TSTP Solution File: LCL642+1.010 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL642+1.010 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 17:48:56 EDT 2022
% Result : Theorem 3.05s 0.80s
% Output : Refutation 3.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 92
% Syntax : Number of formulae : 323 ( 5 unt; 0 def)
% Number of atoms : 5239 ( 0 equ)
% Maximal formula atoms : 410 ( 16 avg)
% Number of connectives : 7604 (2688 ~;3634 |;1213 &)
% ( 26 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 45 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 54 ( 53 usr; 27 prp; 0-2 aty)
% Number of functors : 43 ( 43 usr; 18 con; 0-1 aty)
% Number of variables : 1738 (1340 !; 398 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1525,plain,
$false,
inference(avatar_sat_refutation,[],[f382,f537,f626,f659,f679,f803,f826,f836,f876,f970,f984,f999,f1053,f1063,f1068,f1081,f1082,f1182,f1204,f1214,f1234,f1264,f1282,f1295,f1493,f1495,f1524]) ).
fof(f1524,plain,
( ~ spl91_35
| ~ spl91_93
| spl91_110
| ~ spl91_111 ),
inference(avatar_contradiction_clause,[],[f1523]) ).
fof(f1523,plain,
( $false
| ~ spl91_35
| ~ spl91_93
| spl91_110
| ~ spl91_111 ),
inference(subsumption_resolution,[],[f1522,f863]) ).
fof(f863,plain,
( sP10(sK48(sK84))
| ~ spl91_93 ),
inference(avatar_component_clause,[],[f861]) ).
fof(f861,plain,
( spl91_93
<=> sP10(sK48(sK84)) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_93])]) ).
fof(f1522,plain,
( ~ sP10(sK48(sK84))
| ~ spl91_35
| ~ spl91_93
| spl91_110
| ~ spl91_111 ),
inference(subsumption_resolution,[],[f1521,f533]) ).
fof(f533,plain,
( sP8(sK84)
| ~ spl91_35 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f531,plain,
( spl91_35
<=> sP8(sK84) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_35])]) ).
fof(f1521,plain,
( ~ sP8(sK84)
| ~ sP10(sK48(sK84))
| ~ spl91_35
| ~ spl91_93
| spl91_110
| ~ spl91_111 ),
inference(resolution,[],[f1520,f249]) ).
fof(f249,plain,
! [X0] :
( r1(sK48(X0),sK49(X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ( r1(X0,sK48(X0))
& r1(sK48(X0),sK49(X0))
& ! [X3] :
( ~ r1(sK49(X0),X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) )
& ~ p2(sK49(X0))
& ! [X5] :
( ( p2(sK50(X5))
& ~ p2(sK51(X5))
& r1(sK50(X5),sK51(X5))
& r1(X5,sK50(X5)) )
| p2(X5)
| ~ r1(X0,X5) ) )
| ~ sP8(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK48,sK49,sK50,sK51])],[f97,f101,f100,f99,f98]) ).
fof(f98,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ? [X2] :
( r1(X1,X2)
& ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) )
& ~ p2(X2) ) )
=> ( r1(X0,sK48(X0))
& ? [X2] :
( r1(sK48(X0),X2)
& ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) )
& ~ p2(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
! [X0] :
( ? [X2] :
( r1(sK48(X0),X2)
& ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) )
& ~ p2(X2) )
=> ( r1(sK48(X0),sK49(X0))
& ! [X3] :
( ~ r1(sK49(X0),X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) )
& ~ p2(sK49(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
! [X5] :
( ? [X6] :
( p2(X6)
& ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
& r1(X5,X6) )
=> ( p2(sK50(X5))
& ? [X7] :
( ~ p2(X7)
& r1(sK50(X5),X7) )
& r1(X5,sK50(X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
! [X5] :
( ? [X7] :
( ~ p2(X7)
& r1(sK50(X5),X7) )
=> ( ~ p2(sK51(X5))
& r1(sK50(X5),sK51(X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
! [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ? [X2] :
( r1(X1,X2)
& ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) )
& ~ p2(X2) ) )
& ! [X5] :
( ? [X6] :
( p2(X6)
& ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
& r1(X5,X6) )
| p2(X5)
| ~ r1(X0,X5) ) )
| ~ sP8(X0) ),
inference(rectify,[],[f96]) ).
fof(f96,plain,
! [X12] :
( ( ? [X15] :
( r1(X12,X15)
& ? [X16] :
( r1(X15,X16)
& ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| p2(X18) )
| ~ p2(X17) )
& ~ p2(X16) ) )
& ! [X19] :
( ? [X20] :
( p2(X20)
& ? [X21] :
( ~ p2(X21)
& r1(X20,X21) )
& r1(X19,X20) )
| p2(X19)
| ~ r1(X12,X19) ) )
| ~ sP8(X12) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X12] :
( ( ? [X15] :
( r1(X12,X15)
& ? [X16] :
( r1(X15,X16)
& ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| p2(X18) )
| ~ p2(X17) )
& ~ p2(X16) ) )
& ! [X19] :
( ? [X20] :
( p2(X20)
& ? [X21] :
( ~ p2(X21)
& r1(X20,X21) )
& r1(X19,X20) )
| p2(X19)
| ~ r1(X12,X19) ) )
| ~ sP8(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f1520,plain,
( ! [X0] :
( ~ r1(X0,sK49(sK84))
| ~ sP10(X0) )
| ~ spl91_35
| ~ spl91_93
| spl91_110
| ~ spl91_111 ),
inference(subsumption_resolution,[],[f1519,f964]) ).
fof(f964,plain,
( ~ p2(sK49(sK84))
| spl91_110 ),
inference(avatar_component_clause,[],[f963]) ).
fof(f963,plain,
( spl91_110
<=> p2(sK49(sK84)) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_110])]) ).
fof(f1519,plain,
( ! [X0] :
( ~ sP10(X0)
| p2(sK49(sK84))
| ~ r1(X0,sK49(sK84)) )
| ~ spl91_35
| ~ spl91_93
| spl91_110
| ~ spl91_111 ),
inference(resolution,[],[f1516,f233]) ).
fof(f233,plain,
! [X0,X5] :
( ~ p2(sK45(X5))
| p2(X5)
| ~ r1(X0,X5)
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ( ! [X3] :
( ~ r1(sK43(X0),X3)
| ~ p2(X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) ) )
& ~ p2(sK43(X0))
& r1(sK42(X0),sK43(X0))
& r1(X0,sK42(X0))
& ! [X5] :
( p2(X5)
| ~ r1(X0,X5)
| ( r1(sK44(X5),sK45(X5))
& ~ p2(sK45(X5))
& r1(X5,sK44(X5))
& p2(sK44(X5)) ) ) )
| ~ sP10(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK42,sK43,sK44,sK45])],[f85,f89,f88,f87,f86]) ).
fof(f86,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| ~ p2(X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) ) )
& ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
=> ( ? [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| ~ p2(X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) ) )
& ~ p2(X2)
& r1(sK42(X0),X2) )
& r1(X0,sK42(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
! [X0] :
( ? [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| ~ p2(X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) ) )
& ~ p2(X2)
& r1(sK42(X0),X2) )
=> ( ! [X3] :
( ~ r1(sK43(X0),X3)
| ~ p2(X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) ) )
& ~ p2(sK43(X0))
& r1(sK42(X0),sK43(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X5] :
( ? [X6] :
( ? [X7] :
( r1(X6,X7)
& ~ p2(X7) )
& r1(X5,X6)
& p2(X6) )
=> ( ? [X7] :
( r1(sK44(X5),X7)
& ~ p2(X7) )
& r1(X5,sK44(X5))
& p2(sK44(X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X5] :
( ? [X7] :
( r1(sK44(X5),X7)
& ~ p2(X7) )
=> ( r1(sK44(X5),sK45(X5))
& ~ p2(sK45(X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
! [X0] :
( ( ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| ~ p2(X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) ) )
& ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
& ! [X5] :
( p2(X5)
| ~ r1(X0,X5)
| ? [X6] :
( ? [X7] :
( r1(X6,X7)
& ~ p2(X7) )
& r1(X5,X6)
& p2(X6) ) ) )
| ~ sP10(X0) ),
inference(rectify,[],[f84]) ).
fof(f84,plain,
! [X22] :
( ( ? [X23] :
( ? [X24] :
( ! [X25] :
( ~ r1(X24,X25)
| ~ p2(X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) ) )
& ~ p2(X24)
& r1(X23,X24) )
& r1(X22,X23) )
& ! [X27] :
( p2(X27)
| ~ r1(X22,X27)
| ? [X28] :
( ? [X29] :
( r1(X28,X29)
& ~ p2(X29) )
& r1(X27,X28)
& p2(X28) ) ) )
| ~ sP10(X22) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X22] :
( ( ? [X23] :
( ? [X24] :
( ! [X25] :
( ~ r1(X24,X25)
| ~ p2(X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) ) )
& ~ p2(X24)
& r1(X23,X24) )
& r1(X22,X23) )
& ! [X27] :
( p2(X27)
| ~ r1(X22,X27)
| ? [X28] :
( ? [X29] :
( r1(X28,X29)
& ~ p2(X29) )
& r1(X27,X28)
& p2(X28) ) ) )
| ~ sP10(X22) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f1516,plain,
( p2(sK45(sK49(sK84)))
| ~ spl91_35
| ~ spl91_93
| spl91_110
| ~ spl91_111 ),
inference(resolution,[],[f1510,f1515]) ).
fof(f1515,plain,
( r1(sK44(sK49(sK84)),sK45(sK49(sK84)))
| ~ spl91_35
| ~ spl91_93
| spl91_110 ),
inference(subsumption_resolution,[],[f1514,f533]) ).
fof(f1514,plain,
( ~ sP8(sK84)
| r1(sK44(sK49(sK84)),sK45(sK49(sK84)))
| ~ spl91_93
| spl91_110 ),
inference(subsumption_resolution,[],[f1511,f964]) ).
fof(f1511,plain,
( p2(sK49(sK84))
| r1(sK44(sK49(sK84)),sK45(sK49(sK84)))
| ~ sP8(sK84)
| ~ spl91_93 ),
inference(resolution,[],[f1497,f249]) ).
fof(f1497,plain,
( ! [X2] :
( ~ r1(sK48(sK84),X2)
| r1(sK44(X2),sK45(X2))
| p2(X2) )
| ~ spl91_93 ),
inference(resolution,[],[f863,f234]) ).
fof(f234,plain,
! [X0,X5] :
( ~ sP10(X0)
| ~ r1(X0,X5)
| r1(sK44(X5),sK45(X5))
| p2(X5) ),
inference(cnf_transformation,[],[f90]) ).
fof(f1510,plain,
( ! [X0] :
( ~ r1(sK44(sK49(sK84)),X0)
| p2(X0) )
| ~ spl91_35
| ~ spl91_93
| spl91_110
| ~ spl91_111 ),
inference(subsumption_resolution,[],[f1509,f969]) ).
fof(f969,plain,
( p2(sK44(sK49(sK84)))
| ~ spl91_111 ),
inference(avatar_component_clause,[],[f967]) ).
fof(f967,plain,
( spl91_111
<=> p2(sK44(sK49(sK84))) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_111])]) ).
fof(f1509,plain,
( ! [X0] :
( ~ r1(sK44(sK49(sK84)),X0)
| ~ p2(sK44(sK49(sK84)))
| p2(X0) )
| ~ spl91_35
| ~ spl91_93
| spl91_110 ),
inference(resolution,[],[f1508,f1283]) ).
fof(f1283,plain,
( ! [X0,X1] :
( ~ r1(sK49(sK84),X0)
| p2(X1)
| ~ p2(X0)
| ~ r1(X0,X1) )
| ~ spl91_35 ),
inference(resolution,[],[f533,f248]) ).
fof(f248,plain,
! [X3,X0,X4] :
( ~ sP8(X0)
| ~ p2(X3)
| ~ r1(X3,X4)
| ~ r1(sK49(X0),X3)
| p2(X4) ),
inference(cnf_transformation,[],[f102]) ).
fof(f1508,plain,
( r1(sK49(sK84),sK44(sK49(sK84)))
| ~ spl91_35
| ~ spl91_93
| spl91_110 ),
inference(subsumption_resolution,[],[f1507,f533]) ).
fof(f1507,plain,
( ~ sP8(sK84)
| r1(sK49(sK84),sK44(sK49(sK84)))
| ~ spl91_93
| spl91_110 ),
inference(subsumption_resolution,[],[f1504,f964]) ).
fof(f1504,plain,
( p2(sK49(sK84))
| r1(sK49(sK84),sK44(sK49(sK84)))
| ~ sP8(sK84)
| ~ spl91_93 ),
inference(resolution,[],[f1498,f249]) ).
fof(f1498,plain,
( ! [X3] :
( ~ r1(sK48(sK84),X3)
| r1(X3,sK44(X3))
| p2(X3) )
| ~ spl91_93 ),
inference(resolution,[],[f863,f232]) ).
fof(f232,plain,
! [X0,X5] :
( ~ sP10(X0)
| p2(X5)
| r1(X5,sK44(X5))
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f90]) ).
fof(f1495,plain,
( spl91_93
| spl91_95
| ~ spl91_2
| ~ spl91_35
| spl91_94 ),
inference(avatar_split_clause,[],[f1494,f865,f531,f380,f869,f861]) ).
fof(f869,plain,
( spl91_95
<=> ! [X0,X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ p2(X0)
| ~ r1(sK48(sK84),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_95])]) ).
fof(f380,plain,
( spl91_2
<=> ! [X41,X43,X42] :
( ~ r1(X42,X43)
| sP11(X41)
| ~ p2(X42)
| sP10(X41)
| ~ r1(X41,X42)
| ~ r1(sK84,X41)
| p2(X43) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_2])]) ).
fof(f865,plain,
( spl91_94
<=> sP11(sK48(sK84)) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_94])]) ).
fof(f1494,plain,
( ! [X0,X1] :
( ~ p2(X0)
| sP10(sK48(sK84))
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK48(sK84),X0) )
| ~ spl91_2
| ~ spl91_35
| spl91_94 ),
inference(subsumption_resolution,[],[f1296,f866]) ).
fof(f866,plain,
( ~ sP11(sK48(sK84))
| spl91_94 ),
inference(avatar_component_clause,[],[f865]) ).
fof(f1296,plain,
( ! [X0,X1] :
( sP10(sK48(sK84))
| ~ p2(X0)
| sP11(sK48(sK84))
| ~ r1(sK48(sK84),X0)
| p2(X1)
| ~ r1(X0,X1) )
| ~ spl91_2
| ~ spl91_35 ),
inference(resolution,[],[f1287,f381]) ).
fof(f381,plain,
( ! [X41,X42,X43] :
( ~ r1(sK84,X41)
| ~ r1(X41,X42)
| sP10(X41)
| p2(X43)
| ~ r1(X42,X43)
| ~ p2(X42)
| sP11(X41) )
| ~ spl91_2 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f1287,plain,
( r1(sK84,sK48(sK84))
| ~ spl91_35 ),
inference(resolution,[],[f533,f250]) ).
fof(f250,plain,
! [X0] :
( ~ sP8(X0)
| r1(X0,sK48(X0)) ),
inference(cnf_transformation,[],[f102]) ).
fof(f1493,plain,
( ~ spl91_35
| ~ spl91_94
| spl91_110
| ~ spl91_112 ),
inference(avatar_contradiction_clause,[],[f1492]) ).
fof(f1492,plain,
( $false
| ~ spl91_35
| ~ spl91_94
| spl91_110
| ~ spl91_112 ),
inference(subsumption_resolution,[],[f1491,f533]) ).
fof(f1491,plain,
( ~ sP8(sK84)
| ~ spl91_35
| ~ spl91_94
| spl91_110
| ~ spl91_112 ),
inference(resolution,[],[f1490,f249]) ).
fof(f1490,plain,
( ~ r1(sK48(sK84),sK49(sK84))
| ~ spl91_35
| ~ spl91_94
| spl91_110
| ~ spl91_112 ),
inference(resolution,[],[f1489,f867]) ).
fof(f867,plain,
( sP11(sK48(sK84))
| ~ spl91_94 ),
inference(avatar_component_clause,[],[f865]) ).
fof(f1489,plain,
( ! [X0] :
( ~ sP11(X0)
| ~ r1(X0,sK49(sK84)) )
| ~ spl91_35
| ~ spl91_94
| spl91_110
| ~ spl91_112 ),
inference(subsumption_resolution,[],[f1488,f964]) ).
fof(f1488,plain,
( ! [X0] :
( p2(sK49(sK84))
| ~ r1(X0,sK49(sK84))
| ~ sP11(X0) )
| ~ spl91_35
| ~ spl91_94
| spl91_110
| ~ spl91_112 ),
inference(resolution,[],[f1487,f230]) ).
fof(f230,plain,
! [X0,X1] :
( ~ p2(sK40(X1))
| ~ r1(X0,X1)
| ~ sP11(X0)
| p2(X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ( p2(X1)
| ( ~ p2(sK40(X1))
& r1(sK39(X1),sK40(X1))
& p2(sK39(X1))
& r1(X1,sK39(X1)) ) )
& ( ( ! [X5] :
( ~ p2(X5)
| ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ r1(sK41(X1),X5) )
& ~ p2(sK41(X1))
& r1(X1,sK41(X1)) )
| sP9(X1) ) ) )
| ~ sP11(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK39,sK40,sK41])],[f79,f82,f81,f80]) ).
fof(f80,plain,
! [X1] :
( ? [X2] :
( ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& p2(X2)
& r1(X1,X2) )
=> ( ? [X3] :
( ~ p2(X3)
& r1(sK39(X1),X3) )
& p2(sK39(X1))
& r1(X1,sK39(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK39(X1),X3) )
=> ( ~ p2(sK40(X1))
& r1(sK39(X1),sK40(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
! [X1] :
( ? [X4] :
( ! [X5] :
( ~ p2(X5)
| ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
& ~ p2(X4)
& r1(X1,X4) )
=> ( ! [X5] :
( ~ p2(X5)
| ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ r1(sK41(X1),X5) )
& ~ p2(sK41(X1))
& r1(X1,sK41(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ( p2(X1)
| ? [X2] :
( ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& p2(X2)
& r1(X1,X2) ) )
& ( ? [X4] :
( ! [X5] :
( ~ p2(X5)
| ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
& ~ p2(X4)
& r1(X1,X4) )
| sP9(X1) ) ) )
| ~ sP11(X0) ),
inference(rectify,[],[f78]) ).
fof(f78,plain,
! [X22] :
( ! [X32] :
( ~ r1(X22,X32)
| ( ( p2(X32)
| ? [X40] :
( ? [X41] :
( ~ p2(X41)
& r1(X40,X41) )
& p2(X40)
& r1(X32,X40) ) )
& ( ? [X37] :
( ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
& ~ p2(X37)
& r1(X32,X37) )
| sP9(X32) ) ) )
| ~ sP11(X22) ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X22] :
( ! [X32] :
( ~ r1(X22,X32)
| ( ( p2(X32)
| ? [X40] :
( ? [X41] :
( ~ p2(X41)
& r1(X40,X41) )
& p2(X40)
& r1(X32,X40) ) )
& ( ? [X37] :
( ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
& ~ p2(X37)
& r1(X32,X37) )
| sP9(X32) ) ) )
| ~ sP11(X22) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f1487,plain,
( p2(sK40(sK49(sK84)))
| ~ spl91_35
| ~ spl91_94
| spl91_110
| ~ spl91_112 ),
inference(resolution,[],[f1433,f1472]) ).
fof(f1472,plain,
( r1(sK39(sK49(sK84)),sK40(sK49(sK84)))
| ~ spl91_35
| ~ spl91_94
| spl91_110 ),
inference(subsumption_resolution,[],[f1471,f533]) ).
fof(f1471,plain,
( r1(sK39(sK49(sK84)),sK40(sK49(sK84)))
| ~ sP8(sK84)
| ~ spl91_94
| spl91_110 ),
inference(subsumption_resolution,[],[f1469,f964]) ).
fof(f1469,plain,
( p2(sK49(sK84))
| r1(sK39(sK49(sK84)),sK40(sK49(sK84)))
| ~ sP8(sK84)
| ~ spl91_94 ),
inference(resolution,[],[f1289,f249]) ).
fof(f1289,plain,
( ! [X3] :
( ~ r1(sK48(sK84),X3)
| p2(X3)
| r1(sK39(X3),sK40(X3)) )
| ~ spl91_94 ),
inference(resolution,[],[f867,f229]) ).
fof(f229,plain,
! [X0,X1] :
( ~ sP11(X0)
| ~ r1(X0,X1)
| p2(X1)
| r1(sK39(X1),sK40(X1)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f1433,plain,
( ! [X0] :
( ~ r1(sK39(sK49(sK84)),X0)
| p2(X0) )
| ~ spl91_35
| ~ spl91_94
| spl91_110
| ~ spl91_112 ),
inference(subsumption_resolution,[],[f1432,f983]) ).
fof(f983,plain,
( p2(sK39(sK49(sK84)))
| ~ spl91_112 ),
inference(avatar_component_clause,[],[f981]) ).
fof(f981,plain,
( spl91_112
<=> p2(sK39(sK49(sK84))) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_112])]) ).
fof(f1432,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK39(sK49(sK84)),X0)
| ~ p2(sK39(sK49(sK84))) )
| ~ spl91_35
| ~ spl91_94
| spl91_110 ),
inference(resolution,[],[f1431,f1283]) ).
fof(f1431,plain,
( r1(sK49(sK84),sK39(sK49(sK84)))
| ~ spl91_35
| ~ spl91_94
| spl91_110 ),
inference(subsumption_resolution,[],[f1430,f533]) ).
fof(f1430,plain,
( r1(sK49(sK84),sK39(sK49(sK84)))
| ~ sP8(sK84)
| ~ spl91_94
| spl91_110 ),
inference(subsumption_resolution,[],[f1428,f964]) ).
fof(f1428,plain,
( r1(sK49(sK84),sK39(sK49(sK84)))
| p2(sK49(sK84))
| ~ sP8(sK84)
| ~ spl91_94 ),
inference(resolution,[],[f1290,f249]) ).
fof(f1290,plain,
( ! [X4] :
( ~ r1(sK48(sK84),X4)
| p2(X4)
| r1(X4,sK39(X4)) )
| ~ spl91_94 ),
inference(resolution,[],[f867,f227]) ).
fof(f227,plain,
! [X0,X1] :
( ~ sP11(X0)
| ~ r1(X0,X1)
| p2(X1)
| r1(X1,sK39(X1)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f1295,plain,
( ~ spl91_35
| ~ spl91_110 ),
inference(avatar_contradiction_clause,[],[f1294]) ).
fof(f1294,plain,
( $false
| ~ spl91_35
| ~ spl91_110 ),
inference(subsumption_resolution,[],[f1293,f533]) ).
fof(f1293,plain,
( ~ sP8(sK84)
| ~ spl91_110 ),
inference(resolution,[],[f965,f247]) ).
fof(f247,plain,
! [X0] :
( ~ p2(sK49(X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f965,plain,
( p2(sK49(sK84))
| ~ spl91_110 ),
inference(avatar_component_clause,[],[f963]) ).
fof(f1282,plain,
( ~ spl91_36
| spl91_54
| ~ spl91_65
| ~ spl91_81
| ~ spl91_86
| ~ spl91_88 ),
inference(avatar_contradiction_clause,[],[f1281]) ).
fof(f1281,plain,
( $false
| ~ spl91_36
| spl91_54
| ~ spl91_65
| ~ spl91_81
| ~ spl91_86
| ~ spl91_88 ),
inference(subsumption_resolution,[],[f1280,f678]) ).
fof(f678,plain,
( r1(sK64,sK84)
| ~ spl91_65 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f676,plain,
( spl91_65
<=> r1(sK64,sK84) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_65])]) ).
fof(f1280,plain,
( ~ r1(sK64,sK84)
| ~ spl91_36
| spl91_54
| ~ spl91_81
| ~ spl91_86
| ~ spl91_88 ),
inference(subsumption_resolution,[],[f1279,f625]) ).
fof(f625,plain,
( ~ p2(sK84)
| spl91_54 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f623,plain,
( spl91_54
<=> p2(sK84) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_54])]) ).
fof(f1279,plain,
( p2(sK84)
| ~ r1(sK64,sK84)
| ~ spl91_36
| ~ spl91_81
| ~ spl91_86
| ~ spl91_88 ),
inference(resolution,[],[f1278,f307]) ).
fof(f307,plain,
! [X53] :
( ~ p2(sK89(X53))
| ~ r1(sK64,X53)
| p2(X53) ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
( ( p1(sK64)
| p2(sK64)
| ( r1(sK65,sK66)
& ~ p1(sK65)
& ! [X3] :
( ( ~ p1(X3)
& ~ p2(X3)
& r1(X3,sK67(X3)) )
| ! [X5] :
( p1(X5)
| ! [X6] : ~ r1(X5,X6)
| ~ r1(X3,X5)
| p2(X5) )
| ~ r1(sK65,X3) )
& ~ p2(sK65)
& r1(sK64,sK65) )
| ! [X7] : ~ r1(sK64,X7) )
& ( p1(sK64)
| ! [X8] : ~ r1(sK64,X8)
| ( r1(sK68,sK69)
& r1(sK64,sK68)
& ! [X11] :
( ~ r1(sK68,X11)
| ! [X12] :
( ~ r1(X11,X12)
| p1(X12)
| ! [X13] : ~ r1(X12,X13) )
| ( r1(X11,sK70(X11))
& ~ p1(X11) ) )
& ~ p1(sK68) ) )
& ( p3(sK64)
| p2(sK64)
| ! [X15] : ~ r1(sK64,X15)
| ( r1(sK71,sK72)
& ~ p1(sK71)
& r1(sK64,sK71)
& ~ p3(sK71)
& sP21(sK71)
& ~ p2(sK71) )
| p1(sK64) )
& ! [X18] :
( p3(X18)
| ( r1(sK73(X18),sK74(X18))
& ~ p3(sK74(X18))
& p3(sK73(X18))
& r1(X18,sK73(X18)) )
| ~ r1(sK64,X18) )
& ( ( ~ p1(sK75)
& sP20(sK75)
& r1(sK64,sK75)
& sP19(sK75) )
| p1(sK64)
| ! [X22] :
( p1(X22)
| p3(X22)
| p2(X22)
| ! [X23] : ~ r1(X22,X23)
| ~ r1(sK64,X22)
| p4(X22) ) )
& ( ! [X24] :
( ~ r1(sK64,X24)
| p1(X24)
| p4(X24)
| p2(X24)
| p3(X24)
| ! [X25] :
( p4(X25)
| ! [X26] : ~ r1(X25,X26)
| p2(X25)
| p1(X25)
| ~ r1(X24,X25)
| p3(X25) ) )
| ( sP17(sK76)
& ~ p1(sK76)
& sP18(sK76)
& r1(sK64,sK76) )
| p1(sK64) )
& ! [X28] :
( ( ! [X30] :
( ! [X31] :
( p2(X31)
| ~ r1(X30,X31) )
| ~ p2(X30)
| ~ r1(sK77(X28),X30) )
& r1(X28,sK77(X28))
& ~ p2(sK77(X28)) )
| p2(X28)
| ~ r1(sK64,X28) )
& ~ p1(sK78)
& r1(sK64,sK78)
& ~ p2(sK79)
& r1(sK64,sK79)
& ! [X34] :
( ( r1(X34,sK80(X34))
& ~ p1(sK81(X34))
& r1(sK80(X34),sK81(X34))
& p1(sK80(X34)) )
| ~ r1(sK64,X34)
| p1(X34) )
& ( p2(sK64)
| ! [X37] : ~ r1(sK64,X37)
| p1(sK64)
| ( ~ p3(sK82)
& ~ p4(sK82)
& r1(sK64,sK82)
& sP14(sK82)
& r1(sK82,sK83)
& ~ p1(sK82)
& ~ p2(sK82) )
| p4(sK64)
| p3(sK64) )
& ( sP13(sK64)
| ( ! [X41] :
( sP10(X41)
| sP11(X41)
| ~ r1(sK84,X41)
| ( ~ p2(X41)
& ! [X42] :
( ~ p2(X42)
| ~ r1(X41,X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) ) ) ) )
& ( ( ! [X44] :
( ~ p2(X44)
| ~ r1(sK84,X44)
| ! [X45] :
( ~ r1(X44,X45)
| p2(X45) ) )
& ~ p2(sK84) )
| sP8(sK84) )
& r1(sK64,sK84) ) )
& ( ( ~ p3(sK85)
& r1(sK64,sK85)
& sP7(sK85)
& sP6(sK85)
& ~ p2(sK85)
& ~ p1(sK85) )
| p2(sK64)
| p1(sK64)
| ! [X47] :
( p2(X47)
| p1(X47)
| p4(X47)
| ! [X48] : ~ r1(X47,X48)
| p3(X47)
| ~ r1(sK64,X47) )
| p3(sK64) )
& ( ! [X49] :
( ! [X50] : ~ r1(X49,X50)
| p1(X49)
| p3(X49)
| p4(X49)
| ~ r1(sK64,X49)
| p2(X49) )
| ( ~ p2(sK86)
& r1(sK64,sK86)
& sP3(sK86)
& sP4(sK86)
& ~ p1(sK86) )
| p2(sK64)
| p1(sK64) )
& r1(sK64,sK87)
& ~ p3(sK87)
& ! [X53] :
( ( r1(X53,sK88(X53))
& ~ p2(sK89(X53))
& r1(sK88(X53),sK89(X53))
& p2(sK88(X53)) )
| p2(X53)
| ~ r1(sK64,X53) )
& ( p3(sK64)
| ! [X56] :
( p3(X56)
| p4(X56)
| ! [X57] : ~ r1(X56,X57)
| ~ r1(sK64,X56)
| p1(X56)
| p2(X56) )
| ( ~ p3(sK90)
& r1(sK64,sK90)
& sP1(sK90)
& ~ p2(sK90)
& ~ p4(sK90)
& sP2(sK90)
& ~ p1(sK90) )
| p1(sK64)
| p2(sK64)
| p4(sK64) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK64,sK65,sK66,sK67,sK68,sK69,sK70,sK71,sK72,sK73,sK74,sK75,sK76,sK77,sK78,sK79,sK80,sK81,sK82,sK83,sK84,sK85,sK86,sK87,sK88,sK89,sK90])],[f137,f164,f163,f162,f161,f160,f159,f158,f157,f156,f155,f154,f153,f152,f151,f150,f149,f148,f147,f146,f145,f144,f143,f142,f141,f140,f139,f138]) ).
fof(f138,plain,
( ? [X0] :
( ( p1(X0)
| p2(X0)
| ? [X1] :
( ? [X2] : r1(X1,X2)
& ~ p1(X1)
& ! [X3] :
( ( ~ p1(X3)
& ~ p2(X3)
& ? [X4] : r1(X3,X4) )
| ! [X5] :
( p1(X5)
| ! [X6] : ~ r1(X5,X6)
| ~ r1(X3,X5)
| p2(X5) )
| ~ r1(X1,X3) )
& ~ p2(X1)
& r1(X0,X1) )
| ! [X7] : ~ r1(X0,X7) )
& ( p1(X0)
| ! [X8] : ~ r1(X0,X8)
| ? [X9] :
( ? [X10] : r1(X9,X10)
& r1(X0,X9)
& ! [X11] :
( ~ r1(X9,X11)
| ! [X12] :
( ~ r1(X11,X12)
| p1(X12)
| ! [X13] : ~ r1(X12,X13) )
| ( ? [X14] : r1(X11,X14)
& ~ p1(X11) ) )
& ~ p1(X9) ) )
& ( p3(X0)
| p2(X0)
| ! [X15] : ~ r1(X0,X15)
| ? [X16] :
( ? [X17] : r1(X16,X17)
& ~ p1(X16)
& r1(X0,X16)
& ~ p3(X16)
& sP21(X16)
& ~ p2(X16) )
| p1(X0) )
& ! [X18] :
( p3(X18)
| ? [X19] :
( ? [X20] :
( r1(X19,X20)
& ~ p3(X20) )
& p3(X19)
& r1(X18,X19) )
| ~ r1(X0,X18) )
& ( ? [X21] :
( ~ p1(X21)
& sP20(X21)
& r1(X0,X21)
& sP19(X21) )
| p1(X0)
| ! [X22] :
( p1(X22)
| p3(X22)
| p2(X22)
| ! [X23] : ~ r1(X22,X23)
| ~ r1(X0,X22)
| p4(X22) ) )
& ( ! [X24] :
( ~ r1(X0,X24)
| p1(X24)
| p4(X24)
| p2(X24)
| p3(X24)
| ! [X25] :
( p4(X25)
| ! [X26] : ~ r1(X25,X26)
| p2(X25)
| p1(X25)
| ~ r1(X24,X25)
| p3(X25) ) )
| ? [X27] :
( sP17(X27)
& ~ p1(X27)
& sP18(X27)
& r1(X0,X27) )
| p1(X0) )
& ! [X28] :
( ? [X29] :
( ! [X30] :
( ! [X31] :
( p2(X31)
| ~ r1(X30,X31) )
| ~ p2(X30)
| ~ r1(X29,X30) )
& r1(X28,X29)
& ~ p2(X29) )
| p2(X28)
| ~ r1(X0,X28) )
& ? [X32] :
( ~ p1(X32)
& r1(X0,X32) )
& ? [X33] :
( ~ p2(X33)
& r1(X0,X33) )
& ! [X34] :
( ? [X35] :
( r1(X34,X35)
& ? [X36] :
( ~ p1(X36)
& r1(X35,X36) )
& p1(X35) )
| ~ r1(X0,X34)
| p1(X34) )
& ( p2(X0)
| ! [X37] : ~ r1(X0,X37)
| p1(X0)
| ? [X38] :
( ~ p3(X38)
& ~ p4(X38)
& r1(X0,X38)
& sP14(X38)
& ? [X39] : r1(X38,X39)
& ~ p1(X38)
& ~ p2(X38) )
| p4(X0)
| p3(X0) )
& ( sP13(X0)
| ? [X40] :
( ! [X41] :
( sP10(X41)
| sP11(X41)
| ~ r1(X40,X41)
| ( ~ p2(X41)
& ! [X42] :
( ~ p2(X42)
| ~ r1(X41,X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) ) ) ) )
& ( ( ! [X44] :
( ~ p2(X44)
| ~ r1(X40,X44)
| ! [X45] :
( ~ r1(X44,X45)
| p2(X45) ) )
& ~ p2(X40) )
| sP8(X40) )
& r1(X0,X40) ) )
& ( ? [X46] :
( ~ p3(X46)
& r1(X0,X46)
& sP7(X46)
& sP6(X46)
& ~ p2(X46)
& ~ p1(X46) )
| p2(X0)
| p1(X0)
| ! [X47] :
( p2(X47)
| p1(X47)
| p4(X47)
| ! [X48] : ~ r1(X47,X48)
| p3(X47)
| ~ r1(X0,X47) )
| p3(X0) )
& ( ! [X49] :
( ! [X50] : ~ r1(X49,X50)
| p1(X49)
| p3(X49)
| p4(X49)
| ~ r1(X0,X49)
| p2(X49) )
| ? [X51] :
( ~ p2(X51)
& r1(X0,X51)
& sP3(X51)
& sP4(X51)
& ~ p1(X51) )
| p2(X0)
| p1(X0) )
& ? [X52] :
( r1(X0,X52)
& ~ p3(X52) )
& ! [X53] :
( ? [X54] :
( r1(X53,X54)
& ? [X55] :
( ~ p2(X55)
& r1(X54,X55) )
& p2(X54) )
| p2(X53)
| ~ r1(X0,X53) )
& ( p3(X0)
| ! [X56] :
( p3(X56)
| p4(X56)
| ! [X57] : ~ r1(X56,X57)
| ~ r1(X0,X56)
| p1(X56)
| p2(X56) )
| ? [X58] :
( ~ p3(X58)
& r1(X0,X58)
& sP1(X58)
& ~ p2(X58)
& ~ p4(X58)
& sP2(X58)
& ~ p1(X58) )
| p1(X0)
| p2(X0)
| p4(X0) ) )
=> ( ( p1(sK64)
| p2(sK64)
| ? [X1] :
( ? [X2] : r1(X1,X2)
& ~ p1(X1)
& ! [X3] :
( ( ~ p1(X3)
& ~ p2(X3)
& ? [X4] : r1(X3,X4) )
| ! [X5] :
( p1(X5)
| ! [X6] : ~ r1(X5,X6)
| ~ r1(X3,X5)
| p2(X5) )
| ~ r1(X1,X3) )
& ~ p2(X1)
& r1(sK64,X1) )
| ! [X7] : ~ r1(sK64,X7) )
& ( p1(sK64)
| ! [X8] : ~ r1(sK64,X8)
| ? [X9] :
( ? [X10] : r1(X9,X10)
& r1(sK64,X9)
& ! [X11] :
( ~ r1(X9,X11)
| ! [X12] :
( ~ r1(X11,X12)
| p1(X12)
| ! [X13] : ~ r1(X12,X13) )
| ( ? [X14] : r1(X11,X14)
& ~ p1(X11) ) )
& ~ p1(X9) ) )
& ( p3(sK64)
| p2(sK64)
| ! [X15] : ~ r1(sK64,X15)
| ? [X16] :
( ? [X17] : r1(X16,X17)
& ~ p1(X16)
& r1(sK64,X16)
& ~ p3(X16)
& sP21(X16)
& ~ p2(X16) )
| p1(sK64) )
& ! [X18] :
( p3(X18)
| ? [X19] :
( ? [X20] :
( r1(X19,X20)
& ~ p3(X20) )
& p3(X19)
& r1(X18,X19) )
| ~ r1(sK64,X18) )
& ( ? [X21] :
( ~ p1(X21)
& sP20(X21)
& r1(sK64,X21)
& sP19(X21) )
| p1(sK64)
| ! [X22] :
( p1(X22)
| p3(X22)
| p2(X22)
| ! [X23] : ~ r1(X22,X23)
| ~ r1(sK64,X22)
| p4(X22) ) )
& ( ! [X24] :
( ~ r1(sK64,X24)
| p1(X24)
| p4(X24)
| p2(X24)
| p3(X24)
| ! [X25] :
( p4(X25)
| ! [X26] : ~ r1(X25,X26)
| p2(X25)
| p1(X25)
| ~ r1(X24,X25)
| p3(X25) ) )
| ? [X27] :
( sP17(X27)
& ~ p1(X27)
& sP18(X27)
& r1(sK64,X27) )
| p1(sK64) )
& ! [X28] :
( ? [X29] :
( ! [X30] :
( ! [X31] :
( p2(X31)
| ~ r1(X30,X31) )
| ~ p2(X30)
| ~ r1(X29,X30) )
& r1(X28,X29)
& ~ p2(X29) )
| p2(X28)
| ~ r1(sK64,X28) )
& ? [X32] :
( ~ p1(X32)
& r1(sK64,X32) )
& ? [X33] :
( ~ p2(X33)
& r1(sK64,X33) )
& ! [X34] :
( ? [X35] :
( r1(X34,X35)
& ? [X36] :
( ~ p1(X36)
& r1(X35,X36) )
& p1(X35) )
| ~ r1(sK64,X34)
| p1(X34) )
& ( p2(sK64)
| ! [X37] : ~ r1(sK64,X37)
| p1(sK64)
| ? [X38] :
( ~ p3(X38)
& ~ p4(X38)
& r1(sK64,X38)
& sP14(X38)
& ? [X39] : r1(X38,X39)
& ~ p1(X38)
& ~ p2(X38) )
| p4(sK64)
| p3(sK64) )
& ( sP13(sK64)
| ? [X40] :
( ! [X41] :
( sP10(X41)
| sP11(X41)
| ~ r1(X40,X41)
| ( ~ p2(X41)
& ! [X42] :
( ~ p2(X42)
| ~ r1(X41,X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) ) ) ) )
& ( ( ! [X44] :
( ~ p2(X44)
| ~ r1(X40,X44)
| ! [X45] :
( ~ r1(X44,X45)
| p2(X45) ) )
& ~ p2(X40) )
| sP8(X40) )
& r1(sK64,X40) ) )
& ( ? [X46] :
( ~ p3(X46)
& r1(sK64,X46)
& sP7(X46)
& sP6(X46)
& ~ p2(X46)
& ~ p1(X46) )
| p2(sK64)
| p1(sK64)
| ! [X47] :
( p2(X47)
| p1(X47)
| p4(X47)
| ! [X48] : ~ r1(X47,X48)
| p3(X47)
| ~ r1(sK64,X47) )
| p3(sK64) )
& ( ! [X49] :
( ! [X50] : ~ r1(X49,X50)
| p1(X49)
| p3(X49)
| p4(X49)
| ~ r1(sK64,X49)
| p2(X49) )
| ? [X51] :
( ~ p2(X51)
& r1(sK64,X51)
& sP3(X51)
& sP4(X51)
& ~ p1(X51) )
| p2(sK64)
| p1(sK64) )
& ? [X52] :
( r1(sK64,X52)
& ~ p3(X52) )
& ! [X53] :
( ? [X54] :
( r1(X53,X54)
& ? [X55] :
( ~ p2(X55)
& r1(X54,X55) )
& p2(X54) )
| p2(X53)
| ~ r1(sK64,X53) )
& ( p3(sK64)
| ! [X56] :
( p3(X56)
| p4(X56)
| ! [X57] : ~ r1(X56,X57)
| ~ r1(sK64,X56)
| p1(X56)
| p2(X56) )
| ? [X58] :
( ~ p3(X58)
& r1(sK64,X58)
& sP1(X58)
& ~ p2(X58)
& ~ p4(X58)
& sP2(X58)
& ~ p1(X58) )
| p1(sK64)
| p2(sK64)
| p4(sK64) ) ) ),
introduced(choice_axiom,[]) ).
fof(f139,plain,
( ? [X1] :
( ? [X2] : r1(X1,X2)
& ~ p1(X1)
& ! [X3] :
( ( ~ p1(X3)
& ~ p2(X3)
& ? [X4] : r1(X3,X4) )
| ! [X5] :
( p1(X5)
| ! [X6] : ~ r1(X5,X6)
| ~ r1(X3,X5)
| p2(X5) )
| ~ r1(X1,X3) )
& ~ p2(X1)
& r1(sK64,X1) )
=> ( ? [X2] : r1(sK65,X2)
& ~ p1(sK65)
& ! [X3] :
( ( ~ p1(X3)
& ~ p2(X3)
& ? [X4] : r1(X3,X4) )
| ! [X5] :
( p1(X5)
| ! [X6] : ~ r1(X5,X6)
| ~ r1(X3,X5)
| p2(X5) )
| ~ r1(sK65,X3) )
& ~ p2(sK65)
& r1(sK64,sK65) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
( ? [X2] : r1(sK65,X2)
=> r1(sK65,sK66) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
! [X3] :
( ? [X4] : r1(X3,X4)
=> r1(X3,sK67(X3)) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
( ? [X9] :
( ? [X10] : r1(X9,X10)
& r1(sK64,X9)
& ! [X11] :
( ~ r1(X9,X11)
| ! [X12] :
( ~ r1(X11,X12)
| p1(X12)
| ! [X13] : ~ r1(X12,X13) )
| ( ? [X14] : r1(X11,X14)
& ~ p1(X11) ) )
& ~ p1(X9) )
=> ( ? [X10] : r1(sK68,X10)
& r1(sK64,sK68)
& ! [X11] :
( ~ r1(sK68,X11)
| ! [X12] :
( ~ r1(X11,X12)
| p1(X12)
| ! [X13] : ~ r1(X12,X13) )
| ( ? [X14] : r1(X11,X14)
& ~ p1(X11) ) )
& ~ p1(sK68) ) ),
introduced(choice_axiom,[]) ).
fof(f143,plain,
( ? [X10] : r1(sK68,X10)
=> r1(sK68,sK69) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
! [X11] :
( ? [X14] : r1(X11,X14)
=> r1(X11,sK70(X11)) ),
introduced(choice_axiom,[]) ).
fof(f145,plain,
( ? [X16] :
( ? [X17] : r1(X16,X17)
& ~ p1(X16)
& r1(sK64,X16)
& ~ p3(X16)
& sP21(X16)
& ~ p2(X16) )
=> ( ? [X17] : r1(sK71,X17)
& ~ p1(sK71)
& r1(sK64,sK71)
& ~ p3(sK71)
& sP21(sK71)
& ~ p2(sK71) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
( ? [X17] : r1(sK71,X17)
=> r1(sK71,sK72) ),
introduced(choice_axiom,[]) ).
fof(f147,plain,
! [X18] :
( ? [X19] :
( ? [X20] :
( r1(X19,X20)
& ~ p3(X20) )
& p3(X19)
& r1(X18,X19) )
=> ( ? [X20] :
( r1(sK73(X18),X20)
& ~ p3(X20) )
& p3(sK73(X18))
& r1(X18,sK73(X18)) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
! [X18] :
( ? [X20] :
( r1(sK73(X18),X20)
& ~ p3(X20) )
=> ( r1(sK73(X18),sK74(X18))
& ~ p3(sK74(X18)) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
( ? [X21] :
( ~ p1(X21)
& sP20(X21)
& r1(sK64,X21)
& sP19(X21) )
=> ( ~ p1(sK75)
& sP20(sK75)
& r1(sK64,sK75)
& sP19(sK75) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
( ? [X27] :
( sP17(X27)
& ~ p1(X27)
& sP18(X27)
& r1(sK64,X27) )
=> ( sP17(sK76)
& ~ p1(sK76)
& sP18(sK76)
& r1(sK64,sK76) ) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
! [X28] :
( ? [X29] :
( ! [X30] :
( ! [X31] :
( p2(X31)
| ~ r1(X30,X31) )
| ~ p2(X30)
| ~ r1(X29,X30) )
& r1(X28,X29)
& ~ p2(X29) )
=> ( ! [X30] :
( ! [X31] :
( p2(X31)
| ~ r1(X30,X31) )
| ~ p2(X30)
| ~ r1(sK77(X28),X30) )
& r1(X28,sK77(X28))
& ~ p2(sK77(X28)) ) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
( ? [X32] :
( ~ p1(X32)
& r1(sK64,X32) )
=> ( ~ p1(sK78)
& r1(sK64,sK78) ) ),
introduced(choice_axiom,[]) ).
fof(f153,plain,
( ? [X33] :
( ~ p2(X33)
& r1(sK64,X33) )
=> ( ~ p2(sK79)
& r1(sK64,sK79) ) ),
introduced(choice_axiom,[]) ).
fof(f154,plain,
! [X34] :
( ? [X35] :
( r1(X34,X35)
& ? [X36] :
( ~ p1(X36)
& r1(X35,X36) )
& p1(X35) )
=> ( r1(X34,sK80(X34))
& ? [X36] :
( ~ p1(X36)
& r1(sK80(X34),X36) )
& p1(sK80(X34)) ) ),
introduced(choice_axiom,[]) ).
fof(f155,plain,
! [X34] :
( ? [X36] :
( ~ p1(X36)
& r1(sK80(X34),X36) )
=> ( ~ p1(sK81(X34))
& r1(sK80(X34),sK81(X34)) ) ),
introduced(choice_axiom,[]) ).
fof(f156,plain,
( ? [X38] :
( ~ p3(X38)
& ~ p4(X38)
& r1(sK64,X38)
& sP14(X38)
& ? [X39] : r1(X38,X39)
& ~ p1(X38)
& ~ p2(X38) )
=> ( ~ p3(sK82)
& ~ p4(sK82)
& r1(sK64,sK82)
& sP14(sK82)
& ? [X39] : r1(sK82,X39)
& ~ p1(sK82)
& ~ p2(sK82) ) ),
introduced(choice_axiom,[]) ).
fof(f157,plain,
( ? [X39] : r1(sK82,X39)
=> r1(sK82,sK83) ),
introduced(choice_axiom,[]) ).
fof(f158,plain,
( ? [X40] :
( ! [X41] :
( sP10(X41)
| sP11(X41)
| ~ r1(X40,X41)
| ( ~ p2(X41)
& ! [X42] :
( ~ p2(X42)
| ~ r1(X41,X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) ) ) ) )
& ( ( ! [X44] :
( ~ p2(X44)
| ~ r1(X40,X44)
| ! [X45] :
( ~ r1(X44,X45)
| p2(X45) ) )
& ~ p2(X40) )
| sP8(X40) )
& r1(sK64,X40) )
=> ( ! [X41] :
( sP10(X41)
| sP11(X41)
| ~ r1(sK84,X41)
| ( ~ p2(X41)
& ! [X42] :
( ~ p2(X42)
| ~ r1(X41,X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) ) ) ) )
& ( ( ! [X44] :
( ~ p2(X44)
| ~ r1(sK84,X44)
| ! [X45] :
( ~ r1(X44,X45)
| p2(X45) ) )
& ~ p2(sK84) )
| sP8(sK84) )
& r1(sK64,sK84) ) ),
introduced(choice_axiom,[]) ).
fof(f159,plain,
( ? [X46] :
( ~ p3(X46)
& r1(sK64,X46)
& sP7(X46)
& sP6(X46)
& ~ p2(X46)
& ~ p1(X46) )
=> ( ~ p3(sK85)
& r1(sK64,sK85)
& sP7(sK85)
& sP6(sK85)
& ~ p2(sK85)
& ~ p1(sK85) ) ),
introduced(choice_axiom,[]) ).
fof(f160,plain,
( ? [X51] :
( ~ p2(X51)
& r1(sK64,X51)
& sP3(X51)
& sP4(X51)
& ~ p1(X51) )
=> ( ~ p2(sK86)
& r1(sK64,sK86)
& sP3(sK86)
& sP4(sK86)
& ~ p1(sK86) ) ),
introduced(choice_axiom,[]) ).
fof(f161,plain,
( ? [X52] :
( r1(sK64,X52)
& ~ p3(X52) )
=> ( r1(sK64,sK87)
& ~ p3(sK87) ) ),
introduced(choice_axiom,[]) ).
fof(f162,plain,
! [X53] :
( ? [X54] :
( r1(X53,X54)
& ? [X55] :
( ~ p2(X55)
& r1(X54,X55) )
& p2(X54) )
=> ( r1(X53,sK88(X53))
& ? [X55] :
( ~ p2(X55)
& r1(sK88(X53),X55) )
& p2(sK88(X53)) ) ),
introduced(choice_axiom,[]) ).
fof(f163,plain,
! [X53] :
( ? [X55] :
( ~ p2(X55)
& r1(sK88(X53),X55) )
=> ( ~ p2(sK89(X53))
& r1(sK88(X53),sK89(X53)) ) ),
introduced(choice_axiom,[]) ).
fof(f164,plain,
( ? [X58] :
( ~ p3(X58)
& r1(sK64,X58)
& sP1(X58)
& ~ p2(X58)
& ~ p4(X58)
& sP2(X58)
& ~ p1(X58) )
=> ( ~ p3(sK90)
& r1(sK64,sK90)
& sP1(sK90)
& ~ p2(sK90)
& ~ p4(sK90)
& sP2(sK90)
& ~ p1(sK90) ) ),
introduced(choice_axiom,[]) ).
fof(f137,plain,
? [X0] :
( ( p1(X0)
| p2(X0)
| ? [X1] :
( ? [X2] : r1(X1,X2)
& ~ p1(X1)
& ! [X3] :
( ( ~ p1(X3)
& ~ p2(X3)
& ? [X4] : r1(X3,X4) )
| ! [X5] :
( p1(X5)
| ! [X6] : ~ r1(X5,X6)
| ~ r1(X3,X5)
| p2(X5) )
| ~ r1(X1,X3) )
& ~ p2(X1)
& r1(X0,X1) )
| ! [X7] : ~ r1(X0,X7) )
& ( p1(X0)
| ! [X8] : ~ r1(X0,X8)
| ? [X9] :
( ? [X10] : r1(X9,X10)
& r1(X0,X9)
& ! [X11] :
( ~ r1(X9,X11)
| ! [X12] :
( ~ r1(X11,X12)
| p1(X12)
| ! [X13] : ~ r1(X12,X13) )
| ( ? [X14] : r1(X11,X14)
& ~ p1(X11) ) )
& ~ p1(X9) ) )
& ( p3(X0)
| p2(X0)
| ! [X15] : ~ r1(X0,X15)
| ? [X16] :
( ? [X17] : r1(X16,X17)
& ~ p1(X16)
& r1(X0,X16)
& ~ p3(X16)
& sP21(X16)
& ~ p2(X16) )
| p1(X0) )
& ! [X18] :
( p3(X18)
| ? [X19] :
( ? [X20] :
( r1(X19,X20)
& ~ p3(X20) )
& p3(X19)
& r1(X18,X19) )
| ~ r1(X0,X18) )
& ( ? [X21] :
( ~ p1(X21)
& sP20(X21)
& r1(X0,X21)
& sP19(X21) )
| p1(X0)
| ! [X22] :
( p1(X22)
| p3(X22)
| p2(X22)
| ! [X23] : ~ r1(X22,X23)
| ~ r1(X0,X22)
| p4(X22) ) )
& ( ! [X24] :
( ~ r1(X0,X24)
| p1(X24)
| p4(X24)
| p2(X24)
| p3(X24)
| ! [X25] :
( p4(X25)
| ! [X26] : ~ r1(X25,X26)
| p2(X25)
| p1(X25)
| ~ r1(X24,X25)
| p3(X25) ) )
| ? [X27] :
( sP17(X27)
& ~ p1(X27)
& sP18(X27)
& r1(X0,X27) )
| p1(X0) )
& ! [X28] :
( ? [X29] :
( ! [X30] :
( ! [X31] :
( p2(X31)
| ~ r1(X30,X31) )
| ~ p2(X30)
| ~ r1(X29,X30) )
& r1(X28,X29)
& ~ p2(X29) )
| p2(X28)
| ~ r1(X0,X28) )
& ? [X32] :
( ~ p1(X32)
& r1(X0,X32) )
& ? [X33] :
( ~ p2(X33)
& r1(X0,X33) )
& ! [X34] :
( ? [X35] :
( r1(X34,X35)
& ? [X36] :
( ~ p1(X36)
& r1(X35,X36) )
& p1(X35) )
| ~ r1(X0,X34)
| p1(X34) )
& ( p2(X0)
| ! [X37] : ~ r1(X0,X37)
| p1(X0)
| ? [X38] :
( ~ p3(X38)
& ~ p4(X38)
& r1(X0,X38)
& sP14(X38)
& ? [X39] : r1(X38,X39)
& ~ p1(X38)
& ~ p2(X38) )
| p4(X0)
| p3(X0) )
& ( sP13(X0)
| ? [X40] :
( ! [X41] :
( sP10(X41)
| sP11(X41)
| ~ r1(X40,X41)
| ( ~ p2(X41)
& ! [X42] :
( ~ p2(X42)
| ~ r1(X41,X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) ) ) ) )
& ( ( ! [X44] :
( ~ p2(X44)
| ~ r1(X40,X44)
| ! [X45] :
( ~ r1(X44,X45)
| p2(X45) ) )
& ~ p2(X40) )
| sP8(X40) )
& r1(X0,X40) ) )
& ( ? [X46] :
( ~ p3(X46)
& r1(X0,X46)
& sP7(X46)
& sP6(X46)
& ~ p2(X46)
& ~ p1(X46) )
| p2(X0)
| p1(X0)
| ! [X47] :
( p2(X47)
| p1(X47)
| p4(X47)
| ! [X48] : ~ r1(X47,X48)
| p3(X47)
| ~ r1(X0,X47) )
| p3(X0) )
& ( ! [X49] :
( ! [X50] : ~ r1(X49,X50)
| p1(X49)
| p3(X49)
| p4(X49)
| ~ r1(X0,X49)
| p2(X49) )
| ? [X51] :
( ~ p2(X51)
& r1(X0,X51)
& sP3(X51)
& sP4(X51)
& ~ p1(X51) )
| p2(X0)
| p1(X0) )
& ? [X52] :
( r1(X0,X52)
& ~ p3(X52) )
& ! [X53] :
( ? [X54] :
( r1(X53,X54)
& ? [X55] :
( ~ p2(X55)
& r1(X54,X55) )
& p2(X54) )
| p2(X53)
| ~ r1(X0,X53) )
& ( p3(X0)
| ! [X56] :
( p3(X56)
| p4(X56)
| ! [X57] : ~ r1(X56,X57)
| ~ r1(X0,X56)
| p1(X56)
| p2(X56) )
| ? [X58] :
( ~ p3(X58)
& r1(X0,X58)
& sP1(X58)
& ~ p2(X58)
& ~ p4(X58)
& sP2(X58)
& ~ p1(X58) )
| p1(X0)
| p2(X0)
| p4(X0) ) ),
inference(rectify,[],[f30]) ).
fof(f30,plain,
? [X0] :
( ( p1(X0)
| p2(X0)
| ? [X69] :
( ? [X70] : r1(X69,X70)
& ~ p1(X69)
& ! [X71] :
( ( ~ p1(X71)
& ~ p2(X71)
& ? [X72] : r1(X71,X72) )
| ! [X73] :
( p1(X73)
| ! [X74] : ~ r1(X73,X74)
| ~ r1(X71,X73)
| p2(X73) )
| ~ r1(X69,X71) )
& ~ p2(X69)
& r1(X0,X69) )
| ! [X75] : ~ r1(X0,X75) )
& ( p1(X0)
| ! [X76] : ~ r1(X0,X76)
| ? [X77] :
( ? [X82] : r1(X77,X82)
& r1(X0,X77)
& ! [X78] :
( ~ r1(X77,X78)
| ! [X80] :
( ~ r1(X78,X80)
| p1(X80)
| ! [X81] : ~ r1(X80,X81) )
| ( ? [X79] : r1(X78,X79)
& ~ p1(X78) ) )
& ~ p1(X77) ) )
& ( p3(X0)
| p2(X0)
| ! [X68] : ~ r1(X0,X68)
| ? [X62] :
( ? [X67] : r1(X62,X67)
& ~ p1(X62)
& r1(X0,X62)
& ~ p3(X62)
& sP21(X62)
& ~ p2(X62) )
| p1(X0) )
& ! [X136] :
( p3(X136)
| ? [X137] :
( ? [X138] :
( r1(X137,X138)
& ~ p3(X138) )
& p3(X137)
& r1(X136,X137) )
| ~ r1(X0,X136) )
& ( ? [X107] :
( ~ p1(X107)
& sP20(X107)
& r1(X0,X107)
& sP19(X107) )
| p1(X0)
| ! [X105] :
( p1(X105)
| p3(X105)
| p2(X105)
| ! [X106] : ~ r1(X105,X106)
| ~ r1(X0,X105)
| p4(X105) ) )
& ( ! [X116] :
( ~ r1(X0,X116)
| p1(X116)
| p4(X116)
| p2(X116)
| p3(X116)
| ! [X117] :
( p4(X117)
| ! [X118] : ~ r1(X117,X118)
| p2(X117)
| p1(X117)
| ~ r1(X116,X117)
| p3(X117) ) )
| ? [X119] :
( sP17(X119)
& ~ p1(X119)
& sP18(X119)
& r1(X0,X119) )
| p1(X0) )
& ! [X94] :
( ? [X95] :
( ! [X96] :
( ! [X97] :
( p2(X97)
| ~ r1(X96,X97) )
| ~ p2(X96)
| ~ r1(X95,X96) )
& r1(X94,X95)
& ~ p2(X95) )
| p2(X94)
| ~ r1(X0,X94) )
& ? [X139] :
( ~ p1(X139)
& r1(X0,X139) )
& ? [X135] :
( ~ p2(X135)
& r1(X0,X135) )
& ! [X140] :
( ? [X141] :
( r1(X140,X141)
& ? [X142] :
( ~ p1(X142)
& r1(X141,X142) )
& p1(X141) )
| ~ r1(X0,X140)
| p1(X140) )
& ( p2(X0)
| ! [X104] : ~ r1(X0,X104)
| p1(X0)
| ? [X98] :
( ~ p3(X98)
& ~ p4(X98)
& r1(X0,X98)
& sP14(X98)
& ? [X103] : r1(X98,X103)
& ~ p1(X98)
& ~ p2(X98) )
| p4(X0)
| p3(X0) )
& ( sP13(X0)
| ? [X12] :
( ! [X22] :
( sP10(X22)
| sP11(X22)
| ~ r1(X12,X22)
| ( ~ p2(X22)
& ! [X30] :
( ~ p2(X30)
| ~ r1(X22,X30)
| ! [X31] :
( p2(X31)
| ~ r1(X30,X31) ) ) ) )
& ( ( ! [X13] :
( ~ p2(X13)
| ~ r1(X12,X13)
| ! [X14] :
( ~ r1(X13,X14)
| p2(X14) ) )
& ~ p2(X12) )
| sP8(X12) )
& r1(X0,X12) ) )
& ( ? [X3] :
( ~ p3(X3)
& r1(X0,X3)
& sP7(X3)
& sP6(X3)
& ~ p2(X3)
& ~ p1(X3) )
| p2(X0)
| p1(X0)
| ! [X1] :
( p2(X1)
| p1(X1)
| p4(X1)
| ! [X2] : ~ r1(X1,X2)
| p3(X1)
| ~ r1(X0,X1) )
| p3(X0) )
& ( ! [X83] :
( ! [X84] : ~ r1(X83,X84)
| p1(X83)
| p3(X83)
| p4(X83)
| ~ r1(X0,X83)
| p2(X83) )
| ? [X85] :
( ~ p2(X85)
& r1(X0,X85)
& sP3(X85)
& sP4(X85)
& ~ p1(X85) )
| p2(X0)
| p1(X0) )
& ? [X134] :
( r1(X0,X134)
& ~ p3(X134) )
& ! [X131] :
( ? [X132] :
( r1(X131,X132)
& ? [X133] :
( ~ p2(X133)
& r1(X132,X133) )
& p2(X132) )
| p2(X131)
| ~ r1(X0,X131) )
& ( p3(X0)
| ! [X51] :
( p3(X51)
| p4(X51)
| ! [X52] : ~ r1(X51,X52)
| ~ r1(X0,X51)
| p1(X51)
| p2(X51) )
| ? [X53] :
( ~ p3(X53)
& r1(X0,X53)
& sP1(X53)
& ~ p2(X53)
& ~ p4(X53)
& sP2(X53)
& ~ p1(X53) )
| p1(X0)
| p2(X0)
| p4(X0) ) ),
inference(definition_folding,[],[f7,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,
! [X54] :
( ? [X55] :
( r1(X54,X55)
& ~ p2(X55)
& ~ p4(X55)
& ~ p1(X55)
& ? [X56] : r1(X55,X56)
& ~ p3(X55) )
| ~ sP0(X54) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f9,plain,
! [X53] :
( ? [X60] :
( ? [X61] : r1(X60,X61)
& ~ p2(X60)
& r1(X53,X60)
& ~ p1(X60)
& ~ p4(X60)
& ~ p3(X60) )
| ~ sP1(X53) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f10,plain,
! [X53] :
( ! [X54] :
( ( ~ p1(X54)
& sP0(X54)
& ~ p2(X54)
& ~ p3(X54)
& ~ p4(X54) )
| ~ r1(X53,X54)
| ! [X57] :
( ! [X58] :
( p1(X58)
| ~ r1(X57,X58)
| p2(X58)
| p4(X58)
| p3(X58)
| ! [X59] : ~ r1(X58,X59) )
| p3(X57)
| p4(X57)
| p2(X57)
| p1(X57)
| ~ r1(X54,X57) ) )
| ~ sP2(X53) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f11,plain,
! [X85] :
( ! [X88] :
( ! [X89] :
( p1(X89)
| ! [X90] :
( p2(X90)
| p3(X90)
| ~ r1(X89,X90)
| p4(X90)
| p1(X90)
| ! [X91] : ~ r1(X90,X91) )
| ~ r1(X88,X89)
| p2(X89) )
| ~ r1(X85,X88)
| ( ~ p1(X88)
& ~ p2(X88)
& ? [X92] :
( ? [X93] : r1(X92,X93)
& ~ p1(X92)
& ~ p3(X92)
& ~ p2(X92)
& r1(X88,X92)
& ~ p4(X92) ) ) )
| ~ sP3(X85) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f12,plain,
! [X85] :
( ? [X86] :
( ~ p2(X86)
& ~ p1(X86)
& ~ p3(X86)
& r1(X85,X86)
& ? [X87] : r1(X86,X87)
& ~ p4(X86) )
| ~ sP4(X85) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f13,plain,
! [X6] :
( ? [X7] :
( ? [X8] : r1(X7,X8)
& ~ p4(X7)
& ~ p2(X7)
& ~ p3(X7)
& r1(X6,X7)
& ~ p1(X7) )
| ~ sP5(X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f14,plain,
! [X3] :
( ? [X4] :
( ~ p1(X4)
& r1(X3,X4)
& ~ p2(X4)
& ~ p3(X4)
& ? [X5] : r1(X4,X5)
& ~ p4(X4) )
| ~ sP6(X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f15,plain,
! [X3] :
( ! [X6] :
( ~ r1(X3,X6)
| ! [X9] :
( p1(X9)
| ! [X10] :
( ! [X11] : ~ r1(X10,X11)
| ~ r1(X9,X10)
| p1(X10)
| p4(X10)
| p2(X10)
| p3(X10) )
| p2(X9)
| p3(X9)
| ~ r1(X6,X9) )
| ( ~ p1(X6)
& ~ p3(X6)
& sP5(X6)
& ~ p2(X6) ) )
| ~ sP7(X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f17,plain,
! [X32] :
( ! [X33] :
( ! [X34] :
( p2(X34)
| ~ r1(X33,X34)
| ? [X35] :
( ? [X36] :
( ~ p2(X36)
& r1(X35,X36) )
& p2(X35)
& r1(X34,X35) ) )
| ~ r1(X32,X33) )
| ~ sP9(X32) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f20,plain,
! [X0] :
( ! [X47] :
( ! [X48] :
( ? [X49] :
( p2(X49)
& r1(X48,X49)
& ? [X50] :
( r1(X49,X50)
& ~ p2(X50) ) )
| p2(X48)
| ~ r1(X47,X48) )
| ~ r1(X0,X47) )
| ~ sP12(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f21,plain,
! [X0] :
( ( ( p2(X0)
| ? [X42] :
( r1(X0,X42)
& ? [X43] :
( r1(X42,X43)
& ~ p2(X43) )
& p2(X42) ) )
& ( sP12(X0)
| ? [X44] :
( ! [X45] :
( ~ p2(X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ r1(X44,X45) )
& r1(X0,X44)
& ~ p2(X44) ) ) )
| ~ sP13(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f22,plain,
! [X98] :
( ! [X99] :
( ! [X101] :
( p2(X101)
| ! [X102] : ~ r1(X101,X102)
| p1(X101)
| p3(X101)
| p4(X101)
| ~ r1(X99,X101) )
| ( ~ p2(X99)
& ? [X100] : r1(X99,X100)
& ~ p1(X99)
& ~ p4(X99)
& ~ p3(X99) )
| ~ r1(X98,X99) )
| ~ sP14(X98) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f23,plain,
! [X120] :
( ? [X121] :
( ~ p4(X121)
& ~ p2(X121)
& ? [X122] : r1(X121,X122)
& ~ p1(X121)
& ~ p3(X121)
& r1(X120,X121) )
| ~ sP15(X120) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f24,plain,
! [X124] :
( ? [X125] :
( ~ p4(X125)
& ~ p3(X125)
& ~ p2(X125)
& ~ p1(X125)
& ? [X126] : r1(X125,X126)
& r1(X124,X125) )
| ~ sP16(X124) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f25,plain,
! [X119] :
( ! [X123] :
( ~ r1(X119,X123)
| ( ? [X124] :
( sP16(X124)
& ~ p4(X124)
& ~ p2(X124)
& ~ p3(X124)
& r1(X123,X124)
& ~ p1(X124) )
& ~ p1(X123) )
| ! [X127] :
( ! [X128] :
( p2(X128)
| ! [X129] :
( ~ r1(X128,X129)
| p3(X129)
| p4(X129)
| ! [X130] : ~ r1(X129,X130)
| p2(X129)
| p1(X129) )
| ~ r1(X127,X128)
| p1(X128)
| p3(X128)
| p4(X128) )
| p1(X127)
| ~ r1(X123,X127) ) )
| ~ sP17(X119) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f26,plain,
! [X119] :
( ? [X120] :
( ~ p3(X120)
& ~ p1(X120)
& ~ p4(X120)
& r1(X119,X120)
& sP15(X120)
& ~ p2(X120) )
| ~ sP18(X119) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f27,plain,
! [X107] :
( ! [X110] :
( ( ~ p1(X110)
& ? [X114] :
( ~ p3(X114)
& r1(X110,X114)
& ~ p2(X114)
& ~ p1(X114)
& ~ p4(X114)
& ? [X115] : r1(X114,X115) ) )
| ~ r1(X107,X110)
| ! [X111] :
( p1(X111)
| ! [X112] :
( p1(X112)
| p3(X112)
| p2(X112)
| p4(X112)
| ~ r1(X111,X112)
| ! [X113] : ~ r1(X112,X113) )
| ~ r1(X110,X111) ) )
| ~ sP19(X107) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f28,plain,
! [X107] :
( ? [X108] :
( ~ p3(X108)
& ~ p4(X108)
& ~ p2(X108)
& ? [X109] : r1(X108,X109)
& ~ p1(X108)
& r1(X107,X108) )
| ~ sP20(X107) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f29,plain,
! [X62] :
( ! [X63] :
( ! [X65] :
( p3(X65)
| ! [X66] : ~ r1(X65,X66)
| p2(X65)
| ~ r1(X63,X65)
| p1(X65) )
| ( ~ p1(X63)
& ~ p3(X63)
& ? [X64] : r1(X63,X64)
& ~ p2(X63) )
| ~ r1(X62,X63) )
| ~ sP21(X62) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f7,plain,
? [X0] :
( ( p1(X0)
| p2(X0)
| ? [X69] :
( ? [X70] : r1(X69,X70)
& ~ p1(X69)
& ! [X71] :
( ( ~ p1(X71)
& ~ p2(X71)
& ? [X72] : r1(X71,X72) )
| ! [X73] :
( p1(X73)
| ! [X74] : ~ r1(X73,X74)
| ~ r1(X71,X73)
| p2(X73) )
| ~ r1(X69,X71) )
& ~ p2(X69)
& r1(X0,X69) )
| ! [X75] : ~ r1(X0,X75) )
& ( p1(X0)
| ! [X76] : ~ r1(X0,X76)
| ? [X77] :
( ? [X82] : r1(X77,X82)
& r1(X0,X77)
& ! [X78] :
( ~ r1(X77,X78)
| ! [X80] :
( ~ r1(X78,X80)
| p1(X80)
| ! [X81] : ~ r1(X80,X81) )
| ( ? [X79] : r1(X78,X79)
& ~ p1(X78) ) )
& ~ p1(X77) ) )
& ( p3(X0)
| p2(X0)
| ! [X68] : ~ r1(X0,X68)
| ? [X62] :
( ? [X67] : r1(X62,X67)
& ~ p1(X62)
& r1(X0,X62)
& ~ p3(X62)
& ! [X63] :
( ! [X65] :
( p3(X65)
| ! [X66] : ~ r1(X65,X66)
| p2(X65)
| ~ r1(X63,X65)
| p1(X65) )
| ( ~ p1(X63)
& ~ p3(X63)
& ? [X64] : r1(X63,X64)
& ~ p2(X63) )
| ~ r1(X62,X63) )
& ~ p2(X62) )
| p1(X0) )
& ! [X136] :
( p3(X136)
| ? [X137] :
( ? [X138] :
( r1(X137,X138)
& ~ p3(X138) )
& p3(X137)
& r1(X136,X137) )
| ~ r1(X0,X136) )
& ( ? [X107] :
( ~ p1(X107)
& ? [X108] :
( ~ p3(X108)
& ~ p4(X108)
& ~ p2(X108)
& ? [X109] : r1(X108,X109)
& ~ p1(X108)
& r1(X107,X108) )
& r1(X0,X107)
& ! [X110] :
( ( ~ p1(X110)
& ? [X114] :
( ~ p3(X114)
& r1(X110,X114)
& ~ p2(X114)
& ~ p1(X114)
& ~ p4(X114)
& ? [X115] : r1(X114,X115) ) )
| ~ r1(X107,X110)
| ! [X111] :
( p1(X111)
| ! [X112] :
( p1(X112)
| p3(X112)
| p2(X112)
| p4(X112)
| ~ r1(X111,X112)
| ! [X113] : ~ r1(X112,X113) )
| ~ r1(X110,X111) ) ) )
| p1(X0)
| ! [X105] :
( p1(X105)
| p3(X105)
| p2(X105)
| ! [X106] : ~ r1(X105,X106)
| ~ r1(X0,X105)
| p4(X105) ) )
& ( ! [X116] :
( ~ r1(X0,X116)
| p1(X116)
| p4(X116)
| p2(X116)
| p3(X116)
| ! [X117] :
( p4(X117)
| ! [X118] : ~ r1(X117,X118)
| p2(X117)
| p1(X117)
| ~ r1(X116,X117)
| p3(X117) ) )
| ? [X119] :
( ! [X123] :
( ~ r1(X119,X123)
| ( ? [X124] :
( ? [X125] :
( ~ p4(X125)
& ~ p3(X125)
& ~ p2(X125)
& ~ p1(X125)
& ? [X126] : r1(X125,X126)
& r1(X124,X125) )
& ~ p4(X124)
& ~ p2(X124)
& ~ p3(X124)
& r1(X123,X124)
& ~ p1(X124) )
& ~ p1(X123) )
| ! [X127] :
( ! [X128] :
( p2(X128)
| ! [X129] :
( ~ r1(X128,X129)
| p3(X129)
| p4(X129)
| ! [X130] : ~ r1(X129,X130)
| p2(X129)
| p1(X129) )
| ~ r1(X127,X128)
| p1(X128)
| p3(X128)
| p4(X128) )
| p1(X127)
| ~ r1(X123,X127) ) )
& ~ p1(X119)
& ? [X120] :
( ~ p3(X120)
& ~ p1(X120)
& ~ p4(X120)
& r1(X119,X120)
& ? [X121] :
( ~ p4(X121)
& ~ p2(X121)
& ? [X122] : r1(X121,X122)
& ~ p1(X121)
& ~ p3(X121)
& r1(X120,X121) )
& ~ p2(X120) )
& r1(X0,X119) )
| p1(X0) )
& ! [X94] :
( ? [X95] :
( ! [X96] :
( ! [X97] :
( p2(X97)
| ~ r1(X96,X97) )
| ~ p2(X96)
| ~ r1(X95,X96) )
& r1(X94,X95)
& ~ p2(X95) )
| p2(X94)
| ~ r1(X0,X94) )
& ? [X139] :
( ~ p1(X139)
& r1(X0,X139) )
& ? [X135] :
( ~ p2(X135)
& r1(X0,X135) )
& ! [X140] :
( ? [X141] :
( r1(X140,X141)
& ? [X142] :
( ~ p1(X142)
& r1(X141,X142) )
& p1(X141) )
| ~ r1(X0,X140)
| p1(X140) )
& ( p2(X0)
| ! [X104] : ~ r1(X0,X104)
| p1(X0)
| ? [X98] :
( ~ p3(X98)
& ~ p4(X98)
& r1(X0,X98)
& ! [X99] :
( ! [X101] :
( p2(X101)
| ! [X102] : ~ r1(X101,X102)
| p1(X101)
| p3(X101)
| p4(X101)
| ~ r1(X99,X101) )
| ( ~ p2(X99)
& ? [X100] : r1(X99,X100)
& ~ p1(X99)
& ~ p4(X99)
& ~ p3(X99) )
| ~ r1(X98,X99) )
& ? [X103] : r1(X98,X103)
& ~ p1(X98)
& ~ p2(X98) )
| p4(X0)
| p3(X0) )
& ( ( ( p2(X0)
| ? [X42] :
( r1(X0,X42)
& ? [X43] :
( r1(X42,X43)
& ~ p2(X43) )
& p2(X42) ) )
& ( ! [X47] :
( ! [X48] :
( ? [X49] :
( p2(X49)
& r1(X48,X49)
& ? [X50] :
( r1(X49,X50)
& ~ p2(X50) ) )
| p2(X48)
| ~ r1(X47,X48) )
| ~ r1(X0,X47) )
| ? [X44] :
( ! [X45] :
( ~ p2(X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ r1(X44,X45) )
& r1(X0,X44)
& ~ p2(X44) ) ) )
| ? [X12] :
( ! [X22] :
( ( ? [X23] :
( ? [X24] :
( ! [X25] :
( ~ r1(X24,X25)
| ~ p2(X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) ) )
& ~ p2(X24)
& r1(X23,X24) )
& r1(X22,X23) )
& ! [X27] :
( p2(X27)
| ~ r1(X22,X27)
| ? [X28] :
( ? [X29] :
( r1(X28,X29)
& ~ p2(X29) )
& r1(X27,X28)
& p2(X28) ) ) )
| ! [X32] :
( ~ r1(X22,X32)
| ( ( p2(X32)
| ? [X40] :
( ? [X41] :
( ~ p2(X41)
& r1(X40,X41) )
& p2(X40)
& r1(X32,X40) ) )
& ( ? [X37] :
( ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
& ~ p2(X37)
& r1(X32,X37) )
| ! [X33] :
( ! [X34] :
( p2(X34)
| ~ r1(X33,X34)
| ? [X35] :
( ? [X36] :
( ~ p2(X36)
& r1(X35,X36) )
& p2(X35)
& r1(X34,X35) ) )
| ~ r1(X32,X33) ) ) ) )
| ~ r1(X12,X22)
| ( ~ p2(X22)
& ! [X30] :
( ~ p2(X30)
| ~ r1(X22,X30)
| ! [X31] :
( p2(X31)
| ~ r1(X30,X31) ) ) ) )
& ( ( ! [X13] :
( ~ p2(X13)
| ~ r1(X12,X13)
| ! [X14] :
( ~ r1(X13,X14)
| p2(X14) ) )
& ~ p2(X12) )
| ( ? [X15] :
( r1(X12,X15)
& ? [X16] :
( r1(X15,X16)
& ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| p2(X18) )
| ~ p2(X17) )
& ~ p2(X16) ) )
& ! [X19] :
( ? [X20] :
( p2(X20)
& ? [X21] :
( ~ p2(X21)
& r1(X20,X21) )
& r1(X19,X20) )
| p2(X19)
| ~ r1(X12,X19) ) ) )
& r1(X0,X12) ) )
& ( ? [X3] :
( ~ p3(X3)
& r1(X0,X3)
& ! [X6] :
( ~ r1(X3,X6)
| ! [X9] :
( p1(X9)
| ! [X10] :
( ! [X11] : ~ r1(X10,X11)
| ~ r1(X9,X10)
| p1(X10)
| p4(X10)
| p2(X10)
| p3(X10) )
| p2(X9)
| p3(X9)
| ~ r1(X6,X9) )
| ( ~ p1(X6)
& ~ p3(X6)
& ? [X7] :
( ? [X8] : r1(X7,X8)
& ~ p4(X7)
& ~ p2(X7)
& ~ p3(X7)
& r1(X6,X7)
& ~ p1(X7) )
& ~ p2(X6) ) )
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4)
& ~ p2(X4)
& ~ p3(X4)
& ? [X5] : r1(X4,X5)
& ~ p4(X4) )
& ~ p2(X3)
& ~ p1(X3) )
| p2(X0)
| p1(X0)
| ! [X1] :
( p2(X1)
| p1(X1)
| p4(X1)
| ! [X2] : ~ r1(X1,X2)
| p3(X1)
| ~ r1(X0,X1) )
| p3(X0) )
& ( ! [X83] :
( ! [X84] : ~ r1(X83,X84)
| p1(X83)
| p3(X83)
| p4(X83)
| ~ r1(X0,X83)
| p2(X83) )
| ? [X85] :
( ~ p2(X85)
& r1(X0,X85)
& ! [X88] :
( ! [X89] :
( p1(X89)
| ! [X90] :
( p2(X90)
| p3(X90)
| ~ r1(X89,X90)
| p4(X90)
| p1(X90)
| ! [X91] : ~ r1(X90,X91) )
| ~ r1(X88,X89)
| p2(X89) )
| ~ r1(X85,X88)
| ( ~ p1(X88)
& ~ p2(X88)
& ? [X92] :
( ? [X93] : r1(X92,X93)
& ~ p1(X92)
& ~ p3(X92)
& ~ p2(X92)
& r1(X88,X92)
& ~ p4(X92) ) ) )
& ? [X86] :
( ~ p2(X86)
& ~ p1(X86)
& ~ p3(X86)
& r1(X85,X86)
& ? [X87] : r1(X86,X87)
& ~ p4(X86) )
& ~ p1(X85) )
| p2(X0)
| p1(X0) )
& ? [X134] :
( r1(X0,X134)
& ~ p3(X134) )
& ! [X131] :
( ? [X132] :
( r1(X131,X132)
& ? [X133] :
( ~ p2(X133)
& r1(X132,X133) )
& p2(X132) )
| p2(X131)
| ~ r1(X0,X131) )
& ( p3(X0)
| ! [X51] :
( p3(X51)
| p4(X51)
| ! [X52] : ~ r1(X51,X52)
| ~ r1(X0,X51)
| p1(X51)
| p2(X51) )
| ? [X53] :
( ~ p3(X53)
& r1(X0,X53)
& ? [X60] :
( ? [X61] : r1(X60,X61)
& ~ p2(X60)
& r1(X53,X60)
& ~ p1(X60)
& ~ p4(X60)
& ~ p3(X60) )
& ~ p2(X53)
& ~ p4(X53)
& ! [X54] :
( ( ~ p1(X54)
& ? [X55] :
( r1(X54,X55)
& ~ p2(X55)
& ~ p4(X55)
& ~ p1(X55)
& ? [X56] : r1(X55,X56)
& ~ p3(X55) )
& ~ p2(X54)
& ~ p3(X54)
& ~ p4(X54) )
| ~ r1(X53,X54)
| ! [X57] :
( ! [X58] :
( p1(X58)
| ~ r1(X57,X58)
| p2(X58)
| p4(X58)
| p3(X58)
| ! [X59] : ~ r1(X58,X59) )
| p3(X57)
| p4(X57)
| p2(X57)
| p1(X57)
| ~ r1(X54,X57) ) )
& ~ p1(X53) )
| p1(X0)
| p2(X0)
| p4(X0) ) ),
inference(flattening,[],[f6]) ).
fof(f6,plain,
? [X0] :
( ? [X139] :
( ~ p1(X139)
& r1(X0,X139) )
& ! [X136] :
( p3(X136)
| ? [X137] :
( ? [X138] :
( r1(X137,X138)
& ~ p3(X138) )
& p3(X137)
& r1(X136,X137) )
| ~ r1(X0,X136) )
& ? [X135] :
( ~ p2(X135)
& r1(X0,X135) )
& ( ! [X116] :
( ~ r1(X0,X116)
| p1(X116)
| p4(X116)
| p2(X116)
| p3(X116)
| ! [X117] :
( p4(X117)
| ! [X118] : ~ r1(X117,X118)
| p2(X117)
| p1(X117)
| ~ r1(X116,X117)
| p3(X117) ) )
| ? [X119] :
( ! [X123] :
( ~ r1(X119,X123)
| ( ? [X124] :
( ? [X125] :
( ~ p4(X125)
& ~ p3(X125)
& ~ p2(X125)
& ~ p1(X125)
& ? [X126] : r1(X125,X126)
& r1(X124,X125) )
& ~ p4(X124)
& ~ p2(X124)
& ~ p3(X124)
& r1(X123,X124)
& ~ p1(X124) )
& ~ p1(X123) )
| ! [X127] :
( ! [X128] :
( p2(X128)
| ! [X129] :
( ~ r1(X128,X129)
| p3(X129)
| p4(X129)
| ! [X130] : ~ r1(X129,X130)
| p2(X129)
| p1(X129) )
| ~ r1(X127,X128)
| p1(X128)
| p3(X128)
| p4(X128) )
| p1(X127)
| ~ r1(X123,X127) ) )
& ~ p1(X119)
& ? [X120] :
( ~ p3(X120)
& ~ p1(X120)
& ~ p4(X120)
& r1(X119,X120)
& ? [X121] :
( ~ p4(X121)
& ~ p2(X121)
& ? [X122] : r1(X121,X122)
& ~ p1(X121)
& ~ p3(X121)
& r1(X120,X121) )
& ~ p2(X120) )
& r1(X0,X119) )
| p1(X0) )
& ( p2(X0)
| ! [X104] : ~ r1(X0,X104)
| p1(X0)
| ? [X98] :
( ~ p3(X98)
& ~ p4(X98)
& r1(X0,X98)
& ! [X99] :
( ! [X101] :
( p2(X101)
| ! [X102] : ~ r1(X101,X102)
| p1(X101)
| p3(X101)
| p4(X101)
| ~ r1(X99,X101) )
| ( ~ p2(X99)
& ? [X100] : r1(X99,X100)
& ~ p1(X99)
& ~ p4(X99)
& ~ p3(X99) )
| ~ r1(X98,X99) )
& ? [X103] : r1(X98,X103)
& ~ p1(X98)
& ~ p2(X98) )
| p4(X0)
| p3(X0) )
& ( ? [X3] :
( ~ p3(X3)
& r1(X0,X3)
& ! [X6] :
( ~ r1(X3,X6)
| ! [X9] :
( p1(X9)
| ! [X10] :
( ! [X11] : ~ r1(X10,X11)
| ~ r1(X9,X10)
| p1(X10)
| p4(X10)
| p2(X10)
| p3(X10) )
| p2(X9)
| p3(X9)
| ~ r1(X6,X9) )
| ( ~ p1(X6)
& ~ p3(X6)
& ? [X7] :
( ? [X8] : r1(X7,X8)
& ~ p4(X7)
& ~ p2(X7)
& ~ p3(X7)
& r1(X6,X7)
& ~ p1(X7) )
& ~ p2(X6) ) )
& ? [X4] :
( ~ p1(X4)
& r1(X3,X4)
& ~ p2(X4)
& ~ p3(X4)
& ? [X5] : r1(X4,X5)
& ~ p4(X4) )
& ~ p2(X3)
& ~ p1(X3) )
| p2(X0)
| p1(X0)
| ! [X1] :
( p2(X1)
| p1(X1)
| p4(X1)
| ! [X2] : ~ r1(X1,X2)
| p3(X1)
| ~ r1(X0,X1) )
| p3(X0) )
& ( ! [X83] :
( ! [X84] : ~ r1(X83,X84)
| p1(X83)
| p3(X83)
| p4(X83)
| ~ r1(X0,X83)
| p2(X83) )
| ? [X85] :
( ~ p2(X85)
& r1(X0,X85)
& ! [X88] :
( ! [X89] :
( p1(X89)
| ! [X90] :
( p2(X90)
| p3(X90)
| ~ r1(X89,X90)
| p4(X90)
| p1(X90)
| ! [X91] : ~ r1(X90,X91) )
| ~ r1(X88,X89)
| p2(X89) )
| ~ r1(X85,X88)
| ( ~ p1(X88)
& ~ p2(X88)
& ? [X92] :
( ? [X93] : r1(X92,X93)
& ~ p1(X92)
& ~ p3(X92)
& ~ p2(X92)
& r1(X88,X92)
& ~ p4(X92) ) ) )
& ? [X86] :
( ~ p2(X86)
& ~ p1(X86)
& ~ p3(X86)
& r1(X85,X86)
& ? [X87] : r1(X86,X87)
& ~ p4(X86) )
& ~ p1(X85) )
| p2(X0)
| p1(X0) )
& ( ( ( p2(X0)
| ? [X42] :
( r1(X0,X42)
& ? [X43] :
( r1(X42,X43)
& ~ p2(X43) )
& p2(X42) ) )
& ( ! [X47] :
( ! [X48] :
( ? [X49] :
( p2(X49)
& r1(X48,X49)
& ? [X50] :
( r1(X49,X50)
& ~ p2(X50) ) )
| p2(X48)
| ~ r1(X47,X48) )
| ~ r1(X0,X47) )
| ? [X44] :
( ! [X45] :
( ~ p2(X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ r1(X44,X45) )
& r1(X0,X44)
& ~ p2(X44) ) ) )
| ? [X12] :
( ! [X22] :
( ( ? [X23] :
( ? [X24] :
( ! [X25] :
( ~ r1(X24,X25)
| ~ p2(X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) ) )
& ~ p2(X24)
& r1(X23,X24) )
& r1(X22,X23) )
& ! [X27] :
( p2(X27)
| ~ r1(X22,X27)
| ? [X28] :
( ? [X29] :
( r1(X28,X29)
& ~ p2(X29) )
& r1(X27,X28)
& p2(X28) ) ) )
| ( ~ p2(X22)
& ! [X30] :
( ~ p2(X30)
| ~ r1(X22,X30)
| ! [X31] :
( p2(X31)
| ~ r1(X30,X31) ) ) )
| ~ r1(X12,X22)
| ! [X32] :
( ~ r1(X22,X32)
| ( ( p2(X32)
| ? [X40] :
( ? [X41] :
( ~ p2(X41)
& r1(X40,X41) )
& p2(X40)
& r1(X32,X40) ) )
& ( ? [X37] :
( ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
& ~ p2(X37)
& r1(X32,X37) )
| ! [X33] :
( ! [X34] :
( p2(X34)
| ~ r1(X33,X34)
| ? [X35] :
( ? [X36] :
( ~ p2(X36)
& r1(X35,X36) )
& p2(X35)
& r1(X34,X35) ) )
| ~ r1(X32,X33) ) ) ) ) )
& r1(X0,X12)
& ( ( ! [X13] :
( ~ p2(X13)
| ~ r1(X12,X13)
| ! [X14] :
( ~ r1(X13,X14)
| p2(X14) ) )
& ~ p2(X12) )
| ( ? [X15] :
( r1(X12,X15)
& ? [X16] :
( r1(X15,X16)
& ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| p2(X18) )
| ~ p2(X17) )
& ~ p2(X16) ) )
& ! [X19] :
( ? [X20] :
( p2(X20)
& ? [X21] :
( ~ p2(X21)
& r1(X20,X21) )
& r1(X19,X20) )
| p2(X19)
| ~ r1(X12,X19) ) ) ) ) )
& ( p1(X0)
| ! [X76] : ~ r1(X0,X76)
| ? [X77] :
( ? [X82] : r1(X77,X82)
& r1(X0,X77)
& ! [X78] :
( ~ r1(X77,X78)
| ! [X80] :
( ~ r1(X78,X80)
| p1(X80)
| ! [X81] : ~ r1(X80,X81) )
| ( ? [X79] : r1(X78,X79)
& ~ p1(X78) ) )
& ~ p1(X77) ) )
& ( p1(X0)
| p2(X0)
| ? [X69] :
( ? [X70] : r1(X69,X70)
& ~ p1(X69)
& ! [X71] :
( ( ~ p1(X71)
& ~ p2(X71)
& ? [X72] : r1(X71,X72) )
| ! [X73] :
( p1(X73)
| ! [X74] : ~ r1(X73,X74)
| ~ r1(X71,X73)
| p2(X73) )
| ~ r1(X69,X71) )
& ~ p2(X69)
& r1(X0,X69) )
| ! [X75] : ~ r1(X0,X75) )
& ( p3(X0)
| p2(X0)
| ! [X68] : ~ r1(X0,X68)
| ? [X62] :
( ? [X67] : r1(X62,X67)
& ~ p1(X62)
& r1(X0,X62)
& ~ p3(X62)
& ! [X63] :
( ! [X65] :
( p3(X65)
| ! [X66] : ~ r1(X65,X66)
| p2(X65)
| ~ r1(X63,X65)
| p1(X65) )
| ( ~ p1(X63)
& ~ p3(X63)
& ? [X64] : r1(X63,X64)
& ~ p2(X63) )
| ~ r1(X62,X63) )
& ~ p2(X62) )
| p1(X0) )
& ! [X94] :
( ? [X95] :
( ! [X96] :
( ! [X97] :
( p2(X97)
| ~ r1(X96,X97) )
| ~ p2(X96)
| ~ r1(X95,X96) )
& r1(X94,X95)
& ~ p2(X95) )
| p2(X94)
| ~ r1(X0,X94) )
& ( p3(X0)
| ! [X51] :
( p3(X51)
| p4(X51)
| ! [X52] : ~ r1(X51,X52)
| ~ r1(X0,X51)
| p1(X51)
| p2(X51) )
| ? [X53] :
( ~ p3(X53)
& r1(X0,X53)
& ? [X60] :
( ? [X61] : r1(X60,X61)
& ~ p2(X60)
& r1(X53,X60)
& ~ p1(X60)
& ~ p4(X60)
& ~ p3(X60) )
& ~ p2(X53)
& ~ p4(X53)
& ! [X54] :
( ( ~ p1(X54)
& ? [X55] :
( r1(X54,X55)
& ~ p2(X55)
& ~ p4(X55)
& ~ p1(X55)
& ? [X56] : r1(X55,X56)
& ~ p3(X55) )
& ~ p2(X54)
& ~ p3(X54)
& ~ p4(X54) )
| ~ r1(X53,X54)
| ! [X57] :
( ! [X58] :
( p1(X58)
| ~ r1(X57,X58)
| p2(X58)
| p4(X58)
| p3(X58)
| ! [X59] : ~ r1(X58,X59) )
| p3(X57)
| p4(X57)
| p2(X57)
| p1(X57)
| ~ r1(X54,X57) ) )
& ~ p1(X53) )
| p1(X0)
| p2(X0)
| p4(X0) )
& ( ? [X107] :
( ~ p1(X107)
& ? [X108] :
( ~ p3(X108)
& ~ p4(X108)
& ~ p2(X108)
& ? [X109] : r1(X108,X109)
& ~ p1(X108)
& r1(X107,X108) )
& r1(X0,X107)
& ! [X110] :
( ( ~ p1(X110)
& ? [X114] :
( ~ p3(X114)
& r1(X110,X114)
& ~ p2(X114)
& ~ p1(X114)
& ~ p4(X114)
& ? [X115] : r1(X114,X115) ) )
| ~ r1(X107,X110)
| ! [X111] :
( p1(X111)
| ! [X112] :
( p1(X112)
| p3(X112)
| p2(X112)
| p4(X112)
| ~ r1(X111,X112)
| ! [X113] : ~ r1(X112,X113) )
| ~ r1(X110,X111) ) ) )
| p1(X0)
| ! [X105] :
( p1(X105)
| p3(X105)
| p2(X105)
| ! [X106] : ~ r1(X105,X106)
| ~ r1(X0,X105)
| p4(X105) ) )
& ! [X140] :
( ? [X141] :
( r1(X140,X141)
& ? [X142] :
( ~ p1(X142)
& r1(X141,X142) )
& p1(X141) )
| ~ r1(X0,X140)
| p1(X140) )
& ! [X131] :
( ? [X132] :
( r1(X131,X132)
& ? [X133] :
( ~ p2(X133)
& r1(X132,X133) )
& p2(X132) )
| p2(X131)
| ~ r1(X0,X131) )
& ? [X134] :
( r1(X0,X134)
& ~ p3(X134) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
? [X0] :
~ ( ! [X139] :
( ~ r1(X0,X139)
| p1(X139) )
| ~ ! [X136] :
( ~ r1(X0,X136)
| p3(X136)
| ~ ! [X137] :
( ! [X138] :
( ~ r1(X137,X138)
| p3(X138) )
| ~ r1(X136,X137)
| ~ p3(X137) ) )
| ! [X135] :
( ~ r1(X0,X135)
| p2(X135) )
| ~ ( ( p1(X0)
| ! [X116] :
( ~ r1(X0,X116)
| p1(X116)
| p4(X116)
| p2(X116)
| p3(X116)
| ! [X117] :
( p4(X117)
| ! [X118] : ~ r1(X117,X118)
| p2(X117)
| p1(X117)
| ~ r1(X116,X117)
| p3(X117) ) )
| ~ ! [X119] :
( ~ r1(X0,X119)
| ~ ! [X123] :
( ~ r1(X119,X123)
| ! [X127] :
( ! [X128] :
( p2(X128)
| ! [X129] :
( ~ r1(X128,X129)
| p3(X129)
| p4(X129)
| ! [X130] : ~ r1(X129,X130)
| p2(X129)
| p1(X129) )
| ~ r1(X127,X128)
| p1(X128)
| p3(X128)
| p4(X128) )
| p1(X127)
| ~ r1(X123,X127) )
| ~ ( ! [X124] :
( p3(X124)
| p1(X124)
| p2(X124)
| ~ r1(X123,X124)
| p4(X124)
| ! [X125] :
( p1(X125)
| p2(X125)
| ~ r1(X124,X125)
| p4(X125)
| ! [X126] : ~ r1(X125,X126)
| p3(X125) ) )
| p1(X123) ) )
| ! [X120] :
( p1(X120)
| p2(X120)
| p4(X120)
| ! [X121] :
( p2(X121)
| p4(X121)
| ~ r1(X120,X121)
| ! [X122] : ~ r1(X121,X122)
| p1(X121)
| p3(X121) )
| ~ r1(X119,X120)
| p3(X120) )
| p1(X119) ) )
& ( p1(X0)
| p4(X0)
| ! [X104] : ~ r1(X0,X104)
| p2(X0)
| ~ ! [X98] :
( ~ r1(X0,X98)
| p2(X98)
| ~ ! [X99] :
( ~ r1(X98,X99)
| ~ ( p2(X99)
| p3(X99)
| ! [X100] : ~ r1(X99,X100)
| p1(X99)
| p4(X99) )
| ! [X101] :
( p2(X101)
| ! [X102] : ~ r1(X101,X102)
| p1(X101)
| p3(X101)
| p4(X101)
| ~ r1(X99,X101) ) )
| p4(X98)
| ! [X103] : ~ r1(X98,X103)
| p3(X98)
| p1(X98) )
| p3(X0) )
& ( ~ ! [X3] :
( p2(X3)
| p3(X3)
| ~ ! [X6] :
( ~ r1(X3,X6)
| ~ ( ! [X7] :
( p4(X7)
| p2(X7)
| p1(X7)
| p3(X7)
| ! [X8] : ~ r1(X7,X8)
| ~ r1(X6,X7) )
| p2(X6)
| p1(X6)
| p3(X6) )
| ! [X9] :
( p1(X9)
| ! [X10] :
( ! [X11] : ~ r1(X10,X11)
| ~ r1(X9,X10)
| p1(X10)
| p4(X10)
| p2(X10)
| p3(X10) )
| p2(X9)
| p3(X9)
| ~ r1(X6,X9) ) )
| p1(X3)
| ! [X4] :
( p1(X4)
| ~ r1(X3,X4)
| p3(X4)
| p4(X4)
| p2(X4)
| ! [X5] : ~ r1(X4,X5) )
| ~ r1(X0,X3) )
| p1(X0)
| p2(X0)
| p3(X0)
| ! [X1] :
( p2(X1)
| p1(X1)
| p4(X1)
| ! [X2] : ~ r1(X1,X2)
| p3(X1)
| ~ r1(X0,X1) ) )
& ( ! [X83] :
( ! [X84] : ~ r1(X83,X84)
| p1(X83)
| p3(X83)
| p4(X83)
| ~ r1(X0,X83)
| p2(X83) )
| ~ ! [X85] :
( ~ r1(X0,X85)
| p1(X85)
| p2(X85)
| ~ ! [X88] :
( ! [X89] :
( p1(X89)
| ! [X90] :
( p2(X90)
| p3(X90)
| ~ r1(X89,X90)
| p4(X90)
| p1(X90)
| ! [X91] : ~ r1(X90,X91) )
| ~ r1(X88,X89)
| p2(X89) )
| ~ ( p2(X88)
| p1(X88)
| ! [X92] :
( p3(X92)
| p1(X92)
| ! [X93] : ~ r1(X92,X93)
| p4(X92)
| ~ r1(X88,X92)
| p2(X92) ) )
| ~ r1(X85,X88) )
| ! [X86] :
( ! [X87] : ~ r1(X86,X87)
| p1(X86)
| p2(X86)
| ~ r1(X85,X86)
| p4(X86)
| p3(X86) ) )
| p1(X0)
| p2(X0) )
& ( ( ( ~ ! [X44] :
( ~ ! [X45] :
( ~ p2(X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ r1(X44,X45) )
| p2(X44)
| ~ r1(X0,X44) )
| ! [X47] :
( ! [X48] :
( p2(X48)
| ~ r1(X47,X48)
| ~ ! [X49] :
( ~ p2(X49)
| ! [X50] :
( p2(X50)
| ~ r1(X49,X50) )
| ~ r1(X48,X49) ) )
| ~ r1(X0,X47) ) )
& ( ~ ! [X42] :
( ~ r1(X0,X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ p2(X42) )
| p2(X0) ) )
| ~ ! [X12] :
( ~ ! [X22] :
( ~ ( ( ~ ! [X27] :
( ~ ! [X28] :
( ! [X29] :
( ~ r1(X28,X29)
| p2(X29) )
| ~ r1(X27,X28)
| ~ p2(X28) )
| ~ r1(X22,X27)
| p2(X27) )
| ! [X23] :
( ! [X24] :
( ~ r1(X23,X24)
| ~ ! [X25] :
( ~ r1(X24,X25)
| ~ p2(X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) ) )
| p2(X24) )
| ~ r1(X22,X23) ) )
& ( p2(X22)
| ~ ! [X30] :
( ~ p2(X30)
| ~ r1(X22,X30)
| ! [X31] :
( p2(X31)
| ~ r1(X30,X31) ) ) ) )
| ~ r1(X12,X22)
| ! [X32] :
( ( ( ~ ! [X40] :
( ! [X41] :
( ~ r1(X40,X41)
| p2(X41) )
| ~ r1(X32,X40)
| ~ p2(X40) )
| p2(X32) )
& ( ~ ! [X37] :
( p2(X37)
| ~ ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X32,X37) )
| ! [X33] :
( ~ r1(X32,X33)
| ! [X34] :
( ~ r1(X33,X34)
| ~ ! [X35] :
( ~ r1(X34,X35)
| ~ p2(X35)
| ! [X36] :
( ~ r1(X35,X36)
| p2(X36) ) )
| p2(X34) ) ) ) )
| ~ r1(X22,X32) ) )
| ~ r1(X0,X12)
| ( ( ! [X15] :
( ~ r1(X12,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ~ ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| p2(X18) )
| ~ p2(X17) )
| p2(X16) ) )
| ~ ! [X19] :
( p2(X19)
| ~ ! [X20] :
( ~ r1(X19,X20)
| ~ p2(X20)
| ! [X21] :
( ~ r1(X20,X21)
| p2(X21) ) )
| ~ r1(X12,X19) ) )
& ( p2(X12)
| ~ ! [X13] :
( ~ p2(X13)
| ~ r1(X12,X13)
| ! [X14] :
( ~ r1(X13,X14)
| p2(X14) ) ) ) ) ) )
& ( ! [X76] : ~ r1(X0,X76)
| p1(X0)
| ~ ! [X77] :
( ! [X82] : ~ r1(X77,X82)
| p1(X77)
| ~ r1(X0,X77)
| ~ ! [X78] :
( ~ ( p1(X78)
| ! [X79] : ~ r1(X78,X79) )
| ~ r1(X77,X78)
| ! [X80] :
( ~ r1(X78,X80)
| p1(X80)
| ! [X81] : ~ r1(X80,X81) ) ) ) )
& ( p2(X0)
| p1(X0)
| ~ ! [X69] :
( p2(X69)
| ~ r1(X0,X69)
| ~ ! [X71] :
( ~ r1(X69,X71)
| ! [X73] :
( p1(X73)
| ! [X74] : ~ r1(X73,X74)
| ~ r1(X71,X73)
| p2(X73) )
| ~ ( p1(X71)
| p2(X71)
| ! [X72] : ~ r1(X71,X72) ) )
| p1(X69)
| ! [X70] : ~ r1(X69,X70) )
| ! [X75] : ~ r1(X0,X75) )
& ( p3(X0)
| ! [X68] : ~ r1(X0,X68)
| p2(X0)
| ~ ! [X62] :
( ~ ! [X63] :
( ! [X65] :
( p3(X65)
| ! [X66] : ~ r1(X65,X66)
| p2(X65)
| ~ r1(X63,X65)
| p1(X65) )
| ~ ( ! [X64] : ~ r1(X63,X64)
| p3(X63)
| p2(X63)
| p1(X63) )
| ~ r1(X62,X63) )
| ! [X67] : ~ r1(X62,X67)
| p1(X62)
| p2(X62)
| p3(X62)
| ~ r1(X0,X62) )
| p1(X0) )
& ! [X94] :
( p2(X94)
| ~ ! [X95] :
( ~ r1(X94,X95)
| ~ ! [X96] :
( ! [X97] :
( p2(X97)
| ~ r1(X96,X97) )
| ~ p2(X96)
| ~ r1(X95,X96) )
| p2(X95) )
| ~ r1(X0,X94) )
& ( p4(X0)
| p1(X0)
| ! [X51] :
( p3(X51)
| p4(X51)
| ! [X52] : ~ r1(X51,X52)
| ~ r1(X0,X51)
| p1(X51)
| p2(X51) )
| p3(X0)
| ~ ! [X53] :
( p4(X53)
| p1(X53)
| ~ r1(X0,X53)
| ~ ! [X54] :
( ~ ( p2(X54)
| p3(X54)
| ! [X55] :
( ~ r1(X54,X55)
| p2(X55)
| p3(X55)
| ! [X56] : ~ r1(X55,X56)
| p1(X55)
| p4(X55) )
| p4(X54)
| p1(X54) )
| ~ r1(X53,X54)
| ! [X57] :
( ! [X58] :
( p1(X58)
| ~ r1(X57,X58)
| p2(X58)
| p4(X58)
| p3(X58)
| ! [X59] : ~ r1(X58,X59) )
| p3(X57)
| p4(X57)
| p2(X57)
| p1(X57)
| ~ r1(X54,X57) ) )
| ! [X60] :
( p4(X60)
| ~ r1(X53,X60)
| p1(X60)
| p3(X60)
| p2(X60)
| ! [X61] : ~ r1(X60,X61) )
| p3(X53)
| p2(X53) )
| p2(X0) )
& ( ~ ! [X107] :
( ~ ! [X110] :
( ! [X111] :
( p1(X111)
| ! [X112] :
( p1(X112)
| p3(X112)
| p2(X112)
| p4(X112)
| ~ r1(X111,X112)
| ! [X113] : ~ r1(X112,X113) )
| ~ r1(X110,X111) )
| ~ r1(X107,X110)
| ~ ( p1(X110)
| ! [X114] :
( ~ r1(X110,X114)
| p1(X114)
| ! [X115] : ~ r1(X114,X115)
| p4(X114)
| p2(X114)
| p3(X114) ) ) )
| ~ r1(X0,X107)
| p1(X107)
| ! [X108] :
( p3(X108)
| ! [X109] : ~ r1(X108,X109)
| p1(X108)
| p4(X108)
| ~ r1(X107,X108)
| p2(X108) ) )
| ! [X105] :
( p1(X105)
| p3(X105)
| p2(X105)
| ! [X106] : ~ r1(X105,X106)
| ~ r1(X0,X105)
| p4(X105) )
| p1(X0) ) )
| ~ ! [X140] :
( p1(X140)
| ~ ! [X141] :
( ! [X142] :
( ~ r1(X141,X142)
| p1(X142) )
| ~ p1(X141)
| ~ r1(X140,X141) )
| ~ r1(X0,X140) )
| ~ ! [X131] :
( ~ ! [X132] :
( ~ r1(X131,X132)
| ~ p2(X132)
| ! [X133] :
( p2(X133)
| ~ r1(X132,X133) ) )
| p2(X131)
| ~ r1(X0,X131) )
| ! [X134] :
( ~ r1(X0,X134)
| p3(X134) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ! [X139] :
( ~ r1(X0,X139)
| p1(X139) )
| ~ ! [X136] :
( ~ r1(X0,X136)
| p3(X136)
| ~ ! [X137] :
( ! [X138] :
( ~ r1(X137,X138)
| p3(X138) )
| ~ r1(X136,X137)
| ~ p3(X137) ) )
| ! [X135] :
( ~ r1(X0,X135)
| p2(X135) )
| ~ ( ( p1(X0)
| ! [X116] :
( ~ r1(X0,X116)
| p1(X116)
| p4(X116)
| p2(X116)
| p3(X116)
| ! [X117] :
( p4(X117)
| ! [X118] : ~ r1(X117,X118)
| p2(X117)
| p1(X117)
| ~ r1(X116,X117)
| p3(X117) ) )
| ~ ! [X119] :
( ~ r1(X0,X119)
| ~ ! [X123] :
( ~ r1(X119,X123)
| ! [X127] :
( ! [X128] :
( p2(X128)
| ! [X129] :
( ~ r1(X128,X129)
| p3(X129)
| p4(X129)
| ! [X130] : ~ r1(X129,X130)
| p2(X129)
| p1(X129) )
| ~ r1(X127,X128)
| p1(X128)
| p3(X128)
| p4(X128) )
| p1(X127)
| ~ r1(X123,X127) )
| ~ ( ! [X124] :
( p3(X124)
| p1(X124)
| p2(X124)
| ~ r1(X123,X124)
| p4(X124)
| ! [X125] :
( p1(X125)
| p2(X125)
| ~ r1(X124,X125)
| p4(X125)
| ! [X126] : ~ r1(X125,X126)
| p3(X125) ) )
| p1(X123) ) )
| ! [X120] :
( p1(X120)
| p2(X120)
| p4(X120)
| ! [X121] :
( p2(X121)
| p4(X121)
| ~ r1(X120,X121)
| ! [X122] : ~ r1(X121,X122)
| p1(X121)
| p3(X121) )
| ~ r1(X119,X120)
| p3(X120) )
| p1(X119) ) )
& ( p1(X0)
| p4(X0)
| ! [X104] : ~ r1(X0,X104)
| p2(X0)
| ~ ! [X98] :
( ~ r1(X0,X98)
| p2(X98)
| ~ ! [X99] :
( ~ r1(X98,X99)
| ~ ( p2(X99)
| p3(X99)
| ! [X100] : ~ r1(X99,X100)
| p1(X99)
| p4(X99) )
| ! [X101] :
( p2(X101)
| ! [X102] : ~ r1(X101,X102)
| p1(X101)
| p3(X101)
| p4(X101)
| ~ r1(X99,X101) ) )
| p4(X98)
| ! [X103] : ~ r1(X98,X103)
| p3(X98)
| p1(X98) )
| p3(X0) )
& ( ~ ! [X3] :
( p2(X3)
| p3(X3)
| ~ ! [X6] :
( ~ r1(X3,X6)
| ~ ( ! [X7] :
( p4(X7)
| p2(X7)
| p1(X7)
| p3(X7)
| ! [X8] : ~ r1(X7,X8)
| ~ r1(X6,X7) )
| p2(X6)
| p1(X6)
| p3(X6) )
| ! [X9] :
( p1(X9)
| ! [X10] :
( ! [X11] : ~ r1(X10,X11)
| ~ r1(X9,X10)
| p1(X10)
| p4(X10)
| p2(X10)
| p3(X10) )
| p2(X9)
| p3(X9)
| ~ r1(X6,X9) ) )
| p1(X3)
| ! [X4] :
( p1(X4)
| ~ r1(X3,X4)
| p3(X4)
| p4(X4)
| p2(X4)
| ! [X5] : ~ r1(X4,X5) )
| ~ r1(X0,X3) )
| p1(X0)
| p2(X0)
| p3(X0)
| ! [X1] :
( p2(X1)
| p1(X1)
| p4(X1)
| ! [X2] : ~ r1(X1,X2)
| p3(X1)
| ~ r1(X0,X1) ) )
& ( ! [X83] :
( ! [X84] : ~ r1(X83,X84)
| p1(X83)
| p3(X83)
| p4(X83)
| ~ r1(X0,X83)
| p2(X83) )
| ~ ! [X85] :
( ~ r1(X0,X85)
| p1(X85)
| p2(X85)
| ~ ! [X88] :
( ! [X89] :
( p1(X89)
| ! [X90] :
( p2(X90)
| p3(X90)
| ~ r1(X89,X90)
| p4(X90)
| p1(X90)
| ! [X91] : ~ r1(X90,X91) )
| ~ r1(X88,X89)
| p2(X89) )
| ~ ( p2(X88)
| p1(X88)
| ! [X92] :
( p3(X92)
| p1(X92)
| ! [X93] : ~ r1(X92,X93)
| p4(X92)
| ~ r1(X88,X92)
| p2(X92) ) )
| ~ r1(X85,X88) )
| ! [X86] :
( ! [X87] : ~ r1(X86,X87)
| p1(X86)
| p2(X86)
| ~ r1(X85,X86)
| p4(X86)
| p3(X86) ) )
| p1(X0)
| p2(X0) )
& ( ( ( ~ ! [X44] :
( ~ ! [X45] :
( ~ p2(X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ r1(X44,X45) )
| p2(X44)
| ~ r1(X0,X44) )
| ! [X47] :
( ! [X48] :
( p2(X48)
| ~ r1(X47,X48)
| ~ ! [X49] :
( ~ p2(X49)
| ! [X50] :
( p2(X50)
| ~ r1(X49,X50) )
| ~ r1(X48,X49) ) )
| ~ r1(X0,X47) ) )
& ( ~ ! [X42] :
( ~ r1(X0,X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ p2(X42) )
| p2(X0) ) )
| ~ ! [X12] :
( ~ ! [X22] :
( ~ ( ( ~ ! [X27] :
( ~ ! [X28] :
( ! [X29] :
( ~ r1(X28,X29)
| p2(X29) )
| ~ r1(X27,X28)
| ~ p2(X28) )
| ~ r1(X22,X27)
| p2(X27) )
| ! [X23] :
( ! [X24] :
( ~ r1(X23,X24)
| ~ ! [X25] :
( ~ r1(X24,X25)
| ~ p2(X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) ) )
| p2(X24) )
| ~ r1(X22,X23) ) )
& ( p2(X22)
| ~ ! [X30] :
( ~ p2(X30)
| ~ r1(X22,X30)
| ! [X31] :
( p2(X31)
| ~ r1(X30,X31) ) ) ) )
| ~ r1(X12,X22)
| ! [X32] :
( ( ( ~ ! [X40] :
( ! [X41] :
( ~ r1(X40,X41)
| p2(X41) )
| ~ r1(X32,X40)
| ~ p2(X40) )
| p2(X32) )
& ( ~ ! [X37] :
( p2(X37)
| ~ ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X32,X37) )
| ! [X33] :
( ~ r1(X32,X33)
| ! [X34] :
( ~ r1(X33,X34)
| ~ ! [X35] :
( ~ r1(X34,X35)
| ~ p2(X35)
| ! [X36] :
( ~ r1(X35,X36)
| p2(X36) ) )
| p2(X34) ) ) ) )
| ~ r1(X22,X32) ) )
| ~ r1(X0,X12)
| ( ( ! [X15] :
( ~ r1(X12,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ~ ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| p2(X18) )
| ~ p2(X17) )
| p2(X16) ) )
| ~ ! [X19] :
( p2(X19)
| ~ ! [X20] :
( ~ r1(X19,X20)
| ~ p2(X20)
| ! [X21] :
( ~ r1(X20,X21)
| p2(X21) ) )
| ~ r1(X12,X19) ) )
& ( p2(X12)
| ~ ! [X13] :
( ~ p2(X13)
| ~ r1(X12,X13)
| ! [X14] :
( ~ r1(X13,X14)
| p2(X14) ) ) ) ) ) )
& ( ! [X76] : ~ r1(X0,X76)
| p1(X0)
| ~ ! [X77] :
( ! [X82] : ~ r1(X77,X82)
| p1(X77)
| ~ r1(X0,X77)
| ~ ! [X78] :
( ~ ( p1(X78)
| ! [X79] : ~ r1(X78,X79) )
| ~ r1(X77,X78)
| ! [X80] :
( ~ r1(X78,X80)
| p1(X80)
| ! [X81] : ~ r1(X80,X81) ) ) ) )
& ( p2(X0)
| p1(X0)
| ~ ! [X69] :
( p2(X69)
| ~ r1(X0,X69)
| ~ ! [X71] :
( ~ r1(X69,X71)
| ! [X73] :
( p1(X73)
| ! [X74] : ~ r1(X73,X74)
| ~ r1(X71,X73)
| p2(X73) )
| ~ ( p1(X71)
| p2(X71)
| ! [X72] : ~ r1(X71,X72) ) )
| p1(X69)
| ! [X70] : ~ r1(X69,X70) )
| ! [X75] : ~ r1(X0,X75) )
& ( p3(X0)
| ! [X68] : ~ r1(X0,X68)
| p2(X0)
| ~ ! [X62] :
( ~ ! [X63] :
( ! [X65] :
( p3(X65)
| ! [X66] : ~ r1(X65,X66)
| p2(X65)
| ~ r1(X63,X65)
| p1(X65) )
| ~ ( ! [X64] : ~ r1(X63,X64)
| p3(X63)
| p2(X63)
| p1(X63) )
| ~ r1(X62,X63) )
| ! [X67] : ~ r1(X62,X67)
| p1(X62)
| p2(X62)
| p3(X62)
| ~ r1(X0,X62) )
| p1(X0) )
& ! [X94] :
( p2(X94)
| ~ ! [X95] :
( ~ r1(X94,X95)
| ~ ! [X96] :
( ! [X97] :
( p2(X97)
| ~ r1(X96,X97) )
| ~ p2(X96)
| ~ r1(X95,X96) )
| p2(X95) )
| ~ r1(X0,X94) )
& ( p4(X0)
| p1(X0)
| ! [X51] :
( p3(X51)
| p4(X51)
| ! [X52] : ~ r1(X51,X52)
| ~ r1(X0,X51)
| p1(X51)
| p2(X51) )
| p3(X0)
| ~ ! [X53] :
( p4(X53)
| p1(X53)
| ~ r1(X0,X53)
| ~ ! [X54] :
( ~ ( p2(X54)
| p3(X54)
| ! [X55] :
( ~ r1(X54,X55)
| p2(X55)
| p3(X55)
| ! [X56] : ~ r1(X55,X56)
| p1(X55)
| p4(X55) )
| p4(X54)
| p1(X54) )
| ~ r1(X53,X54)
| ! [X57] :
( ! [X58] :
( p1(X58)
| ~ r1(X57,X58)
| p2(X58)
| p4(X58)
| p3(X58)
| ! [X59] : ~ r1(X58,X59) )
| p3(X57)
| p4(X57)
| p2(X57)
| p1(X57)
| ~ r1(X54,X57) ) )
| ! [X60] :
( p4(X60)
| ~ r1(X53,X60)
| p1(X60)
| p3(X60)
| p2(X60)
| ! [X61] : ~ r1(X60,X61) )
| p3(X53)
| p2(X53) )
| p2(X0) )
& ( ~ ! [X107] :
( ~ ! [X110] :
( ! [X111] :
( p1(X111)
| ! [X112] :
( p1(X112)
| p3(X112)
| p2(X112)
| p4(X112)
| ~ r1(X111,X112)
| ! [X113] : ~ r1(X112,X113) )
| ~ r1(X110,X111) )
| ~ r1(X107,X110)
| ~ ( p1(X110)
| ! [X114] :
( ~ r1(X110,X114)
| p1(X114)
| ! [X115] : ~ r1(X114,X115)
| p4(X114)
| p2(X114)
| p3(X114) ) ) )
| ~ r1(X0,X107)
| p1(X107)
| ! [X108] :
( p3(X108)
| ! [X109] : ~ r1(X108,X109)
| p1(X108)
| p4(X108)
| ~ r1(X107,X108)
| p2(X108) ) )
| ! [X105] :
( p1(X105)
| p3(X105)
| p2(X105)
| ! [X106] : ~ r1(X105,X106)
| ~ r1(X0,X105)
| p4(X105) )
| p1(X0) ) )
| ~ ! [X140] :
( p1(X140)
| ~ ! [X141] :
( ! [X142] :
( ~ r1(X141,X142)
| p1(X142) )
| ~ p1(X141)
| ~ r1(X140,X141) )
| ~ r1(X0,X140) )
| ~ ! [X131] :
( ~ ! [X132] :
( ~ r1(X131,X132)
| ~ p2(X132)
| ! [X133] :
( p2(X133)
| ~ r1(X132,X133) ) )
| p2(X131)
| ~ r1(X0,X131) )
| ! [X134] :
( ~ r1(X0,X134)
| p3(X134) ) ),
inference(true_and_false_elimination,[],[f3]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ~ ( ( p2(X0)
| ! [X1] :
( p4(X1)
| p1(X1)
| ~ r1(X0,X1)
| ! [X2] :
( $false
| ~ r1(X1,X2) )
| p3(X1)
| p2(X1) )
| ~ ! [X3] :
( p1(X3)
| ! [X4] :
( ~ r1(X3,X4)
| p4(X4)
| p3(X4)
| p1(X4)
| ! [X5] :
( ~ r1(X4,X5)
| $false )
| p2(X4) )
| p3(X3)
| ~ r1(X0,X3)
| ~ ! [X6] :
( ~ ( ! [X7] :
( p4(X7)
| ~ r1(X6,X7)
| p3(X7)
| p2(X7)
| ! [X8] :
( $false
| ~ r1(X7,X8) )
| p1(X7) )
| p2(X6)
| p1(X6)
| p3(X6) )
| ! [X9] :
( p1(X9)
| ! [X10] :
( p1(X10)
| ! [X11] :
( ~ r1(X10,X11)
| $false )
| p2(X10)
| ~ r1(X9,X10)
| p4(X10)
| p3(X10) )
| ~ r1(X6,X9)
| p3(X9)
| p2(X9) )
| ~ r1(X3,X6) )
| p2(X3) )
| p1(X0)
| p3(X0) )
& ( ( ( ~ ! [X44] :
( ~ ! [X45] :
( ~ p2(X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ r1(X44,X45) )
| p2(X44)
| ~ r1(X0,X44) )
| ! [X47] :
( ! [X48] :
( p2(X48)
| ~ r1(X47,X48)
| ~ ! [X49] :
( ~ p2(X49)
| ! [X50] :
( p2(X50)
| ~ r1(X49,X50) )
| ~ r1(X48,X49) ) )
| ~ r1(X0,X47) ) )
& ( ~ ! [X42] :
( ~ r1(X0,X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ p2(X42) )
| p2(X0) ) )
| ~ ! [X12] :
( ~ ! [X22] :
( ~ ( ( ~ ! [X27] :
( ~ ! [X28] :
( ! [X29] :
( ~ r1(X28,X29)
| p2(X29) )
| ~ r1(X27,X28)
| ~ p2(X28) )
| ~ r1(X22,X27)
| p2(X27) )
| ! [X23] :
( ! [X24] :
( ~ r1(X23,X24)
| ~ ! [X25] :
( ~ r1(X24,X25)
| ~ p2(X25)
| ! [X26] :
( ~ r1(X25,X26)
| p2(X26) ) )
| p2(X24) )
| ~ r1(X22,X23) ) )
& ( p2(X22)
| ~ ! [X30] :
( ~ p2(X30)
| ~ r1(X22,X30)
| ! [X31] :
( p2(X31)
| ~ r1(X30,X31) ) ) ) )
| ~ r1(X12,X22)
| ! [X32] :
( ( ( ~ ! [X40] :
( ! [X41] :
( ~ r1(X40,X41)
| p2(X41) )
| ~ r1(X32,X40)
| ~ p2(X40) )
| p2(X32) )
& ( ~ ! [X37] :
( p2(X37)
| ~ ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| ~ r1(X32,X37) )
| ! [X33] :
( ~ r1(X32,X33)
| ! [X34] :
( ~ r1(X33,X34)
| ~ ! [X35] :
( ~ r1(X34,X35)
| ~ p2(X35)
| ! [X36] :
( ~ r1(X35,X36)
| p2(X36) ) )
| p2(X34) ) ) ) )
| ~ r1(X22,X32) ) )
| ~ r1(X0,X12)
| ( ( ! [X15] :
( ~ r1(X12,X15)
| ! [X16] :
( ~ r1(X15,X16)
| ~ ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| p2(X18) )
| ~ p2(X17) )
| p2(X16) ) )
| ~ ! [X19] :
( p2(X19)
| ~ ! [X20] :
( ~ r1(X19,X20)
| ~ p2(X20)
| ! [X21] :
( ~ r1(X20,X21)
| p2(X21) ) )
| ~ r1(X12,X19) ) )
& ( p2(X12)
| ~ ! [X13] :
( ~ p2(X13)
| ~ r1(X12,X13)
| ! [X14] :
( ~ r1(X13,X14)
| p2(X14) ) ) ) ) ) )
& ( p3(X0)
| ! [X51] :
( p1(X51)
| ! [X52] :
( ~ r1(X51,X52)
| $false )
| ~ r1(X0,X51)
| p2(X51)
| p3(X51)
| p4(X51) )
| p2(X0)
| ~ ! [X53] :
( p1(X53)
| ~ r1(X0,X53)
| ~ ! [X54] :
( ~ r1(X53,X54)
| ~ ( p2(X54)
| p1(X54)
| ! [X55] :
( p2(X55)
| p3(X55)
| p4(X55)
| ! [X56] :
( ~ r1(X55,X56)
| $false )
| p1(X55)
| ~ r1(X54,X55) )
| p4(X54)
| p3(X54) )
| ! [X57] :
( ! [X58] :
( ! [X59] :
( ~ r1(X58,X59)
| $false )
| p3(X58)
| p4(X58)
| p1(X58)
| p2(X58)
| ~ r1(X57,X58) )
| p4(X57)
| p3(X57)
| ~ r1(X54,X57)
| p1(X57)
| p2(X57) ) )
| p2(X53)
| p3(X53)
| p4(X53)
| ! [X60] :
( p3(X60)
| p4(X60)
| p2(X60)
| ~ r1(X53,X60)
| ! [X61] :
( ~ r1(X60,X61)
| $false )
| p1(X60) ) )
| p4(X0)
| p1(X0) )
& ( ~ ! [X62] :
( p3(X62)
| p1(X62)
| ~ ! [X63] :
( ~ ( p2(X63)
| ! [X64] :
( $false
| ~ r1(X63,X64) )
| p3(X63)
| p1(X63) )
| ~ r1(X62,X63)
| ! [X65] :
( p2(X65)
| ~ r1(X63,X65)
| p1(X65)
| ! [X66] :
( $false
| ~ r1(X65,X66) )
| p3(X65) ) )
| ! [X67] :
( ~ r1(X62,X67)
| $false )
| p2(X62)
| ~ r1(X0,X62) )
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X68] :
( $false
| ~ r1(X0,X68) ) )
& ( ~ ! [X69] :
( ! [X70] :
( ~ r1(X69,X70)
| $false )
| ~ ! [X71] :
( ~ r1(X69,X71)
| ~ ( ! [X72] :
( ~ r1(X71,X72)
| $false )
| p2(X71)
| p1(X71) )
| ! [X73] :
( p2(X73)
| p1(X73)
| ~ r1(X71,X73)
| ! [X74] :
( $false
| ~ r1(X73,X74) ) ) )
| ~ r1(X0,X69)
| p1(X69)
| p2(X69) )
| p2(X0)
| ! [X75] :
( ~ r1(X0,X75)
| $false )
| p1(X0) )
& ( ! [X76] :
( ~ r1(X0,X76)
| $false )
| ~ ! [X77] :
( ~ ! [X78] :
( ~ ( ! [X79] :
( $false
| ~ r1(X78,X79) )
| p1(X78) )
| ~ r1(X77,X78)
| ! [X80] :
( ! [X81] :
( ~ r1(X80,X81)
| $false )
| p1(X80)
| ~ r1(X78,X80) ) )
| ~ r1(X0,X77)
| p1(X77)
| ! [X82] :
( ~ r1(X77,X82)
| $false ) )
| p1(X0) )
& ( p1(X0)
| ! [X83] :
( p2(X83)
| p4(X83)
| p3(X83)
| p1(X83)
| ! [X84] :
( $false
| ~ r1(X83,X84) )
| ~ r1(X0,X83) )
| p2(X0)
| ~ ! [X85] :
( ! [X86] :
( p2(X86)
| ~ r1(X85,X86)
| ! [X87] :
( ~ r1(X86,X87)
| $false )
| p3(X86)
| p1(X86)
| p4(X86) )
| ~ ! [X88] :
( ! [X89] :
( ~ r1(X88,X89)
| p2(X89)
| p1(X89)
| ! [X90] :
( ~ r1(X89,X90)
| p3(X90)
| ! [X91] :
( ~ r1(X90,X91)
| $false )
| p4(X90)
| p1(X90)
| p2(X90) ) )
| ~ r1(X85,X88)
| ~ ( ! [X92] :
( p2(X92)
| p3(X92)
| ~ r1(X88,X92)
| p1(X92)
| p4(X92)
| ! [X93] :
( ~ r1(X92,X93)
| $false ) )
| p2(X88)
| p1(X88) ) )
| p2(X85)
| ~ r1(X0,X85)
| p1(X85) ) )
& ! [X94] :
( p2(X94)
| ~ ! [X95] :
( ~ r1(X94,X95)
| ~ ! [X96] :
( ! [X97] :
( p2(X97)
| ~ r1(X96,X97) )
| ~ p2(X96)
| ~ r1(X95,X96) )
| p2(X95) )
| ~ r1(X0,X94) )
& ( p4(X0)
| ~ ! [X98] :
( ~ ! [X99] :
( ~ ( p1(X99)
| p4(X99)
| ! [X100] :
( ~ r1(X99,X100)
| $false )
| p2(X99)
| p3(X99) )
| ! [X101] :
( p2(X101)
| ! [X102] :
( $false
| ~ r1(X101,X102) )
| p4(X101)
| ~ r1(X99,X101)
| p1(X101)
| p3(X101) )
| ~ r1(X98,X99) )
| p1(X98)
| p4(X98)
| p2(X98)
| p3(X98)
| ! [X103] :
( $false
| ~ r1(X98,X103) )
| ~ r1(X0,X98) )
| p3(X0)
| p1(X0)
| p2(X0)
| ! [X104] :
( $false
| ~ r1(X0,X104) ) )
& ( p1(X0)
| ! [X105] :
( ! [X106] :
( ~ r1(X105,X106)
| $false )
| p1(X105)
| ~ r1(X0,X105)
| p3(X105)
| p4(X105)
| p2(X105) )
| ~ ! [X107] :
( p1(X107)
| ! [X108] :
( p2(X108)
| p1(X108)
| p3(X108)
| ! [X109] :
( $false
| ~ r1(X108,X109) )
| p4(X108)
| ~ r1(X107,X108) )
| ~ ! [X110] :
( ~ r1(X107,X110)
| ! [X111] :
( p1(X111)
| ! [X112] :
( p3(X112)
| ~ r1(X111,X112)
| p1(X112)
| p4(X112)
| ! [X113] :
( ~ r1(X112,X113)
| $false )
| p2(X112) )
| ~ r1(X110,X111) )
| ~ ( ! [X114] :
( p1(X114)
| ! [X115] :
( $false
| ~ r1(X114,X115) )
| p4(X114)
| p3(X114)
| ~ r1(X110,X114)
| p2(X114) )
| p1(X110) ) )
| ~ r1(X0,X107) ) )
& ( ! [X116] :
( ! [X117] :
( p2(X117)
| p1(X117)
| ~ r1(X116,X117)
| p4(X117)
| ! [X118] :
( $false
| ~ r1(X117,X118) )
| p3(X117) )
| p1(X116)
| p4(X116)
| ~ r1(X0,X116)
| p2(X116)
| p3(X116) )
| ~ ! [X119] :
( ~ r1(X0,X119)
| ! [X120] :
( p1(X120)
| p2(X120)
| p4(X120)
| ~ r1(X119,X120)
| p3(X120)
| ! [X121] :
( ~ r1(X120,X121)
| p2(X121)
| p4(X121)
| ! [X122] :
( $false
| ~ r1(X121,X122) )
| p3(X121)
| p1(X121) ) )
| ~ ! [X123] :
( ~ ( ! [X124] :
( p3(X124)
| p2(X124)
| p1(X124)
| ~ r1(X123,X124)
| ! [X125] :
( ~ r1(X124,X125)
| p4(X125)
| p3(X125)
| ! [X126] :
( ~ r1(X125,X126)
| $false )
| p2(X125)
| p1(X125) )
| p4(X124) )
| p1(X123) )
| ! [X127] :
( ~ r1(X123,X127)
| p1(X127)
| ! [X128] :
( p1(X128)
| ! [X129] :
( p1(X129)
| p2(X129)
| p4(X129)
| ~ r1(X128,X129)
| p3(X129)
| ! [X130] :
( $false
| ~ r1(X129,X130) ) )
| p3(X128)
| ~ r1(X127,X128)
| p2(X128)
| p4(X128) ) )
| ~ r1(X119,X123) )
| p1(X119) )
| p1(X0) ) )
| ~ ! [X131] :
( ~ ! [X132] :
( ~ r1(X131,X132)
| ~ p2(X132)
| ! [X133] :
( p2(X133)
| ~ r1(X132,X133) ) )
| p2(X131)
| ~ r1(X0,X131) )
| ! [X134] :
( ~ r1(X0,X134)
| p3(X134) )
| ! [X135] :
( ~ r1(X0,X135)
| p2(X135) )
| ~ ! [X136] :
( ~ r1(X0,X136)
| p3(X136)
| ~ ! [X137] :
( ! [X138] :
( ~ r1(X137,X138)
| p3(X138) )
| ~ r1(X136,X137)
| ~ p3(X137) ) )
| ! [X139] :
( ~ r1(X0,X139)
| p1(X139) )
| ~ ! [X140] :
( p1(X140)
| ~ ! [X141] :
( ! [X142] :
( ~ r1(X141,X142)
| p1(X142) )
| ~ p1(X141)
| ~ r1(X140,X141) )
| ~ r1(X0,X140) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( ( p2(X0)
| ! [X1] :
( p4(X1)
| p1(X1)
| ~ r1(X0,X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p3(X1)
| p2(X1) )
| ~ ! [X1] :
( p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| p3(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| p2(X0) )
| p3(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ ( ! [X1] :
( p4(X1)
| ~ r1(X0,X1)
| p3(X1)
| p2(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1) )
| p2(X0)
| p1(X0)
| p3(X0) )
| ! [X1] :
( p1(X1)
| ! [X0] :
( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| p2(X0)
| ~ r1(X1,X0)
| p4(X0)
| p3(X0) )
| ~ r1(X0,X1)
| p3(X1)
| p2(X1) )
| ~ r1(X1,X0) )
| p2(X1) )
| p1(X0)
| p3(X0) )
& ( ~ ! [X1] :
( ( ( p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ p2(X0) ) )
& ( ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ p2(X1) )
| p2(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) ) )
| p2(X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ p2(X0)
| ~ r1(X1,X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ r1(X0,X1)
| ~ p2(X1) )
| p2(X0) ) )
| ! [X1] :
( ( ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p2(X1)
| ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X0] :
( p2(X0)
| ~ r1(X1,X0)
| ~ ! [X1] :
( ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| ~ p2(X1) ) ) )
& ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
| p2(X1) ) )
| ~ r1(X0,X1) ) )
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) ) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| p2(X1) )
| ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) ) )
| p2(X0) )
| ~ r1(X0,X1) ) ) ) )
& ( p3(X0)
| ! [X1] :
( p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ r1(X0,X1)
| p2(X1)
| p3(X1)
| p4(X1) )
| p2(X0)
| ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p2(X0)
| p1(X0)
| ! [X1] :
( p2(X1)
| p3(X1)
| p4(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| p1(X1)
| ~ r1(X0,X1) )
| p4(X0)
| p3(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| $false )
| p3(X0)
| p4(X0)
| p1(X0)
| p2(X0)
| ~ r1(X1,X0) )
| p4(X1)
| p3(X1)
| ~ r1(X0,X1)
| p1(X1)
| p2(X1) ) )
| p2(X1)
| p3(X1)
| p4(X1)
| ! [X0] :
( p3(X0)
| p4(X0)
| p2(X0)
| ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| p1(X0) ) )
| p4(X0)
| p1(X0) )
& ( ~ ! [X1] :
( p3(X1)
| p1(X1)
| ~ ! [X0] :
( ~ ( p2(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p3(X0)
| p1(X0) )
| ~ r1(X1,X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p3(X1) ) )
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| p2(X1)
| ~ r1(X0,X1) )
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) ) )
& ( ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| $false )
| p2(X0)
| p1(X0) )
| ! [X1] :
( p2(X1)
| p1(X1)
| ~ r1(X0,X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1)
| p1(X1)
| p2(X1) )
| p2(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| p1(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0) )
| ~ r1(X1,X0)
| ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| $false )
| p1(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| p1(X0) )
& ( p1(X0)
| ! [X1] :
( p2(X1)
| p4(X1)
| p3(X1)
| p1(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ ! [X1] :
( ! [X0] :
( p2(X0)
| ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| p3(X0)
| p1(X0)
| p4(X0) )
| ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p3(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| p4(X0)
| p1(X0)
| p2(X0) ) )
| ~ r1(X1,X0)
| ~ ( ! [X1] :
( p2(X1)
| p3(X1)
| ~ r1(X0,X1)
| p1(X1)
| p4(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| p2(X0)
| p1(X0) ) )
| p2(X1)
| ~ r1(X0,X1)
| p1(X1) ) )
& ! [X1] :
( ~ ! [X0] :
( p2(X0)
| ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
& ( p4(X0)
| ~ ! [X1] :
( ~ ! [X0] :
( ~ ( p1(X0)
| p4(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| p2(X0)
| p3(X0) )
| ! [X1] :
( p2(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p4(X1)
| ~ r1(X0,X1)
| p1(X1)
| p3(X1) )
| ~ r1(X1,X0) )
| p1(X1)
| p4(X1)
| p2(X1)
| p3(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p3(X0)
| p1(X0)
| p2(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| $false )
| p1(X1)
| ~ r1(X0,X1)
| p3(X1)
| p4(X1)
| p2(X1) )
| ~ ! [X1] :
( p1(X1)
| ! [X0] :
( p2(X0)
| p1(X0)
| p3(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p4(X0)
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p1(X1)
| ! [X0] :
( p3(X0)
| ~ r1(X1,X0)
| p1(X0)
| p4(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| p2(X0) )
| ~ r1(X0,X1) )
| ~ ( ! [X1] :
( p1(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p4(X1)
| p3(X1)
| ~ r1(X0,X1)
| p2(X1) )
| p1(X0) ) )
| ~ r1(X0,X1) ) )
& ( ! [X1] :
( ! [X0] :
( p2(X0)
| p1(X0)
| ~ r1(X1,X0)
| p4(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p3(X0) )
| p1(X1)
| p4(X1)
| ~ r1(X0,X1)
| p2(X1)
| p3(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( p1(X0)
| p2(X0)
| p4(X0)
| ~ r1(X1,X0)
| p3(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| p4(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p3(X1)
| p1(X1) ) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p3(X1)
| p2(X1)
| p1(X1)
| ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| p3(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| p2(X0)
| p1(X0) )
| p4(X1) )
| p1(X0) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( p1(X0)
| ! [X1] :
( p1(X1)
| p2(X1)
| p4(X1)
| ~ r1(X0,X1)
| p3(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) ) )
| p3(X0)
| ~ r1(X1,X0)
| p2(X0)
| p4(X0) ) )
| ~ r1(X1,X0) )
| p1(X1) )
| p1(X0) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| ~ p2(X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( p3(X1)
| ~ ! [X0] :
( ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| ~ p3(X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( p1(X1)
| ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ ( ( p2(X0)
| ! [X1] :
( p4(X1)
| p1(X1)
| ~ r1(X0,X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p3(X1)
| p2(X1) )
| ~ ! [X1] :
( p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| p3(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| p2(X0) )
| p3(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ ( ! [X1] :
( p4(X1)
| ~ r1(X0,X1)
| p3(X1)
| p2(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1) )
| p2(X0)
| p1(X0)
| p3(X0) )
| ! [X1] :
( p1(X1)
| ! [X0] :
( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| p2(X0)
| ~ r1(X1,X0)
| p4(X0)
| p3(X0) )
| ~ r1(X0,X1)
| p3(X1)
| p2(X1) )
| ~ r1(X1,X0) )
| p2(X1) )
| p1(X0)
| p3(X0) )
& ( ~ ! [X1] :
( ( ( p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ p2(X0) ) )
& ( ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ p2(X1) )
| p2(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) ) )
| p2(X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ p2(X0)
| ~ r1(X1,X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) ) ) )
& ( ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ r1(X0,X1)
| ~ p2(X1) )
| p2(X0) ) )
| ! [X1] :
( ( ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p2(X1)
| ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X0] :
( p2(X0)
| ~ r1(X1,X0)
| ~ ! [X1] :
( ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| ~ p2(X1) ) ) )
& ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
| p2(X1) ) )
| ~ r1(X0,X1) ) )
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) ) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| p2(X1) )
| ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) ) )
| p2(X0) )
| ~ r1(X0,X1) ) ) ) )
& ( p3(X0)
| ! [X1] :
( p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ r1(X0,X1)
| p2(X1)
| p3(X1)
| p4(X1) )
| p2(X0)
| ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p2(X0)
| p1(X0)
| ! [X1] :
( p2(X1)
| p3(X1)
| p4(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| p1(X1)
| ~ r1(X0,X1) )
| p4(X0)
| p3(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| $false )
| p3(X0)
| p4(X0)
| p1(X0)
| p2(X0)
| ~ r1(X1,X0) )
| p4(X1)
| p3(X1)
| ~ r1(X0,X1)
| p1(X1)
| p2(X1) ) )
| p2(X1)
| p3(X1)
| p4(X1)
| ! [X0] :
( p3(X0)
| p4(X0)
| p2(X0)
| ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| p1(X0) ) )
| p4(X0)
| p1(X0) )
& ( ~ ! [X1] :
( p3(X1)
| p1(X1)
| ~ ! [X0] :
( ~ ( p2(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p3(X0)
| p1(X0) )
| ~ r1(X1,X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p3(X1) ) )
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| p2(X1)
| ~ r1(X0,X1) )
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) ) )
& ( ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| $false )
| p2(X0)
| p1(X0) )
| ! [X1] :
( p2(X1)
| p1(X1)
| ~ r1(X0,X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1)
| p1(X1)
| p2(X1) )
| p2(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| p1(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0) )
| ~ r1(X1,X0)
| ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| $false )
| p1(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| p1(X0) )
& ( p1(X0)
| ! [X1] :
( p2(X1)
| p4(X1)
| p3(X1)
| p1(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ ! [X1] :
( ! [X0] :
( p2(X0)
| ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| p3(X0)
| p1(X0)
| p4(X0) )
| ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p3(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| p4(X0)
| p1(X0)
| p2(X0) ) )
| ~ r1(X1,X0)
| ~ ( ! [X1] :
( p2(X1)
| p3(X1)
| ~ r1(X0,X1)
| p1(X1)
| p4(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| p2(X0)
| p1(X0) ) )
| p2(X1)
| ~ r1(X0,X1)
| p1(X1) ) )
& ! [X1] :
( ~ ! [X0] :
( p2(X0)
| ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
& ( p4(X0)
| ~ ! [X1] :
( ~ ! [X0] :
( ~ ( p1(X0)
| p4(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| p2(X0)
| p3(X0) )
| ! [X1] :
( p2(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p4(X1)
| ~ r1(X0,X1)
| p1(X1)
| p3(X1) )
| ~ r1(X1,X0) )
| p1(X1)
| p4(X1)
| p2(X1)
| p3(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p3(X0)
| p1(X0)
| p2(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| $false )
| p1(X1)
| ~ r1(X0,X1)
| p3(X1)
| p4(X1)
| p2(X1) )
| ~ ! [X1] :
( p1(X1)
| ! [X0] :
( p2(X0)
| p1(X0)
| p3(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p4(X0)
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p1(X1)
| ! [X0] :
( p3(X0)
| ~ r1(X1,X0)
| p1(X0)
| p4(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| p2(X0) )
| ~ r1(X0,X1) )
| ~ ( ! [X1] :
( p1(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p4(X1)
| p3(X1)
| ~ r1(X0,X1)
| p2(X1) )
| p1(X0) ) )
| ~ r1(X0,X1) ) )
& ( ! [X1] :
( ! [X0] :
( p2(X0)
| p1(X0)
| ~ r1(X1,X0)
| p4(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p3(X0) )
| p1(X1)
| p4(X1)
| ~ r1(X0,X1)
| p2(X1)
| p3(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( p1(X0)
| p2(X0)
| p4(X0)
| ~ r1(X1,X0)
| p3(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| p4(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p3(X1)
| p1(X1) ) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p3(X1)
| p2(X1)
| p1(X1)
| ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| p3(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| p2(X0)
| p1(X0) )
| p4(X1) )
| p1(X0) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( p1(X0)
| ! [X1] :
( p1(X1)
| p2(X1)
| p4(X1)
| ~ r1(X0,X1)
| p3(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) ) )
| p3(X0)
| ~ r1(X1,X0)
| p2(X0)
| p4(X0) ) )
| ~ r1(X1,X0) )
| p1(X1) )
| p1(X0) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| ~ p2(X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( p3(X1)
| ~ ! [X0] :
( ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| ~ p3(X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( p1(X1)
| ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f1278,plain,
( p2(sK89(sK84))
| ~ spl91_36
| ~ spl91_81
| ~ spl91_86
| ~ spl91_88 ),
inference(resolution,[],[f1277,f825]) ).
fof(f825,plain,
( r1(sK88(sK84),sK89(sK84))
| ~ spl91_86 ),
inference(avatar_component_clause,[],[f823]) ).
fof(f823,plain,
( spl91_86
<=> r1(sK88(sK84),sK89(sK84)) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_86])]) ).
fof(f1277,plain,
( ! [X0] :
( ~ r1(sK88(sK84),X0)
| p2(X0) )
| ~ spl91_36
| ~ spl91_81
| ~ spl91_88 ),
inference(subsumption_resolution,[],[f1274,f802]) ).
fof(f802,plain,
( p2(sK88(sK84))
| ~ spl91_81 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f800,plain,
( spl91_81
<=> p2(sK88(sK84)) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_81])]) ).
fof(f1274,plain,
( ! [X0] :
( ~ r1(sK88(sK84),X0)
| p2(X0)
| ~ p2(sK88(sK84)) )
| ~ spl91_36
| ~ spl91_88 ),
inference(resolution,[],[f835,f536]) ).
fof(f536,plain,
( ! [X44,X45] :
( ~ r1(sK84,X44)
| ~ r1(X44,X45)
| p2(X45)
| ~ p2(X44) )
| ~ spl91_36 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f535,plain,
( spl91_36
<=> ! [X45,X44] :
( ~ r1(sK84,X44)
| p2(X45)
| ~ p2(X44)
| ~ r1(X44,X45) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_36])]) ).
fof(f835,plain,
( r1(sK84,sK88(sK84))
| ~ spl91_88 ),
inference(avatar_component_clause,[],[f833]) ).
fof(f833,plain,
( spl91_88
<=> r1(sK84,sK88(sK84)) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_88])]) ).
fof(f1264,plain,
( ~ spl91_1
| spl91_97
| ~ spl91_98
| spl91_120
| ~ spl91_121
| ~ spl91_123
| ~ spl91_124 ),
inference(avatar_contradiction_clause,[],[f1263]) ).
fof(f1263,plain,
( $false
| ~ spl91_1
| spl91_97
| ~ spl91_98
| spl91_120
| ~ spl91_121
| ~ spl91_123
| ~ spl91_124 ),
inference(subsumption_resolution,[],[f1262,f1047]) ).
fof(f1047,plain,
( ~ p2(sK36(sK64))
| spl91_120 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f1046,plain,
( spl91_120
<=> p2(sK36(sK64)) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_120])]) ).
fof(f1262,plain,
( p2(sK36(sK64))
| ~ spl91_1
| spl91_97
| ~ spl91_98
| ~ spl91_121
| ~ spl91_123
| ~ spl91_124 ),
inference(subsumption_resolution,[],[f1261,f885]) ).
fof(f885,plain,
( r1(sK64,sK36(sK64))
| ~ spl91_98 ),
inference(avatar_component_clause,[],[f883]) ).
fof(f883,plain,
( spl91_98
<=> r1(sK64,sK36(sK64)) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_98])]) ).
fof(f1261,plain,
( ~ r1(sK64,sK36(sK64))
| p2(sK36(sK64))
| ~ spl91_1
| spl91_97
| ~ spl91_121
| ~ spl91_123
| ~ spl91_124 ),
inference(resolution,[],[f1260,f307]) ).
fof(f1260,plain,
( p2(sK89(sK36(sK64)))
| ~ spl91_1
| spl91_97
| ~ spl91_121
| ~ spl91_123
| ~ spl91_124 ),
inference(resolution,[],[f1248,f1052]) ).
fof(f1052,plain,
( r1(sK88(sK36(sK64)),sK89(sK36(sK64)))
| ~ spl91_121 ),
inference(avatar_component_clause,[],[f1050]) ).
fof(f1050,plain,
( spl91_121
<=> r1(sK88(sK36(sK64)),sK89(sK36(sK64))) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_121])]) ).
fof(f1248,plain,
( ! [X0] :
( ~ r1(sK88(sK36(sK64)),X0)
| p2(X0) )
| ~ spl91_1
| spl91_97
| ~ spl91_123
| ~ spl91_124 ),
inference(subsumption_resolution,[],[f1247,f378]) ).
fof(f378,plain,
( sP13(sK64)
| ~ spl91_1 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f376,plain,
( spl91_1
<=> sP13(sK64) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_1])]) ).
fof(f1247,plain,
( ! [X0] :
( ~ sP13(sK64)
| p2(X0)
| ~ r1(sK88(sK36(sK64)),X0) )
| spl91_97
| ~ spl91_123
| ~ spl91_124 ),
inference(subsumption_resolution,[],[f1246,f880]) ).
fof(f880,plain,
( ~ sP12(sK64)
| spl91_97 ),
inference(avatar_component_clause,[],[f879]) ).
fof(f879,plain,
( spl91_97
<=> sP12(sK64) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_97])]) ).
fof(f1246,plain,
( ! [X0] :
( p2(X0)
| sP12(sK64)
| ~ sP13(sK64)
| ~ r1(sK88(sK36(sK64)),X0) )
| ~ spl91_123
| ~ spl91_124 ),
inference(subsumption_resolution,[],[f1245,f1062]) ).
fof(f1062,plain,
( p2(sK88(sK36(sK64)))
| ~ spl91_123 ),
inference(avatar_component_clause,[],[f1060]) ).
fof(f1060,plain,
( spl91_123
<=> p2(sK88(sK36(sK64))) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_123])]) ).
fof(f1245,plain,
( ! [X0] :
( ~ p2(sK88(sK36(sK64)))
| p2(X0)
| sP12(sK64)
| ~ sP13(sK64)
| ~ r1(sK88(sK36(sK64)),X0) )
| ~ spl91_124 ),
inference(resolution,[],[f1067,f215]) ).
fof(f215,plain,
! [X0,X4,X5] :
( ~ r1(sK36(X0),X4)
| sP12(X0)
| ~ sP13(X0)
| p2(X5)
| ~ p2(X4)
| ~ r1(X4,X5) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ( ( p2(X0)
| ( r1(X0,sK34(X0))
& r1(sK34(X0),sK35(X0))
& ~ p2(sK35(X0))
& p2(sK34(X0)) ) )
& ( sP12(X0)
| ( ! [X4] :
( ~ p2(X4)
| ! [X5] :
( ~ r1(X4,X5)
| p2(X5) )
| ~ r1(sK36(X0),X4) )
& r1(X0,sK36(X0))
& ~ p2(sK36(X0)) ) ) )
| ~ sP13(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34,sK35,sK36])],[f68,f71,f70,f69]) ).
fof(f69,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ? [X2] :
( r1(X1,X2)
& ~ p2(X2) )
& p2(X1) )
=> ( r1(X0,sK34(X0))
& ? [X2] :
( r1(sK34(X0),X2)
& ~ p2(X2) )
& p2(sK34(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X0] :
( ? [X2] :
( r1(sK34(X0),X2)
& ~ p2(X2) )
=> ( r1(sK34(X0),sK35(X0))
& ~ p2(sK35(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
! [X0] :
( ? [X3] :
( ! [X4] :
( ~ p2(X4)
| ! [X5] :
( ~ r1(X4,X5)
| p2(X5) )
| ~ r1(X3,X4) )
& r1(X0,X3)
& ~ p2(X3) )
=> ( ! [X4] :
( ~ p2(X4)
| ! [X5] :
( ~ r1(X4,X5)
| p2(X5) )
| ~ r1(sK36(X0),X4) )
& r1(X0,sK36(X0))
& ~ p2(sK36(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0] :
( ( ( p2(X0)
| ? [X1] :
( r1(X0,X1)
& ? [X2] :
( r1(X1,X2)
& ~ p2(X2) )
& p2(X1) ) )
& ( sP12(X0)
| ? [X3] :
( ! [X4] :
( ~ p2(X4)
| ! [X5] :
( ~ r1(X4,X5)
| p2(X5) )
| ~ r1(X3,X4) )
& r1(X0,X3)
& ~ p2(X3) ) ) )
| ~ sP13(X0) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ( ( p2(X0)
| ? [X42] :
( r1(X0,X42)
& ? [X43] :
( r1(X42,X43)
& ~ p2(X43) )
& p2(X42) ) )
& ( sP12(X0)
| ? [X44] :
( ! [X45] :
( ~ p2(X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ r1(X44,X45) )
& r1(X0,X44)
& ~ p2(X44) ) ) )
| ~ sP13(X0) ),
inference(nnf_transformation,[],[f21]) ).
fof(f1067,plain,
( r1(sK36(sK64),sK88(sK36(sK64)))
| ~ spl91_124 ),
inference(avatar_component_clause,[],[f1065]) ).
fof(f1065,plain,
( spl91_124
<=> r1(sK36(sK64),sK88(sK36(sK64))) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_124])]) ).
fof(f1234,plain,
( ~ spl91_97
| spl91_142
| ~ spl91_143
| ~ spl91_146 ),
inference(avatar_contradiction_clause,[],[f1233]) ).
fof(f1233,plain,
( $false
| ~ spl91_97
| spl91_142
| ~ spl91_143
| ~ spl91_146 ),
inference(subsumption_resolution,[],[f1232,f338]) ).
fof(f338,plain,
r1(sK64,sK79),
inference(cnf_transformation,[],[f165]) ).
fof(f1232,plain,
( ~ r1(sK64,sK79)
| ~ spl91_97
| spl91_142
| ~ spl91_143
| ~ spl91_146 ),
inference(resolution,[],[f1231,f767]) ).
fof(f767,plain,
r1(sK79,sK77(sK79)),
inference(subsumption_resolution,[],[f765,f339]) ).
fof(f339,plain,
~ p2(sK79),
inference(cnf_transformation,[],[f165]) ).
fof(f765,plain,
( r1(sK79,sK77(sK79))
| p2(sK79) ),
inference(resolution,[],[f343,f338]) ).
fof(f343,plain,
! [X28] :
( ~ r1(sK64,X28)
| r1(X28,sK77(X28))
| p2(X28) ),
inference(cnf_transformation,[],[f165]) ).
fof(f1231,plain,
( ! [X0] :
( ~ r1(X0,sK77(sK79))
| ~ r1(sK64,X0) )
| ~ spl91_97
| spl91_142
| ~ spl91_143
| ~ spl91_146 ),
inference(resolution,[],[f1230,f881]) ).
fof(f881,plain,
( sP12(sK64)
| ~ spl91_97 ),
inference(avatar_component_clause,[],[f879]) ).
fof(f1230,plain,
( ! [X0,X1] :
( ~ sP12(X1)
| ~ r1(X1,X0)
| ~ r1(X0,sK77(sK79)) )
| ~ spl91_97
| spl91_142
| ~ spl91_143
| ~ spl91_146 ),
inference(subsumption_resolution,[],[f1229,f1176]) ).
fof(f1176,plain,
( ~ p2(sK77(sK79))
| spl91_142 ),
inference(avatar_component_clause,[],[f1175]) ).
fof(f1175,plain,
( spl91_142
<=> p2(sK77(sK79)) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_142])]) ).
fof(f1229,plain,
( ! [X0,X1] :
( p2(sK77(sK79))
| ~ r1(X0,sK77(sK79))
| ~ r1(X1,X0)
| ~ sP12(X1) )
| ~ spl91_97
| spl91_142
| ~ spl91_143
| ~ spl91_146 ),
inference(resolution,[],[f1228,f220]) ).
fof(f220,plain,
! [X2,X0,X1] :
( ~ p2(sK38(X2))
| ~ r1(X1,X2)
| ~ sP12(X0)
| ~ r1(X0,X1)
| p2(X2) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( p2(sK37(X2))
& r1(X2,sK37(X2))
& r1(sK37(X2),sK38(X2))
& ~ p2(sK38(X2)) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP12(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK37,sK38])],[f74,f76,f75]) ).
fof(f75,plain,
! [X2] :
( ? [X3] :
( p2(X3)
& r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p2(X4) ) )
=> ( p2(sK37(X2))
& r1(X2,sK37(X2))
& ? [X4] :
( r1(sK37(X2),X4)
& ~ p2(X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X2] :
( ? [X4] :
( r1(sK37(X2),X4)
& ~ p2(X4) )
=> ( r1(sK37(X2),sK38(X2))
& ~ p2(sK38(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( p2(X3)
& r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p2(X4) ) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP12(X0) ),
inference(rectify,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ! [X47] :
( ! [X48] :
( ? [X49] :
( p2(X49)
& r1(X48,X49)
& ? [X50] :
( r1(X49,X50)
& ~ p2(X50) ) )
| p2(X48)
| ~ r1(X47,X48) )
| ~ r1(X0,X47) )
| ~ sP12(X0) ),
inference(nnf_transformation,[],[f20]) ).
fof(f1228,plain,
( p2(sK38(sK77(sK79)))
| ~ spl91_97
| spl91_142
| ~ spl91_143
| ~ spl91_146 ),
inference(resolution,[],[f1226,f1218]) ).
fof(f1218,plain,
( ! [X0] :
( ~ r1(sK37(sK77(sK79)),X0)
| p2(X0) )
| ~ spl91_143
| ~ spl91_146 ),
inference(subsumption_resolution,[],[f1217,f339]) ).
fof(f1217,plain,
( ! [X0] :
( p2(sK79)
| p2(X0)
| ~ r1(sK37(sK77(sK79)),X0) )
| ~ spl91_143
| ~ spl91_146 ),
inference(subsumption_resolution,[],[f1216,f338]) ).
fof(f1216,plain,
( ! [X0] :
( ~ r1(sK37(sK77(sK79)),X0)
| ~ r1(sK64,sK79)
| p2(sK79)
| p2(X0) )
| ~ spl91_143
| ~ spl91_146 ),
inference(subsumption_resolution,[],[f1215,f1181]) ).
fof(f1181,plain,
( p2(sK37(sK77(sK79)))
| ~ spl91_143 ),
inference(avatar_component_clause,[],[f1179]) ).
fof(f1179,plain,
( spl91_143
<=> p2(sK37(sK77(sK79))) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_143])]) ).
fof(f1215,plain,
( ! [X0] :
( p2(X0)
| ~ p2(sK37(sK77(sK79)))
| ~ r1(sK37(sK77(sK79)),X0)
| ~ r1(sK64,sK79)
| p2(sK79) )
| ~ spl91_146 ),
inference(resolution,[],[f1203,f344]) ).
fof(f344,plain,
! [X31,X28,X30] :
( ~ r1(sK77(X28),X30)
| ~ r1(sK64,X28)
| ~ p2(X30)
| ~ r1(X30,X31)
| p2(X31)
| p2(X28) ),
inference(cnf_transformation,[],[f165]) ).
fof(f1203,plain,
( r1(sK77(sK79),sK37(sK77(sK79)))
| ~ spl91_146 ),
inference(avatar_component_clause,[],[f1201]) ).
fof(f1201,plain,
( spl91_146
<=> r1(sK77(sK79),sK37(sK77(sK79))) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_146])]) ).
fof(f1226,plain,
( r1(sK37(sK77(sK79)),sK38(sK77(sK79)))
| ~ spl91_97
| spl91_142 ),
inference(subsumption_resolution,[],[f1225,f1176]) ).
fof(f1225,plain,
( p2(sK77(sK79))
| r1(sK37(sK77(sK79)),sK38(sK77(sK79)))
| ~ spl91_97 ),
inference(resolution,[],[f1220,f767]) ).
fof(f1220,plain,
( ! [X1] :
( ~ r1(sK79,X1)
| p2(X1)
| r1(sK37(X1),sK38(X1)) )
| ~ spl91_97 ),
inference(resolution,[],[f1085,f338]) ).
fof(f1085,plain,
( ! [X0,X1] :
( ~ r1(sK64,X0)
| ~ r1(X0,X1)
| p2(X1)
| r1(sK37(X1),sK38(X1)) )
| ~ spl91_97 ),
inference(resolution,[],[f221,f881]) ).
fof(f221,plain,
! [X2,X0,X1] :
( ~ sP12(X0)
| ~ r1(X1,X2)
| p2(X2)
| ~ r1(X0,X1)
| r1(sK37(X2),sK38(X2)) ),
inference(cnf_transformation,[],[f77]) ).
fof(f1214,plain,
~ spl91_142,
inference(avatar_contradiction_clause,[],[f1213]) ).
fof(f1213,plain,
( $false
| ~ spl91_142 ),
inference(subsumption_resolution,[],[f1212,f339]) ).
fof(f1212,plain,
( p2(sK79)
| ~ spl91_142 ),
inference(subsumption_resolution,[],[f1211,f338]) ).
fof(f1211,plain,
( ~ r1(sK64,sK79)
| p2(sK79)
| ~ spl91_142 ),
inference(resolution,[],[f1177,f342]) ).
fof(f342,plain,
! [X28] :
( ~ p2(sK77(X28))
| p2(X28)
| ~ r1(sK64,X28) ),
inference(cnf_transformation,[],[f165]) ).
fof(f1177,plain,
( p2(sK77(sK79))
| ~ spl91_142 ),
inference(avatar_component_clause,[],[f1175]) ).
fof(f1204,plain,
( spl91_142
| spl91_146
| ~ spl91_97 ),
inference(avatar_split_clause,[],[f1199,f879,f1201,f1175]) ).
fof(f1199,plain,
( r1(sK77(sK79),sK37(sK77(sK79)))
| p2(sK77(sK79))
| ~ spl91_97 ),
inference(resolution,[],[f1194,f767]) ).
fof(f1194,plain,
( ! [X1] :
( ~ r1(sK79,X1)
| r1(X1,sK37(X1))
| p2(X1) )
| ~ spl91_97 ),
inference(resolution,[],[f1083,f338]) ).
fof(f1083,plain,
( ! [X0,X1] :
( ~ r1(sK64,X1)
| r1(X0,sK37(X0))
| p2(X0)
| ~ r1(X1,X0) )
| ~ spl91_97 ),
inference(resolution,[],[f881,f222]) ).
fof(f222,plain,
! [X2,X0,X1] :
( ~ sP12(X0)
| r1(X2,sK37(X2))
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| p2(X2) ),
inference(cnf_transformation,[],[f77]) ).
fof(f1182,plain,
( spl91_142
| spl91_143
| ~ spl91_97 ),
inference(avatar_split_clause,[],[f1173,f879,f1179,f1175]) ).
fof(f1173,plain,
( p2(sK37(sK77(sK79)))
| p2(sK77(sK79))
| ~ spl91_97 ),
inference(resolution,[],[f1159,f767]) ).
fof(f1159,plain,
( ! [X1] :
( ~ r1(sK79,X1)
| p2(X1)
| p2(sK37(X1)) )
| ~ spl91_97 ),
inference(resolution,[],[f1084,f338]) ).
fof(f1084,plain,
( ! [X2,X3] :
( ~ r1(sK64,X2)
| p2(X3)
| ~ r1(X2,X3)
| p2(sK37(X3)) )
| ~ spl91_97 ),
inference(resolution,[],[f881,f223]) ).
fof(f223,plain,
! [X2,X0,X1] :
( ~ sP12(X0)
| ~ r1(X1,X2)
| p2(sK37(X2))
| ~ r1(X0,X1)
| p2(X2) ),
inference(cnf_transformation,[],[f77]) ).
fof(f1082,plain,
( spl91_98
| spl91_97
| ~ spl91_1 ),
inference(avatar_split_clause,[],[f1001,f376,f879,f883]) ).
fof(f1001,plain,
( sP12(sK64)
| r1(sK64,sK36(sK64))
| ~ spl91_1 ),
inference(resolution,[],[f378,f214]) ).
fof(f214,plain,
! [X0] :
( ~ sP13(X0)
| r1(X0,sK36(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f1081,plain,
( spl91_97
| ~ spl91_1
| ~ spl91_120 ),
inference(avatar_split_clause,[],[f1080,f1046,f376,f879]) ).
fof(f1080,plain,
( sP12(sK64)
| ~ spl91_1
| ~ spl91_120 ),
inference(subsumption_resolution,[],[f1079,f378]) ).
fof(f1079,plain,
( ~ sP13(sK64)
| sP12(sK64)
| ~ spl91_120 ),
inference(resolution,[],[f1048,f213]) ).
fof(f213,plain,
! [X0] :
( ~ p2(sK36(X0))
| sP12(X0)
| ~ sP13(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f1048,plain,
( p2(sK36(sK64))
| ~ spl91_120 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f1068,plain,
( spl91_120
| spl91_124
| ~ spl91_98 ),
inference(avatar_split_clause,[],[f1009,f883,f1065,f1046]) ).
fof(f1009,plain,
( r1(sK36(sK64),sK88(sK36(sK64)))
| p2(sK36(sK64))
| ~ spl91_98 ),
inference(resolution,[],[f885,f308]) ).
fof(f308,plain,
! [X53] :
( ~ r1(sK64,X53)
| r1(X53,sK88(X53))
| p2(X53) ),
inference(cnf_transformation,[],[f165]) ).
fof(f1063,plain,
( spl91_123
| spl91_120
| ~ spl91_98 ),
inference(avatar_split_clause,[],[f1007,f883,f1046,f1060]) ).
fof(f1007,plain,
( p2(sK36(sK64))
| p2(sK88(sK36(sK64)))
| ~ spl91_98 ),
inference(resolution,[],[f885,f305]) ).
fof(f305,plain,
! [X53] :
( ~ r1(sK64,X53)
| p2(sK88(X53))
| p2(X53) ),
inference(cnf_transformation,[],[f165]) ).
fof(f1053,plain,
( spl91_120
| spl91_121
| ~ spl91_98 ),
inference(avatar_split_clause,[],[f1008,f883,f1050,f1046]) ).
fof(f1008,plain,
( r1(sK88(sK36(sK64)),sK89(sK36(sK64)))
| p2(sK36(sK64))
| ~ spl91_98 ),
inference(resolution,[],[f885,f306]) ).
fof(f306,plain,
! [X53] :
( ~ r1(sK64,X53)
| r1(sK88(X53),sK89(X53))
| p2(X53) ),
inference(cnf_transformation,[],[f165]) ).
fof(f999,plain,
( ~ spl91_35
| ~ spl91_95
| spl91_96 ),
inference(avatar_contradiction_clause,[],[f998]) ).
fof(f998,plain,
( $false
| ~ spl91_35
| ~ spl91_95
| spl91_96 ),
inference(subsumption_resolution,[],[f997,f921]) ).
fof(f921,plain,
( r1(sK84,sK48(sK84))
| ~ spl91_35 ),
inference(resolution,[],[f533,f250]) ).
fof(f997,plain,
( ~ r1(sK84,sK48(sK84))
| ~ spl91_35
| ~ spl91_95
| spl91_96 ),
inference(resolution,[],[f996,f533]) ).
fof(f996,plain,
( ! [X0] :
( ~ sP8(X0)
| ~ r1(X0,sK48(sK84)) )
| ~ spl91_35
| ~ spl91_95
| spl91_96 ),
inference(subsumption_resolution,[],[f995,f875]) ).
fof(f875,plain,
( ~ p2(sK48(sK84))
| spl91_96 ),
inference(avatar_component_clause,[],[f873]) ).
fof(f873,plain,
( spl91_96
<=> p2(sK48(sK84)) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_96])]) ).
fof(f995,plain,
( ! [X0] :
( ~ r1(X0,sK48(sK84))
| p2(sK48(sK84))
| ~ sP8(X0) )
| ~ spl91_35
| ~ spl91_95
| spl91_96 ),
inference(resolution,[],[f994,f245]) ).
fof(f245,plain,
! [X0,X5] :
( ~ p2(sK51(X5))
| p2(X5)
| ~ r1(X0,X5)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f994,plain,
( p2(sK51(sK48(sK84)))
| ~ spl91_35
| ~ spl91_95
| spl91_96 ),
inference(resolution,[],[f993,f990]) ).
fof(f990,plain,
( ! [X1] :
( ~ r1(sK50(sK48(sK84)),X1)
| p2(X1) )
| ~ spl91_35
| ~ spl91_95
| spl91_96 ),
inference(subsumption_resolution,[],[f989,f977]) ).
fof(f977,plain,
( p2(sK50(sK48(sK84)))
| ~ spl91_35
| spl91_96 ),
inference(subsumption_resolution,[],[f976,f875]) ).
fof(f976,plain,
( p2(sK48(sK84))
| p2(sK50(sK48(sK84)))
| ~ spl91_35 ),
inference(resolution,[],[f972,f921]) ).
fof(f972,plain,
( ! [X0] :
( ~ r1(sK84,X0)
| p2(sK50(X0))
| p2(X0) )
| ~ spl91_35 ),
inference(resolution,[],[f246,f533]) ).
fof(f246,plain,
! [X0,X5] :
( ~ sP8(X0)
| p2(sK50(X5))
| p2(X5)
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f102]) ).
fof(f989,plain,
( ! [X1] :
( p2(X1)
| ~ p2(sK50(sK48(sK84)))
| ~ r1(sK50(sK48(sK84)),X1) )
| ~ spl91_35
| ~ spl91_95
| spl91_96 ),
inference(resolution,[],[f870,f987]) ).
fof(f987,plain,
( r1(sK48(sK84),sK50(sK48(sK84)))
| ~ spl91_35
| spl91_96 ),
inference(subsumption_resolution,[],[f986,f875]) ).
fof(f986,plain,
( p2(sK48(sK84))
| r1(sK48(sK84),sK50(sK48(sK84)))
| ~ spl91_35 ),
inference(resolution,[],[f985,f921]) ).
fof(f985,plain,
( ! [X0] :
( ~ r1(sK84,X0)
| p2(X0)
| r1(X0,sK50(X0)) )
| ~ spl91_35 ),
inference(resolution,[],[f243,f533]) ).
fof(f243,plain,
! [X0,X5] :
( ~ sP8(X0)
| r1(X5,sK50(X5))
| p2(X5)
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f102]) ).
fof(f870,plain,
( ! [X0,X1] :
( ~ r1(sK48(sK84),X0)
| ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1) )
| ~ spl91_95 ),
inference(avatar_component_clause,[],[f869]) ).
fof(f993,plain,
( r1(sK50(sK48(sK84)),sK51(sK48(sK84)))
| ~ spl91_35
| spl91_96 ),
inference(subsumption_resolution,[],[f992,f875]) ).
fof(f992,plain,
( p2(sK48(sK84))
| r1(sK50(sK48(sK84)),sK51(sK48(sK84)))
| ~ spl91_35 ),
inference(resolution,[],[f991,f921]) ).
fof(f991,plain,
( ! [X0] :
( ~ r1(sK84,X0)
| r1(sK50(X0),sK51(X0))
| p2(X0) )
| ~ spl91_35 ),
inference(resolution,[],[f244,f533]) ).
fof(f244,plain,
! [X0,X5] :
( ~ sP8(X0)
| p2(X5)
| r1(sK50(X5),sK51(X5))
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f102]) ).
fof(f984,plain,
( spl91_112
| spl91_110
| ~ spl91_35
| ~ spl91_94 ),
inference(avatar_split_clause,[],[f979,f865,f531,f963,f981]) ).
fof(f979,plain,
( p2(sK49(sK84))
| p2(sK39(sK49(sK84)))
| ~ spl91_35
| ~ spl91_94 ),
inference(subsumption_resolution,[],[f978,f533]) ).
fof(f978,plain,
( p2(sK49(sK84))
| ~ sP8(sK84)
| p2(sK39(sK49(sK84)))
| ~ spl91_94 ),
inference(resolution,[],[f975,f249]) ).
fof(f975,plain,
( ! [X2] :
( ~ r1(sK48(sK84),X2)
| p2(X2)
| p2(sK39(X2)) )
| ~ spl91_94 ),
inference(resolution,[],[f867,f228]) ).
fof(f228,plain,
! [X0,X1] :
( ~ sP11(X0)
| ~ r1(X0,X1)
| p2(sK39(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f970,plain,
( spl91_110
| spl91_111
| ~ spl91_35
| ~ spl91_93 ),
inference(avatar_split_clause,[],[f961,f861,f531,f967,f963]) ).
fof(f961,plain,
( p2(sK44(sK49(sK84)))
| p2(sK49(sK84))
| ~ spl91_35
| ~ spl91_93 ),
inference(subsumption_resolution,[],[f950,f533]) ).
fof(f950,plain,
( ~ sP8(sK84)
| p2(sK44(sK49(sK84)))
| p2(sK49(sK84))
| ~ spl91_93 ),
inference(resolution,[],[f949,f249]) ).
fof(f949,plain,
( ! [X0] :
( ~ r1(sK48(sK84),X0)
| p2(X0)
| p2(sK44(X0)) )
| ~ spl91_93 ),
inference(resolution,[],[f231,f863]) ).
fof(f231,plain,
! [X0,X5] :
( ~ sP10(X0)
| p2(X5)
| p2(sK44(X5))
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f90]) ).
fof(f876,plain,
( spl91_94
| spl91_93
| ~ spl91_96
| ~ spl91_35
| ~ spl91_61 ),
inference(avatar_split_clause,[],[f859,f657,f531,f873,f861,f865]) ).
fof(f657,plain,
( spl91_61
<=> ! [X41] :
( ~ r1(sK84,X41)
| sP10(X41)
| sP11(X41)
| ~ p2(X41) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_61])]) ).
fof(f859,plain,
( ~ p2(sK48(sK84))
| sP10(sK48(sK84))
| sP11(sK48(sK84))
| ~ spl91_35
| ~ spl91_61 ),
inference(resolution,[],[f857,f658]) ).
fof(f658,plain,
( ! [X41] :
( ~ r1(sK84,X41)
| ~ p2(X41)
| sP10(X41)
| sP11(X41) )
| ~ spl91_61 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f857,plain,
( r1(sK84,sK48(sK84))
| ~ spl91_35 ),
inference(resolution,[],[f250,f533]) ).
fof(f836,plain,
( spl91_54
| spl91_88
| ~ spl91_65 ),
inference(avatar_split_clause,[],[f791,f676,f833,f623]) ).
fof(f791,plain,
( r1(sK84,sK88(sK84))
| p2(sK84)
| ~ spl91_65 ),
inference(resolution,[],[f678,f308]) ).
fof(f826,plain,
( spl91_54
| spl91_86
| ~ spl91_65 ),
inference(avatar_split_clause,[],[f790,f676,f823,f623]) ).
fof(f790,plain,
( r1(sK88(sK84),sK89(sK84))
| p2(sK84)
| ~ spl91_65 ),
inference(resolution,[],[f678,f306]) ).
fof(f803,plain,
( spl91_54
| spl91_81
| ~ spl91_65 ),
inference(avatar_split_clause,[],[f789,f676,f800,f623]) ).
fof(f789,plain,
( p2(sK88(sK84))
| p2(sK84)
| ~ spl91_65 ),
inference(resolution,[],[f678,f305]) ).
fof(f679,plain,
( spl91_65
| spl91_1 ),
inference(avatar_split_clause,[],[f322,f376,f676]) ).
fof(f322,plain,
( sP13(sK64)
| r1(sK64,sK84) ),
inference(cnf_transformation,[],[f165]) ).
fof(f659,plain,
( spl91_61
| spl91_1 ),
inference(avatar_split_clause,[],[f326,f376,f657]) ).
fof(f326,plain,
! [X41] :
( sP13(sK64)
| ~ r1(sK84,X41)
| ~ p2(X41)
| sP11(X41)
| sP10(X41) ),
inference(cnf_transformation,[],[f165]) ).
fof(f626,plain,
( ~ spl91_54
| spl91_35
| spl91_1 ),
inference(avatar_split_clause,[],[f323,f376,f531,f623]) ).
fof(f323,plain,
( sP13(sK64)
| sP8(sK84)
| ~ p2(sK84) ),
inference(cnf_transformation,[],[f165]) ).
fof(f537,plain,
( spl91_35
| spl91_1
| spl91_36 ),
inference(avatar_split_clause,[],[f324,f535,f376,f531]) ).
fof(f324,plain,
! [X44,X45] :
( ~ r1(sK84,X44)
| ~ r1(X44,X45)
| sP13(sK64)
| ~ p2(X44)
| p2(X45)
| sP8(sK84) ),
inference(cnf_transformation,[],[f165]) ).
fof(f382,plain,
( spl91_1
| spl91_2 ),
inference(avatar_split_clause,[],[f325,f380,f376]) ).
fof(f325,plain,
! [X41,X42,X43] :
( ~ r1(X42,X43)
| p2(X43)
| sP13(sK64)
| sP10(X41)
| ~ p2(X42)
| ~ r1(sK84,X41)
| ~ r1(X41,X42)
| sP11(X41) ),
inference(cnf_transformation,[],[f165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL642+1.010 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 02:09:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.53/0.55 % (14221)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.53/0.57 % (14237)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.53/0.57 % (14229)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.53/0.58 % (14230)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.53/0.58 % (14240)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.53/0.59 % (14219)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.53/0.59 % (14218)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.53/0.59 % (14222)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.53/0.59 % (14220)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.53/0.60 % (14216)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.53/0.60 TRYING [1]
% 1.53/0.60 % (14242)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.53/0.60 TRYING [2]
% 1.53/0.60 % (14222)Instruction limit reached!
% 1.53/0.60 % (14222)------------------------------
% 1.53/0.60 % (14222)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.60 % (14222)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.60 % (14222)Termination reason: Unknown
% 1.53/0.60 % (14222)Termination phase: Property scanning
% 1.53/0.60
% 1.53/0.60 % (14222)Memory used [KB]: 1407
% 1.53/0.60 % (14222)Time elapsed: 0.013 s
% 1.53/0.60 % (14222)Instructions burned: 7 (million)
% 1.53/0.60 % (14222)------------------------------
% 1.53/0.60 % (14222)------------------------------
% 1.53/0.60 % (14233)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.53/0.60 % (14231)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.53/0.61 % (14241)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.53/0.61 % (14239)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.53/0.61 % (14238)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.53/0.61 % (14217)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.53/0.62 % (14236)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.53/0.62 % (14223)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.53/0.62 % (14223)Instruction limit reached!
% 1.53/0.62 % (14223)------------------------------
% 1.53/0.62 % (14223)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.62 % (14223)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.62 % (14223)Termination reason: Unknown
% 1.53/0.62 % (14223)Termination phase: Preprocessing 1
% 1.53/0.62
% 1.53/0.62 % (14223)Memory used [KB]: 1023
% 1.53/0.62 % (14223)Time elapsed: 0.004 s
% 1.53/0.62 % (14223)Instructions burned: 2 (million)
% 1.53/0.62 % (14223)------------------------------
% 1.53/0.62 % (14223)------------------------------
% 1.53/0.62 % (14225)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.53/0.62 % (14243)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.53/0.62 % (14215)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.53/0.62 % (14244)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.53/0.62 TRYING [3]
% 1.53/0.63 % (14228)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.53/0.63 % (14227)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.53/0.63 % (14234)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.53/0.63 % (14235)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.53/0.63 % (14221)Instruction limit reached!
% 1.53/0.63 % (14221)------------------------------
% 1.53/0.63 % (14221)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.63 % (14221)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.63 % (14221)Termination reason: Unknown
% 1.53/0.63 % (14221)Termination phase: Finite model building constraint generation
% 1.53/0.63
% 1.53/0.63 % (14221)Memory used [KB]: 7547
% 1.53/0.63 % (14221)Time elapsed: 0.193 s
% 1.53/0.63 % (14221)Instructions burned: 51 (million)
% 1.53/0.63 % (14221)------------------------------
% 1.53/0.63 % (14221)------------------------------
% 1.53/0.63 % (14232)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.53/0.64 % (14226)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.32/0.66 % (14224)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.32/0.67 % (14216)Refutation not found, incomplete strategy% (14216)------------------------------
% 2.32/0.67 % (14216)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.67 % (14216)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.67 % (14216)Termination reason: Refutation not found, incomplete strategy
% 2.32/0.67
% 2.32/0.67 % (14216)Memory used [KB]: 6268
% 2.32/0.67 % (14216)Time elapsed: 0.235 s
% 2.32/0.67 % (14216)Instructions burned: 25 (million)
% 2.32/0.67 % (14216)------------------------------
% 2.32/0.67 % (14216)------------------------------
% 2.65/0.70 % (14217)Instruction limit reached!
% 2.65/0.70 % (14217)------------------------------
% 2.65/0.70 % (14217)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.70 % (14217)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.70 % (14217)Termination reason: Unknown
% 2.65/0.70 % (14217)Termination phase: Saturation
% 2.65/0.70
% 2.65/0.70 % (14217)Memory used [KB]: 1535
% 2.65/0.70 % (14217)Time elapsed: 0.288 s
% 2.65/0.70 % (14217)Instructions burned: 37 (million)
% 2.65/0.70 % (14217)------------------------------
% 2.65/0.70 % (14217)------------------------------
% 2.65/0.71 TRYING [1]
% 2.65/0.71 % (14229)Instruction limit reached!
% 2.65/0.71 % (14229)------------------------------
% 2.65/0.71 % (14229)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.71 % (14229)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.71 % (14229)Termination reason: Unknown
% 2.65/0.71 % (14229)Termination phase: Saturation
% 2.65/0.71
% 2.65/0.71 % (14229)Memory used [KB]: 6780
% 2.65/0.71 % (14229)Time elapsed: 0.062 s
% 2.65/0.71 % (14229)Instructions burned: 69 (million)
% 2.65/0.71 % (14229)------------------------------
% 2.65/0.71 % (14229)------------------------------
% 2.65/0.72 TRYING [2]
% 2.65/0.72 % (14230)Instruction limit reached!
% 2.65/0.72 % (14230)------------------------------
% 2.65/0.72 % (14230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.72 % (14230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.72 % (14230)Termination reason: Unknown
% 2.65/0.72 % (14230)Termination phase: Saturation
% 2.65/0.72
% 2.65/0.72 % (14230)Memory used [KB]: 1663
% 2.65/0.72 % (14230)Time elapsed: 0.222 s
% 2.65/0.72 % (14230)Instructions burned: 75 (million)
% 2.65/0.72 % (14230)------------------------------
% 2.65/0.72 % (14230)------------------------------
% 2.65/0.72 % (14218)Instruction limit reached!
% 2.65/0.72 % (14218)------------------------------
% 2.65/0.72 % (14218)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.72 % (14218)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.72 % (14218)Termination reason: Unknown
% 2.65/0.72 % (14218)Termination phase: Saturation
% 2.65/0.72
% 2.65/0.72 % (14218)Memory used [KB]: 6908
% 2.65/0.72 % (14218)Time elapsed: 0.308 s
% 2.65/0.72 % (14218)Instructions burned: 51 (million)
% 2.65/0.72 % (14218)------------------------------
% 2.65/0.72 % (14218)------------------------------
% 2.65/0.72 % (14219)Instruction limit reached!
% 2.65/0.72 % (14219)------------------------------
% 2.65/0.72 % (14219)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.72 % (14219)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.72 % (14219)Termination reason: Unknown
% 2.65/0.72 % (14219)Termination phase: Saturation
% 2.65/0.72
% 2.65/0.72 % (14219)Memory used [KB]: 7291
% 2.65/0.72 % (14219)Time elapsed: 0.308 s
% 2.65/0.72 % (14219)Instructions burned: 51 (million)
% 2.65/0.72 % (14219)------------------------------
% 2.65/0.72 % (14219)------------------------------
% 2.65/0.73 % (14225)Instruction limit reached!
% 2.65/0.73 % (14225)------------------------------
% 2.65/0.73 % (14225)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.73 % (14225)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.73 % (14225)Termination reason: Unknown
% 2.65/0.73 % (14225)Termination phase: Saturation
% 2.65/0.73
% 2.65/0.73 % (14225)Memory used [KB]: 6652
% 2.65/0.73 % (14225)Time elapsed: 0.318 s
% 2.65/0.73 % (14225)Instructions burned: 50 (million)
% 2.65/0.73 % (14225)------------------------------
% 2.65/0.73 % (14225)------------------------------
% 2.65/0.73 % (14220)Instruction limit reached!
% 2.65/0.73 % (14220)------------------------------
% 2.65/0.73 % (14220)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.73 % (14220)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.73 % (14220)Termination reason: Unknown
% 2.65/0.73 % (14220)Termination phase: Saturation
% 2.65/0.73
% 2.65/0.73 % (14220)Memory used [KB]: 6780
% 2.65/0.73 % (14220)Time elapsed: 0.317 s
% 2.65/0.73 % (14220)Instructions burned: 48 (million)
% 2.65/0.73 % (14220)------------------------------
% 2.65/0.73 % (14220)------------------------------
% 2.65/0.74 % (14238)First to succeed.
% 2.65/0.74 TRYING [3]
% 3.05/0.76 % (14232)Instruction limit reached!
% 3.05/0.76 % (14232)------------------------------
% 3.05/0.76 % (14232)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.05/0.76 % (14232)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.05/0.76 % (14232)Termination reason: Unknown
% 3.05/0.76 % (14232)Termination phase: Finite model building preprocessing
% 3.05/0.76
% 3.05/0.76 % (14232)Memory used [KB]: 7291
% 3.05/0.76 % (14232)Time elapsed: 0.039 s
% 3.05/0.76 % (14232)Instructions burned: 60 (million)
% 3.05/0.76 % (14232)------------------------------
% 3.05/0.76 % (14232)------------------------------
% 3.05/0.76 % (14224)Instruction limit reached!
% 3.05/0.76 % (14224)------------------------------
% 3.05/0.76 % (14224)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.05/0.78 % (14224)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.05/0.78 % (14224)Termination reason: Unknown
% 3.05/0.78 % (14224)Termination phase: Saturation
% 3.05/0.78
% 3.05/0.78 % (14224)Memory used [KB]: 1791
% 3.05/0.78 % (14224)Time elapsed: 0.332 s
% 3.05/0.78 % (14224)Instructions burned: 52 (million)
% 3.05/0.78 % (14224)------------------------------
% 3.05/0.78 % (14224)------------------------------
% 3.05/0.78 TRYING [4]
% 3.05/0.79 % (14241)Instruction limit reached!
% 3.05/0.79 % (14241)------------------------------
% 3.05/0.79 % (14241)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.05/0.79 % (14241)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.05/0.79 % (14241)Termination reason: Unknown
% 3.05/0.79 % (14241)Termination phase: Saturation
% 3.05/0.79
% 3.05/0.79 % (14241)Memory used [KB]: 6780
% 3.05/0.79 % (14241)Time elapsed: 0.055 s
% 3.05/0.79 % (14241)Instructions burned: 69 (million)
% 3.05/0.79 % (14241)------------------------------
% 3.05/0.79 % (14241)------------------------------
% 3.05/0.80 % (14279)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 3.05/0.80 % (14238)Refutation found. Thanks to Tanya!
% 3.05/0.80 % SZS status Theorem for theBenchmark
% 3.05/0.80 % SZS output start Proof for theBenchmark
% See solution above
% 3.05/0.80 % (14238)------------------------------
% 3.05/0.80 % (14238)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.05/0.80 % (14238)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.05/0.80 % (14238)Termination reason: Refutation
% 3.05/0.80
% 3.05/0.80 % (14238)Memory used [KB]: 6908
% 3.05/0.80 % (14238)Time elapsed: 0.340 s
% 3.05/0.80 % (14238)Instructions burned: 47 (million)
% 3.05/0.80 % (14238)------------------------------
% 3.05/0.80 % (14238)------------------------------
% 3.05/0.80 % (14214)Success in time 0.439 s
%------------------------------------------------------------------------------