%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN536+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:20:01 PM UTC 2026
% Result : CounterSatisfiable 0.16s 0.56s
% Output : Saturation 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ( ( ( ~ c5_2(a544,a545)
& ~ c1_2(a544,a545)
& c3_2(a544,a545)
& ndr1_1(a544)
& c1_1(a544)
& c4_1(a544)
& ndr1_0 )
| ! [X27] :
( ndr1_0
=> ( c1_1(X27)
| ( ~ c1_2(X27,a543)
& ~ c5_2(X27,a543)
& c2_2(X27,a543)
& ndr1_1(X27) ) ) )
| c1_0 )
& ( ! [X25] :
( ndr1_0
=> ( ( ~ c5_2(X25,a542)
& ~ c4_2(X25,a542)
& ~ c2_2(X25,a542)
& ndr1_1(X25) )
| ! [X26] :
( ndr1_1(X25)
=> ( c4_2(X25,X26)
| ~ c1_2(X25,X26) ) )
| ~ c2_1(X25) ) )
| ~ c5_0
| ~ c1_0 )
& ( ( ! [X24] :
( ndr1_1(a541)
=> ( c3_2(a541,X24)
| ~ c5_2(a541,X24)
| c2_2(a541,X24) ) )
& ! [X23] :
( ndr1_1(a541)
=> ( c3_2(a541,X23)
| ~ c4_2(a541,X23)
| c2_2(a541,X23) ) )
& ndr1_0 )
| c5_0
| ( ! [X22] :
( ndr1_1(a540)
=> ( c2_2(a540,X22)
| ~ c1_2(a540,X22)
| ~ c3_2(a540,X22) ) )
& ~ c4_1(a540)
& c3_1(a540)
& ndr1_0 ) )
& ( ! [X20] :
( ndr1_0
=> ( ( c5_2(X20,a539)
& c1_2(X20,a539)
& c2_2(X20,a539)
& ndr1_1(X20) )
| ! [X21] :
( ndr1_1(X20)
=> ( ~ c5_2(X20,X21)
| c3_2(X20,X21)
| ~ c1_2(X20,X21) ) )
| c4_1(X20) ) )
| ( ~ c5_1(a537)
& c3_2(a537,a538)
& c2_2(a537,a538)
& ndr1_1(a537)
& ndr1_0 )
| ~ c2_0 )
& ( ~ c3_0
| c2_0
| ( ~ c1_1(a536)
& ~ c5_1(a536)
& ! [X19] :
( ndr1_1(a536)
=> ( c2_2(a536,X19)
| c4_2(a536,X19) ) )
& ndr1_0 ) )
& ( ! [X17] :
( ndr1_0
=> ( c5_1(X17)
| ! [X18] :
( ndr1_1(X17)
=> ( ~ c3_2(X17,X18)
| c1_2(X17,X18)
| c4_2(X17,X18) ) ) ) )
| ! [X16] :
( ndr1_0
=> ( c4_1(X16)
| ( ~ c3_2(X16,a535)
& ~ c4_2(X16,a535)
& ndr1_1(X16) )
| c1_1(X16) ) )
| ~ c4_0 )
& ( ~ c3_0
| c5_0 )
& ( ! [X14] :
( ndr1_0
=> ( c5_1(X14)
| ! [X15] :
( ndr1_1(X14)
=> ( c2_2(X14,X15)
| c3_2(X14,X15) ) ) ) )
| ~ c3_0
| ~ c1_0 )
& ( ! [X12] :
( ndr1_0
=> ( c3_1(X12)
| ( ~ c3_2(X12,a534)
& c4_2(X12,a534)
& ndr1_1(X12) )
| ! [X13] :
( ndr1_1(X12)
=> ( c4_2(X12,X13)
| c1_2(X12,X13)
| c3_2(X12,X13) ) ) ) )
| ! [X11] :
( ndr1_0
=> ( c4_1(X11)
| c5_1(X11)
| c1_1(X11) ) )
| c5_0 )
& ( ~ c2_0
| ( ~ c3_1(a533)
& ! [X10] :
( ndr1_1(a533)
=> ( ~ c3_2(a533,X10)
| c5_2(a533,X10)
| c4_2(a533,X10) ) )
& ndr1_0 )
| ! [X9] :
( ndr1_0
=> ( c1_1(X9)
| ( ~ c5_2(X9,a532)
& ~ c3_2(X9,a532)
& c4_2(X9,a532)
& ndr1_1(X9) ) ) ) )
& ( c1_0
| ! [X8] :
( ndr1_0
=> ( ~ c5_1(X8)
| c2_1(X8) ) )
| ! [X4] :
( ndr1_0
=> ( ! [X7] :
( ndr1_1(X4)
=> ( c4_2(X4,X7)
| ~ c5_2(X4,X7)
| ~ c3_2(X4,X7) ) )
| ! [X6] :
( ndr1_1(X4)
=> ( c4_2(X4,X6)
| ~ c1_2(X4,X6) ) )
| ! [X5] :
( ndr1_1(X4)
=> ( ~ c3_2(X4,X5)
| c4_2(X4,X5)
| c2_2(X4,X5) ) ) ) ) )
& ( ~ c5_0
| c2_0 )
& ( ~ c4_0
| ( c5_2(a529,a531)
& c1_2(a529,a531)
& ndr1_1(a529)
& c1_2(a529,a530)
& c4_2(a529,a530)
& c5_2(a529,a530)
& ndr1_1(a529)
& c4_1(a529)
& ndr1_0 )
| ( ~ c3_1(a527)
& c1_2(a527,a528)
& ~ c3_2(a527,a528)
& ndr1_1(a527)
& c5_1(a527)
& ndr1_0 ) )
& ( ( c3_1(a525)
& c4_2(a525,a526)
& c2_2(a525,a526)
& ~ c1_2(a525,a526)
& ndr1_1(a525)
& ~ c2_1(a525)
& ndr1_0 )
| ~ c2_0 )
& ( c5_0
| c1_0
| c4_0 )
& ( ~ c3_0
| ! [X2] :
( ndr1_0
=> ( c4_1(X2)
| ( ~ c4_2(X2,a524)
& c5_2(X2,a524)
& c1_2(X2,a524)
& ndr1_1(X2) )
| ! [X3] :
( ndr1_1(X2)
=> ( ~ c3_2(X2,X3)
| ~ c2_2(X2,X3)
| ~ c1_2(X2,X3) ) ) ) )
| ! [Z] :
( ndr1_0
=> ( c4_1(Z)
| ! [X1] :
( ndr1_1(Z)
=> ( c3_2(Z,X1)
| c2_2(Z,X1)
| c1_2(Z,X1) ) )
| ( ~ c1_2(Z,a523)
& ~ c3_2(Z,a523)
& ndr1_1(Z) ) ) ) )
& ( ! [Y] :
( ndr1_0
=> ( c5_1(Y)
| ~ c3_1(Y)
| ( c2_2(Y,a522)
& c5_2(Y,a522)
& ndr1_1(Y) ) ) )
| ( ~ c1_1(a521)
& ! [X] :
( ndr1_1(a521)
=> ( ~ c5_2(a521,X)
| ~ c2_2(a521,X)
| c1_2(a521,X) ) )
& ~ c2_1(a521)
& ndr1_0 ) )
& ( c3_0
| c5_0
| ( c1_1(a520)
& ! [W] :
( ndr1_1(a520)
=> ( ~ c3_2(a520,W)
| ~ c5_2(a520,W)
| ~ c1_2(a520,W) ) )
& ~ c5_1(a520)
& ndr1_0 ) )
& ( c2_0
| ~ c4_0
| ! [U] :
( ndr1_0
=> ( ! [V] :
( ndr1_1(U)
=> ( ~ c2_2(U,V)
| c3_2(U,V) ) )
| c5_1(U) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ~ ( ( ( ~ c5_2(a544,a545)
& ~ c1_2(a544,a545)
& c3_2(a544,a545)
& ndr1_1(a544)
& c1_1(a544)
& c4_1(a544)
& ndr1_0 )
| ! [X27] :
( ndr1_0
=> ( c1_1(X27)
| ( ~ c1_2(X27,a543)
& ~ c5_2(X27,a543)
& c2_2(X27,a543)
& ndr1_1(X27) ) ) )
| c1_0 )
& ( ! [X25] :
( ndr1_0
=> ( ( ~ c5_2(X25,a542)
& ~ c4_2(X25,a542)
& ~ c2_2(X25,a542)
& ndr1_1(X25) )
| ! [X26] :
( ndr1_1(X25)
=> ( c4_2(X25,X26)
| ~ c1_2(X25,X26) ) )
| ~ c2_1(X25) ) )
| ~ c5_0
| ~ c1_0 )
& ( ( ! [X24] :
( ndr1_1(a541)
=> ( c3_2(a541,X24)
| ~ c5_2(a541,X24)
| c2_2(a541,X24) ) )
& ! [X23] :
( ndr1_1(a541)
=> ( c3_2(a541,X23)
| ~ c4_2(a541,X23)
| c2_2(a541,X23) ) )
& ndr1_0 )
| c5_0
| ( ! [X22] :
( ndr1_1(a540)
=> ( c2_2(a540,X22)
| ~ c1_2(a540,X22)
| ~ c3_2(a540,X22) ) )
& ~ c4_1(a540)
& c3_1(a540)
& ndr1_0 ) )
& ( ! [X20] :
( ndr1_0
=> ( ( c5_2(X20,a539)
& c1_2(X20,a539)
& c2_2(X20,a539)
& ndr1_1(X20) )
| ! [X21] :
( ndr1_1(X20)
=> ( ~ c5_2(X20,X21)
| c3_2(X20,X21)
| ~ c1_2(X20,X21) ) )
| c4_1(X20) ) )
| ( ~ c5_1(a537)
& c3_2(a537,a538)
& c2_2(a537,a538)
& ndr1_1(a537)
& ndr1_0 )
| ~ c2_0 )
& ( ~ c3_0
| c2_0
| ( ~ c1_1(a536)
& ~ c5_1(a536)
& ! [X19] :
( ndr1_1(a536)
=> ( c2_2(a536,X19)
| c4_2(a536,X19) ) )
& ndr1_0 ) )
& ( ! [X17] :
( ndr1_0
=> ( c5_1(X17)
| ! [X18] :
( ndr1_1(X17)
=> ( ~ c3_2(X17,X18)
| c1_2(X17,X18)
| c4_2(X17,X18) ) ) ) )
| ! [X16] :
( ndr1_0
=> ( c4_1(X16)
| ( ~ c3_2(X16,a535)
& ~ c4_2(X16,a535)
& ndr1_1(X16) )
| c1_1(X16) ) )
| ~ c4_0 )
& ( ~ c3_0
| c5_0 )
& ( ! [X14] :
( ndr1_0
=> ( c5_1(X14)
| ! [X15] :
( ndr1_1(X14)
=> ( c2_2(X14,X15)
| c3_2(X14,X15) ) ) ) )
| ~ c3_0
| ~ c1_0 )
& ( ! [X12] :
( ndr1_0
=> ( c3_1(X12)
| ( ~ c3_2(X12,a534)
& c4_2(X12,a534)
& ndr1_1(X12) )
| ! [X13] :
( ndr1_1(X12)
=> ( c4_2(X12,X13)
| c1_2(X12,X13)
| c3_2(X12,X13) ) ) ) )
| ! [X11] :
( ndr1_0
=> ( c4_1(X11)
| c5_1(X11)
| c1_1(X11) ) )
| c5_0 )
& ( ~ c2_0
| ( ~ c3_1(a533)
& ! [X10] :
( ndr1_1(a533)
=> ( ~ c3_2(a533,X10)
| c5_2(a533,X10)
| c4_2(a533,X10) ) )
& ndr1_0 )
| ! [X9] :
( ndr1_0
=> ( c1_1(X9)
| ( ~ c5_2(X9,a532)
& ~ c3_2(X9,a532)
& c4_2(X9,a532)
& ndr1_1(X9) ) ) ) )
& ( c1_0
| ! [X8] :
( ndr1_0
=> ( ~ c5_1(X8)
| c2_1(X8) ) )
| ! [X4] :
( ndr1_0
=> ( ! [X7] :
( ndr1_1(X4)
=> ( c4_2(X4,X7)
| ~ c5_2(X4,X7)
| ~ c3_2(X4,X7) ) )
| ! [X6] :
( ndr1_1(X4)
=> ( c4_2(X4,X6)
| ~ c1_2(X4,X6) ) )
| ! [X5] :
( ndr1_1(X4)
=> ( ~ c3_2(X4,X5)
| c4_2(X4,X5)
| c2_2(X4,X5) ) ) ) ) )
& ( ~ c5_0
| c2_0 )
& ( ~ c4_0
| ( c5_2(a529,a531)
& c1_2(a529,a531)
& ndr1_1(a529)
& c1_2(a529,a530)
& c4_2(a529,a530)
& c5_2(a529,a530)
& ndr1_1(a529)
& c4_1(a529)
& ndr1_0 )
| ( ~ c3_1(a527)
& c1_2(a527,a528)
& ~ c3_2(a527,a528)
& ndr1_1(a527)
& c5_1(a527)
& ndr1_0 ) )
& ( ( c3_1(a525)
& c4_2(a525,a526)
& c2_2(a525,a526)
& ~ c1_2(a525,a526)
& ndr1_1(a525)
& ~ c2_1(a525)
& ndr1_0 )
| ~ c2_0 )
& ( c5_0
| c1_0
| c4_0 )
& ( ~ c3_0
| ! [X2] :
( ndr1_0
=> ( c4_1(X2)
| ( ~ c4_2(X2,a524)
& c5_2(X2,a524)
& c1_2(X2,a524)
& ndr1_1(X2) )
| ! [X3] :
( ndr1_1(X2)
=> ( ~ c3_2(X2,X3)
| ~ c2_2(X2,X3)
| ~ c1_2(X2,X3) ) ) ) )
| ! [Z] :
( ndr1_0
=> ( c4_1(Z)
| ! [X1] :
( ndr1_1(Z)
=> ( c3_2(Z,X1)
| c2_2(Z,X1)
| c1_2(Z,X1) ) )
| ( ~ c1_2(Z,a523)
& ~ c3_2(Z,a523)
& ndr1_1(Z) ) ) ) )
& ( ! [Y] :
( ndr1_0
=> ( c5_1(Y)
| ~ c3_1(Y)
| ( c2_2(Y,a522)
& c5_2(Y,a522)
& ndr1_1(Y) ) ) )
| ( ~ c1_1(a521)
& ! [X] :
( ndr1_1(a521)
=> ( ~ c5_2(a521,X)
| ~ c2_2(a521,X)
| c1_2(a521,X) ) )
& ~ c2_1(a521)
& ndr1_0 ) )
& ( c3_0
| c5_0
| ( c1_1(a520)
& ! [W] :
( ndr1_1(a520)
=> ( ~ c3_2(a520,W)
| ~ c5_2(a520,W)
| ~ c1_2(a520,W) ) )
& ~ c5_1(a520)
& ndr1_0 ) )
& ( c2_0
| ~ c4_0
| ! [U] :
( ndr1_0
=> ( ! [V] :
( ndr1_1(U)
=> ( ~ c2_2(U,V)
| c3_2(U,V) ) )
| c5_1(U) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( ( ~ c5_2(a544,a545)
& ~ c1_2(a544,a545)
& c3_2(a544,a545)
& ndr1_1(a544)
& c1_1(a544)
& c4_1(a544)
& ndr1_0 )
| ! [X27] :
( c1_1(X27)
| ( ~ c1_2(X27,a543)
& ~ c5_2(X27,a543)
& c2_2(X27,a543)
& ndr1_1(X27) )
| ~ ndr1_0 )
| c1_0 )
& ( ! [X25] :
( ( ~ c5_2(X25,a542)
& ~ c4_2(X25,a542)
& ~ c2_2(X25,a542)
& ndr1_1(X25) )
| ! [X26] :
( c4_2(X25,X26)
| ~ c1_2(X25,X26)
| ~ ndr1_1(X25) )
| ~ c2_1(X25)
| ~ ndr1_0 )
| ~ c5_0
| ~ c1_0 )
& ( ( ! [X24] :
( c3_2(a541,X24)
| ~ c5_2(a541,X24)
| c2_2(a541,X24)
| ~ ndr1_1(a541) )
& ! [X23] :
( c3_2(a541,X23)
| ~ c4_2(a541,X23)
| c2_2(a541,X23)
| ~ ndr1_1(a541) )
& ndr1_0 )
| c5_0
| ( ! [X22] :
( c2_2(a540,X22)
| ~ c1_2(a540,X22)
| ~ c3_2(a540,X22)
| ~ ndr1_1(a540) )
& ~ c4_1(a540)
& c3_1(a540)
& ndr1_0 ) )
& ( ! [X20] :
( ( c5_2(X20,a539)
& c1_2(X20,a539)
& c2_2(X20,a539)
& ndr1_1(X20) )
| ! [X21] :
( ~ c5_2(X20,X21)
| c3_2(X20,X21)
| ~ c1_2(X20,X21)
| ~ ndr1_1(X20) )
| c4_1(X20)
| ~ ndr1_0 )
| ( ~ c5_1(a537)
& c3_2(a537,a538)
& c2_2(a537,a538)
& ndr1_1(a537)
& ndr1_0 )
| ~ c2_0 )
& ( ~ c3_0
| c2_0
| ( ~ c1_1(a536)
& ~ c5_1(a536)
& ! [X19] :
( c2_2(a536,X19)
| c4_2(a536,X19)
| ~ ndr1_1(a536) )
& ndr1_0 ) )
& ( ! [X17] :
( c5_1(X17)
| ! [X18] :
( ~ c3_2(X17,X18)
| c1_2(X17,X18)
| c4_2(X17,X18)
| ~ ndr1_1(X17) )
| ~ ndr1_0 )
| ! [X16] :
( c4_1(X16)
| ( ~ c3_2(X16,a535)
& ~ c4_2(X16,a535)
& ndr1_1(X16) )
| c1_1(X16)
| ~ ndr1_0 )
| ~ c4_0 )
& ( ~ c3_0
| c5_0 )
& ( ! [X14] :
( c5_1(X14)
| ! [X15] :
( c2_2(X14,X15)
| c3_2(X14,X15)
| ~ ndr1_1(X14) )
| ~ ndr1_0 )
| ~ c3_0
| ~ c1_0 )
& ( ! [X12] :
( c3_1(X12)
| ( ~ c3_2(X12,a534)
& c4_2(X12,a534)
& ndr1_1(X12) )
| ! [X13] :
( c4_2(X12,X13)
| c1_2(X12,X13)
| c3_2(X12,X13)
| ~ ndr1_1(X12) )
| ~ ndr1_0 )
| ! [X11] :
( c4_1(X11)
| c5_1(X11)
| c1_1(X11)
| ~ ndr1_0 )
| c5_0 )
& ( ~ c2_0
| ( ~ c3_1(a533)
& ! [X10] :
( ~ c3_2(a533,X10)
| c5_2(a533,X10)
| c4_2(a533,X10)
| ~ ndr1_1(a533) )
& ndr1_0 )
| ! [X9] :
( c1_1(X9)
| ( ~ c5_2(X9,a532)
& ~ c3_2(X9,a532)
& c4_2(X9,a532)
& ndr1_1(X9) )
| ~ ndr1_0 ) )
& ( c1_0
| ! [X8] :
( ~ c5_1(X8)
| c2_1(X8)
| ~ ndr1_0 )
| ! [X4] :
( ! [X7] :
( c4_2(X4,X7)
| ~ c5_2(X4,X7)
| ~ c3_2(X4,X7)
| ~ ndr1_1(X4) )
| ! [X6] :
( c4_2(X4,X6)
| ~ c1_2(X4,X6)
| ~ ndr1_1(X4) )
| ! [X5] :
( ~ c3_2(X4,X5)
| c4_2(X4,X5)
| c2_2(X4,X5)
| ~ ndr1_1(X4) )
| ~ ndr1_0 ) )
& ( ~ c5_0
| c2_0 )
& ( ~ c4_0
| ( c5_2(a529,a531)
& c1_2(a529,a531)
& ndr1_1(a529)
& c1_2(a529,a530)
& c4_2(a529,a530)
& c5_2(a529,a530)
& ndr1_1(a529)
& c4_1(a529)
& ndr1_0 )
| ( ~ c3_1(a527)
& c1_2(a527,a528)
& ~ c3_2(a527,a528)
& ndr1_1(a527)
& c5_1(a527)
& ndr1_0 ) )
& ( ( c3_1(a525)
& c4_2(a525,a526)
& c2_2(a525,a526)
& ~ c1_2(a525,a526)
& ndr1_1(a525)
& ~ c2_1(a525)
& ndr1_0 )
| ~ c2_0 )
& ( c5_0
| c1_0
| c4_0 )
& ( ~ c3_0
| ! [X2] :
( c4_1(X2)
| ( ~ c4_2(X2,a524)
& c5_2(X2,a524)
& c1_2(X2,a524)
& ndr1_1(X2) )
| ! [X3] :
( ~ c3_2(X2,X3)
| ~ c2_2(X2,X3)
| ~ c1_2(X2,X3)
| ~ ndr1_1(X2) )
| ~ ndr1_0 )
| ! [Z] :
( c4_1(Z)
| ! [X1] :
( c3_2(Z,X1)
| c2_2(Z,X1)
| c1_2(Z,X1)
| ~ ndr1_1(Z) )
| ( ~ c1_2(Z,a523)
& ~ c3_2(Z,a523)
& ndr1_1(Z) )
| ~ ndr1_0 ) )
& ( ! [Y] :
( c5_1(Y)
| ~ c3_1(Y)
| ( c2_2(Y,a522)
& c5_2(Y,a522)
& ndr1_1(Y) )
| ~ ndr1_0 )
| ( ~ c1_1(a521)
& ! [X] :
( ~ c5_2(a521,X)
| ~ c2_2(a521,X)
| c1_2(a521,X)
| ~ ndr1_1(a521) )
& ~ c2_1(a521)
& ndr1_0 ) )
& ( c3_0
| c5_0
| ( c1_1(a520)
& ! [W] :
( ~ c3_2(a520,W)
| ~ c5_2(a520,W)
| ~ c1_2(a520,W)
| ~ ndr1_1(a520) )
& ~ c5_1(a520)
& ndr1_0 ) )
& ( c2_0
| ~ c4_0
| ! [U] :
( ! [V] :
( ~ c2_2(U,V)
| c3_2(U,V)
| ~ ndr1_1(U) )
| c5_1(U)
| ~ ndr1_0 ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,definition,
! [Y] :
( sP0_prd(Y)
<=> ( c5_1(Y)
| ~ c3_1(Y)
| ( c2_2(Y,a522)
& c5_2(Y,a522)
& ndr1_1(Y) ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f5,definition,
( sP1_prd
<=> ( ~ c3_1(a527)
& c1_2(a527,a528)
& ~ c3_2(a527,a528)
& ndr1_1(a527)
& c5_1(a527)
& ndr1_0 ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f6,definition,
! [X9] :
( sP2_prd(X9)
<=> ( c1_1(X9)
| ( ~ c5_2(X9,a532)
& ~ c3_2(X9,a532)
& c4_2(X9,a532)
& ndr1_1(X9) ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f7,definition,
( sP3_prd
<=> ( c5_0
| ( ! [X22] :
( c2_2(a540,X22)
| ~ c1_2(a540,X22)
| ~ c3_2(a540,X22)
| ~ ndr1_1(a540) )
& ~ c4_1(a540)
& c3_1(a540)
& ndr1_0 ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f8,definition,
! [X27] :
( sP4_prd(X27)
<=> ( c1_1(X27)
| ( ~ c1_2(X27,a543)
& ~ c5_2(X27,a543)
& c2_2(X27,a543)
& ndr1_1(X27) ) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f9,plain,
( ( ( ~ c5_2(a544,a545)
& ~ c1_2(a544,a545)
& c3_2(a544,a545)
& ndr1_1(a544)
& c1_1(a544)
& c4_1(a544)
& ndr1_0 )
| ! [X27] :
( sP4_prd(X27)
| ~ ndr1_0 )
| c1_0 )
& ( ! [X25] :
( ( ~ c5_2(X25,a542)
& ~ c4_2(X25,a542)
& ~ c2_2(X25,a542)
& ndr1_1(X25) )
| ! [X26] :
( c4_2(X25,X26)
| ~ c1_2(X25,X26)
| ~ ndr1_1(X25) )
| ~ c2_1(X25)
| ~ ndr1_0 )
| ~ c5_0
| ~ c1_0 )
& ( ( ! [X24] :
( c3_2(a541,X24)
| ~ c5_2(a541,X24)
| c2_2(a541,X24)
| ~ ndr1_1(a541) )
& ! [X23] :
( c3_2(a541,X23)
| ~ c4_2(a541,X23)
| c2_2(a541,X23)
| ~ ndr1_1(a541) )
& ndr1_0 )
| sP3_prd )
& ( ! [X20] :
( ( c5_2(X20,a539)
& c1_2(X20,a539)
& c2_2(X20,a539)
& ndr1_1(X20) )
| ! [X21] :
( ~ c5_2(X20,X21)
| c3_2(X20,X21)
| ~ c1_2(X20,X21)
| ~ ndr1_1(X20) )
| c4_1(X20)
| ~ ndr1_0 )
| ( ~ c5_1(a537)
& c3_2(a537,a538)
& c2_2(a537,a538)
& ndr1_1(a537)
& ndr1_0 )
| ~ c2_0 )
& ( ~ c3_0
| c2_0
| ( ~ c1_1(a536)
& ~ c5_1(a536)
& ! [X19] :
( c2_2(a536,X19)
| c4_2(a536,X19)
| ~ ndr1_1(a536) )
& ndr1_0 ) )
& ( ! [X17] :
( c5_1(X17)
| ! [X18] :
( ~ c3_2(X17,X18)
| c1_2(X17,X18)
| c4_2(X17,X18)
| ~ ndr1_1(X17) )
| ~ ndr1_0 )
| ! [X16] :
( c4_1(X16)
| ( ~ c3_2(X16,a535)
& ~ c4_2(X16,a535)
& ndr1_1(X16) )
| c1_1(X16)
| ~ ndr1_0 )
| ~ c4_0 )
& ( ~ c3_0
| c5_0 )
& ( ! [X14] :
( c5_1(X14)
| ! [X15] :
( c2_2(X14,X15)
| c3_2(X14,X15)
| ~ ndr1_1(X14) )
| ~ ndr1_0 )
| ~ c3_0
| ~ c1_0 )
& ( ! [X12] :
( c3_1(X12)
| ( ~ c3_2(X12,a534)
& c4_2(X12,a534)
& ndr1_1(X12) )
| ! [X13] :
( c4_2(X12,X13)
| c1_2(X12,X13)
| c3_2(X12,X13)
| ~ ndr1_1(X12) )
| ~ ndr1_0 )
| ! [X11] :
( c4_1(X11)
| c5_1(X11)
| c1_1(X11)
| ~ ndr1_0 )
| c5_0 )
& ( ~ c2_0
| ( ~ c3_1(a533)
& ! [X10] :
( ~ c3_2(a533,X10)
| c5_2(a533,X10)
| c4_2(a533,X10)
| ~ ndr1_1(a533) )
& ndr1_0 )
| ! [X9] :
( sP2_prd(X9)
| ~ ndr1_0 ) )
& ( c1_0
| ! [X8] :
( ~ c5_1(X8)
| c2_1(X8)
| ~ ndr1_0 )
| ! [X4] :
( ! [X7] :
( c4_2(X4,X7)
| ~ c5_2(X4,X7)
| ~ c3_2(X4,X7)
| ~ ndr1_1(X4) )
| ! [X6] :
( c4_2(X4,X6)
| ~ c1_2(X4,X6)
| ~ ndr1_1(X4) )
| ! [X5] :
( ~ c3_2(X4,X5)
| c4_2(X4,X5)
| c2_2(X4,X5)
| ~ ndr1_1(X4) )
| ~ ndr1_0 ) )
& ( ~ c5_0
| c2_0 )
& ( ~ c4_0
| ( c5_2(a529,a531)
& c1_2(a529,a531)
& ndr1_1(a529)
& c1_2(a529,a530)
& c4_2(a529,a530)
& c5_2(a529,a530)
& ndr1_1(a529)
& c4_1(a529)
& ndr1_0 )
| sP1_prd )
& ( ( c3_1(a525)
& c4_2(a525,a526)
& c2_2(a525,a526)
& ~ c1_2(a525,a526)
& ndr1_1(a525)
& ~ c2_1(a525)
& ndr1_0 )
| ~ c2_0 )
& ( c5_0
| c1_0
| c4_0 )
& ( ~ c3_0
| ! [X2] :
( c4_1(X2)
| ( ~ c4_2(X2,a524)
& c5_2(X2,a524)
& c1_2(X2,a524)
& ndr1_1(X2) )
| ! [X3] :
( ~ c3_2(X2,X3)
| ~ c2_2(X2,X3)
| ~ c1_2(X2,X3)
| ~ ndr1_1(X2) )
| ~ ndr1_0 )
| ! [Z] :
( c4_1(Z)
| ! [X1] :
( c3_2(Z,X1)
| c2_2(Z,X1)
| c1_2(Z,X1)
| ~ ndr1_1(Z) )
| ( ~ c1_2(Z,a523)
& ~ c3_2(Z,a523)
& ndr1_1(Z) )
| ~ ndr1_0 ) )
& ( ! [Y] :
( sP0_prd(Y)
| ~ ndr1_0 )
| ( ~ c1_1(a521)
& ! [X] :
( ~ c5_2(a521,X)
| ~ c2_2(a521,X)
| c1_2(a521,X)
| ~ ndr1_1(a521) )
& ~ c2_1(a521)
& ndr1_0 ) )
& ( c3_0
| c5_0
| ( c1_1(a520)
& ! [W] :
( ~ c3_2(a520,W)
| ~ c5_2(a520,W)
| ~ c1_2(a520,W)
| ~ ndr1_1(a520) )
& ~ c5_1(a520)
& ndr1_0 ) )
& ( c2_0
| ~ c4_0
| ! [U] :
( ! [V] :
( ~ c2_2(U,V)
| c3_2(U,V)
| ~ ndr1_1(U) )
| c5_1(U)
| ~ ndr1_0 ) ) ),
inference(formula_renaming,[status(thm)],[f3,f8,f7,f6,f5,f4]) ).
fof(f10,plain,
( ( ( ~ c5_2(a544,a545)
& ~ c1_2(a544,a545)
& c3_2(a544,a545)
& ndr1_1(a544)
& c1_1(a544)
& c4_1(a544)
& ndr1_0 )
| ! [X27] : sP4_prd(X27)
| ~ ndr1_0
| c1_0 )
& ( ! [X25] :
( ( ~ c5_2(X25,a542)
& ~ c4_2(X25,a542)
& ~ c2_2(X25,a542)
& ndr1_1(X25) )
| ! [X26] :
( c4_2(X25,X26)
| ~ c1_2(X25,X26) )
| ~ ndr1_1(X25)
| ~ c2_1(X25) )
| ~ ndr1_0
| ~ c5_0
| ~ c1_0 )
& ( ( ( ! [X24] :
( c3_2(a541,X24)
| ~ c5_2(a541,X24)
| c2_2(a541,X24) )
| ~ ndr1_1(a541) )
& ( ! [X23] :
( c3_2(a541,X23)
| ~ c4_2(a541,X23)
| c2_2(a541,X23) )
| ~ ndr1_1(a541) )
& ndr1_0 )
| sP3_prd )
& ( ! [X20] :
( ( c5_2(X20,a539)
& c1_2(X20,a539)
& c2_2(X20,a539)
& ndr1_1(X20) )
| ! [X21] :
( ~ c5_2(X20,X21)
| c3_2(X20,X21)
| ~ c1_2(X20,X21) )
| ~ ndr1_1(X20)
| c4_1(X20) )
| ~ ndr1_0
| ( ~ c5_1(a537)
& c3_2(a537,a538)
& c2_2(a537,a538)
& ndr1_1(a537)
& ndr1_0 )
| ~ c2_0 )
& ( ~ c3_0
| c2_0
| ( ~ c1_1(a536)
& ~ c5_1(a536)
& ( ! [X19] :
( c2_2(a536,X19)
| c4_2(a536,X19) )
| ~ ndr1_1(a536) )
& ndr1_0 ) )
& ( ! [X17] :
( c5_1(X17)
| ! [X18] :
( ~ c3_2(X17,X18)
| c1_2(X17,X18)
| c4_2(X17,X18) )
| ~ ndr1_1(X17) )
| ~ ndr1_0
| ! [X16] :
( c4_1(X16)
| ( ~ c3_2(X16,a535)
& ~ c4_2(X16,a535)
& ndr1_1(X16) )
| c1_1(X16) )
| ~ ndr1_0
| ~ c4_0 )
& ( ~ c3_0
| c5_0 )
& ( ! [X14] :
( c5_1(X14)
| ! [X15] :
( c2_2(X14,X15)
| c3_2(X14,X15) )
| ~ ndr1_1(X14) )
| ~ ndr1_0
| ~ c3_0
| ~ c1_0 )
& ( ! [X12] :
( c3_1(X12)
| ( ~ c3_2(X12,a534)
& c4_2(X12,a534)
& ndr1_1(X12) )
| ! [X13] :
( c4_2(X12,X13)
| c1_2(X12,X13)
| c3_2(X12,X13) )
| ~ ndr1_1(X12) )
| ~ ndr1_0
| ! [X11] :
( c4_1(X11)
| c5_1(X11)
| c1_1(X11) )
| ~ ndr1_0
| c5_0 )
& ( ~ c2_0
| ( ~ c3_1(a533)
& ( ! [X10] :
( ~ c3_2(a533,X10)
| c5_2(a533,X10)
| c4_2(a533,X10) )
| ~ ndr1_1(a533) )
& ndr1_0 )
| ! [X9] : sP2_prd(X9)
| ~ ndr1_0 )
& ( c1_0
| ! [X8] :
( ~ c5_1(X8)
| c2_1(X8) )
| ~ ndr1_0
| ! [X4] :
( ! [X7] :
( c4_2(X4,X7)
| ~ c5_2(X4,X7)
| ~ c3_2(X4,X7) )
| ~ ndr1_1(X4)
| ! [X6] :
( c4_2(X4,X6)
| ~ c1_2(X4,X6) )
| ~ ndr1_1(X4)
| ! [X5] :
( ~ c3_2(X4,X5)
| c4_2(X4,X5)
| c2_2(X4,X5) )
| ~ ndr1_1(X4) )
| ~ ndr1_0 )
& ( ~ c5_0
| c2_0 )
& ( ~ c4_0
| ( c5_2(a529,a531)
& c1_2(a529,a531)
& ndr1_1(a529)
& c1_2(a529,a530)
& c4_2(a529,a530)
& c5_2(a529,a530)
& ndr1_1(a529)
& c4_1(a529)
& ndr1_0 )
| sP1_prd )
& ( ( c3_1(a525)
& c4_2(a525,a526)
& c2_2(a525,a526)
& ~ c1_2(a525,a526)
& ndr1_1(a525)
& ~ c2_1(a525)
& ndr1_0 )
| ~ c2_0 )
& ( c5_0
| c1_0
| c4_0 )
& ( ~ c3_0
| ! [X2] :
( c4_1(X2)
| ( ~ c4_2(X2,a524)
& c5_2(X2,a524)
& c1_2(X2,a524)
& ndr1_1(X2) )
| ! [X3] :
( ~ c3_2(X2,X3)
| ~ c2_2(X2,X3)
| ~ c1_2(X2,X3) )
| ~ ndr1_1(X2) )
| ~ ndr1_0
| ! [Z] :
( c4_1(Z)
| ! [X1] :
( c3_2(Z,X1)
| c2_2(Z,X1)
| c1_2(Z,X1) )
| ~ ndr1_1(Z)
| ( ~ c1_2(Z,a523)
& ~ c3_2(Z,a523)
& ndr1_1(Z) ) )
| ~ ndr1_0 )
& ( ! [Y] : sP0_prd(Y)
| ~ ndr1_0
| ( ~ c1_1(a521)
& ( ! [X] :
( ~ c5_2(a521,X)
| ~ c2_2(a521,X)
| c1_2(a521,X) )
| ~ ndr1_1(a521) )
& ~ c2_1(a521)
& ndr1_0 ) )
& ( c3_0
| c5_0
| ( c1_1(a520)
& ( ! [W] :
( ~ c3_2(a520,W)
| ~ c5_2(a520,W)
| ~ c1_2(a520,W) )
| ~ ndr1_1(a520) )
& ~ c5_1(a520)
& ndr1_0 ) )
& ( c2_0
| ~ c4_0
| ! [U] :
( ! [V] :
( ~ c2_2(U,V)
| c3_2(U,V) )
| ~ ndr1_1(U)
| c5_1(U) )
| ~ ndr1_0 ) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f11,plain,
! [X0,X1] :
( c2_0
| ~ c4_0
| ~ c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| c5_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f12,plain,
( c3_0
| c5_0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f13,plain,
( c3_0
| c5_0
| ~ c5_1(a520) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f14,plain,
! [X0] :
( c3_0
| c5_0
| ~ c3_2(a520,X0)
| ~ c5_2(a520,X0)
| ~ c1_2(a520,X0)
| ~ ndr1_1(a520) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f15,plain,
( c3_0
| c5_0
| c1_1(a520) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f17,plain,
! [X0] :
( sP0_prd(X0)
| ~ ndr1_0
| ~ c2_1(a521) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f18,plain,
! [X0,X1] :
( sP0_prd(X1)
| ~ ndr1_0
| ~ c5_2(a521,X0)
| ~ c2_2(a521,X0)
| c1_2(a521,X0)
| ~ ndr1_1(a521) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f19,plain,
! [X0] :
( sP0_prd(X0)
| ~ ndr1_0
| ~ c1_1(a521) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f20,plain,
! [X0,X1,X2,X3] :
( ~ c3_0
| c4_1(X2)
| ndr1_1(X2)
| ~ c3_2(X2,X3)
| ~ c2_2(X2,X3)
| ~ c1_2(X2,X3)
| ~ ndr1_1(X2)
| ~ ndr1_0
| c4_1(X0)
| c3_2(X0,X1)
| c2_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_1(X0)
| ndr1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f21,plain,
! [X0,X1,X2,X3] :
( ~ c3_0
| c4_1(X2)
| c1_2(X2,a524)
| ~ c3_2(X2,X3)
| ~ c2_2(X2,X3)
| ~ c1_2(X2,X3)
| ~ ndr1_1(X2)
| ~ ndr1_0
| c4_1(X0)
| c3_2(X0,X1)
| c2_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_1(X0)
| ndr1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f22,plain,
! [X0,X1,X2,X3] :
( ~ c3_0
| c4_1(X2)
| c5_2(X2,a524)
| ~ c3_2(X2,X3)
| ~ c2_2(X2,X3)
| ~ c1_2(X2,X3)
| ~ ndr1_1(X2)
| ~ ndr1_0
| c4_1(X0)
| c3_2(X0,X1)
| c2_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_1(X0)
| ndr1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f23,plain,
! [X0,X1,X2,X3] :
( ~ c3_0
| c4_1(X2)
| ~ c4_2(X2,a524)
| ~ c3_2(X2,X3)
| ~ c2_2(X2,X3)
| ~ c1_2(X2,X3)
| ~ ndr1_1(X2)
| ~ ndr1_0
| c4_1(X0)
| c3_2(X0,X1)
| c2_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_1(X0)
| ndr1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f24,plain,
! [X0,X1,X2,X3] :
( ~ c3_0
| c4_1(X2)
| ndr1_1(X2)
| ~ c3_2(X2,X3)
| ~ c2_2(X2,X3)
| ~ c1_2(X2,X3)
| ~ ndr1_1(X2)
| ~ ndr1_0
| c4_1(X0)
| c3_2(X0,X1)
| c2_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c3_2(X0,a523)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f25,plain,
! [X0,X1,X2,X3] :
( ~ c3_0
| c4_1(X2)
| c1_2(X2,a524)
| ~ c3_2(X2,X3)
| ~ c2_2(X2,X3)
| ~ c1_2(X2,X3)
| ~ ndr1_1(X2)
| ~ ndr1_0
| c4_1(X0)
| c3_2(X0,X1)
| c2_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c3_2(X0,a523)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f26,plain,
! [X0,X1,X2,X3] :
( ~ c3_0
| c4_1(X2)
| c5_2(X2,a524)
| ~ c3_2(X2,X3)
| ~ c2_2(X2,X3)
| ~ c1_2(X2,X3)
| ~ ndr1_1(X2)
| ~ ndr1_0
| c4_1(X0)
| c3_2(X0,X1)
| c2_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c3_2(X0,a523)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f27,plain,
! [X0,X1,X2,X3] :
( ~ c3_0
| c4_1(X2)
| ~ c4_2(X2,a524)
| ~ c3_2(X2,X3)
| ~ c2_2(X2,X3)
| ~ c1_2(X2,X3)
| ~ ndr1_1(X2)
| ~ ndr1_0
| c4_1(X0)
| c3_2(X0,X1)
| c2_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c3_2(X0,a523)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f28,plain,
! [X0,X1,X2,X3] :
( ~ c3_0
| c4_1(X2)
| ndr1_1(X2)
| ~ c3_2(X2,X3)
| ~ c2_2(X2,X3)
| ~ c1_2(X2,X3)
| ~ ndr1_1(X2)
| ~ ndr1_0
| c4_1(X0)
| c3_2(X0,X1)
| c2_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_2(X0,a523)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f29,plain,
! [X0,X1,X2,X3] :
( ~ c3_0
| c4_1(X2)
| c1_2(X2,a524)
| ~ c3_2(X2,X3)
| ~ c2_2(X2,X3)
| ~ c1_2(X2,X3)
| ~ ndr1_1(X2)
| ~ ndr1_0
| c4_1(X0)
| c3_2(X0,X1)
| c2_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_2(X0,a523)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f30,plain,
! [X0,X1,X2,X3] :
( ~ c3_0
| c4_1(X2)
| c5_2(X2,a524)
| ~ c3_2(X2,X3)
| ~ c2_2(X2,X3)
| ~ c1_2(X2,X3)
| ~ ndr1_1(X2)
| ~ ndr1_0
| c4_1(X0)
| c3_2(X0,X1)
| c2_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_2(X0,a523)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f31,plain,
! [X0,X1,X2,X3] :
( ~ c3_0
| c4_1(X2)
| ~ c4_2(X2,a524)
| ~ c3_2(X2,X3)
| ~ c2_2(X2,X3)
| ~ c1_2(X2,X3)
| ~ ndr1_1(X2)
| ~ ndr1_0
| c4_1(X0)
| c3_2(X0,X1)
| c2_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_2(X0,a523)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f32,plain,
( c5_0
| c1_0
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f33,plain,
( ndr1_0
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f34,plain,
( ~ c2_1(a525)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f35,plain,
( ndr1_1(a525)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f36,plain,
( ~ c1_2(a525,a526)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f37,plain,
( c2_2(a525,a526)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f38,plain,
( c4_2(a525,a526)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f39,plain,
( c3_1(a525)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f40,plain,
( ~ c4_0
| ndr1_0
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f41,plain,
( ~ c4_0
| c4_1(a529)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f42,plain,
( ~ c4_0
| ndr1_1(a529)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f43,plain,
( ~ c4_0
| c5_2(a529,a530)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f44,plain,
( ~ c4_0
| c4_2(a529,a530)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f45,plain,
( ~ c4_0
| c1_2(a529,a530)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f47,plain,
( ~ c4_0
| c1_2(a529,a531)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f48,plain,
( ~ c4_0
| c5_2(a529,a531)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f49,plain,
( ~ c5_0
| c2_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f50,plain,
! [X0,X1,X2,X3,X4] :
( c1_0
| ~ c5_1(X4)
| c2_1(X4)
| ~ ndr1_0
| c4_2(X0,X3)
| ~ c5_2(X0,X3)
| ~ c3_2(X0,X3)
| ~ ndr1_1(X0)
| c4_2(X0,X2)
| ~ c1_2(X0,X2)
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1)
| c4_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f52,plain,
! [X0,X1] :
( ~ c2_0
| ~ c3_2(a533,X1)
| c5_2(a533,X1)
| c4_2(a533,X1)
| ~ ndr1_1(a533)
| sP2_prd(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f53,plain,
! [X0] :
( ~ c2_0
| ~ c3_1(a533)
| sP2_prd(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f54,plain,
! [X0,X1,X2] :
( c3_1(X1)
| ndr1_1(X1)
| c4_2(X1,X2)
| c1_2(X1,X2)
| c3_2(X1,X2)
| ~ ndr1_1(X1)
| ~ ndr1_0
| c4_1(X0)
| c5_1(X0)
| c1_1(X0)
| ~ ndr1_0
| c5_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f55,plain,
! [X0,X1,X2] :
( c3_1(X1)
| c4_2(X1,a534)
| c4_2(X1,X2)
| c1_2(X1,X2)
| c3_2(X1,X2)
| ~ ndr1_1(X1)
| ~ ndr1_0
| c4_1(X0)
| c5_1(X0)
| c1_1(X0)
| ~ ndr1_0
| c5_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f56,plain,
! [X0,X1,X2] :
( c3_1(X1)
| ~ c3_2(X1,a534)
| c4_2(X1,X2)
| c1_2(X1,X2)
| c3_2(X1,X2)
| ~ ndr1_1(X1)
| ~ ndr1_0
| c4_1(X0)
| c5_1(X0)
| c1_1(X0)
| ~ ndr1_0
| c5_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f57,plain,
! [X0,X1] :
( c5_1(X0)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0
| ~ c3_0
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f58,plain,
( ~ c3_0
| c5_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f59,plain,
! [X0,X1,X2] :
( c5_1(X1)
| ~ c3_2(X1,X2)
| c1_2(X1,X2)
| c4_2(X1,X2)
| ~ ndr1_1(X1)
| ~ ndr1_0
| c4_1(X0)
| ndr1_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f60,plain,
! [X0,X1,X2] :
( c5_1(X1)
| ~ c3_2(X1,X2)
| c1_2(X1,X2)
| c4_2(X1,X2)
| ~ ndr1_1(X1)
| ~ ndr1_0
| c4_1(X0)
| ~ c4_2(X0,a535)
| c1_1(X0)
| ~ ndr1_0
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f61,plain,
! [X0,X1,X2] :
( c5_1(X1)
| ~ c3_2(X1,X2)
| c1_2(X1,X2)
| c4_2(X1,X2)
| ~ ndr1_1(X1)
| ~ ndr1_0
| c4_1(X0)
| ~ c3_2(X0,a535)
| c1_1(X0)
| ~ ndr1_0
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f62,plain,
( ~ c3_0
| c2_0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f63,plain,
! [X0] :
( ~ c3_0
| c2_0
| c2_2(a536,X0)
| c4_2(a536,X0)
| ~ ndr1_1(a536) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f64,plain,
( ~ c3_0
| c2_0
| ~ c5_1(a536) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f65,plain,
( ~ c3_0
| c2_0
| ~ c1_1(a536) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f70,plain,
! [X0,X1] :
( ndr1_1(X0)
| ~ c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| c4_1(X0)
| ~ ndr1_0
| ndr1_1(a537)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f71,plain,
! [X0,X1] :
( c2_2(X0,a539)
| ~ c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| c4_1(X0)
| ~ ndr1_0
| ndr1_1(a537)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f72,plain,
! [X0,X1] :
( c1_2(X0,a539)
| ~ c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| c4_1(X0)
| ~ ndr1_0
| ndr1_1(a537)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f73,plain,
! [X0,X1] :
( c5_2(X0,a539)
| ~ c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| c4_1(X0)
| ~ ndr1_0
| ndr1_1(a537)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f74,plain,
! [X0,X1] :
( ndr1_1(X0)
| ~ c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| c4_1(X0)
| ~ ndr1_0
| c2_2(a537,a538)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f75,plain,
! [X0,X1] :
( c2_2(X0,a539)
| ~ c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| c4_1(X0)
| ~ ndr1_0
| c2_2(a537,a538)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f76,plain,
! [X0,X1] :
( c1_2(X0,a539)
| ~ c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| c4_1(X0)
| ~ ndr1_0
| c2_2(a537,a538)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f77,plain,
! [X0,X1] :
( c5_2(X0,a539)
| ~ c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| c4_1(X0)
| ~ ndr1_0
| c2_2(a537,a538)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f78,plain,
! [X0,X1] :
( ndr1_1(X0)
| ~ c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| c4_1(X0)
| ~ ndr1_0
| c3_2(a537,a538)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f79,plain,
! [X0,X1] :
( c2_2(X0,a539)
| ~ c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| c4_1(X0)
| ~ ndr1_0
| c3_2(a537,a538)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f80,plain,
! [X0,X1] :
( c1_2(X0,a539)
| ~ c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| c4_1(X0)
| ~ ndr1_0
| c3_2(a537,a538)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f81,plain,
! [X0,X1] :
( c5_2(X0,a539)
| ~ c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| c4_1(X0)
| ~ ndr1_0
| c3_2(a537,a538)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f82,plain,
! [X0,X1] :
( ndr1_1(X0)
| ~ c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| c4_1(X0)
| ~ ndr1_0
| ~ c5_1(a537)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f83,plain,
! [X0,X1] :
( c2_2(X0,a539)
| ~ c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| c4_1(X0)
| ~ ndr1_0
| ~ c5_1(a537)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f84,plain,
! [X0,X1] :
( c1_2(X0,a539)
| ~ c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| c4_1(X0)
| ~ ndr1_0
| ~ c5_1(a537)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f85,plain,
! [X0,X1] :
( c5_2(X0,a539)
| ~ c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| c4_1(X0)
| ~ ndr1_0
| ~ c5_1(a537)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f86,plain,
( ndr1_0
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f87,plain,
! [X0] :
( c3_2(a541,X0)
| ~ c4_2(a541,X0)
| c2_2(a541,X0)
| ~ ndr1_1(a541)
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f88,plain,
! [X0] :
( c3_2(a541,X0)
| ~ c5_2(a541,X0)
| c2_2(a541,X0)
| ~ ndr1_1(a541)
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f89,plain,
! [X0,X1] :
( ndr1_1(X0)
| c4_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c5_0
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f90,plain,
! [X0,X1] :
( ~ c2_2(X0,a542)
| c4_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c5_0
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f91,plain,
! [X0,X1] :
( ~ c4_2(X0,a542)
| c4_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c5_0
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f92,plain,
! [X0,X1] :
( ~ c5_2(X0,a542)
| c4_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c5_0
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f94,plain,
! [X0] :
( c4_1(a544)
| sP4_prd(X0)
| ~ ndr1_0
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f95,plain,
! [X0] :
( c1_1(a544)
| sP4_prd(X0)
| ~ ndr1_0
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f96,plain,
! [X0] :
( ndr1_1(a544)
| sP4_prd(X0)
| ~ ndr1_0
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f97,plain,
! [X0] :
( c3_2(a544,a545)
| sP4_prd(X0)
| ~ ndr1_0
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f98,plain,
! [X0] :
( ~ c1_2(a544,a545)
| sP4_prd(X0)
| ~ ndr1_0
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f99,plain,
! [X0] :
( ~ c5_2(a544,a545)
| sP4_prd(X0)
| ~ ndr1_0
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f100,plain,
! [Y] :
( ( ( ~ c5_1(Y)
& c3_1(Y)
& ( ~ c2_2(Y,a522)
| ~ c5_2(Y,a522)
| ~ ndr1_1(Y) ) )
| sP0_prd(Y) )
& ( c5_1(Y)
| ~ c3_1(Y)
| ( c2_2(Y,a522)
& c5_2(Y,a522)
& ndr1_1(Y) )
| ~ sP0_prd(Y) ) ),
inference(NNF_transformation,[status(thm)],[f4]) ).
fof(f101,plain,
( ! [Y] :
( ( ~ c5_1(Y)
& c3_1(Y)
& ( ~ c2_2(Y,a522)
| ~ c5_2(Y,a522)
| ~ ndr1_1(Y) ) )
| sP0_prd(Y) )
& ! [Y] :
( c5_1(Y)
| ~ c3_1(Y)
| ( c2_2(Y,a522)
& c5_2(Y,a522)
& ndr1_1(Y) )
| ~ sP0_prd(Y) ) ),
inference(miniscoping,[status(thm)],[f100]) ).
fof(f102,plain,
! [X0] :
( c5_1(X0)
| ~ c3_1(X0)
| ndr1_1(X0)
| ~ sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f103,plain,
! [X0] :
( c5_1(X0)
| ~ c3_1(X0)
| c5_2(X0,a522)
| ~ sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f104,plain,
! [X0] :
( c5_1(X0)
| ~ c3_1(X0)
| c2_2(X0,a522)
| ~ sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f105,plain,
! [X0] :
( ~ c2_2(X0,a522)
| ~ c5_2(X0,a522)
| ~ ndr1_1(X0)
| sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f106,plain,
! [X0] :
( c3_1(X0)
| sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f107,plain,
! [X0] :
( ~ c5_1(X0)
| sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f108,plain,
( ( c3_1(a527)
| ~ c1_2(a527,a528)
| c3_2(a527,a528)
| ~ ndr1_1(a527)
| ~ c5_1(a527)
| ~ ndr1_0
| sP1_prd )
& ( ( ~ c3_1(a527)
& c1_2(a527,a528)
& ~ c3_2(a527,a528)
& ndr1_1(a527)
& c5_1(a527)
& ndr1_0 )
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f5]) ).
fof(f109,plain,
( ndr1_0
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f110,plain,
( c5_1(a527)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f111,plain,
( ndr1_1(a527)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f112,plain,
( ~ c3_2(a527,a528)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f113,plain,
( c1_2(a527,a528)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f114,plain,
( ~ c3_1(a527)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f115,plain,
( c3_1(a527)
| ~ c1_2(a527,a528)
| c3_2(a527,a528)
| ~ ndr1_1(a527)
| ~ c5_1(a527)
| ~ ndr1_0
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f116,plain,
! [X9] :
( ( ( ~ c1_1(X9)
& ( c5_2(X9,a532)
| c3_2(X9,a532)
| ~ c4_2(X9,a532)
| ~ ndr1_1(X9) ) )
| sP2_prd(X9) )
& ( c1_1(X9)
| ( ~ c5_2(X9,a532)
& ~ c3_2(X9,a532)
& c4_2(X9,a532)
& ndr1_1(X9) )
| ~ sP2_prd(X9) ) ),
inference(NNF_transformation,[status(thm)],[f6]) ).
fof(f117,plain,
( ! [X9] :
( ( ~ c1_1(X9)
& ( c5_2(X9,a532)
| c3_2(X9,a532)
| ~ c4_2(X9,a532)
| ~ ndr1_1(X9) ) )
| sP2_prd(X9) )
& ! [X9] :
( c1_1(X9)
| ( ~ c5_2(X9,a532)
& ~ c3_2(X9,a532)
& c4_2(X9,a532)
& ndr1_1(X9) )
| ~ sP2_prd(X9) ) ),
inference(miniscoping,[status(thm)],[f116]) ).
fof(f118,plain,
! [X0] :
( c1_1(X0)
| ndr1_1(X0)
| ~ sP2_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f117]) ).
fof(f119,plain,
! [X0] :
( c1_1(X0)
| c4_2(X0,a532)
| ~ sP2_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f117]) ).
fof(f120,plain,
! [X0] :
( c1_1(X0)
| ~ c3_2(X0,a532)
| ~ sP2_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f117]) ).
fof(f121,plain,
! [X0] :
( c1_1(X0)
| ~ c5_2(X0,a532)
| ~ sP2_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f117]) ).
fof(f122,plain,
! [X0] :
( c5_2(X0,a532)
| c3_2(X0,a532)
| ~ c4_2(X0,a532)
| ~ ndr1_1(X0)
| sP2_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f117]) ).
fof(f123,plain,
! [X0] :
( ~ c1_1(X0)
| sP2_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f117]) ).
fof(f124,plain,
( ( ( ~ c5_0
& ( ? [X22] :
( ~ c2_2(a540,X22)
& c1_2(a540,X22)
& c3_2(a540,X22)
& ndr1_1(a540) )
| c4_1(a540)
| ~ c3_1(a540)
| ~ ndr1_0 ) )
| sP3_prd )
& ( c5_0
| ( ! [X22] :
( c2_2(a540,X22)
| ~ c1_2(a540,X22)
| ~ c3_2(a540,X22)
| ~ ndr1_1(a540) )
& ~ c4_1(a540)
& c3_1(a540)
& ndr1_0 )
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f7]) ).
fof(f125,plain,
( ( ( ~ c5_0
& ( ( ? [X22] :
( ~ c2_2(a540,X22)
& c1_2(a540,X22)
& c3_2(a540,X22) )
& ndr1_1(a540) )
| c4_1(a540)
| ~ c3_1(a540)
| ~ ndr1_0 ) )
| sP3_prd )
& ( c5_0
| ( ( ! [X22] :
( c2_2(a540,X22)
| ~ c1_2(a540,X22)
| ~ c3_2(a540,X22) )
| ~ ndr1_1(a540) )
& ~ c4_1(a540)
& c3_1(a540)
& ndr1_0 )
| ~ sP3_prd ) ),
inference(miniscoping,[status(thm)],[f124]) ).
fof(f126,plain,
( ( ( ~ c5_0
& ( ( ~ c2_2(a540,sK0_skl)
& c1_2(a540,sK0_skl)
& c3_2(a540,sK0_skl)
& ndr1_1(a540) )
| c4_1(a540)
| ~ c3_1(a540)
| ~ ndr1_0 ) )
| sP3_prd )
& ( c5_0
| ( ( ! [X22] :
( c2_2(a540,X22)
| ~ c1_2(a540,X22)
| ~ c3_2(a540,X22) )
| ~ ndr1_1(a540) )
& ~ c4_1(a540)
& c3_1(a540)
& ndr1_0 )
| ~ sP3_prd ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X22,sK0_skl)],[f125]) ).
fof(f127,plain,
( c5_0
| ndr1_0
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f126]) ).
fof(f128,plain,
( c5_0
| c3_1(a540)
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f126]) ).
fof(f129,plain,
( c5_0
| ~ c4_1(a540)
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f126]) ).
fof(f130,plain,
! [X0] :
( c5_0
| c2_2(a540,X0)
| ~ c1_2(a540,X0)
| ~ c3_2(a540,X0)
| ~ ndr1_1(a540)
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f126]) ).
fof(f131,plain,
( ndr1_1(a540)
| c4_1(a540)
| ~ c3_1(a540)
| ~ ndr1_0
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f126]) ).
fof(f132,plain,
( c3_2(a540,sK0_skl)
| c4_1(a540)
| ~ c3_1(a540)
| ~ ndr1_0
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f126]) ).
fof(f133,plain,
( c1_2(a540,sK0_skl)
| c4_1(a540)
| ~ c3_1(a540)
| ~ ndr1_0
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f126]) ).
fof(f134,plain,
( ~ c2_2(a540,sK0_skl)
| c4_1(a540)
| ~ c3_1(a540)
| ~ ndr1_0
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f126]) ).
fof(f135,plain,
( ~ c5_0
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f126]) ).
fof(f136,plain,
! [X27] :
( ( ( ~ c1_1(X27)
& ( c1_2(X27,a543)
| c5_2(X27,a543)
| ~ c2_2(X27,a543)
| ~ ndr1_1(X27) ) )
| sP4_prd(X27) )
& ( c1_1(X27)
| ( ~ c1_2(X27,a543)
& ~ c5_2(X27,a543)
& c2_2(X27,a543)
& ndr1_1(X27) )
| ~ sP4_prd(X27) ) ),
inference(NNF_transformation,[status(thm)],[f8]) ).
fof(f137,plain,
( ! [X27] :
( ( ~ c1_1(X27)
& ( c1_2(X27,a543)
| c5_2(X27,a543)
| ~ c2_2(X27,a543)
| ~ ndr1_1(X27) ) )
| sP4_prd(X27) )
& ! [X27] :
( c1_1(X27)
| ( ~ c1_2(X27,a543)
& ~ c5_2(X27,a543)
& c2_2(X27,a543)
& ndr1_1(X27) )
| ~ sP4_prd(X27) ) ),
inference(miniscoping,[status(thm)],[f136]) ).
fof(f138,plain,
! [X0] :
( c1_1(X0)
| ndr1_1(X0)
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f139,plain,
! [X0] :
( c1_1(X0)
| c2_2(X0,a543)
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f140,plain,
! [X0] :
( c1_1(X0)
| ~ c5_2(X0,a543)
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f141,plain,
! [X0] :
( c1_1(X0)
| ~ c1_2(X0,a543)
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f142,plain,
! [X0] :
( c1_2(X0,a543)
| c5_2(X0,a543)
| ~ c2_2(X0,a543)
| ~ ndr1_1(X0)
| sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f143,plain,
! [X0] :
( ~ c1_1(X0)
| sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f144,definition,
( sQ0_spl
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f145,plain,
( ~ sQ0_spl
| ndr1_0 ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f147,definition,
! [X0,X1] :
( sQ1_spl
<=> ( ~ c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| c5_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f148,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| c5_1(X0) ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f150,definition,
( sQ2_spl
<=> c4_0 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f151,plain,
( ~ sQ2_spl
| c4_0 ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f152,plain,
( sQ2_spl
| ~ c4_0 ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f153,definition,
( sQ3_spl
<=> c2_0 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f154,plain,
( ~ sQ3_spl
| c2_0 ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f155,plain,
( sQ3_spl
| ~ c2_0 ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f156,plain,
( sQ3_spl
| ~ sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f11,f144,f147,f150,f153]) ).
fof(f157,definition,
( sQ4_spl
<=> c5_0 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f158,plain,
( ~ sQ4_spl
| c5_0 ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f159,plain,
( sQ4_spl
| ~ c5_0 ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f160,definition,
( sQ5_spl
<=> c3_0 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f162,plain,
( sQ5_spl
| ~ c3_0 ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f163,plain,
( sQ5_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f12,f144,f157,f160]) ).
fof(f164,definition,
( sQ6_spl
<=> c5_1(a520) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f166,plain,
( sQ6_spl
| ~ c5_1(a520) ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f167,plain,
( sQ5_spl
| sQ4_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f13,f164,f157,f160]) ).
fof(f168,definition,
( sQ7_spl
<=> ndr1_1(a520) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f170,plain,
( sQ7_spl
| ~ ndr1_1(a520) ),
inference(component_clause,[status(thm)],[f168]) ).
fof(f171,definition,
! [X0] :
( sQ8_spl
<=> ( ~ c3_2(a520,X0)
| ~ c5_2(a520,X0)
| ~ c1_2(a520,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f172,plain,
! [X0] :
( ~ sQ8_spl
| ~ c3_2(a520,X0)
| ~ c5_2(a520,X0)
| ~ c1_2(a520,X0) ),
inference(component_clause,[status(thm)],[f171]) ).
fof(f174,plain,
( sQ5_spl
| sQ4_spl
| sQ8_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f14,f168,f171,f157,f160]) ).
fof(f175,definition,
( sQ9_spl
<=> c1_1(a520) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f176,plain,
( ~ sQ9_spl
| c1_1(a520) ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f178,plain,
( sQ5_spl
| sQ4_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f15,f175,f157,f160]) ).
fof(f179,definition,
! [X0] :
( sQ10_spl
<=> sP0_prd(X0) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f180,plain,
! [X0] :
( ~ sQ10_spl
| sP0_prd(X0) ),
inference(component_clause,[status(thm)],[f179]) ).
fof(f183,definition,
( sQ11_spl
<=> c2_1(a521) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f185,plain,
( sQ11_spl
| ~ c2_1(a521) ),
inference(component_clause,[status(thm)],[f183]) ).
fof(f186,plain,
( sQ10_spl
| ~ sQ0_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f17,f183,f144,f179]) ).
fof(f187,definition,
( sQ12_spl
<=> ndr1_1(a521) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f188,plain,
( ~ sQ12_spl
| ndr1_1(a521) ),
inference(component_clause,[status(thm)],[f187]) ).
fof(f189,plain,
( sQ12_spl
| ~ ndr1_1(a521) ),
inference(component_clause,[status(thm)],[f187]) ).
fof(f190,definition,
! [X0] :
( sQ13_spl
<=> ( ~ c5_2(a521,X0)
| ~ c2_2(a521,X0)
| c1_2(a521,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f191,plain,
! [X0] :
( ~ sQ13_spl
| ~ c5_2(a521,X0)
| ~ c2_2(a521,X0)
| c1_2(a521,X0) ),
inference(component_clause,[status(thm)],[f190]) ).
fof(f193,plain,
( sQ10_spl
| ~ sQ0_spl
| sQ13_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f18,f187,f190,f144,f179]) ).
fof(f194,definition,
( sQ14_spl
<=> c1_1(a521) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f195,plain,
( ~ sQ14_spl
| c1_1(a521) ),
inference(component_clause,[status(thm)],[f194]) ).
fof(f196,plain,
( sQ14_spl
| ~ c1_1(a521) ),
inference(component_clause,[status(thm)],[f194]) ).
fof(f197,plain,
( sQ10_spl
| ~ sQ0_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f19,f194,f144,f179]) ).
fof(f198,definition,
! [X0,X1] :
( sQ15_spl
<=> ( c4_1(X0)
| c3_2(X0,X1)
| c2_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_1(X0)
| ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f201,definition,
! [X2,X3] :
( sQ16_spl
<=> ( c4_1(X2)
| ndr1_1(X2)
| ~ c3_2(X2,X3)
| ~ c2_2(X2,X3)
| ~ c1_2(X2,X3)
| ~ ndr1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f204,plain,
( ~ sQ5_spl
| sQ16_spl
| sQ15_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f20,f144,f198,f201,f160]) ).
fof(f205,definition,
! [X2,X3] :
( sQ17_spl
<=> ( c4_1(X2)
| c1_2(X2,a524)
| ~ c3_2(X2,X3)
| ~ c2_2(X2,X3)
| ~ c1_2(X2,X3)
| ~ ndr1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f206,plain,
! [X0,X1] :
( ~ sQ17_spl
| c4_1(X0)
| c1_2(X0,a524)
| ~ c3_2(X0,X1)
| ~ c2_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f208,plain,
( ~ sQ5_spl
| sQ17_spl
| sQ15_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f21,f144,f198,f205,f160]) ).
fof(f209,definition,
! [X2,X3] :
( sQ18_spl
<=> ( c4_1(X2)
| c5_2(X2,a524)
| ~ c3_2(X2,X3)
| ~ c2_2(X2,X3)
| ~ c1_2(X2,X3)
| ~ ndr1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f210,plain,
! [X0,X1] :
( ~ sQ18_spl
| c4_1(X0)
| c5_2(X0,a524)
| ~ c3_2(X0,X1)
| ~ c2_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f212,plain,
( ~ sQ5_spl
| sQ18_spl
| sQ15_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f22,f144,f198,f209,f160]) ).
fof(f213,definition,
! [X2,X3] :
( sQ19_spl
<=> ( c4_1(X2)
| ~ c4_2(X2,a524)
| ~ c3_2(X2,X3)
| ~ c2_2(X2,X3)
| ~ c1_2(X2,X3)
| ~ ndr1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f214,plain,
! [X0,X1] :
( ~ sQ19_spl
| c4_1(X0)
| ~ c4_2(X0,a524)
| ~ c3_2(X0,X1)
| ~ c2_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f216,plain,
( ~ sQ5_spl
| sQ19_spl
| sQ15_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f23,f144,f198,f213,f160]) ).
fof(f217,definition,
! [X0,X1] :
( sQ20_spl
<=> ( c4_1(X0)
| c3_2(X0,X1)
| c2_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c3_2(X0,a523) ) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f218,plain,
! [X0,X1] :
( ~ sQ20_spl
| c4_1(X0)
| c3_2(X0,X1)
| c2_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c3_2(X0,a523) ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f220,plain,
( ~ sQ5_spl
| sQ16_spl
| sQ20_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f24,f144,f217,f201,f160]) ).
fof(f221,plain,
( ~ sQ5_spl
| sQ17_spl
| sQ20_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f25,f144,f217,f205,f160]) ).
fof(f222,plain,
( ~ sQ5_spl
| sQ18_spl
| sQ20_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f26,f144,f217,f209,f160]) ).
fof(f223,plain,
( ~ sQ5_spl
| sQ19_spl
| sQ20_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f27,f144,f217,f213,f160]) ).
fof(f224,definition,
! [X0,X1] :
( sQ21_spl
<=> ( c4_1(X0)
| c3_2(X0,X1)
| c2_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_2(X0,a523) ) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f225,plain,
! [X0,X1] :
( ~ sQ21_spl
| c4_1(X0)
| c3_2(X0,X1)
| c2_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_2(X0,a523) ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f227,plain,
( ~ sQ5_spl
| sQ16_spl
| sQ21_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f28,f144,f224,f201,f160]) ).
fof(f228,plain,
( ~ sQ5_spl
| sQ17_spl
| sQ21_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f29,f144,f224,f205,f160]) ).
fof(f229,plain,
( ~ sQ5_spl
| sQ18_spl
| sQ21_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f30,f144,f224,f209,f160]) ).
fof(f230,plain,
( ~ sQ5_spl
| sQ19_spl
| sQ21_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f31,f144,f224,f213,f160]) ).
fof(f231,definition,
( sQ22_spl
<=> c1_0 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f232,plain,
( ~ sQ22_spl
| c1_0 ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f233,plain,
( sQ22_spl
| ~ c1_0 ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f234,plain,
( sQ4_spl
| sQ22_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f32,f150,f231,f157]) ).
fof(f235,plain,
( sQ0_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f33,f153,f144]) ).
fof(f236,definition,
( sQ23_spl
<=> c2_1(a525) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f237,plain,
( ~ sQ23_spl
| c2_1(a525) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f238,plain,
( sQ23_spl
| ~ c2_1(a525) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,plain,
( ~ sQ23_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f34,f153,f236]) ).
fof(f240,definition,
( sQ24_spl
<=> ndr1_1(a525) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f241,plain,
( ~ sQ24_spl
| ndr1_1(a525) ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f242,plain,
( sQ24_spl
| ~ ndr1_1(a525) ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f243,plain,
( sQ24_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f35,f153,f240]) ).
fof(f244,definition,
( sQ25_spl
<=> c1_2(a525,a526) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f246,plain,
( sQ25_spl
| ~ c1_2(a525,a526) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,plain,
( ~ sQ25_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f36,f153,f244]) ).
fof(f248,definition,
( sQ26_spl
<=> c2_2(a525,a526) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f249,plain,
( ~ sQ26_spl
| c2_2(a525,a526) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,plain,
( sQ26_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f37,f153,f248]) ).
fof(f252,definition,
( sQ27_spl
<=> c4_2(a525,a526) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f253,plain,
( ~ sQ27_spl
| c4_2(a525,a526) ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,plain,
( sQ27_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f38,f153,f252]) ).
fof(f256,definition,
( sQ28_spl
<=> c3_1(a525) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f257,plain,
( ~ sQ28_spl
| c3_1(a525) ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f258,plain,
( sQ28_spl
| ~ c3_1(a525) ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f259,plain,
( sQ28_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f39,f153,f256]) ).
fof(f260,definition,
( sQ29_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f261,plain,
( ~ sQ29_spl
| sP1_prd ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f262,plain,
( sQ29_spl
| ~ sP1_prd ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,plain,
( ~ sQ2_spl
| sQ0_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f40,f260,f144,f150]) ).
fof(f264,definition,
( sQ30_spl
<=> c4_1(a529) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f265,plain,
( ~ sQ30_spl
| c4_1(a529) ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f267,plain,
( ~ sQ2_spl
| sQ30_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f41,f260,f264,f150]) ).
fof(f268,definition,
( sQ31_spl
<=> ndr1_1(a529) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f269,plain,
( ~ sQ31_spl
| ndr1_1(a529) ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f270,plain,
( sQ31_spl
| ~ ndr1_1(a529) ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f271,plain,
( ~ sQ2_spl
| sQ31_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f42,f260,f268,f150]) ).
fof(f272,definition,
( sQ32_spl
<=> c5_2(a529,a530) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f273,plain,
( ~ sQ32_spl
| c5_2(a529,a530) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f274,plain,
( sQ32_spl
| ~ c5_2(a529,a530) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,plain,
( ~ sQ2_spl
| sQ32_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f43,f260,f272,f150]) ).
fof(f276,definition,
( sQ33_spl
<=> c4_2(a529,a530) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f277,plain,
( ~ sQ33_spl
| c4_2(a529,a530) ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,plain,
( ~ sQ2_spl
| sQ33_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f44,f260,f276,f150]) ).
fof(f280,definition,
( sQ34_spl
<=> c1_2(a529,a530) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f281,plain,
( ~ sQ34_spl
| c1_2(a529,a530) ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f282,plain,
( sQ34_spl
| ~ c1_2(a529,a530) ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f283,plain,
( ~ sQ2_spl
| sQ34_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f45,f260,f280,f150]) ).
fof(f285,definition,
( sQ35_spl
<=> c1_2(a529,a531) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f286,plain,
( ~ sQ35_spl
| c1_2(a529,a531) ),
inference(component_clause,[status(thm)],[f285]) ).
fof(f287,plain,
( sQ35_spl
| ~ c1_2(a529,a531) ),
inference(component_clause,[status(thm)],[f285]) ).
fof(f288,plain,
( ~ sQ2_spl
| sQ35_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f47,f260,f285,f150]) ).
fof(f289,definition,
( sQ36_spl
<=> c5_2(a529,a531) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f290,plain,
( ~ sQ36_spl
| c5_2(a529,a531) ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f291,plain,
( sQ36_spl
| ~ c5_2(a529,a531) ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f292,plain,
( ~ sQ2_spl
| sQ36_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f48,f260,f289,f150]) ).
fof(f293,plain,
( ~ sQ4_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f49,f153,f157]) ).
fof(f294,definition,
! [X0,X1,X2,X3] :
( sQ37_spl
<=> ( c4_2(X0,X3)
| ~ c5_2(X0,X3)
| ~ c3_2(X0,X3)
| ~ ndr1_1(X0)
| c4_2(X0,X2)
| ~ c1_2(X0,X2)
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1)
| c4_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f295,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| c4_2(X0,X3)
| ~ c5_2(X0,X3)
| ~ c3_2(X0,X3)
| ~ ndr1_1(X0)
| c4_2(X0,X2)
| ~ c1_2(X0,X2)
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1)
| c4_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f297,definition,
! [X4] :
( sQ38_spl
<=> ( ~ c5_1(X4)
| c2_1(X4) ) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f298,plain,
! [X0] :
( ~ sQ38_spl
| ~ c5_1(X0)
| c2_1(X0) ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f300,plain,
( sQ22_spl
| sQ38_spl
| sQ37_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f50,f144,f294,f297,f231]) ).
fof(f301,definition,
! [X0] :
( sQ39_spl
<=> sP2_prd(X0) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f302,plain,
! [X0] :
( ~ sQ39_spl
| sP2_prd(X0) ),
inference(component_clause,[status(thm)],[f301]) ).
fof(f305,definition,
( sQ40_spl
<=> ndr1_1(a533) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f307,plain,
( sQ40_spl
| ~ ndr1_1(a533) ),
inference(component_clause,[status(thm)],[f305]) ).
fof(f308,definition,
! [X1] :
( sQ41_spl
<=> ( ~ c3_2(a533,X1)
| c5_2(a533,X1)
| c4_2(a533,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f309,plain,
! [X0] :
( ~ sQ41_spl
| ~ c3_2(a533,X0)
| c5_2(a533,X0)
| c4_2(a533,X0) ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f311,plain,
( ~ sQ3_spl
| sQ41_spl
| ~ sQ40_spl
| sQ39_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f52,f144,f301,f305,f308,f153]) ).
fof(f312,definition,
( sQ42_spl
<=> c3_1(a533) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f314,plain,
( sQ42_spl
| ~ c3_1(a533) ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f315,plain,
( ~ sQ3_spl
| ~ sQ42_spl
| sQ39_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f53,f144,f301,f312,f153]) ).
fof(f316,definition,
! [X0] :
( sQ43_spl
<=> ( c4_1(X0)
| c5_1(X0)
| c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f317,plain,
! [X0] :
( ~ sQ43_spl
| c4_1(X0)
| c5_1(X0)
| c1_1(X0) ),
inference(component_clause,[status(thm)],[f316]) ).
fof(f319,definition,
! [X1,X2] :
( sQ44_spl
<=> ( c3_1(X1)
| ndr1_1(X1)
| c4_2(X1,X2)
| c1_2(X1,X2)
| c3_2(X1,X2)
| ~ ndr1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f322,plain,
( sQ44_spl
| sQ43_spl
| ~ sQ0_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f54,f157,f144,f316,f319]) ).
fof(f323,definition,
! [X1,X2] :
( sQ45_spl
<=> ( c3_1(X1)
| c4_2(X1,a534)
| c4_2(X1,X2)
| c1_2(X1,X2)
| c3_2(X1,X2)
| ~ ndr1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f324,plain,
! [X0,X1] :
( ~ sQ45_spl
| c3_1(X0)
| c4_2(X0,a534)
| c4_2(X0,X1)
| c1_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f326,plain,
( sQ45_spl
| sQ43_spl
| ~ sQ0_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f55,f157,f144,f316,f323]) ).
fof(f327,definition,
! [X1,X2] :
( sQ46_spl
<=> ( c3_1(X1)
| ~ c3_2(X1,a534)
| c4_2(X1,X2)
| c1_2(X1,X2)
| c3_2(X1,X2)
| ~ ndr1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f328,plain,
! [X0,X1] :
( ~ sQ46_spl
| c3_1(X0)
| ~ c3_2(X0,a534)
| c4_2(X0,X1)
| c1_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f330,plain,
( sQ46_spl
| sQ43_spl
| ~ sQ0_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f56,f157,f144,f316,f327]) ).
fof(f331,definition,
! [X0,X1] :
( sQ47_spl
<=> ( c5_1(X0)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f332,plain,
! [X0,X1] :
( ~ sQ47_spl
| c5_1(X0)
| c2_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f331]) ).
fof(f334,plain,
( sQ47_spl
| ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f57,f231,f160,f144,f331]) ).
fof(f335,plain,
( ~ sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f58,f157,f160]) ).
fof(f336,definition,
! [X0] :
( sQ48_spl
<=> ( c4_1(X0)
| ndr1_1(X0)
| c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f337,plain,
! [X0] :
( ~ sQ48_spl
| c4_1(X0)
| ndr1_1(X0)
| c1_1(X0) ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f339,definition,
! [X1,X2] :
( sQ49_spl
<=> ( c5_1(X1)
| ~ c3_2(X1,X2)
| c1_2(X1,X2)
| c4_2(X1,X2)
| ~ ndr1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f340,plain,
! [X0,X1] :
( ~ sQ49_spl
| c5_1(X0)
| ~ c3_2(X0,X1)
| c1_2(X0,X1)
| c4_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f339]) ).
fof(f342,plain,
( sQ49_spl
| sQ48_spl
| ~ sQ0_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f59,f150,f144,f336,f339]) ).
fof(f343,definition,
! [X0] :
( sQ50_spl
<=> ( c4_1(X0)
| ~ c4_2(X0,a535)
| c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f344,plain,
! [X0] :
( ~ sQ50_spl
| c4_1(X0)
| ~ c4_2(X0,a535)
| c1_1(X0) ),
inference(component_clause,[status(thm)],[f343]) ).
fof(f346,plain,
( sQ49_spl
| sQ50_spl
| ~ sQ0_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f60,f150,f144,f343,f339]) ).
fof(f347,definition,
! [X0] :
( sQ51_spl
<=> ( c4_1(X0)
| ~ c3_2(X0,a535)
| c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f348,plain,
! [X0] :
( ~ sQ51_spl
| c4_1(X0)
| ~ c3_2(X0,a535)
| c1_1(X0) ),
inference(component_clause,[status(thm)],[f347]) ).
fof(f350,plain,
( sQ49_spl
| sQ51_spl
| ~ sQ0_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f61,f150,f144,f347,f339]) ).
fof(f351,plain,
( ~ sQ5_spl
| sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f62,f144,f153,f160]) ).
fof(f352,definition,
( sQ52_spl
<=> ndr1_1(a536) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f354,plain,
( sQ52_spl
| ~ ndr1_1(a536) ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f355,definition,
! [X0] :
( sQ53_spl
<=> ( c2_2(a536,X0)
| c4_2(a536,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f356,plain,
! [X0] :
( ~ sQ53_spl
| c2_2(a536,X0)
| c4_2(a536,X0) ),
inference(component_clause,[status(thm)],[f355]) ).
fof(f358,plain,
( ~ sQ5_spl
| sQ3_spl
| sQ53_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f63,f352,f355,f153,f160]) ).
fof(f359,definition,
( sQ54_spl
<=> c5_1(a536) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f360,plain,
( ~ sQ54_spl
| c5_1(a536) ),
inference(component_clause,[status(thm)],[f359]) ).
fof(f361,plain,
( sQ54_spl
| ~ c5_1(a536) ),
inference(component_clause,[status(thm)],[f359]) ).
fof(f362,plain,
( ~ sQ5_spl
| sQ3_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f64,f359,f153,f160]) ).
fof(f363,definition,
( sQ55_spl
<=> c1_1(a536) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f364,plain,
( ~ sQ55_spl
| c1_1(a536) ),
inference(component_clause,[status(thm)],[f363]) ).
fof(f365,plain,
( sQ55_spl
| ~ c1_1(a536) ),
inference(component_clause,[status(thm)],[f363]) ).
fof(f366,plain,
( ~ sQ5_spl
| sQ3_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f65,f363,f153,f160]) ).
fof(f367,definition,
! [X0,X1] :
( sQ56_spl
<=> ( ndr1_1(X0)
| ~ c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| c4_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f371,definition,
! [X0,X1] :
( sQ57_spl
<=> ( c2_2(X0,a539)
| ~ c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| c4_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f372,plain,
! [X0,X1] :
( ~ sQ57_spl
| c2_2(X0,a539)
| ~ c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| c4_1(X0) ),
inference(component_clause,[status(thm)],[f371]) ).
fof(f375,definition,
! [X0,X1] :
( sQ58_spl
<=> ( c1_2(X0,a539)
| ~ c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| c4_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f376,plain,
! [X0,X1] :
( ~ sQ58_spl
| c1_2(X0,a539)
| ~ c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| c4_1(X0) ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f379,definition,
! [X0,X1] :
( sQ59_spl
<=> ( c5_2(X0,a539)
| ~ c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| c4_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f380,plain,
! [X0,X1] :
( ~ sQ59_spl
| c5_2(X0,a539)
| ~ c5_2(X0,X1)
| c3_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| c4_1(X0) ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f383,definition,
( sQ60_spl
<=> ndr1_1(a537) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f384,plain,
( ~ sQ60_spl
| ndr1_1(a537) ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f385,plain,
( sQ60_spl
| ~ ndr1_1(a537) ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,plain,
( sQ56_spl
| ~ sQ0_spl
| sQ60_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f70,f153,f383,f144,f367]) ).
fof(f387,plain,
( sQ57_spl
| ~ sQ0_spl
| sQ60_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f71,f153,f383,f144,f371]) ).
fof(f388,plain,
( sQ58_spl
| ~ sQ0_spl
| sQ60_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f72,f153,f383,f144,f375]) ).
fof(f389,plain,
( sQ59_spl
| ~ sQ0_spl
| sQ60_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f73,f153,f383,f144,f379]) ).
fof(f390,definition,
( sQ61_spl
<=> c2_2(a537,a538) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f391,plain,
( ~ sQ61_spl
| c2_2(a537,a538) ),
inference(component_clause,[status(thm)],[f390]) ).
fof(f393,plain,
( sQ56_spl
| ~ sQ0_spl
| sQ61_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f74,f153,f390,f144,f367]) ).
fof(f394,plain,
( sQ57_spl
| ~ sQ0_spl
| sQ61_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f75,f153,f390,f144,f371]) ).
fof(f395,plain,
( sQ58_spl
| ~ sQ0_spl
| sQ61_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f76,f153,f390,f144,f375]) ).
fof(f396,plain,
( sQ59_spl
| ~ sQ0_spl
| sQ61_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f77,f153,f390,f144,f379]) ).
fof(f397,definition,
( sQ62_spl
<=> c3_2(a537,a538) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f398,plain,
( ~ sQ62_spl
| c3_2(a537,a538) ),
inference(component_clause,[status(thm)],[f397]) ).
fof(f400,plain,
( sQ56_spl
| ~ sQ0_spl
| sQ62_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f78,f153,f397,f144,f367]) ).
fof(f401,plain,
( sQ57_spl
| ~ sQ0_spl
| sQ62_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f79,f153,f397,f144,f371]) ).
fof(f402,plain,
( sQ58_spl
| ~ sQ0_spl
| sQ62_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f80,f153,f397,f144,f375]) ).
fof(f403,plain,
( sQ59_spl
| ~ sQ0_spl
| sQ62_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f81,f153,f397,f144,f379]) ).
fof(f404,definition,
( sQ63_spl
<=> c5_1(a537) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f405,plain,
( ~ sQ63_spl
| c5_1(a537) ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f406,plain,
( sQ63_spl
| ~ c5_1(a537) ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f407,plain,
( sQ56_spl
| ~ sQ0_spl
| ~ sQ63_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f82,f153,f404,f144,f367]) ).
fof(f408,plain,
( sQ57_spl
| ~ sQ0_spl
| ~ sQ63_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f83,f153,f404,f144,f371]) ).
fof(f409,plain,
( sQ58_spl
| ~ sQ0_spl
| ~ sQ63_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f84,f153,f404,f144,f375]) ).
fof(f410,plain,
( sQ59_spl
| ~ sQ0_spl
| ~ sQ63_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f85,f153,f404,f144,f379]) ).
fof(f411,definition,
( sQ64_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f412,plain,
( ~ sQ64_spl
| sP3_prd ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f413,plain,
( sQ64_spl
| ~ sP3_prd ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f414,plain,
( sQ0_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f86,f411,f144]) ).
fof(f415,definition,
( sQ65_spl
<=> ndr1_1(a541) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f417,plain,
( sQ65_spl
| ~ ndr1_1(a541) ),
inference(component_clause,[status(thm)],[f415]) ).
fof(f418,definition,
! [X0] :
( sQ66_spl
<=> ( c3_2(a541,X0)
| ~ c4_2(a541,X0)
| c2_2(a541,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f419,plain,
! [X0] :
( ~ sQ66_spl
| c3_2(a541,X0)
| ~ c4_2(a541,X0)
| c2_2(a541,X0) ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f421,plain,
( sQ66_spl
| ~ sQ65_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f87,f411,f415,f418]) ).
fof(f422,definition,
! [X0] :
( sQ67_spl
<=> ( c3_2(a541,X0)
| ~ c5_2(a541,X0)
| c2_2(a541,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f423,plain,
! [X0] :
( ~ sQ67_spl
| c3_2(a541,X0)
| ~ c5_2(a541,X0)
| c2_2(a541,X0) ),
inference(component_clause,[status(thm)],[f422]) ).
fof(f425,plain,
( sQ67_spl
| ~ sQ65_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f88,f411,f415,f422]) ).
fof(f426,definition,
! [X0,X1] :
( sQ68_spl
<=> ( ndr1_1(X0)
| c4_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f429,plain,
( sQ68_spl
| ~ sQ0_spl
| ~ sQ4_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f89,f231,f157,f144,f426]) ).
fof(f430,definition,
! [X0,X1] :
( sQ69_spl
<=> ( ~ c2_2(X0,a542)
| c4_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f431,plain,
! [X0,X1] :
( ~ sQ69_spl
| ~ c2_2(X0,a542)
| c4_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c2_1(X0) ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f433,plain,
( sQ69_spl
| ~ sQ0_spl
| ~ sQ4_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f90,f231,f157,f144,f430]) ).
fof(f434,definition,
! [X0,X1] :
( sQ70_spl
<=> ( ~ c4_2(X0,a542)
| c4_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f435,plain,
! [X0,X1] :
( ~ sQ70_spl
| ~ c4_2(X0,a542)
| c4_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c2_1(X0) ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f437,plain,
( sQ70_spl
| ~ sQ0_spl
| ~ sQ4_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f91,f231,f157,f144,f434]) ).
fof(f438,definition,
! [X0,X1] :
( sQ71_spl
<=> ( ~ c5_2(X0,a542)
| c4_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f439,plain,
! [X0,X1] :
( ~ sQ71_spl
| ~ c5_2(X0,a542)
| c4_2(X0,X1)
| ~ c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c2_1(X0) ),
inference(component_clause,[status(thm)],[f438]) ).
fof(f441,plain,
( sQ71_spl
| ~ sQ0_spl
| ~ sQ4_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f92,f231,f157,f144,f438]) ).
fof(f442,definition,
! [X0] :
( sQ72_spl
<=> sP4_prd(X0) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f443,plain,
! [X0] :
( ~ sQ72_spl
| sP4_prd(X0) ),
inference(component_clause,[status(thm)],[f442]) ).
fof(f446,definition,
( sQ73_spl
<=> c4_1(a544) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f447,plain,
( ~ sQ73_spl
| c4_1(a544) ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f449,plain,
( sQ73_spl
| sQ72_spl
| ~ sQ0_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f94,f231,f144,f442,f446]) ).
fof(f450,definition,
( sQ74_spl
<=> c1_1(a544) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f451,plain,
( ~ sQ74_spl
| c1_1(a544) ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f453,plain,
( sQ74_spl
| sQ72_spl
| ~ sQ0_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f95,f231,f144,f442,f450]) ).
fof(f454,definition,
( sQ75_spl
<=> ndr1_1(a544) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f455,plain,
( ~ sQ75_spl
| ndr1_1(a544) ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f456,plain,
( sQ75_spl
| ~ ndr1_1(a544) ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f457,plain,
( sQ75_spl
| sQ72_spl
| ~ sQ0_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f96,f231,f144,f442,f454]) ).
fof(f458,definition,
( sQ76_spl
<=> c3_2(a544,a545) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f459,plain,
( ~ sQ76_spl
| c3_2(a544,a545) ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f460,plain,
( sQ76_spl
| ~ c3_2(a544,a545) ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f461,plain,
( sQ76_spl
| sQ72_spl
| ~ sQ0_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f97,f231,f144,f442,f458]) ).
fof(f462,definition,
( sQ77_spl
<=> c1_2(a544,a545) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f463,plain,
( ~ sQ77_spl
| c1_2(a544,a545) ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f464,plain,
( sQ77_spl
| ~ c1_2(a544,a545) ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f465,plain,
( ~ sQ77_spl
| sQ72_spl
| ~ sQ0_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f98,f231,f144,f442,f462]) ).
fof(f466,definition,
( sQ78_spl
<=> c5_2(a544,a545) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f468,plain,
( sQ78_spl
| ~ c5_2(a544,a545) ),
inference(component_clause,[status(thm)],[f466]) ).
fof(f469,plain,
( ~ sQ78_spl
| sQ72_spl
| ~ sQ0_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f99,f231,f144,f442,f466]) ).
fof(f470,plain,
( sQ0_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f109,f260,f144]) ).
fof(f471,definition,
( sQ79_spl
<=> c5_1(a527) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f472,plain,
( ~ sQ79_spl
| c5_1(a527) ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,plain,
( sQ79_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f110,f260,f471]) ).
fof(f475,definition,
( sQ80_spl
<=> ndr1_1(a527) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f476,plain,
( ~ sQ80_spl
| ndr1_1(a527) ),
inference(component_clause,[status(thm)],[f475]) ).
fof(f477,plain,
( sQ80_spl
| ~ ndr1_1(a527) ),
inference(component_clause,[status(thm)],[f475]) ).
fof(f478,plain,
( sQ80_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f111,f260,f475]) ).
fof(f479,definition,
( sQ81_spl
<=> c3_2(a527,a528) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f480,plain,
( ~ sQ81_spl
| c3_2(a527,a528) ),
inference(component_clause,[status(thm)],[f479]) ).
fof(f481,plain,
( sQ81_spl
| ~ c3_2(a527,a528) ),
inference(component_clause,[status(thm)],[f479]) ).
fof(f482,plain,
( ~ sQ81_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f112,f260,f479]) ).
fof(f483,definition,
( sQ82_spl
<=> c1_2(a527,a528) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f484,plain,
( ~ sQ82_spl
| c1_2(a527,a528) ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f485,plain,
( sQ82_spl
| ~ c1_2(a527,a528) ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f486,plain,
( sQ82_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f113,f260,f483]) ).
fof(f487,definition,
( sQ83_spl
<=> c3_1(a527) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f488,plain,
( ~ sQ83_spl
| c3_1(a527) ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f489,plain,
( sQ83_spl
| ~ c3_1(a527) ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,plain,
( ~ sQ83_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f114,f260,f487]) ).
fof(f491,plain,
( sQ83_spl
| ~ sQ82_spl
| sQ81_spl
| ~ sQ80_spl
| ~ sQ79_spl
| ~ sQ0_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f115,f260,f144,f471,f475,f479,f483,f487]) ).
fof(f492,plain,
( sQ4_spl
| sQ0_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f127,f411,f144,f157]) ).
fof(f493,definition,
( sQ84_spl
<=> c3_1(a540) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f495,plain,
( sQ84_spl
| ~ c3_1(a540) ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f496,plain,
( sQ4_spl
| sQ84_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f128,f411,f493,f157]) ).
fof(f497,definition,
( sQ85_spl
<=> c4_1(a540) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f498,plain,
( ~ sQ85_spl
| c4_1(a540) ),
inference(component_clause,[status(thm)],[f497]) ).
fof(f500,plain,
( sQ4_spl
| ~ sQ85_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f129,f411,f497,f157]) ).
fof(f501,definition,
( sQ86_spl
<=> ndr1_1(a540) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f503,plain,
( sQ86_spl
| ~ ndr1_1(a540) ),
inference(component_clause,[status(thm)],[f501]) ).
fof(f504,definition,
! [X0] :
( sQ87_spl
<=> ( c2_2(a540,X0)
| ~ c1_2(a540,X0)
| ~ c3_2(a540,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f505,plain,
! [X0] :
( ~ sQ87_spl
| c2_2(a540,X0)
| ~ c1_2(a540,X0)
| ~ c3_2(a540,X0) ),
inference(component_clause,[status(thm)],[f504]) ).
fof(f507,plain,
( sQ4_spl
| sQ87_spl
| ~ sQ86_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f130,f411,f501,f504,f157]) ).
fof(f508,plain,
( sQ86_spl
| sQ85_spl
| ~ sQ84_spl
| ~ sQ0_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f131,f411,f144,f493,f497,f501]) ).
fof(f509,definition,
( sQ88_spl
<=> c3_2(a540,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f510,plain,
( ~ sQ88_spl
| c3_2(a540,sK0_skl) ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f511,plain,
( sQ88_spl
| ~ c3_2(a540,sK0_skl) ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f512,plain,
( sQ88_spl
| sQ85_spl
| ~ sQ84_spl
| ~ sQ0_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f132,f411,f144,f493,f497,f509]) ).
fof(f513,definition,
( sQ89_spl
<=> c1_2(a540,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f514,plain,
( ~ sQ89_spl
| c1_2(a540,sK0_skl) ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f515,plain,
( sQ89_spl
| ~ c1_2(a540,sK0_skl) ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f516,plain,
( sQ89_spl
| sQ85_spl
| ~ sQ84_spl
| ~ sQ0_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f133,f411,f144,f493,f497,f513]) ).
fof(f517,definition,
( sQ90_spl
<=> c2_2(a540,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f519,plain,
( sQ90_spl
| ~ c2_2(a540,sK0_skl) ),
inference(component_clause,[status(thm)],[f517]) ).
fof(f520,plain,
( ~ sQ90_spl
| sQ85_spl
| ~ sQ84_spl
| ~ sQ0_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f134,f411,f144,f493,f497,f517]) ).
fof(f521,plain,
( ~ sQ4_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f135,f411,f157]) ).
fof(f522,plain,
! [X0,X1,X2,X3] :
( ~ sQ37_spl
| c4_2(X0,X3)
| ~ c5_2(X0,X3)
| ~ c3_2(X0,X3)
| c4_2(X0,X2)
| ~ c1_2(X0,X2)
| ~ c3_2(X0,X1)
| c4_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f295]) ).
fof(f523,plain,
! [X0] :
( ~ sQ72_spl
| c1_1(X0)
| ~ c1_2(X0,a543) ),
inference(backward_subsumption_resolution,[status(thm)],[f141,f443]) ).
fof(f524,plain,
! [X0] :
( ~ sQ72_spl
| c1_1(X0)
| ~ c5_2(X0,a543) ),
inference(backward_subsumption_resolution,[status(thm)],[f140,f443]) ).
fof(f525,plain,
! [X0] :
( ~ sQ72_spl
| c1_1(X0)
| ndr1_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f138,f443]) ).
fof(f526,plain,
! [X0] :
( ~ sQ72_spl
| sP2_prd(X0)
| ndr1_1(X0) ),
inference(resolution,[status(thm)],[f525,f123]) ).
fof(f531,plain,
! [X0] :
( ~ sQ72_spl
| c5_2(X0,a532)
| c3_2(X0,a532)
| ~ c4_2(X0,a532)
| sP2_prd(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f122,f526]) ).
fof(f532,plain,
! [X0] :
( ~ sQ72_spl
| c1_1(X0)
| c2_2(X0,a543) ),
inference(forward_subsumption_resolution,[status(thm)],[f139,f443]) ).
fof(f533,plain,
( ~ sQ72_spl
| ~ sQ53_spl
| c5_2(a536,a532)
| c3_2(a536,a532)
| sP2_prd(a536)
| c2_2(a536,a532) ),
inference(resolution,[status(thm)],[f356,f531]) ).
fof(f534,definition,
( sQ91_spl
<=> c2_2(a536,a532) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f535,plain,
( ~ sQ91_spl
| c2_2(a536,a532) ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f537,definition,
( sQ92_spl
<=> sP2_prd(a536) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f538,plain,
( ~ sQ92_spl
| sP2_prd(a536) ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f540,definition,
( sQ93_spl
<=> c3_2(a536,a532) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f541,plain,
( ~ sQ93_spl
| c3_2(a536,a532) ),
inference(component_clause,[status(thm)],[f540]) ).
fof(f543,definition,
( sQ94_spl
<=> c5_2(a536,a532) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f544,plain,
( ~ sQ94_spl
| c5_2(a536,a532) ),
inference(component_clause,[status(thm)],[f543]) ).
fof(f545,plain,
( sQ94_spl
| ~ c5_2(a536,a532) ),
inference(component_clause,[status(thm)],[f543]) ).
fof(f546,plain,
( ~ sQ72_spl
| ~ sQ53_spl
| sQ94_spl
| sQ93_spl
| sQ92_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f533,f534,f537,f540,f543,f355,f442]) ).
fof(f547,plain,
( ~ sQ53_spl
| ~ sQ50_spl
| c2_2(a536,a535)
| c4_1(a536)
| c1_1(a536) ),
inference(resolution,[status(thm)],[f344,f356]) ).
fof(f548,definition,
( sQ95_spl
<=> c4_1(a536) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f549,plain,
( ~ sQ95_spl
| c4_1(a536) ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f551,definition,
( sQ96_spl
<=> c2_2(a536,a535) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f552,plain,
( ~ sQ96_spl
| c2_2(a536,a535) ),
inference(component_clause,[status(thm)],[f551]) ).
fof(f554,plain,
( ~ sQ53_spl
| ~ sQ50_spl
| sQ96_spl
| sQ95_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f547,f363,f548,f551,f343,f355]) ).
fof(f555,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ47_spl
| c5_1(a537)
| c2_2(a537,X0)
| c3_2(a537,X0) ),
inference(resolution,[status(thm)],[f332,f384]) ).
fof(f556,definition,
! [X0] :
( sQ97_spl
<=> ( c2_2(a537,X0)
| c3_2(a537,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f557,plain,
! [X0] :
( ~ sQ97_spl
| c2_2(a537,X0)
| c3_2(a537,X0) ),
inference(component_clause,[status(thm)],[f556]) ).
fof(f559,plain,
( ~ sQ60_spl
| ~ sQ47_spl
| sQ63_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f555,f556,f404,f331,f383]) ).
fof(f560,plain,
( ~ sQ61_spl
| ~ sQ1_spl
| c3_2(a537,a538)
| ~ ndr1_1(a537)
| c5_1(a537) ),
inference(resolution,[status(thm)],[f148,f391]) ).
fof(f561,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ1_spl
| c3_2(a537,X0)
| c3_2(a537,X0)
| ~ ndr1_1(a537)
| c5_1(a537) ),
inference(resolution,[status(thm)],[f148,f557]) ).
fof(f562,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ1_spl
| c1_1(X0)
| c3_2(X0,a543)
| ~ ndr1_1(X0)
| c5_1(X0) ),
inference(resolution,[status(thm)],[f148,f532]) ).
fof(f563,plain,
( ~ sQ61_spl
| ~ sQ1_spl
| sQ62_spl
| ~ sQ60_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f560,f404,f383,f397,f147,f390]) ).
fof(f564,definition,
! [X0] :
( sQ98_spl
<=> ( c3_2(a537,X0)
| c3_2(a537,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f565,plain,
! [X0] :
( ~ sQ98_spl
| c3_2(a537,X0)
| c3_2(a537,X0) ),
inference(component_clause,[status(thm)],[f564]) ).
fof(f567,plain,
( ~ sQ97_spl
| ~ sQ1_spl
| sQ98_spl
| ~ sQ60_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f561,f404,f383,f564,f147,f556]) ).
fof(f568,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ1_spl
| c1_1(X0)
| c3_2(X0,a543)
| c5_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f562,f525]) ).
fof(f569,plain,
! [X0] :
( ~ sQ98_spl
| c3_2(a537,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f565]) ).
fof(f570,plain,
( ~ sQ62_spl
| ~ sQ49_spl
| c5_1(a537)
| c1_2(a537,a538)
| c4_2(a537,a538)
| ~ ndr1_1(a537) ),
inference(resolution,[status(thm)],[f340,f398]) ).
fof(f571,definition,
( sQ99_spl
<=> c4_2(a537,a538) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f572,plain,
( ~ sQ99_spl
| c4_2(a537,a538) ),
inference(component_clause,[status(thm)],[f571]) ).
fof(f574,definition,
( sQ100_spl
<=> c1_2(a537,a538) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f575,plain,
( ~ sQ100_spl
| c1_2(a537,a538) ),
inference(component_clause,[status(thm)],[f574]) ).
fof(f576,plain,
( sQ100_spl
| ~ c1_2(a537,a538) ),
inference(component_clause,[status(thm)],[f574]) ).
fof(f577,plain,
( ~ sQ62_spl
| ~ sQ49_spl
| sQ63_spl
| sQ100_spl
| sQ99_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f570,f383,f571,f574,f404,f339,f397]) ).
fof(f578,plain,
! [X0,X1] :
( ~ sQ62_spl
| ~ sQ37_spl
| c4_2(a537,X1)
| ~ c5_2(a537,X1)
| ~ c3_2(a537,X1)
| c4_2(a537,X0)
| ~ c1_2(a537,X0)
| c4_2(a537,a538)
| c2_2(a537,a538)
| ~ ndr1_1(a537) ),
inference(resolution,[status(thm)],[f522,f398]) ).
fof(f579,definition,
! [X0] :
( sQ101_spl
<=> ( c4_2(a537,X0)
| ~ c1_2(a537,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f580,plain,
! [X0] :
( ~ sQ101_spl
| c4_2(a537,X0)
| ~ c1_2(a537,X0) ),
inference(component_clause,[status(thm)],[f579]) ).
fof(f582,definition,
! [X1] :
( sQ102_spl
<=> ( c4_2(a537,X1)
| ~ c5_2(a537,X1)
| ~ c3_2(a537,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f583,plain,
! [X0] :
( ~ sQ102_spl
| c4_2(a537,X0)
| ~ c5_2(a537,X0)
| ~ c3_2(a537,X0) ),
inference(component_clause,[status(thm)],[f582]) ).
fof(f585,plain,
( ~ sQ62_spl
| ~ sQ37_spl
| sQ102_spl
| sQ101_spl
| sQ99_spl
| sQ61_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f578,f383,f390,f571,f579,f582,f294,f397]) ).
fof(f586,plain,
( ~ sQ41_spl
| ~ sQ72_spl
| ~ sQ1_spl
| c5_2(a533,a543)
| c4_2(a533,a543)
| c1_1(a533)
| c5_1(a533) ),
inference(resolution,[status(thm)],[f568,f309]) ).
fof(f587,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ72_spl
| ~ sQ1_spl
| c5_1(X0)
| c1_2(X0,a543)
| c4_2(X0,a543)
| ~ ndr1_1(X0)
| c1_1(X0)
| c5_1(X0) ),
inference(resolution,[status(thm)],[f568,f340]) ).
fof(f588,definition,
( sQ103_spl
<=> c5_1(a533) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f589,plain,
( ~ sQ103_spl
| c5_1(a533) ),
inference(component_clause,[status(thm)],[f588]) ).
fof(f591,definition,
( sQ104_spl
<=> c1_1(a533) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f592,plain,
( ~ sQ104_spl
| c1_1(a533) ),
inference(component_clause,[status(thm)],[f591]) ).
fof(f593,plain,
( sQ104_spl
| ~ c1_1(a533) ),
inference(component_clause,[status(thm)],[f591]) ).
fof(f594,definition,
( sQ105_spl
<=> c4_2(a533,a543) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f595,plain,
( ~ sQ105_spl
| c4_2(a533,a543) ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f597,definition,
( sQ106_spl
<=> c5_2(a533,a543) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f598,plain,
( ~ sQ106_spl
| c5_2(a533,a543) ),
inference(component_clause,[status(thm)],[f597]) ).
fof(f600,plain,
( ~ sQ41_spl
| ~ sQ72_spl
| ~ sQ1_spl
| sQ106_spl
| sQ105_spl
| sQ104_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f586,f588,f591,f594,f597,f147,f442,f308]) ).
fof(f601,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ72_spl
| ~ sQ1_spl
| c1_2(X0,a543)
| c4_2(X0,a543)
| ~ ndr1_1(X0)
| c1_1(X0)
| c5_1(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f587]) ).
fof(f602,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ72_spl
| ~ sQ1_spl
| c1_2(X0,a543)
| c4_2(X0,a543)
| c1_1(X0)
| c5_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f601,f525]) ).
fof(f603,plain,
( ~ sQ66_spl
| ~ sQ49_spl
| ~ sQ72_spl
| ~ sQ1_spl
| c3_2(a541,a543)
| c2_2(a541,a543)
| c1_2(a541,a543)
| c1_1(a541)
| c5_1(a541) ),
inference(resolution,[status(thm)],[f602,f419]) ).
fof(f604,definition,
( sQ107_spl
<=> c5_1(a541) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f605,plain,
( ~ sQ107_spl
| c5_1(a541) ),
inference(component_clause,[status(thm)],[f604]) ).
fof(f607,definition,
( sQ108_spl
<=> c1_1(a541) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f608,plain,
( ~ sQ108_spl
| c1_1(a541) ),
inference(component_clause,[status(thm)],[f607]) ).
fof(f609,plain,
( sQ108_spl
| ~ c1_1(a541) ),
inference(component_clause,[status(thm)],[f607]) ).
fof(f610,definition,
( sQ109_spl
<=> c1_2(a541,a543) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f611,plain,
( ~ sQ109_spl
| c1_2(a541,a543) ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f612,plain,
( sQ109_spl
| ~ c1_2(a541,a543) ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f613,definition,
( sQ110_spl
<=> c2_2(a541,a543) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f614,plain,
( ~ sQ110_spl
| c2_2(a541,a543) ),
inference(component_clause,[status(thm)],[f613]) ).
fof(f616,definition,
( sQ111_spl
<=> c3_2(a541,a543) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f617,plain,
( ~ sQ111_spl
| c3_2(a541,a543) ),
inference(component_clause,[status(thm)],[f616]) ).
fof(f619,plain,
( ~ sQ66_spl
| ~ sQ49_spl
| ~ sQ72_spl
| ~ sQ1_spl
| sQ111_spl
| sQ110_spl
| sQ109_spl
| sQ108_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f603,f604,f607,f610,f613,f616,f147,f442,f339,f418]) ).
fof(f620,plain,
! [X0] :
( ~ sQ10_spl
| c5_1(X0)
| ~ c3_1(X0)
| c2_2(X0,a522) ),
inference(backward_subsumption_resolution,[status(thm)],[f104,f180]) ).
fof(f621,plain,
! [X0] :
( ~ sQ10_spl
| c5_1(X0)
| ~ c3_1(X0)
| c5_2(X0,a522) ),
inference(backward_subsumption_resolution,[status(thm)],[f103,f180]) ).
fof(f622,plain,
! [X0] :
( ~ sQ10_spl
| c5_1(X0)
| ~ c3_1(X0)
| ndr1_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f102,f180]) ).
fof(f623,plain,
! [X0] :
( ~ sQ39_spl
| c1_1(X0)
| ~ c5_2(X0,a532) ),
inference(backward_subsumption_resolution,[status(thm)],[f121,f302]) ).
fof(f624,plain,
! [X0] :
( ~ sQ39_spl
| c1_1(X0)
| ~ c3_2(X0,a532) ),
inference(backward_subsumption_resolution,[status(thm)],[f120,f302]) ).
fof(f625,plain,
! [X0] :
( ~ sQ39_spl
| c1_1(X0)
| c4_2(X0,a532) ),
inference(backward_subsumption_resolution,[status(thm)],[f119,f302]) ).
fof(f626,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ24_spl
| c3_1(a525)
| c4_2(a525,a534)
| c4_2(a525,X0)
| c1_2(a525,X0)
| c3_2(a525,X0) ),
inference(resolution,[status(thm)],[f241,f324]) ).
fof(f627,definition,
! [X0] :
( sQ112_spl
<=> ( c4_2(a525,X0)
| c1_2(a525,X0)
| c3_2(a525,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f628,plain,
! [X0] :
( ~ sQ112_spl
| c4_2(a525,X0)
| c1_2(a525,X0)
| c3_2(a525,X0) ),
inference(component_clause,[status(thm)],[f627]) ).
fof(f630,definition,
( sQ113_spl
<=> c4_2(a525,a534) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f631,plain,
( ~ sQ113_spl
| c4_2(a525,a534) ),
inference(component_clause,[status(thm)],[f630]) ).
fof(f633,plain,
( ~ sQ45_spl
| ~ sQ24_spl
| sQ28_spl
| sQ113_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f626,f627,f630,f256,f240,f323]) ).
fof(f634,plain,
( ~ sQ1_spl
| ~ sQ26_spl
| c3_2(a525,a526)
| ~ ndr1_1(a525)
| c5_1(a525) ),
inference(resolution,[status(thm)],[f249,f148]) ).
fof(f635,definition,
( sQ114_spl
<=> c5_1(a525) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f636,plain,
( ~ sQ114_spl
| c5_1(a525) ),
inference(component_clause,[status(thm)],[f635]) ).
fof(f637,plain,
( sQ114_spl
| ~ c5_1(a525) ),
inference(component_clause,[status(thm)],[f635]) ).
fof(f638,definition,
( sQ115_spl
<=> c3_2(a525,a526) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f639,plain,
( ~ sQ115_spl
| c3_2(a525,a526) ),
inference(component_clause,[status(thm)],[f638]) ).
fof(f641,plain,
( ~ sQ1_spl
| ~ sQ26_spl
| sQ115_spl
| ~ sQ24_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f634,f635,f240,f638,f248,f147]) ).
fof(f642,plain,
( ~ sQ10_spl
| ~ sQ28_spl
| c5_1(a525)
| c5_2(a525,a522) ),
inference(resolution,[status(thm)],[f257,f621]) ).
fof(f643,plain,
( ~ sQ10_spl
| ~ sQ28_spl
| c5_1(a525)
| c2_2(a525,a522) ),
inference(resolution,[status(thm)],[f257,f620]) ).
fof(f644,plain,
( ~ sQ10_spl
| ~ sQ28_spl
| c5_1(a525)
| ndr1_1(a525) ),
inference(resolution,[status(thm)],[f257,f622]) ).
fof(f645,definition,
( sQ116_spl
<=> c5_2(a525,a522) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f646,plain,
( ~ sQ116_spl
| c5_2(a525,a522) ),
inference(component_clause,[status(thm)],[f645]) ).
fof(f647,plain,
( sQ116_spl
| ~ c5_2(a525,a522) ),
inference(component_clause,[status(thm)],[f645]) ).
fof(f648,plain,
( ~ sQ10_spl
| ~ sQ28_spl
| sQ114_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f642,f645,f635,f256,f179]) ).
fof(f649,definition,
( sQ117_spl
<=> c2_2(a525,a522) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f650,plain,
( ~ sQ117_spl
| c2_2(a525,a522) ),
inference(component_clause,[status(thm)],[f649]) ).
fof(f652,plain,
( ~ sQ10_spl
| ~ sQ28_spl
| sQ114_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f643,f649,f635,f256,f179]) ).
fof(f653,plain,
( ~ sQ10_spl
| ~ sQ28_spl
| sQ114_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f644,f240,f635,f256,f179]) ).
fof(f657,plain,
( ~ sQ19_spl
| ~ sQ89_spl
| c4_1(a540)
| ~ c4_2(a540,a524)
| ~ c3_2(a540,sK0_skl)
| ~ c2_2(a540,sK0_skl)
| ~ ndr1_1(a540) ),
inference(resolution,[status(thm)],[f514,f214]) ).
fof(f658,plain,
( ~ sQ17_spl
| ~ sQ89_spl
| c4_1(a540)
| c1_2(a540,a524)
| ~ c3_2(a540,sK0_skl)
| ~ c2_2(a540,sK0_skl)
| ~ ndr1_1(a540) ),
inference(resolution,[status(thm)],[f514,f206]) ).
fof(f659,plain,
( ~ sQ18_spl
| ~ sQ89_spl
| c4_1(a540)
| c5_2(a540,a524)
| ~ c3_2(a540,sK0_skl)
| ~ c2_2(a540,sK0_skl)
| ~ ndr1_1(a540) ),
inference(resolution,[status(thm)],[f514,f210]) ).
fof(f660,definition,
( sQ118_spl
<=> c4_2(a540,a524) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f662,plain,
( sQ118_spl
| ~ c4_2(a540,a524) ),
inference(component_clause,[status(thm)],[f660]) ).
fof(f663,plain,
( ~ sQ19_spl
| ~ sQ89_spl
| sQ85_spl
| ~ sQ118_spl
| ~ sQ88_spl
| ~ sQ90_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f657,f501,f517,f509,f660,f497,f513,f213]) ).
fof(f664,definition,
( sQ119_spl
<=> c1_2(a540,a524) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f665,plain,
( ~ sQ119_spl
| c1_2(a540,a524) ),
inference(component_clause,[status(thm)],[f664]) ).
fof(f666,plain,
( sQ119_spl
| ~ c1_2(a540,a524) ),
inference(component_clause,[status(thm)],[f664]) ).
fof(f667,plain,
( ~ sQ17_spl
| ~ sQ89_spl
| sQ85_spl
| sQ119_spl
| ~ sQ88_spl
| ~ sQ90_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f658,f501,f517,f509,f664,f497,f513,f205]) ).
fof(f668,definition,
( sQ120_spl
<=> c5_2(a540,a524) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f669,plain,
( ~ sQ120_spl
| c5_2(a540,a524) ),
inference(component_clause,[status(thm)],[f668]) ).
fof(f670,plain,
( sQ120_spl
| ~ c5_2(a540,a524) ),
inference(component_clause,[status(thm)],[f668]) ).
fof(f671,plain,
( ~ sQ18_spl
| ~ sQ89_spl
| sQ85_spl
| sQ120_spl
| ~ sQ88_spl
| ~ sQ90_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f659,f501,f517,f509,f668,f497,f513,f209]) ).
fof(f672,plain,
( ~ sQ49_spl
| ~ sQ76_spl
| c5_1(a544)
| c1_2(a544,a545)
| c4_2(a544,a545)
| ~ ndr1_1(a544) ),
inference(resolution,[status(thm)],[f459,f340]) ).
fof(f673,definition,
( sQ121_spl
<=> c4_2(a544,a545) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f674,plain,
( ~ sQ121_spl
| c4_2(a544,a545) ),
inference(component_clause,[status(thm)],[f673]) ).
fof(f676,definition,
( sQ122_spl
<=> c5_1(a544) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f677,plain,
( ~ sQ122_spl
| c5_1(a544) ),
inference(component_clause,[status(thm)],[f676]) ).
fof(f679,plain,
( ~ sQ49_spl
| ~ sQ76_spl
| sQ122_spl
| sQ77_spl
| sQ121_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f672,f454,f673,f462,f676,f458,f339]) ).
fof(f680,plain,
( ~ sQ112_spl
| ~ sQ50_spl
| c1_2(a525,a535)
| c3_2(a525,a535)
| c4_1(a525)
| c1_1(a525) ),
inference(resolution,[status(thm)],[f344,f628]) ).
fof(f681,definition,
( sQ123_spl
<=> c1_1(a525) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f682,plain,
( ~ sQ123_spl
| c1_1(a525) ),
inference(component_clause,[status(thm)],[f681]) ).
fof(f684,definition,
( sQ124_spl
<=> c4_1(a525) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f685,plain,
( ~ sQ124_spl
| c4_1(a525) ),
inference(component_clause,[status(thm)],[f684]) ).
fof(f687,definition,
( sQ125_spl
<=> c3_2(a525,a535) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f688,plain,
( ~ sQ125_spl
| c3_2(a525,a535) ),
inference(component_clause,[status(thm)],[f687]) ).
fof(f690,definition,
( sQ126_spl
<=> c1_2(a525,a535) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f691,plain,
( ~ sQ126_spl
| c1_2(a525,a535) ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f692,plain,
( sQ126_spl
| ~ c1_2(a525,a535) ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f693,plain,
( ~ sQ112_spl
| ~ sQ50_spl
| sQ126_spl
| sQ125_spl
| sQ124_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f680,f681,f684,f687,f690,f343,f627]) ).
fof(f694,plain,
( ~ sQ57_spl
| ~ sQ36_spl
| c2_2(a529,a539)
| c3_2(a529,a531)
| ~ c1_2(a529,a531)
| ~ ndr1_1(a529)
| c4_1(a529) ),
inference(resolution,[status(thm)],[f290,f372]) ).
fof(f695,plain,
( ~ sQ58_spl
| ~ sQ36_spl
| c1_2(a529,a539)
| c3_2(a529,a531)
| ~ c1_2(a529,a531)
| ~ ndr1_1(a529)
| c4_1(a529) ),
inference(resolution,[status(thm)],[f290,f376]) ).
fof(f696,plain,
( ~ sQ59_spl
| ~ sQ36_spl
| c5_2(a529,a539)
| c3_2(a529,a531)
| ~ c1_2(a529,a531)
| ~ ndr1_1(a529)
| c4_1(a529) ),
inference(resolution,[status(thm)],[f290,f380]) ).
fof(f697,definition,
( sQ127_spl
<=> c3_2(a529,a531) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f698,plain,
( ~ sQ127_spl
| c3_2(a529,a531) ),
inference(component_clause,[status(thm)],[f697]) ).
fof(f700,definition,
( sQ128_spl
<=> c2_2(a529,a539) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f701,plain,
( ~ sQ128_spl
| c2_2(a529,a539) ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f703,plain,
( ~ sQ57_spl
| ~ sQ36_spl
| sQ128_spl
| sQ127_spl
| ~ sQ35_spl
| ~ sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f694,f264,f268,f285,f697,f700,f289,f371]) ).
fof(f704,definition,
( sQ129_spl
<=> c1_2(a529,a539) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f705,plain,
( ~ sQ129_spl
| c1_2(a529,a539) ),
inference(component_clause,[status(thm)],[f704]) ).
fof(f706,plain,
( sQ129_spl
| ~ c1_2(a529,a539) ),
inference(component_clause,[status(thm)],[f704]) ).
fof(f707,plain,
( ~ sQ58_spl
| ~ sQ36_spl
| sQ129_spl
| sQ127_spl
| ~ sQ35_spl
| ~ sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f695,f264,f268,f285,f697,f704,f289,f375]) ).
fof(f708,definition,
( sQ130_spl
<=> c5_2(a529,a539) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f709,plain,
( ~ sQ130_spl
| c5_2(a529,a539) ),
inference(component_clause,[status(thm)],[f708]) ).
fof(f711,plain,
( ~ sQ59_spl
| ~ sQ36_spl
| sQ130_spl
| sQ127_spl
| ~ sQ35_spl
| ~ sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f696,f264,f268,f285,f697,f708,f289,f379]) ).
fof(f712,plain,
( ~ sQ72_spl
| sQ14_spl
| ndr1_1(a521) ),
inference(resolution,[status(thm)],[f196,f525]) ).
fof(f713,plain,
( ~ sQ69_spl
| ~ sQ34_spl
| ~ c2_2(a529,a542)
| c4_2(a529,a530)
| ~ ndr1_1(a529)
| ~ c2_1(a529) ),
inference(resolution,[status(thm)],[f281,f431]) ).
fof(f714,plain,
( ~ sQ70_spl
| ~ sQ34_spl
| ~ c4_2(a529,a542)
| c4_2(a529,a530)
| ~ ndr1_1(a529)
| ~ c2_1(a529) ),
inference(resolution,[status(thm)],[f281,f435]) ).
fof(f715,plain,
( ~ sQ71_spl
| ~ sQ34_spl
| ~ c5_2(a529,a542)
| c4_2(a529,a530)
| ~ ndr1_1(a529)
| ~ c2_1(a529) ),
inference(resolution,[status(thm)],[f281,f439]) ).
fof(f716,plain,
( ~ sQ19_spl
| ~ sQ34_spl
| c4_1(a529)
| ~ c4_2(a529,a524)
| ~ c3_2(a529,a530)
| ~ c2_2(a529,a530)
| ~ ndr1_1(a529) ),
inference(resolution,[status(thm)],[f281,f214]) ).
fof(f717,plain,
( ~ sQ17_spl
| ~ sQ34_spl
| c4_1(a529)
| c1_2(a529,a524)
| ~ c3_2(a529,a530)
| ~ c2_2(a529,a530)
| ~ ndr1_1(a529) ),
inference(resolution,[status(thm)],[f281,f206]) ).
fof(f718,plain,
( ~ sQ18_spl
| ~ sQ34_spl
| c4_1(a529)
| c5_2(a529,a524)
| ~ c3_2(a529,a530)
| ~ c2_2(a529,a530)
| ~ ndr1_1(a529) ),
inference(resolution,[status(thm)],[f281,f210]) ).
fof(f719,definition,
( sQ131_spl
<=> c2_1(a529) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f721,plain,
( sQ131_spl
| ~ c2_1(a529) ),
inference(component_clause,[status(thm)],[f719]) ).
fof(f722,definition,
( sQ132_spl
<=> c2_2(a529,a542) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f724,plain,
( sQ132_spl
| ~ c2_2(a529,a542) ),
inference(component_clause,[status(thm)],[f722]) ).
fof(f725,plain,
( ~ sQ69_spl
| ~ sQ34_spl
| ~ sQ132_spl
| sQ33_spl
| ~ sQ31_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f713,f719,f268,f276,f722,f280,f430]) ).
fof(f726,definition,
( sQ133_spl
<=> c4_2(a529,a542) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f728,plain,
( sQ133_spl
| ~ c4_2(a529,a542) ),
inference(component_clause,[status(thm)],[f726]) ).
fof(f729,plain,
( ~ sQ70_spl
| ~ sQ34_spl
| ~ sQ133_spl
| sQ33_spl
| ~ sQ31_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f714,f719,f268,f276,f726,f280,f434]) ).
fof(f730,definition,
( sQ134_spl
<=> c5_2(a529,a542) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f732,plain,
( sQ134_spl
| ~ c5_2(a529,a542) ),
inference(component_clause,[status(thm)],[f730]) ).
fof(f733,plain,
( ~ sQ71_spl
| ~ sQ34_spl
| ~ sQ134_spl
| sQ33_spl
| ~ sQ31_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f715,f719,f268,f276,f730,f280,f438]) ).
fof(f734,definition,
( sQ135_spl
<=> c2_2(a529,a530) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f736,plain,
( sQ135_spl
| ~ c2_2(a529,a530) ),
inference(component_clause,[status(thm)],[f734]) ).
fof(f737,definition,
( sQ136_spl
<=> c3_2(a529,a530) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f738,plain,
( ~ sQ136_spl
| c3_2(a529,a530) ),
inference(component_clause,[status(thm)],[f737]) ).
fof(f739,plain,
( sQ136_spl
| ~ c3_2(a529,a530) ),
inference(component_clause,[status(thm)],[f737]) ).
fof(f740,definition,
( sQ137_spl
<=> c4_2(a529,a524) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f741,plain,
( ~ sQ137_spl
| c4_2(a529,a524) ),
inference(component_clause,[status(thm)],[f740]) ).
fof(f742,plain,
( sQ137_spl
| ~ c4_2(a529,a524) ),
inference(component_clause,[status(thm)],[f740]) ).
fof(f743,plain,
( ~ sQ19_spl
| ~ sQ34_spl
| sQ30_spl
| ~ sQ137_spl
| ~ sQ136_spl
| ~ sQ135_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f716,f268,f734,f737,f740,f264,f280,f213]) ).
fof(f744,definition,
( sQ138_spl
<=> c1_2(a529,a524) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f745,plain,
( ~ sQ138_spl
| c1_2(a529,a524) ),
inference(component_clause,[status(thm)],[f744]) ).
fof(f746,plain,
( sQ138_spl
| ~ c1_2(a529,a524) ),
inference(component_clause,[status(thm)],[f744]) ).
fof(f747,plain,
( ~ sQ17_spl
| ~ sQ34_spl
| sQ30_spl
| sQ138_spl
| ~ sQ136_spl
| ~ sQ135_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f717,f268,f734,f737,f744,f264,f280,f205]) ).
fof(f748,definition,
( sQ139_spl
<=> c5_2(a529,a524) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f749,plain,
( ~ sQ139_spl
| c5_2(a529,a524) ),
inference(component_clause,[status(thm)],[f748]) ).
fof(f751,plain,
( ~ sQ18_spl
| ~ sQ34_spl
| sQ30_spl
| sQ139_spl
| ~ sQ136_spl
| ~ sQ135_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f718,f268,f734,f737,f748,f264,f280,f209]) ).
fof(f752,plain,
( ~ sQ57_spl
| ~ sQ32_spl
| c2_2(a529,a539)
| c3_2(a529,a530)
| ~ c1_2(a529,a530)
| ~ ndr1_1(a529)
| c4_1(a529) ),
inference(resolution,[status(thm)],[f273,f372]) ).
fof(f753,plain,
( ~ sQ58_spl
| ~ sQ32_spl
| c1_2(a529,a539)
| c3_2(a529,a530)
| ~ c1_2(a529,a530)
| ~ ndr1_1(a529)
| c4_1(a529) ),
inference(resolution,[status(thm)],[f273,f376]) ).
fof(f754,plain,
( ~ sQ59_spl
| ~ sQ32_spl
| c5_2(a529,a539)
| c3_2(a529,a530)
| ~ c1_2(a529,a530)
| ~ ndr1_1(a529)
| c4_1(a529) ),
inference(resolution,[status(thm)],[f273,f380]) ).
fof(f755,plain,
( ~ sQ57_spl
| ~ sQ32_spl
| sQ128_spl
| sQ136_spl
| ~ sQ34_spl
| ~ sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f752,f264,f268,f280,f737,f700,f272,f371]) ).
fof(f756,plain,
( ~ sQ58_spl
| ~ sQ32_spl
| sQ129_spl
| sQ136_spl
| ~ sQ34_spl
| ~ sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f753,f264,f268,f280,f737,f704,f272,f375]) ).
fof(f757,plain,
( ~ sQ59_spl
| ~ sQ32_spl
| sQ130_spl
| sQ136_spl
| ~ sQ34_spl
| ~ sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f754,f264,f268,f280,f737,f708,f272,f379]) ).
fof(f758,plain,
( ~ sQ38_spl
| ~ sQ79_spl
| c2_1(a527) ),
inference(resolution,[status(thm)],[f472,f298]) ).
fof(f759,plain,
( ~ sQ19_spl
| ~ sQ82_spl
| c4_1(a527)
| ~ c4_2(a527,a524)
| ~ c3_2(a527,a528)
| ~ c2_2(a527,a528)
| ~ ndr1_1(a527) ),
inference(resolution,[status(thm)],[f484,f214]) ).
fof(f760,plain,
( ~ sQ17_spl
| ~ sQ82_spl
| c4_1(a527)
| c1_2(a527,a524)
| ~ c3_2(a527,a528)
| ~ c2_2(a527,a528)
| ~ ndr1_1(a527) ),
inference(resolution,[status(thm)],[f484,f206]) ).
fof(f761,plain,
( ~ sQ18_spl
| ~ sQ82_spl
| c4_1(a527)
| c5_2(a527,a524)
| ~ c3_2(a527,a528)
| ~ c2_2(a527,a528)
| ~ ndr1_1(a527) ),
inference(resolution,[status(thm)],[f484,f210]) ).
fof(f762,definition,
( sQ140_spl
<=> c2_2(a527,a528) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f764,plain,
( sQ140_spl
| ~ c2_2(a527,a528) ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f765,definition,
( sQ141_spl
<=> c4_2(a527,a524) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f766,plain,
( ~ sQ141_spl
| c4_2(a527,a524) ),
inference(component_clause,[status(thm)],[f765]) ).
fof(f767,plain,
( sQ141_spl
| ~ c4_2(a527,a524) ),
inference(component_clause,[status(thm)],[f765]) ).
fof(f768,definition,
( sQ142_spl
<=> c4_1(a527) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f769,plain,
( ~ sQ142_spl
| c4_1(a527) ),
inference(component_clause,[status(thm)],[f768]) ).
fof(f771,plain,
( ~ sQ19_spl
| ~ sQ82_spl
| sQ142_spl
| ~ sQ141_spl
| ~ sQ81_spl
| ~ sQ140_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f759,f475,f762,f479,f765,f768,f483,f213]) ).
fof(f772,definition,
( sQ143_spl
<=> c1_2(a527,a524) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f773,plain,
( ~ sQ143_spl
| c1_2(a527,a524) ),
inference(component_clause,[status(thm)],[f772]) ).
fof(f774,plain,
( sQ143_spl
| ~ c1_2(a527,a524) ),
inference(component_clause,[status(thm)],[f772]) ).
fof(f775,plain,
( ~ sQ17_spl
| ~ sQ82_spl
| sQ142_spl
| sQ143_spl
| ~ sQ81_spl
| ~ sQ140_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f760,f475,f762,f479,f772,f768,f483,f205]) ).
fof(f776,definition,
( sQ144_spl
<=> c5_2(a527,a524) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f777,plain,
( ~ sQ144_spl
| c5_2(a527,a524) ),
inference(component_clause,[status(thm)],[f776]) ).
fof(f779,plain,
( ~ sQ18_spl
| ~ sQ82_spl
| sQ142_spl
| sQ144_spl
| ~ sQ81_spl
| ~ sQ140_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f761,f475,f762,f479,f776,f768,f483,f209]) ).
fof(f780,plain,
( ~ sQ38_spl
| ~ sQ103_spl
| c2_1(a533) ),
inference(resolution,[status(thm)],[f589,f298]) ).
fof(f781,plain,
( ~ sQ38_spl
| ~ sQ107_spl
| c2_1(a541) ),
inference(resolution,[status(thm)],[f605,f298]) ).
fof(f782,plain,
( ~ sQ38_spl
| ~ sQ114_spl
| c2_1(a525) ),
inference(resolution,[status(thm)],[f636,f298]) ).
fof(f783,plain,
( ~ sQ38_spl
| ~ sQ114_spl
| sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f782,f238]) ).
fof(f784,plain,
( ~ sQ38_spl
| ~ sQ114_spl
| sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f783]) ).
fof(f785,plain,
( ~ sQ114_spl
| sP0_prd(a525) ),
inference(resolution,[status(thm)],[f107,f636]) ).
fof(f786,plain,
( ~ sQ107_spl
| sP0_prd(a541) ),
inference(resolution,[status(thm)],[f107,f605]) ).
fof(f787,plain,
( ~ sQ103_spl
| sP0_prd(a533) ),
inference(resolution,[status(thm)],[f107,f589]) ).
fof(f788,plain,
( ~ sQ79_spl
| sP0_prd(a527) ),
inference(resolution,[status(thm)],[f107,f472]) ).
fof(f789,plain,
( ~ sQ39_spl
| ~ sQ94_spl
| c1_1(a536) ),
inference(resolution,[status(thm)],[f544,f623]) ).
fof(f790,plain,
( ~ sQ57_spl
| ~ sQ94_spl
| c2_2(a536,a539)
| c3_2(a536,a532)
| ~ c1_2(a536,a532)
| ~ ndr1_1(a536)
| c4_1(a536) ),
inference(resolution,[status(thm)],[f544,f372]) ).
fof(f791,plain,
( ~ sQ58_spl
| ~ sQ94_spl
| c1_2(a536,a539)
| c3_2(a536,a532)
| ~ c1_2(a536,a532)
| ~ ndr1_1(a536)
| c4_1(a536) ),
inference(resolution,[status(thm)],[f544,f376]) ).
fof(f792,plain,
( ~ sQ59_spl
| ~ sQ94_spl
| c5_2(a536,a539)
| c3_2(a536,a532)
| ~ c1_2(a536,a532)
| ~ ndr1_1(a536)
| c4_1(a536) ),
inference(resolution,[status(thm)],[f544,f380]) ).
fof(f793,definition,
( sQ145_spl
<=> c1_2(a536,a532) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f795,plain,
( sQ145_spl
| ~ c1_2(a536,a532) ),
inference(component_clause,[status(thm)],[f793]) ).
fof(f796,definition,
( sQ146_spl
<=> c2_2(a536,a539) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f797,plain,
( ~ sQ146_spl
| c2_2(a536,a539) ),
inference(component_clause,[status(thm)],[f796]) ).
fof(f799,plain,
( ~ sQ57_spl
| ~ sQ94_spl
| sQ146_spl
| sQ93_spl
| ~ sQ145_spl
| ~ sQ52_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f790,f548,f352,f793,f540,f796,f543,f371]) ).
fof(f800,definition,
( sQ147_spl
<=> c1_2(a536,a539) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f801,plain,
( ~ sQ147_spl
| c1_2(a536,a539) ),
inference(component_clause,[status(thm)],[f800]) ).
fof(f802,plain,
( sQ147_spl
| ~ c1_2(a536,a539) ),
inference(component_clause,[status(thm)],[f800]) ).
fof(f803,plain,
( ~ sQ58_spl
| ~ sQ94_spl
| sQ147_spl
| sQ93_spl
| ~ sQ145_spl
| ~ sQ52_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f791,f548,f352,f793,f540,f800,f543,f375]) ).
fof(f804,definition,
( sQ148_spl
<=> c5_2(a536,a539) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f805,plain,
( ~ sQ148_spl
| c5_2(a536,a539) ),
inference(component_clause,[status(thm)],[f804]) ).
fof(f807,plain,
( ~ sQ59_spl
| ~ sQ94_spl
| sQ148_spl
| sQ93_spl
| ~ sQ145_spl
| ~ sQ52_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f792,f548,f352,f793,f540,f804,f543,f379]) ).
fof(f808,plain,
( ~ sQ39_spl
| ~ sQ93_spl
| c1_1(a536) ),
inference(resolution,[status(thm)],[f541,f624]) ).
fof(f809,plain,
( ~ sQ1_spl
| ~ sQ91_spl
| c3_2(a536,a532)
| ~ ndr1_1(a536)
| c5_1(a536) ),
inference(resolution,[status(thm)],[f535,f148]) ).
fof(f810,plain,
( ~ sQ1_spl
| ~ sQ91_spl
| sQ93_spl
| ~ sQ52_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f809,f359,f352,f540,f534,f147]) ).
fof(f811,plain,
( ~ sQ1_spl
| ~ sQ96_spl
| c3_2(a536,a535)
| ~ ndr1_1(a536)
| c5_1(a536) ),
inference(resolution,[status(thm)],[f552,f148]) ).
fof(f812,definition,
( sQ149_spl
<=> c3_2(a536,a535) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f813,plain,
( ~ sQ149_spl
| c3_2(a536,a535) ),
inference(component_clause,[status(thm)],[f812]) ).
fof(f815,plain,
( ~ sQ1_spl
| ~ sQ96_spl
| sQ149_spl
| ~ sQ52_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f811,f359,f352,f812,f551,f147]) ).
fof(f816,plain,
( ~ sQ54_spl
| sP0_prd(a536) ),
inference(resolution,[status(thm)],[f360,f107]) ).
fof(f817,plain,
( ~ sQ122_spl
| sP0_prd(a544) ),
inference(resolution,[status(thm)],[f677,f107]) ).
fof(f818,plain,
( ~ sQ72_spl
| sQ14_spl
| sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f712,f189]) ).
fof(f819,plain,
( ~ sQ72_spl
| sQ14_spl
| sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f818]) ).
fof(f820,plain,
! [X0] :
( ~ sQ39_spl
| c1_1(X0)
| ndr1_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f118,f302]) ).
fof(f821,plain,
( sQ14_spl
| ~ sQ39_spl
| ndr1_1(a521) ),
inference(resolution,[status(thm)],[f820,f196]) ).
fof(f822,plain,
( ~ sQ93_spl
| ~ sQ49_spl
| c5_1(a536)
| c1_2(a536,a532)
| c4_2(a536,a532)
| ~ ndr1_1(a536) ),
inference(resolution,[status(thm)],[f340,f541]) ).
fof(f824,definition,
( sQ150_spl
<=> c4_2(a536,a532) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f825,plain,
( ~ sQ150_spl
| c4_2(a536,a532) ),
inference(component_clause,[status(thm)],[f824]) ).
fof(f827,plain,
( ~ sQ93_spl
| ~ sQ49_spl
| sQ54_spl
| sQ145_spl
| sQ150_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f822,f352,f824,f793,f359,f339,f540]) ).
fof(f829,plain,
( ~ sQ39_spl
| ~ sQ66_spl
| c1_1(a541)
| c3_2(a541,a532)
| c2_2(a541,a532) ),
inference(resolution,[status(thm)],[f419,f625]) ).
fof(f830,definition,
( sQ151_spl
<=> c2_2(a541,a532) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f831,plain,
( ~ sQ151_spl
| c2_2(a541,a532) ),
inference(component_clause,[status(thm)],[f830]) ).
fof(f833,definition,
( sQ152_spl
<=> c3_2(a541,a532) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f834,plain,
( ~ sQ152_spl
| c3_2(a541,a532) ),
inference(component_clause,[status(thm)],[f833]) ).
fof(f835,plain,
( sQ152_spl
| ~ c3_2(a541,a532) ),
inference(component_clause,[status(thm)],[f833]) ).
fof(f836,plain,
( ~ sQ39_spl
| ~ sQ66_spl
| sQ108_spl
| sQ152_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f829,f830,f833,f607,f418,f301]) ).
fof(f837,plain,
! [X0,X1] :
( ~ sQ93_spl
| ~ sQ37_spl
| c4_2(a536,X1)
| ~ c5_2(a536,X1)
| ~ c3_2(a536,X1)
| c4_2(a536,X0)
| ~ c1_2(a536,X0)
| c4_2(a536,a532)
| c2_2(a536,a532)
| ~ ndr1_1(a536) ),
inference(resolution,[status(thm)],[f522,f541]) ).
fof(f839,definition,
! [X0] :
( sQ153_spl
<=> ( c4_2(a536,X0)
| ~ c1_2(a536,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f840,plain,
! [X0] :
( ~ sQ153_spl
| c4_2(a536,X0)
| ~ c1_2(a536,X0) ),
inference(component_clause,[status(thm)],[f839]) ).
fof(f842,definition,
! [X1] :
( sQ154_spl
<=> ( c4_2(a536,X1)
| ~ c5_2(a536,X1)
| ~ c3_2(a536,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f843,plain,
! [X0] :
( ~ sQ154_spl
| c4_2(a536,X0)
| ~ c5_2(a536,X0)
| ~ c3_2(a536,X0) ),
inference(component_clause,[status(thm)],[f842]) ).
fof(f845,plain,
( ~ sQ93_spl
| ~ sQ37_spl
| sQ154_spl
| sQ153_spl
| sQ150_spl
| sQ91_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f837,f352,f534,f824,f839,f842,f294,f540]) ).
fof(f847,plain,
( ~ sQ123_spl
| sP4_prd(a525) ),
inference(resolution,[status(thm)],[f143,f682]) ).
fof(f848,plain,
( ~ sQ108_spl
| sP4_prd(a541) ),
inference(resolution,[status(thm)],[f143,f608]) ).
fof(f849,plain,
( ~ sQ104_spl
| sP4_prd(a533) ),
inference(resolution,[status(thm)],[f143,f592]) ).
fof(f850,plain,
( ~ sQ74_spl
| sP4_prd(a544) ),
inference(resolution,[status(thm)],[f143,f451]) ).
fof(f851,plain,
( ~ sQ9_spl
| sP4_prd(a520) ),
inference(resolution,[status(thm)],[f143,f176]) ).
fof(f852,plain,
! [X0] :
( ~ sQ39_spl
| ndr1_1(X0)
| sP4_prd(X0) ),
inference(resolution,[status(thm)],[f143,f820]) ).
fof(f853,plain,
! [X0] :
( ~ sQ39_spl
| c1_2(X0,a543)
| c5_2(X0,a543)
| ~ c2_2(X0,a543)
| sP4_prd(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f142,f852]) ).
fof(f861,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ60_spl
| c3_1(a537)
| c4_2(a537,a534)
| c4_2(a537,X0)
| c1_2(a537,X0)
| c3_2(a537,X0) ),
inference(resolution,[status(thm)],[f384,f324]) ).
fof(f862,definition,
! [X0] :
( sQ155_spl
<=> ( c4_2(a537,X0)
| c1_2(a537,X0)
| c3_2(a537,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f863,plain,
! [X0] :
( ~ sQ155_spl
| c4_2(a537,X0)
| c1_2(a537,X0)
| c3_2(a537,X0) ),
inference(component_clause,[status(thm)],[f862]) ).
fof(f865,definition,
( sQ156_spl
<=> c4_2(a537,a534) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f866,plain,
( ~ sQ156_spl
| c4_2(a537,a534) ),
inference(component_clause,[status(thm)],[f865]) ).
fof(f868,definition,
( sQ157_spl
<=> c3_1(a537) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f869,plain,
( ~ sQ157_spl
| c3_1(a537) ),
inference(component_clause,[status(thm)],[f868]) ).
fof(f870,plain,
( sQ157_spl
| ~ c3_1(a537) ),
inference(component_clause,[status(thm)],[f868]) ).
fof(f871,plain,
( ~ sQ45_spl
| ~ sQ60_spl
| sQ157_spl
| sQ156_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f861,f862,f865,f868,f383,f323]) ).
fof(f872,plain,
( ~ sQ10_spl
| ~ sQ83_spl
| c5_1(a527)
| c5_2(a527,a522) ),
inference(resolution,[status(thm)],[f488,f621]) ).
fof(f873,plain,
( ~ sQ10_spl
| ~ sQ83_spl
| c5_1(a527)
| c2_2(a527,a522) ),
inference(resolution,[status(thm)],[f488,f620]) ).
fof(f874,plain,
( ~ sQ10_spl
| ~ sQ83_spl
| c5_1(a527)
| ndr1_1(a527) ),
inference(resolution,[status(thm)],[f488,f622]) ).
fof(f875,definition,
( sQ158_spl
<=> c5_2(a527,a522) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f876,plain,
( ~ sQ158_spl
| c5_2(a527,a522) ),
inference(component_clause,[status(thm)],[f875]) ).
fof(f878,plain,
( ~ sQ10_spl
| ~ sQ83_spl
| sQ79_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f872,f875,f471,f487,f179]) ).
fof(f879,definition,
( sQ159_spl
<=> c2_2(a527,a522) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f880,plain,
( ~ sQ159_spl
| c2_2(a527,a522) ),
inference(component_clause,[status(thm)],[f879]) ).
fof(f882,plain,
( ~ sQ10_spl
| ~ sQ83_spl
| sQ79_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f873,f879,f471,f487,f179]) ).
fof(f883,plain,
( ~ sQ10_spl
| ~ sQ83_spl
| sQ79_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f874,f475,f471,f487,f179]) ).
fof(f884,plain,
( ~ sQ19_spl
| ~ sQ77_spl
| c4_1(a544)
| ~ c4_2(a544,a524)
| ~ c3_2(a544,a545)
| ~ c2_2(a544,a545)
| ~ ndr1_1(a544) ),
inference(resolution,[status(thm)],[f463,f214]) ).
fof(f885,plain,
( ~ sQ71_spl
| ~ sQ77_spl
| ~ c5_2(a544,a542)
| c4_2(a544,a545)
| ~ ndr1_1(a544)
| ~ c2_1(a544) ),
inference(resolution,[status(thm)],[f463,f439]) ).
fof(f886,plain,
( ~ sQ70_spl
| ~ sQ77_spl
| ~ c4_2(a544,a542)
| c4_2(a544,a545)
| ~ ndr1_1(a544)
| ~ c2_1(a544) ),
inference(resolution,[status(thm)],[f463,f435]) ).
fof(f887,plain,
( ~ sQ69_spl
| ~ sQ77_spl
| ~ c2_2(a544,a542)
| c4_2(a544,a545)
| ~ ndr1_1(a544)
| ~ c2_1(a544) ),
inference(resolution,[status(thm)],[f463,f431]) ).
fof(f888,plain,
( ~ sQ17_spl
| ~ sQ77_spl
| c4_1(a544)
| c1_2(a544,a524)
| ~ c3_2(a544,a545)
| ~ c2_2(a544,a545)
| ~ ndr1_1(a544) ),
inference(resolution,[status(thm)],[f463,f206]) ).
fof(f889,plain,
( ~ sQ18_spl
| ~ sQ77_spl
| c4_1(a544)
| c5_2(a544,a524)
| ~ c3_2(a544,a545)
| ~ c2_2(a544,a545)
| ~ ndr1_1(a544) ),
inference(resolution,[status(thm)],[f463,f210]) ).
fof(f890,definition,
( sQ160_spl
<=> c2_2(a544,a545) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f892,plain,
( sQ160_spl
| ~ c2_2(a544,a545) ),
inference(component_clause,[status(thm)],[f890]) ).
fof(f893,definition,
( sQ161_spl
<=> c4_2(a544,a524) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f894,plain,
( ~ sQ161_spl
| c4_2(a544,a524) ),
inference(component_clause,[status(thm)],[f893]) ).
fof(f895,plain,
( sQ161_spl
| ~ c4_2(a544,a524) ),
inference(component_clause,[status(thm)],[f893]) ).
fof(f896,plain,
( ~ sQ19_spl
| ~ sQ77_spl
| sQ73_spl
| ~ sQ161_spl
| ~ sQ76_spl
| ~ sQ160_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f884,f454,f890,f458,f893,f446,f462,f213]) ).
fof(f897,definition,
( sQ162_spl
<=> c2_1(a544) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f899,plain,
( sQ162_spl
| ~ c2_1(a544) ),
inference(component_clause,[status(thm)],[f897]) ).
fof(f900,definition,
( sQ163_spl
<=> c5_2(a544,a542) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f902,plain,
( sQ163_spl
| ~ c5_2(a544,a542) ),
inference(component_clause,[status(thm)],[f900]) ).
fof(f903,plain,
( ~ sQ71_spl
| ~ sQ77_spl
| ~ sQ163_spl
| sQ121_spl
| ~ sQ75_spl
| ~ sQ162_spl ),
inference(split_clause,[status(thm)],[f885,f897,f454,f673,f900,f462,f438]) ).
fof(f904,definition,
( sQ164_spl
<=> c4_2(a544,a542) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f906,plain,
( sQ164_spl
| ~ c4_2(a544,a542) ),
inference(component_clause,[status(thm)],[f904]) ).
fof(f907,plain,
( ~ sQ70_spl
| ~ sQ77_spl
| ~ sQ164_spl
| sQ121_spl
| ~ sQ75_spl
| ~ sQ162_spl ),
inference(split_clause,[status(thm)],[f886,f897,f454,f673,f904,f462,f434]) ).
fof(f908,definition,
( sQ165_spl
<=> c2_2(a544,a542) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f910,plain,
( sQ165_spl
| ~ c2_2(a544,a542) ),
inference(component_clause,[status(thm)],[f908]) ).
fof(f911,plain,
( ~ sQ69_spl
| ~ sQ77_spl
| ~ sQ165_spl
| sQ121_spl
| ~ sQ75_spl
| ~ sQ162_spl ),
inference(split_clause,[status(thm)],[f887,f897,f454,f673,f908,f462,f430]) ).
fof(f912,definition,
( sQ166_spl
<=> c1_2(a544,a524) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f913,plain,
( ~ sQ166_spl
| c1_2(a544,a524) ),
inference(component_clause,[status(thm)],[f912]) ).
fof(f914,plain,
( sQ166_spl
| ~ c1_2(a544,a524) ),
inference(component_clause,[status(thm)],[f912]) ).
fof(f915,plain,
( ~ sQ17_spl
| ~ sQ77_spl
| sQ73_spl
| sQ166_spl
| ~ sQ76_spl
| ~ sQ160_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f888,f454,f890,f458,f912,f446,f462,f205]) ).
fof(f916,definition,
( sQ167_spl
<=> c5_2(a544,a524) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f917,plain,
( ~ sQ167_spl
| c5_2(a544,a524) ),
inference(component_clause,[status(thm)],[f916]) ).
fof(f919,plain,
( ~ sQ18_spl
| ~ sQ77_spl
| sQ73_spl
| sQ167_spl
| ~ sQ76_spl
| ~ sQ160_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f889,f454,f890,f458,f916,f446,f462,f209]) ).
fof(f920,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ72_spl
| c1_2(X0,a543)
| c5_2(X0,a543)
| sP4_prd(X0)
| c1_1(X0) ),
inference(resolution,[status(thm)],[f532,f853]) ).
fof(f921,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ72_spl
| c1_2(X0,a543)
| c5_2(X0,a543)
| sP4_prd(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f920,f143]) ).
fof(f923,plain,
( ~ sQ13_spl
| ~ sQ39_spl
| ~ sQ72_spl
| ~ c2_2(a521,a543)
| c1_2(a521,a543)
| c1_2(a521,a543)
| sP4_prd(a521) ),
inference(resolution,[status(thm)],[f921,f191]) ).
fof(f924,plain,
( ~ sQ67_spl
| ~ sQ39_spl
| ~ sQ72_spl
| c3_2(a541,a543)
| c2_2(a541,a543)
| c1_2(a541,a543)
| sP4_prd(a541) ),
inference(resolution,[status(thm)],[f921,f423]) ).
fof(f939,definition,
( sQ171_spl
<=> sP4_prd(a521) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f940,plain,
( ~ sQ171_spl
| sP4_prd(a521) ),
inference(component_clause,[status(thm)],[f939]) ).
fof(f942,definition,
( sQ172_spl
<=> c1_2(a521,a543) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f943,plain,
( ~ sQ172_spl
| c1_2(a521,a543) ),
inference(component_clause,[status(thm)],[f942]) ).
fof(f944,plain,
( sQ172_spl
| ~ c1_2(a521,a543) ),
inference(component_clause,[status(thm)],[f942]) ).
fof(f945,definition,
( sQ173_spl
<=> c2_2(a521,a543) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f947,plain,
( sQ173_spl
| ~ c2_2(a521,a543) ),
inference(component_clause,[status(thm)],[f945]) ).
fof(f948,plain,
( ~ sQ13_spl
| ~ sQ39_spl
| ~ sQ72_spl
| ~ sQ173_spl
| sQ172_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f923,f939,f942,f945,f442,f301,f190]) ).
fof(f949,definition,
( sQ174_spl
<=> sP4_prd(a541) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f950,plain,
( ~ sQ174_spl
| sP4_prd(a541) ),
inference(component_clause,[status(thm)],[f949]) ).
fof(f951,plain,
( sQ174_spl
| ~ sP4_prd(a541) ),
inference(component_clause,[status(thm)],[f949]) ).
fof(f952,plain,
( ~ sQ67_spl
| ~ sQ39_spl
| ~ sQ72_spl
| sQ111_spl
| sQ110_spl
| sQ109_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f924,f949,f610,f613,f616,f442,f301,f422]) ).
fof(f955,plain,
( ~ sQ10_spl
| ~ sQ157_spl
| c5_1(a537)
| c5_2(a537,a522) ),
inference(resolution,[status(thm)],[f869,f621]) ).
fof(f956,plain,
( ~ sQ10_spl
| ~ sQ157_spl
| c5_1(a537)
| c2_2(a537,a522) ),
inference(resolution,[status(thm)],[f869,f620]) ).
fof(f957,plain,
( ~ sQ10_spl
| ~ sQ157_spl
| c5_1(a537)
| ndr1_1(a537) ),
inference(resolution,[status(thm)],[f869,f622]) ).
fof(f958,definition,
( sQ175_spl
<=> c5_2(a537,a522) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f959,plain,
( ~ sQ175_spl
| c5_2(a537,a522) ),
inference(component_clause,[status(thm)],[f958]) ).
fof(f961,plain,
( ~ sQ10_spl
| ~ sQ157_spl
| sQ63_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f955,f958,f404,f868,f179]) ).
fof(f962,definition,
( sQ176_spl
<=> c2_2(a537,a522) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f963,plain,
( ~ sQ176_spl
| c2_2(a537,a522) ),
inference(component_clause,[status(thm)],[f962]) ).
fof(f965,plain,
( ~ sQ10_spl
| ~ sQ157_spl
| sQ63_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f956,f962,f404,f868,f179]) ).
fof(f966,plain,
( ~ sQ10_spl
| ~ sQ157_spl
| sQ63_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f957,f383,f404,f868,f179]) ).
fof(f967,plain,
( ~ sQ71_spl
| ~ sQ100_spl
| ~ c5_2(a537,a542)
| c4_2(a537,a538)
| ~ ndr1_1(a537)
| ~ c2_1(a537) ),
inference(resolution,[status(thm)],[f575,f439]) ).
fof(f968,plain,
( ~ sQ70_spl
| ~ sQ100_spl
| ~ c4_2(a537,a542)
| c4_2(a537,a538)
| ~ ndr1_1(a537)
| ~ c2_1(a537) ),
inference(resolution,[status(thm)],[f575,f435]) ).
fof(f969,plain,
( ~ sQ69_spl
| ~ sQ100_spl
| ~ c2_2(a537,a542)
| c4_2(a537,a538)
| ~ ndr1_1(a537)
| ~ c2_1(a537) ),
inference(resolution,[status(thm)],[f575,f431]) ).
fof(f970,definition,
( sQ177_spl
<=> c2_1(a537) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f972,plain,
( sQ177_spl
| ~ c2_1(a537) ),
inference(component_clause,[status(thm)],[f970]) ).
fof(f973,definition,
( sQ178_spl
<=> c5_2(a537,a542) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f975,plain,
( sQ178_spl
| ~ c5_2(a537,a542) ),
inference(component_clause,[status(thm)],[f973]) ).
fof(f976,plain,
( ~ sQ71_spl
| ~ sQ100_spl
| ~ sQ178_spl
| sQ99_spl
| ~ sQ60_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f967,f970,f383,f571,f973,f574,f438]) ).
fof(f977,definition,
( sQ179_spl
<=> c4_2(a537,a542) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f979,plain,
( sQ179_spl
| ~ c4_2(a537,a542) ),
inference(component_clause,[status(thm)],[f977]) ).
fof(f980,plain,
( ~ sQ70_spl
| ~ sQ100_spl
| ~ sQ179_spl
| sQ99_spl
| ~ sQ60_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f968,f970,f383,f571,f977,f574,f434]) ).
fof(f981,definition,
( sQ180_spl
<=> c2_2(a537,a542) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f983,plain,
( sQ180_spl
| ~ c2_2(a537,a542) ),
inference(component_clause,[status(thm)],[f981]) ).
fof(f984,plain,
( ~ sQ69_spl
| ~ sQ100_spl
| ~ sQ180_spl
| sQ99_spl
| ~ sQ60_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f969,f970,f383,f571,f981,f574,f430]) ).
fof(f985,plain,
! [X0] :
( ~ sQ155_spl
| ~ sQ101_spl
| c4_2(a537,X0)
| c3_2(a537,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f863,f580]) ).
fof(f986,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ155_spl
| ~ sQ101_spl
| c4_2(a537,X0)
| ~ c5_2(a537,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f583,f985]) ).
fof(f987,plain,
( ~ sQ57_spl
| ~ sQ116_spl
| c2_2(a525,a539)
| c3_2(a525,a522)
| ~ c1_2(a525,a522)
| ~ ndr1_1(a525)
| c4_1(a525) ),
inference(resolution,[status(thm)],[f646,f372]) ).
fof(f988,plain,
( ~ sQ58_spl
| ~ sQ116_spl
| c1_2(a525,a539)
| c3_2(a525,a522)
| ~ c1_2(a525,a522)
| ~ ndr1_1(a525)
| c4_1(a525) ),
inference(resolution,[status(thm)],[f646,f376]) ).
fof(f989,plain,
( ~ sQ59_spl
| ~ sQ116_spl
| c5_2(a525,a539)
| c3_2(a525,a522)
| ~ c1_2(a525,a522)
| ~ ndr1_1(a525)
| c4_1(a525) ),
inference(resolution,[status(thm)],[f646,f380]) ).
fof(f990,definition,
( sQ181_spl
<=> c1_2(a525,a522) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f992,plain,
( sQ181_spl
| ~ c1_2(a525,a522) ),
inference(component_clause,[status(thm)],[f990]) ).
fof(f993,definition,
( sQ182_spl
<=> c3_2(a525,a522) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f994,plain,
( ~ sQ182_spl
| c3_2(a525,a522) ),
inference(component_clause,[status(thm)],[f993]) ).
fof(f996,definition,
( sQ183_spl
<=> c2_2(a525,a539) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f997,plain,
( ~ sQ183_spl
| c2_2(a525,a539) ),
inference(component_clause,[status(thm)],[f996]) ).
fof(f999,plain,
( ~ sQ57_spl
| ~ sQ116_spl
| sQ183_spl
| sQ182_spl
| ~ sQ181_spl
| ~ sQ24_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f987,f684,f240,f990,f993,f996,f645,f371]) ).
fof(f1000,definition,
( sQ184_spl
<=> c1_2(a525,a539) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1001,plain,
( ~ sQ184_spl
| c1_2(a525,a539) ),
inference(component_clause,[status(thm)],[f1000]) ).
fof(f1003,plain,
( ~ sQ58_spl
| ~ sQ116_spl
| sQ184_spl
| sQ182_spl
| ~ sQ181_spl
| ~ sQ24_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f988,f684,f240,f990,f993,f1000,f645,f375]) ).
fof(f1004,definition,
( sQ185_spl
<=> c5_2(a525,a539) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1005,plain,
( ~ sQ185_spl
| c5_2(a525,a539) ),
inference(component_clause,[status(thm)],[f1004]) ).
fof(f1007,plain,
( ~ sQ59_spl
| ~ sQ116_spl
| sQ185_spl
| sQ182_spl
| ~ sQ181_spl
| ~ sQ24_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f989,f684,f240,f990,f993,f1004,f645,f379]) ).
fof(f1008,plain,
( ~ sQ57_spl
| ~ sQ120_spl
| c2_2(a540,a539)
| c3_2(a540,a524)
| ~ c1_2(a540,a524)
| ~ ndr1_1(a540)
| c4_1(a540) ),
inference(resolution,[status(thm)],[f669,f372]) ).
fof(f1009,plain,
( ~ sQ58_spl
| ~ sQ120_spl
| c1_2(a540,a539)
| c3_2(a540,a524)
| ~ c1_2(a540,a524)
| ~ ndr1_1(a540)
| c4_1(a540) ),
inference(resolution,[status(thm)],[f669,f376]) ).
fof(f1010,plain,
( ~ sQ59_spl
| ~ sQ120_spl
| c5_2(a540,a539)
| c3_2(a540,a524)
| ~ c1_2(a540,a524)
| ~ ndr1_1(a540)
| c4_1(a540) ),
inference(resolution,[status(thm)],[f669,f380]) ).
fof(f1011,definition,
( sQ186_spl
<=> c3_2(a540,a524) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1012,plain,
( ~ sQ186_spl
| c3_2(a540,a524) ),
inference(component_clause,[status(thm)],[f1011]) ).
fof(f1014,definition,
( sQ187_spl
<=> c2_2(a540,a539) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1015,plain,
( ~ sQ187_spl
| c2_2(a540,a539) ),
inference(component_clause,[status(thm)],[f1014]) ).
fof(f1017,plain,
( ~ sQ57_spl
| ~ sQ120_spl
| sQ187_spl
| sQ186_spl
| ~ sQ119_spl
| ~ sQ86_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f1008,f497,f501,f664,f1011,f1014,f668,f371]) ).
fof(f1018,definition,
( sQ188_spl
<=> c1_2(a540,a539) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1019,plain,
( ~ sQ188_spl
| c1_2(a540,a539) ),
inference(component_clause,[status(thm)],[f1018]) ).
fof(f1021,plain,
( ~ sQ58_spl
| ~ sQ120_spl
| sQ188_spl
| sQ186_spl
| ~ sQ119_spl
| ~ sQ86_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f1009,f497,f501,f664,f1011,f1018,f668,f375]) ).
fof(f1022,definition,
( sQ189_spl
<=> c5_2(a540,a539) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1023,plain,
( ~ sQ189_spl
| c5_2(a540,a539) ),
inference(component_clause,[status(thm)],[f1022]) ).
fof(f1025,plain,
( ~ sQ59_spl
| ~ sQ120_spl
| sQ189_spl
| sQ186_spl
| ~ sQ119_spl
| ~ sQ86_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f1010,f497,f501,f664,f1011,f1022,f668,f379]) ).
fof(f1026,plain,
( ~ sQ39_spl
| ~ sQ98_spl
| c1_1(a537) ),
inference(resolution,[status(thm)],[f569,f624]) ).
fof(f1027,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ98_spl
| c3_1(a537)
| c4_2(a537,X0)
| c1_2(a537,X0)
| c3_2(a537,X0)
| ~ ndr1_1(a537) ),
inference(resolution,[status(thm)],[f569,f328]) ).
fof(f1028,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ98_spl
| c4_1(a537)
| c3_2(a537,X0)
| c2_2(a537,X0)
| c1_2(a537,X0)
| ~ ndr1_1(a537) ),
inference(resolution,[status(thm)],[f569,f218]) ).
fof(f1029,plain,
( ~ sQ51_spl
| ~ sQ98_spl
| c4_1(a537)
| c1_1(a537) ),
inference(resolution,[status(thm)],[f569,f348]) ).
fof(f1030,plain,
( ~ sQ46_spl
| ~ sQ98_spl
| sQ157_spl
| sQ155_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1027,f383,f862,f868,f564,f327]) ).
fof(f1031,definition,
! [X0] :
( sQ190_spl
<=> ( c3_2(a537,X0)
| c2_2(a537,X0)
| c1_2(a537,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1032,plain,
! [X0] :
( ~ sQ190_spl
| c3_2(a537,X0)
| c2_2(a537,X0)
| c1_2(a537,X0) ),
inference(component_clause,[status(thm)],[f1031]) ).
fof(f1034,definition,
( sQ191_spl
<=> c4_1(a537) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1035,plain,
( ~ sQ191_spl
| c4_1(a537) ),
inference(component_clause,[status(thm)],[f1034]) ).
fof(f1037,plain,
( ~ sQ20_spl
| ~ sQ98_spl
| sQ191_spl
| sQ190_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1028,f383,f1031,f1034,f564,f217]) ).
fof(f1038,definition,
( sQ192_spl
<=> c1_1(a537) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1039,plain,
( ~ sQ192_spl
| c1_1(a537) ),
inference(component_clause,[status(thm)],[f1038]) ).
fof(f1040,plain,
( sQ192_spl
| ~ c1_1(a537) ),
inference(component_clause,[status(thm)],[f1038]) ).
fof(f1041,plain,
( ~ sQ51_spl
| ~ sQ98_spl
| sQ191_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f1029,f1038,f1034,f564,f347]) ).
fof(f1042,plain,
( ~ sQ71_spl
| ~ sQ129_spl
| ~ c5_2(a529,a542)
| c4_2(a529,a539)
| ~ ndr1_1(a529)
| ~ c2_1(a529) ),
inference(resolution,[status(thm)],[f705,f439]) ).
fof(f1043,plain,
( ~ sQ70_spl
| ~ sQ129_spl
| ~ c4_2(a529,a542)
| c4_2(a529,a539)
| ~ ndr1_1(a529)
| ~ c2_1(a529) ),
inference(resolution,[status(thm)],[f705,f435]) ).
fof(f1044,plain,
( ~ sQ69_spl
| ~ sQ129_spl
| ~ c2_2(a529,a542)
| c4_2(a529,a539)
| ~ ndr1_1(a529)
| ~ c2_1(a529) ),
inference(resolution,[status(thm)],[f705,f431]) ).
fof(f1045,definition,
( sQ193_spl
<=> c4_2(a529,a539) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1046,plain,
( ~ sQ193_spl
| c4_2(a529,a539) ),
inference(component_clause,[status(thm)],[f1045]) ).
fof(f1048,plain,
( ~ sQ71_spl
| ~ sQ129_spl
| ~ sQ134_spl
| sQ193_spl
| ~ sQ31_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f1042,f719,f268,f1045,f730,f704,f438]) ).
fof(f1049,plain,
( ~ sQ70_spl
| ~ sQ129_spl
| ~ sQ133_spl
| sQ193_spl
| ~ sQ31_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f1043,f719,f268,f1045,f726,f704,f434]) ).
fof(f1050,plain,
( ~ sQ69_spl
| ~ sQ129_spl
| ~ sQ132_spl
| sQ193_spl
| ~ sQ31_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f1044,f719,f268,f1045,f722,f704,f430]) ).
fof(f1051,plain,
( ~ sQ71_spl
| ~ sQ138_spl
| ~ c5_2(a529,a542)
| c4_2(a529,a524)
| ~ ndr1_1(a529)
| ~ c2_1(a529) ),
inference(resolution,[status(thm)],[f745,f439]) ).
fof(f1052,plain,
( ~ sQ70_spl
| ~ sQ138_spl
| ~ c4_2(a529,a542)
| c4_2(a529,a524)
| ~ ndr1_1(a529)
| ~ c2_1(a529) ),
inference(resolution,[status(thm)],[f745,f435]) ).
fof(f1053,plain,
( ~ sQ69_spl
| ~ sQ138_spl
| ~ c2_2(a529,a542)
| c4_2(a529,a524)
| ~ ndr1_1(a529)
| ~ c2_1(a529) ),
inference(resolution,[status(thm)],[f745,f431]) ).
fof(f1054,plain,
( ~ sQ71_spl
| ~ sQ138_spl
| ~ sQ134_spl
| sQ137_spl
| ~ sQ31_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f1051,f719,f268,f740,f730,f744,f438]) ).
fof(f1055,plain,
( ~ sQ70_spl
| ~ sQ138_spl
| ~ sQ133_spl
| sQ137_spl
| ~ sQ31_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f1052,f719,f268,f740,f726,f744,f434]) ).
fof(f1056,plain,
( ~ sQ69_spl
| ~ sQ138_spl
| ~ sQ132_spl
| sQ137_spl
| ~ sQ31_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f1053,f719,f268,f740,f722,f744,f430]) ).
fof(f1057,plain,
( ~ sQ71_spl
| ~ sQ143_spl
| ~ c5_2(a527,a542)
| c4_2(a527,a524)
| ~ ndr1_1(a527)
| ~ c2_1(a527) ),
inference(resolution,[status(thm)],[f773,f439]) ).
fof(f1058,plain,
( ~ sQ70_spl
| ~ sQ143_spl
| ~ c4_2(a527,a542)
| c4_2(a527,a524)
| ~ ndr1_1(a527)
| ~ c2_1(a527) ),
inference(resolution,[status(thm)],[f773,f435]) ).
fof(f1059,plain,
( ~ sQ69_spl
| ~ sQ143_spl
| ~ c2_2(a527,a542)
| c4_2(a527,a524)
| ~ ndr1_1(a527)
| ~ c2_1(a527) ),
inference(resolution,[status(thm)],[f773,f431]) ).
fof(f1060,definition,
( sQ194_spl
<=> c2_1(a527) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1062,plain,
( sQ194_spl
| ~ c2_1(a527) ),
inference(component_clause,[status(thm)],[f1060]) ).
fof(f1063,definition,
( sQ195_spl
<=> c5_2(a527,a542) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1065,plain,
( sQ195_spl
| ~ c5_2(a527,a542) ),
inference(component_clause,[status(thm)],[f1063]) ).
fof(f1066,plain,
( ~ sQ71_spl
| ~ sQ143_spl
| ~ sQ195_spl
| sQ141_spl
| ~ sQ80_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f1057,f1060,f475,f765,f1063,f772,f438]) ).
fof(f1067,definition,
( sQ196_spl
<=> c4_2(a527,a542) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1069,plain,
( sQ196_spl
| ~ c4_2(a527,a542) ),
inference(component_clause,[status(thm)],[f1067]) ).
fof(f1070,plain,
( ~ sQ70_spl
| ~ sQ143_spl
| ~ sQ196_spl
| sQ141_spl
| ~ sQ80_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f1058,f1060,f475,f765,f1067,f772,f434]) ).
fof(f1071,definition,
( sQ197_spl
<=> c2_2(a527,a542) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1073,plain,
( sQ197_spl
| ~ c2_2(a527,a542) ),
inference(component_clause,[status(thm)],[f1071]) ).
fof(f1074,plain,
( ~ sQ69_spl
| ~ sQ143_spl
| ~ sQ197_spl
| sQ141_spl
| ~ sQ80_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f1059,f1060,f475,f765,f1071,f772,f430]) ).
fof(f1075,plain,
( ~ sQ39_spl
| ~ sQ152_spl
| c1_1(a541) ),
inference(resolution,[status(thm)],[f834,f624]) ).
fof(f1076,plain,
( ~ sQ71_spl
| ~ sQ166_spl
| ~ c5_2(a544,a542)
| c4_2(a544,a524)
| ~ ndr1_1(a544)
| ~ c2_1(a544) ),
inference(resolution,[status(thm)],[f913,f439]) ).
fof(f1077,plain,
( ~ sQ70_spl
| ~ sQ166_spl
| ~ c4_2(a544,a542)
| c4_2(a544,a524)
| ~ ndr1_1(a544)
| ~ c2_1(a544) ),
inference(resolution,[status(thm)],[f913,f435]) ).
fof(f1078,plain,
( ~ sQ69_spl
| ~ sQ166_spl
| ~ c2_2(a544,a542)
| c4_2(a544,a524)
| ~ ndr1_1(a544)
| ~ c2_1(a544) ),
inference(resolution,[status(thm)],[f913,f431]) ).
fof(f1079,plain,
( ~ sQ71_spl
| ~ sQ166_spl
| ~ sQ163_spl
| sQ161_spl
| ~ sQ75_spl
| ~ sQ162_spl ),
inference(split_clause,[status(thm)],[f1076,f897,f454,f893,f900,f912,f438]) ).
fof(f1080,plain,
( ~ sQ70_spl
| ~ sQ166_spl
| ~ sQ164_spl
| sQ161_spl
| ~ sQ75_spl
| ~ sQ162_spl ),
inference(split_clause,[status(thm)],[f1077,f897,f454,f893,f904,f912,f434]) ).
fof(f1081,plain,
( ~ sQ69_spl
| ~ sQ166_spl
| ~ sQ165_spl
| sQ161_spl
| ~ sQ75_spl
| ~ sQ162_spl ),
inference(split_clause,[status(thm)],[f1078,f897,f454,f893,f908,f912,f430]) ).
fof(f1082,plain,
( ~ sQ72_spl
| ~ sQ106_spl
| c1_1(a533) ),
inference(resolution,[status(thm)],[f598,f524]) ).
fof(f1083,plain,
( ~ sQ72_spl
| ~ sQ109_spl
| c1_1(a541) ),
inference(resolution,[status(thm)],[f611,f523]) ).
fof(f1084,plain,
( ~ sQ71_spl
| ~ sQ109_spl
| ~ c5_2(a541,a542)
| c4_2(a541,a543)
| ~ ndr1_1(a541)
| ~ c2_1(a541) ),
inference(resolution,[status(thm)],[f611,f439]) ).
fof(f1085,plain,
( ~ sQ70_spl
| ~ sQ109_spl
| ~ c4_2(a541,a542)
| c4_2(a541,a543)
| ~ ndr1_1(a541)
| ~ c2_1(a541) ),
inference(resolution,[status(thm)],[f611,f435]) ).
fof(f1086,plain,
( ~ sQ69_spl
| ~ sQ109_spl
| ~ c2_2(a541,a542)
| c4_2(a541,a543)
| ~ ndr1_1(a541)
| ~ c2_1(a541) ),
inference(resolution,[status(thm)],[f611,f431]) ).
fof(f1087,definition,
( sQ198_spl
<=> c2_1(a541) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f1089,plain,
( sQ198_spl
| ~ c2_1(a541) ),
inference(component_clause,[status(thm)],[f1087]) ).
fof(f1090,definition,
( sQ199_spl
<=> c4_2(a541,a543) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1091,plain,
( ~ sQ199_spl
| c4_2(a541,a543) ),
inference(component_clause,[status(thm)],[f1090]) ).
fof(f1093,definition,
( sQ200_spl
<=> c5_2(a541,a542) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1095,plain,
( sQ200_spl
| ~ c5_2(a541,a542) ),
inference(component_clause,[status(thm)],[f1093]) ).
fof(f1096,plain,
( ~ sQ71_spl
| ~ sQ109_spl
| ~ sQ200_spl
| sQ199_spl
| ~ sQ65_spl
| ~ sQ198_spl ),
inference(split_clause,[status(thm)],[f1084,f1087,f415,f1090,f1093,f610,f438]) ).
fof(f1097,definition,
( sQ201_spl
<=> c4_2(a541,a542) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1099,plain,
( sQ201_spl
| ~ c4_2(a541,a542) ),
inference(component_clause,[status(thm)],[f1097]) ).
fof(f1100,plain,
( ~ sQ70_spl
| ~ sQ109_spl
| ~ sQ201_spl
| sQ199_spl
| ~ sQ65_spl
| ~ sQ198_spl ),
inference(split_clause,[status(thm)],[f1085,f1087,f415,f1090,f1097,f610,f434]) ).
fof(f1101,definition,
( sQ202_spl
<=> c2_2(a541,a542) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1103,plain,
( sQ202_spl
| ~ c2_2(a541,a542) ),
inference(component_clause,[status(thm)],[f1101]) ).
fof(f1104,plain,
( ~ sQ69_spl
| ~ sQ109_spl
| ~ sQ202_spl
| sQ199_spl
| ~ sQ65_spl
| ~ sQ198_spl ),
inference(split_clause,[status(thm)],[f1086,f1087,f415,f1090,f1101,f610,f430]) ).
fof(f1105,plain,
( ~ sQ71_spl
| ~ sQ126_spl
| ~ c5_2(a525,a542)
| c4_2(a525,a535)
| ~ ndr1_1(a525)
| ~ c2_1(a525) ),
inference(resolution,[status(thm)],[f691,f439]) ).
fof(f1106,plain,
( ~ sQ70_spl
| ~ sQ126_spl
| ~ c4_2(a525,a542)
| c4_2(a525,a535)
| ~ ndr1_1(a525)
| ~ c2_1(a525) ),
inference(resolution,[status(thm)],[f691,f435]) ).
fof(f1107,plain,
( ~ sQ69_spl
| ~ sQ126_spl
| ~ c2_2(a525,a542)
| c4_2(a525,a535)
| ~ ndr1_1(a525)
| ~ c2_1(a525) ),
inference(resolution,[status(thm)],[f691,f431]) ).
fof(f1108,definition,
( sQ203_spl
<=> c4_2(a525,a535) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1109,plain,
( ~ sQ203_spl
| c4_2(a525,a535) ),
inference(component_clause,[status(thm)],[f1108]) ).
fof(f1111,definition,
( sQ204_spl
<=> c5_2(a525,a542) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f1113,plain,
( sQ204_spl
| ~ c5_2(a525,a542) ),
inference(component_clause,[status(thm)],[f1111]) ).
fof(f1114,plain,
( ~ sQ71_spl
| ~ sQ126_spl
| ~ sQ204_spl
| sQ203_spl
| ~ sQ24_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1105,f236,f240,f1108,f1111,f690,f438]) ).
fof(f1115,definition,
( sQ205_spl
<=> c4_2(a525,a542) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f1117,plain,
( sQ205_spl
| ~ c4_2(a525,a542) ),
inference(component_clause,[status(thm)],[f1115]) ).
fof(f1118,plain,
( ~ sQ70_spl
| ~ sQ126_spl
| ~ sQ205_spl
| sQ203_spl
| ~ sQ24_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1106,f236,f240,f1108,f1115,f690,f434]) ).
fof(f1119,definition,
( sQ206_spl
<=> c2_2(a525,a542) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f1121,plain,
( sQ206_spl
| ~ c2_2(a525,a542) ),
inference(component_clause,[status(thm)],[f1119]) ).
fof(f1122,plain,
( ~ sQ69_spl
| ~ sQ126_spl
| ~ sQ206_spl
| sQ203_spl
| ~ sQ24_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1107,f236,f240,f1108,f1119,f690,f430]) ).
fof(f1123,plain,
( ~ sQ51_spl
| ~ sQ125_spl
| c4_1(a525)
| c1_1(a525) ),
inference(resolution,[status(thm)],[f688,f348]) ).
fof(f1124,plain,
( ~ sQ51_spl
| ~ sQ125_spl
| sQ124_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f1123,f681,f684,f687,f347]) ).
fof(f1125,plain,
( ~ sQ71_spl
| ~ sQ147_spl
| ~ c5_2(a536,a542)
| c4_2(a536,a539)
| ~ ndr1_1(a536)
| ~ c2_1(a536) ),
inference(resolution,[status(thm)],[f801,f439]) ).
fof(f1126,plain,
( ~ sQ70_spl
| ~ sQ147_spl
| ~ c4_2(a536,a542)
| c4_2(a536,a539)
| ~ ndr1_1(a536)
| ~ c2_1(a536) ),
inference(resolution,[status(thm)],[f801,f435]) ).
fof(f1127,plain,
( ~ sQ69_spl
| ~ sQ147_spl
| ~ c2_2(a536,a542)
| c4_2(a536,a539)
| ~ ndr1_1(a536)
| ~ c2_1(a536) ),
inference(resolution,[status(thm)],[f801,f431]) ).
fof(f1128,definition,
( sQ207_spl
<=> c2_1(a536) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1130,plain,
( sQ207_spl
| ~ c2_1(a536) ),
inference(component_clause,[status(thm)],[f1128]) ).
fof(f1131,definition,
( sQ208_spl
<=> c4_2(a536,a539) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1132,plain,
( ~ sQ208_spl
| c4_2(a536,a539) ),
inference(component_clause,[status(thm)],[f1131]) ).
fof(f1134,definition,
( sQ209_spl
<=> c5_2(a536,a542) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f1136,plain,
( sQ209_spl
| ~ c5_2(a536,a542) ),
inference(component_clause,[status(thm)],[f1134]) ).
fof(f1137,plain,
( ~ sQ71_spl
| ~ sQ147_spl
| ~ sQ209_spl
| sQ208_spl
| ~ sQ52_spl
| ~ sQ207_spl ),
inference(split_clause,[status(thm)],[f1125,f1128,f352,f1131,f1134,f800,f438]) ).
fof(f1138,definition,
( sQ210_spl
<=> c4_2(a536,a542) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f1140,plain,
( sQ210_spl
| ~ c4_2(a536,a542) ),
inference(component_clause,[status(thm)],[f1138]) ).
fof(f1141,plain,
( ~ sQ70_spl
| ~ sQ147_spl
| ~ sQ210_spl
| sQ208_spl
| ~ sQ52_spl
| ~ sQ207_spl ),
inference(split_clause,[status(thm)],[f1126,f1128,f352,f1131,f1138,f800,f434]) ).
fof(f1142,definition,
( sQ211_spl
<=> c2_2(a536,a542) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f1144,plain,
( sQ211_spl
| ~ c2_2(a536,a542) ),
inference(component_clause,[status(thm)],[f1142]) ).
fof(f1145,plain,
( ~ sQ69_spl
| ~ sQ147_spl
| ~ sQ211_spl
| sQ208_spl
| ~ sQ52_spl
| ~ sQ207_spl ),
inference(split_clause,[status(thm)],[f1127,f1128,f352,f1131,f1142,f800,f430]) ).
fof(f1146,plain,
( ~ sQ148_spl
| ~ sQ154_spl
| c4_2(a536,a539)
| ~ c3_2(a536,a539) ),
inference(resolution,[status(thm)],[f843,f805]) ).
fof(f1147,definition,
( sQ212_spl
<=> c3_2(a536,a539) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1149,plain,
( sQ212_spl
| ~ c3_2(a536,a539) ),
inference(component_clause,[status(thm)],[f1147]) ).
fof(f1150,plain,
( ~ sQ148_spl
| ~ sQ154_spl
| sQ208_spl
| ~ sQ212_spl ),
inference(split_clause,[status(thm)],[f1146,f1147,f1131,f842,f804]) ).
fof(f1151,plain,
( ~ sQ72_spl
| sQ173_spl
| c1_1(a521) ),
inference(resolution,[status(thm)],[f947,f532]) ).
fof(f1152,plain,
( ~ sQ72_spl
| ~ sQ172_spl
| c1_1(a521) ),
inference(resolution,[status(thm)],[f943,f523]) ).
fof(f1153,plain,
( ~ sQ71_spl
| ~ sQ172_spl
| ~ c5_2(a521,a542)
| c4_2(a521,a543)
| ~ ndr1_1(a521)
| ~ c2_1(a521) ),
inference(resolution,[status(thm)],[f943,f439]) ).
fof(f1154,plain,
( ~ sQ70_spl
| ~ sQ172_spl
| ~ c4_2(a521,a542)
| c4_2(a521,a543)
| ~ ndr1_1(a521)
| ~ c2_1(a521) ),
inference(resolution,[status(thm)],[f943,f435]) ).
fof(f1155,plain,
( ~ sQ69_spl
| ~ sQ172_spl
| ~ c2_2(a521,a542)
| c4_2(a521,a543)
| ~ ndr1_1(a521)
| ~ c2_1(a521) ),
inference(resolution,[status(thm)],[f943,f431]) ).
fof(f1156,definition,
( sQ213_spl
<=> c4_2(a521,a543) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f1157,plain,
( ~ sQ213_spl
| c4_2(a521,a543) ),
inference(component_clause,[status(thm)],[f1156]) ).
fof(f1159,definition,
( sQ214_spl
<=> c5_2(a521,a542) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f1161,plain,
( sQ214_spl
| ~ c5_2(a521,a542) ),
inference(component_clause,[status(thm)],[f1159]) ).
fof(f1162,plain,
( ~ sQ71_spl
| ~ sQ172_spl
| ~ sQ214_spl
| sQ213_spl
| ~ sQ12_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1153,f183,f187,f1156,f1159,f942,f438]) ).
fof(f1163,definition,
( sQ215_spl
<=> c4_2(a521,a542) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1165,plain,
( sQ215_spl
| ~ c4_2(a521,a542) ),
inference(component_clause,[status(thm)],[f1163]) ).
fof(f1166,plain,
( ~ sQ70_spl
| ~ sQ172_spl
| ~ sQ215_spl
| sQ213_spl
| ~ sQ12_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1154,f183,f187,f1156,f1163,f942,f434]) ).
fof(f1167,definition,
( sQ216_spl
<=> c2_2(a521,a542) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f1169,plain,
( sQ216_spl
| ~ c2_2(a521,a542) ),
inference(component_clause,[status(thm)],[f1167]) ).
fof(f1170,plain,
( ~ sQ69_spl
| ~ sQ172_spl
| ~ sQ216_spl
| sQ213_spl
| ~ sQ12_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1155,f183,f187,f1156,f1167,f942,f430]) ).
fof(f1172,plain,
( ~ sQ110_spl
| ~ sQ39_spl
| c1_2(a541,a543)
| c5_2(a541,a543)
| sP4_prd(a541) ),
inference(resolution,[status(thm)],[f853,f614]) ).
fof(f1173,plain,
( ~ sQ97_spl
| ~ sQ39_spl
| c3_2(a537,a543)
| c1_2(a537,a543)
| c5_2(a537,a543)
| sP4_prd(a537) ),
inference(resolution,[status(thm)],[f853,f557]) ).
fof(f1174,definition,
( sQ217_spl
<=> c5_2(a541,a543) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f1175,plain,
( ~ sQ217_spl
| c5_2(a541,a543) ),
inference(component_clause,[status(thm)],[f1174]) ).
fof(f1176,plain,
( sQ217_spl
| ~ c5_2(a541,a543) ),
inference(component_clause,[status(thm)],[f1174]) ).
fof(f1177,plain,
( ~ sQ110_spl
| ~ sQ39_spl
| sQ109_spl
| sQ217_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f1172,f949,f1174,f610,f301,f613]) ).
fof(f1178,definition,
( sQ218_spl
<=> sP4_prd(a537) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f1179,plain,
( ~ sQ218_spl
| sP4_prd(a537) ),
inference(component_clause,[status(thm)],[f1178]) ).
fof(f1180,plain,
( sQ218_spl
| ~ sP4_prd(a537) ),
inference(component_clause,[status(thm)],[f1178]) ).
fof(f1181,definition,
( sQ219_spl
<=> c5_2(a537,a543) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f1182,plain,
( ~ sQ219_spl
| c5_2(a537,a543) ),
inference(component_clause,[status(thm)],[f1181]) ).
fof(f1183,plain,
( sQ219_spl
| ~ c5_2(a537,a543) ),
inference(component_clause,[status(thm)],[f1181]) ).
fof(f1184,definition,
( sQ220_spl
<=> c1_2(a537,a543) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f1185,plain,
( ~ sQ220_spl
| c1_2(a537,a543) ),
inference(component_clause,[status(thm)],[f1184]) ).
fof(f1186,plain,
( sQ220_spl
| ~ c1_2(a537,a543) ),
inference(component_clause,[status(thm)],[f1184]) ).
fof(f1187,definition,
( sQ221_spl
<=> c3_2(a537,a543) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f1188,plain,
( ~ sQ221_spl
| c3_2(a537,a543) ),
inference(component_clause,[status(thm)],[f1187]) ).
fof(f1190,plain,
( ~ sQ97_spl
| ~ sQ39_spl
| sQ221_spl
| sQ220_spl
| sQ219_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f1173,f1178,f1181,f1184,f1187,f301,f556]) ).
fof(f1191,plain,
( ~ sQ14_spl
| sP4_prd(a521) ),
inference(resolution,[status(thm)],[f143,f195]) ).
fof(f1192,plain,
( ~ sQ192_spl
| sP4_prd(a537) ),
inference(resolution,[status(thm)],[f143,f1039]) ).
fof(f1199,plain,
( ~ sQ106_spl
| c1_1(a533)
| ~ sP4_prd(a533) ),
inference(resolution,[status(thm)],[f140,f598]) ).
fof(f1200,definition,
( sQ222_spl
<=> sP4_prd(a533) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f1202,plain,
( sQ222_spl
| ~ sP4_prd(a533) ),
inference(component_clause,[status(thm)],[f1200]) ).
fof(f1203,plain,
( ~ sQ106_spl
| sQ104_spl
| ~ sQ222_spl ),
inference(split_clause,[status(thm)],[f1199,f1200,f591,f597]) ).
fof(f1216,plain,
( ~ sQ102_spl
| ~ sQ155_spl
| ~ sQ101_spl
| ~ sQ175_spl
| c4_2(a537,a522) ),
inference(resolution,[status(thm)],[f959,f986]) ).
fof(f1217,plain,
( ~ sQ97_spl
| sQ180_spl
| c3_2(a537,a542) ),
inference(resolution,[status(thm)],[f983,f557]) ).
fof(f1218,plain,
( ~ sQ155_spl
| ~ sQ101_spl
| sQ179_spl
| c3_2(a537,a542) ),
inference(resolution,[status(thm)],[f979,f985]) ).
fof(f1219,plain,
( ~ sQ174_spl
| c1_1(a541)
| c2_2(a541,a543) ),
inference(resolution,[status(thm)],[f950,f139]) ).
fof(f1220,plain,
( ~ sQ174_spl
| sQ108_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f1219,f613,f607,f949]) ).
fof(f1233,plain,
( ~ sQ218_spl
| c1_1(a537)
| c2_2(a537,a543) ),
inference(resolution,[status(thm)],[f1179,f139]) ).
fof(f1234,definition,
( sQ227_spl
<=> c2_2(a537,a543) ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f1235,plain,
( ~ sQ227_spl
| c2_2(a537,a543) ),
inference(component_clause,[status(thm)],[f1234]) ).
fof(f1237,plain,
( ~ sQ218_spl
| sQ192_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f1233,f1234,f1038,f1178]) ).
fof(f1240,plain,
( sQ222_spl
| ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1202,f849]) ).
fof(f1241,plain,
( sQ222_spl
| ~ sQ104_spl ),
inference(contradiction_clause,[status(thm)],[f1240]) ).
fof(f1242,plain,
( ~ sQ39_spl
| sQ222_spl
| ndr1_1(a533) ),
inference(resolution,[status(thm)],[f1202,f852]) ).
fof(f1243,plain,
( ~ sQ39_spl
| sQ222_spl
| sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1242,f307]) ).
fof(f1244,plain,
( ~ sQ39_spl
| sQ222_spl
| sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f1243]) ).
fof(f1245,plain,
( ~ sQ159_spl
| ~ sQ1_spl
| c3_2(a527,a522)
| ~ ndr1_1(a527)
| c5_1(a527) ),
inference(resolution,[status(thm)],[f148,f880]) ).
fof(f1246,plain,
( ~ sQ151_spl
| ~ sQ1_spl
| c3_2(a541,a532)
| ~ ndr1_1(a541)
| c5_1(a541) ),
inference(resolution,[status(thm)],[f148,f831]) ).
fof(f1247,plain,
( ~ sQ146_spl
| ~ sQ1_spl
| c3_2(a536,a539)
| ~ ndr1_1(a536)
| c5_1(a536) ),
inference(resolution,[status(thm)],[f148,f797]) ).
fof(f1248,plain,
( ~ sQ128_spl
| ~ sQ1_spl
| c3_2(a529,a539)
| ~ ndr1_1(a529)
| c5_1(a529) ),
inference(resolution,[status(thm)],[f148,f701]) ).
fof(f1249,plain,
( ~ sQ117_spl
| ~ sQ1_spl
| c3_2(a525,a522)
| ~ ndr1_1(a525)
| c5_1(a525) ),
inference(resolution,[status(thm)],[f148,f650]) ).
fof(f1250,plain,
( ~ sQ176_spl
| ~ sQ1_spl
| c3_2(a537,a522)
| ~ ndr1_1(a537)
| c5_1(a537) ),
inference(resolution,[status(thm)],[f148,f963]) ).
fof(f1252,definition,
( sQ228_spl
<=> c3_2(a527,a522) ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f1253,plain,
( ~ sQ228_spl
| c3_2(a527,a522) ),
inference(component_clause,[status(thm)],[f1252]) ).
fof(f1255,plain,
( ~ sQ159_spl
| ~ sQ1_spl
| sQ228_spl
| ~ sQ80_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f1245,f471,f475,f1252,f147,f879]) ).
fof(f1256,plain,
( ~ sQ151_spl
| ~ sQ1_spl
| sQ152_spl
| ~ sQ65_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f1246,f604,f415,f833,f147,f830]) ).
fof(f1257,plain,
( ~ sQ146_spl
| ~ sQ1_spl
| sQ212_spl
| ~ sQ52_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f1247,f359,f352,f1147,f147,f796]) ).
fof(f1258,definition,
( sQ229_spl
<=> c5_1(a529) ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f1259,plain,
( ~ sQ229_spl
| c5_1(a529) ),
inference(component_clause,[status(thm)],[f1258]) ).
fof(f1261,definition,
( sQ230_spl
<=> c3_2(a529,a539) ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f1262,plain,
( ~ sQ230_spl
| c3_2(a529,a539) ),
inference(component_clause,[status(thm)],[f1261]) ).
fof(f1264,plain,
( ~ sQ128_spl
| ~ sQ1_spl
| sQ230_spl
| ~ sQ31_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f1248,f1258,f268,f1261,f147,f700]) ).
fof(f1265,plain,
( ~ sQ117_spl
| ~ sQ1_spl
| sQ182_spl
| ~ sQ24_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f1249,f635,f240,f993,f147,f649]) ).
fof(f1266,definition,
( sQ231_spl
<=> c3_2(a537,a522) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f1267,plain,
( ~ sQ231_spl
| c3_2(a537,a522) ),
inference(component_clause,[status(thm)],[f1266]) ).
fof(f1269,plain,
( ~ sQ176_spl
| ~ sQ1_spl
| sQ231_spl
| ~ sQ60_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f1250,f404,f383,f1266,f147,f962]) ).
fof(f1283,plain,
( ~ sQ150_spl
| c5_2(a536,a532)
| c3_2(a536,a532)
| ~ ndr1_1(a536)
| sP2_prd(a536) ),
inference(resolution,[status(thm)],[f122,f825]) ).
fof(f1284,plain,
( ~ sQ155_spl
| ~ sQ101_spl
| c3_2(a537,a532)
| c5_2(a537,a532)
| c3_2(a537,a532)
| ~ ndr1_1(a537)
| sP2_prd(a537) ),
inference(resolution,[status(thm)],[f122,f985]) ).
fof(f1285,plain,
( ~ sQ150_spl
| sQ94_spl
| sQ93_spl
| ~ sQ52_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f1283,f537,f352,f540,f543,f824]) ).
fof(f1286,definition,
( sQ232_spl
<=> sP2_prd(a537) ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f1287,plain,
( ~ sQ232_spl
| sP2_prd(a537) ),
inference(component_clause,[status(thm)],[f1286]) ).
fof(f1288,plain,
( sQ232_spl
| ~ sP2_prd(a537) ),
inference(component_clause,[status(thm)],[f1286]) ).
fof(f1289,definition,
( sQ233_spl
<=> c3_2(a537,a532) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f1290,plain,
( ~ sQ233_spl
| c3_2(a537,a532) ),
inference(component_clause,[status(thm)],[f1289]) ).
fof(f1292,definition,
( sQ234_spl
<=> c5_2(a537,a532) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f1293,plain,
( ~ sQ234_spl
| c5_2(a537,a532) ),
inference(component_clause,[status(thm)],[f1292]) ).
fof(f1295,plain,
( ~ sQ155_spl
| ~ sQ101_spl
| sQ234_spl
| sQ233_spl
| ~ sQ60_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f1284,f1286,f383,f1289,f1292,f579,f862]) ).
fof(f1296,plain,
( ~ sQ149_spl
| ~ sQ51_spl
| c4_1(a536)
| c1_1(a536) ),
inference(resolution,[status(thm)],[f348,f813]) ).
fof(f1297,plain,
( ~ sQ149_spl
| ~ sQ51_spl
| sQ95_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f1296,f363,f548,f347,f812]) ).
fof(f1308,plain,
( ~ sQ14_spl
| sP2_prd(a521) ),
inference(resolution,[status(thm)],[f123,f195]) ).
fof(f1309,plain,
( ~ sQ192_spl
| sP2_prd(a537) ),
inference(resolution,[status(thm)],[f123,f1039]) ).
fof(f1310,plain,
( ~ sQ123_spl
| sP2_prd(a525) ),
inference(resolution,[status(thm)],[f123,f682]) ).
fof(f1311,plain,
( ~ sQ108_spl
| sP2_prd(a541) ),
inference(resolution,[status(thm)],[f123,f608]) ).
fof(f1312,plain,
( ~ sQ74_spl
| sP2_prd(a544) ),
inference(resolution,[status(thm)],[f123,f451]) ).
fof(f1313,plain,
( ~ sQ9_spl
| sP2_prd(a520) ),
inference(resolution,[status(thm)],[f123,f176]) ).
fof(f1314,plain,
( ~ sQ152_spl
| c1_1(a541)
| ~ sP2_prd(a541) ),
inference(resolution,[status(thm)],[f120,f834]) ).
fof(f1315,definition,
( sQ237_spl
<=> sP2_prd(a541) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f1317,plain,
( sQ237_spl
| ~ sP2_prd(a541) ),
inference(component_clause,[status(thm)],[f1315]) ).
fof(f1318,plain,
( ~ sQ152_spl
| sQ108_spl
| ~ sQ237_spl ),
inference(split_clause,[status(thm)],[f1314,f1315,f607,f833]) ).
fof(f1319,plain,
( ~ sQ92_spl
| c1_1(a536)
| c4_2(a536,a532) ),
inference(resolution,[status(thm)],[f538,f119]) ).
fof(f1320,plain,
( ~ sQ92_spl
| c1_1(a536)
| ndr1_1(a536) ),
inference(resolution,[status(thm)],[f538,f118]) ).
fof(f1321,plain,
( ~ sQ92_spl
| sQ55_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f1319,f824,f363,f537]) ).
fof(f1322,plain,
( ~ sQ92_spl
| sQ55_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f1320,f352,f363,f537]) ).
fof(f1323,plain,
( ~ sQ55_spl
| sP2_prd(a536) ),
inference(resolution,[status(thm)],[f364,f123]) ).
fof(f1324,plain,
( ~ sQ55_spl
| sP4_prd(a536) ),
inference(resolution,[status(thm)],[f364,f143]) ).
fof(f1325,plain,
( ~ sQ93_spl
| c1_1(a536)
| ~ sP2_prd(a536) ),
inference(resolution,[status(thm)],[f541,f120]) ).
fof(f1326,plain,
( ~ sQ93_spl
| sQ55_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f1325,f537,f363,f540]) ).
fof(f1327,plain,
( ~ sQ175_spl
| ~ sQ102_spl
| c4_2(a537,a522)
| ~ c3_2(a537,a522) ),
inference(resolution,[status(thm)],[f583,f959]) ).
fof(f1328,definition,
( sQ238_spl
<=> c4_2(a537,a522) ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f1329,plain,
( ~ sQ238_spl
| c4_2(a537,a522) ),
inference(component_clause,[status(thm)],[f1328]) ).
fof(f1331,plain,
( ~ sQ175_spl
| ~ sQ102_spl
| sQ238_spl
| ~ sQ231_spl ),
inference(split_clause,[status(thm)],[f1327,f1266,f1328,f582,f958]) ).
fof(f1332,plain,
( ~ sQ232_spl
| c1_1(a537)
| c4_2(a537,a532) ),
inference(resolution,[status(thm)],[f1287,f119]) ).
fof(f1333,plain,
( ~ sQ232_spl
| c1_1(a537)
| ndr1_1(a537) ),
inference(resolution,[status(thm)],[f1287,f118]) ).
fof(f1334,definition,
( sQ239_spl
<=> c4_2(a537,a532) ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f1335,plain,
( ~ sQ239_spl
| c4_2(a537,a532) ),
inference(component_clause,[status(thm)],[f1334]) ).
fof(f1337,plain,
( ~ sQ232_spl
| sQ192_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f1332,f1334,f1038,f1286]) ).
fof(f1338,plain,
( ~ sQ232_spl
| sQ192_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f1333,f383,f1038,f1286]) ).
fof(f1389,plain,
( sQ237_spl
| ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1317,f1311]) ).
fof(f1390,plain,
( sQ237_spl
| ~ sQ108_spl ),
inference(contradiction_clause,[status(thm)],[f1389]) ).
fof(f1391,plain,
( ~ sQ1_spl
| ~ sQ183_spl
| c3_2(a525,a539)
| ~ ndr1_1(a525)
| c5_1(a525) ),
inference(resolution,[status(thm)],[f997,f148]) ).
fof(f1392,definition,
( sQ246_spl
<=> c3_2(a525,a539) ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f1393,plain,
( ~ sQ246_spl
| c3_2(a525,a539) ),
inference(component_clause,[status(thm)],[f1392]) ).
fof(f1395,plain,
( ~ sQ1_spl
| ~ sQ183_spl
| sQ246_spl
| ~ sQ24_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f1391,f635,f240,f1392,f996,f147]) ).
fof(f1396,plain,
( ~ sQ87_spl
| ~ sQ188_spl
| c2_2(a540,a539)
| ~ c3_2(a540,a539) ),
inference(resolution,[status(thm)],[f1019,f505]) ).
fof(f1397,definition,
( sQ247_spl
<=> c3_2(a540,a539) ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f1399,plain,
( sQ247_spl
| ~ c3_2(a540,a539) ),
inference(component_clause,[status(thm)],[f1397]) ).
fof(f1400,plain,
( ~ sQ87_spl
| ~ sQ188_spl
| sQ187_spl
| ~ sQ247_spl ),
inference(split_clause,[status(thm)],[f1396,f1397,f1014,f1018,f504]) ).
fof(f1401,plain,
( ~ sQ1_spl
| ~ sQ187_spl
| c3_2(a540,a539)
| ~ ndr1_1(a540)
| c5_1(a540) ),
inference(resolution,[status(thm)],[f1015,f148]) ).
fof(f1402,definition,
( sQ248_spl
<=> c5_1(a540) ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f1403,plain,
( ~ sQ248_spl
| c5_1(a540) ),
inference(component_clause,[status(thm)],[f1402]) ).
fof(f1405,plain,
( ~ sQ1_spl
| ~ sQ187_spl
| sQ247_spl
| ~ sQ86_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f1401,f1402,f501,f1397,f1014,f147]) ).
fof(f1406,plain,
( ~ sQ190_spl
| sQ100_spl
| c3_2(a537,a538)
| c2_2(a537,a538) ),
inference(resolution,[status(thm)],[f576,f1032]) ).
fof(f1407,plain,
( ~ sQ190_spl
| sQ100_spl
| sQ62_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f1406,f390,f397,f574,f1031]) ).
fof(f1408,plain,
( ~ sQ50_spl
| ~ sQ203_spl
| c4_1(a525)
| c1_1(a525) ),
inference(resolution,[status(thm)],[f1109,f344]) ).
fof(f1409,plain,
( ~ sQ50_spl
| ~ sQ203_spl
| sQ124_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f1408,f681,f684,f1108,f343]) ).
fof(f1410,plain,
( ~ sQ220_spl
| c1_1(a537)
| ~ sP4_prd(a537) ),
inference(resolution,[status(thm)],[f1185,f141]) ).
fof(f1411,plain,
( ~ sQ220_spl
| sQ192_spl
| ~ sQ218_spl ),
inference(split_clause,[status(thm)],[f1410,f1178,f1038,f1184]) ).
fof(f1412,plain,
( sQ218_spl
| ~ sQ192_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1180,f1192]) ).
fof(f1413,plain,
( sQ218_spl
| ~ sQ192_spl ),
inference(contradiction_clause,[status(thm)],[f1412]) ).
fof(f1414,plain,
( ~ sQ219_spl
| c1_1(a537)
| ~ sP4_prd(a537) ),
inference(resolution,[status(thm)],[f1182,f140]) ).
fof(f1415,plain,
( ~ sQ219_spl
| sQ192_spl
| ~ sQ218_spl ),
inference(split_clause,[status(thm)],[f1414,f1178,f1038,f1181]) ).
fof(f1416,plain,
( ~ sQ234_spl
| c1_1(a537)
| ~ sP2_prd(a537) ),
inference(resolution,[status(thm)],[f1293,f121]) ).
fof(f1417,plain,
( ~ sQ234_spl
| sQ192_spl
| ~ sQ232_spl ),
inference(split_clause,[status(thm)],[f1416,f1286,f1038,f1292]) ).
fof(f1418,plain,
( ~ sQ233_spl
| c1_1(a537)
| ~ sP2_prd(a537) ),
inference(resolution,[status(thm)],[f1290,f120]) ).
fof(f1419,plain,
( ~ sQ233_spl
| sQ192_spl
| ~ sQ232_spl ),
inference(split_clause,[status(thm)],[f1418,f1286,f1038,f1289]) ).
fof(f1422,plain,
( ~ sQ227_spl
| c1_2(a537,a543)
| c5_2(a537,a543)
| ~ ndr1_1(a537)
| sP4_prd(a537) ),
inference(resolution,[status(thm)],[f1235,f142]) ).
fof(f1423,plain,
( ~ sQ1_spl
| ~ sQ227_spl
| c3_2(a537,a543)
| ~ ndr1_1(a537)
| c5_1(a537) ),
inference(resolution,[status(thm)],[f1235,f148]) ).
fof(f1424,plain,
( ~ sQ227_spl
| sQ220_spl
| sQ219_spl
| ~ sQ60_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f1422,f1178,f383,f1181,f1184,f1234]) ).
fof(f1425,plain,
( ~ sQ1_spl
| ~ sQ227_spl
| sQ221_spl
| ~ sQ60_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f1423,f404,f383,f1187,f1234,f147]) ).
fof(f1426,plain,
( ~ sQ239_spl
| c5_2(a537,a532)
| c3_2(a537,a532)
| ~ ndr1_1(a537)
| sP2_prd(a537) ),
inference(resolution,[status(thm)],[f1335,f122]) ).
fof(f1427,plain,
( ~ sQ239_spl
| sQ234_spl
| sQ233_spl
| ~ sQ60_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f1426,f1286,f383,f1289,f1292,f1334]) ).
fof(f1432,plain,
( ~ sQ217_spl
| c1_1(a541)
| ~ sP4_prd(a541) ),
inference(resolution,[status(thm)],[f1175,f140]) ).
fof(f1433,plain,
( ~ sQ217_spl
| sQ108_spl
| ~ sQ174_spl ),
inference(split_clause,[status(thm)],[f1432,f949,f607,f1174]) ).
fof(f1434,plain,
( ~ sQ110_spl
| c1_2(a541,a543)
| c5_2(a541,a543)
| ~ ndr1_1(a541)
| sP4_prd(a541) ),
inference(resolution,[status(thm)],[f614,f142]) ).
fof(f1435,plain,
( ~ sQ1_spl
| ~ sQ110_spl
| c3_2(a541,a543)
| ~ ndr1_1(a541)
| c5_1(a541) ),
inference(resolution,[status(thm)],[f614,f148]) ).
fof(f1436,plain,
( ~ sQ110_spl
| sQ109_spl
| sQ217_spl
| ~ sQ65_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f1434,f949,f415,f1174,f610,f613]) ).
fof(f1437,plain,
( ~ sQ1_spl
| ~ sQ110_spl
| sQ111_spl
| ~ sQ65_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f1435,f604,f415,f616,f613,f147]) ).
fof(f1438,plain,
( ~ sQ109_spl
| c1_1(a541)
| ~ sP4_prd(a541) ),
inference(resolution,[status(thm)],[f611,f141]) ).
fof(f1439,plain,
( ~ sQ109_spl
| sQ108_spl
| ~ sQ174_spl ),
inference(split_clause,[status(thm)],[f1438,f949,f607,f610]) ).
fof(model,axiom,
( sQ0_spl
| sQ1_spl
| sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ7_spl
| sQ8_spl
| sQ9_spl
| sQ10_spl
| ~ sQ11_spl
| ~ sQ12_spl
| sQ14_spl
| sQ15_spl
| sQ16_spl
| sQ20_spl
| sQ21_spl
| sQ22_spl
| sQ23_spl
| ~ sQ24_spl
| ~ sQ25_spl
| sQ27_spl
| sQ29_spl
| sQ30_spl
| sQ31_spl
| ~ sQ32_spl
| sQ33_spl
| ~ sQ34_spl
| ~ sQ35_spl
| ~ sQ36_spl
| ~ sQ39_spl
| ~ sQ42_spl
| sQ43_spl
| sQ44_spl
| sQ48_spl
| sQ50_spl
| sQ51_spl
| ~ sQ52_spl
| sQ54_spl
| sQ55_spl
| sQ56_spl
| ~ sQ60_spl
| sQ61_spl
| sQ62_spl
| sQ63_spl
| ~ sQ64_spl
| ~ sQ65_spl
| sQ68_spl
| ~ sQ69_spl
| ~ sQ70_spl
| ~ sQ71_spl
| sQ73_spl
| sQ74_spl
| ~ sQ75_spl
| ~ sQ76_spl
| ~ sQ77_spl
| ~ sQ78_spl
| sQ79_spl
| sQ80_spl
| ~ sQ81_spl
| sQ82_spl
| ~ sQ83_spl
| ~ sQ84_spl
| sQ85_spl
| ~ sQ86_spl
| ~ sQ88_spl
| ~ sQ89_spl
| ~ sQ90_spl
| sQ93_spl
| sQ95_spl
| ~ sQ98_spl
| sQ99_spl
| ~ sQ100_spl
| sQ103_spl
| ~ sQ104_spl
| sQ105_spl
| sQ107_spl
| ~ sQ108_spl
| sQ110_spl
| sQ111_spl
| sQ113_spl
| sQ114_spl
| sQ115_spl
| ~ sQ116_spl
| ~ sQ118_spl
| ~ sQ119_spl
| ~ sQ120_spl
| sQ121_spl
| sQ122_spl
| sQ123_spl
| sQ124_spl
| ~ sQ126_spl
| sQ127_spl
| sQ130_spl
| ~ sQ131_spl
| ~ sQ132_spl
| ~ sQ133_spl
| ~ sQ134_spl
| ~ sQ135_spl
| sQ137_spl
| ~ sQ138_spl
| sQ139_spl
| ~ sQ140_spl
| sQ141_spl
| sQ142_spl
| ~ sQ143_spl
| sQ144_spl
| ~ sQ145_spl
| ~ sQ147_spl
| sQ150_spl
| ~ sQ152_spl
| sQ153_spl
| sQ156_spl
| sQ158_spl
| ~ sQ160_spl
| sQ161_spl
| ~ sQ162_spl
| ~ sQ163_spl
| ~ sQ164_spl
| ~ sQ165_spl
| ~ sQ166_spl
| sQ167_spl
| sQ171_spl
| ~ sQ172_spl
| ~ sQ173_spl
| ~ sQ174_spl
| ~ sQ177_spl
| ~ sQ178_spl
| ~ sQ179_spl
| ~ sQ180_spl
| ~ sQ181_spl
| sQ182_spl
| sQ184_spl
| sQ185_spl
| sQ186_spl
| sQ187_spl
| sQ189_spl
| sQ191_spl
| ~ sQ192_spl
| sQ193_spl
| ~ sQ194_spl
| ~ sQ195_spl
| ~ sQ196_spl
| ~ sQ197_spl
| ~ sQ198_spl
| sQ199_spl
| ~ sQ200_spl
| ~ sQ201_spl
| ~ sQ202_spl
| sQ203_spl
| ~ sQ204_spl
| ~ sQ205_spl
| ~ sQ206_spl
| ~ sQ207_spl
| sQ208_spl
| ~ sQ209_spl
| ~ sQ210_spl
| ~ sQ211_spl
| sQ213_spl
| ~ sQ214_spl
| ~ sQ215_spl
| ~ sQ216_spl
| ~ sQ217_spl
| ~ sQ219_spl
| ~ sQ220_spl
| sQ221_spl
| ~ sQ222_spl
| sQ227_spl
| sQ228_spl
| sQ229_spl
| sQ230_spl
| ~ sQ232_spl
| sQ233_spl
| sQ234_spl
| sQ238_spl
| sQ246_spl
| sQ248_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN536+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.46 % Computer : n008.cluster.edu
% 0.16/0.46 % Model : x86_64 x86_64
% 0.16/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.46 % Memory : 8046.5625MB
% 0.16/0.46 % OS : Linux 6.8.0-71-generic
% 0.16/0.46 % CPULimit : 300
% 0.16/0.46 % WCLimit : 300
% 0.16/0.46 % DateTime : Mon Sep 21 11:07:25 UTC 2026
% 0.16/0.47 % CPUTime :
% 0.16/0.49 % Drodi V4.1.1
% 0.16/0.56 % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.16/0.56 % SZS output start Saturation for theBenchmark
% See solution above
% 0.20/0.59 % Elapsed time: 0.105686 seconds
% 0.20/0.59 % CPU time: 0.511342 seconds
% 0.20/0.59 % Total memory used: 23.026 MB
% 0.20/0.59 % Net memory used: 22.900 MB
%------------------------------------------------------------------------------