TSTP Solution File: SWC312-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC312-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 05:12:26 EDT 2024
% Result : Unsatisfiable 0.21s 0.41s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 272
% Syntax : Number of formulae : 570 ( 170 unt; 0 def)
% Number of atoms : 1395 ( 168 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 1535 ( 710 ~; 675 |; 0 &)
% ( 150 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 171 ( 169 usr; 151 prp; 0-2 aty)
% Number of functors : 55 ( 55 usr; 9 con; 0-2 aty)
% Number of variables : 316 ( 316 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1295,plain,
$false,
inference(avatar_sat_refutation,[],[f244,f249,f258,f263,f273,f279,f284,f294,f301,f306,f313,f318,f325,f330,f337,f342,f349,f354,f361,f366,f373,f378,f384,f389,f394,f401,f405,f406,f419,f424,f430,f435,f439,f443,f448,f452,f456,f460,f464,f468,f472,f476,f480,f484,f488,f492,f496,f500,f504,f508,f512,f516,f520,f524,f528,f532,f536,f540,f544,f548,f552,f556,f560,f564,f568,f572,f576,f580,f585,f589,f593,f597,f601,f605,f609,f613,f617,f621,f625,f629,f633,f637,f641,f645,f649,f653,f657,f661,f669,f673,f677,f681,f685,f689,f693,f700,f701,f720,f730,f731,f738,f743,f745,f749,f763,f768,f806,f811,f847,f852,f858,f864,f872,f876,f882,f889,f895,f902,f906,f913,f918,f922,f926,f930,f934,f938,f942,f946,f950,f954,f957,f962,f966,f967,f975,f976,f980,f1002,f1012,f1014,f1015,f1018,f1058,f1065,f1137,f1158,f1162,f1167,f1171,f1175,f1179,f1183,f1187,f1191,f1195,f1199,f1203,f1207,f1211,f1215,f1219,f1278,f1292,f1293,f1294]) ).
fof(f1294,plain,
( ~ spl0_3
| spl0_31 ),
inference(avatar_split_clause,[],[f194,f421,f251]) ).
fof(f251,plain,
( spl0_3
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f421,plain,
( spl0_31
<=> ssList(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f194,axiom,
( ssList(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f1293,plain,
( ~ spl0_31
| ~ spl0_4
| ~ spl0_33
| ~ spl0_130
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f1280,f1056,f1009,f432,f255,f421]) ).
fof(f255,plain,
( spl0_4
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f432,plain,
( spl0_33
<=> sk3 = app(sk6,cons(sk5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f1009,plain,
( spl0_130
<=> sk4 = app(cons(sk5,nil),sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f1056,plain,
( spl0_131
<=> ! [X6,X7] :
( ~ ssItem(X6)
| sk4 != app(cons(X6,nil),X7)
| ~ ssList(X7)
| sk3 != app(X7,cons(X6,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f1280,plain,
( ~ ssItem(sk5)
| ~ ssList(sk6)
| ~ spl0_33
| ~ spl0_130
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f1279]) ).
fof(f1279,plain,
( sk3 != sk3
| ~ ssItem(sk5)
| ~ ssList(sk6)
| ~ spl0_33
| ~ spl0_130
| ~ spl0_131 ),
inference(forward_demodulation,[],[f1060,f434]) ).
fof(f434,plain,
( sk3 = app(sk6,cons(sk5,nil))
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f1060,plain,
( ~ ssItem(sk5)
| ~ ssList(sk6)
| sk3 != app(sk6,cons(sk5,nil))
| ~ spl0_130
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f1059]) ).
fof(f1059,plain,
( sk4 != sk4
| ~ ssItem(sk5)
| ~ ssList(sk6)
| sk3 != app(sk6,cons(sk5,nil))
| ~ spl0_130
| ~ spl0_131 ),
inference(superposition,[],[f1057,f1011]) ).
fof(f1011,plain,
( sk4 = app(cons(sk5,nil),sk6)
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f1009]) ).
fof(f1057,plain,
( ! [X6,X7] :
( sk4 != app(cons(X6,nil),X7)
| ~ ssItem(X6)
| ~ ssList(X7)
| sk3 != app(X7,cons(X6,nil)) )
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f1056]) ).
fof(f1292,plain,
spl0_150,
inference(avatar_split_clause,[],[f104,f1290]) ).
fof(f1290,plain,
( spl0_150
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f104,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f1278,plain,
( ~ spl0_4
| ~ spl0_31
| ~ spl0_100
| ~ spl0_101
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f1005,f972,f747,f740,f421,f255]) ).
fof(f740,plain,
( spl0_100
<=> sk4 = app(cons(sk5,sk3),sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f747,plain,
( spl0_101
<=> ! [X6,X7] :
( ~ ssItem(X6)
| ~ ssList(X7)
| sk3 != app(X7,cons(X6,sk3))
| sk4 != app(cons(X6,sk3),X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f972,plain,
( spl0_129
<=> sk3 = app(sk6,cons(sk5,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f1005,plain,
( ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ spl0_100
| ~ spl0_101
| ~ spl0_129 ),
inference(trivial_inequality_removal,[],[f1004]) ).
fof(f1004,plain,
( sk3 != sk3
| ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ spl0_100
| ~ spl0_101
| ~ spl0_129 ),
inference(forward_demodulation,[],[f751,f973]) ).
fof(f973,plain,
( sk3 = app(sk6,cons(sk5,sk3))
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f972]) ).
fof(f751,plain,
( ~ ssList(sk6)
| sk3 != app(sk6,cons(sk5,sk3))
| ~ ssItem(sk5)
| ~ spl0_100
| ~ spl0_101 ),
inference(trivial_inequality_removal,[],[f750]) ).
fof(f750,plain,
( sk4 != sk4
| ~ ssList(sk6)
| sk3 != app(sk6,cons(sk5,sk3))
| ~ ssItem(sk5)
| ~ spl0_100
| ~ spl0_101 ),
inference(superposition,[],[f748,f742]) ).
fof(f742,plain,
( sk4 = app(cons(sk5,sk3),sk6)
| ~ spl0_100 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f748,plain,
( ! [X6,X7] :
( sk4 != app(cons(X6,sk3),X7)
| ~ ssList(X7)
| sk3 != app(X7,cons(X6,sk3))
| ~ ssItem(X6) )
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f1219,plain,
spl0_149,
inference(avatar_split_clause,[],[f212,f1217]) ).
fof(f1217,plain,
( spl0_149
<=> ! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| singletonP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f212,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| singletonP(cons(X0,nil)) ),
inference(equality_resolution,[],[f116]) ).
fof(f116,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1)
| cons(X0,nil) != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
fof(f1215,plain,
spl0_148,
inference(avatar_split_clause,[],[f114,f1213]) ).
fof(f1213,plain,
( spl0_148
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0)
| ~ lt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f114,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0)
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
fof(f1211,plain,
spl0_147,
inference(avatar_split_clause,[],[f110,f1209]) ).
fof(f1209,plain,
( spl0_147
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X1,X0)
| ~ gt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f110,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X1,X0)
| ~ gt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
fof(f1207,plain,
spl0_146,
inference(avatar_split_clause,[],[f108,f1205]) ).
fof(f1205,plain,
( spl0_146
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| geq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f108,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| geq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
fof(f1203,plain,
spl0_145,
inference(avatar_split_clause,[],[f107,f1201]) ).
fof(f1201,plain,
( spl0_145
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X0,X1)
| leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f107,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X0,X1)
| leq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
fof(f1199,plain,
spl0_144,
inference(avatar_split_clause,[],[f106,f1197]) ).
fof(f1197,plain,
( spl0_144
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| gt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f106,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
fof(f1195,plain,
spl0_143,
inference(avatar_split_clause,[],[f105,f1193]) ).
fof(f1193,plain,
( spl0_143
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X0,X1)
| lt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f105,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X0,X1)
| lt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
fof(f1191,plain,
spl0_142,
inference(avatar_split_clause,[],[f103,f1189]) ).
fof(f1189,plain,
( spl0_142
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1)
| leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f103,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1)
| leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f1187,plain,
spl0_141,
inference(avatar_split_clause,[],[f102,f1185]) ).
fof(f1185,plain,
( spl0_141
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| X0 = X1
| neq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f102,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| X0 = X1
| neq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
fof(f1183,plain,
spl0_140,
inference(avatar_split_clause,[],[f101,f1181]) ).
fof(f1181,plain,
( spl0_140
<=> ! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f101,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f1179,plain,
spl0_139,
inference(avatar_split_clause,[],[f100,f1177]) ).
fof(f1177,plain,
( spl0_139
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1
| neq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f100,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1
| neq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f1175,plain,
spl0_138,
inference(avatar_split_clause,[],[f97,f1173]) ).
fof(f1173,plain,
( spl0_138
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f97,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
fof(f1171,plain,
spl0_137,
inference(avatar_split_clause,[],[f96,f1169]) ).
fof(f1169,plain,
( spl0_137
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
fof(f1167,plain,
( spl0_136
| ~ spl0_31
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f1053,f698,f421,f1164]) ).
fof(f1164,plain,
( spl0_136
<=> duplicatefreeP(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f698,plain,
( spl0_98
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f1053,plain,
( duplicatefreeP(sk6)
| ~ spl0_31
| ~ spl0_98 ),
inference(resolution,[],[f699,f423]) ).
fof(f423,plain,
( ssList(sk6)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f699,plain,
( ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) )
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f1162,plain,
spl0_135,
inference(avatar_split_clause,[],[f233,f1160]) ).
fof(f1160,plain,
( spl0_135
<=> ! [X2,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f233,plain,
! [X2,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1) ),
inference(duplicate_literal_removal,[],[f216]) ).
fof(f216,plain,
! [X2,X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1) ),
inference(equality_resolution,[],[f138]) ).
fof(f138,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| X0 != X1
| memberP(cons(X1,X2),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).
fof(f1158,plain,
spl0_134,
inference(avatar_split_clause,[],[f99,f1156]) ).
fof(f1156,plain,
( spl0_134
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) != X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f99,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f1137,plain,
spl0_133,
inference(avatar_split_clause,[],[f76,f1135]) ).
fof(f1135,plain,
( spl0_133
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f76,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
fof(f1065,plain,
( spl0_132
| ~ spl0_2
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f1052,f698,f246,f1062]) ).
fof(f1062,plain,
( spl0_132
<=> duplicatefreeP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f246,plain,
( spl0_2
<=> ssList(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1052,plain,
( duplicatefreeP(sk4)
| ~ spl0_2
| ~ spl0_98 ),
inference(resolution,[],[f699,f248]) ).
fof(f248,plain,
( ssList(sk4)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f1058,plain,
( spl0_5
| spl0_131 ),
inference(avatar_split_clause,[],[f206,f1056,f260]) ).
fof(f260,plain,
( spl0_5
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f206,plain,
! [X6,X7] :
( ~ ssItem(X6)
| ~ ssList(X7)
| nil = sk4
| sk3 != app(X7,cons(X6,nil))
| sk4 != app(cons(X6,nil),X7) ),
inference(definition_unfolding,[],[f198,f190,f191,f190]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f198,axiom,
! [X6,X7] :
( ~ ssItem(X6)
| ~ ssList(X7)
| nil = sk2
| sk1 != app(X7,cons(X6,nil))
| sk2 != app(cons(X6,nil),X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f1018,plain,
( spl0_33
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f196,f251,f432]) ).
fof(f196,axiom,
( ~ neq(sk4,nil)
| sk3 = app(sk6,cons(sk5,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f1015,plain,
( ~ spl0_9
| spl0_99
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f744,f740,f735,f281]) ).
fof(f281,plain,
( spl0_9
<=> sk3 = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f735,plain,
( spl0_99
<=> sk3 = app(cons(sk5,sk3),sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f744,plain,
( sk3 != sk4
| spl0_99
| ~ spl0_100 ),
inference(superposition,[],[f737,f742]) ).
fof(f737,plain,
( sk3 != app(cons(sk5,sk3),sk6)
| spl0_99 ),
inference(avatar_component_clause,[],[f735]) ).
fof(f1014,plain,
( spl0_9
| ~ spl0_32
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f1013,f1009,f427,f281]) ).
fof(f427,plain,
( spl0_32
<=> sk3 = app(cons(sk5,nil),sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f1013,plain,
( sk3 = sk4
| ~ spl0_32
| ~ spl0_130 ),
inference(forward_demodulation,[],[f1011,f429]) ).
fof(f429,plain,
( sk3 = app(cons(sk5,nil),sk6)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f1012,plain,
( spl0_130
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f195,f251,f1009]) ).
fof(f195,axiom,
( ~ neq(sk4,nil)
| sk4 = app(cons(sk5,nil),sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f1002,plain,
( spl0_36
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f702,f281,f266,f445]) ).
fof(f445,plain,
( spl0_36
<=> neq(sk3,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f266,plain,
( spl0_6
<=> neq(sk4,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f702,plain,
( neq(sk3,sk3)
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f268,f283]) ).
fof(f283,plain,
( sk3 = sk4
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f268,plain,
( neq(sk4,sk3)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f980,plain,
( spl0_31
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f978,f270,f266,f421]) ).
fof(f270,plain,
( spl0_7
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f978,plain,
( ~ neq(sk4,sk3)
| ssList(sk6)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f194,f271]) ).
fof(f271,plain,
( nil = sk3
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f976,plain,
( ~ spl0_6
| spl0_129
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f969,f270,f972,f266]) ).
fof(f969,plain,
( sk3 = app(sk6,cons(sk5,sk3))
| ~ neq(sk4,sk3)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f968,f271]) ).
fof(f968,plain,
( ~ neq(sk4,sk3)
| sk3 = app(sk6,cons(sk5,nil))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f196,f271]) ).
fof(f975,plain,
( ~ spl0_129
| ~ spl0_7
| spl0_33 ),
inference(avatar_split_clause,[],[f970,f432,f270,f972]) ).
fof(f970,plain,
( sk3 != app(sk6,cons(sk5,sk3))
| ~ spl0_7
| spl0_33 ),
inference(forward_demodulation,[],[f433,f271]) ).
fof(f433,plain,
( sk3 != app(sk6,cons(sk5,nil))
| spl0_33 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f967,plain,
( ~ spl0_4
| ~ spl0_31
| ~ spl0_7
| ~ spl0_33
| ~ spl0_100
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f753,f747,f740,f432,f270,f421,f255]) ).
fof(f753,plain,
( ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ spl0_7
| ~ spl0_33
| ~ spl0_100
| ~ spl0_101 ),
inference(trivial_inequality_removal,[],[f752]) ).
fof(f752,plain,
( sk3 != sk3
| ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ spl0_7
| ~ spl0_33
| ~ spl0_100
| ~ spl0_101 ),
inference(forward_demodulation,[],[f751,f714]) ).
fof(f714,plain,
( sk3 = app(sk6,cons(sk5,sk3))
| ~ spl0_7
| ~ spl0_33 ),
inference(superposition,[],[f434,f271]) ).
fof(f966,plain,
( spl0_128
| ~ spl0_7
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f955,f952,f270,f964]) ).
fof(f964,plain,
( spl0_128
<=> ! [X0,X1] :
( cons(X0,X1) != sk3
| ~ ssItem(X0)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f952,plain,
( spl0_126
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil != cons(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f955,plain,
( ! [X0,X1] :
( cons(X0,X1) != sk3
| ~ ssItem(X0)
| ~ ssList(X1) )
| ~ spl0_7
| ~ spl0_126 ),
inference(forward_demodulation,[],[f953,f271]) ).
fof(f953,plain,
( ! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f952]) ).
fof(f962,plain,
( spl0_127
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f958,f270,f960]) ).
fof(f960,plain,
( spl0_127
<=> ! [X0] :
( sk3 = X0
| ~ ssList(X0)
| ssItem(hd(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f958,plain,
( ! [X0] :
( sk3 = X0
| ~ ssList(X0)
| ssItem(hd(X0)) )
| ~ spl0_7 ),
inference(forward_demodulation,[],[f76,f271]) ).
fof(f957,plain,
( ~ spl0_97
| spl0_110 ),
inference(avatar_contradiction_clause,[],[f956]) ).
fof(f956,plain,
( $false
| ~ spl0_97
| spl0_110 ),
inference(resolution,[],[f871,f696]) ).
fof(f696,plain,
( ! [X1] : ssItem(X1)
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f695,plain,
( spl0_97
<=> ! [X1] : ssItem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f871,plain,
( ~ ssItem(sk3)
| spl0_110 ),
inference(avatar_component_clause,[],[f869]) ).
fof(f869,plain,
( spl0_110
<=> ssItem(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f954,plain,
spl0_126,
inference(avatar_split_clause,[],[f98,f952]) ).
fof(f98,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil != cons(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f950,plain,
spl0_125,
inference(avatar_split_clause,[],[f95,f948]) ).
fof(f948,plain,
( spl0_125
<=> ! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf54(X0),skaf55(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f95,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf54(X0),skaf55(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
fof(f946,plain,
spl0_124,
inference(avatar_split_clause,[],[f94,f944]) ).
fof(f944,plain,
( spl0_124
<=> ! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf55(X0),skaf54(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f94,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf55(X0),skaf54(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
fof(f942,plain,
spl0_123,
inference(avatar_split_clause,[],[f93,f940]) ).
fof(f940,plain,
( spl0_123
<=> ! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf59(X0),skaf60(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f93,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf59(X0),skaf60(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
fof(f938,plain,
spl0_122,
inference(avatar_split_clause,[],[f92,f936]) ).
fof(f936,plain,
( spl0_122
<=> ! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf60(X0),skaf59(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f92,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf60(X0),skaf59(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
fof(f934,plain,
spl0_121,
inference(avatar_split_clause,[],[f91,f932]) ).
fof(f932,plain,
( spl0_121
<=> ! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| ~ leq(skaf64(X0),skaf65(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f91,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| ~ leq(skaf64(X0),skaf65(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
fof(f930,plain,
spl0_120,
inference(avatar_split_clause,[],[f90,f928]) ).
fof(f928,plain,
( spl0_120
<=> ! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| ~ lt(skaf69(X0),skaf70(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f90,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| ~ lt(skaf69(X0),skaf70(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
fof(f926,plain,
spl0_119,
inference(avatar_split_clause,[],[f89,f924]) ).
fof(f924,plain,
( spl0_119
<=> ! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| skaf79(X0) != skaf78(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f89,axiom,
! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| skaf79(X0) != skaf78(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
fof(f922,plain,
spl0_118,
inference(avatar_split_clause,[],[f88,f920]) ).
fof(f920,plain,
( spl0_118
<=> ! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf49(X0),skaf50(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f88,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf49(X0),skaf50(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
fof(f918,plain,
spl0_117,
inference(avatar_split_clause,[],[f87,f916]) ).
fof(f916,plain,
( spl0_117
<=> ! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf50(X0),skaf49(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f87,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf50(X0),skaf49(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
fof(f913,plain,
( ~ spl0_1
| ~ spl0_36
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f770,f651,f445,f241]) ).
fof(f241,plain,
( spl0_1
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f651,plain,
( spl0_87
<=> ! [X1] :
( ~ ssList(X1)
| ~ neq(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f770,plain,
( ~ ssList(sk3)
| ~ spl0_36
| ~ spl0_87 ),
inference(resolution,[],[f446,f652]) ).
fof(f652,plain,
( ! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) )
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f446,plain,
( neq(sk3,sk3)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f906,plain,
spl0_116,
inference(avatar_split_clause,[],[f86,f904]) ).
fof(f904,plain,
( spl0_116
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ssList(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f86,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ssList(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f902,plain,
spl0_115,
inference(avatar_split_clause,[],[f85,f900]) ).
fof(f900,plain,
( spl0_115
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f85,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f895,plain,
( spl0_114
| ~ spl0_7
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f891,f887,f270,f893]) ).
fof(f893,plain,
( spl0_114
<=> ! [X0] :
( sk3 = X0
| ~ frontsegP(sk3,X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f887,plain,
( spl0_113
<=> ! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f891,plain,
( ! [X0] :
( sk3 = X0
| ~ frontsegP(sk3,X0)
| ~ ssList(X0) )
| ~ spl0_7
| ~ spl0_113 ),
inference(forward_demodulation,[],[f890,f271]) ).
fof(f890,plain,
( ! [X0] :
( ~ frontsegP(sk3,X0)
| ~ ssList(X0)
| nil = X0 )
| ~ spl0_7
| ~ spl0_113 ),
inference(forward_demodulation,[],[f888,f271]) ).
fof(f888,plain,
( ! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 )
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f887]) ).
fof(f889,plain,
spl0_113,
inference(avatar_split_clause,[],[f84,f887]) ).
fof(f84,axiom,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
fof(f882,plain,
( spl0_112
| ~ spl0_7
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f878,f874,f270,f880]) ).
fof(f880,plain,
( spl0_112
<=> ! [X0] :
( sk3 = X0
| ~ rearsegP(sk3,X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f874,plain,
( spl0_111
<=> ! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f878,plain,
( ! [X0] :
( sk3 = X0
| ~ rearsegP(sk3,X0)
| ~ ssList(X0) )
| ~ spl0_7
| ~ spl0_111 ),
inference(forward_demodulation,[],[f877,f271]) ).
fof(f877,plain,
( ! [X0] :
( ~ rearsegP(sk3,X0)
| ~ ssList(X0)
| nil = X0 )
| ~ spl0_7
| ~ spl0_111 ),
inference(forward_demodulation,[],[f875,f271]) ).
fof(f875,plain,
( ! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 )
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f876,plain,
spl0_111,
inference(avatar_split_clause,[],[f82,f874]) ).
fof(f82,axiom,
! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
fof(f872,plain,
( ~ spl0_110
| ~ spl0_36
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f769,f655,f445,f869]) ).
fof(f655,plain,
( spl0_88
<=> ! [X1] :
( ~ ssItem(X1)
| ~ neq(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f769,plain,
( ~ ssItem(sk3)
| ~ spl0_36
| ~ spl0_88 ),
inference(resolution,[],[f446,f656]) ).
fof(f656,plain,
( ! [X1] :
( ~ neq(X1,X1)
| ~ ssItem(X1) )
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f864,plain,
( spl0_109
| ~ spl0_7
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f860,f856,f270,f862]) ).
fof(f862,plain,
( spl0_109
<=> ! [X0] :
( sk3 = X0
| ~ segmentP(sk3,X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f856,plain,
( spl0_108
<=> ! [X0] :
( ~ ssList(X0)
| ~ segmentP(nil,X0)
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f860,plain,
( ! [X0] :
( sk3 = X0
| ~ segmentP(sk3,X0)
| ~ ssList(X0) )
| ~ spl0_7
| ~ spl0_108 ),
inference(forward_demodulation,[],[f859,f271]) ).
fof(f859,plain,
( ! [X0] :
( ~ segmentP(sk3,X0)
| ~ ssList(X0)
| nil = X0 )
| ~ spl0_7
| ~ spl0_108 ),
inference(forward_demodulation,[],[f857,f271]) ).
fof(f857,plain,
( ! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 )
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f858,plain,
spl0_108,
inference(avatar_split_clause,[],[f80,f856]) ).
fof(f80,axiom,
! [X0] :
( ~ ssList(X0)
| ~ segmentP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f852,plain,
( spl0_107
| ~ spl0_7
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f848,f845,f270,f850]) ).
fof(f850,plain,
( spl0_107
<=> ! [X0] :
( sk3 = X0
| ~ ssList(X0)
| ssList(tl(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f845,plain,
( spl0_106
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f848,plain,
( ! [X0] :
( sk3 = X0
| ~ ssList(X0)
| ssList(tl(X0)) )
| ~ spl0_7
| ~ spl0_106 ),
inference(forward_demodulation,[],[f846,f271]) ).
fof(f846,plain,
( ! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) )
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f845]) ).
fof(f847,plain,
spl0_106,
inference(avatar_split_clause,[],[f77,f845]) ).
fof(f77,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
fof(f811,plain,
( spl0_105
| ~ spl0_7
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f807,f804,f270,f809]) ).
fof(f809,plain,
( spl0_105
<=> ! [X0] :
( app(sk3,X0) = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f804,plain,
( spl0_104
<=> ! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f807,plain,
( ! [X0] :
( app(sk3,X0) = X0
| ~ ssList(X0) )
| ~ spl0_7
| ~ spl0_104 ),
inference(forward_demodulation,[],[f805,f271]) ).
fof(f805,plain,
( ! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 )
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f804]) ).
fof(f806,plain,
spl0_104,
inference(avatar_split_clause,[],[f74,f804]) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f768,plain,
( spl0_103
| ~ spl0_7
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f764,f761,f270,f766]) ).
fof(f766,plain,
( spl0_103
<=> ! [X0] :
( app(X0,sk3) = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f761,plain,
( spl0_102
<=> ! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f764,plain,
( ! [X0] :
( app(X0,sk3) = X0
| ~ ssList(X0) )
| ~ spl0_7
| ~ spl0_102 ),
inference(forward_demodulation,[],[f762,f271]) ).
fof(f762,plain,
( ! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 )
| ~ spl0_102 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f763,plain,
spl0_102,
inference(avatar_split_clause,[],[f73,f761]) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f749,plain,
( spl0_101
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f722,f270,f747]) ).
fof(f722,plain,
( ! [X6,X7] :
( ~ ssItem(X6)
| ~ ssList(X7)
| sk3 != app(X7,cons(X6,sk3))
| sk4 != app(cons(X6,sk3),X7) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f721]) ).
fof(f721,plain,
( ! [X6,X7] :
( sk3 != sk3
| ~ ssItem(X6)
| ~ ssList(X7)
| sk3 != app(X7,cons(X6,sk3))
| sk4 != app(cons(X6,sk3),X7) )
| ~ spl0_7 ),
inference(forward_demodulation,[],[f239,f271]) ).
fof(f239,plain,
! [X6,X7] :
( ~ ssItem(X6)
| ~ ssList(X7)
| nil != sk3
| sk3 != app(X7,cons(X6,sk3))
| sk4 != app(cons(X6,sk3),X7) ),
inference(inner_rewriting,[],[f205]) ).
fof(f205,plain,
! [X6,X7] :
( ~ ssItem(X6)
| ~ ssList(X7)
| nil != sk3
| sk3 != app(X7,cons(X6,nil))
| sk4 != app(cons(X6,nil),X7) ),
inference(definition_unfolding,[],[f200,f191,f191,f190]) ).
fof(f200,axiom,
! [X6,X7] :
( ~ ssItem(X6)
| ~ ssList(X7)
| nil != sk1
| sk1 != app(X7,cons(X6,nil))
| sk2 != app(cons(X6,nil),X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f745,plain,
( spl0_36
| ~ spl0_7
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f712,f416,f270,f445]) ).
fof(f416,plain,
( spl0_30
<=> neq(sk3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f712,plain,
( neq(sk3,sk3)
| ~ spl0_7
| ~ spl0_30 ),
inference(superposition,[],[f418,f271]) ).
fof(f418,plain,
( neq(sk3,nil)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f743,plain,
( ~ spl0_6
| spl0_100
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f732,f270,f740,f266]) ).
fof(f732,plain,
( sk4 = app(cons(sk5,sk3),sk6)
| ~ neq(sk4,sk3)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f728,f271]) ).
fof(f728,plain,
( ~ neq(sk4,sk3)
| sk4 = app(cons(sk5,nil),sk6)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f195,f271]) ).
fof(f738,plain,
( ~ spl0_99
| ~ spl0_7
| spl0_32 ),
inference(avatar_split_clause,[],[f733,f427,f270,f735]) ).
fof(f733,plain,
( sk3 != app(cons(sk5,sk3),sk6)
| ~ spl0_7
| spl0_32 ),
inference(forward_demodulation,[],[f428,f271]) ).
fof(f428,plain,
( sk3 != app(cons(sk5,nil),sk6)
| spl0_32 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f731,plain,
( ~ spl0_6
| spl0_9
| ~ spl0_7
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f729,f427,f270,f281,f266]) ).
fof(f729,plain,
( sk3 = sk4
| ~ neq(sk4,sk3)
| ~ spl0_7
| ~ spl0_32 ),
inference(forward_demodulation,[],[f728,f429]) ).
fof(f730,plain,
( ~ spl0_9
| spl0_5
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f724,f270,f260,f281]) ).
fof(f724,plain,
( sk3 != sk4
| spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f261,f271]) ).
fof(f261,plain,
( nil != sk4
| spl0_5 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f720,plain,
( ~ spl0_7
| spl0_5
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f413,f281,f260,f270]) ).
fof(f413,plain,
( nil != sk3
| spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f261,f283]) ).
fof(f701,plain,
( ~ spl0_4
| ~ spl0_31
| ~ spl0_32
| ~ spl0_33
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f665,f659,f432,f427,f421,f255]) ).
fof(f659,plain,
( spl0_89
<=> ! [X6,X7] :
( sk3 != app(cons(X6,nil),X7)
| sk3 != app(X7,cons(X6,nil))
| ~ ssList(X7)
| ~ ssItem(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f665,plain,
( ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ spl0_32
| ~ spl0_33
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f664]) ).
fof(f664,plain,
( sk3 != sk3
| ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ spl0_32
| ~ spl0_33
| ~ spl0_89 ),
inference(forward_demodulation,[],[f663,f434]) ).
fof(f663,plain,
( sk3 != app(sk6,cons(sk5,nil))
| ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ spl0_32
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f662]) ).
fof(f662,plain,
( sk3 != sk3
| sk3 != app(sk6,cons(sk5,nil))
| ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ spl0_32
| ~ spl0_89 ),
inference(superposition,[],[f660,f429]) ).
fof(f660,plain,
( ! [X6,X7] :
( sk3 != app(cons(X6,nil),X7)
| sk3 != app(X7,cons(X6,nil))
| ~ ssList(X7)
| ~ ssItem(X6) )
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f700,plain,
( spl0_97
| spl0_98 ),
inference(avatar_split_clause,[],[f72,f698,f695]) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f693,plain,
spl0_96,
inference(avatar_split_clause,[],[f70,f691]) ).
fof(f691,plain,
( spl0_96
<=> ! [X0] :
( ~ ssItem(X0)
| cyclefreeP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f70,axiom,
! [X0] :
( ~ ssItem(X0)
| cyclefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
fof(f689,plain,
spl0_95,
inference(avatar_split_clause,[],[f69,f687]) ).
fof(f687,plain,
( spl0_95
<=> ! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f69,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
fof(f685,plain,
spl0_94,
inference(avatar_split_clause,[],[f68,f683]) ).
fof(f683,plain,
( spl0_94
<=> ! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f68,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
fof(f681,plain,
spl0_93,
inference(avatar_split_clause,[],[f67,f679]) ).
fof(f679,plain,
( spl0_93
<=> ! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f67,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f677,plain,
spl0_92,
inference(avatar_split_clause,[],[f66,f675]) ).
fof(f675,plain,
( spl0_92
<=> ! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f66,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f673,plain,
spl0_91,
inference(avatar_split_clause,[],[f65,f671]) ).
fof(f671,plain,
( spl0_91
<=> ! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f65,axiom,
! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f669,plain,
spl0_90,
inference(avatar_split_clause,[],[f64,f667]) ).
fof(f667,plain,
( spl0_90
<=> ! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f64,axiom,
! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f661,plain,
( spl0_7
| spl0_89
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f412,f281,f659,f270]) ).
fof(f412,plain,
( ! [X6,X7] :
( sk3 != app(cons(X6,nil),X7)
| nil = sk3
| ~ ssItem(X6)
| ~ ssList(X7)
| sk3 != app(X7,cons(X6,nil)) )
| ~ spl0_9 ),
inference(forward_demodulation,[],[f411,f283]) ).
fof(f411,plain,
( ! [X6,X7] :
( nil = sk3
| ~ ssItem(X6)
| ~ ssList(X7)
| sk3 != app(X7,cons(X6,nil))
| sk4 != app(cons(X6,nil),X7) )
| ~ spl0_9 ),
inference(forward_demodulation,[],[f206,f283]) ).
fof(f657,plain,
spl0_88,
inference(avatar_split_clause,[],[f236,f655]) ).
fof(f236,plain,
! [X1] :
( ~ ssItem(X1)
| ~ neq(X1,X1) ),
inference(duplicate_literal_removal,[],[f210]) ).
fof(f210,plain,
! [X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f117]) ).
fof(f117,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| X0 != X1
| ~ neq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
fof(f653,plain,
spl0_87,
inference(avatar_split_clause,[],[f234,f651]) ).
fof(f234,plain,
! [X1] :
( ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(duplicate_literal_removal,[],[f215]) ).
fof(f215,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f115]) ).
fof(f115,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 != X1
| ~ neq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
fof(f649,plain,
spl0_86,
inference(avatar_split_clause,[],[f71,f647]) ).
fof(f647,plain,
( spl0_86
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f71,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f645,plain,
spl0_85,
inference(avatar_split_clause,[],[f63,f643]) ).
fof(f643,plain,
( spl0_85
<=> ! [X0] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f63,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
fof(f641,plain,
spl0_84,
inference(avatar_split_clause,[],[f62,f639]) ).
fof(f639,plain,
( spl0_84
<=> ! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f62,axiom,
! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
fof(f637,plain,
spl0_83,
inference(avatar_split_clause,[],[f61,f635]) ).
fof(f635,plain,
( spl0_83
<=> ! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f61,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
fof(f633,plain,
spl0_82,
inference(avatar_split_clause,[],[f60,f631]) ).
fof(f631,plain,
( spl0_82
<=> ! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f60,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
fof(f629,plain,
spl0_81,
inference(avatar_split_clause,[],[f59,f627]) ).
fof(f627,plain,
( spl0_81
<=> ! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f59,axiom,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
fof(f625,plain,
spl0_80,
inference(avatar_split_clause,[],[f58,f623]) ).
fof(f623,plain,
( spl0_80
<=> ! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f58,axiom,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
fof(f621,plain,
spl0_79,
inference(avatar_split_clause,[],[f57,f619]) ).
fof(f619,plain,
( spl0_79
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f57,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
fof(f617,plain,
spl0_78,
inference(avatar_split_clause,[],[f56,f615]) ).
fof(f615,plain,
( spl0_78
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f56,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
fof(f613,plain,
spl0_77,
inference(avatar_split_clause,[],[f55,f611]) ).
fof(f611,plain,
( spl0_77
<=> ! [X0] :
( ~ ssItem(X0)
| geq(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f55,axiom,
! [X0] :
( ~ ssItem(X0)
| geq(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
fof(f609,plain,
spl0_76,
inference(avatar_split_clause,[],[f53,f607]) ).
fof(f607,plain,
( spl0_76
<=> ! [X0,X1] : ssList(skaf42(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
fof(f605,plain,
spl0_75,
inference(avatar_split_clause,[],[f52,f603]) ).
fof(f603,plain,
( spl0_75
<=> ! [X0,X1] : ssList(skaf43(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f601,plain,
spl0_74,
inference(avatar_split_clause,[],[f51,f599]) ).
fof(f599,plain,
( spl0_74
<=> ! [X0,X1] : ssList(skaf45(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f597,plain,
spl0_73,
inference(avatar_split_clause,[],[f50,f595]) ).
fof(f595,plain,
( spl0_73
<=> ! [X0,X1] : ssList(skaf46(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f593,plain,
spl0_72,
inference(avatar_split_clause,[],[f49,f591]) ).
fof(f591,plain,
( spl0_72
<=> ! [X0,X1] : ssList(skaf47(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f49,axiom,
! [X0,X1] : ssList(skaf47(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
fof(f589,plain,
spl0_71,
inference(avatar_split_clause,[],[f48,f587]) ).
fof(f587,plain,
( spl0_71
<=> ! [X0,X1] : ssList(skaf48(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f48,axiom,
! [X0,X1] : ssList(skaf48(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f585,plain,
~ spl0_70,
inference(avatar_split_clause,[],[f54,f582]) ).
fof(f582,plain,
( spl0_70
<=> skac3 = skac2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f54,axiom,
skac3 != skac2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
fof(f580,plain,
spl0_69,
inference(avatar_split_clause,[],[f47,f578]) ).
fof(f578,plain,
( spl0_69
<=> ! [X0] : ssItem(skaf44(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f576,plain,
spl0_68,
inference(avatar_split_clause,[],[f46,f574]) ).
fof(f574,plain,
( spl0_68
<=> ! [X0] : ssItem(skaf49(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f46,axiom,
! [X0] : ssItem(skaf49(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
fof(f572,plain,
spl0_67,
inference(avatar_split_clause,[],[f45,f570]) ).
fof(f570,plain,
( spl0_67
<=> ! [X0] : ssItem(skaf50(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f45,axiom,
! [X0] : ssItem(skaf50(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
fof(f568,plain,
spl0_66,
inference(avatar_split_clause,[],[f44,f566]) ).
fof(f566,plain,
( spl0_66
<=> ! [X0] : ssList(skaf51(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f44,axiom,
! [X0] : ssList(skaf51(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f564,plain,
spl0_65,
inference(avatar_split_clause,[],[f43,f562]) ).
fof(f562,plain,
( spl0_65
<=> ! [X0] : ssList(skaf52(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f43,axiom,
! [X0] : ssList(skaf52(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
fof(f560,plain,
spl0_64,
inference(avatar_split_clause,[],[f42,f558]) ).
fof(f558,plain,
( spl0_64
<=> ! [X0] : ssList(skaf53(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f42,axiom,
! [X0] : ssList(skaf53(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
fof(f556,plain,
spl0_63,
inference(avatar_split_clause,[],[f41,f554]) ).
fof(f554,plain,
( spl0_63
<=> ! [X0] : ssItem(skaf54(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f41,axiom,
! [X0] : ssItem(skaf54(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
fof(f552,plain,
spl0_62,
inference(avatar_split_clause,[],[f40,f550]) ).
fof(f550,plain,
( spl0_62
<=> ! [X0] : ssItem(skaf55(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f40,axiom,
! [X0] : ssItem(skaf55(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
fof(f548,plain,
spl0_61,
inference(avatar_split_clause,[],[f39,f546]) ).
fof(f546,plain,
( spl0_61
<=> ! [X0] : ssList(skaf56(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f39,axiom,
! [X0] : ssList(skaf56(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
fof(f544,plain,
spl0_60,
inference(avatar_split_clause,[],[f38,f542]) ).
fof(f542,plain,
( spl0_60
<=> ! [X0] : ssList(skaf57(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f38,axiom,
! [X0] : ssList(skaf57(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
fof(f540,plain,
spl0_59,
inference(avatar_split_clause,[],[f37,f538]) ).
fof(f538,plain,
( spl0_59
<=> ! [X0] : ssList(skaf58(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f37,axiom,
! [X0] : ssList(skaf58(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
fof(f536,plain,
spl0_58,
inference(avatar_split_clause,[],[f36,f534]) ).
fof(f534,plain,
( spl0_58
<=> ! [X0] : ssItem(skaf59(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f36,axiom,
! [X0] : ssItem(skaf59(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
fof(f532,plain,
spl0_57,
inference(avatar_split_clause,[],[f35,f530]) ).
fof(f530,plain,
( spl0_57
<=> ! [X0] : ssItem(skaf60(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f35,axiom,
! [X0] : ssItem(skaf60(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
fof(f528,plain,
spl0_56,
inference(avatar_split_clause,[],[f34,f526]) ).
fof(f526,plain,
( spl0_56
<=> ! [X0] : ssList(skaf61(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f34,axiom,
! [X0] : ssList(skaf61(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
fof(f524,plain,
spl0_55,
inference(avatar_split_clause,[],[f33,f522]) ).
fof(f522,plain,
( spl0_55
<=> ! [X0] : ssList(skaf62(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f33,axiom,
! [X0] : ssList(skaf62(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
fof(f520,plain,
spl0_54,
inference(avatar_split_clause,[],[f32,f518]) ).
fof(f518,plain,
( spl0_54
<=> ! [X0] : ssList(skaf63(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f32,axiom,
! [X0] : ssList(skaf63(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).
fof(f516,plain,
spl0_53,
inference(avatar_split_clause,[],[f31,f514]) ).
fof(f514,plain,
( spl0_53
<=> ! [X0] : ssItem(skaf64(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f31,axiom,
! [X0] : ssItem(skaf64(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
fof(f512,plain,
spl0_52,
inference(avatar_split_clause,[],[f30,f510]) ).
fof(f510,plain,
( spl0_52
<=> ! [X0] : ssItem(skaf65(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f30,axiom,
! [X0] : ssItem(skaf65(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
fof(f508,plain,
spl0_51,
inference(avatar_split_clause,[],[f29,f506]) ).
fof(f506,plain,
( spl0_51
<=> ! [X0] : ssList(skaf66(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f29,axiom,
! [X0] : ssList(skaf66(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).
fof(f504,plain,
spl0_50,
inference(avatar_split_clause,[],[f28,f502]) ).
fof(f502,plain,
( spl0_50
<=> ! [X0] : ssList(skaf67(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f28,axiom,
! [X0] : ssList(skaf67(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).
fof(f500,plain,
spl0_49,
inference(avatar_split_clause,[],[f27,f498]) ).
fof(f498,plain,
( spl0_49
<=> ! [X0] : ssList(skaf68(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f27,axiom,
! [X0] : ssList(skaf68(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
fof(f496,plain,
spl0_48,
inference(avatar_split_clause,[],[f26,f494]) ).
fof(f494,plain,
( spl0_48
<=> ! [X0] : ssItem(skaf69(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f26,axiom,
! [X0] : ssItem(skaf69(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).
fof(f492,plain,
spl0_47,
inference(avatar_split_clause,[],[f25,f490]) ).
fof(f490,plain,
( spl0_47
<=> ! [X0] : ssItem(skaf70(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f25,axiom,
! [X0] : ssItem(skaf70(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).
fof(f488,plain,
spl0_46,
inference(avatar_split_clause,[],[f24,f486]) ).
fof(f486,plain,
( spl0_46
<=> ! [X0] : ssList(skaf71(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f24,axiom,
! [X0] : ssList(skaf71(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).
fof(f484,plain,
spl0_45,
inference(avatar_split_clause,[],[f23,f482]) ).
fof(f482,plain,
( spl0_45
<=> ! [X0] : ssList(skaf72(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f23,axiom,
! [X0] : ssList(skaf72(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).
fof(f480,plain,
spl0_44,
inference(avatar_split_clause,[],[f22,f478]) ).
fof(f478,plain,
( spl0_44
<=> ! [X0] : ssList(skaf73(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f22,axiom,
! [X0] : ssList(skaf73(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).
fof(f476,plain,
spl0_43,
inference(avatar_split_clause,[],[f21,f474]) ).
fof(f474,plain,
( spl0_43
<=> ! [X0] : ssItem(skaf74(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f21,axiom,
! [X0] : ssItem(skaf74(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).
fof(f472,plain,
spl0_42,
inference(avatar_split_clause,[],[f20,f470]) ).
fof(f470,plain,
( spl0_42
<=> ! [X0] : ssList(skaf75(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f20,axiom,
! [X0] : ssList(skaf75(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
fof(f468,plain,
spl0_41,
inference(avatar_split_clause,[],[f19,f466]) ).
fof(f466,plain,
( spl0_41
<=> ! [X0] : ssList(skaf76(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f19,axiom,
! [X0] : ssList(skaf76(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).
fof(f464,plain,
spl0_40,
inference(avatar_split_clause,[],[f18,f462]) ).
fof(f462,plain,
( spl0_40
<=> ! [X0] : ssList(skaf77(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f18,axiom,
! [X0] : ssList(skaf77(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).
fof(f460,plain,
spl0_39,
inference(avatar_split_clause,[],[f17,f458]) ).
fof(f458,plain,
( spl0_39
<=> ! [X0] : ssItem(skaf78(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f17,axiom,
! [X0] : ssItem(skaf78(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).
fof(f456,plain,
spl0_38,
inference(avatar_split_clause,[],[f16,f454]) ).
fof(f454,plain,
( spl0_38
<=> ! [X0] : ssItem(skaf79(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f16,axiom,
! [X0] : ssItem(skaf79(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).
fof(f452,plain,
spl0_37,
inference(avatar_split_clause,[],[f15,f450]) ).
fof(f450,plain,
( spl0_37
<=> ! [X0] : ssList(skaf80(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f15,axiom,
! [X0] : ssList(skaf80(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).
fof(f448,plain,
( ~ spl0_36
| spl0_6
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f285,f281,f266,f445]) ).
fof(f285,plain,
( ~ neq(sk3,sk3)
| spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f267,f283]) ).
fof(f267,plain,
( ~ neq(sk4,sk3)
| spl0_6 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f443,plain,
spl0_35,
inference(avatar_split_clause,[],[f14,f441]) ).
fof(f441,plain,
( spl0_35
<=> ! [X0] : ssList(skaf81(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f14,axiom,
! [X0] : ssList(skaf81(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).
fof(f439,plain,
spl0_34,
inference(avatar_split_clause,[],[f13,f437]) ).
fof(f437,plain,
( spl0_34
<=> ! [X0] : ssList(skaf82(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
fof(f435,plain,
( spl0_33
| ~ spl0_30
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f409,f281,f416,f432]) ).
fof(f409,plain,
( ~ neq(sk3,nil)
| sk3 = app(sk6,cons(sk5,nil))
| ~ spl0_9 ),
inference(forward_demodulation,[],[f196,f283]) ).
fof(f430,plain,
( ~ spl0_30
| spl0_32
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f408,f281,f427,f416]) ).
fof(f408,plain,
( sk3 = app(cons(sk5,nil),sk6)
| ~ neq(sk3,nil)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f407,f283]) ).
fof(f407,plain,
( ~ neq(sk3,nil)
| sk4 = app(cons(sk5,nil),sk6)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f195,f283]) ).
fof(f424,plain,
( spl0_31
| ~ spl0_30
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f410,f281,f416,f421]) ).
fof(f410,plain,
( ~ neq(sk3,nil)
| ssList(sk6)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f194,f283]) ).
fof(f419,plain,
( spl0_30
| ~ spl0_3
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f414,f281,f251,f416]) ).
fof(f414,plain,
( neq(sk3,nil)
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f252,f283]) ).
fof(f252,plain,
( neq(sk4,nil)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f406,plain,
( ~ spl0_9
| ~ spl0_5
| spl0_7 ),
inference(avatar_split_clause,[],[f274,f270,f260,f281]) ).
fof(f274,plain,
( sk3 != sk4
| ~ spl0_5
| spl0_7 ),
inference(superposition,[],[f272,f262]) ).
fof(f262,plain,
( nil = sk4
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f272,plain,
( nil != sk3
| spl0_7 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f405,plain,
spl0_29,
inference(avatar_split_clause,[],[f12,f403]) ).
fof(f403,plain,
( spl0_29
<=> ! [X0] : ssItem(skaf83(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).
fof(f401,plain,
( ~ spl0_28
| ~ spl0_5
| ~ spl0_9
| spl0_27 ),
inference(avatar_split_clause,[],[f396,f391,f281,f260,f398]) ).
fof(f398,plain,
( spl0_28
<=> singletonP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f391,plain,
( spl0_27
<=> singletonP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f396,plain,
( ~ singletonP(sk3)
| ~ spl0_5
| ~ spl0_9
| spl0_27 ),
inference(forward_demodulation,[],[f395,f283]) ).
fof(f395,plain,
( ~ singletonP(sk4)
| ~ spl0_5
| spl0_27 ),
inference(forward_demodulation,[],[f393,f262]) ).
fof(f393,plain,
( ~ singletonP(nil)
| spl0_27 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f394,plain,
~ spl0_27,
inference(avatar_split_clause,[],[f11,f391]) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
fof(f389,plain,
spl0_26,
inference(avatar_split_clause,[],[f10,f386]) ).
fof(f386,plain,
( spl0_26
<=> ssItem(skac2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
fof(f384,plain,
spl0_25,
inference(avatar_split_clause,[],[f9,f381]) ).
fof(f381,plain,
( spl0_25
<=> ssItem(skac3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
fof(f378,plain,
spl0_24,
inference(avatar_split_clause,[],[f8,f375]) ).
fof(f375,plain,
( spl0_24
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f373,plain,
( spl0_23
| ~ spl0_5
| ~ spl0_9
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f368,f363,f281,f260,f370]) ).
fof(f370,plain,
( spl0_23
<=> cyclefreeP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f363,plain,
( spl0_22
<=> cyclefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f368,plain,
( cyclefreeP(sk3)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_22 ),
inference(forward_demodulation,[],[f367,f283]) ).
fof(f367,plain,
( cyclefreeP(sk4)
| ~ spl0_5
| ~ spl0_22 ),
inference(forward_demodulation,[],[f365,f262]) ).
fof(f365,plain,
( cyclefreeP(nil)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f366,plain,
spl0_22,
inference(avatar_split_clause,[],[f7,f363]) ).
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
fof(f361,plain,
( spl0_21
| ~ spl0_5
| ~ spl0_9
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f356,f351,f281,f260,f358]) ).
fof(f358,plain,
( spl0_21
<=> totalorderP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f351,plain,
( spl0_20
<=> totalorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f356,plain,
( totalorderP(sk3)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_20 ),
inference(forward_demodulation,[],[f355,f283]) ).
fof(f355,plain,
( totalorderP(sk4)
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[],[f353,f262]) ).
fof(f353,plain,
( totalorderP(nil)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f354,plain,
spl0_20,
inference(avatar_split_clause,[],[f6,f351]) ).
fof(f6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
fof(f349,plain,
( spl0_19
| ~ spl0_5
| ~ spl0_9
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f344,f339,f281,f260,f346]) ).
fof(f346,plain,
( spl0_19
<=> strictorderP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f339,plain,
( spl0_18
<=> strictorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f344,plain,
( strictorderP(sk3)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_18 ),
inference(forward_demodulation,[],[f343,f283]) ).
fof(f343,plain,
( strictorderP(sk4)
| ~ spl0_5
| ~ spl0_18 ),
inference(forward_demodulation,[],[f341,f262]) ).
fof(f341,plain,
( strictorderP(nil)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f342,plain,
spl0_18,
inference(avatar_split_clause,[],[f5,f339]) ).
fof(f5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f337,plain,
( spl0_17
| ~ spl0_5
| ~ spl0_9
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f332,f327,f281,f260,f334]) ).
fof(f334,plain,
( spl0_17
<=> totalorderedP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f327,plain,
( spl0_16
<=> totalorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f332,plain,
( totalorderedP(sk3)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f331,f283]) ).
fof(f331,plain,
( totalorderedP(sk4)
| ~ spl0_5
| ~ spl0_16 ),
inference(forward_demodulation,[],[f329,f262]) ).
fof(f329,plain,
( totalorderedP(nil)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f330,plain,
spl0_16,
inference(avatar_split_clause,[],[f4,f327]) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f325,plain,
( spl0_15
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f320,f315,f281,f260,f322]) ).
fof(f322,plain,
( spl0_15
<=> strictorderedP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f315,plain,
( spl0_14
<=> strictorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f320,plain,
( strictorderedP(sk3)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f319,f283]) ).
fof(f319,plain,
( strictorderedP(sk4)
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[],[f317,f262]) ).
fof(f317,plain,
( strictorderedP(nil)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f318,plain,
spl0_14,
inference(avatar_split_clause,[],[f3,f315]) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f313,plain,
( spl0_13
| ~ spl0_5
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f308,f303,f281,f260,f310]) ).
fof(f310,plain,
( spl0_13
<=> duplicatefreeP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f303,plain,
( spl0_12
<=> duplicatefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f308,plain,
( duplicatefreeP(sk3)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f307,f283]) ).
fof(f307,plain,
( duplicatefreeP(sk4)
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_demodulation,[],[f305,f262]) ).
fof(f305,plain,
( duplicatefreeP(nil)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f306,plain,
spl0_12,
inference(avatar_split_clause,[],[f2,f303]) ).
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f301,plain,
( spl0_11
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f296,f291,f281,f260,f298]) ).
fof(f298,plain,
( spl0_11
<=> equalelemsP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f291,plain,
( spl0_10
<=> equalelemsP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f296,plain,
( equalelemsP(sk3)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f295,f283]) ).
fof(f295,plain,
( equalelemsP(sk4)
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f293,f262]) ).
fof(f293,plain,
( equalelemsP(nil)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f294,plain,
spl0_10,
inference(avatar_split_clause,[],[f1,f291]) ).
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f284,plain,
( spl0_9
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f238,f260,f281]) ).
fof(f238,plain,
( nil != sk4
| sk3 = sk4 ),
inference(inner_rewriting,[],[f192]) ).
fof(f192,axiom,
( nil != sk4
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f279,plain,
( ~ spl0_8
| spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f264,f260,f251,f276]) ).
fof(f276,plain,
( spl0_8
<=> neq(sk4,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f264,plain,
( ~ neq(sk4,sk4)
| spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f253,f262]) ).
fof(f253,plain,
( ~ neq(sk4,nil)
| spl0_3 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f273,plain,
( spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f237,f270,f266]) ).
fof(f237,plain,
( nil != sk3
| neq(sk4,sk3) ),
inference(inner_rewriting,[],[f203]) ).
fof(f203,plain,
( nil != sk3
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f199,f191,f190]) ).
fof(f199,axiom,
( nil != sk1
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f263,plain,
( spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f204,f260,f251]) ).
fof(f204,plain,
( nil = sk4
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f197,f190,f190]) ).
fof(f197,axiom,
( nil = sk2
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f258,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f193,f255,f251]) ).
fof(f193,axiom,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f249,plain,
spl0_2,
inference(avatar_split_clause,[],[f202,f246]) ).
fof(f202,plain,
ssList(sk4),
inference(definition_unfolding,[],[f187,f190]) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
fof(f244,plain,
spl0_1,
inference(avatar_split_clause,[],[f188,f241]) ).
fof(f188,axiom,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC312-1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n016.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun May 19 02:57:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (27250)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (27251)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38 % (27253)WARNING: value z3 for option sas not known
% 0.21/0.38 % (27253)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.38 % (27254)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38 % (27252)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.38 % (27255)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.38 % (27256)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.38 % (27257)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.39 TRYING [1]
% 0.21/0.39 TRYING [2]
% 0.21/0.40 TRYING [1]
% 0.21/0.40 % (27255)First to succeed.
% 0.21/0.41 TRYING [3]
% 0.21/0.41 TRYING [2]
% 0.21/0.41 % (27255)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27250"
% 0.21/0.41 % (27255)Refutation found. Thanks to Tanya!
% 0.21/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.42 % (27255)------------------------------
% 0.21/0.42 % (27255)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.42 % (27255)Termination reason: Refutation
% 0.21/0.42
% 0.21/0.42 % (27255)Memory used [KB]: 1482
% 0.21/0.42 % (27255)Time elapsed: 0.032 s
% 0.21/0.42 % (27255)Instructions burned: 49 (million)
% 0.21/0.42 % (27250)Success in time 0.054 s
%------------------------------------------------------------------------------