TSTP Solution File: LCL642+1.005 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL642+1.005 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 17:43:33 EDT 2022
% Result : Theorem 1.50s 0.61s
% Output : Refutation 1.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 76
% Syntax : Number of formulae : 316 ( 5 unt; 0 def)
% Number of atoms : 3260 ( 0 equ)
% Maximal formula atoms : 192 ( 10 avg)
% Number of connectives : 4844 (1900 ~;2126 |; 751 &)
% ( 29 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 38 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 43 ( 42 usr; 30 prp; 0-2 aty)
% Number of functors : 38 ( 38 usr; 13 con; 0-1 aty)
% Number of variables : 1194 ( 897 !; 297 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1651,plain,
$false,
inference(avatar_sat_refutation,[],[f207,f258,f295,f319,f336,f512,f543,f619,f645,f699,f703,f787,f802,f927,f1082,f1141,f1219,f1297,f1300,f1305,f1311,f1314,f1431,f1440,f1481,f1483,f1494,f1633,f1637,f1650]) ).
fof(f1650,plain,
( ~ spl50_50
| spl50_85
| ~ spl50_222
| ~ spl50_223 ),
inference(avatar_contradiction_clause,[],[f1649]) ).
fof(f1649,plain,
( $false
| ~ spl50_50
| spl50_85
| ~ spl50_222
| ~ spl50_223 ),
inference(subsumption_resolution,[],[f1644,f164]) ).
fof(f164,plain,
r1(sK28,sK38),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( ! [X1] :
( p3(X1)
| ( p3(sK29(X1))
& r1(X1,sK29(X1))
& r1(sK29(X1),sK30(X1))
& ~ p3(sK30(X1)) )
| ~ r1(sK28,X1) )
& ( p1(sK28)
| ( ~ p1(sK31)
& r1(sK31,sK32)
& ! [X6] :
( ! [X7] :
( ! [X8] : ~ r1(X7,X8)
| ~ r1(X6,X7)
| p1(X7) )
| ~ r1(sK31,X6)
| ( r1(X6,sK33(X6))
& ~ p1(X6) ) )
& r1(sK28,sK31) )
| ! [X10] : ~ r1(sK28,X10) )
& ! [X11] :
( p1(X11)
| ( ~ p1(sK35(X11))
& r1(sK34(X11),sK35(X11))
& p1(sK34(X11))
& r1(X11,sK34(X11)) )
| ~ r1(sK28,X11) )
& ! [X14] :
( ~ r1(sK28,X14)
| ( p2(sK36(X14))
& r1(X14,sK36(X14))
& ~ p2(sK37(X14))
& r1(sK36(X14),sK37(X14)) )
| p2(X14) )
& ~ p2(sK38)
& r1(sK28,sK38)
& ( ( ( ( ! [X19] :
( ! [X20] :
( ~ r1(X19,X20)
| p2(X20) )
| ~ p2(X19)
| ~ r1(sK39,X19) )
& ~ p2(sK39) )
| sP6(sK39) )
& ! [X21] :
( ~ r1(sK39,X21)
| sP4(X21)
| ( ! [X22] :
( ~ r1(X21,X22)
| ~ p2(X22)
| ! [X23] :
( ~ r1(X22,X23)
| p2(X23) ) )
& ~ p2(X21) )
| sP5(X21) )
& r1(sK28,sK39) )
| sP7(sK28) )
& ( p3(sK28)
| p1(sK28)
| p2(sK28)
| ( sP1(sK40)
& r1(sK40,sK41)
& ~ p3(sK40)
& ~ p2(sK40)
& ~ p1(sK40)
& r1(sK28,sK40) )
| ! [X26] : ~ r1(sK28,X26) )
& ! [X27] :
( ( r1(X27,sK42(X27))
& ~ p2(sK42(X27))
& ! [X29] :
( ~ p2(X29)
| ~ r1(sK42(X27),X29)
| ! [X30] :
( ~ r1(X29,X30)
| p2(X30) ) ) )
| p2(X27)
| ~ r1(sK28,X27) )
& r1(sK28,sK43)
& ~ p3(sK43)
& ( p1(sK28)
| p2(sK28)
| ! [X32] : ~ r1(sK28,X32)
| p3(sK28)
| p4(sK28)
| ( ~ p2(sK44)
& ~ p1(sK44)
& r1(sK28,sK44)
& ~ p3(sK44)
& ~ p4(sK44)
& r1(sK44,sK45)
& sP0(sK44) ) )
& ( ( ! [X36] :
( ! [X37] :
( p2(X37)
| ~ r1(X36,X37)
| p1(X37)
| ! [X38] : ~ r1(X37,X38) )
| ~ r1(sK46,X36)
| ( ~ p2(X36)
& r1(X36,sK47(X36))
& ~ p1(X36) ) )
& r1(sK46,sK48)
& r1(sK28,sK46)
& ~ p2(sK46)
& ~ p1(sK46) )
| p2(sK28)
| ! [X41] : ~ r1(sK28,X41)
| p1(sK28) )
& r1(sK28,sK49)
& ~ p1(sK49) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39,sK40,sK41,sK42,sK43,sK44,sK45,sK46,sK47,sK48,sK49])],[f61,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62]) ).
fof(f62,plain,
( ? [X0] :
( ! [X1] :
( p3(X1)
| ? [X2] :
( p3(X2)
& r1(X1,X2)
& ? [X3] :
( r1(X2,X3)
& ~ p3(X3) ) )
| ~ r1(X0,X1) )
& ( p1(X0)
| ? [X4] :
( ~ p1(X4)
& ? [X5] : r1(X4,X5)
& ! [X6] :
( ! [X7] :
( ! [X8] : ~ r1(X7,X8)
| ~ r1(X6,X7)
| p1(X7) )
| ~ r1(X4,X6)
| ( ? [X9] : r1(X6,X9)
& ~ p1(X6) ) )
& r1(X0,X4) )
| ! [X10] : ~ r1(X0,X10) )
& ! [X11] :
( p1(X11)
| ? [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
& p1(X12)
& r1(X11,X12) )
| ~ r1(X0,X11) )
& ! [X14] :
( ~ r1(X0,X14)
| ? [X15] :
( p2(X15)
& r1(X14,X15)
& ? [X16] :
( ~ p2(X16)
& r1(X15,X16) ) )
| p2(X14) )
& ? [X17] :
( ~ p2(X17)
& r1(X0,X17) )
& ( ? [X18] :
( ( ( ! [X19] :
( ! [X20] :
( ~ r1(X19,X20)
| p2(X20) )
| ~ p2(X19)
| ~ r1(X18,X19) )
& ~ p2(X18) )
| sP6(X18) )
& ! [X21] :
( ~ r1(X18,X21)
| sP4(X21)
| ( ! [X22] :
( ~ r1(X21,X22)
| ~ p2(X22)
| ! [X23] :
( ~ r1(X22,X23)
| p2(X23) ) )
& ~ p2(X21) )
| sP5(X21) )
& r1(X0,X18) )
| sP7(X0) )
& ( p3(X0)
| p1(X0)
| p2(X0)
| ? [X24] :
( sP1(X24)
& ? [X25] : r1(X24,X25)
& ~ p3(X24)
& ~ p2(X24)
& ~ p1(X24)
& r1(X0,X24) )
| ! [X26] : ~ r1(X0,X26) )
& ! [X27] :
( ? [X28] :
( r1(X27,X28)
& ~ p2(X28)
& ! [X29] :
( ~ p2(X29)
| ~ r1(X28,X29)
| ! [X30] :
( ~ r1(X29,X30)
| p2(X30) ) ) )
| p2(X27)
| ~ r1(X0,X27) )
& ? [X31] :
( r1(X0,X31)
& ~ p3(X31) )
& ( p1(X0)
| p2(X0)
| ! [X32] : ~ r1(X0,X32)
| p3(X0)
| p4(X0)
| ? [X33] :
( ~ p2(X33)
& ~ p1(X33)
& r1(X0,X33)
& ~ p3(X33)
& ~ p4(X33)
& ? [X34] : r1(X33,X34)
& sP0(X33) ) )
& ( ? [X35] :
( ! [X36] :
( ! [X37] :
( p2(X37)
| ~ r1(X36,X37)
| p1(X37)
| ! [X38] : ~ r1(X37,X38) )
| ~ r1(X35,X36)
| ( ~ p2(X36)
& ? [X39] : r1(X36,X39)
& ~ p1(X36) ) )
& ? [X40] : r1(X35,X40)
& r1(X0,X35)
& ~ p2(X35)
& ~ p1(X35) )
| p2(X0)
| ! [X41] : ~ r1(X0,X41)
| p1(X0) )
& ? [X42] :
( r1(X0,X42)
& ~ p1(X42) ) )
=> ( ! [X1] :
( p3(X1)
| ? [X2] :
( p3(X2)
& r1(X1,X2)
& ? [X3] :
( r1(X2,X3)
& ~ p3(X3) ) )
| ~ r1(sK28,X1) )
& ( p1(sK28)
| ? [X4] :
( ~ p1(X4)
& ? [X5] : r1(X4,X5)
& ! [X6] :
( ! [X7] :
( ! [X8] : ~ r1(X7,X8)
| ~ r1(X6,X7)
| p1(X7) )
| ~ r1(X4,X6)
| ( ? [X9] : r1(X6,X9)
& ~ p1(X6) ) )
& r1(sK28,X4) )
| ! [X10] : ~ r1(sK28,X10) )
& ! [X11] :
( p1(X11)
| ? [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
& p1(X12)
& r1(X11,X12) )
| ~ r1(sK28,X11) )
& ! [X14] :
( ~ r1(sK28,X14)
| ? [X15] :
( p2(X15)
& r1(X14,X15)
& ? [X16] :
( ~ p2(X16)
& r1(X15,X16) ) )
| p2(X14) )
& ? [X17] :
( ~ p2(X17)
& r1(sK28,X17) )
& ( ? [X18] :
( ( ( ! [X19] :
( ! [X20] :
( ~ r1(X19,X20)
| p2(X20) )
| ~ p2(X19)
| ~ r1(X18,X19) )
& ~ p2(X18) )
| sP6(X18) )
& ! [X21] :
( ~ r1(X18,X21)
| sP4(X21)
| ( ! [X22] :
( ~ r1(X21,X22)
| ~ p2(X22)
| ! [X23] :
( ~ r1(X22,X23)
| p2(X23) ) )
& ~ p2(X21) )
| sP5(X21) )
& r1(sK28,X18) )
| sP7(sK28) )
& ( p3(sK28)
| p1(sK28)
| p2(sK28)
| ? [X24] :
( sP1(X24)
& ? [X25] : r1(X24,X25)
& ~ p3(X24)
& ~ p2(X24)
& ~ p1(X24)
& r1(sK28,X24) )
| ! [X26] : ~ r1(sK28,X26) )
& ! [X27] :
( ? [X28] :
( r1(X27,X28)
& ~ p2(X28)
& ! [X29] :
( ~ p2(X29)
| ~ r1(X28,X29)
| ! [X30] :
( ~ r1(X29,X30)
| p2(X30) ) ) )
| p2(X27)
| ~ r1(sK28,X27) )
& ? [X31] :
( r1(sK28,X31)
& ~ p3(X31) )
& ( p1(sK28)
| p2(sK28)
| ! [X32] : ~ r1(sK28,X32)
| p3(sK28)
| p4(sK28)
| ? [X33] :
( ~ p2(X33)
& ~ p1(X33)
& r1(sK28,X33)
& ~ p3(X33)
& ~ p4(X33)
& ? [X34] : r1(X33,X34)
& sP0(X33) ) )
& ( ? [X35] :
( ! [X36] :
( ! [X37] :
( p2(X37)
| ~ r1(X36,X37)
| p1(X37)
| ! [X38] : ~ r1(X37,X38) )
| ~ r1(X35,X36)
| ( ~ p2(X36)
& ? [X39] : r1(X36,X39)
& ~ p1(X36) ) )
& ? [X40] : r1(X35,X40)
& r1(sK28,X35)
& ~ p2(X35)
& ~ p1(X35) )
| p2(sK28)
| ! [X41] : ~ r1(sK28,X41)
| p1(sK28) )
& ? [X42] :
( r1(sK28,X42)
& ~ p1(X42) ) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
! [X1] :
( ? [X2] :
( p3(X2)
& r1(X1,X2)
& ? [X3] :
( r1(X2,X3)
& ~ p3(X3) ) )
=> ( p3(sK29(X1))
& r1(X1,sK29(X1))
& ? [X3] :
( r1(sK29(X1),X3)
& ~ p3(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
! [X1] :
( ? [X3] :
( r1(sK29(X1),X3)
& ~ p3(X3) )
=> ( r1(sK29(X1),sK30(X1))
& ~ p3(sK30(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
( ? [X4] :
( ~ p1(X4)
& ? [X5] : r1(X4,X5)
& ! [X6] :
( ! [X7] :
( ! [X8] : ~ r1(X7,X8)
| ~ r1(X6,X7)
| p1(X7) )
| ~ r1(X4,X6)
| ( ? [X9] : r1(X6,X9)
& ~ p1(X6) ) )
& r1(sK28,X4) )
=> ( ~ p1(sK31)
& ? [X5] : r1(sK31,X5)
& ! [X6] :
( ! [X7] :
( ! [X8] : ~ r1(X7,X8)
| ~ r1(X6,X7)
| p1(X7) )
| ~ r1(sK31,X6)
| ( ? [X9] : r1(X6,X9)
& ~ p1(X6) ) )
& r1(sK28,sK31) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
( ? [X5] : r1(sK31,X5)
=> r1(sK31,sK32) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
! [X6] :
( ? [X9] : r1(X6,X9)
=> r1(X6,sK33(X6)) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X11] :
( ? [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
& p1(X12)
& r1(X11,X12) )
=> ( ? [X13] :
( ~ p1(X13)
& r1(sK34(X11),X13) )
& p1(sK34(X11))
& r1(X11,sK34(X11)) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X11] :
( ? [X13] :
( ~ p1(X13)
& r1(sK34(X11),X13) )
=> ( ~ p1(sK35(X11))
& r1(sK34(X11),sK35(X11)) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X14] :
( ? [X15] :
( p2(X15)
& r1(X14,X15)
& ? [X16] :
( ~ p2(X16)
& r1(X15,X16) ) )
=> ( p2(sK36(X14))
& r1(X14,sK36(X14))
& ? [X16] :
( ~ p2(X16)
& r1(sK36(X14),X16) ) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
! [X14] :
( ? [X16] :
( ~ p2(X16)
& r1(sK36(X14),X16) )
=> ( ~ p2(sK37(X14))
& r1(sK36(X14),sK37(X14)) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
( ? [X17] :
( ~ p2(X17)
& r1(sK28,X17) )
=> ( ~ p2(sK38)
& r1(sK28,sK38) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
( ? [X18] :
( ( ( ! [X19] :
( ! [X20] :
( ~ r1(X19,X20)
| p2(X20) )
| ~ p2(X19)
| ~ r1(X18,X19) )
& ~ p2(X18) )
| sP6(X18) )
& ! [X21] :
( ~ r1(X18,X21)
| sP4(X21)
| ( ! [X22] :
( ~ r1(X21,X22)
| ~ p2(X22)
| ! [X23] :
( ~ r1(X22,X23)
| p2(X23) ) )
& ~ p2(X21) )
| sP5(X21) )
& r1(sK28,X18) )
=> ( ( ( ! [X19] :
( ! [X20] :
( ~ r1(X19,X20)
| p2(X20) )
| ~ p2(X19)
| ~ r1(sK39,X19) )
& ~ p2(sK39) )
| sP6(sK39) )
& ! [X21] :
( ~ r1(sK39,X21)
| sP4(X21)
| ( ! [X22] :
( ~ r1(X21,X22)
| ~ p2(X22)
| ! [X23] :
( ~ r1(X22,X23)
| p2(X23) ) )
& ~ p2(X21) )
| sP5(X21) )
& r1(sK28,sK39) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
( ? [X24] :
( sP1(X24)
& ? [X25] : r1(X24,X25)
& ~ p3(X24)
& ~ p2(X24)
& ~ p1(X24)
& r1(sK28,X24) )
=> ( sP1(sK40)
& ? [X25] : r1(sK40,X25)
& ~ p3(sK40)
& ~ p2(sK40)
& ~ p1(sK40)
& r1(sK28,sK40) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
( ? [X25] : r1(sK40,X25)
=> r1(sK40,sK41) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X27] :
( ? [X28] :
( r1(X27,X28)
& ~ p2(X28)
& ! [X29] :
( ~ p2(X29)
| ~ r1(X28,X29)
| ! [X30] :
( ~ r1(X29,X30)
| p2(X30) ) ) )
=> ( r1(X27,sK42(X27))
& ~ p2(sK42(X27))
& ! [X29] :
( ~ p2(X29)
| ~ r1(sK42(X27),X29)
| ! [X30] :
( ~ r1(X29,X30)
| p2(X30) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
( ? [X31] :
( r1(sK28,X31)
& ~ p3(X31) )
=> ( r1(sK28,sK43)
& ~ p3(sK43) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
( ? [X33] :
( ~ p2(X33)
& ~ p1(X33)
& r1(sK28,X33)
& ~ p3(X33)
& ~ p4(X33)
& ? [X34] : r1(X33,X34)
& sP0(X33) )
=> ( ~ p2(sK44)
& ~ p1(sK44)
& r1(sK28,sK44)
& ~ p3(sK44)
& ~ p4(sK44)
& ? [X34] : r1(sK44,X34)
& sP0(sK44) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
( ? [X34] : r1(sK44,X34)
=> r1(sK44,sK45) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
( ? [X35] :
( ! [X36] :
( ! [X37] :
( p2(X37)
| ~ r1(X36,X37)
| p1(X37)
| ! [X38] : ~ r1(X37,X38) )
| ~ r1(X35,X36)
| ( ~ p2(X36)
& ? [X39] : r1(X36,X39)
& ~ p1(X36) ) )
& ? [X40] : r1(X35,X40)
& r1(sK28,X35)
& ~ p2(X35)
& ~ p1(X35) )
=> ( ! [X36] :
( ! [X37] :
( p2(X37)
| ~ r1(X36,X37)
| p1(X37)
| ! [X38] : ~ r1(X37,X38) )
| ~ r1(sK46,X36)
| ( ~ p2(X36)
& ? [X39] : r1(X36,X39)
& ~ p1(X36) ) )
& ? [X40] : r1(sK46,X40)
& r1(sK28,sK46)
& ~ p2(sK46)
& ~ p1(sK46) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X36] :
( ? [X39] : r1(X36,X39)
=> r1(X36,sK47(X36)) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
( ? [X40] : r1(sK46,X40)
=> r1(sK46,sK48) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
( ? [X42] :
( r1(sK28,X42)
& ~ p1(X42) )
=> ( r1(sK28,sK49)
& ~ p1(sK49) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
? [X0] :
( ! [X1] :
( p3(X1)
| ? [X2] :
( p3(X2)
& r1(X1,X2)
& ? [X3] :
( r1(X2,X3)
& ~ p3(X3) ) )
| ~ r1(X0,X1) )
& ( p1(X0)
| ? [X4] :
( ~ p1(X4)
& ? [X5] : r1(X4,X5)
& ! [X6] :
( ! [X7] :
( ! [X8] : ~ r1(X7,X8)
| ~ r1(X6,X7)
| p1(X7) )
| ~ r1(X4,X6)
| ( ? [X9] : r1(X6,X9)
& ~ p1(X6) ) )
& r1(X0,X4) )
| ! [X10] : ~ r1(X0,X10) )
& ! [X11] :
( p1(X11)
| ? [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
& p1(X12)
& r1(X11,X12) )
| ~ r1(X0,X11) )
& ! [X14] :
( ~ r1(X0,X14)
| ? [X15] :
( p2(X15)
& r1(X14,X15)
& ? [X16] :
( ~ p2(X16)
& r1(X15,X16) ) )
| p2(X14) )
& ? [X17] :
( ~ p2(X17)
& r1(X0,X17) )
& ( ? [X18] :
( ( ( ! [X19] :
( ! [X20] :
( ~ r1(X19,X20)
| p2(X20) )
| ~ p2(X19)
| ~ r1(X18,X19) )
& ~ p2(X18) )
| sP6(X18) )
& ! [X21] :
( ~ r1(X18,X21)
| sP4(X21)
| ( ! [X22] :
( ~ r1(X21,X22)
| ~ p2(X22)
| ! [X23] :
( ~ r1(X22,X23)
| p2(X23) ) )
& ~ p2(X21) )
| sP5(X21) )
& r1(X0,X18) )
| sP7(X0) )
& ( p3(X0)
| p1(X0)
| p2(X0)
| ? [X24] :
( sP1(X24)
& ? [X25] : r1(X24,X25)
& ~ p3(X24)
& ~ p2(X24)
& ~ p1(X24)
& r1(X0,X24) )
| ! [X26] : ~ r1(X0,X26) )
& ! [X27] :
( ? [X28] :
( r1(X27,X28)
& ~ p2(X28)
& ! [X29] :
( ~ p2(X29)
| ~ r1(X28,X29)
| ! [X30] :
( ~ r1(X29,X30)
| p2(X30) ) ) )
| p2(X27)
| ~ r1(X0,X27) )
& ? [X31] :
( r1(X0,X31)
& ~ p3(X31) )
& ( p1(X0)
| p2(X0)
| ! [X32] : ~ r1(X0,X32)
| p3(X0)
| p4(X0)
| ? [X33] :
( ~ p2(X33)
& ~ p1(X33)
& r1(X0,X33)
& ~ p3(X33)
& ~ p4(X33)
& ? [X34] : r1(X33,X34)
& sP0(X33) ) )
& ( ? [X35] :
( ! [X36] :
( ! [X37] :
( p2(X37)
| ~ r1(X36,X37)
| p1(X37)
| ! [X38] : ~ r1(X37,X38) )
| ~ r1(X35,X36)
| ( ~ p2(X36)
& ? [X39] : r1(X36,X39)
& ~ p1(X36) ) )
& ? [X40] : r1(X35,X40)
& r1(X0,X35)
& ~ p2(X35)
& ~ p1(X35) )
| p2(X0)
| ! [X41] : ~ r1(X0,X41)
| p1(X0) )
& ? [X42] :
( r1(X0,X42)
& ~ p1(X42) ) ),
inference(rectify,[],[f16]) ).
fof(f16,plain,
? [X0] :
( ! [X1] :
( p3(X1)
| ? [X2] :
( p3(X2)
& r1(X1,X2)
& ? [X3] :
( r1(X2,X3)
& ~ p3(X3) ) )
| ~ r1(X0,X1) )
& ( p1(X0)
| ? [X72] :
( ~ p1(X72)
& ? [X77] : r1(X72,X77)
& ! [X73] :
( ! [X74] :
( ! [X75] : ~ r1(X74,X75)
| ~ r1(X73,X74)
| p1(X74) )
| ~ r1(X72,X73)
| ( ? [X76] : r1(X73,X76)
& ~ p1(X73) ) )
& r1(X0,X72) )
| ! [X78] : ~ r1(X0,X78) )
& ! [X81] :
( p1(X81)
| ? [X82] :
( ? [X83] :
( ~ p1(X83)
& r1(X82,X83) )
& p1(X82)
& r1(X81,X82) )
| ~ r1(X0,X81) )
& ! [X4] :
( ~ r1(X0,X4)
| ? [X5] :
( p2(X5)
& r1(X4,X5)
& ? [X6] :
( ~ p2(X6)
& r1(X5,X6) ) )
| p2(X4) )
& ? [X79] :
( ~ p2(X79)
& r1(X0,X79) )
& ( ? [X21] :
( ( ( ! [X49] :
( ! [X50] :
( ~ r1(X49,X50)
| p2(X50) )
| ~ p2(X49)
| ~ r1(X21,X49) )
& ~ p2(X21) )
| sP6(X21) )
& ! [X22] :
( ~ r1(X21,X22)
| sP4(X22)
| ( ! [X30] :
( ~ r1(X22,X30)
| ~ p2(X30)
| ! [X31] :
( ~ r1(X30,X31)
| p2(X31) ) )
& ~ p2(X22) )
| sP5(X22) )
& r1(X0,X21) )
| sP7(X0) )
& ( p3(X0)
| p1(X0)
| p2(X0)
| ? [X65] :
( sP1(X65)
& ? [X70] : r1(X65,X70)
& ~ p3(X65)
& ~ p2(X65)
& ~ p1(X65)
& r1(X0,X65) )
| ! [X71] : ~ r1(X0,X71) )
& ! [X8] :
( ? [X9] :
( r1(X8,X9)
& ~ p2(X9)
& ! [X10] :
( ~ p2(X10)
| ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| p2(X11) ) ) )
| p2(X8)
| ~ r1(X0,X8) )
& ? [X80] :
( r1(X0,X80)
& ~ p3(X80) )
& ( p1(X0)
| p2(X0)
| ! [X51] : ~ r1(X0,X51)
| p3(X0)
| p4(X0)
| ? [X52] :
( ~ p2(X52)
& ~ p1(X52)
& r1(X0,X52)
& ~ p3(X52)
& ~ p4(X52)
& ? [X53] : r1(X52,X53)
& sP0(X52) ) )
& ( ? [X59] :
( ! [X61] :
( ! [X62] :
( p2(X62)
| ~ r1(X61,X62)
| p1(X62)
| ! [X63] : ~ r1(X62,X63) )
| ~ r1(X59,X61)
| ( ~ p2(X61)
& ? [X64] : r1(X61,X64)
& ~ p1(X61) ) )
& ? [X60] : r1(X59,X60)
& r1(X0,X59)
& ~ p2(X59)
& ~ p1(X59) )
| p2(X0)
| ! [X58] : ~ r1(X0,X58)
| p1(X0) )
& ? [X7] :
( r1(X0,X7)
& ~ p1(X7) ) ),
inference(definition_folding,[],[f7,f15,f14,f13,f12,f11,f10,f9,f8]) ).
fof(f8,plain,
! [X52] :
( ! [X54] :
( ~ r1(X52,X54)
| ! [X55] :
( p1(X55)
| p2(X55)
| p3(X55)
| p4(X55)
| ! [X56] : ~ r1(X55,X56)
| ~ r1(X54,X55) )
| ( ? [X57] : r1(X54,X57)
& ~ p4(X54)
& ~ p2(X54)
& ~ p1(X54)
& ~ p3(X54) ) )
| ~ sP0(X52) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f9,plain,
! [X65] :
( ! [X66] :
( ~ r1(X65,X66)
| ( ? [X67] : r1(X66,X67)
& ~ p3(X66)
& ~ p2(X66)
& ~ p1(X66) )
| ! [X68] :
( ! [X69] : ~ r1(X68,X69)
| p3(X68)
| ~ r1(X66,X68)
| p1(X68)
| p2(X68) ) )
| ~ sP1(X65) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f10,plain,
! [X0] :
( ! [X17] :
( ~ r1(X0,X17)
| ! [X18] :
( ? [X19] :
( p2(X19)
& r1(X18,X19)
& ? [X20] :
( ~ p2(X20)
& r1(X19,X20) ) )
| ~ r1(X17,X18)
| p2(X18) ) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f11,plain,
! [X32] :
( ! [X36] :
( ~ r1(X32,X36)
| ! [X37] :
( p2(X37)
| ~ r1(X36,X37)
| ? [X38] :
( ? [X39] :
( ~ p2(X39)
& r1(X38,X39) )
& r1(X37,X38)
& p2(X38) ) ) )
| ~ sP3(X32) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f12,plain,
! [X22] :
( ( ! [X23] :
( p2(X23)
| ~ r1(X22,X23)
| ? [X24] :
( ? [X25] :
( ~ p2(X25)
& r1(X24,X25) )
& r1(X23,X24)
& p2(X24) ) )
& ? [X26] :
( r1(X22,X26)
& ? [X27] :
( ! [X28] :
( ~ p2(X28)
| ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| p2(X29) ) )
& ~ p2(X27)
& r1(X26,X27) ) ) )
| ~ sP4(X22) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f13,plain,
! [X22] :
( ! [X32] :
( ( ( p2(X32)
| ? [X40] :
( ? [X41] :
( ~ p2(X41)
& r1(X40,X41) )
& r1(X32,X40)
& p2(X40) ) )
& ( ? [X33] :
( r1(X32,X33)
& ~ p2(X33)
& ! [X34] :
( ~ p2(X34)
| ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35) ) ) )
| sP3(X32) ) )
| ~ r1(X22,X32) )
| ~ sP5(X22) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f14,plain,
! [X21] :
( ( ! [X42] :
( ? [X43] :
( ? [X44] :
( ~ p2(X44)
& r1(X43,X44) )
& p2(X43)
& r1(X42,X43) )
| p2(X42)
| ~ r1(X21,X42) )
& ? [X45] :
( r1(X21,X45)
& ? [X46] :
( ! [X47] :
( ! [X48] :
( ~ r1(X47,X48)
| p2(X48) )
| ~ p2(X47)
| ~ r1(X46,X47) )
& ~ p2(X46)
& r1(X45,X46) ) ) )
| ~ sP6(X21) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f15,plain,
! [X0] :
( ( ( ? [X12] :
( r1(X0,X12)
& p2(X12)
& ? [X13] :
( ~ p2(X13)
& r1(X12,X13) ) )
| p2(X0) )
& ( sP2(X0)
| ? [X14] :
( ~ p2(X14)
& ! [X15] :
( ~ p2(X15)
| ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p2(X16) ) )
& r1(X0,X14) ) ) )
| ~ sP7(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f7,plain,
? [X0] :
( ! [X1] :
( p3(X1)
| ? [X2] :
( p3(X2)
& r1(X1,X2)
& ? [X3] :
( r1(X2,X3)
& ~ p3(X3) ) )
| ~ r1(X0,X1) )
& ( p1(X0)
| ? [X72] :
( ~ p1(X72)
& ? [X77] : r1(X72,X77)
& ! [X73] :
( ! [X74] :
( ! [X75] : ~ r1(X74,X75)
| ~ r1(X73,X74)
| p1(X74) )
| ~ r1(X72,X73)
| ( ? [X76] : r1(X73,X76)
& ~ p1(X73) ) )
& r1(X0,X72) )
| ! [X78] : ~ r1(X0,X78) )
& ! [X81] :
( p1(X81)
| ? [X82] :
( ? [X83] :
( ~ p1(X83)
& r1(X82,X83) )
& p1(X82)
& r1(X81,X82) )
| ~ r1(X0,X81) )
& ! [X4] :
( ~ r1(X0,X4)
| ? [X5] :
( p2(X5)
& r1(X4,X5)
& ? [X6] :
( ~ p2(X6)
& r1(X5,X6) ) )
| p2(X4) )
& ? [X79] :
( ~ p2(X79)
& r1(X0,X79) )
& ( ? [X21] :
( ( ( ! [X49] :
( ! [X50] :
( ~ r1(X49,X50)
| p2(X50) )
| ~ p2(X49)
| ~ r1(X21,X49) )
& ~ p2(X21) )
| ( ! [X42] :
( ? [X43] :
( ? [X44] :
( ~ p2(X44)
& r1(X43,X44) )
& p2(X43)
& r1(X42,X43) )
| p2(X42)
| ~ r1(X21,X42) )
& ? [X45] :
( r1(X21,X45)
& ? [X46] :
( ! [X47] :
( ! [X48] :
( ~ r1(X47,X48)
| p2(X48) )
| ~ p2(X47)
| ~ r1(X46,X47) )
& ~ p2(X46)
& r1(X45,X46) ) ) ) )
& ! [X22] :
( ~ r1(X21,X22)
| ( ! [X23] :
( p2(X23)
| ~ r1(X22,X23)
| ? [X24] :
( ? [X25] :
( ~ p2(X25)
& r1(X24,X25) )
& r1(X23,X24)
& p2(X24) ) )
& ? [X26] :
( r1(X22,X26)
& ? [X27] :
( ! [X28] :
( ~ p2(X28)
| ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| p2(X29) ) )
& ~ p2(X27)
& r1(X26,X27) ) ) )
| ( ! [X30] :
( ~ r1(X22,X30)
| ~ p2(X30)
| ! [X31] :
( ~ r1(X30,X31)
| p2(X31) ) )
& ~ p2(X22) )
| ! [X32] :
( ( ( p2(X32)
| ? [X40] :
( ? [X41] :
( ~ p2(X41)
& r1(X40,X41) )
& r1(X32,X40)
& p2(X40) ) )
& ( ? [X33] :
( r1(X32,X33)
& ~ p2(X33)
& ! [X34] :
( ~ p2(X34)
| ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35) ) ) )
| ! [X36] :
( ~ r1(X32,X36)
| ! [X37] :
( p2(X37)
| ~ r1(X36,X37)
| ? [X38] :
( ? [X39] :
( ~ p2(X39)
& r1(X38,X39) )
& r1(X37,X38)
& p2(X38) ) ) ) ) )
| ~ r1(X22,X32) ) )
& r1(X0,X21) )
| ( ( ? [X12] :
( r1(X0,X12)
& p2(X12)
& ? [X13] :
( ~ p2(X13)
& r1(X12,X13) ) )
| p2(X0) )
& ( ! [X17] :
( ~ r1(X0,X17)
| ! [X18] :
( ? [X19] :
( p2(X19)
& r1(X18,X19)
& ? [X20] :
( ~ p2(X20)
& r1(X19,X20) ) )
| ~ r1(X17,X18)
| p2(X18) ) )
| ? [X14] :
( ~ p2(X14)
& ! [X15] :
( ~ p2(X15)
| ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p2(X16) ) )
& r1(X0,X14) ) ) ) )
& ( p3(X0)
| p1(X0)
| p2(X0)
| ? [X65] :
( ! [X66] :
( ~ r1(X65,X66)
| ( ? [X67] : r1(X66,X67)
& ~ p3(X66)
& ~ p2(X66)
& ~ p1(X66) )
| ! [X68] :
( ! [X69] : ~ r1(X68,X69)
| p3(X68)
| ~ r1(X66,X68)
| p1(X68)
| p2(X68) ) )
& ? [X70] : r1(X65,X70)
& ~ p3(X65)
& ~ p2(X65)
& ~ p1(X65)
& r1(X0,X65) )
| ! [X71] : ~ r1(X0,X71) )
& ! [X8] :
( ? [X9] :
( r1(X8,X9)
& ~ p2(X9)
& ! [X10] :
( ~ p2(X10)
| ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| p2(X11) ) ) )
| p2(X8)
| ~ r1(X0,X8) )
& ? [X80] :
( r1(X0,X80)
& ~ p3(X80) )
& ( p1(X0)
| p2(X0)
| ! [X51] : ~ r1(X0,X51)
| p3(X0)
| p4(X0)
| ? [X52] :
( ~ p2(X52)
& ~ p1(X52)
& r1(X0,X52)
& ~ p3(X52)
& ~ p4(X52)
& ? [X53] : r1(X52,X53)
& ! [X54] :
( ~ r1(X52,X54)
| ! [X55] :
( p1(X55)
| p2(X55)
| p3(X55)
| p4(X55)
| ! [X56] : ~ r1(X55,X56)
| ~ r1(X54,X55) )
| ( ? [X57] : r1(X54,X57)
& ~ p4(X54)
& ~ p2(X54)
& ~ p1(X54)
& ~ p3(X54) ) ) ) )
& ( ? [X59] :
( ! [X61] :
( ! [X62] :
( p2(X62)
| ~ r1(X61,X62)
| p1(X62)
| ! [X63] : ~ r1(X62,X63) )
| ~ r1(X59,X61)
| ( ~ p2(X61)
& ? [X64] : r1(X61,X64)
& ~ p1(X61) ) )
& ? [X60] : r1(X59,X60)
& r1(X0,X59)
& ~ p2(X59)
& ~ p1(X59) )
| p2(X0)
| ! [X58] : ~ r1(X0,X58)
| p1(X0) )
& ? [X7] :
( r1(X0,X7)
& ~ p1(X7) ) ),
inference(flattening,[],[f6]) ).
fof(f6,plain,
? [X0] :
( ? [X79] :
( ~ p2(X79)
& r1(X0,X79) )
& ? [X80] :
( r1(X0,X80)
& ~ p3(X80) )
& ? [X7] :
( r1(X0,X7)
& ~ p1(X7) )
& ( p1(X0)
| p2(X0)
| ! [X51] : ~ r1(X0,X51)
| p3(X0)
| p4(X0)
| ? [X52] :
( ~ p2(X52)
& ~ p1(X52)
& r1(X0,X52)
& ~ p3(X52)
& ~ p4(X52)
& ? [X53] : r1(X52,X53)
& ! [X54] :
( ~ r1(X52,X54)
| ! [X55] :
( p1(X55)
| p2(X55)
| p3(X55)
| p4(X55)
| ! [X56] : ~ r1(X55,X56)
| ~ r1(X54,X55) )
| ( ? [X57] : r1(X54,X57)
& ~ p4(X54)
& ~ p2(X54)
& ~ p1(X54)
& ~ p3(X54) ) ) ) )
& ( p3(X0)
| p1(X0)
| p2(X0)
| ? [X65] :
( ! [X66] :
( ~ r1(X65,X66)
| ( ? [X67] : r1(X66,X67)
& ~ p3(X66)
& ~ p2(X66)
& ~ p1(X66) )
| ! [X68] :
( ! [X69] : ~ r1(X68,X69)
| p3(X68)
| ~ r1(X66,X68)
| p1(X68)
| p2(X68) ) )
& ? [X70] : r1(X65,X70)
& ~ p3(X65)
& ~ p2(X65)
& ~ p1(X65)
& r1(X0,X65) )
| ! [X71] : ~ r1(X0,X71) )
& ( ? [X21] :
( r1(X0,X21)
& ! [X22] :
( ( ! [X23] :
( p2(X23)
| ~ r1(X22,X23)
| ? [X24] :
( ? [X25] :
( ~ p2(X25)
& r1(X24,X25) )
& r1(X23,X24)
& p2(X24) ) )
& ? [X26] :
( r1(X22,X26)
& ? [X27] :
( ! [X28] :
( ~ p2(X28)
| ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| p2(X29) ) )
& ~ p2(X27)
& r1(X26,X27) ) ) )
| ( ! [X30] :
( ~ r1(X22,X30)
| ~ p2(X30)
| ! [X31] :
( ~ r1(X30,X31)
| p2(X31) ) )
& ~ p2(X22) )
| ~ r1(X21,X22)
| ! [X32] :
( ( ( p2(X32)
| ? [X40] :
( ? [X41] :
( ~ p2(X41)
& r1(X40,X41) )
& r1(X32,X40)
& p2(X40) ) )
& ( ? [X33] :
( r1(X32,X33)
& ~ p2(X33)
& ! [X34] :
( ~ p2(X34)
| ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35) ) ) )
| ! [X36] :
( ~ r1(X32,X36)
| ! [X37] :
( p2(X37)
| ~ r1(X36,X37)
| ? [X38] :
( ? [X39] :
( ~ p2(X39)
& r1(X38,X39) )
& r1(X37,X38)
& p2(X38) ) ) ) ) )
| ~ r1(X22,X32) ) )
& ( ( ! [X49] :
( ! [X50] :
( ~ r1(X49,X50)
| p2(X50) )
| ~ p2(X49)
| ~ r1(X21,X49) )
& ~ p2(X21) )
| ( ! [X42] :
( ? [X43] :
( ? [X44] :
( ~ p2(X44)
& r1(X43,X44) )
& p2(X43)
& r1(X42,X43) )
| p2(X42)
| ~ r1(X21,X42) )
& ? [X45] :
( r1(X21,X45)
& ? [X46] :
( ! [X47] :
( ! [X48] :
( ~ r1(X47,X48)
| p2(X48) )
| ~ p2(X47)
| ~ r1(X46,X47) )
& ~ p2(X46)
& r1(X45,X46) ) ) ) ) )
| ( ( ? [X12] :
( r1(X0,X12)
& p2(X12)
& ? [X13] :
( ~ p2(X13)
& r1(X12,X13) ) )
| p2(X0) )
& ( ! [X17] :
( ~ r1(X0,X17)
| ! [X18] :
( ? [X19] :
( p2(X19)
& r1(X18,X19)
& ? [X20] :
( ~ p2(X20)
& r1(X19,X20) ) )
| ~ r1(X17,X18)
| p2(X18) ) )
| ? [X14] :
( ~ p2(X14)
& ! [X15] :
( ~ p2(X15)
| ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p2(X16) ) )
& r1(X0,X14) ) ) ) )
& ( p1(X0)
| ? [X72] :
( ~ p1(X72)
& ? [X77] : r1(X72,X77)
& ! [X73] :
( ! [X74] :
( ! [X75] : ~ r1(X74,X75)
| ~ r1(X73,X74)
| p1(X74) )
| ~ r1(X72,X73)
| ( ? [X76] : r1(X73,X76)
& ~ p1(X73) ) )
& r1(X0,X72) )
| ! [X78] : ~ r1(X0,X78) )
& ( ? [X59] :
( ! [X61] :
( ! [X62] :
( p2(X62)
| ~ r1(X61,X62)
| p1(X62)
| ! [X63] : ~ r1(X62,X63) )
| ~ r1(X59,X61)
| ( ~ p2(X61)
& ? [X64] : r1(X61,X64)
& ~ p1(X61) ) )
& ? [X60] : r1(X59,X60)
& r1(X0,X59)
& ~ p2(X59)
& ~ p1(X59) )
| p2(X0)
| ! [X58] : ~ r1(X0,X58)
| p1(X0) )
& ! [X8] :
( ? [X9] :
( r1(X8,X9)
& ~ p2(X9)
& ! [X10] :
( ~ p2(X10)
| ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| p2(X11) ) ) )
| p2(X8)
| ~ r1(X0,X8) )
& ! [X1] :
( p3(X1)
| ? [X2] :
( p3(X2)
& r1(X1,X2)
& ? [X3] :
( r1(X2,X3)
& ~ p3(X3) ) )
| ~ r1(X0,X1) )
& ! [X4] :
( ~ r1(X0,X4)
| ? [X5] :
( p2(X5)
& r1(X4,X5)
& ? [X6] :
( ~ p2(X6)
& r1(X5,X6) ) )
| p2(X4) )
& ! [X81] :
( p1(X81)
| ? [X82] :
( ? [X83] :
( ~ p1(X83)
& r1(X82,X83) )
& p1(X82)
& r1(X81,X82) )
| ~ r1(X0,X81) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
? [X0] :
~ ( ! [X79] :
( p2(X79)
| ~ r1(X0,X79) )
| ! [X80] :
( ~ r1(X0,X80)
| p3(X80) )
| ! [X7] :
( p1(X7)
| ~ r1(X0,X7) )
| ~ ( ( p1(X0)
| ! [X51] : ~ r1(X0,X51)
| p4(X0)
| p3(X0)
| p2(X0)
| ~ ! [X52] :
( ! [X53] : ~ r1(X52,X53)
| p4(X52)
| p2(X52)
| ~ ! [X54] :
( ~ ( p4(X54)
| p1(X54)
| p3(X54)
| ! [X57] : ~ r1(X54,X57)
| p2(X54) )
| ~ r1(X52,X54)
| ! [X55] :
( p1(X55)
| p2(X55)
| p3(X55)
| p4(X55)
| ! [X56] : ~ r1(X55,X56)
| ~ r1(X54,X55) ) )
| ~ r1(X0,X52)
| p1(X52)
| p3(X52) ) )
& ( p2(X0)
| ! [X71] : ~ r1(X0,X71)
| p3(X0)
| ~ ! [X65] :
( ~ r1(X0,X65)
| p2(X65)
| p1(X65)
| ~ ! [X66] :
( ~ r1(X65,X66)
| ! [X68] :
( ! [X69] : ~ r1(X68,X69)
| p3(X68)
| ~ r1(X66,X68)
| p1(X68)
| p2(X68) )
| ~ ( p3(X66)
| p2(X66)
| p1(X66)
| ! [X67] : ~ r1(X66,X67) ) )
| p3(X65)
| ! [X70] : ~ r1(X65,X70) )
| p1(X0) )
& ( ~ ! [X21] :
( ~ r1(X0,X21)
| ~ ! [X22] :
( ~ ( ( ~ ! [X23] :
( ~ r1(X22,X23)
| p2(X23)
| ~ ! [X24] :
( ! [X25] :
( ~ r1(X24,X25)
| p2(X25) )
| ~ r1(X23,X24)
| ~ p2(X24) ) )
| ! [X26] :
( ! [X27] :
( ~ r1(X26,X27)
| ~ ! [X28] :
( ~ p2(X28)
| ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| p2(X29) ) )
| p2(X27) )
| ~ r1(X22,X26) ) )
& ( p2(X22)
| ~ ! [X30] :
( ~ r1(X22,X30)
| ~ p2(X30)
| ! [X31] :
( ~ r1(X30,X31)
| p2(X31) ) ) ) )
| ~ r1(X21,X22)
| ! [X32] :
( ( ( ~ ! [X33] :
( p2(X33)
| ~ ! [X34] :
( ~ p2(X34)
| ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35) ) )
| ~ r1(X32,X33) )
| ! [X36] :
( ~ r1(X32,X36)
| ! [X37] :
( p2(X37)
| ~ r1(X36,X37)
| ~ ! [X38] :
( ~ p2(X38)
| ~ r1(X37,X38)
| ! [X39] :
( ~ r1(X38,X39)
| p2(X39) ) ) ) ) )
& ( ~ ! [X40] :
( ~ r1(X32,X40)
| ~ p2(X40)
| ! [X41] :
( ~ r1(X40,X41)
| p2(X41) ) )
| p2(X32) ) )
| ~ r1(X22,X32) ) )
| ( ( p2(X21)
| ~ ! [X49] :
( ! [X50] :
( ~ r1(X49,X50)
| p2(X50) )
| ~ p2(X49)
| ~ r1(X21,X49) ) )
& ( ~ ! [X42] :
( p2(X42)
| ~ r1(X21,X42)
| ~ ! [X43] :
( ! [X44] :
( p2(X44)
| ~ r1(X43,X44) )
| ~ p2(X43)
| ~ r1(X42,X43) ) )
| ! [X45] :
( ~ r1(X21,X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46)
| ~ ! [X47] :
( ! [X48] :
( ~ r1(X47,X48)
| p2(X48) )
| ~ p2(X47)
| ~ r1(X46,X47) ) ) ) ) ) )
| ( ( p2(X0)
| ~ ! [X12] :
( ~ r1(X0,X12)
| ~ p2(X12)
| ! [X13] :
( ~ r1(X12,X13)
| p2(X13) ) ) )
& ( ! [X17] :
( ~ r1(X0,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ~ ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( p2(X20)
| ~ r1(X19,X20) )
| ~ p2(X19) )
| p2(X18) ) )
| ~ ! [X14] :
( p2(X14)
| ~ ! [X15] :
( ~ p2(X15)
| ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p2(X16) ) )
| ~ r1(X0,X14) ) ) ) )
& ( ! [X78] : ~ r1(X0,X78)
| p1(X0)
| ~ ! [X72] :
( ~ ! [X73] :
( ~ ( p1(X73)
| ! [X76] : ~ r1(X73,X76) )
| ~ r1(X72,X73)
| ! [X74] :
( ! [X75] : ~ r1(X74,X75)
| ~ r1(X73,X74)
| p1(X74) ) )
| p1(X72)
| ! [X77] : ~ r1(X72,X77)
| ~ r1(X0,X72) ) )
& ( p2(X0)
| ~ ! [X59] :
( ~ ! [X61] :
( ! [X62] :
( p2(X62)
| ~ r1(X61,X62)
| p1(X62)
| ! [X63] : ~ r1(X62,X63) )
| ~ r1(X59,X61)
| ~ ( p1(X61)
| p2(X61)
| ! [X64] : ~ r1(X61,X64) ) )
| p2(X59)
| p1(X59)
| ! [X60] : ~ r1(X59,X60)
| ~ r1(X0,X59) )
| p1(X0)
| ! [X58] : ~ r1(X0,X58) )
& ! [X8] :
( ~ r1(X0,X8)
| p2(X8)
| ~ ! [X9] :
( ~ ! [X10] :
( ~ p2(X10)
| ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| p2(X11) ) )
| ~ r1(X8,X9)
| p2(X9) ) ) )
| ~ ! [X1] :
( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| p3(X3) )
| ~ p3(X2) )
| ~ r1(X0,X1)
| p3(X1) )
| ~ ! [X4] :
( ~ r1(X0,X4)
| p2(X4)
| ~ ! [X5] :
( ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ p2(X5)
| ~ r1(X4,X5) ) )
| ~ ! [X81] :
( ~ ! [X82] :
( ~ p1(X82)
| ! [X83] :
( p1(X83)
| ~ r1(X82,X83) )
| ~ r1(X81,X82) )
| p1(X81)
| ~ r1(X0,X81) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ! [X79] :
( p2(X79)
| ~ r1(X0,X79) )
| ! [X80] :
( ~ r1(X0,X80)
| p3(X80) )
| ! [X7] :
( p1(X7)
| ~ r1(X0,X7) )
| ~ ( ( p1(X0)
| ! [X51] : ~ r1(X0,X51)
| p4(X0)
| p3(X0)
| p2(X0)
| ~ ! [X52] :
( ! [X53] : ~ r1(X52,X53)
| p4(X52)
| p2(X52)
| ~ ! [X54] :
( ~ ( p4(X54)
| p1(X54)
| p3(X54)
| ! [X57] : ~ r1(X54,X57)
| p2(X54) )
| ~ r1(X52,X54)
| ! [X55] :
( p1(X55)
| p2(X55)
| p3(X55)
| p4(X55)
| ! [X56] : ~ r1(X55,X56)
| ~ r1(X54,X55) ) )
| ~ r1(X0,X52)
| p1(X52)
| p3(X52) ) )
& ( p2(X0)
| ! [X71] : ~ r1(X0,X71)
| p3(X0)
| ~ ! [X65] :
( ~ r1(X0,X65)
| p2(X65)
| p1(X65)
| ~ ! [X66] :
( ~ r1(X65,X66)
| ! [X68] :
( ! [X69] : ~ r1(X68,X69)
| p3(X68)
| ~ r1(X66,X68)
| p1(X68)
| p2(X68) )
| ~ ( p3(X66)
| p2(X66)
| p1(X66)
| ! [X67] : ~ r1(X66,X67) ) )
| p3(X65)
| ! [X70] : ~ r1(X65,X70) )
| p1(X0) )
& ( ~ ! [X21] :
( ~ r1(X0,X21)
| ~ ! [X22] :
( ~ ( ( ~ ! [X23] :
( ~ r1(X22,X23)
| p2(X23)
| ~ ! [X24] :
( ! [X25] :
( ~ r1(X24,X25)
| p2(X25) )
| ~ r1(X23,X24)
| ~ p2(X24) ) )
| ! [X26] :
( ! [X27] :
( ~ r1(X26,X27)
| ~ ! [X28] :
( ~ p2(X28)
| ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| p2(X29) ) )
| p2(X27) )
| ~ r1(X22,X26) ) )
& ( p2(X22)
| ~ ! [X30] :
( ~ r1(X22,X30)
| ~ p2(X30)
| ! [X31] :
( ~ r1(X30,X31)
| p2(X31) ) ) ) )
| ~ r1(X21,X22)
| ! [X32] :
( ( ( ~ ! [X33] :
( p2(X33)
| ~ ! [X34] :
( ~ p2(X34)
| ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35) ) )
| ~ r1(X32,X33) )
| ! [X36] :
( ~ r1(X32,X36)
| ! [X37] :
( p2(X37)
| ~ r1(X36,X37)
| ~ ! [X38] :
( ~ p2(X38)
| ~ r1(X37,X38)
| ! [X39] :
( ~ r1(X38,X39)
| p2(X39) ) ) ) ) )
& ( ~ ! [X40] :
( ~ r1(X32,X40)
| ~ p2(X40)
| ! [X41] :
( ~ r1(X40,X41)
| p2(X41) ) )
| p2(X32) ) )
| ~ r1(X22,X32) ) )
| ( ( p2(X21)
| ~ ! [X49] :
( ! [X50] :
( ~ r1(X49,X50)
| p2(X50) )
| ~ p2(X49)
| ~ r1(X21,X49) ) )
& ( ~ ! [X42] :
( p2(X42)
| ~ r1(X21,X42)
| ~ ! [X43] :
( ! [X44] :
( p2(X44)
| ~ r1(X43,X44) )
| ~ p2(X43)
| ~ r1(X42,X43) ) )
| ! [X45] :
( ~ r1(X21,X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46)
| ~ ! [X47] :
( ! [X48] :
( ~ r1(X47,X48)
| p2(X48) )
| ~ p2(X47)
| ~ r1(X46,X47) ) ) ) ) ) )
| ( ( p2(X0)
| ~ ! [X12] :
( ~ r1(X0,X12)
| ~ p2(X12)
| ! [X13] :
( ~ r1(X12,X13)
| p2(X13) ) ) )
& ( ! [X17] :
( ~ r1(X0,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ~ ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( p2(X20)
| ~ r1(X19,X20) )
| ~ p2(X19) )
| p2(X18) ) )
| ~ ! [X14] :
( p2(X14)
| ~ ! [X15] :
( ~ p2(X15)
| ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p2(X16) ) )
| ~ r1(X0,X14) ) ) ) )
& ( ! [X78] : ~ r1(X0,X78)
| p1(X0)
| ~ ! [X72] :
( ~ ! [X73] :
( ~ ( p1(X73)
| ! [X76] : ~ r1(X73,X76) )
| ~ r1(X72,X73)
| ! [X74] :
( ! [X75] : ~ r1(X74,X75)
| ~ r1(X73,X74)
| p1(X74) ) )
| p1(X72)
| ! [X77] : ~ r1(X72,X77)
| ~ r1(X0,X72) ) )
& ( p2(X0)
| ~ ! [X59] :
( ~ ! [X61] :
( ! [X62] :
( p2(X62)
| ~ r1(X61,X62)
| p1(X62)
| ! [X63] : ~ r1(X62,X63) )
| ~ r1(X59,X61)
| ~ ( p1(X61)
| p2(X61)
| ! [X64] : ~ r1(X61,X64) ) )
| p2(X59)
| p1(X59)
| ! [X60] : ~ r1(X59,X60)
| ~ r1(X0,X59) )
| p1(X0)
| ! [X58] : ~ r1(X0,X58) )
& ! [X8] :
( ~ r1(X0,X8)
| p2(X8)
| ~ ! [X9] :
( ~ ! [X10] :
( ~ p2(X10)
| ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| p2(X11) ) )
| ~ r1(X8,X9)
| p2(X9) ) ) )
| ~ ! [X1] :
( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| p3(X3) )
| ~ p3(X2) )
| ~ r1(X0,X1)
| p3(X1) )
| ~ ! [X4] :
( ~ r1(X0,X4)
| p2(X4)
| ~ ! [X5] :
( ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ p2(X5)
| ~ r1(X4,X5) ) )
| ~ ! [X81] :
( ~ ! [X82] :
( ~ p1(X82)
| ! [X83] :
( p1(X83)
| ~ r1(X82,X83) )
| ~ r1(X81,X82) )
| p1(X81)
| ~ r1(X0,X81) ) ),
inference(true_and_false_elimination,[],[f3]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ~ r1(X2,X3)
| p3(X3) )
| ~ p3(X2) )
| ~ r1(X0,X1)
| p3(X1) )
| ~ ! [X4] :
( ~ r1(X0,X4)
| p2(X4)
| ~ ! [X5] :
( ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ p2(X5)
| ~ r1(X4,X5) ) )
| ! [X7] :
( p1(X7)
| ~ r1(X0,X7) )
| ~ ( ! [X8] :
( ~ r1(X0,X8)
| p2(X8)
| ~ ! [X9] :
( ~ ! [X10] :
( ~ p2(X10)
| ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| p2(X11) ) )
| ~ r1(X8,X9)
| p2(X9) ) )
& ( ~ ! [X21] :
( ~ r1(X0,X21)
| ~ ! [X22] :
( ~ ( ( ~ ! [X23] :
( ~ r1(X22,X23)
| p2(X23)
| ~ ! [X24] :
( ! [X25] :
( ~ r1(X24,X25)
| p2(X25) )
| ~ r1(X23,X24)
| ~ p2(X24) ) )
| ! [X26] :
( ! [X27] :
( ~ r1(X26,X27)
| ~ ! [X28] :
( ~ p2(X28)
| ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| p2(X29) ) )
| p2(X27) )
| ~ r1(X22,X26) ) )
& ( p2(X22)
| ~ ! [X30] :
( ~ r1(X22,X30)
| ~ p2(X30)
| ! [X31] :
( ~ r1(X30,X31)
| p2(X31) ) ) ) )
| ~ r1(X21,X22)
| ! [X32] :
( ( ( ~ ! [X33] :
( p2(X33)
| ~ ! [X34] :
( ~ p2(X34)
| ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35) ) )
| ~ r1(X32,X33) )
| ! [X36] :
( ~ r1(X32,X36)
| ! [X37] :
( p2(X37)
| ~ r1(X36,X37)
| ~ ! [X38] :
( ~ p2(X38)
| ~ r1(X37,X38)
| ! [X39] :
( ~ r1(X38,X39)
| p2(X39) ) ) ) ) )
& ( ~ ! [X40] :
( ~ r1(X32,X40)
| ~ p2(X40)
| ! [X41] :
( ~ r1(X40,X41)
| p2(X41) ) )
| p2(X32) ) )
| ~ r1(X22,X32) ) )
| ( ( p2(X21)
| ~ ! [X49] :
( ! [X50] :
( ~ r1(X49,X50)
| p2(X50) )
| ~ p2(X49)
| ~ r1(X21,X49) ) )
& ( ~ ! [X42] :
( p2(X42)
| ~ r1(X21,X42)
| ~ ! [X43] :
( ! [X44] :
( p2(X44)
| ~ r1(X43,X44) )
| ~ p2(X43)
| ~ r1(X42,X43) ) )
| ! [X45] :
( ~ r1(X21,X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46)
| ~ ! [X47] :
( ! [X48] :
( ~ r1(X47,X48)
| p2(X48) )
| ~ p2(X47)
| ~ r1(X46,X47) ) ) ) ) ) )
| ( ( p2(X0)
| ~ ! [X12] :
( ~ r1(X0,X12)
| ~ p2(X12)
| ! [X13] :
( ~ r1(X12,X13)
| p2(X13) ) ) )
& ( ! [X17] :
( ~ r1(X0,X17)
| ! [X18] :
( ~ r1(X17,X18)
| ~ ! [X19] :
( ~ r1(X18,X19)
| ! [X20] :
( p2(X20)
| ~ r1(X19,X20) )
| ~ p2(X19) )
| p2(X18) ) )
| ~ ! [X14] :
( p2(X14)
| ~ ! [X15] :
( ~ p2(X15)
| ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p2(X16) ) )
| ~ r1(X0,X14) ) ) ) )
& ( ! [X51] :
( ~ r1(X0,X51)
| $false )
| p2(X0)
| ~ ! [X52] :
( ! [X53] :
( $false
| ~ r1(X52,X53) )
| p4(X52)
| ~ ! [X54] :
( ! [X55] :
( p4(X55)
| p2(X55)
| ! [X56] :
( $false
| ~ r1(X55,X56) )
| p3(X55)
| p1(X55)
| ~ r1(X54,X55) )
| ~ ( p4(X54)
| ! [X57] :
( ~ r1(X54,X57)
| $false )
| p1(X54)
| p3(X54)
| p2(X54) )
| ~ r1(X52,X54) )
| p2(X52)
| p3(X52)
| p1(X52)
| ~ r1(X0,X52) )
| p3(X0)
| p4(X0)
| p1(X0) )
& ( ! [X58] :
( ~ r1(X0,X58)
| $false )
| p1(X0)
| p2(X0)
| ~ ! [X59] :
( ! [X60] :
( ~ r1(X59,X60)
| $false )
| ~ r1(X0,X59)
| p1(X59)
| p2(X59)
| ~ ! [X61] :
( ~ r1(X59,X61)
| ! [X62] :
( ! [X63] :
( $false
| ~ r1(X62,X63) )
| p2(X62)
| ~ r1(X61,X62)
| p1(X62) )
| ~ ( ! [X64] :
( ~ r1(X61,X64)
| $false )
| p1(X61)
| p2(X61) ) ) ) )
& ( ~ ! [X65] :
( p3(X65)
| ~ r1(X0,X65)
| p1(X65)
| ~ ! [X66] :
( ~ r1(X65,X66)
| ~ ( p2(X66)
| p1(X66)
| ! [X67] :
( $false
| ~ r1(X66,X67) )
| p3(X66) )
| ! [X68] :
( p2(X68)
| ~ r1(X66,X68)
| p1(X68)
| p3(X68)
| ! [X69] :
( ~ r1(X68,X69)
| $false ) ) )
| p2(X65)
| ! [X70] :
( $false
| ~ r1(X65,X70) ) )
| p3(X0)
| ! [X71] :
( $false
| ~ r1(X0,X71) )
| p2(X0)
| p1(X0) )
& ( ~ ! [X72] :
( ~ r1(X0,X72)
| p1(X72)
| ~ ! [X73] :
( ! [X74] :
( p1(X74)
| ! [X75] :
( $false
| ~ r1(X74,X75) )
| ~ r1(X73,X74) )
| ~ ( p1(X73)
| ! [X76] :
( $false
| ~ r1(X73,X76) ) )
| ~ r1(X72,X73) )
| ! [X77] :
( ~ r1(X72,X77)
| $false ) )
| p1(X0)
| ! [X78] :
( ~ r1(X0,X78)
| $false ) ) )
| ! [X79] :
( p2(X79)
| ~ r1(X0,X79) )
| ! [X80] :
( ~ r1(X0,X80)
| p3(X80) )
| ~ ! [X81] :
( ~ ! [X82] :
( ~ p1(X82)
| ! [X83] :
( p1(X83)
| ~ r1(X82,X83) )
| ~ r1(X81,X82) )
| p1(X81)
| ~ r1(X0,X81) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ p3(X0) )
| ~ r1(X0,X1)
| p3(X1) )
| ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ p2(X0)
| ~ r1(X1,X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) ) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ ( ! [X1] :
( p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ p2(X1)
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X0,X1) )
& ( ( ( p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ p2(X1) ) )
& ( ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ p2(X0)
| ~ r1(X1,X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1)
| ~ r1(X0,X1) ) ) ) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( ~ ! [X1] :
( p2(X1)
| ~ ! [X0] :
( ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p2(X0)
| ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) ) )
& ( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) ) )
| p2(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ( ( ~ ! [X0] :
( ~ ! [X1] :
( ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ p2(X1)
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p2(X1)
| ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
& ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) ) ) ) )
| ( ( ~ ! [X0] :
( ~ ! [X1] :
( ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| p2(X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
& ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ r1(X1,X0) )
| p2(X1) ) )
| ~ r1(X0,X1) ) )
& ( ! [X1] :
( ~ r1(X0,X1)
| $false )
| p2(X0)
| ~ ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p4(X1)
| ~ ! [X0] :
( ! [X1] :
( p4(X1)
| p2(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p3(X1)
| p1(X1)
| ~ r1(X0,X1) )
| ~ ( p4(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| p1(X0)
| p3(X0)
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| p3(X1)
| p1(X1)
| ~ r1(X0,X1) )
| p3(X0)
| p4(X0)
| p1(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| $false )
| p1(X0)
| p2(X0)
| ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ r1(X0,X1)
| p1(X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1)
| p1(X1) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| $false )
| p1(X0)
| p2(X0) ) ) ) )
& ( ~ ! [X1] :
( p3(X1)
| ~ r1(X0,X1)
| p1(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p2(X0)
| p1(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p3(X0) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| p1(X1)
| p3(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) ) )
| p2(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) ) )
| p3(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p2(X0)
| p1(X0) )
& ( ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ~ ! [X0] :
( ! [X1] :
( p1(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ( p1(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| p1(X1)
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ p3(X0) )
| ~ r1(X0,X1)
| p3(X1) )
| ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ p2(X0)
| ~ r1(X1,X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) ) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ ( ! [X1] :
( p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ p2(X1)
| ~ r1(X0,X1) )
| p2(X0) )
| ~ r1(X0,X1) )
& ( ( ( p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ p2(X1) ) )
& ( ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ p2(X0)
| ~ r1(X1,X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1)
| ~ r1(X0,X1) ) ) ) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( ~ ! [X1] :
( p2(X1)
| ~ ! [X0] :
( ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p2(X0)
| ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) ) )
& ( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) ) )
| p2(X0) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ( ( ~ ! [X0] :
( ~ ! [X1] :
( ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ p2(X1)
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( p2(X1)
| ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
& ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) ) ) ) )
| ( ( ~ ! [X0] :
( ~ ! [X1] :
( ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| p2(X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
& ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ r1(X1,X0) )
| p2(X1) ) )
| ~ r1(X0,X1) ) )
& ( ! [X1] :
( ~ r1(X0,X1)
| $false )
| p2(X0)
| ~ ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p4(X1)
| ~ ! [X0] :
( ! [X1] :
( p4(X1)
| p2(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p3(X1)
| p1(X1)
| ~ r1(X0,X1) )
| ~ ( p4(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| p1(X0)
| p3(X0)
| p2(X0) )
| ~ r1(X1,X0) )
| p2(X1)
| p3(X1)
| p1(X1)
| ~ r1(X0,X1) )
| p3(X0)
| p4(X0)
| p1(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| $false )
| p1(X0)
| p2(X0)
| ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ r1(X0,X1)
| p1(X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1)
| p1(X1) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| $false )
| p1(X0)
| p2(X0) ) ) ) )
& ( ~ ! [X1] :
( p3(X1)
| ~ r1(X0,X1)
| p1(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p2(X0)
| p1(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p3(X0) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| p1(X1)
| p3(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) ) )
| p2(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) ) )
| p3(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p2(X0)
| p1(X0) )
& ( ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ~ ! [X0] :
( ! [X1] :
( p1(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ( p1(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) ) )
| p1(X1)
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f1644,plain,
( ~ r1(sK28,sK38)
| ~ spl50_50
| spl50_85
| ~ spl50_222
| ~ spl50_223 ),
inference(resolution,[],[f1642,f1627]) ).
fof(f1627,plain,
( r1(sK38,sK42(sK38))
| ~ spl50_222 ),
inference(avatar_component_clause,[],[f1626]) ).
fof(f1626,plain,
( spl50_222
<=> r1(sK38,sK42(sK38)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_222])]) ).
fof(f1642,plain,
( ! [X0] :
( ~ r1(X0,sK42(sK38))
| ~ r1(sK28,X0) )
| ~ spl50_50
| spl50_85
| ~ spl50_223 ),
inference(resolution,[],[f1641,f422]) ).
fof(f422,plain,
( sP2(sK28)
| ~ spl50_50 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f420,plain,
( spl50_50
<=> sP2(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_50])]) ).
fof(f1641,plain,
( ! [X0,X1] :
( ~ sP2(X0)
| ~ r1(X0,X1)
| ~ r1(X1,sK42(sK38)) )
| spl50_85
| ~ spl50_223 ),
inference(subsumption_resolution,[],[f1640,f643]) ).
fof(f643,plain,
( ~ p2(sK42(sK38))
| spl50_85 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f642,plain,
( spl50_85
<=> p2(sK42(sK38)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_85])]) ).
fof(f1640,plain,
( ! [X0,X1] :
( p2(sK42(sK38))
| ~ r1(X1,sK42(sK38))
| ~ r1(X0,X1)
| ~ sP2(X0) )
| ~ spl50_223 ),
inference(resolution,[],[f1632,f120]) ).
fof(f120,plain,
! [X2,X0,X1] :
( ~ p2(sK25(X2))
| p2(X2)
| ~ sP2(X0)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ( p2(sK24(X2))
& r1(X2,sK24(X2))
& ~ p2(sK25(X2))
& r1(sK24(X2),sK25(X2)) )
| ~ r1(X1,X2)
| p2(X2) ) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24,sK25])],[f49,f51,f50]) ).
fof(f50,plain,
! [X2] :
( ? [X3] :
( p2(X3)
& r1(X2,X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) ) )
=> ( p2(sK24(X2))
& r1(X2,sK24(X2))
& ? [X4] :
( ~ p2(X4)
& r1(sK24(X2),X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X2] :
( ? [X4] :
( ~ p2(X4)
& r1(sK24(X2),X4) )
=> ( ~ p2(sK25(X2))
& r1(sK24(X2),sK25(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ? [X3] :
( p2(X3)
& r1(X2,X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) ) )
| ~ r1(X1,X2)
| p2(X2) ) )
| ~ sP2(X0) ),
inference(rectify,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ! [X17] :
( ~ r1(X0,X17)
| ! [X18] :
( ? [X19] :
( p2(X19)
& r1(X18,X19)
& ? [X20] :
( ~ p2(X20)
& r1(X19,X20) ) )
| ~ r1(X17,X18)
| p2(X18) ) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f10]) ).
fof(f1632,plain,
( p2(sK25(sK42(sK38)))
| ~ spl50_223 ),
inference(avatar_component_clause,[],[f1630]) ).
fof(f1630,plain,
( spl50_223
<=> p2(sK25(sK42(sK38))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_223])]) ).
fof(f1637,plain,
spl50_222,
inference(avatar_contradiction_clause,[],[f1636]) ).
fof(f1636,plain,
( $false
| spl50_222 ),
inference(subsumption_resolution,[],[f1635,f164]) ).
fof(f1635,plain,
( ~ r1(sK28,sK38)
| spl50_222 ),
inference(subsumption_resolution,[],[f1634,f165]) ).
fof(f165,plain,
~ p2(sK38),
inference(cnf_transformation,[],[f84]) ).
fof(f1634,plain,
( p2(sK38)
| ~ r1(sK28,sK38)
| spl50_222 ),
inference(resolution,[],[f1628,f152]) ).
fof(f152,plain,
! [X27] :
( r1(X27,sK42(X27))
| p2(X27)
| ~ r1(sK28,X27) ),
inference(cnf_transformation,[],[f84]) ).
fof(f1628,plain,
( ~ r1(sK38,sK42(sK38))
| spl50_222 ),
inference(avatar_component_clause,[],[f1626]) ).
fof(f1633,plain,
( ~ spl50_222
| spl50_223
| ~ spl50_50
| ~ spl50_84
| spl50_85 ),
inference(avatar_split_clause,[],[f1624,f642,f638,f420,f1630,f1626]) ).
fof(f638,plain,
( spl50_84
<=> p2(sK24(sK42(sK38))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_84])]) ).
fof(f1624,plain,
( p2(sK25(sK42(sK38)))
| ~ r1(sK38,sK42(sK38))
| ~ spl50_50
| ~ spl50_84
| spl50_85 ),
inference(subsumption_resolution,[],[f1623,f643]) ).
fof(f1623,plain,
( ~ r1(sK38,sK42(sK38))
| p2(sK42(sK38))
| p2(sK25(sK42(sK38)))
| ~ spl50_50
| ~ spl50_84
| spl50_85 ),
inference(resolution,[],[f1615,f1563]) ).
fof(f1563,plain,
( ! [X0] :
( ~ r1(sK24(sK42(sK38)),X0)
| p2(X0) )
| ~ spl50_50
| ~ spl50_84
| spl50_85 ),
inference(subsumption_resolution,[],[f1562,f165]) ).
fof(f1562,plain,
( ! [X0] :
( ~ r1(sK24(sK42(sK38)),X0)
| p2(sK38)
| p2(X0) )
| ~ spl50_50
| ~ spl50_84
| spl50_85 ),
inference(subsumption_resolution,[],[f1561,f640]) ).
fof(f640,plain,
( p2(sK24(sK42(sK38)))
| ~ spl50_84 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f1561,plain,
( ! [X0] :
( ~ p2(sK24(sK42(sK38)))
| p2(sK38)
| ~ r1(sK24(sK42(sK38)),X0)
| p2(X0) )
| ~ spl50_50
| spl50_85 ),
inference(subsumption_resolution,[],[f1560,f164]) ).
fof(f1560,plain,
( ! [X0] :
( ~ r1(sK28,sK38)
| ~ p2(sK24(sK42(sK38)))
| p2(sK38)
| ~ r1(sK24(sK42(sK38)),X0)
| p2(X0) )
| ~ spl50_50
| spl50_85 ),
inference(resolution,[],[f1553,f150]) ).
fof(f150,plain,
! [X29,X27,X30] :
( ~ r1(sK42(X27),X29)
| p2(X30)
| p2(X27)
| ~ r1(sK28,X27)
| ~ p2(X29)
| ~ r1(X29,X30) ),
inference(cnf_transformation,[],[f84]) ).
fof(f1553,plain,
( r1(sK42(sK38),sK24(sK42(sK38)))
| ~ spl50_50
| spl50_85 ),
inference(subsumption_resolution,[],[f1552,f164]) ).
fof(f1552,plain,
( ~ r1(sK28,sK38)
| r1(sK42(sK38),sK24(sK42(sK38)))
| ~ spl50_50
| spl50_85 ),
inference(subsumption_resolution,[],[f1551,f643]) ).
fof(f1551,plain,
( p2(sK42(sK38))
| ~ r1(sK28,sK38)
| r1(sK42(sK38),sK24(sK42(sK38)))
| ~ spl50_50 ),
inference(subsumption_resolution,[],[f1550,f165]) ).
fof(f1550,plain,
( p2(sK38)
| p2(sK42(sK38))
| r1(sK42(sK38),sK24(sK42(sK38)))
| ~ r1(sK28,sK38)
| ~ spl50_50 ),
inference(resolution,[],[f1539,f152]) ).
fof(f1539,plain,
( ! [X0] :
( ~ r1(sK38,X0)
| r1(X0,sK24(X0))
| p2(X0) )
| ~ spl50_50 ),
inference(resolution,[],[f1489,f164]) ).
fof(f1489,plain,
( ! [X2,X3] :
( ~ r1(sK28,X3)
| r1(X2,sK24(X2))
| ~ r1(X3,X2)
| p2(X2) )
| ~ spl50_50 ),
inference(resolution,[],[f422,f121]) ).
fof(f121,plain,
! [X2,X0,X1] :
( ~ sP2(X0)
| p2(X2)
| r1(X2,sK24(X2))
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f1615,plain,
( ! [X0] :
( r1(sK24(X0),sK25(X0))
| ~ r1(sK38,X0)
| p2(X0) )
| ~ spl50_50 ),
inference(resolution,[],[f1488,f164]) ).
fof(f1488,plain,
( ! [X0,X1] :
( ~ r1(sK28,X1)
| r1(sK24(X0),sK25(X0))
| ~ r1(X1,X0)
| p2(X0) )
| ~ spl50_50 ),
inference(resolution,[],[f422,f119]) ).
fof(f119,plain,
! [X2,X0,X1] :
( ~ sP2(X0)
| r1(sK24(X2),sK25(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f1494,plain,
~ spl50_85,
inference(avatar_contradiction_clause,[],[f1493]) ).
fof(f1493,plain,
( $false
| ~ spl50_85 ),
inference(subsumption_resolution,[],[f1492,f164]) ).
fof(f1492,plain,
( ~ r1(sK28,sK38)
| ~ spl50_85 ),
inference(subsumption_resolution,[],[f1491,f165]) ).
fof(f1491,plain,
( p2(sK38)
| ~ r1(sK28,sK38)
| ~ spl50_85 ),
inference(resolution,[],[f644,f151]) ).
fof(f151,plain,
! [X27] :
( ~ p2(sK42(X27))
| p2(X27)
| ~ r1(sK28,X27) ),
inference(cnf_transformation,[],[f84]) ).
fof(f644,plain,
( p2(sK42(sK38))
| ~ spl50_85 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f1483,plain,
( spl50_50
| ~ spl50_5
| spl50_51 ),
inference(avatar_split_clause,[],[f1482,f424,f200,f420]) ).
fof(f200,plain,
( spl50_5
<=> sP7(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_5])]) ).
fof(f424,plain,
( spl50_51
<=> r1(sK28,sK10(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_51])]) ).
fof(f1482,plain,
( sP2(sK28)
| ~ spl50_5
| spl50_51 ),
inference(subsumption_resolution,[],[f1443,f425]) ).
fof(f425,plain,
( ~ r1(sK28,sK10(sK28))
| spl50_51 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f1443,plain,
( sP2(sK28)
| r1(sK28,sK10(sK28))
| ~ spl50_5 ),
inference(resolution,[],[f202,f85]) ).
fof(f85,plain,
! [X0] :
( ~ sP7(X0)
| sP2(X0)
| r1(X0,sK10(X0)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] :
( ( ( ( r1(X0,sK8(X0))
& p2(sK8(X0))
& ~ p2(sK9(X0))
& r1(sK8(X0),sK9(X0)) )
| p2(X0) )
& ( sP2(X0)
| ( ~ p2(sK10(X0))
& ! [X4] :
( ~ p2(X4)
| ~ r1(sK10(X0),X4)
| ! [X5] :
( ~ r1(X4,X5)
| p2(X5) ) )
& r1(X0,sK10(X0)) ) ) )
| ~ sP7(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f18,f21,f20,f19]) ).
fof(f19,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& p2(X1)
& ? [X2] :
( ~ p2(X2)
& r1(X1,X2) ) )
=> ( r1(X0,sK8(X0))
& p2(sK8(X0))
& ? [X2] :
( ~ p2(X2)
& r1(sK8(X0),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
! [X0] :
( ? [X2] :
( ~ p2(X2)
& r1(sK8(X0),X2) )
=> ( ~ p2(sK9(X0))
& r1(sK8(X0),sK9(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0] :
( ? [X3] :
( ~ p2(X3)
& ! [X4] :
( ~ p2(X4)
| ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p2(X5) ) )
& r1(X0,X3) )
=> ( ~ p2(sK10(X0))
& ! [X4] :
( ~ p2(X4)
| ~ r1(sK10(X0),X4)
| ! [X5] :
( ~ r1(X4,X5)
| p2(X5) ) )
& r1(X0,sK10(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X0] :
( ( ( ? [X1] :
( r1(X0,X1)
& p2(X1)
& ? [X2] :
( ~ p2(X2)
& r1(X1,X2) ) )
| p2(X0) )
& ( sP2(X0)
| ? [X3] :
( ~ p2(X3)
& ! [X4] :
( ~ p2(X4)
| ~ r1(X3,X4)
| ! [X5] :
( ~ r1(X4,X5)
| p2(X5) ) )
& r1(X0,X3) ) ) )
| ~ sP7(X0) ),
inference(rectify,[],[f17]) ).
fof(f17,plain,
! [X0] :
( ( ( ? [X12] :
( r1(X0,X12)
& p2(X12)
& ? [X13] :
( ~ p2(X13)
& r1(X12,X13) ) )
| p2(X0) )
& ( sP2(X0)
| ? [X14] :
( ~ p2(X14)
& ! [X15] :
( ~ p2(X15)
| ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p2(X16) ) )
& r1(X0,X14) ) ) )
| ~ sP7(X0) ),
inference(nnf_transformation,[],[f15]) ).
fof(f202,plain,
( sP7(sK28)
| ~ spl50_5 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f1481,plain,
( ~ spl50_51
| spl50_63
| ~ spl50_94 ),
inference(avatar_contradiction_clause,[],[f1480]) ).
fof(f1480,plain,
( $false
| ~ spl50_51
| spl50_63
| ~ spl50_94 ),
inference(subsumption_resolution,[],[f1479,f510]) ).
fof(f510,plain,
( ~ p2(sK10(sK28))
| spl50_63 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f509,plain,
( spl50_63
<=> p2(sK10(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_63])]) ).
fof(f1479,plain,
( p2(sK10(sK28))
| ~ spl50_51
| spl50_63
| ~ spl50_94 ),
inference(subsumption_resolution,[],[f1478,f426]) ).
fof(f426,plain,
( r1(sK28,sK10(sK28))
| ~ spl50_51 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f1478,plain,
( ~ r1(sK28,sK10(sK28))
| p2(sK10(sK28))
| ~ spl50_51
| spl50_63
| ~ spl50_94 ),
inference(resolution,[],[f1468,f167]) ).
fof(f167,plain,
! [X14] :
( ~ p2(sK37(X14))
| p2(X14)
| ~ r1(sK28,X14) ),
inference(cnf_transformation,[],[f84]) ).
fof(f1468,plain,
( p2(sK37(sK10(sK28)))
| ~ spl50_51
| spl50_63
| ~ spl50_94 ),
inference(subsumption_resolution,[],[f1467,f510]) ).
fof(f1467,plain,
( p2(sK10(sK28))
| p2(sK37(sK10(sK28)))
| ~ spl50_51
| ~ spl50_94 ),
inference(subsumption_resolution,[],[f1449,f426]) ).
fof(f1449,plain,
( p2(sK10(sK28))
| ~ r1(sK28,sK10(sK28))
| p2(sK37(sK10(sK28)))
| ~ spl50_94 ),
inference(resolution,[],[f698,f166]) ).
fof(f166,plain,
! [X14] :
( r1(sK36(X14),sK37(X14))
| p2(X14)
| ~ r1(sK28,X14) ),
inference(cnf_transformation,[],[f84]) ).
fof(f698,plain,
( ! [X2] :
( ~ r1(sK36(sK10(sK28)),X2)
| p2(X2) )
| ~ spl50_94 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f697,plain,
( spl50_94
<=> ! [X2] :
( ~ r1(sK36(sK10(sK28)),X2)
| p2(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_94])]) ).
fof(f1440,plain,
( spl50_77
| ~ spl50_108
| ~ spl50_186
| ~ spl50_206 ),
inference(avatar_contradiction_clause,[],[f1439]) ).
fof(f1439,plain,
( $false
| spl50_77
| ~ spl50_108
| ~ spl50_186
| ~ spl50_206 ),
inference(subsumption_resolution,[],[f1435,f797]) ).
fof(f797,plain,
( sP4(sK13(sK39))
| ~ spl50_108 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f795,plain,
( spl50_108
<=> sP4(sK13(sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_108])]) ).
fof(f1435,plain,
( ~ sP4(sK13(sK39))
| spl50_77
| ~ spl50_186
| ~ spl50_206 ),
inference(resolution,[],[f1433,f1291]) ).
fof(f1291,plain,
( r1(sK13(sK39),sK14(sK39))
| ~ spl50_186 ),
inference(avatar_component_clause,[],[f1290]) ).
fof(f1290,plain,
( spl50_186
<=> r1(sK13(sK39),sK14(sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_186])]) ).
fof(f1433,plain,
( ! [X0] :
( ~ r1(X0,sK14(sK39))
| ~ sP4(X0) )
| spl50_77
| ~ spl50_206 ),
inference(subsumption_resolution,[],[f1432,f588]) ).
fof(f588,plain,
( ~ p2(sK14(sK39))
| spl50_77 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f587,plain,
( spl50_77
<=> p2(sK14(sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_77])]) ).
fof(f1432,plain,
( ! [X0] :
( ~ r1(X0,sK14(sK39))
| ~ sP4(X0)
| p2(sK14(sK39)) )
| ~ spl50_206 ),
inference(resolution,[],[f1426,f114]) ).
fof(f114,plain,
! [X0,X1] :
( ~ p2(sK19(X1))
| ~ sP4(X0)
| ~ r1(X0,X1)
| p2(X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ( ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| ( ~ p2(sK19(X1))
& r1(sK18(X1),sK19(X1))
& r1(X1,sK18(X1))
& p2(sK18(X1)) ) )
& r1(X0,sK20(X0))
& ! [X6] :
( ~ p2(X6)
| ~ r1(sK21(X0),X6)
| ! [X7] :
( ~ r1(X6,X7)
| p2(X7) ) )
& ~ p2(sK21(X0))
& r1(sK20(X0),sK21(X0)) )
| ~ sP4(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21])],[f37,f41,f40,f39,f38]) ).
fof(f38,plain,
! [X1] :
( ? [X2] :
( ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2)
& p2(X2) )
=> ( ? [X3] :
( ~ p2(X3)
& r1(sK18(X1),X3) )
& r1(X1,sK18(X1))
& p2(sK18(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK18(X1),X3) )
=> ( ~ p2(sK19(X1))
& r1(sK18(X1),sK19(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X0] :
( ? [X4] :
( r1(X0,X4)
& ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| p2(X7) ) )
& ~ p2(X5)
& r1(X4,X5) ) )
=> ( r1(X0,sK20(X0))
& ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| p2(X7) ) )
& ~ p2(X5)
& r1(sK20(X0),X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X0] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| p2(X7) ) )
& ~ p2(X5)
& r1(sK20(X0),X5) )
=> ( ! [X6] :
( ~ p2(X6)
| ~ r1(sK21(X0),X6)
| ! [X7] :
( ~ r1(X6,X7)
| p2(X7) ) )
& ~ p2(sK21(X0))
& r1(sK20(X0),sK21(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X0] :
( ( ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| ? [X2] :
( ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2)
& p2(X2) ) )
& ? [X4] :
( r1(X0,X4)
& ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| p2(X7) ) )
& ~ p2(X5)
& r1(X4,X5) ) ) )
| ~ sP4(X0) ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
! [X22] :
( ( ! [X23] :
( p2(X23)
| ~ r1(X22,X23)
| ? [X24] :
( ? [X25] :
( ~ p2(X25)
& r1(X24,X25) )
& r1(X23,X24)
& p2(X24) ) )
& ? [X26] :
( r1(X22,X26)
& ? [X27] :
( ! [X28] :
( ~ p2(X28)
| ~ r1(X27,X28)
| ! [X29] :
( ~ r1(X28,X29)
| p2(X29) ) )
& ~ p2(X27)
& r1(X26,X27) ) ) )
| ~ sP4(X22) ),
inference(nnf_transformation,[],[f12]) ).
fof(f1426,plain,
( p2(sK19(sK14(sK39)))
| ~ spl50_206 ),
inference(avatar_component_clause,[],[f1424]) ).
fof(f1424,plain,
( spl50_206
<=> p2(sK19(sK14(sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_206])]) ).
fof(f1431,plain,
( spl50_206
| ~ spl50_24
| spl50_77
| ~ spl50_108
| ~ spl50_186 ),
inference(avatar_split_clause,[],[f1430,f1290,f795,f587,f289,f1424]) ).
fof(f289,plain,
( spl50_24
<=> sP6(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_24])]) ).
fof(f1430,plain,
( p2(sK19(sK14(sK39)))
| ~ spl50_24
| spl50_77
| ~ spl50_108
| ~ spl50_186 ),
inference(subsumption_resolution,[],[f1429,f588]) ).
fof(f1429,plain,
( p2(sK14(sK39))
| p2(sK19(sK14(sK39)))
| ~ spl50_24
| spl50_77
| ~ spl50_108
| ~ spl50_186 ),
inference(subsumption_resolution,[],[f1428,f1291]) ).
fof(f1428,plain,
( ~ r1(sK13(sK39),sK14(sK39))
| p2(sK19(sK14(sK39)))
| p2(sK14(sK39))
| ~ spl50_24
| spl50_77
| ~ spl50_108
| ~ spl50_186 ),
inference(resolution,[],[f1315,f1390]) ).
fof(f1390,plain,
( ! [X0] :
( ~ r1(sK18(sK14(sK39)),X0)
| p2(X0) )
| ~ spl50_24
| spl50_77
| ~ spl50_108
| ~ spl50_186 ),
inference(subsumption_resolution,[],[f1389,f1379]) ).
fof(f1379,plain,
( p2(sK18(sK14(sK39)))
| ~ spl50_24
| spl50_77
| ~ spl50_108 ),
inference(subsumption_resolution,[],[f1378,f588]) ).
fof(f1378,plain,
( p2(sK14(sK39))
| p2(sK18(sK14(sK39)))
| ~ spl50_24
| ~ spl50_108 ),
inference(subsumption_resolution,[],[f1362,f291]) ).
fof(f291,plain,
( sP6(sK39)
| ~ spl50_24 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f1362,plain,
( ~ sP6(sK39)
| p2(sK14(sK39))
| p2(sK18(sK14(sK39)))
| ~ spl50_108 ),
inference(resolution,[],[f1317,f92]) ).
fof(f92,plain,
! [X0] :
( r1(sK13(X0),sK14(X0))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] :
( ( ! [X1] :
( ( ~ p2(sK12(X1))
& r1(sK11(X1),sK12(X1))
& p2(sK11(X1))
& r1(X1,sK11(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
& r1(X0,sK13(X0))
& ! [X6] :
( ! [X7] :
( ~ r1(X6,X7)
| p2(X7) )
| ~ p2(X6)
| ~ r1(sK14(X0),X6) )
& ~ p2(sK14(X0))
& r1(sK13(X0),sK14(X0)) )
| ~ sP6(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14])],[f24,f28,f27,f26,f25]) ).
fof(f25,plain,
! [X1] :
( ? [X2] :
( ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& p2(X2)
& r1(X1,X2) )
=> ( ? [X3] :
( ~ p2(X3)
& r1(sK11(X1),X3) )
& p2(sK11(X1))
& r1(X1,sK11(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK11(X1),X3) )
=> ( ~ p2(sK12(X1))
& r1(sK11(X1),sK12(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
! [X0] :
( ? [X4] :
( r1(X0,X4)
& ? [X5] :
( ! [X6] :
( ! [X7] :
( ~ r1(X6,X7)
| p2(X7) )
| ~ p2(X6)
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(X4,X5) ) )
=> ( r1(X0,sK13(X0))
& ? [X5] :
( ! [X6] :
( ! [X7] :
( ~ r1(X6,X7)
| p2(X7) )
| ~ p2(X6)
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(sK13(X0),X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
! [X0] :
( ? [X5] :
( ! [X6] :
( ! [X7] :
( ~ r1(X6,X7)
| p2(X7) )
| ~ p2(X6)
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(sK13(X0),X5) )
=> ( ! [X6] :
( ! [X7] :
( ~ r1(X6,X7)
| p2(X7) )
| ~ p2(X6)
| ~ r1(sK14(X0),X6) )
& ~ p2(sK14(X0))
& r1(sK13(X0),sK14(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0] :
( ( ! [X1] :
( ? [X2] :
( ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ? [X4] :
( r1(X0,X4)
& ? [X5] :
( ! [X6] :
( ! [X7] :
( ~ r1(X6,X7)
| p2(X7) )
| ~ p2(X6)
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(X4,X5) ) ) )
| ~ sP6(X0) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X21] :
( ( ! [X42] :
( ? [X43] :
( ? [X44] :
( ~ p2(X44)
& r1(X43,X44) )
& p2(X43)
& r1(X42,X43) )
| p2(X42)
| ~ r1(X21,X42) )
& ? [X45] :
( r1(X21,X45)
& ? [X46] :
( ! [X47] :
( ! [X48] :
( ~ r1(X47,X48)
| p2(X48) )
| ~ p2(X47)
| ~ r1(X46,X47) )
& ~ p2(X46)
& r1(X45,X46) ) ) )
| ~ sP6(X21) ),
inference(nnf_transformation,[],[f14]) ).
fof(f1317,plain,
( ! [X2] :
( ~ r1(sK13(sK39),X2)
| p2(X2)
| p2(sK18(X2)) )
| ~ spl50_108 ),
inference(resolution,[],[f797,f111]) ).
fof(f111,plain,
! [X0,X1] :
( ~ sP4(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK18(X1)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f1389,plain,
( ! [X0] :
( ~ r1(sK18(sK14(sK39)),X0)
| p2(X0)
| ~ p2(sK18(sK14(sK39))) )
| ~ spl50_24
| spl50_77
| ~ spl50_108
| ~ spl50_186 ),
inference(resolution,[],[f1388,f791]) ).
fof(f791,plain,
( ! [X3,X4] :
( ~ r1(sK14(sK39),X4)
| ~ p2(X4)
| p2(X3)
| ~ r1(X4,X3) )
| ~ spl50_24 ),
inference(resolution,[],[f291,f94]) ).
fof(f94,plain,
! [X0,X6,X7] :
( ~ sP6(X0)
| p2(X7)
| ~ r1(sK14(X0),X6)
| ~ p2(X6)
| ~ r1(X6,X7) ),
inference(cnf_transformation,[],[f29]) ).
fof(f1388,plain,
( r1(sK14(sK39),sK18(sK14(sK39)))
| spl50_77
| ~ spl50_108
| ~ spl50_186 ),
inference(subsumption_resolution,[],[f1380,f588]) ).
fof(f1380,plain,
( r1(sK14(sK39),sK18(sK14(sK39)))
| p2(sK14(sK39))
| ~ spl50_108
| ~ spl50_186 ),
inference(resolution,[],[f1316,f1291]) ).
fof(f1316,plain,
( ! [X1] :
( ~ r1(sK13(sK39),X1)
| p2(X1)
| r1(X1,sK18(X1)) )
| ~ spl50_108 ),
inference(resolution,[],[f797,f112]) ).
fof(f112,plain,
! [X0,X1] :
( ~ sP4(X0)
| r1(X1,sK18(X1))
| p2(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f1315,plain,
( ! [X0] :
( r1(sK18(X0),sK19(X0))
| ~ r1(sK13(sK39),X0)
| p2(X0) )
| ~ spl50_108 ),
inference(resolution,[],[f797,f113]) ).
fof(f113,plain,
! [X0,X1] :
( ~ sP4(X0)
| ~ r1(X0,X1)
| p2(X1)
| r1(sK18(X1),sK19(X1)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f1314,plain,
( ~ spl50_24
| ~ spl50_77 ),
inference(avatar_contradiction_clause,[],[f1313]) ).
fof(f1313,plain,
( $false
| ~ spl50_24
| ~ spl50_77 ),
inference(subsumption_resolution,[],[f1312,f291]) ).
fof(f1312,plain,
( ~ sP6(sK39)
| ~ spl50_77 ),
inference(resolution,[],[f589,f93]) ).
fof(f93,plain,
! [X0] :
( ~ p2(sK14(X0))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f589,plain,
( p2(sK14(sK39))
| ~ spl50_77 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f1311,plain,
( ~ spl50_109
| ~ spl50_186
| ~ spl50_188 ),
inference(avatar_contradiction_clause,[],[f1310]) ).
fof(f1310,plain,
( $false
| ~ spl50_109
| ~ spl50_186
| ~ spl50_188 ),
inference(subsumption_resolution,[],[f1309,f1291]) ).
fof(f1309,plain,
( ~ r1(sK13(sK39),sK14(sK39))
| ~ spl50_109
| ~ spl50_188 ),
inference(resolution,[],[f1304,f801]) ).
fof(f801,plain,
( sP5(sK13(sK39))
| ~ spl50_109 ),
inference(avatar_component_clause,[],[f799]) ).
fof(f799,plain,
( spl50_109
<=> sP5(sK13(sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_109])]) ).
fof(f1304,plain,
( ! [X0] :
( ~ sP5(X0)
| ~ r1(X0,sK14(sK39)) )
| ~ spl50_188 ),
inference(avatar_component_clause,[],[f1303]) ).
fof(f1303,plain,
( spl50_188
<=> ! [X0] :
( ~ sP5(X0)
| ~ r1(X0,sK14(sK39)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_188])]) ).
fof(f1305,plain,
( spl50_77
| spl50_188
| ~ spl50_187 ),
inference(avatar_split_clause,[],[f1301,f1294,f1303,f587]) ).
fof(f1294,plain,
( spl50_187
<=> p2(sK16(sK14(sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_187])]) ).
fof(f1301,plain,
( ! [X0] :
( ~ sP5(X0)
| ~ r1(X0,sK14(sK39))
| p2(sK14(sK39)) )
| ~ spl50_187 ),
inference(resolution,[],[f1296,f106]) ).
fof(f106,plain,
! [X0,X1] :
( ~ p2(sK16(X1))
| ~ r1(X0,X1)
| p2(X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( ! [X1] :
( ( ( p2(X1)
| ( ~ p2(sK16(X1))
& r1(sK15(X1),sK16(X1))
& r1(X1,sK15(X1))
& p2(sK15(X1)) ) )
& ( ( r1(X1,sK17(X1))
& ~ p2(sK17(X1))
& ! [X5] :
( ~ p2(X5)
| ~ r1(sK17(X1),X5)
| ! [X6] :
( ~ r1(X5,X6)
| p2(X6) ) ) )
| sP3(X1) ) )
| ~ r1(X0,X1) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16,sK17])],[f31,f34,f33,f32]) ).
fof(f32,plain,
! [X1] :
( ? [X2] :
( ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2)
& p2(X2) )
=> ( ? [X3] :
( ~ p2(X3)
& r1(sK15(X1),X3) )
& r1(X1,sK15(X1))
& p2(sK15(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK15(X1),X3) )
=> ( ~ p2(sK16(X1))
& r1(sK15(X1),sK16(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X1] :
( ? [X4] :
( r1(X1,X4)
& ~ p2(X4)
& ! [X5] :
( ~ p2(X5)
| ~ r1(X4,X5)
| ! [X6] :
( ~ r1(X5,X6)
| p2(X6) ) ) )
=> ( r1(X1,sK17(X1))
& ~ p2(sK17(X1))
& ! [X5] :
( ~ p2(X5)
| ~ r1(sK17(X1),X5)
| ! [X6] :
( ~ r1(X5,X6)
| p2(X6) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X0] :
( ! [X1] :
( ( ( p2(X1)
| ? [X2] :
( ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2)
& p2(X2) ) )
& ( ? [X4] :
( r1(X1,X4)
& ~ p2(X4)
& ! [X5] :
( ~ p2(X5)
| ~ r1(X4,X5)
| ! [X6] :
( ~ r1(X5,X6)
| p2(X6) ) ) )
| sP3(X1) ) )
| ~ r1(X0,X1) )
| ~ sP5(X0) ),
inference(rectify,[],[f30]) ).
fof(f30,plain,
! [X22] :
( ! [X32] :
( ( ( p2(X32)
| ? [X40] :
( ? [X41] :
( ~ p2(X41)
& r1(X40,X41) )
& r1(X32,X40)
& p2(X40) ) )
& ( ? [X33] :
( r1(X32,X33)
& ~ p2(X33)
& ! [X34] :
( ~ p2(X34)
| ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35) ) ) )
| sP3(X32) ) )
| ~ r1(X22,X32) )
| ~ sP5(X22) ),
inference(nnf_transformation,[],[f13]) ).
fof(f1296,plain,
( p2(sK16(sK14(sK39)))
| ~ spl50_187 ),
inference(avatar_component_clause,[],[f1294]) ).
fof(f1300,plain,
( ~ spl50_24
| spl50_186 ),
inference(avatar_contradiction_clause,[],[f1299]) ).
fof(f1299,plain,
( $false
| ~ spl50_24
| spl50_186 ),
inference(subsumption_resolution,[],[f1298,f291]) ).
fof(f1298,plain,
( ~ sP6(sK39)
| spl50_186 ),
inference(resolution,[],[f1292,f92]) ).
fof(f1292,plain,
( ~ r1(sK13(sK39),sK14(sK39))
| spl50_186 ),
inference(avatar_component_clause,[],[f1290]) ).
fof(f1297,plain,
( spl50_77
| ~ spl50_186
| spl50_187
| ~ spl50_24
| ~ spl50_109
| ~ spl50_161
| ~ spl50_174 ),
inference(avatar_split_clause,[],[f1288,f1216,f1138,f799,f289,f1294,f1290,f587]) ).
fof(f1138,plain,
( spl50_161
<=> p2(sK15(sK14(sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_161])]) ).
fof(f1216,plain,
( spl50_174
<=> r1(sK14(sK39),sK15(sK14(sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_174])]) ).
fof(f1288,plain,
( p2(sK16(sK14(sK39)))
| ~ r1(sK13(sK39),sK14(sK39))
| p2(sK14(sK39))
| ~ spl50_24
| ~ spl50_109
| ~ spl50_161
| ~ spl50_174 ),
inference(resolution,[],[f1083,f1221]) ).
fof(f1221,plain,
( ! [X0] :
( ~ r1(sK15(sK14(sK39)),X0)
| p2(X0) )
| ~ spl50_24
| ~ spl50_161
| ~ spl50_174 ),
inference(subsumption_resolution,[],[f1220,f1140]) ).
fof(f1140,plain,
( p2(sK15(sK14(sK39)))
| ~ spl50_161 ),
inference(avatar_component_clause,[],[f1138]) ).
fof(f1220,plain,
( ! [X0] :
( ~ r1(sK15(sK14(sK39)),X0)
| ~ p2(sK15(sK14(sK39)))
| p2(X0) )
| ~ spl50_24
| ~ spl50_174 ),
inference(resolution,[],[f1218,f791]) ).
fof(f1218,plain,
( r1(sK14(sK39),sK15(sK14(sK39)))
| ~ spl50_174 ),
inference(avatar_component_clause,[],[f1216]) ).
fof(f1083,plain,
( ! [X0] :
( r1(sK15(X0),sK16(X0))
| ~ r1(sK13(sK39),X0)
| p2(X0) )
| ~ spl50_109 ),
inference(resolution,[],[f801,f105]) ).
fof(f105,plain,
! [X0,X1] :
( ~ sP5(X0)
| p2(X1)
| r1(sK15(X1),sK16(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f1219,plain,
( spl50_77
| spl50_174
| ~ spl50_24
| ~ spl50_109 ),
inference(avatar_split_clause,[],[f1214,f799,f289,f1216,f587]) ).
fof(f1214,plain,
( r1(sK14(sK39),sK15(sK14(sK39)))
| p2(sK14(sK39))
| ~ spl50_24
| ~ spl50_109 ),
inference(subsumption_resolution,[],[f1208,f291]) ).
fof(f1208,plain,
( p2(sK14(sK39))
| ~ sP6(sK39)
| r1(sK14(sK39),sK15(sK14(sK39)))
| ~ spl50_109 ),
inference(resolution,[],[f1084,f92]) ).
fof(f1084,plain,
( ! [X1] :
( ~ r1(sK13(sK39),X1)
| p2(X1)
| r1(X1,sK15(X1)) )
| ~ spl50_109 ),
inference(resolution,[],[f801,f104]) ).
fof(f104,plain,
! [X0,X1] :
( ~ sP5(X0)
| ~ r1(X0,X1)
| r1(X1,sK15(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f1141,plain,
( spl50_161
| spl50_77
| ~ spl50_24
| ~ spl50_109 ),
inference(avatar_split_clause,[],[f1136,f799,f289,f587,f1138]) ).
fof(f1136,plain,
( p2(sK14(sK39))
| p2(sK15(sK14(sK39)))
| ~ spl50_24
| ~ spl50_109 ),
inference(subsumption_resolution,[],[f1130,f291]) ).
fof(f1130,plain,
( p2(sK15(sK14(sK39)))
| p2(sK14(sK39))
| ~ sP6(sK39)
| ~ spl50_109 ),
inference(resolution,[],[f1086,f92]) ).
fof(f1086,plain,
( ! [X3] :
( ~ r1(sK13(sK39),X3)
| p2(X3)
| p2(sK15(X3)) )
| ~ spl50_109 ),
inference(resolution,[],[f801,f103]) ).
fof(f103,plain,
! [X0,X1] :
( ~ sP5(X0)
| p2(sK15(X1))
| p2(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f1082,plain,
( ~ spl50_24
| ~ spl50_82
| spl50_83
| ~ spl50_127 ),
inference(avatar_contradiction_clause,[],[f1081]) ).
fof(f1081,plain,
( $false
| ~ spl50_24
| ~ spl50_82
| spl50_83
| ~ spl50_127 ),
inference(subsumption_resolution,[],[f1080,f792]) ).
fof(f792,plain,
( r1(sK39,sK13(sK39))
| ~ spl50_24 ),
inference(resolution,[],[f291,f95]) ).
fof(f95,plain,
! [X0] :
( ~ sP6(X0)
| r1(X0,sK13(X0)) ),
inference(cnf_transformation,[],[f29]) ).
fof(f1080,plain,
( ~ r1(sK39,sK13(sK39))
| ~ spl50_24
| ~ spl50_82
| spl50_83
| ~ spl50_127 ),
inference(resolution,[],[f1061,f291]) ).
fof(f1061,plain,
( ! [X0] :
( ~ sP6(X0)
| ~ r1(X0,sK13(sK39)) )
| ~ spl50_24
| ~ spl50_82
| spl50_83
| ~ spl50_127 ),
inference(subsumption_resolution,[],[f1060,f617]) ).
fof(f617,plain,
( ~ p2(sK13(sK39))
| spl50_83 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f616,plain,
( spl50_83
<=> p2(sK13(sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_83])]) ).
fof(f1060,plain,
( ! [X0] :
( ~ r1(X0,sK13(sK39))
| p2(sK13(sK39))
| ~ sP6(X0) )
| ~ spl50_24
| ~ spl50_82
| spl50_83
| ~ spl50_127 ),
inference(resolution,[],[f1037,f99]) ).
fof(f99,plain,
! [X0,X1] :
( ~ p2(sK12(X1))
| ~ sP6(X0)
| p2(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f1037,plain,
( p2(sK12(sK13(sK39)))
| ~ spl50_24
| ~ spl50_82
| spl50_83
| ~ spl50_127 ),
inference(subsumption_resolution,[],[f1036,f617]) ).
fof(f1036,plain,
( p2(sK13(sK39))
| p2(sK12(sK13(sK39)))
| ~ spl50_24
| ~ spl50_82
| spl50_83
| ~ spl50_127 ),
inference(subsumption_resolution,[],[f1025,f792]) ).
fof(f1025,plain,
( ~ r1(sK39,sK13(sK39))
| p2(sK12(sK13(sK39)))
| p2(sK13(sK39))
| ~ spl50_24
| ~ spl50_82
| spl50_83
| ~ spl50_127 ),
inference(resolution,[],[f788,f962]) ).
fof(f962,plain,
( ! [X1] :
( ~ r1(sK11(sK13(sK39)),X1)
| p2(X1) )
| ~ spl50_24
| ~ spl50_82
| spl50_83
| ~ spl50_127 ),
inference(subsumption_resolution,[],[f929,f614]) ).
fof(f614,plain,
( p2(sK11(sK13(sK39)))
| ~ spl50_82 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f612,plain,
( spl50_82
<=> p2(sK11(sK13(sK39))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_82])]) ).
fof(f929,plain,
( ! [X1] :
( ~ r1(sK11(sK13(sK39)),X1)
| ~ p2(sK11(sK13(sK39)))
| p2(X1) )
| ~ spl50_24
| spl50_83
| ~ spl50_127 ),
inference(resolution,[],[f926,f888]) ).
fof(f888,plain,
( r1(sK13(sK39),sK11(sK13(sK39)))
| ~ spl50_24
| spl50_83 ),
inference(subsumption_resolution,[],[f880,f617]) ).
fof(f880,plain,
( p2(sK13(sK39))
| r1(sK13(sK39),sK11(sK13(sK39)))
| ~ spl50_24 ),
inference(resolution,[],[f789,f792]) ).
fof(f789,plain,
( ! [X1] :
( ~ r1(sK39,X1)
| r1(X1,sK11(X1))
| p2(X1) )
| ~ spl50_24 ),
inference(resolution,[],[f291,f96]) ).
fof(f96,plain,
! [X0,X1] :
( ~ sP6(X0)
| ~ r1(X0,X1)
| p2(X1)
| r1(X1,sK11(X1)) ),
inference(cnf_transformation,[],[f29]) ).
fof(f926,plain,
( ! [X0,X1] :
( ~ r1(sK13(sK39),X0)
| ~ p2(X0)
| ~ r1(X0,X1)
| p2(X1) )
| ~ spl50_127 ),
inference(avatar_component_clause,[],[f925]) ).
fof(f925,plain,
( spl50_127
<=> ! [X0,X1] :
( p2(X1)
| ~ p2(X0)
| ~ r1(sK13(sK39),X0)
| ~ r1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_127])]) ).
fof(f788,plain,
( ! [X0] :
( r1(sK11(X0),sK12(X0))
| ~ r1(sK39,X0)
| p2(X0) )
| ~ spl50_24 ),
inference(resolution,[],[f291,f98]) ).
fof(f98,plain,
! [X0,X1] :
( ~ sP6(X0)
| r1(sK11(X1),sK12(X1))
| ~ r1(X0,X1)
| p2(X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f927,plain,
( spl50_108
| spl50_127
| spl50_109
| ~ spl50_24
| ~ spl50_34 ),
inference(avatar_split_clause,[],[f919,f334,f289,f799,f925,f795]) ).
fof(f334,plain,
( spl50_34
<=> ! [X22,X21,X23] :
( ~ p2(X22)
| p2(X23)
| sP5(X21)
| sP4(X21)
| ~ r1(X22,X23)
| ~ r1(sK39,X21)
| ~ r1(X21,X22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_34])]) ).
fof(f919,plain,
( ! [X0,X1] :
( sP5(sK13(sK39))
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK13(sK39),X0)
| ~ p2(X0)
| sP4(sK13(sK39)) )
| ~ spl50_24
| ~ spl50_34 ),
inference(resolution,[],[f335,f792]) ).
fof(f335,plain,
( ! [X21,X22,X23] :
( ~ r1(sK39,X21)
| sP5(X21)
| ~ p2(X22)
| sP4(X21)
| p2(X23)
| ~ r1(X21,X22)
| ~ r1(X22,X23) )
| ~ spl50_34 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f802,plain,
( spl50_108
| spl50_109
| ~ spl50_83
| ~ spl50_17
| ~ spl50_24 ),
inference(avatar_split_clause,[],[f793,f289,f256,f616,f799,f795]) ).
fof(f256,plain,
( spl50_17
<=> ! [X21] :
( sP5(X21)
| sP4(X21)
| ~ p2(X21)
| ~ r1(sK39,X21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_17])]) ).
fof(f793,plain,
( ~ p2(sK13(sK39))
| sP5(sK13(sK39))
| sP4(sK13(sK39))
| ~ spl50_17
| ~ spl50_24 ),
inference(resolution,[],[f792,f257]) ).
fof(f257,plain,
( ! [X21] :
( ~ r1(sK39,X21)
| sP5(X21)
| ~ p2(X21)
| sP4(X21) )
| ~ spl50_17 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f787,plain,
( ~ spl50_6
| ~ spl50_25
| spl50_30
| ~ spl50_68 ),
inference(avatar_contradiction_clause,[],[f786]) ).
fof(f786,plain,
( $false
| ~ spl50_6
| ~ spl50_25
| spl50_30
| ~ spl50_68 ),
inference(subsumption_resolution,[],[f785,f318]) ).
fof(f318,plain,
( ~ p2(sK39)
| spl50_30 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f316,plain,
( spl50_30
<=> p2(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_30])]) ).
fof(f785,plain,
( p2(sK39)
| ~ spl50_6
| ~ spl50_25
| spl50_30
| ~ spl50_68 ),
inference(subsumption_resolution,[],[f784,f206]) ).
fof(f206,plain,
( r1(sK28,sK39)
| ~ spl50_6 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f204,plain,
( spl50_6
<=> r1(sK28,sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_6])]) ).
fof(f784,plain,
( ~ r1(sK28,sK39)
| p2(sK39)
| ~ spl50_6
| ~ spl50_25
| spl50_30
| ~ spl50_68 ),
inference(resolution,[],[f783,f167]) ).
fof(f783,plain,
( p2(sK37(sK39))
| ~ spl50_6
| ~ spl50_25
| spl50_30
| ~ spl50_68 ),
inference(subsumption_resolution,[],[f782,f318]) ).
fof(f782,plain,
( p2(sK39)
| p2(sK37(sK39))
| ~ spl50_6
| ~ spl50_25
| spl50_30
| ~ spl50_68 ),
inference(subsumption_resolution,[],[f755,f206]) ).
fof(f755,plain,
( p2(sK37(sK39))
| ~ r1(sK28,sK39)
| p2(sK39)
| ~ spl50_6
| ~ spl50_25
| spl50_30
| ~ spl50_68 ),
inference(resolution,[],[f749,f166]) ).
fof(f749,plain,
( ! [X2] :
( ~ r1(sK36(sK39),X2)
| p2(X2) )
| ~ spl50_6
| ~ spl50_25
| spl50_30
| ~ spl50_68 ),
inference(subsumption_resolution,[],[f748,f542]) ).
fof(f542,plain,
( p2(sK36(sK39))
| ~ spl50_68 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f540,plain,
( spl50_68
<=> p2(sK36(sK39)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_68])]) ).
fof(f748,plain,
( ! [X2] :
( ~ r1(sK36(sK39),X2)
| p2(X2)
| ~ p2(sK36(sK39)) )
| ~ spl50_6
| ~ spl50_25
| spl50_30 ),
inference(subsumption_resolution,[],[f747,f206]) ).
fof(f747,plain,
( ! [X2] :
( ~ r1(sK28,sK39)
| p2(X2)
| ~ p2(sK36(sK39))
| ~ r1(sK36(sK39),X2) )
| ~ spl50_25
| spl50_30 ),
inference(subsumption_resolution,[],[f745,f318]) ).
fof(f745,plain,
( ! [X2] :
( p2(sK39)
| ~ p2(sK36(sK39))
| ~ r1(sK36(sK39),X2)
| p2(X2)
| ~ r1(sK28,sK39) )
| ~ spl50_25 ),
inference(resolution,[],[f294,f168]) ).
fof(f168,plain,
! [X14] :
( r1(X14,sK36(X14))
| ~ r1(sK28,X14)
| p2(X14) ),
inference(cnf_transformation,[],[f84]) ).
fof(f294,plain,
( ! [X19,X20] :
( ~ r1(sK39,X19)
| ~ r1(X19,X20)
| p2(X20)
| ~ p2(X19) )
| ~ spl50_25 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f293,plain,
( spl50_25
<=> ! [X20,X19] :
( ~ r1(sK39,X19)
| ~ p2(X19)
| p2(X20)
| ~ r1(X19,X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_25])]) ).
fof(f703,plain,
( ~ spl50_5
| spl50_50
| ~ spl50_63 ),
inference(avatar_contradiction_clause,[],[f702]) ).
fof(f702,plain,
( $false
| ~ spl50_5
| spl50_50
| ~ spl50_63 ),
inference(subsumption_resolution,[],[f701,f202]) ).
fof(f701,plain,
( ~ sP7(sK28)
| spl50_50
| ~ spl50_63 ),
inference(subsumption_resolution,[],[f700,f421]) ).
fof(f421,plain,
( ~ sP2(sK28)
| spl50_50 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f700,plain,
( sP2(sK28)
| ~ sP7(sK28)
| ~ spl50_63 ),
inference(resolution,[],[f511,f87]) ).
fof(f87,plain,
! [X0] :
( ~ p2(sK10(X0))
| ~ sP7(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f511,plain,
( p2(sK10(sK28))
| ~ spl50_63 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f699,plain,
( spl50_63
| spl50_94
| ~ spl50_5
| spl50_50
| ~ spl50_51
| ~ spl50_62 ),
inference(avatar_split_clause,[],[f695,f505,f424,f420,f200,f697,f509]) ).
fof(f505,plain,
( spl50_62
<=> p2(sK36(sK10(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_62])]) ).
fof(f695,plain,
( ! [X2] :
( ~ r1(sK36(sK10(sK28)),X2)
| p2(sK10(sK28))
| p2(X2) )
| ~ spl50_5
| spl50_50
| ~ spl50_51
| ~ spl50_62 ),
inference(subsumption_resolution,[],[f694,f507]) ).
fof(f507,plain,
( p2(sK36(sK10(sK28)))
| ~ spl50_62 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f694,plain,
( ! [X2] :
( ~ r1(sK36(sK10(sK28)),X2)
| ~ p2(sK36(sK10(sK28)))
| p2(X2)
| p2(sK10(sK28)) )
| ~ spl50_5
| spl50_50
| ~ spl50_51 ),
inference(subsumption_resolution,[],[f674,f426]) ).
fof(f674,plain,
( ! [X2] :
( ~ r1(sK36(sK10(sK28)),X2)
| ~ r1(sK28,sK10(sK28))
| ~ p2(sK36(sK10(sK28)))
| p2(sK10(sK28))
| p2(X2) )
| ~ spl50_5
| spl50_50 ),
inference(resolution,[],[f671,f168]) ).
fof(f671,plain,
( ! [X0,X1] :
( ~ r1(sK10(sK28),X1)
| ~ r1(X1,X0)
| ~ p2(X1)
| p2(X0) )
| ~ spl50_5
| spl50_50 ),
inference(subsumption_resolution,[],[f670,f421]) ).
fof(f670,plain,
( ! [X0,X1] :
( ~ r1(X1,X0)
| sP2(sK28)
| p2(X0)
| ~ p2(X1)
| ~ r1(sK10(sK28),X1) )
| ~ spl50_5 ),
inference(resolution,[],[f86,f202]) ).
fof(f86,plain,
! [X0,X4,X5] :
( ~ sP7(X0)
| p2(X5)
| sP2(X0)
| ~ r1(X4,X5)
| ~ r1(sK10(X0),X4)
| ~ p2(X4) ),
inference(cnf_transformation,[],[f22]) ).
fof(f645,plain,
( spl50_84
| spl50_85
| ~ spl50_50 ),
inference(avatar_split_clause,[],[f636,f420,f642,f638]) ).
fof(f636,plain,
( p2(sK42(sK38))
| p2(sK24(sK42(sK38)))
| ~ spl50_50 ),
inference(subsumption_resolution,[],[f635,f165]) ).
fof(f635,plain,
( p2(sK24(sK42(sK38)))
| p2(sK42(sK38))
| p2(sK38)
| ~ spl50_50 ),
inference(subsumption_resolution,[],[f634,f164]) ).
fof(f634,plain,
( p2(sK42(sK38))
| ~ r1(sK28,sK38)
| p2(sK38)
| p2(sK24(sK42(sK38)))
| ~ spl50_50 ),
inference(resolution,[],[f624,f152]) ).
fof(f624,plain,
( ! [X0] :
( ~ r1(sK38,X0)
| p2(X0)
| p2(sK24(X0)) )
| ~ spl50_50 ),
inference(resolution,[],[f564,f164]) ).
fof(f564,plain,
( ! [X0,X1] :
( ~ r1(sK28,X1)
| p2(sK24(X0))
| p2(X0)
| ~ r1(X1,X0) )
| ~ spl50_50 ),
inference(resolution,[],[f422,f122]) ).
fof(f122,plain,
! [X2,X0,X1] :
( ~ sP2(X0)
| p2(X2)
| ~ r1(X0,X1)
| p2(sK24(X2))
| ~ r1(X1,X2) ),
inference(cnf_transformation,[],[f52]) ).
fof(f619,plain,
( spl50_82
| spl50_83
| ~ spl50_24 ),
inference(avatar_split_clause,[],[f606,f289,f616,f612]) ).
fof(f606,plain,
( p2(sK13(sK39))
| p2(sK11(sK13(sK39)))
| ~ spl50_24 ),
inference(resolution,[],[f533,f535]) ).
fof(f535,plain,
( r1(sK39,sK13(sK39))
| ~ spl50_24 ),
inference(resolution,[],[f291,f95]) ).
fof(f533,plain,
( ! [X2] :
( ~ r1(sK39,X2)
| p2(X2)
| p2(sK11(X2)) )
| ~ spl50_24 ),
inference(resolution,[],[f291,f97]) ).
fof(f97,plain,
! [X0,X1] :
( ~ sP6(X0)
| p2(sK11(X1))
| ~ r1(X0,X1)
| p2(X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f543,plain,
( spl50_68
| spl50_30
| ~ spl50_6 ),
inference(avatar_split_clause,[],[f538,f204,f316,f540]) ).
fof(f538,plain,
( p2(sK39)
| p2(sK36(sK39))
| ~ spl50_6 ),
inference(resolution,[],[f206,f169]) ).
fof(f169,plain,
! [X14] :
( ~ r1(sK28,X14)
| p2(X14)
| p2(sK36(X14)) ),
inference(cnf_transformation,[],[f84]) ).
fof(f512,plain,
( spl50_62
| spl50_63
| ~ spl50_51 ),
inference(avatar_split_clause,[],[f503,f424,f509,f505]) ).
fof(f503,plain,
( p2(sK10(sK28))
| p2(sK36(sK10(sK28)))
| ~ spl50_51 ),
inference(resolution,[],[f426,f169]) ).
fof(f336,plain,
( spl50_5
| spl50_34 ),
inference(avatar_split_clause,[],[f161,f334,f200]) ).
fof(f161,plain,
! [X21,X22,X23] :
( ~ p2(X22)
| ~ r1(sK39,X21)
| ~ r1(X22,X23)
| ~ r1(X21,X22)
| sP4(X21)
| sP5(X21)
| p2(X23)
| sP7(sK28) ),
inference(cnf_transformation,[],[f84]) ).
fof(f319,plain,
( spl50_24
| spl50_5
| ~ spl50_30 ),
inference(avatar_split_clause,[],[f162,f316,f200,f289]) ).
fof(f162,plain,
( ~ p2(sK39)
| sP7(sK28)
| sP6(sK39) ),
inference(cnf_transformation,[],[f84]) ).
fof(f295,plain,
( spl50_5
| spl50_24
| spl50_25 ),
inference(avatar_split_clause,[],[f163,f293,f289,f200]) ).
fof(f163,plain,
! [X19,X20] :
( ~ r1(sK39,X19)
| sP6(sK39)
| ~ r1(X19,X20)
| sP7(sK28)
| p2(X20)
| ~ p2(X19) ),
inference(cnf_transformation,[],[f84]) ).
fof(f258,plain,
( spl50_5
| spl50_17 ),
inference(avatar_split_clause,[],[f160,f256,f200]) ).
fof(f160,plain,
! [X21] :
( sP5(X21)
| ~ r1(sK39,X21)
| ~ p2(X21)
| sP7(sK28)
| sP4(X21) ),
inference(cnf_transformation,[],[f84]) ).
fof(f207,plain,
( spl50_5
| spl50_6 ),
inference(avatar_split_clause,[],[f159,f204,f200]) ).
fof(f159,plain,
( r1(sK28,sK39)
| sP7(sK28) ),
inference(cnf_transformation,[],[f84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL642+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 02:10:04 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (14011)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.50 % (14018)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.50 % (14019)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.50 % (14015)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.50 % (14020)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.50 % (14021)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (14017)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.51 % (14022)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.51 % (14030)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.51 % (14010)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.31/0.52 % (14023)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.31/0.52 % (14032)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.31/0.52 % (14034)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.31/0.52 % (14024)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.31/0.52 % (14012)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.31/0.52 % (14014)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.31/0.52 % (14013)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.31/0.52 % (14012)Instruction limit reached!
% 1.31/0.52 % (14012)------------------------------
% 1.31/0.52 % (14012)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.52 % (14012)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.52 % (14012)Termination reason: Unknown
% 1.31/0.52 % (14012)Termination phase: Preprocessing 3
% 1.31/0.52
% 1.31/0.52 % (14012)Memory used [KB]: 1535
% 1.31/0.52 % (14012)Time elapsed: 0.002 s
% 1.31/0.52 % (14012)Instructions burned: 3 (million)
% 1.31/0.52 % (14012)------------------------------
% 1.31/0.52 % (14012)------------------------------
% 1.31/0.52 % (14015)Instruction limit reached!
% 1.31/0.52 % (14015)------------------------------
% 1.31/0.52 % (14015)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.52 % (14033)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.31/0.52 % (14031)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.31/0.53 % (14016)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.31/0.53 % (14038)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.31/0.53 % (14024)Instruction limit reached!
% 1.31/0.53 % (14024)------------------------------
% 1.31/0.53 % (14024)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.53 % (14024)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.53 % (14024)Termination reason: Unknown
% 1.31/0.53 % (14024)Termination phase: Preprocessing 3
% 1.31/0.53
% 1.31/0.53 % (14024)Memory used [KB]: 1535
% 1.31/0.53 % (14024)Time elapsed: 0.004 s
% 1.31/0.53 % (14024)Instructions burned: 3 (million)
% 1.31/0.53 % (14024)------------------------------
% 1.31/0.53 % (14024)------------------------------
% 1.31/0.53 % (14039)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.31/0.53 % (14021)Instruction limit reached!
% 1.31/0.53 % (14021)------------------------------
% 1.31/0.53 % (14021)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.53 % (14021)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.53 % (14021)Termination reason: Unknown
% 1.31/0.53 % (14021)Termination phase: Saturation
% 1.31/0.53
% 1.31/0.53 % (14021)Memory used [KB]: 6268
% 1.31/0.53 % (14021)Time elapsed: 0.006 s
% 1.31/0.53 % (14021)Instructions burned: 7 (million)
% 1.31/0.53 % (14021)------------------------------
% 1.31/0.53 % (14021)------------------------------
% 1.31/0.53 % (14011)Instruction limit reached!
% 1.31/0.53 % (14011)------------------------------
% 1.31/0.53 % (14011)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.53 % (14011)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.53 % (14011)Termination reason: Unknown
% 1.31/0.53 % (14011)Termination phase: Saturation
% 1.31/0.53
% 1.31/0.53 % (14011)Memory used [KB]: 6524
% 1.31/0.53 % (14011)Time elapsed: 0.136 s
% 1.31/0.53 % (14011)Instructions burned: 13 (million)
% 1.31/0.53 % (14011)------------------------------
% 1.31/0.53 % (14011)------------------------------
% 1.31/0.53 % (14020)Instruction limit reached!
% 1.31/0.53 % (14020)------------------------------
% 1.31/0.53 % (14020)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.53 % (14020)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.53 % (14020)Termination reason: Unknown
% 1.31/0.53 % (14020)Termination phase: Saturation
% 1.31/0.53
% 1.31/0.53 % (14020)Memory used [KB]: 6524
% 1.31/0.53 % (14020)Time elapsed: 0.138 s
% 1.31/0.53 % (14020)Instructions burned: 14 (million)
% 1.31/0.53 % (14020)------------------------------
% 1.31/0.53 % (14020)------------------------------
% 1.31/0.53 % (14025)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.31/0.53 % (14037)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.31/0.53 % (14025)Instruction limit reached!
% 1.31/0.53 % (14025)------------------------------
% 1.31/0.53 % (14025)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.53 % (14025)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.53 % (14025)Termination reason: Unknown
% 1.31/0.53 % (14025)Termination phase: Saturation
% 1.31/0.53
% 1.31/0.53 % (14025)Memory used [KB]: 6268
% 1.31/0.53 % (14025)Time elapsed: 0.004 s
% 1.31/0.53 % (14025)Instructions burned: 7 (million)
% 1.31/0.53 % (14025)------------------------------
% 1.31/0.53 % (14025)------------------------------
% 1.31/0.53 % (14028)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.50/0.53 % (14028)Instruction limit reached!
% 1.50/0.53 % (14028)------------------------------
% 1.50/0.53 % (14028)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.53 % (14028)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.53 % (14028)Termination reason: Unknown
% 1.50/0.53 % (14028)Termination phase: Preprocessing 1
% 1.50/0.53
% 1.50/0.53 % (14028)Memory used [KB]: 1407
% 1.50/0.53 % (14028)Time elapsed: 0.002 s
% 1.50/0.53 % (14028)Instructions burned: 2 (million)
% 1.50/0.53 % (14028)------------------------------
% 1.50/0.53 % (14028)------------------------------
% 1.50/0.54 % (14035)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.50/0.54 % (14029)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.50/0.54 % (14038)Instruction limit reached!
% 1.50/0.54 % (14038)------------------------------
% 1.50/0.54 % (14038)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.54 % (14022)Instruction limit reached!
% 1.50/0.54 % (14022)------------------------------
% 1.50/0.54 % (14022)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.54 % (14038)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.54 % (14038)Termination reason: Unknown
% 1.50/0.54 % (14038)Termination phase: Saturation
% 1.50/0.54
% 1.50/0.54 % (14038)Memory used [KB]: 6268
% 1.50/0.54 % (14038)Time elapsed: 0.140 s
% 1.50/0.54 % (14038)Instructions burned: 8 (million)
% 1.50/0.54 % (14038)------------------------------
% 1.50/0.54 % (14038)------------------------------
% 1.50/0.54 % (14013)Refutation not found, incomplete strategy% (14013)------------------------------
% 1.50/0.54 % (14013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.54 % (14013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.54 % (14013)Termination reason: Refutation not found, incomplete strategy
% 1.50/0.54
% 1.50/0.54 % (14013)Memory used [KB]: 6524
% 1.50/0.54 % (14013)Time elapsed: 0.142 s
% 1.50/0.54 % (14013)Instructions burned: 20 (million)
% 1.50/0.54 % (14013)------------------------------
% 1.50/0.54 % (14013)------------------------------
% 1.50/0.54 % (14022)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.54 % (14022)Termination reason: Unknown
% 1.50/0.54 % (14022)Termination phase: Saturation
% 1.50/0.54
% 1.50/0.54 % (14022)Memory used [KB]: 1918
% 1.50/0.54 % (14022)Time elapsed: 0.124 s
% 1.50/0.54 % (14022)Instructions burned: 17 (million)
% 1.50/0.54 % (14022)------------------------------
% 1.50/0.54 % (14022)------------------------------
% 1.50/0.54 % (14014)Instruction limit reached!
% 1.50/0.54 % (14014)------------------------------
% 1.50/0.54 % (14014)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.54 % (14014)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.54 % (14014)Termination reason: Unknown
% 1.50/0.54 % (14014)Termination phase: Property scanning
% 1.50/0.54
% 1.50/0.54 % (14014)Memory used [KB]: 2942
% 1.50/0.54 % (14014)Time elapsed: 0.007 s
% 1.50/0.54 % (14014)Instructions burned: 14 (million)
% 1.50/0.54 % (14014)------------------------------
% 1.50/0.54 % (14014)------------------------------
% 1.50/0.54 % (14026)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.50/0.54 % (14027)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.50/0.54 % (14027)Instruction limit reached!
% 1.50/0.54 % (14027)------------------------------
% 1.50/0.54 % (14027)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.54 % (14027)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.54 % (14027)Termination reason: Unknown
% 1.50/0.54 % (14027)Termination phase: Preprocessing 3
% 1.50/0.54
% 1.50/0.54 % (14027)Memory used [KB]: 1535
% 1.50/0.54 % (14027)Time elapsed: 0.002 s
% 1.50/0.54 % (14027)Instructions burned: 3 (million)
% 1.50/0.54 % (14027)------------------------------
% 1.50/0.54 % (14027)------------------------------
% 1.50/0.55 % (14015)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.55 % (14015)Termination reason: Unknown
% 1.50/0.55 % (14015)Termination phase: Saturation
% 1.50/0.55
% 1.50/0.55 % (14015)Memory used [KB]: 1791
% 1.50/0.55 % (14015)Time elapsed: 0.131 s
% 1.50/0.55 % (14015)Instructions burned: 15 (million)
% 1.50/0.55 % (14015)------------------------------
% 1.50/0.55 % (14015)------------------------------
% 1.50/0.55 % (14036)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.50/0.55 % (14030)Instruction limit reached!
% 1.50/0.55 % (14030)------------------------------
% 1.50/0.55 % (14030)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.55 % (14039)Instruction limit reached!
% 1.50/0.55 % (14039)------------------------------
% 1.50/0.55 % (14039)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.55 % (14039)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.55 % (14039)Termination reason: Unknown
% 1.50/0.55 % (14039)Termination phase: Property scanning
% 1.50/0.55
% 1.50/0.55 % (14039)Memory used [KB]: 2942
% 1.50/0.55 % (14039)Time elapsed: 0.009 s
% 1.50/0.55 % (14039)Instructions burned: 24 (million)
% 1.50/0.55 % (14039)------------------------------
% 1.50/0.55 % (14039)------------------------------
% 1.50/0.55 % (14030)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.55 % (14030)Termination reason: Unknown
% 1.50/0.55 % (14030)Termination phase: Saturation
% 1.50/0.55
% 1.50/0.55 % (14030)Memory used [KB]: 6780
% 1.50/0.55 % (14030)Time elapsed: 0.141 s
% 1.50/0.55 % (14030)Instructions burned: 30 (million)
% 1.50/0.55 % (14030)------------------------------
% 1.50/0.55 % (14030)------------------------------
% 1.50/0.55 % (14019)Refutation not found, incomplete strategy% (14019)------------------------------
% 1.50/0.55 % (14019)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.55 % (14019)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.55 % (14019)Termination reason: Refutation not found, incomplete strategy
% 1.50/0.55
% 1.50/0.55 % (14019)Memory used [KB]: 6524
% 1.50/0.55 % (14019)Time elapsed: 0.142 s
% 1.50/0.55 % (14019)Instructions burned: 20 (million)
% 1.50/0.55 % (14019)------------------------------
% 1.50/0.55 % (14019)------------------------------
% 1.50/0.56 % (14029)Instruction limit reached!
% 1.50/0.56 % (14029)------------------------------
% 1.50/0.56 % (14029)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.56 % (14029)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.56 % (14029)Termination reason: Unknown
% 1.50/0.56 % (14029)Termination phase: Saturation
% 1.50/0.56
% 1.50/0.56 % (14029)Memory used [KB]: 6524
% 1.50/0.56 % (14029)Time elapsed: 0.151 s
% 1.50/0.56 % (14029)Instructions burned: 11 (million)
% 1.50/0.56 % (14029)------------------------------
% 1.50/0.56 % (14029)------------------------------
% 1.50/0.56 % (14023)Refutation not found, incomplete strategy% (14023)------------------------------
% 1.50/0.56 % (14023)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.56 % (14023)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.56 % (14023)Termination reason: Refutation not found, incomplete strategy
% 1.50/0.56
% 1.50/0.56 % (14023)Memory used [KB]: 6396
% 1.50/0.56 % (14023)Time elapsed: 0.156 s
% 1.50/0.56 % (14023)Instructions burned: 16 (million)
% 1.50/0.56 % (14023)------------------------------
% 1.50/0.56 % (14023)------------------------------
% 1.50/0.57 % (14037)Instruction limit reached!
% 1.50/0.57 % (14037)------------------------------
% 1.50/0.57 % (14037)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.57 % (14037)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.57 % (14037)Termination reason: Unknown
% 1.50/0.57 % (14037)Termination phase: Saturation
% 1.50/0.57
% 1.50/0.57 % (14037)Memory used [KB]: 6652
% 1.50/0.57 % (14037)Time elapsed: 0.160 s
% 1.50/0.57 % (14037)Instructions burned: 25 (million)
% 1.50/0.57 % (14037)------------------------------
% 1.50/0.57 % (14037)------------------------------
% 1.50/0.57 % (14017)Instruction limit reached!
% 1.50/0.57 % (14017)------------------------------
% 1.50/0.57 % (14017)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.57 % (14017)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.57 % (14017)Termination reason: Unknown
% 1.50/0.57 % (14017)Termination phase: Saturation
% 1.50/0.57
% 1.50/0.57 % (14017)Memory used [KB]: 7036
% 1.50/0.57 % (14017)Time elapsed: 0.165 s
% 1.50/0.57 % (14017)Instructions burned: 39 (million)
% 1.50/0.57 % (14017)------------------------------
% 1.50/0.57 % (14017)------------------------------
% 1.50/0.58 % (14035)First to succeed.
% 1.50/0.59 % (14016)Instruction limit reached!
% 1.50/0.59 % (14016)------------------------------
% 1.50/0.59 % (14016)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.59 % (14016)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.59 % (14016)Termination reason: Unknown
% 1.50/0.59 % (14016)Termination phase: Saturation
% 1.50/0.59
% 1.50/0.59 % (14016)Memory used [KB]: 6908
% 1.50/0.59 % (14016)Time elapsed: 0.163 s
% 1.50/0.59 % (14016)Instructions burned: 39 (million)
% 1.50/0.59 % (14016)------------------------------
% 1.50/0.59 % (14016)------------------------------
% 1.50/0.59 % (14018)Instruction limit reached!
% 1.50/0.59 % (14018)------------------------------
% 1.50/0.59 % (14018)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.59 % (14018)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.59 % (14018)Termination reason: Unknown
% 1.50/0.59 % (14018)Termination phase: Saturation
% 1.50/0.59
% 1.50/0.59 % (14018)Memory used [KB]: 7419
% 1.50/0.59 % (14018)Time elapsed: 0.192 s
% 1.50/0.59 % (14018)Instructions burned: 50 (million)
% 1.50/0.59 % (14018)------------------------------
% 1.50/0.59 % (14018)------------------------------
% 1.50/0.59 % (14033)Instruction limit reached!
% 1.50/0.59 % (14033)------------------------------
% 1.50/0.59 % (14033)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.59 % (14033)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.59 % (14033)Termination reason: Unknown
% 1.50/0.59 % (14033)Termination phase: Saturation
% 1.50/0.59
% 1.50/0.59 % (14033)Memory used [KB]: 2174
% 1.50/0.59 % (14033)Time elapsed: 0.172 s
% 1.50/0.59 % (14033)Instructions burned: 46 (million)
% 1.50/0.59 % (14033)------------------------------
% 1.50/0.59 % (14033)------------------------------
% 1.50/0.59 % (14032)Instruction limit reached!
% 1.50/0.59 % (14032)------------------------------
% 1.50/0.59 % (14032)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.59 % (14032)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.59 % (14032)Termination reason: Unknown
% 1.50/0.59 % (14032)Termination phase: Property scanning
% 1.50/0.59
% 1.50/0.59 % (14032)Memory used [KB]: 2942
% 1.50/0.59 % (14032)Time elapsed: 0.033 s
% 1.50/0.59 % (14032)Instructions burned: 84 (million)
% 1.50/0.59 % (14032)------------------------------
% 1.50/0.59 % (14032)------------------------------
% 1.50/0.61 % (14034)Instruction limit reached!
% 1.50/0.61 % (14034)------------------------------
% 1.50/0.61 % (14034)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.61 % (14034)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.61 % (14034)Termination reason: Unknown
% 1.50/0.61 % (14034)Termination phase: Saturation
% 1.50/0.61
% 1.50/0.61 % (14034)Memory used [KB]: 7164
% 1.50/0.61 % (14034)Time elapsed: 0.220 s
% 1.50/0.61 % (14034)Instructions burned: 50 (million)
% 1.50/0.61 % (14034)------------------------------
% 1.50/0.61 % (14034)------------------------------
% 1.50/0.61 % (14035)Refutation found. Thanks to Tanya!
% 1.50/0.61 % SZS status Theorem for theBenchmark
% 1.50/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.50/0.61 % (14035)------------------------------
% 1.50/0.61 % (14035)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.61 % (14035)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.61 % (14035)Termination reason: Refutation
% 1.50/0.61
% 1.50/0.61 % (14035)Memory used [KB]: 7164
% 1.50/0.61 % (14035)Time elapsed: 0.197 s
% 1.50/0.61 % (14035)Instructions burned: 29 (million)
% 1.50/0.61 % (14035)------------------------------
% 1.50/0.61 % (14035)------------------------------
% 1.50/0.61 % (14009)Success in time 0.277 s
%------------------------------------------------------------------------------