%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL642+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 : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 13:47:06 EDT 2024
% Result : Theorem 0.22s 0.50s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 143
% Syntax : Number of formulae : 417 ( 5 unt; 0 def)
% Number of atoms : 8053 ( 0 equ)
% Maximal formula atoms : 753 ( 19 avg)
% Number of connectives : 11248 (3612 ~;6057 |;1509 &)
% ( 41 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 45 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 119 ( 118 usr; 42 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 10 con; 0-1 aty)
% Number of variables : 2401 (1952 !; 449 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9230,plain,
$false,
inference(avatar_sat_refutation,[],[f981,f986,f991,f1612,f1617,f2057,f2121,f3873,f3877,f3883,f3987,f3998,f4021,f4171,f4304,f4634,f4681,f4689,f4799,f5116,f5203,f5231,f5333,f5368,f5369,f5391,f5517,f5707,f6778,f6835,f7372,f7384,f8114,f8189,f8220,f8377,f8628,f8768,f8891,f8935,f9034,f9129,f9215]) ).
fof(f9215,plain,
( spl180_903
| ~ spl180_36
| ~ spl180_139
| ~ spl180_167
| spl180_902 ),
inference(avatar_split_clause,[],[f9214,f7377,f1803,f1614,f978,f7381]) ).
fof(f7381,plain,
( spl180_903
<=> sP8(sK157(sK170)) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_903])]) ).
fof(f978,plain,
( spl180_36
<=> sP10(sK170) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_36])]) ).
fof(f1614,plain,
( spl180_139
<=> sP2(sK170) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_139])]) ).
fof(f1803,plain,
( spl180_167
<=> p2(sK157(sK170)) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_167])]) ).
fof(f7377,plain,
( spl180_902
<=> sP7(sK157(sK170)) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_902])]) ).
fof(f9214,plain,
( sP8(sK157(sK170))
| ~ spl180_36
| ~ spl180_139
| ~ spl180_167
| spl180_902 ),
inference(subsumption_resolution,[],[f9213,f7378]) ).
fof(f7378,plain,
( ~ sP7(sK157(sK170))
| spl180_902 ),
inference(avatar_component_clause,[],[f7377]) ).
fof(f9213,plain,
( sP8(sK157(sK170))
| sP7(sK157(sK170))
| ~ spl180_36
| ~ spl180_139
| ~ spl180_167 ),
inference(subsumption_resolution,[],[f9193,f5393]) ).
fof(f5393,plain,
( r1(sK170,sK157(sK170))
| ~ spl180_139 ),
inference(resolution,[],[f1616,f753]) ).
fof(f753,plain,
! [X0] :
( ~ sP2(X0)
| r1(X0,sK157(X0)) ),
inference(cnf_transformation,[],[f365]) ).
fof(f365,plain,
! [X0] :
( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK158(X0),X3) )
& ~ p2(sK158(X0))
& r1(sK157(X0),sK158(X0))
& r1(X0,sK157(X0)) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK157,sK158])],[f362,f364,f363]) ).
fof(f363,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(sK157(X0),X2) )
& r1(X0,sK157(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f364,plain,
! [X0] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(sK157(X0),X2) )
=> ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK158(X0),X3) )
& ~ p2(sK158(X0))
& r1(sK157(X0),sK158(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f362,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
| ~ sP2(X0) ),
inference(rectify,[],[f361]) ).
fof(f361,plain,
! [X175] :
( ? [X201] :
( ? [X202] :
( ! [X203] :
( ~ p2(X203)
| ! [X204] :
( p2(X204)
| ~ r1(X203,X204) )
| ~ r1(X202,X203) )
& ~ p2(X202)
& r1(X201,X202) )
& r1(X175,X201) )
| ~ sP2(X175) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X175] :
( ? [X201] :
( ? [X202] :
( ! [X203] :
( ~ p2(X203)
| ! [X204] :
( p2(X204)
| ~ r1(X203,X204) )
| ~ r1(X202,X203) )
& ~ p2(X202)
& r1(X201,X202) )
& r1(X175,X201) )
| ~ sP2(X175) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1616,plain,
( sP2(sK170)
| ~ spl180_139 ),
inference(avatar_component_clause,[],[f1614]) ).
fof(f9193,plain,
( sP8(sK157(sK170))
| ~ r1(sK170,sK157(sK170))
| sP7(sK157(sK170))
| ~ spl180_36
| ~ spl180_167 ),
inference(resolution,[],[f1805,f5235]) ).
fof(f5235,plain,
( ! [X0] :
( ~ p2(X0)
| sP8(X0)
| ~ r1(sK170,X0)
| sP7(X0) )
| ~ spl180_36 ),
inference(resolution,[],[f980,f722]) ).
fof(f722,plain,
! [X0,X1] :
( ~ sP10(X0)
| sP7(X1)
| sP8(X1)
| ~ r1(X0,X1)
| ~ p2(X1) ),
inference(cnf_transformation,[],[f329]) ).
fof(f329,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p2(X1) )
| ( sP7(X1)
& sP6(X1) )
| sP8(X1)
| ~ r1(X0,X1) )
| ~ sP10(X0) ),
inference(rectify,[],[f328]) ).
fof(f328,plain,
! [X175] :
( ! [X176] :
( ( ! [X177] :
( ~ p2(X177)
| ! [X178] :
( p2(X178)
| ~ r1(X177,X178) )
| ~ r1(X176,X177) )
& ~ p2(X176) )
| ( sP7(X176)
& sP6(X176) )
| sP8(X176)
| ~ r1(X175,X176) )
| ~ sP10(X175) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X175] :
( ! [X176] :
( ( ! [X177] :
( ~ p2(X177)
| ! [X178] :
( p2(X178)
| ~ r1(X177,X178) )
| ~ r1(X176,X177) )
& ~ p2(X176) )
| ( sP7(X176)
& sP6(X176) )
| sP8(X176)
| ~ r1(X175,X176) )
| ~ sP10(X175) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f980,plain,
( sP10(sK170)
| ~ spl180_36 ),
inference(avatar_component_clause,[],[f978]) ).
fof(f1805,plain,
( p2(sK157(sK170))
| ~ spl180_167 ),
inference(avatar_component_clause,[],[f1803]) ).
fof(f9129,plain,
( ~ spl180_139
| ~ spl180_903
| spl180_967
| ~ spl180_968 ),
inference(avatar_contradiction_clause,[],[f9128]) ).
fof(f9128,plain,
( $false
| ~ spl180_139
| ~ spl180_903
| spl180_967
| ~ spl180_968 ),
inference(subsumption_resolution,[],[f9127,f8926]) ).
fof(f8926,plain,
( sP5(sK158(sK170))
| ~ spl180_139
| ~ spl180_903 ),
inference(subsumption_resolution,[],[f8896,f1616]) ).
fof(f8896,plain,
( sP5(sK158(sK170))
| ~ sP2(sK170)
| ~ spl180_903 ),
inference(resolution,[],[f8894,f754]) ).
fof(f754,plain,
! [X0] :
( r1(sK157(X0),sK158(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f365]) ).
fof(f8894,plain,
( ! [X0] :
( ~ r1(sK157(sK170),X0)
| sP5(X0) )
| ~ spl180_903 ),
inference(resolution,[],[f7383,f732]) ).
fof(f732,plain,
! [X0,X1] :
( ~ sP8(X0)
| ~ r1(X0,X1)
| sP5(X1) ),
inference(cnf_transformation,[],[f335]) ).
fof(f335,plain,
! [X0] :
( ! [X1] :
( ( sP5(X1)
& ( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK146(X1),X3) )
& ~ p2(sK146(X1))
& r1(X1,sK146(X1)) )
| sP4(X1) ) )
| ~ r1(X0,X1) )
| ~ sP8(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK146])],[f333,f334]) ).
fof(f334,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(sK146(X1),X3) )
& ~ p2(sK146(X1))
& r1(X1,sK146(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f333,plain,
! [X0] :
( ! [X1] :
( ( sP5(X1)
& ( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| sP4(X1) ) )
| ~ r1(X0,X1) )
| ~ sP8(X0) ),
inference(rectify,[],[f332]) ).
fof(f332,plain,
! [X176] :
( ! [X186] :
( ( sP5(X186)
& ( ? [X189] :
( ! [X190] :
( ~ p2(X190)
| ! [X191] :
( p2(X191)
| ~ r1(X190,X191) )
| ~ r1(X189,X190) )
& ~ p2(X189)
& r1(X186,X189) )
| sP4(X186) ) )
| ~ r1(X176,X186) )
| ~ sP8(X176) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X176] :
( ! [X186] :
( ( sP5(X186)
& ( ? [X189] :
( ! [X190] :
( ~ p2(X190)
| ! [X191] :
( p2(X191)
| ~ r1(X190,X191) )
| ~ r1(X189,X190) )
& ~ p2(X189)
& r1(X186,X189) )
| sP4(X186) ) )
| ~ r1(X176,X186) )
| ~ sP8(X176) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f7383,plain,
( sP8(sK157(sK170))
| ~ spl180_903 ),
inference(avatar_component_clause,[],[f7381]) ).
fof(f9127,plain,
( ~ sP5(sK158(sK170))
| ~ spl180_139
| ~ spl180_903
| spl180_967
| ~ spl180_968 ),
inference(subsumption_resolution,[],[f9117,f7737]) ).
fof(f7737,plain,
( ~ p2(sK158(sK170))
| spl180_967 ),
inference(avatar_component_clause,[],[f7736]) ).
fof(f7736,plain,
( spl180_967
<=> p2(sK158(sK170)) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_967])]) ).
fof(f9117,plain,
( p2(sK158(sK170))
| ~ sP5(sK158(sK170))
| ~ spl180_139
| ~ spl180_903
| spl180_967
| ~ spl180_968 ),
inference(resolution,[],[f9065,f743]) ).
fof(f743,plain,
! [X0] :
( ~ p2(sK152(X0))
| p2(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f350]) ).
fof(f350,plain,
! [X0] :
( ( p2(sK151(X0))
& ~ p2(sK152(X0))
& r1(sK151(X0),sK152(X0))
& r1(X0,sK151(X0)) )
| p2(X0)
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK151,sK152])],[f347,f349,f348]) ).
fof(f348,plain,
! [X0] :
( ? [X1] :
( p2(X1)
& ? [X2] :
( ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
=> ( p2(sK151(X0))
& ? [X2] :
( ~ p2(X2)
& r1(sK151(X0),X2) )
& r1(X0,sK151(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f349,plain,
! [X0] :
( ? [X2] :
( ~ p2(X2)
& r1(sK151(X0),X2) )
=> ( ~ p2(sK152(X0))
& r1(sK151(X0),sK152(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f347,plain,
! [X0] :
( ? [X1] :
( p2(X1)
& ? [X2] :
( ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
| p2(X0)
| ~ sP5(X0) ),
inference(rectify,[],[f346]) ).
fof(f346,plain,
! [X186] :
( ? [X187] :
( p2(X187)
& ? [X188] :
( ~ p2(X188)
& r1(X187,X188) )
& r1(X186,X187) )
| p2(X186)
| ~ sP5(X186) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X186] :
( ? [X187] :
( p2(X187)
& ? [X188] :
( ~ p2(X188)
& r1(X187,X188) )
& r1(X186,X187) )
| p2(X186)
| ~ sP5(X186) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f9065,plain,
( p2(sK152(sK158(sK170)))
| ~ spl180_139
| ~ spl180_903
| spl180_967
| ~ spl180_968 ),
inference(subsumption_resolution,[],[f9064,f8926]) ).
fof(f9064,plain,
( p2(sK152(sK158(sK170)))
| ~ sP5(sK158(sK170))
| spl180_967
| ~ spl180_968 ),
inference(subsumption_resolution,[],[f9035,f7737]) ).
fof(f9035,plain,
( p2(sK152(sK158(sK170)))
| p2(sK158(sK170))
| ~ sP5(sK158(sK170))
| ~ spl180_968 ),
inference(resolution,[],[f7741,f742]) ).
fof(f742,plain,
! [X0] :
( r1(sK151(X0),sK152(X0))
| p2(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f350]) ).
fof(f7741,plain,
( ! [X1] :
( ~ r1(sK151(sK158(sK170)),X1)
| p2(X1) )
| ~ spl180_968 ),
inference(avatar_component_clause,[],[f7740]) ).
fof(f7740,plain,
( spl180_968
<=> ! [X1] :
( p2(X1)
| ~ r1(sK151(sK158(sK170)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_968])]) ).
fof(f9034,plain,
( spl180_968
| ~ spl180_139
| ~ spl180_903
| spl180_967
| ~ spl180_971 ),
inference(avatar_split_clause,[],[f9033,f7751,f7736,f7381,f1614,f7740]) ).
fof(f7751,plain,
( spl180_971
<=> r1(sK158(sK170),sK151(sK158(sK170))) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_971])]) ).
fof(f9033,plain,
( ! [X0] :
( ~ r1(sK151(sK158(sK170)),X0)
| p2(X0) )
| ~ spl180_139
| ~ spl180_903
| spl180_967
| ~ spl180_971 ),
inference(subsumption_resolution,[],[f9032,f8926]) ).
fof(f9032,plain,
( ! [X0] :
( ~ r1(sK151(sK158(sK170)),X0)
| p2(X0)
| ~ sP5(sK158(sK170)) )
| ~ spl180_139
| spl180_967
| ~ spl180_971 ),
inference(subsumption_resolution,[],[f9031,f7737]) ).
fof(f9031,plain,
( ! [X0] :
( ~ r1(sK151(sK158(sK170)),X0)
| p2(X0)
| p2(sK158(sK170))
| ~ sP5(sK158(sK170)) )
| ~ spl180_139
| ~ spl180_971 ),
inference(resolution,[],[f7753,f5598]) ).
fof(f5598,plain,
( ! [X0,X1] :
( ~ r1(sK158(sK170),sK151(X0))
| ~ r1(sK151(X0),X1)
| p2(X1)
| p2(X0)
| ~ sP5(X0) )
| ~ spl180_139 ),
inference(resolution,[],[f5392,f744]) ).
fof(f744,plain,
! [X0] :
( p2(sK151(X0))
| p2(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f350]) ).
fof(f5392,plain,
( ! [X0,X1] :
( ~ p2(X1)
| ~ r1(X1,X0)
| ~ r1(sK158(sK170),X1)
| p2(X0) )
| ~ spl180_139 ),
inference(resolution,[],[f1616,f756]) ).
fof(f756,plain,
! [X3,X0,X4] :
( ~ sP2(X0)
| p2(X4)
| ~ r1(X3,X4)
| ~ r1(sK158(X0),X3)
| ~ p2(X3) ),
inference(cnf_transformation,[],[f365]) ).
fof(f7753,plain,
( r1(sK158(sK170),sK151(sK158(sK170)))
| ~ spl180_971 ),
inference(avatar_component_clause,[],[f7751]) ).
fof(f8935,plain,
( spl180_971
| ~ spl180_139
| ~ spl180_903
| spl180_967 ),
inference(avatar_split_clause,[],[f8934,f7736,f7381,f1614,f7751]) ).
fof(f8934,plain,
( r1(sK158(sK170),sK151(sK158(sK170)))
| ~ spl180_139
| ~ spl180_903
| spl180_967 ),
inference(subsumption_resolution,[],[f8929,f7737]) ).
fof(f8929,plain,
( p2(sK158(sK170))
| r1(sK158(sK170),sK151(sK158(sK170)))
| ~ spl180_139
| ~ spl180_903 ),
inference(resolution,[],[f8926,f741]) ).
fof(f741,plain,
! [X0] :
( ~ sP5(X0)
| p2(X0)
| r1(X0,sK151(X0)) ),
inference(cnf_transformation,[],[f350]) ).
fof(f8891,plain,
( ~ spl180_902
| spl180_967
| ~ spl180_1084
| ~ spl180_1085 ),
inference(avatar_contradiction_clause,[],[f8890]) ).
fof(f8890,plain,
( $false
| ~ spl180_902
| spl180_967
| ~ spl180_1084
| ~ spl180_1085 ),
inference(subsumption_resolution,[],[f8889,f8622]) ).
fof(f8622,plain,
( r1(sK157(sK170),sK158(sK170))
| ~ spl180_1084 ),
inference(avatar_component_clause,[],[f8621]) ).
fof(f8621,plain,
( spl180_1084
<=> r1(sK157(sK170),sK158(sK170)) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_1084])]) ).
fof(f8889,plain,
( ~ r1(sK157(sK170),sK158(sK170))
| ~ spl180_902
| spl180_967
| ~ spl180_1085 ),
inference(resolution,[],[f8778,f7379]) ).
fof(f7379,plain,
( sP7(sK157(sK170))
| ~ spl180_902 ),
inference(avatar_component_clause,[],[f7377]) ).
fof(f8778,plain,
( ! [X0] :
( ~ sP7(X0)
| ~ r1(X0,sK158(sK170)) )
| spl180_967
| ~ spl180_1085 ),
inference(subsumption_resolution,[],[f8769,f7737]) ).
fof(f8769,plain,
( ! [X0] :
( p2(sK158(sK170))
| ~ r1(X0,sK158(sK170))
| ~ sP7(X0) )
| ~ spl180_1085 ),
inference(resolution,[],[f8627,f735]) ).
fof(f735,plain,
! [X0,X1] :
( ~ p2(sK148(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f340]) ).
fof(f340,plain,
! [X0] :
( ! [X1] :
( ( p2(sK147(X1))
& ~ p2(sK148(X1))
& r1(sK147(X1),sK148(X1))
& r1(X1,sK147(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP7(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK147,sK148])],[f337,f339,f338]) ).
fof(f338,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK147(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK147(X1),X3) )
& r1(X1,sK147(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f339,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK147(X1),X3) )
=> ( ~ p2(sK148(X1))
& r1(sK147(X1),sK148(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f337,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP7(X0) ),
inference(rectify,[],[f336]) ).
fof(f336,plain,
! [X176] :
( ! [X179] :
( ? [X180] :
( p2(X180)
& ? [X181] :
( ~ p2(X181)
& r1(X180,X181) )
& r1(X179,X180) )
| p2(X179)
| ~ r1(X176,X179) )
| ~ sP7(X176) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X176] :
( ! [X179] :
( ? [X180] :
( p2(X180)
& ? [X181] :
( ~ p2(X181)
& r1(X180,X181) )
& r1(X179,X180) )
| p2(X179)
| ~ r1(X176,X179) )
| ~ sP7(X176) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f8627,plain,
( p2(sK148(sK158(sK170)))
| ~ spl180_1085 ),
inference(avatar_component_clause,[],[f8625]) ).
fof(f8625,plain,
( spl180_1085
<=> p2(sK148(sK158(sK170))) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_1085])]) ).
fof(f8768,plain,
( ~ spl180_139
| spl180_1084 ),
inference(avatar_contradiction_clause,[],[f8767]) ).
fof(f8767,plain,
( $false
| ~ spl180_139
| spl180_1084 ),
inference(subsumption_resolution,[],[f8766,f1616]) ).
fof(f8766,plain,
( ~ sP2(sK170)
| spl180_1084 ),
inference(resolution,[],[f8623,f754]) ).
fof(f8623,plain,
( ~ r1(sK157(sK170),sK158(sK170))
| spl180_1084 ),
inference(avatar_component_clause,[],[f8621]) ).
fof(f8628,plain,
( ~ spl180_1084
| spl180_1085
| ~ spl180_902
| spl180_967
| ~ spl180_1054 ),
inference(avatar_split_clause,[],[f8619,f8348,f7736,f7377,f8625,f8621]) ).
fof(f8348,plain,
( spl180_1054
<=> ! [X0] :
( p2(X0)
| ~ r1(sK147(sK158(sK170)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_1054])]) ).
fof(f8619,plain,
( p2(sK148(sK158(sK170)))
| ~ r1(sK157(sK170),sK158(sK170))
| ~ spl180_902
| spl180_967
| ~ spl180_1054 ),
inference(subsumption_resolution,[],[f8589,f7737]) ).
fof(f8589,plain,
( p2(sK148(sK158(sK170)))
| ~ r1(sK157(sK170),sK158(sK170))
| p2(sK158(sK170))
| ~ spl180_902
| ~ spl180_1054 ),
inference(resolution,[],[f8349,f8074]) ).
fof(f8074,plain,
( ! [X0] :
( r1(sK147(X0),sK148(X0))
| ~ r1(sK157(sK170),X0)
| p2(X0) )
| ~ spl180_902 ),
inference(resolution,[],[f7379,f734]) ).
fof(f734,plain,
! [X0,X1] :
( ~ sP7(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(sK147(X1),sK148(X1)) ),
inference(cnf_transformation,[],[f340]) ).
fof(f8349,plain,
( ! [X0] :
( ~ r1(sK147(sK158(sK170)),X0)
| p2(X0) )
| ~ spl180_1054 ),
inference(avatar_component_clause,[],[f8348]) ).
fof(f8377,plain,
( ~ spl180_1028
| spl180_1054
| ~ spl180_139
| ~ spl180_1019 ),
inference(avatar_split_clause,[],[f8341,f8111,f1614,f8348,f8186]) ).
fof(f8186,plain,
( spl180_1028
<=> r1(sK158(sK170),sK147(sK158(sK170))) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_1028])]) ).
fof(f8111,plain,
( spl180_1019
<=> p2(sK147(sK158(sK170))) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_1019])]) ).
fof(f8341,plain,
( ! [X0] :
( ~ r1(sK147(sK158(sK170)),X0)
| ~ r1(sK158(sK170),sK147(sK158(sK170)))
| p2(X0) )
| ~ spl180_139
| ~ spl180_1019 ),
inference(resolution,[],[f8113,f5392]) ).
fof(f8113,plain,
( p2(sK147(sK158(sK170)))
| ~ spl180_1019 ),
inference(avatar_component_clause,[],[f8111]) ).
fof(f8220,plain,
( ~ spl180_139
| ~ spl180_967 ),
inference(avatar_contradiction_clause,[],[f8219]) ).
fof(f8219,plain,
( $false
| ~ spl180_139
| ~ spl180_967 ),
inference(subsumption_resolution,[],[f8211,f1616]) ).
fof(f8211,plain,
( ~ sP2(sK170)
| ~ spl180_967 ),
inference(resolution,[],[f7738,f755]) ).
fof(f755,plain,
! [X0] :
( ~ p2(sK158(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f365]) ).
fof(f7738,plain,
( p2(sK158(sK170))
| ~ spl180_967 ),
inference(avatar_component_clause,[],[f7736]) ).
fof(f8189,plain,
( spl180_1028
| spl180_967
| ~ spl180_139
| ~ spl180_902 ),
inference(avatar_split_clause,[],[f8184,f7377,f1614,f7736,f8186]) ).
fof(f8184,plain,
( p2(sK158(sK170))
| r1(sK158(sK170),sK147(sK158(sK170)))
| ~ spl180_139
| ~ spl180_902 ),
inference(subsumption_resolution,[],[f8154,f1616]) ).
fof(f8154,plain,
( p2(sK158(sK170))
| r1(sK158(sK170),sK147(sK158(sK170)))
| ~ sP2(sK170)
| ~ spl180_902 ),
inference(resolution,[],[f8075,f754]) ).
fof(f8075,plain,
( ! [X0] :
( ~ r1(sK157(sK170),X0)
| p2(X0)
| r1(X0,sK147(X0)) )
| ~ spl180_902 ),
inference(resolution,[],[f7379,f733]) ).
fof(f733,plain,
! [X0,X1] :
( ~ sP7(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK147(X1)) ),
inference(cnf_transformation,[],[f340]) ).
fof(f8114,plain,
( spl180_1019
| spl180_967
| ~ spl180_139
| ~ spl180_902 ),
inference(avatar_split_clause,[],[f8109,f7377,f1614,f7736,f8111]) ).
fof(f8109,plain,
( p2(sK158(sK170))
| p2(sK147(sK158(sK170)))
| ~ spl180_139
| ~ spl180_902 ),
inference(subsumption_resolution,[],[f8079,f1616]) ).
fof(f8079,plain,
( p2(sK158(sK170))
| p2(sK147(sK158(sK170)))
| ~ sP2(sK170)
| ~ spl180_902 ),
inference(resolution,[],[f8076,f754]) ).
fof(f8076,plain,
( ! [X0] :
( ~ r1(sK157(sK170),X0)
| p2(X0)
| p2(sK147(X0)) )
| ~ spl180_902 ),
inference(resolution,[],[f7379,f736]) ).
fof(f736,plain,
! [X0,X1] :
( ~ sP7(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK147(X1)) ),
inference(cnf_transformation,[],[f340]) ).
fof(f7384,plain,
( spl180_167
| spl180_902
| spl180_903
| ~ spl180_138
| ~ spl180_139
| ~ spl180_657 ),
inference(avatar_split_clause,[],[f7375,f5705,f1614,f1609,f7381,f7377,f1803]) ).
fof(f1609,plain,
( spl180_138
<=> sP3(sK170) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_138])]) ).
fof(f5705,plain,
( spl180_657
<=> ! [X1] :
( ~ r1(X1,sK155(sK157(sK170)))
| ~ r1(sK170,X1)
| sP8(X1)
| sP7(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_657])]) ).
fof(f7375,plain,
( sP8(sK157(sK170))
| sP7(sK157(sK170))
| p2(sK157(sK170))
| ~ spl180_138
| ~ spl180_139
| ~ spl180_657 ),
inference(subsumption_resolution,[],[f7374,f5393]) ).
fof(f7374,plain,
( ~ r1(sK170,sK157(sK170))
| sP8(sK157(sK170))
| sP7(sK157(sK170))
| p2(sK157(sK170))
| ~ spl180_138
| ~ spl180_657 ),
inference(duplicate_literal_removal,[],[f7373]) ).
fof(f7373,plain,
( ~ r1(sK170,sK157(sK170))
| sP8(sK157(sK170))
| sP7(sK157(sK170))
| ~ r1(sK170,sK157(sK170))
| p2(sK157(sK170))
| ~ spl180_138
| ~ spl180_657 ),
inference(resolution,[],[f5706,f5371]) ).
fof(f5371,plain,
( ! [X0] :
( r1(X0,sK155(X0))
| ~ r1(sK170,X0)
| p2(X0) )
| ~ spl180_138 ),
inference(resolution,[],[f1611,f749]) ).
fof(f749,plain,
! [X0,X1] :
( ~ sP3(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK155(X1)) ),
inference(cnf_transformation,[],[f360]) ).
fof(f360,plain,
! [X0] :
( ! [X1] :
( ( p2(sK155(X1))
& ~ p2(sK156(X1))
& r1(sK155(X1),sK156(X1))
& r1(X1,sK155(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK155,sK156])],[f357,f359,f358]) ).
fof(f358,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK155(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK155(X1),X3) )
& r1(X1,sK155(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK155(X1),X3) )
=> ( ~ p2(sK156(X1))
& r1(sK155(X1),sK156(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f357,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP3(X0) ),
inference(rectify,[],[f356]) ).
fof(f356,plain,
! [X175] :
( ! [X198] :
( ? [X199] :
( p2(X199)
& ? [X200] :
( ~ p2(X200)
& r1(X199,X200) )
& r1(X198,X199) )
| p2(X198)
| ~ r1(X175,X198) )
| ~ sP3(X175) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X175] :
( ! [X198] :
( ? [X199] :
( p2(X199)
& ? [X200] :
( ~ p2(X200)
& r1(X199,X200) )
& r1(X198,X199) )
| p2(X198)
| ~ r1(X175,X198) )
| ~ sP3(X175) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1611,plain,
( sP3(sK170)
| ~ spl180_138 ),
inference(avatar_component_clause,[],[f1609]) ).
fof(f5706,plain,
( ! [X1] :
( ~ r1(X1,sK155(sK157(sK170)))
| ~ r1(sK170,X1)
| sP8(X1)
| sP7(X1) )
| ~ spl180_657 ),
inference(avatar_component_clause,[],[f5705]) ).
fof(f7372,plain,
( ~ spl180_138
| ~ spl180_139
| ~ spl180_837 ),
inference(avatar_contradiction_clause,[],[f7371]) ).
fof(f7371,plain,
( $false
| ~ spl180_138
| ~ spl180_139
| ~ spl180_837 ),
inference(subsumption_resolution,[],[f7370,f5393]) ).
fof(f7370,plain,
( ~ r1(sK170,sK157(sK170))
| ~ spl180_138
| ~ spl180_837 ),
inference(resolution,[],[f6834,f1611]) ).
fof(f6834,plain,
( ! [X0] :
( ~ sP3(X0)
| ~ r1(X0,sK157(sK170)) )
| ~ spl180_837 ),
inference(avatar_component_clause,[],[f6833]) ).
fof(f6833,plain,
( spl180_837
<=> ! [X0] :
( ~ r1(X0,sK157(sK170))
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_837])]) ).
fof(f6835,plain,
( spl180_837
| spl180_167
| ~ spl180_831 ),
inference(avatar_split_clause,[],[f6824,f6775,f1803,f6833]) ).
fof(f6775,plain,
( spl180_831
<=> p2(sK156(sK157(sK170))) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_831])]) ).
fof(f6824,plain,
( ! [X0] :
( p2(sK157(sK170))
| ~ r1(X0,sK157(sK170))
| ~ sP3(X0) )
| ~ spl180_831 ),
inference(resolution,[],[f6777,f751]) ).
fof(f751,plain,
! [X0,X1] :
( ~ p2(sK156(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f360]) ).
fof(f6777,plain,
( p2(sK156(sK157(sK170)))
| ~ spl180_831 ),
inference(avatar_component_clause,[],[f6775]) ).
fof(f6778,plain,
( spl180_167
| spl180_831
| ~ spl180_138
| ~ spl180_139
| ~ spl180_656 ),
inference(avatar_split_clause,[],[f6773,f5701,f1614,f1609,f6775,f1803]) ).
fof(f5701,plain,
( spl180_656
<=> ! [X0] :
( p2(X0)
| ~ r1(sK155(sK157(sK170)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_656])]) ).
fof(f6773,plain,
( p2(sK156(sK157(sK170)))
| p2(sK157(sK170))
| ~ spl180_138
| ~ spl180_139
| ~ spl180_656 ),
inference(subsumption_resolution,[],[f6744,f5393]) ).
fof(f6744,plain,
( p2(sK156(sK157(sK170)))
| ~ r1(sK170,sK157(sK170))
| p2(sK157(sK170))
| ~ spl180_138
| ~ spl180_656 ),
inference(resolution,[],[f5702,f5370]) ).
fof(f5370,plain,
( ! [X0] :
( r1(sK155(X0),sK156(X0))
| ~ r1(sK170,X0)
| p2(X0) )
| ~ spl180_138 ),
inference(resolution,[],[f1611,f750]) ).
fof(f750,plain,
! [X0,X1] :
( ~ sP3(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(sK155(X1),sK156(X1)) ),
inference(cnf_transformation,[],[f360]) ).
fof(f5702,plain,
( ! [X0] :
( ~ r1(sK155(sK157(sK170)),X0)
| p2(X0) )
| ~ spl180_656 ),
inference(avatar_component_clause,[],[f5701]) ).
fof(f5707,plain,
( spl180_657
| spl180_656
| ~ spl180_36
| ~ spl180_166 ),
inference(avatar_split_clause,[],[f5692,f1799,f978,f5701,f5705]) ).
fof(f1799,plain,
( spl180_166
<=> p2(sK155(sK157(sK170))) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_166])]) ).
fof(f5692,plain,
( ! [X0,X1] :
( ~ r1(sK155(sK157(sK170)),X0)
| ~ r1(X1,sK155(sK157(sK170)))
| sP7(X1)
| sP8(X1)
| ~ r1(sK170,X1)
| p2(X0) )
| ~ spl180_36
| ~ spl180_166 ),
inference(resolution,[],[f1801,f5233]) ).
fof(f5233,plain,
( ! [X2,X0,X1] :
( ~ p2(X1)
| ~ r1(X1,X0)
| ~ r1(X2,X1)
| sP7(X2)
| sP8(X2)
| ~ r1(sK170,X2)
| p2(X0) )
| ~ spl180_36 ),
inference(resolution,[],[f980,f724]) ).
fof(f724,plain,
! [X2,X3,X0,X1] :
( ~ sP10(X0)
| p2(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| sP7(X1)
| sP8(X1)
| ~ r1(X0,X1)
| ~ p2(X2) ),
inference(cnf_transformation,[],[f329]) ).
fof(f1801,plain,
( p2(sK155(sK157(sK170)))
| ~ spl180_166 ),
inference(avatar_component_clause,[],[f1799]) ).
fof(f5517,plain,
( spl180_166
| spl180_167
| ~ spl180_138
| ~ spl180_139 ),
inference(avatar_split_clause,[],[f5489,f1614,f1609,f1803,f1799]) ).
fof(f5489,plain,
( p2(sK157(sK170))
| p2(sK155(sK157(sK170)))
| ~ spl180_138
| ~ spl180_139 ),
inference(resolution,[],[f5372,f5393]) ).
fof(f5372,plain,
( ! [X0] :
( ~ r1(sK170,X0)
| p2(X0)
| p2(sK155(X0)) )
| ~ spl180_138 ),
inference(resolution,[],[f1611,f752]) ).
fof(f752,plain,
! [X0,X1] :
( ~ sP3(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK155(X1)) ),
inference(cnf_transformation,[],[f360]) ).
fof(f5391,plain,
( ~ spl180_219
| spl180_242
| ~ spl180_142
| ~ spl180_621 ),
inference(avatar_split_clause,[],[f5387,f5366,f1631,f2237,f2070]) ).
fof(f2070,plain,
( spl180_219
<=> r1(sK170,sK174(sK170)) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_219])]) ).
fof(f2237,plain,
( spl180_242
<=> ! [X0] :
( ~ r1(sK174(sK170),X0)
| p2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_242])]) ).
fof(f1631,plain,
( spl180_142
<=> p2(sK174(sK170)) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_142])]) ).
fof(f5366,plain,
( spl180_621
<=> ! [X0,X1] :
( p2(X0)
| ~ p2(X1)
| ~ r1(sK170,X1)
| ~ r1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_621])]) ).
fof(f5387,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK170,sK174(sK170))
| ~ r1(sK174(sK170),X0) )
| ~ spl180_142
| ~ spl180_621 ),
inference(resolution,[],[f5367,f1633]) ).
fof(f1633,plain,
( p2(sK174(sK170))
| ~ spl180_142 ),
inference(avatar_component_clause,[],[f1631]) ).
fof(f5367,plain,
( ! [X0,X1] :
( ~ p2(X1)
| p2(X0)
| ~ r1(sK170,X1)
| ~ r1(X1,X0) )
| ~ spl180_621 ),
inference(avatar_component_clause,[],[f5366]) ).
fof(f5369,plain,
( spl180_139
| spl180_621
| ~ spl180_37 ),
inference(avatar_split_clause,[],[f2199,f983,f5366,f1614]) ).
fof(f983,plain,
( spl180_37
<=> sP9(sK170) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_37])]) ).
fof(f2199,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(X1,X0)
| ~ r1(sK170,X1)
| sP2(sK170)
| ~ p2(X1) )
| ~ spl180_37 ),
inference(resolution,[],[f727,f985]) ).
fof(f985,plain,
( sP9(sK170)
| ~ spl180_37 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f727,plain,
! [X2,X0,X1] :
( ~ sP9(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| sP2(X0)
| ~ p2(X1) ),
inference(cnf_transformation,[],[f331]) ).
fof(f331,plain,
! [X0] :
( ( ! [X1] :
( ~ p2(X1)
| ! [X2] :
( p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ~ p2(X0) )
| ( sP3(X0)
& sP2(X0) )
| ~ sP9(X0) ),
inference(rectify,[],[f330]) ).
fof(f330,plain,
! [X175] :
( ( ! [X196] :
( ~ p2(X196)
| ! [X197] :
( p2(X197)
| ~ r1(X196,X197) )
| ~ r1(X175,X196) )
& ~ p2(X175) )
| ( sP3(X175)
& sP2(X175) )
| ~ sP9(X175) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X175] :
( ( ! [X196] :
( ~ p2(X196)
| ! [X197] :
( p2(X197)
| ~ r1(X196,X197) )
| ~ r1(X175,X196) )
& ~ p2(X175) )
| ( sP3(X175)
& sP2(X175) )
| ~ sP9(X175) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f5368,plain,
( spl180_138
| spl180_621
| ~ spl180_37 ),
inference(avatar_split_clause,[],[f2200,f983,f5366,f1609]) ).
fof(f2200,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(X1,X0)
| ~ r1(sK170,X1)
| sP3(sK170)
| ~ p2(X1) )
| ~ spl180_37 ),
inference(resolution,[],[f728,f985]) ).
fof(f728,plain,
! [X2,X0,X1] :
( ~ sP9(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| sP3(X0)
| ~ p2(X1) ),
inference(cnf_transformation,[],[f331]) ).
fof(f5333,plain,
( ~ spl180_38
| spl180_137
| ~ spl180_604 ),
inference(avatar_contradiction_clause,[],[f5332]) ).
fof(f5332,plain,
( $false
| ~ spl180_38
| spl180_137
| ~ spl180_604 ),
inference(subsumption_resolution,[],[f5331,f990]) ).
fof(f990,plain,
( r1(sK163,sK170)
| ~ spl180_38 ),
inference(avatar_component_clause,[],[f988]) ).
fof(f988,plain,
( spl180_38
<=> r1(sK163,sK170) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_38])]) ).
fof(f5331,plain,
( ~ r1(sK163,sK170)
| spl180_137
| ~ spl180_604 ),
inference(subsumption_resolution,[],[f5325,f1607]) ).
fof(f1607,plain,
( ~ p2(sK170)
| spl180_137 ),
inference(avatar_component_clause,[],[f1605]) ).
fof(f1605,plain,
( spl180_137
<=> p2(sK170) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_137])]) ).
fof(f5325,plain,
( p2(sK170)
| ~ r1(sK163,sK170)
| ~ spl180_604 ),
inference(resolution,[],[f5230,f775]) ).
fof(f775,plain,
! [X47] :
( ~ p2(sK175(X47))
| p2(X47)
| ~ r1(sK163,X47) ),
inference(cnf_transformation,[],[f394]) ).
fof(f394,plain,
( ! [X1] :
( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK164(X1),X3) )
& ~ p2(sK164(X1))
& r1(X1,sK164(X1)) )
| p2(X1)
| ~ r1(sK163,X1) )
& ( ( sP71(sK165)
& r1(sK165,sK166)
& ~ p1(sK165)
& r1(sK163,sK165) )
| ! [X7] : ~ r1(sK163,X7)
| p1(sK163) )
& ( sP70(sK163)
| ! [X8] : ~ r1(sK163,X8)
| p1(sK163)
| p2(sK163) )
& ( sP68(sK163)
| ! [X9] : ~ r1(sK163,X9)
| p1(sK163)
| p2(sK163)
| p3(sK163) )
& ( sP66(sK163)
| ! [X10] : ~ r1(sK163,X10)
| p1(sK163)
| p2(sK163)
| p3(sK163)
| p4(sK163) )
& ( ( sP64(sK167)
& sP63(sK167)
& ~ p1(sK167)
& r1(sK163,sK167) )
| ! [X12] :
( ! [X13] : ~ r1(X12,X13)
| p1(X12)
| p2(X12)
| p3(X12)
| p4(X12)
| ~ r1(sK163,X12) )
| p1(sK163) )
& ( sP61(sK163)
| ! [X14] :
( ! [X15] : ~ r1(X14,X15)
| p1(X14)
| p2(X14)
| p3(X14)
| p4(X14)
| ~ r1(sK163,X14) )
| p1(sK163)
| p2(sK163) )
& ( sP57(sK163)
| ! [X16] :
( ! [X17] : ~ r1(X16,X17)
| p1(X16)
| p2(X16)
| p3(X16)
| p4(X16)
| ~ r1(sK163,X16) )
| p1(sK163)
| p2(sK163)
| p3(sK163) )
& ( sP53(sK163)
| ! [X18] :
( ! [X19] : ~ r1(X18,X19)
| p1(X18)
| p2(X18)
| p3(X18)
| p4(X18)
| ~ r1(sK163,X18) )
| p1(sK163)
| p2(sK163)
| p3(sK163)
| p4(sK163) )
& ( ( sP49(sK168)
& sP48(sK168)
& ~ p1(sK168)
& r1(sK163,sK168) )
| ! [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(sK163,X21) )
| p1(sK163) )
& ( sP44(sK163)
| ! [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(sK163,X24) )
| p1(sK163)
| p2(sK163) )
& ( sP38(sK163)
| ! [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(sK163,X27) )
| p1(sK163)
| p2(sK163)
| p3(sK163) )
& ( sP32(sK163)
| ! [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(sK163,X30) )
| p1(sK163)
| p2(sK163)
| p3(sK163)
| p4(sK163) )
& ( ( sP26(sK169)
& sP25(sK169)
& ~ p1(sK169)
& r1(sK163,sK169) )
| ! [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(sK163,X34) )
| p1(sK163) )
& ( sP19(sK163)
| ! [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(sK163,X38) )
| p1(sK163)
| p2(sK163) )
& ( ( sP10(sK170)
& sP9(sK170)
& r1(sK163,sK170) )
| sP11(sK163) )
& ! [X43] :
( ( p1(sK171(X43))
& ~ p1(sK172(X43))
& r1(sK171(X43),sK172(X43))
& r1(X43,sK171(X43)) )
| p1(X43)
| ~ r1(sK163,X43) )
& ~ p1(sK173)
& r1(sK163,sK173)
& ! [X47] :
( ( p2(sK174(X47))
& ~ p2(sK175(X47))
& r1(sK174(X47),sK175(X47))
& r1(X47,sK174(X47)) )
| p2(X47)
| ~ r1(sK163,X47) )
& ~ p2(sK176)
& r1(sK163,sK176)
& ! [X51] :
( ( p3(sK177(X51))
& ~ p3(sK178(X51))
& r1(sK177(X51),sK178(X51))
& r1(X51,sK177(X51)) )
| p3(X51)
| ~ r1(sK163,X51) )
& ~ p3(sK179)
& r1(sK163,sK179) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK163,sK164,sK165,sK166,sK167,sK168,sK169,sK170,sK171,sK172,sK173,sK174,sK175,sK176,sK177,sK178,sK179])],[f376,f393,f392,f391,f390,f389,f388,f387,f386,f385,f384,f383,f382,f381,f380,f379,f378,f377]) ).
fof(f377,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] :
( sP71(X5)
& ? [X6] : r1(X5,X6)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X7] : ~ r1(X0,X7)
| p1(X0) )
& ( sP70(X0)
| ! [X8] : ~ r1(X0,X8)
| p1(X0)
| p2(X0) )
& ( sP68(X0)
| ! [X9] : ~ r1(X0,X9)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP66(X0)
| ! [X10] : ~ r1(X0,X10)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X11] :
( sP64(X11)
& sP63(X11)
& ~ p1(X11)
& r1(X0,X11) )
| ! [X12] :
( ! [X13] : ~ r1(X12,X13)
| p1(X12)
| p2(X12)
| p3(X12)
| p4(X12)
| ~ r1(X0,X12) )
| p1(X0) )
& ( sP61(X0)
| ! [X14] :
( ! [X15] : ~ r1(X14,X15)
| p1(X14)
| p2(X14)
| p3(X14)
| p4(X14)
| ~ r1(X0,X14) )
| p1(X0)
| p2(X0) )
& ( sP57(X0)
| ! [X16] :
( ! [X17] : ~ r1(X16,X17)
| p1(X16)
| p2(X16)
| p3(X16)
| p4(X16)
| ~ r1(X0,X16) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP53(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] :
( sP49(X20)
& sP48(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) )
& ( sP44(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) )
& ( sP38(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) )
& ( sP32(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] :
( sP26(X33)
& sP25(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) )
& ( sP19(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] :
( sP10(X42)
& sP9(X42)
& r1(X0,X42) )
| sP11(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) )
& ! [X47] :
( ? [X48] :
( p2(X48)
& ? [X49] :
( ~ p2(X49)
& r1(X48,X49) )
& r1(X47,X48) )
| p2(X47)
| ~ r1(X0,X47) )
& ? [X50] :
( ~ p2(X50)
& r1(X0,X50) )
& ! [X51] :
( ? [X52] :
( p3(X52)
& ? [X53] :
( ~ p3(X53)
& r1(X52,X53) )
& r1(X51,X52) )
| p3(X51)
| ~ r1(X0,X51) )
& ? [X54] :
( ~ p3(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(sK163,X1) )
& ( ? [X5] :
( sP71(X5)
& ? [X6] : r1(X5,X6)
& ~ p1(X5)
& r1(sK163,X5) )
| ! [X7] : ~ r1(sK163,X7)
| p1(sK163) )
& ( sP70(sK163)
| ! [X8] : ~ r1(sK163,X8)
| p1(sK163)
| p2(sK163) )
& ( sP68(sK163)
| ! [X9] : ~ r1(sK163,X9)
| p1(sK163)
| p2(sK163)
| p3(sK163) )
& ( sP66(sK163)
| ! [X10] : ~ r1(sK163,X10)
| p1(sK163)
| p2(sK163)
| p3(sK163)
| p4(sK163) )
& ( ? [X11] :
( sP64(X11)
& sP63(X11)
& ~ p1(X11)
& r1(sK163,X11) )
| ! [X12] :
( ! [X13] : ~ r1(X12,X13)
| p1(X12)
| p2(X12)
| p3(X12)
| p4(X12)
| ~ r1(sK163,X12) )
| p1(sK163) )
& ( sP61(sK163)
| ! [X14] :
( ! [X15] : ~ r1(X14,X15)
| p1(X14)
| p2(X14)
| p3(X14)
| p4(X14)
| ~ r1(sK163,X14) )
| p1(sK163)
| p2(sK163) )
& ( sP57(sK163)
| ! [X16] :
( ! [X17] : ~ r1(X16,X17)
| p1(X16)
| p2(X16)
| p3(X16)
| p4(X16)
| ~ r1(sK163,X16) )
| p1(sK163)
| p2(sK163)
| p3(sK163) )
& ( sP53(sK163)
| ! [X18] :
( ! [X19] : ~ r1(X18,X19)
| p1(X18)
| p2(X18)
| p3(X18)
| p4(X18)
| ~ r1(sK163,X18) )
| p1(sK163)
| p2(sK163)
| p3(sK163)
| p4(sK163) )
& ( ? [X20] :
( sP49(X20)
& sP48(X20)
& ~ p1(X20)
& r1(sK163,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(sK163,X21) )
| p1(sK163) )
& ( sP44(sK163)
| ! [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(sK163,X24) )
| p1(sK163)
| p2(sK163) )
& ( sP38(sK163)
| ! [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(sK163,X27) )
| p1(sK163)
| p2(sK163)
| p3(sK163) )
& ( sP32(sK163)
| ! [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(sK163,X30) )
| p1(sK163)
| p2(sK163)
| p3(sK163)
| p4(sK163) )
& ( ? [X33] :
( sP26(X33)
& sP25(X33)
& ~ p1(X33)
& r1(sK163,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(sK163,X34) )
| p1(sK163) )
& ( sP19(sK163)
| ! [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(sK163,X38) )
| p1(sK163)
| p2(sK163) )
& ( ? [X42] :
( sP10(X42)
& sP9(X42)
& r1(sK163,X42) )
| sP11(sK163) )
& ! [X43] :
( ? [X44] :
( p1(X44)
& ? [X45] :
( ~ p1(X45)
& r1(X44,X45) )
& r1(X43,X44) )
| p1(X43)
| ~ r1(sK163,X43) )
& ? [X46] :
( ~ p1(X46)
& r1(sK163,X46) )
& ! [X47] :
( ? [X48] :
( p2(X48)
& ? [X49] :
( ~ p2(X49)
& r1(X48,X49) )
& r1(X47,X48) )
| p2(X47)
| ~ r1(sK163,X47) )
& ? [X50] :
( ~ p2(X50)
& r1(sK163,X50) )
& ! [X51] :
( ? [X52] :
( p3(X52)
& ? [X53] :
( ~ p3(X53)
& r1(X52,X53) )
& r1(X51,X52) )
| p3(X51)
| ~ r1(sK163,X51) )
& ? [X54] :
( ~ p3(X54)
& r1(sK163,X54) ) ) ),
introduced(choice_axiom,[]) ).
fof(f378,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(sK164(X1),X3) )
& ~ p2(sK164(X1))
& r1(X1,sK164(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f379,plain,
( ? [X5] :
( sP71(X5)
& ? [X6] : r1(X5,X6)
& ~ p1(X5)
& r1(sK163,X5) )
=> ( sP71(sK165)
& ? [X6] : r1(sK165,X6)
& ~ p1(sK165)
& r1(sK163,sK165) ) ),
introduced(choice_axiom,[]) ).
fof(f380,plain,
( ? [X6] : r1(sK165,X6)
=> r1(sK165,sK166) ),
introduced(choice_axiom,[]) ).
fof(f381,plain,
( ? [X11] :
( sP64(X11)
& sP63(X11)
& ~ p1(X11)
& r1(sK163,X11) )
=> ( sP64(sK167)
& sP63(sK167)
& ~ p1(sK167)
& r1(sK163,sK167) ) ),
introduced(choice_axiom,[]) ).
fof(f382,plain,
( ? [X20] :
( sP49(X20)
& sP48(X20)
& ~ p1(X20)
& r1(sK163,X20) )
=> ( sP49(sK168)
& sP48(sK168)
& ~ p1(sK168)
& r1(sK163,sK168) ) ),
introduced(choice_axiom,[]) ).
fof(f383,plain,
( ? [X33] :
( sP26(X33)
& sP25(X33)
& ~ p1(X33)
& r1(sK163,X33) )
=> ( sP26(sK169)
& sP25(sK169)
& ~ p1(sK169)
& r1(sK163,sK169) ) ),
introduced(choice_axiom,[]) ).
fof(f384,plain,
( ? [X42] :
( sP10(X42)
& sP9(X42)
& r1(sK163,X42) )
=> ( sP10(sK170)
& sP9(sK170)
& r1(sK163,sK170) ) ),
introduced(choice_axiom,[]) ).
fof(f385,plain,
! [X43] :
( ? [X44] :
( p1(X44)
& ? [X45] :
( ~ p1(X45)
& r1(X44,X45) )
& r1(X43,X44) )
=> ( p1(sK171(X43))
& ? [X45] :
( ~ p1(X45)
& r1(sK171(X43),X45) )
& r1(X43,sK171(X43)) ) ),
introduced(choice_axiom,[]) ).
fof(f386,plain,
! [X43] :
( ? [X45] :
( ~ p1(X45)
& r1(sK171(X43),X45) )
=> ( ~ p1(sK172(X43))
& r1(sK171(X43),sK172(X43)) ) ),
introduced(choice_axiom,[]) ).
fof(f387,plain,
( ? [X46] :
( ~ p1(X46)
& r1(sK163,X46) )
=> ( ~ p1(sK173)
& r1(sK163,sK173) ) ),
introduced(choice_axiom,[]) ).
fof(f388,plain,
! [X47] :
( ? [X48] :
( p2(X48)
& ? [X49] :
( ~ p2(X49)
& r1(X48,X49) )
& r1(X47,X48) )
=> ( p2(sK174(X47))
& ? [X49] :
( ~ p2(X49)
& r1(sK174(X47),X49) )
& r1(X47,sK174(X47)) ) ),
introduced(choice_axiom,[]) ).
fof(f389,plain,
! [X47] :
( ? [X49] :
( ~ p2(X49)
& r1(sK174(X47),X49) )
=> ( ~ p2(sK175(X47))
& r1(sK174(X47),sK175(X47)) ) ),
introduced(choice_axiom,[]) ).
fof(f390,plain,
( ? [X50] :
( ~ p2(X50)
& r1(sK163,X50) )
=> ( ~ p2(sK176)
& r1(sK163,sK176) ) ),
introduced(choice_axiom,[]) ).
fof(f391,plain,
! [X51] :
( ? [X52] :
( p3(X52)
& ? [X53] :
( ~ p3(X53)
& r1(X52,X53) )
& r1(X51,X52) )
=> ( p3(sK177(X51))
& ? [X53] :
( ~ p3(X53)
& r1(sK177(X51),X53) )
& r1(X51,sK177(X51)) ) ),
introduced(choice_axiom,[]) ).
fof(f392,plain,
! [X51] :
( ? [X53] :
( ~ p3(X53)
& r1(sK177(X51),X53) )
=> ( ~ p3(sK178(X51))
& r1(sK177(X51),sK178(X51)) ) ),
introduced(choice_axiom,[]) ).
fof(f393,plain,
( ? [X54] :
( ~ p3(X54)
& r1(sK163,X54) )
=> ( ~ p3(sK179)
& r1(sK163,sK179) ) ),
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) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( sP71(X5)
& ? [X6] : r1(X5,X6)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X7] : ~ r1(X0,X7)
| p1(X0) )
& ( sP70(X0)
| ! [X8] : ~ r1(X0,X8)
| p1(X0)
| p2(X0) )
& ( sP68(X0)
| ! [X9] : ~ r1(X0,X9)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP66(X0)
| ! [X10] : ~ r1(X0,X10)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X11] :
( sP64(X11)
& sP63(X11)
& ~ p1(X11)
& r1(X0,X11) )
| ! [X12] :
( ! [X13] : ~ r1(X12,X13)
| p1(X12)
| p2(X12)
| p3(X12)
| p4(X12)
| ~ r1(X0,X12) )
| p1(X0) )
& ( sP61(X0)
| ! [X14] :
( ! [X15] : ~ r1(X14,X15)
| p1(X14)
| p2(X14)
| p3(X14)
| p4(X14)
| ~ r1(X0,X14) )
| p1(X0)
| p2(X0) )
& ( sP57(X0)
| ! [X16] :
( ! [X17] : ~ r1(X16,X17)
| p1(X16)
| p2(X16)
| p3(X16)
| p4(X16)
| ~ r1(X0,X16) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP53(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] :
( sP49(X20)
& sP48(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) )
& ( sP44(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) )
& ( sP38(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) )
& ( sP32(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] :
( sP26(X33)
& sP25(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) )
& ( sP19(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] :
( sP10(X42)
& sP9(X42)
& r1(X0,X42) )
| sP11(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) )
& ! [X47] :
( ? [X48] :
( p2(X48)
& ? [X49] :
( ~ p2(X49)
& r1(X48,X49) )
& r1(X47,X48) )
| p2(X47)
| ~ r1(X0,X47) )
& ? [X50] :
( ~ p2(X50)
& r1(X0,X50) )
& ! [X51] :
( ? [X52] :
( p3(X52)
& ? [X53] :
( ~ p3(X53)
& r1(X52,X53) )
& r1(X51,X52) )
| p3(X51)
| ~ r1(X0,X51) )
& ? [X54] :
( ~ p3(X54)
& r1(X0,X54) ) ),
inference(rectify,[],[f80]) ).
fof(f80,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] :
( sP71(X5)
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( sP70(X0)
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( sP68(X0)
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP66(X0)
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X33] :
( sP64(X33)
& sP63(X33)
& ~ p1(X33)
& r1(X0,X33) )
| ! [X42] :
( ! [X43] : ~ r1(X42,X43)
| p1(X42)
| p2(X42)
| p3(X42)
| p4(X42)
| ~ r1(X0,X42) )
| p1(X0) )
& ( sP61(X0)
| ! [X53] :
( ! [X54] : ~ r1(X53,X54)
| p1(X53)
| p2(X53)
| p3(X53)
| p4(X53)
| ~ r1(X0,X53) )
| p1(X0)
| p2(X0) )
& ( sP57(X0)
| ! [X64] :
( ! [X65] : ~ r1(X64,X65)
| p1(X64)
| p2(X64)
| p3(X64)
| p4(X64)
| ~ r1(X0,X64) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP53(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] :
( sP49(X77)
& sP48(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) )
& ( sP44(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) )
& ( sP38(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) )
& ( sP32(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] :
( sP26(X137)
& sP25(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) )
& ( sP19(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] :
( sP10(X175)
& sP9(X175)
& r1(X0,X175) )
| sP11(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) )
& ! [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] :
( p3(X223)
& ? [X224] :
( ~ p3(X224)
& r1(X223,X224) )
& r1(X222,X223) )
| p3(X222)
| ~ r1(X0,X222) )
& ? [X225] :
( ~ p3(X225)
& r1(X0,X225) ) ),
inference(definition_folding,[],[f7,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,f8]) ).
fof(f8,plain,
! [X0] :
( ! [X210] :
( ! [X211] :
( ? [X212] :
( p2(X212)
& ? [X213] :
( ~ p2(X213)
& r1(X212,X213) )
& r1(X211,X212) )
| p2(X211)
| ~ r1(X210,X211) )
| ~ r1(X0,X210) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f9,plain,
! [X0] :
( ? [X205] :
( p2(X205)
& ? [X206] :
( ~ p2(X206)
& r1(X205,X206) )
& r1(X0,X205) )
| p2(X0)
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f12,plain,
! [X186] :
( ! [X192] :
( ! [X193] :
( ? [X194] :
( p2(X194)
& ? [X195] :
( ~ p2(X195)
& r1(X194,X195) )
& r1(X193,X194) )
| p2(X193)
| ~ r1(X192,X193) )
| ~ r1(X186,X192) )
| ~ sP4(X186) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f14,plain,
! [X176] :
( ? [X182] :
( ? [X183] :
( ! [X184] :
( ~ p2(X184)
| ! [X185] :
( p2(X185)
| ~ r1(X184,X185) )
| ~ r1(X183,X184) )
& ~ p2(X183)
& r1(X182,X183) )
& r1(X176,X182) )
| ~ sP6(X176) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f19,plain,
! [X0] :
( ( sP1(X0)
& ( ? [X207] :
( ! [X208] :
( ~ p2(X208)
| ! [X209] :
( p2(X209)
| ~ r1(X208,X209) )
| ~ r1(X207,X208) )
& ~ p2(X207)
& r1(X0,X207) )
| sP0(X0) ) )
| ~ sP11(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f20,plain,
! [X168] :
( ? [X169] :
( ? [X170] : r1(X169,X170)
& ~ p1(X169)
& ~ p2(X169)
& ~ p3(X169)
& ~ p4(X169)
& r1(X168,X169) )
| ~ sP12(X168) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f21,plain,
! [X167] :
( ? [X168] :
( sP12(X168)
& ~ p1(X168)
& ~ p2(X168)
& ~ p3(X168)
& ~ p4(X168)
& r1(X167,X168) )
| ~ sP13(X167) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f22,plain,
! [X159] :
( ? [X160] :
( ? [X161] : r1(X160,X161)
& ~ p1(X160)
& ~ p2(X160)
& ~ p3(X160)
& ~ p4(X160)
& r1(X159,X160) )
| ~ sP14(X159) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f23,plain,
! [X158] :
( ? [X159] :
( sP14(X159)
& ~ p1(X159)
& ~ p2(X159)
& ~ p3(X159)
& ~ p4(X159)
& r1(X158,X159) )
| ~ sP15(X158) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f24,plain,
! [X157] :
( ? [X158] :
( sP15(X158)
& ~ p1(X158)
& ~ p2(X158)
& ~ p3(X158)
& ~ p4(X158)
& r1(X157,X158) )
| ~ sP16(X157) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f25,plain,
! [X156] :
( ? [X167] :
( sP13(X167)
& ~ p1(X167)
& ~ p2(X167)
& ~ p3(X167)
& ~ p4(X167)
& r1(X156,X167) )
| ~ sP17(X156) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f26,plain,
! [X156] :
( ! [X157] :
( ( sP16(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) )
| ~ sP18(X156) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f27,plain,
! [X0] :
( ? [X156] :
( sP18(X156)
& sP17(X156)
& ~ p1(X156)
& ~ p2(X156)
& r1(X0,X156) )
| ~ sP19(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f28,plain,
! [X149] :
( ? [X150] :
( ? [X151] : r1(X150,X151)
& ~ p1(X150)
& ~ p2(X150)
& ~ p3(X150)
& ~ p4(X150)
& r1(X149,X150) )
| ~ sP20(X149) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f29,plain,
! [X148] :
( ? [X149] :
( sP20(X149)
& ~ p1(X149)
& ~ p2(X149)
& ~ p3(X149)
& ~ p4(X149)
& r1(X148,X149) )
| ~ sP21(X148) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f30,plain,
! [X140] :
( ? [X141] :
( ? [X142] : r1(X141,X142)
& ~ p1(X141)
& ~ p2(X141)
& ~ p3(X141)
& ~ p4(X141)
& r1(X140,X141) )
| ~ sP22(X140) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f31,plain,
! [X139] :
( ? [X140] :
( sP22(X140)
& ~ p1(X140)
& ~ p2(X140)
& ~ p3(X140)
& ~ p4(X140)
& r1(X139,X140) )
| ~ sP23(X139) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f32,plain,
! [X138] :
( ? [X139] :
( sP23(X139)
& ~ p1(X139)
& ~ p2(X139)
& ~ p3(X139)
& ~ p4(X139)
& r1(X138,X139) )
| ~ sP24(X138) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f33,plain,
! [X137] :
( ? [X148] :
( sP21(X148)
& ~ p1(X148)
& ~ p2(X148)
& ~ p3(X148)
& ~ p4(X148)
& r1(X137,X148) )
| ~ sP25(X137) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f34,plain,
! [X137] :
( ! [X138] :
( ( sP24(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) )
| ~ sP26(X137) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f35,plain,
! [X131] :
( ? [X132] :
( ? [X133] : r1(X132,X133)
& ~ p1(X132)
& ~ p2(X132)
& ~ p3(X132)
& ~ p4(X132)
& r1(X131,X132) )
| ~ sP27(X131) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f36,plain,
! [X124] :
( ? [X125] :
( ? [X126] : r1(X125,X126)
& ~ p1(X125)
& ~ p2(X125)
& ~ p3(X125)
& ~ p4(X125)
& r1(X124,X125) )
| ~ sP28(X124) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f37,plain,
! [X123] :
( ? [X124] :
( sP28(X124)
& ~ p1(X124)
& ~ p2(X124)
& ~ p3(X124)
& ~ p4(X124)
& r1(X123,X124) )
| ~ sP29(X123) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f38,plain,
! [X123] :
( ( sP29(X123)
& ~ p1(X123)
& ~ p2(X123)
& ~ p3(X123)
& ~ p4(X123) )
| ~ sP30(X123) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f39,plain,
! [X122] :
( ? [X131] :
( sP27(X131)
& ~ p1(X131)
& ~ p2(X131)
& ~ p3(X131)
& ~ p4(X131)
& r1(X122,X131) )
| ~ sP31(X122) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f40,plain,
! [X0] :
( ? [X122] :
( ! [X123] :
( sP30(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) )
& sP31(X122)
& ~ p1(X122)
& ~ p2(X122)
& ~ p3(X122)
& ~ p4(X122)
& r1(X0,X122) )
| ~ sP32(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f41,plain,
! [X116] :
( ? [X117] :
( ? [X118] : r1(X117,X118)
& ~ p1(X117)
& ~ p2(X117)
& ~ p3(X117)
& ~ p4(X117)
& r1(X116,X117) )
| ~ sP33(X116) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f42,plain,
! [X109] :
( ? [X110] :
( ? [X111] : r1(X110,X111)
& ~ p1(X110)
& ~ p2(X110)
& ~ p3(X110)
& ~ p4(X110)
& r1(X109,X110) )
| ~ sP34(X109) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f43,plain,
! [X108] :
( ? [X109] :
( sP34(X109)
& ~ p1(X109)
& ~ p2(X109)
& ~ p3(X109)
& ~ p4(X109)
& r1(X108,X109) )
| ~ sP35(X108) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f44,plain,
! [X107] :
( ? [X116] :
( sP33(X116)
& ~ p1(X116)
& ~ p2(X116)
& ~ p3(X116)
& ~ p4(X116)
& r1(X107,X116) )
| ~ sP36(X107) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f45,plain,
! [X107] :
( ! [X108] :
( ( sP35(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) )
| ~ sP37(X107) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f46,plain,
! [X0] :
( ? [X107] :
( sP37(X107)
& sP36(X107)
& ~ p1(X107)
& ~ p2(X107)
& ~ p3(X107)
& r1(X0,X107) )
| ~ sP38(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f47,plain,
! [X101] :
( ? [X102] :
( ? [X103] : r1(X102,X103)
& ~ p1(X102)
& ~ p2(X102)
& ~ p3(X102)
& ~ p4(X102)
& r1(X101,X102) )
| ~ sP39(X101) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f48,plain,
! [X94] :
( ? [X95] :
( ? [X96] : r1(X95,X96)
& ~ p1(X95)
& ~ p2(X95)
& ~ p3(X95)
& ~ p4(X95)
& r1(X94,X95) )
| ~ sP40(X94) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f49,plain,
! [X93] :
( ? [X94] :
( sP40(X94)
& ~ p1(X94)
& ~ p2(X94)
& ~ p3(X94)
& ~ p4(X94)
& r1(X93,X94) )
| ~ sP41(X93) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f50,plain,
! [X92] :
( ? [X101] :
( sP39(X101)
& ~ p1(X101)
& ~ p2(X101)
& ~ p3(X101)
& ~ p4(X101)
& r1(X92,X101) )
| ~ sP42(X92) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f51,plain,
! [X92] :
( ! [X93] :
( ( sP41(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) )
| ~ sP43(X92) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f52,plain,
! [X0] :
( ? [X92] :
( sP43(X92)
& sP42(X92)
& ~ p1(X92)
& ~ p2(X92)
& r1(X0,X92) )
| ~ sP44(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f53,plain,
! [X86] :
( ? [X87] :
( ? [X88] : r1(X87,X88)
& ~ p1(X87)
& ~ p2(X87)
& ~ p3(X87)
& ~ p4(X87)
& r1(X86,X87) )
| ~ sP45(X86) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f54,plain,
! [X79] :
( ? [X80] :
( ? [X81] : r1(X80,X81)
& ~ p1(X80)
& ~ p2(X80)
& ~ p3(X80)
& ~ p4(X80)
& r1(X79,X80) )
| ~ sP46(X79) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f55,plain,
! [X78] :
( ? [X79] :
( sP46(X79)
& ~ p1(X79)
& ~ p2(X79)
& ~ p3(X79)
& ~ p4(X79)
& r1(X78,X79) )
| ~ sP47(X78) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f56,plain,
! [X77] :
( ? [X86] :
( sP45(X86)
& ~ p1(X86)
& ~ p2(X86)
& ~ p3(X86)
& ~ p4(X86)
& r1(X77,X86) )
| ~ sP48(X77) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f57,plain,
! [X77] :
( ! [X78] :
( ( sP47(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) )
| ~ sP49(X77) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f58,plain,
! [X67] :
( ? [X68] :
( ? [X69] : r1(X68,X69)
& ~ p1(X68)
& ~ p2(X68)
& ~ p3(X68)
& ~ p4(X68)
& r1(X67,X68) )
| ~ sP50(X67) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f59,plain,
! [X67] :
( ( sP50(X67)
& ~ p1(X67)
& ~ p2(X67)
& ~ p3(X67)
& ~ p4(X67) )
| ~ sP51(X67) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f60,plain,
! [X66] :
( ? [X73] :
( ? [X74] : r1(X73,X74)
& ~ p1(X73)
& ~ p2(X73)
& ~ p3(X73)
& ~ p4(X73)
& r1(X66,X73) )
| ~ sP52(X66) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f61,plain,
! [X0] :
( ? [X66] :
( ! [X67] :
( sP51(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) )
& sP52(X66)
& ~ p1(X66)
& ~ p2(X66)
& ~ p3(X66)
& ~ p4(X66)
& r1(X0,X66) )
| ~ sP53(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f62,plain,
! [X56] :
( ? [X57] :
( ? [X58] : r1(X57,X58)
& ~ p1(X57)
& ~ p2(X57)
& ~ p3(X57)
& ~ p4(X57)
& r1(X56,X57) )
| ~ sP54(X56) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f63,plain,
! [X55] :
( ? [X62] :
( ? [X63] : r1(X62,X63)
& ~ p1(X62)
& ~ p2(X62)
& ~ p3(X62)
& ~ p4(X62)
& r1(X55,X62) )
| ~ sP55(X55) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f64,plain,
! [X55] :
( ! [X56] :
( ( sP54(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) )
| ~ sP56(X55) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f65,plain,
! [X0] :
( ? [X55] :
( sP56(X55)
& sP55(X55)
& ~ p1(X55)
& ~ p2(X55)
& ~ p3(X55)
& r1(X0,X55) )
| ~ sP57(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f66,plain,
! [X45] :
( ? [X46] :
( ? [X47] : r1(X46,X47)
& ~ p1(X46)
& ~ p2(X46)
& ~ p3(X46)
& ~ p4(X46)
& r1(X45,X46) )
| ~ sP58(X45) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f67,plain,
! [X44] :
( ? [X51] :
( ? [X52] : r1(X51,X52)
& ~ p1(X51)
& ~ p2(X51)
& ~ p3(X51)
& ~ p4(X51)
& r1(X44,X51) )
| ~ sP59(X44) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f68,plain,
! [X44] :
( ! [X45] :
( ( sP58(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) )
| ~ sP60(X44) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f69,plain,
! [X0] :
( ? [X44] :
( sP60(X44)
& sP59(X44)
& ~ p1(X44)
& ~ p2(X44)
& r1(X0,X44) )
| ~ sP61(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f70,plain,
! [X34] :
( ? [X35] :
( ? [X36] : r1(X35,X36)
& ~ p1(X35)
& ~ p2(X35)
& ~ p3(X35)
& ~ p4(X35)
& r1(X34,X35) )
| ~ sP62(X34) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f71,plain,
! [X33] :
( ? [X40] :
( ? [X41] : r1(X40,X41)
& ~ p1(X40)
& ~ p2(X40)
& ~ p3(X40)
& ~ p4(X40)
& r1(X33,X40) )
| ~ sP63(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f72,plain,
! [X33] :
( ! [X34] :
( ( sP62(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) )
| ~ sP64(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f73,plain,
! [X27] :
( ( ? [X28] : r1(X27,X28)
& ~ p1(X27)
& ~ p2(X27)
& ~ p3(X27)
& ~ p4(X27) )
| ~ sP65(X27) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f74,plain,
! [X0] :
( ? [X26] :
( ! [X27] :
( sP65(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) )
| ~ sP66(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).
fof(f75,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) )
| ~ sP67(X19) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).
fof(f76,plain,
! [X0] :
( ? [X19] :
( sP67(X19)
& ? [X24] : r1(X19,X24)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(X0,X19) )
| ~ sP68(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).
fof(f77,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) )
| ~ sP69(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).
fof(f78,plain,
! [X0] :
( ? [X12] :
( sP69(X12)
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(X0,X12) )
| ~ sP70(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).
fof(f79,plain,
! [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ~ sP71(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).
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] :
( p3(X223)
& ? [X224] :
( ~ p3(X224)
& r1(X223,X224) )
& r1(X222,X223) )
| p3(X222)
| ~ r1(X0,X222) )
& ? [X225] :
( ~ p3(X225)
& r1(X0,X225) ) ),
inference(flattening,[],[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] :
( p3(X223)
& ? [X224] :
( ~ p3(X224)
& r1(X223,X224) )
& r1(X222,X223) )
| p3(X222)
| ~ r1(X0,X222) )
& ? [X225] :
( ~ p3(X225)
& r1(X0,X225) ) ),
inference(ennf_transformation,[],[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] :
( ~ p3(X223)
| ! [X224] :
( p3(X224)
| ~ r1(X223,X224) )
| ~ r1(X222,X223) )
| p3(X222)
| ~ r1(X0,X222) )
| ! [X225] :
( p3(X225)
| ~ r1(X0,X225) ) ),
inference(flattening,[],[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] : ~ 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] :
( ~ p3(X223)
| ! [X224] :
( p3(X224)
| ~ r1(X223,X224) )
| ~ r1(X222,X223) )
| p3(X222)
| ~ r1(X0,X222) )
| ! [X225] :
( p3(X225)
| ~ r1(X0,X225) ) ),
inference(true_and_false_elimination,[],[f3]) ).
fof(f3,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] :
( ~ p3(X223)
| ! [X224] :
( p3(X224)
| ~ r1(X223,X224) )
| ~ r1(X222,X223) )
| p3(X222)
| ~ r1(X0,X222) )
| ! [X225] :
( p3(X225)
| ~ r1(X0,X225) ) ),
inference(rectify,[],[f2]) ).
fof(f2,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] :
( ~ p3(X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,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] :
( ~ p3(X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f5230,plain,
( p2(sK175(sK170))
| ~ spl180_604 ),
inference(avatar_component_clause,[],[f5228]) ).
fof(f5228,plain,
( spl180_604
<=> p2(sK175(sK170)) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_604])]) ).
fof(f5231,plain,
( ~ spl180_38
| spl180_604
| spl180_137
| ~ spl180_242 ),
inference(avatar_split_clause,[],[f5226,f2237,f1605,f5228,f988]) ).
fof(f5226,plain,
( p2(sK175(sK170))
| ~ r1(sK163,sK170)
| spl180_137
| ~ spl180_242 ),
inference(subsumption_resolution,[],[f2331,f1607]) ).
fof(f2331,plain,
( p2(sK175(sK170))
| p2(sK170)
| ~ r1(sK163,sK170)
| ~ spl180_242 ),
inference(resolution,[],[f2238,f774]) ).
fof(f774,plain,
! [X47] :
( r1(sK174(X47),sK175(X47))
| p2(X47)
| ~ r1(sK163,X47) ),
inference(cnf_transformation,[],[f394]) ).
fof(f2238,plain,
( ! [X0] :
( ~ r1(sK174(sK170),X0)
| p2(X0) )
| ~ spl180_242 ),
inference(avatar_component_clause,[],[f2237]) ).
fof(f5203,plain,
( ~ spl180_135
| spl180_163
| ~ spl180_491 ),
inference(avatar_contradiction_clause,[],[f5202]) ).
fof(f5202,plain,
( $false
| ~ spl180_135
| spl180_163
| ~ spl180_491 ),
inference(subsumption_resolution,[],[f5201,f1596]) ).
fof(f1596,plain,
( r1(sK163,sK145(sK163))
| ~ spl180_135 ),
inference(avatar_component_clause,[],[f1594]) ).
fof(f1594,plain,
( spl180_135
<=> r1(sK163,sK145(sK163)) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_135])]) ).
fof(f5201,plain,
( ~ r1(sK163,sK145(sK163))
| ~ spl180_135
| spl180_163
| ~ spl180_491 ),
inference(subsumption_resolution,[],[f5196,f1758]) ).
fof(f1758,plain,
( ~ p2(sK145(sK163))
| spl180_163 ),
inference(avatar_component_clause,[],[f1757]) ).
fof(f1757,plain,
( spl180_163
<=> p2(sK145(sK163)) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_163])]) ).
fof(f5196,plain,
( p2(sK145(sK163))
| ~ r1(sK163,sK145(sK163))
| ~ spl180_135
| spl180_163
| ~ spl180_491 ),
inference(resolution,[],[f5150,f775]) ).
fof(f5150,plain,
( p2(sK175(sK145(sK163)))
| ~ spl180_135
| spl180_163
| ~ spl180_491 ),
inference(subsumption_resolution,[],[f5149,f1596]) ).
fof(f5149,plain,
( p2(sK175(sK145(sK163)))
| ~ r1(sK163,sK145(sK163))
| spl180_163
| ~ spl180_491 ),
inference(subsumption_resolution,[],[f5121,f1758]) ).
fof(f5121,plain,
( p2(sK175(sK145(sK163)))
| p2(sK145(sK163))
| ~ r1(sK163,sK145(sK163))
| ~ spl180_491 ),
inference(resolution,[],[f3971,f774]) ).
fof(f3971,plain,
( ! [X0] :
( ~ r1(sK174(sK145(sK163)),X0)
| p2(X0) )
| ~ spl180_491 ),
inference(avatar_component_clause,[],[f3970]) ).
fof(f3970,plain,
( spl180_491
<=> ! [X0] :
( p2(X0)
| ~ r1(sK174(sK145(sK163)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_491])]) ).
fof(f5116,plain,
( ~ spl180_136
| spl180_428
| ~ spl180_547
| ~ spl180_560 ),
inference(avatar_contradiction_clause,[],[f5115]) ).
fof(f5115,plain,
( $false
| ~ spl180_136
| spl180_428
| ~ spl180_547
| ~ spl180_560 ),
inference(subsumption_resolution,[],[f5110,f771]) ).
fof(f771,plain,
r1(sK163,sK176),
inference(cnf_transformation,[],[f394]) ).
fof(f5110,plain,
( ~ r1(sK163,sK176)
| ~ spl180_136
| spl180_428
| ~ spl180_547
| ~ spl180_560 ),
inference(resolution,[],[f4979,f4632]) ).
fof(f4632,plain,
( r1(sK176,sK164(sK176))
| ~ spl180_547 ),
inference(avatar_component_clause,[],[f4631]) ).
fof(f4631,plain,
( spl180_547
<=> r1(sK176,sK164(sK176)) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_547])]) ).
fof(f4979,plain,
( ! [X0] :
( ~ r1(X0,sK164(sK176))
| ~ r1(sK163,X0) )
| ~ spl180_136
| spl180_428
| ~ spl180_560 ),
inference(resolution,[],[f4805,f1600]) ).
fof(f1600,plain,
( sP0(sK163)
| ~ spl180_136 ),
inference(avatar_component_clause,[],[f1598]) ).
fof(f1598,plain,
( spl180_136
<=> sP0(sK163) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_136])]) ).
fof(f4805,plain,
( ! [X0,X1] :
( ~ sP0(X1)
| ~ r1(X1,X0)
| ~ r1(X0,sK164(sK176)) )
| spl180_428
| ~ spl180_560 ),
inference(subsumption_resolution,[],[f4800,f3582]) ).
fof(f3582,plain,
( ~ p2(sK164(sK176))
| spl180_428 ),
inference(avatar_component_clause,[],[f3581]) ).
fof(f3581,plain,
( spl180_428
<=> p2(sK164(sK176)) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_428])]) ).
fof(f4800,plain,
( ! [X0,X1] :
( p2(sK164(sK176))
| ~ r1(X0,sK164(sK176))
| ~ r1(X1,X0)
| ~ sP0(X1) )
| ~ spl180_560 ),
inference(resolution,[],[f4752,f763]) ).
fof(f763,plain,
! [X2,X0,X1] :
( ~ p2(sK162(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f375]) ).
fof(f375,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( p2(sK161(X2))
& ~ p2(sK162(X2))
& r1(sK161(X2),sK162(X2))
& r1(X2,sK161(X2)) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK161,sK162])],[f372,f374,f373]) ).
fof(f373,plain,
! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& r1(X2,X3) )
=> ( p2(sK161(X2))
& ? [X4] :
( ~ p2(X4)
& r1(sK161(X2),X4) )
& r1(X2,sK161(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f374,plain,
! [X2] :
( ? [X4] :
( ~ p2(X4)
& r1(sK161(X2),X4) )
=> ( ~ p2(sK162(X2))
& r1(sK161(X2),sK162(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f372,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(rectify,[],[f371]) ).
fof(f371,plain,
! [X0] :
( ! [X210] :
( ! [X211] :
( ? [X212] :
( p2(X212)
& ? [X213] :
( ~ p2(X213)
& r1(X212,X213) )
& r1(X211,X212) )
| p2(X211)
| ~ r1(X210,X211) )
| ~ r1(X0,X210) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f8]) ).
fof(f4752,plain,
( p2(sK162(sK164(sK176)))
| ~ spl180_560 ),
inference(avatar_component_clause,[],[f4750]) ).
fof(f4750,plain,
( spl180_560
<=> p2(sK162(sK164(sK176))) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_560])]) ).
fof(f4799,plain,
( spl180_560
| ~ spl180_136
| spl180_428
| ~ spl180_505
| ~ spl180_547 ),
inference(avatar_split_clause,[],[f4747,f4631,f4302,f3581,f1598,f4750]) ).
fof(f4302,plain,
( spl180_505
<=> ! [X0] :
( p2(X0)
| ~ r1(sK161(sK164(sK176)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_505])]) ).
fof(f4747,plain,
( p2(sK162(sK164(sK176)))
| ~ spl180_136
| spl180_428
| ~ spl180_505
| ~ spl180_547 ),
inference(subsumption_resolution,[],[f4746,f4632]) ).
fof(f4746,plain,
( p2(sK162(sK164(sK176)))
| ~ r1(sK176,sK164(sK176))
| ~ spl180_136
| spl180_428
| ~ spl180_505 ),
inference(subsumption_resolution,[],[f4714,f3582]) ).
fof(f4714,plain,
( p2(sK162(sK164(sK176)))
| p2(sK164(sK176))
| ~ r1(sK176,sK164(sK176))
| ~ spl180_136
| ~ spl180_505 ),
inference(resolution,[],[f4303,f4086]) ).
fof(f4086,plain,
( ! [X0] :
( r1(sK161(X0),sK162(X0))
| p2(X0)
| ~ r1(sK176,X0) )
| ~ spl180_136 ),
inference(resolution,[],[f4022,f771]) ).
fof(f4022,plain,
( ! [X0,X1] :
( ~ r1(sK163,X1)
| ~ r1(X1,X0)
| p2(X0)
| r1(sK161(X0),sK162(X0)) )
| ~ spl180_136 ),
inference(resolution,[],[f1600,f762]) ).
fof(f762,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| r1(sK161(X2),sK162(X2)) ),
inference(cnf_transformation,[],[f375]) ).
fof(f4303,plain,
( ! [X0] :
( ~ r1(sK161(sK164(sK176)),X0)
| p2(X0) )
| ~ spl180_505 ),
inference(avatar_component_clause,[],[f4302]) ).
fof(f4689,plain,
~ spl180_428,
inference(avatar_contradiction_clause,[],[f4688]) ).
fof(f4688,plain,
( $false
| ~ spl180_428 ),
inference(subsumption_resolution,[],[f4687,f771]) ).
fof(f4687,plain,
( ~ r1(sK163,sK176)
| ~ spl180_428 ),
inference(subsumption_resolution,[],[f4682,f772]) ).
fof(f772,plain,
~ p2(sK176),
inference(cnf_transformation,[],[f394]) ).
fof(f4682,plain,
( p2(sK176)
| ~ r1(sK163,sK176)
| ~ spl180_428 ),
inference(resolution,[],[f3583,f813]) ).
fof(f813,plain,
! [X1] :
( ~ p2(sK164(X1))
| p2(X1)
| ~ r1(sK163,X1) ),
inference(cnf_transformation,[],[f394]) ).
fof(f3583,plain,
( p2(sK164(sK176))
| ~ spl180_428 ),
inference(avatar_component_clause,[],[f3581]) ).
fof(f4681,plain,
spl180_547,
inference(avatar_contradiction_clause,[],[f4680]) ).
fof(f4680,plain,
( $false
| spl180_547 ),
inference(subsumption_resolution,[],[f4679,f771]) ).
fof(f4679,plain,
( ~ r1(sK163,sK176)
| spl180_547 ),
inference(subsumption_resolution,[],[f4678,f772]) ).
fof(f4678,plain,
( p2(sK176)
| ~ r1(sK163,sK176)
| spl180_547 ),
inference(resolution,[],[f4633,f812]) ).
fof(f812,plain,
! [X1] :
( r1(X1,sK164(X1))
| p2(X1)
| ~ r1(sK163,X1) ),
inference(cnf_transformation,[],[f394]) ).
fof(f4633,plain,
( ~ r1(sK176,sK164(sK176))
| spl180_547 ),
inference(avatar_component_clause,[],[f4631]) ).
fof(f4634,plain,
( ~ spl180_547
| spl180_428
| ~ spl180_136
| ~ spl180_504 ),
inference(avatar_split_clause,[],[f4629,f4299,f1598,f3581,f4631]) ).
fof(f4299,plain,
( spl180_504
<=> ! [X1] :
( ~ r1(sK164(X1),sK161(sK164(sK176)))
| ~ r1(sK163,X1)
| p2(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_504])]) ).
fof(f4629,plain,
( p2(sK164(sK176))
| ~ r1(sK176,sK164(sK176))
| ~ spl180_136
| ~ spl180_504 ),
inference(subsumption_resolution,[],[f4628,f772]) ).
fof(f4628,plain,
( p2(sK176)
| p2(sK164(sK176))
| ~ r1(sK176,sK164(sK176))
| ~ spl180_136
| ~ spl180_504 ),
inference(subsumption_resolution,[],[f4619,f771]) ).
fof(f4619,plain,
( ~ r1(sK163,sK176)
| p2(sK176)
| p2(sK164(sK176))
| ~ r1(sK176,sK164(sK176))
| ~ spl180_136
| ~ spl180_504 ),
inference(resolution,[],[f4300,f4056]) ).
fof(f4056,plain,
( ! [X0] :
( r1(X0,sK161(X0))
| p2(X0)
| ~ r1(sK176,X0) )
| ~ spl180_136 ),
inference(resolution,[],[f4023,f771]) ).
fof(f4023,plain,
( ! [X0,X1] :
( ~ r1(sK163,X1)
| ~ r1(X1,X0)
| p2(X0)
| r1(X0,sK161(X0)) )
| ~ spl180_136 ),
inference(resolution,[],[f1600,f761]) ).
fof(f761,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| r1(X2,sK161(X2)) ),
inference(cnf_transformation,[],[f375]) ).
fof(f4300,plain,
( ! [X1] :
( ~ r1(sK164(X1),sK161(sK164(sK176)))
| ~ r1(sK163,X1)
| p2(X1) )
| ~ spl180_504 ),
inference(avatar_component_clause,[],[f4299]) ).
fof(f4304,plain,
( spl180_504
| spl180_505
| ~ spl180_427 ),
inference(avatar_split_clause,[],[f4294,f3577,f4302,f4299]) ).
fof(f3577,plain,
( spl180_427
<=> p2(sK161(sK164(sK176))) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_427])]) ).
fof(f4294,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK161(sK164(sK176)),X0)
| ~ r1(sK164(X1),sK161(sK164(sK176)))
| p2(X1)
| ~ r1(sK163,X1) )
| ~ spl180_427 ),
inference(resolution,[],[f3579,f814]) ).
fof(f814,plain,
! [X3,X1,X4] :
( ~ p2(X3)
| p2(X4)
| ~ r1(X3,X4)
| ~ r1(sK164(X1),X3)
| p2(X1)
| ~ r1(sK163,X1) ),
inference(cnf_transformation,[],[f394]) ).
fof(f3579,plain,
( p2(sK161(sK164(sK176)))
| ~ spl180_427 ),
inference(avatar_component_clause,[],[f3577]) ).
fof(f4171,plain,
( spl180_427
| spl180_428
| ~ spl180_136 ),
inference(avatar_split_clause,[],[f4170,f1598,f3581,f3577]) ).
fof(f4170,plain,
( p2(sK164(sK176))
| p2(sK161(sK164(sK176)))
| ~ spl180_136 ),
inference(subsumption_resolution,[],[f4169,f771]) ).
fof(f4169,plain,
( p2(sK164(sK176))
| p2(sK161(sK164(sK176)))
| ~ r1(sK163,sK176)
| ~ spl180_136 ),
inference(subsumption_resolution,[],[f4165,f772]) ).
fof(f4165,plain,
( p2(sK164(sK176))
| p2(sK161(sK164(sK176)))
| p2(sK176)
| ~ r1(sK163,sK176)
| ~ spl180_136 ),
inference(resolution,[],[f4026,f812]) ).
fof(f4026,plain,
( ! [X0] :
( ~ r1(sK176,X0)
| p2(X0)
| p2(sK161(X0)) )
| ~ spl180_136 ),
inference(resolution,[],[f4024,f771]) ).
fof(f4024,plain,
( ! [X0,X1] :
( ~ r1(sK163,X1)
| ~ r1(X1,X0)
| p2(X0)
| p2(sK161(X0)) )
| ~ spl180_136 ),
inference(resolution,[],[f1600,f764]) ).
fof(f764,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| p2(sK161(X2)) ),
inference(cnf_transformation,[],[f375]) ).
fof(f4021,plain,
( ~ spl180_135
| spl180_163
| spl180_494 ),
inference(avatar_split_clause,[],[f3988,f3984,f1757,f1594]) ).
fof(f3984,plain,
( spl180_494
<=> r1(sK145(sK163),sK174(sK145(sK163))) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_494])]) ).
fof(f3988,plain,
( p2(sK145(sK163))
| ~ r1(sK163,sK145(sK163))
| spl180_494 ),
inference(resolution,[],[f3986,f773]) ).
fof(f773,plain,
! [X47] :
( r1(X47,sK174(X47))
| p2(X47)
| ~ r1(sK163,X47) ),
inference(cnf_transformation,[],[f394]) ).
fof(f3986,plain,
( ~ r1(sK145(sK163),sK174(sK145(sK163)))
| spl180_494 ),
inference(avatar_component_clause,[],[f3984]) ).
fof(f3998,plain,
( ~ spl180_35
| spl180_136
| ~ spl180_163 ),
inference(avatar_contradiction_clause,[],[f3997]) ).
fof(f3997,plain,
( $false
| ~ spl180_35
| spl180_136
| ~ spl180_163 ),
inference(subsumption_resolution,[],[f3996,f976]) ).
fof(f976,plain,
( sP11(sK163)
| ~ spl180_35 ),
inference(avatar_component_clause,[],[f974]) ).
fof(f974,plain,
( spl180_35
<=> sP11(sK163) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_35])]) ).
fof(f3996,plain,
( ~ sP11(sK163)
| spl180_136
| ~ spl180_163 ),
inference(subsumption_resolution,[],[f3991,f1599]) ).
fof(f1599,plain,
( ~ sP0(sK163)
| spl180_136 ),
inference(avatar_component_clause,[],[f1598]) ).
fof(f3991,plain,
( sP0(sK163)
| ~ sP11(sK163)
| ~ spl180_163 ),
inference(resolution,[],[f1759,f718]) ).
fof(f718,plain,
! [X0] :
( ~ p2(sK145(X0))
| sP0(X0)
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f327]) ).
fof(f327,plain,
! [X0] :
( ( sP1(X0)
& ( ( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ r1(sK145(X0),X2) )
& ~ p2(sK145(X0))
& r1(X0,sK145(X0)) )
| sP0(X0) ) )
| ~ sP11(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK145])],[f325,f326]) ).
fof(f326,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(sK145(X0),X2) )
& ~ p2(sK145(X0))
& r1(X0,sK145(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f325,plain,
! [X0] :
( ( sP1(X0)
& ( ? [X1] :
( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p2(X1)
& r1(X0,X1) )
| sP0(X0) ) )
| ~ sP11(X0) ),
inference(rectify,[],[f324]) ).
fof(f324,plain,
! [X0] :
( ( sP1(X0)
& ( ? [X207] :
( ! [X208] :
( ~ p2(X208)
| ! [X209] :
( p2(X209)
| ~ r1(X208,X209) )
| ~ r1(X207,X208) )
& ~ p2(X207)
& r1(X0,X207) )
| sP0(X0) ) )
| ~ sP11(X0) ),
inference(nnf_transformation,[],[f19]) ).
fof(f1759,plain,
( p2(sK145(sK163))
| ~ spl180_163 ),
inference(avatar_component_clause,[],[f1757]) ).
fof(f3987,plain,
( ~ spl180_494
| spl180_491
| ~ spl180_162
| ~ spl180_481 ),
inference(avatar_split_clause,[],[f3965,f3875,f1753,f3970,f3984]) ).
fof(f1753,plain,
( spl180_162
<=> p2(sK174(sK145(sK163))) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_162])]) ).
fof(f3875,plain,
( spl180_481
<=> ! [X0,X1] :
( p2(X0)
| ~ p2(X1)
| ~ r1(sK145(sK163),X1)
| ~ r1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl180_481])]) ).
fof(f3965,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK145(sK163),sK174(sK145(sK163)))
| ~ r1(sK174(sK145(sK163)),X0) )
| ~ spl180_162
| ~ spl180_481 ),
inference(resolution,[],[f1755,f3876]) ).
fof(f3876,plain,
( ! [X0,X1] :
( ~ p2(X1)
| p2(X0)
| ~ r1(sK145(sK163),X1)
| ~ r1(X1,X0) )
| ~ spl180_481 ),
inference(avatar_component_clause,[],[f3875]) ).
fof(f1755,plain,
( p2(sK174(sK145(sK163)))
| ~ spl180_162 ),
inference(avatar_component_clause,[],[f1753]) ).
fof(f3883,plain,
( spl180_162
| spl180_163
| ~ spl180_135 ),
inference(avatar_split_clause,[],[f3879,f1594,f1757,f1753]) ).
fof(f3879,plain,
( p2(sK145(sK163))
| p2(sK174(sK145(sK163)))
| ~ spl180_135 ),
inference(resolution,[],[f1596,f776]) ).
fof(f776,plain,
! [X47] :
( ~ r1(sK163,X47)
| p2(X47)
| p2(sK174(X47)) ),
inference(cnf_transformation,[],[f394]) ).
fof(f3877,plain,
( spl180_136
| spl180_481
| ~ spl180_35 ),
inference(avatar_split_clause,[],[f2264,f974,f3875,f1598]) ).
fof(f2264,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(X1,X0)
| ~ r1(sK145(sK163),X1)
| sP0(sK163)
| ~ p2(X1) )
| ~ spl180_35 ),
inference(resolution,[],[f719,f976]) ).
fof(f719,plain,
! [X2,X3,X0] :
( ~ sP11(X0)
| p2(X3)
| ~ r1(X2,X3)
| ~ r1(sK145(X0),X2)
| sP0(X0)
| ~ p2(X2) ),
inference(cnf_transformation,[],[f327]) ).
fof(f3873,plain,
( spl180_135
| spl180_136
| ~ spl180_35 ),
inference(avatar_split_clause,[],[f2136,f974,f1598,f1594]) ).
fof(f2136,plain,
( sP0(sK163)
| r1(sK163,sK145(sK163))
| ~ spl180_35 ),
inference(resolution,[],[f976,f717]) ).
fof(f717,plain,
! [X0] :
( ~ sP11(X0)
| sP0(X0)
| r1(X0,sK145(X0)) ),
inference(cnf_transformation,[],[f327]) ).
fof(f2121,plain,
( ~ spl180_38
| spl180_137
| spl180_219 ),
inference(avatar_split_clause,[],[f2118,f2070,f1605,f988]) ).
fof(f2118,plain,
( ~ r1(sK163,sK170)
| spl180_137
| spl180_219 ),
inference(subsumption_resolution,[],[f2117,f1607]) ).
fof(f2117,plain,
( p2(sK170)
| ~ r1(sK163,sK170)
| spl180_219 ),
inference(resolution,[],[f2072,f773]) ).
fof(f2072,plain,
( ~ r1(sK170,sK174(sK170))
| spl180_219 ),
inference(avatar_component_clause,[],[f2070]) ).
fof(f2057,plain,
( spl180_142
| spl180_137
| ~ spl180_38 ),
inference(avatar_split_clause,[],[f1730,f988,f1605,f1631]) ).
fof(f1730,plain,
( p2(sK170)
| p2(sK174(sK170))
| ~ spl180_38 ),
inference(resolution,[],[f990,f776]) ).
fof(f1617,plain,
( ~ spl180_137
| spl180_139
| ~ spl180_37 ),
inference(avatar_split_clause,[],[f1603,f983,f1614,f1605]) ).
fof(f1603,plain,
( sP2(sK170)
| ~ p2(sK170)
| ~ spl180_37 ),
inference(resolution,[],[f985,f725]) ).
fof(f725,plain,
! [X0] :
( ~ sP9(X0)
| sP2(X0)
| ~ p2(X0) ),
inference(cnf_transformation,[],[f331]) ).
fof(f1612,plain,
( ~ spl180_137
| spl180_138
| ~ spl180_37 ),
inference(avatar_split_clause,[],[f1602,f983,f1609,f1605]) ).
fof(f1602,plain,
( sP3(sK170)
| ~ p2(sK170)
| ~ spl180_37 ),
inference(resolution,[],[f985,f726]) ).
fof(f726,plain,
! [X0] :
( ~ sP9(X0)
| sP3(X0)
| ~ p2(X0) ),
inference(cnf_transformation,[],[f331]) ).
fof(f991,plain,
( spl180_35
| spl180_38 ),
inference(avatar_split_clause,[],[f783,f988,f974]) ).
fof(f783,plain,
( r1(sK163,sK170)
| sP11(sK163) ),
inference(cnf_transformation,[],[f394]) ).
fof(f986,plain,
( spl180_35
| spl180_37 ),
inference(avatar_split_clause,[],[f784,f983,f974]) ).
fof(f784,plain,
( sP9(sK170)
| sP11(sK163) ),
inference(cnf_transformation,[],[f394]) ).
fof(f981,plain,
( spl180_35
| spl180_36 ),
inference(avatar_split_clause,[],[f785,f978,f974]) ).
fof(f785,plain,
( sP10(sK170)
| sP11(sK163) ),
inference(cnf_transformation,[],[f394]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : LCL642+1.015 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n022.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Apr 29 22:25:13 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.22/0.36 % (24712)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (24718)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.38 % (24716)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.38 % (24713)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.38 % (24714)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38 % (24715)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)
% 0.22/0.38 % (24717)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.38 % (24719)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)
% 0.22/0.40 TRYING [1]
% 0.22/0.40 TRYING [2]
% 0.22/0.40 TRYING [1]
% 0.22/0.40 TRYING [2]
% 0.22/0.41 TRYING [3]
% 0.22/0.42 TRYING [3]
% 0.22/0.42 TRYING [1]
% 0.22/0.42 TRYING [2]
% 0.22/0.44 TRYING [3]
% 0.22/0.44 TRYING [4]
% 0.22/0.45 TRYING [1]
% 0.22/0.45 TRYING [2]
% 0.22/0.46 TRYING [4]
% 0.22/0.47 TRYING [4]
% 0.22/0.48 TRYING [3]
% 0.22/0.49 % (24718)First to succeed.
% 0.22/0.49 TRYING [5]
% 0.22/0.50 % (24718)Refutation found. Thanks to Tanya!
% 0.22/0.50 % SZS status Theorem for theBenchmark
% 0.22/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.50 % (24718)------------------------------
% 0.22/0.50 % (24718)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.50 % (24718)Termination reason: Refutation
% 0.22/0.50
% 0.22/0.50 % (24718)Memory used [KB]: 4053
% 0.22/0.50 % (24718)Time elapsed: 0.117 s
% 0.22/0.50 % (24718)Instructions burned: 237 (million)
% 0.22/0.50 % (24718)------------------------------
% 0.22/0.50 % (24718)------------------------------
% 0.22/0.50 % (24712)Success in time 0.126 s
%------------------------------------------------------------------------------