TSTP Solution File: COM009-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : COM009-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n012.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 Apr 30 10:46:34 EDT 2024
% Result : Unsatisfiable 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 605
% Syntax : Number of formulae : 627 ( 153 unt; 0 def)
% Number of atoms : 1163 ( 203 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 1078 ( 542 ~; 534 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 40 ( 38 usr; 3 prp; 0-3 aty)
% Number of functors : 127 ( 127 usr; 19 con; 0-6 aty)
% Number of variables : 1237 (1237 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1731,plain,
$false,
inference(avatar_sat_refutation,[],[f1684,f1686,f1689,f1730]) ).
fof(f1730,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f1729]) ).
fof(f1729,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f1728,f1679]) ).
fof(f1679,plain,
( v_F != c_UNITY_Ototalize(v_F,t_a)
| spl0_1 ),
inference(avatar_component_clause,[],[f1677]) ).
fof(f1677,plain,
( spl0_1
<=> v_F = c_UNITY_Ototalize(v_F,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1728,plain,
( v_F = c_UNITY_Ototalize(v_F,t_a)
| ~ spl0_2 ),
inference(resolution,[],[f1360,f1682]) ).
fof(f1682,plain,
( c_UNITY_Oall__total(v_F,t_a)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f1681]) ).
fof(f1681,plain,
( spl0_2
<=> c_UNITY_Oall__total(v_F,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1360,axiom,
! [X2,X16] :
( ~ c_UNITY_Oall__total(X16,X2)
| c_UNITY_Ototalize(X16,X2) = X16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNITY_Oall__total__imp__totalize_0) ).
fof(f1689,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f1688]) ).
fof(f1688,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(subsumption_resolution,[],[f1687,f1683]) ).
fof(f1683,plain,
( ~ c_UNITY_Oall__total(v_F,t_a)
| spl0_2 ),
inference(avatar_component_clause,[],[f1681]) ).
fof(f1687,plain,
( c_UNITY_Oall__total(v_F,t_a)
| ~ spl0_1 ),
inference(superposition,[],[f1361,f1678]) ).
fof(f1678,plain,
( v_F = c_UNITY_Ototalize(v_F,t_a)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f1677]) ).
fof(f1361,axiom,
! [X2,X16] : c_UNITY_Oall__total(c_UNITY_Ototalize(X16,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNITY_Oall__total__totalize_0) ).
fof(f1686,plain,
( spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f1685]) ).
fof(f1685,plain,
( $false
| spl0_1
| spl0_2 ),
inference(global_subsumption,[],[f1371,f122,f30,f103,f6,f96,f86,f80,f28,f65,f92,f90,f75,f118,f119,f239,f240,f224,f223,f304,f176,f259,f293,f288,f243,f235,f1364,f1366,f1362,f1367,f2,f290,f292,f287,f285,f291,f284,f286,f289,f16,f14,f186,f188,f11,f13,f236,f233,f232,f1359,f1358,f9,f20,f21,f15,f17,f22,f126,f247,f318,f1369,f1368,f51,f57,f84,f1360,f190,f260,f261,f44,f97,f71,f72,f7,f87,f303,f154,f305,f8,f200,f199,f185,f187,f12,f10,f82,f81,f88,f66,f182,f179,f131,f18,f19,f125,f124,f59,f58,f3,f4,f1363,f25,f27,f170,f171,f1365,f114,f47,f23,f110,f116,f112,f107,f108,f95,f93,f55,f85,f73,f53,f64,f63,f52,f67,f69,f91,f89,f76,f255,f254,f189,f191,f194,f101,f198,f105,f106,f46,f50,f99,f152,f168,f167,f175,f157,f279,f312,f311,f100,f197,f45,f49,f40,f41,f98,f161,f160,f153,f158,f257,f78,f34,f229,f228,f227,f300,f301,f165,f156,f77,f1,f33,f35,f36,f164,f308,f307,f155,f241,f225,f317,f269,f298,f297,f295,f294,f220,f219,f39,f267,f273,f246,f38,f245,f256,f61,f60,f268,f274,f278,f83,f184,f181,f277,f270,f271,f183,f180,f276,f275,f32,f31,f128,f319,f130,f127,f129,f212,f213,f211,f282,f281,f280,f192,f195,f320,f250,f253,f203,f202,f201,f251,f248,f252,f249,f209,f210,f394,f450,f444,f142,f132,f137,f147,f146,f151,f145,f150,f136,f141,f135,f140,f144,f149,f134,f139,f143,f148,f133,f138,f193,f325,f196,f177,f309,f302,f42,f162,f306,f159,f173,f258,f272,f104,f169,f163,f244,f37,f231,f230,f214,f62,f316,f315,f314,f313,f283,f215,f217,f216,f218,f205,f206,f207,f208,f204,f352,f353,f354,f355,f356,f357,f358,f359,f360,f362,f363,f364,f365,f366,f367,f368,f369,f370,f371,f372,f373,f374,f375,f376,f378,f379,f381,f392,f393,f408,f419,f423,f424,f425,f426,f427,f428,f429,f430,f431,f432,f433,f434,f439,f440,f441,f442,f29,f121,f166,f321,f324,f446,f447,f24,f48,f102,f111,f115,f117,f120,f174,f221,f237,f238,f262,f264,f296,f451,f452,f453,f454,f455,f456,f457,f458,f517,f524,f525,f526,f530,f531,f532,f533,f534,f535,f536,f541,f542,f543,f544,f545,f550,f551,f552,f554,f561,f562,f563,f564,f568,f569,f570,f571,f572,f573,f580,f581,f582,f583,f587,f588,f589,f590,f591,f595,f596,f597,f598,f599,f600,f601,f602,f608,f611,f612,f613,f614,f622,f623,f624,f628,f629,f630,f631,f637,f638,f639,f647,f1468,f1469,f1470,f1471,f648,f1472,f1473,f649,f1474,f1475,f650,f651,f652,f681,f872,f874,f875,f884,f889,f890,f891,f892,f893,f894,f896,f898,f899,f900,f901,f902,f907,f908,f909,f910,f911,f912,f913,f914,f916,f917,f920,f921,f923,f924,f925,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1029,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1040,f1041,f1042,f1043,f1044,f1045,f1059,f1060,f1061,f1062,f1063,f1065,f1066,f1067,f1068,f1069,f1070,f1071,f1072,f1073,f1074,f1076,f1077,f1078,f1079,f1080,f1081,f1106,f1107,f1108,f1109,f1110,f1111,f1113,f1114,f1115,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1144,f1145,f1152,f1153,f1155,f1159,f1160,f1163,f1164,f1174,f1177,f1178,f1187,f1219,f1220,f1221,f1222,f1238,f1239,f1240,f1241,f1242,f1244,f1245,f1246,f1256,f1257,f1265,f1352,f1353,f1354,f1355,f1356,f1357,f5,f43,f56,f94,f113,f178,f222,f226,f263,f265,f299,f310,f326,f448,f1361,f26,f54,f68,f70,f74,f79,f109,f123,f172,f266,f1370,f1683,f1679]) ).
fof(f1370,axiom,
( ~ c_UNITY_Oall__total(v_F,t_a)
| v_F != c_UNITY_Ototalize(v_F,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f266,axiom,
! [X2,X0] :
( c_lessequals(X0,X0,X2)
| ~ class_Orderings_Oorder(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
fof(f172,axiom,
! [X2] : c_emptyset = c_union(c_emptyset,c_emptyset,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__empty__iff2_0) ).
fof(f123,axiom,
! [X2,X0] :
( ~ c_less(X0,X0,X2)
| ~ class_Orderings_Oorder(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__irrefl__iff1_0) ).
fof(f109,axiom,
c_0 = c_plus(c_0,c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__is__0__iff2_0) ).
fof(f79,axiom,
! [X2,X3,X29] : c_List_Olist_ONil != c_List_Olist_OCons(X3,X29,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olist_Odistinct__1__iff1_0) ).
fof(f74,axiom,
! [X2] : c_0 = c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olength__0__conv__iff2_0) ).
fof(f70,axiom,
! [X2,X21] : c_append(X21,c_List_Olist_ONil,X2) = X21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend__self__conv__iff2_0) ).
fof(f68,axiom,
! [X2,X22] : c_append(c_List_Olist_ONil,X22,X2) = X22,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend__self__conv2__iff2_0) ).
fof(f54,axiom,
! [X2] : c_List_Olist_ONil = c_append(c_List_Olist_ONil,c_List_Olist_ONil,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_ONil__is__append__conv__iff2_0) ).
fof(f26,axiom,
! [X2,X14] : c_emptyset = c_Equiv__Relations_Oquotient(c_emptyset,X14,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Equiv__Relations_Oquotient__is__empty2__iff2_0) ).
fof(f448,axiom,
! [X51] :
( class_Finite__Set_Ofinite(tc_set(X51))
| ~ class_Finite__Set_Ofinite(X51) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_set_3) ).
fof(f326,axiom,
! [X51] :
( class_Finite__Set_Ofinite(tc_Datatype_Ooption(X51))
| ~ class_Finite__Set_Ofinite(X51) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Datatype__Ooption_0) ).
fof(f310,axiom,
! [X2,X13] : c_lessequals(X13,X13,tc_set(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
fof(f299,axiom,
! [X2,X13] : c_lessequals(c_emptyset,X13,tc_set(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oempty__subsetI_0) ).
fof(f265,axiom,
! [X18] : c_less(c_0,c_Suc(X18),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Ozero__less__Suc_0) ).
fof(f263,axiom,
! [X18] : c_less(X18,c_Suc(X18),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OlessI_0) ).
fof(f226,axiom,
! [X2] : c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_OFinites_OemptyI_0) ).
fof(f222,axiom,
! [X9] : c_Divides_Oop_Advd(c_Suc(c_0),X9,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Odvd__1__left_0) ).
fof(f178,axiom,
! [X2,X13] : ~ c_less(X13,c_emptyset,tc_set(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Onot__psubset__empty__iff1_0) ).
fof(f113,axiom,
c_less(c_0,c_Suc(c_0),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oless__Suc0__iff2_0) ).
fof(f94,axiom,
! [X2] : c_emptyset = c_List_Oset(c_List_Olist_ONil,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oset__empty2__iff2_0) ).
fof(f56,axiom,
! [X2] : c_List_Olist_ONil = c_List_Orev(c_List_Olist_ONil,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_ONil__is__rev__conv__iff2_0) ).
fof(f43,axiom,
~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Infinite__Set_Onat__not__finite_0) ).
fof(f5,axiom,
! [X2,X3] : c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(X3,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Ooption_Odistinct__1__iff1_0) ).
fof(f1357,axiom,
! [X53] :
( ~ class_Wellfounded__Recursion_Owellorder(X53)
| class_Orderings_Olinorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_5) ).
fof(f1356,axiom,
! [X53] :
( ~ class_Wellfounded__Recursion_Owellorder(X53)
| class_LOrder_Olorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_4) ).
fof(f1355,axiom,
! [X53] :
( ~ class_Wellfounded__Recursion_Owellorder(X53)
| class_LOrder_Ojoin__semilorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_3) ).
fof(f1354,axiom,
! [X53] :
( ~ class_Wellfounded__Recursion_Owellorder(X53)
| class_LOrder_Omeet__semilorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_2) ).
fof(f1353,axiom,
! [X53] :
( ~ class_Wellfounded__Recursion_Owellorder(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_1) ).
fof(f1352,axiom,
! [X53] :
( ~ class_Wellfounded__Recursion_Owellorder(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Wellfounded__Recursion_Owellorder_0) ).
fof(f1265,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__semiring(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__semiring_9) ).
fof(f1257,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__semiring(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__semiring_11) ).
fof(f1256,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__semiring(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__semiring_10) ).
fof(f1246,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__ring(X53)
| class_Ring__and__Field_Opordered__cancel__semiring(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_22) ).
fof(f1245,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__ring(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_21) ).
fof(f1244,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__ring(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_20) ).
fof(f1242,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__ring(X53)
| class_OrderedGroup_Opordered__ab__group__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_19) ).
fof(f1241,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__ring(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_18) ).
fof(f1240,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__ring(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_17) ).
fof(f1239,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__ring(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_16) ).
fof(f1238,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__ring(X53)
| class_Ring__and__Field_Opordered__semiring(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__ring_15) ).
fof(f1222,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X53)
| class_Ring__and__Field_Opordered__semiring(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__comm__semiring_15) ).
fof(f1221,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__comm__semiring_14) ).
fof(f1220,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__comm__semiring_13) ).
fof(f1219,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__comm__semiring(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__comm__semiring_12) ).
fof(f1187,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__semiring_7) ).
fof(f1178,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__semiring_12) ).
fof(f1177,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__semiring_11) ).
fof(f1174,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X53)
| class_Ring__and__Field_Opordered__semiring(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__semiring_0) ).
fof(f1164,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X53)
| class_Ring__and__Field_Opordered__cancel__semiring(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_19) ).
fof(f1163,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X53)
| class_Ring__and__Field_Opordered__semiring(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_18) ).
fof(f1160,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_15) ).
fof(f1159,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_14) ).
fof(f1155,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_10) ).
fof(f1153,axiom,
! [X53] :
( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X53)
| class_Ring__and__Field_Opordered__comm__semiring(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Opordered__cancel__comm__semiring_0) ).
fof(f1152,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X53)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_9) ).
fof(f1145,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X53)
| class_Ring__and__Field_Opordered__semiring(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_23) ).
fof(f1144,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X53)
| class_Ring__and__Field_Opordered__cancel__semiring(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_22) ).
fof(f1139,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_18) ).
fof(f1138,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_17) ).
fof(f1137,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_16) ).
fof(f1136,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_15) ).
fof(f1135,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_14) ).
fof(f1134,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X53)
| class_LOrder_Omeet__semilorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_13) ).
fof(f1133,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X53)
| class_LOrder_Ojoin__semilorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_12) ).
fof(f1132,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X53)
| class_LOrder_Olorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_11) ).
fof(f1131,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X53)
| class_Orderings_Olinorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semiring__strict_10) ).
fof(f1122,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_39) ).
fof(f1121,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_38) ).
fof(f1120,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_37) ).
fof(f1119,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_Ring__and__Field_Opordered__semiring(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_36) ).
fof(f1118,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_Ring__and__Field_Opordered__comm__semiring(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_35) ).
fof(f1117,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_Ring__and__Field_Opordered__cancel__semiring(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_34) ).
fof(f1116,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_33) ).
fof(f1115,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_32) ).
fof(f1114,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_31) ).
fof(f1113,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_LOrder_Omeet__semilorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_30) ).
fof(f1111,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_LOrder_Ojoin__semilorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_29) ).
fof(f1110,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_LOrder_Olorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_28) ).
fof(f1109,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_Orderings_Olinorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_27) ).
fof(f1108,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_26) ).
fof(f1107,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_Ring__and__Field_Oordered__semiring__strict(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_25) ).
fof(f1106,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__semidom(X53)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__semidom_24) ).
fof(f1081,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_OrderedGroup_Olordered__ab__group__join(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_35) ).
fof(f1080,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_OrderedGroup_Olordered__ab__group__meet(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_34) ).
fof(f1079,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_OrderedGroup_Olordered__ab__group__abs(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_33) ).
fof(f1078,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_Ring__and__Field_Opordered__ring(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_32) ).
fof(f1077,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_Ring__and__Field_Olordered__ring(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_31) ).
fof(f1076,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_OrderedGroup_Opordered__ab__group__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_30) ).
fof(f1074,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_OrderedGroup_Olordered__ab__group(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_29) ).
fof(f1073,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_Ring__and__Field_Oaxclass__abs__if(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_28) ).
fof(f1072,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_27) ).
fof(f1071,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_26) ).
fof(f1070,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_25) ).
fof(f1069,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_Ring__and__Field_Opordered__semiring(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_24) ).
fof(f1068,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_Ring__and__Field_Opordered__cancel__semiring(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_23) ).
fof(f1067,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_22) ).
fof(f1066,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_21) ).
fof(f1065,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_LOrder_Omeet__semilorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_20) ).
fof(f1063,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_LOrder_Ojoin__semilorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_19) ).
fof(f1062,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_LOrder_Olorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_18) ).
fof(f1061,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_Orderings_Olinorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_17) ).
fof(f1060,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_16) ).
fof(f1059,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X53)
| class_Ring__and__Field_Oordered__semiring__strict(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__ring__strict_15) ).
fof(f1045,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Ring__and__Field_Oordered__semidom(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_55) ).
fof(f1044,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_OrderedGroup_Opordered__ab__group__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_54) ).
fof(f1043,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_OrderedGroup_Olordered__ab__group(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_53) ).
fof(f1042,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_OrderedGroup_Olordered__ab__group__join(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_52) ).
fof(f1041,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_OrderedGroup_Olordered__ab__group__meet(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_51) ).
fof(f1040,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_OrderedGroup_Olordered__ab__group__abs(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f1038,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Ring__and__Field_Opordered__ring(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_49) ).
fof(f1037,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Ring__and__Field_Olordered__ring(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_48) ).
fof(f1036,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Ring__and__Field_Oordered__ring__strict(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_47) ).
fof(f1035,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Ring__and__Field_Oaxclass__abs__if(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_46) ).
fof(f1034,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_45) ).
fof(f1033,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_44) ).
fof(f1032,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_43) ).
fof(f1031,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Ring__and__Field_Opordered__semiring(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42) ).
fof(f1030,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Ring__and__Field_Opordered__comm__semiring(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_41) ).
fof(f1029,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Ring__and__Field_Opordered__cancel__semiring(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_40) ).
fof(f1027,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_39) ).
fof(f1026,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_38) ).
fof(f1025,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_37) ).
fof(f1024,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_LOrder_Omeet__semilorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_36) ).
fof(f1023,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_LOrder_Ojoin__semilorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_35) ).
fof(f1022,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_LOrder_Olorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_34) ).
fof(f1021,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Orderings_Olinorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
fof(f1020,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_32) ).
fof(f1019,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Ring__and__Field_Oordered__semiring__strict(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_31) ).
fof(f1018,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__idom(X53)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_30) ).
fof(f925,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_Ring__and__Field_Opordered__comm__semiring(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_29) ).
fof(f924,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_Ring__and__Field_Opordered__cancel__comm__semiring(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_28) ).
fof(f923,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_Ring__and__Field_Opordered__semiring(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_27) ).
fof(f921,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_Ring__and__Field_Opordered__cancel__semiring(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_25) ).
fof(f920,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_Ring__and__Field_Oordered__semiring__strict(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_24) ).
fof(f917,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_21) ).
fof(f916,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_20) ).
fof(f914,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_19) ).
fof(f913,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_18) ).
fof(f912,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_17) ).
fof(f911,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_LOrder_Omeet__semilorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_16) ).
fof(f910,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_LOrder_Ojoin__semilorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_15) ).
fof(f909,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_LOrder_Olorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_14) ).
fof(f908,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_Orderings_Olinorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_13) ).
fof(f907,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X53)
| class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__comm__semiring__strict_12) ).
fof(f902,axiom,
! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_9) ).
fof(f901,axiom,
! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_Ring__and__Field_Opordered__semiring(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_8) ).
fof(f900,axiom,
! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_Ring__and__Field_Opordered__cancel__semiring(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_7) ).
fof(f899,axiom,
! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_6) ).
fof(f898,axiom,
! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_5) ).
fof(f896,axiom,
! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_OrderedGroup_Olordered__ab__group__join(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_30) ).
fof(f894,axiom,
! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_OrderedGroup_Olordered__ab__group__meet(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_29) ).
fof(f893,axiom,
! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_LOrder_Omeet__semilorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_28) ).
fof(f892,axiom,
! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_LOrder_Ojoin__semilorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_27) ).
fof(f891,axiom,
! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_LOrder_Olorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_26) ).
fof(f890,axiom,
! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_OrderedGroup_Olordered__ab__group(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_25) ).
fof(f889,axiom,
! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_OrderedGroup_Olordered__ab__group__abs(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_24) ).
fof(f884,axiom,
! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_OrderedGroup_Opordered__ab__group__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_2) ).
fof(f875,axiom,
! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_11) ).
fof(f874,axiom,
! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_10) ).
fof(f872,axiom,
! [X53] :
( ~ class_Ring__and__Field_Olordered__ring(X53)
| class_Ring__and__Field_Opordered__ring(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Olordered__ring_0) ).
fof(f681,axiom,
! [X53] :
( ~ class_Ring__and__Field_Oaxclass__abs__if(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oaxclass__abs__if_1) ).
fof(f652,axiom,
! [X53] :
( class_Orderings_Oord(X53)
| ~ class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Orderings_Oorder_0) ).
fof(f651,axiom,
! [X53] :
( ~ class_Orderings_Olinorder(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_4) ).
fof(f650,axiom,
! [X53] :
( class_Orderings_Oord(X53)
| ~ class_Orderings_Olinorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_3) ).
fof(f1475,plain,
! [X0] :
( ~ class_Orderings_Olinorder(X0)
| class_Orderings_Oord(X0) ),
inference(resolution,[],[f649,f457]) ).
fof(f1474,plain,
! [X0] :
( ~ class_Orderings_Olinorder(X0)
| class_Orderings_Oorder(X0) ),
inference(resolution,[],[f649,f458]) ).
fof(f649,axiom,
! [X53] :
( class_LOrder_Omeet__semilorder(X53)
| ~ class_Orderings_Olinorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_2) ).
fof(f1473,plain,
! [X0] :
( ~ class_Orderings_Olinorder(X0)
| class_Orderings_Oord(X0) ),
inference(resolution,[],[f648,f451]) ).
fof(f1472,plain,
! [X0] :
( ~ class_Orderings_Olinorder(X0)
| class_Orderings_Oorder(X0) ),
inference(resolution,[],[f648,f452]) ).
fof(f648,axiom,
! [X53] :
( class_LOrder_Ojoin__semilorder(X53)
| ~ class_Orderings_Olinorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_1) ).
fof(f1471,plain,
! [X0] :
( ~ class_Orderings_Olinorder(X0)
| class_LOrder_Omeet__semilorder(X0) ),
inference(resolution,[],[f647,f453]) ).
fof(f1470,plain,
! [X0] :
( ~ class_Orderings_Olinorder(X0)
| class_Orderings_Oord(X0) ),
inference(resolution,[],[f647,f454]) ).
fof(f1469,plain,
! [X0] :
( ~ class_Orderings_Olinorder(X0)
| class_Orderings_Oorder(X0) ),
inference(resolution,[],[f647,f455]) ).
fof(f1468,plain,
! [X0] :
( ~ class_Orderings_Olinorder(X0)
| class_LOrder_Ojoin__semilorder(X0) ),
inference(resolution,[],[f647,f456]) ).
fof(f647,axiom,
! [X53] :
( class_LOrder_Olorder(X53)
| ~ class_Orderings_Olinorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_0) ).
fof(f639,axiom,
! [X53] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_2) ).
fof(f638,axiom,
! [X53] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_1) ).
fof(f637,axiom,
! [X53] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__cancel__ab__semigroup__add_0) ).
fof(f631,axiom,
! [X53] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_3) ).
fof(f630,axiom,
! [X53] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_2) ).
fof(f629,axiom,
! [X53] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_1) ).
fof(f628,axiom,
! [X53] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add__imp__le_0) ).
fof(f624,axiom,
! [X53] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add_1) ).
fof(f623,axiom,
! [X53] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__semigroup__add_0) ).
fof(f622,axiom,
! [X53] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_9) ).
fof(f614,axiom,
! [X53] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_13) ).
fof(f613,axiom,
! [X53] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_12) ).
fof(f612,axiom,
! [X53] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_11) ).
fof(f611,axiom,
! [X53] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Opordered__ab__group__add_10) ).
fof(f608,axiom,
! [X53] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53)
| class_Orderings_Olinorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_9) ).
fof(f602,axiom,
! [X53] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_3) ).
fof(f601,axiom,
! [X53] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_2) ).
fof(f600,axiom,
! [X53] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_13) ).
fof(f599,axiom,
! [X53] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53)
| class_LOrder_Omeet__semilorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_12) ).
fof(f598,axiom,
! [X53] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53)
| class_LOrder_Ojoin__semilorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_11) ).
fof(f597,axiom,
! [X53] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53)
| class_LOrder_Olorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_10) ).
fof(f596,axiom,
! [X53] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_1) ).
fof(f595,axiom,
! [X53] :
( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Oordered__cancel__ab__semigroup__add_0) ).
fof(f591,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_9) ).
fof(f590,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_8) ).
fof(f589,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_7) ).
fof(f588,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_6) ).
fof(f587,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_5) ).
fof(f583,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X53)
| class_LOrder_Ojoin__semilorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_18) ).
fof(f582,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X53)
| class_LOrder_Olorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_17) ).
fof(f581,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X53)
| class_OrderedGroup_Olordered__ab__group(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_16) ).
fof(f580,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X53)
| class_LOrder_Omeet__semilorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_15) ).
fof(f573,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__meet(X53)
| class_OrderedGroup_Opordered__ab__group__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__meet_0) ).
fof(f572,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_9) ).
fof(f571,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_8) ).
fof(f570,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_7) ).
fof(f569,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_6) ).
fof(f568,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_5) ).
fof(f564,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X53)
| class_LOrder_Omeet__semilorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_18) ).
fof(f563,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X53)
| class_LOrder_Olorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_17) ).
fof(f562,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X53)
| class_OrderedGroup_Olordered__ab__group(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_16) ).
fof(f561,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X53)
| class_LOrder_Ojoin__semilorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_15) ).
fof(f554,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__join(X53)
| class_OrderedGroup_Opordered__ab__group__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__join_0) ).
fof(f552,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_8) ).
fof(f551,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_7) ).
fof(f550,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_6) ).
fof(f545,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_18) ).
fof(f544,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_17) ).
fof(f543,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X53)
| class_LOrder_Omeet__semilorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_16) ).
fof(f542,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X53)
| class_LOrder_Ojoin__semilorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_15) ).
fof(f541,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X53)
| class_LOrder_Olorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_14) ).
fof(f536,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X53)
| class_OrderedGroup_Opordered__ab__group__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).
fof(f535,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X53)
| class_OrderedGroup_Olordered__ab__group(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_0) ).
fof(f534,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_9) ).
fof(f533,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_8) ).
fof(f532,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_7) ).
fof(f531,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group(X53)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_6) ).
fof(f530,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group(X53)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_5) ).
fof(f526,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group(X53)
| class_LOrder_Omeet__semilorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_17) ).
fof(f525,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group(X53)
| class_LOrder_Ojoin__semilorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_16) ).
fof(f524,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group(X53)
| class_LOrder_Olorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_15) ).
fof(f517,axiom,
! [X53] :
( ~ class_OrderedGroup_Olordered__ab__group(X53)
| class_OrderedGroup_Opordered__ab__group__add(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group_0) ).
fof(f458,axiom,
! [X53] :
( ~ class_LOrder_Omeet__semilorder(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Omeet__semilorder_1) ).
fof(f457,axiom,
! [X53] :
( ~ class_LOrder_Omeet__semilorder(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Omeet__semilorder_0) ).
fof(f456,axiom,
! [X53] :
( ~ class_LOrder_Olorder(X53)
| class_LOrder_Ojoin__semilorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Olorder_3) ).
fof(f455,axiom,
! [X53] :
( ~ class_LOrder_Olorder(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Olorder_2) ).
fof(f454,axiom,
! [X53] :
( ~ class_LOrder_Olorder(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Olorder_1) ).
fof(f453,axiom,
! [X53] :
( ~ class_LOrder_Olorder(X53)
| class_LOrder_Omeet__semilorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Olorder_0) ).
fof(f452,axiom,
! [X53] :
( ~ class_LOrder_Ojoin__semilorder(X53)
| class_Orderings_Oorder(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1) ).
fof(f451,axiom,
! [X53] :
( ~ class_LOrder_Ojoin__semilorder(X53)
| class_Orderings_Oord(X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_0) ).
fof(f296,axiom,
! [X2,X0] : c_in(X0,c_UNIV,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUNIV__I_0) ).
fof(f264,axiom,
! [X18] : ~ c_less(X18,X18,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oless__irrefl_0) ).
fof(f262,axiom,
! [X18] : c_lessequals(c_0,X18,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Ole0_0) ).
fof(f238,axiom,
! [X12] : c_Divides_Oop_Advd(c_1,X12,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__1__left_0) ).
fof(f237,axiom,
! [X12] : c_Divides_Oop_Advd(X12,c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__0__right_0) ).
fof(f221,axiom,
! [X12] : c_Divides_Oop_Advd(X12,c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Odvd__0__right_0) ).
fof(f174,axiom,
! [X2,X4] : ~ c_in(X4,c_emptyset,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OemptyE_0) ).
fof(f120,axiom,
! [X18] : ~ c_less(X18,c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onot__less0__iff1_0) ).
fof(f117,axiom,
~ c_less(c_0,c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oneq0__conv__iff2_0) ).
fof(f115,axiom,
c_less(c_0,c_1,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oless__one__iff2_0) ).
fof(f111,axiom,
c_lessequals(c_0,c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Ole__0__eq__iff2_0) ).
fof(f102,axiom,
! [X12] : c_0 != c_Suc(X12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OSuc__not__Zero__iff1_0) ).
fof(f48,axiom,
c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__0__left__iff2_0) ).
fof(f24,axiom,
c_Divides_Oop_Advd(c_0,c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Odvd__0__left__iff__iff2_0) ).
fof(f447,axiom,
! [X51] : class_Orderings_Oorder(tc_set(X51)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_set_2) ).
fof(f446,axiom,
! [X51] : class_Orderings_Oord(tc_set(X51)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_set_1) ).
fof(f324,axiom,
c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Owf__less__than_0) ).
fof(f321,axiom,
! [X2] : c_Wellfounded__Recursion_Owf(c_emptyset,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Owf__empty_0) ).
fof(f166,axiom,
c_emptyset != c_UNIV,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUNIV__not__empty__iff1_0) ).
fof(f121,axiom,
c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obit_Odistinct__1__iff1_0) ).
fof(f29,axiom,
c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Odistinct__1__iff1_0) ).
fof(f442,axiom,
class_Wellfounded__Recursion_Owellorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_8) ).
fof(f441,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_7) ).
fof(f440,axiom,
class_LOrder_Olorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_6) ).
fof(f439,axiom,
class_LOrder_Ojoin__semilorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_5) ).
fof(f434,axiom,
class_Ring__and__Field_Oordered__semidom(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_43) ).
fof(f433,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_42) ).
fof(f432,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_41) ).
fof(f431,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_40) ).
fof(f430,axiom,
class_LOrder_Omeet__semilorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_4) ).
fof(f429,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_39) ).
fof(f428,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_38) ).
fof(f427,axiom,
class_Ring__and__Field_Opordered__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_37) ).
fof(f426,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_36) ).
fof(f425,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_35) ).
fof(f424,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_34) ).
fof(f423,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_33) ).
fof(f419,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_3) ).
fof(f408,axiom,
class_Orderings_Oord(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat_2) ).
fof(f393,axiom,
class_Finite__Set_Ofinite(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool_0) ).
fof(f392,axiom,
class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Product____Type__Ounit_0) ).
fof(f381,axiom,
class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_58) ).
fof(f379,axiom,
class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_56) ).
fof(f378,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_55) ).
fof(f376,axiom,
class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_53) ).
fof(f375,axiom,
class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_52) ).
fof(f374,axiom,
class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_51) ).
fof(f373,axiom,
class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_50) ).
fof(f372,axiom,
class_Orderings_Oord(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_5) ).
fof(f371,axiom,
class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_49) ).
fof(f370,axiom,
class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_48) ).
fof(f369,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_47) ).
fof(f368,axiom,
class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_46) ).
fof(f367,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_45) ).
fof(f366,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_44) ).
fof(f365,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_43) ).
fof(f364,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_42) ).
fof(f363,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_41) ).
fof(f362,axiom,
class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_40) ).
fof(f360,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_39) ).
fof(f359,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_38) ).
fof(f358,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_37) ).
fof(f357,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_36) ).
fof(f356,axiom,
class_Orderings_Olinorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_35) ).
fof(f355,axiom,
class_LOrder_Olorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_34) ).
fof(f354,axiom,
class_LOrder_Ojoin__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_33) ).
fof(f353,axiom,
class_LOrder_Omeet__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_32) ).
fof(f352,axiom,
class_Orderings_Oorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_31) ).
fof(f204,axiom,
! [X2,X10,X11,X8,X37,X7,X14,X5] :
( ~ c_in(c_Pair(X8,X11,tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),X37,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))))
| ~ c_in(c_Pair(X7,X10,tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),X14,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))))
| c_in(c_Pair(c_Datatype__Universe_OScons(X7,X8,X2,X5),c_Datatype__Universe_OScons(X10,X11,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),c_Datatype__Universe_Odprod(X14,X37,X2,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OdprodI_0) ).
fof(f208,axiom,
! [X2,X37,X14,X5,X20] :
( ~ c_in(X20,c_Datatype__Universe_Odsum(X14,X37,X2,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))))
| c_in(c_Pair(c_Main_OdsumE__3(X37,X20,X2,X5),c_Main_OdsumE__4(X37,X20,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),X37,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))))
| c_in(c_Pair(c_Main_OdsumE__1(X14,X20,X2,X5),c_Main_OdsumE__2(X14,X20,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),X14,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OdsumE_3) ).
fof(f207,axiom,
! [X2,X37,X14,X5,X20] :
( ~ c_in(X20,c_Datatype__Universe_Odsum(X14,X37,X2,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))))
| c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X37,X20,X2,X5),X2,X5),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X37,X20,X2,X5),X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))) = X20
| c_in(c_Pair(c_Main_OdsumE__1(X14,X20,X2,X5),c_Main_OdsumE__2(X14,X20,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),X14,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OdsumE_2) ).
fof(f206,axiom,
! [X2,X37,X14,X5,X20] :
( ~ c_in(X20,c_Datatype__Universe_Odsum(X14,X37,X2,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))))
| c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X14,X20,X2,X5),X2,X5),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X14,X20,X2,X5),X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))) = X20
| c_in(c_Pair(c_Main_OdsumE__3(X37,X20,X2,X5),c_Main_OdsumE__4(X37,X20,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),X37,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OdsumE_1) ).
fof(f205,axiom,
! [X2,X37,X14,X5,X20] :
( ~ c_in(X20,c_Datatype__Universe_Odsum(X14,X37,X2,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))))
| c_Pair(c_Datatype__Universe_OIn1(c_Main_OdsumE__3(X37,X20,X2,X5),X2,X5),c_Datatype__Universe_OIn1(c_Main_OdsumE__4(X37,X20,X2,X5),X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))) = X20
| c_Pair(c_Datatype__Universe_OIn0(c_Main_OdsumE__1(X14,X20,X2,X5),X2,X5),c_Datatype__Universe_OIn0(c_Main_OdsumE__2(X14,X20,X2,X5),X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))) = X20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OdsumE_0) ).
fof(f218,axiom,
! [X2,X38,X15,X5,X13] :
( ~ c_in(X38,c_Datatype__Universe_Ousum(X13,X15,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)))
| c_in(c_Main_OusumE__2(X15,X38,X2,X5),X15,tc_set(tc_Datatype__Universe_Onode(X2,X5)))
| c_in(c_Main_OusumE__1(X13,X38,X2,X5),X13,tc_set(tc_Datatype__Universe_Onode(X2,X5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OusumE_3) ).
fof(f216,axiom,
! [X2,X38,X15,X5,X13] :
( c_Datatype__Universe_OIn0(c_Main_OusumE__1(X13,X38,X2,X5),X2,X5) = X38
| ~ c_in(X38,c_Datatype__Universe_Ousum(X13,X15,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)))
| c_in(c_Main_OusumE__2(X15,X38,X2,X5),X15,tc_set(tc_Datatype__Universe_Onode(X2,X5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OusumE_1) ).
fof(f217,axiom,
! [X2,X38,X15,X5,X13] :
( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X15,X38,X2,X5),X2,X5) = X38
| ~ c_in(X38,c_Datatype__Universe_Ousum(X13,X15,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)))
| c_in(c_Main_OusumE__1(X13,X38,X2,X5),X13,tc_set(tc_Datatype__Universe_Onode(X2,X5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OusumE_2) ).
fof(f215,axiom,
! [X2,X38,X15,X5,X13] :
( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X15,X38,X2,X5),X2,X5) = X38
| c_Datatype__Universe_OIn0(c_Main_OusumE__1(X13,X38,X2,X5),X2,X5) = X38
| ~ c_in(X38,c_Datatype__Universe_Ousum(X13,X15,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OusumE_0) ).
fof(f283,axiom,
! [X2,X46,X37,X6,X14,X4,X34,X5] :
( ~ c_in(c_Pair(X6,X34,X5,X46),X14,tc_prod(X5,X46))
| ~ c_in(c_Pair(X4,X6,X2,X5),X37,tc_prod(X2,X5))
| c_in(c_Pair(X4,X34,X2,X46),c_Relation_Orel__comp(X14,X37,X5,X46,X2),tc_prod(X2,X46)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_Orel__compI_0) ).
fof(f313,axiom,
! [X2,X38,X15,X5,X13] :
( ~ c_in(X38,c_Sum__Type_OPlus(X13,X15,X2,X5),tc_sum(X2,X5))
| c_Sum__Type_OInr(c_Main_OPlusE__2(X15,X38,X5,X2),X5,X2) = X38
| c_Sum__Type_OInl(c_Main_OPlusE__1(X13,X38,X2,X5),X2,X5) = X38 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sum__Type_OPlusE_0) ).
fof(f314,axiom,
! [X2,X38,X15,X5,X13] :
( c_in(c_Main_OPlusE__2(X15,X38,X5,X2),X15,X5)
| ~ c_in(X38,c_Sum__Type_OPlus(X13,X15,X2,X5),tc_sum(X2,X5))
| c_Sum__Type_OInl(c_Main_OPlusE__1(X13,X38,X2,X5),X2,X5) = X38 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sum__Type_OPlusE_1) ).
fof(f315,axiom,
! [X2,X38,X15,X5,X13] :
( c_in(c_Main_OPlusE__1(X13,X38,X2,X5),X13,X2)
| ~ c_in(X38,c_Sum__Type_OPlus(X13,X15,X2,X5),tc_sum(X2,X5))
| c_Sum__Type_OInr(c_Main_OPlusE__2(X15,X38,X5,X2),X5,X2) = X38 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sum__Type_OPlusE_2) ).
fof(f316,axiom,
! [X2,X38,X15,X5,X13] :
( c_in(c_Main_OPlusE__2(X15,X38,X5,X2),X15,X5)
| c_in(c_Main_OPlusE__1(X13,X38,X2,X5),X13,X2)
| ~ c_in(X38,c_Sum__Type_OPlus(X13,X15,X2,X5),tc_sum(X2,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sum__Type_OPlusE_3) ).
fof(f62,axiom,
! [X2,X21,X22,X13] :
( ~ c_in(X22,c_List_Olists(X13,X2),tc_List_Olist(X2))
| ~ c_in(X21,c_List_Olists(X13,X2),tc_List_Olist(X2))
| c_in(c_append(X21,X22,X2),c_List_Olists(X13,X2),tc_List_Olist(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend__in__lists__conv__iff2_0) ).
fof(f214,axiom,
! [X2,X8,X7,X15,X5,X13] :
( ~ c_in(X8,X15,tc_set(tc_Datatype__Universe_Onode(X2,X5)))
| ~ c_in(X7,X13,tc_set(tc_Datatype__Universe_Onode(X2,X5)))
| c_in(c_Datatype__Universe_OScons(X7,X8,X2,X5),c_Datatype__Universe_Ouprod(X13,X15,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OuprodI_0) ).
fof(f230,axiom,
! [X2,X13] :
( ~ c_in(X13,c_Finite__Set_OFinites,tc_set(tc_set(X2)))
| c_in(c_Main_Ofinite__Union__1(X13,X2),X13,tc_set(X2))
| c_in(c_Union(X13,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Union_0) ).
fof(f231,axiom,
! [X2,X13] :
( ~ c_in(X13,c_Finite__Set_OFinites,tc_set(tc_set(X2)))
| ~ c_in(c_Main_Ofinite__Union__1(X13,X2),c_Finite__Set_OFinites,tc_set(X2))
| c_in(c_Union(X13,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Union_1) ).
fof(f37,axiom,
! [X2,X16,X17] :
( ~ c_in(X17,c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(X16,c_Finite__Set_OFinites,tc_set(X2))
| c_in(c_union(X16,X17,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Un__iff2_0) ).
fof(f244,axiom,
! [X2,X21,X41,X13] :
( c_in(X41,X13,X2)
| ~ c_in(X41,c_List_Oset(X21,X2),X2)
| ~ c_in(X21,c_List_Olists(X13,X2),tc_List_Olist(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oin__listsD__dest_0) ).
fof(f163,axiom,
! [X2,X36,X35,X13] :
( c_in(X13,X35,X2)
| ~ c_in(X35,X36,tc_set(X2))
| ~ c_in(X13,c_Inter(X36,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OInterD_0) ).
fof(f169,axiom,
! [X2,X34,X15,X13] :
( c_in(X34,X13,X2)
| c_in(X34,X15,X2)
| ~ c_in(X34,c_union(X13,X15,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
fof(f104,axiom,
! [X18,X12] :
( c_less(c_0,X12,tc_nat)
| c_less(c_0,X18,tc_nat)
| ~ c_less(c_0,c_plus(X12,X18,tc_nat),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__gr__0__iff1_0) ).
fof(f272,axiom,
! [X2,X6,X14,X4,X5,X13] :
( ~ c_in(X4,X13,X2)
| c_in(X6,c_Relation_OImage(X14,X13,X2,X5),X5)
| ~ c_in(c_Pair(X4,X6,X2,X5),X14,tc_prod(X2,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OImageI_0) ).
fof(f258,axiom,
! [X2,X4,X42,X13] :
( ~ c_in(X4,X13,X2)
| ~ c_in(X42,c_List_Olists(X13,X2),tc_List_Olist(X2))
| c_in(c_List_Olist_OCons(X4,X42,X2),c_List_Olists(X13,X2),tc_List_Olist(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olists_OCons_0) ).
fof(f173,axiom,
! [X2,X36,X35,X13] :
( ~ c_in(X13,X35,X2)
| ~ c_in(X35,X36,tc_set(X2))
| c_in(X13,c_Union(X36,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnionI_0) ).
fof(f159,axiom,
! [X2,X34,X15,X13] :
( ~ c_in(X34,X13,X2)
| c_in(X34,X15,X2)
| c_in(X34,c_minus(X13,X15,tc_set(X2)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_ODiffI_0) ).
fof(f306,axiom,
! [X2,X34,X15,X13] :
( ~ c_in(X34,X13,X2)
| c_in(X34,X15,X2)
| ~ c_lessequals(X13,X15,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f162,axiom,
! [X2,X34,X15,X13] :
( ~ c_in(X34,X15,X2)
| ~ c_in(X34,X13,X2)
| c_in(X34,c_inter(X13,X15,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OIntI_0) ).
fof(f42,axiom,
! [X18,X9,X12] :
( ~ c_Divides_Oop_Advd(X9,X18,tc_nat)
| ~ c_Divides_Oop_Advd(X9,X12,tc_nat)
| c_Divides_Oop_Advd(X9,c_GCD_Ogcd(c_Pair(X12,X18,tc_nat,tc_nat)),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_GCD_Ogcd__greatest__iff__iff2_0) ).
fof(f302,axiom,
! [X2,X15,X13] :
( X13 = X15
| ~ c_lessequals(X13,X15,tc_set(X2))
| c_less(X13,X15,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OpsubsetI_0) ).
fof(f309,axiom,
! [X2,X15,X13] :
( X13 = X15
| ~ c_lessequals(X13,X15,tc_set(X2))
| ~ c_lessequals(X15,X13,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
fof(f177,axiom,
! [X2,X6,X4,X13] :
( X4 = X6
| c_in(X4,X13,X2)
| ~ c_in(X4,c_insert(X6,X13,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
fof(f196,axiom,
! [X2,X0,X14,X23] :
( ~ c_Wellfounded__Recursion_Owf(X14,X2)
| c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X23,X0,X2,X2),X14,tc_prod(X2,X2)),X2)
| c_in(c_Pair(X0,X23,X2,X2),c_Transitive__Closure_Ortrancl(X14,X2),tc_prod(X2,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Owf__insert__iff2_0) ).
fof(f325,axiom,
! [X50,X2,X49,X5] :
( ~ c_Wellfounded__Recursion_Owf(X49,X5)
| ~ c_Wellfounded__Recursion_Owf(X50,X2)
| c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X50,X49,X2,X5),tc_prod(X2,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Owf__lex__prod_0) ).
fof(f193,axiom,
! [X2,X0,X14,X23] :
( ~ c_Wellfounded__Recursion_Oacyclic(X14,X2)
| c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X23,X0,X2,X2),X14,tc_prod(X2,X2)),X2)
| c_in(c_Pair(X0,X23,X2,X2),c_Transitive__Closure_Ortrancl(X14,X2),tc_prod(X2,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Oacyclic__insert__iff2_0) ).
fof(f138,axiom,
! [X2,X31,X9] :
( ~ class_Orderings_Oord(X2)
| c_lessequals(X31,X9,X2)
| ~ c_in(X31,c_SetInterval_OatMost(X9,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatMost__iff__iff1_0) ).
fof(f133,axiom,
! [X2,X31,X9] :
( ~ class_Orderings_Oord(X2)
| c_lessequals(X9,X31,X2)
| ~ c_in(X31,c_SetInterval_OatLeast(X9,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__iff__iff1_0) ).
fof(f148,axiom,
! [X2,X31,X9] :
( ~ class_Orderings_Oord(X2)
| c_less(X31,X9,X2)
| ~ c_in(X31,c_SetInterval_OlessThan(X9,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__iff__iff1_0) ).
fof(f143,axiom,
! [X2,X31,X9] :
( ~ class_Orderings_Oord(X2)
| c_less(X9,X31,X2)
| ~ c_in(X31,c_SetInterval_OgreaterThan(X9,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__iff__iff1_0) ).
fof(f139,axiom,
! [X2,X31,X9] :
( ~ class_Orderings_Oord(X2)
| ~ c_lessequals(X31,X9,X2)
| c_in(X31,c_SetInterval_OatMost(X9,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatMost__iff__iff2_0) ).
fof(f134,axiom,
! [X2,X31,X9] :
( ~ class_Orderings_Oord(X2)
| ~ c_lessequals(X9,X31,X2)
| c_in(X31,c_SetInterval_OatLeast(X9,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__iff__iff2_0) ).
fof(f149,axiom,
! [X2,X31,X9] :
( ~ class_Orderings_Oord(X2)
| ~ c_less(X31,X9,X2)
| c_in(X31,c_SetInterval_OlessThan(X9,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__iff__iff2_0) ).
fof(f144,axiom,
! [X2,X31,X9] :
( ~ class_Orderings_Oord(X2)
| ~ c_less(X9,X31,X2)
| c_in(X31,c_SetInterval_OgreaterThan(X9,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__iff__iff2_0) ).
fof(f140,axiom,
! [X2,X0,X23] :
( ~ class_Orderings_Oorder(X2)
| c_lessequals(X0,X23,X2)
| ~ c_lessequals(c_SetInterval_OatMost(X0,X2),c_SetInterval_OatMost(X23,X2),tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatMost__subset__iff__iff1_0) ).
fof(f135,axiom,
! [X2,X0,X23] :
( ~ class_Orderings_Oorder(X2)
| c_lessequals(X23,X0,X2)
| ~ c_lessequals(c_SetInterval_OatLeast(X0,X2),c_SetInterval_OatLeast(X23,X2),tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__subset__iff__iff1_0) ).
fof(f141,axiom,
! [X2,X0,X23] :
( ~ class_Orderings_Oorder(X2)
| ~ c_lessequals(X0,X23,X2)
| c_lessequals(c_SetInterval_OatMost(X0,X2),c_SetInterval_OatMost(X23,X2),tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatMost__subset__iff__iff2_0) ).
fof(f136,axiom,
! [X2,X0,X23] :
( ~ class_Orderings_Oorder(X2)
| ~ c_lessequals(X23,X0,X2)
| c_lessequals(c_SetInterval_OatLeast(X0,X2),c_SetInterval_OatLeast(X23,X2),tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__subset__iff__iff2_0) ).
fof(f150,axiom,
! [X2,X0,X23] :
( ~ class_Orderings_Olinorder(X2)
| c_lessequals(X0,X23,X2)
| ~ c_lessequals(c_SetInterval_OlessThan(X0,X2),c_SetInterval_OlessThan(X23,X2),tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__subset__iff__iff1_0) ).
fof(f145,axiom,
! [X2,X0,X23] :
( ~ class_Orderings_Olinorder(X2)
| c_lessequals(X23,X0,X2)
| ~ c_lessequals(c_SetInterval_OgreaterThan(X0,X2),c_SetInterval_OgreaterThan(X23,X2),tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__subset__iff__iff1_0) ).
fof(f151,axiom,
! [X2,X0,X23] :
( ~ class_Orderings_Olinorder(X2)
| ~ c_lessequals(X0,X23,X2)
| c_lessequals(c_SetInterval_OlessThan(X0,X2),c_SetInterval_OlessThan(X23,X2),tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__subset__iff__iff2_0) ).
fof(f146,axiom,
! [X2,X0,X23] :
( ~ class_Orderings_Olinorder(X2)
| ~ c_lessequals(X23,X0,X2)
| c_lessequals(c_SetInterval_OgreaterThan(X0,X2),c_SetInterval_OgreaterThan(X23,X2),tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__subset__iff__iff2_0) ).
fof(f147,axiom,
! [X2,X0,X23] :
( ~ class_Orderings_Olinorder(X2)
| X0 = X23
| c_SetInterval_OlessThan(X0,X2) != c_SetInterval_OlessThan(X23,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OlessThan__eq__iff__iff1_0) ).
fof(f137,axiom,
! [X2,X0,X23] :
( ~ class_Orderings_Olinorder(X2)
| X0 = X23
| c_SetInterval_OatMost(X0,X2) != c_SetInterval_OatMost(X23,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatMost__eq__iff__iff1_0) ).
fof(f132,axiom,
! [X2,X0,X23] :
( ~ class_Orderings_Olinorder(X2)
| X0 = X23
| c_SetInterval_OatLeast(X0,X2) != c_SetInterval_OatLeast(X23,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OatLeast__eq__iff__iff1_0) ).
fof(f142,axiom,
! [X2,X0,X23] :
( ~ class_Orderings_Olinorder(X2)
| X0 = X23
| c_SetInterval_OgreaterThan(X0,X2) != c_SetInterval_OgreaterThan(X23,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_OgreaterThan__eq__iff__iff1_0) ).
fof(f444,axiom,
! [X51,X52] :
( class_Finite__Set_Ofinite(tc_prod(X52,X51))
| ~ class_Finite__Set_Ofinite(X51)
| ~ class_Finite__Set_Ofinite(X52) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_prod_0) ).
fof(f450,axiom,
! [X51,X52] :
( class_Finite__Set_Ofinite(tc_sum(X52,X51))
| ~ class_Finite__Set_Ofinite(X51)
| ~ class_Finite__Set_Ofinite(X52) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_sum_0) ).
fof(f394,axiom,
! [X51,X52] :
( class_Finite__Set_Ofinite(tc_fun(X52,X51))
| ~ class_Finite__Set_Ofinite(X51)
| ~ class_Finite__Set_Ofinite(X52) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun_0) ).
fof(f210,axiom,
! [X2,X11,X8,X37,X14,X5] :
( ~ c_in(c_Pair(X8,X11,tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),X37,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))))
| c_in(c_Pair(c_Datatype__Universe_OIn1(X8,X2,X5),c_Datatype__Universe_OIn1(X11,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),c_Datatype__Universe_Odsum(X14,X37,X2,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_Odsum__In1I_0) ).
fof(f209,axiom,
! [X2,X10,X37,X7,X14,X5] :
( ~ c_in(c_Pair(X7,X10,tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),X14,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))))
| c_in(c_Pair(c_Datatype__Universe_OIn0(X7,X2,X5),c_Datatype__Universe_OIn0(X10,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),c_Datatype__Universe_Odsum(X14,X37,X2,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_Odsum__In0I_0) ).
fof(f249,axiom,
! [X2,X21,X14,X22,X23] :
( ~ c_in(c_Pair(c_List_Olist_OCons(X23,X22,X2),X21,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X14,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
| c_in(c_Pair(X22,c_Main_Olistrel__Cons1__2(X14,X21,X23,X22,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X14,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olistrel__Cons1_1) ).
fof(f252,axiom,
! [X2,X21,X14,X22,X23] :
( ~ c_in(c_Pair(X21,c_List_Olist_OCons(X23,X22,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X14,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2)))
| c_in(c_Pair(c_Main_Olistrel__Cons2__2(X14,X21,X23,X22,X2),X22,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X14,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olistrel__Cons2_1) ).
fof(f248,axiom,
! [X2,X21,X14,X22,X23] :
( c_List_Olist_OCons(c_Main_Olistrel__Cons1__1(X14,X21,X23,X22,X2),c_Main_Olistrel__Cons1__2(X14,X21,X23,X22,X2),X2) = X21
| ~ c_in(c_Pair(c_List_Olist_OCons(X23,X22,X2),X21,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X14,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olistrel__Cons1_0) ).
fof(f251,axiom,
! [X2,X21,X14,X22,X23] :
( c_List_Olist_OCons(c_Main_Olistrel__Cons2__1(X14,X21,X23,X22,X2),c_Main_Olistrel__Cons2__2(X14,X21,X23,X22,X2),X2) = X21
| ~ c_in(c_Pair(X21,c_List_Olist_OCons(X23,X22,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X14,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olistrel__Cons2_0) ).
fof(f201,axiom,
! [X2,X37,X14,X34,X5] :
( ~ c_in(X34,c_Datatype__Universe_Odprod(X14,X37,X2,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))))
| c_Pair(c_Datatype__Universe_OScons(c_Main_OdprodE__1(X34,X14,X37,X2,X5),c_Main_OdprodE__2(X34,X14,X37,X2,X5),X2,X5),c_Datatype__Universe_OScons(c_Main_OdprodE__3(X34,X14,X37,X2,X5),c_Main_OdprodE__4(X34,X14,X37,X2,X5),X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))) = X34 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OdprodE_0) ).
fof(f202,axiom,
! [X2,X37,X14,X34,X5] :
( ~ c_in(X34,c_Datatype__Universe_Odprod(X14,X37,X2,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))))
| c_in(c_Pair(c_Main_OdprodE__2(X34,X14,X37,X2,X5),c_Main_OdprodE__4(X34,X14,X37,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),X37,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OdprodE_1) ).
fof(f203,axiom,
! [X2,X37,X14,X34,X5] :
( ~ c_in(X34,c_Datatype__Universe_Odprod(X14,X37,X2,X5),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))))
| c_in(c_Pair(c_Main_OdprodE__1(X34,X14,X37,X2,X5),c_Main_OdprodE__3(X34,X14,X37,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5))),X14,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X5)),tc_set(tc_Datatype__Universe_Onode(X2,X5)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OdprodE_2) ).
fof(f253,axiom,
! [X2,X21,X14,X22,X23] :
( c_in(c_Pair(c_Main_Olistrel__Cons2__1(X14,X21,X23,X22,X2),X23,X2,X2),X14,tc_prod(X2,X2))
| ~ c_in(c_Pair(X21,c_List_Olist_OCons(X23,X22,X2),tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X14,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olistrel__Cons2_2) ).
fof(f250,axiom,
! [X2,X21,X14,X22,X23] :
( c_in(c_Pair(X23,c_Main_Olistrel__Cons1__1(X14,X21,X23,X22,X2),X2,X2),X14,tc_prod(X2,X2))
| ~ c_in(c_Pair(c_List_Olist_OCons(X23,X22,X2),X21,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X14,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olistrel__Cons1_2) ).
fof(f320,axiom,
! [X2,X6,X14,X4] :
( ~ c_in(c_Pair(X4,X6,X2,X2),c_Transitive__Closure_Otrancl(X14,X2),tc_prod(X2,X2))
| c_in(c_Pair(X4,X6,X2,X2),c_Transitive__Closure_Ortrancl(X14,X2),tc_prod(X2,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Transitive__Closure_Otrancl__into__rtrancl_0) ).
fof(f195,axiom,
! [X2,X0,X14,X23] :
( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X23,X0,X2,X2),X14,tc_prod(X2,X2)),X2)
| ~ c_in(c_Pair(X0,X23,X2,X2),c_Transitive__Closure_Ortrancl(X14,X2),tc_prod(X2,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Owf__insert__iff1_1) ).
fof(f192,axiom,
! [X2,X0,X14,X23] :
( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X23,X0,X2,X2),X14,tc_prod(X2,X2)),X2)
| ~ c_in(c_Pair(X0,X23,X2,X2),c_Transitive__Closure_Ortrancl(X14,X2),tc_prod(X2,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Oacyclic__insert__iff1_1) ).
fof(f280,axiom,
! [X2,X46,X37,X45,X14,X5] :
( ~ c_in(X45,c_Relation_Orel__comp(X14,X37,X46,X5,X2),tc_prod(X2,X5))
| c_in(c_Pair(c_Main_Orel__compE__2(X14,X37,X45,X46,X5,X2),c_Main_Orel__compE__3(X14,X37,X45,X46,X5,X2),X46,X5),X14,tc_prod(X46,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_Orel__compE_0) ).
fof(f281,axiom,
! [X2,X46,X37,X45,X14,X5] :
( ~ c_in(X45,c_Relation_Orel__comp(X14,X37,X46,X5,X2),tc_prod(X2,X5))
| c_in(c_Pair(c_Main_Orel__compE__1(X14,X37,X45,X46,X5,X2),c_Main_Orel__compE__2(X14,X37,X45,X46,X5,X2),X2,X46),X37,tc_prod(X2,X46)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_Orel__compE_1) ).
fof(f282,axiom,
! [X2,X46,X37,X45,X14,X5] :
( ~ c_in(X45,c_Relation_Orel__comp(X14,X37,X46,X5,X2),tc_prod(X2,X5))
| c_Pair(c_Main_Orel__compE__1(X14,X37,X45,X46,X5,X2),c_Main_Orel__compE__3(X14,X37,X45,X46,X5,X2),X2,X5) = X45 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_Orel__compE_2) ).
fof(f211,axiom,
! [X2,X34,X15,X5,X13] :
( ~ c_in(X34,c_Datatype__Universe_Ouprod(X13,X15,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)))
| c_Datatype__Universe_OScons(c_Main_OuprodE__1(X13,X15,X34,X2,X5),c_Main_OuprodE__2(X13,X15,X34,X2,X5),X2,X5) = X34 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OuprodE_0) ).
fof(f213,axiom,
! [X2,X34,X15,X5,X13] :
( ~ c_in(X34,c_Datatype__Universe_Ouprod(X13,X15,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)))
| c_in(c_Main_OuprodE__1(X13,X15,X34,X2,X5),X13,tc_set(tc_Datatype__Universe_Onode(X2,X5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OuprodE_2) ).
fof(f212,axiom,
! [X2,X34,X15,X5,X13] :
( ~ c_in(X34,c_Datatype__Universe_Ouprod(X13,X15,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5)))
| c_in(c_Main_OuprodE__2(X13,X15,X34,X2,X5),X15,tc_set(tc_Datatype__Universe_Onode(X2,X5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OuprodE_1) ).
fof(f129,axiom,
! [X2,X6,X14,X4,X5] :
( c_in(c_Pair(X6,X4,X5,X2),X14,tc_prod(X5,X2))
| ~ c_in(c_Pair(X4,X6,X2,X5),c_Relation_Oconverse(X14,X5,X2),tc_prod(X2,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_Oconverse__iff__iff1_0) ).
fof(f127,axiom,
! [X2,X6,X14,X4,X5] :
( c_in(c_Pair(X4,X6,X5,X2),X14,tc_prod(X5,X2))
| ~ c_in(X6,c_Relation_OImage(X14,c_insert(X4,c_emptyset,X5),X5,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OImage__singleton__iff__iff1_0) ).
fof(f130,axiom,
! [X2,X6,X14,X4,X5] :
( ~ c_in(c_Pair(X6,X4,X5,X2),X14,tc_prod(X5,X2))
| c_in(c_Pair(X4,X6,X2,X5),c_Relation_Oconverse(X14,X5,X2),tc_prod(X2,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_Oconverse__iff__iff2_0) ).
fof(f319,axiom,
! [X2,X6,X14,X4] :
( ~ c_in(c_Pair(X4,X6,X2,X2),X14,tc_prod(X2,X2))
| c_in(c_Pair(X4,X6,X2,X2),c_Transitive__Closure_Otrancl(X14,X2),tc_prod(X2,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Transitive__Closure_Otrancl_Or__into__trancl_0) ).
fof(f128,axiom,
! [X2,X6,X14,X4,X5] :
( ~ c_in(c_Pair(X4,X6,X5,X2),X14,tc_prod(X5,X2))
| c_in(X6,c_Relation_OImage(X14,c_insert(X4,c_emptyset,X5),X5,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OImage__singleton__iff__iff2_0) ).
fof(f31,axiom,
! [X2,X4,X15,X13] :
( c_in(c_minus(X13,X15,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(c_minus(X13,c_insert(X4,X15,X2),tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Diff__insert__iff1_0) ).
fof(f32,axiom,
! [X2,X4,X15,X13] :
( ~ c_in(c_minus(X13,X15,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))
| c_in(c_minus(X13,c_insert(X4,X15,X2),tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Diff__insert__iff2_0) ).
fof(f275,axiom,
! [X2,X44,X14,X5] :
( ~ c_in(X44,c_Relation_Oconverse(X14,X5,X2),tc_prod(X2,X5))
| c_in(c_Pair(c_Main_OconverseE__1(X14,X44,X5,X2),c_Main_OconverseE__2(X14,X44,X5,X2),X5,X2),X14,tc_prod(X5,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OconverseE_0) ).
fof(f276,axiom,
! [X2,X44,X14,X5] :
( ~ c_in(X44,c_Relation_Oconverse(X14,X5,X2),tc_prod(X2,X5))
| c_Pair(c_Main_OconverseE__2(X14,X44,X5,X2),c_Main_OconverseE__1(X14,X44,X5,X2),X2,X5) = X44 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OconverseE_1) ).
fof(f180,axiom,
! [X2,X6,X4,X13] :
( c_lessequals(X13,c_insert(X6,c_emptyset,X2),tc_set(X2))
| c_insert(X4,X13,X2) != c_insert(X6,c_emptyset,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osingleton__insert__inj__eq_H__iff1_1) ).
fof(f183,axiom,
! [X2,X6,X4,X13] :
( c_lessequals(X13,c_insert(X6,c_emptyset,X2),tc_set(X2))
| c_insert(X4,X13,X2) != c_insert(X6,c_emptyset,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osingleton__insert__inj__eq__iff1_1) ).
fof(f271,axiom,
! [X2,X6,X14,X5,X13] :
( ~ c_in(X6,c_Relation_OImage(X14,X13,X5,X2),X2)
| c_in(c_Pair(c_Main_OImageE__1(X13,X6,X14,X5,X2),X6,X5,X2),X14,tc_prod(X5,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OImageE_1) ).
fof(f270,axiom,
! [X2,X6,X14,X5,X13] :
( ~ c_in(X6,c_Relation_OImage(X14,X13,X5,X2),X2)
| c_in(c_Main_OImageE__1(X13,X6,X14,X5,X2),X13,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OImageE_0) ).
fof(f277,axiom,
! [X2,X34,X13] :
( ~ c_in(X34,c_Relation_Odiag(X13,X2),tc_prod(X2,X2))
| c_Pair(c_Main_OdiagE__1(X13,X34,X2),c_Main_OdiagE__1(X13,X34,X2),X2,X2) = X34 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OdiagE_0) ).
fof(f181,axiom,
! [X2,X0,X13] :
( ~ c_lessequals(X13,c_insert(X0,c_emptyset,X2),tc_set(X2))
| c_insert(X0,c_emptyset,X2) = c_insert(X0,X13,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osingleton__insert__inj__eq_H__iff2_0) ).
fof(f184,axiom,
! [X2,X0,X13] :
( ~ c_lessequals(X13,c_insert(X0,c_emptyset,X2),tc_set(X2))
| c_insert(X0,c_emptyset,X2) = c_insert(X0,X13,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osingleton__insert__inj__eq__iff2_0) ).
fof(f83,axiom,
! [X2,X21,X22,X23] :
( c_List_Orev(X21,X2) != c_List_Olist_OCons(X23,X22,X2)
| c_append(c_List_Orev(X22,X2),c_List_Olist_OCons(X23,c_List_Olist_ONil,X2),X2) = X21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Orev__eq__Cons__iff__iff1_0) ).
fof(f278,axiom,
! [X2,X34,X13] :
( c_in(c_Main_OdiagE__1(X13,X34,X2),X13,X2)
| ~ c_in(X34,c_Relation_Odiag(X13,X2),tc_prod(X2,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OdiagE_1) ).
fof(f274,axiom,
! [X2,X6,X14,X4,X5] :
( c_in(X6,c_Relation_ORange(X14,X2,X5),X5)
| ~ c_in(c_Pair(X4,X6,X2,X5),X14,tc_prod(X2,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_ORangeI_0) ).
fof(f268,axiom,
! [X2,X6,X14,X4,X5] :
( c_in(X4,c_Relation_ODomain(X14,X2,X5),X2)
| ~ c_in(c_Pair(X4,X6,X2,X5),X14,tc_prod(X2,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_ODomainI_0) ).
fof(f60,axiom,
! [X2,X21,X22,X13] :
( c_in(X21,c_List_Olists(X13,X2),tc_List_Olist(X2))
| ~ c_in(c_append(X21,X22,X2),c_List_Olists(X13,X2),tc_List_Olist(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend__in__lists__conv__iff1_0) ).
fof(f61,axiom,
! [X2,X21,X22,X13] :
( c_in(X22,c_List_Olists(X13,X2),tc_List_Olist(X2))
| ~ c_in(c_append(X21,X22,X2),c_List_Olists(X13,X2),tc_List_Olist(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend__in__lists__conv__iff1_1) ).
fof(f256,axiom,
! [X2,X0,X42,X13] :
( c_in(X42,c_List_Olists(X13,X2),tc_List_Olist(X2))
| ~ c_in(c_List_Olist_OCons(X0,X42,X2),c_List_Olists(X13,X2),tc_List_Olist(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_OlistsE_0) ).
fof(f245,axiom,
! [X2,X21,X13] :
( c_in(X21,c_List_Olists(X13,X2),tc_List_Olist(X2))
| c_in(c_Main_Oin__listsI__1(X13,X21,X2),c_List_Oset(X21,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oin__listsI_0) ).
fof(f38,axiom,
! [X2,X14,X5] :
( c_in(X14,c_Finite__Set_OFinites,tc_set(tc_prod(X5,X2)))
| ~ c_in(c_Relation_Oconverse(X14,X5,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__converse__iff1_0) ).
fof(f246,axiom,
! [X2,X21,X13] :
( ~ c_in(c_Main_Oin__listsI__1(X13,X21,X2),X13,X2)
| c_in(X21,c_List_Olists(X13,X2),tc_List_Olist(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oin__listsI_1) ).
fof(f273,axiom,
! [X2,X6,X14,X5] :
( ~ c_in(X6,c_Relation_ORange(X14,X5,X2),X2)
| c_in(c_Pair(c_Main_ORangeE__1(X6,X14,X2,X5),X6,X5,X2),X14,tc_prod(X5,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_ORangeE_0) ).
fof(f267,axiom,
! [X2,X14,X4,X5] :
( ~ c_in(X4,c_Relation_ODomain(X14,X2,X5),X2)
| c_in(c_Pair(X4,c_Main_ODomainE__1(X4,X14,X2,X5),X2,X5),X14,tc_prod(X2,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_ODomainE_0) ).
fof(f39,axiom,
! [X2,X14,X5] :
( ~ c_in(X14,c_Finite__Set_OFinites,tc_set(tc_prod(X5,X2)))
| c_in(c_Relation_Oconverse(X14,X5,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__converse__iff2_0) ).
fof(f219,axiom,
! [X2,X7,X15,X5,X13] :
( ~ c_in(X7,X13,tc_set(tc_Datatype__Universe_Onode(X2,X5)))
| c_in(c_Datatype__Universe_OIn0(X7,X2,X5),c_Datatype__Universe_Ousum(X13,X15,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_Ousum__In0I_0) ).
fof(f220,axiom,
! [X2,X8,X15,X5,X13] :
( ~ c_in(X8,X15,tc_set(tc_Datatype__Universe_Onode(X2,X5)))
| c_in(c_Datatype__Universe_OIn1(X8,X2,X5),c_Datatype__Universe_Ousum(X13,X15,X2,X5),tc_set(tc_Datatype__Universe_Onode(X2,X5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_Ousum__In1I_0) ).
fof(f294,axiom,
! [X2,X36,X13] :
( c_in(X13,c_Inter(X36,X2),X2)
| c_in(c_Main_OInterI__1(X13,X36,X2),X36,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OInterI_0) ).
fof(f295,axiom,
! [X2,X36,X13] :
( c_in(X13,c_Inter(X36,X2),X2)
| ~ c_in(X13,c_Main_OInterI__1(X13,X36,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OInterI_1) ).
fof(f297,axiom,
! [X2,X36,X13] :
( ~ c_in(X13,c_Union(X36,X2),X2)
| c_in(c_Main_OUnionE__1(X13,X36,X2),X36,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnionE_0) ).
fof(f298,axiom,
! [X2,X36,X13] :
( ~ c_in(X13,c_Union(X36,X2),X2)
| c_in(X13,c_Main_OUnionE__1(X13,X36,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnionE_1) ).
fof(f269,axiom,
! [X2,X43] :
( ~ c_in(X43,c_Relation_OId,tc_prod(X2,X2))
| c_Pair(c_Main_OIdE__1(X43,X2),c_Main_OIdE__1(X43,X2),X2,X2) = X43 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OIdE_0) ).
fof(f317,axiom,
! [X2,X14,X43] :
( ~ c_in(X43,X14,tc_prod(X2,X2))
| c_in(X43,c_Transitive__Closure_Ortrancl(X14,X2),tc_prod(X2,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Transitive__Closure_Or__into__rtrancl_0) ).
fof(f225,axiom,
! [X39,X12] :
( c_0 != c_Divides_Oop_Amod(X12,X39,tc_nat)
| c_times(X39,c_Main_Omod__eq__0D__dest__1(X39,X12),tc_nat) = X12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Omod__eq__0D__dest_0) ).
fof(f241,axiom,
! [X39,X12] :
( c_0 != c_Divides_Oop_Amod(X12,X39,tc_IntDef_Oint)
| c_times(X39,c_Main_Ozmod__eq__0D__dest__1(X39,X12),tc_IntDef_Oint) = X12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozmod__eq__0D__dest_0) ).
fof(f155,axiom,
! [X2,X15,X13] :
( c_lessequals(X15,X13,tc_set(X2))
| ~ c_lessequals(c_uminus(X13,tc_set(X2)),c_uminus(X15,tc_set(X2)),tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OCompl__subset__Compl__iff__iff1_0) ).
fof(f307,axiom,
! [X2,X15,X13] :
( c_lessequals(X13,X15,tc_set(X2))
| c_in(c_Main_OsubsetI__1(X13,X15,X2),X13,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f308,axiom,
! [X2,X15,X13] :
( c_lessequals(X13,X15,tc_set(X2))
| ~ c_in(c_Main_OsubsetI__1(X13,X15,X2),X15,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f164,axiom,
! [X2,X15,X13] :
( c_lessequals(X13,X15,tc_set(X2))
| ~ c_in(X13,c_Pow(X15,X2),tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OPow__iff__iff1_0) ).
fof(f36,axiom,
! [X2,X16,X17] :
( c_in(X17,c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(c_union(X16,X17,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Un__iff1_1) ).
fof(f35,axiom,
! [X2,X16,X17] :
( c_in(X16,c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(c_union(X16,X17,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Un__iff1_0) ).
fof(f33,axiom,
! [X2,X13] :
( c_in(X13,c_Finite__Set_OFinites,tc_set(X2))
| ~ c_in(c_Pow(X13,X2),c_Finite__Set_OFinites,tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Pow__iff__iff1_0) ).
fof(f1,axiom,
! [X2,X0,X1] :
( c_Datatype_Ooption_OSome(X0,X2) = X1
| ~ c_in(X0,c_Datatype_Oo2s(X1,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Oelem__o2s__iff1_0) ).
fof(f77,axiom,
! [X2,X21] :
( c_List_Oremdups(X21,X2) = X21
| c_Nat_Osize(X21,tc_List_Olist(X2)) != c_Nat_Osize(c_List_Oremdups(X21,X2),tc_List_Olist(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olength__remdups__eq__iff1_0) ).
fof(f156,axiom,
! [X2,X15,X13] :
( ~ c_lessequals(X15,X13,tc_set(X2))
| c_lessequals(c_uminus(X13,tc_set(X2)),c_uminus(X15,tc_set(X2)),tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OCompl__subset__Compl__iff__iff2_0) ).
fof(f165,axiom,
! [X2,X15,X13] :
( ~ c_lessequals(X13,X15,tc_set(X2))
| c_in(X13,c_Pow(X15,X2),tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OPow__iff__iff2_0) ).
fof(f301,axiom,
! [X2,X15,X13] :
( ~ c_less(X13,X15,tc_set(X2))
| c_lessequals(X13,X15,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OpsubsetE_1) ).
fof(f300,axiom,
! [X2,X15,X13] :
( ~ c_less(X13,X15,tc_set(X2))
| ~ c_lessequals(X15,X13,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OpsubsetE_0) ).
fof(f227,axiom,
! [X2,X4,X13] :
( ~ c_in(X13,c_Finite__Set_OFinites,tc_set(X2))
| c_in(c_insert(X4,X13,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_OFinites_OinsertI_0) ).
fof(f228,axiom,
! [X2,X16,X17] :
( ~ c_in(X16,c_Finite__Set_OFinites,tc_set(X2))
| c_in(c_inter(X16,X17,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Int_0) ).
fof(f229,axiom,
! [X2,X16,X17] :
( ~ c_in(X17,c_Finite__Set_OFinites,tc_set(X2))
| c_in(c_inter(X16,X17,X2),c_Finite__Set_OFinites,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Int_1) ).
fof(f34,axiom,
! [X2,X13] :
( ~ c_in(X13,c_Finite__Set_OFinites,tc_set(X2))
| c_in(c_Pow(X13,X2),c_Finite__Set_OFinites,tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Pow__iff__iff2_0) ).
fof(f78,axiom,
! [X2,X21] :
( c_List_Oremdups(X21,X2) != X21
| c_Nat_Osize(X21,tc_List_Olist(X2)) = c_Nat_Osize(c_List_Oremdups(X21,X2),tc_List_Olist(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olength__remdups__eq__iff2_0) ).
fof(f257,axiom,
! [X2,X0,X42,X13] :
( c_in(X0,X13,X2)
| ~ c_in(c_List_Olist_OCons(X0,X42,X2),c_List_Olists(X13,X2),tc_List_Olist(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_OlistsE_1) ).
fof(f158,axiom,
! [X2,X34,X15,X13] :
( c_in(X34,X13,X2)
| ~ c_in(X34,c_minus(X13,X15,tc_set(X2)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_ODiffE_1) ).
fof(f153,axiom,
! [X2,X34,X13] :
( c_in(X34,X13,X2)
| c_in(X34,c_uminus(X13,tc_set(X2)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OComplI_0) ).
fof(f160,axiom,
! [X2,X34,X15,X13] :
( c_in(X34,X15,X2)
| ~ c_in(X34,c_inter(X13,X15,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OIntE_0) ).
fof(f161,axiom,
! [X2,X34,X15,X13] :
( c_in(X34,X13,X2)
| ~ c_in(X34,c_inter(X13,X15,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OIntE_1) ).
fof(f98,axiom,
! [X18,X12] :
( c_lessequals(X18,X12,tc_nat)
| ~ c_lessequals(c_Suc(X18),c_Suc(X12),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OSuc__le__mono__iff1_0) ).
fof(f41,axiom,
! [X18,X9,X12] :
( c_Divides_Oop_Advd(X9,X18,tc_nat)
| ~ c_Divides_Oop_Advd(X9,c_GCD_Ogcd(c_Pair(X12,X18,tc_nat,tc_nat)),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_GCD_Ogcd__greatest__iff__iff1_1) ).
fof(f40,axiom,
! [X18,X9,X12] :
( c_Divides_Oop_Advd(X9,X12,tc_nat)
| ~ c_Divides_Oop_Advd(X9,c_GCD_Ogcd(c_Pair(X12,X18,tc_nat,tc_nat)),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_GCD_Ogcd__greatest__iff__iff1_0) ).
fof(f49,axiom,
! [X19,X20] :
( c_Divides_Oop_Advd(X19,X20,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(c_uminus(X19,tc_IntDef_Oint),X20,tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozminus__dvd__iff__iff1_0) ).
fof(f45,axiom,
! [X19,X20] :
( c_Divides_Oop_Advd(X19,X20,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(X19,c_uminus(X20,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Odvd__zminus__iff__iff1_0) ).
fof(f197,axiom,
! [X0,X23] :
( c_less(X0,X23,tc_nat)
| ~ c_in(c_Pair(X0,X23,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Oless__than__iff__iff1_0) ).
fof(f100,axiom,
! [X18,X12] :
( c_less(X12,X18,tc_nat)
| ~ c_less(c_Suc(X12),c_Suc(X18),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OSuc__less__eq__iff1_0) ).
fof(f311,axiom,
! [X2,X4,X15,X5,X13] :
( ~ c_in(X4,X13,X2)
| c_in(c_Sum__Type_OInl(X4,X2,X5),c_Sum__Type_OPlus(X13,X15,X2,X5),tc_sum(X2,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sum__Type_OInlI_0) ).
fof(f312,axiom,
! [X2,X6,X15,X5,X13] :
( ~ c_in(X6,X15,X2)
| c_in(c_Sum__Type_OInr(X6,X2,X5),c_Sum__Type_OPlus(X13,X15,X5,X2),tc_sum(X5,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sum__Type_OInrI_0) ).
fof(f279,axiom,
! [X2,X4,X13] :
( ~ c_in(X4,X13,X2)
| c_in(c_Pair(X4,X4,X2,X2),c_Relation_Odiag(X13,X2),tc_prod(X2,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OdiagI_0) ).
fof(f157,axiom,
! [X2,X34,X15,X13] :
( ~ c_in(X34,X15,X2)
| ~ c_in(X34,c_minus(X13,X15,tc_set(X2)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_ODiffE_0) ).
fof(f175,axiom,
! [X2,X6,X4,X15] :
( ~ c_in(X4,X15,X2)
| c_in(X4,c_insert(X6,X15,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_0) ).
fof(f167,axiom,
! [X2,X34,X15,X13] :
( ~ c_in(X34,X15,X2)
| c_in(X34,c_union(X13,X15,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).
fof(f168,axiom,
! [X2,X34,X15,X13] :
( ~ c_in(X34,X13,X2)
| c_in(X34,c_union(X13,X15,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).
fof(f152,axiom,
! [X2,X34,X13] :
( ~ c_in(X34,X13,X2)
| ~ c_in(X34,c_uminus(X13,tc_set(X2)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OComplD__dest_0) ).
fof(f99,axiom,
! [X18,X12] :
( ~ c_lessequals(X18,X12,tc_nat)
| c_lessequals(c_Suc(X18),c_Suc(X12),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OSuc__le__mono__iff2_0) ).
fof(f50,axiom,
! [X19,X20] :
( ~ c_Divides_Oop_Advd(X19,X20,tc_IntDef_Oint)
| c_Divides_Oop_Advd(c_uminus(X19,tc_IntDef_Oint),X20,tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozminus__dvd__iff__iff2_0) ).
fof(f46,axiom,
! [X19,X20] :
( ~ c_Divides_Oop_Advd(X19,X20,tc_IntDef_Oint)
| c_Divides_Oop_Advd(X19,c_uminus(X20,tc_IntDef_Oint),tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Odvd__zminus__iff__iff2_0) ).
fof(f106,axiom,
! [X18,X12] :
( ~ c_less(c_0,X18,tc_nat)
| c_less(c_0,c_plus(X12,X18,tc_nat),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__gr__0__iff2_1) ).
fof(f105,axiom,
! [X18,X12] :
( ~ c_less(c_0,X12,tc_nat)
| c_less(c_0,c_plus(X12,X18,tc_nat),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__gr__0__iff2_0) ).
fof(f198,axiom,
! [X0,X23] :
( ~ c_less(X0,X23,tc_nat)
| c_in(c_Pair(X0,X23,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Relations_Oless__than__iff__iff2_0) ).
fof(f101,axiom,
! [X18,X12] :
( ~ c_less(X12,X18,tc_nat)
| c_less(c_Suc(X12),c_Suc(X18),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OSuc__less__eq__iff2_0) ).
fof(f194,axiom,
! [X2,X0,X14,X23] :
( c_Wellfounded__Recursion_Owf(X14,X2)
| ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X23,X0,X2,X2),X14,tc_prod(X2,X2)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Owf__insert__iff1_0) ).
fof(f191,axiom,
! [X2,X0,X14,X23] :
( c_Wellfounded__Recursion_Oacyclic(X14,X2)
| ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X23,X0,X2,X2),X14,tc_prod(X2,X2)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Oacyclic__insert__iff1_0) ).
fof(f189,axiom,
! [X2,X14] :
( c_Wellfounded__Recursion_Oacyclic(X14,X2)
| ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X14,X2,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Oacyclic__converse__iff1_0) ).
fof(f254,axiom,
! [X2,X21,X14] :
( c_List_Olist_ONil = X21
| ~ c_in(c_Pair(c_List_Olist_ONil,X21,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X14,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olistrel__Nil1_0) ).
fof(f255,axiom,
! [X2,X21,X14] :
( c_List_Olist_ONil = X21
| ~ c_in(c_Pair(X21,c_List_Olist_ONil,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olistrel(X14,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olistrel__Nil2_0) ).
fof(f76,axiom,
! [X2,X21] :
( c_List_Olist_ONil = X21
| c_less(c_0,c_Nat_Osize(X21,tc_List_Olist(X2)),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olength__greater__0__conv__iff2_0) ).
fof(f89,axiom,
! [X2,X21,X22] :
( c_List_Olist_ONil = X21
| c_append(X21,X22,X2) != X22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oself__append__conv2__iff1_0) ).
fof(f91,axiom,
! [X2,X21,X22] :
( c_List_Olist_ONil = X22
| c_append(X21,X22,X2) != X21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oself__append__conv__iff1_0) ).
fof(f69,axiom,
! [X2,X21,X22] :
( c_List_Olist_ONil = X22
| c_append(X21,X22,X2) != X21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend__self__conv__iff1_0) ).
fof(f67,axiom,
! [X2,X21,X22] :
( c_List_Olist_ONil = X21
| c_append(X21,X22,X2) != X22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend__self__conv2__iff1_0) ).
fof(f52,axiom,
! [X2,X21,X22] :
( c_List_Olist_ONil = X21
| c_List_Olist_ONil != c_append(X21,X22,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_ONil__is__append__conv__iff1_0) ).
fof(f63,axiom,
! [X2,X21,X22] :
( c_List_Olist_ONil = X21
| c_List_Olist_ONil != c_append(X21,X22,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend__is__Nil__conv__iff1_0) ).
fof(f64,axiom,
! [X2,X21,X22] :
( c_List_Olist_ONil = X22
| c_List_Olist_ONil != c_append(X21,X22,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend__is__Nil__conv__iff1_1) ).
fof(f53,axiom,
! [X2,X21,X22] :
( c_List_Olist_ONil = X22
| c_List_Olist_ONil != c_append(X21,X22,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_ONil__is__append__conv__iff1_1) ).
fof(f73,axiom,
! [X2,X21] :
( c_List_Olist_ONil = X21
| c_0 != c_Nat_Osize(X21,tc_List_Olist(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olength__0__conv__iff1_0) ).
fof(f85,axiom,
! [X2,X21] :
( c_List_Olist_ONil = X21
| c_List_Olist_ONil != c_List_Orev(X21,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Orev__is__Nil__conv__iff1_0) ).
fof(f55,axiom,
! [X2,X21] :
( c_List_Olist_ONil != c_List_Orev(X21,X2)
| c_List_Olist_ONil = X21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_ONil__is__rev__conv__iff1_0) ).
fof(f93,axiom,
! [X2,X21] :
( c_emptyset != c_List_Oset(X21,X2)
| c_List_Olist_ONil = X21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oset__empty2__iff1_0) ).
fof(f95,axiom,
! [X2,X21] :
( c_List_Olist_ONil = X21
| c_emptyset != c_List_Oset(X21,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oset__empty__iff1_0) ).
fof(f108,axiom,
! [X18,X12] :
( c_0 = X18
| c_0 != c_plus(X12,X18,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__is__0__iff1_1) ).
fof(f107,axiom,
! [X18,X12] :
( c_0 = X12
| c_0 != c_plus(X12,X18,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oadd__is__0__iff1_0) ).
fof(f112,axiom,
! [X18] :
( ~ c_less(X18,c_Suc(c_0),tc_nat)
| c_0 = X18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oless__Suc0__iff1_0) ).
fof(f116,axiom,
! [X18] :
( c_less(c_0,X18,tc_nat)
| c_0 = X18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oneq0__conv__iff1_0) ).
fof(f110,axiom,
! [X31] :
( ~ c_lessequals(X31,c_0,tc_nat)
| c_0 = X31 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Ole__0__eq__iff1_0) ).
fof(f23,axiom,
! [X12] :
( ~ c_Divides_Oop_Advd(c_0,X12,tc_nat)
| c_0 = X12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Odvd__0__left__iff__iff1_0) ).
fof(f47,axiom,
! [X12] :
( ~ c_Divides_Oop_Advd(c_0,X12,tc_IntDef_Oint)
| c_0 = X12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__0__left__iff1_0) ).
fof(f114,axiom,
! [X18] :
( ~ c_less(X18,c_1,tc_nat)
| c_0 = X18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oless__one__iff1_0) ).
fof(f1365,axiom,
! [X2,X16,X13] :
( c_emptyset = X13
| ~ c_in(X16,c_UNITY_Oconstrains(X13,c_emptyset,X2),tc_UNITY_Oprogram(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNITY_Oconstrains__empty2__iff1_0) ).
fof(f171,axiom,
! [X2,X15,X13] :
( c_emptyset = X15
| c_emptyset != c_union(X13,X15,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__empty__iff1_1) ).
fof(f170,axiom,
! [X2,X15,X13] :
( c_emptyset = X13
| c_emptyset != c_union(X13,X15,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__empty__iff1_0) ).
fof(f27,axiom,
! [X2,X14,X13] :
( c_emptyset = X13
| c_emptyset != c_Equiv__Relations_Oquotient(X13,X14,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Equiv__Relations_Oquotient__is__empty__iff1_0) ).
fof(f25,axiom,
! [X2,X14,X13] :
( c_emptyset = X13
| c_emptyset != c_Equiv__Relations_Oquotient(X13,X14,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Equiv__Relations_Oquotient__is__empty2__iff1_0) ).
fof(f1363,axiom,
! [X2,X16,X15] :
( c_UNIV = X15
| ~ c_in(X16,c_UNITY_Oconstrains(c_UNIV,X15,X2),tc_UNITY_Oprogram(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNITY_Oconstrains__UNIV__iff1_0) ).
fof(f4,axiom,
! [X2,X0] :
( c_Datatype_Ooption_ONone = X0
| c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__iff1__1(X0,X2),X2) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Onot__Some__eq__iff1_0) ).
fof(f3,axiom,
! [X2,X0] :
( c_Datatype_Ooption_ONone = X0
| c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__iff1__1(X0,X2),X2) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Onot__None__eq__iff1_0) ).
fof(f58,axiom,
! [X2,X21,X0,X22,X23] :
( X21 = X22
| c_append(X21,c_List_Olist_OCons(X0,c_List_Olist_ONil,X2),X2) != c_append(X22,c_List_Olist_OCons(X23,c_List_Olist_ONil,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend1__eq__conv__iff1_0) ).
fof(f59,axiom,
! [X2,X21,X0,X22,X23] :
( X0 = X23
| c_append(X21,c_List_Olist_OCons(X0,c_List_Olist_ONil,X2),X2) != c_append(X22,c_List_Olist_OCons(X23,c_List_Olist_ONil,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend1__eq__conv__iff1_1) ).
fof(f124,axiom,
! [X2,X3,X6,X4,X5,X33] :
( X3 = X4
| c_Pair(X4,X6,X2,X5) != c_Pair(X3,X33,X2,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Product__Type_OPair__eq__iff1_0) ).
fof(f125,axiom,
! [X2,X3,X6,X4,X5,X33] :
( X6 = X33
| c_Pair(X4,X6,X2,X5) != c_Pair(X3,X33,X2,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Product__Type_OPair__eq__iff1_1) ).
fof(f19,axiom,
! [X2,X10,X11,X8,X7,X5] :
( X8 = X11
| c_Datatype__Universe_OScons(X7,X8,X2,X5) != c_Datatype__Universe_OScons(X10,X11,X2,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OScons__Scons__eq__iff1_1) ).
fof(f18,axiom,
! [X2,X10,X11,X8,X7,X5] :
( X7 = X10
| c_Datatype__Universe_OScons(X7,X8,X2,X5) != c_Datatype__Universe_OScons(X10,X11,X2,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OScons__Scons__eq__iff1_0) ).
fof(f131,axiom,
! [X2,X6,X4] :
( X4 = X6
| ~ c_in(c_Pair(X4,X6,X2,X2),c_Relation_OId,tc_prod(X2,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_Opair__in__Id__conv__iff1_0) ).
fof(f179,axiom,
! [X2,X6,X4,X13] :
( X4 = X6
| c_insert(X4,X13,X2) != c_insert(X6,c_emptyset,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osingleton__insert__inj__eq_H__iff1_0) ).
fof(f182,axiom,
! [X2,X6,X4,X13] :
( X4 = X6
| c_insert(X4,X13,X2) != c_insert(X6,c_emptyset,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osingleton__insert__inj__eq__iff1_0) ).
fof(f66,axiom,
! [X2,X21,X24,X22] :
( X22 = X24
| c_append(X22,X21,X2) != c_append(X24,X21,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend__same__eq__iff1_0) ).
fof(f88,axiom,
! [X2,X21,X24,X22] :
( X22 = X24
| c_append(X21,X22,X2) != c_append(X21,X24,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Osame__append__eq__iff1_0) ).
fof(f81,axiom,
! [X2,X3,X29,X4,X30] :
( X3 = X4
| c_List_Olist_OCons(X3,X29,X2) != c_List_Olist_OCons(X4,X30,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olist_Oinject__iff1_0) ).
fof(f82,axiom,
! [X2,X3,X29,X4,X30] :
( X29 = X30
| c_List_Olist_OCons(X3,X29,X2) != c_List_Olist_OCons(X4,X30,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olist_Oinject__iff1_1) ).
fof(f10,axiom,
! [X2,X8,X7,X5] :
( X7 = X8
| c_Datatype__Universe_OIn0(X7,X2,X5) != c_Datatype__Universe_OIn0(X8,X2,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OIn0__eq__iff1_0) ).
fof(f12,axiom,
! [X2,X8,X7,X5] :
( X7 = X8
| c_Datatype__Universe_OIn1(X8,X2,X5) != c_Datatype__Universe_OIn1(X7,X2,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OIn1__eq__iff1_0) ).
fof(f187,axiom,
! [X2,X0,X5,X23] :
( X0 = X23
| c_Sum__Type_OInr(X0,X5,X2) != c_Sum__Type_OInr(X23,X5,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sum__Type_OInr__eq__iff1_0) ).
fof(f185,axiom,
! [X2,X0,X5,X23] :
( X0 = X23
| c_Sum__Type_OInl(X0,X2,X5) != c_Sum__Type_OInl(X23,X2,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sum__Type_OInl__eq__iff1_0) ).
fof(f199,axiom,
! [X2,X0,X5,X23] :
( X0 = X23
| c_Datatype__Universe_OLeaf(X0,X2,X5) != c_Datatype__Universe_OLeaf(X23,X2,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OLeaf__inject__dest_0) ).
fof(f200,axiom,
! [X2,X0,X5,X23] :
( X0 = X23
| c_Datatype__Universe_ONumb(X0,X2,X5) != c_Datatype__Universe_ONumb(X23,X2,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_ONumb__inject__dest_0) ).
fof(f8,axiom,
! [X2,X6,X4,X5] :
( X4 = X6
| c_Datatype__Universe_OAtom(X4,X2,X5) != c_Datatype__Universe_OAtom(X6,X2,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OAtom__Atom__eq__iff1_0) ).
fof(f305,axiom,
! [X2,X6,X4] :
( X4 = X6
| c_insert(X6,c_emptyset,X2) != c_insert(X4,c_emptyset,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osingleton__inject__dest_0) ).
fof(f154,axiom,
! [X2,X15,X13] :
( X13 = X15
| c_uminus(X13,tc_set(X2)) != c_uminus(X15,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OCompl__eq__Compl__iff__iff1_0) ).
fof(f303,axiom,
! [X2,X6,X4] :
( X4 = X6
| ~ c_in(X6,c_insert(X4,c_emptyset,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsingletonD__dest_0) ).
fof(f87,axiom,
! [X2,X21,X22] :
( X21 = X22
| c_List_Orev(X21,X2) != c_List_Orev(X22,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Orev__is__rev__conv__iff1_0) ).
fof(f7,axiom,
! [X2,X3,X4] :
( X3 = X4
| c_Datatype_Ooption_OSome(X3,X2) != c_Datatype_Ooption_OSome(X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Ooption_Oinject__iff1_0) ).
fof(f72,axiom,
! [X28,X26,X27,X25] :
( X26 = X28
| c_List_Ochar_OChar(X25,X26) != c_List_Ochar_OChar(X27,X28) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Ochar_Oinject__iff1_1) ).
fof(f71,axiom,
! [X28,X26,X27,X25] :
( X25 = X27
| c_List_Ochar_OChar(X25,X26) != c_List_Ochar_OChar(X27,X28) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Ochar_Oinject__iff1_0) ).
fof(f97,axiom,
! [X18,X12] :
( c_Suc(X12) != c_Suc(X18)
| X12 = X18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OSuc__Suc__eq__iff1_0) ).
fof(f44,axiom,
! [X18,X12] :
( c_IntDef_Oint(X12) != c_IntDef_Oint(X18)
| X12 = X18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Oint__int__eq__iff1_0) ).
fof(f261,axiom,
! [X2,X14] :
( ~ c_Wellfounded__Recursion_Owf(X14,X2)
| c_Wellfounded__Recursion_Owf(c_List_Olex(X14,X2),tc_List_Olist(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Owf__lex_0) ).
fof(f260,axiom,
! [X2,X14] :
( ~ c_Wellfounded__Recursion_Owf(X14,X2)
| c_Wellfounded__Recursion_Owf(c_List_Olenlex(X14,X2),tc_List_Olist(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Owf__lenlex_0) ).
fof(f190,axiom,
! [X2,X14] :
( ~ c_Wellfounded__Recursion_Oacyclic(X14,X2)
| c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X14,X2,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Oacyclic__converse__iff2_0) ).
fof(f84,axiom,
! [X2,X22,X23] : c_List_Olist_OCons(X23,X22,X2) = c_List_Orev(c_append(c_List_Orev(X22,X2),c_List_Olist_OCons(X23,c_List_Olist_ONil,X2),X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Orev__eq__Cons__iff__iff2_0) ).
fof(f57,axiom,
! [X2,X14,X22] : ~ c_in(c_Pair(c_List_Olist_ONil,X22,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X14,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_ONil__notin__lex__iff1_0) ).
fof(f51,axiom,
! [X2,X21,X14] : ~ c_in(c_Pair(X21,c_List_Olist_ONil,tc_List_Olist(X2),tc_List_Olist(X2)),c_List_Olex(X14,X2),tc_prod(tc_List_Olist(X2),tc_List_Olist(X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_ONil2__notin__lex__iff1_0) ).
fof(f1368,axiom,
! [X2,X16] : c_UNITY_OActs(X16,X2) = c_insert(c_Relation_OId,c_UNITY_OActs(X16,X2),tc_set(tc_prod(X2,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNITY_Oinsert__Id__Acts_0) ).
fof(f1369,axiom,
! [X2,X16] : c_UNITY_OAllowedActs(X16,X2) = c_insert(c_Relation_OId,c_UNITY_OAllowedActs(X16,X2),tc_set(tc_prod(X2,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNITY_Oinsert__Id__AllowedActs_0) ).
fof(f318,axiom,
! [X2,X14,X4] : c_in(c_Pair(X4,X4,X2,X2),c_Transitive__Closure_Ortrancl(X14,X2),tc_prod(X2,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0) ).
fof(f247,axiom,
! [X2,X21] : c_lessequals(c_Nat_Osize(c_List_Oremdups(X21,X2),tc_List_Olist(X2)),c_Nat_Osize(X21,tc_List_Olist(X2)),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olength__remdups__leq_0) ).
fof(f126,axiom,
! [X2,X4] : c_in(c_Pair(X4,X4,X2,X2),c_Relation_OId,tc_prod(X2,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Relation_OIdI_0) ).
fof(f22,axiom,
! [X2,X8,X9,X7,X5] : c_Datatype__Universe_OScons(X7,X8,X2,X5) != c_Datatype__Universe_ONumb(X9,X2,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OScons__not__Numb__iff1_0) ).
fof(f17,axiom,
! [X2,X8,X9,X7,X5] : c_Datatype__Universe_OScons(X7,X8,X2,X5) != c_Datatype__Universe_ONumb(X9,X2,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_ONumb__not__Scons__iff1_0) ).
fof(f15,axiom,
! [X2,X8,X7,X4,X5] : c_Datatype__Universe_OScons(X7,X8,X2,X5) != c_Datatype__Universe_OLeaf(X4,X2,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OLeaf__not__Scons__iff1_0) ).
fof(f21,axiom,
! [X2,X8,X7,X4,X5] : c_Datatype__Universe_OScons(X7,X8,X2,X5) != c_Datatype__Universe_OLeaf(X4,X2,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OScons__not__Leaf__iff1_0) ).
fof(f20,axiom,
! [X2,X8,X7,X4,X5] : c_Datatype__Universe_OAtom(X4,X2,X5) != c_Datatype__Universe_OScons(X7,X8,X2,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OScons__not__Atom__iff1_0) ).
fof(f9,axiom,
! [X2,X8,X7,X4,X5] : c_Datatype__Universe_OAtom(X4,X2,X5) != c_Datatype__Universe_OScons(X7,X8,X2,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OAtom__not__Scons__iff1_0) ).
fof(f1358,axiom,
! [X2,X16] : c_in(c_Relation_OId,c_UNITY_OActs(X16,X2),tc_set(tc_prod(X2,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNITY_OId__in__Acts_0) ).
fof(f1359,axiom,
! [X2,X16] : c_in(c_Relation_OId,c_UNITY_OAllowedActs(X16,X2),tc_set(tc_prod(X2,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNITY_OId__in__AllowedActs_0) ).
fof(f232,axiom,
! [X18,X12] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X12,X18,tc_nat,tc_nat)),X12,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_GCD_Ogcd__dvd1_0) ).
fof(f233,axiom,
! [X18,X12] : c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X12,X18,tc_nat,tc_nat)),X18,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_GCD_Ogcd__dvd2_0) ).
fof(f236,axiom,
! [X18,X12] : c_less(c_uminus(c_IntDef_Oint(c_Suc(X18)),tc_IntDef_Oint),c_IntDef_Oint(X12),tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Onegative__zless_0) ).
fof(f13,axiom,
! [X2,X8,X7,X5] : c_Datatype__Universe_OIn0(X7,X2,X5) != c_Datatype__Universe_OIn1(X8,X2,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OIn1__not__In0__iff1_0) ).
fof(f11,axiom,
! [X2,X8,X7,X5] : c_Datatype__Universe_OIn0(X7,X2,X5) != c_Datatype__Universe_OIn1(X8,X2,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OIn0__not__In1__iff1_0) ).
fof(f188,axiom,
! [X2,X6,X4,X5] : c_Sum__Type_OInl(X4,X2,X5) != c_Sum__Type_OInr(X6,X5,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sum__Type_OInr__not__Inl__iff1_0) ).
fof(f186,axiom,
! [X2,X6,X4,X5] : c_Sum__Type_OInl(X4,X2,X5) != c_Sum__Type_OInr(X6,X5,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sum__Type_OInl__not__Inr__iff1_0) ).
fof(f14,axiom,
! [X2,X9,X4,X5] : c_Datatype__Universe_OLeaf(X4,X2,X5) != c_Datatype__Universe_ONumb(X9,X2,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OLeaf__not__Numb__iff1_0) ).
fof(f16,axiom,
! [X2,X9,X4,X5] : c_Datatype__Universe_OLeaf(X4,X2,X5) != c_Datatype__Universe_ONumb(X9,X2,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_ONumb__not__Leaf__iff1_0) ).
fof(f289,axiom,
! [X38,X42] : c_in(c_SetInterval_OgreaterThanAtMost(X42,X38,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__greaterThanAtMost_0) ).
fof(f286,axiom,
! [X38,X42] : c_in(c_SetInterval_OatLeastLessThan(X42,X38,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atLeastLessThan_0) ).
fof(f284,axiom,
! [X38,X42] : c_in(c_SetInterval_OatLeastAtMost(X42,X38,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atLeastAtMost_0) ).
fof(f291,axiom,
! [X38,X42] : c_in(c_SetInterval_OgreaterThanLessThan(X42,X38,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__greaterThanLessThan_0) ).
fof(f285,axiom,
! [X38,X42] : c_in(c_SetInterval_OatLeastAtMost(X42,X38,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atLeastAtMost__int_0) ).
fof(f287,axiom,
! [X38,X42] : c_in(c_SetInterval_OatLeastLessThan(X42,X38,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atLeastLessThan__int_0) ).
fof(f292,axiom,
! [X38,X42] : c_in(c_SetInterval_OgreaterThanLessThan(X42,X38,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__greaterThanLessThan__int_0) ).
fof(f290,axiom,
! [X38,X42] : c_in(c_SetInterval_OgreaterThanAtMost(X42,X38,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__greaterThanAtMost__int_0) ).
fof(f2,axiom,
! [X2,X0] : c_in(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,X2),X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Oelem__o2s__iff2_0) ).
fof(f1367,axiom,
! [X2,X16,X15] : c_in(X16,c_UNITY_Oconstrains(c_emptyset,X15,X2),tc_UNITY_Oprogram(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNITY_Oconstrains__empty_0) ).
fof(f1362,axiom,
! [X2,X16,X13] : c_in(X16,c_UNITY_Oconstrains(X13,c_UNIV,X2),tc_UNITY_Oprogram(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNITY_Oconstrains__UNIV2_0) ).
fof(f1366,axiom,
! [X2,X16] : c_in(X16,c_UNITY_Oconstrains(c_emptyset,c_emptyset,X2),tc_UNITY_Oprogram(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNITY_Oconstrains__empty2__iff2_0) ).
fof(f1364,axiom,
! [X2,X16] : c_in(X16,c_UNITY_Oconstrains(c_UNIV,c_UNIV,X2),tc_UNITY_Oprogram(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNITY_Oconstrains__UNIV__iff2_0) ).
fof(f235,axiom,
! [X18,X12] : c_lessequals(c_uminus(c_IntDef_Oint(X18),tc_IntDef_Oint),c_IntDef_Oint(X12),tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDef_Onegative__zle_0) ).
fof(f243,axiom,
! [X2,X21] : c_in(c_List_Oset(X21,X2),c_Finite__Set_OFinites,tc_set(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Ofinite__set_0) ).
fof(f288,axiom,
! [X9] : c_in(c_SetInterval_OatMost(X9,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__atMost_0) ).
fof(f293,axiom,
! [X9] : c_in(c_SetInterval_OlessThan(X9,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_SetInterval_Ofinite__lessThan_0) ).
fof(f259,axiom,
! [X2,X13] : c_in(c_List_Olist_ONil,c_List_Olists(X13,X2),tc_List_Olist(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olists_ONil_0) ).
fof(f176,axiom,
! [X2,X0,X15] : c_in(X0,c_insert(X0,X15,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
fof(f304,axiom,
! [X2,X4] : c_in(X4,c_insert(X4,c_emptyset,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsingletonI_0) ).
fof(f223,axiom,
! [X9,X12] : c_Divides_Oop_Advd(X9,c_times(X9,X12,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Odvd__triv__left_0) ).
fof(f224,axiom,
! [X9,X12] : c_Divides_Oop_Advd(X9,c_times(X12,X9,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Divides_Odvd__triv__right_0) ).
fof(f240,axiom,
! [X9,X12] : c_Divides_Oop_Advd(X9,c_times(X12,X9,tc_IntDef_Oint),tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__triv__right_0) ).
fof(f239,axiom,
! [X9,X12] : c_Divides_Oop_Advd(X9,c_times(X9,X12,tc_IntDef_Oint),tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntDiv_Ozdvd__triv__left_0) ).
fof(f119,axiom,
! [X31,X32] : ~ c_less(c_plus(X32,X31,tc_nat),X31,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onot__add__less2__iff1_0) ).
fof(f118,axiom,
! [X31,X32] : ~ c_less(c_plus(X31,X32,tc_nat),X31,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onot__add__less1__iff1_0) ).
fof(f75,axiom,
! [X2] : ~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X2)),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olength__greater__0__conv__iff1_0) ).
fof(f90,axiom,
! [X2,X22] : c_append(c_List_Olist_ONil,X22,X2) = X22,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oself__append__conv2__iff2_0) ).
fof(f92,axiom,
! [X2,X21] : c_append(X21,c_List_Olist_ONil,X2) = X21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oself__append__conv__iff2_0) ).
fof(f65,axiom,
! [X2] : c_List_Olist_ONil = c_append(c_List_Olist_ONil,c_List_Olist_ONil,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oappend__is__Nil__conv__iff2_0) ).
fof(f28,axiom,
! [X2,X14] : c_emptyset = c_Equiv__Relations_Oquotient(c_emptyset,X14,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Equiv__Relations_Oquotient__is__empty__iff2_0) ).
fof(f80,axiom,
! [X2,X3,X29] : c_List_Olist_ONil != c_List_Olist_OCons(X3,X29,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olist_Odistinct__2__iff1_0) ).
fof(f86,axiom,
! [X2] : c_List_Olist_ONil = c_List_Orev(c_List_Olist_ONil,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Orev__is__Nil__conv__iff2_0) ).
fof(f96,axiom,
! [X2] : c_emptyset = c_List_Oset(c_List_Olist_ONil,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oset__empty__iff2_0) ).
fof(f6,axiom,
! [X2,X3] : c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(X3,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Ooption_Odistinct__2__iff1_0) ).
fof(f103,axiom,
! [X12] : c_0 != c_Suc(X12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OZero__not__Suc__iff1_0) ).
fof(f30,axiom,
c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Odistinct__2__iff1_0) ).
fof(f122,axiom,
c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obit_Odistinct__2__iff1_0) ).
fof(f1371,axiom,
( c_UNITY_Oall__total(v_F,t_a)
| v_F = c_UNITY_Ototalize(v_F,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1684,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1370,f1681,f1677]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : COM009-1 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 04:58:56 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (2649)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39 % (2653)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.40 % (2652)WARNING: value z3 for option sas not known
% 0.14/0.40 % (2650)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.40 % (2651)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.40 % (2652)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)
% 0.14/0.40 % (2654)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)
% 0.14/0.40 % (2655)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)
% 0.14/0.40 % (2656)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.42 % (2652)First to succeed.
% 0.22/0.43 TRYING [1]
% 0.22/0.43 % (2655)Also succeeded, but the first one will report.
% 0.22/0.43 % (2654)Also succeeded, but the first one will report.
% 0.22/0.43 % (2652)Refutation found. Thanks to Tanya!
% 0.22/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.44 % (2652)------------------------------
% 0.22/0.44 % (2652)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.44 % (2652)Termination reason: Refutation
% 0.22/0.44
% 0.22/0.44 % (2652)Memory used [KB]: 1996
% 0.22/0.44 % (2652)Time elapsed: 0.033 s
% 0.22/0.44 % (2652)Instructions burned: 56 (million)
% 0.22/0.44 % (2652)------------------------------
% 0.22/0.44 % (2652)------------------------------
% 0.22/0.44 % (2649)Success in time 0.082 s
%------------------------------------------------------------------------------