TSTP Solution File: SYN938+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYN938+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 19:36:08 EDT 2022
% Result : Theorem 1.91s 0.60s
% Output : Refutation 1.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 167
% Syntax : Number of formulae : 860 ( 14 unt; 0 def)
% Number of atoms : 5319 ( 0 equ)
% Maximal formula atoms : 203 ( 6 avg)
% Number of connectives : 6362 (1903 ~;2808 |;1128 &)
% ( 117 <=>; 394 =>; 0 <=; 12 <~>)
% Maximal formula depth : 57 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 142 ( 141 usr; 126 prp; 0-2 aty)
% Number of functors : 65 ( 65 usr; 57 con; 0-2 aty)
% Number of variables : 1864 (1242 !; 622 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1256,plain,
$false,
inference(avatar_sat_refutation,[],[f503,f616,f637,f654,f655,f657,f668,f680,f684,f699,f703,f709,f720,f724,f730,f734,f737,f742,f748,f754,f768,f774,f786,f798,f803,f806,f812,f826,f827,f828,f833,f842,f843,f847,f866,f878,f883,f885,f886,f890,f898,f907,f915,f920,f933,f955,f956,f966,f971,f973,f984,f985,f987,f988,f990,f992,f998,f1000,f1004,f1020,f1032,f1042,f1055,f1063,f1067,f1070,f1077,f1079,f1080,f1084,f1088,f1096,f1098,f1103,f1104,f1105,f1106,f1108,f1110,f1125,f1129,f1133,f1138,f1144,f1149,f1155,f1164,f1171,f1176,f1178,f1180,f1182,f1184,f1186,f1188,f1205,f1212,f1215,f1218,f1221,f1223,f1225,f1231,f1236,f1240,f1248,f1250,f1255]) ).
fof(f1255,plain,
( ~ spl103_1
| ~ spl103_19 ),
inference(avatar_contradiction_clause,[],[f1254]) ).
fof(f1254,plain,
( $false
| ~ spl103_1
| ~ spl103_19 ),
inference(subsumption_resolution,[],[f1253,f454]) ).
fof(f454,plain,
( ! [X0] : ~ p1(X0)
| ~ spl103_19 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f453,plain,
( spl103_19
<=> ! [X0] : ~ p1(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_19])]) ).
fof(f1253,plain,
( p1(sK57)
| ~ spl103_1 ),
inference(resolution,[],[f384,f237]) ).
fof(f237,plain,
( ~ sP27
| p1(sK57) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
( ! [X2,X3] :
( p1(sK57)
& ( ~ p1(X3)
| r1(X2) )
& ~ r1(sK56) )
| ~ sP27 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK56,sK57])],[f94,f95]) ).
fof(f95,plain,
( ? [X0,X1] :
! [X2,X3] :
( p1(X1)
& ( ~ p1(X3)
| r1(X2) )
& ~ r1(X0) )
=> ! [X3,X2] :
( p1(sK57)
& ( ~ p1(X3)
| r1(X2) )
& ~ r1(sK56) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
( ? [X0,X1] :
! [X2,X3] :
( p1(X1)
& ( ~ p1(X3)
| r1(X2) )
& ~ r1(X0) )
| ~ sP27 ),
inference(rectify,[],[f93]) ).
fof(f93,plain,
( ? [X123,X124] :
! [X126,X125] :
( p1(X124)
& ( ~ p1(X125)
| r1(X126) )
& ~ r1(X123) )
| ~ sP27 ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,plain,
( ? [X123,X124] :
! [X126,X125] :
( p1(X124)
& ( ~ p1(X125)
| r1(X126) )
& ~ r1(X123) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f384,plain,
( sP27
| ~ spl103_1 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f382,plain,
( spl103_1
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_1])]) ).
fof(f1250,plain,
( spl103_54
| ~ spl103_19
| ~ spl103_57 ),
inference(avatar_split_clause,[],[f1249,f701,f453,f682]) ).
fof(f682,plain,
( spl103_54
<=> ! [X1] : r1(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_54])]) ).
fof(f701,plain,
( spl103_57
<=> ! [X1] :
( r1(X1)
| p1(f(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_57])]) ).
fof(f1249,plain,
( ! [X1] : r1(X1)
| ~ spl103_19
| ~ spl103_57 ),
inference(subsumption_resolution,[],[f702,f454]) ).
fof(f702,plain,
( ! [X1] :
( p1(f(X1))
| r1(X1) )
| ~ spl103_57 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f1248,plain,
( ~ spl103_19
| ~ spl103_24 ),
inference(avatar_contradiction_clause,[],[f1247]) ).
fof(f1247,plain,
( $false
| ~ spl103_19
| ~ spl103_24 ),
inference(subsumption_resolution,[],[f1246,f454]) ).
fof(f1246,plain,
( p1(sK91)
| ~ spl103_24 ),
inference(resolution,[],[f474,f339]) ).
fof(f339,plain,
( ~ sP3
| p1(sK91) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
( ( p1(sK91)
& ( ( a0
& ( ( b0
& ~ b0 )
| ( ~ q0
& q0 ) ) )
| ! [X1] : ~ p1(X1) ) )
| ~ sP3 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK91])],[f189,f190]) ).
fof(f190,plain,
( ? [X0] : p1(X0)
=> p1(sK91) ),
introduced(choice_axiom,[]) ).
fof(f189,plain,
( ( ? [X0] : p1(X0)
& ( ( a0
& ( ( b0
& ~ b0 )
| ( ~ q0
& q0 ) ) )
| ! [X1] : ~ p1(X1) ) )
| ~ sP3 ),
inference(rectify,[],[f188]) ).
fof(f188,plain,
( ( ? [X114] : p1(X114)
& ( ( a0
& ( ( b0
& ~ b0 )
| ( ~ q0
& q0 ) ) )
| ! [X115] : ~ p1(X115) ) )
| ~ sP3 ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
( ( ? [X114] : p1(X114)
& ( ( a0
& ( ( b0
& ~ b0 )
| ( ~ q0
& q0 ) ) )
| ! [X115] : ~ p1(X115) ) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f474,plain,
( sP3
| ~ spl103_24 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f472,plain,
( spl103_24
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_24])]) ).
fof(f1240,plain,
( ~ spl103_19
| ~ spl103_44 ),
inference(avatar_contradiction_clause,[],[f1239]) ).
fof(f1239,plain,
( $false
| ~ spl103_19
| ~ spl103_44 ),
inference(subsumption_resolution,[],[f1238,f454]) ).
fof(f1238,plain,
( p1(sK43)
| ~ spl103_44 ),
inference(resolution,[],[f628,f218]) ).
fof(f218,plain,
( ~ sP35
| p1(sK43) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
( ! [X0] :
( ~ p1(X0)
& p1(sK43) )
| ~ sP35 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK43])],[f62,f63]) ).
fof(f63,plain,
( ? [X1] : p1(X1)
=> p1(sK43) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
( ! [X0] :
( ~ p1(X0)
& ? [X1] : p1(X1) )
| ~ sP35 ),
inference(rectify,[],[f61]) ).
fof(f61,plain,
( ! [X33] :
( ~ p1(X33)
& ? [X34] : p1(X34) )
| ~ sP35 ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
( ! [X33] :
( ~ p1(X33)
& ? [X34] : p1(X34) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f628,plain,
( sP35
| ~ spl103_44 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f626,plain,
( spl103_44
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_44])]) ).
fof(f1236,plain,
( ~ spl103_19
| ~ spl103_45 ),
inference(avatar_contradiction_clause,[],[f1235]) ).
fof(f1235,plain,
( $false
| ~ spl103_19
| ~ spl103_45 ),
inference(subsumption_resolution,[],[f1234,f454]) ).
fof(f1234,plain,
( p1(sK51)
| ~ spl103_19
| ~ spl103_45 ),
inference(subsumption_resolution,[],[f1233,f454]) ).
fof(f1233,plain,
( p1(sK52)
| p1(sK51)
| ~ spl103_45 ),
inference(resolution,[],[f632,f228]) ).
fof(f228,plain,
( ~ sP30
| p1(sK52)
| p1(sK51) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( ( ( ! [X0] : ~ p1(X0)
| ! [X1] : ~ p1(X1) )
& ( p1(sK51)
| p1(sK52) ) )
| ~ sP30 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK51,sK52])],[f81,f83,f82]) ).
fof(f82,plain,
( ? [X2] : p1(X2)
=> p1(sK51) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
( ? [X3] : p1(X3)
=> p1(sK52) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
( ( ( ! [X0] : ~ p1(X0)
| ! [X1] : ~ p1(X1) )
& ( ? [X2] : p1(X2)
| ? [X3] : p1(X3) ) )
| ~ sP30 ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
( ( ( ! [X104] : ~ p1(X104)
| ! [X103] : ~ p1(X103) )
& ( ? [X104] : p1(X104)
| ? [X103] : p1(X103) ) )
| ~ sP30 ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
( ( ? [X103] : p1(X103)
<~> ? [X104] : p1(X104) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f632,plain,
( sP30
| ~ spl103_45 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f630,plain,
( spl103_45
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_45])]) ).
fof(f1231,plain,
( ~ spl103_17
| ~ spl103_50 ),
inference(avatar_contradiction_clause,[],[f1230]) ).
fof(f1230,plain,
( $false
| ~ spl103_17
| ~ spl103_50 ),
inference(subsumption_resolution,[],[f1228,f667]) ).
fof(f667,plain,
( ! [X0] : ~ q1(X0)
| ~ spl103_50 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f666,plain,
( spl103_50
<=> ! [X0] : ~ q1(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_50])]) ).
fof(f1228,plain,
( q1(f(sK71))
| ~ spl103_17 ),
inference(resolution,[],[f447,f284]) ).
fof(f284,plain,
( ~ sP13
| q1(f(sK71)) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
( ( ! [X2,X3] :
( ( p1(f(X3))
& ( ~ p1(X2)
| ( r1(X3)
& ( ~ r1(sK72)
| ~ r1(sK71) ) ) ) )
| ~ q1(X2) )
& q1(f(sK71)) )
| ~ sP13 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK71,sK72])],[f147,f148]) ).
fof(f148,plain,
( ? [X0,X1] :
( ! [X2,X3] :
( ( p1(f(X3))
& ( ~ p1(X2)
| ( r1(X3)
& ( ~ r1(X1)
| ~ r1(X0) ) ) ) )
| ~ q1(X2) )
& q1(f(X0)) )
=> ( ! [X3,X2] :
( ( p1(f(X3))
& ( ~ p1(X2)
| ( r1(X3)
& ( ~ r1(sK72)
| ~ r1(sK71) ) ) ) )
| ~ q1(X2) )
& q1(f(sK71)) ) ),
introduced(choice_axiom,[]) ).
fof(f147,plain,
( ? [X0,X1] :
( ! [X2,X3] :
( ( p1(f(X3))
& ( ~ p1(X2)
| ( r1(X3)
& ( ~ r1(X1)
| ~ r1(X0) ) ) ) )
| ~ q1(X2) )
& q1(f(X0)) )
| ~ sP13 ),
inference(rectify,[],[f146]) ).
fof(f146,plain,
( ? [X49,X48] :
( ! [X50,X51] :
( ( p1(f(X51))
& ( ~ p1(X50)
| ( r1(X51)
& ( ~ r1(X48)
| ~ r1(X49) ) ) ) )
| ~ q1(X50) )
& q1(f(X49)) )
| ~ sP13 ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
( ? [X49,X48] :
( ! [X50,X51] :
( ( p1(f(X51))
& ( ~ p1(X50)
| ( r1(X51)
& ( ~ r1(X48)
| ~ r1(X49) ) ) ) )
| ~ q1(X50) )
& q1(f(X49)) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f447,plain,
( sP13
| ~ spl103_17 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f445,plain,
( spl103_17
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_17])]) ).
fof(f1225,plain,
( ~ spl103_54
| spl103_68 ),
inference(avatar_contradiction_clause,[],[f1224]) ).
fof(f1224,plain,
( $false
| ~ spl103_54
| spl103_68 ),
inference(subsumption_resolution,[],[f837,f683]) ).
fof(f683,plain,
( ! [X1] : r1(X1)
| ~ spl103_54 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f837,plain,
( ~ r1(sK71)
| spl103_68 ),
inference(avatar_component_clause,[],[f835]) ).
fof(f835,plain,
( spl103_68
<=> r1(sK71) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_68])]) ).
fof(f1223,plain,
( ~ spl103_54
| spl103_69 ),
inference(avatar_contradiction_clause,[],[f1222]) ).
fof(f1222,plain,
( $false
| ~ spl103_54
| spl103_69 ),
inference(subsumption_resolution,[],[f841,f683]) ).
fof(f841,plain,
( ~ r1(sK72)
| spl103_69 ),
inference(avatar_component_clause,[],[f839]) ).
fof(f839,plain,
( spl103_69
<=> r1(sK72) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_69])]) ).
fof(f1221,plain,
( spl103_49
| spl103_50
| ~ spl103_6
| ~ spl103_54 ),
inference(avatar_split_clause,[],[f1220,f682,f401,f666,f663]) ).
fof(f663,plain,
( spl103_49
<=> ! [X1] : p1(f(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_49])]) ).
fof(f401,plain,
( spl103_6
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_6])]) ).
fof(f1220,plain,
( ! [X0,X1] :
( ~ q1(X0)
| p1(f(X1)) )
| ~ spl103_6
| ~ spl103_54 ),
inference(subsumption_resolution,[],[f1219,f683]) ).
fof(f1219,plain,
( ! [X0,X1] :
( p1(f(X1))
| ~ r1(sK81)
| ~ q1(X0) )
| ~ spl103_6
| ~ spl103_54 ),
inference(subsumption_resolution,[],[f1206,f683]) ).
fof(f1206,plain,
( ! [X0,X1] :
( ~ q1(X0)
| ~ r1(sK80)
| ~ r1(sK81)
| p1(f(X1)) )
| ~ spl103_6 ),
inference(resolution,[],[f403,f306]) ).
fof(f306,plain,
! [X3,X4] :
( ~ sP8
| ~ q1(X3)
| p1(f(X4))
| ~ r1(sK80)
| ~ r1(sK81) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
( ( ! [X2] : q1(f(X2))
& ! [X3,X4] :
( ( ~ p1(X3)
& p1(f(X4)) )
| ~ q1(X3)
| ( r1(X4)
& ( ~ r1(sK80)
| ~ r1(sK81) ) ) ) )
| ~ sP8 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK80,sK81])],[f168,f169]) ).
fof(f169,plain,
( ? [X0,X1] :
( ! [X2] : q1(f(X2))
& ! [X3,X4] :
( ( ~ p1(X3)
& p1(f(X4)) )
| ~ q1(X3)
| ( r1(X4)
& ( ~ r1(X0)
| ~ r1(X1) ) ) ) )
=> ( ! [X2] : q1(f(X2))
& ! [X4,X3] :
( ( ~ p1(X3)
& p1(f(X4)) )
| ~ q1(X3)
| ( r1(X4)
& ( ~ r1(sK80)
| ~ r1(sK81) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f168,plain,
( ? [X0,X1] :
( ! [X2] : q1(f(X2))
& ! [X3,X4] :
( ( ~ p1(X3)
& p1(f(X4)) )
| ~ q1(X3)
| ( r1(X4)
& ( ~ r1(X0)
| ~ r1(X1) ) ) ) )
| ~ sP8 ),
inference(rectify,[],[f167]) ).
fof(f167,plain,
( ? [X130,X129] :
( ! [X131] : q1(f(X131))
& ! [X132,X133] :
( ( ~ p1(X132)
& p1(f(X133)) )
| ~ q1(X132)
| ( r1(X133)
& ( ~ r1(X130)
| ~ r1(X129) ) ) ) )
| ~ sP8 ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
( ? [X130,X129] :
( ! [X131] : q1(f(X131))
& ! [X132,X133] :
( ( ~ p1(X132)
& p1(f(X133)) )
| ~ q1(X132)
| ( r1(X133)
& ( ~ r1(X130)
| ~ r1(X129) ) ) ) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f403,plain,
( sP8
| ~ spl103_6 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f1218,plain,
( ~ spl103_54
| spl103_55 ),
inference(avatar_contradiction_clause,[],[f1217]) ).
fof(f1217,plain,
( $false
| ~ spl103_54
| spl103_55 ),
inference(subsumption_resolution,[],[f693,f683]) ).
fof(f693,plain,
( ~ r1(sK81)
| spl103_55 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f691,plain,
( spl103_55
<=> r1(sK81) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_55])]) ).
fof(f1215,plain,
( ~ spl103_54
| spl103_56 ),
inference(avatar_contradiction_clause,[],[f1214]) ).
fof(f1214,plain,
( $false
| ~ spl103_54
| spl103_56 ),
inference(resolution,[],[f683,f697]) ).
fof(f697,plain,
( ~ r1(sK80)
| spl103_56 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f695,plain,
( spl103_56
<=> r1(sK80) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_56])]) ).
fof(f1212,plain,
( ~ spl103_6
| ~ spl103_49
| ~ spl103_52 ),
inference(avatar_contradiction_clause,[],[f1211]) ).
fof(f1211,plain,
( $false
| ~ spl103_6
| ~ spl103_49
| ~ spl103_52 ),
inference(subsumption_resolution,[],[f1207,f1193]) ).
fof(f1193,plain,
( ! [X0] : ~ q1(f(X0))
| ~ spl103_49
| ~ spl103_52 ),
inference(resolution,[],[f675,f664]) ).
fof(f664,plain,
( ! [X1] : p1(f(X1))
| ~ spl103_49 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f675,plain,
( ! [X0] :
( ~ p1(X0)
| ~ q1(X0) )
| ~ spl103_52 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f674,plain,
( spl103_52
<=> ! [X0] :
( ~ q1(X0)
| ~ p1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_52])]) ).
fof(f1207,plain,
( ! [X2] : q1(f(X2))
| ~ spl103_6 ),
inference(resolution,[],[f403,f310]) ).
fof(f310,plain,
! [X2] :
( ~ sP8
| q1(f(X2)) ),
inference(cnf_transformation,[],[f170]) ).
fof(f1205,plain,
( ~ spl103_13
| ~ spl103_49
| ~ spl103_52 ),
inference(avatar_contradiction_clause,[],[f1204]) ).
fof(f1204,plain,
( $false
| ~ spl103_13
| ~ spl103_49
| ~ spl103_52 ),
inference(subsumption_resolution,[],[f1193,f1192]) ).
fof(f1192,plain,
( ! [X2] : q1(f(X2))
| ~ spl103_13 ),
inference(resolution,[],[f431,f272]) ).
fof(f272,plain,
! [X4] :
( ~ sP16
| q1(f(X4)) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
( ( ! [X2,X3] :
( ( ( ~ p1(X3)
| ( r1(X2)
& ( ~ r1(sK68)
| ~ r1(sK67) ) ) )
& p1(f(X2)) )
| ~ q1(X3) )
& ! [X4] : q1(f(X4)) )
| ~ sP16 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK67,sK68])],[f135,f136]) ).
fof(f136,plain,
( ? [X0,X1] :
( ! [X2,X3] :
( ( ( ~ p1(X3)
| ( r1(X2)
& ( ~ r1(X1)
| ~ r1(X0) ) ) )
& p1(f(X2)) )
| ~ q1(X3) )
& ! [X4] : q1(f(X4)) )
=> ( ! [X3,X2] :
( ( ( ~ p1(X3)
| ( r1(X2)
& ( ~ r1(sK68)
| ~ r1(sK67) ) ) )
& p1(f(X2)) )
| ~ q1(X3) )
& ! [X4] : q1(f(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
( ? [X0,X1] :
( ! [X2,X3] :
( ( ( ~ p1(X3)
| ( r1(X2)
& ( ~ r1(X1)
| ~ r1(X0) ) ) )
& p1(f(X2)) )
| ~ q1(X3) )
& ! [X4] : q1(f(X4)) )
| ~ sP16 ),
inference(rectify,[],[f134]) ).
fof(f134,plain,
( ? [X89,X90] :
( ! [X93,X92] :
( ( ( ~ p1(X92)
| ( r1(X93)
& ( ~ r1(X90)
| ~ r1(X89) ) ) )
& p1(f(X93)) )
| ~ q1(X92) )
& ! [X91] : q1(f(X91)) )
| ~ sP16 ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
( ? [X89,X90] :
( ! [X93,X92] :
( ( ( ~ p1(X92)
| ( r1(X93)
& ( ~ r1(X90)
| ~ r1(X89) ) ) )
& p1(f(X93)) )
| ~ q1(X92) )
& ! [X91] : q1(f(X91)) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f431,plain,
( sP16
| ~ spl103_13 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f429,plain,
( spl103_13
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_13])]) ).
fof(f1188,plain,
( spl103_19
| ~ spl103_52
| ~ spl103_63 ),
inference(avatar_split_clause,[],[f1187,f770,f674,f453]) ).
fof(f770,plain,
( spl103_63
<=> ! [X1] : q1(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_63])]) ).
fof(f1187,plain,
( ! [X0] : ~ p1(X0)
| ~ spl103_52
| ~ spl103_63 ),
inference(subsumption_resolution,[],[f675,f771]) ).
fof(f771,plain,
( ! [X1] : q1(X1)
| ~ spl103_63 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f1186,plain,
( ~ spl103_3
| spl103_64 ),
inference(avatar_contradiction_clause,[],[f1185]) ).
fof(f1185,plain,
( $false
| ~ spl103_3
| spl103_64 ),
inference(subsumption_resolution,[],[f795,f391]) ).
fof(f391,plain,
( ! [X7] : p1(X7)
| ~ spl103_3 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f390,plain,
( spl103_3
<=> ! [X7] : p1(X7) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_3])]) ).
fof(f795,plain,
( ~ p1(sK76)
| spl103_64 ),
inference(avatar_component_clause,[],[f793]) ).
fof(f793,plain,
( spl103_64
<=> p1(sK76) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_64])]) ).
fof(f1184,plain,
( ~ spl103_3
| spl103_61 ),
inference(avatar_contradiction_clause,[],[f1183]) ).
fof(f1183,plain,
( $false
| ~ spl103_3
| spl103_61 ),
inference(subsumption_resolution,[],[f763,f391]) ).
fof(f763,plain,
( ~ p1(sK79)
| spl103_61 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f761,plain,
( spl103_61
<=> p1(sK79) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_61])]) ).
fof(f1182,plain,
( ~ spl103_3
| spl103_62 ),
inference(avatar_contradiction_clause,[],[f1181]) ).
fof(f1181,plain,
( $false
| ~ spl103_3
| spl103_62 ),
inference(subsumption_resolution,[],[f767,f391]) ).
fof(f767,plain,
( ~ p1(sK78)
| spl103_62 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f765,plain,
( spl103_62
<=> p1(sK78) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_62])]) ).
fof(f1180,plain,
( ~ spl103_3
| spl103_74 ),
inference(avatar_contradiction_clause,[],[f1179]) ).
fof(f1179,plain,
( $false
| ~ spl103_3
| spl103_74 ),
inference(subsumption_resolution,[],[f947,f391]) ).
fof(f947,plain,
( ~ p1(sK83)
| spl103_74 ),
inference(avatar_component_clause,[],[f945]) ).
fof(f945,plain,
( spl103_74
<=> p1(sK83) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_74])]) ).
fof(f1178,plain,
( ~ spl103_3
| spl103_75 ),
inference(avatar_contradiction_clause,[],[f1177]) ).
fof(f1177,plain,
( $false
| ~ spl103_3
| spl103_75 ),
inference(subsumption_resolution,[],[f952,f391]) ).
fof(f952,plain,
( ~ p1(sK82)
| spl103_75 ),
inference(avatar_component_clause,[],[f950]) ).
fof(f950,plain,
( spl103_75
<=> p1(sK82) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_75])]) ).
fof(f1176,plain,
( ~ spl103_42
| ~ spl103_63 ),
inference(avatar_contradiction_clause,[],[f1175]) ).
fof(f1175,plain,
( $false
| ~ spl103_42
| ~ spl103_63 ),
inference(subsumption_resolution,[],[f1174,f771]) ).
fof(f1174,plain,
( ~ q1(sK55)
| ~ spl103_42 ),
inference(resolution,[],[f611,f232]) ).
fof(f232,plain,
( ~ sP28
| ~ q1(sK55) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
( ( ! [X0] : p1(X0)
& ! [X1] :
( ~ p1(X1)
| q1(X1) )
& ~ q1(sK55) )
| ~ sP28 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK55])],[f90,f91]) ).
fof(f91,plain,
( ? [X2] : ~ q1(X2)
=> ~ q1(sK55) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
( ( ! [X0] : p1(X0)
& ! [X1] :
( ~ p1(X1)
| q1(X1) )
& ? [X2] : ~ q1(X2) )
| ~ sP28 ),
inference(rectify,[],[f89]) ).
fof(f89,plain,
( ( ! [X31] : p1(X31)
& ! [X30] :
( ~ p1(X30)
| q1(X30) )
& ? [X32] : ~ q1(X32) )
| ~ sP28 ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
( ( ! [X31] : p1(X31)
& ! [X30] :
( ~ p1(X30)
| q1(X30) )
& ? [X32] : ~ q1(X32) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f611,plain,
( sP28
| ~ spl103_42 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f609,plain,
( spl103_42
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_42])]) ).
fof(f1171,plain,
( ~ spl103_39
| ~ spl103_63 ),
inference(avatar_contradiction_clause,[],[f1170]) ).
fof(f1170,plain,
( $false
| ~ spl103_39
| ~ spl103_63 ),
inference(subsumption_resolution,[],[f1167,f771]) ).
fof(f1167,plain,
( ~ q1(sK58)
| ~ spl103_39 ),
inference(resolution,[],[f599,f240]) ).
fof(f240,plain,
( ~ sP26
| ~ q1(sK58) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( ( ~ q1(sK58)
& ! [X1] :
( q1(X1)
& p1(X1) ) )
| ~ sP26 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK58])],[f98,f99]) ).
fof(f99,plain,
( ? [X0] :
( ~ q1(X0)
& ! [X1] :
( q1(X1)
& p1(X1) ) )
=> ( ~ q1(sK58)
& ! [X1] :
( q1(X1)
& p1(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
( ? [X0] :
( ~ q1(X0)
& ! [X1] :
( q1(X1)
& p1(X1) ) )
| ~ sP26 ),
inference(rectify,[],[f97]) ).
fof(f97,plain,
( ? [X105] :
( ~ q1(X105)
& ! [X106] :
( q1(X106)
& p1(X106) ) )
| ~ sP26 ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
( ? [X105] :
( ~ q1(X105)
& ! [X106] :
( q1(X106)
& p1(X106) ) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f599,plain,
( sP26
| ~ spl103_39 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f597,plain,
( spl103_39
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_39])]) ).
fof(f1164,plain,
( ~ spl103_41
| ~ spl103_63 ),
inference(avatar_contradiction_clause,[],[f1163]) ).
fof(f1163,plain,
( $false
| ~ spl103_41
| ~ spl103_63 ),
inference(subsumption_resolution,[],[f1162,f1157]) ).
fof(f1157,plain,
( ! [X1] : ~ r1(X1)
| ~ spl103_41 ),
inference(resolution,[],[f607,f281]) ).
fof(f281,plain,
! [X2] :
( ~ sP14
| ~ r1(X2) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
( ( ! [X0] :
( q1(X0)
| ~ p1(X0) )
& ( ~ q1(sK70)
| r1(sK70) )
& ! [X2] :
( ~ r1(X2)
& p1(X2) ) )
| ~ sP14 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK70])],[f143,f144]) ).
fof(f144,plain,
( ? [X1] :
( ~ q1(X1)
| r1(X1) )
=> ( ~ q1(sK70)
| r1(sK70) ) ),
introduced(choice_axiom,[]) ).
fof(f143,plain,
( ( ! [X0] :
( q1(X0)
| ~ p1(X0) )
& ? [X1] :
( ~ q1(X1)
| r1(X1) )
& ! [X2] :
( ~ r1(X2)
& p1(X2) ) )
| ~ sP14 ),
inference(rectify,[],[f142]) ).
fof(f142,plain,
( ( ! [X27] :
( q1(X27)
| ~ p1(X27) )
& ? [X28] :
( ~ q1(X28)
| r1(X28) )
& ! [X29] :
( ~ r1(X29)
& p1(X29) ) )
| ~ sP14 ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
( ( ! [X27] :
( q1(X27)
| ~ p1(X27) )
& ? [X28] :
( ~ q1(X28)
| r1(X28) )
& ! [X29] :
( ~ r1(X29)
& p1(X29) ) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f607,plain,
( sP14
| ~ spl103_41 ),
inference(avatar_component_clause,[],[f605]) ).
fof(f605,plain,
( spl103_41
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_41])]) ).
fof(f1162,plain,
( r1(sK70)
| ~ spl103_41
| ~ spl103_63 ),
inference(subsumption_resolution,[],[f1159,f771]) ).
fof(f1159,plain,
( ~ q1(sK70)
| r1(sK70)
| ~ spl103_41 ),
inference(resolution,[],[f607,f282]) ).
fof(f282,plain,
( ~ sP14
| ~ q1(sK70)
| r1(sK70) ),
inference(cnf_transformation,[],[f145]) ).
fof(f1155,plain,
( ~ spl103_3
| ~ spl103_40 ),
inference(avatar_contradiction_clause,[],[f1154]) ).
fof(f1154,plain,
( $false
| ~ spl103_3
| ~ spl103_40 ),
inference(subsumption_resolution,[],[f1153,f391]) ).
fof(f1153,plain,
( ! [X0] : ~ p1(sK66(X0))
| ~ spl103_40 ),
inference(resolution,[],[f603,f269]) ).
fof(f269,plain,
! [X2] :
( ~ sP17
| ~ p1(sK66(X2)) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
( ( ! [X0] : p1(X0)
& q1(sK65)
& ! [X2] :
( ~ p1(sK66(X2))
& ~ r1(X2) ) )
| ~ sP17 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK65,sK66])],[f130,f132,f131]) ).
fof(f131,plain,
( ? [X1] : q1(X1)
=> q1(sK65) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
! [X2] :
( ? [X3] :
( ~ p1(X3)
& ~ r1(X2) )
=> ( ~ p1(sK66(X2))
& ~ r1(X2) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
( ( ! [X0] : p1(X0)
& ? [X1] : q1(X1)
& ! [X2] :
? [X3] :
( ~ p1(X3)
& ~ r1(X2) ) )
| ~ sP17 ),
inference(rectify,[],[f129]) ).
fof(f129,plain,
( ( ! [X110] : p1(X110)
& ? [X111] : q1(X111)
& ! [X112] :
? [X113] :
( ~ p1(X113)
& ~ r1(X112) ) )
| ~ sP17 ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
( ( ! [X110] : p1(X110)
& ? [X111] : q1(X111)
& ! [X112] :
? [X113] :
( ~ p1(X113)
& ~ r1(X112) ) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f603,plain,
( sP17
| ~ spl103_40 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f601,plain,
( spl103_40
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_40])]) ).
fof(f1149,plain,
( ~ spl103_3
| ~ spl103_43 ),
inference(avatar_contradiction_clause,[],[f1148]) ).
fof(f1148,plain,
( $false
| ~ spl103_3
| ~ spl103_43 ),
inference(subsumption_resolution,[],[f1147,f391]) ).
fof(f1147,plain,
( ~ p1(sK54)
| ~ spl103_3
| ~ spl103_43 ),
inference(subsumption_resolution,[],[f1146,f391]) ).
fof(f1146,plain,
( ~ p1(sK53)
| ~ p1(sK54)
| ~ spl103_43 ),
inference(resolution,[],[f615,f230]) ).
fof(f230,plain,
( ~ sP29
| ~ p1(sK53)
| ~ p1(sK54) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
( ( ! [X2] : p1(X2)
& ( ~ p1(sK53)
| ~ p1(sK54) ) )
| ~ sP29 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK53,sK54])],[f86,f87]) ).
fof(f87,plain,
( ? [X0,X1] :
( ! [X2] : p1(X2)
& ( ~ p1(X0)
| ~ p1(X1) ) )
=> ( ! [X2] : p1(X2)
& ( ~ p1(sK53)
| ~ p1(sK54) ) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
( ? [X0,X1] :
( ! [X2] : p1(X2)
& ( ~ p1(X0)
| ~ p1(X1) ) )
| ~ sP29 ),
inference(rectify,[],[f85]) ).
fof(f85,plain,
( ? [X117,X116] :
( ! [X118] : p1(X118)
& ( ~ p1(X117)
| ~ p1(X116) ) )
| ~ sP29 ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
( ? [X117,X116] :
( ! [X118] : p1(X118)
& ( ~ p1(X117)
| ~ p1(X116) ) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f615,plain,
( sP29
| ~ spl103_43 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f613,plain,
( spl103_43
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_43])]) ).
fof(f1144,plain,
( ~ spl103_3
| ~ spl103_37 ),
inference(avatar_contradiction_clause,[],[f1143]) ).
fof(f1143,plain,
( $false
| ~ spl103_3
| ~ spl103_37 ),
inference(subsumption_resolution,[],[f1141,f391]) ).
fof(f1141,plain,
( ! [X1] : ~ p1(sK74(X1))
| ~ spl103_37 ),
inference(resolution,[],[f591,f289]) ).
fof(f289,plain,
! [X2] :
( ~ sP12
| ~ p1(sK74(X2)) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
( ( ! [X0] :
( p1(X0)
& q1(sK73(X0)) )
& ! [X2] :
( ~ p1(sK74(X2))
& ~ r1(X2) ) )
| ~ sP12 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK73,sK74])],[f151,f153,f152]) ).
fof(f152,plain,
! [X0] :
( ? [X1] :
( p1(X0)
& q1(X1) )
=> ( p1(X0)
& q1(sK73(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f153,plain,
! [X2] :
( ? [X3] :
( ~ p1(X3)
& ~ r1(X2) )
=> ( ~ p1(sK74(X2))
& ~ r1(X2) ) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
( ( ! [X0] :
? [X1] :
( p1(X0)
& q1(X1) )
& ! [X2] :
? [X3] :
( ~ p1(X3)
& ~ r1(X2) ) )
| ~ sP12 ),
inference(rectify,[],[f150]) ).
fof(f150,plain,
( ( ! [X119] :
? [X120] :
( p1(X119)
& q1(X120) )
& ! [X121] :
? [X122] :
( ~ p1(X122)
& ~ r1(X121) ) )
| ~ sP12 ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
( ( ! [X119] :
? [X120] :
( p1(X119)
& q1(X120) )
& ! [X121] :
? [X122] :
( ~ p1(X122)
& ~ r1(X121) ) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f591,plain,
( sP12
| ~ spl103_37 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f589,plain,
( spl103_37
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_37])]) ).
fof(f1138,plain,
( spl103_63
| ~ spl103_3
| ~ spl103_42 ),
inference(avatar_split_clause,[],[f1137,f609,f390,f770]) ).
fof(f1137,plain,
( ! [X0] : q1(X0)
| ~ spl103_3
| ~ spl103_42 ),
inference(subsumption_resolution,[],[f1134,f391]) ).
fof(f1134,plain,
( ! [X0] :
( q1(X0)
| ~ p1(X0) )
| ~ spl103_42 ),
inference(resolution,[],[f611,f233]) ).
fof(f233,plain,
! [X1] :
( ~ sP28
| q1(X1)
| ~ p1(X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f1133,plain,
( spl103_63
| ~ spl103_39 ),
inference(avatar_split_clause,[],[f1132,f597,f770]) ).
fof(f1132,plain,
( ! [X0] : q1(X0)
| ~ spl103_39 ),
inference(resolution,[],[f599,f239]) ).
fof(f239,plain,
! [X1] :
( ~ sP26
| q1(X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f1129,plain,
( ~ spl103_3
| ~ spl103_38 ),
inference(avatar_contradiction_clause,[],[f1128]) ).
fof(f1128,plain,
( $false
| ~ spl103_3
| ~ spl103_38 ),
inference(subsumption_resolution,[],[f1127,f391]) ).
fof(f1127,plain,
( ! [X0] : ~ p1(sK40(X0))
| ~ spl103_38 ),
inference(resolution,[],[f595,f211]) ).
fof(f211,plain,
! [X0] :
( ~ sP39
| ~ p1(sK40(X0)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( ! [X0] :
( ~ p1(sK40(X0))
& p1(X0) )
| ~ sP39 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK40])],[f49,f50]) ).
fof(f50,plain,
! [X0] :
( ? [X1] :
( ~ p1(X1)
& p1(X0) )
=> ( ~ p1(sK40(X0))
& p1(X0) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
( ! [X0] :
? [X1] :
( ~ p1(X1)
& p1(X0) )
| ~ sP39 ),
inference(rectify,[],[f48]) ).
fof(f48,plain,
( ! [X127] :
? [X128] :
( ~ p1(X128)
& p1(X127) )
| ~ sP39 ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
( ! [X127] :
? [X128] :
( ~ p1(X128)
& p1(X127) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f595,plain,
( sP39
| ~ spl103_38 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f593,plain,
( spl103_38
<=> sP39 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_38])]) ).
fof(f1125,plain,
( spl103_63
| ~ spl103_3
| ~ spl103_41 ),
inference(avatar_split_clause,[],[f1124,f605,f390,f770]) ).
fof(f1124,plain,
( ! [X0] : q1(X0)
| ~ spl103_3
| ~ spl103_41 ),
inference(subsumption_resolution,[],[f1111,f391]) ).
fof(f1111,plain,
( ! [X0] :
( ~ p1(X0)
| q1(X0) )
| ~ spl103_41 ),
inference(resolution,[],[f607,f283]) ).
fof(f283,plain,
! [X0] :
( ~ sP14
| ~ p1(X0)
| q1(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f1110,plain,
( ~ spl103_3
| spl103_35 ),
inference(avatar_contradiction_clause,[],[f1109]) ).
fof(f1109,plain,
( $false
| ~ spl103_3
| spl103_35 ),
inference(subsumption_resolution,[],[f554,f391]) ).
fof(f554,plain,
( ~ p1(sK99)
| spl103_35 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f552,plain,
( spl103_35
<=> p1(sK99) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_35])]) ).
fof(f1108,plain,
( ~ spl103_3
| spl103_33 ),
inference(avatar_contradiction_clause,[],[f1107]) ).
fof(f1107,plain,
( $false
| ~ spl103_3
| spl103_33 ),
inference(subsumption_resolution,[],[f522,f391]) ).
fof(f522,plain,
( ~ p1(sK101)
| spl103_33 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f520,plain,
( spl103_33
<=> p1(sK101) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_33])]) ).
fof(f1106,plain,
( spl103_50
| ~ spl103_3
| ~ spl103_52 ),
inference(avatar_split_clause,[],[f1099,f674,f390,f666]) ).
fof(f1099,plain,
( ! [X0] : ~ q1(X0)
| ~ spl103_3
| ~ spl103_52 ),
inference(resolution,[],[f391,f675]) ).
fof(f1105,plain,
( ~ spl103_3
| spl103_34 ),
inference(avatar_contradiction_clause,[],[f1100]) ).
fof(f1100,plain,
( $false
| ~ spl103_3
| spl103_34 ),
inference(resolution,[],[f391,f537]) ).
fof(f537,plain,
( ~ p1(sK98)
| spl103_34 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f536,plain,
( spl103_34
<=> p1(sK98) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_34])]) ).
fof(f1104,plain,
( ~ spl103_3
| spl103_36 ),
inference(avatar_contradiction_clause,[],[f1101]) ).
fof(f1101,plain,
( $false
| ~ spl103_3
| spl103_36 ),
inference(resolution,[],[f391,f558]) ).
fof(f558,plain,
( ~ p1(sK100)
| spl103_36 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f556,plain,
( spl103_36
<=> p1(sK100) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_36])]) ).
fof(f1103,plain,
( ~ spl103_3
| spl103_32 ),
inference(avatar_contradiction_clause,[],[f1102]) ).
fof(f1102,plain,
( $false
| ~ spl103_3
| spl103_32 ),
inference(resolution,[],[f391,f518]) ).
fof(f518,plain,
( ~ p1(sK102)
| spl103_32 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f516,plain,
( spl103_32
<=> p1(sK102) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_32])]) ).
fof(f1098,plain,
( ~ spl103_59
| ~ spl103_60 ),
inference(avatar_contradiction_clause,[],[f1097]) ).
fof(f1097,plain,
( $false
| ~ spl103_59
| ~ spl103_60 ),
inference(subsumption_resolution,[],[f719,f723]) ).
fof(f723,plain,
( ! [X2,X3] : ~ a(X2,X3)
| ~ spl103_60 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f722,plain,
( spl103_60
<=> ! [X2,X3] : ~ a(X2,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_60])]) ).
fof(f719,plain,
( a(sK46,sK45)
| ~ spl103_59 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f717,plain,
( spl103_59
<=> a(sK46,sK45) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_59])]) ).
fof(f1096,plain,
( ~ spl103_17
| ~ spl103_49
| ~ spl103_52 ),
inference(avatar_contradiction_clause,[],[f1095]) ).
fof(f1095,plain,
( $false
| ~ spl103_17
| ~ spl103_49
| ~ spl103_52 ),
inference(resolution,[],[f1094,f1092]) ).
fof(f1092,plain,
( q1(f(sK71))
| ~ spl103_17 ),
inference(resolution,[],[f447,f284]) ).
fof(f1094,plain,
( ! [X0] : ~ q1(f(X0))
| ~ spl103_49
| ~ spl103_52 ),
inference(resolution,[],[f664,f675]) ).
fof(f1088,plain,
( ~ spl103_19
| ~ spl103_46 ),
inference(avatar_contradiction_clause,[],[f1087]) ).
fof(f1087,plain,
( $false
| ~ spl103_19
| ~ spl103_46 ),
inference(subsumption_resolution,[],[f1086,f454]) ).
fof(f1086,plain,
( p1(sK41)
| ~ spl103_46 ),
inference(resolution,[],[f636,f214]) ).
fof(f214,plain,
( ~ sP37
| p1(sK41) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( ! [X0] : ~ p1(X0)
& p1(sK41) )
| ~ sP37 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK41])],[f54,f55]) ).
fof(f55,plain,
( ? [X1] : p1(X1)
=> p1(sK41) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
( ( ! [X0] : ~ p1(X0)
& ? [X1] : p1(X1) )
| ~ sP37 ),
inference(rectify,[],[f53]) ).
fof(f53,plain,
( ( ! [X69] : ~ p1(X69)
& ? [X68] : p1(X68) )
| ~ sP37 ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( ! [X69] : ~ p1(X69)
& ? [X68] : p1(X68) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f636,plain,
( sP37
| ~ spl103_46 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f634,plain,
( spl103_46
<=> sP37 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_46])]) ).
fof(f1084,plain,
( spl103_54
| ~ spl103_6
| ~ spl103_52
| ~ spl103_57 ),
inference(avatar_split_clause,[],[f1083,f701,f674,f401,f682]) ).
fof(f1083,plain,
( ! [X0] : r1(X0)
| ~ spl103_6
| ~ spl103_52
| ~ spl103_57 ),
inference(subsumption_resolution,[],[f1082,f1072]) ).
fof(f1072,plain,
( ! [X2] : q1(f(X2))
| ~ spl103_6 ),
inference(resolution,[],[f403,f310]) ).
fof(f1082,plain,
( ! [X0] :
( ~ q1(f(X0))
| r1(X0) )
| ~ spl103_52
| ~ spl103_57 ),
inference(resolution,[],[f702,f675]) ).
fof(f1080,plain,
( ~ spl103_56
| ~ spl103_55
| spl103_52
| ~ spl103_6 ),
inference(avatar_split_clause,[],[f1074,f401,f674,f691,f695]) ).
fof(f1074,plain,
( ! [X0] :
( ~ p1(X0)
| ~ r1(sK81)
| ~ q1(X0)
| ~ r1(sK80) )
| ~ spl103_6 ),
inference(resolution,[],[f403,f308]) ).
fof(f308,plain,
! [X3] :
( ~ sP8
| ~ p1(X3)
| ~ q1(X3)
| ~ r1(sK81)
| ~ r1(sK80) ),
inference(cnf_transformation,[],[f170]) ).
fof(f1079,plain,
( spl103_52
| spl103_54
| ~ spl103_6 ),
inference(avatar_split_clause,[],[f1075,f401,f682,f674]) ).
fof(f1075,plain,
( ! [X0,X1] :
( r1(X1)
| ~ p1(X0)
| ~ q1(X0) )
| ~ spl103_6 ),
inference(resolution,[],[f403,f309]) ).
fof(f309,plain,
! [X3,X4] :
( ~ sP8
| ~ q1(X3)
| ~ p1(X3)
| r1(X4) ),
inference(cnf_transformation,[],[f170]) ).
fof(f1077,plain,
( ~ spl103_6
| ~ spl103_50 ),
inference(avatar_contradiction_clause,[],[f1076]) ).
fof(f1076,plain,
( $false
| ~ spl103_6
| ~ spl103_50 ),
inference(subsumption_resolution,[],[f1072,f667]) ).
fof(f1070,plain,
( ~ spl103_30
| ~ spl103_72
| ~ spl103_79 ),
inference(avatar_contradiction_clause,[],[f1069]) ).
fof(f1069,plain,
( $false
| ~ spl103_30
| ~ spl103_72
| ~ spl103_79 ),
inference(resolution,[],[f1068,f929]) ).
fof(f929,plain,
( q(f(sK75),sK75)
| ~ spl103_72 ),
inference(avatar_component_clause,[],[f927]) ).
fof(f927,plain,
( spl103_72
<=> q(f(sK75),sK75) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_72])]) ).
fof(f1068,plain,
( ! [X0] : ~ q(f(X0),X0)
| ~ spl103_30
| ~ spl103_79 ),
inference(resolution,[],[f1058,f1045]) ).
fof(f1045,plain,
( ! [X0,X1] :
( ~ p(X0,X1)
| ~ q(X0,X1) )
| ~ spl103_30 ),
inference(resolution,[],[f498,f292]) ).
fof(f292,plain,
! [X2,X3] :
( ~ sP11
| ~ q(X3,X2)
| ~ p(X3,X2) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
( ( ! [X1] :
( ( r1(sK75)
& ~ r1(X1) )
| p(f(X1),X1) )
& ! [X2,X3] :
( ( q(f(sK75),sK75)
& ~ q(X3,X2) )
| ~ p(X3,X2) ) )
| ~ sP11 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK75])],[f156,f157]) ).
fof(f157,plain,
( ? [X0] :
( ! [X1] :
( ( r1(X0)
& ~ r1(X1) )
| p(f(X1),X1) )
& ! [X2,X3] :
( ( q(f(X0),X0)
& ~ q(X3,X2) )
| ~ p(X3,X2) ) )
=> ( ! [X1] :
( ( r1(sK75)
& ~ r1(X1) )
| p(f(X1),X1) )
& ! [X3,X2] :
( ( q(f(sK75),sK75)
& ~ q(X3,X2) )
| ~ p(X3,X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f156,plain,
( ? [X0] :
( ! [X1] :
( ( r1(X0)
& ~ r1(X1) )
| p(f(X1),X1) )
& ! [X2,X3] :
( ( q(f(X0),X0)
& ~ q(X3,X2) )
| ~ p(X3,X2) ) )
| ~ sP11 ),
inference(rectify,[],[f155]) ).
fof(f155,plain,
( ? [X77] :
( ! [X78] :
( ( r1(X77)
& ~ r1(X78) )
| p(f(X78),X78) )
& ! [X80,X79] :
( ( q(f(X77),X77)
& ~ q(X79,X80) )
| ~ p(X79,X80) ) )
| ~ sP11 ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
( ? [X77] :
( ! [X78] :
( ( r1(X77)
& ~ r1(X78) )
| p(f(X78),X78) )
& ! [X80,X79] :
( ( q(f(X77),X77)
& ~ q(X79,X80) )
| ~ p(X79,X80) ) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f498,plain,
( sP11
| ~ spl103_30 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f496,plain,
( spl103_30
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_30])]) ).
fof(f1058,plain,
( ! [X2] : p(f(X2),X2)
| ~ spl103_79 ),
inference(avatar_component_clause,[],[f1057]) ).
fof(f1057,plain,
( spl103_79
<=> ! [X2] : p(f(X2),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_79])]) ).
fof(f1067,plain,
( ~ spl103_30
| ~ spl103_72
| ~ spl103_80 ),
inference(avatar_contradiction_clause,[],[f1066]) ).
fof(f1066,plain,
( $false
| ~ spl103_30
| ~ spl103_72
| ~ spl103_80 ),
inference(subsumption_resolution,[],[f1065,f1062]) ).
fof(f1062,plain,
( r1(sK75)
| ~ spl103_80 ),
inference(avatar_component_clause,[],[f1060]) ).
fof(f1060,plain,
( spl103_80
<=> r1(sK75) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_80])]) ).
fof(f1065,plain,
( ~ r1(sK75)
| ~ spl103_30
| ~ spl103_72 ),
inference(resolution,[],[f1064,f929]) ).
fof(f1064,plain,
( ! [X0] :
( ~ q(f(X0),X0)
| ~ r1(X0) )
| ~ spl103_30 ),
inference(resolution,[],[f1048,f1045]) ).
fof(f1048,plain,
( ! [X2] :
( p(f(X2),X2)
| ~ r1(X2) )
| ~ spl103_30 ),
inference(resolution,[],[f498,f294]) ).
fof(f294,plain,
! [X1] :
( ~ sP11
| p(f(X1),X1)
| ~ r1(X1) ),
inference(cnf_transformation,[],[f158]) ).
fof(f1063,plain,
( spl103_79
| spl103_80
| ~ spl103_30 ),
inference(avatar_split_clause,[],[f1046,f496,f1060,f1057]) ).
fof(f1046,plain,
( ! [X2] :
( r1(sK75)
| p(f(X2),X2) )
| ~ spl103_30 ),
inference(resolution,[],[f498,f295]) ).
fof(f295,plain,
! [X1] :
( ~ sP11
| p(f(X1),X1)
| r1(sK75) ),
inference(cnf_transformation,[],[f158]) ).
fof(f1055,plain,
( ~ spl103_30
| ~ spl103_73 ),
inference(avatar_contradiction_clause,[],[f1054]) ).
fof(f1054,plain,
( $false
| ~ spl103_30
| ~ spl103_73 ),
inference(subsumption_resolution,[],[f1053,f932]) ).
fof(f932,plain,
( ! [X0,X1] : ~ p(X0,X1)
| ~ spl103_73 ),
inference(avatar_component_clause,[],[f931]) ).
fof(f931,plain,
( spl103_73
<=> ! [X0,X1] : ~ p(X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_73])]) ).
fof(f1053,plain,
( ! [X2] : p(f(X2),X2)
| ~ spl103_30
| ~ spl103_73 ),
inference(subsumption_resolution,[],[f1046,f1052]) ).
fof(f1052,plain,
( ! [X2] : ~ r1(X2)
| ~ spl103_30
| ~ spl103_73 ),
inference(subsumption_resolution,[],[f1048,f932]) ).
fof(f1042,plain,
( ~ spl103_31
| ~ spl103_77
| spl103_78 ),
inference(avatar_contradiction_clause,[],[f1041]) ).
fof(f1041,plain,
( $false
| ~ spl103_31
| ~ spl103_77
| spl103_78 ),
inference(subsumption_resolution,[],[f1038,f1014]) ).
fof(f1014,plain,
( a_member_of(sK90(sK88,sK89),sK88)
| ~ spl103_77 ),
inference(avatar_component_clause,[],[f1013]) ).
fof(f1013,plain,
( spl103_77
<=> a_member_of(sK90(sK88,sK89),sK88) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_77])]) ).
fof(f1038,plain,
( ~ a_member_of(sK90(sK88,sK89),sK88)
| ~ spl103_31
| spl103_78 ),
inference(resolution,[],[f1035,f1008]) ).
fof(f1008,plain,
( eq(sK88,sK89)
| ~ spl103_31 ),
inference(resolution,[],[f502,f333]) ).
fof(f333,plain,
( ~ sP4
| eq(sK88,sK89) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
( ( eq(sK88,sK89)
& ~ eq(sK89,sK88)
& ! [X2,X3] :
( ( eq(X3,X2)
| ( ( ~ a_member_of(sK90(X2,X3),X3)
| ~ a_member_of(sK90(X2,X3),X2) )
& ( a_member_of(sK90(X2,X3),X3)
| a_member_of(sK90(X2,X3),X2) ) ) )
& ( ! [X5] :
( ( a_member_of(X5,X2)
| ~ a_member_of(X5,X3) )
& ( a_member_of(X5,X3)
| ~ a_member_of(X5,X2) ) )
| ~ eq(X3,X2) ) ) )
| ~ sP4 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK88,sK89,sK90])],[f184,f186,f185]) ).
fof(f185,plain,
( ? [X0,X1] :
( eq(X0,X1)
& ~ eq(X1,X0) )
=> ( eq(sK88,sK89)
& ~ eq(sK89,sK88) ) ),
introduced(choice_axiom,[]) ).
fof(f186,plain,
! [X2,X3] :
( ? [X4] :
( ( ~ a_member_of(X4,X3)
| ~ a_member_of(X4,X2) )
& ( a_member_of(X4,X3)
| a_member_of(X4,X2) ) )
=> ( ( ~ a_member_of(sK90(X2,X3),X3)
| ~ a_member_of(sK90(X2,X3),X2) )
& ( a_member_of(sK90(X2,X3),X3)
| a_member_of(sK90(X2,X3),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f184,plain,
( ( ? [X0,X1] :
( eq(X0,X1)
& ~ eq(X1,X0) )
& ! [X2,X3] :
( ( eq(X3,X2)
| ? [X4] :
( ( ~ a_member_of(X4,X3)
| ~ a_member_of(X4,X2) )
& ( a_member_of(X4,X3)
| a_member_of(X4,X2) ) ) )
& ( ! [X5] :
( ( a_member_of(X5,X2)
| ~ a_member_of(X5,X3) )
& ( a_member_of(X5,X3)
| ~ a_member_of(X5,X2) ) )
| ~ eq(X3,X2) ) ) )
| ~ sP4 ),
inference(rectify,[],[f183]) ).
fof(f183,plain,
( ( ? [X9,X8] :
( eq(X9,X8)
& ~ eq(X8,X9) )
& ! [X6,X5] :
( ( eq(X5,X6)
| ? [X7] :
( ( ~ a_member_of(X7,X5)
| ~ a_member_of(X7,X6) )
& ( a_member_of(X7,X5)
| a_member_of(X7,X6) ) ) )
& ( ! [X7] :
( ( a_member_of(X7,X6)
| ~ a_member_of(X7,X5) )
& ( a_member_of(X7,X5)
| ~ a_member_of(X7,X6) ) )
| ~ eq(X5,X6) ) ) )
| ~ sP4 ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
( ( ? [X9,X8] :
( eq(X9,X8)
& ~ eq(X8,X9) )
& ! [X6,X5] :
( eq(X5,X6)
<=> ! [X7] :
( a_member_of(X7,X6)
<=> a_member_of(X7,X5) ) ) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f502,plain,
( sP4
| ~ spl103_31 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f500,plain,
( spl103_31
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_31])]) ).
fof(f1035,plain,
( ! [X1] :
( ~ eq(X1,sK89)
| ~ a_member_of(sK90(sK88,sK89),X1) )
| ~ spl103_31
| spl103_78 ),
inference(resolution,[],[f1019,f1007]) ).
fof(f1007,plain,
( ! [X2,X0,X1] :
( a_member_of(X2,X0)
| ~ a_member_of(X2,X1)
| ~ eq(X1,X0) )
| ~ spl103_31 ),
inference(resolution,[],[f502,f329]) ).
fof(f329,plain,
! [X2,X3,X5] :
( ~ sP4
| ~ a_member_of(X5,X3)
| a_member_of(X5,X2)
| ~ eq(X3,X2) ),
inference(cnf_transformation,[],[f187]) ).
fof(f1019,plain,
( ~ a_member_of(sK90(sK88,sK89),sK89)
| spl103_78 ),
inference(avatar_component_clause,[],[f1017]) ).
fof(f1017,plain,
( spl103_78
<=> a_member_of(sK90(sK88,sK89),sK89) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_78])]) ).
fof(f1032,plain,
( ~ spl103_31
| spl103_77 ),
inference(avatar_contradiction_clause,[],[f1031]) ).
fof(f1031,plain,
( $false
| ~ spl103_31
| spl103_77 ),
inference(subsumption_resolution,[],[f1030,f1005]) ).
fof(f1005,plain,
( ~ eq(sK89,sK88)
| ~ spl103_31 ),
inference(resolution,[],[f502,f332]) ).
fof(f332,plain,
( ~ sP4
| ~ eq(sK89,sK88) ),
inference(cnf_transformation,[],[f187]) ).
fof(f1030,plain,
( eq(sK89,sK88)
| ~ spl103_31
| spl103_77 ),
inference(subsumption_resolution,[],[f1029,f1015]) ).
fof(f1015,plain,
( ~ a_member_of(sK90(sK88,sK89),sK88)
| spl103_77 ),
inference(avatar_component_clause,[],[f1013]) ).
fof(f1029,plain,
( a_member_of(sK90(sK88,sK89),sK88)
| eq(sK89,sK88)
| ~ spl103_31
| spl103_77 ),
inference(subsumption_resolution,[],[f1026,f1008]) ).
fof(f1026,plain,
( ~ eq(sK88,sK89)
| a_member_of(sK90(sK88,sK89),sK88)
| eq(sK89,sK88)
| ~ spl103_31
| spl103_77 ),
inference(resolution,[],[f1024,f1009]) ).
fof(f1009,plain,
( ! [X0,X1] :
( a_member_of(sK90(X0,X1),X1)
| a_member_of(sK90(X0,X1),X0)
| eq(X1,X0) )
| ~ spl103_31 ),
inference(resolution,[],[f502,f330]) ).
fof(f330,plain,
! [X2,X3] :
( ~ sP4
| a_member_of(sK90(X2,X3),X3)
| a_member_of(sK90(X2,X3),X2)
| eq(X3,X2) ),
inference(cnf_transformation,[],[f187]) ).
fof(f1024,plain,
( ! [X0] :
( ~ a_member_of(sK90(sK88,sK89),X0)
| ~ eq(sK88,X0) )
| ~ spl103_31
| spl103_77 ),
inference(resolution,[],[f1015,f1010]) ).
fof(f1010,plain,
( ! [X2,X0,X1] :
( a_member_of(X2,X1)
| ~ a_member_of(X2,X0)
| ~ eq(X1,X0) )
| ~ spl103_31 ),
inference(resolution,[],[f502,f328]) ).
fof(f328,plain,
! [X2,X3,X5] :
( ~ sP4
| ~ a_member_of(X5,X2)
| a_member_of(X5,X3)
| ~ eq(X3,X2) ),
inference(cnf_transformation,[],[f187]) ).
fof(f1020,plain,
( ~ spl103_77
| ~ spl103_78
| ~ spl103_31 ),
inference(avatar_split_clause,[],[f1011,f500,f1017,f1013]) ).
fof(f1011,plain,
( ~ a_member_of(sK90(sK88,sK89),sK89)
| ~ a_member_of(sK90(sK88,sK89),sK88)
| ~ spl103_31 ),
inference(resolution,[],[f1006,f1005]) ).
fof(f1006,plain,
( ! [X0,X1] :
( eq(X1,X0)
| ~ a_member_of(sK90(X0,X1),X0)
| ~ a_member_of(sK90(X0,X1),X1) )
| ~ spl103_31 ),
inference(resolution,[],[f502,f331]) ).
fof(f331,plain,
! [X2,X3] :
( ~ sP4
| ~ a_member_of(sK90(X2,X3),X2)
| ~ a_member_of(sK90(X2,X3),X3)
| eq(X3,X2) ),
inference(cnf_transformation,[],[f187]) ).
fof(f1004,plain,
( ~ spl103_20
| ~ spl103_47 ),
inference(avatar_contradiction_clause,[],[f1003]) ).
fof(f1003,plain,
( $false
| ~ spl103_20
| ~ spl103_47 ),
inference(subsumption_resolution,[],[f1002,f649]) ).
fof(f649,plain,
( ! [X0,X1] : p(X1,X0)
| ~ spl103_47 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f648,plain,
( spl103_47
<=> ! [X0,X1] : p(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_47])]) ).
fof(f1002,plain,
( ~ p(sK44,sK44)
| ~ spl103_20 ),
inference(resolution,[],[f458,f220]) ).
fof(f220,plain,
( ~ sP34
| ~ p(sK44,sK44) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
( ( ! [X0,X1] : p(X1,X0)
& ~ p(sK44,sK44) )
| ~ sP34 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK44])],[f66,f67]) ).
fof(f67,plain,
( ? [X2] : ~ p(X2,X2)
=> ~ p(sK44,sK44) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
( ( ! [X0,X1] : p(X1,X0)
& ? [X2] : ~ p(X2,X2) )
| ~ sP34 ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
( ( ! [X101,X100] : p(X100,X101)
& ? [X102] : ~ p(X102,X102) )
| ~ sP34 ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
( ( ! [X101,X100] : p(X100,X101)
& ? [X102] : ~ p(X102,X102) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f458,plain,
( sP34
| ~ spl103_20 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f456,plain,
( spl103_20
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_20])]) ).
fof(f1000,plain,
( ~ spl103_19
| ~ spl103_34 ),
inference(avatar_contradiction_clause,[],[f999]) ).
fof(f999,plain,
( $false
| ~ spl103_19
| ~ spl103_34 ),
inference(subsumption_resolution,[],[f538,f454]) ).
fof(f538,plain,
( p1(sK98)
| ~ spl103_34 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f998,plain,
( ~ spl103_13
| ~ spl103_50 ),
inference(avatar_contradiction_clause,[],[f997]) ).
fof(f997,plain,
( $false
| ~ spl103_13
| ~ spl103_50 ),
inference(subsumption_resolution,[],[f996,f667]) ).
fof(f996,plain,
( ! [X2] : q1(f(X2))
| ~ spl103_13 ),
inference(resolution,[],[f431,f272]) ).
fof(f992,plain,
( spl103_53
| ~ spl103_54 ),
inference(avatar_contradiction_clause,[],[f991]) ).
fof(f991,plain,
( $false
| spl103_53
| ~ spl103_54 ),
inference(subsumption_resolution,[],[f679,f683]) ).
fof(f679,plain,
( ~ r1(sK68)
| spl103_53 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f677,plain,
( spl103_53
<=> r1(sK68) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_53])]) ).
fof(f990,plain,
( spl103_51
| ~ spl103_54 ),
inference(avatar_contradiction_clause,[],[f989]) ).
fof(f989,plain,
( $false
| spl103_51
| ~ spl103_54 ),
inference(subsumption_resolution,[],[f672,f683]) ).
fof(f672,plain,
( ~ r1(sK67)
| spl103_51 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f670,plain,
( spl103_51
<=> r1(sK67) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_51])]) ).
fof(f988,plain,
( spl103_76
| spl103_19
| spl103_66
| ~ spl103_24 ),
inference(avatar_split_clause,[],[f976,f472,f818,f453,f981]) ).
fof(f981,plain,
( spl103_76
<=> q0 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_76])]) ).
fof(f818,plain,
( spl103_66
<=> b0 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_66])]) ).
fof(f976,plain,
( ! [X0] :
( b0
| ~ p1(X0)
| q0 )
| ~ spl103_24 ),
inference(resolution,[],[f474,f336]) ).
fof(f336,plain,
! [X1] :
( ~ sP3
| b0
| ~ p1(X1)
| q0 ),
inference(cnf_transformation,[],[f191]) ).
fof(f987,plain,
( ~ spl103_76
| spl103_19
| ~ spl103_66
| ~ spl103_24 ),
inference(avatar_split_clause,[],[f979,f472,f818,f453,f981]) ).
fof(f979,plain,
( ! [X0] :
( ~ b0
| ~ p1(X0)
| ~ q0 )
| ~ spl103_24 ),
inference(resolution,[],[f474,f335]) ).
fof(f335,plain,
! [X1] :
( ~ sP3
| ~ q0
| ~ p1(X1)
| ~ b0 ),
inference(cnf_transformation,[],[f191]) ).
fof(f985,plain,
( spl103_76
| spl103_19
| ~ spl103_66
| ~ spl103_24 ),
inference(avatar_split_clause,[],[f975,f472,f818,f453,f981]) ).
fof(f975,plain,
( ! [X0] :
( ~ b0
| ~ p1(X0)
| q0 )
| ~ spl103_24 ),
inference(resolution,[],[f474,f334]) ).
fof(f334,plain,
! [X1] :
( ~ sP3
| ~ p1(X1)
| ~ b0
| q0 ),
inference(cnf_transformation,[],[f191]) ).
fof(f984,plain,
( ~ spl103_76
| spl103_66
| spl103_19
| ~ spl103_24 ),
inference(avatar_split_clause,[],[f978,f472,f453,f818,f981]) ).
fof(f978,plain,
( ! [X0] :
( ~ p1(X0)
| b0
| ~ q0 )
| ~ spl103_24 ),
inference(resolution,[],[f474,f337]) ).
fof(f337,plain,
! [X1] :
( ~ sP3
| ~ q0
| b0
| ~ p1(X1) ),
inference(cnf_transformation,[],[f191]) ).
fof(f973,plain,
( ~ spl103_58
| ~ spl103_60 ),
inference(avatar_contradiction_clause,[],[f972]) ).
fof(f972,plain,
( $false
| ~ spl103_58
| ~ spl103_60 ),
inference(subsumption_resolution,[],[f715,f723]) ).
fof(f715,plain,
( a(sK48,sK47)
| ~ spl103_58 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f713,plain,
( spl103_58
<=> a(sK48,sK47) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_58])]) ).
fof(f971,plain,
( ~ spl103_25
| ~ spl103_70
| spl103_71 ),
inference(avatar_contradiction_clause,[],[f970]) ).
fof(f970,plain,
( $false
| ~ spl103_25
| ~ spl103_70
| spl103_71 ),
inference(subsumption_resolution,[],[f969,f864]) ).
fof(f864,plain,
( ~ g(sK95)
| spl103_71 ),
inference(avatar_component_clause,[],[f863]) ).
fof(f863,plain,
( spl103_71
<=> g(sK95) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_71])]) ).
fof(f969,plain,
( g(sK95)
| ~ spl103_25
| ~ spl103_70 ),
inference(subsumption_resolution,[],[f968,f960]) ).
fof(f960,plain,
( e(sK95)
| ~ spl103_25 ),
inference(resolution,[],[f478,f349]) ).
fof(f349,plain,
( ~ sP1
| e(sK95) ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
( ! [X1,X2,X3,X4,X5] :
( ( ~ p1(X3)
| ~ g(X3) )
& ( g(X2)
| ~ e(X2)
| c(f(X2)) )
& ( s(X5,f(X5))
| ~ e(X5)
| g(X5) )
& e(sK95)
& p1(sK95)
& ( ~ p1(X4)
| ~ c(X4) )
& ( ~ s(sK95,X1)
| p1(X1) ) )
| ~ sP1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK95])],[f197,f198]) ).
fof(f198,plain,
( ? [X0] :
! [X1,X2,X3,X4,X5] :
( ( ~ p1(X3)
| ~ g(X3) )
& ( g(X2)
| ~ e(X2)
| c(f(X2)) )
& ( s(X5,f(X5))
| ~ e(X5)
| g(X5) )
& e(X0)
& p1(X0)
& ( ~ p1(X4)
| ~ c(X4) )
& ( ~ s(X0,X1)
| p1(X1) ) )
=> ! [X5,X4,X3,X2,X1] :
( ( ~ p1(X3)
| ~ g(X3) )
& ( g(X2)
| ~ e(X2)
| c(f(X2)) )
& ( s(X5,f(X5))
| ~ e(X5)
| g(X5) )
& e(sK95)
& p1(sK95)
& ( ~ p1(X4)
| ~ c(X4) )
& ( ~ s(sK95,X1)
| p1(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f197,plain,
( ? [X0] :
! [X1,X2,X3,X4,X5] :
( ( ~ p1(X3)
| ~ g(X3) )
& ( g(X2)
| ~ e(X2)
| c(f(X2)) )
& ( s(X5,f(X5))
| ~ e(X5)
| g(X5) )
& e(X0)
& p1(X0)
& ( ~ p1(X4)
| ~ c(X4) )
& ( ~ s(X0,X1)
| p1(X1) ) )
| ~ sP1 ),
inference(rectify,[],[f196]) ).
fof(f196,plain,
( ? [X94] :
! [X98,X95,X97,X96,X99] :
( ( ~ p1(X97)
| ~ g(X97) )
& ( g(X95)
| ~ e(X95)
| c(f(X95)) )
& ( s(X99,f(X99))
| ~ e(X99)
| g(X99) )
& e(X94)
& p1(X94)
& ( ~ p1(X96)
| ~ c(X96) )
& ( ~ s(X94,X98)
| p1(X98) ) )
| ~ sP1 ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,plain,
( ? [X94] :
! [X98,X95,X97,X96,X99] :
( ( ~ p1(X97)
| ~ g(X97) )
& ( g(X95)
| ~ e(X95)
| c(f(X95)) )
& ( s(X99,f(X99))
| ~ e(X99)
| g(X99) )
& e(X94)
& p1(X94)
& ( ~ p1(X96)
| ~ c(X96) )
& ( ~ s(X94,X98)
| p1(X98) ) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f478,plain,
( sP1
| ~ spl103_25 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f476,plain,
( spl103_25
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_25])]) ).
fof(f968,plain,
( ~ e(sK95)
| g(sK95)
| ~ spl103_25
| ~ spl103_70 ),
inference(resolution,[],[f967,f861]) ).
fof(f861,plain,
( p1(f(sK95))
| ~ spl103_70 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f859,plain,
( spl103_70
<=> p1(f(sK95)) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_70])]) ).
fof(f967,plain,
( ! [X0] :
( ~ p1(f(X0))
| ~ e(X0)
| g(X0) )
| ~ spl103_25 ),
inference(resolution,[],[f962,f958]) ).
fof(f958,plain,
( ! [X1] :
( ~ c(X1)
| ~ p1(X1) )
| ~ spl103_25 ),
inference(resolution,[],[f478,f347]) ).
fof(f347,plain,
! [X4] :
( ~ sP1
| ~ c(X4)
| ~ p1(X4) ),
inference(cnf_transformation,[],[f199]) ).
fof(f962,plain,
( ! [X3] :
( c(f(X3))
| g(X3)
| ~ e(X3) )
| ~ spl103_25 ),
inference(resolution,[],[f478,f351]) ).
fof(f351,plain,
! [X2] :
( ~ sP1
| c(f(X2))
| g(X2)
| ~ e(X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f966,plain,
( ~ spl103_25
| ~ spl103_71 ),
inference(avatar_contradiction_clause,[],[f965]) ).
fof(f965,plain,
( $false
| ~ spl103_25
| ~ spl103_71 ),
inference(subsumption_resolution,[],[f964,f959]) ).
fof(f959,plain,
( p1(sK95)
| ~ spl103_25 ),
inference(resolution,[],[f478,f348]) ).
fof(f348,plain,
( ~ sP1
| p1(sK95) ),
inference(cnf_transformation,[],[f199]) ).
fof(f964,plain,
( ~ p1(sK95)
| ~ spl103_25
| ~ spl103_71 ),
inference(resolution,[],[f865,f963]) ).
fof(f963,plain,
( ! [X4] :
( ~ g(X4)
| ~ p1(X4) )
| ~ spl103_25 ),
inference(resolution,[],[f478,f352]) ).
fof(f352,plain,
! [X3] :
( ~ sP1
| ~ p1(X3)
| ~ g(X3) ),
inference(cnf_transformation,[],[f199]) ).
fof(f865,plain,
( g(sK95)
| ~ spl103_71 ),
inference(avatar_component_clause,[],[f863]) ).
fof(f956,plain,
( ~ spl103_75
| ~ spl103_74
| ~ spl103_27 ),
inference(avatar_split_clause,[],[f940,f484,f945,f950]) ).
fof(f484,plain,
( spl103_27
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_27])]) ).
fof(f940,plain,
( ~ p1(sK83)
| ~ p1(sK82)
| ~ spl103_27 ),
inference(resolution,[],[f486,f313]) ).
fof(f313,plain,
( ~ sP7
| ~ p1(sK82)
| ~ p1(sK83) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
( ( ! [X2] :
( ( p1(X2)
& ~ p1(sK83) )
| ( ~ p1(sK82)
& q1(X2) ) )
& ! [X3] :
( p1(X3)
| ~ q1(X3) ) )
| ~ sP7 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK82,sK83])],[f172,f173]) ).
fof(f173,plain,
( ? [X0,X1] :
( ! [X2] :
( ( p1(X2)
& ~ p1(X1) )
| ( ~ p1(X0)
& q1(X2) ) )
& ! [X3] :
( p1(X3)
| ~ q1(X3) ) )
=> ( ! [X2] :
( ( p1(X2)
& ~ p1(sK83) )
| ( ~ p1(sK82)
& q1(X2) ) )
& ! [X3] :
( p1(X3)
| ~ q1(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f172,plain,
( ? [X0,X1] :
( ! [X2] :
( ( p1(X2)
& ~ p1(X1) )
| ( ~ p1(X0)
& q1(X2) ) )
& ! [X3] :
( p1(X3)
| ~ q1(X3) ) )
| ~ sP7 ),
inference(rectify,[],[f171]) ).
fof(f171,plain,
( ? [X81,X82] :
( ! [X84] :
( ( p1(X84)
& ~ p1(X82) )
| ( ~ p1(X81)
& q1(X84) ) )
& ! [X83] :
( p1(X83)
| ~ q1(X83) ) )
| ~ sP7 ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
( ? [X81,X82] :
( ! [X84] :
( ( p1(X84)
& ~ p1(X82) )
| ( ~ p1(X81)
& q1(X84) ) )
& ! [X83] :
( p1(X83)
| ~ q1(X83) ) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f486,plain,
( sP7
| ~ spl103_27 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f955,plain,
( spl103_3
| ~ spl103_27 ),
inference(avatar_split_clause,[],[f954,f484,f390]) ).
fof(f954,plain,
( ! [X1] : p1(X1)
| ~ spl103_27 ),
inference(subsumption_resolution,[],[f942,f941]) ).
fof(f941,plain,
( ! [X0] :
( q1(X0)
| p1(X0) )
| ~ spl103_27 ),
inference(resolution,[],[f486,f314]) ).
fof(f314,plain,
! [X2] :
( ~ sP7
| p1(X2)
| q1(X2) ),
inference(cnf_transformation,[],[f174]) ).
fof(f942,plain,
( ! [X1] :
( p1(X1)
| ~ q1(X1) )
| ~ spl103_27 ),
inference(resolution,[],[f486,f311]) ).
fof(f311,plain,
! [X3] :
( ~ sP7
| ~ q1(X3)
| p1(X3) ),
inference(cnf_transformation,[],[f174]) ).
fof(f933,plain,
( spl103_72
| spl103_73
| ~ spl103_30 ),
inference(avatar_split_clause,[],[f923,f496,f931,f927]) ).
fof(f923,plain,
( ! [X0,X1] :
( ~ p(X0,X1)
| q(f(sK75),sK75) )
| ~ spl103_30 ),
inference(resolution,[],[f498,f293]) ).
fof(f293,plain,
! [X2,X3] :
( ~ sP11
| q(f(sK75),sK75)
| ~ p(X3,X2) ),
inference(cnf_transformation,[],[f158]) ).
fof(f920,plain,
( ~ spl103_1
| ~ spl103_54 ),
inference(avatar_contradiction_clause,[],[f919]) ).
fof(f919,plain,
( $false
| ~ spl103_1
| ~ spl103_54 ),
inference(subsumption_resolution,[],[f916,f683]) ).
fof(f916,plain,
( ~ r1(sK56)
| ~ spl103_1 ),
inference(resolution,[],[f384,f235]) ).
fof(f235,plain,
( ~ sP27
| ~ r1(sK56) ),
inference(cnf_transformation,[],[f96]) ).
fof(f915,plain,
~ spl103_15,
inference(avatar_contradiction_clause,[],[f914]) ).
fof(f914,plain,
( $false
| ~ spl103_15 ),
inference(subsumption_resolution,[],[f913,f909]) ).
fof(f909,plain,
( ~ q1(sK64)
| ~ spl103_15 ),
inference(resolution,[],[f439,f258]) ).
fof(f258,plain,
( ~ sP20
| ~ q1(sK64) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
( ( ! [X1] :
( q1(X1)
| ~ p1(X1) )
& ~ q1(sK64)
& ! [X2] :
( ~ r1(X2)
| p1(X2) )
& r1(sK64) )
| ~ sP20 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK64])],[f122,f123]) ).
fof(f123,plain,
( ? [X0] :
( ! [X1] :
( q1(X1)
| ~ p1(X1) )
& ~ q1(X0)
& ! [X2] :
( ~ r1(X2)
| p1(X2) )
& r1(X0) )
=> ( ! [X1] :
( q1(X1)
| ~ p1(X1) )
& ~ q1(sK64)
& ! [X2] :
( ~ r1(X2)
| p1(X2) )
& r1(sK64) ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
( ? [X0] :
( ! [X1] :
( q1(X1)
| ~ p1(X1) )
& ~ q1(X0)
& ! [X2] :
( ~ r1(X2)
| p1(X2) )
& r1(X0) )
| ~ sP20 ),
inference(rectify,[],[f121]) ).
fof(f121,plain,
( ? [X16] :
( ! [X17] :
( q1(X17)
| ~ p1(X17) )
& ~ q1(X16)
& ! [X18] :
( ~ r1(X18)
| p1(X18) )
& r1(X16) )
| ~ sP20 ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
( ? [X16] :
( ! [X17] :
( q1(X17)
| ~ p1(X17) )
& ~ q1(X16)
& ! [X18] :
( ~ r1(X18)
| p1(X18) )
& r1(X16) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f439,plain,
( sP20
| ~ spl103_15 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f437,plain,
( spl103_15
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_15])]) ).
fof(f913,plain,
( q1(sK64)
| ~ spl103_15 ),
inference(resolution,[],[f911,f912]) ).
fof(f912,plain,
( p1(sK64)
| ~ spl103_15 ),
inference(resolution,[],[f908,f910]) ).
fof(f910,plain,
( r1(sK64)
| ~ spl103_15 ),
inference(resolution,[],[f439,f256]) ).
fof(f256,plain,
( ~ sP20
| r1(sK64) ),
inference(cnf_transformation,[],[f124]) ).
fof(f908,plain,
( ! [X0] :
( ~ r1(X0)
| p1(X0) )
| ~ spl103_15 ),
inference(resolution,[],[f439,f257]) ).
fof(f257,plain,
! [X2] :
( ~ sP20
| ~ r1(X2)
| p1(X2) ),
inference(cnf_transformation,[],[f124]) ).
fof(f911,plain,
( ! [X1] :
( ~ p1(X1)
| q1(X1) )
| ~ spl103_15 ),
inference(resolution,[],[f439,f259]) ).
fof(f259,plain,
! [X1] :
( ~ sP20
| ~ p1(X1)
| q1(X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f907,plain,
~ spl103_26,
inference(avatar_contradiction_clause,[],[f906]) ).
fof(f906,plain,
( $false
| ~ spl103_26 ),
inference(subsumption_resolution,[],[f905,f904]) ).
fof(f904,plain,
( ! [X2,X0] : ~ p(X2,X0)
| ~ spl103_26 ),
inference(subsumption_resolution,[],[f899,f900]) ).
fof(f900,plain,
( ! [X2,X0,X1] :
( ~ p(X2,X0)
| p(X0,X1) )
| ~ spl103_26 ),
inference(resolution,[],[f482,f324]) ).
fof(f324,plain,
! [X2,X3,X0] :
( ~ sP5
| p(X2,X0)
| ~ p(X3,X2) ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
( ! [X0,X2] :
( ( ~ p(X2,sK87(X0))
& p(X2,X0)
& p(X0,X2) )
| ( p(X2,sK87(X0))
& ! [X3] : ~ p(X3,X2) ) )
| ~ sP5 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK87])],[f180,f181]) ).
fof(f181,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( ~ p(X2,X1)
& p(X2,X0)
& p(X0,X2) )
| ( p(X2,X1)
& ! [X3] : ~ p(X3,X2) ) )
=> ! [X2] :
( ( ~ p(X2,sK87(X0))
& p(X2,X0)
& p(X0,X2) )
| ( p(X2,sK87(X0))
& ! [X3] : ~ p(X3,X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f180,plain,
( ! [X0] :
? [X1] :
! [X2] :
( ( ~ p(X2,X1)
& p(X2,X0)
& p(X0,X2) )
| ( p(X2,X1)
& ! [X3] : ~ p(X3,X2) ) )
| ~ sP5 ),
inference(rectify,[],[f179]) ).
fof(f179,plain,
( ! [X70] :
? [X71] :
! [X72] :
( ( ~ p(X72,X71)
& p(X72,X70)
& p(X70,X72) )
| ( p(X72,X71)
& ! [X73] : ~ p(X73,X72) ) )
| ~ sP5 ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
( ! [X70] :
? [X71] :
! [X72] :
( ( ~ p(X72,X71)
& p(X72,X70)
& p(X70,X72) )
| ( p(X72,X71)
& ! [X73] : ~ p(X73,X72) ) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f482,plain,
( sP5
| ~ spl103_26 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f480,plain,
( spl103_26
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_26])]) ).
fof(f899,plain,
( ! [X2,X0,X1] :
( ~ p(X2,X0)
| ~ p(X0,sK87(X1)) )
| ~ spl103_26 ),
inference(resolution,[],[f482,f326]) ).
fof(f326,plain,
! [X2,X3,X0] :
( ~ sP5
| ~ p(X2,sK87(X0))
| ~ p(X3,X2) ),
inference(cnf_transformation,[],[f182]) ).
fof(f905,plain,
( ! [X0,X1] : p(X0,sK87(X1))
| ~ spl103_26 ),
inference(subsumption_resolution,[],[f903,f904]) ).
fof(f903,plain,
( ! [X0,X1] :
( p(X0,X1)
| p(X0,sK87(X1)) )
| ~ spl103_26 ),
inference(resolution,[],[f482,f325]) ).
fof(f325,plain,
! [X2,X0] :
( ~ sP5
| p(X2,X0)
| p(X2,sK87(X0)) ),
inference(cnf_transformation,[],[f182]) ).
fof(f898,plain,
~ spl103_28,
inference(avatar_contradiction_clause,[],[f897]) ).
fof(f897,plain,
( $false
| ~ spl103_28 ),
inference(subsumption_resolution,[],[f896,f893]) ).
fof(f893,plain,
( a1(sK69)
| ~ spl103_28 ),
inference(resolution,[],[f490,f277]) ).
fof(f277,plain,
( ~ sP15
| a1(sK69) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
( ( ! [X0] :
( ~ a1(X0)
| ~ c(X0) )
& ! [X1] :
( c(X1)
| ~ a1(X1)
| b(X1) )
& a1(sK69)
& ~ b(sK69) )
| ~ sP15 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK69])],[f139,f140]) ).
fof(f140,plain,
( ? [X2] :
( a1(X2)
& ~ b(X2) )
=> ( a1(sK69)
& ~ b(sK69) ) ),
introduced(choice_axiom,[]) ).
fof(f139,plain,
( ( ! [X0] :
( ~ a1(X0)
| ~ c(X0) )
& ! [X1] :
( c(X1)
| ~ a1(X1)
| b(X1) )
& ? [X2] :
( a1(X2)
& ~ b(X2) ) )
| ~ sP15 ),
inference(rectify,[],[f138]) ).
fof(f138,plain,
( ( ! [X63] :
( ~ a1(X63)
| ~ c(X63) )
& ! [X61] :
( c(X61)
| ~ a1(X61)
| b(X61) )
& ? [X62] :
( a1(X62)
& ~ b(X62) ) )
| ~ sP15 ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
( ( ! [X63] :
( ~ a1(X63)
| ~ c(X63) )
& ! [X61] :
( c(X61)
| ~ a1(X61)
| b(X61) )
& ? [X62] :
( a1(X62)
& ~ b(X62) ) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f490,plain,
( sP15
| ~ spl103_28 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f488,plain,
( spl103_28
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_28])]) ).
fof(f896,plain,
( ~ a1(sK69)
| ~ spl103_28 ),
inference(resolution,[],[f895,f891]) ).
fof(f891,plain,
( ~ b(sK69)
| ~ spl103_28 ),
inference(resolution,[],[f490,f276]) ).
fof(f276,plain,
( ~ sP15
| ~ b(sK69) ),
inference(cnf_transformation,[],[f141]) ).
fof(f895,plain,
( ! [X0] :
( b(X0)
| ~ a1(X0) )
| ~ spl103_28 ),
inference(subsumption_resolution,[],[f892,f894]) ).
fof(f894,plain,
( ! [X1] :
( ~ c(X1)
| ~ a1(X1) )
| ~ spl103_28 ),
inference(resolution,[],[f490,f279]) ).
fof(f279,plain,
! [X0] :
( ~ sP15
| ~ a1(X0)
| ~ c(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f892,plain,
( ! [X0] :
( c(X0)
| b(X0)
| ~ a1(X0) )
| ~ spl103_28 ),
inference(resolution,[],[f490,f278]) ).
fof(f278,plain,
! [X1] :
( ~ sP15
| ~ a1(X1)
| b(X1)
| c(X1) ),
inference(cnf_transformation,[],[f141]) ).
fof(f890,plain,
~ spl103_22,
inference(avatar_contradiction_clause,[],[f889]) ).
fof(f889,plain,
( $false
| ~ spl103_22 ),
inference(resolution,[],[f888,f887]) ).
fof(f887,plain,
( ! [X0] : p(sK49,X0)
| ~ spl103_22 ),
inference(resolution,[],[f466,f227]) ).
fof(f227,plain,
! [X1] :
( ~ sP31
| p(sK49,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
( ( ! [X1] : p(sK49,X1)
& ! [X3] : ~ p(X3,sK50) )
| ~ sP31 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK49,sK50])],[f76,f78,f77]) ).
fof(f77,plain,
( ? [X0] :
! [X1] : p(X0,X1)
=> ! [X1] : p(sK49,X1) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
( ? [X2] :
! [X3] : ~ p(X3,X2)
=> ! [X3] : ~ p(X3,sK50) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
( ( ? [X0] :
! [X1] : p(X0,X1)
& ? [X2] :
! [X3] : ~ p(X3,X2) )
| ~ sP31 ),
inference(rectify,[],[f75]) ).
fof(f75,plain,
( ( ? [X10] :
! [X11] : p(X10,X11)
& ? [X12] :
! [X13] : ~ p(X13,X12) )
| ~ sP31 ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
( ( ? [X10] :
! [X11] : p(X10,X11)
& ? [X12] :
! [X13] : ~ p(X13,X12) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f466,plain,
( sP31
| ~ spl103_22 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f464,plain,
( spl103_22
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_22])]) ).
fof(f888,plain,
( ! [X1] : ~ p(X1,sK50)
| ~ spl103_22 ),
inference(resolution,[],[f466,f226]) ).
fof(f226,plain,
! [X3] :
( ~ sP31
| ~ p(X3,sK50) ),
inference(cnf_transformation,[],[f79]) ).
fof(f886,plain,
( spl103_67
| ~ spl103_7 ),
inference(avatar_split_clause,[],[f879,f405,f822]) ).
fof(f822,plain,
( spl103_67
<=> a0 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_67])]) ).
fof(f405,plain,
( spl103_7
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_7])]) ).
fof(f879,plain,
( a0
| ~ spl103_7 ),
inference(resolution,[],[f407,f262]) ).
fof(f262,plain,
( ~ sP19
| a0 ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
( ( b0
& a0
& ( ~ b0
| ~ a0 )
& ( b0
| a0 ) )
| ~ sP19 ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
( ( b0
& a0
& ( ~ b0
| ~ a0 )
& ( b0
| a0 ) )
| ~ sP19 ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
( ( b0
& a0
& ( a0
<~> b0 ) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f407,plain,
( sP19
| ~ spl103_7 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f885,plain,
( ~ spl103_67
| ~ spl103_66
| ~ spl103_7 ),
inference(avatar_split_clause,[],[f880,f405,f818,f822]) ).
fof(f880,plain,
( ~ b0
| ~ a0
| ~ spl103_7 ),
inference(resolution,[],[f407,f261]) ).
fof(f261,plain,
( ~ sP19
| ~ a0
| ~ b0 ),
inference(cnf_transformation,[],[f126]) ).
fof(f883,plain,
( spl103_66
| ~ spl103_7 ),
inference(avatar_split_clause,[],[f881,f405,f818]) ).
fof(f881,plain,
( b0
| ~ spl103_7 ),
inference(resolution,[],[f407,f263]) ).
fof(f263,plain,
( ~ sP19
| b0 ),
inference(cnf_transformation,[],[f126]) ).
fof(f878,plain,
~ spl103_11,
inference(avatar_contradiction_clause,[],[f877]) ).
fof(f877,plain,
( $false
| ~ spl103_11 ),
inference(subsumption_resolution,[],[f876,f868]) ).
fof(f868,plain,
( s1(sK92)
| ~ spl103_11 ),
inference(resolution,[],[f423,f340]) ).
fof(f340,plain,
( ~ sP2
| s1(sK92) ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
( ( ! [X3] :
( ~ s1(X3)
| p1(X3) )
& r(sK92,sK94)
& ! [X4,X5] :
( ~ q(X5,X4)
| ~ p1(X5) )
& ! [X6,X7] :
( q(X6,X7)
| ~ r(X6,X7) )
& s1(sK93)
& s1(sK92) )
| ~ sP2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK92,sK93,sK94])],[f193,f194]) ).
fof(f194,plain,
( ? [X0,X1,X2] :
( ! [X3] :
( ~ s1(X3)
| p1(X3) )
& r(X0,X2)
& ! [X4,X5] :
( ~ q(X5,X4)
| ~ p1(X5) )
& ! [X6,X7] :
( q(X6,X7)
| ~ r(X6,X7) )
& s1(X1)
& s1(X0) )
=> ( ! [X3] :
( ~ s1(X3)
| p1(X3) )
& r(sK92,sK94)
& ! [X4,X5] :
( ~ q(X5,X4)
| ~ p1(X5) )
& ! [X6,X7] :
( q(X6,X7)
| ~ r(X6,X7) )
& s1(sK93)
& s1(sK92) ) ),
introduced(choice_axiom,[]) ).
fof(f193,plain,
( ? [X0,X1,X2] :
( ! [X3] :
( ~ s1(X3)
| p1(X3) )
& r(X0,X2)
& ! [X4,X5] :
( ~ q(X5,X4)
| ~ p1(X5) )
& ! [X6,X7] :
( q(X6,X7)
| ~ r(X6,X7) )
& s1(X1)
& s1(X0) )
| ~ sP2 ),
inference(rectify,[],[f192]) ).
fof(f192,plain,
( ? [X21,X20,X19] :
( ! [X22] :
( ~ s1(X22)
| p1(X22) )
& r(X21,X19)
& ! [X26,X25] :
( ~ q(X25,X26)
| ~ p1(X25) )
& ! [X24,X23] :
( q(X24,X23)
| ~ r(X24,X23) )
& s1(X20)
& s1(X21) )
| ~ sP2 ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
( ? [X21,X20,X19] :
( ! [X22] :
( ~ s1(X22)
| p1(X22) )
& r(X21,X19)
& ! [X26,X25] :
( ~ q(X25,X26)
| ~ p1(X25) )
& ! [X24,X23] :
( q(X24,X23)
| ~ r(X24,X23) )
& s1(X20)
& s1(X21) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f423,plain,
( sP2
| ~ spl103_11 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f421,plain,
( spl103_11
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_11])]) ).
fof(f876,plain,
( ~ s1(sK92)
| ~ spl103_11 ),
inference(resolution,[],[f875,f867]) ).
fof(f867,plain,
( r(sK92,sK94)
| ~ spl103_11 ),
inference(resolution,[],[f423,f344]) ).
fof(f344,plain,
( ~ sP2
| r(sK92,sK94) ),
inference(cnf_transformation,[],[f195]) ).
fof(f875,plain,
( ! [X0,X1] :
( ~ r(X0,X1)
| ~ s1(X0) )
| ~ spl103_11 ),
inference(resolution,[],[f874,f872]) ).
fof(f872,plain,
( ! [X4] :
( p1(X4)
| ~ s1(X4) )
| ~ spl103_11 ),
inference(resolution,[],[f423,f345]) ).
fof(f345,plain,
! [X3] :
( ~ sP2
| p1(X3)
| ~ s1(X3) ),
inference(cnf_transformation,[],[f195]) ).
fof(f874,plain,
( ! [X0,X1] :
( ~ p1(X0)
| ~ r(X0,X1) )
| ~ spl103_11 ),
inference(resolution,[],[f870,f871]) ).
fof(f871,plain,
( ! [X2,X3] :
( ~ q(X2,X3)
| ~ p1(X2) )
| ~ spl103_11 ),
inference(resolution,[],[f423,f343]) ).
fof(f343,plain,
! [X4,X5] :
( ~ sP2
| ~ q(X5,X4)
| ~ p1(X5) ),
inference(cnf_transformation,[],[f195]) ).
fof(f870,plain,
( ! [X0,X1] :
( q(X0,X1)
| ~ r(X0,X1) )
| ~ spl103_11 ),
inference(resolution,[],[f423,f342]) ).
fof(f342,plain,
! [X6,X7] :
( ~ sP2
| q(X6,X7)
| ~ r(X6,X7) ),
inference(cnf_transformation,[],[f195]) ).
fof(f866,plain,
( spl103_70
| spl103_71
| ~ spl103_25 ),
inference(avatar_split_clause,[],[f857,f476,f863,f859]) ).
fof(f857,plain,
( g(sK95)
| p1(f(sK95))
| ~ spl103_25 ),
inference(subsumption_resolution,[],[f856,f851]) ).
fof(f851,plain,
( e(sK95)
| ~ spl103_25 ),
inference(resolution,[],[f478,f349]) ).
fof(f856,plain,
( ~ e(sK95)
| g(sK95)
| p1(f(sK95))
| ~ spl103_25 ),
inference(resolution,[],[f852,f848]) ).
fof(f848,plain,
( ! [X0] :
( ~ s(sK95,X0)
| p1(X0) )
| ~ spl103_25 ),
inference(resolution,[],[f478,f346]) ).
fof(f346,plain,
! [X1] :
( ~ sP1
| ~ s(sK95,X1)
| p1(X1) ),
inference(cnf_transformation,[],[f199]) ).
fof(f852,plain,
( ! [X2] :
( s(X2,f(X2))
| ~ e(X2)
| g(X2) )
| ~ spl103_25 ),
inference(resolution,[],[f478,f350]) ).
fof(f350,plain,
! [X5] :
( ~ sP1
| g(X5)
| s(X5,f(X5))
| ~ e(X5) ),
inference(cnf_transformation,[],[f199]) ).
fof(f847,plain,
~ spl103_29,
inference(avatar_contradiction_clause,[],[f846]) ).
fof(f846,plain,
( $false
| ~ spl103_29 ),
inference(subsumption_resolution,[],[f844,f845]) ).
fof(f845,plain,
( p1(z)
| ~ spl103_29 ),
inference(resolution,[],[f494,f224]) ).
fof(f224,plain,
( ~ sP32
| p1(z) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
( ( ~ p1(z)
& p1(z) )
| ~ sP32 ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
( ( ~ p1(z)
& p1(z) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f494,plain,
( sP32
| ~ spl103_29 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f492,plain,
( spl103_29
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_29])]) ).
fof(f844,plain,
( ~ p1(z)
| ~ spl103_29 ),
inference(resolution,[],[f494,f225]) ).
fof(f225,plain,
( ~ sP32
| ~ p1(z) ),
inference(cnf_transformation,[],[f74]) ).
fof(f843,plain,
( spl103_49
| spl103_50
| ~ spl103_17 ),
inference(avatar_split_clause,[],[f832,f445,f666,f663]) ).
fof(f832,plain,
( ! [X0,X1] :
( ~ q1(X0)
| p1(f(X1)) )
| ~ spl103_17 ),
inference(resolution,[],[f447,f287]) ).
fof(f287,plain,
! [X2,X3] :
( ~ sP13
| p1(f(X3))
| ~ q1(X2) ),
inference(cnf_transformation,[],[f149]) ).
fof(f842,plain,
( ~ spl103_68
| ~ spl103_69
| spl103_52
| ~ spl103_17 ),
inference(avatar_split_clause,[],[f830,f445,f674,f839,f835]) ).
fof(f830,plain,
( ! [X0] :
( ~ p1(X0)
| ~ r1(sK72)
| ~ r1(sK71)
| ~ q1(X0) )
| ~ spl103_17 ),
inference(resolution,[],[f447,f285]) ).
fof(f285,plain,
! [X2] :
( ~ sP13
| ~ p1(X2)
| ~ r1(sK71)
| ~ q1(X2)
| ~ r1(sK72) ),
inference(cnf_transformation,[],[f149]) ).
fof(f833,plain,
( spl103_54
| spl103_52
| ~ spl103_17 ),
inference(avatar_split_clause,[],[f829,f445,f674,f682]) ).
fof(f829,plain,
( ! [X0,X1] :
( ~ p1(X0)
| ~ q1(X0)
| r1(X1) )
| ~ spl103_17 ),
inference(resolution,[],[f447,f286]) ).
fof(f286,plain,
! [X2,X3] :
( ~ sP13
| ~ q1(X2)
| r1(X3)
| ~ p1(X2) ),
inference(cnf_transformation,[],[f149]) ).
fof(f828,plain,
( ~ spl103_66
| ~ spl103_16 ),
inference(avatar_split_clause,[],[f814,f441,f818]) ).
fof(f441,plain,
( spl103_16
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_16])]) ).
fof(f814,plain,
( ~ b0
| ~ spl103_16 ),
inference(resolution,[],[f443,f267]) ).
fof(f267,plain,
( ~ sP18
| ~ b0 ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
( ( ~ b0
& ( ~ b0
| ~ a0 )
& ( b0
| a0 )
& ~ a0 )
| ~ sP18 ),
inference(flattening,[],[f127]) ).
fof(f127,plain,
( ( ~ b0
& ( ~ b0
| ~ a0 )
& ( b0
| a0 )
& ~ a0 )
| ~ sP18 ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
( ( ~ b0
& ( a0
<~> b0 )
& ~ a0 )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f443,plain,
( sP18
| ~ spl103_16 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f827,plain,
( spl103_67
| spl103_66
| ~ spl103_16 ),
inference(avatar_split_clause,[],[f816,f441,f818,f822]) ).
fof(f816,plain,
( b0
| a0
| ~ spl103_16 ),
inference(resolution,[],[f443,f265]) ).
fof(f265,plain,
( ~ sP18
| a0
| b0 ),
inference(cnf_transformation,[],[f128]) ).
fof(f826,plain,
( ~ spl103_67
| ~ spl103_16 ),
inference(avatar_split_clause,[],[f815,f441,f822]) ).
fof(f815,plain,
( ~ a0
| ~ spl103_16 ),
inference(resolution,[],[f443,f264]) ).
fof(f264,plain,
( ~ sP18
| ~ a0 ),
inference(cnf_transformation,[],[f128]) ).
fof(f812,plain,
~ spl103_18,
inference(avatar_contradiction_clause,[],[f811]) ).
fof(f811,plain,
( $false
| ~ spl103_18 ),
inference(resolution,[],[f810,f808]) ).
fof(f808,plain,
( a1(sK60)
| ~ spl103_18 ),
inference(resolution,[],[f451,f246]) ).
fof(f246,plain,
( ~ sP24
| a1(sK60) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( ( a1(sK60)
& ! [X1] : ~ b(X1)
& ! [X2] :
( b(X2)
| ~ a1(X2) ) )
| ~ sP24 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK60])],[f106,f107]) ).
fof(f107,plain,
( ? [X0] : a1(X0)
=> a1(sK60) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
( ( ? [X0] : a1(X0)
& ! [X1] : ~ b(X1)
& ! [X2] :
( b(X2)
| ~ a1(X2) ) )
| ~ sP24 ),
inference(rectify,[],[f105]) ).
fof(f105,plain,
( ( ? [X108] : a1(X108)
& ! [X109] : ~ b(X109)
& ! [X107] :
( b(X107)
| ~ a1(X107) ) )
| ~ sP24 ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
( ( ? [X108] : a1(X108)
& ! [X109] : ~ b(X109)
& ! [X107] :
( b(X107)
| ~ a1(X107) ) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f451,plain,
( sP24
| ~ spl103_18 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f449,plain,
( spl103_18
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_18])]) ).
fof(f810,plain,
( ! [X0] : ~ a1(X0)
| ~ spl103_18 ),
inference(resolution,[],[f809,f807]) ).
fof(f807,plain,
( ! [X0] : ~ b(X0)
| ~ spl103_18 ),
inference(resolution,[],[f451,f245]) ).
fof(f245,plain,
! [X1] :
( ~ sP24
| ~ b(X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f809,plain,
( ! [X1] :
( b(X1)
| ~ a1(X1) )
| ~ spl103_18 ),
inference(resolution,[],[f451,f244]) ).
fof(f244,plain,
! [X2] :
( ~ sP24
| ~ a1(X2)
| b(X2) ),
inference(cnf_transformation,[],[f108]) ).
fof(f806,plain,
( ~ spl103_3
| spl103_65 ),
inference(avatar_contradiction_clause,[],[f805]) ).
fof(f805,plain,
( $false
| ~ spl103_3
| spl103_65 ),
inference(resolution,[],[f802,f391]) ).
fof(f802,plain,
( ~ p1(sK77)
| spl103_65 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f800,plain,
( spl103_65
<=> p1(sK77) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_65])]) ).
fof(f803,plain,
( ~ spl103_64
| ~ spl103_65
| ~ spl103_14 ),
inference(avatar_split_clause,[],[f791,f433,f800,f793]) ).
fof(f433,plain,
( spl103_14
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_14])]) ).
fof(f791,plain,
( ~ p1(sK77)
| ~ p1(sK76)
| ~ spl103_14 ),
inference(resolution,[],[f435,f299]) ).
fof(f299,plain,
( ~ sP10
| ~ p1(sK77)
| ~ p1(sK76) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
( ( ! [X2] :
( ~ q1(X2)
| p1(X2) )
& ! [X3] :
( ( ~ p1(sK76)
& q1(X3) )
| ( ~ p1(sK77)
& p1(X3) ) ) )
| ~ sP10 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK76,sK77])],[f160,f161]) ).
fof(f161,plain,
( ? [X0,X1] :
( ! [X2] :
( ~ q1(X2)
| p1(X2) )
& ! [X3] :
( ( ~ p1(X0)
& q1(X3) )
| ( ~ p1(X1)
& p1(X3) ) ) )
=> ( ! [X2] :
( ~ q1(X2)
| p1(X2) )
& ! [X3] :
( ( ~ p1(sK76)
& q1(X3) )
| ( ~ p1(sK77)
& p1(X3) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f160,plain,
( ? [X0,X1] :
( ! [X2] :
( ~ q1(X2)
| p1(X2) )
& ! [X3] :
( ( ~ p1(X0)
& q1(X3) )
| ( ~ p1(X1)
& p1(X3) ) ) )
| ~ sP10 ),
inference(rectify,[],[f159]) ).
fof(f159,plain,
( ? [X56,X55] :
( ! [X57] :
( ~ q1(X57)
| p1(X57) )
& ! [X58] :
( ( ~ p1(X56)
& q1(X58) )
| ( ~ p1(X55)
& p1(X58) ) ) )
| ~ sP10 ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
( ? [X56,X55] :
( ! [X57] :
( ~ q1(X57)
| p1(X57) )
& ! [X58] :
( ( ~ p1(X56)
& q1(X58) )
| ( ~ p1(X55)
& p1(X58) ) ) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f435,plain,
( sP10
| ~ spl103_14 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f798,plain,
( spl103_3
| ~ spl103_14 ),
inference(avatar_split_clause,[],[f797,f433,f390]) ).
fof(f797,plain,
( ! [X1] : p1(X1)
| ~ spl103_14 ),
inference(subsumption_resolution,[],[f790,f788]) ).
fof(f788,plain,
( ! [X0] :
( p1(X0)
| q1(X0) )
| ~ spl103_14 ),
inference(resolution,[],[f435,f296]) ).
fof(f296,plain,
! [X3] :
( ~ sP10
| q1(X3)
| p1(X3) ),
inference(cnf_transformation,[],[f162]) ).
fof(f790,plain,
( ! [X1] :
( p1(X1)
| ~ q1(X1) )
| ~ spl103_14 ),
inference(resolution,[],[f435,f300]) ).
fof(f300,plain,
! [X2] :
( ~ sP10
| ~ q1(X2)
| p1(X2) ),
inference(cnf_transformation,[],[f162]) ).
fof(f786,plain,
~ spl103_12,
inference(avatar_contradiction_clause,[],[f785]) ).
fof(f785,plain,
( $false
| ~ spl103_12 ),
inference(subsumption_resolution,[],[f784,f779]) ).
fof(f779,plain,
( s1(sK86)
| ~ spl103_12 ),
inference(resolution,[],[f427,f316]) ).
fof(f316,plain,
( ~ sP6
| s1(sK86) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
( ( ! [X3,X4] :
( ~ p1(X3)
| ~ q(X3,X4) )
& ! [X5] :
( ~ s1(X5)
| p1(X5) )
& r(sK86,sK85)
& ! [X6,X7] :
( ~ r(X6,X7)
| q(X6,X7) )
& s1(sK84)
& s1(sK86) )
| ~ sP6 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK84,sK85,sK86])],[f176,f177]) ).
fof(f177,plain,
( ? [X0,X1,X2] :
( ! [X3,X4] :
( ~ p1(X3)
| ~ q(X3,X4) )
& ! [X5] :
( ~ s1(X5)
| p1(X5) )
& r(X2,X1)
& ! [X6,X7] :
( ~ r(X6,X7)
| q(X6,X7) )
& s1(X0)
& s1(X2) )
=> ( ! [X3,X4] :
( ~ p1(X3)
| ~ q(X3,X4) )
& ! [X5] :
( ~ s1(X5)
| p1(X5) )
& r(sK86,sK85)
& ! [X6,X7] :
( ~ r(X6,X7)
| q(X6,X7) )
& s1(sK84)
& s1(sK86) ) ),
introduced(choice_axiom,[]) ).
fof(f176,plain,
( ? [X0,X1,X2] :
( ! [X3,X4] :
( ~ p1(X3)
| ~ q(X3,X4) )
& ! [X5] :
( ~ s1(X5)
| p1(X5) )
& r(X2,X1)
& ! [X6,X7] :
( ~ r(X6,X7)
| q(X6,X7) )
& s1(X0)
& s1(X2) )
| ~ sP6 ),
inference(rectify,[],[f175]) ).
fof(f175,plain,
( ? [X35,X36,X37] :
( ! [X42,X41] :
( ~ p1(X42)
| ~ q(X42,X41) )
& ! [X38] :
( ~ s1(X38)
| p1(X38) )
& r(X37,X36)
& ! [X40,X39] :
( ~ r(X40,X39)
| q(X40,X39) )
& s1(X35)
& s1(X37) )
| ~ sP6 ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
( ? [X35,X36,X37] :
( ! [X42,X41] :
( ~ p1(X42)
| ~ q(X42,X41) )
& ! [X38] :
( ~ s1(X38)
| p1(X38) )
& r(X37,X36)
& ! [X40,X39] :
( ~ r(X40,X39)
| q(X40,X39) )
& s1(X35)
& s1(X37) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f427,plain,
( sP6
| ~ spl103_12 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f425,plain,
( spl103_12
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_12])]) ).
fof(f784,plain,
( ~ s1(sK86)
| ~ spl103_12 ),
inference(resolution,[],[f783,f777]) ).
fof(f777,plain,
( r(sK86,sK85)
| ~ spl103_12 ),
inference(resolution,[],[f427,f319]) ).
fof(f319,plain,
( ~ sP6
| r(sK86,sK85) ),
inference(cnf_transformation,[],[f178]) ).
fof(f783,plain,
( ! [X0,X1] :
( ~ r(X0,X1)
| ~ s1(X0) )
| ~ spl103_12 ),
inference(resolution,[],[f782,f778]) ).
fof(f778,plain,
( ! [X0] :
( p1(X0)
| ~ s1(X0) )
| ~ spl103_12 ),
inference(resolution,[],[f427,f320]) ).
fof(f320,plain,
! [X5] :
( ~ sP6
| p1(X5)
| ~ s1(X5) ),
inference(cnf_transformation,[],[f178]) ).
fof(f782,plain,
( ! [X0,X1] :
( ~ p1(X0)
| ~ r(X0,X1) )
| ~ spl103_12 ),
inference(resolution,[],[f780,f781]) ).
fof(f781,plain,
( ! [X3,X4] :
( ~ q(X3,X4)
| ~ p1(X3) )
| ~ spl103_12 ),
inference(resolution,[],[f427,f321]) ).
fof(f321,plain,
! [X3,X4] :
( ~ sP6
| ~ p1(X3)
| ~ q(X3,X4) ),
inference(cnf_transformation,[],[f178]) ).
fof(f780,plain,
( ! [X2,X1] :
( q(X1,X2)
| ~ r(X1,X2) )
| ~ spl103_12 ),
inference(resolution,[],[f427,f318]) ).
fof(f318,plain,
! [X6,X7] :
( ~ sP6
| ~ r(X6,X7)
| q(X6,X7) ),
inference(cnf_transformation,[],[f178]) ).
fof(f774,plain,
( spl103_3
| ~ spl103_5 ),
inference(avatar_split_clause,[],[f773,f397,f390]) ).
fof(f397,plain,
( spl103_5
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_5])]) ).
fof(f773,plain,
( ! [X1] : p1(X1)
| ~ spl103_5 ),
inference(subsumption_resolution,[],[f759,f755]) ).
fof(f755,plain,
( ! [X0] :
( ~ q1(X0)
| p1(X0) )
| ~ spl103_5 ),
inference(resolution,[],[f399,f301]) ).
fof(f301,plain,
! [X3] :
( ~ sP9
| ~ q1(X3)
| p1(X3) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
( ( ! [X2] :
( ( ~ p1(sK78)
& q1(X2) )
| ( ~ p1(sK79)
& p1(X2) ) )
& ! [X3] :
( ~ q1(X3)
| p1(X3) ) )
| ~ sP9 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK78,sK79])],[f164,f165]) ).
fof(f165,plain,
( ? [X0,X1] :
( ! [X2] :
( ( ~ p1(X0)
& q1(X2) )
| ( ~ p1(X1)
& p1(X2) ) )
& ! [X3] :
( ~ q1(X3)
| p1(X3) ) )
=> ( ! [X2] :
( ( ~ p1(sK78)
& q1(X2) )
| ( ~ p1(sK79)
& p1(X2) ) )
& ! [X3] :
( ~ q1(X3)
| p1(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f164,plain,
( ? [X0,X1] :
( ! [X2] :
( ( ~ p1(X0)
& q1(X2) )
| ( ~ p1(X1)
& p1(X2) ) )
& ! [X3] :
( ~ q1(X3)
| p1(X3) ) )
| ~ sP9 ),
inference(rectify,[],[f163]) ).
fof(f163,plain,
( ? [X65,X64] :
( ! [X67] :
( ( ~ p1(X65)
& q1(X67) )
| ( ~ p1(X64)
& p1(X67) ) )
& ! [X66] :
( ~ q1(X66)
| p1(X66) ) )
| ~ sP9 ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
( ? [X65,X64] :
( ! [X67] :
( ( ~ p1(X65)
& q1(X67) )
| ( ~ p1(X64)
& p1(X67) ) )
& ! [X66] :
( ~ q1(X66)
| p1(X66) ) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f399,plain,
( sP9
| ~ spl103_5 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f759,plain,
( ! [X1] :
( p1(X1)
| q1(X1) )
| ~ spl103_5 ),
inference(resolution,[],[f399,f302]) ).
fof(f302,plain,
! [X2] :
( ~ sP9
| p1(X2)
| q1(X2) ),
inference(cnf_transformation,[],[f166]) ).
fof(f768,plain,
( ~ spl103_61
| ~ spl103_62
| ~ spl103_5 ),
inference(avatar_split_clause,[],[f757,f397,f765,f761]) ).
fof(f757,plain,
( ~ p1(sK78)
| ~ p1(sK79)
| ~ spl103_5 ),
inference(resolution,[],[f399,f305]) ).
fof(f305,plain,
( ~ sP9
| ~ p1(sK79)
| ~ p1(sK78) ),
inference(cnf_transformation,[],[f166]) ).
fof(f754,plain,
~ spl103_23,
inference(avatar_contradiction_clause,[],[f753]) ).
fof(f753,plain,
( $false
| ~ spl103_23 ),
inference(subsumption_resolution,[],[f752,f750]) ).
fof(f750,plain,
( ! [X0] : a1(X0)
| ~ spl103_23 ),
inference(resolution,[],[f470,f241]) ).
fof(f241,plain,
! [X2] :
( ~ sP25
| a1(X2) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
( ( ( b(sK59)
| ~ a1(sK59) )
& ! [X1] : ~ b(X1)
& ! [X2] : a1(X2) )
| ~ sP25 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK59])],[f102,f103]) ).
fof(f103,plain,
( ? [X0] :
( b(X0)
| ~ a1(X0) )
=> ( b(sK59)
| ~ a1(sK59) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
( ( ? [X0] :
( b(X0)
| ~ a1(X0) )
& ! [X1] : ~ b(X1)
& ! [X2] : a1(X2) )
| ~ sP25 ),
inference(rectify,[],[f101]) ).
fof(f101,plain,
( ( ? [X45] :
( b(X45)
| ~ a1(X45) )
& ! [X47] : ~ b(X47)
& ! [X46] : a1(X46) )
| ~ sP25 ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
( ( ? [X45] :
( b(X45)
| ~ a1(X45) )
& ! [X47] : ~ b(X47)
& ! [X46] : a1(X46) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f470,plain,
( sP25
| ~ spl103_23 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f468,plain,
( spl103_23
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_23])]) ).
fof(f752,plain,
( ~ a1(sK59)
| ~ spl103_23 ),
inference(subsumption_resolution,[],[f749,f751]) ).
fof(f751,plain,
( ! [X1] : ~ b(X1)
| ~ spl103_23 ),
inference(resolution,[],[f470,f242]) ).
fof(f242,plain,
! [X1] :
( ~ sP25
| ~ b(X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f749,plain,
( b(sK59)
| ~ a1(sK59)
| ~ spl103_23 ),
inference(resolution,[],[f470,f243]) ).
fof(f243,plain,
( ~ sP25
| b(sK59)
| ~ a1(sK59) ),
inference(cnf_transformation,[],[f104]) ).
fof(f748,plain,
~ spl103_21,
inference(avatar_contradiction_clause,[],[f747]) ).
fof(f747,plain,
( $false
| ~ spl103_21 ),
inference(subsumption_resolution,[],[f746,f743]) ).
fof(f743,plain,
( ! [X0] :
( ~ a(X0,sK42)
| ~ a(X0,X0) )
| ~ spl103_21 ),
inference(resolution,[],[f462,f216]) ).
fof(f216,plain,
! [X1] :
( ~ sP36
| ~ a(X1,X1)
| ~ a(X1,sK42) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ! [X1] :
( ( a(X1,sK42)
| a(X1,X1) )
& ( ~ a(X1,X1)
| ~ a(X1,sK42) ) )
| ~ sP36 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK42])],[f58,f59]) ).
fof(f59,plain,
( ? [X0] :
! [X1] :
( ( a(X1,X0)
| a(X1,X1) )
& ( ~ a(X1,X1)
| ~ a(X1,X0) ) )
=> ! [X1] :
( ( a(X1,sK42)
| a(X1,X1) )
& ( ~ a(X1,X1)
| ~ a(X1,sK42) ) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
( ? [X0] :
! [X1] :
( ( a(X1,X0)
| a(X1,X1) )
& ( ~ a(X1,X1)
| ~ a(X1,X0) ) )
| ~ sP36 ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
( ? [X14] :
! [X15] :
( ( a(X15,X14)
| a(X15,X15) )
& ( ~ a(X15,X15)
| ~ a(X15,X14) ) )
| ~ sP36 ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
( ? [X14] :
! [X15] :
( a(X15,X14)
<=> ~ a(X15,X15) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f462,plain,
( sP36
| ~ spl103_21 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f460,plain,
( spl103_21
<=> sP36 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_21])]) ).
fof(f746,plain,
( a(sK42,sK42)
| ~ spl103_21 ),
inference(factoring,[],[f744]) ).
fof(f744,plain,
( ! [X0] :
( a(X0,sK42)
| a(X0,X0) )
| ~ spl103_21 ),
inference(resolution,[],[f462,f217]) ).
fof(f217,plain,
! [X1] :
( ~ sP36
| a(X1,sK42)
| a(X1,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f742,plain,
~ spl103_8,
inference(avatar_contradiction_clause,[],[f741]) ).
fof(f741,plain,
( $false
| ~ spl103_8 ),
inference(subsumption_resolution,[],[f738,f740]) ).
fof(f740,plain,
( ! [X0] : ~ b(X0)
| ~ spl103_8 ),
inference(resolution,[],[f411,f251]) ).
fof(f251,plain,
! [X1] :
( ~ sP22
| ~ b(X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
( ( b(sK62)
& ! [X1] :
( ~ b(X1)
& ~ a1(X1) ) )
| ~ sP22 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK62])],[f114,f115]) ).
fof(f115,plain,
( ? [X0] : b(X0)
=> b(sK62) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
( ( ? [X0] : b(X0)
& ! [X1] :
( ~ b(X1)
& ~ a1(X1) ) )
| ~ sP22 ),
inference(rectify,[],[f113]) ).
fof(f113,plain,
( ( ? [X43] : b(X43)
& ! [X44] :
( ~ b(X44)
& ~ a1(X44) ) )
| ~ sP22 ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
( ( ? [X43] : b(X43)
& ! [X44] :
( ~ b(X44)
& ~ a1(X44) ) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f411,plain,
( sP22
| ~ spl103_8 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f409,plain,
( spl103_8
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_8])]) ).
fof(f738,plain,
( b(sK62)
| ~ spl103_8 ),
inference(resolution,[],[f411,f252]) ).
fof(f252,plain,
( ~ sP22
| b(sK62) ),
inference(cnf_transformation,[],[f116]) ).
fof(f737,plain,
( spl103_47
| ~ spl103_20 ),
inference(avatar_split_clause,[],[f735,f456,f648]) ).
fof(f735,plain,
( ! [X0,X1] : p(X0,X1)
| ~ spl103_20 ),
inference(resolution,[],[f458,f221]) ).
fof(f221,plain,
! [X0,X1] :
( ~ sP34
| p(X1,X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f734,plain,
( spl103_19
| spl103_54
| ~ spl103_1 ),
inference(avatar_split_clause,[],[f732,f382,f682,f453]) ).
fof(f732,plain,
( ! [X0,X1] :
( r1(X0)
| ~ p1(X1) )
| ~ spl103_1 ),
inference(resolution,[],[f384,f236]) ).
fof(f236,plain,
! [X2,X3] :
( ~ sP27
| r1(X2)
| ~ p1(X3) ),
inference(cnf_transformation,[],[f96]) ).
fof(f730,plain,
~ spl103_4,
inference(avatar_contradiction_clause,[],[f729]) ).
fof(f729,plain,
( $false
| ~ spl103_4 ),
inference(resolution,[],[f728,f726]) ).
fof(f726,plain,
( a1(sK61)
| ~ spl103_4 ),
inference(resolution,[],[f395,f248]) ).
fof(f248,plain,
( ~ sP23
| a1(sK61) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
( ( ! [X0] :
( ~ a1(X0)
| ~ b(X0) )
& a1(sK61)
& ! [X2] : b(X2) )
| ~ sP23 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK61])],[f110,f111]) ).
fof(f111,plain,
( ? [X1] : a1(X1)
=> a1(sK61) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
( ( ! [X0] :
( ~ a1(X0)
| ~ b(X0) )
& ? [X1] : a1(X1)
& ! [X2] : b(X2) )
| ~ sP23 ),
inference(rectify,[],[f109]) ).
fof(f109,plain,
( ( ! [X140] :
( ~ a1(X140)
| ~ b(X140) )
& ? [X139] : a1(X139)
& ! [X138] : b(X138) )
| ~ sP23 ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
( ( ! [X140] :
( ~ a1(X140)
| ~ b(X140) )
& ? [X139] : a1(X139)
& ! [X138] : b(X138) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f395,plain,
( sP23
| ~ spl103_4 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f393,plain,
( spl103_4
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_4])]) ).
fof(f728,plain,
( ! [X1] : ~ a1(X1)
| ~ spl103_4 ),
inference(subsumption_resolution,[],[f727,f725]) ).
fof(f725,plain,
( ! [X0] : b(X0)
| ~ spl103_4 ),
inference(resolution,[],[f395,f247]) ).
fof(f247,plain,
! [X2] :
( ~ sP23
| b(X2) ),
inference(cnf_transformation,[],[f112]) ).
fof(f727,plain,
( ! [X1] :
( ~ b(X1)
| ~ a1(X1) )
| ~ spl103_4 ),
inference(resolution,[],[f395,f249]) ).
fof(f249,plain,
! [X0] :
( ~ sP23
| ~ a1(X0)
| ~ b(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f724,plain,
( spl103_60
| spl103_60
| ~ spl103_10 ),
inference(avatar_split_clause,[],[f710,f417,f722,f722]) ).
fof(f417,plain,
( spl103_10
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_10])]) ).
fof(f710,plain,
( ! [X2,X3,X0,X1] :
( ~ a(X0,X1)
| ~ a(X2,X3) )
| ~ spl103_10 ),
inference(resolution,[],[f419,f223]) ).
fof(f223,plain,
! [X2,X3,X0,X1] :
( ~ sP33
| ~ a(X1,X0)
| ~ a(X3,X2) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
( ( ( ! [X0,X1] : ~ a(X1,X0)
| ! [X2,X3] : ~ a(X3,X2) )
& ( a(sK46,sK45)
| a(sK48,sK47) ) )
| ~ sP33 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK45,sK46,sK47,sK48])],[f70,f72,f71]) ).
fof(f71,plain,
( ? [X4,X5] : a(X5,X4)
=> a(sK46,sK45) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
( ? [X6,X7] : a(X7,X6)
=> a(sK48,sK47) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
( ( ( ! [X0,X1] : ~ a(X1,X0)
| ! [X2,X3] : ~ a(X3,X2) )
& ( ? [X4,X5] : a(X5,X4)
| ? [X6,X7] : a(X7,X6) ) )
| ~ sP33 ),
inference(rectify,[],[f69]) ).
fof(f69,plain,
( ( ( ! [X86,X85] : ~ a(X85,X86)
| ! [X88,X87] : ~ a(X87,X88) )
& ( ? [X86,X85] : a(X85,X86)
| ? [X88,X87] : a(X87,X88) ) )
| ~ sP33 ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
( ( ? [X88,X87] : a(X87,X88)
<~> ? [X86,X85] : a(X85,X86) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f419,plain,
( sP33
| ~ spl103_10 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f720,plain,
( spl103_58
| spl103_59
| ~ spl103_10 ),
inference(avatar_split_clause,[],[f711,f417,f717,f713]) ).
fof(f711,plain,
( a(sK46,sK45)
| a(sK48,sK47)
| ~ spl103_10 ),
inference(resolution,[],[f419,f222]) ).
fof(f222,plain,
( ~ sP33
| a(sK48,sK47)
| a(sK46,sK45) ),
inference(cnf_transformation,[],[f73]) ).
fof(f709,plain,
~ spl103_9,
inference(avatar_contradiction_clause,[],[f708]) ).
fof(f708,plain,
( $false
| ~ spl103_9 ),
inference(subsumption_resolution,[],[f707,f706]) ).
fof(f706,plain,
( ! [X1] : ~ a(X1,X1)
| ~ spl103_9 ),
inference(resolution,[],[f415,f255]) ).
fof(f255,plain,
! [X0] :
( ~ sP21
| ~ a(X0,X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
( ( ! [X0] : ~ a(X0,X0)
& ! [X1] :
( a(sK63(X1),sK63(X1))
& a(X1,sK63(X1)) ) )
| ~ sP21 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK63])],[f118,f119]) ).
fof(f119,plain,
! [X1] :
( ? [X2] :
( a(X2,X2)
& a(X1,X2) )
=> ( a(sK63(X1),sK63(X1))
& a(X1,sK63(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
( ( ! [X0] : ~ a(X0,X0)
& ! [X1] :
? [X2] :
( a(X2,X2)
& a(X1,X2) ) )
| ~ sP21 ),
inference(rectify,[],[f117]) ).
fof(f117,plain,
( ( ! [X4] : ~ a(X4,X4)
& ! [X2] :
? [X3] :
( a(X3,X3)
& a(X2,X3) ) )
| ~ sP21 ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
( ( ! [X4] : ~ a(X4,X4)
& ! [X2] :
? [X3] :
( a(X3,X3)
& a(X2,X3) ) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f415,plain,
( sP21
| ~ spl103_9 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f413,plain,
( spl103_9
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_9])]) ).
fof(f707,plain,
( ! [X0] : a(sK63(X0),sK63(X0))
| ~ spl103_9 ),
inference(resolution,[],[f415,f254]) ).
fof(f254,plain,
! [X1] :
( ~ sP21
| a(sK63(X1),sK63(X1)) ),
inference(cnf_transformation,[],[f120]) ).
fof(f703,plain,
( spl103_57
| spl103_50
| ~ spl103_6 ),
inference(avatar_split_clause,[],[f687,f401,f666,f701]) ).
fof(f687,plain,
( ! [X0,X1] :
( ~ q1(X0)
| r1(X1)
| p1(f(X1)) )
| ~ spl103_6 ),
inference(resolution,[],[f403,f307]) ).
fof(f307,plain,
! [X3,X4] :
( ~ sP8
| p1(f(X4))
| r1(X4)
| ~ q1(X3) ),
inference(cnf_transformation,[],[f170]) ).
fof(f699,plain,
( ~ spl103_55
| ~ spl103_56
| spl103_52
| ~ spl103_6 ),
inference(avatar_split_clause,[],[f688,f401,f674,f695,f691]) ).
fof(f688,plain,
( ! [X0] :
( ~ p1(X0)
| ~ q1(X0)
| ~ r1(sK80)
| ~ r1(sK81) )
| ~ spl103_6 ),
inference(resolution,[],[f403,f308]) ).
fof(f684,plain,
( spl103_52
| spl103_54
| ~ spl103_13 ),
inference(avatar_split_clause,[],[f658,f429,f682,f674]) ).
fof(f658,plain,
( ! [X0,X1] :
( r1(X1)
| ~ p1(X0)
| ~ q1(X0) )
| ~ spl103_13 ),
inference(resolution,[],[f431,f275]) ).
fof(f275,plain,
! [X2,X3] :
( ~ sP16
| ~ p1(X3)
| ~ q1(X3)
| r1(X2) ),
inference(cnf_transformation,[],[f137]) ).
fof(f680,plain,
( ~ spl103_51
| spl103_52
| ~ spl103_53
| ~ spl103_13 ),
inference(avatar_split_clause,[],[f659,f429,f677,f674,f670]) ).
fof(f659,plain,
( ! [X0] :
( ~ r1(sK68)
| ~ q1(X0)
| ~ r1(sK67)
| ~ p1(X0) )
| ~ spl103_13 ),
inference(resolution,[],[f431,f274]) ).
fof(f274,plain,
! [X3] :
( ~ sP16
| ~ p1(X3)
| ~ r1(sK68)
| ~ r1(sK67)
| ~ q1(X3) ),
inference(cnf_transformation,[],[f137]) ).
fof(f668,plain,
( spl103_49
| spl103_50
| ~ spl103_13 ),
inference(avatar_split_clause,[],[f660,f429,f666,f663]) ).
fof(f660,plain,
( ! [X0,X1] :
( ~ q1(X0)
| p1(f(X1)) )
| ~ spl103_13 ),
inference(resolution,[],[f431,f273]) ).
fof(f273,plain,
! [X2,X3] :
( ~ sP16
| ~ q1(X3)
| p1(f(X2)) ),
inference(cnf_transformation,[],[f137]) ).
fof(f657,plain,
( ~ spl103_2
| ~ spl103_47 ),
inference(avatar_contradiction_clause,[],[f656]) ).
fof(f656,plain,
( $false
| ~ spl103_2
| ~ spl103_47 ),
inference(resolution,[],[f649,f638]) ).
fof(f638,plain,
( ~ p(sK96,sK97)
| ~ spl103_2 ),
inference(resolution,[],[f388,f353]) ).
fof(f353,plain,
( ~ sP0
| ~ p(sK96,sK97) ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
( ! [X2,X3] :
( r1(sK97)
& ( ~ s1(sK96)
| p(X2,X3) )
& q1(sK97)
& q1(sK96)
& r1(sK96)
& s1(sK96)
& ( ~ q1(X2)
| p(X2,sK96) )
& ( p(sK97,X3)
| ~ r1(X3) )
& ~ p(sK96,sK97) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK96,sK97])],[f201,f202]) ).
fof(f202,plain,
( ? [X0,X1] :
! [X2,X3] :
( r1(X1)
& ( ~ s1(X0)
| p(X2,X3) )
& q1(X1)
& q1(X0)
& r1(X0)
& s1(X0)
& ( ~ q1(X2)
| p(X2,X0) )
& ( p(X1,X3)
| ~ r1(X3) )
& ~ p(X0,X1) )
=> ! [X3,X2] :
( r1(sK97)
& ( ~ s1(sK96)
| p(X2,X3) )
& q1(sK97)
& q1(sK96)
& r1(sK96)
& s1(sK96)
& ( ~ q1(X2)
| p(X2,sK96) )
& ( p(sK97,X3)
| ~ r1(X3) )
& ~ p(sK96,sK97) ) ),
introduced(choice_axiom,[]) ).
fof(f201,plain,
( ? [X0,X1] :
! [X2,X3] :
( r1(X1)
& ( ~ s1(X0)
| p(X2,X3) )
& q1(X1)
& q1(X0)
& r1(X0)
& s1(X0)
& ( ~ q1(X2)
| p(X2,X0) )
& ( p(X1,X3)
| ~ r1(X3) )
& ~ p(X0,X1) )
| ~ sP0 ),
inference(rectify,[],[f200]) ).
fof(f200,plain,
( ? [X135,X134] :
! [X137,X136] :
( r1(X134)
& ( ~ s1(X135)
| p(X137,X136) )
& q1(X134)
& q1(X135)
& r1(X135)
& s1(X135)
& ( ~ q1(X137)
| p(X137,X135) )
& ( p(X134,X136)
| ~ r1(X136) )
& ~ p(X135,X134) )
| ~ sP0 ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,plain,
( ? [X135,X134] :
! [X137,X136] :
( r1(X134)
& ( ~ s1(X135)
| p(X137,X136) )
& q1(X134)
& q1(X135)
& r1(X135)
& s1(X135)
& ( ~ q1(X137)
| p(X137,X135) )
& ( p(X134,X136)
| ~ r1(X136) )
& ~ p(X135,X134) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f388,plain,
( sP0
| ~ spl103_2 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f386,plain,
( spl103_2
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl103_2])]) ).
fof(f655,plain,
( spl103_48
| ~ spl103_2 ),
inference(avatar_split_clause,[],[f641,f386,f651]) ).
fof(f651,plain,
( spl103_48
<=> s1(sK96) ),
introduced(avatar_definition,[new_symbols(naming,[spl103_48])]) ).
fof(f641,plain,
( s1(sK96)
| ~ spl103_2 ),
inference(resolution,[],[f388,f356]) ).
fof(f356,plain,
( ~ sP0
| s1(sK96) ),
inference(cnf_transformation,[],[f203]) ).
fof(f654,plain,
( spl103_47
| ~ spl103_48
| ~ spl103_2 ),
inference(avatar_split_clause,[],[f645,f386,f651,f648]) ).
fof(f645,plain,
( ! [X0,X1] :
( ~ s1(sK96)
| p(X1,X0) )
| ~ spl103_2 ),
inference(resolution,[],[f388,f360]) ).
fof(f360,plain,
! [X2,X3] :
( ~ sP0
| p(X2,X3)
| ~ s1(sK96) ),
inference(cnf_transformation,[],[f203]) ).
fof(f637,plain,
( spl103_10
| spl103_12
| spl103_23
| spl103_4
| spl103_30
| spl103_20
| spl103_6
| spl103_5
| spl103_14
| spl103_1
| spl103_9
| spl103_24
| spl103_3
| spl103_3
| spl103_34
| spl103_44
| spl103_45
| spl103_8
| spl103_16
| spl103_18
| spl103_27
| spl103_17
| spl103_26
| spl103_21
| spl103_22
| spl103_11
| spl103_7
| spl103_28
| spl103_13
| spl103_31
| spl103_25
| spl103_2
| spl103_15
| spl103_46
| spl103_29 ),
inference(avatar_split_clause,[],[f624,f492,f634,f437,f386,f476,f500,f429,f488,f405,f421,f464,f460,f480,f445,f484,f449,f441,f409,f630,f626,f536,f390,f390,f472,f413,f382,f433,f397,f401,f456,f496,f393,f468,f425,f417]) ).
fof(f624,plain,
! [X2,X7] :
( sP32
| sP37
| sP20
| sP0
| sP1
| sP4
| sP16
| sP15
| sP19
| sP2
| sP31
| sP36
| sP5
| sP13
| sP7
| sP24
| sP18
| sP22
| sP30
| sP35
| p1(sK98)
| p1(X7)
| p1(X2)
| sP3
| sP21
| sP27
| sP10
| sP9
| sP8
| sP34
| sP11
| sP23
| sP25
| sP6
| sP33 ),
inference(subsumption_resolution,[],[f623,f234]) ).
fof(f234,plain,
! [X0] :
( ~ sP28
| p1(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f623,plain,
! [X2,X7] :
( sP13
| sP25
| sP31
| sP11
| sP22
| sP36
| sP19
| p1(sK98)
| p1(X2)
| sP4
| sP6
| sP27
| p1(X7)
| sP16
| sP10
| sP0
| sP24
| sP2
| sP37
| sP8
| sP28
| sP15
| sP21
| sP34
| sP20
| sP33
| sP30
| sP18
| sP5
| sP35
| sP1
| sP23
| sP7
| sP32
| sP9
| sP3 ),
inference(subsumption_resolution,[],[f622,f271]) ).
fof(f271,plain,
! [X0] :
( ~ sP17
| p1(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f622,plain,
! [X2,X7] :
( sP17
| sP9
| p1(X2)
| sP30
| sP8
| sP31
| sP27
| sP21
| sP5
| sP4
| sP18
| sP6
| sP10
| p1(sK98)
| sP22
| sP19
| sP32
| sP13
| sP28
| sP20
| sP34
| sP1
| sP25
| sP3
| sP23
| sP7
| sP37
| sP15
| sP33
| sP36
| sP16
| sP24
| sP0
| p1(X7)
| sP35
| sP11
| sP2 ),
inference(subsumption_resolution,[],[f621,f238]) ).
fof(f238,plain,
! [X1] :
( ~ sP26
| p1(X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f621,plain,
! [X2,X7] :
( sP24
| sP10
| sP27
| sP8
| p1(X7)
| sP36
| sP6
| sP13
| sP26
| p1(X2)
| sP11
| sP22
| sP31
| sP1
| sP34
| sP7
| sP28
| sP2
| p1(sK98)
| sP3
| sP32
| sP21
| sP0
| sP15
| sP5
| sP9
| sP18
| sP4
| sP16
| sP37
| sP17
| sP20
| sP30
| sP35
| sP23
| sP33
| sP25
| sP19 ),
inference(subsumption_resolution,[],[f620,f280]) ).
fof(f280,plain,
! [X2] :
( ~ sP14
| p1(X2) ),
inference(cnf_transformation,[],[f145]) ).
fof(f620,plain,
! [X2,X7] :
( sP22
| p1(X2)
| p1(sK98)
| sP6
| sP16
| sP32
| sP1
| sP10
| sP33
| sP4
| sP31
| sP34
| sP14
| sP3
| sP7
| sP8
| sP35
| sP19
| p1(X7)
| sP37
| sP13
| sP15
| sP25
| sP27
| sP24
| sP26
| sP5
| sP9
| sP30
| sP17
| sP11
| sP2
| sP18
| sP28
| sP20
| sP36
| sP21
| sP0
| sP23 ),
inference(subsumption_resolution,[],[f619,f213]) ).
fof(f213,plain,
! [X0] :
( ~ sP38
| p1(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( ! [X0] : p1(X0)
& ! [X1] : ~ p1(X1) )
| ~ sP38 ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
( ( ! [X0] : p1(X0)
& ! [X1] : ~ p1(X1) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f619,plain,
! [X2,X7] :
( sP38
| sP27
| p1(sK98)
| p1(X2)
| sP20
| sP22
| sP19
| sP13
| sP5
| sP21
| sP28
| sP15
| sP33
| p1(X7)
| sP10
| sP16
| sP30
| sP37
| sP2
| sP14
| sP35
| sP4
| sP0
| sP18
| sP25
| sP26
| sP7
| sP8
| sP34
| sP31
| sP36
| sP17
| sP1
| sP32
| sP6
| sP24
| sP3
| sP11
| sP23
| sP9 ),
inference(subsumption_resolution,[],[f618,f291]) ).
fof(f291,plain,
! [X0] :
( ~ sP12
| p1(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f618,plain,
! [X2,X7] :
( p1(sK98)
| sP13
| sP12
| sP15
| sP24
| sP18
| sP14
| sP17
| sP25
| sP27
| sP32
| sP31
| sP0
| sP2
| sP9
| sP7
| sP26
| sP4
| sP19
| sP10
| sP21
| sP36
| sP30
| sP28
| sP8
| sP38
| sP22
| sP23
| sP6
| sP5
| sP11
| p1(X2)
| p1(X7)
| sP33
| sP20
| sP1
| sP3
| sP34
| sP16
| sP37
| sP35 ),
inference(subsumption_resolution,[],[f617,f231]) ).
fof(f231,plain,
! [X2] :
( ~ sP29
| p1(X2) ),
inference(cnf_transformation,[],[f88]) ).
fof(f617,plain,
! [X2,X7] :
( sP31
| sP27
| sP7
| sP20
| sP29
| sP6
| sP15
| sP16
| sP28
| sP32
| sP4
| sP9
| sP23
| p1(X7)
| sP13
| sP37
| sP36
| sP10
| sP38
| sP25
| sP8
| sP24
| sP5
| sP30
| sP14
| sP11
| sP33
| sP18
| sP3
| sP0
| p1(X2)
| sP26
| sP17
| sP21
| sP2
| sP19
| sP34
| sP12
| sP22
| sP1
| sP35
| p1(sK98) ),
inference(subsumption_resolution,[],[f364,f210]) ).
fof(f210,plain,
! [X0] :
( ~ sP39
| p1(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f364,plain,
! [X2,X7] :
( sP18
| sP24
| sP23
| sP39
| sP27
| sP32
| sP0
| sP25
| sP7
| sP13
| sP35
| sP30
| sP17
| sP3
| sP1
| sP36
| sP5
| sP8
| sP26
| p1(X2)
| sP21
| sP14
| sP22
| sP16
| sP19
| sP9
| sP6
| sP29
| p1(sK98)
| sP12
| sP34
| sP11
| sP10
| sP15
| sP33
| sP28
| sP2
| sP37
| sP20
| sP38
| sP4
| sP31
| p1(X7) ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
( sP6
| sP28
| sP20
| ( ! [X0] : ~ p1(X0)
& p1(sK98) )
| sP5
| sP19
| sP10
| sP0
| sP18
| sP27
| sP17
| sP16
| ( ! [X2] : p1(X2)
& ( ~ p1(sK100)
| ~ p1(sK99) ) )
| ( ( ~ p1(sK101)
| ~ p1(sK102) )
& ! [X7] : p1(X7) )
| sP39
| sP38
| sP15
| sP37
| sP36
| sP14
| sP4
| sP26
| sP3
| sP9
| sP35
| sP25
| sP13
| sP34
| sP33
| sP2
| sP32
| sP1
| sP24
| sP31
| sP12
| sP30
| sP29
| sP8
| sP23
| sP11
| sP22
| sP21
| sP7 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK98,sK99,sK100,sK101,sK102])],[f204,f208,f207,f206,f205]) ).
fof(f205,plain,
( ? [X1] : p1(X1)
=> p1(sK98) ),
introduced(choice_axiom,[]) ).
fof(f206,plain,
( ? [X3,X4] :
( ~ p1(X4)
| ~ p1(X3) )
=> ( ~ p1(sK100)
| ~ p1(sK99) ) ),
introduced(choice_axiom,[]) ).
fof(f207,plain,
( ? [X5] : ~ p1(X5)
=> ~ p1(sK101) ),
introduced(choice_axiom,[]) ).
fof(f208,plain,
( ? [X6] : ~ p1(X6)
=> ~ p1(sK102) ),
introduced(choice_axiom,[]) ).
fof(f204,plain,
( sP6
| sP28
| sP20
| ( ! [X0] : ~ p1(X0)
& ? [X1] : p1(X1) )
| sP5
| sP19
| sP10
| sP0
| sP18
| sP27
| sP17
| sP16
| ( ! [X2] : p1(X2)
& ? [X3,X4] :
( ~ p1(X4)
| ~ p1(X3) ) )
| ( ( ? [X5] : ~ p1(X5)
| ? [X6] : ~ p1(X6) )
& ! [X7] : p1(X7) )
| sP39
| sP38
| sP15
| sP37
| sP36
| sP14
| sP4
| sP26
| sP3
| sP9
| sP35
| sP25
| sP13
| sP34
| sP33
| sP2
| sP32
| sP1
| sP24
| sP31
| sP12
| sP30
| sP29
| sP8
| sP23
| sP11
| sP22
| sP21
| sP7 ),
inference(rectify,[],[f47]) ).
fof(f47,plain,
( sP6
| sP28
| sP20
| ( ! [X60] : ~ p1(X60)
& ? [X59] : p1(X59) )
| sP5
| sP19
| sP10
| sP0
| sP18
| sP27
| sP17
| sP16
| ( ! [X52] : p1(X52)
& ? [X54,X53] :
( ~ p1(X53)
| ~ p1(X54) ) )
| ( ( ? [X76] : ~ p1(X76)
| ? [X75] : ~ p1(X75) )
& ! [X74] : p1(X74) )
| sP39
| sP38
| sP15
| sP37
| sP36
| sP14
| sP4
| sP26
| sP3
| sP9
| sP35
| sP25
| sP13
| sP34
| sP33
| sP2
| sP32
| sP1
| sP24
| sP31
| sP12
| sP30
| sP29
| sP8
| sP23
| sP11
| sP22
| sP21
| sP7 ),
inference(definition_folding,[],[f6,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7]) ).
fof(f6,plain,
( ? [X35,X36,X37] :
( ! [X42,X41] :
( ~ p1(X42)
| ~ q(X42,X41) )
& ! [X38] :
( ~ s1(X38)
| p1(X38) )
& r(X37,X36)
& ! [X40,X39] :
( ~ r(X40,X39)
| q(X40,X39) )
& s1(X35)
& s1(X37) )
| ( ! [X31] : p1(X31)
& ! [X30] :
( ~ p1(X30)
| q1(X30) )
& ? [X32] : ~ q1(X32) )
| ? [X16] :
( ! [X17] :
( q1(X17)
| ~ p1(X17) )
& ~ q1(X16)
& ! [X18] :
( ~ r1(X18)
| p1(X18) )
& r1(X16) )
| ( ! [X60] : ~ p1(X60)
& ? [X59] : p1(X59) )
| ! [X70] :
? [X71] :
! [X72] :
( ( ~ p(X72,X71)
& p(X72,X70)
& p(X70,X72) )
| ( p(X72,X71)
& ! [X73] : ~ p(X73,X72) ) )
| ( b0
& a0
& ( a0
<~> b0 ) )
| ? [X56,X55] :
( ! [X57] :
( ~ q1(X57)
| p1(X57) )
& ! [X58] :
( ( ~ p1(X56)
& q1(X58) )
| ( ~ p1(X55)
& p1(X58) ) ) )
| ? [X135,X134] :
! [X137,X136] :
( r1(X134)
& ( ~ s1(X135)
| p(X137,X136) )
& q1(X134)
& q1(X135)
& r1(X135)
& s1(X135)
& ( ~ q1(X137)
| p(X137,X135) )
& ( p(X134,X136)
| ~ r1(X136) )
& ~ p(X135,X134) )
| ( ~ b0
& ( a0
<~> b0 )
& ~ a0 )
| ? [X123,X124] :
! [X126,X125] :
( p1(X124)
& ( ~ p1(X125)
| r1(X126) )
& ~ r1(X123) )
| ( ! [X110] : p1(X110)
& ? [X111] : q1(X111)
& ! [X112] :
? [X113] :
( ~ p1(X113)
& ~ r1(X112) ) )
| ? [X89,X90] :
( ! [X93,X92] :
( ( ( ~ p1(X92)
| ( r1(X93)
& ( ~ r1(X90)
| ~ r1(X89) ) ) )
& p1(f(X93)) )
| ~ q1(X92) )
& ! [X91] : q1(f(X91)) )
| ( ! [X52] : p1(X52)
& ? [X54,X53] :
( ~ p1(X53)
| ~ p1(X54) ) )
| ( ( ? [X76] : ~ p1(X76)
| ? [X75] : ~ p1(X75) )
& ! [X74] : p1(X74) )
| ! [X127] :
? [X128] :
( ~ p1(X128)
& p1(X127) )
| ( ! [X0] : p1(X0)
& ! [X1] : ~ p1(X1) )
| ( ! [X63] :
( ~ a1(X63)
| ~ c(X63) )
& ! [X61] :
( c(X61)
| ~ a1(X61)
| b(X61) )
& ? [X62] :
( a1(X62)
& ~ b(X62) ) )
| ( ! [X69] : ~ p1(X69)
& ? [X68] : p1(X68) )
| ? [X14] :
! [X15] :
( a(X15,X14)
<=> ~ a(X15,X15) )
| ( ! [X27] :
( q1(X27)
| ~ p1(X27) )
& ? [X28] :
( ~ q1(X28)
| r1(X28) )
& ! [X29] :
( ~ r1(X29)
& p1(X29) ) )
| ( ? [X9,X8] :
( eq(X9,X8)
& ~ eq(X8,X9) )
& ! [X6,X5] :
( eq(X5,X6)
<=> ! [X7] :
( a_member_of(X7,X6)
<=> a_member_of(X7,X5) ) ) )
| ? [X105] :
( ~ q1(X105)
& ! [X106] :
( q1(X106)
& p1(X106) ) )
| ( ? [X114] : p1(X114)
& ( ( a0
& ( ( b0
& ~ b0 )
| ( ~ q0
& q0 ) ) )
| ! [X115] : ~ p1(X115) ) )
| ? [X65,X64] :
( ! [X67] :
( ( ~ p1(X65)
& q1(X67) )
| ( ~ p1(X64)
& p1(X67) ) )
& ! [X66] :
( ~ q1(X66)
| p1(X66) ) )
| ! [X33] :
( ~ p1(X33)
& ? [X34] : p1(X34) )
| ( ? [X45] :
( b(X45)
| ~ a1(X45) )
& ! [X47] : ~ b(X47)
& ! [X46] : a1(X46) )
| ? [X49,X48] :
( ! [X50,X51] :
( ( p1(f(X51))
& ( ~ p1(X50)
| ( r1(X51)
& ( ~ r1(X48)
| ~ r1(X49) ) ) ) )
| ~ q1(X50) )
& q1(f(X49)) )
| ( ! [X101,X100] : p(X100,X101)
& ? [X102] : ~ p(X102,X102) )
| ( ? [X88,X87] : a(X87,X88)
<~> ? [X86,X85] : a(X85,X86) )
| ? [X21,X20,X19] :
( ! [X22] :
( ~ s1(X22)
| p1(X22) )
& r(X21,X19)
& ! [X26,X25] :
( ~ q(X25,X26)
| ~ p1(X25) )
& ! [X24,X23] :
( q(X24,X23)
| ~ r(X24,X23) )
& s1(X20)
& s1(X21) )
| ( ~ p1(z)
& p1(z) )
| ? [X94] :
! [X98,X95,X97,X96,X99] :
( ( ~ p1(X97)
| ~ g(X97) )
& ( g(X95)
| ~ e(X95)
| c(f(X95)) )
& ( s(X99,f(X99))
| ~ e(X99)
| g(X99) )
& e(X94)
& p1(X94)
& ( ~ p1(X96)
| ~ c(X96) )
& ( ~ s(X94,X98)
| p1(X98) ) )
| ( ? [X108] : a1(X108)
& ! [X109] : ~ b(X109)
& ! [X107] :
( b(X107)
| ~ a1(X107) ) )
| ( ? [X10] :
! [X11] : p(X10,X11)
& ? [X12] :
! [X13] : ~ p(X13,X12) )
| ( ! [X119] :
? [X120] :
( p1(X119)
& q1(X120) )
& ! [X121] :
? [X122] :
( ~ p1(X122)
& ~ r1(X121) ) )
| ( ? [X103] : p1(X103)
<~> ? [X104] : p1(X104) )
| ? [X117,X116] :
( ! [X118] : p1(X118)
& ( ~ p1(X117)
| ~ p1(X116) ) )
| ? [X130,X129] :
( ! [X131] : q1(f(X131))
& ! [X132,X133] :
( ( ~ p1(X132)
& p1(f(X133)) )
| ~ q1(X132)
| ( r1(X133)
& ( ~ r1(X130)
| ~ r1(X129) ) ) ) )
| ( ! [X140] :
( ~ a1(X140)
| ~ b(X140) )
& ? [X139] : a1(X139)
& ! [X138] : b(X138) )
| ? [X77] :
( ! [X78] :
( ( r1(X77)
& ~ r1(X78) )
| p(f(X78),X78) )
& ! [X80,X79] :
( ( q(f(X77),X77)
& ~ q(X79,X80) )
| ~ p(X79,X80) ) )
| ( ? [X43] : b(X43)
& ! [X44] :
( ~ b(X44)
& ~ a1(X44) ) )
| ( ! [X4] : ~ a(X4,X4)
& ! [X2] :
? [X3] :
( a(X3,X3)
& a(X2,X3) ) )
| ? [X81,X82] :
( ! [X84] :
( ( p1(X84)
& ~ p1(X82) )
| ( ~ p1(X81)
& q1(X84) ) )
& ! [X83] :
( p1(X83)
| ~ q1(X83) ) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
( ! [X127] :
? [X128] :
( ~ p1(X128)
& p1(X127) )
| ( ! [X101,X100] : p(X100,X101)
& ? [X102] : ~ p(X102,X102) )
| ( ? [X43] : b(X43)
& ! [X44] :
( ~ b(X44)
& ~ a1(X44) ) )
| ! [X70] :
? [X71] :
! [X72] :
( ( p(X72,X71)
& ! [X73] : ~ p(X73,X72) )
| ( ~ p(X72,X71)
& p(X70,X72)
& p(X72,X70) ) )
| ( ! [X4] : ~ a(X4,X4)
& ! [X2] :
? [X3] :
( a(X3,X3)
& a(X2,X3) ) )
| ? [X89,X90] :
( ! [X93,X92] :
( ( ( ~ p1(X92)
| ( r1(X93)
& ( ~ r1(X90)
| ~ r1(X89) ) ) )
& p1(f(X93)) )
| ~ q1(X92) )
& ! [X91] : q1(f(X91)) )
| ( ? [X103] : p1(X103)
<~> ? [X104] : p1(X104) )
| ? [X81,X82] :
( ! [X84] :
( ( p1(X84)
& ~ p1(X82) )
| ( ~ p1(X81)
& q1(X84) ) )
& ! [X83] :
( p1(X83)
| ~ q1(X83) ) )
| ? [X134,X135] :
! [X136,X137] :
( ~ p(X135,X134)
& r1(X134)
& q1(X135)
& q1(X134)
& s1(X135)
& ( ~ q1(X137)
| p(X137,X135) )
& r1(X135)
& ( ~ s1(X135)
| p(X137,X136) )
& ( p(X134,X136)
| ~ r1(X136) ) )
| ? [X130,X129] :
( ! [X131] : q1(f(X131))
& ! [X132,X133] :
( ( ~ p1(X132)
& p1(f(X133)) )
| ~ q1(X132)
| ( r1(X133)
& ( ~ r1(X130)
| ~ r1(X129) ) ) ) )
| ( ( a0
<~> b0 )
& a0
& b0 )
| ( ! [X119] :
? [X120] :
( p1(X119)
& q1(X120) )
& ! [X121] :
? [X122] :
( ~ p1(X122)
& ~ r1(X121) ) )
| ( ! [X63] :
( ~ a1(X63)
| ~ c(X63) )
& ? [X62] :
( a1(X62)
& ~ b(X62) )
& ! [X61] :
( b(X61)
| c(X61)
| ~ a1(X61) ) )
| ? [X105] :
( ~ q1(X105)
& ! [X106] :
( q1(X106)
& p1(X106) ) )
| ( ~ p1(z)
& p1(z) )
| ? [X65,X64] :
( ! [X67] :
( ( ~ p1(X65)
& q1(X67) )
| ( ~ p1(X64)
& p1(X67) ) )
& ! [X66] :
( ~ q1(X66)
| p1(X66) ) )
| ? [X19,X21,X20] :
( ! [X26,X25] :
( ~ q(X25,X26)
| ~ p1(X25) )
& s1(X21)
& s1(X20)
& ! [X22] :
( ~ s1(X22)
| p1(X22) )
& ! [X24,X23] :
( q(X24,X23)
| ~ r(X24,X23) )
& r(X21,X19) )
| ( ! [X112] :
? [X113] :
( ~ p1(X113)
& ~ r1(X112) )
& ? [X111] : q1(X111)
& ! [X110] : p1(X110) )
| ( ! [X0] : p1(X0)
& ! [X1] : ~ p1(X1) )
| ? [X56,X55] :
( ! [X57] :
( ~ q1(X57)
| p1(X57) )
& ! [X58] :
( ( ~ p1(X56)
& q1(X58) )
| ( ~ p1(X55)
& p1(X58) ) ) )
| ( ! [X109] : ~ b(X109)
& ? [X108] : a1(X108)
& ! [X107] :
( b(X107)
| ~ a1(X107) ) )
| ? [X94] :
! [X98,X95,X97,X96,X99] :
( ( ~ p1(X96)
| ~ c(X96) )
& ( ~ p1(X97)
| ~ g(X97) )
& ( c(f(X95))
| g(X95)
| ~ e(X95) )
& e(X94)
& ( ~ s(X94,X98)
| p1(X98) )
& ( s(X99,f(X99))
| g(X99)
| ~ e(X99) )
& p1(X94) )
| ? [X14] :
! [X15] :
( a(X15,X14)
<=> ~ a(X15,X15) )
| ( ~ b0
& ( a0
<~> b0 )
& ~ a0 )
| ? [X124,X123] :
! [X125,X126] :
( ~ r1(X123)
& p1(X124)
& ( ~ p1(X125)
| r1(X126) ) )
| ( ? [X10] :
! [X11] : p(X10,X11)
& ? [X12] :
! [X13] : ~ p(X13,X12) )
| ? [X49,X48] :
( ! [X50,X51] :
( ( p1(f(X51))
& ( ~ p1(X50)
| ( r1(X51)
& ( ~ r1(X48)
| ~ r1(X49) ) ) ) )
| ~ q1(X50) )
& q1(f(X49)) )
| ( ? [X32] : ~ q1(X32)
& ! [X31] : p1(X31)
& ! [X30] :
( ~ p1(X30)
| q1(X30) ) )
| ? [X16] :
( ~ q1(X16)
& ! [X18] :
( ~ r1(X18)
| p1(X18) )
& r1(X16)
& ! [X17] :
( q1(X17)
| ~ p1(X17) ) )
| ( ! [X69] : ~ p1(X69)
& ? [X68] : p1(X68) )
| ( ! [X140] :
( ~ a1(X140)
| ~ b(X140) )
& ? [X139] : a1(X139)
& ! [X138] : b(X138) )
| ( ! [X60] : ~ p1(X60)
& ? [X59] : p1(X59) )
| ( ! [X47] : ~ b(X47)
& ! [X46] : a1(X46)
& ? [X45] :
( b(X45)
| ~ a1(X45) ) )
| ? [X36,X37,X35] :
( ! [X42,X41] :
( ~ p1(X42)
| ~ q(X42,X41) )
& ! [X38] :
( ~ s1(X38)
| p1(X38) )
& ! [X40,X39] :
( ~ r(X40,X39)
| q(X40,X39) )
& s1(X37)
& s1(X35)
& r(X37,X36) )
| ? [X117,X116] :
( ! [X118] : p1(X118)
& ( ~ p1(X117)
| ~ p1(X116) ) )
| ( ( ? [X76] : ~ p1(X76)
| ? [X75] : ~ p1(X75) )
& ! [X74] : p1(X74) )
| ( ? [X88,X87] : a(X87,X88)
<~> ? [X86,X85] : a(X85,X86) )
| ( ! [X52] : p1(X52)
& ? [X54,X53] :
( ~ p1(X53)
| ~ p1(X54) ) )
| ! [X33] :
( ~ p1(X33)
& ? [X34] : p1(X34) )
| ( ? [X9,X8] :
( eq(X9,X8)
& ~ eq(X8,X9) )
& ! [X6,X5] :
( eq(X5,X6)
<=> ! [X7] :
( a_member_of(X7,X6)
<=> a_member_of(X7,X5) ) ) )
| ( ? [X114] : p1(X114)
& ( ( a0
& ( ( b0
& ~ b0 )
| ( ~ q0
& q0 ) ) )
| ! [X115] : ~ p1(X115) ) )
| ? [X77] :
( ! [X78] :
( ( r1(X77)
& ~ r1(X78) )
| p(f(X78),X78) )
& ! [X80,X79] :
( ( q(f(X77),X77)
& ~ q(X79,X80) )
| ~ p(X79,X80) ) )
| ( ! [X29] :
( ~ r1(X29)
& p1(X29) )
& ? [X28] :
( ~ q1(X28)
| r1(X28) )
& ! [X27] :
( q1(X27)
| ~ p1(X27) ) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,plain,
~ ( ? [X127] :
! [X128] :
( p1(X127)
=> p1(X128) )
& ( ! [X101,X100] : p(X100,X101)
=> ! [X102] : p(X102,X102) )
& ( ? [X43] : b(X43)
=> ? [X44] :
( b(X44)
| a1(X44) ) )
& ? [X70] :
! [X71] :
? [X72] :
( ( p(X72,X71)
=> ? [X73] : p(X73,X72) )
& ( ( p(X70,X72)
& p(X72,X70) )
=> p(X72,X71) ) )
& ( ! [X2] :
? [X3] :
( a(X3,X3)
& a(X2,X3) )
=> ? [X4] : a(X4,X4) )
& ! [X89,X90] :
( ! [X91] : q1(f(X91))
=> ? [X92,X93] :
( q1(X92)
& ( p1(f(X93))
=> ( ( r1(X93)
=> ( r1(X90)
& r1(X89) ) )
& p1(X92) ) ) ) )
& ( ? [X104] : p1(X104)
<=> ? [X103] : p1(X103) )
& ! [X81,X82] :
( ! [X83] :
( q1(X83)
=> p1(X83) )
=> ? [X84] :
( ( p1(X84)
=> p1(X82) )
& ( q1(X84)
=> p1(X81) ) ) )
& ! [X134,X135] :
? [X136,X137] :
( ( r1(X134)
& q1(X135)
& q1(X134)
& s1(X135)
& ( q1(X137)
=> p(X137,X135) )
& r1(X135)
& ( s1(X135)
=> p(X137,X136) )
& ( r1(X136)
=> p(X134,X136) ) )
=> p(X135,X134) )
& ! [X130,X129] :
( ! [X131] : q1(f(X131))
=> ? [X133,X132] :
( q1(X132)
& ( p1(f(X133))
=> p1(X132) )
& ( r1(X133)
=> ( r1(X129)
& r1(X130) ) ) ) )
& ( ( a0
& b0 )
=> ( b0
<=> a0 ) )
& ( ! [X119] :
? [X120] :
( p1(X119)
& q1(X120) )
=> ? [X121] :
! [X122] :
( p1(X122)
| r1(X121) ) )
& ( ( ~ ! [X62] :
( a1(X62)
=> b(X62) )
& ! [X61] :
( a1(X61)
=> ( b(X61)
| c(X61) ) ) )
=> ? [X63] :
( c(X63)
& a1(X63) ) )
& ! [X105] :
( ! [X106] :
( q1(X106)
& p1(X106) )
=> q1(X105) )
& ( p1(z)
=> p1(z) )
& ! [X64,X65] :
( ! [X66] :
( q1(X66)
=> p1(X66) )
=> ? [X67] :
( ( p1(X67)
=> p1(X64) )
& ( q1(X67)
=> p1(X65) ) ) )
& ! [X19,X21,X20] :
( ( s1(X21)
& s1(X20)
& ! [X22] :
( s1(X22)
=> p1(X22) )
& ! [X24,X23] :
( r(X24,X23)
=> q(X24,X23) )
& r(X21,X19) )
=> ? [X25,X26] :
( p1(X25)
& q(X25,X26) ) )
& ( ( ? [X111] : q1(X111)
& ! [X110] : p1(X110) )
=> ? [X112] :
! [X113] :
( p1(X113)
| r1(X112) ) )
& ( ! [X0] : p1(X0)
=> ? [X1] : p1(X1) )
& ! [X56,X55] :
( ! [X57] :
( q1(X57)
=> p1(X57) )
=> ? [X58] :
( ( q1(X58)
=> p1(X56) )
& ( p1(X58)
=> p1(X55) ) ) )
& ( ! [X107] :
( a1(X107)
=> b(X107) )
=> ( ? [X108] : a1(X108)
=> ? [X109] : b(X109) ) )
& ! [X94] :
? [X98,X95,X97,X96,X99] :
( ( ( e(X95)
=> ( c(f(X95))
| g(X95) ) )
& e(X94)
& ( s(X94,X98)
=> p1(X98) )
& ( e(X99)
=> ( s(X99,f(X99))
| g(X99) ) )
& p1(X94) )
=> ( ( c(X96)
& p1(X96) )
| ( g(X97)
& p1(X97) ) ) )
& ~ ? [X14] :
! [X15] :
( a(X15,X14)
<=> ~ a(X15,X15) )
& ( b0
| a0
| ( b0
<=> a0 ) )
& ! [X124,X123] :
? [X125,X126] :
( ( p1(X125)
=> r1(X126) )
=> ( p1(X124)
=> r1(X123) ) )
& ( ? [X10] :
! [X11] : p(X10,X11)
=> ! [X12] :
? [X13] : p(X13,X12) )
& ! [X48,X49] :
( q1(f(X49))
=> ? [X50,X51] :
( q1(X50)
& ( p1(f(X51))
=> ( p1(X50)
& ( r1(X51)
=> ( r1(X49)
& r1(X48) ) ) ) ) ) )
& ( ! [X30] :
( p1(X30)
=> q1(X30) )
=> ( ! [X31] : p1(X31)
=> ! [X32] : q1(X32) ) )
& ! [X16] :
( ( r1(X16)
& ! [X17] :
( p1(X17)
=> q1(X17) ) )
=> ( ! [X18] :
( r1(X18)
=> p1(X18) )
=> q1(X16) ) )
& ( ? [X68] : p1(X68)
=> ? [X69] : p1(X69) )
& ( ( ? [X139] : a1(X139)
& ! [X138] : b(X138) )
=> ? [X140] :
( a1(X140)
& b(X140) ) )
& ( ? [X59] : p1(X59)
=> ? [X60] : p1(X60) )
& ( ? [X45] :
( a1(X45)
=> b(X45) )
=> ( ! [X46] : a1(X46)
=> ? [X47] : b(X47) ) )
& ! [X36,X37,X35] :
( ( ! [X38] :
( s1(X38)
=> p1(X38) )
& ! [X39,X40] :
( r(X40,X39)
=> q(X40,X39) )
& s1(X37)
& s1(X35)
& r(X37,X36) )
=> ? [X42,X41] :
( q(X42,X41)
& p1(X42) ) )
& ! [X116,X117] :
( ! [X118] : p1(X118)
=> ( p1(X116)
& p1(X117) ) )
& ( ! [X74] : p1(X74)
=> ( ! [X75] : p1(X75)
& ! [X76] : p1(X76) ) )
& ( ? [X88,X87] : a(X87,X88)
<=> ? [X86,X85] : a(X85,X86) )
& ( ! [X52] : p1(X52)
=> ! [X53,X54] :
( p1(X53)
& p1(X54) ) )
& ? [X33] :
( ? [X34] : p1(X34)
=> p1(X33) )
& ( ! [X6,X5] :
( eq(X5,X6)
<=> ! [X7] :
( a_member_of(X7,X6)
<=> a_member_of(X7,X5) ) )
=> ! [X8,X9] :
( eq(X9,X8)
=> eq(X8,X9) ) )
& ( ? [X114] : p1(X114)
=> ( ? [X115] : p1(X115)
& ( a0
=> ( ( q0
=> q0 )
& ( b0
| ~ b0 ) ) ) ) )
& ! [X77] :
( ! [X78] :
( ( r1(X77)
=> r1(X78) )
=> p(f(X78),X78) )
=> ? [X80,X79] :
( p(X79,X80)
& ( q(f(X77),X77)
=> q(X79,X80) ) ) )
& ( ( ? [X28] :
( q1(X28)
=> r1(X28) )
& ! [X27] :
( p1(X27)
=> q1(X27) ) )
=> ? [X29] :
( p1(X29)
=> r1(X29) ) ) ),
inference(pure_predicate_removal,[],[f3]) ).
fof(f3,plain,
~ ( ? [X127] :
! [X128] :
( p1(X127)
=> p1(X128) )
& ( ! [X101,X100] : p(X100,X101)
=> ! [X102] : p(X102,X102) )
& ( ? [X43] : b(X43)
=> ? [X44] :
( b(X44)
| a1(X44) ) )
& ? [X70] :
! [X71] :
? [X72] :
( ( p(X72,X71)
=> ? [X73] : p(X73,X72) )
& ( ( p(X70,X72)
& p(X72,X70) )
=> p(X72,X71) ) )
& ( ! [X2] :
? [X3] :
( a(X3,X3)
& a(X2,X3) )
=> ? [X4] : a(X4,X4) )
& ! [X89,X90] :
( ! [X91] : q1(f(X91))
=> ? [X92,X93] :
( q1(X92)
& ( p1(f(X93))
=> ( ( r1(X93)
=> ( r1(X90)
& r1(X89) ) )
& p1(X92) ) ) ) )
& ( ? [X104] : p1(X104)
<=> ? [X103] : p1(X103) )
& ! [X81,X82] :
( ! [X83] :
( q1(X83)
=> p1(X83) )
=> ? [X84] :
( ( p1(X84)
=> p1(X82) )
& ( q1(X84)
=> p1(X81) ) ) )
& ! [X134,X135] :
? [X136,X137] :
( ( r1(X134)
& q1(X135)
& q1(X134)
& s1(X135)
& ( q1(X137)
=> p(X137,X135) )
& r1(X135)
& ( s1(X135)
=> p(X137,X136) )
& ( r1(X136)
=> p(X134,X136) ) )
=> p(X135,X134) )
& ! [X130,X129] :
( ! [X131] : q1(f(X131))
=> ? [X133,X132] :
( q1(X132)
& ( p1(f(X133))
=> p1(X132) )
& ( r1(X133)
=> ( r1(X129)
& r1(X130) ) ) ) )
& ( ( a0
& b0 )
=> ( b0
<=> a0 ) )
& ( ! [X119] :
? [X120] :
( p1(X119)
& q1(X120) )
=> ? [X121] :
! [X122] :
( p1(X122)
| r1(X121) ) )
& ( ( ~ ! [X62] :
( a1(X62)
=> b(X62) )
& ! [X61] :
( a1(X61)
=> ( b(X61)
| c(X61) ) ) )
=> ? [X63] :
( c(X63)
& a1(X63) ) )
& ! [X105] :
( ( ! [X106] :
( q1(X106)
& p1(X106) )
& ( f0
| g0 ) )
=> q1(X105) )
& ( p1(z)
=> p1(z) )
& ! [X64,X65] :
( ! [X66] :
( q1(X66)
=> p1(X66) )
=> ? [X67] :
( ( p1(X67)
=> p1(X64) )
& ( q1(X67)
=> p1(X65) ) ) )
& ! [X19,X21,X20] :
( ( s1(X21)
& s1(X20)
& ! [X22] :
( s1(X22)
=> p1(X22) )
& ! [X24,X23] :
( r(X24,X23)
=> q(X24,X23) )
& r(X21,X19) )
=> ? [X25,X26] :
( p1(X25)
& q(X25,X26) ) )
& ( ( ? [X111] : q1(X111)
& ! [X110] : p1(X110) )
=> ? [X112] :
! [X113] :
( p1(X113)
| r1(X112) ) )
& ( ! [X0] : p1(X0)
=> ? [X1] : p1(X1) )
& ! [X56,X55] :
( ! [X57] :
( q1(X57)
=> p1(X57) )
=> ? [X58] :
( ( q1(X58)
=> p1(X56) )
& ( p1(X58)
=> p1(X55) ) ) )
& ( ! [X107] :
( a1(X107)
=> b(X107) )
=> ( ? [X108] : a1(X108)
=> ? [X109] : b(X109) ) )
& ! [X94] :
? [X98,X95,X97,X96,X99] :
( ( ( e(X95)
=> ( c(f(X95))
| g(X95) ) )
& e(X94)
& ( s(X94,X98)
=> p1(X98) )
& ( e(X99)
=> ( s(X99,f(X99))
| g(X99) ) )
& p1(X94) )
=> ( ( c(X96)
& p1(X96) )
| ( g(X97)
& p1(X97) ) ) )
& ~ ? [X14] :
! [X15] :
( a(X15,X14)
<=> ~ a(X15,X15) )
& ( b0
| a0
| ( b0
<=> a0 ) )
& ! [X124,X123] :
? [X125,X126] :
( ( p1(X125)
=> r1(X126) )
=> ( p1(X124)
=> r1(X123) ) )
& ( ? [X10] :
! [X11] : p(X10,X11)
=> ! [X12] :
? [X13] : p(X13,X12) )
& ! [X48,X49] :
( q1(f(X49))
=> ? [X50,X51] :
( q1(X50)
& ( p1(f(X51))
=> ( p1(X50)
& ( r1(X51)
=> ( r1(X49)
& r1(X48) ) ) ) ) ) )
& ( ! [X30] :
( p1(X30)
=> q1(X30) )
=> ( ! [X31] : p1(X31)
=> ! [X32] : q1(X32) ) )
& ! [X16] :
( ( r1(X16)
& ! [X17] :
( p1(X17)
=> q1(X17) ) )
=> ( ! [X18] :
( r1(X18)
=> p1(X18) )
=> q1(X16) ) )
& ( ? [X68] : p1(X68)
=> ? [X69] : p1(X69) )
& ( ( ? [X139] : a1(X139)
& ! [X138] : b(X138) )
=> ? [X140] :
( a1(X140)
& b(X140) ) )
& ( ? [X59] : p1(X59)
=> ? [X60] : p1(X60) )
& ( ? [X45] :
( a1(X45)
=> b(X45) )
=> ( ! [X46] : a1(X46)
=> ? [X47] : b(X47) ) )
& ! [X36,X37,X35] :
( ( ! [X38] :
( s1(X38)
=> p1(X38) )
& ! [X39,X40] :
( r(X40,X39)
=> q(X40,X39) )
& s1(X37)
& s1(X35)
& r(X37,X36) )
=> ? [X42,X41] :
( q(X42,X41)
& p1(X42) ) )
& ! [X116,X117] :
( ! [X118] : p1(X118)
=> ( p1(X116)
& p1(X117) ) )
& ( ! [X74] : p1(X74)
=> ( ! [X75] : p1(X75)
& ! [X76] : p1(X76) ) )
& ( ? [X88,X87] : a(X87,X88)
<=> ? [X86,X85] : a(X85,X86) )
& ( ! [X52] : p1(X52)
=> ! [X53,X54] :
( p1(X53)
& p1(X54) ) )
& ? [X33] :
( ? [X34] : p1(X34)
=> p1(X33) )
& ( ! [X6,X5] :
( eq(X5,X6)
<=> ! [X7] :
( a_member_of(X7,X6)
<=> a_member_of(X7,X5) ) )
=> ! [X8,X9] :
( eq(X9,X8)
=> eq(X8,X9) ) )
& ( ? [X114] : p1(X114)
=> ( ? [X115] : p1(X115)
& ( a0
=> ( ( q0
=> q0 )
& ( b0
| ~ b0 ) ) ) ) )
& ! [X77] :
( ! [X78] :
( ( r1(X77)
=> r1(X78) )
=> p(f(X78),X78) )
=> ? [X80,X79] :
( p(X79,X80)
& ( q(f(X77),X77)
=> q(X79,X80) ) ) )
& ( ( ? [X28] :
( q1(X28)
=> r1(X28) )
& ! [X27] :
( p1(X27)
=> q1(X27) ) )
=> ? [X29] :
( p1(X29)
=> r1(X29) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ! [X3] : p1(X3)
=> ? [X4] : p1(X4) )
& ( ! [X3] :
? [X4] :
( a(X4,X4)
& a(X3,X4) )
=> ? [X2] : a(X2,X2) )
& ( ! [X3,X4] :
( eq(X3,X4)
<=> ! [X2] :
( a_member_of(X2,X3)
<=> a_member_of(X2,X4) ) )
=> ! [X1,X5] :
( eq(X5,X1)
=> eq(X1,X5) ) )
& ( p1(z)
=> p1(z) )
& ( ? [X3] :
! [X4] : p(X3,X4)
=> ! [X4] :
? [X3] : p(X3,X4) )
& ~ ? [X4] :
! [X3] :
( ~ a(X3,X3)
<=> a(X3,X4) )
& ! [X1] :
( ( ! [X3] :
( p1(X3)
=> q1(X3) )
& r1(X1) )
=> ( ! [X4] :
( r1(X4)
=> p1(X4) )
=> q1(X1) ) )
& ! [X0,X5,X1] :
( ( ! [X3] :
( s1(X3)
=> p1(X3) )
& r(X1,X0)
& ! [X4,X3] :
( r(X3,X4)
=> q(X3,X4) )
& s1(X1)
& s1(X5) )
=> ? [X3,X4] :
( p1(X3)
& q(X3,X4) ) )
& ( b0
| a0
| ( b0
<=> a0 ) )
& ( ( ! [X3] :
( p1(X3)
=> q1(X3) )
& ? [X4] :
( q1(X4)
=> r1(X4) ) )
=> ? [X2] :
( p1(X2)
=> r1(X2) ) )
& ( ( a0
& b0 )
=> ( b0
<=> a0 ) )
& ( ! [X3] :
( p1(X3)
=> q1(X3) )
=> ( ! [X3] : p1(X3)
=> ! [X3] : q1(X3) ) )
& ? [X4] :
( ? [X3] : p1(X3)
=> p1(X4) )
& ! [X5,X0,X1] :
( ( s1(X5)
& r(X1,X0)
& ! [X3] :
( s1(X3)
=> p1(X3) )
& ! [X4,X3] :
( r(X3,X4)
=> q(X3,X4) )
& s1(X1) )
=> ? [X4,X3] :
( q(X3,X4)
& p1(X3) ) )
& ( ? [X3] : b(X3)
=> ? [X3] :
( a1(X3)
| b(X3) ) )
& ( ? [X3] :
( a1(X3)
=> b(X3) )
=> ( ! [X3] : a1(X3)
=> ? [X3] : b(X3) ) )
& ! [X0,X1] :
( q1(f(X1))
=> ? [X3,X4] :
( q1(X3)
& ( p1(f(X4))
=> ( p1(X3)
& ( r1(X4)
=> ( r1(X1)
& r1(X0) ) ) ) ) ) )
& ( ! [X3] : p1(X3)
=> ! [X1,X5] :
( p1(X1)
& p1(X5) ) )
& ! [X5,X1] :
( ! [X4] :
( q1(X4)
=> p1(X4) )
=> ? [X3] :
( ( p1(X3)
=> p1(X5) )
& ( q1(X3)
=> p1(X1) ) ) )
& ( ? [X3] : p1(X3)
=> ? [X2] : p1(X2) )
& ( ( ! [X3] :
( a1(X3)
=> ( b(X3)
| c(X3) ) )
& ~ ! [X3] :
( a1(X3)
=> b(X3) ) )
=> ? [X3] :
( c(X3)
& a1(X3) ) )
& ! [X5,X1] :
( ! [X2] :
( q1(X2)
=> p1(X2) )
=> ? [X3] :
( ( p1(X3)
=> p1(X5) )
& ( q1(X3)
=> p1(X1) ) ) )
& ( ? [X3] : p1(X3)
=> ? [X4] : p1(X4) )
& ? [X2] :
! [X3] :
? [X4] :
( ( ( p(X2,X4)
& p(X4,X2) )
=> p(X4,X3) )
& ( p(X4,X3)
=> ? [X9] : p(X9,X4) ) )
& ( ! [X3] : p1(X3)
=> ( ! [X4] : p1(X4)
& ! [X3] : p1(X3) ) )
& ! [X1] :
( ! [X4] :
( ( r1(X1)
=> r1(X4) )
=> p(f(X4),X4) )
=> ? [X3,X4] :
( p(X3,X4)
& ( q(f(X1),X1)
=> q(X3,X4) ) ) )
& ! [X1,X5] :
( ! [X4] :
( q1(X4)
=> p1(X4) )
=> ? [X3] :
( ( p1(X3)
=> p1(X5) )
& ( q1(X3)
=> p1(X1) ) ) )
& ( ? [X3,X4] : a(X3,X4)
<=> ? [X3,X4] : a(X3,X4) )
& ! [X1,X0] :
( ! [X2] : q1(f(X2))
=> ? [X3,X4] :
( q1(X3)
& ( p1(f(X4))
=> ( p1(X3)
& ( r1(X4)
=> ( r1(X0)
& r1(X1) ) ) ) ) ) )
& ! [X5] :
? [X6,X8,X7,X4,X3] :
( ( ( e(X6)
=> ( c(f(X6))
| g(X6) ) )
& ( s(X5,X4)
=> p1(X4) )
& p1(X5)
& ( e(X3)
=> ( g(X3)
| s(X3,f(X3)) ) )
& e(X5) )
=> ( ( g(X7)
& p1(X7) )
| ( c(X8)
& p1(X8) ) ) )
& ( ! [X3,X4] : p(X3,X4)
=> ! [X3] : p(X3,X3) )
& ( ? [X4] : p1(X4)
<=> ? [X3] : p1(X3) )
& ! [X5] :
( ( ( f0
| g0 )
& ! [X3] :
( p1(X3)
& q1(X3) ) )
=> q1(X5) )
& ( ! [X3] :
( a1(X3)
=> b(X3) )
=> ( ? [X3] : a1(X3)
=> ? [X3] : b(X3) ) )
& ( ( ! [X3] : p1(X3)
& ? [X4] : q1(X4) )
=> ? [X2] :
! [X4] :
( r1(X2)
| p1(X4) ) )
& ( ? [X3] : p1(X3)
=> ( ? [X3] : p1(X3)
& ( a0
=> ( ( q0
=> q0 )
& ( b0
| ~ b0 ) ) ) ) )
& ! [X5,X1] :
( ! [X3] : p1(X3)
=> ( p1(X1)
& p1(X5) ) )
& ( ! [X3] :
? [X4] :
( q1(X4)
& p1(X3) )
=> ? [X2] :
! [X4] :
( p1(X4)
| r1(X2) ) )
& ! [X1,X5] :
? [X3,X4] :
( ( p1(X3)
=> r1(X4) )
=> ( p1(X5)
=> r1(X1) ) )
& ? [X3] :
! [X4] :
( p1(X3)
=> p1(X4) )
& ! [X1,X0] :
( ! [X2] : q1(f(X2))
=> ? [X3,X4] :
( ( r1(X4)
=> ( r1(X0)
& r1(X1) ) )
& q1(X3)
& ( p1(f(X4))
=> p1(X3) ) ) )
& ! [X1,X5] :
? [X4,X3] :
( ( q1(X1)
& ( r1(X4)
=> p(X1,X4) )
& s1(X5)
& ( q1(X3)
=> p(X3,X5) )
& r1(X5)
& q1(X5)
& ( s1(X5)
=> p(X3,X4) )
& r1(X1) )
=> p(X5,X1) )
& ( ( ! [X3] : b(X3)
& ? [X3] : a1(X3) )
=> ? [X3] :
( a1(X3)
& b(X3) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ! [X3] : p1(X3)
=> ? [X4] : p1(X4) )
& ( ! [X3] :
? [X4] :
( a(X4,X4)
& a(X3,X4) )
=> ? [X2] : a(X2,X2) )
& ( ! [X3,X4] :
( eq(X3,X4)
<=> ! [X2] :
( a_member_of(X2,X3)
<=> a_member_of(X2,X4) ) )
=> ! [X1,X5] :
( eq(X5,X1)
=> eq(X1,X5) ) )
& ( p1(z)
=> p1(z) )
& ( ? [X3] :
! [X4] : p(X3,X4)
=> ! [X4] :
? [X3] : p(X3,X4) )
& ~ ? [X4] :
! [X3] :
( ~ a(X3,X3)
<=> a(X3,X4) )
& ! [X1] :
( ( ! [X3] :
( p1(X3)
=> q1(X3) )
& r1(X1) )
=> ( ! [X4] :
( r1(X4)
=> p1(X4) )
=> q1(X1) ) )
& ! [X0,X5,X1] :
( ( ! [X3] :
( s1(X3)
=> p1(X3) )
& r(X1,X0)
& ! [X4,X3] :
( r(X3,X4)
=> q(X3,X4) )
& s1(X1)
& s1(X5) )
=> ? [X3,X4] :
( p1(X3)
& q(X3,X4) ) )
& ( b0
| a0
| ( b0
<=> a0 ) )
& ( ( ! [X3] :
( p1(X3)
=> q1(X3) )
& ? [X4] :
( q1(X4)
=> r1(X4) ) )
=> ? [X2] :
( p1(X2)
=> r1(X2) ) )
& ( ( a0
& b0 )
=> ( b0
<=> a0 ) )
& ( ! [X3] :
( p1(X3)
=> q1(X3) )
=> ( ! [X3] : p1(X3)
=> ! [X3] : q1(X3) ) )
& ? [X4] :
( ? [X3] : p1(X3)
=> p1(X4) )
& ! [X5,X0,X1] :
( ( s1(X5)
& r(X1,X0)
& ! [X3] :
( s1(X3)
=> p1(X3) )
& ! [X4,X3] :
( r(X3,X4)
=> q(X3,X4) )
& s1(X1) )
=> ? [X4,X3] :
( q(X3,X4)
& p1(X3) ) )
& ( ? [X3] : b(X3)
=> ? [X3] :
( a1(X3)
| b(X3) ) )
& ( ? [X3] :
( a1(X3)
=> b(X3) )
=> ( ! [X3] : a1(X3)
=> ? [X3] : b(X3) ) )
& ! [X0,X1] :
( q1(f(X1))
=> ? [X3,X4] :
( q1(X3)
& ( p1(f(X4))
=> ( p1(X3)
& ( r1(X4)
=> ( r1(X1)
& r1(X0) ) ) ) ) ) )
& ( ! [X3] : p1(X3)
=> ! [X1,X5] :
( p1(X1)
& p1(X5) ) )
& ! [X5,X1] :
( ! [X4] :
( q1(X4)
=> p1(X4) )
=> ? [X3] :
( ( p1(X3)
=> p1(X5) )
& ( q1(X3)
=> p1(X1) ) ) )
& ( ? [X3] : p1(X3)
=> ? [X2] : p1(X2) )
& ( ( ! [X3] :
( a1(X3)
=> ( b(X3)
| c(X3) ) )
& ~ ! [X3] :
( a1(X3)
=> b(X3) ) )
=> ? [X3] :
( c(X3)
& a1(X3) ) )
& ! [X5,X1] :
( ! [X2] :
( q1(X2)
=> p1(X2) )
=> ? [X3] :
( ( p1(X3)
=> p1(X5) )
& ( q1(X3)
=> p1(X1) ) ) )
& ( ? [X3] : p1(X3)
=> ? [X4] : p1(X4) )
& ? [X2] :
! [X3] :
? [X4] :
( ( ( p(X2,X4)
& p(X4,X2) )
=> p(X4,X3) )
& ( p(X4,X3)
=> ? [X9] : p(X9,X4) ) )
& ( ! [X3] : p1(X3)
=> ( ! [X4] : p1(X4)
& ! [X3] : p1(X3) ) )
& ! [X1] :
( ! [X4] :
( ( r1(X1)
=> r1(X4) )
=> p(f(X4),X4) )
=> ? [X3,X4] :
( p(X3,X4)
& ( q(f(X1),X1)
=> q(X3,X4) ) ) )
& ! [X1,X5] :
( ! [X4] :
( q1(X4)
=> p1(X4) )
=> ? [X3] :
( ( p1(X3)
=> p1(X5) )
& ( q1(X3)
=> p1(X1) ) ) )
& ( ? [X3,X4] : a(X3,X4)
<=> ? [X3,X4] : a(X3,X4) )
& ! [X1,X0] :
( ! [X2] : q1(f(X2))
=> ? [X3,X4] :
( q1(X3)
& ( p1(f(X4))
=> ( p1(X3)
& ( r1(X4)
=> ( r1(X0)
& r1(X1) ) ) ) ) ) )
& ! [X5] :
? [X6,X8,X7,X4,X3] :
( ( ( e(X6)
=> ( c(f(X6))
| g(X6) ) )
& ( s(X5,X4)
=> p1(X4) )
& p1(X5)
& ( e(X3)
=> ( g(X3)
| s(X3,f(X3)) ) )
& e(X5) )
=> ( ( g(X7)
& p1(X7) )
| ( c(X8)
& p1(X8) ) ) )
& ( ! [X3,X4] : p(X3,X4)
=> ! [X3] : p(X3,X3) )
& ( ? [X4] : p1(X4)
<=> ? [X3] : p1(X3) )
& ! [X5] :
( ( ( f0
| g0 )
& ! [X3] :
( p1(X3)
& q1(X3) ) )
=> q1(X5) )
& ( ! [X3] :
( a1(X3)
=> b(X3) )
=> ( ? [X3] : a1(X3)
=> ? [X3] : b(X3) ) )
& ( ( ! [X3] : p1(X3)
& ? [X4] : q1(X4) )
=> ? [X2] :
! [X4] :
( r1(X2)
| p1(X4) ) )
& ( ? [X3] : p1(X3)
=> ( ? [X3] : p1(X3)
& ( a0
=> ( ( q0
=> q0 )
& ( b0
| ~ b0 ) ) ) ) )
& ! [X5,X1] :
( ! [X3] : p1(X3)
=> ( p1(X1)
& p1(X5) ) )
& ( ! [X3] :
? [X4] :
( q1(X4)
& p1(X3) )
=> ? [X2] :
! [X4] :
( p1(X4)
| r1(X2) ) )
& ! [X1,X5] :
? [X3,X4] :
( ( p1(X3)
=> r1(X4) )
=> ( p1(X5)
=> r1(X1) ) )
& ? [X3] :
! [X4] :
( p1(X3)
=> p1(X4) )
& ! [X1,X0] :
( ! [X2] : q1(f(X2))
=> ? [X3,X4] :
( ( r1(X4)
=> ( r1(X0)
& r1(X1) ) )
& q1(X3)
& ( p1(f(X4))
=> p1(X3) ) ) )
& ! [X1,X5] :
? [X4,X3] :
( ( q1(X1)
& ( r1(X4)
=> p(X1,X4) )
& s1(X5)
& ( q1(X3)
=> p(X3,X5) )
& r1(X5)
& q1(X5)
& ( s1(X5)
=> p(X3,X4) )
& r1(X1) )
=> p(X5,X1) )
& ( ( ! [X3] : b(X3)
& ? [X3] : a1(X3) )
=> ? [X3] :
( a1(X3)
& b(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f616,plain,
( spl103_37
| spl103_14
| ~ spl103_36
| spl103_38
| spl103_18
| spl103_1
| spl103_27
| spl103_7
| ~ spl103_32
| spl103_2
| spl103_25
| spl103_28
| spl103_10
| spl103_24
| ~ spl103_35
| spl103_15
| spl103_9
| spl103_16
| spl103_22
| spl103_19
| spl103_6
| spl103_20
| spl103_39
| spl103_4
| spl103_30
| spl103_40
| spl103_29
| spl103_12
| spl103_31
| spl103_23
| spl103_41
| ~ spl103_33
| spl103_42
| spl103_17
| spl103_43
| spl103_11
| spl103_5
| spl103_8
| spl103_26
| spl103_13
| spl103_21 ),
inference(avatar_split_clause,[],[f587,f460,f429,f480,f409,f397,f421,f613,f445,f609,f520,f605,f468,f500,f425,f492,f601,f496,f393,f597,f456,f401,f453,f464,f441,f413,f437,f552,f472,f417,f488,f476,f386,f516,f405,f484,f382,f449,f593,f556,f433,f589]) ).
fof(f587,plain,
! [X0] :
( sP36
| sP16
| sP5
| sP22
| sP9
| sP2
| sP29
| sP13
| sP28
| ~ p1(sK101)
| sP14
| sP25
| sP4
| sP6
| sP32
| sP17
| sP11
| sP23
| sP26
| sP34
| sP8
| ~ p1(X0)
| sP31
| sP18
| sP21
| sP20
| ~ p1(sK99)
| sP3
| sP33
| sP15
| sP1
| sP0
| ~ p1(sK102)
| sP19
| sP7
| sP27
| sP24
| sP39
| ~ p1(sK100)
| sP10
| sP12 ),
inference(subsumption_resolution,[],[f586,f212]) ).
fof(f212,plain,
! [X1] :
( ~ sP38
| ~ p1(X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f586,plain,
! [X0] :
( sP21
| sP22
| ~ p1(sK102)
| sP34
| sP27
| ~ p1(X0)
| sP17
| sP10
| sP5
| sP33
| sP8
| sP26
| sP14
| sP23
| ~ p1(sK100)
| sP28
| sP20
| sP36
| sP19
| ~ p1(sK99)
| ~ p1(sK101)
| sP16
| sP6
| sP29
| sP18
| sP25
| sP1
| sP31
| sP3
| sP4
| sP0
| sP12
| sP13
| sP9
| sP32
| sP39
| sP15
| sP24
| sP38
| sP2
| sP7
| sP11 ),
inference(subsumption_resolution,[],[f585,f219]) ).
fof(f219,plain,
! [X0] :
( ~ sP35
| ~ p1(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f585,plain,
! [X0] :
( sP19
| sP27
| sP31
| sP7
| sP26
| sP12
| sP22
| sP3
| sP15
| sP25
| sP11
| ~ p1(sK99)
| sP1
| sP34
| sP5
| sP4
| sP33
| ~ p1(X0)
| sP9
| sP35
| sP38
| sP20
| sP18
| sP2
| sP32
| sP24
| sP6
| sP39
| sP13
| ~ p1(sK100)
| ~ p1(sK101)
| sP16
| sP36
| sP10
| sP8
| sP14
| ~ p1(sK102)
| sP28
| sP23
| sP29
| sP0
| sP21
| sP17 ),
inference(subsumption_resolution,[],[f584,f215]) ).
fof(f215,plain,
! [X0] :
( ~ sP37
| ~ p1(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f584,plain,
! [X0] :
( sP37
| sP5
| sP20
| sP13
| sP18
| sP7
| sP17
| sP25
| sP21
| sP22
| sP38
| ~ p1(sK100)
| sP9
| sP36
| sP8
| sP23
| sP3
| sP29
| sP34
| sP11
| sP6
| sP27
| sP14
| sP28
| sP33
| sP31
| ~ p1(X0)
| ~ p1(sK99)
| sP15
| sP39
| sP4
| sP16
| sP19
| sP0
| sP12
| ~ p1(sK101)
| sP32
| sP35
| sP26
| sP24
| sP10
| sP1
| ~ p1(sK102)
| sP2 ),
inference(subsumption_resolution,[],[f367,f229]) ).
fof(f229,plain,
! [X0,X1] :
( ~ sP30
| ~ p1(X1)
| ~ p1(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f367,plain,
! [X0] :
( sP38
| sP27
| sP24
| sP13
| sP32
| sP33
| sP39
| sP23
| sP0
| sP1
| sP19
| sP25
| sP15
| sP12
| sP10
| sP14
| sP31
| sP28
| sP16
| sP17
| sP2
| sP11
| sP37
| sP29
| sP21
| sP9
| sP6
| sP18
| sP8
| sP7
| ~ p1(sK101)
| sP26
| sP35
| sP5
| sP4
| sP34
| sP3
| sP30
| ~ p1(X0)
| ~ p1(sK102)
| ~ p1(sK99)
| sP36
| ~ p1(sK100)
| sP20
| sP22 ),
inference(cnf_transformation,[],[f209]) ).
fof(f503,plain,
( spl103_1
| spl103_2
| spl103_3
| spl103_4
| spl103_5
| spl103_6
| spl103_7
| spl103_8
| spl103_9
| spl103_10
| spl103_11
| spl103_12
| spl103_13
| spl103_14
| spl103_15
| spl103_3
| spl103_16
| spl103_17
| spl103_18
| spl103_19
| spl103_20
| spl103_21
| spl103_22
| spl103_23
| spl103_24
| spl103_25
| spl103_26
| spl103_27
| spl103_28
| spl103_29
| spl103_30
| spl103_31 ),
inference(avatar_split_clause,[],[f380,f500,f496,f492,f488,f484,f480,f476,f472,f468,f464,f460,f456,f453,f449,f445,f441,f390,f437,f433,f429,f425,f421,f417,f413,f409,f405,f401,f397,f393,f390,f386,f382]) ).
fof(f380,plain,
! [X2,X0,X7] :
( sP4
| sP11
| sP32
| sP15
| sP7
| sP5
| sP1
| sP3
| sP25
| sP31
| sP36
| sP34
| ~ p1(X0)
| sP24
| sP13
| sP18
| p1(X2)
| sP20
| sP10
| sP16
| sP6
| sP2
| sP33
| sP21
| sP22
| sP19
| sP8
| sP9
| sP23
| p1(X7)
| sP0
| sP27 ),
inference(subsumption_resolution,[],[f379,f234]) ).
fof(f379,plain,
! [X2,X0,X7] :
( sP6
| sP2
| sP18
| sP16
| sP22
| sP20
| sP19
| sP32
| sP11
| sP24
| ~ p1(X0)
| sP9
| sP8
| p1(X7)
| sP33
| sP7
| sP10
| sP3
| sP21
| sP4
| sP0
| sP25
| sP23
| sP34
| sP5
| sP28
| sP36
| sP15
| p1(X2)
| sP27
| sP13
| sP1
| sP31 ),
inference(subsumption_resolution,[],[f378,f212]) ).
fof(f378,plain,
! [X2,X0,X7] :
( sP11
| sP24
| sP32
| sP3
| sP25
| sP21
| sP27
| p1(X7)
| sP33
| sP10
| sP38
| ~ p1(X0)
| sP15
| sP22
| sP34
| sP9
| sP8
| sP1
| sP23
| sP7
| sP19
| sP2
| sP0
| sP20
| sP6
| sP16
| sP28
| sP4
| sP18
| sP13
| p1(X2)
| sP36
| sP31
| sP5 ),
inference(subsumption_resolution,[],[f377,f271]) ).
fof(f377,plain,
! [X2,X0,X7] :
( sP32
| sP20
| sP24
| sP3
| sP13
| sP17
| sP22
| sP27
| sP4
| sP6
| sP15
| sP18
| sP25
| sP21
| sP10
| sP38
| p1(X2)
| sP16
| sP8
| ~ p1(X0)
| sP36
| sP9
| sP0
| sP31
| sP5
| sP1
| sP11
| sP19
| sP7
| sP2
| p1(X7)
| sP23
| sP28
| sP33
| sP34 ),
inference(subsumption_resolution,[],[f376,f219]) ).
fof(f376,plain,
! [X2,X0,X7] :
( p1(X2)
| sP11
| sP24
| sP31
| sP27
| sP21
| sP35
| sP7
| sP3
| sP33
| sP38
| sP28
| sP4
| sP8
| p1(X7)
| sP19
| sP16
| sP18
| sP9
| sP13
| sP2
| sP15
| sP10
| sP1
| sP32
| sP23
| sP5
| sP17
| sP34
| sP6
| sP22
| ~ p1(X0)
| sP0
| sP25
| sP36
| sP20 ),
inference(subsumption_resolution,[],[f375,f231]) ).
fof(f375,plain,
! [X2,X0,X7] :
( p1(X7)
| sP29
| sP21
| sP13
| sP34
| sP23
| sP8
| sP5
| sP32
| sP3
| sP36
| sP1
| sP18
| sP35
| sP15
| sP0
| sP31
| sP20
| sP27
| sP33
| sP2
| sP38
| sP10
| sP17
| sP11
| sP16
| sP28
| sP22
| ~ p1(X0)
| sP25
| sP19
| p1(X2)
| sP24
| sP4
| sP7
| sP9
| sP6 ),
inference(subsumption_resolution,[],[f374,f215]) ).
fof(f374,plain,
! [X2,X0,X7] :
( sP8
| sP32
| sP1
| sP33
| sP16
| sP22
| sP27
| sP20
| sP3
| sP34
| sP37
| sP21
| sP15
| sP0
| sP25
| p1(X2)
| sP5
| sP17
| sP11
| sP29
| sP6
| sP13
| sP19
| sP4
| sP9
| sP35
| sP31
| sP2
| sP24
| sP18
| sP10
| sP36
| sP38
| sP7
| ~ p1(X0)
| p1(X7)
| sP28
| sP23 ),
inference(subsumption_resolution,[],[f373,f210]) ).
fof(f373,plain,
! [X2,X0,X7] :
( sP6
| sP0
| p1(X2)
| sP10
| sP39
| sP17
| sP15
| sP31
| sP27
| sP36
| sP8
| sP4
| sP33
| sP24
| sP37
| sP19
| sP9
| sP5
| sP2
| ~ p1(X0)
| sP32
| sP11
| sP34
| sP18
| sP3
| sP16
| sP28
| sP21
| sP22
| sP7
| sP25
| p1(X7)
| sP23
| sP1
| sP13
| sP35
| sP20
| sP29
| sP38 ),
inference(subsumption_resolution,[],[f372,f280]) ).
fof(f372,plain,
! [X2,X0,X7] :
( sP6
| sP3
| sP14
| sP19
| sP28
| sP27
| sP10
| sP2
| sP17
| sP22
| sP15
| sP35
| sP25
| sP24
| sP37
| sP11
| sP0
| sP29
| ~ p1(X0)
| sP9
| sP16
| sP1
| sP4
| sP18
| sP39
| sP36
| sP21
| sP32
| sP7
| sP33
| sP8
| sP5
| sP31
| sP13
| p1(X2)
| sP34
| sP20
| sP23
| sP38
| p1(X7) ),
inference(subsumption_resolution,[],[f371,f291]) ).
fof(f371,plain,
! [X2,X0,X7] :
( sP27
| sP3
| sP0
| p1(X2)
| sP24
| sP18
| sP10
| sP8
| sP19
| sP1
| sP31
| sP12
| sP7
| sP17
| sP20
| sP2
| sP39
| sP16
| sP13
| sP29
| sP34
| sP37
| p1(X7)
| sP38
| ~ p1(X0)
| sP11
| sP5
| sP23
| sP32
| sP14
| sP21
| sP35
| sP9
| sP22
| sP15
| sP36
| sP28
| sP25
| sP33
| sP6
| sP4 ),
inference(subsumption_resolution,[],[f370,f238]) ).
fof(f370,plain,
! [X2,X0,X7] :
( p1(X2)
| sP36
| sP10
| sP26
| sP28
| sP33
| sP29
| sP35
| sP22
| sP16
| sP31
| sP24
| p1(X7)
| sP19
| sP20
| sP23
| sP38
| sP39
| sP3
| sP4
| sP32
| sP2
| sP37
| sP18
| ~ p1(X0)
| sP34
| sP8
| sP12
| sP6
| sP9
| sP25
| sP1
| sP27
| sP14
| sP5
| sP21
| sP7
| sP17
| sP13
| sP11
| sP0
| sP15 ),
inference(subsumption_resolution,[],[f368,f229]) ).
fof(f368,plain,
! [X2,X0,X7] :
( sP36
| sP21
| sP35
| sP3
| sP26
| sP22
| sP32
| sP37
| sP25
| sP11
| sP28
| sP12
| ~ p1(X0)
| sP4
| sP13
| sP10
| sP2
| sP27
| sP19
| sP6
| sP18
| sP39
| sP15
| p1(X7)
| sP9
| sP34
| sP0
| sP16
| sP23
| sP20
| sP24
| sP17
| sP1
| sP33
| sP38
| p1(X2)
| sP8
| sP14
| sP30
| sP29
| sP31
| sP5
| sP7 ),
inference(cnf_transformation,[],[f209]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN938+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 22:37:04 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.46 % (3919)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.47 % (3928)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.48 % (3919)Refutation not found, incomplete strategy% (3919)------------------------------
% 0.20/0.48 % (3919)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (3928)Instruction limit reached!
% 0.20/0.48 % (3928)------------------------------
% 0.20/0.48 % (3928)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (3928)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (3928)Termination reason: Unknown
% 0.20/0.48 % (3928)Termination phase: Naming
% 0.20/0.48
% 0.20/0.48 % (3928)Memory used [KB]: 1535
% 0.20/0.48 % (3928)Time elapsed: 0.004 s
% 0.20/0.48 % (3928)Instructions burned: 2 (million)
% 0.20/0.48 % (3928)------------------------------
% 0.20/0.48 % (3928)------------------------------
% 0.20/0.48 % (3919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (3919)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.48
% 0.20/0.48 % (3919)Memory used [KB]: 6524
% 0.20/0.48 % (3919)Time elapsed: 0.073 s
% 0.20/0.48 % (3919)Instructions burned: 15 (million)
% 0.20/0.48 % (3919)------------------------------
% 0.20/0.48 % (3919)------------------------------
% 0.20/0.52 % (3924)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (3918)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.52 % (3915)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.53 % (3913)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (3920)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.53 % (3910)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.53 % (3911)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53 % (3932)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.53 % (3921)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (3939)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.53 % (3917)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.53 % (3921)Instruction limit reached!
% 0.20/0.53 % (3921)------------------------------
% 0.20/0.53 % (3921)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (3921)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (3921)Termination reason: Unknown
% 0.20/0.53 % (3921)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (3921)Memory used [KB]: 6524
% 0.20/0.53 % (3921)Time elapsed: 0.005 s
% 0.20/0.53 % (3921)Instructions burned: 8 (million)
% 0.20/0.53 % (3921)------------------------------
% 0.20/0.53 % (3921)------------------------------
% 0.20/0.53 % (3935)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.53 % (3931)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (3926)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (3937)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.54 % (3924)Instruction limit reached!
% 0.20/0.54 % (3924)------------------------------
% 0.20/0.54 % (3924)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (3924)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (3924)Termination reason: Unknown
% 0.20/0.54 % (3924)Termination phase: Naming
% 0.20/0.54
% 0.20/0.54 % (3924)Memory used [KB]: 1535
% 0.20/0.54 % (3924)Time elapsed: 0.003 s
% 0.20/0.54 % (3924)Instructions burned: 3 (million)
% 0.20/0.54 % (3924)------------------------------
% 0.20/0.54 % (3924)------------------------------
% 0.20/0.54 % (3938)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.54 % (3936)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (3922)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.54 % (3933)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.54 % (3927)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.54 % (3923)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (3929)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.54 % (3930)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.54 % (3927)Instruction limit reached!
% 0.20/0.54 % (3927)------------------------------
% 0.20/0.54 % (3927)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (3927)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (3927)Termination reason: Unknown
% 0.20/0.54 % (3927)Termination phase: Preprocessing 3
% 0.20/0.54
% 0.20/0.54 % (3927)Memory used [KB]: 1663
% 0.20/0.54 % (3927)Time elapsed: 0.003 s
% 0.20/0.54 % (3927)Instructions burned: 4 (million)
% 0.20/0.54 % (3927)------------------------------
% 0.20/0.54 % (3927)------------------------------
% 0.20/0.54 % (3914)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.54 % (3912)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.54 % (3925)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (3912)Instruction limit reached!
% 0.20/0.54 % (3912)------------------------------
% 0.20/0.54 % (3912)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (3912)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (3912)Termination reason: Unknown
% 0.20/0.54 % (3912)Termination phase: Naming
% 0.20/0.54
% 0.20/0.54 % (3912)Memory used [KB]: 1535
% 0.20/0.54 % (3912)Time elapsed: 0.003 s
% 0.20/0.54 % (3912)Instructions burned: 3 (million)
% 0.20/0.54 % (3912)------------------------------
% 0.20/0.54 % (3912)------------------------------
% 0.20/0.55 % (3920)Instruction limit reached!
% 0.20/0.55 % (3920)------------------------------
% 0.20/0.55 % (3920)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (3920)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (3920)Termination reason: Unknown
% 0.20/0.55 % (3920)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (3920)Memory used [KB]: 6524
% 0.20/0.55 % (3920)Time elapsed: 0.143 s
% 0.20/0.55 % (3920)Instructions burned: 14 (million)
% 0.20/0.55 % (3920)------------------------------
% 0.20/0.55 % (3920)------------------------------
% 0.20/0.55 % (3925)Instruction limit reached!
% 0.20/0.55 % (3925)------------------------------
% 0.20/0.55 % (3925)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (3925)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (3925)Termination reason: Unknown
% 0.20/0.55 % (3925)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (3925)Memory used [KB]: 6524
% 0.20/0.55 % (3925)Time elapsed: 0.005 s
% 0.20/0.55 % (3925)Instructions burned: 8 (million)
% 0.20/0.55 % (3925)------------------------------
% 0.20/0.55 % (3925)------------------------------
% 0.20/0.55 % (3915)Instruction limit reached!
% 0.20/0.55 % (3915)------------------------------
% 0.20/0.55 % (3915)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (3915)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (3915)Termination reason: Unknown
% 0.20/0.55 % (3915)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (3915)Memory used [KB]: 1918
% 0.20/0.55 % (3915)Time elapsed: 0.144 s
% 0.20/0.55 % (3915)Instructions burned: 17 (million)
% 0.20/0.55 % (3915)------------------------------
% 0.20/0.55 % (3915)------------------------------
% 0.20/0.55 % (3916)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.55 % (3934)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55 % (3913)Refutation not found, incomplete strategy% (3913)------------------------------
% 0.20/0.55 % (3913)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (3913)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (3913)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55
% 0.20/0.55 % (3913)Memory used [KB]: 6524
% 0.20/0.55 % (3913)Time elapsed: 0.154 s
% 0.20/0.55 % (3913)Instructions burned: 12 (million)
% 0.20/0.55 % (3913)------------------------------
% 0.20/0.55 % (3913)------------------------------
% 0.20/0.55 % (3911)Instruction limit reached!
% 0.20/0.55 % (3911)------------------------------
% 0.20/0.55 % (3911)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (3911)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (3911)Termination reason: Unknown
% 0.20/0.55 % (3911)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (3911)Memory used [KB]: 6524
% 0.20/0.55 % (3911)Time elapsed: 0.008 s
% 0.20/0.55 % (3911)Instructions burned: 15 (million)
% 0.20/0.55 % (3911)------------------------------
% 0.20/0.55 % (3911)------------------------------
% 0.20/0.56 % (3917)Refutation not found, incomplete strategy% (3917)------------------------------
% 0.20/0.56 % (3917)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (3917)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (3917)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56
% 0.20/0.56 % (3917)Memory used [KB]: 6524
% 0.20/0.56 % (3917)Time elapsed: 0.151 s
% 0.20/0.56 % (3917)Instructions burned: 13 (million)
% 0.20/0.56 % (3917)------------------------------
% 0.20/0.56 % (3917)------------------------------
% 0.20/0.56 % (3929)Refutation not found, incomplete strategy% (3929)------------------------------
% 0.20/0.56 % (3929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (3929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (3929)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56
% 0.20/0.56 % (3929)Memory used [KB]: 6396
% 0.20/0.56 % (3929)Time elapsed: 0.156 s
% 0.20/0.56 % (3929)Instructions burned: 7 (million)
% 0.20/0.56 % (3929)------------------------------
% 0.20/0.56 % (3929)------------------------------
% 0.20/0.56 % (3931)Refutation not found, incomplete strategy% (3931)------------------------------
% 0.20/0.56 % (3931)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (3931)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (3931)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56
% 0.20/0.56 % (3931)Memory used [KB]: 6524
% 0.20/0.56 % (3931)Time elapsed: 0.159 s
% 0.20/0.56 % (3931)Instructions burned: 15 (million)
% 0.20/0.56 % (3931)------------------------------
% 0.20/0.56 % (3931)------------------------------
% 0.20/0.56 % (3923)Refutation not found, incomplete strategy% (3923)------------------------------
% 0.20/0.56 % (3923)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (3923)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (3923)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56
% 0.20/0.56 % (3923)Memory used [KB]: 6780
% 0.20/0.56 % (3923)Time elapsed: 0.159 s
% 0.20/0.56 % (3923)Instructions burned: 13 (million)
% 0.20/0.56 % (3923)------------------------------
% 0.20/0.56 % (3923)------------------------------
% 0.20/0.56 % (3938)Instruction limit reached!
% 0.20/0.56 % (3938)------------------------------
% 0.20/0.56 % (3938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (3938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (3938)Termination reason: Unknown
% 0.20/0.56 % (3938)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (3938)Memory used [KB]: 6396
% 0.20/0.56 % (3938)Time elapsed: 0.006 s
% 0.20/0.56 % (3938)Instructions burned: 10 (million)
% 0.20/0.56 % (3938)------------------------------
% 0.20/0.56 % (3938)------------------------------
% 0.20/0.57 % (3936)First to succeed.
% 0.20/0.57 % (3922)Instruction limit reached!
% 0.20/0.57 % (3922)------------------------------
% 0.20/0.57 % (3922)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (3922)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (3922)Termination reason: Unknown
% 0.20/0.57 % (3922)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (3922)Memory used [KB]: 2046
% 0.20/0.57 % (3922)Time elapsed: 0.169 s
% 0.20/0.57 % (3922)Instructions burned: 18 (million)
% 0.20/0.57 % (3922)------------------------------
% 0.20/0.57 % (3922)------------------------------
% 1.77/0.57 % (3914)Instruction limit reached!
% 1.77/0.57 % (3914)------------------------------
% 1.77/0.57 % (3914)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.57 % (3914)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.57 % (3914)Termination reason: Unknown
% 1.77/0.57 % (3914)Termination phase: Clausification
% 1.77/0.57
% 1.77/0.57 % (3914)Memory used [KB]: 10490
% 1.77/0.57 % (3914)Time elapsed: 0.012 s
% 1.77/0.57 % (3914)Instructions burned: 13 (million)
% 1.77/0.57 % (3914)------------------------------
% 1.77/0.57 % (3914)------------------------------
% 1.77/0.58 % (3937)Instruction limit reached!
% 1.77/0.58 % (3937)------------------------------
% 1.77/0.58 % (3937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.77/0.58 % (3937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.77/0.58 % (3937)Termination reason: Unknown
% 1.77/0.58 % (3937)Termination phase: Saturation
% 1.77/0.58
% 1.77/0.58 % (3937)Memory used [KB]: 6908
% 1.77/0.58 % (3937)Time elapsed: 0.163 s
% 1.77/0.58 % (3937)Instructions burned: 27 (million)
% 1.77/0.58 % (3937)------------------------------
% 1.77/0.58 % (3937)------------------------------
% 1.91/0.59 % (3940)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 1.91/0.59 % (3930)Instruction limit reached!
% 1.91/0.59 % (3930)------------------------------
% 1.91/0.59 % (3930)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.59 % (3930)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.59 % (3930)Termination reason: Unknown
% 1.91/0.59 % (3930)Termination phase: Saturation
% 1.91/0.59
% 1.91/0.59 % (3930)Memory used [KB]: 6908
% 1.91/0.59 % (3930)Time elapsed: 0.200 s
% 1.91/0.59 % (3930)Instructions burned: 31 (million)
% 1.91/0.59 % (3930)------------------------------
% 1.91/0.59 % (3930)------------------------------
% 1.91/0.59 % (3918)Instruction limit reached!
% 1.91/0.59 % (3918)------------------------------
% 1.91/0.59 % (3918)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.59 % (3918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.59 % (3918)Termination reason: Unknown
% 1.91/0.59 % (3918)Termination phase: Saturation
% 1.91/0.59
% 1.91/0.59 % (3918)Memory used [KB]: 7164
% 1.91/0.59 % (3918)Time elapsed: 0.193 s
% 1.91/0.59 % (3918)Instructions burned: 50 (million)
% 1.91/0.59 % (3918)------------------------------
% 1.91/0.59 % (3918)------------------------------
% 1.91/0.60 % (3941)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.91/0.60 % (3939)Instruction limit reached!
% 1.91/0.60 % (3939)------------------------------
% 1.91/0.60 % (3939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.60 % (3939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.60 % (3939)Termination reason: Unknown
% 1.91/0.60 % (3939)Termination phase: Clausification
% 1.91/0.60
% 1.91/0.60 % (3939)Memory used [KB]: 24050
% 1.91/0.60 % (3939)Time elapsed: 0.022 s
% 1.91/0.60 % (3939)Instructions burned: 24 (million)
% 1.91/0.60 % (3939)------------------------------
% 1.91/0.60 % (3939)------------------------------
% 1.91/0.60 % (3934)Also succeeded, but the first one will report.
% 1.91/0.60 % (3926)Also succeeded, but the first one will report.
% 1.91/0.60 % (3936)Refutation found. Thanks to Tanya!
% 1.91/0.60 % SZS status Theorem for theBenchmark
% 1.91/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.91/0.61 % (3936)------------------------------
% 1.91/0.61 % (3936)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.61 % (3936)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.61 % (3936)Termination reason: Refutation
% 1.91/0.61
% 1.91/0.61 % (3936)Memory used [KB]: 7036
% 1.91/0.61 % (3936)Time elapsed: 0.166 s
% 1.91/0.61 % (3936)Instructions burned: 26 (million)
% 1.91/0.61 % (3936)------------------------------
% 1.91/0.61 % (3936)------------------------------
% 1.91/0.61 % (3909)Success in time 0.253 s
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