TSTP Solution File: NUM410+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM410+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 14:21:59 EDT 2024
% Result : Theorem 0.12s 0.31s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 184
% Syntax : Number of formulae : 538 ( 139 unt; 0 def)
% Number of atoms : 1389 ( 42 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 1413 ( 562 ~; 523 |; 158 &)
% ( 132 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 141 ( 139 usr; 126 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 16 con; 0-1 aty)
% Number of variables : 343 ( 303 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f984,plain,
$false,
inference(avatar_sat_refutation,[],[f215,f220,f225,f230,f235,f240,f245,f250,f255,f260,f265,f270,f275,f280,f285,f290,f295,f300,f305,f310,f315,f320,f325,f330,f335,f340,f345,f350,f355,f360,f365,f370,f375,f380,f385,f390,f395,f400,f405,f410,f415,f420,f425,f430,f434,f438,f442,f446,f450,f454,f458,f462,f466,f470,f480,f514,f518,f522,f526,f530,f534,f538,f542,f546,f566,f580,f584,f588,f597,f601,f605,f609,f613,f621,f636,f642,f646,f650,f662,f666,f672,f676,f684,f690,f695,f700,f706,f712,f717,f723,f729,f734,f740,f749,f754,f759,f764,f768,f772,f776,f797,f801,f805,f809,f813,f817,f821,f825,f829,f833,f851,f855,f859,f888,f894,f898,f902,f906,f910,f950,f954,f959,f963,f971,f975,f983]) ).
fof(f983,plain,
( ~ spl17_1
| ~ spl17_2
| ~ spl17_79
| spl17_4
| ~ spl17_125 ),
inference(avatar_split_clause,[],[f979,f973,f227,f659,f217,f212]) ).
fof(f212,plain,
( spl17_1
<=> relation(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).
fof(f217,plain,
( spl17_2
<=> function(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).
fof(f659,plain,
( spl17_79
<=> transfinite_sequence(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_79])]) ).
fof(f227,plain,
( spl17_4
<=> transfinite_sequence_of(sK0,relation_rng(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_4])]) ).
fof(f973,plain,
( spl17_125
<=> ! [X0] :
( transfinite_sequence_of(X0,relation_rng(X0))
| ~ transfinite_sequence(X0)
| ~ function(X0)
| ~ relation(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_125])]) ).
fof(f979,plain,
( ~ transfinite_sequence(sK0)
| ~ function(sK0)
| ~ relation(sK0)
| spl17_4
| ~ spl17_125 ),
inference(resolution,[],[f974,f229]) ).
fof(f229,plain,
( ~ transfinite_sequence_of(sK0,relation_rng(sK0))
| spl17_4 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f974,plain,
( ! [X0] :
( transfinite_sequence_of(X0,relation_rng(X0))
| ~ transfinite_sequence(X0)
| ~ function(X0)
| ~ relation(X0) )
| ~ spl17_125 ),
inference(avatar_component_clause,[],[f973]) ).
fof(f975,plain,
( spl17_125
| ~ spl17_45
| ~ spl17_82 ),
inference(avatar_split_clause,[],[f678,f674,f432,f973]) ).
fof(f432,plain,
( spl17_45
<=> ! [X0] : subset(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_45])]) ).
fof(f674,plain,
( spl17_82
<=> ! [X0,X1] :
( transfinite_sequence_of(X1,X0)
| ~ subset(relation_rng(X1),X0)
| ~ transfinite_sequence(X1)
| ~ function(X1)
| ~ relation(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_82])]) ).
fof(f678,plain,
( ! [X0] :
( transfinite_sequence_of(X0,relation_rng(X0))
| ~ transfinite_sequence(X0)
| ~ function(X0)
| ~ relation(X0) )
| ~ spl17_45
| ~ spl17_82 ),
inference(resolution,[],[f675,f433]) ).
fof(f433,plain,
( ! [X0] : subset(X0,X0)
| ~ spl17_45 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f675,plain,
( ! [X0,X1] :
( ~ subset(relation_rng(X1),X0)
| transfinite_sequence_of(X1,X0)
| ~ transfinite_sequence(X1)
| ~ function(X1)
| ~ relation(X1) )
| ~ spl17_82 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f971,plain,
( spl17_124
| ~ spl17_72
| ~ spl17_75 ),
inference(avatar_split_clause,[],[f638,f634,f607,f969]) ).
fof(f969,plain,
( spl17_124
<=> ! [X0,X1] :
( empty(powerset(X0))
| in(X1,powerset(X0))
| ~ subset(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_124])]) ).
fof(f607,plain,
( spl17_72
<=> ! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_72])]) ).
fof(f634,plain,
( spl17_75
<=> ! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_75])]) ).
fof(f638,plain,
( ! [X0,X1] :
( empty(powerset(X0))
| in(X1,powerset(X0))
| ~ subset(X1,X0) )
| ~ spl17_72
| ~ spl17_75 ),
inference(resolution,[],[f635,f608]) ).
fof(f608,plain,
( ! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) )
| ~ spl17_72 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f635,plain,
( ! [X0,X1] :
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) )
| ~ spl17_75 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f963,plain,
( spl17_123
| ~ spl17_72
| ~ spl17_80 ),
inference(avatar_split_clause,[],[f668,f664,f607,f961]) ).
fof(f961,plain,
( spl17_123
<=> ! [X2,X0,X1] :
( element(X0,X1)
| ~ in(X0,X2)
| ~ subset(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_123])]) ).
fof(f664,plain,
( spl17_80
<=> ! [X2,X0,X1] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_80])]) ).
fof(f668,plain,
( ! [X2,X0,X1] :
( element(X0,X1)
| ~ in(X0,X2)
| ~ subset(X2,X1) )
| ~ spl17_72
| ~ spl17_80 ),
inference(resolution,[],[f665,f608]) ).
fof(f665,plain,
( ! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| element(X0,X2)
| ~ in(X0,X1) )
| ~ spl17_80 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f959,plain,
( spl17_122
| ~ spl17_5
| ~ spl17_94
| ~ spl17_112 ),
inference(avatar_split_clause,[],[f878,f853,f746,f232,f956]) ).
fof(f956,plain,
( spl17_122
<=> sK4 = relation_rng(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_122])]) ).
fof(f232,plain,
( spl17_5
<=> empty(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).
fof(f746,plain,
( spl17_94
<=> empty_set = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_94])]) ).
fof(f853,plain,
( spl17_112
<=> ! [X0] :
( relation_rng(X0) = sK4
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_112])]) ).
fof(f878,plain,
( sK4 = relation_rng(sK4)
| ~ spl17_5
| ~ spl17_94
| ~ spl17_112 ),
inference(forward_demodulation,[],[f873,f748]) ).
fof(f748,plain,
( empty_set = sK4
| ~ spl17_94 ),
inference(avatar_component_clause,[],[f746]) ).
fof(f873,plain,
( sK4 = relation_rng(empty_set)
| ~ spl17_5
| ~ spl17_112 ),
inference(resolution,[],[f854,f234]) ).
fof(f234,plain,
( empty(empty_set)
| ~ spl17_5 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f854,plain,
( ! [X0] :
( ~ empty(X0)
| relation_rng(X0) = sK4 )
| ~ spl17_112 ),
inference(avatar_component_clause,[],[f853]) ).
fof(f954,plain,
( spl17_121
| ~ spl17_46
| ~ spl17_76 ),
inference(avatar_split_clause,[],[f652,f640,f436,f952]) ).
fof(f952,plain,
( spl17_121
<=> ! [X0] :
( ~ transfinite_sequence(X0)
| ~ function(X0)
| ~ relation(X0)
| epsilon_transitive(relation_dom(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_121])]) ).
fof(f436,plain,
( spl17_46
<=> ! [X0] :
( epsilon_transitive(X0)
| ~ ordinal(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_46])]) ).
fof(f640,plain,
( spl17_76
<=> ! [X0] :
( ordinal(relation_dom(X0))
| ~ transfinite_sequence(X0)
| ~ function(X0)
| ~ relation(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_76])]) ).
fof(f652,plain,
( ! [X0] :
( ~ transfinite_sequence(X0)
| ~ function(X0)
| ~ relation(X0)
| epsilon_transitive(relation_dom(X0)) )
| ~ spl17_46
| ~ spl17_76 ),
inference(resolution,[],[f641,f437]) ).
fof(f437,plain,
( ! [X0] :
( ~ ordinal(X0)
| epsilon_transitive(X0) )
| ~ spl17_46 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f641,plain,
( ! [X0] :
( ordinal(relation_dom(X0))
| ~ transfinite_sequence(X0)
| ~ function(X0)
| ~ relation(X0) )
| ~ spl17_76 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f950,plain,
( spl17_120
| ~ spl17_47
| ~ spl17_76 ),
inference(avatar_split_clause,[],[f651,f640,f440,f948]) ).
fof(f948,plain,
( spl17_120
<=> ! [X0] :
( ~ transfinite_sequence(X0)
| ~ function(X0)
| ~ relation(X0)
| epsilon_connected(relation_dom(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_120])]) ).
fof(f440,plain,
( spl17_47
<=> ! [X0] :
( epsilon_connected(X0)
| ~ ordinal(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_47])]) ).
fof(f651,plain,
( ! [X0] :
( ~ transfinite_sequence(X0)
| ~ function(X0)
| ~ relation(X0)
| epsilon_connected(relation_dom(X0)) )
| ~ spl17_47
| ~ spl17_76 ),
inference(resolution,[],[f641,f441]) ).
fof(f441,plain,
( ! [X0] :
( ~ ordinal(X0)
| epsilon_connected(X0) )
| ~ spl17_47 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f910,plain,
( spl17_119
| ~ spl17_54
| ~ spl17_80 ),
inference(avatar_split_clause,[],[f667,f664,f468,f908]) ).
fof(f908,plain,
( spl17_119
<=> ! [X0,X1] :
( element(X0,X1)
| ~ in(X0,sK2(powerset(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_119])]) ).
fof(f468,plain,
( spl17_54
<=> ! [X0] : element(sK2(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_54])]) ).
fof(f667,plain,
( ! [X0,X1] :
( element(X0,X1)
| ~ in(X0,sK2(powerset(X1))) )
| ~ spl17_54
| ~ spl17_80 ),
inference(resolution,[],[f665,f469]) ).
fof(f469,plain,
( ! [X0] : element(sK2(X0),X0)
| ~ spl17_54 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f906,plain,
( spl17_118
| ~ spl17_72
| ~ spl17_78 ),
inference(avatar_split_clause,[],[f657,f648,f607,f904]) ).
fof(f904,plain,
( spl17_118
<=> ! [X2,X0,X1] :
( ~ empty(X0)
| ~ in(X1,X2)
| ~ subset(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_118])]) ).
fof(f648,plain,
( spl17_78
<=> ! [X2,X0,X1] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_78])]) ).
fof(f657,plain,
( ! [X2,X0,X1] :
( ~ empty(X0)
| ~ in(X1,X2)
| ~ subset(X2,X0) )
| ~ spl17_72
| ~ spl17_78 ),
inference(resolution,[],[f649,f608]) ).
fof(f649,plain,
( ! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ empty(X2)
| ~ in(X0,X1) )
| ~ spl17_78 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f902,plain,
( spl17_117
| ~ spl17_59
| ~ spl17_73 ),
inference(avatar_split_clause,[],[f624,f611,f524,f900]) ).
fof(f900,plain,
( spl17_117
<=> ! [X0,X1] :
( relation_rng(X1) = X0
| ~ empty(X0)
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_117])]) ).
fof(f524,plain,
( spl17_59
<=> ! [X0] :
( empty(relation_rng(X0))
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_59])]) ).
fof(f611,plain,
( spl17_73
<=> ! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_73])]) ).
fof(f624,plain,
( ! [X0,X1] :
( relation_rng(X1) = X0
| ~ empty(X0)
| ~ empty(X1) )
| ~ spl17_59
| ~ spl17_73 ),
inference(resolution,[],[f612,f525]) ).
fof(f525,plain,
( ! [X0] :
( empty(relation_rng(X0))
| ~ empty(X0) )
| ~ spl17_59 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f612,plain,
( ! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) )
| ~ spl17_73 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f898,plain,
( spl17_116
| ~ spl17_57
| ~ spl17_73 ),
inference(avatar_split_clause,[],[f623,f611,f516,f896]) ).
fof(f896,plain,
( spl17_116
<=> ! [X0,X1] :
( relation_dom(X1) = X0
| ~ empty(X0)
| ~ empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_116])]) ).
fof(f516,plain,
( spl17_57
<=> ! [X0] :
( empty(relation_dom(X0))
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_57])]) ).
fof(f623,plain,
( ! [X0,X1] :
( relation_dom(X1) = X0
| ~ empty(X0)
| ~ empty(X1) )
| ~ spl17_57
| ~ spl17_73 ),
inference(resolution,[],[f612,f517]) ).
fof(f517,plain,
( ! [X0] :
( empty(relation_dom(X0))
| ~ empty(X0) )
| ~ spl17_57 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f894,plain,
( spl17_115
| ~ spl17_5
| ~ spl17_94
| ~ spl17_111 ),
inference(avatar_split_clause,[],[f867,f849,f746,f232,f891]) ).
fof(f891,plain,
( spl17_115
<=> sK4 = relation_dom(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_115])]) ).
fof(f849,plain,
( spl17_111
<=> ! [X0] :
( relation_dom(X0) = sK4
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_111])]) ).
fof(f867,plain,
( sK4 = relation_dom(sK4)
| ~ spl17_5
| ~ spl17_94
| ~ spl17_111 ),
inference(forward_demodulation,[],[f862,f748]) ).
fof(f862,plain,
( sK4 = relation_dom(empty_set)
| ~ spl17_5
| ~ spl17_111 ),
inference(resolution,[],[f850,f234]) ).
fof(f850,plain,
( ! [X0] :
( ~ empty(X0)
| relation_dom(X0) = sK4 )
| ~ spl17_111 ),
inference(avatar_component_clause,[],[f849]) ).
fof(f888,plain,
( spl17_114
| ~ spl17_54
| ~ spl17_78 ),
inference(avatar_split_clause,[],[f656,f648,f468,f886]) ).
fof(f886,plain,
( spl17_114
<=> ! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK2(powerset(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_114])]) ).
fof(f656,plain,
( ! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,sK2(powerset(X0))) )
| ~ spl17_54
| ~ spl17_78 ),
inference(resolution,[],[f649,f469]) ).
fof(f859,plain,
( spl17_113
| ~ spl17_54
| ~ spl17_75 ),
inference(avatar_split_clause,[],[f637,f634,f468,f857]) ).
fof(f857,plain,
( spl17_113
<=> ! [X0] :
( empty(X0)
| in(sK2(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_113])]) ).
fof(f637,plain,
( ! [X0] :
( empty(X0)
| in(sK2(X0),X0) )
| ~ spl17_54
| ~ spl17_75 ),
inference(resolution,[],[f635,f469]) ).
fof(f855,plain,
( spl17_112
| ~ spl17_12
| ~ spl17_56
| ~ spl17_59 ),
inference(avatar_split_clause,[],[f573,f524,f512,f267,f853]) ).
fof(f267,plain,
( spl17_12
<=> empty(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_12])]) ).
fof(f512,plain,
( spl17_56
<=> ! [X0] :
( empty_set = X0
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_56])]) ).
fof(f573,plain,
( ! [X0] :
( relation_rng(X0) = sK4
| ~ empty(X0) )
| ~ spl17_12
| ~ spl17_56
| ~ spl17_59 ),
inference(forward_demodulation,[],[f567,f548]) ).
fof(f548,plain,
( empty_set = sK4
| ~ spl17_12
| ~ spl17_56 ),
inference(resolution,[],[f513,f269]) ).
fof(f269,plain,
( empty(sK4)
| ~ spl17_12 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f513,plain,
( ! [X0] :
( ~ empty(X0)
| empty_set = X0 )
| ~ spl17_56 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f567,plain,
( ! [X0] :
( ~ empty(X0)
| empty_set = relation_rng(X0) )
| ~ spl17_56
| ~ spl17_59 ),
inference(resolution,[],[f525,f513]) ).
fof(f851,plain,
( spl17_111
| ~ spl17_12
| ~ spl17_56
| ~ spl17_57 ),
inference(avatar_split_clause,[],[f561,f516,f512,f267,f849]) ).
fof(f561,plain,
( ! [X0] :
( relation_dom(X0) = sK4
| ~ empty(X0) )
| ~ spl17_12
| ~ spl17_56
| ~ spl17_57 ),
inference(forward_demodulation,[],[f555,f548]) ).
fof(f555,plain,
( ! [X0] :
( ~ empty(X0)
| relation_dom(X0) = empty_set )
| ~ spl17_56
| ~ spl17_57 ),
inference(resolution,[],[f517,f513]) ).
fof(f833,plain,
( spl17_110
| ~ spl17_12
| ~ spl17_73 ),
inference(avatar_split_clause,[],[f626,f611,f267,f831]) ).
fof(f831,plain,
( spl17_110
<=> ! [X0] :
( sK4 = X0
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_110])]) ).
fof(f626,plain,
( ! [X0] :
( sK4 = X0
| ~ empty(X0) )
| ~ spl17_12
| ~ spl17_73 ),
inference(resolution,[],[f612,f269]) ).
fof(f829,plain,
( spl17_109
| ~ spl17_54
| ~ spl17_71 ),
inference(avatar_split_clause,[],[f616,f603,f468,f827]) ).
fof(f827,plain,
( spl17_109
<=> ! [X0] : subset(sK2(powerset(X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_109])]) ).
fof(f603,plain,
( spl17_71
<=> ! [X0,X1] :
( subset(X0,X1)
| ~ element(X0,powerset(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_71])]) ).
fof(f616,plain,
( ! [X0] : subset(sK2(powerset(X0)),X0)
| ~ spl17_54
| ~ spl17_71 ),
inference(resolution,[],[f604,f469]) ).
fof(f604,plain,
( ! [X0,X1] :
( ~ element(X0,powerset(X1))
| subset(X0,X1) )
| ~ spl17_71 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f825,plain,
( spl17_108
| ~ spl17_48
| ~ spl17_59 ),
inference(avatar_split_clause,[],[f572,f524,f444,f823]) ).
fof(f823,plain,
( spl17_108
<=> ! [X0] :
( ~ empty(X0)
| function(relation_rng(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_108])]) ).
fof(f444,plain,
( spl17_48
<=> ! [X0] :
( function(X0)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_48])]) ).
fof(f572,plain,
( ! [X0] :
( ~ empty(X0)
| function(relation_rng(X0)) )
| ~ spl17_48
| ~ spl17_59 ),
inference(resolution,[],[f525,f445]) ).
fof(f445,plain,
( ! [X0] :
( ~ empty(X0)
| function(X0) )
| ~ spl17_48 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f821,plain,
( spl17_107
| ~ spl17_50
| ~ spl17_59 ),
inference(avatar_split_clause,[],[f570,f524,f452,f819]) ).
fof(f819,plain,
( spl17_107
<=> ! [X0] :
( ~ empty(X0)
| epsilon_transitive(relation_rng(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_107])]) ).
fof(f452,plain,
( spl17_50
<=> ! [X0] :
( epsilon_transitive(X0)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_50])]) ).
fof(f570,plain,
( ! [X0] :
( ~ empty(X0)
| epsilon_transitive(relation_rng(X0)) )
| ~ spl17_50
| ~ spl17_59 ),
inference(resolution,[],[f525,f453]) ).
fof(f453,plain,
( ! [X0] :
( ~ empty(X0)
| epsilon_transitive(X0) )
| ~ spl17_50 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f817,plain,
( spl17_106
| ~ spl17_51
| ~ spl17_59 ),
inference(avatar_split_clause,[],[f569,f524,f456,f815]) ).
fof(f815,plain,
( spl17_106
<=> ! [X0] :
( ~ empty(X0)
| epsilon_connected(relation_rng(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_106])]) ).
fof(f456,plain,
( spl17_51
<=> ! [X0] :
( epsilon_connected(X0)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_51])]) ).
fof(f569,plain,
( ! [X0] :
( ~ empty(X0)
| epsilon_connected(relation_rng(X0)) )
| ~ spl17_51
| ~ spl17_59 ),
inference(resolution,[],[f525,f457]) ).
fof(f457,plain,
( ! [X0] :
( ~ empty(X0)
| epsilon_connected(X0) )
| ~ spl17_51 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f813,plain,
( spl17_105
| ~ spl17_52
| ~ spl17_59 ),
inference(avatar_split_clause,[],[f568,f524,f460,f811]) ).
fof(f811,plain,
( spl17_105
<=> ! [X0] :
( ~ empty(X0)
| ordinal(relation_rng(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_105])]) ).
fof(f460,plain,
( spl17_52
<=> ! [X0] :
( ordinal(X0)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_52])]) ).
fof(f568,plain,
( ! [X0] :
( ~ empty(X0)
| ordinal(relation_rng(X0)) )
| ~ spl17_52
| ~ spl17_59 ),
inference(resolution,[],[f525,f461]) ).
fof(f461,plain,
( ! [X0] :
( ~ empty(X0)
| ordinal(X0) )
| ~ spl17_52 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f809,plain,
( spl17_104
| ~ spl17_48
| ~ spl17_57 ),
inference(avatar_split_clause,[],[f560,f516,f444,f807]) ).
fof(f807,plain,
( spl17_104
<=> ! [X0] :
( ~ empty(X0)
| function(relation_dom(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_104])]) ).
fof(f560,plain,
( ! [X0] :
( ~ empty(X0)
| function(relation_dom(X0)) )
| ~ spl17_48
| ~ spl17_57 ),
inference(resolution,[],[f517,f445]) ).
fof(f805,plain,
( spl17_103
| ~ spl17_50
| ~ spl17_57 ),
inference(avatar_split_clause,[],[f558,f516,f452,f803]) ).
fof(f803,plain,
( spl17_103
<=> ! [X0] :
( ~ empty(X0)
| epsilon_transitive(relation_dom(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_103])]) ).
fof(f558,plain,
( ! [X0] :
( ~ empty(X0)
| epsilon_transitive(relation_dom(X0)) )
| ~ spl17_50
| ~ spl17_57 ),
inference(resolution,[],[f517,f453]) ).
fof(f801,plain,
( spl17_102
| ~ spl17_51
| ~ spl17_57 ),
inference(avatar_split_clause,[],[f557,f516,f456,f799]) ).
fof(f799,plain,
( spl17_102
<=> ! [X0] :
( ~ empty(X0)
| epsilon_connected(relation_dom(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_102])]) ).
fof(f557,plain,
( ! [X0] :
( ~ empty(X0)
| epsilon_connected(relation_dom(X0)) )
| ~ spl17_51
| ~ spl17_57 ),
inference(resolution,[],[f517,f457]) ).
fof(f797,plain,
( spl17_101
| ~ spl17_52
| ~ spl17_57 ),
inference(avatar_split_clause,[],[f556,f516,f460,f795]) ).
fof(f795,plain,
( spl17_101
<=> ! [X0] :
( ~ empty(X0)
| ordinal(relation_dom(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_101])]) ).
fof(f556,plain,
( ! [X0] :
( ~ empty(X0)
| ordinal(relation_dom(X0)) )
| ~ spl17_52
| ~ spl17_57 ),
inference(resolution,[],[f517,f461]) ).
fof(f776,plain,
( spl17_100
| ~ spl17_53
| ~ spl17_63 ),
inference(avatar_split_clause,[],[f576,f540,f464,f774]) ).
fof(f774,plain,
( spl17_100
<=> ! [X0] : transfinite_sequence(sK1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_100])]) ).
fof(f464,plain,
( spl17_53
<=> ! [X0] : transfinite_sequence_of(sK1(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_53])]) ).
fof(f540,plain,
( spl17_63
<=> ! [X0,X1] :
( transfinite_sequence(X1)
| ~ transfinite_sequence_of(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_63])]) ).
fof(f576,plain,
( ! [X0] : transfinite_sequence(sK1(X0))
| ~ spl17_53
| ~ spl17_63 ),
inference(resolution,[],[f541,f465]) ).
fof(f465,plain,
( ! [X0] : transfinite_sequence_of(sK1(X0),X0)
| ~ spl17_53 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f541,plain,
( ! [X0,X1] :
( ~ transfinite_sequence_of(X1,X0)
| transfinite_sequence(X1) )
| ~ spl17_63 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f772,plain,
( spl17_99
| ~ spl17_53
| ~ spl17_62 ),
inference(avatar_split_clause,[],[f575,f536,f464,f770]) ).
fof(f770,plain,
( spl17_99
<=> ! [X0] : function(sK1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_99])]) ).
fof(f536,plain,
( spl17_62
<=> ! [X0,X1] :
( function(X1)
| ~ transfinite_sequence_of(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_62])]) ).
fof(f575,plain,
( ! [X0] : function(sK1(X0))
| ~ spl17_53
| ~ spl17_62 ),
inference(resolution,[],[f537,f465]) ).
fof(f537,plain,
( ! [X0,X1] :
( ~ transfinite_sequence_of(X1,X0)
| function(X1) )
| ~ spl17_62 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f768,plain,
( spl17_98
| ~ spl17_53
| ~ spl17_61 ),
inference(avatar_split_clause,[],[f574,f532,f464,f766]) ).
fof(f766,plain,
( spl17_98
<=> ! [X0] : relation(sK1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_98])]) ).
fof(f532,plain,
( spl17_61
<=> ! [X0,X1] :
( relation(X1)
| ~ transfinite_sequence_of(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_61])]) ).
fof(f574,plain,
( ! [X0] : relation(sK1(X0))
| ~ spl17_53
| ~ spl17_61 ),
inference(resolution,[],[f533,f465]) ).
fof(f533,plain,
( ! [X0,X1] :
( ~ transfinite_sequence_of(X1,X0)
| relation(X1) )
| ~ spl17_61 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f764,plain,
( spl17_97
| ~ spl17_12
| ~ spl17_43
| ~ spl17_56 ),
inference(avatar_split_clause,[],[f554,f512,f422,f267,f761]) ).
fof(f761,plain,
( spl17_97
<=> sK4 = sK16 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_97])]) ).
fof(f422,plain,
( spl17_43
<=> empty(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_43])]) ).
fof(f554,plain,
( sK4 = sK16
| ~ spl17_12
| ~ spl17_43
| ~ spl17_56 ),
inference(forward_demodulation,[],[f551,f548]) ).
fof(f551,plain,
( empty_set = sK16
| ~ spl17_43
| ~ spl17_56 ),
inference(resolution,[],[f513,f424]) ).
fof(f424,plain,
( empty(sK16)
| ~ spl17_43 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f759,plain,
( spl17_96
| ~ spl17_12
| ~ spl17_38
| ~ spl17_56 ),
inference(avatar_split_clause,[],[f553,f512,f397,f267,f756]) ).
fof(f756,plain,
( spl17_96
<=> sK4 = sK15 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_96])]) ).
fof(f397,plain,
( spl17_38
<=> empty(sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_38])]) ).
fof(f553,plain,
( sK4 = sK15
| ~ spl17_12
| ~ spl17_38
| ~ spl17_56 ),
inference(forward_demodulation,[],[f550,f548]) ).
fof(f550,plain,
( empty_set = sK15
| ~ spl17_38
| ~ spl17_56 ),
inference(resolution,[],[f513,f399]) ).
fof(f399,plain,
( empty(sK15)
| ~ spl17_38 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f754,plain,
( spl17_95
| ~ spl17_12
| ~ spl17_22
| ~ spl17_56 ),
inference(avatar_split_clause,[],[f552,f512,f317,f267,f751]) ).
fof(f751,plain,
( spl17_95
<=> sK4 = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_95])]) ).
fof(f317,plain,
( spl17_22
<=> empty(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_22])]) ).
fof(f552,plain,
( sK4 = sK8
| ~ spl17_12
| ~ spl17_22
| ~ spl17_56 ),
inference(forward_demodulation,[],[f549,f548]) ).
fof(f549,plain,
( empty_set = sK8
| ~ spl17_22
| ~ spl17_56 ),
inference(resolution,[],[f513,f319]) ).
fof(f319,plain,
( empty(sK8)
| ~ spl17_22 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f749,plain,
( spl17_94
| ~ spl17_12
| ~ spl17_56 ),
inference(avatar_split_clause,[],[f548,f512,f267,f746]) ).
fof(f740,plain,
( spl17_93
| ~ spl17_43
| ~ spl17_52 ),
inference(avatar_split_clause,[],[f510,f460,f422,f737]) ).
fof(f737,plain,
( spl17_93
<=> ordinal(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_93])]) ).
fof(f510,plain,
( ordinal(sK16)
| ~ spl17_43
| ~ spl17_52 ),
inference(resolution,[],[f461,f424]) ).
fof(f734,plain,
( spl17_92
| ~ spl17_22
| ~ spl17_52 ),
inference(avatar_split_clause,[],[f508,f460,f317,f731]) ).
fof(f731,plain,
( spl17_92
<=> ordinal(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_92])]) ).
fof(f508,plain,
( ordinal(sK8)
| ~ spl17_22
| ~ spl17_52 ),
inference(resolution,[],[f461,f319]) ).
fof(f729,plain,
( spl17_91
| ~ spl17_12
| ~ spl17_52 ),
inference(avatar_split_clause,[],[f507,f460,f267,f726]) ).
fof(f726,plain,
( spl17_91
<=> ordinal(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_91])]) ).
fof(f507,plain,
( ordinal(sK4)
| ~ spl17_12
| ~ spl17_52 ),
inference(resolution,[],[f461,f269]) ).
fof(f723,plain,
( spl17_90
| ~ spl17_43
| ~ spl17_51 ),
inference(avatar_split_clause,[],[f505,f456,f422,f720]) ).
fof(f720,plain,
( spl17_90
<=> epsilon_connected(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_90])]) ).
fof(f505,plain,
( epsilon_connected(sK16)
| ~ spl17_43
| ~ spl17_51 ),
inference(resolution,[],[f457,f424]) ).
fof(f717,plain,
( spl17_89
| ~ spl17_22
| ~ spl17_51 ),
inference(avatar_split_clause,[],[f503,f456,f317,f714]) ).
fof(f714,plain,
( spl17_89
<=> epsilon_connected(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_89])]) ).
fof(f503,plain,
( epsilon_connected(sK8)
| ~ spl17_22
| ~ spl17_51 ),
inference(resolution,[],[f457,f319]) ).
fof(f712,plain,
( spl17_88
| ~ spl17_12
| ~ spl17_51 ),
inference(avatar_split_clause,[],[f502,f456,f267,f709]) ).
fof(f709,plain,
( spl17_88
<=> epsilon_connected(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_88])]) ).
fof(f502,plain,
( epsilon_connected(sK4)
| ~ spl17_12
| ~ spl17_51 ),
inference(resolution,[],[f457,f269]) ).
fof(f706,plain,
( spl17_87
| ~ spl17_43
| ~ spl17_50 ),
inference(avatar_split_clause,[],[f500,f452,f422,f703]) ).
fof(f703,plain,
( spl17_87
<=> epsilon_transitive(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_87])]) ).
fof(f500,plain,
( epsilon_transitive(sK16)
| ~ spl17_43
| ~ spl17_50 ),
inference(resolution,[],[f453,f424]) ).
fof(f700,plain,
( spl17_86
| ~ spl17_22
| ~ spl17_50 ),
inference(avatar_split_clause,[],[f498,f452,f317,f697]) ).
fof(f697,plain,
( spl17_86
<=> epsilon_transitive(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_86])]) ).
fof(f498,plain,
( epsilon_transitive(sK8)
| ~ spl17_22
| ~ spl17_50 ),
inference(resolution,[],[f453,f319]) ).
fof(f695,plain,
( spl17_85
| ~ spl17_12
| ~ spl17_50 ),
inference(avatar_split_clause,[],[f497,f452,f267,f692]) ).
fof(f692,plain,
( spl17_85
<=> epsilon_transitive(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_85])]) ).
fof(f497,plain,
( epsilon_transitive(sK4)
| ~ spl17_12
| ~ spl17_50 ),
inference(resolution,[],[f453,f269]) ).
fof(f690,plain,
( spl17_84
| ~ spl17_12
| ~ spl17_49 ),
inference(avatar_split_clause,[],[f492,f448,f267,f687]) ).
fof(f687,plain,
( spl17_84
<=> relation(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_84])]) ).
fof(f448,plain,
( spl17_49
<=> ! [X0] :
( relation(X0)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_49])]) ).
fof(f492,plain,
( relation(sK4)
| ~ spl17_12
| ~ spl17_49 ),
inference(resolution,[],[f449,f269]) ).
fof(f449,plain,
( ! [X0] :
( ~ empty(X0)
| relation(X0) )
| ~ spl17_49 ),
inference(avatar_component_clause,[],[f448]) ).
fof(f684,plain,
( spl17_83
| ~ spl17_22
| ~ spl17_48 ),
inference(avatar_split_clause,[],[f488,f444,f317,f681]) ).
fof(f681,plain,
( spl17_83
<=> function(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_83])]) ).
fof(f488,plain,
( function(sK8)
| ~ spl17_22
| ~ spl17_48 ),
inference(resolution,[],[f445,f319]) ).
fof(f676,plain,
spl17_82,
inference(avatar_split_clause,[],[f170,f674]) ).
fof(f170,plain,
! [X0,X1] :
( transfinite_sequence_of(X1,X0)
| ~ subset(relation_rng(X1),X0)
| ~ transfinite_sequence(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( ( ( transfinite_sequence_of(X1,X0)
| ~ subset(relation_rng(X1),X0) )
& ( subset(relation_rng(X1),X0)
| ~ transfinite_sequence_of(X1,X0) ) )
| ~ transfinite_sequence(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(nnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( ( transfinite_sequence_of(X1,X0)
<=> subset(relation_rng(X1),X0) )
| ~ transfinite_sequence(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( ( transfinite_sequence_of(X1,X0)
<=> subset(relation_rng(X1),X0) )
| ~ transfinite_sequence(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ( transfinite_sequence(X1)
& function(X1)
& relation(X1) )
=> ( transfinite_sequence_of(X1,X0)
<=> subset(relation_rng(X1),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_ordinal1) ).
fof(f672,plain,
spl17_81,
inference(avatar_split_clause,[],[f169,f670]) ).
fof(f670,plain,
( spl17_81
<=> ! [X0,X1] :
( subset(relation_rng(X1),X0)
| ~ transfinite_sequence_of(X1,X0)
| ~ transfinite_sequence(X1)
| ~ function(X1)
| ~ relation(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_81])]) ).
fof(f169,plain,
! [X0,X1] :
( subset(relation_rng(X1),X0)
| ~ transfinite_sequence_of(X1,X0)
| ~ transfinite_sequence(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f666,plain,
spl17_80,
inference(avatar_split_clause,[],[f175,f664]) ).
fof(f175,plain,
! [X2,X0,X1] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X2))
& in(X0,X1) )
=> element(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f662,plain,
( ~ spl17_1
| ~ spl17_2
| spl17_79
| ~ spl17_3
| ~ spl17_77 ),
inference(avatar_split_clause,[],[f653,f644,f222,f659,f217,f212]) ).
fof(f222,plain,
( spl17_3
<=> ordinal(relation_dom(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).
fof(f644,plain,
( spl17_77
<=> ! [X0] :
( transfinite_sequence(X0)
| ~ ordinal(relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_77])]) ).
fof(f653,plain,
( transfinite_sequence(sK0)
| ~ function(sK0)
| ~ relation(sK0)
| ~ spl17_3
| ~ spl17_77 ),
inference(resolution,[],[f645,f224]) ).
fof(f224,plain,
( ordinal(relation_dom(sK0))
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f645,plain,
( ! [X0] :
( ~ ordinal(relation_dom(X0))
| transfinite_sequence(X0)
| ~ function(X0)
| ~ relation(X0) )
| ~ spl17_77 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f650,plain,
spl17_78,
inference(avatar_split_clause,[],[f176,f648]) ).
fof(f176,plain,
! [X2,X0,X1] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0,X1,X2] :
~ ( empty(X2)
& element(X1,powerset(X2))
& in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(f646,plain,
spl17_77,
inference(avatar_split_clause,[],[f157,f644]) ).
fof(f157,plain,
! [X0] :
( transfinite_sequence(X0)
| ~ ordinal(relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ( ( transfinite_sequence(X0)
| ~ ordinal(relation_dom(X0)) )
& ( ordinal(relation_dom(X0))
| ~ transfinite_sequence(X0) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(nnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ( transfinite_sequence(X0)
<=> ordinal(relation_dom(X0)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ( transfinite_sequence(X0)
<=> ordinal(relation_dom(X0)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( transfinite_sequence(X0)
<=> ordinal(relation_dom(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_ordinal1) ).
fof(f642,plain,
spl17_76,
inference(avatar_split_clause,[],[f156,f640]) ).
fof(f156,plain,
! [X0] :
( ordinal(relation_dom(X0))
| ~ transfinite_sequence(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f636,plain,
spl17_75,
inference(avatar_split_clause,[],[f168,f634]) ).
fof(f168,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f621,plain,
( spl17_74
| ~ spl17_12
| ~ spl17_48 ),
inference(avatar_split_clause,[],[f487,f444,f267,f618]) ).
fof(f618,plain,
( spl17_74
<=> function(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_74])]) ).
fof(f487,plain,
( function(sK4)
| ~ spl17_12
| ~ spl17_48 ),
inference(resolution,[],[f445,f269]) ).
fof(f613,plain,
spl17_73,
inference(avatar_split_clause,[],[f173,f611]) ).
fof(f173,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0,X1] :
~ ( empty(X1)
& X0 != X1
& empty(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(f609,plain,
spl17_72,
inference(avatar_split_clause,[],[f172,f607]) ).
fof(f172,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( ( element(X0,powerset(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ element(X0,powerset(X1)) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f605,plain,
spl17_71,
inference(avatar_split_clause,[],[f171,f603]) ).
fof(f171,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f601,plain,
spl17_70,
inference(avatar_split_clause,[],[f154,f599]) ).
fof(f599,plain,
( spl17_70
<=> ! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_70])]) ).
fof(f154,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| ~ relation(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ( relation(X0)
& ~ empty(X0) )
=> ~ empty(relation_rng(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_relat_1) ).
fof(f597,plain,
spl17_69,
inference(avatar_split_clause,[],[f153,f595]) ).
fof(f595,plain,
( spl17_69
<=> ! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_69])]) ).
fof(f153,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( ( relation(X0)
& ~ empty(X0) )
=> ~ empty(relation_dom(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_relat_1) ).
fof(f588,plain,
spl17_68,
inference(avatar_split_clause,[],[f167,f586]) ).
fof(f586,plain,
( spl17_68
<=> ! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_68])]) ).
fof(f167,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f584,plain,
spl17_67,
inference(avatar_split_clause,[],[f166,f582]) ).
fof(f582,plain,
( spl17_67
<=> ! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_67])]) ).
fof(f166,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f580,plain,
spl17_66,
inference(avatar_split_clause,[],[f155,f578]) ).
fof(f578,plain,
( spl17_66
<=> ! [X0] :
( ordinal(X0)
| ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_66])]) ).
fof(f155,plain,
! [X0] :
( ordinal(X0)
| ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ordinal(X0)
| ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ordinal(X0)
| ~ epsilon_connected(X0)
| ~ epsilon_transitive(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ( epsilon_connected(X0)
& epsilon_transitive(X0) )
=> ordinal(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_ordinal1) ).
fof(f566,plain,
( spl17_65
| ~ spl17_3
| ~ spl17_47 ),
inference(avatar_split_clause,[],[f481,f440,f222,f563]) ).
fof(f563,plain,
( spl17_65
<=> epsilon_connected(relation_dom(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_65])]) ).
fof(f481,plain,
( epsilon_connected(relation_dom(sK0))
| ~ spl17_3
| ~ spl17_47 ),
inference(resolution,[],[f441,f224]) ).
fof(f546,plain,
spl17_64,
inference(avatar_split_clause,[],[f174,f544]) ).
fof(f544,plain,
( spl17_64
<=> ! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_64])]) ).
fof(f174,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f542,plain,
spl17_63,
inference(avatar_split_clause,[],[f165,f540]) ).
fof(f165,plain,
! [X0,X1] :
( transfinite_sequence(X1)
| ~ transfinite_sequence_of(X1,X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( ( transfinite_sequence(X1)
& function(X1)
& relation(X1) )
| ~ transfinite_sequence_of(X1,X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( transfinite_sequence_of(X1,X0)
=> ( transfinite_sequence(X1)
& function(X1)
& relation(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_ordinal1) ).
fof(f538,plain,
spl17_62,
inference(avatar_split_clause,[],[f164,f536]) ).
fof(f164,plain,
! [X0,X1] :
( function(X1)
| ~ transfinite_sequence_of(X1,X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f534,plain,
spl17_61,
inference(avatar_split_clause,[],[f163,f532]) ).
fof(f163,plain,
! [X0,X1] :
( relation(X1)
| ~ transfinite_sequence_of(X1,X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f530,plain,
spl17_60,
inference(avatar_split_clause,[],[f152,f528]) ).
fof(f528,plain,
( spl17_60
<=> ! [X0] :
( relation(relation_rng(X0))
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_60])]) ).
fof(f152,plain,
! [X0] :
( relation(relation_rng(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ( relation(relation_rng(X0))
& empty(relation_rng(X0)) )
| ~ empty(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( empty(X0)
=> ( relation(relation_rng(X0))
& empty(relation_rng(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc8_relat_1) ).
fof(f526,plain,
spl17_59,
inference(avatar_split_clause,[],[f151,f524]) ).
fof(f151,plain,
! [X0] :
( empty(relation_rng(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f522,plain,
spl17_58,
inference(avatar_split_clause,[],[f150,f520]) ).
fof(f520,plain,
( spl17_58
<=> ! [X0] :
( relation(relation_dom(X0))
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_58])]) ).
fof(f150,plain,
! [X0] :
( relation(relation_dom(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ( relation(relation_dom(X0))
& empty(relation_dom(X0)) )
| ~ empty(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( empty(X0)
=> ( relation(relation_dom(X0))
& empty(relation_dom(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_relat_1) ).
fof(f518,plain,
spl17_57,
inference(avatar_split_clause,[],[f149,f516]) ).
fof(f149,plain,
! [X0] :
( empty(relation_dom(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f514,plain,
spl17_56,
inference(avatar_split_clause,[],[f145,f512]) ).
fof(f145,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f480,plain,
( spl17_55
| ~ spl17_3
| ~ spl17_46 ),
inference(avatar_split_clause,[],[f471,f436,f222,f477]) ).
fof(f477,plain,
( spl17_55
<=> epsilon_transitive(relation_dom(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_55])]) ).
fof(f471,plain,
( epsilon_transitive(relation_dom(sK0))
| ~ spl17_3
| ~ spl17_46 ),
inference(resolution,[],[f437,f224]) ).
fof(f470,plain,
spl17_54,
inference(avatar_split_clause,[],[f161,f468]) ).
fof(f161,plain,
! [X0] : element(sK2(X0),X0),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] : element(sK2(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f12,f94]) ).
fof(f94,plain,
! [X0] :
( ? [X1] : element(X1,X0)
=> element(sK2(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f12,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f466,plain,
spl17_53,
inference(avatar_split_clause,[],[f160,f464]) ).
fof(f160,plain,
! [X0] : transfinite_sequence_of(sK1(X0),X0),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] : transfinite_sequence_of(sK1(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f11,f92]) ).
fof(f92,plain,
! [X0] :
( ? [X1] : transfinite_sequence_of(X1,X0)
=> transfinite_sequence_of(sK1(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f11,axiom,
! [X0] :
? [X1] : transfinite_sequence_of(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_ordinal1) ).
fof(f462,plain,
spl17_52,
inference(avatar_split_clause,[],[f148,f460]) ).
fof(f148,plain,
! [X0] :
( ordinal(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ( ordinal(X0)
& epsilon_connected(X0)
& epsilon_transitive(X0) )
| ~ empty(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( empty(X0)
=> ( ordinal(X0)
& epsilon_connected(X0)
& epsilon_transitive(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc3_ordinal1) ).
fof(f458,plain,
spl17_51,
inference(avatar_split_clause,[],[f147,f456]) ).
fof(f147,plain,
! [X0] :
( epsilon_connected(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f454,plain,
spl17_50,
inference(avatar_split_clause,[],[f146,f452]) ).
fof(f146,plain,
! [X0] :
( epsilon_transitive(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f450,plain,
spl17_49,
inference(avatar_split_clause,[],[f144,f448]) ).
fof(f144,plain,
! [X0] :
( relation(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( relation(X0)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( empty(X0)
=> relation(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relat_1) ).
fof(f446,plain,
spl17_48,
inference(avatar_split_clause,[],[f143,f444]) ).
fof(f143,plain,
! [X0] :
( function(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( function(X0)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( empty(X0)
=> function(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_1) ).
fof(f442,plain,
spl17_47,
inference(avatar_split_clause,[],[f142,f440]) ).
fof(f142,plain,
! [X0] :
( epsilon_connected(X0)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ( epsilon_connected(X0)
& epsilon_transitive(X0) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ordinal(X0)
=> ( epsilon_connected(X0)
& epsilon_transitive(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_ordinal1) ).
fof(f438,plain,
spl17_46,
inference(avatar_split_clause,[],[f141,f436]) ).
fof(f141,plain,
! [X0] :
( epsilon_transitive(X0)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f434,plain,
spl17_45,
inference(avatar_split_clause,[],[f162,f432]) ).
fof(f162,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f430,plain,
spl17_44,
inference(avatar_split_clause,[],[f210,f427]) ).
fof(f427,plain,
( spl17_44
<=> function(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_44])]) ).
fof(f210,plain,
function(sK16),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
( function(sK16)
& empty(sK16)
& relation(sK16) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f26,f124]) ).
fof(f124,plain,
( ? [X0] :
( function(X0)
& empty(X0)
& relation(X0) )
=> ( function(sK16)
& empty(sK16)
& relation(sK16) ) ),
introduced(choice_axiom,[]) ).
fof(f26,axiom,
? [X0] :
( function(X0)
& empty(X0)
& relation(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_funct_1) ).
fof(f425,plain,
spl17_43,
inference(avatar_split_clause,[],[f209,f422]) ).
fof(f209,plain,
empty(sK16),
inference(cnf_transformation,[],[f125]) ).
fof(f420,plain,
spl17_42,
inference(avatar_split_clause,[],[f208,f417]) ).
fof(f417,plain,
( spl17_42
<=> relation(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_42])]) ).
fof(f208,plain,
relation(sK16),
inference(cnf_transformation,[],[f125]) ).
fof(f415,plain,
spl17_41,
inference(avatar_split_clause,[],[f207,f412]) ).
fof(f412,plain,
( spl17_41
<=> ordinal(sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_41])]) ).
fof(f207,plain,
ordinal(sK15),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
( ordinal(sK15)
& epsilon_connected(sK15)
& epsilon_transitive(sK15)
& empty(sK15)
& function(sK15)
& relation(sK15) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f55,f122]) ).
fof(f122,plain,
( ? [X0] :
( ordinal(X0)
& epsilon_connected(X0)
& epsilon_transitive(X0)
& empty(X0)
& function(X0)
& relation(X0) )
=> ( ordinal(sK15)
& epsilon_connected(sK15)
& epsilon_transitive(sK15)
& empty(sK15)
& function(sK15)
& relation(sK15) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
? [X0] :
( ordinal(X0)
& epsilon_connected(X0)
& epsilon_transitive(X0)
& empty(X0)
& function(X0)
& relation(X0) ),
inference(pure_predicate_removal,[],[f27]) ).
fof(f27,axiom,
? [X0] :
( ordinal(X0)
& epsilon_connected(X0)
& epsilon_transitive(X0)
& empty(X0)
& one_to_one(X0)
& function(X0)
& relation(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_ordinal1) ).
fof(f410,plain,
spl17_40,
inference(avatar_split_clause,[],[f206,f407]) ).
fof(f407,plain,
( spl17_40
<=> epsilon_connected(sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_40])]) ).
fof(f206,plain,
epsilon_connected(sK15),
inference(cnf_transformation,[],[f123]) ).
fof(f405,plain,
spl17_39,
inference(avatar_split_clause,[],[f205,f402]) ).
fof(f402,plain,
( spl17_39
<=> epsilon_transitive(sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_39])]) ).
fof(f205,plain,
epsilon_transitive(sK15),
inference(cnf_transformation,[],[f123]) ).
fof(f400,plain,
spl17_38,
inference(avatar_split_clause,[],[f204,f397]) ).
fof(f204,plain,
empty(sK15),
inference(cnf_transformation,[],[f123]) ).
fof(f395,plain,
spl17_37,
inference(avatar_split_clause,[],[f203,f392]) ).
fof(f392,plain,
( spl17_37
<=> function(sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_37])]) ).
fof(f203,plain,
function(sK15),
inference(cnf_transformation,[],[f123]) ).
fof(f390,plain,
spl17_36,
inference(avatar_split_clause,[],[f202,f387]) ).
fof(f387,plain,
( spl17_36
<=> relation(sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_36])]) ).
fof(f202,plain,
relation(sK15),
inference(cnf_transformation,[],[f123]) ).
fof(f385,plain,
spl17_35,
inference(avatar_split_clause,[],[f201,f382]) ).
fof(f382,plain,
( spl17_35
<=> function(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_35])]) ).
fof(f201,plain,
function(sK14),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
( function(sK14)
& relation(sK14) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f57,f120]) ).
fof(f120,plain,
( ? [X0] :
( function(X0)
& relation(X0) )
=> ( function(sK14)
& relation(sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
? [X0] :
( function(X0)
& relation(X0) ),
inference(pure_predicate_removal,[],[f30]) ).
fof(f30,axiom,
? [X0] :
( one_to_one(X0)
& function(X0)
& relation(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_funct_1) ).
fof(f380,plain,
spl17_34,
inference(avatar_split_clause,[],[f200,f377]) ).
fof(f377,plain,
( spl17_34
<=> relation(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_34])]) ).
fof(f200,plain,
relation(sK14),
inference(cnf_transformation,[],[f121]) ).
fof(f375,plain,
spl17_33,
inference(avatar_split_clause,[],[f199,f372]) ).
fof(f372,plain,
( spl17_33
<=> transfinite_sequence(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_33])]) ).
fof(f199,plain,
transfinite_sequence(sK13),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
( transfinite_sequence(sK13)
& function(sK13)
& relation(sK13) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f34,f118]) ).
fof(f118,plain,
( ? [X0] :
( transfinite_sequence(X0)
& function(X0)
& relation(X0) )
=> ( transfinite_sequence(sK13)
& function(sK13)
& relation(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f34,axiom,
? [X0] :
( transfinite_sequence(X0)
& function(X0)
& relation(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc4_ordinal1) ).
fof(f370,plain,
spl17_32,
inference(avatar_split_clause,[],[f198,f367]) ).
fof(f367,plain,
( spl17_32
<=> function(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_32])]) ).
fof(f198,plain,
function(sK13),
inference(cnf_transformation,[],[f119]) ).
fof(f365,plain,
spl17_31,
inference(avatar_split_clause,[],[f197,f362]) ).
fof(f362,plain,
( spl17_31
<=> relation(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_31])]) ).
fof(f197,plain,
relation(sK13),
inference(cnf_transformation,[],[f119]) ).
fof(f360,plain,
spl17_30,
inference(avatar_split_clause,[],[f196,f357]) ).
fof(f357,plain,
( spl17_30
<=> function(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_30])]) ).
fof(f196,plain,
function(sK12),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
( function(sK12)
& relation(sK12) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f22,f116]) ).
fof(f116,plain,
( ? [X0] :
( function(X0)
& relation(X0) )
=> ( function(sK12)
& relation(sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f22,axiom,
? [X0] :
( function(X0)
& relation(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_funct_1) ).
fof(f355,plain,
spl17_29,
inference(avatar_split_clause,[],[f195,f352]) ).
fof(f352,plain,
( spl17_29
<=> relation(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_29])]) ).
fof(f195,plain,
relation(sK12),
inference(cnf_transformation,[],[f117]) ).
fof(f350,plain,
spl17_28,
inference(avatar_split_clause,[],[f194,f347]) ).
fof(f347,plain,
( spl17_28
<=> function(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_28])]) ).
fof(f194,plain,
function(sK11),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
( function(sK11)
& relation(sK11) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f53,f114]) ).
fof(f114,plain,
( ? [X0] :
( function(X0)
& relation(X0) )
=> ( function(sK11)
& relation(sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
? [X0] :
( function(X0)
& relation(X0) ),
inference(pure_predicate_removal,[],[f33]) ).
fof(f33,axiom,
? [X0] :
( function(X0)
& relation_empty_yielding(X0)
& relation(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc4_funct_1) ).
fof(f345,plain,
spl17_27,
inference(avatar_split_clause,[],[f193,f342]) ).
fof(f342,plain,
( spl17_27
<=> relation(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_27])]) ).
fof(f193,plain,
relation(sK11),
inference(cnf_transformation,[],[f115]) ).
fof(f340,plain,
spl17_26,
inference(avatar_split_clause,[],[f192,f337]) ).
fof(f337,plain,
( spl17_26
<=> relation(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_26])]) ).
fof(f192,plain,
relation(sK10),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
relation(sK10),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f51,f112]) ).
fof(f112,plain,
( ? [X0] : relation(X0)
=> relation(sK10) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
? [X0] : relation(X0),
inference(pure_predicate_removal,[],[f32]) ).
fof(f32,axiom,
? [X0] :
( relation_empty_yielding(X0)
& relation(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_relat_1) ).
fof(f335,plain,
spl17_25,
inference(avatar_split_clause,[],[f191,f332]) ).
fof(f332,plain,
( spl17_25
<=> function(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_25])]) ).
fof(f191,plain,
function(sK9),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
( function(sK9)
& relation(sK9) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f49,f110]) ).
fof(f110,plain,
( ? [X0] :
( function(X0)
& relation(X0) )
=> ( function(sK9)
& relation(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
? [X0] :
( function(X0)
& relation(X0) ),
inference(pure_predicate_removal,[],[f35]) ).
fof(f35,axiom,
? [X0] :
( function(X0)
& relation_non_empty(X0)
& relation(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_funct_1) ).
fof(f330,plain,
spl17_24,
inference(avatar_split_clause,[],[f190,f327]) ).
fof(f327,plain,
( spl17_24
<=> relation(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_24])]) ).
fof(f190,plain,
relation(sK9),
inference(cnf_transformation,[],[f111]) ).
fof(f325,plain,
spl17_23,
inference(avatar_split_clause,[],[f189,f322]) ).
fof(f322,plain,
( spl17_23
<=> relation(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_23])]) ).
fof(f189,plain,
relation(sK8),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
( relation(sK8)
& empty(sK8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f24,f108]) ).
fof(f108,plain,
( ? [X0] :
( relation(X0)
& empty(X0) )
=> ( relation(sK8)
& empty(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f24,axiom,
? [X0] :
( relation(X0)
& empty(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_relat_1) ).
fof(f320,plain,
spl17_22,
inference(avatar_split_clause,[],[f188,f317]) ).
fof(f188,plain,
empty(sK8),
inference(cnf_transformation,[],[f109]) ).
fof(f315,plain,
spl17_21,
inference(avatar_split_clause,[],[f187,f312]) ).
fof(f312,plain,
( spl17_21
<=> ordinal(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_21])]) ).
fof(f187,plain,
ordinal(sK7),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
( ordinal(sK7)
& epsilon_connected(sK7)
& epsilon_transitive(sK7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f23,f106]) ).
fof(f106,plain,
( ? [X0] :
( ordinal(X0)
& epsilon_connected(X0)
& epsilon_transitive(X0) )
=> ( ordinal(sK7)
& epsilon_connected(sK7)
& epsilon_transitive(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f23,axiom,
? [X0] :
( ordinal(X0)
& epsilon_connected(X0)
& epsilon_transitive(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_ordinal1) ).
fof(f310,plain,
spl17_20,
inference(avatar_split_clause,[],[f186,f307]) ).
fof(f307,plain,
( spl17_20
<=> epsilon_connected(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_20])]) ).
fof(f186,plain,
epsilon_connected(sK7),
inference(cnf_transformation,[],[f107]) ).
fof(f305,plain,
spl17_19,
inference(avatar_split_clause,[],[f185,f302]) ).
fof(f302,plain,
( spl17_19
<=> epsilon_transitive(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_19])]) ).
fof(f185,plain,
epsilon_transitive(sK7),
inference(cnf_transformation,[],[f107]) ).
fof(f300,plain,
spl17_18,
inference(avatar_split_clause,[],[f184,f297]) ).
fof(f297,plain,
( spl17_18
<=> relation(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_18])]) ).
fof(f184,plain,
relation(sK6),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( relation(sK6)
& ~ empty(sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f28,f104]) ).
fof(f104,plain,
( ? [X0] :
( relation(X0)
& ~ empty(X0) )
=> ( relation(sK6)
& ~ empty(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f28,axiom,
? [X0] :
( relation(X0)
& ~ empty(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_relat_1) ).
fof(f295,plain,
~ spl17_17,
inference(avatar_split_clause,[],[f183,f292]) ).
fof(f292,plain,
( spl17_17
<=> empty(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_17])]) ).
fof(f183,plain,
~ empty(sK6),
inference(cnf_transformation,[],[f105]) ).
fof(f290,plain,
spl17_16,
inference(avatar_split_clause,[],[f182,f287]) ).
fof(f287,plain,
( spl17_16
<=> ordinal(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_16])]) ).
fof(f182,plain,
ordinal(sK5),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
( ordinal(sK5)
& epsilon_connected(sK5)
& epsilon_transitive(sK5)
& ~ empty(sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f31,f102]) ).
fof(f102,plain,
( ? [X0] :
( ordinal(X0)
& epsilon_connected(X0)
& epsilon_transitive(X0)
& ~ empty(X0) )
=> ( ordinal(sK5)
& epsilon_connected(sK5)
& epsilon_transitive(sK5)
& ~ empty(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f31,axiom,
? [X0] :
( ordinal(X0)
& epsilon_connected(X0)
& epsilon_transitive(X0)
& ~ empty(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_ordinal1) ).
fof(f285,plain,
spl17_15,
inference(avatar_split_clause,[],[f181,f282]) ).
fof(f282,plain,
( spl17_15
<=> epsilon_connected(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_15])]) ).
fof(f181,plain,
epsilon_connected(sK5),
inference(cnf_transformation,[],[f103]) ).
fof(f280,plain,
spl17_14,
inference(avatar_split_clause,[],[f180,f277]) ).
fof(f277,plain,
( spl17_14
<=> epsilon_transitive(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_14])]) ).
fof(f180,plain,
epsilon_transitive(sK5),
inference(cnf_transformation,[],[f103]) ).
fof(f275,plain,
~ spl17_13,
inference(avatar_split_clause,[],[f179,f272]) ).
fof(f272,plain,
( spl17_13
<=> empty(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_13])]) ).
fof(f179,plain,
~ empty(sK5),
inference(cnf_transformation,[],[f103]) ).
fof(f270,plain,
spl17_12,
inference(avatar_split_clause,[],[f178,f267]) ).
fof(f178,plain,
empty(sK4),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
empty(sK4),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f25,f100]) ).
fof(f100,plain,
( ? [X0] : empty(X0)
=> empty(sK4) ),
introduced(choice_axiom,[]) ).
fof(f25,axiom,
? [X0] : empty(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f265,plain,
~ spl17_11,
inference(avatar_split_clause,[],[f177,f262]) ).
fof(f262,plain,
( spl17_11
<=> empty(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_11])]) ).
fof(f177,plain,
~ empty(sK3),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
~ empty(sK3),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f29,f98]) ).
fof(f98,plain,
( ? [X0] : ~ empty(X0)
=> ~ empty(sK3) ),
introduced(choice_axiom,[]) ).
fof(f29,axiom,
? [X0] : ~ empty(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f260,plain,
spl17_10,
inference(avatar_split_clause,[],[f140,f257]) ).
fof(f257,plain,
( spl17_10
<=> ordinal(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_10])]) ).
fof(f140,plain,
ordinal(empty_set),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
( ordinal(empty_set)
& epsilon_connected(empty_set)
& epsilon_transitive(empty_set)
& empty(empty_set)
& function(empty_set)
& relation(empty_set) ),
inference(pure_predicate_removal,[],[f50]) ).
fof(f50,plain,
( ordinal(empty_set)
& epsilon_connected(empty_set)
& epsilon_transitive(empty_set)
& empty(empty_set)
& one_to_one(empty_set)
& function(empty_set)
& relation(empty_set) ),
inference(pure_predicate_removal,[],[f15]) ).
fof(f15,axiom,
( ordinal(empty_set)
& epsilon_connected(empty_set)
& epsilon_transitive(empty_set)
& empty(empty_set)
& one_to_one(empty_set)
& function(empty_set)
& relation_empty_yielding(empty_set)
& relation(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_ordinal1) ).
fof(f255,plain,
spl17_9,
inference(avatar_split_clause,[],[f139,f252]) ).
fof(f252,plain,
( spl17_9
<=> epsilon_connected(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_9])]) ).
fof(f139,plain,
epsilon_connected(empty_set),
inference(cnf_transformation,[],[f54]) ).
fof(f250,plain,
spl17_8,
inference(avatar_split_clause,[],[f138,f247]) ).
fof(f247,plain,
( spl17_8
<=> epsilon_transitive(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_8])]) ).
fof(f138,plain,
epsilon_transitive(empty_set),
inference(cnf_transformation,[],[f54]) ).
fof(f245,plain,
spl17_7,
inference(avatar_split_clause,[],[f136,f242]) ).
fof(f242,plain,
( spl17_7
<=> function(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_7])]) ).
fof(f136,plain,
function(empty_set),
inference(cnf_transformation,[],[f54]) ).
fof(f240,plain,
spl17_6,
inference(avatar_split_clause,[],[f132,f237]) ).
fof(f237,plain,
( spl17_6
<=> relation(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_6])]) ).
fof(f132,plain,
relation(empty_set),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
( relation(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(f235,plain,
spl17_5,
inference(avatar_split_clause,[],[f130,f232]) ).
fof(f130,plain,
empty(empty_set),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
empty(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f230,plain,
~ spl17_4,
inference(avatar_split_clause,[],[f129,f227]) ).
fof(f129,plain,
~ transfinite_sequence_of(sK0,relation_rng(sK0)),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
( ~ transfinite_sequence_of(sK0,relation_rng(sK0))
& ordinal(relation_dom(sK0))
& function(sK0)
& relation(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f59,f89]) ).
fof(f89,plain,
( ? [X0] :
( ~ transfinite_sequence_of(X0,relation_rng(X0))
& ordinal(relation_dom(X0))
& function(X0)
& relation(X0) )
=> ( ~ transfinite_sequence_of(sK0,relation_rng(sK0))
& ordinal(relation_dom(sK0))
& function(sK0)
& relation(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
? [X0] :
( ~ transfinite_sequence_of(X0,relation_rng(X0))
& ordinal(relation_dom(X0))
& function(X0)
& relation(X0) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
? [X0] :
( ~ transfinite_sequence_of(X0,relation_rng(X0))
& ordinal(relation_dom(X0))
& function(X0)
& relation(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ( ordinal(relation_dom(X0))
=> transfinite_sequence_of(X0,relation_rng(X0)) ) ),
inference(negated_conjecture,[],[f40]) ).
fof(f40,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( ordinal(relation_dom(X0))
=> transfinite_sequence_of(X0,relation_rng(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_ordinal1) ).
fof(f225,plain,
spl17_3,
inference(avatar_split_clause,[],[f128,f222]) ).
fof(f128,plain,
ordinal(relation_dom(sK0)),
inference(cnf_transformation,[],[f90]) ).
fof(f220,plain,
spl17_2,
inference(avatar_split_clause,[],[f127,f217]) ).
fof(f127,plain,
function(sK0),
inference(cnf_transformation,[],[f90]) ).
fof(f215,plain,
spl17_1,
inference(avatar_split_clause,[],[f126,f212]) ).
fof(f126,plain,
relation(sK0),
inference(cnf_transformation,[],[f90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : NUM410+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.08 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.07/0.27 % Computer : n016.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Mon Apr 29 23:57:25 EDT 2024
% 0.07/0.27 % CPUTime :
% 0.07/0.27 % (6054)Running in auto input_syntax mode. Trying TPTP
% 0.07/0.28 % (6055)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.07/0.29 TRYING [1]
% 0.07/0.29 TRYING [2]
% 0.07/0.29 % (6057)WARNING: value z3 for option sas not known
% 0.07/0.29 % (6056)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.07/0.29 % (6058)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.07/0.29 % (6059)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.07/0.29 % (6060)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.07/0.29 % (6057)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.07/0.29 % (6061)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.07/0.29 TRYING [3]
% 0.07/0.29 TRYING [1]
% 0.07/0.29 TRYING [2]
% 0.07/0.29 TRYING [3]
% 0.07/0.30 TRYING [4]
% 0.07/0.30 TRYING [4]
% 0.07/0.30 TRYING [1]
% 0.07/0.30 TRYING [2]
% 0.07/0.30 TRYING [3]
% 0.07/0.30 % (6059)First to succeed.
% 0.07/0.30 TRYING [5]
% 0.07/0.30 TRYING [4]
% 0.12/0.31 % (6059)Refutation found. Thanks to Tanya!
% 0.12/0.31 % SZS status Theorem for theBenchmark
% 0.12/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.31 % (6059)------------------------------
% 0.12/0.31 % (6059)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.12/0.31 % (6059)Termination reason: Refutation
% 0.12/0.31
% 0.12/0.31 % (6059)Memory used [KB]: 1087
% 0.12/0.31 % (6059)Time elapsed: 0.016 s
% 0.12/0.31 % (6059)Instructions burned: 25 (million)
% 0.12/0.31 % (6059)------------------------------
% 0.12/0.31 % (6059)------------------------------
% 0.12/0.31 % (6054)Success in time 0.033 s
%------------------------------------------------------------------------------