TSTP Solution File: LCL660+1.010 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL660+1.010 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : 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 17:49:18 EDT 2022
% Result : Theorem 3.03s 0.88s
% Output : Refutation 3.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 125
% Syntax : Number of formulae : 482 ( 3 unt; 0 def)
% Number of atoms : 6014 ( 0 equ)
% Maximal formula atoms : 423 ( 12 avg)
% Number of connectives : 8699 (3167 ~;4153 |;1279 &)
% ( 53 <=>; 47 =>; 0 <=; 0 <~>)
% Maximal formula depth : 53 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 83 ( 82 usr; 54 prp; 0-2 aty)
% Number of functors : 47 ( 47 usr; 18 con; 0-1 aty)
% Number of variables : 1912 (1487 !; 425 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4587,plain,
$false,
inference(avatar_sat_refutation,[],[f415,f435,f447,f508,f513,f581,f640,f645,f664,f678,f701,f705,f724,f982,f998,f1183,f1266,f1353,f1562,f1566,f1588,f1660,f1738,f1900,f1902,f2331,f3216,f3220,f3226,f3231,f3248,f3406,f3436,f3702,f3723,f3724,f3725,f3791,f3801,f3824,f3838,f4004,f4029,f4035,f4068,f4085,f4155,f4241,f4244,f4293,f4320,f4429,f4444,f4449,f4584,f4586]) ).
fof(f4586,plain,
( spl96_545
| ~ spl96_14
| spl96_28
| ~ spl96_55
| ~ spl96_66
| ~ spl96_540 ),
inference(avatar_split_clause,[],[f4585,f4446,f695,f642,f510,f445,f4502]) ).
fof(f4502,plain,
( spl96_545
<=> ! [X0] :
( p2(X0)
| ~ r1(sK56(sK74),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_545])]) ).
fof(f445,plain,
( spl96_14
<=> ! [X14,X15] :
( ~ r1(sK74,X14)
| ~ p2(X14)
| p2(X15)
| ~ r1(X14,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_14])]) ).
fof(f510,plain,
( spl96_28
<=> p2(sK74) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_28])]) ).
fof(f642,plain,
( spl96_55
<=> r1(sK68,sK74) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_55])]) ).
fof(f695,plain,
( spl96_66
<=> sP5(sK68) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_66])]) ).
fof(f4446,plain,
( spl96_540
<=> p2(sK56(sK74)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_540])]) ).
fof(f4585,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK56(sK74),X0) )
| ~ spl96_14
| spl96_28
| ~ spl96_55
| ~ spl96_66
| ~ spl96_540 ),
inference(subsumption_resolution,[],[f4520,f4448]) ).
fof(f4448,plain,
( p2(sK56(sK74))
| ~ spl96_540 ),
inference(avatar_component_clause,[],[f4446]) ).
fof(f4520,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK56(sK74),X0)
| ~ p2(sK56(sK74)) )
| ~ spl96_14
| spl96_28
| ~ spl96_55
| ~ spl96_66 ),
inference(resolution,[],[f4452,f446]) ).
fof(f446,plain,
( ! [X14,X15] :
( ~ r1(sK74,X14)
| p2(X15)
| ~ p2(X14)
| ~ r1(X14,X15) )
| ~ spl96_14 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f4452,plain,
( r1(sK74,sK56(sK74))
| spl96_28
| ~ spl96_55
| ~ spl96_66 ),
inference(subsumption_resolution,[],[f4385,f512]) ).
fof(f512,plain,
( ~ p2(sK74)
| spl96_28 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f4385,plain,
( r1(sK74,sK56(sK74))
| p2(sK74)
| ~ spl96_55
| ~ spl96_66 ),
inference(resolution,[],[f4357,f644]) ).
fof(f644,plain,
( r1(sK68,sK74)
| ~ spl96_55 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f4357,plain,
( ! [X1] :
( ~ r1(sK68,X1)
| p2(X1)
| r1(X1,sK56(X1)) )
| ~ spl96_66 ),
inference(resolution,[],[f697,f280]) ).
fof(f280,plain,
! [X0,X1] :
( ~ sP5(X0)
| p2(X1)
| r1(X1,sK56(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ( ! [X1] :
( p2(X1)
| ( r1(X1,sK56(X1))
& p2(sK56(X1))
& r1(sK56(X1),sK57(X1))
& ~ p2(sK57(X1)) )
| ~ r1(X0,X1) )
& r1(X0,sK58(X0))
& ~ p2(sK58(X0)) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK56,sK57,sK58])],[f116,f119,f118,f117]) ).
fof(f117,plain,
! [X1] :
( ? [X2] :
( r1(X1,X2)
& p2(X2)
& ? [X3] :
( r1(X2,X3)
& ~ p2(X3) ) )
=> ( r1(X1,sK56(X1))
& p2(sK56(X1))
& ? [X3] :
( r1(sK56(X1),X3)
& ~ p2(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
! [X1] :
( ? [X3] :
( r1(sK56(X1),X3)
& ~ p2(X3) )
=> ( r1(sK56(X1),sK57(X1))
& ~ p2(sK57(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
! [X0] :
( ? [X4] :
( r1(X0,X4)
& ~ p2(X4) )
=> ( r1(X0,sK58(X0))
& ~ p2(sK58(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
! [X0] :
( ( ! [X1] :
( p2(X1)
| ? [X2] :
( r1(X1,X2)
& p2(X2)
& ? [X3] :
( r1(X2,X3)
& ~ p2(X3) ) )
| ~ r1(X0,X1) )
& ? [X4] :
( r1(X0,X4)
& ~ p2(X4) ) )
| ~ sP5(X0) ),
inference(rectify,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ( ! [X7] :
( p2(X7)
| ? [X8] :
( r1(X7,X8)
& p2(X8)
& ? [X9] :
( r1(X8,X9)
& ~ p2(X9) ) )
| ~ r1(X0,X7) )
& ? [X6] :
( r1(X0,X6)
& ~ p2(X6) ) )
| ~ sP5(X0) ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0] :
( ( ! [X7] :
( p2(X7)
| ? [X8] :
( r1(X7,X8)
& p2(X8)
& ? [X9] :
( r1(X8,X9)
& ~ p2(X9) ) )
| ~ r1(X0,X7) )
& ? [X6] :
( r1(X0,X6)
& ~ p2(X6) ) )
| ~ sP5(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f697,plain,
( sP5(sK68)
| ~ spl96_66 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f4584,plain,
( spl96_28
| ~ spl96_55
| ~ spl96_66
| ~ spl96_545 ),
inference(avatar_contradiction_clause,[],[f4583]) ).
fof(f4583,plain,
( $false
| spl96_28
| ~ spl96_55
| ~ spl96_66
| ~ spl96_545 ),
inference(subsumption_resolution,[],[f4582,f644]) ).
fof(f4582,plain,
( ~ r1(sK68,sK74)
| spl96_28
| ~ spl96_55
| ~ spl96_66
| ~ spl96_545 ),
inference(resolution,[],[f4577,f697]) ).
fof(f4577,plain,
( ! [X0] :
( ~ sP5(X0)
| ~ r1(X0,sK74) )
| spl96_28
| ~ spl96_55
| ~ spl96_66
| ~ spl96_545 ),
inference(subsumption_resolution,[],[f4568,f512]) ).
fof(f4568,plain,
( ! [X0] :
( p2(sK74)
| ~ r1(X0,sK74)
| ~ sP5(X0) )
| spl96_28
| ~ spl96_55
| ~ spl96_66
| ~ spl96_545 ),
inference(resolution,[],[f4566,f277]) ).
fof(f277,plain,
! [X0,X1] :
( ~ p2(sK57(X1))
| ~ r1(X0,X1)
| ~ sP5(X0)
| p2(X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f4566,plain,
( p2(sK57(sK74))
| spl96_28
| ~ spl96_55
| ~ spl96_66
| ~ spl96_545 ),
inference(resolution,[],[f4503,f4450]) ).
fof(f4450,plain,
( r1(sK56(sK74),sK57(sK74))
| spl96_28
| ~ spl96_55
| ~ spl96_66 ),
inference(subsumption_resolution,[],[f4396,f512]) ).
fof(f4396,plain,
( p2(sK74)
| r1(sK56(sK74),sK57(sK74))
| ~ spl96_55
| ~ spl96_66 ),
inference(resolution,[],[f4356,f644]) ).
fof(f4356,plain,
( ! [X0] :
( ~ r1(sK68,X0)
| r1(sK56(X0),sK57(X0))
| p2(X0) )
| ~ spl96_66 ),
inference(resolution,[],[f697,f278]) ).
fof(f278,plain,
! [X0,X1] :
( ~ sP5(X0)
| r1(sK56(X1),sK57(X1))
| p2(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f4503,plain,
( ! [X0] :
( ~ r1(sK56(sK74),X0)
| p2(X0) )
| ~ spl96_545 ),
inference(avatar_component_clause,[],[f4502]) ).
fof(f4449,plain,
( spl96_540
| spl96_28
| ~ spl96_55
| ~ spl96_66 ),
inference(avatar_split_clause,[],[f4374,f695,f642,f510,f4446]) ).
fof(f4374,plain,
( p2(sK74)
| p2(sK56(sK74))
| ~ spl96_55
| ~ spl96_66 ),
inference(resolution,[],[f4358,f644]) ).
fof(f4358,plain,
( ! [X2] :
( ~ r1(sK68,X2)
| p2(X2)
| p2(sK56(X2)) )
| ~ spl96_66 ),
inference(resolution,[],[f697,f279]) ).
fof(f279,plain,
! [X0,X1] :
( ~ sP5(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK56(X1)) ),
inference(cnf_transformation,[],[f120]) ).
fof(f4444,plain,
( ~ spl96_66
| ~ spl96_148
| spl96_214
| ~ spl96_537 ),
inference(avatar_contradiction_clause,[],[f4443]) ).
fof(f4443,plain,
( $false
| ~ spl96_66
| ~ spl96_148
| spl96_214
| ~ spl96_537 ),
inference(subsumption_resolution,[],[f4442,f1182]) ).
fof(f1182,plain,
( r1(sK68,sK29(sK68))
| ~ spl96_148 ),
inference(avatar_component_clause,[],[f1180]) ).
fof(f1180,plain,
( spl96_148
<=> r1(sK68,sK29(sK68)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_148])]) ).
fof(f4442,plain,
( ~ r1(sK68,sK29(sK68))
| ~ spl96_66
| ~ spl96_148
| spl96_214
| ~ spl96_537 ),
inference(resolution,[],[f4441,f697]) ).
fof(f4441,plain,
( ! [X0] :
( ~ sP5(X0)
| ~ r1(X0,sK29(sK68)) )
| ~ spl96_66
| ~ spl96_148
| spl96_214
| ~ spl96_537 ),
inference(subsumption_resolution,[],[f4432,f1586]) ).
fof(f1586,plain,
( ~ p2(sK29(sK68))
| spl96_214 ),
inference(avatar_component_clause,[],[f1585]) ).
fof(f1585,plain,
( spl96_214
<=> p2(sK29(sK68)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_214])]) ).
fof(f4432,plain,
( ! [X0] :
( ~ r1(X0,sK29(sK68))
| ~ sP5(X0)
| p2(sK29(sK68)) )
| ~ spl96_66
| ~ spl96_148
| spl96_214
| ~ spl96_537 ),
inference(resolution,[],[f4430,f277]) ).
fof(f4430,plain,
( p2(sK57(sK29(sK68)))
| ~ spl96_66
| ~ spl96_148
| spl96_214
| ~ spl96_537 ),
inference(resolution,[],[f4417,f4402]) ).
fof(f4402,plain,
( r1(sK56(sK29(sK68)),sK57(sK29(sK68)))
| ~ spl96_66
| ~ spl96_148
| spl96_214 ),
inference(subsumption_resolution,[],[f4392,f1586]) ).
fof(f4392,plain,
( r1(sK56(sK29(sK68)),sK57(sK29(sK68)))
| p2(sK29(sK68))
| ~ spl96_66
| ~ spl96_148 ),
inference(resolution,[],[f4356,f1182]) ).
fof(f4417,plain,
( ! [X0] :
( ~ r1(sK56(sK29(sK68)),X0)
| p2(X0) )
| ~ spl96_537 ),
inference(avatar_component_clause,[],[f4416]) ).
fof(f4416,plain,
( spl96_537
<=> ! [X0] :
( ~ r1(sK56(sK29(sK68)),X0)
| p2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_537])]) ).
fof(f4429,plain,
( spl96_537
| ~ spl96_66
| ~ spl96_148
| ~ spl96_212
| spl96_214 ),
inference(avatar_split_clause,[],[f4428,f1585,f1564,f1180,f695,f4416]) ).
fof(f1564,plain,
( spl96_212
<=> ! [X0,X1] :
( ~ r1(X0,X1)
| ~ r1(sK29(sK68),X0)
| p2(X1)
| ~ p2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_212])]) ).
fof(f4428,plain,
( ! [X0] :
( ~ r1(sK56(sK29(sK68)),X0)
| p2(X0) )
| ~ spl96_66
| ~ spl96_148
| ~ spl96_212
| spl96_214 ),
inference(subsumption_resolution,[],[f4427,f4379]) ).
fof(f4379,plain,
( p2(sK56(sK29(sK68)))
| ~ spl96_66
| ~ spl96_148
| spl96_214 ),
inference(subsumption_resolution,[],[f4370,f1586]) ).
fof(f4370,plain,
( p2(sK29(sK68))
| p2(sK56(sK29(sK68)))
| ~ spl96_66
| ~ spl96_148 ),
inference(resolution,[],[f4358,f1182]) ).
fof(f4427,plain,
( ! [X0] :
( ~ p2(sK56(sK29(sK68)))
| p2(X0)
| ~ r1(sK56(sK29(sK68)),X0) )
| ~ spl96_66
| ~ spl96_148
| ~ spl96_212
| spl96_214 ),
inference(resolution,[],[f4391,f1565]) ).
fof(f1565,plain,
( ! [X0,X1] :
( ~ r1(sK29(sK68),X0)
| ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1) )
| ~ spl96_212 ),
inference(avatar_component_clause,[],[f1564]) ).
fof(f4391,plain,
( r1(sK29(sK68),sK56(sK29(sK68)))
| ~ spl96_66
| ~ spl96_148
| spl96_214 ),
inference(subsumption_resolution,[],[f4381,f1586]) ).
fof(f4381,plain,
( p2(sK29(sK68))
| r1(sK29(sK68),sK56(sK29(sK68)))
| ~ spl96_66
| ~ spl96_148 ),
inference(resolution,[],[f4357,f1182]) ).
fof(f4320,plain,
( ~ spl96_12
| ~ spl96_160
| spl96_267
| ~ spl96_388 ),
inference(avatar_contradiction_clause,[],[f4319]) ).
fof(f4319,plain,
( $false
| ~ spl96_12
| ~ spl96_160
| spl96_267
| ~ spl96_388 ),
inference(subsumption_resolution,[],[f4318,f439]) ).
fof(f439,plain,
( sP15(sK74)
| ~ spl96_12 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f437,plain,
( spl96_12
<=> sP15(sK74) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_12])]) ).
fof(f4318,plain,
( ~ sP15(sK74)
| ~ spl96_12
| ~ spl96_160
| spl96_267
| ~ spl96_388 ),
inference(subsumption_resolution,[],[f4317,f1258]) ).
fof(f1258,plain,
( sP17(sK41(sK74))
| ~ spl96_160 ),
inference(avatar_component_clause,[],[f1256]) ).
fof(f1256,plain,
( spl96_160
<=> sP17(sK41(sK74)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_160])]) ).
fof(f4317,plain,
( ~ sP17(sK41(sK74))
| ~ sP15(sK74)
| ~ spl96_12
| ~ spl96_160
| spl96_267
| ~ spl96_388 ),
inference(resolution,[],[f4315,f218]) ).
fof(f218,plain,
! [X0] :
( r1(sK41(X0),sK42(X0))
| ~ sP15(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ( ! [X1] :
( ( p2(sK39(X1))
& ~ p2(sK40(X1))
& r1(sK39(X1),sK40(X1))
& r1(X1,sK39(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
& ! [X6] :
( ~ p2(X6)
| ~ r1(sK42(X0),X6)
| ! [X7] :
( ~ r1(X6,X7)
| p2(X7) ) )
& ~ p2(sK42(X0))
& r1(sK41(X0),sK42(X0))
& r1(X0,sK41(X0)) )
| ~ sP15(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK39,sK40,sK41,sK42])],[f70,f74,f73,f72,f71]) ).
fof(f71,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK39(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK39(X1),X3) )
& r1(X1,sK39(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK39(X1),X3) )
=> ( ~ p2(sK40(X1))
& r1(sK39(X1),sK40(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| p2(X7) ) )
& ~ p2(X5)
& r1(X4,X5) )
& r1(X0,X4) )
=> ( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| p2(X7) ) )
& ~ p2(X5)
& r1(sK41(X0),X5) )
& r1(X0,sK41(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
! [X0] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| p2(X7) ) )
& ~ p2(X5)
& r1(sK41(X0),X5) )
=> ( ! [X6] :
( ~ p2(X6)
| ~ r1(sK42(X0),X6)
| ! [X7] :
( ~ r1(X6,X7)
| p2(X7) ) )
& ~ p2(sK42(X0))
& r1(sK41(X0),sK42(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X0] :
( ( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| p2(X7) ) )
& ~ p2(X5)
& r1(X4,X5) )
& r1(X0,X4) ) )
| ~ sP15(X0) ),
inference(rectify,[],[f69]) ).
fof(f69,plain,
! [X51] :
( ( ! [X54] :
( ? [X55] :
( p2(X55)
& ? [X56] :
( ~ p2(X56)
& r1(X55,X56) )
& r1(X54,X55) )
| p2(X54)
| ~ r1(X51,X54) )
& ? [X57] :
( ? [X58] :
( ! [X59] :
( ~ p2(X59)
| ~ r1(X58,X59)
| ! [X60] :
( ~ r1(X59,X60)
| p2(X60) ) )
& ~ p2(X58)
& r1(X57,X58) )
& r1(X51,X57) ) )
| ~ sP15(X51) ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X51] :
( ( ! [X54] :
( ? [X55] :
( p2(X55)
& ? [X56] :
( ~ p2(X56)
& r1(X55,X56) )
& r1(X54,X55) )
| p2(X54)
| ~ r1(X51,X54) )
& ? [X57] :
( ? [X58] :
( ! [X59] :
( ~ p2(X59)
| ~ r1(X58,X59)
| ! [X60] :
( ~ r1(X59,X60)
| p2(X60) ) )
& ~ p2(X58)
& r1(X57,X58) )
& r1(X51,X57) ) )
| ~ sP15(X51) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f4315,plain,
( ! [X0] :
( ~ r1(X0,sK42(sK74))
| ~ sP17(X0) )
| ~ spl96_12
| ~ spl96_160
| spl96_267
| ~ spl96_388 ),
inference(subsumption_resolution,[],[f4313,f2003]) ).
fof(f2003,plain,
( ~ p2(sK42(sK74))
| spl96_267 ),
inference(avatar_component_clause,[],[f2001]) ).
fof(f2001,plain,
( spl96_267
<=> p2(sK42(sK74)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_267])]) ).
fof(f4313,plain,
( ! [X0] :
( ~ sP17(X0)
| ~ r1(X0,sK42(sK74))
| p2(sK42(sK74)) )
| ~ spl96_12
| ~ spl96_160
| spl96_267
| ~ spl96_388 ),
inference(resolution,[],[f4311,f211]) ).
fof(f211,plain,
! [X0,X1] :
( ~ p2(sK34(X1))
| ~ r1(X0,X1)
| p2(X1)
| ~ sP17(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ( ! [X1] :
( p2(X1)
| ( r1(sK33(X1),sK34(X1))
& ~ p2(sK34(X1))
& p2(sK33(X1))
& r1(X1,sK33(X1)) )
| ~ r1(X0,X1) )
& r1(sK35(X0),sK36(X0))
& ~ p2(sK36(X0))
& ! [X6] :
( ! [X7] :
( ~ r1(X6,X7)
| p2(X7) )
| ~ r1(sK36(X0),X6)
| ~ p2(X6) )
& r1(X0,sK35(X0)) )
| ~ sP17(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK33,sK34,sK35,sK36])],[f58,f62,f61,f60,f59]) ).
fof(f59,plain,
! [X1] :
( ? [X2] :
( ? [X3] :
( r1(X2,X3)
& ~ p2(X3) )
& p2(X2)
& r1(X1,X2) )
=> ( ? [X3] :
( r1(sK33(X1),X3)
& ~ p2(X3) )
& p2(sK33(X1))
& r1(X1,sK33(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X1] :
( ? [X3] :
( r1(sK33(X1),X3)
& ~ p2(X3) )
=> ( r1(sK33(X1),sK34(X1))
& ~ p2(sK34(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( r1(X4,X5)
& ~ p2(X5)
& ! [X6] :
( ! [X7] :
( ~ r1(X6,X7)
| p2(X7) )
| ~ r1(X5,X6)
| ~ p2(X6) ) )
& r1(X0,X4) )
=> ( ? [X5] :
( r1(sK35(X0),X5)
& ~ p2(X5)
& ! [X6] :
( ! [X7] :
( ~ r1(X6,X7)
| p2(X7) )
| ~ r1(X5,X6)
| ~ p2(X6) ) )
& r1(X0,sK35(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
! [X0] :
( ? [X5] :
( r1(sK35(X0),X5)
& ~ p2(X5)
& ! [X6] :
( ! [X7] :
( ~ r1(X6,X7)
| p2(X7) )
| ~ r1(X5,X6)
| ~ p2(X6) ) )
=> ( r1(sK35(X0),sK36(X0))
& ~ p2(sK36(X0))
& ! [X6] :
( ! [X7] :
( ~ r1(X6,X7)
| p2(X7) )
| ~ r1(sK36(X0),X6)
| ~ p2(X6) ) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X0] :
( ( ! [X1] :
( p2(X1)
| ? [X2] :
( ? [X3] :
( r1(X2,X3)
& ~ p2(X3) )
& p2(X2)
& r1(X1,X2) )
| ~ r1(X0,X1) )
& ? [X4] :
( ? [X5] :
( r1(X4,X5)
& ~ p2(X5)
& ! [X6] :
( ! [X7] :
( ~ r1(X6,X7)
| p2(X7) )
| ~ r1(X5,X6)
| ~ p2(X6) ) )
& r1(X0,X4) ) )
| ~ sP17(X0) ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
! [X61] :
( ( ! [X74] :
( p2(X74)
| ? [X75] :
( ? [X76] :
( r1(X75,X76)
& ~ p2(X76) )
& p2(X75)
& r1(X74,X75) )
| ~ r1(X61,X74) )
& ? [X77] :
( ? [X78] :
( r1(X77,X78)
& ~ p2(X78)
& ! [X79] :
( ! [X80] :
( ~ r1(X79,X80)
| p2(X80) )
| ~ r1(X78,X79)
| ~ p2(X79) ) )
& r1(X61,X77) ) )
| ~ sP17(X61) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X61] :
( ( ! [X74] :
( p2(X74)
| ? [X75] :
( ? [X76] :
( r1(X75,X76)
& ~ p2(X76) )
& p2(X75)
& r1(X74,X75) )
| ~ r1(X61,X74) )
& ? [X77] :
( ? [X78] :
( r1(X77,X78)
& ~ p2(X78)
& ! [X79] :
( ! [X80] :
( ~ r1(X79,X80)
| p2(X80) )
| ~ r1(X78,X79)
| ~ p2(X79) ) )
& r1(X61,X77) ) )
| ~ sP17(X61) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f4311,plain,
( p2(sK34(sK42(sK74)))
| ~ spl96_12
| ~ spl96_160
| spl96_267
| ~ spl96_388 ),
inference(resolution,[],[f4309,f2831]) ).
fof(f2831,plain,
( ! [X0] :
( ~ r1(sK33(sK42(sK74)),X0)
| p2(X0) )
| ~ spl96_388 ),
inference(avatar_component_clause,[],[f2830]) ).
fof(f2830,plain,
( spl96_388
<=> ! [X0] :
( ~ r1(sK33(sK42(sK74)),X0)
| p2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_388])]) ).
fof(f4309,plain,
( r1(sK33(sK42(sK74)),sK34(sK42(sK74)))
| ~ spl96_12
| ~ spl96_160
| spl96_267 ),
inference(subsumption_resolution,[],[f4308,f439]) ).
fof(f4308,plain,
( r1(sK33(sK42(sK74)),sK34(sK42(sK74)))
| ~ sP15(sK74)
| ~ spl96_160
| spl96_267 ),
inference(subsumption_resolution,[],[f4306,f2003]) ).
fof(f4306,plain,
( p2(sK42(sK74))
| r1(sK33(sK42(sK74)),sK34(sK42(sK74)))
| ~ sP15(sK74)
| ~ spl96_160 ),
inference(resolution,[],[f4251,f218]) ).
fof(f4251,plain,
( ! [X2] :
( ~ r1(sK41(sK74),X2)
| r1(sK33(X2),sK34(X2))
| p2(X2) )
| ~ spl96_160 ),
inference(resolution,[],[f1258,f212]) ).
fof(f212,plain,
! [X0,X1] :
( ~ sP17(X0)
| r1(sK33(X1),sK34(X1))
| ~ r1(X0,X1)
| p2(X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f4293,plain,
( spl96_388
| ~ spl96_12
| ~ spl96_160
| spl96_267 ),
inference(avatar_split_clause,[],[f4292,f2001,f1256,f437,f2830]) ).
fof(f4292,plain,
( ! [X0] :
( ~ r1(sK33(sK42(sK74)),X0)
| p2(X0) )
| ~ spl96_12
| ~ spl96_160
| spl96_267 ),
inference(subsumption_resolution,[],[f4291,f4267]) ).
fof(f4267,plain,
( p2(sK33(sK42(sK74)))
| ~ spl96_12
| ~ spl96_160
| spl96_267 ),
inference(subsumption_resolution,[],[f4266,f2003]) ).
fof(f4266,plain,
( p2(sK42(sK74))
| p2(sK33(sK42(sK74)))
| ~ spl96_12
| ~ spl96_160 ),
inference(subsumption_resolution,[],[f4264,f439]) ).
fof(f4264,plain,
( ~ sP15(sK74)
| p2(sK42(sK74))
| p2(sK33(sK42(sK74)))
| ~ spl96_160 ),
inference(resolution,[],[f4253,f218]) ).
fof(f4253,plain,
( ! [X4] :
( ~ r1(sK41(sK74),X4)
| p2(sK33(X4))
| p2(X4) )
| ~ spl96_160 ),
inference(resolution,[],[f1258,f210]) ).
fof(f210,plain,
! [X0,X1] :
( ~ sP17(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK33(X1)) ),
inference(cnf_transformation,[],[f63]) ).
fof(f4291,plain,
( ! [X0] :
( ~ r1(sK33(sK42(sK74)),X0)
| p2(X0)
| ~ p2(sK33(sK42(sK74))) )
| ~ spl96_12
| ~ spl96_160
| spl96_267 ),
inference(resolution,[],[f4290,f1903]) ).
fof(f1903,plain,
( ! [X0,X1] :
( ~ r1(sK42(sK74),X0)
| ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1) )
| ~ spl96_12 ),
inference(resolution,[],[f439,f220]) ).
fof(f220,plain,
! [X0,X6,X7] :
( ~ sP15(X0)
| ~ p2(X6)
| ~ r1(X6,X7)
| p2(X7)
| ~ r1(sK42(X0),X6) ),
inference(cnf_transformation,[],[f75]) ).
fof(f4290,plain,
( r1(sK42(sK74),sK33(sK42(sK74)))
| ~ spl96_12
| ~ spl96_160
| spl96_267 ),
inference(subsumption_resolution,[],[f4289,f439]) ).
fof(f4289,plain,
( r1(sK42(sK74),sK33(sK42(sK74)))
| ~ sP15(sK74)
| ~ spl96_160
| spl96_267 ),
inference(subsumption_resolution,[],[f4287,f2003]) ).
fof(f4287,plain,
( p2(sK42(sK74))
| ~ sP15(sK74)
| r1(sK42(sK74),sK33(sK42(sK74)))
| ~ spl96_160 ),
inference(resolution,[],[f4252,f218]) ).
fof(f4252,plain,
( ! [X3] :
( ~ r1(sK41(sK74),X3)
| p2(X3)
| r1(X3,sK33(X3)) )
| ~ spl96_160 ),
inference(resolution,[],[f1258,f209]) ).
fof(f209,plain,
! [X0,X1] :
( ~ sP17(X0)
| r1(X1,sK33(X1))
| ~ r1(X0,X1)
| p2(X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f4244,plain,
( spl96_258
| ~ spl96_12
| ~ spl96_162
| spl96_163 ),
inference(avatar_split_clause,[],[f4243,f1268,f1264,f437,f1934]) ).
fof(f1934,plain,
( spl96_258
<=> ! [X0] :
( ~ r1(sK39(sK41(sK74)),X0)
| p2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_258])]) ).
fof(f1264,plain,
( spl96_162
<=> ! [X2,X1] :
( ~ r1(X1,X2)
| ~ r1(sK41(sK74),X1)
| p2(X2)
| ~ p2(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_162])]) ).
fof(f1268,plain,
( spl96_163
<=> p2(sK41(sK74)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_163])]) ).
fof(f4243,plain,
( ! [X2] :
( p2(X2)
| ~ r1(sK39(sK41(sK74)),X2) )
| ~ spl96_12
| ~ spl96_162
| spl96_163 ),
inference(subsumption_resolution,[],[f4205,f4242]) ).
fof(f4242,plain,
( p2(sK39(sK41(sK74)))
| ~ spl96_12
| spl96_163 ),
inference(subsumption_resolution,[],[f1915,f1270]) ).
fof(f1270,plain,
( ~ p2(sK41(sK74))
| spl96_163 ),
inference(avatar_component_clause,[],[f1268]) ).
fof(f1915,plain,
( p2(sK41(sK74))
| p2(sK39(sK41(sK74)))
| ~ spl96_12 ),
inference(resolution,[],[f1906,f1907]) ).
fof(f1907,plain,
( r1(sK74,sK41(sK74))
| ~ spl96_12 ),
inference(resolution,[],[f439,f217]) ).
fof(f217,plain,
! [X0] :
( ~ sP15(X0)
| r1(X0,sK41(X0)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f1906,plain,
( ! [X4] :
( ~ r1(sK74,X4)
| p2(X4)
| p2(sK39(X4)) )
| ~ spl96_12 ),
inference(resolution,[],[f439,f224]) ).
fof(f224,plain,
! [X0,X1] :
( ~ sP15(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK39(X1)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f4205,plain,
( ! [X2] :
( p2(X2)
| ~ r1(sK39(sK41(sK74)),X2)
| ~ p2(sK39(sK41(sK74))) )
| ~ spl96_12
| ~ spl96_162
| spl96_163 ),
inference(resolution,[],[f1265,f4167]) ).
fof(f4167,plain,
( r1(sK41(sK74),sK39(sK41(sK74)))
| ~ spl96_12
| spl96_163 ),
inference(subsumption_resolution,[],[f1940,f1270]) ).
fof(f1940,plain,
( p2(sK41(sK74))
| r1(sK41(sK74),sK39(sK41(sK74)))
| ~ spl96_12 ),
inference(resolution,[],[f1905,f1907]) ).
fof(f1905,plain,
( ! [X3] :
( ~ r1(sK74,X3)
| p2(X3)
| r1(X3,sK39(X3)) )
| ~ spl96_12 ),
inference(resolution,[],[f439,f221]) ).
fof(f221,plain,
! [X0,X1] :
( ~ sP15(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK39(X1)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f1265,plain,
( ! [X2,X1] :
( ~ r1(sK41(sK74),X1)
| ~ p2(X1)
| p2(X2)
| ~ r1(X1,X2) )
| ~ spl96_162 ),
inference(avatar_component_clause,[],[f1264]) ).
fof(f4241,plain,
( ~ spl96_12
| spl96_163
| ~ spl96_258 ),
inference(avatar_contradiction_clause,[],[f4240]) ).
fof(f4240,plain,
( $false
| ~ spl96_12
| spl96_163
| ~ spl96_258 ),
inference(subsumption_resolution,[],[f4239,f1907]) ).
fof(f4239,plain,
( ~ r1(sK74,sK41(sK74))
| ~ spl96_12
| spl96_163
| ~ spl96_258 ),
inference(resolution,[],[f4195,f439]) ).
fof(f4195,plain,
( ! [X0] :
( ~ sP15(X0)
| ~ r1(X0,sK41(sK74)) )
| ~ spl96_12
| spl96_163
| ~ spl96_258 ),
inference(subsumption_resolution,[],[f4193,f1270]) ).
fof(f4193,plain,
( ! [X0] :
( ~ r1(X0,sK41(sK74))
| p2(sK41(sK74))
| ~ sP15(X0) )
| ~ spl96_12
| spl96_163
| ~ spl96_258 ),
inference(resolution,[],[f4191,f223]) ).
fof(f223,plain,
! [X0,X1] :
( ~ p2(sK40(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP15(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f4191,plain,
( p2(sK40(sK41(sK74)))
| ~ spl96_12
| spl96_163
| ~ spl96_258 ),
inference(resolution,[],[f4166,f1935]) ).
fof(f1935,plain,
( ! [X0] :
( ~ r1(sK39(sK41(sK74)),X0)
| p2(X0) )
| ~ spl96_258 ),
inference(avatar_component_clause,[],[f1934]) ).
fof(f4166,plain,
( r1(sK39(sK41(sK74)),sK40(sK41(sK74)))
| ~ spl96_12
| spl96_163 ),
inference(subsumption_resolution,[],[f1990,f1270]) ).
fof(f1990,plain,
( r1(sK39(sK41(sK74)),sK40(sK41(sK74)))
| p2(sK41(sK74))
| ~ spl96_12 ),
inference(resolution,[],[f1904,f1907]) ).
fof(f1904,plain,
( ! [X2] :
( ~ r1(sK74,X2)
| p2(X2)
| r1(sK39(X2),sK40(X2)) )
| ~ spl96_12 ),
inference(resolution,[],[f439,f222]) ).
fof(f222,plain,
! [X0,X1] :
( ~ sP15(X0)
| p2(X1)
| r1(sK39(X1),sK40(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f4155,plain,
( ~ spl96_27
| spl96_54
| ~ spl96_229
| ~ spl96_234 ),
inference(avatar_contradiction_clause,[],[f4154]) ).
fof(f4154,plain,
( $false
| ~ spl96_27
| spl96_54
| ~ spl96_229
| ~ spl96_234 ),
inference(subsumption_resolution,[],[f4153,f639]) ).
fof(f639,plain,
( ~ p2(sK71)
| spl96_54 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f637,plain,
( spl96_54
<=> p2(sK71) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_54])]) ).
fof(f4153,plain,
( p2(sK71)
| ~ spl96_27
| ~ spl96_229
| ~ spl96_234 ),
inference(subsumption_resolution,[],[f4152,f507]) ).
fof(f507,plain,
( r1(sK68,sK71)
| ~ spl96_27 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f505,plain,
( spl96_27
<=> r1(sK68,sK71) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_27])]) ).
fof(f4152,plain,
( ~ r1(sK68,sK71)
| p2(sK71)
| ~ spl96_229
| ~ spl96_234 ),
inference(resolution,[],[f1659,f1737]) ).
fof(f1737,plain,
( r1(sK95(sK71),sK43(sK95(sK71)))
| ~ spl96_234 ),
inference(avatar_component_clause,[],[f1735]) ).
fof(f1735,plain,
( spl96_234
<=> r1(sK95(sK71),sK43(sK95(sK71))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_234])]) ).
fof(f1659,plain,
( ! [X1] :
( ~ r1(sK95(X1),sK43(sK95(sK71)))
| ~ r1(sK68,X1)
| p2(X1) )
| ~ spl96_229 ),
inference(avatar_component_clause,[],[f1658]) ).
fof(f1658,plain,
( spl96_229
<=> ! [X1] :
( ~ r1(sK95(X1),sK43(sK95(sK71)))
| ~ r1(sK68,X1)
| p2(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_229])]) ).
fof(f4085,plain,
( ~ spl96_116
| spl96_117
| ~ spl96_147
| ~ spl96_498
| spl96_506
| ~ spl96_512 ),
inference(avatar_contradiction_clause,[],[f4084]) ).
fof(f4084,plain,
( $false
| ~ spl96_116
| spl96_117
| ~ spl96_147
| ~ spl96_498
| spl96_506
| ~ spl96_512 ),
inference(subsumption_resolution,[],[f4083,f3828]) ).
fof(f3828,plain,
( r1(sK68,sK58(sK68))
| ~ spl96_498 ),
inference(avatar_component_clause,[],[f3827]) ).
fof(f3827,plain,
( spl96_498
<=> r1(sK68,sK58(sK68)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_498])]) ).
fof(f4083,plain,
( ~ r1(sK68,sK58(sK68))
| ~ spl96_116
| spl96_117
| ~ spl96_147
| ~ spl96_498
| spl96_506
| ~ spl96_512 ),
inference(subsumption_resolution,[],[f4082,f980]) ).
fof(f980,plain,
( ~ p2(sK58(sK68))
| spl96_117 ),
inference(avatar_component_clause,[],[f979]) ).
fof(f979,plain,
( spl96_117
<=> p2(sK58(sK68)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_117])]) ).
fof(f4082,plain,
( p2(sK58(sK68))
| ~ r1(sK68,sK58(sK68))
| ~ spl96_116
| ~ spl96_147
| ~ spl96_498
| spl96_506
| ~ spl96_512 ),
inference(resolution,[],[f4028,f4043]) ).
fof(f4043,plain,
( r1(sK95(sK58(sK68)),sK43(sK95(sK58(sK68))))
| ~ spl96_116
| ~ spl96_147
| ~ spl96_498
| spl96_506 ),
inference(subsumption_resolution,[],[f4041,f4002]) ).
fof(f4002,plain,
( ~ p2(sK95(sK58(sK68)))
| spl96_506 ),
inference(avatar_component_clause,[],[f4001]) ).
fof(f4001,plain,
( spl96_506
<=> p2(sK95(sK58(sK68))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_506])]) ).
fof(f4041,plain,
( p2(sK95(sK58(sK68)))
| r1(sK95(sK58(sK68)),sK43(sK95(sK58(sK68))))
| ~ spl96_116
| ~ spl96_147
| ~ spl96_498 ),
inference(resolution,[],[f3920,f977]) ).
fof(f977,plain,
( r1(sK58(sK68),sK95(sK58(sK68)))
| ~ spl96_116 ),
inference(avatar_component_clause,[],[f975]) ).
fof(f975,plain,
( spl96_116
<=> r1(sK58(sK68),sK95(sK58(sK68))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_116])]) ).
fof(f3920,plain,
( ! [X0] :
( ~ r1(sK58(sK68),X0)
| p2(X0)
| r1(X0,sK43(X0)) )
| ~ spl96_147
| ~ spl96_498 ),
inference(resolution,[],[f3805,f3828]) ).
fof(f3805,plain,
( ! [X4,X5] :
( ~ r1(sK68,X4)
| p2(X5)
| ~ r1(X4,X5)
| r1(X5,sK43(X5)) )
| ~ spl96_147 ),
inference(resolution,[],[f1178,f225]) ).
fof(f225,plain,
! [X2,X0,X1] :
( ~ sP14(X0)
| ~ r1(X1,X2)
| p2(X2)
| ~ r1(X0,X1)
| r1(X2,sK43(X2)) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ( ~ p2(sK44(X2))
& r1(sK43(X2),sK44(X2))
& p2(sK43(X2))
& r1(X2,sK43(X2)) )
| p2(X2)
| ~ r1(X1,X2) ) )
| ~ sP14(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK43,sK44])],[f77,f79,f78]) ).
fof(f78,plain,
! [X2] :
( ? [X3] :
( ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& p2(X3)
& r1(X2,X3) )
=> ( ? [X4] :
( ~ p2(X4)
& r1(sK43(X2),X4) )
& p2(sK43(X2))
& r1(X2,sK43(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
! [X2] :
( ? [X4] :
( ~ p2(X4)
& r1(sK43(X2),X4) )
=> ( ~ p2(sK44(X2))
& r1(sK43(X2),sK44(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ? [X3] :
( ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& p2(X3)
& r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) ) )
| ~ sP14(X0) ),
inference(rectify,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ! [X44] :
( ~ r1(X0,X44)
| ! [X45] :
( ? [X46] :
( ? [X47] :
( ~ p2(X47)
& r1(X46,X47) )
& p2(X46)
& r1(X45,X46) )
| p2(X45)
| ~ r1(X44,X45) ) )
| ~ sP14(X0) ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] :
( ! [X44] :
( ~ r1(X0,X44)
| ! [X45] :
( ? [X46] :
( ? [X47] :
( ~ p2(X47)
& r1(X46,X47) )
& p2(X46)
& r1(X45,X46) )
| p2(X45)
| ~ r1(X44,X45) ) )
| ~ sP14(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f1178,plain,
( sP14(sK68)
| ~ spl96_147 ),
inference(avatar_component_clause,[],[f1176]) ).
fof(f1176,plain,
( spl96_147
<=> sP14(sK68) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_147])]) ).
fof(f4028,plain,
( ! [X1] :
( ~ r1(sK95(X1),sK43(sK95(sK58(sK68))))
| ~ r1(sK68,X1)
| p2(X1) )
| ~ spl96_512 ),
inference(avatar_component_clause,[],[f4027]) ).
fof(f4027,plain,
( spl96_512
<=> ! [X1] :
( ~ r1(sK68,X1)
| ~ r1(sK95(X1),sK43(sK95(sK58(sK68))))
| p2(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_512])]) ).
fof(f4068,plain,
( ~ spl96_116
| ~ spl96_147
| ~ spl96_498
| spl96_506
| ~ spl96_511 ),
inference(avatar_contradiction_clause,[],[f4067]) ).
fof(f4067,plain,
( $false
| ~ spl96_116
| ~ spl96_147
| ~ spl96_498
| spl96_506
| ~ spl96_511 ),
inference(subsumption_resolution,[],[f4066,f3828]) ).
fof(f4066,plain,
( ~ r1(sK68,sK58(sK68))
| ~ spl96_116
| ~ spl96_147
| ~ spl96_498
| spl96_506
| ~ spl96_511 ),
inference(resolution,[],[f4064,f977]) ).
fof(f4064,plain,
( ! [X0] :
( ~ r1(X0,sK95(sK58(sK68)))
| ~ r1(sK68,X0) )
| ~ spl96_116
| ~ spl96_147
| ~ spl96_498
| spl96_506
| ~ spl96_511 ),
inference(resolution,[],[f4056,f1178]) ).
fof(f4056,plain,
( ! [X0,X1] :
( ~ sP14(X0)
| ~ r1(X1,sK95(sK58(sK68)))
| ~ r1(X0,X1) )
| ~ spl96_116
| ~ spl96_147
| ~ spl96_498
| spl96_506
| ~ spl96_511 ),
inference(subsumption_resolution,[],[f4054,f4002]) ).
fof(f4054,plain,
( ! [X0,X1] :
( p2(sK95(sK58(sK68)))
| ~ sP14(X0)
| ~ r1(X0,X1)
| ~ r1(X1,sK95(sK58(sK68))) )
| ~ spl96_116
| ~ spl96_147
| ~ spl96_498
| spl96_506
| ~ spl96_511 ),
inference(resolution,[],[f4052,f228]) ).
fof(f228,plain,
! [X2,X0,X1] :
( ~ p2(sK44(X2))
| ~ sP14(X0)
| p2(X2)
| ~ r1(X0,X1)
| ~ r1(X1,X2) ),
inference(cnf_transformation,[],[f80]) ).
fof(f4052,plain,
( p2(sK44(sK95(sK58(sK68))))
| ~ spl96_116
| ~ spl96_147
| ~ spl96_498
| spl96_506
| ~ spl96_511 ),
inference(resolution,[],[f4025,f4050]) ).
fof(f4050,plain,
( r1(sK43(sK95(sK58(sK68))),sK44(sK95(sK58(sK68))))
| ~ spl96_116
| ~ spl96_147
| ~ spl96_498
| spl96_506 ),
inference(subsumption_resolution,[],[f4048,f4002]) ).
fof(f4048,plain,
( r1(sK43(sK95(sK58(sK68))),sK44(sK95(sK58(sK68))))
| p2(sK95(sK58(sK68)))
| ~ spl96_116
| ~ spl96_147
| ~ spl96_498 ),
inference(resolution,[],[f3944,f977]) ).
fof(f3944,plain,
( ! [X0] :
( ~ r1(sK58(sK68),X0)
| r1(sK43(X0),sK44(X0))
| p2(X0) )
| ~ spl96_147
| ~ spl96_498 ),
inference(resolution,[],[f3804,f3828]) ).
fof(f3804,plain,
( ! [X2,X3] :
( ~ r1(sK68,X3)
| ~ r1(X3,X2)
| r1(sK43(X2),sK44(X2))
| p2(X2) )
| ~ spl96_147 ),
inference(resolution,[],[f1178,f227]) ).
fof(f227,plain,
! [X2,X0,X1] :
( ~ sP14(X0)
| p2(X2)
| r1(sK43(X2),sK44(X2))
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f4025,plain,
( ! [X0] :
( ~ r1(sK43(sK95(sK58(sK68))),X0)
| p2(X0) )
| ~ spl96_511 ),
inference(avatar_component_clause,[],[f4024]) ).
fof(f4024,plain,
( spl96_511
<=> ! [X0] :
( p2(X0)
| ~ r1(sK43(sK95(sK58(sK68))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_511])]) ).
fof(f4035,plain,
( spl96_117
| ~ spl96_498
| ~ spl96_506 ),
inference(avatar_contradiction_clause,[],[f4034]) ).
fof(f4034,plain,
( $false
| spl96_117
| ~ spl96_498
| ~ spl96_506 ),
inference(subsumption_resolution,[],[f4033,f3828]) ).
fof(f4033,plain,
( ~ r1(sK68,sK58(sK68))
| spl96_117
| ~ spl96_506 ),
inference(subsumption_resolution,[],[f4030,f980]) ).
fof(f4030,plain,
( p2(sK58(sK68))
| ~ r1(sK68,sK58(sK68))
| ~ spl96_506 ),
inference(resolution,[],[f4003,f315]) ).
fof(f315,plain,
! [X58] :
( ~ p2(sK95(X58))
| p2(X58)
| ~ r1(sK68,X58) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
( ( ( ! [X1] :
( ( p2(sK69(X1))
& r1(X1,sK69(X1))
& ~ p2(sK70(X1))
& r1(sK69(X1),sK70(X1)) )
| p2(X1)
| ~ r1(sK68,X1) )
& r1(sK68,sK71)
& ~ p2(sK71) )
| ! [X5] :
( ~ r1(sK68,X5)
| ~ p5(X5) ) )
& ( p2(sK68)
| ( r1(sK68,sK72)
& sP22(sK72)
& ~ p2(sK72)
& sP21(sK72)
& ~ p3(sK72)
& ~ p1(sK72) )
| ! [X7] :
( ~ r1(sK68,X7)
| p2(X7)
| p1(X7)
| ! [X8] : ~ r1(X7,X8)
| p3(X7)
| p4(X7) )
| p3(sK68)
| p1(sK68) )
& ~ p3(sK73)
& r1(sK68,sK73)
& ( ( ! [X11] :
( sP17(X11)
| ( ~ p2(X11)
& ! [X12] :
( ~ p2(X12)
| ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| p2(X13) ) ) )
| ~ r1(sK74,X11)
| sP18(X11) )
& ( sP15(sK74)
| ( ! [X14] :
( ! [X15] :
( ~ r1(X14,X15)
| p2(X15) )
| ~ p2(X14)
| ~ r1(sK74,X14) )
& ~ p2(sK74) ) )
& r1(sK68,sK74) )
| sP19(sK68) )
& ( ! [X16] :
( ! [X17] :
( ~ r1(X16,X17)
| p2(X17)
| p1(X17)
| p3(X17)
| ! [X18] : ~ r1(X17,X18)
| p4(X17) )
| p4(X16)
| ~ r1(sK68,X16)
| p3(X16)
| p2(X16)
| p1(X16) )
| p1(sK68)
| ( sP12(sK75)
& ~ p1(sK75)
& r1(sK68,sK75)
& sP13(sK75) ) )
& ! [X20] :
( p3(X20)
| ~ r1(sK68,X20)
| ( r1(X20,sK76(X20))
& ~ p3(sK77(X20))
& r1(sK76(X20),sK77(X20))
& p3(sK76(X20)) ) )
& ~ p1(sK78)
& r1(sK68,sK78)
& ( p4(sK68)
| p3(sK68)
| p1(sK68)
| ( ~ p1(sK79)
& ~ p4(sK79)
& r1(sK68,sK79)
& sP8(sK79)
& sP9(sK79)
& ~ p2(sK79)
& ~ p3(sK79) )
| p2(sK68)
| ! [X25] :
( p3(X25)
| p2(X25)
| p1(X25)
| ! [X26] : ~ r1(X25,X26)
| ~ r1(sK68,X25)
| p4(X25) ) )
& ( p3(sK68)
| ! [X27] : ~ r1(sK68,X27)
| p2(sK68)
| p1(sK68)
| ( ~ p1(sK80)
& sP6(sK80)
& ~ p2(sK80)
& r1(sK68,sK80)
& ~ p3(sK80)
& r1(sK80,sK81) ) )
& ( ( r1(sK82,sK83)
& r1(sK68,sK82)
& ! [X32] :
( ! [X33] :
( ~ r1(X32,X33)
| p2(X33)
| p1(X33)
| ! [X34] : ~ r1(X33,X34) )
| ~ r1(sK82,X32)
| ( ~ p2(X32)
& ~ p1(X32)
& r1(X32,sK84(X32)) ) )
& ~ p2(sK82)
& ~ p1(sK82) )
| p1(sK68)
| ! [X36] : ~ r1(sK68,X36)
| p2(sK68) )
& ( sP5(sK68)
| ! [X37] :
( ( r1(X37,sK85(X37))
& p5(sK85(X37)) )
| ~ r1(sK68,X37) ) )
& ( ! [X39] :
( p4(X39)
| p2(X39)
| ! [X40] : ~ r1(X39,X40)
| ~ r1(sK68,X39)
| p3(X39)
| p1(X39) )
| ( sP4(sK86)
& ~ p1(sK86)
& sP3(sK86)
& ~ p2(sK86)
& r1(sK68,sK86) )
| p1(sK68)
| p2(sK68) )
& ( ! [X42] :
( p2(X42)
| p3(X42)
| p4(X42)
| p1(X42)
| ~ r1(sK68,X42)
| ! [X43] : ~ r1(X42,X43) )
| ( sP2(sK87)
& ~ p1(sK87)
& r1(sK68,sK87)
& sP1(sK87) )
| p1(sK68) )
& ( p4(sK68)
| ( sP0(sK88)
& ~ p4(sK88)
& ~ p1(sK88)
& r1(sK88,sK89)
& ~ p2(sK88)
& r1(sK68,sK88)
& ~ p3(sK88) )
| p2(sK68)
| ! [X47] : ~ r1(sK68,X47)
| p1(sK68)
| p3(sK68) )
& ! [X48] :
( ( r1(sK90(X48),sK91(X48))
& ~ p1(sK91(X48))
& p1(sK90(X48))
& r1(X48,sK90(X48)) )
| ~ r1(sK68,X48)
| p1(X48) )
& ( ! [X51] : ~ r1(sK68,X51)
| p1(sK68)
| ( r1(sK92,sK93)
& r1(sK68,sK92)
& ! [X54] :
( ! [X55] :
( ~ r1(X54,X55)
| ! [X56] : ~ r1(X55,X56)
| p1(X55) )
| ( r1(X54,sK94(X54))
& ~ p1(X54) )
| ~ r1(sK92,X54) )
& ~ p1(sK92) ) )
& ! [X58] :
( ~ r1(sK68,X58)
| p2(X58)
| ( ~ p2(sK95(X58))
& r1(X58,sK95(X58))
& ! [X60] :
( ! [X61] :
( p2(X61)
| ~ r1(X60,X61) )
| ~ p2(X60)
| ~ r1(sK95(X58),X60) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK68,sK69,sK70,sK71,sK72,sK73,sK74,sK75,sK76,sK77,sK78,sK79,sK80,sK81,sK82,sK83,sK84,sK85,sK86,sK87,sK88,sK89,sK90,sK91,sK92,sK93,sK94,sK95])],[f145,f173,f172,f171,f170,f169,f168,f167,f166,f165,f164,f163,f162,f161,f160,f159,f158,f157,f156,f155,f154,f153,f152,f151,f150,f149,f148,f147,f146]) ).
fof(f146,plain,
( ? [X0] :
( ( ( ! [X1] :
( ? [X2] :
( p2(X2)
& r1(X1,X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) ) )
| p2(X1)
| ~ r1(X0,X1) )
& ? [X4] :
( r1(X0,X4)
& ~ p2(X4) ) )
| ! [X5] :
( ~ r1(X0,X5)
| ~ p5(X5) ) )
& ( p2(X0)
| ? [X6] :
( r1(X0,X6)
& sP22(X6)
& ~ p2(X6)
& sP21(X6)
& ~ p3(X6)
& ~ p1(X6) )
| ! [X7] :
( ~ r1(X0,X7)
| p2(X7)
| p1(X7)
| ! [X8] : ~ r1(X7,X8)
| p3(X7)
| p4(X7) )
| p3(X0)
| p1(X0) )
& ? [X9] :
( ~ p3(X9)
& r1(X0,X9) )
& ( ? [X10] :
( ! [X11] :
( sP17(X11)
| ( ~ p2(X11)
& ! [X12] :
( ~ p2(X12)
| ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| p2(X13) ) ) )
| ~ r1(X10,X11)
| sP18(X11) )
& ( sP15(X10)
| ( ! [X14] :
( ! [X15] :
( ~ r1(X14,X15)
| p2(X15) )
| ~ p2(X14)
| ~ r1(X10,X14) )
& ~ p2(X10) ) )
& r1(X0,X10) )
| sP19(X0) )
& ( ! [X16] :
( ! [X17] :
( ~ r1(X16,X17)
| p2(X17)
| p1(X17)
| p3(X17)
| ! [X18] : ~ r1(X17,X18)
| p4(X17) )
| p4(X16)
| ~ r1(X0,X16)
| p3(X16)
| p2(X16)
| p1(X16) )
| p1(X0)
| ? [X19] :
( sP12(X19)
& ~ p1(X19)
& r1(X0,X19)
& sP13(X19) ) )
& ! [X20] :
( p3(X20)
| ~ r1(X0,X20)
| ? [X21] :
( r1(X20,X21)
& ? [X22] :
( ~ p3(X22)
& r1(X21,X22) )
& p3(X21) ) )
& ? [X23] :
( ~ p1(X23)
& r1(X0,X23) )
& ( p4(X0)
| p3(X0)
| p1(X0)
| ? [X24] :
( ~ p1(X24)
& ~ p4(X24)
& r1(X0,X24)
& sP8(X24)
& sP9(X24)
& ~ p2(X24)
& ~ p3(X24) )
| p2(X0)
| ! [X25] :
( p3(X25)
| p2(X25)
| p1(X25)
| ! [X26] : ~ r1(X25,X26)
| ~ r1(X0,X25)
| p4(X25) ) )
& ( p3(X0)
| ! [X27] : ~ r1(X0,X27)
| p2(X0)
| p1(X0)
| ? [X28] :
( ~ p1(X28)
& sP6(X28)
& ~ p2(X28)
& r1(X0,X28)
& ~ p3(X28)
& ? [X29] : r1(X28,X29) ) )
& ( ? [X30] :
( ? [X31] : r1(X30,X31)
& r1(X0,X30)
& ! [X32] :
( ! [X33] :
( ~ r1(X32,X33)
| p2(X33)
| p1(X33)
| ! [X34] : ~ r1(X33,X34) )
| ~ r1(X30,X32)
| ( ~ p2(X32)
& ~ p1(X32)
& ? [X35] : r1(X32,X35) ) )
& ~ p2(X30)
& ~ p1(X30) )
| p1(X0)
| ! [X36] : ~ r1(X0,X36)
| p2(X0) )
& ( sP5(X0)
| ! [X37] :
( ? [X38] :
( r1(X37,X38)
& p5(X38) )
| ~ r1(X0,X37) ) )
& ( ! [X39] :
( p4(X39)
| p2(X39)
| ! [X40] : ~ r1(X39,X40)
| ~ r1(X0,X39)
| p3(X39)
| p1(X39) )
| ? [X41] :
( sP4(X41)
& ~ p1(X41)
& sP3(X41)
& ~ p2(X41)
& r1(X0,X41) )
| p1(X0)
| p2(X0) )
& ( ! [X42] :
( p2(X42)
| p3(X42)
| p4(X42)
| p1(X42)
| ~ r1(X0,X42)
| ! [X43] : ~ r1(X42,X43) )
| ? [X44] :
( sP2(X44)
& ~ p1(X44)
& r1(X0,X44)
& sP1(X44) )
| p1(X0) )
& ( p4(X0)
| ? [X45] :
( sP0(X45)
& ~ p4(X45)
& ~ p1(X45)
& ? [X46] : r1(X45,X46)
& ~ p2(X45)
& r1(X0,X45)
& ~ p3(X45) )
| p2(X0)
| ! [X47] : ~ r1(X0,X47)
| p1(X0)
| p3(X0) )
& ! [X48] :
( ? [X49] :
( ? [X50] :
( r1(X49,X50)
& ~ p1(X50) )
& p1(X49)
& r1(X48,X49) )
| ~ r1(X0,X48)
| p1(X48) )
& ( ! [X51] : ~ r1(X0,X51)
| p1(X0)
| ? [X52] :
( ? [X53] : r1(X52,X53)
& r1(X0,X52)
& ! [X54] :
( ! [X55] :
( ~ r1(X54,X55)
| ! [X56] : ~ r1(X55,X56)
| p1(X55) )
| ( ? [X57] : r1(X54,X57)
& ~ p1(X54) )
| ~ r1(X52,X54) )
& ~ p1(X52) ) )
& ! [X58] :
( ~ r1(X0,X58)
| p2(X58)
| ? [X59] :
( ~ p2(X59)
& r1(X58,X59)
& ! [X60] :
( ! [X61] :
( p2(X61)
| ~ r1(X60,X61) )
| ~ p2(X60)
| ~ r1(X59,X60) ) ) ) )
=> ( ( ( ! [X1] :
( ? [X2] :
( p2(X2)
& r1(X1,X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) ) )
| p2(X1)
| ~ r1(sK68,X1) )
& ? [X4] :
( r1(sK68,X4)
& ~ p2(X4) ) )
| ! [X5] :
( ~ r1(sK68,X5)
| ~ p5(X5) ) )
& ( p2(sK68)
| ? [X6] :
( r1(sK68,X6)
& sP22(X6)
& ~ p2(X6)
& sP21(X6)
& ~ p3(X6)
& ~ p1(X6) )
| ! [X7] :
( ~ r1(sK68,X7)
| p2(X7)
| p1(X7)
| ! [X8] : ~ r1(X7,X8)
| p3(X7)
| p4(X7) )
| p3(sK68)
| p1(sK68) )
& ? [X9] :
( ~ p3(X9)
& r1(sK68,X9) )
& ( ? [X10] :
( ! [X11] :
( sP17(X11)
| ( ~ p2(X11)
& ! [X12] :
( ~ p2(X12)
| ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| p2(X13) ) ) )
| ~ r1(X10,X11)
| sP18(X11) )
& ( sP15(X10)
| ( ! [X14] :
( ! [X15] :
( ~ r1(X14,X15)
| p2(X15) )
| ~ p2(X14)
| ~ r1(X10,X14) )
& ~ p2(X10) ) )
& r1(sK68,X10) )
| sP19(sK68) )
& ( ! [X16] :
( ! [X17] :
( ~ r1(X16,X17)
| p2(X17)
| p1(X17)
| p3(X17)
| ! [X18] : ~ r1(X17,X18)
| p4(X17) )
| p4(X16)
| ~ r1(sK68,X16)
| p3(X16)
| p2(X16)
| p1(X16) )
| p1(sK68)
| ? [X19] :
( sP12(X19)
& ~ p1(X19)
& r1(sK68,X19)
& sP13(X19) ) )
& ! [X20] :
( p3(X20)
| ~ r1(sK68,X20)
| ? [X21] :
( r1(X20,X21)
& ? [X22] :
( ~ p3(X22)
& r1(X21,X22) )
& p3(X21) ) )
& ? [X23] :
( ~ p1(X23)
& r1(sK68,X23) )
& ( p4(sK68)
| p3(sK68)
| p1(sK68)
| ? [X24] :
( ~ p1(X24)
& ~ p4(X24)
& r1(sK68,X24)
& sP8(X24)
& sP9(X24)
& ~ p2(X24)
& ~ p3(X24) )
| p2(sK68)
| ! [X25] :
( p3(X25)
| p2(X25)
| p1(X25)
| ! [X26] : ~ r1(X25,X26)
| ~ r1(sK68,X25)
| p4(X25) ) )
& ( p3(sK68)
| ! [X27] : ~ r1(sK68,X27)
| p2(sK68)
| p1(sK68)
| ? [X28] :
( ~ p1(X28)
& sP6(X28)
& ~ p2(X28)
& r1(sK68,X28)
& ~ p3(X28)
& ? [X29] : r1(X28,X29) ) )
& ( ? [X30] :
( ? [X31] : r1(X30,X31)
& r1(sK68,X30)
& ! [X32] :
( ! [X33] :
( ~ r1(X32,X33)
| p2(X33)
| p1(X33)
| ! [X34] : ~ r1(X33,X34) )
| ~ r1(X30,X32)
| ( ~ p2(X32)
& ~ p1(X32)
& ? [X35] : r1(X32,X35) ) )
& ~ p2(X30)
& ~ p1(X30) )
| p1(sK68)
| ! [X36] : ~ r1(sK68,X36)
| p2(sK68) )
& ( sP5(sK68)
| ! [X37] :
( ? [X38] :
( r1(X37,X38)
& p5(X38) )
| ~ r1(sK68,X37) ) )
& ( ! [X39] :
( p4(X39)
| p2(X39)
| ! [X40] : ~ r1(X39,X40)
| ~ r1(sK68,X39)
| p3(X39)
| p1(X39) )
| ? [X41] :
( sP4(X41)
& ~ p1(X41)
& sP3(X41)
& ~ p2(X41)
& r1(sK68,X41) )
| p1(sK68)
| p2(sK68) )
& ( ! [X42] :
( p2(X42)
| p3(X42)
| p4(X42)
| p1(X42)
| ~ r1(sK68,X42)
| ! [X43] : ~ r1(X42,X43) )
| ? [X44] :
( sP2(X44)
& ~ p1(X44)
& r1(sK68,X44)
& sP1(X44) )
| p1(sK68) )
& ( p4(sK68)
| ? [X45] :
( sP0(X45)
& ~ p4(X45)
& ~ p1(X45)
& ? [X46] : r1(X45,X46)
& ~ p2(X45)
& r1(sK68,X45)
& ~ p3(X45) )
| p2(sK68)
| ! [X47] : ~ r1(sK68,X47)
| p1(sK68)
| p3(sK68) )
& ! [X48] :
( ? [X49] :
( ? [X50] :
( r1(X49,X50)
& ~ p1(X50) )
& p1(X49)
& r1(X48,X49) )
| ~ r1(sK68,X48)
| p1(X48) )
& ( ! [X51] : ~ r1(sK68,X51)
| p1(sK68)
| ? [X52] :
( ? [X53] : r1(X52,X53)
& r1(sK68,X52)
& ! [X54] :
( ! [X55] :
( ~ r1(X54,X55)
| ! [X56] : ~ r1(X55,X56)
| p1(X55) )
| ( ? [X57] : r1(X54,X57)
& ~ p1(X54) )
| ~ r1(X52,X54) )
& ~ p1(X52) ) )
& ! [X58] :
( ~ r1(sK68,X58)
| p2(X58)
| ? [X59] :
( ~ p2(X59)
& r1(X58,X59)
& ! [X60] :
( ! [X61] :
( p2(X61)
| ~ r1(X60,X61) )
| ~ p2(X60)
| ~ r1(X59,X60) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f147,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& r1(X1,X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) ) )
=> ( p2(sK69(X1))
& r1(X1,sK69(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK69(X1),X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK69(X1),X3) )
=> ( ~ p2(sK70(X1))
& r1(sK69(X1),sK70(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
( ? [X4] :
( r1(sK68,X4)
& ~ p2(X4) )
=> ( r1(sK68,sK71)
& ~ p2(sK71) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
( ? [X6] :
( r1(sK68,X6)
& sP22(X6)
& ~ p2(X6)
& sP21(X6)
& ~ p3(X6)
& ~ p1(X6) )
=> ( r1(sK68,sK72)
& sP22(sK72)
& ~ p2(sK72)
& sP21(sK72)
& ~ p3(sK72)
& ~ p1(sK72) ) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
( ? [X9] :
( ~ p3(X9)
& r1(sK68,X9) )
=> ( ~ p3(sK73)
& r1(sK68,sK73) ) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
( ? [X10] :
( ! [X11] :
( sP17(X11)
| ( ~ p2(X11)
& ! [X12] :
( ~ p2(X12)
| ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| p2(X13) ) ) )
| ~ r1(X10,X11)
| sP18(X11) )
& ( sP15(X10)
| ( ! [X14] :
( ! [X15] :
( ~ r1(X14,X15)
| p2(X15) )
| ~ p2(X14)
| ~ r1(X10,X14) )
& ~ p2(X10) ) )
& r1(sK68,X10) )
=> ( ! [X11] :
( sP17(X11)
| ( ~ p2(X11)
& ! [X12] :
( ~ p2(X12)
| ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| p2(X13) ) ) )
| ~ r1(sK74,X11)
| sP18(X11) )
& ( sP15(sK74)
| ( ! [X14] :
( ! [X15] :
( ~ r1(X14,X15)
| p2(X15) )
| ~ p2(X14)
| ~ r1(sK74,X14) )
& ~ p2(sK74) ) )
& r1(sK68,sK74) ) ),
introduced(choice_axiom,[]) ).
fof(f153,plain,
( ? [X19] :
( sP12(X19)
& ~ p1(X19)
& r1(sK68,X19)
& sP13(X19) )
=> ( sP12(sK75)
& ~ p1(sK75)
& r1(sK68,sK75)
& sP13(sK75) ) ),
introduced(choice_axiom,[]) ).
fof(f154,plain,
! [X20] :
( ? [X21] :
( r1(X20,X21)
& ? [X22] :
( ~ p3(X22)
& r1(X21,X22) )
& p3(X21) )
=> ( r1(X20,sK76(X20))
& ? [X22] :
( ~ p3(X22)
& r1(sK76(X20),X22) )
& p3(sK76(X20)) ) ),
introduced(choice_axiom,[]) ).
fof(f155,plain,
! [X20] :
( ? [X22] :
( ~ p3(X22)
& r1(sK76(X20),X22) )
=> ( ~ p3(sK77(X20))
& r1(sK76(X20),sK77(X20)) ) ),
introduced(choice_axiom,[]) ).
fof(f156,plain,
( ? [X23] :
( ~ p1(X23)
& r1(sK68,X23) )
=> ( ~ p1(sK78)
& r1(sK68,sK78) ) ),
introduced(choice_axiom,[]) ).
fof(f157,plain,
( ? [X24] :
( ~ p1(X24)
& ~ p4(X24)
& r1(sK68,X24)
& sP8(X24)
& sP9(X24)
& ~ p2(X24)
& ~ p3(X24) )
=> ( ~ p1(sK79)
& ~ p4(sK79)
& r1(sK68,sK79)
& sP8(sK79)
& sP9(sK79)
& ~ p2(sK79)
& ~ p3(sK79) ) ),
introduced(choice_axiom,[]) ).
fof(f158,plain,
( ? [X28] :
( ~ p1(X28)
& sP6(X28)
& ~ p2(X28)
& r1(sK68,X28)
& ~ p3(X28)
& ? [X29] : r1(X28,X29) )
=> ( ~ p1(sK80)
& sP6(sK80)
& ~ p2(sK80)
& r1(sK68,sK80)
& ~ p3(sK80)
& ? [X29] : r1(sK80,X29) ) ),
introduced(choice_axiom,[]) ).
fof(f159,plain,
( ? [X29] : r1(sK80,X29)
=> r1(sK80,sK81) ),
introduced(choice_axiom,[]) ).
fof(f160,plain,
( ? [X30] :
( ? [X31] : r1(X30,X31)
& r1(sK68,X30)
& ! [X32] :
( ! [X33] :
( ~ r1(X32,X33)
| p2(X33)
| p1(X33)
| ! [X34] : ~ r1(X33,X34) )
| ~ r1(X30,X32)
| ( ~ p2(X32)
& ~ p1(X32)
& ? [X35] : r1(X32,X35) ) )
& ~ p2(X30)
& ~ p1(X30) )
=> ( ? [X31] : r1(sK82,X31)
& r1(sK68,sK82)
& ! [X32] :
( ! [X33] :
( ~ r1(X32,X33)
| p2(X33)
| p1(X33)
| ! [X34] : ~ r1(X33,X34) )
| ~ r1(sK82,X32)
| ( ~ p2(X32)
& ~ p1(X32)
& ? [X35] : r1(X32,X35) ) )
& ~ p2(sK82)
& ~ p1(sK82) ) ),
introduced(choice_axiom,[]) ).
fof(f161,plain,
( ? [X31] : r1(sK82,X31)
=> r1(sK82,sK83) ),
introduced(choice_axiom,[]) ).
fof(f162,plain,
! [X32] :
( ? [X35] : r1(X32,X35)
=> r1(X32,sK84(X32)) ),
introduced(choice_axiom,[]) ).
fof(f163,plain,
! [X37] :
( ? [X38] :
( r1(X37,X38)
& p5(X38) )
=> ( r1(X37,sK85(X37))
& p5(sK85(X37)) ) ),
introduced(choice_axiom,[]) ).
fof(f164,plain,
( ? [X41] :
( sP4(X41)
& ~ p1(X41)
& sP3(X41)
& ~ p2(X41)
& r1(sK68,X41) )
=> ( sP4(sK86)
& ~ p1(sK86)
& sP3(sK86)
& ~ p2(sK86)
& r1(sK68,sK86) ) ),
introduced(choice_axiom,[]) ).
fof(f165,plain,
( ? [X44] :
( sP2(X44)
& ~ p1(X44)
& r1(sK68,X44)
& sP1(X44) )
=> ( sP2(sK87)
& ~ p1(sK87)
& r1(sK68,sK87)
& sP1(sK87) ) ),
introduced(choice_axiom,[]) ).
fof(f166,plain,
( ? [X45] :
( sP0(X45)
& ~ p4(X45)
& ~ p1(X45)
& ? [X46] : r1(X45,X46)
& ~ p2(X45)
& r1(sK68,X45)
& ~ p3(X45) )
=> ( sP0(sK88)
& ~ p4(sK88)
& ~ p1(sK88)
& ? [X46] : r1(sK88,X46)
& ~ p2(sK88)
& r1(sK68,sK88)
& ~ p3(sK88) ) ),
introduced(choice_axiom,[]) ).
fof(f167,plain,
( ? [X46] : r1(sK88,X46)
=> r1(sK88,sK89) ),
introduced(choice_axiom,[]) ).
fof(f168,plain,
! [X48] :
( ? [X49] :
( ? [X50] :
( r1(X49,X50)
& ~ p1(X50) )
& p1(X49)
& r1(X48,X49) )
=> ( ? [X50] :
( r1(sK90(X48),X50)
& ~ p1(X50) )
& p1(sK90(X48))
& r1(X48,sK90(X48)) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
! [X48] :
( ? [X50] :
( r1(sK90(X48),X50)
& ~ p1(X50) )
=> ( r1(sK90(X48),sK91(X48))
& ~ p1(sK91(X48)) ) ),
introduced(choice_axiom,[]) ).
fof(f170,plain,
( ? [X52] :
( ? [X53] : r1(X52,X53)
& r1(sK68,X52)
& ! [X54] :
( ! [X55] :
( ~ r1(X54,X55)
| ! [X56] : ~ r1(X55,X56)
| p1(X55) )
| ( ? [X57] : r1(X54,X57)
& ~ p1(X54) )
| ~ r1(X52,X54) )
& ~ p1(X52) )
=> ( ? [X53] : r1(sK92,X53)
& r1(sK68,sK92)
& ! [X54] :
( ! [X55] :
( ~ r1(X54,X55)
| ! [X56] : ~ r1(X55,X56)
| p1(X55) )
| ( ? [X57] : r1(X54,X57)
& ~ p1(X54) )
| ~ r1(sK92,X54) )
& ~ p1(sK92) ) ),
introduced(choice_axiom,[]) ).
fof(f171,plain,
( ? [X53] : r1(sK92,X53)
=> r1(sK92,sK93) ),
introduced(choice_axiom,[]) ).
fof(f172,plain,
! [X54] :
( ? [X57] : r1(X54,X57)
=> r1(X54,sK94(X54)) ),
introduced(choice_axiom,[]) ).
fof(f173,plain,
! [X58] :
( ? [X59] :
( ~ p2(X59)
& r1(X58,X59)
& ! [X60] :
( ! [X61] :
( p2(X61)
| ~ r1(X60,X61) )
| ~ p2(X60)
| ~ r1(X59,X60) ) )
=> ( ~ p2(sK95(X58))
& r1(X58,sK95(X58))
& ! [X60] :
( ! [X61] :
( p2(X61)
| ~ r1(X60,X61) )
| ~ p2(X60)
| ~ r1(sK95(X58),X60) ) ) ),
introduced(choice_axiom,[]) ).
fof(f145,plain,
? [X0] :
( ( ( ! [X1] :
( ? [X2] :
( p2(X2)
& r1(X1,X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) ) )
| p2(X1)
| ~ r1(X0,X1) )
& ? [X4] :
( r1(X0,X4)
& ~ p2(X4) ) )
| ! [X5] :
( ~ r1(X0,X5)
| ~ p5(X5) ) )
& ( p2(X0)
| ? [X6] :
( r1(X0,X6)
& sP22(X6)
& ~ p2(X6)
& sP21(X6)
& ~ p3(X6)
& ~ p1(X6) )
| ! [X7] :
( ~ r1(X0,X7)
| p2(X7)
| p1(X7)
| ! [X8] : ~ r1(X7,X8)
| p3(X7)
| p4(X7) )
| p3(X0)
| p1(X0) )
& ? [X9] :
( ~ p3(X9)
& r1(X0,X9) )
& ( ? [X10] :
( ! [X11] :
( sP17(X11)
| ( ~ p2(X11)
& ! [X12] :
( ~ p2(X12)
| ~ r1(X11,X12)
| ! [X13] :
( ~ r1(X12,X13)
| p2(X13) ) ) )
| ~ r1(X10,X11)
| sP18(X11) )
& ( sP15(X10)
| ( ! [X14] :
( ! [X15] :
( ~ r1(X14,X15)
| p2(X15) )
| ~ p2(X14)
| ~ r1(X10,X14) )
& ~ p2(X10) ) )
& r1(X0,X10) )
| sP19(X0) )
& ( ! [X16] :
( ! [X17] :
( ~ r1(X16,X17)
| p2(X17)
| p1(X17)
| p3(X17)
| ! [X18] : ~ r1(X17,X18)
| p4(X17) )
| p4(X16)
| ~ r1(X0,X16)
| p3(X16)
| p2(X16)
| p1(X16) )
| p1(X0)
| ? [X19] :
( sP12(X19)
& ~ p1(X19)
& r1(X0,X19)
& sP13(X19) ) )
& ! [X20] :
( p3(X20)
| ~ r1(X0,X20)
| ? [X21] :
( r1(X20,X21)
& ? [X22] :
( ~ p3(X22)
& r1(X21,X22) )
& p3(X21) ) )
& ? [X23] :
( ~ p1(X23)
& r1(X0,X23) )
& ( p4(X0)
| p3(X0)
| p1(X0)
| ? [X24] :
( ~ p1(X24)
& ~ p4(X24)
& r1(X0,X24)
& sP8(X24)
& sP9(X24)
& ~ p2(X24)
& ~ p3(X24) )
| p2(X0)
| ! [X25] :
( p3(X25)
| p2(X25)
| p1(X25)
| ! [X26] : ~ r1(X25,X26)
| ~ r1(X0,X25)
| p4(X25) ) )
& ( p3(X0)
| ! [X27] : ~ r1(X0,X27)
| p2(X0)
| p1(X0)
| ? [X28] :
( ~ p1(X28)
& sP6(X28)
& ~ p2(X28)
& r1(X0,X28)
& ~ p3(X28)
& ? [X29] : r1(X28,X29) ) )
& ( ? [X30] :
( ? [X31] : r1(X30,X31)
& r1(X0,X30)
& ! [X32] :
( ! [X33] :
( ~ r1(X32,X33)
| p2(X33)
| p1(X33)
| ! [X34] : ~ r1(X33,X34) )
| ~ r1(X30,X32)
| ( ~ p2(X32)
& ~ p1(X32)
& ? [X35] : r1(X32,X35) ) )
& ~ p2(X30)
& ~ p1(X30) )
| p1(X0)
| ! [X36] : ~ r1(X0,X36)
| p2(X0) )
& ( sP5(X0)
| ! [X37] :
( ? [X38] :
( r1(X37,X38)
& p5(X38) )
| ~ r1(X0,X37) ) )
& ( ! [X39] :
( p4(X39)
| p2(X39)
| ! [X40] : ~ r1(X39,X40)
| ~ r1(X0,X39)
| p3(X39)
| p1(X39) )
| ? [X41] :
( sP4(X41)
& ~ p1(X41)
& sP3(X41)
& ~ p2(X41)
& r1(X0,X41) )
| p1(X0)
| p2(X0) )
& ( ! [X42] :
( p2(X42)
| p3(X42)
| p4(X42)
| p1(X42)
| ~ r1(X0,X42)
| ! [X43] : ~ r1(X42,X43) )
| ? [X44] :
( sP2(X44)
& ~ p1(X44)
& r1(X0,X44)
& sP1(X44) )
| p1(X0) )
& ( p4(X0)
| ? [X45] :
( sP0(X45)
& ~ p4(X45)
& ~ p1(X45)
& ? [X46] : r1(X45,X46)
& ~ p2(X45)
& r1(X0,X45)
& ~ p3(X45) )
| p2(X0)
| ! [X47] : ~ r1(X0,X47)
| p1(X0)
| p3(X0) )
& ! [X48] :
( ? [X49] :
( ? [X50] :
( r1(X49,X50)
& ~ p1(X50) )
& p1(X49)
& r1(X48,X49) )
| ~ r1(X0,X48)
| p1(X48) )
& ( ! [X51] : ~ r1(X0,X51)
| p1(X0)
| ? [X52] :
( ? [X53] : r1(X52,X53)
& r1(X0,X52)
& ! [X54] :
( ! [X55] :
( ~ r1(X54,X55)
| ! [X56] : ~ r1(X55,X56)
| p1(X55) )
| ( ? [X57] : r1(X54,X57)
& ~ p1(X54) )
| ~ r1(X52,X54) )
& ~ p1(X52) ) )
& ! [X58] :
( ~ r1(X0,X58)
| p2(X58)
| ? [X59] :
( ~ p2(X59)
& r1(X58,X59)
& ! [X60] :
( ! [X61] :
( p2(X61)
| ~ r1(X60,X61) )
| ~ p2(X60)
| ~ r1(X59,X60) ) ) ) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
? [X0] :
( ( ( ! [X1] :
( ? [X2] :
( p2(X2)
& r1(X1,X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) ) )
| p2(X1)
| ~ r1(X0,X1) )
& ? [X4] :
( r1(X0,X4)
& ~ p2(X4) ) )
| ! [X5] :
( ~ r1(X0,X5)
| ~ p5(X5) ) )
& ( p2(X0)
| ? [X106] :
( r1(X0,X106)
& sP22(X106)
& ~ p2(X106)
& sP21(X106)
& ~ p3(X106)
& ~ p1(X106) )
| ! [X115] :
( ~ r1(X0,X115)
| p2(X115)
| p1(X115)
| ! [X116] : ~ r1(X115,X116)
| p3(X115)
| p4(X115) )
| p3(X0)
| p1(X0) )
& ? [X12] :
( ~ p3(X12)
& r1(X0,X12) )
& ( ? [X51] :
( ! [X61] :
( sP17(X61)
| ( ~ p2(X61)
& ! [X72] :
( ~ p2(X72)
| ~ r1(X61,X72)
| ! [X73] :
( ~ r1(X72,X73)
| p2(X73) ) ) )
| ~ r1(X51,X61)
| sP18(X61) )
& ( sP15(X51)
| ( ! [X52] :
( ! [X53] :
( ~ r1(X52,X53)
| p2(X53) )
| ~ p2(X52)
| ~ r1(X51,X52) )
& ~ p2(X51) ) )
& r1(X0,X51) )
| sP19(X0) )
& ( ! [X39] :
( ! [X40] :
( ~ r1(X39,X40)
| p2(X40)
| p1(X40)
| p3(X40)
| ! [X41] : ~ r1(X40,X41)
| p4(X40) )
| p4(X39)
| ~ r1(X0,X39)
| p3(X39)
| p2(X39)
| p1(X39) )
| p1(X0)
| ? [X27] :
( sP12(X27)
& ~ p1(X27)
& r1(X0,X27)
& sP13(X27) ) )
& ! [X13] :
( p3(X13)
| ~ r1(X0,X13)
| ? [X14] :
( r1(X13,X14)
& ? [X15] :
( ~ p3(X15)
& r1(X14,X15) )
& p3(X14) ) )
& ? [X19] :
( ~ p1(X19)
& r1(X0,X19) )
& ( p4(X0)
| p3(X0)
| p1(X0)
| ? [X130] :
( ~ p1(X130)
& ~ p4(X130)
& r1(X0,X130)
& sP8(X130)
& sP9(X130)
& ~ p2(X130)
& ~ p3(X130) )
| p2(X0)
| ! [X128] :
( p3(X128)
| p2(X128)
| p1(X128)
| ! [X129] : ~ r1(X128,X129)
| ~ r1(X0,X128)
| p4(X128) ) )
& ( p3(X0)
| ! [X99] : ~ r1(X0,X99)
| p2(X0)
| p1(X0)
| ? [X100] :
( ~ p1(X100)
& sP6(X100)
& ~ p2(X100)
& r1(X0,X100)
& ~ p3(X100)
& ? [X105] : r1(X100,X105) ) )
& ( ? [X92] :
( ? [X97] : r1(X92,X97)
& r1(X0,X92)
& ! [X93] :
( ! [X94] :
( ~ r1(X93,X94)
| p2(X94)
| p1(X94)
| ! [X95] : ~ r1(X94,X95) )
| ~ r1(X92,X93)
| ( ~ p2(X93)
& ~ p1(X93)
& ? [X96] : r1(X93,X96) ) )
& ~ p2(X92)
& ~ p1(X92) )
| p1(X0)
| ! [X98] : ~ r1(X0,X98)
| p2(X0) )
& ( sP5(X0)
| ! [X10] :
( ? [X11] :
( r1(X10,X11)
& p5(X11) )
| ~ r1(X0,X10) ) )
& ( ! [X126] :
( p4(X126)
| p2(X126)
| ! [X127] : ~ r1(X126,X127)
| ~ r1(X0,X126)
| p3(X126)
| p1(X126) )
| ? [X117] :
( sP4(X117)
& ~ p1(X117)
& sP3(X117)
& ~ p2(X117)
& r1(X0,X117) )
| p1(X0)
| p2(X0) )
& ( ! [X139] :
( p2(X139)
| p3(X139)
| p4(X139)
| p1(X139)
| ~ r1(X0,X139)
| ! [X140] : ~ r1(X139,X140) )
| ? [X141] :
( sP2(X141)
& ~ p1(X141)
& r1(X0,X141)
& sP1(X141) )
| p1(X0) )
& ( p4(X0)
| ? [X21] :
( sP0(X21)
& ~ p4(X21)
& ~ p1(X21)
& ? [X26] : r1(X21,X26)
& ~ p2(X21)
& r1(X0,X21)
& ~ p3(X21) )
| p2(X0)
| ! [X20] : ~ r1(X0,X20)
| p1(X0)
| p3(X0) )
& ! [X16] :
( ? [X17] :
( ? [X18] :
( r1(X17,X18)
& ~ p1(X18) )
& p1(X17)
& r1(X16,X17) )
| ~ r1(X0,X16)
| p1(X16) )
& ( ! [X91] : ~ r1(X0,X91)
| p1(X0)
| ? [X85] :
( ? [X86] : r1(X85,X86)
& r1(X0,X85)
& ! [X87] :
( ! [X88] :
( ~ r1(X87,X88)
| ! [X89] : ~ r1(X88,X89)
| p1(X88) )
| ( ? [X90] : r1(X87,X90)
& ~ p1(X87) )
| ~ r1(X85,X87) )
& ~ p1(X85) ) )
& ! [X81] :
( ~ r1(X0,X81)
| p2(X81)
| ? [X82] :
( ~ p2(X82)
& r1(X81,X82)
& ! [X83] :
( ! [X84] :
( p2(X84)
| ~ r1(X83,X84) )
| ~ p2(X83)
| ~ r1(X82,X83) ) ) ) ),
inference(definition_folding,[],[f8,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9]) ).
fof(f9,plain,
! [X21] :
( ! [X22] :
( ~ r1(X21,X22)
| ( ~ p3(X22)
& ? [X23] : r1(X22,X23)
& ~ p2(X22)
& ~ p4(X22)
& ~ p1(X22) )
| ! [X24] :
( ~ r1(X22,X24)
| p4(X24)
| p3(X24)
| p2(X24)
| p1(X24)
| ! [X25] : ~ r1(X24,X25) ) )
| ~ sP0(X21) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f10,plain,
! [X141] :
( ! [X144] :
( ! [X147] :
( p1(X147)
| ! [X148] :
( ! [X149] : ~ r1(X148,X149)
| p2(X148)
| p4(X148)
| p1(X148)
| p3(X148)
| ~ r1(X147,X148) )
| ~ r1(X144,X147) )
| ( ~ p1(X144)
& ? [X145] :
( ~ p1(X145)
& r1(X144,X145)
& ? [X146] : r1(X145,X146)
& ~ p4(X145)
& ~ p3(X145)
& ~ p2(X145) ) )
| ~ r1(X141,X144) )
| ~ sP1(X141) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f11,plain,
! [X141] :
( ? [X142] :
( ? [X143] : r1(X142,X143)
& ~ p4(X142)
& ~ p3(X142)
& ~ p1(X142)
& r1(X141,X142)
& ~ p2(X142) )
| ~ sP2(X141) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f12,plain,
! [X117] :
( ! [X118] :
( ( ~ p1(X118)
& ? [X122] :
( ~ p3(X122)
& ? [X123] : r1(X122,X123)
& r1(X118,X122)
& ~ p2(X122)
& ~ p1(X122)
& ~ p4(X122) )
& ~ p2(X118) )
| ~ r1(X117,X118)
| ! [X119] :
( ! [X120] :
( p4(X120)
| p3(X120)
| p1(X120)
| p2(X120)
| ~ r1(X119,X120)
| ! [X121] : ~ r1(X120,X121) )
| p1(X119)
| ~ r1(X118,X119)
| p2(X119) ) )
| ~ sP3(X117) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f13,plain,
! [X117] :
( ? [X124] :
( ~ p2(X124)
& ~ p4(X124)
& ~ p1(X124)
& ~ p3(X124)
& r1(X117,X124)
& ? [X125] : r1(X124,X125) )
| ~ sP4(X117) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f15,plain,
! [X100] :
( ! [X101] :
( ( ~ p2(X101)
& ~ p3(X101)
& ? [X104] : r1(X101,X104)
& ~ p1(X101) )
| ! [X102] :
( p3(X102)
| ! [X103] : ~ r1(X102,X103)
| ~ r1(X101,X102)
| p2(X102)
| p1(X102) )
| ~ r1(X100,X101) )
| ~ sP6(X100) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f16,plain,
! [X133] :
( ? [X134] :
( ~ p3(X134)
& ~ p2(X134)
& ~ p1(X134)
& r1(X133,X134)
& ~ p4(X134)
& ? [X135] : r1(X134,X135) )
| ~ sP7(X133) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f17,plain,
! [X130] :
( ? [X131] :
( ~ p1(X131)
& ~ p2(X131)
& ? [X132] : r1(X131,X132)
& r1(X130,X131)
& ~ p4(X131)
& ~ p3(X131) )
| ~ sP8(X130) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f18,plain,
! [X130] :
( ! [X133] :
( ( ~ p3(X133)
& ~ p4(X133)
& ~ p1(X133)
& ~ p2(X133)
& sP7(X133) )
| ~ r1(X130,X133)
| ! [X136] :
( p4(X136)
| p2(X136)
| p1(X136)
| p3(X136)
| ! [X137] :
( p2(X137)
| p1(X137)
| ~ r1(X136,X137)
| p3(X137)
| ! [X138] : ~ r1(X137,X138)
| p4(X137) )
| ~ r1(X133,X136) ) )
| ~ sP9(X130) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f19,plain,
! [X36] :
( ? [X37] :
( ~ p1(X37)
& r1(X36,X37)
& ? [X38] : r1(X37,X38)
& ~ p2(X37)
& ~ p4(X37)
& ~ p3(X37) )
| ~ sP10(X36) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f20,plain,
! [X33] :
( ? [X34] :
( ? [X35] : r1(X34,X35)
& ~ p3(X34)
& ~ p1(X34)
& ~ p2(X34)
& r1(X33,X34)
& ~ p4(X34) )
| ~ sP11(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f21,plain,
! [X27] :
( ! [X28] :
( ~ r1(X27,X28)
| ( ~ p1(X28)
& ? [X33] :
( ~ p1(X33)
& ~ p4(X33)
& ~ p2(X33)
& sP11(X33)
& r1(X28,X33)
& ~ p3(X33) ) )
| ! [X29] :
( p1(X29)
| ! [X30] :
( p4(X30)
| p1(X30)
| ~ r1(X29,X30)
| p3(X30)
| ! [X31] :
( p1(X31)
| ~ r1(X30,X31)
| p4(X31)
| p3(X31)
| p2(X31)
| ! [X32] : ~ r1(X31,X32) )
| p2(X30) )
| ~ r1(X28,X29) ) )
| ~ sP12(X27) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f22,plain,
! [X27] :
( ? [X36] :
( r1(X27,X36)
& sP10(X36)
& ~ p2(X36)
& ~ p4(X36)
& ~ p3(X36)
& ~ p1(X36) )
| ~ sP13(X27) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f25,plain,
! [X62] :
( ! [X63] :
( ! [X64] :
( ~ r1(X63,X64)
| p2(X64)
| ? [X65] :
( p2(X65)
& ? [X66] :
( r1(X65,X66)
& ~ p2(X66) )
& r1(X64,X65) ) )
| ~ r1(X62,X63) )
| ~ sP16(X62) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f27,plain,
! [X61] :
( ! [X62] :
( ( ( ? [X67] :
( ~ p2(X67)
& r1(X62,X67)
& ! [X68] :
( ~ p2(X68)
| ! [X69] :
( ~ r1(X68,X69)
| p2(X69) )
| ~ r1(X67,X68) ) )
| sP16(X62) )
& ( ? [X70] :
( r1(X62,X70)
& ? [X71] :
( r1(X70,X71)
& ~ p2(X71) )
& p2(X70) )
| p2(X62) ) )
| ~ r1(X61,X62) )
| ~ sP18(X61) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f28,plain,
! [X0] :
( ( ( ? [X42] :
( ? [X43] :
( r1(X42,X43)
& ~ p2(X43) )
& p2(X42)
& r1(X0,X42) )
| p2(X0) )
& ( ? [X48] :
( ~ p2(X48)
& ! [X49] :
( ~ p2(X49)
| ! [X50] :
( ~ r1(X49,X50)
| p2(X50) )
| ~ r1(X48,X49) )
& r1(X0,X48) )
| sP14(X0) ) )
| ~ sP19(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f29,plain,
! [X107] :
( ? [X111] :
( ~ p1(X111)
& ~ p3(X111)
& ~ p4(X111)
& r1(X107,X111)
& ~ p2(X111)
& ? [X112] : r1(X111,X112) )
| ~ sP20(X107) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f30,plain,
! [X106] :
( ? [X113] :
( ? [X114] : r1(X113,X114)
& ~ p2(X113)
& ~ p1(X113)
& r1(X106,X113)
& ~ p4(X113)
& ~ p3(X113) )
| ~ sP21(X106) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f31,plain,
! [X106] :
( ! [X107] :
( ! [X108] :
( p1(X108)
| p3(X108)
| ! [X109] :
( p2(X109)
| ! [X110] : ~ r1(X109,X110)
| p4(X109)
| p3(X109)
| ~ r1(X108,X109)
| p1(X109) )
| p2(X108)
| ~ r1(X107,X108) )
| ~ r1(X106,X107)
| ( ~ p2(X107)
& ~ p1(X107)
& ~ p3(X107)
& sP20(X107) ) )
| ~ sP22(X106) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f8,plain,
? [X0] :
( ( ( ! [X1] :
( ? [X2] :
( p2(X2)
& r1(X1,X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) ) )
| p2(X1)
| ~ r1(X0,X1) )
& ? [X4] :
( r1(X0,X4)
& ~ p2(X4) ) )
| ! [X5] :
( ~ r1(X0,X5)
| ~ p5(X5) ) )
& ( p2(X0)
| ? [X106] :
( r1(X0,X106)
& ! [X107] :
( ! [X108] :
( p1(X108)
| p3(X108)
| ! [X109] :
( p2(X109)
| ! [X110] : ~ r1(X109,X110)
| p4(X109)
| p3(X109)
| ~ r1(X108,X109)
| p1(X109) )
| p2(X108)
| ~ r1(X107,X108) )
| ~ r1(X106,X107)
| ( ~ p2(X107)
& ~ p1(X107)
& ~ p3(X107)
& ? [X111] :
( ~ p1(X111)
& ~ p3(X111)
& ~ p4(X111)
& r1(X107,X111)
& ~ p2(X111)
& ? [X112] : r1(X111,X112) ) ) )
& ~ p2(X106)
& ? [X113] :
( ? [X114] : r1(X113,X114)
& ~ p2(X113)
& ~ p1(X113)
& r1(X106,X113)
& ~ p4(X113)
& ~ p3(X113) )
& ~ p3(X106)
& ~ p1(X106) )
| ! [X115] :
( ~ r1(X0,X115)
| p2(X115)
| p1(X115)
| ! [X116] : ~ r1(X115,X116)
| p3(X115)
| p4(X115) )
| p3(X0)
| p1(X0) )
& ? [X12] :
( ~ p3(X12)
& r1(X0,X12) )
& ( ? [X51] :
( ! [X61] :
( ( ! [X74] :
( p2(X74)
| ? [X75] :
( ? [X76] :
( r1(X75,X76)
& ~ p2(X76) )
& p2(X75)
& r1(X74,X75) )
| ~ r1(X61,X74) )
& ? [X77] :
( ? [X78] :
( r1(X77,X78)
& ~ p2(X78)
& ! [X79] :
( ! [X80] :
( ~ r1(X79,X80)
| p2(X80) )
| ~ r1(X78,X79)
| ~ p2(X79) ) )
& r1(X61,X77) ) )
| ( ~ p2(X61)
& ! [X72] :
( ~ p2(X72)
| ~ r1(X61,X72)
| ! [X73] :
( ~ r1(X72,X73)
| p2(X73) ) ) )
| ~ r1(X51,X61)
| ! [X62] :
( ( ( ? [X67] :
( ~ p2(X67)
& r1(X62,X67)
& ! [X68] :
( ~ p2(X68)
| ! [X69] :
( ~ r1(X68,X69)
| p2(X69) )
| ~ r1(X67,X68) ) )
| ! [X63] :
( ! [X64] :
( ~ r1(X63,X64)
| p2(X64)
| ? [X65] :
( p2(X65)
& ? [X66] :
( r1(X65,X66)
& ~ p2(X66) )
& r1(X64,X65) ) )
| ~ r1(X62,X63) ) )
& ( ? [X70] :
( r1(X62,X70)
& ? [X71] :
( r1(X70,X71)
& ~ p2(X71) )
& p2(X70) )
| p2(X62) ) )
| ~ r1(X61,X62) ) )
& ( ( ! [X54] :
( ? [X55] :
( p2(X55)
& ? [X56] :
( ~ p2(X56)
& r1(X55,X56) )
& r1(X54,X55) )
| p2(X54)
| ~ r1(X51,X54) )
& ? [X57] :
( ? [X58] :
( ! [X59] :
( ~ p2(X59)
| ~ r1(X58,X59)
| ! [X60] :
( ~ r1(X59,X60)
| p2(X60) ) )
& ~ p2(X58)
& r1(X57,X58) )
& r1(X51,X57) ) )
| ( ! [X52] :
( ! [X53] :
( ~ r1(X52,X53)
| p2(X53) )
| ~ p2(X52)
| ~ r1(X51,X52) )
& ~ p2(X51) ) )
& r1(X0,X51) )
| ( ( ? [X42] :
( ? [X43] :
( r1(X42,X43)
& ~ p2(X43) )
& p2(X42)
& r1(X0,X42) )
| p2(X0) )
& ( ? [X48] :
( ~ p2(X48)
& ! [X49] :
( ~ p2(X49)
| ! [X50] :
( ~ r1(X49,X50)
| p2(X50) )
| ~ r1(X48,X49) )
& r1(X0,X48) )
| ! [X44] :
( ~ r1(X0,X44)
| ! [X45] :
( ? [X46] :
( ? [X47] :
( ~ p2(X47)
& r1(X46,X47) )
& p2(X46)
& r1(X45,X46) )
| p2(X45)
| ~ r1(X44,X45) ) ) ) ) )
& ( ! [X39] :
( ! [X40] :
( ~ r1(X39,X40)
| p2(X40)
| p1(X40)
| p3(X40)
| ! [X41] : ~ r1(X40,X41)
| p4(X40) )
| p4(X39)
| ~ r1(X0,X39)
| p3(X39)
| p2(X39)
| p1(X39) )
| p1(X0)
| ? [X27] :
( ! [X28] :
( ~ r1(X27,X28)
| ( ~ p1(X28)
& ? [X33] :
( ~ p1(X33)
& ~ p4(X33)
& ~ p2(X33)
& ? [X34] :
( ? [X35] : r1(X34,X35)
& ~ p3(X34)
& ~ p1(X34)
& ~ p2(X34)
& r1(X33,X34)
& ~ p4(X34) )
& r1(X28,X33)
& ~ p3(X33) ) )
| ! [X29] :
( p1(X29)
| ! [X30] :
( p4(X30)
| p1(X30)
| ~ r1(X29,X30)
| p3(X30)
| ! [X31] :
( p1(X31)
| ~ r1(X30,X31)
| p4(X31)
| p3(X31)
| p2(X31)
| ! [X32] : ~ r1(X31,X32) )
| p2(X30) )
| ~ r1(X28,X29) ) )
& ~ p1(X27)
& r1(X0,X27)
& ? [X36] :
( r1(X27,X36)
& ? [X37] :
( ~ p1(X37)
& r1(X36,X37)
& ? [X38] : r1(X37,X38)
& ~ p2(X37)
& ~ p4(X37)
& ~ p3(X37) )
& ~ p2(X36)
& ~ p4(X36)
& ~ p3(X36)
& ~ p1(X36) ) ) )
& ! [X13] :
( p3(X13)
| ~ r1(X0,X13)
| ? [X14] :
( r1(X13,X14)
& ? [X15] :
( ~ p3(X15)
& r1(X14,X15) )
& p3(X14) ) )
& ? [X19] :
( ~ p1(X19)
& r1(X0,X19) )
& ( p4(X0)
| p3(X0)
| p1(X0)
| ? [X130] :
( ~ p1(X130)
& ~ p4(X130)
& r1(X0,X130)
& ? [X131] :
( ~ p1(X131)
& ~ p2(X131)
& ? [X132] : r1(X131,X132)
& r1(X130,X131)
& ~ p4(X131)
& ~ p3(X131) )
& ! [X133] :
( ( ~ p3(X133)
& ~ p4(X133)
& ~ p1(X133)
& ~ p2(X133)
& ? [X134] :
( ~ p3(X134)
& ~ p2(X134)
& ~ p1(X134)
& r1(X133,X134)
& ~ p4(X134)
& ? [X135] : r1(X134,X135) ) )
| ~ r1(X130,X133)
| ! [X136] :
( p4(X136)
| p2(X136)
| p1(X136)
| p3(X136)
| ! [X137] :
( p2(X137)
| p1(X137)
| ~ r1(X136,X137)
| p3(X137)
| ! [X138] : ~ r1(X137,X138)
| p4(X137) )
| ~ r1(X133,X136) ) )
& ~ p2(X130)
& ~ p3(X130) )
| p2(X0)
| ! [X128] :
( p3(X128)
| p2(X128)
| p1(X128)
| ! [X129] : ~ r1(X128,X129)
| ~ r1(X0,X128)
| p4(X128) ) )
& ( p3(X0)
| ! [X99] : ~ r1(X0,X99)
| p2(X0)
| p1(X0)
| ? [X100] :
( ~ p1(X100)
& ! [X101] :
( ( ~ p2(X101)
& ~ p3(X101)
& ? [X104] : r1(X101,X104)
& ~ p1(X101) )
| ! [X102] :
( p3(X102)
| ! [X103] : ~ r1(X102,X103)
| ~ r1(X101,X102)
| p2(X102)
| p1(X102) )
| ~ r1(X100,X101) )
& ~ p2(X100)
& r1(X0,X100)
& ~ p3(X100)
& ? [X105] : r1(X100,X105) ) )
& ( ? [X92] :
( ? [X97] : r1(X92,X97)
& r1(X0,X92)
& ! [X93] :
( ! [X94] :
( ~ r1(X93,X94)
| p2(X94)
| p1(X94)
| ! [X95] : ~ r1(X94,X95) )
| ~ r1(X92,X93)
| ( ~ p2(X93)
& ~ p1(X93)
& ? [X96] : r1(X93,X96) ) )
& ~ p2(X92)
& ~ p1(X92) )
| p1(X0)
| ! [X98] : ~ r1(X0,X98)
| p2(X0) )
& ( ( ! [X7] :
( p2(X7)
| ? [X8] :
( r1(X7,X8)
& p2(X8)
& ? [X9] :
( r1(X8,X9)
& ~ p2(X9) ) )
| ~ r1(X0,X7) )
& ? [X6] :
( r1(X0,X6)
& ~ p2(X6) ) )
| ! [X10] :
( ? [X11] :
( r1(X10,X11)
& p5(X11) )
| ~ r1(X0,X10) ) )
& ( ! [X126] :
( p4(X126)
| p2(X126)
| ! [X127] : ~ r1(X126,X127)
| ~ r1(X0,X126)
| p3(X126)
| p1(X126) )
| ? [X117] :
( ? [X124] :
( ~ p2(X124)
& ~ p4(X124)
& ~ p1(X124)
& ~ p3(X124)
& r1(X117,X124)
& ? [X125] : r1(X124,X125) )
& ~ p1(X117)
& ! [X118] :
( ( ~ p1(X118)
& ? [X122] :
( ~ p3(X122)
& ? [X123] : r1(X122,X123)
& r1(X118,X122)
& ~ p2(X122)
& ~ p1(X122)
& ~ p4(X122) )
& ~ p2(X118) )
| ~ r1(X117,X118)
| ! [X119] :
( ! [X120] :
( p4(X120)
| p3(X120)
| p1(X120)
| p2(X120)
| ~ r1(X119,X120)
| ! [X121] : ~ r1(X120,X121) )
| p1(X119)
| ~ r1(X118,X119)
| p2(X119) ) )
& ~ p2(X117)
& r1(X0,X117) )
| p1(X0)
| p2(X0) )
& ( ! [X139] :
( p2(X139)
| p3(X139)
| p4(X139)
| p1(X139)
| ~ r1(X0,X139)
| ! [X140] : ~ r1(X139,X140) )
| ? [X141] :
( ? [X142] :
( ? [X143] : r1(X142,X143)
& ~ p4(X142)
& ~ p3(X142)
& ~ p1(X142)
& r1(X141,X142)
& ~ p2(X142) )
& ~ p1(X141)
& r1(X0,X141)
& ! [X144] :
( ! [X147] :
( p1(X147)
| ! [X148] :
( ! [X149] : ~ r1(X148,X149)
| p2(X148)
| p4(X148)
| p1(X148)
| p3(X148)
| ~ r1(X147,X148) )
| ~ r1(X144,X147) )
| ( ~ p1(X144)
& ? [X145] :
( ~ p1(X145)
& r1(X144,X145)
& ? [X146] : r1(X145,X146)
& ~ p4(X145)
& ~ p3(X145)
& ~ p2(X145) ) )
| ~ r1(X141,X144) ) )
| p1(X0) )
& ( p4(X0)
| ? [X21] :
( ! [X22] :
( ~ r1(X21,X22)
| ( ~ p3(X22)
& ? [X23] : r1(X22,X23)
& ~ p2(X22)
& ~ p4(X22)
& ~ p1(X22) )
| ! [X24] :
( ~ r1(X22,X24)
| p4(X24)
| p3(X24)
| p2(X24)
| p1(X24)
| ! [X25] : ~ r1(X24,X25) ) )
& ~ p4(X21)
& ~ p1(X21)
& ? [X26] : r1(X21,X26)
& ~ p2(X21)
& r1(X0,X21)
& ~ p3(X21) )
| p2(X0)
| ! [X20] : ~ r1(X0,X20)
| p1(X0)
| p3(X0) )
& ! [X16] :
( ? [X17] :
( ? [X18] :
( r1(X17,X18)
& ~ p1(X18) )
& p1(X17)
& r1(X16,X17) )
| ~ r1(X0,X16)
| p1(X16) )
& ( ! [X91] : ~ r1(X0,X91)
| p1(X0)
| ? [X85] :
( ? [X86] : r1(X85,X86)
& r1(X0,X85)
& ! [X87] :
( ! [X88] :
( ~ r1(X87,X88)
| ! [X89] : ~ r1(X88,X89)
| p1(X88) )
| ( ? [X90] : r1(X87,X90)
& ~ p1(X87) )
| ~ r1(X85,X87) )
& ~ p1(X85) ) )
& ! [X81] :
( ~ r1(X0,X81)
| p2(X81)
| ? [X82] :
( ~ p2(X82)
& r1(X81,X82)
& ! [X83] :
( ! [X84] :
( p2(X84)
| ~ r1(X83,X84) )
| ~ p2(X83)
| ~ r1(X82,X83) ) ) ) ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
? [X0] :
( ? [X12] :
( ~ p3(X12)
& r1(X0,X12) )
& ( ( ! [X1] :
( ? [X2] :
( p2(X2)
& r1(X1,X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) ) )
| p2(X1)
| ~ r1(X0,X1) )
& ? [X4] :
( r1(X0,X4)
& ~ p2(X4) ) )
| ! [X5] :
( ~ r1(X0,X5)
| ~ p5(X5) ) )
& ( ( ! [X7] :
( p2(X7)
| ? [X8] :
( r1(X7,X8)
& p2(X8)
& ? [X9] :
( r1(X8,X9)
& ~ p2(X9) ) )
| ~ r1(X0,X7) )
& ? [X6] :
( r1(X0,X6)
& ~ p2(X6) ) )
| ! [X10] :
( ? [X11] :
( r1(X10,X11)
& p5(X11) )
| ~ r1(X0,X10) ) )
& ! [X13] :
( p3(X13)
| ~ r1(X0,X13)
| ? [X14] :
( r1(X13,X14)
& ? [X15] :
( ~ p3(X15)
& r1(X14,X15) )
& p3(X14) ) )
& ( ? [X92] :
( ? [X97] : r1(X92,X97)
& r1(X0,X92)
& ! [X93] :
( ! [X94] :
( ~ r1(X93,X94)
| p2(X94)
| p1(X94)
| ! [X95] : ~ r1(X94,X95) )
| ~ r1(X92,X93)
| ( ~ p2(X93)
& ~ p1(X93)
& ? [X96] : r1(X93,X96) ) )
& ~ p2(X92)
& ~ p1(X92) )
| p1(X0)
| ! [X98] : ~ r1(X0,X98)
| p2(X0) )
& ! [X81] :
( ~ r1(X0,X81)
| p2(X81)
| ? [X82] :
( ~ p2(X82)
& r1(X81,X82)
& ! [X83] :
( ! [X84] :
( p2(X84)
| ~ r1(X83,X84) )
| ~ p2(X83)
| ~ r1(X82,X83) ) ) )
& ( p4(X0)
| p3(X0)
| p1(X0)
| ? [X130] :
( ~ p1(X130)
& ~ p4(X130)
& r1(X0,X130)
& ? [X131] :
( ~ p1(X131)
& ~ p2(X131)
& ? [X132] : r1(X131,X132)
& r1(X130,X131)
& ~ p4(X131)
& ~ p3(X131) )
& ! [X133] :
( ( ~ p3(X133)
& ~ p4(X133)
& ~ p1(X133)
& ~ p2(X133)
& ? [X134] :
( ~ p3(X134)
& ~ p2(X134)
& ~ p1(X134)
& r1(X133,X134)
& ~ p4(X134)
& ? [X135] : r1(X134,X135) ) )
| ~ r1(X130,X133)
| ! [X136] :
( p4(X136)
| p2(X136)
| p1(X136)
| p3(X136)
| ! [X137] :
( p2(X137)
| p1(X137)
| ~ r1(X136,X137)
| p3(X137)
| ! [X138] : ~ r1(X137,X138)
| p4(X137) )
| ~ r1(X133,X136) ) )
& ~ p2(X130)
& ~ p3(X130) )
| p2(X0)
| ! [X128] :
( p3(X128)
| p2(X128)
| p1(X128)
| ! [X129] : ~ r1(X128,X129)
| ~ r1(X0,X128)
| p4(X128) ) )
& ( ! [X139] :
( p2(X139)
| p3(X139)
| p4(X139)
| p1(X139)
| ~ r1(X0,X139)
| ! [X140] : ~ r1(X139,X140) )
| ? [X141] :
( ? [X142] :
( ? [X143] : r1(X142,X143)
& ~ p4(X142)
& ~ p3(X142)
& ~ p1(X142)
& r1(X141,X142)
& ~ p2(X142) )
& ~ p1(X141)
& r1(X0,X141)
& ! [X144] :
( ! [X147] :
( p1(X147)
| ! [X148] :
( ! [X149] : ~ r1(X148,X149)
| p2(X148)
| p4(X148)
| p1(X148)
| p3(X148)
| ~ r1(X147,X148) )
| ~ r1(X144,X147) )
| ( ~ p1(X144)
& ? [X145] :
( ~ p1(X145)
& r1(X144,X145)
& ? [X146] : r1(X145,X146)
& ~ p4(X145)
& ~ p3(X145)
& ~ p2(X145) ) )
| ~ r1(X141,X144) ) )
| p1(X0) )
& ( p3(X0)
| ! [X99] : ~ r1(X0,X99)
| p2(X0)
| p1(X0)
| ? [X100] :
( ~ p1(X100)
& ! [X101] :
( ( ~ p2(X101)
& ~ p3(X101)
& ? [X104] : r1(X101,X104)
& ~ p1(X101) )
| ! [X102] :
( p3(X102)
| ! [X103] : ~ r1(X102,X103)
| ~ r1(X101,X102)
| p2(X102)
| p1(X102) )
| ~ r1(X100,X101) )
& ~ p2(X100)
& r1(X0,X100)
& ~ p3(X100)
& ? [X105] : r1(X100,X105) ) )
& ( p4(X0)
| ? [X21] :
( ! [X22] :
( ~ r1(X21,X22)
| ( ~ p3(X22)
& ? [X23] : r1(X22,X23)
& ~ p2(X22)
& ~ p4(X22)
& ~ p1(X22) )
| ! [X24] :
( ~ r1(X22,X24)
| p4(X24)
| p3(X24)
| p2(X24)
| p1(X24)
| ! [X25] : ~ r1(X24,X25) ) )
& ~ p4(X21)
& ~ p1(X21)
& ? [X26] : r1(X21,X26)
& ~ p2(X21)
& r1(X0,X21)
& ~ p3(X21) )
| p2(X0)
| ! [X20] : ~ r1(X0,X20)
| p1(X0)
| p3(X0) )
& ( ! [X126] :
( p4(X126)
| p2(X126)
| ! [X127] : ~ r1(X126,X127)
| ~ r1(X0,X126)
| p3(X126)
| p1(X126) )
| ? [X117] :
( ? [X124] :
( ~ p2(X124)
& ~ p4(X124)
& ~ p1(X124)
& ~ p3(X124)
& r1(X117,X124)
& ? [X125] : r1(X124,X125) )
& ~ p1(X117)
& ! [X118] :
( ( ~ p1(X118)
& ? [X122] :
( ~ p3(X122)
& ? [X123] : r1(X122,X123)
& r1(X118,X122)
& ~ p2(X122)
& ~ p1(X122)
& ~ p4(X122) )
& ~ p2(X118) )
| ~ r1(X117,X118)
| ! [X119] :
( ! [X120] :
( p4(X120)
| p3(X120)
| p1(X120)
| p2(X120)
| ~ r1(X119,X120)
| ! [X121] : ~ r1(X120,X121) )
| p1(X119)
| ~ r1(X118,X119)
| p2(X119) ) )
& ~ p2(X117)
& r1(X0,X117) )
| p1(X0)
| p2(X0) )
& ( ! [X91] : ~ r1(X0,X91)
| p1(X0)
| ? [X85] :
( ? [X86] : r1(X85,X86)
& r1(X0,X85)
& ! [X87] :
( ! [X88] :
( ~ r1(X87,X88)
| ! [X89] : ~ r1(X88,X89)
| p1(X88) )
| ( ? [X90] : r1(X87,X90)
& ~ p1(X87) )
| ~ r1(X85,X87) )
& ~ p1(X85) ) )
& ( p2(X0)
| ? [X106] :
( r1(X0,X106)
& ! [X107] :
( ! [X108] :
( p1(X108)
| p3(X108)
| ! [X109] :
( p2(X109)
| ! [X110] : ~ r1(X109,X110)
| p4(X109)
| p3(X109)
| ~ r1(X108,X109)
| p1(X109) )
| p2(X108)
| ~ r1(X107,X108) )
| ~ r1(X106,X107)
| ( ~ p2(X107)
& ~ p1(X107)
& ~ p3(X107)
& ? [X111] :
( ~ p1(X111)
& ~ p3(X111)
& ~ p4(X111)
& r1(X107,X111)
& ~ p2(X111)
& ? [X112] : r1(X111,X112) ) ) )
& ~ p2(X106)
& ? [X113] :
( ? [X114] : r1(X113,X114)
& ~ p2(X113)
& ~ p1(X113)
& r1(X106,X113)
& ~ p4(X113)
& ~ p3(X113) )
& ~ p3(X106)
& ~ p1(X106) )
| ! [X115] :
( ~ r1(X0,X115)
| p2(X115)
| p1(X115)
| ! [X116] : ~ r1(X115,X116)
| p3(X115)
| p4(X115) )
| p3(X0)
| p1(X0) )
& ( ( ( ? [X42] :
( ? [X43] :
( r1(X42,X43)
& ~ p2(X43) )
& p2(X42)
& r1(X0,X42) )
| p2(X0) )
& ( ? [X48] :
( ~ p2(X48)
& ! [X49] :
( ~ p2(X49)
| ! [X50] :
( ~ r1(X49,X50)
| p2(X50) )
| ~ r1(X48,X49) )
& r1(X0,X48) )
| ! [X44] :
( ~ r1(X0,X44)
| ! [X45] :
( ? [X46] :
( ? [X47] :
( ~ p2(X47)
& r1(X46,X47) )
& p2(X46)
& r1(X45,X46) )
| p2(X45)
| ~ r1(X44,X45) ) ) ) )
| ? [X51] :
( ! [X61] :
( ! [X62] :
( ( ( ? [X67] :
( ~ p2(X67)
& r1(X62,X67)
& ! [X68] :
( ~ p2(X68)
| ! [X69] :
( ~ r1(X68,X69)
| p2(X69) )
| ~ r1(X67,X68) ) )
| ! [X63] :
( ! [X64] :
( ~ r1(X63,X64)
| p2(X64)
| ? [X65] :
( p2(X65)
& ? [X66] :
( r1(X65,X66)
& ~ p2(X66) )
& r1(X64,X65) ) )
| ~ r1(X62,X63) ) )
& ( ? [X70] :
( r1(X62,X70)
& ? [X71] :
( r1(X70,X71)
& ~ p2(X71) )
& p2(X70) )
| p2(X62) ) )
| ~ r1(X61,X62) )
| ( ~ p2(X61)
& ! [X72] :
( ~ p2(X72)
| ~ r1(X61,X72)
| ! [X73] :
( ~ r1(X72,X73)
| p2(X73) ) ) )
| ( ! [X74] :
( p2(X74)
| ? [X75] :
( ? [X76] :
( r1(X75,X76)
& ~ p2(X76) )
& p2(X75)
& r1(X74,X75) )
| ~ r1(X61,X74) )
& ? [X77] :
( ? [X78] :
( r1(X77,X78)
& ~ p2(X78)
& ! [X79] :
( ! [X80] :
( ~ r1(X79,X80)
| p2(X80) )
| ~ r1(X78,X79)
| ~ p2(X79) ) )
& r1(X61,X77) ) )
| ~ r1(X51,X61) )
& r1(X0,X51)
& ( ( ! [X54] :
( ? [X55] :
( p2(X55)
& ? [X56] :
( ~ p2(X56)
& r1(X55,X56) )
& r1(X54,X55) )
| p2(X54)
| ~ r1(X51,X54) )
& ? [X57] :
( ? [X58] :
( ! [X59] :
( ~ p2(X59)
| ~ r1(X58,X59)
| ! [X60] :
( ~ r1(X59,X60)
| p2(X60) ) )
& ~ p2(X58)
& r1(X57,X58) )
& r1(X51,X57) ) )
| ( ! [X52] :
( ! [X53] :
( ~ r1(X52,X53)
| p2(X53) )
| ~ p2(X52)
| ~ r1(X51,X52) )
& ~ p2(X51) ) ) ) )
& ( ! [X39] :
( ! [X40] :
( ~ r1(X39,X40)
| p2(X40)
| p1(X40)
| p3(X40)
| ! [X41] : ~ r1(X40,X41)
| p4(X40) )
| p4(X39)
| ~ r1(X0,X39)
| p3(X39)
| p2(X39)
| p1(X39) )
| p1(X0)
| ? [X27] :
( ! [X28] :
( ~ r1(X27,X28)
| ( ~ p1(X28)
& ? [X33] :
( ~ p1(X33)
& ~ p4(X33)
& ~ p2(X33)
& ? [X34] :
( ? [X35] : r1(X34,X35)
& ~ p3(X34)
& ~ p1(X34)
& ~ p2(X34)
& r1(X33,X34)
& ~ p4(X34) )
& r1(X28,X33)
& ~ p3(X33) ) )
| ! [X29] :
( p1(X29)
| ! [X30] :
( p4(X30)
| p1(X30)
| ~ r1(X29,X30)
| p3(X30)
| ! [X31] :
( p1(X31)
| ~ r1(X30,X31)
| p4(X31)
| p3(X31)
| p2(X31)
| ! [X32] : ~ r1(X31,X32) )
| p2(X30) )
| ~ r1(X28,X29) ) )
& ~ p1(X27)
& r1(X0,X27)
& ? [X36] :
( r1(X27,X36)
& ? [X37] :
( ~ p1(X37)
& r1(X36,X37)
& ? [X38] : r1(X37,X38)
& ~ p2(X37)
& ~ p4(X37)
& ~ p3(X37) )
& ~ p2(X36)
& ~ p4(X36)
& ~ p3(X36)
& ~ p1(X36) ) ) )
& ? [X19] :
( ~ p1(X19)
& r1(X0,X19) )
& ! [X16] :
( ? [X17] :
( ? [X18] :
( r1(X17,X18)
& ~ p1(X18) )
& p1(X17)
& r1(X16,X17) )
| ~ r1(X0,X16)
| p1(X16) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
? [X0] :
~ ( ! [X12] :
( p3(X12)
| ~ r1(X0,X12) )
| ( ( ~ ! [X1] :
( p2(X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ p2(X2) )
| ~ r1(X0,X1) )
| ! [X4] :
( p2(X4)
| ~ r1(X0,X4) ) )
& ~ ! [X5] :
( ~ r1(X0,X5)
| ~ p5(X5) ) )
| ( ~ ! [X10] :
( ~ ! [X11] :
( ~ p5(X11)
| ~ r1(X10,X11) )
| ~ r1(X0,X10) )
& ( ~ ! [X7] :
( ~ ! [X8] :
( ~ p2(X8)
| ~ r1(X7,X8)
| ! [X9] :
( p2(X9)
| ~ r1(X8,X9) ) )
| p2(X7)
| ~ r1(X0,X7) )
| ! [X6] :
( p2(X6)
| ~ r1(X0,X6) ) ) )
| ~ ! [X13] :
( p3(X13)
| ~ ! [X14] :
( ~ p3(X14)
| ! [X15] :
( p3(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X0,X13) )
| ~ ( ( ! [X98] : ~ r1(X0,X98)
| p2(X0)
| p1(X0)
| ~ ! [X92] :
( ~ ! [X93] :
( ~ ( p2(X93)
| p1(X93)
| ! [X96] : ~ r1(X93,X96) )
| ! [X94] :
( ~ r1(X93,X94)
| p2(X94)
| p1(X94)
| ! [X95] : ~ r1(X94,X95) )
| ~ r1(X92,X93) )
| ! [X97] : ~ r1(X92,X97)
| ~ r1(X0,X92)
| p2(X92)
| p1(X92) ) )
& ! [X81] :
( ~ ! [X82] :
( ~ ! [X83] :
( ! [X84] :
( p2(X84)
| ~ r1(X83,X84) )
| ~ p2(X83)
| ~ r1(X82,X83) )
| ~ r1(X81,X82)
| p2(X82) )
| ~ r1(X0,X81)
| p2(X81) )
& ( p4(X0)
| p3(X0)
| p1(X0)
| p2(X0)
| ~ ! [X130] :
( p4(X130)
| p3(X130)
| ! [X131] :
( p2(X131)
| p1(X131)
| p4(X131)
| p3(X131)
| ~ r1(X130,X131)
| ! [X132] : ~ r1(X131,X132) )
| p2(X130)
| ~ r1(X0,X130)
| p1(X130)
| ~ ! [X133] :
( ~ ( p3(X133)
| p1(X133)
| p4(X133)
| ! [X134] :
( p3(X134)
| ~ r1(X133,X134)
| p2(X134)
| p1(X134)
| p4(X134)
| ! [X135] : ~ r1(X134,X135) )
| p2(X133) )
| ! [X136] :
( p4(X136)
| p2(X136)
| p1(X136)
| p3(X136)
| ! [X137] :
( p2(X137)
| p1(X137)
| ~ r1(X136,X137)
| p3(X137)
| ! [X138] : ~ r1(X137,X138)
| p4(X137) )
| ~ r1(X133,X136) )
| ~ r1(X130,X133) ) )
| ! [X128] :
( p3(X128)
| p2(X128)
| p1(X128)
| ! [X129] : ~ r1(X128,X129)
| ~ r1(X0,X128)
| p4(X128) ) )
& ( ~ ! [X141] :
( ~ ! [X144] :
( ~ ( p1(X144)
| ! [X145] :
( p4(X145)
| p3(X145)
| p2(X145)
| p1(X145)
| ! [X146] : ~ r1(X145,X146)
| ~ r1(X144,X145) ) )
| ~ r1(X141,X144)
| ! [X147] :
( p1(X147)
| ! [X148] :
( ! [X149] : ~ r1(X148,X149)
| p2(X148)
| p4(X148)
| p1(X148)
| p3(X148)
| ~ r1(X147,X148) )
| ~ r1(X144,X147) ) )
| p1(X141)
| ! [X142] :
( ! [X143] : ~ r1(X142,X143)
| ~ r1(X141,X142)
| p2(X142)
| p4(X142)
| p3(X142)
| p1(X142) )
| ~ r1(X0,X141) )
| ! [X139] :
( p2(X139)
| p3(X139)
| p4(X139)
| p1(X139)
| ~ r1(X0,X139)
| ! [X140] : ~ r1(X139,X140) )
| p1(X0) )
& ( p3(X0)
| ~ ! [X100] :
( p1(X100)
| ~ r1(X0,X100)
| ~ ! [X101] :
( ~ ( p1(X101)
| p3(X101)
| ! [X104] : ~ r1(X101,X104)
| p2(X101) )
| ~ r1(X100,X101)
| ! [X102] :
( p3(X102)
| ! [X103] : ~ r1(X102,X103)
| ~ r1(X101,X102)
| p2(X102)
| p1(X102) ) )
| p2(X100)
| p3(X100)
| ! [X105] : ~ r1(X100,X105) )
| ! [X99] : ~ r1(X0,X99)
| p1(X0)
| p2(X0) )
& ( ~ ! [X21] :
( p2(X21)
| ! [X26] : ~ r1(X21,X26)
| ~ r1(X0,X21)
| ~ ! [X22] :
( ! [X24] :
( ~ r1(X22,X24)
| p4(X24)
| p3(X24)
| p2(X24)
| p1(X24)
| ! [X25] : ~ r1(X24,X25) )
| ~ r1(X21,X22)
| ~ ( p1(X22)
| p4(X22)
| ! [X23] : ~ r1(X22,X23)
| p2(X22)
| p3(X22) ) )
| p4(X21)
| p1(X21)
| p3(X21) )
| p4(X0)
| p1(X0)
| p2(X0)
| p3(X0)
| ! [X20] : ~ r1(X0,X20) )
& ( ! [X126] :
( p4(X126)
| p2(X126)
| ! [X127] : ~ r1(X126,X127)
| ~ r1(X0,X126)
| p3(X126)
| p1(X126) )
| ~ ! [X117] :
( p1(X117)
| ~ r1(X0,X117)
| ~ ! [X118] :
( ! [X119] :
( ! [X120] :
( p4(X120)
| p3(X120)
| p1(X120)
| p2(X120)
| ~ r1(X119,X120)
| ! [X121] : ~ r1(X120,X121) )
| p1(X119)
| ~ r1(X118,X119)
| p2(X119) )
| ~ ( p2(X118)
| p1(X118)
| ! [X122] :
( ! [X123] : ~ r1(X122,X123)
| p2(X122)
| p1(X122)
| ~ r1(X118,X122)
| p3(X122)
| p4(X122) ) )
| ~ r1(X117,X118) )
| p2(X117)
| ! [X124] :
( p2(X124)
| p3(X124)
| ~ r1(X117,X124)
| p1(X124)
| ! [X125] : ~ r1(X124,X125)
| p4(X124) ) )
| p1(X0)
| p2(X0) )
& ( ! [X91] : ~ r1(X0,X91)
| ~ ! [X85] :
( p1(X85)
| ~ ! [X87] :
( ~ r1(X85,X87)
| ! [X88] :
( ~ r1(X87,X88)
| ! [X89] : ~ r1(X88,X89)
| p1(X88) )
| ~ ( p1(X87)
| ! [X90] : ~ r1(X87,X90) ) )
| ~ r1(X0,X85)
| ! [X86] : ~ r1(X85,X86) )
| p1(X0) )
& ( ~ ! [X106] :
( p1(X106)
| ~ r1(X0,X106)
| p2(X106)
| p3(X106)
| ! [X113] :
( ! [X114] : ~ r1(X113,X114)
| ~ r1(X106,X113)
| p4(X113)
| p1(X113)
| p2(X113)
| p3(X113) )
| ~ ! [X107] :
( ! [X108] :
( p1(X108)
| p3(X108)
| ! [X109] :
( p2(X109)
| ! [X110] : ~ r1(X109,X110)
| p4(X109)
| p3(X109)
| ~ r1(X108,X109)
| p1(X109) )
| p2(X108)
| ~ r1(X107,X108) )
| ~ r1(X106,X107)
| ~ ( p2(X107)
| p3(X107)
| ! [X111] :
( ~ r1(X107,X111)
| p1(X111)
| p4(X111)
| p3(X111)
| p2(X111)
| ! [X112] : ~ r1(X111,X112) )
| p1(X107) ) ) )
| p2(X0)
| ! [X115] :
( ~ r1(X0,X115)
| p2(X115)
| p1(X115)
| ! [X116] : ~ r1(X115,X116)
| p3(X115)
| p4(X115) )
| p1(X0)
| p3(X0) )
& ( ( ( ~ ! [X42] :
( ! [X43] :
( ~ r1(X42,X43)
| p2(X43) )
| ~ r1(X0,X42)
| ~ p2(X42) )
| p2(X0) )
& ( ! [X44] :
( ~ r1(X0,X44)
| ! [X45] :
( ~ ! [X46] :
( ~ p2(X46)
| ! [X47] :
( ~ r1(X46,X47)
| p2(X47) )
| ~ r1(X45,X46) )
| p2(X45)
| ~ r1(X44,X45) ) )
| ~ ! [X48] :
( ~ ! [X49] :
( ~ p2(X49)
| ! [X50] :
( ~ r1(X49,X50)
| p2(X50) )
| ~ r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) ) ) )
| ~ ! [X51] :
( ~ ! [X61] :
( ! [X62] :
( ~ r1(X61,X62)
| ( ( ~ ! [X70] :
( ~ r1(X62,X70)
| ! [X71] :
( p2(X71)
| ~ r1(X70,X71) )
| ~ p2(X70) )
| p2(X62) )
& ( ! [X63] :
( ! [X64] :
( p2(X64)
| ~ ! [X65] :
( ! [X66] :
( ~ r1(X65,X66)
| p2(X66) )
| ~ r1(X64,X65)
| ~ p2(X65) )
| ~ r1(X63,X64) )
| ~ r1(X62,X63) )
| ~ ! [X67] :
( p2(X67)
| ~ r1(X62,X67)
| ~ ! [X68] :
( ~ p2(X68)
| ! [X69] :
( ~ r1(X68,X69)
| p2(X69) )
| ~ r1(X67,X68) ) ) ) ) )
| ~ ( ( p2(X61)
| ~ ! [X72] :
( ~ p2(X72)
| ~ r1(X61,X72)
| ! [X73] :
( ~ r1(X72,X73)
| p2(X73) ) ) )
& ( ! [X77] :
( ~ r1(X61,X77)
| ! [X78] :
( p2(X78)
| ~ r1(X77,X78)
| ~ ! [X79] :
( ! [X80] :
( ~ r1(X79,X80)
| p2(X80) )
| ~ r1(X78,X79)
| ~ p2(X79) ) ) )
| ~ ! [X74] :
( ~ ! [X75] :
( ~ p2(X75)
| ~ r1(X74,X75)
| ! [X76] :
( p2(X76)
| ~ r1(X75,X76) ) )
| p2(X74)
| ~ r1(X61,X74) ) ) )
| ~ r1(X51,X61) )
| ~ r1(X0,X51)
| ( ( ~ ! [X52] :
( ! [X53] :
( ~ r1(X52,X53)
| p2(X53) )
| ~ p2(X52)
| ~ r1(X51,X52) )
| p2(X51) )
& ( ~ ! [X54] :
( ~ r1(X51,X54)
| p2(X54)
| ~ ! [X55] :
( ~ r1(X54,X55)
| ! [X56] :
( ~ r1(X55,X56)
| p2(X56) )
| ~ p2(X55) ) )
| ! [X57] :
( ! [X58] :
( ~ r1(X57,X58)
| ~ ! [X59] :
( ~ p2(X59)
| ~ r1(X58,X59)
| ! [X60] :
( ~ r1(X59,X60)
| p2(X60) ) )
| p2(X58) )
| ~ r1(X51,X57) ) ) ) ) )
& ( p1(X0)
| ! [X39] :
( ! [X40] :
( ~ r1(X39,X40)
| p2(X40)
| p1(X40)
| p3(X40)
| ! [X41] : ~ r1(X40,X41)
| p4(X40) )
| p4(X39)
| ~ r1(X0,X39)
| p3(X39)
| p2(X39)
| p1(X39) )
| ~ ! [X27] :
( ! [X36] :
( ~ r1(X27,X36)
| ! [X37] :
( ! [X38] : ~ r1(X37,X38)
| p1(X37)
| p3(X37)
| p4(X37)
| ~ r1(X36,X37)
| p2(X37) )
| p2(X36)
| p1(X36)
| p3(X36)
| p4(X36) )
| ~ r1(X0,X27)
| p1(X27)
| ~ ! [X28] :
( ~ ( p1(X28)
| ! [X33] :
( p3(X33)
| p2(X33)
| p4(X33)
| ~ r1(X28,X33)
| p1(X33)
| ! [X34] :
( ! [X35] : ~ r1(X34,X35)
| p3(X34)
| ~ r1(X33,X34)
| p4(X34)
| p1(X34)
| p2(X34) ) ) )
| ~ r1(X27,X28)
| ! [X29] :
( p1(X29)
| ! [X30] :
( p4(X30)
| p1(X30)
| ~ r1(X29,X30)
| p3(X30)
| ! [X31] :
( p1(X31)
| ~ r1(X30,X31)
| p4(X31)
| p3(X31)
| p2(X31)
| ! [X32] : ~ r1(X31,X32) )
| p2(X30) )
| ~ r1(X28,X29) ) ) ) ) )
| ! [X19] :
( p1(X19)
| ~ r1(X0,X19) )
| ~ ! [X16] :
( ~ ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| p1(X18) )
| ~ p1(X17) )
| ~ r1(X0,X16)
| p1(X16) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ! [X12] :
( p3(X12)
| ~ r1(X0,X12) )
| ( ( ~ ! [X1] :
( p2(X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ p2(X2) )
| ~ r1(X0,X1) )
| ! [X4] :
( p2(X4)
| ~ r1(X0,X4) ) )
& ~ ! [X5] :
( ~ r1(X0,X5)
| ~ p5(X5) ) )
| ( ~ ! [X10] :
( ~ ! [X11] :
( ~ p5(X11)
| ~ r1(X10,X11) )
| ~ r1(X0,X10) )
& ( ~ ! [X7] :
( ~ ! [X8] :
( ~ p2(X8)
| ~ r1(X7,X8)
| ! [X9] :
( p2(X9)
| ~ r1(X8,X9) ) )
| p2(X7)
| ~ r1(X0,X7) )
| ! [X6] :
( p2(X6)
| ~ r1(X0,X6) ) ) )
| ~ ! [X13] :
( p3(X13)
| ~ ! [X14] :
( ~ p3(X14)
| ! [X15] :
( p3(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X0,X13) )
| ~ ( ( ! [X98] : ~ r1(X0,X98)
| p2(X0)
| p1(X0)
| ~ ! [X92] :
( ~ ! [X93] :
( ~ ( p2(X93)
| p1(X93)
| ! [X96] : ~ r1(X93,X96) )
| ! [X94] :
( ~ r1(X93,X94)
| p2(X94)
| p1(X94)
| ! [X95] : ~ r1(X94,X95) )
| ~ r1(X92,X93) )
| ! [X97] : ~ r1(X92,X97)
| ~ r1(X0,X92)
| p2(X92)
| p1(X92) ) )
& ! [X81] :
( ~ ! [X82] :
( ~ ! [X83] :
( ! [X84] :
( p2(X84)
| ~ r1(X83,X84) )
| ~ p2(X83)
| ~ r1(X82,X83) )
| ~ r1(X81,X82)
| p2(X82) )
| ~ r1(X0,X81)
| p2(X81) )
& ( p4(X0)
| p3(X0)
| p1(X0)
| p2(X0)
| ~ ! [X130] :
( p4(X130)
| p3(X130)
| ! [X131] :
( p2(X131)
| p1(X131)
| p4(X131)
| p3(X131)
| ~ r1(X130,X131)
| ! [X132] : ~ r1(X131,X132) )
| p2(X130)
| ~ r1(X0,X130)
| p1(X130)
| ~ ! [X133] :
( ~ ( p3(X133)
| p1(X133)
| p4(X133)
| ! [X134] :
( p3(X134)
| ~ r1(X133,X134)
| p2(X134)
| p1(X134)
| p4(X134)
| ! [X135] : ~ r1(X134,X135) )
| p2(X133) )
| ! [X136] :
( p4(X136)
| p2(X136)
| p1(X136)
| p3(X136)
| ! [X137] :
( p2(X137)
| p1(X137)
| ~ r1(X136,X137)
| p3(X137)
| ! [X138] : ~ r1(X137,X138)
| p4(X137) )
| ~ r1(X133,X136) )
| ~ r1(X130,X133) ) )
| ! [X128] :
( p3(X128)
| p2(X128)
| p1(X128)
| ! [X129] : ~ r1(X128,X129)
| ~ r1(X0,X128)
| p4(X128) ) )
& ( ~ ! [X141] :
( ~ ! [X144] :
( ~ ( p1(X144)
| ! [X145] :
( p4(X145)
| p3(X145)
| p2(X145)
| p1(X145)
| ! [X146] : ~ r1(X145,X146)
| ~ r1(X144,X145) ) )
| ~ r1(X141,X144)
| ! [X147] :
( p1(X147)
| ! [X148] :
( ! [X149] : ~ r1(X148,X149)
| p2(X148)
| p4(X148)
| p1(X148)
| p3(X148)
| ~ r1(X147,X148) )
| ~ r1(X144,X147) ) )
| p1(X141)
| ! [X142] :
( ! [X143] : ~ r1(X142,X143)
| ~ r1(X141,X142)
| p2(X142)
| p4(X142)
| p3(X142)
| p1(X142) )
| ~ r1(X0,X141) )
| ! [X139] :
( p2(X139)
| p3(X139)
| p4(X139)
| p1(X139)
| ~ r1(X0,X139)
| ! [X140] : ~ r1(X139,X140) )
| p1(X0) )
& ( p3(X0)
| ~ ! [X100] :
( p1(X100)
| ~ r1(X0,X100)
| ~ ! [X101] :
( ~ ( p1(X101)
| p3(X101)
| ! [X104] : ~ r1(X101,X104)
| p2(X101) )
| ~ r1(X100,X101)
| ! [X102] :
( p3(X102)
| ! [X103] : ~ r1(X102,X103)
| ~ r1(X101,X102)
| p2(X102)
| p1(X102) ) )
| p2(X100)
| p3(X100)
| ! [X105] : ~ r1(X100,X105) )
| ! [X99] : ~ r1(X0,X99)
| p1(X0)
| p2(X0) )
& ( ~ ! [X21] :
( p2(X21)
| ! [X26] : ~ r1(X21,X26)
| ~ r1(X0,X21)
| ~ ! [X22] :
( ! [X24] :
( ~ r1(X22,X24)
| p4(X24)
| p3(X24)
| p2(X24)
| p1(X24)
| ! [X25] : ~ r1(X24,X25) )
| ~ r1(X21,X22)
| ~ ( p1(X22)
| p4(X22)
| ! [X23] : ~ r1(X22,X23)
| p2(X22)
| p3(X22) ) )
| p4(X21)
| p1(X21)
| p3(X21) )
| p4(X0)
| p1(X0)
| p2(X0)
| p3(X0)
| ! [X20] : ~ r1(X0,X20) )
& ( ! [X126] :
( p4(X126)
| p2(X126)
| ! [X127] : ~ r1(X126,X127)
| ~ r1(X0,X126)
| p3(X126)
| p1(X126) )
| ~ ! [X117] :
( p1(X117)
| ~ r1(X0,X117)
| ~ ! [X118] :
( ! [X119] :
( ! [X120] :
( p4(X120)
| p3(X120)
| p1(X120)
| p2(X120)
| ~ r1(X119,X120)
| ! [X121] : ~ r1(X120,X121) )
| p1(X119)
| ~ r1(X118,X119)
| p2(X119) )
| ~ ( p2(X118)
| p1(X118)
| ! [X122] :
( ! [X123] : ~ r1(X122,X123)
| p2(X122)
| p1(X122)
| ~ r1(X118,X122)
| p3(X122)
| p4(X122) ) )
| ~ r1(X117,X118) )
| p2(X117)
| ! [X124] :
( p2(X124)
| p3(X124)
| ~ r1(X117,X124)
| p1(X124)
| ! [X125] : ~ r1(X124,X125)
| p4(X124) ) )
| p1(X0)
| p2(X0) )
& ( ! [X91] : ~ r1(X0,X91)
| ~ ! [X85] :
( p1(X85)
| ~ ! [X87] :
( ~ r1(X85,X87)
| ! [X88] :
( ~ r1(X87,X88)
| ! [X89] : ~ r1(X88,X89)
| p1(X88) )
| ~ ( p1(X87)
| ! [X90] : ~ r1(X87,X90) ) )
| ~ r1(X0,X85)
| ! [X86] : ~ r1(X85,X86) )
| p1(X0) )
& ( ~ ! [X106] :
( p1(X106)
| ~ r1(X0,X106)
| p2(X106)
| p3(X106)
| ! [X113] :
( ! [X114] : ~ r1(X113,X114)
| ~ r1(X106,X113)
| p4(X113)
| p1(X113)
| p2(X113)
| p3(X113) )
| ~ ! [X107] :
( ! [X108] :
( p1(X108)
| p3(X108)
| ! [X109] :
( p2(X109)
| ! [X110] : ~ r1(X109,X110)
| p4(X109)
| p3(X109)
| ~ r1(X108,X109)
| p1(X109) )
| p2(X108)
| ~ r1(X107,X108) )
| ~ r1(X106,X107)
| ~ ( p2(X107)
| p3(X107)
| ! [X111] :
( ~ r1(X107,X111)
| p1(X111)
| p4(X111)
| p3(X111)
| p2(X111)
| ! [X112] : ~ r1(X111,X112) )
| p1(X107) ) ) )
| p2(X0)
| ! [X115] :
( ~ r1(X0,X115)
| p2(X115)
| p1(X115)
| ! [X116] : ~ r1(X115,X116)
| p3(X115)
| p4(X115) )
| p1(X0)
| p3(X0) )
& ( ( ( ~ ! [X42] :
( ! [X43] :
( ~ r1(X42,X43)
| p2(X43) )
| ~ r1(X0,X42)
| ~ p2(X42) )
| p2(X0) )
& ( ! [X44] :
( ~ r1(X0,X44)
| ! [X45] :
( ~ ! [X46] :
( ~ p2(X46)
| ! [X47] :
( ~ r1(X46,X47)
| p2(X47) )
| ~ r1(X45,X46) )
| p2(X45)
| ~ r1(X44,X45) ) )
| ~ ! [X48] :
( ~ ! [X49] :
( ~ p2(X49)
| ! [X50] :
( ~ r1(X49,X50)
| p2(X50) )
| ~ r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) ) ) )
| ~ ! [X51] :
( ~ ! [X61] :
( ! [X62] :
( ~ r1(X61,X62)
| ( ( ~ ! [X70] :
( ~ r1(X62,X70)
| ! [X71] :
( p2(X71)
| ~ r1(X70,X71) )
| ~ p2(X70) )
| p2(X62) )
& ( ! [X63] :
( ! [X64] :
( p2(X64)
| ~ ! [X65] :
( ! [X66] :
( ~ r1(X65,X66)
| p2(X66) )
| ~ r1(X64,X65)
| ~ p2(X65) )
| ~ r1(X63,X64) )
| ~ r1(X62,X63) )
| ~ ! [X67] :
( p2(X67)
| ~ r1(X62,X67)
| ~ ! [X68] :
( ~ p2(X68)
| ! [X69] :
( ~ r1(X68,X69)
| p2(X69) )
| ~ r1(X67,X68) ) ) ) ) )
| ~ ( ( p2(X61)
| ~ ! [X72] :
( ~ p2(X72)
| ~ r1(X61,X72)
| ! [X73] :
( ~ r1(X72,X73)
| p2(X73) ) ) )
& ( ! [X77] :
( ~ r1(X61,X77)
| ! [X78] :
( p2(X78)
| ~ r1(X77,X78)
| ~ ! [X79] :
( ! [X80] :
( ~ r1(X79,X80)
| p2(X80) )
| ~ r1(X78,X79)
| ~ p2(X79) ) ) )
| ~ ! [X74] :
( ~ ! [X75] :
( ~ p2(X75)
| ~ r1(X74,X75)
| ! [X76] :
( p2(X76)
| ~ r1(X75,X76) ) )
| p2(X74)
| ~ r1(X61,X74) ) ) )
| ~ r1(X51,X61) )
| ~ r1(X0,X51)
| ( ( ~ ! [X52] :
( ! [X53] :
( ~ r1(X52,X53)
| p2(X53) )
| ~ p2(X52)
| ~ r1(X51,X52) )
| p2(X51) )
& ( ~ ! [X54] :
( ~ r1(X51,X54)
| p2(X54)
| ~ ! [X55] :
( ~ r1(X54,X55)
| ! [X56] :
( ~ r1(X55,X56)
| p2(X56) )
| ~ p2(X55) ) )
| ! [X57] :
( ! [X58] :
( ~ r1(X57,X58)
| ~ ! [X59] :
( ~ p2(X59)
| ~ r1(X58,X59)
| ! [X60] :
( ~ r1(X59,X60)
| p2(X60) ) )
| p2(X58) )
| ~ r1(X51,X57) ) ) ) ) )
& ( p1(X0)
| ! [X39] :
( ! [X40] :
( ~ r1(X39,X40)
| p2(X40)
| p1(X40)
| p3(X40)
| ! [X41] : ~ r1(X40,X41)
| p4(X40) )
| p4(X39)
| ~ r1(X0,X39)
| p3(X39)
| p2(X39)
| p1(X39) )
| ~ ! [X27] :
( ! [X36] :
( ~ r1(X27,X36)
| ! [X37] :
( ! [X38] : ~ r1(X37,X38)
| p1(X37)
| p3(X37)
| p4(X37)
| ~ r1(X36,X37)
| p2(X37) )
| p2(X36)
| p1(X36)
| p3(X36)
| p4(X36) )
| ~ r1(X0,X27)
| p1(X27)
| ~ ! [X28] :
( ~ ( p1(X28)
| ! [X33] :
( p3(X33)
| p2(X33)
| p4(X33)
| ~ r1(X28,X33)
| p1(X33)
| ! [X34] :
( ! [X35] : ~ r1(X34,X35)
| p3(X34)
| ~ r1(X33,X34)
| p4(X34)
| p1(X34)
| p2(X34) ) ) )
| ~ r1(X27,X28)
| ! [X29] :
( p1(X29)
| ! [X30] :
( p4(X30)
| p1(X30)
| ~ r1(X29,X30)
| p3(X30)
| ! [X31] :
( p1(X31)
| ~ r1(X30,X31)
| p4(X31)
| p3(X31)
| p2(X31)
| ! [X32] : ~ r1(X31,X32) )
| p2(X30) )
| ~ r1(X28,X29) ) ) ) ) )
| ! [X19] :
( p1(X19)
| ~ r1(X0,X19) )
| ~ ! [X16] :
( ~ ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| p1(X18) )
| ~ p1(X17) )
| ~ r1(X0,X16)
| p1(X16) ) ),
inference(true_and_false_elimination,[],[f4]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ( ( ~ ! [X1] :
( p2(X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ p2(X2) )
| ~ r1(X0,X1) )
| ! [X4] :
( p2(X4)
| ~ r1(X0,X4) ) )
& ~ ! [X5] :
( ~ r1(X0,X5)
| ~ p5(X5) ) )
| ( ~ ! [X10] :
( ~ ! [X11] :
( ~ p5(X11)
| ~ r1(X10,X11) )
| ~ r1(X0,X10) )
& ( ~ ! [X7] :
( ~ ! [X8] :
( ~ p2(X8)
| ~ r1(X7,X8)
| ! [X9] :
( p2(X9)
| ~ r1(X8,X9) ) )
| p2(X7)
| ~ r1(X0,X7) )
| ! [X6] :
( p2(X6)
| ~ r1(X0,X6) ) ) )
| ! [X12] :
( p3(X12)
| ~ r1(X0,X12) )
| ~ ! [X13] :
( p3(X13)
| ~ ! [X14] :
( ~ p3(X14)
| ! [X15] :
( p3(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| ~ r1(X0,X13) )
| ~ ! [X16] :
( ~ ! [X17] :
( ~ r1(X16,X17)
| ! [X18] :
( ~ r1(X17,X18)
| p1(X18) )
| ~ p1(X17) )
| ~ r1(X0,X16)
| p1(X16) )
| ! [X19] :
( p1(X19)
| ~ r1(X0,X19) )
| ~ ( ( p1(X0)
| ! [X20] :
( ~ r1(X0,X20)
| $false )
| p2(X0)
| p4(X0)
| ~ ! [X21] :
( p2(X21)
| ~ r1(X0,X21)
| p3(X21)
| ~ ! [X22] :
( ~ ( ! [X23] :
( $false
| ~ r1(X22,X23) )
| p4(X22)
| p1(X22)
| p2(X22)
| p3(X22) )
| ! [X24] :
( ! [X25] :
( $false
| ~ r1(X24,X25) )
| p3(X24)
| p2(X24)
| p4(X24)
| p1(X24)
| ~ r1(X22,X24) )
| ~ r1(X21,X22) )
| p4(X21)
| ! [X26] :
( $false
| ~ r1(X21,X26) )
| p1(X21) )
| p3(X0) )
& ( ~ ! [X27] :
( p1(X27)
| ~ r1(X0,X27)
| ~ ! [X28] :
( ! [X29] :
( ~ r1(X28,X29)
| ! [X30] :
( ~ r1(X29,X30)
| p4(X30)
| ! [X31] :
( ! [X32] :
( ~ r1(X31,X32)
| $false )
| p1(X31)
| p4(X31)
| p2(X31)
| ~ r1(X30,X31)
| p3(X31) )
| p3(X30)
| p1(X30)
| p2(X30) )
| p1(X29) )
| ~ ( ! [X33] :
( p1(X33)
| p2(X33)
| p3(X33)
| ! [X34] :
( ~ r1(X33,X34)
| p2(X34)
| ! [X35] :
( $false
| ~ r1(X34,X35) )
| p3(X34)
| p1(X34)
| p4(X34) )
| ~ r1(X28,X33)
| p4(X33) )
| p1(X28) )
| ~ r1(X27,X28) )
| ! [X36] :
( p3(X36)
| p4(X36)
| p1(X36)
| p2(X36)
| ~ r1(X27,X36)
| ! [X37] :
( p3(X37)
| p4(X37)
| p2(X37)
| ! [X38] :
( ~ r1(X37,X38)
| $false )
| p1(X37)
| ~ r1(X36,X37) ) ) )
| p1(X0)
| ! [X39] :
( p4(X39)
| ~ r1(X0,X39)
| p1(X39)
| p3(X39)
| p2(X39)
| ! [X40] :
( p3(X40)
| p2(X40)
| p4(X40)
| ~ r1(X39,X40)
| p1(X40)
| ! [X41] :
( $false
| ~ r1(X40,X41) ) ) ) )
& ( ( ( ~ ! [X42] :
( ! [X43] :
( ~ r1(X42,X43)
| p2(X43) )
| ~ r1(X0,X42)
| ~ p2(X42) )
| p2(X0) )
& ( ! [X44] :
( ~ r1(X0,X44)
| ! [X45] :
( ~ ! [X46] :
( ~ p2(X46)
| ! [X47] :
( ~ r1(X46,X47)
| p2(X47) )
| ~ r1(X45,X46) )
| p2(X45)
| ~ r1(X44,X45) ) )
| ~ ! [X48] :
( ~ ! [X49] :
( ~ p2(X49)
| ! [X50] :
( ~ r1(X49,X50)
| p2(X50) )
| ~ r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) ) ) )
| ~ ! [X51] :
( ~ ! [X61] :
( ! [X62] :
( ~ r1(X61,X62)
| ( ( ~ ! [X70] :
( ~ r1(X62,X70)
| ! [X71] :
( p2(X71)
| ~ r1(X70,X71) )
| ~ p2(X70) )
| p2(X62) )
& ( ! [X63] :
( ! [X64] :
( p2(X64)
| ~ ! [X65] :
( ! [X66] :
( ~ r1(X65,X66)
| p2(X66) )
| ~ r1(X64,X65)
| ~ p2(X65) )
| ~ r1(X63,X64) )
| ~ r1(X62,X63) )
| ~ ! [X67] :
( p2(X67)
| ~ r1(X62,X67)
| ~ ! [X68] :
( ~ p2(X68)
| ! [X69] :
( ~ r1(X68,X69)
| p2(X69) )
| ~ r1(X67,X68) ) ) ) ) )
| ~ ( ( p2(X61)
| ~ ! [X72] :
( ~ p2(X72)
| ~ r1(X61,X72)
| ! [X73] :
( ~ r1(X72,X73)
| p2(X73) ) ) )
& ( ! [X77] :
( ~ r1(X61,X77)
| ! [X78] :
( p2(X78)
| ~ r1(X77,X78)
| ~ ! [X79] :
( ! [X80] :
( ~ r1(X79,X80)
| p2(X80) )
| ~ r1(X78,X79)
| ~ p2(X79) ) ) )
| ~ ! [X74] :
( ~ ! [X75] :
( ~ p2(X75)
| ~ r1(X74,X75)
| ! [X76] :
( p2(X76)
| ~ r1(X75,X76) ) )
| p2(X74)
| ~ r1(X61,X74) ) ) )
| ~ r1(X51,X61) )
| ~ r1(X0,X51)
| ( ( ~ ! [X52] :
( ! [X53] :
( ~ r1(X52,X53)
| p2(X53) )
| ~ p2(X52)
| ~ r1(X51,X52) )
| p2(X51) )
& ( ~ ! [X54] :
( ~ r1(X51,X54)
| p2(X54)
| ~ ! [X55] :
( ~ r1(X54,X55)
| ! [X56] :
( ~ r1(X55,X56)
| p2(X56) )
| ~ p2(X55) ) )
| ! [X57] :
( ! [X58] :
( ~ r1(X57,X58)
| ~ ! [X59] :
( ~ p2(X59)
| ~ r1(X58,X59)
| ! [X60] :
( ~ r1(X59,X60)
| p2(X60) ) )
| p2(X58) )
| ~ r1(X51,X57) ) ) ) ) )
& ! [X81] :
( ~ ! [X82] :
( ~ ! [X83] :
( ! [X84] :
( p2(X84)
| ~ r1(X83,X84) )
| ~ p2(X83)
| ~ r1(X82,X83) )
| ~ r1(X81,X82)
| p2(X82) )
| ~ r1(X0,X81)
| p2(X81) )
& ( ~ ! [X85] :
( p1(X85)
| ! [X86] :
( $false
| ~ r1(X85,X86) )
| ~ ! [X87] :
( ! [X88] :
( ! [X89] :
( $false
| ~ r1(X88,X89) )
| ~ r1(X87,X88)
| p1(X88) )
| ~ r1(X85,X87)
| ~ ( p1(X87)
| ! [X90] :
( $false
| ~ r1(X87,X90) ) ) )
| ~ r1(X0,X85) )
| p1(X0)
| ! [X91] :
( $false
| ~ r1(X0,X91) ) )
& ( ~ ! [X92] :
( p2(X92)
| p1(X92)
| ~ r1(X0,X92)
| ~ ! [X93] :
( ~ r1(X92,X93)
| ! [X94] :
( p2(X94)
| ~ r1(X93,X94)
| p1(X94)
| ! [X95] :
( ~ r1(X94,X95)
| $false ) )
| ~ ( p2(X93)
| ! [X96] :
( $false
| ~ r1(X93,X96) )
| p1(X93) ) )
| ! [X97] :
( $false
| ~ r1(X92,X97) ) )
| p2(X0)
| ! [X98] :
( ~ r1(X0,X98)
| $false )
| p1(X0) )
& ( p3(X0)
| ! [X99] :
( ~ r1(X0,X99)
| $false )
| p1(X0)
| p2(X0)
| ~ ! [X100] :
( ~ ! [X101] :
( ~ r1(X100,X101)
| ! [X102] :
( ! [X103] :
( ~ r1(X102,X103)
| $false )
| p2(X102)
| p1(X102)
| p3(X102)
| ~ r1(X101,X102) )
| ~ ( p1(X101)
| p3(X101)
| p2(X101)
| ! [X104] :
( ~ r1(X101,X104)
| $false ) ) )
| ! [X105] :
( ~ r1(X100,X105)
| $false )
| p3(X100)
| p2(X100)
| p1(X100)
| ~ r1(X0,X100) ) )
& ( ~ ! [X106] :
( ~ ! [X107] :
( ! [X108] :
( ~ r1(X107,X108)
| ! [X109] :
( p3(X109)
| ~ r1(X108,X109)
| p2(X109)
| ! [X110] :
( ~ r1(X109,X110)
| $false )
| p1(X109)
| p4(X109) )
| p2(X108)
| p1(X108)
| p3(X108) )
| ~ ( p1(X107)
| ! [X111] :
( p2(X111)
| ~ r1(X107,X111)
| p1(X111)
| ! [X112] :
( $false
| ~ r1(X111,X112) )
| p4(X111)
| p3(X111) )
| p2(X107)
| p3(X107) )
| ~ r1(X106,X107) )
| p2(X106)
| ~ r1(X0,X106)
| p1(X106)
| p3(X106)
| ! [X113] :
( ! [X114] :
( $false
| ~ r1(X113,X114) )
| p1(X113)
| p4(X113)
| ~ r1(X106,X113)
| p2(X113)
| p3(X113) ) )
| ! [X115] :
( p1(X115)
| p4(X115)
| p2(X115)
| p3(X115)
| ~ r1(X0,X115)
| ! [X116] :
( ~ r1(X115,X116)
| $false ) )
| p3(X0)
| p1(X0)
| p2(X0) )
& ( ~ ! [X117] :
( ~ ! [X118] :
( ! [X119] :
( p2(X119)
| p1(X119)
| ~ r1(X118,X119)
| ! [X120] :
( p3(X120)
| p2(X120)
| ~ r1(X119,X120)
| p1(X120)
| p4(X120)
| ! [X121] :
( $false
| ~ r1(X120,X121) ) ) )
| ~ r1(X117,X118)
| ~ ( p2(X118)
| p1(X118)
| ! [X122] :
( p4(X122)
| p3(X122)
| p1(X122)
| ~ r1(X118,X122)
| ! [X123] :
( $false
| ~ r1(X122,X123) )
| p2(X122) ) ) )
| ! [X124] :
( ! [X125] :
( $false
| ~ r1(X124,X125) )
| p4(X124)
| p1(X124)
| p3(X124)
| p2(X124)
| ~ r1(X117,X124) )
| ~ r1(X0,X117)
| p2(X117)
| p1(X117) )
| p1(X0)
| p2(X0)
| ! [X126] :
( p3(X126)
| p4(X126)
| p1(X126)
| ~ r1(X0,X126)
| p2(X126)
| ! [X127] :
( $false
| ~ r1(X126,X127) ) ) )
& ( p2(X0)
| p3(X0)
| p1(X0)
| ! [X128] :
( p2(X128)
| p3(X128)
| p4(X128)
| ~ r1(X0,X128)
| ! [X129] :
( ~ r1(X128,X129)
| $false )
| p1(X128) )
| p4(X0)
| ~ ! [X130] :
( p3(X130)
| p2(X130)
| p4(X130)
| p1(X130)
| ~ r1(X0,X130)
| ! [X131] :
( ! [X132] :
( $false
| ~ r1(X131,X132) )
| ~ r1(X130,X131)
| p3(X131)
| p1(X131)
| p2(X131)
| p4(X131) )
| ~ ! [X133] :
( ~ r1(X130,X133)
| ~ ( p2(X133)
| p1(X133)
| ! [X134] :
( p2(X134)
| p1(X134)
| ! [X135] :
( ~ r1(X134,X135)
| $false )
| p4(X134)
| p3(X134)
| ~ r1(X133,X134) )
| p4(X133)
| p3(X133) )
| ! [X136] :
( ~ r1(X133,X136)
| p1(X136)
| p3(X136)
| p4(X136)
| ! [X137] :
( ~ r1(X136,X137)
| p4(X137)
| p2(X137)
| ! [X138] :
( $false
| ~ r1(X137,X138) )
| p1(X137)
| p3(X137) )
| p2(X136) ) ) ) )
& ( ! [X139] :
( ! [X140] :
( $false
| ~ r1(X139,X140) )
| p3(X139)
| ~ r1(X0,X139)
| p1(X139)
| p2(X139)
| p4(X139) )
| p1(X0)
| ~ ! [X141] :
( ~ r1(X0,X141)
| p1(X141)
| ! [X142] :
( p4(X142)
| p2(X142)
| ! [X143] :
( ~ r1(X142,X143)
| $false )
| p1(X142)
| ~ r1(X141,X142)
| p3(X142) )
| ~ ! [X144] :
( ~ r1(X141,X144)
| ~ ( ! [X145] :
( p4(X145)
| p3(X145)
| ! [X146] :
( ~ r1(X145,X146)
| $false )
| p2(X145)
| ~ r1(X144,X145)
| p1(X145) )
| p1(X144) )
| ! [X147] :
( p1(X147)
| ! [X148] :
( ~ r1(X147,X148)
| p3(X148)
| ! [X149] :
( ~ r1(X148,X149)
| $false )
| p1(X148)
| p2(X148)
| p4(X148) )
| ~ r1(X144,X147) ) ) ) ) ) ),
inference(rectify,[],[f3]) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ( ( ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) ) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p5(X1) ) )
| ( ( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) ) )
| p2(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p5(X0) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ ! [X1] :
( p3(X1)
| ~ ! [X0] :
( ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| ~ p3(X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ p1(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ ( ( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| p2(X0)
| p4(X0)
| ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| p3(X1)
| ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p4(X0)
| p1(X0)
| p2(X0)
| p3(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p3(X1)
| p2(X1)
| p4(X1)
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p4(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1) )
| p3(X0) )
& ( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| $false )
| p1(X1)
| p4(X1)
| p2(X1)
| ~ r1(X0,X1)
| p3(X1) )
| p3(X0)
| p1(X0)
| p2(X0) )
| p1(X1) )
| ~ ( ! [X1] :
( p1(X1)
| p2(X1)
| p3(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p3(X0)
| p1(X0)
| p4(X0) )
| ~ r1(X0,X1)
| p4(X1) )
| p1(X0) )
| ~ r1(X1,X0) )
| ! [X0] :
( p3(X0)
| p4(X0)
| p1(X0)
| p2(X0)
| ~ r1(X1,X0)
| ! [X1] :
( p3(X1)
| p4(X1)
| p2(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| p1(X1)
| ~ r1(X0,X1) ) ) )
| p1(X0)
| ! [X1] :
( p4(X1)
| ~ r1(X0,X1)
| p1(X1)
| p3(X1)
| p2(X1)
| ! [X0] :
( p3(X0)
| p2(X0)
| p4(X0)
| ~ r1(X1,X0)
| p1(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) ) ) ) )
& ( ( ( ~ ! [X1] :
( ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ p2(X1)
| ~ r1(X0,X1) )
| p2(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| p2(X0) ) )
| ~ ! [X1] :
( p2(X1)
| ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ r1(X1,X0)
| ~ p2(X0) )
| ~ r1(X0,X1) ) ) )
| ~ ! [X1] :
( ( ( p2(X1)
| ~ ! [X0] :
( ~ p2(X0)
| ~ r1(X1,X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) ) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| p2(X0) )
| ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) ) )
| p2(X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1)
| ~ ! [X0] :
( ! [X1] :
( ( ( ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ p2(X0)
| ~ r1(X1,X0) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( p2(X0)
| ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) ) )
| ~ r1(X1,X0) ) )
& ( p2(X1)
| ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ r1(X1,X0)
| ~ p2(X0) ) ) )
| ~ r1(X0,X1) )
| ~ ( ( ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1)
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ p2(X0) ) )
| ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ p2(X1) ) )
| ~ r1(X0,X1) ) ) )
| ~ r1(X1,X0) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) ) )
| p2(X0) )
| p2(X1) )
& ( ~ ! [X1] :
( p1(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| p1(X1) )
| ~ r1(X1,X0)
| ~ ( p1(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) ) ) )
| ~ r1(X0,X1) )
| p1(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) ) )
& ( ~ ! [X1] :
( p2(X1)
| p1(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ( p2(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0) ) )
| ! [X0] :
( $false
| ~ r1(X1,X0) ) )
| p2(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| p1(X0) )
& ( p3(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| p1(X0)
| p2(X0)
| ~ ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| $false )
| p2(X1)
| p1(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ~ ( p1(X0)
| p3(X0)
| p2(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) )
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| p3(X1)
| p2(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( p3(X0)
| ~ r1(X1,X0)
| p2(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| p1(X0)
| p4(X0) )
| p2(X1)
| p1(X1)
| p3(X1) )
| ~ ( p1(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p4(X1)
| p3(X1) )
| p2(X0)
| p3(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1)
| p1(X1)
| p3(X1)
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p4(X0)
| ~ r1(X1,X0)
| p2(X0)
| p3(X0) ) )
| ! [X1] :
( p1(X1)
| p4(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| p3(X0)
| p1(X0)
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ! [X1] :
( p2(X1)
| p1(X1)
| ~ r1(X0,X1)
| ! [X0] :
( p3(X0)
| p2(X0)
| ~ r1(X1,X0)
| p1(X0)
| p4(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) ) ) )
| ~ r1(X1,X0)
| ~ ( p2(X0)
| p1(X0)
| ! [X1] :
( p4(X1)
| p3(X1)
| p1(X1)
| ~ r1(X0,X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p2(X1) ) ) )
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p4(X0)
| p1(X0)
| p3(X0)
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| p2(X1)
| p1(X1) )
| p1(X0)
| p2(X0)
| ! [X1] :
( p3(X1)
| p4(X1)
| p1(X1)
| ~ r1(X0,X1)
| p2(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) ) ) )
& ( p2(X0)
| p3(X0)
| p1(X0)
| ! [X1] :
( p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| p1(X1) )
| p4(X0)
| ~ ! [X1] :
( p3(X1)
| p2(X1)
| p4(X1)
| p1(X1)
| ~ r1(X0,X1)
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| p3(X0)
| p1(X0)
| p2(X0)
| p4(X0) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p2(X0)
| p1(X0)
| ! [X1] :
( p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| p4(X1)
| p3(X1)
| ~ r1(X0,X1) )
| p4(X0)
| p3(X0) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| p3(X1)
| p4(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| p2(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p3(X0) )
| p2(X1) ) ) ) )
& ( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p3(X1)
| ~ r1(X0,X1)
| p1(X1)
| p2(X1)
| p4(X1) )
| p1(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( p4(X0)
| p2(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| p1(X0)
| ~ r1(X1,X0)
| p3(X0) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ! [X1] :
( p4(X1)
| p3(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| p2(X1)
| ~ r1(X0,X1)
| p1(X1) )
| p1(X0) )
| ! [X1] :
( p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p3(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| p1(X0)
| p2(X0)
| p4(X0) )
| ~ r1(X0,X1) ) ) ) ) ) ),
inference(negated_conjecture,[],[f2]) ).
fof(f2,conjecture,
~ ? [X0] :
~ ( ( ( ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) ) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p5(X1) ) )
| ( ( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) ) )
| p2(X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p5(X0) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ ! [X1] :
( p3(X1)
| ~ ! [X0] :
( ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| ~ p3(X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ p1(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ ( ( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| p2(X0)
| p4(X0)
| ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| p3(X1)
| ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p4(X0)
| p1(X0)
| p2(X0)
| p3(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p3(X1)
| p2(X1)
| p4(X1)
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p4(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1) )
| p3(X0) )
& ( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| $false )
| p1(X1)
| p4(X1)
| p2(X1)
| ~ r1(X0,X1)
| p3(X1) )
| p3(X0)
| p1(X0)
| p2(X0) )
| p1(X1) )
| ~ ( ! [X1] :
( p1(X1)
| p2(X1)
| p3(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p3(X0)
| p1(X0)
| p4(X0) )
| ~ r1(X0,X1)
| p4(X1) )
| p1(X0) )
| ~ r1(X1,X0) )
| ! [X0] :
( p3(X0)
| p4(X0)
| p1(X0)
| p2(X0)
| ~ r1(X1,X0)
| ! [X1] :
( p3(X1)
| p4(X1)
| p2(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| p1(X1)
| ~ r1(X0,X1) ) ) )
| p1(X0)
| ! [X1] :
( p4(X1)
| ~ r1(X0,X1)
| p1(X1)
| p3(X1)
| p2(X1)
| ! [X0] :
( p3(X0)
| p2(X0)
| p4(X0)
| ~ r1(X1,X0)
| p1(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) ) ) ) )
& ( ( ( ~ ! [X1] :
( ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ p2(X1)
| ~ r1(X0,X1) )
| p2(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| p2(X0) ) )
| ~ ! [X1] :
( p2(X1)
| ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ r1(X1,X0)
| ~ p2(X0) )
| ~ r1(X0,X1) ) ) )
| ~ ! [X1] :
( ( ( p2(X1)
| ~ ! [X0] :
( ~ p2(X0)
| ~ r1(X1,X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) ) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| p2(X0) )
| ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) ) )
| p2(X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1)
| ~ ! [X0] :
( ! [X1] :
( ( ( ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ p2(X0)
| ~ r1(X1,X0) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( p2(X0)
| ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) ) )
| ~ r1(X1,X0) ) )
& ( p2(X1)
| ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ r1(X1,X0)
| ~ p2(X0) ) ) )
| ~ r1(X0,X1) )
| ~ ( ( ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1)
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ p2(X0) ) )
| ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ p2(X1) ) )
| ~ r1(X0,X1) ) ) )
| ~ r1(X1,X0) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) ) )
| p2(X0) )
| p2(X1) )
& ( ~ ! [X1] :
( p1(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| p1(X1) )
| ~ r1(X1,X0)
| ~ ( p1(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) ) ) )
| ~ r1(X0,X1) )
| p1(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) ) )
& ( ~ ! [X1] :
( p2(X1)
| p1(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ( p2(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0) ) )
| ! [X0] :
( $false
| ~ r1(X1,X0) ) )
| p2(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| p1(X0) )
& ( p3(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| p1(X0)
| p2(X0)
| ~ ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| $false )
| p2(X1)
| p1(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ~ ( p1(X0)
| p3(X0)
| p2(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) )
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| p3(X1)
| p2(X1)
| p1(X1)
| ~ r1(X0,X1) ) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( p3(X0)
| ~ r1(X1,X0)
| p2(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| p1(X0)
| p4(X0) )
| p2(X1)
| p1(X1)
| p3(X1) )
| ~ ( p1(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p4(X1)
| p3(X1) )
| p2(X0)
| p3(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1)
| p1(X1)
| p3(X1)
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p4(X0)
| ~ r1(X1,X0)
| p2(X0)
| p3(X0) ) )
| ! [X1] :
( p1(X1)
| p4(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| p3(X0)
| p1(X0)
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ! [X1] :
( p2(X1)
| p1(X1)
| ~ r1(X0,X1)
| ! [X0] :
( p3(X0)
| p2(X0)
| ~ r1(X1,X0)
| p1(X0)
| p4(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) ) ) )
| ~ r1(X1,X0)
| ~ ( p2(X0)
| p1(X0)
| ! [X1] :
( p4(X1)
| p3(X1)
| p1(X1)
| ~ r1(X0,X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p2(X1) ) ) )
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p4(X0)
| p1(X0)
| p3(X0)
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| p2(X1)
| p1(X1) )
| p1(X0)
| p2(X0)
| ! [X1] :
( p3(X1)
| p4(X1)
| p1(X1)
| ~ r1(X0,X1)
| p2(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) ) ) )
& ( p2(X0)
| p3(X0)
| p1(X0)
| ! [X1] :
( p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| p1(X1) )
| p4(X0)
| ~ ! [X1] :
( p3(X1)
| p2(X1)
| p4(X1)
| p1(X1)
| ~ r1(X0,X1)
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| p3(X0)
| p1(X0)
| p2(X0)
| p4(X0) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p2(X0)
| p1(X0)
| ! [X1] :
( p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| p4(X1)
| p3(X1)
| ~ r1(X0,X1) )
| p4(X0)
| p3(X0) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| p3(X1)
| p4(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| p2(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p3(X0) )
| p2(X1) ) ) ) )
& ( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p3(X1)
| ~ r1(X0,X1)
| p1(X1)
| p2(X1)
| p4(X1) )
| p1(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( p4(X0)
| p2(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| p1(X0)
| ~ r1(X1,X0)
| p3(X0) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ! [X1] :
( p4(X1)
| p3(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| p2(X1)
| ~ r1(X0,X1)
| p1(X1) )
| p1(X0) )
| ! [X1] :
( p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p3(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| p1(X0)
| p2(X0)
| p4(X0) )
| ~ r1(X0,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f4003,plain,
( p2(sK95(sK58(sK68)))
| ~ spl96_506 ),
inference(avatar_component_clause,[],[f4001]) ).
fof(f4029,plain,
( spl96_511
| spl96_512
| ~ spl96_505 ),
inference(avatar_split_clause,[],[f4022,f3997,f4027,f4024]) ).
fof(f3997,plain,
( spl96_505
<=> p2(sK43(sK95(sK58(sK68)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_505])]) ).
fof(f4022,plain,
( ! [X0,X1] :
( ~ r1(sK68,X1)
| p2(X0)
| ~ r1(sK43(sK95(sK58(sK68))),X0)
| p2(X1)
| ~ r1(sK95(X1),sK43(sK95(sK58(sK68)))) )
| ~ spl96_505 ),
inference(resolution,[],[f3999,f313]) ).
fof(f313,plain,
! [X58,X60,X61] :
( ~ p2(X60)
| p2(X61)
| p2(X58)
| ~ r1(X60,X61)
| ~ r1(sK68,X58)
| ~ r1(sK95(X58),X60) ),
inference(cnf_transformation,[],[f174]) ).
fof(f3999,plain,
( p2(sK43(sK95(sK58(sK68))))
| ~ spl96_505 ),
inference(avatar_component_clause,[],[f3997]) ).
fof(f4004,plain,
( spl96_505
| spl96_506
| ~ spl96_116
| ~ spl96_147
| ~ spl96_498 ),
inference(avatar_split_clause,[],[f3994,f3827,f1176,f975,f4001,f3997]) ).
fof(f3994,plain,
( p2(sK95(sK58(sK68)))
| p2(sK43(sK95(sK58(sK68))))
| ~ spl96_116
| ~ spl96_147
| ~ spl96_498 ),
inference(resolution,[],[f3891,f977]) ).
fof(f3891,plain,
( ! [X0] :
( ~ r1(sK58(sK68),X0)
| p2(sK43(X0))
| p2(X0) )
| ~ spl96_147
| ~ spl96_498 ),
inference(resolution,[],[f3806,f3828]) ).
fof(f3806,plain,
( ! [X6,X7] :
( ~ r1(sK68,X7)
| p2(X6)
| p2(sK43(X6))
| ~ r1(X7,X6) )
| ~ spl96_147 ),
inference(resolution,[],[f1178,f226]) ).
fof(f226,plain,
! [X2,X0,X1] :
( ~ sP14(X0)
| p2(sK43(X2))
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| p2(X2) ),
inference(cnf_transformation,[],[f80]) ).
fof(f3838,plain,
( spl96_498
| ~ spl96_66 ),
inference(avatar_split_clause,[],[f3835,f695,f3827]) ).
fof(f3835,plain,
( r1(sK68,sK58(sK68))
| ~ spl96_66 ),
inference(resolution,[],[f697,f276]) ).
fof(f276,plain,
! [X0] :
( ~ sP5(X0)
| r1(X0,sK58(X0)) ),
inference(cnf_transformation,[],[f120]) ).
fof(f3824,plain,
( ~ spl96_27
| spl96_54
| ~ spl96_210 ),
inference(avatar_split_clause,[],[f3823,f1555,f637,f505]) ).
fof(f1555,plain,
( spl96_210
<=> p2(sK95(sK71)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_210])]) ).
fof(f3823,plain,
( ~ r1(sK68,sK71)
| spl96_54
| ~ spl96_210 ),
inference(subsumption_resolution,[],[f3811,f639]) ).
fof(f3811,plain,
( p2(sK71)
| ~ r1(sK68,sK71)
| ~ spl96_210 ),
inference(resolution,[],[f1557,f315]) ).
fof(f1557,plain,
( p2(sK95(sK71))
| ~ spl96_210 ),
inference(avatar_component_clause,[],[f1555]) ).
fof(f3801,plain,
( ~ spl96_223
| spl96_484
| ~ spl96_212
| ~ spl96_222 ),
inference(avatar_split_clause,[],[f3744,f1623,f1564,f3729,f1628]) ).
fof(f1628,plain,
( spl96_223
<=> p2(sK69(sK29(sK68))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_223])]) ).
fof(f3729,plain,
( spl96_484
<=> ! [X0] :
( ~ r1(sK69(sK29(sK68)),X0)
| p2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_484])]) ).
fof(f1623,plain,
( spl96_222
<=> r1(sK29(sK68),sK69(sK29(sK68))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_222])]) ).
fof(f3744,plain,
( ! [X0] :
( ~ r1(sK69(sK29(sK68)),X0)
| p2(X0)
| ~ p2(sK69(sK29(sK68))) )
| ~ spl96_212
| ~ spl96_222 ),
inference(resolution,[],[f1625,f1565]) ).
fof(f1625,plain,
( r1(sK29(sK68),sK69(sK29(sK68)))
| ~ spl96_222 ),
inference(avatar_component_clause,[],[f1623]) ).
fof(f3791,plain,
( ~ spl96_6
| ~ spl96_148
| ~ spl96_213
| spl96_214
| ~ spl96_484 ),
inference(avatar_contradiction_clause,[],[f3790]) ).
fof(f3790,plain,
( $false
| ~ spl96_6
| ~ spl96_148
| ~ spl96_213
| spl96_214
| ~ spl96_484 ),
inference(subsumption_resolution,[],[f3789,f1182]) ).
fof(f3789,plain,
( ~ r1(sK68,sK29(sK68))
| ~ spl96_6
| ~ spl96_213
| spl96_214
| ~ spl96_484 ),
inference(subsumption_resolution,[],[f3787,f1586]) ).
fof(f3787,plain,
( p2(sK29(sK68))
| ~ r1(sK68,sK29(sK68))
| ~ spl96_6
| ~ spl96_213
| ~ spl96_484 ),
inference(resolution,[],[f3785,f414]) ).
fof(f414,plain,
( ! [X1] :
( ~ p2(sK70(X1))
| ~ r1(sK68,X1)
| p2(X1) )
| ~ spl96_6 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f413,plain,
( spl96_6
<=> ! [X1] :
( ~ p2(sK70(X1))
| ~ r1(sK68,X1)
| p2(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_6])]) ).
fof(f3785,plain,
( p2(sK70(sK29(sK68)))
| ~ spl96_213
| ~ spl96_484 ),
inference(resolution,[],[f3730,f1583]) ).
fof(f1583,plain,
( r1(sK69(sK29(sK68)),sK70(sK29(sK68)))
| ~ spl96_213 ),
inference(avatar_component_clause,[],[f1581]) ).
fof(f1581,plain,
( spl96_213
<=> r1(sK69(sK29(sK68)),sK70(sK29(sK68))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_213])]) ).
fof(f3730,plain,
( ! [X0] :
( ~ r1(sK69(sK29(sK68)),X0)
| p2(X0) )
| ~ spl96_484 ),
inference(avatar_component_clause,[],[f3729]) ).
fof(f3725,plain,
( spl96_222
| spl96_214
| ~ spl96_59
| ~ spl96_148 ),
inference(avatar_split_clause,[],[f3715,f1180,f662,f1585,f1623]) ).
fof(f662,plain,
( spl96_59
<=> ! [X1] :
( ~ r1(sK68,X1)
| r1(X1,sK69(X1))
| p2(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_59])]) ).
fof(f3715,plain,
( p2(sK29(sK68))
| r1(sK29(sK68),sK69(sK29(sK68)))
| ~ spl96_59
| ~ spl96_148 ),
inference(resolution,[],[f1182,f663]) ).
fof(f663,plain,
( ! [X1] :
( ~ r1(sK68,X1)
| r1(X1,sK69(X1))
| p2(X1) )
| ~ spl96_59 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f3724,plain,
( spl96_214
| spl96_223
| ~ spl96_11
| ~ spl96_148 ),
inference(avatar_split_clause,[],[f3714,f1180,f433,f1628,f1585]) ).
fof(f433,plain,
( spl96_11
<=> ! [X1] :
( p2(sK69(X1))
| p2(X1)
| ~ r1(sK68,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_11])]) ).
fof(f3714,plain,
( p2(sK69(sK29(sK68)))
| p2(sK29(sK68))
| ~ spl96_11
| ~ spl96_148 ),
inference(resolution,[],[f1182,f434]) ).
fof(f434,plain,
( ! [X1] :
( ~ r1(sK68,X1)
| p2(X1)
| p2(sK69(X1)) )
| ~ spl96_11 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f3723,plain,
( ~ spl96_13
| spl96_147
| ~ spl96_214 ),
inference(avatar_contradiction_clause,[],[f3722]) ).
fof(f3722,plain,
( $false
| ~ spl96_13
| spl96_147
| ~ spl96_214 ),
inference(subsumption_resolution,[],[f3721,f443]) ).
fof(f443,plain,
( sP19(sK68)
| ~ spl96_13 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f441,plain,
( spl96_13
<=> sP19(sK68) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_13])]) ).
fof(f3721,plain,
( ~ sP19(sK68)
| spl96_147
| ~ spl96_214 ),
inference(subsumption_resolution,[],[f3719,f1177]) ).
fof(f1177,plain,
( ~ sP14(sK68)
| spl96_147 ),
inference(avatar_component_clause,[],[f1176]) ).
fof(f3719,plain,
( sP14(sK68)
| ~ sP19(sK68)
| ~ spl96_214 ),
inference(resolution,[],[f1587,f193]) ).
fof(f193,plain,
! [X0] :
( ~ p2(sK29(X0))
| ~ sP19(X0)
| sP14(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ( ( ( r1(sK27(X0),sK28(X0))
& ~ p2(sK28(X0))
& p2(sK27(X0))
& r1(X0,sK27(X0)) )
| p2(X0) )
& ( ( ~ p2(sK29(X0))
& ! [X4] :
( ~ p2(X4)
| ! [X5] :
( ~ r1(X4,X5)
| p2(X5) )
| ~ r1(sK29(X0),X4) )
& r1(X0,sK29(X0)) )
| sP14(X0) ) )
| ~ sP19(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27,sK28,sK29])],[f46,f49,f48,f47]) ).
fof(f47,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r1(X1,X2)
& ~ p2(X2) )
& p2(X1)
& r1(X0,X1) )
=> ( ? [X2] :
( r1(sK27(X0),X2)
& ~ p2(X2) )
& p2(sK27(X0))
& r1(X0,sK27(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0] :
( ? [X2] :
( r1(sK27(X0),X2)
& ~ p2(X2) )
=> ( r1(sK27(X0),sK28(X0))
& ~ p2(sK28(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0] :
( ? [X3] :
( ~ p2(X3)
& ! [X4] :
( ~ p2(X4)
| ! [X5] :
( ~ r1(X4,X5)
| p2(X5) )
| ~ r1(X3,X4) )
& r1(X0,X3) )
=> ( ~ p2(sK29(X0))
& ! [X4] :
( ~ p2(X4)
| ! [X5] :
( ~ r1(X4,X5)
| p2(X5) )
| ~ r1(sK29(X0),X4) )
& r1(X0,sK29(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
! [X0] :
( ( ( ? [X1] :
( ? [X2] :
( r1(X1,X2)
& ~ p2(X2) )
& p2(X1)
& r1(X0,X1) )
| p2(X0) )
& ( ? [X3] :
( ~ p2(X3)
& ! [X4] :
( ~ p2(X4)
| ! [X5] :
( ~ r1(X4,X5)
| p2(X5) )
| ~ r1(X3,X4) )
& r1(X0,X3) )
| sP14(X0) ) )
| ~ sP19(X0) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ( ( ? [X42] :
( ? [X43] :
( r1(X42,X43)
& ~ p2(X43) )
& p2(X42)
& r1(X0,X42) )
| p2(X0) )
& ( ? [X48] :
( ~ p2(X48)
& ! [X49] :
( ~ p2(X49)
| ! [X50] :
( ~ r1(X49,X50)
| p2(X50) )
| ~ r1(X48,X49) )
& r1(X0,X48) )
| sP14(X0) ) )
| ~ sP19(X0) ),
inference(nnf_transformation,[],[f28]) ).
fof(f1587,plain,
( p2(sK29(sK68))
| ~ spl96_214 ),
inference(avatar_component_clause,[],[f1585]) ).
fof(f3702,plain,
( ~ spl96_27
| spl96_54
| ~ spl96_147
| ~ spl96_449 ),
inference(avatar_contradiction_clause,[],[f3701]) ).
fof(f3701,plain,
( $false
| ~ spl96_27
| spl96_54
| ~ spl96_147
| ~ spl96_449 ),
inference(subsumption_resolution,[],[f3700,f507]) ).
fof(f3700,plain,
( ~ r1(sK68,sK71)
| ~ spl96_27
| spl96_54
| ~ spl96_147
| ~ spl96_449 ),
inference(resolution,[],[f3697,f1303]) ).
fof(f1303,plain,
( r1(sK71,sK95(sK71))
| ~ spl96_27
| spl96_54 ),
inference(subsumption_resolution,[],[f1295,f639]) ).
fof(f1295,plain,
( p2(sK71)
| r1(sK71,sK95(sK71))
| ~ spl96_27 ),
inference(resolution,[],[f507,f314]) ).
fof(f314,plain,
! [X58] :
( ~ r1(sK68,X58)
| p2(X58)
| r1(X58,sK95(X58)) ),
inference(cnf_transformation,[],[f174]) ).
fof(f3697,plain,
( ! [X0] :
( ~ r1(X0,sK95(sK71))
| ~ r1(sK68,X0) )
| ~ spl96_147
| ~ spl96_449 ),
inference(resolution,[],[f3435,f1178]) ).
fof(f3435,plain,
( ! [X0,X1] :
( ~ sP14(X0)
| ~ r1(X1,sK95(sK71))
| ~ r1(X0,X1) )
| ~ spl96_449 ),
inference(avatar_component_clause,[],[f3434]) ).
fof(f3434,plain,
( spl96_449
<=> ! [X0,X1] :
( ~ r1(X0,X1)
| ~ sP14(X0)
| ~ r1(X1,sK95(sK71)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_449])]) ).
fof(f3436,plain,
( spl96_210
| spl96_449
| ~ spl96_228
| ~ spl96_445 ),
inference(avatar_split_clause,[],[f3431,f3403,f1655,f3434,f1555]) ).
fof(f1655,plain,
( spl96_228
<=> ! [X0] :
( ~ r1(sK43(sK95(sK71)),X0)
| p2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_228])]) ).
fof(f3403,plain,
( spl96_445
<=> r1(sK43(sK95(sK71)),sK44(sK95(sK71))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_445])]) ).
fof(f3431,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| ~ r1(X1,sK95(sK71))
| ~ sP14(X0)
| p2(sK95(sK71)) )
| ~ spl96_228
| ~ spl96_445 ),
inference(resolution,[],[f3429,f228]) ).
fof(f3429,plain,
( p2(sK44(sK95(sK71)))
| ~ spl96_228
| ~ spl96_445 ),
inference(resolution,[],[f3405,f1656]) ).
fof(f1656,plain,
( ! [X0] :
( ~ r1(sK43(sK95(sK71)),X0)
| p2(X0) )
| ~ spl96_228 ),
inference(avatar_component_clause,[],[f1655]) ).
fof(f3405,plain,
( r1(sK43(sK95(sK71)),sK44(sK95(sK71)))
| ~ spl96_445 ),
inference(avatar_component_clause,[],[f3403]) ).
fof(f3406,plain,
( spl96_445
| spl96_210
| ~ spl96_27
| spl96_54
| ~ spl96_147 ),
inference(avatar_split_clause,[],[f3400,f1176,f637,f505,f1555,f3403]) ).
fof(f3400,plain,
( p2(sK95(sK71))
| r1(sK43(sK95(sK71)),sK44(sK95(sK71)))
| ~ spl96_27
| spl96_54
| ~ spl96_147 ),
inference(resolution,[],[f3303,f1303]) ).
fof(f3303,plain,
( ! [X0] :
( ~ r1(sK71,X0)
| p2(X0)
| r1(sK43(X0),sK44(X0)) )
| ~ spl96_27
| ~ spl96_147 ),
inference(resolution,[],[f3253,f507]) ).
fof(f3253,plain,
( ! [X0,X1] :
( ~ r1(sK68,X1)
| r1(sK43(X0),sK44(X0))
| ~ r1(X1,X0)
| p2(X0) )
| ~ spl96_147 ),
inference(resolution,[],[f1178,f227]) ).
fof(f3248,plain,
( spl96_330
| ~ spl96_12
| ~ spl96_439
| ~ spl96_440 ),
inference(avatar_split_clause,[],[f3247,f3228,f3223,f437,f2465]) ).
fof(f2465,plain,
( spl96_330
<=> ! [X0] :
( p2(X0)
| ~ r1(sK31(sK42(sK74)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_330])]) ).
fof(f3223,plain,
( spl96_439
<=> p2(sK31(sK42(sK74))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_439])]) ).
fof(f3228,plain,
( spl96_440
<=> r1(sK42(sK74),sK31(sK42(sK74))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_440])]) ).
fof(f3247,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK31(sK42(sK74)),X0) )
| ~ spl96_12
| ~ spl96_439
| ~ spl96_440 ),
inference(subsumption_resolution,[],[f3246,f3225]) ).
fof(f3225,plain,
( p2(sK31(sK42(sK74)))
| ~ spl96_439 ),
inference(avatar_component_clause,[],[f3223]) ).
fof(f3246,plain,
( ! [X0] :
( p2(X0)
| ~ p2(sK31(sK42(sK74)))
| ~ r1(sK31(sK42(sK74)),X0) )
| ~ spl96_12
| ~ spl96_440 ),
inference(resolution,[],[f3230,f1903]) ).
fof(f3230,plain,
( r1(sK42(sK74),sK31(sK42(sK74)))
| ~ spl96_440 ),
inference(avatar_component_clause,[],[f3228]) ).
fof(f3231,plain,
( spl96_440
| spl96_267
| ~ spl96_12
| ~ spl96_161 ),
inference(avatar_split_clause,[],[f3150,f1260,f437,f2001,f3228]) ).
fof(f1260,plain,
( spl96_161
<=> sP18(sK41(sK74)) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_161])]) ).
fof(f3150,plain,
( p2(sK42(sK74))
| r1(sK42(sK74),sK31(sK42(sK74)))
| ~ spl96_12
| ~ spl96_161 ),
inference(subsumption_resolution,[],[f3147,f439]) ).
fof(f3147,plain,
( ~ sP15(sK74)
| p2(sK42(sK74))
| r1(sK42(sK74),sK31(sK42(sK74)))
| ~ spl96_161 ),
inference(resolution,[],[f3132,f218]) ).
fof(f3132,plain,
( ! [X5] :
( ~ r1(sK41(sK74),X5)
| r1(X5,sK31(X5))
| p2(X5) )
| ~ spl96_161 ),
inference(resolution,[],[f1262,f201]) ).
fof(f201,plain,
! [X0,X1] :
( ~ sP18(X0)
| r1(X1,sK31(X1))
| p2(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ! [X1] :
( ( ( ( ~ p2(sK30(X1))
& r1(X1,sK30(X1))
& ! [X3] :
( ~ p2(X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ r1(sK30(X1),X3) ) )
| sP16(X1) )
& ( ( r1(X1,sK31(X1))
& r1(sK31(X1),sK32(X1))
& ~ p2(sK32(X1))
& p2(sK31(X1)) )
| p2(X1) ) )
| ~ r1(X0,X1) )
| ~ sP18(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30,sK31,sK32])],[f52,f55,f54,f53]) ).
fof(f53,plain,
! [X1] :
( ? [X2] :
( ~ p2(X2)
& r1(X1,X2)
& ! [X3] :
( ~ p2(X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ r1(X2,X3) ) )
=> ( ~ p2(sK30(X1))
& r1(X1,sK30(X1))
& ! [X3] :
( ~ p2(X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ r1(sK30(X1),X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X1] :
( ? [X5] :
( r1(X1,X5)
& ? [X6] :
( r1(X5,X6)
& ~ p2(X6) )
& p2(X5) )
=> ( r1(X1,sK31(X1))
& ? [X6] :
( r1(sK31(X1),X6)
& ~ p2(X6) )
& p2(sK31(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X1] :
( ? [X6] :
( r1(sK31(X1),X6)
& ~ p2(X6) )
=> ( r1(sK31(X1),sK32(X1))
& ~ p2(sK32(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X0] :
( ! [X1] :
( ( ( ? [X2] :
( ~ p2(X2)
& r1(X1,X2)
& ! [X3] :
( ~ p2(X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) )
| ~ r1(X2,X3) ) )
| sP16(X1) )
& ( ? [X5] :
( r1(X1,X5)
& ? [X6] :
( r1(X5,X6)
& ~ p2(X6) )
& p2(X5) )
| p2(X1) ) )
| ~ r1(X0,X1) )
| ~ sP18(X0) ),
inference(rectify,[],[f51]) ).
fof(f51,plain,
! [X61] :
( ! [X62] :
( ( ( ? [X67] :
( ~ p2(X67)
& r1(X62,X67)
& ! [X68] :
( ~ p2(X68)
| ! [X69] :
( ~ r1(X68,X69)
| p2(X69) )
| ~ r1(X67,X68) ) )
| sP16(X62) )
& ( ? [X70] :
( r1(X62,X70)
& ? [X71] :
( r1(X70,X71)
& ~ p2(X71) )
& p2(X70) )
| p2(X62) ) )
| ~ r1(X61,X62) )
| ~ sP18(X61) ),
inference(nnf_transformation,[],[f27]) ).
fof(f1262,plain,
( sP18(sK41(sK74))
| ~ spl96_161 ),
inference(avatar_component_clause,[],[f1260]) ).
fof(f3226,plain,
( spl96_267
| spl96_439
| ~ spl96_12
| ~ spl96_161 ),
inference(avatar_split_clause,[],[f3221,f1260,f437,f3223,f2001]) ).
fof(f3221,plain,
( p2(sK31(sK42(sK74)))
| p2(sK42(sK74))
| ~ spl96_12
| ~ spl96_161 ),
inference(subsumption_resolution,[],[f3137,f439]) ).
fof(f3137,plain,
( p2(sK42(sK74))
| p2(sK31(sK42(sK74)))
| ~ sP15(sK74)
| ~ spl96_161 ),
inference(resolution,[],[f3133,f218]) ).
fof(f3133,plain,
( ! [X6] :
( ~ r1(sK41(sK74),X6)
| p2(X6)
| p2(sK31(X6)) )
| ~ spl96_161 ),
inference(resolution,[],[f1262,f198]) ).
fof(f198,plain,
! [X0,X1] :
( ~ sP18(X0)
| p2(X1)
| p2(sK31(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f3220,plain,
( ~ spl96_12
| ~ spl96_267 ),
inference(avatar_contradiction_clause,[],[f3219]) ).
fof(f3219,plain,
( $false
| ~ spl96_12
| ~ spl96_267 ),
inference(subsumption_resolution,[],[f3217,f439]) ).
fof(f3217,plain,
( ~ sP15(sK74)
| ~ spl96_267 ),
inference(resolution,[],[f2002,f219]) ).
fof(f219,plain,
! [X0] :
( ~ p2(sK42(X0))
| ~ sP15(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f2002,plain,
( p2(sK42(sK74))
| ~ spl96_267 ),
inference(avatar_component_clause,[],[f2001]) ).
fof(f3216,plain,
( ~ spl96_12
| ~ spl96_161
| spl96_267
| ~ spl96_330 ),
inference(avatar_contradiction_clause,[],[f3215]) ).
fof(f3215,plain,
( $false
| ~ spl96_12
| ~ spl96_161
| spl96_267
| ~ spl96_330 ),
inference(subsumption_resolution,[],[f3214,f439]) ).
fof(f3214,plain,
( ~ sP15(sK74)
| ~ spl96_12
| ~ spl96_161
| spl96_267
| ~ spl96_330 ),
inference(subsumption_resolution,[],[f3213,f1262]) ).
fof(f3213,plain,
( ~ sP18(sK41(sK74))
| ~ sP15(sK74)
| ~ spl96_12
| ~ spl96_161
| spl96_267
| ~ spl96_330 ),
inference(resolution,[],[f3182,f218]) ).
fof(f3182,plain,
( ! [X0] :
( ~ r1(X0,sK42(sK74))
| ~ sP18(X0) )
| ~ spl96_12
| ~ spl96_161
| spl96_267
| ~ spl96_330 ),
inference(subsumption_resolution,[],[f3173,f2003]) ).
fof(f3173,plain,
( ! [X0] :
( p2(sK42(sK74))
| ~ sP18(X0)
| ~ r1(X0,sK42(sK74)) )
| ~ spl96_12
| ~ spl96_161
| spl96_267
| ~ spl96_330 ),
inference(resolution,[],[f3172,f199]) ).
fof(f199,plain,
! [X0,X1] :
( ~ p2(sK32(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP18(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f3172,plain,
( p2(sK32(sK42(sK74)))
| ~ spl96_12
| ~ spl96_161
| spl96_267
| ~ spl96_330 ),
inference(resolution,[],[f3156,f2466]) ).
fof(f2466,plain,
( ! [X0] :
( ~ r1(sK31(sK42(sK74)),X0)
| p2(X0) )
| ~ spl96_330 ),
inference(avatar_component_clause,[],[f2465]) ).
fof(f3156,plain,
( r1(sK31(sK42(sK74)),sK32(sK42(sK74)))
| ~ spl96_12
| ~ spl96_161
| spl96_267 ),
inference(subsumption_resolution,[],[f3155,f2003]) ).
fof(f3155,plain,
( p2(sK42(sK74))
| r1(sK31(sK42(sK74)),sK32(sK42(sK74)))
| ~ spl96_12
| ~ spl96_161 ),
inference(subsumption_resolution,[],[f3152,f439]) ).
fof(f3152,plain,
( r1(sK31(sK42(sK74)),sK32(sK42(sK74)))
| ~ sP15(sK74)
| p2(sK42(sK74))
| ~ spl96_161 ),
inference(resolution,[],[f3130,f218]) ).
fof(f3130,plain,
( ! [X3] :
( ~ r1(sK41(sK74),X3)
| p2(X3)
| r1(sK31(X3),sK32(X3)) )
| ~ spl96_161 ),
inference(resolution,[],[f1262,f200]) ).
fof(f200,plain,
! [X0,X1] :
( ~ sP18(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(sK31(X1),sK32(X1)) ),
inference(cnf_transformation,[],[f56]) ).
fof(f2331,plain,
( spl96_161
| spl96_160
| ~ spl96_12
| ~ spl96_42
| ~ spl96_163 ),
inference(avatar_split_clause,[],[f2330,f1268,f579,f437,f1256,f1260]) ).
fof(f579,plain,
( spl96_42
<=> ! [X11] :
( sP18(X11)
| ~ r1(sK74,X11)
| sP17(X11)
| ~ p2(X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_42])]) ).
fof(f2330,plain,
( sP17(sK41(sK74))
| sP18(sK41(sK74))
| ~ spl96_12
| ~ spl96_42
| ~ spl96_163 ),
inference(subsumption_resolution,[],[f1914,f1269]) ).
fof(f1269,plain,
( p2(sK41(sK74))
| ~ spl96_163 ),
inference(avatar_component_clause,[],[f1268]) ).
fof(f1914,plain,
( sP17(sK41(sK74))
| ~ p2(sK41(sK74))
| sP18(sK41(sK74))
| ~ spl96_12
| ~ spl96_42 ),
inference(resolution,[],[f1907,f580]) ).
fof(f580,plain,
( ! [X11] :
( ~ r1(sK74,X11)
| sP17(X11)
| ~ p2(X11)
| sP18(X11) )
| ~ spl96_42 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f1902,plain,
( spl96_240
| ~ spl96_11
| ~ spl96_14
| spl96_28
| ~ spl96_55
| ~ spl96_59 ),
inference(avatar_split_clause,[],[f1901,f662,f642,f510,f445,f433,f1808]) ).
fof(f1808,plain,
( spl96_240
<=> ! [X0] :
( ~ r1(sK69(sK74),X0)
| p2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_240])]) ).
fof(f1901,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK69(sK74),X0) )
| ~ spl96_11
| ~ spl96_14
| spl96_28
| ~ spl96_55
| ~ spl96_59 ),
inference(subsumption_resolution,[],[f1859,f1800]) ).
fof(f1800,plain,
( p2(sK69(sK74))
| ~ spl96_11
| spl96_28
| ~ spl96_55 ),
inference(subsumption_resolution,[],[f1795,f512]) ).
fof(f1795,plain,
( p2(sK74)
| p2(sK69(sK74))
| ~ spl96_11
| ~ spl96_55 ),
inference(resolution,[],[f644,f434]) ).
fof(f1859,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK69(sK74),X0)
| ~ p2(sK69(sK74)) )
| ~ spl96_14
| spl96_28
| ~ spl96_55
| ~ spl96_59 ),
inference(resolution,[],[f1802,f446]) ).
fof(f1802,plain,
( r1(sK74,sK69(sK74))
| spl96_28
| ~ spl96_55
| ~ spl96_59 ),
inference(subsumption_resolution,[],[f1796,f512]) ).
fof(f1796,plain,
( r1(sK74,sK69(sK74))
| p2(sK74)
| ~ spl96_55
| ~ spl96_59 ),
inference(resolution,[],[f644,f663]) ).
fof(f1900,plain,
( ~ spl96_6
| spl96_28
| ~ spl96_55
| ~ spl96_72
| ~ spl96_240 ),
inference(avatar_contradiction_clause,[],[f1899]) ).
fof(f1899,plain,
( $false
| ~ spl96_6
| spl96_28
| ~ spl96_55
| ~ spl96_72
| ~ spl96_240 ),
inference(subsumption_resolution,[],[f1898,f644]) ).
fof(f1898,plain,
( ~ r1(sK68,sK74)
| ~ spl96_6
| spl96_28
| ~ spl96_55
| ~ spl96_72
| ~ spl96_240 ),
inference(subsumption_resolution,[],[f1889,f512]) ).
fof(f1889,plain,
( p2(sK74)
| ~ r1(sK68,sK74)
| ~ spl96_6
| spl96_28
| ~ spl96_55
| ~ spl96_72
| ~ spl96_240 ),
inference(resolution,[],[f1887,f414]) ).
fof(f1887,plain,
( p2(sK70(sK74))
| spl96_28
| ~ spl96_55
| ~ spl96_72
| ~ spl96_240 ),
inference(resolution,[],[f1809,f1801]) ).
fof(f1801,plain,
( r1(sK69(sK74),sK70(sK74))
| spl96_28
| ~ spl96_55
| ~ spl96_72 ),
inference(subsumption_resolution,[],[f1799,f512]) ).
fof(f1799,plain,
( r1(sK69(sK74),sK70(sK74))
| p2(sK74)
| ~ spl96_55
| ~ spl96_72 ),
inference(resolution,[],[f644,f723]) ).
fof(f723,plain,
( ! [X1] :
( ~ r1(sK68,X1)
| p2(X1)
| r1(sK69(X1),sK70(X1)) )
| ~ spl96_72 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f722,plain,
( spl96_72
<=> ! [X1] :
( ~ r1(sK68,X1)
| p2(X1)
| r1(sK69(X1),sK70(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_72])]) ).
fof(f1809,plain,
( ! [X0] :
( ~ r1(sK69(sK74),X0)
| p2(X0) )
| ~ spl96_240 ),
inference(avatar_component_clause,[],[f1808]) ).
fof(f1738,plain,
( spl96_234
| spl96_210
| ~ spl96_27
| spl96_54
| ~ spl96_147 ),
inference(avatar_split_clause,[],[f1727,f1176,f637,f505,f1555,f1735]) ).
fof(f1727,plain,
( p2(sK95(sK71))
| r1(sK95(sK71),sK43(sK95(sK71)))
| ~ spl96_27
| spl96_54
| ~ spl96_147 ),
inference(resolution,[],[f1690,f1303]) ).
fof(f1690,plain,
( ! [X0] :
( ~ r1(sK71,X0)
| r1(X0,sK43(X0))
| p2(X0) )
| ~ spl96_27
| ~ spl96_147 ),
inference(resolution,[],[f1643,f507]) ).
fof(f1643,plain,
( ! [X2,X3] :
( ~ r1(sK68,X2)
| r1(X3,sK43(X3))
| p2(X3)
| ~ r1(X2,X3) )
| ~ spl96_147 ),
inference(resolution,[],[f1178,f225]) ).
fof(f1660,plain,
( spl96_228
| spl96_229
| ~ spl96_211 ),
inference(avatar_split_clause,[],[f1653,f1559,f1658,f1655]) ).
fof(f1559,plain,
( spl96_211
<=> p2(sK43(sK95(sK71))) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_211])]) ).
fof(f1653,plain,
( ! [X0,X1] :
( ~ r1(sK95(X1),sK43(sK95(sK71)))
| p2(X1)
| ~ r1(sK43(sK95(sK71)),X0)
| ~ r1(sK68,X1)
| p2(X0) )
| ~ spl96_211 ),
inference(resolution,[],[f1561,f313]) ).
fof(f1561,plain,
( p2(sK43(sK95(sK71)))
| ~ spl96_211 ),
inference(avatar_component_clause,[],[f1559]) ).
fof(f1588,plain,
( spl96_213
| spl96_214
| ~ spl96_72
| ~ spl96_148 ),
inference(avatar_split_clause,[],[f1579,f1180,f722,f1585,f1581]) ).
fof(f1579,plain,
( p2(sK29(sK68))
| r1(sK69(sK29(sK68)),sK70(sK29(sK68)))
| ~ spl96_72
| ~ spl96_148 ),
inference(resolution,[],[f1182,f723]) ).
fof(f1566,plain,
( spl96_147
| spl96_212
| ~ spl96_13 ),
inference(avatar_split_clause,[],[f1476,f441,f1564,f1176]) ).
fof(f1476,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| sP14(sK68)
| ~ p2(X0)
| p2(X1)
| ~ r1(sK29(sK68),X0) )
| ~ spl96_13 ),
inference(resolution,[],[f192,f443]) ).
fof(f192,plain,
! [X0,X4,X5] :
( ~ sP19(X0)
| ~ r1(X4,X5)
| ~ r1(sK29(X0),X4)
| sP14(X0)
| ~ p2(X4)
| p2(X5) ),
inference(cnf_transformation,[],[f50]) ).
fof(f1562,plain,
( spl96_210
| spl96_211
| ~ spl96_27
| spl96_54
| ~ spl96_147 ),
inference(avatar_split_clause,[],[f1541,f1176,f637,f505,f1559,f1555]) ).
fof(f1541,plain,
( p2(sK43(sK95(sK71)))
| p2(sK95(sK71))
| ~ spl96_27
| spl96_54
| ~ spl96_147 ),
inference(resolution,[],[f1386,f1303]) ).
fof(f1386,plain,
( ! [X0] :
( ~ r1(sK71,X0)
| p2(X0)
| p2(sK43(X0)) )
| ~ spl96_27
| ~ spl96_147 ),
inference(resolution,[],[f1384,f507]) ).
fof(f1384,plain,
( ! [X0,X1] :
( ~ r1(sK68,X1)
| p2(sK43(X0))
| p2(X0)
| ~ r1(X1,X0) )
| ~ spl96_147 ),
inference(resolution,[],[f226,f1178]) ).
fof(f1353,plain,
( ~ spl96_66
| ~ spl96_117 ),
inference(avatar_split_clause,[],[f1344,f979,f695]) ).
fof(f1344,plain,
( ~ sP5(sK68)
| ~ spl96_117 ),
inference(resolution,[],[f981,f275]) ).
fof(f275,plain,
! [X0] :
( ~ p2(sK58(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f981,plain,
( p2(sK58(sK68))
| ~ spl96_117 ),
inference(avatar_component_clause,[],[f979]) ).
fof(f1266,plain,
( spl96_160
| spl96_161
| spl96_162
| ~ spl96_12
| ~ spl96_62 ),
inference(avatar_split_clause,[],[f1253,f676,f437,f1264,f1260,f1256]) ).
fof(f676,plain,
( spl96_62
<=> ! [X13,X12,X11] :
( sP18(X11)
| ~ p2(X12)
| ~ r1(X11,X12)
| ~ r1(X12,X13)
| ~ r1(sK74,X11)
| sP17(X11)
| p2(X13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_62])]) ).
fof(f1253,plain,
( ! [X2,X1] :
( ~ r1(X1,X2)
| ~ p2(X1)
| p2(X2)
| sP18(sK41(sK74))
| ~ r1(sK41(sK74),X1)
| sP17(sK41(sK74)) )
| ~ spl96_12
| ~ spl96_62 ),
inference(resolution,[],[f1184,f677]) ).
fof(f677,plain,
( ! [X11,X12,X13] :
( ~ r1(sK74,X11)
| sP17(X11)
| ~ p2(X12)
| sP18(X11)
| p2(X13)
| ~ r1(X11,X12)
| ~ r1(X12,X13) )
| ~ spl96_62 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f1184,plain,
( r1(sK74,sK41(sK74))
| ~ spl96_12 ),
inference(resolution,[],[f439,f217]) ).
fof(f1183,plain,
( spl96_147
| spl96_148
| ~ spl96_13 ),
inference(avatar_split_clause,[],[f1174,f441,f1180,f1176]) ).
fof(f1174,plain,
( r1(sK68,sK29(sK68))
| sP14(sK68)
| ~ spl96_13 ),
inference(resolution,[],[f191,f443]) ).
fof(f191,plain,
! [X0] :
( ~ sP19(X0)
| r1(X0,sK29(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f998,plain,
( ~ spl96_5
| ~ spl96_67
| ~ spl96_68 ),
inference(avatar_contradiction_clause,[],[f997]) ).
fof(f997,plain,
( $false
| ~ spl96_5
| ~ spl96_67
| ~ spl96_68 ),
inference(subsumption_resolution,[],[f996,f993]) ).
fof(f993,plain,
( ~ r1(sK68,sK85(sK68))
| ~ spl96_5
| ~ spl96_67 ),
inference(resolution,[],[f990,f411]) ).
fof(f411,plain,
( ! [X5] :
( ~ p5(X5)
| ~ r1(sK68,X5) )
| ~ spl96_5 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f410,plain,
( spl96_5
<=> ! [X5] :
( ~ r1(sK68,X5)
| ~ p5(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_5])]) ).
fof(f990,plain,
( p5(sK85(sK68))
| ~ spl96_67 ),
inference(resolution,[],[f700,f392]) ).
fof(f392,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(f700,plain,
( ! [X37] :
( ~ r1(sK68,X37)
| p5(sK85(X37)) )
| ~ spl96_67 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f699,plain,
( spl96_67
<=> ! [X37] :
( p5(sK85(X37))
| ~ r1(sK68,X37) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_67])]) ).
fof(f996,plain,
( r1(sK68,sK85(sK68))
| ~ spl96_68 ),
inference(resolution,[],[f704,f392]) ).
fof(f704,plain,
( ! [X37] :
( ~ r1(sK68,X37)
| r1(X37,sK85(X37)) )
| ~ spl96_68 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f703,plain,
( spl96_68
<=> ! [X37] :
( r1(X37,sK85(X37))
| ~ r1(sK68,X37) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl96_68])]) ).
fof(f982,plain,
( spl96_116
| spl96_117
| ~ spl96_66 ),
inference(avatar_split_clause,[],[f934,f695,f979,f975]) ).
fof(f934,plain,
( p2(sK58(sK68))
| r1(sK58(sK68),sK95(sK58(sK68)))
| ~ spl96_66 ),
inference(resolution,[],[f933,f314]) ).
fof(f933,plain,
( r1(sK68,sK58(sK68))
| ~ spl96_66 ),
inference(resolution,[],[f276,f697]) ).
fof(f724,plain,
( spl96_72
| spl96_5 ),
inference(avatar_split_clause,[],[f388,f410,f722]) ).
fof(f388,plain,
! [X1,X5] :
( ~ r1(sK68,X5)
| ~ r1(sK68,X1)
| r1(sK69(X1),sK70(X1))
| p2(X1)
| ~ p5(X5) ),
inference(cnf_transformation,[],[f174]) ).
fof(f705,plain,
( spl96_66
| spl96_68 ),
inference(avatar_split_clause,[],[f342,f703,f695]) ).
fof(f342,plain,
! [X37] :
( r1(X37,sK85(X37))
| sP5(sK68)
| ~ r1(sK68,X37) ),
inference(cnf_transformation,[],[f174]) ).
fof(f701,plain,
( spl96_66
| spl96_67 ),
inference(avatar_split_clause,[],[f341,f699,f695]) ).
fof(f341,plain,
! [X37] :
( p5(sK85(X37))
| ~ r1(sK68,X37)
| sP5(sK68) ),
inference(cnf_transformation,[],[f174]) ).
fof(f678,plain,
( spl96_13
| spl96_62 ),
inference(avatar_split_clause,[],[f376,f676,f441]) ).
fof(f376,plain,
! [X11,X12,X13] :
( sP18(X11)
| p2(X13)
| sP17(X11)
| ~ r1(sK74,X11)
| ~ r1(X12,X13)
| ~ r1(X11,X12)
| sP19(sK68)
| ~ p2(X12) ),
inference(cnf_transformation,[],[f174]) ).
fof(f664,plain,
( spl96_5
| spl96_59 ),
inference(avatar_split_clause,[],[f390,f662,f410]) ).
fof(f390,plain,
! [X1,X5] :
( ~ r1(sK68,X1)
| p2(X1)
| r1(X1,sK69(X1))
| ~ r1(sK68,X5)
| ~ p5(X5) ),
inference(cnf_transformation,[],[f174]) ).
fof(f645,plain,
( spl96_55
| spl96_13 ),
inference(avatar_split_clause,[],[f373,f441,f642]) ).
fof(f373,plain,
( sP19(sK68)
| r1(sK68,sK74) ),
inference(cnf_transformation,[],[f174]) ).
fof(f640,plain,
( spl96_5
| ~ spl96_54 ),
inference(avatar_split_clause,[],[f386,f637,f410]) ).
fof(f386,plain,
! [X5] :
( ~ p2(sK71)
| ~ p5(X5)
| ~ r1(sK68,X5) ),
inference(cnf_transformation,[],[f174]) ).
fof(f581,plain,
( spl96_13
| spl96_42 ),
inference(avatar_split_clause,[],[f377,f579,f441]) ).
fof(f377,plain,
! [X11] :
( sP18(X11)
| ~ p2(X11)
| sP17(X11)
| sP19(sK68)
| ~ r1(sK74,X11) ),
inference(cnf_transformation,[],[f174]) ).
fof(f513,plain,
( spl96_12
| spl96_13
| ~ spl96_28 ),
inference(avatar_split_clause,[],[f374,f510,f441,f437]) ).
fof(f374,plain,
( ~ p2(sK74)
| sP19(sK68)
| sP15(sK74) ),
inference(cnf_transformation,[],[f174]) ).
fof(f508,plain,
( spl96_5
| spl96_27 ),
inference(avatar_split_clause,[],[f387,f505,f410]) ).
fof(f387,plain,
! [X5] :
( r1(sK68,sK71)
| ~ p5(X5)
| ~ r1(sK68,X5) ),
inference(cnf_transformation,[],[f174]) ).
fof(f447,plain,
( spl96_12
| spl96_13
| spl96_14 ),
inference(avatar_split_clause,[],[f375,f445,f441,f437]) ).
fof(f375,plain,
! [X14,X15] :
( ~ r1(sK74,X14)
| ~ r1(X14,X15)
| sP19(sK68)
| p2(X15)
| sP15(sK74)
| ~ p2(X14) ),
inference(cnf_transformation,[],[f174]) ).
fof(f435,plain,
( spl96_11
| spl96_5 ),
inference(avatar_split_clause,[],[f391,f410,f433]) ).
fof(f391,plain,
! [X1,X5] :
( ~ p5(X5)
| p2(sK69(X1))
| ~ r1(sK68,X5)
| ~ r1(sK68,X1)
| p2(X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f415,plain,
( spl96_5
| spl96_6 ),
inference(avatar_split_clause,[],[f389,f413,f410]) ).
fof(f389,plain,
! [X1,X5] :
( ~ p2(sK70(X1))
| ~ r1(sK68,X5)
| p2(X1)
| ~ r1(sK68,X1)
| ~ p5(X5) ),
inference(cnf_transformation,[],[f174]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL660+1.010 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 02:28:41 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.51 % (8775)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.51 % (8782)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51 % (8792)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.52 % (8798)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.52 % (8787)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.52 % (8784)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.53 % (8779)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (8774)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.54 % (8777)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54 % (8776)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54 % (8785)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.54 % (8778)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.54 % (8800)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.54 % (8801)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.54 % (8783)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.54 % (8786)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.54 % (8773)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.54 % (8793)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.50/0.55 % (8799)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.50/0.55 % (8794)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.50/0.55 % (8788)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.50/0.55 % (8796)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.50/0.55 % (8791)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.50/0.56 % (8790)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.50/0.56 % (8780)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.50/0.56 % (8789)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.50/0.56 % (8780)Instruction limit reached!
% 1.50/0.56 % (8780)------------------------------
% 1.50/0.56 % (8780)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.56 % (8780)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.56 % (8780)Termination reason: Unknown
% 1.50/0.56 % (8780)Termination phase: Saturation
% 1.50/0.56
% 1.50/0.56 % (8780)Memory used [KB]: 1407
% 1.50/0.56 % (8780)Time elapsed: 0.005 s
% 1.50/0.56 % (8780)Instructions burned: 9 (million)
% 1.50/0.56 % (8780)------------------------------
% 1.50/0.56 % (8780)------------------------------
% 1.50/0.56 % (8795)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.50/0.56 % (8802)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.50/0.57 % (8775)Instruction limit reached!
% 1.50/0.57 % (8775)------------------------------
% 1.50/0.57 % (8775)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.57 % (8775)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.57 % (8775)Termination reason: Unknown
% 1.50/0.57 % (8775)Termination phase: Saturation
% 1.50/0.57
% 1.50/0.57 % (8775)Memory used [KB]: 1663
% 1.50/0.57 % (8775)Time elapsed: 0.138 s
% 1.50/0.57 % (8775)Instructions burned: 38 (million)
% 1.50/0.57 % (8775)------------------------------
% 1.50/0.57 % (8775)------------------------------
% 1.65/0.57 % (8781)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.65/0.57 % (8781)Instruction limit reached!
% 1.65/0.57 % (8781)------------------------------
% 1.65/0.57 % (8781)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.57 % (8781)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.57 % (8781)Termination reason: Unknown
% 1.65/0.57 % (8781)Termination phase: Preprocessing 1
% 1.65/0.57
% 1.65/0.57 % (8781)Memory used [KB]: 1023
% 1.65/0.57 % (8781)Time elapsed: 0.002 s
% 1.65/0.57 % (8781)Instructions burned: 2 (million)
% 1.65/0.57 % (8781)------------------------------
% 1.65/0.57 % (8781)------------------------------
% 1.65/0.57 % (8797)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.65/0.58 TRYING [1]
% 1.65/0.58 TRYING [2]
% 1.65/0.58 % (8782)Instruction limit reached!
% 1.65/0.58 % (8782)------------------------------
% 1.65/0.58 % (8782)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.58 % (8782)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.58 % (8782)Termination reason: Unknown
% 1.65/0.58 % (8782)Termination phase: Saturation
% 1.65/0.58
% 1.65/0.58 % (8782)Memory used [KB]: 1791
% 1.65/0.58 % (8782)Time elapsed: 0.143 s
% 1.65/0.58 % (8782)Instructions burned: 51 (million)
% 1.65/0.58 % (8782)------------------------------
% 1.65/0.58 % (8782)------------------------------
% 1.65/0.59 % (8774)Refutation not found, incomplete strategy% (8774)------------------------------
% 1.65/0.59 % (8774)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.59 % (8774)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.59 % (8774)Termination reason: Refutation not found, incomplete strategy
% 1.65/0.59
% 1.65/0.59 % (8774)Memory used [KB]: 6268
% 1.65/0.59 % (8774)Time elapsed: 0.173 s
% 1.65/0.59 % (8774)Instructions burned: 23 (million)
% 1.65/0.59 % (8774)------------------------------
% 1.65/0.59 % (8774)------------------------------
% 1.65/0.60 TRYING [3]
% 1.65/0.61 % (8779)Instruction limit reached!
% 1.65/0.61 % (8779)------------------------------
% 1.65/0.61 % (8779)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.61 % (8779)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.61 % (8779)Termination reason: Unknown
% 1.65/0.61 % (8779)Termination phase: Finite model building constraint generation
% 1.65/0.61
% 1.65/0.61 % (8779)Memory used [KB]: 7675
% 1.65/0.61 % (8779)Time elapsed: 0.155 s
% 1.65/0.61 % (8779)Instructions burned: 53 (million)
% 1.65/0.61 % (8779)------------------------------
% 1.65/0.61 % (8779)------------------------------
% 1.65/0.61 TRYING [1]
% 1.65/0.61 TRYING [2]
% 1.65/0.62 % (8778)Instruction limit reached!
% 1.65/0.62 % (8778)------------------------------
% 1.65/0.62 % (8778)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.62 % (8778)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.62 % (8778)Termination reason: Unknown
% 1.65/0.62 % (8778)Termination phase: Saturation
% 1.65/0.62
% 1.65/0.62 % (8778)Memory used [KB]: 6908
% 1.65/0.62 % (8778)Time elapsed: 0.208 s
% 1.65/0.62 % (8778)Instructions burned: 49 (million)
% 1.65/0.62 % (8778)------------------------------
% 1.65/0.62 % (8778)------------------------------
% 1.65/0.62 % (8783)Instruction limit reached!
% 1.65/0.62 % (8783)------------------------------
% 1.65/0.62 % (8783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.62 % (8783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.62 % (8783)Termination reason: Unknown
% 1.65/0.62 % (8783)Termination phase: Saturation
% 1.65/0.62
% 1.65/0.62 % (8783)Memory used [KB]: 6780
% 1.65/0.62 % (8783)Time elapsed: 0.214 s
% 1.65/0.62 % (8783)Instructions burned: 51 (million)
% 1.65/0.62 % (8783)------------------------------
% 1.65/0.62 % (8783)------------------------------
% 2.10/0.64 % (8790)Instruction limit reached!
% 2.10/0.64 % (8790)------------------------------
% 2.10/0.64 % (8790)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.64 % (8790)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.10/0.64 % (8790)Termination reason: Unknown
% 2.10/0.64 % (8790)Termination phase: Finite model building preprocessing
% 2.10/0.64
% 2.10/0.64 % (8790)Memory used [KB]: 7291
% 2.10/0.64 % (8790)Time elapsed: 0.026 s
% 2.10/0.64 % (8790)Instructions burned: 60 (million)
% 2.10/0.64 % (8790)------------------------------
% 2.10/0.64 % (8790)------------------------------
% 2.10/0.64 TRYING [3]
% 2.10/0.64 % (8776)Instruction limit reached!
% 2.10/0.64 % (8776)------------------------------
% 2.10/0.64 % (8776)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.64 % (8776)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.10/0.64 % (8776)Termination reason: Unknown
% 2.10/0.64 % (8776)Termination phase: Saturation
% 2.10/0.64
% 2.10/0.64 % (8776)Memory used [KB]: 7291
% 2.10/0.64 % (8776)Time elapsed: 0.213 s
% 2.10/0.64 % (8776)Instructions burned: 51 (million)
% 2.10/0.64 % (8776)------------------------------
% 2.10/0.64 % (8776)------------------------------
% 2.10/0.65 % (8792)Instruction limit reached!
% 2.10/0.65 % (8792)------------------------------
% 2.10/0.65 % (8792)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.65 % (8792)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.10/0.65 % (8792)Termination reason: Unknown
% 2.10/0.65 % (8792)Termination phase: Saturation
% 2.10/0.65
% 2.10/0.65 % (8792)Memory used [KB]: 1918
% 2.10/0.65 % (8792)Time elapsed: 0.231 s
% 2.10/0.65 % (8792)Instructions burned: 100 (million)
% 2.10/0.65 % (8792)------------------------------
% 2.10/0.65 % (8792)------------------------------
% 2.10/0.65 % (8777)Instruction limit reached!
% 2.10/0.65 % (8777)------------------------------
% 2.10/0.65 % (8777)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.65 % (8787)Instruction limit reached!
% 2.10/0.65 % (8787)------------------------------
% 2.10/0.65 % (8787)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.65 % (8787)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.10/0.65 % (8787)Termination reason: Unknown
% 2.10/0.65 % (8787)Termination phase: Saturation
% 2.10/0.65
% 2.10/0.65 % (8787)Memory used [KB]: 6780
% 2.10/0.65 % (8787)Time elapsed: 0.047 s
% 2.10/0.65 % (8787)Instructions burned: 69 (million)
% 2.10/0.65 % (8787)------------------------------
% 2.10/0.65 % (8787)------------------------------
% 2.27/0.66 % (8777)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.66 % (8777)Termination reason: Unknown
% 2.27/0.66 % (8777)Termination phase: Saturation
% 2.27/0.66
% 2.27/0.66 % (8777)Memory used [KB]: 7291
% 2.27/0.66 % (8777)Time elapsed: 0.218 s
% 2.27/0.66 % (8777)Instructions burned: 51 (million)
% 2.27/0.66 % (8777)------------------------------
% 2.27/0.66 % (8777)------------------------------
% 2.27/0.67 % (8810)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.27/0.67 TRYING [4]
% 2.27/0.69 % (8799)Instruction limit reached!
% 2.27/0.69 % (8799)------------------------------
% 2.27/0.69 % (8799)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.69 % (8788)Instruction limit reached!
% 2.27/0.69 % (8788)------------------------------
% 2.27/0.69 % (8788)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.69 % (8799)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.69 % (8788)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.69 % (8799)Termination reason: Unknown
% 2.27/0.69 % (8788)Termination reason: Unknown
% 2.27/0.69 % (8799)Termination phase: Saturation
% 2.27/0.69 % (8788)Termination phase: Saturation
% 2.27/0.69
% 2.27/0.69
% 2.27/0.69 % (8799)Memory used [KB]: 6780
% 2.27/0.69 % (8788)Memory used [KB]: 1663
% 2.27/0.69 % (8799)Time elapsed: 0.037 s
% 2.27/0.69 % (8788)Time elapsed: 0.265 s
% 2.27/0.69 % (8799)Instructions burned: 69 (million)
% 2.27/0.69 % (8788)Instructions burned: 77 (million)
% 2.27/0.69 % (8799)------------------------------
% 2.27/0.69 % (8799)------------------------------
% 2.27/0.69 % (8788)------------------------------
% 2.27/0.69 % (8788)------------------------------
% 2.27/0.70 % (8784)Instruction limit reached!
% 2.27/0.70 % (8784)------------------------------
% 2.27/0.70 % (8784)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.70 % (8784)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.70 % (8784)Termination reason: Unknown
% 2.27/0.70 % (8784)Termination phase: Saturation
% 2.27/0.70
% 2.27/0.70 % (8784)Memory used [KB]: 8059
% 2.27/0.70 % (8784)Time elapsed: 0.289 s
% 2.27/0.70 % (8784)Instructions burned: 100 (million)
% 2.27/0.70 % (8784)------------------------------
% 2.27/0.70 % (8784)------------------------------
% 2.27/0.70 % (8812)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.27/0.71 % (8786)Instruction limit reached!
% 2.27/0.71 % (8786)------------------------------
% 2.27/0.71 % (8786)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.71 % (8786)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.71 % (8786)Termination reason: Unknown
% 2.27/0.71 % (8786)Termination phase: Saturation
% 2.27/0.71
% 2.27/0.71 % (8786)Memory used [KB]: 7675
% 2.27/0.71 % (8786)Time elapsed: 0.297 s
% 2.27/0.71 % (8786)Instructions burned: 99 (million)
% 2.27/0.71 % (8786)------------------------------
% 2.27/0.71 % (8786)------------------------------
% 2.27/0.71 % (8811)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.59/0.73 % (8791)Instruction limit reached!
% 2.59/0.73 % (8791)------------------------------
% 2.59/0.73 % (8791)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.59/0.73 % (8791)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.59/0.73 % (8791)Termination reason: Unknown
% 2.59/0.73 % (8791)Termination phase: Saturation
% 2.59/0.73
% 2.59/0.73 % (8791)Memory used [KB]: 7675
% 2.59/0.73 % (8791)Time elapsed: 0.323 s
% 2.59/0.73 % (8791)Instructions burned: 101 (million)
% 2.59/0.73 % (8791)------------------------------
% 2.59/0.73 % (8791)------------------------------
% 2.59/0.73 % (8813)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.59/0.73 % (8789)Instruction limit reached!
% 2.59/0.73 % (8789)------------------------------
% 2.59/0.73 % (8789)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.59/0.73 % (8789)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.59/0.73 % (8789)Termination reason: Unknown
% 2.59/0.73 % (8789)Termination phase: Saturation
% 2.59/0.73
% 2.59/0.73 % (8789)Memory used [KB]: 7675
% 2.59/0.73 % (8789)Time elapsed: 0.307 s
% 2.59/0.73 % (8789)Instructions burned: 101 (million)
% 2.59/0.73 % (8789)------------------------------
% 2.59/0.73 % (8789)------------------------------
% 2.59/0.74 % (8814)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.59/0.75 % (8815)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.59/0.75 % (8817)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.59/0.76 % (8818)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.59/0.76 % (8785)Instruction limit reached!
% 2.59/0.76 % (8785)------------------------------
% 2.59/0.76 % (8785)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.59/0.76 % (8785)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.59/0.76 % (8785)Termination reason: Unknown
% 2.59/0.76 % (8785)Termination phase: Saturation
% 2.59/0.76
% 2.59/0.76 % (8785)Memory used [KB]: 7931
% 2.59/0.76 % (8785)Time elapsed: 0.330 s
% 2.59/0.76 % (8785)Instructions burned: 101 (million)
% 2.59/0.76 % (8785)------------------------------
% 2.59/0.76 % (8785)------------------------------
% 2.74/0.77 % (8816)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.74/0.79 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.74/0.79 % (8819)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.74/0.79 TRYING [5]
% 2.74/0.80 % (8820)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.74/0.80 % (8821)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.74/0.81 % (8794)Instruction limit reached!
% 2.74/0.81 % (8794)------------------------------
% 2.74/0.81 % (8794)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.81 % (8794)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.81 % (8794)Termination reason: Unknown
% 2.74/0.81 % (8794)Termination phase: Saturation
% 2.74/0.81
% 2.74/0.81 % (8794)Memory used [KB]: 8699
% 2.74/0.81 % (8794)Time elapsed: 0.402 s
% 2.74/0.81 % (8794)Instructions burned: 138 (million)
% 2.74/0.81 % (8794)------------------------------
% 2.74/0.81 % (8794)------------------------------
% 2.74/0.82 % (8824)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/3735Mi)
% 2.74/0.83 % (8796)First to succeed.
% 2.94/0.84 % (8800)Instruction limit reached!
% 2.94/0.84 % (8800)------------------------------
% 2.94/0.84 % (8800)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.94/0.84 % (8800)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.94/0.84 % (8800)Termination reason: Unknown
% 2.94/0.84 % (8800)Termination phase: Saturation
% 2.94/0.84
% 2.94/0.84 % (8800)Memory used [KB]: 1918
% 2.94/0.84 % (8800)Time elapsed: 0.430 s
% 2.94/0.84 % (8800)Instructions burned: 179 (million)
% 2.94/0.84 % (8800)------------------------------
% 2.94/0.84 % (8800)------------------------------
% 2.94/0.84 % (8793)Instruction limit reached!
% 2.94/0.84 % (8793)------------------------------
% 2.94/0.84 % (8793)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.94/0.84 % (8793)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.94/0.84 % (8793)Termination reason: Unknown
% 2.94/0.84 % (8793)Termination phase: Saturation
% 2.94/0.84
% 2.94/0.84 % (8793)Memory used [KB]: 8187
% 2.94/0.84 % (8793)Time elapsed: 0.440 s
% 2.94/0.84 % (8793)Instructions burned: 176 (million)
% 2.94/0.84 % (8793)------------------------------
% 2.94/0.84 % (8793)------------------------------
% 2.94/0.85 % (8825)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 2.94/0.85 % (8827)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.94/0.86 % (8826)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 3.03/0.87 % (8819)Refutation not found, incomplete strategy% (8819)------------------------------
% 3.03/0.87 % (8819)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.03/0.87 % (8819)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.03/0.87 % (8819)Termination reason: Refutation not found, incomplete strategy
% 3.03/0.87
% 3.03/0.87 % (8819)Memory used [KB]: 6524
% 3.03/0.87 % (8819)Time elapsed: 0.188 s
% 3.03/0.87 % (8819)Instructions burned: 42 (million)
% 3.03/0.87 % (8819)------------------------------
% 3.03/0.87 % (8819)------------------------------
% 3.03/0.87 % (8828)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 3.03/0.88 % (8796)Refutation found. Thanks to Tanya!
% 3.03/0.88 % SZS status Theorem for theBenchmark
% 3.03/0.88 % SZS output start Proof for theBenchmark
% See solution above
% 3.03/0.89 % (8796)------------------------------
% 3.03/0.89 % (8796)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.03/0.89 % (8796)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.03/0.89 % (8796)Termination reason: Refutation
% 3.03/0.89
% 3.03/0.89 % (8796)Memory used [KB]: 8571
% 3.03/0.89 % (8796)Time elapsed: 0.437 s
% 3.03/0.89 % (8796)Instructions burned: 141 (million)
% 3.03/0.89 % (8796)------------------------------
% 3.03/0.89 % (8796)------------------------------
% 3.03/0.89 % (8769)Success in time 0.517 s
%------------------------------------------------------------------------------