TSTP Solution File: SEU141+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU141+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.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 15:22:33 EDT 2024
% Result : Theorem 0.21s 0.41s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 176
% Syntax : Number of formulae : 565 ( 130 unt; 0 def)
% Number of atoms : 1604 ( 203 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 1779 ( 740 ~; 732 |; 139 &)
% ( 137 <=>; 29 =>; 0 <=; 2 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 122 ( 120 usr; 113 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 5 con; 0-3 aty)
% Number of variables : 886 ( 847 !; 39 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1356,plain,
$false,
inference(avatar_sat_refutation,[],[f262,f267,f272,f277,f281,f285,f289,f293,f297,f301,f306,f310,f314,f318,f322,f326,f336,f343,f347,f351,f363,f367,f371,f375,f379,f383,f387,f391,f407,f413,f418,f428,f433,f439,f444,f448,f452,f477,f481,f485,f489,f494,f499,f516,f520,f551,f555,f564,f569,f574,f578,f582,f586,f616,f625,f629,f633,f637,f641,f667,f671,f675,f679,f684,f735,f739,f763,f767,f771,f775,f779,f783,f785,f799,f812,f816,f817,f821,f899,f925,f952,f953,f961,f965,f969,f973,f996,f1046,f1050,f1054,f1058,f1062,f1066,f1117,f1121,f1125,f1170,f1180,f1227,f1231,f1235,f1264,f1268,f1272,f1276,f1280,f1303,f1307,f1312,f1317,f1321,f1342,f1346,f1350,f1354,f1355]) ).
fof(f1355,plain,
( spl15_2
| ~ spl15_11
| ~ spl15_13
| ~ spl15_19
| ~ spl15_36
| ~ spl15_41
| ~ spl15_49
| ~ spl15_95 ),
inference(avatar_split_clause,[],[f1210,f1177,f562,f483,f442,f340,f308,f299,f259]) ).
fof(f259,plain,
( spl15_2
<=> sK3 = set_difference(sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f299,plain,
( spl15_11
<=> ! [X0,X1] : subset(set_difference(X0,X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).
fof(f308,plain,
( spl15_13
<=> ! [X0] : set_union2(X0,empty_set) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).
fof(f340,plain,
( spl15_19
<=> empty_set = sK14 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_19])]) ).
fof(f442,plain,
( spl15_36
<=> ! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_36])]) ).
fof(f483,plain,
( spl15_41
<=> ! [X0,X1] :
( set_union2(X0,X1) = X1
| ~ subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_41])]) ).
fof(f562,plain,
( spl15_49
<=> ! [X0,X1] : set_union2(X0,X1) = set_union2(X0,set_difference(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_49])]) ).
fof(f1177,plain,
( spl15_95
<=> sK14 = set_difference(sK3,set_difference(sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_95])]) ).
fof(f1210,plain,
( sK3 = set_difference(sK3,sK4)
| ~ spl15_11
| ~ spl15_13
| ~ spl15_19
| ~ spl15_36
| ~ spl15_41
| ~ spl15_49
| ~ spl15_95 ),
inference(forward_demodulation,[],[f1209,f510]) ).
fof(f510,plain,
( ! [X0,X1] : set_union2(set_difference(X0,X1),X0) = X0
| ~ spl15_11
| ~ spl15_41 ),
inference(resolution,[],[f484,f300]) ).
fof(f300,plain,
( ! [X0,X1] : subset(set_difference(X0,X1),X0)
| ~ spl15_11 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f484,plain,
( ! [X0,X1] :
( ~ subset(X0,X1)
| set_union2(X0,X1) = X1 )
| ~ spl15_41 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f1209,plain,
( set_difference(sK3,sK4) = set_union2(set_difference(sK3,sK4),sK3)
| ~ spl15_13
| ~ spl15_19
| ~ spl15_36
| ~ spl15_49
| ~ spl15_95 ),
inference(forward_demodulation,[],[f1208,f465]) ).
fof(f465,plain,
( ! [X0] : set_union2(sK14,X0) = X0
| ~ spl15_13
| ~ spl15_19
| ~ spl15_36 ),
inference(forward_demodulation,[],[f453,f342]) ).
fof(f342,plain,
( empty_set = sK14
| ~ spl15_19 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f453,plain,
( ! [X0] : set_union2(empty_set,X0) = X0
| ~ spl15_13
| ~ spl15_36 ),
inference(superposition,[],[f443,f309]) ).
fof(f309,plain,
( ! [X0] : set_union2(X0,empty_set) = X0
| ~ spl15_13 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f443,plain,
( ! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0)
| ~ spl15_36 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f1208,plain,
( set_union2(set_difference(sK3,sK4),sK3) = set_union2(sK14,set_difference(sK3,sK4))
| ~ spl15_36
| ~ spl15_49
| ~ spl15_95 ),
inference(forward_demodulation,[],[f1196,f443]) ).
fof(f1196,plain,
( set_union2(set_difference(sK3,sK4),sK3) = set_union2(set_difference(sK3,sK4),sK14)
| ~ spl15_49
| ~ spl15_95 ),
inference(superposition,[],[f563,f1179]) ).
fof(f1179,plain,
( sK14 = set_difference(sK3,set_difference(sK3,sK4))
| ~ spl15_95 ),
inference(avatar_component_clause,[],[f1177]) ).
fof(f563,plain,
( ! [X0,X1] : set_union2(X0,X1) = set_union2(X0,set_difference(X1,X0))
| ~ spl15_49 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f1354,plain,
( spl15_112
| ~ spl15_10
| ~ spl15_36 ),
inference(avatar_split_clause,[],[f458,f442,f295,f1352]) ).
fof(f1352,plain,
( spl15_112
<=> ! [X0,X1] : subset(X0,set_union2(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_112])]) ).
fof(f295,plain,
( spl15_10
<=> ! [X0,X1] : subset(X0,set_union2(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
fof(f458,plain,
( ! [X0,X1] : subset(X0,set_union2(X1,X0))
| ~ spl15_10
| ~ spl15_36 ),
inference(superposition,[],[f296,f443]) ).
fof(f296,plain,
( ! [X0,X1] : subset(X0,set_union2(X0,X1))
| ~ spl15_10 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f1350,plain,
( spl15_111
| ~ spl15_11
| ~ spl15_21 ),
inference(avatar_split_clause,[],[f359,f349,f299,f1348]) ).
fof(f1348,plain,
( spl15_111
<=> ! [X0] : sK14 = set_difference(sK14,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_111])]) ).
fof(f349,plain,
( spl15_21
<=> ! [X0] :
( ~ subset(X0,sK14)
| sK14 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_21])]) ).
fof(f359,plain,
( ! [X0] : sK14 = set_difference(sK14,X0)
| ~ spl15_11
| ~ spl15_21 ),
inference(resolution,[],[f350,f300]) ).
fof(f350,plain,
( ! [X0] :
( ~ subset(X0,sK14)
| sK14 = X0 )
| ~ spl15_21 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f1346,plain,
( spl15_110
| ~ spl15_10
| ~ spl15_20 ),
inference(avatar_split_clause,[],[f355,f345,f295,f1344]) ).
fof(f1344,plain,
( spl15_110
<=> ! [X0,X1] : ~ proper_subset(set_union2(X0,X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_110])]) ).
fof(f345,plain,
( spl15_20
<=> ! [X0,X1] :
( ~ proper_subset(X1,X0)
| ~ subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_20])]) ).
fof(f355,plain,
( ! [X0,X1] : ~ proper_subset(set_union2(X0,X1),X0)
| ~ spl15_10
| ~ spl15_20 ),
inference(resolution,[],[f346,f296]) ).
fof(f346,plain,
( ! [X0,X1] :
( ~ subset(X0,X1)
| ~ proper_subset(X1,X0) )
| ~ spl15_20 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f1342,plain,
( spl15_109
| ~ spl15_11
| ~ spl15_20 ),
inference(avatar_split_clause,[],[f354,f345,f299,f1340]) ).
fof(f1340,plain,
( spl15_109
<=> ! [X0,X1] : ~ proper_subset(X0,set_difference(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_109])]) ).
fof(f354,plain,
( ! [X0,X1] : ~ proper_subset(X0,set_difference(X0,X1))
| ~ spl15_11
| ~ spl15_20 ),
inference(resolution,[],[f346,f300]) ).
fof(f1321,plain,
( spl15_108
| ~ spl15_14
| ~ spl15_19
| ~ spl15_29 ),
inference(avatar_split_clause,[],[f403,f389,f340,f312,f1319]) ).
fof(f1319,plain,
( spl15_108
<=> ! [X0] : sP2(sK14,X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_108])]) ).
fof(f312,plain,
( spl15_14
<=> ! [X0] : set_difference(X0,empty_set) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).
fof(f389,plain,
( spl15_29
<=> ! [X0,X1] : sP2(X1,X0,set_difference(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_29])]) ).
fof(f403,plain,
( ! [X0] : sP2(sK14,X0,X0)
| ~ spl15_14
| ~ spl15_19
| ~ spl15_29 ),
inference(forward_demodulation,[],[f401,f342]) ).
fof(f401,plain,
( ! [X0] : sP2(empty_set,X0,X0)
| ~ spl15_14
| ~ spl15_29 ),
inference(superposition,[],[f390,f313]) ).
fof(f313,plain,
( ! [X0] : set_difference(X0,empty_set) = X0
| ~ spl15_14 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f390,plain,
( ! [X0,X1] : sP2(X1,X0,set_difference(X0,X1))
| ~ spl15_29 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f1317,plain,
( spl15_107
| ~ spl15_12
| ~ spl15_19
| ~ spl15_29 ),
inference(avatar_split_clause,[],[f402,f389,f340,f304,f1315]) ).
fof(f1315,plain,
( spl15_107
<=> ! [X0] : sP2(X0,sK14,sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_107])]) ).
fof(f304,plain,
( spl15_12
<=> ! [X0] : empty_set = set_difference(empty_set,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).
fof(f402,plain,
( ! [X0] : sP2(X0,sK14,sK14)
| ~ spl15_12
| ~ spl15_19
| ~ spl15_29 ),
inference(forward_demodulation,[],[f400,f342]) ).
fof(f400,plain,
( ! [X0] : sP2(X0,empty_set,empty_set)
| ~ spl15_12
| ~ spl15_29 ),
inference(superposition,[],[f390,f305]) ).
fof(f305,plain,
( ! [X0] : empty_set = set_difference(empty_set,X0)
| ~ spl15_12 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f1312,plain,
( spl15_106
| ~ spl15_45
| ~ spl15_95 ),
inference(avatar_split_clause,[],[f1205,f1177,f514,f1309]) ).
fof(f1309,plain,
( spl15_106
<=> subset(sK3,set_difference(sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_106])]) ).
fof(f514,plain,
( spl15_45
<=> ! [X0,X1] :
( set_difference(X0,X1) != sK14
| subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_45])]) ).
fof(f1205,plain,
( subset(sK3,set_difference(sK3,sK4))
| ~ spl15_45
| ~ spl15_95 ),
inference(trivial_inequality_removal,[],[f1195]) ).
fof(f1195,plain,
( sK14 != sK14
| subset(sK3,set_difference(sK3,sK4))
| ~ spl15_45
| ~ spl15_95 ),
inference(superposition,[],[f515,f1179]) ).
fof(f515,plain,
( ! [X0,X1] :
( set_difference(X0,X1) != sK14
| subset(X0,X1) )
| ~ spl15_45 ),
inference(avatar_component_clause,[],[f514]) ).
fof(f1307,plain,
( spl15_105
| ~ spl15_13
| ~ spl15_19
| ~ spl15_27 ),
inference(avatar_split_clause,[],[f398,f381,f340,f308,f1305]) ).
fof(f1305,plain,
( spl15_105
<=> ! [X0] : sP1(sK14,X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_105])]) ).
fof(f381,plain,
( spl15_27
<=> ! [X0,X1] : sP1(X1,X0,set_union2(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_27])]) ).
fof(f398,plain,
( ! [X0] : sP1(sK14,X0,X0)
| ~ spl15_13
| ~ spl15_19
| ~ spl15_27 ),
inference(forward_demodulation,[],[f396,f342]) ).
fof(f396,plain,
( ! [X0] : sP1(empty_set,X0,X0)
| ~ spl15_13
| ~ spl15_27 ),
inference(superposition,[],[f382,f309]) ).
fof(f382,plain,
( ! [X0,X1] : sP1(X1,X0,set_union2(X0,X1))
| ~ spl15_27 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f1303,plain,
( spl15_104
| ~ spl15_16
| ~ spl15_27 ),
inference(avatar_split_clause,[],[f397,f381,f320,f1301]) ).
fof(f1301,plain,
( spl15_104
<=> ! [X0] : sP1(X0,X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_104])]) ).
fof(f320,plain,
( spl15_16
<=> ! [X0] : set_union2(X0,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_16])]) ).
fof(f397,plain,
( ! [X0] : sP1(X0,X0,X0)
| ~ spl15_16
| ~ spl15_27 ),
inference(superposition,[],[f382,f321]) ).
fof(f321,plain,
( ! [X0] : set_union2(X0,X0) = X0
| ~ spl15_16 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f1280,plain,
( spl15_103
| ~ spl15_31
| ~ spl15_34
| ~ spl15_44 ),
inference(avatar_split_clause,[],[f532,f497,f431,f411,f1278]) ).
fof(f1278,plain,
( spl15_103
<=> ! [X0] : sP0(X0,X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_103])]) ).
fof(f411,plain,
( spl15_31
<=> ! [X0] : sK14 = set_difference(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_31])]) ).
fof(f431,plain,
( spl15_34
<=> ! [X0] : set_difference(X0,sK14) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_34])]) ).
fof(f497,plain,
( spl15_44
<=> ! [X0,X1] : sP0(X1,X0,set_difference(X0,set_difference(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_44])]) ).
fof(f532,plain,
( ! [X0] : sP0(X0,X0,X0)
| ~ spl15_31
| ~ spl15_34
| ~ spl15_44 ),
inference(forward_demodulation,[],[f524,f432]) ).
fof(f432,plain,
( ! [X0] : set_difference(X0,sK14) = X0
| ~ spl15_34 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f524,plain,
( ! [X0] : sP0(X0,X0,set_difference(X0,sK14))
| ~ spl15_31
| ~ spl15_44 ),
inference(superposition,[],[f498,f412]) ).
fof(f412,plain,
( ! [X0] : sK14 = set_difference(X0,X0)
| ~ spl15_31 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f498,plain,
( ! [X0,X1] : sP0(X1,X0,set_difference(X0,set_difference(X0,X1)))
| ~ spl15_44 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f1276,plain,
( spl15_102
| ~ spl15_14
| ~ spl15_19
| ~ spl15_31
| ~ spl15_44 ),
inference(avatar_split_clause,[],[f531,f497,f411,f340,f312,f1274]) ).
fof(f1274,plain,
( spl15_102
<=> ! [X0] : sP0(sK14,X0,sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_102])]) ).
fof(f531,plain,
( ! [X0] : sP0(sK14,X0,sK14)
| ~ spl15_14
| ~ spl15_19
| ~ spl15_31
| ~ spl15_44 ),
inference(forward_demodulation,[],[f530,f342]) ).
fof(f530,plain,
( ! [X0] : sP0(empty_set,X0,sK14)
| ~ spl15_14
| ~ spl15_31
| ~ spl15_44 ),
inference(forward_demodulation,[],[f523,f412]) ).
fof(f523,plain,
( ! [X0] : sP0(empty_set,X0,set_difference(X0,X0))
| ~ spl15_14
| ~ spl15_44 ),
inference(superposition,[],[f498,f313]) ).
fof(f1272,plain,
( spl15_101
| ~ spl15_12
| ~ spl15_14
| ~ spl15_19
| ~ spl15_44 ),
inference(avatar_split_clause,[],[f529,f497,f340,f312,f304,f1270]) ).
fof(f1270,plain,
( spl15_101
<=> ! [X0] : sP0(X0,sK14,sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_101])]) ).
fof(f529,plain,
( ! [X0] : sP0(X0,sK14,sK14)
| ~ spl15_12
| ~ spl15_14
| ~ spl15_19
| ~ spl15_44 ),
inference(forward_demodulation,[],[f528,f342]) ).
fof(f528,plain,
( ! [X0] : sP0(X0,empty_set,empty_set)
| ~ spl15_12
| ~ spl15_14
| ~ spl15_44 ),
inference(forward_demodulation,[],[f522,f313]) ).
fof(f522,plain,
( ! [X0] : sP0(X0,empty_set,set_difference(empty_set,empty_set))
| ~ spl15_12
| ~ spl15_44 ),
inference(superposition,[],[f498,f305]) ).
fof(f1268,plain,
( spl15_100
| ~ spl15_29
| ~ spl15_31 ),
inference(avatar_split_clause,[],[f421,f411,f389,f1266]) ).
fof(f1266,plain,
( spl15_100
<=> ! [X0] : sP2(X0,X0,sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_100])]) ).
fof(f421,plain,
( ! [X0] : sP2(X0,X0,sK14)
| ~ spl15_29
| ~ spl15_31 ),
inference(superposition,[],[f390,f412]) ).
fof(f1264,plain,
( spl15_99
| ~ spl15_11
| ~ spl15_94 ),
inference(avatar_split_clause,[],[f1173,f1168,f299,f1262]) ).
fof(f1262,plain,
( spl15_99
<=> ! [X0] : disjoint(set_difference(sK3,X0),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_99])]) ).
fof(f1168,plain,
( spl15_94
<=> ! [X0] :
( disjoint(X0,sK4)
| ~ subset(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_94])]) ).
fof(f1173,plain,
( ! [X0] : disjoint(set_difference(sK3,X0),sK4)
| ~ spl15_11
| ~ spl15_94 ),
inference(resolution,[],[f1169,f300]) ).
fof(f1169,plain,
( ! [X0] :
( ~ subset(X0,sK3)
| disjoint(X0,sK4) )
| ~ spl15_94 ),
inference(avatar_component_clause,[],[f1168]) ).
fof(f1235,plain,
( spl15_98
| ~ spl15_9
| ~ spl15_19
| ~ spl15_40 ),
inference(avatar_split_clause,[],[f507,f479,f340,f291,f1233]) ).
fof(f1233,plain,
( spl15_98
<=> ! [X0] : disjoint(X0,sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_98])]) ).
fof(f291,plain,
( spl15_9
<=> ! [X2] : ~ in(X2,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).
fof(f479,plain,
( spl15_40
<=> ! [X0,X1] :
( in(sK6(X0,X1),X1)
| disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_40])]) ).
fof(f507,plain,
( ! [X0] : disjoint(X0,sK14)
| ~ spl15_9
| ~ spl15_19
| ~ spl15_40 ),
inference(forward_demodulation,[],[f504,f342]) ).
fof(f504,plain,
( ! [X0] : disjoint(X0,empty_set)
| ~ spl15_9
| ~ spl15_40 ),
inference(resolution,[],[f480,f292]) ).
fof(f292,plain,
( ! [X2] : ~ in(X2,empty_set)
| ~ spl15_9 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f480,plain,
( ! [X0,X1] :
( in(sK6(X0,X1),X1)
| disjoint(X0,X1) )
| ~ spl15_40 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f1231,plain,
( spl15_97
| ~ spl15_9
| ~ spl15_19
| ~ spl15_39 ),
inference(avatar_split_clause,[],[f503,f475,f340,f291,f1229]) ).
fof(f1229,plain,
( spl15_97
<=> ! [X0] : disjoint(sK14,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_97])]) ).
fof(f475,plain,
( spl15_39
<=> ! [X0,X1] :
( in(sK6(X0,X1),X0)
| disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_39])]) ).
fof(f503,plain,
( ! [X0] : disjoint(sK14,X0)
| ~ spl15_9
| ~ spl15_19
| ~ spl15_39 ),
inference(forward_demodulation,[],[f500,f342]) ).
fof(f500,plain,
( ! [X0] : disjoint(empty_set,X0)
| ~ spl15_9
| ~ spl15_39 ),
inference(resolution,[],[f476,f292]) ).
fof(f476,plain,
( ! [X0,X1] :
( in(sK6(X0,X1),X0)
| disjoint(X0,X1) )
| ~ spl15_39 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f1227,plain,
( spl15_96
| ~ spl15_11
| ~ spl15_31 ),
inference(avatar_split_clause,[],[f422,f411,f299,f1225]) ).
fof(f1225,plain,
( spl15_96
<=> ! [X0] : subset(sK14,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_96])]) ).
fof(f422,plain,
( ! [X0] : subset(sK14,X0)
| ~ spl15_11
| ~ spl15_31 ),
inference(superposition,[],[f300,f412]) ).
fof(f1180,plain,
( spl15_95
| ~ spl15_1
| ~ spl15_67 ),
inference(avatar_split_clause,[],[f757,f737,f255,f1177]) ).
fof(f255,plain,
( spl15_1
<=> disjoint(sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f737,plain,
( spl15_67
<=> ! [X0,X1] :
( set_difference(X0,set_difference(X0,X1)) = sK14
| ~ disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_67])]) ).
fof(f757,plain,
( sK14 = set_difference(sK3,set_difference(sK3,sK4))
| ~ spl15_1
| ~ spl15_67 ),
inference(resolution,[],[f738,f257]) ).
fof(f257,plain,
( disjoint(sK3,sK4)
| ~ spl15_1 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f738,plain,
( ! [X0,X1] :
( ~ disjoint(X0,X1)
| set_difference(X0,set_difference(X0,X1)) = sK14 )
| ~ spl15_67 ),
inference(avatar_component_clause,[],[f737]) ).
fof(f1170,plain,
( spl15_94
| ~ spl15_1
| ~ spl15_53 ),
inference(avatar_split_clause,[],[f611,f580,f255,f1168]) ).
fof(f580,plain,
( spl15_53
<=> ! [X2,X0,X1] :
( disjoint(X0,X2)
| ~ disjoint(X1,X2)
| ~ subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_53])]) ).
fof(f611,plain,
( ! [X0] :
( disjoint(X0,sK4)
| ~ subset(X0,sK3) )
| ~ spl15_1
| ~ spl15_53 ),
inference(resolution,[],[f581,f257]) ).
fof(f581,plain,
( ! [X2,X0,X1] :
( ~ disjoint(X1,X2)
| disjoint(X0,X2)
| ~ subset(X0,X1) )
| ~ spl15_53 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f1125,plain,
spl15_93,
inference(avatar_split_clause,[],[f229,f1123]) ).
fof(f1123,plain,
( spl15_93
<=> ! [X2,X0,X1] :
( sP2(X0,X1,X2)
| in(sK12(X0,X1,X2),X0)
| ~ in(sK12(X0,X1,X2),X1)
| ~ in(sK12(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_93])]) ).
fof(f229,plain,
! [X2,X0,X1] :
( sP2(X0,X1,X2)
| in(sK12(X0,X1,X2),X0)
| ~ in(sK12(X0,X1,X2),X1)
| ~ in(sK12(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ( ( in(sK12(X0,X1,X2),X0)
| ~ in(sK12(X0,X1,X2),X1)
| ~ in(sK12(X0,X1,X2),X2) )
& ( ( ~ in(sK12(X0,X1,X2),X0)
& in(sK12(X0,X1,X2),X1) )
| in(sK12(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| in(X4,X0)
| ~ in(X4,X1) )
& ( ( ~ in(X4,X0)
& in(X4,X1) )
| ~ in(X4,X2) ) )
| ~ sP2(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f139,f140]) ).
fof(f140,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( ~ in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) )
=> ( ( in(sK12(X0,X1,X2),X0)
| ~ in(sK12(X0,X1,X2),X1)
| ~ in(sK12(X0,X1,X2),X2) )
& ( ( ~ in(sK12(X0,X1,X2),X0)
& in(sK12(X0,X1,X2),X1) )
| in(sK12(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f139,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ? [X3] :
( ( in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( ~ in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| in(X4,X0)
| ~ in(X4,X1) )
& ( ( ~ in(X4,X0)
& in(X4,X1) )
| ~ in(X4,X2) ) )
| ~ sP2(X0,X1,X2) ) ),
inference(rectify,[],[f138]) ).
fof(f138,plain,
! [X1,X0,X2] :
( ( sP2(X1,X0,X2)
| ? [X3] :
( ( in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( ~ in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| in(X3,X1)
| ~ in(X3,X0) )
& ( ( ~ in(X3,X1)
& in(X3,X0) )
| ~ in(X3,X2) ) )
| ~ sP2(X1,X0,X2) ) ),
inference(flattening,[],[f137]) ).
fof(f137,plain,
! [X1,X0,X2] :
( ( sP2(X1,X0,X2)
| ? [X3] :
( ( in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( ~ in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| in(X3,X1)
| ~ in(X3,X0) )
& ( ( ~ in(X3,X1)
& in(X3,X0) )
| ~ in(X3,X2) ) )
| ~ sP2(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X1,X0,X2] :
( sP2(X1,X0,X2)
<=> ! [X3] :
( in(X3,X2)
<=> ( ~ in(X3,X1)
& in(X3,X0) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1121,plain,
spl15_92,
inference(avatar_split_clause,[],[f219,f1119]) ).
fof(f1119,plain,
( spl15_92
<=> ! [X2,X0,X1] :
( sP1(X0,X1,X2)
| in(sK11(X0,X1,X2),X0)
| in(sK11(X0,X1,X2),X1)
| in(sK11(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_92])]) ).
fof(f219,plain,
! [X2,X0,X1] :
( sP1(X0,X1,X2)
| in(sK11(X0,X1,X2),X0)
| in(sK11(X0,X1,X2),X1)
| in(sK11(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1,X2] :
( ( sP1(X0,X1,X2)
| ( ( ( ~ in(sK11(X0,X1,X2),X0)
& ~ in(sK11(X0,X1,X2),X1) )
| ~ in(sK11(X0,X1,X2),X2) )
& ( in(sK11(X0,X1,X2),X0)
| in(sK11(X0,X1,X2),X1)
| in(sK11(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( ~ in(X4,X0)
& ~ in(X4,X1) ) )
& ( in(X4,X0)
| in(X4,X1)
| ~ in(X4,X2) ) )
| ~ sP1(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f133,f134]) ).
fof(f134,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ( ~ in(X3,X0)
& ~ in(X3,X1) )
| ~ in(X3,X2) )
& ( in(X3,X0)
| in(X3,X1)
| in(X3,X2) ) )
=> ( ( ( ~ in(sK11(X0,X1,X2),X0)
& ~ in(sK11(X0,X1,X2),X1) )
| ~ in(sK11(X0,X1,X2),X2) )
& ( in(sK11(X0,X1,X2),X0)
| in(sK11(X0,X1,X2),X1)
| in(sK11(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
! [X0,X1,X2] :
( ( sP1(X0,X1,X2)
| ? [X3] :
( ( ( ~ in(X3,X0)
& ~ in(X3,X1) )
| ~ in(X3,X2) )
& ( in(X3,X0)
| in(X3,X1)
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( ~ in(X4,X0)
& ~ in(X4,X1) ) )
& ( in(X4,X0)
| in(X4,X1)
| ~ in(X4,X2) ) )
| ~ sP1(X0,X1,X2) ) ),
inference(rectify,[],[f132]) ).
fof(f132,plain,
! [X1,X0,X2] :
( ( sP1(X1,X0,X2)
| ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X1)
& ~ in(X3,X0) ) )
& ( in(X3,X1)
| in(X3,X0)
| ~ in(X3,X2) ) )
| ~ sP1(X1,X0,X2) ) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
! [X1,X0,X2] :
( ( sP1(X1,X0,X2)
| ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X1)
& ~ in(X3,X0) ) )
& ( in(X3,X1)
| in(X3,X0)
| ~ in(X3,X2) ) )
| ~ sP1(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X1,X0,X2] :
( sP1(X1,X0,X2)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
| in(X3,X0) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1117,plain,
spl15_91,
inference(avatar_split_clause,[],[f213,f1115]) ).
fof(f1115,plain,
( spl15_91
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ in(sK10(X0,X1,X2),X0)
| ~ in(sK10(X0,X1,X2),X1)
| ~ in(sK10(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_91])]) ).
fof(f213,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ in(sK10(X0,X1,X2),X0)
| ~ in(sK10(X0,X1,X2),X1)
| ~ in(sK10(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( ( ~ in(sK10(X0,X1,X2),X0)
| ~ in(sK10(X0,X1,X2),X1)
| ~ in(sK10(X0,X1,X2),X2) )
& ( ( in(sK10(X0,X1,X2),X0)
& in(sK10(X0,X1,X2),X1) )
| in(sK10(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1) )
& ( ( in(X4,X0)
& in(X4,X1) )
| ~ in(X4,X2) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f127,f128]) ).
fof(f128,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) )
=> ( ( ~ in(sK10(X0,X1,X2),X0)
| ~ in(sK10(X0,X1,X2),X1)
| ~ in(sK10(X0,X1,X2),X2) )
& ( ( in(sK10(X0,X1,X2),X0)
& in(sK10(X0,X1,X2),X1) )
| in(sK10(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1) )
& ( ( in(X4,X0)
& in(X4,X1) )
| ~ in(X4,X2) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f126]) ).
fof(f126,plain,
! [X1,X0,X2] :
( ( sP0(X1,X0,X2)
| ? [X3] :
( ( ~ in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X1)
| ~ in(X3,X0) )
& ( ( in(X3,X1)
& in(X3,X0) )
| ~ in(X3,X2) ) )
| ~ sP0(X1,X0,X2) ) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
! [X1,X0,X2] :
( ( sP0(X1,X0,X2)
| ? [X3] :
( ( ~ in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X1)
| ~ in(X3,X0) )
& ( ( in(X3,X1)
& in(X3,X0) )
| ~ in(X3,X2) ) )
| ~ sP0(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X1,X0,X2] :
( sP0(X1,X0,X2)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
& in(X3,X0) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1066,plain,
spl15_90,
inference(avatar_split_clause,[],[f228,f1064]) ).
fof(f1064,plain,
( spl15_90
<=> ! [X2,X0,X1] :
( sP2(X0,X1,X2)
| ~ in(sK12(X0,X1,X2),X0)
| in(sK12(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_90])]) ).
fof(f228,plain,
! [X2,X0,X1] :
( sP2(X0,X1,X2)
| ~ in(sK12(X0,X1,X2),X0)
| in(sK12(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f141]) ).
fof(f1062,plain,
spl15_89,
inference(avatar_split_clause,[],[f227,f1060]) ).
fof(f1060,plain,
( spl15_89
<=> ! [X2,X0,X1] :
( sP2(X0,X1,X2)
| in(sK12(X0,X1,X2),X1)
| in(sK12(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_89])]) ).
fof(f227,plain,
! [X2,X0,X1] :
( sP2(X0,X1,X2)
| in(sK12(X0,X1,X2),X1)
| in(sK12(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f141]) ).
fof(f1058,plain,
spl15_88,
inference(avatar_split_clause,[],[f221,f1056]) ).
fof(f1056,plain,
( spl15_88
<=> ! [X2,X0,X1] :
( sP1(X0,X1,X2)
| ~ in(sK11(X0,X1,X2),X0)
| ~ in(sK11(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_88])]) ).
fof(f221,plain,
! [X2,X0,X1] :
( sP1(X0,X1,X2)
| ~ in(sK11(X0,X1,X2),X0)
| ~ in(sK11(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f135]) ).
fof(f1054,plain,
spl15_87,
inference(avatar_split_clause,[],[f220,f1052]) ).
fof(f1052,plain,
( spl15_87
<=> ! [X2,X0,X1] :
( sP1(X0,X1,X2)
| ~ in(sK11(X0,X1,X2),X1)
| ~ in(sK11(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_87])]) ).
fof(f220,plain,
! [X2,X0,X1] :
( sP1(X0,X1,X2)
| ~ in(sK11(X0,X1,X2),X1)
| ~ in(sK11(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f135]) ).
fof(f1050,plain,
spl15_86,
inference(avatar_split_clause,[],[f212,f1048]) ).
fof(f1048,plain,
( spl15_86
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| in(sK10(X0,X1,X2),X0)
| in(sK10(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_86])]) ).
fof(f212,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| in(sK10(X0,X1,X2),X0)
| in(sK10(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f129]) ).
fof(f1046,plain,
spl15_85,
inference(avatar_split_clause,[],[f211,f1044]) ).
fof(f1044,plain,
( spl15_85
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| in(sK10(X0,X1,X2),X1)
| in(sK10(X0,X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_85])]) ).
fof(f211,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| in(sK10(X0,X1,X2),X1)
| in(sK10(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f129]) ).
fof(f996,plain,
spl15_84,
inference(avatar_split_clause,[],[f238,f994]) ).
fof(f994,plain,
( spl15_84
<=> ! [X2,X0,X1] :
( subset(set_difference(X0,set_difference(X0,X2)),set_difference(X1,set_difference(X1,X2)))
| ~ subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_84])]) ).
fof(f238,plain,
! [X2,X0,X1] :
( subset(set_difference(X0,set_difference(X0,X2)),set_difference(X1,set_difference(X1,X2)))
| ~ subset(X0,X1) ),
inference(definition_unfolding,[],[f170,f155,f155]) ).
fof(f155,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_difference(X0,set_difference(X0,X1)),
inference(cnf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0,X1] : set_intersection2(X0,X1) = set_difference(X0,set_difference(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t48_xboole_1) ).
fof(f170,plain,
! [X2,X0,X1] :
( subset(set_intersection2(X0,X2),set_intersection2(X1,X2))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1,X2] :
( subset(set_intersection2(X0,X2),set_intersection2(X1,X2))
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1,X2] :
( subset(X0,X1)
=> subset(set_intersection2(X0,X2),set_intersection2(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_xboole_1) ).
fof(f973,plain,
spl15_83,
inference(avatar_split_clause,[],[f226,f971]) ).
fof(f971,plain,
( spl15_83
<=> ! [X4,X0,X2,X1] :
( in(X4,X2)
| in(X4,X0)
| ~ in(X4,X1)
| ~ sP2(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_83])]) ).
fof(f226,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| in(X4,X0)
| ~ in(X4,X1)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f141]) ).
fof(f969,plain,
spl15_82,
inference(avatar_split_clause,[],[f216,f967]) ).
fof(f967,plain,
( spl15_82
<=> ! [X2,X4,X0,X1] :
( in(X4,X0)
| in(X4,X1)
| ~ in(X4,X2)
| ~ sP1(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_82])]) ).
fof(f216,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| in(X4,X1)
| ~ in(X4,X2)
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f135]) ).
fof(f965,plain,
spl15_81,
inference(avatar_split_clause,[],[f210,f963]) ).
fof(f963,plain,
( spl15_81
<=> ! [X4,X0,X2,X1] :
( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1)
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_81])]) ).
fof(f210,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f129]) ).
fof(f961,plain,
spl15_80,
inference(avatar_split_clause,[],[f196,f959]) ).
fof(f959,plain,
( spl15_80
<=> ! [X0,X1] :
( X0 = X1
| ~ in(sK8(X0,X1),X1)
| ~ in(sK8(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_80])]) ).
fof(f196,plain,
! [X0,X1] :
( X0 = X1
| ~ in(sK8(X0,X1),X1)
| ~ in(sK8(X0,X1),X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( X0 = X1
| ( ( ~ in(sK8(X0,X1),X1)
| ~ in(sK8(X0,X1),X0) )
& ( in(sK8(X0,X1),X1)
| in(sK8(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f115,f116]) ).
fof(f116,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ in(X2,X1)
| ~ in(X2,X0) )
& ( in(X2,X1)
| in(X2,X0) ) )
=> ( ( ~ in(sK8(X0,X1),X1)
| ~ in(sK8(X0,X1),X0) )
& ( in(sK8(X0,X1),X1)
| in(sK8(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ~ in(X2,X0) )
& ( in(X2,X1)
| in(X2,X0) ) ) ),
inference(nnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( in(X2,X0)
<~> in(X2,X1) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
<=> in(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tarski) ).
fof(f953,plain,
( spl15_1
| ~ spl15_26
| ~ spl15_55 ),
inference(avatar_split_clause,[],[f661,f613,f377,f255]) ).
fof(f377,plain,
( spl15_26
<=> ! [X0,X1] :
( disjoint(X1,X0)
| ~ disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_26])]) ).
fof(f613,plain,
( spl15_55
<=> disjoint(sK4,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_55])]) ).
fof(f661,plain,
( disjoint(sK3,sK4)
| ~ spl15_26
| ~ spl15_55 ),
inference(resolution,[],[f615,f378]) ).
fof(f378,plain,
( ! [X0,X1] :
( ~ disjoint(X0,X1)
| disjoint(X1,X0) )
| ~ spl15_26 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f615,plain,
( disjoint(sK4,sK3)
| ~ spl15_55 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f952,plain,
spl15_79,
inference(avatar_split_clause,[],[f195,f950]) ).
fof(f950,plain,
( spl15_79
<=> ! [X0,X1] :
( X0 = X1
| in(sK8(X0,X1),X1)
| in(sK8(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_79])]) ).
fof(f195,plain,
! [X0,X1] :
( X0 = X1
| in(sK8(X0,X1),X1)
| in(sK8(X0,X1),X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f925,plain,
spl15_78,
inference(avatar_split_clause,[],[f239,f923]) ).
fof(f923,plain,
( spl15_78
<=> ! [X2,X0,X1] :
( subset(X0,set_difference(X1,set_difference(X1,X2)))
| ~ subset(X0,X2)
| ~ subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_78])]) ).
fof(f239,plain,
! [X2,X0,X1] :
( subset(X0,set_difference(X1,set_difference(X1,X2)))
| ~ subset(X0,X2)
| ~ subset(X0,X1) ),
inference(definition_unfolding,[],[f174,f155]) ).
fof(f174,plain,
! [X2,X0,X1] :
( subset(X0,set_intersection2(X1,X2))
| ~ subset(X0,X2)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1,X2] :
( subset(X0,set_intersection2(X1,X2))
| ~ subset(X0,X2)
| ~ subset(X0,X1) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0,X1,X2] :
( subset(X0,set_intersection2(X1,X2))
| ~ subset(X0,X2)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0,X1,X2] :
( ( subset(X0,X2)
& subset(X0,X1) )
=> subset(X0,set_intersection2(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_xboole_1) ).
fof(f899,plain,
spl15_77,
inference(avatar_split_clause,[],[f236,f897]) ).
fof(f897,plain,
( spl15_77
<=> ! [X0,X1] :
( in(sK5(X0,X1),set_difference(X0,set_difference(X0,X1)))
| disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_77])]) ).
fof(f236,plain,
! [X0,X1] :
( in(sK5(X0,X1),set_difference(X0,set_difference(X0,X1)))
| disjoint(X0,X1) ),
inference(definition_unfolding,[],[f157,f155]) ).
fof(f157,plain,
! [X0,X1] :
( in(sK5(X0,X1),set_intersection2(X0,X1))
| disjoint(X0,X1) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( ( ~ disjoint(X0,X1)
| ! [X2] : ~ in(X2,set_intersection2(X0,X1)) )
& ( in(sK5(X0,X1),set_intersection2(X0,X1))
| disjoint(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f68,f105]) ).
fof(f105,plain,
! [X0,X1] :
( ? [X3] : in(X3,set_intersection2(X0,X1))
=> in(sK5(X0,X1),set_intersection2(X0,X1)) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0,X1] :
( ( ~ disjoint(X0,X1)
| ! [X2] : ~ in(X2,set_intersection2(X0,X1)) )
& ( ? [X3] : in(X3,set_intersection2(X0,X1))
| disjoint(X0,X1) ) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ~ ( disjoint(X0,X1)
& ? [X2] : in(X2,set_intersection2(X0,X1)) )
& ~ ( ! [X3] : ~ in(X3,set_intersection2(X0,X1))
& ~ disjoint(X0,X1) ) ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X0,X1] :
( ~ ( disjoint(X0,X1)
& ? [X2] : in(X2,set_intersection2(X0,X1)) )
& ~ ( ! [X2] : ~ in(X2,set_intersection2(X0,X1))
& ~ disjoint(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_xboole_0) ).
fof(f821,plain,
spl15_76,
inference(avatar_split_clause,[],[f245,f819]) ).
fof(f819,plain,
( spl15_76
<=> ! [X2,X0,X1] :
( set_difference(X0,set_difference(X0,X1)) = X2
| ~ sP0(X1,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_76])]) ).
fof(f245,plain,
! [X2,X0,X1] :
( set_difference(X0,set_difference(X0,X1)) = X2
| ~ sP0(X1,X0,X2) ),
inference(definition_unfolding,[],[f215,f155]) ).
fof(f215,plain,
! [X2,X0,X1] :
( set_intersection2(X0,X1) = X2
| ~ sP0(X1,X0,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1,X2] :
( ( set_intersection2(X0,X1) = X2
| ~ sP0(X1,X0,X2) )
& ( sP0(X1,X0,X2)
| set_intersection2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1,X2] :
( set_intersection2(X0,X1) = X2
<=> sP0(X1,X0,X2) ),
inference(definition_folding,[],[f9,f96]) ).
fof(f9,axiom,
! [X0,X1,X2] :
( set_intersection2(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
& in(X3,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f817,plain,
( spl15_1
| ~ spl15_2
| ~ spl15_31
| ~ spl15_66 ),
inference(avatar_split_clause,[],[f801,f733,f411,f259,f255]) ).
fof(f733,plain,
( spl15_66
<=> ! [X0,X1] :
( set_difference(X0,set_difference(X0,X1)) != sK14
| disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_66])]) ).
fof(f801,plain,
( disjoint(sK3,sK4)
| ~ spl15_2
| ~ spl15_31
| ~ spl15_66 ),
inference(trivial_inequality_removal,[],[f800]) ).
fof(f800,plain,
( sK14 != sK14
| disjoint(sK3,sK4)
| ~ spl15_2
| ~ spl15_31
| ~ spl15_66 ),
inference(forward_demodulation,[],[f795,f412]) ).
fof(f795,plain,
( sK14 != set_difference(sK3,sK3)
| disjoint(sK3,sK4)
| ~ spl15_2
| ~ spl15_66 ),
inference(superposition,[],[f734,f261]) ).
fof(f261,plain,
( sK3 = set_difference(sK3,sK4)
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f734,plain,
( ! [X0,X1] :
( set_difference(X0,set_difference(X0,X1)) != sK14
| disjoint(X0,X1) )
| ~ spl15_66 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f816,plain,
spl15_75,
inference(avatar_split_clause,[],[f242,f814]) ).
fof(f814,plain,
( spl15_75
<=> ! [X0,X1] : set_difference(X0,set_difference(X0,X1)) = set_difference(X1,set_difference(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_75])]) ).
fof(f242,plain,
! [X0,X1] : set_difference(X0,set_difference(X0,X1)) = set_difference(X1,set_difference(X1,X0)),
inference(definition_unfolding,[],[f189,f155,f155]) ).
fof(f189,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f812,plain,
spl15_74,
inference(avatar_split_clause,[],[f175,f810]) ).
fof(f810,plain,
( spl15_74
<=> ! [X2,X0,X1] :
( subset(set_union2(X0,X2),X1)
| ~ subset(X2,X1)
| ~ subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_74])]) ).
fof(f175,plain,
! [X2,X0,X1] :
( subset(set_union2(X0,X2),X1)
| ~ subset(X2,X1)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1,X2] :
( subset(set_union2(X0,X2),X1)
| ~ subset(X2,X1)
| ~ subset(X0,X1) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0,X1,X2] :
( subset(set_union2(X0,X2),X1)
| ~ subset(X2,X1)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0,X1,X2] :
( ( subset(X2,X1)
& subset(X0,X1) )
=> subset(set_union2(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_xboole_1) ).
fof(f799,plain,
( ~ spl15_1
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f148,f259,f255]) ).
fof(f148,plain,
( sK3 != set_difference(sK3,sK4)
| ~ disjoint(sK3,sK4) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
( ( sK3 != set_difference(sK3,sK4)
| ~ disjoint(sK3,sK4) )
& ( sK3 = set_difference(sK3,sK4)
| disjoint(sK3,sK4) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f102,f103]) ).
fof(f103,plain,
( ? [X0,X1] :
( ( set_difference(X0,X1) != X0
| ~ disjoint(X0,X1) )
& ( set_difference(X0,X1) = X0
| disjoint(X0,X1) ) )
=> ( ( sK3 != set_difference(sK3,sK4)
| ~ disjoint(sK3,sK4) )
& ( sK3 = set_difference(sK3,sK4)
| disjoint(sK3,sK4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
? [X0,X1] :
( ( set_difference(X0,X1) != X0
| ~ disjoint(X0,X1) )
& ( set_difference(X0,X1) = X0
| disjoint(X0,X1) ) ),
inference(nnf_transformation,[],[f66]) ).
fof(f66,plain,
? [X0,X1] :
( disjoint(X0,X1)
<~> set_difference(X0,X1) = X0 ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,negated_conjecture,
~ ! [X0,X1] :
( disjoint(X0,X1)
<=> set_difference(X0,X1) = X0 ),
inference(negated_conjecture,[],[f55]) ).
fof(f55,conjecture,
! [X0,X1] :
( disjoint(X0,X1)
<=> set_difference(X0,X1) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t83_xboole_1) ).
fof(f785,plain,
( spl15_2
| ~ spl15_32
| ~ spl15_60 ),
inference(avatar_split_clause,[],[f663,f639,f415,f259]) ).
fof(f415,plain,
( spl15_32
<=> sP2(sK4,sK3,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_32])]) ).
fof(f639,plain,
( spl15_60
<=> ! [X2,X0,X1] :
( set_difference(X0,X1) = X2
| ~ sP2(X1,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_60])]) ).
fof(f663,plain,
( sK3 = set_difference(sK3,sK4)
| ~ spl15_32
| ~ spl15_60 ),
inference(resolution,[],[f640,f417]) ).
fof(f417,plain,
( sP2(sK4,sK3,sK3)
| ~ spl15_32 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f640,plain,
( ! [X2,X0,X1] :
( ~ sP2(X1,X0,X2)
| set_difference(X0,X1) = X2 )
| ~ spl15_60 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f783,plain,
spl15_73,
inference(avatar_split_clause,[],[f225,f781]) ).
fof(f781,plain,
( spl15_73
<=> ! [X4,X0,X2,X1] :
( ~ in(X4,X0)
| ~ in(X4,X2)
| ~ sP2(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_73])]) ).
fof(f225,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,X0)
| ~ in(X4,X2)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f141]) ).
fof(f779,plain,
spl15_72,
inference(avatar_split_clause,[],[f224,f777]) ).
fof(f777,plain,
( spl15_72
<=> ! [X4,X0,X1,X2] :
( in(X4,X1)
| ~ in(X4,X2)
| ~ sP2(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_72])]) ).
fof(f224,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| ~ in(X4,X2)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f141]) ).
fof(f775,plain,
spl15_71,
inference(avatar_split_clause,[],[f218,f773]) ).
fof(f773,plain,
( spl15_71
<=> ! [X4,X0,X2,X1] :
( in(X4,X2)
| ~ in(X4,X0)
| ~ sP1(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_71])]) ).
fof(f218,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f135]) ).
fof(f771,plain,
spl15_70,
inference(avatar_split_clause,[],[f217,f769]) ).
fof(f769,plain,
( spl15_70
<=> ! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X1)
| ~ sP1(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_70])]) ).
fof(f217,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X1)
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f135]) ).
fof(f767,plain,
spl15_69,
inference(avatar_split_clause,[],[f209,f765]) ).
fof(f765,plain,
( spl15_69
<=> ! [X4,X0,X2,X1] :
( in(X4,X0)
| ~ in(X4,X2)
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_69])]) ).
fof(f209,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f129]) ).
fof(f763,plain,
spl15_68,
inference(avatar_split_clause,[],[f208,f761]) ).
fof(f761,plain,
( spl15_68
<=> ! [X4,X0,X1,X2] :
( in(X4,X1)
| ~ in(X4,X2)
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_68])]) ).
fof(f208,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| ~ in(X4,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f129]) ).
fof(f739,plain,
( spl15_67
| ~ spl15_19
| ~ spl15_65 ),
inference(avatar_split_clause,[],[f685,f682,f340,f737]) ).
fof(f682,plain,
( spl15_65
<=> ! [X0,X1] :
( empty_set = set_difference(X0,set_difference(X0,X1))
| ~ disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_65])]) ).
fof(f685,plain,
( ! [X0,X1] :
( set_difference(X0,set_difference(X0,X1)) = sK14
| ~ disjoint(X0,X1) )
| ~ spl15_19
| ~ spl15_65 ),
inference(forward_demodulation,[],[f683,f342]) ).
fof(f683,plain,
( ! [X0,X1] :
( empty_set = set_difference(X0,set_difference(X0,X1))
| ~ disjoint(X0,X1) )
| ~ spl15_65 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f735,plain,
( spl15_66
| ~ spl15_19
| ~ spl15_64 ),
inference(avatar_split_clause,[],[f680,f677,f340,f733]) ).
fof(f677,plain,
( spl15_64
<=> ! [X0,X1] :
( disjoint(X0,X1)
| empty_set != set_difference(X0,set_difference(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_64])]) ).
fof(f680,plain,
( ! [X0,X1] :
( set_difference(X0,set_difference(X0,X1)) != sK14
| disjoint(X0,X1) )
| ~ spl15_19
| ~ spl15_64 ),
inference(forward_demodulation,[],[f678,f342]) ).
fof(f678,plain,
( ! [X0,X1] :
( disjoint(X0,X1)
| empty_set != set_difference(X0,set_difference(X0,X1)) )
| ~ spl15_64 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f684,plain,
spl15_65,
inference(avatar_split_clause,[],[f244,f682]) ).
fof(f244,plain,
! [X0,X1] :
( empty_set = set_difference(X0,set_difference(X0,X1))
| ~ disjoint(X0,X1) ),
inference(definition_unfolding,[],[f201,f155]) ).
fof(f201,plain,
! [X0,X1] :
( set_intersection2(X0,X1) = empty_set
| ~ disjoint(X0,X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1] :
( ( disjoint(X0,X1)
| set_intersection2(X0,X1) != empty_set )
& ( set_intersection2(X0,X1) = empty_set
| ~ disjoint(X0,X1) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( disjoint(X0,X1)
<=> set_intersection2(X0,X1) = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_xboole_0) ).
fof(f679,plain,
spl15_64,
inference(avatar_split_clause,[],[f243,f677]) ).
fof(f243,plain,
! [X0,X1] :
( disjoint(X0,X1)
| empty_set != set_difference(X0,set_difference(X0,X1)) ),
inference(definition_unfolding,[],[f202,f155]) ).
fof(f202,plain,
! [X0,X1] :
( disjoint(X0,X1)
| set_intersection2(X0,X1) != empty_set ),
inference(cnf_transformation,[],[f120]) ).
fof(f675,plain,
spl15_63,
inference(avatar_split_clause,[],[f237,f673]) ).
fof(f673,plain,
( spl15_63
<=> ! [X0,X1] :
( set_difference(X0,set_difference(X0,X1)) = X0
| ~ subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_63])]) ).
fof(f237,plain,
! [X0,X1] :
( set_difference(X0,set_difference(X0,X1)) = X0
| ~ subset(X0,X1) ),
inference(definition_unfolding,[],[f162,f155]) ).
fof(f162,plain,
! [X0,X1] :
( set_intersection2(X0,X1) = X0
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( set_intersection2(X0,X1) = X0
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( subset(X0,X1)
=> set_intersection2(X0,X1) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_xboole_1) ).
fof(f671,plain,
spl15_62,
inference(avatar_split_clause,[],[f235,f669]) ).
fof(f669,plain,
( spl15_62
<=> ! [X2,X0,X1] :
( ~ disjoint(X0,X1)
| ~ in(X2,set_difference(X0,set_difference(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_62])]) ).
fof(f235,plain,
! [X2,X0,X1] :
( ~ disjoint(X0,X1)
| ~ in(X2,set_difference(X0,set_difference(X0,X1))) ),
inference(definition_unfolding,[],[f158,f155]) ).
fof(f158,plain,
! [X2,X0,X1] :
( ~ disjoint(X0,X1)
| ~ in(X2,set_intersection2(X0,X1)) ),
inference(cnf_transformation,[],[f106]) ).
fof(f667,plain,
spl15_61,
inference(avatar_split_clause,[],[f171,f665]) ).
fof(f665,plain,
( spl15_61
<=> ! [X2,X0,X1] :
( subset(set_difference(X0,X2),set_difference(X1,X2))
| ~ subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_61])]) ).
fof(f171,plain,
! [X2,X0,X1] :
( subset(set_difference(X0,X2),set_difference(X1,X2))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1,X2] :
( subset(set_difference(X0,X2),set_difference(X1,X2))
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0,X1,X2] :
( subset(X0,X1)
=> subset(set_difference(X0,X2),set_difference(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_xboole_1) ).
fof(f641,plain,
spl15_60,
inference(avatar_split_clause,[],[f231,f639]) ).
fof(f231,plain,
! [X2,X0,X1] :
( set_difference(X0,X1) = X2
| ~ sP2(X1,X0,X2) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0,X1,X2] :
( ( set_difference(X0,X1) = X2
| ~ sP2(X1,X0,X2) )
& ( sP2(X1,X0,X2)
| set_difference(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2] :
( set_difference(X0,X1) = X2
<=> sP2(X1,X0,X2) ),
inference(definition_folding,[],[f10,f100]) ).
fof(f10,axiom,
! [X0,X1,X2] :
( set_difference(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( ~ in(X3,X1)
& in(X3,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f637,plain,
spl15_59,
inference(avatar_split_clause,[],[f223,f635]) ).
fof(f635,plain,
( spl15_59
<=> ! [X2,X0,X1] :
( set_union2(X0,X1) = X2
| ~ sP1(X1,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_59])]) ).
fof(f223,plain,
! [X2,X0,X1] :
( set_union2(X0,X1) = X2
| ~ sP1(X1,X0,X2) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ~ sP1(X1,X0,X2) )
& ( sP1(X1,X0,X2)
| set_union2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1,X2] :
( set_union2(X0,X1) = X2
<=> sP1(X1,X0,X2) ),
inference(definition_folding,[],[f7,f98]) ).
fof(f7,axiom,
! [X0,X1,X2] :
( set_union2(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
| in(X3,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(f633,plain,
spl15_58,
inference(avatar_split_clause,[],[f203,f631]) ).
fof(f631,plain,
( spl15_58
<=> ! [X0,X1,X3] :
( in(X3,X1)
| ~ in(X3,X0)
| ~ subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_58])]) ).
fof(f203,plain,
! [X3,X0,X1] :
( in(X3,X1)
| ~ in(X3,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK9(X0,X1),X1)
& in(sK9(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f122,f123]) ).
fof(f123,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK9(X0,X1),X1)
& in(sK9(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f121]) ).
fof(f121,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f629,plain,
spl15_57,
inference(avatar_split_clause,[],[f200,f627]) ).
fof(f627,plain,
( spl15_57
<=> ! [X0,X1] :
( proper_subset(X0,X1)
| X0 = X1
| ~ subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_57])]) ).
fof(f200,plain,
! [X0,X1] :
( proper_subset(X0,X1)
| X0 = X1
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( proper_subset(X0,X1)
| X0 = X1
| ~ subset(X0,X1) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( proper_subset(X0,X1)
| X0 = X1
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( ( X0 != X1
& subset(X0,X1) )
=> proper_subset(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( proper_subset(X0,X1)
<=> ( X0 != X1
& subset(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_xboole_0) ).
fof(f625,plain,
spl15_56,
inference(avatar_split_clause,[],[f199,f623]) ).
fof(f623,plain,
( spl15_56
<=> ! [X0,X1] :
( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_56])]) ).
fof(f199,plain,
! [X0,X1] :
( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(flattening,[],[f118]) ).
fof(f118,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f616,plain,
( spl15_55
| ~ spl15_1
| ~ spl15_26 ),
inference(avatar_split_clause,[],[f570,f377,f255,f613]) ).
fof(f570,plain,
( disjoint(sK4,sK3)
| ~ spl15_1
| ~ spl15_26 ),
inference(resolution,[],[f257,f378]) ).
fof(f586,plain,
spl15_54,
inference(avatar_split_clause,[],[f173,f584]) ).
fof(f584,plain,
( spl15_54
<=> ! [X2,X0,X1] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_54])]) ).
fof(f173,plain,
! [X2,X0,X1] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1,X2] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f582,plain,
spl15_53,
inference(avatar_split_clause,[],[f172,f580]) ).
fof(f172,plain,
! [X2,X0,X1] :
( disjoint(X0,X2)
| ~ disjoint(X1,X2)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1,X2] :
( disjoint(X0,X2)
| ~ disjoint(X1,X2)
| ~ subset(X0,X1) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X0,X1,X2] :
( disjoint(X0,X2)
| ~ disjoint(X1,X2)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0,X1,X2] :
( ( disjoint(X1,X2)
& subset(X0,X1) )
=> disjoint(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_xboole_1) ).
fof(f578,plain,
spl15_52,
inference(avatar_split_clause,[],[f161,f576]) ).
fof(f576,plain,
( spl15_52
<=> ! [X2,X0,X1] :
( ~ disjoint(X0,X1)
| ~ in(X2,X1)
| ~ in(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_52])]) ).
fof(f161,plain,
! [X2,X0,X1] :
( ~ disjoint(X0,X1)
| ~ in(X2,X1)
| ~ in(X2,X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( ( ~ disjoint(X0,X1)
| ! [X2] :
( ~ in(X2,X1)
| ~ in(X2,X0) ) )
& ( ( in(sK6(X0,X1),X1)
& in(sK6(X0,X1),X0) )
| disjoint(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f69,f107]) ).
fof(f107,plain,
! [X0,X1] :
( ? [X3] :
( in(X3,X1)
& in(X3,X0) )
=> ( in(sK6(X0,X1),X1)
& in(sK6(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X0,X1] :
( ( ~ disjoint(X0,X1)
| ! [X2] :
( ~ in(X2,X1)
| ~ in(X2,X0) ) )
& ( ? [X3] :
( in(X3,X1)
& in(X3,X0) )
| disjoint(X0,X1) ) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( ~ ( disjoint(X0,X1)
& ? [X2] :
( in(X2,X1)
& in(X2,X0) ) )
& ~ ( ! [X3] :
~ ( in(X3,X1)
& in(X3,X0) )
& ~ disjoint(X0,X1) ) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X0,X1] :
( ~ ( disjoint(X0,X1)
& ? [X2] :
( in(X2,X1)
& in(X2,X0) ) )
& ~ ( ! [X2] :
~ ( in(X2,X1)
& in(X2,X0) )
& ~ disjoint(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_xboole_0) ).
fof(f574,plain,
spl15_51,
inference(avatar_split_clause,[],[f156,f572]) ).
fof(f572,plain,
( spl15_51
<=> ! [X0,X1] : set_difference(X0,X1) = set_difference(set_union2(X0,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_51])]) ).
fof(f156,plain,
! [X0,X1] : set_difference(X0,X1) = set_difference(set_union2(X0,X1),X1),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0,X1] : set_difference(X0,X1) = set_difference(set_union2(X0,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_xboole_1) ).
fof(f569,plain,
( spl15_50
| ~ spl15_2
| ~ spl15_31
| ~ spl15_44 ),
inference(avatar_split_clause,[],[f527,f497,f411,f259,f566]) ).
fof(f566,plain,
( spl15_50
<=> sP0(sK4,sK3,sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_50])]) ).
fof(f527,plain,
( sP0(sK4,sK3,sK14)
| ~ spl15_2
| ~ spl15_31
| ~ spl15_44 ),
inference(forward_demodulation,[],[f521,f412]) ).
fof(f521,plain,
( sP0(sK4,sK3,set_difference(sK3,sK3))
| ~ spl15_2
| ~ spl15_44 ),
inference(superposition,[],[f498,f261]) ).
fof(f564,plain,
spl15_49,
inference(avatar_split_clause,[],[f154,f562]) ).
fof(f154,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X0,set_difference(X1,X0)),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0,X1] : set_union2(X0,X1) = set_union2(X0,set_difference(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_xboole_1) ).
fof(f555,plain,
spl15_48,
inference(avatar_split_clause,[],[f205,f553]) ).
fof(f553,plain,
( spl15_48
<=> ! [X0,X1] :
( subset(X0,X1)
| ~ in(sK9(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_48])]) ).
fof(f205,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sK9(X0,X1),X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f551,plain,
spl15_47,
inference(avatar_split_clause,[],[f204,f549]) ).
fof(f549,plain,
( spl15_47
<=> ! [X0,X1] :
( subset(X0,X1)
| in(sK9(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_47])]) ).
fof(f204,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK9(X0,X1),X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f520,plain,
( spl15_46
| ~ spl15_19
| ~ spl15_43 ),
inference(avatar_split_clause,[],[f495,f492,f340,f518]) ).
fof(f518,plain,
( spl15_46
<=> ! [X0,X1] :
( set_difference(X0,X1) = sK14
| ~ subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_46])]) ).
fof(f492,plain,
( spl15_43
<=> ! [X0,X1] :
( empty_set = set_difference(X0,X1)
| ~ subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_43])]) ).
fof(f495,plain,
( ! [X0,X1] :
( set_difference(X0,X1) = sK14
| ~ subset(X0,X1) )
| ~ spl15_19
| ~ spl15_43 ),
inference(forward_demodulation,[],[f493,f342]) ).
fof(f493,plain,
( ! [X0,X1] :
( empty_set = set_difference(X0,X1)
| ~ subset(X0,X1) )
| ~ spl15_43 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f516,plain,
( spl15_45
| ~ spl15_19
| ~ spl15_42 ),
inference(avatar_split_clause,[],[f490,f487,f340,f514]) ).
fof(f487,plain,
( spl15_42
<=> ! [X0,X1] :
( subset(X0,X1)
| empty_set != set_difference(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_42])]) ).
fof(f490,plain,
( ! [X0,X1] :
( set_difference(X0,X1) != sK14
| subset(X0,X1) )
| ~ spl15_19
| ~ spl15_42 ),
inference(forward_demodulation,[],[f488,f342]) ).
fof(f488,plain,
( ! [X0,X1] :
( subset(X0,X1)
| empty_set != set_difference(X0,X1) )
| ~ spl15_42 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f499,plain,
spl15_44,
inference(avatar_split_clause,[],[f250,f497]) ).
fof(f250,plain,
! [X0,X1] : sP0(X1,X0,set_difference(X0,set_difference(X0,X1))),
inference(equality_resolution,[],[f246]) ).
fof(f246,plain,
! [X2,X0,X1] :
( sP0(X1,X0,X2)
| set_difference(X0,set_difference(X0,X1)) != X2 ),
inference(definition_unfolding,[],[f214,f155]) ).
fof(f214,plain,
! [X2,X0,X1] :
( sP0(X1,X0,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f130]) ).
fof(f494,plain,
spl15_43,
inference(avatar_split_clause,[],[f166,f492]) ).
fof(f166,plain,
! [X0,X1] :
( empty_set = set_difference(X0,X1)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( ( empty_set = set_difference(X0,X1)
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| empty_set != set_difference(X0,X1) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0,X1] :
( empty_set = set_difference(X0,X1)
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_xboole_1) ).
fof(f489,plain,
spl15_42,
inference(avatar_split_clause,[],[f165,f487]) ).
fof(f165,plain,
! [X0,X1] :
( subset(X0,X1)
| empty_set != set_difference(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f485,plain,
spl15_41,
inference(avatar_split_clause,[],[f163,f483]) ).
fof(f163,plain,
! [X0,X1] :
( set_union2(X0,X1) = X1
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( set_union2(X0,X1) = X1
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0,X1] :
( subset(X0,X1)
=> set_union2(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_xboole_1) ).
fof(f481,plain,
spl15_40,
inference(avatar_split_clause,[],[f160,f479]) ).
fof(f160,plain,
! [X0,X1] :
( in(sK6(X0,X1),X1)
| disjoint(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f477,plain,
spl15_39,
inference(avatar_split_clause,[],[f159,f475]) ).
fof(f159,plain,
! [X0,X1] :
( in(sK6(X0,X1),X0)
| disjoint(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f452,plain,
( spl15_38
| ~ spl15_19
| ~ spl15_35 ),
inference(avatar_split_clause,[],[f440,f437,f340,f450]) ).
fof(f450,plain,
( spl15_38
<=> ! [X0] :
( sK14 = X0
| in(sK7(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_38])]) ).
fof(f437,plain,
( spl15_35
<=> ! [X0] :
( empty_set = X0
| in(sK7(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_35])]) ).
fof(f440,plain,
( ! [X0] :
( sK14 = X0
| in(sK7(X0),X0) )
| ~ spl15_19
| ~ spl15_35 ),
inference(forward_demodulation,[],[f438,f342]) ).
fof(f438,plain,
( ! [X0] :
( empty_set = X0
| in(sK7(X0),X0) )
| ~ spl15_35 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f448,plain,
spl15_37,
inference(avatar_split_clause,[],[f206,f446]) ).
fof(f446,plain,
( spl15_37
<=> ! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_37])]) ).
fof(f206,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0,X1] :
~ ( empty(X1)
& X0 != X1
& empty(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(f444,plain,
spl15_36,
inference(avatar_split_clause,[],[f188,f442]) ).
fof(f188,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f439,plain,
spl15_35,
inference(avatar_split_clause,[],[f183,f437]) ).
fof(f183,plain,
! [X0] :
( empty_set = X0
| in(sK7(X0),X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ( empty_set = X0
| in(sK7(X0),X0) )
& ( ! [X2] : ~ in(X2,X0)
| empty_set != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f112,f113]) ).
fof(f113,plain,
! [X0] :
( ? [X1] : in(X1,X0)
=> in(sK7(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
! [X0] :
( ( empty_set = X0
| ? [X1] : in(X1,X0) )
& ( ! [X2] : ~ in(X2,X0)
| empty_set != X0 ) ),
inference(rectify,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ( empty_set = X0
| ? [X1] : in(X1,X0) )
& ( ! [X1] : ~ in(X1,X0)
| empty_set != X0 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( empty_set = X0
<=> ! [X1] : ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0) ).
fof(f433,plain,
( spl15_34
| ~ spl15_31
| ~ spl15_33 ),
inference(avatar_split_clause,[],[f429,f426,f411,f431]) ).
fof(f426,plain,
( spl15_33
<=> ! [X0] : set_difference(X0,set_difference(X0,X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_33])]) ).
fof(f429,plain,
( ! [X0] : set_difference(X0,sK14) = X0
| ~ spl15_31
| ~ spl15_33 ),
inference(forward_demodulation,[],[f427,f412]) ).
fof(f427,plain,
( ! [X0] : set_difference(X0,set_difference(X0,X0)) = X0
| ~ spl15_33 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f428,plain,
spl15_33,
inference(avatar_split_clause,[],[f241,f426]) ).
fof(f241,plain,
! [X0] : set_difference(X0,set_difference(X0,X0)) = X0,
inference(definition_unfolding,[],[f186,f155]) ).
fof(f186,plain,
! [X0] : set_intersection2(X0,X0) = X0,
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] : set_intersection2(X0,X0) = X0,
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X0,X1] : set_intersection2(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).
fof(f418,plain,
( spl15_32
| ~ spl15_2
| ~ spl15_29 ),
inference(avatar_split_clause,[],[f399,f389,f259,f415]) ).
fof(f399,plain,
( sP2(sK4,sK3,sK3)
| ~ spl15_2
| ~ spl15_29 ),
inference(superposition,[],[f390,f261]) ).
fof(f413,plain,
( spl15_31
| ~ spl15_14
| ~ spl15_19
| ~ spl15_30 ),
inference(avatar_split_clause,[],[f409,f405,f340,f312,f411]) ).
fof(f405,plain,
( spl15_30
<=> ! [X0] : empty_set = set_difference(X0,set_difference(X0,empty_set)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_30])]) ).
fof(f409,plain,
( ! [X0] : sK14 = set_difference(X0,X0)
| ~ spl15_14
| ~ spl15_19
| ~ spl15_30 ),
inference(forward_demodulation,[],[f408,f342]) ).
fof(f408,plain,
( ! [X0] : empty_set = set_difference(X0,X0)
| ~ spl15_14
| ~ spl15_30 ),
inference(forward_demodulation,[],[f406,f313]) ).
fof(f406,plain,
( ! [X0] : empty_set = set_difference(X0,set_difference(X0,empty_set))
| ~ spl15_30 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f407,plain,
spl15_30,
inference(avatar_split_clause,[],[f240,f405]) ).
fof(f240,plain,
! [X0] : empty_set = set_difference(X0,set_difference(X0,empty_set)),
inference(definition_unfolding,[],[f177,f155]) ).
fof(f177,plain,
! [X0] : empty_set = set_intersection2(X0,empty_set),
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] : empty_set = set_intersection2(X0,empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_boole) ).
fof(f391,plain,
spl15_29,
inference(avatar_split_clause,[],[f252,f389]) ).
fof(f252,plain,
! [X0,X1] : sP2(X1,X0,set_difference(X0,X1)),
inference(equality_resolution,[],[f230]) ).
fof(f230,plain,
! [X2,X0,X1] :
( sP2(X1,X0,X2)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f142]) ).
fof(f387,plain,
( spl15_28
| ~ spl15_6
| ~ spl15_19
| ~ spl15_20 ),
inference(avatar_split_clause,[],[f356,f345,f340,f279,f385]) ).
fof(f385,plain,
( spl15_28
<=> ! [X0] : ~ proper_subset(X0,sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_28])]) ).
fof(f279,plain,
( spl15_6
<=> ! [X0] : subset(empty_set,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).
fof(f356,plain,
( ! [X0] : ~ proper_subset(X0,sK14)
| ~ spl15_6
| ~ spl15_19
| ~ spl15_20 ),
inference(forward_demodulation,[],[f352,f342]) ).
fof(f352,plain,
( ! [X0] : ~ proper_subset(X0,empty_set)
| ~ spl15_6
| ~ spl15_20 ),
inference(resolution,[],[f346,f280]) ).
fof(f280,plain,
( ! [X0] : subset(empty_set,X0)
| ~ spl15_6 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f383,plain,
spl15_27,
inference(avatar_split_clause,[],[f251,f381]) ).
fof(f251,plain,
! [X0,X1] : sP1(X1,X0,set_union2(X0,X1)),
inference(equality_resolution,[],[f222]) ).
fof(f222,plain,
! [X2,X0,X1] :
( sP1(X1,X0,X2)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f136]) ).
fof(f379,plain,
spl15_26,
inference(avatar_split_clause,[],[f194,f377]) ).
fof(f194,plain,
! [X0,X1] :
( disjoint(X1,X0)
| ~ disjoint(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( disjoint(X1,X0)
| ~ disjoint(X0,X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0,X1] :
( disjoint(X0,X1)
=> disjoint(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r1_xboole_0) ).
fof(f375,plain,
spl15_25,
inference(avatar_split_clause,[],[f193,f373]) ).
fof(f373,plain,
( spl15_25
<=> ! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_25])]) ).
fof(f193,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,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(f371,plain,
spl15_24,
inference(avatar_split_clause,[],[f192,f369]) ).
fof(f369,plain,
( spl15_24
<=> ! [X0,X1] :
( ~ proper_subset(X1,X0)
| ~ proper_subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_24])]) ).
fof(f192,plain,
! [X0,X1] :
( ~ proper_subset(X1,X0)
| ~ proper_subset(X0,X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( ~ proper_subset(X1,X0)
| ~ proper_subset(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( proper_subset(X0,X1)
=> ~ proper_subset(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_xboole_0) ).
fof(f367,plain,
spl15_23,
inference(avatar_split_clause,[],[f191,f365]) ).
fof(f365,plain,
( spl15_23
<=> ! [X0,X1] :
( ~ empty(set_union2(X1,X0))
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_23])]) ).
fof(f191,plain,
! [X0,X1] :
( ~ empty(set_union2(X1,X0))
| empty(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( ~ empty(set_union2(X1,X0))
| empty(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0,X1] :
( ~ empty(X0)
=> ~ empty(set_union2(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_xboole_0) ).
fof(f363,plain,
spl15_22,
inference(avatar_split_clause,[],[f190,f361]) ).
fof(f361,plain,
( spl15_22
<=> ! [X0,X1] :
( ~ empty(set_union2(X0,X1))
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_22])]) ).
fof(f190,plain,
! [X0,X1] :
( ~ empty(set_union2(X0,X1))
| empty(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( ~ empty(set_union2(X0,X1))
| empty(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( ~ empty(X0)
=> ~ empty(set_union2(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_xboole_0) ).
fof(f351,plain,
( spl15_21
| ~ spl15_5
| ~ spl15_15
| ~ spl15_18 ),
inference(avatar_split_clause,[],[f338,f334,f316,f274,f349]) ).
fof(f274,plain,
( spl15_5
<=> empty(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
fof(f316,plain,
( spl15_15
<=> ! [X0] :
( empty_set = X0
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).
fof(f334,plain,
( spl15_18
<=> ! [X0] :
( empty_set = X0
| ~ subset(X0,empty_set) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_18])]) ).
fof(f338,plain,
( ! [X0] :
( ~ subset(X0,sK14)
| sK14 = X0 )
| ~ spl15_5
| ~ spl15_15
| ~ spl15_18 ),
inference(forward_demodulation,[],[f337,f331]) ).
fof(f331,plain,
( empty_set = sK14
| ~ spl15_5
| ~ spl15_15 ),
inference(resolution,[],[f317,f276]) ).
fof(f276,plain,
( empty(sK14)
| ~ spl15_5 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f317,plain,
( ! [X0] :
( ~ empty(X0)
| empty_set = X0 )
| ~ spl15_15 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f337,plain,
( ! [X0] :
( sK14 = X0
| ~ subset(X0,empty_set) )
| ~ spl15_5
| ~ spl15_15
| ~ spl15_18 ),
inference(forward_demodulation,[],[f335,f331]) ).
fof(f335,plain,
( ! [X0] :
( empty_set = X0
| ~ subset(X0,empty_set) )
| ~ spl15_18 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f347,plain,
spl15_20,
inference(avatar_split_clause,[],[f169,f345]) ).
fof(f169,plain,
! [X0,X1] :
( ~ proper_subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( ~ proper_subset(X1,X0)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0,X1] :
~ ( proper_subset(X1,X0)
& subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_xboole_1) ).
fof(f343,plain,
( spl15_19
| ~ spl15_5
| ~ spl15_15 ),
inference(avatar_split_clause,[],[f331,f316,f274,f340]) ).
fof(f336,plain,
spl15_18,
inference(avatar_split_clause,[],[f150,f334]) ).
fof(f150,plain,
! [X0] :
( empty_set = X0
| ~ subset(X0,empty_set) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( empty_set = X0
| ~ subset(X0,empty_set) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0] :
( subset(X0,empty_set)
=> empty_set = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_xboole_1) ).
fof(f326,plain,
spl15_17,
inference(avatar_split_clause,[],[f207,f324]) ).
fof(f324,plain,
( spl15_17
<=> ! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_17])]) ).
fof(f207,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f322,plain,
spl15_16,
inference(avatar_split_clause,[],[f187,f320]) ).
fof(f187,plain,
! [X0] : set_union2(X0,X0) = X0,
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] : set_union2(X0,X0) = X0,
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X0,X1] : set_union2(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k2_xboole_0) ).
fof(f318,plain,
spl15_15,
inference(avatar_split_clause,[],[f181,f316]) ).
fof(f181,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f314,plain,
spl15_14,
inference(avatar_split_clause,[],[f180,f312]) ).
fof(f180,plain,
! [X0] : set_difference(X0,empty_set) = X0,
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] : set_difference(X0,empty_set) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_boole) ).
fof(f310,plain,
spl15_13,
inference(avatar_split_clause,[],[f179,f308]) ).
fof(f179,plain,
! [X0] : set_union2(X0,empty_set) = X0,
inference(cnf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] : set_union2(X0,empty_set) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_boole) ).
fof(f306,plain,
spl15_12,
inference(avatar_split_clause,[],[f178,f304]) ).
fof(f178,plain,
! [X0] : empty_set = set_difference(empty_set,X0),
inference(cnf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0] : empty_set = set_difference(empty_set,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_boole) ).
fof(f301,plain,
spl15_11,
inference(avatar_split_clause,[],[f153,f299]) ).
fof(f153,plain,
! [X0,X1] : subset(set_difference(X0,X1),X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1] : subset(set_difference(X0,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t36_xboole_1) ).
fof(f297,plain,
spl15_10,
inference(avatar_split_clause,[],[f151,f295]) ).
fof(f151,plain,
! [X0,X1] : subset(X0,set_union2(X0,X1)),
inference(cnf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0,X1] : subset(X0,set_union2(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_xboole_1) ).
fof(f293,plain,
spl15_9,
inference(avatar_split_clause,[],[f247,f291]) ).
fof(f247,plain,
! [X2] : ~ in(X2,empty_set),
inference(equality_resolution,[],[f182]) ).
fof(f182,plain,
! [X2,X0] :
( ~ in(X2,X0)
| empty_set != X0 ),
inference(cnf_transformation,[],[f114]) ).
fof(f289,plain,
spl15_8,
inference(avatar_split_clause,[],[f185,f287]) ).
fof(f287,plain,
( spl15_8
<=> ! [X0] : subset(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).
fof(f185,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f285,plain,
spl15_7,
inference(avatar_split_clause,[],[f184,f283]) ).
fof(f283,plain,
( spl15_7
<=> ! [X0] : ~ proper_subset(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).
fof(f184,plain,
! [X0] : ~ proper_subset(X0,X0),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] : ~ proper_subset(X0,X0),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X0,X1] : ~ proper_subset(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexivity_r2_xboole_0) ).
fof(f281,plain,
spl15_6,
inference(avatar_split_clause,[],[f149,f279]) ).
fof(f149,plain,
! [X0] : subset(empty_set,X0),
inference(cnf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] : subset(empty_set,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_xboole_1) ).
fof(f277,plain,
spl15_5,
inference(avatar_split_clause,[],[f233,f274]) ).
fof(f233,plain,
empty(sK14),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
empty(sK14),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f24,f145]) ).
fof(f145,plain,
( ? [X0] : empty(X0)
=> empty(sK14) ),
introduced(choice_axiom,[]) ).
fof(f24,axiom,
? [X0] : empty(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f272,plain,
~ spl15_4,
inference(avatar_split_clause,[],[f232,f269]) ).
fof(f269,plain,
( spl15_4
<=> empty(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f232,plain,
~ empty(sK13),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
~ empty(sK13),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f25,f143]) ).
fof(f143,plain,
( ? [X0] : ~ empty(X0)
=> ~ empty(sK13) ),
introduced(choice_axiom,[]) ).
fof(f25,axiom,
? [X0] : ~ empty(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f267,plain,
spl15_3,
inference(avatar_split_clause,[],[f176,f264]) ).
fof(f264,plain,
( spl15_3
<=> empty(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f176,plain,
empty(empty_set),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
empty(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f262,plain,
( spl15_1
| spl15_2 ),
inference(avatar_split_clause,[],[f147,f259,f255]) ).
fof(f147,plain,
( sK3 = set_difference(sK3,sK4)
| disjoint(sK3,sK4) ),
inference(cnf_transformation,[],[f104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU141+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n027.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Apr 29 20:47:47 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (31503)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (31507)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 % (31506)WARNING: value z3 for option sas not known
% 0.15/0.37 TRYING [3]
% 0.15/0.37 % (31504)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (31505)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (31506)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)
% 0.15/0.37 % (31508)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)
% 0.15/0.37 % (31510)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)
% 0.15/0.37 % (31509)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)
% 0.15/0.38 TRYING [4]
% 0.15/0.39 TRYING [1]
% 0.15/0.40 TRYING [2]
% 0.15/0.40 % (31508)First to succeed.
% 0.21/0.41 TRYING [5]
% 0.21/0.41 % (31508)Refutation found. Thanks to Tanya!
% 0.21/0.41 % SZS status Theorem for theBenchmark
% 0.21/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.42 % (31508)------------------------------
% 0.21/0.42 % (31508)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.42 % (31508)Termination reason: Refutation
% 0.21/0.42
% 0.21/0.42 % (31508)Memory used [KB]: 1346
% 0.21/0.42 % (31508)Time elapsed: 0.035 s
% 0.21/0.42 % (31508)Instructions burned: 52 (million)
% 0.21/0.42 % (31508)------------------------------
% 0.21/0.42 % (31508)------------------------------
% 0.21/0.42 % (31503)Success in time 0.054 s
%------------------------------------------------------------------------------