TSTP Solution File: LCL642+1.005 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL642+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n013.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 May 1 03:14:37 EDT 2024
% Result : Theorem 0.64s 0.85s
% Output : Refutation 0.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 76
% Syntax : Number of formulae : 290 ( 4 unt; 0 def)
% Number of atoms : 3261 ( 0 equ)
% Maximal formula atoms : 192 ( 11 avg)
% Number of connectives : 4933 (1962 ~;2153 |; 751 &)
% ( 29 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 8 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 : 1286 ( 989 !; 297 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1839,plain,
$false,
inference(avatar_sat_refutation,[],[f329,f333,f341,f346,f351,f463,f525,f530,f561,f876,f885,f902,f1007,f1010,f1037,f1099,f1125,f1201,f1222,f1262,f1309,f1333,f1423,f1465,f1511,f1717,f1718,f1736,f1771,f1812]) ).
fof(f1812,plain,
( ~ spl50_181
| spl50_197
| ~ spl50_242 ),
inference(avatar_contradiction_clause,[],[f1811]) ).
fof(f1811,plain,
( $false
| ~ spl50_181
| spl50_197
| ~ spl50_242 ),
inference(subsumption_resolution,[],[f1810,f1317]) ).
fof(f1317,plain,
( r1(sK28,sK12(sK28))
| ~ spl50_181 ),
inference(avatar_component_clause,[],[f1315]) ).
fof(f1315,plain,
( spl50_181
<=> r1(sK28,sK12(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_181])]) ).
fof(f1810,plain,
( ~ r1(sK28,sK12(sK28))
| spl50_197
| ~ spl50_242 ),
inference(subsumption_resolution,[],[f1804,f1460]) ).
fof(f1460,plain,
( ~ p2(sK12(sK28))
| spl50_197 ),
inference(avatar_component_clause,[],[f1459]) ).
fof(f1459,plain,
( spl50_197
<=> p2(sK12(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_197])]) ).
fof(f1804,plain,
( p2(sK12(sK28))
| ~ r1(sK28,sK12(sK28))
| ~ spl50_242 ),
inference(resolution,[],[f1770,f142]) ).
fof(f142,plain,
! [X35] :
( ~ p2(sK45(X35))
| p2(X35)
| ~ r1(sK28,X35) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( ! [X1] :
( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK29(X1),X3) )
& ~ p2(sK29(X1))
& r1(X1,sK29(X1)) )
| p2(X1)
| ~ r1(sK28,X1) )
& ( ( ! [X6] :
( ( r1(X6,sK31(X6))
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(sK30,X6) )
& r1(sK30,sK32)
& ~ p1(sK30)
& r1(sK28,sK30) )
| ! [X11] : ~ r1(sK28,X11)
| p1(sK28) )
& ( ( ! [X13] :
( ( r1(X13,sK34(X13))
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(sK33,X13) )
& r1(sK33,sK35)
& ~ p1(sK33)
& ~ p2(sK33)
& r1(sK28,sK33) )
| ! [X18] : ~ r1(sK28,X18)
| p1(sK28)
| p2(sK28) )
& ( ( sP7(sK36)
& r1(sK36,sK37)
& ~ p1(sK36)
& ~ p2(sK36)
& ~ p3(sK36)
& r1(sK28,sK36) )
| ! [X21] : ~ r1(sK28,X21)
| p1(sK28)
| p2(sK28)
| p3(sK28) )
& ( ( sP6(sK38)
& r1(sK38,sK39)
& ~ p1(sK38)
& ~ p2(sK38)
& ~ p3(sK38)
& ~ p4(sK38)
& r1(sK28,sK38) )
| ! [X24] : ~ r1(sK28,X24)
| p1(sK28)
| p2(sK28)
| p3(sK28)
| p4(sK28) )
& ( ( ! [X26] :
( ( ! [X27] :
( ~ p2(X27)
| ! [X28] :
( p2(X28)
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
& ~ p2(X26) )
| sP3(X26)
| sP4(X26)
| ~ r1(sK40,X26) )
& ( ( ! [X29] :
( ~ p2(X29)
| ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ r1(sK40,X29) )
& ~ p2(sK40) )
| sP1(sK40) )
& r1(sK28,sK40) )
| sP5(sK28) )
& ! [X31] :
( ( p1(sK41(X31))
& ~ p1(sK42(X31))
& r1(sK41(X31),sK42(X31))
& r1(X31,sK41(X31)) )
| p1(X31)
| ~ r1(sK28,X31) )
& ~ p1(sK43)
& r1(sK28,sK43)
& ! [X35] :
( ( p2(sK44(X35))
& ~ p2(sK45(X35))
& r1(sK44(X35),sK45(X35))
& r1(X35,sK44(X35)) )
| p2(X35)
| ~ r1(sK28,X35) )
& ~ p2(sK46)
& r1(sK28,sK46)
& ! [X39] :
( ( p3(sK47(X39))
& ~ p3(sK48(X39))
& r1(sK47(X39),sK48(X39))
& r1(X39,sK47(X39)) )
| p3(X39)
| ~ r1(sK28,X39) )
& ~ p3(sK49)
& r1(sK28,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] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ? [X12] :
( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ? [X19] :
( sP7(X19)
& ? [X20] : r1(X19,X20)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(X0,X19) )
| ! [X21] : ~ r1(X0,X21)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X22] :
( sP6(X22)
& ? [X23] : r1(X22,X23)
& ~ p1(X22)
& ~ p2(X22)
& ~ p3(X22)
& ~ p4(X22)
& r1(X0,X22) )
| ! [X24] : ~ r1(X0,X24)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X25] :
( ! [X26] :
( ( ! [X27] :
( ~ p2(X27)
| ! [X28] :
( p2(X28)
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
& ~ p2(X26) )
| sP3(X26)
| sP4(X26)
| ~ r1(X25,X26) )
& ( ( ! [X29] :
( ~ p2(X29)
| ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ r1(X25,X29) )
& ~ p2(X25) )
| sP1(X25) )
& r1(X0,X25) )
| sP5(X0) )
& ! [X31] :
( ? [X32] :
( p1(X32)
& ? [X33] :
( ~ p1(X33)
& r1(X32,X33) )
& r1(X31,X32) )
| p1(X31)
| ~ r1(X0,X31) )
& ? [X34] :
( ~ p1(X34)
& r1(X0,X34) )
& ! [X35] :
( ? [X36] :
( p2(X36)
& ? [X37] :
( ~ p2(X37)
& r1(X36,X37) )
& r1(X35,X36) )
| p2(X35)
| ~ r1(X0,X35) )
& ? [X38] :
( ~ p2(X38)
& r1(X0,X38) )
& ! [X39] :
( ? [X40] :
( p3(X40)
& ? [X41] :
( ~ p3(X41)
& r1(X40,X41) )
& r1(X39,X40) )
| p3(X39)
| ~ r1(X0,X39) )
& ? [X42] :
( ~ p3(X42)
& r1(X0,X42) ) )
=> ( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(sK28,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(sK28,X5) )
| ! [X11] : ~ r1(sK28,X11)
| p1(sK28) )
& ( ? [X12] :
( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(sK28,X12) )
| ! [X18] : ~ r1(sK28,X18)
| p1(sK28)
| p2(sK28) )
& ( ? [X19] :
( sP7(X19)
& ? [X20] : r1(X19,X20)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(sK28,X19) )
| ! [X21] : ~ r1(sK28,X21)
| p1(sK28)
| p2(sK28)
| p3(sK28) )
& ( ? [X22] :
( sP6(X22)
& ? [X23] : r1(X22,X23)
& ~ p1(X22)
& ~ p2(X22)
& ~ p3(X22)
& ~ p4(X22)
& r1(sK28,X22) )
| ! [X24] : ~ r1(sK28,X24)
| p1(sK28)
| p2(sK28)
| p3(sK28)
| p4(sK28) )
& ( ? [X25] :
( ! [X26] :
( ( ! [X27] :
( ~ p2(X27)
| ! [X28] :
( p2(X28)
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
& ~ p2(X26) )
| sP3(X26)
| sP4(X26)
| ~ r1(X25,X26) )
& ( ( ! [X29] :
( ~ p2(X29)
| ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ r1(X25,X29) )
& ~ p2(X25) )
| sP1(X25) )
& r1(sK28,X25) )
| sP5(sK28) )
& ! [X31] :
( ? [X32] :
( p1(X32)
& ? [X33] :
( ~ p1(X33)
& r1(X32,X33) )
& r1(X31,X32) )
| p1(X31)
| ~ r1(sK28,X31) )
& ? [X34] :
( ~ p1(X34)
& r1(sK28,X34) )
& ! [X35] :
( ? [X36] :
( p2(X36)
& ? [X37] :
( ~ p2(X37)
& r1(X36,X37) )
& r1(X35,X36) )
| p2(X35)
| ~ r1(sK28,X35) )
& ? [X38] :
( ~ p2(X38)
& r1(sK28,X38) )
& ! [X39] :
( ? [X40] :
( p3(X40)
& ? [X41] :
( ~ p3(X41)
& r1(X40,X41) )
& r1(X39,X40) )
| p3(X39)
| ~ r1(sK28,X39) )
& ? [X42] :
( ~ p3(X42)
& r1(sK28,X42) ) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
=> ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK29(X1),X3) )
& ~ p2(sK29(X1))
& r1(X1,sK29(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
( ? [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(sK28,X5) )
=> ( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(sK30,X6) )
& ? [X10] : r1(sK30,X10)
& ~ p1(sK30)
& r1(sK28,sK30) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
! [X6] :
( ? [X7] : r1(X6,X7)
=> r1(X6,sK31(X6)) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
( ? [X10] : r1(sK30,X10)
=> r1(sK30,sK32) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
( ? [X12] :
( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(sK28,X12) )
=> ( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(sK33,X13) )
& ? [X17] : r1(sK33,X17)
& ~ p1(sK33)
& ~ p2(sK33)
& r1(sK28,sK33) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X13] :
( ? [X14] : r1(X13,X14)
=> r1(X13,sK34(X13)) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
( ? [X17] : r1(sK33,X17)
=> r1(sK33,sK35) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
( ? [X19] :
( sP7(X19)
& ? [X20] : r1(X19,X20)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(sK28,X19) )
=> ( sP7(sK36)
& ? [X20] : r1(sK36,X20)
& ~ p1(sK36)
& ~ p2(sK36)
& ~ p3(sK36)
& r1(sK28,sK36) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
( ? [X20] : r1(sK36,X20)
=> r1(sK36,sK37) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
( ? [X22] :
( sP6(X22)
& ? [X23] : r1(X22,X23)
& ~ p1(X22)
& ~ p2(X22)
& ~ p3(X22)
& ~ p4(X22)
& r1(sK28,X22) )
=> ( sP6(sK38)
& ? [X23] : r1(sK38,X23)
& ~ p1(sK38)
& ~ p2(sK38)
& ~ p3(sK38)
& ~ p4(sK38)
& r1(sK28,sK38) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
( ? [X23] : r1(sK38,X23)
=> r1(sK38,sK39) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
( ? [X25] :
( ! [X26] :
( ( ! [X27] :
( ~ p2(X27)
| ! [X28] :
( p2(X28)
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
& ~ p2(X26) )
| sP3(X26)
| sP4(X26)
| ~ r1(X25,X26) )
& ( ( ! [X29] :
( ~ p2(X29)
| ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ r1(X25,X29) )
& ~ p2(X25) )
| sP1(X25) )
& r1(sK28,X25) )
=> ( ! [X26] :
( ( ! [X27] :
( ~ p2(X27)
| ! [X28] :
( p2(X28)
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
& ~ p2(X26) )
| sP3(X26)
| sP4(X26)
| ~ r1(sK40,X26) )
& ( ( ! [X29] :
( ~ p2(X29)
| ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ r1(sK40,X29) )
& ~ p2(sK40) )
| sP1(sK40) )
& r1(sK28,sK40) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X31] :
( ? [X32] :
( p1(X32)
& ? [X33] :
( ~ p1(X33)
& r1(X32,X33) )
& r1(X31,X32) )
=> ( p1(sK41(X31))
& ? [X33] :
( ~ p1(X33)
& r1(sK41(X31),X33) )
& r1(X31,sK41(X31)) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X31] :
( ? [X33] :
( ~ p1(X33)
& r1(sK41(X31),X33) )
=> ( ~ p1(sK42(X31))
& r1(sK41(X31),sK42(X31)) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
( ? [X34] :
( ~ p1(X34)
& r1(sK28,X34) )
=> ( ~ p1(sK43)
& r1(sK28,sK43) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
! [X35] :
( ? [X36] :
( p2(X36)
& ? [X37] :
( ~ p2(X37)
& r1(X36,X37) )
& r1(X35,X36) )
=> ( p2(sK44(X35))
& ? [X37] :
( ~ p2(X37)
& r1(sK44(X35),X37) )
& r1(X35,sK44(X35)) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
! [X35] :
( ? [X37] :
( ~ p2(X37)
& r1(sK44(X35),X37) )
=> ( ~ p2(sK45(X35))
& r1(sK44(X35),sK45(X35)) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
( ? [X38] :
( ~ p2(X38)
& r1(sK28,X38) )
=> ( ~ p2(sK46)
& r1(sK28,sK46) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X39] :
( ? [X40] :
( p3(X40)
& ? [X41] :
( ~ p3(X41)
& r1(X40,X41) )
& r1(X39,X40) )
=> ( p3(sK47(X39))
& ? [X41] :
( ~ p3(X41)
& r1(sK47(X39),X41) )
& r1(X39,sK47(X39)) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
! [X39] :
( ? [X41] :
( ~ p3(X41)
& r1(sK47(X39),X41) )
=> ( ~ p3(sK48(X39))
& r1(sK47(X39),sK48(X39)) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
( ? [X42] :
( ~ p3(X42)
& r1(sK28,X42) )
=> ( ~ p3(sK49)
& r1(sK28,sK49) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ? [X12] :
( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ? [X19] :
( sP7(X19)
& ? [X20] : r1(X19,X20)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(X0,X19) )
| ! [X21] : ~ r1(X0,X21)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X22] :
( sP6(X22)
& ? [X23] : r1(X22,X23)
& ~ p1(X22)
& ~ p2(X22)
& ~ p3(X22)
& ~ p4(X22)
& r1(X0,X22) )
| ! [X24] : ~ r1(X0,X24)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X25] :
( ! [X26] :
( ( ! [X27] :
( ~ p2(X27)
| ! [X28] :
( p2(X28)
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
& ~ p2(X26) )
| sP3(X26)
| sP4(X26)
| ~ r1(X25,X26) )
& ( ( ! [X29] :
( ~ p2(X29)
| ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ r1(X25,X29) )
& ~ p2(X25) )
| sP1(X25) )
& r1(X0,X25) )
| sP5(X0) )
& ! [X31] :
( ? [X32] :
( p1(X32)
& ? [X33] :
( ~ p1(X33)
& r1(X32,X33) )
& r1(X31,X32) )
| p1(X31)
| ~ r1(X0,X31) )
& ? [X34] :
( ~ p1(X34)
& r1(X0,X34) )
& ! [X35] :
( ? [X36] :
( p2(X36)
& ? [X37] :
( ~ p2(X37)
& r1(X36,X37) )
& r1(X35,X36) )
| p2(X35)
| ~ r1(X0,X35) )
& ? [X38] :
( ~ p2(X38)
& r1(X0,X38) )
& ! [X39] :
( ? [X40] :
( p3(X40)
& ? [X41] :
( ~ p3(X41)
& r1(X40,X41) )
& r1(X39,X40) )
| p3(X39)
| ~ r1(X0,X39) )
& ? [X42] :
( ~ p3(X42)
& r1(X0,X42) ) ),
inference(rectify,[],[f16]) ).
fof(f16,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ? [X12] :
( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ? [X19] :
( sP7(X19)
& ? [X24] : r1(X19,X24)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(X0,X19) )
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X26] :
( sP6(X26)
& ? [X31] : r1(X26,X31)
& ~ p1(X26)
& ~ p2(X26)
& ~ p3(X26)
& ~ p4(X26)
& r1(X0,X26) )
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X33] :
( ! [X34] :
( ( ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
& ~ p2(X34) )
| sP3(X34)
| sP4(X34)
| ~ r1(X33,X34) )
& ( ( ! [X54] :
( ~ p2(X54)
| ! [X55] :
( p2(X55)
| ~ r1(X54,X55) )
| ~ r1(X33,X54) )
& ~ p2(X33) )
| sP1(X33) )
& r1(X0,X33) )
| sP5(X0) )
& ! [X72] :
( ? [X73] :
( p1(X73)
& ? [X74] :
( ~ p1(X74)
& r1(X73,X74) )
& r1(X72,X73) )
| p1(X72)
| ~ r1(X0,X72) )
& ? [X75] :
( ~ p1(X75)
& r1(X0,X75) )
& ! [X76] :
( ? [X77] :
( p2(X77)
& ? [X78] :
( ~ p2(X78)
& r1(X77,X78) )
& r1(X76,X77) )
| p2(X76)
| ~ r1(X0,X76) )
& ? [X79] :
( ~ p2(X79)
& r1(X0,X79) )
& ! [X80] :
( ? [X81] :
( p3(X81)
& ? [X82] :
( ~ p3(X82)
& r1(X81,X82) )
& r1(X80,X81) )
| p3(X80)
| ~ r1(X0,X80) )
& ? [X83] :
( ~ p3(X83)
& r1(X0,X83) ) ),
inference(definition_folding,[],[f7,f15,f14,f13,f12,f11,f10,f9,f8]) ).
fof(f8,plain,
! [X0] :
( ! [X68] :
( ! [X69] :
( ? [X70] :
( p2(X70)
& ? [X71] :
( ~ p2(X71)
& r1(X70,X71) )
& r1(X69,X70) )
| p2(X69)
| ~ r1(X68,X69) )
| ~ r1(X0,X68) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f9,plain,
! [X33] :
( ( ! [X56] :
( ? [X57] :
( p2(X57)
& ? [X58] :
( ~ p2(X58)
& r1(X57,X58) )
& r1(X56,X57) )
| p2(X56)
| ~ r1(X33,X56) )
& ? [X59] :
( ? [X60] :
( ! [X61] :
( ~ p2(X61)
| ! [X62] :
( p2(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
& ~ p2(X60)
& r1(X59,X60) )
& r1(X33,X59) ) )
| ~ sP1(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f10,plain,
! [X44] :
( ! [X50] :
( ! [X51] :
( ? [X52] :
( p2(X52)
& ? [X53] :
( ~ p2(X53)
& r1(X52,X53) )
& r1(X51,X52) )
| p2(X51)
| ~ r1(X50,X51) )
| ~ r1(X44,X50) )
| ~ sP2(X44) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f11,plain,
! [X34] :
( ( ! [X37] :
( ? [X38] :
( p2(X38)
& ? [X39] :
( ~ p2(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p2(X37)
| ~ r1(X34,X37) )
& ? [X40] :
( ? [X41] :
( ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
& ~ p2(X41)
& r1(X40,X41) )
& r1(X34,X40) ) )
| ~ sP3(X34) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f12,plain,
! [X34] :
( ! [X44] :
( ( ( ? [X45] :
( p2(X45)
& ? [X46] :
( ~ p2(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p2(X44) )
& ( ? [X47] :
( ! [X48] :
( ~ p2(X48)
| ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
& ~ p2(X47)
& r1(X44,X47) )
| sP2(X44) ) )
| ~ r1(X34,X44) )
| ~ sP4(X34) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f13,plain,
! [X0] :
( ( ( ? [X63] :
( p2(X63)
& ? [X64] :
( ~ p2(X64)
& r1(X63,X64) )
& r1(X0,X63) )
| p2(X0) )
& ( ? [X65] :
( ! [X66] :
( ~ p2(X66)
| ! [X67] :
( p2(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
& ~ p2(X65)
& r1(X0,X65) )
| sP0(X0) ) )
| ~ sP5(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f14,plain,
! [X26] :
( ! [X27] :
( ( ? [X28] : r1(X27,X28)
& ~ p1(X27)
& ~ p2(X27)
& ~ p3(X27)
& ~ p4(X27) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
| ~ sP6(X26) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f15,plain,
! [X19] :
( ! [X20] :
( ( ? [X21] : r1(X20,X21)
& ~ p1(X20)
& ~ p2(X20)
& ~ p3(X20) )
| ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
| ~ sP7(X19) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f7,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ? [X12] :
( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ? [X19] :
( ! [X20] :
( ( ? [X21] : r1(X20,X21)
& ~ p1(X20)
& ~ p2(X20)
& ~ p3(X20) )
| ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
& ? [X24] : r1(X19,X24)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(X0,X19) )
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X26] :
( ! [X27] :
( ( ? [X28] : r1(X27,X28)
& ~ p1(X27)
& ~ p2(X27)
& ~ p3(X27)
& ~ p4(X27) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
& ? [X31] : r1(X26,X31)
& ~ p1(X26)
& ~ p2(X26)
& ~ p3(X26)
& ~ p4(X26)
& r1(X0,X26) )
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X33] :
( ! [X34] :
( ( ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
& ~ p2(X34) )
| ( ! [X37] :
( ? [X38] :
( p2(X38)
& ? [X39] :
( ~ p2(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p2(X37)
| ~ r1(X34,X37) )
& ? [X40] :
( ? [X41] :
( ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
& ~ p2(X41)
& r1(X40,X41) )
& r1(X34,X40) ) )
| ! [X44] :
( ( ( ? [X45] :
( p2(X45)
& ? [X46] :
( ~ p2(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p2(X44) )
& ( ? [X47] :
( ! [X48] :
( ~ p2(X48)
| ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
& ~ p2(X47)
& r1(X44,X47) )
| ! [X50] :
( ! [X51] :
( ? [X52] :
( p2(X52)
& ? [X53] :
( ~ p2(X53)
& r1(X52,X53) )
& r1(X51,X52) )
| p2(X51)
| ~ r1(X50,X51) )
| ~ r1(X44,X50) ) ) )
| ~ r1(X34,X44) )
| ~ r1(X33,X34) )
& ( ( ! [X54] :
( ~ p2(X54)
| ! [X55] :
( p2(X55)
| ~ r1(X54,X55) )
| ~ r1(X33,X54) )
& ~ p2(X33) )
| ( ! [X56] :
( ? [X57] :
( p2(X57)
& ? [X58] :
( ~ p2(X58)
& r1(X57,X58) )
& r1(X56,X57) )
| p2(X56)
| ~ r1(X33,X56) )
& ? [X59] :
( ? [X60] :
( ! [X61] :
( ~ p2(X61)
| ! [X62] :
( p2(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
& ~ p2(X60)
& r1(X59,X60) )
& r1(X33,X59) ) ) )
& r1(X0,X33) )
| ( ( ? [X63] :
( p2(X63)
& ? [X64] :
( ~ p2(X64)
& r1(X63,X64) )
& r1(X0,X63) )
| p2(X0) )
& ( ? [X65] :
( ! [X66] :
( ~ p2(X66)
| ! [X67] :
( p2(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
& ~ p2(X65)
& r1(X0,X65) )
| ! [X68] :
( ! [X69] :
( ? [X70] :
( p2(X70)
& ? [X71] :
( ~ p2(X71)
& r1(X70,X71) )
& r1(X69,X70) )
| p2(X69)
| ~ r1(X68,X69) )
| ~ r1(X0,X68) ) ) ) )
& ! [X72] :
( ? [X73] :
( p1(X73)
& ? [X74] :
( ~ p1(X74)
& r1(X73,X74) )
& r1(X72,X73) )
| p1(X72)
| ~ r1(X0,X72) )
& ? [X75] :
( ~ p1(X75)
& r1(X0,X75) )
& ! [X76] :
( ? [X77] :
( p2(X77)
& ? [X78] :
( ~ p2(X78)
& r1(X77,X78) )
& r1(X76,X77) )
| p2(X76)
| ~ r1(X0,X76) )
& ? [X79] :
( ~ p2(X79)
& r1(X0,X79) )
& ! [X80] :
( ? [X81] :
( p3(X81)
& ? [X82] :
( ~ p3(X82)
& r1(X81,X82) )
& r1(X80,X81) )
| p3(X80)
| ~ r1(X0,X80) )
& ? [X83] :
( ~ p3(X83)
& r1(X0,X83) ) ),
inference(flattening,[],[f6]) ).
fof(f6,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ? [X12] :
( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ? [X19] :
( ! [X20] :
( ( ? [X21] : r1(X20,X21)
& ~ p1(X20)
& ~ p2(X20)
& ~ p3(X20) )
| ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
& ? [X24] : r1(X19,X24)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(X0,X19) )
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X26] :
( ! [X27] :
( ( ? [X28] : r1(X27,X28)
& ~ p1(X27)
& ~ p2(X27)
& ~ p3(X27)
& ~ p4(X27) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
& ? [X31] : r1(X26,X31)
& ~ p1(X26)
& ~ p2(X26)
& ~ p3(X26)
& ~ p4(X26)
& r1(X0,X26) )
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X33] :
( ! [X34] :
( ( ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
& ~ p2(X34) )
| ( ! [X37] :
( ? [X38] :
( p2(X38)
& ? [X39] :
( ~ p2(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p2(X37)
| ~ r1(X34,X37) )
& ? [X40] :
( ? [X41] :
( ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
& ~ p2(X41)
& r1(X40,X41) )
& r1(X34,X40) ) )
| ! [X44] :
( ( ( ? [X45] :
( p2(X45)
& ? [X46] :
( ~ p2(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p2(X44) )
& ( ? [X47] :
( ! [X48] :
( ~ p2(X48)
| ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
& ~ p2(X47)
& r1(X44,X47) )
| ! [X50] :
( ! [X51] :
( ? [X52] :
( p2(X52)
& ? [X53] :
( ~ p2(X53)
& r1(X52,X53) )
& r1(X51,X52) )
| p2(X51)
| ~ r1(X50,X51) )
| ~ r1(X44,X50) ) ) )
| ~ r1(X34,X44) )
| ~ r1(X33,X34) )
& ( ( ! [X54] :
( ~ p2(X54)
| ! [X55] :
( p2(X55)
| ~ r1(X54,X55) )
| ~ r1(X33,X54) )
& ~ p2(X33) )
| ( ! [X56] :
( ? [X57] :
( p2(X57)
& ? [X58] :
( ~ p2(X58)
& r1(X57,X58) )
& r1(X56,X57) )
| p2(X56)
| ~ r1(X33,X56) )
& ? [X59] :
( ? [X60] :
( ! [X61] :
( ~ p2(X61)
| ! [X62] :
( p2(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
& ~ p2(X60)
& r1(X59,X60) )
& r1(X33,X59) ) ) )
& r1(X0,X33) )
| ( ( ? [X63] :
( p2(X63)
& ? [X64] :
( ~ p2(X64)
& r1(X63,X64) )
& r1(X0,X63) )
| p2(X0) )
& ( ? [X65] :
( ! [X66] :
( ~ p2(X66)
| ! [X67] :
( p2(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
& ~ p2(X65)
& r1(X0,X65) )
| ! [X68] :
( ! [X69] :
( ? [X70] :
( p2(X70)
& ? [X71] :
( ~ p2(X71)
& r1(X70,X71) )
& r1(X69,X70) )
| p2(X69)
| ~ r1(X68,X69) )
| ~ r1(X0,X68) ) ) ) )
& ! [X72] :
( ? [X73] :
( p1(X73)
& ? [X74] :
( ~ p1(X74)
& r1(X73,X74) )
& r1(X72,X73) )
| p1(X72)
| ~ r1(X0,X72) )
& ? [X75] :
( ~ p1(X75)
& r1(X0,X75) )
& ! [X76] :
( ? [X77] :
( p2(X77)
& ? [X78] :
( ~ p2(X78)
& r1(X77,X78) )
& r1(X76,X77) )
| p2(X76)
| ~ r1(X0,X76) )
& ? [X79] :
( ~ p2(X79)
& r1(X0,X79) )
& ! [X80] :
( ? [X81] :
( p3(X81)
& ? [X82] :
( ~ p3(X82)
& r1(X81,X82) )
& r1(X80,X81) )
| p3(X80)
| ~ r1(X0,X80) )
& ? [X83] :
( ~ p3(X83)
& r1(X0,X83) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X5] :
( ~ ! [X6] :
( ~ ( ! [X7] : ~ r1(X6,X7)
| p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ! [X10] : ~ r1(X5,X10)
| p1(X5)
| ~ r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ~ ! [X12] :
( ~ ! [X13] :
( ~ ( ! [X14] : ~ r1(X13,X14)
| p1(X13)
| p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
| ! [X17] : ~ r1(X12,X17)
| p1(X12)
| p2(X12)
| ~ r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ~ ! [X19] :
( ~ ! [X20] :
( ~ ( ! [X21] : ~ r1(X20,X21)
| p1(X20)
| p2(X20)
| p3(X20) )
| ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
| ! [X24] : ~ r1(X19,X24)
| p1(X19)
| p2(X19)
| p3(X19)
| ~ r1(X0,X19) )
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X26] :
( ~ ! [X27] :
( ~ ( ! [X28] : ~ r1(X27,X28)
| p1(X27)
| p2(X27)
| p3(X27)
| p4(X27) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
| ! [X31] : ~ r1(X26,X31)
| p1(X26)
| p2(X26)
| p3(X26)
| p4(X26)
| ~ r1(X0,X26) )
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X33] :
( ~ ! [X34] :
( ~ ( ( ~ ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| p2(X34) )
& ( ~ ! [X37] :
( ~ ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| p2(X37)
| ~ r1(X34,X37) )
| ! [X40] :
( ! [X41] :
( ~ ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X34,X40) ) ) )
| ! [X44] :
( ( ( ~ ! [X45] :
( ~ p2(X45)
| ! [X46] :
( p2(X46)
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| p2(X44) )
& ( ~ ! [X47] :
( ~ ! [X48] :
( ~ p2(X48)
| ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| p2(X47)
| ~ r1(X44,X47) )
| ! [X50] :
( ! [X51] :
( ~ ! [X52] :
( ~ p2(X52)
| ! [X53] :
( p2(X53)
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| p2(X51)
| ~ r1(X50,X51) )
| ~ r1(X44,X50) ) ) )
| ~ r1(X34,X44) )
| ~ r1(X33,X34) )
| ( ( ~ ! [X54] :
( ~ p2(X54)
| ! [X55] :
( p2(X55)
| ~ r1(X54,X55) )
| ~ r1(X33,X54) )
| p2(X33) )
& ( ~ ! [X56] :
( ~ ! [X57] :
( ~ p2(X57)
| ! [X58] :
( p2(X58)
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| p2(X56)
| ~ r1(X33,X56) )
| ! [X59] :
( ! [X60] :
( ~ ! [X61] :
( ~ p2(X61)
| ! [X62] :
( p2(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| p2(X60)
| ~ r1(X59,X60) )
| ~ r1(X33,X59) ) ) )
| ~ r1(X0,X33) )
| ( ( ~ ! [X63] :
( ~ p2(X63)
| ! [X64] :
( p2(X64)
| ~ r1(X63,X64) )
| ~ r1(X0,X63) )
| p2(X0) )
& ( ~ ! [X65] :
( ~ ! [X66] :
( ~ p2(X66)
| ! [X67] :
( p2(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
| p2(X65)
| ~ r1(X0,X65) )
| ! [X68] :
( ! [X69] :
( ~ ! [X70] :
( ~ p2(X70)
| ! [X71] :
( p2(X71)
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| p2(X69)
| ~ r1(X68,X69) )
| ~ r1(X0,X68) ) ) ) ) )
| ~ ! [X72] :
( ~ ! [X73] :
( ~ p1(X73)
| ! [X74] :
( p1(X74)
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| p1(X72)
| ~ r1(X0,X72) )
| ! [X75] :
( p1(X75)
| ~ r1(X0,X75) )
| ~ ! [X76] :
( ~ ! [X77] :
( ~ p2(X77)
| ! [X78] :
( p2(X78)
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| p2(X76)
| ~ r1(X0,X76) )
| ! [X79] :
( p2(X79)
| ~ r1(X0,X79) )
| ~ ! [X80] :
( ~ ! [X81] :
( ~ p3(X81)
| ! [X82] :
( p3(X82)
| ~ r1(X81,X82) )
| ~ r1(X80,X81) )
| p3(X80)
| ~ r1(X0,X80) )
| ! [X83] :
( p3(X83)
| ~ r1(X0,X83) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X5] :
( ~ ! [X6] :
( ~ ( ! [X7] : ~ r1(X6,X7)
| p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ! [X10] : ~ r1(X5,X10)
| p1(X5)
| ~ r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ~ ! [X12] :
( ~ ! [X13] :
( ~ ( ! [X14] : ~ r1(X13,X14)
| p1(X13)
| p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
| ! [X17] : ~ r1(X12,X17)
| p1(X12)
| p2(X12)
| ~ r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ~ ! [X19] :
( ~ ! [X20] :
( ~ ( ! [X21] : ~ r1(X20,X21)
| p1(X20)
| p2(X20)
| p3(X20) )
| ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
| ! [X24] : ~ r1(X19,X24)
| p1(X19)
| p2(X19)
| p3(X19)
| ~ r1(X0,X19) )
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X26] :
( ~ ! [X27] :
( ~ ( ! [X28] : ~ r1(X27,X28)
| p1(X27)
| p2(X27)
| p3(X27)
| p4(X27) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
| ! [X31] : ~ r1(X26,X31)
| p1(X26)
| p2(X26)
| p3(X26)
| p4(X26)
| ~ r1(X0,X26) )
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X33] :
( ~ ! [X34] :
( ~ ( ( ~ ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| p2(X34) )
& ( ~ ! [X37] :
( ~ ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| p2(X37)
| ~ r1(X34,X37) )
| ! [X40] :
( ! [X41] :
( ~ ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X34,X40) ) ) )
| ! [X44] :
( ( ( ~ ! [X45] :
( ~ p2(X45)
| ! [X46] :
( p2(X46)
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| p2(X44) )
& ( ~ ! [X47] :
( ~ ! [X48] :
( ~ p2(X48)
| ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| p2(X47)
| ~ r1(X44,X47) )
| ! [X50] :
( ! [X51] :
( ~ ! [X52] :
( ~ p2(X52)
| ! [X53] :
( p2(X53)
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| p2(X51)
| ~ r1(X50,X51) )
| ~ r1(X44,X50) ) ) )
| ~ r1(X34,X44) )
| ~ r1(X33,X34) )
| ( ( ~ ! [X54] :
( ~ p2(X54)
| ! [X55] :
( p2(X55)
| ~ r1(X54,X55) )
| ~ r1(X33,X54) )
| p2(X33) )
& ( ~ ! [X56] :
( ~ ! [X57] :
( ~ p2(X57)
| ! [X58] :
( p2(X58)
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| p2(X56)
| ~ r1(X33,X56) )
| ! [X59] :
( ! [X60] :
( ~ ! [X61] :
( ~ p2(X61)
| ! [X62] :
( p2(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| p2(X60)
| ~ r1(X59,X60) )
| ~ r1(X33,X59) ) ) )
| ~ r1(X0,X33) )
| ( ( ~ ! [X63] :
( ~ p2(X63)
| ! [X64] :
( p2(X64)
| ~ r1(X63,X64) )
| ~ r1(X0,X63) )
| p2(X0) )
& ( ~ ! [X65] :
( ~ ! [X66] :
( ~ p2(X66)
| ! [X67] :
( p2(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
| p2(X65)
| ~ r1(X0,X65) )
| ! [X68] :
( ! [X69] :
( ~ ! [X70] :
( ~ p2(X70)
| ! [X71] :
( p2(X71)
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| p2(X69)
| ~ r1(X68,X69) )
| ~ r1(X0,X68) ) ) ) ) )
| ~ ! [X72] :
( ~ ! [X73] :
( ~ p1(X73)
| ! [X74] :
( p1(X74)
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| p1(X72)
| ~ r1(X0,X72) )
| ! [X75] :
( p1(X75)
| ~ r1(X0,X75) )
| ~ ! [X76] :
( ~ ! [X77] :
( ~ p2(X77)
| ! [X78] :
( p2(X78)
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| p2(X76)
| ~ r1(X0,X76) )
| ! [X79] :
( p2(X79)
| ~ r1(X0,X79) )
| ~ ! [X80] :
( ~ ! [X81] :
( ~ p3(X81)
| ! [X82] :
( p3(X82)
| ~ r1(X81,X82) )
| ~ r1(X80,X81) )
| p3(X80)
| ~ r1(X0,X80) )
| ! [X83] :
( p3(X83)
| ~ r1(X0,X83) ) ),
inference(true_and_false_elimination,[],[f3]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X5] :
( ~ ! [X6] :
( ~ ( ! [X7] :
( $false
| ~ r1(X6,X7) )
| p1(X6) )
| ! [X8] :
( ! [X9] :
( $false
| ~ r1(X8,X9) )
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ! [X10] :
( $false
| ~ r1(X5,X10) )
| p1(X5)
| ~ r1(X0,X5) )
| ! [X11] :
( $false
| ~ r1(X0,X11) )
| p1(X0) )
& ( ~ ! [X12] :
( ~ ! [X13] :
( ~ ( ! [X14] :
( $false
| ~ r1(X13,X14) )
| p1(X13)
| p2(X13) )
| ! [X15] :
( ! [X16] :
( $false
| ~ r1(X15,X16) )
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
| ! [X17] :
( $false
| ~ r1(X12,X17) )
| p1(X12)
| p2(X12)
| ~ r1(X0,X12) )
| ! [X18] :
( $false
| ~ r1(X0,X18) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X19] :
( ~ ! [X20] :
( ~ ( ! [X21] :
( $false
| ~ r1(X20,X21) )
| p1(X20)
| p2(X20)
| p3(X20) )
| ! [X22] :
( ! [X23] :
( $false
| ~ r1(X22,X23) )
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
| ! [X24] :
( $false
| ~ r1(X19,X24) )
| p1(X19)
| p2(X19)
| p3(X19)
| ~ r1(X0,X19) )
| ! [X25] :
( $false
| ~ r1(X0,X25) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X26] :
( ~ ! [X27] :
( ~ ( ! [X28] :
( $false
| ~ r1(X27,X28) )
| p1(X27)
| p2(X27)
| p3(X27)
| p4(X27) )
| ! [X29] :
( ! [X30] :
( $false
| ~ r1(X29,X30) )
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
| ! [X31] :
( $false
| ~ r1(X26,X31) )
| p1(X26)
| p2(X26)
| p3(X26)
| p4(X26)
| ~ r1(X0,X26) )
| ! [X32] :
( $false
| ~ r1(X0,X32) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X33] :
( ~ ! [X34] :
( ~ ( ( ~ ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| p2(X34) )
& ( ~ ! [X37] :
( ~ ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| p2(X37)
| ~ r1(X34,X37) )
| ! [X40] :
( ! [X41] :
( ~ ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X34,X40) ) ) )
| ! [X44] :
( ( ( ~ ! [X45] :
( ~ p2(X45)
| ! [X46] :
( p2(X46)
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| p2(X44) )
& ( ~ ! [X47] :
( ~ ! [X48] :
( ~ p2(X48)
| ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| p2(X47)
| ~ r1(X44,X47) )
| ! [X50] :
( ! [X51] :
( ~ ! [X52] :
( ~ p2(X52)
| ! [X53] :
( p2(X53)
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| p2(X51)
| ~ r1(X50,X51) )
| ~ r1(X44,X50) ) ) )
| ~ r1(X34,X44) )
| ~ r1(X33,X34) )
| ( ( ~ ! [X54] :
( ~ p2(X54)
| ! [X55] :
( p2(X55)
| ~ r1(X54,X55) )
| ~ r1(X33,X54) )
| p2(X33) )
& ( ~ ! [X56] :
( ~ ! [X57] :
( ~ p2(X57)
| ! [X58] :
( p2(X58)
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| p2(X56)
| ~ r1(X33,X56) )
| ! [X59] :
( ! [X60] :
( ~ ! [X61] :
( ~ p2(X61)
| ! [X62] :
( p2(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| p2(X60)
| ~ r1(X59,X60) )
| ~ r1(X33,X59) ) ) )
| ~ r1(X0,X33) )
| ( ( ~ ! [X63] :
( ~ p2(X63)
| ! [X64] :
( p2(X64)
| ~ r1(X63,X64) )
| ~ r1(X0,X63) )
| p2(X0) )
& ( ~ ! [X65] :
( ~ ! [X66] :
( ~ p2(X66)
| ! [X67] :
( p2(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
| p2(X65)
| ~ r1(X0,X65) )
| ! [X68] :
( ! [X69] :
( ~ ! [X70] :
( ~ p2(X70)
| ! [X71] :
( p2(X71)
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| p2(X69)
| ~ r1(X68,X69) )
| ~ r1(X0,X68) ) ) ) ) )
| ~ ! [X72] :
( ~ ! [X73] :
( ~ p1(X73)
| ! [X74] :
( p1(X74)
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| p1(X72)
| ~ r1(X0,X72) )
| ! [X75] :
( p1(X75)
| ~ r1(X0,X75) )
| ~ ! [X76] :
( ~ ! [X77] :
( ~ p2(X77)
| ! [X78] :
( p2(X78)
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| p2(X76)
| ~ r1(X0,X76) )
| ! [X79] :
( p2(X79)
| ~ r1(X0,X79) )
| ~ ! [X80] :
( ~ ! [X81] :
( ~ p3(X81)
| ! [X82] :
( p3(X82)
| ~ r1(X81,X82) )
| ~ r1(X80,X81) )
| p3(X80)
| ~ r1(X0,X80) )
| ! [X83] :
( p3(X83)
| ~ r1(X0,X83) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) )
| ! [X1] :
( ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) ) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p3(X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) )
| ! [X1] :
( ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) ) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p3(X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.WnU6Ho2lDa/Vampire---4.8_28931',main) ).
fof(f1770,plain,
( p2(sK45(sK12(sK28)))
| ~ spl50_242 ),
inference(avatar_component_clause,[],[f1768]) ).
fof(f1768,plain,
( spl50_242
<=> p2(sK45(sK12(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_242])]) ).
fof(f1771,plain,
( spl50_197
| spl50_242
| ~ spl50_181
| ~ spl50_198 ),
inference(avatar_split_clause,[],[f1766,f1463,f1315,f1768,f1459]) ).
fof(f1463,plain,
( spl50_198
<=> ! [X0] :
( p2(X0)
| ~ r1(sK44(sK12(sK28)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_198])]) ).
fof(f1766,plain,
( p2(sK45(sK12(sK28)))
| p2(sK12(sK28))
| ~ spl50_181
| ~ spl50_198 ),
inference(subsumption_resolution,[],[f1561,f1317]) ).
fof(f1561,plain,
( p2(sK45(sK12(sK28)))
| p2(sK12(sK28))
| ~ r1(sK28,sK12(sK28))
| ~ spl50_198 ),
inference(resolution,[],[f1464,f141]) ).
fof(f141,plain,
! [X35] :
( r1(sK44(X35),sK45(X35))
| p2(X35)
| ~ r1(sK28,X35) ),
inference(cnf_transformation,[],[f84]) ).
fof(f1464,plain,
( ! [X0] :
( ~ r1(sK44(sK12(sK28)),X0)
| p2(X0) )
| ~ spl50_198 ),
inference(avatar_component_clause,[],[f1463]) ).
fof(f1736,plain,
~ spl50_42,
inference(avatar_contradiction_clause,[],[f1735]) ).
fof(f1735,plain,
( $false
| ~ spl50_42 ),
inference(subsumption_resolution,[],[f1722,f139]) ).
fof(f139,plain,
~ p2(sK46),
inference(cnf_transformation,[],[f84]) ).
fof(f1722,plain,
( p2(sK46)
| ~ spl50_42 ),
inference(resolution,[],[f385,f138]) ).
fof(f138,plain,
r1(sK28,sK46),
inference(cnf_transformation,[],[f84]) ).
fof(f385,plain,
( ! [X0] :
( ~ r1(sK28,X0)
| p2(X0) )
| ~ spl50_42 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f384,plain,
( spl50_42
<=> ! [X0] :
( p2(X0)
| ~ r1(sK28,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_42])]) ).
fof(f1718,plain,
( spl50_182
| ~ spl50_184 ),
inference(avatar_split_clause,[],[f1513,f1327,f1319]) ).
fof(f1319,plain,
( spl50_182
<=> ! [X2,X4,X0,X3,X1] :
( ~ r1(X0,sK29(X1))
| ~ r1(sK28,X0)
| ~ sP0(X4)
| ~ r1(X4,X3)
| ~ r1(X3,sK29(X1))
| ~ r1(sK28,X1)
| p2(X1)
| ~ r1(sK26(sK29(X1)),X2)
| p2(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_182])]) ).
fof(f1327,plain,
( spl50_184
<=> sP0(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_184])]) ).
fof(f1513,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(sK28,X0)
| ~ r1(X0,sK29(X1))
| p2(X2)
| ~ r1(sK26(sK29(X1)),X2)
| p2(X1)
| ~ r1(sK28,X1)
| ~ r1(X3,sK29(X1))
| ~ r1(X4,X3)
| ~ sP0(X4) )
| ~ spl50_184 ),
inference(resolution,[],[f1329,f575]) ).
fof(f575,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sP0(X2)
| ~ r1(X2,X0)
| ~ r1(X0,sK29(X1))
| p2(X3)
| ~ r1(sK26(sK29(X1)),X3)
| p2(X1)
| ~ r1(sK28,X1)
| ~ r1(X4,sK29(X1))
| ~ r1(X5,X4)
| ~ sP0(X5) ),
inference(subsumption_resolution,[],[f574,f181]) ).
fof(f181,plain,
! [X1] :
( ~ p2(sK29(X1))
| p2(X1)
| ~ r1(sK28,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f574,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r1(X0,sK29(X1))
| ~ r1(X2,X0)
| ~ sP0(X2)
| p2(X3)
| ~ r1(sK26(sK29(X1)),X3)
| p2(sK29(X1))
| p2(X1)
| ~ r1(sK28,X1)
| ~ r1(X4,sK29(X1))
| ~ r1(X5,X4)
| ~ sP0(X5) ),
inference(duplicate_literal_removal,[],[f573]) ).
fof(f573,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r1(X0,sK29(X1))
| ~ r1(X2,X0)
| ~ sP0(X2)
| p2(X3)
| ~ r1(sK26(sK29(X1)),X3)
| p2(sK29(X1))
| p2(X1)
| ~ r1(sK28,X1)
| p2(sK29(X1))
| ~ r1(X4,sK29(X1))
| ~ r1(X5,X4)
| ~ sP0(X5) ),
inference(resolution,[],[f487,f128]) ).
fof(f128,plain,
! [X2,X0,X1] :
( r1(X2,sK26(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( p2(sK26(X2))
& ~ p2(sK27(X2))
& r1(sK26(X2),sK27(X2))
& r1(X2,sK26(X2)) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26,sK27])],[f57,f59,f58]) ).
fof(f58,plain,
! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& r1(X2,X3) )
=> ( p2(sK26(X2))
& ? [X4] :
( ~ p2(X4)
& r1(sK26(X2),X4) )
& r1(X2,sK26(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X2] :
( ? [X4] :
( ~ p2(X4)
& r1(sK26(X2),X4) )
=> ( ~ p2(sK27(X2))
& r1(sK26(X2),sK27(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ! [X68] :
( ! [X69] :
( ? [X70] :
( p2(X70)
& ? [X71] :
( ~ p2(X71)
& r1(X70,X71) )
& r1(X69,X70) )
| p2(X69)
| ~ r1(X68,X69) )
| ~ r1(X0,X68) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f8]) ).
fof(f487,plain,
! [X2,X3,X0,X1,X4] :
( ~ r1(sK29(X4),sK26(X0))
| ~ r1(X1,X0)
| ~ r1(X2,X1)
| ~ sP0(X2)
| p2(X3)
| ~ r1(sK26(X0),X3)
| p2(X0)
| p2(X4)
| ~ r1(sK28,X4) ),
inference(resolution,[],[f131,f182]) ).
fof(f182,plain,
! [X3,X1,X4] :
( ~ p2(X3)
| p2(X4)
| ~ r1(X3,X4)
| ~ r1(sK29(X1),X3)
| p2(X1)
| ~ r1(sK28,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f131,plain,
! [X2,X0,X1] :
( p2(sK26(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f1329,plain,
( sP0(sK28)
| ~ spl50_184 ),
inference(avatar_component_clause,[],[f1327]) ).
fof(f1717,plain,
( spl50_42
| ~ spl50_182
| ~ spl50_184 ),
inference(avatar_split_clause,[],[f1716,f1327,f1319,f384]) ).
fof(f1716,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK28,X0) )
| ~ spl50_182
| ~ spl50_184 ),
inference(duplicate_literal_removal,[],[f1715]) ).
fof(f1715,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK28,X0)
| ~ r1(sK28,X0) )
| ~ spl50_182
| ~ spl50_184 ),
inference(resolution,[],[f1711,f1329]) ).
fof(f1711,plain,
( ! [X0,X1] :
( ~ sP0(X1)
| p2(X0)
| ~ r1(X1,X0)
| ~ r1(sK28,X0) )
| ~ spl50_182
| ~ spl50_184 ),
inference(duplicate_literal_removal,[],[f1710]) ).
fof(f1710,plain,
( ! [X0,X1] :
( ~ r1(sK28,X0)
| p2(X0)
| ~ r1(X1,X0)
| ~ sP0(X1)
| p2(X0)
| ~ r1(sK28,X0) )
| ~ spl50_182
| ~ spl50_184 ),
inference(resolution,[],[f1705,f180]) ).
fof(f180,plain,
! [X1] :
( r1(X1,sK29(X1))
| p2(X1)
| ~ r1(sK28,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f1705,plain,
( ! [X2,X0,X1] :
( ~ r1(X1,sK29(X0))
| ~ r1(sK28,X0)
| p2(X0)
| ~ r1(X2,X1)
| ~ sP0(X2) )
| ~ spl50_182
| ~ spl50_184 ),
inference(subsumption_resolution,[],[f1704,f181]) ).
fof(f1704,plain,
( ! [X2,X0,X1] :
( p2(X0)
| ~ r1(sK28,X0)
| p2(sK29(X0))
| ~ r1(X1,sK29(X0))
| ~ r1(X2,X1)
| ~ sP0(X2) )
| ~ spl50_182
| ~ spl50_184 ),
inference(subsumption_resolution,[],[f1692,f130]) ).
fof(f130,plain,
! [X2,X0,X1] :
( ~ p2(sK27(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f1692,plain,
( ! [X2,X0,X1] :
( p2(X0)
| ~ r1(sK28,X0)
| p2(sK27(sK29(X0)))
| p2(sK29(X0))
| ~ r1(X1,sK29(X0))
| ~ r1(X2,X1)
| ~ sP0(X2) )
| ~ spl50_182
| ~ spl50_184 ),
inference(resolution,[],[f1515,f129]) ).
fof(f129,plain,
! [X2,X0,X1] :
( r1(sK26(X2),sK27(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f1515,plain,
( ! [X0,X1] :
( ~ r1(sK26(sK29(X0)),X1)
| p2(X0)
| ~ r1(sK28,X0)
| p2(X1) )
| ~ spl50_182
| ~ spl50_184 ),
inference(duplicate_literal_removal,[],[f1512]) ).
fof(f1512,plain,
( ! [X0,X1] :
( ~ r1(sK28,X0)
| ~ r1(sK28,X0)
| p2(X0)
| ~ r1(sK26(sK29(X0)),X1)
| p2(X1) )
| ~ spl50_182
| ~ spl50_184 ),
inference(resolution,[],[f1329,f1386]) ).
fof(f1386,plain,
( ! [X2,X0,X1] :
( ~ sP0(X0)
| ~ r1(X0,X1)
| ~ r1(sK28,X1)
| p2(X1)
| ~ r1(sK26(sK29(X1)),X2)
| p2(X2) )
| ~ spl50_182 ),
inference(duplicate_literal_removal,[],[f1385]) ).
fof(f1385,plain,
( ! [X2,X0,X1] :
( ~ sP0(X0)
| ~ r1(X0,X1)
| ~ r1(sK28,X1)
| p2(X1)
| ~ r1(sK26(sK29(X1)),X2)
| p2(X2)
| p2(X1)
| ~ r1(sK28,X1) )
| ~ spl50_182 ),
inference(resolution,[],[f1356,f180]) ).
fof(f1356,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X2,sK29(X0))
| ~ sP0(X1)
| ~ r1(X1,X2)
| ~ r1(sK28,X0)
| p2(X0)
| ~ r1(sK26(sK29(X0)),X3)
| p2(X3) )
| ~ spl50_182 ),
inference(duplicate_literal_removal,[],[f1355]) ).
fof(f1355,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(sK28,X0)
| ~ sP0(X1)
| ~ r1(X1,X2)
| ~ r1(X2,sK29(X0))
| ~ r1(sK28,X0)
| p2(X0)
| ~ r1(sK26(sK29(X0)),X3)
| p2(X3)
| p2(X0)
| ~ r1(sK28,X0) )
| ~ spl50_182 ),
inference(resolution,[],[f1320,f180]) ).
fof(f1320,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(X0,sK29(X1))
| ~ r1(sK28,X0)
| ~ sP0(X4)
| ~ r1(X4,X3)
| ~ r1(X3,sK29(X1))
| ~ r1(sK28,X1)
| p2(X1)
| ~ r1(sK26(sK29(X1)),X2)
| p2(X2) )
| ~ spl50_182 ),
inference(avatar_component_clause,[],[f1319]) ).
fof(f1511,plain,
( spl50_184
| ~ spl50_31
| ~ spl50_197 ),
inference(avatar_split_clause,[],[f1510,f1459,f323,f1327]) ).
fof(f323,plain,
( spl50_31
<=> sP5(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_31])]) ).
fof(f1510,plain,
( sP0(sK28)
| ~ spl50_31
| ~ spl50_197 ),
inference(subsumption_resolution,[],[f1475,f325]) ).
fof(f325,plain,
( sP5(sK28)
| ~ spl50_31 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f1475,plain,
( sP0(sK28)
| ~ sP5(sK28)
| ~ spl50_197 ),
inference(resolution,[],[f1461,f95]) ).
fof(f95,plain,
! [X0] :
( ~ p2(sK12(X0))
| sP0(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ( ( ( p2(sK10(X0))
& ~ p2(sK11(X0))
& r1(sK10(X0),sK11(X0))
& r1(X0,sK10(X0)) )
| p2(X0) )
& ( ( ! [X4] :
( ~ p2(X4)
| ! [X5] :
( p2(X5)
| ~ r1(X4,X5) )
| ~ r1(sK12(X0),X4) )
& ~ p2(sK12(X0))
& r1(X0,sK12(X0)) )
| sP0(X0) ) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f26,f29,f28,f27]) ).
fof(f27,plain,
! [X0] :
( ? [X1] :
( p2(X1)
& ? [X2] :
( ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
=> ( p2(sK10(X0))
& ? [X2] :
( ~ p2(X2)
& r1(sK10(X0),X2) )
& r1(X0,sK10(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
! [X0] :
( ? [X2] :
( ~ p2(X2)
& r1(sK10(X0),X2) )
=> ( ~ p2(sK11(X0))
& r1(sK10(X0),sK11(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X0] :
( ? [X3] :
( ! [X4] :
( ~ p2(X4)
| ! [X5] :
( p2(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
& ~ p2(X3)
& r1(X0,X3) )
=> ( ! [X4] :
( ~ p2(X4)
| ! [X5] :
( p2(X5)
| ~ r1(X4,X5) )
| ~ r1(sK12(X0),X4) )
& ~ p2(sK12(X0))
& r1(X0,sK12(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X0] :
( ( ( ? [X1] :
( p2(X1)
& ? [X2] :
( ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
| p2(X0) )
& ( ? [X3] :
( ! [X4] :
( ~ p2(X4)
| ! [X5] :
( p2(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
& ~ p2(X3)
& r1(X0,X3) )
| sP0(X0) ) )
| ~ sP5(X0) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ( ( ? [X63] :
( p2(X63)
& ? [X64] :
( ~ p2(X64)
& r1(X63,X64) )
& r1(X0,X63) )
| p2(X0) )
& ( ? [X65] :
( ! [X66] :
( ~ p2(X66)
| ! [X67] :
( p2(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
& ~ p2(X65)
& r1(X0,X65) )
| sP0(X0) ) )
| ~ sP5(X0) ),
inference(nnf_transformation,[],[f13]) ).
fof(f1461,plain,
( p2(sK12(sK28))
| ~ spl50_197 ),
inference(avatar_component_clause,[],[f1459]) ).
fof(f1465,plain,
( spl50_197
| spl50_198
| ~ spl50_181
| ~ spl50_185 ),
inference(avatar_split_clause,[],[f1457,f1331,f1315,f1463,f1459]) ).
fof(f1331,plain,
( spl50_185
<=> ! [X0,X1] :
( p2(X0)
| ~ p2(X1)
| ~ r1(sK12(sK28),X1)
| ~ r1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_185])]) ).
fof(f1457,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK44(sK12(sK28)),X0)
| p2(sK12(sK28)) )
| ~ spl50_181
| ~ spl50_185 ),
inference(subsumption_resolution,[],[f1456,f1317]) ).
fof(f1456,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK44(sK12(sK28)),X0)
| p2(sK12(sK28))
| ~ r1(sK28,sK12(sK28)) )
| ~ spl50_185 ),
inference(duplicate_literal_removal,[],[f1455]) ).
fof(f1455,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK44(sK12(sK28)),X0)
| p2(sK12(sK28))
| ~ r1(sK28,sK12(sK28))
| p2(sK12(sK28))
| ~ r1(sK28,sK12(sK28)) )
| ~ spl50_185 ),
inference(resolution,[],[f1434,f140]) ).
fof(f140,plain,
! [X35] :
( r1(X35,sK44(X35))
| p2(X35)
| ~ r1(sK28,X35) ),
inference(cnf_transformation,[],[f84]) ).
fof(f1434,plain,
( ! [X0,X1] :
( ~ r1(sK12(sK28),sK44(X1))
| p2(X0)
| ~ r1(sK44(X1),X0)
| p2(X1)
| ~ r1(sK28,X1) )
| ~ spl50_185 ),
inference(resolution,[],[f1332,f143]) ).
fof(f143,plain,
! [X35] :
( p2(sK44(X35))
| p2(X35)
| ~ r1(sK28,X35) ),
inference(cnf_transformation,[],[f84]) ).
fof(f1332,plain,
( ! [X0,X1] :
( ~ p2(X1)
| p2(X0)
| ~ r1(sK12(sK28),X1)
| ~ r1(X1,X0) )
| ~ spl50_185 ),
inference(avatar_component_clause,[],[f1331]) ).
fof(f1423,plain,
( spl50_181
| ~ spl50_31
| spl50_184 ),
inference(avatar_split_clause,[],[f1422,f1327,f323,f1315]) ).
fof(f1422,plain,
( r1(sK28,sK12(sK28))
| ~ spl50_31
| spl50_184 ),
inference(subsumption_resolution,[],[f1421,f325]) ).
fof(f1421,plain,
( r1(sK28,sK12(sK28))
| ~ sP5(sK28)
| spl50_184 ),
inference(resolution,[],[f1328,f94]) ).
fof(f94,plain,
! [X0] :
( sP0(X0)
| r1(X0,sK12(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f1328,plain,
( ~ sP0(sK28)
| spl50_184 ),
inference(avatar_component_clause,[],[f1327]) ).
fof(f1333,plain,
( spl50_184
| spl50_185
| ~ spl50_31 ),
inference(avatar_split_clause,[],[f1312,f323,f1331,f1327]) ).
fof(f1312,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(X1,X0)
| ~ r1(sK12(sK28),X1)
| sP0(sK28)
| ~ p2(X1) )
| ~ spl50_31 ),
inference(resolution,[],[f325,f96]) ).
fof(f96,plain,
! [X0,X4,X5] :
( ~ sP5(X0)
| p2(X5)
| ~ r1(X4,X5)
| ~ r1(sK12(X0),X4)
| sP0(X0)
| ~ p2(X4) ),
inference(cnf_transformation,[],[f30]) ).
fof(f1309,plain,
( spl50_132
| spl50_67
| ~ spl50_136 ),
inference(avatar_split_clause,[],[f1287,f1034,f558,f1002]) ).
fof(f1002,plain,
( spl50_132
<=> ! [X1] :
( ~ r1(X1,sK24(sK40))
| ~ sP1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_132])]) ).
fof(f558,plain,
( spl50_67
<=> p2(sK24(sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_67])]) ).
fof(f1034,plain,
( spl50_136
<=> p2(sK23(sK24(sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_136])]) ).
fof(f1287,plain,
( ! [X0] :
( p2(sK24(sK40))
| ~ r1(X0,sK24(sK40))
| ~ sP1(X0) )
| ~ spl50_136 ),
inference(resolution,[],[f1036,f126]) ).
fof(f126,plain,
! [X0,X1] :
( ~ p2(sK23(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ( ! [X1] :
( ( p2(sK22(X1))
& ~ p2(sK23(X1))
& r1(sK22(X1),sK23(X1))
& r1(X1,sK22(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
& ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(sK25(X0),X6) )
& ~ p2(sK25(X0))
& r1(sK24(X0),sK25(X0))
& r1(X0,sK24(X0)) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23,sK24,sK25])],[f50,f54,f53,f52,f51]) ).
fof(f51,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK22(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK22(X1),X3) )
& r1(X1,sK22(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK22(X1),X3) )
=> ( ~ p2(sK23(X1))
& r1(sK22(X1),sK23(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(X4,X5) )
& r1(X0,X4) )
=> ( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(sK24(X0),X5) )
& r1(X0,sK24(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X0] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(sK24(X0),X5) )
=> ( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(sK25(X0),X6) )
& ~ p2(sK25(X0))
& r1(sK24(X0),sK25(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X0] :
( ( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(X4,X5) )
& r1(X0,X4) ) )
| ~ sP1(X0) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
! [X33] :
( ( ! [X56] :
( ? [X57] :
( p2(X57)
& ? [X58] :
( ~ p2(X58)
& r1(X57,X58) )
& r1(X56,X57) )
| p2(X56)
| ~ r1(X33,X56) )
& ? [X59] :
( ? [X60] :
( ! [X61] :
( ~ p2(X61)
| ! [X62] :
( p2(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
& ~ p2(X60)
& r1(X59,X60) )
& r1(X33,X59) ) )
| ~ sP1(X33) ),
inference(nnf_transformation,[],[f9]) ).
fof(f1036,plain,
( p2(sK23(sK24(sK40)))
| ~ spl50_136 ),
inference(avatar_component_clause,[],[f1034]) ).
fof(f1262,plain,
( spl50_60
| spl50_58
| ~ spl50_115 ),
inference(avatar_split_clause,[],[f1261,f899,f509,f520]) ).
fof(f520,plain,
( spl50_60
<=> ! [X2] :
( ~ r1(X2,sK25(sK40))
| ~ sP4(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_60])]) ).
fof(f509,plain,
( spl50_58
<=> p2(sK25(sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_58])]) ).
fof(f899,plain,
( spl50_115
<=> p2(sK14(sK25(sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_115])]) ).
fof(f1261,plain,
( ! [X0] :
( ~ r1(X0,sK25(sK40))
| ~ sP4(X0) )
| spl50_58
| ~ spl50_115 ),
inference(subsumption_resolution,[],[f1257,f510]) ).
fof(f510,plain,
( ~ p2(sK25(sK40))
| spl50_58 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f1257,plain,
( ! [X0] :
( p2(sK25(sK40))
| ~ r1(X0,sK25(sK40))
| ~ sP4(X0) )
| ~ spl50_115 ),
inference(resolution,[],[f901,f106]) ).
fof(f106,plain,
! [X0,X1] :
( ~ p2(sK14(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0] :
( ! [X1] :
( ( ( ( p2(sK13(X1))
& ~ p2(sK14(X1))
& r1(sK13(X1),sK14(X1))
& r1(X1,sK13(X1)) )
| p2(X1) )
& ( ( ! [X5] :
( ~ p2(X5)
| ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ r1(sK15(X1),X5) )
& ~ p2(sK15(X1))
& r1(X1,sK15(X1)) )
| sP2(X1) ) )
| ~ r1(X0,X1) )
| ~ sP4(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15])],[f32,f35,f34,f33]) ).
fof(f33,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK13(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK13(X1),X3) )
& r1(X1,sK13(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK13(X1),X3) )
=> ( ~ p2(sK14(X1))
& r1(sK13(X1),sK14(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X1] :
( ? [X4] :
( ! [X5] :
( ~ p2(X5)
| ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
& ~ p2(X4)
& r1(X1,X4) )
=> ( ! [X5] :
( ~ p2(X5)
| ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ r1(sK15(X1),X5) )
& ~ p2(sK15(X1))
& r1(X1,sK15(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
! [X0] :
( ! [X1] :
( ( ( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1) )
& ( ? [X4] :
( ! [X5] :
( ~ p2(X5)
| ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
& ~ p2(X4)
& r1(X1,X4) )
| sP2(X1) ) )
| ~ r1(X0,X1) )
| ~ sP4(X0) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X34] :
( ! [X44] :
( ( ( ? [X45] :
( p2(X45)
& ? [X46] :
( ~ p2(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p2(X44) )
& ( ? [X47] :
( ! [X48] :
( ~ p2(X48)
| ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
& ~ p2(X47)
& r1(X44,X47) )
| sP2(X44) ) )
| ~ r1(X34,X44) )
| ~ sP4(X34) ),
inference(nnf_transformation,[],[f12]) ).
fof(f901,plain,
( p2(sK14(sK25(sK40)))
| ~ spl50_115 ),
inference(avatar_component_clause,[],[f899]) ).
fof(f1222,plain,
( spl50_151
| spl50_58
| ~ spl50_152 ),
inference(avatar_split_clause,[],[f1221,f1122,f509,f1119]) ).
fof(f1119,plain,
( spl50_151
<=> ! [X0] :
( ~ r1(X0,sK25(sK40))
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_151])]) ).
fof(f1122,plain,
( spl50_152
<=> p2(sK17(sK25(sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_152])]) ).
fof(f1221,plain,
( ! [X0] :
( ~ r1(X0,sK25(sK40))
| ~ sP3(X0) )
| spl50_58
| ~ spl50_152 ),
inference(subsumption_resolution,[],[f1216,f510]) ).
fof(f1216,plain,
( ! [X0] :
( p2(sK25(sK40))
| ~ r1(X0,sK25(sK40))
| ~ sP3(X0) )
| ~ spl50_152 ),
inference(resolution,[],[f1124,f114]) ).
fof(f114,plain,
! [X0,X1] :
( ~ p2(sK17(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ( ! [X1] :
( ( p2(sK16(X1))
& ~ p2(sK17(X1))
& r1(sK16(X1),sK17(X1))
& r1(X1,sK16(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
& ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(sK19(X0),X6) )
& ~ p2(sK19(X0))
& r1(sK18(X0),sK19(X0))
& r1(X0,sK18(X0)) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17,sK18,sK19])],[f38,f42,f41,f40,f39]) ).
fof(f39,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK16(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK16(X1),X3) )
& r1(X1,sK16(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK16(X1),X3) )
=> ( ~ p2(sK17(X1))
& r1(sK16(X1),sK17(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(X4,X5) )
& r1(X0,X4) )
=> ( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(sK18(X0),X5) )
& r1(X0,sK18(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X0] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(sK18(X0),X5) )
=> ( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(sK19(X0),X6) )
& ~ p2(sK19(X0))
& r1(sK18(X0),sK19(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
! [X0] :
( ( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(X4,X5) )
& r1(X0,X4) ) )
| ~ sP3(X0) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
! [X34] :
( ( ! [X37] :
( ? [X38] :
( p2(X38)
& ? [X39] :
( ~ p2(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p2(X37)
| ~ r1(X34,X37) )
& ? [X40] :
( ? [X41] :
( ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
& ~ p2(X41)
& r1(X40,X41) )
& r1(X34,X40) ) )
| ~ sP3(X34) ),
inference(nnf_transformation,[],[f11]) ).
fof(f1124,plain,
( p2(sK17(sK25(sK40)))
| ~ spl50_152 ),
inference(avatar_component_clause,[],[f1122]) ).
fof(f1201,plain,
( ~ spl50_65
| ~ spl50_113
| ~ spl50_151 ),
inference(avatar_contradiction_clause,[],[f1200]) ).
fof(f1200,plain,
( $false
| ~ spl50_65
| ~ spl50_113
| ~ spl50_151 ),
inference(subsumption_resolution,[],[f1199,f871]) ).
fof(f871,plain,
( r1(sK24(sK40),sK25(sK40))
| ~ spl50_113 ),
inference(avatar_component_clause,[],[f870]) ).
fof(f870,plain,
( spl50_113
<=> r1(sK24(sK40),sK25(sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_113])]) ).
fof(f1199,plain,
( ~ r1(sK24(sK40),sK25(sK40))
| ~ spl50_65
| ~ spl50_151 ),
inference(resolution,[],[f1120,f551]) ).
fof(f551,plain,
( sP3(sK24(sK40))
| ~ spl50_65 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f549,plain,
( spl50_65
<=> sP3(sK24(sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_65])]) ).
fof(f1120,plain,
( ! [X0] :
( ~ sP3(X0)
| ~ r1(X0,sK25(sK40)) )
| ~ spl50_151 ),
inference(avatar_component_clause,[],[f1119]) ).
fof(f1125,plain,
( spl50_151
| spl50_152
| spl50_58
| ~ spl50_114 ),
inference(avatar_split_clause,[],[f1117,f874,f509,f1122,f1119]) ).
fof(f874,plain,
( spl50_114
<=> ! [X0] :
( ~ r1(sK16(sK25(sK40)),X0)
| p2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_114])]) ).
fof(f1117,plain,
( ! [X0] :
( p2(sK17(sK25(sK40)))
| ~ r1(X0,sK25(sK40))
| ~ sP3(X0) )
| spl50_58
| ~ spl50_114 ),
inference(subsumption_resolution,[],[f1106,f510]) ).
fof(f1106,plain,
( ! [X0] :
( p2(sK17(sK25(sK40)))
| p2(sK25(sK40))
| ~ r1(X0,sK25(sK40))
| ~ sP3(X0) )
| ~ spl50_114 ),
inference(resolution,[],[f875,f113]) ).
fof(f113,plain,
! [X0,X1] :
( r1(sK16(X1),sK17(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f875,plain,
( ! [X0] :
( ~ r1(sK16(sK25(sK40)),X0)
| p2(X0) )
| ~ spl50_114 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f1099,plain,
( spl50_65
| spl50_66
| ~ spl50_32
| ~ spl50_34
| ~ spl50_60 ),
inference(avatar_split_clause,[],[f1098,f520,f335,f327,f553,f549]) ).
fof(f553,plain,
( spl50_66
<=> ! [X0,X1] :
( ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK24(sK40),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_66])]) ).
fof(f327,plain,
( spl50_32
<=> ! [X27,X28,X26] :
( ~ p2(X27)
| ~ r1(sK40,X26)
| sP4(X26)
| sP3(X26)
| ~ r1(X26,X27)
| ~ r1(X27,X28)
| p2(X28) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_32])]) ).
fof(f335,plain,
( spl50_34
<=> sP1(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_34])]) ).
fof(f1098,plain,
( ! [X0,X1] :
( ~ p2(X0)
| sP3(sK24(sK40))
| ~ r1(sK24(sK40),X0)
| ~ r1(X0,X1)
| p2(X1) )
| ~ spl50_32
| ~ spl50_34
| ~ spl50_60 ),
inference(subsumption_resolution,[],[f966,f477]) ).
fof(f477,plain,
( r1(sK40,sK24(sK40))
| ~ spl50_34 ),
inference(resolution,[],[f337,f120]) ).
fof(f120,plain,
! [X0] :
( ~ sP1(X0)
| r1(X0,sK24(X0)) ),
inference(cnf_transformation,[],[f55]) ).
fof(f337,plain,
( sP1(sK40)
| ~ spl50_34 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f966,plain,
( ! [X0,X1] :
( ~ r1(sK40,sK24(sK40))
| ~ p2(X0)
| sP3(sK24(sK40))
| ~ r1(sK24(sK40),X0)
| ~ r1(X0,X1)
| p2(X1) )
| ~ spl50_32
| ~ spl50_34
| ~ spl50_60 ),
inference(resolution,[],[f965,f328]) ).
fof(f328,plain,
( ! [X28,X26,X27] :
( sP4(X26)
| ~ r1(sK40,X26)
| ~ p2(X27)
| sP3(X26)
| ~ r1(X26,X27)
| ~ r1(X27,X28)
| p2(X28) )
| ~ spl50_32 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f965,plain,
( ~ sP4(sK24(sK40))
| ~ spl50_34
| ~ spl50_60 ),
inference(subsumption_resolution,[],[f964,f337]) ).
fof(f964,plain,
( ~ sP4(sK24(sK40))
| ~ sP1(sK40)
| ~ spl50_60 ),
inference(resolution,[],[f521,f121]) ).
fof(f121,plain,
! [X0] :
( r1(sK24(X0),sK25(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f521,plain,
( ! [X2] :
( ~ r1(X2,sK25(sK40))
| ~ sP4(X2) )
| ~ spl50_60 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f1037,plain,
( spl50_132
| spl50_136
| spl50_67
| ~ spl50_133 ),
inference(avatar_split_clause,[],[f1032,f1005,f558,f1034,f1002]) ).
fof(f1005,plain,
( spl50_133
<=> ! [X0] :
( ~ r1(sK22(sK24(sK40)),X0)
| p2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_133])]) ).
fof(f1032,plain,
( ! [X0] :
( p2(sK23(sK24(sK40)))
| ~ r1(X0,sK24(sK40))
| ~ sP1(X0) )
| spl50_67
| ~ spl50_133 ),
inference(subsumption_resolution,[],[f1021,f560]) ).
fof(f560,plain,
( ~ p2(sK24(sK40))
| spl50_67 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f1021,plain,
( ! [X0] :
( p2(sK23(sK24(sK40)))
| p2(sK24(sK40))
| ~ r1(X0,sK24(sK40))
| ~ sP1(X0) )
| ~ spl50_133 ),
inference(resolution,[],[f1006,f125]) ).
fof(f125,plain,
! [X0,X1] :
( r1(sK22(X1),sK23(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f1006,plain,
( ! [X0] :
( ~ r1(sK22(sK24(sK40)),X0)
| p2(X0) )
| ~ spl50_133 ),
inference(avatar_component_clause,[],[f1005]) ).
fof(f1010,plain,
( ~ spl50_34
| ~ spl50_132 ),
inference(avatar_contradiction_clause,[],[f1009]) ).
fof(f1009,plain,
( $false
| ~ spl50_34
| ~ spl50_132 ),
inference(subsumption_resolution,[],[f1008,f477]) ).
fof(f1008,plain,
( ~ r1(sK40,sK24(sK40))
| ~ spl50_34
| ~ spl50_132 ),
inference(resolution,[],[f1003,f337]) ).
fof(f1003,plain,
( ! [X1] :
( ~ sP1(X1)
| ~ r1(X1,sK24(sK40)) )
| ~ spl50_132 ),
inference(avatar_component_clause,[],[f1002]) ).
fof(f1007,plain,
( spl50_132
| spl50_133
| ~ spl50_34
| ~ spl50_66
| spl50_67 ),
inference(avatar_split_clause,[],[f1000,f558,f553,f335,f1005,f1002]) ).
fof(f1000,plain,
( ! [X0,X1] :
( ~ r1(sK22(sK24(sK40)),X0)
| p2(X0)
| ~ r1(X1,sK24(sK40))
| ~ sP1(X1) )
| ~ spl50_34
| ~ spl50_66
| spl50_67 ),
inference(subsumption_resolution,[],[f999,f477]) ).
fof(f999,plain,
( ! [X0,X1] :
( ~ r1(sK22(sK24(sK40)),X0)
| p2(X0)
| ~ r1(X1,sK24(sK40))
| ~ sP1(X1)
| ~ r1(sK40,sK24(sK40)) )
| ~ spl50_34
| ~ spl50_66
| spl50_67 ),
inference(subsumption_resolution,[],[f998,f560]) ).
fof(f998,plain,
( ! [X0,X1] :
( ~ r1(sK22(sK24(sK40)),X0)
| p2(X0)
| p2(sK24(sK40))
| ~ r1(X1,sK24(sK40))
| ~ sP1(X1)
| ~ r1(sK40,sK24(sK40)) )
| ~ spl50_34
| ~ spl50_66 ),
inference(duplicate_literal_removal,[],[f997]) ).
fof(f997,plain,
( ! [X0,X1] :
( ~ r1(sK22(sK24(sK40)),X0)
| p2(X0)
| p2(sK24(sK40))
| ~ r1(X1,sK24(sK40))
| ~ sP1(X1)
| ~ r1(sK40,sK24(sK40))
| p2(sK24(sK40)) )
| ~ spl50_34
| ~ spl50_66 ),
inference(resolution,[],[f973,f476]) ).
fof(f476,plain,
( ! [X0] :
( r1(X0,sK22(X0))
| ~ r1(sK40,X0)
| p2(X0) )
| ~ spl50_34 ),
inference(resolution,[],[f337,f124]) ).
fof(f124,plain,
! [X0,X1] :
( ~ sP1(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK22(X1)) ),
inference(cnf_transformation,[],[f55]) ).
fof(f973,plain,
( ! [X2,X0,X1] :
( ~ r1(sK24(sK40),sK22(X1))
| ~ r1(sK22(X1),X0)
| p2(X0)
| p2(X1)
| ~ r1(X2,X1)
| ~ sP1(X2) )
| ~ spl50_66 ),
inference(resolution,[],[f554,f127]) ).
fof(f127,plain,
! [X0,X1] :
( p2(sK22(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f554,plain,
( ! [X0,X1] :
( ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ r1(sK24(sK40),X0) )
| ~ spl50_66 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f902,plain,
( spl50_60
| spl50_115
| spl50_58
| ~ spl50_61 ),
inference(avatar_split_clause,[],[f897,f523,f509,f899,f520]) ).
fof(f523,plain,
( spl50_61
<=> ! [X0] :
( ~ r1(sK13(sK25(sK40)),X0)
| p2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_61])]) ).
fof(f897,plain,
( ! [X0] :
( p2(sK14(sK25(sK40)))
| ~ r1(X0,sK25(sK40))
| ~ sP4(X0) )
| spl50_58
| ~ spl50_61 ),
inference(subsumption_resolution,[],[f886,f510]) ).
fof(f886,plain,
( ! [X0] :
( p2(sK14(sK25(sK40)))
| p2(sK25(sK40))
| ~ r1(X0,sK25(sK40))
| ~ sP4(X0) )
| ~ spl50_61 ),
inference(resolution,[],[f524,f105]) ).
fof(f105,plain,
! [X0,X1] :
( r1(sK13(X1),sK14(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f524,plain,
( ! [X0] :
( ~ r1(sK13(sK25(sK40)),X0)
| p2(X0) )
| ~ spl50_61 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f885,plain,
( ~ spl50_34
| spl50_113 ),
inference(avatar_contradiction_clause,[],[f884]) ).
fof(f884,plain,
( $false
| ~ spl50_34
| spl50_113 ),
inference(subsumption_resolution,[],[f883,f337]) ).
fof(f883,plain,
( ~ sP1(sK40)
| spl50_113 ),
inference(resolution,[],[f872,f121]) ).
fof(f872,plain,
( ~ r1(sK24(sK40),sK25(sK40))
| spl50_113 ),
inference(avatar_component_clause,[],[f870]) ).
fof(f876,plain,
( ~ spl50_113
| spl50_114
| ~ spl50_34
| spl50_58
| ~ spl50_65 ),
inference(avatar_split_clause,[],[f868,f549,f509,f335,f874,f870]) ).
fof(f868,plain,
( ! [X0] :
( ~ r1(sK16(sK25(sK40)),X0)
| ~ r1(sK24(sK40),sK25(sK40))
| p2(X0) )
| ~ spl50_34
| spl50_58
| ~ spl50_65 ),
inference(subsumption_resolution,[],[f867,f510]) ).
fof(f867,plain,
( ! [X0] :
( p2(sK25(sK40))
| ~ r1(sK16(sK25(sK40)),X0)
| ~ r1(sK24(sK40),sK25(sK40))
| p2(X0) )
| ~ spl50_34
| ~ spl50_65 ),
inference(duplicate_literal_removal,[],[f866]) ).
fof(f866,plain,
( ! [X0] :
( p2(sK25(sK40))
| ~ r1(sK16(sK25(sK40)),X0)
| ~ r1(sK24(sK40),sK25(sK40))
| p2(X0)
| ~ r1(sK24(sK40),sK25(sK40))
| p2(sK25(sK40)) )
| ~ spl50_34
| ~ spl50_65 ),
inference(resolution,[],[f708,f703]) ).
fof(f703,plain,
( ! [X0] :
( r1(X0,sK16(X0))
| ~ r1(sK24(sK40),X0)
| p2(X0) )
| ~ spl50_65 ),
inference(resolution,[],[f551,f112]) ).
fof(f112,plain,
! [X0,X1] :
( ~ sP3(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK16(X1)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f708,plain,
( ! [X0,X1] :
( ~ r1(sK25(sK40),sK16(X0))
| p2(X0)
| ~ r1(sK16(X0),X1)
| ~ r1(sK24(sK40),X0)
| p2(X1) )
| ~ spl50_34
| ~ spl50_65 ),
inference(resolution,[],[f704,f486]) ).
fof(f486,plain,
( ! [X0,X1] :
( ~ p2(X1)
| ~ r1(X1,X0)
| ~ r1(sK25(sK40),X1)
| p2(X0) )
| ~ spl50_34 ),
inference(resolution,[],[f123,f337]) ).
fof(f123,plain,
! [X0,X6,X7] :
( ~ sP1(X0)
| p2(X7)
| ~ r1(X6,X7)
| ~ r1(sK25(X0),X6)
| ~ p2(X6) ),
inference(cnf_transformation,[],[f55]) ).
fof(f704,plain,
( ! [X0] :
( p2(sK16(X0))
| ~ r1(sK24(sK40),X0)
| p2(X0) )
| ~ spl50_65 ),
inference(resolution,[],[f551,f115]) ).
fof(f115,plain,
! [X0,X1] :
( ~ sP3(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK16(X1)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f561,plain,
( spl50_65
| ~ spl50_67
| ~ spl50_33
| ~ spl50_34
| ~ spl50_60 ),
inference(avatar_split_clause,[],[f556,f520,f335,f331,f558,f549]) ).
fof(f331,plain,
( spl50_33
<=> ! [X26] :
( ~ p2(X26)
| ~ r1(sK40,X26)
| sP4(X26)
| sP3(X26) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_33])]) ).
fof(f556,plain,
( ~ p2(sK24(sK40))
| sP3(sK24(sK40))
| ~ spl50_33
| ~ spl50_34
| ~ spl50_60 ),
inference(subsumption_resolution,[],[f546,f477]) ).
fof(f546,plain,
( ~ r1(sK40,sK24(sK40))
| ~ p2(sK24(sK40))
| sP3(sK24(sK40))
| ~ spl50_33
| ~ spl50_34
| ~ spl50_60 ),
inference(resolution,[],[f544,f332]) ).
fof(f332,plain,
( ! [X26] :
( sP4(X26)
| ~ r1(sK40,X26)
| ~ p2(X26)
| sP3(X26) )
| ~ spl50_33 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f544,plain,
( ~ sP4(sK24(sK40))
| ~ spl50_34
| ~ spl50_60 ),
inference(subsumption_resolution,[],[f543,f337]) ).
fof(f543,plain,
( ~ sP4(sK24(sK40))
| ~ sP1(sK40)
| ~ spl50_60 ),
inference(resolution,[],[f521,f121]) ).
fof(f530,plain,
( ~ spl50_34
| ~ spl50_58 ),
inference(avatar_contradiction_clause,[],[f529]) ).
fof(f529,plain,
( $false
| ~ spl50_34
| ~ spl50_58 ),
inference(subsumption_resolution,[],[f526,f337]) ).
fof(f526,plain,
( ~ sP1(sK40)
| ~ spl50_58 ),
inference(resolution,[],[f511,f122]) ).
fof(f122,plain,
! [X0] :
( ~ p2(sK25(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f511,plain,
( p2(sK25(sK40))
| ~ spl50_58 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f525,plain,
( spl50_60
| spl50_60
| spl50_58
| spl50_61
| ~ spl50_34 ),
inference(avatar_split_clause,[],[f518,f335,f523,f509,f520,f520]) ).
fof(f518,plain,
( ! [X2,X0,X1] :
( ~ r1(sK13(sK25(sK40)),X0)
| p2(X0)
| p2(sK25(sK40))
| ~ r1(X1,sK25(sK40))
| ~ sP4(X1)
| ~ r1(X2,sK25(sK40))
| ~ sP4(X2) )
| ~ spl50_34 ),
inference(duplicate_literal_removal,[],[f517]) ).
fof(f517,plain,
( ! [X2,X0,X1] :
( ~ r1(sK13(sK25(sK40)),X0)
| p2(X0)
| p2(sK25(sK40))
| ~ r1(X1,sK25(sK40))
| ~ sP4(X1)
| p2(sK25(sK40))
| ~ r1(X2,sK25(sK40))
| ~ sP4(X2) )
| ~ spl50_34 ),
inference(resolution,[],[f492,f104]) ).
fof(f104,plain,
! [X0,X1] :
( r1(X1,sK13(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f492,plain,
( ! [X2,X0,X1] :
( ~ r1(sK25(sK40),sK13(X0))
| ~ r1(sK13(X0),X1)
| p2(X1)
| p2(X0)
| ~ r1(X2,X0)
| ~ sP4(X2) )
| ~ spl50_34 ),
inference(resolution,[],[f486,f107]) ).
fof(f107,plain,
! [X0,X1] :
( p2(sK13(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f463,plain,
( ~ spl50_35
| spl50_36
| ~ spl50_37 ),
inference(avatar_contradiction_clause,[],[f462]) ).
fof(f462,plain,
( $false
| ~ spl50_35
| spl50_36
| ~ spl50_37 ),
inference(subsumption_resolution,[],[f461,f350]) ).
fof(f350,plain,
( r1(sK28,sK40)
| ~ spl50_37 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f348,plain,
( spl50_37
<=> r1(sK28,sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_37])]) ).
fof(f461,plain,
( ~ r1(sK28,sK40)
| ~ spl50_35
| spl50_36
| ~ spl50_37 ),
inference(subsumption_resolution,[],[f458,f345]) ).
fof(f345,plain,
( ~ p2(sK40)
| spl50_36 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f343,plain,
( spl50_36
<=> p2(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_36])]) ).
fof(f458,plain,
( p2(sK40)
| ~ r1(sK28,sK40)
| ~ spl50_35
| spl50_36
| ~ spl50_37 ),
inference(resolution,[],[f428,f142]) ).
fof(f428,plain,
( p2(sK45(sK40))
| ~ spl50_35
| spl50_36
| ~ spl50_37 ),
inference(subsumption_resolution,[],[f427,f350]) ).
fof(f427,plain,
( p2(sK45(sK40))
| ~ r1(sK28,sK40)
| ~ spl50_35
| spl50_36
| ~ spl50_37 ),
inference(subsumption_resolution,[],[f421,f345]) ).
fof(f421,plain,
( p2(sK45(sK40))
| p2(sK40)
| ~ r1(sK28,sK40)
| ~ spl50_35
| spl50_36
| ~ spl50_37 ),
inference(resolution,[],[f420,f141]) ).
fof(f420,plain,
( ! [X0] :
( ~ r1(sK44(sK40),X0)
| p2(X0) )
| ~ spl50_35
| spl50_36
| ~ spl50_37 ),
inference(subsumption_resolution,[],[f419,f350]) ).
fof(f419,plain,
( ! [X0] :
( ~ r1(sK44(sK40),X0)
| p2(X0)
| ~ r1(sK28,sK40) )
| ~ spl50_35
| spl50_36 ),
inference(subsumption_resolution,[],[f418,f345]) ).
fof(f418,plain,
( ! [X0] :
( ~ r1(sK44(sK40),X0)
| p2(X0)
| p2(sK40)
| ~ r1(sK28,sK40) )
| ~ spl50_35 ),
inference(duplicate_literal_removal,[],[f417]) ).
fof(f417,plain,
( ! [X0] :
( ~ r1(sK44(sK40),X0)
| p2(X0)
| p2(sK40)
| ~ r1(sK28,sK40)
| p2(sK40)
| ~ r1(sK28,sK40) )
| ~ spl50_35 ),
inference(resolution,[],[f416,f140]) ).
fof(f416,plain,
( ! [X0,X1] :
( ~ r1(sK40,sK44(X0))
| ~ r1(sK44(X0),X1)
| p2(X1)
| p2(X0)
| ~ r1(sK28,X0) )
| ~ spl50_35 ),
inference(resolution,[],[f340,f143]) ).
fof(f340,plain,
( ! [X29,X30] :
( ~ p2(X29)
| ~ r1(sK40,X29)
| ~ r1(X29,X30)
| p2(X30) )
| ~ spl50_35 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f339,plain,
( spl50_35
<=> ! [X29,X30] :
( ~ p2(X29)
| ~ r1(sK40,X29)
| ~ r1(X29,X30)
| p2(X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_35])]) ).
fof(f351,plain,
( spl50_31
| spl50_37 ),
inference(avatar_split_clause,[],[f150,f348,f323]) ).
fof(f150,plain,
( r1(sK28,sK40)
| sP5(sK28) ),
inference(cnf_transformation,[],[f84]) ).
fof(f346,plain,
( spl50_31
| spl50_34
| ~ spl50_36 ),
inference(avatar_split_clause,[],[f151,f343,f335,f323]) ).
fof(f151,plain,
( ~ p2(sK40)
| sP1(sK40)
| sP5(sK28) ),
inference(cnf_transformation,[],[f84]) ).
fof(f341,plain,
( spl50_31
| spl50_34
| spl50_35 ),
inference(avatar_split_clause,[],[f152,f339,f335,f323]) ).
fof(f152,plain,
! [X29,X30] :
( ~ p2(X29)
| p2(X30)
| ~ r1(X29,X30)
| ~ r1(sK40,X29)
| sP1(sK40)
| sP5(sK28) ),
inference(cnf_transformation,[],[f84]) ).
fof(f333,plain,
( spl50_31
| spl50_33 ),
inference(avatar_split_clause,[],[f153,f331,f323]) ).
fof(f153,plain,
! [X26] :
( ~ p2(X26)
| sP3(X26)
| sP4(X26)
| ~ r1(sK40,X26)
| sP5(sK28) ),
inference(cnf_transformation,[],[f84]) ).
fof(f329,plain,
( spl50_31
| spl50_32 ),
inference(avatar_split_clause,[],[f154,f327,f323]) ).
fof(f154,plain,
! [X28,X26,X27] :
( ~ p2(X27)
| p2(X28)
| ~ r1(X27,X28)
| ~ r1(X26,X27)
| sP3(X26)
| sP4(X26)
| ~ r1(sK40,X26)
| sP5(sK28) ),
inference(cnf_transformation,[],[f84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : LCL642+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 16:36:04 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_NEQ problem
% 0.15/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.WnU6Ho2lDa/Vampire---4.8_28931
% 0.58/0.79 % (29134)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.58/0.79 % (29131)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.64/0.79 % (29130)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.64/0.79 % (29132)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.64/0.79 % (29133)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.64/0.79 % (29136)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.64/0.79 % (29135)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.64/0.80 % (29137)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.64/0.81 % (29134)Instruction limit reached!
% 0.64/0.81 % (29134)------------------------------
% 0.64/0.81 % (29134)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.81 % (29134)Termination reason: Unknown
% 0.64/0.81 % (29134)Termination phase: Saturation
% 0.64/0.81
% 0.64/0.81 % (29134)Memory used [KB]: 1851
% 0.64/0.81 % (29134)Time elapsed: 0.020 s
% 0.64/0.81 % (29134)Instructions burned: 35 (million)
% 0.64/0.81 % (29134)------------------------------
% 0.64/0.81 % (29134)------------------------------
% 0.64/0.81 % (29140)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.64/0.82 % (29133)Instruction limit reached!
% 0.64/0.82 % (29133)------------------------------
% 0.64/0.82 % (29133)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.82 % (29133)Termination reason: Unknown
% 0.64/0.82 % (29133)Termination phase: Saturation
% 0.64/0.82
% 0.64/0.82 % (29133)Memory used [KB]: 1620
% 0.64/0.82 % (29133)Time elapsed: 0.030 s
% 0.64/0.82 % (29133)Instructions burned: 33 (million)
% 0.64/0.82 % (29133)------------------------------
% 0.64/0.82 % (29133)------------------------------
% 0.64/0.82 % (29131)Instruction limit reached!
% 0.64/0.82 % (29131)------------------------------
% 0.64/0.82 % (29131)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.82 % (29131)Termination reason: Unknown
% 0.64/0.82 % (29131)Termination phase: Saturation
% 0.64/0.82
% 0.64/0.82 % (29131)Memory used [KB]: 2060
% 0.64/0.82 % (29131)Time elapsed: 0.032 s
% 0.64/0.82 % (29131)Instructions burned: 51 (million)
% 0.64/0.82 % (29131)------------------------------
% 0.64/0.82 % (29131)------------------------------
% 0.64/0.82 % (29130)Instruction limit reached!
% 0.64/0.82 % (29130)------------------------------
% 0.64/0.82 % (29130)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.82 % (29130)Termination reason: Unknown
% 0.64/0.82 % (29130)Termination phase: Saturation
% 0.64/0.82
% 0.64/0.82 % (29130)Memory used [KB]: 1651
% 0.64/0.82 % (29130)Time elapsed: 0.032 s
% 0.64/0.82 % (29130)Instructions burned: 34 (million)
% 0.64/0.82 % (29130)------------------------------
% 0.64/0.82 % (29130)------------------------------
% 0.64/0.83 % (29141)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.64/0.83 % (29142)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.64/0.83 % (29135)Instruction limit reached!
% 0.64/0.83 % (29135)------------------------------
% 0.64/0.83 % (29135)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.83 % (29135)Termination reason: Unknown
% 0.64/0.83 % (29135)Termination phase: Saturation
% 0.64/0.83
% 0.64/0.83 % (29135)Memory used [KB]: 1846
% 0.64/0.83 % (29135)Time elapsed: 0.035 s
% 0.64/0.83 % (29135)Instructions burned: 46 (million)
% 0.64/0.83 % (29135)------------------------------
% 0.64/0.83 % (29135)------------------------------
% 0.64/0.83 % (29143)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.64/0.83 % (29146)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.64/0.83 % (29137)Instruction limit reached!
% 0.64/0.83 % (29137)------------------------------
% 0.64/0.83 % (29137)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.83 % (29137)Termination reason: Unknown
% 0.64/0.83 % (29137)Termination phase: Saturation
% 0.64/0.83
% 0.64/0.83 % (29137)Memory used [KB]: 1618
% 0.64/0.83 % (29137)Time elapsed: 0.039 s
% 0.64/0.83 % (29137)Instructions burned: 57 (million)
% 0.64/0.83 % (29137)------------------------------
% 0.64/0.83 % (29137)------------------------------
% 0.64/0.83 % (29147)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.64/0.83 % (29140)Instruction limit reached!
% 0.64/0.83 % (29140)------------------------------
% 0.64/0.83 % (29140)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.84 % (29140)Termination reason: Unknown
% 0.64/0.84 % (29140)Termination phase: Property scanning
% 0.64/0.84
% 0.64/0.84 % (29140)Memory used [KB]: 2249
% 0.64/0.84 % (29140)Time elapsed: 0.023 s
% 0.64/0.84 % (29140)Instructions burned: 56 (million)
% 0.64/0.84 % (29140)------------------------------
% 0.64/0.84 % (29140)------------------------------
% 0.64/0.84 % (29149)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.64/0.84 % (29132)First to succeed.
% 0.64/0.85 % (29136)Instruction limit reached!
% 0.64/0.85 % (29136)------------------------------
% 0.64/0.85 % (29136)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.85 % (29136)Termination reason: Unknown
% 0.64/0.85 % (29136)Termination phase: Saturation
% 0.64/0.85
% 0.64/0.85 % (29136)Memory used [KB]: 2724
% 0.64/0.85 % (29136)Time elapsed: 0.057 s
% 0.64/0.85 % (29136)Instructions burned: 83 (million)
% 0.64/0.85 % (29136)------------------------------
% 0.64/0.85 % (29136)------------------------------
% 0.64/0.85 % (29141)Instruction limit reached!
% 0.64/0.85 % (29141)------------------------------
% 0.64/0.85 % (29141)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.85 % (29141)Termination reason: Unknown
% 0.64/0.85 % (29141)Termination phase: Saturation
% 0.64/0.85
% 0.64/0.85 % (29141)Memory used [KB]: 1582
% 0.64/0.85 % (29141)Time elapsed: 0.047 s
% 0.64/0.85 % (29141)Instructions burned: 50 (million)
% 0.64/0.85 % (29141)------------------------------
% 0.64/0.85 % (29141)------------------------------
% 0.64/0.85 % (29147)Instruction limit reached!
% 0.64/0.85 % (29147)------------------------------
% 0.64/0.85 % (29147)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.85 % (29147)Termination reason: Unknown
% 0.64/0.85 % (29147)Termination phase: Property scanning
% 0.64/0.85
% 0.64/0.85 % (29147)Memory used [KB]: 2249
% 0.64/0.85 % (29147)Time elapsed: 0.020 s
% 0.64/0.85 % (29147)Instructions burned: 43 (million)
% 0.64/0.85 % (29147)------------------------------
% 0.64/0.85 % (29147)------------------------------
% 0.64/0.85 % (29150)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.64/0.85 % (29151)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.64/0.85 % (29132)Refutation found. Thanks to Tanya!
% 0.64/0.85 % SZS status Theorem for Vampire---4
% 0.64/0.85 % SZS output start Proof for Vampire---4
% See solution above
% 0.64/0.86 % (29132)------------------------------
% 0.64/0.86 % (29132)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.86 % (29132)Termination reason: Refutation
% 0.64/0.86
% 0.64/0.86 % (29132)Memory used [KB]: 1890
% 0.64/0.86 % (29132)Time elapsed: 0.062 s
% 0.64/0.86 % (29132)Instructions burned: 91 (million)
% 0.64/0.86 % (29132)------------------------------
% 0.64/0.86 % (29132)------------------------------
% 0.64/0.86 % (29105)Success in time 0.485 s
% 0.64/0.86 % Vampire---4.8 exiting
%------------------------------------------------------------------------------