TSTP Solution File: LCL642+1.005 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 17:48:55 EDT 2022
% Result : Theorem 0.15s 0.61s
% Output : Refutation 2.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 79
% Syntax : Number of formulae : 316 ( 5 unt; 0 def)
% Number of atoms : 3212 ( 0 equ)
% Maximal formula atoms : 192 ( 10 avg)
% Number of connectives : 4778 (1882 ~;2075 |; 751 &)
% ( 32 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 38 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 46 ( 45 usr; 33 prp; 0-2 aty)
% Number of functors : 38 ( 38 usr; 13 con; 0-1 aty)
% Number of variables : 1191 ( 894 !; 297 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1119,plain,
$false,
inference(avatar_sat_refutation,[],[f229,f296,f305,f324,f337,f559,f583,f628,f648,f676,f710,f720,f815,f828,f840,f872,f885,f902,f908,f912,f938,f942,f971,f1003,f1020,f1025,f1028,f1029,f1057,f1087,f1089,f1115,f1118]) ).
fof(f1118,plain,
( ~ spl50_34
| ~ spl50_66
| ~ spl50_70
| ~ spl50_71
| spl50_132 ),
inference(avatar_contradiction_clause,[],[f1117]) ).
fof(f1117,plain,
( $false
| ~ spl50_34
| ~ spl50_66
| ~ spl50_70
| ~ spl50_71
| spl50_132 ),
inference(subsumption_resolution,[],[f1116,f1102]) ).
fof(f1102,plain,
( ~ p2(sK40(sK45))
| spl50_132 ),
inference(avatar_component_clause,[],[f1101]) ).
fof(f1101,plain,
( spl50_132
<=> p2(sK40(sK45)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_132])]) ).
fof(f1116,plain,
( p2(sK40(sK45))
| ~ spl50_34
| ~ spl50_66
| ~ spl50_70
| ~ spl50_71 ),
inference(resolution,[],[f1111,f582]) ).
fof(f582,plain,
( r1(sK39(sK45),sK40(sK45))
| ~ spl50_71 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f580,plain,
( spl50_71
<=> r1(sK39(sK45),sK40(sK45)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_71])]) ).
fof(f1111,plain,
( ! [X1] :
( ~ r1(sK39(sK45),X1)
| p2(X1) )
| ~ spl50_34
| ~ spl50_66
| ~ spl50_70 ),
inference(subsumption_resolution,[],[f1110,f558]) ).
fof(f558,plain,
( p2(sK39(sK45))
| ~ spl50_66 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f556,plain,
( spl50_66
<=> p2(sK39(sK45)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_66])]) ).
fof(f1110,plain,
( ! [X1] :
( p2(X1)
| ~ r1(sK39(sK45),X1)
| ~ p2(sK39(sK45)) )
| ~ spl50_34
| ~ spl50_70 ),
inference(resolution,[],[f336,f577]) ).
fof(f577,plain,
( r1(sK45,sK39(sK45))
| ~ spl50_70 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f575,plain,
( spl50_70
<=> r1(sK45,sK39(sK45)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_70])]) ).
fof(f336,plain,
( ! [X32,X33] :
( ~ r1(sK45,X32)
| p2(X33)
| ~ r1(X32,X33)
| ~ p2(X32) )
| ~ spl50_34 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f335,plain,
( spl50_34
<=> ! [X32,X33] :
( p2(X33)
| ~ p2(X32)
| ~ r1(sK45,X32)
| ~ r1(X32,X33) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_34])]) ).
fof(f1115,plain,
( spl50_24
| ~ spl50_31
| ~ spl50_132 ),
inference(avatar_contradiction_clause,[],[f1114]) ).
fof(f1114,plain,
( $false
| spl50_24
| ~ spl50_31
| ~ spl50_132 ),
inference(subsumption_resolution,[],[f1113,f291]) ).
fof(f291,plain,
( ~ p2(sK45)
| spl50_24 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f289,plain,
( spl50_24
<=> p2(sK45) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_24])]) ).
fof(f1113,plain,
( p2(sK45)
| ~ spl50_31
| ~ spl50_132 ),
inference(subsumption_resolution,[],[f1112,f323]) ).
fof(f323,plain,
( r1(sK28,sK45)
| ~ spl50_31 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f321,plain,
( spl50_31
<=> r1(sK28,sK45) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_31])]) ).
fof(f1112,plain,
( ~ r1(sK28,sK45)
| p2(sK45)
| ~ spl50_132 ),
inference(resolution,[],[f1103,f159]) ).
fof(f159,plain,
! [X21] :
( ~ p2(sK40(X21))
| ~ r1(sK28,X21)
| p2(X21) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( ( p1(sK28)
| p2(sK28)
| ! [X1] : ~ r1(sK28,X1)
| ( ~ p1(sK29)
& ~ p4(sK29)
& sP7(sK29)
& r1(sK28,sK29)
& ~ p2(sK29)
& r1(sK29,sK30)
& ~ p3(sK29) )
| p4(sK28)
| p3(sK28) )
& ! [X4] :
( ~ r1(sK28,X4)
| ( r1(sK31(X4),sK32(X4))
& ~ p1(sK32(X4))
& r1(X4,sK31(X4))
& p1(sK31(X4)) )
| p1(X4) )
& ( p1(sK28)
| ( ~ p1(sK33)
& ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9)
| p2(X9)
| ! [X10] : ~ r1(X9,X10) )
| ~ r1(sK33,X8)
| ( ~ p2(X8)
& r1(X8,sK34(X8))
& ~ p1(X8) ) )
& ~ p2(sK33)
& r1(sK28,sK33)
& r1(sK33,sK35) )
| p2(sK28)
| ! [X13] : ~ r1(sK28,X13) )
& ( ! [X14] : ~ r1(sK28,X14)
| p1(sK28)
| ( r1(sK36,sK37)
& ~ p1(sK36)
& ! [X17] :
( ! [X18] :
( ~ r1(X17,X18)
| p1(X18)
| ! [X19] : ~ r1(X18,X19) )
| ~ r1(sK36,X17)
| ( r1(X17,sK38(X17))
& ~ p1(X17) ) )
& r1(sK28,sK36) ) )
& ! [X21] :
( p2(X21)
| ~ r1(sK28,X21)
| ( ~ p2(sK40(X21))
& r1(sK39(X21),sK40(X21))
& p2(sK39(X21))
& r1(X21,sK39(X21)) ) )
& ! [X24] :
( ~ r1(sK28,X24)
| p2(X24)
| ( ! [X26] :
( ~ r1(sK41(X24),X26)
| ! [X27] :
( ~ r1(X26,X27)
| p2(X27) )
| ~ p2(X26) )
& ~ p2(sK41(X24))
& r1(X24,sK41(X24)) ) )
& ~ p1(sK42)
& r1(sK28,sK42)
& r1(sK28,sK43)
& ~ p3(sK43)
& ~ p2(sK44)
& r1(sK28,sK44)
& ( sP6(sK28)
| ( ( ( ~ p2(sK45)
& ! [X32] :
( ! [X33] :
( p2(X33)
| ~ r1(X32,X33) )
| ~ r1(sK45,X32)
| ~ p2(X32) ) )
| sP4(sK45) )
& r1(sK28,sK45)
& ! [X34] :
( ( ~ p2(X34)
& ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ p2(X35) ) )
| ~ r1(sK45,X34)
| sP3(X34)
| sP2(X34) ) ) )
& ! [X37] :
( p3(X37)
| ~ r1(sK28,X37)
| ( r1(sK46(X37),sK47(X37))
& ~ p3(sK47(X37))
& r1(X37,sK46(X37))
& p3(sK46(X37)) ) )
& ( ( ~ p1(sK48)
& ~ p2(sK48)
& ~ p3(sK48)
& sP0(sK48)
& r1(sK48,sK49)
& r1(sK28,sK48) )
| ! [X42] : ~ r1(sK28,X42)
| p1(sK28)
| p2(sK28)
| p3(sK28) ) ),
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] :
( ( p1(X0)
| p2(X0)
| ! [X1] : ~ r1(X0,X1)
| ? [X2] :
( ~ p1(X2)
& ~ p4(X2)
& sP7(X2)
& r1(X0,X2)
& ~ p2(X2)
& ? [X3] : r1(X2,X3)
& ~ p3(X2) )
| p4(X0)
| p3(X0) )
& ! [X4] :
( ~ r1(X0,X4)
| ? [X5] :
( ? [X6] :
( r1(X5,X6)
& ~ p1(X6) )
& r1(X4,X5)
& p1(X5) )
| p1(X4) )
& ( p1(X0)
| ? [X7] :
( ~ p1(X7)
& ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9)
| p2(X9)
| ! [X10] : ~ r1(X9,X10) )
| ~ r1(X7,X8)
| ( ~ p2(X8)
& ? [X11] : r1(X8,X11)
& ~ p1(X8) ) )
& ~ p2(X7)
& r1(X0,X7)
& ? [X12] : r1(X7,X12) )
| p2(X0)
| ! [X13] : ~ r1(X0,X13) )
& ( ! [X14] : ~ r1(X0,X14)
| p1(X0)
| ? [X15] :
( ? [X16] : r1(X15,X16)
& ~ p1(X15)
& ! [X17] :
( ! [X18] :
( ~ r1(X17,X18)
| p1(X18)
| ! [X19] : ~ r1(X18,X19) )
| ~ r1(X15,X17)
| ( ? [X20] : r1(X17,X20)
& ~ p1(X17) ) )
& r1(X0,X15) ) )
& ! [X21] :
( p2(X21)
| ~ r1(X0,X21)
| ? [X22] :
( ? [X23] :
( ~ p2(X23)
& r1(X22,X23) )
& p2(X22)
& r1(X21,X22) ) )
& ! [X24] :
( ~ r1(X0,X24)
| p2(X24)
| ? [X25] :
( ! [X26] :
( ~ r1(X25,X26)
| ! [X27] :
( ~ r1(X26,X27)
| p2(X27) )
| ~ p2(X26) )
& ~ p2(X25)
& r1(X24,X25) ) )
& ? [X28] :
( ~ p1(X28)
& r1(X0,X28) )
& ? [X29] :
( r1(X0,X29)
& ~ p3(X29) )
& ? [X30] :
( ~ p2(X30)
& r1(X0,X30) )
& ( sP6(X0)
| ? [X31] :
( ( ( ~ p2(X31)
& ! [X32] :
( ! [X33] :
( p2(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32)
| ~ p2(X32) ) )
| sP4(X31) )
& r1(X0,X31)
& ! [X34] :
( ( ~ p2(X34)
& ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ p2(X35) ) )
| ~ r1(X31,X34)
| sP3(X34)
| sP2(X34) ) ) )
& ! [X37] :
( p3(X37)
| ~ r1(X0,X37)
| ? [X38] :
( ? [X39] :
( r1(X38,X39)
& ~ p3(X39) )
& r1(X37,X38)
& p3(X38) ) )
& ( ? [X40] :
( ~ p1(X40)
& ~ p2(X40)
& ~ p3(X40)
& sP0(X40)
& ? [X41] : r1(X40,X41)
& r1(X0,X40) )
| ! [X42] : ~ r1(X0,X42)
| p1(X0)
| p2(X0)
| p3(X0) ) )
=> ( ( p1(sK28)
| p2(sK28)
| ! [X1] : ~ r1(sK28,X1)
| ? [X2] :
( ~ p1(X2)
& ~ p4(X2)
& sP7(X2)
& r1(sK28,X2)
& ~ p2(X2)
& ? [X3] : r1(X2,X3)
& ~ p3(X2) )
| p4(sK28)
| p3(sK28) )
& ! [X4] :
( ~ r1(sK28,X4)
| ? [X5] :
( ? [X6] :
( r1(X5,X6)
& ~ p1(X6) )
& r1(X4,X5)
& p1(X5) )
| p1(X4) )
& ( p1(sK28)
| ? [X7] :
( ~ p1(X7)
& ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9)
| p2(X9)
| ! [X10] : ~ r1(X9,X10) )
| ~ r1(X7,X8)
| ( ~ p2(X8)
& ? [X11] : r1(X8,X11)
& ~ p1(X8) ) )
& ~ p2(X7)
& r1(sK28,X7)
& ? [X12] : r1(X7,X12) )
| p2(sK28)
| ! [X13] : ~ r1(sK28,X13) )
& ( ! [X14] : ~ r1(sK28,X14)
| p1(sK28)
| ? [X15] :
( ? [X16] : r1(X15,X16)
& ~ p1(X15)
& ! [X17] :
( ! [X18] :
( ~ r1(X17,X18)
| p1(X18)
| ! [X19] : ~ r1(X18,X19) )
| ~ r1(X15,X17)
| ( ? [X20] : r1(X17,X20)
& ~ p1(X17) ) )
& r1(sK28,X15) ) )
& ! [X21] :
( p2(X21)
| ~ r1(sK28,X21)
| ? [X22] :
( ? [X23] :
( ~ p2(X23)
& r1(X22,X23) )
& p2(X22)
& r1(X21,X22) ) )
& ! [X24] :
( ~ r1(sK28,X24)
| p2(X24)
| ? [X25] :
( ! [X26] :
( ~ r1(X25,X26)
| ! [X27] :
( ~ r1(X26,X27)
| p2(X27) )
| ~ p2(X26) )
& ~ p2(X25)
& r1(X24,X25) ) )
& ? [X28] :
( ~ p1(X28)
& r1(sK28,X28) )
& ? [X29] :
( r1(sK28,X29)
& ~ p3(X29) )
& ? [X30] :
( ~ p2(X30)
& r1(sK28,X30) )
& ( sP6(sK28)
| ? [X31] :
( ( ( ~ p2(X31)
& ! [X32] :
( ! [X33] :
( p2(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32)
| ~ p2(X32) ) )
| sP4(X31) )
& r1(sK28,X31)
& ! [X34] :
( ( ~ p2(X34)
& ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ p2(X35) ) )
| ~ r1(X31,X34)
| sP3(X34)
| sP2(X34) ) ) )
& ! [X37] :
( p3(X37)
| ~ r1(sK28,X37)
| ? [X38] :
( ? [X39] :
( r1(X38,X39)
& ~ p3(X39) )
& r1(X37,X38)
& p3(X38) ) )
& ( ? [X40] :
( ~ p1(X40)
& ~ p2(X40)
& ~ p3(X40)
& sP0(X40)
& ? [X41] : r1(X40,X41)
& r1(sK28,X40) )
| ! [X42] : ~ r1(sK28,X42)
| p1(sK28)
| p2(sK28)
| p3(sK28) ) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
( ? [X2] :
( ~ p1(X2)
& ~ p4(X2)
& sP7(X2)
& r1(sK28,X2)
& ~ p2(X2)
& ? [X3] : r1(X2,X3)
& ~ p3(X2) )
=> ( ~ p1(sK29)
& ~ p4(sK29)
& sP7(sK29)
& r1(sK28,sK29)
& ~ p2(sK29)
& ? [X3] : r1(sK29,X3)
& ~ p3(sK29) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
( ? [X3] : r1(sK29,X3)
=> r1(sK29,sK30) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
! [X4] :
( ? [X5] :
( ? [X6] :
( r1(X5,X6)
& ~ p1(X6) )
& r1(X4,X5)
& p1(X5) )
=> ( ? [X6] :
( r1(sK31(X4),X6)
& ~ p1(X6) )
& r1(X4,sK31(X4))
& p1(sK31(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
! [X4] :
( ? [X6] :
( r1(sK31(X4),X6)
& ~ p1(X6) )
=> ( r1(sK31(X4),sK32(X4))
& ~ p1(sK32(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
( ? [X7] :
( ~ p1(X7)
& ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9)
| p2(X9)
| ! [X10] : ~ r1(X9,X10) )
| ~ r1(X7,X8)
| ( ~ p2(X8)
& ? [X11] : r1(X8,X11)
& ~ p1(X8) ) )
& ~ p2(X7)
& r1(sK28,X7)
& ? [X12] : r1(X7,X12) )
=> ( ~ p1(sK33)
& ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9)
| p2(X9)
| ! [X10] : ~ r1(X9,X10) )
| ~ r1(sK33,X8)
| ( ~ p2(X8)
& ? [X11] : r1(X8,X11)
& ~ p1(X8) ) )
& ~ p2(sK33)
& r1(sK28,sK33)
& ? [X12] : r1(sK33,X12) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X8] :
( ? [X11] : r1(X8,X11)
=> r1(X8,sK34(X8)) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
( ? [X12] : r1(sK33,X12)
=> r1(sK33,sK35) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
( ? [X15] :
( ? [X16] : r1(X15,X16)
& ~ p1(X15)
& ! [X17] :
( ! [X18] :
( ~ r1(X17,X18)
| p1(X18)
| ! [X19] : ~ r1(X18,X19) )
| ~ r1(X15,X17)
| ( ? [X20] : r1(X17,X20)
& ~ p1(X17) ) )
& r1(sK28,X15) )
=> ( ? [X16] : r1(sK36,X16)
& ~ p1(sK36)
& ! [X17] :
( ! [X18] :
( ~ r1(X17,X18)
| p1(X18)
| ! [X19] : ~ r1(X18,X19) )
| ~ r1(sK36,X17)
| ( ? [X20] : r1(X17,X20)
& ~ p1(X17) ) )
& r1(sK28,sK36) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
( ? [X16] : r1(sK36,X16)
=> r1(sK36,sK37) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X17] :
( ? [X20] : r1(X17,X20)
=> r1(X17,sK38(X17)) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
! [X21] :
( ? [X22] :
( ? [X23] :
( ~ p2(X23)
& r1(X22,X23) )
& p2(X22)
& r1(X21,X22) )
=> ( ? [X23] :
( ~ p2(X23)
& r1(sK39(X21),X23) )
& p2(sK39(X21))
& r1(X21,sK39(X21)) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
! [X21] :
( ? [X23] :
( ~ p2(X23)
& r1(sK39(X21),X23) )
=> ( ~ p2(sK40(X21))
& r1(sK39(X21),sK40(X21)) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X24] :
( ? [X25] :
( ! [X26] :
( ~ r1(X25,X26)
| ! [X27] :
( ~ r1(X26,X27)
| p2(X27) )
| ~ p2(X26) )
& ~ p2(X25)
& r1(X24,X25) )
=> ( ! [X26] :
( ~ r1(sK41(X24),X26)
| ! [X27] :
( ~ r1(X26,X27)
| p2(X27) )
| ~ p2(X26) )
& ~ p2(sK41(X24))
& r1(X24,sK41(X24)) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
( ? [X28] :
( ~ p1(X28)
& r1(sK28,X28) )
=> ( ~ p1(sK42)
& r1(sK28,sK42) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
( ? [X29] :
( r1(sK28,X29)
& ~ p3(X29) )
=> ( r1(sK28,sK43)
& ~ p3(sK43) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
( ? [X30] :
( ~ p2(X30)
& r1(sK28,X30) )
=> ( ~ p2(sK44)
& r1(sK28,sK44) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
( ? [X31] :
( ( ( ~ p2(X31)
& ! [X32] :
( ! [X33] :
( p2(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32)
| ~ p2(X32) ) )
| sP4(X31) )
& r1(sK28,X31)
& ! [X34] :
( ( ~ p2(X34)
& ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ p2(X35) ) )
| ~ r1(X31,X34)
| sP3(X34)
| sP2(X34) ) )
=> ( ( ( ~ p2(sK45)
& ! [X32] :
( ! [X33] :
( p2(X33)
| ~ r1(X32,X33) )
| ~ r1(sK45,X32)
| ~ p2(X32) ) )
| sP4(sK45) )
& r1(sK28,sK45)
& ! [X34] :
( ( ~ p2(X34)
& ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ p2(X35) ) )
| ~ r1(sK45,X34)
| sP3(X34)
| sP2(X34) ) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
! [X37] :
( ? [X38] :
( ? [X39] :
( r1(X38,X39)
& ~ p3(X39) )
& r1(X37,X38)
& p3(X38) )
=> ( ? [X39] :
( r1(sK46(X37),X39)
& ~ p3(X39) )
& r1(X37,sK46(X37))
& p3(sK46(X37)) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X37] :
( ? [X39] :
( r1(sK46(X37),X39)
& ~ p3(X39) )
=> ( r1(sK46(X37),sK47(X37))
& ~ p3(sK47(X37)) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
( ? [X40] :
( ~ p1(X40)
& ~ p2(X40)
& ~ p3(X40)
& sP0(X40)
& ? [X41] : r1(X40,X41)
& r1(sK28,X40) )
=> ( ~ p1(sK48)
& ~ p2(sK48)
& ~ p3(sK48)
& sP0(sK48)
& ? [X41] : r1(sK48,X41)
& r1(sK28,sK48) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
( ? [X41] : r1(sK48,X41)
=> r1(sK48,sK49) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
? [X0] :
( ( p1(X0)
| p2(X0)
| ! [X1] : ~ r1(X0,X1)
| ? [X2] :
( ~ p1(X2)
& ~ p4(X2)
& sP7(X2)
& r1(X0,X2)
& ~ p2(X2)
& ? [X3] : r1(X2,X3)
& ~ p3(X2) )
| p4(X0)
| p3(X0) )
& ! [X4] :
( ~ r1(X0,X4)
| ? [X5] :
( ? [X6] :
( r1(X5,X6)
& ~ p1(X6) )
& r1(X4,X5)
& p1(X5) )
| p1(X4) )
& ( p1(X0)
| ? [X7] :
( ~ p1(X7)
& ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9)
| p2(X9)
| ! [X10] : ~ r1(X9,X10) )
| ~ r1(X7,X8)
| ( ~ p2(X8)
& ? [X11] : r1(X8,X11)
& ~ p1(X8) ) )
& ~ p2(X7)
& r1(X0,X7)
& ? [X12] : r1(X7,X12) )
| p2(X0)
| ! [X13] : ~ r1(X0,X13) )
& ( ! [X14] : ~ r1(X0,X14)
| p1(X0)
| ? [X15] :
( ? [X16] : r1(X15,X16)
& ~ p1(X15)
& ! [X17] :
( ! [X18] :
( ~ r1(X17,X18)
| p1(X18)
| ! [X19] : ~ r1(X18,X19) )
| ~ r1(X15,X17)
| ( ? [X20] : r1(X17,X20)
& ~ p1(X17) ) )
& r1(X0,X15) ) )
& ! [X21] :
( p2(X21)
| ~ r1(X0,X21)
| ? [X22] :
( ? [X23] :
( ~ p2(X23)
& r1(X22,X23) )
& p2(X22)
& r1(X21,X22) ) )
& ! [X24] :
( ~ r1(X0,X24)
| p2(X24)
| ? [X25] :
( ! [X26] :
( ~ r1(X25,X26)
| ! [X27] :
( ~ r1(X26,X27)
| p2(X27) )
| ~ p2(X26) )
& ~ p2(X25)
& r1(X24,X25) ) )
& ? [X28] :
( ~ p1(X28)
& r1(X0,X28) )
& ? [X29] :
( r1(X0,X29)
& ~ p3(X29) )
& ? [X30] :
( ~ p2(X30)
& r1(X0,X30) )
& ( sP6(X0)
| ? [X31] :
( ( ( ~ p2(X31)
& ! [X32] :
( ! [X33] :
( p2(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32)
| ~ p2(X32) ) )
| sP4(X31) )
& r1(X0,X31)
& ! [X34] :
( ( ~ p2(X34)
& ! [X35] :
( ~ r1(X34,X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ p2(X35) ) )
| ~ r1(X31,X34)
| sP3(X34)
| sP2(X34) ) ) )
& ! [X37] :
( p3(X37)
| ~ r1(X0,X37)
| ? [X38] :
( ? [X39] :
( r1(X38,X39)
& ~ p3(X39) )
& r1(X37,X38)
& p3(X38) ) )
& ( ? [X40] :
( ~ p1(X40)
& ~ p2(X40)
& ~ p3(X40)
& sP0(X40)
& ? [X41] : r1(X40,X41)
& r1(X0,X40) )
| ! [X42] : ~ r1(X0,X42)
| p1(X0)
| p2(X0)
| p3(X0) ) ),
inference(rectify,[],[f16]) ).
fof(f16,plain,
? [X0] :
( ( p1(X0)
| p2(X0)
| ! [X56] : ~ r1(X0,X56)
| ? [X50] :
( ~ p1(X50)
& ~ p4(X50)
& sP7(X50)
& r1(X0,X50)
& ~ p2(X50)
& ? [X55] : r1(X50,X55)
& ~ p3(X50) )
| p4(X0)
| p3(X0) )
& ! [X78] :
( ~ r1(X0,X78)
| ? [X79] :
( ? [X80] :
( r1(X79,X80)
& ~ p1(X80) )
& r1(X78,X79)
& p1(X79) )
| p1(X78) )
& ( p1(X0)
| ? [X58] :
( ~ p1(X58)
& ! [X60] :
( ! [X61] :
( p1(X61)
| ~ r1(X60,X61)
| p2(X61)
| ! [X62] : ~ r1(X61,X62) )
| ~ r1(X58,X60)
| ( ~ p2(X60)
& ? [X63] : r1(X60,X63)
& ~ p1(X60) ) )
& ~ p2(X58)
& r1(X0,X58)
& ? [X59] : r1(X58,X59) )
| p2(X0)
| ! [X57] : ~ r1(X0,X57) )
& ( ! [X74] : ~ r1(X0,X74)
| p1(X0)
| ? [X68] :
( ? [X69] : r1(X68,X69)
& ~ p1(X68)
& ! [X70] :
( ! [X72] :
( ~ r1(X70,X72)
| p1(X72)
| ! [X73] : ~ r1(X72,X73) )
| ~ r1(X68,X70)
| ( ? [X71] : r1(X70,X71)
& ~ p1(X70) ) )
& r1(X0,X68) ) )
& ! [X75] :
( p2(X75)
| ~ r1(X0,X75)
| ? [X76] :
( ? [X77] :
( ~ p2(X77)
& r1(X76,X77) )
& p2(X76)
& r1(X75,X76) ) )
& ! [X64] :
( ~ r1(X0,X64)
| p2(X64)
| ? [X65] :
( ! [X66] :
( ~ r1(X65,X66)
| ! [X67] :
( ~ r1(X66,X67)
| p2(X67) )
| ~ p2(X66) )
& ~ p2(X65)
& r1(X64,X65) ) )
& ? [X81] :
( ~ p1(X81)
& r1(X0,X81) )
& ? [X83] :
( r1(X0,X83)
& ~ p3(X83) )
& ? [X82] :
( ~ p2(X82)
& r1(X0,X82) )
& ( sP6(X0)
| ? [X11] :
( ( ( ~ p2(X11)
& ! [X12] :
( ! [X13] :
( p2(X13)
| ~ r1(X12,X13) )
| ~ r1(X11,X12)
| ~ p2(X12) ) )
| sP4(X11) )
& r1(X0,X11)
& ! [X21] :
( ( ~ p2(X21)
& ! [X32] :
( ~ r1(X21,X32)
| ! [X33] :
( p2(X33)
| ~ r1(X32,X33) )
| ~ p2(X32) ) )
| ~ r1(X11,X21)
| sP3(X21)
| sP2(X21) ) ) )
& ! [X1] :
( p3(X1)
| ~ r1(X0,X1)
| ? [X2] :
( ? [X3] :
( r1(X2,X3)
& ~ p3(X3) )
& r1(X1,X2)
& p3(X2) ) )
& ( ? [X5] :
( ~ p1(X5)
& ~ p2(X5)
& ~ p3(X5)
& sP0(X5)
& ? [X10] : r1(X5,X10)
& r1(X0,X5) )
| ! [X4] : ~ r1(X0,X4)
| p1(X0)
| p2(X0)
| p3(X0) ) ),
inference(definition_folding,[],[f7,f15,f14,f13,f12,f11,f10,f9,f8]) ).
fof(f8,plain,
! [X5] :
( ! [X6] :
( ( ~ p2(X6)
& ~ p3(X6)
& ~ p1(X6)
& ? [X7] : r1(X6,X7) )
| ~ r1(X5,X6)
| ! [X8] :
( p1(X8)
| p3(X8)
| ~ r1(X6,X8)
| ! [X9] : ~ r1(X8,X9)
| p2(X8) ) )
| ~ sP0(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f9,plain,
! [X22] :
( ! [X25] :
( ~ r1(X22,X25)
| ! [X26] :
( p2(X26)
| ? [X27] :
( ? [X28] :
( r1(X27,X28)
& ~ p2(X28) )
& p2(X27)
& r1(X26,X27) )
| ~ r1(X25,X26) ) )
| ~ sP1(X22) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f10,plain,
! [X21] :
( ( ? [X34] :
( r1(X21,X34)
& ? [X35] :
( ~ p2(X35)
& ! [X36] :
( ~ r1(X35,X36)
| ! [X37] :
( p2(X37)
| ~ r1(X36,X37) )
| ~ p2(X36) )
& r1(X34,X35) ) )
& ! [X38] :
( ~ r1(X21,X38)
| ? [X39] :
( ? [X40] :
( r1(X39,X40)
& ~ p2(X40) )
& p2(X39)
& r1(X38,X39) )
| p2(X38) ) )
| ~ sP2(X21) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f11,plain,
! [X21] :
( ! [X22] :
( ~ r1(X21,X22)
| ( ( ? [X23] :
( ? [X24] :
( r1(X23,X24)
& ~ p2(X24) )
& p2(X23)
& r1(X22,X23) )
| p2(X22) )
& ( sP1(X22)
| ? [X29] :
( r1(X22,X29)
& ! [X30] :
( ~ r1(X29,X30)
| ! [X31] :
( p2(X31)
| ~ r1(X30,X31) )
| ~ p2(X30) )
& ~ p2(X29) ) ) ) )
| ~ sP3(X21) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f12,plain,
! [X11] :
( ( ! [X18] :
( ~ r1(X11,X18)
| p2(X18)
| ? [X19] :
( ? [X20] :
( r1(X19,X20)
& ~ p2(X20) )
& p2(X19)
& r1(X18,X19) ) )
& ? [X14] :
( r1(X11,X14)
& ? [X15] :
( ! [X16] :
( ~ p2(X16)
| ~ r1(X15,X16)
| ! [X17] :
( p2(X17)
| ~ r1(X16,X17) ) )
& ~ p2(X15)
& r1(X14,X15) ) ) )
| ~ sP4(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f13,plain,
! [X0] :
( ! [X44] :
( ! [X45] :
( ~ r1(X44,X45)
| p2(X45)
| ? [X46] :
( ? [X47] :
( ~ p2(X47)
& r1(X46,X47) )
& r1(X45,X46)
& p2(X46) ) )
| ~ r1(X0,X44) )
| ~ sP5(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f14,plain,
! [X0] :
( ( ( ? [X41] :
( ! [X42] :
( ~ r1(X41,X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ p2(X42) )
& ~ p2(X41)
& r1(X0,X41) )
| sP5(X0) )
& ( p2(X0)
| ? [X48] :
( ? [X49] :
( ~ p2(X49)
& r1(X48,X49) )
& r1(X0,X48)
& p2(X48) ) ) )
| ~ sP6(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f15,plain,
! [X50] :
( ! [X51] :
( ( ~ p1(X51)
& ~ p3(X51)
& ~ p4(X51)
& ? [X52] : r1(X51,X52)
& ~ p2(X51) )
| ~ r1(X50,X51)
| ! [X53] :
( ! [X54] : ~ r1(X53,X54)
| p2(X53)
| p3(X53)
| p4(X53)
| p1(X53)
| ~ r1(X51,X53) ) )
| ~ sP7(X50) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f7,plain,
? [X0] :
( ( p1(X0)
| p2(X0)
| ! [X56] : ~ r1(X0,X56)
| ? [X50] :
( ~ p1(X50)
& ~ p4(X50)
& ! [X51] :
( ( ~ p1(X51)
& ~ p3(X51)
& ~ p4(X51)
& ? [X52] : r1(X51,X52)
& ~ p2(X51) )
| ~ r1(X50,X51)
| ! [X53] :
( ! [X54] : ~ r1(X53,X54)
| p2(X53)
| p3(X53)
| p4(X53)
| p1(X53)
| ~ r1(X51,X53) ) )
& r1(X0,X50)
& ~ p2(X50)
& ? [X55] : r1(X50,X55)
& ~ p3(X50) )
| p4(X0)
| p3(X0) )
& ! [X78] :
( ~ r1(X0,X78)
| ? [X79] :
( ? [X80] :
( r1(X79,X80)
& ~ p1(X80) )
& r1(X78,X79)
& p1(X79) )
| p1(X78) )
& ( p1(X0)
| ? [X58] :
( ~ p1(X58)
& ! [X60] :
( ! [X61] :
( p1(X61)
| ~ r1(X60,X61)
| p2(X61)
| ! [X62] : ~ r1(X61,X62) )
| ~ r1(X58,X60)
| ( ~ p2(X60)
& ? [X63] : r1(X60,X63)
& ~ p1(X60) ) )
& ~ p2(X58)
& r1(X0,X58)
& ? [X59] : r1(X58,X59) )
| p2(X0)
| ! [X57] : ~ r1(X0,X57) )
& ( ! [X74] : ~ r1(X0,X74)
| p1(X0)
| ? [X68] :
( ? [X69] : r1(X68,X69)
& ~ p1(X68)
& ! [X70] :
( ! [X72] :
( ~ r1(X70,X72)
| p1(X72)
| ! [X73] : ~ r1(X72,X73) )
| ~ r1(X68,X70)
| ( ? [X71] : r1(X70,X71)
& ~ p1(X70) ) )
& r1(X0,X68) ) )
& ! [X75] :
( p2(X75)
| ~ r1(X0,X75)
| ? [X76] :
( ? [X77] :
( ~ p2(X77)
& r1(X76,X77) )
& p2(X76)
& r1(X75,X76) ) )
& ! [X64] :
( ~ r1(X0,X64)
| p2(X64)
| ? [X65] :
( ! [X66] :
( ~ r1(X65,X66)
| ! [X67] :
( ~ r1(X66,X67)
| p2(X67) )
| ~ p2(X66) )
& ~ p2(X65)
& r1(X64,X65) ) )
& ? [X81] :
( ~ p1(X81)
& r1(X0,X81) )
& ? [X83] :
( r1(X0,X83)
& ~ p3(X83) )
& ? [X82] :
( ~ p2(X82)
& r1(X0,X82) )
& ( ( ( ? [X41] :
( ! [X42] :
( ~ r1(X41,X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ p2(X42) )
& ~ p2(X41)
& r1(X0,X41) )
| ! [X44] :
( ! [X45] :
( ~ r1(X44,X45)
| p2(X45)
| ? [X46] :
( ? [X47] :
( ~ p2(X47)
& r1(X46,X47) )
& r1(X45,X46)
& p2(X46) ) )
| ~ r1(X0,X44) ) )
& ( p2(X0)
| ? [X48] :
( ? [X49] :
( ~ p2(X49)
& r1(X48,X49) )
& r1(X0,X48)
& p2(X48) ) ) )
| ? [X11] :
( ( ( ~ p2(X11)
& ! [X12] :
( ! [X13] :
( p2(X13)
| ~ r1(X12,X13) )
| ~ r1(X11,X12)
| ~ p2(X12) ) )
| ( ! [X18] :
( ~ r1(X11,X18)
| p2(X18)
| ? [X19] :
( ? [X20] :
( r1(X19,X20)
& ~ p2(X20) )
& p2(X19)
& r1(X18,X19) ) )
& ? [X14] :
( r1(X11,X14)
& ? [X15] :
( ! [X16] :
( ~ p2(X16)
| ~ r1(X15,X16)
| ! [X17] :
( p2(X17)
| ~ r1(X16,X17) ) )
& ~ p2(X15)
& r1(X14,X15) ) ) ) )
& r1(X0,X11)
& ! [X21] :
( ( ~ p2(X21)
& ! [X32] :
( ~ r1(X21,X32)
| ! [X33] :
( p2(X33)
| ~ r1(X32,X33) )
| ~ p2(X32) ) )
| ~ r1(X11,X21)
| ! [X22] :
( ~ r1(X21,X22)
| ( ( ? [X23] :
( ? [X24] :
( r1(X23,X24)
& ~ p2(X24) )
& p2(X23)
& r1(X22,X23) )
| p2(X22) )
& ( ! [X25] :
( ~ r1(X22,X25)
| ! [X26] :
( p2(X26)
| ? [X27] :
( ? [X28] :
( r1(X27,X28)
& ~ p2(X28) )
& p2(X27)
& r1(X26,X27) )
| ~ r1(X25,X26) ) )
| ? [X29] :
( r1(X22,X29)
& ! [X30] :
( ~ r1(X29,X30)
| ! [X31] :
( p2(X31)
| ~ r1(X30,X31) )
| ~ p2(X30) )
& ~ p2(X29) ) ) ) )
| ( ? [X34] :
( r1(X21,X34)
& ? [X35] :
( ~ p2(X35)
& ! [X36] :
( ~ r1(X35,X36)
| ! [X37] :
( p2(X37)
| ~ r1(X36,X37) )
| ~ p2(X36) )
& r1(X34,X35) ) )
& ! [X38] :
( ~ r1(X21,X38)
| ? [X39] :
( ? [X40] :
( r1(X39,X40)
& ~ p2(X40) )
& p2(X39)
& r1(X38,X39) )
| p2(X38) ) ) ) ) )
& ! [X1] :
( p3(X1)
| ~ r1(X0,X1)
| ? [X2] :
( ? [X3] :
( r1(X2,X3)
& ~ p3(X3) )
& r1(X1,X2)
& p3(X2) ) )
& ( ? [X5] :
( ~ p1(X5)
& ~ p2(X5)
& ~ p3(X5)
& ! [X6] :
( ( ~ p2(X6)
& ~ p3(X6)
& ~ p1(X6)
& ? [X7] : r1(X6,X7) )
| ~ r1(X5,X6)
| ! [X8] :
( p1(X8)
| p3(X8)
| ~ r1(X6,X8)
| ! [X9] : ~ r1(X8,X9)
| p2(X8) ) )
& ? [X10] : r1(X5,X10)
& r1(X0,X5) )
| ! [X4] : ~ r1(X0,X4)
| p1(X0)
| p2(X0)
| p3(X0) ) ),
inference(flattening,[],[f6]) ).
fof(f6,plain,
? [X0] :
( ! [X75] :
( p2(X75)
| ~ r1(X0,X75)
| ? [X76] :
( ? [X77] :
( ~ p2(X77)
& r1(X76,X77) )
& p2(X76)
& r1(X75,X76) ) )
& ? [X81] :
( ~ p1(X81)
& r1(X0,X81) )
& ! [X78] :
( ~ r1(X0,X78)
| ? [X79] :
( ? [X80] :
( r1(X79,X80)
& ~ p1(X80) )
& r1(X78,X79)
& p1(X79) )
| p1(X78) )
& ? [X83] :
( r1(X0,X83)
& ~ p3(X83) )
& ( ? [X5] :
( ~ p1(X5)
& ~ p2(X5)
& ~ p3(X5)
& ! [X6] :
( ( ~ p2(X6)
& ~ p3(X6)
& ~ p1(X6)
& ? [X7] : r1(X6,X7) )
| ~ r1(X5,X6)
| ! [X8] :
( p1(X8)
| p3(X8)
| ~ r1(X6,X8)
| ! [X9] : ~ r1(X8,X9)
| p2(X8) ) )
& ? [X10] : r1(X5,X10)
& r1(X0,X5) )
| ! [X4] : ~ r1(X0,X4)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X11] :
( ( ( ~ p2(X11)
& ! [X12] :
( ! [X13] :
( p2(X13)
| ~ r1(X12,X13) )
| ~ r1(X11,X12)
| ~ p2(X12) ) )
| ( ! [X18] :
( ~ r1(X11,X18)
| p2(X18)
| ? [X19] :
( ? [X20] :
( r1(X19,X20)
& ~ p2(X20) )
& p2(X19)
& r1(X18,X19) ) )
& ? [X14] :
( r1(X11,X14)
& ? [X15] :
( ! [X16] :
( ~ p2(X16)
| ~ r1(X15,X16)
| ! [X17] :
( p2(X17)
| ~ r1(X16,X17) ) )
& ~ p2(X15)
& r1(X14,X15) ) ) ) )
& ! [X21] :
( ~ r1(X11,X21)
| ( ~ p2(X21)
& ! [X32] :
( ~ r1(X21,X32)
| ! [X33] :
( p2(X33)
| ~ r1(X32,X33) )
| ~ p2(X32) ) )
| ( ? [X34] :
( r1(X21,X34)
& ? [X35] :
( ~ p2(X35)
& ! [X36] :
( ~ r1(X35,X36)
| ! [X37] :
( p2(X37)
| ~ r1(X36,X37) )
| ~ p2(X36) )
& r1(X34,X35) ) )
& ! [X38] :
( ~ r1(X21,X38)
| ? [X39] :
( ? [X40] :
( r1(X39,X40)
& ~ p2(X40) )
& p2(X39)
& r1(X38,X39) )
| p2(X38) ) )
| ! [X22] :
( ~ r1(X21,X22)
| ( ( ? [X23] :
( ? [X24] :
( r1(X23,X24)
& ~ p2(X24) )
& p2(X23)
& r1(X22,X23) )
| p2(X22) )
& ( ! [X25] :
( ~ r1(X22,X25)
| ! [X26] :
( p2(X26)
| ? [X27] :
( ? [X28] :
( r1(X27,X28)
& ~ p2(X28) )
& p2(X27)
& r1(X26,X27) )
| ~ r1(X25,X26) ) )
| ? [X29] :
( r1(X22,X29)
& ! [X30] :
( ~ r1(X29,X30)
| ! [X31] :
( p2(X31)
| ~ r1(X30,X31) )
| ~ p2(X30) )
& ~ p2(X29) ) ) ) ) )
& r1(X0,X11) )
| ( ( ? [X41] :
( ! [X42] :
( ~ r1(X41,X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ p2(X42) )
& ~ p2(X41)
& r1(X0,X41) )
| ! [X44] :
( ! [X45] :
( ~ r1(X44,X45)
| p2(X45)
| ? [X46] :
( ? [X47] :
( ~ p2(X47)
& r1(X46,X47) )
& r1(X45,X46)
& p2(X46) ) )
| ~ r1(X0,X44) ) )
& ( p2(X0)
| ? [X48] :
( ? [X49] :
( ~ p2(X49)
& r1(X48,X49) )
& r1(X0,X48)
& p2(X48) ) ) ) )
& ( ! [X74] : ~ r1(X0,X74)
| p1(X0)
| ? [X68] :
( ? [X69] : r1(X68,X69)
& ~ p1(X68)
& ! [X70] :
( ! [X72] :
( ~ r1(X70,X72)
| p1(X72)
| ! [X73] : ~ r1(X72,X73) )
| ~ r1(X68,X70)
| ( ? [X71] : r1(X70,X71)
& ~ p1(X70) ) )
& r1(X0,X68) ) )
& ( p1(X0)
| p2(X0)
| ! [X56] : ~ r1(X0,X56)
| ? [X50] :
( ~ p1(X50)
& ~ p4(X50)
& ! [X51] :
( ( ~ p1(X51)
& ~ p3(X51)
& ~ p4(X51)
& ? [X52] : r1(X51,X52)
& ~ p2(X51) )
| ~ r1(X50,X51)
| ! [X53] :
( ! [X54] : ~ r1(X53,X54)
| p2(X53)
| p3(X53)
| p4(X53)
| p1(X53)
| ~ r1(X51,X53) ) )
& r1(X0,X50)
& ~ p2(X50)
& ? [X55] : r1(X50,X55)
& ~ p3(X50) )
| p4(X0)
| p3(X0) )
& ! [X64] :
( ~ r1(X0,X64)
| p2(X64)
| ? [X65] :
( ! [X66] :
( ~ r1(X65,X66)
| ! [X67] :
( ~ r1(X66,X67)
| p2(X67) )
| ~ p2(X66) )
& ~ p2(X65)
& r1(X64,X65) ) )
& ( p1(X0)
| ? [X58] :
( ~ p1(X58)
& ! [X60] :
( ! [X61] :
( p1(X61)
| ~ r1(X60,X61)
| p2(X61)
| ! [X62] : ~ r1(X61,X62) )
| ~ r1(X58,X60)
| ( ~ p2(X60)
& ? [X63] : r1(X60,X63)
& ~ p1(X60) ) )
& ~ p2(X58)
& r1(X0,X58)
& ? [X59] : r1(X58,X59) )
| p2(X0)
| ! [X57] : ~ r1(X0,X57) )
& ! [X1] :
( p3(X1)
| ~ r1(X0,X1)
| ? [X2] :
( ? [X3] :
( r1(X2,X3)
& ~ p3(X3) )
& r1(X1,X2)
& p3(X2) ) )
& ? [X82] :
( ~ p2(X82)
& r1(X0,X82) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ! [X75] :
( ~ ! [X76] :
( ~ r1(X75,X76)
| ~ p2(X76)
| ! [X77] :
( ~ r1(X76,X77)
| p2(X77) ) )
| ~ r1(X0,X75)
| p2(X75) )
| ! [X81] :
( p1(X81)
| ~ r1(X0,X81) )
| ~ ! [X78] :
( p1(X78)
| ~ r1(X0,X78)
| ~ ! [X79] :
( ~ r1(X78,X79)
| ! [X80] :
( ~ r1(X79,X80)
| p1(X80) )
| ~ p1(X79) ) )
| ! [X83] :
( p3(X83)
| ~ r1(X0,X83) )
| ~ ( ( p2(X0)
| p1(X0)
| ~ ! [X5] :
( ~ r1(X0,X5)
| p3(X5)
| p1(X5)
| ! [X10] : ~ r1(X5,X10)
| ~ ! [X6] :
( ! [X8] :
( p1(X8)
| p3(X8)
| ~ r1(X6,X8)
| ! [X9] : ~ r1(X8,X9)
| p2(X8) )
| ~ r1(X5,X6)
| ~ ( ! [X7] : ~ r1(X6,X7)
| p1(X6)
| p2(X6)
| p3(X6) ) )
| p2(X5) )
| ! [X4] : ~ r1(X0,X4)
| p3(X0) )
& ( ~ ! [X11] :
( ( ( ~ ! [X18] :
( ~ ! [X19] :
( ~ p2(X19)
| ! [X20] :
( ~ r1(X19,X20)
| p2(X20) )
| ~ r1(X18,X19) )
| ~ r1(X11,X18)
| p2(X18) )
| ! [X14] :
( ! [X15] :
( p2(X15)
| ~ r1(X14,X15)
| ~ ! [X16] :
( ~ p2(X16)
| ~ r1(X15,X16)
| ! [X17] :
( p2(X17)
| ~ r1(X16,X17) ) ) )
| ~ r1(X11,X14) ) )
& ( ~ ! [X12] :
( ! [X13] :
( p2(X13)
| ~ r1(X12,X13) )
| ~ r1(X11,X12)
| ~ p2(X12) )
| p2(X11) ) )
| ~ ! [X21] :
( ~ r1(X11,X21)
| ~ ( ( ~ ! [X32] :
( ~ r1(X21,X32)
| ! [X33] :
( p2(X33)
| ~ r1(X32,X33) )
| ~ p2(X32) )
| p2(X21) )
& ( ! [X34] :
( ! [X35] :
( ~ ! [X36] :
( ~ r1(X35,X36)
| ! [X37] :
( p2(X37)
| ~ r1(X36,X37) )
| ~ p2(X36) )
| ~ r1(X34,X35)
| p2(X35) )
| ~ r1(X21,X34) )
| ~ ! [X38] :
( ~ ! [X39] :
( ~ p2(X39)
| ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) ) )
| p2(X38)
| ~ r1(X21,X38) ) ) )
| ! [X22] :
( ~ r1(X21,X22)
| ( ( ~ ! [X29] :
( p2(X29)
| ~ r1(X22,X29)
| ~ ! [X30] :
( ~ r1(X29,X30)
| ! [X31] :
( p2(X31)
| ~ r1(X30,X31) )
| ~ p2(X30) ) )
| ! [X25] :
( ! [X26] :
( p2(X26)
| ~ r1(X25,X26)
| ~ ! [X27] :
( ~ p2(X27)
| ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| p2(X28) ) ) )
| ~ r1(X22,X25) ) )
& ( ~ ! [X23] :
( ~ r1(X22,X23)
| ! [X24] :
( ~ r1(X23,X24)
| p2(X24) )
| ~ p2(X23) )
| p2(X22) ) ) ) )
| ~ r1(X0,X11) )
| ( ( ! [X44] :
( ! [X45] :
( ~ r1(X44,X45)
| ~ ! [X46] :
( ~ p2(X46)
| ! [X47] :
( ~ r1(X46,X47)
| p2(X47) )
| ~ r1(X45,X46) )
| p2(X45) )
| ~ r1(X0,X44) )
| ~ ! [X41] :
( p2(X41)
| ~ ! [X42] :
( ~ r1(X41,X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ p2(X42) )
| ~ r1(X0,X41) ) )
& ( p2(X0)
| ~ ! [X48] :
( ! [X49] :
( ~ r1(X48,X49)
| p2(X49) )
| ~ r1(X0,X48)
| ~ p2(X48) ) ) ) )
& ( p1(X0)
| ! [X74] : ~ r1(X0,X74)
| ~ ! [X68] :
( p1(X68)
| ~ r1(X0,X68)
| ~ ! [X70] :
( ~ ( ! [X71] : ~ r1(X70,X71)
| p1(X70) )
| ! [X72] :
( ~ r1(X70,X72)
| p1(X72)
| ! [X73] : ~ r1(X72,X73) )
| ~ r1(X68,X70) )
| ! [X69] : ~ r1(X68,X69) ) )
& ( p2(X0)
| p4(X0)
| p1(X0)
| p3(X0)
| ! [X56] : ~ r1(X0,X56)
| ~ ! [X50] :
( p1(X50)
| p4(X50)
| p3(X50)
| ~ ! [X51] :
( ~ ( p4(X51)
| p3(X51)
| p2(X51)
| p1(X51)
| ! [X52] : ~ r1(X51,X52) )
| ! [X53] :
( ! [X54] : ~ r1(X53,X54)
| p2(X53)
| p3(X53)
| p4(X53)
| p1(X53)
| ~ r1(X51,X53) )
| ~ r1(X50,X51) )
| ~ r1(X0,X50)
| p2(X50)
| ! [X55] : ~ r1(X50,X55) ) )
& ! [X64] :
( ~ ! [X65] :
( ~ r1(X64,X65)
| ~ ! [X66] :
( ~ r1(X65,X66)
| ! [X67] :
( ~ r1(X66,X67)
| p2(X67) )
| ~ p2(X66) )
| p2(X65) )
| p2(X64)
| ~ r1(X0,X64) )
& ( p1(X0)
| ! [X57] : ~ r1(X0,X57)
| p2(X0)
| ~ ! [X58] :
( ~ ! [X60] :
( ~ r1(X58,X60)
| ~ ( p1(X60)
| p2(X60)
| ! [X63] : ~ r1(X60,X63) )
| ! [X61] :
( p1(X61)
| ~ r1(X60,X61)
| p2(X61)
| ! [X62] : ~ r1(X61,X62) ) )
| ! [X59] : ~ r1(X58,X59)
| p2(X58)
| p1(X58)
| ~ r1(X0,X58) ) ) )
| ~ ! [X1] :
( p3(X1)
| ~ ! [X2] :
( ! [X3] :
( p3(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2)
| ~ p3(X2) )
| ~ r1(X0,X1) )
| ! [X82] :
( ~ r1(X0,X82)
| p2(X82) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ! [X75] :
( ~ ! [X76] :
( ~ r1(X75,X76)
| ~ p2(X76)
| ! [X77] :
( ~ r1(X76,X77)
| p2(X77) ) )
| ~ r1(X0,X75)
| p2(X75) )
| ! [X81] :
( p1(X81)
| ~ r1(X0,X81) )
| ~ ! [X78] :
( p1(X78)
| ~ r1(X0,X78)
| ~ ! [X79] :
( ~ r1(X78,X79)
| ! [X80] :
( ~ r1(X79,X80)
| p1(X80) )
| ~ p1(X79) ) )
| ! [X83] :
( p3(X83)
| ~ r1(X0,X83) )
| ~ ( ( p2(X0)
| p1(X0)
| ~ ! [X5] :
( ~ r1(X0,X5)
| p3(X5)
| p1(X5)
| ! [X10] : ~ r1(X5,X10)
| ~ ! [X6] :
( ! [X8] :
( p1(X8)
| p3(X8)
| ~ r1(X6,X8)
| ! [X9] : ~ r1(X8,X9)
| p2(X8) )
| ~ r1(X5,X6)
| ~ ( ! [X7] : ~ r1(X6,X7)
| p1(X6)
| p2(X6)
| p3(X6) ) )
| p2(X5) )
| ! [X4] : ~ r1(X0,X4)
| p3(X0) )
& ( ~ ! [X11] :
( ( ( ~ ! [X18] :
( ~ ! [X19] :
( ~ p2(X19)
| ! [X20] :
( ~ r1(X19,X20)
| p2(X20) )
| ~ r1(X18,X19) )
| ~ r1(X11,X18)
| p2(X18) )
| ! [X14] :
( ! [X15] :
( p2(X15)
| ~ r1(X14,X15)
| ~ ! [X16] :
( ~ p2(X16)
| ~ r1(X15,X16)
| ! [X17] :
( p2(X17)
| ~ r1(X16,X17) ) ) )
| ~ r1(X11,X14) ) )
& ( ~ ! [X12] :
( ! [X13] :
( p2(X13)
| ~ r1(X12,X13) )
| ~ r1(X11,X12)
| ~ p2(X12) )
| p2(X11) ) )
| ~ ! [X21] :
( ~ r1(X11,X21)
| ~ ( ( ~ ! [X32] :
( ~ r1(X21,X32)
| ! [X33] :
( p2(X33)
| ~ r1(X32,X33) )
| ~ p2(X32) )
| p2(X21) )
& ( ! [X34] :
( ! [X35] :
( ~ ! [X36] :
( ~ r1(X35,X36)
| ! [X37] :
( p2(X37)
| ~ r1(X36,X37) )
| ~ p2(X36) )
| ~ r1(X34,X35)
| p2(X35) )
| ~ r1(X21,X34) )
| ~ ! [X38] :
( ~ ! [X39] :
( ~ p2(X39)
| ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) ) )
| p2(X38)
| ~ r1(X21,X38) ) ) )
| ! [X22] :
( ~ r1(X21,X22)
| ( ( ~ ! [X29] :
( p2(X29)
| ~ r1(X22,X29)
| ~ ! [X30] :
( ~ r1(X29,X30)
| ! [X31] :
( p2(X31)
| ~ r1(X30,X31) )
| ~ p2(X30) ) )
| ! [X25] :
( ! [X26] :
( p2(X26)
| ~ r1(X25,X26)
| ~ ! [X27] :
( ~ p2(X27)
| ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| p2(X28) ) ) )
| ~ r1(X22,X25) ) )
& ( ~ ! [X23] :
( ~ r1(X22,X23)
| ! [X24] :
( ~ r1(X23,X24)
| p2(X24) )
| ~ p2(X23) )
| p2(X22) ) ) ) )
| ~ r1(X0,X11) )
| ( ( ! [X44] :
( ! [X45] :
( ~ r1(X44,X45)
| ~ ! [X46] :
( ~ p2(X46)
| ! [X47] :
( ~ r1(X46,X47)
| p2(X47) )
| ~ r1(X45,X46) )
| p2(X45) )
| ~ r1(X0,X44) )
| ~ ! [X41] :
( p2(X41)
| ~ ! [X42] :
( ~ r1(X41,X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ p2(X42) )
| ~ r1(X0,X41) ) )
& ( p2(X0)
| ~ ! [X48] :
( ! [X49] :
( ~ r1(X48,X49)
| p2(X49) )
| ~ r1(X0,X48)
| ~ p2(X48) ) ) ) )
& ( p1(X0)
| ! [X74] : ~ r1(X0,X74)
| ~ ! [X68] :
( p1(X68)
| ~ r1(X0,X68)
| ~ ! [X70] :
( ~ ( ! [X71] : ~ r1(X70,X71)
| p1(X70) )
| ! [X72] :
( ~ r1(X70,X72)
| p1(X72)
| ! [X73] : ~ r1(X72,X73) )
| ~ r1(X68,X70) )
| ! [X69] : ~ r1(X68,X69) ) )
& ( p2(X0)
| p4(X0)
| p1(X0)
| p3(X0)
| ! [X56] : ~ r1(X0,X56)
| ~ ! [X50] :
( p1(X50)
| p4(X50)
| p3(X50)
| ~ ! [X51] :
( ~ ( p4(X51)
| p3(X51)
| p2(X51)
| p1(X51)
| ! [X52] : ~ r1(X51,X52) )
| ! [X53] :
( ! [X54] : ~ r1(X53,X54)
| p2(X53)
| p3(X53)
| p4(X53)
| p1(X53)
| ~ r1(X51,X53) )
| ~ r1(X50,X51) )
| ~ r1(X0,X50)
| p2(X50)
| ! [X55] : ~ r1(X50,X55) ) )
& ! [X64] :
( ~ ! [X65] :
( ~ r1(X64,X65)
| ~ ! [X66] :
( ~ r1(X65,X66)
| ! [X67] :
( ~ r1(X66,X67)
| p2(X67) )
| ~ p2(X66) )
| p2(X65) )
| p2(X64)
| ~ r1(X0,X64) )
& ( p1(X0)
| ! [X57] : ~ r1(X0,X57)
| p2(X0)
| ~ ! [X58] :
( ~ ! [X60] :
( ~ r1(X58,X60)
| ~ ( p1(X60)
| p2(X60)
| ! [X63] : ~ r1(X60,X63) )
| ! [X61] :
( p1(X61)
| ~ r1(X60,X61)
| p2(X61)
| ! [X62] : ~ r1(X61,X62) ) )
| ! [X59] : ~ r1(X58,X59)
| p2(X58)
| p1(X58)
| ~ r1(X0,X58) ) ) )
| ~ ! [X1] :
( p3(X1)
| ~ ! [X2] :
( ! [X3] :
( p3(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2)
| ~ p3(X2) )
| ~ r1(X0,X1) )
| ! [X82] :
( ~ r1(X0,X82)
| p2(X82) ) ),
inference(true_and_false_elimination,[],[f3]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( p3(X1)
| ~ ! [X2] :
( ! [X3] :
( p3(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2)
| ~ p3(X2) )
| ~ r1(X0,X1) )
| ~ ( ( ! [X4] :
( ~ r1(X0,X4)
| $false )
| ~ ! [X5] :
( ~ ! [X6] :
( ~ ( p2(X6)
| p1(X6)
| ! [X7] :
( $false
| ~ r1(X6,X7) )
| p3(X6) )
| ! [X8] :
( p2(X8)
| p1(X8)
| p3(X8)
| ~ r1(X6,X8)
| ! [X9] :
( $false
| ~ r1(X8,X9) ) )
| ~ r1(X5,X6) )
| ~ r1(X0,X5)
| p3(X5)
| ! [X10] :
( ~ r1(X5,X10)
| $false )
| p2(X5)
| p1(X5) )
| p3(X0)
| p2(X0)
| p1(X0) )
& ( ~ ! [X11] :
( ( ( ~ ! [X18] :
( ~ ! [X19] :
( ~ p2(X19)
| ! [X20] :
( ~ r1(X19,X20)
| p2(X20) )
| ~ r1(X18,X19) )
| ~ r1(X11,X18)
| p2(X18) )
| ! [X14] :
( ! [X15] :
( p2(X15)
| ~ r1(X14,X15)
| ~ ! [X16] :
( ~ p2(X16)
| ~ r1(X15,X16)
| ! [X17] :
( p2(X17)
| ~ r1(X16,X17) ) ) )
| ~ r1(X11,X14) ) )
& ( ~ ! [X12] :
( ! [X13] :
( p2(X13)
| ~ r1(X12,X13) )
| ~ r1(X11,X12)
| ~ p2(X12) )
| p2(X11) ) )
| ~ ! [X21] :
( ~ r1(X11,X21)
| ~ ( ( ~ ! [X32] :
( ~ r1(X21,X32)
| ! [X33] :
( p2(X33)
| ~ r1(X32,X33) )
| ~ p2(X32) )
| p2(X21) )
& ( ! [X34] :
( ! [X35] :
( ~ ! [X36] :
( ~ r1(X35,X36)
| ! [X37] :
( p2(X37)
| ~ r1(X36,X37) )
| ~ p2(X36) )
| ~ r1(X34,X35)
| p2(X35) )
| ~ r1(X21,X34) )
| ~ ! [X38] :
( ~ ! [X39] :
( ~ p2(X39)
| ~ r1(X38,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) ) )
| p2(X38)
| ~ r1(X21,X38) ) ) )
| ! [X22] :
( ~ r1(X21,X22)
| ( ( ~ ! [X29] :
( p2(X29)
| ~ r1(X22,X29)
| ~ ! [X30] :
( ~ r1(X29,X30)
| ! [X31] :
( p2(X31)
| ~ r1(X30,X31) )
| ~ p2(X30) ) )
| ! [X25] :
( ! [X26] :
( p2(X26)
| ~ r1(X25,X26)
| ~ ! [X27] :
( ~ p2(X27)
| ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| p2(X28) ) ) )
| ~ r1(X22,X25) ) )
& ( ~ ! [X23] :
( ~ r1(X22,X23)
| ! [X24] :
( ~ r1(X23,X24)
| p2(X24) )
| ~ p2(X23) )
| p2(X22) ) ) ) )
| ~ r1(X0,X11) )
| ( ( ! [X44] :
( ! [X45] :
( ~ r1(X44,X45)
| ~ ! [X46] :
( ~ p2(X46)
| ! [X47] :
( ~ r1(X46,X47)
| p2(X47) )
| ~ r1(X45,X46) )
| p2(X45) )
| ~ r1(X0,X44) )
| ~ ! [X41] :
( p2(X41)
| ~ ! [X42] :
( ~ r1(X41,X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ p2(X42) )
| ~ r1(X0,X41) ) )
& ( p2(X0)
| ~ ! [X48] :
( ! [X49] :
( ~ r1(X48,X49)
| p2(X49) )
| ~ r1(X0,X48)
| ~ p2(X48) ) ) ) )
& ( ~ ! [X50] :
( p2(X50)
| p1(X50)
| p4(X50)
| ~ ! [X51] :
( ~ ( p2(X51)
| p3(X51)
| ! [X52] :
( $false
| ~ r1(X51,X52) )
| p4(X51)
| p1(X51) )
| ~ r1(X50,X51)
| ! [X53] :
( ~ r1(X51,X53)
| p1(X53)
| p2(X53)
| p4(X53)
| ! [X54] :
( $false
| ~ r1(X53,X54) )
| p3(X53) ) )
| ! [X55] :
( $false
| ~ r1(X50,X55) )
| p3(X50)
| ~ r1(X0,X50) )
| p2(X0)
| p1(X0)
| ! [X56] :
( $false
| ~ r1(X0,X56) )
| p3(X0)
| p4(X0) )
& ( p1(X0)
| ! [X57] :
( ~ r1(X0,X57)
| $false )
| ~ ! [X58] :
( p1(X58)
| ! [X59] :
( ~ r1(X58,X59)
| $false )
| p2(X58)
| ~ r1(X0,X58)
| ~ ! [X60] :
( ~ r1(X58,X60)
| ! [X61] :
( p1(X61)
| ~ r1(X60,X61)
| ! [X62] :
( ~ r1(X61,X62)
| $false )
| p2(X61) )
| ~ ( ! [X63] :
( $false
| ~ r1(X60,X63) )
| p1(X60)
| p2(X60) ) ) )
| p2(X0) )
& ! [X64] :
( ~ ! [X65] :
( ~ r1(X64,X65)
| ~ ! [X66] :
( ~ r1(X65,X66)
| ! [X67] :
( ~ r1(X66,X67)
| p2(X67) )
| ~ p2(X66) )
| p2(X65) )
| p2(X64)
| ~ r1(X0,X64) )
& ( ~ ! [X68] :
( ~ r1(X0,X68)
| ! [X69] :
( ~ r1(X68,X69)
| $false )
| p1(X68)
| ~ ! [X70] :
( ~ ( p1(X70)
| ! [X71] :
( $false
| ~ r1(X70,X71) ) )
| ~ r1(X68,X70)
| ! [X72] :
( ~ r1(X70,X72)
| p1(X72)
| ! [X73] :
( ~ r1(X72,X73)
| $false ) ) ) )
| ! [X74] :
( ~ r1(X0,X74)
| $false )
| p1(X0) ) )
| ~ ! [X75] :
( ~ ! [X76] :
( ~ r1(X75,X76)
| ~ p2(X76)
| ! [X77] :
( ~ r1(X76,X77)
| p2(X77) ) )
| ~ r1(X0,X75)
| p2(X75) )
| ~ ! [X78] :
( p1(X78)
| ~ r1(X0,X78)
| ~ ! [X79] :
( ~ r1(X78,X79)
| ! [X80] :
( ~ r1(X79,X80)
| p1(X80) )
| ~ p1(X79) ) )
| ! [X81] :
( p1(X81)
| ~ r1(X0,X81) )
| ! [X82] :
( ~ r1(X0,X82)
| p2(X82) )
| ! [X83] :
( p3(X83)
| ~ r1(X0,X83) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| ~ ! [X0] :
( ~ p3(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ r1(X1,X0) ) )
| ~ ( ( ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ ( p2(X0)
| p1(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p3(X0) )
| ! [X1] :
( p2(X1)
| p1(X1)
| p3(X1)
| ~ r1(X0,X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| p3(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| p2(X1)
| p1(X1) )
| p3(X0)
| p2(X0)
| p1(X0) )
& ( ~ ! [X1] :
( ~ r1(X0,X1)
| ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) ) )
| p2(X1) )
& ( ! [X0] :
( ! [X1] :
( p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ p2(X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( p2(X0)
| ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ( ( ~ ! [X0] :
( ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ p2(X0)
| ~ r1(X1,X0) )
| p2(X1) )
& ( ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) ) )
| ~ r1(X0,X1)
| p2(X1) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( p2(X0)
| ~ r1(X1,X0)
| ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ r1(X0,X1)
| ~ p2(X1) ) ) ) )
| ~ r1(X0,X1) )
| ~ ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ p2(X1) )
| p2(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ ! [X1] :
( ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| p2(X0) ) )
| ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) ) ) ) ) ) )
| ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ r1(X1,X0)
| ~ p2(X0) )
| p2(X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ p2(X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
& ( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) ) )
| p2(X0) ) ) )
& ( ~ ! [X1] :
( p2(X1)
| p1(X1)
| p4(X1)
| ~ ! [X0] :
( ~ ( p2(X0)
| p3(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p4(X0)
| p1(X0) )
| ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| p2(X1)
| p4(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p3(X1) ) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p3(X1)
| ~ r1(X0,X1) )
| p2(X0)
| p1(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p3(X0)
| p4(X0) )
& ( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| p2(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| p2(X1) )
| ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) ) ) )
| p2(X0) )
& ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) ) )
& ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| p1(X1)
| ~ ! [X0] :
( ~ ( p1(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| p1(X0) ) )
| ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0)
| ~ r1(X1,X0) ) )
| ~ ! [X1] :
( p1(X1)
| ~ ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| ~ p1(X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| ~ ! [X0] :
( ~ p3(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ r1(X1,X0) ) )
| ~ ( ( ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ ( p2(X0)
| p1(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p3(X0) )
| ! [X1] :
( p2(X1)
| p1(X1)
| p3(X1)
| ~ r1(X0,X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| p3(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| p2(X1)
| p1(X1) )
| p3(X0)
| p2(X0)
| p1(X0) )
& ( ~ ! [X1] :
( ~ r1(X0,X1)
| ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) ) )
| p2(X1) )
& ( ! [X0] :
( ! [X1] :
( p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ p2(X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( p2(X0)
| ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ( ( ~ ! [X0] :
( ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ p2(X0)
| ~ r1(X1,X0) )
| p2(X1) )
& ( ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) ) )
| ~ r1(X0,X1)
| p2(X1) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( p2(X0)
| ~ r1(X1,X0)
| ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ r1(X0,X1)
| ~ p2(X1) ) ) ) )
| ~ r1(X0,X1) )
| ~ ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ p2(X1) )
| p2(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ ! [X1] :
( ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| p2(X0) ) )
| ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) ) ) ) ) ) )
| ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ r1(X1,X0)
| ~ p2(X0) )
| p2(X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ p2(X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
& ( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) ) )
| p2(X0) ) ) )
& ( ~ ! [X1] :
( p2(X1)
| p1(X1)
| p4(X1)
| ~ ! [X0] :
( ~ ( p2(X0)
| p3(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p4(X0)
| p1(X0) )
| ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| p2(X1)
| p4(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p3(X1) ) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p3(X1)
| ~ r1(X0,X1) )
| p2(X0)
| p1(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p3(X0)
| p4(X0) )
& ( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| p2(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| p2(X1) )
| ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) ) ) )
| p2(X0) )
& ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) ) )
& ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| p1(X1)
| ~ ! [X0] :
( ~ ( p1(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| p1(X0) ) )
| ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0)
| ~ r1(X1,X0) ) )
| ~ ! [X1] :
( p1(X1)
| ~ ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| ~ p1(X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f1103,plain,
( p2(sK40(sK45))
| ~ spl50_132 ),
inference(avatar_component_clause,[],[f1101]) ).
fof(f1089,plain,
( spl50_70
| spl50_24
| ~ spl50_31 ),
inference(avatar_split_clause,[],[f1088,f321,f289,f575]) ).
fof(f1088,plain,
( r1(sK45,sK39(sK45))
| spl50_24
| ~ spl50_31 ),
inference(subsumption_resolution,[],[f725,f291]) ).
fof(f725,plain,
( p2(sK45)
| r1(sK45,sK39(sK45))
| ~ spl50_31 ),
inference(resolution,[],[f323,f156]) ).
fof(f156,plain,
! [X21] :
( ~ r1(sK28,X21)
| r1(X21,sK39(X21))
| p2(X21) ),
inference(cnf_transformation,[],[f84]) ).
fof(f1087,plain,
~ spl50_112,
inference(avatar_contradiction_clause,[],[f1086]) ).
fof(f1086,plain,
( $false
| ~ spl50_112 ),
inference(subsumption_resolution,[],[f1085,f148]) ).
fof(f148,plain,
~ p2(sK44),
inference(cnf_transformation,[],[f84]) ).
fof(f1085,plain,
( p2(sK44)
| ~ spl50_112 ),
inference(subsumption_resolution,[],[f1084,f147]) ).
fof(f147,plain,
r1(sK28,sK44),
inference(cnf_transformation,[],[f84]) ).
fof(f1084,plain,
( ~ r1(sK28,sK44)
| p2(sK44)
| ~ spl50_112 ),
inference(resolution,[],[f867,f154]) ).
fof(f154,plain,
! [X24] :
( ~ p2(sK41(X24))
| ~ r1(sK28,X24)
| p2(X24) ),
inference(cnf_transformation,[],[f84]) ).
fof(f867,plain,
( p2(sK41(sK44))
| ~ spl50_112 ),
inference(avatar_component_clause,[],[f865]) ).
fof(f865,plain,
( spl50_112
<=> p2(sK41(sK44)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_112])]) ).
fof(f1057,plain,
( ~ spl50_25
| ~ spl50_78
| ~ spl50_107
| spl50_108 ),
inference(avatar_contradiction_clause,[],[f1056]) ).
fof(f1056,plain,
( $false
| ~ spl50_25
| ~ spl50_78
| ~ spl50_107
| spl50_108 ),
inference(subsumption_resolution,[],[f1055,f295]) ).
fof(f295,plain,
( sP4(sK45)
| ~ spl50_25 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f293,plain,
( spl50_25
<=> sP4(sK45) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_25])]) ).
fof(f1055,plain,
( ~ sP4(sK45)
| ~ spl50_25
| ~ spl50_78
| ~ spl50_107
| spl50_108 ),
inference(resolution,[],[f1054,f101]) ).
fof(f101,plain,
! [X0] :
( r1(sK16(X0),sK17(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ( ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ( r1(sK14(X1),sK15(X1))
& ~ p2(sK15(X1))
& p2(sK14(X1))
& r1(X1,sK14(X1)) ) )
& r1(X0,sK16(X0))
& ! [X6] :
( ~ p2(X6)
| ~ r1(sK17(X0),X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) ) )
& ~ p2(sK17(X0))
& r1(sK16(X0),sK17(X0)) )
| ~ sP4(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17])],[f33,f37,f36,f35,f34]) ).
fof(f34,plain,
! [X1] :
( ? [X2] :
( ? [X3] :
( r1(X2,X3)
& ~ p2(X3) )
& p2(X2)
& r1(X1,X2) )
=> ( ? [X3] :
( r1(sK14(X1),X3)
& ~ p2(X3) )
& p2(sK14(X1))
& r1(X1,sK14(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X1] :
( ? [X3] :
( r1(sK14(X1),X3)
& ~ p2(X3) )
=> ( r1(sK14(X1),sK15(X1))
& ~ p2(sK15(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
! [X0] :
( ? [X4] :
( r1(X0,X4)
& ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ~ r1(X5,X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) ) )
& ~ p2(X5)
& r1(X4,X5) ) )
=> ( r1(X0,sK16(X0))
& ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ~ r1(X5,X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) ) )
& ~ p2(X5)
& r1(sK16(X0),X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X0] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ~ r1(X5,X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) ) )
& ~ p2(X5)
& r1(sK16(X0),X5) )
=> ( ! [X6] :
( ~ p2(X6)
| ~ r1(sK17(X0),X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) ) )
& ~ p2(sK17(X0))
& r1(sK16(X0),sK17(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
! [X0] :
( ( ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ? [X2] :
( ? [X3] :
( r1(X2,X3)
& ~ p2(X3) )
& p2(X2)
& r1(X1,X2) ) )
& ? [X4] :
( r1(X0,X4)
& ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ~ r1(X5,X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) ) )
& ~ p2(X5)
& r1(X4,X5) ) ) )
| ~ sP4(X0) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X11] :
( ( ! [X18] :
( ~ r1(X11,X18)
| p2(X18)
| ? [X19] :
( ? [X20] :
( r1(X19,X20)
& ~ p2(X20) )
& p2(X19)
& r1(X18,X19) ) )
& ? [X14] :
( r1(X11,X14)
& ? [X15] :
( ! [X16] :
( ~ p2(X16)
| ~ r1(X15,X16)
| ! [X17] :
( p2(X17)
| ~ r1(X16,X17) ) )
& ~ p2(X15)
& r1(X14,X15) ) ) )
| ~ sP4(X11) ),
inference(nnf_transformation,[],[f12]) ).
fof(f1054,plain,
( ~ r1(sK16(sK45),sK17(sK45))
| ~ spl50_25
| ~ spl50_78
| ~ spl50_107
| spl50_108 ),
inference(resolution,[],[f1053,f619]) ).
fof(f619,plain,
( sP2(sK16(sK45))
| ~ spl50_78 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f617,plain,
( spl50_78
<=> sP2(sK16(sK45)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_78])]) ).
fof(f1053,plain,
( ! [X0] :
( ~ sP2(X0)
| ~ r1(X0,sK17(sK45)) )
| ~ spl50_25
| ~ spl50_78
| ~ spl50_107
| spl50_108 ),
inference(subsumption_resolution,[],[f1052,f813]) ).
fof(f813,plain,
( ~ p2(sK17(sK45))
| spl50_108 ),
inference(avatar_component_clause,[],[f812]) ).
fof(f812,plain,
( spl50_108
<=> p2(sK17(sK45)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_108])]) ).
fof(f1052,plain,
( ! [X0] :
( p2(sK17(sK45))
| ~ sP2(X0)
| ~ r1(X0,sK17(sK45)) )
| ~ spl50_25
| ~ spl50_78
| ~ spl50_107
| spl50_108 ),
inference(resolution,[],[f1050,f118]) ).
fof(f118,plain,
! [X0,X5] :
( ~ p2(sK24(X5))
| ~ r1(X0,X5)
| ~ sP2(X0)
| p2(X5) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ( r1(X0,sK21(X0))
& ~ p2(sK22(X0))
& ! [X3] :
( ~ r1(sK22(X0),X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ p2(X3) )
& r1(sK21(X0),sK22(X0))
& ! [X5] :
( ~ r1(X0,X5)
| ( r1(sK23(X5),sK24(X5))
& ~ p2(sK24(X5))
& p2(sK23(X5))
& r1(X5,sK23(X5)) )
| p2(X5) ) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22,sK23,sK24])],[f46,f50,f49,f48,f47]) ).
fof(f47,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ? [X2] :
( ~ p2(X2)
& ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ p2(X3) )
& r1(X1,X2) ) )
=> ( r1(X0,sK21(X0))
& ? [X2] :
( ~ p2(X2)
& ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ p2(X3) )
& r1(sK21(X0),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0] :
( ? [X2] :
( ~ p2(X2)
& ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ p2(X3) )
& r1(sK21(X0),X2) )
=> ( ~ p2(sK22(X0))
& ! [X3] :
( ~ r1(sK22(X0),X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ p2(X3) )
& r1(sK21(X0),sK22(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X5] :
( ? [X6] :
( ? [X7] :
( r1(X6,X7)
& ~ p2(X7) )
& p2(X6)
& r1(X5,X6) )
=> ( ? [X7] :
( r1(sK23(X5),X7)
& ~ p2(X7) )
& p2(sK23(X5))
& r1(X5,sK23(X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X5] :
( ? [X7] :
( r1(sK23(X5),X7)
& ~ p2(X7) )
=> ( r1(sK23(X5),sK24(X5))
& ~ p2(sK24(X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
! [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ? [X2] :
( ~ p2(X2)
& ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ p2(X3) )
& r1(X1,X2) ) )
& ! [X5] :
( ~ r1(X0,X5)
| ? [X6] :
( ? [X7] :
( r1(X6,X7)
& ~ p2(X7) )
& p2(X6)
& r1(X5,X6) )
| p2(X5) ) )
| ~ sP2(X0) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
! [X21] :
( ( ? [X34] :
( r1(X21,X34)
& ? [X35] :
( ~ p2(X35)
& ! [X36] :
( ~ r1(X35,X36)
| ! [X37] :
( p2(X37)
| ~ r1(X36,X37) )
| ~ p2(X36) )
& r1(X34,X35) ) )
& ! [X38] :
( ~ r1(X21,X38)
| ? [X39] :
( ? [X40] :
( r1(X39,X40)
& ~ p2(X40) )
& p2(X39)
& r1(X38,X39) )
| p2(X38) ) )
| ~ sP2(X21) ),
inference(nnf_transformation,[],[f10]) ).
fof(f1050,plain,
( p2(sK24(sK17(sK45)))
| ~ spl50_25
| ~ spl50_78
| ~ spl50_107
| spl50_108 ),
inference(resolution,[],[f1049,f1047]) ).
fof(f1047,plain,
( r1(sK23(sK17(sK45)),sK24(sK17(sK45)))
| ~ spl50_25
| ~ spl50_78
| spl50_108 ),
inference(subsumption_resolution,[],[f1046,f295]) ).
fof(f1046,plain,
( r1(sK23(sK17(sK45)),sK24(sK17(sK45)))
| ~ sP4(sK45)
| ~ spl50_78
| spl50_108 ),
inference(subsumption_resolution,[],[f1043,f813]) ).
fof(f1043,plain,
( p2(sK17(sK45))
| ~ sP4(sK45)
| r1(sK23(sK17(sK45)),sK24(sK17(sK45)))
| ~ spl50_78 ),
inference(resolution,[],[f1031,f101]) ).
fof(f1031,plain,
( ! [X2] :
( ~ r1(sK16(sK45),X2)
| r1(sK23(X2),sK24(X2))
| p2(X2) )
| ~ spl50_78 ),
inference(resolution,[],[f619,f119]) ).
fof(f119,plain,
! [X0,X5] :
( ~ sP2(X0)
| r1(sK23(X5),sK24(X5))
| ~ r1(X0,X5)
| p2(X5) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1049,plain,
( ! [X0] :
( ~ r1(sK23(sK17(sK45)),X0)
| p2(X0) )
| ~ spl50_25
| ~ spl50_78
| ~ spl50_107
| spl50_108 ),
inference(subsumption_resolution,[],[f1048,f810]) ).
fof(f810,plain,
( p2(sK23(sK17(sK45)))
| ~ spl50_107 ),
inference(avatar_component_clause,[],[f808]) ).
fof(f808,plain,
( spl50_107
<=> p2(sK23(sK17(sK45))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_107])]) ).
fof(f1048,plain,
( ! [X0] :
( ~ p2(sK23(sK17(sK45)))
| p2(X0)
| ~ r1(sK23(sK17(sK45)),X0) )
| ~ spl50_25
| ~ spl50_78
| spl50_108 ),
inference(resolution,[],[f1042,f943]) ).
fof(f943,plain,
( ! [X0,X1] :
( ~ r1(sK17(sK45),X1)
| ~ p2(X1)
| p2(X0)
| ~ r1(X1,X0) )
| ~ spl50_25 ),
inference(resolution,[],[f295,f103]) ).
fof(f103,plain,
! [X0,X6,X7] :
( ~ sP4(X0)
| p2(X7)
| ~ p2(X6)
| ~ r1(sK17(X0),X6)
| ~ r1(X6,X7) ),
inference(cnf_transformation,[],[f38]) ).
fof(f1042,plain,
( r1(sK17(sK45),sK23(sK17(sK45)))
| ~ spl50_25
| ~ spl50_78
| spl50_108 ),
inference(subsumption_resolution,[],[f1041,f295]) ).
fof(f1041,plain,
( r1(sK17(sK45),sK23(sK17(sK45)))
| ~ sP4(sK45)
| ~ spl50_78
| spl50_108 ),
inference(subsumption_resolution,[],[f1038,f813]) ).
fof(f1038,plain,
( p2(sK17(sK45))
| r1(sK17(sK45),sK23(sK17(sK45)))
| ~ sP4(sK45)
| ~ spl50_78 ),
inference(resolution,[],[f1032,f101]) ).
fof(f1032,plain,
( ! [X3] :
( ~ r1(sK16(sK45),X3)
| p2(X3)
| r1(X3,sK23(X3)) )
| ~ spl50_78 ),
inference(resolution,[],[f619,f116]) ).
fof(f116,plain,
! [X0,X5] :
( ~ sP2(X0)
| r1(X5,sK23(X5))
| ~ r1(X0,X5)
| p2(X5) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1029,plain,
( spl50_78
| spl50_79
| spl50_81
| ~ spl50_25
| ~ spl50_27 ),
inference(avatar_split_clause,[],[f949,f303,f293,f631,f621,f617]) ).
fof(f621,plain,
( spl50_79
<=> sP3(sK16(sK45)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_79])]) ).
fof(f631,plain,
( spl50_81
<=> ! [X0,X1] :
( ~ p2(X0)
| ~ r1(sK16(sK45),X0)
| ~ r1(X0,X1)
| p2(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_81])]) ).
fof(f303,plain,
( spl50_27
<=> ! [X34,X36,X35] :
( ~ r1(sK45,X34)
| p2(X36)
| ~ r1(X35,X36)
| ~ r1(X34,X35)
| sP3(X34)
| ~ p2(X35)
| sP2(X34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_27])]) ).
fof(f949,plain,
( ! [X2,X1] :
( ~ r1(X1,X2)
| ~ p2(X1)
| sP3(sK16(sK45))
| p2(X2)
| sP2(sK16(sK45))
| ~ r1(sK16(sK45),X1) )
| ~ spl50_25
| ~ spl50_27 ),
inference(resolution,[],[f947,f304]) ).
fof(f304,plain,
( ! [X36,X34,X35] :
( ~ r1(sK45,X34)
| sP2(X34)
| ~ p2(X35)
| ~ r1(X34,X35)
| sP3(X34)
| ~ r1(X35,X36)
| p2(X36) )
| ~ spl50_27 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f947,plain,
( r1(sK45,sK16(sK45))
| ~ spl50_25 ),
inference(resolution,[],[f295,f104]) ).
fof(f104,plain,
! [X0] :
( ~ sP4(X0)
| r1(X0,sK16(X0)) ),
inference(cnf_transformation,[],[f38]) ).
fof(f1028,plain,
( ~ spl50_25
| ~ spl50_108 ),
inference(avatar_contradiction_clause,[],[f1027]) ).
fof(f1027,plain,
( $false
| ~ spl50_25
| ~ spl50_108 ),
inference(subsumption_resolution,[],[f1026,f295]) ).
fof(f1026,plain,
( ~ sP4(sK45)
| ~ spl50_108 ),
inference(resolution,[],[f814,f102]) ).
fof(f102,plain,
! [X0] :
( ~ p2(sK17(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f814,plain,
( p2(sK17(sK45))
| ~ spl50_108 ),
inference(avatar_component_clause,[],[f812]) ).
fof(f1025,plain,
( ~ spl50_25
| ~ spl50_79
| ~ spl50_127 ),
inference(avatar_contradiction_clause,[],[f1024]) ).
fof(f1024,plain,
( $false
| ~ spl50_25
| ~ spl50_79
| ~ spl50_127 ),
inference(subsumption_resolution,[],[f1023,f295]) ).
fof(f1023,plain,
( ~ sP4(sK45)
| ~ spl50_79
| ~ spl50_127 ),
inference(resolution,[],[f1022,f101]) ).
fof(f1022,plain,
( ~ r1(sK16(sK45),sK17(sK45))
| ~ spl50_79
| ~ spl50_127 ),
inference(resolution,[],[f1019,f623]) ).
fof(f623,plain,
( sP3(sK16(sK45))
| ~ spl50_79 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f1019,plain,
( ! [X0] :
( ~ sP3(X0)
| ~ r1(X0,sK17(sK45)) )
| ~ spl50_127 ),
inference(avatar_component_clause,[],[f1018]) ).
fof(f1018,plain,
( spl50_127
<=> ! [X0] :
( ~ r1(X0,sK17(sK45))
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_127])]) ).
fof(f1020,plain,
( spl50_127
| spl50_108
| ~ spl50_25
| ~ spl50_109
| ~ spl50_119
| ~ spl50_124 ),
inference(avatar_split_clause,[],[f1016,f1000,f968,f825,f293,f812,f1018]) ).
fof(f825,plain,
( spl50_109
<=> p2(sK18(sK17(sK45))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_109])]) ).
fof(f968,plain,
( spl50_119
<=> r1(sK17(sK45),sK18(sK17(sK45))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_119])]) ).
fof(f1000,plain,
( spl50_124
<=> r1(sK18(sK17(sK45)),sK19(sK17(sK45))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_124])]) ).
fof(f1016,plain,
( ! [X0] :
( p2(sK17(sK45))
| ~ r1(X0,sK17(sK45))
| ~ sP3(X0) )
| ~ spl50_25
| ~ spl50_109
| ~ spl50_119
| ~ spl50_124 ),
inference(resolution,[],[f1015,f114]) ).
fof(f114,plain,
! [X0,X1] :
( ~ p2(sK19(X1))
| ~ r1(X0,X1)
| ~ sP3(X0)
| p2(X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ( ( r1(sK18(X1),sK19(X1))
& ~ p2(sK19(X1))
& p2(sK18(X1))
& r1(X1,sK18(X1)) )
| p2(X1) )
& ( sP1(X1)
| ( r1(X1,sK20(X1))
& ! [X5] :
( ~ r1(sK20(X1),X5)
| ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ p2(X5) )
& ~ p2(sK20(X1)) ) ) ) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20])],[f40,f43,f42,f41]) ).
fof(f41,plain,
! [X1] :
( ? [X2] :
( ? [X3] :
( r1(X2,X3)
& ~ p2(X3) )
& p2(X2)
& r1(X1,X2) )
=> ( ? [X3] :
( r1(sK18(X1),X3)
& ~ p2(X3) )
& p2(sK18(X1))
& r1(X1,sK18(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X1] :
( ? [X3] :
( r1(sK18(X1),X3)
& ~ p2(X3) )
=> ( r1(sK18(X1),sK19(X1))
& ~ p2(sK19(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X1] :
( ? [X4] :
( r1(X1,X4)
& ! [X5] :
( ~ r1(X4,X5)
| ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ p2(X5) )
& ~ p2(X4) )
=> ( r1(X1,sK20(X1))
& ! [X5] :
( ~ r1(sK20(X1),X5)
| ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ p2(X5) )
& ~ p2(sK20(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ( ? [X2] :
( ? [X3] :
( r1(X2,X3)
& ~ p2(X3) )
& p2(X2)
& r1(X1,X2) )
| p2(X1) )
& ( sP1(X1)
| ? [X4] :
( r1(X1,X4)
& ! [X5] :
( ~ r1(X4,X5)
| ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ p2(X5) )
& ~ p2(X4) ) ) ) )
| ~ sP3(X0) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
! [X21] :
( ! [X22] :
( ~ r1(X21,X22)
| ( ( ? [X23] :
( ? [X24] :
( r1(X23,X24)
& ~ p2(X24) )
& p2(X23)
& r1(X22,X23) )
| p2(X22) )
& ( sP1(X22)
| ? [X29] :
( r1(X22,X29)
& ! [X30] :
( ~ r1(X29,X30)
| ! [X31] :
( p2(X31)
| ~ r1(X30,X31) )
| ~ p2(X30) )
& ~ p2(X29) ) ) ) )
| ~ sP3(X21) ),
inference(nnf_transformation,[],[f11]) ).
fof(f1015,plain,
( p2(sK19(sK17(sK45)))
| ~ spl50_25
| ~ spl50_109
| ~ spl50_119
| ~ spl50_124 ),
inference(resolution,[],[f1005,f1002]) ).
fof(f1002,plain,
( r1(sK18(sK17(sK45)),sK19(sK17(sK45)))
| ~ spl50_124 ),
inference(avatar_component_clause,[],[f1000]) ).
fof(f1005,plain,
( ! [X0] :
( ~ r1(sK18(sK17(sK45)),X0)
| p2(X0) )
| ~ spl50_25
| ~ spl50_109
| ~ spl50_119 ),
inference(subsumption_resolution,[],[f1004,f827]) ).
fof(f827,plain,
( p2(sK18(sK17(sK45)))
| ~ spl50_109 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f1004,plain,
( ! [X0] :
( ~ p2(sK18(sK17(sK45)))
| p2(X0)
| ~ r1(sK18(sK17(sK45)),X0) )
| ~ spl50_25
| ~ spl50_119 ),
inference(resolution,[],[f970,f943]) ).
fof(f970,plain,
( r1(sK17(sK45),sK18(sK17(sK45)))
| ~ spl50_119 ),
inference(avatar_component_clause,[],[f968]) ).
fof(f1003,plain,
( spl50_108
| spl50_124
| ~ spl50_25
| ~ spl50_79 ),
inference(avatar_split_clause,[],[f998,f621,f293,f1000,f812]) ).
fof(f998,plain,
( r1(sK18(sK17(sK45)),sK19(sK17(sK45)))
| p2(sK17(sK45))
| ~ spl50_25
| ~ spl50_79 ),
inference(subsumption_resolution,[],[f996,f295]) ).
fof(f996,plain,
( p2(sK17(sK45))
| ~ sP4(sK45)
| r1(sK18(sK17(sK45)),sK19(sK17(sK45)))
| ~ spl50_79 ),
inference(resolution,[],[f952,f101]) ).
fof(f952,plain,
( ! [X3] :
( ~ r1(sK16(sK45),X3)
| p2(X3)
| r1(sK18(X3),sK19(X3)) )
| ~ spl50_79 ),
inference(resolution,[],[f623,f115]) ).
fof(f115,plain,
! [X0,X1] :
( ~ sP3(X0)
| p2(X1)
| r1(sK18(X1),sK19(X1))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f971,plain,
( spl50_108
| spl50_119
| ~ spl50_25
| ~ spl50_79 ),
inference(avatar_split_clause,[],[f966,f621,f293,f968,f812]) ).
fof(f966,plain,
( r1(sK17(sK45),sK18(sK17(sK45)))
| p2(sK17(sK45))
| ~ spl50_25
| ~ spl50_79 ),
inference(subsumption_resolution,[],[f964,f295]) ).
fof(f964,plain,
( r1(sK17(sK45),sK18(sK17(sK45)))
| p2(sK17(sK45))
| ~ sP4(sK45)
| ~ spl50_79 ),
inference(resolution,[],[f953,f101]) ).
fof(f953,plain,
( ! [X4] :
( ~ r1(sK16(sK45),X4)
| r1(X4,sK18(X4))
| p2(X4) )
| ~ spl50_79 ),
inference(resolution,[],[f623,f112]) ).
fof(f112,plain,
! [X0,X1] :
( ~ sP3(X0)
| r1(X1,sK18(X1))
| p2(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f942,plain,
( ~ spl50_10
| spl50_64
| ~ spl50_87 ),
inference(avatar_contradiction_clause,[],[f941]) ).
fof(f941,plain,
( $false
| ~ spl50_10
| spl50_64
| ~ spl50_87 ),
inference(subsumption_resolution,[],[f940,f225]) ).
fof(f225,plain,
( sP6(sK28)
| ~ spl50_10 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f223,plain,
( spl50_10
<=> sP6(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_10])]) ).
fof(f940,plain,
( ~ sP6(sK28)
| spl50_64
| ~ spl50_87 ),
inference(subsumption_resolution,[],[f939,f537]) ).
fof(f537,plain,
( ~ sP5(sK28)
| spl50_64 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f536,plain,
( spl50_64
<=> sP5(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_64])]) ).
fof(f939,plain,
( sP5(sK28)
| ~ sP6(sK28)
| ~ spl50_87 ),
inference(resolution,[],[f675,f95]) ).
fof(f95,plain,
! [X0] :
( ~ p2(sK9(X0))
| sP5(X0)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] :
( ( ( ( ! [X2] :
( ~ r1(sK9(X0),X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ p2(X2) )
& ~ p2(sK9(X0))
& r1(X0,sK9(X0)) )
| sP5(X0) )
& ( p2(X0)
| ( ~ p2(sK11(X0))
& r1(sK10(X0),sK11(X0))
& r1(X0,sK10(X0))
& p2(sK10(X0)) ) ) )
| ~ sP6(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f22,f25,f24,f23]) ).
fof(f23,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ p2(X2) )
& ~ p2(X1)
& r1(X0,X1) )
=> ( ! [X2] :
( ~ r1(sK9(X0),X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ p2(X2) )
& ~ p2(sK9(X0))
& r1(X0,sK9(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ p2(X5)
& r1(X4,X5) )
& r1(X0,X4)
& p2(X4) )
=> ( ? [X5] :
( ~ p2(X5)
& r1(sK10(X0),X5) )
& r1(X0,sK10(X0))
& p2(sK10(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X0] :
( ? [X5] :
( ~ p2(X5)
& r1(sK10(X0),X5) )
=> ( ~ p2(sK11(X0))
& r1(sK10(X0),sK11(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
! [X0] :
( ( ( ? [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ p2(X2) )
& ~ p2(X1)
& r1(X0,X1) )
| sP5(X0) )
& ( p2(X0)
| ? [X4] :
( ? [X5] :
( ~ p2(X5)
& r1(X4,X5) )
& r1(X0,X4)
& p2(X4) ) ) )
| ~ sP6(X0) ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
! [X0] :
( ( ( ? [X41] :
( ! [X42] :
( ~ r1(X41,X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ p2(X42) )
& ~ p2(X41)
& r1(X0,X41) )
| sP5(X0) )
& ( p2(X0)
| ? [X48] :
( ? [X49] :
( ~ p2(X49)
& r1(X48,X49) )
& r1(X0,X48)
& p2(X48) ) ) )
| ~ sP6(X0) ),
inference(nnf_transformation,[],[f14]) ).
fof(f675,plain,
( p2(sK9(sK28))
| ~ spl50_87 ),
inference(avatar_component_clause,[],[f673]) ).
fof(f673,plain,
( spl50_87
<=> p2(sK9(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_87])]) ).
fof(f938,plain,
( spl50_87
| ~ spl50_10
| spl50_64
| ~ spl50_65
| ~ spl50_86
| ~ spl50_94
| ~ spl50_96 ),
inference(avatar_split_clause,[],[f937,f717,f707,f669,f540,f536,f223,f673]) ).
fof(f540,plain,
( spl50_65
<=> r1(sK28,sK9(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_65])]) ).
fof(f669,plain,
( spl50_86
<=> r1(sK39(sK9(sK28)),sK40(sK9(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_86])]) ).
fof(f707,plain,
( spl50_94
<=> p2(sK39(sK9(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_94])]) ).
fof(f717,plain,
( spl50_96
<=> r1(sK9(sK28),sK39(sK9(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_96])]) ).
fof(f937,plain,
( p2(sK9(sK28))
| ~ spl50_10
| spl50_64
| ~ spl50_65
| ~ spl50_86
| ~ spl50_94
| ~ spl50_96 ),
inference(subsumption_resolution,[],[f936,f542]) ).
fof(f542,plain,
( r1(sK28,sK9(sK28))
| ~ spl50_65 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f936,plain,
( ~ r1(sK28,sK9(sK28))
| p2(sK9(sK28))
| ~ spl50_10
| spl50_64
| ~ spl50_86
| ~ spl50_94
| ~ spl50_96 ),
inference(resolution,[],[f935,f159]) ).
fof(f935,plain,
( p2(sK40(sK9(sK28)))
| ~ spl50_10
| spl50_64
| ~ spl50_86
| ~ spl50_94
| ~ spl50_96 ),
inference(resolution,[],[f934,f671]) ).
fof(f671,plain,
( r1(sK39(sK9(sK28)),sK40(sK9(sK28)))
| ~ spl50_86 ),
inference(avatar_component_clause,[],[f669]) ).
fof(f934,plain,
( ! [X0] :
( ~ r1(sK39(sK9(sK28)),X0)
| p2(X0) )
| ~ spl50_10
| spl50_64
| ~ spl50_94
| ~ spl50_96 ),
inference(subsumption_resolution,[],[f933,f709]) ).
fof(f709,plain,
( p2(sK39(sK9(sK28)))
| ~ spl50_94 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f933,plain,
( ! [X0] :
( ~ p2(sK39(sK9(sK28)))
| p2(X0)
| ~ r1(sK39(sK9(sK28)),X0) )
| ~ spl50_10
| spl50_64
| ~ spl50_96 ),
inference(resolution,[],[f719,f913]) ).
fof(f913,plain,
( ! [X0,X1] :
( ~ r1(sK9(sK28),X0)
| ~ p2(X0)
| ~ r1(X0,X1)
| p2(X1) )
| ~ spl50_10
| spl50_64 ),
inference(subsumption_resolution,[],[f841,f537]) ).
fof(f841,plain,
( ! [X0,X1] :
( sP5(sK28)
| ~ p2(X0)
| ~ r1(sK9(sK28),X0)
| ~ r1(X0,X1)
| p2(X1) )
| ~ spl50_10 ),
inference(resolution,[],[f225,f96]) ).
fof(f96,plain,
! [X2,X3,X0] :
( ~ sP6(X0)
| ~ r1(X2,X3)
| ~ p2(X2)
| p2(X3)
| sP5(X0)
| ~ r1(sK9(X0),X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f719,plain,
( r1(sK9(sK28),sK39(sK9(sK28)))
| ~ spl50_96 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f912,plain,
( ~ spl50_64
| ~ spl50_116 ),
inference(avatar_contradiction_clause,[],[f911]) ).
fof(f911,plain,
( $false
| ~ spl50_64
| ~ spl50_116 ),
inference(subsumption_resolution,[],[f910,f147]) ).
fof(f910,plain,
( ~ r1(sK28,sK44)
| ~ spl50_64
| ~ spl50_116 ),
inference(resolution,[],[f909,f430]) ).
fof(f430,plain,
r1(sK44,sK41(sK44)),
inference(subsumption_resolution,[],[f427,f148]) ).
fof(f427,plain,
( p2(sK44)
| r1(sK44,sK41(sK44)) ),
inference(resolution,[],[f153,f147]) ).
fof(f153,plain,
! [X24] :
( ~ r1(sK28,X24)
| p2(X24)
| r1(X24,sK41(X24)) ),
inference(cnf_transformation,[],[f84]) ).
fof(f909,plain,
( ! [X0] :
( ~ r1(X0,sK41(sK44))
| ~ r1(sK28,X0) )
| ~ spl50_64
| ~ spl50_116 ),
inference(resolution,[],[f907,f538]) ).
fof(f538,plain,
( sP5(sK28)
| ~ spl50_64 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f907,plain,
( ! [X0,X1] :
( ~ sP5(X0)
| ~ r1(X0,X1)
| ~ r1(X1,sK41(sK44)) )
| ~ spl50_116 ),
inference(avatar_component_clause,[],[f906]) ).
fof(f906,plain,
( spl50_116
<=> ! [X0,X1] :
( ~ r1(X0,X1)
| ~ sP5(X0)
| ~ r1(X1,sK41(sK44)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_116])]) ).
fof(f908,plain,
( spl50_112
| spl50_116
| ~ spl50_113
| ~ spl50_114
| ~ spl50_115 ),
inference(avatar_split_clause,[],[f904,f899,f882,f869,f906,f865]) ).
fof(f869,plain,
( spl50_113
<=> p2(sK12(sK41(sK44))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_113])]) ).
fof(f882,plain,
( spl50_114
<=> r1(sK41(sK44),sK12(sK41(sK44))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_114])]) ).
fof(f899,plain,
( spl50_115
<=> r1(sK12(sK41(sK44)),sK13(sK41(sK44))) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_115])]) ).
fof(f904,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| p2(sK41(sK44))
| ~ r1(X1,sK41(sK44))
| ~ sP5(X0) )
| ~ spl50_113
| ~ spl50_114
| ~ spl50_115 ),
inference(resolution,[],[f903,f100]) ).
fof(f100,plain,
! [X2,X0,X1] :
( ~ p2(sK13(X2))
| ~ r1(X0,X1)
| ~ sP5(X0)
| ~ r1(X1,X2)
| p2(X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ( ~ p2(sK13(X2))
& r1(sK12(X2),sK13(X2))
& r1(X2,sK12(X2))
& p2(sK12(X2)) ) )
| ~ r1(X0,X1) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f28,f30,f29]) ).
fof(f29,plain,
! [X2] :
( ? [X3] :
( ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& r1(X2,X3)
& p2(X3) )
=> ( ? [X4] :
( ~ p2(X4)
& r1(sK12(X2),X4) )
& r1(X2,sK12(X2))
& p2(sK12(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X2] :
( ? [X4] :
( ~ p2(X4)
& r1(sK12(X2),X4) )
=> ( ~ p2(sK13(X2))
& r1(sK12(X2),sK13(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ? [X3] :
( ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& r1(X2,X3)
& p2(X3) ) )
| ~ r1(X0,X1) )
| ~ sP5(X0) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X0] :
( ! [X44] :
( ! [X45] :
( ~ r1(X44,X45)
| p2(X45)
| ? [X46] :
( ? [X47] :
( ~ p2(X47)
& r1(X46,X47) )
& r1(X45,X46)
& p2(X46) ) )
| ~ r1(X0,X44) )
| ~ sP5(X0) ),
inference(nnf_transformation,[],[f13]) ).
fof(f903,plain,
( p2(sK13(sK41(sK44)))
| ~ spl50_113
| ~ spl50_114
| ~ spl50_115 ),
inference(resolution,[],[f901,f889]) ).
fof(f889,plain,
( ! [X0] :
( ~ r1(sK12(sK41(sK44)),X0)
| p2(X0) )
| ~ spl50_113
| ~ spl50_114 ),
inference(subsumption_resolution,[],[f888,f871]) ).
fof(f871,plain,
( p2(sK12(sK41(sK44)))
| ~ spl50_113 ),
inference(avatar_component_clause,[],[f869]) ).
fof(f888,plain,
( ! [X0] :
( ~ p2(sK12(sK41(sK44)))
| ~ r1(sK12(sK41(sK44)),X0)
| p2(X0) )
| ~ spl50_114 ),
inference(subsumption_resolution,[],[f887,f147]) ).
fof(f887,plain,
( ! [X0] :
( ~ r1(sK28,sK44)
| ~ r1(sK12(sK41(sK44)),X0)
| p2(X0)
| ~ p2(sK12(sK41(sK44))) )
| ~ spl50_114 ),
inference(subsumption_resolution,[],[f886,f148]) ).
fof(f886,plain,
( ! [X0] :
( ~ r1(sK12(sK41(sK44)),X0)
| p2(sK44)
| ~ r1(sK28,sK44)
| p2(X0)
| ~ p2(sK12(sK41(sK44))) )
| ~ spl50_114 ),
inference(resolution,[],[f884,f155]) ).
fof(f155,plain,
! [X26,X27,X24] :
( ~ r1(sK41(X24),X26)
| ~ r1(sK28,X24)
| ~ p2(X26)
| p2(X27)
| ~ r1(X26,X27)
| p2(X24) ),
inference(cnf_transformation,[],[f84]) ).
fof(f884,plain,
( r1(sK41(sK44),sK12(sK41(sK44)))
| ~ spl50_114 ),
inference(avatar_component_clause,[],[f882]) ).
fof(f901,plain,
( r1(sK12(sK41(sK44)),sK13(sK41(sK44)))
| ~ spl50_115 ),
inference(avatar_component_clause,[],[f899]) ).
fof(f902,plain,
( spl50_112
| spl50_115
| ~ spl50_64 ),
inference(avatar_split_clause,[],[f896,f536,f899,f865]) ).
fof(f896,plain,
( r1(sK12(sK41(sK44)),sK13(sK41(sK44)))
| p2(sK41(sK44))
| ~ spl50_64 ),
inference(resolution,[],[f892,f430]) ).
fof(f892,plain,
( ! [X2] :
( ~ r1(sK44,X2)
| p2(X2)
| r1(sK12(X2),sK13(X2)) )
| ~ spl50_64 ),
inference(resolution,[],[f844,f147]) ).
fof(f844,plain,
( ! [X0,X1] :
( ~ r1(sK28,X1)
| p2(X0)
| r1(sK12(X0),sK13(X0))
| ~ r1(X1,X0) )
| ~ spl50_64 ),
inference(resolution,[],[f538,f99]) ).
fof(f99,plain,
! [X2,X0,X1] :
( ~ sP5(X0)
| p2(X2)
| ~ r1(X1,X2)
| r1(sK12(X2),sK13(X2))
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f885,plain,
( spl50_114
| spl50_112
| ~ spl50_64 ),
inference(avatar_split_clause,[],[f879,f536,f865,f882]) ).
fof(f879,plain,
( p2(sK41(sK44))
| r1(sK41(sK44),sK12(sK41(sK44)))
| ~ spl50_64 ),
inference(resolution,[],[f875,f430]) ).
fof(f875,plain,
( ! [X2] :
( ~ r1(sK44,X2)
| p2(X2)
| r1(X2,sK12(X2)) )
| ~ spl50_64 ),
inference(resolution,[],[f845,f147]) ).
fof(f845,plain,
( ! [X2,X3] :
( ~ r1(sK28,X3)
| p2(X2)
| ~ r1(X3,X2)
| r1(X2,sK12(X2)) )
| ~ spl50_64 ),
inference(resolution,[],[f538,f98]) ).
fof(f98,plain,
! [X2,X0,X1] :
( ~ sP5(X0)
| p2(X2)
| ~ r1(X0,X1)
| r1(X2,sK12(X2))
| ~ r1(X1,X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f872,plain,
( spl50_112
| spl50_113
| ~ spl50_64 ),
inference(avatar_split_clause,[],[f862,f536,f869,f865]) ).
fof(f862,plain,
( p2(sK12(sK41(sK44)))
| p2(sK41(sK44))
| ~ spl50_64 ),
inference(resolution,[],[f849,f430]) ).
fof(f849,plain,
( ! [X2] :
( ~ r1(sK44,X2)
| p2(X2)
| p2(sK12(X2)) )
| ~ spl50_64 ),
inference(resolution,[],[f846,f147]) ).
fof(f846,plain,
( ! [X4,X5] :
( ~ r1(sK28,X5)
| p2(sK12(X4))
| p2(X4)
| ~ r1(X5,X4) )
| ~ spl50_64 ),
inference(resolution,[],[f538,f97]) ).
fof(f97,plain,
! [X2,X0,X1] :
( ~ sP5(X0)
| p2(X2)
| p2(sK12(X2))
| ~ r1(X0,X1)
| ~ r1(X1,X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f840,plain,
( ~ spl50_25
| spl50_80
| ~ spl50_81 ),
inference(avatar_contradiction_clause,[],[f839]) ).
fof(f839,plain,
( $false
| ~ spl50_25
| spl50_80
| ~ spl50_81 ),
inference(subsumption_resolution,[],[f838,f760]) ).
fof(f760,plain,
( r1(sK45,sK16(sK45))
| ~ spl50_25 ),
inference(resolution,[],[f295,f104]) ).
fof(f838,plain,
( ~ r1(sK45,sK16(sK45))
| ~ spl50_25
| spl50_80
| ~ spl50_81 ),
inference(resolution,[],[f837,f295]) ).
fof(f837,plain,
( ! [X0] :
( ~ sP4(X0)
| ~ r1(X0,sK16(sK45)) )
| ~ spl50_25
| spl50_80
| ~ spl50_81 ),
inference(subsumption_resolution,[],[f836,f627]) ).
fof(f627,plain,
( ~ p2(sK16(sK45))
| spl50_80 ),
inference(avatar_component_clause,[],[f625]) ).
fof(f625,plain,
( spl50_80
<=> p2(sK16(sK45)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_80])]) ).
fof(f836,plain,
( ! [X0] :
( ~ r1(X0,sK16(sK45))
| p2(sK16(sK45))
| ~ sP4(X0) )
| ~ spl50_25
| spl50_80
| ~ spl50_81 ),
inference(resolution,[],[f835,f107]) ).
fof(f107,plain,
! [X0,X1] :
( ~ p2(sK15(X1))
| ~ sP4(X0)
| p2(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f835,plain,
( p2(sK15(sK16(sK45)))
| ~ spl50_25
| spl50_80
| ~ spl50_81 ),
inference(resolution,[],[f834,f793]) ).
fof(f793,plain,
( r1(sK14(sK16(sK45)),sK15(sK16(sK45)))
| ~ spl50_25
| spl50_80 ),
inference(subsumption_resolution,[],[f792,f627]) ).
fof(f792,plain,
( r1(sK14(sK16(sK45)),sK15(sK16(sK45)))
| p2(sK16(sK45))
| ~ spl50_25 ),
inference(resolution,[],[f757,f760]) ).
fof(f757,plain,
( ! [X2] :
( ~ r1(sK45,X2)
| r1(sK14(X2),sK15(X2))
| p2(X2) )
| ~ spl50_25 ),
inference(resolution,[],[f295,f108]) ).
fof(f108,plain,
! [X0,X1] :
( ~ sP4(X0)
| r1(sK14(X1),sK15(X1))
| ~ r1(X0,X1)
| p2(X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f834,plain,
( ! [X1] :
( ~ r1(sK14(sK16(sK45)),X1)
| p2(X1) )
| ~ spl50_25
| spl50_80
| ~ spl50_81 ),
inference(subsumption_resolution,[],[f833,f789]) ).
fof(f789,plain,
( p2(sK14(sK16(sK45)))
| ~ spl50_25
| spl50_80 ),
inference(subsumption_resolution,[],[f788,f627]) ).
fof(f788,plain,
( p2(sK16(sK45))
| p2(sK14(sK16(sK45)))
| ~ spl50_25 ),
inference(resolution,[],[f759,f760]) ).
fof(f759,plain,
( ! [X4] :
( ~ r1(sK45,X4)
| p2(X4)
| p2(sK14(X4)) )
| ~ spl50_25 ),
inference(resolution,[],[f295,f106]) ).
fof(f106,plain,
! [X0,X1] :
( ~ sP4(X0)
| p2(sK14(X1))
| ~ r1(X0,X1)
| p2(X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f833,plain,
( ! [X1] :
( ~ p2(sK14(sK16(sK45)))
| ~ r1(sK14(sK16(sK45)),X1)
| p2(X1) )
| ~ spl50_25
| spl50_80
| ~ spl50_81 ),
inference(resolution,[],[f632,f791]) ).
fof(f791,plain,
( r1(sK16(sK45),sK14(sK16(sK45)))
| ~ spl50_25
| spl50_80 ),
inference(subsumption_resolution,[],[f790,f627]) ).
fof(f790,plain,
( p2(sK16(sK45))
| r1(sK16(sK45),sK14(sK16(sK45)))
| ~ spl50_25 ),
inference(resolution,[],[f758,f760]) ).
fof(f758,plain,
( ! [X3] :
( ~ r1(sK45,X3)
| r1(X3,sK14(X3))
| p2(X3) )
| ~ spl50_25 ),
inference(resolution,[],[f295,f105]) ).
fof(f105,plain,
! [X0,X1] :
( ~ sP4(X0)
| r1(X1,sK14(X1))
| p2(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f632,plain,
( ! [X0,X1] :
( ~ r1(sK16(sK45),X0)
| ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1) )
| ~ spl50_81 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f828,plain,
( spl50_108
| spl50_109
| ~ spl50_25
| ~ spl50_79 ),
inference(avatar_split_clause,[],[f823,f621,f293,f825,f812]) ).
fof(f823,plain,
( p2(sK18(sK17(sK45)))
| p2(sK17(sK45))
| ~ spl50_25
| ~ spl50_79 ),
inference(subsumption_resolution,[],[f821,f295]) ).
fof(f821,plain,
( p2(sK17(sK45))
| ~ sP4(sK45)
| p2(sK18(sK17(sK45)))
| ~ spl50_79 ),
inference(resolution,[],[f820,f101]) ).
fof(f820,plain,
( ! [X6] :
( ~ r1(sK16(sK45),X6)
| p2(X6)
| p2(sK18(X6)) )
| ~ spl50_79 ),
inference(resolution,[],[f623,f113]) ).
fof(f113,plain,
! [X0,X1] :
( ~ sP3(X0)
| ~ r1(X0,X1)
| p2(sK18(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f815,plain,
( spl50_107
| spl50_108
| ~ spl50_25
| ~ spl50_78 ),
inference(avatar_split_clause,[],[f806,f617,f293,f812,f808]) ).
fof(f806,plain,
( p2(sK17(sK45))
| p2(sK23(sK17(sK45)))
| ~ spl50_25
| ~ spl50_78 ),
inference(subsumption_resolution,[],[f794,f295]) ).
fof(f794,plain,
( ~ sP4(sK45)
| p2(sK23(sK17(sK45)))
| p2(sK17(sK45))
| ~ spl50_78 ),
inference(resolution,[],[f764,f101]) ).
fof(f764,plain,
( ! [X4] :
( ~ r1(sK16(sK45),X4)
| p2(X4)
| p2(sK23(X4)) )
| ~ spl50_78 ),
inference(resolution,[],[f619,f117]) ).
fof(f117,plain,
! [X0,X5] :
( ~ sP2(X0)
| p2(X5)
| ~ r1(X0,X5)
| p2(sK23(X5)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f720,plain,
( spl50_87
| spl50_96
| ~ spl50_65 ),
inference(avatar_split_clause,[],[f653,f540,f717,f673]) ).
fof(f653,plain,
( r1(sK9(sK28),sK39(sK9(sK28)))
| p2(sK9(sK28))
| ~ spl50_65 ),
inference(resolution,[],[f542,f156]) ).
fof(f710,plain,
( spl50_94
| spl50_87
| ~ spl50_65 ),
inference(avatar_split_clause,[],[f654,f540,f673,f707]) ).
fof(f654,plain,
( p2(sK9(sK28))
| p2(sK39(sK9(sK28)))
| ~ spl50_65 ),
inference(resolution,[],[f542,f157]) ).
fof(f157,plain,
! [X21] :
( ~ r1(sK28,X21)
| p2(sK39(X21))
| p2(X21) ),
inference(cnf_transformation,[],[f84]) ).
fof(f676,plain,
( spl50_86
| spl50_87
| ~ spl50_65 ),
inference(avatar_split_clause,[],[f655,f540,f673,f669]) ).
fof(f655,plain,
( p2(sK9(sK28))
| r1(sK39(sK9(sK28)),sK40(sK9(sK28)))
| ~ spl50_65 ),
inference(resolution,[],[f542,f158]) ).
fof(f158,plain,
! [X21] :
( ~ r1(sK28,X21)
| p2(X21)
| r1(sK39(X21),sK40(X21)) ),
inference(cnf_transformation,[],[f84]) ).
fof(f648,plain,
( spl50_64
| spl50_65
| ~ spl50_10 ),
inference(avatar_split_clause,[],[f613,f223,f540,f536]) ).
fof(f613,plain,
( r1(sK28,sK9(sK28))
| sP5(sK28)
| ~ spl50_10 ),
inference(resolution,[],[f225,f94]) ).
fof(f94,plain,
! [X0] :
( ~ sP6(X0)
| sP5(X0)
| r1(X0,sK9(X0)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f628,plain,
( spl50_78
| spl50_79
| ~ spl50_80
| ~ spl50_11
| ~ spl50_25 ),
inference(avatar_split_clause,[],[f615,f293,f227,f625,f621,f617]) ).
fof(f227,plain,
( spl50_11
<=> ! [X34] :
( ~ p2(X34)
| ~ r1(sK45,X34)
| sP3(X34)
| sP2(X34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_11])]) ).
fof(f615,plain,
( ~ p2(sK16(sK45))
| sP3(sK16(sK45))
| sP2(sK16(sK45))
| ~ spl50_11
| ~ spl50_25 ),
inference(resolution,[],[f228,f544]) ).
fof(f544,plain,
( r1(sK45,sK16(sK45))
| ~ spl50_25 ),
inference(resolution,[],[f295,f104]) ).
fof(f228,plain,
( ! [X34] :
( ~ r1(sK45,X34)
| sP2(X34)
| sP3(X34)
| ~ p2(X34) )
| ~ spl50_11 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f583,plain,
( spl50_71
| spl50_24
| ~ spl50_31 ),
inference(avatar_split_clause,[],[f551,f321,f289,f580]) ).
fof(f551,plain,
( p2(sK45)
| r1(sK39(sK45),sK40(sK45))
| ~ spl50_31 ),
inference(resolution,[],[f323,f158]) ).
fof(f559,plain,
( spl50_24
| spl50_66
| ~ spl50_31 ),
inference(avatar_split_clause,[],[f550,f321,f556,f289]) ).
fof(f550,plain,
( p2(sK39(sK45))
| p2(sK45)
| ~ spl50_31 ),
inference(resolution,[],[f323,f157]) ).
fof(f337,plain,
( spl50_10
| spl50_34
| spl50_25 ),
inference(avatar_split_clause,[],[f145,f293,f335,f223]) ).
fof(f145,plain,
! [X32,X33] :
( sP4(sK45)
| p2(X33)
| ~ r1(sK45,X32)
| ~ r1(X32,X33)
| sP6(sK28)
| ~ p2(X32) ),
inference(cnf_transformation,[],[f84]) ).
fof(f324,plain,
( spl50_31
| spl50_10 ),
inference(avatar_split_clause,[],[f144,f223,f321]) ).
fof(f144,plain,
( sP6(sK28)
| r1(sK28,sK45) ),
inference(cnf_transformation,[],[f84]) ).
fof(f305,plain,
( spl50_10
| spl50_27 ),
inference(avatar_split_clause,[],[f142,f303,f223]) ).
fof(f142,plain,
! [X36,X34,X35] :
( ~ r1(sK45,X34)
| sP2(X34)
| ~ p2(X35)
| sP3(X34)
| sP6(sK28)
| ~ r1(X34,X35)
| ~ r1(X35,X36)
| p2(X36) ),
inference(cnf_transformation,[],[f84]) ).
fof(f296,plain,
( ~ spl50_24
| spl50_25
| spl50_10 ),
inference(avatar_split_clause,[],[f146,f223,f293,f289]) ).
fof(f146,plain,
( sP6(sK28)
| sP4(sK45)
| ~ p2(sK45) ),
inference(cnf_transformation,[],[f84]) ).
fof(f229,plain,
( spl50_10
| spl50_11 ),
inference(avatar_split_clause,[],[f143,f227,f223]) ).
fof(f143,plain,
! [X34] :
( ~ p2(X34)
| sP2(X34)
| sP3(X34)
| sP6(sK28)
| ~ r1(sK45,X34) ),
inference(cnf_transformation,[],[f84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : LCL642+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.02/0.09 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.29 % Computer : n029.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Tue Aug 30 02:23:26 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.15/0.51 % (23763)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.51 % (23764)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.52 % (23762)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.52 % (23780)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.15/0.52 % (23764)Instruction limit reached!
% 0.15/0.52 % (23764)------------------------------
% 0.15/0.52 % (23764)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.52 % (23764)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.52 % (23764)Termination reason: Unknown
% 0.15/0.52 % (23764)Termination phase: Unused predicate definition removal
% 0.15/0.52
% 0.15/0.52 % (23764)Memory used [KB]: 895
% 0.15/0.52 % (23764)Time elapsed: 0.003 s
% 0.15/0.52 % (23764)Instructions burned: 2 (million)
% 0.15/0.52 % (23764)------------------------------
% 0.15/0.52 % (23764)------------------------------
% 0.15/0.52 % (23763)Instruction limit reached!
% 0.15/0.52 % (23763)------------------------------
% 0.15/0.52 % (23763)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.52 % (23772)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.52 % (23766)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.52 % (23779)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.15/0.52 TRYING [1]
% 0.15/0.52 % (23771)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.15/0.53 % (23770)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.15/0.53 % (23778)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.15/0.54 % (23774)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.54 % (23763)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.54 % (23763)Termination reason: Unknown
% 0.15/0.54 % (23763)Termination phase: Saturation
% 0.15/0.54
% 0.15/0.54 % (23763)Memory used [KB]: 5756
% 0.15/0.54 % (23763)Time elapsed: 0.145 s
% 0.15/0.54 % (23763)Instructions burned: 7 (million)
% 0.15/0.54 % (23763)------------------------------
% 0.15/0.54 % (23763)------------------------------
% 0.15/0.54 % (23782)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.15/0.55 TRYING [2]
% 0.15/0.55 TRYING [3]
% 0.15/0.55 % (23758)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.15/0.56 % (23757)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.57 % (23775)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.57 % (23779)First to succeed.
% 0.15/0.57 % (23783)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.15/0.58 % (23767)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.58 % (23760)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.58 % (23761)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.15/0.58 % (23757)Refutation not found, incomplete strategy% (23757)------------------------------
% 0.15/0.58 % (23757)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.58 % (23757)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.58 % (23757)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.58
% 0.15/0.58 % (23757)Memory used [KB]: 5756
% 0.15/0.58 % (23757)Time elapsed: 0.211 s
% 0.15/0.58 % (23757)Instructions burned: 9 (million)
% 0.15/0.58 % (23757)------------------------------
% 0.15/0.58 % (23757)------------------------------
% 0.15/0.58 TRYING [4]
% 0.15/0.59 % (23784)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.15/0.59 % (23768)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.15/0.60 % (23762)Instruction limit reached!
% 0.15/0.60 % (23762)------------------------------
% 0.15/0.60 % (23762)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.60 % (23777)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.15/0.60 % (23776)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.15/0.60 % (23762)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.60 % (23762)Termination reason: Unknown
% 0.15/0.60 % (23762)Termination phase: Finite model building constraint generation
% 0.15/0.60
% 0.15/0.60 % (23762)Memory used [KB]: 7164
% 0.15/0.60 % (23762)Time elapsed: 0.221 s
% 0.15/0.60 % (23762)Instructions burned: 52 (million)
% 0.15/0.60 % (23762)------------------------------
% 0.15/0.60 % (23762)------------------------------
% 0.15/0.60 % (23769)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.61 % (23779)Refutation found. Thanks to Tanya!
% 0.15/0.61 % SZS status Theorem for theBenchmark
% 0.15/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 2.26/0.61 % (23779)------------------------------
% 2.26/0.61 % (23779)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.61 % (23779)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.61 % (23779)Termination reason: Refutation
% 2.26/0.61
% 2.26/0.61 % (23779)Memory used [KB]: 6268
% 2.26/0.61 % (23779)Time elapsed: 0.206 s
% 2.26/0.61 % (23779)Instructions burned: 22 (million)
% 2.26/0.61 % (23779)------------------------------
% 2.26/0.61 % (23779)------------------------------
% 2.26/0.61 % (23755)Success in time 0.311 s
%------------------------------------------------------------------------------