TSTP Solution File: SEV425_1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEV425_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:35:22 EDT 2022
% Result : Theorem 9.50s 1.64s
% Output : Refutation 9.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 212
% Syntax : Number of formulae : 853 ( 52 unt; 30 typ; 0 def)
% Number of atoms : 2188 ( 418 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 2365 (1000 ~;1094 |; 85 &)
% ( 177 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number arithmetic : 142 ( 0 atm; 73 fun; 69 num; 0 var)
% Number of types : 4 ( 2 usr; 1 ari)
% Number of type conns : 14 ( 9 >; 5 *; 0 +; 0 <<)
% Number of predicates : 161 ( 159 usr; 158 prp; 0-2 aty)
% Number of functors : 30 ( 26 usr; 22 con; 0-2 aty)
% Number of variables : 294 ( 263 !; 31 ?; 294 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
set: $tType ).
tff(type_def_6,type,
element: $tType ).
tff(func_def_0,type,
empty_set: set ).
tff(func_def_1,type,
singleton: element > set ).
tff(func_def_2,type,
intersection: ( set * set ) > set ).
tff(func_def_3,type,
union: ( set * set ) > set ).
tff(func_def_4,type,
difference: ( set * set ) > set ).
tff(func_def_5,type,
complement: set > set ).
tff(func_def_6,type,
cardinality: set > $int ).
tff(func_def_12,type,
sK0: set > element ).
tff(func_def_13,type,
sK1: set ).
tff(func_def_14,type,
sK2: element ).
tff(func_def_15,type,
sK3: set ).
tff(func_def_16,type,
sK4: element ).
tff(func_def_17,type,
sK5: set ).
tff(func_def_18,type,
sK6: set ).
tff(func_def_19,type,
sK7: element ).
tff(func_def_20,type,
sF8: set ).
tff(func_def_21,type,
sF9: set ).
tff(func_def_22,type,
sF10: set ).
tff(func_def_23,type,
sF11: set ).
tff(func_def_24,type,
sF12: set ).
tff(func_def_25,type,
sF13: set ).
tff(func_def_26,type,
sF14: set ).
tff(func_def_27,type,
sF15: $int ).
tff(func_def_28,type,
sF16: $int ).
tff(func_def_29,type,
sF17: $int ).
tff(func_def_30,type,
sF18: set ).
tff(pred_def_1,type,
member: ( element * set ) > $o ).
tff(pred_def_2,type,
subset: ( set * set ) > $o ).
tff(f3121,plain,
$false,
inference(avatar_smt_refutation,[],[f123,f127,f131,f135,f139,f143,f147,f151,f155,f159,f163,f167,f171,f175,f179,f183,f187,f191,f195,f200,f206,f210,f226,f251,f258,f262,f267,f278,f296,f312,f324,f370,f380,f385,f391,f404,f408,f414,f419,f425,f453,f461,f466,f562,f572,f578,f596,f603,f621,f654,f663,f692,f709,f752,f763,f781,f788,f795,f810,f829,f845,f851,f857,f862,f865,f872,f879,f883,f896,f925,f931,f939,f945,f956,f961,f966,f968,f975,f982,f993,f994,f995,f996,f1003,f1007,f1019,f1055,f1064,f1074,f1075,f1076,f1085,f1093,f1099,f1179,f1188,f1213,f1332,f1356,f1366,f1374,f1381,f1390,f1391,f1395,f1400,f1404,f1412,f1416,f1425,f1429,f1435,f1441,f1446,f1450,f1465,f1485,f1502,f1523,f1530,f1560,f1567,f1577,f1581,f1628,f1713,f1755,f1784,f1788,f1856,f1875,f1879,f1891,f1895,f1961,f1979,f1990,f1994,f1999,f2011,f2043,f2055,f2057,f2120,f2153,f2180,f2186,f2193,f2242,f2356,f2360,f2394,f2422,f2468,f2505,f2525,f2527,f2726,f2732,f2761,f2776,f2800,f2916,f2922,f2993,f2996,f3059,f3067,f3069,f3084,f3096,f3117,f3120]) ).
tff(f3120,plain,
( ~ spl19_15
| spl19_37
| ~ spl19_41
| spl19_50 ),
inference(avatar_contradiction_clause,[],[f3119]) ).
tff(f3119,plain,
( $false
| ~ spl19_15
| spl19_37
| ~ spl19_41
| spl19_50 ),
inference(subsumption_resolution,[],[f3097,f3116]) ).
tff(f3116,plain,
( member(sK7,sF10)
| ~ spl19_41 ),
inference(avatar_component_clause,[],[f459]) ).
tff(f459,plain,
( spl19_41
<=> member(sK7,sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_41])]) ).
tff(f3097,plain,
( ~ member(sK7,sF10)
| ~ spl19_15
| spl19_37
| spl19_50 ),
inference(subsumption_resolution,[],[f2668,f653]) ).
tff(f653,plain,
( ~ member(sK7,sK3)
| spl19_50 ),
inference(avatar_component_clause,[],[f652]) ).
tff(f652,plain,
( spl19_50
<=> member(sK7,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_50])]) ).
tff(f2668,plain,
( ~ member(sK7,sF10)
| member(sK7,sK3)
| ~ spl19_15
| spl19_37 ),
inference(resolution,[],[f301,f413]) ).
tff(f413,plain,
( ~ member(sK7,sF8)
| spl19_37 ),
inference(avatar_component_clause,[],[f412]) ).
tff(f412,plain,
( spl19_37
<=> member(sK7,sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_37])]) ).
tff(f301,plain,
( ! [X1: element] :
( member(X1,sF8)
| member(X1,sK3)
| ~ member(X1,sF10) )
| ~ spl19_15 ),
inference(superposition,[],[f90,f178]) ).
tff(f178,plain,
( ( sF10 = union(sK3,sF8) )
| ~ spl19_15 ),
inference(avatar_component_clause,[],[f177]) ).
tff(f177,plain,
( spl19_15
<=> ( sF10 = union(sK3,sF8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_15])]) ).
tff(f90,plain,
! [X2: set,X0: element,X1: set] :
( ~ member(X0,union(X1,X2))
| member(X0,X2)
| member(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
tff(f61,plain,
! [X0: element,X1: set,X2: set] :
( ( member(X0,union(X1,X2))
| ( ~ member(X0,X1)
& ~ member(X0,X2) ) )
& ( member(X0,X1)
| member(X0,X2)
| ~ member(X0,union(X1,X2)) ) ),
inference(rectify,[],[f60]) ).
tff(f60,plain,
! [X2: element,X0: set,X1: set] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X0)
& ~ member(X2,X1) ) )
& ( member(X2,X0)
| member(X2,X1)
| ~ member(X2,union(X0,X1)) ) ),
inference(flattening,[],[f59]) ).
tff(f59,plain,
! [X2: element,X0: set,X1: set] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X0)
& ~ member(X2,X1) ) )
& ( member(X2,X0)
| member(X2,X1)
| ~ member(X2,union(X0,X1)) ) ),
inference(nnf_transformation,[],[f37]) ).
tff(f37,plain,
! [X2: element,X0: set,X1: set] :
( member(X2,union(X0,X1))
<=> ( member(X2,X0)
| member(X2,X1) ) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X2: set,X3: set,X1: element] :
( ( member(X1,X3)
| member(X1,X2) )
<=> member(X1,union(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).
tff(f3117,plain,
( spl19_41
| ~ spl19_10
| spl19_58 ),
inference(avatar_split_clause,[],[f3115,f779,f157,f459]) ).
tff(f157,plain,
( spl19_10
<=> ( sF11 = singleton(sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_10])]) ).
tff(f779,plain,
( spl19_58
<=> ( empty_set = intersection(sF10,sF11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_58])]) ).
tff(f3115,plain,
( member(sK7,sF10)
| ~ spl19_10
| spl19_58 ),
inference(trivial_inequality_removal,[],[f3114]) ).
tff(f3114,plain,
( member(sK7,sF10)
| ( empty_set != empty_set )
| ~ spl19_10
| spl19_58 ),
inference(superposition,[],[f864,f1803]) ).
tff(f1803,plain,
( ! [X0: set] :
( ( empty_set = intersection(X0,sF11) )
| member(sK7,X0) )
| ~ spl19_10 ),
inference(duplicate_literal_removal,[],[f1800]) ).
tff(f1800,plain,
( ! [X0: set] :
( ( empty_set = intersection(X0,sF11) )
| ( empty_set = intersection(X0,sF11) )
| member(sK7,X0) )
| ~ spl19_10 ),
inference(superposition,[],[f274,f525]) ).
tff(f525,plain,
( ! [X21: set] :
( ( sK7 = sK0(intersection(X21,sF11)) )
| ( empty_set = intersection(X21,sF11) ) )
| ~ spl19_10 ),
inference(resolution,[],[f272,f214]) ).
tff(f214,plain,
( ! [X1: element] :
( ~ member(X1,sF11)
| ( sK7 = X1 ) )
| ~ spl19_10 ),
inference(superposition,[],[f70,f158]) ).
tff(f158,plain,
( ( sF11 = singleton(sK7) )
| ~ spl19_10 ),
inference(avatar_component_clause,[],[f157]) ).
tff(f70,plain,
! [X0: element,X1: element] :
( ~ member(X1,singleton(X0))
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f43]) ).
tff(f43,plain,
! [X0: element,X1: element] :
( ( member(X1,singleton(X0))
| ( X0 != X1 ) )
& ( ( X0 = X1 )
| ~ member(X1,singleton(X0)) ) ),
inference(rectify,[],[f42]) ).
tff(f42,plain,
! [X1: element,X0: element] :
( ( member(X0,singleton(X1))
| ( X0 != X1 ) )
& ( ( X0 = X1 )
| ~ member(X0,singleton(X1)) ) ),
inference(nnf_transformation,[],[f29]) ).
tff(f29,plain,
! [X1: element,X0: element] :
( member(X0,singleton(X1))
<=> ( X0 = X1 ) ),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X1: element,X2: element] :
( member(X1,singleton(X2))
<=> ( X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton) ).
tff(f272,plain,
! [X0: set,X1: set] :
( member(sK0(intersection(X0,X1)),X1)
| ( empty_set = intersection(X0,X1) ) ),
inference(resolution,[],[f98,f73]) ).
tff(f73,plain,
! [X0: set] :
( member(sK0(X0),X0)
| ( empty_set = X0 ) ),
inference(cnf_transformation,[],[f47]) ).
tff(f47,plain,
! [X0: set] :
( ( ( empty_set = X0 )
| member(sK0(X0),X0) )
& ( ! [X2: element] : ~ member(X2,X0)
| ( empty_set != X0 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f45,f46]) ).
tff(f46,plain,
! [X0: set] :
( ? [X1: element] : member(X1,X0)
=> member(sK0(X0),X0) ),
introduced(choice_axiom,[]) ).
tff(f45,plain,
! [X0: set] :
( ( ( empty_set = X0 )
| ? [X1: element] : member(X1,X0) )
& ( ! [X2: element] : ~ member(X2,X0)
| ( empty_set != X0 ) ) ),
inference(rectify,[],[f44]) ).
tff(f44,plain,
! [X0: set] :
( ( ( empty_set = X0 )
| ? [X1: element] : member(X1,X0) )
& ( ! [X1: element] : ~ member(X1,X0)
| ( empty_set != X0 ) ) ),
inference(nnf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0: set] :
( ( empty_set = X0 )
<=> ! [X1: element] : ~ member(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_set) ).
tff(f98,plain,
! [X2: set,X0: set,X1: element] :
( ~ member(X1,intersection(X0,X2))
| member(X1,X2) ),
inference(cnf_transformation,[],[f67]) ).
tff(f67,plain,
! [X0: set,X1: element,X2: set] :
( ( member(X1,intersection(X0,X2))
| ~ member(X1,X0)
| ~ member(X1,X2) )
& ( ( member(X1,X0)
& member(X1,X2) )
| ~ member(X1,intersection(X0,X2)) ) ),
inference(rectify,[],[f66]) ).
tff(f66,plain,
! [X0: set,X2: element,X1: set] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X0)
| ~ member(X2,X1) )
& ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(flattening,[],[f65]) ).
tff(f65,plain,
! [X0: set,X2: element,X1: set] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X0)
| ~ member(X2,X1) )
& ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(nnf_transformation,[],[f35]) ).
tff(f35,plain,
! [X0: set,X2: element,X1: set] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X0)
& member(X2,X1) ) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X2: set,X3: set,X1: element] :
( member(X1,intersection(X2,X3))
<=> ( member(X1,X2)
& member(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection) ).
tff(f274,plain,
! [X0: set,X1: set] :
( member(sK0(intersection(X0,X1)),X0)
| ( empty_set = intersection(X0,X1) ) ),
inference(resolution,[],[f99,f73]) ).
tff(f99,plain,
! [X2: set,X0: set,X1: element] :
( ~ member(X1,intersection(X0,X2))
| member(X1,X0) ),
inference(cnf_transformation,[],[f67]) ).
tff(f864,plain,
( ( empty_set != intersection(sF10,sF11) )
| spl19_58 ),
inference(avatar_component_clause,[],[f779]) ).
tff(f3096,plain,
( ~ spl19_45
| ~ spl19_15
| spl19_44
| spl19_51 ),
inference(avatar_split_clause,[],[f3064,f661,f570,f177,f576]) ).
tff(f576,plain,
( spl19_45
<=> member(sK2,sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_45])]) ).
tff(f570,plain,
( spl19_44
<=> member(sK2,sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_44])]) ).
tff(f661,plain,
( spl19_51
<=> member(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_51])]) ).
tff(f3064,plain,
( ~ member(sK2,sF10)
| ~ spl19_15
| spl19_44
| spl19_51 ),
inference(subsumption_resolution,[],[f684,f662]) ).
tff(f662,plain,
( ~ member(sK2,sK3)
| spl19_51 ),
inference(avatar_component_clause,[],[f661]) ).
tff(f684,plain,
( ~ member(sK2,sF10)
| member(sK2,sK3)
| ~ spl19_15
| spl19_44 ),
inference(resolution,[],[f301,f571]) ).
tff(f571,plain,
( ~ member(sK2,sF8)
| spl19_44 ),
inference(avatar_component_clause,[],[f570]) ).
tff(f3084,plain,
( spl19_57
| ~ spl19_16
| ~ spl19_58 ),
inference(avatar_split_clause,[],[f3081,f779,f181,f776]) ).
tff(f776,plain,
( spl19_57
<=> ( $sum(cardinality(sF10),cardinality(sF11)) = cardinality(sF12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_57])]) ).
tff(f181,plain,
( spl19_16
<=> ( sF12 = union(sF10,sF11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_16])]) ).
tff(f3081,plain,
( ( $sum(cardinality(sF10),cardinality(sF11)) = cardinality(sF12) )
| ~ spl19_16
| ~ spl19_58 ),
inference(subsumption_resolution,[],[f327,f780]) ).
tff(f780,plain,
( ( empty_set = intersection(sF10,sF11) )
| ~ spl19_58 ),
inference(avatar_component_clause,[],[f779]) ).
tff(f327,plain,
( ( $sum(cardinality(sF10),cardinality(sF11)) = cardinality(sF12) )
| ( empty_set != intersection(sF10,sF11) )
| ~ spl19_16 ),
inference(superposition,[],[f84,f182]) ).
tff(f182,plain,
( ( sF12 = union(sF10,sF11) )
| ~ spl19_16 ),
inference(avatar_component_clause,[],[f181]) ).
tff(f84,plain,
! [X0: set,X1: set] :
( ( cardinality(union(X1,X0)) = $sum(cardinality(X1),cardinality(X0)) )
| ( empty_set != intersection(X1,X0) ) ),
inference(cnf_transformation,[],[f54]) ).
tff(f54,plain,
! [X0: set,X1: set] :
( ( ( cardinality(union(X1,X0)) = $sum(cardinality(X1),cardinality(X0)) )
| ( empty_set != intersection(X1,X0) ) )
& ( ( empty_set = intersection(X1,X0) )
| ( cardinality(union(X1,X0)) != $sum(cardinality(X1),cardinality(X0)) ) ) ),
inference(rectify,[],[f53]) ).
tff(f53,plain,
! [X1: set,X0: set] :
( ( ( cardinality(union(X0,X1)) = $sum(cardinality(X0),cardinality(X1)) )
| ( empty_set != intersection(X0,X1) ) )
& ( ( empty_set = intersection(X0,X1) )
| ( cardinality(union(X0,X1)) != $sum(cardinality(X0),cardinality(X1)) ) ) ),
inference(nnf_transformation,[],[f28]) ).
tff(f28,plain,
! [X1: set,X0: set] :
( ( cardinality(union(X0,X1)) = $sum(cardinality(X0),cardinality(X1)) )
<=> ( empty_set = intersection(X0,X1) ) ),
inference(rectify,[],[f12]) ).
tff(f12,axiom,
! [X2: set,X3: set] :
( ( empty_set = intersection(X2,X3) )
<=> ( cardinality(union(X2,X3)) = $sum(cardinality(X2),cardinality(X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cardinality_union) ).
tff(f3069,plain,
( spl19_54
| ~ spl19_11
| spl19_63 ),
inference(avatar_split_clause,[],[f3057,f805,f161,f750]) ).
tff(f750,plain,
( spl19_54
<=> member(sK2,sF12) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_54])]) ).
tff(f161,plain,
( spl19_11
<=> ( singleton(sK2) = sF13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_11])]) ).
tff(f805,plain,
( spl19_63
<=> ( empty_set = intersection(sF12,sF13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_63])]) ).
tff(f3057,plain,
( member(sK2,sF12)
| ~ spl19_11
| spl19_63 ),
inference(trivial_inequality_removal,[],[f3053]) ).
tff(f3053,plain,
( member(sK2,sF12)
| ( empty_set != empty_set )
| ~ spl19_11
| spl19_63 ),
inference(superposition,[],[f967,f1813]) ).
tff(f1813,plain,
( ! [X0: set] :
( ( empty_set = intersection(X0,sF13) )
| member(sK2,X0) )
| ~ spl19_11 ),
inference(duplicate_literal_removal,[],[f1809]) ).
tff(f1809,plain,
( ! [X0: set] :
( member(sK2,X0)
| ( empty_set = intersection(X0,sF13) )
| ( empty_set = intersection(X0,sF13) ) )
| ~ spl19_11 ),
inference(superposition,[],[f274,f526]) ).
tff(f526,plain,
( ! [X22: set] :
( ( sK0(intersection(X22,sF13)) = sK2 )
| ( empty_set = intersection(X22,sF13) ) )
| ~ spl19_11 ),
inference(resolution,[],[f272,f215]) ).
tff(f215,plain,
( ! [X2: element] :
( ~ member(X2,sF13)
| ( sK2 = X2 ) )
| ~ spl19_11 ),
inference(superposition,[],[f70,f162]) ).
tff(f162,plain,
( ( singleton(sK2) = sF13 )
| ~ spl19_11 ),
inference(avatar_component_clause,[],[f161]) ).
tff(f967,plain,
( ( empty_set != intersection(sF12,sF13) )
| spl19_63 ),
inference(avatar_component_clause,[],[f805]) ).
tff(f3067,plain,
( spl19_48
| ~ spl19_14
| ~ spl19_49 ),
inference(avatar_split_clause,[],[f2943,f601,f173,f598]) ).
tff(f598,plain,
( spl19_48
<=> ( $sum(cardinality(sK5),cardinality(sF8)) = cardinality(sF9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_48])]) ).
tff(f173,plain,
( spl19_14
<=> ( union(sK5,sF8) = sF9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_14])]) ).
tff(f601,plain,
( spl19_49
<=> ( empty_set = intersection(sK5,sF8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_49])]) ).
tff(f2943,plain,
( ( $sum(cardinality(sK5),cardinality(sF8)) = cardinality(sF9) )
| ~ spl19_14
| ~ spl19_49 ),
inference(subsumption_resolution,[],[f325,f602]) ).
tff(f602,plain,
( ( empty_set = intersection(sK5,sF8) )
| ~ spl19_49 ),
inference(avatar_component_clause,[],[f601]) ).
tff(f325,plain,
( ( empty_set != intersection(sK5,sF8) )
| ( $sum(cardinality(sK5),cardinality(sF8)) = cardinality(sF9) )
| ~ spl19_14 ),
inference(superposition,[],[f84,f174]) ).
tff(f174,plain,
( ( union(sK5,sF8) = sF9 )
| ~ spl19_14 ),
inference(avatar_component_clause,[],[f173]) ).
tff(f3059,plain,
( ~ spl19_11
| spl19_54
| spl19_63 ),
inference(avatar_contradiction_clause,[],[f3058]) ).
tff(f3058,plain,
( $false
| ~ spl19_11
| spl19_54
| spl19_63 ),
inference(subsumption_resolution,[],[f3057,f751]) ).
tff(f751,plain,
( ~ member(sK2,sF12)
| spl19_54 ),
inference(avatar_component_clause,[],[f750]) ).
tff(f2996,plain,
( spl19_3
| ~ spl19_10
| spl19_60 ),
inference(avatar_contradiction_clause,[],[f2995]) ).
tff(f2995,plain,
( $false
| spl19_3
| ~ spl19_10
| spl19_60 ),
inference(subsumption_resolution,[],[f2985,f130]) ).
tff(f130,plain,
( ~ member(sK7,sK1)
| spl19_3 ),
inference(avatar_component_clause,[],[f129]) ).
tff(f129,plain,
( spl19_3
<=> member(sK7,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_3])]) ).
tff(f2985,plain,
( member(sK7,sK1)
| ~ spl19_10
| spl19_60 ),
inference(trivial_inequality_removal,[],[f2980]) ).
tff(f2980,plain,
( ( empty_set != empty_set )
| member(sK7,sK1)
| ~ spl19_10
| spl19_60 ),
inference(superposition,[],[f878,f1803]) ).
tff(f878,plain,
( ( empty_set != intersection(sK1,sF11) )
| spl19_60 ),
inference(avatar_component_clause,[],[f786]) ).
tff(f786,plain,
( spl19_60
<=> ( empty_set = intersection(sK1,sF11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_60])]) ).
tff(f2993,plain,
( ~ spl19_10
| spl19_41
| spl19_58 ),
inference(avatar_contradiction_clause,[],[f2992]) ).
tff(f2992,plain,
( $false
| ~ spl19_10
| spl19_41
| spl19_58 ),
inference(subsumption_resolution,[],[f2987,f460]) ).
tff(f460,plain,
( ~ member(sK7,sF10)
| spl19_41 ),
inference(avatar_component_clause,[],[f459]) ).
tff(f2987,plain,
( member(sK7,sF10)
| ~ spl19_10
| spl19_58 ),
inference(trivial_inequality_removal,[],[f2982]) ).
tff(f2982,plain,
( member(sK7,sF10)
| ( empty_set != empty_set )
| ~ spl19_10
| spl19_58 ),
inference(superposition,[],[f864,f1803]) ).
tff(f2922,plain,
( ~ spl19_9
| spl19_28
| spl19_61 ),
inference(avatar_contradiction_clause,[],[f2921]) ).
tff(f2921,plain,
( $false
| ~ spl19_9
| spl19_28
| spl19_61 ),
inference(subsumption_resolution,[],[f2911,f295]) ).
tff(f295,plain,
( ~ member(sK4,sK3)
| spl19_28 ),
inference(avatar_component_clause,[],[f294]) ).
tff(f294,plain,
( spl19_28
<=> member(sK4,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_28])]) ).
tff(f2911,plain,
( member(sK4,sK3)
| ~ spl19_9
| spl19_61 ),
inference(trivial_inequality_removal,[],[f2906]) ).
tff(f2906,plain,
( member(sK4,sK3)
| ( empty_set != empty_set )
| ~ spl19_9
| spl19_61 ),
inference(superposition,[],[f955,f1795]) ).
tff(f1795,plain,
( ! [X0: set] :
( ( empty_set = intersection(X0,sF8) )
| member(sK4,X0) )
| ~ spl19_9 ),
inference(duplicate_literal_removal,[],[f1791]) ).
tff(f1791,plain,
( ! [X0: set] :
( member(sK4,X0)
| ( empty_set = intersection(X0,sF8) )
| ( empty_set = intersection(X0,sF8) ) )
| ~ spl19_9 ),
inference(superposition,[],[f274,f524]) ).
tff(f524,plain,
( ! [X20: set] :
( ( sK4 = sK0(intersection(X20,sF8)) )
| ( empty_set = intersection(X20,sF8) ) )
| ~ spl19_9 ),
inference(resolution,[],[f272,f213]) ).
tff(f213,plain,
( ! [X0: element] :
( ~ member(X0,sF8)
| ( sK4 = X0 ) )
| ~ spl19_9 ),
inference(superposition,[],[f70,f154]) ).
tff(f154,plain,
( ( sF8 = singleton(sK4) )
| ~ spl19_9 ),
inference(avatar_component_clause,[],[f153]) ).
tff(f153,plain,
( spl19_9
<=> ( sF8 = singleton(sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_9])]) ).
tff(f955,plain,
( ( empty_set != intersection(sK3,sF8) )
| spl19_61 ),
inference(avatar_component_clause,[],[f790]) ).
tff(f790,plain,
( spl19_61
<=> ( empty_set = intersection(sK3,sF8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_61])]) ).
tff(f2916,plain,
( spl19_1
| ~ spl19_9
| spl19_49 ),
inference(avatar_contradiction_clause,[],[f2915]) ).
tff(f2915,plain,
( $false
| spl19_1
| ~ spl19_9
| spl19_49 ),
inference(subsumption_resolution,[],[f2913,f122]) ).
tff(f122,plain,
( ~ member(sK4,sK5)
| spl19_1 ),
inference(avatar_component_clause,[],[f121]) ).
tff(f121,plain,
( spl19_1
<=> member(sK4,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_1])]) ).
tff(f2913,plain,
( member(sK4,sK5)
| ~ spl19_9
| spl19_49 ),
inference(trivial_inequality_removal,[],[f2907]) ).
tff(f2907,plain,
( member(sK4,sK5)
| ( empty_set != empty_set )
| ~ spl19_9
| spl19_49 ),
inference(superposition,[],[f828,f1795]) ).
tff(f828,plain,
( ( empty_set != intersection(sK5,sF8) )
| spl19_49 ),
inference(avatar_component_clause,[],[f601]) ).
tff(f2800,plain,
( ~ spl19_157
| ~ spl19_15
| spl19_75
| spl19_77 ),
inference(avatar_split_clause,[],[f2670,f964,f943,f177,f2798]) ).
tff(f2798,plain,
( spl19_157
<=> member(sK0(complement(sK6)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_157])]) ).
tff(f943,plain,
( spl19_75
<=> member(sK0(complement(sK6)),sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_75])]) ).
tff(f964,plain,
( spl19_77
<=> member(sK0(complement(sK6)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_77])]) ).
tff(f2670,plain,
( ~ member(sK0(complement(sK6)),sF10)
| ~ spl19_15
| spl19_75
| spl19_77 ),
inference(subsumption_resolution,[],[f2656,f965]) ).
tff(f965,plain,
( ~ member(sK0(complement(sK6)),sK3)
| spl19_77 ),
inference(avatar_component_clause,[],[f964]) ).
tff(f2656,plain,
( member(sK0(complement(sK6)),sK3)
| ~ member(sK0(complement(sK6)),sF10)
| ~ spl19_15
| spl19_75 ),
inference(resolution,[],[f301,f944]) ).
tff(f944,plain,
( ~ member(sK0(complement(sK6)),sF8)
| spl19_75 ),
inference(avatar_component_clause,[],[f943]) ).
tff(f2776,plain,
( ~ spl19_156
| ~ spl19_15
| spl19_105
| spl19_110 ),
inference(avatar_split_clause,[],[f2672,f1483,f1433,f177,f2774]) ).
tff(f2774,plain,
( spl19_156
<=> member(sK0(complement(sF18)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_156])]) ).
tff(f1433,plain,
( spl19_105
<=> member(sK0(complement(sF18)),sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_105])]) ).
tff(f1483,plain,
( spl19_110
<=> member(sK0(complement(sF18)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_110])]) ).
tff(f2672,plain,
( ~ member(sK0(complement(sF18)),sF10)
| ~ spl19_15
| spl19_105
| spl19_110 ),
inference(subsumption_resolution,[],[f2661,f1484]) ).
tff(f1484,plain,
( ~ member(sK0(complement(sF18)),sK3)
| spl19_110 ),
inference(avatar_component_clause,[],[f1483]) ).
tff(f2661,plain,
( ~ member(sK0(complement(sF18)),sF10)
| member(sK0(complement(sF18)),sK3)
| ~ spl19_15
| spl19_105 ),
inference(resolution,[],[f301,f1434]) ).
tff(f1434,plain,
( ~ member(sK0(complement(sF18)),sF8)
| spl19_105 ),
inference(avatar_component_clause,[],[f1433]) ).
tff(f2761,plain,
( ~ spl19_155
| ~ spl19_15
| spl19_67
| spl19_69 ),
inference(avatar_split_clause,[],[f2669,f860,f849,f177,f2759]) ).
tff(f2759,plain,
( spl19_155
<=> member(sK0(complement(sK1)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_155])]) ).
tff(f849,plain,
( spl19_67
<=> member(sK0(complement(sK1)),sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_67])]) ).
tff(f860,plain,
( spl19_69
<=> member(sK0(complement(sK1)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_69])]) ).
tff(f2669,plain,
( ~ member(sK0(complement(sK1)),sF10)
| ~ spl19_15
| spl19_67
| spl19_69 ),
inference(subsumption_resolution,[],[f2655,f861]) ).
tff(f861,plain,
( ~ member(sK0(complement(sK1)),sK3)
| spl19_69 ),
inference(avatar_component_clause,[],[f860]) ).
tff(f2655,plain,
( ~ member(sK0(complement(sK1)),sF10)
| member(sK0(complement(sK1)),sK3)
| ~ spl19_15
| spl19_67 ),
inference(resolution,[],[f301,f850]) ).
tff(f850,plain,
( ~ member(sK0(complement(sK1)),sF8)
| spl19_67 ),
inference(avatar_component_clause,[],[f849]) ).
tff(f2732,plain,
( ~ spl19_154
| ~ spl19_15
| spl19_87
| spl19_103 ),
inference(avatar_split_clause,[],[f2671,f1423,f1062,f177,f2730]) ).
tff(f2730,plain,
( spl19_154
<=> member(sK0(complement(sF10)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_154])]) ).
tff(f1062,plain,
( spl19_87
<=> member(sK0(complement(sF10)),sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_87])]) ).
tff(f1423,plain,
( spl19_103
<=> member(sK0(complement(sF10)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_103])]) ).
tff(f2671,plain,
( ~ member(sK0(complement(sF10)),sF10)
| ~ spl19_15
| spl19_87
| spl19_103 ),
inference(subsumption_resolution,[],[f2658,f1424]) ).
tff(f1424,plain,
( ~ member(sK0(complement(sF10)),sK3)
| spl19_103 ),
inference(avatar_component_clause,[],[f1423]) ).
tff(f2658,plain,
( member(sK0(complement(sF10)),sK3)
| ~ member(sK0(complement(sF10)),sF10)
| ~ spl19_15
| spl19_87 ),
inference(resolution,[],[f301,f1063]) ).
tff(f1063,plain,
( ~ member(sK0(complement(sF10)),sF8)
| spl19_87 ),
inference(avatar_component_clause,[],[f1062]) ).
tff(f2726,plain,
( ~ spl19_153
| ~ spl19_19
| spl19_98
| spl19_102 ),
inference(avatar_split_clause,[],[f1419,f1414,f1379,f193,f2724]) ).
tff(f2724,plain,
( spl19_153
<=> member(sK0(complement(sF18)),sF18) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_153])]) ).
tff(f193,plain,
( spl19_19
<=> ( sF18 = union(sK1,sF11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_19])]) ).
tff(f1379,plain,
( spl19_98
<=> member(sK0(complement(sF18)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_98])]) ).
tff(f1414,plain,
( spl19_102
<=> member(sK0(complement(sF18)),sF11) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_102])]) ).
tff(f1419,plain,
( ~ member(sK0(complement(sF18)),sF18)
| ~ spl19_19
| spl19_98
| spl19_102 ),
inference(subsumption_resolution,[],[f1417,f1380]) ).
tff(f1380,plain,
( ~ member(sK0(complement(sF18)),sK1)
| spl19_98 ),
inference(avatar_component_clause,[],[f1379]) ).
tff(f1417,plain,
( ~ member(sK0(complement(sF18)),sF18)
| member(sK0(complement(sF18)),sK1)
| ~ spl19_19
| spl19_102 ),
inference(resolution,[],[f1415,f303]) ).
tff(f303,plain,
( ! [X3: element] :
( member(X3,sF11)
| member(X3,sK1)
| ~ member(X3,sF18) )
| ~ spl19_19 ),
inference(superposition,[],[f90,f194]) ).
tff(f194,plain,
( ( sF18 = union(sK1,sF11) )
| ~ spl19_19 ),
inference(avatar_component_clause,[],[f193]) ).
tff(f1415,plain,
( ~ member(sK0(complement(sF18)),sF11)
| spl19_102 ),
inference(avatar_component_clause,[],[f1414]) ).
tff(f2527,plain,
( ~ spl19_14
| spl19_46
| ~ spl19_134 ),
inference(avatar_contradiction_clause,[],[f2526]) ).
tff(f2526,plain,
( $false
| ~ spl19_14
| spl19_46
| ~ spl19_134 ),
inference(subsumption_resolution,[],[f2516,f1373]) ).
tff(f1373,plain,
( ( empty_set != sF8 )
| spl19_46 ),
inference(avatar_component_clause,[],[f591]) ).
tff(f591,plain,
( spl19_46
<=> ( empty_set = sF8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_46])]) ).
tff(f2516,plain,
( ( empty_set = sF8 )
| ~ spl19_14
| ~ spl19_134 ),
inference(resolution,[],[f2497,f73]) ).
tff(f2497,plain,
( ! [X0: element] : ~ member(X0,sF8)
| ~ spl19_14
| ~ spl19_134 ),
inference(subsumption_resolution,[],[f2476,f104]) ).
tff(f104,plain,
! [X2: element] : ~ member(X2,empty_set),
inference(equality_resolution,[],[f72]) ).
tff(f72,plain,
! [X2: element,X0: set] :
( ~ member(X2,X0)
| ( empty_set != X0 ) ),
inference(cnf_transformation,[],[f47]) ).
tff(f2476,plain,
( ! [X0: element] :
( member(X0,empty_set)
| ~ member(X0,sF8) )
| ~ spl19_14
| ~ spl19_134 ),
inference(backward_demodulation,[],[f231,f1986]) ).
tff(f1986,plain,
( ( empty_set = sF9 )
| ~ spl19_134 ),
inference(avatar_component_clause,[],[f1985]) ).
tff(f1985,plain,
( spl19_134
<=> ( empty_set = sF9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_134])]) ).
tff(f231,plain,
( ! [X0: element] :
( member(X0,sF9)
| ~ member(X0,sF8) )
| ~ spl19_14 ),
inference(superposition,[],[f91,f174]) ).
tff(f91,plain,
! [X2: set,X0: element,X1: set] :
( member(X0,union(X1,X2))
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f61]) ).
tff(f2525,plain,
( ~ spl19_14
| ~ spl19_20
| ~ spl19_134 ),
inference(avatar_contradiction_clause,[],[f2524]) ).
tff(f2524,plain,
( $false
| ~ spl19_14
| ~ spl19_20
| ~ spl19_134 ),
inference(resolution,[],[f2497,f199]) ).
tff(f199,plain,
( member(sK4,sF8)
| ~ spl19_20 ),
inference(avatar_component_clause,[],[f198]) ).
tff(f198,plain,
( spl19_20
<=> member(sK4,sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_20])]) ).
tff(f2505,plain,
( spl19_152
| ~ spl19_5
| ~ spl19_134 ),
inference(avatar_split_clause,[],[f2474,f1985,f137,f2503]) ).
tff(f2503,plain,
( spl19_152
<=> subset(empty_set,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_152])]) ).
tff(f137,plain,
( spl19_5
<=> subset(sF9,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_5])]) ).
tff(f2474,plain,
( subset(empty_set,sK1)
| ~ spl19_5
| ~ spl19_134 ),
inference(backward_demodulation,[],[f138,f1986]) ).
tff(f138,plain,
( subset(sF9,sK1)
| ~ spl19_5 ),
inference(avatar_component_clause,[],[f137]) ).
tff(f2468,plain,
( spl19_63
| ~ spl19_128 ),
inference(avatar_contradiction_clause,[],[f2467]) ).
tff(f2467,plain,
( $false
| spl19_63
| ~ spl19_128 ),
inference(subsumption_resolution,[],[f2459,f527]) ).
tff(f527,plain,
! [X0: set] : ( empty_set = intersection(empty_set,X0) ),
inference(resolution,[],[f274,f104]) ).
tff(f2459,plain,
( ( empty_set != intersection(empty_set,sF13) )
| spl19_63
| ~ spl19_128 ),
inference(backward_demodulation,[],[f967,f1957]) ).
tff(f1957,plain,
( ( empty_set = sF12 )
| ~ spl19_128 ),
inference(avatar_component_clause,[],[f1956]) ).
tff(f1956,plain,
( spl19_128
<=> ( empty_set = sF12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_128])]) ).
tff(f2422,plain,
( spl19_58
| ~ spl19_143 ),
inference(avatar_contradiction_clause,[],[f2421]) ).
tff(f2421,plain,
( $false
| spl19_58
| ~ spl19_143 ),
inference(subsumption_resolution,[],[f2411,f527]) ).
tff(f2411,plain,
( ( empty_set != intersection(empty_set,sF11) )
| spl19_58
| ~ spl19_143 ),
inference(backward_demodulation,[],[f864,f2176]) ).
tff(f2176,plain,
( ( empty_set = sF10 )
| ~ spl19_143 ),
inference(avatar_component_clause,[],[f2175]) ).
tff(f2175,plain,
( spl19_143
<=> ( empty_set = sF10 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_143])]) ).
tff(f2394,plain,
( spl19_143
| spl19_151
| ~ spl19_145 ),
inference(avatar_split_clause,[],[f2237,f2184,f2392,f2175]) ).
tff(f2392,plain,
( spl19_151
<=> member(sK4,sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_151])]) ).
tff(f2184,plain,
( spl19_145
<=> ( sK4 = sK0(sF10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_145])]) ).
tff(f2237,plain,
( member(sK4,sF10)
| ( empty_set = sF10 )
| ~ spl19_145 ),
inference(superposition,[],[f73,f2185]) ).
tff(f2185,plain,
( ( sK4 = sK0(sF10) )
| ~ spl19_145 ),
inference(avatar_component_clause,[],[f2184]) ).
tff(f2360,plain,
( spl19_150
| spl19_134
| ~ spl19_141 ),
inference(avatar_split_clause,[],[f2168,f2151,f1985,f2358]) ).
tff(f2358,plain,
( spl19_150
<=> member(sK4,sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_150])]) ).
tff(f2151,plain,
( spl19_141
<=> ( sK0(sF9) = sK4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_141])]) ).
tff(f2168,plain,
( ( empty_set = sF9 )
| member(sK4,sF9)
| ~ spl19_141 ),
inference(superposition,[],[f73,f2152]) ).
tff(f2152,plain,
( ( sK0(sF9) = sK4 )
| ~ spl19_141 ),
inference(avatar_component_clause,[],[f2151]) ).
tff(f2356,plain,
( spl19_128
| spl19_149
| ~ spl19_140 ),
inference(avatar_split_clause,[],[f2121,f2118,f2354,f1956]) ).
tff(f2354,plain,
( spl19_149
<=> member(sK7,sF12) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_149])]) ).
tff(f2118,plain,
( spl19_140
<=> ( sK0(sF12) = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_140])]) ).
tff(f2121,plain,
( member(sK7,sF12)
| ( empty_set = sF12 )
| ~ spl19_140 ),
inference(superposition,[],[f73,f2119]) ).
tff(f2119,plain,
( ( sK0(sF12) = sK7 )
| ~ spl19_140 ),
inference(avatar_component_clause,[],[f2118]) ).
tff(f2242,plain,
( spl19_148
| ~ spl19_11
| ~ spl19_146 ),
inference(avatar_split_clause,[],[f2194,f2188,f161,f2240]) ).
tff(f2240,plain,
( spl19_148
<=> ( sK0(sF14) = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_148])]) ).
tff(f2188,plain,
( spl19_146
<=> member(sK0(sF14),sF13) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_146])]) ).
tff(f2194,plain,
( ( sK0(sF14) = sK2 )
| ~ spl19_11
| ~ spl19_146 ),
inference(resolution,[],[f2189,f215]) ).
tff(f2189,plain,
( member(sK0(sF14),sF13)
| ~ spl19_146 ),
inference(avatar_component_clause,[],[f2188]) ).
tff(f2193,plain,
( spl19_146
| spl19_24
| spl19_147
| ~ spl19_17 ),
inference(avatar_split_clause,[],[f1116,f185,f2191,f246,f2188]) ).
tff(f246,plain,
( spl19_24
<=> ( empty_set = sF14 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_24])]) ).
tff(f2191,plain,
( spl19_147
<=> member(sK0(sF14),sF12) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_147])]) ).
tff(f185,plain,
( spl19_17
<=> ( union(sF12,sF13) = sF14 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_17])]) ).
tff(f1116,plain,
( member(sK0(sF14),sF12)
| ( empty_set = sF14 )
| member(sK0(sF14),sF13)
| ~ spl19_17 ),
inference(superposition,[],[f299,f186]) ).
tff(f186,plain,
( ( union(sF12,sF13) = sF14 )
| ~ spl19_17 ),
inference(avatar_component_clause,[],[f185]) ).
tff(f299,plain,
! [X6: set,X7: set] :
( member(sK0(union(X6,X7)),X7)
| member(sK0(union(X6,X7)),X6)
| ( empty_set = union(X6,X7) ) ),
inference(resolution,[],[f90,f73]) ).
tff(f2186,plain,
( spl19_145
| ~ spl19_9
| ~ spl19_142 ),
inference(avatar_split_clause,[],[f2181,f2172,f153,f2184]) ).
tff(f2172,plain,
( spl19_142
<=> member(sK0(sF10),sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_142])]) ).
tff(f2181,plain,
( ( sK4 = sK0(sF10) )
| ~ spl19_9
| ~ spl19_142 ),
inference(resolution,[],[f2173,f213]) ).
tff(f2173,plain,
( member(sK0(sF10),sF8)
| ~ spl19_142 ),
inference(avatar_component_clause,[],[f2172]) ).
tff(f2180,plain,
( spl19_142
| spl19_143
| spl19_144
| ~ spl19_15 ),
inference(avatar_split_clause,[],[f1115,f177,f2178,f2175,f2172]) ).
tff(f2178,plain,
( spl19_144
<=> member(sK0(sF10),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_144])]) ).
tff(f1115,plain,
( member(sK0(sF10),sK3)
| ( empty_set = sF10 )
| member(sK0(sF10),sF8)
| ~ spl19_15 ),
inference(superposition,[],[f299,f178]) ).
tff(f2153,plain,
( spl19_141
| ~ spl19_9
| ~ spl19_135 ),
inference(avatar_split_clause,[],[f2085,f1988,f153,f2151]) ).
tff(f1988,plain,
( spl19_135
<=> member(sK0(sF9),sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_135])]) ).
tff(f2085,plain,
( ( sK0(sF9) = sK4 )
| ~ spl19_9
| ~ spl19_135 ),
inference(resolution,[],[f1989,f213]) ).
tff(f1989,plain,
( member(sK0(sF9),sF8)
| ~ spl19_135 ),
inference(avatar_component_clause,[],[f1988]) ).
tff(f2120,plain,
( spl19_140
| ~ spl19_10
| ~ spl19_129 ),
inference(avatar_split_clause,[],[f2072,f1959,f157,f2118]) ).
tff(f1959,plain,
( spl19_129
<=> member(sK0(sF12),sF11) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_129])]) ).
tff(f2072,plain,
( ( sK0(sF12) = sK7 )
| ~ spl19_10
| ~ spl19_129 ),
inference(resolution,[],[f1960,f214]) ).
tff(f1960,plain,
( member(sK0(sF12),sF11)
| ~ spl19_129 ),
inference(avatar_component_clause,[],[f1959]) ).
tff(f2057,plain,
( ~ spl19_19
| spl19_52
| ~ spl19_131 ),
inference(avatar_contradiction_clause,[],[f2056]) ).
tff(f2056,plain,
( $false
| ~ spl19_19
| spl19_52
| ~ spl19_131 ),
inference(subsumption_resolution,[],[f2046,f1331]) ).
tff(f1331,plain,
( ( empty_set != sF11 )
| spl19_52 ),
inference(avatar_component_clause,[],[f687]) ).
tff(f687,plain,
( spl19_52
<=> ( empty_set = sF11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_52])]) ).
tff(f2046,plain,
( ( empty_set = sF11 )
| ~ spl19_19
| ~ spl19_131 ),
inference(resolution,[],[f2036,f73]) ).
tff(f2036,plain,
( ! [X3: element] : ~ member(X3,sF11)
| ~ spl19_19
| ~ spl19_131 ),
inference(subsumption_resolution,[],[f2014,f104]) ).
tff(f2014,plain,
( ! [X3: element] :
( ~ member(X3,sF11)
| member(X3,empty_set) )
| ~ spl19_19
| ~ spl19_131 ),
inference(backward_demodulation,[],[f234,f1975]) ).
tff(f1975,plain,
( ( empty_set = sF18 )
| ~ spl19_131 ),
inference(avatar_component_clause,[],[f1974]) ).
tff(f1974,plain,
( spl19_131
<=> ( empty_set = sF18 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_131])]) ).
tff(f234,plain,
( ! [X3: element] :
( member(X3,sF18)
| ~ member(X3,sF11) )
| ~ spl19_19 ),
inference(superposition,[],[f91,f194]) ).
tff(f2055,plain,
( ~ spl19_19
| ~ spl19_21
| ~ spl19_131 ),
inference(avatar_contradiction_clause,[],[f2054]) ).
tff(f2054,plain,
( $false
| ~ spl19_19
| ~ spl19_21
| ~ spl19_131 ),
inference(resolution,[],[f2036,f205]) ).
tff(f205,plain,
( member(sK7,sF11)
| ~ spl19_21 ),
inference(avatar_component_clause,[],[f204]) ).
tff(f204,plain,
( spl19_21
<=> member(sK7,sF11) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_21])]) ).
tff(f2043,plain,
( spl19_139
| ~ spl19_7
| ~ spl19_131 ),
inference(avatar_split_clause,[],[f2012,f1974,f145,f2041]) ).
tff(f2041,plain,
( spl19_139
<=> subset(empty_set,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_139])]) ).
tff(f145,plain,
( spl19_7
<=> subset(sF18,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_7])]) ).
tff(f2012,plain,
( subset(empty_set,sK6)
| ~ spl19_7
| ~ spl19_131 ),
inference(backward_demodulation,[],[f146,f1975]) ).
tff(f146,plain,
( subset(sF18,sK6)
| ~ spl19_7 ),
inference(avatar_component_clause,[],[f145]) ).
tff(f2011,plain,
( spl19_138
| spl19_131
| ~ spl19_137 ),
inference(avatar_split_clause,[],[f2000,f1997,f1974,f2009]) ).
tff(f2009,plain,
( spl19_138
<=> member(sK7,sF18) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_138])]) ).
tff(f1997,plain,
( spl19_137
<=> ( sK0(sF18) = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_137])]) ).
tff(f2000,plain,
( ( empty_set = sF18 )
| member(sK7,sF18)
| ~ spl19_137 ),
inference(superposition,[],[f73,f1998]) ).
tff(f1998,plain,
( ( sK0(sF18) = sK7 )
| ~ spl19_137 ),
inference(avatar_component_clause,[],[f1997]) ).
tff(f1999,plain,
( spl19_137
| ~ spl19_10
| ~ spl19_130 ),
inference(avatar_split_clause,[],[f1980,f1971,f157,f1997]) ).
tff(f1971,plain,
( spl19_130
<=> member(sK0(sF18),sF11) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_130])]) ).
tff(f1980,plain,
( ( sK0(sF18) = sK7 )
| ~ spl19_10
| ~ spl19_130 ),
inference(resolution,[],[f1972,f214]) ).
tff(f1972,plain,
( member(sK0(sF18),sF11)
| ~ spl19_130 ),
inference(avatar_component_clause,[],[f1971]) ).
tff(f1994,plain,
( spl19_136
| ~ spl19_15 ),
inference(avatar_split_clause,[],[f1904,f177,f1992]) ).
tff(f1992,plain,
( spl19_136
<=> ( empty_set = difference(sK3,sF10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_136])]) ).
tff(f1904,plain,
( ( empty_set = difference(sK3,sF10) )
| ~ spl19_15 ),
inference(duplicate_literal_removal,[],[f1896]) ).
tff(f1896,plain,
( ( empty_set = difference(sK3,sF10) )
| ( empty_set = difference(sK3,sF10) )
| ~ spl19_15 ),
inference(resolution,[],[f673,f227]) ).
tff(f227,plain,
! [X0: set,X1: set] :
( member(sK0(difference(X0,X1)),X0)
| ( empty_set = difference(X0,X1) ) ),
inference(resolution,[],[f86,f73]) ).
tff(f86,plain,
! [X2: set,X0: element,X1: set] :
( ~ member(X0,difference(X1,X2))
| member(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
tff(f56,plain,
! [X0: element,X1: set,X2: set] :
( ( ( ~ member(X0,X2)
& member(X0,X1) )
| ~ member(X0,difference(X1,X2)) )
& ( member(X0,difference(X1,X2))
| member(X0,X2)
| ~ member(X0,X1) ) ),
inference(flattening,[],[f55]) ).
tff(f55,plain,
! [X0: element,X1: set,X2: set] :
( ( ( ~ member(X0,X2)
& member(X0,X1) )
| ~ member(X0,difference(X1,X2)) )
& ( member(X0,difference(X1,X2))
| member(X0,X2)
| ~ member(X0,X1) ) ),
inference(nnf_transformation,[],[f32]) ).
tff(f32,plain,
! [X0: element,X1: set,X2: set] :
( ( ~ member(X0,X2)
& member(X0,X1) )
<=> member(X0,difference(X1,X2)) ),
inference(rectify,[],[f6]) ).
tff(f6,axiom,
! [X3: element,X4: set,X2: set] :
( member(X3,difference(X4,X2))
<=> ( ~ member(X3,X2)
& member(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference) ).
tff(f673,plain,
( ! [X0: set] :
( ~ member(sK0(difference(X0,sF10)),sK3)
| ( empty_set = difference(X0,sF10) ) )
| ~ spl19_15 ),
inference(resolution,[],[f239,f228]) ).
tff(f228,plain,
! [X0: set,X1: set] :
( ~ member(sK0(difference(X0,X1)),X1)
| ( empty_set = difference(X0,X1) ) ),
inference(resolution,[],[f87,f73]) ).
tff(f87,plain,
! [X2: set,X0: element,X1: set] :
( ~ member(X0,difference(X1,X2))
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f56]) ).
tff(f239,plain,
( ! [X1: element] :
( member(X1,sF10)
| ~ member(X1,sK3) )
| ~ spl19_15 ),
inference(superposition,[],[f92,f178]) ).
tff(f92,plain,
! [X2: set,X0: element,X1: set] :
( member(X0,union(X1,X2))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
tff(f1990,plain,
( spl19_133
| spl19_134
| spl19_135
| ~ spl19_14 ),
inference(avatar_split_clause,[],[f1114,f173,f1988,f1985,f1982]) ).
tff(f1982,plain,
( spl19_133
<=> member(sK0(sF9),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_133])]) ).
tff(f1114,plain,
( member(sK0(sF9),sF8)
| ( empty_set = sF9 )
| member(sK0(sF9),sK5)
| ~ spl19_14 ),
inference(superposition,[],[f299,f174]) ).
tff(f1979,plain,
( spl19_130
| spl19_131
| spl19_132
| ~ spl19_19 ),
inference(avatar_split_clause,[],[f1113,f193,f1977,f1974,f1971]) ).
tff(f1977,plain,
( spl19_132
<=> member(sK0(sF18),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_132])]) ).
tff(f1113,plain,
( member(sK0(sF18),sK1)
| ( empty_set = sF18 )
| member(sK0(sF18),sF11)
| ~ spl19_19 ),
inference(superposition,[],[f299,f194]) ).
tff(f1961,plain,
( spl19_127
| spl19_128
| spl19_129
| ~ spl19_16 ),
inference(avatar_split_clause,[],[f1112,f181,f1959,f1956,f1953]) ).
tff(f1953,plain,
( spl19_127
<=> member(sK0(sF12),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_127])]) ).
tff(f1112,plain,
( member(sK0(sF12),sF11)
| ( empty_set = sF12 )
| member(sK0(sF12),sF10)
| ~ spl19_16 ),
inference(superposition,[],[f299,f182]) ).
tff(f1895,plain,
( spl19_126
| ~ spl19_19 ),
inference(avatar_split_clause,[],[f1779,f193,f1893]) ).
tff(f1893,plain,
( spl19_126
<=> ( empty_set = difference(sF11,sF18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_126])]) ).
tff(f1779,plain,
( ( empty_set = difference(sF11,sF18) )
| ~ spl19_19 ),
inference(duplicate_literal_removal,[],[f1768]) ).
tff(f1768,plain,
( ( empty_set = difference(sF11,sF18) )
| ( empty_set = difference(sF11,sF18) )
| ~ spl19_19 ),
inference(resolution,[],[f513,f227]) ).
tff(f513,plain,
( ! [X30: set] :
( ~ member(sK0(difference(X30,sF18)),sF11)
| ( empty_set = difference(X30,sF18) ) )
| ~ spl19_19 ),
inference(resolution,[],[f228,f234]) ).
tff(f1891,plain,
( spl19_125
| ~ spl19_19 ),
inference(avatar_split_clause,[],[f1764,f193,f1889]) ).
tff(f1889,plain,
( spl19_125
<=> ( empty_set = difference(sK1,sF18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_125])]) ).
tff(f1764,plain,
( ( empty_set = difference(sK1,sF18) )
| ~ spl19_19 ),
inference(duplicate_literal_removal,[],[f1756]) ).
tff(f1756,plain,
( ( empty_set = difference(sK1,sF18) )
| ( empty_set = difference(sK1,sF18) )
| ~ spl19_19 ),
inference(resolution,[],[f512,f227]) ).
tff(f512,plain,
( ! [X29: set] :
( ~ member(sK0(difference(X29,sF18)),sK1)
| ( empty_set = difference(X29,sF18) ) )
| ~ spl19_19 ),
inference(resolution,[],[f228,f241]) ).
tff(f241,plain,
( ! [X3: element] :
( member(X3,sF18)
| ~ member(X3,sK1) )
| ~ spl19_19 ),
inference(superposition,[],[f92,f194]) ).
tff(f1879,plain,
( spl19_124
| ~ spl19_17 ),
inference(avatar_split_clause,[],[f1748,f185,f1877]) ).
tff(f1877,plain,
( spl19_124
<=> ( empty_set = difference(sF13,sF14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_124])]) ).
tff(f1748,plain,
( ( empty_set = difference(sF13,sF14) )
| ~ spl19_17 ),
inference(duplicate_literal_removal,[],[f1740]) ).
tff(f1740,plain,
( ( empty_set = difference(sF13,sF14) )
| ( empty_set = difference(sF13,sF14) )
| ~ spl19_17 ),
inference(resolution,[],[f511,f227]) ).
tff(f511,plain,
( ! [X28: set] :
( ~ member(sK0(difference(X28,sF14)),sF13)
| ( empty_set = difference(X28,sF14) ) )
| ~ spl19_17 ),
inference(resolution,[],[f228,f235]) ).
tff(f235,plain,
( ! [X4: element] :
( member(X4,sF14)
| ~ member(X4,sF13) )
| ~ spl19_17 ),
inference(superposition,[],[f91,f186]) ).
tff(f1875,plain,
( spl19_123
| ~ spl19_17 ),
inference(avatar_split_clause,[],[f1737,f185,f1873]) ).
tff(f1873,plain,
( spl19_123
<=> ( empty_set = difference(sF12,sF14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_123])]) ).
tff(f1737,plain,
( ( empty_set = difference(sF12,sF14) )
| ~ spl19_17 ),
inference(duplicate_literal_removal,[],[f1727]) ).
tff(f1727,plain,
( ( empty_set = difference(sF12,sF14) )
| ( empty_set = difference(sF12,sF14) )
| ~ spl19_17 ),
inference(resolution,[],[f510,f227]) ).
tff(f510,plain,
( ! [X27: set] :
( ~ member(sK0(difference(X27,sF14)),sF12)
| ( empty_set = difference(X27,sF14) ) )
| ~ spl19_17 ),
inference(resolution,[],[f228,f242]) ).
tff(f242,plain,
( ! [X4: element] :
( member(X4,sF14)
| ~ member(X4,sF12) )
| ~ spl19_17 ),
inference(superposition,[],[f92,f186]) ).
tff(f1856,plain,
( spl19_122
| ~ spl19_16 ),
inference(avatar_split_clause,[],[f1725,f181,f1854]) ).
tff(f1854,plain,
( spl19_122
<=> ( empty_set = difference(sF11,sF12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_122])]) ).
tff(f1725,plain,
( ( empty_set = difference(sF11,sF12) )
| ~ spl19_16 ),
inference(duplicate_literal_removal,[],[f1714]) ).
tff(f1714,plain,
( ( empty_set = difference(sF11,sF12) )
| ( empty_set = difference(sF11,sF12) )
| ~ spl19_16 ),
inference(resolution,[],[f508,f227]) ).
tff(f508,plain,
( ! [X25: set] :
( ~ member(sK0(difference(X25,sF12)),sF11)
| ( empty_set = difference(X25,sF12) ) )
| ~ spl19_16 ),
inference(resolution,[],[f228,f233]) ).
tff(f233,plain,
( ! [X2: element] :
( member(X2,sF12)
| ~ member(X2,sF11) )
| ~ spl19_16 ),
inference(superposition,[],[f91,f182]) ).
tff(f1788,plain,
( spl19_121
| ~ spl19_16 ),
inference(avatar_split_clause,[],[f1707,f181,f1786]) ).
tff(f1786,plain,
( spl19_121
<=> ( empty_set = difference(sF10,sF12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_121])]) ).
tff(f1707,plain,
( ( empty_set = difference(sF10,sF12) )
| ~ spl19_16 ),
inference(duplicate_literal_removal,[],[f1697]) ).
tff(f1697,plain,
( ( empty_set = difference(sF10,sF12) )
| ( empty_set = difference(sF10,sF12) )
| ~ spl19_16 ),
inference(resolution,[],[f507,f227]) ).
tff(f507,plain,
( ! [X24: set] :
( ~ member(sK0(difference(X24,sF12)),sF10)
| ( empty_set = difference(X24,sF12) ) )
| ~ spl19_16 ),
inference(resolution,[],[f228,f240]) ).
tff(f240,plain,
( ! [X2: element] :
( member(X2,sF12)
| ~ member(X2,sF10) )
| ~ spl19_16 ),
inference(superposition,[],[f92,f182]) ).
tff(f1784,plain,
( spl19_120
| ~ spl19_15 ),
inference(avatar_split_clause,[],[f1693,f177,f1782]) ).
tff(f1782,plain,
( spl19_120
<=> ( empty_set = difference(sF8,sF10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_120])]) ).
tff(f1693,plain,
( ( empty_set = difference(sF8,sF10) )
| ~ spl19_15 ),
inference(duplicate_literal_removal,[],[f1684]) ).
tff(f1684,plain,
( ( empty_set = difference(sF8,sF10) )
| ( empty_set = difference(sF8,sF10) )
| ~ spl19_15 ),
inference(resolution,[],[f504,f227]) ).
tff(f504,plain,
( ! [X21: set] :
( ~ member(sK0(difference(X21,sF10)),sF8)
| ( empty_set = difference(X21,sF10) ) )
| ~ spl19_15 ),
inference(resolution,[],[f228,f232]) ).
tff(f232,plain,
( ! [X1: element] :
( member(X1,sF10)
| ~ member(X1,sF8) )
| ~ spl19_15 ),
inference(superposition,[],[f91,f178]) ).
tff(f1755,plain,
( spl19_119
| ~ spl19_14 ),
inference(avatar_split_clause,[],[f1682,f173,f1753]) ).
tff(f1753,plain,
( spl19_119
<=> ( empty_set = difference(sF8,sF9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_119])]) ).
tff(f1682,plain,
( ( empty_set = difference(sF8,sF9) )
| ~ spl19_14 ),
inference(duplicate_literal_removal,[],[f1671]) ).
tff(f1671,plain,
( ( empty_set = difference(sF8,sF9) )
| ( empty_set = difference(sF8,sF9) )
| ~ spl19_14 ),
inference(resolution,[],[f503,f227]) ).
tff(f503,plain,
( ! [X20: set] :
( ~ member(sK0(difference(X20,sF9)),sF8)
| ( empty_set = difference(X20,sF9) ) )
| ~ spl19_14 ),
inference(resolution,[],[f228,f231]) ).
tff(f1713,plain,
( spl19_118
| ~ spl19_14 ),
inference(avatar_split_clause,[],[f1667,f173,f1711]) ).
tff(f1711,plain,
( spl19_118
<=> ( empty_set = difference(sK5,sF9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_118])]) ).
tff(f1667,plain,
( ( empty_set = difference(sK5,sF9) )
| ~ spl19_14 ),
inference(duplicate_literal_removal,[],[f1659]) ).
tff(f1659,plain,
( ( empty_set = difference(sK5,sF9) )
| ( empty_set = difference(sK5,sF9) )
| ~ spl19_14 ),
inference(resolution,[],[f502,f227]) ).
tff(f502,plain,
( ! [X19: set] :
( ~ member(sK0(difference(X19,sF9)),sK5)
| ( empty_set = difference(X19,sF9) ) )
| ~ spl19_14 ),
inference(resolution,[],[f228,f238]) ).
tff(f238,plain,
( ! [X0: element] :
( member(X0,sF9)
| ~ member(X0,sK5) )
| ~ spl19_14 ),
inference(superposition,[],[f92,f174]) ).
tff(f1628,plain,
( spl19_117
| ~ spl19_4 ),
inference(avatar_split_clause,[],[f1592,f133,f1626]) ).
tff(f1626,plain,
( spl19_117
<=> ( empty_set = difference(sK3,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_117])]) ).
tff(f133,plain,
( spl19_4
<=> subset(sK3,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_4])]) ).
tff(f1592,plain,
( ( empty_set = difference(sK3,sK5) )
| ~ spl19_4 ),
inference(duplicate_literal_removal,[],[f1588]) ).
tff(f1588,plain,
( ( empty_set = difference(sK3,sK5) )
| ( empty_set = difference(sK3,sK5) )
| ~ spl19_4 ),
inference(resolution,[],[f647,f227]) ).
tff(f647,plain,
( ! [X0: set] :
( ~ member(sK0(difference(X0,sK5)),sK3)
| ( empty_set = difference(X0,sK5) ) )
| ~ spl19_4 ),
inference(resolution,[],[f287,f228]) ).
tff(f287,plain,
( ! [X0: element] :
( member(X0,sK5)
| ~ member(X0,sK3) )
| ~ spl19_4 ),
inference(resolution,[],[f95,f134]) ).
tff(f134,plain,
( subset(sK3,sK5)
| ~ spl19_4 ),
inference(avatar_component_clause,[],[f133]) ).
tff(f95,plain,
! [X2: element,X0: set,X1: set] :
( ~ subset(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[],[f41]) ).
tff(f41,plain,
! [X0: set,X1: set] :
( ! [X2: element] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
tff(f38,plain,
! [X0: set,X1: set] :
( subset(X0,X1)
=> ! [X2: element] :
( member(X2,X0)
=> member(X2,X1) ) ),
inference(unused_predicate_definition_removal,[],[f33]) ).
tff(f33,plain,
! [X0: set,X1: set] :
( ! [X2: element] :
( member(X2,X0)
=> member(X2,X1) )
<=> subset(X0,X1) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X2: set,X3: set] :
( ! [X1: element] :
( member(X1,X2)
=> member(X1,X3) )
<=> subset(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset) ).
tff(f1581,plain,
( spl19_116
| ~ spl19_7 ),
inference(avatar_split_clause,[],[f1573,f145,f1579]) ).
tff(f1579,plain,
( spl19_116
<=> ( empty_set = difference(sF18,sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_116])]) ).
tff(f1573,plain,
( ( empty_set = difference(sF18,sK6) )
| ~ spl19_7 ),
inference(duplicate_literal_removal,[],[f1568]) ).
tff(f1568,plain,
( ( empty_set = difference(sF18,sK6) )
| ( empty_set = difference(sF18,sK6) )
| ~ spl19_7 ),
inference(resolution,[],[f499,f227]) ).
tff(f499,plain,
( ! [X16: set] :
( ~ member(sK0(difference(X16,sK6)),sF18)
| ( empty_set = difference(X16,sK6) ) )
| ~ spl19_7 ),
inference(resolution,[],[f228,f289]) ).
tff(f289,plain,
( ! [X2: element] :
( member(X2,sK6)
| ~ member(X2,sF18) )
| ~ spl19_7 ),
inference(resolution,[],[f95,f146]) ).
tff(f1577,plain,
( spl19_115
| ~ spl19_5 ),
inference(avatar_split_clause,[],[f1566,f137,f1575]) ).
tff(f1575,plain,
( spl19_115
<=> ( empty_set = difference(sF9,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_115])]) ).
tff(f1566,plain,
( ( empty_set = difference(sF9,sK1) )
| ~ spl19_5 ),
inference(duplicate_literal_removal,[],[f1561]) ).
tff(f1561,plain,
( ( empty_set = difference(sF9,sK1) )
| ( empty_set = difference(sF9,sK1) )
| ~ spl19_5 ),
inference(resolution,[],[f498,f227]) ).
tff(f498,plain,
( ! [X15: set] :
( ~ member(sK0(difference(X15,sK1)),sF9)
| ( empty_set = difference(X15,sK1) ) )
| ~ spl19_5 ),
inference(resolution,[],[f228,f288]) ).
tff(f288,plain,
( ! [X1: element] :
( member(X1,sK1)
| ~ member(X1,sF9) )
| ~ spl19_5 ),
inference(resolution,[],[f95,f138]) ).
tff(f1567,plain,
spl19_114,
inference(avatar_split_clause,[],[f1545,f1558]) ).
tff(f1558,plain,
( spl19_114
<=> ( empty_set = union(empty_set,empty_set) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_114])]) ).
tff(f1545,plain,
empty_set = union(empty_set,empty_set),
inference(resolution,[],[f1111,f104]) ).
tff(f1111,plain,
! [X0: set] :
( member(sK0(union(X0,X0)),X0)
| ( empty_set = union(X0,X0) ) ),
inference(factoring,[],[f299]) ).
tff(f1560,plain,
spl19_114,
inference(avatar_split_clause,[],[f1533,f1558]) ).
tff(f1533,plain,
empty_set = union(empty_set,empty_set),
inference(resolution,[],[f1100,f104]) ).
tff(f1100,plain,
! [X0: set] :
( member(sK0(union(X0,empty_set)),X0)
| ( empty_set = union(X0,empty_set) ) ),
inference(resolution,[],[f299,f104]) ).
tff(f1530,plain,
( ~ spl19_113
| ~ spl19_17
| spl19_96
| spl19_100 ),
inference(avatar_split_clause,[],[f1406,f1402,f1364,f185,f1528]) ).
tff(f1528,plain,
( spl19_113
<=> member(sK0(complement(sF14)),sF14) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_113])]) ).
tff(f1364,plain,
( spl19_96
<=> member(sK0(complement(sF14)),sF12) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_96])]) ).
tff(f1402,plain,
( spl19_100
<=> member(sK0(complement(sF14)),sF13) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_100])]) ).
tff(f1406,plain,
( ~ member(sK0(complement(sF14)),sF14)
| ~ spl19_17
| spl19_96
| spl19_100 ),
inference(subsumption_resolution,[],[f1405,f1365]) ).
tff(f1365,plain,
( ~ member(sK0(complement(sF14)),sF12)
| spl19_96 ),
inference(avatar_component_clause,[],[f1364]) ).
tff(f1405,plain,
( ~ member(sK0(complement(sF14)),sF14)
| member(sK0(complement(sF14)),sF12)
| ~ spl19_17
| spl19_100 ),
inference(resolution,[],[f1403,f304]) ).
tff(f304,plain,
( ! [X4: element] :
( member(X4,sF13)
| member(X4,sF12)
| ~ member(X4,sF14) )
| ~ spl19_17 ),
inference(superposition,[],[f90,f186]) ).
tff(f1403,plain,
( ~ member(sK0(complement(sF14)),sF13)
| spl19_100 ),
inference(avatar_component_clause,[],[f1402]) ).
tff(f1523,plain,
( ~ spl19_112
| ~ spl19_16
| spl19_89
| spl19_94 ),
inference(avatar_split_clause,[],[f1359,f1354,f1083,f181,f1521]) ).
tff(f1521,plain,
( spl19_112
<=> member(sK0(complement(sF12)),sF12) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_112])]) ).
tff(f1083,plain,
( spl19_89
<=> member(sK0(complement(sF12)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_89])]) ).
tff(f1354,plain,
( spl19_94
<=> member(sK0(complement(sF12)),sF11) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_94])]) ).
tff(f1359,plain,
( ~ member(sK0(complement(sF12)),sF12)
| ~ spl19_16
| spl19_89
| spl19_94 ),
inference(subsumption_resolution,[],[f1358,f1084]) ).
tff(f1084,plain,
( ~ member(sK0(complement(sF12)),sF10)
| spl19_89 ),
inference(avatar_component_clause,[],[f1083]) ).
tff(f1358,plain,
( ~ member(sK0(complement(sF12)),sF12)
| member(sK0(complement(sF12)),sF10)
| ~ spl19_16
| spl19_94 ),
inference(resolution,[],[f1355,f302]) ).
tff(f302,plain,
( ! [X2: element] :
( member(X2,sF11)
| member(X2,sF10)
| ~ member(X2,sF12) )
| ~ spl19_16 ),
inference(superposition,[],[f90,f182]) ).
tff(f1355,plain,
( ~ member(sK0(complement(sF12)),sF11)
| spl19_94 ),
inference(avatar_component_clause,[],[f1354]) ).
tff(f1502,plain,
( spl19_111
| ~ spl19_8
| ~ spl19_11 ),
inference(avatar_split_clause,[],[f1184,f161,f149,f1500]) ).
tff(f1500,plain,
( spl19_111
<=> ( 1 = $sum(cardinality(sF13),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_111])]) ).
tff(f149,plain,
( spl19_8
<=> ( 0 = cardinality(empty_set) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_8])]) ).
tff(f1184,plain,
( ( 1 = $sum(cardinality(sF13),0) )
| ~ spl19_8
| ~ spl19_11 ),
inference(superposition,[],[f1175,f162]) ).
tff(f1175,plain,
( ! [X0: element] : ( 1 = $sum(cardinality(singleton(X0)),0) )
| ~ spl19_8 ),
inference(subsumption_resolution,[],[f1169,f516]) ).
tff(f516,plain,
! [X0: set] : ( empty_set = intersection(X0,empty_set) ),
inference(resolution,[],[f272,f104]) ).
tff(f1169,plain,
( ! [X0: element] :
( ( empty_set != intersection(singleton(X0),empty_set) )
| ( 1 = $sum(cardinality(singleton(X0)),0) ) )
| ~ spl19_8 ),
inference(evaluation,[],[f1154]) ).
tff(f1154,plain,
( ! [X0: element] :
( ( empty_set != intersection(singleton(X0),empty_set) )
| ( $sum(0,1) = $sum(cardinality(singleton(X0)),0) ) )
| ~ spl19_8 ),
inference(superposition,[],[f362,f150]) ).
tff(f150,plain,
( ( 0 = cardinality(empty_set) )
| ~ spl19_8 ),
inference(avatar_component_clause,[],[f149]) ).
tff(f362,plain,
! [X4: element,X5: set] :
( ( $sum(cardinality(X5),1) = $sum(cardinality(singleton(X4)),cardinality(X5)) )
| ( empty_set != intersection(singleton(X4),X5) ) ),
inference(duplicate_literal_removal,[],[f355]) ).
tff(f355,plain,
! [X4: element,X5: set] :
( ( empty_set != intersection(singleton(X4),X5) )
| ( $sum(cardinality(X5),1) = $sum(cardinality(singleton(X4)),cardinality(X5)) )
| ( empty_set != intersection(singleton(X4),X5) ) ),
inference(superposition,[],[f75,f84]) ).
tff(f75,plain,
! [X0: set,X1: element] :
( ( cardinality(union(singleton(X1),X0)) = $sum(cardinality(X0),1) )
| ( empty_set != intersection(singleton(X1),X0) ) ),
inference(cnf_transformation,[],[f49]) ).
tff(f49,plain,
! [X0: set,X1: element] :
( ( ( cardinality(union(singleton(X1),X0)) = $sum(cardinality(X0),1) )
| ( empty_set != intersection(singleton(X1),X0) ) )
& ( ( empty_set = intersection(singleton(X1),X0) )
| ( cardinality(union(singleton(X1),X0)) != $sum(cardinality(X0),1) ) ) ),
inference(rectify,[],[f48]) ).
tff(f48,plain,
! [X1: set,X0: element] :
( ( ( $sum(cardinality(X1),1) = cardinality(union(singleton(X0),X1)) )
| ( empty_set != intersection(singleton(X0),X1) ) )
& ( ( empty_set = intersection(singleton(X0),X1) )
| ( $sum(cardinality(X1),1) != cardinality(union(singleton(X0),X1)) ) ) ),
inference(nnf_transformation,[],[f31]) ).
tff(f31,plain,
! [X1: set,X0: element] :
( ( $sum(cardinality(X1),1) = cardinality(union(singleton(X0),X1)) )
<=> ( empty_set = intersection(singleton(X0),X1) ) ),
inference(rectify,[],[f10]) ).
tff(f10,axiom,
! [X1: element,X0: set] :
( ( empty_set = intersection(singleton(X1),X0) )
<=> ( cardinality(union(singleton(X1),X0)) = $sum(cardinality(X0),1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cardinality_intersection_2) ).
tff(f1485,plain,
( ~ spl19_110
| ~ spl19_4
| spl19_106 ),
inference(avatar_split_clause,[],[f1442,f1439,f133,f1483]) ).
tff(f1439,plain,
( spl19_106
<=> member(sK0(complement(sF18)),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_106])]) ).
tff(f1442,plain,
( ~ member(sK0(complement(sF18)),sK3)
| ~ spl19_4
| spl19_106 ),
inference(resolution,[],[f1440,f287]) ).
tff(f1440,plain,
( ~ member(sK0(complement(sF18)),sK5)
| spl19_106 ),
inference(avatar_component_clause,[],[f1439]) ).
tff(f1465,plain,
spl19_109,
inference(avatar_split_clause,[],[f1451,f1463]) ).
tff(f1463,plain,
( spl19_109
<=> ( empty_set = complement(complement(empty_set)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_109])]) ).
tff(f1451,plain,
empty_set = complement(complement(empty_set)),
inference(resolution,[],[f437,f104]) ).
tff(f437,plain,
! [X8: set] :
( member(sK0(complement(complement(X8))),X8)
| ( empty_set = complement(complement(X8)) ) ),
inference(resolution,[],[f219,f88]) ).
tff(f88,plain,
! [X0: set,X1: element] :
( member(X1,complement(X0))
| member(X1,X0) ),
inference(cnf_transformation,[],[f58]) ).
tff(f58,plain,
! [X0: set,X1: element] :
( ( ~ member(X1,complement(X0))
| ~ member(X1,X0) )
& ( member(X1,X0)
| member(X1,complement(X0)) ) ),
inference(rectify,[],[f57]) ).
tff(f57,plain,
! [X1: set,X0: element] :
( ( ~ member(X0,complement(X1))
| ~ member(X0,X1) )
& ( member(X0,X1)
| member(X0,complement(X1)) ) ),
inference(nnf_transformation,[],[f34]) ).
tff(f34,plain,
! [X1: set,X0: element] :
( ~ member(X0,complement(X1))
<=> member(X0,X1) ),
inference(rectify,[],[f7]) ).
tff(f7,axiom,
! [X1: element,X0: set] :
( ~ member(X1,complement(X0))
<=> member(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement) ).
tff(f219,plain,
! [X2: set] :
( ~ member(sK0(complement(X2)),X2)
| ( empty_set = complement(X2) ) ),
inference(resolution,[],[f89,f73]) ).
tff(f89,plain,
! [X0: set,X1: element] :
( ~ member(X1,complement(X0))
| ~ member(X1,X0) ),
inference(cnf_transformation,[],[f58]) ).
tff(f1450,plain,
( ~ spl19_108
| ~ spl19_15
| spl19_104 ),
inference(avatar_split_clause,[],[f1431,f1427,f177,f1448]) ).
tff(f1448,plain,
( spl19_108
<=> member(sK0(complement(sF14)),sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_108])]) ).
tff(f1427,plain,
( spl19_104
<=> member(sK0(complement(sF14)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_104])]) ).
tff(f1431,plain,
( ~ member(sK0(complement(sF14)),sF8)
| ~ spl19_15
| spl19_104 ),
inference(resolution,[],[f1428,f232]) ).
tff(f1428,plain,
( ~ member(sK0(complement(sF14)),sF10)
| spl19_104 ),
inference(avatar_component_clause,[],[f1427]) ).
tff(f1446,plain,
( ~ spl19_107
| ~ spl19_15
| spl19_104 ),
inference(avatar_split_clause,[],[f1430,f1427,f177,f1444]) ).
tff(f1444,plain,
( spl19_107
<=> member(sK0(complement(sF14)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_107])]) ).
tff(f1430,plain,
( ~ member(sK0(complement(sF14)),sK3)
| ~ spl19_15
| spl19_104 ),
inference(resolution,[],[f1428,f239]) ).
tff(f1441,plain,
( ~ spl19_106
| ~ spl19_14
| spl19_99 ),
inference(avatar_split_clause,[],[f1408,f1398,f173,f1439]) ).
tff(f1398,plain,
( spl19_99
<=> member(sK0(complement(sF18)),sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_99])]) ).
tff(f1408,plain,
( ~ member(sK0(complement(sF18)),sK5)
| ~ spl19_14
| spl19_99 ),
inference(resolution,[],[f1399,f238]) ).
tff(f1399,plain,
( ~ member(sK0(complement(sF18)),sF9)
| spl19_99 ),
inference(avatar_component_clause,[],[f1398]) ).
tff(f1435,plain,
( ~ spl19_105
| ~ spl19_14
| spl19_99 ),
inference(avatar_split_clause,[],[f1407,f1398,f173,f1433]) ).
tff(f1407,plain,
( ~ member(sK0(complement(sF18)),sF8)
| ~ spl19_14
| spl19_99 ),
inference(resolution,[],[f1399,f231]) ).
tff(f1429,plain,
( ~ spl19_104
| ~ spl19_16
| spl19_96 ),
inference(avatar_split_clause,[],[f1393,f1364,f181,f1427]) ).
tff(f1393,plain,
( ~ member(sK0(complement(sF14)),sF10)
| ~ spl19_16
| spl19_96 ),
inference(resolution,[],[f1365,f240]) ).
tff(f1425,plain,
( ~ spl19_103
| spl19_86
| ~ spl19_15 ),
inference(avatar_split_clause,[],[f672,f177,f1059,f1423]) ).
tff(f1059,plain,
( spl19_86
<=> ( empty_set = complement(sF10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_86])]) ).
tff(f672,plain,
( ( empty_set = complement(sF10) )
| ~ member(sK0(complement(sF10)),sK3)
| ~ spl19_15 ),
inference(resolution,[],[f239,f219]) ).
tff(f1416,plain,
( ~ spl19_102
| spl19_97
| ~ spl19_19 ),
inference(avatar_split_clause,[],[f449,f193,f1376,f1414]) ).
tff(f1376,plain,
( spl19_97
<=> ( empty_set = complement(sF18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_97])]) ).
tff(f449,plain,
( ( empty_set = complement(sF18) )
| ~ member(sK0(complement(sF18)),sF11)
| ~ spl19_19 ),
inference(resolution,[],[f219,f234]) ).
tff(f1412,plain,
( ~ spl19_101
| ~ spl19_16
| spl19_96 ),
inference(avatar_split_clause,[],[f1392,f1364,f181,f1410]) ).
tff(f1410,plain,
( spl19_101
<=> member(sK0(complement(sF14)),sF11) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_101])]) ).
tff(f1392,plain,
( ~ member(sK0(complement(sF14)),sF11)
| ~ spl19_16
| spl19_96 ),
inference(resolution,[],[f1365,f233]) ).
tff(f1404,plain,
( ~ spl19_100
| spl19_95
| ~ spl19_17 ),
inference(avatar_split_clause,[],[f447,f185,f1361,f1402]) ).
tff(f1361,plain,
( spl19_95
<=> ( empty_set = complement(sF14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_95])]) ).
tff(f447,plain,
( ( empty_set = complement(sF14) )
| ~ member(sK0(complement(sF14)),sF13)
| ~ spl19_17 ),
inference(resolution,[],[f219,f235]) ).
tff(f1400,plain,
( ~ spl19_99
| ~ spl19_5
| spl19_98 ),
inference(avatar_split_clause,[],[f1396,f1379,f137,f1398]) ).
tff(f1396,plain,
( ~ member(sK0(complement(sF18)),sF9)
| ~ spl19_5
| spl19_98 ),
inference(resolution,[],[f1380,f288]) ).
tff(f1395,plain,
( ~ spl19_56
| ~ spl19_8
| ~ spl19_11 ),
inference(avatar_split_clause,[],[f1259,f161,f149,f761]) ).
tff(f761,plain,
( spl19_56
<=> ( empty_set = sF13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_56])]) ).
tff(f1259,plain,
( ( empty_set != sF13 )
| ~ spl19_8
| ~ spl19_11 ),
inference(superposition,[],[f1256,f162]) ).
tff(f1256,plain,
( ! [X0: element] : ( empty_set != singleton(X0) )
| ~ spl19_8 ),
inference(forward_demodulation,[],[f1255,f516]) ).
tff(f1255,plain,
( ! [X0: element] : ( intersection(singleton(X0),empty_set) != singleton(X0) )
| ~ spl19_8 ),
inference(subsumption_resolution,[],[f1252,f516]) ).
tff(f1252,plain,
( ! [X0: element] :
( ( intersection(singleton(X0),empty_set) != singleton(X0) )
| ( empty_set != intersection(singleton(X0),empty_set) ) )
| ~ spl19_8 ),
inference(evaluation,[],[f1232]) ).
tff(f1232,plain,
( ! [X0: element] :
( ( empty_set != intersection(singleton(X0),empty_set) )
| ( intersection(singleton(X0),empty_set) != singleton(X0) )
| ( 0 = $sum(0,1) ) )
| ~ spl19_8 ),
inference(superposition,[],[f354,f150]) ).
tff(f354,plain,
! [X2: element,X3: set] :
( ( cardinality(X3) = $sum(cardinality(X3),1) )
| ( singleton(X2) != intersection(singleton(X2),X3) )
| ( empty_set != intersection(singleton(X2),X3) ) ),
inference(superposition,[],[f75,f94]) ).
tff(f94,plain,
! [X0: set,X1: element] :
( ( cardinality(X0) = cardinality(union(singleton(X1),X0)) )
| ( singleton(X1) != intersection(singleton(X1),X0) ) ),
inference(cnf_transformation,[],[f63]) ).
tff(f63,plain,
! [X0: set,X1: element] :
( ( ( cardinality(X0) = cardinality(union(singleton(X1),X0)) )
| ( singleton(X1) != intersection(singleton(X1),X0) ) )
& ( ( singleton(X1) = intersection(singleton(X1),X0) )
| ( cardinality(X0) != cardinality(union(singleton(X1),X0)) ) ) ),
inference(rectify,[],[f62]) ).
tff(f62,plain,
! [X1: set,X0: element] :
( ( ( cardinality(X1) = cardinality(union(singleton(X0),X1)) )
| ( singleton(X0) != intersection(singleton(X0),X1) ) )
& ( ( singleton(X0) = intersection(singleton(X0),X1) )
| ( cardinality(X1) != cardinality(union(singleton(X0),X1)) ) ) ),
inference(nnf_transformation,[],[f36]) ).
tff(f36,plain,
! [X1: set,X0: element] :
( ( cardinality(X1) = cardinality(union(singleton(X0),X1)) )
<=> ( singleton(X0) = intersection(singleton(X0),X1) ) ),
inference(rectify,[],[f9]) ).
tff(f9,axiom,
! [X1: element,X0: set] :
( ( singleton(X1) = intersection(singleton(X1),X0) )
<=> ( cardinality(X0) = cardinality(union(singleton(X1),X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cardinality_intersection_1) ).
tff(f1391,plain,
( spl19_71
| ~ spl19_97 ),
inference(avatar_contradiction_clause,[],[f1386]) ).
tff(f1386,plain,
( $false
| spl19_71
| ~ spl19_97 ),
inference(resolution,[],[f1385,f871]) ).
tff(f871,plain,
( ~ member(sK0(complement(sK6)),sF18)
| spl19_71 ),
inference(avatar_component_clause,[],[f870]) ).
tff(f870,plain,
( spl19_71
<=> member(sK0(complement(sK6)),sF18) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_71])]) ).
tff(f1385,plain,
( ! [X1: element] : member(X1,sF18)
| ~ spl19_97 ),
inference(subsumption_resolution,[],[f1384,f104]) ).
tff(f1384,plain,
( ! [X1: element] :
( member(X1,empty_set)
| member(X1,sF18) )
| ~ spl19_97 ),
inference(superposition,[],[f88,f1377]) ).
tff(f1377,plain,
( ( empty_set = complement(sF18) )
| ~ spl19_97 ),
inference(avatar_component_clause,[],[f1376]) ).
tff(f1390,plain,
( spl19_30
| ~ spl19_97 ),
inference(avatar_contradiction_clause,[],[f1389]) ).
tff(f1389,plain,
( $false
| spl19_30
| ~ spl19_97 ),
inference(resolution,[],[f1385,f323]) ).
tff(f323,plain,
( ~ member(sK2,sF18)
| spl19_30 ),
inference(avatar_component_clause,[],[f322]) ).
tff(f322,plain,
( spl19_30
<=> member(sK2,sF18) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_30])]) ).
tff(f1381,plain,
( spl19_97
| ~ spl19_98
| ~ spl19_19 ),
inference(avatar_split_clause,[],[f448,f193,f1379,f1376]) ).
tff(f448,plain,
( ~ member(sK0(complement(sF18)),sK1)
| ( empty_set = complement(sF18) )
| ~ spl19_19 ),
inference(resolution,[],[f219,f241]) ).
tff(f1374,plain,
( ~ spl19_46
| ~ spl19_8
| ~ spl19_9 ),
inference(avatar_split_clause,[],[f1258,f153,f149,f591]) ).
tff(f1258,plain,
( ( empty_set != sF8 )
| ~ spl19_8
| ~ spl19_9 ),
inference(superposition,[],[f1256,f154]) ).
tff(f1366,plain,
( spl19_95
| ~ spl19_96
| ~ spl19_17 ),
inference(avatar_split_clause,[],[f446,f185,f1364,f1361]) ).
tff(f446,plain,
( ~ member(sK0(complement(sF14)),sF12)
| ( empty_set = complement(sF14) )
| ~ spl19_17 ),
inference(resolution,[],[f219,f242]) ).
tff(f1356,plain,
( ~ spl19_94
| spl19_88
| ~ spl19_16 ),
inference(avatar_split_clause,[],[f445,f181,f1080,f1354]) ).
tff(f1080,plain,
( spl19_88
<=> ( empty_set = complement(sF12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_88])]) ).
tff(f445,plain,
( ( empty_set = complement(sF12) )
| ~ member(sK0(complement(sF12)),sF11)
| ~ spl19_16 ),
inference(resolution,[],[f219,f233]) ).
tff(f1332,plain,
( ~ spl19_52
| ~ spl19_8
| ~ spl19_10 ),
inference(avatar_split_clause,[],[f1257,f157,f149,f687]) ).
tff(f1257,plain,
( ( empty_set != sF11 )
| ~ spl19_8
| ~ spl19_10 ),
inference(superposition,[],[f1256,f158]) ).
tff(f1213,plain,
( spl19_93
| ~ spl19_8
| ~ spl19_9 ),
inference(avatar_split_clause,[],[f1183,f153,f149,f1211]) ).
tff(f1211,plain,
( spl19_93
<=> ( 1 = $sum(cardinality(sF8),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_93])]) ).
tff(f1183,plain,
( ( 1 = $sum(cardinality(sF8),0) )
| ~ spl19_8
| ~ spl19_9 ),
inference(superposition,[],[f1175,f154]) ).
tff(f1188,plain,
( spl19_92
| ~ spl19_8
| ~ spl19_10 ),
inference(avatar_split_clause,[],[f1182,f157,f149,f1186]) ).
tff(f1186,plain,
( spl19_92
<=> ( 1 = $sum(cardinality(sF11),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_92])]) ).
tff(f1182,plain,
( ( 1 = $sum(cardinality(sF11),0) )
| ~ spl19_8
| ~ spl19_10 ),
inference(superposition,[],[f1175,f158]) ).
tff(f1179,plain,
( ~ spl19_91
| ~ spl19_15
| spl19_89 ),
inference(avatar_split_clause,[],[f1095,f1083,f177,f1177]) ).
tff(f1177,plain,
( spl19_91
<=> member(sK0(complement(sF12)),sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_91])]) ).
tff(f1095,plain,
( ~ member(sK0(complement(sF12)),sF8)
| ~ spl19_15
| spl19_89 ),
inference(resolution,[],[f1084,f232]) ).
tff(f1099,plain,
( ~ spl19_90
| ~ spl19_15
| spl19_89 ),
inference(avatar_split_clause,[],[f1094,f1083,f177,f1097]) ).
tff(f1097,plain,
( spl19_90
<=> member(sK0(complement(sF12)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_90])]) ).
tff(f1094,plain,
( ~ member(sK0(complement(sF12)),sK3)
| ~ spl19_15
| spl19_89 ),
inference(resolution,[],[f1084,f239]) ).
tff(f1093,plain,
( spl19_54
| ~ spl19_88 ),
inference(avatar_contradiction_clause,[],[f1092]) ).
tff(f1092,plain,
( $false
| spl19_54
| ~ spl19_88 ),
inference(resolution,[],[f1089,f751]) ).
tff(f1089,plain,
( ! [X1: element] : member(X1,sF12)
| ~ spl19_88 ),
inference(subsumption_resolution,[],[f1088,f104]) ).
tff(f1088,plain,
( ! [X1: element] :
( member(X1,empty_set)
| member(X1,sF12) )
| ~ spl19_88 ),
inference(superposition,[],[f88,f1081]) ).
tff(f1081,plain,
( ( empty_set = complement(sF12) )
| ~ spl19_88 ),
inference(avatar_component_clause,[],[f1080]) ).
tff(f1085,plain,
( spl19_88
| ~ spl19_89
| ~ spl19_16 ),
inference(avatar_split_clause,[],[f444,f181,f1083,f1080]) ).
tff(f444,plain,
( ~ member(sK0(complement(sF12)),sF10)
| ( empty_set = complement(sF12) )
| ~ spl19_16 ),
inference(resolution,[],[f219,f240]) ).
tff(f1076,plain,
( spl19_84
| ~ spl19_86 ),
inference(avatar_contradiction_clause,[],[f1069]) ).
tff(f1069,plain,
( $false
| spl19_84
| ~ spl19_86 ),
inference(resolution,[],[f1068,f1018]) ).
tff(f1018,plain,
( ~ member(sK0(complement(sF9)),sF10)
| spl19_84 ),
inference(avatar_component_clause,[],[f1017]) ).
tff(f1017,plain,
( spl19_84
<=> member(sK0(complement(sF9)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_84])]) ).
tff(f1068,plain,
( ! [X1: element] : member(X1,sF10)
| ~ spl19_86 ),
inference(subsumption_resolution,[],[f1067,f104]) ).
tff(f1067,plain,
( ! [X1: element] :
( member(X1,sF10)
| member(X1,empty_set) )
| ~ spl19_86 ),
inference(superposition,[],[f88,f1060]) ).
tff(f1060,plain,
( ( empty_set = complement(sF10) )
| ~ spl19_86 ),
inference(avatar_component_clause,[],[f1059]) ).
tff(f1075,plain,
( spl19_45
| ~ spl19_86 ),
inference(avatar_contradiction_clause,[],[f1072]) ).
tff(f1072,plain,
( $false
| spl19_45
| ~ spl19_86 ),
inference(resolution,[],[f1068,f577]) ).
tff(f577,plain,
( ~ member(sK2,sF10)
| spl19_45 ),
inference(avatar_component_clause,[],[f576]) ).
tff(f1074,plain,
( spl19_41
| ~ spl19_86 ),
inference(avatar_contradiction_clause,[],[f1073]) ).
tff(f1073,plain,
( $false
| spl19_41
| ~ spl19_86 ),
inference(resolution,[],[f1068,f460]) ).
tff(f1064,plain,
( spl19_86
| ~ spl19_87
| ~ spl19_15 ),
inference(avatar_split_clause,[],[f443,f177,f1062,f1059]) ).
tff(f443,plain,
( ~ member(sK0(complement(sF10)),sF8)
| ( empty_set = complement(sF10) )
| ~ spl19_15 ),
inference(resolution,[],[f219,f232]) ).
tff(f1055,plain,
( ~ spl19_85
| ~ spl19_14
| spl19_81
| spl19_83 ),
inference(avatar_split_clause,[],[f1015,f1005,f980,f173,f1053]) ).
tff(f1053,plain,
( spl19_85
<=> member(sK0(complement(sF9)),sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_85])]) ).
tff(f980,plain,
( spl19_81
<=> member(sK0(complement(sF9)),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_81])]) ).
tff(f1005,plain,
( spl19_83
<=> member(sK0(complement(sF9)),sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_83])]) ).
tff(f1015,plain,
( ~ member(sK0(complement(sF9)),sF9)
| ~ spl19_14
| spl19_81
| spl19_83 ),
inference(subsumption_resolution,[],[f1013,f981]) ).
tff(f981,plain,
( ~ member(sK0(complement(sF9)),sK5)
| spl19_81 ),
inference(avatar_component_clause,[],[f980]) ).
tff(f1013,plain,
( ~ member(sK0(complement(sF9)),sF9)
| member(sK0(complement(sF9)),sK5)
| ~ spl19_14
| spl19_83 ),
inference(resolution,[],[f1006,f300]) ).
tff(f300,plain,
( ! [X0: element] :
( member(X0,sF8)
| member(X0,sK5)
| ~ member(X0,sF9) )
| ~ spl19_14 ),
inference(superposition,[],[f90,f174]) ).
tff(f1006,plain,
( ~ member(sK0(complement(sF9)),sF8)
| spl19_83 ),
inference(avatar_component_clause,[],[f1005]) ).
tff(f1019,plain,
( ~ spl19_84
| ~ spl19_15
| spl19_82
| spl19_83 ),
inference(avatar_split_clause,[],[f1014,f1005,f1001,f177,f1017]) ).
tff(f1001,plain,
( spl19_82
<=> member(sK0(complement(sF9)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_82])]) ).
tff(f1014,plain,
( ~ member(sK0(complement(sF9)),sF10)
| ~ spl19_15
| spl19_82
| spl19_83 ),
inference(subsumption_resolution,[],[f1012,f1002]) ).
tff(f1002,plain,
( ~ member(sK0(complement(sF9)),sK3)
| spl19_82 ),
inference(avatar_component_clause,[],[f1001]) ).
tff(f1012,plain,
( ~ member(sK0(complement(sF9)),sF10)
| member(sK0(complement(sF9)),sK3)
| ~ spl19_15
| spl19_83 ),
inference(resolution,[],[f1006,f301]) ).
tff(f1007,plain,
( ~ spl19_83
| spl19_80
| ~ spl19_14 ),
inference(avatar_split_clause,[],[f442,f173,f977,f1005]) ).
tff(f977,plain,
( spl19_80
<=> ( empty_set = complement(sF9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_80])]) ).
tff(f442,plain,
( ( empty_set = complement(sF9) )
| ~ member(sK0(complement(sF9)),sF8)
| ~ spl19_14 ),
inference(resolution,[],[f219,f231]) ).
tff(f1003,plain,
( ~ spl19_82
| ~ spl19_4
| spl19_81 ),
inference(avatar_split_clause,[],[f999,f980,f133,f1001]) ).
tff(f999,plain,
( ~ member(sK0(complement(sF9)),sK3)
| ~ spl19_4
| spl19_81 ),
inference(resolution,[],[f981,f287]) ).
tff(f996,plain,
( spl19_65
| ~ spl19_80 ),
inference(avatar_contradiction_clause,[],[f987]) ).
tff(f987,plain,
( $false
| spl19_65
| ~ spl19_80 ),
inference(resolution,[],[f986,f841]) ).
tff(f841,plain,
( ~ member(sK0(complement(sK1)),sF9)
| spl19_65 ),
inference(avatar_component_clause,[],[f840]) ).
tff(f840,plain,
( spl19_65
<=> member(sK0(complement(sK1)),sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_65])]) ).
tff(f986,plain,
( ! [X1: element] : member(X1,sF9)
| ~ spl19_80 ),
inference(subsumption_resolution,[],[f985,f104]) ).
tff(f985,plain,
( ! [X1: element] :
( member(X1,sF9)
| member(X1,empty_set) )
| ~ spl19_80 ),
inference(superposition,[],[f88,f978]) ).
tff(f978,plain,
( ( empty_set = complement(sF9) )
| ~ spl19_80 ),
inference(avatar_component_clause,[],[f977]) ).
tff(f995,plain,
( spl19_29
| ~ spl19_80 ),
inference(avatar_contradiction_clause,[],[f992]) ).
tff(f992,plain,
( $false
| spl19_29
| ~ spl19_80 ),
inference(resolution,[],[f986,f311]) ).
tff(f311,plain,
( ~ member(sK7,sF9)
| spl19_29 ),
inference(avatar_component_clause,[],[f310]) ).
tff(f310,plain,
( spl19_29
<=> member(sK7,sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_29])]) ).
tff(f994,plain,
( spl19_42
| ~ spl19_80 ),
inference(avatar_contradiction_clause,[],[f991]) ).
tff(f991,plain,
( $false
| spl19_42
| ~ spl19_80 ),
inference(resolution,[],[f986,f465]) ).
tff(f465,plain,
( ~ member(sK2,sF9)
| spl19_42 ),
inference(avatar_component_clause,[],[f464]) ).
tff(f464,plain,
( spl19_42
<=> member(sK2,sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_42])]) ).
tff(f993,plain,
( spl19_74
| ~ spl19_80 ),
inference(avatar_contradiction_clause,[],[f988]) ).
tff(f988,plain,
( $false
| spl19_74
| ~ spl19_80 ),
inference(resolution,[],[f986,f938]) ).
tff(f938,plain,
( ~ member(sK0(complement(sK6)),sF9)
| spl19_74 ),
inference(avatar_component_clause,[],[f937]) ).
tff(f937,plain,
( spl19_74
<=> member(sK0(complement(sK6)),sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_74])]) ).
tff(f982,plain,
( spl19_80
| ~ spl19_81
| ~ spl19_14 ),
inference(avatar_split_clause,[],[f441,f173,f980,f977]) ).
tff(f441,plain,
( ~ member(sK0(complement(sF9)),sK5)
| ( empty_set = complement(sF9) )
| ~ spl19_14 ),
inference(resolution,[],[f219,f238]) ).
tff(f975,plain,
( ~ spl19_78
| spl19_79
| ~ spl19_4 ),
inference(avatar_split_clause,[],[f646,f133,f973,f970]) ).
tff(f970,plain,
( spl19_78
<=> member(sK0(complement(sK5)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_78])]) ).
tff(f973,plain,
( spl19_79
<=> ( empty_set = complement(sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_79])]) ).
tff(f646,plain,
( ( empty_set = complement(sK5) )
| ~ member(sK0(complement(sK5)),sK3)
| ~ spl19_4 ),
inference(resolution,[],[f287,f219]) ).
tff(f968,plain,
( ~ spl19_63
| ~ spl19_12
| ~ spl19_17
| spl19_64 ),
inference(avatar_split_clause,[],[f957,f808,f185,f165,f805]) ).
tff(f165,plain,
( spl19_12
<=> ( sF15 = cardinality(sF14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_12])]) ).
tff(f808,plain,
( spl19_64
<=> ( sF15 = $sum(cardinality(sF12),cardinality(sF13)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_64])]) ).
tff(f957,plain,
( ( empty_set != intersection(sF12,sF13) )
| ~ spl19_12
| ~ spl19_17
| spl19_64 ),
inference(subsumption_resolution,[],[f333,f809]) ).
tff(f809,plain,
( ( sF15 != $sum(cardinality(sF12),cardinality(sF13)) )
| spl19_64 ),
inference(avatar_component_clause,[],[f808]) ).
tff(f333,plain,
( ( sF15 = $sum(cardinality(sF12),cardinality(sF13)) )
| ( empty_set != intersection(sF12,sF13) )
| ~ spl19_12
| ~ spl19_17 ),
inference(forward_demodulation,[],[f329,f166]) ).
tff(f166,plain,
( ( sF15 = cardinality(sF14) )
| ~ spl19_12 ),
inference(avatar_component_clause,[],[f165]) ).
tff(f329,plain,
( ( $sum(cardinality(sF12),cardinality(sF13)) = cardinality(sF14) )
| ( empty_set != intersection(sF12,sF13) )
| ~ spl19_17 ),
inference(superposition,[],[f84,f186]) ).
tff(f966,plain,
( ~ spl19_77
| ~ spl19_4
| spl19_76 ),
inference(avatar_split_clause,[],[f962,f959,f133,f964]) ).
tff(f959,plain,
( spl19_76
<=> member(sK0(complement(sK6)),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_76])]) ).
tff(f962,plain,
( ~ member(sK0(complement(sK6)),sK3)
| ~ spl19_4
| spl19_76 ),
inference(resolution,[],[f960,f287]) ).
tff(f960,plain,
( ~ member(sK0(complement(sK6)),sK5)
| spl19_76 ),
inference(avatar_component_clause,[],[f959]) ).
tff(f961,plain,
( ~ spl19_76
| ~ spl19_14
| spl19_74 ),
inference(avatar_split_clause,[],[f941,f937,f173,f959]) ).
tff(f941,plain,
( ~ member(sK0(complement(sK6)),sK5)
| ~ spl19_14
| spl19_74 ),
inference(resolution,[],[f938,f238]) ).
tff(f956,plain,
( ~ spl19_61
| ~ spl19_13
| ~ spl19_15
| spl19_62 ),
inference(avatar_split_clause,[],[f954,f793,f177,f169,f790]) ).
tff(f169,plain,
( spl19_13
<=> ( sF16 = cardinality(sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_13])]) ).
tff(f793,plain,
( spl19_62
<=> ( cardinality(sF10) = $sum(sF16,cardinality(sF8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_62])]) ).
tff(f954,plain,
( ( empty_set != intersection(sK3,sF8) )
| ~ spl19_13
| ~ spl19_15
| spl19_62 ),
inference(subsumption_resolution,[],[f332,f794]) ).
tff(f794,plain,
( ( cardinality(sF10) != $sum(sF16,cardinality(sF8)) )
| spl19_62 ),
inference(avatar_component_clause,[],[f793]) ).
tff(f332,plain,
( ( empty_set != intersection(sK3,sF8) )
| ( cardinality(sF10) = $sum(sF16,cardinality(sF8)) )
| ~ spl19_13
| ~ spl19_15 ),
inference(forward_demodulation,[],[f326,f170]) ).
tff(f170,plain,
( ( sF16 = cardinality(sK3) )
| ~ spl19_13 ),
inference(avatar_component_clause,[],[f169]) ).
tff(f326,plain,
( ( empty_set != intersection(sK3,sF8) )
| ( cardinality(sF10) = $sum(cardinality(sK3),cardinality(sF8)) )
| ~ spl19_15 ),
inference(superposition,[],[f84,f178]) ).
tff(f945,plain,
( ~ spl19_75
| ~ spl19_14
| spl19_74 ),
inference(avatar_split_clause,[],[f940,f937,f173,f943]) ).
tff(f940,plain,
( ~ member(sK0(complement(sK6)),sF8)
| ~ spl19_14
| spl19_74 ),
inference(resolution,[],[f938,f231]) ).
tff(f939,plain,
( ~ spl19_74
| ~ spl19_5
| spl19_73 ),
inference(avatar_split_clause,[],[f932,f929,f137,f937]) ).
tff(f929,plain,
( spl19_73
<=> member(sK0(complement(sK6)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_73])]) ).
tff(f932,plain,
( ~ member(sK0(complement(sK6)),sF9)
| ~ spl19_5
| spl19_73 ),
inference(resolution,[],[f930,f288]) ).
tff(f930,plain,
( ~ member(sK0(complement(sK6)),sK1)
| spl19_73 ),
inference(avatar_component_clause,[],[f929]) ).
tff(f931,plain,
( ~ spl19_73
| ~ spl19_19
| spl19_71 ),
inference(avatar_split_clause,[],[f921,f870,f193,f929]) ).
tff(f921,plain,
( ~ member(sK0(complement(sK6)),sK1)
| ~ spl19_19
| spl19_71 ),
inference(resolution,[],[f871,f241]) ).
tff(f925,plain,
( ~ spl19_72
| ~ spl19_19
| spl19_71 ),
inference(avatar_split_clause,[],[f920,f870,f193,f923]) ).
tff(f923,plain,
( spl19_72
<=> member(sK0(complement(sK6)),sF11) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_72])]) ).
tff(f920,plain,
( ~ member(sK0(complement(sK6)),sF11)
| ~ spl19_19
| spl19_71 ),
inference(resolution,[],[f871,f234]) ).
tff(f896,plain,
( ~ spl19_22
| ~ spl19_56 ),
inference(avatar_contradiction_clause,[],[f895]) ).
tff(f895,plain,
( $false
| ~ spl19_22
| ~ spl19_56 ),
inference(subsumption_resolution,[],[f886,f104]) ).
tff(f886,plain,
( member(sK2,empty_set)
| ~ spl19_22
| ~ spl19_56 ),
inference(backward_demodulation,[],[f209,f762]) ).
tff(f762,plain,
( ( empty_set = sF13 )
| ~ spl19_56 ),
inference(avatar_component_clause,[],[f761]) ).
tff(f209,plain,
( member(sK2,sF13)
| ~ spl19_22 ),
inference(avatar_component_clause,[],[f208]) ).
tff(f208,plain,
( spl19_22
<=> member(sK2,sF13) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_22])]) ).
tff(f883,plain,
( spl19_2
| ~ spl19_70 ),
inference(avatar_contradiction_clause,[],[f882]) ).
tff(f882,plain,
( $false
| spl19_2
| ~ spl19_70 ),
inference(resolution,[],[f876,f126]) ).
tff(f126,plain,
( ~ member(sK2,sK6)
| spl19_2 ),
inference(avatar_component_clause,[],[f125]) ).
tff(f125,plain,
( spl19_2
<=> member(sK2,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_2])]) ).
tff(f876,plain,
( ! [X1: element] : member(X1,sK6)
| ~ spl19_70 ),
inference(subsumption_resolution,[],[f875,f104]) ).
tff(f875,plain,
( ! [X1: element] :
( member(X1,sK6)
| member(X1,empty_set) )
| ~ spl19_70 ),
inference(superposition,[],[f88,f868]) ).
tff(f868,plain,
( ( empty_set = complement(sK6) )
| ~ spl19_70 ),
inference(avatar_component_clause,[],[f867]) ).
tff(f867,plain,
( spl19_70
<=> ( empty_set = complement(sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_70])]) ).
tff(f879,plain,
( ~ spl19_60
| ~ spl19_19
| spl19_59 ),
inference(avatar_split_clause,[],[f877,f783,f193,f786]) ).
tff(f783,plain,
( spl19_59
<=> ( $sum(cardinality(sK1),cardinality(sF11)) = cardinality(sF18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_59])]) ).
tff(f877,plain,
( ( empty_set != intersection(sK1,sF11) )
| ~ spl19_19
| spl19_59 ),
inference(subsumption_resolution,[],[f328,f784]) ).
tff(f784,plain,
( ( $sum(cardinality(sK1),cardinality(sF11)) != cardinality(sF18) )
| spl19_59 ),
inference(avatar_component_clause,[],[f783]) ).
tff(f328,plain,
( ( $sum(cardinality(sK1),cardinality(sF11)) = cardinality(sF18) )
| ( empty_set != intersection(sK1,sF11) )
| ~ spl19_19 ),
inference(superposition,[],[f84,f194]) ).
tff(f872,plain,
( spl19_70
| ~ spl19_71
| ~ spl19_7 ),
inference(avatar_split_clause,[],[f439,f145,f870,f867]) ).
tff(f439,plain,
( ~ member(sK0(complement(sK6)),sF18)
| ( empty_set = complement(sK6) )
| ~ spl19_7 ),
inference(resolution,[],[f219,f289]) ).
tff(f865,plain,
( ~ spl19_58
| ~ spl19_16
| spl19_57 ),
inference(avatar_split_clause,[],[f863,f776,f181,f779]) ).
tff(f863,plain,
( ( empty_set != intersection(sF10,sF11) )
| ~ spl19_16
| spl19_57 ),
inference(subsumption_resolution,[],[f327,f777]) ).
tff(f777,plain,
( ( $sum(cardinality(sF10),cardinality(sF11)) != cardinality(sF12) )
| spl19_57 ),
inference(avatar_component_clause,[],[f776]) ).
tff(f862,plain,
( ~ spl19_69
| ~ spl19_4
| spl19_68 ),
inference(avatar_split_clause,[],[f858,f855,f133,f860]) ).
tff(f855,plain,
( spl19_68
<=> member(sK0(complement(sK1)),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_68])]) ).
tff(f858,plain,
( ~ member(sK0(complement(sK1)),sK3)
| ~ spl19_4
| spl19_68 ),
inference(resolution,[],[f856,f287]) ).
tff(f856,plain,
( ~ member(sK0(complement(sK1)),sK5)
| spl19_68 ),
inference(avatar_component_clause,[],[f855]) ).
tff(f857,plain,
( ~ spl19_68
| ~ spl19_14
| spl19_65 ),
inference(avatar_split_clause,[],[f847,f840,f173,f855]) ).
tff(f847,plain,
( ~ member(sK0(complement(sK1)),sK5)
| ~ spl19_14
| spl19_65 ),
inference(resolution,[],[f841,f238]) ).
tff(f851,plain,
( ~ spl19_67
| ~ spl19_14
| spl19_65 ),
inference(avatar_split_clause,[],[f846,f840,f173,f849]) ).
tff(f846,plain,
( ~ member(sK0(complement(sK1)),sF8)
| ~ spl19_14
| spl19_65 ),
inference(resolution,[],[f841,f231]) ).
tff(f845,plain,
( ~ spl19_65
| spl19_66
| ~ spl19_5 ),
inference(avatar_split_clause,[],[f438,f137,f843,f840]) ).
tff(f843,plain,
( spl19_66
<=> ( empty_set = complement(sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_66])]) ).
tff(f438,plain,
( ( empty_set = complement(sK1) )
| ~ member(sK0(complement(sK1)),sF9)
| ~ spl19_5 ),
inference(resolution,[],[f219,f288]) ).
tff(f829,plain,
( ~ spl19_49
| ~ spl19_14
| spl19_48 ),
inference(avatar_split_clause,[],[f827,f598,f173,f601]) ).
tff(f827,plain,
( ( empty_set != intersection(sK5,sF8) )
| ~ spl19_14
| spl19_48 ),
inference(subsumption_resolution,[],[f325,f599]) ).
tff(f599,plain,
( ( $sum(cardinality(sK5),cardinality(sF8)) != cardinality(sF9) )
| spl19_48 ),
inference(avatar_component_clause,[],[f598]) ).
tff(f810,plain,
( spl19_63
| ~ spl19_64
| ~ spl19_12
| ~ spl19_17 ),
inference(avatar_split_clause,[],[f319,f185,f165,f808,f805]) ).
tff(f319,plain,
( ( sF15 != $sum(cardinality(sF12),cardinality(sF13)) )
| ( empty_set = intersection(sF12,sF13) )
| ~ spl19_12
| ~ spl19_17 ),
inference(forward_demodulation,[],[f317,f166]) ).
tff(f317,plain,
( ( empty_set = intersection(sF12,sF13) )
| ( $sum(cardinality(sF12),cardinality(sF13)) != cardinality(sF14) )
| ~ spl19_17 ),
inference(superposition,[],[f83,f186]) ).
tff(f83,plain,
! [X0: set,X1: set] :
( ( cardinality(union(X1,X0)) != $sum(cardinality(X1),cardinality(X0)) )
| ( empty_set = intersection(X1,X0) ) ),
inference(cnf_transformation,[],[f54]) ).
tff(f795,plain,
( spl19_61
| ~ spl19_62
| ~ spl19_13
| ~ spl19_15 ),
inference(avatar_split_clause,[],[f318,f177,f169,f793,f790]) ).
tff(f318,plain,
( ( cardinality(sF10) != $sum(sF16,cardinality(sF8)) )
| ( empty_set = intersection(sK3,sF8) )
| ~ spl19_13
| ~ spl19_15 ),
inference(forward_demodulation,[],[f314,f170]) ).
tff(f314,plain,
( ( cardinality(sF10) != $sum(cardinality(sK3),cardinality(sF8)) )
| ( empty_set = intersection(sK3,sF8) )
| ~ spl19_15 ),
inference(superposition,[],[f83,f178]) ).
tff(f788,plain,
( ~ spl19_59
| spl19_60
| ~ spl19_19 ),
inference(avatar_split_clause,[],[f316,f193,f786,f783]) ).
tff(f316,plain,
( ( empty_set = intersection(sK1,sF11) )
| ( $sum(cardinality(sK1),cardinality(sF11)) != cardinality(sF18) )
| ~ spl19_19 ),
inference(superposition,[],[f83,f194]) ).
tff(f781,plain,
( ~ spl19_57
| spl19_58
| ~ spl19_16 ),
inference(avatar_split_clause,[],[f315,f181,f779,f776]) ).
tff(f315,plain,
( ( empty_set = intersection(sF10,sF11) )
| ( $sum(cardinality(sF10),cardinality(sF11)) != cardinality(sF12) )
| ~ spl19_16 ),
inference(superposition,[],[f83,f182]) ).
tff(f763,plain,
( spl19_55
| spl19_56
| ~ spl19_11 ),
inference(avatar_split_clause,[],[f243,f161,f761,f758]) ).
tff(f758,plain,
( spl19_55
<=> ( sK2 = sK0(sF13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_55])]) ).
tff(f243,plain,
( ( empty_set = sF13 )
| ( sK2 = sK0(sF13) )
| ~ spl19_11 ),
inference(resolution,[],[f215,f73]) ).
tff(f752,plain,
( ~ spl19_54
| ~ spl19_16
| spl19_38
| spl19_45 ),
inference(avatar_split_clause,[],[f744,f576,f417,f181,f750]) ).
tff(f417,plain,
( spl19_38
<=> member(sK2,sF11) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_38])]) ).
tff(f744,plain,
( ~ member(sK2,sF12)
| ~ spl19_16
| spl19_38
| spl19_45 ),
inference(subsumption_resolution,[],[f743,f577]) ).
tff(f743,plain,
( member(sK2,sF10)
| ~ member(sK2,sF12)
| ~ spl19_16
| spl19_38 ),
inference(resolution,[],[f302,f418]) ).
tff(f418,plain,
( ~ member(sK2,sF11)
| spl19_38 ),
inference(avatar_component_clause,[],[f417]) ).
tff(f709,plain,
( ~ spl19_21
| ~ spl19_52 ),
inference(avatar_contradiction_clause,[],[f708]) ).
tff(f708,plain,
( $false
| ~ spl19_21
| ~ spl19_52 ),
inference(subsumption_resolution,[],[f696,f104]) ).
tff(f696,plain,
( member(sK7,empty_set)
| ~ spl19_21
| ~ spl19_52 ),
inference(backward_demodulation,[],[f205,f688]) ).
tff(f688,plain,
( ( empty_set = sF11 )
| ~ spl19_52 ),
inference(avatar_component_clause,[],[f687]) ).
tff(f692,plain,
( spl19_52
| spl19_53
| ~ spl19_10 ),
inference(avatar_split_clause,[],[f236,f157,f690,f687]) ).
tff(f690,plain,
( spl19_53
<=> ( sK0(sF11) = sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_53])]) ).
tff(f236,plain,
( ( sK0(sF11) = sK7 )
| ( empty_set = sF11 )
| ~ spl19_10 ),
inference(resolution,[],[f214,f73]) ).
tff(f663,plain,
( ~ spl19_51
| ~ spl19_4
| spl19_43 ),
inference(avatar_split_clause,[],[f648,f560,f133,f661]) ).
tff(f560,plain,
( spl19_43
<=> member(sK2,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_43])]) ).
tff(f648,plain,
( ~ member(sK2,sK3)
| ~ spl19_4
| spl19_43 ),
inference(resolution,[],[f287,f561]) ).
tff(f561,plain,
( ~ member(sK2,sK5)
| spl19_43 ),
inference(avatar_component_clause,[],[f560]) ).
tff(f654,plain,
( ~ spl19_50
| ~ spl19_4
| spl19_39 ),
inference(avatar_split_clause,[],[f650,f423,f133,f652]) ).
tff(f423,plain,
( spl19_39
<=> member(sK7,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_39])]) ).
tff(f650,plain,
( ~ member(sK7,sK3)
| ~ spl19_4
| spl19_39 ),
inference(resolution,[],[f287,f424]) ).
tff(f424,plain,
( ~ member(sK7,sK5)
| spl19_39 ),
inference(avatar_component_clause,[],[f423]) ).
tff(f621,plain,
( ~ spl19_20
| ~ spl19_46 ),
inference(avatar_contradiction_clause,[],[f620]) ).
tff(f620,plain,
( $false
| ~ spl19_20
| ~ spl19_46 ),
inference(subsumption_resolution,[],[f606,f104]) ).
tff(f606,plain,
( member(sK4,empty_set)
| ~ spl19_20
| ~ spl19_46 ),
inference(backward_demodulation,[],[f199,f592]) ).
tff(f592,plain,
( ( empty_set = sF8 )
| ~ spl19_46 ),
inference(avatar_component_clause,[],[f591]) ).
tff(f603,plain,
( ~ spl19_48
| spl19_49
| ~ spl19_14 ),
inference(avatar_split_clause,[],[f313,f173,f601,f598]) ).
tff(f313,plain,
( ( empty_set = intersection(sK5,sF8) )
| ( $sum(cardinality(sK5),cardinality(sF8)) != cardinality(sF9) )
| ~ spl19_14 ),
inference(superposition,[],[f83,f174]) ).
tff(f596,plain,
( spl19_46
| spl19_47
| ~ spl19_9 ),
inference(avatar_split_clause,[],[f229,f153,f594,f591]) ).
tff(f594,plain,
( spl19_47
<=> ( sK4 = sK0(sF8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_47])]) ).
tff(f229,plain,
( ( sK4 = sK0(sF8) )
| ( empty_set = sF8 )
| ~ spl19_9 ),
inference(resolution,[],[f213,f73]) ).
tff(f578,plain,
( ~ spl19_45
| ~ spl19_34
| spl19_44 ),
inference(avatar_split_clause,[],[f574,f570,f389,f576]) ).
tff(f389,plain,
( spl19_34
<=> ( sF10 = union(empty_set,sF8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_34])]) ).
tff(f574,plain,
( ~ member(sK2,sF10)
| ~ spl19_34
| spl19_44 ),
inference(resolution,[],[f571,f397]) ).
tff(f397,plain,
( ! [X0: element] :
( member(X0,sF8)
| ~ member(X0,sF10) )
| ~ spl19_34 ),
inference(subsumption_resolution,[],[f394,f104]) ).
tff(f394,plain,
( ! [X0: element] :
( ~ member(X0,sF10)
| member(X0,sF8)
| member(X0,empty_set) )
| ~ spl19_34 ),
inference(superposition,[],[f90,f390]) ).
tff(f390,plain,
( ( sF10 = union(empty_set,sF8) )
| ~ spl19_34 ),
inference(avatar_component_clause,[],[f389]) ).
tff(f572,plain,
( ~ spl19_44
| ~ spl19_14
| spl19_42 ),
inference(avatar_split_clause,[],[f474,f464,f173,f570]) ).
tff(f474,plain,
( ~ member(sK2,sF8)
| ~ spl19_14
| spl19_42 ),
inference(resolution,[],[f465,f231]) ).
tff(f562,plain,
( ~ spl19_43
| ~ spl19_14
| spl19_42 ),
inference(avatar_split_clause,[],[f473,f464,f173,f560]) ).
tff(f473,plain,
( ~ member(sK2,sK5)
| ~ spl19_14
| spl19_42 ),
inference(resolution,[],[f465,f238]) ).
tff(f466,plain,
( ~ spl19_42
| ~ spl19_5
| spl19_40 ),
inference(avatar_split_clause,[],[f454,f451,f137,f464]) ).
tff(f451,plain,
( spl19_40
<=> member(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_40])]) ).
tff(f454,plain,
( ~ member(sK2,sF9)
| ~ spl19_5
| spl19_40 ),
inference(resolution,[],[f452,f288]) ).
tff(f452,plain,
( ~ member(sK2,sK1)
| spl19_40 ),
inference(avatar_component_clause,[],[f451]) ).
tff(f461,plain,
( ~ spl19_41
| ~ spl19_34
| spl19_37 ),
inference(avatar_split_clause,[],[f427,f412,f389,f459]) ).
tff(f427,plain,
( ~ member(sK7,sF10)
| ~ spl19_34
| spl19_37 ),
inference(resolution,[],[f397,f413]) ).
tff(f453,plain,
( ~ spl19_40
| ~ spl19_19
| spl19_30 ),
inference(avatar_split_clause,[],[f421,f322,f193,f451]) ).
tff(f421,plain,
( ~ member(sK2,sK1)
| ~ spl19_19
| spl19_30 ),
inference(resolution,[],[f241,f323]) ).
tff(f425,plain,
( ~ spl19_39
| ~ spl19_14
| spl19_29 ),
inference(avatar_split_clause,[],[f415,f310,f173,f423]) ).
tff(f415,plain,
( ~ member(sK7,sK5)
| ~ spl19_14
| spl19_29 ),
inference(resolution,[],[f238,f311]) ).
tff(f419,plain,
( ~ spl19_38
| ~ spl19_19
| spl19_30 ),
inference(avatar_split_clause,[],[f410,f322,f193,f417]) ).
tff(f410,plain,
( ~ member(sK2,sF11)
| ~ spl19_19
| spl19_30 ),
inference(resolution,[],[f234,f323]) ).
tff(f414,plain,
( ~ spl19_37
| ~ spl19_14
| spl19_29 ),
inference(avatar_split_clause,[],[f409,f310,f173,f412]) ).
tff(f409,plain,
( ~ member(sK7,sF8)
| ~ spl19_14
| spl19_29 ),
inference(resolution,[],[f231,f311]) ).
tff(f408,plain,
( ~ spl19_36
| spl19_6
| ~ spl19_8
| ~ spl19_13
| ~ spl19_18
| ~ spl19_31 ),
inference(avatar_split_clause,[],[f400,f365,f189,f169,f149,f141,f406]) ).
tff(f406,plain,
( spl19_36
<=> ( 3 = sF15 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_36])]) ).
tff(f141,plain,
( spl19_6
<=> ( sF15 = sF17 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_6])]) ).
tff(f189,plain,
( spl19_18
<=> ( $sum(sF16,3) = sF17 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_18])]) ).
tff(f365,plain,
( spl19_31
<=> ( empty_set = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_31])]) ).
tff(f400,plain,
( ( 3 != sF15 )
| spl19_6
| ~ spl19_8
| ~ spl19_13
| ~ spl19_18
| ~ spl19_31 ),
inference(backward_demodulation,[],[f142,f386]) ).
tff(f386,plain,
( ( 3 = sF17 )
| ~ spl19_8
| ~ spl19_13
| ~ spl19_18
| ~ spl19_31 ),
inference(evaluation,[],[f383]) ).
tff(f383,plain,
( ( $sum(0,3) = sF17 )
| ~ spl19_8
| ~ spl19_13
| ~ spl19_18
| ~ spl19_31 ),
inference(backward_demodulation,[],[f190,f376]) ).
tff(f376,plain,
( ( 0 = sF16 )
| ~ spl19_8
| ~ spl19_13
| ~ spl19_31 ),
inference(forward_demodulation,[],[f374,f150]) ).
tff(f374,plain,
( ( sF16 = cardinality(empty_set) )
| ~ spl19_13
| ~ spl19_31 ),
inference(backward_demodulation,[],[f170,f366]) ).
tff(f366,plain,
( ( empty_set = sK3 )
| ~ spl19_31 ),
inference(avatar_component_clause,[],[f365]) ).
tff(f190,plain,
( ( $sum(sF16,3) = sF17 )
| ~ spl19_18 ),
inference(avatar_component_clause,[],[f189]) ).
tff(f142,plain,
( ( sF15 != sF17 )
| spl19_6 ),
inference(avatar_component_clause,[],[f141]) ).
tff(f404,plain,
( spl19_35
| ~ spl19_8
| ~ spl19_13
| ~ spl19_18
| ~ spl19_31 ),
inference(avatar_split_clause,[],[f386,f365,f189,f169,f149,f402]) ).
tff(f402,plain,
( spl19_35
<=> ( 3 = sF17 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_35])]) ).
tff(f391,plain,
( spl19_34
| ~ spl19_15
| ~ spl19_31 ),
inference(avatar_split_clause,[],[f373,f365,f177,f389]) ).
tff(f373,plain,
( ( sF10 = union(empty_set,sF8) )
| ~ spl19_15
| ~ spl19_31 ),
inference(backward_demodulation,[],[f178,f366]) ).
tff(f385,plain,
( spl19_32
| ~ spl19_8
| ~ spl19_13
| ~ spl19_31 ),
inference(avatar_split_clause,[],[f376,f365,f169,f149,f368]) ).
tff(f368,plain,
( spl19_32
<=> ( 0 = sF16 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_32])]) ).
tff(f380,plain,
( spl19_33
| ~ spl19_4
| ~ spl19_31 ),
inference(avatar_split_clause,[],[f375,f365,f133,f378]) ).
tff(f378,plain,
( spl19_33
<=> subset(empty_set,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_33])]) ).
tff(f375,plain,
( subset(empty_set,sK5)
| ~ spl19_4
| ~ spl19_31 ),
inference(backward_demodulation,[],[f134,f366]) ).
tff(f370,plain,
( spl19_31
| ~ spl19_32
| ~ spl19_13 ),
inference(avatar_split_clause,[],[f222,f169,f368,f365]) ).
tff(f222,plain,
( ( 0 != sF16 )
| ( empty_set = sK3 )
| ~ spl19_13 ),
inference(superposition,[],[f97,f170]) ).
tff(f97,plain,
! [X0: set] :
( ( cardinality(X0) != 0 )
| ( empty_set = X0 ) ),
inference(cnf_transformation,[],[f64]) ).
tff(f64,plain,
! [X0: set] :
( ( ( empty_set = X0 )
| ( cardinality(X0) != 0 ) )
& ( ( cardinality(X0) = 0 )
| ( empty_set != X0 ) ) ),
inference(nnf_transformation,[],[f8]) ).
tff(f8,axiom,
! [X0: set] :
( ( empty_set = X0 )
<=> ( cardinality(X0) = 0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cardinality_empty_set) ).
tff(f324,plain,
( ~ spl19_30
| spl19_2
| ~ spl19_7 ),
inference(avatar_split_clause,[],[f320,f145,f125,f322]) ).
tff(f320,plain,
( ~ member(sK2,sF18)
| spl19_2
| ~ spl19_7 ),
inference(resolution,[],[f289,f126]) ).
tff(f312,plain,
( ~ spl19_29
| spl19_3
| ~ spl19_5 ),
inference(avatar_split_clause,[],[f307,f137,f129,f310]) ).
tff(f307,plain,
( ~ member(sK7,sF9)
| spl19_3
| ~ spl19_5 ),
inference(resolution,[],[f288,f130]) ).
tff(f296,plain,
( ~ spl19_28
| spl19_1
| ~ spl19_4 ),
inference(avatar_split_clause,[],[f292,f133,f121,f294]) ).
tff(f292,plain,
( ~ member(sK4,sK3)
| spl19_1
| ~ spl19_4 ),
inference(resolution,[],[f287,f122]) ).
tff(f278,plain,
( ~ spl19_22
| ~ spl19_27 ),
inference(avatar_contradiction_clause,[],[f277]) ).
tff(f277,plain,
( $false
| ~ spl19_22
| ~ spl19_27 ),
inference(resolution,[],[f271,f209]) ).
tff(f271,plain,
( ! [X1: element] : ~ member(X1,sF13)
| ~ spl19_27 ),
inference(subsumption_resolution,[],[f269,f104]) ).
tff(f269,plain,
( ! [X1: element] :
( ~ member(X1,sF13)
| member(X1,empty_set) )
| ~ spl19_27 ),
inference(superposition,[],[f91,f266]) ).
tff(f266,plain,
( ( empty_set = union(sF12,sF13) )
| ~ spl19_27 ),
inference(avatar_component_clause,[],[f265]) ).
tff(f265,plain,
( spl19_27
<=> ( empty_set = union(sF12,sF13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_27])]) ).
tff(f267,plain,
( spl19_27
| ~ spl19_17
| ~ spl19_24 ),
inference(avatar_split_clause,[],[f252,f246,f185,f265]) ).
tff(f252,plain,
( ( empty_set = union(sF12,sF13) )
| ~ spl19_17
| ~ spl19_24 ),
inference(backward_demodulation,[],[f186,f247]) ).
tff(f247,plain,
( ( empty_set = sF14 )
| ~ spl19_24 ),
inference(avatar_component_clause,[],[f246]) ).
tff(f262,plain,
( ~ spl19_26
| spl19_6
| ~ spl19_8
| ~ spl19_12
| ~ spl19_24 ),
inference(avatar_split_clause,[],[f256,f246,f165,f149,f141,f260]) ).
tff(f260,plain,
( spl19_26
<=> ( 0 = sF17 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_26])]) ).
tff(f256,plain,
( ( 0 != sF17 )
| spl19_6
| ~ spl19_8
| ~ spl19_12
| ~ spl19_24 ),
inference(backward_demodulation,[],[f142,f254]) ).
tff(f254,plain,
( ( 0 = sF15 )
| ~ spl19_8
| ~ spl19_12
| ~ spl19_24 ),
inference(forward_demodulation,[],[f253,f150]) ).
tff(f253,plain,
( ( sF15 = cardinality(empty_set) )
| ~ spl19_12
| ~ spl19_24 ),
inference(backward_demodulation,[],[f166,f247]) ).
tff(f258,plain,
( spl19_25
| ~ spl19_8
| ~ spl19_12
| ~ spl19_24 ),
inference(avatar_split_clause,[],[f254,f246,f165,f149,f249]) ).
tff(f249,plain,
( spl19_25
<=> ( 0 = sF15 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_25])]) ).
tff(f251,plain,
( spl19_24
| ~ spl19_25
| ~ spl19_12 ),
inference(avatar_split_clause,[],[f221,f165,f249,f246]) ).
tff(f221,plain,
( ( 0 != sF15 )
| ( empty_set = sF14 )
| ~ spl19_12 ),
inference(superposition,[],[f97,f166]) ).
tff(f226,plain,
( ~ spl19_23
| spl19_6
| ~ spl19_18 ),
inference(avatar_split_clause,[],[f211,f189,f141,f224]) ).
tff(f224,plain,
( spl19_23
<=> ( sF15 = $sum(sF16,3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_23])]) ).
tff(f211,plain,
( ( sF15 != $sum(sF16,3) )
| spl19_6
| ~ spl19_18 ),
inference(superposition,[],[f142,f190]) ).
tff(f210,plain,
( spl19_22
| ~ spl19_11 ),
inference(avatar_split_clause,[],[f202,f161,f208]) ).
tff(f202,plain,
( member(sK2,sF13)
| ~ spl19_11 ),
inference(superposition,[],[f103,f162]) ).
tff(f103,plain,
! [X1: element] : member(X1,singleton(X1)),
inference(equality_resolution,[],[f71]) ).
tff(f71,plain,
! [X0: element,X1: element] :
( member(X1,singleton(X0))
| ( X0 != X1 ) ),
inference(cnf_transformation,[],[f43]) ).
tff(f206,plain,
( spl19_21
| ~ spl19_10 ),
inference(avatar_split_clause,[],[f201,f157,f204]) ).
tff(f201,plain,
( member(sK7,sF11)
| ~ spl19_10 ),
inference(superposition,[],[f103,f158]) ).
tff(f200,plain,
( spl19_20
| ~ spl19_9 ),
inference(avatar_split_clause,[],[f196,f153,f198]) ).
tff(f196,plain,
( member(sK4,sF8)
| ~ spl19_9 ),
inference(superposition,[],[f103,f154]) ).
tff(f195,plain,
spl19_19,
inference(avatar_split_clause,[],[f118,f193]) ).
tff(f118,plain,
sF18 = union(sK1,sF11),
introduced(function_definition,[]) ).
tff(f191,plain,
spl19_18,
inference(avatar_split_clause,[],[f116,f189]) ).
tff(f116,plain,
$sum(sF16,3) = sF17,
introduced(function_definition,[]) ).
tff(f187,plain,
spl19_17,
inference(avatar_split_clause,[],[f113,f185]) ).
tff(f113,plain,
union(sF12,sF13) = sF14,
introduced(function_definition,[]) ).
tff(f183,plain,
spl19_16,
inference(avatar_split_clause,[],[f111,f181]) ).
tff(f111,plain,
sF12 = union(sF10,sF11),
introduced(function_definition,[]) ).
tff(f179,plain,
spl19_15,
inference(avatar_split_clause,[],[f109,f177]) ).
tff(f109,plain,
sF10 = union(sK3,sF8),
introduced(function_definition,[]) ).
tff(f175,plain,
spl19_14,
inference(avatar_split_clause,[],[f107,f173]) ).
tff(f107,plain,
union(sK5,sF8) = sF9,
introduced(function_definition,[]) ).
tff(f171,plain,
spl19_13,
inference(avatar_split_clause,[],[f115,f169]) ).
tff(f115,plain,
sF16 = cardinality(sK3),
introduced(function_definition,[]) ).
tff(f167,plain,
spl19_12,
inference(avatar_split_clause,[],[f114,f165]) ).
tff(f114,plain,
sF15 = cardinality(sF14),
introduced(function_definition,[]) ).
tff(f163,plain,
spl19_11,
inference(avatar_split_clause,[],[f112,f161]) ).
tff(f112,plain,
singleton(sK2) = sF13,
introduced(function_definition,[]) ).
tff(f159,plain,
spl19_10,
inference(avatar_split_clause,[],[f110,f157]) ).
tff(f110,plain,
sF11 = singleton(sK7),
introduced(function_definition,[]) ).
tff(f155,plain,
spl19_9,
inference(avatar_split_clause,[],[f106,f153]) ).
tff(f106,plain,
sF8 = singleton(sK4),
introduced(function_definition,[]) ).
tff(f151,plain,
spl19_8,
inference(avatar_split_clause,[],[f105,f149]) ).
tff(f105,plain,
0 = cardinality(empty_set),
inference(equality_resolution,[],[f96]) ).
tff(f96,plain,
! [X0: set] :
( ( cardinality(X0) = 0 )
| ( empty_set != X0 ) ),
inference(cnf_transformation,[],[f64]) ).
tff(f147,plain,
spl19_7,
inference(avatar_split_clause,[],[f119,f145]) ).
tff(f119,plain,
subset(sF18,sK6),
inference(definition_folding,[],[f77,f118,f110]) ).
tff(f77,plain,
subset(union(sK1,singleton(sK7)),sK6),
inference(cnf_transformation,[],[f52]) ).
tff(f52,plain,
( subset(union(sK5,singleton(sK4)),sK1)
& subset(sK3,sK5)
& ~ member(sK7,sK1)
& ( cardinality(union(union(union(sK3,singleton(sK4)),singleton(sK7)),singleton(sK2))) != $sum(cardinality(sK3),3) )
& ~ member(sK2,sK6)
& subset(union(sK1,singleton(sK7)),sK6)
& ~ member(sK4,sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f50,f51]) ).
tff(f51,plain,
( ? [X0: set,X1: element,X2: set,X3: element,X4: set,X5: set,X6: element] :
( subset(union(X4,singleton(X3)),X0)
& subset(X2,X4)
& ~ member(X6,X0)
& ( $sum(cardinality(X2),3) != cardinality(union(union(union(X2,singleton(X3)),singleton(X6)),singleton(X1))) )
& ~ member(X1,X5)
& subset(union(X0,singleton(X6)),X5)
& ~ member(X3,X4) )
=> ( subset(union(sK5,singleton(sK4)),sK1)
& subset(sK3,sK5)
& ~ member(sK7,sK1)
& ( cardinality(union(union(union(sK3,singleton(sK4)),singleton(sK7)),singleton(sK2))) != $sum(cardinality(sK3),3) )
& ~ member(sK2,sK6)
& subset(union(sK1,singleton(sK7)),sK6)
& ~ member(sK4,sK5) ) ),
introduced(choice_axiom,[]) ).
tff(f50,plain,
? [X0: set,X1: element,X2: set,X3: element,X4: set,X5: set,X6: element] :
( subset(union(X4,singleton(X3)),X0)
& subset(X2,X4)
& ~ member(X6,X0)
& ( $sum(cardinality(X2),3) != cardinality(union(union(union(X2,singleton(X3)),singleton(X6)),singleton(X1))) )
& ~ member(X1,X5)
& subset(union(X0,singleton(X6)),X5)
& ~ member(X3,X4) ),
inference(rectify,[],[f40]) ).
tff(f40,plain,
? [X4: set,X5: element,X2: set,X6: element,X3: set,X1: set,X0: element] :
( subset(union(X3,singleton(X6)),X4)
& subset(X2,X3)
& ~ member(X0,X4)
& ( $sum(cardinality(X2),3) != cardinality(union(union(union(X2,singleton(X6)),singleton(X0)),singleton(X5))) )
& ~ member(X5,X1)
& subset(union(X4,singleton(X0)),X1)
& ~ member(X6,X3) ),
inference(flattening,[],[f39]) ).
tff(f39,plain,
? [X1: set,X0: element,X2: set,X3: set,X6: element,X5: element,X4: set] :
( ( $sum(cardinality(X2),3) != cardinality(union(union(union(X2,singleton(X6)),singleton(X0)),singleton(X5))) )
& subset(union(X3,singleton(X6)),X4)
& ~ member(X5,X1)
& subset(union(X4,singleton(X0)),X1)
& ~ member(X0,X4)
& subset(X2,X3)
& ~ member(X6,X3) ),
inference(ennf_transformation,[],[f27]) ).
tff(f27,plain,
~ ! [X1: set,X0: element,X2: set,X3: set,X6: element,X5: element,X4: set] :
( ( subset(union(X3,singleton(X6)),X4)
& ~ member(X5,X1)
& subset(union(X4,singleton(X0)),X1)
& ~ member(X0,X4)
& subset(X2,X3)
& ~ member(X6,X3) )
=> ( $sum(cardinality(X2),3) = cardinality(union(union(union(X2,singleton(X6)),singleton(X0)),singleton(X5))) ) ),
inference(rectify,[],[f14]) ).
tff(f14,negated_conjecture,
~ ! [X11: element,X9: set,X6: set,X7: set,X8: set,X12: element,X10: element] :
( ( subset(X6,X7)
& ~ member(X10,X7)
& subset(union(X8,singleton(X11)),X9)
& ~ member(X11,X8)
& subset(union(X7,singleton(X10)),X8)
& ~ member(X12,X9) )
=> ( cardinality(union(union(union(X6,singleton(X10)),singleton(X11)),singleton(X12))) = $sum(cardinality(X6),3) ) ),
inference(negated_conjecture,[],[f13]) ).
tff(f13,conjecture,
! [X11: element,X9: set,X6: set,X7: set,X8: set,X12: element,X10: element] :
( ( subset(X6,X7)
& ~ member(X10,X7)
& subset(union(X8,singleton(X11)),X9)
& ~ member(X11,X8)
& subset(union(X7,singleton(X10)),X8)
& ~ member(X12,X9) )
=> ( cardinality(union(union(union(X6,singleton(X10)),singleton(X11)),singleton(X12))) = $sum(cardinality(X6),3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',vc5) ).
tff(f143,plain,
~ spl19_6,
inference(avatar_split_clause,[],[f117,f141]) ).
tff(f117,plain,
sF15 != sF17,
inference(definition_folding,[],[f79,f116,f115,f114,f113,f112,f111,f110,f109,f106]) ).
tff(f79,plain,
cardinality(union(union(union(sK3,singleton(sK4)),singleton(sK7)),singleton(sK2))) != $sum(cardinality(sK3),3),
inference(cnf_transformation,[],[f52]) ).
tff(f139,plain,
spl19_5,
inference(avatar_split_clause,[],[f108,f137]) ).
tff(f108,plain,
subset(sF9,sK1),
inference(definition_folding,[],[f82,f107,f106]) ).
tff(f82,plain,
subset(union(sK5,singleton(sK4)),sK1),
inference(cnf_transformation,[],[f52]) ).
tff(f135,plain,
spl19_4,
inference(avatar_split_clause,[],[f81,f133]) ).
tff(f81,plain,
subset(sK3,sK5),
inference(cnf_transformation,[],[f52]) ).
tff(f131,plain,
~ spl19_3,
inference(avatar_split_clause,[],[f80,f129]) ).
tff(f80,plain,
~ member(sK7,sK1),
inference(cnf_transformation,[],[f52]) ).
tff(f127,plain,
~ spl19_2,
inference(avatar_split_clause,[],[f78,f125]) ).
tff(f78,plain,
~ member(sK2,sK6),
inference(cnf_transformation,[],[f52]) ).
tff(f123,plain,
~ spl19_1,
inference(avatar_split_clause,[],[f76,f121]) ).
tff(f76,plain,
~ member(sK4,sK5),
inference(cnf_transformation,[],[f52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEV425=1 : TPTP v8.1.0. Released v5.0.0.
% 0.00/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.31 % Computer : n003.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Aug 30 17:12:07 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.15/0.42 % (22683)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.42 % (22683)Instruction limit reached!
% 0.15/0.42 % (22683)------------------------------
% 0.15/0.42 % (22683)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.43 % (22691)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.43 % (22683)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.43 % (22683)Termination reason: Unknown
% 0.15/0.43 % (22683)Termination phase: Preprocessing 2
% 0.15/0.43
% 0.15/0.43 % (22683)Memory used [KB]: 895
% 0.15/0.43 % (22683)Time elapsed: 0.004 s
% 0.15/0.43 % (22683)Instructions burned: 2 (million)
% 0.15/0.43 % (22683)------------------------------
% 0.15/0.43 % (22683)------------------------------
% 0.15/0.44 % (22691)Refutation not found, incomplete strategy% (22691)------------------------------
% 0.15/0.44 % (22691)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.44 % (22691)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.44 % (22691)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.44
% 0.15/0.44 % (22691)Memory used [KB]: 5628
% 0.15/0.44 % (22691)Time elapsed: 0.058 s
% 0.15/0.44 % (22691)Instructions burned: 8 (million)
% 0.15/0.44 % (22691)------------------------------
% 0.15/0.44 % (22691)------------------------------
% 0.15/0.46 % (22675)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.15/0.46 % (22676)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 0.15/0.47 % (22681)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.15/0.48 % (22690)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.15/0.48 % (22692)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/47Mi)
% 0.15/0.48 % (22697)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/41Mi)
% 0.15/0.48 % (22675)Refutation not found, incomplete strategy% (22675)------------------------------
% 0.15/0.48 % (22675)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (22675)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (22675)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.48
% 0.15/0.48 % (22675)Memory used [KB]: 5628
% 0.15/0.48 % (22675)Time elapsed: 0.108 s
% 0.15/0.48 % (22675)Instructions burned: 8 (million)
% 0.15/0.48 % (22675)------------------------------
% 0.15/0.48 % (22675)------------------------------
% 0.15/0.48 % (22689)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.15/0.49 % (22682)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.49 % (22684)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.49 % (22684)Instruction limit reached!
% 0.15/0.49 % (22684)------------------------------
% 0.15/0.49 % (22684)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49 % (22684)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49 % (22684)Termination reason: Unknown
% 0.15/0.49 % (22684)Termination phase: Saturation
% 0.15/0.49
% 0.15/0.49 % (22684)Memory used [KB]: 1023
% 0.15/0.49 % (22684)Time elapsed: 0.004 s
% 0.15/0.49 % (22684)Instructions burned: 3 (million)
% 0.15/0.49 % (22684)------------------------------
% 0.15/0.49 % (22684)------------------------------
% 0.15/0.50 % (22690)Refutation not found, incomplete strategy% (22690)------------------------------
% 0.15/0.50 % (22690)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50 % (22690)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50 % (22690)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.50
% 0.15/0.50 % (22690)Memory used [KB]: 1151
% 0.15/0.50 % (22690)Time elapsed: 0.117 s
% 0.15/0.50 % (22690)Instructions burned: 8 (million)
% 0.15/0.50 % (22690)------------------------------
% 0.15/0.50 % (22690)------------------------------
% 0.15/0.51 % (22676)Instruction limit reached!
% 0.15/0.51 % (22676)------------------------------
% 0.15/0.51 % (22676)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.51 % (22676)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.51 % (22676)Termination reason: Unknown
% 0.15/0.51 % (22676)Termination phase: Saturation
% 0.15/0.51
% 0.15/0.51 % (22676)Memory used [KB]: 6012
% 0.15/0.51 % (22676)Time elapsed: 0.142 s
% 0.15/0.51 % (22676)Instructions burned: 27 (million)
% 0.15/0.51 % (22676)------------------------------
% 0.15/0.51 % (22676)------------------------------
% 0.15/0.52 % (22689)Instruction limit reached!
% 0.15/0.52 % (22689)------------------------------
% 0.15/0.52 % (22689)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.52 % (22689)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.52 % (22689)Termination reason: Unknown
% 0.15/0.52 % (22689)Termination phase: Saturation
% 0.15/0.52
% 0.15/0.52 % (22689)Memory used [KB]: 5884
% 0.15/0.52 % (22689)Time elapsed: 0.124 s
% 0.15/0.52 % (22689)Instructions burned: 22 (million)
% 0.15/0.52 % (22689)------------------------------
% 0.15/0.52 % (22689)------------------------------
% 0.15/0.52 % (22681)Instruction limit reached!
% 0.15/0.52 % (22681)------------------------------
% 0.15/0.52 % (22681)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.52 % (22681)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.52 % (22681)Termination reason: Unknown
% 0.15/0.52 % (22681)Termination phase: Saturation
% 0.15/0.52
% 0.15/0.52 % (22681)Memory used [KB]: 5884
% 0.15/0.52 % (22681)Time elapsed: 0.132 s
% 0.15/0.52 % (22681)Instructions burned: 21 (million)
% 0.15/0.52 % (22681)------------------------------
% 0.15/0.52 % (22681)------------------------------
% 0.15/0.53 % (22686)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.15/0.53 % (22698)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 0.15/0.53 % (22694)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.15/0.53 % (22672)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.15/0.55 % (22678)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.15/0.55 % (22697)Instruction limit reached!
% 0.15/0.55 % (22697)------------------------------
% 0.15/0.55 % (22697)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.55 % (22697)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.55 % (22697)Termination reason: Unknown
% 0.15/0.55 % (22697)Termination phase: Saturation
% 0.15/0.55
% 0.15/0.55 % (22697)Memory used [KB]: 6140
% 0.15/0.55 % (22697)Time elapsed: 0.158 s
% 0.15/0.55 % (22697)Instructions burned: 41 (million)
% 0.15/0.55 % (22697)------------------------------
% 0.15/0.55 % (22697)------------------------------
% 0.15/0.55 % (22670)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.15/0.55 % (22698)Instruction limit reached!
% 0.15/0.55 % (22698)------------------------------
% 0.15/0.55 % (22698)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.56 % (22699)lrs+1_1:1_aac=none:acc=on:add=large:bd=off:bs=unit_only:bsr=on:cond=on:nm=0:sac=on:sd=3:sos=on:ss=axioms:st=2.0:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/47Mi)
% 0.15/0.56 % (22698)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.56 % (22698)Termination reason: Unknown
% 0.15/0.56 % (22698)Termination phase: Saturation
% 0.15/0.56
% 0.15/0.56 % (22698)Memory used [KB]: 5756
% 0.15/0.56 % (22698)Time elapsed: 0.040 s
% 0.15/0.56 % (22698)Instructions burned: 15 (million)
% 0.15/0.56 % (22698)------------------------------
% 0.15/0.56 % (22698)------------------------------
% 0.15/0.57 % (22682)Instruction limit reached!
% 0.15/0.57 % (22682)------------------------------
% 0.15/0.57 % (22682)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.57 % (22682)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.57 % (22682)Termination reason: Unknown
% 0.15/0.57 % (22682)Termination phase: Saturation
% 0.15/0.57
% 0.15/0.57 % (22682)Memory used [KB]: 6396
% 0.15/0.57 % (22682)Time elapsed: 0.169 s
% 0.15/0.57 % (22682)Instructions burned: 50 (million)
% 0.15/0.57 % (22682)------------------------------
% 0.15/0.57 % (22682)------------------------------
% 0.15/0.57 % (22692)Instruction limit reached!
% 0.15/0.57 % (22692)------------------------------
% 0.15/0.57 % (22692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.57 % (22692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.57 % (22692)Termination reason: Unknown
% 0.15/0.57 % (22692)Termination phase: Saturation
% 0.15/0.57
% 0.15/0.57 % (22692)Memory used [KB]: 1918
% 0.15/0.57 % (22692)Time elapsed: 0.198 s
% 0.15/0.57 % (22692)Instructions burned: 48 (million)
% 0.15/0.57 % (22692)------------------------------
% 0.15/0.57 % (22692)------------------------------
% 0.15/0.58 % (22686)Instruction limit reached!
% 0.15/0.58 % (22686)------------------------------
% 0.15/0.58 % (22686)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.58 % (22686)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.58 % (22686)Termination reason: Unknown
% 0.15/0.58 % (22686)Termination phase: Saturation
% 0.15/0.58
% 0.15/0.58 % (22686)Memory used [KB]: 5756
% 0.15/0.58 % (22686)Time elapsed: 0.202 s
% 0.15/0.58 % (22686)Instructions burned: 15 (million)
% 0.15/0.58 % (22686)------------------------------
% 0.15/0.58 % (22686)------------------------------
% 0.15/0.58 % (22670)Instruction limit reached!
% 0.15/0.58 % (22670)------------------------------
% 0.15/0.58 % (22670)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.58 % (22670)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.58 % (22670)Termination reason: Unknown
% 0.15/0.58 % (22670)Termination phase: Saturation
% 0.15/0.58
% 0.15/0.58 % (22670)Memory used [KB]: 5628
% 0.15/0.58 % (22670)Time elapsed: 0.202 s
% 0.15/0.58 % (22670)Instructions burned: 8 (million)
% 0.15/0.58 % (22670)------------------------------
% 0.15/0.58 % (22670)------------------------------
% 0.15/0.58 % (22668)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 0.15/0.58 % (22674)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 0.15/0.59 % (22688)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.15/0.59 % (22696)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.15/0.59 % (22695)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.15/0.59 % (22693)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.15/0.60 % (22680)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.60 % (22680)Instruction limit reached!
% 0.15/0.60 % (22680)------------------------------
% 0.15/0.60 % (22680)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.60 % (22680)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.60 % (22680)Termination reason: Unknown
% 0.15/0.60 % (22680)Termination phase: Unused predicate definition removal
% 0.15/0.60
% 0.15/0.60 % (22680)Memory used [KB]: 895
% 0.15/0.60 % (22680)Time elapsed: 0.002 s
% 0.15/0.60 % (22680)Instructions burned: 2 (million)
% 0.15/0.60 % (22680)------------------------------
% 0.15/0.60 % (22680)------------------------------
% 0.15/0.60 % (22687)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.60 % (22687)Instruction limit reached!
% 0.15/0.60 % (22687)------------------------------
% 0.15/0.60 % (22687)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.60 % (22687)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.60 % (22687)Termination reason: Unknown
% 0.15/0.60 % (22687)Termination phase: Property scanning
% 0.15/0.60
% 0.15/0.60 % (22687)Memory used [KB]: 1023
% 0.15/0.60 % (22687)Time elapsed: 0.003 s
% 0.15/0.60 % (22687)Instructions burned: 2 (million)
% 0.15/0.60 % (22687)------------------------------
% 0.15/0.60 % (22687)------------------------------
% 0.15/0.60 % (22679)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.15/0.60 % (22679)Instruction limit reached!
% 0.15/0.60 % (22679)------------------------------
% 0.15/0.60 % (22679)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.60 % (22679)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.60 % (22679)Termination reason: Unknown
% 0.15/0.60 % (22679)Termination phase: Saturation
% 0.15/0.60
% 0.15/0.60 % (22679)Memory used [KB]: 1023
% 0.15/0.60 % (22679)Time elapsed: 0.004 s
% 0.15/0.60 % (22679)Instructions burned: 4 (million)
% 0.15/0.60 % (22679)------------------------------
% 0.15/0.60 % (22679)------------------------------
% 0.15/0.60 % (22671)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.60 % (22671)Instruction limit reached!
% 0.15/0.60 % (22671)------------------------------
% 0.15/0.60 % (22671)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.60 % (22671)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.60 % (22671)Termination reason: Unknown
% 0.15/0.60 % (22671)Termination phase: Including theory axioms
% 0.15/0.60
% 0.15/0.60 % (22671)Memory used [KB]: 895
% 0.15/0.60 % (22671)Time elapsed: 0.002 s
% 0.15/0.60 % (22671)Instructions burned: 2 (million)
% 0.15/0.60 % (22671)------------------------------
% 0.15/0.60 % (22671)------------------------------
% 0.15/0.60 % (22677)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.60 % (22673)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.15/0.60 % (22677)Instruction limit reached!
% 0.15/0.60 % (22677)------------------------------
% 0.15/0.60 % (22677)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.60 % (22677)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.60 % (22677)Termination reason: Unknown
% 0.15/0.60 % (22677)Termination phase: Preprocessing 3
% 0.15/0.60
% 0.15/0.60 % (22677)Memory used [KB]: 895
% 0.15/0.60 % (22677)Time elapsed: 0.004 s
% 0.15/0.60 % (22677)Instructions burned: 2 (million)
% 0.15/0.60 % (22677)------------------------------
% 0.15/0.60 % (22677)------------------------------
% 0.15/0.60 % (22685)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.15/0.62 % (22699)Instruction limit reached!
% 0.15/0.62 % (22699)------------------------------
% 0.15/0.62 % (22699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.62 % (22699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.62 % (22699)Termination reason: Unknown
% 2.12/0.62 % (22699)Termination phase: Saturation
% 2.12/0.62
% 2.12/0.62 % (22699)Memory used [KB]: 6268
% 2.12/0.62 % (22699)Time elapsed: 0.093 s
% 2.12/0.62 % (22699)Instructions burned: 48 (million)
% 2.12/0.62 % (22699)------------------------------
% 2.12/0.62 % (22699)------------------------------
% 2.12/0.62 % (22672)Instruction limit reached!
% 2.12/0.62 % (22672)------------------------------
% 2.12/0.62 % (22672)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.62 % (22672)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.62 % (22672)Termination reason: Unknown
% 2.12/0.62 % (22672)Termination phase: Saturation
% 2.12/0.62
% 2.12/0.62 % (22672)Memory used [KB]: 6396
% 2.12/0.62 % (22672)Time elapsed: 0.242 s
% 2.12/0.62 % (22672)Instructions burned: 38 (million)
% 2.12/0.62 % (22672)------------------------------
% 2.12/0.62 % (22672)------------------------------
% 2.12/0.63 % (22678)Instruction limit reached!
% 2.12/0.63 % (22678)------------------------------
% 2.12/0.63 % (22678)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.63 % (22678)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.63 % (22678)Termination reason: Unknown
% 2.12/0.63 % (22678)Termination phase: Saturation
% 2.12/0.63
% 2.12/0.63 % (22678)Memory used [KB]: 6012
% 2.12/0.63 % (22678)Time elapsed: 0.234 s
% 2.12/0.63 % (22678)Instructions burned: 35 (million)
% 2.12/0.63 % (22678)------------------------------
% 2.12/0.63 % (22678)------------------------------
% 2.12/0.63 % (22669)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 2.12/0.63 % (22694)Instruction limit reached!
% 2.12/0.63 % (22694)------------------------------
% 2.12/0.63 % (22694)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.63 % (22694)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.63 % (22694)Termination reason: Unknown
% 2.12/0.63 % (22694)Termination phase: Saturation
% 2.12/0.63
% 2.12/0.63 % (22694)Memory used [KB]: 6268
% 2.12/0.63 % (22694)Time elapsed: 0.242 s
% 2.12/0.63 % (22694)Instructions burned: 44 (million)
% 2.12/0.63 % (22694)------------------------------
% 2.12/0.63 % (22694)------------------------------
% 2.12/0.63 % (22688)Instruction limit reached!
% 2.12/0.63 % (22688)------------------------------
% 2.12/0.63 % (22688)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.63 % (22688)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.63 % (22688)Termination reason: Unknown
% 2.12/0.63 % (22688)Termination phase: Saturation
% 2.12/0.63
% 2.12/0.63 % (22688)Memory used [KB]: 1279
% 2.12/0.63 % (22688)Time elapsed: 0.218 s
% 2.12/0.63 % (22688)Instructions burned: 16 (million)
% 2.12/0.63 % (22688)------------------------------
% 2.12/0.63 % (22688)------------------------------
% 2.12/0.63 % (22696)Instruction limit reached!
% 2.12/0.63 % (22696)------------------------------
% 2.12/0.63 % (22696)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.63 % (22696)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.63 % (22696)Termination reason: Unknown
% 2.12/0.63 % (22696)Termination phase: Saturation
% 2.12/0.63
% 2.12/0.63 % (22696)Memory used [KB]: 5756
% 2.12/0.63 % (22696)Time elapsed: 0.247 s
% 2.12/0.63 % (22696)Instructions burned: 22 (million)
% 2.12/0.63 % (22696)------------------------------
% 2.12/0.63 % (22696)------------------------------
% 2.44/0.64 % (22700)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/25Mi)
% 2.44/0.64 % (22674)Instruction limit reached!
% 2.44/0.64 % (22674)------------------------------
% 2.44/0.64 % (22674)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.64 % (22674)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.64 % (22674)Termination reason: Unknown
% 2.44/0.64 % (22674)Termination phase: Saturation
% 2.44/0.64
% 2.44/0.64 % (22674)Memory used [KB]: 6140
% 2.44/0.64 % (22674)Time elapsed: 0.260 s
% 2.44/0.64 % (22674)Instructions burned: 32 (million)
% 2.44/0.64 % (22674)------------------------------
% 2.44/0.64 % (22674)------------------------------
% 2.44/0.65 % (22705)lrs+10_1:1_thi=all:thigen=on:i=96:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/96Mi)
% 2.44/0.65 % (22701)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=148:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/148Mi)
% 2.44/0.65 % (22673)Instruction limit reached!
% 2.44/0.65 % (22673)------------------------------
% 2.44/0.65 % (22673)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.65 % (22673)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.65 % (22673)Termination reason: Unknown
% 2.44/0.65 % (22673)Termination phase: Saturation
% 2.44/0.65
% 2.44/0.65 % (22673)Memory used [KB]: 5756
% 2.44/0.65 % (22673)Time elapsed: 0.272 s
% 2.44/0.65 % (22673)Instructions burned: 15 (million)
% 2.44/0.65 % (22673)------------------------------
% 2.44/0.65 % (22673)------------------------------
% 2.44/0.66 % (22702)lrs+10_1:1_acc=model:br=off:ins=1:newcnf=on:nwc=5.0:s2a=on:sac=on:sp=frequency:to=lpo:urr=on:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 2.44/0.66 % (22707)lrs+10_1:1_plsq=on:plsqc=1:plsqr=32,1:tha=off:thi=overlap:i=463:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/463Mi)
% 2.44/0.67 % (22695)Instruction limit reached!
% 2.44/0.67 % (22695)------------------------------
% 2.44/0.67 % (22695)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.67 % (22695)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.67 % (22695)Termination reason: Unknown
% 2.44/0.67 % (22695)Termination phase: Saturation
% 2.44/0.67
% 2.44/0.67 % (22695)Memory used [KB]: 5756
% 2.44/0.67 % (22695)Time elapsed: 0.276 s
% 2.44/0.67 % (22695)Instructions burned: 21 (million)
% 2.44/0.67 % (22695)------------------------------
% 2.44/0.67 % (22695)------------------------------
% 2.44/0.67 % (22669)Refutation not found, incomplete strategy% (22669)------------------------------
% 2.44/0.67 % (22669)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.67 % (22669)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.67 % (22669)Termination reason: Refutation not found, incomplete strategy
% 2.44/0.67
% 2.44/0.67 % (22669)Memory used [KB]: 5628
% 2.44/0.67 % (22669)Time elapsed: 0.275 s
% 2.44/0.67 % (22669)Instructions burned: 13 (million)
% 2.44/0.67 % (22669)------------------------------
% 2.44/0.67 % (22669)------------------------------
% 2.44/0.67 % (22701)Refutation not found, incomplete strategy% (22701)------------------------------
% 2.44/0.67 % (22701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.67 % (22701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.67 % (22701)Termination reason: Refutation not found, incomplete strategy
% 2.44/0.67
% 2.44/0.67 % (22701)Memory used [KB]: 5628
% 2.44/0.67 % (22701)Time elapsed: 0.140 s
% 2.44/0.67 % (22701)Instructions burned: 6 (million)
% 2.44/0.67 % (22701)------------------------------
% 2.44/0.67 % (22701)------------------------------
% 2.62/0.69 % (22703)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=76:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/76Mi)
% 2.62/0.69 % (22700)Instruction limit reached!
% 2.62/0.69 % (22700)------------------------------
% 2.62/0.69 % (22700)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.62/0.69 % (22700)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.69 % (22700)Termination reason: Unknown
% 2.62/0.69 % (22700)Termination phase: Saturation
% 2.62/0.69
% 2.62/0.69 % (22700)Memory used [KB]: 5884
% 2.62/0.69 % (22700)Time elapsed: 0.140 s
% 2.62/0.69 % (22700)Instructions burned: 25 (million)
% 2.62/0.69 % (22700)------------------------------
% 2.62/0.69 % (22700)------------------------------
% 2.62/0.69 % (22706)lrs+10_1:3_add=large:afr=on:anc=all_dependent:avsq=on:avsqr=21,226:awrs=decay:awrsf=47:br=off:bsd=on:canc=cautious:cond=fast:fd=preordered:fsd=on:fsr=off:gs=on:gve=force:ins=1:lma=on:s2agt=4:s2at=1.9:sas=z3:slsq=on:slsqc=1:slsqr=13,121:sp=reverse_arity:tha=some:to=lpo:uace=off:uhcvi=on:updr=off:urr=ec_only:i=108:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/108Mi)
% 2.62/0.71 % (22693)Instruction limit reached!
% 2.62/0.71 % (22693)------------------------------
% 2.62/0.71 % (22693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.62/0.71 % (22693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.71 % (22693)Termination reason: Unknown
% 2.62/0.71 % (22693)Termination phase: Saturation
% 2.62/0.71
% 2.62/0.71 % (22693)Memory used [KB]: 6268
% 2.62/0.71 % (22693)Time elapsed: 0.314 s
% 2.62/0.71 % (22693)Instructions burned: 42 (million)
% 2.62/0.71 % (22693)------------------------------
% 2.62/0.71 % (22693)------------------------------
% 2.62/0.72 % (22708)lrs+1011_4:1_abs=on:afp=20:amm=off:anc=all:bd=off:br=off:canc=force:s2a=on:sas=z3:slsq=on:urr=on:i=494:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/494Mi)
% 2.78/0.74 % (22710)lrs+1002_1:1_av=off:br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=343:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/343Mi)
% 2.78/0.74 % (22685)Instruction limit reached!
% 2.78/0.74 % (22685)------------------------------
% 2.78/0.74 % (22685)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.78/0.74 % (22685)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.78/0.74 % (22685)Termination reason: Unknown
% 2.78/0.74 % (22685)Termination phase: Saturation
% 2.78/0.74
% 2.78/0.74 % (22685)Memory used [KB]: 6268
% 2.78/0.74 % (22685)Time elapsed: 0.338 s
% 2.78/0.74 % (22685)Instructions burned: 49 (million)
% 2.78/0.74 % (22685)------------------------------
% 2.78/0.74 % (22685)------------------------------
% 2.78/0.75 % (22720)dis+1010_1:1_s2a=on:sp=frequency:to=lpo:i=274:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/274Mi)
% 2.78/0.75 % (22709)lrs+10_1:1_newcnf=on:sas=z3:tgt=ground:tha=off:i=223:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/223Mi)
% 2.83/0.79 % (22716)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=493:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/493Mi)
% 2.83/0.80 % (22712)lrs+1010_5:1_aer=off:norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=150:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/150Mi)
% 2.83/0.80 % (22711)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/488Mi)
% 2.83/0.81 % (22705)Instruction limit reached!
% 2.83/0.81 % (22705)------------------------------
% 2.83/0.81 % (22705)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.83/0.81 % (22705)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.83/0.81 % (22705)Termination reason: Unknown
% 2.83/0.81 % (22705)Termination phase: Saturation
% 2.83/0.81
% 2.83/0.81 % (22705)Memory used [KB]: 6268
% 2.83/0.81 % (22705)Time elapsed: 0.232 s
% 2.83/0.81 % (22705)Instructions burned: 96 (million)
% 2.83/0.81 % (22705)------------------------------
% 2.83/0.81 % (22705)------------------------------
% 2.96/0.83 % (22703)Instruction limit reached!
% 2.96/0.83 % (22703)------------------------------
% 2.96/0.83 % (22703)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.96/0.83 % (22703)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.96/0.83 % (22703)Termination reason: Unknown
% 2.96/0.83 % (22703)Termination phase: Saturation
% 2.96/0.83
% 2.96/0.83 % (22703)Memory used [KB]: 7036
% 2.96/0.83 % (22703)Time elapsed: 0.262 s
% 2.96/0.83 % (22703)Instructions burned: 76 (million)
% 2.96/0.83 % (22703)------------------------------
% 2.96/0.83 % (22703)------------------------------
% 2.96/0.83 % (22711)Refutation not found, incomplete strategy% (22711)------------------------------
% 2.96/0.83 % (22711)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.96/0.83 % (22711)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.96/0.83 % (22711)Termination reason: Refutation not found, incomplete strategy
% 2.96/0.83
% 2.96/0.83 % (22711)Memory used [KB]: 5500
% 2.96/0.83 % (22711)Time elapsed: 0.170 s
% 2.96/0.83 % (22711)Instructions burned: 4 (million)
% 2.96/0.83 % (22711)------------------------------
% 2.96/0.83 % (22711)------------------------------
% 2.96/0.83 % (22719)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/211Mi)
% 2.96/0.84 % (22702)Instruction limit reached!
% 2.96/0.84 % (22702)------------------------------
% 2.96/0.84 % (22702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.96/0.84 % (22702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.96/0.84 % (22702)Termination reason: Unknown
% 2.96/0.84 % (22702)Termination phase: Saturation
% 2.96/0.84
% 2.96/0.84 % (22702)Memory used [KB]: 7931
% 2.96/0.84 % (22702)Time elapsed: 0.296 s
% 2.96/0.84 % (22702)Instructions burned: 101 (million)
% 2.96/0.84 % (22702)------------------------------
% 2.96/0.84 % (22702)------------------------------
% 2.96/0.84 % (22722)lrs+11_1:1_erd=off:fs=off:fsr=off:norm_ineq=on:nwc=10.0:s2a=on:s2at=3.0:sas=z3:tha=some:i=294:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/294Mi)
% 2.96/0.84 % (22704)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=58:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/58Mi)
% 2.96/0.84 % (22704)Refutation not found, incomplete strategy% (22704)------------------------------
% 2.96/0.84 % (22704)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.96/0.84 % (22704)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.96/0.84 % (22704)Termination reason: Refutation not found, incomplete strategy
% 2.96/0.84
% 2.96/0.84 % (22704)Memory used [KB]: 5628
% 2.96/0.84 % (22704)Time elapsed: 0.270 s
% 2.96/0.84 % (22704)Instructions burned: 4 (million)
% 2.96/0.84 % (22704)------------------------------
% 2.96/0.84 % (22704)------------------------------
% 2.96/0.85 % (22723)lrs+30_1:64_flr=on:sp=frequency:to=lpo:i=213:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/213Mi)
% 2.96/0.85 % (22721)lrs+1002_1:1_nm=0:sd=1:ss=axioms:urr=ec_only:i=330:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/330Mi)
% 2.96/0.85 % (22706)Instruction limit reached!
% 2.96/0.85 % (22706)------------------------------
% 2.96/0.85 % (22706)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.96/0.85 % (22706)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.96/0.85 % (22706)Termination reason: Unknown
% 2.96/0.85 % (22706)Termination phase: Saturation
% 2.96/0.85
% 2.96/0.85 % (22706)Memory used [KB]: 5628
% 2.96/0.85 % (22706)Time elapsed: 0.255 s
% 2.96/0.85 % (22706)Instructions burned: 108 (million)
% 2.96/0.85 % (22706)------------------------------
% 2.96/0.85 % (22706)------------------------------
% 2.96/0.85 % (22729)dis+31_1:1_lcm=reverse:norm_ineq=on:nwc=10.0:sas=z3:tha=off:urr=on:i=382:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/382Mi)
% 3.12/0.86 % (22724)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=374:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/374Mi)
% 3.12/0.87 % (22717)dis+10_1:1_aac=none:abs=on:bce=on:bd=off:bsr=unit_only:drc=off:fd=preordered:fsd=on:gve=cautious:lcm=reverse:nm=16:plsq=on:plsqc=1:plsqr=232,15:sfv=off:slsq=on:slsql=off:slsqr=3,2:sos=on:sp=weighted_frequency:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/81Mi)
% 3.12/0.90 % (22728)lrs+1010_1:1_bsr=unit_only:cond=on:flr=on:newcnf=on:nwc=10.0:sas=z3:to=lpo:i=360:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/360Mi)
% 3.12/0.90 % (22713)lrs+1011_1:1_br=off:fde=none:norm_ineq=on:nwc=10.0:sas=z3:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:i=160:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/160Mi)
% 3.12/0.90 % (22718)lrs+10_1:1_amm=sco:norm_ineq=on:nwc=3.0:plsq=on:plsqc=2:plsqr=32,1:sas=z3:sp=const_min:tha=off:to=lpo:i=146:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/146Mi)
% 3.12/0.92 % (22717)Refutation not found, incomplete strategy% (22717)------------------------------
% 3.12/0.92 % (22717)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.12/0.92 % (22717)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.12/0.92 % (22717)Termination reason: Refutation not found, incomplete strategy
% 3.12/0.92
% 3.12/0.92 % (22717)Memory used [KB]: 5628
% 3.12/0.92 % (22717)Time elapsed: 0.268 s
% 3.12/0.92 % (22717)Instructions burned: 8 (million)
% 3.12/0.92 % (22717)------------------------------
% 3.12/0.92 % (22717)------------------------------
% 3.12/0.93 % (22715)dis+10_1:1_bd=off:fde=unused:gsp=on:ins=1:norm_ineq=on:sas=z3:sos=all:tha=off:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/370Mi)
% 3.25/0.96 % (22727)lrs+10_1:1_abs=on:ev=cautious:nwc=10.0:s2a=on:sas=z3:tha=off:thi=all:thigen=on:i=230:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/230Mi)
% 3.29/0.98 % (22725)ins+10_1:32_fd=off:fs=off:fsr=off:igrr=4/7:igwr=on:urr=ec_only:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/500Mi)
% 3.29/0.99 % (22733)dis+1004_1:3_av=off:bs=on:plsq=on:i=3721:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/3721Mi)
% 3.29/1.00 % (22736)lrs+10_1:1_av=off:sd=10:sos=all:ss=axioms:st=4.0:i=2416:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2416Mi)
% 3.29/1.00 % (22726)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/488Mi)
% 3.29/1.01 % (22735)ott+1011_1:1_anc=all:avsq=on:avsqc=1:bsr=unit_only:drc=off:erd=off:fs=off:fsr=off:nwc=3.0:s2a=on:s2at=1.5:sac=on:urr=on:i=1705:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1705Mi)
% 3.29/1.01 % (22730)lrs+10_1:1_av=off:fde=none:lwlo=on:nwc=10.0:i=256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/256Mi)
% 3.29/1.03 % (22731)dis+10_1:1_sgt=16:sos=on:spb=goal:ss=axioms:i=1006:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1006Mi)
% 3.29/1.03 % (22737)dis+10_1:64_s2a=on:s2agt=16:slsq=on:slsqc=1:slsqr=1,1:i=1683:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1683Mi)
% 3.29/1.03 % (22726)Refutation not found, incomplete strategy% (22726)------------------------------
% 3.29/1.03 % (22726)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.29/1.03 % (22726)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.29/1.03 % (22726)Termination reason: Refutation not found, incomplete strategy
% 3.29/1.03
% 3.29/1.03 % (22726)Memory used [KB]: 5500
% 3.29/1.03 % (22726)Time elapsed: 0.295 s
% 3.29/1.03 % (22726)Instructions burned: 4 (million)
% 3.29/1.03 % (22726)------------------------------
% 3.29/1.03 % (22726)------------------------------
% 3.39/1.04 % (22720)Instruction limit reached!
% 3.39/1.04 % (22720)------------------------------
% 3.39/1.04 % (22720)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.39/1.05 % (22720)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.39/1.05 % (22720)Termination reason: Unknown
% 3.39/1.05 % (22720)Termination phase: Saturation
% 3.39/1.05
% 3.39/1.05 % (22720)Memory used [KB]: 9850
% 3.39/1.05 % (22720)Time elapsed: 0.301 s
% 3.39/1.05 % (22720)Instructions burned: 275 (million)
% 3.39/1.05 % (22720)------------------------------
% 3.39/1.05 % (22720)------------------------------
% 3.39/1.05 % (22734)ott+10_1:1_bd=preordered:drc=off:fd=preordered:nwc=5.0:sp=reverse_frequency:i=501:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/501Mi)
% 3.59/1.07 % (22731)Refutation not found, incomplete strategy% (22731)------------------------------
% 3.59/1.07 % (22731)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.59/1.07 % (22731)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.59/1.07 % (22731)Termination reason: Refutation not found, incomplete strategy
% 3.59/1.07
% 3.59/1.07 % (22731)Memory used [KB]: 5628
% 3.59/1.07 % (22731)Time elapsed: 0.256 s
% 3.59/1.07 % (22731)Instructions burned: 9 (million)
% 3.59/1.07 % (22731)------------------------------
% 3.59/1.07 % (22731)------------------------------
% 3.59/1.10 % (22709)Instruction limit reached!
% 3.59/1.10 % (22709)------------------------------
% 3.59/1.10 % (22709)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.59/1.10 % (22709)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.59/1.10 % (22709)Termination reason: Unknown
% 3.59/1.10 % (22709)Termination phase: Saturation
% 3.59/1.10
% 3.59/1.10 % (22709)Memory used [KB]: 1535
% 3.59/1.10 % (22709)Time elapsed: 0.468 s
% 3.59/1.10 % (22709)Instructions burned: 223 (million)
% 3.59/1.10 % (22709)------------------------------
% 3.59/1.10 % (22709)------------------------------
% 3.59/1.11 % (22712)Instruction limit reached!
% 3.59/1.11 % (22712)------------------------------
% 3.59/1.11 % (22712)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.59/1.11 % (22712)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.59/1.11 % (22712)Termination reason: Unknown
% 3.59/1.11 % (22712)Termination phase: Saturation
% 3.59/1.11
% 3.59/1.11 % (22712)Memory used [KB]: 1407
% 3.59/1.11 % (22712)Time elapsed: 0.462 s
% 3.59/1.11 % (22712)Instructions burned: 150 (million)
% 3.59/1.11 % (22712)------------------------------
% 3.59/1.11 % (22712)------------------------------
% 6.45/1.17 % (22741)ott+10_6715:511922_awrs=decay:awrsf=1:bd=preordered:bs=on:drc=off:fd=preordered:nwc=5.0:sp=frequency:spb=goal_then_units:uwa=interpreted_only:i=3528:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/3528Mi)
% 6.77/1.23 % (22707)Instruction limit reached!
% 6.77/1.23 % (22707)------------------------------
% 6.77/1.23 % (22707)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.77/1.23 % (22707)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.77/1.23 % (22707)Termination reason: Unknown
% 6.77/1.23 % (22707)Termination phase: Saturation
% 6.77/1.23
% 6.77/1.23 % (22707)Memory used [KB]: 11129
% 6.77/1.23 % (22707)Time elapsed: 0.590 s
% 6.77/1.23 % (22707)Instructions burned: 463 (million)
% 6.77/1.23 % (22707)------------------------------
% 6.77/1.23 % (22707)------------------------------
% 6.77/1.23 % (22739)lrs+10_1:1_afp=1:sac=on:sas=z3:tha=off:i=113:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/113Mi)
% 6.77/1.24 % (22738)dis+1011_1:1_av=off:fsr=off:nm=6:plsq=on:s2a=on:s2at=3.0:slsq=on:slsqc=0:slsqr=1,8:sp=frequency:to=lpo:i=330:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/330Mi)
% 7.44/1.28 % (22743)dis+1011_1:1_abs=on:bd=off:flr=on:nm=0:s2at=3.0:sas=z3:sfv=off:slsq=on:slsqc=2:slsqr=46,31:sp=const_frequency:tgt=ground:tha=some:thi=overlap:thitd=on:thsq=on:thsqc=32:thsqd=32:thsqr=7,4:i=3780:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/3780Mi)
% 7.62/1.32 % (22710)Instruction limit reached!
% 7.62/1.32 % (22710)------------------------------
% 7.62/1.32 % (22710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.62/1.32 % (22710)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.62/1.32 % (22710)Termination reason: Unknown
% 7.62/1.32 % (22710)Termination phase: Saturation
% 7.62/1.32
% 7.62/1.32 % (22710)Memory used [KB]: 4221
% 7.62/1.32 % (22710)Time elapsed: 0.646 s
% 7.62/1.32 % (22710)Instructions burned: 344 (million)
% 7.62/1.32 % (22710)------------------------------
% 7.62/1.32 % (22710)------------------------------
% 7.77/1.32 % (22718)Instruction limit reached!
% 7.77/1.32 % (22718)------------------------------
% 7.77/1.32 % (22718)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.77/1.32 % (22718)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.77/1.32 % (22718)Termination reason: Unknown
% 7.77/1.32 % (22718)Termination phase: Saturation
% 7.77/1.32
% 7.77/1.32 % (22718)Memory used [KB]: 1407
% 7.77/1.32 % (22718)Time elapsed: 0.639 s
% 7.77/1.32 % (22718)Instructions burned: 147 (million)
% 7.77/1.32 % (22718)------------------------------
% 7.77/1.32 % (22718)------------------------------
% 7.77/1.36 % (22745)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=656:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/656Mi)
% 7.77/1.38 % (22744)lrs+10_1:32_newcnf=on:sas=z3:tgt=ground:tha=off:i=238:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/238Mi)
% 7.77/1.38 % (22723)Refutation not found, non-redundant clauses discarded% (22723)------------------------------
% 7.77/1.38 % (22723)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.77/1.38 % (22723)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.77/1.38 % (22723)Termination reason: Refutation not found, non-redundant clauses discarded
% 7.77/1.38
% 7.77/1.38 % (22723)Memory used [KB]: 7164
% 7.77/1.38 % (22723)Time elapsed: 0.689 s
% 7.77/1.38 % (22723)Instructions burned: 212 (million)
% 7.77/1.38 % (22723)------------------------------
% 7.77/1.38 % (22723)------------------------------
% 7.77/1.38 % (22719)Instruction limit reached!
% 7.77/1.38 % (22719)------------------------------
% 7.77/1.38 % (22719)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.77/1.38 % (22719)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.77/1.38 % (22719)Termination reason: Unknown
% 7.77/1.38 % (22719)Termination phase: Saturation
% 7.77/1.38
% 7.77/1.38 % (22719)Memory used [KB]: 9338
% 7.77/1.38 % (22719)Time elapsed: 0.679 s
% 7.77/1.38 % (22719)Instructions burned: 212 (million)
% 7.77/1.38 % (22719)------------------------------
% 7.77/1.38 % (22719)------------------------------
% 7.77/1.40 % (22740)lrs+10_1:1_ep=RS:fsr=off:sos=all:i=3217:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/3217Mi)
% 7.77/1.41 % (22742)lrs+1011_1:6_aac=none:afr=on:bce=on:bsr=unit_only:canc=cautious:cond=fast:fde=unused:newcnf=on:nwc=3.0:s2a=on:s2agt=40:sas=z3:sfv=off:sp=weighted_frequency:spb=units:tha=off:to=lpo:i=2304:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/2304Mi)
% 7.77/1.41 % (22729)Instruction limit reached!
% 7.77/1.41 % (22729)------------------------------
% 7.77/1.41 % (22729)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.77/1.41 % (22729)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.77/1.41 % (22729)Termination reason: Unknown
% 7.77/1.41 % (22729)Termination phase: Saturation
% 7.77/1.41
% 7.77/1.41 % (22729)Memory used [KB]: 3070
% 7.77/1.41 % (22729)Time elapsed: 0.655 s
% 7.77/1.41 % (22729)Instructions burned: 384 (million)
% 7.77/1.41 % (22729)------------------------------
% 7.77/1.41 % (22729)------------------------------
% 8.36/1.42 % (22713)Instruction limit reached!
% 8.36/1.42 % (22713)------------------------------
% 8.36/1.42 % (22713)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.36/1.42 % (22713)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.36/1.42 % (22713)Termination reason: Unknown
% 8.36/1.42 % (22713)Termination phase: Saturation
% 8.36/1.42
% 8.36/1.42 % (22713)Memory used [KB]: 2046
% 8.36/1.42 % (22713)Time elapsed: 0.748 s
% 8.36/1.42 % (22713)Instructions burned: 160 (million)
% 8.36/1.42 % (22713)------------------------------
% 8.36/1.42 % (22713)------------------------------
% 8.36/1.43 % (22722)Refutation not found, non-redundant clauses discarded% (22722)------------------------------
% 8.36/1.43 % (22722)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.36/1.43 % (22722)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.36/1.43 % (22722)Termination reason: Refutation not found, non-redundant clauses discarded
% 8.36/1.43
% 8.36/1.43 % (22722)Memory used [KB]: 1535
% 8.36/1.43 % (22722)Time elapsed: 0.720 s
% 8.36/1.43 % (22722)Instructions burned: 287 (million)
% 8.36/1.43 % (22722)------------------------------
% 8.36/1.43 % (22722)------------------------------
% 8.36/1.46 % (22708)Instruction limit reached!
% 8.36/1.46 % (22708)------------------------------
% 8.36/1.46 % (22708)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.36/1.46 % (22708)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.36/1.46 % (22708)Termination reason: Unknown
% 8.36/1.46 % (22708)Termination phase: Saturation
% 8.36/1.46
% 8.36/1.46 % (22708)Memory used [KB]: 6652
% 8.36/1.46 % (22708)Time elapsed: 0.834 s
% 8.36/1.46 % (22708)Instructions burned: 495 (million)
% 8.36/1.46 % (22708)------------------------------
% 8.36/1.46 % (22708)------------------------------
% 8.88/1.50 % (22746)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=485:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/485Mi)
% 8.88/1.51 % (22721)Instruction limit reached!
% 8.88/1.51 % (22721)------------------------------
% 8.88/1.51 % (22721)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.88/1.51 % (22721)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.88/1.51 % (22721)Termination reason: Unknown
% 8.88/1.51 % (22721)Termination phase: Saturation
% 8.88/1.51
% 8.88/1.51 % (22721)Memory used [KB]: 9978
% 8.88/1.51 % (22721)Time elapsed: 0.798 s
% 8.88/1.51 % (22721)Instructions burned: 330 (million)
% 8.88/1.51 % (22721)------------------------------
% 8.88/1.51 % (22721)------------------------------
% 8.88/1.52 % (22739)Instruction limit reached!
% 8.88/1.52 % (22739)------------------------------
% 8.88/1.52 % (22739)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.88/1.52 % (22739)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.88/1.52 % (22739)Termination reason: Unknown
% 8.88/1.52 % (22739)Termination phase: Saturation
% 8.88/1.52
% 8.88/1.52 % (22739)Memory used [KB]: 1023
% 8.88/1.52 % (22739)Time elapsed: 0.545 s
% 8.88/1.52 % (22739)Instructions burned: 113 (million)
% 8.88/1.52 % (22739)------------------------------
% 8.88/1.52 % (22739)------------------------------
% 9.30/1.59 % (22724)First to succeed.
% 9.30/1.59 % (22750)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=638:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/638Mi)
% 9.30/1.59 % (22750)Refutation not found, incomplete strategy% (22750)------------------------------
% 9.30/1.59 % (22750)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.30/1.59 % (22750)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.30/1.59 % (22750)Termination reason: Refutation not found, incomplete strategy
% 9.30/1.59
% 9.30/1.59 % (22750)Memory used [KB]: 5500
% 9.30/1.59 % (22750)Time elapsed: 0.130 s
% 9.30/1.59 % (22750)Instructions burned: 5 (million)
% 9.30/1.59 % (22750)------------------------------
% 9.30/1.59 % (22750)------------------------------
% 9.30/1.60 % (22727)Refutation not found, non-redundant clauses discarded% (22727)------------------------------
% 9.30/1.60 % (22727)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.30/1.60 % (22727)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.30/1.60 % (22727)Termination reason: Refutation not found, non-redundant clauses discarded
% 9.30/1.60
% 9.30/1.60 % (22727)Memory used [KB]: 1791
% 9.30/1.60 % (22727)Time elapsed: 0.868 s
% 9.30/1.60 % (22727)Instructions burned: 228 (million)
% 9.30/1.60 % (22727)------------------------------
% 9.30/1.60 % (22727)------------------------------
% 9.30/1.60 % (22748)lrs+1011_4:1_abs=on:afp=20:amm=off:anc=all:bd=off:br=off:canc=force:s2a=on:sas=z3:slsq=on:urr=on:i=980:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/980Mi)
% 9.50/1.61 % (22749)ins+10_1:32_fd=off:fs=off:fsr=off:igrr=4/7:igwr=on:urr=ec_only:i=591:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/591Mi)
% 9.50/1.64 % (22724)Refutation found. Thanks to Tanya!
% 9.50/1.64 % SZS status Theorem for theBenchmark
% 9.50/1.64 % SZS output start Proof for theBenchmark
% See solution above
% 9.50/1.65 % (22724)------------------------------
% 9.50/1.65 % (22724)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.50/1.65 % (22724)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.50/1.65 % (22724)Termination reason: Refutation
% 9.50/1.65
% 9.50/1.65 % (22724)Memory used [KB]: 2558
% 9.50/1.65 % (22724)Time elapsed: 0.880 s
% 9.50/1.65 % (22724)Instructions burned: 332 (million)
% 9.50/1.65 % (22724)------------------------------
% 9.50/1.65 % (22724)------------------------------
% 9.50/1.65 % (22667)Success in time 1.325 s
%------------------------------------------------------------------------------