ~ member(X5,X4)
| ~ member(X0,sK1)
| apply(compose_function(X1,sK2,X2,X3,X4),X0,X5)
| ~ member(X0,X2) )
| ~ spl18_6 ),
inference(resolution,[],[f255,f203]) ).
fof(f2716,plain,
( ~ spl18_103
| ~ spl18_138
| spl18_140
| ~ spl18_6
| ~ spl18_133 ),
inference(avatar_split_clause,[],[f2691,f2617,f236,f2714,f2703,f2179]) ).
fof(f2703,plain,
( spl18_138
<=> member(sK6(sK0,sK4,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_138])]) ).
fof(f2714,plain,
( spl18_140
<=> ! [X25,X24,X23] :
( ~ member(sK10(sK0,sK2,sK6(sK0,sK4,sK1)),X25)
| ~ member(sK6(sK0,sK4,sK1),X24)
| apply(compose_function(sK2,sK2,X23,X24,X25),sK8(sK0,sK4,sK1),sK10(sK0,sK2,sK6(sK0,sK4,sK1)))
| ~ member(sK8(sK0,sK4,sK1),X23) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_140])]) ).
fof(f2691,plain,
( ! [X24,X25,X23] :
( ~ member(sK10(sK0,sK2,sK6(sK0,sK4,sK1)),X25)
| ~ member(sK6(sK0,sK4,sK1),sK1)
| ~ member(sK8(sK0,sK4,sK1),sK1)
| ~ member(sK6(sK0,sK4,sK1),X24)
| ~ member(sK8(sK0,sK4,sK1),X23)
| apply(compose_function(sK2,sK2,X23,X24,X25),sK8(sK0,sK4,sK1),sK10(sK0,sK2,sK6(sK0,sK4,sK1))) )
| ~ spl18_6
| ~ spl18_133 ),
inference(superposition,[],[f451,f2619]) ).
fof(f451,plain,
( ! [X14,X15,X12,X13] :
( ~ member(sK10(sK0,sK2,X12),sK1)
| apply(compose_function(sK2,sK2,X15,X13,X14),X12,sK10(sK0,sK2,sK10(sK0,sK2,X12)))
| ~ member(sK10(sK0,sK2,sK10(sK0,sK2,X12)),X14)
| ~ member(X12,X15)
| ~ member(X12,sK1)
| ~ member(sK10(sK0,sK2,X12),X13) )
| ~ spl18_6 ),
inference(resolution,[],[f263,f255]) ).
fof(f2709,plain,
( ~ spl18_138
| ~ spl18_103
| spl18_139
| ~ spl18_4
| ~ spl18_6
| ~ spl18_133 ),
inference(avatar_split_clause,[],[f2689,f2617,f236,f226,f2707,f2179,f2703]) ).
fof(f2707,plain,
( spl18_139
<=> ! [X18,X17,X19] :
( ~ member(sK10(sK0,sK3,sK6(sK0,sK4,sK1)),X19)
| ~ member(sK8(sK0,sK4,sK1),X18)
| apply(compose_function(sK3,sK2,X18,X17,X19),sK8(sK0,sK4,sK1),sK10(sK0,sK3,sK6(sK0,sK4,sK1)))
| ~ member(sK6(sK0,sK4,sK1),X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_139])]) ).
fof(f2689,plain,
( ! [X18,X19,X17] :
( ~ member(sK10(sK0,sK3,sK6(sK0,sK4,sK1)),X19)
| ~ member(sK8(sK0,sK4,sK1),sK1)
| ~ member(sK8(sK0,sK4,sK1),X18)
| ~ member(sK6(sK0,sK4,sK1),X17)
| ~ member(sK6(sK0,sK4,sK1),sK1)
| apply(compose_function(sK3,sK2,X18,X17,X19),sK8(sK0,sK4,sK1),sK10(sK0,sK3,sK6(sK0,sK4,sK1))) )
| ~ spl18_4
| ~ spl18_6
| ~ spl18_133 ),
inference(superposition,[],[f449,f2619]) ).
fof(f449,plain,
( ! [X6,X7,X4,X5] :
( ~ member(sK10(sK0,sK2,X4),sK1)
| ~ member(sK10(sK0,sK2,X4),X5)
| ~ member(X4,X7)
| ~ member(sK10(sK0,sK3,sK10(sK0,sK2,X4)),X6)
| ~ member(X4,sK1)
| apply(compose_function(sK3,sK2,X7,X5,X6),X4,sK10(sK0,sK3,sK10(sK0,sK2,X4))) )
| ~ spl18_4
| ~ spl18_6 ),
inference(resolution,[],[f263,f253]) ).
fof(f2701,plain,
( ~ spl18_103
| ~ spl18_98
| spl18_137
| ~ spl18_6
| ~ spl18_133 ),
inference(avatar_split_clause,[],[f2688,f2617,f236,f2699,f2131,f2179]) ).
fof(f2699,plain,
( spl18_137
<=> ! [X16] :
( ~ member(X16,sK0)
| sK6(sK0,sK4,sK1) = X16
| ~ apply(sK2,sK8(sK0,sK4,sK1),X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_137])]) ).
fof(f2688,plain,
( ! [X16] :
( ~ member(X16,sK0)
| ~ apply(sK2,sK8(sK0,sK4,sK1),X16)
| ~ member(sK6(sK0,sK4,sK1),sK0)
| sK6(sK0,sK4,sK1) = X16
| ~ member(sK8(sK0,sK4,sK1),sK1) )
| ~ spl18_6
| ~ spl18_133 ),
inference(superposition,[],[f424,f2619]) ).
fof(f2639,plain,
( spl18_134
| ~ spl18_112
| ~ spl18_133 ),
inference(avatar_split_clause,[],[f2638,f2617,f2353,f2622]) ).
fof(f2622,plain,
( spl18_134
<=> ! [X4,X5,X3] :
( apply(compose_function(sK2,sK4,X4,X3,X5),sK6(sK0,sK4,sK1),sK6(sK0,sK4,sK1))
| ~ member(sK8(sK0,sK4,sK1),X3)
| ~ member(sK6(sK0,sK4,sK1),X5)
| ~ member(sK6(sK0,sK4,sK1),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_134])]) ).
fof(f2353,plain,
( spl18_112
<=> ! [X18,X17,X19] :
( ~ member(sK10(sK0,sK2,sK8(sK0,sK4,sK1)),X19)
| ~ member(sK6(sK0,sK4,sK1),X17)
| apply(compose_function(sK2,sK4,X17,X18,X19),sK6(sK0,sK4,sK1),sK10(sK0,sK2,sK8(sK0,sK4,sK1)))
| ~ member(sK8(sK0,sK4,sK1),X18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_112])]) ).
fof(f2638,plain,
( ! [X18,X19,X17] :
( ~ member(sK6(sK0,sK4,sK1),X19)
| ~ member(sK8(sK0,sK4,sK1),X18)
| ~ member(sK6(sK0,sK4,sK1),X17)
| apply(compose_function(sK2,sK4,X17,X18,X19),sK6(sK0,sK4,sK1),sK6(sK0,sK4,sK1)) )
| ~ spl18_112
| ~ spl18_133 ),
inference(forward_demodulation,[],[f2637,f2619]) ).
fof(f2637,plain,
( ! [X18,X19,X17] :
( apply(compose_function(sK2,sK4,X17,X18,X19),sK6(sK0,sK4,sK1),sK10(sK0,sK2,sK8(sK0,sK4,sK1)))
| ~ member(sK6(sK0,sK4,sK1),X17)
| ~ member(sK6(sK0,sK4,sK1),X19)
| ~ member(sK8(sK0,sK4,sK1),X18) )
| ~ spl18_112
| ~ spl18_133 ),
inference(backward_demodulation,[],[f2354,f2619]) ).
fof(f2354,plain,
( ! [X18,X19,X17] :
( apply(compose_function(sK2,sK4,X17,X18,X19),sK6(sK0,sK4,sK1),sK10(sK0,sK2,sK8(sK0,sK4,sK1)))
| ~ member(sK8(sK0,sK4,sK1),X18)
| ~ member(sK10(sK0,sK2,sK8(sK0,sK4,sK1)),X19)
| ~ member(sK6(sK0,sK4,sK1),X17) )
| ~ spl18_112 ),
inference(avatar_component_clause,[],[f2353]) ).
fof(f2632,plain,
( spl18_58
| spl18_136
| ~ spl18_3
| ~ spl18_132 ),
inference(avatar_split_clause,[],[f2613,f2604,f221,f2630,f1346]) ).
fof(f2630,plain,
( spl18_136
<=> ! [X6,X8,X7] :
( apply(compose_function(sK2,compose_function(sK4,sK3,sK1,sK0,sK1),X6,X7,X8),sK8(sK0,sK4,sK1),sK6(sK0,sK4,sK1))
| ~ member(sK8(sK0,sK4,sK1),X7)
| ~ member(sK8(sK0,sK4,sK1),X6)
| ~ member(sK6(sK0,sK4,sK1),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_136])]) ).
fof(f2604,plain,
( spl18_132
<=> apply(sK2,sK8(sK0,sK4,sK1),sK6(sK0,sK4,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_132])]) ).
fof(f2613,plain,
( ! [X8,X6,X7] :
( apply(compose_function(sK2,compose_function(sK4,sK3,sK1,sK0,sK1),X6,X7,X8),sK8(sK0,sK4,sK1),sK6(sK0,sK4,sK1))
| injective(sK4,sK0,sK1)
| ~ member(sK6(sK0,sK4,sK1),X8)
| ~ member(sK8(sK0,sK4,sK1),X6)
| ~ member(sK8(sK0,sK4,sK1),X7) )
| ~ spl18_3
| ~ spl18_132 ),
inference(resolution,[],[f2606,f384]) ).
fof(f2606,plain,
( apply(sK2,sK8(sK0,sK4,sK1),sK6(sK0,sK4,sK1))
| ~ spl18_132 ),
inference(avatar_component_clause,[],[f2604]) ).
fof(f2628,plain,
( spl18_58
| spl18_135
| ~ spl18_132 ),
inference(avatar_split_clause,[],[f2611,f2604,f2626,f1346]) ).
fof(f2626,plain,
( spl18_135
<=> ! [X2,X0,X1] :
( apply(compose_function(sK2,sK4,X0,X1,X2),sK7(sK0,sK4,sK1),sK6(sK0,sK4,sK1))
| ~ member(sK8(sK0,sK4,sK1),X1)
| ~ member(sK7(sK0,sK4,sK1),X0)
| ~ member(sK6(sK0,sK4,sK1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_135])]) ).
fof(f2611,plain,
( ! [X2,X0,X1] :
( apply(compose_function(sK2,sK4,X0,X1,X2),sK7(sK0,sK4,sK1),sK6(sK0,sK4,sK1))
| ~ member(sK6(sK0,sK4,sK1),X2)
| ~ member(sK7(sK0,sK4,sK1),X0)
| ~ member(sK8(sK0,sK4,sK1),X1)
| injective(sK4,sK0,sK1) )
| ~ spl18_132 ),
inference(resolution,[],[f2606,f331]) ).
fof(f2624,plain,
( spl18_58
| spl18_134
| ~ spl18_132 ),
inference(avatar_split_clause,[],[f2612,f2604,f2622,f1346]) ).
fof(f2612,plain,
( ! [X3,X4,X5] :
( apply(compose_function(sK2,sK4,X4,X3,X5),sK6(sK0,sK4,sK1),sK6(sK0,sK4,sK1))
| ~ member(sK6(sK0,sK4,sK1),X4)
| ~ member(sK6(sK0,sK4,sK1),X5)
| injective(sK4,sK0,sK1)
| ~ member(sK8(sK0,sK4,sK1),X3) )
| ~ spl18_132 ),
inference(resolution,[],[f2606,f318]) ).
fof(f2620,plain,
( ~ spl18_98
| ~ spl18_103
| spl18_133
| ~ spl18_6
| ~ spl18_132 ),
inference(avatar_split_clause,[],[f2610,f2604,f236,f2617,f2179,f2131]) ).
fof(f2610,plain,
( sK10(sK0,sK2,sK8(sK0,sK4,sK1)) = sK6(sK0,sK4,sK1)
| ~ member(sK8(sK0,sK4,sK1),sK1)
| ~ member(sK6(sK0,sK4,sK1),sK0)
| ~ spl18_6
| ~ spl18_132 ),
inference(resolution,[],[f2606,f599]) ).
fof(f2607,plain,
( spl18_132
| ~ spl18_98
| ~ spl18_101
| ~ spl18_102 ),
inference(avatar_split_clause,[],[f2602,f2171,f2144,f2131,f2604]) ).
fof(f2144,plain,
( spl18_101
<=> sK8(sK0,sK4,sK1) = sK17(sK4,sK2,sK6(sK0,sK4,sK1),sK6(sK0,sK4,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_101])]) ).
fof(f2171,plain,
( spl18_102
<=> apply(compose_function(sK2,sK4,sK0,sK1,sK0),sK6(sK0,sK4,sK1),sK6(sK0,sK4,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_102])]) ).
fof(f2602,plain,
( ~ member(sK6(sK0,sK4,sK1),sK0)
| apply(sK2,sK8(sK0,sK4,sK1),sK6(sK0,sK4,sK1))
| ~ spl18_101
| ~ spl18_102 ),
inference(forward_demodulation,[],[f2601,f2146]) ).
fof(f2146,plain,
( sK8(sK0,sK4,sK1) = sK17(sK4,sK2,sK6(sK0,sK4,sK1),sK6(sK0,sK4,sK1),sK1)
| ~ spl18_101 ),
inference(avatar_component_clause,[],[f2144]) ).
fof(f2601,plain,
( apply(sK2,sK17(sK4,sK2,sK6(sK0,sK4,sK1),sK6(sK0,sK4,sK1),sK1),sK6(sK0,sK4,sK1))
| ~ member(sK6(sK0,sK4,sK1),sK0)
| ~ spl18_102 ),
inference(duplicate_literal_removal,[],[f2593]) ).
fof(f2593,plain,
( apply(sK2,sK17(sK4,sK2,sK6(sK0,sK4,sK1),sK6(sK0,sK4,sK1),sK1),sK6(sK0,sK4,sK1))
| ~ member(sK6(sK0,sK4,sK1),sK0)
| ~ member(sK6(sK0,sK4,sK1),sK0)
| ~ spl18_102 ),
inference(resolution,[],[f2173,f205]) ).
fof(f2173,plain,
( apply(compose_function(sK2,sK4,sK0,sK1,sK0),sK6(sK0,sK4,sK1),sK6(sK0,sK4,sK1))
| ~ spl18_102 ),
inference(avatar_component_clause,[],[f2171]) ).
fof(f2529,plain,
( spl18_58
| ~ spl18_2
| spl18_100 ),
inference(avatar_split_clause,[],[f2528,f2140,f216,f1346]) ).
fof(f2140,plain,
( spl18_100
<=> member(sK17(sK4,sK2,sK6(sK0,sK4,sK1),sK6(sK0,sK4,sK1),sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_100])]) ).
fof(f2528,plain,
( injective(sK4,sK0,sK1)
| ~ spl18_2
| spl18_100 ),
inference(resolution,[],[f2142,f646]) ).
fof(f646,plain,
( ! [X0,X1] :
( member(sK17(sK4,sK2,sK6(sK0,X0,X1),sK6(sK0,X0,X1),sK1),sK1)
| injective(X0,sK0,X1) )
| ~ spl18_2 ),
inference(duplicate_literal_removal,[],[f645]) ).
fof(f645,plain,
( ! [X0,X1] :
( injective(X0,sK0,X1)
| member(sK17(sK4,sK2,sK6(sK0,X0,X1),sK6(sK0,X0,X1),sK1),sK1)
| injective(X0,sK0,X1) )
| ~ spl18_2 ),
inference(resolution,[],[f363,f157]) ).
fof(f157,plain,
! [X2,X0,X1] :
( member(sK6(X0,X1,X2),X0)
| injective(X1,X0,X2) ),
inference(cnf_transformation,[],[f91]) ).
fof(f363,plain,
( ! [X4,X5] :
( ~ member(sK6(sK0,X4,X5),sK0)
| member(sK17(sK4,sK2,sK6(sK0,X4,X5),sK6(sK0,X4,X5),sK1),sK1)
| injective(X4,sK0,X5) )
| ~ spl18_2 ),
inference(duplicate_literal_removal,[],[f359]) ).
fof(f359,plain,
( ! [X4,X5] :
( member(sK17(sK4,sK2,sK6(sK0,X4,X5),sK6(sK0,X4,X5),sK1),sK1)
| injective(X4,sK0,X5)
| ~ member(sK6(sK0,X4,X5),sK0)
| ~ member(sK6(sK0,X4,X5),sK0) )
| ~ spl18_2 ),
inference(resolution,[],[f289,f204]) ).
fof(f289,plain,
( ! [X8,X9] :
( apply(compose_function(sK2,sK4,sK0,sK1,sK0),sK6(sK0,X8,X9),sK6(sK0,X8,X9))
| injective(X8,sK0,X9) )
| ~ spl18_2 ),
inference(resolution,[],[f157,f240]) ).
fof(f2142,plain,
( ~ member(sK17(sK4,sK2,sK6(sK0,sK4,sK1),sK6(sK0,sK4,sK1),sK1),sK1)
| spl18_100 ),
inference(avatar_component_clause,[],[f2140]) ).
fof(f2515,plain,
( ~ spl18_103
| ~ spl18_4
| spl18_115 ),
inference(avatar_split_clause,[],[f2514,f2365,f226,f2179]) ).
fof(f2365,plain,
( spl18_115
<=> member(sK10(sK0,sK3,sK8(sK0,sK4,sK1)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_115])]) ).
fof(f2514,plain,
( ~ member(sK8(sK0,sK4,sK1),sK1)
| ~ spl18_4
| spl18_115 ),
inference(resolution,[],[f2367,f249]) ).
fof(f2367,plain,
( ~ member(sK10(sK0,sK3,sK8(sK0,sK4,sK1)),sK0)
| spl18_115 ),
inference(avatar_component_clause,[],[f2365]) ).
fof(f2482,plain,
( spl18_58
| ~ spl18_117 ),
inference(avatar_split_clause,[],[f2456,f2374,f1346]) ).
fof(f2374,plain,
( spl18_117
<=> ! [X28] : ~ member(sK6(sK0,sK4,sK1),X28) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_117])]) ).
fof(f2456,plain,
( injective(sK4,sK0,sK1)
| ~ spl18_117 ),
inference(resolution,[],[f2375,f157]) ).
fof(f2375,plain,
( ! [X28] : ~ member(sK6(sK0,sK4,sK1),X28)
| ~ spl18_117 ),
inference(avatar_component_clause,[],[f2374]) ).
fof(f2481,plain,
~ spl18_117,
inference(avatar_contradiction_clause,[],[f2462]) ).
fof(f2462,plain,
( $false
| ~ spl18_117 ),
inference(resolution,[],[f2375,f838]) ).
fof(f2480,plain,
( ~ spl18_98
| ~ spl18_117 ),
inference(avatar_contradiction_clause,[],[f2457]) ).
fof(f2457,plain,
( $false
| ~ spl18_98
| ~ spl18_117 ),
inference(resolution,[],[f2375,f2132]) ).
fof(f2132,plain,
( member(sK6(sK0,sK4,sK1),sK0)
| ~ spl18_98 ),
inference(avatar_component_clause,[],[f2131]) ).
fof(f2479,plain,
~ spl18_117,
inference(avatar_contradiction_clause,[],[f2463]) ).
fof(f2463,plain,
( $false
| ~ spl18_117 ),
inference(resolution,[],[f2375,f959]) ).
fof(f2478,plain,
~ spl18_117,
inference(avatar_contradiction_clause,[],[f2469]) ).
fof(f2469,plain,
( $false
| ~ spl18_117 ),
inference(resolution,[],[f2375,f538]) ).
fof(f2477,plain,
~ spl18_117,
inference(avatar_contradiction_clause,[],[f2461]) ).
fof(f2461,plain,
( $false
| ~ spl18_117 ),
inference(resolution,[],[f2375,f757]) ).
fof(f2476,plain,
~ spl18_117,
inference(avatar_contradiction_clause,[],[f2467]) ).
fof(f2467,plain,
( $false
| ~ spl18_117 ),
inference(resolution,[],[f2375,f207]) ).
fof(f2475,plain,
~ spl18_117,
inference(avatar_contradiction_clause,[],[f2468]) ).
fof(f2468,plain,
( $false
| ~ spl18_117 ),
inference(resolution,[],[f2375,f208]) ).
fof(f2474,plain,
~ spl18_117,
inference(avatar_contradiction_clause,[],[f2460]) ).
fof(f2460,plain,
( $false
| ~ spl18_117 ),
inference(resolution,[],[f2375,f673]) ).
fof(f2473,plain,
~ spl18_117,
inference(avatar_contradiction_clause,[],[f2466]) ).
fof(f2466,plain,
( $false
| ~ spl18_117 ),
inference(resolution,[],[f2375,f209]) ).
fof(f2472,plain,
~ spl18_117,
inference(avatar_contradiction_clause,[],[f2458]) ).
fof(f2458,plain,
( $false
| ~ spl18_117 ),
inference(resolution,[],[f2375,f412]) ).
fof(f2471,plain,
~ spl18_117,
inference(avatar_contradiction_clause,[],[f2459]) ).
fof(f2459,plain,
( $false
| ~ spl18_117 ),
inference(resolution,[],[f2375,f563]) ).
fof(f2441,plain,
( spl18_131
| ~ spl18_98
| ~ spl18_3
| ~ spl18_5
| ~ spl18_97 ),
inference(avatar_split_clause,[],[f2344,f2127,f231,f221,f2131,f2439]) ).
fof(f2439,plain,
( spl18_131
<=> ! [X34,X32,X33] :
( ~ member(sK8(sK0,sK4,sK1),X33)
| ~ member(sK8(sK0,sK4,sK1),X32)
| ~ member(sK8(sK0,sK4,sK1),X34)
| apply(compose_function(compose_function(sK4,sK3,sK1,sK0,sK1),compose_function(sK4,sK3,sK1,sK0,sK1),X32,X33,X34),sK8(sK0,sK4,sK1),sK8(sK0,sK4,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_131])]) ).
fof(f2344,plain,
( ! [X34,X32,X33] :
( ~ member(sK6(sK0,sK4,sK1),sK0)
| ~ member(sK8(sK0,sK4,sK1),X33)
| apply(compose_function(compose_function(sK4,sK3,sK1,sK0,sK1),compose_function(sK4,sK3,sK1,sK0,sK1),X32,X33,X34),sK8(sK0,sK4,sK1),sK8(sK0,sK4,sK1))
| ~ member(sK8(sK0,sK4,sK1),X34)
| ~ member(sK8(sK0,sK4,sK1),X32) )
| ~ spl18_3
| ~ spl18_5
| ~ spl18_97 ),
inference(superposition,[],[f935,f2129]) ).
fof(f935,plain,
( ! [X2,X3,X0,X1] :
( apply(compose_function(compose_function(sK4,sK3,sK1,sK0,sK1),compose_function(sK4,sK3,sK1,sK0,sK1),X2,X1,X3),sK10(sK1,sK4,X0),sK10(sK1,sK4,X0))
| ~ member(sK10(sK1,sK4,X0),X3)
| ~ member(sK10(sK1,sK4,X0),X1)
| ~ member(X0,sK0)
| ~ member(sK10(sK1,sK4,X0),X2) )
| ~ spl18_3
| ~ spl18_5 ),
inference(duplicate_literal_removal,[],[f929]) ).
fof(f929,plain,
( ! [X2,X3,X0,X1] :
( ~ member(sK10(sK1,sK4,X0),X3)
| apply(compose_function(compose_function(sK4,sK3,sK1,sK0,sK1),compose_function(sK4,sK3,sK1,sK0,sK1),X2,X1,X3),sK10(sK1,sK4,X0),sK10(sK1,sK4,X0))
| ~ member(sK10(sK1,sK4,X0),X2)
| ~ member(X0,sK0)
| ~ member(sK10(sK1,sK4,X0),X1)
| ~ member(X0,sK0) )
| ~ spl18_3
| ~ spl18_5 ),
inference(resolution,[],[f323,f256]) ).
fof(f2437,plain,
( spl18_130
| ~ spl18_103
| ~ spl18_98
| ~ spl18_2
| ~ spl18_3
| ~ spl18_5
| ~ spl18_97 ),
inference(avatar_split_clause,[],[f2335,f2127,f231,f221,f216,f2131,f2179,f2434]) ).
fof(f2434,plain,
( spl18_130
<=> apply(compose_function(sK2,sK4,sK0,sK1,sK0),sK17(sK3,sK4,sK8(sK0,sK4,sK1),sK8(sK0,sK4,sK1),sK0),sK17(sK3,sK4,sK8(sK0,sK4,sK1),sK8(sK0,sK4,sK1),sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_130])]) ).
fof(f2335,plain,
( ~ member(sK6(sK0,sK4,sK1),sK0)
| ~ member(sK8(sK0,sK4,sK1),sK1)
| apply(compose_function(sK2,sK4,sK0,sK1,sK0),sK17(sK3,sK4,sK8(sK0,sK4,sK1),sK8(sK0,sK4,sK1),sK0),sK17(sK3,sK4,sK8(sK0,sK4,sK1),sK8(sK0,sK4,sK1),sK0))
| ~ spl18_2
| ~ spl18_3
| ~ spl18_5
| ~ spl18_97 ),
inference(superposition,[],[f600,f2129]) ).
fof(f600,plain,
( ! [X0] :
( ~ member(sK10(sK1,sK4,X0),sK1)
| apply(compose_function(sK2,sK4,sK0,sK1,sK0),sK17(sK3,sK4,sK10(sK1,sK4,X0),sK10(sK1,sK4,X0),sK0),sK17(sK3,sK4,sK10(sK1,sK4,X0),sK10(sK1,sK4,X0),sK0))
| ~ member(X0,sK0) )
| ~ spl18_2
| ~ spl18_3
| ~ spl18_5 ),
inference(resolution,[],[f325,f240]) ).
fof(f325,plain,
( ! [X2] :
( member(sK17(sK3,sK4,sK10(sK1,sK4,X2),sK10(sK1,sK4,X2),sK0),sK0)
| ~ member(X2,sK0)
| ~ member(sK10(sK1,sK4,X2),sK1) )
| ~ spl18_3
| ~ spl18_5 ),
inference(duplicate_literal_removal,[],[f322]) ).
fof(f322,plain,
( ! [X2] :
( ~ member(X2,sK0)
| member(sK17(sK3,sK4,sK10(sK1,sK4,X2),sK10(sK1,sK4,X2),sK0),sK0)
| ~ member(sK10(sK1,sK4,X2),sK1)
| ~ member(sK10(sK1,sK4,X2),sK1) )
| ~ spl18_3
| ~ spl18_5 ),
inference(resolution,[],[f256,f204]) ).
fof(f2432,plain,
( ~ spl18_98
| spl18_112
| ~ spl18_5
| ~ spl18_6
| ~ spl18_97 ),
inference(avatar_split_clause,[],[f2346,f2127,f236,f231,f2353,f2131]) ).
fof(f2346,plain,
( ! [X40,X38,X39] :
( ~ member(sK10(sK0,sK2,sK8(sK0,sK4,sK1)),X40)
| apply(compose_function(sK2,sK4,X39,X38,X40),sK6(sK0,sK4,sK1),sK10(sK0,sK2,sK8(sK0,sK4,sK1)))
| ~ member(sK6(sK0,sK4,sK1),sK0)
| ~ member(sK8(sK0,sK4,sK1),X38)
| ~ member(sK6(sK0,sK4,sK1),X39) )
| ~ spl18_5
| ~ spl18_6
| ~ spl18_97 ),
inference(superposition,[],[f958,f2129]) ).
fof(f958,plain,
( ! [X2,X3,X0,X1] :
( ~ member(sK10(sK1,sK4,X3),X1)
| ~ member(X3,sK0)
| ~ member(X3,X0)
| apply(compose_function(sK2,sK4,X0,X1,X2),X3,sK10(sK0,sK2,sK10(sK1,sK4,X3)))
| ~ member(sK10(sK0,sK2,sK10(sK1,sK4,X3)),X2) )
| ~ spl18_5
| ~ spl18_6 ),
inference(duplicate_literal_removal,[],[f957]) ).
fof(f957,plain,
( ! [X2,X3,X0,X1] :
( apply(compose_function(sK2,sK4,X0,X1,X2),X3,sK10(sK0,sK2,sK10(sK1,sK4,X3)))
| ~ member(X3,sK0)
| ~ member(X3,sK0)
| ~ member(sK10(sK1,sK4,X3),X1)
| ~ member(sK10(sK0,sK2,sK10(sK1,sK4,X3)),X2)
| ~ member(X3,X0) )
| ~ spl18_5
| ~ spl18_6 ),
inference(resolution,[],[f446,f250]) ).
fof(f446,plain,
( ! [X14,X15,X12,X13] :
( ~ member(sK10(sK1,sK4,X12),sK1)
| apply(compose_function(sK2,sK4,X13,X14,X15),X12,sK10(sK0,sK2,sK10(sK1,sK4,X12)))
| ~ member(X12,X13)
| ~ member(X12,sK0)
| ~ member(sK10(sK0,sK2,sK10(sK1,sK4,X12)),X15)
| ~ member(sK10(sK1,sK4,X12),X14) )
| ~ spl18_5
| ~ spl18_6 ),
inference(resolution,[],[f261,f255]) ).
fof(f2431,plain,
( ~ spl18_98
| spl18_129
| ~ spl18_3
| ~ spl18_5
| ~ spl18_97 ),
inference(avatar_split_clause,[],[f2334,f2127,f231,f221,f2429,f2131]) ).
fof(f2429,plain,
( spl18_129
<=> ! [X22,X20,X21] :
( ~ member(sK8(sK0,sK4,sK1),X22)
| ~ member(sK6(sK0,sK4,sK1),X20)
| apply(compose_function(compose_function(sK4,sK3,sK1,sK0,sK1),sK4,X20,X21,X22),sK6(sK0,sK4,sK1),sK8(sK0,sK4,sK1))
| ~ member(sK8(sK0,sK4,sK1),X21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_129])]) ).
fof(f2334,plain,
( ! [X21,X22,X20] :
( ~ member(sK8(sK0,sK4,sK1),X22)
| ~ member(sK8(sK0,sK4,sK1),X21)
| apply(compose_function(compose_function(sK4,sK3,sK1,sK0,sK1),sK4,X20,X21,X22),sK6(sK0,sK4,sK1),sK8(sK0,sK4,sK1))
| ~ member(sK6(sK0,sK4,sK1),sK0)
| ~ member(sK6(sK0,sK4,sK1),X20) )
| ~ spl18_3
| ~ spl18_5
| ~ spl18_97 ),
inference(superposition,[],[f447,f2129]) ).
fof(f2427,plain,
( spl18_128
| ~ spl18_98
| ~ spl18_3
| ~ spl18_5
| ~ spl18_97 ),
inference(avatar_split_clause,[],[f2326,f2127,f231,f221,f2131,f2425]) ).
fof(f2425,plain,
( spl18_128
<=> ! [X5,X9,X7,X6,X8] :
( ~ member(X6,X9)
| ~ member(sK8(sK0,sK4,sK1),X7)
| ~ apply(X5,sK8(sK0,sK4,sK1),X6)
| ~ member(sK8(sK0,sK4,sK1),X8)
| apply(compose_function(X5,compose_function(sK4,sK3,sK1,sK0,sK1),X8,X7,X9),sK8(sK0,sK4,sK1),X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_128])]) ).
fof(f2326,plain,
( ! [X8,X6,X9,X7,X5] :
( ~ member(sK6(sK0,sK4,sK1),sK0)
| ~ member(X6,X9)
| apply(compose_function(X5,compose_function(sK4,sK3,sK1,sK0,sK1),X8,X7,X9),sK8(sK0,sK4,sK1),X6)
| ~ member(sK8(sK0,sK4,sK1),X8)
| ~ apply(X5,sK8(sK0,sK4,sK1),X6)
| ~ member(sK8(sK0,sK4,sK1),X7) )
| ~ spl18_3
| ~ spl18_5
| ~ spl18_97 ),
inference(superposition,[],[f323,f2129]) ).
fof(f2423,plain,
( ~ spl18_115
| spl18_127
| ~ spl18_98
| ~ spl18_2
| ~ spl18_4
| ~ spl18_5
| ~ spl18_97 ),
inference(avatar_split_clause,[],[f2337,f2127,f231,f226,f216,f2131,f2420,f2365]) ).
fof(f2420,plain,
( spl18_127
<=> member(sK17(sK4,sK2,sK10(sK0,sK3,sK8(sK0,sK4,sK1)),sK10(sK0,sK3,sK8(sK0,sK4,sK1)),sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_127])]) ).
fof(f2337,plain,
( ~ member(sK6(sK0,sK4,sK1),sK0)
| member(sK17(sK4,sK2,sK10(sK0,sK3,sK8(sK0,sK4,sK1)),sK10(sK0,sK3,sK8(sK0,sK4,sK1)),sK1),sK1)
| ~ member(sK10(sK0,sK3,sK8(sK0,sK4,sK1)),sK0)
| ~ spl18_2
| ~ spl18_4
| ~ spl18_5
| ~ spl18_97 ),
inference(superposition,[],[f610,f2129]) ).
fof(f610,plain,
( ! [X2] :
( ~ member(sK10(sK0,sK3,sK10(sK1,sK4,X2)),sK0)
| member(sK17(sK4,sK2,sK10(sK0,sK3,sK10(sK1,sK4,X2)),sK10(sK0,sK3,sK10(sK1,sK4,X2)),sK1),sK1)
| ~ member(X2,sK0) )
| ~ spl18_2
| ~ spl18_4
| ~ spl18_5 ),
inference(duplicate_literal_removal,[],[f605]) ).
fof(f605,plain,
( ! [X2] :
( ~ member(X2,sK0)
| ~ member(sK10(sK0,sK3,sK10(sK1,sK4,X2)),sK0)
| member(sK17(sK4,sK2,sK10(sK0,sK3,sK10(sK1,sK4,X2)),sK10(sK0,sK3,sK10(sK1,sK4,X2)),sK1),sK1)
| ~ member(sK10(sK0,sK3,sK10(sK1,sK4,X2)),sK0) )
| ~ spl18_2
| ~ spl18_4
| ~ spl18_5 ),
inference(resolution,[],[f294,f204]) ).
fof(f2418,plain,
( spl18_126
| ~ spl18_98
| ~ spl18_115
| ~ spl18_2
| ~ spl18_4
| ~ spl18_5
| ~ spl18_97 ),
inference(avatar_split_clause,[],[f2336,f2127,f231,f226,f216,f2365,f2131,f2415]) ).
fof(f2415,plain,
( spl18_126
<=> apply(sK4,sK10(sK0,sK3,sK8(sK0,sK4,sK1)),sK17(sK4,sK2,sK10(sK0,sK3,sK8(sK0,sK4,sK1)),sK10(sK0,sK3,sK8(sK0,sK4,sK1)),sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_126])]) ).
fof(f2336,plain,
( ~ member(sK10(sK0,sK3,sK8(sK0,sK4,sK1)),sK0)
| ~ member(sK6(sK0,sK4,sK1),sK0)
| apply(sK4,sK10(sK0,sK3,sK8(sK0,sK4,sK1)),sK17(sK4,sK2,sK10(sK0,sK3,sK8(sK0,sK4,sK1)),sK10(sK0,sK3,sK8(sK0,sK4,sK1)),sK1))
| ~ spl18_2
| ~ spl18_4
| ~ spl18_5
| ~ spl18_97 ),
inference(superposition,[],[f609,f2129]) ).
fof(f609,plain,
( ! [X0] :
( ~ member(sK10(sK0,sK3,sK10(sK1,sK4,X0)),sK0)
| apply(sK4,sK10(sK0,sK3,sK10(sK1,sK4,X0)),sK17(sK4,sK2,sK10(sK0,sK3,sK10(sK1,sK4,X0)),sK10(sK0,sK3,sK10(sK1,sK4,X0)),sK1))
| ~ member(X0,sK0) )
| ~ spl18_2
| ~ spl18_4
| ~ spl18_5 ),
inference(duplicate_literal_removal,[],[f603]) ).
fof(f603,plain,
( ! [X0] :
( ~ member(sK10(sK0,sK3,sK10(sK1,sK4,X0)),sK0)
| apply(sK4,sK10(sK0,sK3,sK10(sK1,sK4,X0)),sK17(sK4,sK2,sK10(sK0,sK3,sK10(sK1,sK4,X0)),sK10(sK0,sK3,sK10(sK1,sK4,X0)),sK1))
| ~ member(sK10(sK0,sK3,sK10(sK1,sK4,X0)),sK0)
| ~ member(X0,sK0) )
| ~ spl18_2
| ~ spl18_4
| ~ spl18_5 ),
inference(resolution,[],[f294,f206]) ).
fof(f2413,plain,
( spl18_119
| ~ spl18_98
| ~ spl18_103
| ~ spl18_3
| ~ spl18_5
| ~ spl18_97 ),
inference(avatar_split_clause,[],[f2329,f2127,f231,f221,f2179,f2131,f2381]) ).
fof(f2381,plain,
( spl18_119
<=> apply(sK4,sK17(sK3,sK4,sK8(sK0,sK4,sK1),sK8(sK0,sK4,sK1),sK0),sK8(sK0,sK4,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_119])]) ).
fof(f2329,plain,
( ~ member(sK8(sK0,sK4,sK1),sK1)
| ~ member(sK6(sK0,sK4,sK1),sK0)
| apply(sK4,sK17(sK3,sK4,sK8(sK0,sK4,sK1),sK8(sK0,sK4,sK1),sK0),sK8(sK0,sK4,sK1))
| ~ spl18_3
| ~ spl18_5
| ~ spl18_97 ),
inference(superposition,[],[f327,f2129]) ).
fof(f327,plain,
( ! [X1] :
( ~ member(sK10(sK1,sK4,X1),sK1)
| ~ member(X1,sK0)
| apply(sK4,sK17(sK3,sK4,sK10(sK1,sK4,X1),sK10(sK1,sK4,X1),sK0),sK10(sK1,sK4,X1)) )
| ~ spl18_3
| ~ spl18_5 ),
inference(duplicate_literal_removal,[],[f321]) ).
fof(f321,plain,
( ! [X1] :
( ~ member(sK10(sK1,sK4,X1),sK1)
| ~ member(X1,sK0)
| apply(sK4,sK17(sK3,sK4,sK10(sK1,sK4,X1),sK10(sK1,sK4,X1),sK0),sK10(sK1,sK4,X1))
| ~ member(sK10(sK1,sK4,X1),sK1) )
| ~ spl18_3
| ~ spl18_5 ),
inference(resolution,[],[f256,f205]) ).
fof(f2412,plain,
( spl18_117
| spl18_125
| ~ spl18_98
| spl18_105
| ~ spl18_3
| ~ spl18_5
| ~ spl18_97 ),
inference(avatar_split_clause,[],[f2341,f2127,f231,f221,f2209,f2131,f2410,f2374]) ).
fof(f2410,plain,
( spl18_125
<=> ! [X23] :
( ~ member(sK8(sK0,sK4,sK1),X23)
| apply(compose_function(sK4,sK3,sK1,sK0,sK1),sK17(sK4,compose_function(sK4,sK3,sK1,sK0,sK1),sK8(sK0,sK4,sK1),sK6(sK0,sK4,sK1),X23),sK8(sK0,sK4,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_125])]) ).
fof(f2341,plain,
( ! [X24,X25,X23] :
( ~ member(sK8(sK0,sK4,sK1),X25)
| ~ member(sK6(sK0,sK4,sK1),sK0)
| ~ member(sK8(sK0,sK4,sK1),X23)
| ~ member(sK6(sK0,sK4,sK1),X24)
| apply(compose_function(sK4,sK3,sK1,sK0,sK1),sK17(sK4,compose_function(sK4,sK3,sK1,sK0,sK1),sK8(sK0,sK4,sK1),sK6(sK0,sK4,sK1),X23),sK8(sK0,sK4,sK1)) )
| ~ spl18_3
| ~ spl18_5
| ~ spl18_97 ),
inference(superposition,[],[f883,f2129]) ).
fof(f2408,plain,
( ~ spl18_98
| spl18_124
| ~ spl18_103
| ~ spl18_3
| ~ spl18_5
| ~ spl18_97 ),
inference(avatar_split_clause,[],[f2328,f2127,f231,f221,f2179,f2404,f2131]) ).
fof(f2404,plain,
( spl18_124
<=> apply(sK3,sK8(sK0,sK4,sK1),sK17(sK3,sK4,sK8(sK0,sK4,sK1),sK8(sK0,sK4,sK1),sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_124])]) ).
fof(f2328,plain,
( ~ member(sK8(sK0,sK4,sK1),sK1)
| apply(sK3,sK8(sK0,sK4,sK1),sK17(sK3,sK4,sK8(sK0,sK4,sK1),sK8(sK0,sK4,sK1),sK0))
| ~ member(sK6(sK0,sK4,sK1),sK0)
| ~ spl18_3
| ~ spl18_5
| ~ spl18_97 ),
inference(superposition,[],[f326,f2129]) ).
fof(f326,plain,
( ! [X0] :
( ~ member(sK10(sK1,sK4,X0),sK1)
| apply(sK3,sK10(sK1,sK4,X0),sK17(sK3,sK4,sK10(sK1,sK4,X0),sK10(sK1,sK4,X0),sK0))
| ~ member(X0,sK0) )
| ~ spl18_3
| ~ spl18_5 ),
inference(duplicate_literal_removal,[],[f320]) ).
fof(f320,plain,
( ! [X0] :
( ~ member(X0,sK0)
| apply(sK3,sK10(sK1,sK4,X0),sK17(sK3,sK4,sK10(sK1,sK4,X0),sK10(sK1,sK4,X0),sK0))
| ~ member(sK10(sK1,sK4,X0),sK1)
| ~ member(sK10(sK1,sK4,X0),sK1) )
| ~ spl18_3
| ~ spl18_5 ),
inference(resolution,[],[f256,f206]) ).
fof(f2407,plain,
( spl18_124
| ~ spl18_98
| ~ spl18_3
| ~ spl18_5
| ~ spl18_97 ),
inference(avatar_split_clause,[],[f2339,f2127,f231,f221,f2131,f2404]) ).
fof(f2339,plain,
( ~ member(sK6(sK0,sK4,sK1),sK0)
| apply(sK3,sK8(sK0,sK4,sK1),sK17(sK3,sK4,sK8(sK0,sK4,sK1),sK8(sK0,sK4,sK1),sK0))
| ~ spl18_3
| ~ spl18_5
| ~ spl18_97 ),
inference(superposition,[],[f732,f2129]) ).
fof(f732,plain,
( ! [X0] :
( apply(sK3,sK10(sK1,sK4,X0),sK17(sK3,sK4,sK10(sK1,sK4,X0),sK10(sK1,sK4,X0),sK0))
| ~ member(X0,sK0) )
| ~ spl18_3
| ~ spl18_5 ),
inference(duplicate_literal_removal,[],[f731]) ).
fof(f731,plain,
( ! [X0] :
( ~ member(X0,sK0)
| apply(sK3,sK10(sK1,sK4,X0),sK17(sK3,sK4,sK10(sK1,sK4,X0),sK10(sK1,sK4,X0),sK0))
| ~ member(X0,sK0) )
| ~ spl18_3
| ~ spl18_5 ),
inference(resolution,[],[f326,f250]) ).
fof(f2402,plain,
( spl18_117
| spl18_105
| spl18_123
| ~ spl18_98
| ~ spl18_3
| ~ spl18_5
| ~ spl18_97 ),
inference(avatar_split_clause,[],[f2343,f2127,f231,f221,f2131,f2400,f2209,f2374]) ).
fof(f2400,plain,
( spl18_123
<=> ! [X31] :
( ~ member(sK8(sK0,sK4,sK1),X31)
| apply(sK4,sK6(sK0,sK4,sK1),sK17(sK4,compose_function(sK4,sK3,sK1,sK0,sK1),sK8(sK0,sK4,sK1),sK6(sK0,sK4,sK1),X31)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_123])]) ).
fof(f2343,plain,
( ! [X31,X29,X30] :
( ~ member(sK6(sK0,sK4,sK1),sK0)
| ~ member(sK8(sK0,sK4,sK1),X31)
| apply(sK4,sK6(sK0,sK4,sK1),sK17(sK4,compose_function(sK4,sK3,sK1,sK0,sK1),sK8(sK0,sK4,sK1),sK6(sK0,sK4,sK1),X31))
| ~ member(sK8(sK0,sK4,sK1),X29)
| ~ member(sK6(sK0,sK4,sK1),X30) )
| ~ spl18_3
| ~ spl18_5
| ~ spl18_97 ),
inference(superposition,[],[f885,f2129]) ).
fof(f2398,plain,
( ~ spl18_121
| ~ spl18_98
| spl18_122
| ~ spl18_5
| ~ spl18_97 ),
inference(avatar_split_clause,[],[f2332,f2127,f231,f2396,f2131,f2392]) ).
fof(f2392,plain,
( spl18_121
<=> member(sK8(sK0,sK4,sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_121])]) ).
fof(f2396,plain,
( spl18_122
<=> ! [X16,X14,X15] :
( ~ member(sK10(sK1,sK4,sK8(sK0,sK4,sK1)),X16)
| ~ member(sK8(sK0,sK4,sK1),X15)
| apply(compose_function(sK4,sK4,X14,X15,X16),sK6(sK0,sK4,sK1),sK10(sK1,sK4,sK8(sK0,sK4,sK1)))
| ~ member(sK6(sK0,sK4,sK1),X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_122])]) ).
fof(f2332,plain,
( ! [X16,X14,X15] :
( ~ member(sK10(sK1,sK4,sK8(sK0,sK4,sK1)),X16)
| ~ member(sK6(sK0,sK4,sK1),X14)
| ~ member(sK6(sK0,sK4,sK1),sK0)
| apply(compose_function(sK4,sK4,X14,X15,X16),sK6(sK0,sK4,sK1),sK10(sK1,sK4,sK8(sK0,sK4,sK1)))
| ~ member(sK8(sK0,sK4,sK1),sK0)
| ~ member(sK8(sK0,sK4,sK1),X15) )
| ~ spl18_5
| ~ spl18_97 ),
inference(superposition,[],[f445,f2129]) ).
fof(f445,plain,
( ! [X10,X11,X8,X9] :
( ~ member(sK10(sK1,sK4,X8),sK0)
| apply(compose_function(sK4,sK4,X9,X10,X11),X8,sK10(sK1,sK4,sK10(sK1,sK4,X8)))
| ~ member(sK10(sK1,sK4,sK10(sK1,sK4,X8)),X11)
| ~ member(X8,sK0)
| ~ member(X8,X9)
| ~ member(sK10(sK1,sK4,X8),X10) )
| ~ spl18_5 ),
inference(resolution,[],[f261,f254]) ).
fof(f2390,plain,
( spl18_120
| ~ spl18_98
| ~ spl18_5
| ~ spl18_97 ),
inference(avatar_split_clause,[],[f2322,f2127,f231,f2131,f2387]) ).
fof(f2387,plain,
( spl18_120
<=> apply(sK4,sK6(sK0,sK4,sK1),sK8(sK0,sK4,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_120])]) ).
fof(f2322,plain,
( ~ member(sK6(sK0,sK4,sK1),sK0)
| apply(sK4,sK6(sK0,sK4,sK1),sK8(sK0,sK4,sK1))
| ~ spl18_5
| ~ spl18_97 ),
inference(superposition,[],[f254,f2129]) ).
fof(f2385,plain,
( ~ spl18_98
| spl18_113
| ~ spl18_4
| ~ spl18_5
| ~ spl18_97 ),
inference(avatar_split_clause,[],[f2345,f2127,f231,f226,f2357,f2131]) ).
fof(f2357,plain,
( spl18_113
<=> ! [X13,X12,X11] :
( ~ member(sK6(sK0,sK4,sK1),X12)
| apply(compose_function(sK3,sK4,X12,X11,X13),sK6(sK0,sK4,sK1),sK10(sK0,sK3,sK8(sK0,sK4,sK1)))
| ~ member(sK10(sK0,sK3,sK8(sK0,sK4,sK1)),X13)
| ~ member(sK8(sK0,sK4,sK1),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_113])]) ).
fof(f2345,plain,
( ! [X36,X37,X35] :
( ~ member(sK10(sK0,sK3,sK8(sK0,sK4,sK1)),X36)
| ~ member(sK6(sK0,sK4,sK1),X37)
| ~ member(sK8(sK0,sK4,sK1),X35)
| apply(compose_function(sK3,sK4,X37,X35,X36),sK6(sK0,sK4,sK1),sK10(sK0,sK3,sK8(sK0,sK4,sK1)))
| ~ member(sK6(sK0,sK4,sK1),sK0) )
| ~ spl18_4
| ~ spl18_5
| ~ spl18_97 ),
inference(superposition,[],[f956,f2129]) ).
fof(f2384,plain,
( ~ spl18_98
| spl18_119
| ~ spl18_3
| ~ spl18_5
| ~ spl18_97 ),
inference(avatar_split_clause,[],[f2340,f2127,f231,f221,f2381,f2131]) ).
fof(f2340,plain,
( apply(sK4,sK17(sK3,sK4,sK8(sK0,sK4,sK1),sK8(sK0,sK4,sK1),sK0),sK8(sK0,sK4,sK1))
| ~ member(sK6(sK0,sK4,sK1),sK0)
| ~ spl18_3
| ~ spl18_5
| ~ spl18_97 ),
inference(superposition,[],[f744,f2129]) ).
fof(f744,plain,
( ! [X0] :
( apply(sK4,sK17(sK3,sK4,sK10(sK1,sK4,X0),sK10(sK1,sK4,X0),sK0),sK10(sK1,sK4,X0))
| ~ member(X0,sK0) )
| ~ spl18_3
| ~ spl18_5 ),
inference(duplicate_literal_removal,[],[f743]) ).
fof(f743,plain,
( ! [X0] :
( apply(sK4,sK17(sK3,sK4,sK10(sK1,sK4,X0),sK10(sK1,sK4,X0),sK0),sK10(sK1,sK4,X0))
| ~ member(X0,sK0)
| ~ member(X0,sK0) )
| ~ spl18_3
| ~ spl18_5 ),
inference(resolution,[],[f327,f250]) ).
fof(f2379,plain,
( spl18_117
| spl18_118
| spl18_105
| ~ spl18_98
| ~ spl18_3
| ~ spl18_5
| ~ spl18_97 ),
inference(avatar_split_clause,[],[f2342,f2127,f231,f221,f2131,f2209,f2377,f2374]) ).
fof(f2377,plain,
( spl18_118
<=> ! [X26] :
( ~ member(sK8(sK0,sK4,sK1),X26)
| member(sK17(sK4,compose_function(sK4,sK3,sK1,sK0,sK1),sK8(sK0,sK4,sK1),sK6(sK0,sK4,sK1),X26),X26) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_118])]) ).
fof(f2342,plain,
( ! [X28,X26,X27] :
( ~ member(sK6(sK0,sK4,sK1),sK0)
| ~ member(sK8(sK0,sK4,sK1),X27)
| ~ member(sK8(sK0,sK4,sK1),X26)
| member(sK17(sK4,compose_function(sK4,sK3,sK1,sK0,sK1),sK8(sK0,sK4,sK1),sK6(sK0,sK4,sK1),X26),X26)
| ~ member(sK6(sK0,sK4,sK1),X28) )
| ~ spl18_3
| ~ spl18_5
| ~ spl18_97 ),
inference(superposition,[],[f884,f2129]) ).
fof(f2372,plain,
( ~ spl18_115
| ~ spl18_98
| spl18_116
| ~ spl18_2
| ~ spl18_4
| ~ spl18_5
| ~ spl18_97 ),
inference(avatar_split_clause,[],[f2338,f2127,f231,f226,f216,f2369,f2131,f2365]) ).
fof(f2369,plain,
( spl18_116
<=> apply(sK2,sK17(sK4,sK2,sK10(sK0,sK3,sK8(sK0,sK4,sK1)),sK10(sK0,sK3,sK8(sK0,sK4,sK1)),sK1),sK10(sK0,sK3,sK8(sK0,sK4,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_116])]) ).
fof(f2338,plain,
( apply(sK2,sK17(sK4,sK2,sK10(sK0,sK3,sK8(sK0,sK4,sK1)),sK10(sK0,sK3,sK8(sK0,sK4,sK1)),sK1),sK10(sK0,sK3,sK8(sK0,sK4,sK1)))
| ~ member(sK6(sK0,sK4,sK1),sK0)
| ~ member(sK10(sK0,sK3,sK8(sK0,sK4,sK1)),sK0)
| ~ spl18_2
| ~ spl18_4
| ~ spl18_5
| ~ spl18_97 ),
inference(superposition,[],[f611,f2129]) ).
fof(f611,plain,
( ! [X1] :
( ~ member(sK10(sK0,sK3,sK10(sK1,sK4,X1)),sK0)
| apply(sK2,sK17(sK4,sK2,sK10(sK0,sK3,sK10(sK1,sK4,X1)),sK10(sK0,sK3,sK10(sK1,sK4,X1)),sK1),sK10(sK0,sK3,sK10(sK1,sK4,X1)))
| ~ member(X1,sK0) )
| ~ spl18_2
| ~ spl18_4
| ~ spl18_5 ),
inference(duplicate_literal_removal,[],[f604]) ).
fof(f604,plain,
( ! [X1] :
( ~ member(sK10(sK0,sK3,sK10(sK1,sK4,X1)),sK0)
| ~ member(X1,sK0)
| apply(sK2,sK17(sK4,sK2,sK10(sK0,sK3,sK10(sK1,sK4,X1)),sK10(sK0,sK3,sK10(sK1,sK4,X1)),sK1),sK10(sK0,sK3,sK10(sK1,sK4,X1)))
| ~ member(sK10(sK0,sK3,sK10(sK1,sK4,X1)),sK0) )
| ~ spl18_2
| ~ spl18_4
| ~ spl18_5 ),
inference(resolution,[],[f294,f205]) ).
fof(f2363,plain,
( ~ spl18_98
| spl18_114
| ~ spl18_5
| ~ spl18_97 ),
inference(avatar_split_clause,[],[f2324,f2127,f231,f2361,f2131]) ).
fof(f2361,plain,
( spl18_114
<=> ! [X4,X0,X3,X2,X1] :
( apply(compose_function(X0,sK4,X2,X3,X4),sK6(sK0,sK4,sK1),X1)
| ~ member(sK8(sK0,sK4,sK1),X3)
| ~ member(sK6(sK0,sK4,sK1),X2)
| ~ apply(X0,sK8(sK0,sK4,sK1),X1)
| ~ member(X1,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_114])]) ).
fof(f2324,plain,
( ! [X2,X3,X0,X1,X4] :
( apply(compose_function(X0,sK4,X2,X3,X4),sK6(sK0,sK4,sK1),X1)
| ~ member(X1,X4)
| ~ apply(X0,sK8(sK0,sK4,sK1),X1)
| ~ member(sK6(sK0,sK4,sK1),X2)
| ~ member(sK8(sK0,sK4,sK1),X3)
| ~ member(sK6(sK0,sK4,sK1),sK0) )
| ~ spl18_5
| ~ spl18_97 ),
inference(superposition,[],[f261,f2129]) ).
fof(f2359,plain,
( ~ spl18_98
| ~ spl18_103
| spl18_113
| ~ spl18_4
| ~ spl18_5
| ~ spl18_97 ),
inference(avatar_split_clause,[],[f2331,f2127,f231,f226,f2357,f2179,f2131]) ).
fof(f2331,plain,
( ! [X11,X12,X13] :
( ~ member(sK6(sK0,sK4,sK1),X12)
| ~ member(sK8(sK0,sK4,sK1),sK1)
| ~ member(sK8(sK0,sK4,sK1),X11)
| ~ member(sK10(sK0,sK3,sK8(sK0,sK4,sK1)),X13)
| ~ member(sK6(sK0,sK4,sK1),sK0)
| apply(compose_function(sK3,sK4,X12,X11,X13),sK6(sK0,sK4,sK1),sK10(sK0,sK3,sK8(sK0,sK4,sK1))) )
| ~ spl18_4
| ~ spl18_5
| ~ spl18_97 ),
inference(superposition,[],[f444,f2129]) ).
fof(f2355,plain,
( ~ spl18_103
| spl18_112
| ~ spl18_98
| ~ spl18_5
| ~ spl18_6
| ~ spl18_97 ),
inference(avatar_split_clause,[],[f2333,f2127,f236,f231,f2131,f2353,f2179]) ).
fof(f2333,plain,
( ! [X18,X19,X17] :
( ~ member(sK6(sK0,sK4,sK1),sK0)
| ~ member(sK10(sK0,sK2,sK8(sK0,sK4,sK1)),X19)
| ~ member(sK6(sK0,sK4,sK1),X17)
| ~ member(sK8(sK0,sK4,sK1),sK1)
| ~ member(sK8(sK0,sK4,sK1),X18)
| apply(compose_function(sK2,sK4,X17,X18,X19),sK6(sK0,sK4,sK1),sK10(sK0,sK2,sK8(sK0,sK4,sK1))) )
| ~ spl18_5
| ~ spl18_6
| ~ spl18_97 ),
inference(superposition,[],[f446,f2129]) ).
fof(f2351,plain,
( ~ spl18_103
| spl18_111
| ~ spl18_98
| ~ spl18_3
| ~ spl18_5
| ~ spl18_97 ),
inference(avatar_split_clause,[],[f2327,f2127,f231,f221,f2131,f2348,f2179]) ).
fof(f2348,plain,
( spl18_111
<=> member(sK17(sK3,sK4,sK8(sK0,sK4,sK1),sK8(sK0,sK4,sK1),sK0),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_111])]) ).
fof(f2327,plain,
( ~ member(sK6(sK0,sK4,sK1),sK0)
| member(sK17(sK3,sK4,sK8(sK0,sK4,sK1),sK8(sK0,sK4,sK1),sK0),sK0)
| ~ member(sK8(sK0,sK4,sK1),sK1)
| ~ spl18_3
| ~ spl18_5
| ~ spl18_97 ),
inference(superposition,[],[f325,f2129]) ).
fof(f2320,plain,
( ~ spl18_103
| ~ spl18_6
| ~ spl18_107 ),
inference(avatar_split_clause,[],[f2296,f2215,f236,f2179]) ).
fof(f2215,plain,
( spl18_107
<=> ! [X25] : ~ member(sK10(sK0,sK2,sK8(sK0,sK4,sK1)),X25) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_107])]) ).
fof(f2296,plain,
( ~ member(sK8(sK0,sK4,sK1),sK1)
| ~ spl18_6
| ~ spl18_107 ),
inference(resolution,[],[f2216,f251]) ).
fof(f2216,plain,
( ! [X25] : ~ member(sK10(sK0,sK2,sK8(sK0,sK4,sK1)),X25)
| ~ spl18_107 ),
inference(avatar_component_clause,[],[f2215]) ).
fof(f2319,plain,
~ spl18_107,
inference(avatar_contradiction_clause,[],[f2307]) ).
fof(f2307,plain,
( $false
| ~ spl18_107 ),
inference(resolution,[],[f2216,f208]) ).
fof(f2318,plain,
~ spl18_107,
inference(avatar_contradiction_clause,[],[f2302]) ).
fof(f2302,plain,
( $false
| ~ spl18_107 ),
inference(resolution,[],[f2216,f959]) ).
fof(f2317,plain,
~ spl18_107,
inference(avatar_contradiction_clause,[],[f2298]) ).
fof(f2298,plain,
( $false
| ~ spl18_107 ),
inference(resolution,[],[f2216,f563]) ).
fof(f2316,plain,
~ spl18_107,
inference(avatar_contradiction_clause,[],[f2306]) ).
fof(f2306,plain,
( $false
| ~ spl18_107 ),
inference(resolution,[],[f2216,f207]) ).
fof(f2315,plain,
~ spl18_107,
inference(avatar_contradiction_clause,[],[f2305]) ).
fof(f2305,plain,
( $false
| ~ spl18_107 ),
inference(resolution,[],[f2216,f209]) ).
fof(f2314,plain,
~ spl18_107,
inference(avatar_contradiction_clause,[],[f2299]) ).
fof(f2299,plain,
( $false
| ~ spl18_107 ),
inference(resolution,[],[f2216,f673]) ).
fof(f2313,plain,
~ spl18_107,
inference(avatar_contradiction_clause,[],[f2297]) ).
fof(f2297,plain,
( $false
| ~ spl18_107 ),
inference(resolution,[],[f2216,f412]) ).
fof(f2312,plain,
~ spl18_107,
inference(avatar_contradiction_clause,[],[f2300]) ).
fof(f2300,plain,
( $false
| ~ spl18_107 ),
inference(resolution,[],[f2216,f757]) ).
fof(f2311,plain,
~ spl18_107,
inference(avatar_contradiction_clause,[],[f2308]) ).
fof(f2308,plain,
( $false
| ~ spl18_107 ),
inference(resolution,[],[f2216,f538]) ).
fof(f2310,plain,
~ spl18_107,
inference(avatar_contradiction_clause,[],[f2301]) ).
fof(f2301,plain,
( $false
| ~ spl18_107 ),
inference(resolution,[],[f2216,f838]) ).
fof(f2281,plain,
( spl18_58
| ~ spl18_105 ),
inference(avatar_split_clause,[],[f2255,f2209,f1346]) ).
fof(f2255,plain,
( injective(sK4,sK0,sK1)
| ~ spl18_105 ),
inference(resolution,[],[f2210,f158]) ).
fof(f2210,plain,
( ! [X27] : ~ member(sK8(sK0,sK4,sK1),X27)
| ~ spl18_105 ),
inference(avatar_component_clause,[],[f2209]) ).
fof(f2280,plain,
~ spl18_105,
inference(avatar_contradiction_clause,[],[f2266]) ).
fof(f2266,plain,
( $false
| ~ spl18_105 ),
inference(resolution,[],[f2210,f207]) ).
fof(f2279,plain,
~ spl18_105,
inference(avatar_contradiction_clause,[],[f2260]) ).
fof(f2260,plain,
( $false
| ~ spl18_105 ),
inference(resolution,[],[f2210,f757]) ).
fof(f2278,plain,
~ spl18_105,
inference(avatar_contradiction_clause,[],[f2259]) ).
fof(f2259,plain,
( $false
| ~ spl18_105 ),
inference(resolution,[],[f2210,f673]) ).
fof(f2277,plain,
~ spl18_105,
inference(avatar_contradiction_clause,[],[f2265]) ).
fof(f2265,plain,
( $false
| ~ spl18_105 ),
inference(resolution,[],[f2210,f209]) ).
fof(f2276,plain,
~ spl18_105,
inference(avatar_contradiction_clause,[],[f2257]) ).
fof(f2257,plain,
( $false
| ~ spl18_105 ),
inference(resolution,[],[f2210,f412]) ).
fof(f2275,plain,
~ spl18_105,
inference(avatar_contradiction_clause,[],[f2261]) ).
fof(f2261,plain,
( $false
| ~ spl18_105 ),
inference(resolution,[],[f2210,f838]) ).
fof(f2274,plain,
~ spl18_105,
inference(avatar_contradiction_clause,[],[f2262]) ).
fof(f2262,plain,
( $false
| ~ spl18_105 ),
inference(resolution,[],[f2210,f959]) ).
fof(f2273,plain,
~ spl18_105,
inference(avatar_contradiction_clause,[],[f2258]) ).
fof(f2258,plain,
( $false
| ~ spl18_105 ),
inference(resolution,[],[f2210,f563]) ).
fof(f2272,plain,
~ spl18_105,
inference(avatar_contradiction_clause,[],[f2268]) ).
fof(f2268,plain,
( $false
| ~ spl18_105 ),
inference(resolution,[],[f2210,f538]) ).
fof(f2271,plain,
~ spl18_105,
inference(avatar_contradiction_clause,[],[f2267]) ).
fof(f2267,plain,
( $false
| ~ spl18_105 ),
inference(resolution,[],[f2210,f208]) ).
fof(f2270,plain,
( ~ spl18_103
| ~ spl18_105 ),
inference(avatar_contradiction_clause,[],[f2256]) ).
fof(f2256,plain,
( $false
| ~ spl18_103
| ~ spl18_105 ),
inference(resolution,[],[f2210,f2181]) ).
fof(f2181,plain,
( member(sK8(sK0,sK4,sK1),sK1)
| ~ spl18_103 ),
inference(avatar_component_clause,[],[f2179]) ).
fof(f2230,plain,
( spl18_110
| ~ spl18_3
| ~ spl18_103 ),
inference(avatar_split_clause,[],[f2196,f2179,f221,f2227]) ).
fof(f2227,plain,
( spl18_110
<=> apply(compose_function(sK4,sK3,sK1,sK0,sK1),sK8(sK0,sK4,sK1),sK8(sK0,sK4,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_110])]) ).
fof(f2196,plain,
( apply(compose_function(sK4,sK3,sK1,sK0,sK1),sK8(sK0,sK4,sK1),sK8(sK0,sK4,sK1))
| ~ spl18_3
| ~ spl18_103 ),
inference(resolution,[],[f2181,f241]) ).
fof(f2225,plain,
( spl18_107
| spl18_105
| spl18_109
| ~ spl18_2
| ~ spl18_6
| ~ spl18_103 ),
inference(avatar_split_clause,[],[f2198,f2179,f236,f216,f2223,f2209,f2215]) ).
fof(f2223,plain,
( spl18_109
<=> ! [X24] :
( member(sK17(sK2,compose_function(sK2,sK4,sK0,sK1,sK0),sK10(sK0,sK2,sK8(sK0,sK4,sK1)),sK8(sK0,sK4,sK1),X24),X24)
| ~ member(sK10(sK0,sK2,sK8(sK0,sK4,sK1)),X24) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_109])]) ).
fof(f2198,plain,
( ! [X24,X22,X23] :
( member(sK17(sK2,compose_function(sK2,sK4,sK0,sK1,sK0),sK10(sK0,sK2,sK8(sK0,sK4,sK1)),sK8(sK0,sK4,sK1),X24),X24)
| ~ member(sK10(sK0,sK2,sK8(sK0,sK4,sK1)),X24)
| ~ member(sK8(sK0,sK4,sK1),X23)
| ~ member(sK10(sK0,sK2,sK8(sK0,sK4,sK1)),X22) )
| ~ spl18_2
| ~ spl18_6
| ~ spl18_103 ),
inference(resolution,[],[f2181,f896]) ).
fof(f896,plain,
( ! [X10,X11,X8,X9] :
( ~ member(X8,sK1)
| ~ member(sK10(sK0,sK2,X8),X9)
| ~ member(X8,X11)
| member(sK17(sK2,compose_function(sK2,sK4,sK0,sK1,sK0),sK10(sK0,sK2,X8),X8,X10),X10)
| ~ member(sK10(sK0,sK2,X8),X10) )
| ~ spl18_2
| ~ spl18_6 ),
inference(duplicate_literal_removal,[],[f888]) ).
fof(f888,plain,
( ! [X10,X11,X8,X9] :
( ~ member(X8,X11)
| ~ member(sK10(sK0,sK2,X8),X10)
| ~ member(sK10(sK0,sK2,X8),X9)
| member(sK17(sK2,compose_function(sK2,sK4,sK0,sK1,sK0),sK10(sK0,sK2,X8),X8,X10),X10)
| ~ member(sK10(sK0,sK2,X8),X9)
| ~ member(X8,X11)
| ~ member(X8,sK1) )
| ~ spl18_2
| ~ spl18_6 ),
inference(resolution,[],[f452,f204]) ).
fof(f2221,plain,
( spl18_105
| spl18_107
| spl18_108
| ~ spl18_2
| ~ spl18_6
| ~ spl18_103 ),
inference(avatar_split_clause,[],[f2200,f2179,f236,f216,f2219,f2215,f2209]) ).
fof(f2219,plain,
( spl18_108
<=> ! [X30] :
( apply(sK2,sK8(sK0,sK4,sK1),sK17(sK2,compose_function(sK2,sK4,sK0,sK1,sK0),sK10(sK0,sK2,sK8(sK0,sK4,sK1)),sK8(sK0,sK4,sK1),X30))
| ~ member(sK10(sK0,sK2,sK8(sK0,sK4,sK1)),X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_108])]) ).
fof(f2200,plain,
( ! [X28,X29,X30] :
( apply(sK2,sK8(sK0,sK4,sK1),sK17(sK2,compose_function(sK2,sK4,sK0,sK1,sK0),sK10(sK0,sK2,sK8(sK0,sK4,sK1)),sK8(sK0,sK4,sK1),X30))
| ~ member(sK10(sK0,sK2,sK8(sK0,sK4,sK1)),X28)
| ~ member(sK8(sK0,sK4,sK1),X29)
| ~ member(sK10(sK0,sK2,sK8(sK0,sK4,sK1)),X30) )
| ~ spl18_2
| ~ spl18_6
| ~ spl18_103 ),
inference(resolution,[],[f2181,f898]) ).
fof(f898,plain,
( ! [X2,X3,X0,X1] :
( ~ member(X0,sK1)
| ~ member(sK10(sK0,sK2,X0),X1)
| ~ member(X0,X3)
| ~ member(sK10(sK0,sK2,X0),X2)
| apply(sK2,X0,sK17(sK2,compose_function(sK2,sK4,sK0,sK1,sK0),sK10(sK0,sK2,X0),X0,X2)) )
| ~ spl18_2
| ~ spl18_6 ),
inference(duplicate_literal_removal,[],[f886]) ).
fof(f886,plain,
( ! [X2,X3,X0,X1] :
( ~ member(sK10(sK0,sK2,X0),X1)
| ~ member(X0,sK1)
| ~ member(sK10(sK0,sK2,X0),X1)
| ~ member(X0,X3)
| ~ member(sK10(sK0,sK2,X0),X2)
| apply(sK2,X0,sK17(sK2,compose_function(sK2,sK4,sK0,sK1,sK0),sK10(sK0,sK2,X0),X0,X2))
| ~ member(X0,X3) )
| ~ spl18_2
| ~ spl18_6 ),
inference(resolution,[],[f452,f206]) ).
fof(f2217,plain,
( spl18_105
| spl18_106
| spl18_107
| ~ spl18_2
| ~ spl18_6
| ~ spl18_103 ),
inference(avatar_split_clause,[],[f2199,f2179,f236,f216,f2215,f2212,f2209]) ).
fof(f2212,plain,
( spl18_106
<=> ! [X26] :
( apply(compose_function(sK2,sK4,sK0,sK1,sK0),sK17(sK2,compose_function(sK2,sK4,sK0,sK1,sK0),sK10(sK0,sK2,sK8(sK0,sK4,sK1)),sK8(sK0,sK4,sK1),X26),sK10(sK0,sK2,sK8(sK0,sK4,sK1)))
| ~ member(sK10(sK0,sK2,sK8(sK0,sK4,sK1)),X26) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_106])]) ).
fof(f2199,plain,
( ! [X26,X27,X25] :
( ~ member(sK10(sK0,sK2,sK8(sK0,sK4,sK1)),X25)
| apply(compose_function(sK2,sK4,sK0,sK1,sK0),sK17(sK2,compose_function(sK2,sK4,sK0,sK1,sK0),sK10(sK0,sK2,sK8(sK0,sK4,sK1)),sK8(sK0,sK4,sK1),X26),sK10(sK0,sK2,sK8(sK0,sK4,sK1)))
| ~ member(sK8(sK0,sK4,sK1),X27)
| ~ member(sK10(sK0,sK2,sK8(sK0,sK4,sK1)),X26) )
| ~ spl18_2
| ~ spl18_6
| ~ spl18_103 ),
inference(resolution,[],[f2181,f897]) ).
fof(f897,plain,
( ! [X6,X7,X4,X5] :
( ~ member(X4,sK1)
| ~ member(sK10(sK0,sK2,X4),X5)
| apply(compose_function(sK2,sK4,sK0,sK1,sK0),sK17(sK2,compose_function(sK2,sK4,sK0,sK1,sK0),sK10(sK0,sK2,X4),X4,X6),sK10(sK0,sK2,X4))
| ~ member(sK10(sK0,sK2,X4),X6)
| ~ member(X4,X7) )
| ~ spl18_2
| ~ spl18_6 ),
inference(duplicate_literal_removal,[],[f887]) ).
fof(f887,plain,
( ! [X6,X7,X4,X5] :
( ~ member(sK10(sK0,sK2,X4),X5)
| ~ member(X4,X7)
| ~ member(sK10(sK0,sK2,X4),X6)
| ~ member(X4,sK1)
| ~ member(X4,X7)
| apply(compose_function(sK2,sK4,sK0,sK1,sK0),sK17(sK2,compose_function(sK2,sK4,sK0,sK1,sK0),sK10(sK0,sK2,X4),X4,X6),sK10(sK0,sK2,X4))
| ~ member(sK10(sK0,sK2,X4),X5) )
| ~ spl18_2
| ~ spl18_6 ),
inference(resolution,[],[f452,f205]) ).
fof(f2207,plain,
( spl18_104
| ~ spl18_2
| ~ spl18_4
| ~ spl18_103 ),
inference(avatar_split_clause,[],[f2197,f2179,f226,f216,f2204]) ).
fof(f2204,plain,
( spl18_104
<=> apply(compose_function(sK2,sK4,sK0,sK1,sK0),sK10(sK0,sK3,sK8(sK0,sK4,sK1)),sK10(sK0,sK3,sK8(sK0,sK4,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_104])]) ).
fof(f2197,plain,
( apply(compose_function(sK2,sK4,sK0,sK1,sK0),sK10(sK0,sK3,sK8(sK0,sK4,sK1)),sK10(sK0,sK3,sK8(sK0,sK4,sK1)))
| ~ spl18_2
| ~ spl18_4
| ~ spl18_103 ),
inference(resolution,[],[f2181,f252]) ).
fof(f2182,plain,
( spl18_103
| ~ spl18_97
| ~ spl18_99 ),
inference(avatar_split_clause,[],[f2177,f2135,f2127,f2179]) ).
fof(f2135,plain,
( spl18_99
<=> member(sK10(sK1,sK4,sK6(sK0,sK4,sK1)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_99])]) ).
fof(f2177,plain,
( member(sK8(sK0,sK4,sK1),sK1)
| ~ spl18_97
| ~ spl18_99 ),
inference(forward_demodulation,[],[f2136,f2129]) ).
fof(f2136,plain,
( member(sK10(sK1,sK4,sK6(sK0,sK4,sK1)),sK1)
| ~ spl18_99 ),
inference(avatar_component_clause,[],[f2135]) ).
fof(f2176,plain,
( ~ spl18_98
| ~ spl18_5
| spl18_99 ),
inference(avatar_split_clause,[],[f2175,f2135,f231,f2131]) ).
fof(f2175,plain,
( ~ member(sK6(sK0,sK4,sK1),sK0)
| ~ spl18_5
| spl18_99 ),
inference(resolution,[],[f2137,f250]) ).
fof(f2137,plain,
( ~ member(sK10(sK1,sK4,sK6(sK0,sK4,sK1)),sK1)
| spl18_99 ),
inference(avatar_component_clause,[],[f2135]) ).
fof(f2174,plain,
( spl18_102
| ~ spl18_2
| ~ spl18_98 ),
inference(avatar_split_clause,[],[f2169,f2131,f216,f2171]) ).
fof(f2169,plain,
( apply(compose_function(sK2,sK4,sK0,sK1,sK0),sK6(sK0,sK4,sK1),sK6(sK0,sK4,sK1))
| ~ spl18_2
| ~ spl18_98 ),
inference(resolution,[],[f2132,f240]) ).
fof(f2149,plain,
( spl18_58
| spl18_98 ),
inference(avatar_split_clause,[],[f2148,f2131,f1346]) ).
fof(f2148,plain,
( injective(sK4,sK0,sK1)
| spl18_98 ),
inference(resolution,[],[f2133,f157]) ).
fof(f2133,plain,
( ~ member(sK6(sK0,sK4,sK1),sK0)
| spl18_98 ),
inference(avatar_component_clause,[],[f2131]) ).
fof(f2147,plain,
( spl18_58
| ~ spl18_100
| spl18_101
| ~ spl18_2
| ~ spl18_59 ),
inference(avatar_split_clause,[],[f2125,f1350,f216,f2144,f2140,f1346]) ).
fof(f1350,plain,
( spl18_59
<=> ! [X0] :
( ~ member(X0,sK1)
| sK8(sK0,sK4,sK1) = X0
| ~ apply(sK4,sK6(sK0,sK4,sK1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_59])]) ).
fof(f2125,plain,
( sK8(sK0,sK4,sK1) = sK17(sK4,sK2,sK6(sK0,sK4,sK1),sK6(sK0,sK4,sK1),sK1)
| ~ member(sK17(sK4,sK2,sK6(sK0,sK4,sK1),sK6(sK0,sK4,sK1),sK1),sK1)
| injective(sK4,sK0,sK1)
| ~ spl18_2
| ~ spl18_59 ),
inference(resolution,[],[f1351,f759]) ).
fof(f759,plain,
( ! [X0,X1] :
( apply(sK4,sK6(sK0,X0,X1),sK17(sK4,sK2,sK6(sK0,X0,X1),sK6(sK0,X0,X1),sK1))
| injective(X0,sK0,X1) )
| ~ spl18_2 ),
inference(duplicate_literal_removal,[],[f758]) ).
fof(f758,plain,
( ! [X0,X1] :
( apply(sK4,sK6(sK0,X0,X1),sK17(sK4,sK2,sK6(sK0,X0,X1),sK6(sK0,X0,X1),sK1))
| injective(X0,sK0,X1)
| injective(X0,sK0,X1) )
| ~ spl18_2 ),
inference(resolution,[],[f362,f157]) ).
fof(f362,plain,
( ! [X0,X1] :
( ~ member(sK6(sK0,X0,X1),sK0)
| injective(X0,sK0,X1)
| apply(sK4,sK6(sK0,X0,X1),sK17(sK4,sK2,sK6(sK0,X0,X1),sK6(sK0,X0,X1),sK1)) )
| ~ spl18_2 ),
inference(duplicate_literal_removal,[],[f357]) ).
fof(f357,plain,
( ! [X0,X1] :
( apply(sK4,sK6(sK0,X0,X1),sK17(sK4,sK2,sK6(sK0,X0,X1),sK6(sK0,X0,X1),sK1))
| ~ member(sK6(sK0,X0,X1),sK0)
| injective(X0,sK0,X1)
| ~ member(sK6(sK0,X0,X1),sK0) )
| ~ spl18_2 ),
inference(resolution,[],[f289,f206]) ).
fof(f1351,plain,
( ! [X0] :
( ~ apply(sK4,sK6(sK0,sK4,sK1),X0)
| ~ member(X0,sK1)
| sK8(sK0,sK4,sK1) = X0 )
| ~ spl18_59 ),
inference(avatar_component_clause,[],[f1350]) ).
fof(f2138,plain,
( spl18_97
| ~ spl18_98
| ~ spl18_99
| ~ spl18_5
| ~ spl18_59 ),
inference(avatar_split_clause,[],[f2124,f1350,f231,f2135,f2131,f2127]) ).
fof(f2124,plain,
( ~ member(sK10(sK1,sK4,sK6(sK0,sK4,sK1)),sK1)
| ~ member(sK6(sK0,sK4,sK1),sK0)
| sK8(sK0,sK4,sK1) = sK10(sK1,sK4,sK6(sK0,sK4,sK1))
| ~ spl18_5
| ~ spl18_59 ),
inference(resolution,[],[f1351,f254]) ).
fof(f2045,plain,
( ~ spl18_95
| spl18_96
| ~ spl18_81 ),
inference(avatar_split_clause,[],[f2036,f1675,f2042,f2038]) ).
fof(f2038,plain,
( spl18_95
<=> injective(sK4,power_set(power_set(power_set(power_set(power_set(product(empty_set)))))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_95])]) ).
fof(f2042,plain,
( spl18_96
<=> one_to_one(sK4,power_set(power_set(power_set(power_set(power_set(product(empty_set)))))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_96])]) ).
fof(f1675,plain,
( spl18_81
<=> surjective(sK4,power_set(power_set(power_set(power_set(power_set(product(empty_set)))))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_81])]) ).
fof(f2036,plain,
( one_to_one(sK4,power_set(power_set(power_set(power_set(power_set(product(empty_set)))))),sK1)
| ~ injective(sK4,power_set(power_set(power_set(power_set(power_set(product(empty_set)))))),sK1)
| ~ spl18_81 ),
inference(resolution,[],[f1677,f190]) ).
fof(f190,plain,
! [X2,X0,X1] :
( ~ surjective(X0,X1,X2)
| ~ injective(X0,X1,X2)
| one_to_one(X0,X1,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2] :
( ~ surjective(X0,X1,X2)
| one_to_one(X0,X1,X2)
| ~ injective(X0,X1,X2) ),
inference(rectify,[],[f70]) ).
fof(f70,plain,
! [X0,X2,X1] :
( ~ surjective(X0,X2,X1)
| one_to_one(X0,X2,X1)
| ~ injective(X0,X2,X1) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
! [X2,X0,X1] :
( one_to_one(X0,X2,X1)
| ~ injective(X0,X2,X1)
| ~ surjective(X0,X2,X1) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ( injective(X0,X2,X1)
& surjective(X0,X2,X1) )
=> one_to_one(X0,X2,X1) ),
inference(unused_predicate_definition_removal,[],[f42]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ( injective(X0,X2,X1)
& surjective(X0,X2,X1) )
<=> one_to_one(X0,X2,X1) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X5,X1,X0] :
( ( injective(X5,X0,X1)
& surjective(X5,X0,X1) )
<=> one_to_one(X5,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_to_one) ).
fof(f1677,plain,
( surjective(sK4,power_set(power_set(power_set(power_set(power_set(product(empty_set)))))),sK1)
| ~ spl18_81 ),
inference(avatar_component_clause,[],[f1675]) ).
fof(f1960,plain,
( ~ spl18_93
| spl18_94
| ~ spl18_78 ),
inference(avatar_split_clause,[],[f1951,f1661,f1957,f1953]) ).
fof(f1953,plain,
( spl18_93
<=> injective(sK4,power_set(power_set(power_set(power_set(product(empty_set))))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_93])]) ).
fof(f1957,plain,
( spl18_94
<=> one_to_one(sK4,power_set(power_set(power_set(power_set(product(empty_set))))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_94])]) ).
fof(f1661,plain,
( spl18_78
<=> surjective(sK4,power_set(power_set(power_set(power_set(product(empty_set))))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_78])]) ).
fof(f1951,plain,
( one_to_one(sK4,power_set(power_set(power_set(power_set(product(empty_set))))),sK1)
| ~ injective(sK4,power_set(power_set(power_set(power_set(product(empty_set))))),sK1)
| ~ spl18_78 ),
inference(resolution,[],[f1663,f190]) ).
fof(f1663,plain,
( surjective(sK4,power_set(power_set(power_set(power_set(product(empty_set))))),sK1)
| ~ spl18_78 ),
inference(avatar_component_clause,[],[f1661]) ).
fof(f1939,plain,
( ~ spl18_91
| spl18_92
| ~ spl18_83 ),
inference(avatar_split_clause,[],[f1930,f1685,f1936,f1932]) ).
fof(f1932,plain,
( spl18_91
<=> injective(sK4,power_set(power_set(power_set(product(empty_set)))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_91])]) ).
fof(f1936,plain,
( spl18_92
<=> one_to_one(sK4,power_set(power_set(power_set(product(empty_set)))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_92])]) ).
fof(f1685,plain,
( spl18_83
<=> surjective(sK4,power_set(power_set(power_set(product(empty_set)))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_83])]) ).
fof(f1930,plain,
( one_to_one(sK4,power_set(power_set(power_set(product(empty_set)))),sK1)
| ~ injective(sK4,power_set(power_set(power_set(product(empty_set)))),sK1)
| ~ spl18_83 ),
inference(resolution,[],[f1687,f190]) ).
fof(f1687,plain,
( surjective(sK4,power_set(power_set(power_set(product(empty_set)))),sK1)
| ~ spl18_83 ),
inference(avatar_component_clause,[],[f1685]) ).
fof(f1839,plain,
( ~ spl18_89
| spl18_90
| ~ spl18_76 ),
inference(avatar_split_clause,[],[f1830,f1651,f1836,f1832]) ).
fof(f1832,plain,
( spl18_89
<=> injective(sK4,power_set(power_set(product(empty_set))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_89])]) ).
fof(f1836,plain,
( spl18_90
<=> one_to_one(sK4,power_set(power_set(product(empty_set))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_90])]) ).
fof(f1651,plain,
( spl18_76
<=> surjective(sK4,power_set(power_set(product(empty_set))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_76])]) ).
fof(f1830,plain,
( one_to_one(sK4,power_set(power_set(product(empty_set))),sK1)
| ~ injective(sK4,power_set(power_set(product(empty_set))),sK1)
| ~ spl18_76 ),
inference(resolution,[],[f1653,f190]) ).
fof(f1653,plain,
( surjective(sK4,power_set(power_set(product(empty_set))),sK1)
| ~ spl18_76 ),
inference(avatar_component_clause,[],[f1651]) ).
fof(f1829,plain,
( spl18_87
| ~ spl18_88
| ~ spl18_77 ),
inference(avatar_split_clause,[],[f1820,f1656,f1826,f1822]) ).
fof(f1822,plain,
( spl18_87
<=> one_to_one(sK4,power_set(product(empty_set)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_87])]) ).
fof(f1826,plain,
( spl18_88
<=> injective(sK4,power_set(product(empty_set)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_88])]) ).
fof(f1656,plain,
( spl18_77
<=> surjective(sK4,power_set(product(empty_set)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_77])]) ).
fof(f1820,plain,
( ~ injective(sK4,power_set(product(empty_set)),sK1)
| one_to_one(sK4,power_set(product(empty_set)),sK1)
| ~ spl18_77 ),
inference(resolution,[],[f1658,f190]) ).
fof(f1658,plain,
( surjective(sK4,power_set(product(empty_set)),sK1)
| ~ spl18_77 ),
inference(avatar_component_clause,[],[f1656]) ).
fof(f1793,plain,
( spl18_58
| spl18_86
| ~ spl18_5 ),
inference(avatar_split_clause,[],[f1372,f231,f1791,f1346]) ).
fof(f1372,plain,
( ! [X0] :
( sK8(sK0,sK4,sK1) = X0
| injective(sK4,sK0,sK1)
| ~ apply(sK4,sK7(sK0,sK4,sK1),X0)
| ~ member(X0,sK1) )
| ~ spl18_5 ),
inference(duplicate_literal_removal,[],[f1371]) ).
fof(f1371,plain,
( ! [X0] :
( ~ apply(sK4,sK7(sK0,sK4,sK1),X0)
| sK8(sK0,sK4,sK1) = X0
| ~ member(X0,sK1)
| injective(sK4,sK0,sK1)
| injective(sK4,sK0,sK1) )
| ~ spl18_5 ),
inference(resolution,[],[f866,f156]) ).
fof(f866,plain,
( ! [X0,X1] :
( ~ member(sK7(X0,sK4,sK1),sK0)
| ~ apply(sK4,sK7(X0,sK4,sK1),X1)
| ~ member(X1,sK1)
| injective(sK4,X0,sK1)
| sK8(X0,sK4,sK1) = X1 )
| ~ spl18_5 ),
inference(duplicate_literal_removal,[],[f865]) ).
fof(f865,plain,
( ! [X0,X1] :
( ~ member(sK7(X0,sK4,sK1),sK0)
| injective(sK4,X0,sK1)
| sK8(X0,sK4,sK1) = X1
| ~ apply(sK4,sK7(X0,sK4,sK1),X1)
| ~ member(X1,sK1)
| injective(sK4,X0,sK1) )
| ~ spl18_5 ),
inference(resolution,[],[f498,f158]) ).
fof(f498,plain,
( ! [X3,X4,X5] :
( ~ member(sK8(X3,sK4,X4),sK1)
| injective(sK4,X3,X4)
| sK8(X3,sK4,X4) = X5
| ~ apply(sK4,sK7(X3,sK4,X4),X5)
| ~ member(sK7(X3,sK4,X4),sK0)
| ~ member(X5,sK1) )
| ~ spl18_5 ),
inference(resolution,[],[f332,f233]) ).
fof(f332,plain,
! [X31,X29,X34,X32,X30,X33] :
( ~ maps(X29,X34,X33)
| injective(X29,X30,X31)
| ~ member(sK8(X30,X29,X31),X33)
| ~ apply(X29,sK7(X30,X29,X31),X32)
| ~ member(X32,X33)
| ~ member(sK7(X30,X29,X31),X34)
| sK8(X30,X29,X31) = X32 ),
inference(resolution,[],[f155,f165]) ).
fof(f1789,plain,
( ~ spl18_58
| spl18_1
| ~ spl18_80 ),
inference(avatar_split_clause,[],[f1788,f1670,f211,f1346]) ).
fof(f211,plain,
( spl18_1
<=> one_to_one(sK4,sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_1])]) ).
fof(f1670,plain,
( spl18_80
<=> surjective(sK4,sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_80])]) ).
fof(f1788,plain,
( one_to_one(sK4,sK0,sK1)
| ~ injective(sK4,sK0,sK1)
| ~ spl18_80 ),
inference(resolution,[],[f1672,f190]) ).
fof(f1672,plain,
( surjective(sK4,sK0,sK1)
| ~ spl18_80 ),
inference(avatar_component_clause,[],[f1670]) ).
fof(f1776,plain,
( spl18_80
| spl18_79 ),
inference(avatar_split_clause,[],[f1775,f1666,f1670]) ).
fof(f1666,plain,
( spl18_79
<=> member(sK13(sK4,sK1,sK0),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_79])]) ).
fof(f1775,plain,
( surjective(sK4,sK0,sK1)
| spl18_79 ),
inference(resolution,[],[f1668,f185]) ).
fof(f185,plain,
! [X2,X0,X1] :
( member(sK13(X0,X1,X2),X1)
| surjective(X0,X2,X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ( ! [X4] :
( ~ apply(X0,X4,sK13(X0,X1,X2))
| ~ member(X4,X2) )
& member(sK13(X0,X1,X2),X1) )
| surjective(X0,X2,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f118,f119]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ? [X3] :
( ! [X4] :
( ~ apply(X0,X4,X3)
| ~ member(X4,X2) )
& member(X3,X1) )
=> ( ! [X4] :
( ~ apply(X0,X4,sK13(X0,X1,X2))
| ~ member(X4,X2) )
& member(sK13(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ? [X3] :
( ! [X4] :
( ~ apply(X0,X4,X3)
| ~ member(X4,X2) )
& member(X3,X1) )
| surjective(X0,X2,X1) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
! [X2,X1,X0] :
( ? [X3] :
( ! [X4] :
( ~ apply(X2,X4,X3)
| ~ member(X4,X0) )
& member(X3,X1) )
| surjective(X2,X0,X1) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X2,X1] :
( ! [X3] :
( member(X3,X1)
=> ? [X4] :
( member(X4,X0)
& apply(X2,X4,X3) ) )
=> surjective(X2,X0,X1) ),
inference(unused_predicate_definition_removal,[],[f57]) ).
fof(f57,plain,
! [X0,X2,X1] :
( surjective(X2,X0,X1)
<=> ! [X3] :
( member(X3,X1)
=> ? [X4] :
( member(X4,X0)
& apply(X2,X4,X3) ) ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X0,X1,X5] :
( surjective(X5,X0,X1)
<=> ! [X4] :
( member(X4,X1)
=> ? [X3] :
( apply(X5,X3,X4)
& member(X3,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',surjective) ).
fof(f1668,plain,
( ~ member(sK13(sK4,sK1,sK0),sK1)
| spl18_79 ),
inference(avatar_component_clause,[],[f1666]) ).
fof(f1698,plain,
( spl18_84
| ~ spl18_85
| ~ spl18_82 ),
inference(avatar_split_clause,[],[f1689,f1680,f1695,f1691]) ).
fof(f1691,plain,
( spl18_84
<=> one_to_one(sK4,product(empty_set),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_84])]) ).
fof(f1695,plain,
( spl18_85
<=> injective(sK4,product(empty_set),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_85])]) ).
fof(f1680,plain,
( spl18_82
<=> surjective(sK4,product(empty_set),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_82])]) ).
fof(f1689,plain,
( ~ injective(sK4,product(empty_set),sK1)
| one_to_one(sK4,product(empty_set),sK1)
| ~ spl18_82 ),
inference(resolution,[],[f1682,f190]) ).
fof(f1682,plain,
( surjective(sK4,product(empty_set),sK1)
| ~ spl18_82 ),
inference(avatar_component_clause,[],[f1680]) ).
fof(f1688,plain,
( spl18_83
| ~ spl18_3 ),
inference(avatar_split_clause,[],[f1643,f221,f1685]) ).
fof(f1643,plain,
( surjective(sK4,power_set(power_set(power_set(product(empty_set)))),sK1)
| ~ spl18_3 ),
inference(resolution,[],[f1329,f757]) ).
fof(f1329,plain,
( ! [X2] :
( ~ member(sK17(sK3,sK4,sK13(sK4,sK1,X2),sK13(sK4,sK1,X2),sK0),X2)
| surjective(sK4,X2,sK1) )
| ~ spl18_3 ),
inference(duplicate_literal_removal,[],[f1326]) ).
fof(f1326,plain,
( ! [X2] :
( surjective(sK4,X2,sK1)
| ~ member(sK17(sK3,sK4,sK13(sK4,sK1,X2),sK13(sK4,sK1,X2),sK0),X2)
| surjective(sK4,X2,sK1) )
| ~ spl18_3 ),
inference(resolution,[],[f831,f186]) ).
fof(f186,plain,
! [X2,X0,X1,X4] :
( ~ apply(X0,X4,sK13(X0,X1,X2))
| surjective(X0,X2,X1)
| ~ member(X4,X2) ),
inference(cnf_transformation,[],[f120]) ).
fof(f831,plain,
( ! [X0,X1] :
( apply(sK4,sK17(sK3,sK4,sK13(X0,sK1,X1),sK13(X0,sK1,X1),sK0),sK13(X0,sK1,X1))
| surjective(X0,X1,sK1) )
| ~ spl18_3 ),
inference(duplicate_literal_removal,[],[f830]) ).
fof(f830,plain,
( ! [X0,X1] :
( surjective(X0,X1,sK1)
| surjective(X0,X1,sK1)
| apply(sK4,sK17(sK3,sK4,sK13(X0,sK1,X1),sK13(X0,sK1,X1),sK0),sK13(X0,sK1,X1)) )
| ~ spl18_3 ),
inference(resolution,[],[f405,f185]) ).
fof(f405,plain,
( ! [X2,X3] :
( ~ member(sK13(X2,sK1,X3),sK1)
| apply(sK4,sK17(sK3,sK4,sK13(X2,sK1,X3),sK13(X2,sK1,X3),sK0),sK13(X2,sK1,X3))
| surjective(X2,X3,sK1) )
| ~ spl18_3 ),
inference(duplicate_literal_removal,[],[f400]) ).
fof(f400,plain,
( ! [X2,X3] :
( apply(sK4,sK17(sK3,sK4,sK13(X2,sK1,X3),sK13(X2,sK1,X3),sK0),sK13(X2,sK1,X3))
| ~ member(sK13(X2,sK1,X3),sK1)
| ~ member(sK13(X2,sK1,X3),sK1)
| surjective(X2,X3,sK1) )
| ~ spl18_3 ),
inference(resolution,[],[f306,f205]) ).
fof(f306,plain,
( ! [X12,X13] :
( apply(compose_function(sK4,sK3,sK1,sK0,sK1),sK13(X12,sK1,X13),sK13(X12,sK1,X13))
| surjective(X12,X13,sK1) )
| ~ spl18_3 ),
inference(resolution,[],[f185,f241]) ).
fof(f1683,plain,
( spl18_82
| ~ spl18_3 ),
inference(avatar_split_clause,[],[f1648,f221,f1680]) ).
fof(f1648,plain,
( surjective(sK4,product(empty_set),sK1)
| ~ spl18_3 ),
inference(resolution,[],[f1329,f538]) ).
fof(f1678,plain,
( spl18_81
| ~ spl18_3 ),
inference(avatar_split_clause,[],[f1645,f221,f1675]) ).
fof(f1645,plain,
( surjective(sK4,power_set(power_set(power_set(power_set(power_set(product(empty_set)))))),sK1)
| ~ spl18_3 ),
inference(resolution,[],[f1329,f959]) ).
fof(f1673,plain,
( ~ spl18_79
| spl18_80
| ~ spl18_3 ),
inference(avatar_split_clause,[],[f1649,f221,f1670,f1666]) ).
fof(f1649,plain,
( surjective(sK4,sK0,sK1)
| ~ member(sK13(sK4,sK1,sK0),sK1)
| ~ spl18_3 ),
inference(duplicate_literal_removal,[],[f1640]) ).
fof(f1640,plain,
( surjective(sK4,sK0,sK1)
| ~ member(sK13(sK4,sK1,sK0),sK1)
| surjective(sK4,sK0,sK1)
| ~ spl18_3 ),
inference(resolution,[],[f1329,f407]) ).
fof(f407,plain,
( ! [X4,X5] :
( member(sK17(sK3,sK4,sK13(X4,sK1,X5),sK13(X4,sK1,X5),sK0),sK0)
| surjective(X4,X5,sK1)
| ~ member(sK13(X4,sK1,X5),sK1) )
| ~ spl18_3 ),
inference(duplicate_literal_removal,[],[f401]) ).
fof(f401,plain,
( ! [X4,X5] :
( ~ member(sK13(X4,sK1,X5),sK1)
| ~ member(sK13(X4,sK1,X5),sK1)
| member(sK17(sK3,sK4,sK13(X4,sK1,X5),sK13(X4,sK1,X5),sK0),sK0)
| surjective(X4,X5,sK1) )
| ~ spl18_3 ),
inference(resolution,[],[f306,f204]) ).
fof(f1664,plain,
( spl18_78
| ~ spl18_3 ),
inference(avatar_split_clause,[],[f1644,f221,f1661]) ).
fof(f1644,plain,
( surjective(sK4,power_set(power_set(power_set(power_set(product(empty_set))))),sK1)
| ~ spl18_3 ),
inference(resolution,[],[f1329,f838]) ).
fof(f1659,plain,
( spl18_77
| ~ spl18_3 ),
inference(avatar_split_clause,[],[f1641,f221,f1656]) ).
fof(f1641,plain,
( surjective(sK4,power_set(product(empty_set)),sK1)
| ~ spl18_3 ),
inference(resolution,[],[f1329,f563]) ).
fof(f1654,plain,
( spl18_76
| ~ spl18_3 ),
inference(avatar_split_clause,[],[f1642,f221,f1651]) ).
fof(f1642,plain,
( surjective(sK4,power_set(power_set(product(empty_set))),sK1)
| ~ spl18_3 ),
inference(resolution,[],[f1329,f673]) ).
fof(f1609,plain,
( spl18_74
| ~ spl18_75
| ~ spl18_52 ),
inference(avatar_split_clause,[],[f1600,f1303,f1606,f1602]) ).
fof(f1602,plain,
( spl18_74
<=> one_to_one(sK2,power_set(power_set(power_set(power_set(power_set(product(empty_set)))))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_74])]) ).
fof(f1606,plain,
( spl18_75
<=> injective(sK2,power_set(power_set(power_set(power_set(power_set(product(empty_set)))))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_75])]) ).
fof(f1303,plain,
( spl18_52
<=> surjective(sK2,power_set(power_set(power_set(power_set(power_set(product(empty_set)))))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_52])]) ).
fof(f1600,plain,
( ~ injective(sK2,power_set(power_set(power_set(power_set(power_set(product(empty_set)))))),sK0)
| one_to_one(sK2,power_set(power_set(power_set(power_set(power_set(product(empty_set)))))),sK0)
| ~ spl18_52 ),
inference(resolution,[],[f1305,f190]) ).
fof(f1305,plain,
( surjective(sK2,power_set(power_set(power_set(power_set(power_set(product(empty_set)))))),sK0)
| ~ spl18_52 ),
inference(avatar_component_clause,[],[f1303]) ).
fof(f1599,plain,
( ~ spl18_72
| spl18_73
| ~ spl18_50 ),
inference(avatar_split_clause,[],[f1590,f1293,f1596,f1592]) ).
fof(f1592,plain,
( spl18_72
<=> injective(sK2,power_set(power_set(power_set(power_set(product(empty_set))))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_72])]) ).
fof(f1596,plain,
( spl18_73
<=> one_to_one(sK2,power_set(power_set(power_set(power_set(product(empty_set))))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_73])]) ).
fof(f1293,plain,
( spl18_50
<=> surjective(sK2,power_set(power_set(power_set(power_set(product(empty_set))))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_50])]) ).
fof(f1590,plain,
( one_to_one(sK2,power_set(power_set(power_set(power_set(product(empty_set))))),sK0)
| ~ injective(sK2,power_set(power_set(power_set(power_set(product(empty_set))))),sK0)
| ~ spl18_50 ),
inference(resolution,[],[f1295,f190]) ).
fof(f1295,plain,
( surjective(sK2,power_set(power_set(power_set(power_set(product(empty_set))))),sK0)
| ~ spl18_50 ),
inference(avatar_component_clause,[],[f1293]) ).
fof(f1574,plain,
( ~ spl18_70
| spl18_71
| ~ spl18_55 ),
inference(avatar_split_clause,[],[f1565,f1318,f1571,f1567]) ).
fof(f1567,plain,
( spl18_70
<=> injective(sK2,power_set(power_set(power_set(product(empty_set)))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_70])]) ).
fof(f1571,plain,
( spl18_71
<=> one_to_one(sK2,power_set(power_set(power_set(product(empty_set)))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_71])]) ).
fof(f1318,plain,
( spl18_55
<=> surjective(sK2,power_set(power_set(power_set(product(empty_set)))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_55])]) ).
fof(f1565,plain,
( one_to_one(sK2,power_set(power_set(power_set(product(empty_set)))),sK0)
| ~ injective(sK2,power_set(power_set(power_set(product(empty_set)))),sK0)
| ~ spl18_55 ),
inference(resolution,[],[f1320,f190]) ).
fof(f1320,plain,
( surjective(sK2,power_set(power_set(power_set(product(empty_set)))),sK0)
| ~ spl18_55 ),
inference(avatar_component_clause,[],[f1318]) ).
fof(f1533,plain,
( ~ spl18_68
| spl18_69
| ~ spl18_49 ),
inference(avatar_split_clause,[],[f1524,f1288,f1530,f1526]) ).
fof(f1526,plain,
( spl18_68
<=> injective(sK2,power_set(power_set(product(empty_set))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_68])]) ).
fof(f1530,plain,
( spl18_69
<=> one_to_one(sK2,power_set(power_set(product(empty_set))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_69])]) ).
fof(f1288,plain,
( spl18_49
<=> surjective(sK2,power_set(power_set(product(empty_set))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_49])]) ).
fof(f1524,plain,
( one_to_one(sK2,power_set(power_set(product(empty_set))),sK0)
| ~ injective(sK2,power_set(power_set(product(empty_set))),sK0)
| ~ spl18_49 ),
inference(resolution,[],[f1290,f190]) ).
fof(f1290,plain,
( surjective(sK2,power_set(power_set(product(empty_set))),sK0)
| ~ spl18_49 ),
inference(avatar_component_clause,[],[f1288]) ).
fof(f1475,plain,
( ~ spl18_66
| spl18_67
| ~ spl18_51 ),
inference(avatar_split_clause,[],[f1466,f1298,f1472,f1468]) ).
fof(f1468,plain,
( spl18_66
<=> injective(sK2,power_set(product(empty_set)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_66])]) ).
fof(f1472,plain,
( spl18_67
<=> one_to_one(sK2,power_set(product(empty_set)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_67])]) ).
fof(f1298,plain,
( spl18_51
<=> surjective(sK2,power_set(product(empty_set)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_51])]) ).
fof(f1466,plain,
( one_to_one(sK2,power_set(product(empty_set)),sK0)
| ~ injective(sK2,power_set(product(empty_set)),sK0)
| ~ spl18_51 ),
inference(resolution,[],[f1300,f190]) ).
fof(f1300,plain,
( surjective(sK2,power_set(product(empty_set)),sK0)
| ~ spl18_51 ),
inference(avatar_component_clause,[],[f1298]) ).
fof(f1422,plain,
( spl18_64
| ~ spl18_65
| ~ spl18_53 ),
inference(avatar_split_clause,[],[f1413,f1308,f1419,f1415]) ).
fof(f1415,plain,
( spl18_64
<=> one_to_one(sK2,product(empty_set),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_64])]) ).
fof(f1419,plain,
( spl18_65
<=> injective(sK2,product(empty_set),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_65])]) ).
fof(f1308,plain,
( spl18_53
<=> surjective(sK2,product(empty_set),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_53])]) ).
fof(f1413,plain,
( ~ injective(sK2,product(empty_set),sK0)
| one_to_one(sK2,product(empty_set),sK0)
| ~ spl18_53 ),
inference(resolution,[],[f1310,f190]) ).
fof(f1310,plain,
( surjective(sK2,product(empty_set),sK0)
| ~ spl18_53 ),
inference(avatar_component_clause,[],[f1308]) ).
fof(f1378,plain,
( spl18_61
| spl18_63
| ~ spl18_6 ),
inference(avatar_split_clause,[],[f1374,f236,f1376,f1359]) ).
fof(f1359,plain,
( spl18_61
<=> injective(sK2,sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_61])]) ).
fof(f1376,plain,
( spl18_63
<=> ! [X0] :
( sK8(sK1,sK2,sK0) = X0
| ~ member(X0,sK0)
| ~ apply(sK2,sK7(sK1,sK2,sK0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_63])]) ).
fof(f1374,plain,
( ! [X0] :
( sK8(sK1,sK2,sK0) = X0
| ~ apply(sK2,sK7(sK1,sK2,sK0),X0)
| ~ member(X0,sK0)
| injective(sK2,sK1,sK0) )
| ~ spl18_6 ),
inference(duplicate_literal_removal,[],[f1373]) ).
fof(f1373,plain,
( ! [X0] :
( ~ member(X0,sK0)
| injective(sK2,sK1,sK0)
| sK8(sK1,sK2,sK0) = X0
| ~ apply(sK2,sK7(sK1,sK2,sK0),X0)
| injective(sK2,sK1,sK0) )
| ~ spl18_6 ),
inference(resolution,[],[f872,f156]) ).
fof(f872,plain,
( ! [X0,X1] :
( ~ member(sK7(X0,sK2,sK0),sK1)
| sK8(X0,sK2,sK0) = X1
| ~ member(X1,sK0)
| ~ apply(sK2,sK7(X0,sK2,sK0),X1)
| injective(sK2,X0,sK0) )
| ~ spl18_6 ),
inference(duplicate_literal_removal,[],[f871]) ).
fof(f871,plain,
( ! [X0,X1] :
( injective(sK2,X0,sK0)
| ~ member(sK7(X0,sK2,sK0),sK1)
| ~ apply(sK2,sK7(X0,sK2,sK0),X1)
| sK8(X0,sK2,sK0) = X1
| injective(sK2,X0,sK0)
| ~ member(X1,sK0) )
| ~ spl18_6 ),
inference(resolution,[],[f499,f158]) ).
fof(f499,plain,
( ! [X8,X6,X7] :
( ~ member(sK8(X6,sK2,X7),sK0)
| injective(sK2,X6,X7)
| sK8(X6,sK2,X7) = X8
| ~ apply(sK2,sK7(X6,sK2,X7),X8)
| ~ member(X8,sK0)
| ~ member(sK7(X6,sK2,X7),sK1) )
| ~ spl18_6 ),
inference(resolution,[],[f332,f238]) ).
fof(f1370,plain,
( ~ spl18_61
| spl18_62
| ~ spl18_54 ),
inference(avatar_split_clause,[],[f1365,f1313,f1367,f1359]) ).
fof(f1367,plain,
( spl18_62
<=> one_to_one(sK2,sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_62])]) ).
fof(f1313,plain,
( spl18_54
<=> surjective(sK2,sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_54])]) ).
fof(f1365,plain,
( one_to_one(sK2,sK1,sK0)
| ~ injective(sK2,sK1,sK0)
| ~ spl18_54 ),
inference(resolution,[],[f1315,f190]) ).
fof(f1315,plain,
( surjective(sK2,sK1,sK0)
| ~ spl18_54 ),
inference(avatar_component_clause,[],[f1313]) ).
fof(f1362,plain,
( spl18_60
| spl18_61
| ~ spl18_6 ),
inference(avatar_split_clause,[],[f1354,f236,f1359,f1356]) ).
fof(f1356,plain,
( spl18_60
<=> ! [X0] :
( sK8(sK1,sK2,sK0) = X0
| ~ apply(sK2,sK6(sK1,sK2,sK0),X0)
| ~ member(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_60])]) ).
fof(f1354,plain,
( ! [X0] :
( injective(sK2,sK1,sK0)
| sK8(sK1,sK2,sK0) = X0
| ~ member(X0,sK0)
| ~ apply(sK2,sK6(sK1,sK2,sK0),X0) )
| ~ spl18_6 ),
inference(duplicate_literal_removal,[],[f1353]) ).
fof(f1353,plain,
( ! [X0] :
( ~ member(X0,sK0)
| sK8(sK1,sK2,sK0) = X0
| injective(sK2,sK1,sK0)
| ~ apply(sK2,sK6(sK1,sK2,sK0),X0)
| injective(sK2,sK1,sK0) )
| ~ spl18_6 ),
inference(resolution,[],[f860,f157]) ).
fof(f860,plain,
( ! [X0,X1] :
( ~ member(sK6(X0,sK2,sK0),sK1)
| sK8(X0,sK2,sK0) = X1
| ~ apply(sK2,sK6(X0,sK2,sK0),X1)
| ~ member(X1,sK0)
| injective(sK2,X0,sK0) )
| ~ spl18_6 ),
inference(duplicate_literal_removal,[],[f859]) ).
fof(f859,plain,
( ! [X0,X1] :
( ~ member(X1,sK0)
| injective(sK2,X0,sK0)
| ~ apply(sK2,sK6(X0,sK2,sK0),X1)
| injective(sK2,X0,sK0)
| sK8(X0,sK2,sK0) = X1
| ~ member(sK6(X0,sK2,sK0),sK1) )
| ~ spl18_6 ),
inference(resolution,[],[f486,f158]) ).
fof(f486,plain,
( ! [X8,X6,X7] :
( ~ member(sK8(X6,sK2,X7),sK0)
| injective(sK2,X6,X7)
| ~ member(sK6(X6,sK2,X7),sK1)
| ~ member(X8,sK0)
| sK8(X6,sK2,X7) = X8
| ~ apply(sK2,sK6(X6,sK2,X7),X8) )
| ~ spl18_6 ),
inference(resolution,[],[f319,f238]) ).
fof(f319,plain,
! [X31,X29,X34,X32,X30,X33] :
( ~ maps(X29,X34,X33)
| sK8(X30,X29,X31) = X32
| ~ member(X32,X33)
| ~ member(sK6(X30,X29,X31),X34)
| ~ member(sK8(X30,X29,X31),X33)
| injective(X29,X30,X31)
| ~ apply(X29,sK6(X30,X29,X31),X32) ),
inference(resolution,[],[f154,f165]) ).
fof(f1352,plain,
( spl18_58
| spl18_59
| ~ spl18_5 ),
inference(avatar_split_clause,[],[f1344,f231,f1350,f1346]) ).
fof(f1344,plain,
( ! [X0] :
( ~ member(X0,sK1)
| ~ apply(sK4,sK6(sK0,sK4,sK1),X0)
| sK8(sK0,sK4,sK1) = X0
| injective(sK4,sK0,sK1) )
| ~ spl18_5 ),
inference(duplicate_literal_removal,[],[f1343]) ).
fof(f1343,plain,
( ! [X0] :
( sK8(sK0,sK4,sK1) = X0
| ~ member(X0,sK1)
| injective(sK4,sK0,sK1)
| injective(sK4,sK0,sK1)
| ~ apply(sK4,sK6(sK0,sK4,sK1),X0) )
| ~ spl18_5 ),
inference(resolution,[],[f837,f157]) ).
fof(f837,plain,
( ! [X0,X1] :
( ~ member(sK6(X1,sK4,sK1),sK0)
| ~ apply(sK4,sK6(X1,sK4,sK1),X0)
| injective(sK4,X1,sK1)
| ~ member(X0,sK1)
| sK8(X1,sK4,sK1) = X0 )
| ~ spl18_5 ),
inference(duplicate_literal_removal,[],[f836]) ).
fof(f836,plain,
( ! [X0,X1] :
( injective(sK4,X1,sK1)
| ~ apply(sK4,sK6(X1,sK4,sK1),X0)
| injective(sK4,X1,sK1)
| sK8(X1,sK4,sK1) = X0
| ~ member(X0,sK1)
| ~ member(sK6(X1,sK4,sK1),sK0) )
| ~ spl18_5 ),
inference(resolution,[],[f485,f158]) ).
fof(f485,plain,
( ! [X3,X4,X5] :
( ~ member(sK8(X3,sK4,X4),sK1)
| ~ member(X5,sK1)
| injective(sK4,X3,X4)
| sK8(X3,sK4,X4) = X5
| ~ member(sK6(X3,sK4,X4),sK0)
| ~ apply(sK4,sK6(X3,sK4,X4),X5) )
| ~ spl18_5 ),
inference(resolution,[],[f319,f233]) ).
fof(f1342,plain,
( spl18_56
| spl18_57
| ~ spl18_4 ),
inference(avatar_split_clause,[],[f1334,f226,f1340,f1336]) ).
fof(f1336,plain,
( spl18_56
<=> injective(sK3,sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_56])]) ).
fof(f1340,plain,
( spl18_57
<=> ! [X0] :
( ~ member(X0,sK0)
| ~ apply(sK3,sK6(sK1,sK3,sK0),X0)
| sK8(sK1,sK3,sK0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_57])]) ).
fof(f1334,plain,
( ! [X0] :
( ~ member(X0,sK0)
| sK8(sK1,sK3,sK0) = X0
| injective(sK3,sK1,sK0)
| ~ apply(sK3,sK6(sK1,sK3,sK0),X0) )
| ~ spl18_4 ),
inference(duplicate_literal_removal,[],[f1333]) ).
fof(f1333,plain,
( ! [X0] :
( ~ apply(sK3,sK6(sK1,sK3,sK0),X0)
| injective(sK3,sK1,sK0)
| injective(sK3,sK1,sK0)
| sK8(sK1,sK3,sK0) = X0
| ~ member(X0,sK0) )
| ~ spl18_4 ),
inference(resolution,[],[f835,f157]) ).
fof(f835,plain,
( ! [X0,X1] :
( ~ member(sK6(X1,sK3,sK0),sK1)
| ~ member(X0,sK0)
| sK8(X1,sK3,sK0) = X0
| injective(sK3,X1,sK0)
| ~ apply(sK3,sK6(X1,sK3,sK0),X0) )
| ~ spl18_4 ),
inference(duplicate_literal_removal,[],[f834]) ).
fof(f834,plain,
( ! [X0,X1] :
( ~ member(sK6(X1,sK3,sK0),sK1)
| injective(sK3,X1,sK0)
| injective(sK3,X1,sK0)
| ~ apply(sK3,sK6(X1,sK3,sK0),X0)
| ~ member(X0,sK0)
| sK8(X1,sK3,sK0) = X0 )
| ~ spl18_4 ),
inference(resolution,[],[f484,f158]) ).
fof(f484,plain,
( ! [X2,X0,X1] :
( ~ member(sK8(X0,sK3,X1),sK0)
| ~ member(X2,sK0)
| ~ member(sK6(X0,sK3,X1),sK1)
| ~ apply(sK3,sK6(X0,sK3,X1),X2)
| sK8(X0,sK3,X1) = X2
| injective(sK3,X0,X1) )
| ~ spl18_4 ),
inference(resolution,[],[f319,f228]) ).
fof(f1321,plain,
( spl18_55
| ~ spl18_2 ),
inference(avatar_split_clause,[],[f1280,f216,f1318]) ).
fof(f1280,plain,
( surjective(sK2,power_set(power_set(power_set(product(empty_set)))),sK0)
| ~ spl18_2 ),
inference(resolution,[],[f1276,f757]) ).
fof(f1276,plain,
( ! [X2] :
( ~ member(sK17(sK4,sK2,sK13(sK2,sK0,X2),sK13(sK2,sK0,X2),sK1),X2)
| surjective(sK2,X2,sK0) )
| ~ spl18_2 ),
inference(duplicate_literal_removal,[],[f1273]) ).
fof(f1273,plain,
( ! [X2] :
( surjective(sK2,X2,sK0)
| ~ member(sK17(sK4,sK2,sK13(sK2,sK0,X2),sK13(sK2,sK0,X2),sK1),X2)
| surjective(sK2,X2,sK0) )
| ~ spl18_2 ),
inference(resolution,[],[f827,f186]) ).
fof(f827,plain,
( ! [X0,X1] :
( apply(sK2,sK17(sK4,sK2,sK13(X0,sK0,X1),sK13(X0,sK0,X1),sK1),sK13(X0,sK0,X1))
| surjective(X0,X1,sK0) )
| ~ spl18_2 ),
inference(duplicate_literal_removal,[],[f826]) ).
fof(f826,plain,
( ! [X0,X1] :
( apply(sK2,sK17(sK4,sK2,sK13(X0,sK0,X1),sK13(X0,sK0,X1),sK1),sK13(X0,sK0,X1))
| surjective(X0,X1,sK0)
| surjective(X0,X1,sK0) )
| ~ spl18_2 ),
inference(resolution,[],[f395,f185]) ).
fof(f395,plain,
( ! [X2,X3] :
( ~ member(sK13(X2,sK0,X3),sK0)
| apply(sK2,sK17(sK4,sK2,sK13(X2,sK0,X3),sK13(X2,sK0,X3),sK1),sK13(X2,sK0,X3))
| surjective(X2,X3,sK0) )
| ~ spl18_2 ),
inference(duplicate_literal_removal,[],[f390]) ).
fof(f390,plain,
( ! [X2,X3] :
( ~ member(sK13(X2,sK0,X3),sK0)
| apply(sK2,sK17(sK4,sK2,sK13(X2,sK0,X3),sK13(X2,sK0,X3),sK1),sK13(X2,sK0,X3))
| ~ member(sK13(X2,sK0,X3),sK0)
| surjective(X2,X3,sK0) )
| ~ spl18_2 ),
inference(resolution,[],[f304,f205]) ).
fof(f304,plain,
( ! [X8,X9] :
( apply(compose_function(sK2,sK4,sK0,sK1,sK0),sK13(X8,sK0,X9),sK13(X8,sK0,X9))
| surjective(X8,X9,sK0) )
| ~ spl18_2 ),
inference(resolution,[],[f185,f240]) ).
fof(f1316,plain,
( spl18_54
| ~ spl18_2 ),
inference(avatar_split_clause,[],[f1286,f216,f1313]) ).
fof(f1286,plain,
( surjective(sK2,sK1,sK0)
| ~ spl18_2 ),
inference(duplicate_literal_removal,[],[f1277]) ).
fof(f1277,plain,
( surjective(sK2,sK1,sK0)
| surjective(sK2,sK1,sK0)
| ~ spl18_2 ),
inference(resolution,[],[f1276,f662]) ).
fof(f662,plain,
( ! [X0,X1] :
( member(sK17(sK4,sK2,sK13(X0,sK0,X1),sK13(X0,sK0,X1),sK1),sK1)
| surjective(X0,X1,sK0) )
| ~ spl18_2 ),
inference(duplicate_literal_removal,[],[f661]) ).
fof(f661,plain,
( ! [X0,X1] :
( member(sK17(sK4,sK2,sK13(X0,sK0,X1),sK13(X0,sK0,X1),sK1),sK1)
| surjective(X0,X1,sK0)
| surjective(X0,X1,sK0) )
| ~ spl18_2 ),
inference(resolution,[],[f397,f185]) ).
fof(f397,plain,
( ! [X4,X5] :
( ~ member(sK13(X4,sK0,X5),sK0)
| surjective(X4,X5,sK0)
| member(sK17(sK4,sK2,sK13(X4,sK0,X5),sK13(X4,sK0,X5),sK1),sK1) )
| ~ spl18_2 ),
inference(duplicate_literal_removal,[],[f391]) ).
fof(f391,plain,
( ! [X4,X5] :
( surjective(X4,X5,sK0)
| ~ member(sK13(X4,sK0,X5),sK0)
| member(sK17(sK4,sK2,sK13(X4,sK0,X5),sK13(X4,sK0,X5),sK1),sK1)
| ~ member(sK13(X4,sK0,X5),sK0) )
| ~ spl18_2 ),
inference(resolution,[],[f304,f204]) ).
fof(f1311,plain,
( spl18_53
| ~ spl18_2 ),
inference(avatar_split_clause,[],[f1285,f216,f1308]) ).
fof(f1285,plain,
( surjective(sK2,product(empty_set),sK0)
| ~ spl18_2 ),
inference(resolution,[],[f1276,f538]) ).
fof(f1306,plain,
( spl18_52
| ~ spl18_2 ),
inference(avatar_split_clause,[],[f1282,f216,f1303]) ).
fof(f1282,plain,
( surjective(sK2,power_set(power_set(power_set(power_set(power_set(product(empty_set)))))),sK0)
| ~ spl18_2 ),
inference(resolution,[],[f1276,f959]) ).
fof(f1301,plain,
( spl18_51
| ~ spl18_2 ),
inference(avatar_split_clause,[],[f1278,f216,f1298]) ).
fof(f1278,plain,
( surjective(sK2,power_set(product(empty_set)),sK0)
| ~ spl18_2 ),
inference(resolution,[],[f1276,f563]) ).
fof(f1296,plain,
( spl18_50
| ~ spl18_2 ),
inference(avatar_split_clause,[],[f1281,f216,f1293]) ).
fof(f1281,plain,
( surjective(sK2,power_set(power_set(power_set(power_set(product(empty_set))))),sK0)
| ~ spl18_2 ),
inference(resolution,[],[f1276,f838]) ).
fof(f1291,plain,
( spl18_49
| ~ spl18_2 ),
inference(avatar_split_clause,[],[f1279,f216,f1288]) ).
fof(f1279,plain,
( surjective(sK2,power_set(power_set(product(empty_set))),sK0)
| ~ spl18_2 ),
inference(resolution,[],[f1276,f673]) ).
fof(f1102,plain,
( spl18_47
| ~ spl18_48
| ~ spl18_44 ),
inference(avatar_split_clause,[],[f1093,f1079,f1099,f1095]) ).
fof(f1095,plain,
( spl18_47
<=> one_to_one(compose_function(sK2,sK4,sK0,sK1,sK0),power_set(power_set(power_set(power_set(power_set(product(empty_set)))))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_47])]) ).
fof(f1099,plain,
( spl18_48
<=> injective(compose_function(sK2,sK4,sK0,sK1,sK0),power_set(power_set(power_set(power_set(power_set(product(empty_set)))))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_48])]) ).
fof(f1079,plain,
( spl18_44
<=> surjective(compose_function(sK2,sK4,sK0,sK1,sK0),power_set(power_set(power_set(power_set(power_set(product(empty_set)))))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_44])]) ).
fof(f1093,plain,
( ~ injective(compose_function(sK2,sK4,sK0,sK1,sK0),power_set(power_set(power_set(power_set(power_set(product(empty_set)))))),sK0)
| one_to_one(compose_function(sK2,sK4,sK0,sK1,sK0),power_set(power_set(power_set(power_set(power_set(product(empty_set)))))),sK0)
| ~ spl18_44 ),
inference(resolution,[],[f1081,f190]) ).
fof(f1081,plain,
( surjective(compose_function(sK2,sK4,sK0,sK1,sK0),power_set(power_set(power_set(power_set(power_set(product(empty_set)))))),sK0)
| ~ spl18_44 ),
inference(avatar_component_clause,[],[f1079]) ).
fof(f1092,plain,
( ~ spl18_45
| spl18_46
| ~ spl18_43 ),
inference(avatar_split_clause,[],[f1083,f1074,f1089,f1085]) ).
fof(f1085,plain,
( spl18_45
<=> injective(compose_function(sK4,sK3,sK1,sK0,sK1),power_set(power_set(power_set(power_set(power_set(product(empty_set)))))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_45])]) ).
fof(f1089,plain,
( spl18_46
<=> one_to_one(compose_function(sK4,sK3,sK1,sK0,sK1),power_set(power_set(power_set(power_set(power_set(product(empty_set)))))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_46])]) ).
fof(f1074,plain,
( spl18_43
<=> surjective(compose_function(sK4,sK3,sK1,sK0,sK1),power_set(power_set(power_set(power_set(power_set(product(empty_set)))))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_43])]) ).
fof(f1083,plain,
( one_to_one(compose_function(sK4,sK3,sK1,sK0,sK1),power_set(power_set(power_set(power_set(power_set(product(empty_set)))))),sK1)
| ~ injective(compose_function(sK4,sK3,sK1,sK0,sK1),power_set(power_set(power_set(power_set(power_set(product(empty_set)))))),sK1)
| ~ spl18_43 ),
inference(resolution,[],[f1076,f190]) ).
fof(f1076,plain,
( surjective(compose_function(sK4,sK3,sK1,sK0,sK1),power_set(power_set(power_set(power_set(power_set(product(empty_set)))))),sK1)
| ~ spl18_43 ),
inference(avatar_component_clause,[],[f1074]) ).
fof(f1082,plain,
( spl18_44
| ~ spl18_2 ),
inference(avatar_split_clause,[],[f1071,f216,f1079]) ).
fof(f1071,plain,
( surjective(compose_function(sK2,sK4,sK0,sK1,sK0),power_set(power_set(power_set(power_set(power_set(product(empty_set)))))),sK0)
| ~ spl18_2 ),
inference(resolution,[],[f959,f396]) ).
fof(f396,plain,
( ! [X6] :
( ~ member(sK13(compose_function(sK2,sK4,sK0,sK1,sK0),sK0,X6),X6)
| surjective(compose_function(sK2,sK4,sK0,sK1,sK0),X6,sK0) )
| ~ spl18_2 ),
inference(duplicate_literal_removal,[],[f392]) ).
fof(f392,plain,
( ! [X6] :
( surjective(compose_function(sK2,sK4,sK0,sK1,sK0),X6,sK0)
| surjective(compose_function(sK2,sK4,sK0,sK1,sK0),X6,sK0)
| ~ member(sK13(compose_function(sK2,sK4,sK0,sK1,sK0),sK0,X6),X6) )
| ~ spl18_2 ),
inference(resolution,[],[f304,f186]) ).
fof(f1077,plain,
( spl18_43
| ~ spl18_3 ),
inference(avatar_split_clause,[],[f1072,f221,f1074]) ).
fof(f1072,plain,
( surjective(compose_function(sK4,sK3,sK1,sK0,sK1),power_set(power_set(power_set(power_set(power_set(product(empty_set)))))),sK1)
| ~ spl18_3 ),
inference(resolution,[],[f959,f408]) ).
fof(f408,plain,
( ! [X6] :
( ~ member(sK13(compose_function(sK4,sK3,sK1,sK0,sK1),sK1,X6),X6)
| surjective(compose_function(sK4,sK3,sK1,sK0,sK1),X6,sK1) )
| ~ spl18_3 ),
inference(duplicate_literal_removal,[],[f402]) ).
fof(f402,plain,
( ! [X6] :
( ~ member(sK13(compose_function(sK4,sK3,sK1,sK0,sK1),sK1,X6),X6)
| surjective(compose_function(sK4,sK3,sK1,sK0,sK1),X6,sK1)
| surjective(compose_function(sK4,sK3,sK1,sK0,sK1),X6,sK1) )
| ~ spl18_3 ),
inference(resolution,[],[f306,f186]) ).
fof(f945,plain,
( spl18_41
| ~ spl18_42
| ~ spl18_38 ),
inference(avatar_split_clause,[],[f936,f915,f942,f938]) ).
fof(f938,plain,
( spl18_41
<=> one_to_one(compose_function(sK4,sK3,sK1,sK0,sK1),power_set(power_set(power_set(power_set(product(empty_set))))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_41])]) ).
fof(f942,plain,
( spl18_42
<=> injective(compose_function(sK4,sK3,sK1,sK0,sK1),power_set(power_set(power_set(power_set(product(empty_set))))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_42])]) ).
fof(f915,plain,
( spl18_38
<=> surjective(compose_function(sK4,sK3,sK1,sK0,sK1),power_set(power_set(power_set(power_set(product(empty_set))))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_38])]) ).
fof(f936,plain,
( ~ injective(compose_function(sK4,sK3,sK1,sK0,sK1),power_set(power_set(power_set(power_set(product(empty_set))))),sK1)
| one_to_one(compose_function(sK4,sK3,sK1,sK0,sK1),power_set(power_set(power_set(power_set(product(empty_set))))),sK1)
| ~ spl18_38 ),
inference(resolution,[],[f917,f190]) ).
fof(f917,plain,
( surjective(compose_function(sK4,sK3,sK1,sK0,sK1),power_set(power_set(power_set(power_set(product(empty_set))))),sK1)
| ~ spl18_38 ),
inference(avatar_component_clause,[],[f915]) ).
fof(f928,plain,
( ~ spl18_39
| spl18_40
| ~ spl18_37 ),
inference(avatar_split_clause,[],[f919,f910,f925,f921]) ).
fof(f921,plain,
( spl18_39
<=> injective(compose_function(sK2,sK4,sK0,sK1,sK0),power_set(power_set(power_set(power_set(product(empty_set))))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_39])]) ).
fof(f925,plain,
( spl18_40
<=> one_to_one(compose_function(sK2,sK4,sK0,sK1,sK0),power_set(power_set(power_set(power_set(product(empty_set))))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_40])]) ).
fof(f910,plain,
( spl18_37
<=> surjective(compose_function(sK2,sK4,sK0,sK1,sK0),power_set(power_set(power_set(power_set(product(empty_set))))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_37])]) ).
fof(f919,plain,
( one_to_one(compose_function(sK2,sK4,sK0,sK1,sK0),power_set(power_set(power_set(power_set(product(empty_set))))),sK0)
| ~ injective(compose_function(sK2,sK4,sK0,sK1,sK0),power_set(power_set(power_set(power_set(product(empty_set))))),sK0)
| ~ spl18_37 ),
inference(resolution,[],[f912,f190]) ).
fof(f912,plain,
( surjective(compose_function(sK2,sK4,sK0,sK1,sK0),power_set(power_set(power_set(power_set(product(empty_set))))),sK0)
| ~ spl18_37 ),
inference(avatar_component_clause,[],[f910]) ).
fof(f918,plain,
( spl18_38
| ~ spl18_3 ),
inference(avatar_split_clause,[],[f908,f221,f915]) ).
fof(f908,plain,
( surjective(compose_function(sK4,sK3,sK1,sK0,sK1),power_set(power_set(power_set(power_set(product(empty_set))))),sK1)
| ~ spl18_3 ),
inference(resolution,[],[f838,f408]) ).
fof(f913,plain,
( spl18_37
| ~ spl18_2 ),
inference(avatar_split_clause,[],[f907,f216,f910]) ).
fof(f907,plain,
( surjective(compose_function(sK2,sK4,sK0,sK1,sK0),power_set(power_set(power_set(power_set(product(empty_set))))),sK0)
| ~ spl18_2 ),
inference(resolution,[],[f838,f396]) ).
fof(f823,plain,
( spl18_35
| ~ spl18_36
| ~ spl18_32 ),
inference(avatar_split_clause,[],[f814,f798,f820,f816]) ).
fof(f816,plain,
( spl18_35
<=> one_to_one(compose_function(sK2,sK4,sK0,sK1,sK0),power_set(power_set(power_set(product(empty_set)))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_35])]) ).
fof(f820,plain,
( spl18_36
<=> injective(compose_function(sK2,sK4,sK0,sK1,sK0),power_set(power_set(power_set(product(empty_set)))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_36])]) ).
fof(f798,plain,
( spl18_32
<=> surjective(compose_function(sK2,sK4,sK0,sK1,sK0),power_set(power_set(power_set(product(empty_set)))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_32])]) ).
fof(f814,plain,
( ~ injective(compose_function(sK2,sK4,sK0,sK1,sK0),power_set(power_set(power_set(product(empty_set)))),sK0)
| one_to_one(compose_function(sK2,sK4,sK0,sK1,sK0),power_set(power_set(power_set(product(empty_set)))),sK0)
| ~ spl18_32 ),
inference(resolution,[],[f800,f190]) ).
fof(f800,plain,
( surjective(compose_function(sK2,sK4,sK0,sK1,sK0),power_set(power_set(power_set(product(empty_set)))),sK0)
| ~ spl18_32 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f811,plain,
( spl18_33
| ~ spl18_34
| ~ spl18_31 ),
inference(avatar_split_clause,[],[f802,f793,f808,f804]) ).
fof(f804,plain,
( spl18_33
<=> one_to_one(compose_function(sK4,sK3,sK1,sK0,sK1),power_set(power_set(power_set(product(empty_set)))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_33])]) ).
fof(f808,plain,
( spl18_34
<=> injective(compose_function(sK4,sK3,sK1,sK0,sK1),power_set(power_set(power_set(product(empty_set)))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_34])]) ).
fof(f793,plain,
( spl18_31
<=> surjective(compose_function(sK4,sK3,sK1,sK0,sK1),power_set(power_set(power_set(product(empty_set)))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_31])]) ).
fof(f802,plain,
( ~ injective(compose_function(sK4,sK3,sK1,sK0,sK1),power_set(power_set(power_set(product(empty_set)))),sK1)
| one_to_one(compose_function(sK4,sK3,sK1,sK0,sK1),power_set(power_set(power_set(product(empty_set)))),sK1)
| ~ spl18_31 ),
inference(resolution,[],[f795,f190]) ).
fof(f795,plain,
( surjective(compose_function(sK4,sK3,sK1,sK0,sK1),power_set(power_set(power_set(product(empty_set)))),sK1)
| ~ spl18_31 ),
inference(avatar_component_clause,[],[f793]) ).
fof(f801,plain,
( spl18_32
| ~ spl18_2 ),
inference(avatar_split_clause,[],[f790,f216,f798]) ).
fof(f790,plain,
( surjective(compose_function(sK2,sK4,sK0,sK1,sK0),power_set(power_set(power_set(product(empty_set)))),sK0)
| ~ spl18_2 ),
inference(resolution,[],[f757,f396]) ).
fof(f796,plain,
( spl18_31
| ~ spl18_3 ),
inference(avatar_split_clause,[],[f791,f221,f793]) ).
fof(f791,plain,
( surjective(compose_function(sK4,sK3,sK1,sK0,sK1),power_set(power_set(power_set(product(empty_set)))),sK1)
| ~ spl18_3 ),
inference(resolution,[],[f757,f408]) ).
fof(f742,plain,
( ~ spl18_29
| spl18_30
| ~ spl18_26 ),
inference(avatar_split_clause,[],[f733,f699,f739,f735]) ).
fof(f735,plain,
( spl18_29
<=> injective(compose_function(sK2,sK4,sK0,sK1,sK0),power_set(power_set(product(empty_set))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_29])]) ).
fof(f739,plain,
( spl18_30
<=> one_to_one(compose_function(sK2,sK4,sK0,sK1,sK0),power_set(power_set(product(empty_set))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_30])]) ).
fof(f699,plain,
( spl18_26
<=> surjective(compose_function(sK2,sK4,sK0,sK1,sK0),power_set(power_set(product(empty_set))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_26])]) ).
fof(f733,plain,
( one_to_one(compose_function(sK2,sK4,sK0,sK1,sK0),power_set(power_set(product(empty_set))),sK0)
| ~ injective(compose_function(sK2,sK4,sK0,sK1,sK0),power_set(power_set(product(empty_set))),sK0)
| ~ spl18_26 ),
inference(resolution,[],[f701,f190]) ).
fof(f701,plain,
( surjective(compose_function(sK2,sK4,sK0,sK1,sK0),power_set(power_set(product(empty_set))),sK0)
| ~ spl18_26 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f712,plain,
( spl18_27
| ~ spl18_28
| ~ spl18_25 ),
inference(avatar_split_clause,[],[f703,f694,f709,f705]) ).
fof(f705,plain,
( spl18_27
<=> one_to_one(compose_function(sK4,sK3,sK1,sK0,sK1),power_set(power_set(product(empty_set))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_27])]) ).
fof(f709,plain,
( spl18_28
<=> injective(compose_function(sK4,sK3,sK1,sK0,sK1),power_set(power_set(product(empty_set))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_28])]) ).
fof(f694,plain,
( spl18_25
<=> surjective(compose_function(sK4,sK3,sK1,sK0,sK1),power_set(power_set(product(empty_set))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_25])]) ).
fof(f703,plain,
( ~ injective(compose_function(sK4,sK3,sK1,sK0,sK1),power_set(power_set(product(empty_set))),sK1)
| one_to_one(compose_function(sK4,sK3,sK1,sK0,sK1),power_set(power_set(product(empty_set))),sK1)
| ~ spl18_25 ),
inference(resolution,[],[f696,f190]) ).
fof(f696,plain,
( surjective(compose_function(sK4,sK3,sK1,sK0,sK1),power_set(power_set(product(empty_set))),sK1)
| ~ spl18_25 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f702,plain,
( spl18_26
| ~ spl18_2 ),
inference(avatar_split_clause,[],[f691,f216,f699]) ).
fof(f691,plain,
( surjective(compose_function(sK2,sK4,sK0,sK1,sK0),power_set(power_set(product(empty_set))),sK0)
| ~ spl18_2 ),
inference(resolution,[],[f673,f396]) ).
fof(f697,plain,
( spl18_25
| ~ spl18_3 ),
inference(avatar_split_clause,[],[f692,f221,f694]) ).
fof(f692,plain,
( surjective(compose_function(sK4,sK3,sK1,sK0,sK1),power_set(power_set(product(empty_set))),sK1)
| ~ spl18_3 ),
inference(resolution,[],[f673,f408]) ).
fof(f656,plain,
( spl18_23
| ~ spl18_24
| ~ spl18_20 ),
inference(avatar_split_clause,[],[f647,f628,f653,f649]) ).
fof(f649,plain,
( spl18_23
<=> one_to_one(compose_function(sK2,sK4,sK0,sK1,sK0),power_set(product(empty_set)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_23])]) ).
fof(f653,plain,
( spl18_24
<=> injective(compose_function(sK2,sK4,sK0,sK1,sK0),power_set(product(empty_set)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_24])]) ).
fof(f628,plain,
( spl18_20
<=> surjective(compose_function(sK2,sK4,sK0,sK1,sK0),power_set(product(empty_set)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_20])]) ).
fof(f647,plain,
( ~ injective(compose_function(sK2,sK4,sK0,sK1,sK0),power_set(product(empty_set)),sK0)
| one_to_one(compose_function(sK2,sK4,sK0,sK1,sK0),power_set(product(empty_set)),sK0)
| ~ spl18_20 ),
inference(resolution,[],[f630,f190]) ).
fof(f630,plain,
( surjective(compose_function(sK2,sK4,sK0,sK1,sK0),power_set(product(empty_set)),sK0)
| ~ spl18_20 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f643,plain,
( spl18_21
| ~ spl18_22
| ~ spl18_19 ),
inference(avatar_split_clause,[],[f634,f623,f640,f636]) ).
fof(f636,plain,
( spl18_21
<=> one_to_one(compose_function(sK4,sK3,sK1,sK0,sK1),power_set(product(empty_set)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_21])]) ).
fof(f640,plain,
( spl18_22
<=> injective(compose_function(sK4,sK3,sK1,sK0,sK1),power_set(product(empty_set)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_22])]) ).
fof(f623,plain,
( spl18_19
<=> surjective(compose_function(sK4,sK3,sK1,sK0,sK1),power_set(product(empty_set)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_19])]) ).
fof(f634,plain,
( ~ injective(compose_function(sK4,sK3,sK1,sK0,sK1),power_set(product(empty_set)),sK1)
| one_to_one(compose_function(sK4,sK3,sK1,sK0,sK1),power_set(product(empty_set)),sK1)
| ~ spl18_19 ),
inference(resolution,[],[f625,f190]) ).
fof(f625,plain,
( surjective(compose_function(sK4,sK3,sK1,sK0,sK1),power_set(product(empty_set)),sK1)
| ~ spl18_19 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f631,plain,
( spl18_20
| ~ spl18_2 ),
inference(avatar_split_clause,[],[f620,f216,f628]) ).
fof(f620,plain,
( surjective(compose_function(sK2,sK4,sK0,sK1,sK0),power_set(product(empty_set)),sK0)
| ~ spl18_2 ),
inference(resolution,[],[f563,f396]) ).
fof(f626,plain,
( spl18_19
| ~ spl18_3 ),
inference(avatar_split_clause,[],[f621,f221,f623]) ).
fof(f621,plain,
( surjective(compose_function(sK4,sK3,sK1,sK0,sK1),power_set(product(empty_set)),sK1)
| ~ spl18_3 ),
inference(resolution,[],[f563,f408]) ).
fof(f593,plain,
( ~ spl18_17
| spl18_18
| ~ spl18_14 ),
inference(avatar_split_clause,[],[f584,f559,f590,f586]) ).
fof(f586,plain,
( spl18_17
<=> injective(compose_function(sK2,sK4,sK0,sK1,sK0),product(empty_set),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_17])]) ).
fof(f590,plain,
( spl18_18
<=> one_to_one(compose_function(sK2,sK4,sK0,sK1,sK0),product(empty_set),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_18])]) ).
fof(f559,plain,
( spl18_14
<=> surjective(compose_function(sK2,sK4,sK0,sK1,sK0),product(empty_set),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_14])]) ).
fof(f584,plain,
( one_to_one(compose_function(sK2,sK4,sK0,sK1,sK0),product(empty_set),sK0)
| ~ injective(compose_function(sK2,sK4,sK0,sK1,sK0),product(empty_set),sK0)
| ~ spl18_14 ),
inference(resolution,[],[f561,f190]) ).
fof(f561,plain,
( surjective(compose_function(sK2,sK4,sK0,sK1,sK0),product(empty_set),sK0)
| ~ spl18_14 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f573,plain,
( spl18_15
| ~ spl18_16
| ~ spl18_13 ),
inference(avatar_split_clause,[],[f564,f554,f570,f566]) ).
fof(f566,plain,
( spl18_15
<=> one_to_one(compose_function(sK4,sK3,sK1,sK0,sK1),product(empty_set),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_15])]) ).
fof(f570,plain,
( spl18_16
<=> injective(compose_function(sK4,sK3,sK1,sK0,sK1),product(empty_set),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_16])]) ).
fof(f554,plain,
( spl18_13
<=> surjective(compose_function(sK4,sK3,sK1,sK0,sK1),product(empty_set),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_13])]) ).
fof(f564,plain,
( ~ injective(compose_function(sK4,sK3,sK1,sK0,sK1),product(empty_set),sK1)
| one_to_one(compose_function(sK4,sK3,sK1,sK0,sK1),product(empty_set),sK1)
| ~ spl18_13 ),
inference(resolution,[],[f556,f190]) ).
fof(f556,plain,
( surjective(compose_function(sK4,sK3,sK1,sK0,sK1),product(empty_set),sK1)
| ~ spl18_13 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f562,plain,
( spl18_14
| ~ spl18_2 ),
inference(avatar_split_clause,[],[f551,f216,f559]) ).
fof(f551,plain,
( surjective(compose_function(sK2,sK4,sK0,sK1,sK0),product(empty_set),sK0)
| ~ spl18_2 ),
inference(resolution,[],[f538,f396]) ).
fof(f557,plain,
( spl18_13
| ~ spl18_3 ),
inference(avatar_split_clause,[],[f552,f221,f554]) ).
fof(f552,plain,
( surjective(compose_function(sK4,sK3,sK1,sK0,sK1),product(empty_set),sK1)
| ~ spl18_3 ),
inference(resolution,[],[f538,f408]) ).
fof(f496,plain,
( spl18_11
| ~ spl18_12
| ~ spl18_10 ),
inference(avatar_split_clause,[],[f487,f480,f493,f489]) ).
fof(f489,plain,
( spl18_11
<=> one_to_one(compose_function(sK4,sK3,sK1,sK0,sK1),sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_11])]) ).
fof(f493,plain,
( spl18_12
<=> injective(compose_function(sK4,sK3,sK1,sK0,sK1),sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_12])]) ).
fof(f480,plain,
( spl18_10
<=> surjective(compose_function(sK4,sK3,sK1,sK0,sK1),sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_10])]) ).
fof(f487,plain,
( ~ injective(compose_function(sK4,sK3,sK1,sK0,sK1),sK1,sK1)
| one_to_one(compose_function(sK4,sK3,sK1,sK0,sK1),sK1,sK1)
| ~ spl18_10 ),
inference(resolution,[],[f482,f190]) ).
fof(f482,plain,
( surjective(compose_function(sK4,sK3,sK1,sK0,sK1),sK1,sK1)
| ~ spl18_10 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f483,plain,
( spl18_10
| ~ spl18_3 ),
inference(avatar_split_clause,[],[f478,f221,f480]) ).
fof(f478,plain,
( surjective(compose_function(sK4,sK3,sK1,sK0,sK1),sK1,sK1)
| ~ spl18_3 ),
inference(duplicate_literal_removal,[],[f475]) ).
fof(f475,plain,
( surjective(compose_function(sK4,sK3,sK1,sK0,sK1),sK1,sK1)
| surjective(compose_function(sK4,sK3,sK1,sK0,sK1),sK1,sK1)
| ~ spl18_3 ),
inference(resolution,[],[f408,f185]) ).
fof(f473,plain,
( spl18_8
| ~ spl18_9
| ~ spl18_7 ),
inference(avatar_split_clause,[],[f464,f460,f470,f466]) ).
fof(f466,plain,
( spl18_8
<=> one_to_one(compose_function(sK2,sK4,sK0,sK1,sK0),sK0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_8])]) ).
fof(f470,plain,
( spl18_9
<=> injective(compose_function(sK2,sK4,sK0,sK1,sK0),sK0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_9])]) ).
fof(f460,plain,
( spl18_7
<=> surjective(compose_function(sK2,sK4,sK0,sK1,sK0),sK0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_7])]) ).
fof(f464,plain,
( ~ injective(compose_function(sK2,sK4,sK0,sK1,sK0),sK0,sK0)
| one_to_one(compose_function(sK2,sK4,sK0,sK1,sK0),sK0,sK0)
| ~ spl18_7 ),
inference(resolution,[],[f462,f190]) ).
fof(f462,plain,
( surjective(compose_function(sK2,sK4,sK0,sK1,sK0),sK0,sK0)
| ~ spl18_7 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f463,plain,
( spl18_7
| ~ spl18_2 ),
inference(avatar_split_clause,[],[f458,f216,f460]) ).
fof(f458,plain,
( surjective(compose_function(sK2,sK4,sK0,sK1,sK0),sK0,sK0)
| ~ spl18_2 ),
inference(duplicate_literal_removal,[],[f455]) ).
fof(f455,plain,
( surjective(compose_function(sK2,sK4,sK0,sK1,sK0),sK0,sK0)
| surjective(compose_function(sK2,sK4,sK0,sK1,sK0),sK0,sK0)
| ~ spl18_2 ),
inference(resolution,[],[f396,f185]) ).
fof(f239,plain,
spl18_6,
inference(avatar_split_clause,[],[f142,f236]) ).
fof(f142,plain,
maps(sK2,sK1,sK0),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( identity(compose_function(sK2,sK4,sK0,sK1,sK0),sK0)
& ~ one_to_one(sK4,sK0,sK1)
& maps(sK3,sK1,sK0)
& identity(compose_function(sK4,sK3,sK1,sK0,sK1),sK1)
& maps(sK4,sK0,sK1)
& maps(sK2,sK1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f79,f80]) ).
fof(f80,plain,
( ? [X0,X1,X2,X3,X4] :
( identity(compose_function(X2,X4,X0,X1,X0),X0)
& ~ one_to_one(X4,X0,X1)
& maps(X3,X1,X0)
& identity(compose_function(X4,X3,X1,X0,X1),X1)
& maps(X4,X0,X1)
& maps(X2,X1,X0) )
=> ( identity(compose_function(sK2,sK4,sK0,sK1,sK0),sK0)
& ~ one_to_one(sK4,sK0,sK1)
& maps(sK3,sK1,sK0)
& identity(compose_function(sK4,sK3,sK1,sK0,sK1),sK1)
& maps(sK4,sK0,sK1)
& maps(sK2,sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
? [X0,X1,X2,X3,X4] :
( identity(compose_function(X2,X4,X0,X1,X0),X0)
& ~ one_to_one(X4,X0,X1)
& maps(X3,X1,X0)
& identity(compose_function(X4,X3,X1,X0,X1),X1)
& maps(X4,X0,X1)
& maps(X2,X1,X0) ),
inference(rectify,[],[f64]) ).
fof(f64,plain,
? [X2,X0,X4,X1,X3] :
( identity(compose_function(X4,X3,X2,X0,X2),X2)
& ~ one_to_one(X3,X2,X0)
& maps(X1,X0,X2)
& identity(compose_function(X3,X1,X0,X2,X0),X0)
& maps(X3,X2,X0)
& maps(X4,X0,X2) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
? [X0,X3,X1,X4,X2] :
( ~ one_to_one(X3,X2,X0)
& maps(X4,X0,X2)
& identity(compose_function(X4,X3,X2,X0,X2),X2)
& identity(compose_function(X3,X1,X0,X2,X0),X0)
& maps(X3,X2,X0)
& maps(X1,X0,X2) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
~ ! [X0,X3,X1,X4,X2] :
( ( maps(X4,X0,X2)
& identity(compose_function(X4,X3,X2,X0,X2),X2)
& identity(compose_function(X3,X1,X0,X2,X0),X0)
& maps(X3,X2,X0)
& maps(X1,X0,X2) )
=> one_to_one(X3,X2,X0) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X1,X8,X0,X5,X9] :
( ( maps(X8,X1,X0)
& identity(compose_function(X9,X5,X0,X1,X0),X0)
& identity(compose_function(X5,X8,X1,X0,X1),X1)
& maps(X9,X1,X0)
& maps(X5,X0,X1) )
=> one_to_one(X5,X0,X1) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X1,X8,X0,X5,X9] :
( ( maps(X8,X1,X0)
& identity(compose_function(X9,X5,X0,X1,X0),X0)
& identity(compose_function(X5,X8,X1,X0,X1),X1)
& maps(X9,X1,X0)
& maps(X5,X0,X1) )
=> one_to_one(X5,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thII16) ).
fof(f234,plain,
spl18_5,
inference(avatar_split_clause,[],[f143,f231]) ).
fof(f143,plain,
maps(sK4,sK0,sK1),
inference(cnf_transformation,[],[f81]) ).
fof(f229,plain,
spl18_4,
inference(avatar_split_clause,[],[f145,f226]) ).
fof(f145,plain,
maps(sK3,sK1,sK0),
inference(cnf_transformation,[],[f81]) ).
fof(f224,plain,
spl18_3,
inference(avatar_split_clause,[],[f144,f221]) ).
fof(f144,plain,
identity(compose_function(sK4,sK3,sK1,sK0,sK1),sK1),
inference(cnf_transformation,[],[f81]) ).
fof(f219,plain,
spl18_2,
inference(avatar_split_clause,[],[f147,f216]) ).
fof(f147,plain,
identity(compose_function(sK2,sK4,sK0,sK1,sK0),sK0),
inference(cnf_transformation,[],[f81]) ).
fof(f214,plain,
~ spl18_1,
inference(avatar_split_clause,[],[f146,f211]) ).
fof(f146,plain,
~ one_to_one(sK4,sK0,sK1),
inference(cnf_transformation,[],[f81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET725+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.03/0.13 % 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 : n025.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 14:24:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.51 % (2705)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)
% 0.20/0.52 % (2704)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (2697)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)
% 0.20/0.52 % (2713)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)
% 0.20/0.52 % (2691)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)
% 0.20/0.53 % (2692)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)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 % (2696)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)
% 0.20/0.53 % (2701)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 TRYING [2]
% 0.20/0.53 % (2703)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 % (2707)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)
% 0.20/0.54 % (2702)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)
% 0.20/0.54 TRYING [2]
% 0.20/0.54 % (2712)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54 % (2720)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)
% 0.20/0.54 % (2699)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (2699)Instruction limit reached!
% 0.20/0.54 % (2699)------------------------------
% 0.20/0.54 % (2699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (2718)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)
% 0.20/0.54 % (2694)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)
% 0.20/0.55 % (2719)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.55 % (2693)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.52/0.55 % (2715)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.52/0.55 % (2716)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.52/0.55 % (2708)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.52/0.55 % (2695)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.52/0.55 % (2692)Refutation not found, incomplete strategy% (2692)------------------------------
% 1.52/0.55 % (2692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.55 % (2692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.55 % (2692)Termination reason: Refutation not found, incomplete strategy
% 1.52/0.55
% 1.52/0.55 % (2692)Memory used [KB]: 5628
% 1.52/0.55 % (2692)Time elapsed: 0.141 s
% 1.52/0.55 % (2692)Instructions burned: 7 (million)
% 1.52/0.55 % (2692)------------------------------
% 1.52/0.55 % (2692)------------------------------
% 1.52/0.55 % (2711)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.52/0.55 TRYING [1]
% 1.52/0.55 % (2698)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.52/0.55 % (2710)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)
% 1.52/0.55 % (2706)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)
% 1.52/0.56 % (2700)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.52/0.56 % (2699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.56 % (2699)Termination reason: Unknown
% 1.52/0.56 % (2699)Termination phase: Preprocessing 3
% 1.52/0.56
% 1.52/0.56 % (2699)Memory used [KB]: 1023
% 1.52/0.56 % (2699)Time elapsed: 0.002 s
% 1.52/0.56 % (2699)Instructions burned: 2 (million)
% 1.52/0.56 % (2699)------------------------------
% 1.52/0.56 % (2699)------------------------------
% 1.52/0.56 TRYING [2]
% 1.52/0.56 % (2698)Instruction limit reached!
% 1.52/0.56 % (2698)------------------------------
% 1.52/0.56 % (2698)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.56 % (2709)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.52/0.56 % (2698)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.56 % (2698)Termination reason: Unknown
% 1.52/0.56 % (2698)Termination phase: Saturation
% 1.52/0.56
% 1.52/0.56 % (2698)Memory used [KB]: 5628
% 1.52/0.56 % (2698)Time elapsed: 0.158 s
% 1.52/0.56 % (2698)Instructions burned: 7 (million)
% 1.52/0.56 % (2698)------------------------------
% 1.52/0.56 % (2698)------------------------------
% 1.52/0.56 TRYING [3]
% 1.52/0.56 % (2714)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)
% 1.52/0.57 % (2697)Instruction limit reached!
% 1.52/0.57 % (2697)------------------------------
% 1.52/0.57 % (2697)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.57 % (2697)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.57 % (2697)Termination reason: Unknown
% 1.52/0.57 % (2697)Termination phase: Finite model building constraint generation
% 1.52/0.57
% 1.52/0.57 % (2697)Memory used [KB]: 9466
% 1.52/0.57 % (2697)Time elapsed: 0.119 s
% 1.52/0.57 % (2697)Instructions burned: 52 (million)
% 1.52/0.57 % (2697)------------------------------
% 1.52/0.57 % (2697)------------------------------
% 1.69/0.57 % (2717)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.69/0.57 TRYING [3]
% 1.69/0.59 TRYING [3]
% 1.69/0.61 % (2693)Instruction limit reached!
% 1.69/0.61 % (2693)------------------------------
% 1.69/0.61 % (2693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.61 % (2708)Instruction limit reached!
% 1.69/0.61 % (2708)------------------------------
% 1.69/0.61 % (2708)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.61 % (2708)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.61 % (2708)Termination reason: Unknown
% 1.69/0.61 % (2708)Termination phase: Finite model building constraint generation
% 1.69/0.61
% 1.69/0.61 % (2708)Memory used [KB]: 10234
% 1.69/0.61 % (2708)Time elapsed: 0.170 s
% 1.69/0.61 % (2708)Instructions burned: 60 (million)
% 1.69/0.61 % (2708)------------------------------
% 1.69/0.61 % (2708)------------------------------
% 1.69/0.62 % (2701)Instruction limit reached!
% 1.69/0.62 % (2701)------------------------------
% 1.69/0.62 % (2701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.62 % (2701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.62 % (2701)Termination reason: Unknown
% 1.69/0.62 % (2701)Termination phase: Saturation
% 1.69/0.62
% 1.69/0.62 % (2701)Memory used [KB]: 6780
% 1.69/0.62 % (2701)Time elapsed: 0.195 s
% 1.69/0.62 % (2701)Instructions burned: 50 (million)
% 1.69/0.62 % (2701)------------------------------
% 1.69/0.62 % (2701)------------------------------
% 1.69/0.63 % (2693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.63 % (2693)Termination reason: Unknown
% 1.69/0.63 % (2693)Termination phase: Saturation
% 1.69/0.63
% 1.69/0.63 % (2693)Memory used [KB]: 1791
% 1.69/0.63 % (2693)Time elapsed: 0.205 s
% 1.69/0.63 % (2693)Instructions burned: 38 (million)
% 1.69/0.63 % (2693)------------------------------
% 1.69/0.63 % (2693)------------------------------
% 1.69/0.63 % (2694)Instruction limit reached!
% 1.69/0.63 % (2694)------------------------------
% 1.69/0.63 % (2694)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.63 % (2694)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.63 % (2694)Termination reason: Unknown
% 1.69/0.63 % (2694)Termination phase: Saturation
% 1.69/0.63
% 1.69/0.63 % (2694)Memory used [KB]: 6524
% 1.69/0.63 % (2694)Time elapsed: 0.216 s
% 1.69/0.63 % (2694)Instructions burned: 52 (million)
% 1.69/0.63 % (2694)------------------------------
% 1.69/0.63 % (2694)------------------------------
% 1.69/0.63 % (2696)Instruction limit reached!
% 1.69/0.63 % (2696)------------------------------
% 1.69/0.63 % (2696)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.63 % (2696)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.63 % (2696)Termination reason: Unknown
% 1.69/0.63 % (2696)Termination phase: Saturation
% 1.69/0.63
% 1.69/0.63 % (2696)Memory used [KB]: 6268
% 1.69/0.63 % (2696)Time elapsed: 0.237 s
% 1.69/0.63 % (2696)Instructions burned: 49 (million)
% 1.69/0.63 % (2696)------------------------------
% 1.69/0.63 % (2696)------------------------------
% 2.21/0.64 % (2705)Instruction limit reached!
% 2.21/0.64 % (2705)------------------------------
% 2.21/0.64 % (2705)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.64 % (2705)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.64 % (2705)Termination reason: Unknown
% 2.21/0.64 % (2705)Termination phase: Saturation
% 2.21/0.64
% 2.21/0.64 % (2705)Memory used [KB]: 7036
% 2.21/0.64 % (2705)Time elapsed: 0.053 s
% 2.21/0.64 % (2705)Instructions burned: 68 (million)
% 2.21/0.64 % (2705)------------------------------
% 2.21/0.64 % (2705)------------------------------
% 2.21/0.65 % (2695)Instruction limit reached!
% 2.21/0.65 % (2695)------------------------------
% 2.21/0.65 % (2695)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.65 % (2695)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.65 % (2695)Termination reason: Unknown
% 2.21/0.65 % (2695)Termination phase: Saturation
% 2.21/0.65
% 2.21/0.65 % (2695)Memory used [KB]: 6652
% 2.21/0.65 % (2695)Time elapsed: 0.231 s
% 2.21/0.65 % (2695)Instructions burned: 51 (million)
% 2.21/0.65 % (2695)------------------------------
% 2.21/0.65 % (2695)------------------------------
% 2.21/0.66 % (2700)Instruction limit reached!
% 2.21/0.66 % (2700)------------------------------
% 2.21/0.66 % (2700)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.66 % (2700)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.66 % (2700)Termination reason: Unknown
% 2.21/0.66 % (2700)Termination phase: Saturation
% 2.21/0.66
% 2.21/0.66 % (2700)Memory used [KB]: 2430
% 2.21/0.66 % (2700)Time elapsed: 0.257 s
% 2.21/0.66 % (2700)Instructions burned: 52 (million)
% 2.21/0.66 % (2700)------------------------------
% 2.21/0.66 % (2700)------------------------------
% 2.38/0.67 % (2706)Instruction limit reached!
% 2.38/0.67 % (2706)------------------------------
% 2.38/0.67 % (2706)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.69 % (2717)Instruction limit reached!
% 2.38/0.69 % (2717)------------------------------
% 2.38/0.69 % (2717)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.69 % (2717)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.69 % (2717)Termination reason: Unknown
% 2.38/0.69 % (2717)Termination phase: Saturation
% 2.38/0.69
% 2.38/0.69 % (2717)Memory used [KB]: 7036
% 2.38/0.69 % (2717)Time elapsed: 0.038 s
% 2.38/0.69 % (2717)Instructions burned: 68 (million)
% 2.38/0.69 % (2717)------------------------------
% 2.38/0.69 % (2717)------------------------------
% 2.38/0.70 % (2706)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.70 % (2706)Termination reason: Unknown
% 2.38/0.70 % (2706)Termination phase: Saturation
% 2.38/0.70
% 2.38/0.70 % (2706)Memory used [KB]: 2430
% 2.38/0.70 % (2706)Time elapsed: 0.258 s
% 2.38/0.70 % (2706)Instructions burned: 76 (million)
% 2.38/0.70 % (2706)------------------------------
% 2.38/0.70 % (2706)------------------------------
% 2.38/0.70 % (2702)Instruction limit reached!
% 2.38/0.70 % (2702)------------------------------
% 2.38/0.70 % (2702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.70 % (2702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.70 % (2702)Termination reason: Unknown
% 2.38/0.70 % (2702)Termination phase: Saturation
% 2.38/0.70
% 2.38/0.70 % (2702)Memory used [KB]: 7419
% 2.38/0.70 % (2702)Time elapsed: 0.278 s
% 2.38/0.70 % (2702)Instructions burned: 100 (million)
% 2.38/0.70 % (2702)------------------------------
% 2.38/0.70 % (2702)------------------------------
% 2.38/0.70 % (2723)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)
% 2.38/0.70 % (2722)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)
% 2.38/0.71 % (2704)Instruction limit reached!
% 2.38/0.71 % (2704)------------------------------
% 2.38/0.71 % (2704)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.71 % (2724)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.38/0.72 % (2704)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.72 % (2704)Termination reason: Unknown
% 2.38/0.72 % (2704)Termination phase: Saturation
% 2.38/0.72
% 2.38/0.72 % (2704)Memory used [KB]: 7291
% 2.38/0.72 % (2704)Time elapsed: 0.283 s
% 2.38/0.72 % (2704)Instructions burned: 99 (million)
% 2.38/0.72 % (2704)------------------------------
% 2.38/0.72 % (2704)------------------------------
% 2.38/0.72 % (2707)Instruction limit reached!
% 2.38/0.72 % (2707)------------------------------
% 2.38/0.72 % (2707)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.72 % (2707)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.72 % (2707)Termination reason: Unknown
% 2.38/0.72 % (2707)Termination phase: Saturation
% 2.38/0.72
% 2.38/0.72 % (2707)Memory used [KB]: 7036
% 2.38/0.72 % (2707)Time elapsed: 0.308 s
% 2.38/0.72 % (2707)Instructions burned: 100 (million)
% 2.38/0.72 % (2707)------------------------------
% 2.38/0.72 % (2707)------------------------------
% 2.38/0.73 % (2703)Instruction limit reached!
% 2.38/0.73 % (2703)------------------------------
% 2.38/0.73 % (2703)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.73 % (2703)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.73 % (2703)Termination reason: Unknown
% 2.38/0.73 % (2703)Termination phase: Saturation
% 2.38/0.73
% 2.38/0.73 % (2703)Memory used [KB]: 7419
% 2.38/0.73 % (2703)Time elapsed: 0.306 s
% 2.38/0.73 % (2703)Instructions burned: 101 (million)
% 2.38/0.73 % (2703)------------------------------
% 2.38/0.73 % (2703)------------------------------
% 2.67/0.73 % (2709)Instruction limit reached!
% 2.67/0.73 % (2709)------------------------------
% 2.67/0.73 % (2709)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.73 % (2709)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.73 % (2709)Termination reason: Unknown
% 2.67/0.73 % (2709)Termination phase: Saturation
% 2.67/0.73
% 2.67/0.73 % (2709)Memory used [KB]: 7547
% 2.67/0.73 % (2709)Time elapsed: 0.323 s
% 2.67/0.73 % (2709)Instructions burned: 101 (million)
% 2.67/0.73 % (2709)------------------------------
% 2.67/0.73 % (2709)------------------------------
% 2.67/0.73 % (2725)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.67/0.73 % (2710)Instruction limit reached!
% 2.67/0.73 % (2710)------------------------------
% 2.67/0.73 % (2710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.73 % (2710)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.73 % (2710)Termination reason: Unknown
% 2.67/0.73 % (2710)Termination phase: Saturation
% 2.67/0.73
% 2.67/0.73 % (2710)Memory used [KB]: 2558
% 2.67/0.73 % (2710)Time elapsed: 0.336 s
% 2.67/0.73 % (2710)Instructions burned: 101 (million)
% 2.67/0.73 % (2710)------------------------------
% 2.67/0.73 % (2710)------------------------------
% 2.67/0.74 % (2726)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.67/0.75 % (2730)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 (2997ds/940Mi)
% 2.77/0.77 % (2729)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 (2997ds/68Mi)
% 2.77/0.78 % (2728)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.77/0.78 % (2727)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.77/0.78 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.77/0.78 % (2731)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 (2997ds/981Mi)
% 2.77/0.78 % (2732)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.77/0.79 % (2733)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)
% 2.77/0.81 % (2712)Instruction limit reached!
% 2.77/0.81 % (2712)------------------------------
% 2.77/0.81 % (2712)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.81 % (2712)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.81 % (2712)Termination reason: Unknown
% 2.77/0.81 % (2712)Termination phase: Saturation
% 2.77/0.81
% 2.77/0.81 % (2712)Memory used [KB]: 8059
% 2.77/0.81 % (2712)Time elapsed: 0.359 s
% 2.77/0.81 % (2712)Instructions burned: 139 (million)
% 2.77/0.81 % (2712)------------------------------
% 2.77/0.81 % (2712)------------------------------
% 2.77/0.82 % (2734)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.77/0.82 % (2737)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.97/0.83 % (2736)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 2.97/0.86 % (2739)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 (2996ds/4931Mi)
% 2.97/0.86 % (2738)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.97/0.86 % (2740)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)
% 3.04/0.87 % (2711)Instruction limit reached!
% 3.04/0.87 % (2711)------------------------------
% 3.04/0.87 % (2711)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.04/0.87 % (2711)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.04/0.87 % (2711)Termination reason: Unknown
% 3.04/0.87 % (2711)Termination phase: Saturation
% 3.04/0.87
% 3.04/0.87 % (2711)Memory used [KB]: 8699
% 3.04/0.87 % (2711)Time elapsed: 0.445 s
% 3.04/0.87 % (2711)Instructions burned: 176 (million)
% 3.04/0.87 % (2711)------------------------------
% 3.04/0.87 % (2711)------------------------------
% 3.04/0.87 % (2741)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 (2996ds/1824Mi)
% 3.04/0.87 % (2742)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 (2996ds/2134Mi)
% 3.04/0.88 % (2724)Instruction limit reached!
% 3.04/0.88 % (2724)------------------------------
% 3.04/0.88 % (2724)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.04/0.88 % (2724)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.04/0.88 % (2724)Termination reason: Unknown
% 3.04/0.88 % (2724)Termination phase: Saturation
% 3.04/0.88
% 3.04/0.88 % (2724)Memory used [KB]: 7419
% 3.04/0.88 % (2724)Time elapsed: 0.276 s
% 3.04/0.88 % (2724)Instructions burned: 91 (million)
% 3.04/0.88 % (2724)------------------------------
% 3.04/0.88 % (2724)------------------------------
% 3.04/0.88 % (2718)Instruction limit reached!
% 3.04/0.88 % (2718)------------------------------
% 3.04/0.88 % (2718)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.04/0.88 % (2718)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.04/0.88 % (2718)Termination reason: Unknown
% 3.04/0.88 % (2718)Termination phase: Saturation
% 3.04/0.88
% 3.04/0.88 % (2718)Memory used [KB]: 4605
% 3.04/0.88 % (2718)Time elapsed: 0.483 s
% 3.04/0.88 % (2718)Instructions burned: 179 (million)
% 3.04/0.88 % (2718)------------------------------
% 3.04/0.88 % (2718)------------------------------
% 3.04/0.90 TRYING [4]
% 3.04/0.90 % (2729)Instruction limit reached!
% 3.04/0.90 % (2729)------------------------------
% 3.04/0.90 % (2729)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.04/0.90 % (2729)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.04/0.90 % (2729)Termination reason: Unknown
% 3.04/0.90 % (2729)Termination phase: Saturation
% 3.04/0.90
% 3.04/0.90 % (2729)Memory used [KB]: 7164
% 3.04/0.90 % (2729)Time elapsed: 0.039 s
% 3.04/0.90 % (2729)Instructions burned: 69 (million)
% 3.04/0.90 % (2729)------------------------------
% 3.04/0.90 % (2729)------------------------------
% 3.34/0.95 % (2743)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.34/0.95 % (2732)Instruction limit reached!
% 3.34/0.95 % (2732)------------------------------
% 3.34/0.95 % (2732)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.34/0.95 % (2732)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.34/0.95 % (2732)Termination reason: Unknown
% 3.34/0.95 % (2732)Termination phase: Saturation
% 3.34/0.95
% 3.34/0.95 % (2732)Memory used [KB]: 7164
% 3.34/0.95 % (2732)Time elapsed: 0.261 s
% 3.34/0.95 % (2732)Instructions burned: 92 (million)
% 3.34/0.95 % (2732)------------------------------
% 3.34/0.95 % (2732)------------------------------
% 3.48/0.99 % (2740)Instruction limit reached!
% 3.48/0.99 % (2740)------------------------------
% 3.48/0.99 % (2740)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.48/0.99 % (2740)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.48/0.99 % (2740)Termination reason: Unknown
% 3.48/0.99 % (2740)Termination phase: Saturation
% 3.48/0.99
% 3.48/0.99 % (2740)Memory used [KB]: 7164
% 3.48/0.99 % (2740)Time elapsed: 0.035 s
% 3.48/0.99 % (2740)Instructions burned: 68 (million)
% 3.48/0.99 % (2740)------------------------------
% 3.48/0.99 % (2740)------------------------------
% 3.48/0.99 % (2744)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4585Mi)
% 3.48/1.02 % (2745)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)
% 3.48/1.02 % (2746)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2016Mi)
% 3.64/1.03 % (2747)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 5.62/1.09 % (2748)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 (2994ds/9965Mi)
% 5.62/1.09 % (2723)Instruction limit reached!
% 5.62/1.09 % (2723)------------------------------
% 5.62/1.09 % (2723)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.62/1.09 % (2723)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.62/1.09 % (2723)Termination reason: Unknown
% 5.62/1.09 % (2723)Termination phase: Saturation
% 5.62/1.09
% 5.62/1.09 % (2723)Memory used [KB]: 5500
% 5.62/1.09 % (2723)Time elapsed: 0.498 s
% 5.62/1.09 % (2723)Instructions burned: 212 (million)
% 5.62/1.09 % (2723)------------------------------
% 5.62/1.09 % (2723)------------------------------
% 5.62/1.13 % (2749)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)
% 6.24/1.18 % (2745)Instruction limit reached!
% 6.24/1.18 % (2745)------------------------------
% 6.24/1.18 % (2745)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.24/1.18 % (2745)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.24/1.18 % (2745)Termination reason: Unknown
% 6.24/1.18 % (2745)Termination phase: Saturation
% 6.24/1.18
% 6.24/1.18 % (2745)Memory used [KB]: 7036
% 6.24/1.18 % (2745)Time elapsed: 0.265 s
% 6.24/1.18 % (2745)Instructions burned: 90 (million)
% 6.24/1.18 % (2745)------------------------------
% 6.24/1.18 % (2745)------------------------------
% 6.58/1.19 % (2720)Instruction limit reached!
% 6.58/1.19 % (2720)------------------------------
% 6.58/1.19 % (2720)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.58/1.19 % (2720)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.58/1.19 % (2720)Termination reason: Unknown
% 6.58/1.19 % (2720)Termination phase: Saturation
% 6.58/1.19
% 6.58/1.19 % (2720)Memory used [KB]: 13688
% 6.58/1.19 % (2720)Time elapsed: 0.778 s
% 6.58/1.19 % (2720)Instructions burned: 355 (million)
% 6.58/1.19 % (2720)------------------------------
% 6.58/1.19 % (2720)------------------------------
% 6.58/1.23 % (2750)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)
% 6.97/1.25 % (2722)Instruction limit reached!
% 6.97/1.25 % (2722)------------------------------
% 6.97/1.25 % (2722)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.97/1.26 % (2722)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.97/1.26 % (2722)Termination reason: Unknown
% 6.97/1.26 % (2722)Termination phase: Saturation
% 6.97/1.26
% 6.97/1.26 % (2722)Memory used [KB]: 10490
% 6.97/1.26 % (2722)Time elapsed: 0.640 s
% 6.97/1.26 % (2722)Instructions burned: 388 (million)
% 6.97/1.26 % (2722)------------------------------
% 6.97/1.26 % (2722)------------------------------
% 7.42/1.32 % (2751)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)
% 7.71/1.37 % (2752)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9989Mi)
% 7.71/1.38 % (2713)Instruction limit reached!
% 7.71/1.38 % (2713)------------------------------
% 7.71/1.38 % (2713)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.71/1.38 % (2713)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.71/1.38 % (2713)Termination reason: Unknown
% 7.71/1.38 % (2713)Termination phase: Saturation
% 7.71/1.38
% 7.71/1.38 % (2713)Memory used [KB]: 6268
% 7.71/1.38 % (2713)Time elapsed: 0.939 s
% 7.71/1.38 % (2713)Instructions burned: 498 (million)
% 7.71/1.38 % (2713)------------------------------
% 7.71/1.38 % (2713)------------------------------
% 7.71/1.38 % (2714)Instruction limit reached!
% 7.71/1.38 % (2714)------------------------------
% 7.71/1.38 % (2714)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.71/1.38 % (2714)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.71/1.38 % (2714)Termination reason: Unknown
% 7.71/1.38 % (2714)Termination phase: Saturation
% 7.71/1.38
% 7.71/1.38 % (2714)Memory used [KB]: 10746
% 7.71/1.38 % (2714)Time elapsed: 0.976 s
% 7.71/1.38 % (2714)Instructions burned: 467 (million)
% 7.71/1.38 % (2714)------------------------------
% 7.71/1.38 % (2714)------------------------------
% 7.71/1.38 % (2719)Instruction limit reached!
% 7.71/1.38 % (2719)------------------------------
% 7.71/1.38 % (2719)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.71/1.38 % (2719)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.71/1.38 % (2719)Termination reason: Unknown
% 7.71/1.38 % (2719)Termination phase: Saturation
% 7.71/1.38
% 7.71/1.38 % (2719)Memory used [KB]: 14456
% 7.71/1.38 % (2719)Time elapsed: 0.983 s
% 7.71/1.38 % (2719)Instructions burned: 440 (million)
% 7.71/1.38 % (2719)------------------------------
% 7.71/1.38 % (2719)------------------------------
% 7.71/1.40 % (2753)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9707Mi)
% 7.71/1.43 % (2715)Instruction limit reached!
% 7.71/1.43 % (2715)------------------------------
% 7.71/1.43 % (2715)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.71/1.43 % (2715)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.71/1.43 % (2715)Termination reason: Unknown
% 7.71/1.43 % (2715)Termination phase: Saturation
% 7.71/1.43
% 7.71/1.43 % (2715)Memory used [KB]: 12920
% 7.71/1.43 % (2715)Time elapsed: 1.013 s
% 7.71/1.43 % (2715)Instructions burned: 483 (million)
% 7.71/1.43 % (2715)------------------------------
% 7.71/1.43 % (2715)------------------------------
% 7.71/1.43 % (2716)Instruction limit reached!
% 7.71/1.43 % (2716)------------------------------
% 7.71/1.43 % (2716)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.71/1.43 % (2716)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.71/1.43 % (2716)Termination reason: Unknown
% 7.71/1.43 % (2716)Termination phase: Saturation
% 7.71/1.43
% 7.71/1.43 % (2716)Memory used [KB]: 12792
% 7.71/1.43 % (2716)Time elapsed: 1.035 s
% 7.71/1.43 % (2716)Instructions burned: 501 (million)
% 7.71/1.43 % (2716)------------------------------
% 7.71/1.43 % (2716)------------------------------
% 8.53/1.52 % (2754)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/90Mi)
% 8.53/1.53 % (2755)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)
% 8.81/1.54 % (2756)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)
% 8.86/1.57 % (2758)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 (2989ds/32293Mi)
% 8.86/1.57 % (2757)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)
% 9.98/1.66 % (2754)Instruction limit reached!
% 9.98/1.66 % (2754)------------------------------
% 9.98/1.66 % (2754)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.98/1.66 % (2754)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.98/1.66 % (2754)Termination reason: Unknown
% 9.98/1.66 % (2754)Termination phase: Saturation
% 9.98/1.66
% 9.98/1.66 % (2754)Memory used [KB]: 7164
% 9.98/1.66 % (2754)Time elapsed: 0.249 s
% 9.98/1.66 % (2754)Instructions burned: 90 (million)
% 9.98/1.66 % (2754)------------------------------
% 9.98/1.66 % (2754)------------------------------
% 10.46/1.77 % (2728)Instruction limit reached!
% 10.46/1.77 % (2728)------------------------------
% 10.46/1.77 % (2728)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.46/1.77 % (2728)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.46/1.77 % (2728)Termination reason: Unknown
% 10.46/1.77 % (2728)Termination phase: Saturation
% 10.46/1.77
% 10.46/1.77 % (2728)Memory used [KB]: 6524
% 10.46/1.77 % (2728)Time elapsed: 1.105 s
% 10.46/1.77 % (2728)Instructions burned: 656 (million)
% 10.46/1.77 % (2728)------------------------------
% 10.46/1.77 % (2728)------------------------------
% 11.33/1.81 % (2759)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)
% 11.53/1.87 % (2736)First to succeed.
% 11.53/1.90 % (2736)Refutation found. Thanks to Tanya!
% 11.53/1.90 % SZS status Theorem for theBenchmark
% 11.53/1.90 % SZS output start Proof for theBenchmark
% See solution above
% 11.53/1.91 % (2736)------------------------------
% 11.53/1.91 % (2736)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.53/1.91 % (2736)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.53/1.91 % (2736)Termination reason: Refutation
% 11.53/1.91
% 11.53/1.91 % (2736)Memory used [KB]: 5500
% 11.53/1.91 % (2736)Time elapsed: 1.117 s
% 11.53/1.91 % (2736)Instructions burned: 726 (million)
% 11.53/1.91 % (2736)------------------------------
% 11.53/1.91 % (2736)------------------------------
% 11.53/1.91 % (2690)Success in time 1.545 s
%------------------------------------------------------------------------------