TSTP Solution File: LCL642+1.010 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n029.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 17:43:33 EDT 2022
% Result : Theorem 3.03s 0.74s
% Output : Refutation 3.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 98
% Syntax : Number of formulae : 353 ( 5 unt; 0 def)
% Number of atoms : 5377 ( 0 equ)
% Maximal formula atoms : 410 ( 15 avg)
% Number of connectives : 7792 (2768 ~;3736 |;1213 &)
% ( 32 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 43 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 60 ( 59 usr; 33 prp; 0-2 aty)
% Number of functors : 43 ( 43 usr; 18 con; 0-1 aty)
% Number of variables : 1747 (1349 !; 398 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1657,plain,
$false,
inference(avatar_sat_refutation,[],[f428,f452,f539,f616,f664,f860,f936,f972,f983,f1017,f1022,f1049,f1059,f1102,f1129,f1151,f1232,f1262,f1267,f1271,f1275,f1297,f1318,f1361,f1483,f1487,f1522,f1546,f1549,f1554,f1563,f1582,f1642,f1656]) ).
fof(f1656,plain,
( ~ spl91_17
| ~ spl91_140 ),
inference(avatar_contradiction_clause,[],[f1655]) ).
fof(f1655,plain,
( $false
| ~ spl91_17
| ~ spl91_140 ),
inference(subsumption_resolution,[],[f1654,f447]) ).
fof(f447,plain,
( sP7(sK79)
| ~ spl91_17 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f445,plain,
( spl91_17
<=> sP7(sK79) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_17])]) ).
fof(f1654,plain,
( ~ sP7(sK79)
| ~ spl91_140 ),
inference(resolution,[],[f1128,f254]) ).
fof(f254,plain,
! [X0] :
( ~ p2(sK51(X0))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ( r1(X0,sK50(X0))
& ! [X3] :
( ~ r1(sK51(X0),X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) )
& ~ p2(sK51(X0))
& r1(sK50(X0),sK51(X0))
& ! [X5] :
( ~ r1(X0,X5)
| ( r1(sK52(X5),sK53(X5))
& ~ p2(sK53(X5))
& p2(sK52(X5))
& r1(X5,sK52(X5)) )
| p2(X5) ) )
| ~ sP7(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK50,sK51,sK52,sK53])],[f101,f105,f104,f103,f102]) ).
fof(f102,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ? [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) )
& ~ p2(X2)
& r1(X1,X2) ) )
=> ( r1(X0,sK50(X0))
& ? [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) )
& ~ p2(X2)
& r1(sK50(X0),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
! [X0] :
( ? [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) )
& ~ p2(X2)
& r1(sK50(X0),X2) )
=> ( ! [X3] :
( ~ r1(sK51(X0),X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) )
& ~ p2(sK51(X0))
& r1(sK50(X0),sK51(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
! [X5] :
( ? [X6] :
( ? [X7] :
( r1(X6,X7)
& ~ p2(X7) )
& p2(X6)
& r1(X5,X6) )
=> ( ? [X7] :
( r1(sK52(X5),X7)
& ~ p2(X7) )
& p2(sK52(X5))
& r1(X5,sK52(X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
! [X5] :
( ? [X7] :
( r1(sK52(X5),X7)
& ~ p2(X7) )
=> ( r1(sK52(X5),sK53(X5))
& ~ p2(sK53(X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
! [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ? [X2] :
( ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ p2(X3) )
& ~ p2(X2)
& r1(X1,X2) ) )
& ! [X5] :
( ~ r1(X0,X5)
| ? [X6] :
( ? [X7] :
( r1(X6,X7)
& ~ p2(X7) )
& p2(X6)
& r1(X5,X6) )
| p2(X5) ) )
| ~ sP7(X0) ),
inference(rectify,[],[f100]) ).
fof(f100,plain,
! [X55] :
( ( ? [X56] :
( r1(X55,X56)
& ? [X57] :
( ! [X58] :
( ~ r1(X57,X58)
| ! [X59] :
( ~ r1(X58,X59)
| p2(X59) )
| ~ p2(X58) )
& ~ p2(X57)
& r1(X56,X57) ) )
& ! [X60] :
( ~ r1(X55,X60)
| ? [X61] :
( ? [X62] :
( r1(X61,X62)
& ~ p2(X62) )
& p2(X61)
& r1(X60,X61) )
| p2(X60) ) )
| ~ sP7(X55) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X55] :
( ( ? [X56] :
( r1(X55,X56)
& ? [X57] :
( ! [X58] :
( ~ r1(X57,X58)
| ! [X59] :
( ~ r1(X58,X59)
| p2(X59) )
| ~ p2(X58) )
& ~ p2(X57)
& r1(X56,X57) ) )
& ! [X60] :
( ~ r1(X55,X60)
| ? [X61] :
( ? [X62] :
( r1(X61,X62)
& ~ p2(X62) )
& p2(X61)
& r1(X60,X61) )
| p2(X60) ) )
| ~ sP7(X55) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f1128,plain,
( p2(sK51(sK79))
| ~ spl91_140 ),
inference(avatar_component_clause,[],[f1126]) ).
fof(f1126,plain,
( spl91_140
<=> p2(sK51(sK79)) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_140])]) ).
fof(f1642,plain,
( ~ spl91_17
| ~ spl91_107
| ~ spl91_139
| spl91_140
| ~ spl91_184 ),
inference(avatar_contradiction_clause,[],[f1641]) ).
fof(f1641,plain,
( $false
| ~ spl91_17
| ~ spl91_107
| ~ spl91_139
| spl91_140
| ~ spl91_184 ),
inference(subsumption_resolution,[],[f1640,f1544]) ).
fof(f1544,plain,
( r1(sK50(sK79),sK51(sK79))
| ~ spl91_184 ),
inference(avatar_component_clause,[],[f1543]) ).
fof(f1543,plain,
( spl91_184
<=> r1(sK50(sK79),sK51(sK79)) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_184])]) ).
fof(f1640,plain,
( ~ r1(sK50(sK79),sK51(sK79))
| ~ spl91_17
| ~ spl91_107
| ~ spl91_139
| spl91_140
| ~ spl91_184 ),
inference(resolution,[],[f1639,f927]) ).
fof(f927,plain,
( sP10(sK50(sK79))
| ~ spl91_107 ),
inference(avatar_component_clause,[],[f925]) ).
fof(f925,plain,
( spl91_107
<=> sP10(sK50(sK79)) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_107])]) ).
fof(f1639,plain,
( ! [X0] :
( ~ sP10(X0)
| ~ r1(X0,sK51(sK79)) )
| ~ spl91_17
| ~ spl91_107
| ~ spl91_139
| spl91_140
| ~ spl91_184 ),
inference(subsumption_resolution,[],[f1638,f1127]) ).
fof(f1127,plain,
( ~ p2(sK51(sK79))
| spl91_140 ),
inference(avatar_component_clause,[],[f1126]) ).
fof(f1638,plain,
( ! [X0] :
( p2(sK51(sK79))
| ~ r1(X0,sK51(sK79))
| ~ sP10(X0) )
| ~ spl91_17
| ~ spl91_107
| ~ spl91_139
| spl91_140
| ~ spl91_184 ),
inference(resolution,[],[f1637,f233]) ).
fof(f233,plain,
! [X0,X1] :
( ~ p2(sK43(X1))
| ~ r1(X0,X1)
| p2(X1)
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ( ( r1(X1,sK41(X1))
& ~ p2(sK41(X1))
& ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK41(X1),X3) ) )
| sP8(X1) )
& ( p2(X1)
| ( ~ p2(sK43(X1))
& r1(sK42(X1),sK43(X1))
& p2(sK42(X1))
& r1(X1,sK42(X1)) ) ) ) )
| ~ sP10(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK41,sK42,sK43])],[f83,f86,f85,f84]) ).
fof(f84,plain,
! [X1] :
( ? [X2] :
( r1(X1,X2)
& ~ p2(X2)
& ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) ) )
=> ( r1(X1,sK41(X1))
& ~ p2(sK41(X1))
& ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK41(X1),X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
! [X1] :
( ? [X5] :
( ? [X6] :
( ~ p2(X6)
& r1(X5,X6) )
& p2(X5)
& r1(X1,X5) )
=> ( ? [X6] :
( ~ p2(X6)
& r1(sK42(X1),X6) )
& p2(sK42(X1))
& r1(X1,sK42(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
! [X1] :
( ? [X6] :
( ~ p2(X6)
& r1(sK42(X1),X6) )
=> ( ~ p2(sK43(X1))
& r1(sK42(X1),sK43(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ( ? [X2] :
( r1(X1,X2)
& ~ p2(X2)
& ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) ) )
| sP8(X1) )
& ( p2(X1)
| ? [X5] :
( ? [X6] :
( ~ p2(X6)
& r1(X5,X6) )
& p2(X5)
& r1(X1,X5) ) ) ) )
| ~ sP10(X0) ),
inference(rectify,[],[f82]) ).
fof(f82,plain,
! [X65] :
( ! [X75] :
( ~ r1(X65,X75)
| ( ( ? [X80] :
( r1(X75,X80)
& ~ p2(X80)
& ! [X81] :
( ~ p2(X81)
| ! [X82] :
( p2(X82)
| ~ r1(X81,X82) )
| ~ r1(X80,X81) ) )
| sP8(X75) )
& ( p2(X75)
| ? [X83] :
( ? [X84] :
( ~ p2(X84)
& r1(X83,X84) )
& p2(X83)
& r1(X75,X83) ) ) ) )
| ~ sP10(X65) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X65] :
( ! [X75] :
( ~ r1(X65,X75)
| ( ( ? [X80] :
( r1(X75,X80)
& ~ p2(X80)
& ! [X81] :
( ~ p2(X81)
| ! [X82] :
( p2(X82)
| ~ r1(X81,X82) )
| ~ r1(X80,X81) ) )
| sP8(X75) )
& ( p2(X75)
| ? [X83] :
( ? [X84] :
( ~ p2(X84)
& r1(X83,X84) )
& p2(X83)
& r1(X75,X83) ) ) ) )
| ~ sP10(X65) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f1637,plain,
( p2(sK43(sK51(sK79)))
| ~ spl91_17
| ~ spl91_107
| ~ spl91_139
| spl91_140
| ~ spl91_184 ),
inference(subsumption_resolution,[],[f1636,f1544]) ).
fof(f1636,plain,
( ~ r1(sK50(sK79),sK51(sK79))
| p2(sK43(sK51(sK79)))
| ~ spl91_17
| ~ spl91_107
| ~ spl91_139
| spl91_140
| ~ spl91_184 ),
inference(subsumption_resolution,[],[f1635,f1127]) ).
fof(f1635,plain,
( p2(sK43(sK51(sK79)))
| p2(sK51(sK79))
| ~ r1(sK50(sK79),sK51(sK79))
| ~ spl91_17
| ~ spl91_107
| ~ spl91_139
| spl91_140
| ~ spl91_184 ),
inference(resolution,[],[f1594,f1629]) ).
fof(f1629,plain,
( ! [X0] :
( ~ r1(sK42(sK51(sK79)),X0)
| p2(X0) )
| ~ spl91_17
| ~ spl91_107
| ~ spl91_139
| spl91_140
| ~ spl91_184 ),
inference(subsumption_resolution,[],[f1628,f1124]) ).
fof(f1124,plain,
( p2(sK42(sK51(sK79)))
| ~ spl91_139 ),
inference(avatar_component_clause,[],[f1122]) ).
fof(f1122,plain,
( spl91_139
<=> p2(sK42(sK51(sK79))) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_139])]) ).
fof(f1628,plain,
( ! [X0] :
( p2(X0)
| ~ p2(sK42(sK51(sK79)))
| ~ r1(sK42(sK51(sK79)),X0) )
| ~ spl91_17
| ~ spl91_107
| spl91_140
| ~ spl91_184 ),
inference(resolution,[],[f1627,f1365]) ).
fof(f1365,plain,
( ! [X3,X4] :
( ~ r1(sK51(sK79),X3)
| ~ p2(X3)
| p2(X4)
| ~ r1(X3,X4) )
| ~ spl91_17 ),
inference(resolution,[],[f447,f255]) ).
fof(f255,plain,
! [X3,X0,X4] :
( ~ sP7(X0)
| ~ r1(sK51(X0),X3)
| ~ p2(X3)
| ~ r1(X3,X4)
| p2(X4) ),
inference(cnf_transformation,[],[f106]) ).
fof(f1627,plain,
( r1(sK51(sK79),sK42(sK51(sK79)))
| ~ spl91_107
| spl91_140
| ~ spl91_184 ),
inference(subsumption_resolution,[],[f1624,f1127]) ).
fof(f1624,plain,
( p2(sK51(sK79))
| r1(sK51(sK79),sK42(sK51(sK79)))
| ~ spl91_107
| ~ spl91_184 ),
inference(resolution,[],[f1596,f1544]) ).
fof(f1596,plain,
( ! [X5] :
( ~ r1(sK50(sK79),X5)
| r1(X5,sK42(X5))
| p2(X5) )
| ~ spl91_107 ),
inference(resolution,[],[f927,f230]) ).
fof(f230,plain,
! [X0,X1] :
( ~ sP10(X0)
| r1(X1,sK42(X1))
| p2(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f1594,plain,
( ! [X3] :
( r1(sK42(X3),sK43(X3))
| p2(X3)
| ~ r1(sK50(sK79),X3) )
| ~ spl91_107 ),
inference(resolution,[],[f927,f232]) ).
fof(f232,plain,
! [X0,X1] :
( ~ sP10(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(sK42(X1),sK43(X1)) ),
inference(cnf_transformation,[],[f87]) ).
fof(f1582,plain,
( ~ spl91_17
| spl91_108
| ~ spl91_136 ),
inference(avatar_contradiction_clause,[],[f1581]) ).
fof(f1581,plain,
( $false
| ~ spl91_17
| spl91_108
| ~ spl91_136 ),
inference(subsumption_resolution,[],[f1580,f1366]) ).
fof(f1366,plain,
( r1(sK79,sK50(sK79))
| ~ spl91_17 ),
inference(resolution,[],[f447,f256]) ).
fof(f256,plain,
! [X0] :
( ~ sP7(X0)
| r1(X0,sK50(X0)) ),
inference(cnf_transformation,[],[f106]) ).
fof(f1580,plain,
( ~ r1(sK79,sK50(sK79))
| ~ spl91_17
| spl91_108
| ~ spl91_136 ),
inference(resolution,[],[f1579,f447]) ).
fof(f1579,plain,
( ! [X0] :
( ~ sP7(X0)
| ~ r1(X0,sK50(sK79)) )
| ~ spl91_17
| spl91_108
| ~ spl91_136 ),
inference(subsumption_resolution,[],[f1578,f931]) ).
fof(f931,plain,
( ~ p2(sK50(sK79))
| spl91_108 ),
inference(avatar_component_clause,[],[f929]) ).
fof(f929,plain,
( spl91_108
<=> p2(sK50(sK79)) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_108])]) ).
fof(f1578,plain,
( ! [X0] :
( ~ r1(X0,sK50(sK79))
| p2(sK50(sK79))
| ~ sP7(X0) )
| ~ spl91_17
| spl91_108
| ~ spl91_136 ),
inference(resolution,[],[f1576,f251]) ).
fof(f251,plain,
! [X0,X5] :
( ~ p2(sK53(X5))
| p2(X5)
| ~ sP7(X0)
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f106]) ).
fof(f1576,plain,
( p2(sK53(sK50(sK79)))
| ~ spl91_17
| spl91_108
| ~ spl91_136 ),
inference(subsumption_resolution,[],[f1575,f1366]) ).
fof(f1575,plain,
( p2(sK53(sK50(sK79)))
| ~ r1(sK79,sK50(sK79))
| ~ spl91_17
| spl91_108
| ~ spl91_136 ),
inference(subsumption_resolution,[],[f1573,f931]) ).
fof(f1573,plain,
( p2(sK53(sK50(sK79)))
| p2(sK50(sK79))
| ~ r1(sK79,sK50(sK79))
| ~ spl91_17
| spl91_108
| ~ spl91_136 ),
inference(resolution,[],[f1572,f1362]) ).
fof(f1362,plain,
( ! [X0] :
( r1(sK52(X0),sK53(X0))
| ~ r1(sK79,X0)
| p2(X0) )
| ~ spl91_17 ),
inference(resolution,[],[f447,f252]) ).
fof(f252,plain,
! [X0,X5] :
( ~ sP7(X0)
| r1(sK52(X5),sK53(X5))
| ~ r1(X0,X5)
| p2(X5) ),
inference(cnf_transformation,[],[f106]) ).
fof(f1572,plain,
( ! [X2] :
( ~ r1(sK52(sK50(sK79)),X2)
| p2(X2) )
| ~ spl91_17
| spl91_108
| ~ spl91_136 ),
inference(subsumption_resolution,[],[f1566,f1411]) ).
fof(f1411,plain,
( p2(sK52(sK50(sK79)))
| ~ spl91_17
| spl91_108 ),
inference(subsumption_resolution,[],[f1409,f931]) ).
fof(f1409,plain,
( p2(sK50(sK79))
| p2(sK52(sK50(sK79)))
| ~ spl91_17 ),
inference(resolution,[],[f1364,f1366]) ).
fof(f1364,plain,
( ! [X2] :
( ~ r1(sK79,X2)
| p2(sK52(X2))
| p2(X2) )
| ~ spl91_17 ),
inference(resolution,[],[f447,f250]) ).
fof(f250,plain,
! [X0,X5] :
( ~ sP7(X0)
| ~ r1(X0,X5)
| p2(X5)
| p2(sK52(X5)) ),
inference(cnf_transformation,[],[f106]) ).
fof(f1566,plain,
( ! [X2] :
( ~ r1(sK52(sK50(sK79)),X2)
| p2(X2)
| ~ p2(sK52(sK50(sK79))) )
| ~ spl91_17
| spl91_108
| ~ spl91_136 ),
inference(resolution,[],[f1101,f1418]) ).
fof(f1418,plain,
( r1(sK50(sK79),sK52(sK50(sK79)))
| ~ spl91_17
| spl91_108 ),
inference(subsumption_resolution,[],[f1415,f931]) ).
fof(f1415,plain,
( p2(sK50(sK79))
| r1(sK50(sK79),sK52(sK50(sK79)))
| ~ spl91_17 ),
inference(resolution,[],[f1363,f1366]) ).
fof(f1363,plain,
( ! [X1] :
( ~ r1(sK79,X1)
| r1(X1,sK52(X1))
| p2(X1) )
| ~ spl91_17 ),
inference(resolution,[],[f447,f249]) ).
fof(f249,plain,
! [X0,X5] :
( ~ sP7(X0)
| p2(X5)
| ~ r1(X0,X5)
| r1(X5,sK52(X5)) ),
inference(cnf_transformation,[],[f106]) ).
fof(f1101,plain,
( ! [X0,X1] :
( ~ r1(sK50(sK79),X1)
| ~ p2(X1)
| p2(X0)
| ~ r1(X1,X0) )
| ~ spl91_136 ),
inference(avatar_component_clause,[],[f1100]) ).
fof(f1100,plain,
( spl91_136
<=> ! [X0,X1] :
( p2(X0)
| ~ p2(X1)
| ~ r1(sK50(sK79),X1)
| ~ r1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_136])]) ).
fof(f1563,plain,
( ~ spl91_109
| ~ spl91_184
| ~ spl91_185 ),
inference(avatar_contradiction_clause,[],[f1562]) ).
fof(f1562,plain,
( $false
| ~ spl91_109
| ~ spl91_184
| ~ spl91_185 ),
inference(subsumption_resolution,[],[f1558,f935]) ).
fof(f935,plain,
( sP9(sK50(sK79))
| ~ spl91_109 ),
inference(avatar_component_clause,[],[f933]) ).
fof(f933,plain,
( spl91_109
<=> sP9(sK50(sK79)) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_109])]) ).
fof(f1558,plain,
( ~ sP9(sK50(sK79))
| ~ spl91_184
| ~ spl91_185 ),
inference(resolution,[],[f1553,f1544]) ).
fof(f1553,plain,
( ! [X0] :
( ~ r1(X0,sK51(sK79))
| ~ sP9(X0) )
| ~ spl91_185 ),
inference(avatar_component_clause,[],[f1552]) ).
fof(f1552,plain,
( spl91_185
<=> ! [X0] :
( ~ r1(X0,sK51(sK79))
| ~ sP9(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_185])]) ).
fof(f1554,plain,
( spl91_140
| spl91_185
| ~ spl91_183 ),
inference(avatar_split_clause,[],[f1550,f1537,f1552,f1126]) ).
fof(f1537,plain,
( spl91_183
<=> p2(sK47(sK51(sK79))) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_183])]) ).
fof(f1550,plain,
( ! [X0] :
( ~ r1(X0,sK51(sK79))
| ~ sP9(X0)
| p2(sK51(sK79)) )
| ~ spl91_183 ),
inference(resolution,[],[f1539,f239]) ).
fof(f239,plain,
! [X0,X5] :
( ~ p2(sK47(X5))
| ~ r1(X0,X5)
| p2(X5)
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ( ! [X3] :
( ~ p2(X3)
| ~ r1(sK45(X0),X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) ) )
& ~ p2(sK45(X0))
& r1(sK44(X0),sK45(X0))
& r1(X0,sK44(X0))
& ! [X5] :
( p2(X5)
| ( r1(X5,sK46(X5))
& ~ p2(sK47(X5))
& r1(sK46(X5),sK47(X5))
& p2(sK46(X5)) )
| ~ r1(X0,X5) ) )
| ~ sP9(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK44,sK45,sK46,sK47])],[f89,f93,f92,f91,f90]) ).
fof(f90,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ~ r1(X2,X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) ) )
& ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
=> ( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ~ r1(X2,X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) ) )
& ~ p2(X2)
& r1(sK44(X0),X2) )
& r1(X0,sK44(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
! [X0] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ~ r1(X2,X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) ) )
& ~ p2(X2)
& r1(sK44(X0),X2) )
=> ( ! [X3] :
( ~ p2(X3)
| ~ r1(sK45(X0),X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) ) )
& ~ p2(sK45(X0))
& r1(sK44(X0),sK45(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
! [X5] :
( ? [X6] :
( r1(X5,X6)
& ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
& p2(X6) )
=> ( r1(X5,sK46(X5))
& ? [X7] :
( ~ p2(X7)
& r1(sK46(X5),X7) )
& p2(sK46(X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
! [X5] :
( ? [X7] :
( ~ p2(X7)
& r1(sK46(X5),X7) )
=> ( ~ p2(sK47(X5))
& r1(sK46(X5),sK47(X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X0] :
( ( ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ~ r1(X2,X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) ) )
& ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
& ! [X5] :
( p2(X5)
| ? [X6] :
( r1(X5,X6)
& ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
& p2(X6) )
| ~ r1(X0,X5) ) )
| ~ sP9(X0) ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
! [X65] :
( ( ? [X69] :
( ? [X70] :
( ! [X71] :
( ~ p2(X71)
| ~ r1(X70,X71)
| ! [X72] :
( p2(X72)
| ~ r1(X71,X72) ) )
& ~ p2(X70)
& r1(X69,X70) )
& r1(X65,X69) )
& ! [X66] :
( p2(X66)
| ? [X67] :
( r1(X66,X67)
& ? [X68] :
( ~ p2(X68)
& r1(X67,X68) )
& p2(X67) )
| ~ r1(X65,X66) ) )
| ~ sP9(X65) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X65] :
( ( ? [X69] :
( ? [X70] :
( ! [X71] :
( ~ p2(X71)
| ~ r1(X70,X71)
| ! [X72] :
( p2(X72)
| ~ r1(X71,X72) ) )
& ~ p2(X70)
& r1(X69,X70) )
& r1(X65,X69) )
& ! [X66] :
( p2(X66)
| ? [X67] :
( r1(X66,X67)
& ? [X68] :
( ~ p2(X68)
& r1(X67,X68) )
& p2(X67) )
| ~ r1(X65,X66) ) )
| ~ sP9(X65) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f1539,plain,
( p2(sK47(sK51(sK79)))
| ~ spl91_183 ),
inference(avatar_component_clause,[],[f1537]) ).
fof(f1549,plain,
( ~ spl91_17
| spl91_184 ),
inference(avatar_contradiction_clause,[],[f1548]) ).
fof(f1548,plain,
( $false
| ~ spl91_17
| spl91_184 ),
inference(subsumption_resolution,[],[f1547,f447]) ).
fof(f1547,plain,
( ~ sP7(sK79)
| spl91_184 ),
inference(resolution,[],[f1545,f253]) ).
fof(f253,plain,
! [X0] :
( r1(sK50(X0),sK51(X0))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f1545,plain,
( ~ r1(sK50(sK79),sK51(sK79))
| spl91_184 ),
inference(avatar_component_clause,[],[f1543]) ).
fof(f1546,plain,
( ~ spl91_184
| spl91_140
| spl91_183
| ~ spl91_17
| ~ spl91_109
| ~ spl91_142
| ~ spl91_181 ),
inference(avatar_split_clause,[],[f1541,f1519,f1148,f933,f445,f1537,f1126,f1543]) ).
fof(f1148,plain,
( spl91_142
<=> p2(sK46(sK51(sK79))) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_142])]) ).
fof(f1519,plain,
( spl91_181
<=> r1(sK51(sK79),sK46(sK51(sK79))) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_181])]) ).
fof(f1541,plain,
( p2(sK47(sK51(sK79)))
| p2(sK51(sK79))
| ~ r1(sK50(sK79),sK51(sK79))
| ~ spl91_17
| ~ spl91_109
| ~ spl91_142
| ~ spl91_181 ),
inference(resolution,[],[f1369,f1524]) ).
fof(f1524,plain,
( ! [X0] :
( ~ r1(sK46(sK51(sK79)),X0)
| p2(X0) )
| ~ spl91_17
| ~ spl91_142
| ~ spl91_181 ),
inference(subsumption_resolution,[],[f1523,f1150]) ).
fof(f1150,plain,
( p2(sK46(sK51(sK79)))
| ~ spl91_142 ),
inference(avatar_component_clause,[],[f1148]) ).
fof(f1523,plain,
( ! [X0] :
( ~ p2(sK46(sK51(sK79)))
| p2(X0)
| ~ r1(sK46(sK51(sK79)),X0) )
| ~ spl91_17
| ~ spl91_181 ),
inference(resolution,[],[f1521,f1365]) ).
fof(f1521,plain,
( r1(sK51(sK79),sK46(sK51(sK79)))
| ~ spl91_181 ),
inference(avatar_component_clause,[],[f1519]) ).
fof(f1369,plain,
( ! [X0] :
( r1(sK46(X0),sK47(X0))
| ~ r1(sK50(sK79),X0)
| p2(X0) )
| ~ spl91_109 ),
inference(resolution,[],[f935,f238]) ).
fof(f238,plain,
! [X0,X5] :
( ~ sP9(X0)
| r1(sK46(X5),sK47(X5))
| ~ r1(X0,X5)
| p2(X5) ),
inference(cnf_transformation,[],[f94]) ).
fof(f1522,plain,
( spl91_140
| spl91_181
| ~ spl91_17
| ~ spl91_109 ),
inference(avatar_split_clause,[],[f1517,f933,f445,f1519,f1126]) ).
fof(f1517,plain,
( r1(sK51(sK79),sK46(sK51(sK79)))
| p2(sK51(sK79))
| ~ spl91_17
| ~ spl91_109 ),
inference(subsumption_resolution,[],[f1508,f447]) ).
fof(f1508,plain,
( p2(sK51(sK79))
| ~ sP7(sK79)
| r1(sK51(sK79),sK46(sK51(sK79)))
| ~ spl91_109 ),
inference(resolution,[],[f1370,f253]) ).
fof(f1370,plain,
( ! [X1] :
( ~ r1(sK50(sK79),X1)
| p2(X1)
| r1(X1,sK46(X1)) )
| ~ spl91_109 ),
inference(resolution,[],[f935,f240]) ).
fof(f240,plain,
! [X0,X5] :
( ~ sP9(X0)
| r1(X5,sK46(X5))
| p2(X5)
| ~ r1(X0,X5) ),
inference(cnf_transformation,[],[f94]) ).
fof(f1487,plain,
( spl91_18
| ~ spl91_36
| ~ spl91_162 ),
inference(avatar_contradiction_clause,[],[f1486]) ).
fof(f1486,plain,
( $false
| spl91_18
| ~ spl91_36
| ~ spl91_162 ),
inference(subsumption_resolution,[],[f1485,f538]) ).
fof(f538,plain,
( r1(sK64,sK79)
| ~ spl91_36 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f536,plain,
( spl91_36
<=> r1(sK64,sK79) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_36])]) ).
fof(f1485,plain,
( ~ r1(sK64,sK79)
| spl91_18
| ~ spl91_162 ),
inference(subsumption_resolution,[],[f1484,f451]) ).
fof(f451,plain,
( ~ p2(sK79)
| spl91_18 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f449,plain,
( spl91_18
<=> p2(sK79) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_18])]) ).
fof(f1484,plain,
( p2(sK79)
| ~ r1(sK64,sK79)
| ~ spl91_162 ),
inference(resolution,[],[f1326,f313]) ).
fof(f313,plain,
! [X44] :
( ~ p2(sK84(X44))
| p2(X44)
| ~ r1(sK64,X44) ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
( ( p1(sK64)
| ! [X1] :
( ~ r1(sK64,X1)
| p3(X1)
| p1(X1)
| ! [X2] : ~ r1(X1,X2)
| p2(X1)
| p4(X1) )
| ( ~ p2(sK65)
& r1(sK64,sK65)
& sP20(sK65)
& ~ p1(sK65)
& sP21(sK65) )
| p2(sK64) )
& ( ! [X4] : ~ r1(sK64,X4)
| p3(sK64)
| ( r1(sK64,sK66)
& ~ p3(sK66)
& ~ p2(sK66)
& r1(sK66,sK67)
& ~ p1(sK66)
& sP19(sK66) )
| p2(sK64)
| p1(sK64) )
& ~ p2(sK68)
& r1(sK64,sK68)
& ( ( sP17(sK69)
& ~ p1(sK69)
& sP18(sK69)
& r1(sK64,sK69) )
| p1(sK64)
| ! [X9] :
( ! [X10] : ~ r1(X9,X10)
| ~ r1(sK64,X9)
| p2(X9)
| p3(X9)
| p4(X9)
| p1(X9) ) )
& ! [X11] :
( ~ r1(sK64,X11)
| ( p2(sK70(X11))
& r1(sK70(X11),sK71(X11))
& ~ p2(sK71(X11))
& r1(X11,sK70(X11)) )
| p2(X11) )
& ( p1(sK64)
| ( sP16(sK72)
& ~ p1(sK72)
& sP15(sK72)
& r1(sK64,sK72)
& ~ p3(sK72)
& ~ p4(sK72)
& ~ p2(sK72) )
| p2(sK64)
| p3(sK64)
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| ~ r1(sK64,X15)
| p4(X15)
| p3(X15)
| p1(X15)
| p2(X15) )
| p4(sK64) )
& ( p2(sK64)
| ! [X17] : ~ r1(sK64,X17)
| p3(sK64)
| p1(sK64)
| ( r1(sK64,sK73)
& sP13(sK73)
& ~ p1(sK73)
& ~ p2(sK73)
& r1(sK73,sK74)
& ~ p4(sK73)
& ~ p3(sK73) )
| p4(sK64) )
& ( ! [X20] : ~ r1(sK64,X20)
| ( ~ p1(sK75)
& r1(sK75,sK76)
& ! [X23] :
( ( ~ p1(X23)
& r1(X23,sK77(X23)) )
| ~ r1(sK75,X23)
| ! [X25] :
( ! [X26] : ~ r1(X25,X26)
| p1(X25)
| ~ r1(X23,X25) ) )
& r1(sK64,sK75) )
| p1(sK64) )
& r1(sK64,sK78)
& ~ p3(sK78)
& ( sP12(sK64)
| ( r1(sK64,sK79)
& ! [X29] :
( sP10(X29)
| ( ~ p2(X29)
& ! [X30] :
( ! [X31] :
( p2(X31)
| ~ r1(X30,X31) )
| ~ p2(X30)
| ~ r1(X29,X30) ) )
| ~ r1(sK79,X29)
| sP9(X29) )
& ( ( ! [X32] :
( ! [X33] :
( ~ r1(X32,X33)
| p2(X33) )
| ~ p2(X32)
| ~ r1(sK79,X32) )
& ~ p2(sK79) )
| sP7(sK79) ) ) )
& ( ! [X34] :
( p1(X34)
| ! [X35] :
( ~ r1(X34,X35)
| p3(X35)
| p1(X35)
| p4(X35)
| ! [X36] : ~ r1(X35,X36)
| p2(X35) )
| p2(X34)
| p4(X34)
| ~ r1(sK64,X34)
| p3(X34) )
| p1(sK64)
| ( sP5(sK80)
& ~ p1(sK80)
& r1(sK64,sK80)
& sP6(sK80) ) )
& ( p1(sK64)
| ! [X38] :
( ~ r1(sK64,X38)
| p2(X38)
| p3(X38)
| p1(X38)
| ! [X39] : ~ r1(X38,X39)
| p4(X38) )
| p2(sK64)
| p3(sK64)
| ( ~ p1(sK81)
& sP1(sK81)
& sP2(sK81)
& ~ p2(sK81)
& ~ p3(sK81)
& r1(sK64,sK81) ) )
& ! [X41] :
( ~ r1(sK64,X41)
| p3(X41)
| ( r1(X41,sK82(X41))
& p3(sK82(X41))
& ~ p3(sK83(X41))
& r1(sK82(X41),sK83(X41)) ) )
& ! [X44] :
( ( ~ p2(sK84(X44))
& r1(X44,sK84(X44))
& ! [X46] :
( ! [X47] :
( p2(X47)
| ~ r1(X46,X47) )
| ~ p2(X46)
| ~ r1(sK84(X44),X46) ) )
| p2(X44)
| ~ r1(sK64,X44) )
& r1(sK64,sK85)
& ~ p1(sK85)
& ! [X49] :
( p1(X49)
| ( r1(X49,sK86(X49))
& p1(sK86(X49))
& r1(sK86(X49),sK87(X49))
& ~ p1(sK87(X49)) )
| ~ r1(sK64,X49) )
& ( p2(sK64)
| ( r1(sK64,sK88)
& r1(sK88,sK89)
& ~ p2(sK88)
& ~ p1(sK88)
& ! [X54] :
( ( ~ p1(X54)
& ~ p2(X54)
& r1(X54,sK90(X54)) )
| ~ r1(sK88,X54)
| ! [X56] :
( p2(X56)
| ~ r1(X54,X56)
| ! [X57] : ~ r1(X56,X57)
| p1(X56) ) ) )
| ! [X58] : ~ r1(sK64,X58)
| p1(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)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| p1(X1)
| ! [X2] : ~ r1(X1,X2)
| p2(X1)
| p4(X1) )
| ? [X3] :
( ~ p2(X3)
& r1(X0,X3)
& sP20(X3)
& ~ p1(X3)
& sP21(X3) )
| p2(X0) )
& ( ! [X4] : ~ r1(X0,X4)
| p3(X0)
| ? [X5] :
( r1(X0,X5)
& ~ p3(X5)
& ~ p2(X5)
& ? [X6] : r1(X5,X6)
& ~ p1(X5)
& sP19(X5) )
| p2(X0)
| p1(X0) )
& ? [X7] :
( ~ p2(X7)
& r1(X0,X7) )
& ( ? [X8] :
( sP17(X8)
& ~ p1(X8)
& sP18(X8)
& r1(X0,X8) )
| p1(X0)
| ! [X9] :
( ! [X10] : ~ r1(X9,X10)
| ~ r1(X0,X9)
| p2(X9)
| p3(X9)
| p4(X9)
| p1(X9) ) )
& ! [X11] :
( ~ r1(X0,X11)
| ? [X12] :
( p2(X12)
& ? [X13] :
( r1(X12,X13)
& ~ p2(X13) )
& r1(X11,X12) )
| p2(X11) )
& ( p1(X0)
| ? [X14] :
( sP16(X14)
& ~ p1(X14)
& sP15(X14)
& r1(X0,X14)
& ~ p3(X14)
& ~ p4(X14)
& ~ p2(X14) )
| p2(X0)
| p3(X0)
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| ~ r1(X0,X15)
| p4(X15)
| p3(X15)
| p1(X15)
| p2(X15) )
| p4(X0) )
& ( p2(X0)
| ! [X17] : ~ r1(X0,X17)
| p3(X0)
| p1(X0)
| ? [X18] :
( r1(X0,X18)
& sP13(X18)
& ~ p1(X18)
& ~ p2(X18)
& ? [X19] : r1(X18,X19)
& ~ p4(X18)
& ~ p3(X18) )
| p4(X0) )
& ( ! [X20] : ~ r1(X0,X20)
| ? [X21] :
( ~ p1(X21)
& ? [X22] : r1(X21,X22)
& ! [X23] :
( ( ~ p1(X23)
& ? [X24] : r1(X23,X24) )
| ~ r1(X21,X23)
| ! [X25] :
( ! [X26] : ~ r1(X25,X26)
| p1(X25)
| ~ r1(X23,X25) ) )
& r1(X0,X21) )
| p1(X0) )
& ? [X27] :
( r1(X0,X27)
& ~ p3(X27) )
& ( sP12(X0)
| ? [X28] :
( r1(X0,X28)
& ! [X29] :
( sP10(X29)
| ( ~ p2(X29)
& ! [X30] :
( ! [X31] :
( p2(X31)
| ~ r1(X30,X31) )
| ~ p2(X30)
| ~ r1(X29,X30) ) )
| ~ r1(X28,X29)
| sP9(X29) )
& ( ( ! [X32] :
( ! [X33] :
( ~ r1(X32,X33)
| p2(X33) )
| ~ p2(X32)
| ~ r1(X28,X32) )
& ~ p2(X28) )
| sP7(X28) ) ) )
& ( ! [X34] :
( p1(X34)
| ! [X35] :
( ~ r1(X34,X35)
| p3(X35)
| p1(X35)
| p4(X35)
| ! [X36] : ~ r1(X35,X36)
| p2(X35) )
| p2(X34)
| p4(X34)
| ~ r1(X0,X34)
| p3(X34) )
| p1(X0)
| ? [X37] :
( sP5(X37)
& ~ p1(X37)
& r1(X0,X37)
& sP6(X37) ) )
& ( p1(X0)
| ! [X38] :
( ~ r1(X0,X38)
| p2(X38)
| p3(X38)
| p1(X38)
| ! [X39] : ~ r1(X38,X39)
| p4(X38) )
| p2(X0)
| p3(X0)
| ? [X40] :
( ~ p1(X40)
& sP1(X40)
& sP2(X40)
& ~ p2(X40)
& ~ p3(X40)
& r1(X0,X40) ) )
& ! [X41] :
( ~ r1(X0,X41)
| p3(X41)
| ? [X42] :
( r1(X41,X42)
& p3(X42)
& ? [X43] :
( ~ p3(X43)
& r1(X42,X43) ) ) )
& ! [X44] :
( ? [X45] :
( ~ p2(X45)
& r1(X44,X45)
& ! [X46] :
( ! [X47] :
( p2(X47)
| ~ r1(X46,X47) )
| ~ p2(X46)
| ~ r1(X45,X46) ) )
| p2(X44)
| ~ r1(X0,X44) )
& ? [X48] :
( r1(X0,X48)
& ~ p1(X48) )
& ! [X49] :
( p1(X49)
| ? [X50] :
( r1(X49,X50)
& p1(X50)
& ? [X51] :
( r1(X50,X51)
& ~ p1(X51) ) )
| ~ r1(X0,X49) )
& ( p2(X0)
| ? [X52] :
( r1(X0,X52)
& ? [X53] : r1(X52,X53)
& ~ p2(X52)
& ~ p1(X52)
& ! [X54] :
( ( ~ p1(X54)
& ~ p2(X54)
& ? [X55] : r1(X54,X55) )
| ~ r1(X52,X54)
| ! [X56] :
( p2(X56)
| ~ r1(X54,X56)
| ! [X57] : ~ r1(X56,X57)
| p1(X56) ) ) )
| ! [X58] : ~ r1(X0,X58)
| p1(X0) ) )
=> ( ( p1(sK64)
| ! [X1] :
( ~ r1(sK64,X1)
| p3(X1)
| p1(X1)
| ! [X2] : ~ r1(X1,X2)
| p2(X1)
| p4(X1) )
| ? [X3] :
( ~ p2(X3)
& r1(sK64,X3)
& sP20(X3)
& ~ p1(X3)
& sP21(X3) )
| p2(sK64) )
& ( ! [X4] : ~ r1(sK64,X4)
| p3(sK64)
| ? [X5] :
( r1(sK64,X5)
& ~ p3(X5)
& ~ p2(X5)
& ? [X6] : r1(X5,X6)
& ~ p1(X5)
& sP19(X5) )
| p2(sK64)
| p1(sK64) )
& ? [X7] :
( ~ p2(X7)
& r1(sK64,X7) )
& ( ? [X8] :
( sP17(X8)
& ~ p1(X8)
& sP18(X8)
& r1(sK64,X8) )
| p1(sK64)
| ! [X9] :
( ! [X10] : ~ r1(X9,X10)
| ~ r1(sK64,X9)
| p2(X9)
| p3(X9)
| p4(X9)
| p1(X9) ) )
& ! [X11] :
( ~ r1(sK64,X11)
| ? [X12] :
( p2(X12)
& ? [X13] :
( r1(X12,X13)
& ~ p2(X13) )
& r1(X11,X12) )
| p2(X11) )
& ( p1(sK64)
| ? [X14] :
( sP16(X14)
& ~ p1(X14)
& sP15(X14)
& r1(sK64,X14)
& ~ p3(X14)
& ~ p4(X14)
& ~ p2(X14) )
| p2(sK64)
| p3(sK64)
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| ~ r1(sK64,X15)
| p4(X15)
| p3(X15)
| p1(X15)
| p2(X15) )
| p4(sK64) )
& ( p2(sK64)
| ! [X17] : ~ r1(sK64,X17)
| p3(sK64)
| p1(sK64)
| ? [X18] :
( r1(sK64,X18)
& sP13(X18)
& ~ p1(X18)
& ~ p2(X18)
& ? [X19] : r1(X18,X19)
& ~ p4(X18)
& ~ p3(X18) )
| p4(sK64) )
& ( ! [X20] : ~ r1(sK64,X20)
| ? [X21] :
( ~ p1(X21)
& ? [X22] : r1(X21,X22)
& ! [X23] :
( ( ~ p1(X23)
& ? [X24] : r1(X23,X24) )
| ~ r1(X21,X23)
| ! [X25] :
( ! [X26] : ~ r1(X25,X26)
| p1(X25)
| ~ r1(X23,X25) ) )
& r1(sK64,X21) )
| p1(sK64) )
& ? [X27] :
( r1(sK64,X27)
& ~ p3(X27) )
& ( sP12(sK64)
| ? [X28] :
( r1(sK64,X28)
& ! [X29] :
( sP10(X29)
| ( ~ p2(X29)
& ! [X30] :
( ! [X31] :
( p2(X31)
| ~ r1(X30,X31) )
| ~ p2(X30)
| ~ r1(X29,X30) ) )
| ~ r1(X28,X29)
| sP9(X29) )
& ( ( ! [X32] :
( ! [X33] :
( ~ r1(X32,X33)
| p2(X33) )
| ~ p2(X32)
| ~ r1(X28,X32) )
& ~ p2(X28) )
| sP7(X28) ) ) )
& ( ! [X34] :
( p1(X34)
| ! [X35] :
( ~ r1(X34,X35)
| p3(X35)
| p1(X35)
| p4(X35)
| ! [X36] : ~ r1(X35,X36)
| p2(X35) )
| p2(X34)
| p4(X34)
| ~ r1(sK64,X34)
| p3(X34) )
| p1(sK64)
| ? [X37] :
( sP5(X37)
& ~ p1(X37)
& r1(sK64,X37)
& sP6(X37) ) )
& ( p1(sK64)
| ! [X38] :
( ~ r1(sK64,X38)
| p2(X38)
| p3(X38)
| p1(X38)
| ! [X39] : ~ r1(X38,X39)
| p4(X38) )
| p2(sK64)
| p3(sK64)
| ? [X40] :
( ~ p1(X40)
& sP1(X40)
& sP2(X40)
& ~ p2(X40)
& ~ p3(X40)
& r1(sK64,X40) ) )
& ! [X41] :
( ~ r1(sK64,X41)
| p3(X41)
| ? [X42] :
( r1(X41,X42)
& p3(X42)
& ? [X43] :
( ~ p3(X43)
& r1(X42,X43) ) ) )
& ! [X44] :
( ? [X45] :
( ~ p2(X45)
& r1(X44,X45)
& ! [X46] :
( ! [X47] :
( p2(X47)
| ~ r1(X46,X47) )
| ~ p2(X46)
| ~ r1(X45,X46) ) )
| p2(X44)
| ~ r1(sK64,X44) )
& ? [X48] :
( r1(sK64,X48)
& ~ p1(X48) )
& ! [X49] :
( p1(X49)
| ? [X50] :
( r1(X49,X50)
& p1(X50)
& ? [X51] :
( r1(X50,X51)
& ~ p1(X51) ) )
| ~ r1(sK64,X49) )
& ( p2(sK64)
| ? [X52] :
( r1(sK64,X52)
& ? [X53] : r1(X52,X53)
& ~ p2(X52)
& ~ p1(X52)
& ! [X54] :
( ( ~ p1(X54)
& ~ p2(X54)
& ? [X55] : r1(X54,X55) )
| ~ r1(X52,X54)
| ! [X56] :
( p2(X56)
| ~ r1(X54,X56)
| ! [X57] : ~ r1(X56,X57)
| p1(X56) ) ) )
| ! [X58] : ~ r1(sK64,X58)
| p1(sK64) ) ) ),
introduced(choice_axiom,[]) ).
fof(f139,plain,
( ? [X3] :
( ~ p2(X3)
& r1(sK64,X3)
& sP20(X3)
& ~ p1(X3)
& sP21(X3) )
=> ( ~ p2(sK65)
& r1(sK64,sK65)
& sP20(sK65)
& ~ p1(sK65)
& sP21(sK65) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
( ? [X5] :
( r1(sK64,X5)
& ~ p3(X5)
& ~ p2(X5)
& ? [X6] : r1(X5,X6)
& ~ p1(X5)
& sP19(X5) )
=> ( r1(sK64,sK66)
& ~ p3(sK66)
& ~ p2(sK66)
& ? [X6] : r1(sK66,X6)
& ~ p1(sK66)
& sP19(sK66) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
( ? [X6] : r1(sK66,X6)
=> r1(sK66,sK67) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
( ? [X7] :
( ~ p2(X7)
& r1(sK64,X7) )
=> ( ~ p2(sK68)
& r1(sK64,sK68) ) ),
introduced(choice_axiom,[]) ).
fof(f143,plain,
( ? [X8] :
( sP17(X8)
& ~ p1(X8)
& sP18(X8)
& r1(sK64,X8) )
=> ( sP17(sK69)
& ~ p1(sK69)
& sP18(sK69)
& r1(sK64,sK69) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
! [X11] :
( ? [X12] :
( p2(X12)
& ? [X13] :
( r1(X12,X13)
& ~ p2(X13) )
& r1(X11,X12) )
=> ( p2(sK70(X11))
& ? [X13] :
( r1(sK70(X11),X13)
& ~ p2(X13) )
& r1(X11,sK70(X11)) ) ),
introduced(choice_axiom,[]) ).
fof(f145,plain,
! [X11] :
( ? [X13] :
( r1(sK70(X11),X13)
& ~ p2(X13) )
=> ( r1(sK70(X11),sK71(X11))
& ~ p2(sK71(X11)) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
( ? [X14] :
( sP16(X14)
& ~ p1(X14)
& sP15(X14)
& r1(sK64,X14)
& ~ p3(X14)
& ~ p4(X14)
& ~ p2(X14) )
=> ( sP16(sK72)
& ~ p1(sK72)
& sP15(sK72)
& r1(sK64,sK72)
& ~ p3(sK72)
& ~ p4(sK72)
& ~ p2(sK72) ) ),
introduced(choice_axiom,[]) ).
fof(f147,plain,
( ? [X18] :
( r1(sK64,X18)
& sP13(X18)
& ~ p1(X18)
& ~ p2(X18)
& ? [X19] : r1(X18,X19)
& ~ p4(X18)
& ~ p3(X18) )
=> ( r1(sK64,sK73)
& sP13(sK73)
& ~ p1(sK73)
& ~ p2(sK73)
& ? [X19] : r1(sK73,X19)
& ~ p4(sK73)
& ~ p3(sK73) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
( ? [X19] : r1(sK73,X19)
=> r1(sK73,sK74) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
( ? [X21] :
( ~ p1(X21)
& ? [X22] : r1(X21,X22)
& ! [X23] :
( ( ~ p1(X23)
& ? [X24] : r1(X23,X24) )
| ~ r1(X21,X23)
| ! [X25] :
( ! [X26] : ~ r1(X25,X26)
| p1(X25)
| ~ r1(X23,X25) ) )
& r1(sK64,X21) )
=> ( ~ p1(sK75)
& ? [X22] : r1(sK75,X22)
& ! [X23] :
( ( ~ p1(X23)
& ? [X24] : r1(X23,X24) )
| ~ r1(sK75,X23)
| ! [X25] :
( ! [X26] : ~ r1(X25,X26)
| p1(X25)
| ~ r1(X23,X25) ) )
& r1(sK64,sK75) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
( ? [X22] : r1(sK75,X22)
=> r1(sK75,sK76) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
! [X23] :
( ? [X24] : r1(X23,X24)
=> r1(X23,sK77(X23)) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
( ? [X27] :
( r1(sK64,X27)
& ~ p3(X27) )
=> ( r1(sK64,sK78)
& ~ p3(sK78) ) ),
introduced(choice_axiom,[]) ).
fof(f153,plain,
( ? [X28] :
( r1(sK64,X28)
& ! [X29] :
( sP10(X29)
| ( ~ p2(X29)
& ! [X30] :
( ! [X31] :
( p2(X31)
| ~ r1(X30,X31) )
| ~ p2(X30)
| ~ r1(X29,X30) ) )
| ~ r1(X28,X29)
| sP9(X29) )
& ( ( ! [X32] :
( ! [X33] :
( ~ r1(X32,X33)
| p2(X33) )
| ~ p2(X32)
| ~ r1(X28,X32) )
& ~ p2(X28) )
| sP7(X28) ) )
=> ( r1(sK64,sK79)
& ! [X29] :
( sP10(X29)
| ( ~ p2(X29)
& ! [X30] :
( ! [X31] :
( p2(X31)
| ~ r1(X30,X31) )
| ~ p2(X30)
| ~ r1(X29,X30) ) )
| ~ r1(sK79,X29)
| sP9(X29) )
& ( ( ! [X32] :
( ! [X33] :
( ~ r1(X32,X33)
| p2(X33) )
| ~ p2(X32)
| ~ r1(sK79,X32) )
& ~ p2(sK79) )
| sP7(sK79) ) ) ),
introduced(choice_axiom,[]) ).
fof(f154,plain,
( ? [X37] :
( sP5(X37)
& ~ p1(X37)
& r1(sK64,X37)
& sP6(X37) )
=> ( sP5(sK80)
& ~ p1(sK80)
& r1(sK64,sK80)
& sP6(sK80) ) ),
introduced(choice_axiom,[]) ).
fof(f155,plain,
( ? [X40] :
( ~ p1(X40)
& sP1(X40)
& sP2(X40)
& ~ p2(X40)
& ~ p3(X40)
& r1(sK64,X40) )
=> ( ~ p1(sK81)
& sP1(sK81)
& sP2(sK81)
& ~ p2(sK81)
& ~ p3(sK81)
& r1(sK64,sK81) ) ),
introduced(choice_axiom,[]) ).
fof(f156,plain,
! [X41] :
( ? [X42] :
( r1(X41,X42)
& p3(X42)
& ? [X43] :
( ~ p3(X43)
& r1(X42,X43) ) )
=> ( r1(X41,sK82(X41))
& p3(sK82(X41))
& ? [X43] :
( ~ p3(X43)
& r1(sK82(X41),X43) ) ) ),
introduced(choice_axiom,[]) ).
fof(f157,plain,
! [X41] :
( ? [X43] :
( ~ p3(X43)
& r1(sK82(X41),X43) )
=> ( ~ p3(sK83(X41))
& r1(sK82(X41),sK83(X41)) ) ),
introduced(choice_axiom,[]) ).
fof(f158,plain,
! [X44] :
( ? [X45] :
( ~ p2(X45)
& r1(X44,X45)
& ! [X46] :
( ! [X47] :
( p2(X47)
| ~ r1(X46,X47) )
| ~ p2(X46)
| ~ r1(X45,X46) ) )
=> ( ~ p2(sK84(X44))
& r1(X44,sK84(X44))
& ! [X46] :
( ! [X47] :
( p2(X47)
| ~ r1(X46,X47) )
| ~ p2(X46)
| ~ r1(sK84(X44),X46) ) ) ),
introduced(choice_axiom,[]) ).
fof(f159,plain,
( ? [X48] :
( r1(sK64,X48)
& ~ p1(X48) )
=> ( r1(sK64,sK85)
& ~ p1(sK85) ) ),
introduced(choice_axiom,[]) ).
fof(f160,plain,
! [X49] :
( ? [X50] :
( r1(X49,X50)
& p1(X50)
& ? [X51] :
( r1(X50,X51)
& ~ p1(X51) ) )
=> ( r1(X49,sK86(X49))
& p1(sK86(X49))
& ? [X51] :
( r1(sK86(X49),X51)
& ~ p1(X51) ) ) ),
introduced(choice_axiom,[]) ).
fof(f161,plain,
! [X49] :
( ? [X51] :
( r1(sK86(X49),X51)
& ~ p1(X51) )
=> ( r1(sK86(X49),sK87(X49))
& ~ p1(sK87(X49)) ) ),
introduced(choice_axiom,[]) ).
fof(f162,plain,
( ? [X52] :
( r1(sK64,X52)
& ? [X53] : r1(X52,X53)
& ~ p2(X52)
& ~ p1(X52)
& ! [X54] :
( ( ~ p1(X54)
& ~ p2(X54)
& ? [X55] : r1(X54,X55) )
| ~ r1(X52,X54)
| ! [X56] :
( p2(X56)
| ~ r1(X54,X56)
| ! [X57] : ~ r1(X56,X57)
| p1(X56) ) ) )
=> ( r1(sK64,sK88)
& ? [X53] : r1(sK88,X53)
& ~ p2(sK88)
& ~ p1(sK88)
& ! [X54] :
( ( ~ p1(X54)
& ~ p2(X54)
& ? [X55] : r1(X54,X55) )
| ~ r1(sK88,X54)
| ! [X56] :
( p2(X56)
| ~ r1(X54,X56)
| ! [X57] : ~ r1(X56,X57)
| p1(X56) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f163,plain,
( ? [X53] : r1(sK88,X53)
=> r1(sK88,sK89) ),
introduced(choice_axiom,[]) ).
fof(f164,plain,
! [X54] :
( ? [X55] : r1(X54,X55)
=> r1(X54,sK90(X54)) ),
introduced(choice_axiom,[]) ).
fof(f137,plain,
? [X0] :
( ( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| p1(X1)
| ! [X2] : ~ r1(X1,X2)
| p2(X1)
| p4(X1) )
| ? [X3] :
( ~ p2(X3)
& r1(X0,X3)
& sP20(X3)
& ~ p1(X3)
& sP21(X3) )
| p2(X0) )
& ( ! [X4] : ~ r1(X0,X4)
| p3(X0)
| ? [X5] :
( r1(X0,X5)
& ~ p3(X5)
& ~ p2(X5)
& ? [X6] : r1(X5,X6)
& ~ p1(X5)
& sP19(X5) )
| p2(X0)
| p1(X0) )
& ? [X7] :
( ~ p2(X7)
& r1(X0,X7) )
& ( ? [X8] :
( sP17(X8)
& ~ p1(X8)
& sP18(X8)
& r1(X0,X8) )
| p1(X0)
| ! [X9] :
( ! [X10] : ~ r1(X9,X10)
| ~ r1(X0,X9)
| p2(X9)
| p3(X9)
| p4(X9)
| p1(X9) ) )
& ! [X11] :
( ~ r1(X0,X11)
| ? [X12] :
( p2(X12)
& ? [X13] :
( r1(X12,X13)
& ~ p2(X13) )
& r1(X11,X12) )
| p2(X11) )
& ( p1(X0)
| ? [X14] :
( sP16(X14)
& ~ p1(X14)
& sP15(X14)
& r1(X0,X14)
& ~ p3(X14)
& ~ p4(X14)
& ~ p2(X14) )
| p2(X0)
| p3(X0)
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| ~ r1(X0,X15)
| p4(X15)
| p3(X15)
| p1(X15)
| p2(X15) )
| p4(X0) )
& ( p2(X0)
| ! [X17] : ~ r1(X0,X17)
| p3(X0)
| p1(X0)
| ? [X18] :
( r1(X0,X18)
& sP13(X18)
& ~ p1(X18)
& ~ p2(X18)
& ? [X19] : r1(X18,X19)
& ~ p4(X18)
& ~ p3(X18) )
| p4(X0) )
& ( ! [X20] : ~ r1(X0,X20)
| ? [X21] :
( ~ p1(X21)
& ? [X22] : r1(X21,X22)
& ! [X23] :
( ( ~ p1(X23)
& ? [X24] : r1(X23,X24) )
| ~ r1(X21,X23)
| ! [X25] :
( ! [X26] : ~ r1(X25,X26)
| p1(X25)
| ~ r1(X23,X25) ) )
& r1(X0,X21) )
| p1(X0) )
& ? [X27] :
( r1(X0,X27)
& ~ p3(X27) )
& ( sP12(X0)
| ? [X28] :
( r1(X0,X28)
& ! [X29] :
( sP10(X29)
| ( ~ p2(X29)
& ! [X30] :
( ! [X31] :
( p2(X31)
| ~ r1(X30,X31) )
| ~ p2(X30)
| ~ r1(X29,X30) ) )
| ~ r1(X28,X29)
| sP9(X29) )
& ( ( ! [X32] :
( ! [X33] :
( ~ r1(X32,X33)
| p2(X33) )
| ~ p2(X32)
| ~ r1(X28,X32) )
& ~ p2(X28) )
| sP7(X28) ) ) )
& ( ! [X34] :
( p1(X34)
| ! [X35] :
( ~ r1(X34,X35)
| p3(X35)
| p1(X35)
| p4(X35)
| ! [X36] : ~ r1(X35,X36)
| p2(X35) )
| p2(X34)
| p4(X34)
| ~ r1(X0,X34)
| p3(X34) )
| p1(X0)
| ? [X37] :
( sP5(X37)
& ~ p1(X37)
& r1(X0,X37)
& sP6(X37) ) )
& ( p1(X0)
| ! [X38] :
( ~ r1(X0,X38)
| p2(X38)
| p3(X38)
| p1(X38)
| ! [X39] : ~ r1(X38,X39)
| p4(X38) )
| p2(X0)
| p3(X0)
| ? [X40] :
( ~ p1(X40)
& sP1(X40)
& sP2(X40)
& ~ p2(X40)
& ~ p3(X40)
& r1(X0,X40) ) )
& ! [X41] :
( ~ r1(X0,X41)
| p3(X41)
| ? [X42] :
( r1(X41,X42)
& p3(X42)
& ? [X43] :
( ~ p3(X43)
& r1(X42,X43) ) ) )
& ! [X44] :
( ? [X45] :
( ~ p2(X45)
& r1(X44,X45)
& ! [X46] :
( ! [X47] :
( p2(X47)
| ~ r1(X46,X47) )
| ~ p2(X46)
| ~ r1(X45,X46) ) )
| p2(X44)
| ~ r1(X0,X44) )
& ? [X48] :
( r1(X0,X48)
& ~ p1(X48) )
& ! [X49] :
( p1(X49)
| ? [X50] :
( r1(X49,X50)
& p1(X50)
& ? [X51] :
( r1(X50,X51)
& ~ p1(X51) ) )
| ~ r1(X0,X49) )
& ( p2(X0)
| ? [X52] :
( r1(X0,X52)
& ? [X53] : r1(X52,X53)
& ~ p2(X52)
& ~ p1(X52)
& ! [X54] :
( ( ~ p1(X54)
& ~ p2(X54)
& ? [X55] : r1(X54,X55) )
| ~ r1(X52,X54)
| ! [X56] :
( p2(X56)
| ~ r1(X54,X56)
| ! [X57] : ~ r1(X56,X57)
| p1(X56) ) ) )
| ! [X58] : ~ r1(X0,X58)
| p1(X0) ) ),
inference(rectify,[],[f30]) ).
fof(f30,plain,
? [X0] :
( ( p1(X0)
| ! [X35] :
( ~ r1(X0,X35)
| p3(X35)
| p1(X35)
| ! [X36] : ~ r1(X35,X36)
| p2(X35)
| p4(X35) )
| ? [X37] :
( ~ p2(X37)
& r1(X0,X37)
& sP20(X37)
& ~ p1(X37)
& sP21(X37) )
| p2(X0) )
& ( ! [X27] : ~ r1(X0,X27)
| p3(X0)
| ? [X21] :
( r1(X0,X21)
& ~ p3(X21)
& ~ p2(X21)
& ? [X22] : r1(X21,X22)
& ~ p1(X21)
& sP19(X21) )
| p2(X0)
| p1(X0) )
& ? [X139] :
( ~ p2(X139)
& r1(X0,X139) )
& ( ? [X12] :
( sP17(X12)
& ~ p1(X12)
& sP18(X12)
& r1(X0,X12) )
| p1(X0)
| ! [X10] :
( ! [X11] : ~ r1(X10,X11)
| ~ r1(X0,X10)
| p2(X10)
| p3(X10)
| p4(X10)
| p1(X10) ) )
& ! [X140] :
( ~ r1(X0,X140)
| ? [X141] :
( p2(X141)
& ? [X142] :
( r1(X141,X142)
& ~ p2(X142) )
& r1(X140,X141) )
| p2(X140) )
& ( p1(X0)
| ? [X100] :
( sP16(X100)
& ~ p1(X100)
& sP15(X100)
& r1(X0,X100)
& ~ p3(X100)
& ~ p4(X100)
& ~ p2(X100) )
| p2(X0)
| p3(X0)
| ! [X109] :
( ! [X110] : ~ r1(X109,X110)
| ~ r1(X0,X109)
| p4(X109)
| p3(X109)
| p1(X109)
| p2(X109) )
| p4(X0) )
& ( p2(X0)
| ! [X9] : ~ r1(X0,X9)
| p3(X0)
| p1(X0)
| ? [X3] :
( r1(X0,X3)
& sP13(X3)
& ~ p1(X3)
& ~ p2(X3)
& ? [X4] : r1(X3,X4)
& ~ p4(X3)
& ~ p3(X3) )
| p4(X0) )
& ( ! [X111] : ~ r1(X0,X111)
| ? [X112] :
( ~ p1(X112)
& ? [X113] : r1(X112,X113)
& ! [X114] :
( ( ~ p1(X114)
& ? [X115] : r1(X114,X115) )
| ~ r1(X112,X114)
| ! [X116] :
( ! [X117] : ~ r1(X116,X117)
| p1(X116)
| ~ r1(X114,X116) ) )
& r1(X0,X112) )
| p1(X0) )
& ? [X1] :
( r1(X0,X1)
& ~ p3(X1) )
& ( sP12(X0)
| ? [X55] :
( r1(X0,X55)
& ! [X65] :
( sP10(X65)
| ( ~ p2(X65)
& ! [X73] :
( ! [X74] :
( p2(X74)
| ~ r1(X73,X74) )
| ~ p2(X73)
| ~ r1(X65,X73) ) )
| ~ r1(X55,X65)
| sP9(X65) )
& ( ( ! [X63] :
( ! [X64] :
( ~ r1(X63,X64)
| p2(X64) )
| ~ p2(X63)
| ~ r1(X55,X63) )
& ~ p2(X55) )
| sP7(X55) ) ) )
& ( ! [X85] :
( p1(X85)
| ! [X86] :
( ~ r1(X85,X86)
| p3(X86)
| p1(X86)
| p4(X86)
| ! [X87] : ~ r1(X86,X87)
| p2(X86) )
| p2(X85)
| p4(X85)
| ~ r1(X0,X85)
| p3(X85) )
| p1(X0)
| ? [X88] :
( sP5(X88)
& ~ p1(X88)
& r1(X0,X88)
& sP6(X88) ) )
& ( p1(X0)
| ! [X118] :
( ~ r1(X0,X118)
| p2(X118)
| p3(X118)
| p1(X118)
| ! [X119] : ~ r1(X118,X119)
| p4(X118) )
| p2(X0)
| p3(X0)
| ? [X120] :
( ~ p1(X120)
& sP1(X120)
& sP2(X120)
& ~ p2(X120)
& ~ p3(X120)
& r1(X0,X120) ) )
& ! [X136] :
( ~ r1(X0,X136)
| p3(X136)
| ? [X137] :
( r1(X136,X137)
& p3(X137)
& ? [X138] :
( ~ p3(X138)
& r1(X137,X138) ) ) )
& ! [X129] :
( ? [X130] :
( ~ p2(X130)
& r1(X129,X130)
& ! [X131] :
( ! [X132] :
( p2(X132)
| ~ r1(X131,X132) )
| ~ p2(X131)
| ~ r1(X130,X131) ) )
| p2(X129)
| ~ r1(X0,X129) )
& ? [X2] :
( r1(X0,X2)
& ~ p1(X2) )
& ! [X133] :
( p1(X133)
| ? [X134] :
( r1(X133,X134)
& p1(X134)
& ? [X135] :
( r1(X134,X135)
& ~ p1(X135) ) )
| ~ r1(X0,X133) )
& ( p2(X0)
| ? [X29] :
( r1(X0,X29)
& ? [X30] : r1(X29,X30)
& ~ p2(X29)
& ~ p1(X29)
& ! [X31] :
( ( ~ p1(X31)
& ~ p2(X31)
& ? [X32] : r1(X31,X32) )
| ~ r1(X29,X31)
| ! [X33] :
( p2(X33)
| ~ r1(X31,X33)
| ! [X34] : ~ r1(X33,X34)
| p1(X33) ) ) )
| ! [X28] : ~ r1(X0,X28)
| p1(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,
! [X123] :
( ? [X124] :
( ~ p1(X124)
& ~ p2(X124)
& ~ p3(X124)
& ? [X125] : r1(X124,X125)
& ~ p4(X124)
& r1(X123,X124) )
| ~ sP0(X123) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f9,plain,
! [X120] :
( ? [X121] :
( ~ p2(X121)
& r1(X120,X121)
& ~ p1(X121)
& ? [X122] : r1(X121,X122)
& ~ p3(X121)
& ~ p4(X121) )
| ~ sP1(X120) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f10,plain,
! [X120] :
( ! [X123] :
( ( sP0(X123)
& ~ p3(X123)
& ~ p1(X123)
& ~ p2(X123) )
| ~ r1(X120,X123)
| ! [X126] :
( ~ r1(X123,X126)
| p1(X126)
| ! [X127] :
( p4(X127)
| ~ r1(X126,X127)
| ! [X128] : ~ r1(X127,X128)
| p3(X127)
| p1(X127)
| p2(X127) )
| p2(X126)
| p3(X126) ) )
| ~ sP2(X120) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f11,plain,
! [X89] :
( ? [X90] :
( ~ p1(X90)
& ? [X91] : r1(X90,X91)
& r1(X89,X90)
& ~ p4(X90)
& ~ p3(X90)
& ~ p2(X90) )
| ~ sP3(X89) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f12,plain,
! [X93] :
( ? [X94] :
( ~ p3(X94)
& ~ p1(X94)
& ~ p4(X94)
& ? [X95] : r1(X94,X95)
& ~ p2(X94)
& r1(X93,X94) )
| ~ sP4(X93) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f13,plain,
! [X88] :
( ! [X92] :
( ! [X96] :
( ! [X97] :
( p3(X97)
| ! [X98] :
( p1(X98)
| ! [X99] : ~ r1(X98,X99)
| p4(X98)
| p3(X98)
| p2(X98)
| ~ r1(X97,X98) )
| p4(X97)
| p1(X97)
| ~ r1(X96,X97)
| p2(X97) )
| p1(X96)
| ~ r1(X92,X96) )
| ( ~ p1(X92)
& ? [X93] :
( sP4(X93)
& r1(X92,X93)
& ~ p2(X93)
& ~ p3(X93)
& ~ p1(X93)
& ~ p4(X93) ) )
| ~ r1(X88,X92) )
| ~ sP5(X88) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f14,plain,
! [X88] :
( ? [X89] :
( ~ p3(X89)
& ~ p2(X89)
& ~ p1(X89)
& r1(X88,X89)
& ~ p4(X89)
& sP3(X89) )
| ~ sP6(X88) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f16,plain,
! [X75] :
( ! [X76] :
( ~ r1(X75,X76)
| ! [X77] :
( ~ r1(X76,X77)
| ? [X78] :
( p2(X78)
& ? [X79] :
( ~ p2(X79)
& r1(X78,X79) )
& r1(X77,X78) )
| p2(X77) ) )
| ~ sP8(X75) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f19,plain,
! [X0] :
( ! [X49] :
( ! [X50] :
( p2(X50)
| ? [X51] :
( p2(X51)
& r1(X50,X51)
& ? [X52] :
( r1(X51,X52)
& ~ p2(X52) ) )
| ~ r1(X49,X50) )
| ~ r1(X0,X49) )
| ~ sP11(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f20,plain,
! [X0] :
( ( ( sP11(X0)
| ? [X46] :
( ! [X47] :
( ~ p2(X47)
| ! [X48] :
( ~ r1(X47,X48)
| p2(X48) )
| ~ r1(X46,X47) )
& ~ p2(X46)
& r1(X0,X46) ) )
& ( ? [X53] :
( r1(X0,X53)
& ? [X54] :
( r1(X53,X54)
& ~ p2(X54) )
& p2(X53) )
| p2(X0) ) )
| ~ sP12(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f21,plain,
! [X3] :
( ! [X5] :
( ! [X7] :
( p2(X7)
| p3(X7)
| p4(X7)
| p1(X7)
| ~ r1(X5,X7)
| ! [X8] : ~ r1(X7,X8) )
| ~ r1(X3,X5)
| ( ~ p4(X5)
& ~ p1(X5)
& ~ p2(X5)
& ~ p3(X5)
& ? [X6] : r1(X5,X6) ) )
| ~ sP13(X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f22,plain,
! [X103] :
( ? [X104] :
( ~ p4(X104)
& ~ p1(X104)
& ? [X105] : r1(X104,X105)
& ~ p3(X104)
& ~ p2(X104)
& r1(X103,X104) )
| ~ sP14(X103) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f23,plain,
! [X100] :
( ? [X101] :
( ~ p2(X101)
& ? [X102] : r1(X101,X102)
& ~ p4(X101)
& ~ p3(X101)
& ~ p1(X101)
& r1(X100,X101) )
| ~ sP15(X100) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f24,plain,
! [X100] :
( ! [X103] :
( ( ~ p3(X103)
& ~ p4(X103)
& ~ p2(X103)
& sP14(X103)
& ~ p1(X103) )
| ! [X106] :
( ! [X107] :
( p3(X107)
| ! [X108] : ~ r1(X107,X108)
| p1(X107)
| ~ r1(X106,X107)
| p4(X107)
| p2(X107) )
| ~ r1(X103,X106)
| p4(X106)
| p2(X106)
| p1(X106)
| p3(X106) )
| ~ r1(X100,X103) )
| ~ sP16(X100) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f25,plain,
! [X12] :
( ! [X15] :
( ~ r1(X12,X15)
| ( ~ p1(X15)
& ? [X19] :
( ~ p3(X19)
& r1(X15,X19)
& ~ p4(X19)
& ? [X20] : r1(X19,X20)
& ~ p2(X19)
& ~ p1(X19) ) )
| ! [X16] :
( ~ r1(X15,X16)
| p1(X16)
| ! [X17] :
( p2(X17)
| ~ r1(X16,X17)
| p1(X17)
| p4(X17)
| p3(X17)
| ! [X18] : ~ r1(X17,X18) ) ) )
| ~ sP17(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f26,plain,
! [X12] :
( ? [X13] :
( ~ p1(X13)
& ~ p4(X13)
& ~ p3(X13)
& r1(X12,X13)
& ? [X14] : r1(X13,X14)
& ~ p2(X13) )
| ~ sP18(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f27,plain,
! [X21] :
( ! [X23] :
( ~ r1(X21,X23)
| ( ~ p3(X23)
& ? [X26] : r1(X23,X26)
& ~ p1(X23)
& ~ p2(X23) )
| ! [X24] :
( p3(X24)
| p2(X24)
| ! [X25] : ~ r1(X24,X25)
| p1(X24)
| ~ r1(X23,X24) ) )
| ~ sP19(X21) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f28,plain,
! [X37] :
( ! [X40] :
( ! [X43] :
( p1(X43)
| ! [X44] :
( p4(X44)
| p3(X44)
| p2(X44)
| ! [X45] : ~ r1(X44,X45)
| ~ r1(X43,X44)
| p1(X44) )
| ~ r1(X40,X43)
| p2(X43) )
| ~ r1(X37,X40)
| ( ~ p1(X40)
& ~ p2(X40)
& ? [X41] :
( ~ p3(X41)
& r1(X40,X41)
& ~ p1(X41)
& ~ p4(X41)
& ~ p2(X41)
& ? [X42] : r1(X41,X42) ) ) )
| ~ sP20(X37) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f29,plain,
! [X37] :
( ? [X38] :
( r1(X37,X38)
& ~ p1(X38)
& ~ p2(X38)
& ~ p4(X38)
& ? [X39] : r1(X38,X39)
& ~ p3(X38) )
| ~ sP21(X37) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f7,plain,
? [X0] :
( ( p1(X0)
| ! [X35] :
( ~ r1(X0,X35)
| p3(X35)
| p1(X35)
| ! [X36] : ~ r1(X35,X36)
| p2(X35)
| p4(X35) )
| ? [X37] :
( ~ p2(X37)
& r1(X0,X37)
& ! [X40] :
( ! [X43] :
( p1(X43)
| ! [X44] :
( p4(X44)
| p3(X44)
| p2(X44)
| ! [X45] : ~ r1(X44,X45)
| ~ r1(X43,X44)
| p1(X44) )
| ~ r1(X40,X43)
| p2(X43) )
| ~ r1(X37,X40)
| ( ~ p1(X40)
& ~ p2(X40)
& ? [X41] :
( ~ p3(X41)
& r1(X40,X41)
& ~ p1(X41)
& ~ p4(X41)
& ~ p2(X41)
& ? [X42] : r1(X41,X42) ) ) )
& ~ p1(X37)
& ? [X38] :
( r1(X37,X38)
& ~ p1(X38)
& ~ p2(X38)
& ~ p4(X38)
& ? [X39] : r1(X38,X39)
& ~ p3(X38) ) )
| p2(X0) )
& ( ! [X27] : ~ r1(X0,X27)
| p3(X0)
| ? [X21] :
( r1(X0,X21)
& ~ p3(X21)
& ~ p2(X21)
& ? [X22] : r1(X21,X22)
& ~ p1(X21)
& ! [X23] :
( ~ r1(X21,X23)
| ( ~ p3(X23)
& ? [X26] : r1(X23,X26)
& ~ p1(X23)
& ~ p2(X23) )
| ! [X24] :
( p3(X24)
| p2(X24)
| ! [X25] : ~ r1(X24,X25)
| p1(X24)
| ~ r1(X23,X24) ) ) )
| p2(X0)
| p1(X0) )
& ? [X139] :
( ~ p2(X139)
& r1(X0,X139) )
& ( ? [X12] :
( ! [X15] :
( ~ r1(X12,X15)
| ( ~ p1(X15)
& ? [X19] :
( ~ p3(X19)
& r1(X15,X19)
& ~ p4(X19)
& ? [X20] : r1(X19,X20)
& ~ p2(X19)
& ~ p1(X19) ) )
| ! [X16] :
( ~ r1(X15,X16)
| p1(X16)
| ! [X17] :
( p2(X17)
| ~ r1(X16,X17)
| p1(X17)
| p4(X17)
| p3(X17)
| ! [X18] : ~ r1(X17,X18) ) ) )
& ~ p1(X12)
& ? [X13] :
( ~ p1(X13)
& ~ p4(X13)
& ~ p3(X13)
& r1(X12,X13)
& ? [X14] : r1(X13,X14)
& ~ p2(X13) )
& r1(X0,X12) )
| p1(X0)
| ! [X10] :
( ! [X11] : ~ r1(X10,X11)
| ~ r1(X0,X10)
| p2(X10)
| p3(X10)
| p4(X10)
| p1(X10) ) )
& ! [X140] :
( ~ r1(X0,X140)
| ? [X141] :
( p2(X141)
& ? [X142] :
( r1(X141,X142)
& ~ p2(X142) )
& r1(X140,X141) )
| p2(X140) )
& ( p1(X0)
| ? [X100] :
( ! [X103] :
( ( ~ p3(X103)
& ~ p4(X103)
& ~ p2(X103)
& ? [X104] :
( ~ p4(X104)
& ~ p1(X104)
& ? [X105] : r1(X104,X105)
& ~ p3(X104)
& ~ p2(X104)
& r1(X103,X104) )
& ~ p1(X103) )
| ! [X106] :
( ! [X107] :
( p3(X107)
| ! [X108] : ~ r1(X107,X108)
| p1(X107)
| ~ r1(X106,X107)
| p4(X107)
| p2(X107) )
| ~ r1(X103,X106)
| p4(X106)
| p2(X106)
| p1(X106)
| p3(X106) )
| ~ r1(X100,X103) )
& ~ p1(X100)
& ? [X101] :
( ~ p2(X101)
& ? [X102] : r1(X101,X102)
& ~ p4(X101)
& ~ p3(X101)
& ~ p1(X101)
& r1(X100,X101) )
& r1(X0,X100)
& ~ p3(X100)
& ~ p4(X100)
& ~ p2(X100) )
| p2(X0)
| p3(X0)
| ! [X109] :
( ! [X110] : ~ r1(X109,X110)
| ~ r1(X0,X109)
| p4(X109)
| p3(X109)
| p1(X109)
| p2(X109) )
| p4(X0) )
& ( p2(X0)
| ! [X9] : ~ r1(X0,X9)
| p3(X0)
| p1(X0)
| ? [X3] :
( r1(X0,X3)
& ! [X5] :
( ! [X7] :
( p2(X7)
| p3(X7)
| p4(X7)
| p1(X7)
| ~ r1(X5,X7)
| ! [X8] : ~ r1(X7,X8) )
| ~ r1(X3,X5)
| ( ~ p4(X5)
& ~ p1(X5)
& ~ p2(X5)
& ~ p3(X5)
& ? [X6] : r1(X5,X6) ) )
& ~ p1(X3)
& ~ p2(X3)
& ? [X4] : r1(X3,X4)
& ~ p4(X3)
& ~ p3(X3) )
| p4(X0) )
& ( ! [X111] : ~ r1(X0,X111)
| ? [X112] :
( ~ p1(X112)
& ? [X113] : r1(X112,X113)
& ! [X114] :
( ( ~ p1(X114)
& ? [X115] : r1(X114,X115) )
| ~ r1(X112,X114)
| ! [X116] :
( ! [X117] : ~ r1(X116,X117)
| p1(X116)
| ~ r1(X114,X116) ) )
& r1(X0,X112) )
| p1(X0) )
& ? [X1] :
( r1(X0,X1)
& ~ p3(X1) )
& ( ( ( ! [X49] :
( ! [X50] :
( p2(X50)
| ? [X51] :
( p2(X51)
& r1(X50,X51)
& ? [X52] :
( r1(X51,X52)
& ~ p2(X52) ) )
| ~ r1(X49,X50) )
| ~ r1(X0,X49) )
| ? [X46] :
( ! [X47] :
( ~ p2(X47)
| ! [X48] :
( ~ r1(X47,X48)
| p2(X48) )
| ~ r1(X46,X47) )
& ~ p2(X46)
& r1(X0,X46) ) )
& ( ? [X53] :
( r1(X0,X53)
& ? [X54] :
( r1(X53,X54)
& ~ p2(X54) )
& p2(X53) )
| p2(X0) ) )
| ? [X55] :
( r1(X0,X55)
& ! [X65] :
( ! [X75] :
( ~ r1(X65,X75)
| ( ( ? [X80] :
( r1(X75,X80)
& ~ p2(X80)
& ! [X81] :
( ~ p2(X81)
| ! [X82] :
( p2(X82)
| ~ r1(X81,X82) )
| ~ r1(X80,X81) ) )
| ! [X76] :
( ~ r1(X75,X76)
| ! [X77] :
( ~ r1(X76,X77)
| ? [X78] :
( p2(X78)
& ? [X79] :
( ~ p2(X79)
& r1(X78,X79) )
& r1(X77,X78) )
| p2(X77) ) ) )
& ( p2(X75)
| ? [X83] :
( ? [X84] :
( ~ p2(X84)
& r1(X83,X84) )
& p2(X83)
& r1(X75,X83) ) ) ) )
| ( ~ p2(X65)
& ! [X73] :
( ! [X74] :
( p2(X74)
| ~ r1(X73,X74) )
| ~ p2(X73)
| ~ r1(X65,X73) ) )
| ~ r1(X55,X65)
| ( ? [X69] :
( ? [X70] :
( ! [X71] :
( ~ p2(X71)
| ~ r1(X70,X71)
| ! [X72] :
( p2(X72)
| ~ r1(X71,X72) ) )
& ~ p2(X70)
& r1(X69,X70) )
& r1(X65,X69) )
& ! [X66] :
( p2(X66)
| ? [X67] :
( r1(X66,X67)
& ? [X68] :
( ~ p2(X68)
& r1(X67,X68) )
& p2(X67) )
| ~ r1(X65,X66) ) ) )
& ( ( ! [X63] :
( ! [X64] :
( ~ r1(X63,X64)
| p2(X64) )
| ~ p2(X63)
| ~ r1(X55,X63) )
& ~ p2(X55) )
| ( ? [X56] :
( r1(X55,X56)
& ? [X57] :
( ! [X58] :
( ~ r1(X57,X58)
| ! [X59] :
( ~ r1(X58,X59)
| p2(X59) )
| ~ p2(X58) )
& ~ p2(X57)
& r1(X56,X57) ) )
& ! [X60] :
( ~ r1(X55,X60)
| ? [X61] :
( ? [X62] :
( r1(X61,X62)
& ~ p2(X62) )
& p2(X61)
& r1(X60,X61) )
| p2(X60) ) ) ) ) )
& ( ! [X85] :
( p1(X85)
| ! [X86] :
( ~ r1(X85,X86)
| p3(X86)
| p1(X86)
| p4(X86)
| ! [X87] : ~ r1(X86,X87)
| p2(X86) )
| p2(X85)
| p4(X85)
| ~ r1(X0,X85)
| p3(X85) )
| p1(X0)
| ? [X88] :
( ! [X92] :
( ! [X96] :
( ! [X97] :
( p3(X97)
| ! [X98] :
( p1(X98)
| ! [X99] : ~ r1(X98,X99)
| p4(X98)
| p3(X98)
| p2(X98)
| ~ r1(X97,X98) )
| p4(X97)
| p1(X97)
| ~ r1(X96,X97)
| p2(X97) )
| p1(X96)
| ~ r1(X92,X96) )
| ( ~ p1(X92)
& ? [X93] :
( ? [X94] :
( ~ p3(X94)
& ~ p1(X94)
& ~ p4(X94)
& ? [X95] : r1(X94,X95)
& ~ p2(X94)
& r1(X93,X94) )
& r1(X92,X93)
& ~ p2(X93)
& ~ p3(X93)
& ~ p1(X93)
& ~ p4(X93) ) )
| ~ r1(X88,X92) )
& ~ p1(X88)
& r1(X0,X88)
& ? [X89] :
( ~ p3(X89)
& ~ p2(X89)
& ~ p1(X89)
& r1(X88,X89)
& ~ p4(X89)
& ? [X90] :
( ~ p1(X90)
& ? [X91] : r1(X90,X91)
& r1(X89,X90)
& ~ p4(X90)
& ~ p3(X90)
& ~ p2(X90) ) ) ) )
& ( p1(X0)
| ! [X118] :
( ~ r1(X0,X118)
| p2(X118)
| p3(X118)
| p1(X118)
| ! [X119] : ~ r1(X118,X119)
| p4(X118) )
| p2(X0)
| p3(X0)
| ? [X120] :
( ~ p1(X120)
& ? [X121] :
( ~ p2(X121)
& r1(X120,X121)
& ~ p1(X121)
& ? [X122] : r1(X121,X122)
& ~ p3(X121)
& ~ p4(X121) )
& ! [X123] :
( ( ? [X124] :
( ~ p1(X124)
& ~ p2(X124)
& ~ p3(X124)
& ? [X125] : r1(X124,X125)
& ~ p4(X124)
& r1(X123,X124) )
& ~ p3(X123)
& ~ p1(X123)
& ~ p2(X123) )
| ~ r1(X120,X123)
| ! [X126] :
( ~ r1(X123,X126)
| p1(X126)
| ! [X127] :
( p4(X127)
| ~ r1(X126,X127)
| ! [X128] : ~ r1(X127,X128)
| p3(X127)
| p1(X127)
| p2(X127) )
| p2(X126)
| p3(X126) ) )
& ~ p2(X120)
& ~ p3(X120)
& r1(X0,X120) ) )
& ! [X136] :
( ~ r1(X0,X136)
| p3(X136)
| ? [X137] :
( r1(X136,X137)
& p3(X137)
& ? [X138] :
( ~ p3(X138)
& r1(X137,X138) ) ) )
& ! [X129] :
( ? [X130] :
( ~ p2(X130)
& r1(X129,X130)
& ! [X131] :
( ! [X132] :
( p2(X132)
| ~ r1(X131,X132) )
| ~ p2(X131)
| ~ r1(X130,X131) ) )
| p2(X129)
| ~ r1(X0,X129) )
& ? [X2] :
( r1(X0,X2)
& ~ p1(X2) )
& ! [X133] :
( p1(X133)
| ? [X134] :
( r1(X133,X134)
& p1(X134)
& ? [X135] :
( r1(X134,X135)
& ~ p1(X135) ) )
| ~ r1(X0,X133) )
& ( p2(X0)
| ? [X29] :
( r1(X0,X29)
& ? [X30] : r1(X29,X30)
& ~ p2(X29)
& ~ p1(X29)
& ! [X31] :
( ( ~ p1(X31)
& ~ p2(X31)
& ? [X32] : r1(X31,X32) )
| ~ r1(X29,X31)
| ! [X33] :
( p2(X33)
| ~ r1(X31,X33)
| ! [X34] : ~ r1(X33,X34)
| p1(X33) ) ) )
| ! [X28] : ~ r1(X0,X28)
| p1(X0) ) ),
inference(flattening,[],[f6]) ).
fof(f6,plain,
? [X0] :
( ( p1(X0)
| ! [X118] :
( ~ r1(X0,X118)
| p2(X118)
| p3(X118)
| p1(X118)
| ! [X119] : ~ r1(X118,X119)
| p4(X118) )
| p2(X0)
| p3(X0)
| ? [X120] :
( ~ p1(X120)
& ? [X121] :
( ~ p2(X121)
& r1(X120,X121)
& ~ p1(X121)
& ? [X122] : r1(X121,X122)
& ~ p3(X121)
& ~ p4(X121) )
& ! [X123] :
( ( ? [X124] :
( ~ p1(X124)
& ~ p2(X124)
& ~ p3(X124)
& ? [X125] : r1(X124,X125)
& ~ p4(X124)
& r1(X123,X124) )
& ~ p3(X123)
& ~ p1(X123)
& ~ p2(X123) )
| ~ r1(X120,X123)
| ! [X126] :
( ~ r1(X123,X126)
| p1(X126)
| ! [X127] :
( p4(X127)
| ~ r1(X126,X127)
| ! [X128] : ~ r1(X127,X128)
| p3(X127)
| p1(X127)
| p2(X127) )
| p2(X126)
| p3(X126) ) )
& ~ p2(X120)
& ~ p3(X120)
& r1(X0,X120) ) )
& ( p2(X0)
| ? [X29] :
( r1(X0,X29)
& ? [X30] : r1(X29,X30)
& ~ p2(X29)
& ~ p1(X29)
& ! [X31] :
( ( ~ p1(X31)
& ~ p2(X31)
& ? [X32] : r1(X31,X32) )
| ~ r1(X29,X31)
| ! [X33] :
( p2(X33)
| ~ r1(X31,X33)
| ! [X34] : ~ r1(X33,X34)
| p1(X33) ) ) )
| ! [X28] : ~ r1(X0,X28)
| p1(X0) )
& ( ? [X12] :
( ! [X15] :
( ~ r1(X12,X15)
| ( ~ p1(X15)
& ? [X19] :
( ~ p3(X19)
& r1(X15,X19)
& ~ p4(X19)
& ? [X20] : r1(X19,X20)
& ~ p2(X19)
& ~ p1(X19) ) )
| ! [X16] :
( ~ r1(X15,X16)
| p1(X16)
| ! [X17] :
( p2(X17)
| ~ r1(X16,X17)
| p1(X17)
| p4(X17)
| p3(X17)
| ! [X18] : ~ r1(X17,X18) ) ) )
& ~ p1(X12)
& ? [X13] :
( ~ p1(X13)
& ~ p4(X13)
& ~ p3(X13)
& r1(X12,X13)
& ? [X14] : r1(X13,X14)
& ~ p2(X13) )
& r1(X0,X12) )
| p1(X0)
| ! [X10] :
( ! [X11] : ~ r1(X10,X11)
| ~ r1(X0,X10)
| p2(X10)
| p3(X10)
| p4(X10)
| p1(X10) ) )
& ( ! [X27] : ~ r1(X0,X27)
| p3(X0)
| ? [X21] :
( r1(X0,X21)
& ~ p3(X21)
& ~ p2(X21)
& ? [X22] : r1(X21,X22)
& ~ p1(X21)
& ! [X23] :
( ~ r1(X21,X23)
| ( ~ p3(X23)
& ? [X26] : r1(X23,X26)
& ~ p1(X23)
& ~ p2(X23) )
| ! [X24] :
( p3(X24)
| p2(X24)
| ! [X25] : ~ r1(X24,X25)
| p1(X24)
| ~ r1(X23,X24) ) ) )
| p2(X0)
| p1(X0) )
& ( p2(X0)
| ! [X9] : ~ r1(X0,X9)
| p3(X0)
| p1(X0)
| ? [X3] :
( r1(X0,X3)
& ! [X5] :
( ! [X7] :
( p2(X7)
| p3(X7)
| p4(X7)
| p1(X7)
| ~ r1(X5,X7)
| ! [X8] : ~ r1(X7,X8) )
| ~ r1(X3,X5)
| ( ~ p4(X5)
& ~ p1(X5)
& ~ p2(X5)
& ~ p3(X5)
& ? [X6] : r1(X5,X6) ) )
& ~ p1(X3)
& ~ p2(X3)
& ? [X4] : r1(X3,X4)
& ~ p4(X3)
& ~ p3(X3) )
| p4(X0) )
& ( ! [X85] :
( p1(X85)
| ! [X86] :
( ~ r1(X85,X86)
| p3(X86)
| p1(X86)
| p4(X86)
| ! [X87] : ~ r1(X86,X87)
| p2(X86) )
| p2(X85)
| p4(X85)
| ~ r1(X0,X85)
| p3(X85) )
| p1(X0)
| ? [X88] :
( ! [X92] :
( ! [X96] :
( ! [X97] :
( p3(X97)
| ! [X98] :
( p1(X98)
| ! [X99] : ~ r1(X98,X99)
| p4(X98)
| p3(X98)
| p2(X98)
| ~ r1(X97,X98) )
| p4(X97)
| p1(X97)
| ~ r1(X96,X97)
| p2(X97) )
| p1(X96)
| ~ r1(X92,X96) )
| ( ~ p1(X92)
& ? [X93] :
( ? [X94] :
( ~ p3(X94)
& ~ p1(X94)
& ~ p4(X94)
& ? [X95] : r1(X94,X95)
& ~ p2(X94)
& r1(X93,X94) )
& r1(X92,X93)
& ~ p2(X93)
& ~ p3(X93)
& ~ p1(X93)
& ~ p4(X93) ) )
| ~ r1(X88,X92) )
& ~ p1(X88)
& r1(X0,X88)
& ? [X89] :
( ~ p3(X89)
& ~ p2(X89)
& ~ p1(X89)
& r1(X88,X89)
& ~ p4(X89)
& ? [X90] :
( ~ p1(X90)
& ? [X91] : r1(X90,X91)
& r1(X89,X90)
& ~ p4(X90)
& ~ p3(X90)
& ~ p2(X90) ) ) ) )
& ( p1(X0)
| ? [X100] :
( ! [X103] :
( ( ~ p3(X103)
& ~ p4(X103)
& ~ p2(X103)
& ? [X104] :
( ~ p4(X104)
& ~ p1(X104)
& ? [X105] : r1(X104,X105)
& ~ p3(X104)
& ~ p2(X104)
& r1(X103,X104) )
& ~ p1(X103) )
| ! [X106] :
( ! [X107] :
( p3(X107)
| ! [X108] : ~ r1(X107,X108)
| p1(X107)
| ~ r1(X106,X107)
| p4(X107)
| p2(X107) )
| ~ r1(X103,X106)
| p4(X106)
| p2(X106)
| p1(X106)
| p3(X106) )
| ~ r1(X100,X103) )
& ~ p1(X100)
& ? [X101] :
( ~ p2(X101)
& ? [X102] : r1(X101,X102)
& ~ p4(X101)
& ~ p3(X101)
& ~ p1(X101)
& r1(X100,X101) )
& r1(X0,X100)
& ~ p3(X100)
& ~ p4(X100)
& ~ p2(X100) )
| p2(X0)
| p3(X0)
| ! [X109] :
( ! [X110] : ~ r1(X109,X110)
| ~ r1(X0,X109)
| p4(X109)
| p3(X109)
| p1(X109)
| p2(X109) )
| p4(X0) )
& ( ? [X55] :
( r1(X0,X55)
& ! [X65] :
( ( ~ p2(X65)
& ! [X73] :
( ! [X74] :
( p2(X74)
| ~ r1(X73,X74) )
| ~ p2(X73)
| ~ r1(X65,X73) ) )
| ( ? [X69] :
( ? [X70] :
( ! [X71] :
( ~ p2(X71)
| ~ r1(X70,X71)
| ! [X72] :
( p2(X72)
| ~ r1(X71,X72) ) )
& ~ p2(X70)
& r1(X69,X70) )
& r1(X65,X69) )
& ! [X66] :
( p2(X66)
| ? [X67] :
( r1(X66,X67)
& ? [X68] :
( ~ p2(X68)
& r1(X67,X68) )
& p2(X67) )
| ~ r1(X65,X66) ) )
| ~ r1(X55,X65)
| ! [X75] :
( ~ r1(X65,X75)
| ( ( ? [X80] :
( r1(X75,X80)
& ~ p2(X80)
& ! [X81] :
( ~ p2(X81)
| ! [X82] :
( p2(X82)
| ~ r1(X81,X82) )
| ~ r1(X80,X81) ) )
| ! [X76] :
( ~ r1(X75,X76)
| ! [X77] :
( ~ r1(X76,X77)
| ? [X78] :
( p2(X78)
& ? [X79] :
( ~ p2(X79)
& r1(X78,X79) )
& r1(X77,X78) )
| p2(X77) ) ) )
& ( p2(X75)
| ? [X83] :
( ? [X84] :
( ~ p2(X84)
& r1(X83,X84) )
& p2(X83)
& r1(X75,X83) ) ) ) ) )
& ( ( ! [X63] :
( ! [X64] :
( ~ r1(X63,X64)
| p2(X64) )
| ~ p2(X63)
| ~ r1(X55,X63) )
& ~ p2(X55) )
| ( ? [X56] :
( r1(X55,X56)
& ? [X57] :
( ! [X58] :
( ~ r1(X57,X58)
| ! [X59] :
( ~ r1(X58,X59)
| p2(X59) )
| ~ p2(X58) )
& ~ p2(X57)
& r1(X56,X57) ) )
& ! [X60] :
( ~ r1(X55,X60)
| ? [X61] :
( ? [X62] :
( r1(X61,X62)
& ~ p2(X62) )
& p2(X61)
& r1(X60,X61) )
| p2(X60) ) ) ) )
| ( ( ! [X49] :
( ! [X50] :
( p2(X50)
| ? [X51] :
( p2(X51)
& r1(X50,X51)
& ? [X52] :
( r1(X51,X52)
& ~ p2(X52) ) )
| ~ r1(X49,X50) )
| ~ r1(X0,X49) )
| ? [X46] :
( ! [X47] :
( ~ p2(X47)
| ! [X48] :
( ~ r1(X47,X48)
| p2(X48) )
| ~ r1(X46,X47) )
& ~ p2(X46)
& r1(X0,X46) ) )
& ( ? [X53] :
( r1(X0,X53)
& ? [X54] :
( r1(X53,X54)
& ~ p2(X54) )
& p2(X53) )
| p2(X0) ) ) )
& ( p1(X0)
| ! [X35] :
( ~ r1(X0,X35)
| p3(X35)
| p1(X35)
| ! [X36] : ~ r1(X35,X36)
| p2(X35)
| p4(X35) )
| ? [X37] :
( ~ p2(X37)
& r1(X0,X37)
& ! [X40] :
( ! [X43] :
( p1(X43)
| ! [X44] :
( p4(X44)
| p3(X44)
| p2(X44)
| ! [X45] : ~ r1(X44,X45)
| ~ r1(X43,X44)
| p1(X44) )
| ~ r1(X40,X43)
| p2(X43) )
| ~ r1(X37,X40)
| ( ~ p1(X40)
& ~ p2(X40)
& ? [X41] :
( ~ p3(X41)
& r1(X40,X41)
& ~ p1(X41)
& ~ p4(X41)
& ~ p2(X41)
& ? [X42] : r1(X41,X42) ) ) )
& ~ p1(X37)
& ? [X38] :
( r1(X37,X38)
& ~ p1(X38)
& ~ p2(X38)
& ~ p4(X38)
& ? [X39] : r1(X38,X39)
& ~ p3(X38) ) )
| p2(X0) )
& ! [X129] :
( ? [X130] :
( ~ p2(X130)
& r1(X129,X130)
& ! [X131] :
( ! [X132] :
( p2(X132)
| ~ r1(X131,X132) )
| ~ p2(X131)
| ~ r1(X130,X131) ) )
| p2(X129)
| ~ r1(X0,X129) )
& ( ! [X111] : ~ r1(X0,X111)
| ? [X112] :
( ~ p1(X112)
& ? [X113] : r1(X112,X113)
& ! [X114] :
( ( ~ p1(X114)
& ? [X115] : r1(X114,X115) )
| ~ r1(X112,X114)
| ! [X116] :
( ! [X117] : ~ r1(X116,X117)
| p1(X116)
| ~ r1(X114,X116) ) )
& r1(X0,X112) )
| p1(X0) )
& ! [X140] :
( ~ r1(X0,X140)
| ? [X141] :
( p2(X141)
& ? [X142] :
( r1(X141,X142)
& ~ p2(X142) )
& r1(X140,X141) )
| p2(X140) )
& ? [X1] :
( r1(X0,X1)
& ~ p3(X1) )
& ! [X136] :
( ~ r1(X0,X136)
| p3(X136)
| ? [X137] :
( r1(X136,X137)
& p3(X137)
& ? [X138] :
( ~ p3(X138)
& r1(X137,X138) ) ) )
& ? [X139] :
( ~ p2(X139)
& r1(X0,X139) )
& ! [X133] :
( p1(X133)
| ? [X134] :
( r1(X133,X134)
& p1(X134)
& ? [X135] :
( r1(X134,X135)
& ~ p1(X135) ) )
| ~ r1(X0,X133) )
& ? [X2] :
( r1(X0,X2)
& ~ p1(X2) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ( ( p1(X0)
| ! [X118] :
( ~ r1(X0,X118)
| p2(X118)
| p3(X118)
| p1(X118)
| ! [X119] : ~ r1(X118,X119)
| p4(X118) )
| ~ ! [X120] :
( p3(X120)
| p2(X120)
| p1(X120)
| ! [X121] :
( p4(X121)
| ! [X122] : ~ r1(X121,X122)
| ~ r1(X120,X121)
| p1(X121)
| p2(X121)
| p3(X121) )
| ~ r1(X0,X120)
| ~ ! [X123] :
( ~ ( ! [X124] :
( p2(X124)
| ! [X125] : ~ r1(X124,X125)
| p4(X124)
| p1(X124)
| p3(X124)
| ~ r1(X123,X124) )
| p1(X123)
| p3(X123)
| p2(X123) )
| ! [X126] :
( ~ r1(X123,X126)
| p1(X126)
| ! [X127] :
( p4(X127)
| ~ r1(X126,X127)
| ! [X128] : ~ r1(X127,X128)
| p3(X127)
| p1(X127)
| p2(X127) )
| p2(X126)
| p3(X126) )
| ~ r1(X120,X123) ) )
| p2(X0)
| p3(X0) )
& ( p1(X0)
| p2(X0)
| ~ ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p2(X29)
| ~ r1(X0,X29)
| p1(X29)
| ~ ! [X31] :
( ~ r1(X29,X31)
| ~ ( p2(X31)
| ! [X32] : ~ r1(X31,X32)
| p1(X31) )
| ! [X33] :
( p2(X33)
| ~ r1(X31,X33)
| ! [X34] : ~ r1(X33,X34)
| p1(X33) ) ) )
| ! [X28] : ~ r1(X0,X28) )
& ( ~ ! [X12] :
( ~ ! [X15] :
( ~ r1(X12,X15)
| ~ ( p1(X15)
| ! [X19] :
( p2(X19)
| ! [X20] : ~ r1(X19,X20)
| ~ r1(X15,X19)
| p3(X19)
| p4(X19)
| p1(X19) ) )
| ! [X16] :
( ~ r1(X15,X16)
| p1(X16)
| ! [X17] :
( p2(X17)
| ~ r1(X16,X17)
| p1(X17)
| p4(X17)
| p3(X17)
| ! [X18] : ~ r1(X17,X18) ) ) )
| ~ r1(X0,X12)
| ! [X13] :
( p4(X13)
| p2(X13)
| ! [X14] : ~ r1(X13,X14)
| p1(X13)
| p3(X13)
| ~ r1(X12,X13) )
| p1(X12) )
| p1(X0)
| ! [X10] :
( ! [X11] : ~ r1(X10,X11)
| ~ r1(X0,X10)
| p2(X10)
| p3(X10)
| p4(X10)
| p1(X10) ) )
& ( p1(X0)
| p2(X0)
| p3(X0)
| ~ ! [X21] :
( ! [X22] : ~ r1(X21,X22)
| ~ ! [X23] :
( ~ r1(X21,X23)
| ~ ( p3(X23)
| p2(X23)
| ! [X26] : ~ r1(X23,X26)
| p1(X23) )
| ! [X24] :
( p3(X24)
| p2(X24)
| ! [X25] : ~ r1(X24,X25)
| p1(X24)
| ~ r1(X23,X24) ) )
| ~ r1(X0,X21)
| p1(X21)
| p3(X21)
| p2(X21) )
| ! [X27] : ~ r1(X0,X27) )
& ( p1(X0)
| p2(X0)
| ! [X9] : ~ r1(X0,X9)
| p4(X0)
| ~ ! [X3] :
( p2(X3)
| p4(X3)
| ! [X4] : ~ r1(X3,X4)
| ~ r1(X0,X3)
| p3(X3)
| ~ ! [X5] :
( ! [X7] :
( p2(X7)
| p3(X7)
| p4(X7)
| p1(X7)
| ~ r1(X5,X7)
| ! [X8] : ~ r1(X7,X8) )
| ~ ( p2(X5)
| p3(X5)
| p1(X5)
| p4(X5)
| ! [X6] : ~ r1(X5,X6) )
| ~ r1(X3,X5) )
| p1(X3) )
| p3(X0) )
& ( ~ ! [X88] :
( ~ r1(X0,X88)
| ~ ! [X92] :
( ! [X96] :
( ! [X97] :
( p3(X97)
| ! [X98] :
( p1(X98)
| ! [X99] : ~ r1(X98,X99)
| p4(X98)
| p3(X98)
| p2(X98)
| ~ r1(X97,X98) )
| p4(X97)
| p1(X97)
| ~ r1(X96,X97)
| p2(X97) )
| p1(X96)
| ~ r1(X92,X96) )
| ~ r1(X88,X92)
| ~ ( p1(X92)
| ! [X93] :
( p3(X93)
| p2(X93)
| p1(X93)
| ~ r1(X92,X93)
| ! [X94] :
( ~ r1(X93,X94)
| p1(X94)
| p3(X94)
| p2(X94)
| ! [X95] : ~ r1(X94,X95)
| p4(X94) )
| p4(X93) ) ) )
| ! [X89] :
( p1(X89)
| p4(X89)
| ~ r1(X88,X89)
| ! [X90] :
( p4(X90)
| p2(X90)
| ! [X91] : ~ r1(X90,X91)
| p3(X90)
| ~ r1(X89,X90)
| p1(X90) )
| p3(X89)
| p2(X89) )
| p1(X88) )
| p1(X0)
| ! [X85] :
( p1(X85)
| ! [X86] :
( ~ r1(X85,X86)
| p3(X86)
| p1(X86)
| p4(X86)
| ! [X87] : ~ r1(X86,X87)
| p2(X86) )
| p2(X85)
| p4(X85)
| ~ r1(X0,X85)
| p3(X85) ) )
& ( ! [X109] :
( ! [X110] : ~ r1(X109,X110)
| ~ r1(X0,X109)
| p4(X109)
| p3(X109)
| p1(X109)
| p2(X109) )
| p3(X0)
| p4(X0)
| p1(X0)
| p2(X0)
| ~ ! [X100] :
( p3(X100)
| p4(X100)
| ~ r1(X0,X100)
| ! [X101] :
( p3(X101)
| p1(X101)
| ! [X102] : ~ r1(X101,X102)
| p4(X101)
| ~ r1(X100,X101)
| p2(X101) )
| ~ ! [X103] :
( ~ ( p4(X103)
| ! [X104] :
( p4(X104)
| ! [X105] : ~ r1(X104,X105)
| p3(X104)
| ~ r1(X103,X104)
| p1(X104)
| p2(X104) )
| p3(X103)
| p2(X103)
| p1(X103) )
| ~ r1(X100,X103)
| ! [X106] :
( ! [X107] :
( p3(X107)
| ! [X108] : ~ r1(X107,X108)
| p1(X107)
| ~ r1(X106,X107)
| p4(X107)
| p2(X107) )
| ~ r1(X103,X106)
| p4(X106)
| p2(X106)
| p1(X106)
| p3(X106) ) )
| p1(X100)
| p2(X100) ) )
& ( ~ ! [X55] :
( ~ r1(X0,X55)
| ~ ! [X65] :
( ~ ( ( p2(X65)
| ~ ! [X73] :
( ! [X74] :
( p2(X74)
| ~ r1(X73,X74) )
| ~ p2(X73)
| ~ r1(X65,X73) ) )
& ( ~ ! [X66] :
( ~ r1(X65,X66)
| p2(X66)
| ~ ! [X67] :
( ~ r1(X66,X67)
| ~ p2(X67)
| ! [X68] :
( ~ r1(X67,X68)
| p2(X68) ) ) )
| ! [X69] :
( ~ r1(X65,X69)
| ! [X70] :
( ~ ! [X71] :
( ~ p2(X71)
| ~ r1(X70,X71)
| ! [X72] :
( p2(X72)
| ~ r1(X71,X72) ) )
| ~ r1(X69,X70)
| p2(X70) ) ) ) )
| ~ r1(X55,X65)
| ! [X75] :
( ~ r1(X65,X75)
| ( ( p2(X75)
| ~ ! [X83] :
( ~ r1(X75,X83)
| ! [X84] :
( p2(X84)
| ~ r1(X83,X84) )
| ~ p2(X83) ) )
& ( ~ ! [X80] :
( ~ ! [X81] :
( ~ p2(X81)
| ! [X82] :
( p2(X82)
| ~ r1(X81,X82) )
| ~ r1(X80,X81) )
| p2(X80)
| ~ r1(X75,X80) )
| ! [X76] :
( ! [X77] :
( ~ ! [X78] :
( ! [X79] :
( p2(X79)
| ~ r1(X78,X79) )
| ~ p2(X78)
| ~ r1(X77,X78) )
| p2(X77)
| ~ r1(X76,X77) )
| ~ r1(X75,X76) ) ) ) ) )
| ( ( ! [X56] :
( ~ r1(X55,X56)
| ! [X57] :
( ~ r1(X56,X57)
| ~ ! [X58] :
( ~ r1(X57,X58)
| ! [X59] :
( ~ r1(X58,X59)
| p2(X59) )
| ~ p2(X58) )
| p2(X57) ) )
| ~ ! [X60] :
( ~ ! [X61] :
( ~ r1(X60,X61)
| ~ p2(X61)
| ! [X62] :
( ~ r1(X61,X62)
| p2(X62) ) )
| p2(X60)
| ~ r1(X55,X60) ) )
& ( p2(X55)
| ~ ! [X63] :
( ! [X64] :
( ~ r1(X63,X64)
| p2(X64) )
| ~ p2(X63)
| ~ r1(X55,X63) ) ) ) )
| ( ( p2(X0)
| ~ ! [X53] :
( ~ r1(X0,X53)
| ~ p2(X53)
| ! [X54] :
( p2(X54)
| ~ r1(X53,X54) ) ) )
& ( ~ ! [X46] :
( ~ r1(X0,X46)
| ~ ! [X47] :
( ~ p2(X47)
| ! [X48] :
( ~ r1(X47,X48)
| p2(X48) )
| ~ r1(X46,X47) )
| p2(X46) )
| ! [X49] :
( ~ r1(X0,X49)
| ! [X50] :
( ~ r1(X49,X50)
| ~ ! [X51] :
( ~ p2(X51)
| ! [X52] :
( p2(X52)
| ~ r1(X51,X52) )
| ~ r1(X50,X51) )
| p2(X50) ) ) ) ) )
& ( p1(X0)
| ~ ! [X37] :
( ~ ! [X40] :
( ~ r1(X37,X40)
| ~ ( p2(X40)
| ! [X41] :
( ~ r1(X40,X41)
| ! [X42] : ~ r1(X41,X42)
| p3(X41)
| p4(X41)
| p2(X41)
| p1(X41) )
| p1(X40) )
| ! [X43] :
( p1(X43)
| ! [X44] :
( p4(X44)
| p3(X44)
| p2(X44)
| ! [X45] : ~ r1(X44,X45)
| ~ r1(X43,X44)
| p1(X44) )
| ~ r1(X40,X43)
| p2(X43) ) )
| ~ r1(X0,X37)
| p2(X37)
| p1(X37)
| ! [X38] :
( p4(X38)
| p3(X38)
| p2(X38)
| ~ r1(X37,X38)
| p1(X38)
| ! [X39] : ~ r1(X38,X39) ) )
| ! [X35] :
( ~ r1(X0,X35)
| p3(X35)
| p1(X35)
| ! [X36] : ~ r1(X35,X36)
| p2(X35)
| p4(X35) )
| p2(X0) )
& ! [X129] :
( ~ ! [X130] :
( ~ ! [X131] :
( ! [X132] :
( p2(X132)
| ~ r1(X131,X132) )
| ~ p2(X131)
| ~ r1(X130,X131) )
| ~ r1(X129,X130)
| p2(X130) )
| p2(X129)
| ~ r1(X0,X129) )
& ( ~ ! [X112] :
( ~ ! [X114] :
( ~ r1(X112,X114)
| ~ ( ! [X115] : ~ r1(X114,X115)
| p1(X114) )
| ! [X116] :
( ! [X117] : ~ r1(X116,X117)
| p1(X116)
| ~ r1(X114,X116) ) )
| ~ r1(X0,X112)
| ! [X113] : ~ r1(X112,X113)
| p1(X112) )
| ! [X111] : ~ r1(X0,X111)
| p1(X0) ) )
| ~ ! [X140] :
( ~ ! [X141] :
( ~ r1(X140,X141)
| ! [X142] :
( p2(X142)
| ~ r1(X141,X142) )
| ~ p2(X141) )
| p2(X140)
| ~ r1(X0,X140) )
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ ! [X136] :
( ~ ! [X137] :
( ! [X138] :
( ~ r1(X137,X138)
| p3(X138) )
| ~ r1(X136,X137)
| ~ p3(X137) )
| ~ r1(X0,X136)
| p3(X136) )
| ! [X139] :
( ~ r1(X0,X139)
| p2(X139) )
| ~ ! [X133] :
( p1(X133)
| ~ r1(X0,X133)
| ~ ! [X134] :
( ~ r1(X133,X134)
| ! [X135] :
( p1(X135)
| ~ r1(X134,X135) )
| ~ p1(X134) ) )
| ! [X2] :
( ~ r1(X0,X2)
| p1(X2) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ( ( p1(X0)
| ! [X118] :
( ~ r1(X0,X118)
| p2(X118)
| p3(X118)
| p1(X118)
| ! [X119] : ~ r1(X118,X119)
| p4(X118) )
| ~ ! [X120] :
( p3(X120)
| p2(X120)
| p1(X120)
| ! [X121] :
( p4(X121)
| ! [X122] : ~ r1(X121,X122)
| ~ r1(X120,X121)
| p1(X121)
| p2(X121)
| p3(X121) )
| ~ r1(X0,X120)
| ~ ! [X123] :
( ~ ( ! [X124] :
( p2(X124)
| ! [X125] : ~ r1(X124,X125)
| p4(X124)
| p1(X124)
| p3(X124)
| ~ r1(X123,X124) )
| p1(X123)
| p3(X123)
| p2(X123) )
| ! [X126] :
( ~ r1(X123,X126)
| p1(X126)
| ! [X127] :
( p4(X127)
| ~ r1(X126,X127)
| ! [X128] : ~ r1(X127,X128)
| p3(X127)
| p1(X127)
| p2(X127) )
| p2(X126)
| p3(X126) )
| ~ r1(X120,X123) ) )
| p2(X0)
| p3(X0) )
& ( p1(X0)
| p2(X0)
| ~ ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p2(X29)
| ~ r1(X0,X29)
| p1(X29)
| ~ ! [X31] :
( ~ r1(X29,X31)
| ~ ( p2(X31)
| ! [X32] : ~ r1(X31,X32)
| p1(X31) )
| ! [X33] :
( p2(X33)
| ~ r1(X31,X33)
| ! [X34] : ~ r1(X33,X34)
| p1(X33) ) ) )
| ! [X28] : ~ r1(X0,X28) )
& ( ~ ! [X12] :
( ~ ! [X15] :
( ~ r1(X12,X15)
| ~ ( p1(X15)
| ! [X19] :
( p2(X19)
| ! [X20] : ~ r1(X19,X20)
| ~ r1(X15,X19)
| p3(X19)
| p4(X19)
| p1(X19) ) )
| ! [X16] :
( ~ r1(X15,X16)
| p1(X16)
| ! [X17] :
( p2(X17)
| ~ r1(X16,X17)
| p1(X17)
| p4(X17)
| p3(X17)
| ! [X18] : ~ r1(X17,X18) ) ) )
| ~ r1(X0,X12)
| ! [X13] :
( p4(X13)
| p2(X13)
| ! [X14] : ~ r1(X13,X14)
| p1(X13)
| p3(X13)
| ~ r1(X12,X13) )
| p1(X12) )
| p1(X0)
| ! [X10] :
( ! [X11] : ~ r1(X10,X11)
| ~ r1(X0,X10)
| p2(X10)
| p3(X10)
| p4(X10)
| p1(X10) ) )
& ( p1(X0)
| p2(X0)
| p3(X0)
| ~ ! [X21] :
( ! [X22] : ~ r1(X21,X22)
| ~ ! [X23] :
( ~ r1(X21,X23)
| ~ ( p3(X23)
| p2(X23)
| ! [X26] : ~ r1(X23,X26)
| p1(X23) )
| ! [X24] :
( p3(X24)
| p2(X24)
| ! [X25] : ~ r1(X24,X25)
| p1(X24)
| ~ r1(X23,X24) ) )
| ~ r1(X0,X21)
| p1(X21)
| p3(X21)
| p2(X21) )
| ! [X27] : ~ r1(X0,X27) )
& ( p1(X0)
| p2(X0)
| ! [X9] : ~ r1(X0,X9)
| p4(X0)
| ~ ! [X3] :
( p2(X3)
| p4(X3)
| ! [X4] : ~ r1(X3,X4)
| ~ r1(X0,X3)
| p3(X3)
| ~ ! [X5] :
( ! [X7] :
( p2(X7)
| p3(X7)
| p4(X7)
| p1(X7)
| ~ r1(X5,X7)
| ! [X8] : ~ r1(X7,X8) )
| ~ ( p2(X5)
| p3(X5)
| p1(X5)
| p4(X5)
| ! [X6] : ~ r1(X5,X6) )
| ~ r1(X3,X5) )
| p1(X3) )
| p3(X0) )
& ( ~ ! [X88] :
( ~ r1(X0,X88)
| ~ ! [X92] :
( ! [X96] :
( ! [X97] :
( p3(X97)
| ! [X98] :
( p1(X98)
| ! [X99] : ~ r1(X98,X99)
| p4(X98)
| p3(X98)
| p2(X98)
| ~ r1(X97,X98) )
| p4(X97)
| p1(X97)
| ~ r1(X96,X97)
| p2(X97) )
| p1(X96)
| ~ r1(X92,X96) )
| ~ r1(X88,X92)
| ~ ( p1(X92)
| ! [X93] :
( p3(X93)
| p2(X93)
| p1(X93)
| ~ r1(X92,X93)
| ! [X94] :
( ~ r1(X93,X94)
| p1(X94)
| p3(X94)
| p2(X94)
| ! [X95] : ~ r1(X94,X95)
| p4(X94) )
| p4(X93) ) ) )
| ! [X89] :
( p1(X89)
| p4(X89)
| ~ r1(X88,X89)
| ! [X90] :
( p4(X90)
| p2(X90)
| ! [X91] : ~ r1(X90,X91)
| p3(X90)
| ~ r1(X89,X90)
| p1(X90) )
| p3(X89)
| p2(X89) )
| p1(X88) )
| p1(X0)
| ! [X85] :
( p1(X85)
| ! [X86] :
( ~ r1(X85,X86)
| p3(X86)
| p1(X86)
| p4(X86)
| ! [X87] : ~ r1(X86,X87)
| p2(X86) )
| p2(X85)
| p4(X85)
| ~ r1(X0,X85)
| p3(X85) ) )
& ( ! [X109] :
( ! [X110] : ~ r1(X109,X110)
| ~ r1(X0,X109)
| p4(X109)
| p3(X109)
| p1(X109)
| p2(X109) )
| p3(X0)
| p4(X0)
| p1(X0)
| p2(X0)
| ~ ! [X100] :
( p3(X100)
| p4(X100)
| ~ r1(X0,X100)
| ! [X101] :
( p3(X101)
| p1(X101)
| ! [X102] : ~ r1(X101,X102)
| p4(X101)
| ~ r1(X100,X101)
| p2(X101) )
| ~ ! [X103] :
( ~ ( p4(X103)
| ! [X104] :
( p4(X104)
| ! [X105] : ~ r1(X104,X105)
| p3(X104)
| ~ r1(X103,X104)
| p1(X104)
| p2(X104) )
| p3(X103)
| p2(X103)
| p1(X103) )
| ~ r1(X100,X103)
| ! [X106] :
( ! [X107] :
( p3(X107)
| ! [X108] : ~ r1(X107,X108)
| p1(X107)
| ~ r1(X106,X107)
| p4(X107)
| p2(X107) )
| ~ r1(X103,X106)
| p4(X106)
| p2(X106)
| p1(X106)
| p3(X106) ) )
| p1(X100)
| p2(X100) ) )
& ( ~ ! [X55] :
( ~ r1(X0,X55)
| ~ ! [X65] :
( ~ ( ( p2(X65)
| ~ ! [X73] :
( ! [X74] :
( p2(X74)
| ~ r1(X73,X74) )
| ~ p2(X73)
| ~ r1(X65,X73) ) )
& ( ~ ! [X66] :
( ~ r1(X65,X66)
| p2(X66)
| ~ ! [X67] :
( ~ r1(X66,X67)
| ~ p2(X67)
| ! [X68] :
( ~ r1(X67,X68)
| p2(X68) ) ) )
| ! [X69] :
( ~ r1(X65,X69)
| ! [X70] :
( ~ ! [X71] :
( ~ p2(X71)
| ~ r1(X70,X71)
| ! [X72] :
( p2(X72)
| ~ r1(X71,X72) ) )
| ~ r1(X69,X70)
| p2(X70) ) ) ) )
| ~ r1(X55,X65)
| ! [X75] :
( ~ r1(X65,X75)
| ( ( p2(X75)
| ~ ! [X83] :
( ~ r1(X75,X83)
| ! [X84] :
( p2(X84)
| ~ r1(X83,X84) )
| ~ p2(X83) ) )
& ( ~ ! [X80] :
( ~ ! [X81] :
( ~ p2(X81)
| ! [X82] :
( p2(X82)
| ~ r1(X81,X82) )
| ~ r1(X80,X81) )
| p2(X80)
| ~ r1(X75,X80) )
| ! [X76] :
( ! [X77] :
( ~ ! [X78] :
( ! [X79] :
( p2(X79)
| ~ r1(X78,X79) )
| ~ p2(X78)
| ~ r1(X77,X78) )
| p2(X77)
| ~ r1(X76,X77) )
| ~ r1(X75,X76) ) ) ) ) )
| ( ( ! [X56] :
( ~ r1(X55,X56)
| ! [X57] :
( ~ r1(X56,X57)
| ~ ! [X58] :
( ~ r1(X57,X58)
| ! [X59] :
( ~ r1(X58,X59)
| p2(X59) )
| ~ p2(X58) )
| p2(X57) ) )
| ~ ! [X60] :
( ~ ! [X61] :
( ~ r1(X60,X61)
| ~ p2(X61)
| ! [X62] :
( ~ r1(X61,X62)
| p2(X62) ) )
| p2(X60)
| ~ r1(X55,X60) ) )
& ( p2(X55)
| ~ ! [X63] :
( ! [X64] :
( ~ r1(X63,X64)
| p2(X64) )
| ~ p2(X63)
| ~ r1(X55,X63) ) ) ) )
| ( ( p2(X0)
| ~ ! [X53] :
( ~ r1(X0,X53)
| ~ p2(X53)
| ! [X54] :
( p2(X54)
| ~ r1(X53,X54) ) ) )
& ( ~ ! [X46] :
( ~ r1(X0,X46)
| ~ ! [X47] :
( ~ p2(X47)
| ! [X48] :
( ~ r1(X47,X48)
| p2(X48) )
| ~ r1(X46,X47) )
| p2(X46) )
| ! [X49] :
( ~ r1(X0,X49)
| ! [X50] :
( ~ r1(X49,X50)
| ~ ! [X51] :
( ~ p2(X51)
| ! [X52] :
( p2(X52)
| ~ r1(X51,X52) )
| ~ r1(X50,X51) )
| p2(X50) ) ) ) ) )
& ( p1(X0)
| ~ ! [X37] :
( ~ ! [X40] :
( ~ r1(X37,X40)
| ~ ( p2(X40)
| ! [X41] :
( ~ r1(X40,X41)
| ! [X42] : ~ r1(X41,X42)
| p3(X41)
| p4(X41)
| p2(X41)
| p1(X41) )
| p1(X40) )
| ! [X43] :
( p1(X43)
| ! [X44] :
( p4(X44)
| p3(X44)
| p2(X44)
| ! [X45] : ~ r1(X44,X45)
| ~ r1(X43,X44)
| p1(X44) )
| ~ r1(X40,X43)
| p2(X43) ) )
| ~ r1(X0,X37)
| p2(X37)
| p1(X37)
| ! [X38] :
( p4(X38)
| p3(X38)
| p2(X38)
| ~ r1(X37,X38)
| p1(X38)
| ! [X39] : ~ r1(X38,X39) ) )
| ! [X35] :
( ~ r1(X0,X35)
| p3(X35)
| p1(X35)
| ! [X36] : ~ r1(X35,X36)
| p2(X35)
| p4(X35) )
| p2(X0) )
& ! [X129] :
( ~ ! [X130] :
( ~ ! [X131] :
( ! [X132] :
( p2(X132)
| ~ r1(X131,X132) )
| ~ p2(X131)
| ~ r1(X130,X131) )
| ~ r1(X129,X130)
| p2(X130) )
| p2(X129)
| ~ r1(X0,X129) )
& ( ~ ! [X112] :
( ~ ! [X114] :
( ~ r1(X112,X114)
| ~ ( ! [X115] : ~ r1(X114,X115)
| p1(X114) )
| ! [X116] :
( ! [X117] : ~ r1(X116,X117)
| p1(X116)
| ~ r1(X114,X116) ) )
| ~ r1(X0,X112)
| ! [X113] : ~ r1(X112,X113)
| p1(X112) )
| ! [X111] : ~ r1(X0,X111)
| p1(X0) ) )
| ~ ! [X140] :
( ~ ! [X141] :
( ~ r1(X140,X141)
| ! [X142] :
( p2(X142)
| ~ r1(X141,X142) )
| ~ p2(X141) )
| p2(X140)
| ~ r1(X0,X140) )
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ ! [X136] :
( ~ ! [X137] :
( ! [X138] :
( ~ r1(X137,X138)
| p3(X138) )
| ~ r1(X136,X137)
| ~ p3(X137) )
| ~ r1(X0,X136)
| p3(X136) )
| ! [X139] :
( ~ r1(X0,X139)
| p2(X139) )
| ~ ! [X133] :
( p1(X133)
| ~ r1(X0,X133)
| ~ ! [X134] :
( ~ r1(X133,X134)
| ! [X135] :
( p1(X135)
| ~ r1(X134,X135) )
| ~ p1(X134) ) )
| ! [X2] :
( ~ r1(X0,X2)
| p1(X2) ) ),
inference(true_and_false_elimination,[],[f3]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ! [X2] :
( ~ r1(X0,X2)
| p1(X2) )
| ~ ( ( ~ ! [X3] :
( p4(X3)
| p1(X3)
| p3(X3)
| p2(X3)
| ! [X4] :
( ~ r1(X3,X4)
| $false )
| ~ ! [X5] :
( ~ r1(X3,X5)
| ~ ( p1(X5)
| ! [X6] :
( $false
| ~ r1(X5,X6) )
| p4(X5)
| p2(X5)
| p3(X5) )
| ! [X7] :
( p4(X7)
| ~ r1(X5,X7)
| p1(X7)
| p3(X7)
| p2(X7)
| ! [X8] :
( ~ r1(X7,X8)
| $false ) ) )
| ~ r1(X0,X3) )
| p3(X0)
| p2(X0)
| ! [X9] :
( $false
| ~ r1(X0,X9) )
| p4(X0)
| p1(X0) )
& ( ! [X10] :
( p1(X10)
| ~ r1(X0,X10)
| p3(X10)
| ! [X11] :
( ~ r1(X10,X11)
| $false )
| p2(X10)
| p4(X10) )
| ~ ! [X12] :
( ! [X13] :
( p3(X13)
| ! [X14] :
( $false
| ~ r1(X13,X14) )
| p1(X13)
| ~ r1(X12,X13)
| p4(X13)
| p2(X13) )
| p1(X12)
| ~ ! [X15] :
( ~ r1(X12,X15)
| ! [X16] :
( p1(X16)
| ~ r1(X15,X16)
| ! [X17] :
( p2(X17)
| p3(X17)
| p4(X17)
| p1(X17)
| ~ r1(X16,X17)
| ! [X18] :
( $false
| ~ r1(X17,X18) ) ) )
| ~ ( ! [X19] :
( p3(X19)
| ~ r1(X15,X19)
| p2(X19)
| p4(X19)
| p1(X19)
| ! [X20] :
( $false
| ~ r1(X19,X20) ) )
| p1(X15) ) )
| ~ r1(X0,X12) )
| p1(X0) )
& ( p1(X0)
| p3(X0)
| p2(X0)
| ~ ! [X21] :
( p1(X21)
| p3(X21)
| ! [X22] :
( $false
| ~ r1(X21,X22) )
| ~ r1(X0,X21)
| ~ ! [X23] :
( ~ r1(X21,X23)
| ! [X24] :
( p2(X24)
| p1(X24)
| ~ r1(X23,X24)
| ! [X25] :
( $false
| ~ r1(X24,X25) )
| p3(X24) )
| ~ ( p3(X23)
| ! [X26] :
( ~ r1(X23,X26)
| $false )
| p2(X23)
| p1(X23) ) )
| p2(X21) )
| ! [X27] :
( $false
| ~ r1(X0,X27) ) )
& ( p2(X0)
| p1(X0)
| ! [X28] :
( $false
| ~ r1(X0,X28) )
| ~ ! [X29] :
( ! [X30] :
( ~ r1(X29,X30)
| $false )
| p1(X29)
| ~ ! [X31] :
( ~ ( p1(X31)
| ! [X32] :
( $false
| ~ r1(X31,X32) )
| p2(X31) )
| ! [X33] :
( p1(X33)
| ! [X34] :
( $false
| ~ r1(X33,X34) )
| p2(X33)
| ~ r1(X31,X33) )
| ~ r1(X29,X31) )
| p2(X29)
| ~ r1(X0,X29) ) )
& ( ! [X35] :
( p4(X35)
| p1(X35)
| p3(X35)
| p2(X35)
| ! [X36] :
( ~ r1(X35,X36)
| $false )
| ~ r1(X0,X35) )
| ~ ! [X37] :
( p2(X37)
| ! [X38] :
( p4(X38)
| p1(X38)
| p2(X38)
| ~ r1(X37,X38)
| ! [X39] :
( $false
| ~ r1(X38,X39) )
| p3(X38) )
| ~ r1(X0,X37)
| p1(X37)
| ~ ! [X40] :
( ~ ( p2(X40)
| ! [X41] :
( ~ r1(X40,X41)
| p4(X41)
| p3(X41)
| p2(X41)
| ! [X42] :
( ~ r1(X41,X42)
| $false )
| p1(X41) )
| p1(X40) )
| ~ r1(X37,X40)
| ! [X43] :
( ~ r1(X40,X43)
| p2(X43)
| p1(X43)
| ! [X44] :
( p4(X44)
| ~ r1(X43,X44)
| p1(X44)
| p3(X44)
| p2(X44)
| ! [X45] :
( $false
| ~ r1(X44,X45) ) ) ) ) )
| p2(X0)
| p1(X0) )
& ( ~ ! [X55] :
( ~ r1(X0,X55)
| ~ ! [X65] :
( ~ ( ( p2(X65)
| ~ ! [X73] :
( ! [X74] :
( p2(X74)
| ~ r1(X73,X74) )
| ~ p2(X73)
| ~ r1(X65,X73) ) )
& ( ~ ! [X66] :
( ~ r1(X65,X66)
| p2(X66)
| ~ ! [X67] :
( ~ r1(X66,X67)
| ~ p2(X67)
| ! [X68] :
( ~ r1(X67,X68)
| p2(X68) ) ) )
| ! [X69] :
( ~ r1(X65,X69)
| ! [X70] :
( ~ ! [X71] :
( ~ p2(X71)
| ~ r1(X70,X71)
| ! [X72] :
( p2(X72)
| ~ r1(X71,X72) ) )
| ~ r1(X69,X70)
| p2(X70) ) ) ) )
| ~ r1(X55,X65)
| ! [X75] :
( ~ r1(X65,X75)
| ( ( p2(X75)
| ~ ! [X83] :
( ~ r1(X75,X83)
| ! [X84] :
( p2(X84)
| ~ r1(X83,X84) )
| ~ p2(X83) ) )
& ( ~ ! [X80] :
( ~ ! [X81] :
( ~ p2(X81)
| ! [X82] :
( p2(X82)
| ~ r1(X81,X82) )
| ~ r1(X80,X81) )
| p2(X80)
| ~ r1(X75,X80) )
| ! [X76] :
( ! [X77] :
( ~ ! [X78] :
( ! [X79] :
( p2(X79)
| ~ r1(X78,X79) )
| ~ p2(X78)
| ~ r1(X77,X78) )
| p2(X77)
| ~ r1(X76,X77) )
| ~ r1(X75,X76) ) ) ) ) )
| ( ( ! [X56] :
( ~ r1(X55,X56)
| ! [X57] :
( ~ r1(X56,X57)
| ~ ! [X58] :
( ~ r1(X57,X58)
| ! [X59] :
( ~ r1(X58,X59)
| p2(X59) )
| ~ p2(X58) )
| p2(X57) ) )
| ~ ! [X60] :
( ~ ! [X61] :
( ~ r1(X60,X61)
| ~ p2(X61)
| ! [X62] :
( ~ r1(X61,X62)
| p2(X62) ) )
| p2(X60)
| ~ r1(X55,X60) ) )
& ( p2(X55)
| ~ ! [X63] :
( ! [X64] :
( ~ r1(X63,X64)
| p2(X64) )
| ~ p2(X63)
| ~ r1(X55,X63) ) ) ) )
| ( ( p2(X0)
| ~ ! [X53] :
( ~ r1(X0,X53)
| ~ p2(X53)
| ! [X54] :
( p2(X54)
| ~ r1(X53,X54) ) ) )
& ( ~ ! [X46] :
( ~ r1(X0,X46)
| ~ ! [X47] :
( ~ p2(X47)
| ! [X48] :
( ~ r1(X47,X48)
| p2(X48) )
| ~ r1(X46,X47) )
| p2(X46) )
| ! [X49] :
( ~ r1(X0,X49)
| ! [X50] :
( ~ r1(X49,X50)
| ~ ! [X51] :
( ~ p2(X51)
| ! [X52] :
( p2(X52)
| ~ r1(X51,X52) )
| ~ r1(X50,X51) )
| p2(X50) ) ) ) ) )
& ( p1(X0)
| ! [X85] :
( p3(X85)
| p1(X85)
| ~ r1(X0,X85)
| ! [X86] :
( p2(X86)
| p4(X86)
| p3(X86)
| ~ r1(X85,X86)
| p1(X86)
| ! [X87] :
( ~ r1(X86,X87)
| $false ) )
| p2(X85)
| p4(X85) )
| ~ ! [X88] :
( ~ r1(X0,X88)
| ! [X89] :
( ! [X90] :
( p3(X90)
| p2(X90)
| p4(X90)
| ! [X91] :
( ~ r1(X90,X91)
| $false )
| ~ r1(X89,X90)
| p1(X90) )
| p1(X89)
| ~ r1(X88,X89)
| p2(X89)
| p4(X89)
| p3(X89) )
| p1(X88)
| ~ ! [X92] :
( ~ ( p1(X92)
| ! [X93] :
( ! [X94] :
( p4(X94)
| p2(X94)
| ~ r1(X93,X94)
| p3(X94)
| p1(X94)
| ! [X95] :
( $false
| ~ r1(X94,X95) ) )
| p4(X93)
| p2(X93)
| p3(X93)
| p1(X93)
| ~ r1(X92,X93) ) )
| ! [X96] :
( p1(X96)
| ~ r1(X92,X96)
| ! [X97] :
( p4(X97)
| p1(X97)
| p2(X97)
| p3(X97)
| ~ r1(X96,X97)
| ! [X98] :
( ! [X99] :
( ~ r1(X98,X99)
| $false )
| ~ r1(X97,X98)
| p3(X98)
| p4(X98)
| p2(X98)
| p1(X98) ) ) )
| ~ r1(X88,X92) ) ) )
& ( p3(X0)
| ~ ! [X100] :
( ~ r1(X0,X100)
| p3(X100)
| ! [X101] :
( p4(X101)
| p3(X101)
| ! [X102] :
( $false
| ~ r1(X101,X102) )
| ~ r1(X100,X101)
| p1(X101)
| p2(X101) )
| p4(X100)
| p1(X100)
| ~ ! [X103] :
( ~ ( ! [X104] :
( ! [X105] :
( $false
| ~ r1(X104,X105) )
| p3(X104)
| p2(X104)
| p1(X104)
| ~ r1(X103,X104)
| p4(X104) )
| p2(X103)
| p3(X103)
| p1(X103)
| p4(X103) )
| ! [X106] :
( p3(X106)
| ! [X107] :
( p1(X107)
| ~ r1(X106,X107)
| p2(X107)
| ! [X108] :
( $false
| ~ r1(X107,X108) )
| p3(X107)
| p4(X107) )
| p4(X106)
| p1(X106)
| ~ r1(X103,X106)
| p2(X106) )
| ~ r1(X100,X103) )
| p2(X100) )
| ! [X109] :
( ~ r1(X0,X109)
| p4(X109)
| ! [X110] :
( ~ r1(X109,X110)
| $false )
| p1(X109)
| p2(X109)
| p3(X109) )
| p1(X0)
| p2(X0)
| p4(X0) )
& ( ! [X111] :
( $false
| ~ r1(X0,X111) )
| ~ ! [X112] :
( p1(X112)
| ! [X113] :
( ~ r1(X112,X113)
| $false )
| ~ r1(X0,X112)
| ~ ! [X114] :
( ~ ( p1(X114)
| ! [X115] :
( ~ r1(X114,X115)
| $false ) )
| ~ r1(X112,X114)
| ! [X116] :
( ! [X117] :
( $false
| ~ r1(X116,X117) )
| ~ r1(X114,X116)
| p1(X116) ) ) )
| p1(X0) )
& ( ! [X118] :
( p1(X118)
| ~ r1(X0,X118)
| p3(X118)
| ! [X119] :
( $false
| ~ r1(X118,X119) )
| p2(X118)
| p4(X118) )
| p2(X0)
| p3(X0)
| p1(X0)
| ~ ! [X120] :
( ! [X121] :
( p2(X121)
| p1(X121)
| p4(X121)
| ! [X122] :
( $false
| ~ r1(X121,X122) )
| ~ r1(X120,X121)
| p3(X121) )
| ~ r1(X0,X120)
| p1(X120)
| ~ ! [X123] :
( ~ ( p3(X123)
| ! [X124] :
( p2(X124)
| ! [X125] :
( $false
| ~ r1(X124,X125) )
| ~ r1(X123,X124)
| p1(X124)
| p3(X124)
| p4(X124) )
| p2(X123)
| p1(X123) )
| ~ r1(X120,X123)
| ! [X126] :
( p3(X126)
| ! [X127] :
( ~ r1(X126,X127)
| p1(X127)
| ! [X128] :
( $false
| ~ r1(X127,X128) )
| p4(X127)
| p3(X127)
| p2(X127) )
| ~ r1(X123,X126)
| p1(X126)
| p2(X126) ) )
| p2(X120)
| p3(X120) ) )
& ! [X129] :
( ~ ! [X130] :
( ~ ! [X131] :
( ! [X132] :
( p2(X132)
| ~ r1(X131,X132) )
| ~ p2(X131)
| ~ r1(X130,X131) )
| ~ r1(X129,X130)
| p2(X130) )
| p2(X129)
| ~ r1(X0,X129) ) )
| ~ ! [X133] :
( p1(X133)
| ~ r1(X0,X133)
| ~ ! [X134] :
( ~ r1(X133,X134)
| ! [X135] :
( p1(X135)
| ~ r1(X134,X135) )
| ~ p1(X134) ) )
| ~ ! [X136] :
( ~ ! [X137] :
( ! [X138] :
( ~ r1(X137,X138)
| p3(X138) )
| ~ r1(X136,X137)
| ~ p3(X137) )
| ~ r1(X0,X136)
| p3(X136) )
| ! [X139] :
( ~ r1(X0,X139)
| p2(X139) )
| ~ ! [X140] :
( ~ ! [X141] :
( ~ r1(X140,X141)
| ! [X142] :
( p2(X142)
| ~ r1(X141,X142) )
| ~ p2(X141) )
| p2(X140)
| ~ r1(X0,X140) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ ( ( ~ ! [X1] :
( p4(X1)
| p1(X1)
| p3(X1)
| p2(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p1(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p4(X0)
| p2(X0)
| p3(X0) )
| ! [X1] :
( p4(X1)
| ~ r1(X0,X1)
| p1(X1)
| p3(X1)
| p2(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) ) )
| ~ r1(X0,X1) )
| p3(X0)
| p2(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p4(X0)
| p1(X0) )
& ( ! [X1] :
( p1(X1)
| ~ r1(X0,X1)
| p3(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| p2(X1)
| p4(X1) )
| ~ ! [X1] :
( ! [X0] :
( p3(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0)
| p4(X0)
| p2(X0) )
| p1(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1)
| ! [X0] :
( p2(X0)
| p3(X0)
| p4(X0)
| p1(X0)
| ~ r1(X1,X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) ) ) )
| ~ ( ! [X1] :
( p3(X1)
| ~ r1(X0,X1)
| p2(X1)
| p4(X1)
| p1(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) ) )
| p1(X0) ) )
| ~ r1(X0,X1) )
| p1(X0) )
& ( p1(X0)
| p3(X0)
| p2(X0)
| ~ ! [X1] :
( p1(X1)
| p3(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p2(X1)
| p1(X1)
| ~ r1(X0,X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p3(X1) )
| ~ ( p3(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| p2(X0)
| p1(X0) ) )
| p2(X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) ) )
& ( p2(X0)
| p1(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| $false )
| p1(X1)
| ~ ! [X0] :
( ~ ( p1(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p2(X0) )
| ! [X1] :
( p1(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) ) )
& ( ! [X1] :
( p4(X1)
| p1(X1)
| p3(X1)
| p2(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( p2(X1)
| ! [X0] :
( p4(X0)
| p1(X0)
| p2(X0)
| ~ r1(X1,X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p3(X0) )
| ~ r1(X0,X1)
| p1(X1)
| ~ ! [X0] :
( ~ ( p2(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| p1(X1) )
| p1(X0) )
| ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( p4(X0)
| ~ r1(X1,X0)
| p1(X0)
| p3(X0)
| p2(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) ) ) ) ) )
| p2(X0)
| p1(X0) )
& ( ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ r1(X1,X0) )
| p2(X1) )
| ! [X1] :
( ! [X0] :
( p2(X0)
| ~ ! [X1] :
( ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
& ( ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1)
| ~ r1(X0,X1) )
| p2(X0) ) )
| ~ ! [X1] :
( ( ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) ) ) )
| ~ ! [X0] :
( p2(X0)
| ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
& ( ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ r1(X1,X0)
| ~ p2(X0) )
| p2(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( ~ ! [X1] :
( p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( p2(X0)
| ~ ! [X1] :
( ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| ~ p2(X1) )
| ~ r1(X1,X0) ) ) )
& ( p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) ) ) ) )
| ! [X1] :
( ( ( ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| ~ p2(X0) )
| p2(X1) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) ) )
| p2(X0)
| ~ r1(X1,X0) ) )
& ( p2(X1)
| ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) ) )
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X1] :
( p3(X1)
| p1(X1)
| ~ r1(X0,X1)
| ! [X0] :
( p2(X0)
| p4(X0)
| p3(X0)
| ~ r1(X1,X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) )
| p2(X1)
| p4(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ! [X1] :
( p3(X1)
| p2(X1)
| p4(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ r1(X0,X1)
| p1(X1) )
| p1(X0)
| ~ r1(X1,X0)
| p2(X0)
| p4(X0)
| p3(X0) )
| p1(X1)
| ~ ! [X0] :
( ~ ( p1(X0)
| ! [X1] :
( ! [X0] :
( p4(X0)
| p2(X0)
| ~ r1(X1,X0)
| p3(X0)
| p1(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) ) )
| p4(X1)
| p2(X1)
| p3(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1)
| ! [X0] :
( p4(X0)
| p1(X0)
| p2(X0)
| p3(X0)
| ~ r1(X1,X0)
| ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ r1(X0,X1)
| p3(X1)
| p4(X1)
| p2(X1)
| p1(X1) ) ) )
| ~ r1(X1,X0) ) ) )
& ( p3(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| ! [X0] :
( p4(X0)
| p3(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| p1(X0)
| p2(X0) )
| p4(X1)
| p1(X1)
| ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p3(X1)
| p2(X1)
| p1(X1)
| ~ r1(X0,X1)
| p4(X1) )
| p2(X0)
| p3(X0)
| p1(X0)
| p4(X0) )
| ! [X1] :
( p3(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0)
| p2(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p3(X0)
| p4(X0) )
| p4(X1)
| p1(X1)
| ~ r1(X0,X1)
| p2(X1) )
| ~ r1(X1,X0) )
| p2(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| p1(X1)
| p2(X1)
| p3(X1) )
| p1(X0)
| p2(X0)
| p4(X0) )
& ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| ~ ! [X1] :
( p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ ( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) )
| ~ r1(X1,X0)
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| p1(X1) ) ) )
| p1(X0) )
& ( ! [X1] :
( p1(X1)
| ~ r1(X0,X1)
| p3(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p2(X1)
| p4(X1) )
| p2(X0)
| p3(X0)
| p1(X0)
| ~ ! [X1] :
( ! [X0] :
( p2(X0)
| p1(X0)
| p4(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| p3(X0) )
| ~ r1(X0,X1)
| p1(X1)
| ~ ! [X0] :
( ~ ( p3(X0)
| ! [X1] :
( p2(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| p1(X1)
| p3(X1)
| p4(X1) )
| p2(X0)
| p1(X0) )
| ~ r1(X1,X0)
| ! [X1] :
( p3(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p4(X0)
| p3(X0)
| p2(X0) )
| ~ r1(X0,X1)
| p1(X1)
| p2(X1) ) )
| p2(X1)
| p3(X1) ) )
& ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( p2(X0)
| ~ r1(X1,X0)
| ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ r1(X0,X1) ) ) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0) )
| ~ r1(X0,X1)
| p1(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| ~ ! [X0] :
( ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| ~ p3(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) )
| ~ r1(X0,X1)
| p2(X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ ( ( ~ ! [X1] :
( p4(X1)
| p1(X1)
| p3(X1)
| p2(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p1(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p4(X0)
| p2(X0)
| p3(X0) )
| ! [X1] :
( p4(X1)
| ~ r1(X0,X1)
| p1(X1)
| p3(X1)
| p2(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) ) )
| ~ r1(X0,X1) )
| p3(X0)
| p2(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p4(X0)
| p1(X0) )
& ( ! [X1] :
( p1(X1)
| ~ r1(X0,X1)
| p3(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| p2(X1)
| p4(X1) )
| ~ ! [X1] :
( ! [X0] :
( p3(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| ~ r1(X1,X0)
| p4(X0)
| p2(X0) )
| p1(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1)
| ! [X0] :
( p2(X0)
| p3(X0)
| p4(X0)
| p1(X0)
| ~ r1(X1,X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) ) ) )
| ~ ( ! [X1] :
( p3(X1)
| ~ r1(X0,X1)
| p2(X1)
| p4(X1)
| p1(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) ) )
| p1(X0) ) )
| ~ r1(X0,X1) )
| p1(X0) )
& ( p1(X0)
| p3(X0)
| p2(X0)
| ~ ! [X1] :
( p1(X1)
| p3(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p2(X1)
| p1(X1)
| ~ r1(X0,X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p3(X1) )
| ~ ( p3(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| p2(X0)
| p1(X0) ) )
| p2(X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) ) )
& ( p2(X0)
| p1(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| $false )
| p1(X1)
| ~ ! [X0] :
( ~ ( p1(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p2(X0) )
| ! [X1] :
( p1(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) ) )
& ( ! [X1] :
( p4(X1)
| p1(X1)
| p3(X1)
| p2(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( p2(X1)
| ! [X0] :
( p4(X0)
| p1(X0)
| p2(X0)
| ~ r1(X1,X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p3(X0) )
| ~ r1(X0,X1)
| p1(X1)
| ~ ! [X0] :
( ~ ( p2(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| p1(X1) )
| p1(X0) )
| ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( p4(X0)
| ~ r1(X1,X0)
| p1(X0)
| p3(X0)
| p2(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) ) ) ) ) )
| p2(X0)
| p1(X0) )
& ( ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ r1(X1,X0) )
| p2(X1) )
| ! [X1] :
( ! [X0] :
( p2(X0)
| ~ ! [X1] :
( ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
& ( ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1)
| ~ r1(X0,X1) )
| p2(X0) ) )
| ~ ! [X1] :
( ( ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) ) ) )
| ~ ! [X0] :
( p2(X0)
| ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
& ( ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ r1(X1,X0)
| ~ p2(X0) )
| p2(X1) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( ~ ! [X1] :
( p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( p2(X0)
| ~ ! [X1] :
( ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| ~ p2(X1) )
| ~ r1(X1,X0) ) ) )
& ( p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) ) ) ) )
| ! [X1] :
( ( ( ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| ~ p2(X0) )
| p2(X1) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) ) )
| p2(X0)
| ~ r1(X1,X0) ) )
& ( p2(X1)
| ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) ) )
| ~ r1(X0,X1) ) )
& ( p1(X0)
| ! [X1] :
( p3(X1)
| p1(X1)
| ~ r1(X0,X1)
| ! [X0] :
( p2(X0)
| p4(X0)
| p3(X0)
| ~ r1(X1,X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) )
| p2(X1)
| p4(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ! [X1] :
( p3(X1)
| p2(X1)
| p4(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ r1(X0,X1)
| p1(X1) )
| p1(X0)
| ~ r1(X1,X0)
| p2(X0)
| p4(X0)
| p3(X0) )
| p1(X1)
| ~ ! [X0] :
( ~ ( p1(X0)
| ! [X1] :
( ! [X0] :
( p4(X0)
| p2(X0)
| ~ r1(X1,X0)
| p3(X0)
| p1(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) ) )
| p4(X1)
| p2(X1)
| p3(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1)
| ! [X0] :
( p4(X0)
| p1(X0)
| p2(X0)
| p3(X0)
| ~ r1(X1,X0)
| ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ r1(X0,X1)
| p3(X1)
| p4(X1)
| p2(X1)
| p1(X1) ) ) )
| ~ r1(X1,X0) ) ) )
& ( p3(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| ! [X0] :
( p4(X0)
| p3(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| p1(X0)
| p2(X0) )
| p4(X1)
| p1(X1)
| ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p3(X1)
| p2(X1)
| p1(X1)
| ~ r1(X0,X1)
| p4(X1) )
| p2(X0)
| p3(X0)
| p1(X0)
| p4(X0) )
| ! [X1] :
( p3(X1)
| ! [X0] :
( p1(X0)
| ~ r1(X1,X0)
| p2(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p3(X0)
| p4(X0) )
| p4(X1)
| p1(X1)
| ~ r1(X0,X1)
| p2(X1) )
| ~ r1(X1,X0) )
| p2(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| p1(X1)
| p2(X1)
| p3(X1) )
| p1(X0)
| p2(X0)
| p4(X0) )
& ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| ~ ! [X1] :
( p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ ( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) )
| ~ r1(X1,X0)
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| p1(X1) ) ) )
| p1(X0) )
& ( ! [X1] :
( p1(X1)
| ~ r1(X0,X1)
| p3(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p2(X1)
| p4(X1) )
| p2(X0)
| p3(X0)
| p1(X0)
| ~ ! [X1] :
( ! [X0] :
( p2(X0)
| p1(X0)
| p4(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| p3(X0) )
| ~ r1(X0,X1)
| p1(X1)
| ~ ! [X0] :
( ~ ( p3(X0)
| ! [X1] :
( p2(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| p1(X1)
| p3(X1)
| p4(X1) )
| p2(X0)
| p1(X0) )
| ~ r1(X1,X0)
| ! [X1] :
( p3(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p1(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p4(X0)
| p3(X0)
| p2(X0) )
| ~ r1(X0,X1)
| p1(X1)
| p2(X1) ) )
| p2(X1)
| p3(X1) ) )
& ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( p2(X0)
| ~ r1(X1,X0)
| ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ r1(X0,X1) ) ) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0) )
| ~ r1(X0,X1)
| p1(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| ~ ! [X0] :
( ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| ~ p3(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) )
| ~ r1(X0,X1)
| p2(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f1326,plain,
( p2(sK84(sK79))
| ~ spl91_162 ),
inference(avatar_component_clause,[],[f1325]) ).
fof(f1325,plain,
( spl91_162
<=> p2(sK84(sK79)) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_162])]) ).
fof(f1483,plain,
( ~ spl91_17
| spl91_18
| ~ spl91_36
| ~ spl91_126
| spl91_162 ),
inference(avatar_contradiction_clause,[],[f1482]) ).
fof(f1482,plain,
( $false
| ~ spl91_17
| spl91_18
| ~ spl91_36
| ~ spl91_126
| spl91_162 ),
inference(subsumption_resolution,[],[f1481,f1048]) ).
fof(f1048,plain,
( r1(sK79,sK84(sK79))
| ~ spl91_126 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f1046,plain,
( spl91_126
<=> r1(sK79,sK84(sK79)) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_126])]) ).
fof(f1481,plain,
( ~ r1(sK79,sK84(sK79))
| ~ spl91_17
| spl91_18
| ~ spl91_36
| ~ spl91_126
| spl91_162 ),
inference(resolution,[],[f1480,f447]) ).
fof(f1480,plain,
( ! [X0] :
( ~ sP7(X0)
| ~ r1(X0,sK84(sK79)) )
| ~ spl91_17
| spl91_18
| ~ spl91_36
| ~ spl91_126
| spl91_162 ),
inference(subsumption_resolution,[],[f1479,f1327]) ).
fof(f1327,plain,
( ~ p2(sK84(sK79))
| spl91_162 ),
inference(avatar_component_clause,[],[f1325]) ).
fof(f1479,plain,
( ! [X0] :
( p2(sK84(sK79))
| ~ r1(X0,sK84(sK79))
| ~ sP7(X0) )
| ~ spl91_17
| spl91_18
| ~ spl91_36
| ~ spl91_126
| spl91_162 ),
inference(resolution,[],[f1478,f251]) ).
fof(f1478,plain,
( p2(sK53(sK84(sK79)))
| ~ spl91_17
| spl91_18
| ~ spl91_36
| ~ spl91_126
| spl91_162 ),
inference(subsumption_resolution,[],[f1477,f1327]) ).
fof(f1477,plain,
( p2(sK84(sK79))
| p2(sK53(sK84(sK79)))
| ~ spl91_17
| spl91_18
| ~ spl91_36
| ~ spl91_126
| spl91_162 ),
inference(subsumption_resolution,[],[f1476,f1048]) ).
fof(f1476,plain,
( p2(sK53(sK84(sK79)))
| ~ r1(sK79,sK84(sK79))
| p2(sK84(sK79))
| ~ spl91_17
| spl91_18
| ~ spl91_36
| ~ spl91_126
| spl91_162 ),
inference(resolution,[],[f1362,f1422]) ).
fof(f1422,plain,
( ! [X0] :
( ~ r1(sK52(sK84(sK79)),X0)
| p2(X0) )
| ~ spl91_17
| spl91_18
| ~ spl91_36
| ~ spl91_126
| spl91_162 ),
inference(subsumption_resolution,[],[f1421,f538]) ).
fof(f1421,plain,
( ! [X0] :
( ~ r1(sK52(sK84(sK79)),X0)
| ~ r1(sK64,sK79)
| p2(X0) )
| ~ spl91_17
| spl91_18
| ~ spl91_126
| spl91_162 ),
inference(subsumption_resolution,[],[f1420,f451]) ).
fof(f1420,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK52(sK84(sK79)),X0)
| p2(sK79)
| ~ r1(sK64,sK79) )
| ~ spl91_17
| ~ spl91_126
| spl91_162 ),
inference(subsumption_resolution,[],[f1419,f1412]) ).
fof(f1412,plain,
( p2(sK52(sK84(sK79)))
| ~ spl91_17
| ~ spl91_126
| spl91_162 ),
inference(subsumption_resolution,[],[f1407,f1327]) ).
fof(f1407,plain,
( p2(sK84(sK79))
| p2(sK52(sK84(sK79)))
| ~ spl91_17
| ~ spl91_126 ),
inference(resolution,[],[f1364,f1048]) ).
fof(f1419,plain,
( ! [X0] :
( ~ p2(sK52(sK84(sK79)))
| p2(X0)
| ~ r1(sK64,sK79)
| p2(sK79)
| ~ r1(sK52(sK84(sK79)),X0) )
| ~ spl91_17
| ~ spl91_126
| spl91_162 ),
inference(resolution,[],[f1417,f311]) ).
fof(f311,plain,
! [X46,X47,X44] :
( ~ r1(sK84(X44),X46)
| p2(X47)
| p2(X44)
| ~ r1(X46,X47)
| ~ r1(sK64,X44)
| ~ p2(X46) ),
inference(cnf_transformation,[],[f165]) ).
fof(f1417,plain,
( r1(sK84(sK79),sK52(sK84(sK79)))
| ~ spl91_17
| ~ spl91_126
| spl91_162 ),
inference(subsumption_resolution,[],[f1413,f1327]) ).
fof(f1413,plain,
( p2(sK84(sK79))
| r1(sK84(sK79),sK52(sK84(sK79)))
| ~ spl91_17
| ~ spl91_126 ),
inference(resolution,[],[f1363,f1048]) ).
fof(f1361,plain,
( spl91_18
| ~ spl91_36
| ~ spl91_52
| ~ spl91_98
| ~ spl91_128 ),
inference(avatar_contradiction_clause,[],[f1360]) ).
fof(f1360,plain,
( $false
| spl91_18
| ~ spl91_36
| ~ spl91_52
| ~ spl91_98
| ~ spl91_128 ),
inference(subsumption_resolution,[],[f1359,f451]) ).
fof(f1359,plain,
( p2(sK79)
| spl91_18
| ~ spl91_36
| ~ spl91_52
| ~ spl91_98
| ~ spl91_128 ),
inference(subsumption_resolution,[],[f1358,f538]) ).
fof(f1358,plain,
( ~ r1(sK64,sK79)
| p2(sK79)
| spl91_18
| ~ spl91_36
| ~ spl91_52
| ~ spl91_98
| ~ spl91_128 ),
inference(resolution,[],[f1357,f355]) ).
fof(f355,plain,
! [X11] :
( ~ p2(sK71(X11))
| ~ r1(sK64,X11)
| p2(X11) ),
inference(cnf_transformation,[],[f165]) ).
fof(f1357,plain,
( p2(sK71(sK79))
| spl91_18
| ~ spl91_36
| ~ spl91_52
| ~ spl91_98
| ~ spl91_128 ),
inference(subsumption_resolution,[],[f1356,f538]) ).
fof(f1356,plain,
( ~ r1(sK64,sK79)
| p2(sK71(sK79))
| spl91_18
| ~ spl91_52
| ~ spl91_98
| ~ spl91_128 ),
inference(subsumption_resolution,[],[f1353,f451]) ).
fof(f1353,plain,
( p2(sK71(sK79))
| p2(sK79)
| ~ r1(sK64,sK79)
| ~ spl91_52
| ~ spl91_98
| ~ spl91_128 ),
inference(resolution,[],[f1347,f356]) ).
fof(f356,plain,
! [X11] :
( r1(sK70(X11),sK71(X11))
| p2(X11)
| ~ r1(sK64,X11) ),
inference(cnf_transformation,[],[f165]) ).
fof(f1347,plain,
( ! [X0] :
( ~ r1(sK70(sK79),X0)
| p2(X0) )
| ~ spl91_52
| ~ spl91_98
| ~ spl91_128 ),
inference(subsumption_resolution,[],[f1335,f859]) ).
fof(f859,plain,
( p2(sK70(sK79))
| ~ spl91_98 ),
inference(avatar_component_clause,[],[f857]) ).
fof(f857,plain,
( spl91_98
<=> p2(sK70(sK79)) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_98])]) ).
fof(f1335,plain,
( ! [X0] :
( p2(X0)
| ~ p2(sK70(sK79))
| ~ r1(sK70(sK79),X0) )
| ~ spl91_52
| ~ spl91_128 ),
inference(resolution,[],[f1058,f615]) ).
fof(f615,plain,
( ! [X32,X33] :
( ~ r1(sK79,X32)
| p2(X33)
| ~ r1(X32,X33)
| ~ p2(X32) )
| ~ spl91_52 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f614,plain,
( spl91_52
<=> ! [X32,X33] :
( ~ r1(sK79,X32)
| ~ p2(X32)
| ~ r1(X32,X33)
| p2(X33) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_52])]) ).
fof(f1058,plain,
( r1(sK79,sK70(sK79))
| ~ spl91_128 ),
inference(avatar_component_clause,[],[f1056]) ).
fof(f1056,plain,
( spl91_128
<=> r1(sK79,sK70(sK79)) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_128])]) ).
fof(f1318,plain,
( ~ spl91_12
| spl91_92
| ~ spl91_93
| spl91_120
| ~ spl91_121
| ~ spl91_122 ),
inference(avatar_contradiction_clause,[],[f1317]) ).
fof(f1317,plain,
( $false
| ~ spl91_12
| spl91_92
| ~ spl91_93
| spl91_120
| ~ spl91_121
| ~ spl91_122 ),
inference(subsumption_resolution,[],[f1316,f831]) ).
fof(f831,plain,
( r1(sK64,sK36(sK64))
| ~ spl91_93 ),
inference(avatar_component_clause,[],[f829]) ).
fof(f829,plain,
( spl91_93
<=> r1(sK64,sK36(sK64)) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_93])]) ).
fof(f1316,plain,
( ~ r1(sK64,sK36(sK64))
| ~ spl91_12
| spl91_92
| ~ spl91_93
| spl91_120
| ~ spl91_121
| ~ spl91_122 ),
inference(subsumption_resolution,[],[f1315,f1011]) ).
fof(f1011,plain,
( ~ p2(sK36(sK64))
| spl91_120 ),
inference(avatar_component_clause,[],[f1010]) ).
fof(f1010,plain,
( spl91_120
<=> p2(sK36(sK64)) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_120])]) ).
fof(f1315,plain,
( p2(sK36(sK64))
| ~ r1(sK64,sK36(sK64))
| ~ spl91_12
| spl91_92
| ~ spl91_93
| spl91_120
| ~ spl91_121
| ~ spl91_122 ),
inference(resolution,[],[f1313,f355]) ).
fof(f1313,plain,
( p2(sK71(sK36(sK64)))
| ~ spl91_12
| spl91_92
| ~ spl91_93
| spl91_120
| ~ spl91_121
| ~ spl91_122 ),
inference(subsumption_resolution,[],[f1312,f831]) ).
fof(f1312,plain,
( p2(sK71(sK36(sK64)))
| ~ r1(sK64,sK36(sK64))
| ~ spl91_12
| spl91_92
| spl91_120
| ~ spl91_121
| ~ spl91_122 ),
inference(subsumption_resolution,[],[f1310,f1011]) ).
fof(f1310,plain,
( p2(sK36(sK64))
| p2(sK71(sK36(sK64)))
| ~ r1(sK64,sK36(sK64))
| ~ spl91_12
| spl91_92
| ~ spl91_121
| ~ spl91_122 ),
inference(resolution,[],[f1300,f356]) ).
fof(f1300,plain,
( ! [X0] :
( ~ r1(sK70(sK36(sK64)),X0)
| p2(X0) )
| ~ spl91_12
| spl91_92
| ~ spl91_121
| ~ spl91_122 ),
inference(subsumption_resolution,[],[f1299,f1021]) ).
fof(f1021,plain,
( p2(sK70(sK36(sK64)))
| ~ spl91_122 ),
inference(avatar_component_clause,[],[f1019]) ).
fof(f1019,plain,
( spl91_122
<=> p2(sK70(sK36(sK64))) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_122])]) ).
fof(f1299,plain,
( ! [X0] :
( ~ p2(sK70(sK36(sK64)))
| p2(X0)
| ~ r1(sK70(sK36(sK64)),X0) )
| ~ spl91_12
| spl91_92
| ~ spl91_121 ),
inference(resolution,[],[f1016,f1276]) ).
fof(f1276,plain,
( ! [X0,X1] :
( ~ r1(sK36(sK64),X0)
| p2(X1)
| ~ p2(X0)
| ~ r1(X0,X1) )
| ~ spl91_12
| spl91_92 ),
inference(subsumption_resolution,[],[f1161,f826]) ).
fof(f826,plain,
( ~ sP11(sK64)
| spl91_92 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f825,plain,
( spl91_92
<=> sP11(sK64) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_92])]) ).
fof(f1161,plain,
( ! [X0,X1] :
( ~ r1(sK36(sK64),X0)
| sP11(sK64)
| ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1) )
| ~ spl91_12 ),
inference(resolution,[],[f424,f225]) ).
fof(f225,plain,
! [X2,X3,X0] :
( ~ sP12(X0)
| ~ r1(X2,X3)
| p2(X3)
| ~ p2(X2)
| ~ r1(sK36(X0),X2)
| sP11(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ( ( sP11(X0)
| ( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( ~ r1(X2,X3)
| p2(X3) )
| ~ r1(sK36(X0),X2) )
& ~ p2(sK36(X0))
& r1(X0,sK36(X0)) ) )
& ( ( r1(X0,sK37(X0))
& r1(sK37(X0),sK38(X0))
& ~ p2(sK38(X0))
& p2(sK37(X0)) )
| p2(X0) ) )
| ~ sP12(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK36,sK37,sK38])],[f72,f75,f74,f73]) ).
fof(f73,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( ~ r1(X2,X3)
| p2(X3) )
| ~ r1(X1,X2) )
& ~ p2(X1)
& r1(X0,X1) )
=> ( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( ~ r1(X2,X3)
| p2(X3) )
| ~ r1(sK36(X0),X2) )
& ~ p2(sK36(X0))
& r1(X0,sK36(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
! [X0] :
( ? [X4] :
( r1(X0,X4)
& ? [X5] :
( r1(X4,X5)
& ~ p2(X5) )
& p2(X4) )
=> ( r1(X0,sK37(X0))
& ? [X5] :
( r1(sK37(X0),X5)
& ~ p2(X5) )
& p2(sK37(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0] :
( ? [X5] :
( r1(sK37(X0),X5)
& ~ p2(X5) )
=> ( r1(sK37(X0),sK38(X0))
& ~ p2(sK38(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0] :
( ( ( sP11(X0)
| ? [X1] :
( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( ~ r1(X2,X3)
| p2(X3) )
| ~ r1(X1,X2) )
& ~ p2(X1)
& r1(X0,X1) ) )
& ( ? [X4] :
( r1(X0,X4)
& ? [X5] :
( r1(X4,X5)
& ~ p2(X5) )
& p2(X4) )
| p2(X0) ) )
| ~ sP12(X0) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ( ( sP11(X0)
| ? [X46] :
( ! [X47] :
( ~ p2(X47)
| ! [X48] :
( ~ r1(X47,X48)
| p2(X48) )
| ~ r1(X46,X47) )
& ~ p2(X46)
& r1(X0,X46) ) )
& ( ? [X53] :
( r1(X0,X53)
& ? [X54] :
( r1(X53,X54)
& ~ p2(X54) )
& p2(X53) )
| p2(X0) ) )
| ~ sP12(X0) ),
inference(nnf_transformation,[],[f20]) ).
fof(f424,plain,
( sP12(sK64)
| ~ spl91_12 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f422,plain,
( spl91_12
<=> sP12(sK64) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_12])]) ).
fof(f1016,plain,
( r1(sK36(sK64),sK70(sK36(sK64)))
| ~ spl91_121 ),
inference(avatar_component_clause,[],[f1014]) ).
fof(f1014,plain,
( spl91_121
<=> r1(sK36(sK64),sK70(sK36(sK64))) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_121])]) ).
fof(f1297,plain,
( ~ spl91_12
| spl91_92
| ~ spl91_120 ),
inference(avatar_contradiction_clause,[],[f1296]) ).
fof(f1296,plain,
( $false
| ~ spl91_12
| spl91_92
| ~ spl91_120 ),
inference(subsumption_resolution,[],[f1295,f424]) ).
fof(f1295,plain,
( ~ sP12(sK64)
| spl91_92
| ~ spl91_120 ),
inference(subsumption_resolution,[],[f1294,f826]) ).
fof(f1294,plain,
( sP11(sK64)
| ~ sP12(sK64)
| ~ spl91_120 ),
inference(resolution,[],[f1012,f224]) ).
fof(f224,plain,
! [X0] :
( ~ p2(sK36(X0))
| sP11(X0)
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f1012,plain,
( p2(sK36(sK64))
| ~ spl91_120 ),
inference(avatar_component_clause,[],[f1010]) ).
fof(f1275,plain,
~ spl91_113,
inference(avatar_contradiction_clause,[],[f1274]) ).
fof(f1274,plain,
( $false
| ~ spl91_113 ),
inference(subsumption_resolution,[],[f1273,f363]) ).
fof(f363,plain,
~ p2(sK68),
inference(cnf_transformation,[],[f165]) ).
fof(f1273,plain,
( p2(sK68)
| ~ spl91_113 ),
inference(subsumption_resolution,[],[f1272,f362]) ).
fof(f362,plain,
r1(sK64,sK68),
inference(cnf_transformation,[],[f165]) ).
fof(f1272,plain,
( ~ r1(sK64,sK68)
| p2(sK68)
| ~ spl91_113 ),
inference(resolution,[],[f971,f313]) ).
fof(f971,plain,
( p2(sK84(sK68))
| ~ spl91_113 ),
inference(avatar_component_clause,[],[f969]) ).
fof(f969,plain,
( spl91_113
<=> p2(sK84(sK68)) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_113])]) ).
fof(f1271,plain,
( ~ spl91_92
| ~ spl91_156 ),
inference(avatar_contradiction_clause,[],[f1270]) ).
fof(f1270,plain,
( $false
| ~ spl91_92
| ~ spl91_156 ),
inference(subsumption_resolution,[],[f1269,f362]) ).
fof(f1269,plain,
( ~ r1(sK64,sK68)
| ~ spl91_92
| ~ spl91_156 ),
inference(resolution,[],[f1268,f901]) ).
fof(f901,plain,
r1(sK68,sK84(sK68)),
inference(subsumption_resolution,[],[f897,f363]) ).
fof(f897,plain,
( p2(sK68)
| r1(sK68,sK84(sK68)) ),
inference(resolution,[],[f312,f362]) ).
fof(f312,plain,
! [X44] :
( ~ r1(sK64,X44)
| r1(X44,sK84(X44))
| p2(X44) ),
inference(cnf_transformation,[],[f165]) ).
fof(f1268,plain,
( ! [X0] :
( ~ r1(X0,sK84(sK68))
| ~ r1(sK64,X0) )
| ~ spl91_92
| ~ spl91_156 ),
inference(resolution,[],[f1266,f827]) ).
fof(f827,plain,
( sP11(sK64)
| ~ spl91_92 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f1266,plain,
( ! [X0,X1] :
( ~ sP11(X0)
| ~ r1(X0,X1)
| ~ r1(X1,sK84(sK68)) )
| ~ spl91_156 ),
inference(avatar_component_clause,[],[f1265]) ).
fof(f1265,plain,
( spl91_156
<=> ! [X0,X1] :
( ~ sP11(X0)
| ~ r1(X1,sK84(sK68))
| ~ r1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_156])]) ).
fof(f1267,plain,
( spl91_156
| spl91_113
| ~ spl91_155 ),
inference(avatar_split_clause,[],[f1263,f1259,f969,f1265]) ).
fof(f1259,plain,
( spl91_155
<=> p2(sK40(sK84(sK68))) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_155])]) ).
fof(f1263,plain,
( ! [X0,X1] :
( p2(sK84(sK68))
| ~ sP11(X0)
| ~ r1(X0,X1)
| ~ r1(X1,sK84(sK68)) )
| ~ spl91_155 ),
inference(resolution,[],[f1261,f226]) ).
fof(f226,plain,
! [X2,X0,X1] :
( ~ p2(sK40(X2))
| ~ r1(X0,X1)
| ~ sP11(X0)
| ~ r1(X1,X2)
| p2(X2) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( p2(X2)
| ( p2(sK39(X2))
& r1(X2,sK39(X2))
& r1(sK39(X2),sK40(X2))
& ~ p2(sK40(X2)) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP11(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK39,sK40])],[f78,f80,f79]) ).
fof(f79,plain,
! [X2] :
( ? [X3] :
( p2(X3)
& r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p2(X4) ) )
=> ( p2(sK39(X2))
& r1(X2,sK39(X2))
& ? [X4] :
( r1(sK39(X2),X4)
& ~ p2(X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
! [X2] :
( ? [X4] :
( r1(sK39(X2),X4)
& ~ p2(X4) )
=> ( r1(sK39(X2),sK40(X2))
& ~ p2(sK40(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( p2(X2)
| ? [X3] :
( p2(X3)
& r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p2(X4) ) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP11(X0) ),
inference(rectify,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ! [X49] :
( ! [X50] :
( p2(X50)
| ? [X51] :
( p2(X51)
& r1(X50,X51)
& ? [X52] :
( r1(X51,X52)
& ~ p2(X52) ) )
| ~ r1(X49,X50) )
| ~ r1(X0,X49) )
| ~ sP11(X0) ),
inference(nnf_transformation,[],[f19]) ).
fof(f1261,plain,
( p2(sK40(sK84(sK68)))
| ~ spl91_155 ),
inference(avatar_component_clause,[],[f1259]) ).
fof(f1262,plain,
( spl91_155
| spl91_113
| ~ spl91_92
| ~ spl91_112
| ~ spl91_153 ),
inference(avatar_split_clause,[],[f1257,f1229,f965,f825,f969,f1259]) ).
fof(f965,plain,
( spl91_112
<=> p2(sK39(sK84(sK68))) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_112])]) ).
fof(f1229,plain,
( spl91_153
<=> r1(sK84(sK68),sK39(sK84(sK68))) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_153])]) ).
fof(f1257,plain,
( p2(sK84(sK68))
| p2(sK40(sK84(sK68)))
| ~ spl91_92
| ~ spl91_112
| ~ spl91_153 ),
inference(subsumption_resolution,[],[f1256,f901]) ).
fof(f1256,plain,
( ~ r1(sK68,sK84(sK68))
| p2(sK40(sK84(sK68)))
| p2(sK84(sK68))
| ~ spl91_92
| ~ spl91_112
| ~ spl91_153 ),
inference(resolution,[],[f1251,f1236]) ).
fof(f1236,plain,
( ! [X0] :
( ~ r1(sK39(sK84(sK68)),X0)
| p2(X0) )
| ~ spl91_112
| ~ spl91_153 ),
inference(subsumption_resolution,[],[f1235,f363]) ).
fof(f1235,plain,
( ! [X0] :
( p2(X0)
| p2(sK68)
| ~ r1(sK39(sK84(sK68)),X0) )
| ~ spl91_112
| ~ spl91_153 ),
inference(subsumption_resolution,[],[f1234,f362]) ).
fof(f1234,plain,
( ! [X0] :
( ~ r1(sK64,sK68)
| p2(X0)
| p2(sK68)
| ~ r1(sK39(sK84(sK68)),X0) )
| ~ spl91_112
| ~ spl91_153 ),
inference(subsumption_resolution,[],[f1233,f967]) ).
fof(f967,plain,
( p2(sK39(sK84(sK68)))
| ~ spl91_112 ),
inference(avatar_component_clause,[],[f965]) ).
fof(f1233,plain,
( ! [X0] :
( ~ p2(sK39(sK84(sK68)))
| p2(sK68)
| ~ r1(sK64,sK68)
| ~ r1(sK39(sK84(sK68)),X0)
| p2(X0) )
| ~ spl91_153 ),
inference(resolution,[],[f1231,f311]) ).
fof(f1231,plain,
( r1(sK84(sK68),sK39(sK84(sK68)))
| ~ spl91_153 ),
inference(avatar_component_clause,[],[f1229]) ).
fof(f1251,plain,
( ! [X0] :
( r1(sK39(X0),sK40(X0))
| ~ r1(sK68,X0)
| p2(X0) )
| ~ spl91_92 ),
inference(resolution,[],[f1164,f362]) ).
fof(f1164,plain,
( ! [X0,X1] :
( ~ r1(sK64,X1)
| p2(X0)
| ~ r1(X1,X0)
| r1(sK39(X0),sK40(X0)) )
| ~ spl91_92 ),
inference(resolution,[],[f827,f227]) ).
fof(f227,plain,
! [X2,X0,X1] :
( ~ sP11(X0)
| r1(sK39(X2),sK40(X2))
| p2(X2)
| ~ r1(X0,X1)
| ~ r1(X1,X2) ),
inference(cnf_transformation,[],[f81]) ).
fof(f1232,plain,
( spl91_113
| spl91_153
| ~ spl91_92 ),
inference(avatar_split_clause,[],[f1225,f825,f1229,f969]) ).
fof(f1225,plain,
( r1(sK84(sK68),sK39(sK84(sK68)))
| p2(sK84(sK68))
| ~ spl91_92 ),
inference(resolution,[],[f1220,f901]) ).
fof(f1220,plain,
( ! [X0] :
( ~ r1(sK68,X0)
| p2(X0)
| r1(X0,sK39(X0)) )
| ~ spl91_92 ),
inference(resolution,[],[f1165,f362]) ).
fof(f1165,plain,
( ! [X2,X3] :
( ~ r1(sK64,X2)
| p2(X3)
| r1(X3,sK39(X3))
| ~ r1(X2,X3) )
| ~ spl91_92 ),
inference(resolution,[],[f827,f228]) ).
fof(f228,plain,
! [X2,X0,X1] :
( ~ sP11(X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| p2(X2)
| r1(X2,sK39(X2)) ),
inference(cnf_transformation,[],[f81]) ).
fof(f1151,plain,
( spl91_142
| spl91_140
| ~ spl91_17
| ~ spl91_109 ),
inference(avatar_split_clause,[],[f1146,f933,f445,f1126,f1148]) ).
fof(f1146,plain,
( p2(sK51(sK79))
| p2(sK46(sK51(sK79)))
| ~ spl91_17
| ~ spl91_109 ),
inference(subsumption_resolution,[],[f1136,f447]) ).
fof(f1136,plain,
( p2(sK51(sK79))
| ~ sP7(sK79)
| p2(sK46(sK51(sK79)))
| ~ spl91_109 ),
inference(resolution,[],[f1132,f253]) ).
fof(f1132,plain,
( ! [X2] :
( ~ r1(sK50(sK79),X2)
| p2(sK46(X2))
| p2(X2) )
| ~ spl91_109 ),
inference(resolution,[],[f935,f237]) ).
fof(f237,plain,
! [X0,X5] :
( ~ sP9(X0)
| p2(sK46(X5))
| ~ r1(X0,X5)
| p2(X5) ),
inference(cnf_transformation,[],[f94]) ).
fof(f1129,plain,
( spl91_139
| spl91_140
| ~ spl91_17
| ~ spl91_107 ),
inference(avatar_split_clause,[],[f1120,f925,f445,f1126,f1122]) ).
fof(f1120,plain,
( p2(sK51(sK79))
| p2(sK42(sK51(sK79)))
| ~ spl91_17
| ~ spl91_107 ),
inference(subsumption_resolution,[],[f1107,f447]) ).
fof(f1107,plain,
( p2(sK42(sK51(sK79)))
| ~ sP7(sK79)
| p2(sK51(sK79))
| ~ spl91_107 ),
inference(resolution,[],[f1106,f253]) ).
fof(f1106,plain,
( ! [X3] :
( ~ r1(sK50(sK79),X3)
| p2(sK42(X3))
| p2(X3) )
| ~ spl91_107 ),
inference(resolution,[],[f927,f231]) ).
fof(f231,plain,
! [X0,X1] :
( ~ sP10(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK42(X1)) ),
inference(cnf_transformation,[],[f87]) ).
fof(f1102,plain,
( spl91_109
| spl91_107
| spl91_136
| ~ spl91_17
| ~ spl91_62 ),
inference(avatar_split_clause,[],[f1097,f662,f445,f1100,f925,f933]) ).
fof(f662,plain,
( spl91_62
<=> ! [X29,X30,X31] :
( ~ r1(sK79,X29)
| ~ r1(X29,X30)
| sP10(X29)
| p2(X31)
| ~ p2(X30)
| ~ r1(X30,X31)
| sP9(X29) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_62])]) ).
fof(f1097,plain,
( ! [X0,X1] :
( p2(X0)
| sP10(sK50(sK79))
| ~ r1(X1,X0)
| sP9(sK50(sK79))
| ~ r1(sK50(sK79),X1)
| ~ p2(X1) )
| ~ spl91_17
| ~ spl91_62 ),
inference(resolution,[],[f663,f834]) ).
fof(f834,plain,
( r1(sK79,sK50(sK79))
| ~ spl91_17 ),
inference(resolution,[],[f447,f256]) ).
fof(f663,plain,
( ! [X31,X29,X30] :
( ~ r1(sK79,X29)
| sP9(X29)
| ~ r1(X29,X30)
| sP10(X29)
| ~ p2(X30)
| p2(X31)
| ~ r1(X30,X31) )
| ~ spl91_62 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f1059,plain,
( spl91_18
| spl91_128
| ~ spl91_36 ),
inference(avatar_split_clause,[],[f1043,f536,f1056,f449]) ).
fof(f1043,plain,
( r1(sK79,sK70(sK79))
| p2(sK79)
| ~ spl91_36 ),
inference(resolution,[],[f538,f354]) ).
fof(f354,plain,
! [X11] :
( ~ r1(sK64,X11)
| r1(X11,sK70(X11))
| p2(X11) ),
inference(cnf_transformation,[],[f165]) ).
fof(f1049,plain,
( spl91_18
| spl91_126
| ~ spl91_36 ),
inference(avatar_split_clause,[],[f1040,f536,f1046,f449]) ).
fof(f1040,plain,
( r1(sK79,sK84(sK79))
| p2(sK79)
| ~ spl91_36 ),
inference(resolution,[],[f538,f312]) ).
fof(f1022,plain,
( spl91_120
| spl91_122
| ~ spl91_93 ),
inference(avatar_split_clause,[],[f990,f829,f1019,f1010]) ).
fof(f990,plain,
( p2(sK70(sK36(sK64)))
| p2(sK36(sK64))
| ~ spl91_93 ),
inference(resolution,[],[f831,f357]) ).
fof(f357,plain,
! [X11] :
( ~ r1(sK64,X11)
| p2(sK70(X11))
| p2(X11) ),
inference(cnf_transformation,[],[f165]) ).
fof(f1017,plain,
( spl91_120
| spl91_121
| ~ spl91_93 ),
inference(avatar_split_clause,[],[f989,f829,f1014,f1010]) ).
fof(f989,plain,
( r1(sK36(sK64),sK70(sK36(sK64)))
| p2(sK36(sK64))
| ~ spl91_93 ),
inference(resolution,[],[f831,f354]) ).
fof(f983,plain,
( spl91_92
| spl91_93
| ~ spl91_12 ),
inference(avatar_split_clause,[],[f861,f422,f829,f825]) ).
fof(f861,plain,
( r1(sK64,sK36(sK64))
| sP11(sK64)
| ~ spl91_12 ),
inference(resolution,[],[f424,f223]) ).
fof(f223,plain,
! [X0] :
( ~ sP12(X0)
| r1(X0,sK36(X0))
| sP11(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f972,plain,
( spl91_112
| spl91_113
| ~ spl91_92 ),
inference(avatar_split_clause,[],[f961,f825,f969,f965]) ).
fof(f961,plain,
( p2(sK84(sK68))
| p2(sK39(sK84(sK68)))
| ~ spl91_92 ),
inference(resolution,[],[f957,f901]) ).
fof(f957,plain,
( ! [X0] :
( ~ r1(sK68,X0)
| p2(sK39(X0))
| p2(X0) )
| ~ spl91_92 ),
inference(resolution,[],[f956,f362]) ).
fof(f956,plain,
( ! [X0,X1] :
( ~ r1(sK64,X0)
| ~ r1(X0,X1)
| p2(sK39(X1))
| p2(X1) )
| ~ spl91_92 ),
inference(resolution,[],[f229,f827]) ).
fof(f229,plain,
! [X2,X0,X1] :
( ~ sP11(X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| p2(X2)
| p2(sK39(X2)) ),
inference(cnf_transformation,[],[f81]) ).
fof(f936,plain,
( spl91_107
| ~ spl91_108
| spl91_109
| ~ spl91_13
| ~ spl91_17 ),
inference(avatar_split_clause,[],[f922,f445,f426,f933,f929,f925]) ).
fof(f426,plain,
( spl91_13
<=> ! [X29] :
( ~ r1(sK79,X29)
| sP10(X29)
| sP9(X29)
| ~ p2(X29) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl91_13])]) ).
fof(f922,plain,
( sP9(sK50(sK79))
| ~ p2(sK50(sK79))
| sP10(sK50(sK79))
| ~ spl91_13
| ~ spl91_17 ),
inference(resolution,[],[f427,f834]) ).
fof(f427,plain,
( ! [X29] :
( ~ r1(sK79,X29)
| sP9(X29)
| sP10(X29)
| ~ p2(X29) )
| ~ spl91_13 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f860,plain,
( spl91_98
| spl91_18
| ~ spl91_36 ),
inference(avatar_split_clause,[],[f835,f536,f449,f857]) ).
fof(f835,plain,
( p2(sK79)
| p2(sK70(sK79))
| ~ spl91_36 ),
inference(resolution,[],[f538,f357]) ).
fof(f664,plain,
( spl91_12
| spl91_62 ),
inference(avatar_split_clause,[],[f330,f662,f422]) ).
fof(f330,plain,
! [X31,X29,X30] :
( ~ r1(sK79,X29)
| sP12(sK64)
| sP9(X29)
| p2(X31)
| ~ p2(X30)
| sP10(X29)
| ~ r1(X30,X31)
| ~ r1(X29,X30) ),
inference(cnf_transformation,[],[f165]) ).
fof(f616,plain,
( spl91_12
| spl91_17
| spl91_52 ),
inference(avatar_split_clause,[],[f329,f614,f445,f422]) ).
fof(f329,plain,
! [X32,X33] :
( ~ r1(sK79,X32)
| sP7(sK79)
| p2(X33)
| ~ r1(X32,X33)
| ~ p2(X32)
| sP12(sK64) ),
inference(cnf_transformation,[],[f165]) ).
fof(f539,plain,
( spl91_36
| spl91_12 ),
inference(avatar_split_clause,[],[f332,f422,f536]) ).
fof(f332,plain,
( sP12(sK64)
| r1(sK64,sK79) ),
inference(cnf_transformation,[],[f165]) ).
fof(f452,plain,
( spl91_12
| spl91_17
| ~ spl91_18 ),
inference(avatar_split_clause,[],[f328,f449,f445,f422]) ).
fof(f328,plain,
( ~ p2(sK79)
| sP7(sK79)
| sP12(sK64) ),
inference(cnf_transformation,[],[f165]) ).
fof(f428,plain,
( spl91_12
| spl91_13 ),
inference(avatar_split_clause,[],[f331,f426,f422]) ).
fof(f331,plain,
! [X29] :
( ~ r1(sK79,X29)
| ~ p2(X29)
| sP9(X29)
| sP10(X29)
| sP12(sK64) ),
inference(cnf_transformation,[],[f165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LCL642+1.010 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.09 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.29 % Computer : n029.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Tue Aug 30 02:23:26 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.14/0.45 % (23737)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.46 % (23729)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.14/0.48 % (23729)Instruction limit reached!
% 0.14/0.48 % (23729)------------------------------
% 0.14/0.48 % (23729)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.49 % (23729)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.49 % (23729)Termination reason: Unknown
% 0.14/0.49 % (23729)Termination phase: Saturation
% 0.14/0.49
% 0.14/0.49 % (23729)Memory used [KB]: 1918
% 0.14/0.49 % (23729)Time elapsed: 0.091 s
% 0.14/0.49 % (23729)Instructions burned: 16 (million)
% 0.14/0.49 % (23729)------------------------------
% 0.14/0.49 % (23729)------------------------------
% 0.14/0.50 % (23737)Refutation not found, incomplete strategy% (23737)------------------------------
% 0.14/0.50 % (23737)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.50 % (23737)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.50 % (23737)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.50
% 0.14/0.50 % (23737)Memory used [KB]: 7036
% 0.14/0.50 % (23737)Time elapsed: 0.113 s
% 0.14/0.50 % (23737)Instructions burned: 40 (million)
% 0.14/0.50 % (23737)------------------------------
% 0.14/0.50 % (23737)------------------------------
% 0.14/0.51 % (23738)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.52 % (23730)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.14/0.53 % (23738)Instruction limit reached!
% 0.14/0.53 % (23738)------------------------------
% 0.14/0.53 % (23738)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.53 % (23738)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.53 % (23738)Termination reason: Unknown
% 0.14/0.53 % (23738)Termination phase: Naming
% 0.14/0.53
% 0.14/0.53 % (23738)Memory used [KB]: 1663
% 0.14/0.53 % (23738)Time elapsed: 0.005 s
% 0.14/0.53 % (23738)Instructions burned: 3 (million)
% 0.14/0.53 % (23738)------------------------------
% 0.14/0.53 % (23738)------------------------------
% 0.14/0.54 % (23752)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.14/0.55 % (23744)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.14/0.56 % (23726)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.56 % (23726)Instruction limit reached!
% 0.14/0.56 % (23726)------------------------------
% 0.14/0.56 % (23726)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.56 % (23726)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.56 % (23726)Termination reason: Unknown
% 0.14/0.56 % (23726)Termination phase: Preprocessing 3
% 0.14/0.56
% 0.14/0.56 % (23726)Memory used [KB]: 1663
% 0.14/0.56 % (23726)Time elapsed: 0.004 s
% 0.14/0.56 % (23726)Instructions burned: 4 (million)
% 0.14/0.56 % (23726)------------------------------
% 0.14/0.56 % (23726)------------------------------
% 0.14/0.56 % (23725)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.14/0.56 % (23736)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.14/0.56 % (23752)Instruction limit reached!
% 0.14/0.56 % (23752)------------------------------
% 0.14/0.56 % (23752)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.56 % (23752)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.56 % (23752)Termination reason: Unknown
% 0.14/0.56 % (23752)Termination phase: Saturation
% 0.14/0.56
% 0.14/0.56 % (23752)Memory used [KB]: 1918
% 0.14/0.56 % (23752)Time elapsed: 0.008 s
% 0.14/0.56 % (23752)Instructions burned: 9 (million)
% 0.14/0.56 % (23752)------------------------------
% 0.14/0.56 % (23752)------------------------------
% 0.14/0.57 % (23739)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.57 % (23747)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.14/0.57 % (23727)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.57 % (23724)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.14/0.58 % (23749)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.14/0.58 % (23728)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.14/0.58 % (23731)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.14/0.58 % (23748)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.14/0.58 % (23753)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.14/0.59 % (23725)Instruction limit reached!
% 0.14/0.59 % (23725)------------------------------
% 0.14/0.59 % (23725)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.59 % (23725)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.59 % (23725)Termination reason: Unknown
% 0.14/0.59 % (23725)Termination phase: Property scanning
% 0.14/0.59
% 0.14/0.59 % (23725)Memory used [KB]: 2046
% 0.14/0.59 % (23725)Time elapsed: 0.011 s
% 0.14/0.59 % (23725)Instructions burned: 14 (million)
% 0.14/0.59 % (23725)------------------------------
% 0.14/0.59 % (23725)------------------------------
% 0.14/0.59 % (23746)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.14/0.59 % (23742)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.59 % (23745)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.14/0.59 % (23740)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.14/0.59 % (23742)Instruction limit reached!
% 0.14/0.59 % (23742)------------------------------
% 0.14/0.59 % (23742)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.59 % (23742)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.59 % (23742)Termination reason: Unknown
% 0.14/0.59 % (23742)Termination phase: shuffling
% 0.14/0.59
% 0.14/0.59 % (23742)Memory used [KB]: 1535
% 0.14/0.59 % (23742)Time elapsed: 0.003 s
% 0.14/0.59 % (23742)Instructions burned: 3 (million)
% 0.14/0.59 % (23742)------------------------------
% 0.14/0.59 % (23742)------------------------------
% 0.14/0.59 % (23750)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.14/0.59 % (23739)Instruction limit reached!
% 0.14/0.59 % (23739)------------------------------
% 0.14/0.59 % (23739)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.59 % (23739)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.59 % (23739)Termination reason: Unknown
% 0.14/0.59 % (23739)Termination phase: Property scanning
% 0.14/0.59
% 0.14/0.59 % (23739)Memory used [KB]: 1918
% 0.14/0.59 % (23739)Time elapsed: 0.007 s
% 0.14/0.59 % (23739)Instructions burned: 7 (million)
% 0.14/0.59 % (23739)------------------------------
% 0.14/0.59 % (23739)------------------------------
% 0.14/0.59 % (23736)Instruction limit reached!
% 0.14/0.59 % (23736)------------------------------
% 0.14/0.59 % (23736)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.59 % (23736)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.59 % (23736)Termination reason: Unknown
% 0.14/0.59 % (23736)Termination phase: Saturation
% 0.14/0.59
% 0.14/0.59 % (23736)Memory used [KB]: 2046
% 0.14/0.59 % (23736)Time elapsed: 0.013 s
% 0.14/0.59 % (23736)Instructions burned: 17 (million)
% 0.14/0.59 % (23736)------------------------------
% 0.14/0.59 % (23736)------------------------------
% 0.14/0.60 % (23751)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.14/0.60 % (23735)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.60 % (23732)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.14/0.60 % (23734)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.14/0.60 % (23735)Instruction limit reached!
% 0.14/0.60 % (23735)------------------------------
% 0.14/0.60 % (23735)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.60 % (23735)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.60 % (23735)Termination reason: Unknown
% 0.14/0.60 % (23735)Termination phase: Preprocessing 3
% 0.14/0.60
% 0.14/0.60 % (23735)Memory used [KB]: 1918
% 0.14/0.60 % (23735)Time elapsed: 0.007 s
% 0.14/0.60 % (23735)Instructions burned: 7 (million)
% 0.14/0.60 % (23735)------------------------------
% 0.14/0.60 % (23735)------------------------------
% 0.14/0.60 % (23733)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.14/0.61 % (23728)Instruction limit reached!
% 0.14/0.61 % (23728)------------------------------
% 0.14/0.61 % (23728)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.61 % (23728)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.61 % (23728)Termination reason: Unknown
% 0.14/0.61 % (23728)Termination phase: Property scanning
% 0.14/0.61
% 0.14/0.61 % (23728)Memory used [KB]: 3070
% 0.14/0.61 % (23728)Time elapsed: 0.011 s
% 0.14/0.61 % (23728)Instructions burned: 15 (million)
% 0.14/0.61 % (23728)------------------------------
% 0.14/0.61 % (23728)------------------------------
% 0.14/0.61 % (23741)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.61 % (23743)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.14/0.61 % (23787)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 0.14/0.62 % (23741)Instruction limit reached!
% 0.14/0.62 % (23741)------------------------------
% 0.14/0.62 % (23741)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.62 % (23741)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.62 % (23741)Termination reason: Unknown
% 0.14/0.62 % (23741)Termination phase: Naming
% 0.14/0.62
% 0.14/0.62 % (23741)Memory used [KB]: 1663
% 0.14/0.62 % (23741)Time elapsed: 0.005 s
% 0.14/0.62 % (23741)Instructions burned: 4 (million)
% 0.14/0.62 % (23741)------------------------------
% 0.14/0.62 % (23741)------------------------------
% 0.14/0.62 % (23734)Instruction limit reached!
% 0.14/0.62 % (23734)------------------------------
% 0.14/0.62 % (23734)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.62 % (23734)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.62 % (23734)Termination reason: Unknown
% 0.14/0.62 % (23734)Termination phase: Saturation
% 0.14/0.62
% 0.14/0.62 % (23734)Memory used [KB]: 6524
% 0.14/0.62 % (23734)Time elapsed: 0.011 s
% 0.14/0.62 % (23734)Instructions burned: 12 (million)
% 0.14/0.62 % (23734)------------------------------
% 0.14/0.62 % (23734)------------------------------
% 0.14/0.62 % (23730)Instruction limit reached!
% 0.14/0.62 % (23730)------------------------------
% 0.14/0.62 % (23730)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.62 % (23730)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.62 % (23730)Termination reason: Unknown
% 0.14/0.62 % (23730)Termination phase: Saturation
% 0.14/0.62
% 0.14/0.62 % (23730)Memory used [KB]: 7291
% 0.14/0.62 % (23730)Time elapsed: 0.264 s
% 0.14/0.62 % (23730)Instructions burned: 39 (million)
% 0.14/0.62 % (23730)------------------------------
% 0.14/0.62 % (23730)------------------------------
% 0.14/0.63 % (23744)Instruction limit reached!
% 0.14/0.63 % (23744)------------------------------
% 0.14/0.63 % (23744)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.63 % (23744)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.63 % (23744)Termination reason: Unknown
% 0.14/0.63 % (23744)Termination phase: Saturation
% 0.14/0.63
% 0.14/0.63 % (23744)Memory used [KB]: 7164
% 0.14/0.63 % (23744)Time elapsed: 0.241 s
% 0.14/0.63 % (23744)Instructions burned: 30 (million)
% 0.14/0.63 % (23744)------------------------------
% 0.14/0.63 % (23744)------------------------------
% 0.14/0.63 % (23743)Instruction limit reached!
% 0.14/0.63 % (23743)------------------------------
% 0.14/0.63 % (23743)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.63 % (23743)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.63 % (23743)Termination reason: Unknown
% 0.14/0.63 % (23743)Termination phase: Saturation
% 0.14/0.63
% 0.14/0.63 % (23743)Memory used [KB]: 6396
% 0.14/0.63 % (23743)Time elapsed: 0.011 s
% 0.14/0.63 % (23743)Instructions burned: 11 (million)
% 0.14/0.63 % (23743)------------------------------
% 0.14/0.63 % (23743)------------------------------
% 2.44/0.64 % (23753)Instruction limit reached!
% 2.44/0.64 % (23753)------------------------------
% 2.44/0.64 % (23753)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.64 % (23753)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.64 % (23753)Termination reason: Unknown
% 2.44/0.64 % (23753)Termination phase: Property scanning
% 2.44/0.64
% 2.44/0.64 % (23753)Memory used [KB]: 3070
% 2.44/0.64 % (23753)Time elapsed: 0.017 s
% 2.44/0.64 % (23753)Instructions burned: 26 (million)
% 2.44/0.64 % (23753)------------------------------
% 2.44/0.64 % (23753)------------------------------
% 2.44/0.64 % (23788)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/7Mi)
% 2.44/0.65 % (23751)Instruction limit reached!
% 2.44/0.65 % (23751)------------------------------
% 2.44/0.65 % (23751)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.65 % (23751)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.65 % (23751)Termination reason: Unknown
% 2.44/0.65 % (23751)Termination phase: Saturation
% 2.44/0.65
% 2.44/0.65 % (23751)Memory used [KB]: 6780
% 2.44/0.65 % (23751)Time elapsed: 0.250 s
% 2.44/0.65 % (23751)Instructions burned: 25 (million)
% 2.44/0.65 % (23751)------------------------------
% 2.44/0.65 % (23751)------------------------------
% 2.44/0.65 % (23788)Instruction limit reached!
% 2.44/0.65 % (23788)------------------------------
% 2.44/0.65 % (23788)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.65 % (23788)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.65 % (23788)Termination reason: Unknown
% 2.44/0.65 % (23788)Termination phase: Property scanning
% 2.44/0.65
% 2.44/0.65 % (23788)Memory used [KB]: 1918
% 2.44/0.65 % (23788)Time elapsed: 0.012 s
% 2.44/0.65 % (23788)Instructions burned: 7 (million)
% 2.44/0.65 % (23788)------------------------------
% 2.44/0.65 % (23788)------------------------------
% 2.76/0.67 % (23747)Instruction limit reached!
% 2.76/0.67 % (23747)------------------------------
% 2.76/0.67 % (23747)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.67 % (23747)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.76/0.67 % (23747)Termination reason: Unknown
% 2.76/0.67 % (23747)Termination phase: Saturation
% 2.76/0.67
% 2.76/0.67 % (23747)Memory used [KB]: 2558
% 2.76/0.67 % (23747)Time elapsed: 0.250 s
% 2.76/0.67 % (23747)Instructions burned: 46 (million)
% 2.76/0.67 % (23747)------------------------------
% 2.76/0.67 % (23747)------------------------------
% 2.76/0.68 % (23731)Instruction limit reached!
% 2.76/0.68 % (23731)------------------------------
% 2.76/0.68 % (23731)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.68 % (23731)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.76/0.68 % (23731)Termination reason: Unknown
% 2.76/0.68 % (23731)Termination phase: Saturation
% 2.76/0.68
% 2.76/0.68 % (23731)Memory used [KB]: 7291
% 2.76/0.68 % (23731)Time elapsed: 0.236 s
% 2.76/0.68 % (23731)Instructions burned: 40 (million)
% 2.76/0.68 % (23731)------------------------------
% 2.76/0.68 % (23731)------------------------------
% 2.76/0.68 % (23727)Instruction limit reached!
% 2.76/0.68 % (23727)------------------------------
% 2.76/0.68 % (23727)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.68 % (23727)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.76/0.68 % (23727)Termination reason: Unknown
% 2.76/0.68 % (23727)Termination phase: Saturation
% 2.76/0.68
% 2.76/0.68 % (23727)Memory used [KB]: 7164
% 2.76/0.68 % (23727)Time elapsed: 0.297 s
% 2.76/0.68 % (23727)Instructions burned: 52 (million)
% 2.76/0.68 % (23727)------------------------------
% 2.76/0.68 % (23727)------------------------------
% 2.76/0.69 % (23733)Instruction limit reached!
% 2.76/0.69 % (23733)------------------------------
% 2.76/0.69 % (23733)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.69 % (23733)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.76/0.69 % (23733)Termination reason: Unknown
% 2.76/0.69 % (23733)Termination phase: Saturation
% 2.76/0.69
% 2.76/0.69 % (23733)Memory used [KB]: 7036
% 2.76/0.69 % (23733)Time elapsed: 0.289 s
% 2.76/0.69 % (23733)Instructions burned: 33 (million)
% 2.76/0.69 % (23733)------------------------------
% 2.76/0.69 % (23733)------------------------------
% 2.76/0.69 % (23746)Instruction limit reached!
% 2.76/0.69 % (23746)------------------------------
% 2.76/0.69 % (23746)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.69 % (23746)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.76/0.69 % (23746)Termination reason: Unknown
% 2.76/0.69 % (23746)Termination phase: Property scanning
% 2.76/0.69
% 2.76/0.69 % (23746)Memory used [KB]: 3070
% 2.76/0.69 % (23746)Time elapsed: 0.032 s
% 2.76/0.69 % (23746)Instructions burned: 83 (million)
% 2.76/0.69 % (23746)------------------------------
% 2.76/0.69 % (23746)------------------------------
% 2.76/0.70 % (23749)First to succeed.
% 2.76/0.70 % (23748)Instruction limit reached!
% 2.76/0.70 % (23748)------------------------------
% 2.76/0.70 % (23748)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.70 % (23740)Instruction limit reached!
% 2.76/0.70 % (23740)------------------------------
% 2.76/0.70 % (23740)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.70 % (23748)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.76/0.70 % (23748)Termination reason: Unknown
% 2.76/0.70 % (23748)Termination phase: Saturation
% 2.76/0.70
% 2.76/0.70 % (23748)Memory used [KB]: 7675
% 2.76/0.70 % (23748)Time elapsed: 0.323 s
% 2.76/0.70 % (23748)Instructions burned: 50 (million)
% 2.76/0.70 % (23748)------------------------------
% 2.76/0.70 % (23748)------------------------------
% 2.76/0.70 % (23732)Instruction limit reached!
% 2.76/0.70 % (23732)------------------------------
% 2.76/0.70 % (23732)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.70 % (23732)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.76/0.70 % (23732)Termination reason: Unknown
% 2.76/0.70 % (23732)Termination phase: Saturation
% 2.76/0.70
% 2.76/0.70 % (23732)Memory used [KB]: 7547
% 2.76/0.70 % (23732)Time elapsed: 0.314 s
% 2.76/0.70 % (23732)Instructions burned: 49 (million)
% 2.76/0.70 % (23732)------------------------------
% 2.76/0.70 % (23732)------------------------------
% 2.76/0.70 % (23740)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.76/0.70 % (23740)Termination reason: Unknown
% 2.76/0.70 % (23740)Termination phase: Saturation
% 2.76/0.70
% 2.76/0.70 % (23740)Memory used [KB]: 7291
% 2.76/0.70 % (23740)Time elapsed: 0.327 s
% 2.76/0.70 % (23740)Instructions burned: 51 (million)
% 2.76/0.70 % (23740)------------------------------
% 2.76/0.70 % (23740)------------------------------
% 3.03/0.71 % (23798)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 3.03/0.71 % (23799)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/84Mi)
% 3.03/0.72 % (23789)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/87Mi)
% 3.03/0.72 % (23792)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/107Mi)
% 3.03/0.73 % (23791)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/69Mi)
% 3.03/0.73 % (23795)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/141Mi)
% 3.03/0.74 % (23749)Refutation found. Thanks to Tanya!
% 3.03/0.74 % SZS status Theorem for theBenchmark
% 3.03/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 3.03/0.74 % (23749)------------------------------
% 3.03/0.74 % (23749)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.03/0.74 % (23749)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.03/0.74 % (23749)Termination reason: Refutation
% 3.03/0.74
% 3.03/0.74 % (23749)Memory used [KB]: 7419
% 3.03/0.74 % (23749)Time elapsed: 0.320 s
% 3.03/0.74 % (23749)Instructions burned: 43 (million)
% 3.03/0.74 % (23749)------------------------------
% 3.03/0.74 % (23749)------------------------------
% 3.03/0.74 % (23723)Success in time 0.426 s
%------------------------------------------------------------------------------