%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN533+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 03:20:00 PM UTC 2026
% Result : CounterSatisfiable 0.16s 0.47s
% Output : Saturation 0.16s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ( ( ( ~ c5_1(a470)
& ~ c3_1(a470)
& ndr1_0 )
| ! [X10] :
( ndr1_0
=> ( ( c2_2(X10,a469)
& c4_2(X10,a469)
& c5_2(X10,a469)
& ndr1_1(X10) )
| ( c5_2(X10,a468)
& ~ c1_2(X10,a468)
& c2_2(X10,a468)
& ndr1_1(X10) )
| c1_1(X10) ) ) )
& ( c1_0
| ( c5_1(a467)
& ~ c3_1(a467)
& c4_1(a467)
& ndr1_0 ) )
& ( c2_0
| c1_0
| ~ c3_0 )
& ( ! [X9] :
( ndr1_0
=> ( c2_1(X9)
| ~ c3_1(X9) ) )
| ! [X7] :
( ndr1_0
=> ( ! [X8] :
( ndr1_1(X7)
=> ( c5_2(X7,X8)
| c2_2(X7,X8)
| c4_2(X7,X8) ) )
| ~ c4_1(X7)
| ~ c1_1(X7) ) ) )
& ( c2_0
| ( ~ c5_1(a465)
& ~ c4_2(a465,a466)
& c1_2(a465,a466)
& ~ c5_2(a465,a466)
& ndr1_1(a465)
& ndr1_0 ) )
& ( c2_0
| ( ~ c2_1(a464)
& ~ c5_1(a464)
& c3_1(a464)
& ndr1_0 ) )
& ( ~ c2_0
| ( c1_2(a461,a463)
& c2_2(a461,a463)
& ndr1_1(a461)
& c1_1(a461)
& ~ c4_2(a461,a462)
& ~ c5_2(a461,a462)
& c1_2(a461,a462)
& ndr1_1(a461)
& ndr1_0 )
| c1_0 )
& ( ~ c3_0
| ( ! [X6] :
( ndr1_1(a460)
=> c3_2(a460,X6) )
& ~ c1_1(a460)
& c2_1(a460)
& ndr1_0 )
| ( ~ c3_2(a458,a459)
& ~ c1_2(a458,a459)
& c5_2(a458,a459)
& ndr1_1(a458)
& ~ c5_1(a458)
& c1_1(a458)
& ndr1_0 ) )
& ( ! [X5] :
( ndr1_0
=> ( c3_1(X5)
| c2_1(X5) ) )
| c1_0 )
& ( ( ~ c4_2(a455,a457)
& c2_2(a455,a457)
& c1_2(a455,a457)
& ndr1_1(a455)
& ~ c1_1(a455)
& ~ c4_2(a455,a456)
& c3_2(a455,a456)
& c2_2(a455,a456)
& ndr1_1(a455)
& ndr1_0 )
| ( ~ c3_2(a453,a454)
& ~ c1_2(a453,a454)
& c5_2(a453,a454)
& ndr1_1(a453)
& ~ c4_1(a453)
& ndr1_0 )
| ~ c1_0 )
& ( ! [X4] :
( ndr1_0
=> ( ~ c3_1(X4)
| c2_1(X4) ) )
| c3_0
| c2_0 )
& ( ~ c5_0
| ( c3_1(a451)
& ~ c4_1(a451)
& c3_2(a451,a452)
& ~ c2_2(a451,a452)
& ndr1_1(a451)
& ndr1_0 )
| c2_0 )
& ( c2_0
| ( ~ c3_2(a449,a450)
& ~ c2_2(a449,a450)
& c5_2(a449,a450)
& ndr1_1(a449)
& c2_1(a449)
& c1_1(a449)
& ndr1_0 )
| ( ~ c2_2(a447,a448)
& ~ c4_2(a447,a448)
& ~ c1_2(a447,a448)
& ndr1_1(a447)
& ! [X3] :
( ndr1_1(a447)
=> ( c1_2(a447,X3)
| ~ c5_2(a447,X3)
| c3_2(a447,X3) ) )
& ndr1_0 ) )
& ( c3_0
| ( ~ c2_2(a445,a446)
& ~ c4_2(a445,a446)
& ndr1_1(a445)
& c3_1(a445)
& ndr1_0 ) )
& ( ! [X1] :
( ndr1_0
=> ( ! [X2] :
( ndr1_1(X1)
=> ( c4_2(X1,X2)
| ~ c3_2(X1,X2)
| c5_2(X1,X2) ) )
| ~ c1_1(X1) ) )
| c1_0
| c3_0 )
& ( ! [X] :
( ndr1_0
=> ( ! [Z] :
( ndr1_1(X)
=> ( c4_2(X,Z)
| c1_2(X,Z)
| ~ c3_2(X,Z) ) )
| ! [Y] :
( ndr1_1(X)
=> ( c3_2(X,Y)
| ~ c5_2(X,Y) ) ) ) )
| ! [W] :
( ndr1_0
=> ( ~ c2_1(W)
| ( ~ c3_2(W,a444)
& ~ c5_2(W,a444)
& ndr1_1(W) )
| ( c3_2(W,a443)
& ~ c1_2(W,a443)
& ndr1_1(W) ) ) )
| c1_0 )
& c4_0
& ( c2_0
| ! [U] :
( ndr1_0
=> ( ~ c3_1(U)
| ! [V] :
( ndr1_1(U)
=> ( ~ c2_2(U,V)
| c5_2(U,V) ) )
| c2_1(U) ) )
| ~ c1_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ~ ( ( ( ~ c5_1(a470)
& ~ c3_1(a470)
& ndr1_0 )
| ! [X10] :
( ndr1_0
=> ( ( c2_2(X10,a469)
& c4_2(X10,a469)
& c5_2(X10,a469)
& ndr1_1(X10) )
| ( c5_2(X10,a468)
& ~ c1_2(X10,a468)
& c2_2(X10,a468)
& ndr1_1(X10) )
| c1_1(X10) ) ) )
& ( c1_0
| ( c5_1(a467)
& ~ c3_1(a467)
& c4_1(a467)
& ndr1_0 ) )
& ( c2_0
| c1_0
| ~ c3_0 )
& ( ! [X9] :
( ndr1_0
=> ( c2_1(X9)
| ~ c3_1(X9) ) )
| ! [X7] :
( ndr1_0
=> ( ! [X8] :
( ndr1_1(X7)
=> ( c5_2(X7,X8)
| c2_2(X7,X8)
| c4_2(X7,X8) ) )
| ~ c4_1(X7)
| ~ c1_1(X7) ) ) )
& ( c2_0
| ( ~ c5_1(a465)
& ~ c4_2(a465,a466)
& c1_2(a465,a466)
& ~ c5_2(a465,a466)
& ndr1_1(a465)
& ndr1_0 ) )
& ( c2_0
| ( ~ c2_1(a464)
& ~ c5_1(a464)
& c3_1(a464)
& ndr1_0 ) )
& ( ~ c2_0
| ( c1_2(a461,a463)
& c2_2(a461,a463)
& ndr1_1(a461)
& c1_1(a461)
& ~ c4_2(a461,a462)
& ~ c5_2(a461,a462)
& c1_2(a461,a462)
& ndr1_1(a461)
& ndr1_0 )
| c1_0 )
& ( ~ c3_0
| ( ! [X6] :
( ndr1_1(a460)
=> c3_2(a460,X6) )
& ~ c1_1(a460)
& c2_1(a460)
& ndr1_0 )
| ( ~ c3_2(a458,a459)
& ~ c1_2(a458,a459)
& c5_2(a458,a459)
& ndr1_1(a458)
& ~ c5_1(a458)
& c1_1(a458)
& ndr1_0 ) )
& ( ! [X5] :
( ndr1_0
=> ( c3_1(X5)
| c2_1(X5) ) )
| c1_0 )
& ( ( ~ c4_2(a455,a457)
& c2_2(a455,a457)
& c1_2(a455,a457)
& ndr1_1(a455)
& ~ c1_1(a455)
& ~ c4_2(a455,a456)
& c3_2(a455,a456)
& c2_2(a455,a456)
& ndr1_1(a455)
& ndr1_0 )
| ( ~ c3_2(a453,a454)
& ~ c1_2(a453,a454)
& c5_2(a453,a454)
& ndr1_1(a453)
& ~ c4_1(a453)
& ndr1_0 )
| ~ c1_0 )
& ( ! [X4] :
( ndr1_0
=> ( ~ c3_1(X4)
| c2_1(X4) ) )
| c3_0
| c2_0 )
& ( ~ c5_0
| ( c3_1(a451)
& ~ c4_1(a451)
& c3_2(a451,a452)
& ~ c2_2(a451,a452)
& ndr1_1(a451)
& ndr1_0 )
| c2_0 )
& ( c2_0
| ( ~ c3_2(a449,a450)
& ~ c2_2(a449,a450)
& c5_2(a449,a450)
& ndr1_1(a449)
& c2_1(a449)
& c1_1(a449)
& ndr1_0 )
| ( ~ c2_2(a447,a448)
& ~ c4_2(a447,a448)
& ~ c1_2(a447,a448)
& ndr1_1(a447)
& ! [X3] :
( ndr1_1(a447)
=> ( c1_2(a447,X3)
| ~ c5_2(a447,X3)
| c3_2(a447,X3) ) )
& ndr1_0 ) )
& ( c3_0
| ( ~ c2_2(a445,a446)
& ~ c4_2(a445,a446)
& ndr1_1(a445)
& c3_1(a445)
& ndr1_0 ) )
& ( ! [X1] :
( ndr1_0
=> ( ! [X2] :
( ndr1_1(X1)
=> ( c4_2(X1,X2)
| ~ c3_2(X1,X2)
| c5_2(X1,X2) ) )
| ~ c1_1(X1) ) )
| c1_0
| c3_0 )
& ( ! [X] :
( ndr1_0
=> ( ! [Z] :
( ndr1_1(X)
=> ( c4_2(X,Z)
| c1_2(X,Z)
| ~ c3_2(X,Z) ) )
| ! [Y] :
( ndr1_1(X)
=> ( c3_2(X,Y)
| ~ c5_2(X,Y) ) ) ) )
| ! [W] :
( ndr1_0
=> ( ~ c2_1(W)
| ( ~ c3_2(W,a444)
& ~ c5_2(W,a444)
& ndr1_1(W) )
| ( c3_2(W,a443)
& ~ c1_2(W,a443)
& ndr1_1(W) ) ) )
| c1_0 )
& c4_0
& ( c2_0
| ! [U] :
( ndr1_0
=> ( ~ c3_1(U)
| ! [V] :
( ndr1_1(U)
=> ( ~ c2_2(U,V)
| c5_2(U,V) ) )
| c2_1(U) ) )
| ~ c1_0 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( ( ~ c5_1(a470)
& ~ c3_1(a470)
& ndr1_0 )
| ! [X10] :
( ( c2_2(X10,a469)
& c4_2(X10,a469)
& c5_2(X10,a469)
& ndr1_1(X10) )
| ( c5_2(X10,a468)
& ~ c1_2(X10,a468)
& c2_2(X10,a468)
& ndr1_1(X10) )
| c1_1(X10)
| ~ ndr1_0 ) )
& ( c1_0
| ( c5_1(a467)
& ~ c3_1(a467)
& c4_1(a467)
& ndr1_0 ) )
& ( c2_0
| c1_0
| ~ c3_0 )
& ( ! [X9] :
( c2_1(X9)
| ~ c3_1(X9)
| ~ ndr1_0 )
| ! [X7] :
( ! [X8] :
( c5_2(X7,X8)
| c2_2(X7,X8)
| c4_2(X7,X8)
| ~ ndr1_1(X7) )
| ~ c4_1(X7)
| ~ c1_1(X7)
| ~ ndr1_0 ) )
& ( c2_0
| ( ~ c5_1(a465)
& ~ c4_2(a465,a466)
& c1_2(a465,a466)
& ~ c5_2(a465,a466)
& ndr1_1(a465)
& ndr1_0 ) )
& ( c2_0
| ( ~ c2_1(a464)
& ~ c5_1(a464)
& c3_1(a464)
& ndr1_0 ) )
& ( ~ c2_0
| ( c1_2(a461,a463)
& c2_2(a461,a463)
& ndr1_1(a461)
& c1_1(a461)
& ~ c4_2(a461,a462)
& ~ c5_2(a461,a462)
& c1_2(a461,a462)
& ndr1_1(a461)
& ndr1_0 )
| c1_0 )
& ( ~ c3_0
| ( ! [X6] :
( c3_2(a460,X6)
| ~ ndr1_1(a460) )
& ~ c1_1(a460)
& c2_1(a460)
& ndr1_0 )
| ( ~ c3_2(a458,a459)
& ~ c1_2(a458,a459)
& c5_2(a458,a459)
& ndr1_1(a458)
& ~ c5_1(a458)
& c1_1(a458)
& ndr1_0 ) )
& ( ! [X5] :
( c3_1(X5)
| c2_1(X5)
| ~ ndr1_0 )
| c1_0 )
& ( ( ~ c4_2(a455,a457)
& c2_2(a455,a457)
& c1_2(a455,a457)
& ndr1_1(a455)
& ~ c1_1(a455)
& ~ c4_2(a455,a456)
& c3_2(a455,a456)
& c2_2(a455,a456)
& ndr1_1(a455)
& ndr1_0 )
| ( ~ c3_2(a453,a454)
& ~ c1_2(a453,a454)
& c5_2(a453,a454)
& ndr1_1(a453)
& ~ c4_1(a453)
& ndr1_0 )
| ~ c1_0 )
& ( ! [X4] :
( ~ c3_1(X4)
| c2_1(X4)
| ~ ndr1_0 )
| c3_0
| c2_0 )
& ( ~ c5_0
| ( c3_1(a451)
& ~ c4_1(a451)
& c3_2(a451,a452)
& ~ c2_2(a451,a452)
& ndr1_1(a451)
& ndr1_0 )
| c2_0 )
& ( c2_0
| ( ~ c3_2(a449,a450)
& ~ c2_2(a449,a450)
& c5_2(a449,a450)
& ndr1_1(a449)
& c2_1(a449)
& c1_1(a449)
& ndr1_0 )
| ( ~ c2_2(a447,a448)
& ~ c4_2(a447,a448)
& ~ c1_2(a447,a448)
& ndr1_1(a447)
& ! [X3] :
( c1_2(a447,X3)
| ~ c5_2(a447,X3)
| c3_2(a447,X3)
| ~ ndr1_1(a447) )
& ndr1_0 ) )
& ( c3_0
| ( ~ c2_2(a445,a446)
& ~ c4_2(a445,a446)
& ndr1_1(a445)
& c3_1(a445)
& ndr1_0 ) )
& ( ! [X1] :
( ! [X2] :
( c4_2(X1,X2)
| ~ c3_2(X1,X2)
| c5_2(X1,X2)
| ~ ndr1_1(X1) )
| ~ c1_1(X1)
| ~ ndr1_0 )
| c1_0
| c3_0 )
& ( ! [X] :
( ! [Z] :
( c4_2(X,Z)
| c1_2(X,Z)
| ~ c3_2(X,Z)
| ~ ndr1_1(X) )
| ! [Y] :
( c3_2(X,Y)
| ~ c5_2(X,Y)
| ~ ndr1_1(X) )
| ~ ndr1_0 )
| ! [W] :
( ~ c2_1(W)
| ( ~ c3_2(W,a444)
& ~ c5_2(W,a444)
& ndr1_1(W) )
| ( c3_2(W,a443)
& ~ c1_2(W,a443)
& ndr1_1(W) )
| ~ ndr1_0 )
| c1_0 )
& c4_0
& ( c2_0
| ! [U] :
( ~ c3_1(U)
| ! [V] :
( ~ c2_2(U,V)
| c5_2(U,V)
| ~ ndr1_1(U) )
| c2_1(U)
| ~ ndr1_0 )
| ~ c1_0 ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,definition,
! [W] :
( sP0_prd(W)
<=> ( c3_2(W,a443)
& ~ c1_2(W,a443)
& ndr1_1(W) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f5,definition,
( sP1_prd
<=> ( ~ c2_2(a447,a448)
& ~ c4_2(a447,a448)
& ~ c1_2(a447,a448)
& ndr1_1(a447)
& ! [X3] :
( c1_2(a447,X3)
| ~ c5_2(a447,X3)
| c3_2(a447,X3)
| ~ ndr1_1(a447) )
& ndr1_0 ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f6,definition,
( sP2_prd
<=> ( ~ c3_2(a453,a454)
& ~ c1_2(a453,a454)
& c5_2(a453,a454)
& ndr1_1(a453)
& ~ c4_1(a453)
& ndr1_0 ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f7,definition,
( sP3_prd
<=> ( ~ c3_2(a458,a459)
& ~ c1_2(a458,a459)
& c5_2(a458,a459)
& ndr1_1(a458)
& ~ c5_1(a458)
& c1_1(a458)
& ndr1_0 ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f8,definition,
! [X10] :
( sP4_prd(X10)
<=> ( c5_2(X10,a468)
& ~ c1_2(X10,a468)
& c2_2(X10,a468)
& ndr1_1(X10) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f9,definition,
! [X10] :
( sP5_prd(X10)
<=> ( c2_2(X10,a469)
& c4_2(X10,a469)
& c5_2(X10,a469)
& ndr1_1(X10) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f10,plain,
( ( ( ~ c5_1(a470)
& ~ c3_1(a470)
& ndr1_0 )
| ! [X10] :
( sP5_prd(X10)
| sP4_prd(X10)
| c1_1(X10)
| ~ ndr1_0 ) )
& ( c1_0
| ( c5_1(a467)
& ~ c3_1(a467)
& c4_1(a467)
& ndr1_0 ) )
& ( c2_0
| c1_0
| ~ c3_0 )
& ( ! [X9] :
( c2_1(X9)
| ~ c3_1(X9)
| ~ ndr1_0 )
| ! [X7] :
( ! [X8] :
( c5_2(X7,X8)
| c2_2(X7,X8)
| c4_2(X7,X8)
| ~ ndr1_1(X7) )
| ~ c4_1(X7)
| ~ c1_1(X7)
| ~ ndr1_0 ) )
& ( c2_0
| ( ~ c5_1(a465)
& ~ c4_2(a465,a466)
& c1_2(a465,a466)
& ~ c5_2(a465,a466)
& ndr1_1(a465)
& ndr1_0 ) )
& ( c2_0
| ( ~ c2_1(a464)
& ~ c5_1(a464)
& c3_1(a464)
& ndr1_0 ) )
& ( ~ c2_0
| ( c1_2(a461,a463)
& c2_2(a461,a463)
& ndr1_1(a461)
& c1_1(a461)
& ~ c4_2(a461,a462)
& ~ c5_2(a461,a462)
& c1_2(a461,a462)
& ndr1_1(a461)
& ndr1_0 )
| c1_0 )
& ( ~ c3_0
| ( ! [X6] :
( c3_2(a460,X6)
| ~ ndr1_1(a460) )
& ~ c1_1(a460)
& c2_1(a460)
& ndr1_0 )
| sP3_prd )
& ( ! [X5] :
( c3_1(X5)
| c2_1(X5)
| ~ ndr1_0 )
| c1_0 )
& ( ( ~ c4_2(a455,a457)
& c2_2(a455,a457)
& c1_2(a455,a457)
& ndr1_1(a455)
& ~ c1_1(a455)
& ~ c4_2(a455,a456)
& c3_2(a455,a456)
& c2_2(a455,a456)
& ndr1_1(a455)
& ndr1_0 )
| sP2_prd
| ~ c1_0 )
& ( ! [X4] :
( ~ c3_1(X4)
| c2_1(X4)
| ~ ndr1_0 )
| c3_0
| c2_0 )
& ( ~ c5_0
| ( c3_1(a451)
& ~ c4_1(a451)
& c3_2(a451,a452)
& ~ c2_2(a451,a452)
& ndr1_1(a451)
& ndr1_0 )
| c2_0 )
& ( c2_0
| ( ~ c3_2(a449,a450)
& ~ c2_2(a449,a450)
& c5_2(a449,a450)
& ndr1_1(a449)
& c2_1(a449)
& c1_1(a449)
& ndr1_0 )
| sP1_prd )
& ( c3_0
| ( ~ c2_2(a445,a446)
& ~ c4_2(a445,a446)
& ndr1_1(a445)
& c3_1(a445)
& ndr1_0 ) )
& ( ! [X1] :
( ! [X2] :
( c4_2(X1,X2)
| ~ c3_2(X1,X2)
| c5_2(X1,X2)
| ~ ndr1_1(X1) )
| ~ c1_1(X1)
| ~ ndr1_0 )
| c1_0
| c3_0 )
& ( ! [X] :
( ! [Z] :
( c4_2(X,Z)
| c1_2(X,Z)
| ~ c3_2(X,Z)
| ~ ndr1_1(X) )
| ! [Y] :
( c3_2(X,Y)
| ~ c5_2(X,Y)
| ~ ndr1_1(X) )
| ~ ndr1_0 )
| ! [W] :
( ~ c2_1(W)
| ( ~ c3_2(W,a444)
& ~ c5_2(W,a444)
& ndr1_1(W) )
| sP0_prd(W)
| ~ ndr1_0 )
| c1_0 )
& c4_0
& ( c2_0
| ! [U] :
( ~ c3_1(U)
| ! [V] :
( ~ c2_2(U,V)
| c5_2(U,V)
| ~ ndr1_1(U) )
| c2_1(U)
| ~ ndr1_0 )
| ~ c1_0 ) ),
inference(formula_renaming,[status(thm)],[f3,f9,f8,f7,f6,f5,f4]) ).
fof(f11,plain,
( ( ( ~ c5_1(a470)
& ~ c3_1(a470)
& ndr1_0 )
| ! [X10] :
( sP5_prd(X10)
| sP4_prd(X10)
| c1_1(X10) )
| ~ ndr1_0 )
& ( c1_0
| ( c5_1(a467)
& ~ c3_1(a467)
& c4_1(a467)
& ndr1_0 ) )
& ( c2_0
| c1_0
| ~ c3_0 )
& ( ! [X9] :
( c2_1(X9)
| ~ c3_1(X9) )
| ~ ndr1_0
| ! [X7] :
( ! [X8] :
( c5_2(X7,X8)
| c2_2(X7,X8)
| c4_2(X7,X8) )
| ~ ndr1_1(X7)
| ~ c4_1(X7)
| ~ c1_1(X7) )
| ~ ndr1_0 )
& ( c2_0
| ( ~ c5_1(a465)
& ~ c4_2(a465,a466)
& c1_2(a465,a466)
& ~ c5_2(a465,a466)
& ndr1_1(a465)
& ndr1_0 ) )
& ( c2_0
| ( ~ c2_1(a464)
& ~ c5_1(a464)
& c3_1(a464)
& ndr1_0 ) )
& ( ~ c2_0
| ( c1_2(a461,a463)
& c2_2(a461,a463)
& ndr1_1(a461)
& c1_1(a461)
& ~ c4_2(a461,a462)
& ~ c5_2(a461,a462)
& c1_2(a461,a462)
& ndr1_1(a461)
& ndr1_0 )
| c1_0 )
& ( ~ c3_0
| ( ( ! [X6] : c3_2(a460,X6)
| ~ ndr1_1(a460) )
& ~ c1_1(a460)
& c2_1(a460)
& ndr1_0 )
| sP3_prd )
& ( ! [X5] :
( c3_1(X5)
| c2_1(X5) )
| ~ ndr1_0
| c1_0 )
& ( ( ~ c4_2(a455,a457)
& c2_2(a455,a457)
& c1_2(a455,a457)
& ndr1_1(a455)
& ~ c1_1(a455)
& ~ c4_2(a455,a456)
& c3_2(a455,a456)
& c2_2(a455,a456)
& ndr1_1(a455)
& ndr1_0 )
| sP2_prd
| ~ c1_0 )
& ( ! [X4] :
( ~ c3_1(X4)
| c2_1(X4) )
| ~ ndr1_0
| c3_0
| c2_0 )
& ( ~ c5_0
| ( c3_1(a451)
& ~ c4_1(a451)
& c3_2(a451,a452)
& ~ c2_2(a451,a452)
& ndr1_1(a451)
& ndr1_0 )
| c2_0 )
& ( c2_0
| ( ~ c3_2(a449,a450)
& ~ c2_2(a449,a450)
& c5_2(a449,a450)
& ndr1_1(a449)
& c2_1(a449)
& c1_1(a449)
& ndr1_0 )
| sP1_prd )
& ( c3_0
| ( ~ c2_2(a445,a446)
& ~ c4_2(a445,a446)
& ndr1_1(a445)
& c3_1(a445)
& ndr1_0 ) )
& ( ! [X1] :
( ! [X2] :
( c4_2(X1,X2)
| ~ c3_2(X1,X2)
| c5_2(X1,X2) )
| ~ ndr1_1(X1)
| ~ c1_1(X1) )
| ~ ndr1_0
| c1_0
| c3_0 )
& ( ! [X] :
( ! [Z] :
( c4_2(X,Z)
| c1_2(X,Z)
| ~ c3_2(X,Z) )
| ~ ndr1_1(X)
| ! [Y] :
( c3_2(X,Y)
| ~ c5_2(X,Y) )
| ~ ndr1_1(X) )
| ~ ndr1_0
| ! [W] :
( ~ c2_1(W)
| ( ~ c3_2(W,a444)
& ~ c5_2(W,a444)
& ndr1_1(W) )
| sP0_prd(W) )
| ~ ndr1_0
| c1_0 )
& c4_0
& ( c2_0
| ! [U] :
( ~ c3_1(U)
| ! [V] :
( ~ c2_2(U,V)
| c5_2(U,V) )
| ~ ndr1_1(U)
| c2_1(U) )
| ~ ndr1_0
| ~ c1_0 ) ),
inference(miniscoping,[status(thm)],[f10]) ).
fof(f12,plain,
! [X0,X1] :
( c2_0
| ~ c3_1(X0)
| ~ c2_2(X0,X1)
| c5_2(X0,X1)
| ~ ndr1_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f13,plain,
c4_0,
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f14,plain,
! [X0,X1,X2,X3] :
( c4_2(X1,X3)
| c1_2(X1,X3)
| ~ c3_2(X1,X3)
| ~ ndr1_1(X1)
| c3_2(X1,X2)
| ~ c5_2(X1,X2)
| ~ ndr1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ndr1_1(X0)
| sP0_prd(X0)
| ~ ndr1_0
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f15,plain,
! [X0,X1,X2,X3] :
( c4_2(X1,X3)
| c1_2(X1,X3)
| ~ c3_2(X1,X3)
| ~ ndr1_1(X1)
| c3_2(X1,X2)
| ~ c5_2(X1,X2)
| ~ ndr1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c5_2(X0,a444)
| sP0_prd(X0)
| ~ ndr1_0
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f16,plain,
! [X0,X1,X2,X3] :
( c4_2(X1,X3)
| c1_2(X1,X3)
| ~ c3_2(X1,X3)
| ~ ndr1_1(X1)
| c3_2(X1,X2)
| ~ c5_2(X1,X2)
| ~ ndr1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_2(X0,a444)
| sP0_prd(X0)
| ~ ndr1_0
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f17,plain,
! [X0,X1] :
( c4_2(X0,X1)
| ~ c3_2(X0,X1)
| c5_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| c1_0
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f18,plain,
( c3_0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f19,plain,
( c3_0
| c3_1(a445) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f20,plain,
( c3_0
| ndr1_1(a445) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f21,plain,
( c3_0
| ~ c4_2(a445,a446) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f22,plain,
( c3_0
| ~ c2_2(a445,a446) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f24,plain,
( c2_0
| c1_1(a449)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f25,plain,
( c2_0
| c2_1(a449)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f26,plain,
( c2_0
| ndr1_1(a449)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f27,plain,
( c2_0
| c5_2(a449,a450)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f28,plain,
( c2_0
| ~ c2_2(a449,a450)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f29,plain,
( c2_0
| ~ c3_2(a449,a450)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f31,plain,
( ~ c5_0
| ndr1_1(a451)
| c2_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f32,plain,
( ~ c5_0
| ~ c2_2(a451,a452)
| c2_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f33,plain,
( ~ c5_0
| c3_2(a451,a452)
| c2_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f34,plain,
( ~ c5_0
| ~ c4_1(a451)
| c2_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f35,plain,
( ~ c5_0
| c3_1(a451)
| c2_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f36,plain,
! [X0] :
( ~ c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| c3_0
| c2_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f37,plain,
( ndr1_0
| sP2_prd
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f38,plain,
( ndr1_1(a455)
| sP2_prd
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f39,plain,
( c2_2(a455,a456)
| sP2_prd
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f40,plain,
( c3_2(a455,a456)
| sP2_prd
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f41,plain,
( ~ c4_2(a455,a456)
| sP2_prd
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f42,plain,
( ~ c1_1(a455)
| sP2_prd
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f44,plain,
( c1_2(a455,a457)
| sP2_prd
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f45,plain,
( c2_2(a455,a457)
| sP2_prd
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f46,plain,
( ~ c4_2(a455,a457)
| sP2_prd
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f47,plain,
! [X0] :
( c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f48,plain,
( ~ c3_0
| ndr1_0
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f49,plain,
( ~ c3_0
| c2_1(a460)
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f50,plain,
( ~ c3_0
| ~ c1_1(a460)
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f51,plain,
! [X0] :
( ~ c3_0
| c3_2(a460,X0)
| ~ ndr1_1(a460)
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f53,plain,
( ~ c2_0
| ndr1_1(a461)
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f54,plain,
( ~ c2_0
| c1_2(a461,a462)
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f55,plain,
( ~ c2_0
| ~ c5_2(a461,a462)
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f56,plain,
( ~ c2_0
| ~ c4_2(a461,a462)
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f57,plain,
( ~ c2_0
| c1_1(a461)
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f59,plain,
( ~ c2_0
| c2_2(a461,a463)
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f60,plain,
( ~ c2_0
| c1_2(a461,a463)
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f61,plain,
( c2_0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f62,plain,
( c2_0
| c3_1(a464) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f63,plain,
( c2_0
| ~ c5_1(a464) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f64,plain,
( c2_0
| ~ c2_1(a464) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f66,plain,
( c2_0
| ndr1_1(a465) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f67,plain,
( c2_0
| ~ c5_2(a465,a466) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f68,plain,
( c2_0
| c1_2(a465,a466) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f69,plain,
( c2_0
| ~ c4_2(a465,a466) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f70,plain,
( c2_0
| ~ c5_1(a465) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f71,plain,
! [X0,X1,X2] :
( c2_1(X2)
| ~ c3_1(X2)
| ~ ndr1_0
| c5_2(X0,X1)
| c2_2(X0,X1)
| c4_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c4_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f72,plain,
( c2_0
| c1_0
| ~ c3_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f73,plain,
( c1_0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f74,plain,
( c1_0
| c4_1(a467) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f75,plain,
( c1_0
| ~ c3_1(a467) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f76,plain,
( c1_0
| c5_1(a467) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f78,plain,
! [X0] :
( ~ c3_1(a470)
| sP5_prd(X0)
| sP4_prd(X0)
| c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f79,plain,
! [X0] :
( ~ c5_1(a470)
| sP5_prd(X0)
| sP4_prd(X0)
| c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f80,plain,
! [W] :
( ( ~ c3_2(W,a443)
| c1_2(W,a443)
| ~ ndr1_1(W)
| sP0_prd(W) )
& ( ( c3_2(W,a443)
& ~ c1_2(W,a443)
& ndr1_1(W) )
| ~ sP0_prd(W) ) ),
inference(NNF_transformation,[status(thm)],[f4]) ).
fof(f81,plain,
( ! [W] :
( ~ c3_2(W,a443)
| c1_2(W,a443)
| ~ ndr1_1(W)
| sP0_prd(W) )
& ! [W] :
( ( c3_2(W,a443)
& ~ c1_2(W,a443)
& ndr1_1(W) )
| ~ sP0_prd(W) ) ),
inference(miniscoping,[status(thm)],[f80]) ).
fof(f82,plain,
! [X0] :
( ndr1_1(X0)
| ~ sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f83,plain,
! [X0] :
( ~ c1_2(X0,a443)
| ~ sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f84,plain,
! [X0] :
( c3_2(X0,a443)
| ~ sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f85,plain,
! [X0] :
( ~ c3_2(X0,a443)
| c1_2(X0,a443)
| ~ ndr1_1(X0)
| sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f86,plain,
( ( c2_2(a447,a448)
| c4_2(a447,a448)
| c1_2(a447,a448)
| ~ ndr1_1(a447)
| ? [X3] :
( ~ c1_2(a447,X3)
& c5_2(a447,X3)
& ~ c3_2(a447,X3)
& ndr1_1(a447) )
| ~ ndr1_0
| sP1_prd )
& ( ( ~ c2_2(a447,a448)
& ~ c4_2(a447,a448)
& ~ c1_2(a447,a448)
& ndr1_1(a447)
& ! [X3] :
( c1_2(a447,X3)
| ~ c5_2(a447,X3)
| c3_2(a447,X3)
| ~ ndr1_1(a447) )
& ndr1_0 )
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f5]) ).
fof(f87,plain,
( ( c2_2(a447,a448)
| c4_2(a447,a448)
| c1_2(a447,a448)
| ~ ndr1_1(a447)
| ( ? [X3] :
( ~ c1_2(a447,X3)
& c5_2(a447,X3)
& ~ c3_2(a447,X3) )
& ndr1_1(a447) )
| ~ ndr1_0
| sP1_prd )
& ( ( ~ c2_2(a447,a448)
& ~ c4_2(a447,a448)
& ~ c1_2(a447,a448)
& ndr1_1(a447)
& ( ! [X3] :
( c1_2(a447,X3)
| ~ c5_2(a447,X3)
| c3_2(a447,X3) )
| ~ ndr1_1(a447) )
& ndr1_0 )
| ~ sP1_prd ) ),
inference(miniscoping,[status(thm)],[f86]) ).
fof(f88,plain,
( ( c2_2(a447,a448)
| c4_2(a447,a448)
| c1_2(a447,a448)
| ~ ndr1_1(a447)
| ( ~ c1_2(a447,sK0_skl)
& c5_2(a447,sK0_skl)
& ~ c3_2(a447,sK0_skl)
& ndr1_1(a447) )
| ~ ndr1_0
| sP1_prd )
& ( ( ~ c2_2(a447,a448)
& ~ c4_2(a447,a448)
& ~ c1_2(a447,a448)
& ndr1_1(a447)
& ( ! [X3] :
( c1_2(a447,X3)
| ~ c5_2(a447,X3)
| c3_2(a447,X3) )
| ~ ndr1_1(a447) )
& ndr1_0 )
| ~ sP1_prd ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X3,sK0_skl)],[f87]) ).
fof(f89,plain,
( ndr1_0
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f90,plain,
! [X0] :
( c1_2(a447,X0)
| ~ c5_2(a447,X0)
| c3_2(a447,X0)
| ~ ndr1_1(a447)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f91,plain,
( ndr1_1(a447)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f92,plain,
( ~ c1_2(a447,a448)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f93,plain,
( ~ c4_2(a447,a448)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f94,plain,
( ~ c2_2(a447,a448)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f96,plain,
( c2_2(a447,a448)
| c4_2(a447,a448)
| c1_2(a447,a448)
| ~ ndr1_1(a447)
| ~ c3_2(a447,sK0_skl)
| ~ ndr1_0
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f97,plain,
( c2_2(a447,a448)
| c4_2(a447,a448)
| c1_2(a447,a448)
| ~ ndr1_1(a447)
| c5_2(a447,sK0_skl)
| ~ ndr1_0
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f98,plain,
( c2_2(a447,a448)
| c4_2(a447,a448)
| c1_2(a447,a448)
| ~ ndr1_1(a447)
| ~ c1_2(a447,sK0_skl)
| ~ ndr1_0
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f99,plain,
( ( c3_2(a453,a454)
| c1_2(a453,a454)
| ~ c5_2(a453,a454)
| ~ ndr1_1(a453)
| c4_1(a453)
| ~ ndr1_0
| sP2_prd )
& ( ( ~ c3_2(a453,a454)
& ~ c1_2(a453,a454)
& c5_2(a453,a454)
& ndr1_1(a453)
& ~ c4_1(a453)
& ndr1_0 )
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f6]) ).
fof(f100,plain,
( ndr1_0
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f101,plain,
( ~ c4_1(a453)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f102,plain,
( ndr1_1(a453)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f103,plain,
( c5_2(a453,a454)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f104,plain,
( ~ c1_2(a453,a454)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f105,plain,
( ~ c3_2(a453,a454)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f106,plain,
( c3_2(a453,a454)
| c1_2(a453,a454)
| ~ c5_2(a453,a454)
| ~ ndr1_1(a453)
| c4_1(a453)
| ~ ndr1_0
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f107,plain,
( ( c3_2(a458,a459)
| c1_2(a458,a459)
| ~ c5_2(a458,a459)
| ~ ndr1_1(a458)
| c5_1(a458)
| ~ c1_1(a458)
| ~ ndr1_0
| sP3_prd )
& ( ( ~ c3_2(a458,a459)
& ~ c1_2(a458,a459)
& c5_2(a458,a459)
& ndr1_1(a458)
& ~ c5_1(a458)
& c1_1(a458)
& ndr1_0 )
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f7]) ).
fof(f108,plain,
( ndr1_0
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f109,plain,
( c1_1(a458)
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f110,plain,
( ~ c5_1(a458)
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f111,plain,
( ndr1_1(a458)
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f112,plain,
( c5_2(a458,a459)
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f113,plain,
( ~ c1_2(a458,a459)
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f114,plain,
( ~ c3_2(a458,a459)
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f115,plain,
( c3_2(a458,a459)
| c1_2(a458,a459)
| ~ c5_2(a458,a459)
| ~ ndr1_1(a458)
| c5_1(a458)
| ~ c1_1(a458)
| ~ ndr1_0
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f116,plain,
! [X10] :
( ( ~ c5_2(X10,a468)
| c1_2(X10,a468)
| ~ c2_2(X10,a468)
| ~ ndr1_1(X10)
| sP4_prd(X10) )
& ( ( c5_2(X10,a468)
& ~ c1_2(X10,a468)
& c2_2(X10,a468)
& ndr1_1(X10) )
| ~ sP4_prd(X10) ) ),
inference(NNF_transformation,[status(thm)],[f8]) ).
fof(f117,plain,
( ! [X10] :
( ~ c5_2(X10,a468)
| c1_2(X10,a468)
| ~ c2_2(X10,a468)
| ~ ndr1_1(X10)
| sP4_prd(X10) )
& ! [X10] :
( ( c5_2(X10,a468)
& ~ c1_2(X10,a468)
& c2_2(X10,a468)
& ndr1_1(X10) )
| ~ sP4_prd(X10) ) ),
inference(miniscoping,[status(thm)],[f116]) ).
fof(f118,plain,
! [X0] :
( ndr1_1(X0)
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f117]) ).
fof(f119,plain,
! [X0] :
( c2_2(X0,a468)
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f117]) ).
fof(f120,plain,
! [X0] :
( ~ c1_2(X0,a468)
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f117]) ).
fof(f121,plain,
! [X0] :
( c5_2(X0,a468)
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f117]) ).
fof(f122,plain,
! [X0] :
( ~ c5_2(X0,a468)
| c1_2(X0,a468)
| ~ c2_2(X0,a468)
| ~ ndr1_1(X0)
| sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f117]) ).
fof(f123,plain,
! [X10] :
( ( ~ c2_2(X10,a469)
| ~ c4_2(X10,a469)
| ~ c5_2(X10,a469)
| ~ ndr1_1(X10)
| sP5_prd(X10) )
& ( ( c2_2(X10,a469)
& c4_2(X10,a469)
& c5_2(X10,a469)
& ndr1_1(X10) )
| ~ sP5_prd(X10) ) ),
inference(NNF_transformation,[status(thm)],[f9]) ).
fof(f124,plain,
( ! [X10] :
( ~ c2_2(X10,a469)
| ~ c4_2(X10,a469)
| ~ c5_2(X10,a469)
| ~ ndr1_1(X10)
| sP5_prd(X10) )
& ! [X10] :
( ( c2_2(X10,a469)
& c4_2(X10,a469)
& c5_2(X10,a469)
& ndr1_1(X10) )
| ~ sP5_prd(X10) ) ),
inference(miniscoping,[status(thm)],[f123]) ).
fof(f125,plain,
! [X0] :
( ndr1_1(X0)
| ~ sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f124]) ).
fof(f126,plain,
! [X0] :
( c5_2(X0,a469)
| ~ sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f124]) ).
fof(f127,plain,
! [X0] :
( c4_2(X0,a469)
| ~ sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f124]) ).
fof(f128,plain,
! [X0] :
( c2_2(X0,a469)
| ~ sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f124]) ).
fof(f129,plain,
! [X0] :
( ~ c2_2(X0,a469)
| ~ c4_2(X0,a469)
| ~ c5_2(X0,a469)
| ~ ndr1_1(X0)
| sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f124]) ).
fof(f130,definition,
( sQ0_spl
<=> c1_0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f131,plain,
( ~ sQ0_spl
| c1_0 ),
inference(component_clause,[status(thm)],[f130]) ).
fof(f133,definition,
( sQ1_spl
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f134,plain,
( ~ sQ1_spl
| ndr1_0 ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f136,definition,
! [X0,X1] :
( sQ2_spl
<=> ( ~ c3_1(X0)
| ~ c2_2(X0,X1)
| c5_2(X0,X1)
| ~ ndr1_1(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f137,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ c3_1(X0)
| ~ c2_2(X0,X1)
| c5_2(X0,X1)
| ~ ndr1_1(X0)
| c2_1(X0) ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f139,definition,
( sQ3_spl
<=> c2_0 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f140,plain,
( ~ sQ3_spl
| c2_0 ),
inference(component_clause,[status(thm)],[f139]) ).
fof(f142,plain,
( sQ3_spl
| sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f12,f130,f133,f136,f139]) ).
fof(f143,definition,
! [X0] :
( sQ4_spl
<=> ( ~ c2_1(X0)
| ndr1_1(X0)
| sP0_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f144,plain,
! [X0] :
( ~ sQ4_spl
| ~ c2_1(X0)
| ndr1_1(X0)
| sP0_prd(X0) ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,definition,
! [X1,X2,X3] :
( sQ5_spl
<=> ( c4_2(X1,X3)
| c1_2(X1,X3)
| ~ c3_2(X1,X3)
| ~ ndr1_1(X1)
| c3_2(X1,X2)
| ~ c5_2(X1,X2)
| ~ ndr1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f147,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| c4_2(X0,X2)
| c1_2(X0,X2)
| ~ c3_2(X0,X2)
| ~ ndr1_1(X0)
| c3_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f149,plain,
( sQ5_spl
| sQ4_spl
| ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f14,f130,f133,f143,f146]) ).
fof(f150,definition,
! [X0] :
( sQ6_spl
<=> ( ~ c2_1(X0)
| ~ c5_2(X0,a444)
| sP0_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f151,plain,
! [X0] :
( ~ sQ6_spl
| ~ c2_1(X0)
| ~ c5_2(X0,a444)
| sP0_prd(X0) ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f153,plain,
( sQ5_spl
| sQ6_spl
| ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f15,f130,f133,f150,f146]) ).
fof(f154,definition,
! [X0] :
( sQ7_spl
<=> ( ~ c2_1(X0)
| ~ c3_2(X0,a444)
| sP0_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f155,plain,
! [X0] :
( ~ sQ7_spl
| ~ c2_1(X0)
| ~ c3_2(X0,a444)
| sP0_prd(X0) ),
inference(component_clause,[status(thm)],[f154]) ).
fof(f157,plain,
( sQ5_spl
| sQ7_spl
| ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f16,f130,f133,f154,f146]) ).
fof(f158,definition,
( sQ8_spl
<=> c3_0 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f159,plain,
( ~ sQ8_spl
| c3_0 ),
inference(component_clause,[status(thm)],[f158]) ).
fof(f160,plain,
( sQ8_spl
| ~ c3_0 ),
inference(component_clause,[status(thm)],[f158]) ).
fof(f161,definition,
! [X0,X1] :
( sQ9_spl
<=> ( c4_2(X0,X1)
| ~ c3_2(X0,X1)
| c5_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f162,plain,
! [X0,X1] :
( ~ sQ9_spl
| c4_2(X0,X1)
| ~ c3_2(X0,X1)
| c5_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c1_1(X0) ),
inference(component_clause,[status(thm)],[f161]) ).
fof(f164,plain,
( sQ9_spl
| ~ sQ1_spl
| sQ0_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f17,f158,f130,f133,f161]) ).
fof(f165,plain,
( sQ8_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f18,f133,f158]) ).
fof(f166,definition,
( sQ10_spl
<=> c3_1(a445) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f167,plain,
( ~ sQ10_spl
| c3_1(a445) ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f169,plain,
( sQ8_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f19,f166,f158]) ).
fof(f170,definition,
( sQ11_spl
<=> ndr1_1(a445) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f171,plain,
( ~ sQ11_spl
| ndr1_1(a445) ),
inference(component_clause,[status(thm)],[f170]) ).
fof(f173,plain,
( sQ8_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f20,f170,f158]) ).
fof(f174,definition,
( sQ12_spl
<=> c4_2(a445,a446) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f176,plain,
( sQ12_spl
| ~ c4_2(a445,a446) ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f177,plain,
( sQ8_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f21,f174,f158]) ).
fof(f178,definition,
( sQ13_spl
<=> c2_2(a445,a446) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f180,plain,
( sQ13_spl
| ~ c2_2(a445,a446) ),
inference(component_clause,[status(thm)],[f178]) ).
fof(f181,plain,
( sQ8_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f22,f178,f158]) ).
fof(f182,definition,
( sQ14_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f184,plain,
( sQ14_spl
| ~ sP1_prd ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f186,definition,
( sQ15_spl
<=> c1_1(a449) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f187,plain,
( ~ sQ15_spl
| c1_1(a449) ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f188,plain,
( sQ15_spl
| ~ c1_1(a449) ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f189,plain,
( sQ3_spl
| sQ15_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f24,f182,f186,f139]) ).
fof(f190,definition,
( sQ16_spl
<=> c2_1(a449) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f191,plain,
( ~ sQ16_spl
| c2_1(a449) ),
inference(component_clause,[status(thm)],[f190]) ).
fof(f193,plain,
( sQ3_spl
| sQ16_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f25,f182,f190,f139]) ).
fof(f194,definition,
( sQ17_spl
<=> ndr1_1(a449) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f195,plain,
( ~ sQ17_spl
| ndr1_1(a449) ),
inference(component_clause,[status(thm)],[f194]) ).
fof(f197,plain,
( sQ3_spl
| sQ17_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f26,f182,f194,f139]) ).
fof(f198,definition,
( sQ18_spl
<=> c5_2(a449,a450) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f199,plain,
( ~ sQ18_spl
| c5_2(a449,a450) ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f201,plain,
( sQ3_spl
| sQ18_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f27,f182,f198,f139]) ).
fof(f202,definition,
( sQ19_spl
<=> c2_2(a449,a450) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f204,plain,
( sQ19_spl
| ~ c2_2(a449,a450) ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f205,plain,
( sQ3_spl
| ~ sQ19_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f28,f182,f202,f139]) ).
fof(f206,definition,
( sQ20_spl
<=> c3_2(a449,a450) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f208,plain,
( sQ20_spl
| ~ c3_2(a449,a450) ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,plain,
( sQ3_spl
| ~ sQ20_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f29,f182,f206,f139]) ).
fof(f210,definition,
( sQ21_spl
<=> c5_0 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f212,plain,
( sQ21_spl
| ~ c5_0 ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f214,definition,
( sQ22_spl
<=> ndr1_1(a451) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f215,plain,
( ~ sQ22_spl
| ndr1_1(a451) ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f216,plain,
( sQ22_spl
| ~ ndr1_1(a451) ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f217,plain,
( ~ sQ21_spl
| sQ22_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f31,f139,f214,f210]) ).
fof(f218,definition,
( sQ23_spl
<=> c2_2(a451,a452) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f220,plain,
( sQ23_spl
| ~ c2_2(a451,a452) ),
inference(component_clause,[status(thm)],[f218]) ).
fof(f221,plain,
( ~ sQ21_spl
| ~ sQ23_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f32,f139,f218,f210]) ).
fof(f222,definition,
( sQ24_spl
<=> c3_2(a451,a452) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f223,plain,
( ~ sQ24_spl
| c3_2(a451,a452) ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f225,plain,
( ~ sQ21_spl
| sQ24_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f33,f139,f222,f210]) ).
fof(f226,definition,
( sQ25_spl
<=> c4_1(a451) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f228,plain,
( sQ25_spl
| ~ c4_1(a451) ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f229,plain,
( ~ sQ21_spl
| ~ sQ25_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f34,f139,f226,f210]) ).
fof(f230,definition,
( sQ26_spl
<=> c3_1(a451) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f231,plain,
( ~ sQ26_spl
| c3_1(a451) ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f233,plain,
( ~ sQ21_spl
| sQ26_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f35,f139,f230,f210]) ).
fof(f234,definition,
! [X0] :
( sQ27_spl
<=> ( ~ c3_1(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f235,plain,
! [X0] :
( ~ sQ27_spl
| ~ c3_1(X0)
| c2_1(X0) ),
inference(component_clause,[status(thm)],[f234]) ).
fof(f237,plain,
( sQ27_spl
| ~ sQ1_spl
| sQ8_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f36,f139,f158,f133,f234]) ).
fof(f238,definition,
( sQ28_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f239,plain,
( ~ sQ28_spl
| sP2_prd ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f241,plain,
( sQ1_spl
| sQ28_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f37,f130,f238,f133]) ).
fof(f242,definition,
( sQ29_spl
<=> ndr1_1(a455) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f243,plain,
( ~ sQ29_spl
| ndr1_1(a455) ),
inference(component_clause,[status(thm)],[f242]) ).
fof(f244,plain,
( sQ29_spl
| ~ ndr1_1(a455) ),
inference(component_clause,[status(thm)],[f242]) ).
fof(f245,plain,
( sQ29_spl
| sQ28_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f38,f130,f238,f242]) ).
fof(f246,definition,
( sQ30_spl
<=> c2_2(a455,a456) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f247,plain,
( ~ sQ30_spl
| c2_2(a455,a456) ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f249,plain,
( sQ30_spl
| sQ28_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f39,f130,f238,f246]) ).
fof(f250,definition,
( sQ31_spl
<=> c3_2(a455,a456) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f251,plain,
( ~ sQ31_spl
| c3_2(a455,a456) ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f252,plain,
( sQ31_spl
| ~ c3_2(a455,a456) ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f253,plain,
( sQ31_spl
| sQ28_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f40,f130,f238,f250]) ).
fof(f254,definition,
( sQ32_spl
<=> c4_2(a455,a456) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f255,plain,
( ~ sQ32_spl
| c4_2(a455,a456) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f256,plain,
( sQ32_spl
| ~ c4_2(a455,a456) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f257,plain,
( ~ sQ32_spl
| sQ28_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f41,f130,f238,f254]) ).
fof(f258,definition,
( sQ33_spl
<=> c1_1(a455) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f259,plain,
( ~ sQ33_spl
| c1_1(a455) ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f260,plain,
( sQ33_spl
| ~ c1_1(a455) ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f261,plain,
( ~ sQ33_spl
| sQ28_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f42,f130,f238,f258]) ).
fof(f263,definition,
( sQ34_spl
<=> c1_2(a455,a457) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f264,plain,
( ~ sQ34_spl
| c1_2(a455,a457) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f266,plain,
( sQ34_spl
| sQ28_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f44,f130,f238,f263]) ).
fof(f267,definition,
( sQ35_spl
<=> c2_2(a455,a457) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f268,plain,
( ~ sQ35_spl
| c2_2(a455,a457) ),
inference(component_clause,[status(thm)],[f267]) ).
fof(f270,plain,
( sQ35_spl
| sQ28_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f45,f130,f238,f267]) ).
fof(f271,definition,
( sQ36_spl
<=> c4_2(a455,a457) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f273,plain,
( sQ36_spl
| ~ c4_2(a455,a457) ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f274,plain,
( ~ sQ36_spl
| sQ28_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f46,f130,f238,f271]) ).
fof(f275,definition,
! [X0] :
( sQ37_spl
<=> ( c3_1(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f276,plain,
! [X0] :
( ~ sQ37_spl
| c3_1(X0)
| c2_1(X0) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,plain,
( sQ37_spl
| ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f47,f130,f133,f275]) ).
fof(f279,definition,
( sQ38_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f280,plain,
( ~ sQ38_spl
| sP3_prd ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f281,plain,
( sQ38_spl
| ~ sP3_prd ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f282,plain,
( ~ sQ8_spl
| sQ1_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f48,f279,f133,f158]) ).
fof(f283,definition,
( sQ39_spl
<=> c2_1(a460) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f284,plain,
( ~ sQ39_spl
| c2_1(a460) ),
inference(component_clause,[status(thm)],[f283]) ).
fof(f285,plain,
( sQ39_spl
| ~ c2_1(a460) ),
inference(component_clause,[status(thm)],[f283]) ).
fof(f286,plain,
( ~ sQ8_spl
| sQ39_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f49,f279,f283,f158]) ).
fof(f287,definition,
( sQ40_spl
<=> c1_1(a460) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f288,plain,
( ~ sQ40_spl
| c1_1(a460) ),
inference(component_clause,[status(thm)],[f287]) ).
fof(f289,plain,
( sQ40_spl
| ~ c1_1(a460) ),
inference(component_clause,[status(thm)],[f287]) ).
fof(f290,plain,
( ~ sQ8_spl
| ~ sQ40_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f50,f279,f287,f158]) ).
fof(f291,definition,
( sQ41_spl
<=> ndr1_1(a460) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f292,plain,
( ~ sQ41_spl
| ndr1_1(a460) ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f293,plain,
( sQ41_spl
| ~ ndr1_1(a460) ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f294,definition,
! [X0] :
( sQ42_spl
<=> c3_2(a460,X0) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f295,plain,
! [X0] :
( ~ sQ42_spl
| c3_2(a460,X0) ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f297,plain,
( ~ sQ8_spl
| sQ42_spl
| ~ sQ41_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f51,f279,f291,f294,f158]) ).
fof(f299,definition,
( sQ43_spl
<=> ndr1_1(a461) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f300,plain,
( ~ sQ43_spl
| ndr1_1(a461) ),
inference(component_clause,[status(thm)],[f299]) ).
fof(f301,plain,
( sQ43_spl
| ~ ndr1_1(a461) ),
inference(component_clause,[status(thm)],[f299]) ).
fof(f302,plain,
( ~ sQ3_spl
| sQ43_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f53,f130,f299,f139]) ).
fof(f303,definition,
( sQ44_spl
<=> c1_2(a461,a462) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f304,plain,
( ~ sQ44_spl
| c1_2(a461,a462) ),
inference(component_clause,[status(thm)],[f303]) ).
fof(f306,plain,
( ~ sQ3_spl
| sQ44_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f54,f130,f303,f139]) ).
fof(f307,definition,
( sQ45_spl
<=> c5_2(a461,a462) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f308,plain,
( ~ sQ45_spl
| c5_2(a461,a462) ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f309,plain,
( sQ45_spl
| ~ c5_2(a461,a462) ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f310,plain,
( ~ sQ3_spl
| ~ sQ45_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f55,f130,f307,f139]) ).
fof(f311,definition,
( sQ46_spl
<=> c4_2(a461,a462) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f312,plain,
( ~ sQ46_spl
| c4_2(a461,a462) ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f313,plain,
( sQ46_spl
| ~ c4_2(a461,a462) ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f314,plain,
( ~ sQ3_spl
| ~ sQ46_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f56,f130,f311,f139]) ).
fof(f315,definition,
( sQ47_spl
<=> c1_1(a461) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f316,plain,
( ~ sQ47_spl
| c1_1(a461) ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f318,plain,
( ~ sQ3_spl
| sQ47_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f57,f130,f315,f139]) ).
fof(f320,definition,
( sQ48_spl
<=> c2_2(a461,a463) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f321,plain,
( ~ sQ48_spl
| c2_2(a461,a463) ),
inference(component_clause,[status(thm)],[f320]) ).
fof(f323,plain,
( ~ sQ3_spl
| sQ48_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f59,f130,f320,f139]) ).
fof(f324,definition,
( sQ49_spl
<=> c1_2(a461,a463) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f325,plain,
( ~ sQ49_spl
| c1_2(a461,a463) ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f327,plain,
( ~ sQ3_spl
| sQ49_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f60,f130,f324,f139]) ).
fof(f328,plain,
( sQ3_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f61,f133,f139]) ).
fof(f329,definition,
( sQ50_spl
<=> c3_1(a464) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f330,plain,
( ~ sQ50_spl
| c3_1(a464) ),
inference(component_clause,[status(thm)],[f329]) ).
fof(f332,plain,
( sQ3_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f62,f329,f139]) ).
fof(f333,definition,
( sQ51_spl
<=> c5_1(a464) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f335,plain,
( sQ51_spl
| ~ c5_1(a464) ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f336,plain,
( sQ3_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f63,f333,f139]) ).
fof(f337,definition,
( sQ52_spl
<=> c2_1(a464) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f338,plain,
( ~ sQ52_spl
| c2_1(a464) ),
inference(component_clause,[status(thm)],[f337]) ).
fof(f339,plain,
( sQ52_spl
| ~ c2_1(a464) ),
inference(component_clause,[status(thm)],[f337]) ).
fof(f340,plain,
( sQ3_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f64,f337,f139]) ).
fof(f342,definition,
( sQ53_spl
<=> ndr1_1(a465) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f343,plain,
( ~ sQ53_spl
| ndr1_1(a465) ),
inference(component_clause,[status(thm)],[f342]) ).
fof(f345,plain,
( sQ3_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f66,f342,f139]) ).
fof(f346,definition,
( sQ54_spl
<=> c5_2(a465,a466) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f347,plain,
( ~ sQ54_spl
| c5_2(a465,a466) ),
inference(component_clause,[status(thm)],[f346]) ).
fof(f348,plain,
( sQ54_spl
| ~ c5_2(a465,a466) ),
inference(component_clause,[status(thm)],[f346]) ).
fof(f349,plain,
( sQ3_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f67,f346,f139]) ).
fof(f350,definition,
( sQ55_spl
<=> c1_2(a465,a466) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f351,plain,
( ~ sQ55_spl
| c1_2(a465,a466) ),
inference(component_clause,[status(thm)],[f350]) ).
fof(f353,plain,
( sQ3_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f68,f350,f139]) ).
fof(f354,definition,
( sQ56_spl
<=> c4_2(a465,a466) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f355,plain,
( ~ sQ56_spl
| c4_2(a465,a466) ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f356,plain,
( sQ56_spl
| ~ c4_2(a465,a466) ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f357,plain,
( sQ3_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f69,f354,f139]) ).
fof(f358,definition,
( sQ57_spl
<=> c5_1(a465) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f360,plain,
( sQ57_spl
| ~ c5_1(a465) ),
inference(component_clause,[status(thm)],[f358]) ).
fof(f361,plain,
( sQ3_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f70,f358,f139]) ).
fof(f362,definition,
! [X0,X1] :
( sQ58_spl
<=> ( c5_2(X0,X1)
| c2_2(X0,X1)
| c4_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c4_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f363,plain,
! [X0,X1] :
( ~ sQ58_spl
| c5_2(X0,X1)
| c2_2(X0,X1)
| c4_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c4_1(X0)
| ~ c1_1(X0) ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f365,plain,
( sQ27_spl
| sQ58_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f71,f133,f362,f234]) ).
fof(f366,plain,
( sQ3_spl
| sQ0_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f72,f158,f130,f139]) ).
fof(f367,plain,
( sQ0_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f73,f133,f130]) ).
fof(f368,definition,
( sQ59_spl
<=> c4_1(a467) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f369,plain,
( ~ sQ59_spl
| c4_1(a467) ),
inference(component_clause,[status(thm)],[f368]) ).
fof(f370,plain,
( sQ59_spl
| ~ c4_1(a467) ),
inference(component_clause,[status(thm)],[f368]) ).
fof(f371,plain,
( sQ0_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f74,f368,f130]) ).
fof(f372,definition,
( sQ60_spl
<=> c3_1(a467) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f373,plain,
( ~ sQ60_spl
| c3_1(a467) ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f374,plain,
( sQ60_spl
| ~ c3_1(a467) ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f375,plain,
( sQ0_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f75,f372,f130]) ).
fof(f376,definition,
( sQ61_spl
<=> c5_1(a467) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f377,plain,
( ~ sQ61_spl
| c5_1(a467) ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f379,plain,
( sQ0_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f76,f376,f130]) ).
fof(f380,definition,
! [X0] :
( sQ62_spl
<=> ( sP5_prd(X0)
| sP4_prd(X0)
| c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f381,plain,
! [X0] :
( ~ sQ62_spl
| sP5_prd(X0)
| sP4_prd(X0)
| c1_1(X0) ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f384,definition,
( sQ63_spl
<=> c3_1(a470) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f386,plain,
( sQ63_spl
| ~ c3_1(a470) ),
inference(component_clause,[status(thm)],[f384]) ).
fof(f387,plain,
( ~ sQ63_spl
| sQ62_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f78,f133,f380,f384]) ).
fof(f388,definition,
( sQ64_spl
<=> c5_1(a470) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f390,plain,
( sQ64_spl
| ~ c5_1(a470) ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f391,plain,
( ~ sQ64_spl
| sQ62_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f79,f133,f380,f388]) ).
fof(f392,plain,
( sQ1_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f89,f182,f133]) ).
fof(f393,definition,
( sQ65_spl
<=> ndr1_1(a447) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f395,plain,
( sQ65_spl
| ~ ndr1_1(a447) ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f396,definition,
! [X0] :
( sQ66_spl
<=> ( c1_2(a447,X0)
| ~ c5_2(a447,X0)
| c3_2(a447,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f397,plain,
! [X0] :
( ~ sQ66_spl
| c1_2(a447,X0)
| ~ c5_2(a447,X0)
| c3_2(a447,X0) ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f399,plain,
( sQ66_spl
| ~ sQ65_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f90,f182,f393,f396]) ).
fof(f400,plain,
( sQ65_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f91,f182,f393]) ).
fof(f401,definition,
( sQ67_spl
<=> c1_2(a447,a448) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f402,plain,
( ~ sQ67_spl
| c1_2(a447,a448) ),
inference(component_clause,[status(thm)],[f401]) ).
fof(f404,plain,
( ~ sQ67_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f92,f182,f401]) ).
fof(f405,definition,
( sQ68_spl
<=> c4_2(a447,a448) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f406,plain,
( ~ sQ68_spl
| c4_2(a447,a448) ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,plain,
( ~ sQ68_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f93,f182,f405]) ).
fof(f409,definition,
( sQ69_spl
<=> c2_2(a447,a448) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f410,plain,
( ~ sQ69_spl
| c2_2(a447,a448) ),
inference(component_clause,[status(thm)],[f409]) ).
fof(f412,plain,
( ~ sQ69_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f94,f182,f409]) ).
fof(f414,definition,
( sQ70_spl
<=> c3_2(a447,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f415,plain,
( ~ sQ70_spl
| c3_2(a447,sK0_skl) ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f416,plain,
( sQ70_spl
| ~ c3_2(a447,sK0_skl) ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f417,plain,
( sQ69_spl
| sQ68_spl
| sQ67_spl
| ~ sQ65_spl
| ~ sQ70_spl
| ~ sQ1_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f96,f182,f133,f414,f393,f401,f405,f409]) ).
fof(f418,definition,
( sQ71_spl
<=> c5_2(a447,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f419,plain,
( ~ sQ71_spl
| c5_2(a447,sK0_skl) ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f421,plain,
( sQ69_spl
| sQ68_spl
| sQ67_spl
| ~ sQ65_spl
| sQ71_spl
| ~ sQ1_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f97,f182,f133,f418,f393,f401,f405,f409]) ).
fof(f422,definition,
( sQ72_spl
<=> c1_2(a447,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f423,plain,
( ~ sQ72_spl
| c1_2(a447,sK0_skl) ),
inference(component_clause,[status(thm)],[f422]) ).
fof(f424,plain,
( sQ72_spl
| ~ c1_2(a447,sK0_skl) ),
inference(component_clause,[status(thm)],[f422]) ).
fof(f425,plain,
( sQ69_spl
| sQ68_spl
| sQ67_spl
| ~ sQ65_spl
| ~ sQ72_spl
| ~ sQ1_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f98,f182,f133,f422,f393,f401,f405,f409]) ).
fof(f426,plain,
( sQ1_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f100,f238,f133]) ).
fof(f427,definition,
( sQ73_spl
<=> c4_1(a453) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f429,plain,
( sQ73_spl
| ~ c4_1(a453) ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f430,plain,
( ~ sQ73_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f101,f238,f427]) ).
fof(f431,definition,
( sQ74_spl
<=> ndr1_1(a453) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f432,plain,
( ~ sQ74_spl
| ndr1_1(a453) ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,plain,
( sQ74_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f102,f238,f431]) ).
fof(f435,definition,
( sQ75_spl
<=> c5_2(a453,a454) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f436,plain,
( ~ sQ75_spl
| c5_2(a453,a454) ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f438,plain,
( sQ75_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f103,f238,f435]) ).
fof(f439,definition,
( sQ76_spl
<=> c1_2(a453,a454) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f441,plain,
( sQ76_spl
| ~ c1_2(a453,a454) ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f442,plain,
( ~ sQ76_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f104,f238,f439]) ).
fof(f443,definition,
( sQ77_spl
<=> c3_2(a453,a454) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f445,plain,
( sQ77_spl
| ~ c3_2(a453,a454) ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f446,plain,
( ~ sQ77_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f105,f238,f443]) ).
fof(f447,plain,
( sQ77_spl
| sQ76_spl
| ~ sQ75_spl
| ~ sQ74_spl
| sQ73_spl
| ~ sQ1_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f106,f238,f133,f427,f431,f435,f439,f443]) ).
fof(f448,plain,
( sQ1_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f108,f279,f133]) ).
fof(f449,definition,
( sQ78_spl
<=> c1_1(a458) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f450,plain,
( ~ sQ78_spl
| c1_1(a458) ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f452,plain,
( sQ78_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f109,f279,f449]) ).
fof(f453,definition,
( sQ79_spl
<=> c5_1(a458) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f455,plain,
( sQ79_spl
| ~ c5_1(a458) ),
inference(component_clause,[status(thm)],[f453]) ).
fof(f456,plain,
( ~ sQ79_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f110,f279,f453]) ).
fof(f457,definition,
( sQ80_spl
<=> ndr1_1(a458) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f458,plain,
( ~ sQ80_spl
| ndr1_1(a458) ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f459,plain,
( sQ80_spl
| ~ ndr1_1(a458) ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f460,plain,
( sQ80_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f111,f279,f457]) ).
fof(f461,definition,
( sQ81_spl
<=> c5_2(a458,a459) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f462,plain,
( ~ sQ81_spl
| c5_2(a458,a459) ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f464,plain,
( sQ81_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f112,f279,f461]) ).
fof(f465,definition,
( sQ82_spl
<=> c1_2(a458,a459) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( ~ sQ82_spl
| c1_2(a458,a459) ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f467,plain,
( sQ82_spl
| ~ c1_2(a458,a459) ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f468,plain,
( ~ sQ82_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f113,f279,f465]) ).
fof(f469,definition,
( sQ83_spl
<=> c3_2(a458,a459) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f470,plain,
( ~ sQ83_spl
| c3_2(a458,a459) ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f471,plain,
( sQ83_spl
| ~ c3_2(a458,a459) ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f472,plain,
( ~ sQ83_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f114,f279,f469]) ).
fof(f473,plain,
( sQ83_spl
| sQ82_spl
| ~ sQ81_spl
| ~ sQ80_spl
| sQ79_spl
| ~ sQ78_spl
| ~ sQ1_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f115,f279,f133,f449,f453,f457,f461,f465,f469]) ).
fof(f474,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| c4_2(X0,X2)
| c1_2(X0,X2)
| ~ c3_2(X0,X2)
| c3_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f147]) ).
fof(f475,plain,
! [X0] :
( ~ sQ4_spl
| ~ c2_1(X0)
| ndr1_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f144,f82]) ).
fof(f476,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ4_spl
| c3_1(X0)
| ndr1_1(X0) ),
inference(resolution,[status(thm)],[f475,f276]) ).
fof(f477,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ sQ37_spl
| ~ c2_2(X0,X1)
| c5_2(X0,X1)
| ~ ndr1_1(X0)
| c2_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f137,f276]) ).
fof(f478,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ58_spl
| c5_2(a445,X0)
| c2_2(a445,X0)
| c4_2(a445,X0)
| ~ c4_1(a445)
| ~ c1_1(a445) ),
inference(resolution,[status(thm)],[f363,f171]) ).
fof(f479,plain,
! [X0,X1] :
( ~ sQ37_spl
| ~ sQ4_spl
| ~ sQ58_spl
| c3_1(X0)
| c5_2(X0,X1)
| c2_2(X0,X1)
| c4_2(X0,X1)
| ~ c4_1(X0)
| ~ c1_1(X0) ),
inference(resolution,[status(thm)],[f363,f476]) ).
fof(f480,definition,
( sQ84_spl
<=> c1_1(a445) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f481,plain,
( ~ sQ84_spl
| c1_1(a445) ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f482,plain,
( sQ84_spl
| ~ c1_1(a445) ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,definition,
( sQ85_spl
<=> c4_1(a445) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f485,plain,
( sQ85_spl
| ~ c4_1(a445) ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f486,definition,
! [X0] :
( sQ86_spl
<=> ( c5_2(a445,X0)
| c2_2(a445,X0)
| c4_2(a445,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f487,plain,
! [X0] :
( ~ sQ86_spl
| c5_2(a445,X0)
| c2_2(a445,X0)
| c4_2(a445,X0) ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f489,plain,
( ~ sQ11_spl
| ~ sQ58_spl
| sQ86_spl
| ~ sQ85_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f478,f480,f483,f486,f362,f170]) ).
fof(f497,definition,
( sQ89_spl
<=> sP4_prd(a445) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f498,plain,
( ~ sQ89_spl
| sP4_prd(a445) ),
inference(component_clause,[status(thm)],[f497]) ).
fof(f504,plain,
! [X0,X1] :
( ~ sQ62_spl
| ~ sQ37_spl
| ~ sQ4_spl
| ~ sQ58_spl
| sP5_prd(X0)
| sP4_prd(X0)
| c3_1(X0)
| c5_2(X0,X1)
| c2_2(X0,X1)
| c4_2(X0,X1)
| ~ c4_1(X0) ),
inference(resolution,[status(thm)],[f479,f381]) ).
fof(f505,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ37_spl
| ~ sQ4_spl
| ~ sQ58_spl
| ~ sQ59_spl
| sP5_prd(a467)
| sP4_prd(a467)
| c3_1(a467)
| c5_2(a467,X0)
| c2_2(a467,X0)
| c4_2(a467,X0) ),
inference(resolution,[status(thm)],[f369,f504]) ).
fof(f506,definition,
! [X0] :
( sQ91_spl
<=> ( c5_2(a467,X0)
| c2_2(a467,X0)
| c4_2(a467,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f507,plain,
! [X0] :
( ~ sQ91_spl
| c5_2(a467,X0)
| c2_2(a467,X0)
| c4_2(a467,X0) ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f509,definition,
( sQ92_spl
<=> sP4_prd(a467) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f510,plain,
( ~ sQ92_spl
| sP4_prd(a467) ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f512,definition,
( sQ93_spl
<=> sP5_prd(a467) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f513,plain,
( ~ sQ93_spl
| sP5_prd(a467) ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,plain,
( ~ sQ62_spl
| ~ sQ37_spl
| ~ sQ4_spl
| ~ sQ58_spl
| ~ sQ59_spl
| sQ93_spl
| sQ92_spl
| sQ60_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f505,f506,f372,f509,f512,f368,f362,f143,f275,f380]) ).
fof(f530,plain,
( ~ sQ37_spl
| sQ52_spl
| c3_1(a464) ),
inference(resolution,[status(thm)],[f339,f276]) ).
fof(f531,plain,
( ~ sQ37_spl
| ~ sQ4_spl
| sQ41_spl
| c3_1(a460) ),
inference(resolution,[status(thm)],[f293,f476]) ).
fof(f532,plain,
( ~ sQ62_spl
| sQ40_spl
| sP5_prd(a460)
| sP4_prd(a460) ),
inference(resolution,[status(thm)],[f289,f381]) ).
fof(f533,definition,
( sQ98_spl
<=> sP4_prd(a460) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f534,plain,
( ~ sQ98_spl
| sP4_prd(a460) ),
inference(component_clause,[status(thm)],[f533]) ).
fof(f535,plain,
( sQ98_spl
| ~ sP4_prd(a460) ),
inference(component_clause,[status(thm)],[f533]) ).
fof(f536,definition,
( sQ99_spl
<=> sP5_prd(a460) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f537,plain,
( ~ sQ99_spl
| sP5_prd(a460) ),
inference(component_clause,[status(thm)],[f536]) ).
fof(f538,plain,
( sQ99_spl
| ~ sP5_prd(a460) ),
inference(component_clause,[status(thm)],[f536]) ).
fof(f539,plain,
( ~ sQ62_spl
| sQ40_spl
| sQ99_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f532,f533,f536,f287,f380]) ).
fof(f549,definition,
( sQ102_spl
<=> sP5_prd(a445) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f550,plain,
( ~ sQ102_spl
| sP5_prd(a445) ),
inference(component_clause,[status(thm)],[f549]) ).
fof(f559,plain,
( sQ52_spl
| ~ sQ27_spl
| ~ sQ37_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f339,f561]) ).
fof(f560,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ27_spl
| ~ sQ37_spl
| ndr1_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f475,f561]) ).
fof(f561,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ37_spl
| c2_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f235,f276]) ).
fof(f562,plain,
( sQ52_spl
| ~ sQ27_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f559]) ).
fof(f563,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ58_spl
| c5_2(a461,X0)
| c2_2(a461,X0)
| c4_2(a461,X0)
| ~ c4_1(a461)
| ~ c1_1(a461) ),
inference(resolution,[status(thm)],[f363,f300]) ).
fof(f564,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ58_spl
| c5_2(a465,X0)
| c2_2(a465,X0)
| c4_2(a465,X0)
| ~ c4_1(a465)
| ~ c1_1(a465) ),
inference(resolution,[status(thm)],[f363,f343]) ).
fof(f566,definition,
( sQ105_spl
<=> c4_1(a461) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f568,plain,
( sQ105_spl
| ~ c4_1(a461) ),
inference(component_clause,[status(thm)],[f566]) ).
fof(f569,definition,
! [X0] :
( sQ106_spl
<=> ( c5_2(a461,X0)
| c2_2(a461,X0)
| c4_2(a461,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f570,plain,
! [X0] :
( ~ sQ106_spl
| c5_2(a461,X0)
| c2_2(a461,X0)
| c4_2(a461,X0) ),
inference(component_clause,[status(thm)],[f569]) ).
fof(f572,plain,
( ~ sQ43_spl
| ~ sQ58_spl
| sQ106_spl
| ~ sQ105_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f563,f315,f566,f569,f362,f299]) ).
fof(f573,definition,
( sQ107_spl
<=> c1_1(a465) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f574,plain,
( ~ sQ107_spl
| c1_1(a465) ),
inference(component_clause,[status(thm)],[f573]) ).
fof(f575,plain,
( sQ107_spl
| ~ c1_1(a465) ),
inference(component_clause,[status(thm)],[f573]) ).
fof(f576,definition,
( sQ108_spl
<=> c4_1(a465) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f578,plain,
( sQ108_spl
| ~ c4_1(a465) ),
inference(component_clause,[status(thm)],[f576]) ).
fof(f579,definition,
! [X0] :
( sQ109_spl
<=> ( c5_2(a465,X0)
| c2_2(a465,X0)
| c4_2(a465,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f580,plain,
! [X0] :
( ~ sQ109_spl
| c5_2(a465,X0)
| c2_2(a465,X0)
| c4_2(a465,X0) ),
inference(component_clause,[status(thm)],[f579]) ).
fof(f582,plain,
( ~ sQ53_spl
| ~ sQ58_spl
| sQ109_spl
| ~ sQ108_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f564,f573,f576,f579,f362,f342]) ).
fof(f592,definition,
( sQ112_spl
<=> sP5_prd(a465) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f593,plain,
( ~ sQ112_spl
| sP5_prd(a465) ),
inference(component_clause,[status(thm)],[f592]) ).
fof(f602,definition,
( sQ115_spl
<=> sP4_prd(a465) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f603,plain,
( ~ sQ115_spl
| sP4_prd(a465) ),
inference(component_clause,[status(thm)],[f602]) ).
fof(f634,plain,
( ~ sQ62_spl
| sQ33_spl
| sP5_prd(a455)
| sP4_prd(a455) ),
inference(resolution,[status(thm)],[f260,f381]) ).
fof(f635,definition,
( sQ124_spl
<=> sP4_prd(a455) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f636,plain,
( ~ sQ124_spl
| sP4_prd(a455) ),
inference(component_clause,[status(thm)],[f635]) ).
fof(f638,definition,
( sQ125_spl
<=> sP5_prd(a455) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f639,plain,
( ~ sQ125_spl
| sP5_prd(a455) ),
inference(component_clause,[status(thm)],[f638]) ).
fof(f641,plain,
( ~ sQ62_spl
| sQ33_spl
| sQ125_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f634,f635,f638,f258,f380]) ).
fof(f642,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ29_spl
| c5_2(a455,X0)
| c2_2(a455,X0)
| c4_2(a455,X0)
| ~ c4_1(a455)
| ~ c1_1(a455) ),
inference(resolution,[status(thm)],[f243,f363]) ).
fof(f643,definition,
( sQ126_spl
<=> c4_1(a455) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f645,plain,
( sQ126_spl
| ~ c4_1(a455) ),
inference(component_clause,[status(thm)],[f643]) ).
fof(f646,definition,
! [X0] :
( sQ127_spl
<=> ( c5_2(a455,X0)
| c2_2(a455,X0)
| c4_2(a455,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f647,plain,
! [X0] :
( ~ sQ127_spl
| c5_2(a455,X0)
| c2_2(a455,X0)
| c4_2(a455,X0) ),
inference(component_clause,[status(thm)],[f646]) ).
fof(f649,plain,
( ~ sQ58_spl
| ~ sQ29_spl
| sQ127_spl
| ~ sQ126_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f642,f258,f643,f646,f242,f362]) ).
fof(f669,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ22_spl
| c5_2(a451,X0)
| c2_2(a451,X0)
| c4_2(a451,X0)
| ~ c4_1(a451)
| ~ c1_1(a451) ),
inference(resolution,[status(thm)],[f215,f363]) ).
fof(f670,definition,
( sQ133_spl
<=> c1_1(a451) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f671,plain,
( ~ sQ133_spl
| c1_1(a451) ),
inference(component_clause,[status(thm)],[f670]) ).
fof(f672,plain,
( sQ133_spl
| ~ c1_1(a451) ),
inference(component_clause,[status(thm)],[f670]) ).
fof(f673,definition,
! [X0] :
( sQ134_spl
<=> ( c5_2(a451,X0)
| c2_2(a451,X0)
| c4_2(a451,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f674,plain,
! [X0] :
( ~ sQ134_spl
| c5_2(a451,X0)
| c2_2(a451,X0)
| c4_2(a451,X0) ),
inference(component_clause,[status(thm)],[f673]) ).
fof(f676,plain,
( ~ sQ58_spl
| ~ sQ22_spl
| sQ134_spl
| ~ sQ25_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f669,f670,f226,f673,f214,f362]) ).
fof(f685,definition,
( sQ137_spl
<=> sP5_prd(a451) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f686,plain,
( ~ sQ137_spl
| sP5_prd(a451) ),
inference(component_clause,[status(thm)],[f685]) ).
fof(f695,definition,
( sQ140_spl
<=> sP4_prd(a451) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f696,plain,
( ~ sQ140_spl
| sP4_prd(a451) ),
inference(component_clause,[status(thm)],[f695]) ).
fof(f702,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ17_spl
| c5_2(a449,X0)
| c2_2(a449,X0)
| c4_2(a449,X0)
| ~ c4_1(a449)
| ~ c1_1(a449) ),
inference(resolution,[status(thm)],[f195,f363]) ).
fof(f703,definition,
( sQ142_spl
<=> c4_1(a449) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f705,plain,
( sQ142_spl
| ~ c4_1(a449) ),
inference(component_clause,[status(thm)],[f703]) ).
fof(f706,definition,
! [X0] :
( sQ143_spl
<=> ( c5_2(a449,X0)
| c2_2(a449,X0)
| c4_2(a449,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f707,plain,
! [X0] :
( ~ sQ143_spl
| c5_2(a449,X0)
| c2_2(a449,X0)
| c4_2(a449,X0) ),
inference(component_clause,[status(thm)],[f706]) ).
fof(f709,plain,
( ~ sQ58_spl
| ~ sQ17_spl
| sQ143_spl
| ~ sQ142_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f702,f186,f703,f706,f194,f362]) ).
fof(f718,definition,
( sQ146_spl
<=> sP5_prd(a449) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f719,plain,
( ~ sQ146_spl
| sP5_prd(a449) ),
inference(component_clause,[status(thm)],[f718]) ).
fof(f728,definition,
( sQ149_spl
<=> sP4_prd(a449) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f729,plain,
( ~ sQ149_spl
| sP4_prd(a449) ),
inference(component_clause,[status(thm)],[f728]) ).
fof(f735,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ74_spl
| c5_2(a453,X0)
| c2_2(a453,X0)
| c4_2(a453,X0)
| ~ c4_1(a453)
| ~ c1_1(a453) ),
inference(resolution,[status(thm)],[f432,f363]) ).
fof(f736,definition,
( sQ151_spl
<=> c1_1(a453) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f737,plain,
( ~ sQ151_spl
| c1_1(a453) ),
inference(component_clause,[status(thm)],[f736]) ).
fof(f738,plain,
( sQ151_spl
| ~ c1_1(a453) ),
inference(component_clause,[status(thm)],[f736]) ).
fof(f739,definition,
! [X0] :
( sQ152_spl
<=> ( c5_2(a453,X0)
| c2_2(a453,X0)
| c4_2(a453,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f740,plain,
! [X0] :
( ~ sQ152_spl
| c5_2(a453,X0)
| c2_2(a453,X0)
| c4_2(a453,X0) ),
inference(component_clause,[status(thm)],[f739]) ).
fof(f742,plain,
( ~ sQ58_spl
| ~ sQ74_spl
| sQ152_spl
| ~ sQ73_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f735,f736,f427,f739,f431,f362]) ).
fof(f751,definition,
( sQ155_spl
<=> sP5_prd(a453) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f752,plain,
( ~ sQ155_spl
| sP5_prd(a453) ),
inference(component_clause,[status(thm)],[f751]) ).
fof(f761,definition,
( sQ158_spl
<=> sP4_prd(a453) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f762,plain,
( ~ sQ158_spl
| sP4_prd(a453) ),
inference(component_clause,[status(thm)],[f761]) ).
fof(f768,plain,
( ~ sQ62_spl
| sQ84_spl
| sP5_prd(a445)
| sP4_prd(a445) ),
inference(resolution,[status(thm)],[f482,f381]) ).
fof(f769,plain,
( ~ sQ62_spl
| sQ84_spl
| sQ102_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f768,f497,f549,f480,f380]) ).
fof(f770,plain,
( ~ sQ93_spl
| c2_2(a467,a469) ),
inference(resolution,[status(thm)],[f513,f128]) ).
fof(f771,plain,
( ~ sQ93_spl
| c4_2(a467,a469) ),
inference(resolution,[status(thm)],[f513,f127]) ).
fof(f772,plain,
( ~ sQ93_spl
| c5_2(a467,a469) ),
inference(resolution,[status(thm)],[f513,f126]) ).
fof(f773,plain,
( ~ sQ93_spl
| ndr1_1(a467) ),
inference(resolution,[status(thm)],[f513,f125]) ).
fof(f774,plain,
( ~ sQ92_spl
| c5_2(a467,a468) ),
inference(resolution,[status(thm)],[f510,f121]) ).
fof(f775,plain,
( ~ sQ92_spl
| c2_2(a467,a468) ),
inference(resolution,[status(thm)],[f510,f119]) ).
fof(f776,plain,
( ~ sQ92_spl
| ndr1_1(a467) ),
inference(resolution,[status(thm)],[f510,f118]) ).
fof(f777,plain,
( ~ sQ66_spl
| ~ sQ71_spl
| c1_2(a447,sK0_skl)
| c3_2(a447,sK0_skl) ),
inference(resolution,[status(thm)],[f419,f397]) ).
fof(f778,plain,
( ~ sQ66_spl
| ~ sQ71_spl
| sQ72_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f777,f414,f422,f418,f396]) ).
fof(f779,plain,
( ~ sQ109_spl
| sQ54_spl
| c2_2(a465,a466)
| c4_2(a465,a466) ),
inference(resolution,[status(thm)],[f348,f580]) ).
fof(f780,definition,
( sQ160_spl
<=> c2_2(a465,a466) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f781,plain,
( ~ sQ160_spl
| c2_2(a465,a466) ),
inference(component_clause,[status(thm)],[f780]) ).
fof(f783,plain,
( ~ sQ109_spl
| sQ54_spl
| sQ160_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f779,f354,f780,f346,f579]) ).
fof(f784,plain,
( ~ sQ2_spl
| ~ sQ48_spl
| ~ c3_1(a461)
| c5_2(a461,a463)
| ~ ndr1_1(a461)
| c2_1(a461) ),
inference(resolution,[status(thm)],[f321,f137]) ).
fof(f785,definition,
( sQ161_spl
<=> c2_1(a461) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f786,plain,
( ~ sQ161_spl
| c2_1(a461) ),
inference(component_clause,[status(thm)],[f785]) ).
fof(f788,definition,
( sQ162_spl
<=> c5_2(a461,a463) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f789,plain,
( ~ sQ162_spl
| c5_2(a461,a463) ),
inference(component_clause,[status(thm)],[f788]) ).
fof(f791,definition,
( sQ163_spl
<=> c3_1(a461) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f793,plain,
( sQ163_spl
| ~ c3_1(a461) ),
inference(component_clause,[status(thm)],[f791]) ).
fof(f794,plain,
( ~ sQ2_spl
| ~ sQ48_spl
| ~ sQ163_spl
| sQ162_spl
| ~ sQ43_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f784,f785,f299,f788,f791,f320,f136]) ).
fof(f795,plain,
( ~ sQ106_spl
| sQ45_spl
| c2_2(a461,a462)
| c4_2(a461,a462) ),
inference(resolution,[status(thm)],[f309,f570]) ).
fof(f796,definition,
( sQ164_spl
<=> c2_2(a461,a462) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f797,plain,
( ~ sQ164_spl
| c2_2(a461,a462) ),
inference(component_clause,[status(thm)],[f796]) ).
fof(f799,plain,
( ~ sQ106_spl
| sQ45_spl
| sQ164_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f795,f311,f796,f307,f569]) ).
fof(f800,plain,
( ~ sQ99_spl
| c2_2(a460,a469) ),
inference(resolution,[status(thm)],[f537,f128]) ).
fof(f801,plain,
( ~ sQ99_spl
| c4_2(a460,a469) ),
inference(resolution,[status(thm)],[f537,f127]) ).
fof(f802,plain,
( ~ sQ99_spl
| c5_2(a460,a469) ),
inference(resolution,[status(thm)],[f537,f126]) ).
fof(f803,plain,
( ~ sQ99_spl
| ndr1_1(a460) ),
inference(resolution,[status(thm)],[f537,f125]) ).
fof(f804,plain,
( ~ sQ99_spl
| sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f803,f293]) ).
fof(f805,plain,
( ~ sQ99_spl
| sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f804]) ).
fof(f806,plain,
( ~ sQ98_spl
| c5_2(a460,a468) ),
inference(resolution,[status(thm)],[f534,f121]) ).
fof(f807,plain,
( ~ sQ98_spl
| c2_2(a460,a468) ),
inference(resolution,[status(thm)],[f534,f119]) ).
fof(f808,plain,
( ~ sQ98_spl
| ndr1_1(a460) ),
inference(resolution,[status(thm)],[f534,f118]) ).
fof(f809,plain,
( ~ sQ42_spl
| c1_2(a460,a443)
| ~ ndr1_1(a460)
| sP0_prd(a460) ),
inference(resolution,[status(thm)],[f295,f85]) ).
fof(f810,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ42_spl
| c4_2(a460,X1)
| c1_2(a460,X1)
| c3_2(a460,X0)
| ~ c5_2(a460,X0)
| ~ ndr1_1(a460) ),
inference(resolution,[status(thm)],[f295,f474]) ).
fof(f811,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ42_spl
| c4_2(a460,X0)
| c5_2(a460,X0)
| ~ ndr1_1(a460)
| ~ c1_1(a460) ),
inference(resolution,[status(thm)],[f295,f162]) ).
fof(f812,definition,
( sQ165_spl
<=> sP0_prd(a460) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f813,plain,
( ~ sQ165_spl
| sP0_prd(a460) ),
inference(component_clause,[status(thm)],[f812]) ).
fof(f814,plain,
( sQ165_spl
| ~ sP0_prd(a460) ),
inference(component_clause,[status(thm)],[f812]) ).
fof(f815,definition,
( sQ166_spl
<=> c1_2(a460,a443) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f816,plain,
( ~ sQ166_spl
| c1_2(a460,a443) ),
inference(component_clause,[status(thm)],[f815]) ).
fof(f818,plain,
( ~ sQ42_spl
| sQ166_spl
| ~ sQ41_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f809,f812,f291,f815,f294]) ).
fof(f819,definition,
! [X0] :
( sQ167_spl
<=> ( c3_2(a460,X0)
| ~ c5_2(a460,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f820,plain,
! [X0] :
( ~ sQ167_spl
| c3_2(a460,X0)
| ~ c5_2(a460,X0) ),
inference(component_clause,[status(thm)],[f819]) ).
fof(f822,definition,
! [X1] :
( sQ168_spl
<=> ( c4_2(a460,X1)
| c1_2(a460,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f823,plain,
! [X0] :
( ~ sQ168_spl
| c4_2(a460,X0)
| c1_2(a460,X0) ),
inference(component_clause,[status(thm)],[f822]) ).
fof(f825,plain,
( ~ sQ5_spl
| ~ sQ42_spl
| sQ168_spl
| sQ167_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f810,f291,f819,f822,f294,f146]) ).
fof(f826,definition,
! [X0] :
( sQ169_spl
<=> ( c4_2(a460,X0)
| c5_2(a460,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f827,plain,
! [X0] :
( ~ sQ169_spl
| c4_2(a460,X0)
| c5_2(a460,X0) ),
inference(component_clause,[status(thm)],[f826]) ).
fof(f829,plain,
( ~ sQ9_spl
| ~ sQ42_spl
| sQ169_spl
| ~ sQ41_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f811,f287,f291,f826,f294,f161]) ).
fof(f830,plain,
( ~ sQ62_spl
| sQ107_spl
| sP5_prd(a465)
| sP4_prd(a465) ),
inference(resolution,[status(thm)],[f575,f381]) ).
fof(f831,plain,
( ~ sQ62_spl
| sQ107_spl
| sQ112_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f830,f602,f592,f573,f380]) ).
fof(f832,plain,
( ~ sQ2_spl
| ~ sQ35_spl
| ~ c3_1(a455)
| c5_2(a455,a457)
| ~ ndr1_1(a455)
| c2_1(a455) ),
inference(resolution,[status(thm)],[f268,f137]) ).
fof(f833,definition,
( sQ170_spl
<=> c2_1(a455) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f834,plain,
( ~ sQ170_spl
| c2_1(a455) ),
inference(component_clause,[status(thm)],[f833]) ).
fof(f835,plain,
( sQ170_spl
| ~ c2_1(a455) ),
inference(component_clause,[status(thm)],[f833]) ).
fof(f836,definition,
( sQ171_spl
<=> c5_2(a455,a457) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f837,plain,
( ~ sQ171_spl
| c5_2(a455,a457) ),
inference(component_clause,[status(thm)],[f836]) ).
fof(f839,definition,
( sQ172_spl
<=> c3_1(a455) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f841,plain,
( sQ172_spl
| ~ c3_1(a455) ),
inference(component_clause,[status(thm)],[f839]) ).
fof(f842,plain,
( ~ sQ2_spl
| ~ sQ35_spl
| ~ sQ172_spl
| sQ171_spl
| ~ sQ29_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f832,f833,f242,f836,f839,f267,f136]) ).
fof(f843,plain,
( ~ sQ125_spl
| c2_2(a455,a469) ),
inference(resolution,[status(thm)],[f639,f128]) ).
fof(f844,plain,
( ~ sQ125_spl
| c4_2(a455,a469) ),
inference(resolution,[status(thm)],[f639,f127]) ).
fof(f845,plain,
( ~ sQ125_spl
| c5_2(a455,a469) ),
inference(resolution,[status(thm)],[f639,f126]) ).
fof(f846,plain,
( ~ sQ125_spl
| ndr1_1(a455) ),
inference(resolution,[status(thm)],[f639,f125]) ).
fof(f847,plain,
( ~ sQ125_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f846,f242,f638]) ).
fof(f848,plain,
( ~ sQ124_spl
| c5_2(a455,a468) ),
inference(resolution,[status(thm)],[f636,f121]) ).
fof(f849,plain,
( ~ sQ124_spl
| c2_2(a455,a468) ),
inference(resolution,[status(thm)],[f636,f119]) ).
fof(f850,plain,
( ~ sQ124_spl
| ndr1_1(a455) ),
inference(resolution,[status(thm)],[f636,f118]) ).
fof(f853,plain,
( ~ sQ62_spl
| sQ133_spl
| sP5_prd(a451)
| sP4_prd(a451) ),
inference(resolution,[status(thm)],[f672,f381]) ).
fof(f854,plain,
( ~ sQ62_spl
| sQ133_spl
| sQ137_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f853,f695,f685,f670,f380]) ).
fof(f855,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ31_spl
| c4_2(a455,a456)
| c1_2(a455,a456)
| c3_2(a455,X0)
| ~ c5_2(a455,X0)
| ~ ndr1_1(a455) ),
inference(resolution,[status(thm)],[f251,f474]) ).
fof(f856,plain,
( ~ sQ9_spl
| ~ sQ31_spl
| c4_2(a455,a456)
| c5_2(a455,a456)
| ~ ndr1_1(a455)
| ~ c1_1(a455) ),
inference(resolution,[status(thm)],[f251,f162]) ).
fof(f857,definition,
! [X0] :
( sQ173_spl
<=> ( c3_2(a455,X0)
| ~ c5_2(a455,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f858,plain,
! [X0] :
( ~ sQ173_spl
| c3_2(a455,X0)
| ~ c5_2(a455,X0) ),
inference(component_clause,[status(thm)],[f857]) ).
fof(f860,definition,
( sQ174_spl
<=> c1_2(a455,a456) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f861,plain,
( ~ sQ174_spl
| c1_2(a455,a456) ),
inference(component_clause,[status(thm)],[f860]) ).
fof(f863,plain,
( ~ sQ5_spl
| ~ sQ31_spl
| sQ32_spl
| sQ174_spl
| sQ173_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f855,f242,f857,f860,f254,f250,f146]) ).
fof(f864,definition,
( sQ175_spl
<=> c5_2(a455,a456) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f865,plain,
( ~ sQ175_spl
| c5_2(a455,a456) ),
inference(component_clause,[status(thm)],[f864]) ).
fof(f867,plain,
( ~ sQ9_spl
| ~ sQ31_spl
| sQ32_spl
| sQ175_spl
| ~ sQ29_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f856,f258,f242,f864,f254,f250,f161]) ).
fof(f869,plain,
( ~ sQ169_spl
| c1_2(a460,a468)
| ~ c2_2(a460,a468)
| ~ ndr1_1(a460)
| sP4_prd(a460)
| c4_2(a460,a468) ),
inference(resolution,[status(thm)],[f827,f122]) ).
fof(f877,definition,
( sQ178_spl
<=> c4_2(a460,a468) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f878,plain,
( ~ sQ178_spl
| c4_2(a460,a468) ),
inference(component_clause,[status(thm)],[f877]) ).
fof(f880,definition,
( sQ179_spl
<=> c2_2(a460,a468) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f882,plain,
( sQ179_spl
| ~ c2_2(a460,a468) ),
inference(component_clause,[status(thm)],[f880]) ).
fof(f883,definition,
( sQ180_spl
<=> c1_2(a460,a468) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f884,plain,
( ~ sQ180_spl
| c1_2(a460,a468) ),
inference(component_clause,[status(thm)],[f883]) ).
fof(f886,plain,
( ~ sQ169_spl
| sQ180_spl
| ~ sQ179_spl
| ~ sQ41_spl
| sQ98_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f869,f877,f533,f291,f880,f883,f826]) ).
fof(f887,plain,
( ~ sQ168_spl
| ~ sP4_prd(a460)
| c4_2(a460,a468) ),
inference(resolution,[status(thm)],[f823,f120]) ).
fof(f888,plain,
( ~ sQ168_spl
| ~ sP0_prd(a460)
| c4_2(a460,a443) ),
inference(resolution,[status(thm)],[f823,f83]) ).
fof(f889,plain,
( ~ sQ168_spl
| ~ sQ98_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f887,f877,f533,f822]) ).
fof(f890,definition,
( sQ181_spl
<=> c4_2(a460,a443) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f891,plain,
( ~ sQ181_spl
| c4_2(a460,a443) ),
inference(component_clause,[status(thm)],[f890]) ).
fof(f893,plain,
( ~ sQ168_spl
| ~ sQ165_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f888,f890,f812,f822]) ).
fof(f894,plain,
( ~ sQ62_spl
| sQ151_spl
| sP5_prd(a453)
| sP4_prd(a453) ),
inference(resolution,[status(thm)],[f738,f381]) ).
fof(f895,plain,
( ~ sQ62_spl
| sQ151_spl
| sQ155_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f894,f761,f751,f736,f380]) ).
fof(f896,plain,
( ~ sQ102_spl
| c2_2(a445,a469) ),
inference(resolution,[status(thm)],[f550,f128]) ).
fof(f897,plain,
( ~ sQ102_spl
| c4_2(a445,a469) ),
inference(resolution,[status(thm)],[f550,f127]) ).
fof(f898,plain,
( ~ sQ102_spl
| c5_2(a445,a469) ),
inference(resolution,[status(thm)],[f550,f126]) ).
fof(f899,plain,
( ~ sQ102_spl
| ndr1_1(a445) ),
inference(resolution,[status(thm)],[f550,f125]) ).
fof(f900,plain,
( ~ sQ89_spl
| c5_2(a445,a468) ),
inference(resolution,[status(thm)],[f498,f121]) ).
fof(f901,plain,
( ~ sQ89_spl
| c2_2(a445,a468) ),
inference(resolution,[status(thm)],[f498,f119]) ).
fof(f902,plain,
( ~ sQ89_spl
| ndr1_1(a445) ),
inference(resolution,[status(thm)],[f498,f118]) ).
fof(f903,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ93_spl
| c5_2(a467,X0)
| c2_2(a467,X0)
| c4_2(a467,X0)
| ~ c4_1(a467)
| ~ c1_1(a467) ),
inference(resolution,[status(thm)],[f773,f363]) ).
fof(f904,definition,
( sQ182_spl
<=> c1_1(a467) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f905,plain,
( ~ sQ182_spl
| c1_1(a467) ),
inference(component_clause,[status(thm)],[f904]) ).
fof(f906,plain,
( sQ182_spl
| ~ c1_1(a467) ),
inference(component_clause,[status(thm)],[f904]) ).
fof(f907,plain,
( ~ sQ58_spl
| ~ sQ93_spl
| sQ91_spl
| ~ sQ59_spl
| ~ sQ182_spl ),
inference(split_clause,[status(thm)],[f903,f904,f368,f506,f512,f362]) ).
fof(f908,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ24_spl
| c4_2(a451,a452)
| c1_2(a451,a452)
| c3_2(a451,X0)
| ~ c5_2(a451,X0)
| ~ ndr1_1(a451) ),
inference(resolution,[status(thm)],[f223,f474]) ).
fof(f909,definition,
! [X0] :
( sQ183_spl
<=> ( c3_2(a451,X0)
| ~ c5_2(a451,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f910,plain,
! [X0] :
( ~ sQ183_spl
| c3_2(a451,X0)
| ~ c5_2(a451,X0) ),
inference(component_clause,[status(thm)],[f909]) ).
fof(f912,definition,
( sQ184_spl
<=> c1_2(a451,a452) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f913,plain,
( ~ sQ184_spl
| c1_2(a451,a452) ),
inference(component_clause,[status(thm)],[f912]) ).
fof(f915,definition,
( sQ185_spl
<=> c4_2(a451,a452) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f916,plain,
( ~ sQ185_spl
| c4_2(a451,a452) ),
inference(component_clause,[status(thm)],[f915]) ).
fof(f918,plain,
( ~ sQ5_spl
| ~ sQ24_spl
| sQ185_spl
| sQ184_spl
| sQ183_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f908,f214,f909,f912,f915,f222,f146]) ).
fof(f919,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ99_spl
| c5_2(a460,X0)
| c2_2(a460,X0)
| c4_2(a460,X0)
| ~ c4_1(a460)
| ~ c1_1(a460) ),
inference(resolution,[status(thm)],[f803,f363]) ).
fof(f920,definition,
( sQ186_spl
<=> c4_1(a460) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f922,plain,
( sQ186_spl
| ~ c4_1(a460) ),
inference(component_clause,[status(thm)],[f920]) ).
fof(f923,definition,
! [X0] :
( sQ187_spl
<=> ( c5_2(a460,X0)
| c2_2(a460,X0)
| c4_2(a460,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f924,plain,
! [X0] :
( ~ sQ187_spl
| c5_2(a460,X0)
| c2_2(a460,X0)
| c4_2(a460,X0) ),
inference(component_clause,[status(thm)],[f923]) ).
fof(f926,plain,
( ~ sQ58_spl
| ~ sQ99_spl
| sQ187_spl
| ~ sQ186_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f919,f287,f920,f923,f536,f362]) ).
fof(f927,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ41_spl
| c5_2(a460,X0)
| c2_2(a460,X0)
| c4_2(a460,X0)
| ~ c4_1(a460)
| ~ c1_1(a460) ),
inference(resolution,[status(thm)],[f292,f363]) ).
fof(f928,plain,
( ~ sQ58_spl
| ~ sQ41_spl
| sQ187_spl
| ~ sQ186_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f927,f287,f920,f923,f291,f362]) ).
fof(f929,plain,
( ~ sQ165_spl
| c3_2(a460,a443) ),
inference(resolution,[status(thm)],[f813,f84]) ).
fof(f930,plain,
( ~ sQ165_spl
| ndr1_1(a460) ),
inference(resolution,[status(thm)],[f813,f82]) ).
fof(f933,plain,
( ~ sQ112_spl
| c2_2(a465,a469) ),
inference(resolution,[status(thm)],[f593,f128]) ).
fof(f934,plain,
( ~ sQ112_spl
| c4_2(a465,a469) ),
inference(resolution,[status(thm)],[f593,f127]) ).
fof(f935,plain,
( ~ sQ112_spl
| c5_2(a465,a469) ),
inference(resolution,[status(thm)],[f593,f126]) ).
fof(f936,plain,
( ~ sQ112_spl
| ndr1_1(a465) ),
inference(resolution,[status(thm)],[f593,f125]) ).
fof(f937,plain,
( ~ sQ115_spl
| c5_2(a465,a468) ),
inference(resolution,[status(thm)],[f603,f121]) ).
fof(f938,plain,
( ~ sQ115_spl
| c2_2(a465,a468) ),
inference(resolution,[status(thm)],[f603,f119]) ).
fof(f939,plain,
( ~ sQ115_spl
| ndr1_1(a465) ),
inference(resolution,[status(thm)],[f603,f118]) ).
fof(f942,plain,
( ~ sQ137_spl
| c2_2(a451,a469) ),
inference(resolution,[status(thm)],[f686,f128]) ).
fof(f943,plain,
( ~ sQ137_spl
| c4_2(a451,a469) ),
inference(resolution,[status(thm)],[f686,f127]) ).
fof(f944,plain,
( ~ sQ137_spl
| c5_2(a451,a469) ),
inference(resolution,[status(thm)],[f686,f126]) ).
fof(f945,plain,
( ~ sQ137_spl
| ndr1_1(a451) ),
inference(resolution,[status(thm)],[f686,f125]) ).
fof(f946,plain,
( ~ sQ137_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f945,f214,f685]) ).
fof(f947,plain,
( ~ sQ169_spl
| ~ sQ6_spl
| c4_2(a460,a444)
| ~ c2_1(a460)
| sP0_prd(a460) ),
inference(resolution,[status(thm)],[f151,f827]) ).
fof(f948,plain,
( ~ sQ152_spl
| ~ sQ6_spl
| c2_2(a453,a444)
| c4_2(a453,a444)
| ~ c2_1(a453)
| sP0_prd(a453) ),
inference(resolution,[status(thm)],[f151,f740]) ).
fof(f949,plain,
( ~ sQ143_spl
| ~ sQ6_spl
| c2_2(a449,a444)
| c4_2(a449,a444)
| ~ c2_1(a449)
| sP0_prd(a449) ),
inference(resolution,[status(thm)],[f151,f707]) ).
fof(f950,plain,
( ~ sQ134_spl
| ~ sQ6_spl
| c2_2(a451,a444)
| c4_2(a451,a444)
| ~ c2_1(a451)
| sP0_prd(a451) ),
inference(resolution,[status(thm)],[f151,f674]) ).
fof(f951,plain,
( ~ sQ127_spl
| ~ sQ6_spl
| c2_2(a455,a444)
| c4_2(a455,a444)
| ~ c2_1(a455)
| sP0_prd(a455) ),
inference(resolution,[status(thm)],[f151,f647]) ).
fof(f952,plain,
( ~ sQ106_spl
| ~ sQ6_spl
| c2_2(a461,a444)
| c4_2(a461,a444)
| ~ c2_1(a461)
| sP0_prd(a461) ),
inference(resolution,[status(thm)],[f151,f570]) ).
fof(f953,plain,
( ~ sQ109_spl
| ~ sQ6_spl
| c2_2(a465,a444)
| c4_2(a465,a444)
| ~ c2_1(a465)
| sP0_prd(a465) ),
inference(resolution,[status(thm)],[f151,f580]) ).
fof(f954,plain,
( ~ sQ91_spl
| ~ sQ6_spl
| c2_2(a467,a444)
| c4_2(a467,a444)
| ~ c2_1(a467)
| sP0_prd(a467) ),
inference(resolution,[status(thm)],[f151,f507]) ).
fof(f955,plain,
( ~ sQ86_spl
| ~ sQ6_spl
| c2_2(a445,a444)
| c4_2(a445,a444)
| ~ c2_1(a445)
| sP0_prd(a445) ),
inference(resolution,[status(thm)],[f151,f487]) ).
fof(f956,definition,
( sQ188_spl
<=> c4_2(a460,a444) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f957,plain,
( ~ sQ188_spl
| c4_2(a460,a444) ),
inference(component_clause,[status(thm)],[f956]) ).
fof(f959,plain,
( ~ sQ169_spl
| ~ sQ6_spl
| sQ188_spl
| ~ sQ39_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f947,f812,f283,f956,f150,f826]) ).
fof(f960,definition,
( sQ189_spl
<=> sP0_prd(a453) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f961,plain,
( ~ sQ189_spl
| sP0_prd(a453) ),
inference(component_clause,[status(thm)],[f960]) ).
fof(f963,definition,
( sQ190_spl
<=> c2_1(a453) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f965,plain,
( sQ190_spl
| ~ c2_1(a453) ),
inference(component_clause,[status(thm)],[f963]) ).
fof(f966,definition,
( sQ191_spl
<=> c4_2(a453,a444) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f967,plain,
( ~ sQ191_spl
| c4_2(a453,a444) ),
inference(component_clause,[status(thm)],[f966]) ).
fof(f969,definition,
( sQ192_spl
<=> c2_2(a453,a444) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f970,plain,
( ~ sQ192_spl
| c2_2(a453,a444) ),
inference(component_clause,[status(thm)],[f969]) ).
fof(f972,plain,
( ~ sQ152_spl
| ~ sQ6_spl
| sQ192_spl
| sQ191_spl
| ~ sQ190_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f948,f960,f963,f966,f969,f150,f739]) ).
fof(f973,definition,
( sQ193_spl
<=> sP0_prd(a449) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f974,plain,
( ~ sQ193_spl
| sP0_prd(a449) ),
inference(component_clause,[status(thm)],[f973]) ).
fof(f976,definition,
( sQ194_spl
<=> c4_2(a449,a444) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f977,plain,
( ~ sQ194_spl
| c4_2(a449,a444) ),
inference(component_clause,[status(thm)],[f976]) ).
fof(f979,definition,
( sQ195_spl
<=> c2_2(a449,a444) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f980,plain,
( ~ sQ195_spl
| c2_2(a449,a444) ),
inference(component_clause,[status(thm)],[f979]) ).
fof(f982,plain,
( ~ sQ143_spl
| ~ sQ6_spl
| sQ195_spl
| sQ194_spl
| ~ sQ16_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f949,f973,f190,f976,f979,f150,f706]) ).
fof(f983,definition,
( sQ196_spl
<=> sP0_prd(a451) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f984,plain,
( ~ sQ196_spl
| sP0_prd(a451) ),
inference(component_clause,[status(thm)],[f983]) ).
fof(f985,plain,
( sQ196_spl
| ~ sP0_prd(a451) ),
inference(component_clause,[status(thm)],[f983]) ).
fof(f986,definition,
( sQ197_spl
<=> c2_1(a451) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f987,plain,
( ~ sQ197_spl
| c2_1(a451) ),
inference(component_clause,[status(thm)],[f986]) ).
fof(f988,plain,
( sQ197_spl
| ~ c2_1(a451) ),
inference(component_clause,[status(thm)],[f986]) ).
fof(f989,definition,
( sQ198_spl
<=> c4_2(a451,a444) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f990,plain,
( ~ sQ198_spl
| c4_2(a451,a444) ),
inference(component_clause,[status(thm)],[f989]) ).
fof(f992,definition,
( sQ199_spl
<=> c2_2(a451,a444) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f993,plain,
( ~ sQ199_spl
| c2_2(a451,a444) ),
inference(component_clause,[status(thm)],[f992]) ).
fof(f995,plain,
( ~ sQ134_spl
| ~ sQ6_spl
| sQ199_spl
| sQ198_spl
| ~ sQ197_spl
| sQ196_spl ),
inference(split_clause,[status(thm)],[f950,f983,f986,f989,f992,f150,f673]) ).
fof(f996,definition,
( sQ200_spl
<=> sP0_prd(a455) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f997,plain,
( ~ sQ200_spl
| sP0_prd(a455) ),
inference(component_clause,[status(thm)],[f996]) ).
fof(f998,plain,
( sQ200_spl
| ~ sP0_prd(a455) ),
inference(component_clause,[status(thm)],[f996]) ).
fof(f999,definition,
( sQ201_spl
<=> c4_2(a455,a444) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1000,plain,
( ~ sQ201_spl
| c4_2(a455,a444) ),
inference(component_clause,[status(thm)],[f999]) ).
fof(f1002,definition,
( sQ202_spl
<=> c2_2(a455,a444) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1003,plain,
( ~ sQ202_spl
| c2_2(a455,a444) ),
inference(component_clause,[status(thm)],[f1002]) ).
fof(f1005,plain,
( ~ sQ127_spl
| ~ sQ6_spl
| sQ202_spl
| sQ201_spl
| ~ sQ170_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f951,f996,f833,f999,f1002,f150,f646]) ).
fof(f1006,definition,
( sQ203_spl
<=> sP0_prd(a461) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1007,plain,
( ~ sQ203_spl
| sP0_prd(a461) ),
inference(component_clause,[status(thm)],[f1006]) ).
fof(f1009,definition,
( sQ204_spl
<=> c4_2(a461,a444) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f1010,plain,
( ~ sQ204_spl
| c4_2(a461,a444) ),
inference(component_clause,[status(thm)],[f1009]) ).
fof(f1012,definition,
( sQ205_spl
<=> c2_2(a461,a444) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f1013,plain,
( ~ sQ205_spl
| c2_2(a461,a444) ),
inference(component_clause,[status(thm)],[f1012]) ).
fof(f1015,plain,
( ~ sQ106_spl
| ~ sQ6_spl
| sQ205_spl
| sQ204_spl
| ~ sQ161_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f952,f1006,f785,f1009,f1012,f150,f569]) ).
fof(f1016,definition,
( sQ206_spl
<=> sP0_prd(a465) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f1017,plain,
( ~ sQ206_spl
| sP0_prd(a465) ),
inference(component_clause,[status(thm)],[f1016]) ).
fof(f1019,definition,
( sQ207_spl
<=> c2_1(a465) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1021,plain,
( sQ207_spl
| ~ c2_1(a465) ),
inference(component_clause,[status(thm)],[f1019]) ).
fof(f1022,definition,
( sQ208_spl
<=> c4_2(a465,a444) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1023,plain,
( ~ sQ208_spl
| c4_2(a465,a444) ),
inference(component_clause,[status(thm)],[f1022]) ).
fof(f1025,definition,
( sQ209_spl
<=> c2_2(a465,a444) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f1026,plain,
( ~ sQ209_spl
| c2_2(a465,a444) ),
inference(component_clause,[status(thm)],[f1025]) ).
fof(f1028,plain,
( ~ sQ109_spl
| ~ sQ6_spl
| sQ209_spl
| sQ208_spl
| ~ sQ207_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f953,f1016,f1019,f1022,f1025,f150,f579]) ).
fof(f1029,definition,
( sQ210_spl
<=> sP0_prd(a467) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f1030,plain,
( ~ sQ210_spl
| sP0_prd(a467) ),
inference(component_clause,[status(thm)],[f1029]) ).
fof(f1032,definition,
( sQ211_spl
<=> c2_1(a467) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f1034,plain,
( sQ211_spl
| ~ c2_1(a467) ),
inference(component_clause,[status(thm)],[f1032]) ).
fof(f1035,definition,
( sQ212_spl
<=> c4_2(a467,a444) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1036,plain,
( ~ sQ212_spl
| c4_2(a467,a444) ),
inference(component_clause,[status(thm)],[f1035]) ).
fof(f1038,definition,
( sQ213_spl
<=> c2_2(a467,a444) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f1039,plain,
( ~ sQ213_spl
| c2_2(a467,a444) ),
inference(component_clause,[status(thm)],[f1038]) ).
fof(f1041,plain,
( ~ sQ91_spl
| ~ sQ6_spl
| sQ213_spl
| sQ212_spl
| ~ sQ211_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f954,f1029,f1032,f1035,f1038,f150,f506]) ).
fof(f1042,definition,
( sQ214_spl
<=> sP0_prd(a445) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f1043,plain,
( ~ sQ214_spl
| sP0_prd(a445) ),
inference(component_clause,[status(thm)],[f1042]) ).
fof(f1045,definition,
( sQ215_spl
<=> c2_1(a445) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1046,plain,
( ~ sQ215_spl
| c2_1(a445) ),
inference(component_clause,[status(thm)],[f1045]) ).
fof(f1047,plain,
( sQ215_spl
| ~ c2_1(a445) ),
inference(component_clause,[status(thm)],[f1045]) ).
fof(f1048,definition,
( sQ216_spl
<=> c4_2(a445,a444) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f1049,plain,
( ~ sQ216_spl
| c4_2(a445,a444) ),
inference(component_clause,[status(thm)],[f1048]) ).
fof(f1051,definition,
( sQ217_spl
<=> c2_2(a445,a444) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f1052,plain,
( ~ sQ217_spl
| c2_2(a445,a444) ),
inference(component_clause,[status(thm)],[f1051]) ).
fof(f1054,plain,
( ~ sQ86_spl
| ~ sQ6_spl
| sQ217_spl
| sQ216_spl
| ~ sQ215_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f955,f1042,f1045,f1048,f1051,f150,f486]) ).
fof(f1059,plain,
( ~ sQ140_spl
| c5_2(a451,a468) ),
inference(resolution,[status(thm)],[f696,f121]) ).
fof(f1060,plain,
( ~ sQ140_spl
| c2_2(a451,a468) ),
inference(resolution,[status(thm)],[f696,f119]) ).
fof(f1061,plain,
( ~ sQ140_spl
| ndr1_1(a451) ),
inference(resolution,[status(thm)],[f696,f118]) ).
fof(f1062,plain,
( ~ sQ155_spl
| c2_2(a453,a469) ),
inference(resolution,[status(thm)],[f752,f128]) ).
fof(f1063,plain,
( ~ sQ155_spl
| c4_2(a453,a469) ),
inference(resolution,[status(thm)],[f752,f127]) ).
fof(f1064,plain,
( ~ sQ155_spl
| c5_2(a453,a469) ),
inference(resolution,[status(thm)],[f752,f126]) ).
fof(f1065,plain,
( ~ sQ155_spl
| ndr1_1(a453) ),
inference(resolution,[status(thm)],[f752,f125]) ).
fof(f1066,plain,
( ~ sQ158_spl
| c5_2(a453,a468) ),
inference(resolution,[status(thm)],[f762,f121]) ).
fof(f1067,plain,
( ~ sQ158_spl
| c2_2(a453,a468) ),
inference(resolution,[status(thm)],[f762,f119]) ).
fof(f1068,plain,
( ~ sQ158_spl
| ndr1_1(a453) ),
inference(resolution,[status(thm)],[f762,f118]) ).
fof(f1069,plain,
( ~ sQ62_spl
| sQ182_spl
| sP5_prd(a467)
| sP4_prd(a467) ),
inference(resolution,[status(thm)],[f906,f381]) ).
fof(f1070,plain,
( ~ sQ62_spl
| sQ182_spl
| sQ93_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f1069,f509,f512,f904,f380]) ).
fof(f1073,plain,
( ~ sQ214_spl
| c3_2(a445,a443) ),
inference(resolution,[status(thm)],[f1043,f84]) ).
fof(f1074,plain,
( ~ sQ214_spl
| ndr1_1(a445) ),
inference(resolution,[status(thm)],[f1043,f82]) ).
fof(f1075,plain,
( ~ sQ210_spl
| c3_2(a467,a443) ),
inference(resolution,[status(thm)],[f1030,f84]) ).
fof(f1076,plain,
( ~ sQ210_spl
| ndr1_1(a467) ),
inference(resolution,[status(thm)],[f1030,f82]) ).
fof(f1077,plain,
( ~ sQ206_spl
| c3_2(a465,a443) ),
inference(resolution,[status(thm)],[f1017,f84]) ).
fof(f1078,plain,
( ~ sQ206_spl
| ndr1_1(a465) ),
inference(resolution,[status(thm)],[f1017,f82]) ).
fof(f1079,plain,
( ~ sQ203_spl
| c3_2(a461,a443) ),
inference(resolution,[status(thm)],[f1007,f84]) ).
fof(f1080,plain,
( ~ sQ203_spl
| ndr1_1(a461) ),
inference(resolution,[status(thm)],[f1007,f82]) ).
fof(f1081,plain,
( ~ sQ203_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f1080,f299,f1006]) ).
fof(f1082,plain,
( ~ sQ200_spl
| c3_2(a455,a443) ),
inference(resolution,[status(thm)],[f997,f84]) ).
fof(f1083,plain,
( ~ sQ200_spl
| ndr1_1(a455) ),
inference(resolution,[status(thm)],[f997,f82]) ).
fof(f1084,plain,
( ~ sQ196_spl
| c3_2(a451,a443) ),
inference(resolution,[status(thm)],[f984,f84]) ).
fof(f1085,plain,
( ~ sQ196_spl
| ndr1_1(a451) ),
inference(resolution,[status(thm)],[f984,f82]) ).
fof(f1086,plain,
( ~ sQ193_spl
| c3_2(a449,a443) ),
inference(resolution,[status(thm)],[f974,f84]) ).
fof(f1087,plain,
( ~ sQ193_spl
| ndr1_1(a449) ),
inference(resolution,[status(thm)],[f974,f82]) ).
fof(f1088,plain,
( ~ sQ189_spl
| c3_2(a453,a443) ),
inference(resolution,[status(thm)],[f961,f84]) ).
fof(f1089,plain,
( ~ sQ189_spl
| ndr1_1(a453) ),
inference(resolution,[status(thm)],[f961,f82]) ).
fof(f1090,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ83_spl
| c4_2(a458,a459)
| c1_2(a458,a459)
| c3_2(a458,X0)
| ~ c5_2(a458,X0)
| ~ ndr1_1(a458) ),
inference(resolution,[status(thm)],[f470,f474]) ).
fof(f1091,definition,
! [X0] :
( sQ218_spl
<=> ( c3_2(a458,X0)
| ~ c5_2(a458,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f1092,plain,
! [X0] :
( ~ sQ218_spl
| c3_2(a458,X0)
| ~ c5_2(a458,X0) ),
inference(component_clause,[status(thm)],[f1091]) ).
fof(f1094,definition,
( sQ219_spl
<=> c4_2(a458,a459) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f1095,plain,
( ~ sQ219_spl
| c4_2(a458,a459) ),
inference(component_clause,[status(thm)],[f1094]) ).
fof(f1097,plain,
( ~ sQ5_spl
| ~ sQ83_spl
| sQ219_spl
| sQ82_spl
| sQ218_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f1090,f457,f1091,f465,f1094,f469,f146]) ).
fof(f1098,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| c2_1(a451) ),
inference(resolution,[status(thm)],[f235,f231]) ).
fof(f1099,plain,
( ~ sQ50_spl
| ~ sQ27_spl
| c2_1(a464) ),
inference(resolution,[status(thm)],[f235,f330]) ).
fof(f1100,plain,
( ~ sQ10_spl
| ~ sQ27_spl
| c2_1(a445) ),
inference(resolution,[status(thm)],[f235,f167]) ).
fof(f1101,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| sQ197_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1098,f988]) ).
fof(f1102,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| sQ197_spl ),
inference(contradiction_clause,[status(thm)],[f1101]) ).
fof(f1103,plain,
( ~ sQ10_spl
| ~ sQ27_spl
| sQ215_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1100,f1047]) ).
fof(f1104,plain,
( ~ sQ10_spl
| ~ sQ27_spl
| sQ215_spl ),
inference(contradiction_clause,[status(thm)],[f1103]) ).
fof(f1107,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ193_spl
| c5_2(a449,X0)
| c2_2(a449,X0)
| c4_2(a449,X0)
| ~ c4_1(a449)
| ~ c1_1(a449) ),
inference(resolution,[status(thm)],[f1087,f363]) ).
fof(f1108,plain,
( ~ sQ58_spl
| ~ sQ193_spl
| sQ143_spl
| ~ sQ142_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1107,f186,f703,f706,f973,f362]) ).
fof(f1109,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ206_spl
| c5_2(a465,X0)
| c2_2(a465,X0)
| c4_2(a465,X0)
| ~ c4_1(a465)
| ~ c1_1(a465) ),
inference(resolution,[status(thm)],[f1078,f363]) ).
fof(f1110,plain,
( ~ sQ58_spl
| ~ sQ206_spl
| sQ109_spl
| ~ sQ108_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f1109,f573,f576,f579,f1016,f362]) ).
fof(f1111,plain,
( ~ sQ62_spl
| sQ15_spl
| sP5_prd(a449)
| sP4_prd(a449) ),
inference(resolution,[status(thm)],[f188,f381]) ).
fof(f1112,plain,
( ~ sQ62_spl
| sQ15_spl
| sQ146_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f1111,f728,f718,f186,f380]) ).
fof(f1115,plain,
( ~ sQ146_spl
| c2_2(a449,a469) ),
inference(resolution,[status(thm)],[f719,f128]) ).
fof(f1116,plain,
( ~ sQ146_spl
| c4_2(a449,a469) ),
inference(resolution,[status(thm)],[f719,f127]) ).
fof(f1117,plain,
( ~ sQ146_spl
| c5_2(a449,a469) ),
inference(resolution,[status(thm)],[f719,f126]) ).
fof(f1118,plain,
( ~ sQ146_spl
| ndr1_1(a449) ),
inference(resolution,[status(thm)],[f719,f125]) ).
fof(f1119,plain,
( ~ sQ149_spl
| c5_2(a449,a468) ),
inference(resolution,[status(thm)],[f729,f121]) ).
fof(f1120,plain,
( ~ sQ149_spl
| c2_2(a449,a468) ),
inference(resolution,[status(thm)],[f729,f119]) ).
fof(f1121,plain,
( ~ sQ149_spl
| ndr1_1(a449) ),
inference(resolution,[status(thm)],[f729,f118]) ).
fof(f1122,plain,
! [X0] :
( ~ sQ187_spl
| ~ sQ167_spl
| c2_2(a460,X0)
| c4_2(a460,X0)
| c3_2(a460,X0) ),
inference(resolution,[status(thm)],[f820,f924]) ).
fof(f1127,plain,
( ~ sQ7_spl
| ~ sQ187_spl
| ~ sQ167_spl
| ~ c2_1(a460)
| sP0_prd(a460)
| c2_2(a460,a444)
| c4_2(a460,a444) ),
inference(resolution,[status(thm)],[f1122,f155]) ).
fof(f1128,plain,
( ~ sQ187_spl
| ~ sQ167_spl
| c1_2(a460,a443)
| ~ ndr1_1(a460)
| sP0_prd(a460)
| c2_2(a460,a443)
| c4_2(a460,a443) ),
inference(resolution,[status(thm)],[f1122,f85]) ).
fof(f1129,definition,
( sQ220_spl
<=> c2_2(a460,a444) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f1130,plain,
( ~ sQ220_spl
| c2_2(a460,a444) ),
inference(component_clause,[status(thm)],[f1129]) ).
fof(f1132,plain,
( ~ sQ7_spl
| ~ sQ187_spl
| ~ sQ167_spl
| ~ sQ39_spl
| sQ165_spl
| sQ220_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f1127,f956,f1129,f812,f283,f819,f923,f154]) ).
fof(f1133,definition,
( sQ221_spl
<=> c2_2(a460,a443) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f1134,plain,
( ~ sQ221_spl
| c2_2(a460,a443) ),
inference(component_clause,[status(thm)],[f1133]) ).
fof(f1136,plain,
( ~ sQ187_spl
| ~ sQ167_spl
| sQ166_spl
| ~ sQ41_spl
| sQ165_spl
| sQ221_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f1128,f890,f1133,f812,f291,f815,f819,f923]) ).
fof(f1141,plain,
( ~ sQ166_spl
| ~ sP0_prd(a460) ),
inference(resolution,[status(thm)],[f816,f83]) ).
fof(f1142,plain,
( ~ sQ166_spl
| ~ sQ165_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1141,f813]) ).
fof(f1143,plain,
( ~ sQ166_spl
| ~ sQ165_spl ),
inference(contradiction_clause,[status(thm)],[f1142]) ).
fof(f1144,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ80_spl
| c5_2(a458,X0)
| c2_2(a458,X0)
| c4_2(a458,X0)
| ~ c4_1(a458)
| ~ c1_1(a458) ),
inference(resolution,[status(thm)],[f458,f363]) ).
fof(f1145,definition,
( sQ222_spl
<=> c4_1(a458) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f1147,plain,
( sQ222_spl
| ~ c4_1(a458) ),
inference(component_clause,[status(thm)],[f1145]) ).
fof(f1148,definition,
! [X0] :
( sQ223_spl
<=> ( c5_2(a458,X0)
| c2_2(a458,X0)
| c4_2(a458,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f1149,plain,
! [X0] :
( ~ sQ223_spl
| c5_2(a458,X0)
| c2_2(a458,X0)
| c4_2(a458,X0) ),
inference(component_clause,[status(thm)],[f1148]) ).
fof(f1151,plain,
( ~ sQ58_spl
| ~ sQ80_spl
| sQ223_spl
| ~ sQ222_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f1144,f449,f1145,f1148,f457,f362]) ).
fof(f1183,plain,
( ~ sQ175_spl
| ~ sQ173_spl
| c3_2(a455,a456) ),
inference(resolution,[status(thm)],[f858,f865]) ).
fof(f1184,plain,
( ~ sQ124_spl
| ~ sQ173_spl
| c3_2(a455,a468) ),
inference(resolution,[status(thm)],[f858,f848]) ).
fof(f1185,plain,
( ~ sQ125_spl
| ~ sQ173_spl
| c3_2(a455,a469) ),
inference(resolution,[status(thm)],[f858,f845]) ).
fof(f1186,plain,
( ~ sQ171_spl
| ~ sQ173_spl
| c3_2(a455,a457) ),
inference(resolution,[status(thm)],[f858,f837]) ).
fof(f1187,plain,
! [X0] :
( ~ sQ127_spl
| ~ sQ173_spl
| c2_2(a455,X0)
| c4_2(a455,X0)
| c3_2(a455,X0) ),
inference(resolution,[status(thm)],[f858,f647]) ).
fof(f1188,plain,
( ~ sQ175_spl
| ~ sQ173_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f1183,f250,f857,f864]) ).
fof(f1189,plain,
( ~ sQ7_spl
| ~ sQ127_spl
| ~ sQ173_spl
| ~ c2_1(a455)
| sP0_prd(a455)
| c2_2(a455,a444)
| c4_2(a455,a444) ),
inference(resolution,[status(thm)],[f1187,f155]) ).
fof(f1190,plain,
( ~ sQ127_spl
| ~ sQ173_spl
| c1_2(a455,a443)
| ~ ndr1_1(a455)
| sP0_prd(a455)
| c2_2(a455,a443)
| c4_2(a455,a443) ),
inference(resolution,[status(thm)],[f1187,f85]) ).
fof(f1191,plain,
( ~ sQ7_spl
| ~ sQ127_spl
| ~ sQ173_spl
| ~ sQ170_spl
| sQ200_spl
| sQ202_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f1189,f999,f1002,f996,f833,f857,f646,f154]) ).
fof(f1192,definition,
( sQ231_spl
<=> c4_2(a455,a443) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f1193,plain,
( ~ sQ231_spl
| c4_2(a455,a443) ),
inference(component_clause,[status(thm)],[f1192]) ).
fof(f1195,definition,
( sQ232_spl
<=> c2_2(a455,a443) ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f1196,plain,
( ~ sQ232_spl
| c2_2(a455,a443) ),
inference(component_clause,[status(thm)],[f1195]) ).
fof(f1198,definition,
( sQ233_spl
<=> c1_2(a455,a443) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f1199,plain,
( ~ sQ233_spl
| c1_2(a455,a443) ),
inference(component_clause,[status(thm)],[f1198]) ).
fof(f1201,plain,
( ~ sQ127_spl
| ~ sQ173_spl
| sQ233_spl
| ~ sQ29_spl
| sQ200_spl
| sQ232_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f1190,f1192,f1195,f996,f242,f1198,f857,f646]) ).
fof(f1202,plain,
( ~ sQ180_spl
| ~ sP4_prd(a460) ),
inference(resolution,[status(thm)],[f884,f120]) ).
fof(f1203,plain,
( ~ sQ180_spl
| ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1202,f534]) ).
fof(f1204,plain,
( ~ sQ180_spl
| ~ sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f1203]) ).
fof(f1215,plain,
( ~ sQ137_spl
| ~ sQ183_spl
| c3_2(a451,a469) ),
inference(resolution,[status(thm)],[f910,f944]) ).
fof(f1216,plain,
! [X0] :
( ~ sQ134_spl
| ~ sQ183_spl
| c2_2(a451,X0)
| c4_2(a451,X0)
| c3_2(a451,X0) ),
inference(resolution,[status(thm)],[f910,f674]) ).
fof(f1217,plain,
( ~ sQ134_spl
| ~ sQ183_spl
| c1_2(a451,a443)
| ~ ndr1_1(a451)
| sP0_prd(a451)
| c2_2(a451,a443)
| c4_2(a451,a443) ),
inference(resolution,[status(thm)],[f1216,f85]) ).
fof(f1218,definition,
( sQ234_spl
<=> c4_2(a451,a443) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f1219,plain,
( ~ sQ234_spl
| c4_2(a451,a443) ),
inference(component_clause,[status(thm)],[f1218]) ).
fof(f1221,definition,
( sQ235_spl
<=> c2_2(a451,a443) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f1222,plain,
( ~ sQ235_spl
| c2_2(a451,a443) ),
inference(component_clause,[status(thm)],[f1221]) ).
fof(f1224,definition,
( sQ236_spl
<=> c1_2(a451,a443) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f1225,plain,
( ~ sQ236_spl
| c1_2(a451,a443) ),
inference(component_clause,[status(thm)],[f1224]) ).
fof(f1227,plain,
( ~ sQ134_spl
| ~ sQ183_spl
| sQ236_spl
| ~ sQ22_spl
| sQ196_spl
| sQ235_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f1217,f1218,f1221,f983,f214,f1224,f909,f673]) ).
fof(f1228,plain,
( ~ sQ81_spl
| ~ sQ218_spl
| c3_2(a458,a459) ),
inference(resolution,[status(thm)],[f1092,f462]) ).
fof(f1229,plain,
! [X0] :
( ~ sQ223_spl
| ~ sQ218_spl
| c2_2(a458,X0)
| c4_2(a458,X0)
| c3_2(a458,X0) ),
inference(resolution,[status(thm)],[f1092,f1149]) ).
fof(f1230,plain,
( ~ sQ81_spl
| ~ sQ218_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f1228,f469,f1091,f461]) ).
fof(f1231,plain,
( ~ sQ183_spl
| ~ sQ140_spl
| c3_2(a451,a468) ),
inference(resolution,[status(thm)],[f1059,f910]) ).
fof(f1276,plain,
( ~ sQ233_spl
| ~ sP0_prd(a455) ),
inference(resolution,[status(thm)],[f1199,f83]) ).
fof(f1277,plain,
( ~ sQ233_spl
| ~ sQ200_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1276,f997]) ).
fof(f1278,plain,
( ~ sQ233_spl
| ~ sQ200_spl ),
inference(contradiction_clause,[status(thm)],[f1277]) ).
fof(f1279,plain,
( ~ sQ236_spl
| ~ sP0_prd(a451) ),
inference(resolution,[status(thm)],[f1225,f83]) ).
fof(f1280,plain,
( ~ sQ236_spl
| ~ sQ196_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1279,f984]) ).
fof(f1281,plain,
( ~ sQ236_spl
| ~ sQ196_spl ),
inference(contradiction_clause,[status(thm)],[f1280]) ).
fof(model,axiom,
( sQ0_spl
| sQ1_spl
| ~ sQ2_spl
| sQ3_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ7_spl
| sQ8_spl
| ~ sQ9_spl
| sQ10_spl
| sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ14_spl
| sQ15_spl
| sQ16_spl
| sQ18_spl
| ~ sQ19_spl
| ~ sQ20_spl
| ~ sQ21_spl
| sQ22_spl
| ~ sQ23_spl
| sQ24_spl
| ~ sQ25_spl
| sQ26_spl
| ~ sQ27_spl
| sQ28_spl
| sQ29_spl
| sQ30_spl
| sQ31_spl
| sQ32_spl
| ~ sQ33_spl
| sQ34_spl
| sQ35_spl
| ~ sQ36_spl
| ~ sQ37_spl
| sQ38_spl
| ~ sQ39_spl
| sQ40_spl
| sQ41_spl
| ~ sQ42_spl
| sQ43_spl
| sQ44_spl
| sQ45_spl
| sQ46_spl
| sQ48_spl
| sQ49_spl
| sQ50_spl
| ~ sQ51_spl
| sQ54_spl
| sQ55_spl
| sQ56_spl
| ~ sQ57_spl
| sQ58_spl
| ~ sQ59_spl
| sQ61_spl
| sQ62_spl
| ~ sQ63_spl
| ~ sQ64_spl
| ~ sQ65_spl
| sQ66_spl
| sQ67_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
| ~ sQ85_spl
| sQ86_spl
| sQ89_spl
| sQ91_spl
| sQ92_spl
| sQ93_spl
| ~ sQ98_spl
| ~ sQ99_spl
| sQ102_spl
| ~ sQ105_spl
| ~ sQ106_spl
| ~ sQ107_spl
| ~ sQ108_spl
| sQ109_spl
| sQ112_spl
| sQ115_spl
| sQ124_spl
| sQ125_spl
| ~ sQ126_spl
| ~ sQ127_spl
| sQ133_spl
| ~ sQ134_spl
| sQ137_spl
| sQ140_spl
| ~ sQ142_spl
| sQ143_spl
| sQ146_spl
| sQ149_spl
| sQ151_spl
| sQ152_spl
| sQ155_spl
| sQ158_spl
| sQ160_spl
| sQ161_spl
| sQ162_spl
| ~ sQ163_spl
| sQ164_spl
| ~ sQ165_spl
| sQ166_spl
| ~ sQ167_spl
| ~ sQ168_spl
| ~ sQ169_spl
| ~ sQ170_spl
| sQ171_spl
| ~ sQ172_spl
| ~ sQ173_spl
| sQ174_spl
| sQ175_spl
| sQ178_spl
| ~ sQ179_spl
| sQ180_spl
| sQ181_spl
| sQ182_spl
| sQ183_spl
| sQ184_spl
| sQ185_spl
| ~ sQ186_spl
| sQ187_spl
| sQ188_spl
| sQ189_spl
| ~ sQ190_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
| sQ212_spl
| sQ213_spl
| sQ214_spl
| sQ215_spl
| sQ216_spl
| sQ217_spl
| ~ sQ218_spl
| sQ219_spl
| sQ220_spl
| sQ221_spl
| ~ sQ222_spl
| sQ223_spl
| sQ231_spl
| sQ232_spl
| sQ233_spl
| sQ234_spl
| sQ235_spl
| sQ236_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN533+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n003.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 21 11:08:01 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.45 % Drodi V4.1.1
% 0.16/0.47 % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.16/0.47 % SZS output start Saturation for theBenchmark
% See solution above
% 0.16/0.51 % Elapsed time: 0.065493 seconds
% 0.16/0.51 % CPU time: 0.145980 seconds
% 0.16/0.51 % Total memory used: 9.670 MB
% 0.16/0.51 % Net memory used: 9.648 MB
%------------------------------------------------------------------------------