TSTP Solution File: SWV839-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV839-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n015.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 : Sat Sep 2 13:59:30 EDT 2023
% Result : Unsatisfiable 0.26s 0.52s
% Output : Refutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 242
% Syntax : Number of formulae : 407 ( 177 unt; 0 def)
% Number of atoms : 731 ( 122 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 552 ( 228 ~; 198 |; 0 &)
% ( 126 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 149 ( 147 usr; 127 prp; 0-6 aty)
% Number of functors : 34 ( 34 usr; 8 con; 0-4 aty)
% Number of variables : 533 (; 533 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1187,plain,
$false,
inference(avatar_sat_refutation,[],[f550,f555,f560,f565,f570,f575,f580,f585,f590,f595,f600,f605,f610,f615,f620,f625,f630,f635,f640,f645,f650,f655,f661,f665,f669,f673,f677,f681,f685,f689,f693,f697,f701,f705,f709,f713,f717,f721,f725,f729,f733,f737,f741,f745,f749,f753,f757,f761,f765,f769,f773,f777,f781,f788,f792,f796,f800,f804,f808,f812,f816,f820,f824,f828,f832,f836,f840,f846,f859,f863,f867,f871,f875,f879,f883,f887,f891,f895,f899,f903,f907,f911,f915,f920,f930,f934,f938,f942,f946,f950,f954,f958,f962,f966,f970,f974,f978,f982,f986,f990,f995,f1000,f1004,f1008,f1012,f1016,f1020,f1053,f1057,f1061,f1065,f1069,f1073,f1077,f1081,f1085,f1090,f1094,f1098,f1102,f1106,f1110,f1114,f1118,f1122,f1133,f1186]) ).
fof(f1186,plain,
( spl0_23
| ~ spl0_124 ),
inference(avatar_contradiction_clause,[],[f1184]) ).
fof(f1184,plain,
( $false
| spl0_23
| ~ spl0_124 ),
inference(resolution,[],[f1117,f660]) ).
fof(f660,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a)),t_a)
| spl0_23 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f658,plain,
( spl0_23
<=> c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a)),t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f1117,plain,
( ! [X31,X1,X25] : c_Hoare__Mirabelle_Ohoare__derivs(X31,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(X1)),c_Hoare__Mirabelle_Otriple_Otriple(X25,c_Com_Ocom_OSKIP,X25,X1)),X1)
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f1116]) ).
fof(f1116,plain,
( spl0_124
<=> ! [X25,X1,X31] : c_Hoare__Mirabelle_Ohoare__derivs(X31,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(X1)),c_Hoare__Mirabelle_Otriple_Otriple(X25,c_Com_Ocom_OSKIP,X25,X1)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f1133,plain,
( spl0_126
| ~ spl0_3
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f925,f909,f557,f1131]) ).
fof(f1131,plain,
( spl0_126
<=> ! [X0] : c_Finite__Set_Olinorder__class_OMax(hAPP(c_fequal(tc_nat),X0),tc_nat) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f557,plain,
( spl0_3
<=> class_Orderings_Olinorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f909,plain,
( spl0_82
<=> ! [X1,X7] :
( c_Finite__Set_Olinorder__class_OMax(hAPP(c_fequal(X1),X7),X1) = X7
| ~ class_Orderings_Olinorder(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f925,plain,
( ! [X0] : c_Finite__Set_Olinorder__class_OMax(hAPP(c_fequal(tc_nat),X0),tc_nat) = X0
| ~ spl0_3
| ~ spl0_82 ),
inference(resolution,[],[f910,f559]) ).
fof(f559,plain,
( class_Orderings_Olinorder(tc_nat)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f910,plain,
( ! [X1,X7] :
( ~ class_Orderings_Olinorder(X1)
| c_Finite__Set_Olinorder__class_OMax(hAPP(c_fequal(X1),X7),X1) = X7 )
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f909]) ).
fof(f1122,plain,
spl0_125,
inference(avatar_split_clause,[],[f459,f1120]) ).
fof(f1120,plain,
( spl0_125
<=> ! [X1,X8] : hBOOL(hAPP(hAPP(c_fequal(X1),X8),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(hAPP(c_fequal(X1),X8),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f459,plain,
! [X1,X8] : hBOOL(hAPP(hAPP(c_fequal(X1),X8),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(hAPP(c_fequal(X1),X8),X1))),
inference(forward_demodulation,[],[f327,f455]) ).
fof(f455,plain,
! [X1,X7] : c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = hAPP(c_fequal(X1),X7),
inference(forward_demodulation,[],[f322,f287]) ).
fof(f287,axiom,
! [X1,X25] : c_Collect(X25,X1) = X25,
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_Collect__def_0) ).
fof(f322,axiom,
! [X1,X7] : c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = c_Collect(hAPP(c_fequal(X1),X7),X1),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_singleton__conv2_0) ).
fof(f327,axiom,
! [X1,X8] : hBOOL(hAPP(c_Set_Oinsert(X8,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(X8,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1))),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_Nitpick_OEx1__def_2) ).
fof(f1118,plain,
spl0_124,
inference(avatar_split_clause,[],[f456,f1116]) ).
fof(f456,plain,
! [X31,X1,X25] : c_Hoare__Mirabelle_Ohoare__derivs(X31,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(X1)),c_Hoare__Mirabelle_Otriple_Otriple(X25,c_Com_Ocom_OSKIP,X25,X1)),X1),
inference(forward_demodulation,[],[f386,f455]) ).
fof(f386,axiom,
! [X31,X1,X25] : c_Hoare__Mirabelle_Ohoare__derivs(X31,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X25,c_Com_Ocom_OSKIP,X25,X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_bool)),tc_Hoare__Mirabelle_Otriple(X1)),X1),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_hoare__derivs_OSkip_0) ).
fof(f1114,plain,
spl0_123,
inference(avatar_split_clause,[],[f455,f1112]) ).
fof(f1112,plain,
( spl0_123
<=> ! [X1,X7] : c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = hAPP(c_fequal(X1),X7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f1110,plain,
spl0_122,
inference(avatar_split_clause,[],[f410,f1108]) ).
fof(f1108,plain,
( spl0_122
<=> ! [X4,X1] : hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f410,axiom,
! [X1,X4] : hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X4)),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_empty__subsetI_0) ).
fof(f1106,plain,
spl0_121,
inference(avatar_split_clause,[],[f407,f1104]) ).
fof(f1104,plain,
( spl0_121
<=> ! [X4,X1,X8] : c_Set_Oinsert(X8,X4,X1) = c_Set_Oinsert(X8,c_Set_Oinsert(X8,X4,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f407,axiom,
! [X1,X8,X4] : c_Set_Oinsert(X8,X4,X1) = c_Set_Oinsert(X8,c_Set_Oinsert(X8,X4,X1),X1),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_insert__absorb2_0) ).
fof(f1102,plain,
spl0_120,
inference(avatar_split_clause,[],[f405,f1100]) ).
fof(f1100,plain,
( spl0_120
<=> ! [X5,X1,X7] : hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X5),c_Set_Oinsert(X7,X5,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f405,axiom,
! [X1,X7,X5] : hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X5),c_Set_Oinsert(X7,X5,X1))),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_subset__insertI_0) ).
fof(f1098,plain,
spl0_119,
inference(avatar_split_clause,[],[f387,f1096]) ).
fof(f1096,plain,
( spl0_119
<=> ! [X31,X50,X1,X52] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X52,X50,X1)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X31,X52,X1)
| c_Hoare__Mirabelle_Ohoare__derivs(X31,X50,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f387,axiom,
! [X50,X31,X1,X52] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X52,X50,X1)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X31,X52,X1)
| c_Hoare__Mirabelle_Ohoare__derivs(X31,X50,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_cut_0) ).
fof(f1094,plain,
( spl0_118
| ~ spl0_3
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f924,f905,f557,f1092]) ).
fof(f1092,plain,
( spl0_118
<=> ! [X0] : c_Finite__Set_Olinorder__class_OMin(hAPP(c_fequal(tc_nat),X0),tc_nat) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f905,plain,
( spl0_81
<=> ! [X1,X7] :
( c_Finite__Set_Olinorder__class_OMin(hAPP(c_fequal(X1),X7),X1) = X7
| ~ class_Orderings_Olinorder(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f924,plain,
( ! [X0] : c_Finite__Set_Olinorder__class_OMin(hAPP(c_fequal(tc_nat),X0),tc_nat) = X0
| ~ spl0_3
| ~ spl0_81 ),
inference(resolution,[],[f906,f559]) ).
fof(f906,plain,
( ! [X1,X7] :
( ~ class_Orderings_Olinorder(X1)
| c_Finite__Set_Olinorder__class_OMin(hAPP(c_fequal(X1),X7),X1) = X7 )
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f905]) ).
fof(f1090,plain,
( spl0_117
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1086,f1083,f1088]) ).
fof(f1088,plain,
( spl0_117
<=> ! [X2,X1,X7] : c_Finite__Set_Ofold1(X2,hAPP(c_fequal(X1),X7),X1) = X7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f1083,plain,
( spl0_116
<=> ! [X2,X1,X7] : c_Finite__Set_Ofold1(X2,c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = X7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f1086,plain,
( ! [X2,X1,X7] : c_Finite__Set_Ofold1(X2,hAPP(c_fequal(X1),X7),X1) = X7
| ~ spl0_116 ),
inference(forward_demodulation,[],[f1084,f455]) ).
fof(f1084,plain,
( ! [X2,X1,X7] : c_Finite__Set_Ofold1(X2,c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = X7
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f1083]) ).
fof(f1085,plain,
spl0_116,
inference(avatar_split_clause,[],[f340,f1083]) ).
fof(f340,axiom,
! [X2,X1,X7] : c_Finite__Set_Ofold1(X2,c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = X7,
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_fold1__singleton_0) ).
fof(f1081,plain,
spl0_115,
inference(avatar_split_clause,[],[f321,f1079]) ).
fof(f1079,plain,
( spl0_115
<=> ! [X1] :
( ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| c_Orderings_Obot__class_Obot(X1) = hAPP(c_Complete__Lattice_OSup__class_OSup(X1),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f321,axiom,
! [X1] :
( ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| c_Orderings_Obot__class_Obot(X1) = hAPP(c_Complete__Lattice_OSup__class_OSup(X1),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_Sup__empty_0) ).
fof(f1077,plain,
spl0_114,
inference(avatar_split_clause,[],[f307,f1075]) ).
fof(f1075,plain,
( spl0_114
<=> ! [X1,X7,X14] :
( ~ class_OrderedGroup_Ogroup__add(X1)
| X7 = X14
| c_HOL_Ouminus__class_Ouminus(X7,X1) != c_HOL_Ouminus__class_Ouminus(X14,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f307,axiom,
! [X1,X7,X14] :
( ~ class_OrderedGroup_Ogroup__add(X1)
| X7 = X14
| c_HOL_Ouminus__class_Ouminus(X7,X1) != c_HOL_Ouminus__class_Ouminus(X14,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_neg__equal__iff__equal_0) ).
fof(f1073,plain,
spl0_113,
inference(avatar_split_clause,[],[f306,f1071]) ).
fof(f1071,plain,
( spl0_113
<=> ! [X13,X1,X8] :
( ~ class_Lattices_Oboolean__algebra(X1)
| X8 = X13
| c_HOL_Ouminus__class_Ouminus(X8,X1) != c_HOL_Ouminus__class_Ouminus(X13,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f306,axiom,
! [X1,X8,X13] :
( ~ class_Lattices_Oboolean__algebra(X1)
| X8 = X13
| c_HOL_Ouminus__class_Ouminus(X8,X1) != c_HOL_Ouminus__class_Ouminus(X13,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_compl__eq__compl__iff_0) ).
fof(f1069,plain,
spl0_112,
inference(avatar_split_clause,[],[f220,f1067]) ).
fof(f1067,plain,
( spl0_112
<=> ! [X13,X1,X8] :
( ~ class_Lattices_Oupper__semilattice(X1)
| hBOOL(hAPP(hAPP(c_lessequals(X1),X8),c_Lattices_Oupper__semilattice__class_Osup(X8,X13,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f220,axiom,
! [X1,X8,X13] :
( ~ class_Lattices_Oupper__semilattice(X1)
| hBOOL(hAPP(hAPP(c_lessequals(X1),X8),c_Lattices_Oupper__semilattice__class_Osup(X8,X13,X1))) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_sup__ge1_0) ).
fof(f1065,plain,
spl0_111,
inference(avatar_split_clause,[],[f219,f1063]) ).
fof(f1063,plain,
( spl0_111
<=> ! [X13,X1,X8] :
( ~ class_Lattices_Oupper__semilattice(X1)
| hBOOL(hAPP(hAPP(c_lessequals(X1),X13),c_Lattices_Oupper__semilattice__class_Osup(X8,X13,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f219,axiom,
! [X1,X8,X13] :
( ~ class_Lattices_Oupper__semilattice(X1)
| hBOOL(hAPP(hAPP(c_lessequals(X1),X13),c_Lattices_Oupper__semilattice__class_Osup(X8,X13,X1))) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_sup__ge2_0) ).
fof(f1061,plain,
spl0_110,
inference(avatar_split_clause,[],[f141,f1059]) ).
fof(f1059,plain,
( spl0_110
<=> ! [X13,X1,X8] :
( ~ class_Lattices_Olattice(X1)
| hBOOL(hAPP(hAPP(c_lessequals(X1),X8),c_Lattices_Oupper__semilattice__class_Osup(X8,X13,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f141,axiom,
! [X1,X8,X13] :
( ~ class_Lattices_Olattice(X1)
| hBOOL(hAPP(hAPP(c_lessequals(X1),X8),c_Lattices_Oupper__semilattice__class_Osup(X8,X13,X1))) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_inf__sup__ord_I3_J_0) ).
fof(f1057,plain,
spl0_109,
inference(avatar_split_clause,[],[f140,f1055]) ).
fof(f1055,plain,
( spl0_109
<=> ! [X13,X1,X8] :
( ~ class_Lattices_Olattice(X1)
| hBOOL(hAPP(hAPP(c_lessequals(X1),X13),c_Lattices_Oupper__semilattice__class_Osup(X8,X13,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f140,axiom,
! [X1,X8,X13] :
( ~ class_Lattices_Olattice(X1)
| hBOOL(hAPP(hAPP(c_lessequals(X1),X13),c_Lattices_Oupper__semilattice__class_Osup(X8,X13,X1))) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_inf__sup__ord_I4_J_0) ).
fof(f1053,plain,
spl0_108,
inference(avatar_split_clause,[],[f70,f1051]) ).
fof(f1051,plain,
( spl0_108
<=> ! [X1,X7] : c_The(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X7),X1) = X7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f70,axiom,
! [X1,X7] : c_The(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X7),X1) = X7,
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_the__eq__trivial_0) ).
fof(f1020,plain,
spl0_107,
inference(avatar_split_clause,[],[f472,f1018]) ).
fof(f1018,plain,
( spl0_107
<=> ! [X1,X7,X14] :
( ~ hBOOL(c_in(X14,hAPP(c_fequal(X1),X7),X1))
| X7 = X14 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f472,plain,
! [X1,X7,X14] :
( ~ hBOOL(c_in(X14,hAPP(c_fequal(X1),X7),X1))
| X7 = X14 ),
inference(forward_demodulation,[],[f339,f455]) ).
fof(f339,axiom,
! [X1,X7,X14] :
( X7 = X14
| ~ hBOOL(c_in(X14,c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_singletonE_0) ).
fof(f1016,plain,
spl0_106,
inference(avatar_split_clause,[],[f471,f1014]) ).
fof(f1014,plain,
( spl0_106
<=> ! [X1,X7] :
( hAPP(c_fequal(X1),X7) = c_SetInterval_Oord__class_OatLeastAtMost(X7,X7,X1)
| ~ class_Orderings_Oorder(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f471,plain,
! [X1,X7] :
( hAPP(c_fequal(X1),X7) = c_SetInterval_Oord__class_OatLeastAtMost(X7,X7,X1)
| ~ class_Orderings_Oorder(X1) ),
inference(forward_demodulation,[],[f343,f455]) ).
fof(f343,axiom,
! [X1,X7] :
( ~ class_Orderings_Oorder(X1)
| c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = c_SetInterval_Oord__class_OatLeastAtMost(X7,X7,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_atLeastAtMost__singleton_0) ).
fof(f1012,plain,
spl0_105,
inference(avatar_split_clause,[],[f469,f1010]) ).
fof(f1010,plain,
( spl0_105
<=> ! [X1,X7] :
( hAPP(c_Complete__Lattice_OSup__class_OSup(X1),hAPP(c_fequal(X1),X7)) = X7
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f469,plain,
! [X1,X7] :
( hAPP(c_Complete__Lattice_OSup__class_OSup(X1),hAPP(c_fequal(X1),X7)) = X7
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
inference(forward_demodulation,[],[f326,f455]) ).
fof(f326,axiom,
! [X1,X7] :
( ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| hAPP(c_Complete__Lattice_OSup__class_OSup(X1),c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)) = X7 ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_Sup__singleton_0) ).
fof(f1008,plain,
spl0_104,
inference(avatar_split_clause,[],[f468,f1006]) ).
fof(f1006,plain,
( spl0_104
<=> ! [X1,X7] :
( hAPP(c_Complete__Lattice_OInf__class_OInf(X1),hAPP(c_fequal(X1),X7)) = X7
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f468,plain,
! [X1,X7] :
( hAPP(c_Complete__Lattice_OInf__class_OInf(X1),hAPP(c_fequal(X1),X7)) = X7
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
inference(forward_demodulation,[],[f346,f455]) ).
fof(f346,axiom,
! [X1,X7] :
( ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| hAPP(c_Complete__Lattice_OInf__class_OInf(X1),c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)) = X7 ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_Inf__singleton_0) ).
fof(f1004,plain,
spl0_103,
inference(avatar_split_clause,[],[f416,f1002]) ).
fof(f1002,plain,
( spl0_103
<=> ! [X13,X4,X1,X8] :
( ~ hBOOL(hAPP(X4,X8))
| hBOOL(hAPP(c_Set_Oinsert(X13,X4,X1),X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f416,axiom,
! [X1,X8,X4,X13] :
( ~ hBOOL(hAPP(X4,X8))
| hBOOL(hAPP(c_Set_Oinsert(X13,X4,X1),X8)) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_insert__code_2) ).
fof(f1000,plain,
( spl0_102
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f996,f993,f998]) ).
fof(f998,plain,
( spl0_102
<=> ! [X1,X8] : c_Set_Ocontents(hAPP(c_fequal(X1),X8),X1) = X8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f993,plain,
( spl0_101
<=> ! [X1,X8] : c_Set_Ocontents(c_Set_Oinsert(X8,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = X8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f996,plain,
( ! [X1,X8] : c_Set_Ocontents(hAPP(c_fequal(X1),X8),X1) = X8
| ~ spl0_101 ),
inference(forward_demodulation,[],[f994,f455]) ).
fof(f994,plain,
( ! [X1,X8] : c_Set_Ocontents(c_Set_Oinsert(X8,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = X8
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f993]) ).
fof(f995,plain,
spl0_101,
inference(avatar_split_clause,[],[f337,f993]) ).
fof(f337,axiom,
! [X1,X8] : c_Set_Ocontents(c_Set_Oinsert(X8,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = X8,
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_contents__eq_0) ).
fof(f990,plain,
spl0_100,
inference(avatar_split_clause,[],[f331,f988]) ).
fof(f988,plain,
( spl0_100
<=> ! [X1,X8] : c_The(c_Set_Oinsert(X8,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = X8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f331,axiom,
! [X1,X8] : c_The(c_Set_Oinsert(X8,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = X8,
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_Nitpick_OThe__psimp_0) ).
fof(f986,plain,
spl0_99,
inference(avatar_split_clause,[],[f320,f984]) ).
fof(f984,plain,
( spl0_99
<=> ! [X0] :
( ~ class_Orderings_Obot(X0)
| hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X0)),v_x) = c_Orderings_Obot__class_Obot(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f320,axiom,
! [X0] :
( ~ class_Orderings_Obot(X0)
| hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X0)),v_x) = c_Orderings_Obot__class_Obot(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_bot__fun__eq_0) ).
fof(f982,plain,
spl0_98,
inference(avatar_split_clause,[],[f281,f980]) ).
fof(f980,plain,
( spl0_98
<=> ! [X4,X1,X2] : c_Finite__Set_Ofold1(X2,X4,X1) = c_The(c_Finite__Set_Ofold1Set(X2,X4,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f281,axiom,
! [X2,X1,X4] : c_Finite__Set_Ofold1(X2,X4,X1) = c_The(c_Finite__Set_Ofold1Set(X2,X4,X1),X1),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_fold1__def_0) ).
fof(f978,plain,
spl0_97,
inference(avatar_split_clause,[],[f251,f976]) ).
fof(f976,plain,
( spl0_97
<=> ! [X13,X1,X8] :
( ~ class_Lattices_Oupper__semilattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X8,X13,X1) = c_Lattices_Oupper__semilattice__class_Osup(X13,X8,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f251,axiom,
! [X1,X8,X13] :
( ~ class_Lattices_Oupper__semilattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X8,X13,X1) = c_Lattices_Oupper__semilattice__class_Osup(X13,X8,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_sup__commute_0) ).
fof(f974,plain,
( spl0_96
| ~ spl0_12
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f851,f806,f602,f972]) ).
fof(f972,plain,
( spl0_96
<=> ! [X0] : c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_bool),tc_bool) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f602,plain,
( spl0_12
<=> class_Lattices_Oboolean__algebra(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f806,plain,
( spl0_59
<=> ! [X1,X8] :
( ~ class_Lattices_Oboolean__algebra(X1)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X8,X1),X1) = X8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f851,plain,
( ! [X0] : c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_bool),tc_bool) = X0
| ~ spl0_12
| ~ spl0_59 ),
inference(resolution,[],[f807,f604]) ).
fof(f604,plain,
( class_Lattices_Oboolean__algebra(tc_bool)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f807,plain,
( ! [X1,X8] :
( ~ class_Lattices_Oboolean__algebra(X1)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X8,X1),X1) = X8 )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f970,plain,
spl0_95,
inference(avatar_split_clause,[],[f250,f968]) ).
fof(f968,plain,
( spl0_95
<=> ! [X13,X1,X8] :
( ~ class_Lattices_Olattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X8,X13,X1) = c_Lattices_Oupper__semilattice__class_Osup(X13,X8,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f250,axiom,
! [X1,X8,X13] :
( ~ class_Lattices_Olattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X8,X13,X1) = c_Lattices_Oupper__semilattice__class_Osup(X13,X8,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_inf__sup__aci_I5_J_0) ).
fof(f966,plain,
spl0_94,
inference(avatar_split_clause,[],[f241,f964]) ).
fof(f964,plain,
( spl0_94
<=> ! [X4,X1] : c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X4,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = X4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f241,axiom,
! [X1,X4] : c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X4,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = X4,
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_double__complement_0) ).
fof(f962,plain,
spl0_93,
inference(avatar_split_clause,[],[f183,f960]) ).
fof(f960,plain,
( spl0_93
<=> ! [X4,X1,X7] :
( ~ hBOOL(c_in(X7,X4,X1))
| c_Set_Oinsert(X7,X4,X1) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f183,axiom,
! [X1,X7,X4] :
( ~ hBOOL(c_in(X7,X4,X1))
| c_Set_Oinsert(X7,X4,X1) = X4 ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_insert__absorb_0) ).
fof(f958,plain,
spl0_92,
inference(avatar_split_clause,[],[f165,f956]) ).
fof(f956,plain,
( spl0_92
<=> ! [X4,X1] : c_HOL_Ominus__class_Ominus(X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = X4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f165,axiom,
! [X1,X4] : c_HOL_Ominus__class_Ominus(X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = X4,
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_Diff__empty_0) ).
fof(f954,plain,
spl0_91,
inference(avatar_split_clause,[],[f164,f952]) ).
fof(f952,plain,
( spl0_91
<=> ! [X4,X1] : c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(X4,X4,tc_fun(X1,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f164,axiom,
! [X1,X4] : c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_HOL_Ominus__class_Ominus(X4,X4,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_Diff__cancel_0) ).
fof(f950,plain,
spl0_90,
inference(avatar_split_clause,[],[f163,f948]) ).
fof(f948,plain,
( spl0_90
<=> ! [X5,X1] : c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X5,tc_fun(X1,tc_bool)) = X5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f163,axiom,
! [X1,X5] : c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X5,tc_fun(X1,tc_bool)) = X5,
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_Un__empty__left_0) ).
fof(f946,plain,
spl0_89,
inference(avatar_split_clause,[],[f162,f944]) ).
fof(f944,plain,
( spl0_89
<=> ! [X4,X1] : c_Lattices_Oupper__semilattice__class_Osup(X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = X4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f162,axiom,
! [X1,X4] : c_Lattices_Oupper__semilattice__class_Osup(X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = X4,
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_Un__empty__right_0) ).
fof(f942,plain,
spl0_88,
inference(avatar_split_clause,[],[f74,f940]) ).
fof(f940,plain,
( spl0_88
<=> ! [X1,X30,X31] :
( c_Finite__Set_Ofinite(X31,X1)
| ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X30,X31,tc_fun(X1,tc_bool)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f74,axiom,
! [X31,X1,X30] :
( c_Finite__Set_Ofinite(X31,X1)
| ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X30,X31,tc_fun(X1,tc_bool)),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_finite__Un_1) ).
fof(f938,plain,
spl0_87,
inference(avatar_split_clause,[],[f73,f936]) ).
fof(f936,plain,
( spl0_87
<=> ! [X1,X30,X31] :
( c_Finite__Set_Ofinite(X30,X1)
| ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X30,X31,tc_fun(X1,tc_bool)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f73,axiom,
! [X31,X1,X30] :
( c_Finite__Set_Ofinite(X30,X1)
| ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X30,X31,tc_fun(X1,tc_bool)),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_finite__Un_0) ).
fof(f934,plain,
spl0_86,
inference(avatar_split_clause,[],[f67,f932]) ).
fof(f932,plain,
( spl0_86
<=> ! [X4,X5,X1] :
( ~ c_Finite__Set_Ofinite(X4,X1)
| c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X1,tc_bool)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f67,axiom,
! [X1,X4,X5] :
( ~ c_Finite__Set_Ofinite(X4,X1)
| c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X1,tc_bool)),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_finite__Diff_0) ).
fof(f930,plain,
( spl0_85
| ~ spl0_11
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f849,f802,f597,f928]) ).
fof(f928,plain,
( spl0_85
<=> ! [X0] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Orderings_Obot__class_Obot(tc_bool),tc_bool) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f597,plain,
( spl0_11
<=> class_Lattices_Obounded__lattice(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f802,plain,
( spl0_58
<=> ! [X1,X8] :
( ~ class_Lattices_Obounded__lattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X8,c_Orderings_Obot__class_Obot(X1),X1) = X8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f849,plain,
( ! [X0] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Orderings_Obot__class_Obot(tc_bool),tc_bool) = X0
| ~ spl0_11
| ~ spl0_58 ),
inference(resolution,[],[f803,f599]) ).
fof(f599,plain,
( class_Lattices_Obounded__lattice(tc_bool)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f803,plain,
( ! [X1,X8] :
( ~ class_Lattices_Obounded__lattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X8,c_Orderings_Obot__class_Obot(X1),X1) = X8 )
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f920,plain,
( spl0_84
| ~ spl0_11
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f847,f798,f597,f918]) ).
fof(f918,plain,
( spl0_84
<=> ! [X0] : c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_bool),X0,tc_bool) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f798,plain,
( spl0_57
<=> ! [X1,X8] :
( ~ class_Lattices_Obounded__lattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X8,X1) = X8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f847,plain,
( ! [X0] : c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_bool),X0,tc_bool) = X0
| ~ spl0_11
| ~ spl0_57 ),
inference(resolution,[],[f799,f599]) ).
fof(f799,plain,
( ! [X1,X8] :
( ~ class_Lattices_Obounded__lattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X8,X1) = X8 )
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f915,plain,
spl0_83,
inference(avatar_split_clause,[],[f475,f913]) ).
fof(f913,plain,
( spl0_83
<=> ! [X25,X1,X8] :
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != X25
| ~ hBOOL(hAPP(X25,X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f475,plain,
! [X1,X8,X25] :
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != X25
| ~ hBOOL(hAPP(X25,X8)) ),
inference(forward_demodulation,[],[f159,f287]) ).
fof(f159,axiom,
! [X1,X8,X25] :
( ~ hBOOL(hAPP(X25,X8))
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Collect(X25,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_Collect__empty__eq_0) ).
fof(f911,plain,
spl0_82,
inference(avatar_split_clause,[],[f467,f909]) ).
fof(f467,plain,
! [X1,X7] :
( c_Finite__Set_Olinorder__class_OMax(hAPP(c_fequal(X1),X7),X1) = X7
| ~ class_Orderings_Olinorder(X1) ),
inference(forward_demodulation,[],[f341,f455]) ).
fof(f341,axiom,
! [X1,X7] :
( ~ class_Orderings_Olinorder(X1)
| c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = X7 ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_Max__singleton_0) ).
fof(f907,plain,
spl0_81,
inference(avatar_split_clause,[],[f466,f905]) ).
fof(f466,plain,
! [X1,X7] :
( c_Finite__Set_Olinorder__class_OMin(hAPP(c_fequal(X1),X7),X1) = X7
| ~ class_Orderings_Olinorder(X1) ),
inference(forward_demodulation,[],[f330,f455]) ).
fof(f330,axiom,
! [X1,X7] :
( ~ class_Orderings_Olinorder(X1)
| c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = X7 ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_Min__singleton_0) ).
fof(f903,plain,
spl0_80,
inference(avatar_split_clause,[],[f454,f901]) ).
fof(f901,plain,
( spl0_80
<=> ! [X61,X1,X62] :
( X61 = X62
| ~ hBOOL(hAPP(hAPP(c_fequal(X1),X61),X62)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f454,axiom,
! [X1,X62,X61] :
( X61 = X62
| ~ hBOOL(hAPP(hAPP(c_fequal(X1),X61),X62)) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_ATP__Linkup_Ofequal__imp__equal_0) ).
fof(f899,plain,
spl0_79,
inference(avatar_split_clause,[],[f409,f897]) ).
fof(f897,plain,
( spl0_79
<=> ! [X1,X8] :
( ~ class_Orderings_Obot(X1)
| hBOOL(hAPP(hAPP(c_lessequals(X1),c_Orderings_Obot__class_Obot(X1)),X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f409,axiom,
! [X1,X8] :
( ~ class_Orderings_Obot(X1)
| hBOOL(hAPP(hAPP(c_lessequals(X1),c_Orderings_Obot__class_Obot(X1)),X8)) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_bot__least_0) ).
fof(f895,plain,
spl0_78,
inference(avatar_split_clause,[],[f289,f893]) ).
fof(f893,plain,
( spl0_78
<=> ! [X38,X44,X43,X39] :
( X38 = X43
| c_Com_Ocom_OSemi(X38,X39) != c_Com_Ocom_OSemi(X43,X44) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f289,axiom,
! [X38,X39,X44,X43] :
( X38 = X43
| c_Com_Ocom_OSemi(X38,X39) != c_Com_Ocom_OSemi(X43,X44) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_com_Osimps_I3_J_0) ).
fof(f891,plain,
spl0_77,
inference(avatar_split_clause,[],[f288,f889]) ).
fof(f889,plain,
( spl0_77
<=> ! [X38,X44,X39,X43] :
( X39 = X44
| c_Com_Ocom_OSemi(X38,X39) != c_Com_Ocom_OSemi(X43,X44) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f288,axiom,
! [X38,X39,X44,X43] :
( X39 = X44
| c_Com_Ocom_OSemi(X38,X39) != c_Com_Ocom_OSemi(X43,X44) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_com_Osimps_I3_J_1) ).
fof(f887,plain,
spl0_76,
inference(avatar_split_clause,[],[f160,f885]) ).
fof(f885,plain,
( spl0_76
<=> ! [X2,X1,X8] : ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f160,axiom,
! [X2,X1,X8] : ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X8)),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_empty__fold1SetE_0) ).
fof(f883,plain,
spl0_75,
inference(avatar_split_clause,[],[f119,f881]) ).
fof(f881,plain,
( spl0_75
<=> ! [X1] :
( ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| c_Complete__Lattice_Ocomplete__lattice__axioms(c_Complete__Lattice_OInf__class_OInf(X1),c_Complete__Lattice_OSup__class_OSup(X1),c_lessequals(X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f119,axiom,
! [X1] :
( ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| c_Complete__Lattice_Ocomplete__lattice__axioms(c_Complete__Lattice_OInf__class_OInf(X1),c_Complete__Lattice_OSup__class_OSup(X1),c_lessequals(X1),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_complete__lattice__class_Oaxioms_0) ).
fof(f879,plain,
spl0_74,
inference(avatar_split_clause,[],[f95,f877]) ).
fof(f877,plain,
( spl0_74
<=> ! [X1,X7,X14] :
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X7,X14,X1)
| ~ c_HOL_Oord__class_Oless(X14,X7,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f95,axiom,
! [X1,X7,X14] :
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X7,X14,X1)
| ~ c_HOL_Oord__class_Oless(X14,X7,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_order__less__asym_H_0) ).
fof(f875,plain,
spl0_73,
inference(avatar_split_clause,[],[f93,f873]) ).
fof(f873,plain,
( spl0_73
<=> ! [X13,X1,X8] :
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X13,X8,X1)
| ~ c_HOL_Oord__class_Oless(X8,X13,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f93,axiom,
! [X1,X8,X13] :
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X13,X8,X1)
| ~ c_HOL_Oord__class_Oless(X8,X13,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_not__less__iff__gr__or__eq_1) ).
fof(f871,plain,
spl0_72,
inference(avatar_split_clause,[],[f92,f869]) ).
fof(f869,plain,
( spl0_72
<=> ! [X1,X7,X14] :
( ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X14,X7,X1)
| ~ c_HOL_Oord__class_Oless(X7,X14,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f92,axiom,
! [X1,X7,X14] :
( ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X14,X7,X1)
| ~ c_HOL_Oord__class_Oless(X7,X14,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_xt1_I9_J_0) ).
fof(f867,plain,
spl0_71,
inference(avatar_split_clause,[],[f64,f865]) ).
fof(f865,plain,
( spl0_71
<=> ! [X2,X4,X0,X8,X12,X1] :
( c_Finite__Set_Ofinite(X4,X1)
| ~ c_Finite__Set_Ofold__graph(X2,X12,X4,X8,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f64,axiom,
! [X2,X0,X1,X8,X4,X12] :
( c_Finite__Set_Ofinite(X4,X1)
| ~ c_Finite__Set_Ofold__graph(X2,X12,X4,X8,X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_fold__graph__imp__finite_0) ).
fof(f863,plain,
spl0_70,
inference(avatar_split_clause,[],[f22,f861]) ).
fof(f861,plain,
( spl0_70
<=> ! [X12,X0,X1,X2] : c_Finite__Set_Ofold__graph(X2,X12,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X12,X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f22,axiom,
! [X2,X0,X1,X12] : c_Finite__Set_Ofold__graph(X2,X12,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X12,X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_fold__graph_OemptyI_0) ).
fof(f859,plain,
spl0_69,
inference(avatar_split_clause,[],[f21,f857]) ).
fof(f857,plain,
( spl0_69
<=> ! [X12,X0,X1,X2] : c_Nitpick_Ofold__graph_H(X2,X12,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X12,X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f21,axiom,
! [X2,X0,X1,X12] : c_Nitpick_Ofold__graph_H(X2,X12,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X12,X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_fold__graph_H_Ointros_I1_J_0) ).
fof(f846,plain,
( spl0_68
| ~ spl0_10
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f783,f763,f592,f844]) ).
fof(f844,plain,
( spl0_68
<=> ! [X1] : c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_bool) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f592,plain,
( spl0_10
<=> class_Lattices_Oupper__semilattice(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f763,plain,
( spl0_49
<=> ! [X1,X8] :
( ~ class_Lattices_Oupper__semilattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X8,X8,X1) = X8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f783,plain,
( ! [X1] : c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_bool) = X1
| ~ spl0_10
| ~ spl0_49 ),
inference(resolution,[],[f764,f594]) ).
fof(f594,plain,
( class_Lattices_Oupper__semilattice(tc_bool)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f764,plain,
( ! [X1,X8] :
( ~ class_Lattices_Oupper__semilattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X8,X8,X1) = X8 )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f763]) ).
fof(f840,plain,
spl0_67,
inference(avatar_split_clause,[],[f408,f838]) ).
fof(f838,plain,
( spl0_67
<=> ! [X4,X1,X7] : c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oinsert(X7,X4,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f408,axiom,
! [X1,X7,X4] : c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oinsert(X7,X4,X1),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_insert__not__empty_0) ).
fof(f836,plain,
spl0_66,
inference(avatar_split_clause,[],[f382,f834]) ).
fof(f834,plain,
( spl0_66
<=> ! [X1,X8] : hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X8),X8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f382,axiom,
! [X1,X8] : hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X1,tc_bool)),X8),X8)),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_equalityE_0) ).
fof(f832,plain,
spl0_65,
inference(avatar_split_clause,[],[f378,f830]) ).
fof(f830,plain,
( spl0_65
<=> ! [X1,X8] :
( ~ class_Orderings_Oorder(X1)
| hBOOL(hAPP(hAPP(c_lessequals(X1),X8),X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f378,axiom,
! [X1,X8] :
( ~ class_Orderings_Oorder(X1)
| hBOOL(hAPP(hAPP(c_lessequals(X1),X8),X8)) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_order__eq__iff_0) ).
fof(f828,plain,
spl0_64,
inference(avatar_split_clause,[],[f377,f826]) ).
fof(f826,plain,
( spl0_64
<=> ! [X1,X8] :
( ~ class_Orderings_Opreorder(X1)
| hBOOL(hAPP(hAPP(c_lessequals(X1),X8),X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f377,axiom,
! [X1,X8] :
( ~ class_Orderings_Opreorder(X1)
| hBOOL(hAPP(hAPP(c_lessequals(X1),X8),X8)) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_order__eq__refl_0) ).
fof(f824,plain,
spl0_63,
inference(avatar_split_clause,[],[f276,f822]) ).
fof(f822,plain,
( spl0_63
<=> ! [X41,X1,X8] :
( ~ hBOOL(hAPP(X41,X8))
| hBOOL(c_in(X8,X41,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f276,axiom,
! [X41,X1,X8] :
( ~ hBOOL(hAPP(X41,X8))
| hBOOL(c_in(X8,X41,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_mem__def_1) ).
fof(f820,plain,
spl0_62,
inference(avatar_split_clause,[],[f275,f818]) ).
fof(f818,plain,
( spl0_62
<=> ! [X41,X1,X8] :
( hBOOL(hAPP(X41,X8))
| ~ hBOOL(c_in(X8,X41,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f275,axiom,
! [X41,X1,X8] :
( hBOOL(hAPP(X41,X8))
| ~ hBOOL(c_in(X8,X41,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_mem__def_0) ).
fof(f816,plain,
spl0_61,
inference(avatar_split_clause,[],[f240,f814]) ).
fof(f814,plain,
( spl0_61
<=> ! [X1,X7] :
( ~ class_OrderedGroup_Ogroup__add(X1)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X7,X1),X1) = X7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f240,axiom,
! [X1,X7] :
( ~ class_OrderedGroup_Ogroup__add(X1)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X7,X1),X1) = X7 ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_minus__minus_0) ).
fof(f812,plain,
( spl0_60
| ~ spl0_1
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f782,f763,f547,f810]) ).
fof(f810,plain,
( spl0_60
<=> ! [X0] : c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_nat) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f547,plain,
( spl0_1
<=> class_Lattices_Oupper__semilattice(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f782,plain,
( ! [X0] : c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_nat) = X0
| ~ spl0_1
| ~ spl0_49 ),
inference(resolution,[],[f764,f549]) ).
fof(f549,plain,
( class_Lattices_Oupper__semilattice(tc_nat)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f808,plain,
spl0_59,
inference(avatar_split_clause,[],[f239,f806]) ).
fof(f239,axiom,
! [X1,X8] :
( ~ class_Lattices_Oboolean__algebra(X1)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X8,X1),X1) = X8 ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_double__compl_0) ).
fof(f804,plain,
spl0_58,
inference(avatar_split_clause,[],[f148,f802]) ).
fof(f148,axiom,
! [X1,X8] :
( ~ class_Lattices_Obounded__lattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X8,c_Orderings_Obot__class_Obot(X1),X1) = X8 ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_sup__bot__right_0) ).
fof(f800,plain,
spl0_57,
inference(avatar_split_clause,[],[f147,f798]) ).
fof(f147,axiom,
! [X1,X8] :
( ~ class_Lattices_Obounded__lattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X8,X1) = X8 ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_sup__bot__left_0) ).
fof(f796,plain,
spl0_56,
inference(avatar_split_clause,[],[f25,f794]) ).
fof(f794,plain,
( spl0_56
<=> ! [X4,X1] : ~ c_HOL_Oord__class_Oless(X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f25,axiom,
! [X1,X4] : ~ c_HOL_Oord__class_Oless(X4,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_not__psubset__empty_0) ).
fof(f792,plain,
spl0_55,
inference(avatar_split_clause,[],[f20,f790]) ).
fof(f790,plain,
( spl0_55
<=> ! [X4,X1,X7] :
( ~ c_Finite__Set_Ofinite(X4,X1)
| c_Finite__Set_Ofinite(c_Set_Oinsert(X7,X4,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f20,axiom,
! [X1,X7,X4] :
( ~ c_Finite__Set_Ofinite(X4,X1)
| c_Finite__Set_Ofinite(c_Set_Oinsert(X7,X4,X1),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_finite__insert_1) ).
fof(f788,plain,
spl0_54,
inference(avatar_split_clause,[],[f19,f786]) ).
fof(f786,plain,
( spl0_54
<=> ! [X4,X1,X7] :
( c_Finite__Set_Ofinite(X4,X1)
| ~ c_Finite__Set_Ofinite(c_Set_Oinsert(X7,X4,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f19,axiom,
! [X1,X7,X4] :
( c_Finite__Set_Ofinite(X4,X1)
| ~ c_Finite__Set_Ofinite(c_Set_Oinsert(X7,X4,X1),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_finite__insert_0) ).
fof(f781,plain,
spl0_53,
inference(avatar_split_clause,[],[f425,f779]) ).
fof(f779,plain,
( spl0_53
<=> ! [X60,X59] :
( ~ class_Finite__Set_Ofinite_Ofinite(X59)
| ~ class_Finite__Set_Ofinite_Ofinite(X60)
| class_Finite__Set_Ofinite_Ofinite(tc_fun(X59,X60)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f425,axiom,
! [X59,X60] :
( ~ class_Finite__Set_Ofinite_Ofinite(X59)
| ~ class_Finite__Set_Ofinite_Ofinite(X60)
| class_Finite__Set_Ofinite_Ofinite(tc_fun(X59,X60)) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',clsarity_fun__Finite__Set_Ofinite_Ofinite) ).
fof(f777,plain,
spl0_52,
inference(avatar_split_clause,[],[f404,f775]) ).
fof(f775,plain,
( spl0_52
<=> ! [X1,X31] : c_Hoare__Mirabelle_Ohoare__derivs(X31,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_bool)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f404,axiom,
! [X31,X1] : c_Hoare__Mirabelle_Ohoare__derivs(X31,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_bool)),X1),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_empty_0) ).
fof(f773,plain,
spl0_51,
inference(avatar_split_clause,[],[f317,f771]) ).
fof(f771,plain,
( spl0_51
<=> ! [X1,X8] : c_The(hAPP(c_fequal(X1),X8),X1) = X8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f317,axiom,
! [X1,X8] : c_The(hAPP(c_fequal(X1),X8),X1) = X8,
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_the__sym__eq__trivial_0) ).
fof(f769,plain,
spl0_50,
inference(avatar_split_clause,[],[f279,f767]) ).
fof(f767,plain,
( spl0_50
<=> ! [X4,X1] : c_Lattices_Oupper__semilattice__class_Osup(X4,X4,tc_fun(X1,tc_bool)) = X4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f279,axiom,
! [X1,X4] : c_Lattices_Oupper__semilattice__class_Osup(X4,X4,tc_fun(X1,tc_bool)) = X4,
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_Un__absorb_0) ).
fof(f765,plain,
spl0_49,
inference(avatar_split_clause,[],[f278,f763]) ).
fof(f278,axiom,
! [X1,X8] :
( ~ class_Lattices_Oupper__semilattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X8,X8,X1) = X8 ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_sup__idem_0) ).
fof(f761,plain,
spl0_48,
inference(avatar_split_clause,[],[f180,f759]) ).
fof(f759,plain,
( spl0_48
<=> ! [X5,X1,X7] : hBOOL(c_in(X7,c_Set_Oinsert(X7,X5,X1),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f180,axiom,
! [X1,X7,X5] : hBOOL(c_in(X7,c_Set_Oinsert(X7,X5,X1),X1)),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_insertI1_0) ).
fof(f757,plain,
spl0_47,
inference(avatar_split_clause,[],[f155,f755]) ).
fof(f755,plain,
( spl0_47
<=> ! [X1,X8] : ~ hBOOL(c_in(X8,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f155,axiom,
! [X1,X8] : ~ hBOOL(c_in(X8,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1)),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_ex__in__conv_0) ).
fof(f753,plain,
spl0_46,
inference(avatar_split_clause,[],[f58,f751]) ).
fof(f751,plain,
( spl0_46
<=> ! [X26,X0,X25,X1] : hAPP(c_COMBK(X25,X1,X0),X26) = X25 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f58,axiom,
! [X0,X1,X26,X25] : hAPP(c_COMBK(X25,X1,X0),X26) = X25,
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_COMBK__def_0) ).
fof(f749,plain,
spl0_45,
inference(avatar_split_clause,[],[f453,f747]) ).
fof(f747,plain,
( spl0_45
<=> ! [X1,X8] : hBOOL(hAPP(hAPP(c_fequal(X1),X8),X8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f453,axiom,
! [X1,X8] : hBOOL(hAPP(hAPP(c_fequal(X1),X8),X8)),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_ATP__Linkup_Oequal__imp__fequal_0) ).
fof(f745,plain,
spl0_44,
inference(avatar_split_clause,[],[f403,f743]) ).
fof(f743,plain,
( spl0_44
<=> ! [X1,X8] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f403,axiom,
! [X1,X8] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X8)),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_bot1E_0) ).
fof(f741,plain,
spl0_43,
inference(avatar_split_clause,[],[f385,f739]) ).
fof(f739,plain,
( spl0_43
<=> ! [X4,X1,X8] : hBOOL(hAPP(c_Set_Oinsert(X8,X4,X1),X8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f385,axiom,
! [X1,X8,X4] : hBOOL(hAPP(c_Set_Oinsert(X8,X4,X1),X8)),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_insert__code_1) ).
fof(f737,plain,
spl0_42,
inference(avatar_split_clause,[],[f432,f735]) ).
fof(f735,plain,
( spl0_42
<=> ! [X60,X59] :
( ~ class_HOL_Oord(X60)
| class_HOL_Oord(tc_fun(X59,X60)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f432,axiom,
! [X59,X60] :
( ~ class_HOL_Oord(X60)
| class_HOL_Oord(tc_fun(X59,X60)) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',clsarity_fun__HOL_Oord) ).
fof(f733,plain,
spl0_41,
inference(avatar_split_clause,[],[f431,f731]) ).
fof(f731,plain,
( spl0_41
<=> ! [X60,X59] :
( ~ class_HOL_Ominus(X60)
| class_HOL_Ominus(tc_fun(X59,X60)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f431,axiom,
! [X59,X60] :
( ~ class_HOL_Ominus(X60)
| class_HOL_Ominus(tc_fun(X59,X60)) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',clsarity_fun__HOL_Ominus) ).
fof(f729,plain,
spl0_40,
inference(avatar_split_clause,[],[f430,f727]) ).
fof(f727,plain,
( spl0_40
<=> ! [X60,X59] :
( ~ class_HOL_Ouminus(X60)
| class_HOL_Ouminus(tc_fun(X59,X60)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f430,axiom,
! [X59,X60] :
( ~ class_HOL_Ouminus(X60)
| class_HOL_Ouminus(tc_fun(X59,X60)) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',clsarity_fun__HOL_Ouminus) ).
fof(f725,plain,
spl0_39,
inference(avatar_split_clause,[],[f429,f723]) ).
fof(f723,plain,
( spl0_39
<=> ! [X60,X59] :
( ~ class_Orderings_Obot(X60)
| class_Orderings_Obot(tc_fun(X59,X60)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f429,axiom,
! [X59,X60] :
( ~ class_Orderings_Obot(X60)
| class_Orderings_Obot(tc_fun(X59,X60)) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',clsarity_fun__Orderings_Obot) ).
fof(f721,plain,
spl0_38,
inference(avatar_split_clause,[],[f428,f719]) ).
fof(f719,plain,
( spl0_38
<=> ! [X60,X59] :
( ~ class_Orderings_Oorder(X60)
| class_Orderings_Oorder(tc_fun(X59,X60)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f428,axiom,
! [X59,X60] :
( ~ class_Orderings_Oorder(X60)
| class_Orderings_Oorder(tc_fun(X59,X60)) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',clsarity_fun__Orderings_Oorder) ).
fof(f717,plain,
spl0_37,
inference(avatar_split_clause,[],[f427,f715]) ).
fof(f715,plain,
( spl0_37
<=> ! [X60,X59] :
( ~ class_Lattices_Olattice(X60)
| class_Lattices_Olattice(tc_fun(X59,X60)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f427,axiom,
! [X59,X60] :
( ~ class_Lattices_Olattice(X60)
| class_Lattices_Olattice(tc_fun(X59,X60)) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',clsarity_fun__Lattices_Olattice) ).
fof(f713,plain,
spl0_36,
inference(avatar_split_clause,[],[f426,f711]) ).
fof(f711,plain,
( spl0_36
<=> ! [X60,X59] :
( ~ class_Orderings_Opreorder(X60)
| class_Orderings_Opreorder(tc_fun(X59,X60)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f426,axiom,
! [X59,X60] :
( ~ class_Orderings_Opreorder(X60)
| class_Orderings_Opreorder(tc_fun(X59,X60)) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',clsarity_fun__Orderings_Opreorder) ).
fof(f709,plain,
spl0_35,
inference(avatar_split_clause,[],[f424,f707]) ).
fof(f707,plain,
( spl0_35
<=> ! [X60,X59] :
( ~ class_Lattices_Oboolean__algebra(X60)
| class_Lattices_Oboolean__algebra(tc_fun(X59,X60)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f424,axiom,
! [X59,X60] :
( ~ class_Lattices_Oboolean__algebra(X60)
| class_Lattices_Oboolean__algebra(tc_fun(X59,X60)) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',clsarity_fun__Lattices_Oboolean__algebra) ).
fof(f705,plain,
spl0_34,
inference(avatar_split_clause,[],[f423,f703]) ).
fof(f703,plain,
( spl0_34
<=> ! [X60,X59] :
( ~ class_Lattices_Obounded__lattice(X60)
| class_Lattices_Obounded__lattice(tc_fun(X59,X60)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f423,axiom,
! [X59,X60] :
( ~ class_Lattices_Obounded__lattice(X60)
| class_Lattices_Obounded__lattice(tc_fun(X59,X60)) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',clsarity_fun__Lattices_Obounded__lattice) ).
fof(f701,plain,
spl0_33,
inference(avatar_split_clause,[],[f422,f699]) ).
fof(f699,plain,
( spl0_33
<=> ! [X60,X59] :
( ~ class_Lattices_Olattice(X60)
| class_Lattices_Oupper__semilattice(tc_fun(X59,X60)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f422,axiom,
! [X59,X60] :
( ~ class_Lattices_Olattice(X60)
| class_Lattices_Oupper__semilattice(tc_fun(X59,X60)) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',clsarity_fun__Lattices_Oupper__semilattice) ).
fof(f697,plain,
spl0_32,
inference(avatar_split_clause,[],[f421,f695]) ).
fof(f695,plain,
( spl0_32
<=> ! [X60,X59] :
( ~ class_Complete__Lattice_Ocomplete__lattice(X60)
| class_Complete__Lattice_Ocomplete__lattice(tc_fun(X59,X60)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f421,axiom,
! [X59,X60] :
( ~ class_Complete__Lattice_Ocomplete__lattice(X60)
| class_Complete__Lattice_Ocomplete__lattice(tc_fun(X59,X60)) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',clsarity_fun__Complete__Lattice_Ocomplete__lattice) ).
fof(f693,plain,
spl0_31,
inference(avatar_split_clause,[],[f80,f691]) ).
fof(f691,plain,
( spl0_31
<=> ! [X1,X8] :
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X8,X8,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f80,axiom,
! [X1,X8] :
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X8,X8,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_order__less__irrefl_0) ).
fof(f689,plain,
spl0_30,
inference(avatar_split_clause,[],[f79,f687]) ).
fof(f687,plain,
( spl0_30
<=> ! [X1,X8] :
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X8,X8,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f79,axiom,
! [X1,X8] :
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X8,X8,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_linorder__neq__iff_1) ).
fof(f685,plain,
spl0_29,
inference(avatar_split_clause,[],[f78,f683]) ).
fof(f683,plain,
( spl0_29
<=> ! [X1,X8] :
( ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X8,X8,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f78,axiom,
! [X1,X8] :
( ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X8,X8,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_order__less__le_1) ).
fof(f681,plain,
spl0_28,
inference(avatar_split_clause,[],[f77,f679]) ).
fof(f679,plain,
( spl0_28
<=> ! [X1,X8] : ~ c_HOL_Oord__class_Oless(X8,X8,tc_fun(X1,tc_bool)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f77,axiom,
! [X1,X8] : ~ c_HOL_Oord__class_Oless(X8,X8,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_psubset__eq_1) ).
fof(f677,plain,
spl0_27,
inference(avatar_split_clause,[],[f24,f675]) ).
fof(f675,plain,
( spl0_27
<=> ! [X1] : c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f24,axiom,
! [X1] : c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_finite_OemptyI_0) ).
fof(f673,plain,
spl0_26,
inference(avatar_split_clause,[],[f287,f671]) ).
fof(f671,plain,
( spl0_26
<=> ! [X25,X1] : c_Collect(X25,X1) = X25 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f669,plain,
spl0_25,
inference(avatar_split_clause,[],[f205,f667]) ).
fof(f667,plain,
( spl0_25
<=> ! [X38,X39] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(X38,X39) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f205,axiom,
! [X38,X39] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(X38,X39),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_com_Osimps_I13_J_0) ).
fof(f665,plain,
spl0_24,
inference(avatar_split_clause,[],[f55,f663]) ).
fof(f663,plain,
( spl0_24
<=> ! [X4,X1] :
( ~ class_Finite__Set_Ofinite_Ofinite(X1)
| c_Finite__Set_Ofinite(X4,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f55,axiom,
! [X1,X4] :
( ~ class_Finite__Set_Ofinite_Ofinite(X1)
| c_Finite__Set_Ofinite(X4,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_finite_0) ).
fof(f661,plain,
( ~ spl0_23
| spl0_22 ),
inference(avatar_split_clause,[],[f656,f652,f658]) ).
fof(f652,plain,
( spl0_22
<=> c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f656,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a)),t_a)
| spl0_22 ),
inference(forward_demodulation,[],[f654,f455]) ).
fof(f654,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| spl0_22 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f655,plain,
~ spl0_22,
inference(avatar_split_clause,[],[f420,f652]) ).
fof(f420,axiom,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_conjecture_1) ).
fof(f650,plain,
spl0_21,
inference(avatar_split_clause,[],[f419,f647]) ).
fof(f647,plain,
( spl0_21
<=> hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),v_G),v_Ga)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f419,axiom,
hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),v_G),v_Ga)),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',cls_conjecture_0) ).
fof(f645,plain,
spl0_20,
inference(avatar_split_clause,[],[f452,f642]) ).
fof(f642,plain,
( spl0_20
<=> class_HOL_Oord(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f452,axiom,
class_HOL_Oord(tc_bool),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',clsarity_bool__HOL_Oord) ).
fof(f640,plain,
spl0_19,
inference(avatar_split_clause,[],[f451,f637]) ).
fof(f637,plain,
( spl0_19
<=> class_HOL_Ominus(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f451,axiom,
class_HOL_Ominus(tc_bool),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',clsarity_bool__HOL_Ominus) ).
fof(f635,plain,
spl0_18,
inference(avatar_split_clause,[],[f450,f632]) ).
fof(f632,plain,
( spl0_18
<=> class_HOL_Ouminus(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f450,axiom,
class_HOL_Ouminus(tc_bool),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',clsarity_bool__HOL_Ouminus) ).
fof(f630,plain,
spl0_17,
inference(avatar_split_clause,[],[f449,f627]) ).
fof(f627,plain,
( spl0_17
<=> class_Orderings_Obot(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f449,axiom,
class_Orderings_Obot(tc_bool),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',clsarity_bool__Orderings_Obot) ).
fof(f625,plain,
spl0_16,
inference(avatar_split_clause,[],[f448,f622]) ).
fof(f622,plain,
( spl0_16
<=> class_Orderings_Oorder(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f448,axiom,
class_Orderings_Oorder(tc_bool),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',clsarity_bool__Orderings_Oorder) ).
fof(f620,plain,
spl0_15,
inference(avatar_split_clause,[],[f447,f617]) ).
fof(f617,plain,
( spl0_15
<=> class_Lattices_Olattice(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f447,axiom,
class_Lattices_Olattice(tc_bool),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',clsarity_bool__Lattices_Olattice) ).
fof(f615,plain,
spl0_14,
inference(avatar_split_clause,[],[f446,f612]) ).
fof(f612,plain,
( spl0_14
<=> class_Orderings_Opreorder(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f446,axiom,
class_Orderings_Opreorder(tc_bool),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',clsarity_bool__Orderings_Opreorder) ).
fof(f610,plain,
spl0_13,
inference(avatar_split_clause,[],[f445,f607]) ).
fof(f607,plain,
( spl0_13
<=> class_Finite__Set_Ofinite_Ofinite(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f445,axiom,
class_Finite__Set_Ofinite_Ofinite(tc_bool),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',clsarity_bool__Finite__Set_Ofinite_Ofinite) ).
fof(f605,plain,
spl0_12,
inference(avatar_split_clause,[],[f444,f602]) ).
fof(f444,axiom,
class_Lattices_Oboolean__algebra(tc_bool),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',clsarity_bool__Lattices_Oboolean__algebra) ).
fof(f600,plain,
spl0_11,
inference(avatar_split_clause,[],[f443,f597]) ).
fof(f443,axiom,
class_Lattices_Obounded__lattice(tc_bool),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',clsarity_bool__Lattices_Obounded__lattice) ).
fof(f595,plain,
spl0_10,
inference(avatar_split_clause,[],[f442,f592]) ).
fof(f442,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',clsarity_bool__Lattices_Oupper__semilattice) ).
fof(f590,plain,
spl0_9,
inference(avatar_split_clause,[],[f441,f587]) ).
fof(f587,plain,
( spl0_9
<=> class_Complete__Lattice_Ocomplete__lattice(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f441,axiom,
class_Complete__Lattice_Ocomplete__lattice(tc_bool),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',clsarity_bool__Complete__Lattice_Ocomplete__lattice) ).
fof(f585,plain,
spl0_8,
inference(avatar_split_clause,[],[f440,f582]) ).
fof(f582,plain,
( spl0_8
<=> class_HOL_Oord(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f440,axiom,
class_HOL_Oord(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',clsarity_nat__HOL_Oord) ).
fof(f580,plain,
spl0_7,
inference(avatar_split_clause,[],[f439,f577]) ).
fof(f577,plain,
( spl0_7
<=> class_HOL_Ominus(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f439,axiom,
class_HOL_Ominus(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',clsarity_nat__HOL_Ominus) ).
fof(f575,plain,
spl0_6,
inference(avatar_split_clause,[],[f438,f572]) ).
fof(f572,plain,
( spl0_6
<=> class_Orderings_Obot(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f438,axiom,
class_Orderings_Obot(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',clsarity_nat__Orderings_Obot) ).
fof(f570,plain,
spl0_5,
inference(avatar_split_clause,[],[f437,f567]) ).
fof(f567,plain,
( spl0_5
<=> class_Orderings_Oorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f437,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',clsarity_nat__Orderings_Oorder) ).
fof(f565,plain,
spl0_4,
inference(avatar_split_clause,[],[f436,f562]) ).
fof(f562,plain,
( spl0_4
<=> class_Lattices_Olattice(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f436,axiom,
class_Lattices_Olattice(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',clsarity_nat__Lattices_Olattice) ).
fof(f560,plain,
spl0_3,
inference(avatar_split_clause,[],[f435,f557]) ).
fof(f435,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',clsarity_nat__Orderings_Olinorder) ).
fof(f555,plain,
spl0_2,
inference(avatar_split_clause,[],[f434,f552]) ).
fof(f552,plain,
( spl0_2
<=> class_Orderings_Opreorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f434,axiom,
class_Orderings_Opreorder(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',clsarity_nat__Orderings_Opreorder) ).
fof(f550,plain,
spl0_1,
inference(avatar_split_clause,[],[f433,f547]) ).
fof(f433,axiom,
class_Lattices_Oupper__semilattice(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.kRbGjtdIXZ/Vampire---4.8_21436',clsarity_nat__Lattices_Oupper__semilattice) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.17 % Problem : SWV839-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.18 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.18/0.40 % Computer : n015.cluster.edu
% 0.18/0.40 % Model : x86_64 x86_64
% 0.18/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.40 % Memory : 8042.1875MB
% 0.18/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.40 % CPULimit : 300
% 0.18/0.40 % WCLimit : 300
% 0.18/0.40 % DateTime : Wed Aug 30 17:50:42 EDT 2023
% 0.18/0.40 % CPUTime :
% 0.18/0.45 % (21645)Running in auto input_syntax mode. Trying TPTP
% 0.26/0.48 % (21646)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.26/0.48 % (21647)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.26/0.48 % (21648)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 Vampire---4 for (569ds/0Mi)
% 0.26/0.48 % (21649)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.26/0.48 % (21650)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 Vampire---4 for (531ds/0Mi)
% 0.26/0.48 % (21651)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 Vampire---4 for (522ds/0Mi)
% 0.26/0.48 % (21652)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 Vampire---4 for (497ds/0Mi)
% 0.26/0.51 % (21650)First to succeed.
% 0.26/0.52 % (21651)Also succeeded, but the first one will report.
% 0.26/0.52 % (21650)Refutation found. Thanks to Tanya!
% 0.26/0.52 % SZS status Unsatisfiable for Vampire---4
% 0.26/0.52 % SZS output start Proof for Vampire---4
% See solution above
% 0.26/0.52 % (21650)------------------------------
% 0.26/0.52 % (21650)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.26/0.52 % (21650)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.26/0.52 % (21650)Termination reason: Refutation
% 0.26/0.52
% 0.26/0.52 % (21650)Memory used [KB]: 6652
% 0.26/0.52 % (21650)Time elapsed: 0.036 s
% 0.26/0.52 % (21650)------------------------------
% 0.26/0.52 % (21650)------------------------------
% 0.26/0.52 % (21645)Success in time 0.12 s
% 0.26/0.52 % Vampire---4.8 exiting
%------------------------------------------------------------------------------