%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL660+1.015 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 13:47:26 EDT 2024
% Result : Theorem 3.24s 0.89s
% Output : Refutation 3.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 178
% Syntax : Number of formulae : 628 ( 3 unt; 0 def)
% Number of atoms : 9022 ( 0 equ)
% Maximal formula atoms : 766 ( 14 avg)
% Number of connectives : 12594 (4200 ~;6721 |;1572 &)
% ( 68 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 45 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 150 ( 149 usr; 69 prp; 0-2 aty)
% Number of functors : 33 ( 33 usr; 10 con; 0-1 aty)
% Number of variables : 2585 (2111 !; 474 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f34408,plain,
$false,
inference(avatar_sat_refutation,[],[f1009,f1014,f1019,f1027,f1031,f1039,f1044,f1049,f1900,f2391,f3064,f3073,f3826,f5438,f5518,f6156,f6858,f7211,f7955,f8869,f8897,f10327,f11412,f11481,f11728,f11769,f13904,f13905,f13927,f14452,f14682,f14918,f14923,f15031,f15841,f15867,f16097,f16147,f16174,f16351,f16456,f16505,f20676,f20862,f23886,f27057,f28314,f28567,f29390,f29392,f29422,f29460,f29963,f29964,f30333,f30334,f30872,f31224,f31387,f31844,f31900,f31984,f32029,f33566,f33573,f33625,f33630,f33745,f33748,f33749,f33972,f34407]) ).
fof(f34407,plain,
( ~ spl187_38
| ~ spl187_43
| spl187_149
| ~ spl187_3951 ),
inference(avatar_contradiction_clause,[],[f34406]) ).
fof(f34406,plain,
( $false
| ~ spl187_38
| ~ spl187_43
| spl187_149
| ~ spl187_3951 ),
inference(subsumption_resolution,[],[f34405,f1018]) ).
fof(f1018,plain,
( r1(sK171,sK178)
| ~ spl187_38 ),
inference(avatar_component_clause,[],[f1016]) ).
fof(f1016,plain,
( spl187_38
<=> r1(sK171,sK178) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_38])]) ).
fof(f34405,plain,
( ~ r1(sK171,sK178)
| ~ spl187_38
| ~ spl187_43
| spl187_149
| ~ spl187_3951 ),
inference(resolution,[],[f34120,f1038]) ).
fof(f1038,plain,
( sP0(sK171)
| ~ spl187_43 ),
inference(avatar_component_clause,[],[f1036]) ).
fof(f1036,plain,
( spl187_43
<=> sP0(sK171) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_43])]) ).
fof(f34120,plain,
( ! [X0] :
( ~ sP0(X0)
| ~ r1(X0,sK178) )
| ~ spl187_38
| ~ spl187_43
| spl187_149
| ~ spl187_3951 ),
inference(subsumption_resolution,[],[f34115,f1736]) ).
fof(f1736,plain,
( ~ p2(sK178)
| spl187_149 ),
inference(avatar_component_clause,[],[f1734]) ).
fof(f1734,plain,
( spl187_149
<=> p2(sK178) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_149])]) ).
fof(f34115,plain,
( ! [X0] :
( p2(sK178)
| ~ r1(X0,sK178)
| ~ sP0(X0) )
| ~ spl187_38
| ~ spl187_43
| spl187_149
| ~ spl187_3951 ),
inference(resolution,[],[f34052,f791]) ).
fof(f791,plain,
! [X0,X1] :
( ~ p2(sK170(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f393]) ).
fof(f393,plain,
! [X0] :
( ! [X1] :
( ( p2(sK169(X1))
& ~ p2(sK170(X1))
& r1(sK169(X1),sK170(X1))
& r1(X1,sK169(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK169,sK170])],[f390,f392,f391]) ).
fof(f391,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK169(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK169(X1),X3) )
& r1(X1,sK169(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f392,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK169(X1),X3) )
=> ( ~ p2(sK170(X1))
& r1(sK169(X1),sK170(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f390,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(rectify,[],[f389]) ).
fof(f389,plain,
! [X0] :
( ! [X228] :
( ? [X229] :
( p2(X229)
& ? [X230] :
( ~ p2(X230)
& r1(X229,X230) )
& r1(X228,X229) )
| p2(X228)
| ~ r1(X0,X228) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0] :
( ! [X228] :
( ? [X229] :
( p2(X229)
& ? [X230] :
( ~ p2(X230)
& r1(X229,X230) )
& r1(X228,X229) )
| p2(X228)
| ~ r1(X0,X228) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f34052,plain,
( p2(sK170(sK178))
| ~ spl187_38
| ~ spl187_43
| spl187_149
| ~ spl187_3951 ),
inference(subsumption_resolution,[],[f34051,f1736]) ).
fof(f34051,plain,
( p2(sK170(sK178))
| p2(sK178)
| ~ spl187_38
| ~ spl187_43
| ~ spl187_3951 ),
inference(subsumption_resolution,[],[f34020,f1018]) ).
fof(f34020,plain,
( p2(sK170(sK178))
| ~ r1(sK171,sK178)
| p2(sK178)
| ~ spl187_43
| ~ spl187_3951 ),
inference(resolution,[],[f33970,f29461]) ).
fof(f29461,plain,
( ! [X0] :
( r1(sK169(X0),sK170(X0))
| ~ r1(sK171,X0)
| p2(X0) )
| ~ spl187_43 ),
inference(resolution,[],[f1038,f790]) ).
fof(f790,plain,
! [X0,X1] :
( ~ sP0(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(sK169(X1),sK170(X1)) ),
inference(cnf_transformation,[],[f393]) ).
fof(f33970,plain,
( ! [X0] :
( ~ r1(sK169(sK178),X0)
| p2(X0) )
| ~ spl187_3951 ),
inference(avatar_component_clause,[],[f33969]) ).
fof(f33969,plain,
( spl187_3951
<=> ! [X0] :
( p2(X0)
| ~ r1(sK169(sK178),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_3951])]) ).
fof(f33972,plain,
( ~ spl187_3909
| spl187_3951
| ~ spl187_184
| ~ spl187_3910 ),
inference(avatar_split_clause,[],[f33962,f33627,f2042,f33969,f33622]) ).
fof(f33622,plain,
( spl187_3909
<=> r1(sK178,sK169(sK178)) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_3909])]) ).
fof(f2042,plain,
( spl187_184
<=> ! [X0,X1] :
( p2(X0)
| ~ p2(X1)
| ~ r1(sK178,X1)
| ~ r1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_184])]) ).
fof(f33627,plain,
( spl187_3910
<=> p2(sK169(sK178)) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_3910])]) ).
fof(f33962,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK178,sK169(sK178))
| ~ r1(sK169(sK178),X0) )
| ~ spl187_184
| ~ spl187_3910 ),
inference(resolution,[],[f33629,f2043]) ).
fof(f2043,plain,
( ! [X0,X1] :
( ~ p2(X1)
| p2(X0)
| ~ r1(sK178,X1)
| ~ r1(X1,X0) )
| ~ spl187_184 ),
inference(avatar_component_clause,[],[f2042]) ).
fof(f33629,plain,
( p2(sK169(sK178))
| ~ spl187_3910 ),
inference(avatar_component_clause,[],[f33627]) ).
fof(f33749,plain,
( ~ spl187_149
| spl187_151
| ~ spl187_37 ),
inference(avatar_split_clause,[],[f33743,f1011,f1743,f1734]) ).
fof(f1743,plain,
( spl187_151
<=> sP5(sK178) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_151])]) ).
fof(f1011,plain,
( spl187_37
<=> sP12(sK178) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_37])]) ).
fof(f33743,plain,
( sP5(sK178)
| ~ p2(sK178)
| ~ spl187_37 ),
inference(resolution,[],[f1013,f742]) ).
fof(f742,plain,
! [X0] :
( ~ sP12(X0)
| sP5(X0)
| ~ p2(X0) ),
inference(cnf_transformation,[],[f335]) ).
fof(f335,plain,
! [X0] :
( ( ! [X1] :
( ~ p2(X1)
| ! [X2] :
( p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ~ p2(X0) )
| ( sP6(X0)
& sP5(X0) )
| ~ sP12(X0) ),
inference(rectify,[],[f334]) ).
fof(f334,plain,
! [X175] :
( ( ! [X196] :
( ~ p2(X196)
| ! [X197] :
( p2(X197)
| ~ r1(X196,X197) )
| ~ r1(X175,X196) )
& ~ p2(X175) )
| ( sP6(X175)
& sP5(X175) )
| ~ sP12(X175) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X175] :
( ( ! [X196] :
( ~ p2(X196)
| ! [X197] :
( p2(X197)
| ~ r1(X196,X197) )
| ~ r1(X175,X196) )
& ~ p2(X175) )
| ( sP6(X175)
& sP5(X175) )
| ~ sP12(X175) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f1013,plain,
( sP12(sK178)
| ~ spl187_37 ),
inference(avatar_component_clause,[],[f1011]) ).
fof(f33748,plain,
( ~ spl187_149
| ~ spl187_37
| spl187_150 ),
inference(avatar_split_clause,[],[f33747,f1738,f1011,f1734]) ).
fof(f1738,plain,
( spl187_150
<=> sP6(sK178) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_150])]) ).
fof(f33747,plain,
( ~ p2(sK178)
| ~ spl187_37
| spl187_150 ),
inference(subsumption_resolution,[],[f33742,f1739]) ).
fof(f1739,plain,
( ~ sP6(sK178)
| spl187_150 ),
inference(avatar_component_clause,[],[f1738]) ).
fof(f33742,plain,
( sP6(sK178)
| ~ p2(sK178)
| ~ spl187_37 ),
inference(resolution,[],[f1013,f743]) ).
fof(f743,plain,
! [X0] :
( ~ sP12(X0)
| sP6(X0)
| ~ p2(X0) ),
inference(cnf_transformation,[],[f335]) ).
fof(f33745,plain,
( spl187_184
| ~ spl187_37
| spl187_150 ),
inference(avatar_split_clause,[],[f33744,f1738,f1011,f2042]) ).
fof(f33744,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(X1,X0)
| ~ r1(sK178,X1)
| ~ p2(X1) )
| ~ spl187_37
| spl187_150 ),
inference(subsumption_resolution,[],[f33740,f1739]) ).
fof(f33740,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(X1,X0)
| ~ r1(sK178,X1)
| sP6(sK178)
| ~ p2(X1) )
| ~ spl187_37 ),
inference(resolution,[],[f1013,f745]) ).
fof(f745,plain,
! [X2,X0,X1] :
( ~ sP12(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| sP6(X0)
| ~ p2(X1) ),
inference(cnf_transformation,[],[f335]) ).
fof(f33630,plain,
( spl187_3910
| spl187_149
| ~ spl187_38
| ~ spl187_43 ),
inference(avatar_split_clause,[],[f29510,f1036,f1016,f1734,f33627]) ).
fof(f29510,plain,
( p2(sK178)
| p2(sK169(sK178))
| ~ spl187_38
| ~ spl187_43 ),
inference(resolution,[],[f29463,f1018]) ).
fof(f29463,plain,
( ! [X0] :
( ~ r1(sK171,X0)
| p2(X0)
| p2(sK169(X0)) )
| ~ spl187_43 ),
inference(resolution,[],[f1038,f792]) ).
fof(f792,plain,
! [X0,X1] :
( ~ sP0(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK169(X1)) ),
inference(cnf_transformation,[],[f393]) ).
fof(f33625,plain,
( spl187_3909
| spl187_149
| ~ spl187_38
| ~ spl187_43 ),
inference(avatar_split_clause,[],[f29568,f1036,f1016,f1734,f33622]) ).
fof(f29568,plain,
( p2(sK178)
| r1(sK178,sK169(sK178))
| ~ spl187_38
| ~ spl187_43 ),
inference(resolution,[],[f29462,f1018]) ).
fof(f29462,plain,
( ! [X0] :
( ~ r1(sK171,X0)
| p2(X0)
| r1(X0,sK169(X0)) )
| ~ spl187_43 ),
inference(resolution,[],[f1038,f789]) ).
fof(f789,plain,
! [X0,X1] :
( ~ sP0(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK169(X1)) ),
inference(cnf_transformation,[],[f393]) ).
fof(f33573,plain,
( spl187_44
| ~ spl187_45
| ~ spl187_3727 ),
inference(avatar_contradiction_clause,[],[f33572]) ).
fof(f33572,plain,
( $false
| spl187_44
| ~ spl187_45
| ~ spl187_3727 ),
inference(subsumption_resolution,[],[f33571,f1048]) ).
fof(f1048,plain,
( r1(sK171,sK186)
| ~ spl187_45 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f1046,plain,
( spl187_45
<=> r1(sK171,sK186) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_45])]) ).
fof(f33571,plain,
( ~ r1(sK171,sK186)
| spl187_44
| ~ spl187_3727 ),
inference(subsumption_resolution,[],[f33567,f1043]) ).
fof(f1043,plain,
( ~ p2(sK186)
| spl187_44 ),
inference(avatar_component_clause,[],[f1041]) ).
fof(f1041,plain,
( spl187_44
<=> p2(sK186) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_44])]) ).
fof(f33567,plain,
( p2(sK186)
| ~ r1(sK171,sK186)
| ~ spl187_3727 ),
inference(resolution,[],[f30871,f840]) ).
fof(f840,plain,
! [X1] :
( ~ p2(sK172(X1))
| p2(X1)
| ~ r1(sK171,X1) ),
inference(cnf_transformation,[],[f411]) ).
fof(f411,plain,
( ! [X1] :
( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK172(X1),X3) )
& ~ p2(sK172(X1))
& r1(X1,sK172(X1)) )
| p2(X1)
| ~ r1(sK171,X1) )
& ( ( sP74(sK173)
& r1(sK173,sK174)
& ~ p1(sK173)
& r1(sK171,sK173) )
| ! [X7] : ~ r1(sK171,X7)
| p1(sK171) )
& ( sP73(sK171)
| ! [X8] : ~ r1(sK171,X8)
| p1(sK171)
| p2(sK171) )
& ( sP71(sK171)
| ! [X9] : ~ r1(sK171,X9)
| p1(sK171)
| p2(sK171)
| p3(sK171) )
& ( sP69(sK171)
| ! [X10] : ~ r1(sK171,X10)
| p1(sK171)
| p2(sK171)
| p3(sK171)
| p4(sK171) )
& ( ( sP67(sK175)
& sP66(sK175)
& ~ p1(sK175)
& r1(sK171,sK175) )
| ! [X12] :
( ! [X13] : ~ r1(X12,X13)
| p1(X12)
| p2(X12)
| p3(X12)
| p4(X12)
| ~ r1(sK171,X12) )
| p1(sK171) )
& ( sP64(sK171)
| ! [X14] :
( ! [X15] : ~ r1(X14,X15)
| p1(X14)
| p2(X14)
| p3(X14)
| p4(X14)
| ~ r1(sK171,X14) )
| p1(sK171)
| p2(sK171) )
& ( sP60(sK171)
| ! [X16] :
( ! [X17] : ~ r1(X16,X17)
| p1(X16)
| p2(X16)
| p3(X16)
| p4(X16)
| ~ r1(sK171,X16) )
| p1(sK171)
| p2(sK171)
| p3(sK171) )
& ( sP56(sK171)
| ! [X18] :
( ! [X19] : ~ r1(X18,X19)
| p1(X18)
| p2(X18)
| p3(X18)
| p4(X18)
| ~ r1(sK171,X18) )
| p1(sK171)
| p2(sK171)
| p3(sK171)
| p4(sK171) )
& ( ( sP52(sK176)
& sP51(sK176)
& ~ p1(sK176)
& r1(sK171,sK176) )
| ! [X21] :
( ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| p4(X22)
| ~ r1(X21,X22) )
| p1(X21)
| p2(X21)
| p3(X21)
| p4(X21)
| ~ r1(sK171,X21) )
| p1(sK171) )
& ( sP47(sK171)
| ! [X24] :
( ! [X25] :
( ! [X26] : ~ r1(X25,X26)
| p1(X25)
| p2(X25)
| p3(X25)
| p4(X25)
| ~ r1(X24,X25) )
| p1(X24)
| p2(X24)
| p3(X24)
| p4(X24)
| ~ r1(sK171,X24) )
| p1(sK171)
| p2(sK171) )
& ( sP41(sK171)
| ! [X27] :
( ! [X28] :
( ! [X29] : ~ r1(X28,X29)
| p1(X28)
| p2(X28)
| p3(X28)
| p4(X28)
| ~ r1(X27,X28) )
| p1(X27)
| p2(X27)
| p3(X27)
| p4(X27)
| ~ r1(sK171,X27) )
| p1(sK171)
| p2(sK171)
| p3(sK171) )
& ( sP35(sK171)
| ! [X30] :
( ! [X31] :
( ! [X32] : ~ r1(X31,X32)
| p1(X31)
| p2(X31)
| p3(X31)
| p4(X31)
| ~ r1(X30,X31) )
| p1(X30)
| p2(X30)
| p3(X30)
| p4(X30)
| ~ r1(sK171,X30) )
| p1(sK171)
| p2(sK171)
| p3(sK171)
| p4(sK171) )
& ( ( sP29(sK177)
& sP28(sK177)
& ~ p1(sK177)
& r1(sK171,sK177) )
| ! [X34] :
( ! [X35] :
( ! [X36] :
( ! [X37] : ~ r1(X36,X37)
| p1(X36)
| p2(X36)
| p3(X36)
| p4(X36)
| ~ r1(X35,X36) )
| p1(X35)
| p2(X35)
| p3(X35)
| p4(X35)
| ~ r1(X34,X35) )
| p1(X34)
| p2(X34)
| p3(X34)
| p4(X34)
| ~ r1(sK171,X34) )
| p1(sK171) )
& ( sP22(sK171)
| ! [X38] :
( ! [X39] :
( ! [X40] :
( ! [X41] : ~ r1(X40,X41)
| p1(X40)
| p2(X40)
| p3(X40)
| p4(X40)
| ~ r1(X39,X40) )
| p1(X39)
| p2(X39)
| p3(X39)
| p4(X39)
| ~ r1(X38,X39) )
| p1(X38)
| p2(X38)
| p3(X38)
| p4(X38)
| ~ r1(sK171,X38) )
| p1(sK171)
| p2(sK171) )
& ( ( sP13(sK178)
& sP12(sK178)
& r1(sK171,sK178) )
| sP14(sK171) )
& ! [X43] :
( ( p1(sK179(X43))
& ~ p1(sK180(X43))
& r1(sK179(X43),sK180(X43))
& r1(X43,sK179(X43)) )
| p1(X43)
| ~ r1(sK171,X43) )
& ~ p1(sK181)
& r1(sK171,sK181)
& ( sP2(sK171)
| ! [X47] :
( ( p5(sK182(X47))
& r1(X47,sK182(X47)) )
| ~ r1(sK171,X47) ) )
& ! [X49] :
( ( p3(sK183(X49))
& ~ p3(sK184(X49))
& r1(sK183(X49),sK184(X49))
& r1(X49,sK183(X49)) )
| p3(X49)
| ~ r1(sK171,X49) )
& ~ p3(sK185)
& r1(sK171,sK185)
& ( ( sP0(sK171)
& ~ p2(sK186)
& r1(sK171,sK186) )
| ! [X54] :
( ~ p5(X54)
| ~ r1(sK171,X54) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK171,sK172,sK173,sK174,sK175,sK176,sK177,sK178,sK179,sK180,sK181,sK182,sK183,sK184,sK185,sK186])],[f394,f410,f409,f408,f407,f406,f405,f404,f403,f402,f401,f400,f399,f398,f397,f396,f395]) ).
fof(f395,plain,
( ? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( sP74(X5)
& ? [X6] : r1(X5,X6)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X7] : ~ r1(X0,X7)
| p1(X0) )
& ( sP73(X0)
| ! [X8] : ~ r1(X0,X8)
| p1(X0)
| p2(X0) )
& ( sP71(X0)
| ! [X9] : ~ r1(X0,X9)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP69(X0)
| ! [X10] : ~ r1(X0,X10)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X11] :
( sP67(X11)
& sP66(X11)
& ~ p1(X11)
& r1(X0,X11) )
| ! [X12] :
( ! [X13] : ~ r1(X12,X13)
| p1(X12)
| p2(X12)
| p3(X12)
| p4(X12)
| ~ r1(X0,X12) )
| p1(X0) )
& ( sP64(X0)
| ! [X14] :
( ! [X15] : ~ r1(X14,X15)
| p1(X14)
| p2(X14)
| p3(X14)
| p4(X14)
| ~ r1(X0,X14) )
| p1(X0)
| p2(X0) )
& ( sP60(X0)
| ! [X16] :
( ! [X17] : ~ r1(X16,X17)
| p1(X16)
| p2(X16)
| p3(X16)
| p4(X16)
| ~ r1(X0,X16) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP56(X0)
| ! [X18] :
( ! [X19] : ~ r1(X18,X19)
| p1(X18)
| p2(X18)
| p3(X18)
| p4(X18)
| ~ r1(X0,X18) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X20] :
( sP52(X20)
& sP51(X20)
& ~ p1(X20)
& r1(X0,X20) )
| ! [X21] :
( ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| p4(X22)
| ~ r1(X21,X22) )
| p1(X21)
| p2(X21)
| p3(X21)
| p4(X21)
| ~ r1(X0,X21) )
| p1(X0) )
& ( sP47(X0)
| ! [X24] :
( ! [X25] :
( ! [X26] : ~ r1(X25,X26)
| p1(X25)
| p2(X25)
| p3(X25)
| p4(X25)
| ~ r1(X24,X25) )
| p1(X24)
| p2(X24)
| p3(X24)
| p4(X24)
| ~ r1(X0,X24) )
| p1(X0)
| p2(X0) )
& ( sP41(X0)
| ! [X27] :
( ! [X28] :
( ! [X29] : ~ r1(X28,X29)
| p1(X28)
| p2(X28)
| p3(X28)
| p4(X28)
| ~ r1(X27,X28) )
| p1(X27)
| p2(X27)
| p3(X27)
| p4(X27)
| ~ r1(X0,X27) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP35(X0)
| ! [X30] :
( ! [X31] :
( ! [X32] : ~ r1(X31,X32)
| p1(X31)
| p2(X31)
| p3(X31)
| p4(X31)
| ~ r1(X30,X31) )
| p1(X30)
| p2(X30)
| p3(X30)
| p4(X30)
| ~ r1(X0,X30) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X33] :
( sP29(X33)
& sP28(X33)
& ~ p1(X33)
& r1(X0,X33) )
| ! [X34] :
( ! [X35] :
( ! [X36] :
( ! [X37] : ~ r1(X36,X37)
| p1(X36)
| p2(X36)
| p3(X36)
| p4(X36)
| ~ r1(X35,X36) )
| p1(X35)
| p2(X35)
| p3(X35)
| p4(X35)
| ~ r1(X34,X35) )
| p1(X34)
| p2(X34)
| p3(X34)
| p4(X34)
| ~ r1(X0,X34) )
| p1(X0) )
& ( sP22(X0)
| ! [X38] :
( ! [X39] :
( ! [X40] :
( ! [X41] : ~ r1(X40,X41)
| p1(X40)
| p2(X40)
| p3(X40)
| p4(X40)
| ~ r1(X39,X40) )
| p1(X39)
| p2(X39)
| p3(X39)
| p4(X39)
| ~ r1(X38,X39) )
| p1(X38)
| p2(X38)
| p3(X38)
| p4(X38)
| ~ r1(X0,X38) )
| p1(X0)
| p2(X0) )
& ( ? [X42] :
( sP13(X42)
& sP12(X42)
& r1(X0,X42) )
| sP14(X0) )
& ! [X43] :
( ? [X44] :
( p1(X44)
& ? [X45] :
( ~ p1(X45)
& r1(X44,X45) )
& r1(X43,X44) )
| p1(X43)
| ~ r1(X0,X43) )
& ? [X46] :
( ~ p1(X46)
& r1(X0,X46) )
& ( sP2(X0)
| ! [X47] :
( ? [X48] :
( p5(X48)
& r1(X47,X48) )
| ~ r1(X0,X47) ) )
& ! [X49] :
( ? [X50] :
( p3(X50)
& ? [X51] :
( ~ p3(X51)
& r1(X50,X51) )
& r1(X49,X50) )
| p3(X49)
| ~ r1(X0,X49) )
& ? [X52] :
( ~ p3(X52)
& r1(X0,X52) )
& ( ( sP0(X0)
& ? [X53] :
( ~ p2(X53)
& r1(X0,X53) ) )
| ! [X54] :
( ~ p5(X54)
| ~ r1(X0,X54) ) ) )
=> ( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(sK171,X1) )
& ( ? [X5] :
( sP74(X5)
& ? [X6] : r1(X5,X6)
& ~ p1(X5)
& r1(sK171,X5) )
| ! [X7] : ~ r1(sK171,X7)
| p1(sK171) )
& ( sP73(sK171)
| ! [X8] : ~ r1(sK171,X8)
| p1(sK171)
| p2(sK171) )
& ( sP71(sK171)
| ! [X9] : ~ r1(sK171,X9)
| p1(sK171)
| p2(sK171)
| p3(sK171) )
& ( sP69(sK171)
| ! [X10] : ~ r1(sK171,X10)
| p1(sK171)
| p2(sK171)
| p3(sK171)
| p4(sK171) )
& ( ? [X11] :
( sP67(X11)
& sP66(X11)
& ~ p1(X11)
& r1(sK171,X11) )
| ! [X12] :
( ! [X13] : ~ r1(X12,X13)
| p1(X12)
| p2(X12)
| p3(X12)
| p4(X12)
| ~ r1(sK171,X12) )
| p1(sK171) )
& ( sP64(sK171)
| ! [X14] :
( ! [X15] : ~ r1(X14,X15)
| p1(X14)
| p2(X14)
| p3(X14)
| p4(X14)
| ~ r1(sK171,X14) )
| p1(sK171)
| p2(sK171) )
& ( sP60(sK171)
| ! [X16] :
( ! [X17] : ~ r1(X16,X17)
| p1(X16)
| p2(X16)
| p3(X16)
| p4(X16)
| ~ r1(sK171,X16) )
| p1(sK171)
| p2(sK171)
| p3(sK171) )
& ( sP56(sK171)
| ! [X18] :
( ! [X19] : ~ r1(X18,X19)
| p1(X18)
| p2(X18)
| p3(X18)
| p4(X18)
| ~ r1(sK171,X18) )
| p1(sK171)
| p2(sK171)
| p3(sK171)
| p4(sK171) )
& ( ? [X20] :
( sP52(X20)
& sP51(X20)
& ~ p1(X20)
& r1(sK171,X20) )
| ! [X21] :
( ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| p4(X22)
| ~ r1(X21,X22) )
| p1(X21)
| p2(X21)
| p3(X21)
| p4(X21)
| ~ r1(sK171,X21) )
| p1(sK171) )
& ( sP47(sK171)
| ! [X24] :
( ! [X25] :
( ! [X26] : ~ r1(X25,X26)
| p1(X25)
| p2(X25)
| p3(X25)
| p4(X25)
| ~ r1(X24,X25) )
| p1(X24)
| p2(X24)
| p3(X24)
| p4(X24)
| ~ r1(sK171,X24) )
| p1(sK171)
| p2(sK171) )
& ( sP41(sK171)
| ! [X27] :
( ! [X28] :
( ! [X29] : ~ r1(X28,X29)
| p1(X28)
| p2(X28)
| p3(X28)
| p4(X28)
| ~ r1(X27,X28) )
| p1(X27)
| p2(X27)
| p3(X27)
| p4(X27)
| ~ r1(sK171,X27) )
| p1(sK171)
| p2(sK171)
| p3(sK171) )
& ( sP35(sK171)
| ! [X30] :
( ! [X31] :
( ! [X32] : ~ r1(X31,X32)
| p1(X31)
| p2(X31)
| p3(X31)
| p4(X31)
| ~ r1(X30,X31) )
| p1(X30)
| p2(X30)
| p3(X30)
| p4(X30)
| ~ r1(sK171,X30) )
| p1(sK171)
| p2(sK171)
| p3(sK171)
| p4(sK171) )
& ( ? [X33] :
( sP29(X33)
& sP28(X33)
& ~ p1(X33)
& r1(sK171,X33) )
| ! [X34] :
( ! [X35] :
( ! [X36] :
( ! [X37] : ~ r1(X36,X37)
| p1(X36)
| p2(X36)
| p3(X36)
| p4(X36)
| ~ r1(X35,X36) )
| p1(X35)
| p2(X35)
| p3(X35)
| p4(X35)
| ~ r1(X34,X35) )
| p1(X34)
| p2(X34)
| p3(X34)
| p4(X34)
| ~ r1(sK171,X34) )
| p1(sK171) )
& ( sP22(sK171)
| ! [X38] :
( ! [X39] :
( ! [X40] :
( ! [X41] : ~ r1(X40,X41)
| p1(X40)
| p2(X40)
| p3(X40)
| p4(X40)
| ~ r1(X39,X40) )
| p1(X39)
| p2(X39)
| p3(X39)
| p4(X39)
| ~ r1(X38,X39) )
| p1(X38)
| p2(X38)
| p3(X38)
| p4(X38)
| ~ r1(sK171,X38) )
| p1(sK171)
| p2(sK171) )
& ( ? [X42] :
( sP13(X42)
& sP12(X42)
& r1(sK171,X42) )
| sP14(sK171) )
& ! [X43] :
( ? [X44] :
( p1(X44)
& ? [X45] :
( ~ p1(X45)
& r1(X44,X45) )
& r1(X43,X44) )
| p1(X43)
| ~ r1(sK171,X43) )
& ? [X46] :
( ~ p1(X46)
& r1(sK171,X46) )
& ( sP2(sK171)
| ! [X47] :
( ? [X48] :
( p5(X48)
& r1(X47,X48) )
| ~ r1(sK171,X47) ) )
& ! [X49] :
( ? [X50] :
( p3(X50)
& ? [X51] :
( ~ p3(X51)
& r1(X50,X51) )
& r1(X49,X50) )
| p3(X49)
| ~ r1(sK171,X49) )
& ? [X52] :
( ~ p3(X52)
& r1(sK171,X52) )
& ( ( sP0(sK171)
& ? [X53] :
( ~ p2(X53)
& r1(sK171,X53) ) )
| ! [X54] :
( ~ p5(X54)
| ~ r1(sK171,X54) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f396,plain,
! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
=> ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK172(X1),X3) )
& ~ p2(sK172(X1))
& r1(X1,sK172(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f397,plain,
( ? [X5] :
( sP74(X5)
& ? [X6] : r1(X5,X6)
& ~ p1(X5)
& r1(sK171,X5) )
=> ( sP74(sK173)
& ? [X6] : r1(sK173,X6)
& ~ p1(sK173)
& r1(sK171,sK173) ) ),
introduced(choice_axiom,[]) ).
fof(f398,plain,
( ? [X6] : r1(sK173,X6)
=> r1(sK173,sK174) ),
introduced(choice_axiom,[]) ).
fof(f399,plain,
( ? [X11] :
( sP67(X11)
& sP66(X11)
& ~ p1(X11)
& r1(sK171,X11) )
=> ( sP67(sK175)
& sP66(sK175)
& ~ p1(sK175)
& r1(sK171,sK175) ) ),
introduced(choice_axiom,[]) ).
fof(f400,plain,
( ? [X20] :
( sP52(X20)
& sP51(X20)
& ~ p1(X20)
& r1(sK171,X20) )
=> ( sP52(sK176)
& sP51(sK176)
& ~ p1(sK176)
& r1(sK171,sK176) ) ),
introduced(choice_axiom,[]) ).
fof(f401,plain,
( ? [X33] :
( sP29(X33)
& sP28(X33)
& ~ p1(X33)
& r1(sK171,X33) )
=> ( sP29(sK177)
& sP28(sK177)
& ~ p1(sK177)
& r1(sK171,sK177) ) ),
introduced(choice_axiom,[]) ).
fof(f402,plain,
( ? [X42] :
( sP13(X42)
& sP12(X42)
& r1(sK171,X42) )
=> ( sP13(sK178)
& sP12(sK178)
& r1(sK171,sK178) ) ),
introduced(choice_axiom,[]) ).
fof(f403,plain,
! [X43] :
( ? [X44] :
( p1(X44)
& ? [X45] :
( ~ p1(X45)
& r1(X44,X45) )
& r1(X43,X44) )
=> ( p1(sK179(X43))
& ? [X45] :
( ~ p1(X45)
& r1(sK179(X43),X45) )
& r1(X43,sK179(X43)) ) ),
introduced(choice_axiom,[]) ).
fof(f404,plain,
! [X43] :
( ? [X45] :
( ~ p1(X45)
& r1(sK179(X43),X45) )
=> ( ~ p1(sK180(X43))
& r1(sK179(X43),sK180(X43)) ) ),
introduced(choice_axiom,[]) ).
fof(f405,plain,
( ? [X46] :
( ~ p1(X46)
& r1(sK171,X46) )
=> ( ~ p1(sK181)
& r1(sK171,sK181) ) ),
introduced(choice_axiom,[]) ).
fof(f406,plain,
! [X47] :
( ? [X48] :
( p5(X48)
& r1(X47,X48) )
=> ( p5(sK182(X47))
& r1(X47,sK182(X47)) ) ),
introduced(choice_axiom,[]) ).
fof(f407,plain,
! [X49] :
( ? [X50] :
( p3(X50)
& ? [X51] :
( ~ p3(X51)
& r1(X50,X51) )
& r1(X49,X50) )
=> ( p3(sK183(X49))
& ? [X51] :
( ~ p3(X51)
& r1(sK183(X49),X51) )
& r1(X49,sK183(X49)) ) ),
introduced(choice_axiom,[]) ).
fof(f408,plain,
! [X49] :
( ? [X51] :
( ~ p3(X51)
& r1(sK183(X49),X51) )
=> ( ~ p3(sK184(X49))
& r1(sK183(X49),sK184(X49)) ) ),
introduced(choice_axiom,[]) ).
fof(f409,plain,
( ? [X52] :
( ~ p3(X52)
& r1(sK171,X52) )
=> ( ~ p3(sK185)
& r1(sK171,sK185) ) ),
introduced(choice_axiom,[]) ).
fof(f410,plain,
( ? [X53] :
( ~ p2(X53)
& r1(sK171,X53) )
=> ( ~ p2(sK186)
& r1(sK171,sK186) ) ),
introduced(choice_axiom,[]) ).
fof(f394,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( sP74(X5)
& ? [X6] : r1(X5,X6)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X7] : ~ r1(X0,X7)
| p1(X0) )
& ( sP73(X0)
| ! [X8] : ~ r1(X0,X8)
| p1(X0)
| p2(X0) )
& ( sP71(X0)
| ! [X9] : ~ r1(X0,X9)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP69(X0)
| ! [X10] : ~ r1(X0,X10)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X11] :
( sP67(X11)
& sP66(X11)
& ~ p1(X11)
& r1(X0,X11) )
| ! [X12] :
( ! [X13] : ~ r1(X12,X13)
| p1(X12)
| p2(X12)
| p3(X12)
| p4(X12)
| ~ r1(X0,X12) )
| p1(X0) )
& ( sP64(X0)
| ! [X14] :
( ! [X15] : ~ r1(X14,X15)
| p1(X14)
| p2(X14)
| p3(X14)
| p4(X14)
| ~ r1(X0,X14) )
| p1(X0)
| p2(X0) )
& ( sP60(X0)
| ! [X16] :
( ! [X17] : ~ r1(X16,X17)
| p1(X16)
| p2(X16)
| p3(X16)
| p4(X16)
| ~ r1(X0,X16) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP56(X0)
| ! [X18] :
( ! [X19] : ~ r1(X18,X19)
| p1(X18)
| p2(X18)
| p3(X18)
| p4(X18)
| ~ r1(X0,X18) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X20] :
( sP52(X20)
& sP51(X20)
& ~ p1(X20)
& r1(X0,X20) )
| ! [X21] :
( ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| p4(X22)
| ~ r1(X21,X22) )
| p1(X21)
| p2(X21)
| p3(X21)
| p4(X21)
| ~ r1(X0,X21) )
| p1(X0) )
& ( sP47(X0)
| ! [X24] :
( ! [X25] :
( ! [X26] : ~ r1(X25,X26)
| p1(X25)
| p2(X25)
| p3(X25)
| p4(X25)
| ~ r1(X24,X25) )
| p1(X24)
| p2(X24)
| p3(X24)
| p4(X24)
| ~ r1(X0,X24) )
| p1(X0)
| p2(X0) )
& ( sP41(X0)
| ! [X27] :
( ! [X28] :
( ! [X29] : ~ r1(X28,X29)
| p1(X28)
| p2(X28)
| p3(X28)
| p4(X28)
| ~ r1(X27,X28) )
| p1(X27)
| p2(X27)
| p3(X27)
| p4(X27)
| ~ r1(X0,X27) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP35(X0)
| ! [X30] :
( ! [X31] :
( ! [X32] : ~ r1(X31,X32)
| p1(X31)
| p2(X31)
| p3(X31)
| p4(X31)
| ~ r1(X30,X31) )
| p1(X30)
| p2(X30)
| p3(X30)
| p4(X30)
| ~ r1(X0,X30) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X33] :
( sP29(X33)
& sP28(X33)
& ~ p1(X33)
& r1(X0,X33) )
| ! [X34] :
( ! [X35] :
( ! [X36] :
( ! [X37] : ~ r1(X36,X37)
| p1(X36)
| p2(X36)
| p3(X36)
| p4(X36)
| ~ r1(X35,X36) )
| p1(X35)
| p2(X35)
| p3(X35)
| p4(X35)
| ~ r1(X34,X35) )
| p1(X34)
| p2(X34)
| p3(X34)
| p4(X34)
| ~ r1(X0,X34) )
| p1(X0) )
& ( sP22(X0)
| ! [X38] :
( ! [X39] :
( ! [X40] :
( ! [X41] : ~ r1(X40,X41)
| p1(X40)
| p2(X40)
| p3(X40)
| p4(X40)
| ~ r1(X39,X40) )
| p1(X39)
| p2(X39)
| p3(X39)
| p4(X39)
| ~ r1(X38,X39) )
| p1(X38)
| p2(X38)
| p3(X38)
| p4(X38)
| ~ r1(X0,X38) )
| p1(X0)
| p2(X0) )
& ( ? [X42] :
( sP13(X42)
& sP12(X42)
& r1(X0,X42) )
| sP14(X0) )
& ! [X43] :
( ? [X44] :
( p1(X44)
& ? [X45] :
( ~ p1(X45)
& r1(X44,X45) )
& r1(X43,X44) )
| p1(X43)
| ~ r1(X0,X43) )
& ? [X46] :
( ~ p1(X46)
& r1(X0,X46) )
& ( sP2(X0)
| ! [X47] :
( ? [X48] :
( p5(X48)
& r1(X47,X48) )
| ~ r1(X0,X47) ) )
& ! [X49] :
( ? [X50] :
( p3(X50)
& ? [X51] :
( ~ p3(X51)
& r1(X50,X51) )
& r1(X49,X50) )
| p3(X49)
| ~ r1(X0,X49) )
& ? [X52] :
( ~ p3(X52)
& r1(X0,X52) )
& ( ( sP0(X0)
& ? [X53] :
( ~ p2(X53)
& r1(X0,X53) ) )
| ! [X54] :
( ~ p5(X54)
| ~ r1(X0,X54) ) ) ),
inference(rectify,[],[f84]) ).
fof(f84,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( sP74(X5)
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( sP73(X0)
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( sP71(X0)
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP69(X0)
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X33] :
( sP67(X33)
& sP66(X33)
& ~ p1(X33)
& r1(X0,X33) )
| ! [X42] :
( ! [X43] : ~ r1(X42,X43)
| p1(X42)
| p2(X42)
| p3(X42)
| p4(X42)
| ~ r1(X0,X42) )
| p1(X0) )
& ( sP64(X0)
| ! [X53] :
( ! [X54] : ~ r1(X53,X54)
| p1(X53)
| p2(X53)
| p3(X53)
| p4(X53)
| ~ r1(X0,X53) )
| p1(X0)
| p2(X0) )
& ( sP60(X0)
| ! [X64] :
( ! [X65] : ~ r1(X64,X65)
| p1(X64)
| p2(X64)
| p3(X64)
| p4(X64)
| ~ r1(X0,X64) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP56(X0)
| ! [X75] :
( ! [X76] : ~ r1(X75,X76)
| p1(X75)
| p2(X75)
| p3(X75)
| p4(X75)
| ~ r1(X0,X75) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X77] :
( sP52(X77)
& sP51(X77)
& ~ p1(X77)
& r1(X0,X77) )
| ! [X89] :
( ! [X90] :
( ! [X91] : ~ r1(X90,X91)
| p1(X90)
| p2(X90)
| p3(X90)
| p4(X90)
| ~ r1(X89,X90) )
| p1(X89)
| p2(X89)
| p3(X89)
| p4(X89)
| ~ r1(X0,X89) )
| p1(X0) )
& ( sP47(X0)
| ! [X104] :
( ! [X105] :
( ! [X106] : ~ r1(X105,X106)
| p1(X105)
| p2(X105)
| p3(X105)
| p4(X105)
| ~ r1(X104,X105) )
| p1(X104)
| p2(X104)
| p3(X104)
| p4(X104)
| ~ r1(X0,X104) )
| p1(X0)
| p2(X0) )
& ( sP41(X0)
| ! [X119] :
( ! [X120] :
( ! [X121] : ~ r1(X120,X121)
| p1(X120)
| p2(X120)
| p3(X120)
| p4(X120)
| ~ r1(X119,X120) )
| p1(X119)
| p2(X119)
| p3(X119)
| p4(X119)
| ~ r1(X0,X119) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP35(X0)
| ! [X134] :
( ! [X135] :
( ! [X136] : ~ r1(X135,X136)
| p1(X135)
| p2(X135)
| p3(X135)
| p4(X135)
| ~ r1(X134,X135) )
| p1(X134)
| p2(X134)
| p3(X134)
| p4(X134)
| ~ r1(X0,X134) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X137] :
( sP29(X137)
& sP28(X137)
& ~ p1(X137)
& r1(X0,X137) )
| ! [X152] :
( ! [X153] :
( ! [X154] :
( ! [X155] : ~ r1(X154,X155)
| p1(X154)
| p2(X154)
| p3(X154)
| p4(X154)
| ~ r1(X153,X154) )
| p1(X153)
| p2(X153)
| p3(X153)
| p4(X153)
| ~ r1(X152,X153) )
| p1(X152)
| p2(X152)
| p3(X152)
| p4(X152)
| ~ r1(X0,X152) )
| p1(X0) )
& ( sP22(X0)
| ! [X171] :
( ! [X172] :
( ! [X173] :
( ! [X174] : ~ r1(X173,X174)
| p1(X173)
| p2(X173)
| p3(X173)
| p4(X173)
| ~ r1(X172,X173) )
| p1(X172)
| p2(X172)
| p3(X172)
| p4(X172)
| ~ r1(X171,X172) )
| p1(X171)
| p2(X171)
| p3(X171)
| p4(X171)
| ~ r1(X0,X171) )
| p1(X0)
| p2(X0) )
& ( ? [X175] :
( sP13(X175)
& sP12(X175)
& r1(X0,X175) )
| sP14(X0) )
& ! [X214] :
( ? [X215] :
( p1(X215)
& ? [X216] :
( ~ p1(X216)
& r1(X215,X216) )
& r1(X214,X215) )
| p1(X214)
| ~ r1(X0,X214) )
& ? [X217] :
( ~ p1(X217)
& r1(X0,X217) )
& ( sP2(X0)
| ! [X222] :
( ? [X223] :
( p5(X223)
& r1(X222,X223) )
| ~ r1(X0,X222) ) )
& ! [X224] :
( ? [X225] :
( p3(X225)
& ? [X226] :
( ~ p3(X226)
& r1(X225,X226) )
& r1(X224,X225) )
| p3(X224)
| ~ r1(X0,X224) )
& ? [X227] :
( ~ p3(X227)
& r1(X0,X227) )
& ( ( sP0(X0)
& ? [X231] :
( ~ p2(X231)
& r1(X0,X231) ) )
| ! [X232] :
( ~ p5(X232)
| ~ r1(X0,X232) ) ) ),
inference(definition_folding,[],[f8,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,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]) ).
fof(f10,plain,
! [X0] :
( ! [X218] :
( ? [X219] :
( p2(X219)
& ? [X220] :
( ~ p2(X220)
& r1(X219,X220) )
& r1(X218,X219) )
| p2(X218)
| ~ r1(X0,X218) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f11,plain,
! [X0] :
( ( sP1(X0)
& ? [X221] :
( ~ p2(X221)
& r1(X0,X221) ) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f12,plain,
! [X0] :
( ! [X210] :
( ! [X211] :
( ? [X212] :
( p2(X212)
& ? [X213] :
( ~ p2(X213)
& r1(X212,X213) )
& r1(X211,X212) )
| p2(X211)
| ~ r1(X210,X211) )
| ~ r1(X0,X210) )
| ~ sP3(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f13,plain,
! [X0] :
( ? [X205] :
( p2(X205)
& ? [X206] :
( ~ p2(X206)
& r1(X205,X206) )
& r1(X0,X205) )
| p2(X0)
| ~ sP4(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f14,plain,
! [X175] :
( ? [X201] :
( ? [X202] :
( ! [X203] :
( ~ p2(X203)
| ! [X204] :
( p2(X204)
| ~ r1(X203,X204) )
| ~ r1(X202,X203) )
& ~ p2(X202)
& r1(X201,X202) )
& r1(X175,X201) )
| ~ sP5(X175) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f15,plain,
! [X175] :
( ! [X198] :
( ? [X199] :
( p2(X199)
& ? [X200] :
( ~ p2(X200)
& r1(X199,X200) )
& r1(X198,X199) )
| p2(X198)
| ~ r1(X175,X198) )
| ~ sP6(X175) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f16,plain,
! [X186] :
( ! [X192] :
( ! [X193] :
( ? [X194] :
( p2(X194)
& ? [X195] :
( ~ p2(X195)
& r1(X194,X195) )
& r1(X193,X194) )
| p2(X193)
| ~ r1(X192,X193) )
| ~ r1(X186,X192) )
| ~ sP7(X186) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f17,plain,
! [X186] :
( ? [X187] :
( p2(X187)
& ? [X188] :
( ~ p2(X188)
& r1(X187,X188) )
& r1(X186,X187) )
| p2(X186)
| ~ sP8(X186) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f18,plain,
! [X176] :
( ? [X182] :
( ? [X183] :
( ! [X184] :
( ~ p2(X184)
| ! [X185] :
( p2(X185)
| ~ r1(X184,X185) )
| ~ r1(X183,X184) )
& ~ p2(X183)
& r1(X182,X183) )
& r1(X176,X182) )
| ~ sP9(X176) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f19,plain,
! [X176] :
( ! [X179] :
( ? [X180] :
( p2(X180)
& ? [X181] :
( ~ p2(X181)
& r1(X180,X181) )
& r1(X179,X180) )
| p2(X179)
| ~ r1(X176,X179) )
| ~ sP10(X176) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f20,plain,
! [X176] :
( ! [X186] :
( ( sP8(X186)
& ( ? [X189] :
( ! [X190] :
( ~ p2(X190)
| ! [X191] :
( p2(X191)
| ~ r1(X190,X191) )
| ~ r1(X189,X190) )
& ~ p2(X189)
& r1(X186,X189) )
| sP7(X186) ) )
| ~ r1(X176,X186) )
| ~ sP11(X176) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f22,plain,
! [X175] :
( ! [X176] :
( ( ! [X177] :
( ~ p2(X177)
| ! [X178] :
( p2(X178)
| ~ r1(X177,X178) )
| ~ r1(X176,X177) )
& ~ p2(X176) )
| ( sP10(X176)
& sP9(X176) )
| sP11(X176)
| ~ r1(X175,X176) )
| ~ sP13(X175) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f23,plain,
! [X0] :
( ( sP4(X0)
& ( ? [X207] :
( ! [X208] :
( ~ p2(X208)
| ! [X209] :
( p2(X209)
| ~ r1(X208,X209) )
| ~ r1(X207,X208) )
& ~ p2(X207)
& r1(X0,X207) )
| sP3(X0) ) )
| ~ sP14(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f24,plain,
! [X168] :
( ? [X169] :
( ? [X170] : r1(X169,X170)
& ~ p1(X169)
& ~ p2(X169)
& ~ p3(X169)
& ~ p4(X169)
& r1(X168,X169) )
| ~ sP15(X168) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f25,plain,
! [X167] :
( ? [X168] :
( sP15(X168)
& ~ p1(X168)
& ~ p2(X168)
& ~ p3(X168)
& ~ p4(X168)
& r1(X167,X168) )
| ~ sP16(X167) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f26,plain,
! [X159] :
( ? [X160] :
( ? [X161] : r1(X160,X161)
& ~ p1(X160)
& ~ p2(X160)
& ~ p3(X160)
& ~ p4(X160)
& r1(X159,X160) )
| ~ sP17(X159) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f27,plain,
! [X158] :
( ? [X159] :
( sP17(X159)
& ~ p1(X159)
& ~ p2(X159)
& ~ p3(X159)
& ~ p4(X159)
& r1(X158,X159) )
| ~ sP18(X158) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f28,plain,
! [X157] :
( ? [X158] :
( sP18(X158)
& ~ p1(X158)
& ~ p2(X158)
& ~ p3(X158)
& ~ p4(X158)
& r1(X157,X158) )
| ~ sP19(X157) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f29,plain,
! [X156] :
( ? [X167] :
( sP16(X167)
& ~ p1(X167)
& ~ p2(X167)
& ~ p3(X167)
& ~ p4(X167)
& r1(X156,X167) )
| ~ sP20(X156) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f30,plain,
! [X156] :
( ! [X157] :
( ( sP19(X157)
& ~ p1(X157)
& ~ p2(X157) )
| ! [X162] :
( ! [X163] :
( ! [X164] :
( ! [X165] :
( ! [X166] : ~ r1(X165,X166)
| p1(X165)
| p2(X165)
| p3(X165)
| p4(X165)
| ~ r1(X164,X165) )
| p1(X164)
| p2(X164)
| p3(X164)
| p4(X164)
| ~ r1(X163,X164) )
| p1(X163)
| p2(X163)
| p3(X163)
| p4(X163)
| ~ r1(X162,X163) )
| p1(X162)
| p2(X162)
| ~ r1(X157,X162) )
| ~ r1(X156,X157) )
| ~ sP21(X156) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f31,plain,
! [X0] :
( ? [X156] :
( sP21(X156)
& sP20(X156)
& ~ p1(X156)
& ~ p2(X156)
& r1(X0,X156) )
| ~ sP22(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f32,plain,
! [X149] :
( ? [X150] :
( ? [X151] : r1(X150,X151)
& ~ p1(X150)
& ~ p2(X150)
& ~ p3(X150)
& ~ p4(X150)
& r1(X149,X150) )
| ~ sP23(X149) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f33,plain,
! [X148] :
( ? [X149] :
( sP23(X149)
& ~ p1(X149)
& ~ p2(X149)
& ~ p3(X149)
& ~ p4(X149)
& r1(X148,X149) )
| ~ sP24(X148) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f34,plain,
! [X140] :
( ? [X141] :
( ? [X142] : r1(X141,X142)
& ~ p1(X141)
& ~ p2(X141)
& ~ p3(X141)
& ~ p4(X141)
& r1(X140,X141) )
| ~ sP25(X140) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f35,plain,
! [X139] :
( ? [X140] :
( sP25(X140)
& ~ p1(X140)
& ~ p2(X140)
& ~ p3(X140)
& ~ p4(X140)
& r1(X139,X140) )
| ~ sP26(X139) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f36,plain,
! [X138] :
( ? [X139] :
( sP26(X139)
& ~ p1(X139)
& ~ p2(X139)
& ~ p3(X139)
& ~ p4(X139)
& r1(X138,X139) )
| ~ sP27(X138) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f37,plain,
! [X137] :
( ? [X148] :
( sP24(X148)
& ~ p1(X148)
& ~ p2(X148)
& ~ p3(X148)
& ~ p4(X148)
& r1(X137,X148) )
| ~ sP28(X137) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f38,plain,
! [X137] :
( ! [X138] :
( ( sP27(X138)
& ~ p1(X138) )
| ! [X143] :
( ! [X144] :
( ! [X145] :
( ! [X146] :
( ! [X147] : ~ r1(X146,X147)
| p1(X146)
| p2(X146)
| p3(X146)
| p4(X146)
| ~ r1(X145,X146) )
| p1(X145)
| p2(X145)
| p3(X145)
| p4(X145)
| ~ r1(X144,X145) )
| p1(X144)
| p2(X144)
| p3(X144)
| p4(X144)
| ~ r1(X143,X144) )
| p1(X143)
| ~ r1(X138,X143) )
| ~ r1(X137,X138) )
| ~ sP29(X137) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f39,plain,
! [X131] :
( ? [X132] :
( ? [X133] : r1(X132,X133)
& ~ p1(X132)
& ~ p2(X132)
& ~ p3(X132)
& ~ p4(X132)
& r1(X131,X132) )
| ~ sP30(X131) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f40,plain,
! [X124] :
( ? [X125] :
( ? [X126] : r1(X125,X126)
& ~ p1(X125)
& ~ p2(X125)
& ~ p3(X125)
& ~ p4(X125)
& r1(X124,X125) )
| ~ sP31(X124) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f41,plain,
! [X123] :
( ? [X124] :
( sP31(X124)
& ~ p1(X124)
& ~ p2(X124)
& ~ p3(X124)
& ~ p4(X124)
& r1(X123,X124) )
| ~ sP32(X123) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f42,plain,
! [X123] :
( ( sP32(X123)
& ~ p1(X123)
& ~ p2(X123)
& ~ p3(X123)
& ~ p4(X123) )
| ~ sP33(X123) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f43,plain,
! [X122] :
( ? [X131] :
( sP30(X131)
& ~ p1(X131)
& ~ p2(X131)
& ~ p3(X131)
& ~ p4(X131)
& r1(X122,X131) )
| ~ sP34(X122) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f44,plain,
! [X0] :
( ? [X122] :
( ! [X123] :
( sP33(X123)
| ! [X127] :
( ! [X128] :
( ! [X129] :
( ! [X130] : ~ r1(X129,X130)
| p1(X129)
| p2(X129)
| p3(X129)
| p4(X129)
| ~ r1(X128,X129) )
| p1(X128)
| p2(X128)
| p3(X128)
| p4(X128)
| ~ r1(X127,X128) )
| p1(X127)
| p2(X127)
| p3(X127)
| p4(X127)
| ~ r1(X123,X127) )
| ~ r1(X122,X123) )
& sP34(X122)
& ~ p1(X122)
& ~ p2(X122)
& ~ p3(X122)
& ~ p4(X122)
& r1(X0,X122) )
| ~ sP35(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f45,plain,
! [X116] :
( ? [X117] :
( ? [X118] : r1(X117,X118)
& ~ p1(X117)
& ~ p2(X117)
& ~ p3(X117)
& ~ p4(X117)
& r1(X116,X117) )
| ~ sP36(X116) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f46,plain,
! [X109] :
( ? [X110] :
( ? [X111] : r1(X110,X111)
& ~ p1(X110)
& ~ p2(X110)
& ~ p3(X110)
& ~ p4(X110)
& r1(X109,X110) )
| ~ sP37(X109) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f47,plain,
! [X108] :
( ? [X109] :
( sP37(X109)
& ~ p1(X109)
& ~ p2(X109)
& ~ p3(X109)
& ~ p4(X109)
& r1(X108,X109) )
| ~ sP38(X108) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f48,plain,
! [X107] :
( ? [X116] :
( sP36(X116)
& ~ p1(X116)
& ~ p2(X116)
& ~ p3(X116)
& ~ p4(X116)
& r1(X107,X116) )
| ~ sP39(X107) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f49,plain,
! [X107] :
( ! [X108] :
( ( sP38(X108)
& ~ p1(X108)
& ~ p2(X108)
& ~ p3(X108) )
| ! [X112] :
( ! [X113] :
( ! [X114] :
( ! [X115] : ~ r1(X114,X115)
| p1(X114)
| p2(X114)
| p3(X114)
| p4(X114)
| ~ r1(X113,X114) )
| p1(X113)
| p2(X113)
| p3(X113)
| p4(X113)
| ~ r1(X112,X113) )
| p1(X112)
| p2(X112)
| p3(X112)
| ~ r1(X108,X112) )
| ~ r1(X107,X108) )
| ~ sP40(X107) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f50,plain,
! [X0] :
( ? [X107] :
( sP40(X107)
& sP39(X107)
& ~ p1(X107)
& ~ p2(X107)
& ~ p3(X107)
& r1(X0,X107) )
| ~ sP41(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f51,plain,
! [X101] :
( ? [X102] :
( ? [X103] : r1(X102,X103)
& ~ p1(X102)
& ~ p2(X102)
& ~ p3(X102)
& ~ p4(X102)
& r1(X101,X102) )
| ~ sP42(X101) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f52,plain,
! [X94] :
( ? [X95] :
( ? [X96] : r1(X95,X96)
& ~ p1(X95)
& ~ p2(X95)
& ~ p3(X95)
& ~ p4(X95)
& r1(X94,X95) )
| ~ sP43(X94) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f53,plain,
! [X93] :
( ? [X94] :
( sP43(X94)
& ~ p1(X94)
& ~ p2(X94)
& ~ p3(X94)
& ~ p4(X94)
& r1(X93,X94) )
| ~ sP44(X93) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f54,plain,
! [X92] :
( ? [X101] :
( sP42(X101)
& ~ p1(X101)
& ~ p2(X101)
& ~ p3(X101)
& ~ p4(X101)
& r1(X92,X101) )
| ~ sP45(X92) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f55,plain,
! [X92] :
( ! [X93] :
( ( sP44(X93)
& ~ p1(X93)
& ~ p2(X93) )
| ! [X97] :
( ! [X98] :
( ! [X99] :
( ! [X100] : ~ r1(X99,X100)
| p1(X99)
| p2(X99)
| p3(X99)
| p4(X99)
| ~ r1(X98,X99) )
| p1(X98)
| p2(X98)
| p3(X98)
| p4(X98)
| ~ r1(X97,X98) )
| p1(X97)
| p2(X97)
| ~ r1(X93,X97) )
| ~ r1(X92,X93) )
| ~ sP46(X92) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f56,plain,
! [X0] :
( ? [X92] :
( sP46(X92)
& sP45(X92)
& ~ p1(X92)
& ~ p2(X92)
& r1(X0,X92) )
| ~ sP47(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f57,plain,
! [X86] :
( ? [X87] :
( ? [X88] : r1(X87,X88)
& ~ p1(X87)
& ~ p2(X87)
& ~ p3(X87)
& ~ p4(X87)
& r1(X86,X87) )
| ~ sP48(X86) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f58,plain,
! [X79] :
( ? [X80] :
( ? [X81] : r1(X80,X81)
& ~ p1(X80)
& ~ p2(X80)
& ~ p3(X80)
& ~ p4(X80)
& r1(X79,X80) )
| ~ sP49(X79) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f59,plain,
! [X78] :
( ? [X79] :
( sP49(X79)
& ~ p1(X79)
& ~ p2(X79)
& ~ p3(X79)
& ~ p4(X79)
& r1(X78,X79) )
| ~ sP50(X78) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f60,plain,
! [X77] :
( ? [X86] :
( sP48(X86)
& ~ p1(X86)
& ~ p2(X86)
& ~ p3(X86)
& ~ p4(X86)
& r1(X77,X86) )
| ~ sP51(X77) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f61,plain,
! [X77] :
( ! [X78] :
( ( sP50(X78)
& ~ p1(X78) )
| ! [X82] :
( ! [X83] :
( ! [X84] :
( ! [X85] : ~ r1(X84,X85)
| p1(X84)
| p2(X84)
| p3(X84)
| p4(X84)
| ~ r1(X83,X84) )
| p1(X83)
| p2(X83)
| p3(X83)
| p4(X83)
| ~ r1(X82,X83) )
| p1(X82)
| ~ r1(X78,X82) )
| ~ r1(X77,X78) )
| ~ sP52(X77) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f62,plain,
! [X67] :
( ? [X68] :
( ? [X69] : r1(X68,X69)
& ~ p1(X68)
& ~ p2(X68)
& ~ p3(X68)
& ~ p4(X68)
& r1(X67,X68) )
| ~ sP53(X67) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f63,plain,
! [X67] :
( ( sP53(X67)
& ~ p1(X67)
& ~ p2(X67)
& ~ p3(X67)
& ~ p4(X67) )
| ~ sP54(X67) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f64,plain,
! [X66] :
( ? [X73] :
( ? [X74] : r1(X73,X74)
& ~ p1(X73)
& ~ p2(X73)
& ~ p3(X73)
& ~ p4(X73)
& r1(X66,X73) )
| ~ sP55(X66) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f65,plain,
! [X0] :
( ? [X66] :
( ! [X67] :
( sP54(X67)
| ! [X70] :
( ! [X71] :
( ! [X72] : ~ r1(X71,X72)
| p1(X71)
| p2(X71)
| p3(X71)
| p4(X71)
| ~ r1(X70,X71) )
| p1(X70)
| p2(X70)
| p3(X70)
| p4(X70)
| ~ r1(X67,X70) )
| ~ r1(X66,X67) )
& sP55(X66)
& ~ p1(X66)
& ~ p2(X66)
& ~ p3(X66)
& ~ p4(X66)
& r1(X0,X66) )
| ~ sP56(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f66,plain,
! [X56] :
( ? [X57] :
( ? [X58] : r1(X57,X58)
& ~ p1(X57)
& ~ p2(X57)
& ~ p3(X57)
& ~ p4(X57)
& r1(X56,X57) )
| ~ sP57(X56) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f67,plain,
! [X55] :
( ? [X62] :
( ? [X63] : r1(X62,X63)
& ~ p1(X62)
& ~ p2(X62)
& ~ p3(X62)
& ~ p4(X62)
& r1(X55,X62) )
| ~ sP58(X55) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f68,plain,
! [X55] :
( ! [X56] :
( ( sP57(X56)
& ~ p1(X56)
& ~ p2(X56)
& ~ p3(X56) )
| ! [X59] :
( ! [X60] :
( ! [X61] : ~ r1(X60,X61)
| p1(X60)
| p2(X60)
| p3(X60)
| p4(X60)
| ~ r1(X59,X60) )
| p1(X59)
| p2(X59)
| p3(X59)
| ~ r1(X56,X59) )
| ~ r1(X55,X56) )
| ~ sP59(X55) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f69,plain,
! [X0] :
( ? [X55] :
( sP59(X55)
& sP58(X55)
& ~ p1(X55)
& ~ p2(X55)
& ~ p3(X55)
& r1(X0,X55) )
| ~ sP60(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f70,plain,
! [X45] :
( ? [X46] :
( ? [X47] : r1(X46,X47)
& ~ p1(X46)
& ~ p2(X46)
& ~ p3(X46)
& ~ p4(X46)
& r1(X45,X46) )
| ~ sP61(X45) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f71,plain,
! [X44] :
( ? [X51] :
( ? [X52] : r1(X51,X52)
& ~ p1(X51)
& ~ p2(X51)
& ~ p3(X51)
& ~ p4(X51)
& r1(X44,X51) )
| ~ sP62(X44) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f72,plain,
! [X44] :
( ! [X45] :
( ( sP61(X45)
& ~ p1(X45)
& ~ p2(X45) )
| ! [X48] :
( ! [X49] :
( ! [X50] : ~ r1(X49,X50)
| p1(X49)
| p2(X49)
| p3(X49)
| p4(X49)
| ~ r1(X48,X49) )
| p1(X48)
| p2(X48)
| ~ r1(X45,X48) )
| ~ r1(X44,X45) )
| ~ sP63(X44) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f73,plain,
! [X0] :
( ? [X44] :
( sP63(X44)
& sP62(X44)
& ~ p1(X44)
& ~ p2(X44)
& r1(X0,X44) )
| ~ sP64(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f74,plain,
! [X34] :
( ? [X35] :
( ? [X36] : r1(X35,X36)
& ~ p1(X35)
& ~ p2(X35)
& ~ p3(X35)
& ~ p4(X35)
& r1(X34,X35) )
| ~ sP65(X34) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f75,plain,
! [X33] :
( ? [X40] :
( ? [X41] : r1(X40,X41)
& ~ p1(X40)
& ~ p2(X40)
& ~ p3(X40)
& ~ p4(X40)
& r1(X33,X40) )
| ~ sP66(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).
fof(f76,plain,
! [X33] :
( ! [X34] :
( ( sP65(X34)
& ~ p1(X34) )
| ! [X37] :
( ! [X38] :
( ! [X39] : ~ r1(X38,X39)
| p1(X38)
| p2(X38)
| p3(X38)
| p4(X38)
| ~ r1(X37,X38) )
| p1(X37)
| ~ r1(X34,X37) )
| ~ r1(X33,X34) )
| ~ sP67(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).
fof(f77,plain,
! [X27] :
( ( ? [X28] : r1(X27,X28)
& ~ p1(X27)
& ~ p2(X27)
& ~ p3(X27)
& ~ p4(X27) )
| ~ sP68(X27) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).
fof(f78,plain,
! [X0] :
( ? [X26] :
( ! [X27] :
( sP68(X27)
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
& ? [X31] : r1(X26,X31)
& ~ p1(X26)
& ~ p2(X26)
& ~ p3(X26)
& ~ p4(X26)
& r1(X0,X26) )
| ~ sP69(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).
fof(f79,plain,
! [X19] :
( ! [X20] :
( ( ? [X21] : r1(X20,X21)
& ~ p1(X20)
& ~ p2(X20)
& ~ p3(X20) )
| ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
| ~ sP70(X19) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).
fof(f80,plain,
! [X0] :
( ? [X19] :
( sP70(X19)
& ? [X24] : r1(X19,X24)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(X0,X19) )
| ~ sP71(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).
fof(f81,plain,
! [X12] :
( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
| ~ sP72(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).
fof(f82,plain,
! [X0] :
( ? [X12] :
( sP72(X12)
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(X0,X12) )
| ~ sP73(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).
fof(f83,plain,
! [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ~ sP74(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).
fof(f8,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ? [X12] :
( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ? [X19] :
( ! [X20] :
( ( ? [X21] : r1(X20,X21)
& ~ p1(X20)
& ~ p2(X20)
& ~ p3(X20) )
| ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
& ? [X24] : r1(X19,X24)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(X0,X19) )
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X26] :
( ! [X27] :
( ( ? [X28] : r1(X27,X28)
& ~ p1(X27)
& ~ p2(X27)
& ~ p3(X27)
& ~ p4(X27) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
& ? [X31] : r1(X26,X31)
& ~ p1(X26)
& ~ p2(X26)
& ~ p3(X26)
& ~ p4(X26)
& r1(X0,X26) )
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X33] :
( ! [X34] :
( ( ? [X35] :
( ? [X36] : r1(X35,X36)
& ~ p1(X35)
& ~ p2(X35)
& ~ p3(X35)
& ~ p4(X35)
& r1(X34,X35) )
& ~ p1(X34) )
| ! [X37] :
( ! [X38] :
( ! [X39] : ~ r1(X38,X39)
| p1(X38)
| p2(X38)
| p3(X38)
| p4(X38)
| ~ r1(X37,X38) )
| p1(X37)
| ~ r1(X34,X37) )
| ~ r1(X33,X34) )
& ? [X40] :
( ? [X41] : r1(X40,X41)
& ~ p1(X40)
& ~ p2(X40)
& ~ p3(X40)
& ~ p4(X40)
& r1(X33,X40) )
& ~ p1(X33)
& r1(X0,X33) )
| ! [X42] :
( ! [X43] : ~ r1(X42,X43)
| p1(X42)
| p2(X42)
| p3(X42)
| p4(X42)
| ~ r1(X0,X42) )
| p1(X0) )
& ( ? [X44] :
( ! [X45] :
( ( ? [X46] :
( ? [X47] : r1(X46,X47)
& ~ p1(X46)
& ~ p2(X46)
& ~ p3(X46)
& ~ p4(X46)
& r1(X45,X46) )
& ~ p1(X45)
& ~ p2(X45) )
| ! [X48] :
( ! [X49] :
( ! [X50] : ~ r1(X49,X50)
| p1(X49)
| p2(X49)
| p3(X49)
| p4(X49)
| ~ r1(X48,X49) )
| p1(X48)
| p2(X48)
| ~ r1(X45,X48) )
| ~ r1(X44,X45) )
& ? [X51] :
( ? [X52] : r1(X51,X52)
& ~ p1(X51)
& ~ p2(X51)
& ~ p3(X51)
& ~ p4(X51)
& r1(X44,X51) )
& ~ p1(X44)
& ~ p2(X44)
& r1(X0,X44) )
| ! [X53] :
( ! [X54] : ~ r1(X53,X54)
| p1(X53)
| p2(X53)
| p3(X53)
| p4(X53)
| ~ r1(X0,X53) )
| p1(X0)
| p2(X0) )
& ( ? [X55] :
( ! [X56] :
( ( ? [X57] :
( ? [X58] : r1(X57,X58)
& ~ p1(X57)
& ~ p2(X57)
& ~ p3(X57)
& ~ p4(X57)
& r1(X56,X57) )
& ~ p1(X56)
& ~ p2(X56)
& ~ p3(X56) )
| ! [X59] :
( ! [X60] :
( ! [X61] : ~ r1(X60,X61)
| p1(X60)
| p2(X60)
| p3(X60)
| p4(X60)
| ~ r1(X59,X60) )
| p1(X59)
| p2(X59)
| p3(X59)
| ~ r1(X56,X59) )
| ~ r1(X55,X56) )
& ? [X62] :
( ? [X63] : r1(X62,X63)
& ~ p1(X62)
& ~ p2(X62)
& ~ p3(X62)
& ~ p4(X62)
& r1(X55,X62) )
& ~ p1(X55)
& ~ p2(X55)
& ~ p3(X55)
& r1(X0,X55) )
| ! [X64] :
( ! [X65] : ~ r1(X64,X65)
| p1(X64)
| p2(X64)
| p3(X64)
| p4(X64)
| ~ r1(X0,X64) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X66] :
( ! [X67] :
( ( ? [X68] :
( ? [X69] : r1(X68,X69)
& ~ p1(X68)
& ~ p2(X68)
& ~ p3(X68)
& ~ p4(X68)
& r1(X67,X68) )
& ~ p1(X67)
& ~ p2(X67)
& ~ p3(X67)
& ~ p4(X67) )
| ! [X70] :
( ! [X71] :
( ! [X72] : ~ r1(X71,X72)
| p1(X71)
| p2(X71)
| p3(X71)
| p4(X71)
| ~ r1(X70,X71) )
| p1(X70)
| p2(X70)
| p3(X70)
| p4(X70)
| ~ r1(X67,X70) )
| ~ r1(X66,X67) )
& ? [X73] :
( ? [X74] : r1(X73,X74)
& ~ p1(X73)
& ~ p2(X73)
& ~ p3(X73)
& ~ p4(X73)
& r1(X66,X73) )
& ~ p1(X66)
& ~ p2(X66)
& ~ p3(X66)
& ~ p4(X66)
& r1(X0,X66) )
| ! [X75] :
( ! [X76] : ~ r1(X75,X76)
| p1(X75)
| p2(X75)
| p3(X75)
| p4(X75)
| ~ r1(X0,X75) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X77] :
( ! [X78] :
( ( ? [X79] :
( ? [X80] :
( ? [X81] : r1(X80,X81)
& ~ p1(X80)
& ~ p2(X80)
& ~ p3(X80)
& ~ p4(X80)
& r1(X79,X80) )
& ~ p1(X79)
& ~ p2(X79)
& ~ p3(X79)
& ~ p4(X79)
& r1(X78,X79) )
& ~ p1(X78) )
| ! [X82] :
( ! [X83] :
( ! [X84] :
( ! [X85] : ~ r1(X84,X85)
| p1(X84)
| p2(X84)
| p3(X84)
| p4(X84)
| ~ r1(X83,X84) )
| p1(X83)
| p2(X83)
| p3(X83)
| p4(X83)
| ~ r1(X82,X83) )
| p1(X82)
| ~ r1(X78,X82) )
| ~ r1(X77,X78) )
& ? [X86] :
( ? [X87] :
( ? [X88] : r1(X87,X88)
& ~ p1(X87)
& ~ p2(X87)
& ~ p3(X87)
& ~ p4(X87)
& r1(X86,X87) )
& ~ p1(X86)
& ~ p2(X86)
& ~ p3(X86)
& ~ p4(X86)
& r1(X77,X86) )
& ~ p1(X77)
& r1(X0,X77) )
| ! [X89] :
( ! [X90] :
( ! [X91] : ~ r1(X90,X91)
| p1(X90)
| p2(X90)
| p3(X90)
| p4(X90)
| ~ r1(X89,X90) )
| p1(X89)
| p2(X89)
| p3(X89)
| p4(X89)
| ~ r1(X0,X89) )
| p1(X0) )
& ( ? [X92] :
( ! [X93] :
( ( ? [X94] :
( ? [X95] :
( ? [X96] : r1(X95,X96)
& ~ p1(X95)
& ~ p2(X95)
& ~ p3(X95)
& ~ p4(X95)
& r1(X94,X95) )
& ~ p1(X94)
& ~ p2(X94)
& ~ p3(X94)
& ~ p4(X94)
& r1(X93,X94) )
& ~ p1(X93)
& ~ p2(X93) )
| ! [X97] :
( ! [X98] :
( ! [X99] :
( ! [X100] : ~ r1(X99,X100)
| p1(X99)
| p2(X99)
| p3(X99)
| p4(X99)
| ~ r1(X98,X99) )
| p1(X98)
| p2(X98)
| p3(X98)
| p4(X98)
| ~ r1(X97,X98) )
| p1(X97)
| p2(X97)
| ~ r1(X93,X97) )
| ~ r1(X92,X93) )
& ? [X101] :
( ? [X102] :
( ? [X103] : r1(X102,X103)
& ~ p1(X102)
& ~ p2(X102)
& ~ p3(X102)
& ~ p4(X102)
& r1(X101,X102) )
& ~ p1(X101)
& ~ p2(X101)
& ~ p3(X101)
& ~ p4(X101)
& r1(X92,X101) )
& ~ p1(X92)
& ~ p2(X92)
& r1(X0,X92) )
| ! [X104] :
( ! [X105] :
( ! [X106] : ~ r1(X105,X106)
| p1(X105)
| p2(X105)
| p3(X105)
| p4(X105)
| ~ r1(X104,X105) )
| p1(X104)
| p2(X104)
| p3(X104)
| p4(X104)
| ~ r1(X0,X104) )
| p1(X0)
| p2(X0) )
& ( ? [X107] :
( ! [X108] :
( ( ? [X109] :
( ? [X110] :
( ? [X111] : r1(X110,X111)
& ~ p1(X110)
& ~ p2(X110)
& ~ p3(X110)
& ~ p4(X110)
& r1(X109,X110) )
& ~ p1(X109)
& ~ p2(X109)
& ~ p3(X109)
& ~ p4(X109)
& r1(X108,X109) )
& ~ p1(X108)
& ~ p2(X108)
& ~ p3(X108) )
| ! [X112] :
( ! [X113] :
( ! [X114] :
( ! [X115] : ~ r1(X114,X115)
| p1(X114)
| p2(X114)
| p3(X114)
| p4(X114)
| ~ r1(X113,X114) )
| p1(X113)
| p2(X113)
| p3(X113)
| p4(X113)
| ~ r1(X112,X113) )
| p1(X112)
| p2(X112)
| p3(X112)
| ~ r1(X108,X112) )
| ~ r1(X107,X108) )
& ? [X116] :
( ? [X117] :
( ? [X118] : r1(X117,X118)
& ~ p1(X117)
& ~ p2(X117)
& ~ p3(X117)
& ~ p4(X117)
& r1(X116,X117) )
& ~ p1(X116)
& ~ p2(X116)
& ~ p3(X116)
& ~ p4(X116)
& r1(X107,X116) )
& ~ p1(X107)
& ~ p2(X107)
& ~ p3(X107)
& r1(X0,X107) )
| ! [X119] :
( ! [X120] :
( ! [X121] : ~ r1(X120,X121)
| p1(X120)
| p2(X120)
| p3(X120)
| p4(X120)
| ~ r1(X119,X120) )
| p1(X119)
| p2(X119)
| p3(X119)
| p4(X119)
| ~ r1(X0,X119) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X122] :
( ! [X123] :
( ( ? [X124] :
( ? [X125] :
( ? [X126] : r1(X125,X126)
& ~ p1(X125)
& ~ p2(X125)
& ~ p3(X125)
& ~ p4(X125)
& r1(X124,X125) )
& ~ p1(X124)
& ~ p2(X124)
& ~ p3(X124)
& ~ p4(X124)
& r1(X123,X124) )
& ~ p1(X123)
& ~ p2(X123)
& ~ p3(X123)
& ~ p4(X123) )
| ! [X127] :
( ! [X128] :
( ! [X129] :
( ! [X130] : ~ r1(X129,X130)
| p1(X129)
| p2(X129)
| p3(X129)
| p4(X129)
| ~ r1(X128,X129) )
| p1(X128)
| p2(X128)
| p3(X128)
| p4(X128)
| ~ r1(X127,X128) )
| p1(X127)
| p2(X127)
| p3(X127)
| p4(X127)
| ~ r1(X123,X127) )
| ~ r1(X122,X123) )
& ? [X131] :
( ? [X132] :
( ? [X133] : r1(X132,X133)
& ~ p1(X132)
& ~ p2(X132)
& ~ p3(X132)
& ~ p4(X132)
& r1(X131,X132) )
& ~ p1(X131)
& ~ p2(X131)
& ~ p3(X131)
& ~ p4(X131)
& r1(X122,X131) )
& ~ p1(X122)
& ~ p2(X122)
& ~ p3(X122)
& ~ p4(X122)
& r1(X0,X122) )
| ! [X134] :
( ! [X135] :
( ! [X136] : ~ r1(X135,X136)
| p1(X135)
| p2(X135)
| p3(X135)
| p4(X135)
| ~ r1(X134,X135) )
| p1(X134)
| p2(X134)
| p3(X134)
| p4(X134)
| ~ r1(X0,X134) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X137] :
( ! [X138] :
( ( ? [X139] :
( ? [X140] :
( ? [X141] :
( ? [X142] : r1(X141,X142)
& ~ p1(X141)
& ~ p2(X141)
& ~ p3(X141)
& ~ p4(X141)
& r1(X140,X141) )
& ~ p1(X140)
& ~ p2(X140)
& ~ p3(X140)
& ~ p4(X140)
& r1(X139,X140) )
& ~ p1(X139)
& ~ p2(X139)
& ~ p3(X139)
& ~ p4(X139)
& r1(X138,X139) )
& ~ p1(X138) )
| ! [X143] :
( ! [X144] :
( ! [X145] :
( ! [X146] :
( ! [X147] : ~ r1(X146,X147)
| p1(X146)
| p2(X146)
| p3(X146)
| p4(X146)
| ~ r1(X145,X146) )
| p1(X145)
| p2(X145)
| p3(X145)
| p4(X145)
| ~ r1(X144,X145) )
| p1(X144)
| p2(X144)
| p3(X144)
| p4(X144)
| ~ r1(X143,X144) )
| p1(X143)
| ~ r1(X138,X143) )
| ~ r1(X137,X138) )
& ? [X148] :
( ? [X149] :
( ? [X150] :
( ? [X151] : r1(X150,X151)
& ~ p1(X150)
& ~ p2(X150)
& ~ p3(X150)
& ~ p4(X150)
& r1(X149,X150) )
& ~ p1(X149)
& ~ p2(X149)
& ~ p3(X149)
& ~ p4(X149)
& r1(X148,X149) )
& ~ p1(X148)
& ~ p2(X148)
& ~ p3(X148)
& ~ p4(X148)
& r1(X137,X148) )
& ~ p1(X137)
& r1(X0,X137) )
| ! [X152] :
( ! [X153] :
( ! [X154] :
( ! [X155] : ~ r1(X154,X155)
| p1(X154)
| p2(X154)
| p3(X154)
| p4(X154)
| ~ r1(X153,X154) )
| p1(X153)
| p2(X153)
| p3(X153)
| p4(X153)
| ~ r1(X152,X153) )
| p1(X152)
| p2(X152)
| p3(X152)
| p4(X152)
| ~ r1(X0,X152) )
| p1(X0) )
& ( ? [X156] :
( ! [X157] :
( ( ? [X158] :
( ? [X159] :
( ? [X160] :
( ? [X161] : r1(X160,X161)
& ~ p1(X160)
& ~ p2(X160)
& ~ p3(X160)
& ~ p4(X160)
& r1(X159,X160) )
& ~ p1(X159)
& ~ p2(X159)
& ~ p3(X159)
& ~ p4(X159)
& r1(X158,X159) )
& ~ p1(X158)
& ~ p2(X158)
& ~ p3(X158)
& ~ p4(X158)
& r1(X157,X158) )
& ~ p1(X157)
& ~ p2(X157) )
| ! [X162] :
( ! [X163] :
( ! [X164] :
( ! [X165] :
( ! [X166] : ~ r1(X165,X166)
| p1(X165)
| p2(X165)
| p3(X165)
| p4(X165)
| ~ r1(X164,X165) )
| p1(X164)
| p2(X164)
| p3(X164)
| p4(X164)
| ~ r1(X163,X164) )
| p1(X163)
| p2(X163)
| p3(X163)
| p4(X163)
| ~ r1(X162,X163) )
| p1(X162)
| p2(X162)
| ~ r1(X157,X162) )
| ~ r1(X156,X157) )
& ? [X167] :
( ? [X168] :
( ? [X169] :
( ? [X170] : r1(X169,X170)
& ~ p1(X169)
& ~ p2(X169)
& ~ p3(X169)
& ~ p4(X169)
& r1(X168,X169) )
& ~ p1(X168)
& ~ p2(X168)
& ~ p3(X168)
& ~ p4(X168)
& r1(X167,X168) )
& ~ p1(X167)
& ~ p2(X167)
& ~ p3(X167)
& ~ p4(X167)
& r1(X156,X167) )
& ~ p1(X156)
& ~ p2(X156)
& r1(X0,X156) )
| ! [X171] :
( ! [X172] :
( ! [X173] :
( ! [X174] : ~ r1(X173,X174)
| p1(X173)
| p2(X173)
| p3(X173)
| p4(X173)
| ~ r1(X172,X173) )
| p1(X172)
| p2(X172)
| p3(X172)
| p4(X172)
| ~ r1(X171,X172) )
| p1(X171)
| p2(X171)
| p3(X171)
| p4(X171)
| ~ r1(X0,X171) )
| p1(X0)
| p2(X0) )
& ( ? [X175] :
( ! [X176] :
( ( ! [X177] :
( ~ p2(X177)
| ! [X178] :
( p2(X178)
| ~ r1(X177,X178) )
| ~ r1(X176,X177) )
& ~ p2(X176) )
| ( ! [X179] :
( ? [X180] :
( p2(X180)
& ? [X181] :
( ~ p2(X181)
& r1(X180,X181) )
& r1(X179,X180) )
| p2(X179)
| ~ r1(X176,X179) )
& ? [X182] :
( ? [X183] :
( ! [X184] :
( ~ p2(X184)
| ! [X185] :
( p2(X185)
| ~ r1(X184,X185) )
| ~ r1(X183,X184) )
& ~ p2(X183)
& r1(X182,X183) )
& r1(X176,X182) ) )
| ! [X186] :
( ( ( ? [X187] :
( p2(X187)
& ? [X188] :
( ~ p2(X188)
& r1(X187,X188) )
& r1(X186,X187) )
| p2(X186) )
& ( ? [X189] :
( ! [X190] :
( ~ p2(X190)
| ! [X191] :
( p2(X191)
| ~ r1(X190,X191) )
| ~ r1(X189,X190) )
& ~ p2(X189)
& r1(X186,X189) )
| ! [X192] :
( ! [X193] :
( ? [X194] :
( p2(X194)
& ? [X195] :
( ~ p2(X195)
& r1(X194,X195) )
& r1(X193,X194) )
| p2(X193)
| ~ r1(X192,X193) )
| ~ r1(X186,X192) ) ) )
| ~ r1(X176,X186) )
| ~ r1(X175,X176) )
& ( ( ! [X196] :
( ~ p2(X196)
| ! [X197] :
( p2(X197)
| ~ r1(X196,X197) )
| ~ r1(X175,X196) )
& ~ p2(X175) )
| ( ! [X198] :
( ? [X199] :
( p2(X199)
& ? [X200] :
( ~ p2(X200)
& r1(X199,X200) )
& r1(X198,X199) )
| p2(X198)
| ~ r1(X175,X198) )
& ? [X201] :
( ? [X202] :
( ! [X203] :
( ~ p2(X203)
| ! [X204] :
( p2(X204)
| ~ r1(X203,X204) )
| ~ r1(X202,X203) )
& ~ p2(X202)
& r1(X201,X202) )
& r1(X175,X201) ) ) )
& r1(X0,X175) )
| ( ( ? [X205] :
( p2(X205)
& ? [X206] :
( ~ p2(X206)
& r1(X205,X206) )
& r1(X0,X205) )
| p2(X0) )
& ( ? [X207] :
( ! [X208] :
( ~ p2(X208)
| ! [X209] :
( p2(X209)
| ~ r1(X208,X209) )
| ~ r1(X207,X208) )
& ~ p2(X207)
& r1(X0,X207) )
| ! [X210] :
( ! [X211] :
( ? [X212] :
( p2(X212)
& ? [X213] :
( ~ p2(X213)
& r1(X212,X213) )
& r1(X211,X212) )
| p2(X211)
| ~ r1(X210,X211) )
| ~ r1(X0,X210) ) ) ) )
& ! [X214] :
( ? [X215] :
( p1(X215)
& ? [X216] :
( ~ p1(X216)
& r1(X215,X216) )
& r1(X214,X215) )
| p1(X214)
| ~ r1(X0,X214) )
& ? [X217] :
( ~ p1(X217)
& r1(X0,X217) )
& ( ( ! [X218] :
( ? [X219] :
( p2(X219)
& ? [X220] :
( ~ p2(X220)
& r1(X219,X220) )
& r1(X218,X219) )
| p2(X218)
| ~ r1(X0,X218) )
& ? [X221] :
( ~ p2(X221)
& r1(X0,X221) ) )
| ! [X222] :
( ? [X223] :
( p5(X223)
& r1(X222,X223) )
| ~ r1(X0,X222) ) )
& ! [X224] :
( ? [X225] :
( p3(X225)
& ? [X226] :
( ~ p3(X226)
& r1(X225,X226) )
& r1(X224,X225) )
| p3(X224)
| ~ r1(X0,X224) )
& ? [X227] :
( ~ p3(X227)
& r1(X0,X227) )
& ( ( ! [X228] :
( ? [X229] :
( p2(X229)
& ? [X230] :
( ~ p2(X230)
& r1(X229,X230) )
& r1(X228,X229) )
| p2(X228)
| ~ r1(X0,X228) )
& ? [X231] :
( ~ p2(X231)
& r1(X0,X231) ) )
| ! [X232] :
( ~ p5(X232)
| ~ r1(X0,X232) ) ) ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ? [X12] :
( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ? [X19] :
( ! [X20] :
( ( ? [X21] : r1(X20,X21)
& ~ p1(X20)
& ~ p2(X20)
& ~ p3(X20) )
| ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
& ? [X24] : r1(X19,X24)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(X0,X19) )
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X26] :
( ! [X27] :
( ( ? [X28] : r1(X27,X28)
& ~ p1(X27)
& ~ p2(X27)
& ~ p3(X27)
& ~ p4(X27) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
& ? [X31] : r1(X26,X31)
& ~ p1(X26)
& ~ p2(X26)
& ~ p3(X26)
& ~ p4(X26)
& r1(X0,X26) )
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X33] :
( ! [X34] :
( ( ? [X35] :
( ? [X36] : r1(X35,X36)
& ~ p1(X35)
& ~ p2(X35)
& ~ p3(X35)
& ~ p4(X35)
& r1(X34,X35) )
& ~ p1(X34) )
| ! [X37] :
( ! [X38] :
( ! [X39] : ~ r1(X38,X39)
| p1(X38)
| p2(X38)
| p3(X38)
| p4(X38)
| ~ r1(X37,X38) )
| p1(X37)
| ~ r1(X34,X37) )
| ~ r1(X33,X34) )
& ? [X40] :
( ? [X41] : r1(X40,X41)
& ~ p1(X40)
& ~ p2(X40)
& ~ p3(X40)
& ~ p4(X40)
& r1(X33,X40) )
& ~ p1(X33)
& r1(X0,X33) )
| ! [X42] :
( ! [X43] : ~ r1(X42,X43)
| p1(X42)
| p2(X42)
| p3(X42)
| p4(X42)
| ~ r1(X0,X42) )
| p1(X0) )
& ( ? [X44] :
( ! [X45] :
( ( ? [X46] :
( ? [X47] : r1(X46,X47)
& ~ p1(X46)
& ~ p2(X46)
& ~ p3(X46)
& ~ p4(X46)
& r1(X45,X46) )
& ~ p1(X45)
& ~ p2(X45) )
| ! [X48] :
( ! [X49] :
( ! [X50] : ~ r1(X49,X50)
| p1(X49)
| p2(X49)
| p3(X49)
| p4(X49)
| ~ r1(X48,X49) )
| p1(X48)
| p2(X48)
| ~ r1(X45,X48) )
| ~ r1(X44,X45) )
& ? [X51] :
( ? [X52] : r1(X51,X52)
& ~ p1(X51)
& ~ p2(X51)
& ~ p3(X51)
& ~ p4(X51)
& r1(X44,X51) )
& ~ p1(X44)
& ~ p2(X44)
& r1(X0,X44) )
| ! [X53] :
( ! [X54] : ~ r1(X53,X54)
| p1(X53)
| p2(X53)
| p3(X53)
| p4(X53)
| ~ r1(X0,X53) )
| p1(X0)
| p2(X0) )
& ( ? [X55] :
( ! [X56] :
( ( ? [X57] :
( ? [X58] : r1(X57,X58)
& ~ p1(X57)
& ~ p2(X57)
& ~ p3(X57)
& ~ p4(X57)
& r1(X56,X57) )
& ~ p1(X56)
& ~ p2(X56)
& ~ p3(X56) )
| ! [X59] :
( ! [X60] :
( ! [X61] : ~ r1(X60,X61)
| p1(X60)
| p2(X60)
| p3(X60)
| p4(X60)
| ~ r1(X59,X60) )
| p1(X59)
| p2(X59)
| p3(X59)
| ~ r1(X56,X59) )
| ~ r1(X55,X56) )
& ? [X62] :
( ? [X63] : r1(X62,X63)
& ~ p1(X62)
& ~ p2(X62)
& ~ p3(X62)
& ~ p4(X62)
& r1(X55,X62) )
& ~ p1(X55)
& ~ p2(X55)
& ~ p3(X55)
& r1(X0,X55) )
| ! [X64] :
( ! [X65] : ~ r1(X64,X65)
| p1(X64)
| p2(X64)
| p3(X64)
| p4(X64)
| ~ r1(X0,X64) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X66] :
( ! [X67] :
( ( ? [X68] :
( ? [X69] : r1(X68,X69)
& ~ p1(X68)
& ~ p2(X68)
& ~ p3(X68)
& ~ p4(X68)
& r1(X67,X68) )
& ~ p1(X67)
& ~ p2(X67)
& ~ p3(X67)
& ~ p4(X67) )
| ! [X70] :
( ! [X71] :
( ! [X72] : ~ r1(X71,X72)
| p1(X71)
| p2(X71)
| p3(X71)
| p4(X71)
| ~ r1(X70,X71) )
| p1(X70)
| p2(X70)
| p3(X70)
| p4(X70)
| ~ r1(X67,X70) )
| ~ r1(X66,X67) )
& ? [X73] :
( ? [X74] : r1(X73,X74)
& ~ p1(X73)
& ~ p2(X73)
& ~ p3(X73)
& ~ p4(X73)
& r1(X66,X73) )
& ~ p1(X66)
& ~ p2(X66)
& ~ p3(X66)
& ~ p4(X66)
& r1(X0,X66) )
| ! [X75] :
( ! [X76] : ~ r1(X75,X76)
| p1(X75)
| p2(X75)
| p3(X75)
| p4(X75)
| ~ r1(X0,X75) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X77] :
( ! [X78] :
( ( ? [X79] :
( ? [X80] :
( ? [X81] : r1(X80,X81)
& ~ p1(X80)
& ~ p2(X80)
& ~ p3(X80)
& ~ p4(X80)
& r1(X79,X80) )
& ~ p1(X79)
& ~ p2(X79)
& ~ p3(X79)
& ~ p4(X79)
& r1(X78,X79) )
& ~ p1(X78) )
| ! [X82] :
( ! [X83] :
( ! [X84] :
( ! [X85] : ~ r1(X84,X85)
| p1(X84)
| p2(X84)
| p3(X84)
| p4(X84)
| ~ r1(X83,X84) )
| p1(X83)
| p2(X83)
| p3(X83)
| p4(X83)
| ~ r1(X82,X83) )
| p1(X82)
| ~ r1(X78,X82) )
| ~ r1(X77,X78) )
& ? [X86] :
( ? [X87] :
( ? [X88] : r1(X87,X88)
& ~ p1(X87)
& ~ p2(X87)
& ~ p3(X87)
& ~ p4(X87)
& r1(X86,X87) )
& ~ p1(X86)
& ~ p2(X86)
& ~ p3(X86)
& ~ p4(X86)
& r1(X77,X86) )
& ~ p1(X77)
& r1(X0,X77) )
| ! [X89] :
( ! [X90] :
( ! [X91] : ~ r1(X90,X91)
| p1(X90)
| p2(X90)
| p3(X90)
| p4(X90)
| ~ r1(X89,X90) )
| p1(X89)
| p2(X89)
| p3(X89)
| p4(X89)
| ~ r1(X0,X89) )
| p1(X0) )
& ( ? [X92] :
( ! [X93] :
( ( ? [X94] :
( ? [X95] :
( ? [X96] : r1(X95,X96)
& ~ p1(X95)
& ~ p2(X95)
& ~ p3(X95)
& ~ p4(X95)
& r1(X94,X95) )
& ~ p1(X94)
& ~ p2(X94)
& ~ p3(X94)
& ~ p4(X94)
& r1(X93,X94) )
& ~ p1(X93)
& ~ p2(X93) )
| ! [X97] :
( ! [X98] :
( ! [X99] :
( ! [X100] : ~ r1(X99,X100)
| p1(X99)
| p2(X99)
| p3(X99)
| p4(X99)
| ~ r1(X98,X99) )
| p1(X98)
| p2(X98)
| p3(X98)
| p4(X98)
| ~ r1(X97,X98) )
| p1(X97)
| p2(X97)
| ~ r1(X93,X97) )
| ~ r1(X92,X93) )
& ? [X101] :
( ? [X102] :
( ? [X103] : r1(X102,X103)
& ~ p1(X102)
& ~ p2(X102)
& ~ p3(X102)
& ~ p4(X102)
& r1(X101,X102) )
& ~ p1(X101)
& ~ p2(X101)
& ~ p3(X101)
& ~ p4(X101)
& r1(X92,X101) )
& ~ p1(X92)
& ~ p2(X92)
& r1(X0,X92) )
| ! [X104] :
( ! [X105] :
( ! [X106] : ~ r1(X105,X106)
| p1(X105)
| p2(X105)
| p3(X105)
| p4(X105)
| ~ r1(X104,X105) )
| p1(X104)
| p2(X104)
| p3(X104)
| p4(X104)
| ~ r1(X0,X104) )
| p1(X0)
| p2(X0) )
& ( ? [X107] :
( ! [X108] :
( ( ? [X109] :
( ? [X110] :
( ? [X111] : r1(X110,X111)
& ~ p1(X110)
& ~ p2(X110)
& ~ p3(X110)
& ~ p4(X110)
& r1(X109,X110) )
& ~ p1(X109)
& ~ p2(X109)
& ~ p3(X109)
& ~ p4(X109)
& r1(X108,X109) )
& ~ p1(X108)
& ~ p2(X108)
& ~ p3(X108) )
| ! [X112] :
( ! [X113] :
( ! [X114] :
( ! [X115] : ~ r1(X114,X115)
| p1(X114)
| p2(X114)
| p3(X114)
| p4(X114)
| ~ r1(X113,X114) )
| p1(X113)
| p2(X113)
| p3(X113)
| p4(X113)
| ~ r1(X112,X113) )
| p1(X112)
| p2(X112)
| p3(X112)
| ~ r1(X108,X112) )
| ~ r1(X107,X108) )
& ? [X116] :
( ? [X117] :
( ? [X118] : r1(X117,X118)
& ~ p1(X117)
& ~ p2(X117)
& ~ p3(X117)
& ~ p4(X117)
& r1(X116,X117) )
& ~ p1(X116)
& ~ p2(X116)
& ~ p3(X116)
& ~ p4(X116)
& r1(X107,X116) )
& ~ p1(X107)
& ~ p2(X107)
& ~ p3(X107)
& r1(X0,X107) )
| ! [X119] :
( ! [X120] :
( ! [X121] : ~ r1(X120,X121)
| p1(X120)
| p2(X120)
| p3(X120)
| p4(X120)
| ~ r1(X119,X120) )
| p1(X119)
| p2(X119)
| p3(X119)
| p4(X119)
| ~ r1(X0,X119) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X122] :
( ! [X123] :
( ( ? [X124] :
( ? [X125] :
( ? [X126] : r1(X125,X126)
& ~ p1(X125)
& ~ p2(X125)
& ~ p3(X125)
& ~ p4(X125)
& r1(X124,X125) )
& ~ p1(X124)
& ~ p2(X124)
& ~ p3(X124)
& ~ p4(X124)
& r1(X123,X124) )
& ~ p1(X123)
& ~ p2(X123)
& ~ p3(X123)
& ~ p4(X123) )
| ! [X127] :
( ! [X128] :
( ! [X129] :
( ! [X130] : ~ r1(X129,X130)
| p1(X129)
| p2(X129)
| p3(X129)
| p4(X129)
| ~ r1(X128,X129) )
| p1(X128)
| p2(X128)
| p3(X128)
| p4(X128)
| ~ r1(X127,X128) )
| p1(X127)
| p2(X127)
| p3(X127)
| p4(X127)
| ~ r1(X123,X127) )
| ~ r1(X122,X123) )
& ? [X131] :
( ? [X132] :
( ? [X133] : r1(X132,X133)
& ~ p1(X132)
& ~ p2(X132)
& ~ p3(X132)
& ~ p4(X132)
& r1(X131,X132) )
& ~ p1(X131)
& ~ p2(X131)
& ~ p3(X131)
& ~ p4(X131)
& r1(X122,X131) )
& ~ p1(X122)
& ~ p2(X122)
& ~ p3(X122)
& ~ p4(X122)
& r1(X0,X122) )
| ! [X134] :
( ! [X135] :
( ! [X136] : ~ r1(X135,X136)
| p1(X135)
| p2(X135)
| p3(X135)
| p4(X135)
| ~ r1(X134,X135) )
| p1(X134)
| p2(X134)
| p3(X134)
| p4(X134)
| ~ r1(X0,X134) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X137] :
( ! [X138] :
( ( ? [X139] :
( ? [X140] :
( ? [X141] :
( ? [X142] : r1(X141,X142)
& ~ p1(X141)
& ~ p2(X141)
& ~ p3(X141)
& ~ p4(X141)
& r1(X140,X141) )
& ~ p1(X140)
& ~ p2(X140)
& ~ p3(X140)
& ~ p4(X140)
& r1(X139,X140) )
& ~ p1(X139)
& ~ p2(X139)
& ~ p3(X139)
& ~ p4(X139)
& r1(X138,X139) )
& ~ p1(X138) )
| ! [X143] :
( ! [X144] :
( ! [X145] :
( ! [X146] :
( ! [X147] : ~ r1(X146,X147)
| p1(X146)
| p2(X146)
| p3(X146)
| p4(X146)
| ~ r1(X145,X146) )
| p1(X145)
| p2(X145)
| p3(X145)
| p4(X145)
| ~ r1(X144,X145) )
| p1(X144)
| p2(X144)
| p3(X144)
| p4(X144)
| ~ r1(X143,X144) )
| p1(X143)
| ~ r1(X138,X143) )
| ~ r1(X137,X138) )
& ? [X148] :
( ? [X149] :
( ? [X150] :
( ? [X151] : r1(X150,X151)
& ~ p1(X150)
& ~ p2(X150)
& ~ p3(X150)
& ~ p4(X150)
& r1(X149,X150) )
& ~ p1(X149)
& ~ p2(X149)
& ~ p3(X149)
& ~ p4(X149)
& r1(X148,X149) )
& ~ p1(X148)
& ~ p2(X148)
& ~ p3(X148)
& ~ p4(X148)
& r1(X137,X148) )
& ~ p1(X137)
& r1(X0,X137) )
| ! [X152] :
( ! [X153] :
( ! [X154] :
( ! [X155] : ~ r1(X154,X155)
| p1(X154)
| p2(X154)
| p3(X154)
| p4(X154)
| ~ r1(X153,X154) )
| p1(X153)
| p2(X153)
| p3(X153)
| p4(X153)
| ~ r1(X152,X153) )
| p1(X152)
| p2(X152)
| p3(X152)
| p4(X152)
| ~ r1(X0,X152) )
| p1(X0) )
& ( ? [X156] :
( ! [X157] :
( ( ? [X158] :
( ? [X159] :
( ? [X160] :
( ? [X161] : r1(X160,X161)
& ~ p1(X160)
& ~ p2(X160)
& ~ p3(X160)
& ~ p4(X160)
& r1(X159,X160) )
& ~ p1(X159)
& ~ p2(X159)
& ~ p3(X159)
& ~ p4(X159)
& r1(X158,X159) )
& ~ p1(X158)
& ~ p2(X158)
& ~ p3(X158)
& ~ p4(X158)
& r1(X157,X158) )
& ~ p1(X157)
& ~ p2(X157) )
| ! [X162] :
( ! [X163] :
( ! [X164] :
( ! [X165] :
( ! [X166] : ~ r1(X165,X166)
| p1(X165)
| p2(X165)
| p3(X165)
| p4(X165)
| ~ r1(X164,X165) )
| p1(X164)
| p2(X164)
| p3(X164)
| p4(X164)
| ~ r1(X163,X164) )
| p1(X163)
| p2(X163)
| p3(X163)
| p4(X163)
| ~ r1(X162,X163) )
| p1(X162)
| p2(X162)
| ~ r1(X157,X162) )
| ~ r1(X156,X157) )
& ? [X167] :
( ? [X168] :
( ? [X169] :
( ? [X170] : r1(X169,X170)
& ~ p1(X169)
& ~ p2(X169)
& ~ p3(X169)
& ~ p4(X169)
& r1(X168,X169) )
& ~ p1(X168)
& ~ p2(X168)
& ~ p3(X168)
& ~ p4(X168)
& r1(X167,X168) )
& ~ p1(X167)
& ~ p2(X167)
& ~ p3(X167)
& ~ p4(X167)
& r1(X156,X167) )
& ~ p1(X156)
& ~ p2(X156)
& r1(X0,X156) )
| ! [X171] :
( ! [X172] :
( ! [X173] :
( ! [X174] : ~ r1(X173,X174)
| p1(X173)
| p2(X173)
| p3(X173)
| p4(X173)
| ~ r1(X172,X173) )
| p1(X172)
| p2(X172)
| p3(X172)
| p4(X172)
| ~ r1(X171,X172) )
| p1(X171)
| p2(X171)
| p3(X171)
| p4(X171)
| ~ r1(X0,X171) )
| p1(X0)
| p2(X0) )
& ( ? [X175] :
( ! [X176] :
( ( ! [X177] :
( ~ p2(X177)
| ! [X178] :
( p2(X178)
| ~ r1(X177,X178) )
| ~ r1(X176,X177) )
& ~ p2(X176) )
| ( ! [X179] :
( ? [X180] :
( p2(X180)
& ? [X181] :
( ~ p2(X181)
& r1(X180,X181) )
& r1(X179,X180) )
| p2(X179)
| ~ r1(X176,X179) )
& ? [X182] :
( ? [X183] :
( ! [X184] :
( ~ p2(X184)
| ! [X185] :
( p2(X185)
| ~ r1(X184,X185) )
| ~ r1(X183,X184) )
& ~ p2(X183)
& r1(X182,X183) )
& r1(X176,X182) ) )
| ! [X186] :
( ( ( ? [X187] :
( p2(X187)
& ? [X188] :
( ~ p2(X188)
& r1(X187,X188) )
& r1(X186,X187) )
| p2(X186) )
& ( ? [X189] :
( ! [X190] :
( ~ p2(X190)
| ! [X191] :
( p2(X191)
| ~ r1(X190,X191) )
| ~ r1(X189,X190) )
& ~ p2(X189)
& r1(X186,X189) )
| ! [X192] :
( ! [X193] :
( ? [X194] :
( p2(X194)
& ? [X195] :
( ~ p2(X195)
& r1(X194,X195) )
& r1(X193,X194) )
| p2(X193)
| ~ r1(X192,X193) )
| ~ r1(X186,X192) ) ) )
| ~ r1(X176,X186) )
| ~ r1(X175,X176) )
& ( ( ! [X196] :
( ~ p2(X196)
| ! [X197] :
( p2(X197)
| ~ r1(X196,X197) )
| ~ r1(X175,X196) )
& ~ p2(X175) )
| ( ! [X198] :
( ? [X199] :
( p2(X199)
& ? [X200] :
( ~ p2(X200)
& r1(X199,X200) )
& r1(X198,X199) )
| p2(X198)
| ~ r1(X175,X198) )
& ? [X201] :
( ? [X202] :
( ! [X203] :
( ~ p2(X203)
| ! [X204] :
( p2(X204)
| ~ r1(X203,X204) )
| ~ r1(X202,X203) )
& ~ p2(X202)
& r1(X201,X202) )
& r1(X175,X201) ) ) )
& r1(X0,X175) )
| ( ( ? [X205] :
( p2(X205)
& ? [X206] :
( ~ p2(X206)
& r1(X205,X206) )
& r1(X0,X205) )
| p2(X0) )
& ( ? [X207] :
( ! [X208] :
( ~ p2(X208)
| ! [X209] :
( p2(X209)
| ~ r1(X208,X209) )
| ~ r1(X207,X208) )
& ~ p2(X207)
& r1(X0,X207) )
| ! [X210] :
( ! [X211] :
( ? [X212] :
( p2(X212)
& ? [X213] :
( ~ p2(X213)
& r1(X212,X213) )
& r1(X211,X212) )
| p2(X211)
| ~ r1(X210,X211) )
| ~ r1(X0,X210) ) ) ) )
& ! [X214] :
( ? [X215] :
( p1(X215)
& ? [X216] :
( ~ p1(X216)
& r1(X215,X216) )
& r1(X214,X215) )
| p1(X214)
| ~ r1(X0,X214) )
& ? [X217] :
( ~ p1(X217)
& r1(X0,X217) )
& ( ( ! [X218] :
( ? [X219] :
( p2(X219)
& ? [X220] :
( ~ p2(X220)
& r1(X219,X220) )
& r1(X218,X219) )
| p2(X218)
| ~ r1(X0,X218) )
& ? [X221] :
( ~ p2(X221)
& r1(X0,X221) ) )
| ! [X222] :
( ? [X223] :
( p5(X223)
& r1(X222,X223) )
| ~ r1(X0,X222) ) )
& ! [X224] :
( ? [X225] :
( p3(X225)
& ? [X226] :
( ~ p3(X226)
& r1(X225,X226) )
& r1(X224,X225) )
| p3(X224)
| ~ r1(X0,X224) )
& ? [X227] :
( ~ p3(X227)
& r1(X0,X227) )
& ( ( ! [X228] :
( ? [X229] :
( p2(X229)
& ? [X230] :
( ~ p2(X230)
& r1(X229,X230) )
& r1(X228,X229) )
| p2(X228)
| ~ r1(X0,X228) )
& ? [X231] :
( ~ p2(X231)
& r1(X0,X231) ) )
| ! [X232] :
( ~ p5(X232)
| ~ r1(X0,X232) ) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X5] :
( ~ ! [X6] :
( ~ ( ! [X7] : ~ r1(X6,X7)
| p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ! [X10] : ~ r1(X5,X10)
| p1(X5)
| ~ r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ~ ! [X12] :
( ~ ! [X13] :
( ~ ( ! [X14] : ~ r1(X13,X14)
| p1(X13)
| p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
| ! [X17] : ~ r1(X12,X17)
| p1(X12)
| p2(X12)
| ~ r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ~ ! [X19] :
( ~ ! [X20] :
( ~ ( ! [X21] : ~ r1(X20,X21)
| p1(X20)
| p2(X20)
| p3(X20) )
| ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
| ! [X24] : ~ r1(X19,X24)
| p1(X19)
| p2(X19)
| p3(X19)
| ~ r1(X0,X19) )
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X26] :
( ~ ! [X27] :
( ~ ( ! [X28] : ~ r1(X27,X28)
| p1(X27)
| p2(X27)
| p3(X27)
| p4(X27) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
| ! [X31] : ~ r1(X26,X31)
| p1(X26)
| p2(X26)
| p3(X26)
| p4(X26)
| ~ r1(X0,X26) )
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X33] :
( ~ ! [X34] :
( ~ ( ! [X35] :
( ! [X36] : ~ r1(X35,X36)
| p1(X35)
| p2(X35)
| p3(X35)
| p4(X35)
| ~ r1(X34,X35) )
| p1(X34) )
| ! [X37] :
( ! [X38] :
( ! [X39] : ~ r1(X38,X39)
| p1(X38)
| p2(X38)
| p3(X38)
| p4(X38)
| ~ r1(X37,X38) )
| p1(X37)
| ~ r1(X34,X37) )
| ~ r1(X33,X34) )
| ! [X40] :
( ! [X41] : ~ r1(X40,X41)
| p1(X40)
| p2(X40)
| p3(X40)
| p4(X40)
| ~ r1(X33,X40) )
| p1(X33)
| ~ r1(X0,X33) )
| ! [X42] :
( ! [X43] : ~ r1(X42,X43)
| p1(X42)
| p2(X42)
| p3(X42)
| p4(X42)
| ~ r1(X0,X42) )
| p1(X0) )
& ( ~ ! [X44] :
( ~ ! [X45] :
( ~ ( ! [X46] :
( ! [X47] : ~ r1(X46,X47)
| p1(X46)
| p2(X46)
| p3(X46)
| p4(X46)
| ~ r1(X45,X46) )
| p1(X45)
| p2(X45) )
| ! [X48] :
( ! [X49] :
( ! [X50] : ~ r1(X49,X50)
| p1(X49)
| p2(X49)
| p3(X49)
| p4(X49)
| ~ r1(X48,X49) )
| p1(X48)
| p2(X48)
| ~ r1(X45,X48) )
| ~ r1(X44,X45) )
| ! [X51] :
( ! [X52] : ~ r1(X51,X52)
| p1(X51)
| p2(X51)
| p3(X51)
| p4(X51)
| ~ r1(X44,X51) )
| p1(X44)
| p2(X44)
| ~ r1(X0,X44) )
| ! [X53] :
( ! [X54] : ~ r1(X53,X54)
| p1(X53)
| p2(X53)
| p3(X53)
| p4(X53)
| ~ r1(X0,X53) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X55] :
( ~ ! [X56] :
( ~ ( ! [X57] :
( ! [X58] : ~ r1(X57,X58)
| p1(X57)
| p2(X57)
| p3(X57)
| p4(X57)
| ~ r1(X56,X57) )
| p1(X56)
| p2(X56)
| p3(X56) )
| ! [X59] :
( ! [X60] :
( ! [X61] : ~ r1(X60,X61)
| p1(X60)
| p2(X60)
| p3(X60)
| p4(X60)
| ~ r1(X59,X60) )
| p1(X59)
| p2(X59)
| p3(X59)
| ~ r1(X56,X59) )
| ~ r1(X55,X56) )
| ! [X62] :
( ! [X63] : ~ r1(X62,X63)
| p1(X62)
| p2(X62)
| p3(X62)
| p4(X62)
| ~ r1(X55,X62) )
| p1(X55)
| p2(X55)
| p3(X55)
| ~ r1(X0,X55) )
| ! [X64] :
( ! [X65] : ~ r1(X64,X65)
| p1(X64)
| p2(X64)
| p3(X64)
| p4(X64)
| ~ r1(X0,X64) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X66] :
( ~ ! [X67] :
( ~ ( ! [X68] :
( ! [X69] : ~ r1(X68,X69)
| p1(X68)
| p2(X68)
| p3(X68)
| p4(X68)
| ~ r1(X67,X68) )
| p1(X67)
| p2(X67)
| p3(X67)
| p4(X67) )
| ! [X70] :
( ! [X71] :
( ! [X72] : ~ r1(X71,X72)
| p1(X71)
| p2(X71)
| p3(X71)
| p4(X71)
| ~ r1(X70,X71) )
| p1(X70)
| p2(X70)
| p3(X70)
| p4(X70)
| ~ r1(X67,X70) )
| ~ r1(X66,X67) )
| ! [X73] :
( ! [X74] : ~ r1(X73,X74)
| p1(X73)
| p2(X73)
| p3(X73)
| p4(X73)
| ~ r1(X66,X73) )
| p1(X66)
| p2(X66)
| p3(X66)
| p4(X66)
| ~ r1(X0,X66) )
| ! [X75] :
( ! [X76] : ~ r1(X75,X76)
| p1(X75)
| p2(X75)
| p3(X75)
| p4(X75)
| ~ r1(X0,X75) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X77] :
( ~ ! [X78] :
( ~ ( ! [X79] :
( ! [X80] :
( ! [X81] : ~ r1(X80,X81)
| p1(X80)
| p2(X80)
| p3(X80)
| p4(X80)
| ~ r1(X79,X80) )
| p1(X79)
| p2(X79)
| p3(X79)
| p4(X79)
| ~ r1(X78,X79) )
| p1(X78) )
| ! [X82] :
( ! [X83] :
( ! [X84] :
( ! [X85] : ~ r1(X84,X85)
| p1(X84)
| p2(X84)
| p3(X84)
| p4(X84)
| ~ r1(X83,X84) )
| p1(X83)
| p2(X83)
| p3(X83)
| p4(X83)
| ~ r1(X82,X83) )
| p1(X82)
| ~ r1(X78,X82) )
| ~ r1(X77,X78) )
| ! [X86] :
( ! [X87] :
( ! [X88] : ~ r1(X87,X88)
| p1(X87)
| p2(X87)
| p3(X87)
| p4(X87)
| ~ r1(X86,X87) )
| p1(X86)
| p2(X86)
| p3(X86)
| p4(X86)
| ~ r1(X77,X86) )
| p1(X77)
| ~ r1(X0,X77) )
| ! [X89] :
( ! [X90] :
( ! [X91] : ~ r1(X90,X91)
| p1(X90)
| p2(X90)
| p3(X90)
| p4(X90)
| ~ r1(X89,X90) )
| p1(X89)
| p2(X89)
| p3(X89)
| p4(X89)
| ~ r1(X0,X89) )
| p1(X0) )
& ( ~ ! [X92] :
( ~ ! [X93] :
( ~ ( ! [X94] :
( ! [X95] :
( ! [X96] : ~ r1(X95,X96)
| p1(X95)
| p2(X95)
| p3(X95)
| p4(X95)
| ~ r1(X94,X95) )
| p1(X94)
| p2(X94)
| p3(X94)
| p4(X94)
| ~ r1(X93,X94) )
| p1(X93)
| p2(X93) )
| ! [X97] :
( ! [X98] :
( ! [X99] :
( ! [X100] : ~ r1(X99,X100)
| p1(X99)
| p2(X99)
| p3(X99)
| p4(X99)
| ~ r1(X98,X99) )
| p1(X98)
| p2(X98)
| p3(X98)
| p4(X98)
| ~ r1(X97,X98) )
| p1(X97)
| p2(X97)
| ~ r1(X93,X97) )
| ~ r1(X92,X93) )
| ! [X101] :
( ! [X102] :
( ! [X103] : ~ r1(X102,X103)
| p1(X102)
| p2(X102)
| p3(X102)
| p4(X102)
| ~ r1(X101,X102) )
| p1(X101)
| p2(X101)
| p3(X101)
| p4(X101)
| ~ r1(X92,X101) )
| p1(X92)
| p2(X92)
| ~ r1(X0,X92) )
| ! [X104] :
( ! [X105] :
( ! [X106] : ~ r1(X105,X106)
| p1(X105)
| p2(X105)
| p3(X105)
| p4(X105)
| ~ r1(X104,X105) )
| p1(X104)
| p2(X104)
| p3(X104)
| p4(X104)
| ~ r1(X0,X104) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X107] :
( ~ ! [X108] :
( ~ ( ! [X109] :
( ! [X110] :
( ! [X111] : ~ r1(X110,X111)
| p1(X110)
| p2(X110)
| p3(X110)
| p4(X110)
| ~ r1(X109,X110) )
| p1(X109)
| p2(X109)
| p3(X109)
| p4(X109)
| ~ r1(X108,X109) )
| p1(X108)
| p2(X108)
| p3(X108) )
| ! [X112] :
( ! [X113] :
( ! [X114] :
( ! [X115] : ~ r1(X114,X115)
| p1(X114)
| p2(X114)
| p3(X114)
| p4(X114)
| ~ r1(X113,X114) )
| p1(X113)
| p2(X113)
| p3(X113)
| p4(X113)
| ~ r1(X112,X113) )
| p1(X112)
| p2(X112)
| p3(X112)
| ~ r1(X108,X112) )
| ~ r1(X107,X108) )
| ! [X116] :
( ! [X117] :
( ! [X118] : ~ r1(X117,X118)
| p1(X117)
| p2(X117)
| p3(X117)
| p4(X117)
| ~ r1(X116,X117) )
| p1(X116)
| p2(X116)
| p3(X116)
| p4(X116)
| ~ r1(X107,X116) )
| p1(X107)
| p2(X107)
| p3(X107)
| ~ r1(X0,X107) )
| ! [X119] :
( ! [X120] :
( ! [X121] : ~ r1(X120,X121)
| p1(X120)
| p2(X120)
| p3(X120)
| p4(X120)
| ~ r1(X119,X120) )
| p1(X119)
| p2(X119)
| p3(X119)
| p4(X119)
| ~ r1(X0,X119) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X122] :
( ~ ! [X123] :
( ~ ( ! [X124] :
( ! [X125] :
( ! [X126] : ~ r1(X125,X126)
| p1(X125)
| p2(X125)
| p3(X125)
| p4(X125)
| ~ r1(X124,X125) )
| p1(X124)
| p2(X124)
| p3(X124)
| p4(X124)
| ~ r1(X123,X124) )
| p1(X123)
| p2(X123)
| p3(X123)
| p4(X123) )
| ! [X127] :
( ! [X128] :
( ! [X129] :
( ! [X130] : ~ r1(X129,X130)
| p1(X129)
| p2(X129)
| p3(X129)
| p4(X129)
| ~ r1(X128,X129) )
| p1(X128)
| p2(X128)
| p3(X128)
| p4(X128)
| ~ r1(X127,X128) )
| p1(X127)
| p2(X127)
| p3(X127)
| p4(X127)
| ~ r1(X123,X127) )
| ~ r1(X122,X123) )
| ! [X131] :
( ! [X132] :
( ! [X133] : ~ r1(X132,X133)
| p1(X132)
| p2(X132)
| p3(X132)
| p4(X132)
| ~ r1(X131,X132) )
| p1(X131)
| p2(X131)
| p3(X131)
| p4(X131)
| ~ r1(X122,X131) )
| p1(X122)
| p2(X122)
| p3(X122)
| p4(X122)
| ~ r1(X0,X122) )
| ! [X134] :
( ! [X135] :
( ! [X136] : ~ r1(X135,X136)
| p1(X135)
| p2(X135)
| p3(X135)
| p4(X135)
| ~ r1(X134,X135) )
| p1(X134)
| p2(X134)
| p3(X134)
| p4(X134)
| ~ r1(X0,X134) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X137] :
( ~ ! [X138] :
( ~ ( ! [X139] :
( ! [X140] :
( ! [X141] :
( ! [X142] : ~ r1(X141,X142)
| p1(X141)
| p2(X141)
| p3(X141)
| p4(X141)
| ~ r1(X140,X141) )
| p1(X140)
| p2(X140)
| p3(X140)
| p4(X140)
| ~ r1(X139,X140) )
| p1(X139)
| p2(X139)
| p3(X139)
| p4(X139)
| ~ r1(X138,X139) )
| p1(X138) )
| ! [X143] :
( ! [X144] :
( ! [X145] :
( ! [X146] :
( ! [X147] : ~ r1(X146,X147)
| p1(X146)
| p2(X146)
| p3(X146)
| p4(X146)
| ~ r1(X145,X146) )
| p1(X145)
| p2(X145)
| p3(X145)
| p4(X145)
| ~ r1(X144,X145) )
| p1(X144)
| p2(X144)
| p3(X144)
| p4(X144)
| ~ r1(X143,X144) )
| p1(X143)
| ~ r1(X138,X143) )
| ~ r1(X137,X138) )
| ! [X148] :
( ! [X149] :
( ! [X150] :
( ! [X151] : ~ r1(X150,X151)
| p1(X150)
| p2(X150)
| p3(X150)
| p4(X150)
| ~ r1(X149,X150) )
| p1(X149)
| p2(X149)
| p3(X149)
| p4(X149)
| ~ r1(X148,X149) )
| p1(X148)
| p2(X148)
| p3(X148)
| p4(X148)
| ~ r1(X137,X148) )
| p1(X137)
| ~ r1(X0,X137) )
| ! [X152] :
( ! [X153] :
( ! [X154] :
( ! [X155] : ~ r1(X154,X155)
| p1(X154)
| p2(X154)
| p3(X154)
| p4(X154)
| ~ r1(X153,X154) )
| p1(X153)
| p2(X153)
| p3(X153)
| p4(X153)
| ~ r1(X152,X153) )
| p1(X152)
| p2(X152)
| p3(X152)
| p4(X152)
| ~ r1(X0,X152) )
| p1(X0) )
& ( ~ ! [X156] :
( ~ ! [X157] :
( ~ ( ! [X158] :
( ! [X159] :
( ! [X160] :
( ! [X161] : ~ r1(X160,X161)
| p1(X160)
| p2(X160)
| p3(X160)
| p4(X160)
| ~ r1(X159,X160) )
| p1(X159)
| p2(X159)
| p3(X159)
| p4(X159)
| ~ r1(X158,X159) )
| p1(X158)
| p2(X158)
| p3(X158)
| p4(X158)
| ~ r1(X157,X158) )
| p1(X157)
| p2(X157) )
| ! [X162] :
( ! [X163] :
( ! [X164] :
( ! [X165] :
( ! [X166] : ~ r1(X165,X166)
| p1(X165)
| p2(X165)
| p3(X165)
| p4(X165)
| ~ r1(X164,X165) )
| p1(X164)
| p2(X164)
| p3(X164)
| p4(X164)
| ~ r1(X163,X164) )
| p1(X163)
| p2(X163)
| p3(X163)
| p4(X163)
| ~ r1(X162,X163) )
| p1(X162)
| p2(X162)
| ~ r1(X157,X162) )
| ~ r1(X156,X157) )
| ! [X167] :
( ! [X168] :
( ! [X169] :
( ! [X170] : ~ r1(X169,X170)
| p1(X169)
| p2(X169)
| p3(X169)
| p4(X169)
| ~ r1(X168,X169) )
| p1(X168)
| p2(X168)
| p3(X168)
| p4(X168)
| ~ r1(X167,X168) )
| p1(X167)
| p2(X167)
| p3(X167)
| p4(X167)
| ~ r1(X156,X167) )
| p1(X156)
| p2(X156)
| ~ r1(X0,X156) )
| ! [X171] :
( ! [X172] :
( ! [X173] :
( ! [X174] : ~ r1(X173,X174)
| p1(X173)
| p2(X173)
| p3(X173)
| p4(X173)
| ~ r1(X172,X173) )
| p1(X172)
| p2(X172)
| p3(X172)
| p4(X172)
| ~ r1(X171,X172) )
| p1(X171)
| p2(X171)
| p3(X171)
| p4(X171)
| ~ r1(X0,X171) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X175] :
( ~ ! [X176] :
( ~ ( ( ~ ! [X177] :
( ~ p2(X177)
| ! [X178] :
( p2(X178)
| ~ r1(X177,X178) )
| ~ r1(X176,X177) )
| p2(X176) )
& ( ~ ! [X179] :
( ~ ! [X180] :
( ~ p2(X180)
| ! [X181] :
( p2(X181)
| ~ r1(X180,X181) )
| ~ r1(X179,X180) )
| p2(X179)
| ~ r1(X176,X179) )
| ! [X182] :
( ! [X183] :
( ~ ! [X184] :
( ~ p2(X184)
| ! [X185] :
( p2(X185)
| ~ r1(X184,X185) )
| ~ r1(X183,X184) )
| p2(X183)
| ~ r1(X182,X183) )
| ~ r1(X176,X182) ) ) )
| ! [X186] :
( ( ( ~ ! [X187] :
( ~ p2(X187)
| ! [X188] :
( p2(X188)
| ~ r1(X187,X188) )
| ~ r1(X186,X187) )
| p2(X186) )
& ( ~ ! [X189] :
( ~ ! [X190] :
( ~ p2(X190)
| ! [X191] :
( p2(X191)
| ~ r1(X190,X191) )
| ~ r1(X189,X190) )
| p2(X189)
| ~ r1(X186,X189) )
| ! [X192] :
( ! [X193] :
( ~ ! [X194] :
( ~ p2(X194)
| ! [X195] :
( p2(X195)
| ~ r1(X194,X195) )
| ~ r1(X193,X194) )
| p2(X193)
| ~ r1(X192,X193) )
| ~ r1(X186,X192) ) ) )
| ~ r1(X176,X186) )
| ~ r1(X175,X176) )
| ( ( ~ ! [X196] :
( ~ p2(X196)
| ! [X197] :
( p2(X197)
| ~ r1(X196,X197) )
| ~ r1(X175,X196) )
| p2(X175) )
& ( ~ ! [X198] :
( ~ ! [X199] :
( ~ p2(X199)
| ! [X200] :
( p2(X200)
| ~ r1(X199,X200) )
| ~ r1(X198,X199) )
| p2(X198)
| ~ r1(X175,X198) )
| ! [X201] :
( ! [X202] :
( ~ ! [X203] :
( ~ p2(X203)
| ! [X204] :
( p2(X204)
| ~ r1(X203,X204) )
| ~ r1(X202,X203) )
| p2(X202)
| ~ r1(X201,X202) )
| ~ r1(X175,X201) ) ) )
| ~ r1(X0,X175) )
| ( ( ~ ! [X205] :
( ~ p2(X205)
| ! [X206] :
( p2(X206)
| ~ r1(X205,X206) )
| ~ r1(X0,X205) )
| p2(X0) )
& ( ~ ! [X207] :
( ~ ! [X208] :
( ~ p2(X208)
| ! [X209] :
( p2(X209)
| ~ r1(X208,X209) )
| ~ r1(X207,X208) )
| p2(X207)
| ~ r1(X0,X207) )
| ! [X210] :
( ! [X211] :
( ~ ! [X212] :
( ~ p2(X212)
| ! [X213] :
( p2(X213)
| ~ r1(X212,X213) )
| ~ r1(X211,X212) )
| p2(X211)
| ~ r1(X210,X211) )
| ~ r1(X0,X210) ) ) ) ) )
| ~ ! [X214] :
( ~ ! [X215] :
( ~ p1(X215)
| ! [X216] :
( p1(X216)
| ~ r1(X215,X216) )
| ~ r1(X214,X215) )
| p1(X214)
| ~ r1(X0,X214) )
| ! [X217] :
( p1(X217)
| ~ r1(X0,X217) )
| ( ( ~ ! [X218] :
( ~ ! [X219] :
( ~ p2(X219)
| ! [X220] :
( p2(X220)
| ~ r1(X219,X220) )
| ~ r1(X218,X219) )
| p2(X218)
| ~ r1(X0,X218) )
| ! [X221] :
( p2(X221)
| ~ r1(X0,X221) ) )
& ~ ! [X222] :
( ~ ! [X223] :
( ~ p5(X223)
| ~ r1(X222,X223) )
| ~ r1(X0,X222) ) )
| ~ ! [X224] :
( ~ ! [X225] :
( ~ p3(X225)
| ! [X226] :
( p3(X226)
| ~ r1(X225,X226) )
| ~ r1(X224,X225) )
| p3(X224)
| ~ r1(X0,X224) )
| ! [X227] :
( p3(X227)
| ~ r1(X0,X227) )
| ( ( ~ ! [X228] :
( ~ ! [X229] :
( ~ p2(X229)
| ! [X230] :
( p2(X230)
| ~ r1(X229,X230) )
| ~ r1(X228,X229) )
| p2(X228)
| ~ r1(X0,X228) )
| ! [X231] :
( p2(X231)
| ~ r1(X0,X231) ) )
& ~ ! [X232] :
( ~ p5(X232)
| ~ r1(X0,X232) ) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X5] :
( ~ ! [X6] :
( ~ ( ! [X7] : ~ r1(X6,X7)
| p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ! [X10] : ~ r1(X5,X10)
| p1(X5)
| ~ r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ~ ! [X12] :
( ~ ! [X13] :
( ~ ( ! [X14] : ~ r1(X13,X14)
| p1(X13)
| p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
| ! [X17] : ~ r1(X12,X17)
| p1(X12)
| p2(X12)
| ~ r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ~ ! [X19] :
( ~ ! [X20] :
( ~ ( ! [X21] : ~ r1(X20,X21)
| p1(X20)
| p2(X20)
| p3(X20) )
| ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
| ! [X24] : ~ r1(X19,X24)
| p1(X19)
| p2(X19)
| p3(X19)
| ~ r1(X0,X19) )
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X26] :
( ~ ! [X27] :
( ~ ( ! [X28] : ~ r1(X27,X28)
| p1(X27)
| p2(X27)
| p3(X27)
| p4(X27) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
| ! [X31] : ~ r1(X26,X31)
| p1(X26)
| p2(X26)
| p3(X26)
| p4(X26)
| ~ r1(X0,X26) )
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X33] :
( ~ ! [X34] :
( ~ ( ! [X35] :
( ! [X36] : ~ r1(X35,X36)
| p1(X35)
| p2(X35)
| p3(X35)
| p4(X35)
| ~ r1(X34,X35) )
| p1(X34) )
| ! [X37] :
( ! [X38] :
( ! [X39] : ~ r1(X38,X39)
| p1(X38)
| p2(X38)
| p3(X38)
| p4(X38)
| ~ r1(X37,X38) )
| p1(X37)
| ~ r1(X34,X37) )
| ~ r1(X33,X34) )
| ! [X40] :
( ! [X41] : ~ r1(X40,X41)
| p1(X40)
| p2(X40)
| p3(X40)
| p4(X40)
| ~ r1(X33,X40) )
| p1(X33)
| ~ r1(X0,X33) )
| ! [X42] :
( ! [X43] : ~ r1(X42,X43)
| p1(X42)
| p2(X42)
| p3(X42)
| p4(X42)
| ~ r1(X0,X42) )
| p1(X0) )
& ( ~ ! [X44] :
( ~ ! [X45] :
( ~ ( ! [X46] :
( ! [X47] : ~ r1(X46,X47)
| p1(X46)
| p2(X46)
| p3(X46)
| p4(X46)
| ~ r1(X45,X46) )
| p1(X45)
| p2(X45) )
| ! [X48] :
( ! [X49] :
( ! [X50] : ~ r1(X49,X50)
| p1(X49)
| p2(X49)
| p3(X49)
| p4(X49)
| ~ r1(X48,X49) )
| p1(X48)
| p2(X48)
| ~ r1(X45,X48) )
| ~ r1(X44,X45) )
| ! [X51] :
( ! [X52] : ~ r1(X51,X52)
| p1(X51)
| p2(X51)
| p3(X51)
| p4(X51)
| ~ r1(X44,X51) )
| p1(X44)
| p2(X44)
| ~ r1(X0,X44) )
| ! [X53] :
( ! [X54] : ~ r1(X53,X54)
| p1(X53)
| p2(X53)
| p3(X53)
| p4(X53)
| ~ r1(X0,X53) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X55] :
( ~ ! [X56] :
( ~ ( ! [X57] :
( ! [X58] : ~ r1(X57,X58)
| p1(X57)
| p2(X57)
| p3(X57)
| p4(X57)
| ~ r1(X56,X57) )
| p1(X56)
| p2(X56)
| p3(X56) )
| ! [X59] :
( ! [X60] :
( ! [X61] : ~ r1(X60,X61)
| p1(X60)
| p2(X60)
| p3(X60)
| p4(X60)
| ~ r1(X59,X60) )
| p1(X59)
| p2(X59)
| p3(X59)
| ~ r1(X56,X59) )
| ~ r1(X55,X56) )
| ! [X62] :
( ! [X63] : ~ r1(X62,X63)
| p1(X62)
| p2(X62)
| p3(X62)
| p4(X62)
| ~ r1(X55,X62) )
| p1(X55)
| p2(X55)
| p3(X55)
| ~ r1(X0,X55) )
| ! [X64] :
( ! [X65] : ~ r1(X64,X65)
| p1(X64)
| p2(X64)
| p3(X64)
| p4(X64)
| ~ r1(X0,X64) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X66] :
( ~ ! [X67] :
( ~ ( ! [X68] :
( ! [X69] : ~ r1(X68,X69)
| p1(X68)
| p2(X68)
| p3(X68)
| p4(X68)
| ~ r1(X67,X68) )
| p1(X67)
| p2(X67)
| p3(X67)
| p4(X67) )
| ! [X70] :
( ! [X71] :
( ! [X72] : ~ r1(X71,X72)
| p1(X71)
| p2(X71)
| p3(X71)
| p4(X71)
| ~ r1(X70,X71) )
| p1(X70)
| p2(X70)
| p3(X70)
| p4(X70)
| ~ r1(X67,X70) )
| ~ r1(X66,X67) )
| ! [X73] :
( ! [X74] : ~ r1(X73,X74)
| p1(X73)
| p2(X73)
| p3(X73)
| p4(X73)
| ~ r1(X66,X73) )
| p1(X66)
| p2(X66)
| p3(X66)
| p4(X66)
| ~ r1(X0,X66) )
| ! [X75] :
( ! [X76] : ~ r1(X75,X76)
| p1(X75)
| p2(X75)
| p3(X75)
| p4(X75)
| ~ r1(X0,X75) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X77] :
( ~ ! [X78] :
( ~ ( ! [X79] :
( ! [X80] :
( ! [X81] : ~ r1(X80,X81)
| p1(X80)
| p2(X80)
| p3(X80)
| p4(X80)
| ~ r1(X79,X80) )
| p1(X79)
| p2(X79)
| p3(X79)
| p4(X79)
| ~ r1(X78,X79) )
| p1(X78) )
| ! [X82] :
( ! [X83] :
( ! [X84] :
( ! [X85] : ~ r1(X84,X85)
| p1(X84)
| p2(X84)
| p3(X84)
| p4(X84)
| ~ r1(X83,X84) )
| p1(X83)
| p2(X83)
| p3(X83)
| p4(X83)
| ~ r1(X82,X83) )
| p1(X82)
| ~ r1(X78,X82) )
| ~ r1(X77,X78) )
| ! [X86] :
( ! [X87] :
( ! [X88] : ~ r1(X87,X88)
| p1(X87)
| p2(X87)
| p3(X87)
| p4(X87)
| ~ r1(X86,X87) )
| p1(X86)
| p2(X86)
| p3(X86)
| p4(X86)
| ~ r1(X77,X86) )
| p1(X77)
| ~ r1(X0,X77) )
| ! [X89] :
( ! [X90] :
( ! [X91] : ~ r1(X90,X91)
| p1(X90)
| p2(X90)
| p3(X90)
| p4(X90)
| ~ r1(X89,X90) )
| p1(X89)
| p2(X89)
| p3(X89)
| p4(X89)
| ~ r1(X0,X89) )
| p1(X0) )
& ( ~ ! [X92] :
( ~ ! [X93] :
( ~ ( ! [X94] :
( ! [X95] :
( ! [X96] : ~ r1(X95,X96)
| p1(X95)
| p2(X95)
| p3(X95)
| p4(X95)
| ~ r1(X94,X95) )
| p1(X94)
| p2(X94)
| p3(X94)
| p4(X94)
| ~ r1(X93,X94) )
| p1(X93)
| p2(X93) )
| ! [X97] :
( ! [X98] :
( ! [X99] :
( ! [X100] : ~ r1(X99,X100)
| p1(X99)
| p2(X99)
| p3(X99)
| p4(X99)
| ~ r1(X98,X99) )
| p1(X98)
| p2(X98)
| p3(X98)
| p4(X98)
| ~ r1(X97,X98) )
| p1(X97)
| p2(X97)
| ~ r1(X93,X97) )
| ~ r1(X92,X93) )
| ! [X101] :
( ! [X102] :
( ! [X103] : ~ r1(X102,X103)
| p1(X102)
| p2(X102)
| p3(X102)
| p4(X102)
| ~ r1(X101,X102) )
| p1(X101)
| p2(X101)
| p3(X101)
| p4(X101)
| ~ r1(X92,X101) )
| p1(X92)
| p2(X92)
| ~ r1(X0,X92) )
| ! [X104] :
( ! [X105] :
( ! [X106] : ~ r1(X105,X106)
| p1(X105)
| p2(X105)
| p3(X105)
| p4(X105)
| ~ r1(X104,X105) )
| p1(X104)
| p2(X104)
| p3(X104)
| p4(X104)
| ~ r1(X0,X104) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X107] :
( ~ ! [X108] :
( ~ ( ! [X109] :
( ! [X110] :
( ! [X111] : ~ r1(X110,X111)
| p1(X110)
| p2(X110)
| p3(X110)
| p4(X110)
| ~ r1(X109,X110) )
| p1(X109)
| p2(X109)
| p3(X109)
| p4(X109)
| ~ r1(X108,X109) )
| p1(X108)
| p2(X108)
| p3(X108) )
| ! [X112] :
( ! [X113] :
( ! [X114] :
( ! [X115] : ~ r1(X114,X115)
| p1(X114)
| p2(X114)
| p3(X114)
| p4(X114)
| ~ r1(X113,X114) )
| p1(X113)
| p2(X113)
| p3(X113)
| p4(X113)
| ~ r1(X112,X113) )
| p1(X112)
| p2(X112)
| p3(X112)
| ~ r1(X108,X112) )
| ~ r1(X107,X108) )
| ! [X116] :
( ! [X117] :
( ! [X118] : ~ r1(X117,X118)
| p1(X117)
| p2(X117)
| p3(X117)
| p4(X117)
| ~ r1(X116,X117) )
| p1(X116)
| p2(X116)
| p3(X116)
| p4(X116)
| ~ r1(X107,X116) )
| p1(X107)
| p2(X107)
| p3(X107)
| ~ r1(X0,X107) )
| ! [X119] :
( ! [X120] :
( ! [X121] : ~ r1(X120,X121)
| p1(X120)
| p2(X120)
| p3(X120)
| p4(X120)
| ~ r1(X119,X120) )
| p1(X119)
| p2(X119)
| p3(X119)
| p4(X119)
| ~ r1(X0,X119) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X122] :
( ~ ! [X123] :
( ~ ( ! [X124] :
( ! [X125] :
( ! [X126] : ~ r1(X125,X126)
| p1(X125)
| p2(X125)
| p3(X125)
| p4(X125)
| ~ r1(X124,X125) )
| p1(X124)
| p2(X124)
| p3(X124)
| p4(X124)
| ~ r1(X123,X124) )
| p1(X123)
| p2(X123)
| p3(X123)
| p4(X123) )
| ! [X127] :
( ! [X128] :
( ! [X129] :
( ! [X130] : ~ r1(X129,X130)
| p1(X129)
| p2(X129)
| p3(X129)
| p4(X129)
| ~ r1(X128,X129) )
| p1(X128)
| p2(X128)
| p3(X128)
| p4(X128)
| ~ r1(X127,X128) )
| p1(X127)
| p2(X127)
| p3(X127)
| p4(X127)
| ~ r1(X123,X127) )
| ~ r1(X122,X123) )
| ! [X131] :
( ! [X132] :
( ! [X133] : ~ r1(X132,X133)
| p1(X132)
| p2(X132)
| p3(X132)
| p4(X132)
| ~ r1(X131,X132) )
| p1(X131)
| p2(X131)
| p3(X131)
| p4(X131)
| ~ r1(X122,X131) )
| p1(X122)
| p2(X122)
| p3(X122)
| p4(X122)
| ~ r1(X0,X122) )
| ! [X134] :
( ! [X135] :
( ! [X136] : ~ r1(X135,X136)
| p1(X135)
| p2(X135)
| p3(X135)
| p4(X135)
| ~ r1(X134,X135) )
| p1(X134)
| p2(X134)
| p3(X134)
| p4(X134)
| ~ r1(X0,X134) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X137] :
( ~ ! [X138] :
( ~ ( ! [X139] :
( ! [X140] :
( ! [X141] :
( ! [X142] : ~ r1(X141,X142)
| p1(X141)
| p2(X141)
| p3(X141)
| p4(X141)
| ~ r1(X140,X141) )
| p1(X140)
| p2(X140)
| p3(X140)
| p4(X140)
| ~ r1(X139,X140) )
| p1(X139)
| p2(X139)
| p3(X139)
| p4(X139)
| ~ r1(X138,X139) )
| p1(X138) )
| ! [X143] :
( ! [X144] :
( ! [X145] :
( ! [X146] :
( ! [X147] : ~ r1(X146,X147)
| p1(X146)
| p2(X146)
| p3(X146)
| p4(X146)
| ~ r1(X145,X146) )
| p1(X145)
| p2(X145)
| p3(X145)
| p4(X145)
| ~ r1(X144,X145) )
| p1(X144)
| p2(X144)
| p3(X144)
| p4(X144)
| ~ r1(X143,X144) )
| p1(X143)
| ~ r1(X138,X143) )
| ~ r1(X137,X138) )
| ! [X148] :
( ! [X149] :
( ! [X150] :
( ! [X151] : ~ r1(X150,X151)
| p1(X150)
| p2(X150)
| p3(X150)
| p4(X150)
| ~ r1(X149,X150) )
| p1(X149)
| p2(X149)
| p3(X149)
| p4(X149)
| ~ r1(X148,X149) )
| p1(X148)
| p2(X148)
| p3(X148)
| p4(X148)
| ~ r1(X137,X148) )
| p1(X137)
| ~ r1(X0,X137) )
| ! [X152] :
( ! [X153] :
( ! [X154] :
( ! [X155] : ~ r1(X154,X155)
| p1(X154)
| p2(X154)
| p3(X154)
| p4(X154)
| ~ r1(X153,X154) )
| p1(X153)
| p2(X153)
| p3(X153)
| p4(X153)
| ~ r1(X152,X153) )
| p1(X152)
| p2(X152)
| p3(X152)
| p4(X152)
| ~ r1(X0,X152) )
| p1(X0) )
& ( ~ ! [X156] :
( ~ ! [X157] :
( ~ ( ! [X158] :
( ! [X159] :
( ! [X160] :
( ! [X161] : ~ r1(X160,X161)
| p1(X160)
| p2(X160)
| p3(X160)
| p4(X160)
| ~ r1(X159,X160) )
| p1(X159)
| p2(X159)
| p3(X159)
| p4(X159)
| ~ r1(X158,X159) )
| p1(X158)
| p2(X158)
| p3(X158)
| p4(X158)
| ~ r1(X157,X158) )
| p1(X157)
| p2(X157) )
| ! [X162] :
( ! [X163] :
( ! [X164] :
( ! [X165] :
( ! [X166] : ~ r1(X165,X166)
| p1(X165)
| p2(X165)
| p3(X165)
| p4(X165)
| ~ r1(X164,X165) )
| p1(X164)
| p2(X164)
| p3(X164)
| p4(X164)
| ~ r1(X163,X164) )
| p1(X163)
| p2(X163)
| p3(X163)
| p4(X163)
| ~ r1(X162,X163) )
| p1(X162)
| p2(X162)
| ~ r1(X157,X162) )
| ~ r1(X156,X157) )
| ! [X167] :
( ! [X168] :
( ! [X169] :
( ! [X170] : ~ r1(X169,X170)
| p1(X169)
| p2(X169)
| p3(X169)
| p4(X169)
| ~ r1(X168,X169) )
| p1(X168)
| p2(X168)
| p3(X168)
| p4(X168)
| ~ r1(X167,X168) )
| p1(X167)
| p2(X167)
| p3(X167)
| p4(X167)
| ~ r1(X156,X167) )
| p1(X156)
| p2(X156)
| ~ r1(X0,X156) )
| ! [X171] :
( ! [X172] :
( ! [X173] :
( ! [X174] : ~ r1(X173,X174)
| p1(X173)
| p2(X173)
| p3(X173)
| p4(X173)
| ~ r1(X172,X173) )
| p1(X172)
| p2(X172)
| p3(X172)
| p4(X172)
| ~ r1(X171,X172) )
| p1(X171)
| p2(X171)
| p3(X171)
| p4(X171)
| ~ r1(X0,X171) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X175] :
( ~ ! [X176] :
( ~ ( ( ~ ! [X177] :
( ~ p2(X177)
| ! [X178] :
( p2(X178)
| ~ r1(X177,X178) )
| ~ r1(X176,X177) )
| p2(X176) )
& ( ~ ! [X179] :
( ~ ! [X180] :
( ~ p2(X180)
| ! [X181] :
( p2(X181)
| ~ r1(X180,X181) )
| ~ r1(X179,X180) )
| p2(X179)
| ~ r1(X176,X179) )
| ! [X182] :
( ! [X183] :
( ~ ! [X184] :
( ~ p2(X184)
| ! [X185] :
( p2(X185)
| ~ r1(X184,X185) )
| ~ r1(X183,X184) )
| p2(X183)
| ~ r1(X182,X183) )
| ~ r1(X176,X182) ) ) )
| ! [X186] :
( ( ( ~ ! [X187] :
( ~ p2(X187)
| ! [X188] :
( p2(X188)
| ~ r1(X187,X188) )
| ~ r1(X186,X187) )
| p2(X186) )
& ( ~ ! [X189] :
( ~ ! [X190] :
( ~ p2(X190)
| ! [X191] :
( p2(X191)
| ~ r1(X190,X191) )
| ~ r1(X189,X190) )
| p2(X189)
| ~ r1(X186,X189) )
| ! [X192] :
( ! [X193] :
( ~ ! [X194] :
( ~ p2(X194)
| ! [X195] :
( p2(X195)
| ~ r1(X194,X195) )
| ~ r1(X193,X194) )
| p2(X193)
| ~ r1(X192,X193) )
| ~ r1(X186,X192) ) ) )
| ~ r1(X176,X186) )
| ~ r1(X175,X176) )
| ( ( ~ ! [X196] :
( ~ p2(X196)
| ! [X197] :
( p2(X197)
| ~ r1(X196,X197) )
| ~ r1(X175,X196) )
| p2(X175) )
& ( ~ ! [X198] :
( ~ ! [X199] :
( ~ p2(X199)
| ! [X200] :
( p2(X200)
| ~ r1(X199,X200) )
| ~ r1(X198,X199) )
| p2(X198)
| ~ r1(X175,X198) )
| ! [X201] :
( ! [X202] :
( ~ ! [X203] :
( ~ p2(X203)
| ! [X204] :
( p2(X204)
| ~ r1(X203,X204) )
| ~ r1(X202,X203) )
| p2(X202)
| ~ r1(X201,X202) )
| ~ r1(X175,X201) ) ) )
| ~ r1(X0,X175) )
| ( ( ~ ! [X205] :
( ~ p2(X205)
| ! [X206] :
( p2(X206)
| ~ r1(X205,X206) )
| ~ r1(X0,X205) )
| p2(X0) )
& ( ~ ! [X207] :
( ~ ! [X208] :
( ~ p2(X208)
| ! [X209] :
( p2(X209)
| ~ r1(X208,X209) )
| ~ r1(X207,X208) )
| p2(X207)
| ~ r1(X0,X207) )
| ! [X210] :
( ! [X211] :
( ~ ! [X212] :
( ~ p2(X212)
| ! [X213] :
( p2(X213)
| ~ r1(X212,X213) )
| ~ r1(X211,X212) )
| p2(X211)
| ~ r1(X210,X211) )
| ~ r1(X0,X210) ) ) ) ) )
| ~ ! [X214] :
( ~ ! [X215] :
( ~ p1(X215)
| ! [X216] :
( p1(X216)
| ~ r1(X215,X216) )
| ~ r1(X214,X215) )
| p1(X214)
| ~ r1(X0,X214) )
| ! [X217] :
( p1(X217)
| ~ r1(X0,X217) )
| ( ( ~ ! [X218] :
( ~ ! [X219] :
( ~ p2(X219)
| ! [X220] :
( p2(X220)
| ~ r1(X219,X220) )
| ~ r1(X218,X219) )
| p2(X218)
| ~ r1(X0,X218) )
| ! [X221] :
( p2(X221)
| ~ r1(X0,X221) ) )
& ~ ! [X222] :
( ~ ! [X223] :
( ~ p5(X223)
| ~ r1(X222,X223) )
| ~ r1(X0,X222) ) )
| ~ ! [X224] :
( ~ ! [X225] :
( ~ p3(X225)
| ! [X226] :
( p3(X226)
| ~ r1(X225,X226) )
| ~ r1(X224,X225) )
| p3(X224)
| ~ r1(X0,X224) )
| ! [X227] :
( p3(X227)
| ~ r1(X0,X227) )
| ( ( ~ ! [X228] :
( ~ ! [X229] :
( ~ p2(X229)
| ! [X230] :
( p2(X230)
| ~ r1(X229,X230) )
| ~ r1(X228,X229) )
| p2(X228)
| ~ r1(X0,X228) )
| ! [X231] :
( p2(X231)
| ~ r1(X0,X231) ) )
& ~ ! [X232] :
( ~ p5(X232)
| ~ r1(X0,X232) ) ) ),
inference(true_and_false_elimination,[],[f4]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X5] :
( ~ ! [X6] :
( ~ ( ! [X7] :
( $false
| ~ r1(X6,X7) )
| p1(X6) )
| ! [X8] :
( ! [X9] :
( $false
| ~ r1(X8,X9) )
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ! [X10] :
( $false
| ~ r1(X5,X10) )
| p1(X5)
| ~ r1(X0,X5) )
| ! [X11] :
( $false
| ~ r1(X0,X11) )
| p1(X0) )
& ( ~ ! [X12] :
( ~ ! [X13] :
( ~ ( ! [X14] :
( $false
| ~ r1(X13,X14) )
| p1(X13)
| p2(X13) )
| ! [X15] :
( ! [X16] :
( $false
| ~ r1(X15,X16) )
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
| ! [X17] :
( $false
| ~ r1(X12,X17) )
| p1(X12)
| p2(X12)
| ~ r1(X0,X12) )
| ! [X18] :
( $false
| ~ r1(X0,X18) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X19] :
( ~ ! [X20] :
( ~ ( ! [X21] :
( $false
| ~ r1(X20,X21) )
| p1(X20)
| p2(X20)
| p3(X20) )
| ! [X22] :
( ! [X23] :
( $false
| ~ r1(X22,X23) )
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
| ! [X24] :
( $false
| ~ r1(X19,X24) )
| p1(X19)
| p2(X19)
| p3(X19)
| ~ r1(X0,X19) )
| ! [X25] :
( $false
| ~ r1(X0,X25) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X26] :
( ~ ! [X27] :
( ~ ( ! [X28] :
( $false
| ~ r1(X27,X28) )
| p1(X27)
| p2(X27)
| p3(X27)
| p4(X27) )
| ! [X29] :
( ! [X30] :
( $false
| ~ r1(X29,X30) )
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
| ! [X31] :
( $false
| ~ r1(X26,X31) )
| p1(X26)
| p2(X26)
| p3(X26)
| p4(X26)
| ~ r1(X0,X26) )
| ! [X32] :
( $false
| ~ r1(X0,X32) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X33] :
( ~ ! [X34] :
( ~ ( ! [X35] :
( ! [X36] :
( $false
| ~ r1(X35,X36) )
| p1(X35)
| p2(X35)
| p3(X35)
| p4(X35)
| ~ r1(X34,X35) )
| p1(X34) )
| ! [X37] :
( ! [X38] :
( ! [X39] :
( $false
| ~ r1(X38,X39) )
| p1(X38)
| p2(X38)
| p3(X38)
| p4(X38)
| ~ r1(X37,X38) )
| p1(X37)
| ~ r1(X34,X37) )
| ~ r1(X33,X34) )
| ! [X40] :
( ! [X41] :
( $false
| ~ r1(X40,X41) )
| p1(X40)
| p2(X40)
| p3(X40)
| p4(X40)
| ~ r1(X33,X40) )
| p1(X33)
| ~ r1(X0,X33) )
| ! [X42] :
( ! [X43] :
( $false
| ~ r1(X42,X43) )
| p1(X42)
| p2(X42)
| p3(X42)
| p4(X42)
| ~ r1(X0,X42) )
| p1(X0) )
& ( ~ ! [X44] :
( ~ ! [X45] :
( ~ ( ! [X46] :
( ! [X47] :
( $false
| ~ r1(X46,X47) )
| p1(X46)
| p2(X46)
| p3(X46)
| p4(X46)
| ~ r1(X45,X46) )
| p1(X45)
| p2(X45) )
| ! [X48] :
( ! [X49] :
( ! [X50] :
( $false
| ~ r1(X49,X50) )
| p1(X49)
| p2(X49)
| p3(X49)
| p4(X49)
| ~ r1(X48,X49) )
| p1(X48)
| p2(X48)
| ~ r1(X45,X48) )
| ~ r1(X44,X45) )
| ! [X51] :
( ! [X52] :
( $false
| ~ r1(X51,X52) )
| p1(X51)
| p2(X51)
| p3(X51)
| p4(X51)
| ~ r1(X44,X51) )
| p1(X44)
| p2(X44)
| ~ r1(X0,X44) )
| ! [X53] :
( ! [X54] :
( $false
| ~ r1(X53,X54) )
| p1(X53)
| p2(X53)
| p3(X53)
| p4(X53)
| ~ r1(X0,X53) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X55] :
( ~ ! [X56] :
( ~ ( ! [X57] :
( ! [X58] :
( $false
| ~ r1(X57,X58) )
| p1(X57)
| p2(X57)
| p3(X57)
| p4(X57)
| ~ r1(X56,X57) )
| p1(X56)
| p2(X56)
| p3(X56) )
| ! [X59] :
( ! [X60] :
( ! [X61] :
( $false
| ~ r1(X60,X61) )
| p1(X60)
| p2(X60)
| p3(X60)
| p4(X60)
| ~ r1(X59,X60) )
| p1(X59)
| p2(X59)
| p3(X59)
| ~ r1(X56,X59) )
| ~ r1(X55,X56) )
| ! [X62] :
( ! [X63] :
( $false
| ~ r1(X62,X63) )
| p1(X62)
| p2(X62)
| p3(X62)
| p4(X62)
| ~ r1(X55,X62) )
| p1(X55)
| p2(X55)
| p3(X55)
| ~ r1(X0,X55) )
| ! [X64] :
( ! [X65] :
( $false
| ~ r1(X64,X65) )
| p1(X64)
| p2(X64)
| p3(X64)
| p4(X64)
| ~ r1(X0,X64) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X66] :
( ~ ! [X67] :
( ~ ( ! [X68] :
( ! [X69] :
( $false
| ~ r1(X68,X69) )
| p1(X68)
| p2(X68)
| p3(X68)
| p4(X68)
| ~ r1(X67,X68) )
| p1(X67)
| p2(X67)
| p3(X67)
| p4(X67) )
| ! [X70] :
( ! [X71] :
( ! [X72] :
( $false
| ~ r1(X71,X72) )
| p1(X71)
| p2(X71)
| p3(X71)
| p4(X71)
| ~ r1(X70,X71) )
| p1(X70)
| p2(X70)
| p3(X70)
| p4(X70)
| ~ r1(X67,X70) )
| ~ r1(X66,X67) )
| ! [X73] :
( ! [X74] :
( $false
| ~ r1(X73,X74) )
| p1(X73)
| p2(X73)
| p3(X73)
| p4(X73)
| ~ r1(X66,X73) )
| p1(X66)
| p2(X66)
| p3(X66)
| p4(X66)
| ~ r1(X0,X66) )
| ! [X75] :
( ! [X76] :
( $false
| ~ r1(X75,X76) )
| p1(X75)
| p2(X75)
| p3(X75)
| p4(X75)
| ~ r1(X0,X75) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X77] :
( ~ ! [X78] :
( ~ ( ! [X79] :
( ! [X80] :
( ! [X81] :
( $false
| ~ r1(X80,X81) )
| p1(X80)
| p2(X80)
| p3(X80)
| p4(X80)
| ~ r1(X79,X80) )
| p1(X79)
| p2(X79)
| p3(X79)
| p4(X79)
| ~ r1(X78,X79) )
| p1(X78) )
| ! [X82] :
( ! [X83] :
( ! [X84] :
( ! [X85] :
( $false
| ~ r1(X84,X85) )
| p1(X84)
| p2(X84)
| p3(X84)
| p4(X84)
| ~ r1(X83,X84) )
| p1(X83)
| p2(X83)
| p3(X83)
| p4(X83)
| ~ r1(X82,X83) )
| p1(X82)
| ~ r1(X78,X82) )
| ~ r1(X77,X78) )
| ! [X86] :
( ! [X87] :
( ! [X88] :
( $false
| ~ r1(X87,X88) )
| p1(X87)
| p2(X87)
| p3(X87)
| p4(X87)
| ~ r1(X86,X87) )
| p1(X86)
| p2(X86)
| p3(X86)
| p4(X86)
| ~ r1(X77,X86) )
| p1(X77)
| ~ r1(X0,X77) )
| ! [X89] :
( ! [X90] :
( ! [X91] :
( $false
| ~ r1(X90,X91) )
| p1(X90)
| p2(X90)
| p3(X90)
| p4(X90)
| ~ r1(X89,X90) )
| p1(X89)
| p2(X89)
| p3(X89)
| p4(X89)
| ~ r1(X0,X89) )
| p1(X0) )
& ( ~ ! [X92] :
( ~ ! [X93] :
( ~ ( ! [X94] :
( ! [X95] :
( ! [X96] :
( $false
| ~ r1(X95,X96) )
| p1(X95)
| p2(X95)
| p3(X95)
| p4(X95)
| ~ r1(X94,X95) )
| p1(X94)
| p2(X94)
| p3(X94)
| p4(X94)
| ~ r1(X93,X94) )
| p1(X93)
| p2(X93) )
| ! [X97] :
( ! [X98] :
( ! [X99] :
( ! [X100] :
( $false
| ~ r1(X99,X100) )
| p1(X99)
| p2(X99)
| p3(X99)
| p4(X99)
| ~ r1(X98,X99) )
| p1(X98)
| p2(X98)
| p3(X98)
| p4(X98)
| ~ r1(X97,X98) )
| p1(X97)
| p2(X97)
| ~ r1(X93,X97) )
| ~ r1(X92,X93) )
| ! [X101] :
( ! [X102] :
( ! [X103] :
( $false
| ~ r1(X102,X103) )
| p1(X102)
| p2(X102)
| p3(X102)
| p4(X102)
| ~ r1(X101,X102) )
| p1(X101)
| p2(X101)
| p3(X101)
| p4(X101)
| ~ r1(X92,X101) )
| p1(X92)
| p2(X92)
| ~ r1(X0,X92) )
| ! [X104] :
( ! [X105] :
( ! [X106] :
( $false
| ~ r1(X105,X106) )
| p1(X105)
| p2(X105)
| p3(X105)
| p4(X105)
| ~ r1(X104,X105) )
| p1(X104)
| p2(X104)
| p3(X104)
| p4(X104)
| ~ r1(X0,X104) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X107] :
( ~ ! [X108] :
( ~ ( ! [X109] :
( ! [X110] :
( ! [X111] :
( $false
| ~ r1(X110,X111) )
| p1(X110)
| p2(X110)
| p3(X110)
| p4(X110)
| ~ r1(X109,X110) )
| p1(X109)
| p2(X109)
| p3(X109)
| p4(X109)
| ~ r1(X108,X109) )
| p1(X108)
| p2(X108)
| p3(X108) )
| ! [X112] :
( ! [X113] :
( ! [X114] :
( ! [X115] :
( $false
| ~ r1(X114,X115) )
| p1(X114)
| p2(X114)
| p3(X114)
| p4(X114)
| ~ r1(X113,X114) )
| p1(X113)
| p2(X113)
| p3(X113)
| p4(X113)
| ~ r1(X112,X113) )
| p1(X112)
| p2(X112)
| p3(X112)
| ~ r1(X108,X112) )
| ~ r1(X107,X108) )
| ! [X116] :
( ! [X117] :
( ! [X118] :
( $false
| ~ r1(X117,X118) )
| p1(X117)
| p2(X117)
| p3(X117)
| p4(X117)
| ~ r1(X116,X117) )
| p1(X116)
| p2(X116)
| p3(X116)
| p4(X116)
| ~ r1(X107,X116) )
| p1(X107)
| p2(X107)
| p3(X107)
| ~ r1(X0,X107) )
| ! [X119] :
( ! [X120] :
( ! [X121] :
( $false
| ~ r1(X120,X121) )
| p1(X120)
| p2(X120)
| p3(X120)
| p4(X120)
| ~ r1(X119,X120) )
| p1(X119)
| p2(X119)
| p3(X119)
| p4(X119)
| ~ r1(X0,X119) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X122] :
( ~ ! [X123] :
( ~ ( ! [X124] :
( ! [X125] :
( ! [X126] :
( $false
| ~ r1(X125,X126) )
| p1(X125)
| p2(X125)
| p3(X125)
| p4(X125)
| ~ r1(X124,X125) )
| p1(X124)
| p2(X124)
| p3(X124)
| p4(X124)
| ~ r1(X123,X124) )
| p1(X123)
| p2(X123)
| p3(X123)
| p4(X123) )
| ! [X127] :
( ! [X128] :
( ! [X129] :
( ! [X130] :
( $false
| ~ r1(X129,X130) )
| p1(X129)
| p2(X129)
| p3(X129)
| p4(X129)
| ~ r1(X128,X129) )
| p1(X128)
| p2(X128)
| p3(X128)
| p4(X128)
| ~ r1(X127,X128) )
| p1(X127)
| p2(X127)
| p3(X127)
| p4(X127)
| ~ r1(X123,X127) )
| ~ r1(X122,X123) )
| ! [X131] :
( ! [X132] :
( ! [X133] :
( $false
| ~ r1(X132,X133) )
| p1(X132)
| p2(X132)
| p3(X132)
| p4(X132)
| ~ r1(X131,X132) )
| p1(X131)
| p2(X131)
| p3(X131)
| p4(X131)
| ~ r1(X122,X131) )
| p1(X122)
| p2(X122)
| p3(X122)
| p4(X122)
| ~ r1(X0,X122) )
| ! [X134] :
( ! [X135] :
( ! [X136] :
( $false
| ~ r1(X135,X136) )
| p1(X135)
| p2(X135)
| p3(X135)
| p4(X135)
| ~ r1(X134,X135) )
| p1(X134)
| p2(X134)
| p3(X134)
| p4(X134)
| ~ r1(X0,X134) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X137] :
( ~ ! [X138] :
( ~ ( ! [X139] :
( ! [X140] :
( ! [X141] :
( ! [X142] :
( $false
| ~ r1(X141,X142) )
| p1(X141)
| p2(X141)
| p3(X141)
| p4(X141)
| ~ r1(X140,X141) )
| p1(X140)
| p2(X140)
| p3(X140)
| p4(X140)
| ~ r1(X139,X140) )
| p1(X139)
| p2(X139)
| p3(X139)
| p4(X139)
| ~ r1(X138,X139) )
| p1(X138) )
| ! [X143] :
( ! [X144] :
( ! [X145] :
( ! [X146] :
( ! [X147] :
( $false
| ~ r1(X146,X147) )
| p1(X146)
| p2(X146)
| p3(X146)
| p4(X146)
| ~ r1(X145,X146) )
| p1(X145)
| p2(X145)
| p3(X145)
| p4(X145)
| ~ r1(X144,X145) )
| p1(X144)
| p2(X144)
| p3(X144)
| p4(X144)
| ~ r1(X143,X144) )
| p1(X143)
| ~ r1(X138,X143) )
| ~ r1(X137,X138) )
| ! [X148] :
( ! [X149] :
( ! [X150] :
( ! [X151] :
( $false
| ~ r1(X150,X151) )
| p1(X150)
| p2(X150)
| p3(X150)
| p4(X150)
| ~ r1(X149,X150) )
| p1(X149)
| p2(X149)
| p3(X149)
| p4(X149)
| ~ r1(X148,X149) )
| p1(X148)
| p2(X148)
| p3(X148)
| p4(X148)
| ~ r1(X137,X148) )
| p1(X137)
| ~ r1(X0,X137) )
| ! [X152] :
( ! [X153] :
( ! [X154] :
( ! [X155] :
( $false
| ~ r1(X154,X155) )
| p1(X154)
| p2(X154)
| p3(X154)
| p4(X154)
| ~ r1(X153,X154) )
| p1(X153)
| p2(X153)
| p3(X153)
| p4(X153)
| ~ r1(X152,X153) )
| p1(X152)
| p2(X152)
| p3(X152)
| p4(X152)
| ~ r1(X0,X152) )
| p1(X0) )
& ( ~ ! [X156] :
( ~ ! [X157] :
( ~ ( ! [X158] :
( ! [X159] :
( ! [X160] :
( ! [X161] :
( $false
| ~ r1(X160,X161) )
| p1(X160)
| p2(X160)
| p3(X160)
| p4(X160)
| ~ r1(X159,X160) )
| p1(X159)
| p2(X159)
| p3(X159)
| p4(X159)
| ~ r1(X158,X159) )
| p1(X158)
| p2(X158)
| p3(X158)
| p4(X158)
| ~ r1(X157,X158) )
| p1(X157)
| p2(X157) )
| ! [X162] :
( ! [X163] :
( ! [X164] :
( ! [X165] :
( ! [X166] :
( $false
| ~ r1(X165,X166) )
| p1(X165)
| p2(X165)
| p3(X165)
| p4(X165)
| ~ r1(X164,X165) )
| p1(X164)
| p2(X164)
| p3(X164)
| p4(X164)
| ~ r1(X163,X164) )
| p1(X163)
| p2(X163)
| p3(X163)
| p4(X163)
| ~ r1(X162,X163) )
| p1(X162)
| p2(X162)
| ~ r1(X157,X162) )
| ~ r1(X156,X157) )
| ! [X167] :
( ! [X168] :
( ! [X169] :
( ! [X170] :
( $false
| ~ r1(X169,X170) )
| p1(X169)
| p2(X169)
| p3(X169)
| p4(X169)
| ~ r1(X168,X169) )
| p1(X168)
| p2(X168)
| p3(X168)
| p4(X168)
| ~ r1(X167,X168) )
| p1(X167)
| p2(X167)
| p3(X167)
| p4(X167)
| ~ r1(X156,X167) )
| p1(X156)
| p2(X156)
| ~ r1(X0,X156) )
| ! [X171] :
( ! [X172] :
( ! [X173] :
( ! [X174] :
( $false
| ~ r1(X173,X174) )
| p1(X173)
| p2(X173)
| p3(X173)
| p4(X173)
| ~ r1(X172,X173) )
| p1(X172)
| p2(X172)
| p3(X172)
| p4(X172)
| ~ r1(X171,X172) )
| p1(X171)
| p2(X171)
| p3(X171)
| p4(X171)
| ~ r1(X0,X171) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X175] :
( ~ ! [X176] :
( ~ ( ( ~ ! [X177] :
( ~ p2(X177)
| ! [X178] :
( p2(X178)
| ~ r1(X177,X178) )
| ~ r1(X176,X177) )
| p2(X176) )
& ( ~ ! [X179] :
( ~ ! [X180] :
( ~ p2(X180)
| ! [X181] :
( p2(X181)
| ~ r1(X180,X181) )
| ~ r1(X179,X180) )
| p2(X179)
| ~ r1(X176,X179) )
| ! [X182] :
( ! [X183] :
( ~ ! [X184] :
( ~ p2(X184)
| ! [X185] :
( p2(X185)
| ~ r1(X184,X185) )
| ~ r1(X183,X184) )
| p2(X183)
| ~ r1(X182,X183) )
| ~ r1(X176,X182) ) ) )
| ! [X186] :
( ( ( ~ ! [X187] :
( ~ p2(X187)
| ! [X188] :
( p2(X188)
| ~ r1(X187,X188) )
| ~ r1(X186,X187) )
| p2(X186) )
& ( ~ ! [X189] :
( ~ ! [X190] :
( ~ p2(X190)
| ! [X191] :
( p2(X191)
| ~ r1(X190,X191) )
| ~ r1(X189,X190) )
| p2(X189)
| ~ r1(X186,X189) )
| ! [X192] :
( ! [X193] :
( ~ ! [X194] :
( ~ p2(X194)
| ! [X195] :
( p2(X195)
| ~ r1(X194,X195) )
| ~ r1(X193,X194) )
| p2(X193)
| ~ r1(X192,X193) )
| ~ r1(X186,X192) ) ) )
| ~ r1(X176,X186) )
| ~ r1(X175,X176) )
| ( ( ~ ! [X196] :
( ~ p2(X196)
| ! [X197] :
( p2(X197)
| ~ r1(X196,X197) )
| ~ r1(X175,X196) )
| p2(X175) )
& ( ~ ! [X198] :
( ~ ! [X199] :
( ~ p2(X199)
| ! [X200] :
( p2(X200)
| ~ r1(X199,X200) )
| ~ r1(X198,X199) )
| p2(X198)
| ~ r1(X175,X198) )
| ! [X201] :
( ! [X202] :
( ~ ! [X203] :
( ~ p2(X203)
| ! [X204] :
( p2(X204)
| ~ r1(X203,X204) )
| ~ r1(X202,X203) )
| p2(X202)
| ~ r1(X201,X202) )
| ~ r1(X175,X201) ) ) )
| ~ r1(X0,X175) )
| ( ( ~ ! [X205] :
( ~ p2(X205)
| ! [X206] :
( p2(X206)
| ~ r1(X205,X206) )
| ~ r1(X0,X205) )
| p2(X0) )
& ( ~ ! [X207] :
( ~ ! [X208] :
( ~ p2(X208)
| ! [X209] :
( p2(X209)
| ~ r1(X208,X209) )
| ~ r1(X207,X208) )
| p2(X207)
| ~ r1(X0,X207) )
| ! [X210] :
( ! [X211] :
( ~ ! [X212] :
( ~ p2(X212)
| ! [X213] :
( p2(X213)
| ~ r1(X212,X213) )
| ~ r1(X211,X212) )
| p2(X211)
| ~ r1(X210,X211) )
| ~ r1(X0,X210) ) ) ) ) )
| ~ ! [X214] :
( ~ ! [X215] :
( ~ p1(X215)
| ! [X216] :
( p1(X216)
| ~ r1(X215,X216) )
| ~ r1(X214,X215) )
| p1(X214)
| ~ r1(X0,X214) )
| ! [X217] :
( p1(X217)
| ~ r1(X0,X217) )
| ( ( ~ ! [X218] :
( ~ ! [X219] :
( ~ p2(X219)
| ! [X220] :
( p2(X220)
| ~ r1(X219,X220) )
| ~ r1(X218,X219) )
| p2(X218)
| ~ r1(X0,X218) )
| ! [X221] :
( p2(X221)
| ~ r1(X0,X221) ) )
& ~ ! [X222] :
( ~ ! [X223] :
( ~ p5(X223)
| ~ r1(X222,X223) )
| ~ r1(X0,X222) ) )
| ~ ! [X224] :
( ~ ! [X225] :
( ~ p3(X225)
| ! [X226] :
( p3(X226)
| ~ r1(X225,X226) )
| ~ r1(X224,X225) )
| p3(X224)
| ~ r1(X0,X224) )
| ! [X227] :
( p3(X227)
| ~ r1(X0,X227) )
| ( ( ~ ! [X228] :
( ~ ! [X229] :
( ~ p2(X229)
| ! [X230] :
( p2(X230)
| ~ r1(X229,X230) )
| ~ r1(X228,X229) )
| p2(X228)
| ~ r1(X0,X228) )
| ! [X231] :
( p2(X231)
| ~ r1(X0,X231) ) )
& ~ ! [X232] :
( ~ p5(X232)
| ~ r1(X0,X232) ) ) ),
inference(rectify,[],[f3]) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) )
| ! [X1] :
( ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) ) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
& ~ ! [X1] :
( ~ ! [X0] :
( ~ p5(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p3(X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
& ~ ! [X1] :
( ~ p5(X1)
| ~ r1(X0,X1) ) ) ),
inference(negated_conjecture,[],[f2]) ).
fof(f2,conjecture,
~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) )
| ! [X1] :
( ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) ) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
& ~ ! [X1] :
( ~ ! [X0] :
( ~ p5(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p3(X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
& ~ ! [X1] :
( ~ p5(X1)
| ~ r1(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f30871,plain,
( p2(sK172(sK186))
| ~ spl187_3727 ),
inference(avatar_component_clause,[],[f30869]) ).
fof(f30869,plain,
( spl187_3727
<=> p2(sK172(sK186)) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_3727])]) ).
fof(f33566,plain,
( ~ spl187_45
| ~ spl187_148
| ~ spl187_3799
| ~ spl187_3812 ),
inference(avatar_contradiction_clause,[],[f33565]) ).
fof(f33565,plain,
( $false
| ~ spl187_45
| ~ spl187_148
| ~ spl187_3799
| ~ spl187_3812 ),
inference(subsumption_resolution,[],[f33560,f1048]) ).
fof(f33560,plain,
( ~ r1(sK171,sK186)
| ~ spl187_148
| ~ spl187_3799
| ~ spl187_3812 ),
inference(resolution,[],[f33054,f31898]) ).
fof(f31898,plain,
( r1(sK186,sK172(sK186))
| ~ spl187_3799 ),
inference(avatar_component_clause,[],[f31897]) ).
fof(f31897,plain,
( spl187_3799
<=> r1(sK186,sK172(sK186)) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_3799])]) ).
fof(f33054,plain,
( ! [X0] :
( ~ r1(X0,sK172(sK186))
| ~ r1(sK171,X0) )
| ~ spl187_148
| ~ spl187_3812 ),
inference(resolution,[],[f32028,f1729]) ).
fof(f1729,plain,
( sP3(sK171)
| ~ spl187_148 ),
inference(avatar_component_clause,[],[f1727]) ).
fof(f1727,plain,
( spl187_148
<=> sP3(sK171) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_148])]) ).
fof(f32028,plain,
( ! [X0,X1] :
( ~ sP3(X1)
| ~ r1(X0,sK172(sK186))
| ~ r1(X1,X0) )
| ~ spl187_3812 ),
inference(avatar_component_clause,[],[f32027]) ).
fof(f32027,plain,
( spl187_3812
<=> ! [X0,X1] :
( ~ r1(X0,sK172(sK186))
| ~ sP3(X1)
| ~ r1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_3812])]) ).
fof(f32029,plain,
( spl187_3812
| spl187_3727
| ~ spl187_3797 ),
inference(avatar_split_clause,[],[f32022,f31887,f30869,f32027]) ).
fof(f31887,plain,
( spl187_3797
<=> p2(sK165(sK172(sK186))) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_3797])]) ).
fof(f32022,plain,
( ! [X0,X1] :
( p2(sK172(sK186))
| ~ r1(X0,sK172(sK186))
| ~ r1(X1,X0)
| ~ sP3(X1) )
| ~ spl187_3797 ),
inference(resolution,[],[f31889,f780]) ).
fof(f780,plain,
! [X2,X0,X1] :
( ~ p2(sK165(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f379]) ).
fof(f379,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( p2(sK164(X2))
& ~ p2(sK165(X2))
& r1(sK164(X2),sK165(X2))
& r1(X2,sK164(X2)) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK164,sK165])],[f376,f378,f377]) ).
fof(f377,plain,
! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& r1(X2,X3) )
=> ( p2(sK164(X2))
& ? [X4] :
( ~ p2(X4)
& r1(sK164(X2),X4) )
& r1(X2,sK164(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f378,plain,
! [X2] :
( ? [X4] :
( ~ p2(X4)
& r1(sK164(X2),X4) )
=> ( ~ p2(sK165(X2))
& r1(sK164(X2),sK165(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f376,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP3(X0) ),
inference(rectify,[],[f375]) ).
fof(f375,plain,
! [X0] :
( ! [X210] :
( ! [X211] :
( ? [X212] :
( p2(X212)
& ? [X213] :
( ~ p2(X213)
& r1(X212,X213) )
& r1(X211,X212) )
| p2(X211)
| ~ r1(X210,X211) )
| ~ r1(X0,X210) )
| ~ sP3(X0) ),
inference(nnf_transformation,[],[f12]) ).
fof(f31889,plain,
( p2(sK165(sK172(sK186)))
| ~ spl187_3797 ),
inference(avatar_component_clause,[],[f31887]) ).
fof(f31984,plain,
( spl187_44
| ~ spl187_45
| spl187_3799 ),
inference(avatar_contradiction_clause,[],[f31983]) ).
fof(f31983,plain,
( $false
| spl187_44
| ~ spl187_45
| spl187_3799 ),
inference(subsumption_resolution,[],[f31982,f1048]) ).
fof(f31982,plain,
( ~ r1(sK171,sK186)
| spl187_44
| spl187_3799 ),
inference(subsumption_resolution,[],[f31981,f1043]) ).
fof(f31981,plain,
( p2(sK186)
| ~ r1(sK171,sK186)
| spl187_3799 ),
inference(resolution,[],[f31899,f839]) ).
fof(f839,plain,
! [X1] :
( r1(X1,sK172(X1))
| p2(X1)
| ~ r1(sK171,X1) ),
inference(cnf_transformation,[],[f411]) ).
fof(f31899,plain,
( ~ r1(sK186,sK172(sK186))
| spl187_3799 ),
inference(avatar_component_clause,[],[f31897]) ).
fof(f31900,plain,
( ~ spl187_3799
| spl187_3727
| spl187_3797
| ~ spl187_45
| ~ spl187_148
| ~ spl187_3764 ),
inference(avatar_split_clause,[],[f31847,f31385,f1727,f1046,f31887,f30869,f31897]) ).
fof(f31385,plain,
( spl187_3764
<=> ! [X0] :
( p2(X0)
| ~ r1(sK164(sK172(sK186)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_3764])]) ).
fof(f31847,plain,
( p2(sK165(sK172(sK186)))
| p2(sK172(sK186))
| ~ r1(sK186,sK172(sK186))
| ~ spl187_45
| ~ spl187_148
| ~ spl187_3764 ),
inference(resolution,[],[f31386,f30418]) ).
fof(f30418,plain,
( ! [X0] :
( r1(sK164(X0),sK165(X0))
| p2(X0)
| ~ r1(sK186,X0) )
| ~ spl187_45
| ~ spl187_148 ),
inference(resolution,[],[f30336,f1048]) ).
fof(f30336,plain,
( ! [X0,X1] :
( ~ r1(sK171,X1)
| ~ r1(X1,X0)
| p2(X0)
| r1(sK164(X0),sK165(X0)) )
| ~ spl187_148 ),
inference(resolution,[],[f1729,f779]) ).
fof(f779,plain,
! [X2,X0,X1] :
( ~ sP3(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| r1(sK164(X2),sK165(X2)) ),
inference(cnf_transformation,[],[f379]) ).
fof(f31386,plain,
( ! [X0] :
( ~ r1(sK164(sK172(sK186)),X0)
| p2(X0) )
| ~ spl187_3764 ),
inference(avatar_component_clause,[],[f31385]) ).
fof(f31844,plain,
( spl187_44
| ~ spl187_45
| ~ spl187_3751
| ~ spl187_3763 ),
inference(avatar_contradiction_clause,[],[f31843]) ).
fof(f31843,plain,
( $false
| spl187_44
| ~ spl187_45
| ~ spl187_3751
| ~ spl187_3763 ),
inference(subsumption_resolution,[],[f31842,f1043]) ).
fof(f31842,plain,
( p2(sK186)
| ~ spl187_45
| ~ spl187_3751
| ~ spl187_3763 ),
inference(subsumption_resolution,[],[f31841,f1048]) ).
fof(f31841,plain,
( ~ r1(sK171,sK186)
| p2(sK186)
| ~ spl187_3751
| ~ spl187_3763 ),
inference(resolution,[],[f31383,f31223]) ).
fof(f31223,plain,
( r1(sK172(sK186),sK164(sK172(sK186)))
| ~ spl187_3751 ),
inference(avatar_component_clause,[],[f31221]) ).
fof(f31221,plain,
( spl187_3751
<=> r1(sK172(sK186),sK164(sK172(sK186))) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_3751])]) ).
fof(f31383,plain,
( ! [X1] :
( ~ r1(sK172(X1),sK164(sK172(sK186)))
| ~ r1(sK171,X1)
| p2(X1) )
| ~ spl187_3763 ),
inference(avatar_component_clause,[],[f31382]) ).
fof(f31382,plain,
( spl187_3763
<=> ! [X1] :
( ~ r1(sK172(X1),sK164(sK172(sK186)))
| ~ r1(sK171,X1)
| p2(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_3763])]) ).
fof(f31387,plain,
( spl187_3763
| spl187_3764
| ~ spl187_3726 ),
inference(avatar_split_clause,[],[f31378,f30865,f31385,f31382]) ).
fof(f30865,plain,
( spl187_3726
<=> p2(sK164(sK172(sK186))) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_3726])]) ).
fof(f31378,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK164(sK172(sK186)),X0)
| ~ r1(sK172(X1),sK164(sK172(sK186)))
| p2(X1)
| ~ r1(sK171,X1) )
| ~ spl187_3726 ),
inference(resolution,[],[f30867,f841]) ).
fof(f841,plain,
! [X3,X1,X4] :
( ~ p2(X3)
| p2(X4)
| ~ r1(X3,X4)
| ~ r1(sK172(X1),X3)
| p2(X1)
| ~ r1(sK171,X1) ),
inference(cnf_transformation,[],[f411]) ).
fof(f30867,plain,
( p2(sK164(sK172(sK186)))
| ~ spl187_3726 ),
inference(avatar_component_clause,[],[f30865]) ).
fof(f31224,plain,
( spl187_3751
| spl187_3727
| spl187_44
| ~ spl187_45
| ~ spl187_148 ),
inference(avatar_split_clause,[],[f31219,f1727,f1046,f1041,f30869,f31221]) ).
fof(f31219,plain,
( p2(sK172(sK186))
| r1(sK172(sK186),sK164(sK172(sK186)))
| spl187_44
| ~ spl187_45
| ~ spl187_148 ),
inference(subsumption_resolution,[],[f31218,f1048]) ).
fof(f31218,plain,
( p2(sK172(sK186))
| r1(sK172(sK186),sK164(sK172(sK186)))
| ~ r1(sK171,sK186)
| spl187_44
| ~ spl187_45
| ~ spl187_148 ),
inference(subsumption_resolution,[],[f31106,f1043]) ).
fof(f31106,plain,
( p2(sK172(sK186))
| r1(sK172(sK186),sK164(sK172(sK186)))
| p2(sK186)
| ~ r1(sK171,sK186)
| ~ spl187_45
| ~ spl187_148 ),
inference(resolution,[],[f30381,f839]) ).
fof(f30381,plain,
( ! [X0] :
( ~ r1(sK186,X0)
| p2(X0)
| r1(X0,sK164(X0)) )
| ~ spl187_45
| ~ spl187_148 ),
inference(resolution,[],[f30335,f1048]) ).
fof(f30335,plain,
( ! [X0,X1] :
( ~ r1(sK171,X1)
| ~ r1(X1,X0)
| p2(X0)
| r1(X0,sK164(X0)) )
| ~ spl187_148 ),
inference(resolution,[],[f1729,f778]) ).
fof(f778,plain,
! [X2,X0,X1] :
( ~ sP3(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| r1(X2,sK164(X2)) ),
inference(cnf_transformation,[],[f379]) ).
fof(f30872,plain,
( spl187_3726
| spl187_3727
| spl187_44
| ~ spl187_45
| ~ spl187_148 ),
inference(avatar_split_clause,[],[f30863,f1727,f1046,f1041,f30869,f30865]) ).
fof(f30863,plain,
( p2(sK172(sK186))
| p2(sK164(sK172(sK186)))
| spl187_44
| ~ spl187_45
| ~ spl187_148 ),
inference(subsumption_resolution,[],[f30862,f1048]) ).
fof(f30862,plain,
( p2(sK172(sK186))
| p2(sK164(sK172(sK186)))
| ~ r1(sK171,sK186)
| spl187_44
| ~ spl187_45
| ~ spl187_148 ),
inference(subsumption_resolution,[],[f30600,f1043]) ).
fof(f30600,plain,
( p2(sK172(sK186))
| p2(sK164(sK172(sK186)))
| p2(sK186)
| ~ r1(sK171,sK186)
| ~ spl187_45
| ~ spl187_148 ),
inference(resolution,[],[f30344,f839]) ).
fof(f30344,plain,
( ! [X0] :
( ~ r1(sK186,X0)
| p2(X0)
| p2(sK164(X0)) )
| ~ spl187_45
| ~ spl187_148 ),
inference(resolution,[],[f30337,f1048]) ).
fof(f30337,plain,
( ! [X0,X1] :
( ~ r1(sK171,X1)
| ~ r1(X1,X0)
| p2(X0)
| p2(sK164(X0)) )
| ~ spl187_148 ),
inference(resolution,[],[f1729,f781]) ).
fof(f781,plain,
! [X2,X0,X1] :
( ~ sP3(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| p2(sK164(X2)) ),
inference(cnf_transformation,[],[f379]) ).
fof(f30334,plain,
( spl187_147
| spl187_148
| ~ spl187_35 ),
inference(avatar_split_clause,[],[f29457,f1002,f1727,f1723]) ).
fof(f1723,plain,
( spl187_147
<=> r1(sK171,sK148(sK171)) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_147])]) ).
fof(f1002,plain,
( spl187_35
<=> sP14(sK171) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_35])]) ).
fof(f29457,plain,
( sP3(sK171)
| r1(sK171,sK148(sK171))
| ~ spl187_35 ),
inference(resolution,[],[f1004,f734]) ).
fof(f734,plain,
! [X0] :
( ~ sP14(X0)
| sP3(X0)
| r1(X0,sK148(X0)) ),
inference(cnf_transformation,[],[f331]) ).
fof(f331,plain,
! [X0] :
( ( sP4(X0)
& ( ( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ r1(sK148(X0),X2) )
& ~ p2(sK148(X0))
& r1(X0,sK148(X0)) )
| sP3(X0) ) )
| ~ sP14(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK148])],[f329,f330]) ).
fof(f330,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p2(X1)
& r1(X0,X1) )
=> ( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ r1(sK148(X0),X2) )
& ~ p2(sK148(X0))
& r1(X0,sK148(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f329,plain,
! [X0] :
( ( sP4(X0)
& ( ? [X1] :
( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p2(X1)
& r1(X0,X1) )
| sP3(X0) ) )
| ~ sP14(X0) ),
inference(rectify,[],[f328]) ).
fof(f328,plain,
! [X0] :
( ( sP4(X0)
& ( ? [X207] :
( ! [X208] :
( ~ p2(X208)
| ! [X209] :
( p2(X209)
| ~ r1(X208,X209) )
| ~ r1(X207,X208) )
& ~ p2(X207)
& r1(X0,X207) )
| sP3(X0) ) )
| ~ sP14(X0) ),
inference(nnf_transformation,[],[f23]) ).
fof(f1004,plain,
( sP14(sK171)
| ~ spl187_35 ),
inference(avatar_component_clause,[],[f1002]) ).
fof(f30333,plain,
( ~ spl187_43
| ~ spl187_147
| spl187_738
| ~ spl187_3639 ),
inference(avatar_contradiction_clause,[],[f30332]) ).
fof(f30332,plain,
( $false
| ~ spl187_43
| ~ spl187_147
| spl187_738
| ~ spl187_3639 ),
inference(subsumption_resolution,[],[f30331,f1725]) ).
fof(f1725,plain,
( r1(sK171,sK148(sK171))
| ~ spl187_147 ),
inference(avatar_component_clause,[],[f1723]) ).
fof(f30331,plain,
( ~ r1(sK171,sK148(sK171))
| ~ spl187_43
| ~ spl187_147
| spl187_738
| ~ spl187_3639 ),
inference(resolution,[],[f30186,f1038]) ).
fof(f30186,plain,
( ! [X0] :
( ~ sP0(X0)
| ~ r1(X0,sK148(sK171)) )
| ~ spl187_43
| ~ spl187_147
| spl187_738
| ~ spl187_3639 ),
inference(subsumption_resolution,[],[f30182,f6142]) ).
fof(f6142,plain,
( ~ p2(sK148(sK171))
| spl187_738 ),
inference(avatar_component_clause,[],[f6141]) ).
fof(f6141,plain,
( spl187_738
<=> p2(sK148(sK171)) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_738])]) ).
fof(f30182,plain,
( ! [X0] :
( p2(sK148(sK171))
| ~ r1(X0,sK148(sK171))
| ~ sP0(X0) )
| ~ spl187_43
| ~ spl187_147
| spl187_738
| ~ spl187_3639 ),
inference(resolution,[],[f30117,f791]) ).
fof(f30117,plain,
( p2(sK170(sK148(sK171)))
| ~ spl187_43
| ~ spl187_147
| spl187_738
| ~ spl187_3639 ),
inference(subsumption_resolution,[],[f30116,f6142]) ).
fof(f30116,plain,
( p2(sK170(sK148(sK171)))
| p2(sK148(sK171))
| ~ spl187_43
| ~ spl187_147
| ~ spl187_3639 ),
inference(subsumption_resolution,[],[f30084,f1725]) ).
fof(f30084,plain,
( p2(sK170(sK148(sK171)))
| ~ r1(sK171,sK148(sK171))
| p2(sK148(sK171))
| ~ spl187_43
| ~ spl187_3639 ),
inference(resolution,[],[f29952,f29461]) ).
fof(f29952,plain,
( ! [X0] :
( ~ r1(sK169(sK148(sK171)),X0)
| p2(X0) )
| ~ spl187_3639 ),
inference(avatar_component_clause,[],[f29951]) ).
fof(f29951,plain,
( spl187_3639
<=> ! [X0] :
( p2(X0)
| ~ r1(sK169(sK148(sK171)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_3639])]) ).
fof(f29964,plain,
( spl187_3641
| ~ spl187_43
| ~ spl187_147
| spl187_738 ),
inference(avatar_split_clause,[],[f29604,f6141,f1723,f1036,f29960]) ).
fof(f29960,plain,
( spl187_3641
<=> r1(sK148(sK171),sK169(sK148(sK171))) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_3641])]) ).
fof(f29604,plain,
( r1(sK148(sK171),sK169(sK148(sK171)))
| ~ spl187_43
| ~ spl187_147
| spl187_738 ),
inference(subsumption_resolution,[],[f29566,f6142]) ).
fof(f29566,plain,
( p2(sK148(sK171))
| r1(sK148(sK171),sK169(sK148(sK171)))
| ~ spl187_43
| ~ spl187_147 ),
inference(resolution,[],[f29462,f1725]) ).
fof(f29963,plain,
( ~ spl187_3641
| spl187_3639
| ~ spl187_43
| ~ spl187_147
| spl187_738
| ~ spl187_875 ),
inference(avatar_split_clause,[],[f29946,f6861,f6141,f1723,f1036,f29951,f29960]) ).
fof(f6861,plain,
( spl187_875
<=> ! [X0,X1] :
( p2(X0)
| ~ p2(X1)
| ~ r1(sK148(sK171),X1)
| ~ r1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_875])]) ).
fof(f29946,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK148(sK171),sK169(sK148(sK171)))
| ~ r1(sK169(sK148(sK171)),X0) )
| ~ spl187_43
| ~ spl187_147
| spl187_738
| ~ spl187_875 ),
inference(resolution,[],[f29546,f6862]) ).
fof(f6862,plain,
( ! [X0,X1] :
( ~ p2(X1)
| p2(X0)
| ~ r1(sK148(sK171),X1)
| ~ r1(X1,X0) )
| ~ spl187_875 ),
inference(avatar_component_clause,[],[f6861]) ).
fof(f29546,plain,
( p2(sK169(sK148(sK171)))
| ~ spl187_43
| ~ spl187_147
| spl187_738 ),
inference(subsumption_resolution,[],[f29508,f6142]) ).
fof(f29508,plain,
( p2(sK148(sK171))
| p2(sK169(sK148(sK171)))
| ~ spl187_43
| ~ spl187_147 ),
inference(resolution,[],[f29463,f1725]) ).
fof(f29460,plain,
( spl187_875
| ~ spl187_35
| spl187_148 ),
inference(avatar_split_clause,[],[f29459,f1727,f1002,f6861]) ).
fof(f29459,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(X1,X0)
| ~ r1(sK148(sK171),X1)
| ~ p2(X1) )
| ~ spl187_35
| spl187_148 ),
inference(subsumption_resolution,[],[f29456,f1728]) ).
fof(f1728,plain,
( ~ sP3(sK171)
| spl187_148 ),
inference(avatar_component_clause,[],[f1727]) ).
fof(f29456,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(X1,X0)
| ~ r1(sK148(sK171),X1)
| sP3(sK171)
| ~ p2(X1) )
| ~ spl187_35 ),
inference(resolution,[],[f1004,f736]) ).
fof(f736,plain,
! [X2,X3,X0] :
( ~ sP14(X0)
| p2(X3)
| ~ r1(X2,X3)
| ~ r1(sK148(X0),X2)
| sP3(X0)
| ~ p2(X2) ),
inference(cnf_transformation,[],[f331]) ).
fof(f29422,plain,
( ~ spl187_151
| ~ spl187_633 ),
inference(avatar_contradiction_clause,[],[f29421]) ).
fof(f29421,plain,
( $false
| ~ spl187_151
| ~ spl187_633 ),
inference(subsumption_resolution,[],[f29418,f1745]) ).
fof(f1745,plain,
( sP5(sK178)
| ~ spl187_151 ),
inference(avatar_component_clause,[],[f1743]) ).
fof(f29418,plain,
( ~ sP5(sK178)
| ~ spl187_633 ),
inference(resolution,[],[f5437,f772]) ).
fof(f772,plain,
! [X0] :
( ~ p2(sK161(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f369]) ).
fof(f369,plain,
! [X0] :
( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK161(X0),X3) )
& ~ p2(sK161(X0))
& r1(sK160(X0),sK161(X0))
& r1(X0,sK160(X0)) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK160,sK161])],[f366,f368,f367]) ).
fof(f367,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
=> ( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(sK160(X0),X2) )
& r1(X0,sK160(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f368,plain,
! [X0] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(sK160(X0),X2) )
=> ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK161(X0),X3) )
& ~ p2(sK161(X0))
& r1(sK160(X0),sK161(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f366,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
| ~ sP5(X0) ),
inference(rectify,[],[f365]) ).
fof(f365,plain,
! [X175] :
( ? [X201] :
( ? [X202] :
( ! [X203] :
( ~ p2(X203)
| ! [X204] :
( p2(X204)
| ~ r1(X203,X204) )
| ~ r1(X202,X203) )
& ~ p2(X202)
& r1(X201,X202) )
& r1(X175,X201) )
| ~ sP5(X175) ),
inference(nnf_transformation,[],[f14]) ).
fof(f5437,plain,
( p2(sK161(sK178))
| ~ spl187_633 ),
inference(avatar_component_clause,[],[f5435]) ).
fof(f5435,plain,
( spl187_633
<=> p2(sK161(sK178)) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_633])]) ).
fof(f29392,plain,
( spl187_432
| spl187_1750
| ~ spl187_36
| spl187_433
| ~ spl187_1550 ),
inference(avatar_split_clause,[],[f29391,f12388,f3856,f1006,f14670,f3850]) ).
fof(f3850,plain,
( spl187_432
<=> sP11(sK160(sK178)) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_432])]) ).
fof(f14670,plain,
( spl187_1750
<=> ! [X0,X1] :
( ~ r1(X0,X1)
| ~ p2(X0)
| p2(X1)
| ~ r1(sK160(sK178),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_1750])]) ).
fof(f1006,plain,
( spl187_36
<=> sP13(sK178) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_36])]) ).
fof(f3856,plain,
( spl187_433
<=> sP10(sK160(sK178)) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_433])]) ).
fof(f12388,plain,
( spl187_1550
<=> r1(sK178,sK160(sK178)) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_1550])]) ).
fof(f29391,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| ~ r1(sK160(sK178),X0)
| sP11(sK160(sK178))
| p2(X1)
| ~ p2(X0) )
| ~ spl187_36
| spl187_433
| ~ spl187_1550 ),
inference(subsumption_resolution,[],[f14327,f3857]) ).
fof(f3857,plain,
( ~ sP10(sK160(sK178))
| spl187_433 ),
inference(avatar_component_clause,[],[f3856]) ).
fof(f14327,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| ~ r1(sK160(sK178),X0)
| sP10(sK160(sK178))
| sP11(sK160(sK178))
| p2(X1)
| ~ p2(X0) )
| ~ spl187_36
| ~ spl187_1550 ),
inference(resolution,[],[f12389,f13906]) ).
fof(f13906,plain,
( ! [X2,X0,X1] :
( ~ r1(sK178,X2)
| ~ r1(X1,X0)
| ~ r1(X2,X1)
| sP10(X2)
| sP11(X2)
| p2(X0)
| ~ p2(X1) )
| ~ spl187_36 ),
inference(resolution,[],[f1008,f741]) ).
fof(f741,plain,
! [X2,X3,X0,X1] :
( ~ sP13(X0)
| p2(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| sP10(X1)
| sP11(X1)
| ~ r1(X0,X1)
| ~ p2(X2) ),
inference(cnf_transformation,[],[f333]) ).
fof(f333,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p2(X1) )
| ( sP10(X1)
& sP9(X1) )
| sP11(X1)
| ~ r1(X0,X1) )
| ~ sP13(X0) ),
inference(rectify,[],[f332]) ).
fof(f332,plain,
! [X175] :
( ! [X176] :
( ( ! [X177] :
( ~ p2(X177)
| ! [X178] :
( p2(X178)
| ~ r1(X177,X178) )
| ~ r1(X176,X177) )
& ~ p2(X176) )
| ( sP10(X176)
& sP9(X176) )
| sP11(X176)
| ~ r1(X175,X176) )
| ~ sP13(X175) ),
inference(nnf_transformation,[],[f22]) ).
fof(f1008,plain,
( sP13(sK178)
| ~ spl187_36 ),
inference(avatar_component_clause,[],[f1006]) ).
fof(f12389,plain,
( r1(sK178,sK160(sK178))
| ~ spl187_1550 ),
inference(avatar_component_clause,[],[f12388]) ).
fof(f29390,plain,
( spl187_1753
| ~ spl187_150
| spl187_687
| ~ spl187_845
| ~ spl187_1550
| ~ spl187_1750 ),
inference(avatar_split_clause,[],[f29389,f14670,f12388,f6678,f5897,f1738,f14689]) ).
fof(f14689,plain,
( spl187_1753
<=> ! [X0] :
( p2(X0)
| ~ r1(sK158(sK160(sK178)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_1753])]) ).
fof(f5897,plain,
( spl187_687
<=> p2(sK160(sK178)) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_687])]) ).
fof(f6678,plain,
( spl187_845
<=> p2(sK158(sK160(sK178))) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_845])]) ).
fof(f29389,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK158(sK160(sK178)),X0) )
| ~ spl187_150
| spl187_687
| ~ spl187_845
| ~ spl187_1550
| ~ spl187_1750 ),
inference(subsumption_resolution,[],[f29388,f5898]) ).
fof(f5898,plain,
( ~ p2(sK160(sK178))
| spl187_687 ),
inference(avatar_component_clause,[],[f5897]) ).
fof(f29388,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK158(sK160(sK178)),X0)
| p2(sK160(sK178)) )
| ~ spl187_150
| ~ spl187_845
| ~ spl187_1550
| ~ spl187_1750 ),
inference(subsumption_resolution,[],[f29387,f12389]) ).
fof(f29387,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK158(sK160(sK178)),X0)
| ~ r1(sK178,sK160(sK178))
| p2(sK160(sK178)) )
| ~ spl187_150
| ~ spl187_845
| ~ spl187_1750 ),
inference(subsumption_resolution,[],[f29374,f6680]) ).
fof(f6680,plain,
( p2(sK158(sK160(sK178)))
| ~ spl187_845 ),
inference(avatar_component_clause,[],[f6678]) ).
fof(f29374,plain,
( ! [X0] :
( ~ p2(sK158(sK160(sK178)))
| p2(X0)
| ~ r1(sK158(sK160(sK178)),X0)
| ~ r1(sK178,sK160(sK178))
| p2(sK160(sK178)) )
| ~ spl187_150
| ~ spl187_1750 ),
inference(resolution,[],[f14671,f16527]) ).
fof(f16527,plain,
( ! [X0] :
( r1(X0,sK158(X0))
| ~ r1(sK178,X0)
| p2(X0) )
| ~ spl187_150 ),
inference(resolution,[],[f1740,f766]) ).
fof(f766,plain,
! [X0,X1] :
( ~ sP6(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK158(X1)) ),
inference(cnf_transformation,[],[f364]) ).
fof(f364,plain,
! [X0] :
( ! [X1] :
( ( p2(sK158(X1))
& ~ p2(sK159(X1))
& r1(sK158(X1),sK159(X1))
& r1(X1,sK158(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP6(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK158,sK159])],[f361,f363,f362]) ).
fof(f362,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK158(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK158(X1),X3) )
& r1(X1,sK158(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f363,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK158(X1),X3) )
=> ( ~ p2(sK159(X1))
& r1(sK158(X1),sK159(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f361,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP6(X0) ),
inference(rectify,[],[f360]) ).
fof(f360,plain,
! [X175] :
( ! [X198] :
( ? [X199] :
( p2(X199)
& ? [X200] :
( ~ p2(X200)
& r1(X199,X200) )
& r1(X198,X199) )
| p2(X198)
| ~ r1(X175,X198) )
| ~ sP6(X175) ),
inference(nnf_transformation,[],[f15]) ).
fof(f1740,plain,
( sP6(sK178)
| ~ spl187_150 ),
inference(avatar_component_clause,[],[f1738]) ).
fof(f14671,plain,
( ! [X0,X1] :
( ~ r1(sK160(sK178),X0)
| ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1) )
| ~ spl187_1750 ),
inference(avatar_component_clause,[],[f14670]) ).
fof(f28567,plain,
( ~ spl187_433
| spl187_633
| ~ spl187_2907
| ~ spl187_2910 ),
inference(avatar_split_clause,[],[f28560,f23883,f23865,f5435,f3856]) ).
fof(f23865,plain,
( spl187_2907
<=> p2(sK151(sK161(sK178))) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_2907])]) ).
fof(f23883,plain,
( spl187_2910
<=> r1(sK160(sK178),sK161(sK178)) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_2910])]) ).
fof(f28560,plain,
( ~ sP10(sK160(sK178))
| spl187_633
| ~ spl187_2907
| ~ spl187_2910 ),
inference(resolution,[],[f27061,f23884]) ).
fof(f23884,plain,
( r1(sK160(sK178),sK161(sK178))
| ~ spl187_2910 ),
inference(avatar_component_clause,[],[f23883]) ).
fof(f27061,plain,
( ! [X0] :
( ~ r1(X0,sK161(sK178))
| ~ sP10(X0) )
| spl187_633
| ~ spl187_2907 ),
inference(subsumption_resolution,[],[f27058,f5436]) ).
fof(f5436,plain,
( ~ p2(sK161(sK178))
| spl187_633 ),
inference(avatar_component_clause,[],[f5435]) ).
fof(f27058,plain,
( ! [X0] :
( p2(sK161(sK178))
| ~ r1(X0,sK161(sK178))
| ~ sP10(X0) )
| ~ spl187_2907 ),
inference(resolution,[],[f23867,f752]) ).
fof(f752,plain,
! [X0,X1] :
( ~ p2(sK151(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f344]) ).
fof(f344,plain,
! [X0] :
( ! [X1] :
( ( p2(sK150(X1))
& ~ p2(sK151(X1))
& r1(sK150(X1),sK151(X1))
& r1(X1,sK150(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP10(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK150,sK151])],[f341,f343,f342]) ).
fof(f342,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK150(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK150(X1),X3) )
& r1(X1,sK150(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f343,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK150(X1),X3) )
=> ( ~ p2(sK151(X1))
& r1(sK150(X1),sK151(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f341,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP10(X0) ),
inference(rectify,[],[f340]) ).
fof(f340,plain,
! [X176] :
( ! [X179] :
( ? [X180] :
( p2(X180)
& ? [X181] :
( ~ p2(X181)
& r1(X180,X181) )
& r1(X179,X180) )
| p2(X179)
| ~ r1(X176,X179) )
| ~ sP10(X176) ),
inference(nnf_transformation,[],[f19]) ).
fof(f23867,plain,
( p2(sK151(sK161(sK178)))
| ~ spl187_2907 ),
inference(avatar_component_clause,[],[f23865]) ).
fof(f28314,plain,
( spl187_633
| ~ spl187_1496
| ~ spl187_1497 ),
inference(avatar_contradiction_clause,[],[f28313]) ).
fof(f28313,plain,
( $false
| spl187_633
| ~ spl187_1496
| ~ spl187_1497 ),
inference(subsumption_resolution,[],[f28312,f11764]) ).
fof(f11764,plain,
( sP8(sK161(sK178))
| ~ spl187_1496 ),
inference(avatar_component_clause,[],[f11763]) ).
fof(f11763,plain,
( spl187_1496
<=> sP8(sK161(sK178)) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_1496])]) ).
fof(f28312,plain,
( ~ sP8(sK161(sK178))
| spl187_633
| ~ spl187_1496
| ~ spl187_1497 ),
inference(subsumption_resolution,[],[f28309,f5436]) ).
fof(f28309,plain,
( p2(sK161(sK178))
| ~ sP8(sK161(sK178))
| spl187_633
| ~ spl187_1496
| ~ spl187_1497 ),
inference(resolution,[],[f28248,f760]) ).
fof(f760,plain,
! [X0] :
( ~ p2(sK155(X0))
| p2(X0)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f354]) ).
fof(f354,plain,
! [X0] :
( ( p2(sK154(X0))
& ~ p2(sK155(X0))
& r1(sK154(X0),sK155(X0))
& r1(X0,sK154(X0)) )
| p2(X0)
| ~ sP8(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK154,sK155])],[f351,f353,f352]) ).
fof(f352,plain,
! [X0] :
( ? [X1] :
( p2(X1)
& ? [X2] :
( ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
=> ( p2(sK154(X0))
& ? [X2] :
( ~ p2(X2)
& r1(sK154(X0),X2) )
& r1(X0,sK154(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f353,plain,
! [X0] :
( ? [X2] :
( ~ p2(X2)
& r1(sK154(X0),X2) )
=> ( ~ p2(sK155(X0))
& r1(sK154(X0),sK155(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f351,plain,
! [X0] :
( ? [X1] :
( p2(X1)
& ? [X2] :
( ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
| p2(X0)
| ~ sP8(X0) ),
inference(rectify,[],[f350]) ).
fof(f350,plain,
! [X186] :
( ? [X187] :
( p2(X187)
& ? [X188] :
( ~ p2(X188)
& r1(X187,X188) )
& r1(X186,X187) )
| p2(X186)
| ~ sP8(X186) ),
inference(nnf_transformation,[],[f17]) ).
fof(f28248,plain,
( p2(sK155(sK161(sK178)))
| spl187_633
| ~ spl187_1496
| ~ spl187_1497 ),
inference(subsumption_resolution,[],[f28247,f11764]) ).
fof(f28247,plain,
( p2(sK155(sK161(sK178)))
| ~ sP8(sK161(sK178))
| spl187_633
| ~ spl187_1497 ),
inference(subsumption_resolution,[],[f28213,f5436]) ).
fof(f28213,plain,
( p2(sK155(sK161(sK178)))
| p2(sK161(sK178))
| ~ sP8(sK161(sK178))
| ~ spl187_1497 ),
inference(resolution,[],[f11768,f759]) ).
fof(f759,plain,
! [X0] :
( r1(sK154(X0),sK155(X0))
| p2(X0)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f354]) ).
fof(f11768,plain,
( ! [X0] :
( ~ r1(sK154(sK161(sK178)),X0)
| p2(X0) )
| ~ spl187_1497 ),
inference(avatar_component_clause,[],[f11767]) ).
fof(f11767,plain,
( spl187_1497
<=> ! [X0] :
( ~ r1(sK154(sK161(sK178)),X0)
| p2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_1497])]) ).
fof(f27057,plain,
( ~ spl187_151
| spl187_2910 ),
inference(avatar_contradiction_clause,[],[f27056]) ).
fof(f27056,plain,
( $false
| ~ spl187_151
| spl187_2910 ),
inference(subsumption_resolution,[],[f27055,f1745]) ).
fof(f27055,plain,
( ~ sP5(sK178)
| spl187_2910 ),
inference(resolution,[],[f23885,f771]) ).
fof(f771,plain,
! [X0] :
( r1(sK160(X0),sK161(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f369]) ).
fof(f23885,plain,
( ~ r1(sK160(sK178),sK161(sK178))
| spl187_2910 ),
inference(avatar_component_clause,[],[f23883]) ).
fof(f23886,plain,
( ~ spl187_2910
| spl187_2907
| ~ spl187_433
| spl187_633
| ~ spl187_1784 ),
inference(avatar_split_clause,[],[f23881,f14937,f5435,f3856,f23865,f23883]) ).
fof(f14937,plain,
( spl187_1784
<=> ! [X0] :
( p2(X0)
| ~ r1(sK150(sK161(sK178)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_1784])]) ).
fof(f23881,plain,
( p2(sK151(sK161(sK178)))
| ~ r1(sK160(sK178),sK161(sK178))
| ~ spl187_433
| spl187_633
| ~ spl187_1784 ),
inference(subsumption_resolution,[],[f23823,f5436]) ).
fof(f23823,plain,
( p2(sK151(sK161(sK178)))
| ~ r1(sK160(sK178),sK161(sK178))
| p2(sK161(sK178))
| ~ spl187_433
| ~ spl187_1784 ),
inference(resolution,[],[f14938,f14926]) ).
fof(f14926,plain,
( ! [X0] :
( r1(sK150(X0),sK151(X0))
| ~ r1(sK160(sK178),X0)
| p2(X0) )
| ~ spl187_433 ),
inference(resolution,[],[f3858,f751]) ).
fof(f751,plain,
! [X0,X1] :
( ~ sP10(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(sK150(X1),sK151(X1)) ),
inference(cnf_transformation,[],[f344]) ).
fof(f3858,plain,
( sP10(sK160(sK178))
| ~ spl187_433 ),
inference(avatar_component_clause,[],[f3856]) ).
fof(f14938,plain,
( ! [X0] :
( ~ r1(sK150(sK161(sK178)),X0)
| p2(X0) )
| ~ spl187_1784 ),
inference(avatar_component_clause,[],[f14937]) ).
fof(f20862,plain,
( ~ spl187_150
| spl187_1889
| ~ spl187_1942
| ~ spl187_1945 ),
inference(avatar_contradiction_clause,[],[f20861]) ).
fof(f20861,plain,
( $false
| ~ spl187_150
| spl187_1889
| ~ spl187_1942
| ~ spl187_1945 ),
inference(subsumption_resolution,[],[f20860,f16157]) ).
fof(f16157,plain,
( r1(sK178,sK172(sK178))
| ~ spl187_1942 ),
inference(avatar_component_clause,[],[f16156]) ).
fof(f16156,plain,
( spl187_1942
<=> r1(sK178,sK172(sK178)) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_1942])]) ).
fof(f20860,plain,
( ~ r1(sK178,sK172(sK178))
| ~ spl187_150
| spl187_1889
| ~ spl187_1942
| ~ spl187_1945 ),
inference(resolution,[],[f17149,f1740]) ).
fof(f17149,plain,
( ! [X0] :
( ~ sP6(X0)
| ~ r1(X0,sK172(sK178)) )
| ~ spl187_150
| spl187_1889
| ~ spl187_1942
| ~ spl187_1945 ),
inference(subsumption_resolution,[],[f17146,f15805]) ).
fof(f15805,plain,
( ~ p2(sK172(sK178))
| spl187_1889 ),
inference(avatar_component_clause,[],[f15804]) ).
fof(f15804,plain,
( spl187_1889
<=> p2(sK172(sK178)) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_1889])]) ).
fof(f17146,plain,
( ! [X0] :
( p2(sK172(sK178))
| ~ r1(X0,sK172(sK178))
| ~ sP6(X0) )
| ~ spl187_150
| spl187_1889
| ~ spl187_1942
| ~ spl187_1945 ),
inference(resolution,[],[f16983,f768]) ).
fof(f768,plain,
! [X0,X1] :
( ~ p2(sK159(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f364]) ).
fof(f16983,plain,
( p2(sK159(sK172(sK178)))
| ~ spl187_150
| spl187_1889
| ~ spl187_1942
| ~ spl187_1945 ),
inference(subsumption_resolution,[],[f16982,f15805]) ).
fof(f16982,plain,
( p2(sK159(sK172(sK178)))
| p2(sK172(sK178))
| ~ spl187_150
| ~ spl187_1942
| ~ spl187_1945 ),
inference(subsumption_resolution,[],[f16948,f16157]) ).
fof(f16948,plain,
( p2(sK159(sK172(sK178)))
| ~ r1(sK178,sK172(sK178))
| p2(sK172(sK178))
| ~ spl187_150
| ~ spl187_1945 ),
inference(resolution,[],[f16173,f16526]) ).
fof(f16526,plain,
( ! [X0] :
( r1(sK158(X0),sK159(X0))
| ~ r1(sK178,X0)
| p2(X0) )
| ~ spl187_150 ),
inference(resolution,[],[f1740,f767]) ).
fof(f767,plain,
! [X0,X1] :
( ~ sP6(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(sK158(X1),sK159(X1)) ),
inference(cnf_transformation,[],[f364]) ).
fof(f16173,plain,
( ! [X0] :
( ~ r1(sK158(sK172(sK178)),X0)
| p2(X0) )
| ~ spl187_1945 ),
inference(avatar_component_clause,[],[f16172]) ).
fof(f16172,plain,
( spl187_1945
<=> ! [X0] :
( p2(X0)
| ~ r1(sK158(sK172(sK178)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_1945])]) ).
fof(f20676,plain,
( ~ spl187_150
| ~ spl187_1550
| ~ spl187_1933 ),
inference(avatar_contradiction_clause,[],[f20675]) ).
fof(f20675,plain,
( $false
| ~ spl187_150
| ~ spl187_1550
| ~ spl187_1933 ),
inference(subsumption_resolution,[],[f20674,f12389]) ).
fof(f20674,plain,
( ~ r1(sK178,sK160(sK178))
| ~ spl187_150
| ~ spl187_1933 ),
inference(resolution,[],[f16096,f1740]) ).
fof(f16096,plain,
( ! [X0] :
( ~ sP6(X0)
| ~ r1(X0,sK160(sK178)) )
| ~ spl187_1933 ),
inference(avatar_component_clause,[],[f16095]) ).
fof(f16095,plain,
( spl187_1933
<=> ! [X0] :
( ~ r1(X0,sK160(sK178))
| ~ sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_1933])]) ).
fof(f16505,plain,
( ~ spl187_38
| ~ spl187_40
| spl187_149
| ~ spl187_1898 ),
inference(avatar_contradiction_clause,[],[f16504]) ).
fof(f16504,plain,
( $false
| ~ spl187_38
| ~ spl187_40
| spl187_149
| ~ spl187_1898 ),
inference(subsumption_resolution,[],[f16503,f1018]) ).
fof(f16503,plain,
( ~ r1(sK171,sK178)
| ~ spl187_40
| spl187_149
| ~ spl187_1898 ),
inference(resolution,[],[f16215,f1928]) ).
fof(f1928,plain,
( sP1(sK171)
| ~ spl187_40 ),
inference(resolution,[],[f1026,f784]) ).
fof(f784,plain,
! [X0] :
( ~ sP2(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f383]) ).
fof(f383,plain,
! [X0] :
( ( sP1(X0)
& ~ p2(sK166(X0))
& r1(X0,sK166(X0)) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK166])],[f381,f382]) ).
fof(f382,plain,
! [X0] :
( ? [X1] :
( ~ p2(X1)
& r1(X0,X1) )
=> ( ~ p2(sK166(X0))
& r1(X0,sK166(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f381,plain,
! [X0] :
( ( sP1(X0)
& ? [X1] :
( ~ p2(X1)
& r1(X0,X1) ) )
| ~ sP2(X0) ),
inference(rectify,[],[f380]) ).
fof(f380,plain,
! [X0] :
( ( sP1(X0)
& ? [X221] :
( ~ p2(X221)
& r1(X0,X221) ) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f11]) ).
fof(f1026,plain,
( sP2(sK171)
| ~ spl187_40 ),
inference(avatar_component_clause,[],[f1024]) ).
fof(f1024,plain,
( spl187_40
<=> sP2(sK171) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_40])]) ).
fof(f16215,plain,
( ! [X0] :
( ~ sP1(X0)
| ~ r1(X0,sK178) )
| spl187_149
| ~ spl187_1898 ),
inference(subsumption_resolution,[],[f16211,f1736]) ).
fof(f16211,plain,
( ! [X0] :
( p2(sK178)
| ~ r1(X0,sK178)
| ~ sP1(X0) )
| ~ spl187_1898 ),
inference(resolution,[],[f15866,f787]) ).
fof(f787,plain,
! [X0,X1] :
( ~ p2(sK168(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f388]) ).
fof(f388,plain,
! [X0] :
( ! [X1] :
( ( p2(sK167(X1))
& ~ p2(sK168(X1))
& r1(sK167(X1),sK168(X1))
& r1(X1,sK167(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK167,sK168])],[f385,f387,f386]) ).
fof(f386,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK167(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK167(X1),X3) )
& r1(X1,sK167(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f387,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK167(X1),X3) )
=> ( ~ p2(sK168(X1))
& r1(sK167(X1),sK168(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f385,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP1(X0) ),
inference(rectify,[],[f384]) ).
fof(f384,plain,
! [X0] :
( ! [X218] :
( ? [X219] :
( p2(X219)
& ? [X220] :
( ~ p2(X220)
& r1(X219,X220) )
& r1(X218,X219) )
| p2(X218)
| ~ r1(X0,X218) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f10]) ).
fof(f15866,plain,
( p2(sK168(sK178))
| ~ spl187_1898 ),
inference(avatar_component_clause,[],[f15864]) ).
fof(f15864,plain,
( spl187_1898
<=> p2(sK168(sK178)) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_1898])]) ).
fof(f16456,plain,
( ~ spl187_38
| spl187_149
| spl187_1942 ),
inference(avatar_contradiction_clause,[],[f16455]) ).
fof(f16455,plain,
( $false
| ~ spl187_38
| spl187_149
| spl187_1942 ),
inference(subsumption_resolution,[],[f16454,f1018]) ).
fof(f16454,plain,
( ~ r1(sK171,sK178)
| spl187_149
| spl187_1942 ),
inference(subsumption_resolution,[],[f16453,f1736]) ).
fof(f16453,plain,
( p2(sK178)
| ~ r1(sK171,sK178)
| spl187_1942 ),
inference(resolution,[],[f16158,f839]) ).
fof(f16158,plain,
( ~ r1(sK178,sK172(sK178))
| spl187_1942 ),
inference(avatar_component_clause,[],[f16156]) ).
fof(f16351,plain,
( ~ spl187_1942
| ~ spl187_38
| spl187_149
| ~ spl187_150
| spl187_1889
| ~ spl187_1944 ),
inference(avatar_split_clause,[],[f16350,f16169,f15804,f1738,f1734,f1016,f16156]) ).
fof(f16169,plain,
( spl187_1944
<=> ! [X1] :
( ~ r1(sK172(X1),sK158(sK172(sK178)))
| ~ r1(sK171,X1)
| p2(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_1944])]) ).
fof(f16350,plain,
( ~ r1(sK178,sK172(sK178))
| ~ spl187_38
| spl187_149
| ~ spl187_150
| spl187_1889
| ~ spl187_1944 ),
inference(subsumption_resolution,[],[f16349,f15805]) ).
fof(f16349,plain,
( ~ r1(sK178,sK172(sK178))
| p2(sK172(sK178))
| ~ spl187_38
| spl187_149
| ~ spl187_150
| ~ spl187_1944 ),
inference(subsumption_resolution,[],[f16348,f1736]) ).
fof(f16348,plain,
( p2(sK178)
| ~ r1(sK178,sK172(sK178))
| p2(sK172(sK178))
| ~ spl187_38
| ~ spl187_150
| ~ spl187_1944 ),
inference(subsumption_resolution,[],[f16347,f1018]) ).
fof(f16347,plain,
( ~ r1(sK171,sK178)
| p2(sK178)
| ~ r1(sK178,sK172(sK178))
| p2(sK172(sK178))
| ~ spl187_150
| ~ spl187_1944 ),
inference(resolution,[],[f16170,f13921]) ).
fof(f13921,plain,
( ! [X0] :
( r1(X0,sK158(X0))
| ~ r1(sK178,X0)
| p2(X0) )
| ~ spl187_150 ),
inference(resolution,[],[f1740,f766]) ).
fof(f16170,plain,
( ! [X1] :
( ~ r1(sK172(X1),sK158(sK172(sK178)))
| ~ r1(sK171,X1)
| p2(X1) )
| ~ spl187_1944 ),
inference(avatar_component_clause,[],[f16169]) ).
fof(f16174,plain,
( spl187_1944
| spl187_1945
| ~ spl187_1895 ),
inference(avatar_split_clause,[],[f16165,f15838,f16172,f16169]) ).
fof(f15838,plain,
( spl187_1895
<=> p2(sK158(sK172(sK178))) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_1895])]) ).
fof(f16165,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK158(sK172(sK178)),X0)
| ~ r1(sK172(X1),sK158(sK172(sK178)))
| p2(X1)
| ~ r1(sK171,X1) )
| ~ spl187_1895 ),
inference(resolution,[],[f15840,f841]) ).
fof(f15840,plain,
( p2(sK158(sK172(sK178)))
| ~ spl187_1895 ),
inference(avatar_component_clause,[],[f15838]) ).
fof(f16147,plain,
( ~ spl187_38
| spl187_149
| ~ spl187_1889 ),
inference(avatar_contradiction_clause,[],[f16146]) ).
fof(f16146,plain,
( $false
| ~ spl187_38
| spl187_149
| ~ spl187_1889 ),
inference(subsumption_resolution,[],[f16145,f1018]) ).
fof(f16145,plain,
( ~ r1(sK171,sK178)
| spl187_149
| ~ spl187_1889 ),
inference(subsumption_resolution,[],[f16141,f1736]) ).
fof(f16141,plain,
( p2(sK178)
| ~ r1(sK171,sK178)
| ~ spl187_1889 ),
inference(resolution,[],[f15806,f840]) ).
fof(f15806,plain,
( p2(sK172(sK178))
| ~ spl187_1889 ),
inference(avatar_component_clause,[],[f15804]) ).
fof(f16097,plain,
( spl187_1933
| spl187_687
| ~ spl187_1782 ),
inference(avatar_split_clause,[],[f15651,f14920,f5897,f16095]) ).
fof(f14920,plain,
( spl187_1782
<=> p2(sK159(sK160(sK178))) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_1782])]) ).
fof(f15651,plain,
( ! [X0] :
( p2(sK160(sK178))
| ~ r1(X0,sK160(sK178))
| ~ sP6(X0) )
| ~ spl187_1782 ),
inference(resolution,[],[f14922,f768]) ).
fof(f14922,plain,
( p2(sK159(sK160(sK178)))
| ~ spl187_1782 ),
inference(avatar_component_clause,[],[f14920]) ).
fof(f15867,plain,
( spl187_149
| spl187_1898
| ~ spl187_38
| ~ spl187_40
| ~ spl187_327 ),
inference(avatar_split_clause,[],[f15862,f3062,f1024,f1016,f15864,f1734]) ).
fof(f3062,plain,
( spl187_327
<=> ! [X0] :
( p2(X0)
| ~ r1(sK167(sK178),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_327])]) ).
fof(f15862,plain,
( p2(sK168(sK178))
| p2(sK178)
| ~ spl187_38
| ~ spl187_40
| ~ spl187_327 ),
inference(subsumption_resolution,[],[f4404,f1018]) ).
fof(f4404,plain,
( p2(sK168(sK178))
| ~ r1(sK171,sK178)
| p2(sK178)
| ~ spl187_40
| ~ spl187_327 ),
inference(resolution,[],[f3063,f1929]) ).
fof(f1929,plain,
( ! [X0] :
( r1(sK167(X0),sK168(X0))
| ~ r1(sK171,X0)
| p2(X0) )
| ~ spl187_40 ),
inference(resolution,[],[f1928,f786]) ).
fof(f786,plain,
! [X0,X1] :
( ~ sP1(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(sK167(X1),sK168(X1)) ),
inference(cnf_transformation,[],[f388]) ).
fof(f3063,plain,
( ! [X0] :
( ~ r1(sK167(sK178),X0)
| p2(X0) )
| ~ spl187_327 ),
inference(avatar_component_clause,[],[f3062]) ).
fof(f15841,plain,
( spl187_149
| spl187_1895
| spl187_1889
| ~ spl187_38
| ~ spl187_150 ),
inference(avatar_split_clause,[],[f15836,f1738,f1016,f15804,f15838,f1734]) ).
fof(f15836,plain,
( p2(sK172(sK178))
| p2(sK158(sK172(sK178)))
| p2(sK178)
| ~ spl187_38
| ~ spl187_150 ),
inference(subsumption_resolution,[],[f14164,f1018]) ).
fof(f14164,plain,
( p2(sK172(sK178))
| p2(sK158(sK172(sK178)))
| p2(sK178)
| ~ r1(sK171,sK178)
| ~ spl187_150 ),
inference(resolution,[],[f13922,f839]) ).
fof(f13922,plain,
( ! [X0] :
( ~ r1(sK178,X0)
| p2(X0)
| p2(sK158(X0)) )
| ~ spl187_150 ),
inference(resolution,[],[f1740,f769]) ).
fof(f769,plain,
! [X0,X1] :
( ~ sP6(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK158(X1)) ),
inference(cnf_transformation,[],[f364]) ).
fof(f15031,plain,
( spl187_1784
| ~ spl187_151
| ~ spl187_433
| spl187_633
| ~ spl187_634 ),
inference(avatar_split_clause,[],[f15030,f5515,f5435,f3856,f1743,f14937]) ).
fof(f5515,plain,
( spl187_634
<=> p2(sK150(sK161(sK178))) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_634])]) ).
fof(f15030,plain,
( ! [X0] :
( ~ r1(sK150(sK161(sK178)),X0)
| p2(X0) )
| ~ spl187_151
| ~ spl187_433
| spl187_633
| ~ spl187_634 ),
inference(subsumption_resolution,[],[f15029,f5517]) ).
fof(f5517,plain,
( p2(sK150(sK161(sK178)))
| ~ spl187_634 ),
inference(avatar_component_clause,[],[f5515]) ).
fof(f15029,plain,
( ! [X0] :
( ~ r1(sK150(sK161(sK178)),X0)
| p2(X0)
| ~ p2(sK150(sK161(sK178))) )
| ~ spl187_151
| ~ spl187_433
| spl187_633 ),
inference(resolution,[],[f15028,f13923]) ).
fof(f13923,plain,
( ! [X0,X1] :
( ~ r1(sK161(sK178),X1)
| ~ r1(X1,X0)
| p2(X0)
| ~ p2(X1) )
| ~ spl187_151 ),
inference(resolution,[],[f1745,f773]) ).
fof(f773,plain,
! [X3,X0,X4] :
( ~ sP5(X0)
| p2(X4)
| ~ r1(X3,X4)
| ~ r1(sK161(X0),X3)
| ~ p2(X3) ),
inference(cnf_transformation,[],[f369]) ).
fof(f15028,plain,
( r1(sK161(sK178),sK150(sK161(sK178)))
| ~ spl187_151
| ~ spl187_433
| spl187_633 ),
inference(subsumption_resolution,[],[f15027,f1745]) ).
fof(f15027,plain,
( r1(sK161(sK178),sK150(sK161(sK178)))
| ~ sP5(sK178)
| ~ spl187_433
| spl187_633 ),
inference(subsumption_resolution,[],[f14993,f5436]) ).
fof(f14993,plain,
( p2(sK161(sK178))
| r1(sK161(sK178),sK150(sK161(sK178)))
| ~ sP5(sK178)
| ~ spl187_433 ),
inference(resolution,[],[f14927,f771]) ).
fof(f14927,plain,
( ! [X0] :
( ~ r1(sK160(sK178),X0)
| p2(X0)
| r1(X0,sK150(X0)) )
| ~ spl187_433 ),
inference(resolution,[],[f3858,f750]) ).
fof(f750,plain,
! [X0,X1] :
( ~ sP10(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK150(X1)) ),
inference(cnf_transformation,[],[f344]) ).
fof(f14923,plain,
( spl187_687
| spl187_1782
| ~ spl187_150
| ~ spl187_1550
| ~ spl187_1753 ),
inference(avatar_split_clause,[],[f14730,f14689,f12388,f1738,f14920,f5897]) ).
fof(f14730,plain,
( p2(sK159(sK160(sK178)))
| p2(sK160(sK178))
| ~ spl187_150
| ~ spl187_1550
| ~ spl187_1753 ),
inference(subsumption_resolution,[],[f14697,f12389]) ).
fof(f14697,plain,
( p2(sK159(sK160(sK178)))
| ~ r1(sK178,sK160(sK178))
| p2(sK160(sK178))
| ~ spl187_150
| ~ spl187_1753 ),
inference(resolution,[],[f14690,f13920]) ).
fof(f13920,plain,
( ! [X0] :
( r1(sK158(X0),sK159(X0))
| ~ r1(sK178,X0)
| p2(X0) )
| ~ spl187_150 ),
inference(resolution,[],[f1740,f767]) ).
fof(f14690,plain,
( ! [X0] :
( ~ r1(sK158(sK160(sK178)),X0)
| p2(X0) )
| ~ spl187_1753 ),
inference(avatar_component_clause,[],[f14689]) ).
fof(f14918,plain,
( ~ spl187_687
| spl187_433
| ~ spl187_36
| spl187_432
| ~ spl187_1550 ),
inference(avatar_split_clause,[],[f14917,f12388,f3850,f1006,f3856,f5897]) ).
fof(f14917,plain,
( sP10(sK160(sK178))
| ~ p2(sK160(sK178))
| ~ spl187_36
| spl187_432
| ~ spl187_1550 ),
inference(subsumption_resolution,[],[f14329,f3851]) ).
fof(f3851,plain,
( ~ sP11(sK160(sK178))
| spl187_432 ),
inference(avatar_component_clause,[],[f3850]) ).
fof(f14329,plain,
( sP11(sK160(sK178))
| sP10(sK160(sK178))
| ~ p2(sK160(sK178))
| ~ spl187_36
| ~ spl187_1550 ),
inference(resolution,[],[f12389,f13908]) ).
fof(f13908,plain,
( ! [X0] :
( ~ r1(sK178,X0)
| sP11(X0)
| sP10(X0)
| ~ p2(X0) )
| ~ spl187_36 ),
inference(resolution,[],[f1008,f739]) ).
fof(f739,plain,
! [X0,X1] :
( ~ sP13(X0)
| sP10(X1)
| sP11(X1)
| ~ r1(X0,X1)
| ~ p2(X1) ),
inference(cnf_transformation,[],[f333]) ).
fof(f14682,plain,
( spl187_845
| spl187_687
| ~ spl187_150
| ~ spl187_1550 ),
inference(avatar_split_clause,[],[f14325,f12388,f1738,f5897,f6678]) ).
fof(f14325,plain,
( p2(sK160(sK178))
| p2(sK158(sK160(sK178)))
| ~ spl187_150
| ~ spl187_1550 ),
inference(resolution,[],[f12389,f13922]) ).
fof(f14452,plain,
( spl187_1496
| ~ spl187_151
| ~ spl187_432 ),
inference(avatar_split_clause,[],[f14451,f3850,f1743,f11763]) ).
fof(f14451,plain,
( sP8(sK161(sK178))
| ~ spl187_151
| ~ spl187_432 ),
inference(subsumption_resolution,[],[f14415,f1745]) ).
fof(f14415,plain,
( sP8(sK161(sK178))
| ~ sP5(sK178)
| ~ spl187_432 ),
inference(resolution,[],[f14051,f771]) ).
fof(f14051,plain,
( ! [X0] :
( ~ r1(sK160(sK178),X0)
| sP8(X0) )
| ~ spl187_432 ),
inference(resolution,[],[f3852,f749]) ).
fof(f749,plain,
! [X0,X1] :
( ~ sP11(X0)
| ~ r1(X0,X1)
| sP8(X1) ),
inference(cnf_transformation,[],[f339]) ).
fof(f339,plain,
! [X0] :
( ! [X1] :
( ( sP8(X1)
& ( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK149(X1),X3) )
& ~ p2(sK149(X1))
& r1(X1,sK149(X1)) )
| sP7(X1) ) )
| ~ r1(X0,X1) )
| ~ sP11(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK149])],[f337,f338]) ).
fof(f338,plain,
! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
=> ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK149(X1),X3) )
& ~ p2(sK149(X1))
& r1(X1,sK149(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f337,plain,
! [X0] :
( ! [X1] :
( ( sP8(X1)
& ( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| sP7(X1) ) )
| ~ r1(X0,X1) )
| ~ sP11(X0) ),
inference(rectify,[],[f336]) ).
fof(f336,plain,
! [X176] :
( ! [X186] :
( ( sP8(X186)
& ( ? [X189] :
( ! [X190] :
( ~ p2(X190)
| ! [X191] :
( p2(X191)
| ~ r1(X190,X191) )
| ~ r1(X189,X190) )
& ~ p2(X189)
& r1(X186,X189) )
| sP7(X186) ) )
| ~ r1(X176,X186) )
| ~ sP11(X176) ),
inference(nnf_transformation,[],[f20]) ).
fof(f3852,plain,
( sP11(sK160(sK178))
| ~ spl187_432 ),
inference(avatar_component_clause,[],[f3850]) ).
fof(f13927,plain,
( spl187_1550
| ~ spl187_151 ),
inference(avatar_split_clause,[],[f13924,f1743,f12388]) ).
fof(f13924,plain,
( r1(sK178,sK160(sK178))
| ~ spl187_151 ),
inference(resolution,[],[f1745,f770]) ).
fof(f770,plain,
! [X0] :
( ~ sP5(X0)
| r1(X0,sK160(X0)) ),
inference(cnf_transformation,[],[f369]) ).
fof(f13905,plain,
( ~ spl187_35
| spl187_148
| ~ spl187_738 ),
inference(avatar_split_clause,[],[f13887,f6141,f1727,f1002]) ).
fof(f13887,plain,
( sP3(sK171)
| ~ sP14(sK171)
| ~ spl187_738 ),
inference(resolution,[],[f6143,f735]) ).
fof(f735,plain,
! [X0] :
( ~ p2(sK148(X0))
| sP3(X0)
| ~ sP14(X0) ),
inference(cnf_transformation,[],[f331]) ).
fof(f6143,plain,
( p2(sK148(sK171))
| ~ spl187_738 ),
inference(avatar_component_clause,[],[f6141]) ).
fof(f13904,plain,
( ~ spl187_148
| ~ spl187_185
| spl187_394
| ~ spl187_1452
| ~ spl187_1453 ),
inference(avatar_contradiction_clause,[],[f13903]) ).
fof(f13903,plain,
( $false
| ~ spl187_148
| ~ spl187_185
| spl187_394
| ~ spl187_1452
| ~ spl187_1453 ),
inference(subsumption_resolution,[],[f13898,f2077]) ).
fof(f2077,plain,
( r1(sK171,sK166(sK171))
| ~ spl187_185 ),
inference(avatar_component_clause,[],[f2076]) ).
fof(f2076,plain,
( spl187_185
<=> r1(sK171,sK166(sK171)) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_185])]) ).
fof(f13898,plain,
( ~ r1(sK171,sK166(sK171))
| ~ spl187_148
| spl187_394
| ~ spl187_1452
| ~ spl187_1453 ),
inference(resolution,[],[f13068,f11479]) ).
fof(f11479,plain,
( r1(sK166(sK171),sK172(sK166(sK171)))
| ~ spl187_1453 ),
inference(avatar_component_clause,[],[f11478]) ).
fof(f11478,plain,
( spl187_1453
<=> r1(sK166(sK171),sK172(sK166(sK171))) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_1453])]) ).
fof(f13068,plain,
( ! [X0] :
( ~ r1(X0,sK172(sK166(sK171)))
| ~ r1(sK171,X0) )
| ~ spl187_148
| spl187_394
| ~ spl187_1452 ),
inference(resolution,[],[f11734,f1729]) ).
fof(f11734,plain,
( ! [X0,X1] :
( ~ sP3(X1)
| ~ r1(X1,X0)
| ~ r1(X0,sK172(sK166(sK171))) )
| spl187_394
| ~ spl187_1452 ),
inference(subsumption_resolution,[],[f11729,f3564]) ).
fof(f3564,plain,
( ~ p2(sK172(sK166(sK171)))
| spl187_394 ),
inference(avatar_component_clause,[],[f3563]) ).
fof(f3563,plain,
( spl187_394
<=> p2(sK172(sK166(sK171))) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_394])]) ).
fof(f11729,plain,
( ! [X0,X1] :
( p2(sK172(sK166(sK171)))
| ~ r1(X0,sK172(sK166(sK171)))
| ~ r1(X1,X0)
| ~ sP3(X1) )
| ~ spl187_1452 ),
inference(resolution,[],[f11474,f780]) ).
fof(f11474,plain,
( p2(sK165(sK172(sK166(sK171))))
| ~ spl187_1452 ),
inference(avatar_component_clause,[],[f11472]) ).
fof(f11472,plain,
( spl187_1452
<=> p2(sK165(sK172(sK166(sK171)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_1452])]) ).
fof(f11769,plain,
( ~ spl187_1496
| spl187_633
| spl187_1497
| ~ spl187_151
| ~ spl187_632 ),
inference(avatar_split_clause,[],[f11761,f5431,f1743,f11767,f5435,f11763]) ).
fof(f5431,plain,
( spl187_632
<=> r1(sK161(sK178),sK154(sK161(sK178))) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_632])]) ).
fof(f11761,plain,
( ! [X0] :
( ~ r1(sK154(sK161(sK178)),X0)
| p2(X0)
| p2(sK161(sK178))
| ~ sP8(sK161(sK178)) )
| ~ spl187_151
| ~ spl187_632 ),
inference(resolution,[],[f5433,f4055]) ).
fof(f4055,plain,
( ! [X0,X1] :
( ~ r1(sK161(sK178),sK154(X0))
| ~ r1(sK154(X0),X1)
| p2(X1)
| p2(X0)
| ~ sP8(X0) )
| ~ spl187_151 ),
inference(resolution,[],[f3103,f761]) ).
fof(f761,plain,
! [X0] :
( p2(sK154(X0))
| p2(X0)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f354]) ).
fof(f3103,plain,
( ! [X0,X1] :
( ~ p2(X1)
| ~ r1(X1,X0)
| ~ r1(sK161(sK178),X1)
| p2(X0) )
| ~ spl187_151 ),
inference(resolution,[],[f1745,f773]) ).
fof(f5433,plain,
( r1(sK161(sK178),sK154(sK161(sK178)))
| ~ spl187_632 ),
inference(avatar_component_clause,[],[f5431]) ).
fof(f11728,plain,
( spl187_170
| ~ spl187_185
| spl187_1453 ),
inference(avatar_contradiction_clause,[],[f11727]) ).
fof(f11727,plain,
( $false
| spl187_170
| ~ spl187_185
| spl187_1453 ),
inference(subsumption_resolution,[],[f11726,f2077]) ).
fof(f11726,plain,
( ~ r1(sK171,sK166(sK171))
| spl187_170
| spl187_1453 ),
inference(subsumption_resolution,[],[f11725,f1892]) ).
fof(f1892,plain,
( ~ p2(sK166(sK171))
| spl187_170 ),
inference(avatar_component_clause,[],[f1891]) ).
fof(f1891,plain,
( spl187_170
<=> p2(sK166(sK171)) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_170])]) ).
fof(f11725,plain,
( p2(sK166(sK171))
| ~ r1(sK171,sK166(sK171))
| spl187_1453 ),
inference(resolution,[],[f11480,f839]) ).
fof(f11480,plain,
( ~ r1(sK166(sK171),sK172(sK166(sK171)))
| spl187_1453 ),
inference(avatar_component_clause,[],[f11478]) ).
fof(f11481,plain,
( ~ spl187_1453
| spl187_1452
| ~ spl187_148
| ~ spl187_185
| spl187_394
| ~ spl187_1334 ),
inference(avatar_split_clause,[],[f11476,f10325,f3563,f2076,f1727,f11472,f11478]) ).
fof(f10325,plain,
( spl187_1334
<=> ! [X0] :
( p2(X0)
| ~ r1(sK164(sK172(sK166(sK171))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_1334])]) ).
fof(f11476,plain,
( p2(sK165(sK172(sK166(sK171))))
| ~ r1(sK166(sK171),sK172(sK166(sK171)))
| ~ spl187_148
| ~ spl187_185
| spl187_394
| ~ spl187_1334 ),
inference(subsumption_resolution,[],[f11426,f3564]) ).
fof(f11426,plain,
( p2(sK165(sK172(sK166(sK171))))
| p2(sK172(sK166(sK171)))
| ~ r1(sK166(sK171),sK172(sK166(sK171)))
| ~ spl187_148
| ~ spl187_185
| ~ spl187_1334 ),
inference(resolution,[],[f10326,f8052]) ).
fof(f8052,plain,
( ! [X0] :
( r1(sK164(X0),sK165(X0))
| p2(X0)
| ~ r1(sK166(sK171),X0) )
| ~ spl187_148
| ~ spl187_185 ),
inference(resolution,[],[f7966,f2077]) ).
fof(f7966,plain,
( ! [X0,X1] :
( ~ r1(sK171,X1)
| ~ r1(X1,X0)
| p2(X0)
| r1(sK164(X0),sK165(X0)) )
| ~ spl187_148 ),
inference(resolution,[],[f1729,f779]) ).
fof(f10326,plain,
( ! [X0] :
( ~ r1(sK164(sK172(sK166(sK171))),X0)
| p2(X0) )
| ~ spl187_1334 ),
inference(avatar_component_clause,[],[f10325]) ).
fof(f11412,plain,
( ~ spl187_148
| spl187_170
| ~ spl187_185
| spl187_394
| ~ spl187_1333 ),
inference(avatar_contradiction_clause,[],[f11411]) ).
fof(f11411,plain,
( $false
| ~ spl187_148
| spl187_170
| ~ spl187_185
| spl187_394
| ~ spl187_1333 ),
inference(subsumption_resolution,[],[f11410,f1892]) ).
fof(f11410,plain,
( p2(sK166(sK171))
| ~ spl187_148
| spl187_170
| ~ spl187_185
| spl187_394
| ~ spl187_1333 ),
inference(subsumption_resolution,[],[f11405,f2077]) ).
fof(f11405,plain,
( ~ r1(sK171,sK166(sK171))
| p2(sK166(sK171))
| ~ spl187_148
| spl187_170
| ~ spl187_185
| spl187_394
| ~ spl187_1333 ),
inference(resolution,[],[f10323,f9558]) ).
fof(f9558,plain,
( r1(sK172(sK166(sK171)),sK164(sK172(sK166(sK171))))
| ~ spl187_148
| spl187_170
| ~ spl187_185
| spl187_394 ),
inference(subsumption_resolution,[],[f9557,f2077]) ).
fof(f9557,plain,
( r1(sK172(sK166(sK171)),sK164(sK172(sK166(sK171))))
| ~ r1(sK171,sK166(sK171))
| ~ spl187_148
| spl187_170
| ~ spl187_185
| spl187_394 ),
inference(subsumption_resolution,[],[f9556,f1892]) ).
fof(f9556,plain,
( r1(sK172(sK166(sK171)),sK164(sK172(sK166(sK171))))
| p2(sK166(sK171))
| ~ r1(sK171,sK166(sK171))
| ~ spl187_148
| ~ spl187_185
| spl187_394 ),
inference(subsumption_resolution,[],[f9551,f3564]) ).
fof(f9551,plain,
( p2(sK172(sK166(sK171)))
| r1(sK172(sK166(sK171)),sK164(sK172(sK166(sK171))))
| p2(sK166(sK171))
| ~ r1(sK171,sK166(sK171))
| ~ spl187_148
| ~ spl187_185 ),
inference(resolution,[],[f8008,f839]) ).
fof(f8008,plain,
( ! [X0] :
( ~ r1(sK166(sK171),X0)
| p2(X0)
| r1(X0,sK164(X0)) )
| ~ spl187_148
| ~ spl187_185 ),
inference(resolution,[],[f7967,f2077]) ).
fof(f7967,plain,
( ! [X0,X1] :
( ~ r1(sK171,X1)
| ~ r1(X1,X0)
| p2(X0)
| r1(X0,sK164(X0)) )
| ~ spl187_148 ),
inference(resolution,[],[f1729,f778]) ).
fof(f10323,plain,
( ! [X1] :
( ~ r1(sK172(X1),sK164(sK172(sK166(sK171))))
| ~ r1(sK171,X1)
| p2(X1) )
| ~ spl187_1333 ),
inference(avatar_component_clause,[],[f10322]) ).
fof(f10322,plain,
( spl187_1333
<=> ! [X1] :
( ~ r1(sK172(X1),sK164(sK172(sK166(sK171))))
| ~ r1(sK171,X1)
| p2(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_1333])]) ).
fof(f10327,plain,
( spl187_1333
| spl187_1334
| ~ spl187_1109 ),
inference(avatar_split_clause,[],[f10317,f8866,f10325,f10322]) ).
fof(f8866,plain,
( spl187_1109
<=> p2(sK164(sK172(sK166(sK171)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_1109])]) ).
fof(f10317,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK164(sK172(sK166(sK171))),X0)
| ~ r1(sK172(X1),sK164(sK172(sK166(sK171))))
| p2(X1)
| ~ r1(sK171,X1) )
| ~ spl187_1109 ),
inference(resolution,[],[f8868,f841]) ).
fof(f8868,plain,
( p2(sK164(sK172(sK166(sK171))))
| ~ spl187_1109 ),
inference(avatar_component_clause,[],[f8866]) ).
fof(f8897,plain,
( spl187_170
| ~ spl187_185
| ~ spl187_394 ),
inference(avatar_contradiction_clause,[],[f8896]) ).
fof(f8896,plain,
( $false
| spl187_170
| ~ spl187_185
| ~ spl187_394 ),
inference(subsumption_resolution,[],[f8895,f2077]) ).
fof(f8895,plain,
( ~ r1(sK171,sK166(sK171))
| spl187_170
| ~ spl187_394 ),
inference(subsumption_resolution,[],[f8890,f1892]) ).
fof(f8890,plain,
( p2(sK166(sK171))
| ~ r1(sK171,sK166(sK171))
| ~ spl187_394 ),
inference(resolution,[],[f3565,f840]) ).
fof(f3565,plain,
( p2(sK172(sK166(sK171)))
| ~ spl187_394 ),
inference(avatar_component_clause,[],[f3563]) ).
fof(f8869,plain,
( spl187_1109
| spl187_394
| ~ spl187_148
| spl187_170
| ~ spl187_185 ),
inference(avatar_split_clause,[],[f8864,f2076,f1891,f1727,f3563,f8866]) ).
fof(f8864,plain,
( p2(sK172(sK166(sK171)))
| p2(sK164(sK172(sK166(sK171))))
| ~ spl187_148
| spl187_170
| ~ spl187_185 ),
inference(subsumption_resolution,[],[f8863,f2077]) ).
fof(f8863,plain,
( p2(sK172(sK166(sK171)))
| p2(sK164(sK172(sK166(sK171))))
| ~ r1(sK171,sK166(sK171))
| ~ spl187_148
| spl187_170
| ~ spl187_185 ),
inference(subsumption_resolution,[],[f8858,f1892]) ).
fof(f8858,plain,
( p2(sK172(sK166(sK171)))
| p2(sK164(sK172(sK166(sK171))))
| p2(sK166(sK171))
| ~ r1(sK171,sK166(sK171))
| ~ spl187_148
| ~ spl187_185 ),
inference(resolution,[],[f7970,f839]) ).
fof(f7970,plain,
( ! [X0] :
( ~ r1(sK166(sK171),X0)
| p2(X0)
| p2(sK164(X0)) )
| ~ spl187_148
| ~ spl187_185 ),
inference(resolution,[],[f7968,f2077]) ).
fof(f7968,plain,
( ! [X0,X1] :
( ~ r1(sK171,X1)
| ~ r1(X1,X0)
| p2(X0)
| p2(sK164(X0)) )
| ~ spl187_148 ),
inference(resolution,[],[f1729,f781]) ).
fof(f7955,plain,
( ~ spl187_40
| ~ spl187_147
| spl187_738
| ~ spl187_872 ),
inference(avatar_contradiction_clause,[],[f7954]) ).
fof(f7954,plain,
( $false
| ~ spl187_40
| ~ spl187_147
| spl187_738
| ~ spl187_872 ),
inference(subsumption_resolution,[],[f7953,f1725]) ).
fof(f7953,plain,
( ~ r1(sK171,sK148(sK171))
| ~ spl187_40
| ~ spl187_147
| spl187_738
| ~ spl187_872 ),
inference(resolution,[],[f7340,f1928]) ).
fof(f7340,plain,
( ! [X0] :
( ~ sP1(X0)
| ~ r1(X0,sK148(sK171)) )
| ~ spl187_40
| ~ spl187_147
| spl187_738
| ~ spl187_872 ),
inference(subsumption_resolution,[],[f7336,f6142]) ).
fof(f7336,plain,
( ! [X0] :
( p2(sK148(sK171))
| ~ r1(X0,sK148(sK171))
| ~ sP1(X0) )
| ~ spl187_40
| ~ spl187_147
| spl187_738
| ~ spl187_872 ),
inference(resolution,[],[f7284,f787]) ).
fof(f7284,plain,
( p2(sK168(sK148(sK171)))
| ~ spl187_40
| ~ spl187_147
| spl187_738
| ~ spl187_872 ),
inference(subsumption_resolution,[],[f7283,f6142]) ).
fof(f7283,plain,
( p2(sK168(sK148(sK171)))
| p2(sK148(sK171))
| ~ spl187_40
| ~ spl187_147
| ~ spl187_872 ),
inference(subsumption_resolution,[],[f7252,f1725]) ).
fof(f7252,plain,
( p2(sK168(sK148(sK171)))
| ~ r1(sK171,sK148(sK171))
| p2(sK148(sK171))
| ~ spl187_40
| ~ spl187_872 ),
inference(resolution,[],[f6841,f1929]) ).
fof(f6841,plain,
( ! [X0] :
( ~ r1(sK167(sK148(sK171)),X0)
| p2(X0) )
| ~ spl187_872 ),
inference(avatar_component_clause,[],[f6840]) ).
fof(f6840,plain,
( spl187_872
<=> ! [X0] :
( p2(X0)
| ~ r1(sK167(sK148(sK171)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_872])]) ).
fof(f7211,plain,
( ~ spl187_874
| spl187_872
| ~ spl187_741
| ~ spl187_875 ),
inference(avatar_split_clause,[],[f7172,f6861,f6153,f6840,f6849]) ).
fof(f6849,plain,
( spl187_874
<=> r1(sK148(sK171),sK167(sK148(sK171))) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_874])]) ).
fof(f6153,plain,
( spl187_741
<=> p2(sK167(sK148(sK171))) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_741])]) ).
fof(f7172,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK148(sK171),sK167(sK148(sK171)))
| ~ r1(sK167(sK148(sK171)),X0) )
| ~ spl187_741
| ~ spl187_875 ),
inference(resolution,[],[f6862,f6155]) ).
fof(f6155,plain,
( p2(sK167(sK148(sK171)))
| ~ spl187_741 ),
inference(avatar_component_clause,[],[f6153]) ).
fof(f6858,plain,
( spl187_738
| ~ spl187_147
| ~ spl187_40
| spl187_874 ),
inference(avatar_split_clause,[],[f6855,f6849,f1024,f1723,f6141]) ).
fof(f6855,plain,
( ~ r1(sK171,sK148(sK171))
| p2(sK148(sK171))
| ~ spl187_40
| spl187_874 ),
inference(resolution,[],[f6851,f1930]) ).
fof(f1930,plain,
( ! [X0] :
( r1(X0,sK167(X0))
| ~ r1(sK171,X0)
| p2(X0) )
| ~ spl187_40 ),
inference(resolution,[],[f1928,f785]) ).
fof(f785,plain,
! [X0,X1] :
( ~ sP1(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK167(X1)) ),
inference(cnf_transformation,[],[f388]) ).
fof(f6851,plain,
( ~ r1(sK148(sK171),sK167(sK148(sK171)))
| spl187_874 ),
inference(avatar_component_clause,[],[f6849]) ).
fof(f6156,plain,
( spl187_741
| spl187_738
| ~ spl187_40
| ~ spl187_147 ),
inference(avatar_split_clause,[],[f6137,f1723,f1024,f6141,f6153]) ).
fof(f6137,plain,
( p2(sK148(sK171))
| p2(sK167(sK148(sK171)))
| ~ spl187_40
| ~ spl187_147 ),
inference(resolution,[],[f1725,f1931]) ).
fof(f1931,plain,
( ! [X0] :
( ~ r1(sK171,X0)
| p2(X0)
| p2(sK167(X0)) )
| ~ spl187_40 ),
inference(resolution,[],[f1928,f788]) ).
fof(f788,plain,
! [X0,X1] :
( ~ sP1(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK167(X1)) ),
inference(cnf_transformation,[],[f388]) ).
fof(f5518,plain,
( spl187_634
| spl187_633
| ~ spl187_151
| ~ spl187_433 ),
inference(avatar_split_clause,[],[f5513,f3856,f1743,f5435,f5515]) ).
fof(f5513,plain,
( p2(sK161(sK178))
| p2(sK150(sK161(sK178)))
| ~ spl187_151
| ~ spl187_433 ),
inference(subsumption_resolution,[],[f5480,f1745]) ).
fof(f5480,plain,
( p2(sK161(sK178))
| p2(sK150(sK161(sK178)))
| ~ sP5(sK178)
| ~ spl187_433 ),
inference(resolution,[],[f5447,f771]) ).
fof(f5447,plain,
( ! [X0] :
( ~ r1(sK160(sK178),X0)
| p2(X0)
| p2(sK150(X0)) )
| ~ spl187_433 ),
inference(resolution,[],[f3858,f753]) ).
fof(f753,plain,
! [X0,X1] :
( ~ sP10(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK150(X1)) ),
inference(cnf_transformation,[],[f344]) ).
fof(f5438,plain,
( spl187_632
| spl187_633
| ~ spl187_151
| ~ spl187_432 ),
inference(avatar_split_clause,[],[f5429,f3850,f1743,f5435,f5431]) ).
fof(f5429,plain,
( p2(sK161(sK178))
| r1(sK161(sK178),sK154(sK161(sK178)))
| ~ spl187_151
| ~ spl187_432 ),
inference(resolution,[],[f5212,f758]) ).
fof(f758,plain,
! [X0] :
( ~ sP8(X0)
| p2(X0)
| r1(X0,sK154(X0)) ),
inference(cnf_transformation,[],[f354]) ).
fof(f5212,plain,
( sP8(sK161(sK178))
| ~ spl187_151
| ~ spl187_432 ),
inference(subsumption_resolution,[],[f5180,f1745]) ).
fof(f5180,plain,
( sP8(sK161(sK178))
| ~ sP5(sK178)
| ~ spl187_432 ),
inference(resolution,[],[f3952,f771]) ).
fof(f3952,plain,
( ! [X0] :
( ~ r1(sK160(sK178),X0)
| sP8(X0) )
| ~ spl187_432 ),
inference(resolution,[],[f3852,f749]) ).
fof(f3826,plain,
( ~ spl187_40
| spl187_185 ),
inference(avatar_contradiction_clause,[],[f3825]) ).
fof(f3825,plain,
( $false
| ~ spl187_40
| spl187_185 ),
inference(subsumption_resolution,[],[f3824,f1026]) ).
fof(f3824,plain,
( ~ sP2(sK171)
| spl187_185 ),
inference(resolution,[],[f2078,f782]) ).
fof(f782,plain,
! [X0] :
( r1(X0,sK166(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f383]) ).
fof(f2078,plain,
( ~ r1(sK171,sK166(sK171))
| spl187_185 ),
inference(avatar_component_clause,[],[f2076]) ).
fof(f3073,plain,
( spl187_149
| ~ spl187_38
| ~ spl187_40
| spl187_325 ),
inference(avatar_split_clause,[],[f3070,f3053,f1024,f1016,f1734]) ).
fof(f3053,plain,
( spl187_325
<=> r1(sK178,sK167(sK178)) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_325])]) ).
fof(f3070,plain,
( p2(sK178)
| ~ spl187_38
| ~ spl187_40
| spl187_325 ),
inference(subsumption_resolution,[],[f3069,f1018]) ).
fof(f3069,plain,
( ~ r1(sK171,sK178)
| p2(sK178)
| ~ spl187_40
| spl187_325 ),
inference(resolution,[],[f3055,f1930]) ).
fof(f3055,plain,
( ~ r1(sK178,sK167(sK178))
| spl187_325 ),
inference(avatar_component_clause,[],[f3053]) ).
fof(f3064,plain,
( ~ spl187_325
| spl187_327
| ~ spl187_38
| ~ spl187_40
| spl187_149
| ~ spl187_184 ),
inference(avatar_split_clause,[],[f3046,f2042,f1734,f1024,f1016,f3062,f3053]) ).
fof(f3046,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK178,sK167(sK178))
| ~ r1(sK167(sK178),X0) )
| ~ spl187_38
| ~ spl187_40
| spl187_149
| ~ spl187_184 ),
inference(resolution,[],[f3035,f2043]) ).
fof(f3035,plain,
( p2(sK167(sK178))
| ~ spl187_38
| ~ spl187_40
| spl187_149 ),
inference(subsumption_resolution,[],[f3022,f1736]) ).
fof(f3022,plain,
( p2(sK178)
| p2(sK167(sK178))
| ~ spl187_38
| ~ spl187_40 ),
inference(resolution,[],[f1018,f1931]) ).
fof(f2391,plain,
( ~ spl187_40
| ~ spl187_170 ),
inference(avatar_contradiction_clause,[],[f2390]) ).
fof(f2390,plain,
( $false
| ~ spl187_40
| ~ spl187_170 ),
inference(subsumption_resolution,[],[f2387,f1026]) ).
fof(f2387,plain,
( ~ sP2(sK171)
| ~ spl187_170 ),
inference(resolution,[],[f1893,f783]) ).
fof(f783,plain,
! [X0] :
( ~ p2(sK166(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f383]) ).
fof(f1893,plain,
( p2(sK166(sK171))
| ~ spl187_170 ),
inference(avatar_component_clause,[],[f1891]) ).
fof(f1900,plain,
( ~ spl187_39
| ~ spl187_41
| ~ spl187_42 ),
inference(avatar_contradiction_clause,[],[f1899]) ).
fof(f1899,plain,
( $false
| ~ spl187_39
| ~ spl187_41
| ~ spl187_42 ),
inference(subsumption_resolution,[],[f1895,f842]) ).
fof(f842,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f1895,plain,
( ~ r1(sK171,sK171)
| ~ spl187_39
| ~ spl187_41
| ~ spl187_42 ),
inference(resolution,[],[f1030,f1812]) ).
fof(f1812,plain,
( ~ r1(sK171,sK182(sK171))
| ~ spl187_39
| ~ spl187_42 ),
inference(resolution,[],[f1659,f1034]) ).
fof(f1034,plain,
( ! [X54] :
( ~ p5(X54)
| ~ r1(sK171,X54) )
| ~ spl187_42 ),
inference(avatar_component_clause,[],[f1033]) ).
fof(f1033,plain,
( spl187_42
<=> ! [X54] :
( ~ p5(X54)
| ~ r1(sK171,X54) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_42])]) ).
fof(f1659,plain,
( p5(sK182(sK171))
| ~ spl187_39 ),
inference(resolution,[],[f1022,f842]) ).
fof(f1022,plain,
( ! [X47] :
( ~ r1(sK171,X47)
| p5(sK182(X47)) )
| ~ spl187_39 ),
inference(avatar_component_clause,[],[f1021]) ).
fof(f1021,plain,
( spl187_39
<=> ! [X47] :
( p5(sK182(X47))
| ~ r1(sK171,X47) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_39])]) ).
fof(f1030,plain,
( ! [X47] :
( r1(X47,sK182(X47))
| ~ r1(sK171,X47) )
| ~ spl187_41 ),
inference(avatar_component_clause,[],[f1029]) ).
fof(f1029,plain,
( spl187_41
<=> ! [X47] :
( r1(X47,sK182(X47))
| ~ r1(sK171,X47) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl187_41])]) ).
fof(f1049,plain,
( spl187_42
| spl187_45 ),
inference(avatar_split_clause,[],[f793,f1046,f1033]) ).
fof(f793,plain,
! [X54] :
( r1(sK171,sK186)
| ~ p5(X54)
| ~ r1(sK171,X54) ),
inference(cnf_transformation,[],[f411]) ).
fof(f1044,plain,
( spl187_42
| ~ spl187_44 ),
inference(avatar_split_clause,[],[f794,f1041,f1033]) ).
fof(f794,plain,
! [X54] :
( ~ p2(sK186)
| ~ p5(X54)
| ~ r1(sK171,X54) ),
inference(cnf_transformation,[],[f411]) ).
fof(f1039,plain,
( spl187_42
| spl187_43 ),
inference(avatar_split_clause,[],[f795,f1036,f1033]) ).
fof(f795,plain,
! [X54] :
( sP0(sK171)
| ~ p5(X54)
| ~ r1(sK171,X54) ),
inference(cnf_transformation,[],[f411]) ).
fof(f1031,plain,
( spl187_41
| spl187_40 ),
inference(avatar_split_clause,[],[f802,f1024,f1029]) ).
fof(f802,plain,
! [X47] :
( sP2(sK171)
| r1(X47,sK182(X47))
| ~ r1(sK171,X47) ),
inference(cnf_transformation,[],[f411]) ).
fof(f1027,plain,
( spl187_39
| spl187_40 ),
inference(avatar_split_clause,[],[f803,f1024,f1021]) ).
fof(f803,plain,
! [X47] :
( sP2(sK171)
| p5(sK182(X47))
| ~ r1(sK171,X47) ),
inference(cnf_transformation,[],[f411]) ).
fof(f1019,plain,
( spl187_35
| spl187_38 ),
inference(avatar_split_clause,[],[f810,f1016,f1002]) ).
fof(f810,plain,
( r1(sK171,sK178)
| sP14(sK171) ),
inference(cnf_transformation,[],[f411]) ).
fof(f1014,plain,
( spl187_35
| spl187_37 ),
inference(avatar_split_clause,[],[f811,f1011,f1002]) ).
fof(f811,plain,
( sP12(sK178)
| sP14(sK171) ),
inference(cnf_transformation,[],[f411]) ).
fof(f1009,plain,
( spl187_35
| spl187_36 ),
inference(avatar_split_clause,[],[f812,f1006,f1002]) ).
fof(f812,plain,
( sP13(sK178)
| sP14(sK171) ),
inference(cnf_transformation,[],[f411]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : LCL660+1.015 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33 % Computer : n014.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Apr 29 22:30:49 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % (12483)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.35 % (12487)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.35 % (12488)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.35 % (12489)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.35 % (12490)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.35 % (12486)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.11/0.36 % (12485)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.37 TRYING [1]
% 0.11/0.37 TRYING [2]
% 0.11/0.37 % (12484)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.38 TRYING [3]
% 0.17/0.38 TRYING [1]
% 0.17/0.39 TRYING [2]
% 0.17/0.40 TRYING [4]
% 0.17/0.40 TRYING [3]
% 0.17/0.41 TRYING [1]
% 0.17/0.41 TRYING [2]
% 0.17/0.43 TRYING [4]
% 0.17/0.43 TRYING [3]
% 0.17/0.45 TRYING [5]
% 0.17/0.48 TRYING [4]
% 0.17/0.49 TRYING [5]
% 0.17/0.49 TRYING [1]
% 0.17/0.50 TRYING [2]
% 1.27/0.56 TRYING [6]
% 1.43/0.57 TRYING [3]
% 1.43/0.59 TRYING [5]
% 1.43/0.62 TRYING [6]
% 1.96/0.66 TRYING [4]
% 2.90/0.82 TRYING [6]
% 2.90/0.84 TRYING [5]
% 3.24/0.87 % (12489)First to succeed.
% 3.24/0.89 % (12489)Refutation found. Thanks to Tanya!
% 3.24/0.89 % SZS status Theorem for theBenchmark
% 3.24/0.89 % SZS output start Proof for theBenchmark
% See solution above
% 3.24/0.90 % (12489)------------------------------
% 3.24/0.90 % (12489)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 3.24/0.90 % (12489)Termination reason: Refutation
% 3.24/0.90
% 3.24/0.90 % (12489)Memory used [KB]: 11054
% 3.24/0.90 % (12489)Time elapsed: 0.542 s
% 3.24/0.90 % (12489)Instructions burned: 1139 (million)
% 3.24/0.90 % (12489)------------------------------
% 3.24/0.90 % (12489)------------------------------
% 3.24/0.90 % (12483)Success in time 0.559 s
%------------------------------------------------------------------------------