TSTP Solution File: LCL684+1.005 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL684+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 : n016.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 03:19:19 EDT 2024
% Result : Theorem 1.83s 0.98s
% Output : Refutation 1.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 199
% Syntax : Number of formulae : 1075 ( 44 unt; 0 def)
% Number of atoms : 6101 ( 0 equ)
% Maximal formula atoms : 316 ( 5 avg)
% Number of connectives : 9622 (4596 ~;3744 |;1126 &)
% ( 105 <=>; 51 =>; 0 <=; 0 <~>)
% Maximal formula depth : 92 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 178 ( 177 usr; 106 prp; 0-2 aty)
% Number of functors : 51 ( 51 usr; 1 con; 0-1 aty)
% Number of variables : 2098 (1790 !; 308 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8702,plain,
$false,
inference(avatar_sat_refutation,[],[f427,f445,f464,f484,f505,f526,f1168,f1368,f1388,f1390,f1392,f1466,f1471,f1830,f1968,f2023,f2025,f2027,f2360,f2367,f2374,f2396,f2472,f2610,f2617,f2654,f2666,f2680,f2687,f2694,f2701,f2708,f2799,f2875,f2882,f2889,f2891,f2893,f3120,f3133,f3135,f3487,f3497,f3499,f3558,f3784,f3786,f3788,f3857,f4083,f4085,f4119,f4126,f4133,f4135,f4251,f4264,f4277,f4314,f4336,f4343,f4350,f4380,f4577,f4585,f4587,f4589,f4820,f4822,f4844,f4881,f4889,f4896,f4903,f4905,f4917,f4919,f4922,f5123,f5124,f5136,f5143,f5145,f5147,f5149,f5151,f5153,f5161,f5163,f5248,f5259,f5344,f5383,f5385,f5458,f5624,f5697,f5699,f5717,f5770,f5772,f5910,f5917,f5929,f5932,f5934,f5936,f6008,f6149,f6231,f6285,f6294,f6615,f6622,f6646,f6698,f6726,f6744,f6752,f6754,f6771,f6859,f6887,f6889,f6891,f6893,f7132,f7133,f7143,f7148,f7175,f7177,f7371,f7377,f7387,f7390,f7392,f7394,f7490,f7499,f7676,f7678,f7680,f7920,f7944,f7946,f8164,f8185,f8187,f8247,f8403,f8406,f8489,f8491,f8526,f8603,f8701]) ).
fof(f8701,plain,
( spl92_43
| ~ spl92_18
| ~ spl92_675 ),
inference(avatar_split_clause,[],[f8700,f8600,f473,f638]) ).
fof(f638,plain,
( spl92_43
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP33(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_43])]) ).
fof(f473,plain,
( spl92_18
<=> p403(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_18])]) ).
fof(f8600,plain,
( spl92_675
<=> p103(sK47(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_675])]) ).
fof(f8700,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP33(X0) )
| ~ spl92_18
| ~ spl92_675 ),
inference(subsumption_resolution,[],[f8699,f475]) ).
fof(f475,plain,
( p403(sK91)
| ~ spl92_18 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f8699,plain,
( ! [X0] :
( ~ p403(sK91)
| ~ r1(X0,sK91)
| ~ sP33(X0) )
| ~ spl92_675 ),
inference(resolution,[],[f8602,f315]) ).
fof(f315,plain,
! [X0,X1] :
( ~ p103(sK47(X1))
| ~ p403(X1)
| ~ r1(X0,X1)
| ~ sP33(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ! [X1] :
( ( ~ p103(sK47(X1))
& r1(X1,sK47(X1)) )
| ~ p403(X1)
| ~ r1(X0,X1) )
| ~ sP33(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK47])],[f80,f81]) ).
fof(f81,plain,
! [X1] :
( ? [X2] :
( ~ p103(X2)
& r1(X1,X2) )
=> ( ~ p103(sK47(X1))
& r1(X1,sK47(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p103(X2)
& r1(X1,X2) )
| ~ p403(X1)
| ~ r1(X0,X1) )
| ~ sP33(X0) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
! [X11] :
( ! [X52] :
( ? [X53] :
( ~ p103(X53)
& r1(X52,X53) )
| ~ p403(X52)
| ~ r1(X11,X52) )
| ~ sP33(X11) ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X11] :
( ! [X52] :
( ? [X53] :
( ~ p103(X53)
& r1(X52,X53) )
| ~ p403(X52)
| ~ r1(X11,X52) )
| ~ sP33(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f8602,plain,
( p103(sK47(sK91))
| ~ spl92_675 ),
inference(avatar_component_clause,[],[f8600]) ).
fof(f8603,plain,
( spl92_43
| spl92_675
| ~ spl92_3
| ~ spl92_18 ),
inference(avatar_split_clause,[],[f8598,f473,f418,f8600,f638]) ).
fof(f418,plain,
( spl92_3
<=> ! [X2] :
( p103(X2)
| ~ r1(sK91,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_3])]) ).
fof(f8598,plain,
( ! [X0] :
( p103(sK47(sK91))
| ~ r1(X0,sK91)
| ~ sP33(X0) )
| ~ spl92_3
| ~ spl92_18 ),
inference(subsumption_resolution,[],[f8544,f475]) ).
fof(f8544,plain,
( ! [X0] :
( p103(sK47(sK91))
| ~ p403(sK91)
| ~ r1(X0,sK91)
| ~ sP33(X0) )
| ~ spl92_3 ),
inference(resolution,[],[f419,f314]) ).
fof(f314,plain,
! [X0,X1] :
( r1(X1,sK47(X1))
| ~ p403(X1)
| ~ r1(X0,X1)
| ~ sP33(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f419,plain,
( ! [X2] :
( ~ r1(sK91,X2)
| p103(X2) )
| ~ spl92_3 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f8526,plain,
( ~ spl92_10
| ~ spl92_30 ),
inference(avatar_contradiction_clause,[],[f8525]) ).
fof(f8525,plain,
( $false
| ~ spl92_10
| ~ spl92_30 ),
inference(unit_resulting_resolution,[],[f527,f444,f410,f525,f293]) ).
fof(f293,plain,
! [X0,X9] :
( ~ r1(X0,X9)
| ~ p601(X9)
| ~ p201(X9)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ( ! [X1] :
( ~ p101(X1)
| ~ p201(X1)
| ~ r1(X0,X1) )
& ! [X2] :
( ~ p101(X2)
| ~ p301(X2)
| ~ r1(X0,X2) )
& ! [X3] :
( ~ p101(X3)
| ~ p401(X3)
| ~ r1(X0,X3) )
& ! [X4] :
( ~ p101(X4)
| ~ p501(X4)
| ~ r1(X0,X4) )
& ! [X5] :
( ~ p101(X5)
| ~ p601(X5)
| ~ r1(X0,X5) )
& ! [X6] :
( ~ p201(X6)
| ~ p301(X6)
| ~ r1(X0,X6) )
& ! [X7] :
( ~ p201(X7)
| ~ p401(X7)
| ~ r1(X0,X7) )
& ! [X8] :
( ~ p201(X8)
| ~ p501(X8)
| ~ r1(X0,X8) )
& ! [X9] :
( ~ p201(X9)
| ~ p601(X9)
| ~ r1(X0,X9) )
& ! [X10] :
( ~ p301(X10)
| ~ p401(X10)
| ~ r1(X0,X10) )
& ! [X11] :
( ~ p301(X11)
| ~ p501(X11)
| ~ r1(X0,X11) )
& ! [X12] :
( ~ p301(X12)
| ~ p601(X12)
| ~ r1(X0,X12) )
& ! [X13] :
( ~ p401(X13)
| ~ p501(X13)
| ~ r1(X0,X13) )
& ! [X14] :
( ~ p401(X14)
| ~ p601(X14)
| ~ r1(X0,X14) )
& ! [X15] :
( ~ p501(X15)
| ~ p601(X15)
| ~ r1(X0,X15) )
& sP39(X0)
& sP38(X0)
& sP37(X0)
& sP36(X0)
& sP35(X0)
& ! [X16] :
( ~ p202(X16)
| ~ p302(X16)
| ~ r1(X0,X16) )
& ! [X17] :
( ~ p202(X17)
| ~ p402(X17)
| ~ r1(X0,X17) )
& ! [X18] :
( ~ p202(X18)
| ~ p502(X18)
| ~ r1(X0,X18) )
& ! [X19] :
( ~ p202(X19)
| ~ p602(X19)
| ~ r1(X0,X19) )
& ! [X20] :
( ~ p302(X20)
| ~ p402(X20)
| ~ r1(X0,X20) )
& ! [X21] :
( ~ p302(X21)
| ~ p502(X21)
| ~ r1(X0,X21) )
& ! [X22] :
( ~ p302(X22)
| ~ p602(X22)
| ~ r1(X0,X22) )
& ! [X23] :
( ~ p402(X23)
| ~ p502(X23)
| ~ r1(X0,X23) )
& ! [X24] :
( ~ p402(X24)
| ~ p602(X24)
| ~ r1(X0,X24) )
& ! [X25] :
( ~ p502(X25)
| ~ p602(X25)
| ~ r1(X0,X25) )
& sP9(X0)
& sP34(X0)
& sP33(X0)
& sP32(X0)
& sP31(X0)
& sP30(X0)
& sP29(X0)
& sP28(X0)
& sP27(X0)
& ! [X26] :
( ~ p303(X26)
| ~ p403(X26)
| ~ r1(X0,X26) )
& ! [X27] :
( ~ p303(X27)
| ~ p503(X27)
| ~ r1(X0,X27) )
& ! [X28] :
( ~ p303(X28)
| ~ p603(X28)
| ~ r1(X0,X28) )
& ! [X29] :
( ~ p403(X29)
| ~ p503(X29)
| ~ r1(X0,X29) )
& ! [X30] :
( ~ p403(X30)
| ~ p603(X30)
| ~ r1(X0,X30) )
& ! [X31] :
( ~ p503(X31)
| ~ p603(X31)
| ~ r1(X0,X31) )
& sP8(X0)
& sP7(X0)
& sP26(X0)
& sP25(X0)
& sP24(X0)
& sP6(X0)
& sP23(X0)
& sP22(X0)
& sP21(X0)
& sP20(X0)
& sP19(X0)
& sP18(X0)
& ! [X32] :
( ~ p404(X32)
| ~ p504(X32)
| ~ r1(X0,X32) )
& ! [X33] :
( ~ p404(X33)
| ~ p604(X33)
| ~ r1(X0,X33) )
& ! [X34] :
( ~ p504(X34)
| ~ p604(X34)
| ~ r1(X0,X34) )
& sP5(X0)
& sP4(X0)
& sP3(X0)
& sP17(X0)
& sP16(X0)
& sP2(X0)
& sP1(X0)
& sP15(X0)
& sP14(X0)
& sP0(X0)
& sP13(X0)
& sP12(X0)
& sP11(X0)
& sP10(X0)
& ! [X35] :
( ~ p505(X35)
| ~ p605(X35)
| ~ r1(X0,X35) ) )
| ~ sP40(X0) ),
inference(rectify,[],[f53]) ).
fof(f53,plain,
! [X11] :
( ( ! [X12] :
( ~ p101(X12)
| ~ p201(X12)
| ~ r1(X11,X12) )
& ! [X13] :
( ~ p101(X13)
| ~ p301(X13)
| ~ r1(X11,X13) )
& ! [X14] :
( ~ p101(X14)
| ~ p401(X14)
| ~ r1(X11,X14) )
& ! [X15] :
( ~ p101(X15)
| ~ p501(X15)
| ~ r1(X11,X15) )
& ! [X16] :
( ~ p101(X16)
| ~ p601(X16)
| ~ r1(X11,X16) )
& ! [X17] :
( ~ p201(X17)
| ~ p301(X17)
| ~ r1(X11,X17) )
& ! [X18] :
( ~ p201(X18)
| ~ p401(X18)
| ~ r1(X11,X18) )
& ! [X19] :
( ~ p201(X19)
| ~ p501(X19)
| ~ r1(X11,X19) )
& ! [X20] :
( ~ p201(X20)
| ~ p601(X20)
| ~ r1(X11,X20) )
& ! [X21] :
( ~ p301(X21)
| ~ p401(X21)
| ~ r1(X11,X21) )
& ! [X22] :
( ~ p301(X22)
| ~ p501(X22)
| ~ r1(X11,X22) )
& ! [X23] :
( ~ p301(X23)
| ~ p601(X23)
| ~ r1(X11,X23) )
& ! [X24] :
( ~ p401(X24)
| ~ p501(X24)
| ~ r1(X11,X24) )
& ! [X25] :
( ~ p401(X25)
| ~ p601(X25)
| ~ r1(X11,X25) )
& ! [X26] :
( ~ p501(X26)
| ~ p601(X26)
| ~ r1(X11,X26) )
& sP39(X11)
& sP38(X11)
& sP37(X11)
& sP36(X11)
& sP35(X11)
& ! [X37] :
( ~ p202(X37)
| ~ p302(X37)
| ~ r1(X11,X37) )
& ! [X38] :
( ~ p202(X38)
| ~ p402(X38)
| ~ r1(X11,X38) )
& ! [X39] :
( ~ p202(X39)
| ~ p502(X39)
| ~ r1(X11,X39) )
& ! [X40] :
( ~ p202(X40)
| ~ p602(X40)
| ~ r1(X11,X40) )
& ! [X41] :
( ~ p302(X41)
| ~ p402(X41)
| ~ r1(X11,X41) )
& ! [X42] :
( ~ p302(X42)
| ~ p502(X42)
| ~ r1(X11,X42) )
& ! [X43] :
( ~ p302(X43)
| ~ p602(X43)
| ~ r1(X11,X43) )
& ! [X44] :
( ~ p402(X44)
| ~ p502(X44)
| ~ r1(X11,X44) )
& ! [X45] :
( ~ p402(X45)
| ~ p602(X45)
| ~ r1(X11,X45) )
& ! [X46] :
( ~ p502(X46)
| ~ p602(X46)
| ~ r1(X11,X46) )
& sP9(X11)
& sP34(X11)
& sP33(X11)
& sP32(X11)
& sP31(X11)
& sP30(X11)
& sP29(X11)
& sP28(X11)
& sP27(X11)
& ! [X66] :
( ~ p303(X66)
| ~ p403(X66)
| ~ r1(X11,X66) )
& ! [X67] :
( ~ p303(X67)
| ~ p503(X67)
| ~ r1(X11,X67) )
& ! [X68] :
( ~ p303(X68)
| ~ p603(X68)
| ~ r1(X11,X68) )
& ! [X69] :
( ~ p403(X69)
| ~ p503(X69)
| ~ r1(X11,X69) )
& ! [X70] :
( ~ p403(X70)
| ~ p603(X70)
| ~ r1(X11,X70) )
& ! [X71] :
( ~ p503(X71)
| ~ p603(X71)
| ~ r1(X11,X71) )
& sP8(X11)
& sP7(X11)
& sP26(X11)
& sP25(X11)
& sP24(X11)
& sP6(X11)
& sP23(X11)
& sP22(X11)
& sP21(X11)
& sP20(X11)
& sP19(X11)
& sP18(X11)
& ! [X99] :
( ~ p404(X99)
| ~ p504(X99)
| ~ r1(X11,X99) )
& ! [X100] :
( ~ p404(X100)
| ~ p604(X100)
| ~ r1(X11,X100) )
& ! [X101] :
( ~ p504(X101)
| ~ p604(X101)
| ~ r1(X11,X101) )
& sP5(X11)
& sP4(X11)
& sP3(X11)
& sP17(X11)
& sP16(X11)
& sP2(X11)
& sP1(X11)
& sP15(X11)
& sP14(X11)
& sP0(X11)
& sP13(X11)
& sP12(X11)
& sP11(X11)
& sP10(X11)
& ! [X136] :
( ~ p505(X136)
| ~ p605(X136)
| ~ r1(X11,X136) ) )
| ~ sP40(X11) ),
inference(nnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X11] :
( ( ! [X12] :
( ~ p101(X12)
| ~ p201(X12)
| ~ r1(X11,X12) )
& ! [X13] :
( ~ p101(X13)
| ~ p301(X13)
| ~ r1(X11,X13) )
& ! [X14] :
( ~ p101(X14)
| ~ p401(X14)
| ~ r1(X11,X14) )
& ! [X15] :
( ~ p101(X15)
| ~ p501(X15)
| ~ r1(X11,X15) )
& ! [X16] :
( ~ p101(X16)
| ~ p601(X16)
| ~ r1(X11,X16) )
& ! [X17] :
( ~ p201(X17)
| ~ p301(X17)
| ~ r1(X11,X17) )
& ! [X18] :
( ~ p201(X18)
| ~ p401(X18)
| ~ r1(X11,X18) )
& ! [X19] :
( ~ p201(X19)
| ~ p501(X19)
| ~ r1(X11,X19) )
& ! [X20] :
( ~ p201(X20)
| ~ p601(X20)
| ~ r1(X11,X20) )
& ! [X21] :
( ~ p301(X21)
| ~ p401(X21)
| ~ r1(X11,X21) )
& ! [X22] :
( ~ p301(X22)
| ~ p501(X22)
| ~ r1(X11,X22) )
& ! [X23] :
( ~ p301(X23)
| ~ p601(X23)
| ~ r1(X11,X23) )
& ! [X24] :
( ~ p401(X24)
| ~ p501(X24)
| ~ r1(X11,X24) )
& ! [X25] :
( ~ p401(X25)
| ~ p601(X25)
| ~ r1(X11,X25) )
& ! [X26] :
( ~ p501(X26)
| ~ p601(X26)
| ~ r1(X11,X26) )
& sP39(X11)
& sP38(X11)
& sP37(X11)
& sP36(X11)
& sP35(X11)
& ! [X37] :
( ~ p202(X37)
| ~ p302(X37)
| ~ r1(X11,X37) )
& ! [X38] :
( ~ p202(X38)
| ~ p402(X38)
| ~ r1(X11,X38) )
& ! [X39] :
( ~ p202(X39)
| ~ p502(X39)
| ~ r1(X11,X39) )
& ! [X40] :
( ~ p202(X40)
| ~ p602(X40)
| ~ r1(X11,X40) )
& ! [X41] :
( ~ p302(X41)
| ~ p402(X41)
| ~ r1(X11,X41) )
& ! [X42] :
( ~ p302(X42)
| ~ p502(X42)
| ~ r1(X11,X42) )
& ! [X43] :
( ~ p302(X43)
| ~ p602(X43)
| ~ r1(X11,X43) )
& ! [X44] :
( ~ p402(X44)
| ~ p502(X44)
| ~ r1(X11,X44) )
& ! [X45] :
( ~ p402(X45)
| ~ p602(X45)
| ~ r1(X11,X45) )
& ! [X46] :
( ~ p502(X46)
| ~ p602(X46)
| ~ r1(X11,X46) )
& sP9(X11)
& sP34(X11)
& sP33(X11)
& sP32(X11)
& sP31(X11)
& sP30(X11)
& sP29(X11)
& sP28(X11)
& sP27(X11)
& ! [X66] :
( ~ p303(X66)
| ~ p403(X66)
| ~ r1(X11,X66) )
& ! [X67] :
( ~ p303(X67)
| ~ p503(X67)
| ~ r1(X11,X67) )
& ! [X68] :
( ~ p303(X68)
| ~ p603(X68)
| ~ r1(X11,X68) )
& ! [X69] :
( ~ p403(X69)
| ~ p503(X69)
| ~ r1(X11,X69) )
& ! [X70] :
( ~ p403(X70)
| ~ p603(X70)
| ~ r1(X11,X70) )
& ! [X71] :
( ~ p503(X71)
| ~ p603(X71)
| ~ r1(X11,X71) )
& sP8(X11)
& sP7(X11)
& sP26(X11)
& sP25(X11)
& sP24(X11)
& sP6(X11)
& sP23(X11)
& sP22(X11)
& sP21(X11)
& sP20(X11)
& sP19(X11)
& sP18(X11)
& ! [X99] :
( ~ p404(X99)
| ~ p504(X99)
| ~ r1(X11,X99) )
& ! [X100] :
( ~ p404(X100)
| ~ p604(X100)
| ~ r1(X11,X100) )
& ! [X101] :
( ~ p504(X101)
| ~ p604(X101)
| ~ r1(X11,X101) )
& sP5(X11)
& sP4(X11)
& sP3(X11)
& sP17(X11)
& sP16(X11)
& sP2(X11)
& sP1(X11)
& sP15(X11)
& sP14(X11)
& sP0(X11)
& sP13(X11)
& sP12(X11)
& sP11(X11)
& sP10(X11)
& ! [X136] :
( ~ p505(X136)
| ~ p605(X136)
| ~ r1(X11,X136) ) )
| ~ sP40(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f525,plain,
( p601(sK91)
| ~ spl92_30 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f523,plain,
( spl92_30
<=> p601(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_30])]) ).
fof(f410,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.dYVrYhc0YO/Vampire---4.8_21852',reflexivity) ).
fof(f444,plain,
( p201(sK91)
| ~ spl92_10 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f442,plain,
( spl92_10
<=> p201(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_10])]) ).
fof(f527,plain,
sP40(sK91),
inference(resolution,[],[f402,f410]) ).
fof(f402,plain,
! [X11] :
( ~ r1(sK91,X11)
| sP40(X11) ),
inference(cnf_transformation,[],[f226]) ).
fof(f226,plain,
( ( p101(sK91)
| ! [X1] :
( p102(X1)
| ~ r1(sK91,X1) )
| ! [X2] :
( p103(X2)
| ~ r1(sK91,X2) )
| ! [X3] :
( p104(X3)
| ~ r1(sK91,X3) )
| ! [X4] :
( p105(X4)
| ~ r1(sK91,X4) ) )
& ( p201(sK91)
| p202(sK91)
| ! [X5] :
( p203(X5)
| ~ r1(sK91,X5) )
| ! [X6] :
( p204(X6)
| ~ r1(sK91,X6) )
| ! [X7] :
( p205(X7)
| ~ r1(sK91,X7) ) )
& ( p301(sK91)
| p302(sK91)
| p303(sK91)
| ! [X8] :
( p304(X8)
| ~ r1(sK91,X8) )
| ! [X9] :
( p305(X9)
| ~ r1(sK91,X9) ) )
& ( p401(sK91)
| p402(sK91)
| p403(sK91)
| p404(sK91)
| ! [X10] :
( p405(X10)
| ~ r1(sK91,X10) ) )
& ( p501(sK91)
| p502(sK91)
| p503(sK91)
| p504(sK91)
| p505(sK91) )
& ( p601(sK91)
| p602(sK91)
| p603(sK91)
| p604(sK91)
| p605(sK91) )
& ! [X11] :
( sP40(X11)
| ~ r1(sK91,X11) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK91])],[f52,f225]) ).
fof(f225,plain,
( ? [X0] :
( ( p101(X0)
| ! [X1] :
( p102(X1)
| ~ r1(X0,X1) )
| ! [X2] :
( p103(X2)
| ~ r1(X0,X2) )
| ! [X3] :
( p104(X3)
| ~ r1(X0,X3) )
| ! [X4] :
( p105(X4)
| ~ r1(X0,X4) ) )
& ( p201(X0)
| p202(X0)
| ! [X5] :
( p203(X5)
| ~ r1(X0,X5) )
| ! [X6] :
( p204(X6)
| ~ r1(X0,X6) )
| ! [X7] :
( p205(X7)
| ~ r1(X0,X7) ) )
& ( p301(X0)
| p302(X0)
| p303(X0)
| ! [X8] :
( p304(X8)
| ~ r1(X0,X8) )
| ! [X9] :
( p305(X9)
| ~ r1(X0,X9) ) )
& ( p401(X0)
| p402(X0)
| p403(X0)
| p404(X0)
| ! [X10] :
( p405(X10)
| ~ r1(X0,X10) ) )
& ( p501(X0)
| p502(X0)
| p503(X0)
| p504(X0)
| p505(X0) )
& ( p601(X0)
| p602(X0)
| p603(X0)
| p604(X0)
| p605(X0) )
& ! [X11] :
( sP40(X11)
| ~ r1(X0,X11) ) )
=> ( ( p101(sK91)
| ! [X1] :
( p102(X1)
| ~ r1(sK91,X1) )
| ! [X2] :
( p103(X2)
| ~ r1(sK91,X2) )
| ! [X3] :
( p104(X3)
| ~ r1(sK91,X3) )
| ! [X4] :
( p105(X4)
| ~ r1(sK91,X4) ) )
& ( p201(sK91)
| p202(sK91)
| ! [X5] :
( p203(X5)
| ~ r1(sK91,X5) )
| ! [X6] :
( p204(X6)
| ~ r1(sK91,X6) )
| ! [X7] :
( p205(X7)
| ~ r1(sK91,X7) ) )
& ( p301(sK91)
| p302(sK91)
| p303(sK91)
| ! [X8] :
( p304(X8)
| ~ r1(sK91,X8) )
| ! [X9] :
( p305(X9)
| ~ r1(sK91,X9) ) )
& ( p401(sK91)
| p402(sK91)
| p403(sK91)
| p404(sK91)
| ! [X10] :
( p405(X10)
| ~ r1(sK91,X10) ) )
& ( p501(sK91)
| p502(sK91)
| p503(sK91)
| p504(sK91)
| p505(sK91) )
& ( p601(sK91)
| p602(sK91)
| p603(sK91)
| p604(sK91)
| p605(sK91) )
& ! [X11] :
( sP40(X11)
| ~ r1(sK91,X11) ) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
? [X0] :
( ( p101(X0)
| ! [X1] :
( p102(X1)
| ~ r1(X0,X1) )
| ! [X2] :
( p103(X2)
| ~ r1(X0,X2) )
| ! [X3] :
( p104(X3)
| ~ r1(X0,X3) )
| ! [X4] :
( p105(X4)
| ~ r1(X0,X4) ) )
& ( p201(X0)
| p202(X0)
| ! [X5] :
( p203(X5)
| ~ r1(X0,X5) )
| ! [X6] :
( p204(X6)
| ~ r1(X0,X6) )
| ! [X7] :
( p205(X7)
| ~ r1(X0,X7) ) )
& ( p301(X0)
| p302(X0)
| p303(X0)
| ! [X8] :
( p304(X8)
| ~ r1(X0,X8) )
| ! [X9] :
( p305(X9)
| ~ r1(X0,X9) ) )
& ( p401(X0)
| p402(X0)
| p403(X0)
| p404(X0)
| ! [X10] :
( p405(X10)
| ~ r1(X0,X10) ) )
& ( p501(X0)
| p502(X0)
| p503(X0)
| p504(X0)
| p505(X0) )
& ( p601(X0)
| p602(X0)
| p603(X0)
| p604(X0)
| p605(X0) )
& ! [X11] :
( sP40(X11)
| ~ r1(X0,X11) ) ),
inference(definition_folding,[],[f8,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11]) ).
fof(f11,plain,
! [X11] :
( ! [X125] :
( ? [X126] :
( ~ p305(X126)
& r1(X125,X126) )
| ? [X127] :
( ~ p405(X127)
& r1(X125,X127) )
| ~ r1(X11,X125) )
| ~ sP0(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f12,plain,
! [X11] :
( ! [X118] :
( ? [X119] :
( ~ p205(X119)
& r1(X118,X119) )
| ? [X120] :
( ~ p405(X120)
& r1(X118,X120) )
| ~ r1(X11,X118) )
| ~ sP1(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f13,plain,
! [X11] :
( ! [X115] :
( ? [X116] :
( ~ p205(X116)
& r1(X115,X116) )
| ? [X117] :
( ~ p305(X117)
& r1(X115,X117) )
| ~ r1(X11,X115) )
| ~ sP2(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f14,plain,
! [X11] :
( ! [X108] :
( ? [X109] :
( ~ p105(X109)
& r1(X108,X109) )
| ? [X110] :
( ~ p405(X110)
& r1(X108,X110) )
| ~ r1(X11,X108) )
| ~ sP3(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f15,plain,
! [X11] :
( ! [X105] :
( ? [X106] :
( ~ p105(X106)
& r1(X105,X106) )
| ? [X107] :
( ~ p305(X107)
& r1(X105,X107) )
| ~ r1(X11,X105) )
| ~ sP4(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f16,plain,
! [X11] :
( ! [X102] :
( ? [X103] :
( ~ p105(X103)
& r1(X102,X103) )
| ? [X104] :
( ~ p205(X104)
& r1(X102,X104) )
| ~ r1(X11,X102) )
| ~ sP5(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f17,plain,
! [X11] :
( ! [X84] :
( ? [X85] :
( ~ p204(X85)
& r1(X84,X85) )
| ? [X86] :
( ~ p304(X86)
& r1(X84,X86) )
| ~ r1(X11,X84) )
| ~ sP6(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f18,plain,
! [X11] :
( ! [X75] :
( ? [X76] :
( ~ p104(X76)
& r1(X75,X76) )
| ? [X77] :
( ~ p304(X77)
& r1(X75,X77) )
| ~ r1(X11,X75) )
| ~ sP7(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f19,plain,
! [X11] :
( ! [X72] :
( ? [X73] :
( ~ p104(X73)
& r1(X72,X73) )
| ? [X74] :
( ~ p204(X74)
& r1(X72,X74) )
| ~ r1(X11,X72) )
| ~ sP8(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f20,plain,
! [X11] :
( ! [X47] :
( ? [X48] :
( ~ p103(X48)
& r1(X47,X48) )
| ? [X49] :
( ~ p203(X49)
& r1(X47,X49) )
| ~ r1(X11,X47) )
| ~ sP9(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f21,plain,
! [X11] :
( ! [X134] :
( ? [X135] :
( ~ p405(X135)
& r1(X134,X135) )
| ~ p605(X134)
| ~ r1(X11,X134) )
| ~ sP10(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f22,plain,
! [X11] :
( ! [X132] :
( ? [X133] :
( ~ p405(X133)
& r1(X132,X133) )
| ~ p505(X132)
| ~ r1(X11,X132) )
| ~ sP11(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f23,plain,
! [X11] :
( ! [X130] :
( ? [X131] :
( ~ p305(X131)
& r1(X130,X131) )
| ~ p605(X130)
| ~ r1(X11,X130) )
| ~ sP12(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f24,plain,
! [X11] :
( ! [X128] :
( ? [X129] :
( ~ p305(X129)
& r1(X128,X129) )
| ~ p505(X128)
| ~ r1(X11,X128) )
| ~ sP13(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f25,plain,
! [X11] :
( ! [X123] :
( ? [X124] :
( ~ p205(X124)
& r1(X123,X124) )
| ~ p605(X123)
| ~ r1(X11,X123) )
| ~ sP14(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f26,plain,
! [X11] :
( ! [X121] :
( ? [X122] :
( ~ p205(X122)
& r1(X121,X122) )
| ~ p505(X121)
| ~ r1(X11,X121) )
| ~ sP15(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f27,plain,
! [X11] :
( ! [X113] :
( ? [X114] :
( ~ p105(X114)
& r1(X113,X114) )
| ~ p605(X113)
| ~ r1(X11,X113) )
| ~ sP16(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f28,plain,
! [X11] :
( ! [X111] :
( ? [X112] :
( ~ p105(X112)
& r1(X111,X112) )
| ~ p505(X111)
| ~ r1(X11,X111) )
| ~ sP17(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f29,plain,
! [X11] :
( ! [X97] :
( ? [X98] :
( ~ p304(X98)
& r1(X97,X98) )
| ~ p604(X97)
| ~ r1(X11,X97) )
| ~ sP18(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f30,plain,
! [X11] :
( ! [X95] :
( ? [X96] :
( ~ p304(X96)
& r1(X95,X96) )
| ~ p504(X95)
| ~ r1(X11,X95) )
| ~ sP19(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f31,plain,
! [X11] :
( ! [X93] :
( ? [X94] :
( ~ p304(X94)
& r1(X93,X94) )
| ~ p404(X93)
| ~ r1(X11,X93) )
| ~ sP20(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f32,plain,
! [X11] :
( ! [X91] :
( ? [X92] :
( ~ p204(X92)
& r1(X91,X92) )
| ~ p604(X91)
| ~ r1(X11,X91) )
| ~ sP21(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f33,plain,
! [X11] :
( ! [X89] :
( ? [X90] :
( ~ p204(X90)
& r1(X89,X90) )
| ~ p504(X89)
| ~ r1(X11,X89) )
| ~ sP22(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f34,plain,
! [X11] :
( ! [X87] :
( ? [X88] :
( ~ p204(X88)
& r1(X87,X88) )
| ~ p404(X87)
| ~ r1(X11,X87) )
| ~ sP23(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f35,plain,
! [X11] :
( ! [X82] :
( ? [X83] :
( ~ p104(X83)
& r1(X82,X83) )
| ~ p604(X82)
| ~ r1(X11,X82) )
| ~ sP24(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f36,plain,
! [X11] :
( ! [X80] :
( ? [X81] :
( ~ p104(X81)
& r1(X80,X81) )
| ~ p504(X80)
| ~ r1(X11,X80) )
| ~ sP25(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f37,plain,
! [X11] :
( ! [X78] :
( ? [X79] :
( ~ p104(X79)
& r1(X78,X79) )
| ~ p404(X78)
| ~ r1(X11,X78) )
| ~ sP26(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f38,plain,
! [X11] :
( ! [X64] :
( ? [X65] :
( ~ p203(X65)
& r1(X64,X65) )
| ~ p603(X64)
| ~ r1(X11,X64) )
| ~ sP27(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f39,plain,
! [X11] :
( ! [X62] :
( ? [X63] :
( ~ p203(X63)
& r1(X62,X63) )
| ~ p503(X62)
| ~ r1(X11,X62) )
| ~ sP28(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f40,plain,
! [X11] :
( ! [X60] :
( ? [X61] :
( ~ p203(X61)
& r1(X60,X61) )
| ~ p403(X60)
| ~ r1(X11,X60) )
| ~ sP29(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f41,plain,
! [X11] :
( ! [X58] :
( ? [X59] :
( ~ p203(X59)
& r1(X58,X59) )
| ~ p303(X58)
| ~ r1(X11,X58) )
| ~ sP30(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f42,plain,
! [X11] :
( ! [X56] :
( ? [X57] :
( ~ p103(X57)
& r1(X56,X57) )
| ~ p603(X56)
| ~ r1(X11,X56) )
| ~ sP31(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f43,plain,
! [X11] :
( ! [X54] :
( ? [X55] :
( ~ p103(X55)
& r1(X54,X55) )
| ~ p503(X54)
| ~ r1(X11,X54) )
| ~ sP32(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f45,plain,
! [X11] :
( ! [X50] :
( ? [X51] :
( ~ p103(X51)
& r1(X50,X51) )
| ~ p303(X50)
| ~ r1(X11,X50) )
| ~ sP34(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f46,plain,
! [X11] :
( ! [X35] :
( ? [X36] :
( ~ p102(X36)
& r1(X35,X36) )
| ~ p602(X35)
| ~ r1(X11,X35) )
| ~ sP35(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f47,plain,
! [X11] :
( ! [X33] :
( ? [X34] :
( ~ p102(X34)
& r1(X33,X34) )
| ~ p502(X33)
| ~ r1(X11,X33) )
| ~ sP36(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f48,plain,
! [X11] :
( ! [X31] :
( ? [X32] :
( ~ p102(X32)
& r1(X31,X32) )
| ~ p402(X31)
| ~ r1(X11,X31) )
| ~ sP37(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f49,plain,
! [X11] :
( ! [X29] :
( ? [X30] :
( ~ p102(X30)
& r1(X29,X30) )
| ~ p302(X29)
| ~ r1(X11,X29) )
| ~ sP38(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f50,plain,
! [X11] :
( ! [X27] :
( ? [X28] :
( ~ p102(X28)
& r1(X27,X28) )
| ~ p202(X27)
| ~ r1(X11,X27) )
| ~ sP39(X11) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f8,plain,
? [X0] :
( ( p101(X0)
| ! [X1] :
( p102(X1)
| ~ r1(X0,X1) )
| ! [X2] :
( p103(X2)
| ~ r1(X0,X2) )
| ! [X3] :
( p104(X3)
| ~ r1(X0,X3) )
| ! [X4] :
( p105(X4)
| ~ r1(X0,X4) ) )
& ( p201(X0)
| p202(X0)
| ! [X5] :
( p203(X5)
| ~ r1(X0,X5) )
| ! [X6] :
( p204(X6)
| ~ r1(X0,X6) )
| ! [X7] :
( p205(X7)
| ~ r1(X0,X7) ) )
& ( p301(X0)
| p302(X0)
| p303(X0)
| ! [X8] :
( p304(X8)
| ~ r1(X0,X8) )
| ! [X9] :
( p305(X9)
| ~ r1(X0,X9) ) )
& ( p401(X0)
| p402(X0)
| p403(X0)
| p404(X0)
| ! [X10] :
( p405(X10)
| ~ r1(X0,X10) ) )
& ( p501(X0)
| p502(X0)
| p503(X0)
| p504(X0)
| p505(X0) )
& ( p601(X0)
| p602(X0)
| p603(X0)
| p604(X0)
| p605(X0) )
& ! [X11] :
( ( ! [X12] :
( ~ p101(X12)
| ~ p201(X12)
| ~ r1(X11,X12) )
& ! [X13] :
( ~ p101(X13)
| ~ p301(X13)
| ~ r1(X11,X13) )
& ! [X14] :
( ~ p101(X14)
| ~ p401(X14)
| ~ r1(X11,X14) )
& ! [X15] :
( ~ p101(X15)
| ~ p501(X15)
| ~ r1(X11,X15) )
& ! [X16] :
( ~ p101(X16)
| ~ p601(X16)
| ~ r1(X11,X16) )
& ! [X17] :
( ~ p201(X17)
| ~ p301(X17)
| ~ r1(X11,X17) )
& ! [X18] :
( ~ p201(X18)
| ~ p401(X18)
| ~ r1(X11,X18) )
& ! [X19] :
( ~ p201(X19)
| ~ p501(X19)
| ~ r1(X11,X19) )
& ! [X20] :
( ~ p201(X20)
| ~ p601(X20)
| ~ r1(X11,X20) )
& ! [X21] :
( ~ p301(X21)
| ~ p401(X21)
| ~ r1(X11,X21) )
& ! [X22] :
( ~ p301(X22)
| ~ p501(X22)
| ~ r1(X11,X22) )
& ! [X23] :
( ~ p301(X23)
| ~ p601(X23)
| ~ r1(X11,X23) )
& ! [X24] :
( ~ p401(X24)
| ~ p501(X24)
| ~ r1(X11,X24) )
& ! [X25] :
( ~ p401(X25)
| ~ p601(X25)
| ~ r1(X11,X25) )
& ! [X26] :
( ~ p501(X26)
| ~ p601(X26)
| ~ r1(X11,X26) )
& ! [X27] :
( ? [X28] :
( ~ p102(X28)
& r1(X27,X28) )
| ~ p202(X27)
| ~ r1(X11,X27) )
& ! [X29] :
( ? [X30] :
( ~ p102(X30)
& r1(X29,X30) )
| ~ p302(X29)
| ~ r1(X11,X29) )
& ! [X31] :
( ? [X32] :
( ~ p102(X32)
& r1(X31,X32) )
| ~ p402(X31)
| ~ r1(X11,X31) )
& ! [X33] :
( ? [X34] :
( ~ p102(X34)
& r1(X33,X34) )
| ~ p502(X33)
| ~ r1(X11,X33) )
& ! [X35] :
( ? [X36] :
( ~ p102(X36)
& r1(X35,X36) )
| ~ p602(X35)
| ~ r1(X11,X35) )
& ! [X37] :
( ~ p202(X37)
| ~ p302(X37)
| ~ r1(X11,X37) )
& ! [X38] :
( ~ p202(X38)
| ~ p402(X38)
| ~ r1(X11,X38) )
& ! [X39] :
( ~ p202(X39)
| ~ p502(X39)
| ~ r1(X11,X39) )
& ! [X40] :
( ~ p202(X40)
| ~ p602(X40)
| ~ r1(X11,X40) )
& ! [X41] :
( ~ p302(X41)
| ~ p402(X41)
| ~ r1(X11,X41) )
& ! [X42] :
( ~ p302(X42)
| ~ p502(X42)
| ~ r1(X11,X42) )
& ! [X43] :
( ~ p302(X43)
| ~ p602(X43)
| ~ r1(X11,X43) )
& ! [X44] :
( ~ p402(X44)
| ~ p502(X44)
| ~ r1(X11,X44) )
& ! [X45] :
( ~ p402(X45)
| ~ p602(X45)
| ~ r1(X11,X45) )
& ! [X46] :
( ~ p502(X46)
| ~ p602(X46)
| ~ r1(X11,X46) )
& ! [X47] :
( ? [X48] :
( ~ p103(X48)
& r1(X47,X48) )
| ? [X49] :
( ~ p203(X49)
& r1(X47,X49) )
| ~ r1(X11,X47) )
& ! [X50] :
( ? [X51] :
( ~ p103(X51)
& r1(X50,X51) )
| ~ p303(X50)
| ~ r1(X11,X50) )
& ! [X52] :
( ? [X53] :
( ~ p103(X53)
& r1(X52,X53) )
| ~ p403(X52)
| ~ r1(X11,X52) )
& ! [X54] :
( ? [X55] :
( ~ p103(X55)
& r1(X54,X55) )
| ~ p503(X54)
| ~ r1(X11,X54) )
& ! [X56] :
( ? [X57] :
( ~ p103(X57)
& r1(X56,X57) )
| ~ p603(X56)
| ~ r1(X11,X56) )
& ! [X58] :
( ? [X59] :
( ~ p203(X59)
& r1(X58,X59) )
| ~ p303(X58)
| ~ r1(X11,X58) )
& ! [X60] :
( ? [X61] :
( ~ p203(X61)
& r1(X60,X61) )
| ~ p403(X60)
| ~ r1(X11,X60) )
& ! [X62] :
( ? [X63] :
( ~ p203(X63)
& r1(X62,X63) )
| ~ p503(X62)
| ~ r1(X11,X62) )
& ! [X64] :
( ? [X65] :
( ~ p203(X65)
& r1(X64,X65) )
| ~ p603(X64)
| ~ r1(X11,X64) )
& ! [X66] :
( ~ p303(X66)
| ~ p403(X66)
| ~ r1(X11,X66) )
& ! [X67] :
( ~ p303(X67)
| ~ p503(X67)
| ~ r1(X11,X67) )
& ! [X68] :
( ~ p303(X68)
| ~ p603(X68)
| ~ r1(X11,X68) )
& ! [X69] :
( ~ p403(X69)
| ~ p503(X69)
| ~ r1(X11,X69) )
& ! [X70] :
( ~ p403(X70)
| ~ p603(X70)
| ~ r1(X11,X70) )
& ! [X71] :
( ~ p503(X71)
| ~ p603(X71)
| ~ r1(X11,X71) )
& ! [X72] :
( ? [X73] :
( ~ p104(X73)
& r1(X72,X73) )
| ? [X74] :
( ~ p204(X74)
& r1(X72,X74) )
| ~ r1(X11,X72) )
& ! [X75] :
( ? [X76] :
( ~ p104(X76)
& r1(X75,X76) )
| ? [X77] :
( ~ p304(X77)
& r1(X75,X77) )
| ~ r1(X11,X75) )
& ! [X78] :
( ? [X79] :
( ~ p104(X79)
& r1(X78,X79) )
| ~ p404(X78)
| ~ r1(X11,X78) )
& ! [X80] :
( ? [X81] :
( ~ p104(X81)
& r1(X80,X81) )
| ~ p504(X80)
| ~ r1(X11,X80) )
& ! [X82] :
( ? [X83] :
( ~ p104(X83)
& r1(X82,X83) )
| ~ p604(X82)
| ~ r1(X11,X82) )
& ! [X84] :
( ? [X85] :
( ~ p204(X85)
& r1(X84,X85) )
| ? [X86] :
( ~ p304(X86)
& r1(X84,X86) )
| ~ r1(X11,X84) )
& ! [X87] :
( ? [X88] :
( ~ p204(X88)
& r1(X87,X88) )
| ~ p404(X87)
| ~ r1(X11,X87) )
& ! [X89] :
( ? [X90] :
( ~ p204(X90)
& r1(X89,X90) )
| ~ p504(X89)
| ~ r1(X11,X89) )
& ! [X91] :
( ? [X92] :
( ~ p204(X92)
& r1(X91,X92) )
| ~ p604(X91)
| ~ r1(X11,X91) )
& ! [X93] :
( ? [X94] :
( ~ p304(X94)
& r1(X93,X94) )
| ~ p404(X93)
| ~ r1(X11,X93) )
& ! [X95] :
( ? [X96] :
( ~ p304(X96)
& r1(X95,X96) )
| ~ p504(X95)
| ~ r1(X11,X95) )
& ! [X97] :
( ? [X98] :
( ~ p304(X98)
& r1(X97,X98) )
| ~ p604(X97)
| ~ r1(X11,X97) )
& ! [X99] :
( ~ p404(X99)
| ~ p504(X99)
| ~ r1(X11,X99) )
& ! [X100] :
( ~ p404(X100)
| ~ p604(X100)
| ~ r1(X11,X100) )
& ! [X101] :
( ~ p504(X101)
| ~ p604(X101)
| ~ r1(X11,X101) )
& ! [X102] :
( ? [X103] :
( ~ p105(X103)
& r1(X102,X103) )
| ? [X104] :
( ~ p205(X104)
& r1(X102,X104) )
| ~ r1(X11,X102) )
& ! [X105] :
( ? [X106] :
( ~ p105(X106)
& r1(X105,X106) )
| ? [X107] :
( ~ p305(X107)
& r1(X105,X107) )
| ~ r1(X11,X105) )
& ! [X108] :
( ? [X109] :
( ~ p105(X109)
& r1(X108,X109) )
| ? [X110] :
( ~ p405(X110)
& r1(X108,X110) )
| ~ r1(X11,X108) )
& ! [X111] :
( ? [X112] :
( ~ p105(X112)
& r1(X111,X112) )
| ~ p505(X111)
| ~ r1(X11,X111) )
& ! [X113] :
( ? [X114] :
( ~ p105(X114)
& r1(X113,X114) )
| ~ p605(X113)
| ~ r1(X11,X113) )
& ! [X115] :
( ? [X116] :
( ~ p205(X116)
& r1(X115,X116) )
| ? [X117] :
( ~ p305(X117)
& r1(X115,X117) )
| ~ r1(X11,X115) )
& ! [X118] :
( ? [X119] :
( ~ p205(X119)
& r1(X118,X119) )
| ? [X120] :
( ~ p405(X120)
& r1(X118,X120) )
| ~ r1(X11,X118) )
& ! [X121] :
( ? [X122] :
( ~ p205(X122)
& r1(X121,X122) )
| ~ p505(X121)
| ~ r1(X11,X121) )
& ! [X123] :
( ? [X124] :
( ~ p205(X124)
& r1(X123,X124) )
| ~ p605(X123)
| ~ r1(X11,X123) )
& ! [X125] :
( ? [X126] :
( ~ p305(X126)
& r1(X125,X126) )
| ? [X127] :
( ~ p405(X127)
& r1(X125,X127) )
| ~ r1(X11,X125) )
& ! [X128] :
( ? [X129] :
( ~ p305(X129)
& r1(X128,X129) )
| ~ p505(X128)
| ~ r1(X11,X128) )
& ! [X130] :
( ? [X131] :
( ~ p305(X131)
& r1(X130,X131) )
| ~ p605(X130)
| ~ r1(X11,X130) )
& ! [X132] :
( ? [X133] :
( ~ p405(X133)
& r1(X132,X133) )
| ~ p505(X132)
| ~ r1(X11,X132) )
& ! [X134] :
( ? [X135] :
( ~ p405(X135)
& r1(X134,X135) )
| ~ p605(X134)
| ~ r1(X11,X134) )
& ! [X136] :
( ~ p505(X136)
| ~ p605(X136)
| ~ r1(X11,X136) ) )
| ~ r1(X0,X11) ) ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
? [X0] :
( ( p101(X0)
| ! [X1] :
( p102(X1)
| ~ r1(X0,X1) )
| ! [X2] :
( p103(X2)
| ~ r1(X0,X2) )
| ! [X3] :
( p104(X3)
| ~ r1(X0,X3) )
| ! [X4] :
( p105(X4)
| ~ r1(X0,X4) ) )
& ( p201(X0)
| p202(X0)
| ! [X5] :
( p203(X5)
| ~ r1(X0,X5) )
| ! [X6] :
( p204(X6)
| ~ r1(X0,X6) )
| ! [X7] :
( p205(X7)
| ~ r1(X0,X7) ) )
& ( p301(X0)
| p302(X0)
| p303(X0)
| ! [X8] :
( p304(X8)
| ~ r1(X0,X8) )
| ! [X9] :
( p305(X9)
| ~ r1(X0,X9) ) )
& ( p401(X0)
| p402(X0)
| p403(X0)
| p404(X0)
| ! [X10] :
( p405(X10)
| ~ r1(X0,X10) ) )
& ( p501(X0)
| p502(X0)
| p503(X0)
| p504(X0)
| p505(X0) )
& ( p601(X0)
| p602(X0)
| p603(X0)
| p604(X0)
| p605(X0) )
& ! [X11] :
( ( ! [X12] :
( ~ p101(X12)
| ~ p201(X12)
| ~ r1(X11,X12) )
& ! [X13] :
( ~ p101(X13)
| ~ p301(X13)
| ~ r1(X11,X13) )
& ! [X14] :
( ~ p101(X14)
| ~ p401(X14)
| ~ r1(X11,X14) )
& ! [X15] :
( ~ p101(X15)
| ~ p501(X15)
| ~ r1(X11,X15) )
& ! [X16] :
( ~ p101(X16)
| ~ p601(X16)
| ~ r1(X11,X16) )
& ! [X17] :
( ~ p201(X17)
| ~ p301(X17)
| ~ r1(X11,X17) )
& ! [X18] :
( ~ p201(X18)
| ~ p401(X18)
| ~ r1(X11,X18) )
& ! [X19] :
( ~ p201(X19)
| ~ p501(X19)
| ~ r1(X11,X19) )
& ! [X20] :
( ~ p201(X20)
| ~ p601(X20)
| ~ r1(X11,X20) )
& ! [X21] :
( ~ p301(X21)
| ~ p401(X21)
| ~ r1(X11,X21) )
& ! [X22] :
( ~ p301(X22)
| ~ p501(X22)
| ~ r1(X11,X22) )
& ! [X23] :
( ~ p301(X23)
| ~ p601(X23)
| ~ r1(X11,X23) )
& ! [X24] :
( ~ p401(X24)
| ~ p501(X24)
| ~ r1(X11,X24) )
& ! [X25] :
( ~ p401(X25)
| ~ p601(X25)
| ~ r1(X11,X25) )
& ! [X26] :
( ~ p501(X26)
| ~ p601(X26)
| ~ r1(X11,X26) )
& ! [X27] :
( ? [X28] :
( ~ p102(X28)
& r1(X27,X28) )
| ~ p202(X27)
| ~ r1(X11,X27) )
& ! [X29] :
( ? [X30] :
( ~ p102(X30)
& r1(X29,X30) )
| ~ p302(X29)
| ~ r1(X11,X29) )
& ! [X31] :
( ? [X32] :
( ~ p102(X32)
& r1(X31,X32) )
| ~ p402(X31)
| ~ r1(X11,X31) )
& ! [X33] :
( ? [X34] :
( ~ p102(X34)
& r1(X33,X34) )
| ~ p502(X33)
| ~ r1(X11,X33) )
& ! [X35] :
( ? [X36] :
( ~ p102(X36)
& r1(X35,X36) )
| ~ p602(X35)
| ~ r1(X11,X35) )
& ! [X37] :
( ~ p202(X37)
| ~ p302(X37)
| ~ r1(X11,X37) )
& ! [X38] :
( ~ p202(X38)
| ~ p402(X38)
| ~ r1(X11,X38) )
& ! [X39] :
( ~ p202(X39)
| ~ p502(X39)
| ~ r1(X11,X39) )
& ! [X40] :
( ~ p202(X40)
| ~ p602(X40)
| ~ r1(X11,X40) )
& ! [X41] :
( ~ p302(X41)
| ~ p402(X41)
| ~ r1(X11,X41) )
& ! [X42] :
( ~ p302(X42)
| ~ p502(X42)
| ~ r1(X11,X42) )
& ! [X43] :
( ~ p302(X43)
| ~ p602(X43)
| ~ r1(X11,X43) )
& ! [X44] :
( ~ p402(X44)
| ~ p502(X44)
| ~ r1(X11,X44) )
& ! [X45] :
( ~ p402(X45)
| ~ p602(X45)
| ~ r1(X11,X45) )
& ! [X46] :
( ~ p502(X46)
| ~ p602(X46)
| ~ r1(X11,X46) )
& ! [X47] :
( ? [X48] :
( ~ p103(X48)
& r1(X47,X48) )
| ? [X49] :
( ~ p203(X49)
& r1(X47,X49) )
| ~ r1(X11,X47) )
& ! [X50] :
( ? [X51] :
( ~ p103(X51)
& r1(X50,X51) )
| ~ p303(X50)
| ~ r1(X11,X50) )
& ! [X52] :
( ? [X53] :
( ~ p103(X53)
& r1(X52,X53) )
| ~ p403(X52)
| ~ r1(X11,X52) )
& ! [X54] :
( ? [X55] :
( ~ p103(X55)
& r1(X54,X55) )
| ~ p503(X54)
| ~ r1(X11,X54) )
& ! [X56] :
( ? [X57] :
( ~ p103(X57)
& r1(X56,X57) )
| ~ p603(X56)
| ~ r1(X11,X56) )
& ! [X58] :
( ? [X59] :
( ~ p203(X59)
& r1(X58,X59) )
| ~ p303(X58)
| ~ r1(X11,X58) )
& ! [X60] :
( ? [X61] :
( ~ p203(X61)
& r1(X60,X61) )
| ~ p403(X60)
| ~ r1(X11,X60) )
& ! [X62] :
( ? [X63] :
( ~ p203(X63)
& r1(X62,X63) )
| ~ p503(X62)
| ~ r1(X11,X62) )
& ! [X64] :
( ? [X65] :
( ~ p203(X65)
& r1(X64,X65) )
| ~ p603(X64)
| ~ r1(X11,X64) )
& ! [X66] :
( ~ p303(X66)
| ~ p403(X66)
| ~ r1(X11,X66) )
& ! [X67] :
( ~ p303(X67)
| ~ p503(X67)
| ~ r1(X11,X67) )
& ! [X68] :
( ~ p303(X68)
| ~ p603(X68)
| ~ r1(X11,X68) )
& ! [X69] :
( ~ p403(X69)
| ~ p503(X69)
| ~ r1(X11,X69) )
& ! [X70] :
( ~ p403(X70)
| ~ p603(X70)
| ~ r1(X11,X70) )
& ! [X71] :
( ~ p503(X71)
| ~ p603(X71)
| ~ r1(X11,X71) )
& ! [X72] :
( ? [X73] :
( ~ p104(X73)
& r1(X72,X73) )
| ? [X74] :
( ~ p204(X74)
& r1(X72,X74) )
| ~ r1(X11,X72) )
& ! [X75] :
( ? [X76] :
( ~ p104(X76)
& r1(X75,X76) )
| ? [X77] :
( ~ p304(X77)
& r1(X75,X77) )
| ~ r1(X11,X75) )
& ! [X78] :
( ? [X79] :
( ~ p104(X79)
& r1(X78,X79) )
| ~ p404(X78)
| ~ r1(X11,X78) )
& ! [X80] :
( ? [X81] :
( ~ p104(X81)
& r1(X80,X81) )
| ~ p504(X80)
| ~ r1(X11,X80) )
& ! [X82] :
( ? [X83] :
( ~ p104(X83)
& r1(X82,X83) )
| ~ p604(X82)
| ~ r1(X11,X82) )
& ! [X84] :
( ? [X85] :
( ~ p204(X85)
& r1(X84,X85) )
| ? [X86] :
( ~ p304(X86)
& r1(X84,X86) )
| ~ r1(X11,X84) )
& ! [X87] :
( ? [X88] :
( ~ p204(X88)
& r1(X87,X88) )
| ~ p404(X87)
| ~ r1(X11,X87) )
& ! [X89] :
( ? [X90] :
( ~ p204(X90)
& r1(X89,X90) )
| ~ p504(X89)
| ~ r1(X11,X89) )
& ! [X91] :
( ? [X92] :
( ~ p204(X92)
& r1(X91,X92) )
| ~ p604(X91)
| ~ r1(X11,X91) )
& ! [X93] :
( ? [X94] :
( ~ p304(X94)
& r1(X93,X94) )
| ~ p404(X93)
| ~ r1(X11,X93) )
& ! [X95] :
( ? [X96] :
( ~ p304(X96)
& r1(X95,X96) )
| ~ p504(X95)
| ~ r1(X11,X95) )
& ! [X97] :
( ? [X98] :
( ~ p304(X98)
& r1(X97,X98) )
| ~ p604(X97)
| ~ r1(X11,X97) )
& ! [X99] :
( ~ p404(X99)
| ~ p504(X99)
| ~ r1(X11,X99) )
& ! [X100] :
( ~ p404(X100)
| ~ p604(X100)
| ~ r1(X11,X100) )
& ! [X101] :
( ~ p504(X101)
| ~ p604(X101)
| ~ r1(X11,X101) )
& ! [X102] :
( ? [X103] :
( ~ p105(X103)
& r1(X102,X103) )
| ? [X104] :
( ~ p205(X104)
& r1(X102,X104) )
| ~ r1(X11,X102) )
& ! [X105] :
( ? [X106] :
( ~ p105(X106)
& r1(X105,X106) )
| ? [X107] :
( ~ p305(X107)
& r1(X105,X107) )
| ~ r1(X11,X105) )
& ! [X108] :
( ? [X109] :
( ~ p105(X109)
& r1(X108,X109) )
| ? [X110] :
( ~ p405(X110)
& r1(X108,X110) )
| ~ r1(X11,X108) )
& ! [X111] :
( ? [X112] :
( ~ p105(X112)
& r1(X111,X112) )
| ~ p505(X111)
| ~ r1(X11,X111) )
& ! [X113] :
( ? [X114] :
( ~ p105(X114)
& r1(X113,X114) )
| ~ p605(X113)
| ~ r1(X11,X113) )
& ! [X115] :
( ? [X116] :
( ~ p205(X116)
& r1(X115,X116) )
| ? [X117] :
( ~ p305(X117)
& r1(X115,X117) )
| ~ r1(X11,X115) )
& ! [X118] :
( ? [X119] :
( ~ p205(X119)
& r1(X118,X119) )
| ? [X120] :
( ~ p405(X120)
& r1(X118,X120) )
| ~ r1(X11,X118) )
& ! [X121] :
( ? [X122] :
( ~ p205(X122)
& r1(X121,X122) )
| ~ p505(X121)
| ~ r1(X11,X121) )
& ! [X123] :
( ? [X124] :
( ~ p205(X124)
& r1(X123,X124) )
| ~ p605(X123)
| ~ r1(X11,X123) )
& ! [X125] :
( ? [X126] :
( ~ p305(X126)
& r1(X125,X126) )
| ? [X127] :
( ~ p405(X127)
& r1(X125,X127) )
| ~ r1(X11,X125) )
& ! [X128] :
( ? [X129] :
( ~ p305(X129)
& r1(X128,X129) )
| ~ p505(X128)
| ~ r1(X11,X128) )
& ! [X130] :
( ? [X131] :
( ~ p305(X131)
& r1(X130,X131) )
| ~ p605(X130)
| ~ r1(X11,X130) )
& ! [X132] :
( ? [X133] :
( ~ p405(X133)
& r1(X132,X133) )
| ~ p505(X132)
| ~ r1(X11,X132) )
& ! [X134] :
( ? [X135] :
( ~ p405(X135)
& r1(X134,X135) )
| ~ p605(X134)
| ~ r1(X11,X134) )
& ! [X136] :
( ~ p505(X136)
| ~ p605(X136)
| ~ r1(X11,X136) ) )
| ~ r1(X0,X11) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ( ( p101(X0)
| ! [X1] :
( p102(X1)
| ~ r1(X0,X1) )
| ! [X2] :
( p103(X2)
| ~ r1(X0,X2) )
| ! [X3] :
( p104(X3)
| ~ r1(X0,X3) )
| ! [X4] :
( p105(X4)
| ~ r1(X0,X4) ) )
& ( p201(X0)
| p202(X0)
| ! [X5] :
( p203(X5)
| ~ r1(X0,X5) )
| ! [X6] :
( p204(X6)
| ~ r1(X0,X6) )
| ! [X7] :
( p205(X7)
| ~ r1(X0,X7) ) )
& ( p301(X0)
| p302(X0)
| p303(X0)
| ! [X8] :
( p304(X8)
| ~ r1(X0,X8) )
| ! [X9] :
( p305(X9)
| ~ r1(X0,X9) ) )
& ( p401(X0)
| p402(X0)
| p403(X0)
| p404(X0)
| ! [X10] :
( p405(X10)
| ~ r1(X0,X10) ) )
& ( p501(X0)
| p502(X0)
| p503(X0)
| p504(X0)
| p505(X0) )
& ( p601(X0)
| p602(X0)
| p603(X0)
| p604(X0)
| p605(X0) ) )
| ~ ! [X11] :
( ~ ( ~ ! [X12] :
( ~ ( p101(X12)
& p201(X12) )
| ~ r1(X11,X12) )
| ~ ! [X13] :
( ~ ( p101(X13)
& p301(X13) )
| ~ r1(X11,X13) )
| ~ ! [X14] :
( ~ ( p101(X14)
& p401(X14) )
| ~ r1(X11,X14) )
| ~ ! [X15] :
( ~ ( p101(X15)
& p501(X15) )
| ~ r1(X11,X15) )
| ~ ! [X16] :
( ~ ( p101(X16)
& p601(X16) )
| ~ r1(X11,X16) )
| ~ ! [X17] :
( ~ ( p201(X17)
& p301(X17) )
| ~ r1(X11,X17) )
| ~ ! [X18] :
( ~ ( p201(X18)
& p401(X18) )
| ~ r1(X11,X18) )
| ~ ! [X19] :
( ~ ( p201(X19)
& p501(X19) )
| ~ r1(X11,X19) )
| ~ ! [X20] :
( ~ ( p201(X20)
& p601(X20) )
| ~ r1(X11,X20) )
| ~ ! [X21] :
( ~ ( p301(X21)
& p401(X21) )
| ~ r1(X11,X21) )
| ~ ! [X22] :
( ~ ( p301(X22)
& p501(X22) )
| ~ r1(X11,X22) )
| ~ ! [X23] :
( ~ ( p301(X23)
& p601(X23) )
| ~ r1(X11,X23) )
| ~ ! [X24] :
( ~ ( p401(X24)
& p501(X24) )
| ~ r1(X11,X24) )
| ~ ! [X25] :
( ~ ( p401(X25)
& p601(X25) )
| ~ r1(X11,X25) )
| ~ ! [X26] :
( ~ ( p501(X26)
& p601(X26) )
| ~ r1(X11,X26) )
| ~ ! [X27] :
( ~ ( ! [X28] :
( p102(X28)
| ~ r1(X27,X28) )
& p202(X27) )
| ~ r1(X11,X27) )
| ~ ! [X29] :
( ~ ( ! [X30] :
( p102(X30)
| ~ r1(X29,X30) )
& p302(X29) )
| ~ r1(X11,X29) )
| ~ ! [X31] :
( ~ ( ! [X32] :
( p102(X32)
| ~ r1(X31,X32) )
& p402(X31) )
| ~ r1(X11,X31) )
| ~ ! [X33] :
( ~ ( ! [X34] :
( p102(X34)
| ~ r1(X33,X34) )
& p502(X33) )
| ~ r1(X11,X33) )
| ~ ! [X35] :
( ~ ( ! [X36] :
( p102(X36)
| ~ r1(X35,X36) )
& p602(X35) )
| ~ r1(X11,X35) )
| ~ ! [X37] :
( ~ ( p202(X37)
& p302(X37) )
| ~ r1(X11,X37) )
| ~ ! [X38] :
( ~ ( p202(X38)
& p402(X38) )
| ~ r1(X11,X38) )
| ~ ! [X39] :
( ~ ( p202(X39)
& p502(X39) )
| ~ r1(X11,X39) )
| ~ ! [X40] :
( ~ ( p202(X40)
& p602(X40) )
| ~ r1(X11,X40) )
| ~ ! [X41] :
( ~ ( p302(X41)
& p402(X41) )
| ~ r1(X11,X41) )
| ~ ! [X42] :
( ~ ( p302(X42)
& p502(X42) )
| ~ r1(X11,X42) )
| ~ ! [X43] :
( ~ ( p302(X43)
& p602(X43) )
| ~ r1(X11,X43) )
| ~ ! [X44] :
( ~ ( p402(X44)
& p502(X44) )
| ~ r1(X11,X44) )
| ~ ! [X45] :
( ~ ( p402(X45)
& p602(X45) )
| ~ r1(X11,X45) )
| ~ ! [X46] :
( ~ ( p502(X46)
& p602(X46) )
| ~ r1(X11,X46) )
| ~ ! [X47] :
( ~ ( ! [X48] :
( p103(X48)
| ~ r1(X47,X48) )
& ! [X49] :
( p203(X49)
| ~ r1(X47,X49) ) )
| ~ r1(X11,X47) )
| ~ ! [X50] :
( ~ ( ! [X51] :
( p103(X51)
| ~ r1(X50,X51) )
& p303(X50) )
| ~ r1(X11,X50) )
| ~ ! [X52] :
( ~ ( ! [X53] :
( p103(X53)
| ~ r1(X52,X53) )
& p403(X52) )
| ~ r1(X11,X52) )
| ~ ! [X54] :
( ~ ( ! [X55] :
( p103(X55)
| ~ r1(X54,X55) )
& p503(X54) )
| ~ r1(X11,X54) )
| ~ ! [X56] :
( ~ ( ! [X57] :
( p103(X57)
| ~ r1(X56,X57) )
& p603(X56) )
| ~ r1(X11,X56) )
| ~ ! [X58] :
( ~ ( ! [X59] :
( p203(X59)
| ~ r1(X58,X59) )
& p303(X58) )
| ~ r1(X11,X58) )
| ~ ! [X60] :
( ~ ( ! [X61] :
( p203(X61)
| ~ r1(X60,X61) )
& p403(X60) )
| ~ r1(X11,X60) )
| ~ ! [X62] :
( ~ ( ! [X63] :
( p203(X63)
| ~ r1(X62,X63) )
& p503(X62) )
| ~ r1(X11,X62) )
| ~ ! [X64] :
( ~ ( ! [X65] :
( p203(X65)
| ~ r1(X64,X65) )
& p603(X64) )
| ~ r1(X11,X64) )
| ~ ! [X66] :
( ~ ( p303(X66)
& p403(X66) )
| ~ r1(X11,X66) )
| ~ ! [X67] :
( ~ ( p303(X67)
& p503(X67) )
| ~ r1(X11,X67) )
| ~ ! [X68] :
( ~ ( p303(X68)
& p603(X68) )
| ~ r1(X11,X68) )
| ~ ! [X69] :
( ~ ( p403(X69)
& p503(X69) )
| ~ r1(X11,X69) )
| ~ ! [X70] :
( ~ ( p403(X70)
& p603(X70) )
| ~ r1(X11,X70) )
| ~ ! [X71] :
( ~ ( p503(X71)
& p603(X71) )
| ~ r1(X11,X71) )
| ~ ! [X72] :
( ~ ( ! [X73] :
( p104(X73)
| ~ r1(X72,X73) )
& ! [X74] :
( p204(X74)
| ~ r1(X72,X74) ) )
| ~ r1(X11,X72) )
| ~ ! [X75] :
( ~ ( ! [X76] :
( p104(X76)
| ~ r1(X75,X76) )
& ! [X77] :
( p304(X77)
| ~ r1(X75,X77) ) )
| ~ r1(X11,X75) )
| ~ ! [X78] :
( ~ ( ! [X79] :
( p104(X79)
| ~ r1(X78,X79) )
& p404(X78) )
| ~ r1(X11,X78) )
| ~ ! [X80] :
( ~ ( ! [X81] :
( p104(X81)
| ~ r1(X80,X81) )
& p504(X80) )
| ~ r1(X11,X80) )
| ~ ! [X82] :
( ~ ( ! [X83] :
( p104(X83)
| ~ r1(X82,X83) )
& p604(X82) )
| ~ r1(X11,X82) )
| ~ ! [X84] :
( ~ ( ! [X85] :
( p204(X85)
| ~ r1(X84,X85) )
& ! [X86] :
( p304(X86)
| ~ r1(X84,X86) ) )
| ~ r1(X11,X84) )
| ~ ! [X87] :
( ~ ( ! [X88] :
( p204(X88)
| ~ r1(X87,X88) )
& p404(X87) )
| ~ r1(X11,X87) )
| ~ ! [X89] :
( ~ ( ! [X90] :
( p204(X90)
| ~ r1(X89,X90) )
& p504(X89) )
| ~ r1(X11,X89) )
| ~ ! [X91] :
( ~ ( ! [X92] :
( p204(X92)
| ~ r1(X91,X92) )
& p604(X91) )
| ~ r1(X11,X91) )
| ~ ! [X93] :
( ~ ( ! [X94] :
( p304(X94)
| ~ r1(X93,X94) )
& p404(X93) )
| ~ r1(X11,X93) )
| ~ ! [X95] :
( ~ ( ! [X96] :
( p304(X96)
| ~ r1(X95,X96) )
& p504(X95) )
| ~ r1(X11,X95) )
| ~ ! [X97] :
( ~ ( ! [X98] :
( p304(X98)
| ~ r1(X97,X98) )
& p604(X97) )
| ~ r1(X11,X97) )
| ~ ! [X99] :
( ~ ( p404(X99)
& p504(X99) )
| ~ r1(X11,X99) )
| ~ ! [X100] :
( ~ ( p404(X100)
& p604(X100) )
| ~ r1(X11,X100) )
| ~ ! [X101] :
( ~ ( p504(X101)
& p604(X101) )
| ~ r1(X11,X101) )
| ~ ! [X102] :
( ~ ( ! [X103] :
( p105(X103)
| ~ r1(X102,X103) )
& ! [X104] :
( p205(X104)
| ~ r1(X102,X104) ) )
| ~ r1(X11,X102) )
| ~ ! [X105] :
( ~ ( ! [X106] :
( p105(X106)
| ~ r1(X105,X106) )
& ! [X107] :
( p305(X107)
| ~ r1(X105,X107) ) )
| ~ r1(X11,X105) )
| ~ ! [X108] :
( ~ ( ! [X109] :
( p105(X109)
| ~ r1(X108,X109) )
& ! [X110] :
( p405(X110)
| ~ r1(X108,X110) ) )
| ~ r1(X11,X108) )
| ~ ! [X111] :
( ~ ( ! [X112] :
( p105(X112)
| ~ r1(X111,X112) )
& p505(X111) )
| ~ r1(X11,X111) )
| ~ ! [X113] :
( ~ ( ! [X114] :
( p105(X114)
| ~ r1(X113,X114) )
& p605(X113) )
| ~ r1(X11,X113) )
| ~ ! [X115] :
( ~ ( ! [X116] :
( p205(X116)
| ~ r1(X115,X116) )
& ! [X117] :
( p305(X117)
| ~ r1(X115,X117) ) )
| ~ r1(X11,X115) )
| ~ ! [X118] :
( ~ ( ! [X119] :
( p205(X119)
| ~ r1(X118,X119) )
& ! [X120] :
( p405(X120)
| ~ r1(X118,X120) ) )
| ~ r1(X11,X118) )
| ~ ! [X121] :
( ~ ( ! [X122] :
( p205(X122)
| ~ r1(X121,X122) )
& p505(X121) )
| ~ r1(X11,X121) )
| ~ ! [X123] :
( ~ ( ! [X124] :
( p205(X124)
| ~ r1(X123,X124) )
& p605(X123) )
| ~ r1(X11,X123) )
| ~ ! [X125] :
( ~ ( ! [X126] :
( p305(X126)
| ~ r1(X125,X126) )
& ! [X127] :
( p405(X127)
| ~ r1(X125,X127) ) )
| ~ r1(X11,X125) )
| ~ ! [X128] :
( ~ ( ! [X129] :
( p305(X129)
| ~ r1(X128,X129) )
& p505(X128) )
| ~ r1(X11,X128) )
| ~ ! [X130] :
( ~ ( ! [X131] :
( p305(X131)
| ~ r1(X130,X131) )
& p605(X130) )
| ~ r1(X11,X130) )
| ~ ! [X132] :
( ~ ( ! [X133] :
( p405(X133)
| ~ r1(X132,X133) )
& p505(X132) )
| ~ r1(X11,X132) )
| ~ ! [X134] :
( ~ ( ! [X135] :
( p405(X135)
| ~ r1(X134,X135) )
& p605(X134) )
| ~ r1(X11,X134) )
| ~ ! [X136] :
( ~ ( p505(X136)
& p605(X136) )
| ~ r1(X11,X136) ) )
| ~ r1(X0,X11) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ~ ( ( p101(X0)
| ! [X1] :
( p102(X1)
| ~ r1(X0,X1) )
| ! [X2] :
( p103(X2)
| ~ r1(X0,X2) )
| ! [X3] :
( p104(X3)
| ~ r1(X0,X3) )
| ! [X4] :
( p105(X4)
| ~ r1(X0,X4) ) )
& ( p201(X0)
| p202(X0)
| ! [X5] :
( p203(X5)
| ~ r1(X0,X5) )
| ! [X6] :
( p204(X6)
| ~ r1(X0,X6) )
| ! [X7] :
( p205(X7)
| ~ r1(X0,X7) ) )
& ( p301(X0)
| p302(X0)
| p303(X0)
| ! [X8] :
( p304(X8)
| ~ r1(X0,X8) )
| ! [X9] :
( p305(X9)
| ~ r1(X0,X9) ) )
& ( p401(X0)
| p402(X0)
| p403(X0)
| p404(X0)
| ! [X10] :
( p405(X10)
| ~ r1(X0,X10) ) )
& ( p501(X0)
| p502(X0)
| p503(X0)
| p504(X0)
| p505(X0) )
& ( p601(X0)
| p602(X0)
| p603(X0)
| p604(X0)
| p605(X0) ) )
| ~ ! [X11] :
( ~ ( ~ ! [X12] :
( ~ ( p101(X12)
& p201(X12) )
| ~ r1(X11,X12) )
| ~ ! [X13] :
( ~ ( p101(X13)
& p301(X13) )
| ~ r1(X11,X13) )
| ~ ! [X14] :
( ~ ( p101(X14)
& p401(X14) )
| ~ r1(X11,X14) )
| ~ ! [X15] :
( ~ ( p101(X15)
& p501(X15) )
| ~ r1(X11,X15) )
| ~ ! [X16] :
( ~ ( p101(X16)
& p601(X16) )
| ~ r1(X11,X16) )
| ~ ! [X17] :
( ~ ( p201(X17)
& p301(X17) )
| ~ r1(X11,X17) )
| ~ ! [X18] :
( ~ ( p201(X18)
& p401(X18) )
| ~ r1(X11,X18) )
| ~ ! [X19] :
( ~ ( p201(X19)
& p501(X19) )
| ~ r1(X11,X19) )
| ~ ! [X20] :
( ~ ( p201(X20)
& p601(X20) )
| ~ r1(X11,X20) )
| ~ ! [X21] :
( ~ ( p301(X21)
& p401(X21) )
| ~ r1(X11,X21) )
| ~ ! [X22] :
( ~ ( p301(X22)
& p501(X22) )
| ~ r1(X11,X22) )
| ~ ! [X23] :
( ~ ( p301(X23)
& p601(X23) )
| ~ r1(X11,X23) )
| ~ ! [X24] :
( ~ ( p401(X24)
& p501(X24) )
| ~ r1(X11,X24) )
| ~ ! [X25] :
( ~ ( p401(X25)
& p601(X25) )
| ~ r1(X11,X25) )
| ~ ! [X26] :
( ~ ( p501(X26)
& p601(X26) )
| ~ r1(X11,X26) )
| ~ ! [X27] :
( ~ ( ! [X28] :
( p102(X28)
| ~ r1(X27,X28) )
& p202(X27) )
| ~ r1(X11,X27) )
| ~ ! [X29] :
( ~ ( ! [X30] :
( p102(X30)
| ~ r1(X29,X30) )
& p302(X29) )
| ~ r1(X11,X29) )
| ~ ! [X31] :
( ~ ( ! [X32] :
( p102(X32)
| ~ r1(X31,X32) )
& p402(X31) )
| ~ r1(X11,X31) )
| ~ ! [X33] :
( ~ ( ! [X34] :
( p102(X34)
| ~ r1(X33,X34) )
& p502(X33) )
| ~ r1(X11,X33) )
| ~ ! [X35] :
( ~ ( ! [X36] :
( p102(X36)
| ~ r1(X35,X36) )
& p602(X35) )
| ~ r1(X11,X35) )
| ~ ! [X37] :
( ~ ( p202(X37)
& p302(X37) )
| ~ r1(X11,X37) )
| ~ ! [X38] :
( ~ ( p202(X38)
& p402(X38) )
| ~ r1(X11,X38) )
| ~ ! [X39] :
( ~ ( p202(X39)
& p502(X39) )
| ~ r1(X11,X39) )
| ~ ! [X40] :
( ~ ( p202(X40)
& p602(X40) )
| ~ r1(X11,X40) )
| ~ ! [X41] :
( ~ ( p302(X41)
& p402(X41) )
| ~ r1(X11,X41) )
| ~ ! [X42] :
( ~ ( p302(X42)
& p502(X42) )
| ~ r1(X11,X42) )
| ~ ! [X43] :
( ~ ( p302(X43)
& p602(X43) )
| ~ r1(X11,X43) )
| ~ ! [X44] :
( ~ ( p402(X44)
& p502(X44) )
| ~ r1(X11,X44) )
| ~ ! [X45] :
( ~ ( p402(X45)
& p602(X45) )
| ~ r1(X11,X45) )
| ~ ! [X46] :
( ~ ( p502(X46)
& p602(X46) )
| ~ r1(X11,X46) )
| ~ ! [X47] :
( ~ ( ! [X48] :
( p103(X48)
| ~ r1(X47,X48) )
& ! [X49] :
( p203(X49)
| ~ r1(X47,X49) ) )
| ~ r1(X11,X47) )
| ~ ! [X50] :
( ~ ( ! [X51] :
( p103(X51)
| ~ r1(X50,X51) )
& p303(X50) )
| ~ r1(X11,X50) )
| ~ ! [X52] :
( ~ ( ! [X53] :
( p103(X53)
| ~ r1(X52,X53) )
& p403(X52) )
| ~ r1(X11,X52) )
| ~ ! [X54] :
( ~ ( ! [X55] :
( p103(X55)
| ~ r1(X54,X55) )
& p503(X54) )
| ~ r1(X11,X54) )
| ~ ! [X56] :
( ~ ( ! [X57] :
( p103(X57)
| ~ r1(X56,X57) )
& p603(X56) )
| ~ r1(X11,X56) )
| ~ ! [X58] :
( ~ ( ! [X59] :
( p203(X59)
| ~ r1(X58,X59) )
& p303(X58) )
| ~ r1(X11,X58) )
| ~ ! [X60] :
( ~ ( ! [X61] :
( p203(X61)
| ~ r1(X60,X61) )
& p403(X60) )
| ~ r1(X11,X60) )
| ~ ! [X62] :
( ~ ( ! [X63] :
( p203(X63)
| ~ r1(X62,X63) )
& p503(X62) )
| ~ r1(X11,X62) )
| ~ ! [X64] :
( ~ ( ! [X65] :
( p203(X65)
| ~ r1(X64,X65) )
& p603(X64) )
| ~ r1(X11,X64) )
| ~ ! [X66] :
( ~ ( p303(X66)
& p403(X66) )
| ~ r1(X11,X66) )
| ~ ! [X67] :
( ~ ( p303(X67)
& p503(X67) )
| ~ r1(X11,X67) )
| ~ ! [X68] :
( ~ ( p303(X68)
& p603(X68) )
| ~ r1(X11,X68) )
| ~ ! [X69] :
( ~ ( p403(X69)
& p503(X69) )
| ~ r1(X11,X69) )
| ~ ! [X70] :
( ~ ( p403(X70)
& p603(X70) )
| ~ r1(X11,X70) )
| ~ ! [X71] :
( ~ ( p503(X71)
& p603(X71) )
| ~ r1(X11,X71) )
| ~ ! [X72] :
( ~ ( ! [X73] :
( p104(X73)
| ~ r1(X72,X73) )
& ! [X74] :
( p204(X74)
| ~ r1(X72,X74) ) )
| ~ r1(X11,X72) )
| ~ ! [X75] :
( ~ ( ! [X76] :
( p104(X76)
| ~ r1(X75,X76) )
& ! [X77] :
( p304(X77)
| ~ r1(X75,X77) ) )
| ~ r1(X11,X75) )
| ~ ! [X78] :
( ~ ( ! [X79] :
( p104(X79)
| ~ r1(X78,X79) )
& p404(X78) )
| ~ r1(X11,X78) )
| ~ ! [X80] :
( ~ ( ! [X81] :
( p104(X81)
| ~ r1(X80,X81) )
& p504(X80) )
| ~ r1(X11,X80) )
| ~ ! [X82] :
( ~ ( ! [X83] :
( p104(X83)
| ~ r1(X82,X83) )
& p604(X82) )
| ~ r1(X11,X82) )
| ~ ! [X84] :
( ~ ( ! [X85] :
( p204(X85)
| ~ r1(X84,X85) )
& ! [X86] :
( p304(X86)
| ~ r1(X84,X86) ) )
| ~ r1(X11,X84) )
| ~ ! [X87] :
( ~ ( ! [X88] :
( p204(X88)
| ~ r1(X87,X88) )
& p404(X87) )
| ~ r1(X11,X87) )
| ~ ! [X89] :
( ~ ( ! [X90] :
( p204(X90)
| ~ r1(X89,X90) )
& p504(X89) )
| ~ r1(X11,X89) )
| ~ ! [X91] :
( ~ ( ! [X92] :
( p204(X92)
| ~ r1(X91,X92) )
& p604(X91) )
| ~ r1(X11,X91) )
| ~ ! [X93] :
( ~ ( ! [X94] :
( p304(X94)
| ~ r1(X93,X94) )
& p404(X93) )
| ~ r1(X11,X93) )
| ~ ! [X95] :
( ~ ( ! [X96] :
( p304(X96)
| ~ r1(X95,X96) )
& p504(X95) )
| ~ r1(X11,X95) )
| ~ ! [X97] :
( ~ ( ! [X98] :
( p304(X98)
| ~ r1(X97,X98) )
& p604(X97) )
| ~ r1(X11,X97) )
| ~ ! [X99] :
( ~ ( p404(X99)
& p504(X99) )
| ~ r1(X11,X99) )
| ~ ! [X100] :
( ~ ( p404(X100)
& p604(X100) )
| ~ r1(X11,X100) )
| ~ ! [X101] :
( ~ ( p504(X101)
& p604(X101) )
| ~ r1(X11,X101) )
| ~ ! [X102] :
( ~ ( ! [X103] :
( p105(X103)
| ~ r1(X102,X103) )
& ! [X104] :
( p205(X104)
| ~ r1(X102,X104) ) )
| ~ r1(X11,X102) )
| ~ ! [X105] :
( ~ ( ! [X106] :
( p105(X106)
| ~ r1(X105,X106) )
& ! [X107] :
( p305(X107)
| ~ r1(X105,X107) ) )
| ~ r1(X11,X105) )
| ~ ! [X108] :
( ~ ( ! [X109] :
( p105(X109)
| ~ r1(X108,X109) )
& ! [X110] :
( p405(X110)
| ~ r1(X108,X110) ) )
| ~ r1(X11,X108) )
| ~ ! [X111] :
( ~ ( ! [X112] :
( p105(X112)
| ~ r1(X111,X112) )
& p505(X111) )
| ~ r1(X11,X111) )
| ~ ! [X113] :
( ~ ( ! [X114] :
( p105(X114)
| ~ r1(X113,X114) )
& p605(X113) )
| ~ r1(X11,X113) )
| ~ ! [X115] :
( ~ ( ! [X116] :
( p205(X116)
| ~ r1(X115,X116) )
& ! [X117] :
( p305(X117)
| ~ r1(X115,X117) ) )
| ~ r1(X11,X115) )
| ~ ! [X118] :
( ~ ( ! [X119] :
( p205(X119)
| ~ r1(X118,X119) )
& ! [X120] :
( p405(X120)
| ~ r1(X118,X120) ) )
| ~ r1(X11,X118) )
| ~ ! [X121] :
( ~ ( ! [X122] :
( p205(X122)
| ~ r1(X121,X122) )
& p505(X121) )
| ~ r1(X11,X121) )
| ~ ! [X123] :
( ~ ( ! [X124] :
( p205(X124)
| ~ r1(X123,X124) )
& p605(X123) )
| ~ r1(X11,X123) )
| ~ ! [X125] :
( ~ ( ! [X126] :
( p305(X126)
| ~ r1(X125,X126) )
& ! [X127] :
( p405(X127)
| ~ r1(X125,X127) ) )
| ~ r1(X11,X125) )
| ~ ! [X128] :
( ~ ( ! [X129] :
( p305(X129)
| ~ r1(X128,X129) )
& p505(X128) )
| ~ r1(X11,X128) )
| ~ ! [X130] :
( ~ ( ! [X131] :
( p305(X131)
| ~ r1(X130,X131) )
& p605(X130) )
| ~ r1(X11,X130) )
| ~ ! [X132] :
( ~ ( ! [X133] :
( p405(X133)
| ~ r1(X132,X133) )
& p505(X132) )
| ~ r1(X11,X132) )
| ~ ! [X134] :
( ~ ( ! [X135] :
( p405(X135)
| ~ r1(X134,X135) )
& p605(X134) )
| ~ r1(X11,X134) )
| ~ ! [X136] :
( ~ ( p505(X136)
& p605(X136) )
| ~ r1(X11,X136) ) )
| ~ r1(X0,X11) ) ),
inference(rectify,[],[f4]) ).
fof(f4,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( ( p101(X0)
| ! [X1] :
( p102(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p103(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p104(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p105(X1)
| ~ r1(X0,X1) ) )
& ( p201(X0)
| p202(X0)
| ! [X1] :
( p203(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p204(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p205(X1)
| ~ r1(X0,X1) ) )
& ( p301(X0)
| p302(X0)
| p303(X0)
| ! [X1] :
( p304(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p305(X1)
| ~ r1(X0,X1) ) )
& ( p401(X0)
| p402(X0)
| p403(X0)
| p404(X0)
| ! [X1] :
( p405(X1)
| ~ r1(X0,X1) ) )
& ( p501(X0)
| p502(X0)
| p503(X0)
| p504(X0)
| p505(X0) )
& ( p601(X0)
| p602(X0)
| p603(X0)
| p604(X0)
| p605(X0) ) )
| ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( p101(X0)
& p201(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p101(X0)
& p301(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p101(X0)
& p401(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p101(X0)
& p501(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p101(X0)
& p601(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p201(X0)
& p301(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p201(X0)
& p401(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p201(X0)
& p501(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p201(X0)
& p601(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p301(X0)
& p401(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p301(X0)
& p501(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p301(X0)
& p601(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p401(X0)
& p501(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p401(X0)
& p601(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p501(X0)
& p601(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p102(X1)
| ~ r1(X0,X1) )
& p202(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p102(X1)
| ~ r1(X0,X1) )
& p302(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p102(X1)
| ~ r1(X0,X1) )
& p402(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p102(X1)
| ~ r1(X0,X1) )
& p502(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p102(X1)
| ~ r1(X0,X1) )
& p602(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p202(X0)
& p302(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p202(X0)
& p402(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p202(X0)
& p502(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p202(X0)
& p602(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p302(X0)
& p402(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p302(X0)
& p502(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p302(X0)
& p602(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p402(X0)
& p502(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p402(X0)
& p602(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p502(X0)
& p602(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p103(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p203(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p103(X1)
| ~ r1(X0,X1) )
& p303(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p103(X1)
| ~ r1(X0,X1) )
& p403(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p103(X1)
| ~ r1(X0,X1) )
& p503(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p103(X1)
| ~ r1(X0,X1) )
& p603(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p203(X1)
| ~ r1(X0,X1) )
& p303(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p203(X1)
| ~ r1(X0,X1) )
& p403(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p203(X1)
| ~ r1(X0,X1) )
& p503(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p203(X1)
| ~ r1(X0,X1) )
& p603(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p303(X0)
& p403(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p303(X0)
& p503(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p303(X0)
& p603(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p403(X0)
& p503(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p403(X0)
& p603(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p503(X0)
& p603(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p104(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p204(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p104(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p304(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p104(X1)
| ~ r1(X0,X1) )
& p404(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p104(X1)
| ~ r1(X0,X1) )
& p504(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p104(X1)
| ~ r1(X0,X1) )
& p604(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p204(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p304(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p204(X1)
| ~ r1(X0,X1) )
& p404(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p204(X1)
| ~ r1(X0,X1) )
& p504(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p204(X1)
| ~ r1(X0,X1) )
& p604(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p304(X1)
| ~ r1(X0,X1) )
& p404(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p304(X1)
| ~ r1(X0,X1) )
& p504(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p304(X1)
| ~ r1(X0,X1) )
& p604(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p404(X0)
& p504(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p404(X0)
& p604(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p504(X0)
& p604(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p105(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p205(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p105(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p305(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p105(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p405(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p105(X1)
| ~ r1(X0,X1) )
& p505(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p105(X1)
| ~ r1(X0,X1) )
& p605(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p205(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p305(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p205(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p405(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p205(X1)
| ~ r1(X0,X1) )
& p505(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p205(X1)
| ~ r1(X0,X1) )
& p605(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p305(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p405(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p305(X1)
| ~ r1(X0,X1) )
& p505(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p305(X1)
| ~ r1(X0,X1) )
& p605(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p405(X1)
| ~ r1(X0,X1) )
& p505(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p405(X1)
| ~ r1(X0,X1) )
& p605(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p505(X0)
& p605(X0) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
~ ? [X0] :
~ ( ~ ( ( p101(X0)
| ! [X1] :
( p102(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p103(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p104(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p105(X1)
| ~ r1(X0,X1) ) )
& ( p201(X0)
| p202(X0)
| ! [X1] :
( p203(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p204(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p205(X1)
| ~ r1(X0,X1) ) )
& ( p301(X0)
| p302(X0)
| p303(X0)
| ! [X1] :
( p304(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p305(X1)
| ~ r1(X0,X1) ) )
& ( p401(X0)
| p402(X0)
| p403(X0)
| p404(X0)
| ! [X1] :
( p405(X1)
| ~ r1(X0,X1) ) )
& ( p501(X0)
| p502(X0)
| p503(X0)
| p504(X0)
| p505(X0) )
& ( p601(X0)
| p602(X0)
| p603(X0)
| p604(X0)
| p605(X0) ) )
| ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ( p101(X0)
& p201(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p101(X0)
& p301(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p101(X0)
& p401(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p101(X0)
& p501(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p101(X0)
& p601(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p201(X0)
& p301(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p201(X0)
& p401(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p201(X0)
& p501(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p201(X0)
& p601(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p301(X0)
& p401(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p301(X0)
& p501(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p301(X0)
& p601(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p401(X0)
& p501(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p401(X0)
& p601(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p501(X0)
& p601(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p102(X1)
| ~ r1(X0,X1) )
& p202(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p102(X1)
| ~ r1(X0,X1) )
& p302(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p102(X1)
| ~ r1(X0,X1) )
& p402(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p102(X1)
| ~ r1(X0,X1) )
& p502(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p102(X1)
| ~ r1(X0,X1) )
& p602(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p202(X0)
& p302(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p202(X0)
& p402(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p202(X0)
& p502(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p202(X0)
& p602(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p302(X0)
& p402(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p302(X0)
& p502(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p302(X0)
& p602(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p402(X0)
& p502(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p402(X0)
& p602(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p502(X0)
& p602(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p103(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p203(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p103(X1)
| ~ r1(X0,X1) )
& p303(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p103(X1)
| ~ r1(X0,X1) )
& p403(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p103(X1)
| ~ r1(X0,X1) )
& p503(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p103(X1)
| ~ r1(X0,X1) )
& p603(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p203(X1)
| ~ r1(X0,X1) )
& p303(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p203(X1)
| ~ r1(X0,X1) )
& p403(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p203(X1)
| ~ r1(X0,X1) )
& p503(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p203(X1)
| ~ r1(X0,X1) )
& p603(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p303(X0)
& p403(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p303(X0)
& p503(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p303(X0)
& p603(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p403(X0)
& p503(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p403(X0)
& p603(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p503(X0)
& p603(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p104(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p204(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p104(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p304(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p104(X1)
| ~ r1(X0,X1) )
& p404(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p104(X1)
| ~ r1(X0,X1) )
& p504(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p104(X1)
| ~ r1(X0,X1) )
& p604(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p204(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p304(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p204(X1)
| ~ r1(X0,X1) )
& p404(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p204(X1)
| ~ r1(X0,X1) )
& p504(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p204(X1)
| ~ r1(X0,X1) )
& p604(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p304(X1)
| ~ r1(X0,X1) )
& p404(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p304(X1)
| ~ r1(X0,X1) )
& p504(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p304(X1)
| ~ r1(X0,X1) )
& p604(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p404(X0)
& p504(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p404(X0)
& p604(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p504(X0)
& p604(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p105(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p205(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p105(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p305(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p105(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p405(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p105(X1)
| ~ r1(X0,X1) )
& p505(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p105(X1)
| ~ r1(X0,X1) )
& p605(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p205(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p305(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p205(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p405(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p205(X1)
| ~ r1(X0,X1) )
& p505(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p205(X1)
| ~ r1(X0,X1) )
& p605(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p305(X1)
| ~ r1(X0,X1) )
& ! [X1] :
( p405(X1)
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p305(X1)
| ~ r1(X0,X1) )
& p505(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p305(X1)
| ~ r1(X0,X1) )
& p605(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p405(X1)
| ~ r1(X0,X1) )
& p505(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( p405(X1)
| ~ r1(X0,X1) )
& p605(X0) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ( p505(X0)
& p605(X0) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.dYVrYhc0YO/Vampire---4.8_21852',main) ).
fof(f8491,plain,
( ~ spl92_6
| ~ spl92_142
| spl92_144 ),
inference(avatar_contradiction_clause,[],[f8490]) ).
fof(f8490,plain,
( $false
| ~ spl92_6
| ~ spl92_142
| spl92_144 ),
inference(subsumption_resolution,[],[f8422,f1069]) ).
fof(f1069,plain,
( ~ p205(sK87(sK91))
| spl92_144 ),
inference(avatar_component_clause,[],[f1067]) ).
fof(f1067,plain,
( spl92_144
<=> p205(sK87(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_144])]) ).
fof(f8422,plain,
( p205(sK87(sK91))
| ~ spl92_6
| ~ spl92_142 ),
inference(resolution,[],[f430,f1060]) ).
fof(f1060,plain,
( r1(sK91,sK87(sK91))
| ~ spl92_142 ),
inference(avatar_component_clause,[],[f1058]) ).
fof(f1058,plain,
( spl92_142
<=> r1(sK91,sK87(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_142])]) ).
fof(f430,plain,
( ! [X7] :
( ~ r1(sK91,X7)
| p205(X7) )
| ~ spl92_6 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f429,plain,
( spl92_6
<=> ! [X7] :
( p205(X7)
| ~ r1(sK91,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_6])]) ).
fof(f8489,plain,
( ~ spl92_6
| ~ spl92_136
| spl92_138 ),
inference(avatar_contradiction_clause,[],[f8488]) ).
fof(f8488,plain,
( $false
| ~ spl92_6
| ~ spl92_136
| spl92_138 ),
inference(subsumption_resolution,[],[f8421,f1043]) ).
fof(f1043,plain,
( ~ p205(sK85(sK91))
| spl92_138 ),
inference(avatar_component_clause,[],[f1041]) ).
fof(f1041,plain,
( spl92_138
<=> p205(sK85(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_138])]) ).
fof(f8421,plain,
( p205(sK85(sK91))
| ~ spl92_6
| ~ spl92_136 ),
inference(resolution,[],[f430,f1034]) ).
fof(f1034,plain,
( r1(sK91,sK85(sK91))
| ~ spl92_136 ),
inference(avatar_component_clause,[],[f1032]) ).
fof(f1032,plain,
( spl92_136
<=> r1(sK91,sK85(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_136])]) ).
fof(f8406,plain,
( spl92_35
| ~ spl92_19
| ~ spl92_4 ),
inference(avatar_split_clause,[],[f8405,f421,f477,f606]) ).
fof(f606,plain,
( spl92_35
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP37(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_35])]) ).
fof(f477,plain,
( spl92_19
<=> p402(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_19])]) ).
fof(f421,plain,
( spl92_4
<=> ! [X1] :
( p102(X1)
| ~ r1(sK91,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_4])]) ).
fof(f8405,plain,
( ! [X0] :
( ~ p402(sK91)
| ~ r1(X0,sK91)
| ~ sP37(X0) )
| ~ spl92_4 ),
inference(subsumption_resolution,[],[f7511,f307]) ).
fof(f307,plain,
! [X0,X1] :
( ~ p102(sK43(X1))
| ~ p402(X1)
| ~ r1(X0,X1)
| ~ sP37(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ! [X1] :
( ( ~ p102(sK43(X1))
& r1(X1,sK43(X1)) )
| ~ p402(X1)
| ~ r1(X0,X1) )
| ~ sP37(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK43])],[f64,f65]) ).
fof(f65,plain,
! [X1] :
( ? [X2] :
( ~ p102(X2)
& r1(X1,X2) )
=> ( ~ p102(sK43(X1))
& r1(X1,sK43(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p102(X2)
& r1(X1,X2) )
| ~ p402(X1)
| ~ r1(X0,X1) )
| ~ sP37(X0) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
! [X11] :
( ! [X31] :
( ? [X32] :
( ~ p102(X32)
& r1(X31,X32) )
| ~ p402(X31)
| ~ r1(X11,X31) )
| ~ sP37(X11) ),
inference(nnf_transformation,[],[f48]) ).
fof(f7511,plain,
( ! [X0] :
( p102(sK43(sK91))
| ~ p402(sK91)
| ~ r1(X0,sK91)
| ~ sP37(X0) )
| ~ spl92_4 ),
inference(resolution,[],[f422,f306]) ).
fof(f306,plain,
! [X0,X1] :
( r1(X1,sK43(X1))
| ~ p402(X1)
| ~ r1(X0,X1)
| ~ sP37(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f422,plain,
( ! [X1] :
( ~ r1(sK91,X1)
| p102(X1) )
| ~ spl92_4 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f8403,plain,
( spl92_37
| ~ spl92_24
| ~ spl92_4 ),
inference(avatar_split_clause,[],[f8402,f421,f498,f614]) ).
fof(f614,plain,
( spl92_37
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP36(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_37])]) ).
fof(f498,plain,
( spl92_24
<=> p502(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_24])]) ).
fof(f8402,plain,
( ! [X0] :
( ~ p502(sK91)
| ~ r1(X0,sK91)
| ~ sP36(X0) )
| ~ spl92_4 ),
inference(subsumption_resolution,[],[f7512,f309]) ).
fof(f309,plain,
! [X0,X1] :
( ~ p102(sK44(X1))
| ~ p502(X1)
| ~ r1(X0,X1)
| ~ sP36(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ! [X1] :
( ( ~ p102(sK44(X1))
& r1(X1,sK44(X1)) )
| ~ p502(X1)
| ~ r1(X0,X1) )
| ~ sP36(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK44])],[f68,f69]) ).
fof(f69,plain,
! [X1] :
( ? [X2] :
( ~ p102(X2)
& r1(X1,X2) )
=> ( ~ p102(sK44(X1))
& r1(X1,sK44(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p102(X2)
& r1(X1,X2) )
| ~ p502(X1)
| ~ r1(X0,X1) )
| ~ sP36(X0) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X11] :
( ! [X33] :
( ? [X34] :
( ~ p102(X34)
& r1(X33,X34) )
| ~ p502(X33)
| ~ r1(X11,X33) )
| ~ sP36(X11) ),
inference(nnf_transformation,[],[f47]) ).
fof(f7512,plain,
( ! [X0] :
( p102(sK44(sK91))
| ~ p502(sK91)
| ~ r1(X0,sK91)
| ~ sP36(X0) )
| ~ spl92_4 ),
inference(resolution,[],[f422,f308]) ).
fof(f308,plain,
! [X0,X1] :
( r1(X1,sK44(X1))
| ~ p502(X1)
| ~ r1(X0,X1)
| ~ sP36(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f8247,plain,
( ~ spl92_11
| ~ spl92_148
| spl92_150 ),
inference(avatar_contradiction_clause,[],[f8246]) ).
fof(f8246,plain,
( $false
| ~ spl92_11
| ~ spl92_148
| spl92_150 ),
inference(subsumption_resolution,[],[f8205,f1095]) ).
fof(f1095,plain,
( ~ p305(sK89(sK91))
| spl92_150 ),
inference(avatar_component_clause,[],[f1093]) ).
fof(f1093,plain,
( spl92_150
<=> p305(sK89(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_150])]) ).
fof(f8205,plain,
( p305(sK89(sK91))
| ~ spl92_11
| ~ spl92_148 ),
inference(resolution,[],[f1086,f448]) ).
fof(f448,plain,
( ! [X9] :
( ~ r1(sK91,X9)
| p305(X9) )
| ~ spl92_11 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f447,plain,
( spl92_11
<=> ! [X9] :
( p305(X9)
| ~ r1(sK91,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_11])]) ).
fof(f1086,plain,
( r1(sK91,sK89(sK91))
| ~ spl92_148 ),
inference(avatar_component_clause,[],[f1084]) ).
fof(f1084,plain,
( spl92_148
<=> r1(sK91,sK89(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_148])]) ).
fof(f8187,plain,
( spl92_145
| spl92_148
| ~ spl92_16 ),
inference(avatar_split_clause,[],[f8186,f466,f1084,f1072]) ).
fof(f1072,plain,
( spl92_145
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_145])]) ).
fof(f466,plain,
( spl92_16
<=> ! [X10] :
( p405(X10)
| ~ r1(sK91,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_16])]) ).
fof(f8186,plain,
( ! [X0] :
( r1(sK91,sK89(sK91))
| ~ r1(X0,sK91)
| ~ sP0(X0) )
| ~ spl92_16 ),
inference(subsumption_resolution,[],[f7264,f399]) ).
fof(f399,plain,
! [X0,X1] :
( r1(X1,sK89(X1))
| ~ p405(sK90(X1))
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f224]) ).
fof(f224,plain,
! [X0] :
( ! [X1] :
( ( ~ p305(sK89(X1))
& r1(X1,sK89(X1)) )
| ( ~ p405(sK90(X1))
& r1(X1,sK90(X1)) )
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK89,sK90])],[f221,f223,f222]) ).
fof(f222,plain,
! [X1] :
( ? [X2] :
( ~ p305(X2)
& r1(X1,X2) )
=> ( ~ p305(sK89(X1))
& r1(X1,sK89(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f223,plain,
! [X1] :
( ? [X3] :
( ~ p405(X3)
& r1(X1,X3) )
=> ( ~ p405(sK90(X1))
& r1(X1,sK90(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f221,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p305(X2)
& r1(X1,X2) )
| ? [X3] :
( ~ p405(X3)
& r1(X1,X3) )
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(rectify,[],[f220]) ).
fof(f220,plain,
! [X11] :
( ! [X125] :
( ? [X126] :
( ~ p305(X126)
& r1(X125,X126) )
| ? [X127] :
( ~ p405(X127)
& r1(X125,X127) )
| ~ r1(X11,X125) )
| ~ sP0(X11) ),
inference(nnf_transformation,[],[f11]) ).
fof(f7264,plain,
( ! [X0] :
( p405(sK90(sK91))
| r1(sK91,sK89(sK91))
| ~ r1(X0,sK91)
| ~ sP0(X0) )
| ~ spl92_16 ),
inference(resolution,[],[f467,f398]) ).
fof(f398,plain,
! [X0,X1] :
( r1(X1,sK90(X1))
| r1(X1,sK89(X1))
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f224]) ).
fof(f467,plain,
( ! [X10] :
( ~ r1(sK91,X10)
| p405(X10) )
| ~ spl92_16 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f8185,plain,
( spl92_145
| ~ spl92_150
| ~ spl92_16 ),
inference(avatar_split_clause,[],[f8184,f466,f1093,f1072]) ).
fof(f8184,plain,
( ! [X0] :
( ~ p305(sK89(sK91))
| ~ r1(X0,sK91)
| ~ sP0(X0) )
| ~ spl92_16 ),
inference(subsumption_resolution,[],[f7265,f401]) ).
fof(f401,plain,
! [X0,X1] :
( ~ p305(sK89(X1))
| ~ p405(sK90(X1))
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f224]) ).
fof(f7265,plain,
( ! [X0] :
( p405(sK90(sK91))
| ~ p305(sK89(sK91))
| ~ r1(X0,sK91)
| ~ sP0(X0) )
| ~ spl92_16 ),
inference(resolution,[],[f467,f400]) ).
fof(f400,plain,
! [X0,X1] :
( r1(X1,sK90(X1))
| ~ p305(sK89(X1))
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f224]) ).
fof(f8164,plain,
~ spl92_145,
inference(avatar_contradiction_clause,[],[f8163]) ).
fof(f8163,plain,
( $false
| ~ spl92_145 ),
inference(subsumption_resolution,[],[f8161,f527]) ).
fof(f8161,plain,
( ~ sP40(sK91)
| ~ spl92_145 ),
inference(resolution,[],[f8158,f232]) ).
fof(f232,plain,
! [X0] :
( sP0(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f8158,plain,
( ~ sP0(sK91)
| ~ spl92_145 ),
inference(resolution,[],[f1073,f410]) ).
fof(f1073,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP0(X0) )
| ~ spl92_145 ),
inference(avatar_component_clause,[],[f1072]) ).
fof(f7946,plain,
( spl92_139
| spl92_142
| ~ spl92_16 ),
inference(avatar_split_clause,[],[f7945,f466,f1058,f1046]) ).
fof(f1046,plain,
( spl92_139
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_139])]) ).
fof(f7945,plain,
( ! [X0] :
( r1(sK91,sK87(sK91))
| ~ r1(X0,sK91)
| ~ sP1(X0) )
| ~ spl92_16 ),
inference(subsumption_resolution,[],[f7261,f395]) ).
fof(f395,plain,
! [X0,X1] :
( r1(X1,sK87(X1))
| ~ p405(sK88(X1))
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f219]) ).
fof(f219,plain,
! [X0] :
( ! [X1] :
( ( ~ p205(sK87(X1))
& r1(X1,sK87(X1)) )
| ( ~ p405(sK88(X1))
& r1(X1,sK88(X1)) )
| ~ r1(X0,X1) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK87,sK88])],[f216,f218,f217]) ).
fof(f217,plain,
! [X1] :
( ? [X2] :
( ~ p205(X2)
& r1(X1,X2) )
=> ( ~ p205(sK87(X1))
& r1(X1,sK87(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f218,plain,
! [X1] :
( ? [X3] :
( ~ p405(X3)
& r1(X1,X3) )
=> ( ~ p405(sK88(X1))
& r1(X1,sK88(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f216,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p205(X2)
& r1(X1,X2) )
| ? [X3] :
( ~ p405(X3)
& r1(X1,X3) )
| ~ r1(X0,X1) )
| ~ sP1(X0) ),
inference(rectify,[],[f215]) ).
fof(f215,plain,
! [X11] :
( ! [X118] :
( ? [X119] :
( ~ p205(X119)
& r1(X118,X119) )
| ? [X120] :
( ~ p405(X120)
& r1(X118,X120) )
| ~ r1(X11,X118) )
| ~ sP1(X11) ),
inference(nnf_transformation,[],[f12]) ).
fof(f7261,plain,
( ! [X0] :
( p405(sK88(sK91))
| r1(sK91,sK87(sK91))
| ~ r1(X0,sK91)
| ~ sP1(X0) )
| ~ spl92_16 ),
inference(resolution,[],[f467,f394]) ).
fof(f394,plain,
! [X0,X1] :
( r1(X1,sK88(X1))
| r1(X1,sK87(X1))
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f219]) ).
fof(f7944,plain,
( spl92_139
| ~ spl92_144
| ~ spl92_16 ),
inference(avatar_split_clause,[],[f7943,f466,f1067,f1046]) ).
fof(f7943,plain,
( ! [X0] :
( ~ p205(sK87(sK91))
| ~ r1(X0,sK91)
| ~ sP1(X0) )
| ~ spl92_16 ),
inference(subsumption_resolution,[],[f7262,f397]) ).
fof(f397,plain,
! [X0,X1] :
( ~ p205(sK87(X1))
| ~ p405(sK88(X1))
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f219]) ).
fof(f7262,plain,
( ! [X0] :
( p405(sK88(sK91))
| ~ p205(sK87(sK91))
| ~ r1(X0,sK91)
| ~ sP1(X0) )
| ~ spl92_16 ),
inference(resolution,[],[f467,f396]) ).
fof(f396,plain,
! [X0,X1] :
( r1(X1,sK88(X1))
| ~ p205(sK87(X1))
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f219]) ).
fof(f7920,plain,
~ spl92_139,
inference(avatar_contradiction_clause,[],[f7919]) ).
fof(f7919,plain,
( $false
| ~ spl92_139 ),
inference(subsumption_resolution,[],[f7917,f527]) ).
fof(f7917,plain,
( ~ sP40(sK91)
| ~ spl92_139 ),
inference(resolution,[],[f7914,f235]) ).
fof(f235,plain,
! [X0] :
( sP1(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f7914,plain,
( ~ sP1(sK91)
| ~ spl92_139 ),
inference(resolution,[],[f1047,f410]) ).
fof(f1047,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP1(X0) )
| ~ spl92_139 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f7680,plain,
( spl92_133
| spl92_136
| ~ spl92_11 ),
inference(avatar_split_clause,[],[f7679,f447,f1032,f1020]) ).
fof(f1020,plain,
( spl92_133
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_133])]) ).
fof(f7679,plain,
( ! [X0] :
( r1(sK91,sK85(sK91))
| ~ r1(X0,sK91)
| ~ sP2(X0) )
| ~ spl92_11 ),
inference(subsumption_resolution,[],[f7636,f391]) ).
fof(f391,plain,
! [X0,X1] :
( r1(X1,sK85(X1))
| ~ p305(sK86(X1))
| ~ r1(X0,X1)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f214,plain,
! [X0] :
( ! [X1] :
( ( ~ p205(sK85(X1))
& r1(X1,sK85(X1)) )
| ( ~ p305(sK86(X1))
& r1(X1,sK86(X1)) )
| ~ r1(X0,X1) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK85,sK86])],[f211,f213,f212]) ).
fof(f212,plain,
! [X1] :
( ? [X2] :
( ~ p205(X2)
& r1(X1,X2) )
=> ( ~ p205(sK85(X1))
& r1(X1,sK85(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f213,plain,
! [X1] :
( ? [X3] :
( ~ p305(X3)
& r1(X1,X3) )
=> ( ~ p305(sK86(X1))
& r1(X1,sK86(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f211,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p205(X2)
& r1(X1,X2) )
| ? [X3] :
( ~ p305(X3)
& r1(X1,X3) )
| ~ r1(X0,X1) )
| ~ sP2(X0) ),
inference(rectify,[],[f210]) ).
fof(f210,plain,
! [X11] :
( ! [X115] :
( ? [X116] :
( ~ p205(X116)
& r1(X115,X116) )
| ? [X117] :
( ~ p305(X117)
& r1(X115,X117) )
| ~ r1(X11,X115) )
| ~ sP2(X11) ),
inference(nnf_transformation,[],[f13]) ).
fof(f7636,plain,
( ! [X0] :
( p305(sK86(sK91))
| r1(sK91,sK85(sK91))
| ~ r1(X0,sK91)
| ~ sP2(X0) )
| ~ spl92_11 ),
inference(resolution,[],[f448,f390]) ).
fof(f390,plain,
! [X0,X1] :
( r1(X1,sK86(X1))
| r1(X1,sK85(X1))
| ~ r1(X0,X1)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f7678,plain,
( spl92_133
| ~ spl92_138
| ~ spl92_11 ),
inference(avatar_split_clause,[],[f7677,f447,f1041,f1020]) ).
fof(f7677,plain,
( ! [X0] :
( ~ p205(sK85(sK91))
| ~ r1(X0,sK91)
| ~ sP2(X0) )
| ~ spl92_11 ),
inference(subsumption_resolution,[],[f7637,f393]) ).
fof(f393,plain,
! [X0,X1] :
( ~ p205(sK85(X1))
| ~ p305(sK86(X1))
| ~ r1(X0,X1)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f7637,plain,
( ! [X0] :
( p305(sK86(sK91))
| ~ p205(sK85(sK91))
| ~ r1(X0,sK91)
| ~ sP2(X0) )
| ~ spl92_11 ),
inference(resolution,[],[f448,f392]) ).
fof(f392,plain,
! [X0,X1] :
( r1(X1,sK86(X1))
| ~ p205(sK85(X1))
| ~ r1(X0,X1)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f7676,plain,
~ spl92_133,
inference(avatar_contradiction_clause,[],[f7675]) ).
fof(f7675,plain,
( $false
| ~ spl92_133 ),
inference(subsumption_resolution,[],[f7673,f527]) ).
fof(f7673,plain,
( ~ sP40(sK91)
| ~ spl92_133 ),
inference(resolution,[],[f7670,f236]) ).
fof(f236,plain,
! [X0] :
( sP2(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f7670,plain,
( ~ sP2(sK91)
| ~ spl92_133 ),
inference(resolution,[],[f1021,f410]) ).
fof(f1021,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP2(X0) )
| ~ spl92_133 ),
inference(avatar_component_clause,[],[f1020]) ).
fof(f7499,plain,
( spl92_61
| ~ spl92_27
| ~ spl92_582 ),
inference(avatar_split_clause,[],[f7498,f7487,f511,f710]) ).
fof(f710,plain,
( spl92_61
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP24(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_61])]) ).
fof(f511,plain,
( spl92_27
<=> p604(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_27])]) ).
fof(f7487,plain,
( spl92_582
<=> p104(sK56(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_582])]) ).
fof(f7498,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP24(X0) )
| ~ spl92_27
| ~ spl92_582 ),
inference(subsumption_resolution,[],[f7497,f513]) ).
fof(f513,plain,
( p604(sK91)
| ~ spl92_27 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f7497,plain,
( ! [X0] :
( ~ p604(sK91)
| ~ r1(X0,sK91)
| ~ sP24(X0) )
| ~ spl92_582 ),
inference(resolution,[],[f7489,f333]) ).
fof(f333,plain,
! [X0,X1] :
( ~ p104(sK56(X1))
| ~ p604(X1)
| ~ r1(X0,X1)
| ~ sP24(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ( ~ p104(sK56(X1))
& r1(X1,sK56(X1)) )
| ~ p604(X1)
| ~ r1(X0,X1) )
| ~ sP24(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK56])],[f116,f117]) ).
fof(f117,plain,
! [X1] :
( ? [X2] :
( ~ p104(X2)
& r1(X1,X2) )
=> ( ~ p104(sK56(X1))
& r1(X1,sK56(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p104(X2)
& r1(X1,X2) )
| ~ p604(X1)
| ~ r1(X0,X1) )
| ~ sP24(X0) ),
inference(rectify,[],[f115]) ).
fof(f115,plain,
! [X11] :
( ! [X82] :
( ? [X83] :
( ~ p104(X83)
& r1(X82,X83) )
| ~ p604(X82)
| ~ r1(X11,X82) )
| ~ sP24(X11) ),
inference(nnf_transformation,[],[f35]) ).
fof(f7489,plain,
( p104(sK56(sK91))
| ~ spl92_582 ),
inference(avatar_component_clause,[],[f7487]) ).
fof(f7490,plain,
( spl92_61
| spl92_582
| ~ spl92_2
| ~ spl92_27 ),
inference(avatar_split_clause,[],[f7485,f511,f415,f7487,f710]) ).
fof(f415,plain,
( spl92_2
<=> ! [X3] :
( p104(X3)
| ~ r1(sK91,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_2])]) ).
fof(f7485,plain,
( ! [X0] :
( p104(sK56(sK91))
| ~ r1(X0,sK91)
| ~ sP24(X0) )
| ~ spl92_2
| ~ spl92_27 ),
inference(subsumption_resolution,[],[f7434,f513]) ).
fof(f7434,plain,
( ! [X0] :
( p104(sK56(sK91))
| ~ p604(sK91)
| ~ r1(X0,sK91)
| ~ sP24(X0) )
| ~ spl92_2 ),
inference(resolution,[],[f416,f332]) ).
fof(f332,plain,
! [X0,X1] :
( r1(X1,sK56(X1))
| ~ p604(X1)
| ~ r1(X0,X1)
| ~ sP24(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f416,plain,
( ! [X3] :
( ~ r1(sK91,X3)
| p104(X3) )
| ~ spl92_2 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f7394,plain,
( spl92_89
| ~ spl92_26
| ~ spl92_16 ),
inference(avatar_split_clause,[],[f7393,f466,f507,f830]) ).
fof(f830,plain,
( spl92_89
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_89])]) ).
fof(f507,plain,
( spl92_26
<=> p605(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_26])]) ).
fof(f7393,plain,
( ! [X0] :
( ~ p605(sK91)
| ~ r1(X0,sK91)
| ~ sP10(X0) )
| ~ spl92_16 ),
inference(subsumption_resolution,[],[f7235,f361]) ).
fof(f361,plain,
! [X0,X1] :
( ~ p405(sK70(X1))
| ~ p605(X1)
| ~ r1(X0,X1)
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0] :
( ! [X1] :
( ( ~ p405(sK70(X1))
& r1(X1,sK70(X1)) )
| ~ p605(X1)
| ~ r1(X0,X1) )
| ~ sP10(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK70])],[f172,f173]) ).
fof(f173,plain,
! [X1] :
( ? [X2] :
( ~ p405(X2)
& r1(X1,X2) )
=> ( ~ p405(sK70(X1))
& r1(X1,sK70(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f172,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p405(X2)
& r1(X1,X2) )
| ~ p605(X1)
| ~ r1(X0,X1) )
| ~ sP10(X0) ),
inference(rectify,[],[f171]) ).
fof(f171,plain,
! [X11] :
( ! [X134] :
( ? [X135] :
( ~ p405(X135)
& r1(X134,X135) )
| ~ p605(X134)
| ~ r1(X11,X134) )
| ~ sP10(X11) ),
inference(nnf_transformation,[],[f21]) ).
fof(f7235,plain,
( ! [X0] :
( p405(sK70(sK91))
| ~ p605(sK91)
| ~ r1(X0,sK91)
| ~ sP10(X0) )
| ~ spl92_16 ),
inference(resolution,[],[f467,f360]) ).
fof(f360,plain,
! [X0,X1] :
( r1(X1,sK70(X1))
| ~ p605(X1)
| ~ r1(X0,X1)
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f174]) ).
fof(f7392,plain,
( ~ spl92_5
| ~ spl92_25 ),
inference(avatar_contradiction_clause,[],[f7391]) ).
fof(f7391,plain,
( $false
| ~ spl92_5
| ~ spl92_25 ),
inference(unit_resulting_resolution,[],[f527,f426,f410,f504,f298]) ).
fof(f298,plain,
! [X0,X4] :
( ~ r1(X0,X4)
| ~ p501(X4)
| ~ p101(X4)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f504,plain,
( p501(sK91)
| ~ spl92_25 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f502,plain,
( spl92_25
<=> p501(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_25])]) ).
fof(f426,plain,
( p101(sK91)
| ~ spl92_5 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f424,plain,
( spl92_5
<=> p101(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_5])]) ).
fof(f7390,plain,
( ~ spl92_22
| ~ spl92_27 ),
inference(avatar_contradiction_clause,[],[f7389]) ).
fof(f7389,plain,
( $false
| ~ spl92_22
| ~ spl92_27 ),
inference(unit_resulting_resolution,[],[f527,f410,f513,f492,f242]) ).
fof(f242,plain,
! [X0,X34] :
( ~ r1(X0,X34)
| ~ p604(X34)
| ~ p504(X34)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f492,plain,
( p504(sK91)
| ~ spl92_22 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f490,plain,
( spl92_22
<=> p504(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_22])]) ).
fof(f7387,plain,
( spl92_87
| ~ spl92_21
| ~ spl92_576 ),
inference(avatar_split_clause,[],[f7384,f7374,f486,f821]) ).
fof(f821,plain,
( spl92_87
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP11(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_87])]) ).
fof(f486,plain,
( spl92_21
<=> p505(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_21])]) ).
fof(f7374,plain,
( spl92_576
<=> p405(sK69(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_576])]) ).
fof(f7384,plain,
( ! [X0] :
( ~ p505(sK91)
| ~ r1(X0,sK91)
| ~ sP11(X0) )
| ~ spl92_576 ),
inference(resolution,[],[f7376,f359]) ).
fof(f359,plain,
! [X0,X1] :
( ~ p405(sK69(X1))
| ~ p505(X1)
| ~ r1(X0,X1)
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0] :
( ! [X1] :
( ( ~ p405(sK69(X1))
& r1(X1,sK69(X1)) )
| ~ p505(X1)
| ~ r1(X0,X1) )
| ~ sP11(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK69])],[f168,f169]) ).
fof(f169,plain,
! [X1] :
( ? [X2] :
( ~ p405(X2)
& r1(X1,X2) )
=> ( ~ p405(sK69(X1))
& r1(X1,sK69(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f168,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p405(X2)
& r1(X1,X2) )
| ~ p505(X1)
| ~ r1(X0,X1) )
| ~ sP11(X0) ),
inference(rectify,[],[f167]) ).
fof(f167,plain,
! [X11] :
( ! [X132] :
( ? [X133] :
( ~ p405(X133)
& r1(X132,X133) )
| ~ p505(X132)
| ~ r1(X11,X132) )
| ~ sP11(X11) ),
inference(nnf_transformation,[],[f22]) ).
fof(f7376,plain,
( p405(sK69(sK91))
| ~ spl92_576 ),
inference(avatar_component_clause,[],[f7374]) ).
fof(f7377,plain,
( spl92_87
| spl92_576
| ~ spl92_16
| ~ spl92_21 ),
inference(avatar_split_clause,[],[f7372,f486,f466,f7374,f821]) ).
fof(f7372,plain,
( ! [X0] :
( p405(sK69(sK91))
| ~ r1(X0,sK91)
| ~ sP11(X0) )
| ~ spl92_16
| ~ spl92_21 ),
inference(subsumption_resolution,[],[f7234,f488]) ).
fof(f488,plain,
( p505(sK91)
| ~ spl92_21 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f7234,plain,
( ! [X0] :
( p405(sK69(sK91))
| ~ p505(sK91)
| ~ r1(X0,sK91)
| ~ sP11(X0) )
| ~ spl92_16 ),
inference(resolution,[],[f467,f358]) ).
fof(f358,plain,
! [X0,X1] :
( r1(X1,sK69(X1))
| ~ p505(X1)
| ~ r1(X0,X1)
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f7371,plain,
~ spl92_87,
inference(avatar_contradiction_clause,[],[f7370]) ).
fof(f7370,plain,
( $false
| ~ spl92_87 ),
inference(subsumption_resolution,[],[f7368,f527]) ).
fof(f7368,plain,
( ~ sP40(sK91)
| ~ spl92_87 ),
inference(resolution,[],[f7365,f229]) ).
fof(f229,plain,
! [X0] :
( sP11(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f7365,plain,
( ~ sP11(sK91)
| ~ spl92_87 ),
inference(resolution,[],[f822,f410]) ).
fof(f822,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP11(X0) )
| ~ spl92_87 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f7177,plain,
( spl92_51
| ~ spl92_18
| ~ spl92_8 ),
inference(avatar_split_clause,[],[f7176,f435,f473,f670]) ).
fof(f670,plain,
( spl92_51
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP29(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_51])]) ).
fof(f435,plain,
( spl92_8
<=> ! [X5] :
( p203(X5)
| ~ r1(sK91,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_8])]) ).
fof(f7176,plain,
( ! [X0] :
( ~ p403(sK91)
| ~ r1(X0,sK91)
| ~ sP29(X0) )
| ~ spl92_8 ),
inference(subsumption_resolution,[],[f7024,f323]) ).
fof(f323,plain,
! [X0,X1] :
( ~ p203(sK51(X1))
| ~ p403(X1)
| ~ r1(X0,X1)
| ~ sP29(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ! [X1] :
( ( ~ p203(sK51(X1))
& r1(X1,sK51(X1)) )
| ~ p403(X1)
| ~ r1(X0,X1) )
| ~ sP29(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK51])],[f96,f97]) ).
fof(f97,plain,
! [X1] :
( ? [X2] :
( ~ p203(X2)
& r1(X1,X2) )
=> ( ~ p203(sK51(X1))
& r1(X1,sK51(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p203(X2)
& r1(X1,X2) )
| ~ p403(X1)
| ~ r1(X0,X1) )
| ~ sP29(X0) ),
inference(rectify,[],[f95]) ).
fof(f95,plain,
! [X11] :
( ! [X60] :
( ? [X61] :
( ~ p203(X61)
& r1(X60,X61) )
| ~ p403(X60)
| ~ r1(X11,X60) )
| ~ sP29(X11) ),
inference(nnf_transformation,[],[f40]) ).
fof(f7024,plain,
( ! [X0] :
( p203(sK51(sK91))
| ~ p403(sK91)
| ~ r1(X0,sK91)
| ~ sP29(X0) )
| ~ spl92_8 ),
inference(resolution,[],[f436,f322]) ).
fof(f322,plain,
! [X0,X1] :
( r1(X1,sK51(X1))
| ~ p403(X1)
| ~ r1(X0,X1)
| ~ sP29(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f436,plain,
( ! [X5] :
( ~ r1(sK91,X5)
| p203(X5) )
| ~ spl92_8 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f7175,plain,
( spl92_91
| spl92_94
| ~ spl92_8
| spl92_92 ),
inference(avatar_split_clause,[],[f7174,f841,f435,f850,f838]) ).
fof(f838,plain,
( spl92_91
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP9(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_91])]) ).
fof(f850,plain,
( spl92_94
<=> r1(sK91,sK71(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_94])]) ).
fof(f841,plain,
( spl92_92
<=> p203(sK72(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_92])]) ).
fof(f7174,plain,
( ! [X0] :
( r1(sK91,sK71(sK91))
| ~ r1(X0,sK91)
| ~ sP9(X0) )
| ~ spl92_8
| spl92_92 ),
inference(subsumption_resolution,[],[f7045,f843]) ).
fof(f843,plain,
( ~ p203(sK72(sK91))
| spl92_92 ),
inference(avatar_component_clause,[],[f841]) ).
fof(f7045,plain,
( ! [X0] :
( p203(sK72(sK91))
| r1(sK91,sK71(sK91))
| ~ r1(X0,sK91)
| ~ sP9(X0) )
| ~ spl92_8 ),
inference(resolution,[],[f436,f362]) ).
fof(f362,plain,
! [X0,X1] :
( r1(X1,sK72(X1))
| r1(X1,sK71(X1))
| ~ r1(X0,X1)
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0] :
( ! [X1] :
( ( ~ p103(sK71(X1))
& r1(X1,sK71(X1)) )
| ( ~ p203(sK72(X1))
& r1(X1,sK72(X1)) )
| ~ r1(X0,X1) )
| ~ sP9(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK71,sK72])],[f176,f178,f177]) ).
fof(f177,plain,
! [X1] :
( ? [X2] :
( ~ p103(X2)
& r1(X1,X2) )
=> ( ~ p103(sK71(X1))
& r1(X1,sK71(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f178,plain,
! [X1] :
( ? [X3] :
( ~ p203(X3)
& r1(X1,X3) )
=> ( ~ p203(sK72(X1))
& r1(X1,sK72(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f176,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p103(X2)
& r1(X1,X2) )
| ? [X3] :
( ~ p203(X3)
& r1(X1,X3) )
| ~ r1(X0,X1) )
| ~ sP9(X0) ),
inference(rectify,[],[f175]) ).
fof(f175,plain,
! [X11] :
( ! [X47] :
( ? [X48] :
( ~ p103(X48)
& r1(X47,X48) )
| ? [X49] :
( ~ p203(X49)
& r1(X47,X49) )
| ~ r1(X11,X47) )
| ~ sP9(X11) ),
inference(nnf_transformation,[],[f20]) ).
fof(f7148,plain,
( spl92_53
| ~ spl92_23
| ~ spl92_8 ),
inference(avatar_split_clause,[],[f7147,f435,f494,f678]) ).
fof(f678,plain,
( spl92_53
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP28(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_53])]) ).
fof(f494,plain,
( spl92_23
<=> p503(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_23])]) ).
fof(f7147,plain,
( ! [X0] :
( ~ p503(sK91)
| ~ r1(X0,sK91)
| ~ sP28(X0) )
| ~ spl92_8 ),
inference(subsumption_resolution,[],[f7025,f325]) ).
fof(f325,plain,
! [X0,X1] :
( ~ p203(sK52(X1))
| ~ p503(X1)
| ~ r1(X0,X1)
| ~ sP28(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( ( ~ p203(sK52(X1))
& r1(X1,sK52(X1)) )
| ~ p503(X1)
| ~ r1(X0,X1) )
| ~ sP28(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK52])],[f100,f101]) ).
fof(f101,plain,
! [X1] :
( ? [X2] :
( ~ p203(X2)
& r1(X1,X2) )
=> ( ~ p203(sK52(X1))
& r1(X1,sK52(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p203(X2)
& r1(X1,X2) )
| ~ p503(X1)
| ~ r1(X0,X1) )
| ~ sP28(X0) ),
inference(rectify,[],[f99]) ).
fof(f99,plain,
! [X11] :
( ! [X62] :
( ? [X63] :
( ~ p203(X63)
& r1(X62,X63) )
| ~ p503(X62)
| ~ r1(X11,X62) )
| ~ sP28(X11) ),
inference(nnf_transformation,[],[f39]) ).
fof(f7025,plain,
( ! [X0] :
( p203(sK52(sK91))
| ~ p503(sK91)
| ~ r1(X0,sK91)
| ~ sP28(X0) )
| ~ spl92_8 ),
inference(resolution,[],[f436,f324]) ).
fof(f324,plain,
! [X0,X1] :
( r1(X1,sK52(X1))
| ~ p503(X1)
| ~ r1(X0,X1)
| ~ sP28(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f7143,plain,
( spl92_91
| ~ spl92_92
| ~ spl92_3
| spl92_96 ),
inference(avatar_split_clause,[],[f7142,f859,f418,f841,f838]) ).
fof(f859,plain,
( spl92_96
<=> p103(sK71(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_96])]) ).
fof(f7142,plain,
( ! [X0] :
( ~ p203(sK72(sK91))
| ~ r1(X0,sK91)
| ~ sP9(X0) )
| ~ spl92_3
| spl92_96 ),
inference(subsumption_resolution,[],[f6933,f861]) ).
fof(f861,plain,
( ~ p103(sK71(sK91))
| spl92_96 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f6933,plain,
( ! [X0] :
( p103(sK71(sK91))
| ~ p203(sK72(sK91))
| ~ r1(X0,sK91)
| ~ sP9(X0) )
| ~ spl92_3 ),
inference(resolution,[],[f419,f363]) ).
fof(f363,plain,
! [X0,X1] :
( r1(X1,sK71(X1))
| ~ p203(sK72(X1))
| ~ r1(X0,X1)
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f7133,plain,
( spl92_91
| ~ spl92_92
| ~ spl92_96 ),
inference(avatar_split_clause,[],[f6291,f859,f841,f838]) ).
fof(f6291,plain,
( ! [X0] :
( ~ p203(sK72(sK91))
| ~ r1(X0,sK91)
| ~ sP9(X0) )
| ~ spl92_96 ),
inference(resolution,[],[f860,f365]) ).
fof(f365,plain,
! [X0,X1] :
( ~ p103(sK71(X1))
| ~ p203(sK72(X1))
| ~ r1(X0,X1)
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f860,plain,
( p103(sK71(sK91))
| ~ spl92_96 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f7132,plain,
( spl92_91
| spl92_92
| ~ spl92_8
| ~ spl92_96 ),
inference(avatar_split_clause,[],[f7131,f859,f435,f841,f838]) ).
fof(f7131,plain,
( ! [X0] :
( p203(sK72(sK91))
| ~ r1(X0,sK91)
| ~ sP9(X0) )
| ~ spl92_8
| ~ spl92_96 ),
inference(subsumption_resolution,[],[f7046,f860]) ).
fof(f7046,plain,
( ! [X0] :
( p203(sK72(sK91))
| ~ p103(sK71(sK91))
| ~ r1(X0,sK91)
| ~ sP9(X0) )
| ~ spl92_8 ),
inference(resolution,[],[f436,f364]) ).
fof(f364,plain,
! [X0,X1] :
( r1(X1,sK72(X1))
| ~ p103(sK71(X1))
| ~ r1(X0,X1)
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f6893,plain,
( ~ spl92_17
| ~ spl92_27 ),
inference(avatar_contradiction_clause,[],[f6892]) ).
fof(f6892,plain,
( $false
| ~ spl92_17
| ~ spl92_27 ),
inference(unit_resulting_resolution,[],[f527,f471,f410,f513,f243]) ).
fof(f243,plain,
! [X0,X33] :
( ~ r1(X0,X33)
| ~ p604(X33)
| ~ p404(X33)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f471,plain,
( p404(sK91)
| ~ spl92_17 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f469,plain,
( spl92_17
<=> p404(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_17])]) ).
fof(f6891,plain,
( ~ spl92_5
| ~ spl92_30 ),
inference(avatar_contradiction_clause,[],[f6890]) ).
fof(f6890,plain,
( $false
| ~ spl92_5
| ~ spl92_30 ),
inference(unit_resulting_resolution,[],[f527,f426,f410,f525,f297]) ).
fof(f297,plain,
! [X0,X5] :
( ~ r1(X0,X5)
| ~ p601(X5)
| ~ p101(X5)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f6889,plain,
( ~ spl92_5
| ~ spl92_10 ),
inference(avatar_contradiction_clause,[],[f6888]) ).
fof(f6888,plain,
( $false
| ~ spl92_5
| ~ spl92_10 ),
inference(unit_resulting_resolution,[],[f527,f426,f410,f444,f301]) ).
fof(f301,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| ~ p201(X1)
| ~ p101(X1)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f6887,plain,
( spl92_57
| ~ spl92_17
| ~ spl92_535 ),
inference(avatar_split_clause,[],[f6886,f6856,f469,f694]) ).
fof(f694,plain,
( spl92_57
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP26(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_57])]) ).
fof(f6856,plain,
( spl92_535
<=> p104(sK54(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_535])]) ).
fof(f6886,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP26(X0) )
| ~ spl92_17
| ~ spl92_535 ),
inference(subsumption_resolution,[],[f6885,f471]) ).
fof(f6885,plain,
( ! [X0] :
( ~ p404(sK91)
| ~ r1(X0,sK91)
| ~ sP26(X0) )
| ~ spl92_535 ),
inference(resolution,[],[f6858,f329]) ).
fof(f329,plain,
! [X0,X1] :
( ~ p104(sK54(X1))
| ~ p404(X1)
| ~ r1(X0,X1)
| ~ sP26(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( ( ~ p104(sK54(X1))
& r1(X1,sK54(X1)) )
| ~ p404(X1)
| ~ r1(X0,X1) )
| ~ sP26(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK54])],[f108,f109]) ).
fof(f109,plain,
! [X1] :
( ? [X2] :
( ~ p104(X2)
& r1(X1,X2) )
=> ( ~ p104(sK54(X1))
& r1(X1,sK54(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f108,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p104(X2)
& r1(X1,X2) )
| ~ p404(X1)
| ~ r1(X0,X1) )
| ~ sP26(X0) ),
inference(rectify,[],[f107]) ).
fof(f107,plain,
! [X11] :
( ! [X78] :
( ? [X79] :
( ~ p104(X79)
& r1(X78,X79) )
| ~ p404(X78)
| ~ r1(X11,X78) )
| ~ sP26(X11) ),
inference(nnf_transformation,[],[f37]) ).
fof(f6858,plain,
( p104(sK54(sK91))
| ~ spl92_535 ),
inference(avatar_component_clause,[],[f6856]) ).
fof(f6859,plain,
( spl92_57
| spl92_535
| ~ spl92_2
| ~ spl92_17 ),
inference(avatar_split_clause,[],[f6854,f469,f415,f6856,f694]) ).
fof(f6854,plain,
( ! [X0] :
( p104(sK54(sK91))
| ~ r1(X0,sK91)
| ~ sP26(X0) )
| ~ spl92_2
| ~ spl92_17 ),
inference(subsumption_resolution,[],[f6795,f471]) ).
fof(f6795,plain,
( ! [X0] :
( p104(sK54(sK91))
| ~ p404(sK91)
| ~ r1(X0,sK91)
| ~ sP26(X0) )
| ~ spl92_2 ),
inference(resolution,[],[f416,f328]) ).
fof(f328,plain,
! [X0,X1] :
( r1(X1,sK54(X1))
| ~ p404(X1)
| ~ r1(X0,X1)
| ~ sP26(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f6771,plain,
( ~ spl92_5
| ~ spl92_15 ),
inference(avatar_contradiction_clause,[],[f6770]) ).
fof(f6770,plain,
( $false
| ~ spl92_5
| ~ spl92_15 ),
inference(unit_resulting_resolution,[],[f527,f410,f463,f426,f300]) ).
fof(f300,plain,
! [X2,X0] :
( ~ r1(X0,X2)
| ~ p301(X2)
| ~ p101(X2)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f463,plain,
( p301(sK91)
| ~ spl92_15 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f461,plain,
( spl92_15
<=> p301(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_15])]) ).
fof(f6754,plain,
( spl92_31
| ~ spl92_9
| ~ spl92_4 ),
inference(avatar_split_clause,[],[f6753,f421,f438,f590]) ).
fof(f590,plain,
( spl92_31
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP39(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_31])]) ).
fof(f438,plain,
( spl92_9
<=> p202(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_9])]) ).
fof(f6753,plain,
( ! [X0] :
( ~ p202(sK91)
| ~ r1(X0,sK91)
| ~ sP39(X0) )
| ~ spl92_4 ),
inference(subsumption_resolution,[],[f6307,f303]) ).
fof(f303,plain,
! [X0,X1] :
( ~ p102(sK41(X1))
| ~ p202(X1)
| ~ r1(X0,X1)
| ~ sP39(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ! [X1] :
( ( ~ p102(sK41(X1))
& r1(X1,sK41(X1)) )
| ~ p202(X1)
| ~ r1(X0,X1) )
| ~ sP39(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK41])],[f56,f57]) ).
fof(f57,plain,
! [X1] :
( ? [X2] :
( ~ p102(X2)
& r1(X1,X2) )
=> ( ~ p102(sK41(X1))
& r1(X1,sK41(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p102(X2)
& r1(X1,X2) )
| ~ p202(X1)
| ~ r1(X0,X1) )
| ~ sP39(X0) ),
inference(rectify,[],[f55]) ).
fof(f55,plain,
! [X11] :
( ! [X27] :
( ? [X28] :
( ~ p102(X28)
& r1(X27,X28) )
| ~ p202(X27)
| ~ r1(X11,X27) )
| ~ sP39(X11) ),
inference(nnf_transformation,[],[f50]) ).
fof(f6307,plain,
( ! [X0] :
( p102(sK41(sK91))
| ~ p202(sK91)
| ~ r1(X0,sK91)
| ~ sP39(X0) )
| ~ spl92_4 ),
inference(resolution,[],[f422,f302]) ).
fof(f302,plain,
! [X0,X1] :
( r1(X1,sK41(X1))
| ~ p202(X1)
| ~ r1(X0,X1)
| ~ sP39(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f6752,plain,
~ spl92_67,
inference(avatar_contradiction_clause,[],[f6751]) ).
fof(f6751,plain,
( $false
| ~ spl92_67 ),
inference(subsumption_resolution,[],[f6749,f527]) ).
fof(f6749,plain,
( ~ sP40(sK91)
| ~ spl92_67 ),
inference(resolution,[],[f6746,f248]) ).
fof(f248,plain,
! [X0] :
( sP21(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f6746,plain,
( ~ sP21(sK91)
| ~ spl92_67 ),
inference(resolution,[],[f735,f410]) ).
fof(f735,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP21(X0) )
| ~ spl92_67 ),
inference(avatar_component_clause,[],[f734]) ).
fof(f734,plain,
( spl92_67
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP21(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_67])]) ).
fof(f6744,plain,
( spl92_67
| ~ spl92_27
| ~ spl92_7 ),
inference(avatar_split_clause,[],[f6743,f432,f511,f734]) ).
fof(f432,plain,
( spl92_7
<=> ! [X6] :
( p204(X6)
| ~ r1(sK91,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_7])]) ).
fof(f6743,plain,
( ! [X0] :
( ~ p604(sK91)
| ~ r1(X0,sK91)
| ~ sP21(X0) )
| ~ spl92_7 ),
inference(subsumption_resolution,[],[f6075,f339]) ).
fof(f339,plain,
! [X0,X1] :
( ~ p204(sK59(X1))
| ~ p604(X1)
| ~ r1(X0,X1)
| ~ sP21(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( ( ~ p204(sK59(X1))
& r1(X1,sK59(X1)) )
| ~ p604(X1)
| ~ r1(X0,X1) )
| ~ sP21(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK59])],[f128,f129]) ).
fof(f129,plain,
! [X1] :
( ? [X2] :
( ~ p204(X2)
& r1(X1,X2) )
=> ( ~ p204(sK59(X1))
& r1(X1,sK59(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p204(X2)
& r1(X1,X2) )
| ~ p604(X1)
| ~ r1(X0,X1) )
| ~ sP21(X0) ),
inference(rectify,[],[f127]) ).
fof(f127,plain,
! [X11] :
( ! [X91] :
( ? [X92] :
( ~ p204(X92)
& r1(X91,X92) )
| ~ p604(X91)
| ~ r1(X11,X91) )
| ~ sP21(X11) ),
inference(nnf_transformation,[],[f32]) ).
fof(f6075,plain,
( ! [X0] :
( p204(sK59(sK91))
| ~ p604(sK91)
| ~ r1(X0,sK91)
| ~ sP21(X0) )
| ~ spl92_7 ),
inference(resolution,[],[f433,f338]) ).
fof(f338,plain,
! [X0,X1] :
( r1(X1,sK59(X1))
| ~ p604(X1)
| ~ r1(X0,X1)
| ~ sP21(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f433,plain,
( ! [X6] :
( ~ r1(sK91,X6)
| p204(X6) )
| ~ spl92_7 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f6726,plain,
( ~ spl92_15
| ~ spl92_30 ),
inference(avatar_contradiction_clause,[],[f6725]) ).
fof(f6725,plain,
( $false
| ~ spl92_15
| ~ spl92_30 ),
inference(unit_resulting_resolution,[],[f527,f463,f410,f525,f290]) ).
fof(f290,plain,
! [X0,X12] :
( ~ r1(X0,X12)
| ~ p601(X12)
| ~ p301(X12)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f6698,plain,
( spl92_85
| ~ spl92_26
| ~ spl92_11 ),
inference(avatar_split_clause,[],[f6697,f447,f507,f812]) ).
fof(f812,plain,
( spl92_85
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_85])]) ).
fof(f6697,plain,
( ! [X0] :
( ~ p605(sK91)
| ~ r1(X0,sK91)
| ~ sP12(X0) )
| ~ spl92_11 ),
inference(subsumption_resolution,[],[f6412,f357]) ).
fof(f357,plain,
! [X0,X1] :
( ~ p305(sK68(X1))
| ~ p605(X1)
| ~ r1(X0,X1)
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0] :
( ! [X1] :
( ( ~ p305(sK68(X1))
& r1(X1,sK68(X1)) )
| ~ p605(X1)
| ~ r1(X0,X1) )
| ~ sP12(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK68])],[f164,f165]) ).
fof(f165,plain,
! [X1] :
( ? [X2] :
( ~ p305(X2)
& r1(X1,X2) )
=> ( ~ p305(sK68(X1))
& r1(X1,sK68(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f164,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p305(X2)
& r1(X1,X2) )
| ~ p605(X1)
| ~ r1(X0,X1) )
| ~ sP12(X0) ),
inference(rectify,[],[f163]) ).
fof(f163,plain,
! [X11] :
( ! [X130] :
( ? [X131] :
( ~ p305(X131)
& r1(X130,X131) )
| ~ p605(X130)
| ~ r1(X11,X130) )
| ~ sP12(X11) ),
inference(nnf_transformation,[],[f23]) ).
fof(f6412,plain,
( ! [X0] :
( p305(sK68(sK91))
| ~ p605(sK91)
| ~ r1(X0,sK91)
| ~ sP12(X0) )
| ~ spl92_11 ),
inference(resolution,[],[f448,f356]) ).
fof(f356,plain,
! [X0,X1] :
( r1(X1,sK68(X1))
| ~ p605(X1)
| ~ r1(X0,X1)
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f6646,plain,
( spl92_83
| ~ spl92_21
| ~ spl92_11 ),
inference(avatar_split_clause,[],[f6645,f447,f486,f803]) ).
fof(f803,plain,
( spl92_83
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP13(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_83])]) ).
fof(f6645,plain,
( ! [X0] :
( ~ p505(sK91)
| ~ r1(X0,sK91)
| ~ sP13(X0) )
| ~ spl92_11 ),
inference(subsumption_resolution,[],[f6411,f355]) ).
fof(f355,plain,
! [X0,X1] :
( ~ p305(sK67(X1))
| ~ p505(X1)
| ~ r1(X0,X1)
| ~ sP13(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0] :
( ! [X1] :
( ( ~ p305(sK67(X1))
& r1(X1,sK67(X1)) )
| ~ p505(X1)
| ~ r1(X0,X1) )
| ~ sP13(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK67])],[f160,f161]) ).
fof(f161,plain,
! [X1] :
( ? [X2] :
( ~ p305(X2)
& r1(X1,X2) )
=> ( ~ p305(sK67(X1))
& r1(X1,sK67(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f160,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p305(X2)
& r1(X1,X2) )
| ~ p505(X1)
| ~ r1(X0,X1) )
| ~ sP13(X0) ),
inference(rectify,[],[f159]) ).
fof(f159,plain,
! [X11] :
( ! [X128] :
( ? [X129] :
( ~ p305(X129)
& r1(X128,X129) )
| ~ p505(X128)
| ~ r1(X11,X128) )
| ~ sP13(X11) ),
inference(nnf_transformation,[],[f24]) ).
fof(f6411,plain,
( ! [X0] :
( p305(sK67(sK91))
| ~ p505(sK91)
| ~ r1(X0,sK91)
| ~ sP13(X0) )
| ~ spl92_11 ),
inference(resolution,[],[f448,f354]) ).
fof(f354,plain,
! [X0,X1] :
( r1(X1,sK67(X1))
| ~ p505(X1)
| ~ r1(X0,X1)
| ~ sP13(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f6622,plain,
~ spl92_85,
inference(avatar_contradiction_clause,[],[f6621]) ).
fof(f6621,plain,
( $false
| ~ spl92_85 ),
inference(subsumption_resolution,[],[f6619,f527]) ).
fof(f6619,plain,
( ~ sP40(sK91)
| ~ spl92_85 ),
inference(resolution,[],[f6616,f230]) ).
fof(f230,plain,
! [X0] :
( sP12(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f6616,plain,
( ~ sP12(sK91)
| ~ spl92_85 ),
inference(resolution,[],[f813,f410]) ).
fof(f813,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP12(X0) )
| ~ spl92_85 ),
inference(avatar_component_clause,[],[f812]) ).
fof(f6615,plain,
~ spl92_83,
inference(avatar_contradiction_clause,[],[f6614]) ).
fof(f6614,plain,
( $false
| ~ spl92_83 ),
inference(subsumption_resolution,[],[f6612,f527]) ).
fof(f6612,plain,
( ~ sP40(sK91)
| ~ spl92_83 ),
inference(resolution,[],[f6609,f231]) ).
fof(f231,plain,
! [X0] :
( sP13(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f6609,plain,
( ~ sP13(sK91)
| ~ spl92_83 ),
inference(resolution,[],[f804,f410]) ).
fof(f804,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP13(X0) )
| ~ spl92_83 ),
inference(avatar_component_clause,[],[f803]) ).
fof(f6294,plain,
( spl92_45
| ~ spl92_23
| ~ spl92_487 ),
inference(avatar_split_clause,[],[f6293,f6228,f494,f646]) ).
fof(f646,plain,
( spl92_45
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP32(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_45])]) ).
fof(f6228,plain,
( spl92_487
<=> p103(sK48(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_487])]) ).
fof(f6293,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP32(X0) )
| ~ spl92_23
| ~ spl92_487 ),
inference(subsumption_resolution,[],[f6292,f496]) ).
fof(f496,plain,
( p503(sK91)
| ~ spl92_23 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f6292,plain,
( ! [X0] :
( ~ p503(sK91)
| ~ r1(X0,sK91)
| ~ sP32(X0) )
| ~ spl92_487 ),
inference(resolution,[],[f6230,f317]) ).
fof(f317,plain,
! [X0,X1] :
( ~ p103(sK48(X1))
| ~ p503(X1)
| ~ r1(X0,X1)
| ~ sP32(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ! [X1] :
( ( ~ p103(sK48(X1))
& r1(X1,sK48(X1)) )
| ~ p503(X1)
| ~ r1(X0,X1) )
| ~ sP32(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK48])],[f84,f85]) ).
fof(f85,plain,
! [X1] :
( ? [X2] :
( ~ p103(X2)
& r1(X1,X2) )
=> ( ~ p103(sK48(X1))
& r1(X1,sK48(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p103(X2)
& r1(X1,X2) )
| ~ p503(X1)
| ~ r1(X0,X1) )
| ~ sP32(X0) ),
inference(rectify,[],[f83]) ).
fof(f83,plain,
! [X11] :
( ! [X54] :
( ? [X55] :
( ~ p103(X55)
& r1(X54,X55) )
| ~ p503(X54)
| ~ r1(X11,X54) )
| ~ sP32(X11) ),
inference(nnf_transformation,[],[f43]) ).
fof(f6230,plain,
( p103(sK48(sK91))
| ~ spl92_487 ),
inference(avatar_component_clause,[],[f6228]) ).
fof(f6285,plain,
( spl92_96
| ~ spl92_3
| ~ spl92_94 ),
inference(avatar_split_clause,[],[f6151,f850,f418,f859]) ).
fof(f6151,plain,
( p103(sK71(sK91))
| ~ spl92_3
| ~ spl92_94 ),
inference(resolution,[],[f419,f852]) ).
fof(f852,plain,
( r1(sK91,sK71(sK91))
| ~ spl92_94 ),
inference(avatar_component_clause,[],[f850]) ).
fof(f6231,plain,
( spl92_45
| spl92_487
| ~ spl92_3
| ~ spl92_23 ),
inference(avatar_split_clause,[],[f6226,f494,f418,f6228,f646]) ).
fof(f6226,plain,
( ! [X0] :
( p103(sK48(sK91))
| ~ r1(X0,sK91)
| ~ sP32(X0) )
| ~ spl92_3
| ~ spl92_23 ),
inference(subsumption_resolution,[],[f6164,f496]) ).
fof(f6164,plain,
( ! [X0] :
( p103(sK48(sK91))
| ~ p503(sK91)
| ~ r1(X0,sK91)
| ~ sP32(X0) )
| ~ spl92_3 ),
inference(resolution,[],[f419,f316]) ).
fof(f316,plain,
! [X0,X1] :
( r1(X1,sK48(X1))
| ~ p503(X1)
| ~ r1(X0,X1)
| ~ sP32(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f6149,plain,
( spl92_33
| ~ spl92_14
| ~ spl92_473 ),
inference(avatar_split_clause,[],[f6148,f6005,f457,f598]) ).
fof(f598,plain,
( spl92_33
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP38(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_33])]) ).
fof(f457,plain,
( spl92_14
<=> p302(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_14])]) ).
fof(f6005,plain,
( spl92_473
<=> p102(sK42(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_473])]) ).
fof(f6148,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP38(X0) )
| ~ spl92_14
| ~ spl92_473 ),
inference(subsumption_resolution,[],[f6147,f459]) ).
fof(f459,plain,
( p302(sK91)
| ~ spl92_14 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f6147,plain,
( ! [X0] :
( ~ p302(sK91)
| ~ r1(X0,sK91)
| ~ sP38(X0) )
| ~ spl92_473 ),
inference(resolution,[],[f6007,f305]) ).
fof(f305,plain,
! [X0,X1] :
( ~ p102(sK42(X1))
| ~ p302(X1)
| ~ r1(X0,X1)
| ~ sP38(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ! [X1] :
( ( ~ p102(sK42(X1))
& r1(X1,sK42(X1)) )
| ~ p302(X1)
| ~ r1(X0,X1) )
| ~ sP38(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK42])],[f60,f61]) ).
fof(f61,plain,
! [X1] :
( ? [X2] :
( ~ p102(X2)
& r1(X1,X2) )
=> ( ~ p102(sK42(X1))
& r1(X1,sK42(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p102(X2)
& r1(X1,X2) )
| ~ p302(X1)
| ~ r1(X0,X1) )
| ~ sP38(X0) ),
inference(rectify,[],[f59]) ).
fof(f59,plain,
! [X11] :
( ! [X29] :
( ? [X30] :
( ~ p102(X30)
& r1(X29,X30) )
| ~ p302(X29)
| ~ r1(X11,X29) )
| ~ sP38(X11) ),
inference(nnf_transformation,[],[f49]) ).
fof(f6007,plain,
( p102(sK42(sK91))
| ~ spl92_473 ),
inference(avatar_component_clause,[],[f6005]) ).
fof(f6008,plain,
( spl92_33
| spl92_473
| ~ spl92_4
| ~ spl92_14 ),
inference(avatar_split_clause,[],[f6003,f457,f421,f6005,f598]) ).
fof(f6003,plain,
( ! [X0] :
( p102(sK42(sK91))
| ~ r1(X0,sK91)
| ~ sP38(X0) )
| ~ spl92_4
| ~ spl92_14 ),
inference(subsumption_resolution,[],[f5944,f459]) ).
fof(f5944,plain,
( ! [X0] :
( p102(sK42(sK91))
| ~ p302(sK91)
| ~ r1(X0,sK91)
| ~ sP38(X0) )
| ~ spl92_4 ),
inference(resolution,[],[f422,f304]) ).
fof(f304,plain,
! [X0,X1] :
( r1(X1,sK42(X1))
| ~ p302(X1)
| ~ r1(X0,X1)
| ~ sP38(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f5936,plain,
( ~ spl92_15
| ~ spl92_20 ),
inference(avatar_contradiction_clause,[],[f5935]) ).
fof(f5935,plain,
( $false
| ~ spl92_15
| ~ spl92_20 ),
inference(unit_resulting_resolution,[],[f527,f410,f483,f463,f292]) ).
fof(f292,plain,
! [X10,X0] :
( ~ r1(X0,X10)
| ~ p401(X10)
| ~ p301(X10)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f483,plain,
( p401(sK91)
| ~ spl92_20 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f481,plain,
( spl92_20
<=> p401(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_20])]) ).
fof(f5934,plain,
( ~ spl92_21
| ~ spl92_26 ),
inference(avatar_contradiction_clause,[],[f5933]) ).
fof(f5933,plain,
( $false
| ~ spl92_21
| ~ spl92_26 ),
inference(unit_resulting_resolution,[],[f527,f488,f410,f509,f227]) ).
fof(f227,plain,
! [X0,X35] :
( ~ r1(X0,X35)
| ~ p605(X35)
| ~ p505(X35)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f509,plain,
( p605(sK91)
| ~ spl92_26 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f5932,plain,
( spl92_79
| ~ spl92_21
| ~ spl92_472 ),
inference(avatar_split_clause,[],[f5931,f5926,f486,f785]) ).
fof(f785,plain,
( spl92_79
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP15(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_79])]) ).
fof(f5926,plain,
( spl92_472
<=> p205(sK65(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_472])]) ).
fof(f5931,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP15(X0) )
| ~ spl92_21
| ~ spl92_472 ),
inference(subsumption_resolution,[],[f5930,f488]) ).
fof(f5930,plain,
( ! [X0] :
( ~ p505(sK91)
| ~ r1(X0,sK91)
| ~ sP15(X0) )
| ~ spl92_472 ),
inference(resolution,[],[f5928,f351]) ).
fof(f351,plain,
! [X0,X1] :
( ~ p205(sK65(X1))
| ~ p505(X1)
| ~ r1(X0,X1)
| ~ sP15(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0] :
( ! [X1] :
( ( ~ p205(sK65(X1))
& r1(X1,sK65(X1)) )
| ~ p505(X1)
| ~ r1(X0,X1) )
| ~ sP15(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK65])],[f152,f153]) ).
fof(f153,plain,
! [X1] :
( ? [X2] :
( ~ p205(X2)
& r1(X1,X2) )
=> ( ~ p205(sK65(X1))
& r1(X1,sK65(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p205(X2)
& r1(X1,X2) )
| ~ p505(X1)
| ~ r1(X0,X1) )
| ~ sP15(X0) ),
inference(rectify,[],[f151]) ).
fof(f151,plain,
! [X11] :
( ! [X121] :
( ? [X122] :
( ~ p205(X122)
& r1(X121,X122) )
| ~ p505(X121)
| ~ r1(X11,X121) )
| ~ sP15(X11) ),
inference(nnf_transformation,[],[f26]) ).
fof(f5928,plain,
( p205(sK65(sK91))
| ~ spl92_472 ),
inference(avatar_component_clause,[],[f5926]) ).
fof(f5929,plain,
( spl92_79
| spl92_472
| ~ spl92_6
| ~ spl92_21 ),
inference(avatar_split_clause,[],[f5924,f486,f429,f5926,f785]) ).
fof(f5924,plain,
( ! [X0] :
( p205(sK65(sK91))
| ~ r1(X0,sK91)
| ~ sP15(X0) )
| ~ spl92_6
| ~ spl92_21 ),
inference(subsumption_resolution,[],[f5538,f488]) ).
fof(f5538,plain,
( ! [X0] :
( p205(sK65(sK91))
| ~ p505(sK91)
| ~ r1(X0,sK91)
| ~ sP15(X0) )
| ~ spl92_6 ),
inference(resolution,[],[f430,f350]) ).
fof(f350,plain,
! [X0,X1] :
( r1(X1,sK65(X1))
| ~ p505(X1)
| ~ r1(X0,X1)
| ~ sP15(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f5917,plain,
~ spl92_79,
inference(avatar_contradiction_clause,[],[f5916]) ).
fof(f5916,plain,
( $false
| ~ spl92_79 ),
inference(subsumption_resolution,[],[f5914,f527]) ).
fof(f5914,plain,
( ~ sP40(sK91)
| ~ spl92_79 ),
inference(resolution,[],[f5911,f234]) ).
fof(f234,plain,
! [X0] :
( sP15(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f5911,plain,
( ~ sP15(sK91)
| ~ spl92_79 ),
inference(resolution,[],[f786,f410]) ).
fof(f786,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP15(X0) )
| ~ spl92_79 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f5910,plain,
~ spl92_31,
inference(avatar_contradiction_clause,[],[f5909]) ).
fof(f5909,plain,
( $false
| ~ spl92_31 ),
inference(subsumption_resolution,[],[f5907,f527]) ).
fof(f5907,plain,
( ~ sP40(sK91)
| ~ spl92_31 ),
inference(resolution,[],[f5904,f286]) ).
fof(f286,plain,
! [X0] :
( sP39(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f5904,plain,
( ~ sP39(sK91)
| ~ spl92_31 ),
inference(resolution,[],[f591,f410]) ).
fof(f591,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP39(X0) )
| ~ spl92_31 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f5772,plain,
( ~ spl92_5
| ~ spl92_20 ),
inference(avatar_contradiction_clause,[],[f5771]) ).
fof(f5771,plain,
( $false
| ~ spl92_5
| ~ spl92_20 ),
inference(unit_resulting_resolution,[],[f527,f410,f483,f426,f299]) ).
fof(f299,plain,
! [X3,X0] :
( ~ r1(X0,X3)
| ~ p401(X3)
| ~ p101(X3)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f5770,plain,
( spl92_59
| ~ spl92_22
| ~ spl92_457 ),
inference(avatar_split_clause,[],[f5769,f5714,f490,f702]) ).
fof(f702,plain,
( spl92_59
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP25(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_59])]) ).
fof(f5714,plain,
( spl92_457
<=> p104(sK55(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_457])]) ).
fof(f5769,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP25(X0) )
| ~ spl92_22
| ~ spl92_457 ),
inference(subsumption_resolution,[],[f5768,f492]) ).
fof(f5768,plain,
( ! [X0] :
( ~ p504(sK91)
| ~ r1(X0,sK91)
| ~ sP25(X0) )
| ~ spl92_457 ),
inference(resolution,[],[f5716,f331]) ).
fof(f331,plain,
! [X0,X1] :
( ~ p104(sK55(X1))
| ~ p504(X1)
| ~ r1(X0,X1)
| ~ sP25(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ! [X1] :
( ( ~ p104(sK55(X1))
& r1(X1,sK55(X1)) )
| ~ p504(X1)
| ~ r1(X0,X1) )
| ~ sP25(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK55])],[f112,f113]) ).
fof(f113,plain,
! [X1] :
( ? [X2] :
( ~ p104(X2)
& r1(X1,X2) )
=> ( ~ p104(sK55(X1))
& r1(X1,sK55(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p104(X2)
& r1(X1,X2) )
| ~ p504(X1)
| ~ r1(X0,X1) )
| ~ sP25(X0) ),
inference(rectify,[],[f111]) ).
fof(f111,plain,
! [X11] :
( ! [X80] :
( ? [X81] :
( ~ p104(X81)
& r1(X80,X81) )
| ~ p504(X80)
| ~ r1(X11,X80) )
| ~ sP25(X11) ),
inference(nnf_transformation,[],[f36]) ).
fof(f5716,plain,
( p104(sK55(sK91))
| ~ spl92_457 ),
inference(avatar_component_clause,[],[f5714]) ).
fof(f5717,plain,
( spl92_59
| spl92_457
| ~ spl92_2
| ~ spl92_22 ),
inference(avatar_split_clause,[],[f5712,f490,f415,f5714,f702]) ).
fof(f5712,plain,
( ! [X0] :
( p104(sK55(sK91))
| ~ r1(X0,sK91)
| ~ sP25(X0) )
| ~ spl92_2
| ~ spl92_22 ),
inference(subsumption_resolution,[],[f5648,f492]) ).
fof(f5648,plain,
( ! [X0] :
( p104(sK55(sK91))
| ~ p504(sK91)
| ~ r1(X0,sK91)
| ~ sP25(X0) )
| ~ spl92_2 ),
inference(resolution,[],[f416,f330]) ).
fof(f330,plain,
! [X0,X1] :
( r1(X1,sK55(X1))
| ~ p504(X1)
| ~ r1(X0,X1)
| ~ sP25(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f5699,plain,
( ~ spl92_2
| ~ spl92_106
| spl92_108 ),
inference(avatar_contradiction_clause,[],[f5698]) ).
fof(f5698,plain,
( $false
| ~ spl92_2
| ~ spl92_106
| spl92_108 ),
inference(subsumption_resolution,[],[f5629,f913]) ).
fof(f913,plain,
( ~ p104(sK75(sK91))
| spl92_108 ),
inference(avatar_component_clause,[],[f911]) ).
fof(f911,plain,
( spl92_108
<=> p104(sK75(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_108])]) ).
fof(f5629,plain,
( p104(sK75(sK91))
| ~ spl92_2
| ~ spl92_106 ),
inference(resolution,[],[f416,f904]) ).
fof(f904,plain,
( r1(sK91,sK75(sK91))
| ~ spl92_106 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f902,plain,
( spl92_106
<=> r1(sK91,sK75(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_106])]) ).
fof(f5697,plain,
( ~ spl92_2
| ~ spl92_100
| spl92_102 ),
inference(avatar_contradiction_clause,[],[f5696]) ).
fof(f5696,plain,
( $false
| ~ spl92_2
| ~ spl92_100
| spl92_102 ),
inference(subsumption_resolution,[],[f5628,f887]) ).
fof(f887,plain,
( ~ p104(sK73(sK91))
| spl92_102 ),
inference(avatar_component_clause,[],[f885]) ).
fof(f885,plain,
( spl92_102
<=> p104(sK73(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_102])]) ).
fof(f5628,plain,
( p104(sK73(sK91))
| ~ spl92_2
| ~ spl92_100 ),
inference(resolution,[],[f416,f878]) ).
fof(f878,plain,
( r1(sK91,sK73(sK91))
| ~ spl92_100 ),
inference(avatar_component_clause,[],[f876]) ).
fof(f876,plain,
( spl92_100
<=> r1(sK91,sK73(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_100])]) ).
fof(f5624,plain,
( spl92_39
| ~ spl92_29
| ~ spl92_438 ),
inference(avatar_split_clause,[],[f5623,f5455,f519,f622]) ).
fof(f622,plain,
( spl92_39
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP35(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_39])]) ).
fof(f519,plain,
( spl92_29
<=> p602(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_29])]) ).
fof(f5455,plain,
( spl92_438
<=> p102(sK45(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_438])]) ).
fof(f5623,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP35(X0) )
| ~ spl92_29
| ~ spl92_438 ),
inference(subsumption_resolution,[],[f5622,f521]) ).
fof(f521,plain,
( p602(sK91)
| ~ spl92_29 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f5622,plain,
( ! [X0] :
( ~ p602(sK91)
| ~ r1(X0,sK91)
| ~ sP35(X0) )
| ~ spl92_438 ),
inference(resolution,[],[f5457,f311]) ).
fof(f311,plain,
! [X0,X1] :
( ~ p102(sK45(X1))
| ~ p602(X1)
| ~ r1(X0,X1)
| ~ sP35(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( ( ~ p102(sK45(X1))
& r1(X1,sK45(X1)) )
| ~ p602(X1)
| ~ r1(X0,X1) )
| ~ sP35(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK45])],[f72,f73]) ).
fof(f73,plain,
! [X1] :
( ? [X2] :
( ~ p102(X2)
& r1(X1,X2) )
=> ( ~ p102(sK45(X1))
& r1(X1,sK45(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p102(X2)
& r1(X1,X2) )
| ~ p602(X1)
| ~ r1(X0,X1) )
| ~ sP35(X0) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
! [X11] :
( ! [X35] :
( ? [X36] :
( ~ p102(X36)
& r1(X35,X36) )
| ~ p602(X35)
| ~ r1(X11,X35) )
| ~ sP35(X11) ),
inference(nnf_transformation,[],[f46]) ).
fof(f5457,plain,
( p102(sK45(sK91))
| ~ spl92_438 ),
inference(avatar_component_clause,[],[f5455]) ).
fof(f5458,plain,
( spl92_39
| spl92_438
| ~ spl92_4
| ~ spl92_29 ),
inference(avatar_split_clause,[],[f5453,f519,f421,f5455,f622]) ).
fof(f5453,plain,
( ! [X0] :
( p102(sK45(sK91))
| ~ r1(X0,sK91)
| ~ sP35(X0) )
| ~ spl92_4
| ~ spl92_29 ),
inference(subsumption_resolution,[],[f5397,f521]) ).
fof(f5397,plain,
( ! [X0] :
( p102(sK45(sK91))
| ~ p602(sK91)
| ~ r1(X0,sK91)
| ~ sP35(X0) )
| ~ spl92_4 ),
inference(resolution,[],[f422,f310]) ).
fof(f310,plain,
! [X0,X1] :
( r1(X1,sK45(X1))
| ~ p602(X1)
| ~ r1(X0,X1)
| ~ sP35(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f5385,plain,
( ~ spl92_9
| ~ spl92_29 ),
inference(avatar_contradiction_clause,[],[f5384]) ).
fof(f5384,plain,
( $false
| ~ spl92_9
| ~ spl92_29 ),
inference(unit_resulting_resolution,[],[f527,f410,f521,f440,f278]) ).
fof(f278,plain,
! [X0,X19] :
( ~ r1(X0,X19)
| ~ p602(X19)
| ~ p202(X19)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f440,plain,
( p202(sK91)
| ~ spl92_9 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f5383,plain,
( spl92_49
| ~ spl92_13
| ~ spl92_431 ),
inference(avatar_split_clause,[],[f5382,f5341,f453,f662]) ).
fof(f662,plain,
( spl92_49
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP30(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_49])]) ).
fof(f453,plain,
( spl92_13
<=> p303(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_13])]) ).
fof(f5341,plain,
( spl92_431
<=> p203(sK50(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_431])]) ).
fof(f5382,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP30(X0) )
| ~ spl92_13
| ~ spl92_431 ),
inference(subsumption_resolution,[],[f5381,f455]) ).
fof(f455,plain,
( p303(sK91)
| ~ spl92_13 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f5381,plain,
( ! [X0] :
( ~ p303(sK91)
| ~ r1(X0,sK91)
| ~ sP30(X0) )
| ~ spl92_431 ),
inference(resolution,[],[f5343,f321]) ).
fof(f321,plain,
! [X0,X1] :
( ~ p203(sK50(X1))
| ~ p303(X1)
| ~ r1(X0,X1)
| ~ sP30(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ! [X1] :
( ( ~ p203(sK50(X1))
& r1(X1,sK50(X1)) )
| ~ p303(X1)
| ~ r1(X0,X1) )
| ~ sP30(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK50])],[f92,f93]) ).
fof(f93,plain,
! [X1] :
( ? [X2] :
( ~ p203(X2)
& r1(X1,X2) )
=> ( ~ p203(sK50(X1))
& r1(X1,sK50(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p203(X2)
& r1(X1,X2) )
| ~ p303(X1)
| ~ r1(X0,X1) )
| ~ sP30(X0) ),
inference(rectify,[],[f91]) ).
fof(f91,plain,
! [X11] :
( ! [X58] :
( ? [X59] :
( ~ p203(X59)
& r1(X58,X59) )
| ~ p303(X58)
| ~ r1(X11,X58) )
| ~ sP30(X11) ),
inference(nnf_transformation,[],[f41]) ).
fof(f5343,plain,
( p203(sK50(sK91))
| ~ spl92_431 ),
inference(avatar_component_clause,[],[f5341]) ).
fof(f5344,plain,
( spl92_49
| spl92_431
| ~ spl92_8
| ~ spl92_13 ),
inference(avatar_split_clause,[],[f5339,f453,f435,f5341,f662]) ).
fof(f5339,plain,
( ! [X0] :
( p203(sK50(sK91))
| ~ r1(X0,sK91)
| ~ sP30(X0) )
| ~ spl92_8
| ~ spl92_13 ),
inference(subsumption_resolution,[],[f5276,f455]) ).
fof(f5276,plain,
( ! [X0] :
( p203(sK50(sK91))
| ~ p303(sK91)
| ~ r1(X0,sK91)
| ~ sP30(X0) )
| ~ spl92_8 ),
inference(resolution,[],[f436,f320]) ).
fof(f320,plain,
! [X0,X1] :
( r1(X1,sK50(X1))
| ~ p303(X1)
| ~ r1(X0,X1)
| ~ sP30(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f5259,plain,
( spl92_65
| ~ spl92_22
| ~ spl92_427 ),
inference(avatar_split_clause,[],[f5258,f5245,f490,f726]) ).
fof(f726,plain,
( spl92_65
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP22(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_65])]) ).
fof(f5245,plain,
( spl92_427
<=> p204(sK58(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_427])]) ).
fof(f5258,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP22(X0) )
| ~ spl92_22
| ~ spl92_427 ),
inference(subsumption_resolution,[],[f5257,f492]) ).
fof(f5257,plain,
( ! [X0] :
( ~ p504(sK91)
| ~ r1(X0,sK91)
| ~ sP22(X0) )
| ~ spl92_427 ),
inference(resolution,[],[f5247,f337]) ).
fof(f337,plain,
! [X0,X1] :
( ~ p204(sK58(X1))
| ~ p504(X1)
| ~ r1(X0,X1)
| ~ sP22(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( ( ~ p204(sK58(X1))
& r1(X1,sK58(X1)) )
| ~ p504(X1)
| ~ r1(X0,X1) )
| ~ sP22(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK58])],[f124,f125]) ).
fof(f125,plain,
! [X1] :
( ? [X2] :
( ~ p204(X2)
& r1(X1,X2) )
=> ( ~ p204(sK58(X1))
& r1(X1,sK58(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p204(X2)
& r1(X1,X2) )
| ~ p504(X1)
| ~ r1(X0,X1) )
| ~ sP22(X0) ),
inference(rectify,[],[f123]) ).
fof(f123,plain,
! [X11] :
( ! [X89] :
( ? [X90] :
( ~ p204(X90)
& r1(X89,X90) )
| ~ p504(X89)
| ~ r1(X11,X89) )
| ~ sP22(X11) ),
inference(nnf_transformation,[],[f33]) ).
fof(f5247,plain,
( p204(sK58(sK91))
| ~ spl92_427 ),
inference(avatar_component_clause,[],[f5245]) ).
fof(f5248,plain,
( spl92_65
| spl92_427
| ~ spl92_7
| ~ spl92_22 ),
inference(avatar_split_clause,[],[f5243,f490,f432,f5245,f726]) ).
fof(f5243,plain,
( ! [X0] :
( p204(sK58(sK91))
| ~ r1(X0,sK91)
| ~ sP22(X0) )
| ~ spl92_7
| ~ spl92_22 ),
inference(subsumption_resolution,[],[f5188,f492]) ).
fof(f5188,plain,
( ! [X0] :
( p204(sK58(sK91))
| ~ p504(sK91)
| ~ r1(X0,sK91)
| ~ sP22(X0) )
| ~ spl92_7 ),
inference(resolution,[],[f433,f336]) ).
fof(f336,plain,
! [X0,X1] :
( r1(X1,sK58(X1))
| ~ p504(X1)
| ~ r1(X0,X1)
| ~ sP22(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f5163,plain,
( ~ spl92_13
| ~ spl92_18 ),
inference(avatar_contradiction_clause,[],[f5162]) ).
fof(f5162,plain,
( $false
| ~ spl92_13
| ~ spl92_18 ),
inference(unit_resulting_resolution,[],[f527,f455,f410,f475,f262]) ).
fof(f262,plain,
! [X0,X26] :
( ~ r1(X0,X26)
| ~ p403(X26)
| ~ p303(X26)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f5161,plain,
( ~ spl92_13
| ~ spl92_23 ),
inference(avatar_contradiction_clause,[],[f5160]) ).
fof(f5160,plain,
( $false
| ~ spl92_13
| ~ spl92_23 ),
inference(unit_resulting_resolution,[],[f527,f410,f496,f455,f261]) ).
fof(f261,plain,
! [X0,X27] :
( ~ r1(X0,X27)
| ~ p503(X27)
| ~ p303(X27)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f5153,plain,
( ~ spl92_14
| ~ spl92_29 ),
inference(avatar_contradiction_clause,[],[f5152]) ).
fof(f5152,plain,
( $false
| ~ spl92_14
| ~ spl92_29 ),
inference(unit_resulting_resolution,[],[f527,f459,f410,f521,f275]) ).
fof(f275,plain,
! [X0,X22] :
( ~ r1(X0,X22)
| ~ p602(X22)
| ~ p302(X22)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f5151,plain,
( ~ spl92_10
| ~ spl92_15 ),
inference(avatar_contradiction_clause,[],[f5150]) ).
fof(f5150,plain,
( $false
| ~ spl92_10
| ~ spl92_15 ),
inference(unit_resulting_resolution,[],[f527,f444,f410,f463,f296]) ).
fof(f296,plain,
! [X0,X6] :
( ~ r1(X0,X6)
| ~ p301(X6)
| ~ p201(X6)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f5149,plain,
( ~ spl92_17
| ~ spl92_22 ),
inference(avatar_contradiction_clause,[],[f5148]) ).
fof(f5148,plain,
( $false
| ~ spl92_17
| ~ spl92_22 ),
inference(unit_resulting_resolution,[],[f527,f471,f410,f492,f244]) ).
fof(f244,plain,
! [X0,X32] :
( ~ r1(X0,X32)
| ~ p504(X32)
| ~ p404(X32)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f5147,plain,
( ~ spl92_20
| ~ spl92_25 ),
inference(avatar_contradiction_clause,[],[f5146]) ).
fof(f5146,plain,
( $false
| ~ spl92_20
| ~ spl92_25 ),
inference(unit_resulting_resolution,[],[f527,f410,f504,f483,f289]) ).
fof(f289,plain,
! [X0,X13] :
( ~ r1(X0,X13)
| ~ p501(X13)
| ~ p401(X13)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f5145,plain,
( ~ spl92_18
| ~ spl92_28 ),
inference(avatar_contradiction_clause,[],[f5144]) ).
fof(f5144,plain,
( $false
| ~ spl92_18
| ~ spl92_28 ),
inference(unit_resulting_resolution,[],[f527,f410,f517,f475,f258]) ).
fof(f258,plain,
! [X0,X30] :
( ~ r1(X0,X30)
| ~ p603(X30)
| ~ p403(X30)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f517,plain,
( p603(sK91)
| ~ spl92_28 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f515,plain,
( spl92_28
<=> p603(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_28])]) ).
fof(f5143,plain,
( ~ spl92_9
| ~ spl92_14 ),
inference(avatar_contradiction_clause,[],[f5142]) ).
fof(f5142,plain,
( $false
| ~ spl92_9
| ~ spl92_14 ),
inference(unit_resulting_resolution,[],[f527,f440,f410,f459,f281]) ).
fof(f281,plain,
! [X0,X16] :
( ~ r1(X0,X16)
| ~ p302(X16)
| ~ p202(X16)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f5136,plain,
( spl92_63
| ~ spl92_17
| ~ spl92_7 ),
inference(avatar_split_clause,[],[f5135,f432,f469,f718]) ).
fof(f718,plain,
( spl92_63
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP23(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_63])]) ).
fof(f5135,plain,
( ! [X0] :
( ~ p404(sK91)
| ~ r1(X0,sK91)
| ~ sP23(X0) )
| ~ spl92_7 ),
inference(subsumption_resolution,[],[f4947,f335]) ).
fof(f335,plain,
! [X0,X1] :
( ~ p204(sK57(X1))
| ~ p404(X1)
| ~ r1(X0,X1)
| ~ sP23(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ! [X1] :
( ( ~ p204(sK57(X1))
& r1(X1,sK57(X1)) )
| ~ p404(X1)
| ~ r1(X0,X1) )
| ~ sP23(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK57])],[f120,f121]) ).
fof(f121,plain,
! [X1] :
( ? [X2] :
( ~ p204(X2)
& r1(X1,X2) )
=> ( ~ p204(sK57(X1))
& r1(X1,sK57(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p204(X2)
& r1(X1,X2) )
| ~ p404(X1)
| ~ r1(X0,X1) )
| ~ sP23(X0) ),
inference(rectify,[],[f119]) ).
fof(f119,plain,
! [X11] :
( ! [X87] :
( ? [X88] :
( ~ p204(X88)
& r1(X87,X88) )
| ~ p404(X87)
| ~ r1(X11,X87) )
| ~ sP23(X11) ),
inference(nnf_transformation,[],[f34]) ).
fof(f4947,plain,
( ! [X0] :
( p204(sK57(sK91))
| ~ p404(sK91)
| ~ r1(X0,sK91)
| ~ sP23(X0) )
| ~ spl92_7 ),
inference(resolution,[],[f433,f334]) ).
fof(f334,plain,
! [X0,X1] :
( r1(X1,sK57(X1))
| ~ p404(X1)
| ~ r1(X0,X1)
| ~ sP23(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f5124,plain,
( spl92_121
| ~ spl92_126
| ~ spl92_11
| spl92_122 ),
inference(avatar_split_clause,[],[f5113,f971,f447,f989,f968]) ).
fof(f968,plain,
( spl92_121
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_121])]) ).
fof(f989,plain,
( spl92_126
<=> p105(sK81(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_126])]) ).
fof(f971,plain,
( spl92_122
<=> p305(sK82(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_122])]) ).
fof(f5113,plain,
( ! [X0] :
( ~ p105(sK81(sK91))
| ~ r1(X0,sK91)
| ~ sP4(X0) )
| ~ spl92_11
| spl92_122 ),
inference(subsumption_resolution,[],[f5070,f973]) ).
fof(f973,plain,
( ~ p305(sK82(sK91))
| spl92_122 ),
inference(avatar_component_clause,[],[f971]) ).
fof(f5070,plain,
( ! [X0] :
( p305(sK82(sK91))
| ~ p105(sK81(sK91))
| ~ r1(X0,sK91)
| ~ sP4(X0) )
| ~ spl92_11 ),
inference(resolution,[],[f448,f384]) ).
fof(f384,plain,
! [X0,X1] :
( r1(X1,sK82(X1))
| ~ p105(sK81(X1))
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0] :
( ! [X1] :
( ( ~ p105(sK81(X1))
& r1(X1,sK81(X1)) )
| ( ~ p305(sK82(X1))
& r1(X1,sK82(X1)) )
| ~ r1(X0,X1) )
| ~ sP4(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK81,sK82])],[f201,f203,f202]) ).
fof(f202,plain,
! [X1] :
( ? [X2] :
( ~ p105(X2)
& r1(X1,X2) )
=> ( ~ p105(sK81(X1))
& r1(X1,sK81(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f203,plain,
! [X1] :
( ? [X3] :
( ~ p305(X3)
& r1(X1,X3) )
=> ( ~ p305(sK82(X1))
& r1(X1,sK82(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f201,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p105(X2)
& r1(X1,X2) )
| ? [X3] :
( ~ p305(X3)
& r1(X1,X3) )
| ~ r1(X0,X1) )
| ~ sP4(X0) ),
inference(rectify,[],[f200]) ).
fof(f200,plain,
! [X11] :
( ! [X105] :
( ? [X106] :
( ~ p105(X106)
& r1(X105,X106) )
| ? [X107] :
( ~ p305(X107)
& r1(X105,X107) )
| ~ r1(X11,X105) )
| ~ sP4(X11) ),
inference(nnf_transformation,[],[f15]) ).
fof(f5123,plain,
( spl92_121
| spl92_124
| ~ spl92_11
| spl92_122 ),
inference(avatar_split_clause,[],[f5122,f971,f447,f980,f968]) ).
fof(f980,plain,
( spl92_124
<=> r1(sK91,sK81(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_124])]) ).
fof(f5122,plain,
( ! [X0] :
( r1(sK91,sK81(sK91))
| ~ r1(X0,sK91)
| ~ sP4(X0) )
| ~ spl92_11
| spl92_122 ),
inference(subsumption_resolution,[],[f5069,f973]) ).
fof(f5069,plain,
( ! [X0] :
( p305(sK82(sK91))
| r1(sK91,sK81(sK91))
| ~ r1(X0,sK91)
| ~ sP4(X0) )
| ~ spl92_11 ),
inference(resolution,[],[f448,f382]) ).
fof(f382,plain,
! [X0,X1] :
( r1(X1,sK82(X1))
| r1(X1,sK81(X1))
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f4922,plain,
( ~ spl92_14
| ~ spl92_19 ),
inference(avatar_contradiction_clause,[],[f4921]) ).
fof(f4921,plain,
( $false
| ~ spl92_14
| ~ spl92_19 ),
inference(unit_resulting_resolution,[],[f527,f410,f479,f459,f277]) ).
fof(f277,plain,
! [X0,X20] :
( ~ r1(X0,X20)
| ~ p402(X20)
| ~ p302(X20)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f479,plain,
( p402(sK91)
| ~ spl92_19 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f4919,plain,
( ~ spl92_15
| ~ spl92_25 ),
inference(avatar_contradiction_clause,[],[f4918]) ).
fof(f4918,plain,
( $false
| ~ spl92_15
| ~ spl92_25 ),
inference(unit_resulting_resolution,[],[f527,f410,f504,f463,f291]) ).
fof(f291,plain,
! [X0,X11] :
( ~ r1(X0,X11)
| ~ p501(X11)
| ~ p301(X11)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f4917,plain,
( ~ spl92_9
| ~ spl92_19 ),
inference(avatar_contradiction_clause,[],[f4916]) ).
fof(f4916,plain,
( $false
| ~ spl92_9
| ~ spl92_19 ),
inference(unit_resulting_resolution,[],[f527,f410,f479,f440,f280]) ).
fof(f280,plain,
! [X0,X17] :
( ~ r1(X0,X17)
| ~ p402(X17)
| ~ p202(X17)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f4905,plain,
( ~ spl92_10
| ~ spl92_25 ),
inference(avatar_contradiction_clause,[],[f4904]) ).
fof(f4904,plain,
( $false
| ~ spl92_10
| ~ spl92_25 ),
inference(unit_resulting_resolution,[],[f527,f444,f410,f504,f294]) ).
fof(f294,plain,
! [X0,X8] :
( ~ r1(X0,X8)
| ~ p501(X8)
| ~ p201(X8)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f4903,plain,
~ spl92_75,
inference(avatar_contradiction_clause,[],[f4902]) ).
fof(f4902,plain,
( $false
| ~ spl92_75 ),
inference(subsumption_resolution,[],[f4900,f527]) ).
fof(f4900,plain,
( ~ sP40(sK91)
| ~ spl92_75 ),
inference(resolution,[],[f4897,f238]) ).
fof(f238,plain,
! [X0] :
( sP17(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f4897,plain,
( ~ sP17(sK91)
| ~ spl92_75 ),
inference(resolution,[],[f768,f410]) ).
fof(f768,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP17(X0) )
| ~ spl92_75 ),
inference(avatar_component_clause,[],[f767]) ).
fof(f767,plain,
( spl92_75
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP17(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_75])]) ).
fof(f4896,plain,
~ spl92_51,
inference(avatar_contradiction_clause,[],[f4895]) ).
fof(f4895,plain,
( $false
| ~ spl92_51 ),
inference(subsumption_resolution,[],[f4893,f527]) ).
fof(f4893,plain,
( ~ sP40(sK91)
| ~ spl92_51 ),
inference(resolution,[],[f4890,f265]) ).
fof(f265,plain,
! [X0] :
( sP29(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f4890,plain,
( ~ sP29(sK91)
| ~ spl92_51 ),
inference(resolution,[],[f671,f410]) ).
fof(f671,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP29(X0) )
| ~ spl92_51 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f4889,plain,
~ spl92_43,
inference(avatar_contradiction_clause,[],[f4888]) ).
fof(f4888,plain,
( $false
| ~ spl92_43 ),
inference(subsumption_resolution,[],[f4886,f527]) ).
fof(f4886,plain,
( ~ sP40(sK91)
| ~ spl92_43 ),
inference(resolution,[],[f4883,f269]) ).
fof(f269,plain,
! [X0] :
( sP33(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f4883,plain,
( ~ sP33(sK91)
| ~ spl92_43 ),
inference(resolution,[],[f639,f410]) ).
fof(f639,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP33(X0) )
| ~ spl92_43 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f4881,plain,
( spl92_75
| ~ spl92_21
| ~ spl92_1 ),
inference(avatar_split_clause,[],[f4880,f412,f486,f767]) ).
fof(f412,plain,
( spl92_1
<=> ! [X4] :
( p105(X4)
| ~ r1(sK91,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_1])]) ).
fof(f4880,plain,
( ! [X0] :
( ~ p505(sK91)
| ~ r1(X0,sK91)
| ~ sP17(X0) )
| ~ spl92_1 ),
inference(subsumption_resolution,[],[f2503,f347]) ).
fof(f347,plain,
! [X0,X1] :
( ~ p105(sK63(X1))
| ~ p505(X1)
| ~ r1(X0,X1)
| ~ sP17(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( ( ~ p105(sK63(X1))
& r1(X1,sK63(X1)) )
| ~ p505(X1)
| ~ r1(X0,X1) )
| ~ sP17(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK63])],[f144,f145]) ).
fof(f145,plain,
! [X1] :
( ? [X2] :
( ~ p105(X2)
& r1(X1,X2) )
=> ( ~ p105(sK63(X1))
& r1(X1,sK63(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p105(X2)
& r1(X1,X2) )
| ~ p505(X1)
| ~ r1(X0,X1) )
| ~ sP17(X0) ),
inference(rectify,[],[f143]) ).
fof(f143,plain,
! [X11] :
( ! [X111] :
( ? [X112] :
( ~ p105(X112)
& r1(X111,X112) )
| ~ p505(X111)
| ~ r1(X11,X111) )
| ~ sP17(X11) ),
inference(nnf_transformation,[],[f28]) ).
fof(f2503,plain,
( ! [X0] :
( p105(sK63(sK91))
| ~ p505(sK91)
| ~ r1(X0,sK91)
| ~ sP17(X0) )
| ~ spl92_1 ),
inference(resolution,[],[f413,f346]) ).
fof(f346,plain,
! [X0,X1] :
( r1(X1,sK63(X1))
| ~ p505(X1)
| ~ r1(X0,X1)
| ~ sP17(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f413,plain,
( ! [X4] :
( ~ r1(sK91,X4)
| p105(X4) )
| ~ spl92_1 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f4844,plain,
( ~ spl92_18
| ~ spl92_23 ),
inference(avatar_contradiction_clause,[],[f4843]) ).
fof(f4843,plain,
( $false
| ~ spl92_18
| ~ spl92_23 ),
inference(unit_resulting_resolution,[],[f527,f410,f496,f475,f259]) ).
fof(f259,plain,
! [X0,X29] :
( ~ r1(X0,X29)
| ~ p503(X29)
| ~ p403(X29)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f4822,plain,
( ~ spl92_19
| ~ spl92_29 ),
inference(avatar_contradiction_clause,[],[f4821]) ).
fof(f4821,plain,
( $false
| ~ spl92_19
| ~ spl92_29 ),
inference(unit_resulting_resolution,[],[f527,f410,f521,f479,f273]) ).
fof(f273,plain,
! [X0,X24] :
( ~ r1(X0,X24)
| ~ p602(X24)
| ~ p402(X24)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f4820,plain,
( spl92_132
| ~ spl92_1
| ~ spl92_130 ),
inference(avatar_split_clause,[],[f4617,f1006,f412,f1015]) ).
fof(f1015,plain,
( spl92_132
<=> p105(sK83(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_132])]) ).
fof(f1006,plain,
( spl92_130
<=> r1(sK91,sK83(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_130])]) ).
fof(f4617,plain,
( p105(sK83(sK91))
| ~ spl92_1
| ~ spl92_130 ),
inference(resolution,[],[f1008,f413]) ).
fof(f1008,plain,
( r1(sK91,sK83(sK91))
| ~ spl92_130 ),
inference(avatar_component_clause,[],[f1006]) ).
fof(f4589,plain,
( spl92_127
| spl92_130
| ~ spl92_16 ),
inference(avatar_split_clause,[],[f4588,f466,f1006,f994]) ).
fof(f994,plain,
( spl92_127
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_127])]) ).
fof(f4588,plain,
( ! [X0] :
( r1(sK91,sK83(sK91))
| ~ r1(X0,sK91)
| ~ sP3(X0) )
| ~ spl92_16 ),
inference(subsumption_resolution,[],[f4216,f387]) ).
fof(f387,plain,
! [X0,X1] :
( r1(X1,sK83(X1))
| ~ p405(sK84(X1))
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0] :
( ! [X1] :
( ( ~ p105(sK83(X1))
& r1(X1,sK83(X1)) )
| ( ~ p405(sK84(X1))
& r1(X1,sK84(X1)) )
| ~ r1(X0,X1) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK83,sK84])],[f206,f208,f207]) ).
fof(f207,plain,
! [X1] :
( ? [X2] :
( ~ p105(X2)
& r1(X1,X2) )
=> ( ~ p105(sK83(X1))
& r1(X1,sK83(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f208,plain,
! [X1] :
( ? [X3] :
( ~ p405(X3)
& r1(X1,X3) )
=> ( ~ p405(sK84(X1))
& r1(X1,sK84(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f206,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p105(X2)
& r1(X1,X2) )
| ? [X3] :
( ~ p405(X3)
& r1(X1,X3) )
| ~ r1(X0,X1) )
| ~ sP3(X0) ),
inference(rectify,[],[f205]) ).
fof(f205,plain,
! [X11] :
( ! [X108] :
( ? [X109] :
( ~ p105(X109)
& r1(X108,X109) )
| ? [X110] :
( ~ p405(X110)
& r1(X108,X110) )
| ~ r1(X11,X108) )
| ~ sP3(X11) ),
inference(nnf_transformation,[],[f14]) ).
fof(f4216,plain,
( ! [X0] :
( p405(sK84(sK91))
| r1(sK91,sK83(sK91))
| ~ r1(X0,sK91)
| ~ sP3(X0) )
| ~ spl92_16 ),
inference(resolution,[],[f467,f386]) ).
fof(f386,plain,
! [X0,X1] :
( r1(X1,sK84(X1))
| r1(X1,sK83(X1))
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f4587,plain,
( spl92_127
| ~ spl92_132
| ~ spl92_16 ),
inference(avatar_split_clause,[],[f4586,f466,f1015,f994]) ).
fof(f4586,plain,
( ! [X0] :
( ~ p105(sK83(sK91))
| ~ r1(X0,sK91)
| ~ sP3(X0) )
| ~ spl92_16 ),
inference(subsumption_resolution,[],[f4217,f389]) ).
fof(f389,plain,
! [X0,X1] :
( ~ p105(sK83(X1))
| ~ p405(sK84(X1))
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f4217,plain,
( ! [X0] :
( p405(sK84(sK91))
| ~ p105(sK83(sK91))
| ~ r1(X0,sK91)
| ~ sP3(X0) )
| ~ spl92_16 ),
inference(resolution,[],[f467,f388]) ).
fof(f388,plain,
! [X0,X1] :
( r1(X1,sK84(X1))
| ~ p105(sK83(X1))
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f4585,plain,
~ spl92_127,
inference(avatar_contradiction_clause,[],[f4584]) ).
fof(f4584,plain,
( $false
| ~ spl92_127 ),
inference(subsumption_resolution,[],[f4582,f527]) ).
fof(f4582,plain,
( ~ sP40(sK91)
| ~ spl92_127 ),
inference(resolution,[],[f4579,f239]) ).
fof(f239,plain,
! [X0] :
( sP3(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f4579,plain,
( ~ sP3(sK91)
| ~ spl92_127 ),
inference(resolution,[],[f995,f410]) ).
fof(f995,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP3(X0) )
| ~ spl92_127 ),
inference(avatar_component_clause,[],[f994]) ).
fof(f4577,plain,
( spl92_126
| ~ spl92_1
| ~ spl92_124 ),
inference(avatar_split_clause,[],[f4384,f980,f412,f989]) ).
fof(f4384,plain,
( p105(sK81(sK91))
| ~ spl92_1
| ~ spl92_124 ),
inference(resolution,[],[f982,f413]) ).
fof(f982,plain,
( r1(sK91,sK81(sK91))
| ~ spl92_124 ),
inference(avatar_component_clause,[],[f980]) ).
fof(f4380,plain,
( spl92_121
| ~ spl92_122
| ~ spl92_1 ),
inference(avatar_split_clause,[],[f4379,f412,f971,f968]) ).
fof(f4379,plain,
( ! [X0] :
( ~ p305(sK82(sK91))
| ~ r1(X0,sK91)
| ~ sP4(X0) )
| ~ spl92_1 ),
inference(subsumption_resolution,[],[f2526,f385]) ).
fof(f385,plain,
! [X0,X1] :
( ~ p105(sK81(X1))
| ~ p305(sK82(X1))
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f2526,plain,
( ! [X0] :
( p105(sK81(sK91))
| ~ p305(sK82(sK91))
| ~ r1(X0,sK91)
| ~ sP4(X0) )
| ~ spl92_1 ),
inference(resolution,[],[f413,f383]) ).
fof(f383,plain,
! [X0,X1] :
( r1(X1,sK81(X1))
| ~ p305(sK82(X1))
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f4350,plain,
~ spl92_121,
inference(avatar_contradiction_clause,[],[f4349]) ).
fof(f4349,plain,
( $false
| ~ spl92_121 ),
inference(subsumption_resolution,[],[f4347,f527]) ).
fof(f4347,plain,
( ~ sP40(sK91)
| ~ spl92_121 ),
inference(resolution,[],[f4344,f240]) ).
fof(f240,plain,
! [X0] :
( sP4(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f4344,plain,
( ~ sP4(sK91)
| ~ spl92_121 ),
inference(resolution,[],[f969,f410]) ).
fof(f969,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP4(X0) )
| ~ spl92_121 ),
inference(avatar_component_clause,[],[f968]) ).
fof(f4343,plain,
~ spl92_53,
inference(avatar_contradiction_clause,[],[f4342]) ).
fof(f4342,plain,
( $false
| ~ spl92_53 ),
inference(subsumption_resolution,[],[f4340,f527]) ).
fof(f4340,plain,
( ~ sP40(sK91)
| ~ spl92_53 ),
inference(resolution,[],[f4337,f264]) ).
fof(f264,plain,
! [X0] :
( sP28(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f4337,plain,
( ~ sP28(sK91)
| ~ spl92_53 ),
inference(resolution,[],[f679,f410]) ).
fof(f679,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP28(X0) )
| ~ spl92_53 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f4336,plain,
~ spl92_45,
inference(avatar_contradiction_clause,[],[f4335]) ).
fof(f4335,plain,
( $false
| ~ spl92_45 ),
inference(subsumption_resolution,[],[f4333,f527]) ).
fof(f4333,plain,
( ~ sP40(sK91)
| ~ spl92_45 ),
inference(resolution,[],[f4330,f268]) ).
fof(f268,plain,
! [X0] :
( sP32(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f4330,plain,
( ~ sP32(sK91)
| ~ spl92_45 ),
inference(resolution,[],[f647,f410]) ).
fof(f647,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP32(X0) )
| ~ spl92_45 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f4314,plain,
( ~ spl92_23
| ~ spl92_28 ),
inference(avatar_contradiction_clause,[],[f4313]) ).
fof(f4313,plain,
( $false
| ~ spl92_23
| ~ spl92_28 ),
inference(unit_resulting_resolution,[],[f527,f410,f517,f496,f257]) ).
fof(f257,plain,
! [X31,X0] :
( ~ r1(X0,X31)
| ~ p603(X31)
| ~ p503(X31)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f4277,plain,
~ spl92_71,
inference(avatar_contradiction_clause,[],[f4276]) ).
fof(f4276,plain,
( $false
| ~ spl92_71 ),
inference(subsumption_resolution,[],[f4274,f527]) ).
fof(f4274,plain,
( ~ sP40(sK91)
| ~ spl92_71 ),
inference(resolution,[],[f4271,f246]) ).
fof(f246,plain,
! [X0] :
( sP19(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f4271,plain,
( ~ sP19(sK91)
| ~ spl92_71 ),
inference(resolution,[],[f751,f410]) ).
fof(f751,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP19(X0) )
| ~ spl92_71 ),
inference(avatar_component_clause,[],[f750]) ).
fof(f750,plain,
( spl92_71
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP19(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_71])]) ).
fof(f4264,plain,
~ spl92_65,
inference(avatar_contradiction_clause,[],[f4263]) ).
fof(f4263,plain,
( $false
| ~ spl92_65 ),
inference(subsumption_resolution,[],[f4261,f527]) ).
fof(f4261,plain,
( ~ sP40(sK91)
| ~ spl92_65 ),
inference(resolution,[],[f4258,f249]) ).
fof(f249,plain,
! [X0] :
( sP22(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f4258,plain,
( ~ sP22(sK91)
| ~ spl92_65 ),
inference(resolution,[],[f727,f410]) ).
fof(f727,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP22(X0) )
| ~ spl92_65 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f4251,plain,
~ spl92_59,
inference(avatar_contradiction_clause,[],[f4250]) ).
fof(f4250,plain,
( $false
| ~ spl92_59 ),
inference(subsumption_resolution,[],[f4248,f527]) ).
fof(f4248,plain,
( ~ sP40(sK91)
| ~ spl92_59 ),
inference(resolution,[],[f4245,f253]) ).
fof(f253,plain,
! [X0] :
( sP25(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f4245,plain,
( ~ sP25(sK91)
| ~ spl92_59 ),
inference(resolution,[],[f703,f410]) ).
fof(f703,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP25(X0) )
| ~ spl92_59 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f4135,plain,
( spl92_71
| ~ spl92_22
| ~ spl92_12 ),
inference(avatar_split_clause,[],[f4134,f450,f490,f750]) ).
fof(f450,plain,
( spl92_12
<=> ! [X8] :
( p304(X8)
| ~ r1(sK91,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_12])]) ).
fof(f4134,plain,
( ! [X0] :
( ~ p504(sK91)
| ~ r1(X0,sK91)
| ~ sP19(X0) )
| ~ spl92_12 ),
inference(subsumption_resolution,[],[f2564,f343]) ).
fof(f343,plain,
! [X0,X1] :
( ~ p304(sK61(X1))
| ~ p504(X1)
| ~ r1(X0,X1)
| ~ sP19(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ! [X1] :
( ( ~ p304(sK61(X1))
& r1(X1,sK61(X1)) )
| ~ p504(X1)
| ~ r1(X0,X1) )
| ~ sP19(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK61])],[f136,f137]) ).
fof(f137,plain,
! [X1] :
( ? [X2] :
( ~ p304(X2)
& r1(X1,X2) )
=> ( ~ p304(sK61(X1))
& r1(X1,sK61(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p304(X2)
& r1(X1,X2) )
| ~ p504(X1)
| ~ r1(X0,X1) )
| ~ sP19(X0) ),
inference(rectify,[],[f135]) ).
fof(f135,plain,
! [X11] :
( ! [X95] :
( ? [X96] :
( ~ p304(X96)
& r1(X95,X96) )
| ~ p504(X95)
| ~ r1(X11,X95) )
| ~ sP19(X11) ),
inference(nnf_transformation,[],[f30]) ).
fof(f2564,plain,
( ! [X0] :
( p304(sK61(sK91))
| ~ p504(sK91)
| ~ r1(X0,sK91)
| ~ sP19(X0) )
| ~ spl92_12 ),
inference(resolution,[],[f451,f342]) ).
fof(f342,plain,
! [X0,X1] :
( r1(X1,sK61(X1))
| ~ p504(X1)
| ~ r1(X0,X1)
| ~ sP19(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f451,plain,
( ! [X8] :
( ~ r1(sK91,X8)
| p304(X8) )
| ~ spl92_12 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f4133,plain,
~ spl92_69,
inference(avatar_contradiction_clause,[],[f4132]) ).
fof(f4132,plain,
( $false
| ~ spl92_69 ),
inference(subsumption_resolution,[],[f4130,f527]) ).
fof(f4130,plain,
( ~ sP40(sK91)
| ~ spl92_69 ),
inference(resolution,[],[f4127,f247]) ).
fof(f247,plain,
! [X0] :
( sP20(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f4127,plain,
( ~ sP20(sK91)
| ~ spl92_69 ),
inference(resolution,[],[f743,f410]) ).
fof(f743,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP20(X0) )
| ~ spl92_69 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f742,plain,
( spl92_69
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP20(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_69])]) ).
fof(f4126,plain,
~ spl92_63,
inference(avatar_contradiction_clause,[],[f4125]) ).
fof(f4125,plain,
( $false
| ~ spl92_63 ),
inference(subsumption_resolution,[],[f4123,f527]) ).
fof(f4123,plain,
( ~ sP40(sK91)
| ~ spl92_63 ),
inference(resolution,[],[f4120,f250]) ).
fof(f250,plain,
! [X0] :
( sP23(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f4120,plain,
( ~ sP23(sK91)
| ~ spl92_63 ),
inference(resolution,[],[f719,f410]) ).
fof(f719,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP23(X0) )
| ~ spl92_63 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f4119,plain,
~ spl92_57,
inference(avatar_contradiction_clause,[],[f4118]) ).
fof(f4118,plain,
( $false
| ~ spl92_57 ),
inference(subsumption_resolution,[],[f4116,f527]) ).
fof(f4116,plain,
( ~ sP40(sK91)
| ~ spl92_57 ),
inference(resolution,[],[f4113,f254]) ).
fof(f254,plain,
! [X0] :
( sP26(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f4113,plain,
( ~ sP26(sK91)
| ~ spl92_57 ),
inference(resolution,[],[f695,f410]) ).
fof(f695,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP26(X0) )
| ~ spl92_57 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f4085,plain,
( spl92_69
| ~ spl92_17
| ~ spl92_12 ),
inference(avatar_split_clause,[],[f4084,f450,f469,f742]) ).
fof(f4084,plain,
( ! [X0] :
( ~ p404(sK91)
| ~ r1(X0,sK91)
| ~ sP20(X0) )
| ~ spl92_12 ),
inference(subsumption_resolution,[],[f2563,f341]) ).
fof(f341,plain,
! [X0,X1] :
( ~ p304(sK60(X1))
| ~ p404(X1)
| ~ r1(X0,X1)
| ~ sP20(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ! [X1] :
( ( ~ p304(sK60(X1))
& r1(X1,sK60(X1)) )
| ~ p404(X1)
| ~ r1(X0,X1) )
| ~ sP20(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK60])],[f132,f133]) ).
fof(f133,plain,
! [X1] :
( ? [X2] :
( ~ p304(X2)
& r1(X1,X2) )
=> ( ~ p304(sK60(X1))
& r1(X1,sK60(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p304(X2)
& r1(X1,X2) )
| ~ p404(X1)
| ~ r1(X0,X1) )
| ~ sP20(X0) ),
inference(rectify,[],[f131]) ).
fof(f131,plain,
! [X11] :
( ! [X93] :
( ? [X94] :
( ~ p304(X94)
& r1(X93,X94) )
| ~ p404(X93)
| ~ r1(X11,X93) )
| ~ sP20(X11) ),
inference(nnf_transformation,[],[f31]) ).
fof(f2563,plain,
( ! [X0] :
( p304(sK60(sK91))
| ~ p404(sK91)
| ~ r1(X0,sK91)
| ~ sP20(X0) )
| ~ spl92_12 ),
inference(resolution,[],[f451,f340]) ).
fof(f340,plain,
! [X0,X1] :
( r1(X1,sK60(X1))
| ~ p404(X1)
| ~ r1(X0,X1)
| ~ sP20(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f4083,plain,
( spl92_55
| ~ spl92_28
| ~ spl92_220 ),
inference(avatar_split_clause,[],[f4082,f2796,f515,f686]) ).
fof(f686,plain,
( spl92_55
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP27(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_55])]) ).
fof(f2796,plain,
( spl92_220
<=> p203(sK53(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_220])]) ).
fof(f4082,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP27(X0) )
| ~ spl92_28
| ~ spl92_220 ),
inference(subsumption_resolution,[],[f4081,f517]) ).
fof(f4081,plain,
( ! [X0] :
( ~ p603(sK91)
| ~ r1(X0,sK91)
| ~ sP27(X0) )
| ~ spl92_220 ),
inference(resolution,[],[f2798,f327]) ).
fof(f327,plain,
! [X0,X1] :
( ~ p203(sK53(X1))
| ~ p603(X1)
| ~ r1(X0,X1)
| ~ sP27(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( ( ~ p203(sK53(X1))
& r1(X1,sK53(X1)) )
| ~ p603(X1)
| ~ r1(X0,X1) )
| ~ sP27(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK53])],[f104,f105]) ).
fof(f105,plain,
! [X1] :
( ? [X2] :
( ~ p203(X2)
& r1(X1,X2) )
=> ( ~ p203(sK53(X1))
& r1(X1,sK53(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p203(X2)
& r1(X1,X2) )
| ~ p603(X1)
| ~ r1(X0,X1) )
| ~ sP27(X0) ),
inference(rectify,[],[f103]) ).
fof(f103,plain,
! [X11] :
( ! [X64] :
( ? [X65] :
( ~ p203(X65)
& r1(X64,X65) )
| ~ p603(X64)
| ~ r1(X11,X64) )
| ~ sP27(X11) ),
inference(nnf_transformation,[],[f38]) ).
fof(f2798,plain,
( p203(sK53(sK91))
| ~ spl92_220 ),
inference(avatar_component_clause,[],[f2796]) ).
fof(f3857,plain,
( ~ spl92_1
| ~ spl92_118
| spl92_120 ),
inference(avatar_contradiction_clause,[],[f3856]) ).
fof(f3856,plain,
( $false
| ~ spl92_1
| ~ spl92_118
| spl92_120 ),
inference(subsumption_resolution,[],[f3816,f965]) ).
fof(f965,plain,
( ~ p105(sK79(sK91))
| spl92_120 ),
inference(avatar_component_clause,[],[f963]) ).
fof(f963,plain,
( spl92_120
<=> p105(sK79(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_120])]) ).
fof(f3816,plain,
( p105(sK79(sK91))
| ~ spl92_1
| ~ spl92_118 ),
inference(resolution,[],[f956,f413]) ).
fof(f956,plain,
( r1(sK91,sK79(sK91))
| ~ spl92_118 ),
inference(avatar_component_clause,[],[f954]) ).
fof(f954,plain,
( spl92_118
<=> r1(sK91,sK79(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_118])]) ).
fof(f3788,plain,
( spl92_115
| spl92_118
| ~ spl92_6 ),
inference(avatar_split_clause,[],[f3787,f429,f954,f942]) ).
fof(f942,plain,
( spl92_115
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_115])]) ).
fof(f3787,plain,
( ! [X0] :
( r1(sK91,sK79(sK91))
| ~ r1(X0,sK91)
| ~ sP5(X0) )
| ~ spl92_6 ),
inference(subsumption_resolution,[],[f3761,f379]) ).
fof(f379,plain,
! [X0,X1] :
( r1(X1,sK79(X1))
| ~ p205(sK80(X1))
| ~ r1(X0,X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0] :
( ! [X1] :
( ( ~ p105(sK79(X1))
& r1(X1,sK79(X1)) )
| ( ~ p205(sK80(X1))
& r1(X1,sK80(X1)) )
| ~ r1(X0,X1) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK79,sK80])],[f196,f198,f197]) ).
fof(f197,plain,
! [X1] :
( ? [X2] :
( ~ p105(X2)
& r1(X1,X2) )
=> ( ~ p105(sK79(X1))
& r1(X1,sK79(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f198,plain,
! [X1] :
( ? [X3] :
( ~ p205(X3)
& r1(X1,X3) )
=> ( ~ p205(sK80(X1))
& r1(X1,sK80(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f196,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p105(X2)
& r1(X1,X2) )
| ? [X3] :
( ~ p205(X3)
& r1(X1,X3) )
| ~ r1(X0,X1) )
| ~ sP5(X0) ),
inference(rectify,[],[f195]) ).
fof(f195,plain,
! [X11] :
( ! [X102] :
( ? [X103] :
( ~ p105(X103)
& r1(X102,X103) )
| ? [X104] :
( ~ p205(X104)
& r1(X102,X104) )
| ~ r1(X11,X102) )
| ~ sP5(X11) ),
inference(nnf_transformation,[],[f16]) ).
fof(f3761,plain,
( ! [X0] :
( p205(sK80(sK91))
| r1(sK91,sK79(sK91))
| ~ r1(X0,sK91)
| ~ sP5(X0) )
| ~ spl92_6 ),
inference(resolution,[],[f430,f378]) ).
fof(f378,plain,
! [X0,X1] :
( r1(X1,sK80(X1))
| r1(X1,sK79(X1))
| ~ r1(X0,X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f3786,plain,
( spl92_115
| ~ spl92_120
| ~ spl92_6 ),
inference(avatar_split_clause,[],[f3785,f429,f963,f942]) ).
fof(f3785,plain,
( ! [X0] :
( ~ p105(sK79(sK91))
| ~ r1(X0,sK91)
| ~ sP5(X0) )
| ~ spl92_6 ),
inference(subsumption_resolution,[],[f3762,f381]) ).
fof(f381,plain,
! [X0,X1] :
( ~ p105(sK79(X1))
| ~ p205(sK80(X1))
| ~ r1(X0,X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f3762,plain,
( ! [X0] :
( p205(sK80(sK91))
| ~ p105(sK79(sK91))
| ~ r1(X0,sK91)
| ~ sP5(X0) )
| ~ spl92_6 ),
inference(resolution,[],[f430,f380]) ).
fof(f380,plain,
! [X0,X1] :
( r1(X1,sK80(X1))
| ~ p105(sK79(X1))
| ~ r1(X0,X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f3784,plain,
~ spl92_115,
inference(avatar_contradiction_clause,[],[f3783]) ).
fof(f3783,plain,
( $false
| ~ spl92_115 ),
inference(subsumption_resolution,[],[f3781,f527]) ).
fof(f3781,plain,
( ~ sP40(sK91)
| ~ spl92_115 ),
inference(resolution,[],[f3778,f241]) ).
fof(f241,plain,
! [X0] :
( sP5(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f3778,plain,
( ~ sP5(sK91)
| ~ spl92_115 ),
inference(resolution,[],[f943,f410]) ).
fof(f943,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP5(X0) )
| ~ spl92_115 ),
inference(avatar_component_clause,[],[f942]) ).
fof(f3558,plain,
( ~ spl92_7
| ~ spl92_112
| spl92_114 ),
inference(avatar_contradiction_clause,[],[f3557]) ).
fof(f3557,plain,
( $false
| ~ spl92_7
| ~ spl92_112
| spl92_114 ),
inference(subsumption_resolution,[],[f3517,f939]) ).
fof(f939,plain,
( ~ p204(sK77(sK91))
| spl92_114 ),
inference(avatar_component_clause,[],[f937]) ).
fof(f937,plain,
( spl92_114
<=> p204(sK77(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_114])]) ).
fof(f3517,plain,
( p204(sK77(sK91))
| ~ spl92_7
| ~ spl92_112 ),
inference(resolution,[],[f930,f433]) ).
fof(f930,plain,
( r1(sK91,sK77(sK91))
| ~ spl92_112 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f928,plain,
( spl92_112
<=> r1(sK91,sK77(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_112])]) ).
fof(f3499,plain,
( spl92_109
| spl92_112
| ~ spl92_12 ),
inference(avatar_split_clause,[],[f3498,f450,f928,f916]) ).
fof(f916,plain,
( spl92_109
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_109])]) ).
fof(f3498,plain,
( ! [X0] :
( r1(sK91,sK77(sK91))
| ~ r1(X0,sK91)
| ~ sP6(X0) )
| ~ spl92_12 ),
inference(subsumption_resolution,[],[f2584,f375]) ).
fof(f375,plain,
! [X0,X1] :
( r1(X1,sK77(X1))
| ~ p304(sK78(X1))
| ~ r1(X0,X1)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0] :
( ! [X1] :
( ( ~ p204(sK77(X1))
& r1(X1,sK77(X1)) )
| ( ~ p304(sK78(X1))
& r1(X1,sK78(X1)) )
| ~ r1(X0,X1) )
| ~ sP6(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK77,sK78])],[f191,f193,f192]) ).
fof(f192,plain,
! [X1] :
( ? [X2] :
( ~ p204(X2)
& r1(X1,X2) )
=> ( ~ p204(sK77(X1))
& r1(X1,sK77(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f193,plain,
! [X1] :
( ? [X3] :
( ~ p304(X3)
& r1(X1,X3) )
=> ( ~ p304(sK78(X1))
& r1(X1,sK78(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f191,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p204(X2)
& r1(X1,X2) )
| ? [X3] :
( ~ p304(X3)
& r1(X1,X3) )
| ~ r1(X0,X1) )
| ~ sP6(X0) ),
inference(rectify,[],[f190]) ).
fof(f190,plain,
! [X11] :
( ! [X84] :
( ? [X85] :
( ~ p204(X85)
& r1(X84,X85) )
| ? [X86] :
( ~ p304(X86)
& r1(X84,X86) )
| ~ r1(X11,X84) )
| ~ sP6(X11) ),
inference(nnf_transformation,[],[f17]) ).
fof(f2584,plain,
( ! [X0] :
( p304(sK78(sK91))
| r1(sK91,sK77(sK91))
| ~ r1(X0,sK91)
| ~ sP6(X0) )
| ~ spl92_12 ),
inference(resolution,[],[f451,f374]) ).
fof(f374,plain,
! [X0,X1] :
( r1(X1,sK78(X1))
| r1(X1,sK77(X1))
| ~ r1(X0,X1)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f3497,plain,
( spl92_109
| ~ spl92_114
| ~ spl92_12 ),
inference(avatar_split_clause,[],[f3496,f450,f937,f916]) ).
fof(f3496,plain,
( ! [X0] :
( ~ p204(sK77(sK91))
| ~ r1(X0,sK91)
| ~ sP6(X0) )
| ~ spl92_12 ),
inference(subsumption_resolution,[],[f2585,f377]) ).
fof(f377,plain,
! [X0,X1] :
( ~ p204(sK77(X1))
| ~ p304(sK78(X1))
| ~ r1(X0,X1)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f2585,plain,
( ! [X0] :
( p304(sK78(sK91))
| ~ p204(sK77(sK91))
| ~ r1(X0,sK91)
| ~ sP6(X0) )
| ~ spl92_12 ),
inference(resolution,[],[f451,f376]) ).
fof(f376,plain,
! [X0,X1] :
( r1(X1,sK78(X1))
| ~ p204(sK77(X1))
| ~ r1(X0,X1)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f3487,plain,
~ spl92_109,
inference(avatar_contradiction_clause,[],[f3486]) ).
fof(f3486,plain,
( $false
| ~ spl92_109 ),
inference(subsumption_resolution,[],[f3484,f527]) ).
fof(f3484,plain,
( ~ sP40(sK91)
| ~ spl92_109 ),
inference(resolution,[],[f3481,f251]) ).
fof(f251,plain,
! [X0] :
( sP6(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f3481,plain,
( ~ sP6(sK91)
| ~ spl92_109 ),
inference(resolution,[],[f917,f410]) ).
fof(f917,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP6(X0) )
| ~ spl92_109 ),
inference(avatar_component_clause,[],[f916]) ).
fof(f3135,plain,
( spl92_103
| spl92_106
| ~ spl92_12 ),
inference(avatar_split_clause,[],[f3134,f450,f902,f890]) ).
fof(f890,plain,
( spl92_103
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP7(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_103])]) ).
fof(f3134,plain,
( ! [X0] :
( r1(sK91,sK75(sK91))
| ~ r1(X0,sK91)
| ~ sP7(X0) )
| ~ spl92_12 ),
inference(subsumption_resolution,[],[f2581,f371]) ).
fof(f371,plain,
! [X0,X1] :
( r1(X1,sK75(X1))
| ~ p304(sK76(X1))
| ~ r1(X0,X1)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0] :
( ! [X1] :
( ( ~ p104(sK75(X1))
& r1(X1,sK75(X1)) )
| ( ~ p304(sK76(X1))
& r1(X1,sK76(X1)) )
| ~ r1(X0,X1) )
| ~ sP7(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK75,sK76])],[f186,f188,f187]) ).
fof(f187,plain,
! [X1] :
( ? [X2] :
( ~ p104(X2)
& r1(X1,X2) )
=> ( ~ p104(sK75(X1))
& r1(X1,sK75(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f188,plain,
! [X1] :
( ? [X3] :
( ~ p304(X3)
& r1(X1,X3) )
=> ( ~ p304(sK76(X1))
& r1(X1,sK76(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f186,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p104(X2)
& r1(X1,X2) )
| ? [X3] :
( ~ p304(X3)
& r1(X1,X3) )
| ~ r1(X0,X1) )
| ~ sP7(X0) ),
inference(rectify,[],[f185]) ).
fof(f185,plain,
! [X11] :
( ! [X75] :
( ? [X76] :
( ~ p104(X76)
& r1(X75,X76) )
| ? [X77] :
( ~ p304(X77)
& r1(X75,X77) )
| ~ r1(X11,X75) )
| ~ sP7(X11) ),
inference(nnf_transformation,[],[f18]) ).
fof(f2581,plain,
( ! [X0] :
( p304(sK76(sK91))
| r1(sK91,sK75(sK91))
| ~ r1(X0,sK91)
| ~ sP7(X0) )
| ~ spl92_12 ),
inference(resolution,[],[f451,f370]) ).
fof(f370,plain,
! [X0,X1] :
( r1(X1,sK76(X1))
| r1(X1,sK75(X1))
| ~ r1(X0,X1)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f3133,plain,
( spl92_103
| ~ spl92_108
| ~ spl92_12 ),
inference(avatar_split_clause,[],[f3132,f450,f911,f890]) ).
fof(f3132,plain,
( ! [X0] :
( ~ p104(sK75(sK91))
| ~ r1(X0,sK91)
| ~ sP7(X0) )
| ~ spl92_12 ),
inference(subsumption_resolution,[],[f2582,f373]) ).
fof(f373,plain,
! [X0,X1] :
( ~ p104(sK75(X1))
| ~ p304(sK76(X1))
| ~ r1(X0,X1)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f2582,plain,
( ! [X0] :
( p304(sK76(sK91))
| ~ p104(sK75(sK91))
| ~ r1(X0,sK91)
| ~ sP7(X0) )
| ~ spl92_12 ),
inference(resolution,[],[f451,f372]) ).
fof(f372,plain,
! [X0,X1] :
( r1(X1,sK76(X1))
| ~ p104(sK75(X1))
| ~ r1(X0,X1)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f3120,plain,
~ spl92_103,
inference(avatar_contradiction_clause,[],[f3119]) ).
fof(f3119,plain,
( $false
| ~ spl92_103 ),
inference(subsumption_resolution,[],[f3117,f527]) ).
fof(f3117,plain,
( ~ sP40(sK91)
| ~ spl92_103 ),
inference(resolution,[],[f3114,f255]) ).
fof(f255,plain,
! [X0] :
( sP7(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f3114,plain,
( ~ sP7(sK91)
| ~ spl92_103 ),
inference(resolution,[],[f891,f410]) ).
fof(f891,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP7(X0) )
| ~ spl92_103 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f2893,plain,
( spl92_97
| spl92_100
| ~ spl92_7 ),
inference(avatar_split_clause,[],[f2892,f432,f876,f864]) ).
fof(f864,plain,
( spl92_97
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_97])]) ).
fof(f2892,plain,
( ! [X0] :
( r1(sK91,sK73(sK91))
| ~ r1(X0,sK91)
| ~ sP8(X0) )
| ~ spl92_7 ),
inference(subsumption_resolution,[],[f2837,f367]) ).
fof(f367,plain,
! [X0,X1] :
( r1(X1,sK73(X1))
| ~ p204(sK74(X1))
| ~ r1(X0,X1)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0] :
( ! [X1] :
( ( ~ p104(sK73(X1))
& r1(X1,sK73(X1)) )
| ( ~ p204(sK74(X1))
& r1(X1,sK74(X1)) )
| ~ r1(X0,X1) )
| ~ sP8(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK73,sK74])],[f181,f183,f182]) ).
fof(f182,plain,
! [X1] :
( ? [X2] :
( ~ p104(X2)
& r1(X1,X2) )
=> ( ~ p104(sK73(X1))
& r1(X1,sK73(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f183,plain,
! [X1] :
( ? [X3] :
( ~ p204(X3)
& r1(X1,X3) )
=> ( ~ p204(sK74(X1))
& r1(X1,sK74(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f181,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p104(X2)
& r1(X1,X2) )
| ? [X3] :
( ~ p204(X3)
& r1(X1,X3) )
| ~ r1(X0,X1) )
| ~ sP8(X0) ),
inference(rectify,[],[f180]) ).
fof(f180,plain,
! [X11] :
( ! [X72] :
( ? [X73] :
( ~ p104(X73)
& r1(X72,X73) )
| ? [X74] :
( ~ p204(X74)
& r1(X72,X74) )
| ~ r1(X11,X72) )
| ~ sP8(X11) ),
inference(nnf_transformation,[],[f19]) ).
fof(f2837,plain,
( ! [X0] :
( p204(sK74(sK91))
| r1(sK91,sK73(sK91))
| ~ r1(X0,sK91)
| ~ sP8(X0) )
| ~ spl92_7 ),
inference(resolution,[],[f433,f366]) ).
fof(f366,plain,
! [X0,X1] :
( r1(X1,sK74(X1))
| r1(X1,sK73(X1))
| ~ r1(X0,X1)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f2891,plain,
( spl92_97
| ~ spl92_102
| ~ spl92_7 ),
inference(avatar_split_clause,[],[f2890,f432,f885,f864]) ).
fof(f2890,plain,
( ! [X0] :
( ~ p104(sK73(sK91))
| ~ r1(X0,sK91)
| ~ sP8(X0) )
| ~ spl92_7 ),
inference(subsumption_resolution,[],[f2838,f369]) ).
fof(f369,plain,
! [X0,X1] :
( ~ p104(sK73(X1))
| ~ p204(sK74(X1))
| ~ r1(X0,X1)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f2838,plain,
( ! [X0] :
( p204(sK74(sK91))
| ~ p104(sK73(sK91))
| ~ r1(X0,sK91)
| ~ sP8(X0) )
| ~ spl92_7 ),
inference(resolution,[],[f433,f368]) ).
fof(f368,plain,
! [X0,X1] :
( r1(X1,sK74(X1))
| ~ p104(sK73(X1))
| ~ r1(X0,X1)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f2889,plain,
~ spl92_97,
inference(avatar_contradiction_clause,[],[f2888]) ).
fof(f2888,plain,
( $false
| ~ spl92_97 ),
inference(subsumption_resolution,[],[f2886,f527]) ).
fof(f2886,plain,
( ~ sP40(sK91)
| ~ spl92_97 ),
inference(resolution,[],[f2883,f256]) ).
fof(f256,plain,
! [X0] :
( sP8(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f2883,plain,
( ~ sP8(sK91)
| ~ spl92_97 ),
inference(resolution,[],[f865,f410]) ).
fof(f865,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP8(X0) )
| ~ spl92_97 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f2882,plain,
~ spl92_89,
inference(avatar_contradiction_clause,[],[f2881]) ).
fof(f2881,plain,
( $false
| ~ spl92_89 ),
inference(subsumption_resolution,[],[f2879,f527]) ).
fof(f2879,plain,
( ~ sP40(sK91)
| ~ spl92_89 ),
inference(resolution,[],[f2876,f228]) ).
fof(f228,plain,
! [X0] :
( sP10(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f2876,plain,
( ~ sP10(sK91)
| ~ spl92_89 ),
inference(resolution,[],[f831,f410]) ).
fof(f831,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP10(X0) )
| ~ spl92_89 ),
inference(avatar_component_clause,[],[f830]) ).
fof(f2875,plain,
~ spl92_81,
inference(avatar_contradiction_clause,[],[f2874]) ).
fof(f2874,plain,
( $false
| ~ spl92_81 ),
inference(subsumption_resolution,[],[f2872,f527]) ).
fof(f2872,plain,
( ~ sP40(sK91)
| ~ spl92_81 ),
inference(resolution,[],[f2869,f233]) ).
fof(f233,plain,
! [X0] :
( sP14(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f2869,plain,
( ~ sP14(sK91)
| ~ spl92_81 ),
inference(resolution,[],[f795,f410]) ).
fof(f795,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP14(X0) )
| ~ spl92_81 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f794,plain,
( spl92_81
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP14(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_81])]) ).
fof(f2799,plain,
( spl92_55
| spl92_220
| ~ spl92_8
| ~ spl92_28 ),
inference(avatar_split_clause,[],[f2794,f515,f435,f2796,f686]) ).
fof(f2794,plain,
( ! [X0] :
( p203(sK53(sK91))
| ~ r1(X0,sK91)
| ~ sP27(X0) )
| ~ spl92_8
| ~ spl92_28 ),
inference(subsumption_resolution,[],[f2734,f517]) ).
fof(f2734,plain,
( ! [X0] :
( p203(sK53(sK91))
| ~ p603(sK91)
| ~ r1(X0,sK91)
| ~ sP27(X0) )
| ~ spl92_8 ),
inference(resolution,[],[f436,f326]) ).
fof(f326,plain,
! [X0,X1] :
( r1(X1,sK53(X1))
| ~ p603(X1)
| ~ r1(X0,X1)
| ~ sP27(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f2708,plain,
~ spl92_77,
inference(avatar_contradiction_clause,[],[f2707]) ).
fof(f2707,plain,
( $false
| ~ spl92_77 ),
inference(subsumption_resolution,[],[f2705,f527]) ).
fof(f2705,plain,
( ~ sP40(sK91)
| ~ spl92_77 ),
inference(resolution,[],[f2702,f237]) ).
fof(f237,plain,
! [X0] :
( sP16(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f2702,plain,
( ~ sP16(sK91)
| ~ spl92_77 ),
inference(resolution,[],[f777,f410]) ).
fof(f777,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP16(X0) )
| ~ spl92_77 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f776,plain,
( spl92_77
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP16(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_77])]) ).
fof(f2701,plain,
~ spl92_73,
inference(avatar_contradiction_clause,[],[f2700]) ).
fof(f2700,plain,
( $false
| ~ spl92_73 ),
inference(subsumption_resolution,[],[f2698,f527]) ).
fof(f2698,plain,
( ~ sP40(sK91)
| ~ spl92_73 ),
inference(resolution,[],[f2695,f245]) ).
fof(f245,plain,
! [X0] :
( sP18(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f2695,plain,
( ~ sP18(sK91)
| ~ spl92_73 ),
inference(resolution,[],[f759,f410]) ).
fof(f759,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP18(X0) )
| ~ spl92_73 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f758,plain,
( spl92_73
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP18(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_73])]) ).
fof(f2694,plain,
~ spl92_61,
inference(avatar_contradiction_clause,[],[f2693]) ).
fof(f2693,plain,
( $false
| ~ spl92_61 ),
inference(subsumption_resolution,[],[f2691,f527]) ).
fof(f2691,plain,
( ~ sP40(sK91)
| ~ spl92_61 ),
inference(resolution,[],[f2688,f252]) ).
fof(f252,plain,
! [X0] :
( sP24(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f2688,plain,
( ~ sP24(sK91)
| ~ spl92_61 ),
inference(resolution,[],[f711,f410]) ).
fof(f711,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP24(X0) )
| ~ spl92_61 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f2687,plain,
~ spl92_55,
inference(avatar_contradiction_clause,[],[f2686]) ).
fof(f2686,plain,
( $false
| ~ spl92_55 ),
inference(subsumption_resolution,[],[f2684,f527]) ).
fof(f2684,plain,
( ~ sP40(sK91)
| ~ spl92_55 ),
inference(resolution,[],[f2681,f263]) ).
fof(f263,plain,
! [X0] :
( sP27(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f2681,plain,
( ~ sP27(sK91)
| ~ spl92_55 ),
inference(resolution,[],[f687,f410]) ).
fof(f687,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP27(X0) )
| ~ spl92_55 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f2680,plain,
~ spl92_49,
inference(avatar_contradiction_clause,[],[f2679]) ).
fof(f2679,plain,
( $false
| ~ spl92_49 ),
inference(subsumption_resolution,[],[f2677,f527]) ).
fof(f2677,plain,
( ~ sP40(sK91)
| ~ spl92_49 ),
inference(resolution,[],[f2674,f266]) ).
fof(f266,plain,
! [X0] :
( sP30(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f2674,plain,
( ~ sP30(sK91)
| ~ spl92_49 ),
inference(resolution,[],[f663,f410]) ).
fof(f663,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP30(X0) )
| ~ spl92_49 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f2666,plain,
( spl92_81
| ~ spl92_26
| ~ spl92_6 ),
inference(avatar_split_clause,[],[f2665,f429,f507,f794]) ).
fof(f2665,plain,
( ! [X0] :
( ~ p605(sK91)
| ~ r1(X0,sK91)
| ~ sP14(X0) )
| ~ spl92_6 ),
inference(subsumption_resolution,[],[f2123,f353]) ).
fof(f353,plain,
! [X0,X1] :
( ~ p205(sK66(X1))
| ~ p605(X1)
| ~ r1(X0,X1)
| ~ sP14(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0] :
( ! [X1] :
( ( ~ p205(sK66(X1))
& r1(X1,sK66(X1)) )
| ~ p605(X1)
| ~ r1(X0,X1) )
| ~ sP14(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK66])],[f156,f157]) ).
fof(f157,plain,
! [X1] :
( ? [X2] :
( ~ p205(X2)
& r1(X1,X2) )
=> ( ~ p205(sK66(X1))
& r1(X1,sK66(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f156,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p205(X2)
& r1(X1,X2) )
| ~ p605(X1)
| ~ r1(X0,X1) )
| ~ sP14(X0) ),
inference(rectify,[],[f155]) ).
fof(f155,plain,
! [X11] :
( ! [X123] :
( ? [X124] :
( ~ p205(X124)
& r1(X123,X124) )
| ~ p605(X123)
| ~ r1(X11,X123) )
| ~ sP14(X11) ),
inference(nnf_transformation,[],[f25]) ).
fof(f2123,plain,
( ! [X0] :
( p205(sK66(sK91))
| ~ p605(sK91)
| ~ r1(X0,sK91)
| ~ sP14(X0) )
| ~ spl92_6 ),
inference(resolution,[],[f430,f352]) ).
fof(f352,plain,
! [X0,X1] :
( r1(X1,sK66(X1))
| ~ p605(X1)
| ~ r1(X0,X1)
| ~ sP14(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f2654,plain,
( spl92_77
| ~ spl92_26
| ~ spl92_1 ),
inference(avatar_split_clause,[],[f2653,f412,f507,f776]) ).
fof(f2653,plain,
( ! [X0] :
( ~ p605(sK91)
| ~ r1(X0,sK91)
| ~ sP16(X0) )
| ~ spl92_1 ),
inference(subsumption_resolution,[],[f2504,f349]) ).
fof(f349,plain,
! [X0,X1] :
( ~ p105(sK64(X1))
| ~ p605(X1)
| ~ r1(X0,X1)
| ~ sP16(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0] :
( ! [X1] :
( ( ~ p105(sK64(X1))
& r1(X1,sK64(X1)) )
| ~ p605(X1)
| ~ r1(X0,X1) )
| ~ sP16(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK64])],[f148,f149]) ).
fof(f149,plain,
! [X1] :
( ? [X2] :
( ~ p105(X2)
& r1(X1,X2) )
=> ( ~ p105(sK64(X1))
& r1(X1,sK64(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p105(X2)
& r1(X1,X2) )
| ~ p605(X1)
| ~ r1(X0,X1) )
| ~ sP16(X0) ),
inference(rectify,[],[f147]) ).
fof(f147,plain,
! [X11] :
( ! [X113] :
( ? [X114] :
( ~ p105(X114)
& r1(X113,X114) )
| ~ p605(X113)
| ~ r1(X11,X113) )
| ~ sP16(X11) ),
inference(nnf_transformation,[],[f27]) ).
fof(f2504,plain,
( ! [X0] :
( p105(sK64(sK91))
| ~ p605(sK91)
| ~ r1(X0,sK91)
| ~ sP16(X0) )
| ~ spl92_1 ),
inference(resolution,[],[f413,f348]) ).
fof(f348,plain,
! [X0,X1] :
( r1(X1,sK64(X1))
| ~ p605(X1)
| ~ r1(X0,X1)
| ~ sP16(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f2617,plain,
~ spl92_47,
inference(avatar_contradiction_clause,[],[f2616]) ).
fof(f2616,plain,
( $false
| ~ spl92_47 ),
inference(subsumption_resolution,[],[f2614,f527]) ).
fof(f2614,plain,
( ~ sP40(sK91)
| ~ spl92_47 ),
inference(resolution,[],[f2611,f267]) ).
fof(f267,plain,
! [X0] :
( sP31(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f2611,plain,
( ~ sP31(sK91)
| ~ spl92_47 ),
inference(resolution,[],[f655,f410]) ).
fof(f655,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP31(X0) )
| ~ spl92_47 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f654,plain,
( spl92_47
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP31(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_47])]) ).
fof(f2610,plain,
~ spl92_33,
inference(avatar_contradiction_clause,[],[f2609]) ).
fof(f2609,plain,
( $false
| ~ spl92_33 ),
inference(subsumption_resolution,[],[f2607,f527]) ).
fof(f2607,plain,
( ~ sP40(sK91)
| ~ spl92_33 ),
inference(resolution,[],[f2604,f285]) ).
fof(f285,plain,
! [X0] :
( sP38(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f2604,plain,
( ~ sP38(sK91)
| ~ spl92_33 ),
inference(resolution,[],[f599,f410]) ).
fof(f599,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP38(X0) )
| ~ spl92_33 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f2472,plain,
( spl92_47
| ~ spl92_28
| ~ spl92_156 ),
inference(avatar_split_clause,[],[f2164,f1463,f515,f654]) ).
fof(f1463,plain,
( spl92_156
<=> p103(sK49(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_156])]) ).
fof(f2164,plain,
( ! [X0] :
( ~ p603(sK91)
| ~ r1(X0,sK91)
| ~ sP31(X0) )
| ~ spl92_156 ),
inference(resolution,[],[f1465,f319]) ).
fof(f319,plain,
! [X0,X1] :
( ~ p103(sK49(X1))
| ~ p603(X1)
| ~ r1(X0,X1)
| ~ sP31(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ! [X1] :
( ( ~ p103(sK49(X1))
& r1(X1,sK49(X1)) )
| ~ p603(X1)
| ~ r1(X0,X1) )
| ~ sP31(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK49])],[f88,f89]) ).
fof(f89,plain,
! [X1] :
( ? [X2] :
( ~ p103(X2)
& r1(X1,X2) )
=> ( ~ p103(sK49(X1))
& r1(X1,sK49(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p103(X2)
& r1(X1,X2) )
| ~ p603(X1)
| ~ r1(X0,X1) )
| ~ sP31(X0) ),
inference(rectify,[],[f87]) ).
fof(f87,plain,
! [X11] :
( ! [X56] :
( ? [X57] :
( ~ p103(X57)
& r1(X56,X57) )
| ~ p603(X56)
| ~ r1(X11,X56) )
| ~ sP31(X11) ),
inference(nnf_transformation,[],[f42]) ).
fof(f1465,plain,
( p103(sK49(sK91))
| ~ spl92_156 ),
inference(avatar_component_clause,[],[f1463]) ).
fof(f2396,plain,
( ~ spl92_14
| ~ spl92_24 ),
inference(avatar_contradiction_clause,[],[f2395]) ).
fof(f2395,plain,
( $false
| ~ spl92_14
| ~ spl92_24 ),
inference(unit_resulting_resolution,[],[f527,f410,f500,f459,f276]) ).
fof(f276,plain,
! [X21,X0] :
( ~ r1(X0,X21)
| ~ p502(X21)
| ~ p302(X21)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f500,plain,
( p502(sK91)
| ~ spl92_24 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f2374,plain,
~ spl92_41,
inference(avatar_contradiction_clause,[],[f2373]) ).
fof(f2373,plain,
( $false
| ~ spl92_41 ),
inference(subsumption_resolution,[],[f2371,f527]) ).
fof(f2371,plain,
( ~ sP40(sK91)
| ~ spl92_41 ),
inference(resolution,[],[f2368,f270]) ).
fof(f270,plain,
! [X0] :
( sP34(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f2368,plain,
( ~ sP34(sK91)
| ~ spl92_41 ),
inference(resolution,[],[f631,f410]) ).
fof(f631,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP34(X0) )
| ~ spl92_41 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f630,plain,
( spl92_41
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP34(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_41])]) ).
fof(f2367,plain,
~ spl92_39,
inference(avatar_contradiction_clause,[],[f2366]) ).
fof(f2366,plain,
( $false
| ~ spl92_39 ),
inference(subsumption_resolution,[],[f2364,f527]) ).
fof(f2364,plain,
( ~ sP40(sK91)
| ~ spl92_39 ),
inference(resolution,[],[f2361,f282]) ).
fof(f282,plain,
! [X0] :
( sP35(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f2361,plain,
( ~ sP35(sK91)
| ~ spl92_39 ),
inference(resolution,[],[f623,f410]) ).
fof(f623,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP35(X0) )
| ~ spl92_39 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f2360,plain,
~ spl92_35,
inference(avatar_contradiction_clause,[],[f2359]) ).
fof(f2359,plain,
( $false
| ~ spl92_35 ),
inference(subsumption_resolution,[],[f2357,f527]) ).
fof(f2357,plain,
( ~ sP40(sK91)
| ~ spl92_35 ),
inference(resolution,[],[f2354,f284]) ).
fof(f284,plain,
! [X0] :
( sP37(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f2354,plain,
( ~ sP37(sK91)
| ~ spl92_35 ),
inference(resolution,[],[f607,f410]) ).
fof(f607,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP37(X0) )
| ~ spl92_35 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f2027,plain,
( ~ spl92_9
| ~ spl92_24 ),
inference(avatar_contradiction_clause,[],[f2026]) ).
fof(f2026,plain,
( $false
| ~ spl92_9
| ~ spl92_24 ),
inference(unit_resulting_resolution,[],[f527,f410,f500,f440,f279]) ).
fof(f279,plain,
! [X0,X18] :
( ~ r1(X0,X18)
| ~ p502(X18)
| ~ p202(X18)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f2025,plain,
( ~ spl92_13
| ~ spl92_28 ),
inference(avatar_contradiction_clause,[],[f2024]) ).
fof(f2024,plain,
( $false
| ~ spl92_13
| ~ spl92_28 ),
inference(unit_resulting_resolution,[],[f527,f455,f410,f517,f260]) ).
fof(f260,plain,
! [X28,X0] :
( ~ r1(X0,X28)
| ~ p603(X28)
| ~ p303(X28)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f2023,plain,
( spl92_41
| ~ spl92_13
| ~ spl92_3 ),
inference(avatar_split_clause,[],[f2022,f418,f453,f630]) ).
fof(f2022,plain,
( ! [X0] :
( ~ p303(sK91)
| ~ r1(X0,sK91)
| ~ sP34(X0) )
| ~ spl92_3 ),
inference(subsumption_resolution,[],[f1695,f313]) ).
fof(f313,plain,
! [X0,X1] :
( ~ p103(sK46(X1))
| ~ p303(X1)
| ~ r1(X0,X1)
| ~ sP34(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ! [X1] :
( ( ~ p103(sK46(X1))
& r1(X1,sK46(X1)) )
| ~ p303(X1)
| ~ r1(X0,X1) )
| ~ sP34(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK46])],[f76,f77]) ).
fof(f77,plain,
! [X1] :
( ? [X2] :
( ~ p103(X2)
& r1(X1,X2) )
=> ( ~ p103(sK46(X1))
& r1(X1,sK46(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p103(X2)
& r1(X1,X2) )
| ~ p303(X1)
| ~ r1(X0,X1) )
| ~ sP34(X0) ),
inference(rectify,[],[f75]) ).
fof(f75,plain,
! [X11] :
( ! [X50] :
( ? [X51] :
( ~ p103(X51)
& r1(X50,X51) )
| ~ p303(X50)
| ~ r1(X11,X50) )
| ~ sP34(X11) ),
inference(nnf_transformation,[],[f45]) ).
fof(f1695,plain,
( ! [X0] :
( p103(sK46(sK91))
| ~ p303(sK91)
| ~ r1(X0,sK91)
| ~ sP34(X0) )
| ~ spl92_3 ),
inference(resolution,[],[f419,f312]) ).
fof(f312,plain,
! [X0,X1] :
( r1(X1,sK46(X1))
| ~ p303(X1)
| ~ r1(X0,X1)
| ~ sP34(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f1968,plain,
( spl92_73
| ~ spl92_27
| ~ spl92_12 ),
inference(avatar_split_clause,[],[f1967,f450,f511,f758]) ).
fof(f1967,plain,
( ! [X0] :
( ~ p604(sK91)
| ~ r1(X0,sK91)
| ~ sP18(X0) )
| ~ spl92_12 ),
inference(subsumption_resolution,[],[f1916,f345]) ).
fof(f345,plain,
! [X0,X1] :
( ~ p304(sK62(X1))
| ~ p604(X1)
| ~ r1(X0,X1)
| ~ sP18(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ! [X1] :
( ( ~ p304(sK62(X1))
& r1(X1,sK62(X1)) )
| ~ p604(X1)
| ~ r1(X0,X1) )
| ~ sP18(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK62])],[f140,f141]) ).
fof(f141,plain,
! [X1] :
( ? [X2] :
( ~ p304(X2)
& r1(X1,X2) )
=> ( ~ p304(sK62(X1))
& r1(X1,sK62(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ~ p304(X2)
& r1(X1,X2) )
| ~ p604(X1)
| ~ r1(X0,X1) )
| ~ sP18(X0) ),
inference(rectify,[],[f139]) ).
fof(f139,plain,
! [X11] :
( ! [X97] :
( ? [X98] :
( ~ p304(X98)
& r1(X97,X98) )
| ~ p604(X97)
| ~ r1(X11,X97) )
| ~ sP18(X11) ),
inference(nnf_transformation,[],[f29]) ).
fof(f1916,plain,
( ! [X0] :
( p304(sK62(sK91))
| ~ p604(sK91)
| ~ r1(X0,sK91)
| ~ sP18(X0) )
| ~ spl92_12 ),
inference(resolution,[],[f451,f344]) ).
fof(f344,plain,
! [X0,X1] :
( r1(X1,sK62(X1))
| ~ p604(X1)
| ~ r1(X0,X1)
| ~ sP18(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f1830,plain,
( ~ spl92_10
| ~ spl92_20 ),
inference(avatar_contradiction_clause,[],[f1829]) ).
fof(f1829,plain,
( $false
| ~ spl92_10
| ~ spl92_20 ),
inference(unit_resulting_resolution,[],[f527,f410,f483,f444,f295]) ).
fof(f295,plain,
! [X0,X7] :
( ~ r1(X0,X7)
| ~ p401(X7)
| ~ p201(X7)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f1471,plain,
~ spl92_91,
inference(avatar_contradiction_clause,[],[f1470]) ).
fof(f1470,plain,
( $false
| ~ spl92_91 ),
inference(subsumption_resolution,[],[f1468,f527]) ).
fof(f1468,plain,
( ~ sP40(sK91)
| ~ spl92_91 ),
inference(resolution,[],[f1362,f271]) ).
fof(f271,plain,
! [X0] :
( sP9(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f1362,plain,
( ~ sP9(sK91)
| ~ spl92_91 ),
inference(resolution,[],[f839,f410]) ).
fof(f839,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP9(X0) )
| ~ spl92_91 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f1466,plain,
( spl92_47
| spl92_156
| ~ spl92_3
| ~ spl92_28 ),
inference(avatar_split_clause,[],[f1461,f515,f418,f1463,f654]) ).
fof(f1461,plain,
( ! [X0] :
( p103(sK49(sK91))
| ~ r1(X0,sK91)
| ~ sP31(X0) )
| ~ spl92_3
| ~ spl92_28 ),
inference(subsumption_resolution,[],[f1403,f517]) ).
fof(f1403,plain,
( ! [X0] :
( p103(sK49(sK91))
| ~ p603(sK91)
| ~ r1(X0,sK91)
| ~ sP31(X0) )
| ~ spl92_3 ),
inference(resolution,[],[f419,f318]) ).
fof(f318,plain,
! [X0,X1] :
( r1(X1,sK49(X1))
| ~ p603(X1)
| ~ r1(X0,X1)
| ~ sP31(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f1392,plain,
( ~ spl92_24
| ~ spl92_29 ),
inference(avatar_contradiction_clause,[],[f1391]) ).
fof(f1391,plain,
( $false
| ~ spl92_24
| ~ spl92_29 ),
inference(unit_resulting_resolution,[],[f527,f500,f410,f521,f272]) ).
fof(f272,plain,
! [X0,X25] :
( ~ r1(X0,X25)
| ~ p602(X25)
| ~ p502(X25)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f1390,plain,
( ~ spl92_19
| ~ spl92_24 ),
inference(avatar_contradiction_clause,[],[f1389]) ).
fof(f1389,plain,
( $false
| ~ spl92_19
| ~ spl92_24 ),
inference(unit_resulting_resolution,[],[f527,f410,f500,f479,f274]) ).
fof(f274,plain,
! [X0,X23] :
( ~ r1(X0,X23)
| ~ p502(X23)
| ~ p402(X23)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f1388,plain,
( ~ spl92_20
| ~ spl92_30 ),
inference(avatar_contradiction_clause,[],[f1387]) ).
fof(f1387,plain,
( $false
| ~ spl92_20
| ~ spl92_30 ),
inference(unit_resulting_resolution,[],[f527,f410,f525,f483,f288]) ).
fof(f288,plain,
! [X0,X14] :
( ~ r1(X0,X14)
| ~ p601(X14)
| ~ p401(X14)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f1368,plain,
~ spl92_37,
inference(avatar_contradiction_clause,[],[f1367]) ).
fof(f1367,plain,
( $false
| ~ spl92_37 ),
inference(subsumption_resolution,[],[f1365,f527]) ).
fof(f1365,plain,
( ~ sP40(sK91)
| ~ spl92_37 ),
inference(resolution,[],[f1360,f283]) ).
fof(f283,plain,
! [X0] :
( sP36(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f1360,plain,
( ~ sP36(sK91)
| ~ spl92_37 ),
inference(resolution,[],[f615,f410]) ).
fof(f615,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP36(X0) )
| ~ spl92_37 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f1168,plain,
( ~ spl92_25
| ~ spl92_30 ),
inference(avatar_contradiction_clause,[],[f1167]) ).
fof(f1167,plain,
( $false
| ~ spl92_25
| ~ spl92_30 ),
inference(unit_resulting_resolution,[],[f525,f504,f410,f527,f287]) ).
fof(f287,plain,
! [X0,X15] :
( ~ r1(X0,X15)
| ~ p601(X15)
| ~ p501(X15)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f526,plain,
( spl92_26
| spl92_27
| spl92_28
| spl92_29
| spl92_30 ),
inference(avatar_split_clause,[],[f403,f523,f519,f515,f511,f507]) ).
fof(f403,plain,
( p601(sK91)
| p602(sK91)
| p603(sK91)
| p604(sK91)
| p605(sK91) ),
inference(cnf_transformation,[],[f226]) ).
fof(f505,plain,
( spl92_21
| spl92_22
| spl92_23
| spl92_24
| spl92_25 ),
inference(avatar_split_clause,[],[f404,f502,f498,f494,f490,f486]) ).
fof(f404,plain,
( p501(sK91)
| p502(sK91)
| p503(sK91)
| p504(sK91)
| p505(sK91) ),
inference(cnf_transformation,[],[f226]) ).
fof(f484,plain,
( spl92_16
| spl92_17
| spl92_18
| spl92_19
| spl92_20 ),
inference(avatar_split_clause,[],[f405,f481,f477,f473,f469,f466]) ).
fof(f405,plain,
! [X10] :
( p401(sK91)
| p402(sK91)
| p403(sK91)
| p404(sK91)
| p405(X10)
| ~ r1(sK91,X10) ),
inference(cnf_transformation,[],[f226]) ).
fof(f464,plain,
( spl92_11
| spl92_12
| spl92_13
| spl92_14
| spl92_15 ),
inference(avatar_split_clause,[],[f406,f461,f457,f453,f450,f447]) ).
fof(f406,plain,
! [X8,X9] :
( p301(sK91)
| p302(sK91)
| p303(sK91)
| p304(X8)
| ~ r1(sK91,X8)
| p305(X9)
| ~ r1(sK91,X9) ),
inference(cnf_transformation,[],[f226]) ).
fof(f445,plain,
( spl92_6
| spl92_7
| spl92_8
| spl92_9
| spl92_10 ),
inference(avatar_split_clause,[],[f407,f442,f438,f435,f432,f429]) ).
fof(f407,plain,
! [X6,X7,X5] :
( p201(sK91)
| p202(sK91)
| p203(X5)
| ~ r1(sK91,X5)
| p204(X6)
| ~ r1(sK91,X6)
| p205(X7)
| ~ r1(sK91,X7) ),
inference(cnf_transformation,[],[f226]) ).
fof(f427,plain,
( spl92_1
| spl92_2
| spl92_3
| spl92_4
| spl92_5 ),
inference(avatar_split_clause,[],[f408,f424,f421,f418,f415,f412]) ).
fof(f408,plain,
! [X2,X3,X1,X4] :
( p101(sK91)
| p102(X1)
| ~ r1(sK91,X1)
| p103(X2)
| ~ r1(sK91,X2)
| p104(X3)
| ~ r1(sK91,X3)
| p105(X4)
| ~ r1(sK91,X4) ),
inference(cnf_transformation,[],[f226]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : LCL684+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.15 % 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
% 0.16/0.36 % Computer : n016.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Apr 30 17:14:11 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_NEQ problem
% 0.16/0.36 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.dYVrYhc0YO/Vampire---4.8_21852
% 0.57/0.76 % (22074)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 (2996ds/56Mi)
% 0.57/0.76 % (22073)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 (2996ds/83Mi)
% 0.57/0.76 % (22067)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 (2996ds/34Mi)
% 0.57/0.76 % (22069)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.76 % (22071)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 (2996ds/34Mi)
% 0.57/0.76 % (22070)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.76 % (22072)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.76 % (22068)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 (2996ds/51Mi)
% 0.57/0.77 % (22074)Refutation not found, incomplete strategy% (22074)------------------------------
% 0.57/0.77 % (22074)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.77 % (22074)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.77
% 0.57/0.77 % (22074)Memory used [KB]: 1479
% 0.57/0.77 % (22074)Time elapsed: 0.007 s
% 0.57/0.77 % (22074)Instructions burned: 10 (million)
% 0.57/0.77 % (22074)------------------------------
% 0.57/0.77 % (22074)------------------------------
% 0.57/0.77 % (22077)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 (2996ds/55Mi)
% 0.57/0.79 % (22077)Refutation not found, incomplete strategy% (22077)------------------------------
% 0.57/0.79 % (22077)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.79 % (22077)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.79
% 0.57/0.79 % (22077)Memory used [KB]: 1532
% 0.57/0.79 % (22077)Time elapsed: 0.021 s
% 0.57/0.79 % (22077)Instructions burned: 39 (million)
% 0.57/0.79 % (22077)------------------------------
% 0.57/0.79 % (22077)------------------------------
% 0.57/0.79 % (22067)Instruction limit reached!
% 0.57/0.79 % (22067)------------------------------
% 0.57/0.79 % (22067)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.79 % (22067)Termination reason: Unknown
% 0.57/0.79 % (22067)Termination phase: Saturation
% 0.57/0.79
% 0.57/0.79 % (22067)Memory used [KB]: 1877
% 0.57/0.79 % (22067)Time elapsed: 0.033 s
% 0.57/0.79 % (22067)Instructions burned: 34 (million)
% 0.57/0.79 % (22070)Instruction limit reached!
% 0.57/0.79 % (22070)------------------------------
% 0.57/0.79 % (22070)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.79 % (22070)Termination reason: Unknown
% 0.57/0.79 % (22070)Termination phase: Saturation
% 0.57/0.79
% 0.57/0.79 % (22070)Memory used [KB]: 1930
% 0.57/0.79 % (22070)Time elapsed: 0.034 s
% 0.57/0.79 % (22070)Instructions burned: 34 (million)
% 0.57/0.79 % (22070)------------------------------
% 0.57/0.79 % (22070)------------------------------
% 0.57/0.79 % (22071)Instruction limit reached!
% 0.57/0.79 % (22071)------------------------------
% 0.57/0.79 % (22071)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.79 % (22071)Termination reason: Unknown
% 0.57/0.79 % (22071)Termination phase: Saturation
% 0.57/0.79
% 0.57/0.79 % (22071)Memory used [KB]: 2229
% 0.57/0.79 % (22071)Time elapsed: 0.034 s
% 0.57/0.79 % (22071)Instructions burned: 34 (million)
% 0.57/0.79 % (22071)------------------------------
% 0.57/0.79 % (22071)------------------------------
% 0.57/0.79 % (22067)------------------------------
% 0.57/0.79 % (22067)------------------------------
% 0.74/0.80 % (22082)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)
% 0.74/0.80 % (22083)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)
% 0.74/0.80 % (22084)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)
% 0.74/0.80 % (22085)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)
% 0.74/0.80 % (22073)Instruction limit reached!
% 0.74/0.80 % (22073)------------------------------
% 0.74/0.80 % (22073)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.74/0.80 % (22073)Termination reason: Unknown
% 0.74/0.80 % (22073)Termination phase: Saturation
% 0.74/0.80
% 0.74/0.80 % (22073)Memory used [KB]: 2060
% 0.74/0.80 % (22073)Time elapsed: 0.041 s
% 0.74/0.80 % (22073)Instructions burned: 84 (million)
% 0.74/0.80 % (22073)------------------------------
% 0.74/0.80 % (22073)------------------------------
% 0.74/0.80 % (22072)Instruction limit reached!
% 0.74/0.80 % (22072)------------------------------
% 0.74/0.80 % (22072)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.74/0.80 % (22072)Termination reason: Unknown
% 0.74/0.80 % (22072)Termination phase: Saturation
% 0.74/0.80
% 0.74/0.80 % (22072)Memory used [KB]: 2384
% 0.74/0.80 % (22072)Time elapsed: 0.044 s
% 0.74/0.80 % (22072)Instructions burned: 45 (million)
% 0.74/0.80 % (22072)------------------------------
% 0.74/0.80 % (22072)------------------------------
% 0.74/0.81 % (22086)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)
% 0.74/0.81 % (22087)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)
% 0.74/0.82 % (22068)Instruction limit reached!
% 0.74/0.82 % (22068)------------------------------
% 0.74/0.82 % (22068)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.74/0.82 % (22068)Termination reason: Unknown
% 0.74/0.82 % (22068)Termination phase: Saturation
% 0.74/0.82
% 0.74/0.82 % (22068)Memory used [KB]: 2301
% 0.74/0.82 % (22068)Time elapsed: 0.055 s
% 0.74/0.82 % (22068)Instructions burned: 51 (million)
% 0.74/0.82 % (22068)------------------------------
% 0.74/0.82 % (22068)------------------------------
% 0.74/0.82 % (22069)Instruction limit reached!
% 0.74/0.82 % (22069)------------------------------
% 0.74/0.82 % (22069)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.74/0.82 % (22069)Termination reason: Unknown
% 0.74/0.82 % (22069)Termination phase: Saturation
% 0.74/0.82
% 0.74/0.82 % (22069)Memory used [KB]: 1721
% 0.74/0.82 % (22069)Time elapsed: 0.058 s
% 0.74/0.82 % (22069)Instructions burned: 78 (million)
% 0.74/0.82 % (22069)------------------------------
% 0.74/0.82 % (22069)------------------------------
% 0.74/0.82 % (22082)Instruction limit reached!
% 0.74/0.82 % (22082)------------------------------
% 0.74/0.82 % (22082)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.74/0.82 % (22082)Termination reason: Unknown
% 0.74/0.82 % (22082)Termination phase: Saturation
% 0.74/0.82
% 0.74/0.82 % (22082)Memory used [KB]: 1982
% 0.74/0.82 % (22082)Time elapsed: 0.025 s
% 0.74/0.82 % (22082)Instructions burned: 52 (million)
% 0.74/0.82 % (22082)------------------------------
% 0.74/0.82 % (22082)------------------------------
% 0.74/0.82 % (22089)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)
% 0.74/0.82 % (22091)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.74/0.82 % (22090)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)
% 0.74/0.83 % (22086)Instruction limit reached!
% 0.74/0.83 % (22086)------------------------------
% 0.74/0.83 % (22086)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.74/0.83 % (22086)Termination reason: Unknown
% 0.74/0.83 % (22086)Termination phase: Saturation
% 0.74/0.83
% 0.74/0.83 % (22086)Memory used [KB]: 1627
% 0.74/0.83 % (22086)Time elapsed: 0.024 s
% 0.74/0.83 % (22086)Instructions burned: 43 (million)
% 0.74/0.83 % (22086)------------------------------
% 0.74/0.83 % (22086)------------------------------
% 0.74/0.83 % (22093)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.74/0.85 % (22084)Instruction limit reached!
% 0.74/0.85 % (22084)------------------------------
% 0.74/0.85 % (22084)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.74/0.85 % (22084)Termination reason: Unknown
% 0.74/0.85 % (22084)Termination phase: Saturation
% 0.74/0.85
% 0.74/0.85 % (22084)Memory used [KB]: 1872
% 0.74/0.85 % (22084)Time elapsed: 0.049 s
% 0.74/0.85 % (22084)Instructions burned: 52 (million)
% 0.74/0.85 % (22084)------------------------------
% 0.74/0.85 % (22084)------------------------------
% 0.74/0.85 % (22095)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.74/0.86 % (22093)Instruction limit reached!
% 0.74/0.86 % (22093)------------------------------
% 0.74/0.86 % (22093)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.74/0.86 % (22093)Termination reason: Unknown
% 0.74/0.86 % (22093)Termination phase: Saturation
% 0.74/0.86
% 0.74/0.86 % (22093)Memory used [KB]: 1993
% 0.74/0.86 % (22093)Time elapsed: 0.034 s
% 0.74/0.86 % (22093)Instructions burned: 63 (million)
% 0.74/0.86 % (22093)------------------------------
% 0.74/0.86 % (22093)------------------------------
% 1.09/0.87 % (22099)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 1.09/0.87 % (22091)Instruction limit reached!
% 1.09/0.87 % (22091)------------------------------
% 1.09/0.87 % (22091)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.09/0.87 % (22091)Termination reason: Unknown
% 1.09/0.87 % (22091)Termination phase: Saturation
% 1.09/0.87
% 1.09/0.87 % (22091)Memory used [KB]: 2233
% 1.09/0.87 % (22091)Time elapsed: 0.047 s
% 1.09/0.87 % (22091)Instructions burned: 93 (million)
% 1.09/0.87 % (22091)------------------------------
% 1.09/0.87 % (22091)------------------------------
% 1.09/0.87 % (22100)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2995ds/55Mi)
% 1.09/0.88 % (22095)Instruction limit reached!
% 1.09/0.88 % (22095)------------------------------
% 1.09/0.88 % (22095)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.09/0.88 % (22095)Termination reason: Unknown
% 1.09/0.88 % (22095)Termination phase: Saturation
% 1.09/0.88
% 1.09/0.88 % (22095)Memory used [KB]: 1765
% 1.09/0.88 % (22095)Time elapsed: 0.025 s
% 1.09/0.88 % (22095)Instructions burned: 32 (million)
% 1.09/0.88 % (22095)------------------------------
% 1.09/0.88 % (22095)------------------------------
% 1.09/0.88 % (22102)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2995ds/53Mi)
% 1.09/0.90 % (22100)Instruction limit reached!
% 1.09/0.90 % (22100)------------------------------
% 1.09/0.90 % (22100)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.09/0.90 % (22100)Termination reason: Unknown
% 1.09/0.90 % (22100)Termination phase: Saturation
% 1.09/0.90
% 1.09/0.90 % (22100)Memory used [KB]: 2038
% 1.09/0.90 % (22100)Time elapsed: 0.027 s
% 1.09/0.90 % (22100)Instructions burned: 55 (million)
% 1.09/0.90 % (22100)------------------------------
% 1.09/0.90 % (22100)------------------------------
% 1.09/0.90 % (22107)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2994ds/46Mi)
% 1.09/0.90 % (22089)Instruction limit reached!
% 1.09/0.90 % (22089)------------------------------
% 1.09/0.90 % (22089)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.09/0.90 % (22089)Termination reason: Unknown
% 1.09/0.90 % (22089)Termination phase: Saturation
% 1.09/0.90
% 1.09/0.90 % (22089)Memory used [KB]: 2708
% 1.09/0.90 % (22089)Time elapsed: 0.084 s
% 1.09/0.90 % (22089)Instructions burned: 118 (million)
% 1.09/0.90 % (22089)------------------------------
% 1.09/0.90 % (22089)------------------------------
% 1.09/0.91 % (22090)Instruction limit reached!
% 1.09/0.91 % (22090)------------------------------
% 1.09/0.91 % (22090)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.09/0.91 % (22090)Termination reason: Unknown
% 1.09/0.91 % (22090)Termination phase: Saturation
% 1.09/0.91
% 1.09/0.91 % (22102)Instruction limit reached!
% 1.09/0.91 % (22102)------------------------------
% 1.09/0.91 % (22102)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.09/0.91 % (22090)Memory used [KB]: 2516
% 1.09/0.91 % (22090)Time elapsed: 0.086 s
% 1.09/0.91 % (22090)Instructions burned: 143 (million)
% 1.09/0.91 % (22090)------------------------------
% 1.09/0.91 % (22090)------------------------------
% 1.09/0.91 % (22102)Termination reason: Unknown
% 1.09/0.91 % (22102)Termination phase: Saturation
% 1.09/0.91
% 1.09/0.91 % (22102)Memory used [KB]: 1894
% 1.09/0.91 % (22102)Time elapsed: 0.050 s
% 1.09/0.91 % (22102)Instructions burned: 54 (million)
% 1.09/0.91 % (22102)------------------------------
% 1.09/0.91 % (22102)------------------------------
% 1.09/0.91 % (22108)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2994ds/102Mi)
% 1.09/0.91 % (22110)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2994ds/87Mi)
% 1.09/0.91 % (22109)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2994ds/35Mi)
% 1.09/0.92 % (22083)Instruction limit reached!
% 1.09/0.92 % (22083)------------------------------
% 1.09/0.92 % (22083)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.09/0.92 % (22083)Termination reason: Unknown
% 1.09/0.92 % (22083)Termination phase: Saturation
% 1.09/0.92
% 1.09/0.92 % (22083)Memory used [KB]: 2869
% 1.09/0.92 % (22083)Time elapsed: 0.121 s
% 1.09/0.92 % (22083)Instructions burned: 209 (million)
% 1.09/0.92 % (22083)------------------------------
% 1.09/0.92 % (22083)------------------------------
% 1.09/0.92 % (22113)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2994ds/109Mi)
% 1.09/0.92 % (22107)Instruction limit reached!
% 1.09/0.92 % (22107)------------------------------
% 1.09/0.92 % (22107)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.09/0.92 % (22107)Termination reason: Unknown
% 1.09/0.92 % (22107)Termination phase: Saturation
% 1.09/0.92
% 1.09/0.92 % (22107)Memory used [KB]: 2111
% 1.09/0.92 % (22107)Time elapsed: 0.047 s
% 1.09/0.92 % (22107)Instructions burned: 48 (million)
% 1.09/0.92 % (22107)------------------------------
% 1.09/0.92 % (22107)------------------------------
% 1.09/0.93 % (22116)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2994ds/161Mi)
% 1.09/0.93 % (22109)Instruction limit reached!
% 1.09/0.93 % (22109)------------------------------
% 1.09/0.93 % (22109)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.09/0.93 % (22109)Termination reason: Unknown
% 1.09/0.93 % (22109)Termination phase: Saturation
% 1.09/0.93
% 1.09/0.93 % (22109)Memory used [KB]: 1630
% 1.09/0.93 % (22109)Time elapsed: 0.021 s
% 1.09/0.93 % (22109)Instructions burned: 35 (million)
% 1.09/0.93 % (22109)------------------------------
% 1.09/0.93 % (22109)------------------------------
% 1.09/0.93 % (22118)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2994ds/69Mi)
% 1.09/0.95 % (22110)Instruction limit reached!
% 1.09/0.95 % (22110)------------------------------
% 1.09/0.95 % (22110)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.09/0.95 % (22110)Termination reason: Unknown
% 1.09/0.95 % (22110)Termination phase: Saturation
% 1.09/0.95
% 1.09/0.95 % (22110)Memory used [KB]: 1639
% 1.09/0.95 % (22110)Time elapsed: 0.039 s
% 1.09/0.95 % (22110)Instructions burned: 88 (million)
% 1.09/0.95 % (22110)------------------------------
% 1.09/0.95 % (22110)------------------------------
% 1.09/0.95 % (22085)First to succeed.
% 1.09/0.95 % (22123)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2994ds/40Mi)
% 1.09/0.96 % (22108)Instruction limit reached!
% 1.09/0.96 % (22108)------------------------------
% 1.09/0.96 % (22108)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.09/0.96 % (22108)Termination reason: Unknown
% 1.09/0.96 % (22108)Termination phase: Saturation
% 1.09/0.96
% 1.09/0.96 % (22108)Memory used [KB]: 3759
% 1.09/0.96 % (22108)Time elapsed: 0.055 s
% 1.09/0.96 % (22108)Instructions burned: 102 (million)
% 1.09/0.96 % (22108)------------------------------
% 1.09/0.96 % (22108)------------------------------
% 1.09/0.96 % (22087)Instruction limit reached!
% 1.09/0.96 % (22087)------------------------------
% 1.09/0.96 % (22087)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.09/0.96 % (22087)Termination reason: Unknown
% 1.09/0.96 % (22087)Termination phase: Saturation
% 1.09/0.96
% 1.09/0.96 % (22087)Memory used [KB]: 3118
% 1.09/0.96 % (22087)Time elapsed: 0.152 s
% 1.09/0.96 % (22087)Instructions burned: 243 (million)
% 1.09/0.96 % (22087)------------------------------
% 1.09/0.96 % (22087)------------------------------
% 1.09/0.96 % (22118)Instruction limit reached!
% 1.09/0.96 % (22118)------------------------------
% 1.09/0.96 % (22118)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.09/0.96 % (22126)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2994ds/360Mi)
% 1.09/0.96 % (22118)Termination reason: Unknown
% 1.09/0.96 % (22127)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2994ds/161Mi)
% 1.09/0.96 % (22118)Termination phase: Saturation
% 1.09/0.96
% 1.09/0.96 % (22118)Memory used [KB]: 1770
% 1.09/0.96 % (22118)Time elapsed: 0.033 s
% 1.09/0.96 % (22118)Instructions burned: 69 (million)
% 1.09/0.96 % (22118)------------------------------
% 1.09/0.96 % (22118)------------------------------
% 1.83/0.97 % (22113)Instruction limit reached!
% 1.83/0.97 % (22113)------------------------------
% 1.83/0.97 % (22113)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.83/0.97 % (22113)Termination reason: Unknown
% 1.83/0.97 % (22113)Termination phase: Saturation
% 1.83/0.97
% 1.83/0.97 % (22113)Memory used [KB]: 1911
% 1.83/0.97 % (22113)Time elapsed: 0.048 s
% 1.83/0.97 % (22113)Instructions burned: 110 (million)
% 1.83/0.97 % (22113)------------------------------
% 1.83/0.97 % (22113)------------------------------
% 1.83/0.97 % (22130)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2994ds/80Mi)
% 1.83/0.97 % (22131)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on Vampire---4 for (2994ds/37Mi)
% 1.83/0.97 % (22123)Instruction limit reached!
% 1.83/0.97 % (22123)------------------------------
% 1.83/0.97 % (22123)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.83/0.97 % (22123)Termination reason: Unknown
% 1.83/0.97 % (22123)Termination phase: Saturation
% 1.83/0.97
% 1.83/0.97 % (22123)Memory used [KB]: 1893
% 1.83/0.97 % (22123)Time elapsed: 0.024 s
% 1.83/0.97 % (22123)Instructions burned: 41 (million)
% 1.83/0.97 % (22123)------------------------------
% 1.83/0.97 % (22123)------------------------------
% 1.83/0.98 % (22085)Refutation found. Thanks to Tanya!
% 1.83/0.98 % SZS status Theorem for Vampire---4
% 1.83/0.98 % SZS output start Proof for Vampire---4
% See solution above
% 1.83/0.99 % (22085)------------------------------
% 1.83/0.99 % (22085)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.83/0.99 % (22085)Termination reason: Refutation
% 1.83/0.99
% 1.83/0.99 % (22085)Memory used [KB]: 3869
% 1.83/0.99 % (22085)Time elapsed: 0.177 s
% 1.83/0.99 % (22085)Instructions burned: 281 (million)
% 1.83/0.99 % (22085)------------------------------
% 1.83/0.99 % (22085)------------------------------
% 1.83/0.99 % (22051)Success in time 0.61 s
% 1.83/0.99 % Vampire---4.8 exiting
%------------------------------------------------------------------------------