TPTP Problem File: SYO578+1.p
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- Solve Problem
%------------------------------------------------------------------------------
% File : SYO578+1 : TPTP v8.2.0. Released v5.5.0.
% Domain : Syntactic
% Problem : Small buttercup theorem
% Version : Especial.
% English :
% Refs : [Tha10] Thau (2010), Email to Geoff Sutcliffe
% Source : TPTP
% Names : small_entailed.txt [Tha10]
% Status : Theorem
% Rating : 0.00 v6.0.0, 0.33 v5.5.0
% Syntax : Number of formulae : 86 ( 12 unt; 0 def)
% Number of atoms : 295 ( 0 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 303 ( 94 ~; 31 |; 88 &)
% ( 1 <=>; 89 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 12 usr; 0 prp; 1-1 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 150 ( 90 !; 60 ?)
% SPC : FOF_THM_EPR_NEQ
% Comments :
%------------------------------------------------------------------------------
fof(sos_01,axiom,
! [X0] :
( k04_buttercup10620(X0)
=> k04_buttercup10619(X0) ) ).
fof(sos_02,axiom,
! [X1] :
( k04_buttercup10622(X1)
=> k04_buttercup10619(X1) ) ).
fof(sos_03,axiom,
! [X2] :
( b48_buttercup10102(X2)
=> b48_buttercup10098(X2) ) ).
fof(sos_04,axiom,
! [X3] :
( b48_buttercup10104(X3)
=> b48_buttercup10098(X3) ) ).
fof(sos_05,axiom,
! [X4] :
( b48_buttercup10107(X4)
=> b48_buttercup10098(X4) ) ).
fof(sos_06,axiom,
! [X5] :
( b48_buttercup10108(X5)
=> b48_buttercup10098(X5) ) ).
fof(sos_07,axiom,
! [X6] :
( b48_buttercup10109(X6)
=> b48_buttercup10098(X6) ) ).
fof(sos_08,axiom,
! [X7] :
( b48_buttercup10110(X7)
=> b48_buttercup10098(X7) ) ).
fof(sos_09,axiom,
! [X8] :
( b48_buttercup10111(X8)
=> b48_buttercup10098(X8) ) ).
fof(sos_10,axiom,
( ? [X9,X10,X11] :
( k04_buttercup10100(X9)
& b48_buttercup10104(X9)
& k04_buttercup10100(X10)
& ~ b48_buttercup10104(X10)
& ~ k04_buttercup10100(X11)
& b48_buttercup10104(X11) )
| ( ! [X12] :
( b48_buttercup10104(X12)
=> k04_buttercup10100(X12) )
& ? [X13] :
( k04_buttercup10100(X13)
& ~ b48_buttercup10104(X13) ) )
| ( ! [X14] :
( k04_buttercup10100(X14)
=> b48_buttercup10104(X14) )
& ? [X15] :
( b48_buttercup10104(X15)
& ~ k04_buttercup10100(X15) ) )
| ! [X16] :
( k04_buttercup10100(X16)
=> ~ b48_buttercup10104(X16) ) ) ).
fof(sos_11,axiom,
( ! [X17] :
( b48_buttercup10109(X17)
=> k04_buttercup10100(X17) )
& ? [X18] :
( k04_buttercup10100(X18)
& ~ b48_buttercup10109(X18) ) ) ).
fof(sos_12,axiom,
( ? [X19,X20,X21] :
( k04_buttercup10619(X19)
& b48_buttercup10111(X19)
& k04_buttercup10619(X20)
& ~ b48_buttercup10111(X20)
& ~ k04_buttercup10619(X21)
& b48_buttercup10111(X21) )
| ( ! [X22] :
( b48_buttercup10111(X22)
=> k04_buttercup10619(X22) )
& ? [X23] :
( k04_buttercup10619(X23)
& ~ b48_buttercup10111(X23) ) )
| ( ! [X24] :
( k04_buttercup10619(X24)
=> b48_buttercup10111(X24) )
& ? [X25] :
( b48_buttercup10111(X25)
& ~ k04_buttercup10619(X25) ) )
| ! [X26] :
( k04_buttercup10619(X26)
=> ~ b48_buttercup10111(X26) ) ) ).
fof(sos_13,axiom,
( ! [X27] :
( k04_buttercup10619(X27)
=> b48_buttercup10098(X27) )
& ? [X28] :
( b48_buttercup10098(X28)
& ~ k04_buttercup10619(X28) ) ) ).
fof(sos_14,axiom,
( ? [X29,X30,X31] :
( k04_buttercup10619(X29)
& b48_buttercup10109(X29)
& k04_buttercup10619(X30)
& ~ b48_buttercup10109(X30)
& ~ k04_buttercup10619(X31)
& b48_buttercup10109(X31) )
| ( ! [X32] :
( b48_buttercup10109(X32)
=> k04_buttercup10619(X32) )
& ? [X33] :
( k04_buttercup10619(X33)
& ~ b48_buttercup10109(X33) ) )
| ( ! [X34] :
( k04_buttercup10619(X34)
=> b48_buttercup10109(X34) )
& ? [X35] :
( b48_buttercup10109(X35)
& ~ k04_buttercup10619(X35) ) )
| ! [X36] :
( k04_buttercup10619(X36)
=> ~ b48_buttercup10109(X36) ) ) ).
fof(sos_15,axiom,
( ! [X37] :
( b48_buttercup10111(X37)
=> k04_buttercup10100(X37) )
& ? [X38] :
( k04_buttercup10100(X38)
& ~ b48_buttercup10111(X38) ) ) ).
fof(sos_16,axiom,
( ? [X39,X40,X41] :
( k04_buttercup10100(X39)
& b48_buttercup10108(X39)
& k04_buttercup10100(X40)
& ~ b48_buttercup10108(X40)
& ~ k04_buttercup10100(X41)
& b48_buttercup10108(X41) )
| ( ! [X42] :
( b48_buttercup10108(X42)
=> k04_buttercup10100(X42) )
& ? [X43] :
( k04_buttercup10100(X43)
& ~ b48_buttercup10108(X43) ) )
| ( ! [X44] :
( k04_buttercup10100(X44)
=> b48_buttercup10108(X44) )
& ? [X45] :
( b48_buttercup10108(X45)
& ~ k04_buttercup10100(X45) ) )
| ! [X46] :
( k04_buttercup10100(X46)
=> ~ b48_buttercup10108(X46) ) ) ).
fof(sos_17,axiom,
( ? [X47,X48,X49] :
( k04_buttercup10100(X47)
& b48_buttercup10110(X47)
& k04_buttercup10100(X48)
& ~ b48_buttercup10110(X48)
& ~ k04_buttercup10100(X49)
& b48_buttercup10110(X49) )
| ( ! [X50] :
( b48_buttercup10110(X50)
=> k04_buttercup10100(X50) )
& ? [X51] :
( k04_buttercup10100(X51)
& ~ b48_buttercup10110(X51) ) )
| ( ! [X52] :
( k04_buttercup10100(X52)
=> b48_buttercup10110(X52) )
& ? [X53] :
( b48_buttercup10110(X53)
& ~ k04_buttercup10100(X53) ) )
| ! [X54] :
( k04_buttercup10100(X54)
=> ~ b48_buttercup10110(X54) ) ) ).
fof(sos_18,axiom,
( ! [X55] :
( b48_buttercup10104(X55)
=> k04_buttercup10622(X55) )
& ? [X56] :
( k04_buttercup10622(X56)
& ~ b48_buttercup10104(X56) ) ) ).
fof(sos_19,axiom,
( ! [X57] :
( b48_buttercup10110(X57)
=> k04_buttercup10622(X57) )
& ? [X58] :
( k04_buttercup10622(X58)
& ~ b48_buttercup10110(X58) ) ) ).
fof(sos_20,axiom,
( ! [X59] :
( b48_buttercup10108(X59)
=> k04_buttercup10622(X59) )
& ? [X60] :
( k04_buttercup10622(X60)
& ~ b48_buttercup10108(X60) ) ) ).
fof(sos_21,axiom,
( ! [X61] :
( k04_buttercup10100(X61)
=> b48_buttercup10098(X61) )
& ? [X62] :
( b48_buttercup10098(X62)
& ~ k04_buttercup10100(X62) ) ) ).
fof(sos_22,axiom,
( ? [X63,X64,X65] :
( k04_buttercup10100(X63)
& b48_buttercup10102(X63)
& k04_buttercup10100(X64)
& ~ b48_buttercup10102(X64)
& ~ k04_buttercup10100(X65)
& b48_buttercup10102(X65) )
| ( ! [X66] :
( b48_buttercup10102(X66)
=> k04_buttercup10100(X66) )
& ? [X67] :
( k04_buttercup10100(X67)
& ~ b48_buttercup10102(X67) ) )
| ( ! [X68] :
( k04_buttercup10100(X68)
=> b48_buttercup10102(X68) )
& ? [X69] :
( b48_buttercup10102(X69)
& ~ k04_buttercup10100(X69) ) )
| ! [X70] :
( k04_buttercup10100(X70)
=> ~ b48_buttercup10102(X70) ) ) ).
fof(sos_23,axiom,
( ! [X71] :
( b48_buttercup10102(X71)
=> k04_buttercup10622(X71) )
& ? [X72] :
( k04_buttercup10622(X72)
& ~ b48_buttercup10102(X72) ) ) ).
fof(sos_24,axiom,
! [X73] :
( k04_buttercup10620(X73)
<=> b48_buttercup10107(X73) ) ).
fof(sos_25,axiom,
( ? [X74,X75,X76] :
( k04_buttercup10100(X74)
& b48_buttercup10107(X74)
& k04_buttercup10100(X75)
& ~ b48_buttercup10107(X75)
& ~ k04_buttercup10100(X76)
& b48_buttercup10107(X76) )
| ( ! [X77] :
( b48_buttercup10107(X77)
=> k04_buttercup10100(X77) )
& ? [X78] :
( k04_buttercup10100(X78)
& ~ b48_buttercup10107(X78) ) )
| ( ! [X79] :
( k04_buttercup10100(X79)
=> b48_buttercup10107(X79) )
& ? [X80] :
( b48_buttercup10107(X80)
& ~ k04_buttercup10100(X80) ) )
| ! [X81] :
( k04_buttercup10100(X81)
=> ~ b48_buttercup10107(X81) ) ) ).
fof(sos_26,axiom,
? [X82] : k04_buttercup10100(X82) ).
fof(sos_27,axiom,
? [X83] : k04_buttercup10619(X83) ).
fof(sos_28,axiom,
? [X84] : k04_buttercup10620(X84) ).
fof(sos_29,axiom,
? [X85] : k04_buttercup10622(X85) ).
fof(sos_30,axiom,
? [X86] : b48_buttercup10098(X86) ).
fof(sos_31,axiom,
? [X87] : b48_buttercup10111(X87) ).
fof(sos_32,axiom,
? [X88] : b48_buttercup10110(X88) ).
fof(sos_33,axiom,
? [X89] : b48_buttercup10102(X89) ).
fof(sos_34,axiom,
? [X90] : b48_buttercup10104(X90) ).
fof(sos_35,axiom,
? [X91] : b48_buttercup10107(X91) ).
fof(sos_36,axiom,
? [X92] : b48_buttercup10108(X92) ).
fof(sos_37,axiom,
? [X93] : b48_buttercup10109(X93) ).
fof(sos_38,axiom,
! [X94] :
( k04_buttercup10100(X94)
=> ~ k04_buttercup10619(X94) ) ).
fof(sos_39,axiom,
! [X95] :
( k04_buttercup10620(X95)
=> ~ k04_buttercup10622(X95) ) ).
fof(sos_40,axiom,
! [X96] :
( k04_buttercup10622(X96)
=> ~ k04_buttercup10620(X96) ) ).
fof(sos_41,axiom,
! [X97] :
( k04_buttercup10619(X97)
=> ~ k04_buttercup10100(X97) ) ).
fof(sos_42,axiom,
! [X98] :
( b48_buttercup10102(X98)
=> ~ b48_buttercup10104(X98) ) ).
fof(sos_43,axiom,
! [X99] :
( b48_buttercup10102(X99)
=> ~ b48_buttercup10107(X99) ) ).
fof(sos_44,axiom,
! [X100] :
( b48_buttercup10102(X100)
=> ~ b48_buttercup10108(X100) ) ).
fof(sos_45,axiom,
! [X101] :
( b48_buttercup10102(X101)
=> ~ b48_buttercup10109(X101) ) ).
fof(sos_46,axiom,
! [X102] :
( b48_buttercup10102(X102)
=> ~ b48_buttercup10110(X102) ) ).
fof(sos_47,axiom,
! [X103] :
( b48_buttercup10102(X103)
=> ~ b48_buttercup10111(X103) ) ).
fof(sos_48,axiom,
! [X104] :
( b48_buttercup10104(X104)
=> ~ b48_buttercup10102(X104) ) ).
fof(sos_49,axiom,
! [X105] :
( b48_buttercup10104(X105)
=> ~ b48_buttercup10107(X105) ) ).
fof(sos_50,axiom,
! [X106] :
( b48_buttercup10104(X106)
=> ~ b48_buttercup10108(X106) ) ).
fof(sos_51,axiom,
! [X107] :
( b48_buttercup10104(X107)
=> ~ b48_buttercup10109(X107) ) ).
fof(sos_52,axiom,
! [X108] :
( b48_buttercup10104(X108)
=> ~ b48_buttercup10110(X108) ) ).
fof(sos_53,axiom,
! [X109] :
( b48_buttercup10104(X109)
=> ~ b48_buttercup10111(X109) ) ).
fof(sos_54,axiom,
! [X110] :
( b48_buttercup10107(X110)
=> ~ b48_buttercup10102(X110) ) ).
fof(sos_55,axiom,
! [X111] :
( b48_buttercup10107(X111)
=> ~ b48_buttercup10104(X111) ) ).
fof(sos_56,axiom,
! [X112] :
( b48_buttercup10107(X112)
=> ~ b48_buttercup10108(X112) ) ).
fof(sos_57,axiom,
! [X113] :
( b48_buttercup10107(X113)
=> ~ b48_buttercup10109(X113) ) ).
fof(sos_58,axiom,
! [X114] :
( b48_buttercup10107(X114)
=> ~ b48_buttercup10110(X114) ) ).
fof(sos_59,axiom,
! [X115] :
( b48_buttercup10107(X115)
=> ~ b48_buttercup10111(X115) ) ).
fof(sos_60,axiom,
! [X116] :
( b48_buttercup10108(X116)
=> ~ b48_buttercup10102(X116) ) ).
fof(sos_61,axiom,
! [X117] :
( b48_buttercup10108(X117)
=> ~ b48_buttercup10104(X117) ) ).
fof(sos_62,axiom,
! [X118] :
( b48_buttercup10108(X118)
=> ~ b48_buttercup10107(X118) ) ).
fof(sos_63,axiom,
! [X119] :
( b48_buttercup10108(X119)
=> ~ b48_buttercup10109(X119) ) ).
fof(sos_64,axiom,
! [X120] :
( b48_buttercup10108(X120)
=> ~ b48_buttercup10110(X120) ) ).
fof(sos_65,axiom,
! [X121] :
( b48_buttercup10108(X121)
=> ~ b48_buttercup10111(X121) ) ).
fof(sos_66,axiom,
! [X122] :
( b48_buttercup10109(X122)
=> ~ b48_buttercup10102(X122) ) ).
fof(sos_67,axiom,
! [X123] :
( b48_buttercup10109(X123)
=> ~ b48_buttercup10104(X123) ) ).
fof(sos_68,axiom,
! [X124] :
( b48_buttercup10109(X124)
=> ~ b48_buttercup10107(X124) ) ).
fof(sos_69,axiom,
! [X125] :
( b48_buttercup10109(X125)
=> ~ b48_buttercup10108(X125) ) ).
fof(sos_70,axiom,
! [X126] :
( b48_buttercup10109(X126)
=> ~ b48_buttercup10110(X126) ) ).
fof(sos_71,axiom,
! [X127] :
( b48_buttercup10109(X127)
=> ~ b48_buttercup10111(X127) ) ).
fof(sos_72,axiom,
! [X128] :
( b48_buttercup10110(X128)
=> ~ b48_buttercup10102(X128) ) ).
fof(sos_73,axiom,
! [X129] :
( b48_buttercup10110(X129)
=> ~ b48_buttercup10104(X129) ) ).
fof(sos_74,axiom,
! [X130] :
( b48_buttercup10110(X130)
=> ~ b48_buttercup10107(X130) ) ).
fof(sos_75,axiom,
! [X131] :
( b48_buttercup10110(X131)
=> ~ b48_buttercup10108(X131) ) ).
fof(sos_76,axiom,
! [X132] :
( b48_buttercup10110(X132)
=> ~ b48_buttercup10109(X132) ) ).
fof(sos_77,axiom,
! [X133] :
( b48_buttercup10110(X133)
=> ~ b48_buttercup10111(X133) ) ).
fof(sos_78,axiom,
! [X134] :
( b48_buttercup10111(X134)
=> ~ b48_buttercup10102(X134) ) ).
fof(sos_79,axiom,
! [X135] :
( b48_buttercup10111(X135)
=> ~ b48_buttercup10104(X135) ) ).
fof(sos_80,axiom,
! [X136] :
( b48_buttercup10111(X136)
=> ~ b48_buttercup10107(X136) ) ).
fof(sos_81,axiom,
! [X137] :
( b48_buttercup10111(X137)
=> ~ b48_buttercup10108(X137) ) ).
fof(sos_82,axiom,
! [X138] :
( b48_buttercup10111(X138)
=> ~ b48_buttercup10109(X138) ) ).
fof(sos_83,axiom,
! [X139] :
( b48_buttercup10111(X139)
=> ~ b48_buttercup10110(X139) ) ).
fof(sos_84,axiom,
! [X140] :
( k04_buttercup10619(X140)
=> ( k04_buttercup10620(X140)
| k04_buttercup10622(X140) ) ) ).
fof(sos_85,axiom,
! [X141] :
( b48_buttercup10098(X141)
=> ( b48_buttercup10102(X141)
| b48_buttercup10104(X141)
| b48_buttercup10107(X141)
| b48_buttercup10108(X141)
| b48_buttercup10109(X141)
| b48_buttercup10110(X141)
| b48_buttercup10111(X141) ) ) ).
fof(goals_86,conjecture,
( ( ! [X142] :
( b48_buttercup10098(X142)
=> k04_buttercup10100(X142) )
& ? [X143] :
( k04_buttercup10100(X143)
& ~ b48_buttercup10098(X143) ) )
| ( ! [X144] :
( k04_buttercup10100(X144)
=> b48_buttercup10098(X144) )
& ? [X145] :
( b48_buttercup10098(X145)
& ~ k04_buttercup10100(X145) ) )
| ? [X146,X147,X148] :
( k04_buttercup10100(X146)
& b48_buttercup10098(X146)
& k04_buttercup10100(X147)
& ~ b48_buttercup10098(X147)
& ~ k04_buttercup10100(X148)
& b48_buttercup10098(X148) )
| ! [X149] :
( k04_buttercup10100(X149)
=> ~ b48_buttercup10098(X149) ) ) ).
%------------------------------------------------------------------------------