TSTP Solution File: LCL684+1.005 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL684+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.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 : Tue Apr 30 13:48:53 EDT 2024
% Result : Theorem 4.51s 0.99s
% Output : Refutation 4.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 277
% Syntax : Number of formulae : 1438 ( 80 unt; 0 def)
% Number of atoms : 6920 ( 0 equ)
% Maximal formula atoms : 316 ( 4 avg)
% Number of connectives : 10492 (5010 ~;4122 |;1126 &)
% ( 183 <=>; 51 =>; 0 <=; 0 <~>)
% Maximal formula depth : 92 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 256 ( 255 usr; 184 prp; 0-2 aty)
% Number of functors : 51 ( 51 usr; 1 con; 0-1 aty)
% Number of variables : 2126 (1818 !; 308 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f30205,plain,
$false,
inference(avatar_sat_refutation,[],[f431,f439,f447,f455,f463,f471,f493,f514,f522,f530,f533,f619,f637,f743,f2268,f2269,f2270,f2351,f2352,f2519,f2780,f3536,f3929,f3964,f3968,f4154,f4527,f5447,f5544,f5637,f7307,f7317,f8187,f8524,f8599,f8961,f8975,f8987,f9008,f9010,f9021,f9029,f9047,f9055,f9056,f9132,f9287,f9295,f9297,f9533,f9629,f9640,f10293,f10372,f10530,f10562,f10778,f11101,f11108,f11111,f11532,f11543,f11544,f11549,f11561,f11569,f11660,f12529,f12546,f12547,f12553,f12564,f12567,f12675,f12704,f12709,f12717,f12722,f12867,f12890,f12905,f12915,f12987,f12994,f13002,f13028,f13063,f13075,f13078,f13083,f13084,f13099,f13106,f13114,f13119,f13122,f13137,f13227,f13624,f13636,f13640,f13876,f13882,f13890,f14265,f14554,f14654,f14662,f14886,f14907,f15010,f15228,f15674,f15679,f15689,f15697,f15915,f16061,f16063,f16076,f16080,f16298,f16328,f16332,f16337,f16341,f16345,f16355,f16365,f16438,f16448,f16655,f16723,f16730,f16738,f16947,f16952,f16972,f17004,f17012,f17222,f17274,f17282,f17535,f17816,f17817,f17820,f18696,f18807,f18813,f19254,f19400,f19482,f19494,f19502,f19515,f19522,f19529,f19537,f19544,f19548,f19552,f19812,f19875,f19955,f19958,f19961,f20086,f20413,f20445,f20448,f20677,f20694,f20702,f20991,f20999,f21002,f21003,f21008,f21240,f21247,f21255,f21258,f21262,f22151,f22152,f22164,f22172,f22291,f22298,f22302,f22967,f23005,f23013,f23218,f23364,f23506,f23726,f24160,f24302,f24522,f24523,f24545,f24553,f24687,f24958,f24980,f24988,f25056,f25068,f25076,f25221,f25233,f25241,f25653,f25787,f25803,f26654,f26796,f26805,f27052,f27064,f27072,f27101,f27445,f27808,f27981,f28125,f28441,f28589,f28733,f28879,f29105,f29396,f29536,f29915,f30062,f30204]) ).
fof(f30204,plain,
spl98_521,
inference(avatar_contradiction_clause,[],[f30203]) ).
fof(f30203,plain,
( $false
| spl98_521 ),
inference(resolution,[],[f30063,f423]) ).
fof(f423,plain,
sP40(sK91),
inference(resolution,[],[f402,f409]) ).
fof(f409,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
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(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(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(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(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/benchmark/theBenchmark.p',main) ).
fof(f30063,plain,
( ~ sP40(sK91)
| spl98_521 ),
inference(resolution,[],[f30061,f266]) ).
fof(f266,plain,
! [X0] :
( sP30(X0)
| ~ 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(f30061,plain,
( ~ sP30(sK91)
| spl98_521 ),
inference(avatar_component_clause,[],[f30059]) ).
fof(f30059,plain,
( spl98_521
<=> sP30(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_521])]) ).
fof(f30062,plain,
( ~ spl98_521
| ~ spl98_30
| ~ spl98_520 ),
inference(avatar_split_clause,[],[f29916,f29912,f626,f30059]) ).
fof(f626,plain,
( spl98_30
<=> p303(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_30])]) ).
fof(f29912,plain,
( spl98_520
<=> p203(sK50(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_520])]) ).
fof(f29916,plain,
( ~ p303(sK91)
| ~ sP30(sK91)
| ~ spl98_520 ),
inference(resolution,[],[f29914,f682]) ).
fof(f682,plain,
! [X0] :
( ~ p203(sK50(X0))
| ~ p303(X0)
| ~ sP30(X0) ),
inference(resolution,[],[f321,f409]) ).
fof(f321,plain,
! [X0,X1] :
( ~ p203(sK50(X1))
| ~ r1(X0,X1)
| ~ p303(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(f29914,plain,
( p203(sK50(sK91))
| ~ spl98_520 ),
inference(avatar_component_clause,[],[f29912]) ).
fof(f29915,plain,
( spl98_165
| ~ spl98_30
| spl98_520
| ~ spl98_26 ),
inference(avatar_split_clause,[],[f29559,f609,f29912,f626,f9281]) ).
fof(f9281,plain,
( spl98_165
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP30(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_165])]) ).
fof(f609,plain,
( spl98_26
<=> ! [X5] :
( p203(X5)
| ~ r1(sK91,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_26])]) ).
fof(f29559,plain,
( ! [X0] :
( p203(sK50(sK91))
| ~ p303(sK91)
| ~ r1(X0,sK91)
| ~ sP30(X0) )
| ~ spl98_26 ),
inference(resolution,[],[f610,f320]) ).
fof(f320,plain,
! [X0,X1] :
( r1(X1,sK50(X1))
| ~ p303(X1)
| ~ r1(X0,X1)
| ~ sP30(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f610,plain,
( ! [X5] :
( ~ r1(sK91,X5)
| p203(X5) )
| ~ spl98_26 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f29536,plain,
spl98_517,
inference(avatar_contradiction_clause,[],[f29535]) ).
fof(f29535,plain,
( $false
| spl98_517 ),
inference(resolution,[],[f29534,f423]) ).
fof(f29534,plain,
( ~ sP40(sK91)
| spl98_517 ),
inference(resolution,[],[f29395,f233]) ).
fof(f233,plain,
! [X0] :
( sP14(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f29395,plain,
( ~ sP14(sK91)
| spl98_517 ),
inference(avatar_component_clause,[],[f29393]) ).
fof(f29393,plain,
( spl98_517
<=> sP14(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_517])]) ).
fof(f29396,plain,
( ~ spl98_517
| ~ spl98_13
| ~ spl98_514 ),
inference(avatar_split_clause,[],[f29106,f29102,f474,f29393]) ).
fof(f474,plain,
( spl98_13
<=> p605(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_13])]) ).
fof(f29102,plain,
( spl98_514
<=> p205(sK66(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_514])]) ).
fof(f29106,plain,
( ~ p605(sK91)
| ~ sP14(sK91)
| ~ spl98_514 ),
inference(resolution,[],[f29104,f714]) ).
fof(f714,plain,
! [X0] :
( ~ p205(sK66(X0))
| ~ p605(X0)
| ~ sP14(X0) ),
inference(resolution,[],[f353,f409]) ).
fof(f353,plain,
! [X0,X1] :
( ~ p205(sK66(X1))
| ~ r1(X0,X1)
| ~ p605(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(f29104,plain,
( p205(sK66(sK91))
| ~ spl98_514 ),
inference(avatar_component_clause,[],[f29102]) ).
fof(f29105,plain,
( spl98_234
| ~ spl98_13
| spl98_514
| ~ spl98_10 ),
inference(avatar_split_clause,[],[f28924,f461,f29102,f474,f12852]) ).
fof(f12852,plain,
( spl98_234
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP14(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_234])]) ).
fof(f461,plain,
( spl98_10
<=> ! [X7] :
( p205(X7)
| ~ r1(sK91,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_10])]) ).
fof(f28924,plain,
( ! [X0] :
( p205(sK66(sK91))
| ~ p605(sK91)
| ~ r1(X0,sK91)
| ~ sP14(X0) )
| ~ spl98_10 ),
inference(resolution,[],[f462,f352]) ).
fof(f352,plain,
! [X0,X1] :
( r1(X1,sK66(X1))
| ~ p605(X1)
| ~ r1(X0,X1)
| ~ sP14(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f462,plain,
( ! [X7] :
( ~ r1(sK91,X7)
| p205(X7) )
| ~ spl98_10 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f28879,plain,
( ~ spl98_270
| ~ spl98_512 ),
inference(avatar_contradiction_clause,[],[f28877]) ).
fof(f28877,plain,
( $false
| ~ spl98_270
| ~ spl98_512 ),
inference(resolution,[],[f28734,f28587]) ).
fof(f28587,plain,
( sP20(sK91)
| ~ spl98_512 ),
inference(avatar_component_clause,[],[f28586]) ).
fof(f28586,plain,
( spl98_512
<=> sP20(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_512])]) ).
fof(f28734,plain,
( ~ sP20(sK91)
| ~ spl98_270 ),
inference(resolution,[],[f13144,f409]) ).
fof(f13144,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP20(X0) )
| ~ spl98_270 ),
inference(avatar_component_clause,[],[f13143]) ).
fof(f13143,plain,
( spl98_270
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP20(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_270])]) ).
fof(f28733,plain,
spl98_512,
inference(avatar_contradiction_clause,[],[f28732]) ).
fof(f28732,plain,
( $false
| spl98_512 ),
inference(resolution,[],[f28590,f423]) ).
fof(f28590,plain,
( ~ sP40(sK91)
| spl98_512 ),
inference(resolution,[],[f28588,f247]) ).
fof(f247,plain,
! [X0] :
( sP20(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f28588,plain,
( ~ sP20(sK91)
| spl98_512 ),
inference(avatar_component_clause,[],[f28586]) ).
fof(f28589,plain,
( ~ spl98_512
| ~ spl98_34
| ~ spl98_511 ),
inference(avatar_split_clause,[],[f28442,f28438,f728,f28586]) ).
fof(f728,plain,
( spl98_34
<=> p404(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_34])]) ).
fof(f28438,plain,
( spl98_511
<=> p304(sK60(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_511])]) ).
fof(f28442,plain,
( ~ p404(sK91)
| ~ sP20(sK91)
| ~ spl98_511 ),
inference(resolution,[],[f28440,f702]) ).
fof(f702,plain,
! [X0] :
( ~ p304(sK60(X0))
| ~ p404(X0)
| ~ sP20(X0) ),
inference(resolution,[],[f341,f409]) ).
fof(f341,plain,
! [X0,X1] :
( ~ p304(sK60(X1))
| ~ r1(X0,X1)
| ~ p404(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(f28440,plain,
( p304(sK60(sK91))
| ~ spl98_511 ),
inference(avatar_component_clause,[],[f28438]) ).
fof(f28441,plain,
( spl98_270
| ~ spl98_34
| spl98_511
| ~ spl98_12 ),
inference(avatar_split_clause,[],[f28158,f469,f28438,f728,f13143]) ).
fof(f469,plain,
( spl98_12
<=> ! [X8] :
( p304(X8)
| ~ r1(sK91,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_12])]) ).
fof(f28158,plain,
( ! [X0] :
( p304(sK60(sK91))
| ~ p404(sK91)
| ~ r1(X0,sK91)
| ~ sP20(X0) )
| ~ spl98_12 ),
inference(resolution,[],[f470,f340]) ).
fof(f340,plain,
! [X0,X1] :
( r1(X1,sK60(X1))
| ~ p404(X1)
| ~ r1(X0,X1)
| ~ sP20(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f470,plain,
( ! [X8] :
( ~ r1(sK91,X8)
| p304(X8) )
| ~ spl98_12 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f28125,plain,
spl98_503,
inference(avatar_contradiction_clause,[],[f28124]) ).
fof(f28124,plain,
( $false
| spl98_503 ),
inference(resolution,[],[f28123,f423]) ).
fof(f28123,plain,
( ~ sP40(sK91)
| spl98_503 ),
inference(resolution,[],[f27980,f284]) ).
fof(f284,plain,
! [X0] :
( sP37(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f27980,plain,
( ~ sP37(sK91)
| spl98_503 ),
inference(avatar_component_clause,[],[f27978]) ).
fof(f27978,plain,
( spl98_503
<=> sP37(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_503])]) ).
fof(f27981,plain,
( ~ spl98_503
| ~ spl98_36
| ~ spl98_497 ),
inference(avatar_split_clause,[],[f27809,f27805,f736,f27978]) ).
fof(f736,plain,
( spl98_36
<=> p402(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_36])]) ).
fof(f27805,plain,
( spl98_497
<=> p102(sK43(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_497])]) ).
fof(f27809,plain,
( ~ p402(sK91)
| ~ sP37(sK91)
| ~ spl98_497 ),
inference(resolution,[],[f27807,f649]) ).
fof(f649,plain,
! [X0] :
( ~ p102(sK43(X0))
| ~ p402(X0)
| ~ sP37(X0) ),
inference(resolution,[],[f307,f409]) ).
fof(f307,plain,
! [X0,X1] :
( ~ p102(sK43(X1))
| ~ r1(X0,X1)
| ~ p402(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(f27807,plain,
( p102(sK43(sK91))
| ~ spl98_497 ),
inference(avatar_component_clause,[],[f27805]) ).
fof(f27808,plain,
( spl98_43
| ~ spl98_36
| spl98_497
| ~ spl98_6 ),
inference(avatar_split_clause,[],[f27464,f445,f27805,f736,f1021]) ).
fof(f1021,plain,
( spl98_43
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP37(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_43])]) ).
fof(f445,plain,
( spl98_6
<=> ! [X1] :
( p102(X1)
| ~ r1(sK91,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_6])]) ).
fof(f27464,plain,
( ! [X0] :
( p102(sK43(sK91))
| ~ p402(sK91)
| ~ r1(X0,sK91)
| ~ sP37(X0) )
| ~ spl98_6 ),
inference(resolution,[],[f446,f306]) ).
fof(f306,plain,
! [X0,X1] :
( r1(X1,sK43(X1))
| ~ p402(X1)
| ~ r1(X0,X1)
| ~ sP37(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f446,plain,
( ! [X1] :
( ~ r1(sK91,X1)
| p102(X1) )
| ~ spl98_6 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f27445,plain,
( ~ spl98_25
| ~ spl98_19
| ~ spl98_34 ),
inference(avatar_split_clause,[],[f27103,f728,f499,f527]) ).
fof(f527,plain,
( spl98_25
<=> sP40(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_25])]) ).
fof(f499,plain,
( spl98_19
<=> p504(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_19])]) ).
fof(f27103,plain,
( ~ p504(sK91)
| ~ sP40(sK91)
| ~ spl98_34 ),
inference(resolution,[],[f730,f534]) ).
fof(f534,plain,
! [X0] :
( ~ p404(X0)
| ~ p504(X0)
| ~ sP40(X0) ),
inference(resolution,[],[f244,f409]) ).
fof(f244,plain,
! [X0,X32] :
( ~ r1(X0,X32)
| ~ p504(X32)
| ~ p404(X32)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f730,plain,
( p404(sK91)
| ~ spl98_34 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f27101,plain,
( ~ spl98_25
| ~ spl98_20
| ~ spl98_30 ),
inference(avatar_split_clause,[],[f27084,f626,f503,f527]) ).
fof(f503,plain,
( spl98_20
<=> p503(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_20])]) ).
fof(f27084,plain,
( ~ p503(sK91)
| ~ sP40(sK91)
| ~ spl98_30 ),
inference(resolution,[],[f628,f539]) ).
fof(f539,plain,
! [X0] :
( ~ p303(X0)
| ~ p503(X0)
| ~ sP40(X0) ),
inference(resolution,[],[f261,f409]) ).
fof(f261,plain,
! [X0,X27] :
( ~ r1(X0,X27)
| ~ p503(X27)
| ~ p303(X27)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f628,plain,
( p303(sK91)
| ~ spl98_30 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f27072,plain,
spl98_492,
inference(avatar_contradiction_clause,[],[f27071]) ).
fof(f27071,plain,
( $false
| spl98_492 ),
inference(resolution,[],[f27070,f423]) ).
fof(f27070,plain,
( ~ sP40(sK91)
| spl98_492 ),
inference(resolution,[],[f27063,f285]) ).
fof(f285,plain,
! [X0] :
( sP38(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f27063,plain,
( ~ sP38(sK91)
| spl98_492 ),
inference(avatar_component_clause,[],[f27061]) ).
fof(f27061,plain,
( spl98_492
<=> sP38(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_492])]) ).
fof(f27064,plain,
( ~ spl98_492
| ~ spl98_31
| ~ spl98_490 ),
inference(avatar_split_clause,[],[f27053,f27049,f630,f27061]) ).
fof(f630,plain,
( spl98_31
<=> p302(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_31])]) ).
fof(f27049,plain,
( spl98_490
<=> p102(sK42(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_490])]) ).
fof(f27053,plain,
( ~ p302(sK91)
| ~ sP38(sK91)
| ~ spl98_490 ),
inference(resolution,[],[f27051,f642]) ).
fof(f642,plain,
! [X0] :
( ~ p102(sK42(X0))
| ~ p302(X0)
| ~ sP38(X0) ),
inference(resolution,[],[f305,f409]) ).
fof(f305,plain,
! [X0,X1] :
( ~ p102(sK42(X1))
| ~ r1(X0,X1)
| ~ p302(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(f27051,plain,
( p102(sK42(sK91))
| ~ spl98_490 ),
inference(avatar_component_clause,[],[f27049]) ).
fof(f27052,plain,
( spl98_41
| ~ spl98_31
| spl98_490
| ~ spl98_6 ),
inference(avatar_split_clause,[],[f26820,f445,f27049,f630,f930]) ).
fof(f930,plain,
( spl98_41
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP38(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_41])]) ).
fof(f26820,plain,
( ! [X0] :
( p102(sK42(sK91))
| ~ p302(sK91)
| ~ r1(X0,sK91)
| ~ sP38(X0) )
| ~ spl98_6 ),
inference(resolution,[],[f446,f304]) ).
fof(f304,plain,
! [X0,X1] :
( r1(X1,sK42(X1))
| ~ p302(X1)
| ~ r1(X0,X1)
| ~ sP38(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f26805,plain,
( ~ spl98_25
| ~ spl98_31
| ~ spl98_27 ),
inference(avatar_split_clause,[],[f26798,f612,f630,f527]) ).
fof(f612,plain,
( spl98_27
<=> p202(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_27])]) ).
fof(f26798,plain,
( ~ p302(sK91)
| ~ sP40(sK91)
| ~ spl98_27 ),
inference(resolution,[],[f614,f550]) ).
fof(f550,plain,
! [X0] :
( ~ p202(X0)
| ~ p302(X0)
| ~ sP40(X0) ),
inference(resolution,[],[f281,f409]) ).
fof(f281,plain,
! [X0,X16] :
( ~ r1(X0,X16)
| ~ p302(X16)
| ~ p202(X16)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f614,plain,
( p202(sK91)
| ~ spl98_27 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f26796,plain,
spl98_483,
inference(avatar_contradiction_clause,[],[f26795]) ).
fof(f26795,plain,
( $false
| spl98_483 ),
inference(resolution,[],[f26655,f423]) ).
fof(f26655,plain,
( ~ sP40(sK91)
| spl98_483 ),
inference(resolution,[],[f26653,f235]) ).
fof(f235,plain,
! [X0] :
( sP1(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f26653,plain,
( ~ sP1(sK91)
| spl98_483 ),
inference(avatar_component_clause,[],[f26651]) ).
fof(f26651,plain,
( spl98_483
<=> sP1(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_483])]) ).
fof(f26654,plain,
( ~ spl98_483
| ~ spl98_122
| ~ spl98_124 ),
inference(avatar_split_clause,[],[f25804,f7069,f7060,f26651]) ).
fof(f7060,plain,
( spl98_122
<=> p405(sK88(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_122])]) ).
fof(f7069,plain,
( spl98_124
<=> p205(sK87(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_124])]) ).
fof(f25804,plain,
( ~ p405(sK88(sK91))
| ~ sP1(sK91)
| ~ spl98_124 ),
inference(resolution,[],[f7070,f3890]) ).
fof(f3890,plain,
! [X0] :
( ~ p205(sK87(X0))
| ~ p405(sK88(X0))
| ~ sP1(X0) ),
inference(resolution,[],[f397,f409]) ).
fof(f397,plain,
! [X0,X1] :
( ~ p205(sK87(X1))
| ~ r1(X0,X1)
| ~ p405(sK88(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(f7070,plain,
( p205(sK87(sK91))
| ~ spl98_124 ),
inference(avatar_component_clause,[],[f7069]) ).
fof(f25803,plain,
( spl98_121
| ~ spl98_122
| spl98_124
| ~ spl98_10 ),
inference(avatar_split_clause,[],[f25373,f461,f7069,f7060,f7057]) ).
fof(f7057,plain,
( spl98_121
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_121])]) ).
fof(f25373,plain,
( ! [X0] :
( p205(sK87(sK91))
| ~ p405(sK88(sK91))
| ~ r1(X0,sK91)
| ~ sP1(X0) )
| ~ spl98_10 ),
inference(resolution,[],[f462,f395]) ).
fof(f395,plain,
! [X0,X1] :
( r1(X1,sK87(X1))
| ~ p405(sK88(X1))
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f219]) ).
fof(f25787,plain,
( spl98_121
| ~ spl98_124
| spl98_122
| ~ spl98_33 ),
inference(avatar_split_clause,[],[f24369,f725,f7060,f7069,f7057]) ).
fof(f725,plain,
( spl98_33
<=> ! [X10] :
( p405(X10)
| ~ r1(sK91,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_33])]) ).
fof(f24369,plain,
( ! [X0] :
( p405(sK88(sK91))
| ~ p205(sK87(sK91))
| ~ r1(X0,sK91)
| ~ sP1(X0) )
| ~ spl98_33 ),
inference(resolution,[],[f726,f396]) ).
fof(f396,plain,
! [X0,X1] :
( r1(X1,sK88(X1))
| ~ p205(sK87(X1))
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f219]) ).
fof(f726,plain,
( ! [X10] :
( ~ r1(sK91,X10)
| p405(X10) )
| ~ spl98_33 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f25653,plain,
( spl98_121
| spl98_144
| spl98_122
| ~ spl98_33 ),
inference(avatar_split_clause,[],[f24368,f725,f7060,f8084,f7057]) ).
fof(f8084,plain,
( spl98_144
<=> r1(sK91,sK87(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_144])]) ).
fof(f24368,plain,
( ! [X0] :
( p405(sK88(sK91))
| r1(sK91,sK87(sK91))
| ~ r1(X0,sK91)
| ~ sP1(X0) )
| ~ spl98_33 ),
inference(resolution,[],[f726,f394]) ).
fof(f394,plain,
! [X0,X1] :
( r1(X1,sK88(X1))
| r1(X1,sK87(X1))
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f219]) ).
fof(f25241,plain,
spl98_476,
inference(avatar_contradiction_clause,[],[f25240]) ).
fof(f25240,plain,
( $false
| spl98_476 ),
inference(resolution,[],[f25239,f423]) ).
fof(f25239,plain,
( ~ sP40(sK91)
| spl98_476 ),
inference(resolution,[],[f25232,f229]) ).
fof(f229,plain,
! [X0] :
( sP11(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f25232,plain,
( ~ sP11(sK91)
| spl98_476 ),
inference(avatar_component_clause,[],[f25230]) ).
fof(f25230,plain,
( spl98_476
<=> sP11(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_476])]) ).
fof(f25233,plain,
( ~ spl98_476
| ~ spl98_18
| ~ spl98_474 ),
inference(avatar_split_clause,[],[f25222,f25218,f495,f25230]) ).
fof(f495,plain,
( spl98_18
<=> p505(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_18])]) ).
fof(f25218,plain,
( spl98_474
<=> p405(sK69(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_474])]) ).
fof(f25222,plain,
( ~ p505(sK91)
| ~ sP11(sK91)
| ~ spl98_474 ),
inference(resolution,[],[f25220,f720]) ).
fof(f720,plain,
! [X0] :
( ~ p405(sK69(X0))
| ~ p505(X0)
| ~ sP11(X0) ),
inference(resolution,[],[f359,f409]) ).
fof(f359,plain,
! [X0,X1] :
( ~ p405(sK69(X1))
| ~ r1(X0,X1)
| ~ p505(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(f25220,plain,
( p405(sK69(sK91))
| ~ spl98_474 ),
inference(avatar_component_clause,[],[f25218]) ).
fof(f25221,plain,
( spl98_163
| ~ spl98_18
| spl98_474
| ~ spl98_33 ),
inference(avatar_split_clause,[],[f24341,f725,f25218,f495,f9044]) ).
fof(f9044,plain,
( spl98_163
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP11(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_163])]) ).
fof(f24341,plain,
( ! [X0] :
( p405(sK69(sK91))
| ~ p505(sK91)
| ~ r1(X0,sK91)
| ~ sP11(X0) )
| ~ spl98_33 ),
inference(resolution,[],[f726,f358]) ).
fof(f358,plain,
! [X0,X1] :
( r1(X1,sK69(X1))
| ~ p505(X1)
| ~ r1(X0,X1)
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f25076,plain,
spl98_469,
inference(avatar_contradiction_clause,[],[f25075]) ).
fof(f25075,plain,
( $false
| spl98_469 ),
inference(resolution,[],[f25074,f423]) ).
fof(f25074,plain,
( ~ sP40(sK91)
| spl98_469 ),
inference(resolution,[],[f25067,f283]) ).
fof(f283,plain,
! [X0] :
( sP36(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f25067,plain,
( ~ sP36(sK91)
| spl98_469 ),
inference(avatar_component_clause,[],[f25065]) ).
fof(f25065,plain,
( spl98_469
<=> sP36(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_469])]) ).
fof(f25068,plain,
( ~ spl98_469
| ~ spl98_21
| ~ spl98_467 ),
inference(avatar_split_clause,[],[f25057,f25053,f507,f25065]) ).
fof(f507,plain,
( spl98_21
<=> p502(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_21])]) ).
fof(f25053,plain,
( spl98_467
<=> p102(sK44(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_467])]) ).
fof(f25057,plain,
( ~ p502(sK91)
| ~ sP36(sK91)
| ~ spl98_467 ),
inference(resolution,[],[f25055,f651]) ).
fof(f651,plain,
! [X0] :
( ~ p102(sK44(X0))
| ~ p502(X0)
| ~ sP36(X0) ),
inference(resolution,[],[f309,f409]) ).
fof(f309,plain,
! [X0,X1] :
( ~ p102(sK44(X1))
| ~ r1(X0,X1)
| ~ p502(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(f25055,plain,
( p102(sK44(sK91))
| ~ spl98_467 ),
inference(avatar_component_clause,[],[f25053]) ).
fof(f25056,plain,
( spl98_45
| ~ spl98_21
| spl98_467
| ~ spl98_6 ),
inference(avatar_split_clause,[],[f24701,f445,f25053,f507,f1112]) ).
fof(f1112,plain,
( spl98_45
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP36(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_45])]) ).
fof(f24701,plain,
( ! [X0] :
( p102(sK44(sK91))
| ~ p502(sK91)
| ~ r1(X0,sK91)
| ~ sP36(X0) )
| ~ spl98_6 ),
inference(resolution,[],[f446,f308]) ).
fof(f308,plain,
! [X0,X1] :
( r1(X1,sK44(X1))
| ~ p502(X1)
| ~ r1(X0,X1)
| ~ sP36(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f24988,plain,
spl98_465,
inference(avatar_contradiction_clause,[],[f24987]) ).
fof(f24987,plain,
( $false
| spl98_465 ),
inference(resolution,[],[f24986,f423]) ).
fof(f24986,plain,
( ~ sP40(sK91)
| spl98_465 ),
inference(resolution,[],[f24979,f228]) ).
fof(f228,plain,
! [X0] :
( sP10(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f24979,plain,
( ~ sP10(sK91)
| spl98_465 ),
inference(avatar_component_clause,[],[f24977]) ).
fof(f24977,plain,
( spl98_465
<=> sP10(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_465])]) ).
fof(f24980,plain,
( ~ spl98_465
| ~ spl98_13
| ~ spl98_461 ),
inference(avatar_split_clause,[],[f24959,f24955,f474,f24977]) ).
fof(f24955,plain,
( spl98_461
<=> p405(sK70(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_461])]) ).
fof(f24959,plain,
( ~ p605(sK91)
| ~ sP10(sK91)
| ~ spl98_461 ),
inference(resolution,[],[f24957,f722]) ).
fof(f722,plain,
! [X0] :
( ~ p405(sK70(X0))
| ~ p605(X0)
| ~ sP10(X0) ),
inference(resolution,[],[f361,f409]) ).
fof(f361,plain,
! [X0,X1] :
( ~ p405(sK70(X1))
| ~ r1(X0,X1)
| ~ p605(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(f24957,plain,
( p405(sK70(sK91))
| ~ spl98_461 ),
inference(avatar_component_clause,[],[f24955]) ).
fof(f24958,plain,
( spl98_238
| ~ spl98_13
| spl98_461
| ~ spl98_33 ),
inference(avatar_split_clause,[],[f24342,f725,f24955,f474,f12873]) ).
fof(f12873,plain,
( spl98_238
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_238])]) ).
fof(f24342,plain,
( ! [X0] :
( p405(sK70(sK91))
| ~ p605(sK91)
| ~ r1(X0,sK91)
| ~ sP10(X0) )
| ~ spl98_33 ),
inference(resolution,[],[f726,f360]) ).
fof(f360,plain,
! [X0,X1] :
( r1(X1,sK70(X1))
| ~ p605(X1)
| ~ r1(X0,X1)
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f174]) ).
fof(f24687,plain,
( spl98_111
| ~ spl98_114
| spl98_112
| ~ spl98_33 ),
inference(avatar_split_clause,[],[f24363,f725,f7018,f7027,f7015]) ).
fof(f7015,plain,
( spl98_111
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_111])]) ).
fof(f7027,plain,
( spl98_114
<=> p105(sK83(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_114])]) ).
fof(f7018,plain,
( spl98_112
<=> p405(sK84(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_112])]) ).
fof(f24363,plain,
( ! [X0] :
( p405(sK84(sK91))
| ~ p105(sK83(sK91))
| ~ r1(X0,sK91)
| ~ sP3(X0) )
| ~ spl98_33 ),
inference(resolution,[],[f726,f388]) ).
fof(f388,plain,
! [X0,X1] :
( r1(X1,sK84(X1))
| ~ p105(sK83(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(f24553,plain,
spl98_448,
inference(avatar_contradiction_clause,[],[f24552]) ).
fof(f24552,plain,
( $false
| spl98_448 ),
inference(resolution,[],[f24551,f423]) ).
fof(f24551,plain,
( ~ sP40(sK91)
| spl98_448 ),
inference(resolution,[],[f24544,f239]) ).
fof(f239,plain,
! [X0] :
( sP3(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f24544,plain,
( ~ sP3(sK91)
| spl98_448 ),
inference(avatar_component_clause,[],[f24542]) ).
fof(f24542,plain,
( spl98_448
<=> sP3(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_448])]) ).
fof(f24545,plain,
( ~ spl98_448
| ~ spl98_112
| ~ spl98_114 ),
inference(avatar_split_clause,[],[f24524,f7027,f7018,f24542]) ).
fof(f24524,plain,
( ~ p405(sK84(sK91))
| ~ sP3(sK91)
| ~ spl98_114 ),
inference(resolution,[],[f7028,f3826]) ).
fof(f3826,plain,
! [X0] :
( ~ p105(sK83(X0))
| ~ p405(sK84(X0))
| ~ sP3(X0) ),
inference(resolution,[],[f389,f409]) ).
fof(f389,plain,
! [X0,X1] :
( ~ p105(sK83(X1))
| ~ r1(X0,X1)
| ~ p405(sK84(X1))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f7028,plain,
( p105(sK83(sK91))
| ~ spl98_114 ),
inference(avatar_component_clause,[],[f7027]) ).
fof(f24523,plain,
( spl98_111
| ~ spl98_112
| spl98_114
| ~ spl98_23 ),
inference(avatar_split_clause,[],[f21066,f516,f7027,f7018,f7015]) ).
fof(f516,plain,
( spl98_23
<=> ! [X4] :
( p105(X4)
| ~ r1(sK91,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_23])]) ).
fof(f21066,plain,
( ! [X0] :
( p105(sK83(sK91))
| ~ p405(sK84(sK91))
| ~ r1(X0,sK91)
| ~ sP3(X0) )
| ~ spl98_23 ),
inference(resolution,[],[f517,f387]) ).
fof(f387,plain,
! [X0,X1] :
( r1(X1,sK83(X1))
| ~ p405(sK84(X1))
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f517,plain,
( ! [X4] :
( ~ r1(sK91,X4)
| p105(X4) )
| ~ spl98_23 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f24522,plain,
( spl98_111
| spl98_142
| spl98_112
| ~ spl98_33 ),
inference(avatar_split_clause,[],[f24362,f725,f7018,f7894,f7015]) ).
fof(f7894,plain,
( spl98_142
<=> r1(sK91,sK83(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_142])]) ).
fof(f24362,plain,
( ! [X0] :
( p405(sK84(sK91))
| r1(sK91,sK83(sK91))
| ~ r1(X0,sK91)
| ~ sP3(X0) )
| ~ spl98_33 ),
inference(resolution,[],[f726,f386]) ).
fof(f386,plain,
! [X0,X1] :
( r1(X1,sK84(X1))
| r1(X1,sK83(X1))
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f24302,plain,
spl98_442,
inference(avatar_contradiction_clause,[],[f24301]) ).
fof(f24301,plain,
( $false
| spl98_442 ),
inference(resolution,[],[f24161,f423]) ).
fof(f24161,plain,
( ~ sP40(sK91)
| spl98_442 ),
inference(resolution,[],[f24159,f263]) ).
fof(f263,plain,
! [X0] :
( sP27(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f24159,plain,
( ~ sP27(sK91)
| spl98_442 ),
inference(avatar_component_clause,[],[f24157]) ).
fof(f24157,plain,
( spl98_442
<=> sP27(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_442])]) ).
fof(f24160,plain,
( ~ spl98_442
| ~ spl98_15
| ~ spl98_439 ),
inference(avatar_split_clause,[],[f23727,f23723,f482,f24157]) ).
fof(f482,plain,
( spl98_15
<=> p603(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_15])]) ).
fof(f23723,plain,
( spl98_439
<=> p203(sK53(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_439])]) ).
fof(f23727,plain,
( ~ p603(sK91)
| ~ sP27(sK91)
| ~ spl98_439 ),
inference(resolution,[],[f23725,f688]) ).
fof(f688,plain,
! [X0] :
( ~ p203(sK53(X0))
| ~ p603(X0)
| ~ sP27(X0) ),
inference(resolution,[],[f327,f409]) ).
fof(f327,plain,
! [X0,X1] :
( ~ p203(sK53(X1))
| ~ r1(X0,X1)
| ~ p603(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(f23725,plain,
( p203(sK53(sK91))
| ~ spl98_439 ),
inference(avatar_component_clause,[],[f23723]) ).
fof(f23726,plain,
( spl98_224
| ~ spl98_15
| spl98_439
| ~ spl98_26 ),
inference(avatar_split_clause,[],[f23530,f609,f23723,f482,f12663]) ).
fof(f12663,plain,
( spl98_224
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP27(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_224])]) ).
fof(f23530,plain,
( ! [X0] :
( p203(sK53(sK91))
| ~ p603(sK91)
| ~ r1(X0,sK91)
| ~ sP27(X0) )
| ~ spl98_26 ),
inference(resolution,[],[f610,f326]) ).
fof(f326,plain,
! [X0,X1] :
( r1(X1,sK53(X1))
| ~ p603(X1)
| ~ r1(X0,X1)
| ~ sP27(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f23506,plain,
spl98_437,
inference(avatar_contradiction_clause,[],[f23505]) ).
fof(f23505,plain,
( $false
| spl98_437 ),
inference(resolution,[],[f23365,f423]) ).
fof(f23365,plain,
( ~ sP40(sK91)
| spl98_437 ),
inference(resolution,[],[f23363,f245]) ).
fof(f245,plain,
! [X0] :
( sP18(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f23363,plain,
( ~ sP18(sK91)
| spl98_437 ),
inference(avatar_component_clause,[],[f23361]) ).
fof(f23361,plain,
( spl98_437
<=> sP18(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_437])]) ).
fof(f23364,plain,
( ~ spl98_437
| ~ spl98_14
| ~ spl98_436 ),
inference(avatar_split_clause,[],[f23219,f23215,f478,f23361]) ).
fof(f478,plain,
( spl98_14
<=> p604(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_14])]) ).
fof(f23215,plain,
( spl98_436
<=> p304(sK62(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_436])]) ).
fof(f23219,plain,
( ~ p604(sK91)
| ~ sP18(sK91)
| ~ spl98_436 ),
inference(resolution,[],[f23217,f706]) ).
fof(f706,plain,
! [X0] :
( ~ p304(sK62(X0))
| ~ p604(X0)
| ~ sP18(X0) ),
inference(resolution,[],[f345,f409]) ).
fof(f345,plain,
! [X0,X1] :
( ~ p304(sK62(X1))
| ~ r1(X0,X1)
| ~ p604(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(f23217,plain,
( p304(sK62(sK91))
| ~ spl98_436 ),
inference(avatar_component_clause,[],[f23215]) ).
fof(f23218,plain,
( spl98_251
| ~ spl98_14
| spl98_436
| ~ spl98_12 ),
inference(avatar_split_clause,[],[f22331,f469,f23215,f478,f13016]) ).
fof(f13016,plain,
( spl98_251
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP18(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_251])]) ).
fof(f22331,plain,
( ! [X0] :
( p304(sK62(sK91))
| ~ p604(sK91)
| ~ r1(X0,sK91)
| ~ sP18(X0) )
| ~ spl98_12 ),
inference(resolution,[],[f470,f344]) ).
fof(f344,plain,
! [X0,X1] :
( r1(X1,sK62(X1))
| ~ p604(X1)
| ~ r1(X0,X1)
| ~ sP18(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f23013,plain,
spl98_432,
inference(avatar_contradiction_clause,[],[f23012]) ).
fof(f23012,plain,
( $false
| spl98_432 ),
inference(resolution,[],[f23006,f423]) ).
fof(f23006,plain,
( ~ sP40(sK91)
| spl98_432 ),
inference(resolution,[],[f23004,f265]) ).
fof(f265,plain,
! [X0] :
( sP29(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f23004,plain,
( ~ sP29(sK91)
| spl98_432 ),
inference(avatar_component_clause,[],[f23002]) ).
fof(f23002,plain,
( spl98_432
<=> sP29(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_432])]) ).
fof(f23005,plain,
( ~ spl98_432
| ~ spl98_35
| ~ spl98_425 ),
inference(avatar_split_clause,[],[f22968,f22964,f732,f23002]) ).
fof(f732,plain,
( spl98_35
<=> p403(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_35])]) ).
fof(f22964,plain,
( spl98_425
<=> p203(sK51(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_425])]) ).
fof(f22968,plain,
( ~ p403(sK91)
| ~ sP29(sK91)
| ~ spl98_425 ),
inference(resolution,[],[f22966,f684]) ).
fof(f684,plain,
! [X0] :
( ~ p203(sK51(X0))
| ~ p403(X0)
| ~ sP29(X0) ),
inference(resolution,[],[f323,f409]) ).
fof(f323,plain,
! [X0,X1] :
( ~ p203(sK51(X1))
| ~ r1(X0,X1)
| ~ p403(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(f22966,plain,
( p203(sK51(sK91))
| ~ spl98_425 ),
inference(avatar_component_clause,[],[f22964]) ).
fof(f22967,plain,
( spl98_263
| ~ spl98_35
| spl98_425
| ~ spl98_26 ),
inference(avatar_split_clause,[],[f22387,f609,f22964,f732,f13092]) ).
fof(f13092,plain,
( spl98_263
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP29(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_263])]) ).
fof(f22387,plain,
( ! [X0] :
( p203(sK51(sK91))
| ~ p403(sK91)
| ~ r1(X0,sK91)
| ~ sP29(X0) )
| ~ spl98_26 ),
inference(resolution,[],[f610,f322]) ).
fof(f322,plain,
! [X0,X1] :
( r1(X1,sK51(X1))
| ~ p403(X1)
| ~ r1(X0,X1)
| ~ sP29(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f22302,plain,
( ~ spl98_25
| ~ spl98_21
| ~ spl98_31 ),
inference(avatar_split_clause,[],[f22300,f630,f507,f527]) ).
fof(f22300,plain,
( ~ p502(sK91)
| ~ sP40(sK91)
| ~ spl98_31 ),
inference(resolution,[],[f632,f545]) ).
fof(f545,plain,
! [X0] :
( ~ p302(X0)
| ~ p502(X0)
| ~ sP40(X0) ),
inference(resolution,[],[f276,f409]) ).
fof(f276,plain,
! [X21,X0] :
( ~ r1(X0,X21)
| ~ p502(X21)
| ~ p302(X21)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f632,plain,
( p302(sK91)
| ~ spl98_31 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f22298,plain,
( ~ spl98_25
| ~ spl98_17
| ~ spl98_32 ),
inference(avatar_split_clause,[],[f22295,f634,f490,f527]) ).
fof(f490,plain,
( spl98_17
<=> p601(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_17])]) ).
fof(f634,plain,
( spl98_32
<=> p301(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_32])]) ).
fof(f22295,plain,
( ~ p601(sK91)
| ~ sP40(sK91)
| ~ spl98_32 ),
inference(resolution,[],[f636,f554]) ).
fof(f554,plain,
! [X0] :
( ~ p301(X0)
| ~ p601(X0)
| ~ sP40(X0) ),
inference(resolution,[],[f290,f409]) ).
fof(f290,plain,
! [X0,X12] :
( ~ r1(X0,X12)
| ~ p601(X12)
| ~ p301(X12)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f636,plain,
( p301(sK91)
| ~ spl98_32 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f22291,plain,
( spl98_101
| ~ spl98_104
| spl98_102
| ~ spl98_10 ),
inference(avatar_split_clause,[],[f21426,f461,f6976,f6985,f6973]) ).
fof(f6973,plain,
( spl98_101
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_101])]) ).
fof(f6985,plain,
( spl98_104
<=> p105(sK79(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_104])]) ).
fof(f6976,plain,
( spl98_102
<=> p205(sK80(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_102])]) ).
fof(f21426,plain,
( ! [X0] :
( p205(sK80(sK91))
| ~ p105(sK79(sK91))
| ~ r1(X0,sK91)
| ~ sP5(X0) )
| ~ spl98_10 ),
inference(resolution,[],[f462,f380]) ).
fof(f380,plain,
! [X0,X1] :
( r1(X1,sK80(X1))
| ~ p105(sK79(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(f22172,plain,
spl98_419,
inference(avatar_contradiction_clause,[],[f22171]) ).
fof(f22171,plain,
( $false
| spl98_419 ),
inference(resolution,[],[f22170,f423]) ).
fof(f22170,plain,
( ~ sP40(sK91)
| spl98_419 ),
inference(resolution,[],[f22163,f241]) ).
fof(f241,plain,
! [X0] :
( sP5(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f22163,plain,
( ~ sP5(sK91)
| spl98_419 ),
inference(avatar_component_clause,[],[f22161]) ).
fof(f22161,plain,
( spl98_419
<=> sP5(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_419])]) ).
fof(f22164,plain,
( ~ spl98_419
| ~ spl98_102
| ~ spl98_104 ),
inference(avatar_split_clause,[],[f22153,f6985,f6976,f22161]) ).
fof(f22153,plain,
( ~ p205(sK80(sK91))
| ~ sP5(sK91)
| ~ spl98_104 ),
inference(resolution,[],[f6986,f3762]) ).
fof(f3762,plain,
! [X0] :
( ~ p105(sK79(X0))
| ~ p205(sK80(X0))
| ~ sP5(X0) ),
inference(resolution,[],[f381,f409]) ).
fof(f381,plain,
! [X0,X1] :
( ~ p105(sK79(X1))
| ~ r1(X0,X1)
| ~ p205(sK80(X1))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f6986,plain,
( p105(sK79(sK91))
| ~ spl98_104 ),
inference(avatar_component_clause,[],[f6985]) ).
fof(f22152,plain,
( spl98_101
| ~ spl98_102
| spl98_104
| ~ spl98_23 ),
inference(avatar_split_clause,[],[f21060,f516,f6985,f6976,f6973]) ).
fof(f21060,plain,
( ! [X0] :
( p105(sK79(sK91))
| ~ p205(sK80(sK91))
| ~ r1(X0,sK91)
| ~ sP5(X0) )
| ~ spl98_23 ),
inference(resolution,[],[f517,f379]) ).
fof(f379,plain,
! [X0,X1] :
( r1(X1,sK79(X1))
| ~ p205(sK80(X1))
| ~ r1(X0,X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f22151,plain,
( spl98_101
| spl98_140
| spl98_102
| ~ spl98_10 ),
inference(avatar_split_clause,[],[f21425,f461,f6976,f7704,f6973]) ).
fof(f7704,plain,
( spl98_140
<=> r1(sK91,sK79(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_140])]) ).
fof(f21425,plain,
( ! [X0] :
( p205(sK80(sK91))
| r1(sK91,sK79(sK91))
| ~ r1(X0,sK91)
| ~ sP5(X0) )
| ~ spl98_10 ),
inference(resolution,[],[f462,f378]) ).
fof(f378,plain,
! [X0,X1] :
( r1(X1,sK80(X1))
| r1(X1,sK79(X1))
| ~ r1(X0,X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f21262,plain,
( ~ spl98_25
| ~ spl98_15
| ~ spl98_30 ),
inference(avatar_split_clause,[],[f21261,f626,f482,f527]) ).
fof(f21261,plain,
( ~ p603(sK91)
| ~ sP40(sK91)
| ~ spl98_30 ),
inference(resolution,[],[f628,f538]) ).
fof(f538,plain,
! [X0] :
( ~ p303(X0)
| ~ p603(X0)
| ~ sP40(X0) ),
inference(resolution,[],[f260,f409]) ).
fof(f260,plain,
! [X28,X0] :
( ~ r1(X0,X28)
| ~ p603(X28)
| ~ p303(X28)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f21258,plain,
( ~ spl98_25
| ~ spl98_36
| ~ spl98_31 ),
inference(avatar_split_clause,[],[f21009,f630,f736,f527]) ).
fof(f21009,plain,
( ~ p402(sK91)
| ~ sP40(sK91)
| ~ spl98_31 ),
inference(resolution,[],[f632,f546]) ).
fof(f546,plain,
! [X0] :
( ~ p302(X0)
| ~ p402(X0)
| ~ sP40(X0) ),
inference(resolution,[],[f277,f409]) ).
fof(f277,plain,
! [X0,X20] :
( ~ r1(X0,X20)
| ~ p402(X20)
| ~ p302(X20)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f21255,plain,
spl98_404,
inference(avatar_contradiction_clause,[],[f21254]) ).
fof(f21254,plain,
( $false
| spl98_404 ),
inference(resolution,[],[f21253,f423]) ).
fof(f21253,plain,
( ~ sP40(sK91)
| spl98_404 ),
inference(resolution,[],[f21246,f237]) ).
fof(f237,plain,
! [X0] :
( sP16(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f21246,plain,
( ~ sP16(sK91)
| spl98_404 ),
inference(avatar_component_clause,[],[f21244]) ).
fof(f21244,plain,
( spl98_404
<=> sP16(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_404])]) ).
fof(f21247,plain,
( ~ spl98_404
| ~ spl98_13
| ~ spl98_403 ),
inference(avatar_split_clause,[],[f21241,f21237,f474,f21244]) ).
fof(f21237,plain,
( spl98_403
<=> p105(sK64(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_403])]) ).
fof(f21241,plain,
( ~ p605(sK91)
| ~ sP16(sK91)
| ~ spl98_403 ),
inference(resolution,[],[f21239,f710]) ).
fof(f710,plain,
! [X0] :
( ~ p105(sK64(X0))
| ~ p605(X0)
| ~ sP16(X0) ),
inference(resolution,[],[f349,f409]) ).
fof(f349,plain,
! [X0,X1] :
( ~ p105(sK64(X1))
| ~ r1(X0,X1)
| ~ p605(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(f21239,plain,
( p105(sK64(sK91))
| ~ spl98_403 ),
inference(avatar_component_clause,[],[f21237]) ).
fof(f21240,plain,
( spl98_68
| ~ spl98_13
| spl98_403
| ~ spl98_23 ),
inference(avatar_split_clause,[],[f21041,f516,f21237,f474,f3533]) ).
fof(f3533,plain,
( spl98_68
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP16(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_68])]) ).
fof(f21041,plain,
( ! [X0] :
( p105(sK64(sK91))
| ~ p605(sK91)
| ~ r1(X0,sK91)
| ~ sP16(X0) )
| ~ spl98_23 ),
inference(resolution,[],[f517,f348]) ).
fof(f348,plain,
! [X0,X1] :
( r1(X1,sK64(X1))
| ~ p605(X1)
| ~ r1(X0,X1)
| ~ sP16(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f21008,plain,
( ~ spl98_25
| ~ spl98_22
| ~ spl98_32 ),
inference(avatar_split_clause,[],[f21006,f634,f511,f527]) ).
fof(f511,plain,
( spl98_22
<=> p501(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_22])]) ).
fof(f21006,plain,
( ~ p501(sK91)
| ~ sP40(sK91)
| ~ spl98_32 ),
inference(resolution,[],[f636,f555]) ).
fof(f555,plain,
! [X0] :
( ~ p301(X0)
| ~ p501(X0)
| ~ sP40(X0) ),
inference(resolution,[],[f291,f409]) ).
fof(f291,plain,
! [X0,X11] :
( ~ r1(X0,X11)
| ~ p501(X11)
| ~ p301(X11)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f21003,plain,
( spl98_96
| spl98_136
| spl98_97
| ~ spl98_12 ),
inference(avatar_split_clause,[],[f19604,f469,f6955,f7312,f6952]) ).
fof(f6952,plain,
( spl98_96
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_96])]) ).
fof(f7312,plain,
( spl98_136
<=> r1(sK91,sK77(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_136])]) ).
fof(f6955,plain,
( spl98_97
<=> p304(sK78(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_97])]) ).
fof(f19604,plain,
( ! [X0] :
( p304(sK78(sK91))
| r1(sK91,sK77(sK91))
| ~ r1(X0,sK91)
| ~ sP6(X0) )
| ~ spl98_12 ),
inference(resolution,[],[f470,f374]) ).
fof(f374,plain,
! [X0,X1] :
( r1(X1,sK78(X1))
| r1(X1,sK77(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(f21002,plain,
( ~ spl98_395
| ~ spl98_97
| ~ spl98_99 ),
inference(avatar_split_clause,[],[f21000,f6964,f6955,f20980]) ).
fof(f20980,plain,
( spl98_395
<=> sP6(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_395])]) ).
fof(f6964,plain,
( spl98_99
<=> p204(sK77(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_99])]) ).
fof(f21000,plain,
( ~ p304(sK78(sK91))
| ~ sP6(sK91)
| ~ spl98_99 ),
inference(resolution,[],[f6965,f3730]) ).
fof(f3730,plain,
! [X0] :
( ~ p204(sK77(X0))
| ~ p304(sK78(X0))
| ~ sP6(X0) ),
inference(resolution,[],[f377,f409]) ).
fof(f377,plain,
! [X0,X1] :
( ~ p204(sK77(X1))
| ~ r1(X0,X1)
| ~ p304(sK78(X1))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f6965,plain,
( p204(sK77(sK91))
| ~ spl98_99 ),
inference(avatar_component_clause,[],[f6964]) ).
fof(f20999,plain,
( spl98_96
| ~ spl98_97
| spl98_99
| ~ spl98_8 ),
inference(avatar_split_clause,[],[f20749,f453,f6964,f6955,f6952]) ).
fof(f453,plain,
( spl98_8
<=> ! [X6] :
( p204(X6)
| ~ r1(sK91,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_8])]) ).
fof(f20749,plain,
( ! [X0] :
( p204(sK77(sK91))
| ~ p304(sK78(sK91))
| ~ r1(X0,sK91)
| ~ sP6(X0) )
| ~ spl98_8 ),
inference(resolution,[],[f454,f375]) ).
fof(f375,plain,
! [X0,X1] :
( r1(X1,sK77(X1))
| ~ p304(sK78(X1))
| ~ r1(X0,X1)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f454,plain,
( ! [X6] :
( ~ r1(sK91,X6)
| p204(X6) )
| ~ spl98_8 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f20991,plain,
spl98_395,
inference(avatar_contradiction_clause,[],[f20990]) ).
fof(f20990,plain,
( $false
| spl98_395 ),
inference(resolution,[],[f20989,f423]) ).
fof(f20989,plain,
( ~ sP40(sK91)
| spl98_395 ),
inference(resolution,[],[f20982,f251]) ).
fof(f251,plain,
! [X0] :
( sP6(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f20982,plain,
( ~ sP6(sK91)
| spl98_395 ),
inference(avatar_component_clause,[],[f20980]) ).
fof(f20702,plain,
spl98_391,
inference(avatar_contradiction_clause,[],[f20701]) ).
fof(f20701,plain,
( $false
| spl98_391 ),
inference(resolution,[],[f20695,f423]) ).
fof(f20695,plain,
( ~ sP40(sK91)
| spl98_391 ),
inference(resolution,[],[f20693,f234]) ).
fof(f234,plain,
! [X0] :
( sP15(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f20693,plain,
( ~ sP15(sK91)
| spl98_391 ),
inference(avatar_component_clause,[],[f20691]) ).
fof(f20691,plain,
( spl98_391
<=> sP15(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_391])]) ).
fof(f20694,plain,
( ~ spl98_391
| ~ spl98_18
| ~ spl98_388 ),
inference(avatar_split_clause,[],[f20678,f20674,f495,f20691]) ).
fof(f20674,plain,
( spl98_388
<=> p205(sK65(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_388])]) ).
fof(f20678,plain,
( ~ p505(sK91)
| ~ sP15(sK91)
| ~ spl98_388 ),
inference(resolution,[],[f20676,f712]) ).
fof(f712,plain,
! [X0] :
( ~ p205(sK65(X0))
| ~ p505(X0)
| ~ sP15(X0) ),
inference(resolution,[],[f351,f409]) ).
fof(f351,plain,
! [X0,X1] :
( ~ p205(sK65(X1))
| ~ r1(X0,X1)
| ~ p505(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(f20676,plain,
( p205(sK65(sK91))
| ~ spl98_388 ),
inference(avatar_component_clause,[],[f20674]) ).
fof(f20677,plain,
( spl98_153
| ~ spl98_18
| spl98_388
| ~ spl98_10 ),
inference(avatar_split_clause,[],[f20485,f461,f20674,f495,f8968]) ).
fof(f8968,plain,
( spl98_153
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP15(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_153])]) ).
fof(f20485,plain,
( ! [X0] :
( p205(sK65(sK91))
| ~ p505(sK91)
| ~ r1(X0,sK91)
| ~ sP15(X0) )
| ~ spl98_10 ),
inference(resolution,[],[f462,f350]) ).
fof(f350,plain,
! [X0,X1] :
( r1(X1,sK65(X1))
| ~ p505(X1)
| ~ r1(X0,X1)
| ~ sP15(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f20448,plain,
spl98_384,
inference(avatar_contradiction_clause,[],[f20447]) ).
fof(f20447,plain,
( $false
| spl98_384 ),
inference(resolution,[],[f20446,f423]) ).
fof(f20446,plain,
( ~ sP40(sK91)
| spl98_384 ),
inference(resolution,[],[f20444,f238]) ).
fof(f238,plain,
! [X0] :
( sP17(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f20444,plain,
( ~ sP17(sK91)
| spl98_384 ),
inference(avatar_component_clause,[],[f20442]) ).
fof(f20442,plain,
( spl98_384
<=> sP17(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_384])]) ).
fof(f20445,plain,
( ~ spl98_384
| ~ spl98_18
| ~ spl98_378 ),
inference(avatar_split_clause,[],[f20414,f20410,f495,f20442]) ).
fof(f20410,plain,
( spl98_378
<=> p105(sK63(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_378])]) ).
fof(f20414,plain,
( ~ p505(sK91)
| ~ sP17(sK91)
| ~ spl98_378 ),
inference(resolution,[],[f20412,f708]) ).
fof(f708,plain,
! [X0] :
( ~ p105(sK63(X0))
| ~ p505(X0)
| ~ sP17(X0) ),
inference(resolution,[],[f347,f409]) ).
fof(f347,plain,
! [X0,X1] :
( ~ p105(sK63(X1))
| ~ r1(X0,X1)
| ~ p505(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(f20412,plain,
( p105(sK63(sK91))
| ~ spl98_378 ),
inference(avatar_component_clause,[],[f20410]) ).
fof(f20413,plain,
( spl98_65
| ~ spl98_18
| spl98_378
| ~ spl98_23 ),
inference(avatar_split_clause,[],[f20117,f516,f20410,f495,f3022]) ).
fof(f3022,plain,
( spl98_65
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP17(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_65])]) ).
fof(f20117,plain,
( ! [X0] :
( p105(sK63(sK91))
| ~ p505(sK91)
| ~ r1(X0,sK91)
| ~ sP17(X0) )
| ~ spl98_23 ),
inference(resolution,[],[f517,f346]) ).
fof(f346,plain,
! [X0,X1] :
( r1(X1,sK63(X1))
| ~ p505(X1)
| ~ r1(X0,X1)
| ~ sP17(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f20086,plain,
( spl98_91
| spl98_135
| spl98_92
| ~ spl98_12 ),
inference(avatar_split_clause,[],[f19601,f469,f6934,f7210,f6931]) ).
fof(f6931,plain,
( spl98_91
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP7(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_91])]) ).
fof(f7210,plain,
( spl98_135
<=> r1(sK91,sK75(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_135])]) ).
fof(f6934,plain,
( spl98_92
<=> p304(sK76(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_92])]) ).
fof(f19601,plain,
( ! [X0] :
( p304(sK76(sK91))
| r1(sK91,sK75(sK91))
| ~ r1(X0,sK91)
| ~ sP7(X0) )
| ~ spl98_12 ),
inference(resolution,[],[f470,f370]) ).
fof(f370,plain,
! [X0,X1] :
( r1(X1,sK76(X1))
| r1(X1,sK75(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(f19961,plain,
( ~ spl98_376
| ~ spl98_92
| ~ spl98_94 ),
inference(avatar_split_clause,[],[f19959,f6943,f6934,f19944]) ).
fof(f19944,plain,
( spl98_376
<=> sP7(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_376])]) ).
fof(f6943,plain,
( spl98_94
<=> p104(sK75(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_94])]) ).
fof(f19959,plain,
( ~ p304(sK76(sK91))
| ~ sP7(sK91)
| ~ spl98_94 ),
inference(resolution,[],[f6944,f3698]) ).
fof(f3698,plain,
! [X0] :
( ~ p104(sK75(X0))
| ~ p304(sK76(X0))
| ~ sP7(X0) ),
inference(resolution,[],[f373,f409]) ).
fof(f373,plain,
! [X0,X1] :
( ~ p104(sK75(X1))
| ~ r1(X0,X1)
| ~ p304(sK76(X1))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f6944,plain,
( p104(sK75(sK91))
| ~ spl98_94 ),
inference(avatar_component_clause,[],[f6943]) ).
fof(f19958,plain,
( spl98_91
| ~ spl98_92
| spl98_94
| ~ spl98_4 ),
inference(avatar_split_clause,[],[f17865,f437,f6943,f6934,f6931]) ).
fof(f437,plain,
( spl98_4
<=> ! [X3] :
( p104(X3)
| ~ r1(sK91,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_4])]) ).
fof(f17865,plain,
( ! [X0] :
( p104(sK75(sK91))
| ~ p304(sK76(sK91))
| ~ r1(X0,sK91)
| ~ sP7(X0) )
| ~ spl98_4 ),
inference(resolution,[],[f438,f371]) ).
fof(f371,plain,
! [X0,X1] :
( r1(X1,sK75(X1))
| ~ p304(sK76(X1))
| ~ r1(X0,X1)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f438,plain,
( ! [X3] :
( ~ r1(sK91,X3)
| p104(X3) )
| ~ spl98_4 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f19955,plain,
spl98_376,
inference(avatar_contradiction_clause,[],[f19954]) ).
fof(f19954,plain,
( $false
| spl98_376 ),
inference(resolution,[],[f19953,f423]) ).
fof(f19953,plain,
( ~ sP40(sK91)
| spl98_376 ),
inference(resolution,[],[f19946,f255]) ).
fof(f255,plain,
! [X0] :
( sP7(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f19946,plain,
( ~ sP7(sK91)
| spl98_376 ),
inference(avatar_component_clause,[],[f19944]) ).
fof(f19875,plain,
( spl98_96
| ~ spl98_99
| spl98_97
| ~ spl98_12 ),
inference(avatar_split_clause,[],[f19605,f469,f6955,f6964,f6952]) ).
fof(f19605,plain,
( ! [X0] :
( p304(sK78(sK91))
| ~ p204(sK77(sK91))
| ~ r1(X0,sK91)
| ~ sP6(X0) )
| ~ spl98_12 ),
inference(resolution,[],[f470,f376]) ).
fof(f376,plain,
! [X0,X1] :
( r1(X1,sK78(X1))
| ~ p204(sK77(X1))
| ~ r1(X0,X1)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f19812,plain,
( spl98_91
| ~ spl98_94
| spl98_92
| ~ spl98_12 ),
inference(avatar_split_clause,[],[f19602,f469,f6934,f6943,f6931]) ).
fof(f19602,plain,
( ! [X0] :
( p304(sK76(sK91))
| ~ p104(sK75(sK91))
| ~ r1(X0,sK91)
| ~ sP7(X0) )
| ~ spl98_12 ),
inference(resolution,[],[f470,f372]) ).
fof(f372,plain,
! [X0,X1] :
( r1(X1,sK76(X1))
| ~ p104(sK75(X1))
| ~ r1(X0,X1)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f19552,plain,
( ~ spl98_25
| ~ spl98_35
| ~ spl98_30 ),
inference(avatar_split_clause,[],[f19549,f626,f732,f527]) ).
fof(f19549,plain,
( ~ p403(sK91)
| ~ sP40(sK91)
| ~ spl98_30 ),
inference(resolution,[],[f628,f540]) ).
fof(f540,plain,
! [X0] :
( ~ p303(X0)
| ~ p403(X0)
| ~ sP40(X0) ),
inference(resolution,[],[f262,f409]) ).
fof(f262,plain,
! [X0,X26] :
( ~ r1(X0,X26)
| ~ p403(X26)
| ~ p303(X26)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f19548,plain,
( ~ spl98_25
| ~ spl98_16
| ~ spl98_31 ),
inference(avatar_split_clause,[],[f19547,f630,f486,f527]) ).
fof(f486,plain,
( spl98_16
<=> p602(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_16])]) ).
fof(f19547,plain,
( ~ p602(sK91)
| ~ sP40(sK91)
| ~ spl98_31 ),
inference(resolution,[],[f632,f544]) ).
fof(f544,plain,
! [X0] :
( ~ p302(X0)
| ~ p602(X0)
| ~ sP40(X0) ),
inference(resolution,[],[f275,f409]) ).
fof(f275,plain,
! [X0,X22] :
( ~ r1(X0,X22)
| ~ p602(X22)
| ~ p302(X22)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f19544,plain,
( ~ spl98_25
| ~ spl98_32
| ~ spl98_28 ),
inference(avatar_split_clause,[],[f19504,f616,f634,f527]) ).
fof(f616,plain,
( spl98_28
<=> p201(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_28])]) ).
fof(f19504,plain,
( ~ p301(sK91)
| ~ sP40(sK91)
| ~ spl98_28 ),
inference(resolution,[],[f618,f560]) ).
fof(f560,plain,
! [X0] :
( ~ p201(X0)
| ~ p301(X0)
| ~ sP40(X0) ),
inference(resolution,[],[f296,f409]) ).
fof(f296,plain,
! [X0,X6] :
( ~ r1(X0,X6)
| ~ p301(X6)
| ~ p201(X6)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f618,plain,
( p201(sK91)
| ~ spl98_28 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f19537,plain,
spl98_364,
inference(avatar_contradiction_clause,[],[f19536]) ).
fof(f19536,plain,
( $false
| spl98_364 ),
inference(resolution,[],[f19535,f423]) ).
fof(f19535,plain,
( ~ sP40(sK91)
| spl98_364 ),
inference(resolution,[],[f19528,f254]) ).
fof(f254,plain,
! [X0] :
( sP26(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f19528,plain,
( ~ sP26(sK91)
| spl98_364 ),
inference(avatar_component_clause,[],[f19526]) ).
fof(f19526,plain,
( spl98_364
<=> sP26(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_364])]) ).
fof(f19529,plain,
( ~ spl98_364
| ~ spl98_34
| ~ spl98_363 ),
inference(avatar_split_clause,[],[f19523,f19519,f728,f19526]) ).
fof(f19519,plain,
( spl98_363
<=> p104(sK54(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_363])]) ).
fof(f19523,plain,
( ~ p404(sK91)
| ~ sP26(sK91)
| ~ spl98_363 ),
inference(resolution,[],[f19521,f690]) ).
fof(f690,plain,
! [X0] :
( ~ p104(sK54(X0))
| ~ p404(X0)
| ~ sP26(X0) ),
inference(resolution,[],[f329,f409]) ).
fof(f329,plain,
! [X0,X1] :
( ~ p104(sK54(X1))
| ~ r1(X0,X1)
| ~ p404(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(f19521,plain,
( p104(sK54(sK91))
| ~ spl98_363 ),
inference(avatar_component_clause,[],[f19519]) ).
fof(f19522,plain,
( spl98_57
| ~ spl98_34
| spl98_363
| ~ spl98_4 ),
inference(avatar_split_clause,[],[f17842,f437,f19519,f728,f1990]) ).
fof(f1990,plain,
( spl98_57
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP26(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_57])]) ).
fof(f17842,plain,
( ! [X0] :
( p104(sK54(sK91))
| ~ p404(sK91)
| ~ r1(X0,sK91)
| ~ sP26(X0) )
| ~ spl98_4 ),
inference(resolution,[],[f438,f328]) ).
fof(f328,plain,
! [X0,X1] :
( r1(X1,sK54(X1))
| ~ p404(X1)
| ~ r1(X0,X1)
| ~ sP26(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f19515,plain,
( ~ spl98_25
| ~ spl98_15
| ~ spl98_35 ),
inference(avatar_split_clause,[],[f19509,f732,f482,f527]) ).
fof(f19509,plain,
( ~ p603(sK91)
| ~ sP40(sK91)
| ~ spl98_35 ),
inference(resolution,[],[f734,f536]) ).
fof(f536,plain,
! [X0] :
( ~ p403(X0)
| ~ p603(X0)
| ~ sP40(X0) ),
inference(resolution,[],[f258,f409]) ).
fof(f258,plain,
! [X0,X30] :
( ~ r1(X0,X30)
| ~ p603(X30)
| ~ p403(X30)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f734,plain,
( p403(sK91)
| ~ spl98_35 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f19502,plain,
spl98_360,
inference(avatar_contradiction_clause,[],[f19501]) ).
fof(f19501,plain,
( $false
| spl98_360 ),
inference(resolution,[],[f19500,f423]) ).
fof(f19500,plain,
( ~ sP40(sK91)
| spl98_360 ),
inference(resolution,[],[f19493,f253]) ).
fof(f253,plain,
! [X0] :
( sP25(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f19493,plain,
( ~ sP25(sK91)
| spl98_360 ),
inference(avatar_component_clause,[],[f19491]) ).
fof(f19491,plain,
( spl98_360
<=> sP25(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_360])]) ).
fof(f19494,plain,
( ~ spl98_360
| ~ spl98_19
| ~ spl98_358 ),
inference(avatar_split_clause,[],[f19483,f19479,f499,f19491]) ).
fof(f19479,plain,
( spl98_358
<=> p104(sK55(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_358])]) ).
fof(f19483,plain,
( ~ p504(sK91)
| ~ sP25(sK91)
| ~ spl98_358 ),
inference(resolution,[],[f19481,f692]) ).
fof(f692,plain,
! [X0] :
( ~ p104(sK55(X0))
| ~ p504(X0)
| ~ sP25(X0) ),
inference(resolution,[],[f331,f409]) ).
fof(f331,plain,
! [X0,X1] :
( ~ p104(sK55(X1))
| ~ r1(X0,X1)
| ~ p504(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(f19481,plain,
( p104(sK55(sK91))
| ~ spl98_358 ),
inference(avatar_component_clause,[],[f19479]) ).
fof(f19482,plain,
( spl98_59
| ~ spl98_19
| spl98_358
| ~ spl98_4 ),
inference(avatar_split_clause,[],[f17843,f437,f19479,f499,f2081]) ).
fof(f2081,plain,
( spl98_59
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP25(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_59])]) ).
fof(f17843,plain,
( ! [X0] :
( p104(sK55(sK91))
| ~ p504(sK91)
| ~ r1(X0,sK91)
| ~ sP25(X0) )
| ~ spl98_4 ),
inference(resolution,[],[f438,f330]) ).
fof(f330,plain,
! [X0,X1] :
( r1(X1,sK55(X1))
| ~ p504(X1)
| ~ r1(X0,X1)
| ~ sP25(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f19400,plain,
spl98_355,
inference(avatar_contradiction_clause,[],[f19399]) ).
fof(f19399,plain,
( $false
| spl98_355 ),
inference(resolution,[],[f19255,f423]) ).
fof(f19255,plain,
( ~ sP40(sK91)
| spl98_355 ),
inference(resolution,[],[f19253,f256]) ).
fof(f256,plain,
! [X0] :
( sP8(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f19253,plain,
( ~ sP8(sK91)
| spl98_355 ),
inference(avatar_component_clause,[],[f19251]) ).
fof(f19251,plain,
( spl98_355
<=> sP8(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_355])]) ).
fof(f19254,plain,
( ~ spl98_355
| ~ spl98_87
| ~ spl98_89 ),
inference(avatar_split_clause,[],[f18814,f6922,f6913,f19251]) ).
fof(f6913,plain,
( spl98_87
<=> p204(sK74(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_87])]) ).
fof(f6922,plain,
( spl98_89
<=> p104(sK73(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_89])]) ).
fof(f18814,plain,
( ~ p204(sK74(sK91))
| ~ sP8(sK91)
| ~ spl98_89 ),
inference(resolution,[],[f6923,f3666]) ).
fof(f3666,plain,
! [X0] :
( ~ p104(sK73(X0))
| ~ p204(sK74(X0))
| ~ sP8(X0) ),
inference(resolution,[],[f369,f409]) ).
fof(f369,plain,
! [X0,X1] :
( ~ p104(sK73(X1))
| ~ r1(X0,X1)
| ~ p204(sK74(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(f6923,plain,
( p104(sK73(sK91))
| ~ spl98_89 ),
inference(avatar_component_clause,[],[f6922]) ).
fof(f18813,plain,
( spl98_86
| ~ spl98_87
| spl98_89
| ~ spl98_4 ),
inference(avatar_split_clause,[],[f17862,f437,f6922,f6913,f6910]) ).
fof(f6910,plain,
( spl98_86
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_86])]) ).
fof(f17862,plain,
( ! [X0] :
( p104(sK73(sK91))
| ~ p204(sK74(sK91))
| ~ r1(X0,sK91)
| ~ sP8(X0) )
| ~ spl98_4 ),
inference(resolution,[],[f438,f367]) ).
fof(f367,plain,
! [X0,X1] :
( r1(X1,sK73(X1))
| ~ p204(sK74(X1))
| ~ r1(X0,X1)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f18807,plain,
( spl98_86
| ~ spl98_89
| spl98_87
| ~ spl98_8 ),
inference(avatar_split_clause,[],[f17932,f453,f6913,f6922,f6910]) ).
fof(f17932,plain,
( ! [X0] :
( p204(sK74(sK91))
| ~ p104(sK73(sK91))
| ~ r1(X0,sK91)
| ~ sP8(X0) )
| ~ spl98_8 ),
inference(resolution,[],[f454,f368]) ).
fof(f368,plain,
! [X0,X1] :
( r1(X1,sK74(X1))
| ~ p104(sK73(X1))
| ~ r1(X0,X1)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f18696,plain,
( spl98_86
| spl98_134
| spl98_87
| ~ spl98_8 ),
inference(avatar_split_clause,[],[f17931,f453,f6913,f7115,f6910]) ).
fof(f7115,plain,
( spl98_134
<=> r1(sK91,sK73(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_134])]) ).
fof(f17931,plain,
( ! [X0] :
( p204(sK74(sK91))
| r1(sK91,sK73(sK91))
| ~ r1(X0,sK91)
| ~ sP8(X0) )
| ~ spl98_8 ),
inference(resolution,[],[f454,f366]) ).
fof(f366,plain,
! [X0,X1] :
( r1(X1,sK74(X1))
| r1(X1,sK73(X1))
| ~ r1(X0,X1)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f17820,plain,
( ~ spl98_25
| ~ spl98_15
| ~ spl98_20 ),
inference(avatar_split_clause,[],[f17283,f503,f482,f527]) ).
fof(f17283,plain,
( ~ p603(sK91)
| ~ sP40(sK91)
| ~ spl98_20 ),
inference(resolution,[],[f505,f535]) ).
fof(f535,plain,
! [X0] :
( ~ p503(X0)
| ~ p603(X0)
| ~ sP40(X0) ),
inference(resolution,[],[f257,f409]) ).
fof(f257,plain,
! [X31,X0] :
( ~ r1(X0,X31)
| ~ p603(X31)
| ~ p503(X31)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f505,plain,
( p503(sK91)
| ~ spl98_20 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f17817,plain,
( ~ spl98_25
| ~ spl98_20
| ~ spl98_35 ),
inference(avatar_split_clause,[],[f16081,f732,f503,f527]) ).
fof(f16081,plain,
( ~ p503(sK91)
| ~ sP40(sK91)
| ~ spl98_35 ),
inference(resolution,[],[f734,f537]) ).
fof(f537,plain,
! [X0] :
( ~ p403(X0)
| ~ p503(X0)
| ~ sP40(X0) ),
inference(resolution,[],[f259,f409]) ).
fof(f259,plain,
! [X0,X29] :
( ~ r1(X0,X29)
| ~ p503(X29)
| ~ p403(X29)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f17816,plain,
spl98_341,
inference(avatar_contradiction_clause,[],[f17815]) ).
fof(f17815,plain,
( $false
| spl98_341 ),
inference(resolution,[],[f17675,f423]) ).
fof(f17675,plain,
( ~ sP40(sK91)
| spl98_341 ),
inference(resolution,[],[f17534,f264]) ).
fof(f264,plain,
! [X0] :
( sP28(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f17534,plain,
( ~ sP28(sK91)
| spl98_341 ),
inference(avatar_component_clause,[],[f17532]) ).
fof(f17532,plain,
( spl98_341
<=> sP28(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_341])]) ).
fof(f17535,plain,
( ~ spl98_341
| ~ spl98_20
| ~ spl98_157 ),
inference(avatar_split_clause,[],[f9015,f9005,f503,f17532]) ).
fof(f9005,plain,
( spl98_157
<=> p203(sK52(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_157])]) ).
fof(f9015,plain,
( ~ p503(sK91)
| ~ sP28(sK91)
| ~ spl98_157 ),
inference(resolution,[],[f9007,f686]) ).
fof(f686,plain,
! [X0] :
( ~ p203(sK52(X0))
| ~ p503(X0)
| ~ sP28(X0) ),
inference(resolution,[],[f325,f409]) ).
fof(f325,plain,
! [X0,X1] :
( ~ p203(sK52(X1))
| ~ r1(X0,X1)
| ~ p503(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(f9007,plain,
( p203(sK52(sK91))
| ~ spl98_157 ),
inference(avatar_component_clause,[],[f9005]) ).
fof(f17282,plain,
spl98_338,
inference(avatar_contradiction_clause,[],[f17281]) ).
fof(f17281,plain,
( $false
| spl98_338 ),
inference(resolution,[],[f17275,f423]) ).
fof(f17275,plain,
( ~ sP40(sK91)
| spl98_338 ),
inference(resolution,[],[f17273,f286]) ).
fof(f286,plain,
! [X0] :
( sP39(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f17273,plain,
( ~ sP39(sK91)
| spl98_338 ),
inference(avatar_component_clause,[],[f17271]) ).
fof(f17271,plain,
( spl98_338
<=> sP39(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_338])]) ).
fof(f17274,plain,
( ~ spl98_338
| ~ spl98_27
| ~ spl98_328 ),
inference(avatar_split_clause,[],[f17223,f17219,f612,f17271]) ).
fof(f17219,plain,
( spl98_328
<=> p102(sK41(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_328])]) ).
fof(f17223,plain,
( ~ p202(sK91)
| ~ sP39(sK91)
| ~ spl98_328 ),
inference(resolution,[],[f17221,f640]) ).
fof(f640,plain,
! [X0] :
( ~ p102(sK41(X0))
| ~ p202(X0)
| ~ sP39(X0) ),
inference(resolution,[],[f303,f409]) ).
fof(f303,plain,
! [X0,X1] :
( ~ p102(sK41(X1))
| ~ r1(X0,X1)
| ~ p202(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(f17221,plain,
( p102(sK41(sK91))
| ~ spl98_328 ),
inference(avatar_component_clause,[],[f17219]) ).
fof(f17222,plain,
( spl98_39
| ~ spl98_27
| spl98_328
| ~ spl98_6 ),
inference(avatar_split_clause,[],[f17021,f445,f17219,f612,f922]) ).
fof(f922,plain,
( spl98_39
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP39(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_39])]) ).
fof(f17021,plain,
( ! [X0] :
( p102(sK41(sK91))
| ~ p202(sK91)
| ~ r1(X0,sK91)
| ~ sP39(X0) )
| ~ spl98_6 ),
inference(resolution,[],[f446,f302]) ).
fof(f302,plain,
! [X0,X1] :
( r1(X1,sK41(X1))
| ~ p202(X1)
| ~ r1(X0,X1)
| ~ sP39(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f17012,plain,
spl98_326,
inference(avatar_contradiction_clause,[],[f17011]) ).
fof(f17011,plain,
( $false
| spl98_326 ),
inference(resolution,[],[f17010,f423]) ).
fof(f17010,plain,
( ~ sP40(sK91)
| spl98_326 ),
inference(resolution,[],[f17003,f252]) ).
fof(f252,plain,
! [X0] :
( sP24(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f17003,plain,
( ~ sP24(sK91)
| spl98_326 ),
inference(avatar_component_clause,[],[f17001]) ).
fof(f17001,plain,
( spl98_326
<=> sP24(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_326])]) ).
fof(f17004,plain,
( ~ spl98_326
| ~ spl98_14
| ~ spl98_320 ),
inference(avatar_split_clause,[],[f16973,f16969,f478,f17001]) ).
fof(f16969,plain,
( spl98_320
<=> p104(sK56(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_320])]) ).
fof(f16973,plain,
( ~ p604(sK91)
| ~ sP24(sK91)
| ~ spl98_320 ),
inference(resolution,[],[f16971,f694]) ).
fof(f694,plain,
! [X0] :
( ~ p104(sK56(X0))
| ~ p604(X0)
| ~ sP24(X0) ),
inference(resolution,[],[f333,f409]) ).
fof(f333,plain,
! [X0,X1] :
( ~ p104(sK56(X1))
| ~ r1(X0,X1)
| ~ p604(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(f16971,plain,
( p104(sK56(sK91))
| ~ spl98_320 ),
inference(avatar_component_clause,[],[f16969]) ).
fof(f16972,plain,
( spl98_61
| ~ spl98_14
| spl98_320
| ~ spl98_4 ),
inference(avatar_split_clause,[],[f16762,f437,f16969,f478,f2172]) ).
fof(f2172,plain,
( spl98_61
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP24(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_61])]) ).
fof(f16762,plain,
( ! [X0] :
( p104(sK56(sK91))
| ~ p604(sK91)
| ~ r1(X0,sK91)
| ~ sP24(X0) )
| ~ spl98_4 ),
inference(resolution,[],[f438,f332]) ).
fof(f332,plain,
! [X0,X1] :
( r1(X1,sK56(X1))
| ~ p604(X1)
| ~ r1(X0,X1)
| ~ sP24(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f16952,plain,
~ spl98_91,
inference(avatar_contradiction_clause,[],[f16951]) ).
fof(f16951,plain,
( $false
| ~ spl98_91 ),
inference(resolution,[],[f16950,f423]) ).
fof(f16950,plain,
( ~ sP40(sK91)
| ~ spl98_91 ),
inference(resolution,[],[f16948,f255]) ).
fof(f16948,plain,
( ~ sP7(sK91)
| ~ spl98_91 ),
inference(resolution,[],[f6932,f409]) ).
fof(f6932,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP7(X0) )
| ~ spl98_91 ),
inference(avatar_component_clause,[],[f6931]) ).
fof(f16947,plain,
( ~ spl98_4
| spl98_94
| ~ spl98_135 ),
inference(avatar_contradiction_clause,[],[f16944]) ).
fof(f16944,plain,
( $false
| ~ spl98_4
| spl98_94
| ~ spl98_135 ),
inference(resolution,[],[f16739,f6945]) ).
fof(f6945,plain,
( ~ p104(sK75(sK91))
| spl98_94 ),
inference(avatar_component_clause,[],[f6943]) ).
fof(f16739,plain,
( p104(sK75(sK91))
| ~ spl98_4
| ~ spl98_135 ),
inference(resolution,[],[f438,f7212]) ).
fof(f7212,plain,
( r1(sK91,sK75(sK91))
| ~ spl98_135 ),
inference(avatar_component_clause,[],[f7210]) ).
fof(f16738,plain,
spl98_315,
inference(avatar_contradiction_clause,[],[f16737]) ).
fof(f16737,plain,
( $false
| spl98_315 ),
inference(resolution,[],[f16736,f423]) ).
fof(f16736,plain,
( ~ sP40(sK91)
| spl98_315 ),
inference(resolution,[],[f16729,f240]) ).
fof(f240,plain,
! [X0] :
( sP4(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f16729,plain,
( ~ sP4(sK91)
| spl98_315 ),
inference(avatar_component_clause,[],[f16727]) ).
fof(f16727,plain,
( spl98_315
<=> sP4(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_315])]) ).
fof(f16730,plain,
( ~ spl98_315
| ~ spl98_107
| ~ spl98_109 ),
inference(avatar_split_clause,[],[f16724,f7006,f6997,f16727]) ).
fof(f6997,plain,
( spl98_107
<=> p305(sK82(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_107])]) ).
fof(f7006,plain,
( spl98_109
<=> p105(sK81(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_109])]) ).
fof(f16724,plain,
( ~ p305(sK82(sK91))
| ~ sP4(sK91)
| ~ spl98_109 ),
inference(resolution,[],[f7007,f3794]) ).
fof(f3794,plain,
! [X0] :
( ~ p105(sK81(X0))
| ~ p305(sK82(X0))
| ~ sP4(X0) ),
inference(resolution,[],[f385,f409]) ).
fof(f385,plain,
! [X0,X1] :
( ~ p105(sK81(X1))
| ~ r1(X0,X1)
| ~ p305(sK82(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(f7007,plain,
( p105(sK81(sK91))
| ~ spl98_109 ),
inference(avatar_component_clause,[],[f7006]) ).
fof(f16723,plain,
( spl98_106
| ~ spl98_107
| spl98_109
| ~ spl98_23 ),
inference(avatar_split_clause,[],[f16138,f516,f7006,f6997,f6994]) ).
fof(f6994,plain,
( spl98_106
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_106])]) ).
fof(f16138,plain,
( ! [X0] :
( p105(sK81(sK91))
| ~ p305(sK82(sK91))
| ~ r1(X0,sK91)
| ~ sP4(X0) )
| ~ spl98_23 ),
inference(resolution,[],[f517,f383]) ).
fof(f383,plain,
! [X0,X1] :
( r1(X1,sK81(X1))
| ~ p305(sK82(X1))
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f16655,plain,
( spl98_106
| spl98_141
| spl98_107
| ~ spl98_29 ),
inference(avatar_split_clause,[],[f11370,f623,f6997,f7799,f6994]) ).
fof(f7799,plain,
( spl98_141
<=> r1(sK91,sK81(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_141])]) ).
fof(f623,plain,
( spl98_29
<=> ! [X9] :
( p305(X9)
| ~ r1(sK91,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_29])]) ).
fof(f11370,plain,
( ! [X0] :
( p305(sK82(sK91))
| r1(sK91,sK81(sK91))
| ~ r1(X0,sK91)
| ~ sP4(X0) )
| ~ spl98_29 ),
inference(resolution,[],[f624,f382]) ).
fof(f382,plain,
! [X0,X1] :
( r1(X1,sK82(X1))
| r1(X1,sK81(X1))
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f624,plain,
( ! [X9] :
( ~ r1(sK91,X9)
| p305(X9) )
| ~ spl98_29 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f16448,plain,
~ spl98_106,
inference(avatar_contradiction_clause,[],[f16447]) ).
fof(f16447,plain,
( $false
| ~ spl98_106 ),
inference(resolution,[],[f16441,f423]) ).
fof(f16441,plain,
( ~ sP40(sK91)
| ~ spl98_106 ),
inference(resolution,[],[f16439,f240]) ).
fof(f16439,plain,
( ~ sP4(sK91)
| ~ spl98_106 ),
inference(resolution,[],[f6995,f409]) ).
fof(f6995,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP4(X0) )
| ~ spl98_106 ),
inference(avatar_component_clause,[],[f6994]) ).
fof(f16438,plain,
( spl98_106
| ~ spl98_109
| spl98_107
| ~ spl98_29 ),
inference(avatar_split_clause,[],[f11371,f623,f6997,f7006,f6994]) ).
fof(f11371,plain,
( ! [X0] :
( p305(sK82(sK91))
| ~ p105(sK81(sK91))
| ~ r1(X0,sK91)
| ~ sP4(X0) )
| ~ spl98_29 ),
inference(resolution,[],[f624,f384]) ).
fof(f384,plain,
! [X0,X1] :
( r1(X1,sK82(X1))
| ~ p105(sK81(X1))
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f16365,plain,
~ spl98_61,
inference(avatar_contradiction_clause,[],[f16364]) ).
fof(f16364,plain,
( $false
| ~ spl98_61 ),
inference(resolution,[],[f16358,f423]) ).
fof(f16358,plain,
( ~ sP40(sK91)
| ~ spl98_61 ),
inference(resolution,[],[f16356,f252]) ).
fof(f16356,plain,
( ~ sP24(sK91)
| ~ spl98_61 ),
inference(resolution,[],[f2173,f409]) ).
fof(f2173,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP24(X0) )
| ~ spl98_61 ),
inference(avatar_component_clause,[],[f2172]) ).
fof(f16355,plain,
~ spl98_111,
inference(avatar_contradiction_clause,[],[f16354]) ).
fof(f16354,plain,
( $false
| ~ spl98_111 ),
inference(resolution,[],[f16348,f423]) ).
fof(f16348,plain,
( ~ sP40(sK91)
| ~ spl98_111 ),
inference(resolution,[],[f16346,f239]) ).
fof(f16346,plain,
( ~ sP3(sK91)
| ~ spl98_111 ),
inference(resolution,[],[f7016,f409]) ).
fof(f7016,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP3(X0) )
| ~ spl98_111 ),
inference(avatar_component_clause,[],[f7015]) ).
fof(f16345,plain,
( ~ spl98_23
| spl98_114
| ~ spl98_142 ),
inference(avatar_contradiction_clause,[],[f16342]) ).
fof(f16342,plain,
( $false
| ~ spl98_23
| spl98_114
| ~ spl98_142 ),
inference(resolution,[],[f16088,f7029]) ).
fof(f7029,plain,
( ~ p105(sK83(sK91))
| spl98_114 ),
inference(avatar_component_clause,[],[f7027]) ).
fof(f16088,plain,
( p105(sK83(sK91))
| ~ spl98_23
| ~ spl98_142 ),
inference(resolution,[],[f517,f7896]) ).
fof(f7896,plain,
( r1(sK91,sK83(sK91))
| ~ spl98_142 ),
inference(avatar_component_clause,[],[f7894]) ).
fof(f16341,plain,
( ~ spl98_23
| spl98_109
| ~ spl98_141 ),
inference(avatar_contradiction_clause,[],[f16338]) ).
fof(f16338,plain,
( $false
| ~ spl98_23
| spl98_109
| ~ spl98_141 ),
inference(resolution,[],[f16087,f7008]) ).
fof(f7008,plain,
( ~ p105(sK81(sK91))
| spl98_109 ),
inference(avatar_component_clause,[],[f7006]) ).
fof(f16087,plain,
( p105(sK81(sK91))
| ~ spl98_23
| ~ spl98_141 ),
inference(resolution,[],[f517,f7801]) ).
fof(f7801,plain,
( r1(sK91,sK81(sK91))
| ~ spl98_141 ),
inference(avatar_component_clause,[],[f7799]) ).
fof(f16337,plain,
~ spl98_101,
inference(avatar_contradiction_clause,[],[f16336]) ).
fof(f16336,plain,
( $false
| ~ spl98_101 ),
inference(resolution,[],[f16335,f423]) ).
fof(f16335,plain,
( ~ sP40(sK91)
| ~ spl98_101 ),
inference(resolution,[],[f16333,f241]) ).
fof(f16333,plain,
( ~ sP5(sK91)
| ~ spl98_101 ),
inference(resolution,[],[f6974,f409]) ).
fof(f6974,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP5(X0) )
| ~ spl98_101 ),
inference(avatar_component_clause,[],[f6973]) ).
fof(f16332,plain,
( ~ spl98_23
| spl98_104
| ~ spl98_140 ),
inference(avatar_contradiction_clause,[],[f16329]) ).
fof(f16329,plain,
( $false
| ~ spl98_23
| spl98_104
| ~ spl98_140 ),
inference(resolution,[],[f16086,f6987]) ).
fof(f6987,plain,
( ~ p105(sK79(sK91))
| spl98_104 ),
inference(avatar_component_clause,[],[f6985]) ).
fof(f16086,plain,
( p105(sK79(sK91))
| ~ spl98_23
| ~ spl98_140 ),
inference(resolution,[],[f517,f7706]) ).
fof(f7706,plain,
( r1(sK91,sK79(sK91))
| ~ spl98_140 ),
inference(avatar_component_clause,[],[f7704]) ).
fof(f16328,plain,
~ spl98_263,
inference(avatar_contradiction_clause,[],[f16327]) ).
fof(f16327,plain,
( $false
| ~ spl98_263 ),
inference(resolution,[],[f16326,f423]) ).
fof(f16326,plain,
( ~ sP40(sK91)
| ~ spl98_263 ),
inference(resolution,[],[f16324,f265]) ).
fof(f16324,plain,
( ~ sP29(sK91)
| ~ spl98_263 ),
inference(resolution,[],[f13093,f409]) ).
fof(f13093,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP29(X0) )
| ~ spl98_263 ),
inference(avatar_component_clause,[],[f13092]) ).
fof(f16298,plain,
~ spl98_39,
inference(avatar_contradiction_clause,[],[f16297]) ).
fof(f16297,plain,
( $false
| ~ spl98_39 ),
inference(resolution,[],[f16155,f423]) ).
fof(f16155,plain,
( ~ sP40(sK91)
| ~ spl98_39 ),
inference(resolution,[],[f16153,f286]) ).
fof(f16153,plain,
( ~ sP39(sK91)
| ~ spl98_39 ),
inference(resolution,[],[f923,f409]) ).
fof(f923,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP39(X0) )
| ~ spl98_39 ),
inference(avatar_component_clause,[],[f922]) ).
fof(f16080,plain,
( ~ spl98_25
| ~ spl98_14
| ~ spl98_34 ),
inference(avatar_split_clause,[],[f16079,f728,f478,f527]) ).
fof(f16079,plain,
( ~ p604(sK91)
| ~ sP40(sK91)
| ~ spl98_34 ),
inference(resolution,[],[f730,f531]) ).
fof(f531,plain,
! [X0] :
( ~ p404(X0)
| ~ p604(X0)
| ~ sP40(X0) ),
inference(resolution,[],[f243,f409]) ).
fof(f243,plain,
! [X0,X33] :
( ~ r1(X0,X33)
| ~ p604(X33)
| ~ p404(X33)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f16076,plain,
( ~ spl98_25
| ~ spl98_21
| ~ spl98_27 ),
inference(avatar_split_clause,[],[f16067,f612,f507,f527]) ).
fof(f16067,plain,
( ~ p502(sK91)
| ~ sP40(sK91)
| ~ spl98_27 ),
inference(resolution,[],[f614,f548]) ).
fof(f548,plain,
! [X0] :
( ~ p202(X0)
| ~ p502(X0)
| ~ sP40(X0) ),
inference(resolution,[],[f279,f409]) ).
fof(f279,plain,
! [X0,X18] :
( ~ r1(X0,X18)
| ~ p502(X18)
| ~ p202(X18)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f16063,plain,
( ~ spl98_25
| ~ spl98_22
| ~ spl98_28 ),
inference(avatar_split_clause,[],[f15918,f616,f511,f527]) ).
fof(f15918,plain,
( ~ p501(sK91)
| ~ sP40(sK91)
| ~ spl98_28 ),
inference(resolution,[],[f618,f558]) ).
fof(f558,plain,
! [X0] :
( ~ p201(X0)
| ~ p501(X0)
| ~ sP40(X0) ),
inference(resolution,[],[f294,f409]) ).
fof(f294,plain,
! [X0,X8] :
( ~ r1(X0,X8)
| ~ p501(X8)
| ~ p201(X8)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f16061,plain,
( ~ spl98_25
| ~ spl98_14
| ~ spl98_19 ),
inference(avatar_split_clause,[],[f14655,f499,f478,f527]) ).
fof(f14655,plain,
( ~ p604(sK91)
| ~ sP40(sK91)
| ~ spl98_19 ),
inference(resolution,[],[f501,f524]) ).
fof(f524,plain,
! [X0] :
( ~ p504(X0)
| ~ p604(X0)
| ~ sP40(X0) ),
inference(resolution,[],[f242,f409]) ).
fof(f242,plain,
! [X0,X34] :
( ~ r1(X0,X34)
| ~ p604(X34)
| ~ p504(X34)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f501,plain,
( p504(sK91)
| ~ spl98_19 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f15915,plain,
( ~ spl98_2
| spl98_84
| ~ spl98_133 ),
inference(avatar_contradiction_clause,[],[f15912]) ).
fof(f15912,plain,
( $false
| ~ spl98_2
| spl98_84
| ~ spl98_133 ),
inference(resolution,[],[f11571,f6813]) ).
fof(f6813,plain,
( ~ p103(sK71(sK91))
| spl98_84 ),
inference(avatar_component_clause,[],[f6811]) ).
fof(f6811,plain,
( spl98_84
<=> p103(sK71(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_84])]) ).
fof(f11571,plain,
( p103(sK71(sK91))
| ~ spl98_2
| ~ spl98_133 ),
inference(resolution,[],[f7112,f430]) ).
fof(f430,plain,
( ! [X2] :
( ~ r1(sK91,X2)
| p103(X2) )
| ~ spl98_2 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f429,plain,
( spl98_2
<=> ! [X2] :
( p103(X2)
| ~ r1(sK91,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_2])]) ).
fof(f7112,plain,
( r1(sK91,sK71(sK91))
| ~ spl98_133 ),
inference(avatar_component_clause,[],[f7110]) ).
fof(f7110,plain,
( spl98_133
<=> r1(sK91,sK71(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_133])]) ).
fof(f15697,plain,
spl98_297,
inference(avatar_contradiction_clause,[],[f15696]) ).
fof(f15696,plain,
( $false
| spl98_297 ),
inference(resolution,[],[f15695,f423]) ).
fof(f15695,plain,
( ~ sP40(sK91)
| spl98_297 ),
inference(resolution,[],[f15688,f236]) ).
fof(f236,plain,
! [X0] :
( sP2(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f15688,plain,
( ~ sP2(sK91)
| spl98_297 ),
inference(avatar_component_clause,[],[f15686]) ).
fof(f15686,plain,
( spl98_297
<=> sP2(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_297])]) ).
fof(f15689,plain,
( ~ spl98_297
| ~ spl98_117
| ~ spl98_119 ),
inference(avatar_split_clause,[],[f15229,f7048,f7039,f15686]) ).
fof(f7039,plain,
( spl98_117
<=> p305(sK86(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_117])]) ).
fof(f7048,plain,
( spl98_119
<=> p205(sK85(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_119])]) ).
fof(f15229,plain,
( ~ p305(sK86(sK91))
| ~ sP2(sK91)
| ~ spl98_119 ),
inference(resolution,[],[f7049,f3858]) ).
fof(f3858,plain,
! [X0] :
( ~ p205(sK85(X0))
| ~ p305(sK86(X0))
| ~ sP2(X0) ),
inference(resolution,[],[f393,f409]) ).
fof(f393,plain,
! [X0,X1] :
( ~ p205(sK85(X1))
| ~ r1(X0,X1)
| ~ p305(sK86(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(f7049,plain,
( p205(sK85(sK91))
| ~ spl98_119 ),
inference(avatar_component_clause,[],[f7048]) ).
fof(f15679,plain,
~ spl98_121,
inference(avatar_contradiction_clause,[],[f15678]) ).
fof(f15678,plain,
( $false
| ~ spl98_121 ),
inference(resolution,[],[f15677,f423]) ).
fof(f15677,plain,
( ~ sP40(sK91)
| ~ spl98_121 ),
inference(resolution,[],[f15675,f235]) ).
fof(f15675,plain,
( ~ sP1(sK91)
| ~ spl98_121 ),
inference(resolution,[],[f7058,f409]) ).
fof(f7058,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP1(X0) )
| ~ spl98_121 ),
inference(avatar_component_clause,[],[f7057]) ).
fof(f15674,plain,
( ~ spl98_10
| spl98_124
| ~ spl98_144 ),
inference(avatar_contradiction_clause,[],[f15671]) ).
fof(f15671,plain,
( $false
| ~ spl98_10
| spl98_124
| ~ spl98_144 ),
inference(resolution,[],[f15019,f7071]) ).
fof(f7071,plain,
( ~ p205(sK87(sK91))
| spl98_124 ),
inference(avatar_component_clause,[],[f7069]) ).
fof(f15019,plain,
( p205(sK87(sK91))
| ~ spl98_10
| ~ spl98_144 ),
inference(resolution,[],[f462,f8086]) ).
fof(f8086,plain,
( r1(sK91,sK87(sK91))
| ~ spl98_144 ),
inference(avatar_component_clause,[],[f8084]) ).
fof(f15228,plain,
( spl98_116
| ~ spl98_117
| spl98_119
| ~ spl98_10 ),
inference(avatar_split_clause,[],[f15074,f461,f7048,f7039,f7036]) ).
fof(f7036,plain,
( spl98_116
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_116])]) ).
fof(f15074,plain,
( ! [X0] :
( p205(sK85(sK91))
| ~ p305(sK86(sK91))
| ~ r1(X0,sK91)
| ~ sP2(X0) )
| ~ spl98_10 ),
inference(resolution,[],[f462,f391]) ).
fof(f391,plain,
! [X0,X1] :
( r1(X1,sK85(X1))
| ~ p305(sK86(X1))
| ~ r1(X0,X1)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f15010,plain,
( ~ spl98_25
| ~ spl98_36
| ~ spl98_27 ),
inference(avatar_split_clause,[],[f14909,f612,f736,f527]) ).
fof(f14909,plain,
( ~ p402(sK91)
| ~ sP40(sK91)
| ~ spl98_27 ),
inference(resolution,[],[f614,f549]) ).
fof(f549,plain,
! [X0] :
( ~ p202(X0)
| ~ p402(X0)
| ~ sP40(X0) ),
inference(resolution,[],[f280,f409]) ).
fof(f280,plain,
! [X0,X17] :
( ~ r1(X0,X17)
| ~ p402(X17)
| ~ p202(X17)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f14907,plain,
( spl98_116
| spl98_143
| spl98_117
| ~ spl98_29 ),
inference(avatar_split_clause,[],[f11376,f623,f7039,f7989,f7036]) ).
fof(f7989,plain,
( spl98_143
<=> r1(sK91,sK85(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_143])]) ).
fof(f11376,plain,
( ! [X0] :
( p305(sK86(sK91))
| r1(sK91,sK85(sK91))
| ~ r1(X0,sK91)
| ~ sP2(X0) )
| ~ spl98_29 ),
inference(resolution,[],[f624,f390]) ).
fof(f390,plain,
! [X0,X1] :
( r1(X1,sK86(X1))
| r1(X1,sK85(X1))
| ~ r1(X0,X1)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f14886,plain,
~ spl98_43,
inference(avatar_contradiction_clause,[],[f14885]) ).
fof(f14885,plain,
( $false
| ~ spl98_43 ),
inference(resolution,[],[f14884,f423]) ).
fof(f14884,plain,
( ~ sP40(sK91)
| ~ spl98_43 ),
inference(resolution,[],[f14882,f284]) ).
fof(f14882,plain,
( ~ sP37(sK91)
| ~ spl98_43 ),
inference(resolution,[],[f1022,f409]) ).
fof(f1022,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP37(X0) )
| ~ spl98_43 ),
inference(avatar_component_clause,[],[f1021]) ).
fof(f14662,plain,
( ~ spl98_25
| ~ spl98_17
| ~ spl98_28 ),
inference(avatar_split_clause,[],[f14659,f616,f490,f527]) ).
fof(f14659,plain,
( ~ p601(sK91)
| ~ sP40(sK91)
| ~ spl98_28 ),
inference(resolution,[],[f618,f557]) ).
fof(f557,plain,
! [X0] :
( ~ p201(X0)
| ~ p601(X0)
| ~ sP40(X0) ),
inference(resolution,[],[f293,f409]) ).
fof(f293,plain,
! [X0,X9] :
( ~ r1(X0,X9)
| ~ p601(X9)
| ~ p201(X9)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f14654,plain,
( spl98_129
| ~ spl98_132
| spl98_130
| ~ spl98_33 ),
inference(avatar_split_clause,[],[f13962,f725,f7096,f7105,f7093]) ).
fof(f7093,plain,
( spl98_129
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_129])]) ).
fof(f7105,plain,
( spl98_132
<=> p305(sK89(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_132])]) ).
fof(f7096,plain,
( spl98_130
<=> p405(sK90(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_130])]) ).
fof(f13962,plain,
( ! [X0] :
( p405(sK90(sK91))
| ~ p305(sK89(sK91))
| ~ r1(X0,sK91)
| ~ sP0(X0) )
| ~ spl98_33 ),
inference(resolution,[],[f726,f400]) ).
fof(f400,plain,
! [X0,X1] :
( r1(X1,sK90(X1))
| ~ p305(sK89(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(f14554,plain,
spl98_288,
inference(avatar_contradiction_clause,[],[f14553]) ).
fof(f14553,plain,
( $false
| spl98_288 ),
inference(resolution,[],[f14409,f423]) ).
fof(f14409,plain,
( ~ sP40(sK91)
| spl98_288 ),
inference(resolution,[],[f14264,f232]) ).
fof(f232,plain,
! [X0] :
( sP0(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f14264,plain,
( ~ sP0(sK91)
| spl98_288 ),
inference(avatar_component_clause,[],[f14262]) ).
fof(f14262,plain,
( spl98_288
<=> sP0(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_288])]) ).
fof(f14265,plain,
( ~ spl98_288
| ~ spl98_130
| ~ spl98_132 ),
inference(avatar_split_clause,[],[f13963,f7105,f7096,f14262]) ).
fof(f13963,plain,
( ~ p405(sK90(sK91))
| ~ sP0(sK91)
| ~ spl98_132 ),
inference(resolution,[],[f7106,f3932]) ).
fof(f3932,plain,
! [X0] :
( ~ p305(sK89(X0))
| ~ p405(sK90(X0))
| ~ sP0(X0) ),
inference(resolution,[],[f401,f409]) ).
fof(f401,plain,
! [X0,X1] :
( ~ p305(sK89(X1))
| ~ r1(X0,X1)
| ~ p405(sK90(X1))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f224]) ).
fof(f7106,plain,
( p305(sK89(sK91))
| ~ spl98_132 ),
inference(avatar_component_clause,[],[f7105]) ).
fof(f13890,plain,
( ~ spl98_161
| ~ spl98_192 ),
inference(avatar_contradiction_clause,[],[f13888]) ).
fof(f13888,plain,
( $false
| ~ spl98_161
| ~ spl98_192 ),
inference(resolution,[],[f13886,f10560]) ).
fof(f10560,plain,
( sP13(sK91)
| ~ spl98_192 ),
inference(avatar_component_clause,[],[f10559]) ).
fof(f10559,plain,
( spl98_192
<=> sP13(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_192])]) ).
fof(f13886,plain,
( ~ sP13(sK91)
| ~ spl98_161 ),
inference(resolution,[],[f9037,f409]) ).
fof(f9037,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP13(X0) )
| ~ spl98_161 ),
inference(avatar_component_clause,[],[f9036]) ).
fof(f9036,plain,
( spl98_161
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP13(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_161])]) ).
fof(f13882,plain,
( spl98_129
| ~ spl98_130
| spl98_132
| ~ spl98_29 ),
inference(avatar_split_clause,[],[f11381,f623,f7105,f7096,f7093]) ).
fof(f11381,plain,
( ! [X0] :
( p305(sK89(sK91))
| ~ p405(sK90(sK91))
| ~ r1(X0,sK91)
| ~ sP0(X0) )
| ~ spl98_29 ),
inference(resolution,[],[f624,f399]) ).
fof(f399,plain,
! [X0,X1] :
( r1(X1,sK89(X1))
| ~ p405(sK90(X1))
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f224]) ).
fof(f13876,plain,
( spl98_129
| spl98_145
| spl98_130
| ~ spl98_33 ),
inference(avatar_split_clause,[],[f13710,f725,f7096,f8179,f7093]) ).
fof(f8179,plain,
( spl98_145
<=> r1(sK91,sK89(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_145])]) ).
fof(f13710,plain,
( ! [X0] :
( p405(sK90(sK91))
| r1(sK91,sK89(sK91))
| ~ r1(X0,sK91)
| ~ sP0(X0) )
| ~ spl98_33 ),
inference(resolution,[],[f726,f398]) ).
fof(f398,plain,
! [X0,X1] :
( r1(X1,sK90(X1))
| r1(X1,sK89(X1))
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f224]) ).
fof(f13640,plain,
spl98_280,
inference(avatar_contradiction_clause,[],[f13639]) ).
fof(f13639,plain,
( $false
| spl98_280 ),
inference(resolution,[],[f13637,f423]) ).
fof(f13637,plain,
( ~ sP40(sK91)
| spl98_280 ),
inference(resolution,[],[f13635,f250]) ).
fof(f250,plain,
! [X0] :
( sP23(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f13635,plain,
( ~ sP23(sK91)
| spl98_280 ),
inference(avatar_component_clause,[],[f13633]) ).
fof(f13633,plain,
( spl98_280
<=> sP23(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_280])]) ).
fof(f13636,plain,
( ~ spl98_280
| ~ spl98_34
| ~ spl98_278 ),
inference(avatar_split_clause,[],[f13625,f13621,f728,f13633]) ).
fof(f13621,plain,
( spl98_278
<=> p204(sK57(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_278])]) ).
fof(f13625,plain,
( ~ p404(sK91)
| ~ sP23(sK91)
| ~ spl98_278 ),
inference(resolution,[],[f13623,f696]) ).
fof(f696,plain,
! [X0] :
( ~ p204(sK57(X0))
| ~ p404(X0)
| ~ sP23(X0) ),
inference(resolution,[],[f335,f409]) ).
fof(f335,plain,
! [X0,X1] :
( ~ p204(sK57(X1))
| ~ r1(X0,X1)
| ~ p404(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(f13623,plain,
( p204(sK57(sK91))
| ~ spl98_278 ),
inference(avatar_component_clause,[],[f13621]) ).
fof(f13624,plain,
( spl98_268
| ~ spl98_34
| spl98_278
| ~ spl98_8 ),
inference(avatar_split_clause,[],[f12340,f453,f13621,f728,f13132]) ).
fof(f13132,plain,
( spl98_268
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP23(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_268])]) ).
fof(f12340,plain,
( ! [X0] :
( p204(sK57(sK91))
| ~ p404(sK91)
| ~ r1(X0,sK91)
| ~ sP23(X0) )
| ~ spl98_8 ),
inference(resolution,[],[f454,f334]) ).
fof(f334,plain,
! [X0,X1] :
( r1(X1,sK57(X1))
| ~ p404(X1)
| ~ r1(X0,X1)
| ~ sP23(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f13227,plain,
~ spl98_268,
inference(avatar_contradiction_clause,[],[f13226]) ).
fof(f13226,plain,
( $false
| ~ spl98_268 ),
inference(resolution,[],[f13220,f423]) ).
fof(f13220,plain,
( ~ sP40(sK91)
| ~ spl98_268 ),
inference(resolution,[],[f13218,f250]) ).
fof(f13218,plain,
( ~ sP23(sK91)
| ~ spl98_268 ),
inference(resolution,[],[f13133,f409]) ).
fof(f13133,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP23(X0) )
| ~ spl98_268 ),
inference(avatar_component_clause,[],[f13132]) ).
fof(f13137,plain,
~ spl98_57,
inference(avatar_contradiction_clause,[],[f13136]) ).
fof(f13136,plain,
( $false
| ~ spl98_57 ),
inference(resolution,[],[f13135,f423]) ).
fof(f13135,plain,
( ~ sP40(sK91)
| ~ spl98_57 ),
inference(resolution,[],[f13125,f254]) ).
fof(f13125,plain,
( ~ sP26(sK91)
| ~ spl98_57 ),
inference(resolution,[],[f1991,f409]) ).
fof(f1991,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP26(X0) )
| ~ spl98_57 ),
inference(avatar_component_clause,[],[f1990]) ).
fof(f13122,plain,
( ~ spl98_25
| ~ spl98_21
| ~ spl98_36 ),
inference(avatar_split_clause,[],[f13120,f736,f507,f527]) ).
fof(f13120,plain,
( ~ p502(sK91)
| ~ sP40(sK91)
| ~ spl98_36 ),
inference(resolution,[],[f738,f543]) ).
fof(f543,plain,
! [X0] :
( ~ p402(X0)
| ~ p502(X0)
| ~ sP40(X0) ),
inference(resolution,[],[f274,f409]) ).
fof(f274,plain,
! [X0,X23] :
( ~ r1(X0,X23)
| ~ p502(X23)
| ~ p402(X23)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f738,plain,
( p402(sK91)
| ~ spl98_36 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f13119,plain,
( ~ spl98_51
| ~ spl98_265 ),
inference(avatar_contradiction_clause,[],[f13117]) ).
fof(f13117,plain,
( $false
| ~ spl98_51
| ~ spl98_265 ),
inference(resolution,[],[f13115,f13104]) ).
fof(f13104,plain,
( sP33(sK91)
| ~ spl98_265 ),
inference(avatar_component_clause,[],[f13103]) ).
fof(f13103,plain,
( spl98_265
<=> sP33(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_265])]) ).
fof(f13115,plain,
( ~ sP33(sK91)
| ~ spl98_51 ),
inference(resolution,[],[f1386,f409]) ).
fof(f1386,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP33(X0) )
| ~ spl98_51 ),
inference(avatar_component_clause,[],[f1385]) ).
fof(f1385,plain,
( spl98_51
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP33(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_51])]) ).
fof(f13114,plain,
spl98_265,
inference(avatar_contradiction_clause,[],[f13113]) ).
fof(f13113,plain,
( $false
| spl98_265 ),
inference(resolution,[],[f13112,f423]) ).
fof(f13112,plain,
( ~ sP40(sK91)
| spl98_265 ),
inference(resolution,[],[f13105,f269]) ).
fof(f269,plain,
! [X0] :
( sP33(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f13105,plain,
( ~ sP33(sK91)
| spl98_265 ),
inference(avatar_component_clause,[],[f13103]) ).
fof(f13106,plain,
( ~ spl98_265
| ~ spl98_35
| ~ spl98_264 ),
inference(avatar_split_clause,[],[f13100,f13096,f732,f13103]) ).
fof(f13096,plain,
( spl98_264
<=> p103(sK47(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_264])]) ).
fof(f13100,plain,
( ~ p403(sK91)
| ~ sP33(sK91)
| ~ spl98_264 ),
inference(resolution,[],[f13098,f667]) ).
fof(f667,plain,
! [X0] :
( ~ p103(sK47(X0))
| ~ p403(X0)
| ~ sP33(X0) ),
inference(resolution,[],[f315,f409]) ).
fof(f315,plain,
! [X0,X1] :
( ~ p103(sK47(X1))
| ~ r1(X0,X1)
| ~ p403(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(f13098,plain,
( p103(sK47(sK91))
| ~ spl98_264 ),
inference(avatar_component_clause,[],[f13096]) ).
fof(f13099,plain,
( spl98_51
| ~ spl98_35
| spl98_264
| ~ spl98_2 ),
inference(avatar_split_clause,[],[f8318,f429,f13096,f732,f1385]) ).
fof(f8318,plain,
( ! [X0] :
( p103(sK47(sK91))
| ~ p403(sK91)
| ~ r1(X0,sK91)
| ~ sP33(X0) )
| ~ spl98_2 ),
inference(resolution,[],[f430,f314]) ).
fof(f314,plain,
! [X0,X1] :
( r1(X1,sK47(X1))
| ~ p403(X1)
| ~ r1(X0,X1)
| ~ sP33(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f13084,plain,
( ~ spl98_25
| ~ spl98_17
| ~ spl98_37 ),
inference(avatar_split_clause,[],[f3967,f740,f490,f527]) ).
fof(f740,plain,
( spl98_37
<=> p401(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_37])]) ).
fof(f3967,plain,
( ~ p601(sK91)
| ~ sP40(sK91)
| ~ spl98_37 ),
inference(resolution,[],[f742,f552]) ).
fof(f552,plain,
! [X0] :
( ~ p401(X0)
| ~ p601(X0)
| ~ sP40(X0) ),
inference(resolution,[],[f288,f409]) ).
fof(f288,plain,
! [X0,X14] :
( ~ r1(X0,X14)
| ~ p601(X14)
| ~ p401(X14)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f742,plain,
( p401(sK91)
| ~ spl98_37 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f13083,plain,
( ~ spl98_249
| ~ spl98_261 ),
inference(avatar_contradiction_clause,[],[f13081]) ).
fof(f13081,plain,
( $false
| ~ spl98_249
| ~ spl98_261 ),
inference(resolution,[],[f13079,f13073]) ).
fof(f13073,plain,
( sP21(sK91)
| ~ spl98_261 ),
inference(avatar_component_clause,[],[f13072]) ).
fof(f13072,plain,
( spl98_261
<=> sP21(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_261])]) ).
fof(f13079,plain,
( ~ sP21(sK91)
| ~ spl98_249 ),
inference(resolution,[],[f13009,f409]) ).
fof(f13009,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP21(X0) )
| ~ spl98_249 ),
inference(avatar_component_clause,[],[f13008]) ).
fof(f13008,plain,
( spl98_249
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP21(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_249])]) ).
fof(f13078,plain,
spl98_261,
inference(avatar_contradiction_clause,[],[f13077]) ).
fof(f13077,plain,
( $false
| spl98_261 ),
inference(resolution,[],[f13076,f423]) ).
fof(f13076,plain,
( ~ sP40(sK91)
| spl98_261 ),
inference(resolution,[],[f13074,f248]) ).
fof(f248,plain,
! [X0] :
( sP21(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f13074,plain,
( ~ sP21(sK91)
| spl98_261 ),
inference(avatar_component_clause,[],[f13072]) ).
fof(f13075,plain,
( ~ spl98_261
| ~ spl98_14
| ~ spl98_259 ),
inference(avatar_split_clause,[],[f13064,f13060,f478,f13072]) ).
fof(f13060,plain,
( spl98_259
<=> p204(sK59(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_259])]) ).
fof(f13064,plain,
( ~ p604(sK91)
| ~ sP21(sK91)
| ~ spl98_259 ),
inference(resolution,[],[f13062,f700]) ).
fof(f700,plain,
! [X0] :
( ~ p204(sK59(X0))
| ~ p604(X0)
| ~ sP21(X0) ),
inference(resolution,[],[f339,f409]) ).
fof(f339,plain,
! [X0,X1] :
( ~ p204(sK59(X1))
| ~ r1(X0,X1)
| ~ p604(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(f13062,plain,
( p204(sK59(sK91))
| ~ spl98_259 ),
inference(avatar_component_clause,[],[f13060]) ).
fof(f13063,plain,
( spl98_249
| ~ spl98_14
| spl98_259
| ~ spl98_8 ),
inference(avatar_split_clause,[],[f12342,f453,f13060,f478,f13008]) ).
fof(f12342,plain,
( ! [X0] :
( p204(sK59(sK91))
| ~ p604(sK91)
| ~ r1(X0,sK91)
| ~ sP21(X0) )
| ~ spl98_8 ),
inference(resolution,[],[f454,f338]) ).
fof(f338,plain,
! [X0,X1] :
( r1(X1,sK59(X1))
| ~ p604(X1)
| ~ r1(X0,X1)
| ~ sP21(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f13028,plain,
~ spl98_251,
inference(avatar_contradiction_clause,[],[f13027]) ).
fof(f13027,plain,
( $false
| ~ spl98_251 ),
inference(resolution,[],[f13021,f423]) ).
fof(f13021,plain,
( ~ sP40(sK91)
| ~ spl98_251 ),
inference(resolution,[],[f13019,f245]) ).
fof(f13019,plain,
( ~ sP18(sK91)
| ~ spl98_251 ),
inference(resolution,[],[f13017,f409]) ).
fof(f13017,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP18(X0) )
| ~ spl98_251 ),
inference(avatar_component_clause,[],[f13016]) ).
fof(f13002,plain,
spl98_246,
inference(avatar_contradiction_clause,[],[f13001]) ).
fof(f13001,plain,
( $false
| spl98_246 ),
inference(resolution,[],[f13000,f423]) ).
fof(f13000,plain,
( ~ sP40(sK91)
| spl98_246 ),
inference(resolution,[],[f12993,f230]) ).
fof(f230,plain,
! [X0] :
( sP12(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f12993,plain,
( ~ sP12(sK91)
| spl98_246 ),
inference(avatar_component_clause,[],[f12991]) ).
fof(f12991,plain,
( spl98_246
<=> sP12(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_246])]) ).
fof(f12994,plain,
( ~ spl98_246
| ~ spl98_13
| ~ spl98_245 ),
inference(avatar_split_clause,[],[f12988,f12984,f474,f12991]) ).
fof(f12984,plain,
( spl98_245
<=> p305(sK68(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_245])]) ).
fof(f12988,plain,
( ~ p605(sK91)
| ~ sP12(sK91)
| ~ spl98_245 ),
inference(resolution,[],[f12986,f718]) ).
fof(f718,plain,
! [X0] :
( ~ p305(sK68(X0))
| ~ p605(X0)
| ~ sP12(X0) ),
inference(resolution,[],[f357,f409]) ).
fof(f357,plain,
! [X0,X1] :
( ~ p305(sK68(X1))
| ~ r1(X0,X1)
| ~ p605(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(f12986,plain,
( p305(sK68(sK91))
| ~ spl98_245 ),
inference(avatar_component_clause,[],[f12984]) ).
fof(f12987,plain,
( spl98_236
| ~ spl98_13
| spl98_245
| ~ spl98_29 ),
inference(avatar_split_clause,[],[f11351,f623,f12984,f474,f12862]) ).
fof(f12862,plain,
( spl98_236
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_236])]) ).
fof(f11351,plain,
( ! [X0] :
( p305(sK68(sK91))
| ~ p605(sK91)
| ~ r1(X0,sK91)
| ~ sP12(X0) )
| ~ spl98_29 ),
inference(resolution,[],[f624,f356]) ).
fof(f356,plain,
! [X0,X1] :
( r1(X1,sK68(X1))
| ~ p605(X1)
| ~ r1(X0,X1)
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f12915,plain,
~ spl98_238,
inference(avatar_contradiction_clause,[],[f12914]) ).
fof(f12914,plain,
( $false
| ~ spl98_238 ),
inference(resolution,[],[f12908,f423]) ).
fof(f12908,plain,
( ~ sP40(sK91)
| ~ spl98_238 ),
inference(resolution,[],[f12906,f228]) ).
fof(f12906,plain,
( ~ sP10(sK91)
| ~ spl98_238 ),
inference(resolution,[],[f12874,f409]) ).
fof(f12874,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP10(X0) )
| ~ spl98_238 ),
inference(avatar_component_clause,[],[f12873]) ).
fof(f12905,plain,
~ spl98_236,
inference(avatar_contradiction_clause,[],[f12904]) ).
fof(f12904,plain,
( $false
| ~ spl98_236 ),
inference(resolution,[],[f12898,f423]) ).
fof(f12898,plain,
( ~ sP40(sK91)
| ~ spl98_236 ),
inference(resolution,[],[f12896,f230]) ).
fof(f12896,plain,
( ~ sP12(sK91)
| ~ spl98_236 ),
inference(resolution,[],[f12863,f409]) ).
fof(f12863,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP12(X0) )
| ~ spl98_236 ),
inference(avatar_component_clause,[],[f12862]) ).
fof(f12890,plain,
~ spl98_68,
inference(avatar_contradiction_clause,[],[f12889]) ).
fof(f12889,plain,
( $false
| ~ spl98_68 ),
inference(resolution,[],[f12888,f423]) ).
fof(f12888,plain,
( ~ sP40(sK91)
| ~ spl98_68 ),
inference(resolution,[],[f12881,f237]) ).
fof(f12881,plain,
( ~ sP16(sK91)
| ~ spl98_68 ),
inference(resolution,[],[f3534,f409]) ).
fof(f3534,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP16(X0) )
| ~ spl98_68 ),
inference(avatar_component_clause,[],[f3533]) ).
fof(f12867,plain,
~ spl98_234,
inference(avatar_contradiction_clause,[],[f12866]) ).
fof(f12866,plain,
( $false
| ~ spl98_234 ),
inference(resolution,[],[f12865,f423]) ).
fof(f12865,plain,
( ~ sP40(sK91)
| ~ spl98_234 ),
inference(resolution,[],[f12855,f233]) ).
fof(f12855,plain,
( ~ sP14(sK91)
| ~ spl98_234 ),
inference(resolution,[],[f12853,f409]) ).
fof(f12853,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP14(X0) )
| ~ spl98_234 ),
inference(avatar_component_clause,[],[f12852]) ).
fof(f12722,plain,
( ~ spl98_55
| ~ spl98_231 ),
inference(avatar_contradiction_clause,[],[f12720]) ).
fof(f12720,plain,
( $false
| ~ spl98_55
| ~ spl98_231 ),
inference(resolution,[],[f12718,f12707]) ).
fof(f12707,plain,
( sP31(sK91)
| ~ spl98_231 ),
inference(avatar_component_clause,[],[f12706]) ).
fof(f12706,plain,
( spl98_231
<=> sP31(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_231])]) ).
fof(f12718,plain,
( ~ sP31(sK91)
| ~ spl98_55 ),
inference(resolution,[],[f1568,f409]) ).
fof(f1568,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP31(X0) )
| ~ spl98_55 ),
inference(avatar_component_clause,[],[f1567]) ).
fof(f1567,plain,
( spl98_55
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP31(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_55])]) ).
fof(f12717,plain,
spl98_231,
inference(avatar_contradiction_clause,[],[f12716]) ).
fof(f12716,plain,
( $false
| spl98_231 ),
inference(resolution,[],[f12715,f423]) ).
fof(f12715,plain,
( ~ sP40(sK91)
| spl98_231 ),
inference(resolution,[],[f12708,f267]) ).
fof(f267,plain,
! [X0] :
( sP31(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f12708,plain,
( ~ sP31(sK91)
| spl98_231 ),
inference(avatar_component_clause,[],[f12706]) ).
fof(f12709,plain,
( ~ spl98_231
| ~ spl98_15
| ~ spl98_226 ),
inference(avatar_split_clause,[],[f12676,f12672,f482,f12706]) ).
fof(f12672,plain,
( spl98_226
<=> p103(sK49(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_226])]) ).
fof(f12676,plain,
( ~ p603(sK91)
| ~ sP31(sK91)
| ~ spl98_226 ),
inference(resolution,[],[f12674,f680]) ).
fof(f680,plain,
! [X0] :
( ~ p103(sK49(X0))
| ~ p603(X0)
| ~ sP31(X0) ),
inference(resolution,[],[f319,f409]) ).
fof(f319,plain,
! [X0,X1] :
( ~ p103(sK49(X1))
| ~ r1(X0,X1)
| ~ p603(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(f12674,plain,
( p103(sK49(sK91))
| ~ spl98_226 ),
inference(avatar_component_clause,[],[f12672]) ).
fof(f12704,plain,
~ spl98_224,
inference(avatar_contradiction_clause,[],[f12703]) ).
fof(f12703,plain,
( $false
| ~ spl98_224 ),
inference(resolution,[],[f12702,f423]) ).
fof(f12702,plain,
( ~ sP40(sK91)
| ~ spl98_224 ),
inference(resolution,[],[f12700,f263]) ).
fof(f12700,plain,
( ~ sP27(sK91)
| ~ spl98_224 ),
inference(resolution,[],[f12664,f409]) ).
fof(f12664,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP27(X0) )
| ~ spl98_224 ),
inference(avatar_component_clause,[],[f12663]) ).
fof(f12675,plain,
( spl98_55
| ~ spl98_15
| spl98_226
| ~ spl98_2 ),
inference(avatar_split_clause,[],[f8320,f429,f12672,f482,f1567]) ).
fof(f8320,plain,
( ! [X0] :
( p103(sK49(sK91))
| ~ p603(sK91)
| ~ r1(X0,sK91)
| ~ sP31(X0) )
| ~ spl98_2 ),
inference(resolution,[],[f430,f318]) ).
fof(f318,plain,
! [X0,X1] :
( r1(X1,sK49(X1))
| ~ p603(X1)
| ~ r1(X0,X1)
| ~ sP31(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f12567,plain,
~ spl98_96,
inference(avatar_contradiction_clause,[],[f12566]) ).
fof(f12566,plain,
( $false
| ~ spl98_96 ),
inference(resolution,[],[f12562,f423]) ).
fof(f12562,plain,
( ~ sP40(sK91)
| ~ spl98_96 ),
inference(resolution,[],[f12560,f251]) ).
fof(f12560,plain,
( ~ sP6(sK91)
| ~ spl98_96 ),
inference(resolution,[],[f6953,f409]) ).
fof(f6953,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP6(X0) )
| ~ spl98_96 ),
inference(avatar_component_clause,[],[f6952]) ).
fof(f12564,plain,
spl98_221,
inference(avatar_contradiction_clause,[],[f12563]) ).
fof(f12563,plain,
( $false
| spl98_221 ),
inference(resolution,[],[f12559,f423]) ).
fof(f12559,plain,
( ~ sP40(sK91)
| spl98_221 ),
inference(resolution,[],[f12552,f249]) ).
fof(f249,plain,
! [X0] :
( sP22(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f12552,plain,
( ~ sP22(sK91)
| spl98_221 ),
inference(avatar_component_clause,[],[f12550]) ).
fof(f12550,plain,
( spl98_221
<=> sP22(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_221])]) ).
fof(f12553,plain,
( ~ spl98_221
| ~ spl98_19
| ~ spl98_218 ),
inference(avatar_split_clause,[],[f12530,f12526,f499,f12550]) ).
fof(f12526,plain,
( spl98_218
<=> p204(sK58(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_218])]) ).
fof(f12530,plain,
( ~ p504(sK91)
| ~ sP22(sK91)
| ~ spl98_218 ),
inference(resolution,[],[f12528,f698]) ).
fof(f698,plain,
! [X0] :
( ~ p204(sK58(X0))
| ~ p504(X0)
| ~ sP22(X0) ),
inference(resolution,[],[f337,f409]) ).
fof(f337,plain,
! [X0,X1] :
( ~ p204(sK58(X1))
| ~ r1(X0,X1)
| ~ p504(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(f12528,plain,
( p204(sK58(sK91))
| ~ spl98_218 ),
inference(avatar_component_clause,[],[f12526]) ).
fof(f12547,plain,
( spl98_116
| ~ spl98_119
| spl98_117
| ~ spl98_29 ),
inference(avatar_split_clause,[],[f11377,f623,f7039,f7048,f7036]) ).
fof(f11377,plain,
( ! [X0] :
( p305(sK86(sK91))
| ~ p205(sK85(sK91))
| ~ r1(X0,sK91)
| ~ sP2(X0) )
| ~ spl98_29 ),
inference(resolution,[],[f624,f392]) ).
fof(f392,plain,
! [X0,X1] :
( r1(X1,sK86(X1))
| ~ p205(sK85(X1))
| ~ r1(X0,X1)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f12546,plain,
~ spl98_116,
inference(avatar_contradiction_clause,[],[f12545]) ).
fof(f12545,plain,
( $false
| ~ spl98_116 ),
inference(resolution,[],[f12544,f423]) ).
fof(f12544,plain,
( ~ sP40(sK91)
| ~ spl98_116 ),
inference(resolution,[],[f12542,f236]) ).
fof(f12542,plain,
( ~ sP2(sK91)
| ~ spl98_116 ),
inference(resolution,[],[f7037,f409]) ).
fof(f7037,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP2(X0) )
| ~ spl98_116 ),
inference(avatar_component_clause,[],[f7036]) ).
fof(f12529,plain,
( spl98_172
| ~ spl98_19
| spl98_218
| ~ spl98_8 ),
inference(avatar_split_clause,[],[f12341,f453,f12526,f499,f9545]) ).
fof(f9545,plain,
( spl98_172
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP22(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_172])]) ).
fof(f12341,plain,
( ! [X0] :
( p204(sK58(sK91))
| ~ p504(sK91)
| ~ r1(X0,sK91)
| ~ sP22(X0) )
| ~ spl98_8 ),
inference(resolution,[],[f454,f336]) ).
fof(f336,plain,
! [X0,X1] :
( r1(X1,sK58(X1))
| ~ p504(X1)
| ~ r1(X0,X1)
| ~ sP22(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f11660,plain,
( spl98_81
| ~ spl98_84
| spl98_82
| ~ spl98_26 ),
inference(avatar_split_clause,[],[f10610,f609,f6712,f6811,f6709]) ).
fof(f6709,plain,
( spl98_81
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP9(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_81])]) ).
fof(f6712,plain,
( spl98_82
<=> p203(sK72(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_82])]) ).
fof(f10610,plain,
( ! [X0] :
( p203(sK72(sK91))
| ~ p103(sK71(sK91))
| ~ r1(X0,sK91)
| ~ sP9(X0) )
| ~ spl98_26 ),
inference(resolution,[],[f610,f364]) ).
fof(f364,plain,
! [X0,X1] :
( r1(X1,sK72(X1))
| ~ p103(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(f11569,plain,
spl98_212,
inference(avatar_contradiction_clause,[],[f11568]) ).
fof(f11568,plain,
( $false
| spl98_212 ),
inference(resolution,[],[f11567,f423]) ).
fof(f11567,plain,
( ~ sP40(sK91)
| spl98_212 ),
inference(resolution,[],[f11560,f271]) ).
fof(f271,plain,
! [X0] :
( sP9(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f11560,plain,
( ~ sP9(sK91)
| spl98_212 ),
inference(avatar_component_clause,[],[f11558]) ).
fof(f11558,plain,
( spl98_212
<=> sP9(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_212])]) ).
fof(f11561,plain,
( ~ spl98_212
| ~ spl98_82
| ~ spl98_84 ),
inference(avatar_split_clause,[],[f11550,f6811,f6712,f11558]) ).
fof(f11550,plain,
( ~ p203(sK72(sK91))
| ~ sP9(sK91)
| ~ spl98_84 ),
inference(resolution,[],[f6812,f3569]) ).
fof(f3569,plain,
! [X0] :
( ~ p103(sK71(X0))
| ~ p203(sK72(X0))
| ~ sP9(X0) ),
inference(resolution,[],[f365,f409]) ).
fof(f365,plain,
! [X0,X1] :
( ~ p103(sK71(X1))
| ~ r1(X0,X1)
| ~ p203(sK72(X1))
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f6812,plain,
( p103(sK71(sK91))
| ~ spl98_84 ),
inference(avatar_component_clause,[],[f6811]) ).
fof(f11549,plain,
~ spl98_81,
inference(avatar_contradiction_clause,[],[f11548]) ).
fof(f11548,plain,
( $false
| ~ spl98_81 ),
inference(resolution,[],[f11547,f423]) ).
fof(f11547,plain,
( ~ sP40(sK91)
| ~ spl98_81 ),
inference(resolution,[],[f11545,f271]) ).
fof(f11545,plain,
( ~ sP9(sK91)
| ~ spl98_81 ),
inference(resolution,[],[f6710,f409]) ).
fof(f6710,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP9(X0) )
| ~ spl98_81 ),
inference(avatar_component_clause,[],[f6709]) ).
fof(f11544,plain,
( spl98_81
| ~ spl98_82
| spl98_84
| ~ spl98_2 ),
inference(avatar_split_clause,[],[f8342,f429,f6811,f6712,f6709]) ).
fof(f8342,plain,
( ! [X0] :
( p103(sK71(sK91))
| ~ p203(sK72(sK91))
| ~ r1(X0,sK91)
| ~ sP9(X0) )
| ~ spl98_2 ),
inference(resolution,[],[f430,f363]) ).
fof(f363,plain,
! [X0,X1] :
( r1(X1,sK71(X1))
| ~ p203(sK72(X1))
| ~ r1(X0,X1)
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f11543,plain,
( spl98_81
| spl98_133
| spl98_82
| ~ spl98_26 ),
inference(avatar_split_clause,[],[f10609,f609,f6712,f7110,f6709]) ).
fof(f10609,plain,
( ! [X0] :
( p203(sK72(sK91))
| r1(sK91,sK71(sK91))
| ~ r1(X0,sK91)
| ~ sP9(X0) )
| ~ spl98_26 ),
inference(resolution,[],[f610,f362]) ).
fof(f362,plain,
! [X0,X1] :
( r1(X1,sK72(X1))
| r1(X1,sK71(X1))
| ~ r1(X0,X1)
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f11532,plain,
~ spl98_59,
inference(avatar_contradiction_clause,[],[f11531]) ).
fof(f11531,plain,
( $false
| ~ spl98_59 ),
inference(resolution,[],[f11530,f423]) ).
fof(f11530,plain,
( ~ sP40(sK91)
| ~ spl98_59 ),
inference(resolution,[],[f11528,f253]) ).
fof(f11528,plain,
( ~ sP25(sK91)
| ~ spl98_59 ),
inference(resolution,[],[f2082,f409]) ).
fof(f2082,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP25(X0) )
| ~ spl98_59 ),
inference(avatar_component_clause,[],[f2081]) ).
fof(f11111,plain,
spl98_204,
inference(avatar_contradiction_clause,[],[f11110]) ).
fof(f11110,plain,
( $false
| spl98_204 ),
inference(resolution,[],[f11109,f423]) ).
fof(f11109,plain,
( ~ sP40(sK91)
| spl98_204 ),
inference(resolution,[],[f11107,f246]) ).
fof(f246,plain,
! [X0] :
( sP19(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f11107,plain,
( ~ sP19(sK91)
| spl98_204 ),
inference(avatar_component_clause,[],[f11105]) ).
fof(f11105,plain,
( spl98_204
<=> sP19(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_204])]) ).
fof(f11108,plain,
( ~ spl98_204
| ~ spl98_19
| ~ spl98_203 ),
inference(avatar_split_clause,[],[f11102,f11098,f499,f11105]) ).
fof(f11098,plain,
( spl98_203
<=> p304(sK61(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_203])]) ).
fof(f11102,plain,
( ~ p504(sK91)
| ~ sP19(sK91)
| ~ spl98_203 ),
inference(resolution,[],[f11100,f704]) ).
fof(f704,plain,
! [X0] :
( ~ p304(sK61(X0))
| ~ p504(X0)
| ~ sP19(X0) ),
inference(resolution,[],[f343,f409]) ).
fof(f343,plain,
! [X0,X1] :
( ~ p304(sK61(X1))
| ~ r1(X0,X1)
| ~ p504(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(f11100,plain,
( p304(sK61(sK91))
| ~ spl98_203 ),
inference(avatar_component_clause,[],[f11098]) ).
fof(f11101,plain,
( spl98_175
| ~ spl98_19
| spl98_203
| ~ spl98_12 ),
inference(avatar_split_clause,[],[f10808,f469,f11098,f499,f9625]) ).
fof(f9625,plain,
( spl98_175
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP19(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_175])]) ).
fof(f10808,plain,
( ! [X0] :
( p304(sK61(sK91))
| ~ p504(sK91)
| ~ r1(X0,sK91)
| ~ sP19(X0) )
| ~ spl98_12 ),
inference(resolution,[],[f470,f342]) ).
fof(f342,plain,
! [X0,X1] :
( r1(X1,sK61(X1))
| ~ p504(X1)
| ~ r1(X0,X1)
| ~ sP19(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f10778,plain,
spl98_192,
inference(avatar_contradiction_clause,[],[f10777]) ).
fof(f10777,plain,
( $false
| spl98_192 ),
inference(resolution,[],[f10568,f423]) ).
fof(f10568,plain,
( ~ sP40(sK91)
| spl98_192 ),
inference(resolution,[],[f10561,f231]) ).
fof(f231,plain,
! [X0] :
( sP13(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f10561,plain,
( ~ sP13(sK91)
| spl98_192 ),
inference(avatar_component_clause,[],[f10559]) ).
fof(f10562,plain,
( ~ spl98_192
| ~ spl98_18
| ~ spl98_186 ),
inference(avatar_split_clause,[],[f10531,f10527,f495,f10559]) ).
fof(f10527,plain,
( spl98_186
<=> p305(sK67(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_186])]) ).
fof(f10531,plain,
( ~ p505(sK91)
| ~ sP13(sK91)
| ~ spl98_186 ),
inference(resolution,[],[f10529,f716]) ).
fof(f716,plain,
! [X0] :
( ~ p305(sK67(X0))
| ~ p505(X0)
| ~ sP13(X0) ),
inference(resolution,[],[f355,f409]) ).
fof(f355,plain,
! [X0,X1] :
( ~ p305(sK67(X1))
| ~ r1(X0,X1)
| ~ p505(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(f10529,plain,
( p305(sK67(sK91))
| ~ spl98_186 ),
inference(avatar_component_clause,[],[f10527]) ).
fof(f10530,plain,
( spl98_161
| ~ spl98_18
| spl98_186
| ~ spl98_29 ),
inference(avatar_split_clause,[],[f10336,f623,f10527,f495,f9036]) ).
fof(f10336,plain,
( ! [X0] :
( p305(sK67(sK91))
| ~ p505(sK91)
| ~ r1(X0,sK91)
| ~ sP13(X0) )
| ~ spl98_29 ),
inference(resolution,[],[f624,f354]) ).
fof(f354,plain,
! [X0,X1] :
( r1(X1,sK67(X1))
| ~ p505(X1)
| ~ r1(X0,X1)
| ~ sP13(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f10372,plain,
spl98_182,
inference(avatar_contradiction_clause,[],[f10371]) ).
fof(f10371,plain,
( $false
| spl98_182 ),
inference(resolution,[],[f10370,f423]) ).
fof(f10370,plain,
( ~ sP40(sK91)
| spl98_182 ),
inference(resolution,[],[f10292,f270]) ).
fof(f270,plain,
! [X0] :
( sP34(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f10292,plain,
( ~ sP34(sK91)
| spl98_182 ),
inference(avatar_component_clause,[],[f10290]) ).
fof(f10290,plain,
( spl98_182
<=> sP34(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_182])]) ).
fof(f10293,plain,
( ~ spl98_182
| ~ spl98_30
| ~ spl98_166 ),
inference(avatar_split_clause,[],[f9298,f9292,f626,f10290]) ).
fof(f9292,plain,
( spl98_166
<=> p103(sK46(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_166])]) ).
fof(f9298,plain,
( ~ p303(sK91)
| ~ sP34(sK91)
| ~ spl98_166 ),
inference(resolution,[],[f9294,f660]) ).
fof(f660,plain,
! [X0] :
( ~ p103(sK46(X0))
| ~ p303(X0)
| ~ sP34(X0) ),
inference(resolution,[],[f313,f409]) ).
fof(f313,plain,
! [X0,X1] :
( ~ p103(sK46(X1))
| ~ r1(X0,X1)
| ~ p303(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(f9294,plain,
( p103(sK46(sK91))
| ~ spl98_166 ),
inference(avatar_component_clause,[],[f9292]) ).
fof(f9640,plain,
~ spl98_175,
inference(avatar_contradiction_clause,[],[f9639]) ).
fof(f9639,plain,
( $false
| ~ spl98_175 ),
inference(resolution,[],[f9632,f423]) ).
fof(f9632,plain,
( ~ sP40(sK91)
| ~ spl98_175 ),
inference(resolution,[],[f9630,f246]) ).
fof(f9630,plain,
( ~ sP19(sK91)
| ~ spl98_175 ),
inference(resolution,[],[f9626,f409]) ).
fof(f9626,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP19(X0) )
| ~ spl98_175 ),
inference(avatar_component_clause,[],[f9625]) ).
fof(f9629,plain,
~ spl98_172,
inference(avatar_contradiction_clause,[],[f9628]) ).
fof(f9628,plain,
( $false
| ~ spl98_172 ),
inference(resolution,[],[f9619,f423]) ).
fof(f9619,plain,
( ~ sP40(sK91)
| ~ spl98_172 ),
inference(resolution,[],[f9617,f249]) ).
fof(f9617,plain,
( ~ sP22(sK91)
| ~ spl98_172 ),
inference(resolution,[],[f9546,f409]) ).
fof(f9546,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP22(X0) )
| ~ spl98_172 ),
inference(avatar_component_clause,[],[f9545]) ).
fof(f9533,plain,
~ spl98_65,
inference(avatar_contradiction_clause,[],[f9532]) ).
fof(f9532,plain,
( $false
| ~ spl98_65 ),
inference(resolution,[],[f9526,f423]) ).
fof(f9526,plain,
( ~ sP40(sK91)
| ~ spl98_65 ),
inference(resolution,[],[f9524,f238]) ).
fof(f9524,plain,
( ~ sP17(sK91)
| ~ spl98_65 ),
inference(resolution,[],[f3023,f409]) ).
fof(f3023,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP17(X0) )
| ~ spl98_65 ),
inference(avatar_component_clause,[],[f3022]) ).
fof(f9297,plain,
~ spl98_165,
inference(avatar_contradiction_clause,[],[f9296]) ).
fof(f9296,plain,
( $false
| ~ spl98_165 ),
inference(resolution,[],[f9290,f423]) ).
fof(f9290,plain,
( ~ sP40(sK91)
| ~ spl98_165 ),
inference(resolution,[],[f9288,f266]) ).
fof(f9288,plain,
( ~ sP30(sK91)
| ~ spl98_165 ),
inference(resolution,[],[f9282,f409]) ).
fof(f9282,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP30(X0) )
| ~ spl98_165 ),
inference(avatar_component_clause,[],[f9281]) ).
fof(f9295,plain,
( spl98_49
| ~ spl98_30
| spl98_166
| ~ spl98_2 ),
inference(avatar_split_clause,[],[f8317,f429,f9292,f626,f1294]) ).
fof(f1294,plain,
( spl98_49
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP34(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_49])]) ).
fof(f8317,plain,
( ! [X0] :
( p103(sK46(sK91))
| ~ p303(sK91)
| ~ r1(X0,sK91)
| ~ sP34(X0) )
| ~ spl98_2 ),
inference(resolution,[],[f430,f312]) ).
fof(f312,plain,
! [X0,X1] :
( r1(X1,sK46(X1))
| ~ p303(X1)
| ~ r1(X0,X1)
| ~ sP34(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f9287,plain,
( ~ spl98_8
| spl98_99
| ~ spl98_136 ),
inference(avatar_contradiction_clause,[],[f9284]) ).
fof(f9284,plain,
( $false
| ~ spl98_8
| spl98_99
| ~ spl98_136 ),
inference(resolution,[],[f9059,f6966]) ).
fof(f6966,plain,
( ~ p204(sK77(sK91))
| spl98_99 ),
inference(avatar_component_clause,[],[f6964]) ).
fof(f9059,plain,
( p204(sK77(sK91))
| ~ spl98_8
| ~ spl98_136 ),
inference(resolution,[],[f454,f7314]) ).
fof(f7314,plain,
( r1(sK91,sK77(sK91))
| ~ spl98_136 ),
inference(avatar_component_clause,[],[f7312]) ).
fof(f9132,plain,
~ spl98_163,
inference(avatar_contradiction_clause,[],[f9131]) ).
fof(f9131,plain,
( $false
| ~ spl98_163 ),
inference(resolution,[],[f9130,f423]) ).
fof(f9130,plain,
( ~ sP40(sK91)
| ~ spl98_163 ),
inference(resolution,[],[f9128,f229]) ).
fof(f9128,plain,
( ~ sP11(sK91)
| ~ spl98_163 ),
inference(resolution,[],[f9045,f409]) ).
fof(f9045,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP11(X0) )
| ~ spl98_163 ),
inference(avatar_component_clause,[],[f9044]) ).
fof(f9056,plain,
( ~ spl98_25
| ~ spl98_37
| ~ spl98_28 ),
inference(avatar_split_clause,[],[f9012,f616,f740,f527]) ).
fof(f9012,plain,
( ~ p401(sK91)
| ~ sP40(sK91)
| ~ spl98_28 ),
inference(resolution,[],[f618,f559]) ).
fof(f559,plain,
! [X0] :
( ~ p201(X0)
| ~ p401(X0)
| ~ sP40(X0) ),
inference(resolution,[],[f295,f409]) ).
fof(f295,plain,
! [X0,X7] :
( ~ r1(X0,X7)
| ~ p401(X7)
| ~ p201(X7)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f9055,plain,
~ spl98_49,
inference(avatar_contradiction_clause,[],[f9054]) ).
fof(f9054,plain,
( $false
| ~ spl98_49 ),
inference(resolution,[],[f9053,f423]) ).
fof(f9053,plain,
( ~ sP40(sK91)
| ~ spl98_49 ),
inference(resolution,[],[f9051,f270]) ).
fof(f9051,plain,
( ~ sP34(sK91)
| ~ spl98_49 ),
inference(resolution,[],[f1295,f409]) ).
fof(f1295,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP34(X0) )
| ~ spl98_49 ),
inference(avatar_component_clause,[],[f1294]) ).
fof(f9047,plain,
( ~ spl98_25
| ~ spl98_37
| ~ spl98_32 ),
inference(avatar_split_clause,[],[f8988,f634,f740,f527]) ).
fof(f8988,plain,
( ~ p401(sK91)
| ~ sP40(sK91)
| ~ spl98_32 ),
inference(resolution,[],[f636,f556]) ).
fof(f556,plain,
! [X0] :
( ~ p301(X0)
| ~ p401(X0)
| ~ sP40(X0) ),
inference(resolution,[],[f292,f409]) ).
fof(f292,plain,
! [X10,X0] :
( ~ r1(X0,X10)
| ~ p401(X10)
| ~ p301(X10)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f9029,plain,
spl98_158,
inference(avatar_contradiction_clause,[],[f9028]) ).
fof(f9028,plain,
( $false
| spl98_158 ),
inference(resolution,[],[f9027,f423]) ).
fof(f9027,plain,
( ~ sP40(sK91)
| spl98_158 ),
inference(resolution,[],[f9020,f268]) ).
fof(f268,plain,
! [X0] :
( sP32(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f9020,plain,
( ~ sP32(sK91)
| spl98_158 ),
inference(avatar_component_clause,[],[f9018]) ).
fof(f9018,plain,
( spl98_158
<=> sP32(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_158])]) ).
fof(f9021,plain,
( ~ spl98_158
| ~ spl98_20
| ~ spl98_151 ),
inference(avatar_split_clause,[],[f8977,f8958,f503,f9018]) ).
fof(f8958,plain,
( spl98_151
<=> p103(sK48(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_151])]) ).
fof(f8977,plain,
( ~ p503(sK91)
| ~ sP32(sK91)
| ~ spl98_151 ),
inference(resolution,[],[f8960,f669]) ).
fof(f669,plain,
! [X0] :
( ~ p103(sK48(X0))
| ~ p503(X0)
| ~ sP32(X0) ),
inference(resolution,[],[f317,f409]) ).
fof(f317,plain,
! [X0,X1] :
( ~ p103(sK48(X1))
| ~ r1(X0,X1)
| ~ p503(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(f8960,plain,
( p103(sK48(sK91))
| ~ spl98_151 ),
inference(avatar_component_clause,[],[f8958]) ).
fof(f9010,plain,
~ spl98_53,
inference(avatar_contradiction_clause,[],[f9009]) ).
fof(f9009,plain,
( $false
| ~ spl98_53 ),
inference(resolution,[],[f9003,f423]) ).
fof(f9003,plain,
( ~ sP40(sK91)
| ~ spl98_53 ),
inference(resolution,[],[f9001,f268]) ).
fof(f9001,plain,
( ~ sP32(sK91)
| ~ spl98_53 ),
inference(resolution,[],[f1477,f409]) ).
fof(f1477,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP32(X0) )
| ~ spl98_53 ),
inference(avatar_component_clause,[],[f1476]) ).
fof(f1476,plain,
( spl98_53
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP32(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_53])]) ).
fof(f9008,plain,
( spl98_71
| ~ spl98_20
| spl98_157
| ~ spl98_26 ),
inference(avatar_split_clause,[],[f8622,f609,f9005,f503,f4340]) ).
fof(f4340,plain,
( spl98_71
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP28(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_71])]) ).
fof(f8622,plain,
( ! [X0] :
( p203(sK52(sK91))
| ~ p503(sK91)
| ~ r1(X0,sK91)
| ~ sP28(X0) )
| ~ spl98_26 ),
inference(resolution,[],[f610,f324]) ).
fof(f324,plain,
! [X0,X1] :
( r1(X1,sK52(X1))
| ~ p503(X1)
| ~ r1(X0,X1)
| ~ sP28(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f8987,plain,
( ~ spl98_29
| spl98_132
| ~ spl98_145 ),
inference(avatar_contradiction_clause,[],[f8984]) ).
fof(f8984,plain,
( $false
| ~ spl98_29
| spl98_132
| ~ spl98_145 ),
inference(resolution,[],[f8533,f7107]) ).
fof(f7107,plain,
( ~ p305(sK89(sK91))
| spl98_132 ),
inference(avatar_component_clause,[],[f7105]) ).
fof(f8533,plain,
( p305(sK89(sK91))
| ~ spl98_29
| ~ spl98_145 ),
inference(resolution,[],[f624,f8181]) ).
fof(f8181,plain,
( r1(sK91,sK89(sK91))
| ~ spl98_145 ),
inference(avatar_component_clause,[],[f8179]) ).
fof(f8975,plain,
~ spl98_153,
inference(avatar_contradiction_clause,[],[f8974]) ).
fof(f8974,plain,
( $false
| ~ spl98_153 ),
inference(resolution,[],[f8973,f423]) ).
fof(f8973,plain,
( ~ sP40(sK91)
| ~ spl98_153 ),
inference(resolution,[],[f8971,f234]) ).
fof(f8971,plain,
( ~ sP15(sK91)
| ~ spl98_153 ),
inference(resolution,[],[f8969,f409]) ).
fof(f8969,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP15(X0) )
| ~ spl98_153 ),
inference(avatar_component_clause,[],[f8968]) ).
fof(f8961,plain,
( spl98_53
| ~ spl98_20
| spl98_151
| ~ spl98_2 ),
inference(avatar_split_clause,[],[f8319,f429,f8958,f503,f1476]) ).
fof(f8319,plain,
( ! [X0] :
( p103(sK48(sK91))
| ~ p503(sK91)
| ~ r1(X0,sK91)
| ~ sP32(X0) )
| ~ spl98_2 ),
inference(resolution,[],[f430,f316]) ).
fof(f316,plain,
! [X0,X1] :
( r1(X1,sK48(X1))
| ~ p503(X1)
| ~ r1(X0,X1)
| ~ sP32(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f8599,plain,
( ~ spl98_10
| spl98_119
| ~ spl98_143 ),
inference(avatar_contradiction_clause,[],[f8596]) ).
fof(f8596,plain,
( $false
| ~ spl98_10
| spl98_119
| ~ spl98_143 ),
inference(resolution,[],[f7994,f7050]) ).
fof(f7050,plain,
( ~ p205(sK85(sK91))
| spl98_119 ),
inference(avatar_component_clause,[],[f7048]) ).
fof(f7994,plain,
( p205(sK85(sK91))
| ~ spl98_10
| ~ spl98_143 ),
inference(resolution,[],[f7991,f462]) ).
fof(f7991,plain,
( r1(sK91,sK85(sK91))
| ~ spl98_143 ),
inference(avatar_component_clause,[],[f7989]) ).
fof(f8524,plain,
~ spl98_41,
inference(avatar_contradiction_clause,[],[f8523]) ).
fof(f8523,plain,
( $false
| ~ spl98_41 ),
inference(resolution,[],[f8522,f423]) ).
fof(f8522,plain,
( ~ sP40(sK91)
| ~ spl98_41 ),
inference(resolution,[],[f8520,f285]) ).
fof(f8520,plain,
( ~ sP38(sK91)
| ~ spl98_41 ),
inference(resolution,[],[f931,f409]) ).
fof(f931,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP38(X0) )
| ~ spl98_41 ),
inference(avatar_component_clause,[],[f930]) ).
fof(f8187,plain,
~ spl98_129,
inference(avatar_contradiction_clause,[],[f8186]) ).
fof(f8186,plain,
( $false
| ~ spl98_129 ),
inference(resolution,[],[f8185,f423]) ).
fof(f8185,plain,
( ~ sP40(sK91)
| ~ spl98_129 ),
inference(resolution,[],[f8183,f232]) ).
fof(f8183,plain,
( ~ sP0(sK91)
| ~ spl98_129 ),
inference(resolution,[],[f7094,f409]) ).
fof(f7094,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP0(X0) )
| ~ spl98_129 ),
inference(avatar_component_clause,[],[f7093]) ).
fof(f7317,plain,
~ spl98_86,
inference(avatar_contradiction_clause,[],[f7316]) ).
fof(f7316,plain,
( $false
| ~ spl98_86 ),
inference(resolution,[],[f7310,f423]) ).
fof(f7310,plain,
( ~ sP40(sK91)
| ~ spl98_86 ),
inference(resolution,[],[f7308,f256]) ).
fof(f7308,plain,
( ~ sP8(sK91)
| ~ spl98_86 ),
inference(resolution,[],[f6911,f409]) ).
fof(f6911,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP8(X0) )
| ~ spl98_86 ),
inference(avatar_component_clause,[],[f6910]) ).
fof(f7307,plain,
( ~ spl98_4
| spl98_89
| ~ spl98_134 ),
inference(avatar_contradiction_clause,[],[f7304]) ).
fof(f7304,plain,
( $false
| ~ spl98_4
| spl98_89
| ~ spl98_134 ),
inference(resolution,[],[f7120,f6924]) ).
fof(f6924,plain,
( ~ p104(sK73(sK91))
| spl98_89 ),
inference(avatar_component_clause,[],[f6922]) ).
fof(f7120,plain,
( p104(sK73(sK91))
| ~ spl98_4
| ~ spl98_134 ),
inference(resolution,[],[f7117,f438]) ).
fof(f7117,plain,
( r1(sK91,sK73(sK91))
| ~ spl98_134 ),
inference(avatar_component_clause,[],[f7115]) ).
fof(f5637,plain,
spl98_76,
inference(avatar_contradiction_clause,[],[f5636]) ).
fof(f5636,plain,
( $false
| spl98_76 ),
inference(resolution,[],[f5635,f423]) ).
fof(f5635,plain,
( ~ sP40(sK91)
| spl98_76 ),
inference(resolution,[],[f5543,f282]) ).
fof(f282,plain,
! [X0] :
( sP35(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f5543,plain,
( ~ sP35(sK91)
| spl98_76 ),
inference(avatar_component_clause,[],[f5541]) ).
fof(f5541,plain,
( spl98_76
<=> sP35(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_76])]) ).
fof(f5544,plain,
( ~ spl98_76
| ~ spl98_16
| ~ spl98_75 ),
inference(avatar_split_clause,[],[f5448,f5444,f486,f5541]) ).
fof(f5444,plain,
( spl98_75
<=> p102(sK45(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_75])]) ).
fof(f5448,plain,
( ~ p602(sK91)
| ~ sP35(sK91)
| ~ spl98_75 ),
inference(resolution,[],[f5446,f658]) ).
fof(f658,plain,
! [X0] :
( ~ p102(sK45(X0))
| ~ p602(X0)
| ~ sP35(X0) ),
inference(resolution,[],[f311,f409]) ).
fof(f311,plain,
! [X0,X1] :
( ~ p102(sK45(X1))
| ~ r1(X0,X1)
| ~ p602(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(f5446,plain,
( p102(sK45(sK91))
| ~ spl98_75 ),
inference(avatar_component_clause,[],[f5444]) ).
fof(f5447,plain,
( spl98_47
| ~ spl98_16
| spl98_75
| ~ spl98_6 ),
inference(avatar_split_clause,[],[f3032,f445,f5444,f486,f1203]) ).
fof(f1203,plain,
( spl98_47
<=> ! [X0] :
( ~ r1(X0,sK91)
| ~ sP35(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_47])]) ).
fof(f3032,plain,
( ! [X0] :
( p102(sK45(sK91))
| ~ p602(sK91)
| ~ r1(X0,sK91)
| ~ sP35(X0) )
| ~ spl98_6 ),
inference(resolution,[],[f446,f310]) ).
fof(f310,plain,
! [X0,X1] :
( r1(X1,sK45(X1))
| ~ p602(X1)
| ~ r1(X0,X1)
| ~ sP35(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f4527,plain,
~ spl98_71,
inference(avatar_contradiction_clause,[],[f4526]) ).
fof(f4526,plain,
( $false
| ~ spl98_71 ),
inference(resolution,[],[f4435,f423]) ).
fof(f4435,plain,
( ~ sP40(sK91)
| ~ spl98_71 ),
inference(resolution,[],[f4343,f264]) ).
fof(f4343,plain,
( ~ sP28(sK91)
| ~ spl98_71 ),
inference(resolution,[],[f4341,f409]) ).
fof(f4341,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP28(X0) )
| ~ spl98_71 ),
inference(avatar_component_clause,[],[f4340]) ).
fof(f4154,plain,
~ spl98_45,
inference(avatar_contradiction_clause,[],[f4153]) ).
fof(f4153,plain,
( $false
| ~ spl98_45 ),
inference(resolution,[],[f4152,f423]) ).
fof(f4152,plain,
( ~ sP40(sK91)
| ~ spl98_45 ),
inference(resolution,[],[f4060,f283]) ).
fof(f4060,plain,
( ~ sP36(sK91)
| ~ spl98_45 ),
inference(resolution,[],[f1113,f409]) ).
fof(f1113,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP36(X0) )
| ~ spl98_45 ),
inference(avatar_component_clause,[],[f1112]) ).
fof(f3968,plain,
( ~ spl98_25
| ~ spl98_16
| ~ spl98_21 ),
inference(avatar_split_clause,[],[f3965,f507,f486,f527]) ).
fof(f3965,plain,
( ~ p602(sK91)
| ~ sP40(sK91)
| ~ spl98_21 ),
inference(resolution,[],[f509,f541]) ).
fof(f541,plain,
! [X0] :
( ~ p502(X0)
| ~ p602(X0)
| ~ sP40(X0) ),
inference(resolution,[],[f272,f409]) ).
fof(f272,plain,
! [X0,X25] :
( ~ r1(X0,X25)
| ~ p602(X25)
| ~ p502(X25)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f509,plain,
( p502(sK91)
| ~ spl98_21 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f3964,plain,
( ~ spl98_25
| ~ spl98_16
| ~ spl98_36 ),
inference(avatar_split_clause,[],[f3931,f736,f486,f527]) ).
fof(f3931,plain,
( ~ p602(sK91)
| ~ sP40(sK91)
| ~ spl98_36 ),
inference(resolution,[],[f738,f542]) ).
fof(f542,plain,
! [X0] :
( ~ p402(X0)
| ~ p602(X0)
| ~ sP40(X0) ),
inference(resolution,[],[f273,f409]) ).
fof(f273,plain,
! [X0,X24] :
( ~ r1(X0,X24)
| ~ p602(X24)
| ~ p402(X24)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f3929,plain,
( ~ spl98_25
| ~ spl98_22
| ~ spl98_37 ),
inference(avatar_split_clause,[],[f3927,f740,f511,f527]) ).
fof(f3927,plain,
( ~ p501(sK91)
| ~ sP40(sK91)
| ~ spl98_37 ),
inference(resolution,[],[f742,f553]) ).
fof(f553,plain,
! [X0] :
( ~ p401(X0)
| ~ p501(X0)
| ~ sP40(X0) ),
inference(resolution,[],[f289,f409]) ).
fof(f289,plain,
! [X0,X13] :
( ~ r1(X0,X13)
| ~ p501(X13)
| ~ p401(X13)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f3536,plain,
( ~ spl98_25
| ~ spl98_17
| ~ spl98_22 ),
inference(avatar_split_clause,[],[f3025,f511,f490,f527]) ).
fof(f3025,plain,
( ~ p601(sK91)
| ~ sP40(sK91)
| ~ spl98_22 ),
inference(resolution,[],[f513,f551]) ).
fof(f551,plain,
! [X0] :
( ~ p501(X0)
| ~ p601(X0)
| ~ sP40(X0) ),
inference(resolution,[],[f287,f409]) ).
fof(f287,plain,
! [X0,X15] :
( ~ r1(X0,X15)
| ~ p601(X15)
| ~ p501(X15)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f513,plain,
( p501(sK91)
| ~ spl98_22 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f2780,plain,
~ spl98_47,
inference(avatar_contradiction_clause,[],[f2779]) ).
fof(f2779,plain,
( $false
| ~ spl98_47 ),
inference(resolution,[],[f2700,f423]) ).
fof(f2700,plain,
( ~ sP40(sK91)
| ~ spl98_47 ),
inference(resolution,[],[f2698,f282]) ).
fof(f2698,plain,
( ~ sP35(sK91)
| ~ spl98_47 ),
inference(resolution,[],[f1204,f409]) ).
fof(f1204,plain,
( ! [X0] :
( ~ r1(X0,sK91)
| ~ sP35(X0) )
| ~ spl98_47 ),
inference(avatar_component_clause,[],[f1203]) ).
fof(f2519,plain,
( ~ spl98_25
| ~ spl98_16
| ~ spl98_27 ),
inference(avatar_split_clause,[],[f2441,f612,f486,f527]) ).
fof(f2441,plain,
( ~ p602(sK91)
| ~ sP40(sK91)
| ~ spl98_27 ),
inference(resolution,[],[f614,f547]) ).
fof(f547,plain,
! [X0] :
( ~ p202(X0)
| ~ p602(X0)
| ~ sP40(X0) ),
inference(resolution,[],[f278,f409]) ).
fof(f278,plain,
! [X0,X19] :
( ~ r1(X0,X19)
| ~ p602(X19)
| ~ p202(X19)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f2352,plain,
( ~ spl98_25
| ~ spl98_17
| ~ spl98_24 ),
inference(avatar_split_clause,[],[f2267,f519,f490,f527]) ).
fof(f519,plain,
( spl98_24
<=> p101(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl98_24])]) ).
fof(f2267,plain,
( ~ p601(sK91)
| ~ sP40(sK91)
| ~ spl98_24 ),
inference(resolution,[],[f521,f561]) ).
fof(f561,plain,
! [X0] :
( ~ p101(X0)
| ~ p601(X0)
| ~ sP40(X0) ),
inference(resolution,[],[f297,f409]) ).
fof(f297,plain,
! [X0,X5] :
( ~ r1(X0,X5)
| ~ p601(X5)
| ~ p101(X5)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f521,plain,
( p101(sK91)
| ~ spl98_24 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f2351,plain,
( ~ spl98_25
| ~ spl98_22
| ~ spl98_24 ),
inference(avatar_split_clause,[],[f2266,f519,f511,f527]) ).
fof(f2266,plain,
( ~ p501(sK91)
| ~ sP40(sK91)
| ~ spl98_24 ),
inference(resolution,[],[f521,f562]) ).
fof(f562,plain,
! [X0] :
( ~ p101(X0)
| ~ p501(X0)
| ~ sP40(X0) ),
inference(resolution,[],[f298,f409]) ).
fof(f298,plain,
! [X0,X4] :
( ~ r1(X0,X4)
| ~ p501(X4)
| ~ p101(X4)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f2270,plain,
( ~ spl98_25
| ~ spl98_37
| ~ spl98_24 ),
inference(avatar_split_clause,[],[f2265,f519,f740,f527]) ).
fof(f2265,plain,
( ~ p401(sK91)
| ~ sP40(sK91)
| ~ spl98_24 ),
inference(resolution,[],[f521,f563]) ).
fof(f563,plain,
! [X0] :
( ~ p101(X0)
| ~ p401(X0)
| ~ sP40(X0) ),
inference(resolution,[],[f299,f409]) ).
fof(f299,plain,
! [X3,X0] :
( ~ r1(X0,X3)
| ~ p401(X3)
| ~ p101(X3)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f2269,plain,
( ~ spl98_25
| ~ spl98_32
| ~ spl98_24 ),
inference(avatar_split_clause,[],[f2264,f519,f634,f527]) ).
fof(f2264,plain,
( ~ p301(sK91)
| ~ sP40(sK91)
| ~ spl98_24 ),
inference(resolution,[],[f521,f564]) ).
fof(f564,plain,
! [X0] :
( ~ p101(X0)
| ~ p301(X0)
| ~ sP40(X0) ),
inference(resolution,[],[f300,f409]) ).
fof(f300,plain,
! [X2,X0] :
( ~ r1(X0,X2)
| ~ p301(X2)
| ~ p101(X2)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f2268,plain,
( ~ spl98_25
| ~ spl98_28
| ~ spl98_24 ),
inference(avatar_split_clause,[],[f2263,f519,f616,f527]) ).
fof(f2263,plain,
( ~ p201(sK91)
| ~ sP40(sK91)
| ~ spl98_24 ),
inference(resolution,[],[f521,f565]) ).
fof(f565,plain,
! [X0] :
( ~ p101(X0)
| ~ p201(X0)
| ~ sP40(X0) ),
inference(resolution,[],[f301,f409]) ).
fof(f301,plain,
! [X0,X1] :
( ~ r1(X0,X1)
| ~ p201(X1)
| ~ p101(X1)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f743,plain,
( spl98_33
| spl98_34
| spl98_35
| spl98_36
| spl98_37 ),
inference(avatar_split_clause,[],[f405,f740,f736,f732,f728,f725]) ).
fof(f405,plain,
! [X10] :
( p401(sK91)
| p402(sK91)
| p403(sK91)
| p404(sK91)
| p405(X10)
| ~ r1(sK91,X10) ),
inference(cnf_transformation,[],[f226]) ).
fof(f637,plain,
( ~ spl98_11
| spl98_29
| spl98_30
| spl98_31
| spl98_32 ),
inference(avatar_split_clause,[],[f422,f634,f630,f626,f623,f465]) ).
fof(f465,plain,
( spl98_11
<=> sP97 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_11])]) ).
fof(f422,plain,
! [X9] :
( p301(sK91)
| p302(sK91)
| p303(sK91)
| p305(X9)
| ~ r1(sK91,X9)
| ~ sP97 ),
inference(general_splitting,[],[f406,f421_D]) ).
fof(f421,plain,
! [X8] :
( p304(X8)
| ~ r1(sK91,X8)
| sP97 ),
inference(cnf_transformation,[],[f421_D]) ).
fof(f421_D,plain,
( ! [X8] :
( p304(X8)
| ~ r1(sK91,X8) )
<=> ~ sP97 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP97])]) ).
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(f619,plain,
( ~ spl98_9
| ~ spl98_7
| spl98_26
| spl98_27
| spl98_28 ),
inference(avatar_split_clause,[],[f420,f616,f612,f609,f449,f457]) ).
fof(f457,plain,
( spl98_9
<=> sP96 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_9])]) ).
fof(f449,plain,
( spl98_7
<=> sP95 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_7])]) ).
fof(f420,plain,
! [X5] :
( p201(sK91)
| p202(sK91)
| p203(X5)
| ~ r1(sK91,X5)
| ~ sP95
| ~ sP96 ),
inference(general_splitting,[],[f418,f419_D]) ).
fof(f419,plain,
! [X7] :
( p205(X7)
| ~ r1(sK91,X7)
| sP96 ),
inference(cnf_transformation,[],[f419_D]) ).
fof(f419_D,plain,
( ! [X7] :
( p205(X7)
| ~ r1(sK91,X7) )
<=> ~ sP96 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP96])]) ).
fof(f418,plain,
! [X7,X5] :
( p201(sK91)
| p202(sK91)
| p203(X5)
| ~ r1(sK91,X5)
| p205(X7)
| ~ r1(sK91,X7)
| ~ sP95 ),
inference(general_splitting,[],[f407,f417_D]) ).
fof(f417,plain,
! [X6] :
( p204(X6)
| ~ r1(sK91,X6)
| sP95 ),
inference(cnf_transformation,[],[f417_D]) ).
fof(f417_D,plain,
( ! [X6] :
( p204(X6)
| ~ r1(sK91,X6) )
<=> ~ sP95 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP95])]) ).
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(f533,plain,
spl98_25,
inference(avatar_contradiction_clause,[],[f532]) ).
fof(f532,plain,
( $false
| spl98_25 ),
inference(resolution,[],[f529,f423]) ).
fof(f529,plain,
( ~ sP40(sK91)
| spl98_25 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f530,plain,
( ~ spl98_25
| ~ spl98_13
| ~ spl98_18 ),
inference(avatar_split_clause,[],[f525,f495,f474,f527]) ).
fof(f525,plain,
( ~ p605(sK91)
| ~ sP40(sK91)
| ~ spl98_18 ),
inference(resolution,[],[f523,f497]) ).
fof(f497,plain,
( p505(sK91)
| ~ spl98_18 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f523,plain,
! [X0] :
( ~ p505(X0)
| ~ p605(X0)
| ~ sP40(X0) ),
inference(resolution,[],[f227,f409]) ).
fof(f227,plain,
! [X0,X35] :
( ~ r1(X0,X35)
| ~ p605(X35)
| ~ p505(X35)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f522,plain,
( ~ spl98_5
| ~ spl98_3
| ~ spl98_1
| spl98_23
| spl98_24 ),
inference(avatar_split_clause,[],[f416,f519,f516,f425,f433,f441]) ).
fof(f441,plain,
( spl98_5
<=> sP94 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_5])]) ).
fof(f433,plain,
( spl98_3
<=> sP93 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_3])]) ).
fof(f425,plain,
( spl98_1
<=> sP92 ),
introduced(avatar_definition,[new_symbols(naming,[spl98_1])]) ).
fof(f416,plain,
! [X4] :
( p101(sK91)
| p105(X4)
| ~ r1(sK91,X4)
| ~ sP92
| ~ sP93
| ~ sP94 ),
inference(general_splitting,[],[f414,f415_D]) ).
fof(f415,plain,
! [X1] :
( p102(X1)
| ~ r1(sK91,X1)
| sP94 ),
inference(cnf_transformation,[],[f415_D]) ).
fof(f415_D,plain,
( ! [X1] :
( p102(X1)
| ~ r1(sK91,X1) )
<=> ~ sP94 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP94])]) ).
fof(f414,plain,
! [X1,X4] :
( p101(sK91)
| p102(X1)
| ~ r1(sK91,X1)
| p105(X4)
| ~ r1(sK91,X4)
| ~ sP92
| ~ sP93 ),
inference(general_splitting,[],[f412,f413_D]) ).
fof(f413,plain,
! [X3] :
( p104(X3)
| ~ r1(sK91,X3)
| sP93 ),
inference(cnf_transformation,[],[f413_D]) ).
fof(f413_D,plain,
( ! [X3] :
( p104(X3)
| ~ r1(sK91,X3) )
<=> ~ sP93 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP93])]) ).
fof(f412,plain,
! [X3,X1,X4] :
( p101(sK91)
| p102(X1)
| ~ r1(sK91,X1)
| p104(X3)
| ~ r1(sK91,X3)
| p105(X4)
| ~ r1(sK91,X4)
| ~ sP92 ),
inference(general_splitting,[],[f408,f411_D]) ).
fof(f411,plain,
! [X2] :
( p103(X2)
| ~ r1(sK91,X2)
| sP92 ),
inference(cnf_transformation,[],[f411_D]) ).
fof(f411_D,plain,
( ! [X2] :
( p103(X2)
| ~ r1(sK91,X2) )
<=> ~ sP92 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP92])]) ).
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]) ).
fof(f514,plain,
( spl98_18
| spl98_19
| spl98_20
| spl98_21
| spl98_22 ),
inference(avatar_split_clause,[],[f404,f511,f507,f503,f499,f495]) ).
fof(f404,plain,
( p501(sK91)
| p502(sK91)
| p503(sK91)
| p504(sK91)
| p505(sK91) ),
inference(cnf_transformation,[],[f226]) ).
fof(f493,plain,
( spl98_13
| spl98_14
| spl98_15
| spl98_16
| spl98_17 ),
inference(avatar_split_clause,[],[f403,f490,f486,f482,f478,f474]) ).
fof(f403,plain,
( p601(sK91)
| p602(sK91)
| p603(sK91)
| p604(sK91)
| p605(sK91) ),
inference(cnf_transformation,[],[f226]) ).
fof(f471,plain,
( spl98_11
| spl98_12 ),
inference(avatar_split_clause,[],[f421,f469,f465]) ).
fof(f463,plain,
( spl98_9
| spl98_10 ),
inference(avatar_split_clause,[],[f419,f461,f457]) ).
fof(f455,plain,
( spl98_7
| spl98_8 ),
inference(avatar_split_clause,[],[f417,f453,f449]) ).
fof(f447,plain,
( spl98_5
| spl98_6 ),
inference(avatar_split_clause,[],[f415,f445,f441]) ).
fof(f439,plain,
( spl98_3
| spl98_4 ),
inference(avatar_split_clause,[],[f413,f437,f433]) ).
fof(f431,plain,
( spl98_1
| spl98_2 ),
inference(avatar_split_clause,[],[f411,f429,f425]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL684+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 29 22:23:35 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % (23805)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.36 % (23812)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.36 % (23808)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.12/0.36 % (23807)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.36 % (23809)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.12/0.36 % (23810)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.36 % (23811)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.37 % (23806)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.37 TRYING [1]
% 0.12/0.37 TRYING [2]
% 0.12/0.37 TRYING [1]
% 0.12/0.38 TRYING [1]
% 0.12/0.38 TRYING [1]
% 0.12/0.38 TRYING [2]
% 0.12/0.38 TRYING [3]
% 0.12/0.38 TRYING [2]
% 0.12/0.38 TRYING [2]
% 0.19/0.39 TRYING [4]
% 0.19/0.39 TRYING [3]
% 0.19/0.39 TRYING [3]
% 0.19/0.39 TRYING [3]
% 0.19/0.40 TRYING [4]
% 0.19/0.40 TRYING [4]
% 0.19/0.40 TRYING [5]
% 0.19/0.40 TRYING [4]
% 0.19/0.42 TRYING [5]
% 0.19/0.43 TRYING [5]
% 0.19/0.43 TRYING [6]
% 0.19/0.43 TRYING [5]
% 0.19/0.43 TRYING [6]
% 0.19/0.46 TRYING [7]
% 0.19/0.47 TRYING [6]
% 0.19/0.47 TRYING [7]
% 0.19/0.47 TRYING [6]
% 1.31/0.53 TRYING [7]
% 1.31/0.53 TRYING [8]
% 1.31/0.53 TRYING [8]
% 1.43/0.55 TRYING [7]
% 1.43/0.58 TRYING [9]
% 1.43/0.62 TRYING [9]
% 2.04/0.65 TRYING [10]
% 2.04/0.66 TRYING [8]
% 2.04/0.67 TRYING [8]
% 2.41/0.74 TRYING [10]
% 2.99/0.77 TRYING [11]
% 3.32/0.81 TRYING [9]
% 3.54/0.89 TRYING [11]
% 3.54/0.91 TRYING [12]
% 4.13/0.93 TRYING [9]
% 4.13/0.97 % (23808)First to succeed.
% 4.51/0.99 % (23808)Refutation found. Thanks to Tanya!
% 4.51/0.99 % SZS status Theorem for theBenchmark
% 4.51/0.99 % SZS output start Proof for theBenchmark
% See solution above
% 4.51/1.00 % (23808)------------------------------
% 4.51/1.00 % (23808)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 4.51/1.00 % (23808)Termination reason: Refutation
% 4.51/1.00
% 4.51/1.00 % (23808)Memory used [KB]: 11985
% 4.51/1.00 % (23808)Time elapsed: 0.622 s
% 4.51/1.00 % (23808)Instructions burned: 1669 (million)
% 4.51/1.00 % (23808)------------------------------
% 4.51/1.00 % (23808)------------------------------
% 4.51/1.00 % (23805)Success in time 0.641 s
%------------------------------------------------------------------------------