TSTP Solution File: SEU045+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU045+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Sep 2 00:06:21 EDT 2023
% Result : Theorem 0.21s 0.46s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 176
% Syntax : Number of formulae : 554 ( 97 unt; 0 def)
% Number of atoms : 1772 ( 100 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 2112 ( 894 ~; 907 |; 135 &)
% ( 139 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 138 ( 136 usr; 128 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 12 con; 0-3 aty)
% Number of variables : 609 (; 569 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1122,plain,
$false,
inference(avatar_sat_refutation,[],[f168,f173,f178,f183,f188,f193,f198,f203,f208,f213,f218,f223,f228,f233,f238,f243,f248,f253,f258,f263,f268,f273,f278,f282,f286,f290,f294,f298,f302,f312,f321,f325,f329,f333,f337,f341,f353,f362,f366,f370,f377,f381,f385,f389,f393,f397,f418,f422,f426,f444,f454,f465,f469,f473,f477,f481,f486,f497,f508,f512,f517,f523,f530,f535,f544,f550,f560,f565,f570,f576,f581,f586,f590,f604,f608,f613,f619,f623,f627,f634,f640,f641,f642,f643,f644,f666,f708,f712,f721,f726,f730,f748,f752,f761,f765,f769,f797,f801,f812,f818,f822,f838,f847,f851,f861,f865,f879,f895,f901,f905,f909,f913,f917,f921,f941,f946,f950,f954,f980,f999,f1003,f1025,f1058,f1064,f1068,f1069,f1079,f1083,f1087,f1091,f1121]) ).
fof(f1121,plain,
( ~ spl17_1
| ~ spl17_2
| ~ spl17_49
| spl17_121 ),
inference(avatar_split_clause,[],[f1060,f1055,f424,f170,f165]) ).
fof(f165,plain,
( spl17_1
<=> relation(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).
fof(f170,plain,
( spl17_2
<=> function(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).
fof(f424,plain,
( spl17_49
<=> ! [X0,X1] :
( function(relation_rng_restriction(X0,X1))
| ~ function(X1)
| ~ relation(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_49])]) ).
fof(f1055,plain,
( spl17_121
<=> function(relation_rng_restriction(sK1,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_121])]) ).
fof(f1060,plain,
( ~ function(sK3)
| ~ relation(sK3)
| ~ spl17_49
| spl17_121 ),
inference(resolution,[],[f1057,f425]) ).
fof(f425,plain,
( ! [X0,X1] :
( function(relation_rng_restriction(X0,X1))
| ~ function(X1)
| ~ relation(X1) )
| ~ spl17_49 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f1057,plain,
( ~ function(relation_rng_restriction(sK1,sK3))
| spl17_121 ),
inference(avatar_component_clause,[],[f1055]) ).
fof(f1091,plain,
( spl17_127
| ~ spl17_82
| ~ spl17_104 ),
inference(avatar_split_clause,[],[f890,f877,f632,f1089]) ).
fof(f1089,plain,
( spl17_127
<=> ! [X34,X33] :
( sP0(sK10,X33,X34)
| ~ empty(relation_dom(X34)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_127])]) ).
fof(f632,plain,
( spl17_82
<=> ! [X8] : ~ in(X8,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_82])]) ).
fof(f877,plain,
( spl17_104
<=> ! [X6,X8,X7] :
( in(apply(X7,sK7(X6,X7,X8)),X6)
| sP0(X6,X7,X8)
| ~ empty(relation_dom(X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_104])]) ).
fof(f890,plain,
( ! [X34,X33] :
( sP0(sK10,X33,X34)
| ~ empty(relation_dom(X34)) )
| ~ spl17_82
| ~ spl17_104 ),
inference(resolution,[],[f878,f633]) ).
fof(f633,plain,
( ! [X8] : ~ in(X8,sK10)
| ~ spl17_82 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f878,plain,
( ! [X8,X6,X7] :
( in(apply(X7,sK7(X6,X7,X8)),X6)
| sP0(X6,X7,X8)
| ~ empty(relation_dom(X8)) )
| ~ spl17_104 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f1087,plain,
( spl17_126
| ~ spl17_36
| ~ spl17_99 ),
inference(avatar_split_clause,[],[f841,f836,f339,f1085]) ).
fof(f1085,plain,
( spl17_126
<=> ! [X6,X7] :
( sP0(X6,X7,X7)
| ~ empty(relation_dom(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_126])]) ).
fof(f339,plain,
( spl17_36
<=> ! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_36])]) ).
fof(f836,plain,
( spl17_99
<=> ! [X0,X1] :
( in(sK7(X0,X1,X1),relation_dom(X1))
| sP0(X0,X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_99])]) ).
fof(f841,plain,
( ! [X6,X7] :
( sP0(X6,X7,X7)
| ~ empty(relation_dom(X7)) )
| ~ spl17_36
| ~ spl17_99 ),
inference(resolution,[],[f837,f340]) ).
fof(f340,plain,
( ! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) )
| ~ spl17_36 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f837,plain,
( ! [X0,X1] :
( in(sK7(X0,X1,X1),relation_dom(X1))
| sP0(X0,X1,X1) )
| ~ spl17_99 ),
inference(avatar_component_clause,[],[f836]) ).
fof(f1083,plain,
( spl17_125
| ~ spl17_88
| ~ spl17_92 ),
inference(avatar_split_clause,[],[f785,f763,f728,f1081]) ).
fof(f1081,plain,
( spl17_125
<=> ! [X0,X1] :
( ~ empty(X0)
| ~ subset(X1,X0)
| empty(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_125])]) ).
fof(f728,plain,
( spl17_88
<=> ! [X3] :
( empty(X3)
| in(sK5(X3),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_88])]) ).
fof(f763,plain,
( spl17_92
<=> ! [X2,X0,X1] :
( ~ empty(X0)
| ~ in(X1,X2)
| ~ subset(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_92])]) ).
fof(f785,plain,
( ! [X0,X1] :
( ~ empty(X0)
| ~ subset(X1,X0)
| empty(X1) )
| ~ spl17_88
| ~ spl17_92 ),
inference(resolution,[],[f764,f729]) ).
fof(f729,plain,
( ! [X3] :
( in(sK5(X3),X3)
| empty(X3) )
| ~ spl17_88 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f764,plain,
( ! [X2,X0,X1] :
( ~ in(X1,X2)
| ~ empty(X0)
| ~ subset(X2,X0) )
| ~ spl17_92 ),
inference(avatar_component_clause,[],[f763]) ).
fof(f1079,plain,
( spl17_124
| ~ spl17_33
| ~ spl17_83 ),
inference(avatar_split_clause,[],[f732,f706,f327,f1077]) ).
fof(f1077,plain,
( spl17_124
<=> ! [X0] :
( sK10 = relation_dom(relation_dom(X0))
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_124])]) ).
fof(f327,plain,
( spl17_33
<=> ! [X0] :
( empty(relation_dom(X0))
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_33])]) ).
fof(f706,plain,
( spl17_83
<=> ! [X0] :
( relation_dom(X0) = sK10
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_83])]) ).
fof(f732,plain,
( ! [X0] :
( sK10 = relation_dom(relation_dom(X0))
| ~ empty(X0) )
| ~ spl17_33
| ~ spl17_83 ),
inference(resolution,[],[f707,f328]) ).
fof(f328,plain,
( ! [X0] :
( empty(relation_dom(X0))
| ~ empty(X0) )
| ~ spl17_33 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f707,plain,
( ! [X0] :
( ~ empty(X0)
| relation_dom(X0) = sK10 )
| ~ spl17_83 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f1069,plain,
( ~ spl17_1
| ~ spl17_38
| spl17_120 ),
inference(avatar_split_clause,[],[f1059,f1051,f360,f165]) ).
fof(f360,plain,
( spl17_38
<=> ! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_38])]) ).
fof(f1051,plain,
( spl17_120
<=> relation(relation_rng_restriction(sK1,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_120])]) ).
fof(f1059,plain,
( ~ relation(sK3)
| ~ spl17_38
| spl17_120 ),
inference(resolution,[],[f1053,f361]) ).
fof(f361,plain,
( ! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) )
| ~ spl17_38 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f1053,plain,
( ~ relation(relation_rng_restriction(sK1,sK3))
| spl17_120 ),
inference(avatar_component_clause,[],[f1051]) ).
fof(f1068,plain,
( spl17_123
| ~ spl17_88
| ~ spl17_90 ),
inference(avatar_split_clause,[],[f756,f750,f728,f1066]) ).
fof(f1066,plain,
( spl17_123
<=> ! [X0] :
( ~ empty(X0)
| empty(sK5(powerset(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_123])]) ).
fof(f750,plain,
( spl17_90
<=> ! [X6,X5] :
( ~ empty(X5)
| ~ in(X6,sK5(powerset(X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_90])]) ).
fof(f756,plain,
( ! [X0] :
( ~ empty(X0)
| empty(sK5(powerset(X0))) )
| ~ spl17_88
| ~ spl17_90 ),
inference(resolution,[],[f751,f729]) ).
fof(f751,plain,
( ! [X6,X5] :
( ~ in(X6,sK5(powerset(X5)))
| ~ empty(X5) )
| ~ spl17_90 ),
inference(avatar_component_clause,[],[f750]) ).
fof(f1064,plain,
( spl17_122
| ~ spl17_39
| ~ spl17_88 ),
inference(avatar_split_clause,[],[f743,f728,f364,f1062]) ).
fof(f1062,plain,
( spl17_122
<=> ! [X2] :
( empty(X2)
| ~ in(X2,sK5(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_122])]) ).
fof(f364,plain,
( spl17_39
<=> ! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_39])]) ).
fof(f743,plain,
( ! [X2] :
( empty(X2)
| ~ in(X2,sK5(X2)) )
| ~ spl17_39
| ~ spl17_88 ),
inference(resolution,[],[f729,f365]) ).
fof(f365,plain,
( ! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) )
| ~ spl17_39 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f1058,plain,
( ~ spl17_120
| ~ spl17_121
| ~ spl17_1
| ~ spl17_2
| spl17_23
| ~ spl17_3
| ~ spl17_116 ),
inference(avatar_split_clause,[],[f981,f978,f175,f275,f170,f165,f1055,f1051]) ).
fof(f275,plain,
( spl17_23
<=> apply(relation_rng_restriction(sK1,sK3),sK2) = apply(sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_23])]) ).
fof(f175,plain,
( spl17_3
<=> in(sK2,relation_dom(relation_rng_restriction(sK1,sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).
fof(f978,plain,
( spl17_116
<=> ! [X2,X0,X1] :
( ~ in(X0,relation_dom(relation_rng_restriction(X1,X2)))
| apply(X2,X0) = apply(relation_rng_restriction(X1,X2),X0)
| ~ function(X2)
| ~ relation(X2)
| ~ function(relation_rng_restriction(X1,X2))
| ~ relation(relation_rng_restriction(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_116])]) ).
fof(f981,plain,
( apply(relation_rng_restriction(sK1,sK3),sK2) = apply(sK3,sK2)
| ~ function(sK3)
| ~ relation(sK3)
| ~ function(relation_rng_restriction(sK1,sK3))
| ~ relation(relation_rng_restriction(sK1,sK3))
| ~ spl17_3
| ~ spl17_116 ),
inference(resolution,[],[f979,f177]) ).
fof(f177,plain,
( in(sK2,relation_dom(relation_rng_restriction(sK1,sK3)))
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f979,plain,
( ! [X2,X0,X1] :
( ~ in(X0,relation_dom(relation_rng_restriction(X1,X2)))
| apply(X2,X0) = apply(relation_rng_restriction(X1,X2),X0)
| ~ function(X2)
| ~ relation(X2)
| ~ function(relation_rng_restriction(X1,X2))
| ~ relation(relation_rng_restriction(X1,X2)) )
| ~ spl17_116 ),
inference(avatar_component_clause,[],[f978]) ).
fof(f1025,plain,
( spl17_119
| ~ spl17_4
| ~ spl17_71
| ~ spl17_83 ),
inference(avatar_split_clause,[],[f737,f706,f573,f180,f1022]) ).
fof(f1022,plain,
( spl17_119
<=> sK10 = relation_dom(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_119])]) ).
fof(f180,plain,
( spl17_4
<=> empty(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_4])]) ).
fof(f573,plain,
( spl17_71
<=> empty_set = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_71])]) ).
fof(f737,plain,
( sK10 = relation_dom(sK10)
| ~ spl17_4
| ~ spl17_71
| ~ spl17_83 ),
inference(forward_demodulation,[],[f731,f575]) ).
fof(f575,plain,
( empty_set = sK10
| ~ spl17_71 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f731,plain,
( sK10 = relation_dom(empty_set)
| ~ spl17_4
| ~ spl17_83 ),
inference(resolution,[],[f707,f182]) ).
fof(f182,plain,
( empty(empty_set)
| ~ spl17_4 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f1003,plain,
( spl17_118
| ~ spl17_35
| ~ spl17_77 ),
inference(avatar_split_clause,[],[f614,f611,f335,f1001]) ).
fof(f1001,plain,
( spl17_118
<=> ! [X0] : element(sK10,powerset(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_118])]) ).
fof(f335,plain,
( spl17_35
<=> ! [X0] : element(sK6(X0),powerset(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_35])]) ).
fof(f611,plain,
( spl17_77
<=> ! [X0] : sK6(X0) = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_77])]) ).
fof(f614,plain,
( ! [X0] : element(sK10,powerset(X0))
| ~ spl17_35
| ~ spl17_77 ),
inference(superposition,[],[f336,f612]) ).
fof(f612,plain,
( ! [X0] : sK6(X0) = sK10
| ~ spl17_77 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f336,plain,
( ! [X0] : element(sK6(X0),powerset(X0))
| ~ spl17_35 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f999,plain,
( spl17_117
| ~ spl17_55
| ~ spl17_58 ),
inference(avatar_split_clause,[],[f498,f495,f475,f997]) ).
fof(f997,plain,
( spl17_117
<=> ! [X0,X3,X2,X1] :
( in(sK7(X1,X0,X2),relation_dom(X2))
| sP0(X1,X0,X2)
| in(sK7(X1,X0,X2),relation_dom(X3))
| ~ in(sK7(X1,X0,X2),relation_dom(X0))
| ~ sP0(X1,X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_117])]) ).
fof(f475,plain,
( spl17_55
<=> ! [X4,X0,X2,X1] :
( in(X4,relation_dom(X2))
| ~ in(apply(X1,X4),X0)
| ~ in(X4,relation_dom(X1))
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_55])]) ).
fof(f495,plain,
( spl17_58
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| in(apply(X1,sK7(X0,X1,X2)),X0)
| in(sK7(X0,X1,X2),relation_dom(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_58])]) ).
fof(f498,plain,
( ! [X2,X3,X0,X1] :
( in(sK7(X1,X0,X2),relation_dom(X2))
| sP0(X1,X0,X2)
| in(sK7(X1,X0,X2),relation_dom(X3))
| ~ in(sK7(X1,X0,X2),relation_dom(X0))
| ~ sP0(X1,X0,X3) )
| ~ spl17_55
| ~ spl17_58 ),
inference(resolution,[],[f496,f476]) ).
fof(f476,plain,
( ! [X2,X0,X1,X4] :
( ~ in(apply(X1,X4),X0)
| in(X4,relation_dom(X2))
| ~ in(X4,relation_dom(X1))
| ~ sP0(X0,X1,X2) )
| ~ spl17_55 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f496,plain,
( ! [X2,X0,X1] :
( in(apply(X1,sK7(X0,X1,X2)),X0)
| in(sK7(X0,X1,X2),relation_dom(X2))
| sP0(X0,X1,X2) )
| ~ spl17_58 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f980,plain,
( spl17_116
| ~ spl17_60 ),
inference(avatar_split_clause,[],[f513,f510,f978]) ).
fof(f510,plain,
( spl17_60
<=> ! [X2,X4,X0,X1] :
( apply(X2,X4) = apply(X1,X4)
| ~ in(X4,relation_dom(X1))
| relation_rng_restriction(X0,X2) != X1
| ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_60])]) ).
fof(f513,plain,
( ! [X2,X0,X1] :
( ~ in(X0,relation_dom(relation_rng_restriction(X1,X2)))
| apply(X2,X0) = apply(relation_rng_restriction(X1,X2),X0)
| ~ function(X2)
| ~ relation(X2)
| ~ function(relation_rng_restriction(X1,X2))
| ~ relation(relation_rng_restriction(X1,X2)) )
| ~ spl17_60 ),
inference(equality_resolution,[],[f511]) ).
fof(f511,plain,
( ! [X2,X0,X1,X4] :
( relation_rng_restriction(X0,X2) != X1
| ~ in(X4,relation_dom(X1))
| apply(X2,X4) = apply(X1,X4)
| ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1) )
| ~ spl17_60 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f954,plain,
( spl17_115
| ~ spl17_39
| ~ spl17_58 ),
inference(avatar_split_clause,[],[f503,f495,f364,f952]) ).
fof(f952,plain,
( spl17_115
<=> ! [X4,X5,X3] :
( in(apply(X4,sK7(X3,X4,X5)),X3)
| sP0(X3,X4,X5)
| ~ in(relation_dom(X5),sK7(X3,X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_115])]) ).
fof(f503,plain,
( ! [X3,X4,X5] :
( in(apply(X4,sK7(X3,X4,X5)),X3)
| sP0(X3,X4,X5)
| ~ in(relation_dom(X5),sK7(X3,X4,X5)) )
| ~ spl17_39
| ~ spl17_58 ),
inference(resolution,[],[f496,f365]) ).
fof(f950,plain,
( spl17_114
| ~ spl17_40
| ~ spl17_58 ),
inference(avatar_split_clause,[],[f502,f495,f368,f948]) ).
fof(f948,plain,
( spl17_114
<=> ! [X2,X0,X1] :
( in(apply(X1,sK7(X0,X1,X2)),X0)
| sP0(X0,X1,X2)
| element(sK7(X0,X1,X2),relation_dom(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_114])]) ).
fof(f368,plain,
( spl17_40
<=> ! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_40])]) ).
fof(f502,plain,
( ! [X2,X0,X1] :
( in(apply(X1,sK7(X0,X1,X2)),X0)
| sP0(X0,X1,X2)
| element(sK7(X0,X1,X2),relation_dom(X2)) )
| ~ spl17_40
| ~ spl17_58 ),
inference(resolution,[],[f496,f369]) ).
fof(f369,plain,
( ! [X0,X1] :
( ~ in(X0,X1)
| element(X0,X1) )
| ~ spl17_40 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f946,plain,
( spl17_113
| ~ spl17_39
| ~ spl17_58 ),
inference(avatar_split_clause,[],[f500,f495,f364,f944]) ).
fof(f944,plain,
( spl17_113
<=> ! [X9,X7,X8] :
( in(sK7(X8,X7,X9),relation_dom(X9))
| sP0(X8,X7,X9)
| ~ in(X8,apply(X7,sK7(X8,X7,X9))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_113])]) ).
fof(f500,plain,
( ! [X8,X9,X7] :
( in(sK7(X8,X7,X9),relation_dom(X9))
| sP0(X8,X7,X9)
| ~ in(X8,apply(X7,sK7(X8,X7,X9))) )
| ~ spl17_39
| ~ spl17_58 ),
inference(resolution,[],[f496,f365]) ).
fof(f941,plain,
( spl17_112
| ~ spl17_40
| ~ spl17_58 ),
inference(avatar_split_clause,[],[f499,f495,f368,f939]) ).
fof(f939,plain,
( spl17_112
<=> ! [X6,X4,X5] :
( in(sK7(X5,X4,X6),relation_dom(X6))
| sP0(X5,X4,X6)
| element(apply(X4,sK7(X5,X4,X6)),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_112])]) ).
fof(f499,plain,
( ! [X6,X4,X5] :
( in(sK7(X5,X4,X6),relation_dom(X6))
| sP0(X5,X4,X6)
| element(apply(X4,sK7(X5,X4,X6)),X5) )
| ~ spl17_40
| ~ spl17_58 ),
inference(resolution,[],[f496,f369]) ).
fof(f921,plain,
( spl17_111
| ~ spl17_39
| ~ spl17_57 ),
inference(avatar_split_clause,[],[f491,f484,f364,f919]) ).
fof(f919,plain,
( spl17_111
<=> ! [X4,X5,X3] :
( in(sK7(X3,X4,X5),relation_dom(X5))
| sP0(X3,X4,X5)
| ~ in(relation_dom(X4),sK7(X3,X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_111])]) ).
fof(f484,plain,
( spl17_57
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| in(sK7(X0,X1,X2),relation_dom(X1))
| in(sK7(X0,X1,X2),relation_dom(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_57])]) ).
fof(f491,plain,
( ! [X3,X4,X5] :
( in(sK7(X3,X4,X5),relation_dom(X5))
| sP0(X3,X4,X5)
| ~ in(relation_dom(X4),sK7(X3,X4,X5)) )
| ~ spl17_39
| ~ spl17_57 ),
inference(resolution,[],[f485,f365]) ).
fof(f485,plain,
( ! [X2,X0,X1] :
( in(sK7(X0,X1,X2),relation_dom(X2))
| in(sK7(X0,X1,X2),relation_dom(X1))
| sP0(X0,X1,X2) )
| ~ spl17_57 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f917,plain,
( spl17_110
| ~ spl17_40
| ~ spl17_57 ),
inference(avatar_split_clause,[],[f490,f484,f368,f915]) ).
fof(f915,plain,
( spl17_110
<=> ! [X2,X0,X1] :
( in(sK7(X0,X1,X2),relation_dom(X2))
| sP0(X0,X1,X2)
| element(sK7(X0,X1,X2),relation_dom(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_110])]) ).
fof(f490,plain,
( ! [X2,X0,X1] :
( in(sK7(X0,X1,X2),relation_dom(X2))
| sP0(X0,X1,X2)
| element(sK7(X0,X1,X2),relation_dom(X1)) )
| ~ spl17_40
| ~ spl17_57 ),
inference(resolution,[],[f485,f369]) ).
fof(f913,plain,
( spl17_109
| ~ spl17_39
| ~ spl17_57 ),
inference(avatar_split_clause,[],[f488,f484,f364,f911]) ).
fof(f911,plain,
( spl17_109
<=> ! [X4,X5,X3] :
( in(sK7(X3,X4,X5),relation_dom(X4))
| sP0(X3,X4,X5)
| ~ in(relation_dom(X5),sK7(X3,X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_109])]) ).
fof(f488,plain,
( ! [X3,X4,X5] :
( in(sK7(X3,X4,X5),relation_dom(X4))
| sP0(X3,X4,X5)
| ~ in(relation_dom(X5),sK7(X3,X4,X5)) )
| ~ spl17_39
| ~ spl17_57 ),
inference(resolution,[],[f485,f365]) ).
fof(f909,plain,
( spl17_108
| ~ spl17_40
| ~ spl17_57 ),
inference(avatar_split_clause,[],[f487,f484,f368,f907]) ).
fof(f907,plain,
( spl17_108
<=> ! [X2,X0,X1] :
( in(sK7(X0,X1,X2),relation_dom(X1))
| sP0(X0,X1,X2)
| element(sK7(X0,X1,X2),relation_dom(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_108])]) ).
fof(f487,plain,
( ! [X2,X0,X1] :
( in(sK7(X0,X1,X2),relation_dom(X1))
| sP0(X0,X1,X2)
| element(sK7(X0,X1,X2),relation_dom(X2)) )
| ~ spl17_40
| ~ spl17_57 ),
inference(resolution,[],[f485,f369]) ).
fof(f905,plain,
( spl17_107
| ~ spl17_3
| ~ spl17_94 ),
inference(avatar_split_clause,[],[f805,f795,f175,f903]) ).
fof(f903,plain,
( spl17_107
<=> ! [X8] :
( element(sK2,X8)
| ~ subset(relation_dom(relation_rng_restriction(sK1,sK3)),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_107])]) ).
fof(f795,plain,
( spl17_94
<=> ! [X2,X0,X1] :
( element(X0,X1)
| ~ in(X0,X2)
| ~ subset(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_94])]) ).
fof(f805,plain,
( ! [X8] :
( element(sK2,X8)
| ~ subset(relation_dom(relation_rng_restriction(sK1,sK3)),X8) )
| ~ spl17_3
| ~ spl17_94 ),
inference(resolution,[],[f796,f177]) ).
fof(f796,plain,
( ! [X2,X0,X1] :
( ~ in(X0,X2)
| element(X0,X1)
| ~ subset(X2,X1) )
| ~ spl17_94 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f901,plain,
( spl17_106
| ~ spl17_56 ),
inference(avatar_split_clause,[],[f482,f479,f899]) ).
fof(f899,plain,
( spl17_106
<=> ! [X0,X1] :
( sP0(X0,X1,relation_rng_restriction(X0,X1))
| ~ function(X1)
| ~ relation(X1)
| ~ function(relation_rng_restriction(X0,X1))
| ~ relation(relation_rng_restriction(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_106])]) ).
fof(f479,plain,
( spl17_56
<=> ! [X2,X0,X1] :
( sP0(X0,X2,X1)
| relation_rng_restriction(X0,X2) != X1
| ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_56])]) ).
fof(f482,plain,
( ! [X0,X1] :
( sP0(X0,X1,relation_rng_restriction(X0,X1))
| ~ function(X1)
| ~ relation(X1)
| ~ function(relation_rng_restriction(X0,X1))
| ~ relation(relation_rng_restriction(X0,X1)) )
| ~ spl17_56 ),
inference(equality_resolution,[],[f480]) ).
fof(f480,plain,
( ! [X2,X0,X1] :
( relation_rng_restriction(X0,X2) != X1
| sP0(X0,X2,X1)
| ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1) )
| ~ spl17_56 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f895,plain,
( spl17_105
| ~ spl17_47
| ~ spl17_49 ),
inference(avatar_split_clause,[],[f440,f424,f416,f893]) ).
fof(f893,plain,
( spl17_105
<=> ! [X0,X1] :
( ~ function(X0)
| ~ relation(X0)
| one_to_one(relation_rng_restriction(X1,X0))
| ~ empty(relation_rng_restriction(X1,X0))
| ~ relation(relation_rng_restriction(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_105])]) ).
fof(f416,plain,
( spl17_47
<=> ! [X0] :
( one_to_one(X0)
| ~ function(X0)
| ~ empty(X0)
| ~ relation(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_47])]) ).
fof(f440,plain,
( ! [X0,X1] :
( ~ function(X0)
| ~ relation(X0)
| one_to_one(relation_rng_restriction(X1,X0))
| ~ empty(relation_rng_restriction(X1,X0))
| ~ relation(relation_rng_restriction(X1,X0)) )
| ~ spl17_47
| ~ spl17_49 ),
inference(resolution,[],[f425,f417]) ).
fof(f417,plain,
( ! [X0] :
( ~ function(X0)
| one_to_one(X0)
| ~ empty(X0)
| ~ relation(X0) )
| ~ spl17_47 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f879,plain,
( spl17_104
| ~ spl17_36
| ~ spl17_58 ),
inference(avatar_split_clause,[],[f504,f495,f339,f877]) ).
fof(f504,plain,
( ! [X8,X6,X7] :
( in(apply(X7,sK7(X6,X7,X8)),X6)
| sP0(X6,X7,X8)
| ~ empty(relation_dom(X8)) )
| ~ spl17_36
| ~ spl17_58 ),
inference(resolution,[],[f496,f340]) ).
fof(f865,plain,
( spl17_103
| ~ spl17_36
| ~ spl17_57 ),
inference(avatar_split_clause,[],[f492,f484,f339,f863]) ).
fof(f863,plain,
( spl17_103
<=> ! [X6,X8,X7] :
( in(sK7(X6,X7,X8),relation_dom(X8))
| sP0(X6,X7,X8)
| ~ empty(relation_dom(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_103])]) ).
fof(f492,plain,
( ! [X8,X6,X7] :
( in(sK7(X6,X7,X8),relation_dom(X8))
| sP0(X6,X7,X8)
| ~ empty(relation_dom(X7)) )
| ~ spl17_36
| ~ spl17_57 ),
inference(resolution,[],[f485,f340]) ).
fof(f861,plain,
( spl17_102
| ~ spl17_36
| ~ spl17_57 ),
inference(avatar_split_clause,[],[f489,f484,f339,f859]) ).
fof(f859,plain,
( spl17_102
<=> ! [X6,X7,X8] :
( in(sK7(X6,X7,X8),relation_dom(X7))
| sP0(X6,X7,X8)
| ~ empty(relation_dom(X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_102])]) ).
fof(f489,plain,
( ! [X8,X6,X7] :
( in(sK7(X6,X7,X8),relation_dom(X7))
| sP0(X6,X7,X8)
| ~ empty(relation_dom(X8)) )
| ~ spl17_36
| ~ spl17_57 ),
inference(resolution,[],[f485,f340]) ).
fof(f851,plain,
( spl17_101
| ~ spl17_62 ),
inference(avatar_split_clause,[],[f525,f521,f849]) ).
fof(f849,plain,
( spl17_101
<=> ! [X0,X1] :
( relation_rng_restriction(X0,X1) = X1
| ~ sP0(X0,X1,X1)
| ~ function(X1)
| ~ relation(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_101])]) ).
fof(f521,plain,
( spl17_62
<=> ! [X2,X0,X1] :
( relation_rng_restriction(X0,X2) = X1
| apply(X2,sK8(X1,X2)) != apply(X1,sK8(X1,X2))
| ~ sP0(X0,X2,X1)
| ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_62])]) ).
fof(f525,plain,
( ! [X0,X1] :
( relation_rng_restriction(X0,X1) = X1
| ~ sP0(X0,X1,X1)
| ~ function(X1)
| ~ relation(X1) )
| ~ spl17_62 ),
inference(duplicate_literal_removal,[],[f524]) ).
fof(f524,plain,
( ! [X0,X1] :
( relation_rng_restriction(X0,X1) = X1
| ~ sP0(X0,X1,X1)
| ~ function(X1)
| ~ relation(X1)
| ~ function(X1)
| ~ relation(X1) )
| ~ spl17_62 ),
inference(equality_resolution,[],[f522]) ).
fof(f522,plain,
( ! [X2,X0,X1] :
( apply(X2,sK8(X1,X2)) != apply(X1,sK8(X1,X2))
| relation_rng_restriction(X0,X2) = X1
| ~ sP0(X0,X2,X1)
| ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1) )
| ~ spl17_62 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f847,plain,
( spl17_100
| ~ spl17_36
| ~ spl17_58 ),
inference(avatar_split_clause,[],[f501,f495,f339,f845]) ).
fof(f845,plain,
( spl17_100
<=> ! [X11,X12,X10] :
( in(sK7(X11,X10,X12),relation_dom(X12))
| sP0(X11,X10,X12)
| ~ empty(X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_100])]) ).
fof(f501,plain,
( ! [X10,X11,X12] :
( in(sK7(X11,X10,X12),relation_dom(X12))
| sP0(X11,X10,X12)
| ~ empty(X11) )
| ~ spl17_36
| ~ spl17_58 ),
inference(resolution,[],[f496,f340]) ).
fof(f838,plain,
( spl17_99
| ~ spl17_57 ),
inference(avatar_split_clause,[],[f493,f484,f836]) ).
fof(f493,plain,
( ! [X0,X1] :
( in(sK7(X0,X1,X1),relation_dom(X1))
| sP0(X0,X1,X1) )
| ~ spl17_57 ),
inference(factoring,[],[f485]) ).
fof(f822,plain,
( spl17_98
| ~ spl17_42
| ~ spl17_48 ),
inference(avatar_split_clause,[],[f435,f420,f379,f820]) ).
fof(f820,plain,
( spl17_98
<=> ! [X2] :
( empty(powerset(X2))
| in(sK4(X2),powerset(X2))
| empty(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_98])]) ).
fof(f379,plain,
( spl17_42
<=> ! [X0] :
( element(sK4(X0),powerset(X0))
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_42])]) ).
fof(f420,plain,
( spl17_48
<=> ! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_48])]) ).
fof(f435,plain,
( ! [X2] :
( empty(powerset(X2))
| in(sK4(X2),powerset(X2))
| empty(X2) )
| ~ spl17_42
| ~ spl17_48 ),
inference(resolution,[],[f421,f380]) ).
fof(f380,plain,
( ! [X0] :
( element(sK4(X0),powerset(X0))
| empty(X0) )
| ~ spl17_42 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f421,plain,
( ! [X0,X1] :
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) )
| ~ spl17_48 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f818,plain,
( spl17_97
| ~ spl17_45
| ~ spl17_48 ),
inference(avatar_split_clause,[],[f434,f420,f391,f816]) ).
fof(f816,plain,
( spl17_97
<=> ! [X0,X1] :
( empty(powerset(X0))
| in(X1,powerset(X0))
| ~ subset(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_97])]) ).
fof(f391,plain,
( spl17_45
<=> ! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_45])]) ).
fof(f434,plain,
( ! [X0,X1] :
( empty(powerset(X0))
| in(X1,powerset(X0))
| ~ subset(X1,X0) )
| ~ spl17_45
| ~ spl17_48 ),
inference(resolution,[],[f421,f392]) ).
fof(f392,plain,
( ! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) )
| ~ spl17_45 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f812,plain,
( spl17_96
| ~ spl17_3
| ~ spl17_92 ),
inference(avatar_split_clause,[],[f788,f763,f175,f810]) ).
fof(f810,plain,
( spl17_96
<=> ! [X8] :
( ~ empty(X8)
| ~ subset(relation_dom(relation_rng_restriction(sK1,sK3)),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_96])]) ).
fof(f788,plain,
( ! [X8] :
( ~ empty(X8)
| ~ subset(relation_dom(relation_rng_restriction(sK1,sK3)),X8) )
| ~ spl17_3
| ~ spl17_92 ),
inference(resolution,[],[f764,f177]) ).
fof(f801,plain,
( spl17_95
| ~ spl17_42
| ~ spl17_51 ),
inference(avatar_split_clause,[],[f456,f452,f379,f799]) ).
fof(f799,plain,
( spl17_95
<=> ! [X4,X3] :
( element(X3,X4)
| ~ in(X3,sK4(X4))
| empty(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_95])]) ).
fof(f452,plain,
( spl17_51
<=> ! [X2,X0,X1] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_51])]) ).
fof(f456,plain,
( ! [X3,X4] :
( element(X3,X4)
| ~ in(X3,sK4(X4))
| empty(X4) )
| ~ spl17_42
| ~ spl17_51 ),
inference(resolution,[],[f453,f380]) ).
fof(f453,plain,
( ! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| element(X0,X2)
| ~ in(X0,X1) )
| ~ spl17_51 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f797,plain,
( spl17_94
| ~ spl17_45
| ~ spl17_51 ),
inference(avatar_split_clause,[],[f455,f452,f391,f795]) ).
fof(f455,plain,
( ! [X2,X0,X1] :
( element(X0,X1)
| ~ in(X0,X2)
| ~ subset(X2,X1) )
| ~ spl17_45
| ~ spl17_51 ),
inference(resolution,[],[f453,f392]) ).
fof(f769,plain,
( spl17_93
| ~ spl17_29
| ~ spl17_51 ),
inference(avatar_split_clause,[],[f457,f452,f300,f767]) ).
fof(f767,plain,
( spl17_93
<=> ! [X6,X5] :
( element(X5,X6)
| ~ in(X5,sK5(powerset(X6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_93])]) ).
fof(f300,plain,
( spl17_29
<=> ! [X0] : element(sK5(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_29])]) ).
fof(f457,plain,
( ! [X6,X5] :
( element(X5,X6)
| ~ in(X5,sK5(powerset(X6))) )
| ~ spl17_29
| ~ spl17_51 ),
inference(resolution,[],[f453,f301]) ).
fof(f301,plain,
( ! [X0] : element(sK5(X0),X0)
| ~ spl17_29 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f765,plain,
( spl17_92
| ~ spl17_45
| ~ spl17_50 ),
inference(avatar_split_clause,[],[f445,f442,f391,f763]) ).
fof(f442,plain,
( spl17_50
<=> ! [X2,X0,X1] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_50])]) ).
fof(f445,plain,
( ! [X2,X0,X1] :
( ~ empty(X0)
| ~ in(X1,X2)
| ~ subset(X2,X0) )
| ~ spl17_45
| ~ spl17_50 ),
inference(resolution,[],[f443,f392]) ).
fof(f443,plain,
( ! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ empty(X2)
| ~ in(X0,X1) )
| ~ spl17_50 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f761,plain,
( spl17_91
| ~ spl17_33
| ~ spl17_46 ),
inference(avatar_split_clause,[],[f406,f395,f327,f759]) ).
fof(f759,plain,
( spl17_91
<=> ! [X2,X1] :
( relation_dom(X2) = X1
| ~ empty(X1)
| ~ empty(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_91])]) ).
fof(f395,plain,
( spl17_46
<=> ! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_46])]) ).
fof(f406,plain,
( ! [X2,X1] :
( relation_dom(X2) = X1
| ~ empty(X1)
| ~ empty(X2) )
| ~ spl17_33
| ~ spl17_46 ),
inference(resolution,[],[f396,f328]) ).
fof(f396,plain,
( ! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) )
| ~ spl17_46 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f752,plain,
( spl17_90
| ~ spl17_29
| ~ spl17_50 ),
inference(avatar_split_clause,[],[f447,f442,f300,f750]) ).
fof(f447,plain,
( ! [X6,X5] :
( ~ empty(X5)
| ~ in(X6,sK5(powerset(X5))) )
| ~ spl17_29
| ~ spl17_50 ),
inference(resolution,[],[f443,f301]) ).
fof(f748,plain,
( spl17_89
| ~ spl17_8
| ~ spl17_25
| ~ spl17_32
| ~ spl17_35
| ~ spl17_48 ),
inference(avatar_split_clause,[],[f439,f420,f335,f323,f284,f200,f746]) ).
fof(f746,plain,
( spl17_89
<=> ! [X4] :
( in(sK10,powerset(X4))
| empty(powerset(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_89])]) ).
fof(f200,plain,
( spl17_8
<=> empty(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_8])]) ).
fof(f284,plain,
( spl17_25
<=> ! [X0] : empty(sK6(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_25])]) ).
fof(f323,plain,
( spl17_32
<=> ! [X0] :
( empty_set = X0
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_32])]) ).
fof(f439,plain,
( ! [X4] :
( in(sK10,powerset(X4))
| empty(powerset(X4)) )
| ~ spl17_8
| ~ spl17_25
| ~ spl17_32
| ~ spl17_35
| ~ spl17_48 ),
inference(forward_demodulation,[],[f438,f344]) ).
fof(f344,plain,
( empty_set = sK10
| ~ spl17_8
| ~ spl17_32 ),
inference(resolution,[],[f324,f202]) ).
fof(f202,plain,
( empty(sK10)
| ~ spl17_8 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f324,plain,
( ! [X0] :
( ~ empty(X0)
| empty_set = X0 )
| ~ spl17_32 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f438,plain,
( ! [X4] :
( in(empty_set,powerset(X4))
| empty(powerset(X4)) )
| ~ spl17_25
| ~ spl17_32
| ~ spl17_35
| ~ spl17_48 ),
inference(forward_demodulation,[],[f437,f343]) ).
fof(f343,plain,
( ! [X0] : empty_set = sK6(X0)
| ~ spl17_25
| ~ spl17_32 ),
inference(resolution,[],[f324,f285]) ).
fof(f285,plain,
( ! [X0] : empty(sK6(X0))
| ~ spl17_25 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f437,plain,
( ! [X4] :
( empty(powerset(X4))
| in(sK6(X4),powerset(X4)) )
| ~ spl17_35
| ~ spl17_48 ),
inference(resolution,[],[f421,f336]) ).
fof(f730,plain,
( spl17_88
| ~ spl17_29
| ~ spl17_48 ),
inference(avatar_split_clause,[],[f436,f420,f300,f728]) ).
fof(f436,plain,
( ! [X3] :
( empty(X3)
| in(sK5(X3),X3) )
| ~ spl17_29
| ~ spl17_48 ),
inference(resolution,[],[f421,f301]) ).
fof(f726,plain,
( spl17_87
| ~ spl17_8
| ~ spl17_68
| ~ spl17_8
| ~ spl17_21
| ~ spl17_22
| ~ spl17_32
| ~ spl17_47 ),
inference(avatar_split_clause,[],[f433,f416,f323,f270,f265,f200,f557,f200,f723]) ).
fof(f723,plain,
( spl17_87
<=> one_to_one(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_87])]) ).
fof(f557,plain,
( spl17_68
<=> relation(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_68])]) ).
fof(f265,plain,
( spl17_21
<=> empty(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_21])]) ).
fof(f270,plain,
( spl17_22
<=> function(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_22])]) ).
fof(f433,plain,
( ~ relation(sK10)
| ~ empty(sK10)
| one_to_one(sK10)
| ~ spl17_8
| ~ spl17_21
| ~ spl17_22
| ~ spl17_32
| ~ spl17_47 ),
inference(forward_demodulation,[],[f432,f348]) ).
fof(f348,plain,
( sK10 = sK16
| ~ spl17_8
| ~ spl17_21
| ~ spl17_32 ),
inference(forward_demodulation,[],[f346,f344]) ).
fof(f346,plain,
( empty_set = sK16
| ~ spl17_21
| ~ spl17_32 ),
inference(resolution,[],[f324,f267]) ).
fof(f267,plain,
( empty(sK16)
| ~ spl17_21 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f432,plain,
( ~ empty(sK10)
| one_to_one(sK10)
| ~ relation(sK16)
| ~ spl17_8
| ~ spl17_21
| ~ spl17_22
| ~ spl17_32
| ~ spl17_47 ),
inference(forward_demodulation,[],[f431,f348]) ).
fof(f431,plain,
( one_to_one(sK10)
| ~ empty(sK16)
| ~ relation(sK16)
| ~ spl17_8
| ~ spl17_21
| ~ spl17_22
| ~ spl17_32
| ~ spl17_47 ),
inference(forward_demodulation,[],[f430,f348]) ).
fof(f430,plain,
( one_to_one(sK16)
| ~ empty(sK16)
| ~ relation(sK16)
| ~ spl17_22
| ~ spl17_47 ),
inference(resolution,[],[f417,f272]) ).
fof(f272,plain,
( function(sK16)
| ~ spl17_22 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f721,plain,
( ~ spl17_15
| ~ spl17_85
| spl17_86
| ~ spl17_16
| ~ spl17_47 ),
inference(avatar_split_clause,[],[f428,f416,f240,f718,f714,f235]) ).
fof(f235,plain,
( spl17_15
<=> relation(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_15])]) ).
fof(f714,plain,
( spl17_85
<=> empty(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_85])]) ).
fof(f718,plain,
( spl17_86
<=> one_to_one(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_86])]) ).
fof(f240,plain,
( spl17_16
<=> function(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_16])]) ).
fof(f428,plain,
( one_to_one(sK14)
| ~ empty(sK14)
| ~ relation(sK14)
| ~ spl17_16
| ~ spl17_47 ),
inference(resolution,[],[f417,f242]) ).
fof(f242,plain,
( function(sK14)
| ~ spl17_16 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f712,plain,
( spl17_84
| ~ spl17_42
| ~ spl17_44 ),
inference(avatar_split_clause,[],[f401,f387,f379,f710]) ).
fof(f710,plain,
( spl17_84
<=> ! [X2] :
( subset(sK4(X2),X2)
| empty(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_84])]) ).
fof(f387,plain,
( spl17_44
<=> ! [X0,X1] :
( subset(X0,X1)
| ~ element(X0,powerset(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_44])]) ).
fof(f401,plain,
( ! [X2] :
( subset(sK4(X2),X2)
| empty(X2) )
| ~ spl17_42
| ~ spl17_44 ),
inference(resolution,[],[f388,f380]) ).
fof(f388,plain,
( ! [X0,X1] :
( ~ element(X0,powerset(X1))
| subset(X0,X1) )
| ~ spl17_44 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f708,plain,
( spl17_83
| ~ spl17_8
| ~ spl17_32
| ~ spl17_33 ),
inference(avatar_split_clause,[],[f357,f327,f323,f200,f706]) ).
fof(f357,plain,
( ! [X0] :
( relation_dom(X0) = sK10
| ~ empty(X0) )
| ~ spl17_8
| ~ spl17_32
| ~ spl17_33 ),
inference(forward_demodulation,[],[f354,f344]) ).
fof(f354,plain,
( ! [X0] :
( ~ empty(X0)
| empty_set = relation_dom(X0) )
| ~ spl17_32
| ~ spl17_33 ),
inference(resolution,[],[f328,f324]) ).
fof(f666,plain,
( spl17_80
| ~ spl17_32
| ~ spl17_71 ),
inference(avatar_split_clause,[],[f645,f573,f323,f625]) ).
fof(f625,plain,
( spl17_80
<=> ! [X5] :
( sK10 = X5
| ~ empty(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_80])]) ).
fof(f645,plain,
( ! [X0] :
( sK10 = X0
| ~ empty(X0) )
| ~ spl17_32
| ~ spl17_71 ),
inference(forward_demodulation,[],[f324,f575]) ).
fof(f644,plain,
( ~ spl17_4
| ~ spl17_81 ),
inference(avatar_contradiction_clause,[],[f635]) ).
fof(f635,plain,
( $false
| ~ spl17_4
| ~ spl17_81 ),
inference(resolution,[],[f630,f182]) ).
fof(f630,plain,
( ! [X7] : ~ empty(X7)
| ~ spl17_81 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f629,plain,
( spl17_81
<=> ! [X7] : ~ empty(X7) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_81])]) ).
fof(f643,plain,
( ~ spl17_25
| ~ spl17_81 ),
inference(avatar_contradiction_clause,[],[f636]) ).
fof(f636,plain,
( $false
| ~ spl17_25
| ~ spl17_81 ),
inference(resolution,[],[f630,f285]) ).
fof(f642,plain,
( ~ spl17_8
| ~ spl17_81 ),
inference(avatar_contradiction_clause,[],[f637]) ).
fof(f637,plain,
( $false
| ~ spl17_8
| ~ spl17_81 ),
inference(resolution,[],[f630,f202]) ).
fof(f641,plain,
( ~ spl17_11
| ~ spl17_81 ),
inference(avatar_contradiction_clause,[],[f638]) ).
fof(f638,plain,
( $false
| ~ spl17_11
| ~ spl17_81 ),
inference(resolution,[],[f630,f217]) ).
fof(f217,plain,
( empty(sK12)
| ~ spl17_11 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f215,plain,
( spl17_11
<=> empty(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_11])]) ).
fof(f640,plain,
( ~ spl17_21
| ~ spl17_81 ),
inference(avatar_contradiction_clause,[],[f639]) ).
fof(f639,plain,
( $false
| ~ spl17_21
| ~ spl17_81 ),
inference(resolution,[],[f630,f267]) ).
fof(f634,plain,
( spl17_81
| spl17_82
| ~ spl17_8
| ~ spl17_25
| ~ spl17_32
| ~ spl17_35
| ~ spl17_50 ),
inference(avatar_split_clause,[],[f450,f442,f335,f323,f284,f200,f632,f629]) ).
fof(f450,plain,
( ! [X8,X7] :
( ~ in(X8,sK10)
| ~ empty(X7) )
| ~ spl17_8
| ~ spl17_25
| ~ spl17_32
| ~ spl17_35
| ~ spl17_50 ),
inference(forward_demodulation,[],[f449,f344]) ).
fof(f449,plain,
( ! [X8,X7] :
( ~ in(X8,empty_set)
| ~ empty(X7) )
| ~ spl17_25
| ~ spl17_32
| ~ spl17_35
| ~ spl17_50 ),
inference(forward_demodulation,[],[f448,f343]) ).
fof(f448,plain,
( ! [X8,X7] :
( ~ empty(X7)
| ~ in(X8,sK6(X7)) )
| ~ spl17_35
| ~ spl17_50 ),
inference(resolution,[],[f443,f336]) ).
fof(f627,plain,
( spl17_80
| ~ spl17_8
| ~ spl17_46 ),
inference(avatar_split_clause,[],[f408,f395,f200,f625]) ).
fof(f408,plain,
( ! [X5] :
( sK10 = X5
| ~ empty(X5) )
| ~ spl17_8
| ~ spl17_46 ),
inference(resolution,[],[f396,f202]) ).
fof(f623,plain,
( spl17_79
| ~ spl17_29
| ~ spl17_44 ),
inference(avatar_split_clause,[],[f399,f387,f300,f621]) ).
fof(f621,plain,
( spl17_79
<=> ! [X0] : subset(sK5(powerset(X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_79])]) ).
fof(f399,plain,
( ! [X0] : subset(sK5(powerset(X0)),X0)
| ~ spl17_29
| ~ spl17_44 ),
inference(resolution,[],[f388,f301]) ).
fof(f619,plain,
( spl17_78
| ~ spl17_27
| ~ spl17_33 ),
inference(avatar_split_clause,[],[f356,f327,f292,f617]) ).
fof(f617,plain,
( spl17_78
<=> ! [X2] :
( ~ empty(X2)
| function(relation_dom(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_78])]) ).
fof(f292,plain,
( spl17_27
<=> ! [X0] :
( function(X0)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_27])]) ).
fof(f356,plain,
( ! [X2] :
( ~ empty(X2)
| function(relation_dom(X2)) )
| ~ spl17_27
| ~ spl17_33 ),
inference(resolution,[],[f328,f293]) ).
fof(f293,plain,
( ! [X0] :
( ~ empty(X0)
| function(X0) )
| ~ spl17_27 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f613,plain,
( spl17_77
| ~ spl17_71
| ~ spl17_76 ),
inference(avatar_split_clause,[],[f609,f606,f573,f611]) ).
fof(f606,plain,
( spl17_76
<=> ! [X0] : empty_set = sK6(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_76])]) ).
fof(f609,plain,
( ! [X0] : sK6(X0) = sK10
| ~ spl17_71
| ~ spl17_76 ),
inference(forward_demodulation,[],[f607,f575]) ).
fof(f607,plain,
( ! [X0] : empty_set = sK6(X0)
| ~ spl17_76 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f608,plain,
( spl17_76
| ~ spl17_25
| ~ spl17_32 ),
inference(avatar_split_clause,[],[f343,f323,f284,f606]) ).
fof(f604,plain,
( spl17_75
| ~ spl17_6
| ~ spl17_71 ),
inference(avatar_split_clause,[],[f592,f573,f190,f601]) ).
fof(f601,plain,
( spl17_75
<=> relation_empty_yielding(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_75])]) ).
fof(f190,plain,
( spl17_6
<=> relation_empty_yielding(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_6])]) ).
fof(f592,plain,
( relation_empty_yielding(sK10)
| ~ spl17_6
| ~ spl17_71 ),
inference(superposition,[],[f192,f575]) ).
fof(f192,plain,
( relation_empty_yielding(empty_set)
| ~ spl17_6 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f590,plain,
( spl17_74
| ~ spl17_8
| ~ spl17_25
| ~ spl17_32
| ~ spl17_35
| ~ spl17_44 ),
inference(avatar_split_clause,[],[f403,f387,f335,f323,f284,f200,f588]) ).
fof(f588,plain,
( spl17_74
<=> ! [X1] : subset(sK10,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_74])]) ).
fof(f403,plain,
( ! [X1] : subset(sK10,X1)
| ~ spl17_8
| ~ spl17_25
| ~ spl17_32
| ~ spl17_35
| ~ spl17_44 ),
inference(forward_demodulation,[],[f402,f344]) ).
fof(f402,plain,
( ! [X1] : subset(empty_set,X1)
| ~ spl17_25
| ~ spl17_32
| ~ spl17_35
| ~ spl17_44 ),
inference(forward_demodulation,[],[f400,f343]) ).
fof(f400,plain,
( ! [X1] : subset(sK6(X1),X1)
| ~ spl17_35
| ~ spl17_44 ),
inference(resolution,[],[f388,f336]) ).
fof(f586,plain,
( spl17_73
| ~ spl17_8
| ~ spl17_21
| ~ spl17_32 ),
inference(avatar_split_clause,[],[f348,f323,f265,f200,f583]) ).
fof(f583,plain,
( spl17_73
<=> sK10 = sK16 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_73])]) ).
fof(f581,plain,
( spl17_72
| ~ spl17_8
| ~ spl17_11
| ~ spl17_32 ),
inference(avatar_split_clause,[],[f347,f323,f215,f200,f578]) ).
fof(f578,plain,
( spl17_72
<=> sK10 = sK12 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_72])]) ).
fof(f347,plain,
( sK10 = sK12
| ~ spl17_8
| ~ spl17_11
| ~ spl17_32 ),
inference(forward_demodulation,[],[f345,f344]) ).
fof(f345,plain,
( empty_set = sK12
| ~ spl17_11
| ~ spl17_32 ),
inference(resolution,[],[f324,f217]) ).
fof(f576,plain,
( spl17_71
| ~ spl17_8
| ~ spl17_32 ),
inference(avatar_split_clause,[],[f344,f323,f200,f573]) ).
fof(f570,plain,
( spl17_70
| ~ spl17_25
| ~ spl17_28 ),
inference(avatar_split_clause,[],[f314,f296,f284,f568]) ).
fof(f568,plain,
( spl17_70
<=> ! [X0] : relation(sK6(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_70])]) ).
fof(f296,plain,
( spl17_28
<=> ! [X0] :
( relation(X0)
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_28])]) ).
fof(f314,plain,
( ! [X0] : relation(sK6(X0))
| ~ spl17_25
| ~ spl17_28 ),
inference(resolution,[],[f297,f285]) ).
fof(f297,plain,
( ! [X0] :
( ~ empty(X0)
| relation(X0) )
| ~ spl17_28 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f565,plain,
( spl17_69
| ~ spl17_25
| ~ spl17_27 ),
inference(avatar_split_clause,[],[f304,f292,f284,f563]) ).
fof(f563,plain,
( spl17_69
<=> ! [X0] : function(sK6(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_69])]) ).
fof(f304,plain,
( ! [X0] : function(sK6(X0))
| ~ spl17_25
| ~ spl17_27 ),
inference(resolution,[],[f293,f285]) ).
fof(f560,plain,
( spl17_68
| ~ spl17_8
| ~ spl17_28 ),
inference(avatar_split_clause,[],[f315,f296,f200,f557]) ).
fof(f315,plain,
( relation(sK10)
| ~ spl17_8
| ~ spl17_28 ),
inference(resolution,[],[f297,f202]) ).
fof(f550,plain,
( spl17_67
| ~ spl17_11
| ~ spl17_27 ),
inference(avatar_split_clause,[],[f306,f292,f215,f547]) ).
fof(f547,plain,
( spl17_67
<=> function(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_67])]) ).
fof(f306,plain,
( function(sK12)
| ~ spl17_11
| ~ spl17_27 ),
inference(resolution,[],[f293,f217]) ).
fof(f544,plain,
( ~ spl17_1
| ~ spl17_65
| spl17_66
| ~ spl17_2
| ~ spl17_47 ),
inference(avatar_split_clause,[],[f427,f416,f170,f541,f537,f165]) ).
fof(f537,plain,
( spl17_65
<=> empty(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_65])]) ).
fof(f541,plain,
( spl17_66
<=> one_to_one(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_66])]) ).
fof(f427,plain,
( one_to_one(sK3)
| ~ empty(sK3)
| ~ relation(sK3)
| ~ spl17_2
| ~ spl17_47 ),
inference(resolution,[],[f417,f172]) ).
fof(f172,plain,
( function(sK3)
| ~ spl17_2 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f535,plain,
( spl17_64
| ~ spl17_3
| ~ spl17_40 ),
inference(avatar_split_clause,[],[f372,f368,f175,f532]) ).
fof(f532,plain,
( spl17_64
<=> element(sK2,relation_dom(relation_rng_restriction(sK1,sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_64])]) ).
fof(f372,plain,
( element(sK2,relation_dom(relation_rng_restriction(sK1,sK3)))
| ~ spl17_3
| ~ spl17_40 ),
inference(resolution,[],[f369,f177]) ).
fof(f530,plain,
( ~ spl17_63
| ~ spl17_3
| ~ spl17_39 ),
inference(avatar_split_clause,[],[f371,f364,f175,f527]) ).
fof(f527,plain,
( spl17_63
<=> in(relation_dom(relation_rng_restriction(sK1,sK3)),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_63])]) ).
fof(f371,plain,
( ~ in(relation_dom(relation_rng_restriction(sK1,sK3)),sK2)
| ~ spl17_3
| ~ spl17_39 ),
inference(resolution,[],[f365,f177]) ).
fof(f523,plain,
spl17_62,
inference(avatar_split_clause,[],[f141,f521]) ).
fof(f141,plain,
! [X2,X0,X1] :
( relation_rng_restriction(X0,X2) = X1
| apply(X2,sK8(X1,X2)) != apply(X1,sK8(X1,X2))
| ~ sP0(X0,X2,X1)
| ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( ! [X2] :
( ( ( relation_rng_restriction(X0,X2) = X1
| ( apply(X2,sK8(X1,X2)) != apply(X1,sK8(X1,X2))
& in(sK8(X1,X2),relation_dom(X1)) )
| ~ sP0(X0,X2,X1) )
& ( ( ! [X4] :
( apply(X2,X4) = apply(X1,X4)
| ~ in(X4,relation_dom(X1)) )
& sP0(X0,X2,X1) )
| relation_rng_restriction(X0,X2) != X1 ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f80,f81]) ).
fof(f81,plain,
! [X1,X2] :
( ? [X3] :
( apply(X2,X3) != apply(X1,X3)
& in(X3,relation_dom(X1)) )
=> ( apply(X2,sK8(X1,X2)) != apply(X1,sK8(X1,X2))
& in(sK8(X1,X2),relation_dom(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
! [X0,X1] :
( ! [X2] :
( ( ( relation_rng_restriction(X0,X2) = X1
| ? [X3] :
( apply(X2,X3) != apply(X1,X3)
& in(X3,relation_dom(X1)) )
| ~ sP0(X0,X2,X1) )
& ( ( ! [X4] :
( apply(X2,X4) = apply(X1,X4)
| ~ in(X4,relation_dom(X1)) )
& sP0(X0,X2,X1) )
| relation_rng_restriction(X0,X2) != X1 ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( ! [X2] :
( ( ( relation_rng_restriction(X0,X2) = X1
| ? [X3] :
( apply(X2,X3) != apply(X1,X3)
& in(X3,relation_dom(X1)) )
| ~ sP0(X0,X2,X1) )
& ( ( ! [X3] :
( apply(X2,X3) = apply(X1,X3)
| ~ in(X3,relation_dom(X1)) )
& sP0(X0,X2,X1) )
| relation_rng_restriction(X0,X2) != X1 ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( ! [X2] :
( ( ( relation_rng_restriction(X0,X2) = X1
| ? [X3] :
( apply(X2,X3) != apply(X1,X3)
& in(X3,relation_dom(X1)) )
| ~ sP0(X0,X2,X1) )
& ( ( ! [X3] :
( apply(X2,X3) = apply(X1,X3)
| ~ in(X3,relation_dom(X1)) )
& sP0(X0,X2,X1) )
| relation_rng_restriction(X0,X2) != X1 ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( ! [X2] :
( ( relation_rng_restriction(X0,X2) = X1
<=> ( ! [X3] :
( apply(X2,X3) = apply(X1,X3)
| ~ in(X3,relation_dom(X1)) )
& sP0(X0,X2,X1) ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(definition_folding,[],[f57,f63]) ).
fof(f63,plain,
! [X0,X2,X1] :
( sP0(X0,X2,X1)
<=> ! [X4] :
( in(X4,relation_dom(X1))
<=> ( in(apply(X2,X4),X0)
& in(X4,relation_dom(X2)) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f57,plain,
! [X0,X1] :
( ! [X2] :
( ( relation_rng_restriction(X0,X2) = X1
<=> ( ! [X3] :
( apply(X2,X3) = apply(X1,X3)
| ~ in(X3,relation_dom(X1)) )
& ! [X4] :
( in(X4,relation_dom(X1))
<=> ( in(apply(X2,X4),X0)
& in(X4,relation_dom(X2)) ) ) ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ! [X2] :
( ( relation_rng_restriction(X0,X2) = X1
<=> ( ! [X3] :
( apply(X2,X3) = apply(X1,X3)
| ~ in(X3,relation_dom(X1)) )
& ! [X4] :
( in(X4,relation_dom(X1))
<=> ( in(apply(X2,X4),X0)
& in(X4,relation_dom(X2)) ) ) ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( relation_rng_restriction(X0,X2) = X1
<=> ( ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X2,X3) = apply(X1,X3) )
& ! [X4] :
( in(X4,relation_dom(X1))
<=> ( in(apply(X2,X4),X0)
& in(X4,relation_dom(X2)) ) ) ) ) ) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( relation_rng_restriction(X0,X2) = X1
<=> ( ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X2,X3) = apply(X1,X3) )
& ! [X3] :
( in(X3,relation_dom(X1))
<=> ( in(apply(X2,X3),X0)
& in(X3,relation_dom(X2)) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.aldCqLT7GD/Vampire---4.8_613',t85_funct_1) ).
fof(f517,plain,
spl17_61,
inference(avatar_split_clause,[],[f137,f515]) ).
fof(f515,plain,
( spl17_61
<=> ! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ in(apply(X1,sK7(X0,X1,X2)),X0)
| ~ in(sK7(X0,X1,X2),relation_dom(X1))
| ~ in(sK7(X0,X1,X2),relation_dom(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_61])]) ).
fof(f137,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| ~ in(apply(X1,sK7(X0,X1,X2)),X0)
| ~ in(sK7(X0,X1,X2),relation_dom(X1))
| ~ in(sK7(X0,X1,X2),relation_dom(X2)) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( ( ~ in(apply(X1,sK7(X0,X1,X2)),X0)
| ~ in(sK7(X0,X1,X2),relation_dom(X1))
| ~ in(sK7(X0,X1,X2),relation_dom(X2)) )
& ( ( in(apply(X1,sK7(X0,X1,X2)),X0)
& in(sK7(X0,X1,X2),relation_dom(X1)) )
| in(sK7(X0,X1,X2),relation_dom(X2)) ) ) )
& ( ! [X4] :
( ( in(X4,relation_dom(X2))
| ~ in(apply(X1,X4),X0)
| ~ in(X4,relation_dom(X1)) )
& ( ( in(apply(X1,X4),X0)
& in(X4,relation_dom(X1)) )
| ~ in(X4,relation_dom(X2)) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f75,f76]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ in(apply(X1,X3),X0)
| ~ in(X3,relation_dom(X1))
| ~ in(X3,relation_dom(X2)) )
& ( ( in(apply(X1,X3),X0)
& in(X3,relation_dom(X1)) )
| in(X3,relation_dom(X2)) ) )
=> ( ( ~ in(apply(X1,sK7(X0,X1,X2)),X0)
| ~ in(sK7(X0,X1,X2),relation_dom(X1))
| ~ in(sK7(X0,X1,X2),relation_dom(X2)) )
& ( ( in(apply(X1,sK7(X0,X1,X2)),X0)
& in(sK7(X0,X1,X2),relation_dom(X1)) )
| in(sK7(X0,X1,X2),relation_dom(X2)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ? [X3] :
( ( ~ in(apply(X1,X3),X0)
| ~ in(X3,relation_dom(X1))
| ~ in(X3,relation_dom(X2)) )
& ( ( in(apply(X1,X3),X0)
& in(X3,relation_dom(X1)) )
| in(X3,relation_dom(X2)) ) ) )
& ( ! [X4] :
( ( in(X4,relation_dom(X2))
| ~ in(apply(X1,X4),X0)
| ~ in(X4,relation_dom(X1)) )
& ( ( in(apply(X1,X4),X0)
& in(X4,relation_dom(X1)) )
| ~ in(X4,relation_dom(X2)) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
! [X0,X2,X1] :
( ( sP0(X0,X2,X1)
| ? [X4] :
( ( ~ in(apply(X2,X4),X0)
| ~ in(X4,relation_dom(X2))
| ~ in(X4,relation_dom(X1)) )
& ( ( in(apply(X2,X4),X0)
& in(X4,relation_dom(X2)) )
| in(X4,relation_dom(X1)) ) ) )
& ( ! [X4] :
( ( in(X4,relation_dom(X1))
| ~ in(apply(X2,X4),X0)
| ~ in(X4,relation_dom(X2)) )
& ( ( in(apply(X2,X4),X0)
& in(X4,relation_dom(X2)) )
| ~ in(X4,relation_dom(X1)) ) )
| ~ sP0(X0,X2,X1) ) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0,X2,X1] :
( ( sP0(X0,X2,X1)
| ? [X4] :
( ( ~ in(apply(X2,X4),X0)
| ~ in(X4,relation_dom(X2))
| ~ in(X4,relation_dom(X1)) )
& ( ( in(apply(X2,X4),X0)
& in(X4,relation_dom(X2)) )
| in(X4,relation_dom(X1)) ) ) )
& ( ! [X4] :
( ( in(X4,relation_dom(X1))
| ~ in(apply(X2,X4),X0)
| ~ in(X4,relation_dom(X2)) )
& ( ( in(apply(X2,X4),X0)
& in(X4,relation_dom(X2)) )
| ~ in(X4,relation_dom(X1)) ) )
| ~ sP0(X0,X2,X1) ) ),
inference(nnf_transformation,[],[f63]) ).
fof(f512,plain,
spl17_60,
inference(avatar_split_clause,[],[f139,f510]) ).
fof(f139,plain,
! [X2,X0,X1,X4] :
( apply(X2,X4) = apply(X1,X4)
| ~ in(X4,relation_dom(X1))
| relation_rng_restriction(X0,X2) != X1
| ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f508,plain,
spl17_59,
inference(avatar_split_clause,[],[f140,f506]) ).
fof(f506,plain,
( spl17_59
<=> ! [X2,X0,X1] :
( relation_rng_restriction(X0,X2) = X1
| in(sK8(X1,X2),relation_dom(X1))
| ~ sP0(X0,X2,X1)
| ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_59])]) ).
fof(f140,plain,
! [X2,X0,X1] :
( relation_rng_restriction(X0,X2) = X1
| in(sK8(X1,X2),relation_dom(X1))
| ~ sP0(X0,X2,X1)
| ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f497,plain,
spl17_58,
inference(avatar_split_clause,[],[f136,f495]) ).
fof(f136,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| in(apply(X1,sK7(X0,X1,X2)),X0)
| in(sK7(X0,X1,X2),relation_dom(X2)) ),
inference(cnf_transformation,[],[f77]) ).
fof(f486,plain,
spl17_57,
inference(avatar_split_clause,[],[f135,f484]) ).
fof(f135,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| in(sK7(X0,X1,X2),relation_dom(X1))
| in(sK7(X0,X1,X2),relation_dom(X2)) ),
inference(cnf_transformation,[],[f77]) ).
fof(f481,plain,
spl17_56,
inference(avatar_split_clause,[],[f138,f479]) ).
fof(f138,plain,
! [X2,X0,X1] :
( sP0(X0,X2,X1)
| relation_rng_restriction(X0,X2) != X1
| ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f477,plain,
spl17_55,
inference(avatar_split_clause,[],[f134,f475]) ).
fof(f134,plain,
! [X2,X0,X1,X4] :
( in(X4,relation_dom(X2))
| ~ in(apply(X1,X4),X0)
| ~ in(X4,relation_dom(X1))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f77]) ).
fof(f473,plain,
spl17_54,
inference(avatar_split_clause,[],[f133,f471]) ).
fof(f471,plain,
( spl17_54
<=> ! [X2,X4,X0,X1] :
( in(apply(X1,X4),X0)
| ~ in(X4,relation_dom(X2))
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_54])]) ).
fof(f133,plain,
! [X2,X0,X1,X4] :
( in(apply(X1,X4),X0)
| ~ in(X4,relation_dom(X2))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f77]) ).
fof(f469,plain,
spl17_53,
inference(avatar_split_clause,[],[f132,f467]) ).
fof(f467,plain,
( spl17_53
<=> ! [X4,X0,X1,X2] :
( in(X4,relation_dom(X1))
| ~ in(X4,relation_dom(X2))
| ~ sP0(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_53])]) ).
fof(f132,plain,
! [X2,X0,X1,X4] :
( in(X4,relation_dom(X1))
| ~ in(X4,relation_dom(X2))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f77]) ).
fof(f465,plain,
( ~ spl17_52
| ~ spl17_33
| spl17_41 ),
inference(avatar_split_clause,[],[f414,f374,f327,f462]) ).
fof(f462,plain,
( spl17_52
<=> empty(relation_rng_restriction(sK1,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_52])]) ).
fof(f374,plain,
( spl17_41
<=> empty(relation_dom(relation_rng_restriction(sK1,sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_41])]) ).
fof(f414,plain,
( ~ empty(relation_rng_restriction(sK1,sK3))
| ~ spl17_33
| spl17_41 ),
inference(resolution,[],[f376,f328]) ).
fof(f376,plain,
( ~ empty(relation_dom(relation_rng_restriction(sK1,sK3)))
| spl17_41 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f454,plain,
spl17_51,
inference(avatar_split_clause,[],[f146,f452]) ).
fof(f146,plain,
! [X2,X0,X1] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X2))
& in(X0,X1) )
=> element(X0,X2) ),
file('/export/starexec/sandbox/tmp/tmp.aldCqLT7GD/Vampire---4.8_613',t4_subset) ).
fof(f444,plain,
spl17_50,
inference(avatar_split_clause,[],[f147,f442]) ).
fof(f147,plain,
! [X2,X0,X1] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1,X2] :
~ ( empty(X2)
& element(X1,powerset(X2))
& in(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.aldCqLT7GD/Vampire---4.8_613',t5_subset) ).
fof(f426,plain,
spl17_49,
inference(avatar_split_clause,[],[f131,f424]) ).
fof(f131,plain,
! [X0,X1] :
( function(relation_rng_restriction(X0,X1))
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ( function(relation_rng_restriction(X0,X1))
& relation(relation_rng_restriction(X0,X1)) )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ( function(relation_rng_restriction(X0,X1))
& relation(relation_rng_restriction(X0,X1)) )
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( function(relation_rng_restriction(X0,X1))
& relation(relation_rng_restriction(X0,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.aldCqLT7GD/Vampire---4.8_613',fc5_funct_1) ).
fof(f422,plain,
spl17_48,
inference(avatar_split_clause,[],[f129,f420]) ).
fof(f129,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.aldCqLT7GD/Vampire---4.8_613',t2_subset) ).
fof(f418,plain,
spl17_47,
inference(avatar_split_clause,[],[f121,f416]) ).
fof(f121,plain,
! [X0] :
( one_to_one(X0)
| ~ function(X0)
| ~ empty(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ( one_to_one(X0)
& function(X0)
& relation(X0) )
| ~ function(X0)
| ~ empty(X0)
| ~ relation(X0) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ( one_to_one(X0)
& function(X0)
& relation(X0) )
| ~ function(X0)
| ~ empty(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ( function(X0)
& empty(X0)
& relation(X0) )
=> ( one_to_one(X0)
& function(X0)
& relation(X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.aldCqLT7GD/Vampire---4.8_613',cc2_funct_1) ).
fof(f397,plain,
spl17_46,
inference(avatar_split_clause,[],[f144,f395]) ).
fof(f144,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] :
~ ( empty(X1)
& X0 != X1
& empty(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aldCqLT7GD/Vampire---4.8_613',t8_boole) ).
fof(f393,plain,
spl17_45,
inference(avatar_split_clause,[],[f143,f391]) ).
fof(f143,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( ( element(X0,powerset(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ element(X0,powerset(X1)) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.aldCqLT7GD/Vampire---4.8_613',t3_subset) ).
fof(f389,plain,
spl17_44,
inference(avatar_split_clause,[],[f142,f387]) ).
fof(f142,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f385,plain,
spl17_43,
inference(avatar_split_clause,[],[f118,f383]) ).
fof(f383,plain,
( spl17_43
<=> ! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_43])]) ).
fof(f118,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| ~ relation(X0)
| empty(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ( relation(X0)
& ~ empty(X0) )
=> ~ empty(relation_dom(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.aldCqLT7GD/Vampire---4.8_613',fc5_relat_1) ).
fof(f381,plain,
spl17_42,
inference(avatar_split_clause,[],[f111,f379]) ).
fof(f111,plain,
! [X0] :
( element(sK4(X0),powerset(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ( ~ empty(sK4(X0))
& element(sK4(X0),powerset(X0)) )
| empty(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f40,f67]) ).
fof(f67,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) )
=> ( ~ empty(sK4(X0))
& element(sK4(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X0] :
( ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) )
| empty(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( ~ empty(X0)
=> ? [X1] :
( ~ empty(X1)
& element(X1,powerset(X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.aldCqLT7GD/Vampire---4.8_613',rc1_subset_1) ).
fof(f377,plain,
( ~ spl17_41
| ~ spl17_3
| ~ spl17_36 ),
inference(avatar_split_clause,[],[f358,f339,f175,f374]) ).
fof(f358,plain,
( ~ empty(relation_dom(relation_rng_restriction(sK1,sK3)))
| ~ spl17_3
| ~ spl17_36 ),
inference(resolution,[],[f340,f177]) ).
fof(f370,plain,
spl17_40,
inference(avatar_split_clause,[],[f128,f368]) ).
fof(f128,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.aldCqLT7GD/Vampire---4.8_613',t1_subset) ).
fof(f366,plain,
spl17_39,
inference(avatar_split_clause,[],[f127,f364]) ).
fof(f127,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.aldCqLT7GD/Vampire---4.8_613',antisymmetry_r2_hidden) ).
fof(f362,plain,
spl17_38,
inference(avatar_split_clause,[],[f126,f360]) ).
fof(f126,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0,X1] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.aldCqLT7GD/Vampire---4.8_613',dt_k8_relat_1) ).
fof(f353,plain,
( spl17_37
| ~ spl17_8
| ~ spl17_27 ),
inference(avatar_split_clause,[],[f305,f292,f200,f350]) ).
fof(f350,plain,
( spl17_37
<=> function(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_37])]) ).
fof(f305,plain,
( function(sK10)
| ~ spl17_8
| ~ spl17_27 ),
inference(resolution,[],[f293,f202]) ).
fof(f341,plain,
spl17_36,
inference(avatar_split_clause,[],[f145,f339]) ).
fof(f145,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.aldCqLT7GD/Vampire---4.8_613',t7_boole) ).
fof(f337,plain,
spl17_35,
inference(avatar_split_clause,[],[f123,f335]) ).
fof(f123,plain,
! [X0] : element(sK6(X0),powerset(X0)),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( empty(sK6(X0))
& element(sK6(X0),powerset(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f25,f71]) ).
fof(f71,plain,
! [X0] :
( ? [X1] :
( empty(X1)
& element(X1,powerset(X0)) )
=> ( empty(sK6(X0))
& element(sK6(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f25,axiom,
! [X0] :
? [X1] :
( empty(X1)
& element(X1,powerset(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.aldCqLT7GD/Vampire---4.8_613',rc2_subset_1) ).
fof(f333,plain,
spl17_34,
inference(avatar_split_clause,[],[f117,f331]) ).
fof(f331,plain,
( spl17_34
<=> ! [X0] :
( relation(relation_dom(X0))
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_34])]) ).
fof(f117,plain,
! [X0] :
( relation(relation_dom(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ( relation(relation_dom(X0))
& empty(relation_dom(X0)) )
| ~ empty(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( empty(X0)
=> ( relation(relation_dom(X0))
& empty(relation_dom(X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.aldCqLT7GD/Vampire---4.8_613',fc7_relat_1) ).
fof(f329,plain,
spl17_33,
inference(avatar_split_clause,[],[f116,f327]) ).
fof(f116,plain,
! [X0] :
( empty(relation_dom(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f325,plain,
spl17_32,
inference(avatar_split_clause,[],[f115,f323]) ).
fof(f115,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox/tmp/tmp.aldCqLT7GD/Vampire---4.8_613',t6_boole) ).
fof(f321,plain,
spl17_31,
inference(avatar_split_clause,[],[f112,f319]) ).
fof(f319,plain,
( spl17_31
<=> ! [X0] :
( ~ empty(sK4(X0))
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_31])]) ).
fof(f112,plain,
! [X0] :
( ~ empty(sK4(X0))
| empty(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f312,plain,
( spl17_30
| ~ spl17_4
| ~ spl17_27 ),
inference(avatar_split_clause,[],[f303,f292,f180,f309]) ).
fof(f309,plain,
( spl17_30
<=> function(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_30])]) ).
fof(f303,plain,
( function(empty_set)
| ~ spl17_4
| ~ spl17_27 ),
inference(resolution,[],[f293,f182]) ).
fof(f302,plain,
spl17_29,
inference(avatar_split_clause,[],[f122,f300]) ).
fof(f122,plain,
! [X0] : element(sK5(X0),X0),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] : element(sK5(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f5,f69]) ).
fof(f69,plain,
! [X0] :
( ? [X1] : element(X1,X0)
=> element(sK5(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f5,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.aldCqLT7GD/Vampire---4.8_613',existence_m1_subset_1) ).
fof(f298,plain,
spl17_28,
inference(avatar_split_clause,[],[f114,f296]) ).
fof(f114,plain,
! [X0] :
( relation(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( relation(X0)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( empty(X0)
=> relation(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aldCqLT7GD/Vampire---4.8_613',cc1_relat_1) ).
fof(f294,plain,
spl17_27,
inference(avatar_split_clause,[],[f113,f292]) ).
fof(f113,plain,
! [X0] :
( function(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( function(X0)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( empty(X0)
=> function(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aldCqLT7GD/Vampire---4.8_613',cc1_funct_1) ).
fof(f290,plain,
spl17_26,
inference(avatar_split_clause,[],[f125,f288]) ).
fof(f288,plain,
( spl17_26
<=> ! [X0] : subset(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_26])]) ).
fof(f125,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.aldCqLT7GD/Vampire---4.8_613',reflexivity_r1_tarski) ).
fof(f286,plain,
spl17_25,
inference(avatar_split_clause,[],[f124,f284]) ).
fof(f124,plain,
! [X0] : empty(sK6(X0)),
inference(cnf_transformation,[],[f72]) ).
fof(f282,plain,
spl17_24,
inference(avatar_split_clause,[],[f110,f280]) ).
fof(f280,plain,
( spl17_24
<=> ! [X0] : ~ empty(powerset(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_24])]) ).
fof(f110,plain,
! [X0] : ~ empty(powerset(X0)),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] : ~ empty(powerset(X0)),
file('/export/starexec/sandbox/tmp/tmp.aldCqLT7GD/Vampire---4.8_613',fc1_subset_1) ).
fof(f278,plain,
~ spl17_23,
inference(avatar_split_clause,[],[f103,f275]) ).
fof(f103,plain,
apply(relation_rng_restriction(sK1,sK3),sK2) != apply(sK3,sK2),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
( apply(relation_rng_restriction(sK1,sK3),sK2) != apply(sK3,sK2)
& in(sK2,relation_dom(relation_rng_restriction(sK1,sK3)))
& function(sK3)
& relation(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f39,f65]) ).
fof(f65,plain,
( ? [X0,X1,X2] :
( apply(relation_rng_restriction(X0,X2),X1) != apply(X2,X1)
& in(X1,relation_dom(relation_rng_restriction(X0,X2)))
& function(X2)
& relation(X2) )
=> ( apply(relation_rng_restriction(sK1,sK3),sK2) != apply(sK3,sK2)
& in(sK2,relation_dom(relation_rng_restriction(sK1,sK3)))
& function(sK3)
& relation(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
? [X0,X1,X2] :
( apply(relation_rng_restriction(X0,X2),X1) != apply(X2,X1)
& in(X1,relation_dom(relation_rng_restriction(X0,X2)))
& function(X2)
& relation(X2) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
? [X0,X1,X2] :
( apply(relation_rng_restriction(X0,X2),X1) != apply(X2,X1)
& in(X1,relation_dom(relation_rng_restriction(X0,X2)))
& function(X2)
& relation(X2) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,negated_conjecture,
~ ! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X1,relation_dom(relation_rng_restriction(X0,X2)))
=> apply(relation_rng_restriction(X0,X2),X1) = apply(X2,X1) ) ),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
! [X0,X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X1,relation_dom(relation_rng_restriction(X0,X2)))
=> apply(relation_rng_restriction(X0,X2),X1) = apply(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.aldCqLT7GD/Vampire---4.8_613',t87_funct_1) ).
fof(f273,plain,
spl17_22,
inference(avatar_split_clause,[],[f163,f270]) ).
fof(f163,plain,
function(sK16),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( function(sK16)
& empty(sK16)
& relation(sK16) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f22,f98]) ).
fof(f98,plain,
( ? [X0] :
( function(X0)
& empty(X0)
& relation(X0) )
=> ( function(sK16)
& empty(sK16)
& relation(sK16) ) ),
introduced(choice_axiom,[]) ).
fof(f22,axiom,
? [X0] :
( function(X0)
& empty(X0)
& relation(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aldCqLT7GD/Vampire---4.8_613',rc2_funct_1) ).
fof(f268,plain,
spl17_21,
inference(avatar_split_clause,[],[f162,f265]) ).
fof(f162,plain,
empty(sK16),
inference(cnf_transformation,[],[f99]) ).
fof(f263,plain,
spl17_20,
inference(avatar_split_clause,[],[f161,f260]) ).
fof(f260,plain,
( spl17_20
<=> relation(sK16) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_20])]) ).
fof(f161,plain,
relation(sK16),
inference(cnf_transformation,[],[f99]) ).
fof(f258,plain,
spl17_19,
inference(avatar_split_clause,[],[f160,f255]) ).
fof(f255,plain,
( spl17_19
<=> one_to_one(sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_19])]) ).
fof(f160,plain,
one_to_one(sK15),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( one_to_one(sK15)
& function(sK15)
& relation(sK15) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f23,f96]) ).
fof(f96,plain,
( ? [X0] :
( one_to_one(X0)
& function(X0)
& relation(X0) )
=> ( one_to_one(sK15)
& function(sK15)
& relation(sK15) ) ),
introduced(choice_axiom,[]) ).
fof(f23,axiom,
? [X0] :
( one_to_one(X0)
& function(X0)
& relation(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aldCqLT7GD/Vampire---4.8_613',rc3_funct_1) ).
fof(f253,plain,
spl17_18,
inference(avatar_split_clause,[],[f159,f250]) ).
fof(f250,plain,
( spl17_18
<=> function(sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_18])]) ).
fof(f159,plain,
function(sK15),
inference(cnf_transformation,[],[f97]) ).
fof(f248,plain,
spl17_17,
inference(avatar_split_clause,[],[f158,f245]) ).
fof(f245,plain,
( spl17_17
<=> relation(sK15) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_17])]) ).
fof(f158,plain,
relation(sK15),
inference(cnf_transformation,[],[f97]) ).
fof(f243,plain,
spl17_16,
inference(avatar_split_clause,[],[f157,f240]) ).
fof(f157,plain,
function(sK14),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
( function(sK14)
& relation(sK14) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f21,f94]) ).
fof(f94,plain,
( ? [X0] :
( function(X0)
& relation(X0) )
=> ( function(sK14)
& relation(sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f21,axiom,
? [X0] :
( function(X0)
& relation(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aldCqLT7GD/Vampire---4.8_613',rc1_funct_1) ).
fof(f238,plain,
spl17_15,
inference(avatar_split_clause,[],[f156,f235]) ).
fof(f156,plain,
relation(sK14),
inference(cnf_transformation,[],[f95]) ).
fof(f233,plain,
spl17_14,
inference(avatar_split_clause,[],[f155,f230]) ).
fof(f230,plain,
( spl17_14
<=> relation_empty_yielding(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_14])]) ).
fof(f155,plain,
relation_empty_yielding(sK13),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( relation_empty_yielding(sK13)
& relation(sK13) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f28,f92]) ).
fof(f92,plain,
( ? [X0] :
( relation_empty_yielding(X0)
& relation(X0) )
=> ( relation_empty_yielding(sK13)
& relation(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f28,axiom,
? [X0] :
( relation_empty_yielding(X0)
& relation(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aldCqLT7GD/Vampire---4.8_613',rc3_relat_1) ).
fof(f228,plain,
spl17_13,
inference(avatar_split_clause,[],[f154,f225]) ).
fof(f225,plain,
( spl17_13
<=> relation(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_13])]) ).
fof(f154,plain,
relation(sK13),
inference(cnf_transformation,[],[f93]) ).
fof(f223,plain,
spl17_12,
inference(avatar_split_clause,[],[f153,f220]) ).
fof(f220,plain,
( spl17_12
<=> relation(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_12])]) ).
fof(f153,plain,
relation(sK12),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
( relation(sK12)
& empty(sK12) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f26,f90]) ).
fof(f90,plain,
( ? [X0] :
( relation(X0)
& empty(X0) )
=> ( relation(sK12)
& empty(sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f26,axiom,
? [X0] :
( relation(X0)
& empty(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aldCqLT7GD/Vampire---4.8_613',rc1_relat_1) ).
fof(f218,plain,
spl17_11,
inference(avatar_split_clause,[],[f152,f215]) ).
fof(f152,plain,
empty(sK12),
inference(cnf_transformation,[],[f91]) ).
fof(f213,plain,
spl17_10,
inference(avatar_split_clause,[],[f151,f210]) ).
fof(f210,plain,
( spl17_10
<=> relation(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_10])]) ).
fof(f151,plain,
relation(sK11),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
( relation(sK11)
& ~ empty(sK11) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f27,f88]) ).
fof(f88,plain,
( ? [X0] :
( relation(X0)
& ~ empty(X0) )
=> ( relation(sK11)
& ~ empty(sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f27,axiom,
? [X0] :
( relation(X0)
& ~ empty(X0) ),
file('/export/starexec/sandbox/tmp/tmp.aldCqLT7GD/Vampire---4.8_613',rc2_relat_1) ).
fof(f208,plain,
~ spl17_9,
inference(avatar_split_clause,[],[f150,f205]) ).
fof(f205,plain,
( spl17_9
<=> empty(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_9])]) ).
fof(f150,plain,
~ empty(sK11),
inference(cnf_transformation,[],[f89]) ).
fof(f203,plain,
spl17_8,
inference(avatar_split_clause,[],[f149,f200]) ).
fof(f149,plain,
empty(sK10),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
empty(sK10),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f29,f86]) ).
fof(f86,plain,
( ? [X0] : empty(X0)
=> empty(sK10) ),
introduced(choice_axiom,[]) ).
fof(f29,axiom,
? [X0] : empty(X0),
file('/export/starexec/sandbox/tmp/tmp.aldCqLT7GD/Vampire---4.8_613',rc1_xboole_0) ).
fof(f198,plain,
~ spl17_7,
inference(avatar_split_clause,[],[f148,f195]) ).
fof(f195,plain,
( spl17_7
<=> empty(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_7])]) ).
fof(f148,plain,
~ empty(sK9),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
~ empty(sK9),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f30,f84]) ).
fof(f84,plain,
( ? [X0] : ~ empty(X0)
=> ~ empty(sK9) ),
introduced(choice_axiom,[]) ).
fof(f30,axiom,
? [X0] : ~ empty(X0),
file('/export/starexec/sandbox/tmp/tmp.aldCqLT7GD/Vampire---4.8_613',rc2_xboole_0) ).
fof(f193,plain,
spl17_6,
inference(avatar_split_clause,[],[f109,f190]) ).
fof(f109,plain,
relation_empty_yielding(empty_set),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( relation_empty_yielding(empty_set)
& relation(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox/tmp/tmp.aldCqLT7GD/Vampire---4.8_613',fc12_relat_1) ).
fof(f188,plain,
spl17_5,
inference(avatar_split_clause,[],[f106,f185]) ).
fof(f185,plain,
( spl17_5
<=> relation(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).
fof(f106,plain,
relation(empty_set),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( relation(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox/tmp/tmp.aldCqLT7GD/Vampire---4.8_613',fc4_relat_1) ).
fof(f183,plain,
spl17_4,
inference(avatar_split_clause,[],[f104,f180]) ).
fof(f104,plain,
empty(empty_set),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
empty(empty_set),
file('/export/starexec/sandbox/tmp/tmp.aldCqLT7GD/Vampire---4.8_613',fc1_xboole_0) ).
fof(f178,plain,
spl17_3,
inference(avatar_split_clause,[],[f102,f175]) ).
fof(f102,plain,
in(sK2,relation_dom(relation_rng_restriction(sK1,sK3))),
inference(cnf_transformation,[],[f66]) ).
fof(f173,plain,
spl17_2,
inference(avatar_split_clause,[],[f101,f170]) ).
fof(f101,plain,
function(sK3),
inference(cnf_transformation,[],[f66]) ).
fof(f168,plain,
spl17_1,
inference(avatar_split_clause,[],[f100,f165]) ).
fof(f100,plain,
relation(sK3),
inference(cnf_transformation,[],[f66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU045+1 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n022.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 30 14:03:53 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.42 % (895)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.43 % (904)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.15/0.43 % (897)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.15/0.43 % (899)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.15/0.43 % (901)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.15/0.43 % (900)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.15/0.43 % (902)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.15/0.43 % (903)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.15/0.43 TRYING [1]
% 0.15/0.43 TRYING [2]
% 0.15/0.44 TRYING [3]
% 0.21/0.44 TRYING [1]
% 0.21/0.44 TRYING [2]
% 0.21/0.45 TRYING [3]
% 0.21/0.45 TRYING [1]
% 0.21/0.45 % (902)First to succeed.
% 0.21/0.45 TRYING [2]
% 0.21/0.45 TRYING [4]
% 0.21/0.46 % (902)Refutation found. Thanks to Tanya!
% 0.21/0.46 % SZS status Theorem for Vampire---4
% 0.21/0.46 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.46 % (902)------------------------------
% 0.21/0.46 % (902)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.46 % (902)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.46 % (902)Termination reason: Refutation
% 0.21/0.46
% 0.21/0.46 % (902)Memory used [KB]: 6140
% 0.21/0.46 % (902)Time elapsed: 0.029 s
% 0.21/0.46 % (902)------------------------------
% 0.21/0.46 % (902)------------------------------
% 0.21/0.46 % (895)Success in time 0.089 s
% 0.21/0.46 900 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.aldCqLT7GD/Vampire---4.8_613
% 0.21/0.46 % (900)------------------------------
% 0.21/0.46 % (900)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.46 % (900)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.46 % (900)Termination reason: Unknown
% 0.21/0.46 % (900)Termination phase: Saturation
% 0.21/0.46
% 0.21/0.46 % (900)Memory used [KB]: 5373
% 0.21/0.46 % (900)Time elapsed: 0.033 s
% 0.21/0.46 % (900)------------------------------
% 0.21/0.46 % (900)------------------------------
% 0.21/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------