TSTP Solution File: SEV424_1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV424_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n021.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 : Mon Jun 24 16:03:48 EDT 2024
% Result : Theorem 4.81s 1.03s
% Output : Refutation 4.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 173
% Syntax : Number of formulae : 828 ( 46 unt; 0 typ; 0 def)
% Number of atoms : 2249 ( 492 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 2525 (1104 ~;1179 |; 66 &)
% ( 167 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number arithmetic : 293 ( 0 atm; 140 fun; 153 num; 0 var)
% Number of types : 4 ( 2 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 152 ( 150 usr; 149 prp; 0-2 aty)
% Number of functors : 29 ( 24 usr; 21 con; 0-2 aty)
% Number of variables : 289 ( 266 !; 23 ?; 289 :)
% 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: element ).
tff(func_def_16,type,
sK4: element ).
tff(func_def_17,type,
sK5: set ).
tff(func_def_18,type,
sF6: set ).
tff(func_def_19,type,
sF7: set ).
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: $int ).
tff(func_def_25,type,
sF13: $int ).
tff(func_def_26,type,
sF14: $int ).
tff(func_def_27,type,
sF15: set ).
tff(func_def_28,type,
sF16: set ).
tff(pred_def_1,type,
member: ( element * set ) > $o ).
tff(pred_def_2,type,
subset: ( set * set ) > $o ).
tff(f3124,plain,
$false,
inference(avatar_smt_refutation,[],[f119,f123,f127,f131,f135,f139,f143,f147,f151,f155,f159,f163,f167,f171,f175,f179,f183,f189,f193,f198,f213,f233,f240,f262,f295,f309,f333,f345,f365,f369,f377,f390,f394,f405,f419,f454,f466,f480,f505,f531,f552,f643,f662,f663,f664,f671,f679,f680,f686,f693,f700,f707,f712,f721,f725,f732,f739,f746,f754,f757,f763,f766,f789,f792,f820,f828,f833,f845,f870,f897,f906,f907,f909,f919,f927,f933,f939,f943,f948,f955,f962,f967,f975,f1035,f1076,f1084,f1091,f1097,f1104,f1108,f1112,f1118,f1122,f1126,f1132,f1228,f1303,f1328,f1400,f1416,f1442,f1457,f1498,f1510,f1563,f1567,f1571,f1595,f1623,f1648,f1688,f1704,f1723,f1741,f1779,f1795,f1823,f1869,f1898,f1918,f1920,f1991,f2040,f2061,f2066,f2083,f2088,f2092,f2098,f2105,f2114,f2139,f2197,f2216,f2272,f2280,f2287,f2294,f2302,f2323,f2387,f2422,f2424,f2435,f2437,f2547,f2632,f2637,f2646,f2651,f2656,f2823,f2830,f2859,f2877,f2909,f2913,f2916,f2939,f2962,f2969,f3019,f3046,f3062,f3080,f3096,f3119]) ).
tff(f3119,plain,
( ~ spl17_9
| spl17_43
| spl17_62 ),
inference(avatar_contradiction_clause,[],[f3118]) ).
tff(f3118,plain,
( $false
| ~ spl17_9
| spl17_43
| spl17_62 ),
inference(subsumption_resolution,[],[f3109,f551]) ).
tff(f551,plain,
( ~ member(sK2,sF9)
| spl17_43 ),
inference(avatar_component_clause,[],[f550]) ).
tff(f550,plain,
( spl17_43
<=> member(sK2,sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_43])]) ).
tff(f3109,plain,
( member(sK2,sF9)
| ~ spl17_9
| spl17_62 ),
inference(trivial_inequality_removal,[],[f3106]) ).
tff(f3106,plain,
( member(sK2,sF9)
| ( empty_set != empty_set )
| ~ spl17_9
| spl17_62 ),
inference(superposition,[],[f750,f1714]) ).
tff(f1714,plain,
( ! [X0: set] :
( ( empty_set = intersection(X0,sF10) )
| member(sK2,X0) )
| ~ spl17_9 ),
inference(duplicate_literal_removal,[],[f1710]) ).
tff(f1710,plain,
( ! [X0: set] :
( ( empty_set = intersection(X0,sF10) )
| member(sK2,X0)
| ( empty_set = intersection(X0,sF10) ) )
| ~ spl17_9 ),
inference(superposition,[],[f241,f599]) ).
tff(f599,plain,
( ! [X0: set] :
( ( sK2 = sK0(intersection(X0,sF10)) )
| ( empty_set = intersection(X0,sF10) ) )
| ~ spl17_9 ),
inference(resolution,[],[f226,f207]) ).
tff(f207,plain,
( ! [X0: element] :
( ~ member(X0,sF10)
| ( sK2 = X0 ) )
| ~ spl17_9 ),
inference(superposition,[],[f83,f150]) ).
tff(f150,plain,
( ( singleton(sK2) = sF10 )
| ~ spl17_9 ),
inference(avatar_component_clause,[],[f149]) ).
tff(f149,plain,
( spl17_9
<=> ( singleton(sK2) = sF10 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_9])]) ).
tff(f83,plain,
! [X0: element,X1: element] :
( ~ member(X1,singleton(X0))
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f55]) ).
tff(f55,plain,
! [X0: element,X1: element] :
( ( member(X1,singleton(X0))
| ( X0 != X1 ) )
& ( ( X0 = X1 )
| ~ member(X1,singleton(X0)) ) ),
inference(rectify,[],[f54]) ).
tff(f54,plain,
! [X1: element,X0: element] :
( ( member(X0,singleton(X1))
| ( X0 != X1 ) )
& ( ( X0 = X1 )
| ~ member(X0,singleton(X1)) ) ),
inference(nnf_transformation,[],[f31]) ).
tff(f31,plain,
! [X1: element,X0: element] :
( member(X0,singleton(X1))
<=> ( X0 = X1 ) ),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X1: element,X2: element] :
( ( X1 = X2 )
<=> member(X1,singleton(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f226,plain,
! [X0: set,X1: set] :
( member(sK0(intersection(X0,X1)),X1)
| ( empty_set = intersection(X0,X1) ) ),
inference(resolution,[],[f96,f69]) ).
tff(f69,plain,
! [X0: set] :
( member(sK0(X0),X0)
| ( empty_set = X0 ) ),
inference(cnf_transformation,[],[f44]) ).
tff(f44,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])],[f42,f43]) ).
tff(f43,plain,
! [X0: set] :
( ? [X1: element] : member(X1,X0)
=> member(sK0(X0),X0) ),
introduced(choice_axiom,[]) ).
tff(f42,plain,
! [X0: set] :
( ( ( empty_set = X0 )
| ? [X1: element] : member(X1,X0) )
& ( ! [X2: element] : ~ member(X2,X0)
| ( empty_set != X0 ) ) ),
inference(rectify,[],[f41]) ).
tff(f41,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/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f96,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,[],[f36]) ).
tff(f36,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,X3)
& member(X1,X2) )
<=> member(X1,intersection(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f241,plain,
! [X0: set,X1: set] :
( member(sK0(intersection(X0,X1)),X0)
| ( empty_set = intersection(X0,X1) ) ),
inference(resolution,[],[f97,f69]) ).
tff(f97,plain,
! [X2: set,X0: set,X1: element] :
( ~ member(X1,intersection(X0,X2))
| member(X1,X0) ),
inference(cnf_transformation,[],[f67]) ).
tff(f750,plain,
( ( empty_set != intersection(sF9,sF10) )
| spl17_62 ),
inference(avatar_component_clause,[],[f749]) ).
tff(f749,plain,
( spl17_62
<=> ( empty_set = intersection(sF9,sF10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_62])]) ).
tff(f3096,plain,
( ~ spl17_148
| spl17_133
| ~ spl17_95 ),
inference(avatar_split_clause,[],[f3064,f1130,f2270,f3094]) ).
tff(f3094,plain,
( spl17_148
<=> ( 0 = $sum(2,sF13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_148])]) ).
tff(f2270,plain,
( spl17_133
<=> ( empty_set = sF9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_133])]) ).
tff(f1130,plain,
( spl17_95
<=> ( cardinality(sF9) = $sum(2,sF13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_95])]) ).
tff(f3064,plain,
( ( empty_set = sF9 )
| ( 0 != $sum(2,sF13) )
| ~ spl17_95 ),
inference(superposition,[],[f71,f3061]) ).
tff(f3061,plain,
( ( cardinality(sF9) = $sum(2,sF13) )
| ~ spl17_95 ),
inference(avatar_component_clause,[],[f1130]) ).
tff(f71,plain,
! [X0: set] :
( ( cardinality(X0) != 0 )
| ( empty_set = X0 ) ),
inference(cnf_transformation,[],[f46]) ).
tff(f46,plain,
! [X0: set] :
( ( ( cardinality(X0) = 0 )
| ( empty_set != X0 ) )
& ( ( empty_set = X0 )
| ( cardinality(X0) != 0 ) ) ),
inference(nnf_transformation,[],[f8]) ).
tff(f8,axiom,
! [X0: set] :
( ( cardinality(X0) = 0 )
<=> ( empty_set = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f3080,plain,
( ~ spl17_147
| ~ spl17_55
| ~ spl17_87
| ~ spl17_88
| spl17_89 ),
inference(avatar_split_clause,[],[f3063,f1102,f1095,f1089,f719,f3078]) ).
tff(f3078,plain,
( spl17_147
<=> ( sF12 = $sum(3,sF13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_147])]) ).
tff(f719,plain,
( spl17_55
<=> ( $sum(cardinality(sF7),cardinality(sF8)) = cardinality(sF9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_55])]) ).
tff(f1089,plain,
( spl17_87
<=> ( cardinality(sF7) = $sum(sF13,1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_87])]) ).
tff(f1095,plain,
( spl17_88
<=> ( 1 = cardinality(sF8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_88])]) ).
tff(f1102,plain,
( spl17_89
<=> ( sF12 = $sum(cardinality(sF9),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_89])]) ).
tff(f3063,plain,
( ( sF12 != $sum(3,sF13) )
| ~ spl17_55
| ~ spl17_87
| ~ spl17_88
| spl17_89 ),
inference(evaluation,[],[f3060]) ).
tff(f3060,plain,
( ( sF12 != $sum($sum(2,sF13),1) )
| ~ spl17_55
| ~ spl17_87
| ~ spl17_88
| spl17_89 ),
inference(backward_demodulation,[],[f1103,f2982]) ).
tff(f2982,plain,
( ( cardinality(sF9) = $sum(2,sF13) )
| ~ spl17_55
| ~ spl17_87
| ~ spl17_88 ),
inference(evaluation,[],[f2981]) ).
tff(f2981,plain,
( ( cardinality(sF9) = $sum($sum(sF13,1),1) )
| ~ spl17_55
| ~ spl17_87
| ~ spl17_88 ),
inference(forward_demodulation,[],[f2980,f2858]) ).
tff(f2858,plain,
( ( cardinality(sF7) = $sum(sF13,1) )
| ~ spl17_87 ),
inference(avatar_component_clause,[],[f1089]) ).
tff(f2980,plain,
( ( cardinality(sF9) = $sum(cardinality(sF7),1) )
| ~ spl17_55
| ~ spl17_88 ),
inference(forward_demodulation,[],[f720,f1096]) ).
tff(f1096,plain,
( ( 1 = cardinality(sF8) )
| ~ spl17_88 ),
inference(avatar_component_clause,[],[f1095]) ).
tff(f720,plain,
( ( $sum(cardinality(sF7),cardinality(sF8)) = cardinality(sF9) )
| ~ spl17_55 ),
inference(avatar_component_clause,[],[f719]) ).
tff(f1103,plain,
( ( sF12 != $sum(cardinality(sF9),1) )
| spl17_89 ),
inference(avatar_component_clause,[],[f1102]) ).
tff(f3062,plain,
( spl17_95
| ~ spl17_55
| ~ spl17_87
| ~ spl17_88 ),
inference(avatar_split_clause,[],[f2982,f1095,f1089,f719,f1130]) ).
tff(f3046,plain,
( ~ spl17_138
| ~ spl17_58
| ~ spl17_139 ),
inference(avatar_split_clause,[],[f3023,f2300,f730,f2297]) ).
tff(f2297,plain,
( spl17_138
<=> member(sK0(sF16),sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_138])]) ).
tff(f730,plain,
( spl17_58
<=> ( empty_set = intersection(sF15,sF8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_58])]) ).
tff(f2300,plain,
( spl17_139
<=> member(sK0(sF16),sF15) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_139])]) ).
tff(f3023,plain,
( ~ member(sK0(sF16),sF8)
| ~ spl17_58
| ~ spl17_139 ),
inference(resolution,[],[f3017,f2301]) ).
tff(f2301,plain,
( member(sK0(sF16),sF15)
| ~ spl17_139 ),
inference(avatar_component_clause,[],[f2300]) ).
tff(f3017,plain,
( ! [X0: element] :
( ~ member(X0,sF15)
| ~ member(X0,sF8) )
| ~ spl17_58 ),
inference(subsumption_resolution,[],[f3012,f99]) ).
tff(f99,plain,
! [X2: element] : ~ member(X2,empty_set),
inference(equality_resolution,[],[f68]) ).
tff(f68,plain,
! [X2: element,X0: set] :
( ~ member(X2,X0)
| ( empty_set != X0 ) ),
inference(cnf_transformation,[],[f44]) ).
tff(f3012,plain,
( ! [X0: element] :
( ~ member(X0,sF15)
| member(X0,empty_set)
| ~ member(X0,sF8) )
| ~ spl17_58 ),
inference(superposition,[],[f98,f765]) ).
tff(f765,plain,
( ( empty_set = intersection(sF15,sF8) )
| ~ spl17_58 ),
inference(avatar_component_clause,[],[f730]) ).
tff(f98,plain,
! [X2: set,X0: set,X1: element] :
( member(X1,intersection(X0,X2))
| ~ member(X1,X0)
| ~ member(X1,X2) ),
inference(cnf_transformation,[],[f67]) ).
tff(f3019,plain,
( spl17_145
| ~ spl17_92
| ~ spl17_93 ),
inference(avatar_split_clause,[],[f2974,f1120,f1116,f2911]) ).
tff(f2911,plain,
( spl17_145
<=> ( cardinality(sF16) = $sum(2,cardinality(sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_145])]) ).
tff(f1116,plain,
( spl17_92
<=> ( cardinality(sF15) = $sum(cardinality(sK1),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_92])]) ).
tff(f1120,plain,
( spl17_93
<=> ( cardinality(sF16) = $sum(cardinality(sF15),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_93])]) ).
tff(f2974,plain,
( ( cardinality(sF16) = $sum(2,cardinality(sK1)) )
| ~ spl17_92
| ~ spl17_93 ),
inference(evaluation,[],[f2973]) ).
tff(f2973,plain,
( ( cardinality(sF16) = $sum($sum(cardinality(sK1),1),1) )
| ~ spl17_92
| ~ spl17_93 ),
inference(forward_demodulation,[],[f1990,f2876]) ).
tff(f2876,plain,
( ( cardinality(sF15) = $sum(cardinality(sK1),1) )
| ~ spl17_92 ),
inference(avatar_component_clause,[],[f1116]) ).
tff(f1990,plain,
( ( cardinality(sF16) = $sum(cardinality(sF15),1) )
| ~ spl17_93 ),
inference(avatar_component_clause,[],[f1120]) ).
tff(f2969,plain,
( spl17_4
| ~ spl17_8
| spl17_58 ),
inference(avatar_contradiction_clause,[],[f2968]) ).
tff(f2968,plain,
( $false
| spl17_4
| ~ spl17_8
| spl17_58 ),
inference(subsumption_resolution,[],[f2951,f130]) ).
tff(f130,plain,
( ~ member(sK4,sF15)
| spl17_4 ),
inference(avatar_component_clause,[],[f129]) ).
tff(f129,plain,
( spl17_4
<=> member(sK4,sF15) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_4])]) ).
tff(f2951,plain,
( member(sK4,sF15)
| ~ spl17_8
| spl17_58 ),
inference(trivial_inequality_removal,[],[f2950]) ).
tff(f2950,plain,
( ( empty_set != empty_set )
| member(sK4,sF15)
| ~ spl17_8
| spl17_58 ),
inference(superposition,[],[f731,f1694]) ).
tff(f1694,plain,
( ! [X0: set] :
( ( empty_set = intersection(X0,sF8) )
| member(sK4,X0) )
| ~ spl17_8 ),
inference(duplicate_literal_removal,[],[f1691]) ).
tff(f1691,plain,
( ! [X0: set] :
( ( empty_set = intersection(X0,sF8) )
| ( empty_set = intersection(X0,sF8) )
| member(sK4,X0) )
| ~ spl17_8 ),
inference(superposition,[],[f241,f598]) ).
tff(f598,plain,
( ! [X0: set] :
( ( sK4 = sK0(intersection(X0,sF8)) )
| ( empty_set = intersection(X0,sF8) ) )
| ~ spl17_8 ),
inference(resolution,[],[f226,f206]) ).
tff(f206,plain,
( ! [X0: element] :
( ~ member(X0,sF8)
| ( sK4 = X0 ) )
| ~ spl17_8 ),
inference(superposition,[],[f83,f146]) ).
tff(f146,plain,
( ( singleton(sK4) = sF8 )
| ~ spl17_8 ),
inference(avatar_component_clause,[],[f145]) ).
tff(f145,plain,
( spl17_8
<=> ( singleton(sK4) = sF8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_8])]) ).
tff(f731,plain,
( ( empty_set != intersection(sF15,sF8) )
| spl17_58 ),
inference(avatar_component_clause,[],[f730]) ).
tff(f2962,plain,
( ~ spl17_8
| spl17_35
| spl17_54 ),
inference(avatar_contradiction_clause,[],[f2961]) ).
tff(f2961,plain,
( $false
| ~ spl17_8
| spl17_35
| spl17_54 ),
inference(subsumption_resolution,[],[f2954,f393]) ).
tff(f393,plain,
( ~ member(sK4,sF7)
| spl17_35 ),
inference(avatar_component_clause,[],[f392]) ).
tff(f392,plain,
( spl17_35
<=> member(sK4,sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_35])]) ).
tff(f2954,plain,
( member(sK4,sF7)
| ~ spl17_8
| spl17_54 ),
inference(trivial_inequality_removal,[],[f2949]) ).
tff(f2949,plain,
( ( empty_set != empty_set )
| member(sK4,sF7)
| ~ spl17_8
| spl17_54 ),
inference(superposition,[],[f717,f1694]) ).
tff(f717,plain,
( ( empty_set != intersection(sF7,sF8) )
| spl17_54 ),
inference(avatar_component_clause,[],[f716]) ).
tff(f716,plain,
( spl17_54
<=> ( empty_set = intersection(sF7,sF8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_54])]) ).
tff(f2939,plain,
( ~ spl17_146
| ~ spl17_52
| ~ spl17_85
| spl17_126 ),
inference(avatar_split_clause,[],[f2878,f2109,f1074,f698,f2937]) ).
tff(f2937,plain,
( spl17_146
<=> ( 0 = $sum(2,cardinality(sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_146])]) ).
tff(f698,plain,
( spl17_52
<=> ( $sum(cardinality(sK1),cardinality(sF6)) = cardinality(sF15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_52])]) ).
tff(f1074,plain,
( spl17_85
<=> ( 1 = cardinality(sF6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_85])]) ).
tff(f2109,plain,
( spl17_126
<=> ( 0 = $sum(cardinality(sF15),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_126])]) ).
tff(f2878,plain,
( ( 0 != $sum(2,cardinality(sK1)) )
| ~ spl17_52
| ~ spl17_85
| spl17_126 ),
inference(evaluation,[],[f2875]) ).
tff(f2875,plain,
( ( 0 != $sum($sum(cardinality(sK1),1),1) )
| ~ spl17_52
| ~ spl17_85
| spl17_126 ),
inference(backward_demodulation,[],[f2110,f2842]) ).
tff(f2842,plain,
( ( cardinality(sF15) = $sum(cardinality(sK1),1) )
| ~ spl17_52
| ~ spl17_85 ),
inference(forward_demodulation,[],[f699,f1075]) ).
tff(f1075,plain,
( ( 1 = cardinality(sF6) )
| ~ spl17_85 ),
inference(avatar_component_clause,[],[f1074]) ).
tff(f699,plain,
( ( $sum(cardinality(sK1),cardinality(sF6)) = cardinality(sF15) )
| ~ spl17_52 ),
inference(avatar_component_clause,[],[f698]) ).
tff(f2110,plain,
( ( 0 != $sum(cardinality(sF15),1) )
| spl17_126 ),
inference(avatar_component_clause,[],[f2109]) ).
tff(f2916,plain,
( spl17_51
| ~ spl17_16
| ~ spl17_85
| ~ spl17_92 ),
inference(avatar_split_clause,[],[f2914,f1116,f1074,f177,f695]) ).
tff(f695,plain,
( spl17_51
<=> ( empty_set = intersection(sK1,sF6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_51])]) ).
tff(f177,plain,
( spl17_16
<=> ( union(sK1,sF6) = sF15 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_16])]) ).
tff(f2914,plain,
( ( empty_set = intersection(sK1,sF6) )
| ~ spl17_16
| ~ spl17_85
| ~ spl17_92 ),
inference(subsumption_resolution,[],[f2837,f2876]) ).
tff(f2837,plain,
( ( empty_set = intersection(sK1,sF6) )
| ( cardinality(sF15) != $sum(cardinality(sK1),1) )
| ~ spl17_16
| ~ spl17_85 ),
inference(forward_demodulation,[],[f435,f1075]) ).
tff(f435,plain,
( ( empty_set = intersection(sK1,sF6) )
| ( $sum(cardinality(sK1),cardinality(sF6)) != cardinality(sF15) )
| ~ spl17_16 ),
inference(superposition,[],[f93,f178]) ).
tff(f178,plain,
( ( union(sK1,sF6) = sF15 )
| ~ spl17_16 ),
inference(avatar_component_clause,[],[f177]) ).
tff(f93,plain,
! [X0: set,X1: set] :
( ( cardinality(union(X1,X0)) != $sum(cardinality(X1),cardinality(X0)) )
| ( empty_set = intersection(X1,X0) ) ),
inference(cnf_transformation,[],[f62]) ).
tff(f62,plain,
! [X0: set,X1: set] :
( ( ( empty_set = intersection(X1,X0) )
| ( cardinality(union(X1,X0)) != $sum(cardinality(X1),cardinality(X0)) ) )
& ( ( cardinality(union(X1,X0)) = $sum(cardinality(X1),cardinality(X0)) )
| ( empty_set != intersection(X1,X0) ) ) ),
inference(nnf_transformation,[],[f30]) ).
tff(f30,plain,
! [X0: set,X1: set] :
( ( empty_set = intersection(X1,X0) )
<=> ( cardinality(union(X1,X0)) = $sum(cardinality(X1),cardinality(X0)) ) ),
inference(rectify,[],[f12]) ).
tff(f12,axiom,
! [X3: set,X2: set] :
( ( cardinality(union(X2,X3)) = $sum(cardinality(X2),cardinality(X3)) )
<=> ( empty_set = intersection(X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f2913,plain,
( ~ spl17_145
| ~ spl17_52
| ~ spl17_85
| spl17_93 ),
inference(avatar_split_clause,[],[f2879,f1120,f1074,f698,f2911]) ).
tff(f2879,plain,
( ( cardinality(sF16) != $sum(2,cardinality(sK1)) )
| ~ spl17_52
| ~ spl17_85
| spl17_93 ),
inference(evaluation,[],[f2874]) ).
tff(f2874,plain,
( ( cardinality(sF16) != $sum($sum(cardinality(sK1),1),1) )
| ~ spl17_52
| ~ spl17_85
| spl17_93 ),
inference(backward_demodulation,[],[f1121,f2842]) ).
tff(f1121,plain,
( ( cardinality(sF16) != $sum(cardinality(sF15),1) )
| spl17_93 ),
inference(avatar_component_clause,[],[f1120]) ).
tff(f2909,plain,
( ~ spl17_144
| spl17_114
| ~ spl17_87 ),
inference(avatar_split_clause,[],[f2861,f1089,f1787,f2907]) ).
tff(f2907,plain,
( spl17_144
<=> ( 0 = $sum(sF13,1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_144])]) ).
tff(f1787,plain,
( spl17_114
<=> ( empty_set = sF7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_114])]) ).
tff(f2861,plain,
( ( 0 != $sum(sF13,1) )
| ( empty_set = sF7 )
| ~ spl17_87 ),
inference(superposition,[],[f71,f2858]) ).
tff(f2877,plain,
( spl17_92
| ~ spl17_52
| ~ spl17_85 ),
inference(avatar_split_clause,[],[f2842,f1074,f698,f1116]) ).
tff(f2859,plain,
( spl17_87
| ~ spl17_60
| ~ spl17_85 ),
inference(avatar_split_clause,[],[f2841,f1074,f741,f1089]) ).
tff(f741,plain,
( spl17_60
<=> ( cardinality(sF7) = $sum(sF13,cardinality(sF6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_60])]) ).
tff(f2841,plain,
( ( cardinality(sF7) = $sum(sF13,1) )
| ~ spl17_60
| ~ spl17_85 ),
inference(forward_demodulation,[],[f742,f1075]) ).
tff(f742,plain,
( ( cardinality(sF7) = $sum(sF13,cardinality(sF6)) )
| ~ spl17_60 ),
inference(avatar_component_clause,[],[f741]) ).
tff(f2830,plain,
( spl17_1
| ~ spl17_7
| spl17_51 ),
inference(avatar_contradiction_clause,[],[f2829]) ).
tff(f2829,plain,
( $false
| spl17_1
| ~ spl17_7
| spl17_51 ),
inference(subsumption_resolution,[],[f2814,f118]) ).
tff(f118,plain,
( ~ member(sK3,sK1)
| spl17_1 ),
inference(avatar_component_clause,[],[f117]) ).
tff(f117,plain,
( spl17_1
<=> member(sK3,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).
tff(f2814,plain,
( member(sK3,sK1)
| ~ spl17_7
| spl17_51 ),
inference(trivial_inequality_removal,[],[f2812]) ).
tff(f2812,plain,
( ( empty_set != empty_set )
| member(sK3,sK1)
| ~ spl17_7
| spl17_51 ),
inference(superposition,[],[f696,f1675]) ).
tff(f1675,plain,
( ! [X0: set] :
( ( empty_set = intersection(X0,sF6) )
| member(sK3,X0) )
| ~ spl17_7 ),
inference(duplicate_literal_removal,[],[f1672]) ).
tff(f1672,plain,
( ! [X0: set] :
( ( empty_set = intersection(X0,sF6) )
| member(sK3,X0)
| ( empty_set = intersection(X0,sF6) ) )
| ~ spl17_7 ),
inference(superposition,[],[f241,f597]) ).
tff(f597,plain,
( ! [X0: set] :
( ( sK3 = sK0(intersection(X0,sF6)) )
| ( empty_set = intersection(X0,sF6) ) )
| ~ spl17_7 ),
inference(resolution,[],[f226,f205]) ).
tff(f205,plain,
( ! [X0: element] :
( ~ member(X0,sF6)
| ( sK3 = X0 ) )
| ~ spl17_7 ),
inference(superposition,[],[f83,f142]) ).
tff(f142,plain,
( ( singleton(sK3) = sF6 )
| ~ spl17_7 ),
inference(avatar_component_clause,[],[f141]) ).
tff(f141,plain,
( spl17_7
<=> ( singleton(sK3) = sF6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_7])]) ).
tff(f696,plain,
( ( empty_set != intersection(sK1,sF6) )
| spl17_51 ),
inference(avatar_component_clause,[],[f695]) ).
tff(f2823,plain,
( ~ spl17_7
| spl17_26
| spl17_61 ),
inference(avatar_contradiction_clause,[],[f2822]) ).
tff(f2822,plain,
( $false
| ~ spl17_7
| spl17_26
| spl17_61 ),
inference(subsumption_resolution,[],[f2817,f261]) ).
tff(f261,plain,
( ~ member(sK3,sK5)
| spl17_26 ),
inference(avatar_component_clause,[],[f260]) ).
tff(f260,plain,
( spl17_26
<=> member(sK3,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_26])]) ).
tff(f2817,plain,
( member(sK3,sK5)
| ~ spl17_7
| spl17_61 ),
inference(trivial_inequality_removal,[],[f2813]) ).
tff(f2813,plain,
( ( empty_set != empty_set )
| member(sK3,sK5)
| ~ spl17_7
| spl17_61 ),
inference(superposition,[],[f745,f1675]) ).
tff(f745,plain,
( ( empty_set != intersection(sK5,sF6) )
| spl17_61 ),
inference(avatar_component_clause,[],[f744]) ).
tff(f744,plain,
( spl17_61
<=> ( empty_set = intersection(sK5,sF6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_61])]) ).
tff(f2656,plain,
( ~ spl17_12
| ~ spl17_18
| spl17_122 ),
inference(avatar_contradiction_clause,[],[f2655]) ).
tff(f2655,plain,
( $false
| ~ spl17_12
| ~ spl17_18
| spl17_122 ),
inference(subsumption_resolution,[],[f2653,f188]) ).
tff(f188,plain,
( member(sK3,sF6)
| ~ spl17_18 ),
inference(avatar_component_clause,[],[f187]) ).
tff(f187,plain,
( spl17_18
<=> member(sK3,sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_18])]) ).
tff(f2653,plain,
( ~ member(sK3,sF6)
| ~ spl17_12
| spl17_122 ),
inference(resolution,[],[f2650,f220]) ).
tff(f220,plain,
( ! [X0: element] :
( member(X0,sF7)
| ~ member(X0,sF6) )
| ~ spl17_12 ),
inference(superposition,[],[f81,f162]) ).
tff(f162,plain,
( ( union(sK5,sF6) = sF7 )
| ~ spl17_12 ),
inference(avatar_component_clause,[],[f161]) ).
tff(f161,plain,
( spl17_12
<=> ( union(sK5,sF6) = sF7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_12])]) ).
tff(f81,plain,
! [X2: set,X0: set,X1: element] :
( member(X1,union(X0,X2))
| ~ member(X1,X2) ),
inference(cnf_transformation,[],[f53]) ).
tff(f53,plain,
! [X0: set,X1: element,X2: set] :
( ( member(X1,X2)
| member(X1,X0)
| ~ member(X1,union(X0,X2)) )
& ( member(X1,union(X0,X2))
| ( ~ member(X1,X2)
& ~ member(X1,X0) ) ) ),
inference(rectify,[],[f52]) ).
tff(f52,plain,
! [X1: set,X2: element,X0: set] :
( ( member(X2,X0)
| member(X2,X1)
| ~ member(X2,union(X1,X0)) )
& ( member(X2,union(X1,X0))
| ( ~ member(X2,X0)
& ~ member(X2,X1) ) ) ),
inference(flattening,[],[f51]) ).
tff(f51,plain,
! [X1: set,X2: element,X0: set] :
( ( member(X2,X0)
| member(X2,X1)
| ~ member(X2,union(X1,X0)) )
& ( member(X2,union(X1,X0))
| ( ~ member(X2,X0)
& ~ member(X2,X1) ) ) ),
inference(nnf_transformation,[],[f29]) ).
tff(f29,plain,
! [X1: set,X2: element,X0: set] :
( ( member(X2,X0)
| member(X2,X1) )
<=> member(X2,union(X1,X0)) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X3: set,X2: set,X1: element] :
( ( member(X1,X3)
| member(X1,X2) )
<=> member(X1,union(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f2650,plain,
( ~ member(sK3,sF7)
| spl17_122 ),
inference(avatar_component_clause,[],[f2086]) ).
tff(f2086,plain,
( spl17_122
<=> member(sK3,sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_122])]) ).
tff(f2651,plain,
( ~ spl17_122
| ~ spl17_13
| spl17_143 ),
inference(avatar_split_clause,[],[f2649,f2644,f165,f2086]) ).
tff(f165,plain,
( spl17_13
<=> ( union(sF7,sF8) = sF9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_13])]) ).
tff(f2644,plain,
( spl17_143
<=> member(sK3,sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_143])]) ).
tff(f2649,plain,
( ~ member(sK3,sF7)
| ~ spl17_13
| spl17_143 ),
inference(resolution,[],[f2645,f216]) ).
tff(f216,plain,
( ! [X0: element] :
( member(X0,sF9)
| ~ member(X0,sF7) )
| ~ spl17_13 ),
inference(superposition,[],[f80,f166]) ).
tff(f166,plain,
( ( union(sF7,sF8) = sF9 )
| ~ spl17_13 ),
inference(avatar_component_clause,[],[f165]) ).
tff(f80,plain,
! [X2: set,X0: set,X1: element] :
( member(X1,union(X0,X2))
| ~ member(X1,X0) ),
inference(cnf_transformation,[],[f53]) ).
tff(f2645,plain,
( ~ member(sK3,sF9)
| spl17_143 ),
inference(avatar_component_clause,[],[f2644]) ).
tff(f2646,plain,
( ~ spl17_143
| spl17_122
| ~ spl17_13
| spl17_120 ),
inference(avatar_split_clause,[],[f2067,f2064,f165,f2086,f2644]) ).
tff(f2064,plain,
( spl17_120
<=> member(sK3,sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_120])]) ).
tff(f2067,plain,
( member(sK3,sF7)
| ~ member(sK3,sF9)
| ~ spl17_13
| spl17_120 ),
inference(resolution,[],[f2065,f253]) ).
tff(f253,plain,
( ! [X0: element] :
( member(X0,sF8)
| member(X0,sF7)
| ~ member(X0,sF9) )
| ~ spl17_13 ),
inference(superposition,[],[f82,f166]) ).
tff(f82,plain,
! [X2: set,X0: set,X1: element] :
( ~ member(X1,union(X0,X2))
| member(X1,X0)
| member(X1,X2) ),
inference(cnf_transformation,[],[f53]) ).
tff(f2065,plain,
( ~ member(sK3,sF8)
| spl17_120 ),
inference(avatar_component_clause,[],[f2064]) ).
tff(f2637,plain,
( ~ spl17_142
| ~ spl17_14
| spl17_67
| spl17_69 ),
inference(avatar_split_clause,[],[f2522,f831,f823,f169,f2635]) ).
tff(f2635,plain,
( spl17_142
<=> member(sK0(complement(sF11)),sF11) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_142])]) ).
tff(f169,plain,
( spl17_14
<=> ( union(sF9,sF10) = sF11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_14])]) ).
tff(f823,plain,
( spl17_67
<=> member(sK0(complement(sF11)),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_67])]) ).
tff(f831,plain,
( spl17_69
<=> member(sK0(complement(sF11)),sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_69])]) ).
tff(f2522,plain,
( ~ member(sK0(complement(sF11)),sF11)
| ~ spl17_14
| spl17_67
| spl17_69 ),
inference(subsumption_resolution,[],[f2519,f832]) ).
tff(f832,plain,
( ~ member(sK0(complement(sF11)),sF9)
| spl17_69 ),
inference(avatar_component_clause,[],[f831]) ).
tff(f2519,plain,
( ~ member(sK0(complement(sF11)),sF11)
| member(sK0(complement(sF11)),sF9)
| ~ spl17_14
| spl17_67 ),
inference(resolution,[],[f254,f824]) ).
tff(f824,plain,
( ~ member(sK0(complement(sF11)),sF10)
| spl17_67 ),
inference(avatar_component_clause,[],[f823]) ).
tff(f254,plain,
( ! [X0: element] :
( member(X0,sF10)
| ~ member(X0,sF11)
| member(X0,sF9) )
| ~ spl17_14 ),
inference(superposition,[],[f82,f170]) ).
tff(f170,plain,
( ( union(sF9,sF10) = sF11 )
| ~ spl17_14 ),
inference(avatar_component_clause,[],[f169]) ).
tff(f2632,plain,
( spl17_127
| spl17_141
| ~ spl17_140 ),
inference(avatar_split_clause,[],[f2548,f2545,f2630,f2112]) ).
tff(f2112,plain,
( spl17_127
<=> ( empty_set = sF16 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_127])]) ).
tff(f2630,plain,
( spl17_141
<=> member(sK4,sF16) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_141])]) ).
tff(f2545,plain,
( spl17_140
<=> ( sK4 = sK0(sF16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_140])]) ).
tff(f2548,plain,
( member(sK4,sF16)
| ( empty_set = sF16 )
| ~ spl17_140 ),
inference(superposition,[],[f69,f2546]) ).
tff(f2546,plain,
( ( sK4 = sK0(sF16) )
| ~ spl17_140 ),
inference(avatar_component_clause,[],[f2545]) ).
tff(f2547,plain,
( spl17_140
| ~ spl17_8
| ~ spl17_138 ),
inference(avatar_split_clause,[],[f2473,f2297,f145,f2545]) ).
tff(f2473,plain,
( ( sK4 = sK0(sF16) )
| ~ spl17_8
| ~ spl17_138 ),
inference(resolution,[],[f2298,f206]) ).
tff(f2298,plain,
( member(sK0(sF16),sF8)
| ~ spl17_138 ),
inference(avatar_component_clause,[],[f2297]) ).
tff(f2437,plain,
( ~ spl17_14
| ~ spl17_23
| spl17_40 ),
inference(avatar_contradiction_clause,[],[f2436]) ).
tff(f2436,plain,
( $false
| ~ spl17_14
| ~ spl17_23
| spl17_40 ),
inference(subsumption_resolution,[],[f2426,f1302]) ).
tff(f1302,plain,
( ( empty_set != sF10 )
| spl17_40 ),
inference(avatar_component_clause,[],[f461]) ).
tff(f461,plain,
( spl17_40
<=> ( empty_set = sF10 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_40])]) ).
tff(f2426,plain,
( ( empty_set = sF10 )
| ~ spl17_14
| ~ spl17_23 ),
inference(resolution,[],[f2362,f69]) ).
tff(f2362,plain,
( ! [X0: element] : ~ member(X0,sF10)
| ~ spl17_14
| ~ spl17_23 ),
inference(subsumption_resolution,[],[f2348,f99]) ).
tff(f2348,plain,
( ! [X0: element] :
( ~ member(X0,sF10)
| member(X0,empty_set) )
| ~ spl17_14
| ~ spl17_23 ),
inference(backward_demodulation,[],[f222,f232]) ).
tff(f232,plain,
( ( empty_set = sF11 )
| ~ spl17_23 ),
inference(avatar_component_clause,[],[f231]) ).
tff(f231,plain,
( spl17_23
<=> ( empty_set = sF11 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_23])]) ).
tff(f222,plain,
( ! [X0: element] :
( member(X0,sF11)
| ~ member(X0,sF10) )
| ~ spl17_14 ),
inference(superposition,[],[f81,f170]) ).
tff(f2435,plain,
( ~ spl17_14
| ~ spl17_20
| ~ spl17_23 ),
inference(avatar_contradiction_clause,[],[f2434]) ).
tff(f2434,plain,
( $false
| ~ spl17_14
| ~ spl17_20
| ~ spl17_23 ),
inference(resolution,[],[f2362,f197]) ).
tff(f197,plain,
( member(sK2,sF10)
| ~ spl17_20 ),
inference(avatar_component_clause,[],[f196]) ).
tff(f196,plain,
( spl17_20
<=> member(sK2,sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_20])]) ).
tff(f2424,plain,
( ~ spl17_17
| spl17_39
| ~ spl17_127 ),
inference(avatar_contradiction_clause,[],[f2423]) ).
tff(f2423,plain,
( $false
| ~ spl17_17
| spl17_39
| ~ spl17_127 ),
inference(subsumption_resolution,[],[f2413,f1327]) ).
tff(f1327,plain,
( ( empty_set != sF8 )
| spl17_39 ),
inference(avatar_component_clause,[],[f452]) ).
tff(f452,plain,
( spl17_39
<=> ( empty_set = sF8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_39])]) ).
tff(f2413,plain,
( ( empty_set = sF8 )
| ~ spl17_17
| ~ spl17_127 ),
inference(resolution,[],[f2326,f69]) ).
tff(f2326,plain,
( ! [X0: element] : ~ member(X0,sF8)
| ~ spl17_17
| ~ spl17_127 ),
inference(subsumption_resolution,[],[f2306,f99]) ).
tff(f2306,plain,
( ! [X0: element] :
( member(X0,empty_set)
| ~ member(X0,sF8) )
| ~ spl17_17
| ~ spl17_127 ),
inference(backward_demodulation,[],[f223,f2113]) ).
tff(f2113,plain,
( ( empty_set = sF16 )
| ~ spl17_127 ),
inference(avatar_component_clause,[],[f2112]) ).
tff(f223,plain,
( ! [X0: element] :
( member(X0,sF16)
| ~ member(X0,sF8) )
| ~ spl17_17 ),
inference(superposition,[],[f81,f182]) ).
tff(f182,plain,
( ( union(sF15,sF8) = sF16 )
| ~ spl17_17 ),
inference(avatar_component_clause,[],[f181]) ).
tff(f181,plain,
( spl17_17
<=> ( union(sF15,sF8) = sF16 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_17])]) ).
tff(f2422,plain,
( ~ spl17_17
| ~ spl17_19
| ~ spl17_127 ),
inference(avatar_contradiction_clause,[],[f2421]) ).
tff(f2421,plain,
( $false
| ~ spl17_17
| ~ spl17_19
| ~ spl17_127 ),
inference(resolution,[],[f2326,f192]) ).
tff(f192,plain,
( member(sK4,sF8)
| ~ spl17_19 ),
inference(avatar_component_clause,[],[f191]) ).
tff(f191,plain,
( spl17_19
<=> member(sK4,sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_19])]) ).
tff(f2387,plain,
( spl17_62
| ~ spl17_133 ),
inference(avatar_contradiction_clause,[],[f2386]) ).
tff(f2386,plain,
( $false
| spl17_62
| ~ spl17_133 ),
inference(subsumption_resolution,[],[f2378,f600]) ).
tff(f600,plain,
! [X0: set] : ( empty_set = intersection(empty_set,X0) ),
inference(resolution,[],[f241,f99]) ).
tff(f2378,plain,
( ( empty_set != intersection(empty_set,sF10) )
| spl17_62
| ~ spl17_133 ),
inference(backward_demodulation,[],[f750,f2271]) ).
tff(f2271,plain,
( ( empty_set = sF9 )
| ~ spl17_133 ),
inference(avatar_component_clause,[],[f2270]) ).
tff(f2323,plain,
( ~ spl17_6
| ~ spl17_93
| spl17_126
| ~ spl17_127 ),
inference(avatar_contradiction_clause,[],[f2322]) ).
tff(f2322,plain,
( $false
| ~ spl17_6
| ~ spl17_93
| spl17_126
| ~ spl17_127 ),
inference(subsumption_resolution,[],[f2321,f2110]) ).
tff(f2321,plain,
( ( 0 = $sum(cardinality(sF15),1) )
| ~ spl17_6
| ~ spl17_93
| ~ spl17_127 ),
inference(forward_demodulation,[],[f2318,f138]) ).
tff(f138,plain,
( ( 0 = cardinality(empty_set) )
| ~ spl17_6 ),
inference(avatar_component_clause,[],[f137]) ).
tff(f137,plain,
( spl17_6
<=> ( 0 = cardinality(empty_set) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_6])]) ).
tff(f2318,plain,
( ( cardinality(empty_set) = $sum(cardinality(sF15),1) )
| ~ spl17_93
| ~ spl17_127 ),
inference(backward_demodulation,[],[f1990,f2113]) ).
tff(f2302,plain,
( spl17_138
| spl17_139
| spl17_127
| ~ spl17_17 ),
inference(avatar_split_clause,[],[f994,f181,f2112,f2300,f2297]) ).
tff(f994,plain,
( member(sK0(sF16),sF8)
| member(sK0(sF16),sF15)
| ( empty_set = sF16 )
| ~ spl17_17 ),
inference(superposition,[],[f250,f182]) ).
tff(f250,plain,
! [X0: set,X1: set] :
( member(sK0(union(X0,X1)),X1)
| ( empty_set = union(X0,X1) )
| member(sK0(union(X0,X1)),X0) ),
inference(resolution,[],[f82,f69]) ).
tff(f2294,plain,
( spl17_137
| ~ spl17_9
| ~ spl17_135 ),
inference(avatar_split_clause,[],[f2288,f2282,f149,f2292]) ).
tff(f2292,plain,
( spl17_137
<=> ( sK2 = sK0(sF11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_137])]) ).
tff(f2282,plain,
( spl17_135
<=> member(sK0(sF11),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_135])]) ).
tff(f2288,plain,
( ( sK2 = sK0(sF11) )
| ~ spl17_9
| ~ spl17_135 ),
inference(resolution,[],[f2283,f207]) ).
tff(f2283,plain,
( member(sK0(sF11),sF10)
| ~ spl17_135 ),
inference(avatar_component_clause,[],[f2282]) ).
tff(f2287,plain,
( spl17_135
| spl17_136
| spl17_23
| ~ spl17_14 ),
inference(avatar_split_clause,[],[f993,f169,f231,f2285,f2282]) ).
tff(f2285,plain,
( spl17_136
<=> member(sK0(sF11),sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_136])]) ).
tff(f993,plain,
( member(sK0(sF11),sF9)
| ( empty_set = sF11 )
| member(sK0(sF11),sF10)
| ~ spl17_14 ),
inference(superposition,[],[f250,f170]) ).
tff(f2280,plain,
( spl17_134
| ~ spl17_8
| ~ spl17_131 ),
inference(avatar_split_clause,[],[f2275,f2264,f145,f2278]) ).
tff(f2278,plain,
( spl17_134
<=> ( sK4 = sK0(sF9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_134])]) ).
tff(f2264,plain,
( spl17_131
<=> member(sK0(sF9),sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_131])]) ).
tff(f2275,plain,
( ( sK4 = sK0(sF9) )
| ~ spl17_8
| ~ spl17_131 ),
inference(resolution,[],[f2265,f206]) ).
tff(f2265,plain,
( member(sK0(sF9),sF8)
| ~ spl17_131 ),
inference(avatar_component_clause,[],[f2264]) ).
tff(f2272,plain,
( spl17_131
| spl17_132
| spl17_133
| ~ spl17_13 ),
inference(avatar_split_clause,[],[f992,f165,f2270,f2267,f2264]) ).
tff(f2267,plain,
( spl17_132
<=> member(sK0(sF9),sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_132])]) ).
tff(f992,plain,
( ( empty_set = sF9 )
| member(sK0(sF9),sF8)
| member(sK0(sF9),sF7)
| ~ spl17_13 ),
inference(superposition,[],[f250,f166]) ).
tff(f2216,plain,
( spl17_130
| ~ spl17_7
| ~ spl17_13
| ~ spl17_122 ),
inference(avatar_split_clause,[],[f2209,f2086,f165,f141,f2214]) ).
tff(f2214,plain,
( spl17_130
<=> ( empty_set = difference(sF6,sF9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_130])]) ).
tff(f2209,plain,
( ( empty_set = difference(sF6,sF9) )
| ~ spl17_7
| ~ spl17_13
| ~ spl17_122 ),
inference(subsumption_resolution,[],[f2207,f2087]) ).
tff(f2087,plain,
( member(sK3,sF7)
| ~ spl17_122 ),
inference(avatar_component_clause,[],[f2086]) ).
tff(f2207,plain,
( ( empty_set = difference(sF6,sF9) )
| ~ member(sK3,sF7)
| ~ spl17_7
| ~ spl17_13 ),
inference(duplicate_literal_removal,[],[f2202]) ).
tff(f2202,plain,
( ( empty_set = difference(sF6,sF9) )
| ~ member(sK3,sF7)
| ( empty_set = difference(sF6,sF9) )
| ~ spl17_7
| ~ spl17_13 ),
inference(superposition,[],[f579,f563]) ).
tff(f563,plain,
( ! [X0: set] :
( ( sK3 = sK0(difference(sF6,X0)) )
| ( empty_set = difference(sF6,X0) ) )
| ~ spl17_7 ),
inference(resolution,[],[f224,f205]) ).
tff(f224,plain,
! [X0: set,X1: set] :
( member(sK0(difference(X0,X1)),X0)
| ( empty_set = difference(X0,X1) ) ),
inference(resolution,[],[f86,f69]) ).
tff(f86,plain,
! [X2: set,X0: set,X1: element] :
( ~ member(X1,difference(X2,X0))
| member(X1,X2) ),
inference(cnf_transformation,[],[f58]) ).
tff(f58,plain,
! [X0: set,X1: element,X2: set] :
( ( ( ~ member(X1,X0)
& member(X1,X2) )
| ~ member(X1,difference(X2,X0)) )
& ( member(X1,difference(X2,X0))
| member(X1,X0)
| ~ member(X1,X2) ) ),
inference(rectify,[],[f57]) ).
tff(f57,plain,
! [X2: set,X1: element,X0: set] :
( ( ( ~ member(X1,X2)
& member(X1,X0) )
| ~ member(X1,difference(X0,X2)) )
& ( member(X1,difference(X0,X2))
| member(X1,X2)
| ~ member(X1,X0) ) ),
inference(flattening,[],[f56]) ).
tff(f56,plain,
! [X2: set,X1: element,X0: set] :
( ( ( ~ member(X1,X2)
& member(X1,X0) )
| ~ member(X1,difference(X0,X2)) )
& ( member(X1,difference(X0,X2))
| member(X1,X2)
| ~ member(X1,X0) ) ),
inference(nnf_transformation,[],[f35]) ).
tff(f35,plain,
! [X2: set,X1: element,X0: set] :
( ( ~ member(X1,X2)
& member(X1,X0) )
<=> member(X1,difference(X0,X2)) ),
inference(rectify,[],[f6]) ).
tff(f6,axiom,
! [X4: set,X3: element,X2: set] :
( member(X3,difference(X4,X2))
<=> ( member(X3,X4)
& ~ member(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f579,plain,
( ! [X0: set] :
( ~ member(sK0(difference(X0,sF9)),sF7)
| ( empty_set = difference(X0,sF9) ) )
| ~ spl17_13 ),
inference(resolution,[],[f225,f216]) ).
tff(f225,plain,
! [X0: set,X1: set] :
( ~ member(sK0(difference(X0,X1)),X1)
| ( empty_set = difference(X0,X1) ) ),
inference(resolution,[],[f87,f69]) ).
tff(f87,plain,
! [X2: set,X0: set,X1: element] :
( ~ member(X1,difference(X2,X0))
| ~ member(X1,X0) ),
inference(cnf_transformation,[],[f58]) ).
tff(f2197,plain,
( ~ spl17_129
| ~ spl17_12
| spl17_83
| spl17_90 ),
inference(avatar_split_clause,[],[f2032,f1106,f973,f161,f2195]) ).
tff(f2195,plain,
( spl17_129
<=> member(sK0(complement(sF16)),sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_129])]) ).
tff(f973,plain,
( spl17_83
<=> member(sK0(complement(sF16)),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_83])]) ).
tff(f1106,plain,
( spl17_90
<=> member(sK0(complement(sF16)),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_90])]) ).
tff(f2032,plain,
( ~ member(sK0(complement(sF16)),sF7)
| ~ spl17_12
| spl17_83
| spl17_90 ),
inference(subsumption_resolution,[],[f2027,f1107]) ).
tff(f1107,plain,
( ~ member(sK0(complement(sF16)),sK5)
| spl17_90 ),
inference(avatar_component_clause,[],[f1106]) ).
tff(f2027,plain,
( ~ member(sK0(complement(sF16)),sF7)
| member(sK0(complement(sF16)),sK5)
| ~ spl17_12
| spl17_83 ),
inference(resolution,[],[f252,f974]) ).
tff(f974,plain,
( ~ member(sK0(complement(sF16)),sF6)
| spl17_83 ),
inference(avatar_component_clause,[],[f973]) ).
tff(f252,plain,
( ! [X0: element] :
( member(X0,sF6)
| member(X0,sK5)
| ~ member(X0,sF7) )
| ~ spl17_12 ),
inference(superposition,[],[f82,f162]) ).
tff(f2139,plain,
( ~ spl17_128
| ~ spl17_13
| spl17_50
| spl17_53 ),
inference(avatar_split_clause,[],[f2051,f710,f691,f165,f2137]) ).
tff(f2137,plain,
( spl17_128
<=> member(sK0(complement(sF9)),sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_128])]) ).
tff(f691,plain,
( spl17_50
<=> member(sK0(complement(sF9)),sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_50])]) ).
tff(f710,plain,
( spl17_53
<=> member(sK0(complement(sF9)),sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_53])]) ).
tff(f2051,plain,
( ~ member(sK0(complement(sF9)),sF9)
| ~ spl17_13
| spl17_50
| spl17_53 ),
inference(subsumption_resolution,[],[f2043,f711]) ).
tff(f711,plain,
( ~ member(sK0(complement(sF9)),sF7)
| spl17_53 ),
inference(avatar_component_clause,[],[f710]) ).
tff(f2043,plain,
( member(sK0(complement(sF9)),sF7)
| ~ member(sK0(complement(sF9)),sF9)
| ~ spl17_13
| spl17_50 ),
inference(resolution,[],[f253,f692]) ).
tff(f692,plain,
( ~ member(sK0(complement(sF9)),sF8)
| spl17_50 ),
inference(avatar_component_clause,[],[f691]) ).
tff(f2114,plain,
( ~ spl17_126
| spl17_127
| ~ spl17_93 ),
inference(avatar_split_clause,[],[f1995,f1120,f2112,f2109]) ).
tff(f1995,plain,
( ( empty_set = sF16 )
| ( 0 != $sum(cardinality(sF15),1) )
| ~ spl17_93 ),
inference(superposition,[],[f71,f1990]) ).
tff(f2105,plain,
( ~ spl17_125
| ~ spl17_12
| spl17_47
| spl17_48 ),
inference(avatar_split_clause,[],[f2034,f684,f669,f161,f2103]) ).
tff(f2103,plain,
( spl17_125
<=> member(sK0(complement(sF7)),sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_125])]) ).
tff(f669,plain,
( spl17_47
<=> member(sK0(complement(sF7)),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_47])]) ).
tff(f684,plain,
( spl17_48
<=> member(sK0(complement(sF7)),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_48])]) ).
tff(f2034,plain,
( ~ member(sK0(complement(sF7)),sF7)
| ~ spl17_12
| spl17_47
| spl17_48 ),
inference(subsumption_resolution,[],[f2023,f685]) ).
tff(f685,plain,
( ~ member(sK0(complement(sF7)),sK5)
| spl17_48 ),
inference(avatar_component_clause,[],[f684]) ).
tff(f2023,plain,
( member(sK0(complement(sF7)),sK5)
| ~ member(sK0(complement(sF7)),sF7)
| ~ spl17_12
| spl17_47 ),
inference(resolution,[],[f252,f670]) ).
tff(f670,plain,
( ~ member(sK0(complement(sF7)),sF6)
| spl17_47 ),
inference(avatar_component_clause,[],[f669]) ).
tff(f2098,plain,
( ~ spl17_124
| ~ spl17_16
| spl17_73
| spl17_78 ),
inference(avatar_split_clause,[],[f2018,f941,f895,f177,f2096]) ).
tff(f2096,plain,
( spl17_124
<=> member(sK0(complement(sF15)),sF15) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_124])]) ).
tff(f895,plain,
( spl17_73
<=> member(sK0(complement(sF15)),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_73])]) ).
tff(f941,plain,
( spl17_78
<=> member(sK0(complement(sF15)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_78])]) ).
tff(f2018,plain,
( ~ member(sK0(complement(sF15)),sF15)
| ~ spl17_16
| spl17_73
| spl17_78 ),
inference(subsumption_resolution,[],[f2012,f942]) ).
tff(f942,plain,
( ~ member(sK0(complement(sF15)),sK1)
| spl17_78 ),
inference(avatar_component_clause,[],[f941]) ).
tff(f2012,plain,
( member(sK0(complement(sF15)),sK1)
| ~ member(sK0(complement(sF15)),sF15)
| ~ spl17_16
| spl17_73 ),
inference(resolution,[],[f251,f896]) ).
tff(f896,plain,
( ~ member(sK0(complement(sF15)),sF6)
| spl17_73 ),
inference(avatar_component_clause,[],[f895]) ).
tff(f251,plain,
( ! [X0: element] :
( member(X0,sF6)
| ~ member(X0,sF15)
| member(X0,sK1) )
| ~ spl17_16 ),
inference(superposition,[],[f82,f178]) ).
tff(f2092,plain,
( ~ spl17_123
| ~ spl17_12
| spl17_73
| spl17_79 ),
inference(avatar_split_clause,[],[f2033,f946,f895,f161,f2090]) ).
tff(f2090,plain,
( spl17_123
<=> member(sK0(complement(sF15)),sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_123])]) ).
tff(f946,plain,
( spl17_79
<=> member(sK0(complement(sF15)),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_79])]) ).
tff(f2033,plain,
( ~ member(sK0(complement(sF15)),sF7)
| ~ spl17_12
| spl17_73
| spl17_79 ),
inference(subsumption_resolution,[],[f2026,f947]) ).
tff(f947,plain,
( ~ member(sK0(complement(sF15)),sK5)
| spl17_79 ),
inference(avatar_component_clause,[],[f946]) ).
tff(f2026,plain,
( member(sK0(complement(sF15)),sK5)
| ~ member(sK0(complement(sF15)),sF7)
| ~ spl17_12
| spl17_73 ),
inference(resolution,[],[f252,f896]) ).
tff(f2088,plain,
( spl17_114
| spl17_122
| ~ spl17_119 ),
inference(avatar_split_clause,[],[f2062,f2059,f2086,f1787]) ).
tff(f2059,plain,
( spl17_119
<=> ( sK3 = sK0(sF7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_119])]) ).
tff(f2062,plain,
( ( empty_set = sF7 )
| member(sK3,sF7)
| ~ spl17_119 ),
inference(superposition,[],[f69,f2060]) ).
tff(f2060,plain,
( ( sK3 = sK0(sF7) )
| ~ spl17_119 ),
inference(avatar_component_clause,[],[f2059]) ).
tff(f2083,plain,
( spl17_66
| spl17_121
| ~ spl17_118 ),
inference(avatar_split_clause,[],[f2041,f2038,f2081,f818]) ).
tff(f818,plain,
( spl17_66
<=> ( empty_set = sF15 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_66])]) ).
tff(f2081,plain,
( spl17_121
<=> member(sK3,sF15) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_121])]) ).
tff(f2038,plain,
( spl17_118
<=> ( sK3 = sK0(sF15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_118])]) ).
tff(f2041,plain,
( ( empty_set = sF15 )
| member(sK3,sF15)
| ~ spl17_118 ),
inference(superposition,[],[f69,f2039]) ).
tff(f2039,plain,
( ( sK3 = sK0(sF15) )
| ~ spl17_118 ),
inference(avatar_component_clause,[],[f2038]) ).
tff(f2066,plain,
( ~ spl17_120
| ~ spl17_7
| spl17_65
| ~ spl17_113 ),
inference(avatar_split_clause,[],[f2035,f1777,f815,f141,f2064]) ).
tff(f815,plain,
( spl17_65
<=> member(sK0(sF15),sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_65])]) ).
tff(f1777,plain,
( spl17_113
<=> member(sK0(sF15),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_113])]) ).
tff(f2035,plain,
( ~ member(sK3,sF8)
| ~ spl17_7
| spl17_65
| ~ spl17_113 ),
inference(backward_demodulation,[],[f816,f1930]) ).
tff(f1930,plain,
( ( sK3 = sK0(sF15) )
| ~ spl17_7
| ~ spl17_113 ),
inference(resolution,[],[f1778,f205]) ).
tff(f1778,plain,
( member(sK0(sF15),sF6)
| ~ spl17_113 ),
inference(avatar_component_clause,[],[f1777]) ).
tff(f816,plain,
( ~ member(sK0(sF15),sF8)
| spl17_65 ),
inference(avatar_component_clause,[],[f815]) ).
tff(f2061,plain,
( spl17_119
| ~ spl17_7
| ~ spl17_116 ),
inference(avatar_split_clause,[],[f1962,f1793,f141,f2059]) ).
tff(f1793,plain,
( spl17_116
<=> member(sK0(sF7),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_116])]) ).
tff(f1962,plain,
( ( sK3 = sK0(sF7) )
| ~ spl17_7
| ~ spl17_116 ),
inference(resolution,[],[f1794,f205]) ).
tff(f1794,plain,
( member(sK0(sF7),sF6)
| ~ spl17_116 ),
inference(avatar_component_clause,[],[f1793]) ).
tff(f2040,plain,
( spl17_118
| ~ spl17_7
| ~ spl17_113 ),
inference(avatar_split_clause,[],[f1930,f1777,f141,f2038]) ).
tff(f1991,plain,
( spl17_93
| ~ spl17_57
| ~ spl17_88 ),
inference(avatar_split_clause,[],[f1873,f1095,f727,f1120]) ).
tff(f727,plain,
( spl17_57
<=> ( $sum(cardinality(sF15),cardinality(sF8)) = cardinality(sF16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_57])]) ).
tff(f1873,plain,
( ( cardinality(sF16) = $sum(cardinality(sF15),1) )
| ~ spl17_57
| ~ spl17_88 ),
inference(forward_demodulation,[],[f728,f1096]) ).
tff(f728,plain,
( ( $sum(cardinality(sF15),cardinality(sF8)) = cardinality(sF16) )
| ~ spl17_57 ),
inference(avatar_component_clause,[],[f727]) ).
tff(f1920,plain,
( spl17_36
| ~ spl17_117 ),
inference(avatar_contradiction_clause,[],[f1919]) ).
tff(f1919,plain,
( $false
| spl17_36
| ~ spl17_117 ),
inference(subsumption_resolution,[],[f1909,f1227]) ).
tff(f1227,plain,
( ( empty_set != sF6 )
| spl17_36 ),
inference(avatar_component_clause,[],[f400]) ).
tff(f400,plain,
( spl17_36
<=> ( empty_set = sF6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_36])]) ).
tff(f1909,plain,
( ( empty_set = sF6 )
| ~ spl17_117 ),
inference(resolution,[],[f1907,f69]) ).
tff(f1907,plain,
( ! [X0: element] : ~ member(X0,sF6)
| ~ spl17_117 ),
inference(subsumption_resolution,[],[f1902,f99]) ).
tff(f1902,plain,
( ! [X0: element] :
( member(X0,empty_set)
| ~ member(X0,sF6) )
| ~ spl17_117 ),
inference(superposition,[],[f81,f1897]) ).
tff(f1897,plain,
( ( empty_set = union(sK1,sF6) )
| ~ spl17_117 ),
inference(avatar_component_clause,[],[f1896]) ).
tff(f1896,plain,
( spl17_117
<=> ( empty_set = union(sK1,sF6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_117])]) ).
tff(f1918,plain,
( ~ spl17_18
| ~ spl17_117 ),
inference(avatar_contradiction_clause,[],[f1917]) ).
tff(f1917,plain,
( $false
| ~ spl17_18
| ~ spl17_117 ),
inference(resolution,[],[f1907,f188]) ).
tff(f1898,plain,
( spl17_117
| ~ spl17_16
| ~ spl17_66 ),
inference(avatar_split_clause,[],[f1841,f818,f177,f1896]) ).
tff(f1841,plain,
( ( empty_set = union(sK1,sF6) )
| ~ spl17_16
| ~ spl17_66 ),
inference(backward_demodulation,[],[f178,f819]) ).
tff(f819,plain,
( ( empty_set = sF15 )
| ~ spl17_66 ),
inference(avatar_component_clause,[],[f818]) ).
tff(f1869,plain,
( spl17_58
| ~ spl17_66 ),
inference(avatar_contradiction_clause,[],[f1868]) ).
tff(f1868,plain,
( $false
| spl17_58
| ~ spl17_66 ),
inference(subsumption_resolution,[],[f1853,f600]) ).
tff(f1853,plain,
( ( empty_set != intersection(empty_set,sF8) )
| spl17_58
| ~ spl17_66 ),
inference(backward_demodulation,[],[f731,f819]) ).
tff(f1823,plain,
( spl17_54
| ~ spl17_114 ),
inference(avatar_contradiction_clause,[],[f1822]) ).
tff(f1822,plain,
( $false
| spl17_54
| ~ spl17_114 ),
inference(subsumption_resolution,[],[f1813,f600]) ).
tff(f1813,plain,
( ( empty_set != intersection(empty_set,sF8) )
| spl17_54
| ~ spl17_114 ),
inference(backward_demodulation,[],[f717,f1788]) ).
tff(f1788,plain,
( ( empty_set = sF7 )
| ~ spl17_114 ),
inference(avatar_component_clause,[],[f1787]) ).
tff(f1795,plain,
( spl17_114
| spl17_115
| spl17_116
| ~ spl17_12 ),
inference(avatar_split_clause,[],[f991,f161,f1793,f1790,f1787]) ).
tff(f1790,plain,
( spl17_115
<=> member(sK0(sF7),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_115])]) ).
tff(f991,plain,
( member(sK0(sF7),sF6)
| ( empty_set = sF7 )
| member(sK0(sF7),sK5)
| ~ spl17_12 ),
inference(superposition,[],[f250,f162]) ).
tff(f1779,plain,
( spl17_66
| spl17_112
| spl17_113
| ~ spl17_16 ),
inference(avatar_split_clause,[],[f990,f177,f1777,f1774,f818]) ).
tff(f1774,plain,
( spl17_112
<=> member(sK0(sF15),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_112])]) ).
tff(f990,plain,
( ( empty_set = sF15 )
| member(sK0(sF15),sF6)
| member(sK0(sF15),sK1)
| ~ spl17_16 ),
inference(superposition,[],[f250,f178]) ).
tff(f1741,plain,
( spl17_111
| ~ spl17_17 ),
inference(avatar_split_clause,[],[f1667,f181,f1739]) ).
tff(f1739,plain,
( spl17_111
<=> ( empty_set = difference(sF15,sF16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_111])]) ).
tff(f1667,plain,
( ( empty_set = difference(sF15,sF16) )
| ~ spl17_17 ),
inference(duplicate_literal_removal,[],[f1659]) ).
tff(f1659,plain,
( ( empty_set = difference(sF15,sF16) )
| ( empty_set = difference(sF15,sF16) )
| ~ spl17_17 ),
inference(resolution,[],[f587,f224]) ).
tff(f587,plain,
( ! [X0: set] :
( ~ member(sK0(difference(X0,sF16)),sF15)
| ( empty_set = difference(X0,sF16) ) )
| ~ spl17_17 ),
inference(resolution,[],[f225,f218]) ).
tff(f218,plain,
( ! [X0: element] :
( member(X0,sF16)
| ~ member(X0,sF15) )
| ~ spl17_17 ),
inference(superposition,[],[f80,f182]) ).
tff(f1723,plain,
( spl17_110
| ~ spl17_17 ),
inference(avatar_split_clause,[],[f1654,f181,f1721]) ).
tff(f1721,plain,
( spl17_110
<=> ( empty_set = difference(sF8,sF16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_110])]) ).
tff(f1654,plain,
( ( empty_set = difference(sF8,sF16) )
| ~ spl17_17 ),
inference(duplicate_literal_removal,[],[f1649]) ).
tff(f1649,plain,
( ( empty_set = difference(sF8,sF16) )
| ( empty_set = difference(sF8,sF16) )
| ~ spl17_17 ),
inference(resolution,[],[f586,f224]) ).
tff(f586,plain,
( ! [X0: set] :
( ~ member(sK0(difference(X0,sF16)),sF8)
| ( empty_set = difference(X0,sF16) ) )
| ~ spl17_17 ),
inference(resolution,[],[f225,f223]) ).
tff(f1704,plain,
( spl17_109
| ~ spl17_16 ),
inference(avatar_split_clause,[],[f1643,f177,f1702]) ).
tff(f1702,plain,
( spl17_109
<=> ( empty_set = difference(sK1,sF15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_109])]) ).
tff(f1643,plain,
( ( empty_set = difference(sK1,sF15) )
| ~ spl17_16 ),
inference(duplicate_literal_removal,[],[f1635]) ).
tff(f1635,plain,
( ( empty_set = difference(sK1,sF15) )
| ( empty_set = difference(sK1,sF15) )
| ~ spl17_16 ),
inference(resolution,[],[f585,f224]) ).
tff(f585,plain,
( ! [X0: set] :
( ~ member(sK0(difference(X0,sF15)),sK1)
| ( empty_set = difference(X0,sF15) ) )
| ~ spl17_16 ),
inference(resolution,[],[f225,f214]) ).
tff(f214,plain,
( ! [X0: element] :
( member(X0,sF15)
| ~ member(X0,sK1) )
| ~ spl17_16 ),
inference(superposition,[],[f80,f178]) ).
tff(f1688,plain,
( spl17_108
| ~ spl17_16 ),
inference(avatar_split_clause,[],[f1633,f177,f1686]) ).
tff(f1686,plain,
( spl17_108
<=> ( empty_set = difference(sF6,sF15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_108])]) ).
tff(f1633,plain,
( ( empty_set = difference(sF6,sF15) )
| ~ spl17_16 ),
inference(duplicate_literal_removal,[],[f1624]) ).
tff(f1624,plain,
( ( empty_set = difference(sF6,sF15) )
| ( empty_set = difference(sF6,sF15) )
| ~ spl17_16 ),
inference(resolution,[],[f584,f224]) ).
tff(f584,plain,
( ! [X0: set] :
( ~ member(sK0(difference(X0,sF15)),sF6)
| ( empty_set = difference(X0,sF15) ) )
| ~ spl17_16 ),
inference(resolution,[],[f225,f219]) ).
tff(f219,plain,
( ! [X0: element] :
( member(X0,sF15)
| ~ member(X0,sF6) )
| ~ spl17_16 ),
inference(superposition,[],[f81,f178]) ).
tff(f1648,plain,
( spl17_107
| ~ spl17_14 ),
inference(avatar_split_clause,[],[f1617,f169,f1646]) ).
tff(f1646,plain,
( spl17_107
<=> ( empty_set = difference(sF9,sF11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_107])]) ).
tff(f1617,plain,
( ( empty_set = difference(sF9,sF11) )
| ~ spl17_14 ),
inference(duplicate_literal_removal,[],[f1609]) ).
tff(f1609,plain,
( ( empty_set = difference(sF9,sF11) )
| ( empty_set = difference(sF9,sF11) )
| ~ spl17_14 ),
inference(resolution,[],[f582,f224]) ).
tff(f582,plain,
( ! [X0: set] :
( ~ member(sK0(difference(X0,sF11)),sF9)
| ( empty_set = difference(X0,sF11) ) )
| ~ spl17_14 ),
inference(resolution,[],[f225,f217]) ).
tff(f217,plain,
( ! [X0: element] :
( member(X0,sF11)
| ~ member(X0,sF9) )
| ~ spl17_14 ),
inference(superposition,[],[f80,f170]) ).
tff(f1623,plain,
( spl17_106
| ~ spl17_14 ),
inference(avatar_split_clause,[],[f1604,f169,f1621]) ).
tff(f1621,plain,
( spl17_106
<=> ( empty_set = difference(sF10,sF11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_106])]) ).
tff(f1604,plain,
( ( empty_set = difference(sF10,sF11) )
| ~ spl17_14 ),
inference(duplicate_literal_removal,[],[f1596]) ).
tff(f1596,plain,
( ( empty_set = difference(sF10,sF11) )
| ( empty_set = difference(sF10,sF11) )
| ~ spl17_14 ),
inference(resolution,[],[f581,f224]) ).
tff(f581,plain,
( ! [X0: set] :
( ~ member(sK0(difference(X0,sF11)),sF10)
| ( empty_set = difference(X0,sF11) ) )
| ~ spl17_14 ),
inference(resolution,[],[f225,f222]) ).
tff(f1595,plain,
( spl17_105
| ~ spl17_13 ),
inference(avatar_split_clause,[],[f1590,f165,f1593]) ).
tff(f1593,plain,
( spl17_105
<=> ( empty_set = difference(sF7,sF9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_105])]) ).
tff(f1590,plain,
( ( empty_set = difference(sF7,sF9) )
| ~ spl17_13 ),
inference(duplicate_literal_removal,[],[f1581]) ).
tff(f1581,plain,
( ( empty_set = difference(sF7,sF9) )
| ( empty_set = difference(sF7,sF9) )
| ~ spl17_13 ),
inference(resolution,[],[f579,f224]) ).
tff(f1571,plain,
( spl17_104
| ~ spl17_13 ),
inference(avatar_split_clause,[],[f1548,f165,f1569]) ).
tff(f1569,plain,
( spl17_104
<=> ( empty_set = difference(sF8,sF9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_104])]) ).
tff(f1548,plain,
( ( empty_set = difference(sF8,sF9) )
| ~ spl17_13 ),
inference(duplicate_literal_removal,[],[f1542]) ).
tff(f1542,plain,
( ( empty_set = difference(sF8,sF9) )
| ( empty_set = difference(sF8,sF9) )
| ~ spl17_13 ),
inference(resolution,[],[f578,f224]) ).
tff(f578,plain,
( ! [X0: set] :
( ~ member(sK0(difference(X0,sF9)),sF8)
| ( empty_set = difference(X0,sF9) ) )
| ~ spl17_13 ),
inference(resolution,[],[f225,f221]) ).
tff(f221,plain,
( ! [X0: element] :
( member(X0,sF9)
| ~ member(X0,sF8) )
| ~ spl17_13 ),
inference(superposition,[],[f81,f166]) ).
tff(f1567,plain,
( spl17_103
| ~ spl17_12 ),
inference(avatar_split_clause,[],[f1541,f161,f1565]) ).
tff(f1565,plain,
( spl17_103
<=> ( empty_set = difference(sK5,sF7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_103])]) ).
tff(f1541,plain,
( ( empty_set = difference(sK5,sF7) )
| ~ spl17_12 ),
inference(duplicate_literal_removal,[],[f1533]) ).
tff(f1533,plain,
( ( empty_set = difference(sK5,sF7) )
| ( empty_set = difference(sK5,sF7) )
| ~ spl17_12 ),
inference(resolution,[],[f576,f224]) ).
tff(f576,plain,
( ! [X0: set] :
( ~ member(sK0(difference(X0,sF7)),sK5)
| ( empty_set = difference(X0,sF7) ) )
| ~ spl17_12 ),
inference(resolution,[],[f225,f215]) ).
tff(f215,plain,
( ! [X0: element] :
( member(X0,sF7)
| ~ member(X0,sK5) )
| ~ spl17_12 ),
inference(superposition,[],[f80,f162]) ).
tff(f1563,plain,
( spl17_102
| ~ spl17_12 ),
inference(avatar_split_clause,[],[f1528,f161,f1561]) ).
tff(f1561,plain,
( spl17_102
<=> ( empty_set = difference(sF6,sF7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_102])]) ).
tff(f1528,plain,
( ( empty_set = difference(sF6,sF7) )
| ~ spl17_12 ),
inference(duplicate_literal_removal,[],[f1522]) ).
tff(f1522,plain,
( ( empty_set = difference(sF6,sF7) )
| ( empty_set = difference(sF6,sF7) )
| ~ spl17_12 ),
inference(resolution,[],[f575,f224]) ).
tff(f575,plain,
( ! [X0: set] :
( ~ member(sK0(difference(X0,sF7)),sF6)
| ( empty_set = difference(X0,sF7) ) )
| ~ spl17_12 ),
inference(resolution,[],[f225,f220]) ).
tff(f1510,plain,
( spl17_101
| ~ spl17_2 ),
inference(avatar_split_clause,[],[f1486,f121,f1508]) ).
tff(f1508,plain,
( spl17_101
<=> ( empty_set = difference(sK5,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_101])]) ).
tff(f121,plain,
( spl17_2
<=> subset(sK5,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).
tff(f1486,plain,
( ( empty_set = difference(sK5,sK1) )
| ~ spl17_2 ),
inference(duplicate_literal_removal,[],[f1484]) ).
tff(f1484,plain,
( ( empty_set = difference(sK5,sK1) )
| ( empty_set = difference(sK5,sK1) )
| ~ spl17_2 ),
inference(resolution,[],[f572,f224]) ).
tff(f572,plain,
( ! [X0: set] :
( ~ member(sK0(difference(X0,sK1)),sK5)
| ( empty_set = difference(X0,sK1) ) )
| ~ spl17_2 ),
inference(resolution,[],[f225,f245]) ).
tff(f245,plain,
( ! [X0: element] :
( member(X0,sK1)
| ~ member(X0,sK5) )
| ~ spl17_2 ),
inference(resolution,[],[f70,f122]) ).
tff(f122,plain,
( subset(sK5,sK1)
| ~ spl17_2 ),
inference(avatar_component_clause,[],[f121]) ).
tff(f70,plain,
! [X2: element,X0: set,X1: set] :
( ~ subset(X0,X1)
| member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f45]) ).
tff(f45,plain,
! [X0: set,X1: set] :
( ! [X2: element] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ),
inference(rectify,[],[f38]) ).
tff(f38,plain,
! [X1: set,X0: set] :
( ! [X2: element] :
( member(X2,X0)
| ~ member(X2,X1) )
| ~ subset(X1,X0) ),
inference(ennf_transformation,[],[f37]) ).
tff(f37,plain,
! [X0: set,X1: set] :
( subset(X1,X0)
=> ! [X2: element] :
( member(X2,X1)
=> member(X2,X0) ) ),
inference(unused_predicate_definition_removal,[],[f33]) ).
tff(f33,plain,
! [X0: set,X1: set] :
( subset(X1,X0)
<=> ! [X2: element] :
( member(X2,X1)
=> member(X2,X0) ) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X3: set,X2: set] :
( subset(X2,X3)
<=> ! [X1: element] :
( member(X1,X2)
=> member(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f1498,plain,
spl17_100,
inference(avatar_split_clause,[],[f1462,f1496]) ).
tff(f1496,plain,
( spl17_100
<=> ( empty_set = union(empty_set,empty_set) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_100])]) ).
tff(f1462,plain,
empty_set = union(empty_set,empty_set),
inference(resolution,[],[f978,f99]) ).
tff(f978,plain,
! [X0: set] :
( member(sK0(union(X0,empty_set)),X0)
| ( empty_set = union(X0,empty_set) ) ),
inference(resolution,[],[f250,f99]) ).
tff(f1457,plain,
( ~ spl17_99
| ~ spl17_6
| ~ spl17_7 ),
inference(avatar_split_clause,[],[f1396,f141,f137,f1455]) ).
tff(f1455,plain,
( spl17_99
<=> ( 0 = cardinality(sF6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_99])]) ).
tff(f1396,plain,
( ( 0 != cardinality(sF6) )
| ~ spl17_6
| ~ spl17_7 ),
inference(evaluation,[],[f1395]) ).
tff(f1395,plain,
( ( 0 = $sum(0,1) )
| ( 0 != cardinality(sF6) )
| ~ spl17_6
| ~ spl17_7 ),
inference(forward_demodulation,[],[f1394,f138]) ).
tff(f1394,plain,
( ( cardinality(empty_set) = $sum(cardinality(empty_set),1) )
| ( 0 != cardinality(sF6) )
| ~ spl17_6
| ~ spl17_7 ),
inference(subsumption_resolution,[],[f1365,f589]) ).
tff(f589,plain,
! [X0: set] : ( empty_set = intersection(X0,empty_set) ),
inference(resolution,[],[f226,f99]) ).
tff(f1365,plain,
( ( 0 != cardinality(sF6) )
| ( empty_set != intersection(sF6,empty_set) )
| ( cardinality(empty_set) = $sum(cardinality(empty_set),1) )
| ~ spl17_6
| ~ spl17_7 ),
inference(superposition,[],[f315,f1031]) ).
tff(f1031,plain,
( ! [X0: set] :
( ( empty_set = union(X0,empty_set) )
| ( cardinality(X0) != 0 ) )
| ~ spl17_6 ),
inference(subsumption_resolution,[],[f1027,f589]) ).
tff(f1027,plain,
( ! [X0: set] :
( ( cardinality(X0) != 0 )
| ( empty_set = union(X0,empty_set) )
| ( empty_set != intersection(X0,empty_set) ) )
| ~ spl17_6 ),
inference(evaluation,[],[f1013]) ).
tff(f1013,plain,
( ! [X0: set] :
( ( empty_set != intersection(X0,empty_set) )
| ( 0 != $sum(cardinality(X0),0) )
| ( empty_set = union(X0,empty_set) ) )
| ~ spl17_6 ),
inference(superposition,[],[f289,f138]) ).
tff(f289,plain,
! [X0: set,X1: set] :
( ( 0 != $sum(cardinality(X0),cardinality(X1)) )
| ( empty_set = union(X0,X1) )
| ( empty_set != intersection(X0,X1) ) ),
inference(superposition,[],[f71,f92]) ).
tff(f92,plain,
! [X0: set,X1: set] :
( ( cardinality(union(X1,X0)) = $sum(cardinality(X1),cardinality(X0)) )
| ( empty_set != intersection(X1,X0) ) ),
inference(cnf_transformation,[],[f62]) ).
tff(f315,plain,
( ! [X0: set] :
( ( $sum(cardinality(X0),1) = cardinality(union(sF6,X0)) )
| ( empty_set != intersection(sF6,X0) ) )
| ~ spl17_7 ),
inference(superposition,[],[f74,f142]) ).
tff(f74,plain,
! [X0: element,X1: set] :
( ( cardinality(union(singleton(X0),X1)) = $sum(cardinality(X1),1) )
| ( empty_set != intersection(singleton(X0),X1) ) ),
inference(cnf_transformation,[],[f47]) ).
tff(f47,plain,
! [X0: element,X1: set] :
( ( ( cardinality(union(singleton(X0),X1)) = $sum(cardinality(X1),1) )
| ( empty_set != intersection(singleton(X0),X1) ) )
& ( ( empty_set = intersection(singleton(X0),X1) )
| ( cardinality(union(singleton(X0),X1)) != $sum(cardinality(X1),1) ) ) ),
inference(nnf_transformation,[],[f28]) ).
tff(f28,plain,
! [X0: element,X1: set] :
( ( cardinality(union(singleton(X0),X1)) = $sum(cardinality(X1),1) )
<=> ( 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/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f1442,plain,
( ~ spl17_98
| ~ spl17_6
| ~ spl17_9 ),
inference(avatar_split_clause,[],[f1393,f149,f137,f1440]) ).
tff(f1440,plain,
( spl17_98
<=> ( 0 = cardinality(sF10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_98])]) ).
tff(f1393,plain,
( ( 0 != cardinality(sF10) )
| ~ spl17_6
| ~ spl17_9 ),
inference(evaluation,[],[f1392]) ).
tff(f1392,plain,
( ( 0 = $sum(0,1) )
| ( 0 != cardinality(sF10) )
| ~ spl17_6
| ~ spl17_9 ),
inference(forward_demodulation,[],[f1391,f138]) ).
tff(f1391,plain,
( ( 0 != cardinality(sF10) )
| ( cardinality(empty_set) = $sum(cardinality(empty_set),1) )
| ~ spl17_6
| ~ spl17_9 ),
inference(subsumption_resolution,[],[f1371,f589]) ).
tff(f1371,plain,
( ( cardinality(empty_set) = $sum(cardinality(empty_set),1) )
| ( 0 != cardinality(sF10) )
| ( empty_set != intersection(sF10,empty_set) )
| ~ spl17_6
| ~ spl17_9 ),
inference(superposition,[],[f317,f1031]) ).
tff(f317,plain,
( ! [X0: set] :
( ( $sum(cardinality(X0),1) = cardinality(union(sF10,X0)) )
| ( empty_set != intersection(sF10,X0) ) )
| ~ spl17_9 ),
inference(superposition,[],[f74,f150]) ).
tff(f1416,plain,
spl17_97,
inference(avatar_split_clause,[],[f1401,f1414]) ).
tff(f1414,plain,
( spl17_97
<=> ( empty_set = complement(complement(empty_set)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_97])]) ).
tff(f1401,plain,
empty_set = complement(complement(empty_set)),
inference(resolution,[],[f350,f99]) ).
tff(f350,plain,
! [X0: set] :
( member(sK0(complement(complement(X0))),X0)
| ( empty_set = complement(complement(X0)) ) ),
inference(resolution,[],[f209,f88]) ).
tff(f88,plain,
! [X0: set,X1: element] :
( member(X1,complement(X0))
| member(X1,X0) ),
inference(cnf_transformation,[],[f59]) ).
tff(f59,plain,
! [X0: set,X1: element] :
( ( ~ member(X1,complement(X0))
| ~ member(X1,X0) )
& ( member(X1,X0)
| member(X1,complement(X0)) ) ),
inference(nnf_transformation,[],[f7]) ).
tff(f7,axiom,
! [X0: set,X1: element] :
( ~ member(X1,complement(X0))
<=> member(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f209,plain,
! [X0: set] :
( ~ member(sK0(complement(X0)),X0)
| ( empty_set = complement(X0) ) ),
inference(resolution,[],[f89,f69]) ).
tff(f89,plain,
! [X0: set,X1: element] :
( ~ member(X1,complement(X0))
| ~ member(X1,X0) ),
inference(cnf_transformation,[],[f59]) ).
tff(f1400,plain,
( ~ spl17_96
| ~ spl17_6
| ~ spl17_8 ),
inference(avatar_split_clause,[],[f1382,f145,f137,f1398]) ).
tff(f1398,plain,
( spl17_96
<=> ( 0 = cardinality(sF8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_96])]) ).
tff(f1382,plain,
( ( 0 != cardinality(sF8) )
| ~ spl17_6
| ~ spl17_8 ),
inference(evaluation,[],[f1381]) ).
tff(f1381,plain,
( ( 0 = $sum(0,1) )
| ( 0 != cardinality(sF8) )
| ~ spl17_6
| ~ spl17_8 ),
inference(forward_demodulation,[],[f1380,f138]) ).
tff(f1380,plain,
( ( 0 != cardinality(sF8) )
| ( cardinality(empty_set) = $sum(cardinality(empty_set),1) )
| ~ spl17_6
| ~ spl17_8 ),
inference(subsumption_resolution,[],[f1368,f589]) ).
tff(f1368,plain,
( ( cardinality(empty_set) = $sum(cardinality(empty_set),1) )
| ( empty_set != intersection(sF8,empty_set) )
| ( 0 != cardinality(sF8) )
| ~ spl17_6
| ~ spl17_8 ),
inference(superposition,[],[f316,f1031]) ).
tff(f316,plain,
( ! [X0: set] :
( ( $sum(cardinality(X0),1) = cardinality(union(sF8,X0)) )
| ( empty_set != intersection(sF8,X0) ) )
| ~ spl17_8 ),
inference(superposition,[],[f74,f146]) ).
tff(f1328,plain,
( ~ spl17_39
| ~ spl17_6
| ~ spl17_8 ),
inference(avatar_split_clause,[],[f1226,f145,f137,f452]) ).
tff(f1226,plain,
( ( empty_set != sF8 )
| ~ spl17_6
| ~ spl17_8 ),
inference(superposition,[],[f1223,f146]) ).
tff(f1223,plain,
( ! [X0: element] : ( empty_set != singleton(X0) )
| ~ spl17_6 ),
inference(forward_demodulation,[],[f1222,f589]) ).
tff(f1222,plain,
( ! [X0: element] : ( singleton(X0) != intersection(singleton(X0),empty_set) )
| ~ spl17_6 ),
inference(subsumption_resolution,[],[f1221,f589]) ).
tff(f1221,plain,
( ! [X0: element] :
( ( empty_set != intersection(singleton(X0),empty_set) )
| ( singleton(X0) != intersection(singleton(X0),empty_set) ) )
| ~ spl17_6 ),
inference(evaluation,[],[f1190]) ).
tff(f1190,plain,
( ! [X0: element] :
( ( 0 = $sum(0,1) )
| ( empty_set != intersection(singleton(X0),empty_set) )
| ( singleton(X0) != intersection(singleton(X0),empty_set) ) )
| ~ spl17_6 ),
inference(superposition,[],[f318,f138]) ).
tff(f318,plain,
! [X0: element,X1: set] :
( ( cardinality(X1) = $sum(cardinality(X1),1) )
| ( empty_set != intersection(singleton(X0),X1) )
| ( singleton(X0) != intersection(singleton(X0),X1) ) ),
inference(superposition,[],[f74,f91]) ).
tff(f91,plain,
! [X0: set,X1: element] :
( ( cardinality(X0) = cardinality(union(singleton(X1),X0)) )
| ( singleton(X1) != intersection(singleton(X1),X0) ) ),
inference(cnf_transformation,[],[f61]) ).
tff(f61,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,[],[f60]) ).
tff(f60,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,[],[f27]) ).
tff(f27,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] :
( ( cardinality(X0) = cardinality(union(singleton(X1),X0)) )
<=> ( singleton(X1) = intersection(singleton(X1),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f1303,plain,
( ~ spl17_40
| ~ spl17_6
| ~ spl17_9 ),
inference(avatar_split_clause,[],[f1225,f149,f137,f461]) ).
tff(f1225,plain,
( ( empty_set != sF10 )
| ~ spl17_6
| ~ spl17_9 ),
inference(superposition,[],[f1223,f150]) ).
tff(f1228,plain,
( ~ spl17_36
| ~ spl17_6
| ~ spl17_7 ),
inference(avatar_split_clause,[],[f1224,f141,f137,f400]) ).
tff(f1224,plain,
( ( empty_set != sF6 )
| ~ spl17_6
| ~ spl17_7 ),
inference(superposition,[],[f1223,f142]) ).
tff(f1132,plain,
( ~ spl17_95
| ~ spl17_6
| ~ spl17_7
| spl17_64
| ~ spl17_88 ),
inference(avatar_split_clause,[],[f1128,f1095,f761,f141,f137,f1130]) ).
tff(f761,plain,
( spl17_64
<=> ( cardinality(sF9) = $sum($sum(sF13,cardinality(sF6)),cardinality(sF8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_64])]) ).
tff(f1128,plain,
( ( cardinality(sF9) != $sum(2,sF13) )
| ~ spl17_6
| ~ spl17_7
| spl17_64
| ~ spl17_88 ),
inference(evaluation,[],[f1127]) ).
tff(f1127,plain,
( ( cardinality(sF9) != $sum($sum(sF13,1),1) )
| ~ spl17_6
| ~ spl17_7
| spl17_64
| ~ spl17_88 ),
inference(forward_demodulation,[],[f1071,f1096]) ).
tff(f1071,plain,
( ( cardinality(sF9) != $sum($sum(sF13,1),cardinality(sF8)) )
| ~ spl17_6
| ~ spl17_7
| spl17_64 ),
inference(backward_demodulation,[],[f762,f1063]) ).
tff(f1063,plain,
( ( 1 = cardinality(sF6) )
| ~ spl17_6
| ~ spl17_7 ),
inference(superposition,[],[f1061,f142]) ).
tff(f1061,plain,
( ! [X0: element] : ( 1 = cardinality(singleton(X0)) )
| ~ spl17_6 ),
inference(subsumption_resolution,[],[f1054,f589]) ).
tff(f1054,plain,
( ! [X0: element] :
( ( empty_set != intersection(singleton(X0),empty_set) )
| ( 1 = cardinality(singleton(X0)) ) )
| ~ spl17_6 ),
inference(evaluation,[],[f1040]) ).
tff(f1040,plain,
( ! [X0: element] :
( ( empty_set != intersection(singleton(X0),empty_set) )
| ( $sum(0,1) = $sum(cardinality(singleton(X0)),0) ) )
| ~ spl17_6 ),
inference(superposition,[],[f326,f138]) ).
tff(f326,plain,
! [X0: element,X1: set] :
( ( $sum(cardinality(X1),1) = $sum(cardinality(singleton(X0)),cardinality(X1)) )
| ( empty_set != intersection(singleton(X0),X1) ) ),
inference(duplicate_literal_removal,[],[f319]) ).
tff(f319,plain,
! [X0: element,X1: set] :
( ( $sum(cardinality(X1),1) = $sum(cardinality(singleton(X0)),cardinality(X1)) )
| ( empty_set != intersection(singleton(X0),X1) )
| ( empty_set != intersection(singleton(X0),X1) ) ),
inference(superposition,[],[f74,f92]) ).
tff(f762,plain,
( ( cardinality(sF9) != $sum($sum(sF13,cardinality(sF6)),cardinality(sF8)) )
| spl17_64 ),
inference(avatar_component_clause,[],[f761]) ).
tff(f1126,plain,
( ~ spl17_94
| ~ spl17_6
| ~ spl17_8
| spl17_55 ),
inference(avatar_split_clause,[],[f1093,f719,f145,f137,f1124]) ).
tff(f1124,plain,
( spl17_94
<=> ( cardinality(sF9) = $sum(cardinality(sF7),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_94])]) ).
tff(f1093,plain,
( ( cardinality(sF9) != $sum(cardinality(sF7),1) )
| ~ spl17_6
| ~ spl17_8
| spl17_55 ),
inference(backward_demodulation,[],[f908,f1065]) ).
tff(f1065,plain,
( ( 1 = cardinality(sF8) )
| ~ spl17_6
| ~ spl17_8 ),
inference(superposition,[],[f1061,f146]) ).
tff(f908,plain,
( ( $sum(cardinality(sF7),cardinality(sF8)) != cardinality(sF9) )
| spl17_55 ),
inference(avatar_component_clause,[],[f719]) ).
tff(f1122,plain,
( ~ spl17_93
| ~ spl17_6
| ~ spl17_8
| spl17_57 ),
inference(avatar_split_clause,[],[f1092,f727,f145,f137,f1120]) ).
tff(f1092,plain,
( ( cardinality(sF16) != $sum(cardinality(sF15),1) )
| ~ spl17_6
| ~ spl17_8
| spl17_57 ),
inference(backward_demodulation,[],[f920,f1065]) ).
tff(f920,plain,
( ( $sum(cardinality(sF15),cardinality(sF8)) != cardinality(sF16) )
| spl17_57 ),
inference(avatar_component_clause,[],[f727]) ).
tff(f1118,plain,
( ~ spl17_92
| ~ spl17_6
| ~ spl17_7
| spl17_52 ),
inference(avatar_split_clause,[],[f1072,f698,f141,f137,f1116]) ).
tff(f1072,plain,
( ( cardinality(sF15) != $sum(cardinality(sK1),1) )
| ~ spl17_6
| ~ spl17_7
| spl17_52 ),
inference(backward_demodulation,[],[f756,f1063]) ).
tff(f756,plain,
( ( $sum(cardinality(sK1),cardinality(sF6)) != cardinality(sF15) )
| spl17_52 ),
inference(avatar_component_clause,[],[f698]) ).
tff(f1112,plain,
( ~ spl17_91
| ~ spl17_17
| spl17_81
| spl17_82 ),
inference(avatar_split_clause,[],[f971,f965,f953,f181,f1110]) ).
tff(f1110,plain,
( spl17_91
<=> member(sK0(complement(sF16)),sF16) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_91])]) ).
tff(f953,plain,
( spl17_81
<=> member(sK0(complement(sF16)),sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_81])]) ).
tff(f965,plain,
( spl17_82
<=> member(sK0(complement(sF16)),sF15) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_82])]) ).
tff(f971,plain,
( ~ member(sK0(complement(sF16)),sF16)
| ~ spl17_17
| spl17_81
| spl17_82 ),
inference(subsumption_resolution,[],[f968,f954]) ).
tff(f954,plain,
( ~ member(sK0(complement(sF16)),sF8)
| spl17_81 ),
inference(avatar_component_clause,[],[f953]) ).
tff(f968,plain,
( ~ member(sK0(complement(sF16)),sF16)
| member(sK0(complement(sF16)),sF8)
| ~ spl17_17
| spl17_82 ),
inference(resolution,[],[f966,f255]) ).
tff(f255,plain,
( ! [X0: element] :
( member(X0,sF15)
| member(X0,sF8)
| ~ member(X0,sF16) )
| ~ spl17_17 ),
inference(superposition,[],[f82,f182]) ).
tff(f966,plain,
( ~ member(sK0(complement(sF16)),sF15)
| spl17_82 ),
inference(avatar_component_clause,[],[f965]) ).
tff(f1108,plain,
( ~ spl17_90
| ~ spl17_2
| spl17_84 ),
inference(avatar_split_clause,[],[f1069,f1033,f121,f1106]) ).
tff(f1033,plain,
( spl17_84
<=> member(sK0(complement(sF16)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_84])]) ).
tff(f1069,plain,
( ~ member(sK0(complement(sF16)),sK5)
| ~ spl17_2
| spl17_84 ),
inference(resolution,[],[f1034,f245]) ).
tff(f1034,plain,
( ~ member(sK0(complement(sF16)),sK1)
| spl17_84 ),
inference(avatar_component_clause,[],[f1033]) ).
tff(f1104,plain,
( ~ spl17_89
| ~ spl17_6
| ~ spl17_9
| spl17_63 ),
inference(avatar_split_clause,[],[f1080,f752,f149,f137,f1102]) ).
tff(f752,plain,
( spl17_63
<=> ( sF12 = $sum(cardinality(sF9),cardinality(sF10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_63])]) ).
tff(f1080,plain,
( ( sF12 != $sum(cardinality(sF9),1) )
| ~ spl17_6
| ~ spl17_9
| spl17_63 ),
inference(backward_demodulation,[],[f788,f1064]) ).
tff(f1064,plain,
( ( 1 = cardinality(sF10) )
| ~ spl17_6
| ~ spl17_9 ),
inference(superposition,[],[f1061,f150]) ).
tff(f788,plain,
( ( sF12 != $sum(cardinality(sF9),cardinality(sF10)) )
| spl17_63 ),
inference(avatar_component_clause,[],[f752]) ).
tff(f1097,plain,
( spl17_88
| ~ spl17_6
| ~ spl17_8 ),
inference(avatar_split_clause,[],[f1065,f145,f137,f1095]) ).
tff(f1091,plain,
( ~ spl17_87
| ~ spl17_6
| ~ spl17_7
| spl17_60 ),
inference(avatar_split_clause,[],[f1070,f741,f141,f137,f1089]) ).
tff(f1070,plain,
( ( cardinality(sF7) != $sum(sF13,1) )
| ~ spl17_6
| ~ spl17_7
| spl17_60 ),
inference(backward_demodulation,[],[f923,f1063]) ).
tff(f923,plain,
( ( cardinality(sF7) != $sum(sF13,cardinality(sF6)) )
| spl17_60 ),
inference(avatar_component_clause,[],[f741]) ).
tff(f1084,plain,
( spl17_86
| ~ spl17_6
| ~ spl17_9 ),
inference(avatar_split_clause,[],[f1064,f149,f137,f1082]) ).
tff(f1082,plain,
( spl17_86
<=> ( 1 = cardinality(sF10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_86])]) ).
tff(f1076,plain,
( spl17_85
| ~ spl17_6
| ~ spl17_7 ),
inference(avatar_split_clause,[],[f1063,f141,f137,f1074]) ).
tff(f1035,plain,
( ~ spl17_84
| ~ spl17_16
| spl17_82 ),
inference(avatar_split_clause,[],[f970,f965,f177,f1033]) ).
tff(f970,plain,
( ~ member(sK0(complement(sF16)),sK1)
| ~ spl17_16
| spl17_82 ),
inference(resolution,[],[f966,f214]) ).
tff(f975,plain,
( ~ spl17_83
| ~ spl17_16
| spl17_82 ),
inference(avatar_split_clause,[],[f969,f965,f177,f973]) ).
tff(f969,plain,
( ~ member(sK0(complement(sF16)),sF6)
| ~ spl17_16
| spl17_82 ),
inference(resolution,[],[f966,f219]) ).
tff(f967,plain,
( ~ spl17_82
| spl17_80
| ~ spl17_17 ),
inference(avatar_split_clause,[],[f361,f181,f950,f965]) ).
tff(f950,plain,
( spl17_80
<=> ( empty_set = complement(sF16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_80])]) ).
tff(f361,plain,
( ~ member(sK0(complement(sF16)),sF15)
| ( empty_set = complement(sF16) )
| ~ spl17_17 ),
inference(resolution,[],[f209,f218]) ).
tff(f962,plain,
( spl17_5
| ~ spl17_80 ),
inference(avatar_contradiction_clause,[],[f961]) ).
tff(f961,plain,
( $false
| spl17_5
| ~ spl17_80 ),
inference(resolution,[],[f958,f134]) ).
tff(f134,plain,
( ~ member(sK2,sF16)
| spl17_5 ),
inference(avatar_component_clause,[],[f133]) ).
tff(f133,plain,
( spl17_5
<=> member(sK2,sF16) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).
tff(f958,plain,
( ! [X0: element] : member(X0,sF16)
| ~ spl17_80 ),
inference(subsumption_resolution,[],[f957,f99]) ).
tff(f957,plain,
( ! [X0: element] :
( member(X0,sF16)
| member(X0,empty_set) )
| ~ spl17_80 ),
inference(superposition,[],[f88,f951]) ).
tff(f951,plain,
( ( empty_set = complement(sF16) )
| ~ spl17_80 ),
inference(avatar_component_clause,[],[f950]) ).
tff(f955,plain,
( spl17_80
| ~ spl17_81
| ~ spl17_17 ),
inference(avatar_split_clause,[],[f360,f181,f953,f950]) ).
tff(f360,plain,
( ~ member(sK0(complement(sF16)),sF8)
| ( empty_set = complement(sF16) )
| ~ spl17_17 ),
inference(resolution,[],[f209,f223]) ).
tff(f948,plain,
( ~ spl17_79
| ~ spl17_2
| spl17_78 ),
inference(avatar_split_clause,[],[f944,f941,f121,f946]) ).
tff(f944,plain,
( ~ member(sK0(complement(sF15)),sK5)
| ~ spl17_2
| spl17_78 ),
inference(resolution,[],[f942,f245]) ).
tff(f943,plain,
( ~ spl17_78
| spl17_72
| ~ spl17_16 ),
inference(avatar_split_clause,[],[f359,f177,f892,f941]) ).
tff(f892,plain,
( spl17_72
<=> ( empty_set = complement(sF15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_72])]) ).
tff(f359,plain,
( ( empty_set = complement(sF15) )
| ~ member(sK0(complement(sF15)),sK1)
| ~ spl17_16 ),
inference(resolution,[],[f209,f214]) ).
tff(f939,plain,
( ~ spl17_77
| ~ spl17_12
| spl17_75 ),
inference(avatar_split_clause,[],[f929,f925,f161,f937]) ).
tff(f937,plain,
( spl17_77
<=> member(sK0(complement(sF11)),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_77])]) ).
tff(f925,plain,
( spl17_75
<=> member(sK0(complement(sF11)),sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_75])]) ).
tff(f929,plain,
( ~ member(sK0(complement(sF11)),sK5)
| ~ spl17_12
| spl17_75 ),
inference(resolution,[],[f926,f215]) ).
tff(f926,plain,
( ~ member(sK0(complement(sF11)),sF7)
| spl17_75 ),
inference(avatar_component_clause,[],[f925]) ).
tff(f933,plain,
( ~ spl17_76
| ~ spl17_12
| spl17_75 ),
inference(avatar_split_clause,[],[f928,f925,f161,f931]) ).
tff(f931,plain,
( spl17_76
<=> member(sK0(complement(sF11)),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_76])]) ).
tff(f928,plain,
( ~ member(sK0(complement(sF11)),sF6)
| ~ spl17_12
| spl17_75 ),
inference(resolution,[],[f926,f220]) ).
tff(f927,plain,
( ~ spl17_75
| ~ spl17_13
| spl17_69 ),
inference(avatar_split_clause,[],[f912,f831,f165,f925]) ).
tff(f912,plain,
( ~ member(sK0(complement(sF11)),sF7)
| ~ spl17_13
| spl17_69 ),
inference(resolution,[],[f832,f216]) ).
tff(f919,plain,
( ~ spl17_74
| ~ spl17_13
| spl17_69 ),
inference(avatar_split_clause,[],[f911,f831,f165,f917]) ).
tff(f917,plain,
( spl17_74
<=> member(sK0(complement(sF11)),sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_74])]) ).
tff(f911,plain,
( ~ member(sK0(complement(sF11)),sF8)
| ~ spl17_13
| spl17_69 ),
inference(resolution,[],[f832,f221]) ).
tff(f909,plain,
( ~ spl17_55
| ~ spl17_13
| spl17_54 ),
inference(avatar_split_clause,[],[f758,f716,f165,f719]) ).
tff(f758,plain,
( ( $sum(cardinality(sF7),cardinality(sF8)) != cardinality(sF9) )
| ~ spl17_13
| spl17_54 ),
inference(subsumption_resolution,[],[f299,f717]) ).
tff(f299,plain,
( ( empty_set = intersection(sF7,sF8) )
| ( $sum(cardinality(sF7),cardinality(sF8)) != cardinality(sF9) )
| ~ spl17_13 ),
inference(superposition,[],[f93,f166]) ).
tff(f907,plain,
( spl17_4
| ~ spl17_72 ),
inference(avatar_contradiction_clause,[],[f905]) ).
tff(f905,plain,
( $false
| spl17_4
| ~ spl17_72 ),
inference(resolution,[],[f900,f130]) ).
tff(f900,plain,
( ! [X0: element] : member(X0,sF15)
| ~ spl17_72 ),
inference(subsumption_resolution,[],[f899,f99]) ).
tff(f899,plain,
( ! [X0: element] :
( member(X0,empty_set)
| member(X0,sF15) )
| ~ spl17_72 ),
inference(superposition,[],[f88,f893]) ).
tff(f893,plain,
( ( empty_set = complement(sF15) )
| ~ spl17_72 ),
inference(avatar_component_clause,[],[f892]) ).
tff(f906,plain,
( spl17_29
| ~ spl17_72 ),
inference(avatar_contradiction_clause,[],[f904]) ).
tff(f904,plain,
( $false
| spl17_29
| ~ spl17_72 ),
inference(resolution,[],[f900,f332]) ).
tff(f332,plain,
( ~ member(sK2,sF15)
| spl17_29 ),
inference(avatar_component_clause,[],[f331]) ).
tff(f331,plain,
( spl17_29
<=> member(sK2,sF15) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_29])]) ).
tff(f897,plain,
( spl17_72
| ~ spl17_73
| ~ spl17_16 ),
inference(avatar_split_clause,[],[f358,f177,f895,f892]) ).
tff(f358,plain,
( ~ member(sK0(complement(sF15)),sF6)
| ( empty_set = complement(sF15) )
| ~ spl17_16 ),
inference(resolution,[],[f209,f219]) ).
tff(f870,plain,
( spl17_71
| ~ spl17_14
| ~ spl17_68
| spl17_70 ),
inference(avatar_split_clause,[],[f847,f843,f826,f169,f868]) ).
tff(f868,plain,
( spl17_71
<=> member(sK0(empty_set),sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_71])]) ).
tff(f826,plain,
( spl17_68
<=> ( empty_set = complement(sF11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_68])]) ).
tff(f843,plain,
( spl17_70
<=> member(sK0(empty_set),sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_70])]) ).
tff(f847,plain,
( member(sK0(empty_set),sF9)
| ~ spl17_14
| ~ spl17_68
| spl17_70 ),
inference(subsumption_resolution,[],[f846,f837]) ).
tff(f837,plain,
( ! [X0: element] : member(X0,sF11)
| ~ spl17_68 ),
inference(subsumption_resolution,[],[f836,f99]) ).
tff(f836,plain,
( ! [X0: element] :
( member(X0,empty_set)
| member(X0,sF11) )
| ~ spl17_68 ),
inference(superposition,[],[f88,f827]) ).
tff(f827,plain,
( ( empty_set = complement(sF11) )
| ~ spl17_68 ),
inference(avatar_component_clause,[],[f826]) ).
tff(f846,plain,
( member(sK0(empty_set),sF9)
| ~ member(sK0(empty_set),sF11)
| ~ spl17_14
| spl17_70 ),
inference(resolution,[],[f844,f254]) ).
tff(f844,plain,
( ~ member(sK0(empty_set),sF10)
| spl17_70 ),
inference(avatar_component_clause,[],[f843]) ).
tff(f845,plain,
( ~ spl17_70
| spl17_67
| ~ spl17_68 ),
inference(avatar_split_clause,[],[f834,f826,f823,f843]) ).
tff(f834,plain,
( ~ member(sK0(empty_set),sF10)
| spl17_67
| ~ spl17_68 ),
inference(backward_demodulation,[],[f824,f827]) ).
tff(f833,plain,
( ~ spl17_69
| spl17_68
| ~ spl17_14 ),
inference(avatar_split_clause,[],[f357,f169,f826,f831]) ).
tff(f357,plain,
( ~ member(sK0(complement(sF11)),sF9)
| ( empty_set = complement(sF11) )
| ~ spl17_14 ),
inference(resolution,[],[f209,f217]) ).
tff(f828,plain,
( ~ spl17_67
| spl17_68
| ~ spl17_14 ),
inference(avatar_split_clause,[],[f356,f169,f826,f823]) ).
tff(f356,plain,
( ( empty_set = complement(sF11) )
| ~ member(sK0(complement(sF11)),sF10)
| ~ spl17_14 ),
inference(resolution,[],[f209,f222]) ).
tff(f820,plain,
( ~ spl17_65
| spl17_66
| ~ spl17_58 ),
inference(avatar_split_clause,[],[f776,f730,f818,f815]) ).
tff(f776,plain,
( ~ member(sK0(sF15),sF8)
| ( empty_set = sF15 )
| ~ spl17_58 ),
inference(resolution,[],[f772,f69]) ).
tff(f772,plain,
( ! [X0: element] :
( ~ member(X0,sF15)
| ~ member(X0,sF8) )
| ~ spl17_58 ),
inference(subsumption_resolution,[],[f767,f99]) ).
tff(f767,plain,
( ! [X0: element] :
( ~ member(X0,sF8)
| ~ member(X0,sF15)
| member(X0,empty_set) )
| ~ spl17_58 ),
inference(superposition,[],[f98,f765]) ).
tff(f792,plain,
( spl17_61
| ~ spl17_11
| ~ spl17_12
| ~ spl17_60 ),
inference(avatar_split_clause,[],[f790,f741,f161,f157,f744]) ).
tff(f157,plain,
( spl17_11
<=> ( cardinality(sK5) = sF13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_11])]) ).
tff(f790,plain,
( ( empty_set = intersection(sK5,sF6) )
| ~ spl17_11
| ~ spl17_12
| ~ spl17_60 ),
inference(subsumption_resolution,[],[f305,f742]) ).
tff(f305,plain,
( ( empty_set = intersection(sK5,sF6) )
| ( cardinality(sF7) != $sum(sF13,cardinality(sF6)) )
| ~ spl17_11
| ~ spl17_12 ),
inference(forward_demodulation,[],[f298,f158]) ).
tff(f158,plain,
( ( cardinality(sK5) = sF13 )
| ~ spl17_11 ),
inference(avatar_component_clause,[],[f157]) ).
tff(f298,plain,
( ( $sum(cardinality(sK5),cardinality(sF6)) != cardinality(sF7) )
| ( empty_set = intersection(sK5,sF6) )
| ~ spl17_12 ),
inference(superposition,[],[f93,f162]) ).
tff(f789,plain,
( ~ spl17_63
| ~ spl17_10
| ~ spl17_14
| spl17_62 ),
inference(avatar_split_clause,[],[f787,f749,f169,f153,f752]) ).
tff(f153,plain,
( spl17_10
<=> ( cardinality(sF11) = sF12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_10])]) ).
tff(f787,plain,
( ( sF12 != $sum(cardinality(sF9),cardinality(sF10)) )
| ~ spl17_10
| ~ spl17_14
| spl17_62 ),
inference(subsumption_resolution,[],[f304,f750]) ).
tff(f304,plain,
( ( empty_set = intersection(sF9,sF10) )
| ( sF12 != $sum(cardinality(sF9),cardinality(sF10)) )
| ~ spl17_10
| ~ spl17_14 ),
inference(forward_demodulation,[],[f300,f154]) ).
tff(f154,plain,
( ( cardinality(sF11) = sF12 )
| ~ spl17_10 ),
inference(avatar_component_clause,[],[f153]) ).
tff(f300,plain,
( ( cardinality(sF11) != $sum(cardinality(sF9),cardinality(sF10)) )
| ( empty_set = intersection(sF9,sF10) )
| ~ spl17_14 ),
inference(superposition,[],[f93,f170]) ).
tff(f766,plain,
( spl17_58
| ~ spl17_17
| ~ spl17_57 ),
inference(avatar_split_clause,[],[f764,f727,f181,f730]) ).
tff(f764,plain,
( ( empty_set = intersection(sF15,sF8) )
| ~ spl17_17
| ~ spl17_57 ),
inference(subsumption_resolution,[],[f301,f728]) ).
tff(f301,plain,
( ( empty_set = intersection(sF15,sF8) )
| ( $sum(cardinality(sF15),cardinality(sF8)) != cardinality(sF16) )
| ~ spl17_17 ),
inference(superposition,[],[f93,f182]) ).
tff(f763,plain,
( ~ spl17_64
| ~ spl17_13
| spl17_54
| ~ spl17_60 ),
inference(avatar_split_clause,[],[f759,f741,f716,f165,f761]) ).
tff(f759,plain,
( ( cardinality(sF9) != $sum($sum(sF13,cardinality(sF6)),cardinality(sF8)) )
| ~ spl17_13
| spl17_54
| ~ spl17_60 ),
inference(forward_demodulation,[],[f758,f742]) ).
tff(f757,plain,
( ~ spl17_52
| ~ spl17_16
| spl17_51 ),
inference(avatar_split_clause,[],[f755,f695,f177,f698]) ).
tff(f755,plain,
( ( $sum(cardinality(sK1),cardinality(sF6)) != cardinality(sF15) )
| ~ spl17_16
| spl17_51 ),
inference(subsumption_resolution,[],[f297,f696]) ).
tff(f297,plain,
( ( $sum(cardinality(sK1),cardinality(sF6)) != cardinality(sF15) )
| ( empty_set = intersection(sK1,sF6) )
| ~ spl17_16 ),
inference(superposition,[],[f93,f178]) ).
tff(f754,plain,
( ~ spl17_62
| spl17_63
| ~ spl17_10
| ~ spl17_14 ),
inference(avatar_split_clause,[],[f291,f169,f153,f752,f749]) ).
tff(f291,plain,
( ( sF12 = $sum(cardinality(sF9),cardinality(sF10)) )
| ( empty_set != intersection(sF9,sF10) )
| ~ spl17_10
| ~ spl17_14 ),
inference(forward_demodulation,[],[f284,f154]) ).
tff(f284,plain,
( ( cardinality(sF11) = $sum(cardinality(sF9),cardinality(sF10)) )
| ( empty_set != intersection(sF9,sF10) )
| ~ spl17_14 ),
inference(superposition,[],[f92,f170]) ).
tff(f746,plain,
( spl17_60
| ~ spl17_61
| ~ spl17_11
| ~ spl17_12 ),
inference(avatar_split_clause,[],[f290,f161,f157,f744,f741]) ).
tff(f290,plain,
( ( empty_set != intersection(sK5,sF6) )
| ( cardinality(sF7) = $sum(sF13,cardinality(sF6)) )
| ~ spl17_11
| ~ spl17_12 ),
inference(forward_demodulation,[],[f282,f158]) ).
tff(f282,plain,
( ( empty_set != intersection(sK5,sF6) )
| ( $sum(cardinality(sK5),cardinality(sF6)) = cardinality(sF7) )
| ~ spl17_12 ),
inference(superposition,[],[f92,f162]) ).
tff(f739,plain,
( ~ spl17_59
| ~ spl17_12
| spl17_53 ),
inference(avatar_split_clause,[],[f714,f710,f161,f737]) ).
tff(f737,plain,
( spl17_59
<=> member(sK0(complement(sF9)),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_59])]) ).
tff(f714,plain,
( ~ member(sK0(complement(sF9)),sK5)
| ~ spl17_12
| spl17_53 ),
inference(resolution,[],[f711,f215]) ).
tff(f732,plain,
( spl17_57
| ~ spl17_58
| ~ spl17_17 ),
inference(avatar_split_clause,[],[f285,f181,f730,f727]) ).
tff(f285,plain,
( ( $sum(cardinality(sF15),cardinality(sF8)) = cardinality(sF16) )
| ( empty_set != intersection(sF15,sF8) )
| ~ spl17_17 ),
inference(superposition,[],[f92,f182]) ).
tff(f725,plain,
( ~ spl17_56
| ~ spl17_12
| spl17_53 ),
inference(avatar_split_clause,[],[f713,f710,f161,f723]) ).
tff(f723,plain,
( spl17_56
<=> member(sK0(complement(sF9)),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_56])]) ).
tff(f713,plain,
( ~ member(sK0(complement(sF9)),sF6)
| ~ spl17_12
| spl17_53 ),
inference(resolution,[],[f711,f220]) ).
tff(f721,plain,
( ~ spl17_54
| spl17_55
| ~ spl17_13 ),
inference(avatar_split_clause,[],[f283,f165,f719,f716]) ).
tff(f283,plain,
( ( $sum(cardinality(sF7),cardinality(sF8)) = cardinality(sF9) )
| ( empty_set != intersection(sF7,sF8) )
| ~ spl17_13 ),
inference(superposition,[],[f92,f166]) ).
tff(f712,plain,
( spl17_49
| ~ spl17_53
| ~ spl17_13 ),
inference(avatar_split_clause,[],[f355,f165,f710,f688]) ).
tff(f688,plain,
( spl17_49
<=> ( empty_set = complement(sF9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_49])]) ).
tff(f355,plain,
( ~ member(sK0(complement(sF9)),sF7)
| ( empty_set = complement(sF9) )
| ~ spl17_13 ),
inference(resolution,[],[f209,f216]) ).
tff(f707,plain,
( spl17_43
| ~ spl17_49 ),
inference(avatar_contradiction_clause,[],[f706]) ).
tff(f706,plain,
( $false
| spl17_43
| ~ spl17_49 ),
inference(resolution,[],[f703,f551]) ).
tff(f703,plain,
( ! [X0: element] : member(X0,sF9)
| ~ spl17_49 ),
inference(subsumption_resolution,[],[f702,f99]) ).
tff(f702,plain,
( ! [X0: element] :
( member(X0,sF9)
| member(X0,empty_set) )
| ~ spl17_49 ),
inference(superposition,[],[f88,f689]) ).
tff(f689,plain,
( ( empty_set = complement(sF9) )
| ~ spl17_49 ),
inference(avatar_component_clause,[],[f688]) ).
tff(f700,plain,
( ~ spl17_51
| spl17_52
| ~ spl17_16 ),
inference(avatar_split_clause,[],[f281,f177,f698,f695]) ).
tff(f281,plain,
( ( $sum(cardinality(sK1),cardinality(sF6)) = cardinality(sF15) )
| ( empty_set != intersection(sK1,sF6) )
| ~ spl17_16 ),
inference(superposition,[],[f92,f178]) ).
tff(f693,plain,
( spl17_49
| ~ spl17_50
| ~ spl17_13 ),
inference(avatar_split_clause,[],[f354,f165,f691,f688]) ).
tff(f354,plain,
( ~ member(sK0(complement(sF9)),sF8)
| ( empty_set = complement(sF9) )
| ~ spl17_13 ),
inference(resolution,[],[f209,f221]) ).
tff(f686,plain,
( spl17_46
| ~ spl17_48
| ~ spl17_12 ),
inference(avatar_split_clause,[],[f353,f161,f684,f666]) ).
tff(f666,plain,
( spl17_46
<=> ( empty_set = complement(sF7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_46])]) ).
tff(f353,plain,
( ( empty_set = complement(sF7) )
| ~ member(sK0(complement(sF7)),sK5)
| ~ spl17_12 ),
inference(resolution,[],[f209,f215]) ).
tff(f680,plain,
( spl17_42
| ~ spl17_46 ),
inference(avatar_contradiction_clause,[],[f677]) ).
tff(f677,plain,
( $false
| spl17_42
| ~ spl17_46 ),
inference(resolution,[],[f674,f530]) ).
tff(f530,plain,
( ~ member(sK2,sF7)
| spl17_42 ),
inference(avatar_component_clause,[],[f529]) ).
tff(f529,plain,
( spl17_42
<=> member(sK2,sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_42])]) ).
tff(f674,plain,
( ! [X0: element] : member(X0,sF7)
| ~ spl17_46 ),
inference(subsumption_resolution,[],[f673,f99]) ).
tff(f673,plain,
( ! [X0: element] :
( member(X0,sF7)
| member(X0,empty_set) )
| ~ spl17_46 ),
inference(superposition,[],[f88,f667]) ).
tff(f667,plain,
( ( empty_set = complement(sF7) )
| ~ spl17_46 ),
inference(avatar_component_clause,[],[f666]) ).
tff(f679,plain,
( spl17_35
| ~ spl17_46 ),
inference(avatar_contradiction_clause,[],[f678]) ).
tff(f678,plain,
( $false
| spl17_35
| ~ spl17_46 ),
inference(resolution,[],[f674,f393]) ).
tff(f671,plain,
( spl17_46
| ~ spl17_47
| ~ spl17_12 ),
inference(avatar_split_clause,[],[f352,f161,f669,f666]) ).
tff(f352,plain,
( ~ member(sK0(complement(sF7)),sF6)
| ( empty_set = complement(sF7) )
| ~ spl17_12 ),
inference(resolution,[],[f209,f220]) ).
tff(f664,plain,
( spl17_33
| ~ spl17_44 ),
inference(avatar_contradiction_clause,[],[f659]) ).
tff(f659,plain,
( $false
| spl17_33
| ~ spl17_44 ),
inference(resolution,[],[f651,f376]) ).
tff(f376,plain,
( ~ member(sK2,sK1)
| spl17_33 ),
inference(avatar_component_clause,[],[f375]) ).
tff(f375,plain,
( spl17_33
<=> member(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_33])]) ).
tff(f651,plain,
( ! [X0: element] : member(X0,sK1)
| ~ spl17_44 ),
inference(subsumption_resolution,[],[f650,f99]) ).
tff(f650,plain,
( ! [X0: element] :
( member(X0,sK1)
| member(X0,empty_set) )
| ~ spl17_44 ),
inference(superposition,[],[f88,f639]) ).
tff(f639,plain,
( ( empty_set = complement(sK1) )
| ~ spl17_44 ),
inference(avatar_component_clause,[],[f638]) ).
tff(f638,plain,
( spl17_44
<=> ( empty_set = complement(sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_44])]) ).
tff(f663,plain,
( spl17_1
| ~ spl17_44 ),
inference(avatar_contradiction_clause,[],[f660]) ).
tff(f660,plain,
( $false
| spl17_1
| ~ spl17_44 ),
inference(resolution,[],[f651,f118]) ).
tff(f662,plain,
( spl17_27
| ~ spl17_44 ),
inference(avatar_contradiction_clause,[],[f661]) ).
tff(f661,plain,
( $false
| spl17_27
| ~ spl17_44 ),
inference(resolution,[],[f651,f294]) ).
tff(f294,plain,
( ~ member(sK4,sK1)
| spl17_27 ),
inference(avatar_component_clause,[],[f293]) ).
tff(f293,plain,
( spl17_27
<=> member(sK4,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_27])]) ).
tff(f643,plain,
( spl17_44
| ~ spl17_45
| ~ spl17_2 ),
inference(avatar_split_clause,[],[f351,f121,f641,f638]) ).
tff(f641,plain,
( spl17_45
<=> member(sK0(complement(sK1)),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_45])]) ).
tff(f351,plain,
( ~ member(sK0(complement(sK1)),sK5)
| ( empty_set = complement(sK1) )
| ~ spl17_2 ),
inference(resolution,[],[f209,f245]) ).
tff(f552,plain,
( ~ spl17_43
| ~ spl17_13
| spl17_31
| spl17_42 ),
inference(avatar_split_clause,[],[f543,f529,f363,f165,f550]) ).
tff(f363,plain,
( spl17_31
<=> member(sK2,sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_31])]) ).
tff(f543,plain,
( ~ member(sK2,sF9)
| ~ spl17_13
| spl17_31
| spl17_42 ),
inference(subsumption_resolution,[],[f542,f530]) ).
tff(f542,plain,
( member(sK2,sF7)
| ~ member(sK2,sF9)
| ~ spl17_13
| spl17_31 ),
inference(resolution,[],[f253,f364]) ).
tff(f364,plain,
( ~ member(sK2,sF8)
| spl17_31 ),
inference(avatar_component_clause,[],[f363]) ).
tff(f531,plain,
( ~ spl17_42
| ~ spl17_12
| spl17_32
| spl17_34 ),
inference(avatar_split_clause,[],[f471,f388,f367,f161,f529]) ).
tff(f367,plain,
( spl17_32
<=> member(sK2,sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_32])]) ).
tff(f388,plain,
( spl17_34
<=> member(sK2,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_34])]) ).
tff(f471,plain,
( ~ member(sK2,sF7)
| ~ spl17_12
| spl17_32
| spl17_34 ),
inference(subsumption_resolution,[],[f469,f389]) ).
tff(f389,plain,
( ~ member(sK2,sK5)
| spl17_34 ),
inference(avatar_component_clause,[],[f388]) ).
tff(f469,plain,
( ~ member(sK2,sF7)
| member(sK2,sK5)
| ~ spl17_12
| spl17_32 ),
inference(resolution,[],[f252,f368]) ).
tff(f368,plain,
( ~ member(sK2,sF6)
| spl17_32 ),
inference(avatar_component_clause,[],[f367]) ).
tff(f505,plain,
( ~ spl17_19
| ~ spl17_39 ),
inference(avatar_contradiction_clause,[],[f504]) ).
tff(f504,plain,
( $false
| ~ spl17_19
| ~ spl17_39 ),
inference(subsumption_resolution,[],[f498,f99]) ).
tff(f498,plain,
( member(sK4,empty_set)
| ~ spl17_19
| ~ spl17_39 ),
inference(backward_demodulation,[],[f192,f453]) ).
tff(f453,plain,
( ( empty_set = sF8 )
| ~ spl17_39 ),
inference(avatar_component_clause,[],[f452]) ).
tff(f480,plain,
( ~ spl17_20
| ~ spl17_40 ),
inference(avatar_contradiction_clause,[],[f479]) ).
tff(f479,plain,
( $false
| ~ spl17_20
| ~ spl17_40 ),
inference(subsumption_resolution,[],[f476,f99]) ).
tff(f476,plain,
( member(sK2,empty_set)
| ~ spl17_20
| ~ spl17_40 ),
inference(backward_demodulation,[],[f197,f462]) ).
tff(f462,plain,
( ( empty_set = sF10 )
| ~ spl17_40 ),
inference(avatar_component_clause,[],[f461]) ).
tff(f466,plain,
( spl17_40
| spl17_41
| ~ spl17_9 ),
inference(avatar_split_clause,[],[f270,f149,f464,f461]) ).
tff(f464,plain,
( spl17_41
<=> ( sK2 = sK0(sF10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_41])]) ).
tff(f270,plain,
( ( empty_set = sF10 )
| ( sK2 = sK0(sF10) )
| ~ spl17_9 ),
inference(resolution,[],[f207,f69]) ).
tff(f454,plain,
( spl17_38
| spl17_39
| ~ spl17_8 ),
inference(avatar_split_clause,[],[f268,f145,f452,f449]) ).
tff(f449,plain,
( spl17_38
<=> ( sK4 = sK0(sF8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_38])]) ).
tff(f268,plain,
( ( empty_set = sF8 )
| ( sK4 = sK0(sF8) )
| ~ spl17_8 ),
inference(resolution,[],[f206,f69]) ).
tff(f419,plain,
( ~ spl17_18
| ~ spl17_36 ),
inference(avatar_contradiction_clause,[],[f418]) ).
tff(f418,plain,
( $false
| ~ spl17_18
| ~ spl17_36 ),
inference(subsumption_resolution,[],[f409,f99]) ).
tff(f409,plain,
( member(sK3,empty_set)
| ~ spl17_18
| ~ spl17_36 ),
inference(backward_demodulation,[],[f188,f401]) ).
tff(f401,plain,
( ( empty_set = sF6 )
| ~ spl17_36 ),
inference(avatar_component_clause,[],[f400]) ).
tff(f405,plain,
( spl17_36
| spl17_37
| ~ spl17_7 ),
inference(avatar_split_clause,[],[f263,f141,f403,f400]) ).
tff(f403,plain,
( spl17_37
<=> ( sK3 = sK0(sF6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_37])]) ).
tff(f263,plain,
( ( sK3 = sK0(sF6) )
| ( empty_set = sF6 )
| ~ spl17_7 ),
inference(resolution,[],[f205,f69]) ).
tff(f394,plain,
( ~ spl17_35
| ~ spl17_12
| spl17_28
| spl17_30 ),
inference(avatar_split_clause,[],[f382,f343,f307,f161,f392]) ).
tff(f307,plain,
( spl17_28
<=> member(sK4,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_28])]) ).
tff(f343,plain,
( spl17_30
<=> member(sK4,sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_30])]) ).
tff(f382,plain,
( ~ member(sK4,sF7)
| ~ spl17_12
| spl17_28
| spl17_30 ),
inference(subsumption_resolution,[],[f381,f308]) ).
tff(f308,plain,
( ~ member(sK4,sK5)
| spl17_28 ),
inference(avatar_component_clause,[],[f307]) ).
tff(f381,plain,
( member(sK4,sK5)
| ~ member(sK4,sF7)
| ~ spl17_12
| spl17_30 ),
inference(resolution,[],[f252,f344]) ).
tff(f344,plain,
( ~ member(sK4,sF6)
| spl17_30 ),
inference(avatar_component_clause,[],[f343]) ).
tff(f390,plain,
( ~ spl17_34
| ~ spl17_2
| spl17_33 ),
inference(avatar_split_clause,[],[f386,f375,f121,f388]) ).
tff(f386,plain,
( ~ member(sK2,sK5)
| ~ spl17_2
| spl17_33 ),
inference(resolution,[],[f376,f245]) ).
tff(f377,plain,
( ~ spl17_33
| ~ spl17_16
| spl17_29 ),
inference(avatar_split_clause,[],[f335,f331,f177,f375]) ).
tff(f335,plain,
( ~ member(sK2,sK1)
| ~ spl17_16
| spl17_29 ),
inference(resolution,[],[f332,f214]) ).
tff(f369,plain,
( ~ spl17_32
| ~ spl17_16
| spl17_29 ),
inference(avatar_split_clause,[],[f334,f331,f177,f367]) ).
tff(f334,plain,
( ~ member(sK2,sF6)
| ~ spl17_16
| spl17_29 ),
inference(resolution,[],[f332,f219]) ).
tff(f365,plain,
( ~ spl17_31
| spl17_5
| ~ spl17_17 ),
inference(avatar_split_clause,[],[f336,f181,f133,f363]) ).
tff(f336,plain,
( ~ member(sK2,sF8)
| spl17_5
| ~ spl17_17 ),
inference(resolution,[],[f223,f134]) ).
tff(f345,plain,
( ~ spl17_30
| spl17_4
| ~ spl17_16 ),
inference(avatar_split_clause,[],[f329,f177,f129,f343]) ).
tff(f329,plain,
( ~ member(sK4,sF6)
| spl17_4
| ~ spl17_16 ),
inference(resolution,[],[f219,f130]) ).
tff(f333,plain,
( ~ spl17_29
| spl17_5
| ~ spl17_17 ),
inference(avatar_split_clause,[],[f328,f181,f133,f331]) ).
tff(f328,plain,
( ~ member(sK2,sF15)
| spl17_5
| ~ spl17_17 ),
inference(resolution,[],[f218,f134]) ).
tff(f309,plain,
( ~ spl17_28
| ~ spl17_2
| spl17_27 ),
inference(avatar_split_clause,[],[f296,f293,f121,f307]) ).
tff(f296,plain,
( ~ member(sK4,sK5)
| ~ spl17_2
| spl17_27 ),
inference(resolution,[],[f294,f245]) ).
tff(f295,plain,
( ~ spl17_27
| spl17_4
| ~ spl17_16 ),
inference(avatar_split_clause,[],[f275,f177,f129,f293]) ).
tff(f275,plain,
( ~ member(sK4,sK1)
| spl17_4
| ~ spl17_16 ),
inference(resolution,[],[f214,f130]) ).
tff(f262,plain,
( ~ spl17_26
| spl17_1
| ~ spl17_2 ),
inference(avatar_split_clause,[],[f256,f121,f117,f260]) ).
tff(f256,plain,
( ~ member(sK3,sK5)
| spl17_1
| ~ spl17_2 ),
inference(resolution,[],[f245,f118]) ).
tff(f240,plain,
( ~ spl17_24
| spl17_25
| ~ spl17_11 ),
inference(avatar_split_clause,[],[f202,f157,f238,f235]) ).
tff(f235,plain,
( spl17_24
<=> ( 0 = sF13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_24])]) ).
tff(f238,plain,
( spl17_25
<=> ( empty_set = sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_25])]) ).
tff(f202,plain,
( ( 0 != sF13 )
| ( empty_set = sK5 )
| ~ spl17_11 ),
inference(superposition,[],[f71,f158]) ).
tff(f233,plain,
( ~ spl17_22
| spl17_23
| ~ spl17_10 ),
inference(avatar_split_clause,[],[f201,f153,f231,f228]) ).
tff(f228,plain,
( spl17_22
<=> ( 0 = sF12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_22])]) ).
tff(f201,plain,
( ( empty_set = sF11 )
| ( 0 != sF12 )
| ~ spl17_10 ),
inference(superposition,[],[f71,f154]) ).
tff(f213,plain,
( ~ spl17_21
| spl17_3
| ~ spl17_15 ),
inference(avatar_split_clause,[],[f199,f173,f125,f211]) ).
tff(f211,plain,
( spl17_21
<=> ( sF12 = $sum(sF13,3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_21])]) ).
tff(f125,plain,
( spl17_3
<=> ( sF12 = sF14 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).
tff(f173,plain,
( spl17_15
<=> ( $sum(sF13,3) = sF14 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_15])]) ).
tff(f199,plain,
( ( sF12 != $sum(sF13,3) )
| spl17_3
| ~ spl17_15 ),
inference(superposition,[],[f126,f174]) ).
tff(f174,plain,
( ( $sum(sF13,3) = sF14 )
| ~ spl17_15 ),
inference(avatar_component_clause,[],[f173]) ).
tff(f126,plain,
( ( sF12 != sF14 )
| spl17_3 ),
inference(avatar_component_clause,[],[f125]) ).
tff(f198,plain,
( spl17_20
| ~ spl17_9 ),
inference(avatar_split_clause,[],[f194,f149,f196]) ).
tff(f194,plain,
( member(sK2,sF10)
| ~ spl17_9 ),
inference(superposition,[],[f101,f150]) ).
tff(f101,plain,
! [X1: element] : member(X1,singleton(X1)),
inference(equality_resolution,[],[f84]) ).
tff(f84,plain,
! [X0: element,X1: element] :
( member(X1,singleton(X0))
| ( X0 != X1 ) ),
inference(cnf_transformation,[],[f55]) ).
tff(f193,plain,
( spl17_19
| ~ spl17_8 ),
inference(avatar_split_clause,[],[f185,f145,f191]) ).
tff(f185,plain,
( member(sK4,sF8)
| ~ spl17_8 ),
inference(superposition,[],[f101,f146]) ).
tff(f189,plain,
( spl17_18
| ~ spl17_7 ),
inference(avatar_split_clause,[],[f184,f141,f187]) ).
tff(f184,plain,
( member(sK3,sF6)
| ~ spl17_7 ),
inference(superposition,[],[f101,f142]) ).
tff(f183,plain,
spl17_17,
inference(avatar_split_clause,[],[f114,f181]) ).
tff(f114,plain,
union(sF15,sF8) = sF16,
introduced(function_definition,[new_symbols(definition,[sF16])]) ).
tff(f179,plain,
spl17_16,
inference(avatar_split_clause,[],[f112,f177]) ).
tff(f112,plain,
union(sK1,sF6) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
tff(f175,plain,
spl17_15,
inference(avatar_split_clause,[],[f110,f173]) ).
tff(f110,plain,
$sum(sF13,3) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
tff(f171,plain,
spl17_14,
inference(avatar_split_clause,[],[f107,f169]) ).
tff(f107,plain,
union(sF9,sF10) = sF11,
introduced(function_definition,[new_symbols(definition,[sF11])]) ).
tff(f167,plain,
spl17_13,
inference(avatar_split_clause,[],[f105,f165]) ).
tff(f105,plain,
union(sF7,sF8) = sF9,
introduced(function_definition,[new_symbols(definition,[sF9])]) ).
tff(f163,plain,
spl17_12,
inference(avatar_split_clause,[],[f103,f161]) ).
tff(f103,plain,
union(sK5,sF6) = sF7,
introduced(function_definition,[new_symbols(definition,[sF7])]) ).
tff(f159,plain,
spl17_11,
inference(avatar_split_clause,[],[f109,f157]) ).
tff(f109,plain,
cardinality(sK5) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
tff(f155,plain,
spl17_10,
inference(avatar_split_clause,[],[f108,f153]) ).
tff(f108,plain,
cardinality(sF11) = sF12,
introduced(function_definition,[new_symbols(definition,[sF12])]) ).
tff(f151,plain,
spl17_9,
inference(avatar_split_clause,[],[f106,f149]) ).
tff(f106,plain,
singleton(sK2) = sF10,
introduced(function_definition,[new_symbols(definition,[sF10])]) ).
tff(f147,plain,
spl17_8,
inference(avatar_split_clause,[],[f104,f145]) ).
tff(f104,plain,
singleton(sK4) = sF8,
introduced(function_definition,[new_symbols(definition,[sF8])]) ).
tff(f143,plain,
spl17_7,
inference(avatar_split_clause,[],[f102,f141]) ).
tff(f102,plain,
singleton(sK3) = sF6,
introduced(function_definition,[new_symbols(definition,[sF6])]) ).
tff(f139,plain,
spl17_6,
inference(avatar_split_clause,[],[f100,f137]) ).
tff(f100,plain,
0 = cardinality(empty_set),
inference(equality_resolution,[],[f72]) ).
tff(f72,plain,
! [X0: set] :
( ( cardinality(X0) = 0 )
| ( empty_set != X0 ) ),
inference(cnf_transformation,[],[f46]) ).
tff(f135,plain,
~ spl17_5,
inference(avatar_split_clause,[],[f115,f133]) ).
tff(f115,plain,
~ member(sK2,sF16),
inference(definition_folding,[],[f76,f114,f104,f112,f102]) ).
tff(f76,plain,
~ member(sK2,union(union(sK1,singleton(sK3)),singleton(sK4))),
inference(cnf_transformation,[],[f50]) ).
tff(f50,plain,
( ( cardinality(union(union(union(sK5,singleton(sK3)),singleton(sK4)),singleton(sK2))) != $sum(cardinality(sK5),3) )
& ~ member(sK4,union(sK1,singleton(sK3)))
& subset(sK5,sK1)
& ~ member(sK2,union(union(sK1,singleton(sK3)),singleton(sK4)))
& ~ member(sK3,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5])],[f48,f49]) ).
tff(f49,plain,
( ? [X0: set,X1: element,X2: element,X3: element,X4: set] :
( ( cardinality(union(union(union(X4,singleton(X2)),singleton(X3)),singleton(X1))) != $sum(cardinality(X4),3) )
& ~ member(X3,union(X0,singleton(X2)))
& subset(X4,X0)
& ~ member(X1,union(union(X0,singleton(X2)),singleton(X3)))
& ~ member(X2,X0) )
=> ( ( cardinality(union(union(union(sK5,singleton(sK3)),singleton(sK4)),singleton(sK2))) != $sum(cardinality(sK5),3) )
& ~ member(sK4,union(sK1,singleton(sK3)))
& subset(sK5,sK1)
& ~ member(sK2,union(union(sK1,singleton(sK3)),singleton(sK4)))
& ~ member(sK3,sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f48,plain,
? [X0: set,X1: element,X2: element,X3: element,X4: set] :
( ( cardinality(union(union(union(X4,singleton(X2)),singleton(X3)),singleton(X1))) != $sum(cardinality(X4),3) )
& ~ member(X3,union(X0,singleton(X2)))
& subset(X4,X0)
& ~ member(X1,union(union(X0,singleton(X2)),singleton(X3)))
& ~ member(X2,X0) ),
inference(rectify,[],[f40]) ).
tff(f40,plain,
? [X2: set,X3: element,X4: element,X0: element,X1: set] :
( ( cardinality(union(union(union(X1,singleton(X4)),singleton(X0)),singleton(X3))) != $sum(cardinality(X1),3) )
& ~ member(X0,union(X2,singleton(X4)))
& subset(X1,X2)
& ~ member(X3,union(union(X2,singleton(X4)),singleton(X0)))
& ~ member(X4,X2) ),
inference(flattening,[],[f39]) ).
tff(f39,plain,
? [X4: element,X1: set,X2: set,X3: element,X0: element] :
( ( cardinality(union(union(union(X1,singleton(X4)),singleton(X0)),singleton(X3))) != $sum(cardinality(X1),3) )
& subset(X1,X2)
& ~ member(X3,union(union(X2,singleton(X4)),singleton(X0)))
& ~ member(X0,union(X2,singleton(X4)))
& ~ member(X4,X2) ),
inference(ennf_transformation,[],[f34]) ).
tff(f34,plain,
~ ! [X4: element,X1: set,X2: set,X3: element,X0: element] :
( ( subset(X1,X2)
& ~ member(X3,union(union(X2,singleton(X4)),singleton(X0)))
& ~ member(X0,union(X2,singleton(X4)))
& ~ member(X4,X2) )
=> ( cardinality(union(union(union(X1,singleton(X4)),singleton(X0)),singleton(X3))) = $sum(cardinality(X1),3) ) ),
inference(rectify,[],[f14]) ).
tff(f14,negated_conjecture,
~ ! [X8: element,X6: set,X2: set,X9: element,X7: element] :
( ( subset(X6,X2)
& ~ member(X7,X2)
& ~ member(X9,union(union(X2,singleton(X7)),singleton(X8)))
& ~ member(X8,union(X2,singleton(X7))) )
=> ( cardinality(union(union(union(X6,singleton(X7)),singleton(X8)),singleton(X9))) = $sum(cardinality(X6),3) ) ),
inference(negated_conjecture,[],[f13]) ).
tff(f13,conjecture,
! [X8: element,X6: set,X2: set,X9: element,X7: element] :
( ( subset(X6,X2)
& ~ member(X7,X2)
& ~ member(X9,union(union(X2,singleton(X7)),singleton(X8)))
& ~ member(X8,union(X2,singleton(X7))) )
=> ( cardinality(union(union(union(X6,singleton(X7)),singleton(X8)),singleton(X9))) = $sum(cardinality(X6),3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f131,plain,
~ spl17_4,
inference(avatar_split_clause,[],[f113,f129]) ).
tff(f113,plain,
~ member(sK4,sF15),
inference(definition_folding,[],[f78,f112,f102]) ).
tff(f78,plain,
~ member(sK4,union(sK1,singleton(sK3))),
inference(cnf_transformation,[],[f50]) ).
tff(f127,plain,
~ spl17_3,
inference(avatar_split_clause,[],[f111,f125]) ).
tff(f111,plain,
sF12 != sF14,
inference(definition_folding,[],[f79,f110,f109,f108,f107,f106,f105,f104,f103,f102]) ).
tff(f79,plain,
cardinality(union(union(union(sK5,singleton(sK3)),singleton(sK4)),singleton(sK2))) != $sum(cardinality(sK5),3),
inference(cnf_transformation,[],[f50]) ).
tff(f123,plain,
spl17_2,
inference(avatar_split_clause,[],[f77,f121]) ).
tff(f77,plain,
subset(sK5,sK1),
inference(cnf_transformation,[],[f50]) ).
tff(f119,plain,
~ spl17_1,
inference(avatar_split_clause,[],[f75,f117]) ).
tff(f75,plain,
~ member(sK3,sK1),
inference(cnf_transformation,[],[f50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07 % Problem : SEV424_1 : TPTP v8.2.0. Released v5.0.0.
% 0.02/0.07 % Command : run_vampire %s %d THM
% 0.06/0.25 % Computer : n021.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Fri Jun 21 19:38:53 EDT 2024
% 0.06/0.26 % CPUTime :
% 0.11/0.27 This is a TF0_THM_EQU_ARI problem
% 0.11/0.27 Running first-order theorem proving
% 0.11/0.27 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.31 % (19838)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.31 % (19843)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)
% 0.11/0.31 % (19838)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.31 % (19842)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)
% 0.11/0.31 % (19838)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.31 % (19841)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)
% 0.11/0.31 % (19838)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.31 % (19844)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)
% 0.11/0.31 % (19838)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.31 % (19845)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)
% 0.11/0.31 % (19843)Instruction limit reached!
% 0.11/0.31 % (19843)------------------------------
% 0.11/0.31 % (19843)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.11/0.31 % (19843)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.11/0.31 % (19843)Termination reason: Time limit
% 0.11/0.31 % (19843)Termination phase: Property scanning
% 0.11/0.31
% 0.11/0.31 % (19843)Memory used [KB]: 819
% 0.11/0.31 % (19843)Time elapsed: 0.002 s
% 0.11/0.31 % (19843)Instructions burned: 2 (million)
% 0.11/0.31 % (19838)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.31 % (19846)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)
% 0.11/0.31 % (19838)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.31 % (19840)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)
% 0.11/0.31 % (19841)Refutation not found, incomplete strategy% (19841)------------------------------
% 0.11/0.31 % (19841)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.11/0.31 % (19841)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.11/0.31 % (19841)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.31
% 0.11/0.31 % (19841)Memory used [KB]: 853
% 0.11/0.31 % (19841)Time elapsed: 0.004 s
% 0.11/0.31 % (19841)Instructions burned: 6 (million)
% 0.11/0.31 % (19841)------------------------------
% 0.11/0.31 % (19841)------------------------------
% 0.11/0.31 % (19842)Instruction limit reached!
% 0.11/0.31 % (19842)------------------------------
% 0.11/0.31 % (19842)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.11/0.31 % (19842)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.11/0.31 % (19842)Termination reason: Time limit
% 0.11/0.31 % (19842)Termination phase: Saturation
% 0.11/0.31
% 0.11/0.31 % (19842)Memory used [KB]: 889
% 0.11/0.31 % (19842)Time elapsed: 0.005 s
% 0.11/0.31 % (19842)Instructions burned: 8 (million)
% 0.11/0.31 % (19845)Instruction limit reached!
% 0.11/0.31 % (19845)------------------------------
% 0.11/0.31 % (19845)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.11/0.31 % (19845)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.11/0.31 % (19845)Termination reason: Time limit
% 0.11/0.31 % (19845)Termination phase: Saturation
% 0.11/0.31
% 0.11/0.31 % (19845)Memory used [KB]: 974
% 0.11/0.31 % (19845)Time elapsed: 0.008 s
% 0.11/0.31 % (19845)Instructions burned: 17 (million)
% 0.11/0.32 % (19846)Instruction limit reached!
% 0.11/0.32 % (19846)------------------------------
% 0.11/0.32 % (19846)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.11/0.32 % (19846)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.11/0.32 % (19846)Termination reason: Time limit
% 0.11/0.32 % (19846)Termination phase: Saturation
% 0.11/0.32
% 0.11/0.32 % (19846)Memory used [KB]: 1312
% 0.11/0.32 % (19846)Time elapsed: 0.012 s
% 0.11/0.32 % (19846)Instructions burned: 33 (million)
% 0.11/0.32 % (19844)Instruction limit reached!
% 0.11/0.32 % (19844)------------------------------
% 0.11/0.32 % (19844)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.11/0.32 % (19844)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.11/0.32 % (19844)Termination reason: Time limit
% 0.11/0.32 % (19844)Termination phase: Saturation
% 0.11/0.32
% 0.11/0.32 % (19844)Memory used [KB]: 1453
% 0.11/0.32 % (19844)Time elapsed: 0.014 s
% 0.11/0.32 % (19844)Instructions burned: 38 (million)
% 0.11/0.34 % (19838)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (19882)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)
% 0.11/0.34 % (19882)Refutation not found, incomplete strategy% (19882)------------------------------
% 0.11/0.34 % (19882)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.11/0.34 % (19882)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.11/0.34 % (19882)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.34
% 0.11/0.34 % (19882)Memory used [KB]: 851
% 0.11/0.34 % (19882)Time elapsed: 0.002 s
% 0.11/0.34 % (19882)Instructions burned: 4 (million)
% 0.11/0.34 % (19838)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (19886)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)
% 0.11/0.34 % (19882)------------------------------
% 0.11/0.34 % (19882)------------------------------
% 0.11/0.34 % (19838)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (19890)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.11/0.34 % (19838)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (19888)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)
% 0.11/0.35 % (19888)Instruction limit reached!
% 0.11/0.35 % (19888)------------------------------
% 0.11/0.35 % (19888)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.11/0.35 % (19888)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.11/0.35 % (19888)Termination reason: Time limit
% 0.11/0.35 % (19888)Termination phase: Property scanning
% 0.11/0.35
% 0.11/0.35 % (19888)Memory used [KB]: 819
% 0.11/0.35 % (19888)Time elapsed: 0.002 s
% 0.11/0.35 % (19888)Instructions burned: 2 (million)
% 0.11/0.35 % (19838)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.35 % (19894)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)
% 0.11/0.35 % (19886)Instruction limit reached!
% 0.11/0.35 % (19886)------------------------------
% 0.11/0.35 % (19886)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.11/0.35 % (19886)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.11/0.35 % (19886)Termination reason: Time limit
% 0.11/0.35 % (19886)Termination phase: Saturation
% 0.11/0.35
% 0.11/0.35 % (19886)Memory used [KB]: 1132
% 0.11/0.35 % (19886)Time elapsed: 0.011 s
% 0.11/0.35 % (19886)Instructions burned: 29 (million)
% 0.11/0.35 % (19894)Instruction limit reached!
% 0.11/0.35 % (19894)------------------------------
% 0.11/0.35 % (19894)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.11/0.35 % (19894)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.11/0.35 % (19894)Termination reason: Time limit
% 0.11/0.35 % (19894)Termination phase: Saturation
% 0.11/0.35
% 0.11/0.35 % (19894)Memory used [KB]: 948
% 0.11/0.35 % (19894)Time elapsed: 0.003 s
% 0.11/0.35 % (19894)Instructions burned: 4 (million)
% 0.11/0.35 % (19838)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.35 % (19898)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)
% 0.11/0.35 % (19898)Instruction limit reached!
% 0.11/0.35 % (19898)------------------------------
% 0.11/0.35 % (19898)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.11/0.35 % (19898)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.11/0.35 % (19898)Termination reason: Time limit
% 0.11/0.35 % (19898)Termination phase: Saturation
% 0.11/0.35
% 0.11/0.35 % (19898)Memory used [KB]: 834
% 0.11/0.35 % (19898)Time elapsed: 0.002 s
% 0.11/0.35 % (19898)Instructions burned: 3 (million)
% 0.11/0.36 % (19890)Instruction limit reached!
% 0.11/0.36 % (19890)------------------------------
% 0.11/0.36 % (19890)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.11/0.36 % (19890)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.11/0.36 % (19890)Termination reason: Time limit
% 0.11/0.36 % (19890)Termination phase: Saturation
% 0.11/0.36
% 0.11/0.36 % (19890)Memory used [KB]: 1287
% 0.11/0.36 % (19890)Time elapsed: 0.016 s
% 0.11/0.36 % (19890)Instructions burned: 35 (million)
% 0.11/0.39 % (19838)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.39 % (19918)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.11/0.40 % (19838)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.40 % (19920)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)
% 0.11/0.41 % (19838)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.41 % (19926)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.11/0.41 % (19926)Instruction limit reached!
% 0.11/0.41 % (19926)------------------------------
% 0.11/0.41 % (19926)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.11/0.41 % (19926)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.11/0.41 % (19926)Termination reason: Time limit
% 0.11/0.41 % (19926)Termination phase: Property scanning
% 0.11/0.41
% 0.11/0.41 % (19926)Memory used [KB]: 816
% 0.11/0.41 % (19926)Time elapsed: 0.003 s
% 0.11/0.41 % (19926)Instructions burned: 2 (million)
% 0.11/0.41 % (19918)Instruction limit reached!
% 0.11/0.41 % (19918)------------------------------
% 0.11/0.41 % (19918)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.11/0.41 % (19918)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.11/0.41 % (19918)Termination reason: Time limit
% 0.11/0.41 % (19918)Termination phase: Saturation
% 0.11/0.41
% 0.11/0.41 % (19918)Memory used [KB]: 1035
% 0.11/0.41 % (19918)Time elapsed: 0.026 s
% 0.11/0.41 % (19918)Instructions burned: 21 (million)
% 0.11/0.42 % (19838)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.42 % (19929)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)
% 0.11/0.42 % (19838)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.42 % (19925)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)
% 0.11/0.42 % (19925)Instruction limit reached!
% 0.11/0.42 % (19925)------------------------------
% 0.11/0.42 % (19925)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.11/0.42 % (19925)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.11/0.42 % (19925)Termination reason: Time limit
% 0.11/0.42 % (19925)Termination phase: Preprocessing 3
% 0.11/0.42
% 0.11/0.42 % (19925)Memory used [KB]: 749
% 0.11/0.42 % (19925)Time elapsed: 0.004 s
% 0.11/0.42 % (19925)Instructions burned: 2 (million)
% 0.11/0.43 % (19838)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.43 % (19948)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)
% 0.11/0.44 % (19948)Instruction limit reached!
% 0.11/0.44 % (19948)------------------------------
% 0.11/0.44 % (19948)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.11/0.44 % (19948)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.11/0.44 % (19948)Termination reason: Time limit
% 0.11/0.44 % (19948)Termination phase: Saturation
% 0.11/0.44
% 0.11/0.44 % (19948)Memory used [KB]: 970
% 0.11/0.44 % (19948)Time elapsed: 0.020 s
% 0.11/0.44 % (19948)Instructions burned: 15 (million)
% 0.11/0.45 % (19929)Instruction limit reached!
% 0.11/0.45 % (19929)------------------------------
% 0.11/0.45 % (19929)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.11/0.45 % (19929)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.11/0.45 % (19929)Termination reason: Time limit
% 0.11/0.45 % (19929)Termination phase: Saturation
% 0.11/0.45
% 0.11/0.45 % (19929)Memory used [KB]: 1297
% 0.11/0.45 % (19929)Time elapsed: 0.033 s
% 0.11/0.45 % (19929)Instructions burned: 50 (million)
% 0.11/0.45 % (19920)Instruction limit reached!
% 0.11/0.45 % (19920)------------------------------
% 0.11/0.45 % (19920)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.11/0.45 % (19920)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.11/0.45 % (19920)Termination reason: Time limit
% 0.11/0.45 % (19920)Termination phase: Saturation
% 0.11/0.45
% 0.11/0.45 % (19920)Memory used [KB]: 1608
% 0.11/0.45 % (19920)Time elapsed: 0.049 s
% 0.11/0.45 % (19920)Instructions burned: 50 (million)
% 0.11/0.47 % (19838)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.47 % (19949)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 (2998ds/2Mi)
% 0.11/0.47 % (19949)Instruction limit reached!
% 0.11/0.47 % (19949)------------------------------
% 0.11/0.47 % (19949)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.11/0.47 % (19949)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.11/0.47 % (19949)Termination reason: Time limit
% 0.11/0.47 % (19949)Termination phase: Saturation
% 0.11/0.47
% 0.11/0.47 % (19949)Memory used [KB]: 869
% 0.11/0.47 % (19949)Time elapsed: 0.003 s
% 0.11/0.47 % (19949)Instructions burned: 3 (million)
% 0.11/0.47 % (19838)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.47 % (19950)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 0.11/0.48 % (19950)Instruction limit reached!
% 0.11/0.48 % (19950)------------------------------
% 0.11/0.48 % (19950)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.11/0.48 % (19950)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.11/0.48 % (19950)Termination reason: Time limit
% 0.11/0.48 % (19950)Termination phase: Saturation
% 0.11/0.48
% 0.11/0.48 % (19950)Memory used [KB]: 919
% 0.11/0.48 % (19950)Time elapsed: 0.008 s
% 0.11/0.48 % (19950)Instructions burned: 17 (million)
% 0.11/0.48 % (19838)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.48 % (19951)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/21Mi)
% 0.11/0.49 % (19951)Instruction limit reached!
% 0.11/0.49 % (19951)------------------------------
% 0.11/0.49 % (19951)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.11/0.49 % (19951)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.11/0.49 % (19951)Termination reason: Time limit
% 0.11/0.49 % (19951)Termination phase: Saturation
% 0.11/0.49
% 0.11/0.49 % (19951)Memory used [KB]: 1087
% 0.11/0.49 % (19951)Time elapsed: 0.010 s
% 0.11/0.49 % (19951)Instructions burned: 22 (million)
% 0.11/0.49 % (19838)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.49 % (19952)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 (2998ds/46Mi)
% 0.11/0.49 % (19838)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.49 % (19953)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 0.11/0.49 % (19953)Refutation not found, incomplete strategy% (19953)------------------------------
% 0.11/0.49 % (19953)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.11/0.49 % (19953)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.11/0.49 % (19953)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.49
% 0.11/0.49 % (19953)Memory used [KB]: 851
% 0.11/0.49 % (19953)Time elapsed: 0.003 s
% 0.11/0.49 % (19953)Instructions burned: 5 (million)
% 0.11/0.49 % (19952)Refutation not found, incomplete strategy% (19952)------------------------------
% 0.11/0.49 % (19952)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.11/0.49 % (19952)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.11/0.49 % (19952)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.49
% 0.11/0.49 % (19952)Memory used [KB]: 861
% 0.11/0.49 % (19952)Time elapsed: 0.004 s
% 0.11/0.49 % (19952)Instructions burned: 8 (million)
% 0.11/0.49 % (19953)------------------------------
% 0.11/0.49 % (19953)------------------------------
% 0.11/0.49 % (19952)------------------------------
% 0.11/0.49 % (19952)------------------------------
% 0.11/0.50 % (19838)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.50 % (19954)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 (2998ds/47Mi)
% 0.11/0.51 % (19838)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.51 % (19955)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 (2998ds/42Mi)
% 0.11/0.51 % (19838)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.51 % (19959)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/43Mi)
% 0.11/0.52 % (19954)Instruction limit reached!
% 0.11/0.52 % (19954)------------------------------
% 0.11/0.52 % (19954)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.11/0.52 % (19954)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.11/0.52 % (19954)Termination reason: Time limit
% 0.11/0.52 % (19954)Termination phase: Saturation
% 0.11/0.52
% 0.11/0.52 % (19954)Memory used [KB]: 1377
% 0.11/0.52 % (19954)Time elapsed: 0.040 s
% 0.11/0.52 % (19954)Instructions burned: 48 (million)
% 0.11/0.52 % (19955)Instruction limit reached!
% 0.11/0.52 % (19955)------------------------------
% 0.11/0.52 % (19955)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.11/0.52 % (19955)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.11/0.52 % (19955)Termination reason: Time limit
% 0.11/0.52 % (19955)Termination phase: Saturation
% 0.11/0.52
% 0.11/0.52 % (19955)Memory used [KB]: 1327
% 0.11/0.52 % (19955)Time elapsed: 0.037 s
% 0.11/0.52 % (19955)Instructions burned: 43 (million)
% 0.11/0.52 % (19838)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.52 % (19960)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/21Mi)
% 0.11/0.53 % (19838)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.53 % (19961)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 (2997ds/21Mi)
% 0.11/0.53 % (19838)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.53 % (19962)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 (2997ds/41Mi)
% 0.11/0.53 % (19959)Instruction limit reached!
% 0.11/0.53 % (19959)------------------------------
% 0.11/0.53 % (19959)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.11/0.53 % (19959)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.11/0.53 % (19959)Termination reason: Time limit
% 0.11/0.53 % (19959)Termination phase: Saturation
% 0.11/0.53
% 0.11/0.53 % (19959)Memory used [KB]: 1422
% 0.11/0.53 % (19959)Time elapsed: 0.016 s
% 0.11/0.53 % (19959)Instructions burned: 45 (million)
% 0.11/0.53 % (19960)Instruction limit reached!
% 0.11/0.53 % (19960)------------------------------
% 0.11/0.53 % (19960)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.11/0.53 % (19960)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.11/0.53 % (19960)Termination reason: Time limit
% 0.11/0.53 % (19960)Termination phase: Saturation
% 0.11/0.53
% 0.11/0.53 % (19960)Memory used [KB]: 1086
% 0.11/0.53 % (19960)Time elapsed: 0.010 s
% 0.11/0.53 % (19960)Instructions burned: 22 (million)
% 0.11/0.54 % (19961)Instruction limit reached!
% 0.11/0.54 % (19961)------------------------------
% 0.11/0.54 % (19961)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.11/0.54 % (19961)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.11/0.54 % (19961)Termination reason: Time limit
% 0.11/0.54 % (19961)Termination phase: Saturation
% 0.11/0.54
% 0.11/0.54 % (19961)Memory used [KB]: 943
% 0.11/0.54 % (19961)Time elapsed: 0.010 s
% 0.11/0.54 % (19961)Instructions burned: 22 (million)
% 0.11/0.54 % (19962)Instruction limit reached!
% 0.11/0.54 % (19962)------------------------------
% 0.11/0.54 % (19962)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.11/0.54 % (19962)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.11/0.54 % (19962)Termination reason: Time limit
% 0.11/0.54 % (19962)Termination phase: Saturation
% 0.11/0.54
% 0.11/0.54 % (19962)Memory used [KB]: 1322
% 0.11/0.54 % (19962)Time elapsed: 0.018 s
% 0.11/0.54 % (19962)Instructions burned: 43 (million)
% 0.11/0.55 % (19838)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.55 % (19964)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 (2997ds/47Mi)
% 0.11/0.56 % (19838)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.56 % (19963)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/15Mi)
% 2.06/0.56 % (19838)Running in auto input_syntax mode. Trying TPTP
% 2.06/0.56 % (19965)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/25Mi)
% 2.06/0.57 % (19838)Running in auto input_syntax mode. Trying TPTP
% 2.06/0.57 % (19966)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 (2997ds/148Mi)
% 2.06/0.57 % (19963)Instruction limit reached!
% 2.06/0.57 % (19963)------------------------------
% 2.06/0.57 % (19963)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.06/0.57 % (19963)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.06/0.57 % (19963)Termination reason: Time limit
% 2.06/0.57 % (19963)Termination phase: Saturation
% 2.06/0.57
% 2.06/0.57 % (19963)Memory used [KB]: 970
% 2.06/0.57 % (19963)Time elapsed: 0.014 s
% 2.06/0.57 % (19963)Instructions burned: 16 (million)
% 2.06/0.57 % (19966)Refutation not found, incomplete strategy% (19966)------------------------------
% 2.06/0.57 % (19966)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.06/0.57 % (19966)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.06/0.57 % (19966)Termination reason: Refutation not found, incomplete strategy
% 2.06/0.57
% 2.06/0.57 % (19966)Memory used [KB]: 853
% 2.06/0.57 % (19966)Time elapsed: 0.004 s
% 2.06/0.57 % (19966)Instructions burned: 6 (million)
% 2.06/0.57 % (19966)------------------------------
% 2.06/0.57 % (19966)------------------------------
% 2.06/0.57 % (19838)Running in auto input_syntax mode. Trying TPTP
% 2.06/0.57 % (19967)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 (2997ds/100Mi)
% 2.06/0.57 % (19964)Instruction limit reached!
% 2.06/0.57 % (19964)------------------------------
% 2.06/0.57 % (19964)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.06/0.57 % (19964)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.06/0.57 % (19964)Termination reason: Time limit
% 2.06/0.57 % (19964)Termination phase: Saturation
% 2.06/0.57
% 2.06/0.57 % (19964)Memory used [KB]: 1426
% 2.06/0.57 % (19964)Time elapsed: 0.019 s
% 2.06/0.57 % (19964)Instructions burned: 49 (million)
% 2.06/0.57 % (19965)Instruction limit reached!
% 2.06/0.57 % (19965)------------------------------
% 2.06/0.57 % (19965)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.06/0.57 % (19965)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.06/0.57 % (19965)Termination reason: Time limit
% 2.06/0.57 % (19965)Termination phase: Saturation
% 2.06/0.57
% 2.06/0.57 % (19965)Memory used [KB]: 1114
% 2.06/0.57 % (19965)Time elapsed: 0.012 s
% 2.06/0.57 % (19965)Instructions burned: 27 (million)
% 2.16/0.58 % (19838)Running in auto input_syntax mode. Trying TPTP
% 2.16/0.58 % (19968)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 (2997ds/76Mi)
% 2.16/0.60 % (19838)Running in auto input_syntax mode. Trying TPTP
% 2.16/0.60 % (19979)lrs+10_1:1_thi=all:thigen=on:i=96:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/96Mi)
% 2.16/0.61 % (19967)Instruction limit reached!
% 2.16/0.61 % (19967)------------------------------
% 2.16/0.61 % (19967)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.16/0.61 % (19967)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.16/0.61 % (19967)Termination reason: Time limit
% 2.16/0.61 % (19967)Termination phase: Saturation
% 2.16/0.61
% 2.16/0.61 % (19967)Memory used [KB]: 2364
% 2.16/0.61 % (19967)Time elapsed: 0.036 s
% 2.16/0.61 % (19967)Instructions burned: 100 (million)
% 2.16/0.61 % (19968)Instruction limit reached!
% 2.16/0.61 % (19968)------------------------------
% 2.16/0.61 % (19968)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.16/0.61 % (19968)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.16/0.61 % (19968)Termination reason: Time limit
% 2.16/0.61 % (19968)Termination phase: Saturation
% 2.16/0.61
% 2.16/0.61 % (19968)Memory used [KB]: 2049
% 2.16/0.61 % (19968)Time elapsed: 0.028 s
% 2.16/0.61 % (19968)Instructions burned: 79 (million)
% 2.16/0.61 % (19838)Running in auto input_syntax mode. Trying TPTP
% 2.16/0.61 % (19981)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 (2996ds/108Mi)
% 2.16/0.61 % (19838)Running in auto input_syntax mode. Trying TPTP
% 2.16/0.61 % (19983)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 (2996ds/463Mi)
% 2.29/0.63 % (19838)Running in auto input_syntax mode. Trying TPTP
% 2.29/0.63 % (19978)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 (2996ds/58Mi)
% 2.32/0.64 % (19838)Running in auto input_syntax mode. Trying TPTP
% 2.32/0.64 % (19997)lrs+10_1:1_newcnf=on:sas=z3:tgt=ground:tha=off:i=223:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/223Mi)
% 2.32/0.64 % (19838)Running in auto input_syntax mode. Trying TPTP
% 2.32/0.64 % (19996)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 (2996ds/494Mi)
% 2.32/0.64 % (19979)Instruction limit reached!
% 2.32/0.64 % (19979)------------------------------
% 2.32/0.64 % (19979)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.32/0.64 % (19979)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.32/0.64 % (19979)Termination reason: Time limit
% 2.32/0.64 % (19979)Termination phase: Saturation
% 2.32/0.64
% 2.32/0.64 % (19979)Memory used [KB]: 1235
% 2.32/0.64 % (19979)Time elapsed: 0.040 s
% 2.32/0.64 % (19979)Instructions burned: 96 (million)
% 2.32/0.64 % (19981)Instruction limit reached!
% 2.32/0.64 % (19981)------------------------------
% 2.32/0.64 % (19981)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.32/0.64 % (19981)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.32/0.64 % (19981)Termination reason: Time limit
% 2.32/0.64 % (19981)Termination phase: Saturation
% 2.32/0.64
% 2.32/0.64 % (19981)Memory used [KB]: 897
% 2.32/0.64 % (19981)Time elapsed: 0.039 s
% 2.32/0.64 % (19981)Instructions burned: 110 (million)
% 2.32/0.65 % (19978)Instruction limit reached!
% 2.32/0.65 % (19978)------------------------------
% 2.32/0.65 % (19978)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.32/0.65 % (19978)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.32/0.65 % (19978)Termination reason: Time limit
% 2.32/0.65 % (19978)Termination phase: Saturation
% 2.32/0.65
% 2.32/0.65 % (19978)Memory used [KB]: 1717
% 2.32/0.65 % (19978)Time elapsed: 0.027 s
% 2.32/0.65 % (19978)Instructions burned: 58 (million)
% 2.32/0.68 % (19838)Running in auto input_syntax mode. Trying TPTP
% 2.32/0.68 % (20016)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 (2996ds/343Mi)
% 2.32/0.68 % (19838)Running in auto input_syntax mode. Trying TPTP
% 2.32/0.68 % (20017)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)
% 2.32/0.68 % (20017)Refutation not found, incomplete strategy% (20017)------------------------------
% 2.32/0.68 % (20017)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.32/0.68 % (20017)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.32/0.68 % (20017)Termination reason: Refutation not found, incomplete strategy
% 2.32/0.68
% 2.32/0.68 % (20017)Memory used [KB]: 843
% 2.32/0.68 % (20017)Time elapsed: 0.003 s
% 2.32/0.68 % (20017)Instructions burned: 6 (million)
% 2.32/0.68 % (20017)------------------------------
% 2.32/0.68 % (20017)------------------------------
% 2.32/0.69 % (19838)Running in auto input_syntax mode. Trying TPTP
% 2.32/0.69 % (20020)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 (2996ds/150Mi)
% 2.66/0.72 % (19838)Running in auto input_syntax mode. Trying TPTP
% 2.66/0.72 % (20032)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 (2995ds/160Mi)
% 2.66/0.72 % (19997)Instruction limit reached!
% 2.66/0.72 % (19997)------------------------------
% 2.66/0.72 % (19997)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.66/0.72 % (19997)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.66/0.72 % (19997)Termination reason: Time limit
% 2.66/0.72 % (19997)Termination phase: Saturation
% 2.66/0.72
% 2.66/0.72 % (19997)Memory used [KB]: 1353
% 2.66/0.72 % (19997)Time elapsed: 0.079 s
% 2.66/0.72 % (19997)Instructions burned: 224 (million)
% 2.66/0.74 % (20020)Instruction limit reached!
% 2.66/0.74 % (20020)------------------------------
% 2.66/0.74 % (20020)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.66/0.74 % (20020)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.66/0.74 % (20020)Termination reason: Time limit
% 2.66/0.74 % (20020)Termination phase: Saturation
% 2.66/0.74
% 2.66/0.74 % (20020)Memory used [KB]: 1072
% 2.66/0.74 % (20020)Time elapsed: 0.052 s
% 2.66/0.74 % (20020)Instructions burned: 150 (million)
% 2.66/0.75 % (19983)Instruction limit reached!
% 2.66/0.75 % (19983)------------------------------
% 2.66/0.75 % (19983)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.66/0.75 % (19983)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.66/0.75 % (19983)Termination reason: Time limit
% 2.66/0.75 % (19983)Termination phase: Saturation
% 2.66/0.75
% 2.66/0.75 % (19983)Memory used [KB]: 4847
% 2.66/0.75 % (19983)Time elapsed: 0.148 s
% 2.66/0.75 % (19983)Instructions burned: 465 (million)
% 2.66/0.75 % (19838)Running in auto input_syntax mode. Trying TPTP
% 2.66/0.75 % (20052)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 (2995ds/370Mi)
% 2.66/0.77 % (20032)Instruction limit reached!
% 2.66/0.77 % (20032)------------------------------
% 2.66/0.77 % (20032)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.66/0.77 % (20032)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.66/0.77 % (20032)Termination reason: Time limit
% 2.66/0.77 % (20032)Termination phase: Saturation
% 2.66/0.77
% 2.66/0.77 % (20032)Memory used [KB]: 1155
% 2.66/0.77 % (20032)Time elapsed: 0.055 s
% 2.66/0.77 % (20032)Instructions burned: 161 (million)
% 3.11/0.78 % (19838)Running in auto input_syntax mode. Trying TPTP
% 3.11/0.78 % (20064)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 (2995ds/493Mi)
% 3.11/0.78 % (19996)Instruction limit reached!
% 3.11/0.78 % (19996)------------------------------
% 3.11/0.78 % (19996)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.11/0.78 % (19996)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.11/0.78 % (19996)Termination reason: Time limit
% 3.11/0.78 % (19996)Termination phase: Saturation
% 3.11/0.78
% 3.11/0.78 % (19996)Memory used [KB]: 4181
% 3.11/0.78 % (19996)Time elapsed: 0.141 s
% 3.11/0.78 % (19996)Instructions burned: 494 (million)
% 3.11/0.78 % (20016)Refutation not found, non-redundant clauses discarded% (20016)------------------------------
% 3.11/0.78 % (20016)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.11/0.78 % (20016)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.11/0.78 % (20016)Termination reason: Refutation not found, non-redundant clauses discarded
% 3.11/0.78
% 3.11/0.78 % (20016)Memory used [KB]: 2330
% 3.11/0.78 % (20016)Time elapsed: 0.103 s
% 3.11/0.78 % (20016)Instructions burned: 329 (million)
% 3.11/0.78 % (20016)------------------------------
% 3.11/0.78 % (20016)------------------------------
% 3.11/0.79 % (19838)Running in auto input_syntax mode. Trying TPTP
% 3.11/0.79 % (20079)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 (2995ds/81Mi)
% 3.11/0.79 % (20079)Refutation not found, incomplete strategy% (20079)------------------------------
% 3.11/0.79 % (20079)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.11/0.79 % (20079)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.11/0.79 % (20079)Termination reason: Refutation not found, incomplete strategy
% 3.11/0.79
% 3.11/0.79 % (20079)Memory used [KB]: 856
% 3.11/0.79 % (20079)Time elapsed: 0.004 s
% 3.11/0.79 % (20079)Instructions burned: 7 (million)
% 3.11/0.79 % (20079)------------------------------
% 3.11/0.79 % (20079)------------------------------
% 3.11/0.81 % (19838)Running in auto input_syntax mode. Trying TPTP
% 3.11/0.81 % (20089)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 (2995ds/146Mi)
% 3.11/0.82 % (19838)Running in auto input_syntax mode. Trying TPTP
% 3.11/0.82 % (20100)dis+1010_1:1_s2a=on:sp=frequency:to=lpo:i=274:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/274Mi)
% 3.11/0.82 % (19838)Running in auto input_syntax mode. Trying TPTP
% 3.11/0.82 % (20099)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 (2994ds/211Mi)
% 3.11/0.83 % (19838)Running in auto input_syntax mode. Trying TPTP
% 3.11/0.83 % (20105)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 (2994ds/330Mi)
% 3.11/0.85 % (20089)Instruction limit reached!
% 3.11/0.85 % (20089)------------------------------
% 3.11/0.85 % (20089)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.11/0.85 % (20089)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.11/0.85 % (20089)Termination reason: Time limit
% 3.11/0.85 % (20089)Termination phase: Saturation
% 3.11/0.85
% 3.11/0.85 % (20089)Memory used [KB]: 940
% 3.11/0.85 % (20089)Time elapsed: 0.046 s
% 3.11/0.85 % (20089)Instructions burned: 146 (million)
% 3.63/0.87 % (20064)Refutation not found, non-redundant clauses discarded% (20064)------------------------------
% 3.63/0.87 % (20064)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.63/0.87 % (20064)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.63/0.87 % (20064)Termination reason: Refutation not found, non-redundant clauses discarded
% 3.63/0.87
% 3.63/0.87 % (20064)Memory used [KB]: 1995
% 3.63/0.87 % (20064)Time elapsed: 0.100 s
% 3.63/0.87 % (20064)Instructions burned: 281 (million)
% 3.63/0.88 % (20064)------------------------------
% 3.63/0.88 % (20064)------------------------------
% 3.74/0.88 % (20052)Instruction limit reached!
% 3.74/0.88 % (20052)------------------------------
% 3.74/0.88 % (20052)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.74/0.88 % (20052)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.74/0.88 % (20052)Termination reason: Time limit
% 3.74/0.88 % (20052)Termination phase: Saturation
% 3.74/0.88
% 3.74/0.88 % (20052)Memory used [KB]: 1939
% 3.74/0.88 % (20052)Time elapsed: 0.124 s
% 3.74/0.88 % (20052)Instructions burned: 372 (million)
% 3.74/0.88 % (20099)Instruction limit reached!
% 3.74/0.88 % (20099)------------------------------
% 3.74/0.88 % (20099)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.74/0.88 % (20099)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.74/0.88 % (20099)Termination reason: Time limit
% 3.74/0.88 % (20099)Termination phase: Saturation
% 3.74/0.88
% 3.74/0.88 % (20099)Memory used [KB]: 3827
% 3.74/0.88 % (20099)Time elapsed: 0.066 s
% 3.74/0.88 % (20099)Instructions burned: 214 (million)
% 3.74/0.88 % (19838)Running in auto input_syntax mode. Trying TPTP
% 3.74/0.88 % (20131)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 (2994ds/294Mi)
% 3.74/0.89 % (20100)Instruction limit reached!
% 3.74/0.89 % (20100)------------------------------
% 3.74/0.89 % (20100)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.74/0.89 % (20100)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.74/0.89 % (20100)Termination reason: Time limit
% 3.74/0.89 % (20100)Termination phase: Saturation
% 3.74/0.89
% 3.74/0.89 % (20100)Memory used [KB]: 1882
% 3.74/0.89 % (20100)Time elapsed: 0.071 s
% 3.74/0.89 % (20100)Instructions burned: 278 (million)
% 3.74/0.91 % (19838)Running in auto input_syntax mode. Trying TPTP
% 3.74/0.91 % (20142)lrs+30_1:64_flr=on:sp=frequency:to=lpo:i=213:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/213Mi)
% 3.74/0.91 % (19838)Running in auto input_syntax mode. Trying TPTP
% 3.74/0.91 % (20143)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 (2993ds/374Mi)
% 3.74/0.91 % (19838)Running in auto input_syntax mode. Trying TPTP
% 3.74/0.91 % Exception at run slice level
% 3.74/0.91 User error: bad test id 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
% 3.74/0.91 % (20105)Instruction limit reached!
% 3.74/0.91 % (20105)------------------------------
% 3.74/0.91 % (20105)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.74/0.91 % (20105)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.74/0.91 % (20105)Termination reason: Time limit
% 3.74/0.91 % (20105)Termination phase: Saturation
% 3.74/0.91
% 3.74/0.91 % (20105)Memory used [KB]: 1464
% 3.74/0.91 % (20105)Time elapsed: 0.089 s
% 3.74/0.91 % (20105)Instructions burned: 332 (million)
% 3.74/0.92 % (19838)Running in auto input_syntax mode. Trying TPTP
% 3.74/0.92 % (20145)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 (2993ds/488Mi)
% 4.43/0.92 % (20145)Refutation not found, incomplete strategy% (20145)------------------------------
% 4.43/0.92 % (20145)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.43/0.92 % (20145)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.43/0.92 % (20145)Termination reason: Refutation not found, incomplete strategy
% 4.43/0.92
% 4.43/0.92 % (20145)Memory used [KB]: 843
% 4.43/0.92 % (20145)Time elapsed: 0.003 s
% 4.43/0.92 % (20145)Instructions burned: 6 (million)
% 4.43/0.92 % (20145)------------------------------
% 4.43/0.92 % (20145)------------------------------
% 4.48/0.94 % (19838)Running in auto input_syntax mode. Trying TPTP
% 4.48/0.94 % (20146)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 (2993ds/230Mi)
% 4.48/0.95 % (19838)Running in auto input_syntax mode. Trying TPTP
% 4.48/0.95 % (20147)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 (2993ds/360Mi)
% 4.48/0.95 % (19838)Running in auto input_syntax mode. Trying TPTP
% 4.48/0.95 % (20150)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 (2993ds/382Mi)
% 4.48/0.98 % (20142)Instruction limit reached!
% 4.48/0.98 % (20142)------------------------------
% 4.48/0.98 % (20142)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.48/0.98 % (20142)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.48/0.98 % (20142)Termination reason: Time limit
% 4.48/0.98 % (20142)Termination phase: Saturation
% 4.48/0.98
% 4.48/0.98 % (20142)Memory used [KB]: 1492
% 4.48/0.98 % (20142)Time elapsed: 0.070 s
% 4.48/0.98 % (20142)Instructions burned: 215 (million)
% 4.48/0.98 % (20131)Instruction limit reached!
% 4.48/0.98 % (20131)------------------------------
% 4.48/0.98 % (20131)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.48/0.98 % (20131)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.48/0.98 % (20131)Termination reason: Time limit
% 4.48/0.98 % (20131)Termination phase: Saturation
% 4.48/0.98
% 4.48/0.98 % (20131)Memory used [KB]: 1649
% 4.48/0.98 % (20131)Time elapsed: 0.097 s
% 4.48/0.98 % (20131)Instructions burned: 294 (million)
% 4.48/1.01 % (19838)Running in auto input_syntax mode. Trying TPTP
% 4.48/1.01 % (20168)dis+10_1:1_sgt=16:sos=on:spb=goal:ss=axioms:i=1006:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/1006Mi)
% 4.48/1.02 % (19838)Running in auto input_syntax mode. Trying TPTP
% 4.48/1.02 % (20166)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 (2993ds/256Mi)
% 4.81/1.02 % (20168)Refutation not found, incomplete strategy% (20168)------------------------------
% 4.81/1.02 % (20168)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.81/1.02 % (20168)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.81/1.02 % (20168)Termination reason: Refutation not found, incomplete strategy
% 4.81/1.02
% 4.81/1.02 % (20168)Memory used [KB]: 857
% 4.81/1.02 % (20168)Time elapsed: 0.004 s
% 4.81/1.02 % (20168)Instructions burned: 7 (million)
% 4.81/1.02 % (20168)------------------------------
% 4.81/1.02 % (20168)------------------------------
% 4.81/1.02 % (20146)Instruction limit reached!
% 4.81/1.02 % (20146)------------------------------
% 4.81/1.02 % (20146)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.81/1.02 % (20146)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.81/1.02 % (20146)Termination reason: Time limit
% 4.81/1.02 % (20146)Termination phase: Saturation
% 4.81/1.02
% 4.81/1.02 % (20146)Memory used [KB]: 1765
% 4.81/1.02 % (20146)Time elapsed: 0.080 s
% 4.81/1.02 % (20146)Instructions burned: 230 (million)
% 4.81/1.03 % (20143)First to succeed.
% 4.81/1.03 % (20143)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19838"
% 4.81/1.03 % (19838)Running in auto input_syntax mode. Trying TPTP
% 4.81/1.03 % (20143)Refutation found. Thanks to Tanya!
% 4.81/1.03 % SZS status Theorem for theBenchmark
% 4.81/1.03 % SZS output start Proof for theBenchmark
% See solution above
% 4.81/1.04 % (20143)------------------------------
% 4.81/1.04 % (20143)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.81/1.04 % (20143)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.81/1.04 % (20143)Termination reason: Refutation
% 4.81/1.04
% 4.81/1.04 % (20143)Memory used [KB]: 1954
% 4.81/1.04 % (20143)Time elapsed: 0.123 s
% 4.81/1.04 % (20143)Instructions burned: 385 (million)
% 4.81/1.04 % (20143)------------------------------
% 4.81/1.04 % (20143)------------------------------
% 4.81/1.04 % (19838)Success in time 0.754 s
%------------------------------------------------------------------------------